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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": {"e": "m + 7", "d": "e + 13", "a": "d + 12", "v": "a + 15", "t": "v + 18", "z": "t + 18", "b": "m + 6", "c": "b + 6", "y": "c + 5", "w": "y + 7", "r": "w + 1", "i": "r + 8", "m": 20}, "premises": {"m": 20}, "target": "z"}, "answer": {"steps": [["t", "v + 18", "v + 36"], ["v", "a + 15", "a + 51"], ["a", "d + 12", "d + 63"], ["d", "e + 13", "e + 76"], ["e", "m + 7", "m + 83"], ["m", 20, "103"]], "target_var_name": "z", "target_value": 103, "value_dict": {"m": 20}, "is_reverse": true}}
| 2,500
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = w + 1; y = c + 5; z = t + 18; w = y + 7; b = m + 6; d = e + 13; v = a + 15; t = v + 18; a = d + 12; m = 20; i = r + 8; c = b + 6; e = m + 7. If m = 20, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 18 to z, which gives z = v + 36.\n2. Substitute v = a + 15 to z, which gives z = a + 51.\n3. Substitute a = d + 12 to z, which gives z = d + 63.\n4. Substitute d = e + 13 to z, which gives z = e + 76.\n5. Substitute e = m + 7 to z, which gives z = m + 83.\n6. Substitute m = 20 to z, which gives z = 103.\n\nThus, the final answer is z = \\boxed{103}.",
"index": 2500,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = w + 1; y = c + 5; z = t + 18; w = y + 7; b = m + 6; d = e + 13; v = a + 15; t = v + 18; a = d + 12; m = 20; i = r + 8; c = b + 6; e = m + 7. If m = 20, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"p": "y + 17", "r": "p + 19", "x": "r + 18", "j": "x + 11", "i": "j + 19", "l": "i + 3", "o": "y + 1", "h": "o + 19", "z": "h + 12", "v": "z + 20", "f": "v + 16", "c": "f + 5", "y": 16}, "premises": {"y": 16}, "target": "l"}, "answer": {"steps": [["i", "j + 19", "j + 22"], ["j", "x + 11", "x + 33"], ["x", "r + 18", "r + 51"], ["r", "p + 19", "p + 70"], ["p", "y + 17", "y + 87"], ["y", 16, "103"]], "target_var_name": "l", "target_value": 103, "value_dict": {"y": 16}, "is_reverse": true}}
| 2,501
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = i + 3; p = y + 17; v = z + 20; o = y + 1; r = p + 19; y = 16; h = o + 19; f = v + 16; j = x + 11; i = j + 19; z = h + 12; c = f + 5; x = r + 18. Given that y = 16, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 19 to l, which gives l = j + 22.\n2. Substitute j = x + 11 to l, which gives l = x + 33.\n3. Substitute x = r + 18 to l, which gives l = r + 51.\n4. Substitute r = p + 19 to l, which gives l = p + 70.\n5. Substitute p = y + 17 to l, which gives l = y + 87.\n6. Substitute y = 16 to l, which gives l = 103.\n\nThus, the final answer is l = \\boxed{103}.",
"index": 2501,
"question": "Suppose a collection of variables is related by the following definitions: l = i + 3; p = y + 17; v = z + 20; o = y + 1; r = p + 19; y = 16; h = o + 19; f = v + 16; j = x + 11; i = j + 19; z = h + 12; c = f + 5; x = r + 18. Given that y = 16, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"b": "k + 9", "p": "b + 20", "v": "p + 16", "s": "v + 3", "l": "s + 6", "i": "l + 14", "a": "k + 15", "n": "a + 18", "r": "n + 7", "u": "r + 4", "y": "u + 19", "d": "y + 16", "k": 13}, "premises": {"k": 13}, "target": "i"}, "answer": {"steps": [["l", "s + 6", "s + 20"], ["s", "v + 3", "v + 23"], ["v", "p + 16", "p + 39"], ["p", "b + 20", "b + 59"], ["b", "k + 9", "k + 68"], ["k", 13, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"k": 13}, "is_reverse": true}}
| 2,502
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = u + 19; i = l + 14; u = r + 4; l = s + 6; k = 13; d = y + 16; v = p + 16; b = k + 9; r = n + 7; s = v + 3; p = b + 20; n = a + 18; a = k + 15. If k = 13, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 6 to i, which gives i = s + 20.\n2. Substitute s = v + 3 to i, which gives i = v + 23.\n3. Substitute v = p + 16 to i, which gives i = p + 39.\n4. Substitute p = b + 20 to i, which gives i = b + 59.\n5. Substitute b = k + 9 to i, which gives i = k + 68.\n6. Substitute k = 13 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 2502,
"question": "Consider a system of variables where each variable is defined as follows: y = u + 19; i = l + 14; u = r + 4; l = s + 6; k = 13; d = y + 16; v = p + 16; b = k + 9; r = n + 7; s = v + 3; p = b + 20; n = a + 18; a = k + 15. If k = 13, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"q": "t + 18", "u": "q + 12", "e": "u + 11", "w": "e + 20", "p": "w + 16", "g": "p + 13", "o": "t + 17", "n": "o + 13", "j": "n + 13", "m": "j + 3", "h": "m + 9", "f": "h + 15", "t": 19}, "premises": {"t": 19}, "target": "g"}, "answer": {"steps": [["p", "w + 16", "w + 29"], ["w", "e + 20", "e + 49"], ["e", "u + 11", "u + 60"], ["u", "q + 12", "q + 72"], ["q", "t + 18", "t + 90"], ["t", 19, "109"]], "target_var_name": "g", "target_value": 109, "value_dict": {"t": 19}, "is_reverse": true}}
| 2,503
| 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 = h + 15; w = e + 20; m = j + 3; p = w + 16; t = 19; n = o + 13; u = q + 12; j = n + 13; g = p + 13; o = t + 17; q = t + 18; h = m + 9; e = u + 11. If t = 19, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 109,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 16 to g, which gives g = w + 29.\n2. Substitute w = e + 20 to g, which gives g = e + 49.\n3. Substitute e = u + 11 to g, which gives g = u + 60.\n4. Substitute u = q + 12 to g, which gives g = q + 72.\n5. Substitute q = t + 18 to g, which gives g = t + 90.\n6. Substitute t = 19 to g, which gives g = 109.\n\nThus, the final answer is g = \\boxed{109}.",
"index": 2503,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 15; w = e + 20; m = j + 3; p = w + 16; t = 19; n = o + 13; u = q + 12; j = n + 13; g = p + 13; o = t + 17; q = t + 18; h = m + 9; e = u + 11. If t = 19, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"w": "c + 10", "g": "w + 18", "s": "g + 1", "n": "s + 13", "z": "n + 16", "d": "z + 10", "h": "c + 14", "m": "h + 4", "l": "m + 17", "r": "l + 10", "p": "r + 15", "u": "p + 4", "c": 16}, "premises": {"c": 16}, "target": "d"}, "answer": {"steps": [["z", "n + 16", "n + 26"], ["n", "s + 13", "s + 39"], ["s", "g + 1", "g + 40"], ["g", "w + 18", "w + 58"], ["w", "c + 10", "c + 68"], ["c", 16, "84"]], "target_var_name": "d", "target_value": 84, "value_dict": {"c": 16}, "is_reverse": true}}
| 2,504
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = 16; m = h + 4; l = m + 17; w = c + 10; g = w + 18; n = s + 13; h = c + 14; r = l + 10; u = p + 4; s = g + 1; z = n + 16; p = r + 15; d = z + 10. Given that c = 16, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 16 to d, which gives d = n + 26.\n2. Substitute n = s + 13 to d, which gives d = s + 39.\n3. Substitute s = g + 1 to d, which gives d = g + 40.\n4. Substitute g = w + 18 to d, which gives d = w + 58.\n5. Substitute w = c + 10 to d, which gives d = c + 68.\n6. Substitute c = 16 to d, which gives d = 84.\n\nThus, the final answer is d = \\boxed{84}.",
"index": 2504,
"question": "Suppose a collection of variables is related by the following definitions: c = 16; m = h + 4; l = m + 17; w = c + 10; g = w + 18; n = s + 13; h = c + 14; r = l + 10; u = p + 4; s = g + 1; z = n + 16; p = r + 15; d = z + 10. Given that c = 16, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"e": "w + 13", "v": "e + 7", "l": "v + 10", "b": "l + 11", "y": "b + 5", "q": "y + 13", "m": "w + 1", "n": "m + 12", "j": "n + 9", "h": "j + 9", "g": "h + 2", "f": "g + 9", "w": 1}, "premises": {"w": 1}, "target": "q"}, "answer": {"steps": [["y", "b + 5", "b + 18"], ["b", "l + 11", "l + 29"], ["l", "v + 10", "v + 39"], ["v", "e + 7", "e + 46"], ["e", "w + 13", "w + 59"], ["w", 1, "60"]], "target_var_name": "q", "target_value": 60, "value_dict": {"w": 1}, "is_reverse": true}}
| 2,505
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = m + 12; v = e + 7; j = n + 9; e = w + 13; y = b + 5; w = 1; m = w + 1; b = l + 11; q = y + 13; l = v + 10; h = j + 9; g = h + 2; f = g + 9. Given that w = 1, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 5 to q, which gives q = b + 18.\n2. Substitute b = l + 11 to q, which gives q = l + 29.\n3. Substitute l = v + 10 to q, which gives q = v + 39.\n4. Substitute v = e + 7 to q, which gives q = e + 46.\n5. Substitute e = w + 13 to q, which gives q = w + 59.\n6. Substitute w = 1 to q, which gives q = 60.\n\nThus, the final answer is q = \\boxed{60}.",
"index": 2505,
"question": "Suppose a collection of variables is related by the following definitions: n = m + 12; v = e + 7; j = n + 9; e = w + 13; y = b + 5; w = 1; m = w + 1; b = l + 11; q = y + 13; l = v + 10; h = j + 9; g = h + 2; f = g + 9. Given that w = 1, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"i": "h + 11", "g": "i + 8", "e": "g + 12", "k": "e + 9", "m": "k + 1", "s": "m + 1", "d": "h + 5", "n": "d + 14", "c": "n + 13", "b": "c + 18", "a": "b + 9", "l": "a + 4", "h": 10}, "premises": {"h": 10}, "target": "s"}, "answer": {"steps": [["m", "k + 1", "k + 2"], ["k", "e + 9", "e + 11"], ["e", "g + 12", "g + 23"], ["g", "i + 8", "i + 31"], ["i", "h + 11", "h + 42"], ["h", 10, "52"]], "target_var_name": "s", "target_value": 52, "value_dict": {"h": 10}, "is_reverse": true}}
| 2,506
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = b + 9; k = e + 9; s = m + 1; d = h + 5; n = d + 14; e = g + 12; g = i + 8; i = h + 11; b = c + 18; h = 10; c = n + 13; l = a + 4; m = k + 1. Given that h = 10, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 1 to s, which gives s = k + 2.\n2. Substitute k = e + 9 to s, which gives s = e + 11.\n3. Substitute e = g + 12 to s, which gives s = g + 23.\n4. Substitute g = i + 8 to s, which gives s = i + 31.\n5. Substitute i = h + 11 to s, which gives s = h + 42.\n6. Substitute h = 10 to s, which gives s = 52.\n\nThus, the final answer is s = \\boxed{52}.",
"index": 2506,
"question": "Suppose a collection of variables is related by the following definitions: a = b + 9; k = e + 9; s = m + 1; d = h + 5; n = d + 14; e = g + 12; g = i + 8; i = h + 11; b = c + 18; h = 10; c = n + 13; l = a + 4; m = k + 1. Given that h = 10, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"c": "i + 12", "s": "c + 3", "l": "s + 11", "t": "l + 7", "d": "t + 10", "y": "d + 5", "r": "i + 20", "b": "r + 14", "g": "b + 12", "m": "g + 7", "x": "m + 8", "f": "x + 8", "i": 1}, "premises": {"i": 1}, "target": "y"}, "answer": {"steps": [["d", "t + 10", "t + 15"], ["t", "l + 7", "l + 22"], ["l", "s + 11", "s + 33"], ["s", "c + 3", "c + 36"], ["c", "i + 12", "i + 48"], ["i", 1, "49"]], "target_var_name": "y", "target_value": 49, "value_dict": {"i": 1}, "is_reverse": true}}
| 2,507
