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25.6k
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"n": "r + 4", "a": "n + 13", "v": "a + 3", "x": "v + 11", "g": "x + 11", "c": "g + 20", "q": "r + 7", "l": "q + 9", "s": "l + 16", "t": "s + 10", "d": "t + 5", "u": "d + 11", "r": 10}, "premises": {"r": 10}, "target": "c"}, "answer": {"steps": [["g", "x + 11", "x + 31"], ["x", "v + 11", "v + 42"], ["v", "a + 3", "a + 45"], ["a", "n + 13", "n + 58"], ["n", "r + 4", "r + 62"], ["r", 10, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"r": 10}, "is_reverse": true}}
| 2,300
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = x + 11; a = n + 13; v = a + 3; d = t + 5; q = r + 7; c = g + 20; r = 10; u = d + 11; t = s + 10; n = r + 4; x = v + 11; l = q + 9; s = l + 16. If r = 10, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 11 to c, which gives c = x + 31.\n2. Substitute x = v + 11 to c, which gives c = v + 42.\n3. Substitute v = a + 3 to c, which gives c = a + 45.\n4. Substitute a = n + 13 to c, which gives c = n + 58.\n5. Substitute n = r + 4 to c, which gives c = r + 62.\n6. Substitute r = 10 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 2300,
"question": "Consider a system of variables where each variable is defined as follows: g = x + 11; a = n + 13; v = a + 3; d = t + 5; q = r + 7; c = g + 20; r = 10; u = d + 11; t = s + 10; n = r + 4; x = v + 11; l = q + 9; s = l + 16. If r = 10, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"c": "f + 8", "b": "c + 19", "j": "b + 11", "e": "j + 17", "r": "e + 8", "v": "r + 9", "n": "f + 1", "w": "n + 16", "s": "w + 7", "i": "s + 2", "a": "i + 17", "y": "a + 3", "f": 1}, "premises": {"f": 1}, "target": "v"}, "answer": {"steps": [["r", "e + 8", "e + 17"], ["e", "j + 17", "j + 34"], ["j", "b + 11", "b + 45"], ["b", "c + 19", "c + 64"], ["c", "f + 8", "f + 72"], ["f", 1, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"f": 1}, "is_reverse": true}}
| 2,301
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = w + 7; y = a + 3; w = n + 16; v = r + 9; b = c + 19; e = j + 17; a = i + 17; i = s + 2; f = 1; j = b + 11; r = e + 8; n = f + 1; c = f + 8. Given that f = 1, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 8 to v, which gives v = e + 17.\n2. Substitute e = j + 17 to v, which gives v = j + 34.\n3. Substitute j = b + 11 to v, which gives v = b + 45.\n4. Substitute b = c + 19 to v, which gives v = c + 64.\n5. Substitute c = f + 8 to v, which gives v = f + 72.\n6. Substitute f = 1 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 2301,
"question": "Suppose a collection of variables is related by the following definitions: s = w + 7; y = a + 3; w = n + 16; v = r + 9; b = c + 19; e = j + 17; a = i + 17; i = s + 2; f = 1; j = b + 11; r = e + 8; n = f + 1; c = f + 8. Given that f = 1, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"x": "w + 17", "y": "x + 20", "i": "y + 9", "q": "i + 19", "v": "q + 14", "l": "v + 12", "u": "w + 7", "f": "u + 6", "z": "f + 16", "b": "z + 13", "a": "b + 17", "k": "a + 16", "w": 16}, "premises": {"w": 16}, "target": "l"}, "answer": {"steps": [["v", "q + 14", "q + 26"], ["q", "i + 19", "i + 45"], ["i", "y + 9", "y + 54"], ["y", "x + 20", "x + 74"], ["x", "w + 17", "w + 91"], ["w", 16, "107"]], "target_var_name": "l", "target_value": 107, "value_dict": {"w": 16}, "is_reverse": true}}
| 2,302
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = z + 13; l = v + 12; i = y + 9; w = 16; v = q + 14; q = i + 19; u = w + 7; x = w + 17; y = x + 20; k = a + 16; z = f + 16; a = b + 17; f = u + 6. If w = 16, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 14 to l, which gives l = q + 26.\n2. Substitute q = i + 19 to l, which gives l = i + 45.\n3. Substitute i = y + 9 to l, which gives l = y + 54.\n4. Substitute y = x + 20 to l, which gives l = x + 74.\n5. Substitute x = w + 17 to l, which gives l = w + 91.\n6. Substitute w = 16 to l, which gives l = 107.\n\nThus, the final answer is l = \\boxed{107}.",
"index": 2302,
"question": "Consider a system of variables where each variable is defined as follows: b = z + 13; l = v + 12; i = y + 9; w = 16; v = q + 14; q = i + 19; u = w + 7; x = w + 17; y = x + 20; k = a + 16; z = f + 16; a = b + 17; f = u + 6. If w = 16, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "y + 8", "h": "w + 3", "k": "h + 12", "n": "k + 19", "a": "n + 14", "f": "a + 8", "u": "y + 10", "z": "u + 3", "s": "z + 16", "c": "s + 19", "l": "c + 4", "e": "l + 6", "y": 17}, "premises": {"y": 17}, "target": "f"}, "answer": {"steps": [["a", "n + 14", "n + 22"], ["n", "k + 19", "k + 41"], ["k", "h + 12", "h + 53"], ["h", "w + 3", "w + 56"], ["w", "y + 8", "y + 64"], ["y", 17, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"y": 17}, "is_reverse": true}}
| 2,303
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = y + 8; n = k + 19; y = 17; h = w + 3; s = z + 16; u = y + 10; k = h + 12; e = l + 6; l = c + 4; c = s + 19; f = a + 8; a = n + 14; z = u + 3. If y = 17, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 14 to f, which gives f = n + 22.\n2. Substitute n = k + 19 to f, which gives f = k + 41.\n3. Substitute k = h + 12 to f, which gives f = h + 53.\n4. Substitute h = w + 3 to f, which gives f = w + 56.\n5. Substitute w = y + 8 to f, which gives f = y + 64.\n6. Substitute y = 17 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 2303,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = y + 8; n = k + 19; y = 17; h = w + 3; s = z + 16; u = y + 10; k = h + 12; e = l + 6; l = c + 4; c = s + 19; f = a + 8; a = n + 14; z = u + 3. If y = 17, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 17", "q": "c + 8", "r": "q + 13", "y": "r + 1", "o": "y + 15", "s": "o + 20", "u": "p + 6", "j": "u + 3", "g": "j + 14", "w": "g + 1", "a": "w + 3", "h": "a + 1", "p": 3}, "premises": {"p": 3}, "target": "s"}, "answer": {"steps": [["o", "y + 15", "y + 35"], ["y", "r + 1", "r + 36"], ["r", "q + 13", "q + 49"], ["q", "c + 8", "c + 57"], ["c", "p + 17", "p + 74"], ["p", 3, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"p": 3}, "is_reverse": true}}
| 2,304
| 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 = 3; a = w + 3; o = y + 15; w = g + 1; y = r + 1; u = p + 6; q = c + 8; g = j + 14; r = q + 13; h = a + 1; s = o + 20; c = p + 17; j = u + 3. If p = 3, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 15 to s, which gives s = y + 35.\n2. Substitute y = r + 1 to s, which gives s = r + 36.\n3. Substitute r = q + 13 to s, which gives s = q + 49.\n4. Substitute q = c + 8 to s, which gives s = c + 57.\n5. Substitute c = p + 17 to s, which gives s = p + 74.\n6. Substitute p = 3 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 2304,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = 3; a = w + 3; o = y + 15; w = g + 1; y = r + 1; u = p + 6; q = c + 8; g = j + 14; r = q + 13; h = a + 1; s = o + 20; c = p + 17; j = u + 3. If p = 3, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"s": "a + 16", "k": "s + 4", "o": "k + 16", "b": "o + 1", "d": "b + 16", "t": "d + 11", "e": "a + 3", "v": "e + 13", "q": "v + 3", "z": "q + 20", "y": "z + 12", "j": "y + 6", "a": 17}, "premises": {"a": 17}, "target": "t"}, "answer": {"steps": [["d", "b + 16", "b + 27"], ["b", "o + 1", "o + 28"], ["o", "k + 16", "k + 44"], ["k", "s + 4", "s + 48"], ["s", "a + 16", "a + 64"], ["a", 17, "81"]], "target_var_name": "t", "target_value": 81, "value_dict": {"a": 17}, "is_reverse": true}}
| 2,305
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = a + 3; o = k + 16; z = q + 20; a = 17; t = d + 11; d = b + 16; j = y + 6; v = e + 13; q = v + 3; y = z + 12; b = o + 1; s = a + 16; k = s + 4. Given that a = 17, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 16 to t, which gives t = b + 27.\n2. Substitute b = o + 1 to t, which gives t = o + 28.\n3. Substitute o = k + 16 to t, which gives t = k + 44.\n4. Substitute k = s + 4 to t, which gives t = s + 48.\n5. Substitute s = a + 16 to t, which gives t = a + 64.\n6. Substitute a = 17 to t, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 2305,
"question": "Suppose a collection of variables is related by the following definitions: e = a + 3; o = k + 16; z = q + 20; a = 17; t = d + 11; d = b + 16; j = y + 6; v = e + 13; q = v + 3; y = z + 12; b = o + 1; s = a + 16; k = s + 4. Given that a = 17, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"u": "f + 16", "l": "u + 17", "y": "l + 3", "b": "y + 2", "h": "b + 3", "p": "h + 18", "x": "f + 3", "o": "x + 19", "r": "o + 12", "t": "r + 1", "s": "t + 18", "c": "s + 15", "f": 9}, "premises": {"f": 9}, "target": "p"}, "answer": {"steps": [["h", "b + 3", "b + 21"], ["b", "y + 2", "y + 23"], ["y", "l + 3", "l + 26"], ["l", "u + 17", "u + 43"], ["u", "f + 16", "f + 59"], ["f", 9, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"f": 9}, "is_reverse": true}}
| 2,306
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = l + 3; o = x + 19; b = y + 2; x = f + 3; r = o + 12; h = b + 3; l = u + 17; c = s + 15; t = r + 1; s = t + 18; u = f + 16; f = 9; p = h + 18. If f = 9, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 3 to p, which gives p = b + 21.\n2. Substitute b = y + 2 to p, which gives p = y + 23.\n3. Substitute y = l + 3 to p, which gives p = l + 26.\n4. Substitute l = u + 17 to p, which gives p = u + 43.\n5. Substitute u = f + 16 to p, which gives p = f + 59.\n6. Substitute f = 9 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 2306,
"question": "Consider a system of variables where each variable is defined as follows: y = l + 3; o = x + 19; b = y + 2; x = f + 3; r = o + 12; h = b + 3; l = u + 17; c = s + 15; t = r + 1; s = t + 18; u = f + 16; f = 9; p = h + 18. If f = 9, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"q": "r + 13", "t": "q + 11", "m": "t + 7", "w": "m + 14", "f": "w + 3", "e": "f + 10", "h": "r + 12", "l": "h + 20", "u": "l + 11", "i": "u + 17", "p": "i + 6", "y": "p + 1", "r": 6}, "premises": {"r": 6}, "target": "e"}, "answer": {"steps": [["f", "w + 3", "w + 13"], ["w", "m + 14", "m + 27"], ["m", "t + 7", "t + 34"], ["t", "q + 11", "q + 45"], ["q", "r + 13", "r + 58"], ["r", 6, "64"]], "target_var_name": "e", "target_value": 64, "value_dict": {"r": 6}, "is_reverse": true}}
| 2,307
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = i + 6; w = m + 14; f = w + 3; l = h + 20; e = f + 10; h = r + 12; y = p + 1; i = u + 17; q = r + 13; m = t + 7; u = l + 11; r = 6; t = q + 11. Given that r = 6, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 3 to e, which gives e = w + 13.\n2. Substitute w = m + 14 to e, which gives e = m + 27.\n3. Substitute m = t + 7 to e, which gives e = t + 34.\n4. Substitute t = q + 11 to e, which gives e = q + 45.\n5. Substitute q = r + 13 to e, which gives e = r + 58.\n6. Substitute r = 6 to e, which gives e = 64.\n\nThus, the final answer is e = \\boxed{64}.",
"index": 2307,
"question": "Suppose a collection of variables is related by the following definitions: p = i + 6; w = m + 14; f = w + 3; l = h + 20; e = f + 10; h = r + 12; y = p + 1; i = u + 17; q = r + 13; m = t + 7; u = l + 11; r = 6; t = q + 11. Given that r = 6, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"q": "m + 16", "g": "q + 19", "a": "g + 2", "f": "a + 13", "y": "f + 6", "c": "y + 13", "u": "m + 12", "v": "u + 7", "k": "v + 7", "n": "k + 17", "b": "n + 5", "l": "b + 17", "m": 15}, "premises": {"m": 15}, "target": "c"}, "answer": {"steps": [["y", "f + 6", "f + 19"], ["f", "a + 13", "a + 32"], ["a", "g + 2", "g + 34"], ["g", "q + 19", "q + 53"], ["q", "m + 16", "m + 69"], ["m", 15, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"m": 15}, "is_reverse": true}}
| 2,308
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = m + 16; y = f + 6; g = q + 19; v = u + 7; u = m + 12; l = b + 17; f = a + 13; a = g + 2; b = n + 5; k = v + 7; m = 15; n = k + 17; c = y + 13. Given that m = 15, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 6 to c, which gives c = f + 19.\n2. Substitute f = a + 13 to c, which gives c = a + 32.\n3. Substitute a = g + 2 to c, which gives c = g + 34.\n4. Substitute g = q + 19 to c, which gives c = q + 53.\n5. Substitute q = m + 16 to c, which gives c = m + 69.\n6. Substitute m = 15 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 2308,
"question": "Suppose a collection of variables is related by the following definitions: q = m + 16; y = f + 6; g = q + 19; v = u + 7; u = m + 12; l = b + 17; f = a + 13; a = g + 2; b = n + 5; k = v + 7; m = 15; n = k + 17; c = y + 13. Given that m = 15, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"q": "d + 3", "b": "q + 8", "r": "b + 13", "c": "r + 13", "x": "c + 11", "g": "x + 6", "e": "d + 13", "o": "e + 3", "k": "o + 6", "f": "k + 15", "l": "f + 11", "y": "l + 4", "d": 4}, "premises": {"d": 4}, "target": "g"}, "answer": {"steps": [["x", "c + 11", "c + 17"], ["c", "r + 13", "r + 30"], ["r", "b + 13", "b + 43"], ["b", "q + 8", "q + 51"], ["q", "d + 3", "d + 54"], ["d", 4, "58"]], "target_var_name": "g", "target_value": 58, "value_dict": {"d": 4}, "is_reverse": true}}
| 2,309
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = f + 11; e = d + 13; q = d + 3; y = l + 4; b = q + 8; c = r + 13; x = c + 11; k = o + 6; r = b + 13; f = k + 15; d = 4; o = e + 3; g = x + 6. Given that d = 4, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 11 to g, which gives g = c + 17.\n2. Substitute c = r + 13 to g, which gives g = r + 30.\n3. Substitute r = b + 13 to g, which gives g = b + 43.\n4. Substitute b = q + 8 to g, which gives g = q + 51.\n5. Substitute q = d + 3 to g, which gives g = d + 54.\n6. Substitute d = 4 to g, which gives g = 58.\n\nThus, the final answer is g = \\boxed{58}.",
"index": 2309,
"question": "Suppose a collection of variables is related by the following definitions: l = f + 11; e = d + 13; q = d + 3; y = l + 4; b = q + 8; c = r + 13; x = c + 11; k = o + 6; r = b + 13; f = k + 15; d = 4; o = e + 3; g = x + 6. Given that d = 4, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 19", "v": "k + 6", "o": "v + 13", "h": "o + 20", "e": "h + 1", "p": "e + 2", "x": "g + 10", "c": "x + 9", "f": "c + 8", "i": "f + 15", "m": "i + 4", "n": "m + 4", "g": 5}, "premises": {"g": 5}, "target": "p"}, "answer": {"steps": [["e", "h + 1", "h + 3"], ["h", "o + 20", "o + 23"], ["o", "v + 13", "v + 36"], ["v", "k + 6", "k + 42"], ["k", "g + 19", "g + 61"], ["g", 5, "66"]], "target_var_name": "p", "target_value": 66, "value_dict": {"g": 5}, "is_reverse": true}}
| 2,310
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = o + 20; x = g + 10; i = f + 15; p = e + 2; e = h + 1; n = m + 4; o = v + 13; f = c + 8; g = 5; k = g + 19; v = k + 6; m = i + 4; c = x + 9. Given that g = 5, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 1 to p, which gives p = h + 3.\n2. Substitute h = o + 20 to p, which gives p = o + 23.\n3. Substitute o = v + 13 to p, which gives p = v + 36.\n4. Substitute v = k + 6 to p, which gives p = k + 42.\n5. Substitute k = g + 19 to p, which gives p = g + 61.\n6. Substitute g = 5 to p, which gives p = 66.\n\nThus, the final answer is p = \\boxed{66}.",
"index": 2310,
"question": "Suppose a collection of variables is related by the following definitions: h = o + 20; x = g + 10; i = f + 15; p = e + 2; e = h + 1; n = m + 4; o = v + 13; f = c + 8; g = 5; k = g + 19; v = k + 6; m = i + 4; c = x + 9. Given that g = 5, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"s": "n + 3", "z": "s + 11", "i": "z + 18", "f": "i + 3", "j": "f + 10", "t": "j + 16", "l": "n + 12", "y": "l + 13", "p": "y + 7", "k": "p + 15", "a": "k + 17", "b": "a + 6", "n": 3}, "premises": {"n": 3}, "target": "t"}, "answer": {"steps": [["j", "f + 10", "f + 26"], ["f", "i + 3", "i + 29"], ["i", "z + 18", "z + 47"], ["z", "s + 11", "s + 58"], ["s", "n + 3", "n + 61"], ["n", 3, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"n": 3}, "is_reverse": true}}
| 2,311
| 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 = i + 3; z = s + 11; s = n + 3; y = l + 13; t = j + 16; p = y + 7; a = k + 17; l = n + 12; b = a + 6; j = f + 10; n = 3; k = p + 15; i = z + 18. If n = 3, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 10 to t, which gives t = f + 26.\n2. Substitute f = i + 3 to t, which gives t = i + 29.\n3. Substitute i = z + 18 to t, which gives t = z + 47.\n4. Substitute z = s + 11 to t, which gives t = s + 58.\n5. Substitute s = n + 3 to t, which gives t = n + 61.\n6. Substitute n = 3 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 2311,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 3; z = s + 11; s = n + 3; y = l + 13; t = j + 16; p = y + 7; a = k + 17; l = n + 12; b = a + 6; j = f + 10; n = 3; k = p + 15; i = z + 18. If n = 3, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"i": "o + 15", "g": "i + 6", "x": "g + 7", "m": "x + 12", "f": "m + 18", "n": "f + 5", "e": "o + 1", "b": "e + 7", "y": "b + 15", "t": "y + 14", "a": "t + 15", "j": "a + 5", "o": 5}, "premises": {"o": 5}, "target": "n"}, "answer": {"steps": [["f", "m + 18", "m + 23"], ["m", "x + 12", "x + 35"], ["x", "g + 7", "g + 42"], ["g", "i + 6", "i + 48"], ["i", "o + 15", "o + 63"], ["o", 5, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"o": 5}, "is_reverse": true}}
| 2,312
