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25.6k
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stringclasses 1
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listlengths 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"y": "z + 7", "v": "y + 3", "x": "v + 3", "l": "x + 7", "h": "l + 12", "e": "h + 3", "q": "z + 3", "k": "q + 11", "o": "k + 3", "f": "o + 7", "p": "f + 13", "d": "p + 11", "z": 7}, "premises": {"z": 7}, "target": "e"}, "answer": {"steps": [["h", "l + 12", "l + 15"], ["l", "x + 7", "x + 22"], ["x", "v + 3", "v + 25"], ["v", "y + 3", "y + 28"], ["y", "z + 7", "z + 35"], ["z", 7, "42"]], "target_var_name": "e", "target_value": 42, "value_dict": {"z": 7}, "is_reverse": true}}
| 2,900
| 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 = p + 11; h = l + 12; v = y + 3; l = x + 7; q = z + 3; f = o + 7; y = z + 7; x = v + 3; k = q + 11; e = h + 3; z = 7; o = k + 3; p = f + 13. If z = 7, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 12 to e, which gives e = l + 15.\n2. Substitute l = x + 7 to e, which gives e = x + 22.\n3. Substitute x = v + 3 to e, which gives e = v + 25.\n4. Substitute v = y + 3 to e, which gives e = y + 28.\n5. Substitute y = z + 7 to e, which gives e = z + 35.\n6. Substitute z = 7 to e, which gives e = 42.\n\nThus, the final answer is e = \\boxed{42}.",
"index": 2900,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = p + 11; h = l + 12; v = y + 3; l = x + 7; q = z + 3; f = o + 7; y = z + 7; x = v + 3; k = q + 11; e = h + 3; z = 7; o = k + 3; p = f + 13. If z = 7, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"z": "l + 13", "s": "z + 10", "o": "s + 17", "r": "o + 17", "g": "r + 17", "x": "g + 4", "h": "l + 2", "v": "h + 14", "q": "v + 6", "u": "q + 15", "y": "u + 16", "c": "y + 10", "l": 15}, "premises": {"l": 15}, "target": "x"}, "answer": {"steps": [["g", "r + 17", "r + 21"], ["r", "o + 17", "o + 38"], ["o", "s + 17", "s + 55"], ["s", "z + 10", "z + 65"], ["z", "l + 13", "l + 78"], ["l", 15, "93"]], "target_var_name": "x", "target_value": 93, "value_dict": {"l": 15}, "is_reverse": true}}
| 2,901
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = h + 14; r = o + 17; q = v + 6; l = 15; z = l + 13; s = z + 10; x = g + 4; c = y + 10; o = s + 17; g = r + 17; h = l + 2; u = q + 15; y = u + 16. Given that l = 15, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 17 to x, which gives x = r + 21.\n2. Substitute r = o + 17 to x, which gives x = o + 38.\n3. Substitute o = s + 17 to x, which gives x = s + 55.\n4. Substitute s = z + 10 to x, which gives x = z + 65.\n5. Substitute z = l + 13 to x, which gives x = l + 78.\n6. Substitute l = 15 to x, which gives x = 93.\n\nThus, the final answer is x = \\boxed{93}.",
"index": 2901,
"question": "Suppose a collection of variables is related by the following definitions: v = h + 14; r = o + 17; q = v + 6; l = 15; z = l + 13; s = z + 10; x = g + 4; c = y + 10; o = s + 17; g = r + 17; h = l + 2; u = q + 15; y = u + 16. Given that l = 15, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"o": "t + 4", "l": "o + 18", "a": "l + 15", "n": "a + 14", "z": "n + 4", "e": "z + 1", "d": "t + 1", "j": "d + 20", "w": "j + 11", "h": "w + 14", "x": "h + 19", "m": "x + 4", "t": 17}, "premises": {"t": 17}, "target": "e"}, "answer": {"steps": [["z", "n + 4", "n + 5"], ["n", "a + 14", "a + 19"], ["a", "l + 15", "l + 34"], ["l", "o + 18", "o + 52"], ["o", "t + 4", "t + 56"], ["t", 17, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"t": 17}, "is_reverse": true}}
| 2,902
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = h + 19; z = n + 4; m = x + 4; d = t + 1; t = 17; a = l + 15; j = d + 20; e = z + 1; n = a + 14; w = j + 11; l = o + 18; o = t + 4; h = w + 14. If t = 17, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 4 to e, which gives e = n + 5.\n2. Substitute n = a + 14 to e, which gives e = a + 19.\n3. Substitute a = l + 15 to e, which gives e = l + 34.\n4. Substitute l = o + 18 to e, which gives e = o + 52.\n5. Substitute o = t + 4 to e, which gives e = t + 56.\n6. Substitute t = 17 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 2902,
"question": "Consider a system of variables where each variable is defined as follows: x = h + 19; z = n + 4; m = x + 4; d = t + 1; t = 17; a = l + 15; j = d + 20; e = z + 1; n = a + 14; w = j + 11; l = o + 18; o = t + 4; h = w + 14. If t = 17, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"h": "i + 14", "t": "h + 6", "n": "t + 6", "f": "n + 16", "a": "f + 13", "y": "a + 14", "x": "i + 4", "c": "x + 6", "d": "c + 7", "u": "d + 2", "w": "u + 12", "b": "w + 1", "i": 1}, "premises": {"i": 1}, "target": "y"}, "answer": {"steps": [["a", "f + 13", "f + 27"], ["f", "n + 16", "n + 43"], ["n", "t + 6", "t + 49"], ["t", "h + 6", "h + 55"], ["h", "i + 14", "i + 69"], ["i", 1, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"i": 1}, "is_reverse": true}}
| 2,903
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = n + 16; c = x + 6; u = d + 2; a = f + 13; h = i + 14; t = h + 6; i = 1; y = a + 14; x = i + 4; w = u + 12; d = c + 7; n = t + 6; b = w + 1. If i = 1, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 13 to y, which gives y = f + 27.\n2. Substitute f = n + 16 to y, which gives y = n + 43.\n3. Substitute n = t + 6 to y, which gives y = t + 49.\n4. Substitute t = h + 6 to y, which gives y = h + 55.\n5. Substitute h = i + 14 to y, which gives y = i + 69.\n6. Substitute i = 1 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 2903,
"question": "Consider a system of variables where each variable is defined as follows: f = n + 16; c = x + 6; u = d + 2; a = f + 13; h = i + 14; t = h + 6; i = 1; y = a + 14; x = i + 4; w = u + 12; d = c + 7; n = t + 6; b = w + 1. If i = 1, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"o": "y + 15", "r": "o + 10", "e": "r + 6", "w": "e + 5", "h": "w + 13", "k": "h + 4", "p": "y + 20", "l": "p + 13", "g": "l + 12", "v": "g + 1", "u": "v + 5", "m": "u + 7", "y": 11}, "premises": {"y": 11}, "target": "k"}, "answer": {"steps": [["h", "w + 13", "w + 17"], ["w", "e + 5", "e + 22"], ["e", "r + 6", "r + 28"], ["r", "o + 10", "o + 38"], ["o", "y + 15", "y + 53"], ["y", 11, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"y": 11}, "is_reverse": true}}
| 2,904
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 13; l = p + 13; v = g + 1; r = o + 10; k = h + 4; u = v + 5; w = e + 5; p = y + 20; m = u + 7; y = 11; g = l + 12; o = y + 15; e = r + 6. If y = 11, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 13 to k, which gives k = w + 17.\n2. Substitute w = e + 5 to k, which gives k = e + 22.\n3. Substitute e = r + 6 to k, which gives k = r + 28.\n4. Substitute r = o + 10 to k, which gives k = o + 38.\n5. Substitute o = y + 15 to k, which gives k = y + 53.\n6. Substitute y = 11 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 2904,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 13; l = p + 13; v = g + 1; r = o + 10; k = h + 4; u = v + 5; w = e + 5; p = y + 20; m = u + 7; y = 11; g = l + 12; o = y + 15; e = r + 6. If y = 11, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"y": "v + 9", "h": "y + 1", "s": "h + 9", "g": "s + 8", "k": "g + 7", "r": "k + 18", "i": "v + 13", "t": "i + 17", "m": "t + 20", "e": "m + 14", "z": "e + 12", "q": "z + 12", "v": 2}, "premises": {"v": 2}, "target": "r"}, "answer": {"steps": [["k", "g + 7", "g + 25"], ["g", "s + 8", "s + 33"], ["s", "h + 9", "h + 42"], ["h", "y + 1", "y + 43"], ["y", "v + 9", "v + 52"], ["v", 2, "54"]], "target_var_name": "r", "target_value": 54, "value_dict": {"v": 2}, "is_reverse": true}}
| 2,905
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = s + 8; t = i + 17; e = m + 14; i = v + 13; s = h + 9; k = g + 7; z = e + 12; y = v + 9; q = z + 12; h = y + 1; r = k + 18; v = 2; m = t + 20. Given that v = 2, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 7 to r, which gives r = g + 25.\n2. Substitute g = s + 8 to r, which gives r = s + 33.\n3. Substitute s = h + 9 to r, which gives r = h + 42.\n4. Substitute h = y + 1 to r, which gives r = y + 43.\n5. Substitute y = v + 9 to r, which gives r = v + 52.\n6. Substitute v = 2 to r, which gives r = 54.\n\nThus, the final answer is r = \\boxed{54}.",
"index": 2905,
"question": "Suppose a collection of variables is related by the following definitions: g = s + 8; t = i + 17; e = m + 14; i = v + 13; s = h + 9; k = g + 7; z = e + 12; y = v + 9; q = z + 12; h = y + 1; r = k + 18; v = 2; m = t + 20. Given that v = 2, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"t": "x + 5", "n": "t + 15", "r": "n + 9", "h": "r + 7", "b": "h + 19", "a": "b + 19", "y": "x + 15", "m": "y + 18", "c": "m + 2", "f": "c + 12", "q": "f + 17", "g": "q + 6", "x": 9}, "premises": {"x": 9}, "target": "a"}, "answer": {"steps": [["b", "h + 19", "h + 38"], ["h", "r + 7", "r + 45"], ["r", "n + 9", "n + 54"], ["n", "t + 15", "t + 69"], ["t", "x + 5", "x + 74"], ["x", 9, "83"]], "target_var_name": "a", "target_value": 83, "value_dict": {"x": 9}, "is_reverse": true}}
| 2,906
| 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; f = c + 12; r = n + 9; y = x + 15; h = r + 7; q = f + 17; x = 9; m = y + 18; a = b + 19; c = m + 2; n = t + 15; b = h + 19; t = x + 5. If x = 9, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 19 to a, which gives a = h + 38.\n2. Substitute h = r + 7 to a, which gives a = r + 45.\n3. Substitute r = n + 9 to a, which gives a = n + 54.\n4. Substitute n = t + 15 to a, which gives a = t + 69.\n5. Substitute t = x + 5 to a, which gives a = x + 74.\n6. Substitute x = 9 to a, which gives a = 83.\n\nThus, the final answer is a = \\boxed{83}.",
"index": 2906,
"question": "Consider a system of variables where each variable is defined as follows: g = q + 6; f = c + 12; r = n + 9; y = x + 15; h = r + 7; q = f + 17; x = 9; m = y + 18; a = b + 19; c = m + 2; n = t + 15; b = h + 19; t = x + 5. If x = 9, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 8", "l": "f + 4", "n": "l + 11", "o": "n + 2", "m": "o + 8", "b": "m + 5", "x": "k + 9", "c": "x + 10", "p": "c + 17", "j": "p + 18", "s": "j + 9", "r": "s + 20", "k": 7}, "premises": {"k": 7}, "target": "b"}, "answer": {"steps": [["m", "o + 8", "o + 13"], ["o", "n + 2", "n + 15"], ["n", "l + 11", "l + 26"], ["l", "f + 4", "f + 30"], ["f", "k + 8", "k + 38"], ["k", 7, "45"]], "target_var_name": "b", "target_value": 45, "value_dict": {"k": 7}, "is_reverse": true}}
| 2,907
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = o + 8; r = s + 20; k = 7; s = j + 9; l = f + 4; o = n + 2; x = k + 9; n = l + 11; j = p + 18; c = x + 10; f = k + 8; b = m + 5; p = c + 17. Given that k = 7, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 8 to b, which gives b = o + 13.\n2. Substitute o = n + 2 to b, which gives b = n + 15.\n3. Substitute n = l + 11 to b, which gives b = l + 26.\n4. Substitute l = f + 4 to b, which gives b = f + 30.\n5. Substitute f = k + 8 to b, which gives b = k + 38.\n6. Substitute k = 7 to b, which gives b = 45.\n\nThus, the final answer is b = \\boxed{45}.",
"index": 2907,
"question": "Suppose a collection of variables is related by the following definitions: m = o + 8; r = s + 20; k = 7; s = j + 9; l = f + 4; o = n + 2; x = k + 9; n = l + 11; j = p + 18; c = x + 10; f = k + 8; b = m + 5; p = c + 17. Given that k = 7, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"x": "g + 12", "d": "x + 4", "h": "d + 6", "o": "h + 7", "u": "o + 13", "t": "u + 10", "q": "g + 8", "z": "q + 15", "b": "z + 8", "e": "b + 3", "l": "e + 6", "v": "l + 9", "g": 16}, "premises": {"g": 16}, "target": "t"}, "answer": {"steps": [["u", "o + 13", "o + 23"], ["o", "h + 7", "h + 30"], ["h", "d + 6", "d + 36"], ["d", "x + 4", "x + 40"], ["x", "g + 12", "g + 52"], ["g", 16, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"g": 16}, "is_reverse": true}}
| 2,908
| 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 = g + 8; e = b + 3; u = o + 13; t = u + 10; x = g + 12; v = l + 9; h = d + 6; g = 16; d = x + 4; o = h + 7; z = q + 15; l = e + 6; b = z + 8. If g = 16, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 13 to t, which gives t = o + 23.\n2. Substitute o = h + 7 to t, which gives t = h + 30.\n3. Substitute h = d + 6 to t, which gives t = d + 36.\n4. Substitute d = x + 4 to t, which gives t = x + 40.\n5. Substitute x = g + 12 to t, which gives t = g + 52.\n6. Substitute g = 16 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 2908,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 8; e = b + 3; u = o + 13; t = u + 10; x = g + 12; v = l + 9; h = d + 6; g = 16; d = x + 4; o = h + 7; z = q + 15; l = e + 6; b = z + 8. If g = 16, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"y": "w + 4", "s": "y + 20", "d": "s + 19", "p": "d + 9", "o": "p + 2", "a": "o + 14", "e": "w + 1", "x": "e + 3", "i": "x + 7", "c": "i + 9", "j": "c + 20", "f": "j + 7", "w": 9}, "premises": {"w": 9}, "target": "a"}, "answer": {"steps": [["o", "p + 2", "p + 16"], ["p", "d + 9", "d + 25"], ["d", "s + 19", "s + 44"], ["s", "y + 20", "y + 64"], ["y", "w + 4", "w + 68"], ["w", 9, "77"]], "target_var_name": "a", "target_value": 77, "value_dict": {"w": 9}, "is_reverse": true}}
| 2,909
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = x + 7; j = c + 20; d = s + 19; p = d + 9; e = w + 1; w = 9; f = j + 7; s = y + 20; a = o + 14; c = i + 9; y = w + 4; x = e + 3; o = p + 2. If w = 9, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 2 to a, which gives a = p + 16.\n2. Substitute p = d + 9 to a, which gives a = d + 25.\n3. Substitute d = s + 19 to a, which gives a = s + 44.\n4. Substitute s = y + 20 to a, which gives a = y + 64.\n5. Substitute y = w + 4 to a, which gives a = w + 68.\n6. Substitute w = 9 to a, which gives a = 77.\n\nThus, the final answer is a = \\boxed{77}.",
"index": 2909,
"question": "Consider a system of variables where each variable is defined as follows: i = x + 7; j = c + 20; d = s + 19; p = d + 9; e = w + 1; w = 9; f = j + 7; s = y + 20; a = o + 14; c = i + 9; y = w + 4; x = e + 3; o = p + 2. If w = 9, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 9", "e": "x + 13", "a": "e + 14", "k": "a + 13", "y": "k + 13", "w": "y + 12", "c": "r + 8", "s": "c + 3", "h": "s + 3", "j": "h + 2", "m": "j + 3", "g": "m + 14", "r": 9}, "premises": {"r": 9}, "target": "w"}, "answer": {"steps": [["y", "k + 13", "k + 25"], ["k", "a + 13", "a + 38"], ["a", "e + 14", "e + 52"], ["e", "x + 13", "x + 65"], ["x", "r + 9", "r + 74"], ["r", 9, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"r": 9}, "is_reverse": true}}
| 2,910
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = s + 3; e = x + 13; r = 9; j = h + 2; a = e + 14; g = m + 14; s = c + 3; y = k + 13; k = a + 13; w = y + 12; m = j + 3; c = r + 8; x = r + 9. If r = 9, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 13 to w, which gives w = k + 25.\n2. Substitute k = a + 13 to w, which gives w = a + 38.\n3. Substitute a = e + 14 to w, which gives w = e + 52.\n4. Substitute e = x + 13 to w, which gives w = x + 65.\n5. Substitute x = r + 9 to w, which gives w = r + 74.\n6. Substitute r = 9 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 2910,
"question": "Consider a system of variables where each variable is defined as follows: h = s + 3; e = x + 13; r = 9; j = h + 2; a = e + 14; g = m + 14; s = c + 3; y = k + 13; k = a + 13; w = y + 12; m = j + 3; c = r + 8; x = r + 9. If r = 9, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"q": "j + 18", "r": "q + 16", "k": "r + 15", "x": "k + 5", "e": "x + 4", "y": "e + 12", "b": "j + 15", "c": "b + 6", "m": "c + 13", "v": "m + 5", "a": "v + 9", "o": "a + 9", "j": 1}, "premises": {"j": 1}, "target": "y"}, "answer": {"steps": [["e", "x + 4", "x + 16"], ["x", "k + 5", "k + 21"], ["k", "r + 15", "r + 36"], ["r", "q + 16", "q + 52"], ["q", "j + 18", "j + 70"], ["j", 1, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"j": 1}, "is_reverse": true}}
| 2,911
| 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 = c + 13; o = a + 9; q = j + 18; j = 1; v = m + 5; a = v + 9; b = j + 15; x = k + 5; k = r + 15; c = b + 6; r = q + 16; e = x + 4; y = e + 12. If j = 1, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 4 to y, which gives y = x + 16.\n2. Substitute x = k + 5 to y, which gives y = k + 21.\n3. Substitute k = r + 15 to y, which gives y = r + 36.\n4. Substitute r = q + 16 to y, which gives y = q + 52.\n5. Substitute q = j + 18 to y, which gives y = j + 70.\n6. Substitute j = 1 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 2911,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 13; o = a + 9; q = j + 18; j = 1; v = m + 5; a = v + 9; b = j + 15; x = k + 5; k = r + 15; c = b + 6; r = q + 16; e = x + 4; y = e + 12. If j = 1, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"x": "y + 7", "v": "x + 20", "t": "v + 2", "w": "t + 17", "q": "w + 11", "c": "q + 17", "p": "y + 15", "g": "p + 13", "a": "g + 7", "m": "a + 2", "i": "m + 3", "n": "i + 7", "y": 9}, "premises": {"y": 9}, "target": "c"}, "answer": {"steps": [["q", "w + 11", "w + 28"], ["w", "t + 17", "t + 45"], ["t", "v + 2", "v + 47"], ["v", "x + 20", "x + 67"], ["x", "y + 7", "y + 74"], ["y", 9, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"y": 9}, "is_reverse": true}}
| 2,912