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = m + 8; f = x + 8; l = s + 11; d = t + 10; m = g + 7; t = l + 7; c = i + 12; s = c + 3; r = i + 20; i = 1; g = b + 12; b = r + 14; y = d + 5. Given that i = 1, find the 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 d = t + 10 to y, which gives y = t + 15.\n2. Substitute t = l + 7 to y, which gives y = l + 22.\n3. Substitute l = s + 11 to y, which gives y = s + 33.\n4. Substitute s = c + 3 to y, which gives y = c + 36.\n5. Substitute c = i + 12 to y, which gives y = i + 48.\n6. Substitute i = 1 to y, which gives y = 49.\n\nThus, the final answer is y = \\boxed{49}.",
"index": 2507,
"question": "Suppose a collection of variables is related by the following definitions: x = m + 8; f = x + 8; l = s + 11; d = t + 10; m = g + 7; t = l + 7; c = i + 12; s = c + 3; r = i + 20; i = 1; g = b + 12; b = r + 14; y = d + 5. Given that i = 1, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"y": "p + 17", "x": "y + 11", "s": "x + 7", "j": "s + 2", "i": "j + 10", "a": "i + 4", "w": "p + 16", "l": "w + 7", "r": "l + 9", "t": "r + 11", "b": "t + 13", "n": "b + 7", "p": 10}, "premises": {"p": 10}, "target": "a"}, "answer": {"steps": [["i", "j + 10", "j + 14"], ["j", "s + 2", "s + 16"], ["s", "x + 7", "x + 23"], ["x", "y + 11", "y + 34"], ["y", "p + 17", "p + 51"], ["p", 10, "61"]], "target_var_name": "a", "target_value": 61, "value_dict": {"p": 10}, "is_reverse": true}}
| 2,508
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 11; t = r + 11; y = p + 17; l = w + 7; p = 10; a = i + 4; b = t + 13; s = x + 7; r = l + 9; i = j + 10; w = p + 16; n = b + 7; j = s + 2. Given that p = 10, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 10 to a, which gives a = j + 14.\n2. Substitute j = s + 2 to a, which gives a = s + 16.\n3. Substitute s = x + 7 to a, which gives a = x + 23.\n4. Substitute x = y + 11 to a, which gives a = y + 34.\n5. Substitute y = p + 17 to a, which gives a = p + 51.\n6. Substitute p = 10 to a, which gives a = 61.\n\nThus, the final answer is a = \\boxed{61}.",
"index": 2508,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 11; t = r + 11; y = p + 17; l = w + 7; p = 10; a = i + 4; b = t + 13; s = x + 7; r = l + 9; i = j + 10; w = p + 16; n = b + 7; j = s + 2. Given that p = 10, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"u": "z + 9", "x": "u + 14", "f": "x + 20", "g": "f + 14", "y": "g + 16", "e": "y + 9", "r": "z + 13", "a": "r + 6", "t": "a + 10", "o": "t + 5", "l": "o + 14", "m": "l + 4", "z": 4}, "premises": {"z": 4}, "target": "e"}, "answer": {"steps": [["y", "g + 16", "g + 25"], ["g", "f + 14", "f + 39"], ["f", "x + 20", "x + 59"], ["x", "u + 14", "u + 73"], ["u", "z + 9", "z + 82"], ["z", 4, "86"]], "target_var_name": "e", "target_value": 86, "value_dict": {"z": 4}, "is_reverse": true}}
| 2,509
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = y + 9; r = z + 13; f = x + 20; y = g + 16; l = o + 14; z = 4; u = z + 9; g = f + 14; m = l + 4; a = r + 6; t = a + 10; o = t + 5; x = u + 14. Given that z = 4, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 16 to e, which gives e = g + 25.\n2. Substitute g = f + 14 to e, which gives e = f + 39.\n3. Substitute f = x + 20 to e, which gives e = x + 59.\n4. Substitute x = u + 14 to e, which gives e = u + 73.\n5. Substitute u = z + 9 to e, which gives e = z + 82.\n6. Substitute z = 4 to e, which gives e = 86.\n\nThus, the final answer is e = \\boxed{86}.",
"index": 2509,
"question": "Suppose a collection of variables is related by the following definitions: e = y + 9; r = z + 13; f = x + 20; y = g + 16; l = o + 14; z = 4; u = z + 9; g = f + 14; m = l + 4; a = r + 6; t = a + 10; o = t + 5; x = u + 14. Given that z = 4, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"a": "r + 7", "j": "a + 2", "g": "j + 4", "l": "g + 3", "p": "l + 19", "f": "p + 10", "t": "r + 12", "w": "t + 16", "x": "w + 4", "y": "x + 14", "u": "y + 13", "s": "u + 20", "r": 8}, "premises": {"r": 8}, "target": "f"}, "answer": {"steps": [["p", "l + 19", "l + 29"], ["l", "g + 3", "g + 32"], ["g", "j + 4", "j + 36"], ["j", "a + 2", "a + 38"], ["a", "r + 7", "r + 45"], ["r", 8, "53"]], "target_var_name": "f", "target_value": 53, "value_dict": {"r": 8}, "is_reverse": true}}
| 2,510
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = g + 3; r = 8; u = y + 13; g = j + 4; x = w + 4; j = a + 2; t = r + 12; f = p + 10; w = t + 16; s = u + 20; y = x + 14; p = l + 19; a = r + 7. If r = 8, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 19 to f, which gives f = l + 29.\n2. Substitute l = g + 3 to f, which gives f = g + 32.\n3. Substitute g = j + 4 to f, which gives f = j + 36.\n4. Substitute j = a + 2 to f, which gives f = a + 38.\n5. Substitute a = r + 7 to f, which gives f = r + 45.\n6. Substitute r = 8 to f, which gives f = 53.\n\nThus, the final answer is f = \\boxed{53}.",
"index": 2510,
"question": "Consider a system of variables where each variable is defined as follows: l = g + 3; r = 8; u = y + 13; g = j + 4; x = w + 4; j = a + 2; t = r + 12; f = p + 10; w = t + 16; s = u + 20; y = x + 14; p = l + 19; a = r + 7. If r = 8, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 19", "l": "c + 11", "j": "l + 2", "p": "j + 20", "o": "p + 4", "d": "o + 5", "k": "r + 2", "s": "k + 7", "v": "s + 6", "u": "v + 20", "y": "u + 10", "f": "y + 1", "r": 10}, "premises": {"r": 10}, "target": "d"}, "answer": {"steps": [["o", "p + 4", "p + 9"], ["p", "j + 20", "j + 29"], ["j", "l + 2", "l + 31"], ["l", "c + 11", "c + 42"], ["c", "r + 19", "r + 61"], ["r", 10, "71"]], "target_var_name": "d", "target_value": 71, "value_dict": {"r": 10}, "is_reverse": true}}
| 2,511
| 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 = o + 5; k = r + 2; v = s + 6; u = v + 20; p = j + 20; o = p + 4; j = l + 2; r = 10; c = r + 19; y = u + 10; f = y + 1; l = c + 11; s = k + 7. If r = 10, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 4 to d, which gives d = p + 9.\n2. Substitute p = j + 20 to d, which gives d = j + 29.\n3. Substitute j = l + 2 to d, which gives d = l + 31.\n4. Substitute l = c + 11 to d, which gives d = c + 42.\n5. Substitute c = r + 19 to d, which gives d = r + 61.\n6. Substitute r = 10 to d, which gives d = 71.\n\nThus, the final answer is d = \\boxed{71}.",
"index": 2511,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 5; k = r + 2; v = s + 6; u = v + 20; p = j + 20; o = p + 4; j = l + 2; r = 10; c = r + 19; y = u + 10; f = y + 1; l = c + 11; s = k + 7. If r = 10, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"g": "b + 10", "l": "g + 2", "k": "l + 10", "h": "k + 4", "v": "h + 10", "x": "v + 11", "i": "b + 13", "d": "i + 19", "m": "d + 11", "r": "m + 10", "w": "r + 13", "u": "w + 8", "b": 7}, "premises": {"b": 7}, "target": "x"}, "answer": {"steps": [["v", "h + 10", "h + 21"], ["h", "k + 4", "k + 25"], ["k", "l + 10", "l + 35"], ["l", "g + 2", "g + 37"], ["g", "b + 10", "b + 47"], ["b", 7, "54"]], "target_var_name": "x", "target_value": 54, "value_dict": {"b": 7}, "is_reverse": true}}
| 2,512
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = b + 10; b = 7; v = h + 10; r = m + 10; h = k + 4; w = r + 13; u = w + 8; i = b + 13; l = g + 2; m = d + 11; d = i + 19; x = v + 11; k = l + 10. If b = 7, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 10 to x, which gives x = h + 21.\n2. Substitute h = k + 4 to x, which gives x = k + 25.\n3. Substitute k = l + 10 to x, which gives x = l + 35.\n4. Substitute l = g + 2 to x, which gives x = g + 37.\n5. Substitute g = b + 10 to x, which gives x = b + 47.\n6. Substitute b = 7 to x, which gives x = 54.\n\nThus, the final answer is x = \\boxed{54}.",
"index": 2512,
"question": "Consider a system of variables where each variable is defined as follows: g = b + 10; b = 7; v = h + 10; r = m + 10; h = k + 4; w = r + 13; u = w + 8; i = b + 13; l = g + 2; m = d + 11; d = i + 19; x = v + 11; k = l + 10. If b = 7, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"l": "t + 7", "h": "l + 20", "q": "h + 6", "s": "q + 6", "j": "s + 18", "m": "j + 7", "e": "t + 5", "d": "e + 6", "z": "d + 2", "o": "z + 6", "v": "o + 9", "y": "v + 1", "t": 19}, "premises": {"t": 19}, "target": "m"}, "answer": {"steps": [["j", "s + 18", "s + 25"], ["s", "q + 6", "q + 31"], ["q", "h + 6", "h + 37"], ["h", "l + 20", "l + 57"], ["l", "t + 7", "t + 64"], ["t", 19, "83"]], "target_var_name": "m", "target_value": 83, "value_dict": {"t": 19}, "is_reverse": true}}
| 2,513
| 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 + 18; m = j + 7; q = h + 6; y = v + 1; e = t + 5; l = t + 7; d = e + 6; t = 19; h = l + 20; v = o + 9; o = z + 6; s = q + 6; z = d + 2. If t = 19, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 18 to m, which gives m = s + 25.\n2. Substitute s = q + 6 to m, which gives m = q + 31.\n3. Substitute q = h + 6 to m, which gives m = h + 37.\n4. Substitute h = l + 20 to m, which gives m = l + 57.\n5. Substitute l = t + 7 to m, which gives m = t + 64.\n6. Substitute t = 19 to m, which gives m = 83.\n\nThus, the final answer is m = \\boxed{83}.",
"index": 2513,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 18; m = j + 7; q = h + 6; y = v + 1; e = t + 5; l = t + 7; d = e + 6; t = 19; h = l + 20; v = o + 9; o = z + 6; s = q + 6; z = d + 2. If t = 19, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"e": "u + 16", "w": "e + 18", "i": "w + 14", "n": "i + 14", "h": "n + 7", "k": "h + 6", "v": "u + 20", "z": "v + 17", "b": "z + 10", "x": "b + 6", "r": "x + 1", "a": "r + 8", "u": 2}, "premises": {"u": 2}, "target": "k"}, "answer": {"steps": [["h", "n + 7", "n + 13"], ["n", "i + 14", "i + 27"], ["i", "w + 14", "w + 41"], ["w", "e + 18", "e + 59"], ["e", "u + 16", "u + 75"], ["u", 2, "77"]], "target_var_name": "k", "target_value": 77, "value_dict": {"u": 2}, "is_reverse": true}}
| 2,514
| 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 = r + 8; h = n + 7; w = e + 18; z = v + 17; e = u + 16; k = h + 6; b = z + 10; i = w + 14; v = u + 20; u = 2; r = x + 1; n = i + 14; x = b + 6. If u = 2, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 7 to k, which gives k = n + 13.\n2. Substitute n = i + 14 to k, which gives k = i + 27.\n3. Substitute i = w + 14 to k, which gives k = w + 41.\n4. Substitute w = e + 18 to k, which gives k = e + 59.\n5. Substitute e = u + 16 to k, which gives k = u + 75.\n6. Substitute u = 2 to k, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 2514,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 8; h = n + 7; w = e + 18; z = v + 17; e = u + 16; k = h + 6; b = z + 10; i = w + 14; v = u + 20; u = 2; r = x + 1; n = i + 14; x = b + 6. If u = 2, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"e": "r + 4", "v": "e + 18", "o": "v + 4", "j": "o + 5", "h": "j + 8", "c": "h + 2", "x": "r + 10", "s": "x + 18", "q": "s + 18", "d": "q + 17", "i": "d + 14", "b": "i + 14", "r": 7}, "premises": {"r": 7}, "target": "c"}, "answer": {"steps": [["h", "j + 8", "j + 10"], ["j", "o + 5", "o + 15"], ["o", "v + 4", "v + 19"], ["v", "e + 18", "e + 37"], ["e", "r + 4", "r + 41"], ["r", 7, "48"]], "target_var_name": "c", "target_value": 48, "value_dict": {"r": 7}, "is_reverse": true}}