| 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 = a + 5; n = f + 5; m = x + 12; x = g + 7; t = y + 14; e = o + 1; y = b + 15; g = i + 6; f = m + 18; a = t + 15; o = 5; b = e + 7; i = o + 15. If o = 5, what is the resulting 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 f = m + 18 to n, which gives n = m + 23.\n2. Substitute m = x + 12 to n, which gives n = x + 35.\n3. Substitute x = g + 7 to n, which gives n = g + 42.\n4. Substitute g = i + 6 to n, which gives n = i + 48.\n5. Substitute i = o + 15 to n, which gives n = o + 63.\n6. Substitute o = 5 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 2312,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 5; n = f + 5; m = x + 12; x = g + 7; t = y + 14; e = o + 1; y = b + 15; g = i + 6; f = m + 18; a = t + 15; o = 5; b = e + 7; i = o + 15. If o = 5, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"l": "g + 20", "r": "l + 17", "o": "r + 13", "f": "o + 18", "s": "f + 8", "q": "s + 13", "c": "g + 6", "k": "c + 14", "u": "k + 5", "j": "u + 17", "z": "j + 2", "w": "z + 15", "g": 5}, "premises": {"g": 5}, "target": "q"}, "answer": {"steps": [["s", "f + 8", "f + 21"], ["f", "o + 18", "o + 39"], ["o", "r + 13", "r + 52"], ["r", "l + 17", "l + 69"], ["l", "g + 20", "g + 89"], ["g", 5, "94"]], "target_var_name": "q", "target_value": 94, "value_dict": {"g": 5}, "is_reverse": true}}
| 2,313
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = r + 13; z = j + 2; g = 5; c = g + 6; q = s + 13; k = c + 14; l = g + 20; w = z + 15; j = u + 17; f = o + 18; u = k + 5; r = l + 17; s = f + 8. Given that g = 5, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 8 to q, which gives q = f + 21.\n2. Substitute f = o + 18 to q, which gives q = o + 39.\n3. Substitute o = r + 13 to q, which gives q = r + 52.\n4. Substitute r = l + 17 to q, which gives q = l + 69.\n5. Substitute l = g + 20 to q, which gives q = g + 89.\n6. Substitute g = 5 to q, which gives q = 94.\n\nThus, the final answer is q = \\boxed{94}.",
"index": 2313,
"question": "Suppose a collection of variables is related by the following definitions: o = r + 13; z = j + 2; g = 5; c = g + 6; q = s + 13; k = c + 14; l = g + 20; w = z + 15; j = u + 17; f = o + 18; u = k + 5; r = l + 17; s = f + 8. Given that g = 5, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"h": "u + 1", "d": "h + 7", "f": "d + 1", "e": "f + 16", "y": "e + 9", "x": "y + 8", "j": "u + 3", "l": "j + 16", "g": "l + 7", "m": "g + 10", "k": "m + 15", "n": "k + 16", "u": 10}, "premises": {"u": 10}, "target": "x"}, "answer": {"steps": [["y", "e + 9", "e + 17"], ["e", "f + 16", "f + 33"], ["f", "d + 1", "d + 34"], ["d", "h + 7", "h + 41"], ["h", "u + 1", "u + 42"], ["u", 10, "52"]], "target_var_name": "x", "target_value": 52, "value_dict": {"u": 10}, "is_reverse": true}}
| 2,314
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 7; j = u + 3; e = f + 16; u = 10; x = y + 8; m = g + 10; f = d + 1; g = l + 7; k = m + 15; n = k + 16; y = e + 9; h = u + 1; l = j + 16. If u = 10, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 9 to x, which gives x = e + 17.\n2. Substitute e = f + 16 to x, which gives x = f + 33.\n3. Substitute f = d + 1 to x, which gives x = d + 34.\n4. Substitute d = h + 7 to x, which gives x = h + 41.\n5. Substitute h = u + 1 to x, which gives x = u + 42.\n6. Substitute u = 10 to x, which gives x = 52.\n\nThus, the final answer is x = \\boxed{52}.",
"index": 2314,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 7; j = u + 3; e = f + 16; u = 10; x = y + 8; m = g + 10; f = d + 1; g = l + 7; k = m + 15; n = k + 16; y = e + 9; h = u + 1; l = j + 16. If u = 10, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"k": "q + 13", "s": "k + 1", "m": "s + 4", "n": "m + 4", "u": "n + 2", "o": "u + 20", "r": "q + 7", "c": "r + 2", "v": "c + 12", "f": "v + 11", "a": "f + 10", "x": "a + 13", "q": 17}, "premises": {"q": 17}, "target": "o"}, "answer": {"steps": [["u", "n + 2", "n + 22"], ["n", "m + 4", "m + 26"], ["m", "s + 4", "s + 30"], ["s", "k + 1", "k + 31"], ["k", "q + 13", "q + 44"], ["q", 17, "61"]], "target_var_name": "o", "target_value": 61, "value_dict": {"q": 17}, "is_reverse": true}}
| 2,315
| 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 = s + 4; f = v + 11; q = 17; v = c + 12; k = q + 13; s = k + 1; r = q + 7; u = n + 2; x = a + 13; a = f + 10; n = m + 4; o = u + 20; c = r + 2. If q = 17, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 2 to o, which gives o = n + 22.\n2. Substitute n = m + 4 to o, which gives o = m + 26.\n3. Substitute m = s + 4 to o, which gives o = s + 30.\n4. Substitute s = k + 1 to o, which gives o = k + 31.\n5. Substitute k = q + 13 to o, which gives o = q + 44.\n6. Substitute q = 17 to o, which gives o = 61.\n\nThus, the final answer is o = \\boxed{61}.",
"index": 2315,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = s + 4; f = v + 11; q = 17; v = c + 12; k = q + 13; s = k + 1; r = q + 7; u = n + 2; x = a + 13; a = f + 10; n = m + 4; o = u + 20; c = r + 2. If q = 17, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"s": "o + 3", "z": "s + 5", "p": "z + 15", "e": "p + 8", "c": "e + 20", "g": "c + 6", "i": "o + 12", "h": "i + 14", "k": "h + 11", "r": "k + 1", "v": "r + 5", "j": "v + 6", "o": 15}, "premises": {"o": 15}, "target": "g"}, "answer": {"steps": [["c", "e + 20", "e + 26"], ["e", "p + 8", "p + 34"], ["p", "z + 15", "z + 49"], ["z", "s + 5", "s + 54"], ["s", "o + 3", "o + 57"], ["o", 15, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"o": 15}, "is_reverse": true}}
| 2,316
| 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 + 12; r = k + 1; s = o + 3; k = h + 11; v = r + 5; p = z + 15; e = p + 8; c = e + 20; h = i + 14; j = v + 6; g = c + 6; z = s + 5; o = 15. If o = 15, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 20 to g, which gives g = e + 26.\n2. Substitute e = p + 8 to g, which gives g = p + 34.\n3. Substitute p = z + 15 to g, which gives g = z + 49.\n4. Substitute z = s + 5 to g, which gives g = s + 54.\n5. Substitute s = o + 3 to g, which gives g = o + 57.\n6. Substitute o = 15 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 2316,
"question": "Consider a system of variables where each variable is defined as follows: i = o + 12; r = k + 1; s = o + 3; k = h + 11; v = r + 5; p = z + 15; e = p + 8; c = e + 20; h = i + 14; j = v + 6; g = c + 6; z = s + 5; o = 15. If o = 15, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"k": "e + 17", "x": "k + 15", "y": "x + 15", "a": "y + 17", "n": "a + 2", "m": "n + 7", "w": "e + 6", "t": "w + 4", "o": "t + 7", "d": "o + 10", "b": "d + 3", "z": "b + 16", "e": 4}, "premises": {"e": 4}, "target": "m"}, "answer": {"steps": [["n", "a + 2", "a + 9"], ["a", "y + 17", "y + 26"], ["y", "x + 15", "x + 41"], ["x", "k + 15", "k + 56"], ["k", "e + 17", "e + 73"], ["e", 4, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"e": 4}, "is_reverse": true}}
| 2,317
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = k + 15; e = 4; a = y + 17; b = d + 3; n = a + 2; o = t + 7; z = b + 16; k = e + 17; t = w + 4; m = n + 7; y = x + 15; d = o + 10; w = e + 6. If e = 4, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 2 to m, which gives m = a + 9.\n2. Substitute a = y + 17 to m, which gives m = y + 26.\n3. Substitute y = x + 15 to m, which gives m = x + 41.\n4. Substitute x = k + 15 to m, which gives m = k + 56.\n5. Substitute k = e + 17 to m, which gives m = e + 73.\n6. Substitute e = 4 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 2317,
"question": "Consider a system of variables where each variable is defined as follows: x = k + 15; e = 4; a = y + 17; b = d + 3; n = a + 2; o = t + 7; z = b + 16; k = e + 17; t = w + 4; m = n + 7; y = x + 15; d = o + 10; w = e + 6. If e = 4, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"u": "p + 19", "i": "u + 3", "q": "i + 20", "l": "q + 4", "r": "l + 6", "f": "r + 8", "d": "p + 7", "s": "d + 10", "k": "s + 5", "x": "k + 13", "w": "x + 14", "a": "w + 3", "p": 3}, "premises": {"p": 3}, "target": "f"}, "answer": {"steps": [["r", "l + 6", "l + 14"], ["l", "q + 4", "q + 18"], ["q", "i + 20", "i + 38"], ["i", "u + 3", "u + 41"], ["u", "p + 19", "p + 60"], ["p", 3, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"p": 3}, "is_reverse": true}}
| 2,318
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = q + 4; w = x + 14; k = s + 5; i = u + 3; u = p + 19; s = d + 10; q = i + 20; f = r + 8; x = k + 13; p = 3; d = p + 7; r = l + 6; a = w + 3. If p = 3, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 6 to f, which gives f = l + 14.\n2. Substitute l = q + 4 to f, which gives f = q + 18.\n3. Substitute q = i + 20 to f, which gives f = i + 38.\n4. Substitute i = u + 3 to f, which gives f = u + 41.\n5. Substitute u = p + 19 to f, which gives f = p + 60.\n6. Substitute p = 3 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 2318,
"question": "Consider a system of variables where each variable is defined as follows: l = q + 4; w = x + 14; k = s + 5; i = u + 3; u = p + 19; s = d + 10; q = i + 20; f = r + 8; x = k + 13; p = 3; d = p + 7; r = l + 6; a = w + 3. If p = 3, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 6", "h": "p + 11", "i": "h + 16", "l": "i + 9", "f": "l + 15", "o": "f + 5", "u": "m + 20", "k": "u + 14", "c": "k + 16", "n": "c + 19", "q": "n + 9", "v": "q + 11", "m": 5}, "premises": {"m": 5}, "target": "o"}, "answer": {"steps": [["f", "l + 15", "l + 20"], ["l", "i + 9", "i + 29"], ["i", "h + 16", "h + 45"], ["h", "p + 11", "p + 56"], ["p", "m + 6", "m + 62"], ["m", 5, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"m": 5}, "is_reverse": true}}
| 2,319
| 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 + 9; f = l + 15; m = 5; k = u + 14; i = h + 16; v = q + 11; q = n + 9; u = m + 20; n = c + 19; o = f + 5; c = k + 16; h = p + 11; p = m + 6. If m = 5, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 15 to o, which gives o = l + 20.\n2. Substitute l = i + 9 to o, which gives o = i + 29.\n3. Substitute i = h + 16 to o, which gives o = h + 45.\n4. Substitute h = p + 11 to o, which gives o = p + 56.\n5. Substitute p = m + 6 to o, which gives o = m + 62.\n6. Substitute m = 5 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 2319,
"question": "Consider a system of variables where each variable is defined as follows: l = i + 9; f = l + 15; m = 5; k = u + 14; i = h + 16; v = q + 11; q = n + 9; u = m + 20; n = c + 19; o = f + 5; c = k + 16; h = p + 11; p = m + 6. If m = 5, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"i": "v + 7", "h": "i + 11", "s": "h + 4", "y": "s + 6", "e": "y + 19", "g": "e + 4", "f": "v + 10", "t": "f + 1", "o": "t + 13", "p": "o + 14", "n": "p + 6", "d": "n + 19", "v": 17}, "premises": {"v": 17}, "target": "g"}, "answer": {"steps": [["e", "y + 19", "y + 23"], ["y", "s + 6", "s + 29"], ["s", "h + 4", "h + 33"], ["h", "i + 11", "i + 44"], ["i", "v + 7", "v + 51"], ["v", 17, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"v": 17}, "is_reverse": true}}
| 2,320
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = h + 4; h = i + 11; g = e + 4; i = v + 7; n = p + 6; t = f + 1; v = 17; d = n + 19; f = v + 10; y = s + 6; o = t + 13; p = o + 14; e = y + 19. If v = 17, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 19 to g, which gives g = y + 23.\n2. Substitute y = s + 6 to g, which gives g = s + 29.\n3. Substitute s = h + 4 to g, which gives g = h + 33.\n4. Substitute h = i + 11 to g, which gives g = i + 44.\n5. Substitute i = v + 7 to g, which gives g = v + 51.\n6. Substitute v = 17 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 2320,
"question": "Consider a system of variables where each variable is defined as follows: s = h + 4; h = i + 11; g = e + 4; i = v + 7; n = p + 6; t = f + 1; v = 17; d = n + 19; f = v + 10; y = s + 6; o = t + 13; p = o + 14; e = y + 19. If v = 17, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"u": "a + 11", "f": "u + 9", "w": "f + 9", "t": "w + 7", "x": "t + 16", "q": "x + 12", "m": "a + 9", "i": "m + 10", "j": "i + 8", "h": "j + 3", "v": "h + 11", "s": "v + 15", "a": 13}, "premises": {"a": 13}, "target": "q"}, "answer": {"steps": [["x", "t + 16", "t + 28"], ["t", "w + 7", "w + 35"], ["w", "f + 9", "f + 44"], ["f", "u + 9", "u + 53"], ["u", "a + 11", "a + 64"], ["a", 13, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"a": 13}, "is_reverse": true}}
| 2,321
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = h + 11; a = 13; t = w + 7; f = u + 9; h = j + 3; q = x + 12; m = a + 9; u = a + 11; s = v + 15; x = t + 16; j = i + 8; w = f + 9; i = m + 10. Given that a = 13, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = t + 16 to q, which gives q = t + 28.\n2. Substitute t = w + 7 to q, which gives q = w + 35.\n3. Substitute w = f + 9 to q, which gives q = f + 44.\n4. Substitute f = u + 9 to q, which gives q = u + 53.\n5. Substitute u = a + 11 to q, which gives q = a + 64.\n6. Substitute a = 13 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 2321,
"question": "Suppose a collection of variables is related by the following definitions: v = h + 11; a = 13; t = w + 7; f = u + 9; h = j + 3; q = x + 12; m = a + 9; u = a + 11; s = v + 15; x = t + 16; j = i + 8; w = f + 9; i = m + 10. Given that a = 13, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"w": "h + 11", "e": "w + 19", "y": "e + 19", "p": "y + 14", "r": "p + 6", "s": "r + 13", "a": "h + 16", "x": "a + 15", "k": "x + 8", "z": "k + 8", "f": "z + 16", "g": "f + 10", "h": 12}, "premises": {"h": 12}, "target": "s"}, "answer": {"steps": [["r", "p + 6", "p + 19"], ["p", "y + 14", "y + 33"], ["y", "e + 19", "e + 52"], ["e", "w + 19", "w + 71"], ["w", "h + 11", "h + 82"], ["h", 12, "94"]], "target_var_name": "s", "target_value": 94, "value_dict": {"h": 12}, "is_reverse": true}}
| 2,322
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = p + 6; h = 12; z = k + 8; f = z + 16; w = h + 11; s = r + 13; x = a + 15; g = f + 10; k = x + 8; e = w + 19; y = e + 19; a = h + 16; p = y + 14. Given that h = 12, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 6 to s, which gives s = p + 19.\n2. Substitute p = y + 14 to s, which gives s = y + 33.\n3. Substitute y = e + 19 to s, which gives s = e + 52.\n4. Substitute e = w + 19 to s, which gives s = w + 71.\n5. Substitute w = h + 11 to s, which gives s = h + 82.\n6. Substitute h = 12 to s, which gives s = 94.\n\nThus, the final answer is s = \\boxed{94}.",
"index": 2322,
"question": "Suppose a collection of variables is related by the following definitions: r = p + 6; h = 12; z = k + 8; f = z + 16; w = h + 11; s = r + 13; x = a + 15; g = f + 10; k = x + 8; e = w + 19; y = e + 19; a = h + 16; p = y + 14. Given that h = 12, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"o": "d + 5", "e": "o + 10", "y": "e + 4", "r": "y + 19", "w": "r + 9", "p": "w + 3", "i": "d + 14", "f": "i + 20", "c": "f + 11", "b": "c + 3", "t": "b + 7", "a": "t + 15", "d": 3}, "premises": {"d": 3}, "target": "p"}, "answer": {"steps": [["w", "r + 9", "r + 12"], ["r", "y + 19", "y + 31"], ["y", "e + 4", "e + 35"], ["e", "o + 10", "o + 45"], ["o", "d + 5", "d + 50"], ["d", 3, "53"]], "target_var_name": "p", "target_value": 53, "value_dict": {"d": 3}, "is_reverse": true}}
| 2,323
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = w + 3; d = 3; i = d + 14; a = t + 15; y = e + 4; w = r + 9; r = y + 19; b = c + 3; o = d + 5; f = i + 20; t = b + 7; c = f + 11; e = o + 10. If d = 3, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 9 to p, which gives p = r + 12.\n2. Substitute r = y + 19 to p, which gives p = y + 31.\n3. Substitute y = e + 4 to p, which gives p = e + 35.\n4. Substitute e = o + 10 to p, which gives p = o + 45.\n5. Substitute o = d + 5 to p, which gives p = d + 50.\n6. Substitute d = 3 to p, which gives p = 53.\n\nThus, the final answer is p = \\boxed{53}.",
"index": 2323,
"question": "Consider a system of variables where each variable is defined as follows: p = w + 3; d = 3; i = d + 14; a = t + 15; y = e + 4; w = r + 9; r = y + 19; b = c + 3; o = d + 5; f = i + 20; t = b + 7; c = f + 11; e = o + 10. If d = 3, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"z": "s + 15", "k": "z + 19", "o": "k + 5", "f": "o + 18", "r": "f + 1", "u": "r + 10", "n": "s + 20", "b": "n + 12", "l": "b + 4", "e": "l + 9", "w": "e + 18", "h": "w + 4", "s": 4}, "premises": {"s": 4}, "target": "u"}, "answer": {"steps": [["r", "f + 1", "f + 11"], ["f", "o + 18", "o + 29"], ["o", "k + 5", "k + 34"], ["k", "z + 19", "z + 53"], ["z", "s + 15", "s + 68"], ["s", 4, "72"]], "target_var_name": "u", "target_value": 72, "value_dict": {"s": 4}, "is_reverse": true}}
| 2,324
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 4; u = r + 10; w = e + 18; n = s + 20; f = o + 18; r = f + 1; o = k + 5; k = z + 19; e = l + 9; b = n + 12; l = b + 4; z = s + 15; s = 4. If s = 4, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 1 to u, which gives u = f + 11.\n2. Substitute f = o + 18 to u, which gives u = o + 29.\n3. Substitute o = k + 5 to u, which gives u = k + 34.\n4. Substitute k = z + 19 to u, which gives u = z + 53.\n5. Substitute z = s + 15 to u, which gives u = s + 68.\n6. Substitute s = 4 to u, which gives u = 72.\n\nThus, the final answer is u = \\boxed{72}.",
