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25.6k
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int64 0
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stringclasses 1
value | data_source
stringclasses 1
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listlengths 1
1
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stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"s": "z + 1", "g": "s + 16", "o": "g + 8", "k": "o + 17", "i": "k + 3", "h": "i + 10", "f": "z + 2", "e": "f + 17", "d": "e + 19", "r": "d + 15", "v": "r + 9", "q": "v + 12", "z": 18}, "premises": {"z": 18}, "target": "h"}, "answer": {"steps": [["i", "k + 3", "k + 13"], ["k", "o + 17", "o + 30"], ["o", "g + 8", "g + 38"], ["g", "s + 16", "s + 54"], ["s", "z + 1", "z + 55"], ["z", 18, "73"]], "target_var_name": "h", "target_value": 73, "value_dict": {"z": 18}, "is_reverse": true}}
| 5,000
| 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 = o + 17; i = k + 3; f = z + 2; s = z + 1; d = e + 19; g = s + 16; z = 18; o = g + 8; q = v + 12; r = d + 15; e = f + 17; h = i + 10; v = r + 9. If z = 18, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 3 to h, which gives h = k + 13.\n2. Substitute k = o + 17 to h, which gives h = o + 30.\n3. Substitute o = g + 8 to h, which gives h = g + 38.\n4. Substitute g = s + 16 to h, which gives h = s + 54.\n5. Substitute s = z + 1 to h, which gives h = z + 55.\n6. Substitute z = 18 to h, which gives h = 73.\n\nThus, the final answer is h = \\boxed{73}.",
"index": 5000,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 17; i = k + 3; f = z + 2; s = z + 1; d = e + 19; g = s + 16; z = 18; o = g + 8; q = v + 12; r = d + 15; e = f + 17; h = i + 10; v = r + 9. If z = 18, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"x": "t + 18", "m": "x + 3", "h": "m + 10", "v": "h + 8", "o": "v + 16", "e": "o + 14", "z": "t + 7", "g": "z + 10", "a": "g + 19", "p": "a + 10", "d": "p + 17", "y": "d + 8", "t": 19}, "premises": {"t": 19}, "target": "e"}, "answer": {"steps": [["o", "v + 16", "v + 30"], ["v", "h + 8", "h + 38"], ["h", "m + 10", "m + 48"], ["m", "x + 3", "x + 51"], ["x", "t + 18", "t + 69"], ["t", 19, "88"]], "target_var_name": "e", "target_value": 88, "value_dict": {"t": 19}, "is_reverse": true}}
| 5,001
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = o + 14; z = t + 7; m = x + 3; x = t + 18; h = m + 10; p = a + 10; g = z + 10; o = v + 16; v = h + 8; y = d + 8; d = p + 17; t = 19; a = g + 19. If t = 19, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 16 to e, which gives e = v + 30.\n2. Substitute v = h + 8 to e, which gives e = h + 38.\n3. Substitute h = m + 10 to e, which gives e = m + 48.\n4. Substitute m = x + 3 to e, which gives e = x + 51.\n5. Substitute x = t + 18 to e, which gives e = t + 69.\n6. Substitute t = 19 to e, which gives e = 88.\n\nThus, the final answer is e = \\boxed{88}.",
"index": 5001,
"question": "Consider a system of variables where each variable is defined as follows: e = o + 14; z = t + 7; m = x + 3; x = t + 18; h = m + 10; p = a + 10; g = z + 10; o = v + 16; v = h + 8; y = d + 8; d = p + 17; t = 19; a = g + 19. If t = 19, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"f": "t + 9", "w": "f + 1", "k": "w + 5", "c": "k + 1", "u": "c + 14", "m": "u + 13", "p": "t + 2", "y": "p + 2", "a": "y + 5", "r": "a + 16", "i": "r + 16", "z": "i + 19", "t": 2}, "premises": {"t": 2}, "target": "m"}, "answer": {"steps": [["u", "c + 14", "c + 27"], ["c", "k + 1", "k + 28"], ["k", "w + 5", "w + 33"], ["w", "f + 1", "f + 34"], ["f", "t + 9", "t + 43"], ["t", 2, "45"]], "target_var_name": "m", "target_value": 45, "value_dict": {"t": 2}, "is_reverse": true}}
| 5,002
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = i + 19; a = y + 5; r = a + 16; m = u + 13; u = c + 14; w = f + 1; f = t + 9; p = t + 2; y = p + 2; c = k + 1; t = 2; k = w + 5; i = r + 16. If t = 2, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 14 to m, which gives m = c + 27.\n2. Substitute c = k + 1 to m, which gives m = k + 28.\n3. Substitute k = w + 5 to m, which gives m = w + 33.\n4. Substitute w = f + 1 to m, which gives m = f + 34.\n5. Substitute f = t + 9 to m, which gives m = t + 43.\n6. Substitute t = 2 to m, which gives m = 45.\n\nThus, the final answer is m = \\boxed{45}.",
"index": 5002,
"question": "Consider a system of variables where each variable is defined as follows: z = i + 19; a = y + 5; r = a + 16; m = u + 13; u = c + 14; w = f + 1; f = t + 9; p = t + 2; y = p + 2; c = k + 1; t = 2; k = w + 5; i = r + 16. If t = 2, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"x": "u + 5", "s": "x + 11", "l": "s + 19", "b": "l + 11", "r": "b + 6", "t": "r + 14", "e": "u + 13", "v": "e + 20", "z": "v + 11", "y": "z + 4", "p": "y + 15", "o": "p + 14", "u": 11}, "premises": {"u": 11}, "target": "t"}, "answer": {"steps": [["r", "b + 6", "b + 20"], ["b", "l + 11", "l + 31"], ["l", "s + 19", "s + 50"], ["s", "x + 11", "x + 61"], ["x", "u + 5", "u + 66"], ["u", 11, "77"]], "target_var_name": "t", "target_value": 77, "value_dict": {"u": 11}, "is_reverse": true}}
| 5,003
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 14; u = 11; y = z + 4; r = b + 6; v = e + 20; s = x + 11; b = l + 11; z = v + 11; l = s + 19; x = u + 5; t = r + 14; e = u + 13; p = y + 15. If u = 11, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 6 to t, which gives t = b + 20.\n2. Substitute b = l + 11 to t, which gives t = l + 31.\n3. Substitute l = s + 19 to t, which gives t = s + 50.\n4. Substitute s = x + 11 to t, which gives t = x + 61.\n5. Substitute x = u + 5 to t, which gives t = u + 66.\n6. Substitute u = 11 to t, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 5003,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 14; u = 11; y = z + 4; r = b + 6; v = e + 20; s = x + 11; b = l + 11; z = v + 11; l = s + 19; x = u + 5; t = r + 14; e = u + 13; p = y + 15. If u = 11, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"q": "j + 14", "w": "q + 18", "f": "w + 3", "a": "f + 20", "v": "a + 16", "c": "v + 7", "n": "j + 11", "i": "n + 1", "x": "i + 2", "r": "x + 2", "y": "r + 14", "z": "y + 19", "j": 7}, "premises": {"j": 7}, "target": "c"}, "answer": {"steps": [["v", "a + 16", "a + 23"], ["a", "f + 20", "f + 43"], ["f", "w + 3", "w + 46"], ["w", "q + 18", "q + 64"], ["q", "j + 14", "j + 78"], ["j", 7, "85"]], "target_var_name": "c", "target_value": 85, "value_dict": {"j": 7}, "is_reverse": true}}
| 5,004
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = w + 3; x = i + 2; c = v + 7; q = j + 14; i = n + 1; j = 7; w = q + 18; n = j + 11; r = x + 2; y = r + 14; a = f + 20; v = a + 16; z = y + 19. Given that j = 7, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 16 to c, which gives c = a + 23.\n2. Substitute a = f + 20 to c, which gives c = f + 43.\n3. Substitute f = w + 3 to c, which gives c = w + 46.\n4. Substitute w = q + 18 to c, which gives c = q + 64.\n5. Substitute q = j + 14 to c, which gives c = j + 78.\n6. Substitute j = 7 to c, which gives c = 85.\n\nThus, the final answer is c = \\boxed{85}.",
"index": 5004,
"question": "Suppose a collection of variables is related by the following definitions: f = w + 3; x = i + 2; c = v + 7; q = j + 14; i = n + 1; j = 7; w = q + 18; n = j + 11; r = x + 2; y = r + 14; a = f + 20; v = a + 16; z = y + 19. Given that j = 7, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"i": "x + 4", "l": "i + 15", "q": "l + 9", "k": "q + 4", "b": "k + 18", "f": "b + 15", "n": "x + 3", "t": "n + 7", "c": "t + 11", "o": "c + 13", "z": "o + 8", "v": "z + 8", "x": 13}, "premises": {"x": 13}, "target": "f"}, "answer": {"steps": [["b", "k + 18", "k + 33"], ["k", "q + 4", "q + 37"], ["q", "l + 9", "l + 46"], ["l", "i + 15", "i + 61"], ["i", "x + 4", "x + 65"], ["x", 13, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"x": 13}, "is_reverse": true}}
| 5,005
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 7; c = t + 11; l = i + 15; z = o + 8; n = x + 3; x = 13; v = z + 8; i = x + 4; b = k + 18; o = c + 13; q = l + 9; f = b + 15; k = q + 4. If x = 13, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 18 to f, which gives f = k + 33.\n2. Substitute k = q + 4 to f, which gives f = q + 37.\n3. Substitute q = l + 9 to f, which gives f = l + 46.\n4. Substitute l = i + 15 to f, which gives f = i + 61.\n5. Substitute i = x + 4 to f, which gives f = x + 65.\n6. Substitute x = 13 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 5005,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 7; c = t + 11; l = i + 15; z = o + 8; n = x + 3; x = 13; v = z + 8; i = x + 4; b = k + 18; o = c + 13; q = l + 9; f = b + 15; k = q + 4. If x = 13, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"s": "g + 5", "n": "s + 13", "x": "n + 10", "m": "x + 12", "a": "m + 3", "c": "a + 4", "p": "g + 3", "o": "p + 3", "d": "o + 3", "r": "d + 16", "l": "r + 4", "y": "l + 20", "g": 15}, "premises": {"g": 15}, "target": "c"}, "answer": {"steps": [["a", "m + 3", "m + 7"], ["m", "x + 12", "x + 19"], ["x", "n + 10", "n + 29"], ["n", "s + 13", "s + 42"], ["s", "g + 5", "g + 47"], ["g", 15, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"g": 15}, "is_reverse": true}}
| 5,006
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 4; d = o + 3; p = g + 3; y = l + 20; n = s + 13; a = m + 3; o = p + 3; x = n + 10; r = d + 16; g = 15; m = x + 12; s = g + 5; l = r + 4. If g = 15, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 3 to c, which gives c = m + 7.\n2. Substitute m = x + 12 to c, which gives c = x + 19.\n3. Substitute x = n + 10 to c, which gives c = n + 29.\n4. Substitute n = s + 13 to c, which gives c = s + 42.\n5. Substitute s = g + 5 to c, which gives c = g + 47.\n6. Substitute g = 15 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 5006,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 4; d = o + 3; p = g + 3; y = l + 20; n = s + 13; a = m + 3; o = p + 3; x = n + 10; r = d + 16; g = 15; m = x + 12; s = g + 5; l = r + 4. If g = 15, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"y": "p + 17", "l": "y + 5", "g": "l + 14", "w": "g + 16", "o": "w + 20", "v": "o + 7", "q": "p + 4", "n": "q + 4", "a": "n + 6", "j": "a + 2", "c": "j + 15", "i": "c + 15", "p": 15}, "premises": {"p": 15}, "target": "v"}, "answer": {"steps": [["o", "w + 20", "w + 27"], ["w", "g + 16", "g + 43"], ["g", "l + 14", "l + 57"], ["l", "y + 5", "y + 62"], ["y", "p + 17", "p + 79"], ["p", 15, "94"]], "target_var_name": "v", "target_value": 94, "value_dict": {"p": 15}, "is_reverse": true}}
| 5,007
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = 15; y = p + 17; n = q + 4; g = l + 14; c = j + 15; o = w + 20; j = a + 2; q = p + 4; a = n + 6; i = c + 15; v = o + 7; w = g + 16; l = y + 5. Given that p = 15, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 20 to v, which gives v = w + 27.\n2. Substitute w = g + 16 to v, which gives v = g + 43.\n3. Substitute g = l + 14 to v, which gives v = l + 57.\n4. Substitute l = y + 5 to v, which gives v = y + 62.\n5. Substitute y = p + 17 to v, which gives v = p + 79.\n6. Substitute p = 15 to v, which gives v = 94.\n\nThus, the final answer is v = \\boxed{94}.",
"index": 5007,
"question": "Suppose a collection of variables is related by the following definitions: p = 15; y = p + 17; n = q + 4; g = l + 14; c = j + 15; o = w + 20; j = a + 2; q = p + 4; a = n + 6; i = c + 15; v = o + 7; w = g + 16; l = y + 5. Given that p = 15, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"y": "i + 13", "v": "y + 9", "j": "v + 9", "d": "j + 2", "b": "d + 19", "h": "b + 11", "f": "i + 8", "z": "f + 1", "r": "z + 4", "q": "r + 15", "u": "q + 19", "n": "u + 13", "i": 8}, "premises": {"i": 8}, "target": "h"}, "answer": {"steps": [["b", "d + 19", "d + 30"], ["d", "j + 2", "j + 32"], ["j", "v + 9", "v + 41"], ["v", "y + 9", "y + 50"], ["y", "i + 13", "i + 63"], ["i", 8, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"i": 8}, "is_reverse": true}}
| 5,008
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = j + 2; y = i + 13; h = b + 11; b = d + 19; r = z + 4; j = v + 9; f = i + 8; q = r + 15; u = q + 19; v = y + 9; z = f + 1; i = 8; n = u + 13. Given that i = 8, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = d + 19 to h, which gives h = d + 30.\n2. Substitute d = j + 2 to h, which gives h = j + 32.\n3. Substitute j = v + 9 to h, which gives h = v + 41.\n4. Substitute v = y + 9 to h, which gives h = y + 50.\n5. Substitute y = i + 13 to h, which gives h = i + 63.\n6. Substitute i = 8 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 5008,
"question": "Suppose a collection of variables is related by the following definitions: d = j + 2; y = i + 13; h = b + 11; b = d + 19; r = z + 4; j = v + 9; f = i + 8; q = r + 15; u = q + 19; v = y + 9; z = f + 1; i = 8; n = u + 13. Given that i = 8, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"e": "g + 9", "r": "e + 9", "b": "r + 8", "a": "b + 6", "j": "a + 8", "x": "j + 6", "y": "g + 13", "w": "y + 16", "f": "w + 16", "v": "f + 16", "s": "v + 6", "k": "s + 4", "g": 18}, "premises": {"g": 18}, "target": "x"}, "answer": {"steps": [["j", "a + 8", "a + 14"], ["a", "b + 6", "b + 20"], ["b", "r + 8", "r + 28"], ["r", "e + 9", "e + 37"], ["e", "g + 9", "g + 46"], ["g", 18, "64"]], "target_var_name": "x", "target_value": 64, "value_dict": {"g": 18}, "is_reverse": true}}
| 5,009
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = j + 6; s = v + 6; b = r + 8; r = e + 9; e = g + 9; j = a + 8; v = f + 16; y = g + 13; f = w + 16; w = y + 16; k = s + 4; a = b + 6; g = 18. Given that g = 18, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 8 to x, which gives x = a + 14.\n2. Substitute a = b + 6 to x, which gives x = b + 20.\n3. Substitute b = r + 8 to x, which gives x = r + 28.\n4. Substitute r = e + 9 to x, which gives x = e + 37.\n5. Substitute e = g + 9 to x, which gives x = g + 46.\n6. Substitute g = 18 to x, which gives x = 64.\n\nThus, the final answer is x = \\boxed{64}.",
"index": 5009,
"question": "Suppose a collection of variables is related by the following definitions: x = j + 6; s = v + 6; b = r + 8; r = e + 9; e = g + 9; j = a + 8; v = f + 16; y = g + 13; f = w + 16; w = y + 16; k = s + 4; a = b + 6; g = 18. Given that g = 18, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"m": "i + 3", "y": "m + 6", "x": "y + 3", "u": "x + 17", "t": "u + 10", "d": "t + 7", "h": "i + 14", "e": "h + 8", "r": "e + 19", "w": "r + 20", "o": "w + 14", "v": "o + 5", "i": 16}, "premises": {"i": 16}, "target": "d"}, "answer": {"steps": [["t", "u + 10", "u + 17"], ["u", "x + 17", "x + 34"], ["x", "y + 3", "y + 37"], ["y", "m + 6", "m + 43"], ["m", "i + 3", "i + 46"], ["i", 16, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"i": 16}, "is_reverse": true}}
| 5,010
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = o + 5; e = h + 8; i = 16; x = y + 3; w = r + 20; h = i + 14; d = t + 7; m = i + 3; u = x + 17; r = e + 19; o = w + 14; t = u + 10; y = m + 6. If i = 16, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 10 to d, which gives d = u + 17.\n2. Substitute u = x + 17 to d, which gives d = x + 34.\n3. Substitute x = y + 3 to d, which gives d = y + 37.\n4. Substitute y = m + 6 to d, which gives d = m + 43.\n5. Substitute m = i + 3 to d, which gives d = i + 46.\n6. Substitute i = 16 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 5010,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = o + 5; e = h + 8; i = 16; x = y + 3; w = r + 20; h = i + 14; d = t + 7; m = i + 3; u = x + 17; r = e + 19; o = w + 14; t = u + 10; y = m + 6. If i = 16, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"x": "y + 1", "a": "x + 9", "j": "a + 4", "d": "j + 10", "f": "d + 6", "r": "f + 8", "g": "y + 7", "e": "g + 4", "h": "e + 19", "s": "h + 16", "t": "s + 15", "q": "t + 9", "y": 18}, "premises": {"y": 18}, "target": "r"}, "answer": {"steps": [["f", "d + 6", "d + 14"], ["d", "j + 10", "j + 24"], ["j", "a + 4", "a + 28"], ["a", "x + 9", "x + 37"], ["x", "y + 1", "y + 38"], ["y", 18, "56"]], "target_var_name": "r", "target_value": 56, "value_dict": {"y": 18}, "is_reverse": true}}
| 5,011
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = f + 8; h = e + 19; y = 18; s = h + 16; d = j + 10; q = t + 9; e = g + 4; j = a + 4; t = s + 15; f = d + 6; a = x + 9; g = y + 7; x = y + 1. If y = 18, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 6 to r, which gives r = d + 14.\n2. Substitute d = j + 10 to r, which gives r = j + 24.\n3. Substitute j = a + 4 to r, which gives r = a + 28.\n4. Substitute a = x + 9 to r, which gives r = x + 37.\n5. Substitute x = y + 1 to r, which gives r = y + 38.\n6. Substitute y = 18 to r, which gives r = 56.\n\nThus, the final answer is r = \\boxed{56}.",
"index": 5011,
"question": "Consider a system of variables where each variable is defined as follows: r = f + 8; h = e + 19; y = 18; s = h + 16; d = j + 10; q = t + 9; e = g + 4; j = a + 4; t = s + 15; f = d + 6; a = x + 9; g = y + 7; x = y + 1. If y = 18, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"n": "k + 3", "w": "n + 6", "d": "w + 7", "j": "d + 5", "i": "j + 2", "x": "i + 20", "z": "k + 9", "o": "z + 5", "v": "o + 7", "c": "v + 20", "e": "c + 14", "s": "e + 1", "k": 19}, "premises": {"k": 19}, "target": "x"}, "answer": {"steps": [["i", "j + 2", "j + 22"], ["j", "d + 5", "d + 27"], ["d", "w + 7", "w + 34"], ["w", "n + 6", "n + 40"], ["n", "k + 3", "k + 43"], ["k", 19, "62"]], "target_var_name": "x", "target_value": 62, "value_dict": {"k": 19}, "is_reverse": true}}