| 2,515
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 18; e = r + 4; o = v + 4; d = q + 17; b = i + 14; x = r + 10; h = j + 8; c = h + 2; q = s + 18; j = o + 5; r = 7; v = e + 18; i = d + 14. If r = 7, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 8 to c, which gives c = j + 10.\n2. Substitute j = o + 5 to c, which gives c = o + 15.\n3. Substitute o = v + 4 to c, which gives c = v + 19.\n4. Substitute v = e + 18 to c, which gives c = e + 37.\n5. Substitute e = r + 4 to c, which gives c = r + 41.\n6. Substitute r = 7 to c, which gives c = 48.\n\nThus, the final answer is c = \\boxed{48}.",
"index": 2515,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 18; e = r + 4; o = v + 4; d = q + 17; b = i + 14; x = r + 10; h = j + 8; c = h + 2; q = s + 18; j = o + 5; r = 7; v = e + 18; i = d + 14. If r = 7, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 8", "b": "p + 10", "e": "b + 10", "y": "e + 4", "i": "y + 7", "c": "i + 19", "j": "m + 12", "f": "j + 3", "k": "f + 1", "n": "k + 15", "l": "n + 14", "q": "l + 3", "m": 1}, "premises": {"m": 1}, "target": "c"}, "answer": {"steps": [["i", "y + 7", "y + 26"], ["y", "e + 4", "e + 30"], ["e", "b + 10", "b + 40"], ["b", "p + 10", "p + 50"], ["p", "m + 8", "m + 58"], ["m", 1, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"m": 1}, "is_reverse": true}}
| 2,516
| 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 = k + 15; i = y + 7; y = e + 4; e = b + 10; k = f + 1; p = m + 8; b = p + 10; f = j + 3; j = m + 12; q = l + 3; m = 1; c = i + 19; l = n + 14. If m = 1, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 7 to c, which gives c = y + 26.\n2. Substitute y = e + 4 to c, which gives c = e + 30.\n3. Substitute e = b + 10 to c, which gives c = b + 40.\n4. Substitute b = p + 10 to c, which gives c = p + 50.\n5. Substitute p = m + 8 to c, which gives c = m + 58.\n6. Substitute m = 1 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 2516,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 15; i = y + 7; y = e + 4; e = b + 10; k = f + 1; p = m + 8; b = p + 10; f = j + 3; j = m + 12; q = l + 3; m = 1; c = i + 19; l = n + 14. If m = 1, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"f": "r + 9", "n": "f + 6", "o": "n + 13", "s": "o + 10", "z": "s + 17", "i": "z + 6", "h": "r + 6", "l": "h + 10", "y": "l + 13", "t": "y + 11", "d": "t + 19", "a": "d + 17", "r": 6}, "premises": {"r": 6}, "target": "i"}, "answer": {"steps": [["z", "s + 17", "s + 23"], ["s", "o + 10", "o + 33"], ["o", "n + 13", "n + 46"], ["n", "f + 6", "f + 52"], ["f", "r + 9", "r + 61"], ["r", 6, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"r": 6}, "is_reverse": true}}
| 2,517
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 13; n = f + 6; r = 6; a = d + 17; o = n + 13; t = y + 11; h = r + 6; f = r + 9; d = t + 19; s = o + 10; l = h + 10; i = z + 6; z = s + 17. If r = 6, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 17 to i, which gives i = s + 23.\n2. Substitute s = o + 10 to i, which gives i = o + 33.\n3. Substitute o = n + 13 to i, which gives i = n + 46.\n4. Substitute n = f + 6 to i, which gives i = f + 52.\n5. Substitute f = r + 9 to i, which gives i = r + 61.\n6. Substitute r = 6 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 2517,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 13; n = f + 6; r = 6; a = d + 17; o = n + 13; t = y + 11; h = r + 6; f = r + 9; d = t + 19; s = o + 10; l = h + 10; i = z + 6; z = s + 17. If r = 6, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"v": "r + 2", "o": "v + 6", "m": "o + 7", "w": "m + 7", "y": "w + 18", "p": "y + 8", "a": "r + 19", "n": "a + 20", "l": "n + 19", "k": "l + 8", "g": "k + 16", "c": "g + 3", "r": 20}, "premises": {"r": 20}, "target": "p"}, "answer": {"steps": [["y", "w + 18", "w + 26"], ["w", "m + 7", "m + 33"], ["m", "o + 7", "o + 40"], ["o", "v + 6", "v + 46"], ["v", "r + 2", "r + 48"], ["r", 20, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"r": 20}, "is_reverse": true}}
| 2,518
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 19; o = v + 6; m = o + 7; r = 20; n = a + 20; l = n + 19; p = y + 8; c = g + 3; w = m + 7; k = l + 8; g = k + 16; v = r + 2; y = w + 18. Given that r = 20, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 18 to p, which gives p = w + 26.\n2. Substitute w = m + 7 to p, which gives p = m + 33.\n3. Substitute m = o + 7 to p, which gives p = o + 40.\n4. Substitute o = v + 6 to p, which gives p = v + 46.\n5. Substitute v = r + 2 to p, which gives p = r + 48.\n6. Substitute r = 20 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 2518,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 19; o = v + 6; m = o + 7; r = 20; n = a + 20; l = n + 19; p = y + 8; c = g + 3; w = m + 7; k = l + 8; g = k + 16; v = r + 2; y = w + 18. Given that r = 20, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"q": "u + 11", "g": "q + 15", "y": "g + 13", "a": "y + 1", "d": "a + 3", "i": "d + 17", "l": "u + 19", "w": "l + 15", "p": "w + 4", "f": "p + 14", "r": "f + 15", "s": "r + 10", "u": 15}, "premises": {"u": 15}, "target": "i"}, "answer": {"steps": [["d", "a + 3", "a + 20"], ["a", "y + 1", "y + 21"], ["y", "g + 13", "g + 34"], ["g", "q + 15", "q + 49"], ["q", "u + 11", "u + 60"], ["u", 15, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"u": 15}, "is_reverse": true}}
| 2,519
| 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 = u + 19; q = u + 11; i = d + 17; f = p + 14; u = 15; g = q + 15; s = r + 10; a = y + 1; r = f + 15; d = a + 3; w = l + 15; p = w + 4; y = g + 13. If u = 15, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 3 to i, which gives i = a + 20.\n2. Substitute a = y + 1 to i, which gives i = y + 21.\n3. Substitute y = g + 13 to i, which gives i = g + 34.\n4. Substitute g = q + 15 to i, which gives i = q + 49.\n5. Substitute q = u + 11 to i, which gives i = u + 60.\n6. Substitute u = 15 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 2519,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 19; q = u + 11; i = d + 17; f = p + 14; u = 15; g = q + 15; s = r + 10; a = y + 1; r = f + 15; d = a + 3; w = l + 15; p = w + 4; y = g + 13. If u = 15, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 3", "o": "h + 11", "g": "o + 17", "r": "g + 19", "f": "r + 11", "k": "f + 1", "t": "c + 14", "x": "t + 16", "z": "x + 20", "u": "z + 16", "j": "u + 13", "v": "j + 17", "c": 10}, "premises": {"c": 10}, "target": "k"}, "answer": {"steps": [["f", "r + 11", "r + 12"], ["r", "g + 19", "g + 31"], ["g", "o + 17", "o + 48"], ["o", "h + 11", "h + 59"], ["h", "c + 3", "c + 62"], ["c", 10, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"c": 10}, "is_reverse": true}}
| 2,520
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = o + 17; f = r + 11; v = j + 17; h = c + 3; u = z + 16; t = c + 14; z = x + 20; x = t + 16; c = 10; k = f + 1; o = h + 11; j = u + 13; r = g + 19. Given that c = 10, find the 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 f = r + 11 to k, which gives k = r + 12.\n2. Substitute r = g + 19 to k, which gives k = g + 31.\n3. Substitute g = o + 17 to k, which gives k = o + 48.\n4. Substitute o = h + 11 to k, which gives k = h + 59.\n5. Substitute h = c + 3 to k, which gives k = c + 62.\n6. Substitute c = 10 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 2520,
"question": "Suppose a collection of variables is related by the following definitions: g = o + 17; f = r + 11; v = j + 17; h = c + 3; u = z + 16; t = c + 14; z = x + 20; x = t + 16; c = 10; k = f + 1; o = h + 11; j = u + 13; r = g + 19. Given that c = 10, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"o": "y + 1", "s": "o + 2", "k": "s + 1", "m": "k + 7", "c": "m + 8", "t": "c + 10", "i": "y + 6", "n": "i + 7", "u": "n + 3", "r": "u + 1", "j": "r + 11", "w": "j + 11", "y": 1}, "premises": {"y": 1}, "target": "t"}, "answer": {"steps": [["c", "m + 8", "m + 18"], ["m", "k + 7", "k + 25"], ["k", "s + 1", "s + 26"], ["s", "o + 2", "o + 28"], ["o", "y + 1", "y + 29"], ["y", 1, "30"]], "target_var_name": "t", "target_value": 30, "value_dict": {"y": 1}, "is_reverse": true}}
| 2,521
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = i + 7; c = m + 8; y = 1; m = k + 7; r = u + 1; s = o + 2; j = r + 11; u = n + 3; w = j + 11; o = y + 1; k = s + 1; t = c + 10; i = y + 6. If y = 1, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 30,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 8 to t, which gives t = m + 18.\n2. Substitute m = k + 7 to t, which gives t = k + 25.\n3. Substitute k = s + 1 to t, which gives t = s + 26.\n4. Substitute s = o + 2 to t, which gives t = o + 28.\n5. Substitute o = y + 1 to t, which gives t = y + 29.\n6. Substitute y = 1 to t, which gives t = 30.\n\nThus, the final answer is t = \\boxed{30}.",
"index": 2521,
"question": "Consider a system of variables where each variable is defined as follows: n = i + 7; c = m + 8; y = 1; m = k + 7; r = u + 1; s = o + 2; j = r + 11; u = n + 3; w = j + 11; o = y + 1; k = s + 1; t = c + 10; i = y + 6. If y = 1, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"b": "a + 8", "c": "b + 10", "p": "c + 20", "u": "p + 10", "r": "u + 5", "d": "r + 10", "h": "a + 10", "v": "h + 12", "k": "v + 4", "x": "k + 14", "i": "x + 3", "s": "i + 6", "a": 1}, "premises": {"a": 1}, "target": "d"}, "answer": {"steps": [["r", "u + 5", "u + 15"], ["u", "p + 10", "p + 25"], ["p", "c + 20", "c + 45"], ["c", "b + 10", "b + 55"], ["b", "a + 8", "a + 63"], ["a", 1, "64"]], "target_var_name": "d", "target_value": 64, "value_dict": {"a": 1}, "is_reverse": true}}
| 2,522
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = u + 5; h = a + 10; b = a + 8; v = h + 12; d = r + 10; k = v + 4; c = b + 10; p = c + 20; i = x + 3; u = p + 10; a = 1; s = i + 6; x = k + 14. Given that a = 1, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 5 to d, which gives d = u + 15.\n2. Substitute u = p + 10 to d, which gives d = p + 25.\n3. Substitute p = c + 20 to d, which gives d = c + 45.\n4. Substitute c = b + 10 to d, which gives d = b + 55.\n5. Substitute b = a + 8 to d, which gives d = a + 63.\n6. Substitute a = 1 to d, which gives d = 64.\n\nThus, the final answer is d = \\boxed{64}.",
"index": 2522,