"index": 2324,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 4; u = r + 10; w = e + 18; n = s + 20; f = o + 18; r = f + 1; o = k + 5; k = z + 19; e = l + 9; b = n + 12; l = b + 4; z = s + 15; s = 4. If s = 4, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"h": "w + 9", "n": "h + 9", "i": "n + 2", "g": "i + 16", "k": "g + 20", "a": "k + 8", "f": "w + 5", "z": "f + 3", "q": "z + 10", "o": "q + 13", "v": "o + 17", "y": "v + 10", "w": 18}, "premises": {"w": 18}, "target": "a"}, "answer": {"steps": [["k", "g + 20", "g + 28"], ["g", "i + 16", "i + 44"], ["i", "n + 2", "n + 46"], ["n", "h + 9", "h + 55"], ["h", "w + 9", "w + 64"], ["w", 18, "82"]], "target_var_name": "a", "target_value": 82, "value_dict": {"w": 18}, "is_reverse": true}}
| 2,325
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = h + 9; w = 18; f = w + 5; y = v + 10; g = i + 16; a = k + 8; q = z + 10; h = w + 9; z = f + 3; k = g + 20; v = o + 17; o = q + 13; i = n + 2. If w = 18, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 20 to a, which gives a = g + 28.\n2. Substitute g = i + 16 to a, which gives a = i + 44.\n3. Substitute i = n + 2 to a, which gives a = n + 46.\n4. Substitute n = h + 9 to a, which gives a = h + 55.\n5. Substitute h = w + 9 to a, which gives a = w + 64.\n6. Substitute w = 18 to a, which gives a = 82.\n\nThus, the final answer is a = \\boxed{82}.",
"index": 2325,
"question": "Consider a system of variables where each variable is defined as follows: n = h + 9; w = 18; f = w + 5; y = v + 10; g = i + 16; a = k + 8; q = z + 10; h = w + 9; z = f + 3; k = g + 20; v = o + 17; o = q + 13; i = n + 2. If w = 18, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"u": "m + 17", "b": "u + 10", "e": "b + 5", "d": "e + 9", "s": "d + 10", "a": "s + 10", "p": "m + 10", "k": "p + 19", "v": "k + 3", "i": "v + 20", "f": "i + 6", "o": "f + 14", "m": 1}, "premises": {"m": 1}, "target": "a"}, "answer": {"steps": [["s", "d + 10", "d + 20"], ["d", "e + 9", "e + 29"], ["e", "b + 5", "b + 34"], ["b", "u + 10", "u + 44"], ["u", "m + 17", "m + 61"], ["m", 1, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"m": 1}, "is_reverse": true}}
| 2,326
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = u + 10; o = f + 14; p = m + 10; m = 1; e = b + 5; f = i + 6; d = e + 9; k = p + 19; s = d + 10; a = s + 10; v = k + 3; u = m + 17; i = v + 20. Given that m = 1, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 10 to a, which gives a = d + 20.\n2. Substitute d = e + 9 to a, which gives a = e + 29.\n3. Substitute e = b + 5 to a, which gives a = b + 34.\n4. Substitute b = u + 10 to a, which gives a = u + 44.\n5. Substitute u = m + 17 to a, which gives a = m + 61.\n6. Substitute m = 1 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 2326,
"question": "Suppose a collection of variables is related by the following definitions: b = u + 10; o = f + 14; p = m + 10; m = 1; e = b + 5; f = i + 6; d = e + 9; k = p + 19; s = d + 10; a = s + 10; v = k + 3; u = m + 17; i = v + 20. Given that m = 1, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"m": "q + 20", "k": "m + 14", "f": "k + 1", "c": "f + 20", "l": "c + 19", "s": "l + 20", "g": "q + 9", "r": "g + 18", "p": "r + 3", "x": "p + 1", "b": "x + 14", "j": "b + 1", "q": 6}, "premises": {"q": 6}, "target": "s"}, "answer": {"steps": [["l", "c + 19", "c + 39"], ["c", "f + 20", "f + 59"], ["f", "k + 1", "k + 60"], ["k", "m + 14", "m + 74"], ["m", "q + 20", "q + 94"], ["q", 6, "100"]], "target_var_name": "s", "target_value": 100, "value_dict": {"q": 6}, "is_reverse": true}}
| 2,327
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = l + 20; m = q + 20; g = q + 9; q = 6; k = m + 14; f = k + 1; x = p + 1; c = f + 20; j = b + 1; p = r + 3; b = x + 14; l = c + 19; r = g + 18. Given that q = 6, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 19 to s, which gives s = c + 39.\n2. Substitute c = f + 20 to s, which gives s = f + 59.\n3. Substitute f = k + 1 to s, which gives s = k + 60.\n4. Substitute k = m + 14 to s, which gives s = m + 74.\n5. Substitute m = q + 20 to s, which gives s = q + 94.\n6. Substitute q = 6 to s, which gives s = 100.\n\nThus, the final answer is s = \\boxed{100}.",
"index": 2327,
"question": "Suppose a collection of variables is related by the following definitions: s = l + 20; m = q + 20; g = q + 9; q = 6; k = m + 14; f = k + 1; x = p + 1; c = f + 20; j = b + 1; p = r + 3; b = x + 14; l = c + 19; r = g + 18. Given that q = 6, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"o": "q + 16", "b": "o + 2", "c": "b + 20", "k": "c + 20", "z": "k + 7", "y": "z + 7", "x": "q + 6", "e": "x + 7", "p": "e + 19", "j": "p + 20", "f": "j + 20", "s": "f + 18", "q": 12}, "premises": {"q": 12}, "target": "y"}, "answer": {"steps": [["z", "k + 7", "k + 14"], ["k", "c + 20", "c + 34"], ["c", "b + 20", "b + 54"], ["b", "o + 2", "o + 56"], ["o", "q + 16", "q + 72"], ["q", 12, "84"]], "target_var_name": "y", "target_value": 84, "value_dict": {"q": 12}, "is_reverse": true}}
| 2,328
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = 12; f = j + 20; c = b + 20; b = o + 2; k = c + 20; p = e + 19; e = x + 7; y = z + 7; s = f + 18; o = q + 16; z = k + 7; j = p + 20; x = q + 6. If q = 12, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 7 to y, which gives y = k + 14.\n2. Substitute k = c + 20 to y, which gives y = c + 34.\n3. Substitute c = b + 20 to y, which gives y = b + 54.\n4. Substitute b = o + 2 to y, which gives y = o + 56.\n5. Substitute o = q + 16 to y, which gives y = q + 72.\n6. Substitute q = 12 to y, which gives y = 84.\n\nThus, the final answer is y = \\boxed{84}.",
"index": 2328,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 12; f = j + 20; c = b + 20; b = o + 2; k = c + 20; p = e + 19; e = x + 7; y = z + 7; s = f + 18; o = q + 16; z = k + 7; j = p + 20; x = q + 6. If q = 12, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"i": "b + 5", "l": "i + 15", "o": "l + 1", "z": "o + 17", "s": "z + 6", "q": "s + 3", "e": "b + 17", "n": "e + 1", "t": "n + 4", "w": "t + 11", "y": "w + 8", "p": "y + 5", "b": 15}, "premises": {"b": 15}, "target": "q"}, "answer": {"steps": [["s", "z + 6", "z + 9"], ["z", "o + 17", "o + 26"], ["o", "l + 1", "l + 27"], ["l", "i + 15", "i + 42"], ["i", "b + 5", "b + 47"], ["b", 15, "62"]], "target_var_name": "q", "target_value": 62, "value_dict": {"b": 15}, "is_reverse": true}}
| 2,329
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = b + 5; y = w + 8; w = t + 11; l = i + 15; s = z + 6; e = b + 17; n = e + 1; z = o + 17; p = y + 5; q = s + 3; b = 15; t = n + 4; o = l + 1. If b = 15, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 6 to q, which gives q = z + 9.\n2. Substitute z = o + 17 to q, which gives q = o + 26.\n3. Substitute o = l + 1 to q, which gives q = l + 27.\n4. Substitute l = i + 15 to q, which gives q = i + 42.\n5. Substitute i = b + 5 to q, which gives q = b + 47.\n6. Substitute b = 15 to q, which gives q = 62.\n\nThus, the final answer is q = \\boxed{62}.",
"index": 2329,
"question": "Consider a system of variables where each variable is defined as follows: i = b + 5; y = w + 8; w = t + 11; l = i + 15; s = z + 6; e = b + 17; n = e + 1; z = o + 17; p = y + 5; q = s + 3; b = 15; t = n + 4; o = l + 1. If b = 15, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"j": "z + 13", "a": "j + 15", "e": "a + 6", "c": "e + 10", "d": "c + 2", "w": "d + 12", "p": "z + 2", "m": "p + 12", "v": "m + 1", "t": "v + 4", "n": "t + 16", "q": "n + 3", "z": 4}, "premises": {"z": 4}, "target": "w"}, "answer": {"steps": [["d", "c + 2", "c + 14"], ["c", "e + 10", "e + 24"], ["e", "a + 6", "a + 30"], ["a", "j + 15", "j + 45"], ["j", "z + 13", "z + 58"], ["z", 4, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"z": 4}, "is_reverse": true}}
| 2,330
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = d + 12; e = a + 6; z = 4; a = j + 15; m = p + 12; d = c + 2; j = z + 13; q = n + 3; t = v + 4; c = e + 10; n = t + 16; v = m + 1; p = z + 2. Given that z = 4, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 2 to w, which gives w = c + 14.\n2. Substitute c = e + 10 to w, which gives w = e + 24.\n3. Substitute e = a + 6 to w, which gives w = a + 30.\n4. Substitute a = j + 15 to w, which gives w = j + 45.\n5. Substitute j = z + 13 to w, which gives w = z + 58.\n6. Substitute z = 4 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 2330,
"question": "Suppose a collection of variables is related by the following definitions: w = d + 12; e = a + 6; z = 4; a = j + 15; m = p + 12; d = c + 2; j = z + 13; q = n + 3; t = v + 4; c = e + 10; n = t + 16; v = m + 1; p = z + 2. Given that z = 4, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"w": "a + 3", "p": "w + 8", "f": "p + 4", "m": "f + 17", "c": "m + 6", "k": "c + 16", "t": "a + 4", "v": "t + 17", "q": "v + 4", "e": "q + 2", "d": "e + 3", "n": "d + 18", "a": 6}, "premises": {"a": 6}, "target": "k"}, "answer": {"steps": [["c", "m + 6", "m + 22"], ["m", "f + 17", "f + 39"], ["f", "p + 4", "p + 43"], ["p", "w + 8", "w + 51"], ["w", "a + 3", "a + 54"], ["a", 6, "60"]], "target_var_name": "k", "target_value": 60, "value_dict": {"a": 6}, "is_reverse": true}}
| 2,331
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = d + 18; w = a + 3; a = 6; c = m + 6; p = w + 8; k = c + 16; f = p + 4; d = e + 3; v = t + 17; e = q + 2; t = a + 4; q = v + 4; m = f + 17. Given that a = 6, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 6 to k, which gives k = m + 22.\n2. Substitute m = f + 17 to k, which gives k = f + 39.\n3. Substitute f = p + 4 to k, which gives k = p + 43.\n4. Substitute p = w + 8 to k, which gives k = w + 51.\n5. Substitute w = a + 3 to k, which gives k = a + 54.\n6. Substitute a = 6 to k, which gives k = 60.\n\nThus, the final answer is k = \\boxed{60}.",
"index": 2331,
"question": "Suppose a collection of variables is related by the following definitions: n = d + 18; w = a + 3; a = 6; c = m + 6; p = w + 8; k = c + 16; f = p + 4; d = e + 3; v = t + 17; e = q + 2; t = a + 4; q = v + 4; m = f + 17. Given that a = 6, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"a": "g + 2", "m": "a + 13", "j": "m + 11", "f": "j + 16", "t": "f + 1", "k": "t + 3", "e": "g + 20", "i": "e + 8", "n": "i + 5", "z": "n + 5", "q": "z + 18", "v": "q + 4", "g": 18}, "premises": {"g": 18}, "target": "k"}, "answer": {"steps": [["t", "f + 1", "f + 4"], ["f", "j + 16", "j + 20"], ["j", "m + 11", "m + 31"], ["m", "a + 13", "a + 44"], ["a", "g + 2", "g + 46"], ["g", 18, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"g": 18}, "is_reverse": true}}
| 2,332
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = z + 18; g = 18; e = g + 20; k = t + 3; m = a + 13; a = g + 2; j = m + 11; v = q + 4; t = f + 1; n = i + 5; f = j + 16; i = e + 8; z = n + 5. Given that g = 18, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 1 to k, which gives k = f + 4.\n2. Substitute f = j + 16 to k, which gives k = j + 20.\n3. Substitute j = m + 11 to k, which gives k = m + 31.\n4. Substitute m = a + 13 to k, which gives k = a + 44.\n5. Substitute a = g + 2 to k, which gives k = g + 46.\n6. Substitute g = 18 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 2332,
"question": "Suppose a collection of variables is related by the following definitions: q = z + 18; g = 18; e = g + 20; k = t + 3; m = a + 13; a = g + 2; j = m + 11; v = q + 4; t = f + 1; n = i + 5; f = j + 16; i = e + 8; z = n + 5. Given that g = 18, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 9", "u": "t + 15", "h": "u + 14", "v": "h + 1", "f": "v + 15", "r": "f + 2", "q": "n + 4", "e": "q + 2", "s": "e + 17", "b": "s + 16", "i": "b + 10", "d": "i + 3", "n": 16}, "premises": {"n": 16}, "target": "r"}, "answer": {"steps": [["f", "v + 15", "v + 17"], ["v", "h + 1", "h + 18"], ["h", "u + 14", "u + 32"], ["u", "t + 15", "t + 47"], ["t", "n + 9", "n + 56"], ["n", 16, "72"]], "target_var_name": "r", "target_value": 72, "value_dict": {"n": 16}, "is_reverse": true}}
| 2,333
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = i + 3; t = n + 9; s = e + 17; u = t + 15; n = 16; r = f + 2; i = b + 10; e = q + 2; v = h + 1; q = n + 4; b = s + 16; f = v + 15; h = u + 14. If n = 16, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 15 to r, which gives r = v + 17.\n2. Substitute v = h + 1 to r, which gives r = h + 18.\n3. Substitute h = u + 14 to r, which gives r = u + 32.\n4. Substitute u = t + 15 to r, which gives r = t + 47.\n5. Substitute t = n + 9 to r, which gives r = n + 56.\n6. Substitute n = 16 to r, which gives r = 72.\n\nThus, the final answer is r = \\boxed{72}.",
"index": 2333,
"question": "Consider a system of variables where each variable is defined as follows: d = i + 3; t = n + 9; s = e + 17; u = t + 15; n = 16; r = f + 2; i = b + 10; e = q + 2; v = h + 1; q = n + 4; b = s + 16; f = v + 15; h = u + 14. If n = 16, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"c": "n + 16", "i": "c + 18", "l": "i + 4", "b": "l + 1", "s": "b + 8", "m": "s + 11", "h": "n + 16", "o": "h + 15", "e": "o + 20", "d": "e + 17", "v": "d + 20", "j": "v + 17", "n": 9}, "premises": {"n": 9}, "target": "m"}, "answer": {"steps": [["s", "b + 8", "b + 19"], ["b", "l + 1", "l + 20"], ["l", "i + 4", "i + 24"], ["i", "c + 18", "c + 42"], ["c", "n + 16", "n + 58"], ["n", 9, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"n": 9}, "is_reverse": true}}
| 2,334
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 4; c = n + 16; s = b + 8; e = o + 20; i = c + 18; v = d + 20; j = v + 17; m = s + 11; n = 9; h = n + 16; o = h + 15; b = l + 1; d = e + 17. If n = 9, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 8 to m, which gives m = b + 19.\n2. Substitute b = l + 1 to m, which gives m = l + 20.\n3. Substitute l = i + 4 to m, which gives m = i + 24.\n4. Substitute i = c + 18 to m, which gives m = c + 42.\n5. Substitute c = n + 16 to m, which gives m = n + 58.\n6. Substitute n = 9 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 2334,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 4; c = n + 16; s = b + 8; e = o + 20; i = c + 18; v = d + 20; j = v + 17; m = s + 11; n = 9; h = n + 16; o = h + 15; b = l + 1; d = e + 17. If n = 9, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"m": "e + 17", "u": "m + 14", "v": "u + 7", "k": "v + 8", "c": "k + 13", "x": "c + 11", "t": "e + 2", "y": "t + 14", "a": "y + 7", "i": "a + 1", "d": "i + 19", "h": "d + 13", "e": 13}, "premises": {"e": 13}, "target": "x"}, "answer": {"steps": [["c", "k + 13", "k + 24"], ["k", "v + 8", "v + 32"], ["v", "u + 7", "u + 39"], ["u", "m + 14", "m + 53"], ["m", "e + 17", "e + 70"], ["e", 13, "83"]], "target_var_name": "x", "target_value": 83, "value_dict": {"e": 13}, "is_reverse": true}}
| 2,335
| 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; t = e + 2; e = 13; a = y + 7; i = a + 1; v = u + 7; u = m + 14; k = v + 8; y = t + 14; h = d + 13; c = k + 13; x = c + 11; m = e + 17. Given that e = 13, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 13 to x, which gives x = k + 24.\n2. Substitute k = v + 8 to x, which gives x = v + 32.\n3. Substitute v = u + 7 to x, which gives x = u + 39.\n4. Substitute u = m + 14 to x, which gives x = m + 53.\n5. Substitute m = e + 17 to x, which gives x = e + 70.\n6. Substitute e = 13 to x, which gives x = 83.\n\nThus, the final answer is x = \\boxed{83}.",
"index": 2335,
"question": "Suppose a collection of variables is related by the following definitions: d = i + 19; t = e + 2; e = 13; a = y + 7; i = a + 1; v = u + 7; u = m + 14; k = v + 8; y = t + 14; h = d + 13; c = k + 13; x = c + 11; m = e + 17. Given that e = 13, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"c": "z + 10", "n": "c + 16", "k": "n + 1", "r": "k + 13", "b": "r + 17", "u": "b + 8", "m": "z + 6", "d": "m + 3", "f": "d + 13", "s": "f + 8", "t": "s + 5", "a": "t + 5", "z": 9}, "premises": {"z": 9}, "target": "u"}, "answer": {"steps": [["b", "r + 17", "r + 25"], ["r", "k + 13", "k + 38"], ["k", "n + 1", "n + 39"], ["n", "c + 16", "c + 55"], ["c", "z + 10", "z + 65"], ["z", 9, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"z": 9}, "is_reverse": true}}
| 2,336
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = z + 10; k = n + 1; s = f + 8; b = r + 17; m = z + 6; a = t + 5; d = m + 3; u = b + 8; r = k + 13; n = c + 16; t = s + 5; z = 9; f = d + 13. Given that z = 9, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 17 to u, which gives u = r + 25.\n2. Substitute r = k + 13 to u, which gives u = k + 38.\n3. Substitute k = n + 1 to u, which gives u = n + 39.\n4. Substitute n = c + 16 to u, which gives u = c + 55.\n5. Substitute c = z + 10 to u, which gives u = z + 65.\n6. Substitute z = 9 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 2336,
"question": "Suppose a collection of variables is related by the following definitions: c = z + 10; k = n + 1; s = f + 8; b = r + 17; m = z + 6; a = t + 5; d = m + 3; u = b + 8; r = k + 13; n = c + 16; t = s + 5; z = 9; f = d + 13. Given that z = 9, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 9", "q": "h + 12", "g": "q + 7", "u": "g + 9", "c": "u + 6", "k": "c + 19", "l": "o + 5", "z": "l + 1", "x": "z + 12", "w": "x + 18", "j": "w + 5", "f": "j + 14", "o": 9}, "premises": {"o": 9}, "target": "k"}, "answer": {"steps": [["c", "u + 6", "u + 25"], ["u", "g + 9", "g + 34"], ["g", "q + 7", "q + 41"], ["q", "h + 12", "h + 53"], ["h", "o + 9", "o + 62"], ["o", 9, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"o": 9}, "is_reverse": true}}
| 2,337