| 5,012
| 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 = 19; d = w + 7; z = k + 9; s = e + 1; o = z + 5; j = d + 5; i = j + 2; e = c + 14; x = i + 20; n = k + 3; v = o + 7; w = n + 6; c = v + 20. If k = 19, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 2 to x, which gives x = j + 22.\n2. Substitute j = d + 5 to x, which gives x = d + 27.\n3. Substitute d = w + 7 to x, which gives x = w + 34.\n4. Substitute w = n + 6 to x, which gives x = n + 40.\n5. Substitute n = k + 3 to x, which gives x = k + 43.\n6. Substitute k = 19 to x, which gives x = 62.\n\nThus, the final answer is x = \\boxed{62}.",
"index": 5012,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = 19; d = w + 7; z = k + 9; s = e + 1; o = z + 5; j = d + 5; i = j + 2; e = c + 14; x = i + 20; n = k + 3; v = o + 7; w = n + 6; c = v + 20. If k = 19, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"e": "z + 18", "g": "e + 17", "c": "g + 13", "f": "c + 9", "i": "f + 12", "r": "i + 9", "o": "z + 8", "h": "o + 15", "a": "h + 4", "p": "a + 9", "s": "p + 16", "u": "s + 4", "z": 19}, "premises": {"z": 19}, "target": "r"}, "answer": {"steps": [["i", "f + 12", "f + 21"], ["f", "c + 9", "c + 30"], ["c", "g + 13", "g + 43"], ["g", "e + 17", "e + 60"], ["e", "z + 18", "z + 78"], ["z", 19, "97"]], "target_var_name": "r", "target_value": 97, "value_dict": {"z": 19}, "is_reverse": true}}
| 5,013
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = o + 15; s = p + 16; e = z + 18; a = h + 4; z = 19; o = z + 8; r = i + 9; p = a + 9; f = c + 9; g = e + 17; c = g + 13; u = s + 4; i = f + 12. If z = 19, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 12 to r, which gives r = f + 21.\n2. Substitute f = c + 9 to r, which gives r = c + 30.\n3. Substitute c = g + 13 to r, which gives r = g + 43.\n4. Substitute g = e + 17 to r, which gives r = e + 60.\n5. Substitute e = z + 18 to r, which gives r = z + 78.\n6. Substitute z = 19 to r, which gives r = 97.\n\nThus, the final answer is r = \\boxed{97}.",
"index": 5013,
"question": "Consider a system of variables where each variable is defined as follows: h = o + 15; s = p + 16; e = z + 18; a = h + 4; z = 19; o = z + 8; r = i + 9; p = a + 9; f = c + 9; g = e + 17; c = g + 13; u = s + 4; i = f + 12. If z = 19, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 14", "l": "h + 1", "z": "l + 4", "w": "z + 20", "m": "w + 11", "t": "m + 6", "o": "c + 4", "i": "o + 11", "p": "i + 18", "a": "p + 1", "j": "a + 4", "b": "j + 8", "c": 9}, "premises": {"c": 9}, "target": "t"}, "answer": {"steps": [["m", "w + 11", "w + 17"], ["w", "z + 20", "z + 37"], ["z", "l + 4", "l + 41"], ["l", "h + 1", "h + 42"], ["h", "c + 14", "c + 56"], ["c", 9, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"c": 9}, "is_reverse": true}}
| 5,014
| 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 = p + 1; l = h + 1; i = o + 11; c = 9; m = w + 11; o = c + 4; h = c + 14; w = z + 20; z = l + 4; j = a + 4; b = j + 8; t = m + 6; p = i + 18. If c = 9, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 11 to t, which gives t = w + 17.\n2. Substitute w = z + 20 to t, which gives t = z + 37.\n3. Substitute z = l + 4 to t, which gives t = l + 41.\n4. Substitute l = h + 1 to t, which gives t = h + 42.\n5. Substitute h = c + 14 to t, which gives t = c + 56.\n6. Substitute c = 9 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 5014,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 1; l = h + 1; i = o + 11; c = 9; m = w + 11; o = c + 4; h = c + 14; w = z + 20; z = l + 4; j = a + 4; b = j + 8; t = m + 6; p = i + 18. If c = 9, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"v": "z + 12", "x": "v + 9", "d": "x + 12", "w": "d + 18", "t": "w + 19", "u": "t + 5", "g": "z + 7", "a": "g + 10", "j": "a + 15", "q": "j + 19", "m": "q + 14", "k": "m + 3", "z": 13}, "premises": {"z": 13}, "target": "u"}, "answer": {"steps": [["t", "w + 19", "w + 24"], ["w", "d + 18", "d + 42"], ["d", "x + 12", "x + 54"], ["x", "v + 9", "v + 63"], ["v", "z + 12", "z + 75"], ["z", 13, "88"]], "target_var_name": "u", "target_value": 88, "value_dict": {"z": 13}, "is_reverse": true}}
| 5,015
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = t + 5; g = z + 7; w = d + 18; t = w + 19; z = 13; j = a + 15; x = v + 9; k = m + 3; v = z + 12; m = q + 14; a = g + 10; q = j + 19; d = x + 12. Given that z = 13, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 19 to u, which gives u = w + 24.\n2. Substitute w = d + 18 to u, which gives u = d + 42.\n3. Substitute d = x + 12 to u, which gives u = x + 54.\n4. Substitute x = v + 9 to u, which gives u = v + 63.\n5. Substitute v = z + 12 to u, which gives u = z + 75.\n6. Substitute z = 13 to u, which gives u = 88.\n\nThus, the final answer is u = \\boxed{88}.",
"index": 5015,
"question": "Suppose a collection of variables is related by the following definitions: u = t + 5; g = z + 7; w = d + 18; t = w + 19; z = 13; j = a + 15; x = v + 9; k = m + 3; v = z + 12; m = q + 14; a = g + 10; q = j + 19; d = x + 12. Given that z = 13, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"w": "b + 13", "o": "w + 1", "q": "o + 14", "g": "q + 6", "n": "g + 10", "x": "n + 17", "k": "b + 3", "p": "k + 18", "h": "p + 1", "d": "h + 6", "s": "d + 13", "m": "s + 17", "b": 6}, "premises": {"b": 6}, "target": "x"}, "answer": {"steps": [["n", "g + 10", "g + 27"], ["g", "q + 6", "q + 33"], ["q", "o + 14", "o + 47"], ["o", "w + 1", "w + 48"], ["w", "b + 13", "b + 61"], ["b", 6, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"b": 6}, "is_reverse": true}}
| 5,016
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = q + 6; d = h + 6; h = p + 1; k = b + 3; s = d + 13; m = s + 17; p = k + 18; q = o + 14; o = w + 1; b = 6; x = n + 17; w = b + 13; n = g + 10. If b = 6, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 10 to x, which gives x = g + 27.\n2. Substitute g = q + 6 to x, which gives x = q + 33.\n3. Substitute q = o + 14 to x, which gives x = o + 47.\n4. Substitute o = w + 1 to x, which gives x = w + 48.\n5. Substitute w = b + 13 to x, which gives x = b + 61.\n6. Substitute b = 6 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 5016,
"question": "Consider a system of variables where each variable is defined as follows: g = q + 6; d = h + 6; h = p + 1; k = b + 3; s = d + 13; m = s + 17; p = k + 18; q = o + 14; o = w + 1; b = 6; x = n + 17; w = b + 13; n = g + 10. If b = 6, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"g": "s + 2", "f": "g + 12", "p": "f + 16", "x": "p + 17", "k": "x + 9", "z": "k + 3", "r": "s + 18", "u": "r + 18", "y": "u + 12", "t": "y + 3", "h": "t + 9", "c": "h + 14", "s": 16}, "premises": {"s": 16}, "target": "z"}, "answer": {"steps": [["k", "x + 9", "x + 12"], ["x", "p + 17", "p + 29"], ["p", "f + 16", "f + 45"], ["f", "g + 12", "g + 57"], ["g", "s + 2", "s + 59"], ["s", 16, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"s": 16}, "is_reverse": true}}
| 5,017
| 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 = p + 17; t = y + 3; h = t + 9; u = r + 18; f = g + 12; p = f + 16; y = u + 12; g = s + 2; z = k + 3; r = s + 18; s = 16; k = x + 9; c = h + 14. If s = 16, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 9 to z, which gives z = x + 12.\n2. Substitute x = p + 17 to z, which gives z = p + 29.\n3. Substitute p = f + 16 to z, which gives z = f + 45.\n4. Substitute f = g + 12 to z, which gives z = g + 57.\n5. Substitute g = s + 2 to z, which gives z = s + 59.\n6. Substitute s = 16 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 5017,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = p + 17; t = y + 3; h = t + 9; u = r + 18; f = g + 12; p = f + 16; y = u + 12; g = s + 2; z = k + 3; r = s + 18; s = 16; k = x + 9; c = h + 14. If s = 16, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"m": "n + 16", "v": "m + 4", "l": "v + 3", "s": "l + 19", "d": "s + 5", "w": "d + 4", "z": "n + 19", "f": "z + 14", "k": "f + 14", "q": "k + 4", "g": "q + 1", "o": "g + 11", "n": 19}, "premises": {"n": 19}, "target": "w"}, "answer": {"steps": [["d", "s + 5", "s + 9"], ["s", "l + 19", "l + 28"], ["l", "v + 3", "v + 31"], ["v", "m + 4", "m + 35"], ["m", "n + 16", "n + 51"], ["n", 19, "70"]], "target_var_name": "w", "target_value": 70, "value_dict": {"n": 19}, "is_reverse": true}}
| 5,018
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = g + 11; m = n + 16; v = m + 4; f = z + 14; k = f + 14; d = s + 5; n = 19; q = k + 4; l = v + 3; s = l + 19; z = n + 19; g = q + 1; w = d + 4. If n = 19, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 5 to w, which gives w = s + 9.\n2. Substitute s = l + 19 to w, which gives w = l + 28.\n3. Substitute l = v + 3 to w, which gives w = v + 31.\n4. Substitute v = m + 4 to w, which gives w = m + 35.\n5. Substitute m = n + 16 to w, which gives w = n + 51.\n6. Substitute n = 19 to w, which gives w = 70.\n\nThus, the final answer is w = \\boxed{70}.",
"index": 5018,
"question": "Consider a system of variables where each variable is defined as follows: o = g + 11; m = n + 16; v = m + 4; f = z + 14; k = f + 14; d = s + 5; n = 19; q = k + 4; l = v + 3; s = l + 19; z = n + 19; g = q + 1; w = d + 4. If n = 19, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"g": "c + 3", "s": "g + 14", "x": "s + 11", "d": "x + 15", "y": "d + 7", "m": "y + 19", "t": "c + 17", "b": "t + 2", "k": "b + 15", "z": "k + 1", "a": "z + 6", "u": "a + 10", "c": 13}, "premises": {"c": 13}, "target": "m"}, "answer": {"steps": [["y", "d + 7", "d + 26"], ["d", "x + 15", "x + 41"], ["x", "s + 11", "s + 52"], ["s", "g + 14", "g + 66"], ["g", "c + 3", "c + 69"], ["c", 13, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"c": 13}, "is_reverse": true}}
| 5,019
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = k + 1; c = 13; t = c + 17; a = z + 6; m = y + 19; d = x + 15; x = s + 11; k = b + 15; s = g + 14; u = a + 10; y = d + 7; b = t + 2; g = c + 3. If c = 13, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 7 to m, which gives m = d + 26.\n2. Substitute d = x + 15 to m, which gives m = x + 41.\n3. Substitute x = s + 11 to m, which gives m = s + 52.\n4. Substitute s = g + 14 to m, which gives m = g + 66.\n5. Substitute g = c + 3 to m, which gives m = c + 69.\n6. Substitute c = 13 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 5019,
"question": "Consider a system of variables where each variable is defined as follows: z = k + 1; c = 13; t = c + 17; a = z + 6; m = y + 19; d = x + 15; x = s + 11; k = b + 15; s = g + 14; u = a + 10; y = d + 7; b = t + 2; g = c + 3. If c = 13, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"n": "s + 7", "b": "n + 11", "z": "b + 16", "c": "z + 15", "e": "c + 20", "t": "e + 4", "l": "s + 3", "p": "l + 9", "j": "p + 7", "k": "j + 1", "a": "k + 18", "y": "a + 2", "s": 4}, "premises": {"s": 4}, "target": "t"}, "answer": {"steps": [["e", "c + 20", "c + 24"], ["c", "z + 15", "z + 39"], ["z", "b + 16", "b + 55"], ["b", "n + 11", "n + 66"], ["n", "s + 7", "s + 73"], ["s", 4, "77"]], "target_var_name": "t", "target_value": 77, "value_dict": {"s": 4}, "is_reverse": true}}
| 5,020
| 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 + 16; a = k + 18; j = p + 7; y = a + 2; b = n + 11; t = e + 4; c = z + 15; p = l + 9; n = s + 7; l = s + 3; s = 4; k = j + 1; e = c + 20. If s = 4, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 20 to t, which gives t = c + 24.\n2. Substitute c = z + 15 to t, which gives t = z + 39.\n3. Substitute z = b + 16 to t, which gives t = b + 55.\n4. Substitute b = n + 11 to t, which gives t = n + 66.\n5. Substitute n = s + 7 to t, which gives t = s + 73.\n6. Substitute s = 4 to t, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 5020,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = b + 16; a = k + 18; j = p + 7; y = a + 2; b = n + 11; t = e + 4; c = z + 15; p = l + 9; n = s + 7; l = s + 3; s = 4; k = j + 1; e = c + 20. If s = 4, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"r": "s + 5", "d": "r + 13", "l": "d + 11", "t": "l + 5", "w": "t + 17", "z": "w + 7", "e": "s + 10", "p": "e + 10", "a": "p + 1", "x": "a + 3", "h": "x + 20", "g": "h + 1", "s": 6}, "premises": {"s": 6}, "target": "z"}, "answer": {"steps": [["w", "t + 17", "t + 24"], ["t", "l + 5", "l + 29"], ["l", "d + 11", "d + 40"], ["d", "r + 13", "r + 53"], ["r", "s + 5", "s + 58"], ["s", 6, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"s": 6}, "is_reverse": true}}
| 5,021
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = r + 13; t = l + 5; s = 6; x = a + 3; g = h + 1; a = p + 1; p = e + 10; r = s + 5; h = x + 20; l = d + 11; e = s + 10; z = w + 7; w = t + 17. Given that s = 6, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 17 to z, which gives z = t + 24.\n2. Substitute t = l + 5 to z, which gives z = l + 29.\n3. Substitute l = d + 11 to z, which gives z = d + 40.\n4. Substitute d = r + 13 to z, which gives z = r + 53.\n5. Substitute r = s + 5 to z, which gives z = s + 58.\n6. Substitute s = 6 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 5021,
"question": "Suppose a collection of variables is related by the following definitions: d = r + 13; t = l + 5; s = 6; x = a + 3; g = h + 1; a = p + 1; p = e + 10; r = s + 5; h = x + 20; l = d + 11; e = s + 10; z = w + 7; w = t + 17. Given that s = 6, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"h": "p + 3", "u": "h + 19", "o": "u + 9", "s": "o + 14", "g": "s + 4", "x": "g + 5", "j": "p + 12", "e": "j + 15", "a": "e + 6", "m": "a + 10", "y": "m + 18", "f": "y + 2", "p": 2}, "premises": {"p": 2}, "target": "x"}, "answer": {"steps": [["g", "s + 4", "s + 9"], ["s", "o + 14", "o + 23"], ["o", "u + 9", "u + 32"], ["u", "h + 19", "h + 51"], ["h", "p + 3", "p + 54"], ["p", 2, "56"]], "target_var_name": "x", "target_value": 56, "value_dict": {"p": 2}, "is_reverse": true}}
| 5,022
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 19; m = a + 10; p = 2; y = m + 18; s = o + 14; h = p + 3; x = g + 5; g = s + 4; e = j + 15; o = u + 9; f = y + 2; a = e + 6; j = p + 12. If p = 2, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 4 to x, which gives x = s + 9.\n2. Substitute s = o + 14 to x, which gives x = o + 23.\n3. Substitute o = u + 9 to x, which gives x = u + 32.\n4. Substitute u = h + 19 to x, which gives x = h + 51.\n5. Substitute h = p + 3 to x, which gives x = p + 54.\n6. Substitute p = 2 to x, which gives x = 56.\n\nThus, the final answer is x = \\boxed{56}.",
"index": 5022,
"question": "Consider a system of variables where each variable is defined as follows: u = h + 19; m = a + 10; p = 2; y = m + 18; s = o + 14; h = p + 3; x = g + 5; g = s + 4; e = j + 15; o = u + 9; f = y + 2; a = e + 6; j = p + 12. If p = 2, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"g": "e + 10", "f": "g + 19", "t": "f + 14", "p": "t + 5", "h": "p + 7", "w": "h + 13", "r": "e + 7", "n": "r + 4", "b": "n + 2", "j": "b + 4", "k": "j + 1", "o": "k + 18", "e": 7}, "premises": {"e": 7}, "target": "w"}, "answer": {"steps": [["h", "p + 7", "p + 20"], ["p", "t + 5", "t + 25"], ["t", "f + 14", "f + 39"], ["f", "g + 19", "g + 58"], ["g", "e + 10", "e + 68"], ["e", 7, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"e": 7}, "is_reverse": true}}
| 5,023
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = e + 7; b = n + 2; w = h + 13; g = e + 10; p = t + 5; n = r + 4; t = f + 14; e = 7; o = k + 18; h = p + 7; k = j + 1; f = g + 19; j = b + 4. Given that e = 7, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 7 to w, which gives w = p + 20.\n2. Substitute p = t + 5 to w, which gives w = t + 25.\n3. Substitute t = f + 14 to w, which gives w = f + 39.\n4. Substitute f = g + 19 to w, which gives w = g + 58.\n5. Substitute g = e + 10 to w, which gives w = e + 68.\n6. Substitute e = 7 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 5023,
"question": "Suppose a collection of variables is related by the following definitions: r = e + 7; b = n + 2; w = h + 13; g = e + 10; p = t + 5; n = r + 4; t = f + 14; e = 7; o = k + 18; h = p + 7; k = j + 1; f = g + 19; j = b + 4. Given that e = 7, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"u": "f + 18", "z": "u + 19", "c": "z + 18", "p": "c + 10", "w": "p + 1", "b": "w + 2", "s": "f + 7", "j": "s + 6", "e": "j + 11", "l": "e + 12", "t": "l + 18", "o": "t + 10", "f": 9}, "premises": {"f": 9}, "target": "b"}, "answer": {"steps": [["w", "p + 1", "p + 3"], ["p", "c + 10", "c + 13"], ["c", "z + 18", "z + 31"], ["z", "u + 19", "u + 50"], ["u", "f + 18", "f + 68"], ["f", 9, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"f": 9}, "is_reverse": true}}
| 5,024
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = c + 10; o = t + 10; s = f + 7; l = e + 12; w = p + 1; u = f + 18; b = w + 2; f = 9; j = s + 6; c = z + 18; e = j + 11; t = l + 18; z = u + 19. Given that f = 9, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 1 to b, which gives b = p + 3.\n2. Substitute p = c + 10 to b, which gives b = c + 13.\n3. Substitute c = z + 18 to b, which gives b = z + 31.\n4. Substitute z = u + 19 to b, which gives b = u + 50.\n5. Substitute u = f + 18 to b, which gives b = f + 68.\n6. Substitute f = 9 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 5024,