"question": "Suppose a collection of variables is related by the following definitions: r = u + 5; h = a + 10; b = a + 8; v = h + 12; d = r + 10; k = v + 4; c = b + 10; p = c + 20; i = x + 3; u = p + 10; a = 1; s = i + 6; x = k + 14. Given that a = 1, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"t": "d + 10", "e": "t + 6", "i": "e + 20", "u": "i + 7", "v": "u + 7", "m": "v + 18", "n": "d + 8", "b": "n + 17", "w": "b + 8", "z": "w + 2", "c": "z + 8", "h": "c + 4", "d": 7}, "premises": {"d": 7}, "target": "m"}, "answer": {"steps": [["v", "u + 7", "u + 25"], ["u", "i + 7", "i + 32"], ["i", "e + 20", "e + 52"], ["e", "t + 6", "t + 58"], ["t", "d + 10", "d + 68"], ["d", 7, "75"]], "target_var_name": "m", "target_value": 75, "value_dict": {"d": 7}, "is_reverse": true}}
| 2,523
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = i + 7; d = 7; c = z + 8; n = d + 8; w = b + 8; b = n + 17; i = e + 20; v = u + 7; e = t + 6; z = w + 2; m = v + 18; t = d + 10; h = c + 4. If d = 7, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 7 to m, which gives m = u + 25.\n2. Substitute u = i + 7 to m, which gives m = i + 32.\n3. Substitute i = e + 20 to m, which gives m = e + 52.\n4. Substitute e = t + 6 to m, which gives m = t + 58.\n5. Substitute t = d + 10 to m, which gives m = d + 68.\n6. Substitute d = 7 to m, which gives m = 75.\n\nThus, the final answer is m = \\boxed{75}.",
"index": 2523,
"question": "Consider a system of variables where each variable is defined as follows: u = i + 7; d = 7; c = z + 8; n = d + 8; w = b + 8; b = n + 17; i = e + 20; v = u + 7; e = t + 6; z = w + 2; m = v + 18; t = d + 10; h = c + 4. If d = 7, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"w": "r + 3", "z": "w + 11", "b": "z + 5", "t": "b + 5", "a": "t + 15", "o": "a + 12", "p": "r + 11", "e": "p + 12", "f": "e + 3", "s": "f + 15", "c": "s + 15", "h": "c + 16", "r": 3}, "premises": {"r": 3}, "target": "o"}, "answer": {"steps": [["a", "t + 15", "t + 27"], ["t", "b + 5", "b + 32"], ["b", "z + 5", "z + 37"], ["z", "w + 11", "w + 48"], ["w", "r + 3", "r + 51"], ["r", 3, "54"]], "target_var_name": "o", "target_value": 54, "value_dict": {"r": 3}, "is_reverse": true}}
| 2,524
| 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; a = t + 15; t = b + 5; c = s + 15; o = a + 12; p = r + 11; f = e + 3; s = f + 15; h = c + 16; e = p + 12; b = z + 5; w = r + 3; r = 3. Given that r = 3, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 15 to o, which gives o = t + 27.\n2. Substitute t = b + 5 to o, which gives o = b + 32.\n3. Substitute b = z + 5 to o, which gives o = z + 37.\n4. Substitute z = w + 11 to o, which gives o = w + 48.\n5. Substitute w = r + 3 to o, which gives o = r + 51.\n6. Substitute r = 3 to o, which gives o = 54.\n\nThus, the final answer is o = \\boxed{54}.",
"index": 2524,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 11; a = t + 15; t = b + 5; c = s + 15; o = a + 12; p = r + 11; f = e + 3; s = f + 15; h = c + 16; e = p + 12; b = z + 5; w = r + 3; r = 3. Given that r = 3, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"x": "n + 15", "g": "x + 14", "u": "g + 5", "l": "u + 10", "r": "l + 2", "m": "r + 4", "y": "n + 3", "e": "y + 4", "v": "e + 4", "h": "v + 20", "q": "h + 5", "c": "q + 14", "n": 10}, "premises": {"n": 10}, "target": "m"}, "answer": {"steps": [["r", "l + 2", "l + 6"], ["l", "u + 10", "u + 16"], ["u", "g + 5", "g + 21"], ["g", "x + 14", "x + 35"], ["x", "n + 15", "n + 50"], ["n", 10, "60"]], "target_var_name": "m", "target_value": 60, "value_dict": {"n": 10}, "is_reverse": true}}
| 2,525
| 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 = e + 4; y = n + 3; x = n + 15; r = l + 2; e = y + 4; g = x + 14; q = h + 5; u = g + 5; l = u + 10; h = v + 20; m = r + 4; n = 10; c = q + 14. If n = 10, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 2 to m, which gives m = l + 6.\n2. Substitute l = u + 10 to m, which gives m = u + 16.\n3. Substitute u = g + 5 to m, which gives m = g + 21.\n4. Substitute g = x + 14 to m, which gives m = x + 35.\n5. Substitute x = n + 15 to m, which gives m = n + 50.\n6. Substitute n = 10 to m, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 2525,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 4; y = n + 3; x = n + 15; r = l + 2; e = y + 4; g = x + 14; q = h + 5; u = g + 5; l = u + 10; h = v + 20; m = r + 4; n = 10; c = q + 14. If n = 10, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"i": "d + 19", "c": "i + 15", "w": "c + 9", "n": "w + 17", "o": "n + 1", "g": "o + 11", "j": "d + 12", "h": "j + 5", "v": "h + 5", "y": "v + 9", "t": "y + 14", "e": "t + 1", "d": 7}, "premises": {"d": 7}, "target": "g"}, "answer": {"steps": [["o", "n + 1", "n + 12"], ["n", "w + 17", "w + 29"], ["w", "c + 9", "c + 38"], ["c", "i + 15", "i + 53"], ["i", "d + 19", "d + 72"], ["d", 7, "79"]], "target_var_name": "g", "target_value": 79, "value_dict": {"d": 7}, "is_reverse": true}}
| 2,526
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 9; e = t + 1; o = n + 1; h = j + 5; j = d + 12; v = h + 5; i = d + 19; d = 7; y = v + 9; g = o + 11; c = i + 15; t = y + 14; n = w + 17. If d = 7, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 1 to g, which gives g = n + 12.\n2. Substitute n = w + 17 to g, which gives g = w + 29.\n3. Substitute w = c + 9 to g, which gives g = c + 38.\n4. Substitute c = i + 15 to g, which gives g = i + 53.\n5. Substitute i = d + 19 to g, which gives g = d + 72.\n6. Substitute d = 7 to g, which gives g = 79.\n\nThus, the final answer is g = \\boxed{79}.",
"index": 2526,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 9; e = t + 1; o = n + 1; h = j + 5; j = d + 12; v = h + 5; i = d + 19; d = 7; y = v + 9; g = o + 11; c = i + 15; t = y + 14; n = w + 17. If d = 7, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"h": "v + 7", "m": "h + 11", "q": "m + 20", "j": "q + 13", "w": "j + 20", "n": "w + 12", "o": "v + 1", "x": "o + 11", "r": "x + 19", "l": "r + 10", "c": "l + 2", "y": "c + 14", "v": 20}, "premises": {"v": 20}, "target": "n"}, "answer": {"steps": [["w", "j + 20", "j + 32"], ["j", "q + 13", "q + 45"], ["q", "m + 20", "m + 65"], ["m", "h + 11", "h + 76"], ["h", "v + 7", "v + 83"], ["v", 20, "103"]], "target_var_name": "n", "target_value": 103, "value_dict": {"v": 20}, "is_reverse": true}}
| 2,527
| 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 = x + 19; j = q + 13; w = j + 20; q = m + 20; y = c + 14; x = o + 11; c = l + 2; h = v + 7; l = r + 10; m = h + 11; v = 20; o = v + 1; n = w + 12. If v = 20, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 20 to n, which gives n = j + 32.\n2. Substitute j = q + 13 to n, which gives n = q + 45.\n3. Substitute q = m + 20 to n, which gives n = m + 65.\n4. Substitute m = h + 11 to n, which gives n = h + 76.\n5. Substitute h = v + 7 to n, which gives n = v + 83.\n6. Substitute v = 20 to n, which gives n = 103.\n\nThus, the final answer is n = \\boxed{103}.",
"index": 2527,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = x + 19; j = q + 13; w = j + 20; q = m + 20; y = c + 14; x = o + 11; c = l + 2; h = v + 7; l = r + 10; m = h + 11; v = 20; o = v + 1; n = w + 12. If v = 20, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"u": "b + 20", "f": "u + 3", "z": "f + 11", "d": "z + 16", "j": "d + 8", "m": "j + 4", "i": "b + 18", "p": "i + 11", "v": "p + 4", "g": "v + 5", "h": "g + 12", "n": "h + 4", "b": 13}, "premises": {"b": 13}, "target": "m"}, "answer": {"steps": [["j", "d + 8", "d + 12"], ["d", "z + 16", "z + 28"], ["z", "f + 11", "f + 39"], ["f", "u + 3", "u + 42"], ["u", "b + 20", "b + 62"], ["b", 13, "75"]], "target_var_name": "m", "target_value": 75, "value_dict": {"b": 13}, "is_reverse": true}}
| 2,528
| 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 = 13; j = d + 8; g = v + 5; v = p + 4; n = h + 4; p = i + 11; u = b + 20; h = g + 12; z = f + 11; i = b + 18; d = z + 16; f = u + 3; m = j + 4. If b = 13, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 8 to m, which gives m = d + 12.\n2. Substitute d = z + 16 to m, which gives m = z + 28.\n3. Substitute z = f + 11 to m, which gives m = f + 39.\n4. Substitute f = u + 3 to m, which gives m = u + 42.\n5. Substitute u = b + 20 to m, which gives m = b + 62.\n6. Substitute b = 13 to m, which gives m = 75.\n\nThus, the final answer is m = \\boxed{75}.",
"index": 2528,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = 13; j = d + 8; g = v + 5; v = p + 4; n = h + 4; p = i + 11; u = b + 20; h = g + 12; z = f + 11; i = b + 18; d = z + 16; f = u + 3; m = j + 4. If b = 13, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"e": "t + 13", "i": "e + 5", "s": "i + 13", "f": "s + 9", "k": "f + 16", "a": "k + 16", "j": "t + 16", "p": "j + 6", "l": "p + 16", "g": "l + 20", "z": "g + 3", "c": "z + 2", "t": 20}, "premises": {"t": 20}, "target": "a"}, "answer": {"steps": [["k", "f + 16", "f + 32"], ["f", "s + 9", "s + 41"], ["s", "i + 13", "i + 54"], ["i", "e + 5", "e + 59"], ["e", "t + 13", "t + 72"], ["t", 20, "92"]], "target_var_name": "a", "target_value": 92, "value_dict": {"t": 20}, "is_reverse": true}}
| 2,529
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = z + 2; z = g + 3; g = l + 20; a = k + 16; e = t + 13; t = 20; i = e + 5; s = i + 13; j = t + 16; p = j + 6; k = f + 16; f = s + 9; l = p + 16. Given that t = 20, find the 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 k = f + 16 to a, which gives a = f + 32.\n2. Substitute f = s + 9 to a, which gives a = s + 41.\n3. Substitute s = i + 13 to a, which gives a = i + 54.\n4. Substitute i = e + 5 to a, which gives a = e + 59.\n5. Substitute e = t + 13 to a, which gives a = t + 72.\n6. Substitute t = 20 to a, which gives a = 92.\n\nThus, the final answer is a = \\boxed{92}.",
"index": 2529,
"question": "Suppose a collection of variables is related by the following definitions: c = z + 2; z = g + 3; g = l + 20; a = k + 16; e = t + 13; t = 20; i = e + 5; s = i + 13; j = t + 16; p = j + 6; k = f + 16; f = s + 9; l = p + 16. Given that t = 20, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"b": "r + 8", "c": "b + 5", "v": "c + 20", "l": "v + 16", "g": "l + 14", "o": "g + 13", "z": "r + 5", "w": "z + 13", "d": "w + 18", "n": "d + 5", "e": "n + 6", "q": "e + 7", "r": 3}, "premises": {"r": 3}, "target": "o"}, "answer": {"steps": [["g", "l + 14", "l + 27"], ["l", "v + 16", "v + 43"], ["v", "c + 20", "c + 63"], ["c", "b + 5", "b + 68"], ["b", "r + 8", "r + 76"], ["r", 3, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"r": 3}, "is_reverse": true}}
| 2,530
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = r + 5; e = n + 6; r = 3; q = e + 7; b = r + 8; l = v + 16; n = d + 5; c = b + 5; g = l + 14; d = w + 18; o = g + 13; v = c + 20; w = z + 13. Given that r = 3, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = l + 14 to o, which gives o = l + 27.\n2. Substitute l = v + 16 to o, which gives o = v + 43.\n3. Substitute v = c + 20 to o, which gives o = c + 63.\n4. Substitute c = b + 5 to o, which gives o = b + 68.\n5. Substitute b = r + 8 to o, which gives o = r + 76.\n6. Substitute r = 3 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 2530,