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = c + 19; z = l + 1; u = g + 9; x = z + 12; f = j + 14; g = q + 7; l = o + 5; o = 9; q = h + 12; h = o + 9; c = u + 6; w = x + 18; j = w + 5. Given that o = 9, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 6 to k, which gives k = u + 25.\n2. Substitute u = g + 9 to k, which gives k = g + 34.\n3. Substitute g = q + 7 to k, which gives k = q + 41.\n4. Substitute q = h + 12 to k, which gives k = h + 53.\n5. Substitute h = o + 9 to k, which gives k = o + 62.\n6. Substitute o = 9 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 2337,
"question": "Suppose a collection of variables is related by the following definitions: k = c + 19; z = l + 1; u = g + 9; x = z + 12; f = j + 14; g = q + 7; l = o + 5; o = 9; q = h + 12; h = o + 9; c = u + 6; w = x + 18; j = w + 5. Given that o = 9, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"s": "q + 8", "z": "s + 12", "d": "z + 9", "i": "d + 19", "e": "i + 11", "r": "e + 15", "l": "q + 14", "h": "l + 10", "y": "h + 18", "x": "y + 13", "g": "x + 7", "b": "g + 18", "q": 20}, "premises": {"q": 20}, "target": "r"}, "answer": {"steps": [["e", "i + 11", "i + 26"], ["i", "d + 19", "d + 45"], ["d", "z + 9", "z + 54"], ["z", "s + 12", "s + 66"], ["s", "q + 8", "q + 74"], ["q", 20, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"q": 20}, "is_reverse": true}}
| 2,338
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = g + 18; q = 20; x = y + 13; y = h + 18; e = i + 11; s = q + 8; g = x + 7; z = s + 12; i = d + 19; h = l + 10; l = q + 14; d = z + 9; r = e + 15. If q = 20, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 11 to r, which gives r = i + 26.\n2. Substitute i = d + 19 to r, which gives r = d + 45.\n3. Substitute d = z + 9 to r, which gives r = z + 54.\n4. Substitute z = s + 12 to r, which gives r = s + 66.\n5. Substitute s = q + 8 to r, which gives r = q + 74.\n6. Substitute q = 20 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 2338,
"question": "Consider a system of variables where each variable is defined as follows: b = g + 18; q = 20; x = y + 13; y = h + 18; e = i + 11; s = q + 8; g = x + 7; z = s + 12; i = d + 19; h = l + 10; l = q + 14; d = z + 9; r = e + 15. If q = 20, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"g": "f + 5", "j": "g + 5", "v": "j + 3", "c": "v + 4", "l": "c + 17", "s": "l + 17", "b": "f + 12", "n": "b + 4", "h": "n + 8", "a": "h + 15", "z": "a + 7", "t": "z + 13", "f": 1}, "premises": {"f": 1}, "target": "s"}, "answer": {"steps": [["l", "c + 17", "c + 34"], ["c", "v + 4", "v + 38"], ["v", "j + 3", "j + 41"], ["j", "g + 5", "g + 46"], ["g", "f + 5", "f + 51"], ["f", 1, "52"]], "target_var_name": "s", "target_value": 52, "value_dict": {"f": 1}, "is_reverse": true}}
| 2,339
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = z + 13; n = b + 4; f = 1; z = a + 7; g = f + 5; s = l + 17; a = h + 15; c = v + 4; v = j + 3; l = c + 17; h = n + 8; b = f + 12; j = g + 5. If f = 1, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 17 to s, which gives s = c + 34.\n2. Substitute c = v + 4 to s, which gives s = v + 38.\n3. Substitute v = j + 3 to s, which gives s = j + 41.\n4. Substitute j = g + 5 to s, which gives s = g + 46.\n5. Substitute g = f + 5 to s, which gives s = f + 51.\n6. Substitute f = 1 to s, which gives s = 52.\n\nThus, the final answer is s = \\boxed{52}.",
"index": 2339,
"question": "Consider a system of variables where each variable is defined as follows: t = z + 13; n = b + 4; f = 1; z = a + 7; g = f + 5; s = l + 17; a = h + 15; c = v + 4; v = j + 3; l = c + 17; h = n + 8; b = f + 12; j = g + 5. If f = 1, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"b": "w + 14", "p": "b + 19", "g": "p + 2", "v": "g + 17", "c": "v + 15", "i": "c + 10", "m": "w + 7", "k": "m + 13", "t": "k + 19", "o": "t + 14", "y": "o + 6", "a": "y + 1", "w": 13}, "premises": {"w": 13}, "target": "i"}, "answer": {"steps": [["c", "v + 15", "v + 25"], ["v", "g + 17", "g + 42"], ["g", "p + 2", "p + 44"], ["p", "b + 19", "b + 63"], ["b", "w + 14", "w + 77"], ["w", 13, "90"]], "target_var_name": "i", "target_value": 90, "value_dict": {"w": 13}, "is_reverse": true}}
| 2,340
| 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 = o + 6; t = k + 19; k = m + 13; g = p + 2; c = v + 15; a = y + 1; w = 13; p = b + 19; i = c + 10; b = w + 14; m = w + 7; v = g + 17; o = t + 14. If w = 13, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 15 to i, which gives i = v + 25.\n2. Substitute v = g + 17 to i, which gives i = g + 42.\n3. Substitute g = p + 2 to i, which gives i = p + 44.\n4. Substitute p = b + 19 to i, which gives i = b + 63.\n5. Substitute b = w + 14 to i, which gives i = w + 77.\n6. Substitute w = 13 to i, which gives i = 90.\n\nThus, the final answer is i = \\boxed{90}.",
"index": 2340,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 6; t = k + 19; k = m + 13; g = p + 2; c = v + 15; a = y + 1; w = 13; p = b + 19; i = c + 10; b = w + 14; m = w + 7; v = g + 17; o = t + 14. If w = 13, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"t": "s + 8", "e": "t + 20", "i": "e + 8", "w": "i + 3", "a": "w + 4", "m": "a + 20", "h": "s + 15", "p": "h + 15", "b": "p + 15", "j": "b + 11", "v": "j + 9", "g": "v + 9", "s": 16}, "premises": {"s": 16}, "target": "m"}, "answer": {"steps": [["a", "w + 4", "w + 24"], ["w", "i + 3", "i + 27"], ["i", "e + 8", "e + 35"], ["e", "t + 20", "t + 55"], ["t", "s + 8", "s + 63"], ["s", 16, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"s": 16}, "is_reverse": true}}
| 2,341
| 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 + 3; m = a + 20; h = s + 15; t = s + 8; a = w + 4; v = j + 9; e = t + 20; p = h + 15; b = p + 15; j = b + 11; s = 16; g = v + 9; i = e + 8. If s = 16, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 4 to m, which gives m = w + 24.\n2. Substitute w = i + 3 to m, which gives m = i + 27.\n3. Substitute i = e + 8 to m, which gives m = e + 35.\n4. Substitute e = t + 20 to m, which gives m = t + 55.\n5. Substitute t = s + 8 to m, which gives m = s + 63.\n6. Substitute s = 16 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 2341,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = i + 3; m = a + 20; h = s + 15; t = s + 8; a = w + 4; v = j + 9; e = t + 20; p = h + 15; b = p + 15; j = b + 11; s = 16; g = v + 9; i = e + 8. If s = 16, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"u": "y + 13", "p": "u + 1", "o": "p + 9", "h": "o + 10", "a": "h + 12", "k": "a + 16", "z": "y + 12", "d": "z + 6", "w": "d + 8", "n": "w + 13", "b": "n + 2", "m": "b + 14", "y": 11}, "premises": {"y": 11}, "target": "k"}, "answer": {"steps": [["a", "h + 12", "h + 28"], ["h", "o + 10", "o + 38"], ["o", "p + 9", "p + 47"], ["p", "u + 1", "u + 48"], ["u", "y + 13", "y + 61"], ["y", 11, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"y": 11}, "is_reverse": true}}
| 2,342
| 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 = 11; k = a + 16; w = d + 8; d = z + 6; p = u + 1; b = n + 2; h = o + 10; u = y + 13; n = w + 13; z = y + 12; m = b + 14; o = p + 9; a = h + 12. If y = 11, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 12 to k, which gives k = h + 28.\n2. Substitute h = o + 10 to k, which gives k = o + 38.\n3. Substitute o = p + 9 to k, which gives k = p + 47.\n4. Substitute p = u + 1 to k, which gives k = u + 48.\n5. Substitute u = y + 13 to k, which gives k = y + 61.\n6. Substitute y = 11 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 2342,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = 11; k = a + 16; w = d + 8; d = z + 6; p = u + 1; b = n + 2; h = o + 10; u = y + 13; n = w + 13; z = y + 12; m = b + 14; o = p + 9; a = h + 12. If y = 11, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"g": "o + 4", "m": "g + 5", "l": "m + 3", "j": "l + 20", "x": "j + 2", "y": "x + 1", "w": "o + 6", "t": "w + 18", "u": "t + 18", "z": "u + 18", "v": "z + 12", "r": "v + 14", "o": 18}, "premises": {"o": 18}, "target": "y"}, "answer": {"steps": [["x", "j + 2", "j + 3"], ["j", "l + 20", "l + 23"], ["l", "m + 3", "m + 26"], ["m", "g + 5", "g + 31"], ["g", "o + 4", "o + 35"], ["o", 18, "53"]], "target_var_name": "y", "target_value": 53, "value_dict": {"o": 18}, "is_reverse": true}}
| 2,343
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = 18; g = o + 4; t = w + 18; m = g + 5; w = o + 6; v = z + 12; u = t + 18; l = m + 3; r = v + 14; z = u + 18; x = j + 2; j = l + 20; y = x + 1. If o = 18, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 2 to y, which gives y = j + 3.\n2. Substitute j = l + 20 to y, which gives y = l + 23.\n3. Substitute l = m + 3 to y, which gives y = m + 26.\n4. Substitute m = g + 5 to y, which gives y = g + 31.\n5. Substitute g = o + 4 to y, which gives y = o + 35.\n6. Substitute o = 18 to y, which gives y = 53.\n\nThus, the final answer is y = \\boxed{53}.",
"index": 2343,
"question": "Consider a system of variables where each variable is defined as follows: o = 18; g = o + 4; t = w + 18; m = g + 5; w = o + 6; v = z + 12; u = t + 18; l = m + 3; r = v + 14; z = u + 18; x = j + 2; j = l + 20; y = x + 1. If o = 18, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"r": "o + 19", "m": "r + 13", "z": "m + 13", "l": "z + 2", "h": "l + 17", "x": "h + 19", "t": "o + 12", "s": "t + 5", "c": "s + 12", "u": "c + 11", "q": "u + 17", "j": "q + 8", "o": 2}, "premises": {"o": 2}, "target": "x"}, "answer": {"steps": [["h", "l + 17", "l + 36"], ["l", "z + 2", "z + 38"], ["z", "m + 13", "m + 51"], ["m", "r + 13", "r + 64"], ["r", "o + 19", "o + 83"], ["o", 2, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"o": 2}, "is_reverse": true}}
| 2,344
| 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 = r + 13; j = q + 8; o = 2; r = o + 19; z = m + 13; t = o + 12; l = z + 2; q = u + 17; s = t + 5; u = c + 11; h = l + 17; x = h + 19; c = s + 12. If o = 2, 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 h = l + 17 to x, which gives x = l + 36.\n2. Substitute l = z + 2 to x, which gives x = z + 38.\n3. Substitute z = m + 13 to x, which gives x = m + 51.\n4. Substitute m = r + 13 to x, which gives x = r + 64.\n5. Substitute r = o + 19 to x, which gives x = o + 83.\n6. Substitute o = 2 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 2344,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 13; j = q + 8; o = 2; r = o + 19; z = m + 13; t = o + 12; l = z + 2; q = u + 17; s = t + 5; u = c + 11; h = l + 17; x = h + 19; c = s + 12. If o = 2, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"d": "y + 12", "o": "d + 16", "w": "o + 5", "r": "w + 5", "c": "r + 18", "l": "c + 14", "q": "y + 4", "u": "q + 12", "m": "u + 1", "n": "m + 16", "s": "n + 14", "h": "s + 18", "y": 11}, "premises": {"y": 11}, "target": "l"}, "answer": {"steps": [["c", "r + 18", "r + 32"], ["r", "w + 5", "w + 37"], ["w", "o + 5", "o + 42"], ["o", "d + 16", "d + 58"], ["d", "y + 12", "y + 70"], ["y", 11, "81"]], "target_var_name": "l", "target_value": 81, "value_dict": {"y": 11}, "is_reverse": true}}
| 2,345
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = u + 1; y = 11; w = o + 5; q = y + 4; c = r + 18; h = s + 18; u = q + 12; r = w + 5; l = c + 14; s = n + 14; n = m + 16; o = d + 16; d = y + 12. Given that y = 11, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 18 to l, which gives l = r + 32.\n2. Substitute r = w + 5 to l, which gives l = w + 37.\n3. Substitute w = o + 5 to l, which gives l = o + 42.\n4. Substitute o = d + 16 to l, which gives l = d + 58.\n5. Substitute d = y + 12 to l, which gives l = y + 70.\n6. Substitute y = 11 to l, which gives l = 81.\n\nThus, the final answer is l = \\boxed{81}.",
"index": 2345,
"question": "Suppose a collection of variables is related by the following definitions: m = u + 1; y = 11; w = o + 5; q = y + 4; c = r + 18; h = s + 18; u = q + 12; r = w + 5; l = c + 14; s = n + 14; n = m + 16; o = d + 16; d = y + 12. Given that y = 11, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"q": "f + 7", "r": "q + 7", "z": "r + 1", "n": "z + 2", "t": "n + 7", "l": "t + 18", "b": "f + 10", "x": "b + 3", "s": "x + 8", "y": "s + 6", "u": "y + 14", "j": "u + 9", "f": 20}, "premises": {"f": 20}, "target": "l"}, "answer": {"steps": [["t", "n + 7", "n + 25"], ["n", "z + 2", "z + 27"], ["z", "r + 1", "r + 28"], ["r", "q + 7", "q + 35"], ["q", "f + 7", "f + 42"], ["f", 20, "62"]], "target_var_name": "l", "target_value": 62, "value_dict": {"f": 20}, "is_reverse": true}}
| 2,346
| 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 = r + 1; s = x + 8; f = 20; q = f + 7; b = f + 10; l = t + 18; r = q + 7; y = s + 6; u = y + 14; j = u + 9; x = b + 3; n = z + 2; t = n + 7. If f = 20, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 7 to l, which gives l = n + 25.\n2. Substitute n = z + 2 to l, which gives l = z + 27.\n3. Substitute z = r + 1 to l, which gives l = r + 28.\n4. Substitute r = q + 7 to l, which gives l = q + 35.\n5. Substitute q = f + 7 to l, which gives l = f + 42.\n6. Substitute f = 20 to l, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 2346,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 1; s = x + 8; f = 20; q = f + 7; b = f + 10; l = t + 18; r = q + 7; y = s + 6; u = y + 14; j = u + 9; x = b + 3; n = z + 2; t = n + 7. If f = 20, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"j": "e + 18", "u": "j + 15", "o": "u + 18", "y": "o + 14", "h": "y + 13", "x": "h + 15", "z": "e + 12", "w": "z + 20", "l": "w + 4", "d": "l + 6", "r": "d + 19", "m": "r + 5", "e": 20}, "premises": {"e": 20}, "target": "x"}, "answer": {"steps": [["h", "y + 13", "y + 28"], ["y", "o + 14", "o + 42"], ["o", "u + 18", "u + 60"], ["u", "j + 15", "j + 75"], ["j", "e + 18", "e + 93"], ["e", 20, "113"]], "target_var_name": "x", "target_value": 113, "value_dict": {"e": 20}, "is_reverse": true}}
| 2,347
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = o + 14; x = h + 15; l = w + 4; o = u + 18; m = r + 5; h = y + 13; d = l + 6; e = 20; w = z + 20; j = e + 18; r = d + 19; z = e + 12; u = j + 15. Given that e = 20, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 113,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 13 to x, which gives x = y + 28.\n2. Substitute y = o + 14 to x, which gives x = o + 42.\n3. Substitute o = u + 18 to x, which gives x = u + 60.\n4. Substitute u = j + 15 to x, which gives x = j + 75.\n5. Substitute j = e + 18 to x, which gives x = e + 93.\n6. Substitute e = 20 to x, which gives x = 113.\n\nThus, the final answer is x = \\boxed{113}.",
"index": 2347,
"question": "Suppose a collection of variables is related by the following definitions: y = o + 14; x = h + 15; l = w + 4; o = u + 18; m = r + 5; h = y + 13; d = l + 6; e = 20; w = z + 20; j = e + 18; r = d + 19; z = e + 12; u = j + 15. Given that e = 20, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"g": "k + 3", "l": "g + 18", "a": "l + 20", "x": "a + 1", "h": "x + 18", "p": "h + 3", "f": "k + 7", "v": "f + 8", "b": "v + 8", "z": "b + 6", "t": "z + 2", "i": "t + 19", "k": 10}, "premises": {"k": 10}, "target": "p"}, "answer": {"steps": [["h", "x + 18", "x + 21"], ["x", "a + 1", "a + 22"], ["a", "l + 20", "l + 42"], ["l", "g + 18", "g + 60"], ["g", "k + 3", "k + 63"], ["k", 10, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"k": 10}, "is_reverse": true}}
| 2,348
| 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 = b + 6; f = k + 7; g = k + 3; a = l + 20; k = 10; p = h + 3; h = x + 18; v = f + 8; t = z + 2; l = g + 18; i = t + 19; x = a + 1; b = v + 8. If k = 10, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 18 to p, which gives p = x + 21.\n2. Substitute x = a + 1 to p, which gives p = a + 22.\n3. Substitute a = l + 20 to p, which gives p = l + 42.\n4. Substitute l = g + 18 to p, which gives p = g + 60.\n5. Substitute g = k + 3 to p, which gives p = k + 63.\n6. Substitute k = 10 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 2348,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = b + 6; f = k + 7; g = k + 3; a = l + 20; k = 10; p = h + 3; h = x + 18; v = f + 8; t = z + 2; l = g + 18; i = t + 19; x = a + 1; b = v + 8. If k = 10, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"i": "b + 15", "y": "i + 8", "f": "y + 18", "e": "f + 8", "a": "e + 2", "k": "a + 8", "h": "b + 15", "x": "h + 5", "m": "x + 17", "s": "m + 16", "z": "s + 7", "n": "z + 19", "b": 1}, "premises": {"b": 1}, "target": "k"}, "answer": {"steps": [["a", "e + 2", "e + 10"], ["e", "f + 8", "f + 18"], ["f", "y + 18", "y + 36"], ["y", "i + 8", "i + 44"], ["i", "b + 15", "b + 59"], ["b", 1, "60"]], "target_var_name": "k", "target_value": 60, "value_dict": {"b": 1}, "is_reverse": true}}
| 2,349
| 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 = e + 2; k = a + 8; f = y + 18; n = z + 19; y = i + 8; x = h + 5; m = x + 17; s = m + 16; i = b + 15; b = 1; e = f + 8; z = s + 7; h = b + 15. If b = 1, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 2 to k, which gives k = e + 10.\n2. Substitute e = f + 8 to k, which gives k = f + 18.\n3. Substitute f = y + 18 to k, which gives k = y + 36.\n4. Substitute y = i + 8 to k, which gives k = i + 44.\n5. Substitute i = b + 15 to k, which gives k = b + 59.\n6. Substitute b = 1 to k, which gives k = 60.\n\nThus, the final answer is k = \\boxed{60}.",
"index": 2349,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 2; k = a + 8; f = y + 18; n = z + 19; y = i + 8; x = h + 5; m = x + 17; s = m + 16; i = b + 15; b = 1; e = f + 8; z = s + 7; h = b + 15. If b = 1, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"h": "s + 10", "b": "h + 12", "f": "b + 5", "c": "f + 16", "o": "c + 1", "z": "o + 6", "q": "s + 2", "r": "q + 6", "i": "r + 6", "t": "i + 17", "k": "t + 4", "v": "k + 13", "s": 7}, "premises": {"s": 7}, "target": "z"}, "answer": {"steps": [["o", "c + 1", "c + 7"], ["c", "f + 16", "f + 23"], ["f", "b + 5", "b + 28"], ["b", "h + 12", "h + 40"], ["h", "s + 10", "s + 50"], ["s", 7, "57"]], "target_var_name": "z", "target_value": 57, "value_dict": {"s": 7}, "is_reverse": true}}