"question": "Suppose a collection of variables is related by the following definitions: p = c + 10; o = t + 10; s = f + 7; l = e + 12; w = p + 1; u = f + 18; b = w + 2; f = 9; j = s + 6; c = z + 18; e = j + 11; t = l + 18; z = u + 19. Given that f = 9, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"i": "t + 5", "d": "i + 17", "v": "d + 2", "k": "v + 2", "m": "k + 16", "w": "m + 9", "l": "t + 16", "c": "l + 8", "n": "c + 17", "u": "n + 13", "z": "u + 1", "x": "z + 7", "t": 11}, "premises": {"t": 11}, "target": "w"}, "answer": {"steps": [["m", "k + 16", "k + 25"], ["k", "v + 2", "v + 27"], ["v", "d + 2", "d + 29"], ["d", "i + 17", "i + 46"], ["i", "t + 5", "t + 51"], ["t", 11, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"t": 11}, "is_reverse": true}}
| 5,025
| 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 = v + 2; m = k + 16; i = t + 5; c = l + 8; d = i + 17; v = d + 2; u = n + 13; l = t + 16; t = 11; n = c + 17; z = u + 1; w = m + 9; x = z + 7. If t = 11, what is the resulting 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 m = k + 16 to w, which gives w = k + 25.\n2. Substitute k = v + 2 to w, which gives w = v + 27.\n3. Substitute v = d + 2 to w, which gives w = d + 29.\n4. Substitute d = i + 17 to w, which gives w = i + 46.\n5. Substitute i = t + 5 to w, which gives w = t + 51.\n6. Substitute t = 11 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 5025,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 2; m = k + 16; i = t + 5; c = l + 8; d = i + 17; v = d + 2; u = n + 13; l = t + 16; t = 11; n = c + 17; z = u + 1; w = m + 9; x = z + 7. If t = 11, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"m": "z + 10", "a": "m + 5", "v": "a + 15", "p": "v + 17", "s": "p + 14", "x": "s + 6", "w": "z + 6", "g": "w + 17", "o": "g + 7", "r": "o + 8", "k": "r + 10", "j": "k + 6", "z": 1}, "premises": {"z": 1}, "target": "x"}, "answer": {"steps": [["s", "p + 14", "p + 20"], ["p", "v + 17", "v + 37"], ["v", "a + 15", "a + 52"], ["a", "m + 5", "m + 57"], ["m", "z + 10", "z + 67"], ["z", 1, "68"]], "target_var_name": "x", "target_value": 68, "value_dict": {"z": 1}, "is_reverse": true}}
| 5,026
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 14; o = g + 7; v = a + 15; k = r + 10; g = w + 17; x = s + 6; j = k + 6; m = z + 10; p = v + 17; a = m + 5; r = o + 8; w = z + 6; z = 1. If z = 1, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 14 to x, which gives x = p + 20.\n2. Substitute p = v + 17 to x, which gives x = v + 37.\n3. Substitute v = a + 15 to x, which gives x = a + 52.\n4. Substitute a = m + 5 to x, which gives x = m + 57.\n5. Substitute m = z + 10 to x, which gives x = z + 67.\n6. Substitute z = 1 to x, which gives x = 68.\n\nThus, the final answer is x = \\boxed{68}.",
"index": 5026,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 14; o = g + 7; v = a + 15; k = r + 10; g = w + 17; x = s + 6; j = k + 6; m = z + 10; p = v + 17; a = m + 5; r = o + 8; w = z + 6; z = 1. If z = 1, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"e": "h + 9", "w": "e + 14", "i": "w + 7", "j": "i + 10", "l": "j + 5", "m": "l + 5", "c": "h + 19", "g": "c + 6", "x": "g + 12", "t": "x + 6", "s": "t + 13", "f": "s + 20", "h": 17}, "premises": {"h": 17}, "target": "m"}, "answer": {"steps": [["l", "j + 5", "j + 10"], ["j", "i + 10", "i + 20"], ["i", "w + 7", "w + 27"], ["w", "e + 14", "e + 41"], ["e", "h + 9", "h + 50"], ["h", 17, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"h": 17}, "is_reverse": true}}
| 5,027
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = g + 12; f = s + 20; t = x + 6; j = i + 10; w = e + 14; c = h + 19; h = 17; e = h + 9; g = c + 6; l = j + 5; s = t + 13; m = l + 5; i = w + 7. Given that h = 17, find the 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 l = j + 5 to m, which gives m = j + 10.\n2. Substitute j = i + 10 to m, which gives m = i + 20.\n3. Substitute i = w + 7 to m, which gives m = w + 27.\n4. Substitute w = e + 14 to m, which gives m = e + 41.\n5. Substitute e = h + 9 to m, which gives m = h + 50.\n6. Substitute h = 17 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 5027,
"question": "Suppose a collection of variables is related by the following definitions: x = g + 12; f = s + 20; t = x + 6; j = i + 10; w = e + 14; c = h + 19; h = 17; e = h + 9; g = c + 6; l = j + 5; s = t + 13; m = l + 5; i = w + 7. Given that h = 17, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"e": "z + 16", "j": "e + 9", "t": "j + 13", "m": "t + 8", "y": "m + 16", "o": "y + 1", "p": "z + 9", "x": "p + 11", "g": "x + 3", "s": "g + 10", "d": "s + 10", "r": "d + 15", "z": 7}, "premises": {"z": 7}, "target": "o"}, "answer": {"steps": [["y", "m + 16", "m + 17"], ["m", "t + 8", "t + 25"], ["t", "j + 13", "j + 38"], ["j", "e + 9", "e + 47"], ["e", "z + 16", "z + 63"], ["z", 7, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"z": 7}, "is_reverse": true}}
| 5,028
| 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 = 7; t = j + 13; s = g + 10; g = x + 3; e = z + 16; p = z + 9; m = t + 8; d = s + 10; j = e + 9; y = m + 16; r = d + 15; x = p + 11; o = y + 1. If z = 7, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 16 to o, which gives o = m + 17.\n2. Substitute m = t + 8 to o, which gives o = t + 25.\n3. Substitute t = j + 13 to o, which gives o = j + 38.\n4. Substitute j = e + 9 to o, which gives o = e + 47.\n5. Substitute e = z + 16 to o, which gives o = z + 63.\n6. Substitute z = 7 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 5028,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 7; t = j + 13; s = g + 10; g = x + 3; e = z + 16; p = z + 9; m = t + 8; d = s + 10; j = e + 9; y = m + 16; r = d + 15; x = p + 11; o = y + 1. If z = 7, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"b": "h + 6", "c": "b + 9", "y": "c + 8", "p": "y + 18", "f": "p + 8", "d": "f + 18", "x": "h + 19", "z": "x + 6", "m": "z + 3", "q": "m + 1", "k": "q + 16", "r": "k + 15", "h": 7}, "premises": {"h": 7}, "target": "d"}, "answer": {"steps": [["f", "p + 8", "p + 26"], ["p", "y + 18", "y + 44"], ["y", "c + 8", "c + 52"], ["c", "b + 9", "b + 61"], ["b", "h + 6", "h + 67"], ["h", 7, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"h": 7}, "is_reverse": true}}
| 5,029
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = h + 19; c = b + 9; q = m + 1; b = h + 6; h = 7; y = c + 8; r = k + 15; z = x + 6; p = y + 18; f = p + 8; k = q + 16; d = f + 18; m = z + 3. Given that h = 7, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 8 to d, which gives d = p + 26.\n2. Substitute p = y + 18 to d, which gives d = y + 44.\n3. Substitute y = c + 8 to d, which gives d = c + 52.\n4. Substitute c = b + 9 to d, which gives d = b + 61.\n5. Substitute b = h + 6 to d, which gives d = h + 67.\n6. Substitute h = 7 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 5029,
"question": "Suppose a collection of variables is related by the following definitions: x = h + 19; c = b + 9; q = m + 1; b = h + 6; h = 7; y = c + 8; r = k + 15; z = x + 6; p = y + 18; f = p + 8; k = q + 16; d = f + 18; m = z + 3. Given that h = 7, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"y": "j + 10", "g": "y + 12", "a": "g + 5", "s": "a + 14", "k": "s + 18", "t": "k + 14", "r": "j + 2", "e": "r + 5", "w": "e + 7", "v": "w + 1", "q": "v + 7", "m": "q + 19", "j": 19}, "premises": {"j": 19}, "target": "t"}, "answer": {"steps": [["k", "s + 18", "s + 32"], ["s", "a + 14", "a + 46"], ["a", "g + 5", "g + 51"], ["g", "y + 12", "y + 63"], ["y", "j + 10", "j + 73"], ["j", 19, "92"]], "target_var_name": "t", "target_value": 92, "value_dict": {"j": 19}, "is_reverse": true}}
| 5,030
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = 19; s = a + 14; m = q + 19; t = k + 14; w = e + 7; e = r + 5; y = j + 10; k = s + 18; v = w + 1; r = j + 2; q = v + 7; g = y + 12; a = g + 5. If j = 19, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 18 to t, which gives t = s + 32.\n2. Substitute s = a + 14 to t, which gives t = a + 46.\n3. Substitute a = g + 5 to t, which gives t = g + 51.\n4. Substitute g = y + 12 to t, which gives t = y + 63.\n5. Substitute y = j + 10 to t, which gives t = j + 73.\n6. Substitute j = 19 to t, which gives t = 92.\n\nThus, the final answer is t = \\boxed{92}.",
"index": 5030,
"question": "Consider a system of variables where each variable is defined as follows: j = 19; s = a + 14; m = q + 19; t = k + 14; w = e + 7; e = r + 5; y = j + 10; k = s + 18; v = w + 1; r = j + 2; q = v + 7; g = y + 12; a = g + 5. If j = 19, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"s": "h + 1", "g": "s + 15", "o": "g + 10", "q": "o + 18", "r": "q + 4", "f": "r + 9", "v": "h + 6", "p": "v + 20", "t": "p + 11", "c": "t + 20", "b": "c + 15", "l": "b + 16", "h": 10}, "premises": {"h": 10}, "target": "f"}, "answer": {"steps": [["r", "q + 4", "q + 13"], ["q", "o + 18", "o + 31"], ["o", "g + 10", "g + 41"], ["g", "s + 15", "s + 56"], ["s", "h + 1", "h + 57"], ["h", 10, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"h": 10}, "is_reverse": true}}
| 5,031
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = t + 20; p = v + 20; r = q + 4; l = b + 16; s = h + 1; o = g + 10; f = r + 9; h = 10; q = o + 18; g = s + 15; t = p + 11; v = h + 6; b = c + 15. Given that h = 10, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 4 to f, which gives f = q + 13.\n2. Substitute q = o + 18 to f, which gives f = o + 31.\n3. Substitute o = g + 10 to f, which gives f = g + 41.\n4. Substitute g = s + 15 to f, which gives f = s + 56.\n5. Substitute s = h + 1 to f, which gives f = h + 57.\n6. Substitute h = 10 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 5031,
"question": "Suppose a collection of variables is related by the following definitions: c = t + 20; p = v + 20; r = q + 4; l = b + 16; s = h + 1; o = g + 10; f = r + 9; h = 10; q = o + 18; g = s + 15; t = p + 11; v = h + 6; b = c + 15. Given that h = 10, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"o": "r + 7", "q": "o + 15", "j": "q + 20", "w": "j + 15", "g": "w + 3", "k": "g + 3", "t": "r + 14", "b": "t + 17", "c": "b + 10", "x": "c + 9", "h": "x + 16", "p": "h + 1", "r": 8}, "premises": {"r": 8}, "target": "k"}, "answer": {"steps": [["g", "w + 3", "w + 6"], ["w", "j + 15", "j + 21"], ["j", "q + 20", "q + 41"], ["q", "o + 15", "o + 56"], ["o", "r + 7", "r + 63"], ["r", 8, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"r": 8}, "is_reverse": true}}
| 5,032
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = c + 9; k = g + 3; o = r + 7; b = t + 17; w = j + 15; q = o + 15; h = x + 16; g = w + 3; j = q + 20; t = r + 14; p = h + 1; r = 8; c = b + 10. If r = 8, what is the resulting 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 g = w + 3 to k, which gives k = w + 6.\n2. Substitute w = j + 15 to k, which gives k = j + 21.\n3. Substitute j = q + 20 to k, which gives k = q + 41.\n4. Substitute q = o + 15 to k, which gives k = o + 56.\n5. Substitute o = r + 7 to k, which gives k = r + 63.\n6. Substitute r = 8 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 5032,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = c + 9; k = g + 3; o = r + 7; b = t + 17; w = j + 15; q = o + 15; h = x + 16; g = w + 3; j = q + 20; t = r + 14; p = h + 1; r = 8; c = b + 10. If r = 8, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"q": "a + 14", "s": "q + 2", "y": "s + 12", "r": "y + 18", "o": "r + 4", "e": "o + 9", "v": "a + 15", "w": "v + 14", "g": "w + 15", "x": "g + 19", "c": "x + 10", "h": "c + 13", "a": 6}, "premises": {"a": 6}, "target": "e"}, "answer": {"steps": [["o", "r + 4", "r + 13"], ["r", "y + 18", "y + 31"], ["y", "s + 12", "s + 43"], ["s", "q + 2", "q + 45"], ["q", "a + 14", "a + 59"], ["a", 6, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"a": 6}, "is_reverse": true}}
| 5,033
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = y + 18; q = a + 14; a = 6; x = g + 19; w = v + 14; s = q + 2; c = x + 10; g = w + 15; v = a + 15; o = r + 4; y = s + 12; e = o + 9; h = c + 13. If a = 6, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 4 to e, which gives e = r + 13.\n2. Substitute r = y + 18 to e, which gives e = y + 31.\n3. Substitute y = s + 12 to e, which gives e = s + 43.\n4. Substitute s = q + 2 to e, which gives e = q + 45.\n5. Substitute q = a + 14 to e, which gives e = a + 59.\n6. Substitute a = 6 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 5033,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = y + 18; q = a + 14; a = 6; x = g + 19; w = v + 14; s = q + 2; c = x + 10; g = w + 15; v = a + 15; o = r + 4; y = s + 12; e = o + 9; h = c + 13. If a = 6, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"b": "f + 19", "q": "b + 11", "w": "q + 2", "s": "w + 12", "l": "s + 12", "u": "l + 1", "m": "f + 1", "d": "m + 12", "g": "d + 13", "o": "g + 8", "v": "o + 14", "y": "v + 18", "f": 1}, "premises": {"f": 1}, "target": "u"}, "answer": {"steps": [["l", "s + 12", "s + 13"], ["s", "w + 12", "w + 25"], ["w", "q + 2", "q + 27"], ["q", "b + 11", "b + 38"], ["b", "f + 19", "f + 57"], ["f", 1, "58"]], "target_var_name": "u", "target_value": 58, "value_dict": {"f": 1}, "is_reverse": true}}
| 5,034
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = o + 14; m = f + 1; g = d + 13; y = v + 18; d = m + 12; f = 1; w = q + 2; b = f + 19; s = w + 12; l = s + 12; o = g + 8; u = l + 1; q = b + 11. If f = 1, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 12 to u, which gives u = s + 13.\n2. Substitute s = w + 12 to u, which gives u = w + 25.\n3. Substitute w = q + 2 to u, which gives u = q + 27.\n4. Substitute q = b + 11 to u, which gives u = b + 38.\n5. Substitute b = f + 19 to u, which gives u = f + 57.\n6. Substitute f = 1 to u, which gives u = 58.\n\nThus, the final answer is u = \\boxed{58}.",
"index": 5034,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = o + 14; m = f + 1; g = d + 13; y = v + 18; d = m + 12; f = 1; w = q + 2; b = f + 19; s = w + 12; l = s + 12; o = g + 8; u = l + 1; q = b + 11. If f = 1, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"q": "f + 16", "m": "q + 2", "g": "m + 12", "p": "g + 14", "x": "p + 16", "k": "x + 7", "r": "f + 5", "j": "r + 12", "b": "j + 16", "n": "b + 10", "i": "n + 20", "v": "i + 9", "f": 1}, "premises": {"f": 1}, "target": "k"}, "answer": {"steps": [["x", "p + 16", "p + 23"], ["p", "g + 14", "g + 37"], ["g", "m + 12", "m + 49"], ["m", "q + 2", "q + 51"], ["q", "f + 16", "f + 67"], ["f", 1, "68"]], "target_var_name": "k", "target_value": 68, "value_dict": {"f": 1}, "is_reverse": true}}
| 5,035
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = 1; j = r + 12; r = f + 5; p = g + 14; i = n + 20; q = f + 16; v = i + 9; b = j + 16; k = x + 7; x = p + 16; n = b + 10; g = m + 12; m = q + 2. If f = 1, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 16 to k, which gives k = p + 23.\n2. Substitute p = g + 14 to k, which gives k = g + 37.\n3. Substitute g = m + 12 to k, which gives k = m + 49.\n4. Substitute m = q + 2 to k, which gives k = q + 51.\n5. Substitute q = f + 16 to k, which gives k = f + 67.\n6. Substitute f = 1 to k, which gives k = 68.\n\nThus, the final answer is k = \\boxed{68}.",
"index": 5035,
"question": "Consider a system of variables where each variable is defined as follows: f = 1; j = r + 12; r = f + 5; p = g + 14; i = n + 20; q = f + 16; v = i + 9; b = j + 16; k = x + 7; x = p + 16; n = b + 10; g = m + 12; m = q + 2. If f = 1, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"g": "i + 2", "e": "g + 18", "z": "e + 3", "l": "z + 9", "p": "l + 14", "h": "p + 19", "o": "i + 13", "t": "o + 1", "d": "t + 7", "n": "d + 1", "u": "n + 1", "m": "u + 8", "i": 9}, "premises": {"i": 9}, "target": "h"}, "answer": {"steps": [["p", "l + 14", "l + 33"], ["l", "z + 9", "z + 42"], ["z", "e + 3", "e + 45"], ["e", "g + 18", "g + 63"], ["g", "i + 2", "i + 65"], ["i", 9, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"i": 9}, "is_reverse": true}}
| 5,036
| 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 = l + 14; o = i + 13; t = o + 1; i = 9; u = n + 1; e = g + 18; h = p + 19; d = t + 7; z = e + 3; m = u + 8; l = z + 9; g = i + 2; n = d + 1. If i = 9, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 14 to h, which gives h = l + 33.\n2. Substitute l = z + 9 to h, which gives h = z + 42.\n3. Substitute z = e + 3 to h, which gives h = e + 45.\n4. Substitute e = g + 18 to h, which gives h = g + 63.\n5. Substitute g = i + 2 to h, which gives h = i + 65.\n6. Substitute i = 9 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 5036,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = l + 14; o = i + 13; t = o + 1; i = 9; u = n + 1; e = g + 18; h = p + 19; d = t + 7; z = e + 3; m = u + 8; l = z + 9; g = i + 2; n = d + 1. If i = 9, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 1", "v": "y + 14", "u": "v + 6", "n": "u + 7", "o": "n + 19", "j": "o + 17", "g": "t + 15", "a": "g + 10", "f": "a + 18", "k": "f + 16", "p": "k + 4", "q": "p + 13", "t": 19}, "premises": {"t": 19}, "target": "j"}, "answer": {"steps": [["o", "n + 19", "n + 36"], ["n", "u + 7", "u + 43"], ["u", "v + 6", "v + 49"], ["v", "y + 14", "y + 63"], ["y", "t + 1", "t + 64"], ["t", 19, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"t": 19}, "is_reverse": true}}
| 5,037
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = t + 1; v = y + 14; n = u + 7; g = t + 15; a = g + 10; f = a + 18; o = n + 19; j = o + 17; q = p + 13; k = f + 16; p = k + 4; t = 19; u = v + 6. Given that t = 19, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 19 to j, which gives j = n + 36.\n2. Substitute n = u + 7 to j, which gives j = u + 43.\n3. Substitute u = v + 6 to j, which gives j = v + 49.\n4. Substitute v = y + 14 to j, which gives j = y + 63.\n5. Substitute y = t + 1 to j, which gives j = t + 64.\n6. Substitute t = 19 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 5037,
"question": "Suppose a collection of variables is related by the following definitions: y = t + 1; v = y + 14; n = u + 7; g = t + 15; a = g + 10; f = a + 18; o = n + 19; j = o + 17; q = p + 13; k = f + 16; p = k + 4; t = 19; u = v + 6. Given that t = 19, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"p": "h + 9", "j": "p + 20", "i": "j + 13", "z": "i + 2", "q": "z + 6", "c": "q + 11", "s": "h + 3", "o": "s + 6", "m": "o + 15", "a": "m + 14", "t": "a + 15", "n": "t + 19", "h": 9}, "premises": {"h": 9}, "target": "c"}, "answer": {"steps": [["q", "z + 6", "z + 17"], ["z", "i + 2", "i + 19"], ["i", "j + 13", "j + 32"], ["j", "p + 20", "p + 52"], ["p", "h + 9", "h + 61"], ["h", 9, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"h": 9}, "is_reverse": true}}
| 5,038
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = p + 20; m = o + 15; a = m + 14; q = z + 6; i = j + 13; z = i + 2; p = h + 9; n = t + 19; h = 9; t = a + 15; s = h + 3; o = s + 6; c = q + 11. If h = 9, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 6 to c, which gives c = z + 17.\n2. Substitute z = i + 2 to c, which gives c = i + 19.\n3. Substitute i = j + 13 to c, which gives c = j + 32.\n4. Substitute j = p + 20 to c, which gives c = p + 52.\n5. Substitute p = h + 9 to c, which gives c = h + 61.\n6. Substitute h = 9 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 5038,
"question": "Consider a system of variables where each variable is defined as follows: j = p + 20; m = o + 15; a = m + 14; q = z + 6; i = j + 13; z = i + 2; p = h + 9; n = t + 19; h = 9; t = a + 15; s = h + 3; o = s + 6; c = q + 11. If h = 9, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"j": "u + 19", "d": "j + 14", "t": "d + 20", "c": "t + 8", "f": "c + 14", "a": "f + 8", "h": "u + 2", "i": "h + 9", "l": "i + 15", "m": "l + 3", "z": "m + 16", "g": "z + 16", "u": 8}, "premises": {"u": 8}, "target": "a"}, "answer": {"steps": [["f", "c + 14", "c + 22"], ["c", "t + 8", "t + 30"], ["t", "d + 20", "d + 50"], ["d", "j + 14", "j + 64"], ["j", "u + 19", "u + 83"], ["u", 8, "91"]], "target_var_name": "a", "target_value": 91, "value_dict": {"u": 8}, "is_reverse": true}}
| 5,039
| 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 = l + 3; z = m + 16; d = j + 14; h = u + 2; i = h + 9; l = i + 15; a = f + 8; t = d + 20; c = t + 8; g = z + 16; j = u + 19; f = c + 14; u = 8. If u = 8, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 14 to a, which gives a = c + 22.\n2. Substitute c = t + 8 to a, which gives a = t + 30.\n3. Substitute t = d + 20 to a, which gives a = d + 50.\n4. Substitute d = j + 14 to a, which gives a = j + 64.\n5. Substitute j = u + 19 to a, which gives a = u + 83.\n6. Substitute u = 8 to a, which gives a = 91.\n\nThus, the final answer is a = \\boxed{91}.",
"index": 5039,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = l + 3; z = m + 16; d = j + 14; h = u + 2; i = h + 9; l = i + 15; a = f + 8; t = d + 20; c = t + 8; g = z + 16; j = u + 19; f = c + 14; u = 8. If u = 8, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"t": "b + 8", "p": "t + 7", "f": "p + 12", "n": "f + 7", "j": "n + 13", "z": "j + 15", "a": "b + 6", "o": "a + 2", "d": "o + 12", "l": "d + 3", "r": "l + 1", "i": "r + 8", "b": 9}, "premises": {"b": 9}, "target": "z"}, "answer": {"steps": [["j", "n + 13", "n + 28"], ["n", "f + 7", "f + 35"], ["f", "p + 12", "p + 47"], ["p", "t + 7", "t + 54"], ["t", "b + 8", "b + 62"], ["b", 9, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"b": 9}, "is_reverse": true}}
| 5,040
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 2; t = b + 8; z = j + 15; f = p + 12; j = n + 13; i = r + 8; a = b + 6; l = d + 3; n = f + 7; r = l + 1; p = t + 7; b = 9; d = o + 12. If b = 9, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 13 to z, which gives z = n + 28.\n2. Substitute n = f + 7 to z, which gives z = f + 35.\n3. Substitute f = p + 12 to z, which gives z = p + 47.\n4. Substitute p = t + 7 to z, which gives z = t + 54.\n5. Substitute t = b + 8 to z, which gives z = b + 62.\n6. Substitute b = 9 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 5040,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 2; t = b + 8; z = j + 15; f = p + 12; j = n + 13; i = r + 8; a = b + 6; l = d + 3; n = f + 7; r = l + 1; p = t + 7; b = 9; d = o + 12. If b = 9, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"d": "g + 11", "l": "d + 4", "c": "l + 19", "m": "c + 6", "o": "m + 11", "s": "o + 16", "h": "g + 3", "z": "h + 17", "k": "z + 11", "t": "k + 7", "y": "t + 10", "f": "y + 8", "g": 4}, "premises": {"g": 4}, "target": "s"}, "answer": {"steps": [["o", "m + 11", "m + 27"], ["m", "c + 6", "c + 33"], ["c", "l + 19", "l + 52"], ["l", "d + 4", "d + 56"], ["d", "g + 11", "g + 67"], ["g", 4, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"g": 4}, "is_reverse": true}}
| 5,041
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = g + 3; l = d + 4; s = o + 16; o = m + 11; g = 4; f = y + 8; d = g + 11; y = t + 10; c = l + 19; m = c + 6; z = h + 17; k = z + 11; t = k + 7. Given that g = 4, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 11 to s, which gives s = m + 27.\n2. Substitute m = c + 6 to s, which gives s = c + 33.\n3. Substitute c = l + 19 to s, which gives s = l + 52.\n4. Substitute l = d + 4 to s, which gives s = d + 56.\n5. Substitute d = g + 11 to s, which gives s = g + 67.\n6. Substitute g = 4 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 5041,
"question": "Suppose a collection of variables is related by the following definitions: h = g + 3; l = d + 4; s = o + 16; o = m + 11; g = 4; f = y + 8; d = g + 11; y = t + 10; c = l + 19; m = c + 6; z = h + 17; k = z + 11; t = k + 7. Given that g = 4, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"g": "h + 5", "e": "g + 3", "v": "e + 20", "o": "v + 18", "t": "o + 12", "p": "t + 4", "i": "h + 13", "w": "i + 2", "b": "w + 6", "d": "b + 13", "s": "d + 13", "u": "s + 5", "h": 13}, "premises": {"h": 13}, "target": "p"}, "answer": {"steps": [["t", "o + 12", "o + 16"], ["o", "v + 18", "v + 34"], ["v", "e + 20", "e + 54"], ["e", "g + 3", "g + 57"], ["g", "h + 5", "h + 62"], ["h", 13, "75"]], "target_var_name": "p", "target_value": 75, "value_dict": {"h": 13}, "is_reverse": true}}
| 5,042
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = t + 4; g = h + 5; o = v + 18; t = o + 12; v = e + 20; b = w + 6; i = h + 13; w = i + 2; e = g + 3; s = d + 13; h = 13; u = s + 5; d = b + 13. If h = 13, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 12 to p, which gives p = o + 16.\n2. Substitute o = v + 18 to p, which gives p = v + 34.\n3. Substitute v = e + 20 to p, which gives p = e + 54.\n4. Substitute e = g + 3 to p, which gives p = g + 57.\n5. Substitute g = h + 5 to p, which gives p = h + 62.\n6. Substitute h = 13 to p, which gives p = 75.\n\nThus, the final answer is p = \\boxed{75}.",
"index": 5042,
"question": "Consider a system of variables where each variable is defined as follows: p = t + 4; g = h + 5; o = v + 18; t = o + 12; v = e + 20; b = w + 6; i = h + 13; w = i + 2; e = g + 3; s = d + 13; h = 13; u = s + 5; d = b + 13. If h = 13, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"x": "g + 14", "h": "x + 5", "d": "h + 4", "b": "d + 15", "s": "b + 10", "f": "s + 9", "y": "g + 7", "w": "y + 17", "e": "w + 8", "u": "e + 12", "t": "u + 5", "v": "t + 6", "g": 8}, "premises": {"g": 8}, "target": "f"}, "answer": {"steps": [["s", "b + 10", "b + 19"], ["b", "d + 15", "d + 34"], ["d", "h + 4", "h + 38"], ["h", "x + 5", "x + 43"], ["x", "g + 14", "g + 57"], ["g", 8, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"g": 8}, "is_reverse": true}}
| 5,043
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = g + 7; h = x + 5; t = u + 5; w = y + 17; s = b + 10; g = 8; e = w + 8; d = h + 4; b = d + 15; f = s + 9; u = e + 12; v = t + 6; x = g + 14. If g = 8, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 10 to f, which gives f = b + 19.\n2. Substitute b = d + 15 to f, which gives f = d + 34.\n3. Substitute d = h + 4 to f, which gives f = h + 38.\n4. Substitute h = x + 5 to f, which gives f = x + 43.\n5. Substitute x = g + 14 to f, which gives f = g + 57.\n6. Substitute g = 8 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 5043,
"question": "Consider a system of variables where each variable is defined as follows: y = g + 7; h = x + 5; t = u + 5; w = y + 17; s = b + 10; g = 8; e = w + 8; d = h + 4; b = d + 15; f = s + 9; u = e + 12; v = t + 6; x = g + 14. If g = 8, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"d": "q + 11", "y": "d + 19", "a": "y + 4", "i": "a + 5", "r": "i + 1", "b": "r + 16", "u": "q + 1", "t": "u + 14", "s": "t + 6", "l": "s + 13", "z": "l + 7", "o": "z + 10", "q": 13}, "premises": {"q": 13}, "target": "b"}, "answer": {"steps": [["r", "i + 1", "i + 17"], ["i", "a + 5", "a + 22"], ["a", "y + 4", "y + 26"], ["y", "d + 19", "d + 45"], ["d", "q + 11", "q + 56"], ["q", 13, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"q": 13}, "is_reverse": true}}
| 5,044
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = t + 6; u = q + 1; i = a + 5; q = 13; o = z + 10; d = q + 11; r = i + 1; l = s + 13; t = u + 14; b = r + 16; z = l + 7; y = d + 19; a = y + 4. If q = 13, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 1 to b, which gives b = i + 17.\n2. Substitute i = a + 5 to b, which gives b = a + 22.\n3. Substitute a = y + 4 to b, which gives b = y + 26.\n4. Substitute y = d + 19 to b, which gives b = d + 45.\n5. Substitute d = q + 11 to b, which gives b = q + 56.\n6. Substitute q = 13 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 5044,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = t + 6; u = q + 1; i = a + 5; q = 13; o = z + 10; d = q + 11; r = i + 1; l = s + 13; t = u + 14; b = r + 16; z = l + 7; y = d + 19; a = y + 4. If q = 13, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"j": "k + 5", "u": "j + 8", "a": "u + 7", "r": "a + 7", "z": "r + 11", "n": "z + 3", "i": "k + 14", "f": "i + 9", "h": "f + 19", "x": "h + 8", "b": "x + 4", "w": "b + 5", "k": 10}, "premises": {"k": 10}, "target": "n"}, "answer": {"steps": [["z", "r + 11", "r + 14"], ["r", "a + 7", "a + 21"], ["a", "u + 7", "u + 28"], ["u", "j + 8", "j + 36"], ["j", "k + 5", "k + 41"], ["k", 10, "51"]], "target_var_name": "n", "target_value": 51, "value_dict": {"k": 10}, "is_reverse": true}}
| 5,045
| 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 + 14; h = f + 19; a = u + 7; k = 10; x = h + 8; w = b + 5; f = i + 9; n = z + 3; z = r + 11; u = j + 8; r = a + 7; b = x + 4; j = k + 5. If k = 10, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 11 to n, which gives n = r + 14.\n2. Substitute r = a + 7 to n, which gives n = a + 21.\n3. Substitute a = u + 7 to n, which gives n = u + 28.\n4. Substitute u = j + 8 to n, which gives n = j + 36.\n5. Substitute j = k + 5 to n, which gives n = k + 41.\n6. Substitute k = 10 to n, which gives n = 51.\n\nThus, the final answer is n = \\boxed{51}.",
"index": 5045,
"question": "Consider a system of variables where each variable is defined as follows: i = k + 14; h = f + 19; a = u + 7; k = 10; x = h + 8; w = b + 5; f = i + 9; n = z + 3; z = r + 11; u = j + 8; r = a + 7; b = x + 4; j = k + 5. If k = 10, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"t": "r + 9", "h": "t + 13", "j": "h + 19", "g": "j + 13", "v": "g + 16", "z": "v + 7", "c": "r + 11", "b": "c + 4", "f": "b + 3", "q": "f + 2", "l": "q + 15", "n": "l + 19", "r": 16}, "premises": {"r": 16}, "target": "z"}, "answer": {"steps": [["v", "g + 16", "g + 23"], ["g", "j + 13", "j + 36"], ["j", "h + 19", "h + 55"], ["h", "t + 13", "t + 68"], ["t", "r + 9", "r + 77"], ["r", 16, "93"]], "target_var_name": "z", "target_value": 93, "value_dict": {"r": 16}, "is_reverse": true}}
| 5,046
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = t + 13; g = j + 13; t = r + 9; n = l + 19; q = f + 2; c = r + 11; j = h + 19; f = b + 3; l = q + 15; z = v + 7; b = c + 4; v = g + 16; r = 16. Given that r = 16, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 16 to z, which gives z = g + 23.\n2. Substitute g = j + 13 to z, which gives z = j + 36.\n3. Substitute j = h + 19 to z, which gives z = h + 55.\n4. Substitute h = t + 13 to z, which gives z = t + 68.\n5. Substitute t = r + 9 to z, which gives z = r + 77.\n6. Substitute r = 16 to z, which gives z = 93.\n\nThus, the final answer is z = \\boxed{93}.",
"index": 5046,
"question": "Suppose a collection of variables is related by the following definitions: h = t + 13; g = j + 13; t = r + 9; n = l + 19; q = f + 2; c = r + 11; j = h + 19; f = b + 3; l = q + 15; z = v + 7; b = c + 4; v = g + 16; r = 16. Given that r = 16, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"o": "u + 6", "h": "o + 3", "p": "h + 2", "a": "p + 11", "s": "a + 11", "w": "s + 13", "i": "u + 11", "r": "i + 12", "y": "r + 18", "n": "y + 14", "l": "n + 4", "z": "l + 5", "u": 15}, "premises": {"u": 15}, "target": "w"}, "answer": {"steps": [["s", "a + 11", "a + 24"], ["a", "p + 11", "p + 35"], ["p", "h + 2", "h + 37"], ["h", "o + 3", "o + 40"], ["o", "u + 6", "u + 46"], ["u", 15, "61"]], "target_var_name": "w", "target_value": 61, "value_dict": {"u": 15}, "is_reverse": true}}
| 5,047
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = u + 6; l = n + 4; p = h + 2; h = o + 3; s = a + 11; a = p + 11; w = s + 13; u = 15; r = i + 12; z = l + 5; n = y + 14; y = r + 18; i = u + 11. If u = 15, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 11 to w, which gives w = a + 24.\n2. Substitute a = p + 11 to w, which gives w = p + 35.\n3. Substitute p = h + 2 to w, which gives w = h + 37.\n4. Substitute h = o + 3 to w, which gives w = o + 40.\n5. Substitute o = u + 6 to w, which gives w = u + 46.\n6. Substitute u = 15 to w, which gives w = 61.\n\nThus, the final answer is w = \\boxed{61}.",
"index": 5047,
"question": "Consider a system of variables where each variable is defined as follows: o = u + 6; l = n + 4; p = h + 2; h = o + 3; s = a + 11; a = p + 11; w = s + 13; u = 15; r = i + 12; z = l + 5; n = y + 14; y = r + 18; i = u + 11. If u = 15, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"l": "v + 17", "a": "l + 20", "m": "a + 11", "r": "m + 1", "e": "r + 8", "q": "e + 7", "i": "v + 1", "g": "i + 14", "s": "g + 13", "w": "s + 20", "b": "w + 18", "p": "b + 16", "v": 13}, "premises": {"v": 13}, "target": "q"}, "answer": {"steps": [["e", "r + 8", "r + 15"], ["r", "m + 1", "m + 16"], ["m", "a + 11", "a + 27"], ["a", "l + 20", "l + 47"], ["l", "v + 17", "v + 64"], ["v", 13, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"v": 13}, "is_reverse": true}}
| 5,048
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = e + 7; v = 13; r = m + 1; a = l + 20; l = v + 17; g = i + 14; i = v + 1; w = s + 20; b = w + 18; s = g + 13; m = a + 11; p = b + 16; e = r + 8. If v = 13, determine 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 e = r + 8 to q, which gives q = r + 15.\n2. Substitute r = m + 1 to q, which gives q = m + 16.\n3. Substitute m = a + 11 to q, which gives q = a + 27.\n4. Substitute a = l + 20 to q, which gives q = l + 47.\n5. Substitute l = v + 17 to q, which gives q = v + 64.\n6. Substitute v = 13 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 5048,
"question": "Consider a system of variables where each variable is defined as follows: q = e + 7; v = 13; r = m + 1; a = l + 20; l = v + 17; g = i + 14; i = v + 1; w = s + 20; b = w + 18; s = g + 13; m = a + 11; p = b + 16; e = r + 8. If v = 13, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"e": "i + 7", "b": "e + 18", "a": "b + 17", "q": "a + 18", "p": "q + 2", "x": "p + 5", "g": "i + 6", "c": "g + 3", "j": "c + 7", "n": "j + 1", "f": "n + 19", "s": "f + 11", "i": 13}, "premises": {"i": 13}, "target": "x"}, "answer": {"steps": [["p", "q + 2", "q + 7"], ["q", "a + 18", "a + 25"], ["a", "b + 17", "b + 42"], ["b", "e + 18", "e + 60"], ["e", "i + 7", "i + 67"], ["i", 13, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"i": 13}, "is_reverse": true}}
| 5,049
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = a + 18; e = i + 7; s = f + 11; f = n + 19; p = q + 2; a = b + 17; c = g + 3; x = p + 5; n = j + 1; b = e + 18; g = i + 6; i = 13; j = c + 7. If i = 13, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 2 to x, which gives x = q + 7.\n2. Substitute q = a + 18 to x, which gives x = a + 25.\n3. Substitute a = b + 17 to x, which gives x = b + 42.\n4. Substitute b = e + 18 to x, which gives x = e + 60.\n5. Substitute e = i + 7 to x, which gives x = i + 67.\n6. Substitute i = 13 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 5049,
"question": "Consider a system of variables where each variable is defined as follows: q = a + 18; e = i + 7; s = f + 11; f = n + 19; p = q + 2; a = b + 17; c = g + 3; x = p + 5; n = j + 1; b = e + 18; g = i + 6; i = 13; j = c + 7. If i = 13, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"w": "v + 5", "o": "w + 17", "t": "o + 15", "f": "t + 7", "d": "f + 12", "h": "d + 12", "q": "v + 10", "p": "q + 7", "r": "p + 12", "n": "r + 13", "i": "n + 20", "e": "i + 12", "v": 19}, "premises": {"v": 19}, "target": "h"}, "answer": {"steps": [["d", "f + 12", "f + 24"], ["f", "t + 7", "t + 31"], ["t", "o + 15", "o + 46"], ["o", "w + 17", "w + 63"], ["w", "v + 5", "v + 68"], ["v", 19, "87"]], "target_var_name": "h", "target_value": 87, "value_dict": {"v": 19}, "is_reverse": true}}
| 5,050
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = w + 17; w = v + 5; n = r + 13; d = f + 12; r = p + 12; e = i + 12; t = o + 15; q = v + 10; p = q + 7; h = d + 12; i = n + 20; f = t + 7; v = 19. Given that v = 19, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 12 to h, which gives h = f + 24.\n2. Substitute f = t + 7 to h, which gives h = t + 31.\n3. Substitute t = o + 15 to h, which gives h = o + 46.\n4. Substitute o = w + 17 to h, which gives h = w + 63.\n5. Substitute w = v + 5 to h, which gives h = v + 68.\n6. Substitute v = 19 to h, which gives h = 87.\n\nThus, the final answer is h = \\boxed{87}.",
"index": 5050,
"question": "Suppose a collection of variables is related by the following definitions: o = w + 17; w = v + 5; n = r + 13; d = f + 12; r = p + 12; e = i + 12; t = o + 15; q = v + 10; p = q + 7; h = d + 12; i = n + 20; f = t + 7; v = 19. Given that v = 19, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"d": "u + 15", "o": "d + 2", "p": "o + 18", "a": "p + 8", "r": "a + 2", "f": "r + 13", "c": "u + 19", "v": "c + 20", "g": "v + 4", "e": "g + 20", "j": "e + 5", "k": "j + 10", "u": 3}, "premises": {"u": 3}, "target": "f"}, "answer": {"steps": [["r", "a + 2", "a + 15"], ["a", "p + 8", "p + 23"], ["p", "o + 18", "o + 41"], ["o", "d + 2", "d + 43"], ["d", "u + 15", "u + 58"], ["u", 3, "61"]], "target_var_name": "f", "target_value": 61, "value_dict": {"u": 3}, "is_reverse": true}}
| 5,051
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = j + 10; r = a + 2; e = g + 20; u = 3; o = d + 2; g = v + 4; f = r + 13; p = o + 18; j = e + 5; v = c + 20; c = u + 19; d = u + 15; a = p + 8. Given that u = 3, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 2 to f, which gives f = a + 15.\n2. Substitute a = p + 8 to f, which gives f = p + 23.\n3. Substitute p = o + 18 to f, which gives f = o + 41.\n4. Substitute o = d + 2 to f, which gives f = d + 43.\n5. Substitute d = u + 15 to f, which gives f = u + 58.\n6. Substitute u = 3 to f, which gives f = 61.\n\nThus, the final answer is f = \\boxed{61}.",
"index": 5051,
"question": "Suppose a collection of variables is related by the following definitions: k = j + 10; r = a + 2; e = g + 20; u = 3; o = d + 2; g = v + 4; f = r + 13; p = o + 18; j = e + 5; v = c + 20; c = u + 19; d = u + 15; a = p + 8. Given that u = 3, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"p": "f + 6", "l": "p + 6", "e": "l + 18", "r": "e + 1", "d": "r + 14", "o": "d + 9", "u": "f + 10", "c": "u + 13", "a": "c + 3", "v": "a + 12", "b": "v + 18", "n": "b + 15", "f": 11}, "premises": {"f": 11}, "target": "o"}, "answer": {"steps": [["d", "r + 14", "r + 23"], ["r", "e + 1", "e + 24"], ["e", "l + 18", "l + 42"], ["l", "p + 6", "p + 48"], ["p", "f + 6", "f + 54"], ["f", 11, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"f": 11}, "is_reverse": true}}
| 5,052
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = a + 12; d = r + 14; n = b + 15; a = c + 3; c = u + 13; p = f + 6; f = 11; r = e + 1; u = f + 10; b = v + 18; e = l + 18; l = p + 6; o = d + 9. Given that f = 11, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 14 to o, which gives o = r + 23.\n2. Substitute r = e + 1 to o, which gives o = e + 24.\n3. Substitute e = l + 18 to o, which gives o = l + 42.\n4. Substitute l = p + 6 to o, which gives o = p + 48.\n5. Substitute p = f + 6 to o, which gives o = f + 54.\n6. Substitute f = 11 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 5052,
"question": "Suppose a collection of variables is related by the following definitions: v = a + 12; d = r + 14; n = b + 15; a = c + 3; c = u + 13; p = f + 6; f = 11; r = e + 1; u = f + 10; b = v + 18; e = l + 18; l = p + 6; o = d + 9. Given that f = 11, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"s": "y + 15", "h": "s + 8", "o": "h + 9", "l": "o + 12", "e": "l + 1", "b": "e + 19", "n": "y + 3", "q": "n + 13", "c": "q + 20", "w": "c + 16", "m": "w + 20", "u": "m + 4", "y": 13}, "premises": {"y": 13}, "target": "b"}, "answer": {"steps": [["e", "l + 1", "l + 20"], ["l", "o + 12", "o + 32"], ["o", "h + 9", "h + 41"], ["h", "s + 8", "s + 49"], ["s", "y + 15", "y + 64"], ["y", 13, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"y": 13}, "is_reverse": true}}
| 5,053
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = h + 9; b = e + 19; y = 13; c = q + 20; s = y + 15; m = w + 20; q = n + 13; e = l + 1; w = c + 16; n = y + 3; l = o + 12; h = s + 8; u = m + 4. Given that y = 13, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 1 to b, which gives b = l + 20.\n2. Substitute l = o + 12 to b, which gives b = o + 32.\n3. Substitute o = h + 9 to b, which gives b = h + 41.\n4. Substitute h = s + 8 to b, which gives b = s + 49.\n5. Substitute s = y + 15 to b, which gives b = y + 64.\n6. Substitute y = 13 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 5053,
"question": "Suppose a collection of variables is related by the following definitions: o = h + 9; b = e + 19; y = 13; c = q + 20; s = y + 15; m = w + 20; q = n + 13; e = l + 1; w = c + 16; n = y + 3; l = o + 12; h = s + 8; u = m + 4. Given that y = 13, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"r": "l + 14", "q": "r + 16", "b": "q + 11", "o": "b + 20", "j": "o + 4", "k": "j + 18", "h": "l + 17", "u": "h + 5", "i": "u + 15", "t": "i + 3", "z": "t + 18", "x": "z + 14", "l": 19}, "premises": {"l": 19}, "target": "k"}, "answer": {"steps": [["j", "o + 4", "o + 22"], ["o", "b + 20", "b + 42"], ["b", "q + 11", "q + 53"], ["q", "r + 16", "r + 69"], ["r", "l + 14", "l + 83"], ["l", 19, "102"]], "target_var_name": "k", "target_value": 102, "value_dict": {"l": 19}, "is_reverse": true}}
| 5,054
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = l + 17; q = r + 16; z = t + 18; j = o + 4; r = l + 14; x = z + 14; t = i + 3; k = j + 18; b = q + 11; o = b + 20; l = 19; u = h + 5; i = u + 15. If l = 19, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 4 to k, which gives k = o + 22.\n2. Substitute o = b + 20 to k, which gives k = b + 42.\n3. Substitute b = q + 11 to k, which gives k = q + 53.\n4. Substitute q = r + 16 to k, which gives k = r + 69.\n5. Substitute r = l + 14 to k, which gives k = l + 83.\n6. Substitute l = 19 to k, which gives k = 102.\n\nThus, the final answer is k = \\boxed{102}.",
"index": 5054,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = l + 17; q = r + 16; z = t + 18; j = o + 4; r = l + 14; x = z + 14; t = i + 3; k = j + 18; b = q + 11; o = b + 20; l = 19; u = h + 5; i = u + 15. If l = 19, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"p": "g + 7", "r": "p + 9", "w": "r + 19", "l": "w + 15", "x": "l + 13", "i": "x + 2", "o": "g + 3", "f": "o + 18", "k": "f + 1", "m": "k + 3", "b": "m + 8", "e": "b + 19", "g": 8}, "premises": {"g": 8}, "target": "i"}, "answer": {"steps": [["x", "l + 13", "l + 15"], ["l", "w + 15", "w + 30"], ["w", "r + 19", "r + 49"], ["r", "p + 9", "p + 58"], ["p", "g + 7", "g + 65"], ["g", 8, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"g": 8}, "is_reverse": true}}
| 5,055
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = o + 18; w = r + 19; x = l + 13; m = k + 3; l = w + 15; k = f + 1; p = g + 7; e = b + 19; r = p + 9; i = x + 2; b = m + 8; g = 8; o = g + 3. Given that g = 8, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 13 to i, which gives i = l + 15.\n2. Substitute l = w + 15 to i, which gives i = w + 30.\n3. Substitute w = r + 19 to i, which gives i = r + 49.\n4. Substitute r = p + 9 to i, which gives i = p + 58.\n5. Substitute p = g + 7 to i, which gives i = g + 65.\n6. Substitute g = 8 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 5055,
"question": "Suppose a collection of variables is related by the following definitions: f = o + 18; w = r + 19; x = l + 13; m = k + 3; l = w + 15; k = f + 1; p = g + 7; e = b + 19; r = p + 9; i = x + 2; b = m + 8; g = 8; o = g + 3. Given that g = 8, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"r": "m + 14", "x": "r + 8", "s": "x + 1", "o": "s + 9", "d": "o + 6", "q": "d + 3", "n": "m + 5", "z": "n + 1", "w": "z + 17", "c": "w + 5", "j": "c + 14", "t": "j + 14", "m": 8}, "premises": {"m": 8}, "target": "q"}, "answer": {"steps": [["d", "o + 6", "o + 9"], ["o", "s + 9", "s + 18"], ["s", "x + 1", "x + 19"], ["x", "r + 8", "r + 27"], ["r", "m + 14", "m + 41"], ["m", 8, "49"]], "target_var_name": "q", "target_value": 49, "value_dict": {"m": 8}, "is_reverse": true}}
| 5,056
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = j + 14; d = o + 6; q = d + 3; j = c + 14; o = s + 9; x = r + 8; c = w + 5; s = x + 1; m = 8; z = n + 1; r = m + 14; w = z + 17; n = m + 5. Given that m = 8, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 6 to q, which gives q = o + 9.\n2. Substitute o = s + 9 to q, which gives q = s + 18.\n3. Substitute s = x + 1 to q, which gives q = x + 19.\n4. Substitute x = r + 8 to q, which gives q = r + 27.\n5. Substitute r = m + 14 to q, which gives q = m + 41.\n6. Substitute m = 8 to q, which gives q = 49.\n\nThus, the final answer is q = \\boxed{49}.",
"index": 5056,
"question": "Suppose a collection of variables is related by the following definitions: t = j + 14; d = o + 6; q = d + 3; j = c + 14; o = s + 9; x = r + 8; c = w + 5; s = x + 1; m = 8; z = n + 1; r = m + 14; w = z + 17; n = m + 5. Given that m = 8, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"j": "b + 17", "f": "j + 8", "i": "f + 10", "v": "i + 1", "w": "v + 16", "h": "w + 12", "s": "b + 9", "e": "s + 5", "n": "e + 1", "p": "n + 19", "g": "p + 13", "r": "g + 7", "b": 20}, "premises": {"b": 20}, "target": "h"}, "answer": {"steps": [["w", "v + 16", "v + 28"], ["v", "i + 1", "i + 29"], ["i", "f + 10", "f + 39"], ["f", "j + 8", "j + 47"], ["j", "b + 17", "b + 64"], ["b", 20, "84"]], "target_var_name": "h", "target_value": 84, "value_dict": {"b": 20}, "is_reverse": true}}
| 5,057
| 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 = b + 17; f = j + 8; b = 20; w = v + 16; g = p + 13; r = g + 7; n = e + 1; s = b + 9; h = w + 12; p = n + 19; i = f + 10; v = i + 1; e = s + 5. If b = 20, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 16 to h, which gives h = v + 28.\n2. Substitute v = i + 1 to h, which gives h = i + 29.\n3. Substitute i = f + 10 to h, which gives h = f + 39.\n4. Substitute f = j + 8 to h, which gives h = j + 47.\n5. Substitute j = b + 17 to h, which gives h = b + 64.\n6. Substitute b = 20 to h, which gives h = 84.\n\nThus, the final answer is h = \\boxed{84}.",
"index": 5057,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = b + 17; f = j + 8; b = 20; w = v + 16; g = p + 13; r = g + 7; n = e + 1; s = b + 9; h = w + 12; p = n + 19; i = f + 10; v = i + 1; e = s + 5. If b = 20, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"g": "c + 19", "y": "g + 13", "h": "y + 20", "s": "h + 2", "o": "s + 17", "l": "o + 5", "r": "c + 8", "d": "r + 18", "m": "d + 11", "t": "m + 15", "u": "t + 10", "z": "u + 12", "c": 1}, "premises": {"c": 1}, "target": "l"}, "answer": {"steps": [["o", "s + 17", "s + 22"], ["s", "h + 2", "h + 24"], ["h", "y + 20", "y + 44"], ["y", "g + 13", "g + 57"], ["g", "c + 19", "c + 76"], ["c", 1, "77"]], "target_var_name": "l", "target_value": 77, "value_dict": {"c": 1}, "is_reverse": true}}
| 5,058
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = u + 12; h = y + 20; u = t + 10; g = c + 19; o = s + 17; y = g + 13; d = r + 18; c = 1; m = d + 11; t = m + 15; l = o + 5; r = c + 8; s = h + 2. If c = 1, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 17 to l, which gives l = s + 22.\n2. Substitute s = h + 2 to l, which gives l = h + 24.\n3. Substitute h = y + 20 to l, which gives l = y + 44.\n4. Substitute y = g + 13 to l, which gives l = g + 57.\n5. Substitute g = c + 19 to l, which gives l = c + 76.\n6. Substitute c = 1 to l, which gives l = 77.\n\nThus, the final answer is l = \\boxed{77}.",
"index": 5058,
"question": "Consider a system of variables where each variable is defined as follows: z = u + 12; h = y + 20; u = t + 10; g = c + 19; o = s + 17; y = g + 13; d = r + 18; c = 1; m = d + 11; t = m + 15; l = o + 5; r = c + 8; s = h + 2. If c = 1, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"q": "l + 8", "t": "q + 2", "b": "t + 18", "p": "b + 17", "g": "p + 20", "e": "g + 6", "o": "l + 3", "y": "o + 3", "s": "y + 16", "r": "s + 16", "a": "r + 17", "f": "a + 19", "l": 19}, "premises": {"l": 19}, "target": "e"}, "answer": {"steps": [["g", "p + 20", "p + 26"], ["p", "b + 17", "b + 43"], ["b", "t + 18", "t + 61"], ["t", "q + 2", "q + 63"], ["q", "l + 8", "l + 71"], ["l", 19, "90"]], "target_var_name": "e", "target_value": 90, "value_dict": {"l": 19}, "is_reverse": true}}
| 5,059
| 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 = b + 17; g = p + 20; b = t + 18; s = y + 16; f = a + 19; q = l + 8; r = s + 16; y = o + 3; o = l + 3; e = g + 6; l = 19; t = q + 2; a = r + 17. If l = 19, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 20 to e, which gives e = p + 26.\n2. Substitute p = b + 17 to e, which gives e = b + 43.\n3. Substitute b = t + 18 to e, which gives e = t + 61.\n4. Substitute t = q + 2 to e, which gives e = q + 63.\n5. Substitute q = l + 8 to e, which gives e = l + 71.\n6. Substitute l = 19 to e, which gives e = 90.\n\nThus, the final answer is e = \\boxed{90}.",
"index": 5059,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = b + 17; g = p + 20; b = t + 18; s = y + 16; f = a + 19; q = l + 8; r = s + 16; y = o + 3; o = l + 3; e = g + 6; l = 19; t = q + 2; a = r + 17. If l = 19, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"d": "g + 7", "i": "d + 15", "c": "i + 2", "n": "c + 4", "e": "n + 9", "h": "e + 15", "u": "g + 3", "p": "u + 8", "x": "p + 7", "t": "x + 14", "z": "t + 9", "o": "z + 4", "g": 6}, "premises": {"g": 6}, "target": "h"}, "answer": {"steps": [["e", "n + 9", "n + 24"], ["n", "c + 4", "c + 28"], ["c", "i + 2", "i + 30"], ["i", "d + 15", "d + 45"], ["d", "g + 7", "g + 52"], ["g", 6, "58"]], "target_var_name": "h", "target_value": 58, "value_dict": {"g": 6}, "is_reverse": true}}
| 5,060
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = z + 4; c = i + 2; d = g + 7; p = u + 8; n = c + 4; x = p + 7; g = 6; t = x + 14; h = e + 15; z = t + 9; e = n + 9; i = d + 15; u = g + 3. If g = 6, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 9 to h, which gives h = n + 24.\n2. Substitute n = c + 4 to h, which gives h = c + 28.\n3. Substitute c = i + 2 to h, which gives h = i + 30.\n4. Substitute i = d + 15 to h, which gives h = d + 45.\n5. Substitute d = g + 7 to h, which gives h = g + 52.\n6. Substitute g = 6 to h, which gives h = 58.\n\nThus, the final answer is h = \\boxed{58}.",
"index": 5060,
"question": "Consider a system of variables where each variable is defined as follows: o = z + 4; c = i + 2; d = g + 7; p = u + 8; n = c + 4; x = p + 7; g = 6; t = x + 14; h = e + 15; z = t + 9; e = n + 9; i = d + 15; u = g + 3. If g = 6, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"j": "b + 11", "f": "j + 4", "q": "f + 4", "c": "q + 17", "x": "c + 20", "p": "x + 19", "w": "b + 12", "a": "w + 18", "h": "a + 8", "t": "h + 9", "z": "t + 18", "y": "z + 7", "b": 13}, "premises": {"b": 13}, "target": "p"}, "answer": {"steps": [["x", "c + 20", "c + 39"], ["c", "q + 17", "q + 56"], ["q", "f + 4", "f + 60"], ["f", "j + 4", "j + 64"], ["j", "b + 11", "b + 75"], ["b", 13, "88"]], "target_var_name": "p", "target_value": 88, "value_dict": {"b": 13}, "is_reverse": true}}
| 5,061
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = 13; h = a + 8; x = c + 20; a = w + 18; t = h + 9; p = x + 19; q = f + 4; j = b + 11; c = q + 17; z = t + 18; f = j + 4; w = b + 12; y = z + 7. If b = 13, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 20 to p, which gives p = c + 39.\n2. Substitute c = q + 17 to p, which gives p = q + 56.\n3. Substitute q = f + 4 to p, which gives p = f + 60.\n4. Substitute f = j + 4 to p, which gives p = j + 64.\n5. Substitute j = b + 11 to p, which gives p = b + 75.\n6. Substitute b = 13 to p, which gives p = 88.\n\nThus, the final answer is p = \\boxed{88}.",
"index": 5061,
"question": "Consider a system of variables where each variable is defined as follows: b = 13; h = a + 8; x = c + 20; a = w + 18; t = h + 9; p = x + 19; q = f + 4; j = b + 11; c = q + 17; z = t + 18; f = j + 4; w = b + 12; y = z + 7. If b = 13, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"t": "e + 2", "f": "t + 1", "z": "f + 3", "r": "z + 11", "s": "r + 9", "y": "s + 14", "o": "e + 5", "v": "o + 9", "x": "v + 14", "u": "x + 19", "k": "u + 7", "b": "k + 4", "e": 3}, "premises": {"e": 3}, "target": "y"}, "answer": {"steps": [["s", "r + 9", "r + 23"], ["r", "z + 11", "z + 34"], ["z", "f + 3", "f + 37"], ["f", "t + 1", "t + 38"], ["t", "e + 2", "e + 40"], ["e", 3, "43"]], "target_var_name": "y", "target_value": 43, "value_dict": {"e": 3}, "is_reverse": true}}
| 5,062
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = f + 3; y = s + 14; r = z + 11; u = x + 19; e = 3; v = o + 9; s = r + 9; x = v + 14; k = u + 7; f = t + 1; b = k + 4; t = e + 2; o = e + 5. If e = 3, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 9 to y, which gives y = r + 23.\n2. Substitute r = z + 11 to y, which gives y = z + 34.\n3. Substitute z = f + 3 to y, which gives y = f + 37.\n4. Substitute f = t + 1 to y, which gives y = t + 38.\n5. Substitute t = e + 2 to y, which gives y = e + 40.\n6. Substitute e = 3 to y, which gives y = 43.\n\nThus, the final answer is y = \\boxed{43}.",
"index": 5062,
"question": "Consider a system of variables where each variable is defined as follows: z = f + 3; y = s + 14; r = z + 11; u = x + 19; e = 3; v = o + 9; s = r + 9; x = v + 14; k = u + 7; f = t + 1; b = k + 4; t = e + 2; o = e + 5. If e = 3, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"v": "b + 15", "c": "v + 4", "i": "c + 6", "u": "i + 5", "l": "u + 8", "e": "l + 13", "j": "b + 5", "t": "j + 8", "x": "t + 4", "n": "x + 4", "z": "n + 6", "a": "z + 13", "b": 5}, "premises": {"b": 5}, "target": "e"}, "answer": {"steps": [["l", "u + 8", "u + 21"], ["u", "i + 5", "i + 26"], ["i", "c + 6", "c + 32"], ["c", "v + 4", "v + 36"], ["v", "b + 15", "b + 51"], ["b", 5, "56"]], "target_var_name": "e", "target_value": 56, "value_dict": {"b": 5}, "is_reverse": true}}
| 5,063
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = b + 5; b = 5; i = c + 6; a = z + 13; e = l + 13; z = n + 6; n = x + 4; t = j + 8; v = b + 15; u = i + 5; c = v + 4; l = u + 8; x = t + 4. If b = 5, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 8 to e, which gives e = u + 21.\n2. Substitute u = i + 5 to e, which gives e = i + 26.\n3. Substitute i = c + 6 to e, which gives e = c + 32.\n4. Substitute c = v + 4 to e, which gives e = v + 36.\n5. Substitute v = b + 15 to e, which gives e = b + 51.\n6. Substitute b = 5 to e, which gives e = 56.\n\nThus, the final answer is e = \\boxed{56}.",
"index": 5063,
"question": "Consider a system of variables where each variable is defined as follows: j = b + 5; b = 5; i = c + 6; a = z + 13; e = l + 13; z = n + 6; n = x + 4; t = j + 8; v = b + 15; u = i + 5; c = v + 4; l = u + 8; x = t + 4. If b = 5, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"d": "s + 7", "a": "d + 13", "l": "a + 12", "b": "l + 11", "q": "b + 8", "o": "q + 9", "x": "s + 8", "u": "x + 14", "j": "u + 8", "e": "j + 14", "t": "e + 8", "f": "t + 3", "s": 7}, "premises": {"s": 7}, "target": "o"}, "answer": {"steps": [["q", "b + 8", "b + 17"], ["b", "l + 11", "l + 28"], ["l", "a + 12", "a + 40"], ["a", "d + 13", "d + 53"], ["d", "s + 7", "s + 60"], ["s", 7, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"s": 7}, "is_reverse": true}}
| 5,064
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = t + 3; b = l + 11; d = s + 7; l = a + 12; u = x + 14; q = b + 8; o = q + 9; s = 7; j = u + 8; a = d + 13; x = s + 8; e = j + 14; t = e + 8. If s = 7, 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 q = b + 8 to o, which gives o = b + 17.\n2. Substitute b = l + 11 to o, which gives o = l + 28.\n3. Substitute l = a + 12 to o, which gives o = a + 40.\n4. Substitute a = d + 13 to o, which gives o = d + 53.\n5. Substitute d = s + 7 to o, which gives o = s + 60.\n6. Substitute s = 7 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 5064,
"question": "Consider a system of variables where each variable is defined as follows: f = t + 3; b = l + 11; d = s + 7; l = a + 12; u = x + 14; q = b + 8; o = q + 9; s = 7; j = u + 8; a = d + 13; x = s + 8; e = j + 14; t = e + 8. If s = 7, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"y": "c + 2", "i": "y + 20", "j": "i + 12", "h": "j + 7", "l": "h + 5", "k": "l + 12", "p": "c + 1", "u": "p + 11", "x": "u + 17", "n": "x + 17", "d": "n + 1", "w": "d + 9", "c": 4}, "premises": {"c": 4}, "target": "k"}, "answer": {"steps": [["l", "h + 5", "h + 17"], ["h", "j + 7", "j + 24"], ["j", "i + 12", "i + 36"], ["i", "y + 20", "y + 56"], ["y", "c + 2", "c + 58"], ["c", 4, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"c": 4}, "is_reverse": true}}
| 5,065
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = j + 7; p = c + 1; l = h + 5; d = n + 1; k = l + 12; x = u + 17; j = i + 12; u = p + 11; w = d + 9; y = c + 2; n = x + 17; i = y + 20; c = 4. Given that c = 4, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 5 to k, which gives k = h + 17.\n2. Substitute h = j + 7 to k, which gives k = j + 24.\n3. Substitute j = i + 12 to k, which gives k = i + 36.\n4. Substitute i = y + 20 to k, which gives k = y + 56.\n5. Substitute y = c + 2 to k, which gives k = c + 58.\n6. Substitute c = 4 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 5065,
"question": "Suppose a collection of variables is related by the following definitions: h = j + 7; p = c + 1; l = h + 5; d = n + 1; k = l + 12; x = u + 17; j = i + 12; u = p + 11; w = d + 9; y = c + 2; n = x + 17; i = y + 20; c = 4. Given that c = 4, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"m": "d + 5", "x": "m + 17", "v": "x + 7", "c": "v + 15", "h": "c + 15", "k": "h + 18", "u": "d + 12", "l": "u + 11", "o": "l + 12", "g": "o + 12", "r": "g + 7", "p": "r + 11", "d": 6}, "premises": {"d": 6}, "target": "k"}, "answer": {"steps": [["h", "c + 15", "c + 33"], ["c", "v + 15", "v + 48"], ["v", "x + 7", "x + 55"], ["x", "m + 17", "m + 72"], ["m", "d + 5", "d + 77"], ["d", 6, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"d": 6}, "is_reverse": true}}
| 5,066
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = c + 15; l = u + 11; u = d + 12; x = m + 17; v = x + 7; p = r + 11; o = l + 12; k = h + 18; m = d + 5; c = v + 15; g = o + 12; d = 6; r = g + 7. Given that d = 6, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 15 to k, which gives k = c + 33.\n2. Substitute c = v + 15 to k, which gives k = v + 48.\n3. Substitute v = x + 7 to k, which gives k = x + 55.\n4. Substitute x = m + 17 to k, which gives k = m + 72.\n5. Substitute m = d + 5 to k, which gives k = d + 77.\n6. Substitute d = 6 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 5066,
"question": "Suppose a collection of variables is related by the following definitions: h = c + 15; l = u + 11; u = d + 12; x = m + 17; v = x + 7; p = r + 11; o = l + 12; k = h + 18; m = d + 5; c = v + 15; g = o + 12; d = 6; r = g + 7. Given that d = 6, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"b": "w + 4", "u": "b + 4", "s": "u + 7", "l": "s + 1", "e": "l + 2", "h": "e + 14", "i": "w + 3", "j": "i + 14", "f": "j + 3", "v": "f + 6", "c": "v + 18", "z": "c + 15", "w": 20}, "premises": {"w": 20}, "target": "h"}, "answer": {"steps": [["e", "l + 2", "l + 16"], ["l", "s + 1", "s + 17"], ["s", "u + 7", "u + 24"], ["u", "b + 4", "b + 28"], ["b", "w + 4", "w + 32"], ["w", 20, "52"]], "target_var_name": "h", "target_value": 52, "value_dict": {"w": 20}, "is_reverse": true}}
| 5,067
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = v + 18; s = u + 7; e = l + 2; j = i + 14; l = s + 1; u = b + 4; i = w + 3; z = c + 15; w = 20; v = f + 6; h = e + 14; f = j + 3; b = w + 4. If w = 20, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 2 to h, which gives h = l + 16.\n2. Substitute l = s + 1 to h, which gives h = s + 17.\n3. Substitute s = u + 7 to h, which gives h = u + 24.\n4. Substitute u = b + 4 to h, which gives h = b + 28.\n5. Substitute b = w + 4 to h, which gives h = w + 32.\n6. Substitute w = 20 to h, which gives h = 52.\n\nThus, the final answer is h = \\boxed{52}.",
"index": 5067,
"question": "Consider a system of variables where each variable is defined as follows: c = v + 18; s = u + 7; e = l + 2; j = i + 14; l = s + 1; u = b + 4; i = w + 3; z = c + 15; w = 20; v = f + 6; h = e + 14; f = j + 3; b = w + 4. If w = 20, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"u": "a + 2", "d": "u + 7", "b": "d + 9", "n": "b + 7", "v": "n + 19", "y": "v + 12", "c": "a + 2", "x": "c + 2", "r": "x + 8", "z": "r + 7", "q": "z + 20", "f": "q + 20", "a": 16}, "premises": {"a": 16}, "target": "y"}, "answer": {"steps": [["v", "n + 19", "n + 31"], ["n", "b + 7", "b + 38"], ["b", "d + 9", "d + 47"], ["d", "u + 7", "u + 54"], ["u", "a + 2", "a + 56"], ["a", 16, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"a": 16}, "is_reverse": true}}
| 5,068
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = c + 2; u = a + 2; a = 16; b = d + 9; y = v + 12; v = n + 19; r = x + 8; d = u + 7; n = b + 7; c = a + 2; z = r + 7; q = z + 20; f = q + 20. If a = 16, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 19 to y, which gives y = n + 31.\n2. Substitute n = b + 7 to y, which gives y = b + 38.\n3. Substitute b = d + 9 to y, which gives y = d + 47.\n4. Substitute d = u + 7 to y, which gives y = u + 54.\n5. Substitute u = a + 2 to y, which gives y = a + 56.\n6. Substitute a = 16 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 5068,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = c + 2; u = a + 2; a = 16; b = d + 9; y = v + 12; v = n + 19; r = x + 8; d = u + 7; n = b + 7; c = a + 2; z = r + 7; q = z + 20; f = q + 20. If a = 16, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"k": "y + 5", "b": "k + 19", "p": "b + 15", "u": "p + 15", "z": "u + 18", "c": "z + 1", "f": "y + 3", "s": "f + 3", "t": "s + 12", "e": "t + 4", "j": "e + 8", "w": "j + 15", "y": 10}, "premises": {"y": 10}, "target": "c"}, "answer": {"steps": [["z", "u + 18", "u + 19"], ["u", "p + 15", "p + 34"], ["p", "b + 15", "b + 49"], ["b", "k + 19", "k + 68"], ["k", "y + 5", "y + 73"], ["y", 10, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"y": 10}, "is_reverse": true}}
| 5,069
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = y + 3; z = u + 18; p = b + 15; b = k + 19; e = t + 4; t = s + 12; y = 10; j = e + 8; c = z + 1; k = y + 5; w = j + 15; u = p + 15; s = f + 3. Given that y = 10, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 18 to c, which gives c = u + 19.\n2. Substitute u = p + 15 to c, which gives c = p + 34.\n3. Substitute p = b + 15 to c, which gives c = b + 49.\n4. Substitute b = k + 19 to c, which gives c = k + 68.\n5. Substitute k = y + 5 to c, which gives c = y + 73.\n6. Substitute y = 10 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 5069,
"question": "Suppose a collection of variables is related by the following definitions: f = y + 3; z = u + 18; p = b + 15; b = k + 19; e = t + 4; t = s + 12; y = 10; j = e + 8; c = z + 1; k = y + 5; w = j + 15; u = p + 15; s = f + 3. Given that y = 10, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"x": "d + 5", "j": "x + 8", "u": "j + 10", "g": "u + 9", "b": "g + 17", "v": "b + 3", "t": "d + 18", "z": "t + 15", "f": "z + 16", "m": "f + 11", "q": "m + 16", "a": "q + 1", "d": 7}, "premises": {"d": 7}, "target": "v"}, "answer": {"steps": [["b", "g + 17", "g + 20"], ["g", "u + 9", "u + 29"], ["u", "j + 10", "j + 39"], ["j", "x + 8", "x + 47"], ["x", "d + 5", "d + 52"], ["d", 7, "59"]], "target_var_name": "v", "target_value": 59, "value_dict": {"d": 7}, "is_reverse": true}}
| 5,070
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 17; q = m + 16; u = j + 10; j = x + 8; m = f + 11; t = d + 18; g = u + 9; x = d + 5; v = b + 3; z = t + 15; f = z + 16; d = 7; a = q + 1. If d = 7, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 17 to v, which gives v = g + 20.\n2. Substitute g = u + 9 to v, which gives v = u + 29.\n3. Substitute u = j + 10 to v, which gives v = j + 39.\n4. Substitute j = x + 8 to v, which gives v = x + 47.\n5. Substitute x = d + 5 to v, which gives v = d + 52.\n6. Substitute d = 7 to v, which gives v = 59.\n\nThus, the final answer is v = \\boxed{59}.",
"index": 5070,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 17; q = m + 16; u = j + 10; j = x + 8; m = f + 11; t = d + 18; g = u + 9; x = d + 5; v = b + 3; z = t + 15; f = z + 16; d = 7; a = q + 1. If d = 7, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 16", "x": "c + 6", "o": "x + 3", "b": "o + 10", "p": "b + 12", "z": "p + 1", "w": "l + 8", "i": "w + 1", "q": "i + 14", "h": "q + 14", "e": "h + 7", "r": "e + 13", "l": 13}, "premises": {"l": 13}, "target": "z"}, "answer": {"steps": [["p", "b + 12", "b + 13"], ["b", "o + 10", "o + 23"], ["o", "x + 3", "x + 26"], ["x", "c + 6", "c + 32"], ["c", "l + 16", "l + 48"], ["l", 13, "61"]], "target_var_name": "z", "target_value": 61, "value_dict": {"l": 13}, "is_reverse": true}}
| 5,071
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = p + 1; p = b + 12; o = x + 3; l = 13; w = l + 8; x = c + 6; i = w + 1; c = l + 16; r = e + 13; e = h + 7; h = q + 14; q = i + 14; b = o + 10. If l = 13, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 12 to z, which gives z = b + 13.\n2. Substitute b = o + 10 to z, which gives z = o + 23.\n3. Substitute o = x + 3 to z, which gives z = x + 26.\n4. Substitute x = c + 6 to z, which gives z = c + 32.\n5. Substitute c = l + 16 to z, which gives z = l + 48.\n6. Substitute l = 13 to z, which gives z = 61.\n\nThus, the final answer is z = \\boxed{61}.",
"index": 5071,
"question": "Consider a system of variables where each variable is defined as follows: z = p + 1; p = b + 12; o = x + 3; l = 13; w = l + 8; x = c + 6; i = w + 1; c = l + 16; r = e + 13; e = h + 7; h = q + 14; q = i + 14; b = o + 10. If l = 13, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"i": "j + 19", "a": "i + 2", "k": "a + 13", "t": "k + 17", "n": "t + 19", "v": "n + 16", "r": "j + 3", "l": "r + 15", "e": "l + 4", "c": "e + 2", "s": "c + 2", "q": "s + 1", "j": 10}, "premises": {"j": 10}, "target": "v"}, "answer": {"steps": [["n", "t + 19", "t + 35"], ["t", "k + 17", "k + 52"], ["k", "a + 13", "a + 65"], ["a", "i + 2", "i + 67"], ["i", "j + 19", "j + 86"], ["j", 10, "96"]], "target_var_name": "v", "target_value": 96, "value_dict": {"j": 10}, "is_reverse": true}}
| 5,072
| 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 = s + 1; l = r + 15; v = n + 16; j = 10; t = k + 17; n = t + 19; e = l + 4; s = c + 2; c = e + 2; r = j + 3; k = a + 13; i = j + 19; a = i + 2. If j = 10, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 19 to v, which gives v = t + 35.\n2. Substitute t = k + 17 to v, which gives v = k + 52.\n3. Substitute k = a + 13 to v, which gives v = a + 65.\n4. Substitute a = i + 2 to v, which gives v = i + 67.\n5. Substitute i = j + 19 to v, which gives v = j + 86.\n6. Substitute j = 10 to v, which gives v = 96.\n\nThus, the final answer is v = \\boxed{96}.",
"index": 5072,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = s + 1; l = r + 15; v = n + 16; j = 10; t = k + 17; n = t + 19; e = l + 4; s = c + 2; c = e + 2; r = j + 3; k = a + 13; i = j + 19; a = i + 2. If j = 10, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"a": "p + 19", "w": "a + 10", "v": "w + 20", "i": "v + 2", "c": "i + 2", "k": "c + 5", "g": "p + 18", "u": "g + 19", "e": "u + 3", "s": "e + 8", "d": "s + 16", "x": "d + 17", "p": 12}, "premises": {"p": 12}, "target": "k"}, "answer": {"steps": [["c", "i + 2", "i + 7"], ["i", "v + 2", "v + 9"], ["v", "w + 20", "w + 29"], ["w", "a + 10", "a + 39"], ["a", "p + 19", "p + 58"], ["p", 12, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"p": 12}, "is_reverse": true}}
| 5,073
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = c + 5; v = w + 20; s = e + 8; g = p + 18; u = g + 19; w = a + 10; i = v + 2; a = p + 19; c = i + 2; p = 12; x = d + 17; e = u + 3; d = s + 16. Given that p = 12, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 2 to k, which gives k = i + 7.\n2. Substitute i = v + 2 to k, which gives k = v + 9.\n3. Substitute v = w + 20 to k, which gives k = w + 29.\n4. Substitute w = a + 10 to k, which gives k = a + 39.\n5. Substitute a = p + 19 to k, which gives k = p + 58.\n6. Substitute p = 12 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 5073,
"question": "Suppose a collection of variables is related by the following definitions: k = c + 5; v = w + 20; s = e + 8; g = p + 18; u = g + 19; w = a + 10; i = v + 2; a = p + 19; c = i + 2; p = 12; x = d + 17; e = u + 3; d = s + 16. Given that p = 12, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"t": "b + 11", "w": "t + 12", "k": "w + 14", "q": "k + 17", "m": "q + 9", "d": "m + 12", "x": "b + 11", "o": "x + 16", "y": "o + 14", "s": "y + 11", "c": "s + 5", "e": "c + 19", "b": 14}, "premises": {"b": 14}, "target": "d"}, "answer": {"steps": [["m", "q + 9", "q + 21"], ["q", "k + 17", "k + 38"], ["k", "w + 14", "w + 52"], ["w", "t + 12", "t + 64"], ["t", "b + 11", "b + 75"], ["b", 14, "89"]], "target_var_name": "d", "target_value": 89, "value_dict": {"b": 14}, "is_reverse": true}}
| 5,074
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = 14; w = t + 12; o = x + 16; c = s + 5; e = c + 19; y = o + 14; k = w + 14; t = b + 11; q = k + 17; d = m + 12; m = q + 9; x = b + 11; s = y + 11. If b = 14, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 9 to d, which gives d = q + 21.\n2. Substitute q = k + 17 to d, which gives d = k + 38.\n3. Substitute k = w + 14 to d, which gives d = w + 52.\n4. Substitute w = t + 12 to d, which gives d = t + 64.\n5. Substitute t = b + 11 to d, which gives d = b + 75.\n6. Substitute b = 14 to d, which gives d = 89.\n\nThus, the final answer is d = \\boxed{89}.",
"index": 5074,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = 14; w = t + 12; o = x + 16; c = s + 5; e = c + 19; y = o + 14; k = w + 14; t = b + 11; q = k + 17; d = m + 12; m = q + 9; x = b + 11; s = y + 11. If b = 14, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"x": "d + 13", "a": "x + 20", "n": "a + 10", "i": "n + 11", "c": "i + 16", "r": "c + 18", "b": "d + 14", "f": "b + 15", "t": "f + 18", "y": "t + 17", "k": "y + 15", "m": "k + 4", "d": 13}, "premises": {"d": 13}, "target": "r"}, "answer": {"steps": [["c", "i + 16", "i + 34"], ["i", "n + 11", "n + 45"], ["n", "a + 10", "a + 55"], ["a", "x + 20", "x + 75"], ["x", "d + 13", "d + 88"], ["d", 13, "101"]], "target_var_name": "r", "target_value": 101, "value_dict": {"d": 13}, "is_reverse": true}}
| 5,075
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = i + 16; r = c + 18; a = x + 20; i = n + 11; x = d + 13; t = f + 18; n = a + 10; d = 13; f = b + 15; m = k + 4; y = t + 17; b = d + 14; k = y + 15. Given that d = 13, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 16 to r, which gives r = i + 34.\n2. Substitute i = n + 11 to r, which gives r = n + 45.\n3. Substitute n = a + 10 to r, which gives r = a + 55.\n4. Substitute a = x + 20 to r, which gives r = x + 75.\n5. Substitute x = d + 13 to r, which gives r = d + 88.\n6. Substitute d = 13 to r, which gives r = 101.\n\nThus, the final answer is r = \\boxed{101}.",
"index": 5075,
"question": "Suppose a collection of variables is related by the following definitions: c = i + 16; r = c + 18; a = x + 20; i = n + 11; x = d + 13; t = f + 18; n = a + 10; d = 13; f = b + 15; m = k + 4; y = t + 17; b = d + 14; k = y + 15. Given that d = 13, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"q": "t + 8", "s": "q + 18", "i": "s + 1", "x": "i + 2", "a": "x + 9", "n": "a + 1", "o": "t + 12", "m": "o + 10", "p": "m + 7", "w": "p + 2", "b": "w + 7", "f": "b + 13", "t": 13}, "premises": {"t": 13}, "target": "n"}, "answer": {"steps": [["a", "x + 9", "x + 10"], ["x", "i + 2", "i + 12"], ["i", "s + 1", "s + 13"], ["s", "q + 18", "q + 31"], ["q", "t + 8", "t + 39"], ["t", 13, "52"]], "target_var_name": "n", "target_value": 52, "value_dict": {"t": 13}, "is_reverse": true}}
| 5,076
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = p + 2; a = x + 9; t = 13; f = b + 13; n = a + 1; s = q + 18; x = i + 2; o = t + 12; b = w + 7; i = s + 1; p = m + 7; m = o + 10; q = t + 8. Given that t = 13, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 9 to n, which gives n = x + 10.\n2. Substitute x = i + 2 to n, which gives n = i + 12.\n3. Substitute i = s + 1 to n, which gives n = s + 13.\n4. Substitute s = q + 18 to n, which gives n = q + 31.\n5. Substitute q = t + 8 to n, which gives n = t + 39.\n6. Substitute t = 13 to n, which gives n = 52.\n\nThus, the final answer is n = \\boxed{52}.",
"index": 5076,
"question": "Suppose a collection of variables is related by the following definitions: w = p + 2; a = x + 9; t = 13; f = b + 13; n = a + 1; s = q + 18; x = i + 2; o = t + 12; b = w + 7; i = s + 1; p = m + 7; m = o + 10; q = t + 8. Given that t = 13, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"g": "m + 1", "q": "g + 18", "i": "q + 19", "p": "i + 12", "u": "p + 16", "h": "u + 20", "v": "m + 16", "d": "v + 8", "w": "d + 12", "k": "w + 16", "z": "k + 3", "j": "z + 1", "m": 14}, "premises": {"m": 14}, "target": "h"}, "answer": {"steps": [["u", "p + 16", "p + 36"], ["p", "i + 12", "i + 48"], ["i", "q + 19", "q + 67"], ["q", "g + 18", "g + 85"], ["g", "m + 1", "m + 86"], ["m", 14, "100"]], "target_var_name": "h", "target_value": 100, "value_dict": {"m": 14}, "is_reverse": true}}
| 5,077
| 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 = q + 19; u = p + 16; q = g + 18; g = m + 1; d = v + 8; z = k + 3; p = i + 12; k = w + 16; m = 14; h = u + 20; v = m + 16; j = z + 1; w = d + 12. If m = 14, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 16 to h, which gives h = p + 36.\n2. Substitute p = i + 12 to h, which gives h = i + 48.\n3. Substitute i = q + 19 to h, which gives h = q + 67.\n4. Substitute q = g + 18 to h, which gives h = g + 85.\n5. Substitute g = m + 1 to h, which gives h = m + 86.\n6. Substitute m = 14 to h, which gives h = 100.\n\nThus, the final answer is h = \\boxed{100}.",
"index": 5077,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 19; u = p + 16; q = g + 18; g = m + 1; d = v + 8; z = k + 3; p = i + 12; k = w + 16; m = 14; h = u + 20; v = m + 16; j = z + 1; w = d + 12. If m = 14, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 19", "j": "m + 10", "l": "j + 10", "w": "l + 12", "a": "w + 9", "u": "a + 7", "k": "x + 8", "r": "k + 17", "e": "r + 4", "o": "e + 20", "i": "o + 20", "c": "i + 17", "x": 15}, "premises": {"x": 15}, "target": "u"}, "answer": {"steps": [["a", "w + 9", "w + 16"], ["w", "l + 12", "l + 28"], ["l", "j + 10", "j + 38"], ["j", "m + 10", "m + 48"], ["m", "x + 19", "x + 67"], ["x", 15, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"x": 15}, "is_reverse": true}}
| 5,078
| 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 = l + 12; k = x + 8; u = a + 7; o = e + 20; a = w + 9; l = j + 10; c = i + 17; i = o + 20; x = 15; m = x + 19; e = r + 4; j = m + 10; r = k + 17. If x = 15, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 9 to u, which gives u = w + 16.\n2. Substitute w = l + 12 to u, which gives u = l + 28.\n3. Substitute l = j + 10 to u, which gives u = j + 38.\n4. Substitute j = m + 10 to u, which gives u = m + 48.\n5. Substitute m = x + 19 to u, which gives u = x + 67.\n6. Substitute x = 15 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 5078,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = l + 12; k = x + 8; u = a + 7; o = e + 20; a = w + 9; l = j + 10; c = i + 17; i = o + 20; x = 15; m = x + 19; e = r + 4; j = m + 10; r = k + 17. If x = 15, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"n": "y + 6", "k": "n + 13", "s": "k + 7", "i": "s + 13", "h": "i + 3", "r": "h + 6", "o": "y + 14", "d": "o + 13", "b": "d + 5", "x": "b + 19", "t": "x + 18", "q": "t + 9", "y": 5}, "premises": {"y": 5}, "target": "r"}, "answer": {"steps": [["h", "i + 3", "i + 9"], ["i", "s + 13", "s + 22"], ["s", "k + 7", "k + 29"], ["k", "n + 13", "n + 42"], ["n", "y + 6", "y + 48"], ["y", 5, "53"]], "target_var_name": "r", "target_value": 53, "value_dict": {"y": 5}, "is_reverse": true}}
| 5,079
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = o + 13; q = t + 9; x = b + 19; s = k + 7; h = i + 3; y = 5; k = n + 13; b = d + 5; o = y + 14; t = x + 18; i = s + 13; r = h + 6; n = y + 6. If y = 5, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 3 to r, which gives r = i + 9.\n2. Substitute i = s + 13 to r, which gives r = s + 22.\n3. Substitute s = k + 7 to r, which gives r = k + 29.\n4. Substitute k = n + 13 to r, which gives r = n + 42.\n5. Substitute n = y + 6 to r, which gives r = y + 48.\n6. Substitute y = 5 to r, which gives r = 53.\n\nThus, the final answer is r = \\boxed{53}.",
"index": 5079,
"question": "Consider a system of variables where each variable is defined as follows: d = o + 13; q = t + 9; x = b + 19; s = k + 7; h = i + 3; y = 5; k = n + 13; b = d + 5; o = y + 14; t = x + 18; i = s + 13; r = h + 6; n = y + 6. If y = 5, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"p": "v + 20", "l": "p + 5", "w": "l + 6", "j": "w + 3", "s": "j + 8", "r": "s + 11", "c": "v + 4", "h": "c + 19", "z": "h + 4", "i": "z + 15", "m": "i + 3", "f": "m + 17", "v": 3}, "premises": {"v": 3}, "target": "r"}, "answer": {"steps": [["s", "j + 8", "j + 19"], ["j", "w + 3", "w + 22"], ["w", "l + 6", "l + 28"], ["l", "p + 5", "p + 33"], ["p", "v + 20", "v + 53"], ["v", 3, "56"]], "target_var_name": "r", "target_value": 56, "value_dict": {"v": 3}, "is_reverse": true}}
| 5,080
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = p + 5; h = c + 19; p = v + 20; r = s + 11; z = h + 4; c = v + 4; i = z + 15; j = w + 3; m = i + 3; w = l + 6; f = m + 17; s = j + 8; v = 3. If v = 3, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 8 to r, which gives r = j + 19.\n2. Substitute j = w + 3 to r, which gives r = w + 22.\n3. Substitute w = l + 6 to r, which gives r = l + 28.\n4. Substitute l = p + 5 to r, which gives r = p + 33.\n5. Substitute p = v + 20 to r, which gives r = v + 53.\n6. Substitute v = 3 to r, which gives r = 56.\n\nThus, the final answer is r = \\boxed{56}.",
"index": 5080,
"question": "Consider a system of variables where each variable is defined as follows: l = p + 5; h = c + 19; p = v + 20; r = s + 11; z = h + 4; c = v + 4; i = z + 15; j = w + 3; m = i + 3; w = l + 6; f = m + 17; s = j + 8; v = 3. If v = 3, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"y": "d + 7", "e": "y + 4", "m": "e + 16", "w": "m + 4", "f": "w + 17", "l": "f + 10", "p": "d + 14", "i": "p + 19", "o": "i + 11", "z": "o + 7", "t": "z + 8", "k": "t + 17", "d": 6}, "premises": {"d": 6}, "target": "l"}, "answer": {"steps": [["f", "w + 17", "w + 27"], ["w", "m + 4", "m + 31"], ["m", "e + 16", "e + 47"], ["e", "y + 4", "y + 51"], ["y", "d + 7", "d + 58"], ["d", 6, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"d": 6}, "is_reverse": true}}
| 5,081
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = m + 4; e = y + 4; i = p + 19; l = f + 10; t = z + 8; d = 6; z = o + 7; p = d + 14; f = w + 17; k = t + 17; y = d + 7; m = e + 16; o = i + 11. If d = 6, determine the 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 f = w + 17 to l, which gives l = w + 27.\n2. Substitute w = m + 4 to l, which gives l = m + 31.\n3. Substitute m = e + 16 to l, which gives l = e + 47.\n4. Substitute e = y + 4 to l, which gives l = y + 51.\n5. Substitute y = d + 7 to l, which gives l = d + 58.\n6. Substitute d = 6 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 5081,
"question": "Consider a system of variables where each variable is defined as follows: w = m + 4; e = y + 4; i = p + 19; l = f + 10; t = z + 8; d = 6; z = o + 7; p = d + 14; f = w + 17; k = t + 17; y = d + 7; m = e + 16; o = i + 11. If d = 6, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"k": "u + 1", "w": "k + 11", "c": "w + 10", "x": "c + 1", "z": "x + 9", "h": "z + 1", "s": "u + 1", "r": "s + 18", "a": "r + 17", "n": "a + 6", "m": "n + 4", "t": "m + 8", "u": 7}, "premises": {"u": 7}, "target": "h"}, "answer": {"steps": [["z", "x + 9", "x + 10"], ["x", "c + 1", "c + 11"], ["c", "w + 10", "w + 21"], ["w", "k + 11", "k + 32"], ["k", "u + 1", "u + 33"], ["u", 7, "40"]], "target_var_name": "h", "target_value": 40, "value_dict": {"u": 7}, "is_reverse": true}}
| 5,082
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = c + 1; a = r + 17; c = w + 10; s = u + 1; h = z + 1; u = 7; n = a + 6; z = x + 9; m = n + 4; t = m + 8; k = u + 1; w = k + 11; r = s + 18. Given that u = 7, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 9 to h, which gives h = x + 10.\n2. Substitute x = c + 1 to h, which gives h = c + 11.\n3. Substitute c = w + 10 to h, which gives h = w + 21.\n4. Substitute w = k + 11 to h, which gives h = k + 32.\n5. Substitute k = u + 1 to h, which gives h = u + 33.\n6. Substitute u = 7 to h, which gives h = 40.\n\nThus, the final answer is h = \\boxed{40}.",
"index": 5082,
"question": "Suppose a collection of variables is related by the following definitions: x = c + 1; a = r + 17; c = w + 10; s = u + 1; h = z + 1; u = 7; n = a + 6; z = x + 9; m = n + 4; t = m + 8; k = u + 1; w = k + 11; r = s + 18. Given that u = 7, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"u": "n + 18", "i": "u + 13", "b": "i + 9", "w": "b + 20", "c": "w + 3", "h": "c + 7", "o": "n + 12", "a": "o + 17", "s": "a + 13", "j": "s + 6", "y": "j + 11", "r": "y + 11", "n": 13}, "premises": {"n": 13}, "target": "h"}, "answer": {"steps": [["c", "w + 3", "w + 10"], ["w", "b + 20", "b + 30"], ["b", "i + 9", "i + 39"], ["i", "u + 13", "u + 52"], ["u", "n + 18", "n + 70"], ["n", 13, "83"]], "target_var_name": "h", "target_value": 83, "value_dict": {"n": 13}, "is_reverse": true}}
| 5,083
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = y + 11; h = c + 7; u = n + 18; a = o + 17; i = u + 13; w = b + 20; y = j + 11; c = w + 3; s = a + 13; o = n + 12; b = i + 9; n = 13; j = s + 6. Given that n = 13, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 3 to h, which gives h = w + 10.\n2. Substitute w = b + 20 to h, which gives h = b + 30.\n3. Substitute b = i + 9 to h, which gives h = i + 39.\n4. Substitute i = u + 13 to h, which gives h = u + 52.\n5. Substitute u = n + 18 to h, which gives h = n + 70.\n6. Substitute n = 13 to h, which gives h = 83.\n\nThus, the final answer is h = \\boxed{83}.",
"index": 5083,
"question": "Suppose a collection of variables is related by the following definitions: r = y + 11; h = c + 7; u = n + 18; a = o + 17; i = u + 13; w = b + 20; y = j + 11; c = w + 3; s = a + 13; o = n + 12; b = i + 9; n = 13; j = s + 6. Given that n = 13, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"v": "c + 8", "f": "v + 11", "h": "f + 14", "a": "h + 13", "q": "a + 4", "o": "q + 12", "n": "c + 9", "b": "n + 13", "y": "b + 20", "e": "y + 19", "u": "e + 7", "s": "u + 20", "c": 3}, "premises": {"c": 3}, "target": "o"}, "answer": {"steps": [["q", "a + 4", "a + 16"], ["a", "h + 13", "h + 29"], ["h", "f + 14", "f + 43"], ["f", "v + 11", "v + 54"], ["v", "c + 8", "c + 62"], ["c", 3, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"c": 3}, "is_reverse": true}}
| 5,084
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = c + 9; a = h + 13; q = a + 4; s = u + 20; h = f + 14; o = q + 12; y = b + 20; c = 3; e = y + 19; v = c + 8; b = n + 13; u = e + 7; f = v + 11. If c = 3, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 4 to o, which gives o = a + 16.\n2. Substitute a = h + 13 to o, which gives o = h + 29.\n3. Substitute h = f + 14 to o, which gives o = f + 43.\n4. Substitute f = v + 11 to o, which gives o = v + 54.\n5. Substitute v = c + 8 to o, which gives o = c + 62.\n6. Substitute c = 3 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 5084,
"question": "Consider a system of variables where each variable is defined as follows: n = c + 9; a = h + 13; q = a + 4; s = u + 20; h = f + 14; o = q + 12; y = b + 20; c = 3; e = y + 19; v = c + 8; b = n + 13; u = e + 7; f = v + 11. If c = 3, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"g": "i + 12", "m": "g + 9", "b": "m + 11", "q": "b + 18", "c": "q + 2", "y": "c + 3", "e": "i + 16", "u": "e + 4", "l": "u + 13", "w": "l + 13", "r": "w + 18", "v": "r + 10", "i": 17}, "premises": {"i": 17}, "target": "y"}, "answer": {"steps": [["c", "q + 2", "q + 5"], ["q", "b + 18", "b + 23"], ["b", "m + 11", "m + 34"], ["m", "g + 9", "g + 43"], ["g", "i + 12", "i + 55"], ["i", 17, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"i": 17}, "is_reverse": true}}
| 5,085
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = i + 12; w = l + 13; q = b + 18; c = q + 2; v = r + 10; l = u + 13; i = 17; b = m + 11; u = e + 4; m = g + 9; e = i + 16; r = w + 18; y = c + 3. If i = 17, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 2 to y, which gives y = q + 5.\n2. Substitute q = b + 18 to y, which gives y = b + 23.\n3. Substitute b = m + 11 to y, which gives y = m + 34.\n4. Substitute m = g + 9 to y, which gives y = g + 43.\n5. Substitute g = i + 12 to y, which gives y = i + 55.\n6. Substitute i = 17 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 5085,
"question": "Consider a system of variables where each variable is defined as follows: g = i + 12; w = l + 13; q = b + 18; c = q + 2; v = r + 10; l = u + 13; i = 17; b = m + 11; u = e + 4; m = g + 9; e = i + 16; r = w + 18; y = c + 3. If i = 17, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"l": "b + 20", "x": "l + 15", "i": "x + 12", "r": "i + 2", "a": "r + 16", "h": "a + 19", "f": "b + 12", "p": "f + 6", "w": "p + 18", "q": "w + 19", "u": "q + 15", "y": "u + 17", "b": 9}, "premises": {"b": 9}, "target": "h"}, "answer": {"steps": [["a", "r + 16", "r + 35"], ["r", "i + 2", "i + 37"], ["i", "x + 12", "x + 49"], ["x", "l + 15", "l + 64"], ["l", "b + 20", "b + 84"], ["b", 9, "93"]], "target_var_name": "h", "target_value": 93, "value_dict": {"b": 9}, "is_reverse": true}}
| 5,086
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = b + 20; b = 9; q = w + 19; p = f + 6; i = x + 12; f = b + 12; a = r + 16; u = q + 15; h = a + 19; x = l + 15; y = u + 17; r = i + 2; w = p + 18. Given that b = 9, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 16 to h, which gives h = r + 35.\n2. Substitute r = i + 2 to h, which gives h = i + 37.\n3. Substitute i = x + 12 to h, which gives h = x + 49.\n4. Substitute x = l + 15 to h, which gives h = l + 64.\n5. Substitute l = b + 20 to h, which gives h = b + 84.\n6. Substitute b = 9 to h, which gives h = 93.\n\nThus, the final answer is h = \\boxed{93}.",
"index": 5086,
"question": "Suppose a collection of variables is related by the following definitions: l = b + 20; b = 9; q = w + 19; p = f + 6; i = x + 12; f = b + 12; a = r + 16; u = q + 15; h = a + 19; x = l + 15; y = u + 17; r = i + 2; w = p + 18. Given that b = 9, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"a": "r + 7", "b": "a + 17", "g": "b + 18", "x": "g + 14", "c": "x + 6", "u": "c + 17", "e": "r + 18", "k": "e + 14", "j": "k + 11", "o": "j + 17", "v": "o + 18", "p": "v + 6", "r": 2}, "premises": {"r": 2}, "target": "u"}, "answer": {"steps": [["c", "x + 6", "x + 23"], ["x", "g + 14", "g + 37"], ["g", "b + 18", "b + 55"], ["b", "a + 17", "a + 72"], ["a", "r + 7", "r + 79"], ["r", 2, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"r": 2}, "is_reverse": true}}
| 5,087
| 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 = e + 14; b = a + 17; p = v + 6; r = 2; u = c + 17; j = k + 11; o = j + 17; v = o + 18; c = x + 6; x = g + 14; e = r + 18; a = r + 7; g = b + 18. If r = 2, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 6 to u, which gives u = x + 23.\n2. Substitute x = g + 14 to u, which gives u = g + 37.\n3. Substitute g = b + 18 to u, which gives u = b + 55.\n4. Substitute b = a + 17 to u, which gives u = a + 72.\n5. Substitute a = r + 7 to u, which gives u = r + 79.\n6. Substitute r = 2 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 5087,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 14; b = a + 17; p = v + 6; r = 2; u = c + 17; j = k + 11; o = j + 17; v = o + 18; c = x + 6; x = g + 14; e = r + 18; a = r + 7; g = b + 18. If r = 2, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"v": "f + 19", "u": "v + 10", "t": "u + 18", "o": "t + 8", "w": "o + 17", "x": "w + 18", "h": "f + 20", "q": "h + 1", "c": "q + 20", "z": "c + 3", "s": "z + 12", "k": "s + 13", "f": 1}, "premises": {"f": 1}, "target": "x"}, "answer": {"steps": [["w", "o + 17", "o + 35"], ["o", "t + 8", "t + 43"], ["t", "u + 18", "u + 61"], ["u", "v + 10", "v + 71"], ["v", "f + 19", "f + 90"], ["f", 1, "91"]], "target_var_name": "x", "target_value": 91, "value_dict": {"f": 1}, "is_reverse": true}}
| 5,088
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = h + 1; v = f + 19; c = q + 20; k = s + 13; s = z + 12; f = 1; x = w + 18; z = c + 3; h = f + 20; u = v + 10; t = u + 18; o = t + 8; w = o + 17. Given that f = 1, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 17 to x, which gives x = o + 35.\n2. Substitute o = t + 8 to x, which gives x = t + 43.\n3. Substitute t = u + 18 to x, which gives x = u + 61.\n4. Substitute u = v + 10 to x, which gives x = v + 71.\n5. Substitute v = f + 19 to x, which gives x = f + 90.\n6. Substitute f = 1 to x, which gives x = 91.\n\nThus, the final answer is x = \\boxed{91}.",
"index": 5088,
"question": "Suppose a collection of variables is related by the following definitions: q = h + 1; v = f + 19; c = q + 20; k = s + 13; s = z + 12; f = 1; x = w + 18; z = c + 3; h = f + 20; u = v + 10; t = u + 18; o = t + 8; w = o + 17. Given that f = 1, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"l": "z + 11", "i": "l + 20", "b": "i + 4", "w": "b + 5", "g": "w + 8", "e": "g + 19", "p": "z + 10", "r": "p + 3", "q": "r + 11", "o": "q + 14", "v": "o + 7", "u": "v + 2", "z": 4}, "premises": {"z": 4}, "target": "e"}, "answer": {"steps": [["g", "w + 8", "w + 27"], ["w", "b + 5", "b + 32"], ["b", "i + 4", "i + 36"], ["i", "l + 20", "l + 56"], ["l", "z + 11", "z + 67"], ["z", 4, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"z": 4}, "is_reverse": true}}
| 5,089
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = z + 11; v = o + 7; z = 4; w = b + 5; i = l + 20; o = q + 14; g = w + 8; q = r + 11; e = g + 19; p = z + 10; u = v + 2; r = p + 3; b = i + 4. If z = 4, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 8 to e, which gives e = w + 27.\n2. Substitute w = b + 5 to e, which gives e = b + 32.\n3. Substitute b = i + 4 to e, which gives e = i + 36.\n4. Substitute i = l + 20 to e, which gives e = l + 56.\n5. Substitute l = z + 11 to e, which gives e = z + 67.\n6. Substitute z = 4 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 5089,
"question": "Consider a system of variables where each variable is defined as follows: l = z + 11; v = o + 7; z = 4; w = b + 5; i = l + 20; o = q + 14; g = w + 8; q = r + 11; e = g + 19; p = z + 10; u = v + 2; r = p + 3; b = i + 4. If z = 4, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"u": "j + 10", "l": "u + 20", "y": "l + 14", "i": "y + 2", "g": "i + 6", "c": "g + 15", "k": "j + 17", "s": "k + 16", "v": "s + 11", "q": "v + 20", "w": "q + 20", "n": "w + 1", "j": 17}, "premises": {"j": 17}, "target": "c"}, "answer": {"steps": [["g", "i + 6", "i + 21"], ["i", "y + 2", "y + 23"], ["y", "l + 14", "l + 37"], ["l", "u + 20", "u + 57"], ["u", "j + 10", "j + 67"], ["j", 17, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"j": 17}, "is_reverse": true}}
| 5,090
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = j + 17; i = y + 2; j = 17; c = g + 15; v = s + 11; u = j + 10; n = w + 1; w = q + 20; g = i + 6; l = u + 20; y = l + 14; q = v + 20; s = k + 16. Given that j = 17, 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 g = i + 6 to c, which gives c = i + 21.\n2. Substitute i = y + 2 to c, which gives c = y + 23.\n3. Substitute y = l + 14 to c, which gives c = l + 37.\n4. Substitute l = u + 20 to c, which gives c = u + 57.\n5. Substitute u = j + 10 to c, which gives c = j + 67.\n6. Substitute j = 17 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 5090,
"question": "Suppose a collection of variables is related by the following definitions: k = j + 17; i = y + 2; j = 17; c = g + 15; v = s + 11; u = j + 10; n = w + 1; w = q + 20; g = i + 6; l = u + 20; y = l + 14; q = v + 20; s = k + 16. Given that j = 17, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"g": "d + 16", "q": "g + 19", "p": "q + 12", "j": "p + 13", "z": "j + 11", "h": "z + 14", "b": "d + 6", "i": "b + 15", "l": "i + 3", "f": "l + 20", "n": "f + 12", "w": "n + 11", "d": 13}, "premises": {"d": 13}, "target": "h"}, "answer": {"steps": [["z", "j + 11", "j + 25"], ["j", "p + 13", "p + 38"], ["p", "q + 12", "q + 50"], ["q", "g + 19", "g + 69"], ["g", "d + 16", "d + 85"], ["d", 13, "98"]], "target_var_name": "h", "target_value": 98, "value_dict": {"d": 13}, "is_reverse": true}}
| 5,091
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = q + 12; w = n + 11; i = b + 15; j = p + 13; q = g + 19; n = f + 12; f = l + 20; h = z + 14; b = d + 6; z = j + 11; g = d + 16; l = i + 3; d = 13. Given that d = 13, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 11 to h, which gives h = j + 25.\n2. Substitute j = p + 13 to h, which gives h = p + 38.\n3. Substitute p = q + 12 to h, which gives h = q + 50.\n4. Substitute q = g + 19 to h, which gives h = g + 69.\n5. Substitute g = d + 16 to h, which gives h = d + 85.\n6. Substitute d = 13 to h, which gives h = 98.\n\nThus, the final answer is h = \\boxed{98}.",
"index": 5091,
"question": "Suppose a collection of variables is related by the following definitions: p = q + 12; w = n + 11; i = b + 15; j = p + 13; q = g + 19; n = f + 12; f = l + 20; h = z + 14; b = d + 6; z = j + 11; g = d + 16; l = i + 3; d = 13. Given that d = 13, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"z": "c + 10", "a": "z + 12", "h": "a + 15", "u": "h + 11", "t": "u + 19", "k": "t + 11", "e": "c + 8", "o": "e + 20", "x": "o + 10", "f": "x + 8", "b": "f + 3", "m": "b + 5", "c": 7}, "premises": {"c": 7}, "target": "k"}, "answer": {"steps": [["t", "u + 19", "u + 30"], ["u", "h + 11", "h + 41"], ["h", "a + 15", "a + 56"], ["a", "z + 12", "z + 68"], ["z", "c + 10", "c + 78"], ["c", 7, "85"]], "target_var_name": "k", "target_value": 85, "value_dict": {"c": 7}, "is_reverse": true}}
| 5,092
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 20; z = c + 10; h = a + 15; m = b + 5; b = f + 3; a = z + 12; c = 7; x = o + 10; t = u + 19; e = c + 8; u = h + 11; f = x + 8; k = t + 11. If c = 7, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 19 to k, which gives k = u + 30.\n2. Substitute u = h + 11 to k, which gives k = h + 41.\n3. Substitute h = a + 15 to k, which gives k = a + 56.\n4. Substitute a = z + 12 to k, which gives k = z + 68.\n5. Substitute z = c + 10 to k, which gives k = c + 78.\n6. Substitute c = 7 to k, which gives k = 85.\n\nThus, the final answer is k = \\boxed{85}.",
"index": 5092,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 20; z = c + 10; h = a + 15; m = b + 5; b = f + 3; a = z + 12; c = 7; x = o + 10; t = u + 19; e = c + 8; u = h + 11; f = x + 8; k = t + 11. If c = 7, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"z": "b + 20", "w": "z + 12", "t": "w + 8", "y": "t + 11", "d": "y + 8", "p": "d + 17", "v": "b + 13", "s": "v + 3", "i": "s + 7", "r": "i + 17", "c": "r + 1", "q": "c + 12", "b": 14}, "premises": {"b": 14}, "target": "p"}, "answer": {"steps": [["d", "y + 8", "y + 25"], ["y", "t + 11", "t + 36"], ["t", "w + 8", "w + 44"], ["w", "z + 12", "z + 56"], ["z", "b + 20", "b + 76"], ["b", 14, "90"]], "target_var_name": "p", "target_value": 90, "value_dict": {"b": 14}, "is_reverse": true}}
| 5,093
| 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 = y + 8; r = i + 17; i = s + 7; w = z + 12; y = t + 11; v = b + 13; s = v + 3; b = 14; c = r + 1; z = b + 20; p = d + 17; q = c + 12; t = w + 8. If b = 14, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 8 to p, which gives p = y + 25.\n2. Substitute y = t + 11 to p, which gives p = t + 36.\n3. Substitute t = w + 8 to p, which gives p = w + 44.\n4. Substitute w = z + 12 to p, which gives p = z + 56.\n5. Substitute z = b + 20 to p, which gives p = b + 76.\n6. Substitute b = 14 to p, which gives p = 90.\n\nThus, the final answer is p = \\boxed{90}.",
"index": 5093,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = y + 8; r = i + 17; i = s + 7; w = z + 12; y = t + 11; v = b + 13; s = v + 3; b = 14; c = r + 1; z = b + 20; p = d + 17; q = c + 12; t = w + 8. If b = 14, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"x": "w + 6", "r": "x + 18", "k": "r + 1", "h": "k + 11", "s": "h + 6", "f": "s + 4", "u": "w + 19", "y": "u + 5", "g": "y + 14", "z": "g + 16", "e": "z + 3", "d": "e + 12", "w": 7}, "premises": {"w": 7}, "target": "f"}, "answer": {"steps": [["s", "h + 6", "h + 10"], ["h", "k + 11", "k + 21"], ["k", "r + 1", "r + 22"], ["r", "x + 18", "x + 40"], ["x", "w + 6", "w + 46"], ["w", 7, "53"]], "target_var_name": "f", "target_value": 53, "value_dict": {"w": 7}, "is_reverse": true}}
| 5,094
| 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 = s + 4; w = 7; g = y + 14; d = e + 12; s = h + 6; y = u + 5; h = k + 11; k = r + 1; x = w + 6; r = x + 18; e = z + 3; z = g + 16; u = w + 19. If w = 7, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 6 to f, which gives f = h + 10.\n2. Substitute h = k + 11 to f, which gives f = k + 21.\n3. Substitute k = r + 1 to f, which gives f = r + 22.\n4. Substitute r = x + 18 to f, which gives f = x + 40.\n5. Substitute x = w + 6 to f, which gives f = w + 46.\n6. Substitute w = 7 to f, which gives f = 53.\n\nThus, the final answer is f = \\boxed{53}.",
"index": 5094,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = s + 4; w = 7; g = y + 14; d = e + 12; s = h + 6; y = u + 5; h = k + 11; k = r + 1; x = w + 6; r = x + 18; e = z + 3; z = g + 16; u = w + 19. If w = 7, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 1", "d": "h + 7", "y": "d + 20", "v": "y + 12", "p": "v + 14", "a": "p + 16", "m": "t + 19", "n": "m + 17", "w": "n + 17", "u": "w + 2", "c": "u + 2", "g": "c + 18", "t": 10}, "premises": {"t": 10}, "target": "a"}, "answer": {"steps": [["p", "v + 14", "v + 30"], ["v", "y + 12", "y + 42"], ["y", "d + 20", "d + 62"], ["d", "h + 7", "h + 69"], ["h", "t + 1", "t + 70"], ["t", 10, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"t": 10}, "is_reverse": true}}
| 5,095
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = u + 2; n = m + 17; v = y + 12; a = p + 16; w = n + 17; m = t + 19; h = t + 1; p = v + 14; y = d + 20; u = w + 2; g = c + 18; d = h + 7; t = 10. If t = 10, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 14 to a, which gives a = v + 30.\n2. Substitute v = y + 12 to a, which gives a = y + 42.\n3. Substitute y = d + 20 to a, which gives a = d + 62.\n4. Substitute d = h + 7 to a, which gives a = h + 69.\n5. Substitute h = t + 1 to a, which gives a = t + 70.\n6. Substitute t = 10 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 5095,
"question": "Consider a system of variables where each variable is defined as follows: c = u + 2; n = m + 17; v = y + 12; a = p + 16; w = n + 17; m = t + 19; h = t + 1; p = v + 14; y = d + 20; u = w + 2; g = c + 18; d = h + 7; t = 10. If t = 10, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"o": "n + 4", "t": "o + 7", "w": "t + 7", "x": "w + 20", "l": "x + 18", "z": "l + 11", "i": "n + 11", "s": "i + 13", "p": "s + 12", "q": "p + 12", "e": "q + 7", "r": "e + 9", "n": 4}, "premises": {"n": 4}, "target": "z"}, "answer": {"steps": [["l", "x + 18", "x + 29"], ["x", "w + 20", "w + 49"], ["w", "t + 7", "t + 56"], ["t", "o + 7", "o + 63"], ["o", "n + 4", "n + 67"], ["n", 4, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"n": 4}, "is_reverse": true}}
| 5,096
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = i + 13; o = n + 4; t = o + 7; q = p + 12; z = l + 11; p = s + 12; e = q + 7; w = t + 7; x = w + 20; r = e + 9; n = 4; l = x + 18; i = n + 11. If n = 4, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 18 to z, which gives z = x + 29.\n2. Substitute x = w + 20 to z, which gives z = w + 49.\n3. Substitute w = t + 7 to z, which gives z = t + 56.\n4. Substitute t = o + 7 to z, which gives z = o + 63.\n5. Substitute o = n + 4 to z, which gives z = n + 67.\n6. Substitute n = 4 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 5096,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = i + 13; o = n + 4; t = o + 7; q = p + 12; z = l + 11; p = s + 12; e = q + 7; w = t + 7; x = w + 20; r = e + 9; n = 4; l = x + 18; i = n + 11. If n = 4, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"j": "i + 4", "h": "j + 5", "v": "h + 12", "e": "v + 7", "t": "e + 10", "m": "t + 13", "b": "i + 13", "x": "b + 9", "s": "x + 1", "n": "s + 5", "k": "n + 11", "p": "k + 1", "i": 8}, "premises": {"i": 8}, "target": "m"}, "answer": {"steps": [["t", "e + 10", "e + 23"], ["e", "v + 7", "v + 30"], ["v", "h + 12", "h + 42"], ["h", "j + 5", "j + 47"], ["j", "i + 4", "i + 51"], ["i", 8, "59"]], "target_var_name": "m", "target_value": 59, "value_dict": {"i": 8}, "is_reverse": true}}
| 5,097
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 13; j = i + 4; n = s + 5; i = 8; v = h + 12; m = t + 13; x = b + 9; t = e + 10; p = k + 1; e = v + 7; k = n + 11; h = j + 5; s = x + 1. If i = 8, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 10 to m, which gives m = e + 23.\n2. Substitute e = v + 7 to m, which gives m = v + 30.\n3. Substitute v = h + 12 to m, which gives m = h + 42.\n4. Substitute h = j + 5 to m, which gives m = j + 47.\n5. Substitute j = i + 4 to m, which gives m = i + 51.\n6. Substitute i = 8 to m, which gives m = 59.\n\nThus, the final answer is m = \\boxed{59}.",
"index": 5097,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 13; j = i + 4; n = s + 5; i = 8; v = h + 12; m = t + 13; x = b + 9; t = e + 10; p = k + 1; e = v + 7; k = n + 11; h = j + 5; s = x + 1. If i = 8, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"j": "q + 15", "i": "j + 10", "s": "i + 9", "f": "s + 2", "r": "f + 16", "h": "r + 18", "b": "q + 10", "d": "b + 5", "y": "d + 1", "k": "y + 9", "x": "k + 11", "l": "x + 17", "q": 11}, "premises": {"q": 11}, "target": "h"}, "answer": {"steps": [["r", "f + 16", "f + 34"], ["f", "s + 2", "s + 36"], ["s", "i + 9", "i + 45"], ["i", "j + 10", "j + 55"], ["j", "q + 15", "q + 70"], ["q", 11, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"q": 11}, "is_reverse": true}}
| 5,098
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = f + 16; l = x + 17; f = s + 2; d = b + 5; h = r + 18; y = d + 1; q = 11; x = k + 11; j = q + 15; k = y + 9; s = i + 9; i = j + 10; b = q + 10. Given that q = 11, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 16 to h, which gives h = f + 34.\n2. Substitute f = s + 2 to h, which gives h = s + 36.\n3. Substitute s = i + 9 to h, which gives h = i + 45.\n4. Substitute i = j + 10 to h, which gives h = j + 55.\n5. Substitute j = q + 15 to h, which gives h = q + 70.\n6. Substitute q = 11 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 5098,
"question": "Suppose a collection of variables is related by the following definitions: r = f + 16; l = x + 17; f = s + 2; d = b + 5; h = r + 18; y = d + 1; q = 11; x = k + 11; j = q + 15; k = y + 9; s = i + 9; i = j + 10; b = q + 10. Given that q = 11, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"m": "b + 11", "z": "m + 9", "i": "z + 11", "y": "i + 5", "g": "y + 18", "f": "g + 4", "l": "b + 19", "d": "l + 20", "e": "d + 5", "h": "e + 6", "o": "h + 7", "c": "o + 7", "b": 2}, "premises": {"b": 2}, "target": "f"}, "answer": {"steps": [["g", "y + 18", "y + 22"], ["y", "i + 5", "i + 27"], ["i", "z + 11", "z + 38"], ["z", "m + 9", "m + 47"], ["m", "b + 11", "b + 58"], ["b", 2, "60"]], "target_var_name": "f", "target_value": 60, "value_dict": {"b": 2}, "is_reverse": true}}
| 5,099
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = i + 5; g = y + 18; i = z + 11; h = e + 6; z = m + 9; d = l + 20; e = d + 5; m = b + 11; c = o + 7; f = g + 4; b = 2; l = b + 19; o = h + 7. If b = 2, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 18 to f, which gives f = y + 22.\n2. Substitute y = i + 5 to f, which gives f = i + 27.\n3. Substitute i = z + 11 to f, which gives f = z + 38.\n4. Substitute z = m + 9 to f, which gives f = m + 47.\n5. Substitute m = b + 11 to f, which gives f = b + 58.\n6. Substitute b = 2 to f, which gives f = 60.\n\nThus, the final answer is f = \\boxed{60}.",
"index": 5099,
"question": "Consider a system of variables where each variable is defined as follows: y = i + 5; g = y + 18; i = z + 11; h = e + 6; z = m + 9; d = l + 20; e = d + 5; m = b + 11; c = o + 7; f = g + 4; b = 2; l = b + 19; o = h + 7. If b = 2, determine the value of f.",
"split": "train"
}
|
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