"question": "Suppose a collection of variables is related by the following definitions: z = r + 5; e = n + 6; r = 3; q = e + 7; b = r + 8; l = v + 16; n = d + 5; c = b + 5; g = l + 14; d = w + 18; o = g + 13; v = c + 20; w = z + 13. Given that r = 3, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"z": "t + 9", "v": "z + 5", "r": "v + 10", "j": "r + 3", "d": "j + 17", "o": "d + 11", "n": "t + 10", "x": "n + 17", "k": "x + 13", "l": "k + 6", "q": "l + 18", "u": "q + 3", "t": 6}, "premises": {"t": 6}, "target": "o"}, "answer": {"steps": [["d", "j + 17", "j + 28"], ["j", "r + 3", "r + 31"], ["r", "v + 10", "v + 41"], ["v", "z + 5", "z + 46"], ["z", "t + 9", "t + 55"], ["t", 6, "61"]], "target_var_name": "o", "target_value": 61, "value_dict": {"t": 6}, "is_reverse": true}}
| 2,531
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = t + 9; u = q + 3; d = j + 17; k = x + 13; l = k + 6; r = v + 10; v = z + 5; q = l + 18; j = r + 3; o = d + 11; n = t + 10; t = 6; x = n + 17. If t = 6, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 17 to o, which gives o = j + 28.\n2. Substitute j = r + 3 to o, which gives o = r + 31.\n3. Substitute r = v + 10 to o, which gives o = v + 41.\n4. Substitute v = z + 5 to o, which gives o = z + 46.\n5. Substitute z = t + 9 to o, which gives o = t + 55.\n6. Substitute t = 6 to o, which gives o = 61.\n\nThus, the final answer is o = \\boxed{61}.",
"index": 2531,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = t + 9; u = q + 3; d = j + 17; k = x + 13; l = k + 6; r = v + 10; v = z + 5; q = l + 18; j = r + 3; o = d + 11; n = t + 10; t = 6; x = n + 17. If t = 6, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"x": "v + 4", "y": "x + 8", "d": "y + 15", "p": "d + 6", "r": "p + 16", "f": "r + 15", "o": "v + 18", "u": "o + 8", "k": "u + 19", "q": "k + 15", "z": "q + 17", "e": "z + 4", "v": 8}, "premises": {"v": 8}, "target": "f"}, "answer": {"steps": [["r", "p + 16", "p + 31"], ["p", "d + 6", "d + 37"], ["d", "y + 15", "y + 52"], ["y", "x + 8", "x + 60"], ["x", "v + 4", "v + 64"], ["v", 8, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"v": 8}, "is_reverse": true}}
| 2,532
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 6; o = v + 18; x = v + 4; r = p + 16; z = q + 17; q = k + 15; d = y + 15; k = u + 19; e = z + 4; v = 8; y = x + 8; u = o + 8; f = r + 15. If v = 8, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 16 to f, which gives f = p + 31.\n2. Substitute p = d + 6 to f, which gives f = d + 37.\n3. Substitute d = y + 15 to f, which gives f = y + 52.\n4. Substitute y = x + 8 to f, which gives f = x + 60.\n5. Substitute x = v + 4 to f, which gives f = v + 64.\n6. Substitute v = 8 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 2532,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 6; o = v + 18; x = v + 4; r = p + 16; z = q + 17; q = k + 15; d = y + 15; k = u + 19; e = z + 4; v = 8; y = x + 8; u = o + 8; f = r + 15. If v = 8, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"l": "r + 2", "q": "l + 2", "b": "q + 19", "j": "b + 16", "x": "j + 17", "e": "x + 10", "h": "r + 7", "t": "h + 3", "c": "t + 8", "f": "c + 8", "s": "f + 20", "z": "s + 12", "r": 20}, "premises": {"r": 20}, "target": "e"}, "answer": {"steps": [["x", "j + 17", "j + 27"], ["j", "b + 16", "b + 43"], ["b", "q + 19", "q + 62"], ["q", "l + 2", "l + 64"], ["l", "r + 2", "r + 66"], ["r", 20, "86"]], "target_var_name": "e", "target_value": 86, "value_dict": {"r": 20}, "is_reverse": true}}
| 2,533
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = c + 8; r = 20; z = s + 12; t = h + 3; e = x + 10; s = f + 20; b = q + 19; h = r + 7; c = t + 8; q = l + 2; l = r + 2; x = j + 17; j = b + 16. Given that r = 20, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 17 to e, which gives e = j + 27.\n2. Substitute j = b + 16 to e, which gives e = b + 43.\n3. Substitute b = q + 19 to e, which gives e = q + 62.\n4. Substitute q = l + 2 to e, which gives e = l + 64.\n5. Substitute l = r + 2 to e, which gives e = r + 66.\n6. Substitute r = 20 to e, which gives e = 86.\n\nThus, the final answer is e = \\boxed{86}.",
"index": 2533,
"question": "Suppose a collection of variables is related by the following definitions: f = c + 8; r = 20; z = s + 12; t = h + 3; e = x + 10; s = f + 20; b = q + 19; h = r + 7; c = t + 8; q = l + 2; l = r + 2; x = j + 17; j = b + 16. Given that r = 20, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"b": "e + 7", "m": "b + 4", "g": "m + 20", "k": "g + 14", "w": "k + 12", "s": "w + 3", "r": "e + 13", "n": "r + 10", "a": "n + 5", "l": "a + 18", "t": "l + 8", "j": "t + 20", "e": 17}, "premises": {"e": 17}, "target": "s"}, "answer": {"steps": [["w", "k + 12", "k + 15"], ["k", "g + 14", "g + 29"], ["g", "m + 20", "m + 49"], ["m", "b + 4", "b + 53"], ["b", "e + 7", "e + 60"], ["e", 17, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"e": 17}, "is_reverse": true}}
| 2,534
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = k + 12; e = 17; t = l + 8; a = n + 5; m = b + 4; j = t + 20; r = e + 13; n = r + 10; k = g + 14; g = m + 20; l = a + 18; s = w + 3; b = e + 7. Given that e = 17, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 12 to s, which gives s = k + 15.\n2. Substitute k = g + 14 to s, which gives s = g + 29.\n3. Substitute g = m + 20 to s, which gives s = m + 49.\n4. Substitute m = b + 4 to s, which gives s = b + 53.\n5. Substitute b = e + 7 to s, which gives s = e + 60.\n6. Substitute e = 17 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 2534,
"question": "Suppose a collection of variables is related by the following definitions: w = k + 12; e = 17; t = l + 8; a = n + 5; m = b + 4; j = t + 20; r = e + 13; n = r + 10; k = g + 14; g = m + 20; l = a + 18; s = w + 3; b = e + 7. Given that e = 17, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"k": "i + 18", "e": "k + 11", "v": "e + 13", "d": "v + 7", "n": "d + 8", "g": "n + 7", "y": "i + 14", "l": "y + 3", "b": "l + 20", "w": "b + 4", "p": "w + 1", "t": "p + 6", "i": 10}, "premises": {"i": 10}, "target": "g"}, "answer": {"steps": [["n", "d + 8", "d + 15"], ["d", "v + 7", "v + 22"], ["v", "e + 13", "e + 35"], ["e", "k + 11", "k + 46"], ["k", "i + 18", "i + 64"], ["i", 10, "74"]], "target_var_name": "g", "target_value": 74, "value_dict": {"i": 10}, "is_reverse": true}}
| 2,535
| 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 = d + 8; l = y + 3; t = p + 6; w = b + 4; v = e + 13; p = w + 1; d = v + 7; e = k + 11; b = l + 20; i = 10; k = i + 18; g = n + 7; y = i + 14. If i = 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 n = d + 8 to g, which gives g = d + 15.\n2. Substitute d = v + 7 to g, which gives g = v + 22.\n3. Substitute v = e + 13 to g, which gives g = e + 35.\n4. Substitute e = k + 11 to g, which gives g = k + 46.\n5. Substitute k = i + 18 to g, which gives g = i + 64.\n6. Substitute i = 10 to g, which gives g = 74.\n\nThus, the final answer is g = \\boxed{74}.",
"index": 2535,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = d + 8; l = y + 3; t = p + 6; w = b + 4; v = e + 13; p = w + 1; d = v + 7; e = k + 11; b = l + 20; i = 10; k = i + 18; g = n + 7; y = i + 14. If i = 10, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"c": "h + 20", "q": "c + 16", "w": "q + 16", "g": "w + 20", "m": "g + 9", "x": "m + 3", "r": "h + 1", "z": "r + 3", "o": "z + 18", "f": "o + 10", "n": "f + 9", "a": "n + 15", "h": 1}, "premises": {"h": 1}, "target": "x"}, "answer": {"steps": [["m", "g + 9", "g + 12"], ["g", "w + 20", "w + 32"], ["w", "q + 16", "q + 48"], ["q", "c + 16", "c + 64"], ["c", "h + 20", "h + 84"], ["h", 1, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"h": 1}, "is_reverse": true}}
| 2,536
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = f + 9; z = r + 3; w = q + 16; q = c + 16; g = w + 20; r = h + 1; c = h + 20; o = z + 18; f = o + 10; x = m + 3; m = g + 9; a = n + 15; h = 1. Given that h = 1, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 9 to x, which gives x = g + 12.\n2. Substitute g = w + 20 to x, which gives x = w + 32.\n3. Substitute w = q + 16 to x, which gives x = q + 48.\n4. Substitute q = c + 16 to x, which gives x = c + 64.\n5. Substitute c = h + 20 to x, which gives x = h + 84.\n6. Substitute h = 1 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 2536,
"question": "Suppose a collection of variables is related by the following definitions: n = f + 9; z = r + 3; w = q + 16; q = c + 16; g = w + 20; r = h + 1; c = h + 20; o = z + 18; f = o + 10; x = m + 3; m = g + 9; a = n + 15; h = 1. Given that h = 1, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"n": "p + 14", "h": "n + 16", "w": "h + 18", "v": "w + 3", "c": "v + 15", "a": "c + 11", "s": "p + 16", "i": "s + 4", "m": "i + 1", "d": "m + 11", "o": "d + 17", "b": "o + 1", "p": 2}, "premises": {"p": 2}, "target": "a"}, "answer": {"steps": [["c", "v + 15", "v + 26"], ["v", "w + 3", "w + 29"], ["w", "h + 18", "h + 47"], ["h", "n + 16", "n + 63"], ["n", "p + 14", "p + 77"], ["p", 2, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"p": 2}, "is_reverse": true}}
| 2,537
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = m + 11; c = v + 15; w = h + 18; o = d + 17; s = p + 16; m = i + 1; h = n + 16; v = w + 3; p = 2; b = o + 1; i = s + 4; a = c + 11; n = p + 14. Given that p = 2, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 15 to a, which gives a = v + 26.\n2. Substitute v = w + 3 to a, which gives a = w + 29.\n3. Substitute w = h + 18 to a, which gives a = h + 47.\n4. Substitute h = n + 16 to a, which gives a = n + 63.\n5. Substitute n = p + 14 to a, which gives a = p + 77.\n6. Substitute p = 2 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 2537,
"question": "Suppose a collection of variables is related by the following definitions: d = m + 11; c = v + 15; w = h + 18; o = d + 17; s = p + 16; m = i + 1; h = n + 16; v = w + 3; p = 2; b = o + 1; i = s + 4; a = c + 11; n = p + 14. Given that p = 2, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"r": "j + 10", "i": "r + 17", "o": "i + 3", "l": "o + 17", "e": "l + 18", "h": "e + 14", "t": "j + 14", "d": "t + 16", "y": "d + 20", "v": "y + 17", "w": "v + 8", "g": "w + 5", "j": 19}, "premises": {"j": 19}, "target": "h"}, "answer": {"steps": [["e", "l + 18", "l + 32"], ["l", "o + 17", "o + 49"], ["o", "i + 3", "i + 52"], ["i", "r + 17", "r + 69"], ["r", "j + 10", "j + 79"], ["j", 19, "98"]], "target_var_name": "h", "target_value": 98, "value_dict": {"j": 19}, "is_reverse": true}}
| 2,538