| 2,350
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = h + 12; h = s + 10; z = o + 6; o = c + 1; q = s + 2; f = b + 5; i = r + 6; c = f + 16; v = k + 13; t = i + 17; r = q + 6; s = 7; k = t + 4. Given that s = 7, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 1 to z, which gives z = c + 7.\n2. Substitute c = f + 16 to z, which gives z = f + 23.\n3. Substitute f = b + 5 to z, which gives z = b + 28.\n4. Substitute b = h + 12 to z, which gives z = h + 40.\n5. Substitute h = s + 10 to z, which gives z = s + 50.\n6. Substitute s = 7 to z, which gives z = 57.\n\nThus, the final answer is z = \\boxed{57}.",
"index": 2350,
"question": "Suppose a collection of variables is related by the following definitions: b = h + 12; h = s + 10; z = o + 6; o = c + 1; q = s + 2; f = b + 5; i = r + 6; c = f + 16; v = k + 13; t = i + 17; r = q + 6; s = 7; k = t + 4. Given that s = 7, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"l": "h + 5", "b": "l + 17", "g": "b + 19", "s": "g + 2", "y": "s + 5", "n": "y + 2", "d": "h + 11", "q": "d + 19", "k": "q + 9", "j": "k + 16", "o": "j + 13", "m": "o + 10", "h": 16}, "premises": {"h": 16}, "target": "n"}, "answer": {"steps": [["y", "s + 5", "s + 7"], ["s", "g + 2", "g + 9"], ["g", "b + 19", "b + 28"], ["b", "l + 17", "l + 45"], ["l", "h + 5", "h + 50"], ["h", 16, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"h": 16}, "is_reverse": true}}
| 2,351
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = d + 19; k = q + 9; d = h + 11; m = o + 10; o = j + 13; l = h + 5; n = y + 2; h = 16; s = g + 2; g = b + 19; b = l + 17; j = k + 16; y = s + 5. Given that h = 16, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 5 to n, which gives n = s + 7.\n2. Substitute s = g + 2 to n, which gives n = g + 9.\n3. Substitute g = b + 19 to n, which gives n = b + 28.\n4. Substitute b = l + 17 to n, which gives n = l + 45.\n5. Substitute l = h + 5 to n, which gives n = h + 50.\n6. Substitute h = 16 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 2351,
"question": "Suppose a collection of variables is related by the following definitions: q = d + 19; k = q + 9; d = h + 11; m = o + 10; o = j + 13; l = h + 5; n = y + 2; h = 16; s = g + 2; g = b + 19; b = l + 17; j = k + 16; y = s + 5. Given that h = 16, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"r": "u + 11", "s": "r + 11", "l": "s + 7", "n": "l + 6", "y": "n + 7", "q": "y + 18", "g": "u + 14", "b": "g + 9", "e": "b + 12", "f": "e + 19", "c": "f + 17", "z": "c + 13", "u": 14}, "premises": {"u": 14}, "target": "q"}, "answer": {"steps": [["y", "n + 7", "n + 25"], ["n", "l + 6", "l + 31"], ["l", "s + 7", "s + 38"], ["s", "r + 11", "r + 49"], ["r", "u + 11", "u + 60"], ["u", 14, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"u": 14}, "is_reverse": true}}
| 2,352
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = l + 6; r = u + 11; z = c + 13; e = b + 12; l = s + 7; s = r + 11; f = e + 19; y = n + 7; q = y + 18; u = 14; c = f + 17; g = u + 14; b = g + 9. If u = 14, determine the 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 y = n + 7 to q, which gives q = n + 25.\n2. Substitute n = l + 6 to q, which gives q = l + 31.\n3. Substitute l = s + 7 to q, which gives q = s + 38.\n4. Substitute s = r + 11 to q, which gives q = r + 49.\n5. Substitute r = u + 11 to q, which gives q = u + 60.\n6. Substitute u = 14 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 2352,
"question": "Consider a system of variables where each variable is defined as follows: n = l + 6; r = u + 11; z = c + 13; e = b + 12; l = s + 7; s = r + 11; f = e + 19; y = n + 7; q = y + 18; u = 14; c = f + 17; g = u + 14; b = g + 9. If u = 14, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"u": "q + 16", "c": "u + 2", "p": "c + 8", "w": "p + 19", "j": "w + 3", "i": "j + 12", "o": "q + 7", "k": "o + 17", "t": "k + 3", "x": "t + 4", "y": "x + 3", "h": "y + 13", "q": 18}, "premises": {"q": 18}, "target": "i"}, "answer": {"steps": [["j", "w + 3", "w + 15"], ["w", "p + 19", "p + 34"], ["p", "c + 8", "c + 42"], ["c", "u + 2", "u + 44"], ["u", "q + 16", "q + 60"], ["q", 18, "78"]], "target_var_name": "i", "target_value": 78, "value_dict": {"q": 18}, "is_reverse": true}}
| 2,353
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = p + 19; y = x + 3; q = 18; j = w + 3; p = c + 8; h = y + 13; k = o + 17; u = q + 16; x = t + 4; t = k + 3; i = j + 12; o = q + 7; c = u + 2. If q = 18, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 3 to i, which gives i = w + 15.\n2. Substitute w = p + 19 to i, which gives i = p + 34.\n3. Substitute p = c + 8 to i, which gives i = c + 42.\n4. Substitute c = u + 2 to i, which gives i = u + 44.\n5. Substitute u = q + 16 to i, which gives i = q + 60.\n6. Substitute q = 18 to i, which gives i = 78.\n\nThus, the final answer is i = \\boxed{78}.",
"index": 2353,
"question": "Consider a system of variables where each variable is defined as follows: w = p + 19; y = x + 3; q = 18; j = w + 3; p = c + 8; h = y + 13; k = o + 17; u = q + 16; x = t + 4; t = k + 3; i = j + 12; o = q + 7; c = u + 2. If q = 18, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"f": "e + 10", "o": "f + 19", "n": "o + 14", "a": "n + 12", "j": "a + 14", "b": "j + 18", "l": "e + 16", "v": "l + 13", "w": "v + 2", "m": "w + 16", "s": "m + 20", "z": "s + 6", "e": 20}, "premises": {"e": 20}, "target": "b"}, "answer": {"steps": [["j", "a + 14", "a + 32"], ["a", "n + 12", "n + 44"], ["n", "o + 14", "o + 58"], ["o", "f + 19", "f + 77"], ["f", "e + 10", "e + 87"], ["e", 20, "107"]], "target_var_name": "b", "target_value": 107, "value_dict": {"e": 20}, "is_reverse": true}}
| 2,354
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = a + 14; l = e + 16; f = e + 10; z = s + 6; w = v + 2; v = l + 13; b = j + 18; o = f + 19; a = n + 12; n = o + 14; m = w + 16; e = 20; s = m + 20. Given that e = 20, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 14 to b, which gives b = a + 32.\n2. Substitute a = n + 12 to b, which gives b = n + 44.\n3. Substitute n = o + 14 to b, which gives b = o + 58.\n4. Substitute o = f + 19 to b, which gives b = f + 77.\n5. Substitute f = e + 10 to b, which gives b = e + 87.\n6. Substitute e = 20 to b, which gives b = 107.\n\nThus, the final answer is b = \\boxed{107}.",
"index": 2354,
"question": "Suppose a collection of variables is related by the following definitions: j = a + 14; l = e + 16; f = e + 10; z = s + 6; w = v + 2; v = l + 13; b = j + 18; o = f + 19; a = n + 12; n = o + 14; m = w + 16; e = 20; s = m + 20. Given that e = 20, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"v": "a + 13", "m": "v + 8", "f": "m + 5", "c": "f + 11", "t": "c + 11", "u": "t + 8", "h": "a + 6", "y": "h + 20", "n": "y + 16", "x": "n + 17", "j": "x + 16", "l": "j + 17", "a": 4}, "premises": {"a": 4}, "target": "u"}, "answer": {"steps": [["t", "c + 11", "c + 19"], ["c", "f + 11", "f + 30"], ["f", "m + 5", "m + 35"], ["m", "v + 8", "v + 43"], ["v", "a + 13", "a + 56"], ["a", 4, "60"]], "target_var_name": "u", "target_value": 60, "value_dict": {"a": 4}, "is_reverse": true}}
| 2,355
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = y + 16; h = a + 6; u = t + 8; v = a + 13; c = f + 11; f = m + 5; m = v + 8; a = 4; j = x + 16; t = c + 11; x = n + 17; y = h + 20; l = j + 17. Given that a = 4, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 11 to u, which gives u = c + 19.\n2. Substitute c = f + 11 to u, which gives u = f + 30.\n3. Substitute f = m + 5 to u, which gives u = m + 35.\n4. Substitute m = v + 8 to u, which gives u = v + 43.\n5. Substitute v = a + 13 to u, which gives u = a + 56.\n6. Substitute a = 4 to u, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 2355,
"question": "Suppose a collection of variables is related by the following definitions: n = y + 16; h = a + 6; u = t + 8; v = a + 13; c = f + 11; f = m + 5; m = v + 8; a = 4; j = x + 16; t = c + 11; x = n + 17; y = h + 20; l = j + 17. Given that a = 4, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"i": "s + 10", "y": "i + 17", "b": "y + 10", "v": "b + 1", "g": "v + 7", "j": "g + 15", "t": "s + 11", "l": "t + 1", "m": "l + 8", "u": "m + 14", "f": "u + 2", "z": "f + 3", "s": 12}, "premises": {"s": 12}, "target": "j"}, "answer": {"steps": [["g", "v + 7", "v + 22"], ["v", "b + 1", "b + 23"], ["b", "y + 10", "y + 33"], ["y", "i + 17", "i + 50"], ["i", "s + 10", "s + 60"], ["s", 12, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"s": 12}, "is_reverse": true}}
| 2,356
| 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 = u + 2; z = f + 3; m = l + 8; b = y + 10; j = g + 15; v = b + 1; l = t + 1; y = i + 17; i = s + 10; s = 12; u = m + 14; t = s + 11; g = v + 7. If s = 12, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 7 to j, which gives j = v + 22.\n2. Substitute v = b + 1 to j, which gives j = b + 23.\n3. Substitute b = y + 10 to j, which gives j = y + 33.\n4. Substitute y = i + 17 to j, which gives j = i + 50.\n5. Substitute i = s + 10 to j, which gives j = s + 60.\n6. Substitute s = 12 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 2356,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = u + 2; z = f + 3; m = l + 8; b = y + 10; j = g + 15; v = b + 1; l = t + 1; y = i + 17; i = s + 10; s = 12; u = m + 14; t = s + 11; g = v + 7. If s = 12, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"v": "x + 1", "r": "v + 20", "m": "r + 4", "a": "m + 15", "l": "a + 10", "f": "l + 11", "n": "x + 2", "k": "n + 3", "q": "k + 11", "u": "q + 11", "t": "u + 9", "o": "t + 9", "x": 16}, "premises": {"x": 16}, "target": "f"}, "answer": {"steps": [["l", "a + 10", "a + 21"], ["a", "m + 15", "m + 36"], ["m", "r + 4", "r + 40"], ["r", "v + 20", "v + 60"], ["v", "x + 1", "x + 61"], ["x", 16, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"x": 16}, "is_reverse": true}}
| 2,357
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = m + 15; n = x + 2; r = v + 20; u = q + 11; k = n + 3; l = a + 10; t = u + 9; q = k + 11; x = 16; o = t + 9; v = x + 1; m = r + 4; f = l + 11. If x = 16, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 10 to f, which gives f = a + 21.\n2. Substitute a = m + 15 to f, which gives f = m + 36.\n3. Substitute m = r + 4 to f, which gives f = r + 40.\n4. Substitute r = v + 20 to f, which gives f = v + 60.\n5. Substitute v = x + 1 to f, which gives f = x + 61.\n6. Substitute x = 16 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 2357,
"question": "Consider a system of variables where each variable is defined as follows: a = m + 15; n = x + 2; r = v + 20; u = q + 11; k = n + 3; l = a + 10; t = u + 9; q = k + 11; x = 16; o = t + 9; v = x + 1; m = r + 4; f = l + 11. If x = 16, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"j": "t + 12", "p": "j + 8", "c": "p + 14", "x": "c + 8", "r": "x + 14", "d": "r + 3", "q": "t + 11", "m": "q + 1", "i": "m + 7", "f": "i + 20", "k": "f + 17", "b": "k + 11", "t": 13}, "premises": {"t": 13}, "target": "d"}, "answer": {"steps": [["r", "x + 14", "x + 17"], ["x", "c + 8", "c + 25"], ["c", "p + 14", "p + 39"], ["p", "j + 8", "j + 47"], ["j", "t + 12", "t + 59"], ["t", 13, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"t": 13}, "is_reverse": true}}
| 2,358
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 7; t = 13; j = t + 12; k = f + 17; p = j + 8; d = r + 3; b = k + 11; q = t + 11; f = i + 20; m = q + 1; c = p + 14; x = c + 8; r = x + 14. Given that t = 13, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 14 to d, which gives d = x + 17.\n2. Substitute x = c + 8 to d, which gives d = c + 25.\n3. Substitute c = p + 14 to d, which gives d = p + 39.\n4. Substitute p = j + 8 to d, which gives d = j + 47.\n5. Substitute j = t + 12 to d, which gives d = t + 59.\n6. Substitute t = 13 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 2358,
"question": "Suppose a collection of variables is related by the following definitions: i = m + 7; t = 13; j = t + 12; k = f + 17; p = j + 8; d = r + 3; b = k + 11; q = t + 11; f = i + 20; m = q + 1; c = p + 14; x = c + 8; r = x + 14. Given that t = 13, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"p": "a + 9", "j": "p + 16", "i": "j + 19", "r": "i + 18", "f": "r + 12", "e": "f + 10", "x": "a + 14", "s": "x + 10", "m": "s + 5", "o": "m + 18", "q": "o + 16", "u": "q + 20", "a": 3}, "premises": {"a": 3}, "target": "e"}, "answer": {"steps": [["f", "r + 12", "r + 22"], ["r", "i + 18", "i + 40"], ["i", "j + 19", "j + 59"], ["j", "p + 16", "p + 75"], ["p", "a + 9", "a + 84"], ["a", 3, "87"]], "target_var_name": "e", "target_value": 87, "value_dict": {"a": 3}, "is_reverse": true}}
| 2,359
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = x + 10; m = s + 5; j = p + 16; i = j + 19; r = i + 18; q = o + 16; e = f + 10; u = q + 20; x = a + 14; f = r + 12; o = m + 18; a = 3; p = a + 9. Given that a = 3, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 12 to e, which gives e = r + 22.\n2. Substitute r = i + 18 to e, which gives e = i + 40.\n3. Substitute i = j + 19 to e, which gives e = j + 59.\n4. Substitute j = p + 16 to e, which gives e = p + 75.\n5. Substitute p = a + 9 to e, which gives e = a + 84.\n6. Substitute a = 3 to e, which gives e = 87.\n\nThus, the final answer is e = \\boxed{87}.",
"index": 2359,
"question": "Suppose a collection of variables is related by the following definitions: s = x + 10; m = s + 5; j = p + 16; i = j + 19; r = i + 18; q = o + 16; e = f + 10; u = q + 20; x = a + 14; f = r + 12; o = m + 18; a = 3; p = a + 9. Given that a = 3, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 13", "p": "o + 3", "n": "p + 8", "c": "n + 20", "m": "c + 20", "q": "m + 14", "s": "k + 9", "b": "s + 13", "f": "b + 14", "r": "f + 7", "e": "r + 19", "a": "e + 19", "k": 18}, "premises": {"k": 18}, "target": "q"}, "answer": {"steps": [["m", "c + 20", "c + 34"], ["c", "n + 20", "n + 54"], ["n", "p + 8", "p + 62"], ["p", "o + 3", "o + 65"], ["o", "k + 13", "k + 78"], ["k", 18, "96"]], "target_var_name": "q", "target_value": 96, "value_dict": {"k": 18}, "is_reverse": true}}
| 2,360
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = p + 8; q = m + 14; k = 18; c = n + 20; a = e + 19; m = c + 20; f = b + 14; p = o + 3; s = k + 9; e = r + 19; b = s + 13; o = k + 13; r = f + 7. Given that k = 18, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 20 to q, which gives q = c + 34.\n2. Substitute c = n + 20 to q, which gives q = n + 54.\n3. Substitute n = p + 8 to q, which gives q = p + 62.\n4. Substitute p = o + 3 to q, which gives q = o + 65.\n5. Substitute o = k + 13 to q, which gives q = k + 78.\n6. Substitute k = 18 to q, which gives q = 96.\n\nThus, the final answer is q = \\boxed{96}.",
"index": 2360,
"question": "Suppose a collection of variables is related by the following definitions: n = p + 8; q = m + 14; k = 18; c = n + 20; a = e + 19; m = c + 20; f = b + 14; p = o + 3; s = k + 9; e = r + 19; b = s + 13; o = k + 13; r = f + 7. Given that k = 18, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"x": "l + 17", "s": "x + 11", "i": "s + 12", "f": "i + 3", "b": "f + 1", "o": "b + 20", "q": "l + 16", "v": "q + 7", "p": "v + 7", "u": "p + 8", "m": "u + 1", "z": "m + 5", "l": 2}, "premises": {"l": 2}, "target": "o"}, "answer": {"steps": [["b", "f + 1", "f + 21"], ["f", "i + 3", "i + 24"], ["i", "s + 12", "s + 36"], ["s", "x + 11", "x + 47"], ["x", "l + 17", "l + 64"], ["l", 2, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"l": 2}, "is_reverse": true}}
| 2,361
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = s + 12; q = l + 16; m = u + 1; v = q + 7; f = i + 3; o = b + 20; l = 2; u = p + 8; x = l + 17; b = f + 1; s = x + 11; p = v + 7; z = m + 5. If l = 2, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 1 to o, which gives o = f + 21.\n2. Substitute f = i + 3 to o, which gives o = i + 24.\n3. Substitute i = s + 12 to o, which gives o = s + 36.\n4. Substitute s = x + 11 to o, which gives o = x + 47.\n5. Substitute x = l + 17 to o, which gives o = l + 64.\n6. Substitute l = 2 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 2361,
"question": "Consider a system of variables where each variable is defined as follows: i = s + 12; q = l + 16; m = u + 1; v = q + 7; f = i + 3; o = b + 20; l = 2; u = p + 8; x = l + 17; b = f + 1; s = x + 11; p = v + 7; z = m + 5. If l = 2, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 3", "p": "g + 14", "i": "p + 19", "k": "i + 9", "z": "k + 4", "w": "z + 8", "o": "a + 2", "q": "o + 17", "s": "q + 8", "x": "s + 5", "c": "x + 6", "v": "c + 4", "a": 9}, "premises": {"a": 9}, "target": "w"}, "answer": {"steps": [["z", "k + 4", "k + 12"], ["k", "i + 9", "i + 21"], ["i", "p + 19", "p + 40"], ["p", "g + 14", "g + 54"], ["g", "a + 3", "a + 57"], ["a", 9, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"a": 9}, "is_reverse": true}}
| 2,362
| 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 + 4; q = o + 17; w = z + 8; v = c + 4; k = i + 9; p = g + 14; x = s + 5; s = q + 8; c = x + 6; i = p + 19; a = 9; g = a + 3; o = a + 2. If a = 9, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 4 to w, which gives w = k + 12.\n2. Substitute k = i + 9 to w, which gives w = i + 21.\n3. Substitute i = p + 19 to w, which gives w = p + 40.\n4. Substitute p = g + 14 to w, which gives w = g + 54.\n5. Substitute g = a + 3 to w, which gives w = a + 57.\n6. Substitute a = 9 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 2362,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 4; q = o + 17; w = z + 8; v = c + 4; k = i + 9; p = g + 14; x = s + 5; s = q + 8; c = x + 6; i = p + 19; a = 9; g = a + 3; o = a + 2. If a = 9, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"u": "q + 18", "f": "u + 13", "p": "f + 17", "m": "p + 10", "y": "m + 14", "g": "y + 13", "t": "q + 1", "x": "t + 13", "d": "x + 10", "i": "d + 12", "k": "i + 15", "z": "k + 14", "q": 16}, "premises": {"q": 16}, "target": "g"}, "answer": {"steps": [["y", "m + 14", "m + 27"], ["m", "p + 10", "p + 37"], ["p", "f + 17", "f + 54"], ["f", "u + 13", "u + 67"], ["u", "q + 18", "q + 85"], ["q", 16, "101"]], "target_var_name": "g", "target_value": 101, "value_dict": {"q": 16}, "is_reverse": true}}
| 2,363
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = 16; p = f + 17; g = y + 13; d = x + 10; x = t + 13; f = u + 13; t = q + 1; i = d + 12; k = i + 15; z = k + 14; u = q + 18; y = m + 14; m = p + 10. If q = 16, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 14 to g, which gives g = m + 27.\n2. Substitute m = p + 10 to g, which gives g = p + 37.\n3. Substitute p = f + 17 to g, which gives g = f + 54.\n4. Substitute f = u + 13 to g, which gives g = u + 67.\n5. Substitute u = q + 18 to g, which gives g = q + 85.\n6. Substitute q = 16 to g, which gives g = 101.\n\nThus, the final answer is g = \\boxed{101}.",
"index": 2363,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 16; p = f + 17; g = y + 13; d = x + 10; x = t + 13; f = u + 13; t = q + 1; i = d + 12; k = i + 15; z = k + 14; u = q + 18; y = m + 14; m = p + 10. If q = 16, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"p": "j + 12", "x": "p + 8", "b": "x + 18", "h": "b + 16", "v": "h + 2", "t": "v + 1", "f": "j + 6", "o": "f + 16", "i": "o + 5", "y": "i + 17", "c": "y + 7", "s": "c + 3", "j": 5}, "premises": {"j": 5}, "target": "t"}, "answer": {"steps": [["v", "h + 2", "h + 3"], ["h", "b + 16", "b + 19"], ["b", "x + 18", "x + 37"], ["x", "p + 8", "p + 45"], ["p", "j + 12", "j + 57"], ["j", 5, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"j": 5}, "is_reverse": true}}
| 2,364
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = j + 12; o = f + 16; j = 5; b = x + 18; x = p + 8; i = o + 5; t = v + 1; y = i + 17; f = j + 6; h = b + 16; c = y + 7; s = c + 3; v = h + 2. If j = 5, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 2 to t, which gives t = h + 3.\n2. Substitute h = b + 16 to t, which gives t = b + 19.\n3. Substitute b = x + 18 to t, which gives t = x + 37.\n4. Substitute x = p + 8 to t, which gives t = p + 45.\n5. Substitute p = j + 12 to t, which gives t = j + 57.\n6. Substitute j = 5 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 2364,
"question": "Consider a system of variables where each variable is defined as follows: p = j + 12; o = f + 16; j = 5; b = x + 18; x = p + 8; i = o + 5; t = v + 1; y = i + 17; f = j + 6; h = b + 16; c = y + 7; s = c + 3; v = h + 2. If j = 5, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"r": "p + 5", "m": "r + 14", "i": "m + 8", "k": "i + 12", "z": "k + 12", "u": "z + 14", "w": "p + 17", "d": "w + 7", "o": "d + 15", "n": "o + 11", "f": "n + 4", "a": "f + 8", "p": 2}, "premises": {"p": 2}, "target": "u"}, "answer": {"steps": [["z", "k + 12", "k + 26"], ["k", "i + 12", "i + 38"], ["i", "m + 8", "m + 46"], ["m", "r + 14", "r + 60"], ["r", "p + 5", "p + 65"], ["p", 2, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"p": 2}, "is_reverse": true}}
| 2,365
| 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 = r + 14; w = p + 17; a = f + 8; f = n + 4; d = w + 7; n = o + 11; i = m + 8; o = d + 15; u = z + 14; r = p + 5; p = 2; k = i + 12; z = k + 12. If p = 2, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 12 to u, which gives u = k + 26.\n2. Substitute k = i + 12 to u, which gives u = i + 38.\n3. Substitute i = m + 8 to u, which gives u = m + 46.\n4. Substitute m = r + 14 to u, which gives u = r + 60.\n5. Substitute r = p + 5 to u, which gives u = p + 65.\n6. Substitute p = 2 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 2365,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 14; w = p + 17; a = f + 8; f = n + 4; d = w + 7; n = o + 11; i = m + 8; o = d + 15; u = z + 14; r = p + 5; p = 2; k = i + 12; z = k + 12. If p = 2, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 19", "f": "j + 17", "e": "f + 6", "g": "e + 4", "p": "g + 4", "v": "p + 18", "d": "c + 5", "r": "d + 9", "l": "r + 2", "w": "l + 11", "s": "w + 17", "h": "s + 12", "c": 1}, "premises": {"c": 1}, "target": "v"}, "answer": {"steps": [["p", "g + 4", "g + 22"], ["g", "e + 4", "e + 26"], ["e", "f + 6", "f + 32"], ["f", "j + 17", "j + 49"], ["j", "c + 19", "c + 68"], ["c", 1, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"c": 1}, "is_reverse": true}}
| 2,366
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = g + 4; v = p + 18; w = l + 11; s = w + 17; j = c + 19; d = c + 5; e = f + 6; c = 1; g = e + 4; h = s + 12; r = d + 9; f = j + 17; l = r + 2. Given that c = 1, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 4 to v, which gives v = g + 22.\n2. Substitute g = e + 4 to v, which gives v = e + 26.\n3. Substitute e = f + 6 to v, which gives v = f + 32.\n4. Substitute f = j + 17 to v, which gives v = j + 49.\n5. Substitute j = c + 19 to v, which gives v = c + 68.\n6. Substitute c = 1 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 2366,
"question": "Suppose a collection of variables is related by the following definitions: p = g + 4; v = p + 18; w = l + 11; s = w + 17; j = c + 19; d = c + 5; e = f + 6; c = 1; g = e + 4; h = s + 12; r = d + 9; f = j + 17; l = r + 2. Given that c = 1, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"r": "z + 9", "u": "r + 8", "c": "u + 11", "b": "c + 16", "m": "b + 16", "p": "m + 7", "v": "z + 18", "t": "v + 1", "i": "t + 18", "o": "i + 5", "w": "o + 11", "e": "w + 3", "z": 5}, "premises": {"z": 5}, "target": "p"}, "answer": {"steps": [["m", "b + 16", "b + 23"], ["b", "c + 16", "c + 39"], ["c", "u + 11", "u + 50"], ["u", "r + 8", "r + 58"], ["r", "z + 9", "z + 67"], ["z", 5, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"z": 5}, "is_reverse": true}}
| 2,367
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = r + 8; e = w + 3; p = m + 7; r = z + 9; i = t + 18; o = i + 5; c = u + 11; v = z + 18; t = v + 1; b = c + 16; z = 5; w = o + 11; m = b + 16. If z = 5, determine the 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 m = b + 16 to p, which gives p = b + 23.\n2. Substitute b = c + 16 to p, which gives p = c + 39.\n3. Substitute c = u + 11 to p, which gives p = u + 50.\n4. Substitute u = r + 8 to p, which gives p = r + 58.\n5. Substitute r = z + 9 to p, which gives p = z + 67.\n6. Substitute z = 5 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 2367,
"question": "Consider a system of variables where each variable is defined as follows: u = r + 8; e = w + 3; p = m + 7; r = z + 9; i = t + 18; o = i + 5; c = u + 11; v = z + 18; t = v + 1; b = c + 16; z = 5; w = o + 11; m = b + 16. If z = 5, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 2", "m": "e + 8", "b": "m + 1", "l": "b + 18", "z": "l + 8", "q": "z + 19", "j": "d + 4", "i": "j + 1", "a": "i + 10", "p": "a + 4", "u": "p + 15", "c": "u + 2", "d": 17}, "premises": {"d": 17}, "target": "q"}, "answer": {"steps": [["z", "l + 8", "l + 27"], ["l", "b + 18", "b + 45"], ["b", "m + 1", "m + 46"], ["m", "e + 8", "e + 54"], ["e", "d + 2", "d + 56"], ["d", 17, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"d": 17}, "is_reverse": true}}
| 2,368
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = l + 8; a = i + 10; e = d + 2; j = d + 4; u = p + 15; c = u + 2; d = 17; i = j + 1; m = e + 8; p = a + 4; q = z + 19; b = m + 1; l = b + 18. If d = 17, determine 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 z = l + 8 to q, which gives q = l + 27.\n2. Substitute l = b + 18 to q, which gives q = b + 45.\n3. Substitute b = m + 1 to q, which gives q = m + 46.\n4. Substitute m = e + 8 to q, which gives q = e + 54.\n5. Substitute e = d + 2 to q, which gives q = d + 56.\n6. Substitute d = 17 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 2368,
"question": "Consider a system of variables where each variable is defined as follows: z = l + 8; a = i + 10; e = d + 2; j = d + 4; u = p + 15; c = u + 2; d = 17; i = j + 1; m = e + 8; p = a + 4; q = z + 19; b = m + 1; l = b + 18. If d = 17, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"w": "p + 6", "d": "w + 5", "f": "d + 1", "i": "f + 8", "z": "i + 1", "t": "z + 7", "k": "p + 5", "j": "k + 20", "v": "j + 10", "c": "v + 15", "b": "c + 8", "o": "b + 4", "p": 1}, "premises": {"p": 1}, "target": "t"}, "answer": {"steps": [["z", "i + 1", "i + 8"], ["i", "f + 8", "f + 16"], ["f", "d + 1", "d + 17"], ["d", "w + 5", "w + 22"], ["w", "p + 6", "p + 28"], ["p", 1, "29"]], "target_var_name": "t", "target_value": 29, "value_dict": {"p": 1}, "is_reverse": true}}
| 2,369
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = f + 8; p = 1; j = k + 20; t = z + 7; z = i + 1; b = c + 8; f = d + 1; d = w + 5; w = p + 6; o = b + 4; c = v + 15; v = j + 10; k = p + 5. Given that p = 1, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 29,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 1 to t, which gives t = i + 8.\n2. Substitute i = f + 8 to t, which gives t = f + 16.\n3. Substitute f = d + 1 to t, which gives t = d + 17.\n4. Substitute d = w + 5 to t, which gives t = w + 22.\n5. Substitute w = p + 6 to t, which gives t = p + 28.\n6. Substitute p = 1 to t, which gives t = 29.\n\nThus, the final answer is t = \\boxed{29}.",
"index": 2369,
"question": "Suppose a collection of variables is related by the following definitions: i = f + 8; p = 1; j = k + 20; t = z + 7; z = i + 1; b = c + 8; f = d + 1; d = w + 5; w = p + 6; o = b + 4; c = v + 15; v = j + 10; k = p + 5. Given that p = 1, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 18", "j": "w + 7", "o": "j + 5", "z": "o + 6", "a": "z + 18", "d": "a + 1", "f": "m + 15", "v": "f + 5", "u": "v + 4", "c": "u + 7", "e": "c + 1", "h": "e + 2", "m": 16}, "premises": {"m": 16}, "target": "d"}, "answer": {"steps": [["a", "z + 18", "z + 19"], ["z", "o + 6", "o + 25"], ["o", "j + 5", "j + 30"], ["j", "w + 7", "w + 37"], ["w", "m + 18", "m + 55"], ["m", 16, "71"]], "target_var_name": "d", "target_value": 71, "value_dict": {"m": 16}, "is_reverse": true}}
| 2,370
| 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 = c + 1; h = e + 2; u = v + 4; z = o + 6; m = 16; d = a + 1; v = f + 5; f = m + 15; w = m + 18; j = w + 7; c = u + 7; a = z + 18; o = j + 5. If m = 16, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 18 to d, which gives d = z + 19.\n2. Substitute z = o + 6 to d, which gives d = o + 25.\n3. Substitute o = j + 5 to d, which gives d = j + 30.\n4. Substitute j = w + 7 to d, which gives d = w + 37.\n5. Substitute w = m + 18 to d, which gives d = m + 55.\n6. Substitute m = 16 to d, which gives d = 71.\n\nThus, the final answer is d = \\boxed{71}.",
"index": 2370,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = c + 1; h = e + 2; u = v + 4; z = o + 6; m = 16; d = a + 1; v = f + 5; f = m + 15; w = m + 18; j = w + 7; c = u + 7; a = z + 18; o = j + 5. If m = 16, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"p": "f + 9", "o": "p + 5", "l": "o + 15", "s": "l + 7", "a": "s + 10", "b": "a + 1", "u": "f + 14", "x": "u + 14", "t": "x + 13", "g": "t + 3", "y": "g + 12", "n": "y + 17", "f": 4}, "premises": {"f": 4}, "target": "b"}, "answer": {"steps": [["a", "s + 10", "s + 11"], ["s", "l + 7", "l + 18"], ["l", "o + 15", "o + 33"], ["o", "p + 5", "p + 38"], ["p", "f + 9", "f + 47"], ["f", 4, "51"]], "target_var_name": "b", "target_value": 51, "value_dict": {"f": 4}, "is_reverse": true}}
| 2,371
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = l + 7; n = y + 17; y = g + 12; g = t + 3; t = x + 13; f = 4; u = f + 14; b = a + 1; o = p + 5; p = f + 9; l = o + 15; x = u + 14; a = s + 10. If f = 4, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 10 to b, which gives b = s + 11.\n2. Substitute s = l + 7 to b, which gives b = l + 18.\n3. Substitute l = o + 15 to b, which gives b = o + 33.\n4. Substitute o = p + 5 to b, which gives b = p + 38.\n5. Substitute p = f + 9 to b, which gives b = f + 47.\n6. Substitute f = 4 to b, which gives b = 51.\n\nThus, the final answer is b = \\boxed{51}.",
"index": 2371,
"question": "Consider a system of variables where each variable is defined as follows: s = l + 7; n = y + 17; y = g + 12; g = t + 3; t = x + 13; f = 4; u = f + 14; b = a + 1; o = p + 5; p = f + 9; l = o + 15; x = u + 14; a = s + 10. If f = 4, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"q": "p + 9", "t": "q + 8", "a": "t + 17", "m": "a + 13", "o": "m + 11", "n": "o + 12", "r": "p + 10", "j": "r + 10", "c": "j + 10", "e": "c + 2", "z": "e + 16", "y": "z + 10", "p": 15}, "premises": {"p": 15}, "target": "n"}, "answer": {"steps": [["o", "m + 11", "m + 23"], ["m", "a + 13", "a + 36"], ["a", "t + 17", "t + 53"], ["t", "q + 8", "q + 61"], ["q", "p + 9", "p + 70"], ["p", 15, "85"]], "target_var_name": "n", "target_value": 85, "value_dict": {"p": 15}, "is_reverse": true}}
| 2,372
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = p + 9; e = c + 2; r = p + 10; z = e + 16; o = m + 11; t = q + 8; p = 15; a = t + 17; j = r + 10; n = o + 12; m = a + 13; y = z + 10; c = j + 10. If p = 15, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 11 to n, which gives n = m + 23.\n2. Substitute m = a + 13 to n, which gives n = a + 36.\n3. Substitute a = t + 17 to n, which gives n = t + 53.\n4. Substitute t = q + 8 to n, which gives n = q + 61.\n5. Substitute q = p + 9 to n, which gives n = p + 70.\n6. Substitute p = 15 to n, which gives n = 85.\n\nThus, the final answer is n = \\boxed{85}.",
"index": 2372,
"question": "Consider a system of variables where each variable is defined as follows: q = p + 9; e = c + 2; r = p + 10; z = e + 16; o = m + 11; t = q + 8; p = 15; a = t + 17; j = r + 10; n = o + 12; m = a + 13; y = z + 10; c = j + 10. If p = 15, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"k": "a + 6", "y": "k + 2", "f": "y + 5", "l": "f + 2", "e": "l + 19", "j": "e + 10", "i": "a + 19", "d": "i + 13", "r": "d + 19", "g": "r + 13", "p": "g + 4", "x": "p + 13", "a": 16}, "premises": {"a": 16}, "target": "j"}, "answer": {"steps": [["e", "l + 19", "l + 29"], ["l", "f + 2", "f + 31"], ["f", "y + 5", "y + 36"], ["y", "k + 2", "k + 38"], ["k", "a + 6", "a + 44"], ["a", 16, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"a": 16}, "is_reverse": true}}
| 2,373
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = k + 2; x = p + 13; d = i + 13; a = 16; l = f + 2; i = a + 19; g = r + 13; r = d + 19; f = y + 5; e = l + 19; k = a + 6; j = e + 10; p = g + 4. Given that a = 16, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 19 to j, which gives j = l + 29.\n2. Substitute l = f + 2 to j, which gives j = f + 31.\n3. Substitute f = y + 5 to j, which gives j = y + 36.\n4. Substitute y = k + 2 to j, which gives j = k + 38.\n5. Substitute k = a + 6 to j, which gives j = a + 44.\n6. Substitute a = 16 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 2373,
"question": "Suppose a collection of variables is related by the following definitions: y = k + 2; x = p + 13; d = i + 13; a = 16; l = f + 2; i = a + 19; g = r + 13; r = d + 19; f = y + 5; e = l + 19; k = a + 6; j = e + 10; p = g + 4. Given that a = 16, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"k": "d + 8", "e": "k + 19", "o": "e + 16", "i": "o + 3", "t": "i + 19", "x": "t + 19", "a": "d + 17", "h": "a + 10", "b": "h + 5", "y": "b + 16", "g": "y + 18", "l": "g + 5", "d": 5}, "premises": {"d": 5}, "target": "x"}, "answer": {"steps": [["t", "i + 19", "i + 38"], ["i", "o + 3", "o + 41"], ["o", "e + 16", "e + 57"], ["e", "k + 19", "k + 76"], ["k", "d + 8", "d + 84"], ["d", 5, "89"]], "target_var_name": "x", "target_value": 89, "value_dict": {"d": 5}, "is_reverse": true}}
| 2,374
| 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 + 19; k = d + 8; a = d + 17; y = b + 16; d = 5; l = g + 5; e = k + 19; x = t + 19; g = y + 18; o = e + 16; i = o + 3; b = h + 5; h = a + 10. If d = 5, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 19 to x, which gives x = i + 38.\n2. Substitute i = o + 3 to x, which gives x = o + 41.\n3. Substitute o = e + 16 to x, which gives x = e + 57.\n4. Substitute e = k + 19 to x, which gives x = k + 76.\n5. Substitute k = d + 8 to x, which gives x = d + 84.\n6. Substitute d = 5 to x, which gives x = 89.\n\nThus, the final answer is x = \\boxed{89}.",
"index": 2374,
"question": "Consider a system of variables where each variable is defined as follows: t = i + 19; k = d + 8; a = d + 17; y = b + 16; d = 5; l = g + 5; e = k + 19; x = t + 19; g = y + 18; o = e + 16; i = o + 3; b = h + 5; h = a + 10. If d = 5, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"y": "i + 10", "m": "y + 14", "n": "m + 4", "q": "n + 10", "s": "q + 4", "l": "s + 6", "c": "i + 8", "e": "c + 11", "d": "e + 8", "h": "d + 12", "x": "h + 8", "a": "x + 13", "i": 16}, "premises": {"i": 16}, "target": "l"}, "answer": {"steps": [["s", "q + 4", "q + 10"], ["q", "n + 10", "n + 20"], ["n", "m + 4", "m + 24"], ["m", "y + 14", "y + 38"], ["y", "i + 10", "i + 48"], ["i", 16, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"i": 16}, "is_reverse": true}}