| 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 = w + 11; m = a + 2; v = x + 20; n = i + 7; c = q + 17; t = v + 2; i = m + 3; w = t + 17; x = y + 7; y = 9; g = p + 13; p = y + 15; a = g + 7. If y = 9, what is the resulting 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 q = w + 11 to c, which gives c = w + 28.\n2. Substitute w = t + 17 to c, which gives c = t + 45.\n3. Substitute t = v + 2 to c, which gives c = v + 47.\n4. Substitute v = x + 20 to c, which gives c = x + 67.\n5. Substitute x = y + 7 to c, which gives c = y + 74.\n6. Substitute y = 9 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 2912,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 11; m = a + 2; v = x + 20; n = i + 7; c = q + 17; t = v + 2; i = m + 3; w = t + 17; x = y + 7; y = 9; g = p + 13; p = y + 15; a = g + 7. If y = 9, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"q": "p + 5", "b": "q + 7", "j": "b + 14", "s": "j + 13", "r": "s + 12", "l": "r + 2", "m": "p + 14", "a": "m + 11", "y": "a + 2", "t": "y + 12", "v": "t + 15", "d": "v + 15", "p": 6}, "premises": {"p": 6}, "target": "l"}, "answer": {"steps": [["r", "s + 12", "s + 14"], ["s", "j + 13", "j + 27"], ["j", "b + 14", "b + 41"], ["b", "q + 7", "q + 48"], ["q", "p + 5", "p + 53"], ["p", 6, "59"]], "target_var_name": "l", "target_value": 59, "value_dict": {"p": 6}, "is_reverse": true}}
| 2,913
| 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 = m + 11; s = j + 13; j = b + 14; m = p + 14; y = a + 2; v = t + 15; t = y + 12; p = 6; d = v + 15; l = r + 2; r = s + 12; q = p + 5; b = q + 7. If p = 6, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 12 to l, which gives l = s + 14.\n2. Substitute s = j + 13 to l, which gives l = j + 27.\n3. Substitute j = b + 14 to l, which gives l = b + 41.\n4. Substitute b = q + 7 to l, which gives l = q + 48.\n5. Substitute q = p + 5 to l, which gives l = p + 53.\n6. Substitute p = 6 to l, which gives l = 59.\n\nThus, the final answer is l = \\boxed{59}.",
"index": 2913,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = m + 11; s = j + 13; j = b + 14; m = p + 14; y = a + 2; v = t + 15; t = y + 12; p = 6; d = v + 15; l = r + 2; r = s + 12; q = p + 5; b = q + 7. If p = 6, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"v": "h + 18", "b": "v + 20", "o": "b + 3", "s": "o + 7", "w": "s + 20", "r": "w + 19", "n": "h + 6", "u": "n + 13", "l": "u + 15", "z": "l + 1", "k": "z + 14", "e": "k + 10", "h": 12}, "premises": {"h": 12}, "target": "r"}, "answer": {"steps": [["w", "s + 20", "s + 39"], ["s", "o + 7", "o + 46"], ["o", "b + 3", "b + 49"], ["b", "v + 20", "v + 69"], ["v", "h + 18", "h + 87"], ["h", 12, "99"]], "target_var_name": "r", "target_value": 99, "value_dict": {"h": 12}, "is_reverse": true}}
| 2,914
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = o + 7; l = u + 15; k = z + 14; z = l + 1; e = k + 10; v = h + 18; o = b + 3; n = h + 6; r = w + 19; u = n + 13; h = 12; w = s + 20; b = v + 20. Given that h = 12, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 20 to r, which gives r = s + 39.\n2. Substitute s = o + 7 to r, which gives r = o + 46.\n3. Substitute o = b + 3 to r, which gives r = b + 49.\n4. Substitute b = v + 20 to r, which gives r = v + 69.\n5. Substitute v = h + 18 to r, which gives r = h + 87.\n6. Substitute h = 12 to r, which gives r = 99.\n\nThus, the final answer is r = \\boxed{99}.",
"index": 2914,
"question": "Suppose a collection of variables is related by the following definitions: s = o + 7; l = u + 15; k = z + 14; z = l + 1; e = k + 10; v = h + 18; o = b + 3; n = h + 6; r = w + 19; u = n + 13; h = 12; w = s + 20; b = v + 20. Given that h = 12, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"x": "f + 7", "t": "x + 8", "y": "t + 6", "e": "y + 19", "o": "e + 3", "j": "o + 16", "a": "f + 8", "m": "a + 15", "r": "m + 17", "s": "r + 3", "p": "s + 6", "z": "p + 16", "f": 11}, "premises": {"f": 11}, "target": "j"}, "answer": {"steps": [["o", "e + 3", "e + 19"], ["e", "y + 19", "y + 38"], ["y", "t + 6", "t + 44"], ["t", "x + 8", "x + 52"], ["x", "f + 7", "f + 59"], ["f", 11, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"f": 11}, "is_reverse": true}}
| 2,915
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = f + 7; t = x + 8; o = e + 3; y = t + 6; r = m + 17; s = r + 3; p = s + 6; m = a + 15; a = f + 8; z = p + 16; e = y + 19; j = o + 16; f = 11. If f = 11, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 3 to j, which gives j = e + 19.\n2. Substitute e = y + 19 to j, which gives j = y + 38.\n3. Substitute y = t + 6 to j, which gives j = t + 44.\n4. Substitute t = x + 8 to j, which gives j = x + 52.\n5. Substitute x = f + 7 to j, which gives j = f + 59.\n6. Substitute f = 11 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 2915,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = f + 7; t = x + 8; o = e + 3; y = t + 6; r = m + 17; s = r + 3; p = s + 6; m = a + 15; a = f + 8; z = p + 16; e = y + 19; j = o + 16; f = 11. If f = 11, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"x": "v + 7", "l": "x + 11", "g": "l + 8", "k": "g + 9", "n": "k + 19", "b": "n + 14", "i": "v + 7", "w": "i + 19", "q": "w + 15", "h": "q + 13", "y": "h + 17", "o": "y + 12", "v": 4}, "premises": {"v": 4}, "target": "b"}, "answer": {"steps": [["n", "k + 19", "k + 33"], ["k", "g + 9", "g + 42"], ["g", "l + 8", "l + 50"], ["l", "x + 11", "x + 61"], ["x", "v + 7", "v + 68"], ["v", 4, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"v": 4}, "is_reverse": true}}
| 2,916
| 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 = v + 7; y = h + 17; g = l + 8; v = 4; h = q + 13; q = w + 15; x = v + 7; k = g + 9; o = y + 12; b = n + 14; w = i + 19; l = x + 11; n = k + 19. If v = 4, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 19 to b, which gives b = k + 33.\n2. Substitute k = g + 9 to b, which gives b = g + 42.\n3. Substitute g = l + 8 to b, which gives b = l + 50.\n4. Substitute l = x + 11 to b, which gives b = x + 61.\n5. Substitute x = v + 7 to b, which gives b = v + 68.\n6. Substitute v = 4 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 2916,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = v + 7; y = h + 17; g = l + 8; v = 4; h = q + 13; q = w + 15; x = v + 7; k = g + 9; o = y + 12; b = n + 14; w = i + 19; l = x + 11; n = k + 19. If v = 4, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"g": "i + 7", "s": "g + 16", "r": "s + 15", "n": "r + 1", "d": "n + 20", "c": "d + 6", "b": "i + 15", "u": "b + 16", "j": "u + 12", "a": "j + 18", "o": "a + 17", "x": "o + 11", "i": 15}, "premises": {"i": 15}, "target": "c"}, "answer": {"steps": [["d", "n + 20", "n + 26"], ["n", "r + 1", "r + 27"], ["r", "s + 15", "s + 42"], ["s", "g + 16", "g + 58"], ["g", "i + 7", "i + 65"], ["i", 15, "80"]], "target_var_name": "c", "target_value": 80, "value_dict": {"i": 15}, "is_reverse": true}}
| 2,917
| 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 = o + 11; g = i + 7; b = i + 15; d = n + 20; u = b + 16; n = r + 1; a = j + 18; o = a + 17; s = g + 16; r = s + 15; j = u + 12; c = d + 6; i = 15. If i = 15, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 20 to c, which gives c = n + 26.\n2. Substitute n = r + 1 to c, which gives c = r + 27.\n3. Substitute r = s + 15 to c, which gives c = s + 42.\n4. Substitute s = g + 16 to c, which gives c = g + 58.\n5. Substitute g = i + 7 to c, which gives c = i + 65.\n6. Substitute i = 15 to c, which gives c = 80.\n\nThus, the final answer is c = \\boxed{80}.",
"index": 2917,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 11; g = i + 7; b = i + 15; d = n + 20; u = b + 16; n = r + 1; a = j + 18; o = a + 17; s = g + 16; r = s + 15; j = u + 12; c = d + 6; i = 15. If i = 15, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"z": "h + 17", "y": "z + 16", "v": "y + 16", "s": "v + 15", "m": "s + 3", "k": "m + 9", "l": "h + 14", "t": "l + 18", "e": "t + 7", "r": "e + 8", "c": "r + 9", "d": "c + 12", "h": 3}, "premises": {"h": 3}, "target": "k"}, "answer": {"steps": [["m", "s + 3", "s + 12"], ["s", "v + 15", "v + 27"], ["v", "y + 16", "y + 43"], ["y", "z + 16", "z + 59"], ["z", "h + 17", "h + 76"], ["h", 3, "79"]], "target_var_name": "k", "target_value": 79, "value_dict": {"h": 3}, "is_reverse": true}}
| 2,918
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = z + 16; c = r + 9; k = m + 9; e = t + 7; l = h + 14; h = 3; m = s + 3; r = e + 8; d = c + 12; v = y + 16; s = v + 15; z = h + 17; t = l + 18. If h = 3, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 3 to k, which gives k = s + 12.\n2. Substitute s = v + 15 to k, which gives k = v + 27.\n3. Substitute v = y + 16 to k, which gives k = y + 43.\n4. Substitute y = z + 16 to k, which gives k = z + 59.\n5. Substitute z = h + 17 to k, which gives k = h + 76.\n6. Substitute h = 3 to k, which gives k = 79.\n\nThus, the final answer is k = \\boxed{79}.",
"index": 2918,
"question": "Consider a system of variables where each variable is defined as follows: y = z + 16; c = r + 9; k = m + 9; e = t + 7; l = h + 14; h = 3; m = s + 3; r = e + 8; d = c + 12; v = y + 16; s = v + 15; z = h + 17; t = l + 18. If h = 3, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"s": "f + 14", "a": "s + 12", "b": "a + 7", "k": "b + 8", "q": "k + 14", "t": "q + 10", "x": "f + 4", "j": "x + 17", "c": "j + 8", "w": "c + 12", "d": "w + 8", "l": "d + 14", "f": 11}, "premises": {"f": 11}, "target": "t"}, "answer": {"steps": [["q", "k + 14", "k + 24"], ["k", "b + 8", "b + 32"], ["b", "a + 7", "a + 39"], ["a", "s + 12", "s + 51"], ["s", "f + 14", "f + 65"], ["f", 11, "76"]], "target_var_name": "t", "target_value": 76, "value_dict": {"f": 11}, "is_reverse": true}}
| 2,919
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = d + 14; w = c + 12; t = q + 10; b = a + 7; x = f + 4; a = s + 12; d = w + 8; k = b + 8; q = k + 14; c = j + 8; f = 11; j = x + 17; s = f + 14. If f = 11, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 14 to t, which gives t = k + 24.\n2. Substitute k = b + 8 to t, which gives t = b + 32.\n3. Substitute b = a + 7 to t, which gives t = a + 39.\n4. Substitute a = s + 12 to t, which gives t = s + 51.\n5. Substitute s = f + 14 to t, which gives t = f + 65.\n6. Substitute f = 11 to t, which gives t = 76.\n\nThus, the final answer is t = \\boxed{76}.",
"index": 2919,
"question": "Consider a system of variables where each variable is defined as follows: l = d + 14; w = c + 12; t = q + 10; b = a + 7; x = f + 4; a = s + 12; d = w + 8; k = b + 8; q = k + 14; c = j + 8; f = 11; j = x + 17; s = f + 14. If f = 11, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"n": "m + 10", "y": "n + 9", "w": "y + 3", "v": "w + 6", "o": "v + 6", "i": "o + 14", "k": "m + 8", "e": "k + 18", "s": "e + 19", "f": "s + 12", "b": "f + 14", "r": "b + 6", "m": 7}, "premises": {"m": 7}, "target": "i"}, "answer": {"steps": [["o", "v + 6", "v + 20"], ["v", "w + 6", "w + 26"], ["w", "y + 3", "y + 29"], ["y", "n + 9", "n + 38"], ["n", "m + 10", "m + 48"], ["m", 7, "55"]], "target_var_name": "i", "target_value": 55, "value_dict": {"m": 7}, "is_reverse": true}}
| 2,920
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 14; r = b + 6; v = w + 6; n = m + 10; s = e + 19; i = o + 14; e = k + 18; m = 7; y = n + 9; k = m + 8; f = s + 12; w = y + 3; o = v + 6. Given that m = 7, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 6 to i, which gives i = v + 20.\n2. Substitute v = w + 6 to i, which gives i = w + 26.\n3. Substitute w = y + 3 to i, which gives i = y + 29.\n4. Substitute y = n + 9 to i, which gives i = n + 38.\n5. Substitute n = m + 10 to i, which gives i = m + 48.\n6. Substitute m = 7 to i, which gives i = 55.\n\nThus, the final answer is i = \\boxed{55}.",
"index": 2920,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 14; r = b + 6; v = w + 6; n = m + 10; s = e + 19; i = o + 14; e = k + 18; m = 7; y = n + 9; k = m + 8; f = s + 12; w = y + 3; o = v + 6. Given that m = 7, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"s": "u + 16", "z": "s + 10", "l": "z + 11", "n": "l + 11", "y": "n + 14", "q": "y + 2", "w": "u + 4", "f": "w + 10", "a": "f + 20", "v": "a + 18", "m": "v + 1", "d": "m + 16", "u": 13}, "premises": {"u": 13}, "target": "q"}, "answer": {"steps": [["y", "n + 14", "n + 16"], ["n", "l + 11", "l + 27"], ["l", "z + 11", "z + 38"], ["z", "s + 10", "s + 48"], ["s", "u + 16", "u + 64"], ["u", 13, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"u": 13}, "is_reverse": true}}
| 2,921
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = u + 16; n = l + 11; d = m + 16; q = y + 2; v = a + 18; w = u + 4; m = v + 1; u = 13; z = s + 10; f = w + 10; y = n + 14; l = z + 11; a = f + 20. If u = 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 y = n + 14 to q, which gives q = n + 16.\n2. Substitute n = l + 11 to q, which gives q = l + 27.\n3. Substitute l = z + 11 to q, which gives q = z + 38.\n4. Substitute z = s + 10 to q, which gives q = s + 48.\n5. Substitute s = u + 16 to q, which gives q = u + 64.\n6. Substitute u = 13 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 2921,
"question": "Consider a system of variables where each variable is defined as follows: s = u + 16; n = l + 11; d = m + 16; q = y + 2; v = a + 18; w = u + 4; m = v + 1; u = 13; z = s + 10; f = w + 10; y = n + 14; l = z + 11; a = f + 20. If u = 13, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"o": "y + 9", "x": "o + 16", "u": "x + 17", "a": "u + 5", "f": "a + 8", "e": "f + 7", "t": "y + 18", "c": "t + 1", "s": "c + 8", "n": "s + 7", "r": "n + 10", "l": "r + 7", "y": 7}, "premises": {"y": 7}, "target": "e"}, "answer": {"steps": [["f", "a + 8", "a + 15"], ["a", "u + 5", "u + 20"], ["u", "x + 17", "x + 37"], ["x", "o + 16", "o + 53"], ["o", "y + 9", "y + 62"], ["y", 7, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"y": 7}, "is_reverse": true}}
| 2,922
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = s + 7; c = t + 1; u = x + 17; f = a + 8; e = f + 7; r = n + 10; a = u + 5; o = y + 9; s = c + 8; y = 7; t = y + 18; l = r + 7; x = o + 16. If y = 7, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 8 to e, which gives e = a + 15.\n2. Substitute a = u + 5 to e, which gives e = u + 20.\n3. Substitute u = x + 17 to e, which gives e = x + 37.\n4. Substitute x = o + 16 to e, which gives e = o + 53.\n5. Substitute o = y + 9 to e, which gives e = y + 62.\n6. Substitute y = 7 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 2922,
"question": "Consider a system of variables where each variable is defined as follows: n = s + 7; c = t + 1; u = x + 17; f = a + 8; e = f + 7; r = n + 10; a = u + 5; o = y + 9; s = c + 8; y = 7; t = y + 18; l = r + 7; x = o + 16. If y = 7, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"s": "j + 15", "i": "s + 17", "q": "i + 14", "t": "q + 9", "a": "t + 14", "w": "a + 5", "h": "j + 8", "n": "h + 9", "f": "n + 20", "y": "f + 4", "c": "y + 19", "p": "c + 10", "j": 20}, "premises": {"j": 20}, "target": "w"}, "answer": {"steps": [["a", "t + 14", "t + 19"], ["t", "q + 9", "q + 28"], ["q", "i + 14", "i + 42"], ["i", "s + 17", "s + 59"], ["s", "j + 15", "j + 74"], ["j", 20, "94"]], "target_var_name": "w", "target_value": 94, "value_dict": {"j": 20}, "is_reverse": true}}
| 2,923
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 9; i = s + 17; q = i + 14; p = c + 10; s = j + 15; w = a + 5; a = t + 14; f = n + 20; c = y + 19; j = 20; h = j + 8; y = f + 4; t = q + 9. If j = 20, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 14 to w, which gives w = t + 19.\n2. Substitute t = q + 9 to w, which gives w = q + 28.\n3. Substitute q = i + 14 to w, which gives w = i + 42.\n4. Substitute i = s + 17 to w, which gives w = s + 59.\n5. Substitute s = j + 15 to w, which gives w = j + 74.\n6. Substitute j = 20 to w, which gives w = 94.\n\nThus, the final answer is w = \\boxed{94}.",
"index": 2923,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 9; i = s + 17; q = i + 14; p = c + 10; s = j + 15; w = a + 5; a = t + 14; f = n + 20; c = y + 19; j = 20; h = j + 8; y = f + 4; t = q + 9. If j = 20, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"c": "b + 12", "s": "c + 10", "r": "s + 15", "h": "r + 13", "f": "h + 18", "x": "f + 16", "p": "b + 13", "l": "p + 3", "a": "l + 13", "d": "a + 20", "y": "d + 8", "q": "y + 15", "b": 9}, "premises": {"b": 9}, "target": "x"}, "answer": {"steps": [["f", "h + 18", "h + 34"], ["h", "r + 13", "r + 47"], ["r", "s + 15", "s + 62"], ["s", "c + 10", "c + 72"], ["c", "b + 12", "b + 84"], ["b", 9, "93"]], "target_var_name": "x", "target_value": 93, "value_dict": {"b": 9}, "is_reverse": true}}
| 2,924
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = h + 18; c = b + 12; h = r + 13; l = p + 3; a = l + 13; y = d + 8; q = y + 15; x = f + 16; r = s + 15; p = b + 13; b = 9; d = a + 20; s = c + 10. If b = 9, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 18 to x, which gives x = h + 34.\n2. Substitute h = r + 13 to x, which gives x = r + 47.\n3. Substitute r = s + 15 to x, which gives x = s + 62.\n4. Substitute s = c + 10 to x, which gives x = c + 72.\n5. Substitute c = b + 12 to x, which gives x = b + 84.\n6. Substitute b = 9 to x, which gives x = 93.\n\nThus, the final answer is x = \\boxed{93}.",
"index": 2924,