| 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 = r + 17; e = l + 18; w = v + 8; r = j + 10; d = t + 16; t = j + 14; o = i + 3; j = 19; v = y + 17; h = e + 14; l = o + 17; y = d + 20; g = w + 5. If j = 19, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 18 to h, which gives h = l + 32.\n2. Substitute l = o + 17 to h, which gives h = o + 49.\n3. Substitute o = i + 3 to h, which gives h = i + 52.\n4. Substitute i = r + 17 to h, which gives h = r + 69.\n5. Substitute r = j + 10 to h, which gives h = j + 79.\n6. Substitute j = 19 to h, which gives h = 98.\n\nThus, the final answer is h = \\boxed{98}.",
"index": 2538,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 17; e = l + 18; w = v + 8; r = j + 10; d = t + 16; t = j + 14; o = i + 3; j = 19; v = y + 17; h = e + 14; l = o + 17; y = d + 20; g = w + 5. If j = 19, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"o": "n + 13", "c": "o + 11", "v": "c + 2", "k": "v + 13", "r": "k + 2", "d": "r + 1", "f": "n + 9", "g": "f + 5", "x": "g + 20", "q": "x + 18", "h": "q + 2", "e": "h + 9", "n": 12}, "premises": {"n": 12}, "target": "d"}, "answer": {"steps": [["r", "k + 2", "k + 3"], ["k", "v + 13", "v + 16"], ["v", "c + 2", "c + 18"], ["c", "o + 11", "o + 29"], ["o", "n + 13", "n + 42"], ["n", 12, "54"]], "target_var_name": "d", "target_value": 54, "value_dict": {"n": 12}, "is_reverse": true}}
| 2,539
| 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 = k + 2; x = g + 20; v = c + 2; e = h + 9; c = o + 11; d = r + 1; g = f + 5; f = n + 9; n = 12; q = x + 18; k = v + 13; o = n + 13; h = q + 2. If n = 12, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 2 to d, which gives d = k + 3.\n2. Substitute k = v + 13 to d, which gives d = v + 16.\n3. Substitute v = c + 2 to d, which gives d = c + 18.\n4. Substitute c = o + 11 to d, which gives d = o + 29.\n5. Substitute o = n + 13 to d, which gives d = n + 42.\n6. Substitute n = 12 to d, which gives d = 54.\n\nThus, the final answer is d = \\boxed{54}.",
"index": 2539,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 2; x = g + 20; v = c + 2; e = h + 9; c = o + 11; d = r + 1; g = f + 5; f = n + 9; n = 12; q = x + 18; k = v + 13; o = n + 13; h = q + 2. If n = 12, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"k": "o + 14", "y": "k + 13", "a": "y + 19", "v": "a + 6", "f": "v + 13", "u": "f + 12", "l": "o + 4", "b": "l + 5", "g": "b + 17", "p": "g + 16", "r": "p + 20", "q": "r + 19", "o": 6}, "premises": {"o": 6}, "target": "u"}, "answer": {"steps": [["f", "v + 13", "v + 25"], ["v", "a + 6", "a + 31"], ["a", "y + 19", "y + 50"], ["y", "k + 13", "k + 63"], ["k", "o + 14", "o + 77"], ["o", 6, "83"]], "target_var_name": "u", "target_value": 83, "value_dict": {"o": 6}, "is_reverse": true}}
| 2,540
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = p + 20; y = k + 13; v = a + 6; k = o + 14; g = b + 17; u = f + 12; b = l + 5; l = o + 4; p = g + 16; f = v + 13; o = 6; q = r + 19; a = y + 19. Given that o = 6, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 13 to u, which gives u = v + 25.\n2. Substitute v = a + 6 to u, which gives u = a + 31.\n3. Substitute a = y + 19 to u, which gives u = y + 50.\n4. Substitute y = k + 13 to u, which gives u = k + 63.\n5. Substitute k = o + 14 to u, which gives u = o + 77.\n6. Substitute o = 6 to u, which gives u = 83.\n\nThus, the final answer is u = \\boxed{83}.",
"index": 2540,
"question": "Suppose a collection of variables is related by the following definitions: r = p + 20; y = k + 13; v = a + 6; k = o + 14; g = b + 17; u = f + 12; b = l + 5; l = o + 4; p = g + 16; f = v + 13; o = 6; q = r + 19; a = y + 19. Given that o = 6, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"n": "d + 5", "x": "n + 6", "z": "x + 3", "y": "z + 15", "t": "y + 5", "m": "t + 5", "q": "d + 3", "i": "q + 13", "c": "i + 19", "v": "c + 13", "p": "v + 7", "u": "p + 2", "d": 15}, "premises": {"d": 15}, "target": "m"}, "answer": {"steps": [["t", "y + 5", "y + 10"], ["y", "z + 15", "z + 25"], ["z", "x + 3", "x + 28"], ["x", "n + 6", "n + 34"], ["n", "d + 5", "d + 39"], ["d", 15, "54"]], "target_var_name": "m", "target_value": 54, "value_dict": {"d": 15}, "is_reverse": true}}
| 2,541
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = n + 6; t = y + 5; u = p + 2; v = c + 13; i = q + 13; m = t + 5; z = x + 3; q = d + 3; p = v + 7; y = z + 15; n = d + 5; c = i + 19; d = 15. If d = 15, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 5 to m, which gives m = y + 10.\n2. Substitute y = z + 15 to m, which gives m = z + 25.\n3. Substitute z = x + 3 to m, which gives m = x + 28.\n4. Substitute x = n + 6 to m, which gives m = n + 34.\n5. Substitute n = d + 5 to m, which gives m = d + 39.\n6. Substitute d = 15 to m, which gives m = 54.\n\nThus, the final answer is m = \\boxed{54}.",
"index": 2541,
"question": "Consider a system of variables where each variable is defined as follows: x = n + 6; t = y + 5; u = p + 2; v = c + 13; i = q + 13; m = t + 5; z = x + 3; q = d + 3; p = v + 7; y = z + 15; n = d + 5; c = i + 19; d = 15. If d = 15, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"s": "f + 11", "r": "s + 7", "y": "r + 4", "w": "y + 16", "v": "w + 7", "c": "v + 3", "t": "f + 2", "m": "t + 5", "o": "m + 12", "d": "o + 8", "h": "d + 9", "q": "h + 20", "f": 14}, "premises": {"f": 14}, "target": "c"}, "answer": {"steps": [["v", "w + 7", "w + 10"], ["w", "y + 16", "y + 26"], ["y", "r + 4", "r + 30"], ["r", "s + 7", "s + 37"], ["s", "f + 11", "f + 48"], ["f", 14, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"f": 14}, "is_reverse": true}}
| 2,542
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = y + 16; o = m + 12; y = r + 4; r = s + 7; t = f + 2; q = h + 20; v = w + 7; h = d + 9; d = o + 8; s = f + 11; c = v + 3; m = t + 5; f = 14. Given that f = 14, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 7 to c, which gives c = w + 10.\n2. Substitute w = y + 16 to c, which gives c = y + 26.\n3. Substitute y = r + 4 to c, which gives c = r + 30.\n4. Substitute r = s + 7 to c, which gives c = s + 37.\n5. Substitute s = f + 11 to c, which gives c = f + 48.\n6. Substitute f = 14 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 2542,
"question": "Suppose a collection of variables is related by the following definitions: w = y + 16; o = m + 12; y = r + 4; r = s + 7; t = f + 2; q = h + 20; v = w + 7; h = d + 9; d = o + 8; s = f + 11; c = v + 3; m = t + 5; f = 14. Given that f = 14, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"f": "u + 6", "a": "f + 19", "t": "a + 17", "i": "t + 11", "c": "i + 17", "d": "c + 6", "p": "u + 20", "j": "p + 8", "k": "j + 7", "n": "k + 15", "w": "n + 18", "o": "w + 20", "u": 17}, "premises": {"u": 17}, "target": "d"}, "answer": {"steps": [["c", "i + 17", "i + 23"], ["i", "t + 11", "t + 34"], ["t", "a + 17", "a + 51"], ["a", "f + 19", "f + 70"], ["f", "u + 6", "u + 76"], ["u", 17, "93"]], "target_var_name": "d", "target_value": 93, "value_dict": {"u": 17}, "is_reverse": true}}
| 2,543
| 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 = u + 20; c = i + 17; k = j + 7; f = u + 6; u = 17; j = p + 8; w = n + 18; t = a + 17; a = f + 19; i = t + 11; d = c + 6; n = k + 15; o = w + 20. If u = 17, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 17 to d, which gives d = i + 23.\n2. Substitute i = t + 11 to d, which gives d = t + 34.\n3. Substitute t = a + 17 to d, which gives d = a + 51.\n4. Substitute a = f + 19 to d, which gives d = f + 70.\n5. Substitute f = u + 6 to d, which gives d = u + 76.\n6. Substitute u = 17 to d, which gives d = 93.\n\nThus, the final answer is d = \\boxed{93}.",
"index": 2543,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 20; c = i + 17; k = j + 7; f = u + 6; u = 17; j = p + 8; w = n + 18; t = a + 17; a = f + 19; i = t + 11; d = c + 6; n = k + 15; o = w + 20. If u = 17, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"j": "w + 19", "i": "j + 1", "o": "i + 4", "y": "o + 2", "k": "y + 5", "g": "k + 11", "x": "w + 9", "t": "x + 10", "q": "t + 6", "l": "q + 5", "n": "l + 13", "v": "n + 11", "w": 13}, "premises": {"w": 13}, "target": "g"}, "answer": {"steps": [["k", "y + 5", "y + 16"], ["y", "o + 2", "o + 18"], ["o", "i + 4", "i + 22"], ["i", "j + 1", "j + 23"], ["j", "w + 19", "w + 42"], ["w", 13, "55"]], "target_var_name": "g", "target_value": 55, "value_dict": {"w": 13}, "is_reverse": true}}
| 2,544
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = i + 4; i = j + 1; v = n + 11; y = o + 2; g = k + 11; w = 13; l = q + 5; n = l + 13; t = x + 10; j = w + 19; k = y + 5; q = t + 6; x = w + 9. Given that w = 13, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 5 to g, which gives g = y + 16.\n2. Substitute y = o + 2 to g, which gives g = o + 18.\n3. Substitute o = i + 4 to g, which gives g = i + 22.\n4. Substitute i = j + 1 to g, which gives g = j + 23.\n5. Substitute j = w + 19 to g, which gives g = w + 42.\n6. Substitute w = 13 to g, which gives g = 55.\n\nThus, the final answer is g = \\boxed{55}.",
"index": 2544,
"question": "Suppose a collection of variables is related by the following definitions: o = i + 4; i = j + 1; v = n + 11; y = o + 2; g = k + 11; w = 13; l = q + 5; n = l + 13; t = x + 10; j = w + 19; k = y + 5; q = t + 6; x = w + 9. Given that w = 13, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"u": "q + 1", "l": "u + 12", "e": "l + 4", "t": "e + 13", "r": "t + 2", "g": "r + 20", "y": "q + 6", "d": "y + 7", "w": "d + 19", "h": "w + 10", "k": "h + 14", "i": "k + 1", "q": 12}, "premises": {"q": 12}, "target": "g"}, "answer": {"steps": [["r", "t + 2", "t + 22"], ["t", "e + 13", "e + 35"], ["e", "l + 4", "l + 39"], ["l", "u + 12", "u + 51"], ["u", "q + 1", "q + 52"], ["q", 12, "64"]], "target_var_name": "g", "target_value": 64, "value_dict": {"q": 12}, "is_reverse": true}}
| 2,545
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = e + 13; d = y + 7; e = l + 4; r = t + 2; q = 12; g = r + 20; h = w + 10; y = q + 6; i = k + 1; w = d + 19; k = h + 14; u = q + 1; l = u + 12. If q = 12, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 2 to g, which gives g = t + 22.\n2. Substitute t = e + 13 to g, which gives g = e + 35.\n3. Substitute e = l + 4 to g, which gives g = l + 39.\n4. Substitute l = u + 12 to g, which gives g = u + 51.\n5. Substitute u = q + 1 to g, which gives g = q + 52.\n6. Substitute q = 12 to g, which gives g = 64.\n\nThus, the final answer is g = \\boxed{64}.",
"index": 2545,
"question": "Consider a system of variables where each variable is defined as follows: t = e + 13; d = y + 7; e = l + 4; r = t + 2; q = 12; g = r + 20; h = w + 10; y = q + 6; i = k + 1; w = d + 19; k = h + 14; u = q + 1; l = u + 12. If q = 12, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"r": "l + 18", "u": "r + 18", "w": "u + 17", "i": "w + 18", "z": "i + 2", "y": "z + 5", "v": "l + 10", "m": "v + 18", "d": "m + 16", "c": "d + 20", "s": "c + 12", "x": "s + 9", "l": 12}, "premises": {"l": 12}, "target": "y"}, "answer": {"steps": [["z", "i + 2", "i + 7"], ["i", "w + 18", "w + 25"], ["w", "u + 17", "u + 42"], ["u", "r + 18", "r + 60"], ["r", "l + 18", "l + 78"], ["l", 12, "90"]], "target_var_name": "y", "target_value": 90, "value_dict": {"l": 12}, "is_reverse": true}}