| 2,375
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = 16; d = e + 8; m = y + 14; q = n + 10; s = q + 4; l = s + 6; e = c + 11; y = i + 10; h = d + 12; n = m + 4; a = x + 13; x = h + 8; c = i + 8. If i = 16, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 4 to l, which gives l = q + 10.\n2. Substitute q = n + 10 to l, which gives l = n + 20.\n3. Substitute n = m + 4 to l, which gives l = m + 24.\n4. Substitute m = y + 14 to l, which gives l = y + 38.\n5. Substitute y = i + 10 to l, which gives l = i + 48.\n6. Substitute i = 16 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 2375,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 16; d = e + 8; m = y + 14; q = n + 10; s = q + 4; l = s + 6; e = c + 11; y = i + 10; h = d + 12; n = m + 4; a = x + 13; x = h + 8; c = i + 8. If i = 16, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"v": "d + 16", "f": "v + 14", "n": "f + 15", "o": "n + 17", "y": "o + 10", "a": "y + 19", "h": "d + 5", "x": "h + 11", "c": "x + 16", "j": "c + 13", "g": "j + 16", "u": "g + 16", "d": 13}, "premises": {"d": 13}, "target": "a"}, "answer": {"steps": [["y", "o + 10", "o + 29"], ["o", "n + 17", "n + 46"], ["n", "f + 15", "f + 61"], ["f", "v + 14", "v + 75"], ["v", "d + 16", "d + 91"], ["d", 13, "104"]], "target_var_name": "a", "target_value": 104, "value_dict": {"d": 13}, "is_reverse": true}}
| 2,376
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = d + 5; j = c + 13; o = n + 17; c = x + 16; d = 13; f = v + 14; u = g + 16; g = j + 16; n = f + 15; v = d + 16; x = h + 11; y = o + 10; a = y + 19. If d = 13, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 10 to a, which gives a = o + 29.\n2. Substitute o = n + 17 to a, which gives a = n + 46.\n3. Substitute n = f + 15 to a, which gives a = f + 61.\n4. Substitute f = v + 14 to a, which gives a = v + 75.\n5. Substitute v = d + 16 to a, which gives a = d + 91.\n6. Substitute d = 13 to a, which gives a = 104.\n\nThus, the final answer is a = \\boxed{104}.",
"index": 2376,
"question": "Consider a system of variables where each variable is defined as follows: h = d + 5; j = c + 13; o = n + 17; c = x + 16; d = 13; f = v + 14; u = g + 16; g = j + 16; n = f + 15; v = d + 16; x = h + 11; y = o + 10; a = y + 19. If d = 13, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"k": "w + 4", "y": "k + 2", "v": "y + 4", "u": "v + 18", "s": "u + 20", "x": "s + 1", "q": "w + 6", "z": "q + 5", "o": "z + 9", "f": "o + 16", "p": "f + 3", "a": "p + 6", "w": 7}, "premises": {"w": 7}, "target": "x"}, "answer": {"steps": [["s", "u + 20", "u + 21"], ["u", "v + 18", "v + 39"], ["v", "y + 4", "y + 43"], ["y", "k + 2", "k + 45"], ["k", "w + 4", "w + 49"], ["w", 7, "56"]], "target_var_name": "x", "target_value": 56, "value_dict": {"w": 7}, "is_reverse": true}}
| 2,377
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = 7; v = y + 4; u = v + 18; o = z + 9; z = q + 5; p = f + 3; f = o + 16; x = s + 1; y = k + 2; q = w + 6; k = w + 4; a = p + 6; s = u + 20. Given that w = 7, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 20 to x, which gives x = u + 21.\n2. Substitute u = v + 18 to x, which gives x = v + 39.\n3. Substitute v = y + 4 to x, which gives x = y + 43.\n4. Substitute y = k + 2 to x, which gives x = k + 45.\n5. Substitute k = w + 4 to x, which gives x = w + 49.\n6. Substitute w = 7 to x, which gives x = 56.\n\nThus, the final answer is x = \\boxed{56}.",
"index": 2377,
"question": "Suppose a collection of variables is related by the following definitions: w = 7; v = y + 4; u = v + 18; o = z + 9; z = q + 5; p = f + 3; f = o + 16; x = s + 1; y = k + 2; q = w + 6; k = w + 4; a = p + 6; s = u + 20. Given that w = 7, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"o": "j + 14", "s": "o + 10", "n": "s + 5", "q": "n + 16", "l": "q + 13", "e": "l + 7", "k": "j + 7", "i": "k + 1", "p": "i + 12", "x": "p + 5", "b": "x + 4", "r": "b + 17", "j": 2}, "premises": {"j": 2}, "target": "e"}, "answer": {"steps": [["l", "q + 13", "q + 20"], ["q", "n + 16", "n + 36"], ["n", "s + 5", "s + 41"], ["s", "o + 10", "o + 51"], ["o", "j + 14", "j + 65"], ["j", 2, "67"]], "target_var_name": "e", "target_value": 67, "value_dict": {"j": 2}, "is_reverse": true}}
| 2,378
| 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 = j + 7; b = x + 4; x = p + 5; l = q + 13; i = k + 1; r = b + 17; q = n + 16; j = 2; n = s + 5; s = o + 10; e = l + 7; o = j + 14; p = i + 12. If j = 2, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 13 to e, which gives e = q + 20.\n2. Substitute q = n + 16 to e, which gives e = n + 36.\n3. Substitute n = s + 5 to e, which gives e = s + 41.\n4. Substitute s = o + 10 to e, which gives e = o + 51.\n5. Substitute o = j + 14 to e, which gives e = j + 65.\n6. Substitute j = 2 to e, which gives e = 67.\n\nThus, the final answer is e = \\boxed{67}.",
"index": 2378,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 7; b = x + 4; x = p + 5; l = q + 13; i = k + 1; r = b + 17; q = n + 16; j = 2; n = s + 5; s = o + 10; e = l + 7; o = j + 14; p = i + 12. If j = 2, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"j": "z + 11", "s": "j + 17", "k": "s + 15", "w": "k + 15", "n": "w + 18", "b": "n + 19", "g": "z + 9", "d": "g + 6", "t": "d + 10", "u": "t + 20", "f": "u + 4", "e": "f + 13", "z": 14}, "premises": {"z": 14}, "target": "b"}, "answer": {"steps": [["n", "w + 18", "w + 37"], ["w", "k + 15", "k + 52"], ["k", "s + 15", "s + 67"], ["s", "j + 17", "j + 84"], ["j", "z + 11", "z + 95"], ["z", 14, "109"]], "target_var_name": "b", "target_value": 109, "value_dict": {"z": 14}, "is_reverse": true}}
| 2,379
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 9; z = 14; f = u + 4; b = n + 19; u = t + 20; s = j + 17; t = d + 10; d = g + 6; w = k + 15; e = f + 13; j = z + 11; k = s + 15; n = w + 18. Given that z = 14, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 109,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 18 to b, which gives b = w + 37.\n2. Substitute w = k + 15 to b, which gives b = k + 52.\n3. Substitute k = s + 15 to b, which gives b = s + 67.\n4. Substitute s = j + 17 to b, which gives b = j + 84.\n5. Substitute j = z + 11 to b, which gives b = z + 95.\n6. Substitute z = 14 to b, which gives b = 109.\n\nThus, the final answer is b = \\boxed{109}.",
"index": 2379,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 9; z = 14; f = u + 4; b = n + 19; u = t + 20; s = j + 17; t = d + 10; d = g + 6; w = k + 15; e = f + 13; j = z + 11; k = s + 15; n = w + 18. Given that z = 14, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"q": "t + 15", "x": "q + 17", "v": "x + 11", "n": "v + 3", "l": "n + 1", "o": "l + 6", "w": "t + 15", "r": "w + 18", "c": "r + 11", "d": "c + 16", "b": "d + 19", "k": "b + 5", "t": 18}, "premises": {"t": 18}, "target": "o"}, "answer": {"steps": [["l", "n + 1", "n + 7"], ["n", "v + 3", "v + 10"], ["v", "x + 11", "x + 21"], ["x", "q + 17", "q + 38"], ["q", "t + 15", "t + 53"], ["t", 18, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"t": 18}, "is_reverse": true}}
| 2,380
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 16; k = b + 5; r = w + 18; b = d + 19; c = r + 11; q = t + 15; n = v + 3; x = q + 17; l = n + 1; w = t + 15; v = x + 11; o = l + 6; t = 18. If t = 18, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 1 to o, which gives o = n + 7.\n2. Substitute n = v + 3 to o, which gives o = v + 10.\n3. Substitute v = x + 11 to o, which gives o = x + 21.\n4. Substitute x = q + 17 to o, which gives o = q + 38.\n5. Substitute q = t + 15 to o, which gives o = t + 53.\n6. Substitute t = 18 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 2380,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 16; k = b + 5; r = w + 18; b = d + 19; c = r + 11; q = t + 15; n = v + 3; x = q + 17; l = n + 1; w = t + 15; v = x + 11; o = l + 6; t = 18. If t = 18, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"z": "x + 3", "y": "z + 18", "p": "y + 12", "g": "p + 17", "t": "g + 9", "e": "t + 7", "f": "x + 7", "d": "f + 16", "j": "d + 12", "n": "j + 4", "m": "n + 2", "r": "m + 14", "x": 1}, "premises": {"x": 1}, "target": "e"}, "answer": {"steps": [["t", "g + 9", "g + 16"], ["g", "p + 17", "p + 33"], ["p", "y + 12", "y + 45"], ["y", "z + 18", "z + 63"], ["z", "x + 3", "x + 66"], ["x", 1, "67"]], "target_var_name": "e", "target_value": 67, "value_dict": {"x": 1}, "is_reverse": true}}
| 2,381
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = m + 14; y = z + 18; d = f + 16; f = x + 7; e = t + 7; p = y + 12; n = j + 4; z = x + 3; m = n + 2; j = d + 12; t = g + 9; g = p + 17; x = 1. Given that x = 1, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 9 to e, which gives e = g + 16.\n2. Substitute g = p + 17 to e, which gives e = p + 33.\n3. Substitute p = y + 12 to e, which gives e = y + 45.\n4. Substitute y = z + 18 to e, which gives e = z + 63.\n5. Substitute z = x + 3 to e, which gives e = x + 66.\n6. Substitute x = 1 to e, which gives e = 67.\n\nThus, the final answer is e = \\boxed{67}.",
"index": 2381,
"question": "Suppose a collection of variables is related by the following definitions: r = m + 14; y = z + 18; d = f + 16; f = x + 7; e = t + 7; p = y + 12; n = j + 4; z = x + 3; m = n + 2; j = d + 12; t = g + 9; g = p + 17; x = 1. Given that x = 1, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"z": "g + 18", "b": "z + 1", "i": "b + 15", "x": "i + 5", "p": "x + 9", "c": "p + 6", "q": "g + 9", "t": "q + 12", "a": "t + 9", "k": "a + 20", "l": "k + 8", "m": "l + 13", "g": 20}, "premises": {"g": 20}, "target": "c"}, "answer": {"steps": [["p", "x + 9", "x + 15"], ["x", "i + 5", "i + 20"], ["i", "b + 15", "b + 35"], ["b", "z + 1", "z + 36"], ["z", "g + 18", "g + 54"], ["g", 20, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"g": 20}, "is_reverse": true}}
| 2,382
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = i + 5; q = g + 9; c = p + 6; p = x + 9; k = a + 20; i = b + 15; b = z + 1; g = 20; t = q + 12; m = l + 13; l = k + 8; z = g + 18; a = t + 9. If g = 20, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 9 to c, which gives c = x + 15.\n2. Substitute x = i + 5 to c, which gives c = i + 20.\n3. Substitute i = b + 15 to c, which gives c = b + 35.\n4. Substitute b = z + 1 to c, which gives c = z + 36.\n5. Substitute z = g + 18 to c, which gives c = g + 54.\n6. Substitute g = 20 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 2382,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = i + 5; q = g + 9; c = p + 6; p = x + 9; k = a + 20; i = b + 15; b = z + 1; g = 20; t = q + 12; m = l + 13; l = k + 8; z = g + 18; a = t + 9. If g = 20, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"a": "g + 17", "y": "a + 9", "k": "y + 20", "z": "k + 15", "w": "z + 16", "r": "w + 4", "s": "g + 10", "u": "s + 16", "c": "u + 5", "d": "c + 11", "m": "d + 1", "o": "m + 19", "g": 13}, "premises": {"g": 13}, "target": "r"}, "answer": {"steps": [["w", "z + 16", "z + 20"], ["z", "k + 15", "k + 35"], ["k", "y + 20", "y + 55"], ["y", "a + 9", "a + 64"], ["a", "g + 17", "g + 81"], ["g", 13, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"g": 13}, "is_reverse": true}}
| 2,383
| 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 = d + 1; z = k + 15; g = 13; u = s + 16; o = m + 19; s = g + 10; r = w + 4; w = z + 16; a = g + 17; d = c + 11; y = a + 9; c = u + 5; k = y + 20. If g = 13, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 16 to r, which gives r = z + 20.\n2. Substitute z = k + 15 to r, which gives r = k + 35.\n3. Substitute k = y + 20 to r, which gives r = y + 55.\n4. Substitute y = a + 9 to r, which gives r = a + 64.\n5. Substitute a = g + 17 to r, which gives r = g + 81.\n6. Substitute g = 13 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 2383,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = d + 1; z = k + 15; g = 13; u = s + 16; o = m + 19; s = g + 10; r = w + 4; w = z + 16; a = g + 17; d = c + 11; y = a + 9; c = u + 5; k = y + 20. If g = 13, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"r": "k + 17", "e": "r + 6", "n": "e + 13", "c": "n + 17", "g": "c + 10", "h": "g + 16", "i": "k + 4", "t": "i + 2", "y": "t + 14", "p": "y + 6", "f": "p + 9", "z": "f + 6", "k": 17}, "premises": {"k": 17}, "target": "h"}, "answer": {"steps": [["g", "c + 10", "c + 26"], ["c", "n + 17", "n + 43"], ["n", "e + 13", "e + 56"], ["e", "r + 6", "r + 62"], ["r", "k + 17", "k + 79"], ["k", 17, "96"]], "target_var_name": "h", "target_value": 96, "value_dict": {"k": 17}, "is_reverse": true}}
| 2,384
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = k + 4; p = y + 6; e = r + 6; t = i + 2; c = n + 17; r = k + 17; g = c + 10; y = t + 14; z = f + 6; h = g + 16; k = 17; f = p + 9; n = e + 13. If k = 17, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 10 to h, which gives h = c + 26.\n2. Substitute c = n + 17 to h, which gives h = n + 43.\n3. Substitute n = e + 13 to h, which gives h = e + 56.\n4. Substitute e = r + 6 to h, which gives h = r + 62.\n5. Substitute r = k + 17 to h, which gives h = k + 79.\n6. Substitute k = 17 to h, which gives h = 96.\n\nThus, the final answer is h = \\boxed{96}.",
"index": 2384,
"question": "Consider a system of variables where each variable is defined as follows: i = k + 4; p = y + 6; e = r + 6; t = i + 2; c = n + 17; r = k + 17; g = c + 10; y = t + 14; z = f + 6; h = g + 16; k = 17; f = p + 9; n = e + 13. If k = 17, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"r": "a + 8", "j": "r + 12", "d": "j + 19", "z": "d + 18", "s": "z + 1", "m": "s + 10", "q": "a + 13", "f": "q + 8", "t": "f + 1", "i": "t + 10", "e": "i + 20", "o": "e + 18", "a": 1}, "premises": {"a": 1}, "target": "m"}, "answer": {"steps": [["s", "z + 1", "z + 11"], ["z", "d + 18", "d + 29"], ["d", "j + 19", "j + 48"], ["j", "r + 12", "r + 60"], ["r", "a + 8", "a + 68"], ["a", 1, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"a": 1}, "is_reverse": true}}
| 2,385
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = q + 8; e = i + 20; m = s + 10; o = e + 18; r = a + 8; j = r + 12; s = z + 1; a = 1; d = j + 19; i = t + 10; q = a + 13; t = f + 1; z = d + 18. If a = 1, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 1 to m, which gives m = z + 11.\n2. Substitute z = d + 18 to m, which gives m = d + 29.\n3. Substitute d = j + 19 to m, which gives m = j + 48.\n4. Substitute j = r + 12 to m, which gives m = r + 60.\n5. Substitute r = a + 8 to m, which gives m = a + 68.\n6. Substitute a = 1 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 2385,
"question": "Consider a system of variables where each variable is defined as follows: f = q + 8; e = i + 20; m = s + 10; o = e + 18; r = a + 8; j = r + 12; s = z + 1; a = 1; d = j + 19; i = t + 10; q = a + 13; t = f + 1; z = d + 18. If a = 1, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"v": "i + 1", "p": "v + 12", "e": "p + 18", "c": "e + 9", "h": "c + 18", "r": "h + 16", "d": "i + 11", "y": "d + 8", "k": "y + 16", "w": "k + 20", "a": "w + 18", "z": "a + 14", "i": 16}, "premises": {"i": 16}, "target": "r"}, "answer": {"steps": [["h", "c + 18", "c + 34"], ["c", "e + 9", "e + 43"], ["e", "p + 18", "p + 61"], ["p", "v + 12", "v + 73"], ["v", "i + 1", "i + 74"], ["i", 16, "90"]], "target_var_name": "r", "target_value": 90, "value_dict": {"i": 16}, "is_reverse": true}}
| 2,386
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = e + 9; k = y + 16; r = h + 16; e = p + 18; y = d + 8; i = 16; a = w + 18; w = k + 20; p = v + 12; v = i + 1; z = a + 14; h = c + 18; d = i + 11. Given that i = 16, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 18 to r, which gives r = c + 34.\n2. Substitute c = e + 9 to r, which gives r = e + 43.\n3. Substitute e = p + 18 to r, which gives r = p + 61.\n4. Substitute p = v + 12 to r, which gives r = v + 73.\n5. Substitute v = i + 1 to r, which gives r = i + 74.\n6. Substitute i = 16 to r, which gives r = 90.\n\nThus, the final answer is r = \\boxed{90}.",
"index": 2386,
"question": "Suppose a collection of variables is related by the following definitions: c = e + 9; k = y + 16; r = h + 16; e = p + 18; y = d + 8; i = 16; a = w + 18; w = k + 20; p = v + 12; v = i + 1; z = a + 14; h = c + 18; d = i + 11. Given that i = 16, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"s": "m + 13", "b": "s + 5", "x": "b + 13", "v": "x + 10", "d": "v + 6", "q": "d + 6", "g": "m + 6", "w": "g + 9", "o": "w + 10", "f": "o + 11", "p": "f + 6", "t": "p + 7", "m": 14}, "premises": {"m": 14}, "target": "q"}, "answer": {"steps": [["d", "v + 6", "v + 12"], ["v", "x + 10", "x + 22"], ["x", "b + 13", "b + 35"], ["b", "s + 5", "s + 40"], ["s", "m + 13", "m + 53"], ["m", 14, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"m": 14}, "is_reverse": true}}
| 2,387
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = p + 7; p = f + 6; f = o + 11; b = s + 5; x = b + 13; w = g + 9; o = w + 10; d = v + 6; q = d + 6; m = 14; g = m + 6; v = x + 10; s = m + 13. If m = 14, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 6 to q, which gives q = v + 12.\n2. Substitute v = x + 10 to q, which gives q = x + 22.\n3. Substitute x = b + 13 to q, which gives q = b + 35.\n4. Substitute b = s + 5 to q, which gives q = s + 40.\n5. Substitute s = m + 13 to q, which gives q = m + 53.\n6. Substitute m = 14 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 2387,
"question": "Consider a system of variables where each variable is defined as follows: t = p + 7; p = f + 6; f = o + 11; b = s + 5; x = b + 13; w = g + 9; o = w + 10; d = v + 6; q = d + 6; m = 14; g = m + 6; v = x + 10; s = m + 13. If m = 14, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"i": "m + 6", "q": "i + 12", "e": "q + 5", "u": "e + 12", "c": "u + 14", "p": "c + 17", "b": "m + 15", "v": "b + 7", "l": "v + 2", "t": "l + 6", "z": "t + 10", "s": "z + 20", "m": 13}, "premises": {"m": 13}, "target": "p"}, "answer": {"steps": [["c", "u + 14", "u + 31"], ["u", "e + 12", "e + 43"], ["e", "q + 5", "q + 48"], ["q", "i + 12", "i + 60"], ["i", "m + 6", "m + 66"], ["m", 13, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"m": 13}, "is_reverse": true}}
| 2,388
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = e + 12; i = m + 6; m = 13; e = q + 5; b = m + 15; z = t + 10; p = c + 17; q = i + 12; l = v + 2; t = l + 6; c = u + 14; s = z + 20; v = b + 7. If m = 13, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 14 to p, which gives p = u + 31.\n2. Substitute u = e + 12 to p, which gives p = e + 43.\n3. Substitute e = q + 5 to p, which gives p = q + 48.\n4. Substitute q = i + 12 to p, which gives p = i + 60.\n5. Substitute i = m + 6 to p, which gives p = m + 66.\n6. Substitute m = 13 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 2388,
"question": "Consider a system of variables where each variable is defined as follows: u = e + 12; i = m + 6; m = 13; e = q + 5; b = m + 15; z = t + 10; p = c + 17; q = i + 12; l = v + 2; t = l + 6; c = u + 14; s = z + 20; v = b + 7. If m = 13, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 19", "k": "n + 17", "r": "k + 2", "v": "r + 15", "x": "v + 4", "s": "x + 14", "c": "q + 1", "b": "c + 19", "d": "b + 9", "w": "d + 2", "e": "w + 9", "m": "e + 1", "q": 15}, "premises": {"q": 15}, "target": "s"}, "answer": {"steps": [["x", "v + 4", "v + 18"], ["v", "r + 15", "r + 33"], ["r", "k + 2", "k + 35"], ["k", "n + 17", "n + 52"], ["n", "q + 19", "q + 71"], ["q", 15, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"q": 15}, "is_reverse": true}}
| 2,389
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = w + 9; b = c + 19; x = v + 4; c = q + 1; n = q + 19; k = n + 17; m = e + 1; q = 15; w = d + 2; v = r + 15; d = b + 9; s = x + 14; r = k + 2. If q = 15, determine 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 x = v + 4 to s, which gives s = v + 18.\n2. Substitute v = r + 15 to s, which gives s = r + 33.\n3. Substitute r = k + 2 to s, which gives s = k + 35.\n4. Substitute k = n + 17 to s, which gives s = n + 52.\n5. Substitute n = q + 19 to s, which gives s = q + 71.\n6. Substitute q = 15 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 2389,
"question": "Consider a system of variables where each variable is defined as follows: e = w + 9; b = c + 19; x = v + 4; c = q + 1; n = q + 19; k = n + 17; m = e + 1; q = 15; w = d + 2; v = r + 15; d = b + 9; s = x + 14; r = k + 2. If q = 15, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"p": "e + 1", "a": "p + 14", "l": "a + 3", "w": "l + 11", "h": "w + 3", "m": "h + 8", "z": "e + 17", "t": "z + 5", "f": "t + 8", "j": "f + 9", "n": "j + 10", "k": "n + 18", "e": 15}, "premises": {"e": 15}, "target": "m"}, "answer": {"steps": [["h", "w + 3", "w + 11"], ["w", "l + 11", "l + 22"], ["l", "a + 3", "a + 25"], ["a", "p + 14", "p + 39"], ["p", "e + 1", "e + 40"], ["e", 15, "55"]], "target_var_name": "m", "target_value": 55, "value_dict": {"e": 15}, "is_reverse": true}}
| 2,390
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 3; n = j + 10; k = n + 18; p = e + 1; f = t + 8; w = l + 11; e = 15; z = e + 17; j = f + 9; l = a + 3; t = z + 5; a = p + 14; m = h + 8. If e = 15, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 3 to m, which gives m = w + 11.\n2. Substitute w = l + 11 to m, which gives m = l + 22.\n3. Substitute l = a + 3 to m, which gives m = a + 25.\n4. Substitute a = p + 14 to m, which gives m = p + 39.\n5. Substitute p = e + 1 to m, which gives m = e + 40.\n6. Substitute e = 15 to m, which gives m = 55.\n\nThus, the final answer is m = \\boxed{55}.",
"index": 2390,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 3; n = j + 10; k = n + 18; p = e + 1; f = t + 8; w = l + 11; e = 15; z = e + 17; j = f + 9; l = a + 3; t = z + 5; a = p + 14; m = h + 8. If e = 15, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"m": "p + 17", "i": "m + 18", "f": "i + 13", "w": "f + 19", "d": "w + 14", "a": "d + 20", "v": "p + 3", "y": "v + 14", "g": "y + 1", "q": "g + 7", "r": "q + 15", "o": "r + 8", "p": 7}, "premises": {"p": 7}, "target": "a"}, "answer": {"steps": [["d", "w + 14", "w + 34"], ["w", "f + 19", "f + 53"], ["f", "i + 13", "i + 66"], ["i", "m + 18", "m + 84"], ["m", "p + 17", "p + 101"], ["p", 7, "108"]], "target_var_name": "a", "target_value": 108, "value_dict": {"p": 7}, "is_reverse": true}}
| 2,391
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = i + 13; m = p + 17; y = v + 14; r = q + 15; p = 7; q = g + 7; v = p + 3; w = f + 19; g = y + 1; d = w + 14; i = m + 18; o = r + 8; a = d + 20. If p = 7, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 108,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 14 to a, which gives a = w + 34.\n2. Substitute w = f + 19 to a, which gives a = f + 53.\n3. Substitute f = i + 13 to a, which gives a = i + 66.\n4. Substitute i = m + 18 to a, which gives a = m + 84.\n5. Substitute m = p + 17 to a, which gives a = p + 101.\n6. Substitute p = 7 to a, which gives a = 108.\n\nThus, the final answer is a = \\boxed{108}.",
"index": 2391,
"question": "Consider a system of variables where each variable is defined as follows: f = i + 13; m = p + 17; y = v + 14; r = q + 15; p = 7; q = g + 7; v = p + 3; w = f + 19; g = y + 1; d = w + 14; i = m + 18; o = r + 8; a = d + 20. If p = 7, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"x": "s + 12", "r": "x + 8", "o": "r + 20", "a": "o + 17", "u": "a + 14", "b": "u + 5", "p": "s + 17", "l": "p + 5", "c": "l + 5", "y": "c + 4", "d": "y + 12", "h": "d + 20", "s": 10}, "premises": {"s": 10}, "target": "b"}, "answer": {"steps": [["u", "a + 14", "a + 19"], ["a", "o + 17", "o + 36"], ["o", "r + 20", "r + 56"], ["r", "x + 8", "x + 64"], ["x", "s + 12", "s + 76"], ["s", 10, "86"]], "target_var_name": "b", "target_value": 86, "value_dict": {"s": 10}, "is_reverse": true}}
| 2,392
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = s + 12; h = d + 20; l = p + 5; c = l + 5; u = a + 14; d = y + 12; r = x + 8; s = 10; a = o + 17; o = r + 20; p = s + 17; b = u + 5; y = c + 4. If s = 10, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 14 to b, which gives b = a + 19.\n2. Substitute a = o + 17 to b, which gives b = o + 36.\n3. Substitute o = r + 20 to b, which gives b = r + 56.\n4. Substitute r = x + 8 to b, which gives b = x + 64.\n5. Substitute x = s + 12 to b, which gives b = s + 76.\n6. Substitute s = 10 to b, which gives b = 86.\n\nThus, the final answer is b = \\boxed{86}.",
"index": 2392,
"question": "Consider a system of variables where each variable is defined as follows: x = s + 12; h = d + 20; l = p + 5; c = l + 5; u = a + 14; d = y + 12; r = x + 8; s = 10; a = o + 17; o = r + 20; p = s + 17; b = u + 5; y = c + 4. If s = 10, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"b": "j + 1", "x": "b + 7", "d": "x + 15", "h": "d + 3", "c": "h + 17", "w": "c + 4", "a": "j + 12", "f": "a + 15", "y": "f + 6", "t": "y + 16", "n": "t + 7", "u": "n + 11", "j": 3}, "premises": {"j": 3}, "target": "w"}, "answer": {"steps": [["c", "h + 17", "h + 21"], ["h", "d + 3", "d + 24"], ["d", "x + 15", "x + 39"], ["x", "b + 7", "b + 46"], ["b", "j + 1", "j + 47"], ["j", 3, "50"]], "target_var_name": "w", "target_value": 50, "value_dict": {"j": 3}, "is_reverse": true}}
| 2,393
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = n + 11; n = t + 7; h = d + 3; d = x + 15; w = c + 4; t = y + 16; b = j + 1; a = j + 12; c = h + 17; x = b + 7; f = a + 15; y = f + 6; j = 3. Given that j = 3, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 17 to w, which gives w = h + 21.\n2. Substitute h = d + 3 to w, which gives w = d + 24.\n3. Substitute d = x + 15 to w, which gives w = x + 39.\n4. Substitute x = b + 7 to w, which gives w = b + 46.\n5. Substitute b = j + 1 to w, which gives w = j + 47.\n6. Substitute j = 3 to w, which gives w = 50.\n\nThus, the final answer is w = \\boxed{50}.",
"index": 2393,
"question": "Suppose a collection of variables is related by the following definitions: u = n + 11; n = t + 7; h = d + 3; d = x + 15; w = c + 4; t = y + 16; b = j + 1; a = j + 12; c = h + 17; x = b + 7; f = a + 15; y = f + 6; j = 3. Given that j = 3, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"p": "a + 20", "h": "p + 9", "v": "h + 2", "w": "v + 18", "u": "w + 8", "k": "u + 11", "y": "a + 4", "g": "y + 4", "l": "g + 14", "s": "l + 10", "i": "s + 15", "t": "i + 5", "a": 20}, "premises": {"a": 20}, "target": "k"}, "answer": {"steps": [["u", "w + 8", "w + 19"], ["w", "v + 18", "v + 37"], ["v", "h + 2", "h + 39"], ["h", "p + 9", "p + 48"], ["p", "a + 20", "a + 68"], ["a", 20, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"a": 20}, "is_reverse": true}}
| 2,394
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = i + 5; h = p + 9; a = 20; l = g + 14; w = v + 18; p = a + 20; s = l + 10; i = s + 15; g = y + 4; v = h + 2; k = u + 11; u = w + 8; y = a + 4. Given that a = 20, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 8 to k, which gives k = w + 19.\n2. Substitute w = v + 18 to k, which gives k = v + 37.\n3. Substitute v = h + 2 to k, which gives k = h + 39.\n4. Substitute h = p + 9 to k, which gives k = p + 48.\n5. Substitute p = a + 20 to k, which gives k = a + 68.\n6. Substitute a = 20 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 2394,
"question": "Suppose a collection of variables is related by the following definitions: t = i + 5; h = p + 9; a = 20; l = g + 14; w = v + 18; p = a + 20; s = l + 10; i = s + 15; g = y + 4; v = h + 2; k = u + 11; u = w + 8; y = a + 4. Given that a = 20, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 5", "p": "h + 14", "v": "p + 15", "z": "v + 8", "f": "z + 14", "o": "f + 8", "n": "t + 2", "w": "n + 13", "a": "w + 11", "q": "a + 10", "r": "q + 1", "y": "r + 11", "t": 11}, "premises": {"t": 11}, "target": "o"}, "answer": {"steps": [["f", "z + 14", "z + 22"], ["z", "v + 8", "v + 30"], ["v", "p + 15", "p + 45"], ["p", "h + 14", "h + 59"], ["h", "t + 5", "t + 64"], ["t", 11, "75"]], "target_var_name": "o", "target_value": 75, "value_dict": {"t": 11}, "is_reverse": true}}
| 2,395
| 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 + 2; v = p + 15; a = w + 11; t = 11; r = q + 1; q = a + 10; o = f + 8; w = n + 13; z = v + 8; y = r + 11; f = z + 14; h = t + 5; p = h + 14. If t = 11, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 14 to o, which gives o = z + 22.\n2. Substitute z = v + 8 to o, which gives o = v + 30.\n3. Substitute v = p + 15 to o, which gives o = p + 45.\n4. Substitute p = h + 14 to o, which gives o = h + 59.\n5. Substitute h = t + 5 to o, which gives o = t + 64.\n6. Substitute t = 11 to o, which gives o = 75.\n\nThus, the final answer is o = \\boxed{75}.",
"index": 2395,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 2; v = p + 15; a = w + 11; t = 11; r = q + 1; q = a + 10; o = f + 8; w = n + 13; z = v + 8; y = r + 11; f = z + 14; h = t + 5; p = h + 14. If t = 11, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"o": "e + 8", "i": "o + 18", "q": "i + 11", "h": "q + 7", "s": "h + 16", "w": "s + 11", "d": "e + 5", "y": "d + 13", "c": "y + 2", "l": "c + 13", "f": "l + 16", "z": "f + 18", "e": 8}, "premises": {"e": 8}, "target": "w"}, "answer": {"steps": [["s", "h + 16", "h + 27"], ["h", "q + 7", "q + 34"], ["q", "i + 11", "i + 45"], ["i", "o + 18", "o + 63"], ["o", "e + 8", "e + 71"], ["e", 8, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"e": 8}, "is_reverse": true}}
| 2,396
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = q + 7; d = e + 5; w = s + 11; e = 8; y = d + 13; c = y + 2; s = h + 16; f = l + 16; i = o + 18; l = c + 13; q = i + 11; o = e + 8; z = f + 18. Given that e = 8, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 16 to w, which gives w = h + 27.\n2. Substitute h = q + 7 to w, which gives w = q + 34.\n3. Substitute q = i + 11 to w, which gives w = i + 45.\n4. Substitute i = o + 18 to w, which gives w = o + 63.\n5. Substitute o = e + 8 to w, which gives w = e + 71.\n6. Substitute e = 8 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 2396,
"question": "Suppose a collection of variables is related by the following definitions: h = q + 7; d = e + 5; w = s + 11; e = 8; y = d + 13; c = y + 2; s = h + 16; f = l + 16; i = o + 18; l = c + 13; q = i + 11; o = e + 8; z = f + 18. Given that e = 8, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"m": "y + 1", "s": "m + 4", "p": "s + 14", "k": "p + 2", "o": "k + 15", "i": "o + 3", "a": "y + 16", "n": "a + 9", "b": "n + 4", "f": "b + 14", "l": "f + 10", "x": "l + 8", "y": 1}, "premises": {"y": 1}, "target": "i"}, "answer": {"steps": [["o", "k + 15", "k + 18"], ["k", "p + 2", "p + 20"], ["p", "s + 14", "s + 34"], ["s", "m + 4", "m + 38"], ["m", "y + 1", "y + 39"], ["y", 1, "40"]], "target_var_name": "i", "target_value": 40, "value_dict": {"y": 1}, "is_reverse": true}}
| 2,397
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = k + 15; x = l + 8; k = p + 2; a = y + 16; s = m + 4; p = s + 14; n = a + 9; b = n + 4; f = b + 14; l = f + 10; y = 1; i = o + 3; m = y + 1. Given that y = 1, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 15 to i, which gives i = k + 18.\n2. Substitute k = p + 2 to i, which gives i = p + 20.\n3. Substitute p = s + 14 to i, which gives i = s + 34.\n4. Substitute s = m + 4 to i, which gives i = m + 38.\n5. Substitute m = y + 1 to i, which gives i = y + 39.\n6. Substitute y = 1 to i, which gives i = 40.\n\nThus, the final answer is i = \\boxed{40}.",
"index": 2397,
"question": "Suppose a collection of variables is related by the following definitions: o = k + 15; x = l + 8; k = p + 2; a = y + 16; s = m + 4; p = s + 14; n = a + 9; b = n + 4; f = b + 14; l = f + 10; y = 1; i = o + 3; m = y + 1. Given that y = 1, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"s": "c + 16", "z": "s + 6", "g": "z + 13", "a": "g + 20", "y": "a + 2", "i": "y + 12", "k": "c + 16", "l": "k + 7", "f": "l + 20", "x": "f + 8", "h": "x + 3", "q": "h + 14", "c": 6}, "premises": {"c": 6}, "target": "i"}, "answer": {"steps": [["y", "a + 2", "a + 14"], ["a", "g + 20", "g + 34"], ["g", "z + 13", "z + 47"], ["z", "s + 6", "s + 53"], ["s", "c + 16", "c + 69"], ["c", 6, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"c": 6}, "is_reverse": true}}
| 2,398
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = l + 20; q = h + 14; k = c + 16; h = x + 3; a = g + 20; l = k + 7; z = s + 6; x = f + 8; s = c + 16; c = 6; i = y + 12; g = z + 13; y = a + 2. If c = 6, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 2 to i, which gives i = a + 14.\n2. Substitute a = g + 20 to i, which gives i = g + 34.\n3. Substitute g = z + 13 to i, which gives i = z + 47.\n4. Substitute z = s + 6 to i, which gives i = s + 53.\n5. Substitute s = c + 16 to i, which gives i = c + 69.\n6. Substitute c = 6 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 2398,
"question": "Consider a system of variables where each variable is defined as follows: f = l + 20; q = h + 14; k = c + 16; h = x + 3; a = g + 20; l = k + 7; z = s + 6; x = f + 8; s = c + 16; c = 6; i = y + 12; g = z + 13; y = a + 2. If c = 6, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 9", "b": "e + 3", "o": "b + 16", "z": "o + 18", "w": "z + 16", "l": "w + 7", "k": "d + 8", "u": "k + 16", "n": "u + 4", "i": "n + 11", "g": "i + 15", "j": "g + 14", "d": 6}, "premises": {"d": 6}, "target": "l"}, "answer": {"steps": [["w", "z + 16", "z + 23"], ["z", "o + 18", "o + 41"], ["o", "b + 16", "b + 57"], ["b", "e + 3", "e + 60"], ["e", "d + 9", "d + 69"], ["d", 6, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"d": 6}, "is_reverse": true}}
| 2,399
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = d + 8; w = z + 16; i = n + 11; e = d + 9; o = b + 16; z = o + 18; g = i + 15; l = w + 7; u = k + 16; n = u + 4; d = 6; b = e + 3; j = g + 14. Given that d = 6, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 16 to l, which gives l = z + 23.\n2. Substitute z = o + 18 to l, which gives l = o + 41.\n3. Substitute o = b + 16 to l, which gives l = b + 57.\n4. Substitute b = e + 3 to l, which gives l = e + 60.\n5. Substitute e = d + 9 to l, which gives l = d + 69.\n6. Substitute d = 6 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 2399,
"question": "Suppose a collection of variables is related by the following definitions: k = d + 8; w = z + 16; i = n + 11; e = d + 9; o = b + 16; z = o + 18; g = i + 15; l = w + 7; u = k + 16; n = u + 4; d = 6; b = e + 3; j = g + 14. Given that d = 6, find the value of l.",
"split": "train"
}
|
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