"question": "Consider a system of variables where each variable is defined as follows: f = h + 18; c = b + 12; h = r + 13; l = p + 3; a = l + 13; y = d + 8; q = y + 15; x = f + 16; r = s + 15; p = b + 13; b = 9; d = a + 20; s = c + 10. If b = 9, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"h": "z + 12", "y": "h + 14", "k": "y + 5", "e": "k + 2", "r": "e + 1", "o": "r + 15", "t": "z + 7", "i": "t + 4", "x": "i + 16", "f": "x + 20", "w": "f + 19", "d": "w + 19", "z": 4}, "premises": {"z": 4}, "target": "o"}, "answer": {"steps": [["r", "e + 1", "e + 16"], ["e", "k + 2", "k + 18"], ["k", "y + 5", "y + 23"], ["y", "h + 14", "h + 37"], ["h", "z + 12", "z + 49"], ["z", 4, "53"]], "target_var_name": "o", "target_value": 53, "value_dict": {"z": 4}, "is_reverse": true}}
| 2,925
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = h + 14; o = r + 15; i = t + 4; f = x + 20; w = f + 19; z = 4; x = i + 16; k = y + 5; h = z + 12; d = w + 19; r = e + 1; e = k + 2; t = z + 7. If z = 4, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 1 to o, which gives o = e + 16.\n2. Substitute e = k + 2 to o, which gives o = k + 18.\n3. Substitute k = y + 5 to o, which gives o = y + 23.\n4. Substitute y = h + 14 to o, which gives o = h + 37.\n5. Substitute h = z + 12 to o, which gives o = z + 49.\n6. Substitute z = 4 to o, which gives o = 53.\n\nThus, the final answer is o = \\boxed{53}.",
"index": 2925,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = h + 14; o = r + 15; i = t + 4; f = x + 20; w = f + 19; z = 4; x = i + 16; k = y + 5; h = z + 12; d = w + 19; r = e + 1; e = k + 2; t = z + 7. If z = 4, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 1", "k": "n + 6", "t": "k + 12", "a": "t + 5", "r": "a + 13", "f": "r + 3", "p": "c + 10", "y": "p + 10", "x": "y + 11", "q": "x + 2", "l": "q + 7", "w": "l + 13", "c": 19}, "premises": {"c": 19}, "target": "f"}, "answer": {"steps": [["r", "a + 13", "a + 16"], ["a", "t + 5", "t + 21"], ["t", "k + 12", "k + 33"], ["k", "n + 6", "n + 39"], ["n", "c + 1", "c + 40"], ["c", 19, "59"]], "target_var_name": "f", "target_value": 59, "value_dict": {"c": 19}, "is_reverse": true}}
| 2,926
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = n + 6; t = k + 12; f = r + 3; r = a + 13; q = x + 2; y = p + 10; x = y + 11; c = 19; w = l + 13; a = t + 5; p = c + 10; n = c + 1; l = q + 7. Given that c = 19, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 13 to f, which gives f = a + 16.\n2. Substitute a = t + 5 to f, which gives f = t + 21.\n3. Substitute t = k + 12 to f, which gives f = k + 33.\n4. Substitute k = n + 6 to f, which gives f = n + 39.\n5. Substitute n = c + 1 to f, which gives f = c + 40.\n6. Substitute c = 19 to f, which gives f = 59.\n\nThus, the final answer is f = \\boxed{59}.",
"index": 2926,
"question": "Suppose a collection of variables is related by the following definitions: k = n + 6; t = k + 12; f = r + 3; r = a + 13; q = x + 2; y = p + 10; x = y + 11; c = 19; w = l + 13; a = t + 5; p = c + 10; n = c + 1; l = q + 7. Given that c = 19, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"z": "g + 17", "t": "z + 18", "r": "t + 17", "y": "r + 20", "h": "y + 15", "u": "h + 16", "i": "g + 9", "p": "i + 6", "b": "p + 18", "x": "b + 16", "s": "x + 10", "l": "s + 17", "g": 16}, "premises": {"g": 16}, "target": "u"}, "answer": {"steps": [["h", "y + 15", "y + 31"], ["y", "r + 20", "r + 51"], ["r", "t + 17", "t + 68"], ["t", "z + 18", "z + 86"], ["z", "g + 17", "g + 103"], ["g", 16, "119"]], "target_var_name": "u", "target_value": 119, "value_dict": {"g": 16}, "is_reverse": true}}
| 2,927
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = 16; l = s + 17; r = t + 17; h = y + 15; i = g + 9; y = r + 20; s = x + 10; x = b + 16; b = p + 18; p = i + 6; t = z + 18; z = g + 17; u = h + 16. If g = 16, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 119,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 15 to u, which gives u = y + 31.\n2. Substitute y = r + 20 to u, which gives u = r + 51.\n3. Substitute r = t + 17 to u, which gives u = t + 68.\n4. Substitute t = z + 18 to u, which gives u = z + 86.\n5. Substitute z = g + 17 to u, which gives u = g + 103.\n6. Substitute g = 16 to u, which gives u = 119.\n\nThus, the final answer is u = \\boxed{119}.",
"index": 2927,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 16; l = s + 17; r = t + 17; h = y + 15; i = g + 9; y = r + 20; s = x + 10; x = b + 16; b = p + 18; p = i + 6; t = z + 18; z = g + 17; u = h + 16. If g = 16, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"i": "v + 18", "b": "i + 15", "l": "b + 14", "o": "l + 7", "e": "o + 15", "c": "e + 2", "p": "v + 8", "n": "p + 8", "g": "n + 16", "k": "g + 17", "d": "k + 7", "y": "d + 7", "v": 4}, "premises": {"v": 4}, "target": "c"}, "answer": {"steps": [["e", "o + 15", "o + 17"], ["o", "l + 7", "l + 24"], ["l", "b + 14", "b + 38"], ["b", "i + 15", "i + 53"], ["i", "v + 18", "v + 71"], ["v", 4, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"v": 4}, "is_reverse": true}}
| 2,928
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = g + 17; b = i + 15; n = p + 8; i = v + 18; d = k + 7; c = e + 2; v = 4; p = v + 8; o = l + 7; e = o + 15; g = n + 16; y = d + 7; l = b + 14. Given that v = 4, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 15 to c, which gives c = o + 17.\n2. Substitute o = l + 7 to c, which gives c = l + 24.\n3. Substitute l = b + 14 to c, which gives c = b + 38.\n4. Substitute b = i + 15 to c, which gives c = i + 53.\n5. Substitute i = v + 18 to c, which gives c = v + 71.\n6. Substitute v = 4 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 2928,
"question": "Suppose a collection of variables is related by the following definitions: k = g + 17; b = i + 15; n = p + 8; i = v + 18; d = k + 7; c = e + 2; v = 4; p = v + 8; o = l + 7; e = o + 15; g = n + 16; y = d + 7; l = b + 14. Given that v = 4, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"l": "q + 15", "h": "l + 11", "c": "h + 16", "v": "c + 12", "x": "v + 7", "w": "x + 13", "a": "q + 7", "o": "a + 9", "u": "o + 16", "r": "u + 16", "n": "r + 14", "i": "n + 10", "q": 18}, "premises": {"q": 18}, "target": "w"}, "answer": {"steps": [["x", "v + 7", "v + 20"], ["v", "c + 12", "c + 32"], ["c", "h + 16", "h + 48"], ["h", "l + 11", "l + 59"], ["l", "q + 15", "q + 74"], ["q", 18, "92"]], "target_var_name": "w", "target_value": 92, "value_dict": {"q": 18}, "is_reverse": true}}
| 2,929
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = c + 12; i = n + 10; n = r + 14; u = o + 16; l = q + 15; r = u + 16; o = a + 9; w = x + 13; x = v + 7; h = l + 11; q = 18; a = q + 7; c = h + 16. Given that q = 18, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 7 to w, which gives w = v + 20.\n2. Substitute v = c + 12 to w, which gives w = c + 32.\n3. Substitute c = h + 16 to w, which gives w = h + 48.\n4. Substitute h = l + 11 to w, which gives w = l + 59.\n5. Substitute l = q + 15 to w, which gives w = q + 74.\n6. Substitute q = 18 to w, which gives w = 92.\n\nThus, the final answer is w = \\boxed{92}.",
"index": 2929,
"question": "Suppose a collection of variables is related by the following definitions: v = c + 12; i = n + 10; n = r + 14; u = o + 16; l = q + 15; r = u + 16; o = a + 9; w = x + 13; x = v + 7; h = l + 11; q = 18; a = q + 7; c = h + 16. Given that q = 18, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"j": "r + 14", "a": "j + 11", "u": "a + 11", "m": "u + 6", "z": "m + 12", "b": "z + 19", "f": "r + 14", "w": "f + 13", "v": "w + 13", "k": "v + 9", "h": "k + 16", "d": "h + 20", "r": 9}, "premises": {"r": 9}, "target": "b"}, "answer": {"steps": [["z", "m + 12", "m + 31"], ["m", "u + 6", "u + 37"], ["u", "a + 11", "a + 48"], ["a", "j + 11", "j + 59"], ["j", "r + 14", "r + 73"], ["r", 9, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"r": 9}, "is_reverse": true}}
| 2,930
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = h + 20; b = z + 19; z = m + 12; f = r + 14; w = f + 13; v = w + 13; h = k + 16; j = r + 14; u = a + 11; m = u + 6; k = v + 9; a = j + 11; r = 9. Given that r = 9, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 12 to b, which gives b = m + 31.\n2. Substitute m = u + 6 to b, which gives b = u + 37.\n3. Substitute u = a + 11 to b, which gives b = a + 48.\n4. Substitute a = j + 11 to b, which gives b = j + 59.\n5. Substitute j = r + 14 to b, which gives b = r + 73.\n6. Substitute r = 9 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 2930,
"question": "Suppose a collection of variables is related by the following definitions: d = h + 20; b = z + 19; z = m + 12; f = r + 14; w = f + 13; v = w + 13; h = k + 16; j = r + 14; u = a + 11; m = u + 6; k = v + 9; a = j + 11; r = 9. Given that r = 9, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"o": "t + 20", "l": "o + 15", "m": "l + 13", "y": "m + 13", "f": "y + 6", "c": "f + 8", "e": "t + 11", "s": "e + 14", "x": "s + 18", "p": "x + 14", "a": "p + 13", "j": "a + 18", "t": 19}, "premises": {"t": 19}, "target": "c"}, "answer": {"steps": [["f", "y + 6", "y + 14"], ["y", "m + 13", "m + 27"], ["m", "l + 13", "l + 40"], ["l", "o + 15", "o + 55"], ["o", "t + 20", "t + 75"], ["t", 19, "94"]], "target_var_name": "c", "target_value": 94, "value_dict": {"t": 19}, "is_reverse": true}}
| 2,931
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = o + 15; m = l + 13; e = t + 11; c = f + 8; x = s + 18; f = y + 6; a = p + 13; t = 19; y = m + 13; s = e + 14; o = t + 20; j = a + 18; p = x + 14. If t = 19, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 6 to c, which gives c = y + 14.\n2. Substitute y = m + 13 to c, which gives c = m + 27.\n3. Substitute m = l + 13 to c, which gives c = l + 40.\n4. Substitute l = o + 15 to c, which gives c = o + 55.\n5. Substitute o = t + 20 to c, which gives c = t + 75.\n6. Substitute t = 19 to c, which gives c = 94.\n\nThus, the final answer is c = \\boxed{94}.",
"index": 2931,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = o + 15; m = l + 13; e = t + 11; c = f + 8; x = s + 18; f = y + 6; a = p + 13; t = 19; y = m + 13; s = e + 14; o = t + 20; j = a + 18; p = x + 14. If t = 19, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"m": "a + 20", "s": "m + 14", "t": "s + 5", "f": "t + 8", "o": "f + 4", "h": "o + 6", "c": "a + 5", "g": "c + 15", "q": "g + 7", "u": "q + 12", "e": "u + 6", "j": "e + 1", "a": 19}, "premises": {"a": 19}, "target": "h"}, "answer": {"steps": [["o", "f + 4", "f + 10"], ["f", "t + 8", "t + 18"], ["t", "s + 5", "s + 23"], ["s", "m + 14", "m + 37"], ["m", "a + 20", "a + 57"], ["a", 19, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"a": 19}, "is_reverse": true}}
| 2,932
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = c + 15; u = q + 12; j = e + 1; a = 19; o = f + 4; q = g + 7; h = o + 6; t = s + 5; c = a + 5; f = t + 8; m = a + 20; e = u + 6; s = m + 14. Given that a = 19, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 4 to h, which gives h = f + 10.\n2. Substitute f = t + 8 to h, which gives h = t + 18.\n3. Substitute t = s + 5 to h, which gives h = s + 23.\n4. Substitute s = m + 14 to h, which gives h = m + 37.\n5. Substitute m = a + 20 to h, which gives h = a + 57.\n6. Substitute a = 19 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 2932,
"question": "Suppose a collection of variables is related by the following definitions: g = c + 15; u = q + 12; j = e + 1; a = 19; o = f + 4; q = g + 7; h = o + 6; t = s + 5; c = a + 5; f = t + 8; m = a + 20; e = u + 6; s = m + 14. Given that a = 19, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"m": "z + 12", "l": "m + 2", "c": "l + 1", "v": "c + 8", "n": "v + 14", "y": "n + 20", "a": "z + 3", "t": "a + 5", "i": "t + 1", "x": "i + 12", "e": "x + 11", "o": "e + 2", "z": 5}, "premises": {"z": 5}, "target": "y"}, "answer": {"steps": [["n", "v + 14", "v + 34"], ["v", "c + 8", "c + 42"], ["c", "l + 1", "l + 43"], ["l", "m + 2", "m + 45"], ["m", "z + 12", "z + 57"], ["z", 5, "62"]], "target_var_name": "y", "target_value": 62, "value_dict": {"z": 5}, "is_reverse": true}}
| 2,933
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = z + 3; o = e + 2; i = t + 1; n = v + 14; m = z + 12; t = a + 5; e = x + 11; z = 5; l = m + 2; v = c + 8; c = l + 1; x = i + 12; y = n + 20. Given that z = 5, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 14 to y, which gives y = v + 34.\n2. Substitute v = c + 8 to y, which gives y = c + 42.\n3. Substitute c = l + 1 to y, which gives y = l + 43.\n4. Substitute l = m + 2 to y, which gives y = m + 45.\n5. Substitute m = z + 12 to y, which gives y = z + 57.\n6. Substitute z = 5 to y, which gives y = 62.\n\nThus, the final answer is y = \\boxed{62}.",
"index": 2933,
"question": "Suppose a collection of variables is related by the following definitions: a = z + 3; o = e + 2; i = t + 1; n = v + 14; m = z + 12; t = a + 5; e = x + 11; z = 5; l = m + 2; v = c + 8; c = l + 1; x = i + 12; y = n + 20. Given that z = 5, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"z": "h + 8", "e": "z + 14", "f": "e + 12", "v": "f + 18", "x": "v + 18", "l": "x + 3", "p": "h + 2", "m": "p + 7", "k": "m + 10", "j": "k + 2", "b": "j + 10", "w": "b + 19", "h": 9}, "premises": {"h": 9}, "target": "l"}, "answer": {"steps": [["x", "v + 18", "v + 21"], ["v", "f + 18", "f + 39"], ["f", "e + 12", "e + 51"], ["e", "z + 14", "z + 65"], ["z", "h + 8", "h + 73"], ["h", 9, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"h": 9}, "is_reverse": true}}
| 2,934
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = f + 18; w = b + 19; j = k + 2; f = e + 12; b = j + 10; h = 9; p = h + 2; l = x + 3; e = z + 14; m = p + 7; k = m + 10; z = h + 8; x = v + 18. Given that h = 9, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 18 to l, which gives l = v + 21.\n2. Substitute v = f + 18 to l, which gives l = f + 39.\n3. Substitute f = e + 12 to l, which gives l = e + 51.\n4. Substitute e = z + 14 to l, which gives l = z + 65.\n5. Substitute z = h + 8 to l, which gives l = h + 73.\n6. Substitute h = 9 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 2934,
"question": "Suppose a collection of variables is related by the following definitions: v = f + 18; w = b + 19; j = k + 2; f = e + 12; b = j + 10; h = 9; p = h + 2; l = x + 3; e = z + 14; m = p + 7; k = m + 10; z = h + 8; x = v + 18. Given that h = 9, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"m": "f + 8", "w": "m + 14", "j": "w + 5", "p": "j + 5", "i": "p + 8", "o": "i + 14", "v": "f + 6", "c": "v + 5", "d": "c + 20", "t": "d + 18", "a": "t + 19", "x": "a + 20", "f": 17}, "premises": {"f": 17}, "target": "o"}, "answer": {"steps": [["i", "p + 8", "p + 22"], ["p", "j + 5", "j + 27"], ["j", "w + 5", "w + 32"], ["w", "m + 14", "m + 46"], ["m", "f + 8", "f + 54"], ["f", 17, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"f": 17}, "is_reverse": true}}
| 2,935
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = c + 20; w = m + 14; j = w + 5; c = v + 5; v = f + 6; m = f + 8; a = t + 19; i = p + 8; t = d + 18; f = 17; x = a + 20; o = i + 14; p = j + 5. Given that f = 17, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 8 to o, which gives o = p + 22.\n2. Substitute p = j + 5 to o, which gives o = j + 27.\n3. Substitute j = w + 5 to o, which gives o = w + 32.\n4. Substitute w = m + 14 to o, which gives o = m + 46.\n5. Substitute m = f + 8 to o, which gives o = f + 54.\n6. Substitute f = 17 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 2935,
"question": "Suppose a collection of variables is related by the following definitions: d = c + 20; w = m + 14; j = w + 5; c = v + 5; v = f + 6; m = f + 8; a = t + 19; i = p + 8; t = d + 18; f = 17; x = a + 20; o = i + 14; p = j + 5. Given that f = 17, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"b": "f + 20", "i": "b + 5", "h": "i + 7", "k": "h + 17", "g": "k + 15", "o": "g + 8", "l": "f + 2", "x": "l + 6", "y": "x + 19", "n": "y + 18", "r": "n + 17", "u": "r + 14", "f": 15}, "premises": {"f": 15}, "target": "o"}, "answer": {"steps": [["g", "k + 15", "k + 23"], ["k", "h + 17", "h + 40"], ["h", "i + 7", "i + 47"], ["i", "b + 5", "b + 52"], ["b", "f + 20", "f + 72"], ["f", 15, "87"]], "target_var_name": "o", "target_value": 87, "value_dict": {"f": 15}, "is_reverse": true}}
| 2,936
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 20; k = h + 17; u = r + 14; g = k + 15; o = g + 8; i = b + 5; x = l + 6; r = n + 17; y = x + 19; f = 15; n = y + 18; h = i + 7; l = f + 2. Given that f = 15, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = k + 15 to o, which gives o = k + 23.\n2. Substitute k = h + 17 to o, which gives o = h + 40.\n3. Substitute h = i + 7 to o, which gives o = i + 47.\n4. Substitute i = b + 5 to o, which gives o = b + 52.\n5. Substitute b = f + 20 to o, which gives o = f + 72.\n6. Substitute f = 15 to o, which gives o = 87.\n\nThus, the final answer is o = \\boxed{87}.",
"index": 2936,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 20; k = h + 17; u = r + 14; g = k + 15; o = g + 8; i = b + 5; x = l + 6; r = n + 17; y = x + 19; f = 15; n = y + 18; h = i + 7; l = f + 2. Given that f = 15, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"d": "q + 14", "a": "d + 4", "s": "a + 13", "e": "s + 10", "l": "e + 5", "v": "l + 9", "u": "q + 11", "g": "u + 14", "p": "g + 20", "o": "p + 18", "x": "o + 14", "c": "x + 16", "q": 18}, "premises": {"q": 18}, "target": "v"}, "answer": {"steps": [["l", "e + 5", "e + 14"], ["e", "s + 10", "s + 24"], ["s", "a + 13", "a + 37"], ["a", "d + 4", "d + 41"], ["d", "q + 14", "q + 55"], ["q", 18, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"q": 18}, "is_reverse": true}}
| 2,937
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = u + 14; o = p + 18; v = l + 9; x = o + 14; q = 18; d = q + 14; s = a + 13; a = d + 4; c = x + 16; p = g + 20; u = q + 11; l = e + 5; e = s + 10. Given that q = 18, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 5 to v, which gives v = e + 14.\n2. Substitute e = s + 10 to v, which gives v = s + 24.\n3. Substitute s = a + 13 to v, which gives v = a + 37.\n4. Substitute a = d + 4 to v, which gives v = d + 41.\n5. Substitute d = q + 14 to v, which gives v = q + 55.\n6. Substitute q = 18 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 2937,
"question": "Suppose a collection of variables is related by the following definitions: g = u + 14; o = p + 18; v = l + 9; x = o + 14; q = 18; d = q + 14; s = a + 13; a = d + 4; c = x + 16; p = g + 20; u = q + 11; l = e + 5; e = s + 10. Given that q = 18, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"l": "v + 15", "u": "l + 1", "h": "u + 5", "e": "h + 20", "w": "e + 11", "c": "w + 17", "t": "v + 6", "j": "t + 3", "d": "j + 16", "g": "d + 16", "o": "g + 6", "a": "o + 12", "v": 16}, "premises": {"v": 16}, "target": "c"}, "answer": {"steps": [["w", "e + 11", "e + 28"], ["e", "h + 20", "h + 48"], ["h", "u + 5", "u + 53"], ["u", "l + 1", "l + 54"], ["l", "v + 15", "v + 69"], ["v", 16, "85"]], "target_var_name": "c", "target_value": 85, "value_dict": {"v": 16}, "is_reverse": true}}
| 2,938
| 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 = e + 11; j = t + 3; o = g + 6; a = o + 12; d = j + 16; v = 16; u = l + 1; e = h + 20; g = d + 16; t = v + 6; h = u + 5; c = w + 17; l = v + 15. If v = 16, what is the resulting 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 w = e + 11 to c, which gives c = e + 28.\n2. Substitute e = h + 20 to c, which gives c = h + 48.\n3. Substitute h = u + 5 to c, which gives c = u + 53.\n4. Substitute u = l + 1 to c, which gives c = l + 54.\n5. Substitute l = v + 15 to c, which gives c = v + 69.\n6. Substitute v = 16 to c, which gives c = 85.\n\nThus, the final answer is c = \\boxed{85}.",
"index": 2938,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = e + 11; j = t + 3; o = g + 6; a = o + 12; d = j + 16; v = 16; u = l + 1; e = h + 20; g = d + 16; t = v + 6; h = u + 5; c = w + 17; l = v + 15. If v = 16, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"x": "z + 16", "c": "x + 17", "v": "c + 5", "q": "v + 5", "s": "q + 20", "b": "s + 12", "h": "z + 6", "d": "h + 15", "l": "d + 3", "y": "l + 20", "p": "y + 10", "w": "p + 8", "z": 11}, "premises": {"z": 11}, "target": "b"}, "answer": {"steps": [["s", "q + 20", "q + 32"], ["q", "v + 5", "v + 37"], ["v", "c + 5", "c + 42"], ["c", "x + 17", "x + 59"], ["x", "z + 16", "z + 75"], ["z", 11, "86"]], "target_var_name": "b", "target_value": 86, "value_dict": {"z": 11}, "is_reverse": true}}
| 2,939
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = q + 20; h = z + 6; q = v + 5; y = l + 20; z = 11; c = x + 17; x = z + 16; d = h + 15; w = p + 8; l = d + 3; v = c + 5; b = s + 12; p = y + 10. Given that z = 11, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 20 to b, which gives b = q + 32.\n2. Substitute q = v + 5 to b, which gives b = v + 37.\n3. Substitute v = c + 5 to b, which gives b = c + 42.\n4. Substitute c = x + 17 to b, which gives b = x + 59.\n5. Substitute x = z + 16 to b, which gives b = z + 75.\n6. Substitute z = 11 to b, which gives b = 86.\n\nThus, the final answer is b = \\boxed{86}.",
"index": 2939,
"question": "Suppose a collection of variables is related by the following definitions: s = q + 20; h = z + 6; q = v + 5; y = l + 20; z = 11; c = x + 17; x = z + 16; d = h + 15; w = p + 8; l = d + 3; v = c + 5; b = s + 12; p = y + 10. Given that z = 11, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"f": "n + 5", "e": "f + 10", "o": "e + 9", "k": "o + 9", "d": "k + 16", "s": "d + 13", "q": "n + 12", "g": "q + 19", "m": "g + 19", "b": "m + 5", "u": "b + 5", "y": "u + 13", "n": 4}, "premises": {"n": 4}, "target": "s"}, "answer": {"steps": [["d", "k + 16", "k + 29"], ["k", "o + 9", "o + 38"], ["o", "e + 9", "e + 47"], ["e", "f + 10", "f + 57"], ["f", "n + 5", "n + 62"], ["n", 4, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"n": 4}, "is_reverse": true}}
| 2,940
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 13; s = d + 13; q = n + 12; e = f + 10; m = g + 19; o = e + 9; k = o + 9; g = q + 19; b = m + 5; d = k + 16; u = b + 5; n = 4; f = n + 5. If n = 4, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 16 to s, which gives s = k + 29.\n2. Substitute k = o + 9 to s, which gives s = o + 38.\n3. Substitute o = e + 9 to s, which gives s = e + 47.\n4. Substitute e = f + 10 to s, which gives s = f + 57.\n5. Substitute f = n + 5 to s, which gives s = n + 62.\n6. Substitute n = 4 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 2940,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 13; s = d + 13; q = n + 12; e = f + 10; m = g + 19; o = e + 9; k = o + 9; g = q + 19; b = m + 5; d = k + 16; u = b + 5; n = 4; f = n + 5. If n = 4, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"p": "u + 19", "m": "p + 4", "g": "m + 6", "z": "g + 11", "k": "z + 2", "f": "k + 14", "v": "u + 10", "o": "v + 3", "e": "o + 3", "n": "e + 20", "x": "n + 15", "t": "x + 16", "u": 12}, "premises": {"u": 12}, "target": "f"}, "answer": {"steps": [["k", "z + 2", "z + 16"], ["z", "g + 11", "g + 27"], ["g", "m + 6", "m + 33"], ["m", "p + 4", "p + 37"], ["p", "u + 19", "u + 56"], ["u", 12, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"u": 12}, "is_reverse": true}}
| 2,941
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = z + 2; x = n + 15; g = m + 6; n = e + 20; z = g + 11; f = k + 14; m = p + 4; u = 12; v = u + 10; t = x + 16; e = o + 3; o = v + 3; p = u + 19. If u = 12, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 2 to f, which gives f = z + 16.\n2. Substitute z = g + 11 to f, which gives f = g + 27.\n3. Substitute g = m + 6 to f, which gives f = m + 33.\n4. Substitute m = p + 4 to f, which gives f = p + 37.\n5. Substitute p = u + 19 to f, which gives f = u + 56.\n6. Substitute u = 12 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 2941,
"question": "Consider a system of variables where each variable is defined as follows: k = z + 2; x = n + 15; g = m + 6; n = e + 20; z = g + 11; f = k + 14; m = p + 4; u = 12; v = u + 10; t = x + 16; e = o + 3; o = v + 3; p = u + 19. If u = 12, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"h": "e + 15", "j": "h + 20", "p": "j + 11", "k": "p + 15", "b": "k + 8", "n": "b + 3", "l": "e + 18", "x": "l + 9", "r": "x + 14", "y": "r + 15", "v": "y + 13", "t": "v + 15", "e": 11}, "premises": {"e": 11}, "target": "n"}, "answer": {"steps": [["b", "k + 8", "k + 11"], ["k", "p + 15", "p + 26"], ["p", "j + 11", "j + 37"], ["j", "h + 20", "h + 57"], ["h", "e + 15", "e + 72"], ["e", 11, "83"]], "target_var_name": "n", "target_value": 83, "value_dict": {"e": 11}, "is_reverse": true}}
| 2,942
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = b + 3; r = x + 14; l = e + 18; k = p + 15; x = l + 9; t = v + 15; h = e + 15; v = y + 13; j = h + 20; y = r + 15; p = j + 11; e = 11; b = k + 8. Given that e = 11, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 8 to n, which gives n = k + 11.\n2. Substitute k = p + 15 to n, which gives n = p + 26.\n3. Substitute p = j + 11 to n, which gives n = j + 37.\n4. Substitute j = h + 20 to n, which gives n = h + 57.\n5. Substitute h = e + 15 to n, which gives n = e + 72.\n6. Substitute e = 11 to n, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 2942,
"question": "Suppose a collection of variables is related by the following definitions: n = b + 3; r = x + 14; l = e + 18; k = p + 15; x = l + 9; t = v + 15; h = e + 15; v = y + 13; j = h + 20; y = r + 15; p = j + 11; e = 11; b = k + 8. Given that e = 11, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"j": "q + 1", "k": "j + 19", "d": "k + 6", "p": "d + 11", "g": "p + 13", "b": "g + 14", "c": "q + 1", "r": "c + 14", "w": "r + 16", "i": "w + 4", "t": "i + 14", "o": "t + 17", "q": 18}, "premises": {"q": 18}, "target": "b"}, "answer": {"steps": [["g", "p + 13", "p + 27"], ["p", "d + 11", "d + 38"], ["d", "k + 6", "k + 44"], ["k", "j + 19", "j + 63"], ["j", "q + 1", "q + 64"], ["q", 18, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"q": 18}, "is_reverse": true}}
| 2,943
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = t + 17; t = i + 14; b = g + 14; i = w + 4; p = d + 11; r = c + 14; w = r + 16; j = q + 1; g = p + 13; c = q + 1; d = k + 6; q = 18; k = j + 19. If q = 18, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 13 to b, which gives b = p + 27.\n2. Substitute p = d + 11 to b, which gives b = d + 38.\n3. Substitute d = k + 6 to b, which gives b = k + 44.\n4. Substitute k = j + 19 to b, which gives b = j + 63.\n5. Substitute j = q + 1 to b, which gives b = q + 64.\n6. Substitute q = 18 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 2943,
"question": "Consider a system of variables where each variable is defined as follows: o = t + 17; t = i + 14; b = g + 14; i = w + 4; p = d + 11; r = c + 14; w = r + 16; j = q + 1; g = p + 13; c = q + 1; d = k + 6; q = 18; k = j + 19. If q = 18, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"e": "s + 2", "a": "e + 1", "q": "a + 16", "l": "q + 13", "r": "l + 6", "y": "r + 11", "w": "s + 5", "b": "w + 4", "k": "b + 12", "m": "k + 1", "g": "m + 8", "v": "g + 3", "s": 16}, "premises": {"s": 16}, "target": "y"}, "answer": {"steps": [["r", "l + 6", "l + 17"], ["l", "q + 13", "q + 30"], ["q", "a + 16", "a + 46"], ["a", "e + 1", "e + 47"], ["e", "s + 2", "s + 49"], ["s", 16, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"s": 16}, "is_reverse": true}}
| 2,944
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = q + 13; a = e + 1; b = w + 4; k = b + 12; s = 16; g = m + 8; v = g + 3; r = l + 6; e = s + 2; y = r + 11; q = a + 16; m = k + 1; w = s + 5. Given that s = 16, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 6 to y, which gives y = l + 17.\n2. Substitute l = q + 13 to y, which gives y = q + 30.\n3. Substitute q = a + 16 to y, which gives y = a + 46.\n4. Substitute a = e + 1 to y, which gives y = e + 47.\n5. Substitute e = s + 2 to y, which gives y = s + 49.\n6. Substitute s = 16 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 2944,
"question": "Suppose a collection of variables is related by the following definitions: l = q + 13; a = e + 1; b = w + 4; k = b + 12; s = 16; g = m + 8; v = g + 3; r = l + 6; e = s + 2; y = r + 11; q = a + 16; m = k + 1; w = s + 5. Given that s = 16, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"y": "i + 8", "g": "y + 10", "b": "g + 7", "o": "b + 13", "q": "o + 3", "f": "q + 13", "v": "i + 2", "r": "v + 13", "j": "r + 5", "d": "j + 11", "x": "d + 19", "s": "x + 4", "i": 12}, "premises": {"i": 12}, "target": "f"}, "answer": {"steps": [["q", "o + 3", "o + 16"], ["o", "b + 13", "b + 29"], ["b", "g + 7", "g + 36"], ["g", "y + 10", "y + 46"], ["y", "i + 8", "i + 54"], ["i", 12, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"i": 12}, "is_reverse": true}}
| 2,945
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = d + 19; d = j + 11; v = i + 2; j = r + 5; i = 12; b = g + 7; q = o + 3; f = q + 13; o = b + 13; r = v + 13; s = x + 4; y = i + 8; g = y + 10. Given that i = 12, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 3 to f, which gives f = o + 16.\n2. Substitute o = b + 13 to f, which gives f = b + 29.\n3. Substitute b = g + 7 to f, which gives f = g + 36.\n4. Substitute g = y + 10 to f, which gives f = y + 46.\n5. Substitute y = i + 8 to f, which gives f = i + 54.\n6. Substitute i = 12 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 2945,
"question": "Suppose a collection of variables is related by the following definitions: x = d + 19; d = j + 11; v = i + 2; j = r + 5; i = 12; b = g + 7; q = o + 3; f = q + 13; o = b + 13; r = v + 13; s = x + 4; y = i + 8; g = y + 10. Given that i = 12, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"b": "i + 4", "r": "b + 9", "y": "r + 15", "m": "y + 20", "q": "m + 10", "w": "q + 15", "h": "i + 5", "a": "h + 19", "c": "a + 3", "f": "c + 15", "l": "f + 13", "v": "l + 19", "i": 17}, "premises": {"i": 17}, "target": "w"}, "answer": {"steps": [["q", "m + 10", "m + 25"], ["m", "y + 20", "y + 45"], ["y", "r + 15", "r + 60"], ["r", "b + 9", "b + 69"], ["b", "i + 4", "i + 73"], ["i", 17, "90"]], "target_var_name": "w", "target_value": 90, "value_dict": {"i": 17}, "is_reverse": true}}
| 2,946
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = r + 15; r = b + 9; v = l + 19; f = c + 15; w = q + 15; a = h + 19; i = 17; l = f + 13; c = a + 3; b = i + 4; h = i + 5; m = y + 20; q = m + 10. If i = 17, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 10 to w, which gives w = m + 25.\n2. Substitute m = y + 20 to w, which gives w = y + 45.\n3. Substitute y = r + 15 to w, which gives w = r + 60.\n4. Substitute r = b + 9 to w, which gives w = b + 69.\n5. Substitute b = i + 4 to w, which gives w = i + 73.\n6. Substitute i = 17 to w, which gives w = 90.\n\nThus, the final answer is w = \\boxed{90}.",
"index": 2946,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = r + 15; r = b + 9; v = l + 19; f = c + 15; w = q + 15; a = h + 19; i = 17; l = f + 13; c = a + 3; b = i + 4; h = i + 5; m = y + 20; q = m + 10. If i = 17, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"k": "z + 10", "v": "k + 1", "a": "v + 3", "n": "a + 14", "p": "n + 14", "g": "p + 8", "y": "z + 15", "q": "y + 5", "x": "q + 12", "f": "x + 3", "w": "f + 6", "l": "w + 6", "z": 19}, "premises": {"z": 19}, "target": "g"}, "answer": {"steps": [["p", "n + 14", "n + 22"], ["n", "a + 14", "a + 36"], ["a", "v + 3", "v + 39"], ["v", "k + 1", "k + 40"], ["k", "z + 10", "z + 50"], ["z", 19, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"z": 19}, "is_reverse": true}}
| 2,947
| 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 = q + 12; k = z + 10; f = x + 3; z = 19; w = f + 6; q = y + 5; y = z + 15; l = w + 6; g = p + 8; n = a + 14; a = v + 3; v = k + 1; p = n + 14. If z = 19, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 14 to g, which gives g = n + 22.\n2. Substitute n = a + 14 to g, which gives g = a + 36.\n3. Substitute a = v + 3 to g, which gives g = v + 39.\n4. Substitute v = k + 1 to g, which gives g = k + 40.\n5. Substitute k = z + 10 to g, which gives g = z + 50.\n6. Substitute z = 19 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 2947,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = q + 12; k = z + 10; f = x + 3; z = 19; w = f + 6; q = y + 5; y = z + 15; l = w + 6; g = p + 8; n = a + 14; a = v + 3; v = k + 1; p = n + 14. If z = 19, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"w": "q + 1", "g": "w + 12", "c": "g + 5", "o": "c + 6", "s": "o + 1", "h": "s + 17", "u": "q + 13", "l": "u + 12", "k": "l + 8", "y": "k + 17", "v": "y + 19", "z": "v + 19", "q": 9}, "premises": {"q": 9}, "target": "h"}, "answer": {"steps": [["s", "o + 1", "o + 18"], ["o", "c + 6", "c + 24"], ["c", "g + 5", "g + 29"], ["g", "w + 12", "w + 41"], ["w", "q + 1", "q + 42"], ["q", 9, "51"]], "target_var_name": "h", "target_value": 51, "value_dict": {"q": 9}, "is_reverse": true}}
| 2,948
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 13; h = s + 17; g = w + 12; w = q + 1; y = k + 17; l = u + 12; z = v + 19; q = 9; o = c + 6; c = g + 5; s = o + 1; v = y + 19; k = l + 8. If q = 9, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 1 to h, which gives h = o + 18.\n2. Substitute o = c + 6 to h, which gives h = c + 24.\n3. Substitute c = g + 5 to h, which gives h = g + 29.\n4. Substitute g = w + 12 to h, which gives h = w + 41.\n5. Substitute w = q + 1 to h, which gives h = q + 42.\n6. Substitute q = 9 to h, which gives h = 51.\n\nThus, the final answer is h = \\boxed{51}.",
"index": 2948,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 13; h = s + 17; g = w + 12; w = q + 1; y = k + 17; l = u + 12; z = v + 19; q = 9; o = c + 6; c = g + 5; s = o + 1; v = y + 19; k = l + 8. If q = 9, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"l": "o + 10", "j": "l + 18", "s": "j + 2", "z": "s + 14", "i": "z + 19", "f": "i + 20", "k": "o + 12", "x": "k + 2", "v": "x + 15", "q": "v + 9", "u": "q + 9", "h": "u + 2", "o": 4}, "premises": {"o": 4}, "target": "f"}, "answer": {"steps": [["i", "z + 19", "z + 39"], ["z", "s + 14", "s + 53"], ["s", "j + 2", "j + 55"], ["j", "l + 18", "l + 73"], ["l", "o + 10", "o + 83"], ["o", 4, "87"]], "target_var_name": "f", "target_value": 87, "value_dict": {"o": 4}, "is_reverse": true}}
| 2,949
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 20; v = x + 15; k = o + 12; l = o + 10; i = z + 19; j = l + 18; u = q + 9; q = v + 9; h = u + 2; s = j + 2; x = k + 2; o = 4; z = s + 14. If o = 4, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 19 to f, which gives f = z + 39.\n2. Substitute z = s + 14 to f, which gives f = s + 53.\n3. Substitute s = j + 2 to f, which gives f = j + 55.\n4. Substitute j = l + 18 to f, which gives f = l + 73.\n5. Substitute l = o + 10 to f, which gives f = o + 83.\n6. Substitute o = 4 to f, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 2949,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 20; v = x + 15; k = o + 12; l = o + 10; i = z + 19; j = l + 18; u = q + 9; q = v + 9; h = u + 2; s = j + 2; x = k + 2; o = 4; z = s + 14. If o = 4, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"o": "w + 5", "r": "o + 16", "j": "r + 4", "v": "j + 7", "d": "v + 13", "m": "d + 18", "b": "w + 7", "n": "b + 4", "l": "n + 7", "e": "l + 12", "u": "e + 4", "g": "u + 2", "w": 14}, "premises": {"w": 14}, "target": "m"}, "answer": {"steps": [["d", "v + 13", "v + 31"], ["v", "j + 7", "j + 38"], ["j", "r + 4", "r + 42"], ["r", "o + 16", "o + 58"], ["o", "w + 5", "w + 63"], ["w", 14, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"w": 14}, "is_reverse": true}}
| 2,950
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = n + 7; m = d + 18; r = o + 16; g = u + 2; n = b + 4; w = 14; d = v + 13; e = l + 12; v = j + 7; b = w + 7; o = w + 5; u = e + 4; j = r + 4. If w = 14, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 13 to m, which gives m = v + 31.\n2. Substitute v = j + 7 to m, which gives m = j + 38.\n3. Substitute j = r + 4 to m, which gives m = r + 42.\n4. Substitute r = o + 16 to m, which gives m = o + 58.\n5. Substitute o = w + 5 to m, which gives m = w + 63.\n6. Substitute w = 14 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 2950,
"question": "Consider a system of variables where each variable is defined as follows: l = n + 7; m = d + 18; r = o + 16; g = u + 2; n = b + 4; w = 14; d = v + 13; e = l + 12; v = j + 7; b = w + 7; o = w + 5; u = e + 4; j = r + 4. If w = 14, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"o": "s + 17", "l": "o + 19", "m": "l + 6", "n": "m + 5", "e": "n + 1", "i": "e + 5", "u": "s + 19", "y": "u + 5", "z": "y + 6", "r": "z + 6", "x": "r + 11", "t": "x + 10", "s": 10}, "premises": {"s": 10}, "target": "i"}, "answer": {"steps": [["e", "n + 1", "n + 6"], ["n", "m + 5", "m + 11"], ["m", "l + 6", "l + 17"], ["l", "o + 19", "o + 36"], ["o", "s + 17", "s + 53"], ["s", 10, "63"]], "target_var_name": "i", "target_value": 63, "value_dict": {"s": 10}, "is_reverse": true}}
| 2,951
| 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 = r + 11; o = s + 17; m = l + 6; n = m + 5; t = x + 10; i = e + 5; e = n + 1; z = y + 6; s = 10; l = o + 19; u = s + 19; r = z + 6; y = u + 5. If s = 10, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 1 to i, which gives i = n + 6.\n2. Substitute n = m + 5 to i, which gives i = m + 11.\n3. Substitute m = l + 6 to i, which gives i = l + 17.\n4. Substitute l = o + 19 to i, which gives i = o + 36.\n5. Substitute o = s + 17 to i, which gives i = s + 53.\n6. Substitute s = 10 to i, which gives i = 63.\n\nThus, the final answer is i = \\boxed{63}.",
"index": 2951,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 11; o = s + 17; m = l + 6; n = m + 5; t = x + 10; i = e + 5; e = n + 1; z = y + 6; s = 10; l = o + 19; u = s + 19; r = z + 6; y = u + 5. If s = 10, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"p": "o + 3", "s": "p + 14", "j": "s + 6", "r": "j + 8", "e": "r + 2", "q": "e + 2", "v": "o + 4", "m": "v + 8", "l": "m + 14", "n": "l + 11", "y": "n + 6", "x": "y + 11", "o": 3}, "premises": {"o": 3}, "target": "q"}, "answer": {"steps": [["e", "r + 2", "r + 4"], ["r", "j + 8", "j + 12"], ["j", "s + 6", "s + 18"], ["s", "p + 14", "p + 32"], ["p", "o + 3", "o + 35"], ["o", 3, "38"]], "target_var_name": "q", "target_value": 38, "value_dict": {"o": 3}, "is_reverse": true}}
| 2,952
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 2; m = v + 8; o = 3; p = o + 3; r = j + 8; l = m + 14; n = l + 11; y = n + 6; s = p + 14; e = r + 2; j = s + 6; v = o + 4; x = y + 11. If o = 3, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 38,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 2 to q, which gives q = r + 4.\n2. Substitute r = j + 8 to q, which gives q = j + 12.\n3. Substitute j = s + 6 to q, which gives q = s + 18.\n4. Substitute s = p + 14 to q, which gives q = p + 32.\n5. Substitute p = o + 3 to q, which gives q = o + 35.\n6. Substitute o = 3 to q, which gives q = 38.\n\nThus, the final answer is q = \\boxed{38}.",
"index": 2952,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 2; m = v + 8; o = 3; p = o + 3; r = j + 8; l = m + 14; n = l + 11; y = n + 6; s = p + 14; e = r + 2; j = s + 6; v = o + 4; x = y + 11. If o = 3, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"w": "d + 11", "q": "w + 12", "k": "q + 15", "f": "k + 18", "v": "f + 12", "y": "v + 9", "x": "d + 7", "l": "x + 15", "t": "l + 13", "s": "t + 2", "c": "s + 13", "e": "c + 8", "d": 5}, "premises": {"d": 5}, "target": "y"}, "answer": {"steps": [["v", "f + 12", "f + 21"], ["f", "k + 18", "k + 39"], ["k", "q + 15", "q + 54"], ["q", "w + 12", "w + 66"], ["w", "d + 11", "d + 77"], ["d", 5, "82"]], "target_var_name": "y", "target_value": 82, "value_dict": {"d": 5}, "is_reverse": true}}
| 2,953
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = v + 9; w = d + 11; e = c + 8; v = f + 12; l = x + 15; s = t + 2; c = s + 13; d = 5; t = l + 13; k = q + 15; q = w + 12; x = d + 7; f = k + 18. If d = 5, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 12 to y, which gives y = f + 21.\n2. Substitute f = k + 18 to y, which gives y = k + 39.\n3. Substitute k = q + 15 to y, which gives y = q + 54.\n4. Substitute q = w + 12 to y, which gives y = w + 66.\n5. Substitute w = d + 11 to y, which gives y = d + 77.\n6. Substitute d = 5 to y, which gives y = 82.\n\nThus, the final answer is y = \\boxed{82}.",
"index": 2953,
"question": "Consider a system of variables where each variable is defined as follows: y = v + 9; w = d + 11; e = c + 8; v = f + 12; l = x + 15; s = t + 2; c = s + 13; d = 5; t = l + 13; k = q + 15; q = w + 12; x = d + 7; f = k + 18. If d = 5, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"u": "e + 18", "w": "u + 8", "v": "w + 5", "a": "v + 10", "f": "a + 10", "l": "f + 14", "s": "e + 10", "b": "s + 18", "r": "b + 7", "g": "r + 4", "p": "g + 10", "y": "p + 8", "e": 20}, "premises": {"e": 20}, "target": "l"}, "answer": {"steps": [["f", "a + 10", "a + 24"], ["a", "v + 10", "v + 34"], ["v", "w + 5", "w + 39"], ["w", "u + 8", "u + 47"], ["u", "e + 18", "e + 65"], ["e", 20, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"e": 20}, "is_reverse": true}}
| 2,954
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = s + 18; v = w + 5; w = u + 8; e = 20; u = e + 18; f = a + 10; y = p + 8; g = r + 4; s = e + 10; l = f + 14; p = g + 10; r = b + 7; a = v + 10. Given that e = 20, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 10 to l, which gives l = a + 24.\n2. Substitute a = v + 10 to l, which gives l = v + 34.\n3. Substitute v = w + 5 to l, which gives l = w + 39.\n4. Substitute w = u + 8 to l, which gives l = u + 47.\n5. Substitute u = e + 18 to l, which gives l = e + 65.\n6. Substitute e = 20 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 2954,
"question": "Suppose a collection of variables is related by the following definitions: b = s + 18; v = w + 5; w = u + 8; e = 20; u = e + 18; f = a + 10; y = p + 8; g = r + 4; s = e + 10; l = f + 14; p = g + 10; r = b + 7; a = v + 10. Given that e = 20, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"u": "s + 8", "l": "u + 7", "a": "l + 15", "q": "a + 4", "b": "q + 2", "i": "b + 20", "o": "s + 17", "e": "o + 11", "m": "e + 6", "z": "m + 1", "p": "z + 19", "f": "p + 13", "s": 7}, "premises": {"s": 7}, "target": "i"}, "answer": {"steps": [["b", "q + 2", "q + 22"], ["q", "a + 4", "a + 26"], ["a", "l + 15", "l + 41"], ["l", "u + 7", "u + 48"], ["u", "s + 8", "s + 56"], ["s", 7, "63"]], "target_var_name": "i", "target_value": 63, "value_dict": {"s": 7}, "is_reverse": true}}
| 2,955
| 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 = s + 17; s = 7; q = a + 4; m = e + 6; p = z + 19; z = m + 1; a = l + 15; e = o + 11; b = q + 2; u = s + 8; l = u + 7; f = p + 13; i = b + 20. If s = 7, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 2 to i, which gives i = q + 22.\n2. Substitute q = a + 4 to i, which gives i = a + 26.\n3. Substitute a = l + 15 to i, which gives i = l + 41.\n4. Substitute l = u + 7 to i, which gives i = u + 48.\n5. Substitute u = s + 8 to i, which gives i = s + 56.\n6. Substitute s = 7 to i, which gives i = 63.\n\nThus, the final answer is i = \\boxed{63}.",
"index": 2955,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = s + 17; s = 7; q = a + 4; m = e + 6; p = z + 19; z = m + 1; a = l + 15; e = o + 11; b = q + 2; u = s + 8; l = u + 7; f = p + 13; i = b + 20. If s = 7, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"h": "y + 15", "f": "h + 18", "e": "f + 9", "b": "e + 12", "k": "b + 16", "c": "k + 20", "d": "y + 1", "n": "d + 5", "i": "n + 10", "r": "i + 14", "a": "r + 11", "t": "a + 15", "y": 4}, "premises": {"y": 4}, "target": "c"}, "answer": {"steps": [["k", "b + 16", "b + 36"], ["b", "e + 12", "e + 48"], ["e", "f + 9", "f + 57"], ["f", "h + 18", "h + 75"], ["h", "y + 15", "y + 90"], ["y", 4, "94"]], "target_var_name": "c", "target_value": 94, "value_dict": {"y": 4}, "is_reverse": true}}
| 2,956
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = y + 1; h = y + 15; n = d + 5; y = 4; a = r + 11; t = a + 15; c = k + 20; b = e + 12; i = n + 10; r = i + 14; k = b + 16; e = f + 9; f = h + 18. If y = 4, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 16 to c, which gives c = b + 36.\n2. Substitute b = e + 12 to c, which gives c = e + 48.\n3. Substitute e = f + 9 to c, which gives c = f + 57.\n4. Substitute f = h + 18 to c, which gives c = h + 75.\n5. Substitute h = y + 15 to c, which gives c = y + 90.\n6. Substitute y = 4 to c, which gives c = 94.\n\nThus, the final answer is c = \\boxed{94}.",
"index": 2956,
"question": "Consider a system of variables where each variable is defined as follows: d = y + 1; h = y + 15; n = d + 5; y = 4; a = r + 11; t = a + 15; c = k + 20; b = e + 12; i = n + 10; r = i + 14; k = b + 16; e = f + 9; f = h + 18. If y = 4, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"r": "u + 6", "m": "r + 20", "k": "m + 6", "p": "k + 7", "o": "p + 8", "i": "o + 20", "f": "u + 10", "x": "f + 10", "n": "x + 4", "d": "n + 8", "b": "d + 16", "g": "b + 11", "u": 16}, "premises": {"u": 16}, "target": "i"}, "answer": {"steps": [["o", "p + 8", "p + 28"], ["p", "k + 7", "k + 35"], ["k", "m + 6", "m + 41"], ["m", "r + 20", "r + 61"], ["r", "u + 6", "u + 67"], ["u", 16, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"u": 16}, "is_reverse": true}}
| 2,957
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = f + 10; i = o + 20; g = b + 11; f = u + 10; u = 16; b = d + 16; o = p + 8; m = r + 20; p = k + 7; n = x + 4; r = u + 6; k = m + 6; d = n + 8. If u = 16, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 8 to i, which gives i = p + 28.\n2. Substitute p = k + 7 to i, which gives i = k + 35.\n3. Substitute k = m + 6 to i, which gives i = m + 41.\n4. Substitute m = r + 20 to i, which gives i = r + 61.\n5. Substitute r = u + 6 to i, which gives i = u + 67.\n6. Substitute u = 16 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 2957,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = f + 10; i = o + 20; g = b + 11; f = u + 10; u = 16; b = d + 16; o = p + 8; m = r + 20; p = k + 7; n = x + 4; r = u + 6; k = m + 6; d = n + 8. If u = 16, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"d": "q + 2", "v": "d + 5", "b": "v + 20", "t": "b + 14", "r": "t + 6", "z": "r + 12", "s": "q + 16", "x": "s + 8", "y": "x + 16", "j": "y + 4", "c": "j + 6", "w": "c + 13", "q": 16}, "premises": {"q": 16}, "target": "z"}, "answer": {"steps": [["r", "t + 6", "t + 18"], ["t", "b + 14", "b + 32"], ["b", "v + 20", "v + 52"], ["v", "d + 5", "d + 57"], ["d", "q + 2", "q + 59"], ["q", 16, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"q": 16}, "is_reverse": true}}
| 2,958
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 12; t = b + 14; c = j + 6; b = v + 20; r = t + 6; v = d + 5; j = y + 4; d = q + 2; s = q + 16; x = s + 8; y = x + 16; q = 16; w = c + 13. If q = 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 r = t + 6 to z, which gives z = t + 18.\n2. Substitute t = b + 14 to z, which gives z = b + 32.\n3. Substitute b = v + 20 to z, which gives z = v + 52.\n4. Substitute v = d + 5 to z, which gives z = d + 57.\n5. Substitute d = q + 2 to z, which gives z = q + 59.\n6. Substitute q = 16 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 2958,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 12; t = b + 14; c = j + 6; b = v + 20; r = t + 6; v = d + 5; j = y + 4; d = q + 2; s = q + 16; x = s + 8; y = x + 16; q = 16; w = c + 13. If q = 16, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"m": "u + 16", "r": "m + 11", "o": "r + 9", "y": "o + 19", "t": "y + 18", "h": "t + 20", "z": "u + 13", "e": "z + 9", "g": "e + 3", "l": "g + 9", "c": "l + 10", "w": "c + 3", "u": 5}, "premises": {"u": 5}, "target": "h"}, "answer": {"steps": [["t", "y + 18", "y + 38"], ["y", "o + 19", "o + 57"], ["o", "r + 9", "r + 66"], ["r", "m + 11", "m + 77"], ["m", "u + 16", "u + 93"], ["u", 5, "98"]], "target_var_name": "h", "target_value": 98, "value_dict": {"u": 5}, "is_reverse": true}}
| 2,959
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 18; u = 5; m = u + 16; r = m + 11; e = z + 9; h = t + 20; g = e + 3; y = o + 19; l = g + 9; o = r + 9; c = l + 10; z = u + 13; w = c + 3. If u = 5, what is the resulting 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 t = y + 18 to h, which gives h = y + 38.\n2. Substitute y = o + 19 to h, which gives h = o + 57.\n3. Substitute o = r + 9 to h, which gives h = r + 66.\n4. Substitute r = m + 11 to h, which gives h = m + 77.\n5. Substitute m = u + 16 to h, which gives h = u + 93.\n6. Substitute u = 5 to h, which gives h = 98.\n\nThus, the final answer is h = \\boxed{98}.",
"index": 2959,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 18; u = 5; m = u + 16; r = m + 11; e = z + 9; h = t + 20; g = e + 3; y = o + 19; l = g + 9; o = r + 9; c = l + 10; z = u + 13; w = c + 3. If u = 5, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"x": "e + 5", "l": "x + 9", "w": "l + 16", "j": "w + 20", "b": "j + 5", "r": "b + 5", "g": "e + 10", "t": "g + 1", "u": "t + 12", "a": "u + 6", "h": "a + 6", "d": "h + 8", "e": 4}, "premises": {"e": 4}, "target": "r"}, "answer": {"steps": [["b", "j + 5", "j + 10"], ["j", "w + 20", "w + 30"], ["w", "l + 16", "l + 46"], ["l", "x + 9", "x + 55"], ["x", "e + 5", "e + 60"], ["e", 4, "64"]], "target_var_name": "r", "target_value": 64, "value_dict": {"e": 4}, "is_reverse": true}}
| 2,960
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = l + 16; b = j + 5; r = b + 5; g = e + 10; d = h + 8; l = x + 9; x = e + 5; u = t + 12; j = w + 20; e = 4; h = a + 6; t = g + 1; a = u + 6. Given that e = 4, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 5 to r, which gives r = j + 10.\n2. Substitute j = w + 20 to r, which gives r = w + 30.\n3. Substitute w = l + 16 to r, which gives r = l + 46.\n4. Substitute l = x + 9 to r, which gives r = x + 55.\n5. Substitute x = e + 5 to r, which gives r = e + 60.\n6. Substitute e = 4 to r, which gives r = 64.\n\nThus, the final answer is r = \\boxed{64}.",
"index": 2960,
"question": "Suppose a collection of variables is related by the following definitions: w = l + 16; b = j + 5; r = b + 5; g = e + 10; d = h + 8; l = x + 9; x = e + 5; u = t + 12; j = w + 20; e = 4; h = a + 6; t = g + 1; a = u + 6. Given that e = 4, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"f": "o + 7", "v": "f + 18", "p": "v + 19", "m": "p + 8", "j": "m + 5", "y": "j + 4", "t": "o + 14", "k": "t + 6", "l": "k + 11", "u": "l + 15", "w": "u + 18", "q": "w + 14", "o": 18}, "premises": {"o": 18}, "target": "y"}, "answer": {"steps": [["j", "m + 5", "m + 9"], ["m", "p + 8", "p + 17"], ["p", "v + 19", "v + 36"], ["v", "f + 18", "f + 54"], ["f", "o + 7", "o + 61"], ["o", 18, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"o": 18}, "is_reverse": true}}
| 2,961
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = l + 15; y = j + 4; q = w + 14; m = p + 8; l = k + 11; t = o + 14; v = f + 18; f = o + 7; p = v + 19; w = u + 18; k = t + 6; j = m + 5; o = 18. If o = 18, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 5 to y, which gives y = m + 9.\n2. Substitute m = p + 8 to y, which gives y = p + 17.\n3. Substitute p = v + 19 to y, which gives y = v + 36.\n4. Substitute v = f + 18 to y, which gives y = f + 54.\n5. Substitute f = o + 7 to y, which gives y = o + 61.\n6. Substitute o = 18 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 2961,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = l + 15; y = j + 4; q = w + 14; m = p + 8; l = k + 11; t = o + 14; v = f + 18; f = o + 7; p = v + 19; w = u + 18; k = t + 6; j = m + 5; o = 18. If o = 18, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 1", "g": "c + 20", "n": "g + 6", "j": "n + 15", "y": "j + 2", "o": "y + 19", "w": "d + 2", "f": "w + 5", "l": "f + 10", "s": "l + 5", "r": "s + 9", "i": "r + 18", "d": 8}, "premises": {"d": 8}, "target": "o"}, "answer": {"steps": [["y", "j + 2", "j + 21"], ["j", "n + 15", "n + 36"], ["n", "g + 6", "g + 42"], ["g", "c + 20", "c + 62"], ["c", "d + 1", "d + 63"], ["d", 8, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"d": 8}, "is_reverse": true}}
| 2,962
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = 8; j = n + 15; f = w + 5; i = r + 18; g = c + 20; l = f + 10; y = j + 2; s = l + 5; r = s + 9; w = d + 2; c = d + 1; n = g + 6; o = y + 19. If d = 8, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 2 to o, which gives o = j + 21.\n2. Substitute j = n + 15 to o, which gives o = n + 36.\n3. Substitute n = g + 6 to o, which gives o = g + 42.\n4. Substitute g = c + 20 to o, which gives o = c + 62.\n5. Substitute c = d + 1 to o, which gives o = d + 63.\n6. Substitute d = 8 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 2962,
"question": "Consider a system of variables where each variable is defined as follows: d = 8; j = n + 15; f = w + 5; i = r + 18; g = c + 20; l = f + 10; y = j + 2; s = l + 5; r = s + 9; w = d + 2; c = d + 1; n = g + 6; o = y + 19. If d = 8, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"x": "c + 17", "w": "x + 19", "l": "w + 8", "j": "l + 15", "t": "j + 9", "k": "t + 17", "i": "c + 9", "v": "i + 12", "q": "v + 7", "n": "q + 20", "m": "n + 18", "p": "m + 16", "c": 15}, "premises": {"c": 15}, "target": "k"}, "answer": {"steps": [["t", "j + 9", "j + 26"], ["j", "l + 15", "l + 41"], ["l", "w + 8", "w + 49"], ["w", "x + 19", "x + 68"], ["x", "c + 17", "c + 85"], ["c", 15, "100"]], "target_var_name": "k", "target_value": 100, "value_dict": {"c": 15}, "is_reverse": true}}
| 2,963
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 9; k = t + 17; w = x + 19; x = c + 17; q = v + 7; i = c + 9; c = 15; v = i + 12; n = q + 20; j = l + 15; p = m + 16; m = n + 18; l = w + 8. If c = 15, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 9 to k, which gives k = j + 26.\n2. Substitute j = l + 15 to k, which gives k = l + 41.\n3. Substitute l = w + 8 to k, which gives k = w + 49.\n4. Substitute w = x + 19 to k, which gives k = x + 68.\n5. Substitute x = c + 17 to k, which gives k = c + 85.\n6. Substitute c = 15 to k, which gives k = 100.\n\nThus, the final answer is k = \\boxed{100}.",
"index": 2963,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 9; k = t + 17; w = x + 19; x = c + 17; q = v + 7; i = c + 9; c = 15; v = i + 12; n = q + 20; j = l + 15; p = m + 16; m = n + 18; l = w + 8. If c = 15, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"q": "r + 10", "y": "q + 10", "s": "y + 16", "b": "s + 4", "u": "b + 14", "f": "u + 18", "z": "r + 6", "d": "z + 20", "h": "d + 15", "a": "h + 14", "w": "a + 18", "o": "w + 15", "r": 16}, "premises": {"r": 16}, "target": "f"}, "answer": {"steps": [["u", "b + 14", "b + 32"], ["b", "s + 4", "s + 36"], ["s", "y + 16", "y + 52"], ["y", "q + 10", "q + 62"], ["q", "r + 10", "r + 72"], ["r", 16, "88"]], "target_var_name": "f", "target_value": 88, "value_dict": {"r": 16}, "is_reverse": true}}
| 2,964
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = r + 10; y = q + 10; d = z + 20; h = d + 15; z = r + 6; a = h + 14; s = y + 16; o = w + 15; f = u + 18; r = 16; b = s + 4; w = a + 18; u = b + 14. If r = 16, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 14 to f, which gives f = b + 32.\n2. Substitute b = s + 4 to f, which gives f = s + 36.\n3. Substitute s = y + 16 to f, which gives f = y + 52.\n4. Substitute y = q + 10 to f, which gives f = q + 62.\n5. Substitute q = r + 10 to f, which gives f = r + 72.\n6. Substitute r = 16 to f, which gives f = 88.\n\nThus, the final answer is f = \\boxed{88}.",
"index": 2964,
"question": "Consider a system of variables where each variable is defined as follows: q = r + 10; y = q + 10; d = z + 20; h = d + 15; z = r + 6; a = h + 14; s = y + 16; o = w + 15; f = u + 18; r = 16; b = s + 4; w = a + 18; u = b + 14. If r = 16, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"v": "m + 2", "z": "v + 16", "t": "z + 19", "x": "t + 11", "h": "x + 19", "l": "h + 16", "o": "m + 20", "p": "o + 2", "e": "p + 3", "f": "e + 19", "u": "f + 16", "y": "u + 10", "m": 15}, "premises": {"m": 15}, "target": "l"}, "answer": {"steps": [["h", "x + 19", "x + 35"], ["x", "t + 11", "t + 46"], ["t", "z + 19", "z + 65"], ["z", "v + 16", "v + 81"], ["v", "m + 2", "m + 83"], ["m", 15, "98"]], "target_var_name": "l", "target_value": 98, "value_dict": {"m": 15}, "is_reverse": true}}
| 2,965
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = m + 20; u = f + 16; y = u + 10; e = p + 3; l = h + 16; x = t + 11; h = x + 19; z = v + 16; f = e + 19; t = z + 19; p = o + 2; v = m + 2; m = 15. Given that m = 15, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 19 to l, which gives l = x + 35.\n2. Substitute x = t + 11 to l, which gives l = t + 46.\n3. Substitute t = z + 19 to l, which gives l = z + 65.\n4. Substitute z = v + 16 to l, which gives l = v + 81.\n5. Substitute v = m + 2 to l, which gives l = m + 83.\n6. Substitute m = 15 to l, which gives l = 98.\n\nThus, the final answer is l = \\boxed{98}.",
"index": 2965,
"question": "Suppose a collection of variables is related by the following definitions: o = m + 20; u = f + 16; y = u + 10; e = p + 3; l = h + 16; x = t + 11; h = x + 19; z = v + 16; f = e + 19; t = z + 19; p = o + 2; v = m + 2; m = 15. Given that m = 15, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"t": "b + 10", "k": "t + 14", "j": "k + 4", "g": "j + 5", "c": "g + 3", "l": "c + 13", "a": "b + 19", "v": "a + 19", "q": "v + 17", "f": "q + 7", "r": "f + 20", "m": "r + 16", "b": 19}, "premises": {"b": 19}, "target": "l"}, "answer": {"steps": [["c", "g + 3", "g + 16"], ["g", "j + 5", "j + 21"], ["j", "k + 4", "k + 25"], ["k", "t + 14", "t + 39"], ["t", "b + 10", "b + 49"], ["b", 19, "68"]], "target_var_name": "l", "target_value": 68, "value_dict": {"b": 19}, "is_reverse": true}}
| 2,966
| 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 = 19; j = k + 4; k = t + 14; g = j + 5; l = c + 13; t = b + 10; a = b + 19; c = g + 3; f = q + 7; v = a + 19; r = f + 20; m = r + 16; q = v + 17. If b = 19, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 3 to l, which gives l = g + 16.\n2. Substitute g = j + 5 to l, which gives l = j + 21.\n3. Substitute j = k + 4 to l, which gives l = k + 25.\n4. Substitute k = t + 14 to l, which gives l = t + 39.\n5. Substitute t = b + 10 to l, which gives l = b + 49.\n6. Substitute b = 19 to l, which gives l = 68.\n\nThus, the final answer is l = \\boxed{68}.",
"index": 2966,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = 19; j = k + 4; k = t + 14; g = j + 5; l = c + 13; t = b + 10; a = b + 19; c = g + 3; f = q + 7; v = a + 19; r = f + 20; m = r + 16; q = v + 17. If b = 19, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"m": "r + 7", "z": "m + 9", "b": "z + 16", "y": "b + 6", "f": "y + 4", "p": "f + 1", "l": "r + 6", "u": "l + 11", "k": "u + 20", "o": "k + 17", "q": "o + 18", "g": "q + 7", "r": 7}, "premises": {"r": 7}, "target": "p"}, "answer": {"steps": [["f", "y + 4", "y + 5"], ["y", "b + 6", "b + 11"], ["b", "z + 16", "z + 27"], ["z", "m + 9", "m + 36"], ["m", "r + 7", "r + 43"], ["r", 7, "50"]], "target_var_name": "p", "target_value": 50, "value_dict": {"r": 7}, "is_reverse": true}}
| 2,967
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = m + 9; u = l + 11; y = b + 6; m = r + 7; l = r + 6; p = f + 1; b = z + 16; r = 7; o = k + 17; q = o + 18; g = q + 7; k = u + 20; f = y + 4. If r = 7, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 4 to p, which gives p = y + 5.\n2. Substitute y = b + 6 to p, which gives p = b + 11.\n3. Substitute b = z + 16 to p, which gives p = z + 27.\n4. Substitute z = m + 9 to p, which gives p = m + 36.\n5. Substitute m = r + 7 to p, which gives p = r + 43.\n6. Substitute r = 7 to p, which gives p = 50.\n\nThus, the final answer is p = \\boxed{50}.",
"index": 2967,
"question": "Consider a system of variables where each variable is defined as follows: z = m + 9; u = l + 11; y = b + 6; m = r + 7; l = r + 6; p = f + 1; b = z + 16; r = 7; o = k + 17; q = o + 18; g = q + 7; k = u + 20; f = y + 4. If r = 7, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"z": "n + 3", "h": "z + 3", "q": "h + 15", "v": "q + 12", "g": "v + 3", "c": "g + 3", "u": "n + 5", "s": "u + 1", "j": "s + 19", "k": "j + 10", "e": "k + 7", "l": "e + 20", "n": 16}, "premises": {"n": 16}, "target": "c"}, "answer": {"steps": [["g", "v + 3", "v + 6"], ["v", "q + 12", "q + 18"], ["q", "h + 15", "h + 33"], ["h", "z + 3", "z + 36"], ["z", "n + 3", "n + 39"], ["n", 16, "55"]], "target_var_name": "c", "target_value": 55, "value_dict": {"n": 16}, "is_reverse": true}}
| 2,968
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = s + 19; v = q + 12; c = g + 3; g = v + 3; l = e + 20; k = j + 10; u = n + 5; q = h + 15; s = u + 1; n = 16; z = n + 3; h = z + 3; e = k + 7. Given that n = 16, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 3 to c, which gives c = v + 6.\n2. Substitute v = q + 12 to c, which gives c = q + 18.\n3. Substitute q = h + 15 to c, which gives c = h + 33.\n4. Substitute h = z + 3 to c, which gives c = z + 36.\n5. Substitute z = n + 3 to c, which gives c = n + 39.\n6. Substitute n = 16 to c, which gives c = 55.\n\nThus, the final answer is c = \\boxed{55}.",
"index": 2968,
"question": "Suppose a collection of variables is related by the following definitions: j = s + 19; v = q + 12; c = g + 3; g = v + 3; l = e + 20; k = j + 10; u = n + 5; q = h + 15; s = u + 1; n = 16; z = n + 3; h = z + 3; e = k + 7. Given that n = 16, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"o": "m + 14", "t": "o + 4", "j": "t + 10", "y": "j + 6", "x": "y + 1", "u": "x + 8", "c": "m + 17", "k": "c + 13", "s": "k + 13", "g": "s + 5", "w": "g + 9", "h": "w + 18", "m": 13}, "premises": {"m": 13}, "target": "u"}, "answer": {"steps": [["x", "y + 1", "y + 9"], ["y", "j + 6", "j + 15"], ["j", "t + 10", "t + 25"], ["t", "o + 4", "o + 29"], ["o", "m + 14", "m + 43"], ["m", 13, "56"]], "target_var_name": "u", "target_value": 56, "value_dict": {"m": 13}, "is_reverse": true}}
| 2,969
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = j + 6; k = c + 13; w = g + 9; s = k + 13; t = o + 4; u = x + 8; x = y + 1; j = t + 10; h = w + 18; g = s + 5; c = m + 17; o = m + 14; m = 13. If m = 13, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 1 to u, which gives u = y + 9.\n2. Substitute y = j + 6 to u, which gives u = j + 15.\n3. Substitute j = t + 10 to u, which gives u = t + 25.\n4. Substitute t = o + 4 to u, which gives u = o + 29.\n5. Substitute o = m + 14 to u, which gives u = m + 43.\n6. Substitute m = 13 to u, which gives u = 56.\n\nThus, the final answer is u = \\boxed{56}.",
"index": 2969,
"question": "Consider a system of variables where each variable is defined as follows: y = j + 6; k = c + 13; w = g + 9; s = k + 13; t = o + 4; u = x + 8; x = y + 1; j = t + 10; h = w + 18; g = s + 5; c = m + 17; o = m + 14; m = 13. If m = 13, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"s": "n + 14", "r": "s + 17", "y": "r + 16", "v": "y + 20", "i": "v + 1", "d": "i + 20", "g": "n + 6", "k": "g + 2", "j": "k + 20", "c": "j + 15", "o": "c + 18", "t": "o + 4", "n": 6}, "premises": {"n": 6}, "target": "d"}, "answer": {"steps": [["i", "v + 1", "v + 21"], ["v", "y + 20", "y + 41"], ["y", "r + 16", "r + 57"], ["r", "s + 17", "s + 74"], ["s", "n + 14", "n + 88"], ["n", 6, "94"]], "target_var_name": "d", "target_value": 94, "value_dict": {"n": 6}, "is_reverse": true}}
| 2,970
| 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 = c + 18; g = n + 6; y = r + 16; d = i + 20; n = 6; j = k + 20; r = s + 17; c = j + 15; v = y + 20; s = n + 14; k = g + 2; i = v + 1; t = o + 4. If n = 6, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 1 to d, which gives d = v + 21.\n2. Substitute v = y + 20 to d, which gives d = y + 41.\n3. Substitute y = r + 16 to d, which gives d = r + 57.\n4. Substitute r = s + 17 to d, which gives d = s + 74.\n5. Substitute s = n + 14 to d, which gives d = n + 88.\n6. Substitute n = 6 to d, which gives d = 94.\n\nThus, the final answer is d = \\boxed{94}.",
"index": 2970,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 18; g = n + 6; y = r + 16; d = i + 20; n = 6; j = k + 20; r = s + 17; c = j + 15; v = y + 20; s = n + 14; k = g + 2; i = v + 1; t = o + 4. If n = 6, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"l": "a + 11", "x": "l + 3", "v": "x + 2", "e": "v + 20", "i": "e + 19", "f": "i + 13", "m": "a + 17", "s": "m + 19", "z": "s + 3", "u": "z + 11", "t": "u + 11", "y": "t + 11", "a": 12}, "premises": {"a": 12}, "target": "f"}, "answer": {"steps": [["i", "e + 19", "e + 32"], ["e", "v + 20", "v + 52"], ["v", "x + 2", "x + 54"], ["x", "l + 3", "l + 57"], ["l", "a + 11", "a + 68"], ["a", 12, "80"]], "target_var_name": "f", "target_value": 80, "value_dict": {"a": 12}, "is_reverse": true}}
| 2,971
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = m + 19; e = v + 20; u = z + 11; z = s + 3; i = e + 19; m = a + 17; f = i + 13; x = l + 3; v = x + 2; t = u + 11; l = a + 11; y = t + 11; a = 12. If a = 12, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 19 to f, which gives f = e + 32.\n2. Substitute e = v + 20 to f, which gives f = v + 52.\n3. Substitute v = x + 2 to f, which gives f = x + 54.\n4. Substitute x = l + 3 to f, which gives f = l + 57.\n5. Substitute l = a + 11 to f, which gives f = a + 68.\n6. Substitute a = 12 to f, which gives f = 80.\n\nThus, the final answer is f = \\boxed{80}.",
"index": 2971,
"question": "Consider a system of variables where each variable is defined as follows: s = m + 19; e = v + 20; u = z + 11; z = s + 3; i = e + 19; m = a + 17; f = i + 13; x = l + 3; v = x + 2; t = u + 11; l = a + 11; y = t + 11; a = 12. If a = 12, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"m": "g + 4", "p": "m + 17", "j": "p + 10", "w": "j + 16", "y": "w + 17", "n": "y + 20", "o": "g + 3", "r": "o + 20", "c": "r + 15", "x": "c + 4", "k": "x + 6", "s": "k + 2", "g": 18}, "premises": {"g": 18}, "target": "n"}, "answer": {"steps": [["y", "w + 17", "w + 37"], ["w", "j + 16", "j + 53"], ["j", "p + 10", "p + 63"], ["p", "m + 17", "m + 80"], ["m", "g + 4", "g + 84"], ["g", 18, "102"]], "target_var_name": "n", "target_value": 102, "value_dict": {"g": 18}, "is_reverse": true}}
| 2,972
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = m + 17; c = r + 15; x = c + 4; n = y + 20; m = g + 4; y = w + 17; j = p + 10; k = x + 6; g = 18; r = o + 20; w = j + 16; o = g + 3; s = k + 2. If g = 18, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 17 to n, which gives n = w + 37.\n2. Substitute w = j + 16 to n, which gives n = j + 53.\n3. Substitute j = p + 10 to n, which gives n = p + 63.\n4. Substitute p = m + 17 to n, which gives n = m + 80.\n5. Substitute m = g + 4 to n, which gives n = g + 84.\n6. Substitute g = 18 to n, which gives n = 102.\n\nThus, the final answer is n = \\boxed{102}.",
"index": 2972,
"question": "Consider a system of variables where each variable is defined as follows: p = m + 17; c = r + 15; x = c + 4; n = y + 20; m = g + 4; y = w + 17; j = p + 10; k = x + 6; g = 18; r = o + 20; w = j + 16; o = g + 3; s = k + 2. If g = 18, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"w": "v + 12", "p": "w + 11", "l": "p + 8", "y": "l + 15", "c": "y + 13", "a": "c + 16", "o": "v + 14", "g": "o + 15", "s": "g + 6", "b": "s + 3", "q": "b + 11", "e": "q + 11", "v": 13}, "premises": {"v": 13}, "target": "a"}, "answer": {"steps": [["c", "y + 13", "y + 29"], ["y", "l + 15", "l + 44"], ["l", "p + 8", "p + 52"], ["p", "w + 11", "w + 63"], ["w", "v + 12", "v + 75"], ["v", 13, "88"]], "target_var_name": "a", "target_value": 88, "value_dict": {"v": 13}, "is_reverse": true}}
| 2,973
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = g + 6; l = p + 8; v = 13; p = w + 11; c = y + 13; q = b + 11; e = q + 11; y = l + 15; a = c + 16; w = v + 12; g = o + 15; o = v + 14; b = s + 3. If v = 13, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 13 to a, which gives a = y + 29.\n2. Substitute y = l + 15 to a, which gives a = l + 44.\n3. Substitute l = p + 8 to a, which gives a = p + 52.\n4. Substitute p = w + 11 to a, which gives a = w + 63.\n5. Substitute w = v + 12 to a, which gives a = v + 75.\n6. Substitute v = 13 to a, which gives a = 88.\n\nThus, the final answer is a = \\boxed{88}.",
"index": 2973,
"question": "Consider a system of variables where each variable is defined as follows: s = g + 6; l = p + 8; v = 13; p = w + 11; c = y + 13; q = b + 11; e = q + 11; y = l + 15; a = c + 16; w = v + 12; g = o + 15; o = v + 14; b = s + 3. If v = 13, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"z": "p + 18", "j": "z + 11", "x": "j + 6", "u": "x + 10", "e": "u + 16", "r": "e + 16", "f": "p + 6", "a": "f + 14", "g": "a + 6", "w": "g + 11", "i": "w + 7", "o": "i + 5", "p": 17}, "premises": {"p": 17}, "target": "r"}, "answer": {"steps": [["e", "u + 16", "u + 32"], ["u", "x + 10", "x + 42"], ["x", "j + 6", "j + 48"], ["j", "z + 11", "z + 59"], ["z", "p + 18", "p + 77"], ["p", 17, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"p": 17}, "is_reverse": true}}
| 2,974
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = u + 16; z = p + 18; u = x + 10; o = i + 5; x = j + 6; w = g + 11; i = w + 7; p = 17; r = e + 16; j = z + 11; f = p + 6; g = a + 6; a = f + 14. Given that p = 17, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 16 to r, which gives r = u + 32.\n2. Substitute u = x + 10 to r, which gives r = x + 42.\n3. Substitute x = j + 6 to r, which gives r = j + 48.\n4. Substitute j = z + 11 to r, which gives r = z + 59.\n5. Substitute z = p + 18 to r, which gives r = p + 77.\n6. Substitute p = 17 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 2974,