| 2,546
| 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 = d + 20; i = w + 18; r = l + 18; l = 12; z = i + 2; w = u + 17; u = r + 18; x = s + 9; m = v + 18; d = m + 16; v = l + 10; y = z + 5; s = c + 12. If l = 12, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 2 to y, which gives y = i + 7.\n2. Substitute i = w + 18 to y, which gives y = w + 25.\n3. Substitute w = u + 17 to y, which gives y = u + 42.\n4. Substitute u = r + 18 to y, which gives y = r + 60.\n5. Substitute r = l + 18 to y, which gives y = l + 78.\n6. Substitute l = 12 to y, which gives y = 90.\n\nThus, the final answer is y = \\boxed{90}.",
"index": 2546,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = d + 20; i = w + 18; r = l + 18; l = 12; z = i + 2; w = u + 17; u = r + 18; x = s + 9; m = v + 18; d = m + 16; v = l + 10; y = z + 5; s = c + 12. If l = 12, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"j": "g + 18", "q": "j + 4", "l": "q + 1", "h": "l + 9", "i": "h + 1", "x": "i + 8", "z": "g + 2", "a": "z + 4", "d": "a + 11", "v": "d + 15", "k": "v + 12", "m": "k + 14", "g": 2}, "premises": {"g": 2}, "target": "x"}, "answer": {"steps": [["i", "h + 1", "h + 9"], ["h", "l + 9", "l + 18"], ["l", "q + 1", "q + 19"], ["q", "j + 4", "j + 23"], ["j", "g + 18", "g + 41"], ["g", 2, "43"]], "target_var_name": "x", "target_value": 43, "value_dict": {"g": 2}, "is_reverse": true}}
| 2,547
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = l + 9; q = j + 4; z = g + 2; x = i + 8; i = h + 1; l = q + 1; d = a + 11; k = v + 12; g = 2; m = k + 14; a = z + 4; v = d + 15; j = g + 18. Given that g = 2, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 1 to x, which gives x = h + 9.\n2. Substitute h = l + 9 to x, which gives x = l + 18.\n3. Substitute l = q + 1 to x, which gives x = q + 19.\n4. Substitute q = j + 4 to x, which gives x = j + 23.\n5. Substitute j = g + 18 to x, which gives x = g + 41.\n6. Substitute g = 2 to x, which gives x = 43.\n\nThus, the final answer is x = \\boxed{43}.",
"index": 2547,
"question": "Suppose a collection of variables is related by the following definitions: h = l + 9; q = j + 4; z = g + 2; x = i + 8; i = h + 1; l = q + 1; d = a + 11; k = v + 12; g = 2; m = k + 14; a = z + 4; v = d + 15; j = g + 18. Given that g = 2, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"d": "q + 3", "z": "d + 8", "x": "z + 7", "s": "x + 18", "c": "s + 8", "b": "c + 18", "l": "q + 18", "i": "l + 13", "r": "i + 18", "v": "r + 19", "u": "v + 19", "m": "u + 4", "q": 16}, "premises": {"q": 16}, "target": "b"}, "answer": {"steps": [["c", "s + 8", "s + 26"], ["s", "x + 18", "x + 44"], ["x", "z + 7", "z + 51"], ["z", "d + 8", "d + 59"], ["d", "q + 3", "q + 62"], ["q", 16, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"q": 16}, "is_reverse": true}}
| 2,548
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = q + 3; i = l + 13; u = v + 19; x = z + 7; z = d + 8; s = x + 18; b = c + 18; q = 16; c = s + 8; r = i + 18; l = q + 18; v = r + 19; m = u + 4. If q = 16, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 8 to b, which gives b = s + 26.\n2. Substitute s = x + 18 to b, which gives b = x + 44.\n3. Substitute x = z + 7 to b, which gives b = z + 51.\n4. Substitute z = d + 8 to b, which gives b = d + 59.\n5. Substitute d = q + 3 to b, which gives b = q + 62.\n6. Substitute q = 16 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 2548,
"question": "Consider a system of variables where each variable is defined as follows: d = q + 3; i = l + 13; u = v + 19; x = z + 7; z = d + 8; s = x + 18; b = c + 18; q = 16; c = s + 8; r = i + 18; l = q + 18; v = r + 19; m = u + 4. If q = 16, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"q": "c + 3", "r": "q + 7", "w": "r + 20", "t": "w + 10", "y": "t + 12", "j": "y + 15", "i": "c + 11", "d": "i + 13", "f": "d + 12", "g": "f + 5", "p": "g + 2", "x": "p + 3", "c": 13}, "premises": {"c": 13}, "target": "j"}, "answer": {"steps": [["y", "t + 12", "t + 27"], ["t", "w + 10", "w + 37"], ["w", "r + 20", "r + 57"], ["r", "q + 7", "q + 64"], ["q", "c + 3", "c + 67"], ["c", 13, "80"]], "target_var_name": "j", "target_value": 80, "value_dict": {"c": 13}, "is_reverse": true}}
| 2,549
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = d + 12; d = i + 13; x = p + 3; c = 13; j = y + 15; t = w + 10; r = q + 7; y = t + 12; g = f + 5; w = r + 20; i = c + 11; q = c + 3; p = g + 2. Given that c = 13, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 12 to j, which gives j = t + 27.\n2. Substitute t = w + 10 to j, which gives j = w + 37.\n3. Substitute w = r + 20 to j, which gives j = r + 57.\n4. Substitute r = q + 7 to j, which gives j = q + 64.\n5. Substitute q = c + 3 to j, which gives j = c + 67.\n6. Substitute c = 13 to j, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 2549,
"question": "Suppose a collection of variables is related by the following definitions: f = d + 12; d = i + 13; x = p + 3; c = 13; j = y + 15; t = w + 10; r = q + 7; y = t + 12; g = f + 5; w = r + 20; i = c + 11; q = c + 3; p = g + 2. Given that c = 13, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"p": "g + 4", "k": "p + 17", "l": "k + 15", "d": "l + 4", "e": "d + 20", "i": "e + 17", "q": "g + 13", "u": "q + 6", "m": "u + 19", "r": "m + 18", "x": "r + 4", "o": "x + 13", "g": 7}, "premises": {"g": 7}, "target": "i"}, "answer": {"steps": [["e", "d + 20", "d + 37"], ["d", "l + 4", "l + 41"], ["l", "k + 15", "k + 56"], ["k", "p + 17", "p + 73"], ["p", "g + 4", "g + 77"], ["g", 7, "84"]], "target_var_name": "i", "target_value": 84, "value_dict": {"g": 7}, "is_reverse": true}}
| 2,550
| 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 = e + 17; d = l + 4; q = g + 13; l = k + 15; u = q + 6; g = 7; m = u + 19; k = p + 17; r = m + 18; o = x + 13; x = r + 4; p = g + 4; e = d + 20. If g = 7, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 20 to i, which gives i = d + 37.\n2. Substitute d = l + 4 to i, which gives i = l + 41.\n3. Substitute l = k + 15 to i, which gives i = k + 56.\n4. Substitute k = p + 17 to i, which gives i = p + 73.\n5. Substitute p = g + 4 to i, which gives i = g + 77.\n6. Substitute g = 7 to i, which gives i = 84.\n\nThus, the final answer is i = \\boxed{84}.",
"index": 2550,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 17; d = l + 4; q = g + 13; l = k + 15; u = q + 6; g = 7; m = u + 19; k = p + 17; r = m + 18; o = x + 13; x = r + 4; p = g + 4; e = d + 20. If g = 7, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"j": "a + 7", "e": "j + 8", "u": "e + 2", "d": "u + 3", "t": "d + 4", "f": "t + 14", "y": "a + 10", "r": "y + 20", "c": "r + 7", "g": "c + 3", "b": "g + 7", "v": "b + 18", "a": 20}, "premises": {"a": 20}, "target": "f"}, "answer": {"steps": [["t", "d + 4", "d + 18"], ["d", "u + 3", "u + 21"], ["u", "e + 2", "e + 23"], ["e", "j + 8", "j + 31"], ["j", "a + 7", "a + 38"], ["a", 20, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"a": 20}, "is_reverse": true}}
| 2,551
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = b + 18; u = e + 2; g = c + 3; d = u + 3; t = d + 4; c = r + 7; b = g + 7; e = j + 8; j = a + 7; r = y + 20; y = a + 10; f = t + 14; a = 20. Given that a = 20, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 4 to f, which gives f = d + 18.\n2. Substitute d = u + 3 to f, which gives f = u + 21.\n3. Substitute u = e + 2 to f, which gives f = e + 23.\n4. Substitute e = j + 8 to f, which gives f = j + 31.\n5. Substitute j = a + 7 to f, which gives f = a + 38.\n6. Substitute a = 20 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 2551,
"question": "Suppose a collection of variables is related by the following definitions: v = b + 18; u = e + 2; g = c + 3; d = u + 3; t = d + 4; c = r + 7; b = g + 7; e = j + 8; j = a + 7; r = y + 20; y = a + 10; f = t + 14; a = 20. Given that a = 20, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"r": "z + 15", "g": "r + 6", "p": "g + 11", "v": "p + 18", "m": "v + 13", "s": "m + 9", "x": "z + 10", "q": "x + 4", "c": "q + 16", "t": "c + 5", "k": "t + 3", "y": "k + 11", "z": 20}, "premises": {"z": 20}, "target": "s"}, "answer": {"steps": [["m", "v + 13", "v + 22"], ["v", "p + 18", "p + 40"], ["p", "g + 11", "g + 51"], ["g", "r + 6", "r + 57"], ["r", "z + 15", "z + 72"], ["z", 20, "92"]], "target_var_name": "s", "target_value": 92, "value_dict": {"z": 20}, "is_reverse": true}}
| 2,552
| 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 = q + 16; k = t + 3; m = v + 13; r = z + 15; q = x + 4; p = g + 11; t = c + 5; v = p + 18; y = k + 11; x = z + 10; z = 20; g = r + 6; s = m + 9. If z = 20, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 13 to s, which gives s = v + 22.\n2. Substitute v = p + 18 to s, which gives s = p + 40.\n3. Substitute p = g + 11 to s, which gives s = g + 51.\n4. Substitute g = r + 6 to s, which gives s = r + 57.\n5. Substitute r = z + 15 to s, which gives s = z + 72.\n6. Substitute z = 20 to s, which gives s = 92.\n\nThus, the final answer is s = \\boxed{92}.",
"index": 2552,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 16; k = t + 3; m = v + 13; r = z + 15; q = x + 4; p = g + 11; t = c + 5; v = p + 18; y = k + 11; x = z + 10; z = 20; g = r + 6; s = m + 9. If z = 20, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"g": "v + 7", "q": "g + 19", "x": "q + 4", "s": "x + 7", "w": "s + 7", "b": "w + 6", "j": "v + 20", "n": "j + 10", "p": "n + 19", "k": "p + 3", "m": "k + 15", "u": "m + 3", "v": 17}, "premises": {"v": 17}, "target": "b"}, "answer": {"steps": [["w", "s + 7", "s + 13"], ["s", "x + 7", "x + 20"], ["x", "q + 4", "q + 24"], ["q", "g + 19", "g + 43"], ["g", "v + 7", "v + 50"], ["v", 17, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"v": 17}, "is_reverse": true}}
| 2,553
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = m + 3; j = v + 20; x = q + 4; m = k + 15; b = w + 6; k = p + 3; v = 17; w = s + 7; p = n + 19; n = j + 10; s = x + 7; q = g + 19; g = v + 7. If v = 17, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 7 to b, which gives b = s + 13.\n2. Substitute s = x + 7 to b, which gives b = x + 20.\n3. Substitute x = q + 4 to b, which gives b = q + 24.\n4. Substitute q = g + 19 to b, which gives b = g + 43.\n5. Substitute g = v + 7 to b, which gives b = v + 50.\n6. Substitute v = 17 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 2553,
"question": "Consider a system of variables where each variable is defined as follows: u = m + 3; j = v + 20; x = q + 4; m = k + 15; b = w + 6; k = p + 3; v = 17; w = s + 7; p = n + 19; n = j + 10; s = x + 7; q = g + 19; g = v + 7. If v = 17, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"u": "v + 7", "p": "u + 20", "i": "p + 8", "o": "i + 9", "s": "o + 9", "r": "s + 16", "a": "v + 7", "c": "a + 9", "t": "c + 19", "f": "t + 9", "q": "f + 8", "e": "q + 5", "v": 13}, "premises": {"v": 13}, "target": "r"}, "answer": {"steps": [["s", "o + 9", "o + 25"], ["o", "i + 9", "i + 34"], ["i", "p + 8", "p + 42"], ["p", "u + 20", "u + 62"], ["u", "v + 7", "v + 69"], ["v", 13, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"v": 13}, "is_reverse": true}}
| 2,554
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = u + 20; t = c + 19; u = v + 7; r = s + 16; o = i + 9; e = q + 5; v = 13; c = a + 9; s = o + 9; q = f + 8; f = t + 9; i = p + 8; a = v + 7. Given that v = 13, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 9 to r, which gives r = o + 25.\n2. Substitute o = i + 9 to r, which gives r = i + 34.\n3. Substitute i = p + 8 to r, which gives r = p + 42.\n4. Substitute p = u + 20 to r, which gives r = u + 62.\n5. Substitute u = v + 7 to r, which gives r = v + 69.\n6. Substitute v = 13 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 2554,
"question": "Suppose a collection of variables is related by the following definitions: p = u + 20; t = c + 19; u = v + 7; r = s + 16; o = i + 9; e = q + 5; v = 13; c = a + 9; s = o + 9; q = f + 8; f = t + 9; i = p + 8; a = v + 7. Given that v = 13, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 14", "p": "c + 7", "y": "p + 1", "i": "y + 5", "z": "i + 18", "f": "z + 7", "u": "r + 15", "g": "u + 17", "j": "g + 10", "b": "j + 10", "a": "b + 15", "l": "a + 18", "r": 13}, "premises": {"r": 13}, "target": "f"}, "answer": {"steps": [["z", "i + 18", "i + 25"], ["i", "y + 5", "y + 30"], ["y", "p + 1", "p + 31"], ["p", "c + 7", "c + 38"], ["c", "r + 14", "r + 52"], ["r", 13, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"r": 13}, "is_reverse": true}}
| 2,555
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = g + 10; p = c + 7; l = a + 18; r = 13; a = b + 15; c = r + 14; z = i + 18; u = r + 15; y = p + 1; b = j + 10; i = y + 5; f = z + 7; g = u + 17. If r = 13, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 18 to f, which gives f = i + 25.\n2. Substitute i = y + 5 to f, which gives f = y + 30.\n3. Substitute y = p + 1 to f, which gives f = p + 31.\n4. Substitute p = c + 7 to f, which gives f = c + 38.\n5. Substitute c = r + 14 to f, which gives f = r + 52.\n6. Substitute r = 13 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 2555,
"question": "Consider a system of variables where each variable is defined as follows: j = g + 10; p = c + 7; l = a + 18; r = 13; a = b + 15; c = r + 14; z = i + 18; u = r + 15; y = p + 1; b = j + 10; i = y + 5; f = z + 7; g = u + 17. If r = 13, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"x": "y + 5", "c": "x + 3", "z": "c + 18", "n": "z + 17", "u": "n + 9", "h": "u + 7", "m": "y + 16", "e": "m + 3", "a": "e + 18", "j": "a + 18", "d": "j + 6", "b": "d + 16", "y": 19}, "premises": {"y": 19}, "target": "h"}, "answer": {"steps": [["u", "n + 9", "n + 16"], ["n", "z + 17", "z + 33"], ["z", "c + 18", "c + 51"], ["c", "x + 3", "x + 54"], ["x", "y + 5", "y + 59"], ["y", 19, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"y": 19}, "is_reverse": true}}
| 2,556
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = u + 7; a = e + 18; d = j + 6; n = z + 17; e = m + 3; x = y + 5; u = n + 9; y = 19; z = c + 18; c = x + 3; j = a + 18; m = y + 16; b = d + 16. If y = 19, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 9 to h, which gives h = n + 16.\n2. Substitute n = z + 17 to h, which gives h = z + 33.\n3. Substitute z = c + 18 to h, which gives h = c + 51.\n4. Substitute c = x + 3 to h, which gives h = x + 54.\n5. Substitute x = y + 5 to h, which gives h = y + 59.\n6. Substitute y = 19 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 2556,
"question": "Consider a system of variables where each variable is defined as follows: h = u + 7; a = e + 18; d = j + 6; n = z + 17; e = m + 3; x = y + 5; u = n + 9; y = 19; z = c + 18; c = x + 3; j = a + 18; m = y + 16; b = d + 16. If y = 19, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"k": "b + 12", "v": "k + 16", "a": "v + 13", "d": "a + 9", "e": "d + 1", "t": "e + 6", "g": "b + 9", "y": "g + 10", "p": "y + 14", "l": "p + 12", "h": "l + 9", "f": "h + 3", "b": 2}, "premises": {"b": 2}, "target": "t"}, "answer": {"steps": [["e", "d + 1", "d + 7"], ["d", "a + 9", "a + 16"], ["a", "v + 13", "v + 29"], ["v", "k + 16", "k + 45"], ["k", "b + 12", "b + 57"], ["b", 2, "59"]], "target_var_name": "t", "target_value": 59, "value_dict": {"b": 2}, "is_reverse": true}}
| 2,557
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = b + 9; d = a + 9; b = 2; h = l + 9; y = g + 10; e = d + 1; l = p + 12; k = b + 12; f = h + 3; t = e + 6; a = v + 13; v = k + 16; p = y + 14. If b = 2, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 1 to t, which gives t = d + 7.\n2. Substitute d = a + 9 to t, which gives t = a + 16.\n3. Substitute a = v + 13 to t, which gives t = v + 29.\n4. Substitute v = k + 16 to t, which gives t = k + 45.\n5. Substitute k = b + 12 to t, which gives t = b + 57.\n6. Substitute b = 2 to t, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 2557,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = b + 9; d = a + 9; b = 2; h = l + 9; y = g + 10; e = d + 1; l = p + 12; k = b + 12; f = h + 3; t = e + 6; a = v + 13; v = k + 16; p = y + 14. If b = 2, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"h": "a + 11", "v": "h + 7", "f": "v + 15", "c": "f + 14", "w": "c + 18", "y": "w + 7", "i": "a + 4", "g": "i + 11", "p": "g + 17", "x": "p + 4", "u": "x + 11", "m": "u + 16", "a": 3}, "premises": {"a": 3}, "target": "y"}, "answer": {"steps": [["w", "c + 18", "c + 25"], ["c", "f + 14", "f + 39"], ["f", "v + 15", "v + 54"], ["v", "h + 7", "h + 61"], ["h", "a + 11", "a + 72"], ["a", 3, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"a": 3}, "is_reverse": true}}
| 2,558
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = p + 4; u = x + 11; c = f + 14; f = v + 15; y = w + 7; m = u + 16; g = i + 11; w = c + 18; p = g + 17; v = h + 7; a = 3; i = a + 4; h = a + 11. Given that a = 3, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 18 to y, which gives y = c + 25.\n2. Substitute c = f + 14 to y, which gives y = f + 39.\n3. Substitute f = v + 15 to y, which gives y = v + 54.\n4. Substitute v = h + 7 to y, which gives y = h + 61.\n5. Substitute h = a + 11 to y, which gives y = a + 72.\n6. Substitute a = 3 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 2558,
"question": "Suppose a collection of variables is related by the following definitions: x = p + 4; u = x + 11; c = f + 14; f = v + 15; y = w + 7; m = u + 16; g = i + 11; w = c + 18; p = g + 17; v = h + 7; a = 3; i = a + 4; h = a + 11. Given that a = 3, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 17", "q": "o + 12", "c": "q + 4", "b": "c + 9", "s": "b + 13", "e": "s + 17", "z": "k + 13", "i": "z + 1", "p": "i + 9", "f": "p + 13", "t": "f + 16", "g": "t + 16", "k": 3}, "premises": {"k": 3}, "target": "e"}, "answer": {"steps": [["s", "b + 13", "b + 30"], ["b", "c + 9", "c + 39"], ["c", "q + 4", "q + 43"], ["q", "o + 12", "o + 55"], ["o", "k + 17", "k + 72"], ["k", 3, "75"]], "target_var_name": "e", "target_value": 75, "value_dict": {"k": 3}, "is_reverse": true}}
| 2,559
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = o + 12; e = s + 17; k = 3; c = q + 4; p = i + 9; g = t + 16; z = k + 13; b = c + 9; f = p + 13; t = f + 16; s = b + 13; i = z + 1; o = k + 17. Given that k = 3, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 13 to e, which gives e = b + 30.\n2. Substitute b = c + 9 to e, which gives e = c + 39.\n3. Substitute c = q + 4 to e, which gives e = q + 43.\n4. Substitute q = o + 12 to e, which gives e = o + 55.\n5. Substitute o = k + 17 to e, which gives e = k + 72.\n6. Substitute k = 3 to e, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 2559,
"question": "Suppose a collection of variables is related by the following definitions: q = o + 12; e = s + 17; k = 3; c = q + 4; p = i + 9; g = t + 16; z = k + 13; b = c + 9; f = p + 13; t = f + 16; s = b + 13; i = z + 1; o = k + 17. Given that k = 3, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"d": "w + 6", "r": "d + 17", "s": "r + 11", "n": "s + 17", "m": "n + 6", "q": "m + 17", "i": "w + 9", "b": "i + 2", "v": "b + 3", "t": "v + 11", "o": "t + 18", "u": "o + 5", "w": 2}, "premises": {"w": 2}, "target": "q"}, "answer": {"steps": [["m", "n + 6", "n + 23"], ["n", "s + 17", "s + 40"], ["s", "r + 11", "r + 51"], ["r", "d + 17", "d + 68"], ["d", "w + 6", "w + 74"], ["w", 2, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"w": 2}, "is_reverse": true}}
| 2,560
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = s + 17; w = 2; m = n + 6; u = o + 5; d = w + 6; o = t + 18; r = d + 17; s = r + 11; b = i + 2; i = w + 9; t = v + 11; v = b + 3; q = m + 17. Given that w = 2, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 6 to q, which gives q = n + 23.\n2. Substitute n = s + 17 to q, which gives q = s + 40.\n3. Substitute s = r + 11 to q, which gives q = r + 51.\n4. Substitute r = d + 17 to q, which gives q = d + 68.\n5. Substitute d = w + 6 to q, which gives q = w + 74.\n6. Substitute w = 2 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 2560,
"question": "Suppose a collection of variables is related by the following definitions: n = s + 17; w = 2; m = n + 6; u = o + 5; d = w + 6; o = t + 18; r = d + 17; s = r + 11; b = i + 2; i = w + 9; t = v + 11; v = b + 3; q = m + 17. Given that w = 2, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"t": "b + 4", "g": "t + 10", "f": "g + 11", "n": "f + 8", "h": "n + 8", "i": "h + 2", "v": "b + 1", "r": "v + 14", "u": "r + 18", "o": "u + 7", "x": "o + 9", "j": "x + 12", "b": 17}, "premises": {"b": 17}, "target": "i"}, "answer": {"steps": [["h", "n + 8", "n + 10"], ["n", "f + 8", "f + 18"], ["f", "g + 11", "g + 29"], ["g", "t + 10", "t + 39"], ["t", "b + 4", "b + 43"], ["b", 17, "60"]], "target_var_name": "i", "target_value": 60, "value_dict": {"b": 17}, "is_reverse": true}}
| 2,561
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 12; g = t + 10; f = g + 11; b = 17; o = u + 7; x = o + 9; i = h + 2; u = r + 18; h = n + 8; n = f + 8; v = b + 1; r = v + 14; t = b + 4. If b = 17, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 8 to i, which gives i = n + 10.\n2. Substitute n = f + 8 to i, which gives i = f + 18.\n3. Substitute f = g + 11 to i, which gives i = g + 29.\n4. Substitute g = t + 10 to i, which gives i = t + 39.\n5. Substitute t = b + 4 to i, which gives i = b + 43.\n6. