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25.6k
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stringclasses 1
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listlengths 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"d": "a + 8", "t": "d + 18", "y": "t + 20", "i": "y + 4", "c": "i + 14", "l": "c + 20", "z": "a + 2", "j": "z + 2", "f": "j + 9", "x": "f + 9", "v": "x + 20", "q": "v + 19", "a": 6}, "premises": {"a": 6}, "target": "l"}, "answer": {"steps": [["c", "i + 14", "i + 34"], ["i", "y + 4", "y + 38"], ["y", "t + 20", "t + 58"], ["t", "d + 18", "d + 76"], ["d", "a + 8", "a + 84"], ["a", 6, "90"]], "target_var_name": "l", "target_value": 90, "value_dict": {"a": 6}, "is_reverse": true}}
| 100
| 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 + 9; i = y + 4; t = d + 18; v = x + 20; y = t + 20; a = 6; c = i + 14; j = z + 2; d = a + 8; z = a + 2; x = f + 9; q = v + 19; l = c + 20. If a = 6, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 14 to l, which gives l = i + 34.\n2. Substitute i = y + 4 to l, which gives l = y + 38.\n3. Substitute y = t + 20 to l, which gives l = t + 58.\n4. Substitute t = d + 18 to l, which gives l = d + 76.\n5. Substitute d = a + 8 to l, which gives l = a + 84.\n6. Substitute a = 6 to l, which gives l = 90.\n\nThus, the final answer is l = \\boxed{90}.",
"index": 100,
"question": "Consider a system of variables where each variable is defined as follows: f = j + 9; i = y + 4; t = d + 18; v = x + 20; y = t + 20; a = 6; c = i + 14; j = z + 2; d = a + 8; z = a + 2; x = f + 9; q = v + 19; l = c + 20. If a = 6, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "y + 12", "c": "w + 5", "f": "c + 15", "z": "f + 20", "d": "z + 20", "l": "d + 6", "q": "y + 10", "v": "q + 17", "x": "v + 5", "o": "x + 14", "u": "o + 4", "r": "u + 18", "y": 12}, "premises": {"y": 12}, "target": "l"}, "answer": {"steps": [["d", "z + 20", "z + 26"], ["z", "f + 20", "f + 46"], ["f", "c + 15", "c + 61"], ["c", "w + 5", "w + 66"], ["w", "y + 12", "y + 78"], ["y", 12, "90"]], "target_var_name": "l", "target_value": 90, "value_dict": {"y": 12}, "is_reverse": true}}
| 101
| 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 + 6; o = x + 14; u = o + 4; y = 12; r = u + 18; c = w + 5; x = v + 5; z = f + 20; d = z + 20; q = y + 10; w = y + 12; f = c + 15; v = q + 17. If y = 12, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 20 to l, which gives l = z + 26.\n2. Substitute z = f + 20 to l, which gives l = f + 46.\n3. Substitute f = c + 15 to l, which gives l = c + 61.\n4. Substitute c = w + 5 to l, which gives l = w + 66.\n5. Substitute w = y + 12 to l, which gives l = y + 78.\n6. Substitute y = 12 to l, which gives l = 90.\n\nThus, the final answer is l = \\boxed{90}.",
"index": 101,
"question": "Consider a system of variables where each variable is defined as follows: l = d + 6; o = x + 14; u = o + 4; y = 12; r = u + 18; c = w + 5; x = v + 5; z = f + 20; d = z + 20; q = y + 10; w = y + 12; f = c + 15; v = q + 17. If y = 12, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"t": "w + 13", "c": "t + 5", "z": "c + 9", "v": "z + 12", "o": "v + 6", "k": "o + 19", "u": "w + 18", "d": "u + 18", "a": "d + 9", "l": "a + 11", "b": "l + 9", "r": "b + 3", "w": 7}, "premises": {"w": 7}, "target": "k"}, "answer": {"steps": [["o", "v + 6", "v + 25"], ["v", "z + 12", "z + 37"], ["z", "c + 9", "c + 46"], ["c", "t + 5", "t + 51"], ["t", "w + 13", "w + 64"], ["w", 7, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"w": 7}, "is_reverse": true}}
| 102
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = 7; r = b + 3; o = v + 6; z = c + 9; d = u + 18; l = a + 11; k = o + 19; a = d + 9; t = w + 13; v = z + 12; u = w + 18; c = t + 5; b = l + 9. Given that w = 7, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 6 to k, which gives k = v + 25.\n2. Substitute v = z + 12 to k, which gives k = z + 37.\n3. Substitute z = c + 9 to k, which gives k = c + 46.\n4. Substitute c = t + 5 to k, which gives k = t + 51.\n5. Substitute t = w + 13 to k, which gives k = w + 64.\n6. Substitute w = 7 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 102,
"question": "Suppose a collection of variables is related by the following definitions: w = 7; r = b + 3; o = v + 6; z = c + 9; d = u + 18; l = a + 11; k = o + 19; a = d + 9; t = w + 13; v = z + 12; u = w + 18; c = t + 5; b = l + 9. Given that w = 7, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"y": "k + 12", "f": "y + 1", "q": "f + 12", "b": "q + 13", "t": "b + 19", "c": "t + 17", "g": "k + 8", "j": "g + 12", "v": "j + 17", "r": "v + 6", "z": "r + 13", "w": "z + 16", "k": 20}, "premises": {"k": 20}, "target": "c"}, "answer": {"steps": [["t", "b + 19", "b + 36"], ["b", "q + 13", "q + 49"], ["q", "f + 12", "f + 61"], ["f", "y + 1", "y + 62"], ["y", "k + 12", "k + 74"], ["k", 20, "94"]], "target_var_name": "c", "target_value": 94, "value_dict": {"k": 20}, "is_reverse": true}}
| 103
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = z + 16; b = q + 13; q = f + 12; g = k + 8; c = t + 17; f = y + 1; r = v + 6; j = g + 12; k = 20; z = r + 13; y = k + 12; t = b + 19; v = j + 17. If k = 20, 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 t = b + 19 to c, which gives c = b + 36.\n2. Substitute b = q + 13 to c, which gives c = q + 49.\n3. Substitute q = f + 12 to c, which gives c = f + 61.\n4. Substitute f = y + 1 to c, which gives c = y + 62.\n5. Substitute y = k + 12 to c, which gives c = k + 74.\n6. Substitute k = 20 to c, which gives c = 94.\n\nThus, the final answer is c = \\boxed{94}.",
"index": 103,
"question": "Consider a system of variables where each variable is defined as follows: w = z + 16; b = q + 13; q = f + 12; g = k + 8; c = t + 17; f = y + 1; r = v + 6; j = g + 12; k = 20; z = r + 13; y = k + 12; t = b + 19; v = j + 17. If k = 20, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"x": "m + 6", "f": "x + 14", "j": "f + 4", "v": "j + 7", "i": "v + 1", "p": "i + 17", "u": "m + 11", "g": "u + 15", "c": "g + 16", "e": "c + 12", "d": "e + 16", "q": "d + 13", "m": 7}, "premises": {"m": 7}, "target": "p"}, "answer": {"steps": [["i", "v + 1", "v + 18"], ["v", "j + 7", "j + 25"], ["j", "f + 4", "f + 29"], ["f", "x + 14", "x + 43"], ["x", "m + 6", "m + 49"], ["m", 7, "56"]], "target_var_name": "p", "target_value": 56, "value_dict": {"m": 7}, "is_reverse": true}}
| 104
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = d + 13; g = u + 15; v = j + 7; e = c + 12; j = f + 4; i = v + 1; m = 7; f = x + 14; d = e + 16; u = m + 11; p = i + 17; c = g + 16; x = m + 6. Given that m = 7, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 1 to p, which gives p = v + 18.\n2. Substitute v = j + 7 to p, which gives p = j + 25.\n3. Substitute j = f + 4 to p, which gives p = f + 29.\n4. Substitute f = x + 14 to p, which gives p = x + 43.\n5. Substitute x = m + 6 to p, which gives p = m + 49.\n6. Substitute m = 7 to p, which gives p = 56.\n\nThus, the final answer is p = \\boxed{56}.",
"index": 104,
"question": "Suppose a collection of variables is related by the following definitions: q = d + 13; g = u + 15; v = j + 7; e = c + 12; j = f + 4; i = v + 1; m = 7; f = x + 14; d = e + 16; u = m + 11; p = i + 17; c = g + 16; x = m + 6. Given that m = 7, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"o": "s + 14", "a": "o + 13", "d": "a + 10", "f": "d + 18", "l": "f + 6", "e": "l + 17", "i": "s + 12", "z": "i + 10", "x": "z + 2", "g": "x + 6", "m": "g + 12", "b": "m + 12", "s": 16}, "premises": {"s": 16}, "target": "e"}, "answer": {"steps": [["l", "f + 6", "f + 23"], ["f", "d + 18", "d + 41"], ["d", "a + 10", "a + 51"], ["a", "o + 13", "o + 64"], ["o", "s + 14", "s + 78"], ["s", 16, "94"]], "target_var_name": "e", "target_value": 94, "value_dict": {"s": 16}, "is_reverse": true}}
| 105
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = 16; f = d + 18; a = o + 13; l = f + 6; m = g + 12; z = i + 10; d = a + 10; i = s + 12; o = s + 14; e = l + 17; b = m + 12; g = x + 6; x = z + 2. If s = 16, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 6 to e, which gives e = f + 23.\n2. Substitute f = d + 18 to e, which gives e = d + 41.\n3. Substitute d = a + 10 to e, which gives e = a + 51.\n4. Substitute a = o + 13 to e, which gives e = o + 64.\n5. Substitute o = s + 14 to e, which gives e = s + 78.\n6. Substitute s = 16 to e, which gives e = 94.\n\nThus, the final answer is e = \\boxed{94}.",
"index": 105,
"question": "Consider a system of variables where each variable is defined as follows: s = 16; f = d + 18; a = o + 13; l = f + 6; m = g + 12; z = i + 10; d = a + 10; i = s + 12; o = s + 14; e = l + 17; b = m + 12; g = x + 6; x = z + 2. If s = 16, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"w": "e + 5", "d": "w + 12", "i": "d + 16", "c": "i + 15", "s": "c + 18", "j": "s + 6", "o": "e + 10", "n": "o + 3", "v": "n + 16", "u": "v + 3", "b": "u + 1", "t": "b + 5", "e": 5}, "premises": {"e": 5}, "target": "j"}, "answer": {"steps": [["s", "c + 18", "c + 24"], ["c", "i + 15", "i + 39"], ["i", "d + 16", "d + 55"], ["d", "w + 12", "w + 67"], ["w", "e + 5", "e + 72"], ["e", 5, "77"]], "target_var_name": "j", "target_value": 77, "value_dict": {"e": 5}, "is_reverse": true}}
| 106
| 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 = s + 6; v = n + 16; e = 5; s = c + 18; o = e + 10; u = v + 3; c = i + 15; i = d + 16; t = b + 5; n = o + 3; b = u + 1; w = e + 5; d = w + 12. If e = 5, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 18 to j, which gives j = c + 24.\n2. Substitute c = i + 15 to j, which gives j = i + 39.\n3. Substitute i = d + 16 to j, which gives j = d + 55.\n4. Substitute d = w + 12 to j, which gives j = w + 67.\n5. Substitute w = e + 5 to j, which gives j = e + 72.\n6. Substitute e = 5 to j, which gives j = 77.\n\nThus, the final answer is j = \\boxed{77}.",
"index": 106,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 6; v = n + 16; e = 5; s = c + 18; o = e + 10; u = v + 3; c = i + 15; i = d + 16; t = b + 5; n = o + 3; b = u + 1; w = e + 5; d = w + 12. If e = 5, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"x": "g + 17", "n": "x + 19", "s": "n + 14", "v": "s + 6", "j": "v + 3", "r": "j + 10", "f": "g + 17", "m": "f + 15", "a": "m + 4", "c": "a + 6", "e": "c + 9", "t": "e + 16", "g": 16}, "premises": {"g": 16}, "target": "r"}, "answer": {"steps": [["j", "v + 3", "v + 13"], ["v", "s + 6", "s + 19"], ["s", "n + 14", "n + 33"], ["n", "x + 19", "x + 52"], ["x", "g + 17", "g + 69"], ["g", 16, "85"]], "target_var_name": "r", "target_value": 85, "value_dict": {"g": 16}, "is_reverse": true}}
| 107
| 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 = n + 14; r = j + 10; g = 16; e = c + 9; x = g + 17; v = s + 6; j = v + 3; n = x + 19; t = e + 16; f = g + 17; c = a + 6; m = f + 15; a = m + 4. If g = 16, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 3 to r, which gives r = v + 13.\n2. Substitute v = s + 6 to r, which gives r = s + 19.\n3. Substitute s = n + 14 to r, which gives r = n + 33.\n4. Substitute n = x + 19 to r, which gives r = x + 52.\n5. Substitute x = g + 17 to r, which gives r = g + 69.\n6. Substitute g = 16 to r, which gives r = 85.\n\nThus, the final answer is r = \\boxed{85}.",
"index": 107,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = n + 14; r = j + 10; g = 16; e = c + 9; x = g + 17; v = s + 6; j = v + 3; n = x + 19; t = e + 16; f = g + 17; c = a + 6; m = f + 15; a = m + 4. If g = 16, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"z": "g + 15", "p": "z + 5", "t": "p + 14", "x": "t + 6", "m": "x + 20", "d": "m + 11", "q": "g + 4", "y": "q + 14", "a": "y + 20", "u": "a + 13", "b": "u + 8", "w": "b + 3", "g": 6}, "premises": {"g": 6}, "target": "d"}, "answer": {"steps": [["m", "x + 20", "x + 31"], ["x", "t + 6", "t + 37"], ["t", "p + 14", "p + 51"], ["p", "z + 5", "z + 56"], ["z", "g + 15", "g + 71"], ["g", 6, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"g": 6}, "is_reverse": true}}
| 108
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = g + 15; u = a + 13; b = u + 8; m = x + 20; t = p + 14; y = q + 14; a = y + 20; d = m + 11; x = t + 6; w = b + 3; q = g + 4; p = z + 5; g = 6. Given that g = 6, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 20 to d, which gives d = x + 31.\n2. Substitute x = t + 6 to d, which gives d = t + 37.\n3. Substitute t = p + 14 to d, which gives d = p + 51.\n4. Substitute p = z + 5 to d, which gives d = z + 56.\n5. Substitute z = g + 15 to d, which gives d = g + 71.\n6. Substitute g = 6 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 108,
"question": "Suppose a collection of variables is related by the following definitions: z = g + 15; u = a + 13; b = u + 8; m = x + 20; t = p + 14; y = q + 14; a = y + 20; d = m + 11; x = t + 6; w = b + 3; q = g + 4; p = z + 5; g = 6. Given that g = 6, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"d": "s + 6", "v": "d + 4", "y": "v + 4", "b": "y + 9", "z": "b + 14", "r": "z + 11", "m": "s + 7", "i": "m + 3", "x": "i + 4", "o": "x + 18", "a": "o + 9", "g": "a + 9", "s": 5}, "premises": {"s": 5}, "target": "r"}, "answer": {"steps": [["z", "b + 14", "b + 25"], ["b", "y + 9", "y + 34"], ["y", "v + 4", "v + 38"], ["v", "d + 4", "d + 42"], ["d", "s + 6", "s + 48"], ["s", 5, "53"]], "target_var_name": "r", "target_value": 53, "value_dict": {"s": 5}, "is_reverse": true}}
| 109
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 11; v = d + 4; o = x + 18; s = 5; y = v + 4; x = i + 4; z = b + 14; a = o + 9; m = s + 7; i = m + 3; b = y + 9; d = s + 6; g = a + 9. If s = 5, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 14 to r, which gives r = b + 25.\n2. Substitute b = y + 9 to r, which gives r = y + 34.\n3. Substitute y = v + 4 to r, which gives r = v + 38.\n4. Substitute v = d + 4 to r, which gives r = d + 42.\n5. Substitute d = s + 6 to r, which gives r = s + 48.\n6. Substitute s = 5 to r, which gives r = 53.\n\nThus, the final answer is r = \\boxed{53}.",
"index": 109,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 11; v = d + 4; o = x + 18; s = 5; y = v + 4; x = i + 4; z = b + 14; a = o + 9; m = s + 7; i = m + 3; b = y + 9; d = s + 6; g = a + 9. If s = 5, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"m": "w + 3", "f": "m + 15", "i": "f + 5", "z": "i + 16", "u": "z + 6", "k": "u + 14", "v": "w + 20", "e": "v + 7", "r": "e + 14", "t": "r + 20", "q": "t + 4", "a": "q + 3", "w": 13}, "premises": {"w": 13}, "target": "k"}, "answer": {"steps": [["u", "z + 6", "z + 20"], ["z", "i + 16", "i + 36"], ["i", "f + 5", "f + 41"], ["f", "m + 15", "m + 56"], ["m", "w + 3", "w + 59"], ["w", 13, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"w": 13}, "is_reverse": true}}
| 110
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 7; i = f + 5; q = t + 4; z = i + 16; u = z + 6; m = w + 3; r = e + 14; a = q + 3; t = r + 20; v = w + 20; w = 13; k = u + 14; f = m + 15. If w = 13, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 6 to k, which gives k = z + 20.\n2. Substitute z = i + 16 to k, which gives k = i + 36.\n3. Substitute i = f + 5 to k, which gives k = f + 41.\n4. Substitute f = m + 15 to k, which gives k = m + 56.\n5. Substitute m = w + 3 to k, which gives k = w + 59.\n6. Substitute w = 13 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 110,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 7; i = f + 5; q = t + 4; z = i + 16; u = z + 6; m = w + 3; r = e + 14; a = q + 3; t = r + 20; v = w + 20; w = 13; k = u + 14; f = m + 15. If w = 13, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 13", "h": "e + 20", "w": "h + 15", "k": "w + 16", "c": "k + 1", "g": "c + 7", "a": "n + 6", "l": "a + 11", "j": "l + 17", "f": "j + 6", "t": "f + 9", "p": "t + 11", "n": 11}, "premises": {"n": 11}, "target": "g"}, "answer": {"steps": [["c", "k + 1", "k + 8"], ["k", "w + 16", "w + 24"], ["w", "h + 15", "h + 39"], ["h", "e + 20", "e + 59"], ["e", "n + 13", "n + 72"], ["n", 11, "83"]], "target_var_name": "g", "target_value": 83, "value_dict": {"n": 11}, "is_reverse": true}}
| 111
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = h + 15; g = c + 7; k = w + 16; c = k + 1; a = n + 6; f = j + 6; t = f + 9; j = l + 17; h = e + 20; n = 11; e = n + 13; p = t + 11; l = a + 11. Given that n = 11, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 1 to g, which gives g = k + 8.\n2. Substitute k = w + 16 to g, which gives g = w + 24.\n3. Substitute w = h + 15 to g, which gives g = h + 39.\n4. Substitute h = e + 20 to g, which gives g = e + 59.\n5. Substitute e = n + 13 to g, which gives g = n + 72.\n6. Substitute n = 11 to g, which gives g = 83.\n\nThus, the final answer is g = \\boxed{83}.",
"index": 111,
"question": "Suppose a collection of variables is related by the following definitions: w = h + 15; g = c + 7; k = w + 16; c = k + 1; a = n + 6; f = j + 6; t = f + 9; j = l + 17; h = e + 20; n = 11; e = n + 13; p = t + 11; l = a + 11. Given that n = 11, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"l": "d + 18", "y": "l + 3", "h": "y + 12", "e": "h + 15", "c": "e + 9", "t": "c + 19", "j": "d + 1", "p": "j + 7", "r": "p + 5", "n": "r + 17", "f": "n + 3", "z": "f + 15", "d": 3}, "premises": {"d": 3}, "target": "t"}, "answer": {"steps": [["c", "e + 9", "e + 28"], ["e", "h + 15", "h + 43"], ["h", "y + 12", "y + 55"], ["y", "l + 3", "l + 58"], ["l", "d + 18", "d + 76"], ["d", 3, "79"]], "target_var_name": "t", "target_value": 79, "value_dict": {"d": 3}, "is_reverse": true}}