"question": "Suppose a collection of variables is related by the following definitions: e = u + 16; z = p + 18; u = x + 10; o = i + 5; x = j + 6; w = g + 11; i = w + 7; p = 17; r = e + 16; j = z + 11; f = p + 6; g = a + 6; a = f + 14. Given that p = 17, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"q": "z + 8", "k": "q + 14", "g": "k + 18", "p": "g + 7", "y": "p + 18", "h": "y + 20", "o": "z + 7", "j": "o + 7", "f": "j + 2", "c": "f + 2", "l": "c + 7", "x": "l + 8", "z": 13}, "premises": {"z": 13}, "target": "h"}, "answer": {"steps": [["y", "p + 18", "p + 38"], ["p", "g + 7", "g + 45"], ["g", "k + 18", "k + 63"], ["k", "q + 14", "q + 77"], ["q", "z + 8", "z + 85"], ["z", 13, "98"]], "target_var_name": "h", "target_value": 98, "value_dict": {"z": 13}, "is_reverse": true}}
| 2,975
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = j + 2; x = l + 8; h = y + 20; y = p + 18; k = q + 14; g = k + 18; p = g + 7; o = z + 7; l = c + 7; z = 13; c = f + 2; q = z + 8; j = o + 7. If z = 13, determine 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 y = p + 18 to h, which gives h = p + 38.\n2. Substitute p = g + 7 to h, which gives h = g + 45.\n3. Substitute g = k + 18 to h, which gives h = k + 63.\n4. Substitute k = q + 14 to h, which gives h = q + 77.\n5. Substitute q = z + 8 to h, which gives h = z + 85.\n6. Substitute z = 13 to h, which gives h = 98.\n\nThus, the final answer is h = \\boxed{98}.",
"index": 2975,
"question": "Consider a system of variables where each variable is defined as follows: f = j + 2; x = l + 8; h = y + 20; y = p + 18; k = q + 14; g = k + 18; p = g + 7; o = z + 7; l = c + 7; z = 13; c = f + 2; q = z + 8; j = o + 7. If z = 13, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"j": "h + 11", "x": "j + 12", "q": "x + 15", "d": "q + 18", "l": "d + 5", "k": "l + 12", "r": "h + 5", "f": "r + 12", "a": "f + 14", "o": "a + 3", "c": "o + 15", "t": "c + 3", "h": 1}, "premises": {"h": 1}, "target": "k"}, "answer": {"steps": [["l", "d + 5", "d + 17"], ["d", "q + 18", "q + 35"], ["q", "x + 15", "x + 50"], ["x", "j + 12", "j + 62"], ["j", "h + 11", "h + 73"], ["h", 1, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"h": 1}, "is_reverse": true}}
| 2,976
| 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 = h + 5; l = d + 5; o = a + 3; c = o + 15; d = q + 18; x = j + 12; q = x + 15; h = 1; t = c + 3; k = l + 12; a = f + 14; f = r + 12; j = h + 11. If h = 1, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 5 to k, which gives k = d + 17.\n2. Substitute d = q + 18 to k, which gives k = q + 35.\n3. Substitute q = x + 15 to k, which gives k = x + 50.\n4. Substitute x = j + 12 to k, which gives k = j + 62.\n5. Substitute j = h + 11 to k, which gives k = h + 73.\n6. Substitute h = 1 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 2976,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 5; l = d + 5; o = a + 3; c = o + 15; d = q + 18; x = j + 12; q = x + 15; h = 1; t = c + 3; k = l + 12; a = f + 14; f = r + 12; j = h + 11. If h = 1, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"q": "m + 17", "h": "q + 7", "s": "h + 7", "u": "s + 11", "r": "u + 20", "a": "r + 6", "z": "m + 7", "y": "z + 17", "t": "y + 12", "o": "t + 16", "w": "o + 18", "e": "w + 17", "m": 6}, "premises": {"m": 6}, "target": "a"}, "answer": {"steps": [["r", "u + 20", "u + 26"], ["u", "s + 11", "s + 37"], ["s", "h + 7", "h + 44"], ["h", "q + 7", "q + 51"], ["q", "m + 17", "m + 68"], ["m", 6, "74"]], "target_var_name": "a", "target_value": 74, "value_dict": {"m": 6}, "is_reverse": true}}
| 2,977
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = m + 17; e = w + 17; u = s + 11; o = t + 16; z = m + 7; a = r + 6; m = 6; t = y + 12; s = h + 7; r = u + 20; y = z + 17; h = q + 7; w = o + 18. If m = 6, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 20 to a, which gives a = u + 26.\n2. Substitute u = s + 11 to a, which gives a = s + 37.\n3. Substitute s = h + 7 to a, which gives a = h + 44.\n4. Substitute h = q + 7 to a, which gives a = q + 51.\n5. Substitute q = m + 17 to a, which gives a = m + 68.\n6. Substitute m = 6 to a, which gives a = 74.\n\nThus, the final answer is a = \\boxed{74}.",
"index": 2977,
"question": "Consider a system of variables where each variable is defined as follows: q = m + 17; e = w + 17; u = s + 11; o = t + 16; z = m + 7; a = r + 6; m = 6; t = y + 12; s = h + 7; r = u + 20; y = z + 17; h = q + 7; w = o + 18. If m = 6, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"h": "n + 5", "s": "h + 15", "m": "s + 13", "o": "m + 1", "d": "o + 11", "a": "d + 12", "v": "n + 13", "x": "v + 13", "e": "x + 16", "f": "e + 13", "b": "f + 19", "j": "b + 14", "n": 6}, "premises": {"n": 6}, "target": "a"}, "answer": {"steps": [["d", "o + 11", "o + 23"], ["o", "m + 1", "m + 24"], ["m", "s + 13", "s + 37"], ["s", "h + 15", "h + 52"], ["h", "n + 5", "n + 57"], ["n", 6, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"n": 6}, "is_reverse": true}}
| 2,978
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = s + 13; h = n + 5; v = n + 13; d = o + 11; s = h + 15; o = m + 1; a = d + 12; n = 6; b = f + 19; x = v + 13; f = e + 13; e = x + 16; j = b + 14. If n = 6, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 11 to a, which gives a = o + 23.\n2. Substitute o = m + 1 to a, which gives a = m + 24.\n3. Substitute m = s + 13 to a, which gives a = s + 37.\n4. Substitute s = h + 15 to a, which gives a = h + 52.\n5. Substitute h = n + 5 to a, which gives a = n + 57.\n6. Substitute n = 6 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 2978,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = s + 13; h = n + 5; v = n + 13; d = o + 11; s = h + 15; o = m + 1; a = d + 12; n = 6; b = f + 19; x = v + 13; f = e + 13; e = x + 16; j = b + 14. If n = 6, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"o": "t + 17", "m": "o + 2", "a": "m + 20", "u": "a + 3", "z": "u + 11", "i": "z + 16", "d": "t + 5", "b": "d + 13", "j": "b + 9", "n": "j + 1", "s": "n + 14", "p": "s + 19", "t": 20}, "premises": {"t": 20}, "target": "i"}, "answer": {"steps": [["z", "u + 11", "u + 27"], ["u", "a + 3", "a + 30"], ["a", "m + 20", "m + 50"], ["m", "o + 2", "o + 52"], ["o", "t + 17", "t + 69"], ["t", 20, "89"]], "target_var_name": "i", "target_value": 89, "value_dict": {"t": 20}, "is_reverse": true}}
| 2,979
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = o + 2; n = j + 1; u = a + 3; t = 20; a = m + 20; b = d + 13; p = s + 19; o = t + 17; z = u + 11; s = n + 14; d = t + 5; j = b + 9; i = z + 16. Given that t = 20, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 11 to i, which gives i = u + 27.\n2. Substitute u = a + 3 to i, which gives i = a + 30.\n3. Substitute a = m + 20 to i, which gives i = m + 50.\n4. Substitute m = o + 2 to i, which gives i = o + 52.\n5. Substitute o = t + 17 to i, which gives i = t + 69.\n6. Substitute t = 20 to i, which gives i = 89.\n\nThus, the final answer is i = \\boxed{89}.",
"index": 2979,
"question": "Suppose a collection of variables is related by the following definitions: m = o + 2; n = j + 1; u = a + 3; t = 20; a = m + 20; b = d + 13; p = s + 19; o = t + 17; z = u + 11; s = n + 14; d = t + 5; j = b + 9; i = z + 16. Given that t = 20, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"v": "q + 18", "m": "v + 8", "f": "m + 13", "z": "f + 14", "g": "z + 10", "w": "g + 14", "s": "q + 15", "o": "s + 5", "j": "o + 1", "e": "j + 17", "n": "e + 16", "u": "n + 2", "q": 8}, "premises": {"q": 8}, "target": "w"}, "answer": {"steps": [["g", "z + 10", "z + 24"], ["z", "f + 14", "f + 38"], ["f", "m + 13", "m + 51"], ["m", "v + 8", "v + 59"], ["v", "q + 18", "q + 77"], ["q", 8, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"q": 8}, "is_reverse": true}}
| 2,980
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = e + 16; u = n + 2; v = q + 18; s = q + 15; z = f + 14; j = o + 1; w = g + 14; e = j + 17; f = m + 13; g = z + 10; q = 8; m = v + 8; o = s + 5. Given that q = 8, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 10 to w, which gives w = z + 24.\n2. Substitute z = f + 14 to w, which gives w = f + 38.\n3. Substitute f = m + 13 to w, which gives w = m + 51.\n4. Substitute m = v + 8 to w, which gives w = v + 59.\n5. Substitute v = q + 18 to w, which gives w = q + 77.\n6. Substitute q = 8 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 2980,
"question": "Suppose a collection of variables is related by the following definitions: n = e + 16; u = n + 2; v = q + 18; s = q + 15; z = f + 14; j = o + 1; w = g + 14; e = j + 17; f = m + 13; g = z + 10; q = 8; m = v + 8; o = s + 5. Given that q = 8, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"f": "c + 17", "h": "f + 12", "p": "h + 2", "t": "p + 13", "n": "t + 16", "u": "n + 16", "v": "c + 5", "g": "v + 18", "y": "g + 11", "b": "y + 5", "z": "b + 20", "j": "z + 4", "c": 18}, "premises": {"c": 18}, "target": "u"}, "answer": {"steps": [["n", "t + 16", "t + 32"], ["t", "p + 13", "p + 45"], ["p", "h + 2", "h + 47"], ["h", "f + 12", "f + 59"], ["f", "c + 17", "c + 76"], ["c", 18, "94"]], "target_var_name": "u", "target_value": 94, "value_dict": {"c": 18}, "is_reverse": true}}
| 2,981
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = g + 11; j = z + 4; p = h + 2; h = f + 12; g = v + 18; n = t + 16; b = y + 5; c = 18; u = n + 16; f = c + 17; z = b + 20; v = c + 5; t = p + 13. Given that c = 18, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 16 to u, which gives u = t + 32.\n2. Substitute t = p + 13 to u, which gives u = p + 45.\n3. Substitute p = h + 2 to u, which gives u = h + 47.\n4. Substitute h = f + 12 to u, which gives u = f + 59.\n5. Substitute f = c + 17 to u, which gives u = c + 76.\n6. Substitute c = 18 to u, which gives u = 94.\n\nThus, the final answer is u = \\boxed{94}.",
"index": 2981,
"question": "Suppose a collection of variables is related by the following definitions: y = g + 11; j = z + 4; p = h + 2; h = f + 12; g = v + 18; n = t + 16; b = y + 5; c = 18; u = n + 16; f = c + 17; z = b + 20; v = c + 5; t = p + 13. Given that c = 18, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"q": "l + 3", "h": "q + 17", "z": "h + 12", "c": "z + 17", "g": "c + 5", "f": "g + 11", "t": "l + 7", "m": "t + 10", "s": "m + 13", "x": "s + 1", "b": "x + 20", "e": "b + 11", "l": 10}, "premises": {"l": 10}, "target": "f"}, "answer": {"steps": [["g", "c + 5", "c + 16"], ["c", "z + 17", "z + 33"], ["z", "h + 12", "h + 45"], ["h", "q + 17", "q + 62"], ["q", "l + 3", "l + 65"], ["l", 10, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"l": 10}, "is_reverse": true}}
| 2,982
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = c + 5; x = s + 1; q = l + 3; e = b + 11; l = 10; c = z + 17; m = t + 10; h = q + 17; f = g + 11; t = l + 7; z = h + 12; s = m + 13; b = x + 20. If l = 10, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 5 to f, which gives f = c + 16.\n2. Substitute c = z + 17 to f, which gives f = z + 33.\n3. Substitute z = h + 12 to f, which gives f = h + 45.\n4. Substitute h = q + 17 to f, which gives f = q + 62.\n5. Substitute q = l + 3 to f, which gives f = l + 65.\n6. Substitute l = 10 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 2982,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = c + 5; x = s + 1; q = l + 3; e = b + 11; l = 10; c = z + 17; m = t + 10; h = q + 17; f = g + 11; t = l + 7; z = h + 12; s = m + 13; b = x + 20. If l = 10, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"j": "g + 12", "n": "j + 7", "x": "n + 6", "u": "x + 6", "q": "u + 12", "h": "q + 12", "z": "g + 16", "y": "z + 17", "k": "y + 12", "d": "k + 13", "m": "d + 15", "r": "m + 5", "g": 5}, "premises": {"g": 5}, "target": "h"}, "answer": {"steps": [["q", "u + 12", "u + 24"], ["u", "x + 6", "x + 30"], ["x", "n + 6", "n + 36"], ["n", "j + 7", "j + 43"], ["j", "g + 12", "g + 55"], ["g", 5, "60"]], "target_var_name": "h", "target_value": 60, "value_dict": {"g": 5}, "is_reverse": true}}
| 2,983
| 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 = g + 12; k = y + 12; z = g + 16; m = d + 15; y = z + 17; r = m + 5; g = 5; d = k + 13; h = q + 12; x = n + 6; q = u + 12; n = j + 7; u = x + 6. If g = 5, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 12 to h, which gives h = u + 24.\n2. Substitute u = x + 6 to h, which gives h = x + 30.\n3. Substitute x = n + 6 to h, which gives h = n + 36.\n4. Substitute n = j + 7 to h, which gives h = j + 43.\n5. Substitute j = g + 12 to h, which gives h = g + 55.\n6. Substitute g = 5 to h, which gives h = 60.\n\nThus, the final answer is h = \\boxed{60}.",
"index": 2983,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = g + 12; k = y + 12; z = g + 16; m = d + 15; y = z + 17; r = m + 5; g = 5; d = k + 13; h = q + 12; x = n + 6; q = u + 12; n = j + 7; u = x + 6. If g = 5, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"y": "z + 14", "i": "y + 3", "m": "i + 11", "c": "m + 19", "h": "c + 12", "e": "h + 4", "r": "z + 14", "b": "r + 15", "d": "b + 17", "l": "d + 4", "n": "l + 11", "k": "n + 10", "z": 9}, "premises": {"z": 9}, "target": "e"}, "answer": {"steps": [["h", "c + 12", "c + 16"], ["c", "m + 19", "m + 35"], ["m", "i + 11", "i + 46"], ["i", "y + 3", "y + 49"], ["y", "z + 14", "z + 63"], ["z", 9, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"z": 9}, "is_reverse": true}}
| 2,984
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = y + 3; l = d + 4; k = n + 10; r = z + 14; z = 9; d = b + 17; h = c + 12; b = r + 15; n = l + 11; c = m + 19; e = h + 4; y = z + 14; m = i + 11. Given that z = 9, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 12 to e, which gives e = c + 16.\n2. Substitute c = m + 19 to e, which gives e = m + 35.\n3. Substitute m = i + 11 to e, which gives e = i + 46.\n4. Substitute i = y + 3 to e, which gives e = y + 49.\n5. Substitute y = z + 14 to e, which gives e = z + 63.\n6. Substitute z = 9 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 2984,
"question": "Suppose a collection of variables is related by the following definitions: i = y + 3; l = d + 4; k = n + 10; r = z + 14; z = 9; d = b + 17; h = c + 12; b = r + 15; n = l + 11; c = m + 19; e = h + 4; y = z + 14; m = i + 11. Given that z = 9, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"c": "u + 8", "f": "c + 1", "a": "f + 4", "n": "a + 4", "d": "n + 12", "m": "d + 15", "r": "u + 3", "k": "r + 1", "q": "k + 3", "h": "q + 9", "z": "h + 8", "y": "z + 9", "u": 5}, "premises": {"u": 5}, "target": "m"}, "answer": {"steps": [["d", "n + 12", "n + 27"], ["n", "a + 4", "a + 31"], ["a", "f + 4", "f + 35"], ["f", "c + 1", "c + 36"], ["c", "u + 8", "u + 44"], ["u", 5, "49"]], "target_var_name": "m", "target_value": 49, "value_dict": {"u": 5}, "is_reverse": true}}
| 2,985
| 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 = c + 1; d = n + 12; m = d + 15; u = 5; q = k + 3; z = h + 8; c = u + 8; h = q + 9; a = f + 4; k = r + 1; y = z + 9; n = a + 4; r = u + 3. If u = 5, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 12 to m, which gives m = n + 27.\n2. Substitute n = a + 4 to m, which gives m = a + 31.\n3. Substitute a = f + 4 to m, which gives m = f + 35.\n4. Substitute f = c + 1 to m, which gives m = c + 36.\n5. Substitute c = u + 8 to m, which gives m = u + 44.\n6. Substitute u = 5 to m, which gives m = 49.\n\nThus, the final answer is m = \\boxed{49}.",
"index": 2985,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = c + 1; d = n + 12; m = d + 15; u = 5; q = k + 3; z = h + 8; c = u + 8; h = q + 9; a = f + 4; k = r + 1; y = z + 9; n = a + 4; r = u + 3. If u = 5, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"j": "l + 18", "d": "j + 17", "i": "d + 11", "f": "i + 13", "s": "f + 8", "r": "s + 5", "c": "l + 19", "y": "c + 11", "z": "y + 7", "u": "z + 11", "b": "u + 9", "m": "b + 15", "l": 11}, "premises": {"l": 11}, "target": "r"}, "answer": {"steps": [["s", "f + 8", "f + 13"], ["f", "i + 13", "i + 26"], ["i", "d + 11", "d + 37"], ["d", "j + 17", "j + 54"], ["j", "l + 18", "l + 72"], ["l", 11, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"l": 11}, "is_reverse": true}}
| 2,986
| 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 = f + 8; z = y + 7; b = u + 9; l = 11; y = c + 11; m = b + 15; f = i + 13; u = z + 11; d = j + 17; r = s + 5; c = l + 19; i = d + 11; j = l + 18. If l = 11, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 8 to r, which gives r = f + 13.\n2. Substitute f = i + 13 to r, which gives r = i + 26.\n3. Substitute i = d + 11 to r, which gives r = d + 37.\n4. Substitute d = j + 17 to r, which gives r = j + 54.\n5. Substitute j = l + 18 to r, which gives r = l + 72.\n6. Substitute l = 11 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 2986,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 8; z = y + 7; b = u + 9; l = 11; y = c + 11; m = b + 15; f = i + 13; u = z + 11; d = j + 17; r = s + 5; c = l + 19; i = d + 11; j = l + 18. If l = 11, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"k": "i + 12", "n": "k + 19", "e": "n + 11", "g": "e + 14", "w": "g + 5", "h": "w + 8", "o": "i + 15", "f": "o + 16", "m": "f + 17", "c": "m + 18", "u": "c + 10", "d": "u + 17", "i": 8}, "premises": {"i": 8}, "target": "h"}, "answer": {"steps": [["w", "g + 5", "g + 13"], ["g", "e + 14", "e + 27"], ["e", "n + 11", "n + 38"], ["n", "k + 19", "k + 57"], ["k", "i + 12", "i + 69"], ["i", 8, "77"]], "target_var_name": "h", "target_value": 77, "value_dict": {"i": 8}, "is_reverse": true}}
| 2,987
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = c + 10; h = w + 8; g = e + 14; w = g + 5; c = m + 18; e = n + 11; n = k + 19; f = o + 16; k = i + 12; i = 8; m = f + 17; d = u + 17; o = i + 15. Given that i = 8, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 5 to h, which gives h = g + 13.\n2. Substitute g = e + 14 to h, which gives h = e + 27.\n3. Substitute e = n + 11 to h, which gives h = n + 38.\n4. Substitute n = k + 19 to h, which gives h = k + 57.\n5. Substitute k = i + 12 to h, which gives h = i + 69.\n6. Substitute i = 8 to h, which gives h = 77.\n\nThus, the final answer is h = \\boxed{77}.",
"index": 2987,
"question": "Suppose a collection of variables is related by the following definitions: u = c + 10; h = w + 8; g = e + 14; w = g + 5; c = m + 18; e = n + 11; n = k + 19; f = o + 16; k = i + 12; i = 8; m = f + 17; d = u + 17; o = i + 15. Given that i = 8, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 12", "k": "i + 20", "l": "k + 8", "n": "l + 8", "f": "n + 12", "p": "f + 3", "u": "g + 4", "w": "u + 6", "x": "w + 2", "t": "x + 16", "r": "t + 19", "j": "r + 15", "g": 9}, "premises": {"g": 9}, "target": "p"}, "answer": {"steps": [["f", "n + 12", "n + 15"], ["n", "l + 8", "l + 23"], ["l", "k + 8", "k + 31"], ["k", "i + 20", "i + 51"], ["i", "g + 12", "g + 63"], ["g", 9, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"g": 9}, "is_reverse": true}}
| 2,988
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = g + 4; w = u + 6; r = t + 19; f = n + 12; x = w + 2; i = g + 12; l = k + 8; t = x + 16; j = r + 15; n = l + 8; p = f + 3; k = i + 20; g = 9. If g = 9, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 12 to p, which gives p = n + 15.\n2. Substitute n = l + 8 to p, which gives p = l + 23.\n3. Substitute l = k + 8 to p, which gives p = k + 31.\n4. Substitute k = i + 20 to p, which gives p = i + 51.\n5. Substitute i = g + 12 to p, which gives p = g + 63.\n6. Substitute g = 9 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 2988,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = g + 4; w = u + 6; r = t + 19; f = n + 12; x = w + 2; i = g + 12; l = k + 8; t = x + 16; j = r + 15; n = l + 8; p = f + 3; k = i + 20; g = 9. If g = 9, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"y": "q + 2", "o": "y + 12", "l": "o + 7", "u": "l + 20", "a": "u + 9", "n": "a + 8", "t": "q + 20", "z": "t + 6", "x": "z + 13", "c": "x + 8", "h": "c + 16", "b": "h + 18", "q": 6}, "premises": {"q": 6}, "target": "n"}, "answer": {"steps": [["a", "u + 9", "u + 17"], ["u", "l + 20", "l + 37"], ["l", "o + 7", "o + 44"], ["o", "y + 12", "y + 56"], ["y", "q + 2", "q + 58"], ["q", 6, "64"]], "target_var_name": "n", "target_value": 64, "value_dict": {"q": 6}, "is_reverse": true}}
| 2,989
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = a + 8; l = o + 7; x = z + 13; b = h + 18; u = l + 20; a = u + 9; q = 6; y = q + 2; o = y + 12; t = q + 20; h = c + 16; z = t + 6; c = x + 8. If q = 6, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 9 to n, which gives n = u + 17.\n2. Substitute u = l + 20 to n, which gives n = l + 37.\n3. Substitute l = o + 7 to n, which gives n = o + 44.\n4. Substitute o = y + 12 to n, which gives n = y + 56.\n5. Substitute y = q + 2 to n, which gives n = q + 58.\n6. Substitute q = 6 to n, which gives n = 64.\n\nThus, the final answer is n = \\boxed{64}.",
"index": 2989,
"question": "Consider a system of variables where each variable is defined as follows: n = a + 8; l = o + 7; x = z + 13; b = h + 18; u = l + 20; a = u + 9; q = 6; y = q + 2; o = y + 12; t = q + 20; h = c + 16; z = t + 6; c = x + 8. If q = 6, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"t": "h + 1", "s": "t + 6", "d": "s + 6", "o": "d + 7", "k": "o + 17", "z": "k + 19", "x": "h + 6", "q": "x + 9", "y": "q + 2", "e": "y + 18", "v": "e + 1", "m": "v + 14", "h": 6}, "premises": {"h": 6}, "target": "z"}, "answer": {"steps": [["k", "o + 17", "o + 36"], ["o", "d + 7", "d + 43"], ["d", "s + 6", "s + 49"], ["s", "t + 6", "t + 55"], ["t", "h + 1", "h + 56"], ["h", 6, "62"]], "target_var_name": "z", "target_value": 62, "value_dict": {"h": 6}, "is_reverse": true}}
| 2,990
| 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 = 6; k = o + 17; d = s + 6; e = y + 18; s = t + 6; z = k + 19; t = h + 1; x = h + 6; o = d + 7; y = q + 2; m = v + 14; v = e + 1; q = x + 9. If h = 6, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 17 to z, which gives z = o + 36.\n2. Substitute o = d + 7 to z, which gives z = d + 43.\n3. Substitute d = s + 6 to z, which gives z = s + 49.\n4. Substitute s = t + 6 to z, which gives z = t + 55.\n5. Substitute t = h + 1 to z, which gives z = h + 56.\n6. Substitute h = 6 to z, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 2990,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 6; k = o + 17; d = s + 6; e = y + 18; s = t + 6; z = k + 19; t = h + 1; x = h + 6; o = d + 7; y = q + 2; m = v + 14; v = e + 1; q = x + 9. If h = 6, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"l": "m + 5", "f": "l + 9", "c": "f + 5", "s": "c + 20", "k": "s + 14", "a": "k + 17", "b": "m + 17", "e": "b + 11", "w": "e + 5", "v": "w + 14", "o": "v + 14", "r": "o + 11", "m": 14}, "premises": {"m": 14}, "target": "a"}, "answer": {"steps": [["k", "s + 14", "s + 31"], ["s", "c + 20", "c + 51"], ["c", "f + 5", "f + 56"], ["f", "l + 9", "l + 65"], ["l", "m + 5", "m + 70"], ["m", 14, "84"]], "target_var_name": "a", "target_value": 84, "value_dict": {"m": 14}, "is_reverse": true}}
| 2,991
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = 14; k = s + 14; r = o + 11; l = m + 5; a = k + 17; v = w + 14; f = l + 9; c = f + 5; b = m + 17; s = c + 20; w = e + 5; o = v + 14; e = b + 11. Given that m = 14, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 14 to a, which gives a = s + 31.\n2. Substitute s = c + 20 to a, which gives a = c + 51.\n3. Substitute c = f + 5 to a, which gives a = f + 56.\n4. Substitute f = l + 9 to a, which gives a = l + 65.\n5. Substitute l = m + 5 to a, which gives a = m + 70.\n6. Substitute m = 14 to a, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 2991,
"question": "Suppose a collection of variables is related by the following definitions: m = 14; k = s + 14; r = o + 11; l = m + 5; a = k + 17; v = w + 14; f = l + 9; c = f + 5; b = m + 17; s = c + 20; w = e + 5; o = v + 14; e = b + 11. Given that m = 14, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"x": "h + 11", "j": "x + 12", "g": "j + 18", "u": "g + 18", "k": "u + 20", "n": "k + 16", "e": "h + 20", "l": "e + 11", "s": "l + 6", "b": "s + 14", "f": "b + 11", "c": "f + 2", "h": 4}, "premises": {"h": 4}, "target": "n"}, "answer": {"steps": [["k", "u + 20", "u + 36"], ["u", "g + 18", "g + 54"], ["g", "j + 18", "j + 72"], ["j", "x + 12", "x + 84"], ["x", "h + 11", "h + 95"], ["h", 4, "99"]], "target_var_name": "n", "target_value": 99, "value_dict": {"h": 4}, "is_reverse": true}}
| 2,992
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = x + 12; g = j + 18; e = h + 20; b = s + 14; k = u + 20; h = 4; x = h + 11; s = l + 6; c = f + 2; n = k + 16; u = g + 18; f = b + 11; l = e + 11. Given that h = 4, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 20 to n, which gives n = u + 36.\n2. Substitute u = g + 18 to n, which gives n = g + 54.\n3. Substitute g = j + 18 to n, which gives n = j + 72.\n4. Substitute j = x + 12 to n, which gives n = x + 84.\n5. Substitute x = h + 11 to n, which gives n = h + 95.\n6. Substitute h = 4 to n, which gives n = 99.\n\nThus, the final answer is n = \\boxed{99}.",
"index": 2992,
"question": "Suppose a collection of variables is related by the following definitions: j = x + 12; g = j + 18; e = h + 20; b = s + 14; k = u + 20; h = 4; x = h + 11; s = l + 6; c = f + 2; n = k + 16; u = g + 18; f = b + 11; l = e + 11. Given that h = 4, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"i": "q + 5", "w": "i + 5", "b": "w + 15", "z": "b + 2", "h": "z + 14", "n": "h + 9", "o": "q + 10", "t": "o + 11", "r": "t + 16", "s": "r + 10", "p": "s + 5", "a": "p + 17", "q": 20}, "premises": {"q": 20}, "target": "n"}, "answer": {"steps": [["h", "z + 14", "z + 23"], ["z", "b + 2", "b + 25"], ["b", "w + 15", "w + 40"], ["w", "i + 5", "i + 45"], ["i", "q + 5", "q + 50"], ["q", 20, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"q": 20}, "is_reverse": true}}
| 2,993
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = q + 10; h = z + 14; t = o + 11; p = s + 5; r = t + 16; b = w + 15; i = q + 5; n = h + 9; w = i + 5; z = b + 2; s = r + 10; a = p + 17; q = 20. Given that q = 20, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 14 to n, which gives n = z + 23.\n2. Substitute z = b + 2 to n, which gives n = b + 25.\n3. Substitute b = w + 15 to n, which gives n = w + 40.\n4. Substitute w = i + 5 to n, which gives n = i + 45.\n5. Substitute i = q + 5 to n, which gives n = q + 50.\n6. Substitute q = 20 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 2993,
"question": "Suppose a collection of variables is related by the following definitions: o = q + 10; h = z + 14; t = o + 11; p = s + 5; r = t + 16; b = w + 15; i = q + 5; n = h + 9; w = i + 5; z = b + 2; s = r + 10; a = p + 17; q = 20. Given that q = 20, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"z": "c + 7", "b": "z + 2", "a": "b + 14", "i": "a + 18", "u": "i + 5", "h": "u + 9", "e": "c + 10", "d": "e + 13", "f": "d + 9", "o": "f + 13", "y": "o + 11", "l": "y + 15", "c": 20}, "premises": {"c": 20}, "target": "h"}, "answer": {"steps": [["u", "i + 5", "i + 14"], ["i", "a + 18", "a + 32"], ["a", "b + 14", "b + 46"], ["b", "z + 2", "z + 48"], ["z", "c + 7", "c + 55"], ["c", 20, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"c": 20}, "is_reverse": true}}
| 2,994
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 13; b = z + 2; f = d + 9; y = o + 11; e = c + 10; z = c + 7; u = i + 5; i = a + 18; l = y + 15; c = 20; h = u + 9; a = b + 14; o = f + 13. If c = 20, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 5 to h, which gives h = i + 14.\n2. Substitute i = a + 18 to h, which gives h = a + 32.\n3. Substitute a = b + 14 to h, which gives h = b + 46.\n4. Substitute b = z + 2 to h, which gives h = z + 48.\n5. Substitute z = c + 7 to h, which gives h = c + 55.\n6. Substitute c = 20 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 2994,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 13; b = z + 2; f = d + 9; y = o + 11; e = c + 10; z = c + 7; u = i + 5; i = a + 18; l = y + 15; c = 20; h = u + 9; a = b + 14; o = f + 13. If c = 20, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"k": "w + 2", "c": "k + 1", "n": "c + 8", "p": "n + 7", "x": "p + 19", "s": "x + 17", "z": "w + 2", "j": "z + 11", "f": "j + 1", "v": "f + 5", "d": "v + 10", "u": "d + 16", "w": 18}, "premises": {"w": 18}, "target": "s"}, "answer": {"steps": [["x", "p + 19", "p + 36"], ["p", "n + 7", "n + 43"], ["n", "c + 8", "c + 51"], ["c", "k + 1", "k + 52"], ["k", "w + 2", "w + 54"], ["w", 18, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"w": 18}, "is_reverse": true}}
| 2,995
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = f + 5; z = w + 2; s = x + 17; c = k + 1; p = n + 7; n = c + 8; u = d + 16; j = z + 11; w = 18; x = p + 19; d = v + 10; f = j + 1; k = w + 2. If w = 18, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 19 to s, which gives s = p + 36.\n2. Substitute p = n + 7 to s, which gives s = n + 43.\n3. Substitute n = c + 8 to s, which gives s = c + 51.\n4. Substitute c = k + 1 to s, which gives s = k + 52.\n5. Substitute k = w + 2 to s, which gives s = w + 54.\n6. Substitute w = 18 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 2995,
"question": "Consider a system of variables where each variable is defined as follows: v = f + 5; z = w + 2; s = x + 17; c = k + 1; p = n + 7; n = c + 8; u = d + 16; j = z + 11; w = 18; x = p + 19; d = v + 10; f = j + 1; k = w + 2. If w = 18, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"h": "v + 15", "a": "h + 4", "u": "a + 6", "r": "u + 12", "j": "r + 1", "w": "j + 18", "b": "v + 19", "x": "b + 18", "p": "x + 19", "s": "p + 12", "e": "s + 14", "q": "e + 8", "v": 9}, "premises": {"v": 9}, "target": "w"}, "answer": {"steps": [["j", "r + 1", "r + 19"], ["r", "u + 12", "u + 31"], ["u", "a + 6", "a + 37"], ["a", "h + 4", "h + 41"], ["h", "v + 15", "v + 56"], ["v", 9, "65"]], "target_var_name": "w", "target_value": 65, "value_dict": {"v": 9}, "is_reverse": true}}
| 2,996
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = x + 19; u = a + 6; w = j + 18; x = b + 18; q = e + 8; v = 9; h = v + 15; a = h + 4; j = r + 1; e = s + 14; s = p + 12; r = u + 12; b = v + 19. Given that v = 9, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 1 to w, which gives w = r + 19.\n2. Substitute r = u + 12 to w, which gives w = u + 31.\n3. Substitute u = a + 6 to w, which gives w = a + 37.\n4. Substitute a = h + 4 to w, which gives w = h + 41.\n5. Substitute h = v + 15 to w, which gives w = v + 56.\n6. Substitute v = 9 to w, which gives w = 65.\n\nThus, the final answer is w = \\boxed{65}.",
"index": 2996,
"question": "Suppose a collection of variables is related by the following definitions: p = x + 19; u = a + 6; w = j + 18; x = b + 18; q = e + 8; v = 9; h = v + 15; a = h + 4; j = r + 1; e = s + 14; s = p + 12; r = u + 12; b = v + 19. Given that v = 9, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 5", "p": "f + 18", "z": "p + 3", "n": "z + 3", "a": "n + 6", "x": "a + 14", "e": "l + 13", "b": "e + 16", "h": "b + 13", "v": "h + 3", "k": "v + 20", "y": "k + 3", "l": 10}, "premises": {"l": 10}, "target": "x"}, "answer": {"steps": [["a", "n + 6", "n + 20"], ["n", "z + 3", "z + 23"], ["z", "p + 3", "p + 26"], ["p", "f + 18", "f + 44"], ["f", "l + 5", "l + 49"], ["l", 10, "59"]], "target_var_name": "x", "target_value": 59, "value_dict": {"l": 10}, "is_reverse": true}}
| 2,997
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = v + 20; h = b + 13; p = f + 18; n = z + 3; f = l + 5; y = k + 3; e = l + 13; l = 10; a = n + 6; z = p + 3; x = a + 14; v = h + 3; b = e + 16. If l = 10, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 6 to x, which gives x = n + 20.\n2. Substitute n = z + 3 to x, which gives x = z + 23.\n3. Substitute z = p + 3 to x, which gives x = p + 26.\n4. Substitute p = f + 18 to x, which gives x = f + 44.\n5. Substitute f = l + 5 to x, which gives x = l + 49.\n6. Substitute l = 10 to x, which gives x = 59.\n\nThus, the final answer is x = \\boxed{59}.",
"index": 2997,
"question": "Consider a system of variables where each variable is defined as follows: k = v + 20; h = b + 13; p = f + 18; n = z + 3; f = l + 5; y = k + 3; e = l + 13; l = 10; a = n + 6; z = p + 3; x = a + 14; v = h + 3; b = e + 16. If l = 10, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"z": "i + 11", "r": "z + 1", "e": "r + 3", "b": "e + 8", "j": "b + 20", "q": "j + 9", "s": "i + 5", "w": "s + 13", "h": "w + 2", "g": "h + 14", "n": "g + 2", "f": "n + 13", "i": 1}, "premises": {"i": 1}, "target": "q"}, "answer": {"steps": [["j", "b + 20", "b + 29"], ["b", "e + 8", "e + 37"], ["e", "r + 3", "r + 40"], ["r", "z + 1", "z + 41"], ["z", "i + 11", "i + 52"], ["i", 1, "53"]], "target_var_name": "q", "target_value": 53, "value_dict": {"i": 1}, "is_reverse": true}}
| 2,998
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = h + 14; n = g + 2; f = n + 13; z = i + 11; e = r + 3; s = i + 5; b = e + 8; q = j + 9; h = w + 2; i = 1; w = s + 13; r = z + 1; j = b + 20. If i = 1, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 20 to q, which gives q = b + 29.\n2. Substitute b = e + 8 to q, which gives q = e + 37.\n3. Substitute e = r + 3 to q, which gives q = r + 40.\n4. Substitute r = z + 1 to q, which gives q = z + 41.\n5. Substitute z = i + 11 to q, which gives q = i + 52.\n6. Substitute i = 1 to q, which gives q = 53.\n\nThus, the final answer is q = \\boxed{53}.",
"index": 2998,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = h + 14; n = g + 2; f = n + 13; z = i + 11; e = r + 3; s = i + 5; b = e + 8; q = j + 9; h = w + 2; i = 1; w = s + 13; r = z + 1; j = b + 20. If i = 1, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"y": "j + 18", "h": "y + 4", "x": "h + 4", "i": "x + 11", "f": "i + 2", "g": "f + 14", "n": "j + 2", "r": "n + 14", "z": "r + 5", "t": "z + 12", "s": "t + 12", "p": "s + 15", "j": 3}, "premises": {"j": 3}, "target": "g"}, "answer": {"steps": [["f", "i + 2", "i + 16"], ["i", "x + 11", "x + 27"], ["x", "h + 4", "h + 31"], ["h", "y + 4", "y + 35"], ["y", "j + 18", "j + 53"], ["j", 3, "56"]], "target_var_name": "g", "target_value": 56, "value_dict": {"j": 3}, "is_reverse": true}}
| 2,999
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = 3; z = r + 5; x = h + 4; h = y + 4; g = f + 14; r = n + 14; t = z + 12; f = i + 2; y = j + 18; p = s + 15; i = x + 11; n = j + 2; s = t + 12. Given that j = 3, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 2 to g, which gives g = i + 16.\n2. Substitute i = x + 11 to g, which gives g = x + 27.\n3. Substitute x = h + 4 to g, which gives g = h + 31.\n4. Substitute h = y + 4 to g, which gives g = y + 35.\n5. Substitute y = j + 18 to g, which gives g = j + 53.\n6. Substitute j = 3 to g, which gives g = 56.\n\nThus, the final answer is g = \\boxed{56}.",
"index": 2999,
"question": "Suppose a collection of variables is related by the following definitions: j = 3; z = r + 5; x = h + 4; h = y + 4; g = f + 14; r = n + 14; t = z + 12; f = i + 2; y = j + 18; p = s + 15; i = x + 11; n = j + 2; s = t + 12. Given that j = 3, find the value of g.",
"split": "train"
}
|
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