| 112
| 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 = c + 19; z = f + 15; f = n + 3; c = e + 9; p = j + 7; l = d + 18; h = y + 12; n = r + 17; j = d + 1; y = l + 3; r = p + 5; d = 3; e = h + 15. If d = 3, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 9 to t, which gives t = e + 28.\n2. Substitute e = h + 15 to t, which gives t = h + 43.\n3. Substitute h = y + 12 to t, which gives t = y + 55.\n4. Substitute y = l + 3 to t, which gives t = l + 58.\n5. Substitute l = d + 18 to t, which gives t = d + 76.\n6. Substitute d = 3 to t, which gives t = 79.\n\nThus, the final answer is t = \\boxed{79}.",
"index": 112,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 19; z = f + 15; f = n + 3; c = e + 9; p = j + 7; l = d + 18; h = y + 12; n = r + 17; j = d + 1; y = l + 3; r = p + 5; d = 3; e = h + 15. If d = 3, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"o": "n + 4", "m": "o + 3", "t": "m + 9", "c": "t + 4", "v": "c + 8", "y": "v + 5", "g": "n + 8", "e": "g + 4", "x": "e + 19", "i": "x + 4", "a": "i + 13", "p": "a + 7", "n": 16}, "premises": {"n": 16}, "target": "y"}, "answer": {"steps": [["v", "c + 8", "c + 13"], ["c", "t + 4", "t + 17"], ["t", "m + 9", "m + 26"], ["m", "o + 3", "o + 29"], ["o", "n + 4", "n + 33"], ["n", 16, "49"]], "target_var_name": "y", "target_value": 49, "value_dict": {"n": 16}, "is_reverse": true}}
| 113
| 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 = x + 4; y = v + 5; t = m + 9; m = o + 3; g = n + 8; a = i + 13; c = t + 4; o = n + 4; x = e + 19; n = 16; p = a + 7; e = g + 4; v = c + 8. If n = 16, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 8 to y, which gives y = c + 13.\n2. Substitute c = t + 4 to y, which gives y = t + 17.\n3. Substitute t = m + 9 to y, which gives y = m + 26.\n4. Substitute m = o + 3 to y, which gives y = o + 29.\n5. Substitute o = n + 4 to y, which gives y = n + 33.\n6. Substitute n = 16 to y, which gives y = 49.\n\nThus, the final answer is y = \\boxed{49}.",
"index": 113,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 4; y = v + 5; t = m + 9; m = o + 3; g = n + 8; a = i + 13; c = t + 4; o = n + 4; x = e + 19; n = 16; p = a + 7; e = g + 4; v = c + 8. If n = 16, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"s": "h + 16", "g": "s + 13", "l": "g + 7", "a": "l + 6", "j": "a + 4", "y": "j + 16", "r": "h + 19", "e": "r + 2", "v": "e + 20", "t": "v + 2", "i": "t + 15", "c": "i + 2", "h": 2}, "premises": {"h": 2}, "target": "y"}, "answer": {"steps": [["j", "a + 4", "a + 20"], ["a", "l + 6", "l + 26"], ["l", "g + 7", "g + 33"], ["g", "s + 13", "s + 46"], ["s", "h + 16", "h + 62"], ["h", 2, "64"]], "target_var_name": "y", "target_value": 64, "value_dict": {"h": 2}, "is_reverse": true}}
| 114
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = r + 2; i = t + 15; h = 2; r = h + 19; t = v + 2; l = g + 7; g = s + 13; a = l + 6; c = i + 2; v = e + 20; j = a + 4; s = h + 16; y = j + 16. Given that h = 2, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 4 to y, which gives y = a + 20.\n2. Substitute a = l + 6 to y, which gives y = l + 26.\n3. Substitute l = g + 7 to y, which gives y = g + 33.\n4. Substitute g = s + 13 to y, which gives y = s + 46.\n5. Substitute s = h + 16 to y, which gives y = h + 62.\n6. Substitute h = 2 to y, which gives y = 64.\n\nThus, the final answer is y = \\boxed{64}.",
"index": 114,
"question": "Suppose a collection of variables is related by the following definitions: e = r + 2; i = t + 15; h = 2; r = h + 19; t = v + 2; l = g + 7; g = s + 13; a = l + 6; c = i + 2; v = e + 20; j = a + 4; s = h + 16; y = j + 16. Given that h = 2, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"y": "d + 16", "m": "y + 18", "w": "m + 5", "b": "w + 8", "h": "b + 6", "j": "h + 9", "l": "d + 10", "x": "l + 5", "c": "x + 1", "k": "c + 15", "q": "k + 18", "v": "q + 17", "d": 4}, "premises": {"d": 4}, "target": "j"}, "answer": {"steps": [["h", "b + 6", "b + 15"], ["b", "w + 8", "w + 23"], ["w", "m + 5", "m + 28"], ["m", "y + 18", "y + 46"], ["y", "d + 16", "d + 62"], ["d", 4, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"d": 4}, "is_reverse": true}}
| 115
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = x + 1; k = c + 15; y = d + 16; q = k + 18; m = y + 18; v = q + 17; b = w + 8; d = 4; w = m + 5; l = d + 10; h = b + 6; j = h + 9; x = l + 5. Given that d = 4, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 6 to j, which gives j = b + 15.\n2. Substitute b = w + 8 to j, which gives j = w + 23.\n3. Substitute w = m + 5 to j, which gives j = m + 28.\n4. Substitute m = y + 18 to j, which gives j = y + 46.\n5. Substitute y = d + 16 to j, which gives j = d + 62.\n6. Substitute d = 4 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 115,
"question": "Suppose a collection of variables is related by the following definitions: c = x + 1; k = c + 15; y = d + 16; q = k + 18; m = y + 18; v = q + 17; b = w + 8; d = 4; w = m + 5; l = d + 10; h = b + 6; j = h + 9; x = l + 5. Given that d = 4, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"r": "b + 12", "y": "r + 1", "x": "y + 18", "h": "x + 5", "g": "h + 17", "n": "g + 2", "p": "b + 10", "q": "p + 3", "e": "q + 11", "v": "e + 15", "t": "v + 19", "d": "t + 5", "b": 19}, "premises": {"b": 19}, "target": "n"}, "answer": {"steps": [["g", "h + 17", "h + 19"], ["h", "x + 5", "x + 24"], ["x", "y + 18", "y + 42"], ["y", "r + 1", "r + 43"], ["r", "b + 12", "b + 55"], ["b", 19, "74"]], "target_var_name": "n", "target_value": 74, "value_dict": {"b": 19}, "is_reverse": true}}
| 116
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = e + 15; b = 19; x = y + 18; y = r + 1; q = p + 3; d = t + 5; r = b + 12; g = h + 17; p = b + 10; e = q + 11; h = x + 5; t = v + 19; n = g + 2. Given that b = 19, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 17 to n, which gives n = h + 19.\n2. Substitute h = x + 5 to n, which gives n = x + 24.\n3. Substitute x = y + 18 to n, which gives n = y + 42.\n4. Substitute y = r + 1 to n, which gives n = r + 43.\n5. Substitute r = b + 12 to n, which gives n = b + 55.\n6. Substitute b = 19 to n, which gives n = 74.\n\nThus, the final answer is n = \\boxed{74}.",
"index": 116,
"question": "Suppose a collection of variables is related by the following definitions: v = e + 15; b = 19; x = y + 18; y = r + 1; q = p + 3; d = t + 5; r = b + 12; g = h + 17; p = b + 10; e = q + 11; h = x + 5; t = v + 19; n = g + 2. Given that b = 19, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"l": "x + 18", "g": "l + 2", "z": "g + 6", "k": "z + 7", "r": "k + 15", "h": "r + 10", "m": "x + 3", "a": "m + 20", "t": "a + 15", "d": "t + 19", "i": "d + 9", "q": "i + 13", "x": 17}, "premises": {"x": 17}, "target": "h"}, "answer": {"steps": [["r", "k + 15", "k + 25"], ["k", "z + 7", "z + 32"], ["z", "g + 6", "g + 38"], ["g", "l + 2", "l + 40"], ["l", "x + 18", "x + 58"], ["x", 17, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"x": 17}, "is_reverse": true}}
| 117
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 13; g = l + 2; k = z + 7; x = 17; h = r + 10; z = g + 6; m = x + 3; a = m + 20; t = a + 15; l = x + 18; d = t + 19; i = d + 9; r = k + 15. If x = 17, 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 r = k + 15 to h, which gives h = k + 25.\n2. Substitute k = z + 7 to h, which gives h = z + 32.\n3. Substitute z = g + 6 to h, which gives h = g + 38.\n4. Substitute g = l + 2 to h, which gives h = l + 40.\n5. Substitute l = x + 18 to h, which gives h = x + 58.\n6. Substitute x = 17 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 117,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 13; g = l + 2; k = z + 7; x = 17; h = r + 10; z = g + 6; m = x + 3; a = m + 20; t = a + 15; l = x + 18; d = t + 19; i = d + 9; r = k + 15. If x = 17, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"s": "n + 20", "p": "s + 3", "c": "p + 19", "h": "c + 6", "q": "h + 20", "w": "q + 15", "x": "n + 5", "b": "x + 6", "o": "b + 9", "t": "o + 5", "v": "t + 18", "g": "v + 10", "n": 17}, "premises": {"n": 17}, "target": "w"}, "answer": {"steps": [["q", "h + 20", "h + 35"], ["h", "c + 6", "c + 41"], ["c", "p + 19", "p + 60"], ["p", "s + 3", "s + 63"], ["s", "n + 20", "n + 83"], ["n", 17, "100"]], "target_var_name": "w", "target_value": 100, "value_dict": {"n": 17}, "is_reverse": true}}
| 118
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = p + 19; q = h + 20; x = n + 5; p = s + 3; v = t + 18; t = o + 5; g = v + 10; n = 17; o = b + 9; b = x + 6; h = c + 6; w = q + 15; s = n + 20. If n = 17, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 20 to w, which gives w = h + 35.\n2. Substitute h = c + 6 to w, which gives w = c + 41.\n3. Substitute c = p + 19 to w, which gives w = p + 60.\n4. Substitute p = s + 3 to w, which gives w = s + 63.\n5. Substitute s = n + 20 to w, which gives w = n + 83.\n6. Substitute n = 17 to w, which gives w = 100.\n\nThus, the final answer is w = \\boxed{100}.",
"index": 118,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = p + 19; q = h + 20; x = n + 5; p = s + 3; v = t + 18; t = o + 5; g = v + 10; n = 17; o = b + 9; b = x + 6; h = c + 6; w = q + 15; s = n + 20. If n = 17, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"b": "h + 11", "o": "b + 2", "p": "o + 2", "y": "p + 10", "t": "y + 16", "j": "t + 17", "l": "h + 18", "k": "l + 12", "c": "k + 20", "m": "c + 9", "w": "m + 2", "u": "w + 8", "h": 9}, "premises": {"h": 9}, "target": "j"}, "answer": {"steps": [["t", "y + 16", "y + 33"], ["y", "p + 10", "p + 43"], ["p", "o + 2", "o + 45"], ["o", "b + 2", "b + 47"], ["b", "h + 11", "h + 58"], ["h", 9, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"h": 9}, "is_reverse": true}}
| 119
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 12; w = m + 2; p = o + 2; j = t + 17; c = k + 20; l = h + 18; y = p + 10; t = y + 16; u = w + 8; m = c + 9; o = b + 2; h = 9; b = h + 11. If h = 9, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 16 to j, which gives j = y + 33.\n2. Substitute y = p + 10 to j, which gives j = p + 43.\n3. Substitute p = o + 2 to j, which gives j = o + 45.\n4. Substitute o = b + 2 to j, which gives j = b + 47.\n5. Substitute b = h + 11 to j, which gives j = h + 58.\n6. Substitute h = 9 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 119,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 12; w = m + 2; p = o + 2; j = t + 17; c = k + 20; l = h + 18; y = p + 10; t = y + 16; u = w + 8; m = c + 9; o = b + 2; h = 9; b = h + 11. If h = 9, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"n": "b + 10", "y": "n + 13", "k": "y + 19", "z": "k + 10", "w": "z + 6", "t": "w + 9", "r": "b + 8", "g": "r + 6", "h": "g + 1", "x": "h + 5", "o": "x + 4", "j": "o + 15", "b": 20}, "premises": {"b": 20}, "target": "t"}, "answer": {"steps": [["w", "z + 6", "z + 15"], ["z", "k + 10", "k + 25"], ["k", "y + 19", "y + 44"], ["y", "n + 13", "n + 57"], ["n", "b + 10", "b + 67"], ["b", 20, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"b": 20}, "is_reverse": true}}
| 120
| 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 = w + 9; r = b + 8; w = z + 6; b = 20; x = h + 5; g = r + 6; h = g + 1; o = x + 4; n = b + 10; j = o + 15; k = y + 19; y = n + 13; z = k + 10. If b = 20, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 6 to t, which gives t = z + 15.\n2. Substitute z = k + 10 to t, which gives t = k + 25.\n3. Substitute k = y + 19 to t, which gives t = y + 44.\n4. Substitute y = n + 13 to t, which gives t = n + 57.\n5. Substitute n = b + 10 to t, which gives t = b + 67.\n6. Substitute b = 20 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 120,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = w + 9; r = b + 8; w = z + 6; b = 20; x = h + 5; g = r + 6; h = g + 1; o = x + 4; n = b + 10; j = o + 15; k = y + 19; y = n + 13; z = k + 10. If b = 20, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"h": "e + 7", "x": "h + 9", "o": "x + 16", "r": "o + 18", "p": "r + 12", "d": "p + 17", "k": "e + 4", "m": "k + 3", "c": "m + 5", "y": "c + 13", "g": "y + 5", "b": "g + 12", "e": 1}, "premises": {"e": 1}, "target": "d"}, "answer": {"steps": [["p", "r + 12", "r + 29"], ["r", "o + 18", "o + 47"], ["o", "x + 16", "x + 63"], ["x", "h + 9", "h + 72"], ["h", "e + 7", "e + 79"], ["e", 1, "80"]], "target_var_name": "d", "target_value": 80, "value_dict": {"e": 1}, "is_reverse": true}}
| 121
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = k + 3; x = h + 9; k = e + 4; p = r + 12; e = 1; b = g + 12; g = y + 5; c = m + 5; r = o + 18; d = p + 17; y = c + 13; h = e + 7; o = x + 16. If e = 1, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 12 to d, which gives d = r + 29.\n2. Substitute r = o + 18 to d, which gives d = o + 47.\n3. Substitute o = x + 16 to d, which gives d = x + 63.\n4. Substitute x = h + 9 to d, which gives d = h + 72.\n5. Substitute h = e + 7 to d, which gives d = e + 79.\n6. Substitute e = 1 to d, which gives d = 80.\n\nThus, the final answer is d = \\boxed{80}.",
"index": 121,
"question": "Consider a system of variables where each variable is defined as follows: m = k + 3; x = h + 9; k = e + 4; p = r + 12; e = 1; b = g + 12; g = y + 5; c = m + 5; r = o + 18; d = p + 17; y = c + 13; h = e + 7; o = x + 16. If e = 1, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"j": "n + 6", "t": "j + 19", "p": "t + 14", "e": "p + 12", "d": "e + 18", "g": "d + 9", "r": "n + 17", "w": "r + 6", "m": "w + 12", "u": "m + 18", "a": "u + 14", "z": "a + 13", "n": 13}, "premises": {"n": 13}, "target": "g"}, "answer": {"steps": [["d", "e + 18", "e + 27"], ["e", "p + 12", "p + 39"], ["p", "t + 14", "t + 53"], ["t", "j + 19", "j + 72"], ["j", "n + 6", "n + 78"], ["n", 13, "91"]], "target_var_name": "g", "target_value": 91, "value_dict": {"n": 13}, "is_reverse": true}}
| 122
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = e + 18; t = j + 19; w = r + 6; g = d + 9; r = n + 17; z = a + 13; p = t + 14; u = m + 18; j = n + 6; e = p + 12; n = 13; a = u + 14; m = w + 12. Given that n = 13, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 18 to g, which gives g = e + 27.\n2. Substitute e = p + 12 to g, which gives g = p + 39.\n3. Substitute p = t + 14 to g, which gives g = t + 53.\n4. Substitute t = j + 19 to g, which gives g = j + 72.\n5. Substitute j = n + 6 to g, which gives g = n + 78.\n6. Substitute n = 13 to g, which gives g = 91.\n\nThus, the final answer is g = \\boxed{91}.",
"index": 122,
"question": "Suppose a collection of variables is related by the following definitions: d = e + 18; t = j + 19; w = r + 6; g = d + 9; r = n + 17; z = a + 13; p = t + 14; u = m + 18; j = n + 6; e = p + 12; n = 13; a = u + 14; m = w + 12. Given that n = 13, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"j": "u + 17", "k": "j + 10", "z": "k + 19", "i": "z + 11", "v": "i + 13", "a": "v + 17", "r": "u + 6", "x": "r + 18", "f": "x + 15", "d": "f + 15", "w": "d + 19", "p": "w + 8", "u": 5}, "premises": {"u": 5}, "target": "a"}, "answer": {"steps": [["v", "i + 13", "i + 30"], ["i", "z + 11", "z + 41"], ["z", "k + 19", "k + 60"], ["k", "j + 10", "j + 70"], ["j", "u + 17", "u + 87"], ["u", 5, "92"]], "target_var_name": "a", "target_value": 92, "value_dict": {"u": 5}, "is_reverse": true}}
| 123
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = u + 17; r = u + 6; v = i + 13; a = v + 17; w = d + 19; f = x + 15; d = f + 15; p = w + 8; u = 5; x = r + 18; z = k + 19; i = z + 11; k = j + 10. If u = 5, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 13 to a, which gives a = i + 30.\n2. Substitute i = z + 11 to a, which gives a = z + 41.\n3. Substitute z = k + 19 to a, which gives a = k + 60.\n4. Substitute k = j + 10 to a, which gives a = j + 70.\n5. Substitute j = u + 17 to a, which gives a = u + 87.\n6. Substitute u = 5 to a, which gives a = 92.\n\nThus, the final answer is a = \\boxed{92}.",
"index": 123,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = u + 17; r = u + 6; v = i + 13; a = v + 17; w = d + 19; f = x + 15; d = f + 15; p = w + 8; u = 5; x = r + 18; z = k + 19; i = z + 11; k = j + 10. If u = 5, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"m": "y + 12", "f": "m + 7", "z": "f + 10", "a": "z + 12", "o": "a + 20", "g": "o + 3", "e": "y + 4", "w": "e + 2", "i": "w + 3", "t": "i + 20", "d": "t + 19", "l": "d + 2", "y": 10}, "premises": {"y": 10}, "target": "g"}, "answer": {"steps": [["o", "a + 20", "a + 23"], ["a", "z + 12", "z + 35"], ["z", "f + 10", "f + 45"], ["f", "m + 7", "m + 52"], ["m", "y + 12", "y + 64"], ["y", 10, "74"]], "target_var_name": "g", "target_value": 74, "value_dict": {"y": 10}, "is_reverse": true}}
| 124
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 20; e = y + 4; a = z + 12; y = 10; g = o + 3; w = e + 2; l = d + 2; d = t + 19; z = f + 10; i = w + 3; f = m + 7; t = i + 20; m = y + 12. If y = 10, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = a + 20 to g, which gives g = a + 23.\n2. Substitute a = z + 12 to g, which gives g = z + 35.\n3. Substitute z = f + 10 to g, which gives g = f + 45.\n4. Substitute f = m + 7 to g, which gives g = m + 52.\n5. Substitute m = y + 12 to g, which gives g = y + 64.\n6. Substitute y = 10 to g, which gives g = 74.\n\nThus, the final answer is g = \\boxed{74}.",
"index": 124,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 20; e = y + 4; a = z + 12; y = 10; g = o + 3; w = e + 2; l = d + 2; d = t + 19; z = f + 10; i = w + 3; f = m + 7; t = i + 20; m = y + 12. If y = 10, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"j": "o + 17", "w": "j + 1", "m": "w + 1", "b": "m + 19", "l": "b + 9", "x": "l + 12", "c": "o + 20", "y": "c + 19", "a": "y + 19", "p": "a + 1", "s": "p + 11", "e": "s + 7", "o": 15}, "premises": {"o": 15}, "target": "x"}, "answer": {"steps": [["l", "b + 9", "b + 21"], ["b", "m + 19", "m + 40"], ["m", "w + 1", "w + 41"], ["w", "j + 1", "j + 42"], ["j", "o + 17", "o + 59"], ["o", 15, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"o": 15}, "is_reverse": true}}
| 125
| 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 = j + 1; b = m + 19; o = 15; s = p + 11; p = a + 1; m = w + 1; e = s + 7; y = c + 19; a = y + 19; c = o + 20; j = o + 17; l = b + 9; x = l + 12. If o = 15, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 9 to x, which gives x = b + 21.\n2. Substitute b = m + 19 to x, which gives x = m + 40.\n3. Substitute m = w + 1 to x, which gives x = w + 41.\n4. Substitute w = j + 1 to x, which gives x = j + 42.\n5. Substitute j = o + 17 to x, which gives x = o + 59.\n6. Substitute o = 15 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 125,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 1; b = m + 19; o = 15; s = p + 11; p = a + 1; m = w + 1; e = s + 7; y = c + 19; a = y + 19; c = o + 20; j = o + 17; l = b + 9; x = l + 12. If o = 15, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"d": "k + 2", "m": "d + 11", "z": "m + 8", "e": "z + 18", "g": "e + 15", "u": "g + 7", "y": "k + 16", "c": "y + 10", "w": "c + 16", "j": "w + 9", "n": "j + 10", "b": "n + 16", "k": 5}, "premises": {"k": 5}, "target": "u"}, "answer": {"steps": [["g", "e + 15", "e + 22"], ["e", "z + 18", "z + 40"], ["z", "m + 8", "m + 48"], ["m", "d + 11", "d + 59"], ["d", "k + 2", "k + 61"], ["k", 5, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"k": 5}, "is_reverse": true}}
| 126
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = w + 9; m = d + 11; u = g + 7; z = m + 8; y = k + 16; w = c + 16; b = n + 16; n = j + 10; k = 5; g = e + 15; e = z + 18; d = k + 2; c = y + 10. If k = 5, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 15 to u, which gives u = e + 22.\n2. Substitute e = z + 18 to u, which gives u = z + 40.\n3. Substitute z = m + 8 to u, which gives u = m + 48.\n4. Substitute m = d + 11 to u, which gives u = d + 59.\n5. Substitute d = k + 2 to u, which gives u = k + 61.\n6. Substitute k = 5 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 126,
"question": "Consider a system of variables where each variable is defined as follows: j = w + 9; m = d + 11; u = g + 7; z = m + 8; y = k + 16; w = c + 16; b = n + 16; n = j + 10; k = 5; g = e + 15; e = z + 18; d = k + 2; c = y + 10. If k = 5, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"y": "a + 20", "p": "y + 18", "h": "p + 15", "z": "h + 1", "o": "z + 8", "x": "o + 16", "s": "a + 17", "f": "s + 7", "t": "f + 3", "w": "t + 1", "c": "w + 6", "q": "c + 2", "a": 1}, "premises": {"a": 1}, "target": "x"}, "answer": {"steps": [["o", "z + 8", "z + 24"], ["z", "h + 1", "h + 25"], ["h", "p + 15", "p + 40"], ["p", "y + 18", "y + 58"], ["y", "a + 20", "a + 78"], ["a", 1, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"a": 1}, "is_reverse": true}}
| 127
| 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 = f + 3; h = p + 15; z = h + 1; f = s + 7; y = a + 20; c = w + 6; p = y + 18; x = o + 16; q = c + 2; a = 1; o = z + 8; w = t + 1; s = a + 17. If a = 1, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 8 to x, which gives x = z + 24.\n2. Substitute z = h + 1 to x, which gives x = h + 25.\n3. Substitute h = p + 15 to x, which gives x = p + 40.\n4. Substitute p = y + 18 to x, which gives x = y + 58.\n5. Substitute y = a + 20 to x, which gives x = a + 78.\n6. Substitute a = 1 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 127,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = f + 3; h = p + 15; z = h + 1; f = s + 7; y = a + 20; c = w + 6; p = y + 18; x = o + 16; q = c + 2; a = 1; o = z + 8; w = t + 1; s = a + 17. If a = 1, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"g": "t + 15", "m": "g + 19", "f": "m + 11", "x": "f + 5", "k": "x + 9", "w": "k + 18", "s": "t + 8", "a": "s + 10", "d": "a + 12", "q": "d + 6", "e": "q + 15", "v": "e + 11", "t": 8}, "premises": {"t": 8}, "target": "w"}, "answer": {"steps": [["k", "x + 9", "x + 27"], ["x", "f + 5", "f + 32"], ["f", "m + 11", "m + 43"], ["m", "g + 19", "g + 62"], ["g", "t + 15", "t + 77"], ["t", 8, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"t": 8}, "is_reverse": true}}
| 128
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = e + 11; t = 8; f = m + 11; m = g + 19; s = t + 8; x = f + 5; w = k + 18; g = t + 15; k = x + 9; d = a + 12; e = q + 15; q = d + 6; a = s + 10. If t = 8, determine 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 k = x + 9 to w, which gives w = x + 27.\n2. Substitute x = f + 5 to w, which gives w = f + 32.\n3. Substitute f = m + 11 to w, which gives w = m + 43.\n4. Substitute m = g + 19 to w, which gives w = g + 62.\n5. Substitute g = t + 15 to w, which gives w = t + 77.\n6. Substitute t = 8 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 128,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 11; t = 8; f = m + 11; m = g + 19; s = t + 8; x = f + 5; w = k + 18; g = t + 15; k = x + 9; d = a + 12; e = q + 15; q = d + 6; a = s + 10. If t = 8, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"w": "x + 3", "a": "w + 7", "f": "a + 8", "k": "f + 14", "g": "k + 2", "u": "g + 17", "v": "x + 15", "r": "v + 14", "h": "r + 1", "j": "h + 16", "y": "j + 12", "z": "y + 6", "x": 2}, "premises": {"x": 2}, "target": "u"}, "answer": {"steps": [["g", "k + 2", "k + 19"], ["k", "f + 14", "f + 33"], ["f", "a + 8", "a + 41"], ["a", "w + 7", "w + 48"], ["w", "x + 3", "x + 51"], ["x", 2, "53"]], "target_var_name": "u", "target_value": 53, "value_dict": {"x": 2}, "is_reverse": true}}
| 129
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = x + 15; g = k + 2; z = y + 6; w = x + 3; r = v + 14; x = 2; j = h + 16; k = f + 14; a = w + 7; u = g + 17; y = j + 12; f = a + 8; h = r + 1. If x = 2, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = k + 2 to u, which gives u = k + 19.\n2. Substitute k = f + 14 to u, which gives u = f + 33.\n3. Substitute f = a + 8 to u, which gives u = a + 41.\n4. Substitute a = w + 7 to u, which gives u = w + 48.\n5. Substitute w = x + 3 to u, which gives u = x + 51.\n6. Substitute x = 2 to u, which gives u = 53.\n\nThus, the final answer is u = \\boxed{53}.",
"index": 129,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = x + 15; g = k + 2; z = y + 6; w = x + 3; r = v + 14; x = 2; j = h + 16; k = f + 14; a = w + 7; u = g + 17; y = j + 12; f = a + 8; h = r + 1. If x = 2, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"g": "t + 4", "c": "g + 1", "e": "c + 15", "v": "e + 16", "s": "v + 4", "i": "s + 3", "o": "t + 5", "z": "o + 2", "w": "z + 16", "r": "w + 1", "k": "r + 13", "q": "k + 18", "t": 18}, "premises": {"t": 18}, "target": "i"}, "answer": {"steps": [["s", "v + 4", "v + 7"], ["v", "e + 16", "e + 23"], ["e", "c + 15", "c + 38"], ["c", "g + 1", "g + 39"], ["g", "t + 4", "t + 43"], ["t", 18, "61"]], "target_var_name": "i", "target_value": 61, "value_dict": {"t": 18}, "is_reverse": true}}
| 130
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = k + 18; s = v + 4; e = c + 15; g = t + 4; v = e + 16; w = z + 16; r = w + 1; i = s + 3; t = 18; c = g + 1; o = t + 5; k = r + 13; z = o + 2. Given that t = 18, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 4 to i, which gives i = v + 7.\n2. Substitute v = e + 16 to i, which gives i = e + 23.\n3. Substitute e = c + 15 to i, which gives i = c + 38.\n4. Substitute c = g + 1 to i, which gives i = g + 39.\n5. Substitute g = t + 4 to i, which gives i = t + 43.\n6. Substitute t = 18 to i, which gives i = 61.\n\nThus, the final answer is i = \\boxed{61}.",
"index": 130,
"question": "Suppose a collection of variables is related by the following definitions: q = k + 18; s = v + 4; e = c + 15; g = t + 4; v = e + 16; w = z + 16; r = w + 1; i = s + 3; t = 18; c = g + 1; o = t + 5; k = r + 13; z = o + 2. Given that t = 18, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"j": "p + 17", "x": "j + 17", "h": "x + 14", "b": "h + 16", "u": "b + 15", "l": "u + 5", "k": "p + 11", "e": "k + 12", "z": "e + 1", "f": "z + 4", "y": "f + 20", "v": "y + 15", "p": 18}, "premises": {"p": 18}, "target": "l"}, "answer": {"steps": [["u", "b + 15", "b + 20"], ["b", "h + 16", "h + 36"], ["h", "x + 14", "x + 50"], ["x", "j + 17", "j + 67"], ["j", "p + 17", "p + 84"], ["p", 18, "102"]], "target_var_name": "l", "target_value": 102, "value_dict": {"p": 18}, "is_reverse": true}}
| 131
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = x + 14; b = h + 16; j = p + 17; l = u + 5; f = z + 4; x = j + 17; u = b + 15; z = e + 1; v = y + 15; y = f + 20; e = k + 12; k = p + 11; p = 18. Given that p = 18, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 15 to l, which gives l = b + 20.\n2. Substitute b = h + 16 to l, which gives l = h + 36.\n3. Substitute h = x + 14 to l, which gives l = x + 50.\n4. Substitute x = j + 17 to l, which gives l = j + 67.\n5. Substitute j = p + 17 to l, which gives l = p + 84.\n6. Substitute p = 18 to l, which gives l = 102.\n\nThus, the final answer is l = \\boxed{102}.",
"index": 131,
"question": "Suppose a collection of variables is related by the following definitions: h = x + 14; b = h + 16; j = p + 17; l = u + 5; f = z + 4; x = j + 17; u = b + 15; z = e + 1; v = y + 15; y = f + 20; e = k + 12; k = p + 11; p = 18. Given that p = 18, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"b": "c + 12", "u": "b + 19", "q": "u + 3", "e": "q + 20", "s": "e + 18", "n": "s + 12", "o": "c + 13", "p": "o + 19", "j": "p + 1", "z": "j + 12", "l": "z + 13", "f": "l + 16", "c": 7}, "premises": {"c": 7}, "target": "n"}, "answer": {"steps": [["s", "e + 18", "e + 30"], ["e", "q + 20", "q + 50"], ["q", "u + 3", "u + 53"], ["u", "b + 19", "b + 72"], ["b", "c + 12", "c + 84"], ["c", 7, "91"]], "target_var_name": "n", "target_value": 91, "value_dict": {"c": 7}, "is_reverse": true}}
| 132
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = z + 13; f = l + 16; u = b + 19; n = s + 12; z = j + 12; q = u + 3; e = q + 20; o = c + 13; b = c + 12; s = e + 18; j = p + 1; p = o + 19; c = 7. Given that c = 7, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 18 to n, which gives n = e + 30.\n2. Substitute e = q + 20 to n, which gives n = q + 50.\n3. Substitute q = u + 3 to n, which gives n = u + 53.\n4. Substitute u = b + 19 to n, which gives n = b + 72.\n5. Substitute b = c + 12 to n, which gives n = c + 84.\n6. Substitute c = 7 to n, which gives n = 91.\n\nThus, the final answer is n = \\boxed{91}.",
"index": 132,
"question": "Suppose a collection of variables is related by the following definitions: l = z + 13; f = l + 16; u = b + 19; n = s + 12; z = j + 12; q = u + 3; e = q + 20; o = c + 13; b = c + 12; s = e + 18; j = p + 1; p = o + 19; c = 7. Given that c = 7, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"d": "n + 9", "f": "d + 10", "p": "f + 7", "m": "p + 15", "a": "m + 20", "w": "a + 18", "s": "n + 2", "j": "s + 13", "h": "j + 14", "l": "h + 8", "g": "l + 11", "o": "g + 4", "n": 14}, "premises": {"n": 14}, "target": "w"}, "answer": {"steps": [["a", "m + 20", "m + 38"], ["m", "p + 15", "p + 53"], ["p", "f + 7", "f + 60"], ["f", "d + 10", "d + 70"], ["d", "n + 9", "n + 79"], ["n", 14, "93"]], "target_var_name": "w", "target_value": 93, "value_dict": {"n": 14}, "is_reverse": true}}
| 133
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = m + 20; g = l + 11; w = a + 18; s = n + 2; j = s + 13; n = 14; h = j + 14; d = n + 9; l = h + 8; m = p + 15; p = f + 7; o = g + 4; f = d + 10. If n = 14, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 20 to w, which gives w = m + 38.\n2. Substitute m = p + 15 to w, which gives w = p + 53.\n3. Substitute p = f + 7 to w, which gives w = f + 60.\n4. Substitute f = d + 10 to w, which gives w = d + 70.\n5. Substitute d = n + 9 to w, which gives w = n + 79.\n6. Substitute n = 14 to w, which gives w = 93.\n\nThus, the final answer is w = \\boxed{93}.",
"index": 133,
"question": "Consider a system of variables where each variable is defined as follows: a = m + 20; g = l + 11; w = a + 18; s = n + 2; j = s + 13; n = 14; h = j + 14; d = n + 9; l = h + 8; m = p + 15; p = f + 7; o = g + 4; f = d + 10. If n = 14, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"b": "z + 5", "y": "b + 8", "x": "y + 8", "c": "x + 16", "e": "c + 2", "q": "e + 13", "v": "z + 12", "s": "v + 9", "g": "s + 15", "h": "g + 7", "r": "h + 3", "t": "r + 16", "z": 13}, "premises": {"z": 13}, "target": "q"}, "answer": {"steps": [["e", "c + 2", "c + 15"], ["c", "x + 16", "x + 31"], ["x", "y + 8", "y + 39"], ["y", "b + 8", "b + 47"], ["b", "z + 5", "z + 52"], ["z", 13, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"z": 13}, "is_reverse": true}}
| 134
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = e + 13; t = r + 16; r = h + 3; x = y + 8; z = 13; e = c + 2; h = g + 7; v = z + 12; c = x + 16; s = v + 9; b = z + 5; g = s + 15; y = b + 8. If z = 13, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 2 to q, which gives q = c + 15.\n2. Substitute c = x + 16 to q, which gives q = x + 31.\n3. Substitute x = y + 8 to q, which gives q = y + 39.\n4. Substitute y = b + 8 to q, which gives q = b + 47.\n5. Substitute b = z + 5 to q, which gives q = z + 52.\n6. Substitute z = 13 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 134,
"question": "Consider a system of variables where each variable is defined as follows: q = e + 13; t = r + 16; r = h + 3; x = y + 8; z = 13; e = c + 2; h = g + 7; v = z + 12; c = x + 16; s = v + 9; b = z + 5; g = s + 15; y = b + 8. If z = 13, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"k": "d + 9", "z": "k + 13", "h": "z + 17", "c": "h + 8", "j": "c + 5", "l": "j + 16", "p": "d + 7", "y": "p + 6", "u": "y + 14", "a": "u + 8", "o": "a + 2", "n": "o + 5", "d": 6}, "premises": {"d": 6}, "target": "l"}, "answer": {"steps": [["j", "c + 5", "c + 21"], ["c", "h + 8", "h + 29"], ["h", "z + 17", "z + 46"], ["z", "k + 13", "k + 59"], ["k", "d + 9", "d + 68"], ["d", 6, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"d": 6}, "is_reverse": true}}
| 135
| 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 = 6; a = u + 8; p = d + 7; n = o + 5; z = k + 13; l = j + 16; h = z + 17; k = d + 9; o = a + 2; y = p + 6; u = y + 14; c = h + 8; j = c + 5. If d = 6, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 5 to l, which gives l = c + 21.\n2. Substitute c = h + 8 to l, which gives l = h + 29.\n3. Substitute h = z + 17 to l, which gives l = z + 46.\n4. Substitute z = k + 13 to l, which gives l = k + 59.\n5. Substitute k = d + 9 to l, which gives l = d + 68.\n6. Substitute d = 6 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 135,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 6; a = u + 8; p = d + 7; n = o + 5; z = k + 13; l = j + 16; h = z + 17; k = d + 9; o = a + 2; y = p + 6; u = y + 14; c = h + 8; j = c + 5. If d = 6, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"m": "f + 19", "o": "m + 15", "a": "o + 7", "p": "a + 20", "u": "p + 17", "k": "u + 1", "x": "f + 2", "j": "x + 8", "z": "j + 1", "i": "z + 10", "e": "i + 11", "l": "e + 4", "f": 20}, "premises": {"f": 20}, "target": "k"}, "answer": {"steps": [["u", "p + 17", "p + 18"], ["p", "a + 20", "a + 38"], ["a", "o + 7", "o + 45"], ["o", "m + 15", "m + 60"], ["m", "f + 19", "f + 79"], ["f", 20, "99"]], "target_var_name": "k", "target_value": 99, "value_dict": {"f": 20}, "is_reverse": true}}
| 136
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = 20; i = z + 10; z = j + 1; o = m + 15; x = f + 2; e = i + 11; u = p + 17; a = o + 7; k = u + 1; p = a + 20; l = e + 4; m = f + 19; j = x + 8. Given that f = 20, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 17 to k, which gives k = p + 18.\n2. Substitute p = a + 20 to k, which gives k = a + 38.\n3. Substitute a = o + 7 to k, which gives k = o + 45.\n4. Substitute o = m + 15 to k, which gives k = m + 60.\n5. Substitute m = f + 19 to k, which gives k = f + 79.\n6. Substitute f = 20 to k, which gives k = 99.\n\nThus, the final answer is k = \\boxed{99}.",
"index": 136,
"question": "Suppose a collection of variables is related by the following definitions: f = 20; i = z + 10; z = j + 1; o = m + 15; x = f + 2; e = i + 11; u = p + 17; a = o + 7; k = u + 1; p = a + 20; l = e + 4; m = f + 19; j = x + 8. Given that f = 20, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"v": "z + 7", "k": "v + 1", "p": "k + 19", "r": "p + 10", "q": "r + 11", "t": "q + 6", "f": "z + 2", "g": "f + 3", "n": "g + 20", "d": "n + 2", "x": "d + 16", "u": "x + 2", "z": 10}, "premises": {"z": 10}, "target": "t"}, "answer": {"steps": [["q", "r + 11", "r + 17"], ["r", "p + 10", "p + 27"], ["p", "k + 19", "k + 46"], ["k", "v + 1", "v + 47"], ["v", "z + 7", "z + 54"], ["z", 10, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"z": 10}, "is_reverse": true}}
| 137
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = p + 10; z = 10; u = x + 2; t = q + 6; q = r + 11; x = d + 16; g = f + 3; v = z + 7; k = v + 1; n = g + 20; p = k + 19; d = n + 2; f = z + 2. Given that z = 10, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 11 to t, which gives t = r + 17.\n2. Substitute r = p + 10 to t, which gives t = p + 27.\n3. Substitute p = k + 19 to t, which gives t = k + 46.\n4. Substitute k = v + 1 to t, which gives t = v + 47.\n5. Substitute v = z + 7 to t, which gives t = z + 54.\n6. Substitute z = 10 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 137,
"question": "Suppose a collection of variables is related by the following definitions: r = p + 10; z = 10; u = x + 2; t = q + 6; q = r + 11; x = d + 16; g = f + 3; v = z + 7; k = v + 1; n = g + 20; p = k + 19; d = n + 2; f = z + 2. Given that z = 10, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"e": "m + 18", "n": "e + 9", "h": "n + 8", "f": "h + 7", "w": "f + 17", "r": "w + 5", "y": "m + 5", "b": "y + 4", "q": "b + 13", "a": "q + 1", "c": "a + 5", "g": "c + 12", "m": 9}, "premises": {"m": 9}, "target": "r"}, "answer": {"steps": [["w", "f + 17", "f + 22"], ["f", "h + 7", "h + 29"], ["h", "n + 8", "n + 37"], ["n", "e + 9", "e + 46"], ["e", "m + 18", "m + 64"], ["m", 9, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"m": 9}, "is_reverse": true}}
| 138
| 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 = n + 8; n = e + 9; b = y + 4; f = h + 7; m = 9; a = q + 1; g = c + 12; y = m + 5; r = w + 5; w = f + 17; e = m + 18; q = b + 13; c = a + 5. If m = 9, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 17 to r, which gives r = f + 22.\n2. Substitute f = h + 7 to r, which gives r = h + 29.\n3. Substitute h = n + 8 to r, which gives r = n + 37.\n4. Substitute n = e + 9 to r, which gives r = e + 46.\n5. Substitute e = m + 18 to r, which gives r = m + 64.\n6. Substitute m = 9 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 138,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 8; n = e + 9; b = y + 4; f = h + 7; m = 9; a = q + 1; g = c + 12; y = m + 5; r = w + 5; w = f + 17; e = m + 18; q = b + 13; c = a + 5. If m = 9, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"b": "r + 7", "j": "b + 17", "f": "j + 18", "k": "f + 14", "w": "k + 12", "t": "w + 16", "y": "r + 16", "g": "y + 1", "l": "g + 12", "n": "l + 10", "u": "n + 10", "z": "u + 20", "r": 12}, "premises": {"r": 12}, "target": "t"}, "answer": {"steps": [["w", "k + 12", "k + 28"], ["k", "f + 14", "f + 42"], ["f", "j + 18", "j + 60"], ["j", "b + 17", "b + 77"], ["b", "r + 7", "r + 84"], ["r", 12, "96"]], "target_var_name": "t", "target_value": 96, "value_dict": {"r": 12}, "is_reverse": true}}
| 139
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = l + 10; r = 12; w = k + 12; l = g + 12; k = f + 14; f = j + 18; b = r + 7; g = y + 1; z = u + 20; t = w + 16; j = b + 17; u = n + 10; y = r + 16. If r = 12, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 12 to t, which gives t = k + 28.\n2. Substitute k = f + 14 to t, which gives t = f + 42.\n3. Substitute f = j + 18 to t, which gives t = j + 60.\n4. Substitute j = b + 17 to t, which gives t = b + 77.\n5. Substitute b = r + 7 to t, which gives t = r + 84.\n6. Substitute r = 12 to t, which gives t = 96.\n\nThus, the final answer is t = \\boxed{96}.",
"index": 139,
"question": "Consider a system of variables where each variable is defined as follows: n = l + 10; r = 12; w = k + 12; l = g + 12; k = f + 14; f = j + 18; b = r + 7; g = y + 1; z = u + 20; t = w + 16; j = b + 17; u = n + 10; y = r + 16. If r = 12, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"l": "m + 8", "t": "l + 20", "k": "t + 13", "y": "k + 13", "i": "y + 12", "q": "i + 14", "r": "m + 6", "o": "r + 14", "g": "o + 5", "n": "g + 18", "c": "n + 3", "e": "c + 8", "m": 13}, "premises": {"m": 13}, "target": "q"}, "answer": {"steps": [["i", "y + 12", "y + 26"], ["y", "k + 13", "k + 39"], ["k", "t + 13", "t + 52"], ["t", "l + 20", "l + 72"], ["l", "m + 8", "m + 80"], ["m", 13, "93"]], "target_var_name": "q", "target_value": 93, "value_dict": {"m": 13}, "is_reverse": true}}
| 140
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = 13; c = n + 3; e = c + 8; l = m + 8; y = k + 13; n = g + 18; t = l + 20; r = m + 6; q = i + 14; g = o + 5; i = y + 12; k = t + 13; o = r + 14. If m = 13, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 12 to q, which gives q = y + 26.\n2. Substitute y = k + 13 to q, which gives q = k + 39.\n3. Substitute k = t + 13 to q, which gives q = t + 52.\n4. Substitute t = l + 20 to q, which gives q = l + 72.\n5. Substitute l = m + 8 to q, which gives q = m + 80.\n6. Substitute m = 13 to q, which gives q = 93.\n\nThus, the final answer is q = \\boxed{93}.",
"index": 140,
"question": "Consider a system of variables where each variable is defined as follows: m = 13; c = n + 3; e = c + 8; l = m + 8; y = k + 13; n = g + 18; t = l + 20; r = m + 6; q = i + 14; g = o + 5; i = y + 12; k = t + 13; o = r + 14. If m = 13, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"v": "e + 1", "g": "v + 20", "h": "g + 10", "a": "h + 12", "b": "a + 12", "k": "b + 10", "i": "e + 19", "w": "i + 8", "o": "w + 10", "n": "o + 10", "f": "n + 7", "c": "f + 7", "e": 6}, "premises": {"e": 6}, "target": "k"}, "answer": {"steps": [["b", "a + 12", "a + 22"], ["a", "h + 12", "h + 34"], ["h", "g + 10", "g + 44"], ["g", "v + 20", "v + 64"], ["v", "e + 1", "e + 65"], ["e", 6, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"e": 6}, "is_reverse": true}}
| 141
| 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 = h + 12; c = f + 7; b = a + 12; n = o + 10; g = v + 20; e = 6; w = i + 8; k = b + 10; o = w + 10; h = g + 10; v = e + 1; f = n + 7; i = e + 19. If e = 6, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 12 to k, which gives k = a + 22.\n2. Substitute a = h + 12 to k, which gives k = h + 34.\n3. Substitute h = g + 10 to k, which gives k = g + 44.\n4. Substitute g = v + 20 to k, which gives k = v + 64.\n5. Substitute v = e + 1 to k, which gives k = e + 65.\n6. Substitute e = 6 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 141,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 12; c = f + 7; b = a + 12; n = o + 10; g = v + 20; e = 6; w = i + 8; k = b + 10; o = w + 10; h = g + 10; v = e + 1; f = n + 7; i = e + 19. If e = 6, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"e": "x + 17", "o": "e + 4", "m": "o + 7", "t": "m + 10", "w": "t + 1", "n": "w + 6", "v": "x + 3", "q": "v + 16", "p": "q + 15", "u": "p + 13", "a": "u + 11", "r": "a + 13", "x": 8}, "premises": {"x": 8}, "target": "n"}, "answer": {"steps": [["w", "t + 1", "t + 7"], ["t", "m + 10", "m + 17"], ["m", "o + 7", "o + 24"], ["o", "e + 4", "e + 28"], ["e", "x + 17", "x + 45"], ["x", 8, "53"]], "target_var_name": "n", "target_value": 53, "value_dict": {"x": 8}, "is_reverse": true}}
| 142
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = t + 1; r = a + 13; u = p + 13; x = 8; o = e + 4; m = o + 7; q = v + 16; a = u + 11; p = q + 15; e = x + 17; v = x + 3; n = w + 6; t = m + 10. If x = 8, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 1 to n, which gives n = t + 7.\n2. Substitute t = m + 10 to n, which gives n = m + 17.\n3. Substitute m = o + 7 to n, which gives n = o + 24.\n4. Substitute o = e + 4 to n, which gives n = e + 28.\n5. Substitute e = x + 17 to n, which gives n = x + 45.\n6. Substitute x = 8 to n, which gives n = 53.\n\nThus, the final answer is n = \\boxed{53}.",
"index": 142,
"question": "Consider a system of variables where each variable is defined as follows: w = t + 1; r = a + 13; u = p + 13; x = 8; o = e + 4; m = o + 7; q = v + 16; a = u + 11; p = q + 15; e = x + 17; v = x + 3; n = w + 6; t = m + 10. If x = 8, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"w": "h + 16", "p": "w + 12", "i": "p + 12", "v": "i + 1", "u": "v + 13", "b": "u + 6", "k": "h + 12", "n": "k + 7", "s": "n + 11", "g": "s + 16", "x": "g + 1", "d": "x + 9", "h": 5}, "premises": {"h": 5}, "target": "b"}, "answer": {"steps": [["u", "v + 13", "v + 19"], ["v", "i + 1", "i + 20"], ["i", "p + 12", "p + 32"], ["p", "w + 12", "w + 44"], ["w", "h + 16", "h + 60"], ["h", 5, "65"]], "target_var_name": "b", "target_value": 65, "value_dict": {"h": 5}, "is_reverse": true}}
| 143
| 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 = n + 11; g = s + 16; v = i + 1; d = x + 9; b = u + 6; u = v + 13; h = 5; i = p + 12; x = g + 1; p = w + 12; w = h + 16; k = h + 12; n = k + 7. If h = 5, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 13 to b, which gives b = v + 19.\n2. Substitute v = i + 1 to b, which gives b = i + 20.\n3. Substitute i = p + 12 to b, which gives b = p + 32.\n4. Substitute p = w + 12 to b, which gives b = w + 44.\n5. Substitute w = h + 16 to b, which gives b = h + 60.\n6. Substitute h = 5 to b, which gives b = 65.\n\nThus, the final answer is b = \\boxed{65}.",
"index": 143,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = n + 11; g = s + 16; v = i + 1; d = x + 9; b = u + 6; u = v + 13; h = 5; i = p + 12; x = g + 1; p = w + 12; w = h + 16; k = h + 12; n = k + 7. If h = 5, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"y": "g + 4", "n": "y + 8", "i": "n + 4", "a": "i + 16", "r": "a + 9", "z": "r + 18", "u": "g + 6", "c": "u + 11", "l": "c + 12", "q": "l + 3", "o": "q + 1", "w": "o + 6", "g": 6}, "premises": {"g": 6}, "target": "z"}, "answer": {"steps": [["r", "a + 9", "a + 27"], ["a", "i + 16", "i + 43"], ["i", "n + 4", "n + 47"], ["n", "y + 8", "y + 55"], ["y", "g + 4", "g + 59"], ["g", 6, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"g": 6}, "is_reverse": true}}
| 144
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = 6; n = y + 8; u = g + 6; o = q + 1; q = l + 3; c = u + 11; l = c + 12; r = a + 9; i = n + 4; y = g + 4; z = r + 18; w = o + 6; a = i + 16. If g = 6, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 9 to z, which gives z = a + 27.\n2. Substitute a = i + 16 to z, which gives z = i + 43.\n3. Substitute i = n + 4 to z, which gives z = n + 47.\n4. Substitute n = y + 8 to z, which gives z = y + 55.\n5. Substitute y = g + 4 to z, which gives z = g + 59.\n6. Substitute g = 6 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 144,
"question": "Consider a system of variables where each variable is defined as follows: g = 6; n = y + 8; u = g + 6; o = q + 1; q = l + 3; c = u + 11; l = c + 12; r = a + 9; i = n + 4; y = g + 4; z = r + 18; w = o + 6; a = i + 16. If g = 6, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"o": "y + 5", "a": "o + 16", "k": "a + 15", "b": "k + 6", "v": "b + 1", "w": "v + 4", "j": "y + 18", "f": "j + 13", "p": "f + 19", "i": "p + 9", "u": "i + 9", "h": "u + 1", "y": 13}, "premises": {"y": 13}, "target": "w"}, "answer": {"steps": [["v", "b + 1", "b + 5"], ["b", "k + 6", "k + 11"], ["k", "a + 15", "a + 26"], ["a", "o + 16", "o + 42"], ["o", "y + 5", "y + 47"], ["y", 13, "60"]], "target_var_name": "w", "target_value": 60, "value_dict": {"y": 13}, "is_reverse": true}}
| 145
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = y + 18; p = f + 19; v = b + 1; k = a + 15; u = i + 9; y = 13; h = u + 1; b = k + 6; o = y + 5; a = o + 16; w = v + 4; i = p + 9; f = j + 13. If y = 13, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 1 to w, which gives w = b + 5.\n2. Substitute b = k + 6 to w, which gives w = k + 11.\n3. Substitute k = a + 15 to w, which gives w = a + 26.\n4. Substitute a = o + 16 to w, which gives w = o + 42.\n5. Substitute o = y + 5 to w, which gives w = y + 47.\n6. Substitute y = 13 to w, which gives w = 60.\n\nThus, the final answer is w = \\boxed{60}.",
"index": 145,
"question": "Consider a system of variables where each variable is defined as follows: j = y + 18; p = f + 19; v = b + 1; k = a + 15; u = i + 9; y = 13; h = u + 1; b = k + 6; o = y + 5; a = o + 16; w = v + 4; i = p + 9; f = j + 13. If y = 13, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"g": "o + 10", "e": "g + 2", "u": "e + 14", "x": "u + 20", "t": "x + 17", "p": "t + 5", "s": "o + 1", "n": "s + 10", "w": "n + 14", "z": "w + 9", "h": "z + 7", "a": "h + 17", "o": 6}, "premises": {"o": 6}, "target": "p"}, "answer": {"steps": [["t", "x + 17", "x + 22"], ["x", "u + 20", "u + 42"], ["u", "e + 14", "e + 56"], ["e", "g + 2", "g + 58"], ["g", "o + 10", "o + 68"], ["o", 6, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"o": 6}, "is_reverse": true}}
| 146
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 17; p = t + 5; o = 6; z = w + 9; e = g + 2; x = u + 20; w = n + 14; t = x + 17; h = z + 7; g = o + 10; u = e + 14; n = s + 10; s = o + 1. If o = 6, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 17 to p, which gives p = x + 22.\n2. Substitute x = u + 20 to p, which gives p = u + 42.\n3. Substitute u = e + 14 to p, which gives p = e + 56.\n4. Substitute e = g + 2 to p, which gives p = g + 58.\n5. Substitute g = o + 10 to p, which gives p = o + 68.\n6. Substitute o = 6 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 146,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 17; p = t + 5; o = 6; z = w + 9; e = g + 2; x = u + 20; w = n + 14; t = x + 17; h = z + 7; g = o + 10; u = e + 14; n = s + 10; s = o + 1. If o = 6, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"s": "w + 13", "d": "s + 1", "u": "d + 10", "o": "u + 14", "r": "o + 7", "c": "r + 19", "q": "w + 17", "h": "q + 9", "n": "h + 4", "j": "n + 8", "a": "j + 14", "k": "a + 2", "w": 8}, "premises": {"w": 8}, "target": "c"}, "answer": {"steps": [["r", "o + 7", "o + 26"], ["o", "u + 14", "u + 40"], ["u", "d + 10", "d + 50"], ["d", "s + 1", "s + 51"], ["s", "w + 13", "w + 64"], ["w", 8, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"w": 8}, "is_reverse": true}}
| 147
| 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 = u + 14; r = o + 7; j = n + 8; k = a + 2; h = q + 9; s = w + 13; q = w + 17; w = 8; n = h + 4; u = d + 10; d = s + 1; c = r + 19; a = j + 14. If w = 8, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 7 to c, which gives c = o + 26.\n2. Substitute o = u + 14 to c, which gives c = u + 40.\n3. Substitute u = d + 10 to c, which gives c = d + 50.\n4. Substitute d = s + 1 to c, which gives c = s + 51.\n5. Substitute s = w + 13 to c, which gives c = w + 64.\n6. Substitute w = 8 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 147,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = u + 14; r = o + 7; j = n + 8; k = a + 2; h = q + 9; s = w + 13; q = w + 17; w = 8; n = h + 4; u = d + 10; d = s + 1; c = r + 19; a = j + 14. If w = 8, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"w": "e + 8", "n": "w + 11", "p": "n + 4", "c": "p + 9", "l": "c + 6", "i": "l + 7", "j": "e + 6", "t": "j + 1", "h": "t + 18", "u": "h + 14", "b": "u + 16", "v": "b + 6", "e": 3}, "premises": {"e": 3}, "target": "i"}, "answer": {"steps": [["l", "c + 6", "c + 13"], ["c", "p + 9", "p + 22"], ["p", "n + 4", "n + 26"], ["n", "w + 11", "w + 37"], ["w", "e + 8", "e + 45"], ["e", 3, "48"]], "target_var_name": "i", "target_value": 48, "value_dict": {"e": 3}, "is_reverse": true}}
| 148
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = n + 4; w = e + 8; i = l + 7; c = p + 9; t = j + 1; v = b + 6; u = h + 14; e = 3; j = e + 6; h = t + 18; b = u + 16; n = w + 11; l = c + 6. Given that e = 3, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 6 to i, which gives i = c + 13.\n2. Substitute c = p + 9 to i, which gives i = p + 22.\n3. Substitute p = n + 4 to i, which gives i = n + 26.\n4. Substitute n = w + 11 to i, which gives i = w + 37.\n5. Substitute w = e + 8 to i, which gives i = e + 45.\n6. Substitute e = 3 to i, which gives i = 48.\n\nThus, the final answer is i = \\boxed{48}.",
"index": 148,
"question": "Suppose a collection of variables is related by the following definitions: p = n + 4; w = e + 8; i = l + 7; c = p + 9; t = j + 1; v = b + 6; u = h + 14; e = 3; j = e + 6; h = t + 18; b = u + 16; n = w + 11; l = c + 6. Given that e = 3, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"q": "w + 1", "l": "q + 14", "j": "l + 11", "i": "j + 13", "y": "i + 13", "s": "y + 17", "t": "w + 19", "h": "t + 18", "z": "h + 3", "x": "z + 7", "f": "x + 18", "b": "f + 16", "w": 14}, "premises": {"w": 14}, "target": "s"}, "answer": {"steps": [["y", "i + 13", "i + 30"], ["i", "j + 13", "j + 43"], ["j", "l + 11", "l + 54"], ["l", "q + 14", "q + 68"], ["q", "w + 1", "w + 69"], ["w", 14, "83"]], "target_var_name": "s", "target_value": 83, "value_dict": {"w": 14}, "is_reverse": true}}
| 149
| 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 = q + 14; b = f + 16; x = z + 7; h = t + 18; f = x + 18; s = y + 17; q = w + 1; i = j + 13; z = h + 3; y = i + 13; t = w + 19; w = 14; j = l + 11. If w = 14, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 13 to s, which gives s = i + 30.\n2. Substitute i = j + 13 to s, which gives s = j + 43.\n3. Substitute j = l + 11 to s, which gives s = l + 54.\n4. Substitute l = q + 14 to s, which gives s = q + 68.\n5. Substitute q = w + 1 to s, which gives s = w + 69.\n6. Substitute w = 14 to s, which gives s = 83.\n\nThus, the final answer is s = \\boxed{83}.",
"index": 149,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = q + 14; b = f + 16; x = z + 7; h = t + 18; f = x + 18; s = y + 17; q = w + 1; i = j + 13; z = h + 3; y = i + 13; t = w + 19; w = 14; j = l + 11. If w = 14, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"v": "h + 3", "r": "v + 18", "t": "r + 10", "c": "t + 5", "j": "c + 15", "k": "j + 13", "m": "h + 7", "p": "m + 6", "g": "p + 8", "o": "g + 9", "n": "o + 17", "b": "n + 7", "h": 2}, "premises": {"h": 2}, "target": "k"}, "answer": {"steps": [["j", "c + 15", "c + 28"], ["c", "t + 5", "t + 33"], ["t", "r + 10", "r + 43"], ["r", "v + 18", "v + 61"], ["v", "h + 3", "h + 64"], ["h", 2, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"h": 2}, "is_reverse": true}}
| 150
| 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 = c + 15; b = n + 7; k = j + 13; o = g + 9; g = p + 8; v = h + 3; p = m + 6; c = t + 5; r = v + 18; n = o + 17; t = r + 10; m = h + 7; h = 2. If h = 2, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 15 to k, which gives k = c + 28.\n2. Substitute c = t + 5 to k, which gives k = t + 33.\n3. Substitute t = r + 10 to k, which gives k = r + 43.\n4. Substitute r = v + 18 to k, which gives k = v + 61.\n5. Substitute v = h + 3 to k, which gives k = h + 64.\n6. Substitute h = 2 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 150,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = c + 15; b = n + 7; k = j + 13; o = g + 9; g = p + 8; v = h + 3; p = m + 6; c = t + 5; r = v + 18; n = o + 17; t = r + 10; m = h + 7; h = 2. If h = 2, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"t": "u + 16", "m": "t + 15", "b": "m + 2", "a": "b + 20", "o": "a + 2", "e": "o + 19", "q": "u + 11", "h": "q + 9", "s": "h + 14", "z": "s + 1", "l": "z + 8", "c": "l + 2", "u": 2}, "premises": {"u": 2}, "target": "e"}, "answer": {"steps": [["o", "a + 2", "a + 21"], ["a", "b + 20", "b + 41"], ["b", "m + 2", "m + 43"], ["m", "t + 15", "t + 58"], ["t", "u + 16", "u + 74"], ["u", 2, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"u": 2}, "is_reverse": true}}
| 151
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 2; t = u + 16; a = b + 20; z = s + 1; h = q + 9; b = m + 2; c = l + 2; m = t + 15; s = h + 14; l = z + 8; q = u + 11; u = 2; e = o + 19. If u = 2, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = a + 2 to e, which gives e = a + 21.\n2. Substitute a = b + 20 to e, which gives e = b + 41.\n3. Substitute b = m + 2 to e, which gives e = m + 43.\n4. Substitute m = t + 15 to e, which gives e = t + 58.\n5. Substitute t = u + 16 to e, which gives e = u + 74.\n6. Substitute u = 2 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 151,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 2; t = u + 16; a = b + 20; z = s + 1; h = q + 9; b = m + 2; c = l + 2; m = t + 15; s = h + 14; l = z + 8; q = u + 11; u = 2; e = o + 19. If u = 2, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"a": "n + 11", "q": "a + 2", "h": "q + 20", "z": "h + 19", "w": "z + 14", "x": "w + 11", "u": "n + 14", "t": "u + 10", "e": "t + 1", "f": "e + 9", "v": "f + 9", "d": "v + 15", "n": 10}, "premises": {"n": 10}, "target": "x"}, "answer": {"steps": [["w", "z + 14", "z + 25"], ["z", "h + 19", "h + 44"], ["h", "q + 20", "q + 64"], ["q", "a + 2", "a + 66"], ["a", "n + 11", "n + 77"], ["n", 10, "87"]], "target_var_name": "x", "target_value": 87, "value_dict": {"n": 10}, "is_reverse": true}}
| 152
| 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 = n + 14; x = w + 11; v = f + 9; t = u + 10; d = v + 15; h = q + 20; q = a + 2; n = 10; w = z + 14; z = h + 19; f = e + 9; e = t + 1; a = n + 11. If n = 10, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 14 to x, which gives x = z + 25.\n2. Substitute z = h + 19 to x, which gives x = h + 44.\n3. Substitute h = q + 20 to x, which gives x = q + 64.\n4. Substitute q = a + 2 to x, which gives x = a + 66.\n5. Substitute a = n + 11 to x, which gives x = n + 77.\n6. Substitute n = 10 to x, which gives x = 87.\n\nThus, the final answer is x = \\boxed{87}.",
"index": 152,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = n + 14; x = w + 11; v = f + 9; t = u + 10; d = v + 15; h = q + 20; q = a + 2; n = 10; w = z + 14; z = h + 19; f = e + 9; e = t + 1; a = n + 11. If n = 10, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"k": "f + 11", "o": "k + 18", "p": "o + 12", "t": "p + 11", "g": "t + 4", "s": "g + 4", "m": "f + 7", "j": "m + 19", "v": "j + 17", "n": "v + 7", "a": "n + 16", "y": "a + 7", "f": 10}, "premises": {"f": 10}, "target": "s"}, "answer": {"steps": [["g", "t + 4", "t + 8"], ["t", "p + 11", "p + 19"], ["p", "o + 12", "o + 31"], ["o", "k + 18", "k + 49"], ["k", "f + 11", "f + 60"], ["f", 10, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"f": 10}, "is_reverse": true}}
| 153
| 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 = t + 4; p = o + 12; o = k + 18; k = f + 11; t = p + 11; f = 10; j = m + 19; s = g + 4; v = j + 17; y = a + 7; a = n + 16; n = v + 7; m = f + 7. If f = 10, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 4 to s, which gives s = t + 8.\n2. Substitute t = p + 11 to s, which gives s = p + 19.\n3. Substitute p = o + 12 to s, which gives s = o + 31.\n4. Substitute o = k + 18 to s, which gives s = k + 49.\n5. Substitute k = f + 11 to s, which gives s = f + 60.\n6. Substitute f = 10 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 153,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = t + 4; p = o + 12; o = k + 18; k = f + 11; t = p + 11; f = 10; j = m + 19; s = g + 4; v = j + 17; y = a + 7; a = n + 16; n = v + 7; m = f + 7. If f = 10, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"v": "s + 14", "f": "v + 8", "i": "f + 7", "e": "i + 14", "u": "e + 9", "j": "u + 9", "w": "s + 13", "b": "w + 12", "q": "b + 6", "l": "q + 11", "a": "l + 18", "c": "a + 15", "s": 9}, "premises": {"s": 9}, "target": "j"}, "answer": {"steps": [["u", "e + 9", "e + 18"], ["e", "i + 14", "i + 32"], ["i", "f + 7", "f + 39"], ["f", "v + 8", "v + 47"], ["v", "s + 14", "s + 61"], ["s", 9, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"s": 9}, "is_reverse": true}}
| 154
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = b + 6; c = a + 15; a = l + 18; b = w + 12; i = f + 7; e = i + 14; w = s + 13; j = u + 9; s = 9; u = e + 9; l = q + 11; f = v + 8; v = s + 14. Given that s = 9, find the 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 u = e + 9 to j, which gives j = e + 18.\n2. Substitute e = i + 14 to j, which gives j = i + 32.\n3. Substitute i = f + 7 to j, which gives j = f + 39.\n4. Substitute f = v + 8 to j, which gives j = v + 47.\n5. Substitute v = s + 14 to j, which gives j = s + 61.\n6. Substitute s = 9 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 154,
"question": "Suppose a collection of variables is related by the following definitions: q = b + 6; c = a + 15; a = l + 18; b = w + 12; i = f + 7; e = i + 14; w = s + 13; j = u + 9; s = 9; u = e + 9; l = q + 11; f = v + 8; v = s + 14. Given that s = 9, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"v": "z + 10", "r": "v + 12", "m": "r + 9", "u": "m + 5", "b": "u + 7", "l": "b + 7", "f": "z + 17", "w": "f + 20", "t": "w + 13", "j": "t + 2", "n": "j + 14", "p": "n + 15", "z": 8}, "premises": {"z": 8}, "target": "l"}, "answer": {"steps": [["b", "u + 7", "u + 14"], ["u", "m + 5", "m + 19"], ["m", "r + 9", "r + 28"], ["r", "v + 12", "v + 40"], ["v", "z + 10", "z + 50"], ["z", 8, "58"]], "target_var_name": "l", "target_value": 58, "value_dict": {"z": 8}, "is_reverse": true}}
| 155
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = b + 7; z = 8; u = m + 5; v = z + 10; n = j + 14; t = w + 13; j = t + 2; w = f + 20; f = z + 17; r = v + 12; m = r + 9; b = u + 7; p = n + 15. Given that z = 8, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 7 to l, which gives l = u + 14.\n2. Substitute u = m + 5 to l, which gives l = m + 19.\n3. Substitute m = r + 9 to l, which gives l = r + 28.\n4. Substitute r = v + 12 to l, which gives l = v + 40.\n5. Substitute v = z + 10 to l, which gives l = z + 50.\n6. Substitute z = 8 to l, which gives l = 58.\n\nThus, the final answer is l = \\boxed{58}.",
"index": 155,
"question": "Suppose a collection of variables is related by the following definitions: l = b + 7; z = 8; u = m + 5; v = z + 10; n = j + 14; t = w + 13; j = t + 2; w = f + 20; f = z + 17; r = v + 12; m = r + 9; b = u + 7; p = n + 15. Given that z = 8, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "n + 11", "h": "w + 3", "t": "h + 14", "s": "t + 20", "o": "s + 9", "i": "o + 5", "x": "n + 9", "e": "x + 1", "k": "e + 11", "j": "k + 2", "l": "j + 15", "d": "l + 7", "n": 7}, "premises": {"n": 7}, "target": "i"}, "answer": {"steps": [["o", "s + 9", "s + 14"], ["s", "t + 20", "t + 34"], ["t", "h + 14", "h + 48"], ["h", "w + 3", "w + 51"], ["w", "n + 11", "n + 62"], ["n", 7, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"n": 7}, "is_reverse": true}}
| 156
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = n + 11; s = t + 20; e = x + 1; n = 7; k = e + 11; l = j + 15; x = n + 9; o = s + 9; t = h + 14; d = l + 7; j = k + 2; i = o + 5; h = w + 3. If n = 7, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 9 to i, which gives i = s + 14.\n2. Substitute s = t + 20 to i, which gives i = t + 34.\n3. Substitute t = h + 14 to i, which gives i = h + 48.\n4. Substitute h = w + 3 to i, which gives i = w + 51.\n5. Substitute w = n + 11 to i, which gives i = n + 62.\n6. Substitute n = 7 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 156,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = n + 11; s = t + 20; e = x + 1; n = 7; k = e + 11; l = j + 15; x = n + 9; o = s + 9; t = h + 14; d = l + 7; j = k + 2; i = o + 5; h = w + 3. If n = 7, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 7", "o": "t + 12", "e": "o + 7", "q": "e + 10", "a": "q + 13", "c": "a + 13", "l": "n + 14", "h": "l + 20", "i": "h + 10", "m": "i + 16", "d": "m + 2", "r": "d + 16", "n": 9}, "premises": {"n": 9}, "target": "c"}, "answer": {"steps": [["a", "q + 13", "q + 26"], ["q", "e + 10", "e + 36"], ["e", "o + 7", "o + 43"], ["o", "t + 12", "t + 55"], ["t", "n + 7", "n + 62"], ["n", 9, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"n": 9}, "is_reverse": true}}
| 157
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 10; t = n + 7; e = o + 7; c = a + 13; n = 9; o = t + 12; r = d + 16; a = q + 13; m = i + 16; h = l + 20; d = m + 2; i = h + 10; l = n + 14. If n = 9, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 13 to c, which gives c = q + 26.\n2. Substitute q = e + 10 to c, which gives c = e + 36.\n3. Substitute e = o + 7 to c, which gives c = o + 43.\n4. Substitute o = t + 12 to c, which gives c = t + 55.\n5. Substitute t = n + 7 to c, which gives c = n + 62.\n6. Substitute n = 9 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 157,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 10; t = n + 7; e = o + 7; c = a + 13; n = 9; o = t + 12; r = d + 16; a = q + 13; m = i + 16; h = l + 20; d = m + 2; i = h + 10; l = n + 14. If n = 9, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"b": "s + 16", "q": "b + 12", "w": "q + 4", "c": "w + 6", "n": "c + 6", "y": "n + 17", "t": "s + 15", "d": "t + 10", "x": "d + 5", "h": "x + 8", "i": "h + 1", "v": "i + 20", "s": 7}, "premises": {"s": 7}, "target": "y"}, "answer": {"steps": [["n", "c + 6", "c + 23"], ["c", "w + 6", "w + 29"], ["w", "q + 4", "q + 33"], ["q", "b + 12", "b + 45"], ["b", "s + 16", "s + 61"], ["s", 7, "68"]], "target_var_name": "y", "target_value": 68, "value_dict": {"s": 7}, "is_reverse": true}}
| 158
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = s + 15; v = i + 20; x = d + 5; n = c + 6; h = x + 8; d = t + 10; i = h + 1; c = w + 6; y = n + 17; q = b + 12; w = q + 4; b = s + 16; s = 7. If s = 7, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 6 to y, which gives y = c + 23.\n2. Substitute c = w + 6 to y, which gives y = w + 29.\n3. Substitute w = q + 4 to y, which gives y = q + 33.\n4. Substitute q = b + 12 to y, which gives y = b + 45.\n5. Substitute b = s + 16 to y, which gives y = s + 61.\n6. Substitute s = 7 to y, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 158,
"question": "Consider a system of variables where each variable is defined as follows: t = s + 15; v = i + 20; x = d + 5; n = c + 6; h = x + 8; d = t + 10; i = h + 1; c = w + 6; y = n + 17; q = b + 12; w = q + 4; b = s + 16; s = 7. If s = 7, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"y": "r + 5", "a": "y + 10", "o": "a + 18", "c": "o + 5", "d": "c + 11", "b": "d + 3", "s": "r + 12", "k": "s + 19", "z": "k + 20", "p": "z + 4", "q": "p + 8", "u": "q + 20", "r": 3}, "premises": {"r": 3}, "target": "b"}, "answer": {"steps": [["d", "c + 11", "c + 14"], ["c", "o + 5", "o + 19"], ["o", "a + 18", "a + 37"], ["a", "y + 10", "y + 47"], ["y", "r + 5", "r + 52"], ["r", 3, "55"]], "target_var_name": "b", "target_value": 55, "value_dict": {"r": 3}, "is_reverse": true}}
| 159
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = s + 19; y = r + 5; a = y + 10; s = r + 12; d = c + 11; b = d + 3; p = z + 4; r = 3; u = q + 20; z = k + 20; c = o + 5; q = p + 8; o = a + 18. Given that r = 3, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 11 to b, which gives b = c + 14.\n2. Substitute c = o + 5 to b, which gives b = o + 19.\n3. Substitute o = a + 18 to b, which gives b = a + 37.\n4. Substitute a = y + 10 to b, which gives b = y + 47.\n5. Substitute y = r + 5 to b, which gives b = r + 52.\n6. Substitute r = 3 to b, which gives b = 55.\n\nThus, the final answer is b = \\boxed{55}.",
"index": 159,
"question": "Suppose a collection of variables is related by the following definitions: k = s + 19; y = r + 5; a = y + 10; s = r + 12; d = c + 11; b = d + 3; p = z + 4; r = 3; u = q + 20; z = k + 20; c = o + 5; q = p + 8; o = a + 18. Given that r = 3, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"l": "d + 15", "x": "l + 6", "h": "x + 18", "q": "h + 8", "n": "q + 20", "p": "n + 12", "b": "d + 12", "k": "b + 6", "m": "k + 13", "r": "m + 10", "c": "r + 13", "e": "c + 5", "d": 4}, "premises": {"d": 4}, "target": "p"}, "answer": {"steps": [["n", "q + 20", "q + 32"], ["q", "h + 8", "h + 40"], ["h", "x + 18", "x + 58"], ["x", "l + 6", "l + 64"], ["l", "d + 15", "d + 79"], ["d", 4, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"d": 4}, "is_reverse": true}}
| 160
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = m + 10; n = q + 20; e = c + 5; x = l + 6; k = b + 6; c = r + 13; m = k + 13; q = h + 8; l = d + 15; b = d + 12; p = n + 12; h = x + 18; d = 4. If d = 4, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 20 to p, which gives p = q + 32.\n2. Substitute q = h + 8 to p, which gives p = h + 40.\n3. Substitute h = x + 18 to p, which gives p = x + 58.\n4. Substitute x = l + 6 to p, which gives p = l + 64.\n5. Substitute l = d + 15 to p, which gives p = d + 79.\n6. Substitute d = 4 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 160,
"question": "Consider a system of variables where each variable is defined as follows: r = m + 10; n = q + 20; e = c + 5; x = l + 6; k = b + 6; c = r + 13; m = k + 13; q = h + 8; l = d + 15; b = d + 12; p = n + 12; h = x + 18; d = 4. If d = 4, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"z": "f + 19", "r": "z + 20", "p": "r + 17", "j": "p + 6", "q": "j + 1", "x": "q + 15", "l": "f + 14", "k": "l + 12", "w": "k + 6", "e": "w + 3", "g": "e + 1", "t": "g + 6", "f": 9}, "premises": {"f": 9}, "target": "x"}, "answer": {"steps": [["q", "j + 1", "j + 16"], ["j", "p + 6", "p + 22"], ["p", "r + 17", "r + 39"], ["r", "z + 20", "z + 59"], ["z", "f + 19", "f + 78"], ["f", 9, "87"]], "target_var_name": "x", "target_value": 87, "value_dict": {"f": 9}, "is_reverse": true}}
| 161
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 14; p = r + 17; g = e + 1; z = f + 19; j = p + 6; q = j + 1; w = k + 6; k = l + 12; t = g + 6; x = q + 15; e = w + 3; r = z + 20; f = 9. If f = 9, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 1 to x, which gives x = j + 16.\n2. Substitute j = p + 6 to x, which gives x = p + 22.\n3. Substitute p = r + 17 to x, which gives x = r + 39.\n4. Substitute r = z + 20 to x, which gives x = z + 59.\n5. Substitute z = f + 19 to x, which gives x = f + 78.\n6. Substitute f = 9 to x, which gives x = 87.\n\nThus, the final answer is x = \\boxed{87}.",
"index": 161,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 14; p = r + 17; g = e + 1; z = f + 19; j = p + 6; q = j + 1; w = k + 6; k = l + 12; t = g + 6; x = q + 15; e = w + 3; r = z + 20; f = 9. If f = 9, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 16", "p": "g + 17", "l": "p + 3", "r": "l + 1", "d": "r + 5", "c": "d + 7", "z": "a + 14", "e": "z + 13", "k": "e + 10", "n": "k + 1", "t": "n + 19", "x": "t + 14", "a": 6}, "premises": {"a": 6}, "target": "c"}, "answer": {"steps": [["d", "r + 5", "r + 12"], ["r", "l + 1", "l + 13"], ["l", "p + 3", "p + 16"], ["p", "g + 17", "g + 33"], ["g", "a + 16", "a + 49"], ["a", 6, "55"]], "target_var_name": "c", "target_value": 55, "value_dict": {"a": 6}, "is_reverse": true}}
| 162
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = t + 14; a = 6; l = p + 3; n = k + 1; c = d + 7; k = e + 10; t = n + 19; z = a + 14; p = g + 17; e = z + 13; d = r + 5; r = l + 1; g = a + 16. If a = 6, determine 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 d = r + 5 to c, which gives c = r + 12.\n2. Substitute r = l + 1 to c, which gives c = l + 13.\n3. Substitute l = p + 3 to c, which gives c = p + 16.\n4. Substitute p = g + 17 to c, which gives c = g + 33.\n5. Substitute g = a + 16 to c, which gives c = a + 49.\n6. Substitute a = 6 to c, which gives c = 55.\n\nThus, the final answer is c = \\boxed{55}.",
"index": 162,
"question": "Consider a system of variables where each variable is defined as follows: x = t + 14; a = 6; l = p + 3; n = k + 1; c = d + 7; k = e + 10; t = n + 19; z = a + 14; p = g + 17; e = z + 13; d = r + 5; r = l + 1; g = a + 16. If a = 6, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"o": "d + 13", "w": "o + 13", "c": "w + 4", "y": "c + 13", "t": "y + 5", "g": "t + 1", "u": "d + 8", "f": "u + 6", "v": "f + 5", "i": "v + 5", "p": "i + 15", "j": "p + 13", "d": 2}, "premises": {"d": 2}, "target": "g"}, "answer": {"steps": [["t", "y + 5", "y + 6"], ["y", "c + 13", "c + 19"], ["c", "w + 4", "w + 23"], ["w", "o + 13", "o + 36"], ["o", "d + 13", "d + 49"], ["d", 2, "51"]], "target_var_name": "g", "target_value": 51, "value_dict": {"d": 2}, "is_reverse": true}}
| 163
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = u + 6; y = c + 13; u = d + 8; w = o + 13; d = 2; g = t + 1; p = i + 15; c = w + 4; v = f + 5; j = p + 13; t = y + 5; i = v + 5; o = d + 13. If d = 2, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 5 to g, which gives g = y + 6.\n2. Substitute y = c + 13 to g, which gives g = c + 19.\n3. Substitute c = w + 4 to g, which gives g = w + 23.\n4. Substitute w = o + 13 to g, which gives g = o + 36.\n5. Substitute o = d + 13 to g, which gives g = d + 49.\n6. Substitute d = 2 to g, which gives g = 51.\n\nThus, the final answer is g = \\boxed{51}.",
"index": 163,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = u + 6; y = c + 13; u = d + 8; w = o + 13; d = 2; g = t + 1; p = i + 15; c = w + 4; v = f + 5; j = p + 13; t = y + 5; i = v + 5; o = d + 13. If d = 2, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"k": "x + 5", "q": "k + 6", "n": "q + 2", "t": "n + 7", "l": "t + 17", "a": "l + 16", "s": "x + 11", "b": "s + 9", "f": "b + 16", "u": "f + 6", "e": "u + 14", "w": "e + 9", "x": 11}, "premises": {"x": 11}, "target": "a"}, "answer": {"steps": [["l", "t + 17", "t + 33"], ["t", "n + 7", "n + 40"], ["n", "q + 2", "q + 42"], ["q", "k + 6", "k + 48"], ["k", "x + 5", "x + 53"], ["x", 11, "64"]], "target_var_name": "a", "target_value": 64, "value_dict": {"x": 11}, "is_reverse": true}}
| 164
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = f + 6; a = l + 16; k = x + 5; l = t + 17; e = u + 14; n = q + 2; x = 11; b = s + 9; q = k + 6; w = e + 9; f = b + 16; t = n + 7; s = x + 11. If x = 11, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 17 to a, which gives a = t + 33.\n2. Substitute t = n + 7 to a, which gives a = n + 40.\n3. Substitute n = q + 2 to a, which gives a = q + 42.\n4. Substitute q = k + 6 to a, which gives a = k + 48.\n5. Substitute k = x + 5 to a, which gives a = x + 53.\n6. Substitute x = 11 to a, which gives a = 64.\n\nThus, the final answer is a = \\boxed{64}.",
"index": 164,
"question": "Consider a system of variables where each variable is defined as follows: u = f + 6; a = l + 16; k = x + 5; l = t + 17; e = u + 14; n = q + 2; x = 11; b = s + 9; q = k + 6; w = e + 9; f = b + 16; t = n + 7; s = x + 11. If x = 11, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"s": "b + 17", "k": "s + 4", "u": "k + 18", "h": "u + 16", "e": "h + 17", "t": "e + 15", "x": "b + 7", "i": "x + 7", "n": "i + 16", "v": "n + 13", "w": "v + 11", "d": "w + 9", "b": 17}, "premises": {"b": 17}, "target": "t"}, "answer": {"steps": [["e", "h + 17", "h + 32"], ["h", "u + 16", "u + 48"], ["u", "k + 18", "k + 66"], ["k", "s + 4", "s + 70"], ["s", "b + 17", "b + 87"], ["b", 17, "104"]], "target_var_name": "t", "target_value": 104, "value_dict": {"b": 17}, "is_reverse": true}}
| 165
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = i + 16; b = 17; k = s + 4; x = b + 7; e = h + 17; h = u + 16; v = n + 13; i = x + 7; w = v + 11; d = w + 9; u = k + 18; t = e + 15; s = b + 17. Given that b = 17, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 17 to t, which gives t = h + 32.\n2. Substitute h = u + 16 to t, which gives t = u + 48.\n3. Substitute u = k + 18 to t, which gives t = k + 66.\n4. Substitute k = s + 4 to t, which gives t = s + 70.\n5. Substitute s = b + 17 to t, which gives t = b + 87.\n6. Substitute b = 17 to t, which gives t = 104.\n\nThus, the final answer is t = \\boxed{104}.",
"index": 165,
"question": "Suppose a collection of variables is related by the following definitions: n = i + 16; b = 17; k = s + 4; x = b + 7; e = h + 17; h = u + 16; v = n + 13; i = x + 7; w = v + 11; d = w + 9; u = k + 18; t = e + 15; s = b + 17. Given that b = 17, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"l": "a + 17", "f": "l + 19", "y": "f + 5", "o": "y + 9", "v": "o + 9", "u": "v + 18", "i": "a + 19", "p": "i + 12", "g": "p + 14", "k": "g + 17", "e": "k + 11", "c": "e + 19", "a": 20}, "premises": {"a": 20}, "target": "u"}, "answer": {"steps": [["v", "o + 9", "o + 27"], ["o", "y + 9", "y + 36"], ["y", "f + 5", "f + 41"], ["f", "l + 19", "l + 60"], ["l", "a + 17", "a + 77"], ["a", 20, "97"]], "target_var_name": "u", "target_value": 97, "value_dict": {"a": 20}, "is_reverse": true}}
| 166
| 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 = l + 19; g = p + 14; i = a + 19; k = g + 17; e = k + 11; o = y + 9; y = f + 5; u = v + 18; v = o + 9; p = i + 12; c = e + 19; a = 20; l = a + 17. If a = 20, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 9 to u, which gives u = o + 27.\n2. Substitute o = y + 9 to u, which gives u = y + 36.\n3. Substitute y = f + 5 to u, which gives u = f + 41.\n4. Substitute f = l + 19 to u, which gives u = l + 60.\n5. Substitute l = a + 17 to u, which gives u = a + 77.\n6. Substitute a = 20 to u, which gives u = 97.\n\nThus, the final answer is u = \\boxed{97}.",
"index": 166,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 19; g = p + 14; i = a + 19; k = g + 17; e = k + 11; o = y + 9; y = f + 5; u = v + 18; v = o + 9; p = i + 12; c = e + 19; a = 20; l = a + 17. If a = 20, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"a": "i + 19", "b": "a + 6", "f": "b + 5", "l": "f + 8", "d": "l + 14", "c": "d + 6", "r": "i + 16", "g": "r + 3", "n": "g + 14", "k": "n + 13", "t": "k + 10", "p": "t + 1", "i": 7}, "premises": {"i": 7}, "target": "c"}, "answer": {"steps": [["d", "l + 14", "l + 20"], ["l", "f + 8", "f + 28"], ["f", "b + 5", "b + 33"], ["b", "a + 6", "a + 39"], ["a", "i + 19", "i + 58"], ["i", 7, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"i": 7}, "is_reverse": true}}
| 167
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = i + 16; d = l + 14; a = i + 19; i = 7; t = k + 10; n = g + 14; g = r + 3; k = n + 13; l = f + 8; f = b + 5; p = t + 1; b = a + 6; c = d + 6. Given that i = 7, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 14 to c, which gives c = l + 20.\n2. Substitute l = f + 8 to c, which gives c = f + 28.\n3. Substitute f = b + 5 to c, which gives c = b + 33.\n4. Substitute b = a + 6 to c, which gives c = a + 39.\n5. Substitute a = i + 19 to c, which gives c = i + 58.\n6. Substitute i = 7 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 167,
"question": "Suppose a collection of variables is related by the following definitions: r = i + 16; d = l + 14; a = i + 19; i = 7; t = k + 10; n = g + 14; g = r + 3; k = n + 13; l = f + 8; f = b + 5; p = t + 1; b = a + 6; c = d + 6. Given that i = 7, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"l": "c + 1", "x": "l + 16", "a": "x + 11", "f": "a + 13", "d": "f + 1", "s": "d + 14", "h": "c + 13", "k": "h + 18", "o": "k + 14", "g": "o + 5", "m": "g + 2", "p": "m + 3", "c": 2}, "premises": {"c": 2}, "target": "s"}, "answer": {"steps": [["d", "f + 1", "f + 15"], ["f", "a + 13", "a + 28"], ["a", "x + 11", "x + 39"], ["x", "l + 16", "l + 55"], ["l", "c + 1", "c + 56"], ["c", 2, "58"]], "target_var_name": "s", "target_value": 58, "value_dict": {"c": 2}, "is_reverse": true}}
| 168
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = d + 14; k = h + 18; x = l + 16; a = x + 11; g = o + 5; h = c + 13; p = m + 3; m = g + 2; d = f + 1; o = k + 14; f = a + 13; c = 2; l = c + 1. Given that c = 2, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 1 to s, which gives s = f + 15.\n2. Substitute f = a + 13 to s, which gives s = a + 28.\n3. Substitute a = x + 11 to s, which gives s = x + 39.\n4. Substitute x = l + 16 to s, which gives s = l + 55.\n5. Substitute l = c + 1 to s, which gives s = c + 56.\n6. Substitute c = 2 to s, which gives s = 58.\n\nThus, the final answer is s = \\boxed{58}.",
"index": 168,
"question": "Suppose a collection of variables is related by the following definitions: s = d + 14; k = h + 18; x = l + 16; a = x + 11; g = o + 5; h = c + 13; p = m + 3; m = g + 2; d = f + 1; o = k + 14; f = a + 13; c = 2; l = c + 1. Given that c = 2, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 10", "x": "z + 15", "m": "x + 18", "g": "m + 9", "q": "g + 1", "j": "q + 9", "a": "o + 9", "v": "a + 4", "t": "v + 7", "u": "t + 5", "h": "u + 6", "n": "h + 12", "o": 15}, "premises": {"o": 15}, "target": "j"}, "answer": {"steps": [["q", "g + 1", "g + 10"], ["g", "m + 9", "m + 19"], ["m", "x + 18", "x + 37"], ["x", "z + 15", "z + 52"], ["z", "o + 10", "o + 62"], ["o", 15, "77"]], "target_var_name": "j", "target_value": 77, "value_dict": {"o": 15}, "is_reverse": true}}
| 169
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = z + 15; g = m + 9; m = x + 18; h = u + 6; z = o + 10; v = a + 4; a = o + 9; u = t + 5; q = g + 1; n = h + 12; j = q + 9; t = v + 7; o = 15. If o = 15, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 1 to j, which gives j = g + 10.\n2. Substitute g = m + 9 to j, which gives j = m + 19.\n3. Substitute m = x + 18 to j, which gives j = x + 37.\n4. Substitute x = z + 15 to j, which gives j = z + 52.\n5. Substitute z = o + 10 to j, which gives j = o + 62.\n6. Substitute o = 15 to j, which gives j = 77.\n\nThus, the final answer is j = \\boxed{77}.",
"index": 169,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = z + 15; g = m + 9; m = x + 18; h = u + 6; z = o + 10; v = a + 4; a = o + 9; u = t + 5; q = g + 1; n = h + 12; j = q + 9; t = v + 7; o = 15. If o = 15, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"u": "m + 19", "x": "u + 1", "f": "x + 16", "c": "f + 11", "p": "c + 12", "z": "p + 19", "v": "m + 20", "w": "v + 17", "k": "w + 18", "a": "k + 8", "e": "a + 9", "r": "e + 4", "m": 16}, "premises": {"m": 16}, "target": "z"}, "answer": {"steps": [["p", "c + 12", "c + 31"], ["c", "f + 11", "f + 42"], ["f", "x + 16", "x + 58"], ["x", "u + 1", "u + 59"], ["u", "m + 19", "m + 78"], ["m", 16, "94"]], "target_var_name": "z", "target_value": 94, "value_dict": {"m": 16}, "is_reverse": true}}
| 170
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = e + 4; u = m + 19; z = p + 19; f = x + 16; e = a + 9; w = v + 17; a = k + 8; p = c + 12; c = f + 11; m = 16; v = m + 20; x = u + 1; k = w + 18. Given that m = 16, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 12 to z, which gives z = c + 31.\n2. Substitute c = f + 11 to z, which gives z = f + 42.\n3. Substitute f = x + 16 to z, which gives z = x + 58.\n4. Substitute x = u + 1 to z, which gives z = u + 59.\n5. Substitute u = m + 19 to z, which gives z = m + 78.\n6. Substitute m = 16 to z, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 170,
"question": "Suppose a collection of variables is related by the following definitions: r = e + 4; u = m + 19; z = p + 19; f = x + 16; e = a + 9; w = v + 17; a = k + 8; p = c + 12; c = f + 11; m = 16; v = m + 20; x = u + 1; k = w + 18. Given that m = 16, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 19", "i": "y + 9", "e": "i + 20", "n": "e + 5", "j": "n + 14", "z": "j + 15", "k": "l + 6", "w": "k + 6", "p": "w + 6", "a": "p + 17", "f": "a + 18", "o": "f + 8", "l": 15}, "premises": {"l": 15}, "target": "z"}, "answer": {"steps": [["j", "n + 14", "n + 29"], ["n", "e + 5", "e + 34"], ["e", "i + 20", "i + 54"], ["i", "y + 9", "y + 63"], ["y", "l + 19", "l + 82"], ["l", 15, "97"]], "target_var_name": "z", "target_value": 97, "value_dict": {"l": 15}, "is_reverse": true}}
| 171
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 17; k = l + 6; i = y + 9; z = j + 15; w = k + 6; f = a + 18; p = w + 6; o = f + 8; y = l + 19; e = i + 20; j = n + 14; n = e + 5; l = 15. Given that l = 15, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 14 to z, which gives z = n + 29.\n2. Substitute n = e + 5 to z, which gives z = e + 34.\n3. Substitute e = i + 20 to z, which gives z = i + 54.\n4. Substitute i = y + 9 to z, which gives z = y + 63.\n5. Substitute y = l + 19 to z, which gives z = l + 82.\n6. Substitute l = 15 to z, which gives z = 97.\n\nThus, the final answer is z = \\boxed{97}.",
"index": 171,
"question": "Suppose a collection of variables is related by the following definitions: a = p + 17; k = l + 6; i = y + 9; z = j + 15; w = k + 6; f = a + 18; p = w + 6; o = f + 8; y = l + 19; e = i + 20; j = n + 14; n = e + 5; l = 15. Given that l = 15, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"c": "i + 13", "j": "c + 5", "w": "j + 4", "f": "w + 12", "k": "f + 3", "g": "k + 5", "e": "i + 6", "m": "e + 10", "z": "m + 15", "p": "z + 10", "q": "p + 9", "d": "q + 8", "i": 8}, "premises": {"i": 8}, "target": "g"}, "answer": {"steps": [["k", "f + 3", "f + 8"], ["f", "w + 12", "w + 20"], ["w", "j + 4", "j + 24"], ["j", "c + 5", "c + 29"], ["c", "i + 13", "i + 42"], ["i", 8, "50"]], "target_var_name": "g", "target_value": 50, "value_dict": {"i": 8}, "is_reverse": true}}
| 172
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = c + 5; i = 8; q = p + 9; e = i + 6; w = j + 4; z = m + 15; g = k + 5; p = z + 10; f = w + 12; c = i + 13; m = e + 10; d = q + 8; k = f + 3. Given that i = 8, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 3 to g, which gives g = f + 8.\n2. Substitute f = w + 12 to g, which gives g = w + 20.\n3. Substitute w = j + 4 to g, which gives g = j + 24.\n4. Substitute j = c + 5 to g, which gives g = c + 29.\n5. Substitute c = i + 13 to g, which gives g = i + 42.\n6. Substitute i = 8 to g, which gives g = 50.\n\nThus, the final answer is g = \\boxed{50}.",
"index": 172,
"question": "Suppose a collection of variables is related by the following definitions: j = c + 5; i = 8; q = p + 9; e = i + 6; w = j + 4; z = m + 15; g = k + 5; p = z + 10; f = w + 12; c = i + 13; m = e + 10; d = q + 8; k = f + 3. Given that i = 8, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"p": "q + 20", "m": "p + 19", "i": "m + 14", "y": "i + 12", "g": "y + 16", "h": "g + 12", "d": "q + 1", "v": "d + 2", "x": "v + 8", "o": "x + 1", "z": "o + 9", "j": "z + 2", "q": 12}, "premises": {"q": 12}, "target": "h"}, "answer": {"steps": [["g", "y + 16", "y + 28"], ["y", "i + 12", "i + 40"], ["i", "m + 14", "m + 54"], ["m", "p + 19", "p + 73"], ["p", "q + 20", "q + 93"], ["q", 12, "105"]], "target_var_name": "h", "target_value": 105, "value_dict": {"q": 12}, "is_reverse": true}}
| 173
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = o + 9; p = q + 20; o = x + 1; h = g + 12; g = y + 16; y = i + 12; d = q + 1; q = 12; x = v + 8; v = d + 2; i = m + 14; m = p + 19; j = z + 2. If q = 12, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 16 to h, which gives h = y + 28.\n2. Substitute y = i + 12 to h, which gives h = i + 40.\n3. Substitute i = m + 14 to h, which gives h = m + 54.\n4. Substitute m = p + 19 to h, which gives h = p + 73.\n5. Substitute p = q + 20 to h, which gives h = q + 93.\n6. Substitute q = 12 to h, which gives h = 105.\n\nThus, the final answer is h = \\boxed{105}.",
"index": 173,
"question": "Consider a system of variables where each variable is defined as follows: z = o + 9; p = q + 20; o = x + 1; h = g + 12; g = y + 16; y = i + 12; d = q + 1; q = 12; x = v + 8; v = d + 2; i = m + 14; m = p + 19; j = z + 2. If q = 12, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"u": "a + 11", "t": "u + 20", "v": "t + 4", "p": "v + 8", "s": "p + 13", "m": "s + 1", "q": "a + 7", "g": "q + 7", "x": "g + 19", "k": "x + 5", "c": "k + 19", "z": "c + 18", "a": 12}, "premises": {"a": 12}, "target": "m"}, "answer": {"steps": [["s", "p + 13", "p + 14"], ["p", "v + 8", "v + 22"], ["v", "t + 4", "t + 26"], ["t", "u + 20", "u + 46"], ["u", "a + 11", "a + 57"], ["a", 12, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"a": 12}, "is_reverse": true}}
| 174
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = v + 8; a = 12; u = a + 11; c = k + 19; m = s + 1; v = t + 4; q = a + 7; s = p + 13; k = x + 5; z = c + 18; x = g + 19; g = q + 7; t = u + 20. Given that a = 12, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 13 to m, which gives m = p + 14.\n2. Substitute p = v + 8 to m, which gives m = v + 22.\n3. Substitute v = t + 4 to m, which gives m = t + 26.\n4. Substitute t = u + 20 to m, which gives m = u + 46.\n5. Substitute u = a + 11 to m, which gives m = a + 57.\n6. Substitute a = 12 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 174,
"question": "Suppose a collection of variables is related by the following definitions: p = v + 8; a = 12; u = a + 11; c = k + 19; m = s + 1; v = t + 4; q = a + 7; s = p + 13; k = x + 5; z = c + 18; x = g + 19; g = q + 7; t = u + 20. Given that a = 12, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"n": "e + 3", "l": "n + 19", "d": "l + 11", "y": "d + 16", "v": "y + 2", "p": "v + 18", "t": "e + 2", "b": "t + 8", "x": "b + 18", "z": "x + 12", "u": "z + 20", "w": "u + 17", "e": 4}, "premises": {"e": 4}, "target": "p"}, "answer": {"steps": [["v", "y + 2", "y + 20"], ["y", "d + 16", "d + 36"], ["d", "l + 11", "l + 47"], ["l", "n + 19", "n + 66"], ["n", "e + 3", "e + 69"], ["e", 4, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"e": 4}, "is_reverse": true}}
| 175
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = d + 16; z = x + 12; x = b + 18; l = n + 19; w = u + 17; n = e + 3; b = t + 8; u = z + 20; p = v + 18; t = e + 2; d = l + 11; v = y + 2; e = 4. If e = 4, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 2 to p, which gives p = y + 20.\n2. Substitute y = d + 16 to p, which gives p = d + 36.\n3. Substitute d = l + 11 to p, which gives p = l + 47.\n4. Substitute l = n + 19 to p, which gives p = n + 66.\n5. Substitute n = e + 3 to p, which gives p = e + 69.\n6. Substitute e = 4 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 175,
"question": "Consider a system of variables where each variable is defined as follows: y = d + 16; z = x + 12; x = b + 18; l = n + 19; w = u + 17; n = e + 3; b = t + 8; u = z + 20; p = v + 18; t = e + 2; d = l + 11; v = y + 2; e = 4. If e = 4, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"q": "a + 3", "y": "q + 17", "o": "y + 17", "g": "o + 3", "i": "g + 1", "v": "i + 18", "e": "a + 18", "x": "e + 9", "b": "x + 13", "n": "b + 3", "h": "n + 7", "d": "h + 20", "a": 1}, "premises": {"a": 1}, "target": "v"}, "answer": {"steps": [["i", "g + 1", "g + 19"], ["g", "o + 3", "o + 22"], ["o", "y + 17", "y + 39"], ["y", "q + 17", "q + 56"], ["q", "a + 3", "a + 59"], ["a", 1, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"a": 1}, "is_reverse": true}}
| 176
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = y + 17; i = g + 1; e = a + 18; g = o + 3; n = b + 3; v = i + 18; y = q + 17; x = e + 9; h = n + 7; a = 1; d = h + 20; q = a + 3; b = x + 13. Given that a = 1, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 1 to v, which gives v = g + 19.\n2. Substitute g = o + 3 to v, which gives v = o + 22.\n3. Substitute o = y + 17 to v, which gives v = y + 39.\n4. Substitute y = q + 17 to v, which gives v = q + 56.\n5. Substitute q = a + 3 to v, which gives v = a + 59.\n6. Substitute a = 1 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 176,
"question": "Suppose a collection of variables is related by the following definitions: o = y + 17; i = g + 1; e = a + 18; g = o + 3; n = b + 3; v = i + 18; y = q + 17; x = e + 9; h = n + 7; a = 1; d = h + 20; q = a + 3; b = x + 13. Given that a = 1, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 6", "u": "p + 15", "q": "u + 3", "s": "q + 5", "z": "s + 9", "x": "z + 20", "t": "k + 5", "n": "t + 14", "h": "n + 8", "v": "h + 9", "d": "v + 12", "l": "d + 15", "k": 2}, "premises": {"k": 2}, "target": "x"}, "answer": {"steps": [["z", "s + 9", "s + 29"], ["s", "q + 5", "q + 34"], ["q", "u + 3", "u + 37"], ["u", "p + 15", "p + 52"], ["p", "k + 6", "k + 58"], ["k", 2, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"k": 2}, "is_reverse": true}}
| 177
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = v + 12; u = p + 15; x = z + 20; n = t + 14; l = d + 15; p = k + 6; s = q + 5; z = s + 9; q = u + 3; h = n + 8; t = k + 5; v = h + 9; k = 2. Given that k = 2, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 9 to x, which gives x = s + 29.\n2. Substitute s = q + 5 to x, which gives x = q + 34.\n3. Substitute q = u + 3 to x, which gives x = u + 37.\n4. Substitute u = p + 15 to x, which gives x = p + 52.\n5. Substitute p = k + 6 to x, which gives x = k + 58.\n6. Substitute k = 2 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 177,
"question": "Suppose a collection of variables is related by the following definitions: d = v + 12; u = p + 15; x = z + 20; n = t + 14; l = d + 15; p = k + 6; s = q + 5; z = s + 9; q = u + 3; h = n + 8; t = k + 5; v = h + 9; k = 2. Given that k = 2, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"b": "o + 17", "d": "b + 15", "z": "d + 14", "f": "z + 7", "q": "f + 8", "w": "q + 9", "m": "o + 10", "r": "m + 3", "k": "r + 19", "c": "k + 4", "p": "c + 7", "e": "p + 4", "o": 8}, "premises": {"o": 8}, "target": "w"}, "answer": {"steps": [["q", "f + 8", "f + 17"], ["f", "z + 7", "z + 24"], ["z", "d + 14", "d + 38"], ["d", "b + 15", "b + 53"], ["b", "o + 17", "o + 70"], ["o", 8, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"o": 8}, "is_reverse": true}}
| 178
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = c + 7; e = p + 4; o = 8; k = r + 19; d = b + 15; r = m + 3; w = q + 9; q = f + 8; f = z + 7; c = k + 4; m = o + 10; z = d + 14; b = o + 17. If o = 8, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 8 to w, which gives w = f + 17.\n2. Substitute f = z + 7 to w, which gives w = z + 24.\n3. Substitute z = d + 14 to w, which gives w = d + 38.\n4. Substitute d = b + 15 to w, which gives w = b + 53.\n5. Substitute b = o + 17 to w, which gives w = o + 70.\n6. Substitute o = 8 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 178,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = c + 7; e = p + 4; o = 8; k = r + 19; d = b + 15; r = m + 3; w = q + 9; q = f + 8; f = z + 7; c = k + 4; m = o + 10; z = d + 14; b = o + 17. If o = 8, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"l": "g + 13", "c": "l + 1", "k": "c + 6", "h": "k + 18", "e": "h + 13", "d": "e + 3", "n": "g + 14", "r": "n + 5", "o": "r + 18", "j": "o + 10", "x": "j + 4", "s": "x + 19", "g": 12}, "premises": {"g": 12}, "target": "d"}, "answer": {"steps": [["e", "h + 13", "h + 16"], ["h", "k + 18", "k + 34"], ["k", "c + 6", "c + 40"], ["c", "l + 1", "l + 41"], ["l", "g + 13", "g + 54"], ["g", 12, "66"]], "target_var_name": "d", "target_value": 66, "value_dict": {"g": 12}, "is_reverse": true}}
| 179
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = g + 13; d = e + 3; g = 12; x = j + 4; e = h + 13; c = l + 1; r = n + 5; h = k + 18; n = g + 14; j = o + 10; k = c + 6; o = r + 18; s = x + 19. Given that g = 12, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 13 to d, which gives d = h + 16.\n2. Substitute h = k + 18 to d, which gives d = k + 34.\n3. Substitute k = c + 6 to d, which gives d = c + 40.\n4. Substitute c = l + 1 to d, which gives d = l + 41.\n5. Substitute l = g + 13 to d, which gives d = g + 54.\n6. Substitute g = 12 to d, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 179,
"question": "Suppose a collection of variables is related by the following definitions: l = g + 13; d = e + 3; g = 12; x = j + 4; e = h + 13; c = l + 1; r = n + 5; h = k + 18; n = g + 14; j = o + 10; k = c + 6; o = r + 18; s = x + 19. Given that g = 12, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"h": "q + 19", "x": "h + 16", "a": "x + 7", "t": "a + 18", "j": "t + 4", "u": "j + 16", "r": "q + 10", "w": "r + 18", "z": "w + 11", "o": "z + 2", "k": "o + 12", "g": "k + 2", "q": 17}, "premises": {"q": 17}, "target": "u"}, "answer": {"steps": [["j", "t + 4", "t + 20"], ["t", "a + 18", "a + 38"], ["a", "x + 7", "x + 45"], ["x", "h + 16", "h + 61"], ["h", "q + 19", "q + 80"], ["q", 17, "97"]], "target_var_name": "u", "target_value": 97, "value_dict": {"q": 17}, "is_reverse": true}}
| 180
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 11; t = a + 18; u = j + 16; w = r + 18; o = z + 2; x = h + 16; q = 17; k = o + 12; g = k + 2; j = t + 4; r = q + 10; h = q + 19; a = x + 7. Given that q = 17, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 4 to u, which gives u = t + 20.\n2. Substitute t = a + 18 to u, which gives u = a + 38.\n3. Substitute a = x + 7 to u, which gives u = x + 45.\n4. Substitute x = h + 16 to u, which gives u = h + 61.\n5. Substitute h = q + 19 to u, which gives u = q + 80.\n6. Substitute q = 17 to u, which gives u = 97.\n\nThus, the final answer is u = \\boxed{97}.",
"index": 180,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 11; t = a + 18; u = j + 16; w = r + 18; o = z + 2; x = h + 16; q = 17; k = o + 12; g = k + 2; j = t + 4; r = q + 10; h = q + 19; a = x + 7. Given that q = 17, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"u": "t + 1", "x": "u + 9", "d": "x + 1", "j": "d + 17", "h": "j + 11", "f": "h + 20", "z": "t + 3", "p": "z + 4", "l": "p + 3", "a": "l + 13", "c": "a + 7", "e": "c + 13", "t": 15}, "premises": {"t": 15}, "target": "f"}, "answer": {"steps": [["h", "j + 11", "j + 31"], ["j", "d + 17", "d + 48"], ["d", "x + 1", "x + 49"], ["x", "u + 9", "u + 58"], ["u", "t + 1", "t + 59"], ["t", 15, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"t": 15}, "is_reverse": true}}
| 181
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = t + 3; h = j + 11; x = u + 9; l = p + 3; t = 15; p = z + 4; a = l + 13; e = c + 13; u = t + 1; j = d + 17; f = h + 20; d = x + 1; c = a + 7. If t = 15, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 11 to f, which gives f = j + 31.\n2. Substitute j = d + 17 to f, which gives f = d + 48.\n3. Substitute d = x + 1 to f, which gives f = x + 49.\n4. Substitute x = u + 9 to f, which gives f = u + 58.\n5. Substitute u = t + 1 to f, which gives f = t + 59.\n6. Substitute t = 15 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 181,
"question": "Consider a system of variables where each variable is defined as follows: z = t + 3; h = j + 11; x = u + 9; l = p + 3; t = 15; p = z + 4; a = l + 13; e = c + 13; u = t + 1; j = d + 17; f = h + 20; d = x + 1; c = a + 7. If t = 15, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"n": "o + 18", "c": "n + 9", "v": "c + 4", "g": "v + 16", "r": "g + 1", "d": "r + 3", "a": "o + 7", "l": "a + 19", "f": "l + 5", "h": "f + 7", "e": "h + 5", "t": "e + 9", "o": 9}, "premises": {"o": 9}, "target": "d"}, "answer": {"steps": [["r", "g + 1", "g + 4"], ["g", "v + 16", "v + 20"], ["v", "c + 4", "c + 24"], ["c", "n + 9", "n + 33"], ["n", "o + 18", "o + 51"], ["o", 9, "60"]], "target_var_name": "d", "target_value": 60, "value_dict": {"o": 9}, "is_reverse": true}}
| 182
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 18; v = c + 4; d = r + 3; f = l + 5; r = g + 1; t = e + 9; e = h + 5; a = o + 7; c = n + 9; g = v + 16; l = a + 19; h = f + 7; o = 9. If o = 9, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 1 to d, which gives d = g + 4.\n2. Substitute g = v + 16 to d, which gives d = v + 20.\n3. Substitute v = c + 4 to d, which gives d = c + 24.\n4. Substitute c = n + 9 to d, which gives d = n + 33.\n5. Substitute n = o + 18 to d, which gives d = o + 51.\n6. Substitute o = 9 to d, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 182,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 18; v = c + 4; d = r + 3; f = l + 5; r = g + 1; t = e + 9; e = h + 5; a = o + 7; c = n + 9; g = v + 16; l = a + 19; h = f + 7; o = 9. If o = 9, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 9", "t": "f + 15", "i": "t + 20", "a": "i + 12", "e": "a + 9", "l": "e + 5", "y": "q + 8", "p": "y + 10", "g": "p + 2", "o": "g + 15", "d": "o + 20", "z": "d + 11", "q": 3}, "premises": {"q": 3}, "target": "l"}, "answer": {"steps": [["e", "a + 9", "a + 14"], ["a", "i + 12", "i + 26"], ["i", "t + 20", "t + 46"], ["t", "f + 15", "f + 61"], ["f", "q + 9", "q + 70"], ["q", 3, "73"]], "target_var_name": "l", "target_value": 73, "value_dict": {"q": 3}, "is_reverse": true}}
| 183
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = e + 5; d = o + 20; t = f + 15; f = q + 9; z = d + 11; p = y + 10; a = i + 12; i = t + 20; q = 3; o = g + 15; g = p + 2; y = q + 8; e = a + 9. If q = 3, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 9 to l, which gives l = a + 14.\n2. Substitute a = i + 12 to l, which gives l = i + 26.\n3. Substitute i = t + 20 to l, which gives l = t + 46.\n4. Substitute t = f + 15 to l, which gives l = f + 61.\n5. Substitute f = q + 9 to l, which gives l = q + 70.\n6. Substitute q = 3 to l, which gives l = 73.\n\nThus, the final answer is l = \\boxed{73}.",
"index": 183,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = e + 5; d = o + 20; t = f + 15; f = q + 9; z = d + 11; p = y + 10; a = i + 12; i = t + 20; q = 3; o = g + 15; g = p + 2; y = q + 8; e = a + 9. If q = 3, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"r": "c + 6", "n": "r + 6", "z": "n + 17", "u": "z + 9", "f": "u + 4", "k": "f + 15", "o": "c + 8", "t": "o + 15", "w": "t + 19", "h": "w + 20", "p": "h + 18", "m": "p + 10", "c": 13}, "premises": {"c": 13}, "target": "k"}, "answer": {"steps": [["f", "u + 4", "u + 19"], ["u", "z + 9", "z + 28"], ["z", "n + 17", "n + 45"], ["n", "r + 6", "r + 51"], ["r", "c + 6", "c + 57"], ["c", 13, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"c": 13}, "is_reverse": true}}
| 184
| 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 = c + 6; k = f + 15; z = n + 17; n = r + 6; o = c + 8; f = u + 4; w = t + 19; m = p + 10; h = w + 20; t = o + 15; p = h + 18; c = 13; u = z + 9. If c = 13, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 4 to k, which gives k = u + 19.\n2. Substitute u = z + 9 to k, which gives k = z + 28.\n3. Substitute z = n + 17 to k, which gives k = n + 45.\n4. Substitute n = r + 6 to k, which gives k = r + 51.\n5. Substitute r = c + 6 to k, which gives k = c + 57.\n6. Substitute c = 13 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 184,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = c + 6; k = f + 15; z = n + 17; n = r + 6; o = c + 8; f = u + 4; w = t + 19; m = p + 10; h = w + 20; t = o + 15; p = h + 18; c = 13; u = z + 9. If c = 13, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"c": "h + 18", "v": "c + 5", "y": "v + 6", "m": "y + 11", "t": "m + 6", "j": "t + 10", "r": "h + 10", "x": "r + 7", "g": "x + 7", "o": "g + 6", "w": "o + 14", "d": "w + 2", "h": 4}, "premises": {"h": 4}, "target": "j"}, "answer": {"steps": [["t", "m + 6", "m + 16"], ["m", "y + 11", "y + 27"], ["y", "v + 6", "v + 33"], ["v", "c + 5", "c + 38"], ["c", "h + 18", "h + 56"], ["h", 4, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"h": 4}, "is_reverse": true}}
| 185
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = 4; j = t + 10; y = v + 6; m = y + 11; c = h + 18; r = h + 10; v = c + 5; g = x + 7; w = o + 14; t = m + 6; o = g + 6; x = r + 7; d = w + 2. Given that h = 4, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 6 to j, which gives j = m + 16.\n2. Substitute m = y + 11 to j, which gives j = y + 27.\n3. Substitute y = v + 6 to j, which gives j = v + 33.\n4. Substitute v = c + 5 to j, which gives j = c + 38.\n5. Substitute c = h + 18 to j, which gives j = h + 56.\n6. Substitute h = 4 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 185,
"question": "Suppose a collection of variables is related by the following definitions: h = 4; j = t + 10; y = v + 6; m = y + 11; c = h + 18; r = h + 10; v = c + 5; g = x + 7; w = o + 14; t = m + 6; o = g + 6; x = r + 7; d = w + 2. Given that h = 4, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"e": "v + 13", "a": "e + 4", "b": "a + 7", "y": "b + 20", "w": "y + 2", "c": "w + 7", "n": "v + 9", "t": "n + 1", "l": "t + 10", "p": "l + 12", "j": "p + 12", "g": "j + 1", "v": 8}, "premises": {"v": 8}, "target": "c"}, "answer": {"steps": [["w", "y + 2", "y + 9"], ["y", "b + 20", "b + 29"], ["b", "a + 7", "a + 36"], ["a", "e + 4", "e + 40"], ["e", "v + 13", "v + 53"], ["v", 8, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"v": 8}, "is_reverse": true}}
| 186
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = t + 10; t = n + 1; y = b + 20; g = j + 1; a = e + 4; n = v + 9; p = l + 12; e = v + 13; j = p + 12; v = 8; w = y + 2; c = w + 7; b = a + 7. Given that v = 8, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 2 to c, which gives c = y + 9.\n2. Substitute y = b + 20 to c, which gives c = b + 29.\n3. Substitute b = a + 7 to c, which gives c = a + 36.\n4. Substitute a = e + 4 to c, which gives c = e + 40.\n5. Substitute e = v + 13 to c, which gives c = v + 53.\n6. Substitute v = 8 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 186,
"question": "Suppose a collection of variables is related by the following definitions: l = t + 10; t = n + 1; y = b + 20; g = j + 1; a = e + 4; n = v + 9; p = l + 12; e = v + 13; j = p + 12; v = 8; w = y + 2; c = w + 7; b = a + 7. Given that v = 8, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"z": "a + 11", "r": "z + 19", "k": "r + 3", "t": "k + 5", "j": "t + 12", "w": "j + 4", "n": "a + 9", "l": "n + 17", "u": "l + 17", "y": "u + 18", "g": "y + 1", "i": "g + 20", "a": 1}, "premises": {"a": 1}, "target": "w"}, "answer": {"steps": [["j", "t + 12", "t + 16"], ["t", "k + 5", "k + 21"], ["k", "r + 3", "r + 24"], ["r", "z + 19", "z + 43"], ["z", "a + 11", "a + 54"], ["a", 1, "55"]], "target_var_name": "w", "target_value": 55, "value_dict": {"a": 1}, "is_reverse": true}}
| 187
| 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 = n + 17; z = a + 11; g = y + 1; i = g + 20; w = j + 4; n = a + 9; k = r + 3; a = 1; j = t + 12; y = u + 18; r = z + 19; t = k + 5; u = l + 17. If a = 1, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 12 to w, which gives w = t + 16.\n2. Substitute t = k + 5 to w, which gives w = k + 21.\n3. Substitute k = r + 3 to w, which gives w = r + 24.\n4. Substitute r = z + 19 to w, which gives w = z + 43.\n5. Substitute z = a + 11 to w, which gives w = a + 54.\n6. Substitute a = 1 to w, which gives w = 55.\n\nThus, the final answer is w = \\boxed{55}.",
"index": 187,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = n + 17; z = a + 11; g = y + 1; i = g + 20; w = j + 4; n = a + 9; k = r + 3; a = 1; j = t + 12; y = u + 18; r = z + 19; t = k + 5; u = l + 17. If a = 1, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"e": "a + 14", "p": "e + 8", "h": "p + 9", "w": "h + 12", "n": "w + 20", "b": "n + 10", "o": "a + 12", "g": "o + 16", "t": "g + 13", "x": "t + 9", "m": "x + 9", "v": "m + 4", "a": 20}, "premises": {"a": 20}, "target": "b"}, "answer": {"steps": [["n", "w + 20", "w + 30"], ["w", "h + 12", "h + 42"], ["h", "p + 9", "p + 51"], ["p", "e + 8", "e + 59"], ["e", "a + 14", "a + 73"], ["a", 20, "93"]], "target_var_name": "b", "target_value": 93, "value_dict": {"a": 20}, "is_reverse": true}}
| 188
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = w + 20; t = g + 13; x = t + 9; a = 20; g = o + 16; w = h + 12; h = p + 9; p = e + 8; o = a + 12; e = a + 14; v = m + 4; m = x + 9; b = n + 10. Given that a = 20, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 20 to b, which gives b = w + 30.\n2. Substitute w = h + 12 to b, which gives b = h + 42.\n3. Substitute h = p + 9 to b, which gives b = p + 51.\n4. Substitute p = e + 8 to b, which gives b = e + 59.\n5. Substitute e = a + 14 to b, which gives b = a + 73.\n6. Substitute a = 20 to b, which gives b = 93.\n\nThus, the final answer is b = \\boxed{93}.",
"index": 188,
"question": "Suppose a collection of variables is related by the following definitions: n = w + 20; t = g + 13; x = t + 9; a = 20; g = o + 16; w = h + 12; h = p + 9; p = e + 8; o = a + 12; e = a + 14; v = m + 4; m = x + 9; b = n + 10. Given that a = 20, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"i": "n + 13", "e": "i + 7", "r": "e + 6", "q": "r + 2", "a": "q + 2", "x": "a + 1", "g": "n + 3", "m": "g + 14", "c": "m + 1", "p": "c + 7", "w": "p + 7", "u": "w + 13", "n": 1}, "premises": {"n": 1}, "target": "x"}, "answer": {"steps": [["a", "q + 2", "q + 3"], ["q", "r + 2", "r + 5"], ["r", "e + 6", "e + 11"], ["e", "i + 7", "i + 18"], ["i", "n + 13", "n + 31"], ["n", 1, "32"]], "target_var_name": "x", "target_value": 32, "value_dict": {"n": 1}, "is_reverse": true}}
| 189
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = m + 1; m = g + 14; i = n + 13; x = a + 1; u = w + 13; g = n + 3; e = i + 7; n = 1; r = e + 6; a = q + 2; p = c + 7; q = r + 2; w = p + 7. If n = 1, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 32,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 2 to x, which gives x = q + 3.\n2. Substitute q = r + 2 to x, which gives x = r + 5.\n3. Substitute r = e + 6 to x, which gives x = e + 11.\n4. Substitute e = i + 7 to x, which gives x = i + 18.\n5. Substitute i = n + 13 to x, which gives x = n + 31.\n6. Substitute n = 1 to x, which gives x = 32.\n\nThus, the final answer is x = \\boxed{32}.",
"index": 189,
"question": "Consider a system of variables where each variable is defined as follows: c = m + 1; m = g + 14; i = n + 13; x = a + 1; u = w + 13; g = n + 3; e = i + 7; n = 1; r = e + 6; a = q + 2; p = c + 7; q = r + 2; w = p + 7. If n = 1, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"b": "p + 13", "d": "b + 19", "q": "d + 15", "r": "q + 8", "i": "r + 16", "a": "i + 20", "f": "p + 9", "j": "f + 2", "u": "j + 6", "s": "u + 8", "e": "s + 14", "c": "e + 9", "p": 20}, "premises": {"p": 20}, "target": "a"}, "answer": {"steps": [["i", "r + 16", "r + 36"], ["r", "q + 8", "q + 44"], ["q", "d + 15", "d + 59"], ["d", "b + 19", "b + 78"], ["b", "p + 13", "p + 91"], ["p", 20, "111"]], "target_var_name": "a", "target_value": 111, "value_dict": {"p": 20}, "is_reverse": true}}
| 190
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = s + 14; f = p + 9; b = p + 13; s = u + 8; p = 20; d = b + 19; j = f + 2; c = e + 9; q = d + 15; r = q + 8; a = i + 20; u = j + 6; i = r + 16. If p = 20, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 111,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 16 to a, which gives a = r + 36.\n2. Substitute r = q + 8 to a, which gives a = q + 44.\n3. Substitute q = d + 15 to a, which gives a = d + 59.\n4. Substitute d = b + 19 to a, which gives a = b + 78.\n5. Substitute b = p + 13 to a, which gives a = p + 91.\n6. Substitute p = 20 to a, which gives a = 111.\n\nThus, the final answer is a = \\boxed{111}.",
"index": 190,
"question": "Consider a system of variables where each variable is defined as follows: e = s + 14; f = p + 9; b = p + 13; s = u + 8; p = 20; d = b + 19; j = f + 2; c = e + 9; q = d + 15; r = q + 8; a = i + 20; u = j + 6; i = r + 16. If p = 20, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"r": "z + 11", "c": "r + 7", "x": "c + 11", "b": "x + 6", "n": "b + 9", "k": "n + 3", "m": "z + 13", "d": "m + 7", "a": "d + 14", "o": "a + 17", "u": "o + 5", "g": "u + 1", "z": 7}, "premises": {"z": 7}, "target": "k"}, "answer": {"steps": [["n", "b + 9", "b + 12"], ["b", "x + 6", "x + 18"], ["x", "c + 11", "c + 29"], ["c", "r + 7", "r + 36"], ["r", "z + 11", "z + 47"], ["z", 7, "54"]], "target_var_name": "k", "target_value": 54, "value_dict": {"z": 7}, "is_reverse": true}}
| 191
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = z + 13; n = b + 9; c = r + 7; a = d + 14; k = n + 3; r = z + 11; u = o + 5; o = a + 17; d = m + 7; g = u + 1; x = c + 11; z = 7; b = x + 6. Given that z = 7, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 9 to k, which gives k = b + 12.\n2. Substitute b = x + 6 to k, which gives k = x + 18.\n3. Substitute x = c + 11 to k, which gives k = c + 29.\n4. Substitute c = r + 7 to k, which gives k = r + 36.\n5. Substitute r = z + 11 to k, which gives k = z + 47.\n6. Substitute z = 7 to k, which gives k = 54.\n\nThus, the final answer is k = \\boxed{54}.",
"index": 191,
"question": "Suppose a collection of variables is related by the following definitions: m = z + 13; n = b + 9; c = r + 7; a = d + 14; k = n + 3; r = z + 11; u = o + 5; o = a + 17; d = m + 7; g = u + 1; x = c + 11; z = 7; b = x + 6. Given that z = 7, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"h": "l + 11", "q": "h + 5", "r": "q + 11", "n": "r + 5", "s": "n + 5", "i": "s + 5", "k": "l + 5", "g": "k + 3", "v": "g + 13", "m": "v + 10", "e": "m + 13", "j": "e + 8", "l": 19}, "premises": {"l": 19}, "target": "i"}, "answer": {"steps": [["s", "n + 5", "n + 10"], ["n", "r + 5", "r + 15"], ["r", "q + 11", "q + 26"], ["q", "h + 5", "h + 31"], ["h", "l + 11", "l + 42"], ["l", 19, "61"]], "target_var_name": "i", "target_value": 61, "value_dict": {"l": 19}, "is_reverse": true}}
| 192
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = h + 5; s = n + 5; m = v + 10; n = r + 5; v = g + 13; r = q + 11; l = 19; i = s + 5; g = k + 3; h = l + 11; e = m + 13; k = l + 5; j = e + 8. Given that l = 19, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = n + 5 to i, which gives i = n + 10.\n2. Substitute n = r + 5 to i, which gives i = r + 15.\n3. Substitute r = q + 11 to i, which gives i = q + 26.\n4. Substitute q = h + 5 to i, which gives i = h + 31.\n5. Substitute h = l + 11 to i, which gives i = l + 42.\n6. Substitute l = 19 to i, which gives i = 61.\n\nThus, the final answer is i = \\boxed{61}.",
"index": 192,
"question": "Suppose a collection of variables is related by the following definitions: q = h + 5; s = n + 5; m = v + 10; n = r + 5; v = g + 13; r = q + 11; l = 19; i = s + 5; g = k + 3; h = l + 11; e = m + 13; k = l + 5; j = e + 8. Given that l = 19, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"r": "b + 11", "y": "r + 5", "s": "y + 17", "g": "s + 9", "x": "g + 11", "e": "x + 5", "q": "b + 7", "f": "q + 8", "a": "f + 6", "m": "a + 7", "o": "m + 8", "h": "o + 15", "b": 20}, "premises": {"b": 20}, "target": "e"}, "answer": {"steps": [["x", "g + 11", "g + 16"], ["g", "s + 9", "s + 25"], ["s", "y + 17", "y + 42"], ["y", "r + 5", "r + 47"], ["r", "b + 11", "b + 58"], ["b", 20, "78"]], "target_var_name": "e", "target_value": 78, "value_dict": {"b": 20}, "is_reverse": true}}
| 193
| 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 = a + 7; e = x + 5; b = 20; f = q + 8; h = o + 15; x = g + 11; y = r + 5; a = f + 6; o = m + 8; s = y + 17; g = s + 9; q = b + 7; r = b + 11. If b = 20, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 11 to e, which gives e = g + 16.\n2. Substitute g = s + 9 to e, which gives e = s + 25.\n3. Substitute s = y + 17 to e, which gives e = y + 42.\n4. Substitute y = r + 5 to e, which gives e = r + 47.\n5. Substitute r = b + 11 to e, which gives e = b + 58.\n6. Substitute b = 20 to e, which gives e = 78.\n\nThus, the final answer is e = \\boxed{78}.",
"index": 193,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = a + 7; e = x + 5; b = 20; f = q + 8; h = o + 15; x = g + 11; y = r + 5; a = f + 6; o = m + 8; s = y + 17; g = s + 9; q = b + 7; r = b + 11. If b = 20, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"h": "n + 10", "p": "h + 6", "u": "p + 6", "b": "u + 13", "z": "b + 19", "w": "z + 20", "r": "n + 17", "s": "r + 13", "k": "s + 3", "i": "k + 20", "e": "i + 15", "x": "e + 16", "n": 16}, "premises": {"n": 16}, "target": "w"}, "answer": {"steps": [["z", "b + 19", "b + 39"], ["b", "u + 13", "u + 52"], ["u", "p + 6", "p + 58"], ["p", "h + 6", "h + 64"], ["h", "n + 10", "n + 74"], ["n", 16, "90"]], "target_var_name": "w", "target_value": 90, "value_dict": {"n": 16}, "is_reverse": true}}
| 194
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = r + 13; z = b + 19; e = i + 15; u = p + 6; r = n + 17; i = k + 20; h = n + 10; w = z + 20; b = u + 13; x = e + 16; p = h + 6; k = s + 3; n = 16. Given that n = 16, find the 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 z = b + 19 to w, which gives w = b + 39.\n2. Substitute b = u + 13 to w, which gives w = u + 52.\n3. Substitute u = p + 6 to w, which gives w = p + 58.\n4. Substitute p = h + 6 to w, which gives w = h + 64.\n5. Substitute h = n + 10 to w, which gives w = n + 74.\n6. Substitute n = 16 to w, which gives w = 90.\n\nThus, the final answer is w = \\boxed{90}.",
"index": 194,
"question": "Suppose a collection of variables is related by the following definitions: s = r + 13; z = b + 19; e = i + 15; u = p + 6; r = n + 17; i = k + 20; h = n + 10; w = z + 20; b = u + 13; x = e + 16; p = h + 6; k = s + 3; n = 16. Given that n = 16, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"t": "h + 11", "r": "t + 7", "i": "r + 17", "z": "i + 18", "x": "z + 8", "p": "x + 1", "g": "h + 1", "v": "g + 17", "u": "v + 8", "e": "u + 19", "b": "e + 17", "l": "b + 11", "h": 8}, "premises": {"h": 8}, "target": "p"}, "answer": {"steps": [["x", "z + 8", "z + 9"], ["z", "i + 18", "i + 27"], ["i", "r + 17", "r + 44"], ["r", "t + 7", "t + 51"], ["t", "h + 11", "h + 62"], ["h", 8, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"h": 8}, "is_reverse": true}}
| 195
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = r + 17; g = h + 1; p = x + 1; r = t + 7; x = z + 8; u = v + 8; t = h + 11; v = g + 17; h = 8; e = u + 19; b = e + 17; l = b + 11; z = i + 18. Given that h = 8, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 8 to p, which gives p = z + 9.\n2. Substitute z = i + 18 to p, which gives p = i + 27.\n3. Substitute i = r + 17 to p, which gives p = r + 44.\n4. Substitute r = t + 7 to p, which gives p = t + 51.\n5. Substitute t = h + 11 to p, which gives p = h + 62.\n6. Substitute h = 8 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 195,
"question": "Suppose a collection of variables is related by the following definitions: i = r + 17; g = h + 1; p = x + 1; r = t + 7; x = z + 8; u = v + 8; t = h + 11; v = g + 17; h = 8; e = u + 19; b = e + 17; l = b + 11; z = i + 18. Given that h = 8, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"g": "i + 17", "z": "g + 6", "d": "z + 19", "n": "d + 16", "h": "n + 16", "k": "h + 18", "r": "i + 5", "s": "r + 12", "t": "s + 3", "o": "t + 10", "l": "o + 19", "w": "l + 14", "i": 11}, "premises": {"i": 11}, "target": "k"}, "answer": {"steps": [["h", "n + 16", "n + 34"], ["n", "d + 16", "d + 50"], ["d", "z + 19", "z + 69"], ["z", "g + 6", "g + 75"], ["g", "i + 17", "i + 92"], ["i", 11, "103"]], "target_var_name": "k", "target_value": 103, "value_dict": {"i": 11}, "is_reverse": true}}
| 196
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = i + 17; k = h + 18; h = n + 16; i = 11; d = z + 19; t = s + 3; r = i + 5; l = o + 19; n = d + 16; o = t + 10; w = l + 14; s = r + 12; z = g + 6. If i = 11, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 16 to k, which gives k = n + 34.\n2. Substitute n = d + 16 to k, which gives k = d + 50.\n3. Substitute d = z + 19 to k, which gives k = z + 69.\n4. Substitute z = g + 6 to k, which gives k = g + 75.\n5. Substitute g = i + 17 to k, which gives k = i + 92.\n6. Substitute i = 11 to k, which gives k = 103.\n\nThus, the final answer is k = \\boxed{103}.",
"index": 196,
"question": "Consider a system of variables where each variable is defined as follows: g = i + 17; k = h + 18; h = n + 16; i = 11; d = z + 19; t = s + 3; r = i + 5; l = o + 19; n = d + 16; o = t + 10; w = l + 14; s = r + 12; z = g + 6. If i = 11, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"i": "n + 16", "m": "i + 5", "x": "m + 9", "h": "x + 2", "b": "h + 19", "s": "b + 13", "z": "n + 18", "y": "z + 8", "w": "y + 6", "j": "w + 19", "c": "j + 2", "f": "c + 2", "n": 1}, "premises": {"n": 1}, "target": "s"}, "answer": {"steps": [["b", "h + 19", "h + 32"], ["h", "x + 2", "x + 34"], ["x", "m + 9", "m + 43"], ["m", "i + 5", "i + 48"], ["i", "n + 16", "n + 64"], ["n", 1, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"n": 1}, "is_reverse": true}}
| 197
| 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 = h + 19; z = n + 18; i = n + 16; n = 1; s = b + 13; x = m + 9; m = i + 5; j = w + 19; c = j + 2; y = z + 8; f = c + 2; h = x + 2; w = y + 6. If n = 1, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 19 to s, which gives s = h + 32.\n2. Substitute h = x + 2 to s, which gives s = x + 34.\n3. Substitute x = m + 9 to s, which gives s = m + 43.\n4. Substitute m = i + 5 to s, which gives s = i + 48.\n5. Substitute i = n + 16 to s, which gives s = n + 64.\n6. Substitute n = 1 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 197,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = h + 19; z = n + 18; i = n + 16; n = 1; s = b + 13; x = m + 9; m = i + 5; j = w + 19; c = j + 2; y = z + 8; f = c + 2; h = x + 2; w = y + 6. If n = 1, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"s": "h + 15", "g": "s + 2", "p": "g + 14", "r": "p + 7", "z": "r + 3", "x": "z + 6", "u": "h + 16", "k": "u + 9", "v": "k + 16", "f": "v + 1", "d": "f + 15", "n": "d + 9", "h": 15}, "premises": {"h": 15}, "target": "x"}, "answer": {"steps": [["z", "r + 3", "r + 9"], ["r", "p + 7", "p + 16"], ["p", "g + 14", "g + 30"], ["g", "s + 2", "s + 32"], ["s", "h + 15", "h + 47"], ["h", 15, "62"]], "target_var_name": "x", "target_value": 62, "value_dict": {"h": 15}, "is_reverse": true}}
| 198
| 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 = z + 6; g = s + 2; z = r + 3; v = k + 16; k = u + 9; u = h + 16; h = 15; f = v + 1; n = d + 9; p = g + 14; d = f + 15; r = p + 7; s = h + 15. If h = 15, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 3 to x, which gives x = r + 9.\n2. Substitute r = p + 7 to x, which gives x = p + 16.\n3. Substitute p = g + 14 to x, which gives x = g + 30.\n4. Substitute g = s + 2 to x, which gives x = s + 32.\n5. Substitute s = h + 15 to x, which gives x = h + 47.\n6. Substitute h = 15 to x, which gives x = 62.\n\nThus, the final answer is x = \\boxed{62}.",
"index": 198,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = z + 6; g = s + 2; z = r + 3; v = k + 16; k = u + 9; u = h + 16; h = 15; f = v + 1; n = d + 9; p = g + 14; d = f + 15; r = p + 7; s = h + 15. If h = 15, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"a": "m + 19", "f": "a + 3", "h": "f + 10", "k": "h + 4", "y": "k + 19", "u": "y + 9", "r": "m + 2", "x": "r + 15", "o": "x + 19", "p": "o + 1", "i": "p + 20", "w": "i + 4", "m": 8}, "premises": {"m": 8}, "target": "u"}, "answer": {"steps": [["y", "k + 19", "k + 28"], ["k", "h + 4", "h + 32"], ["h", "f + 10", "f + 42"], ["f", "a + 3", "a + 45"], ["a", "m + 19", "m + 64"], ["m", 8, "72"]], "target_var_name": "u", "target_value": 72, "value_dict": {"m": 8}, "is_reverse": true}}
| 199
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = y + 9; f = a + 3; o = x + 19; y = k + 19; h = f + 10; w = i + 4; p = o + 1; m = 8; i = p + 20; a = m + 19; r = m + 2; k = h + 4; x = r + 15. If m = 8, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 19 to u, which gives u = k + 28.\n2. Substitute k = h + 4 to u, which gives u = h + 32.\n3. Substitute h = f + 10 to u, which gives u = f + 42.\n4. Substitute f = a + 3 to u, which gives u = a + 45.\n5. Substitute a = m + 19 to u, which gives u = m + 64.\n6. Substitute m = 8 to u, which gives u = 72.\n\nThus, the final answer is u = \\boxed{72}.",
"index": 199,
"question": "Consider a system of variables where each variable is defined as follows: u = y + 9; f = a + 3; o = x + 19; y = k + 19; h = f + 10; w = i + 4; p = o + 1; m = 8; i = p + 20; a = m + 19; r = m + 2; k = h + 4; x = r + 15. If m = 8, determine the value of u.",
"split": "train"
}
|
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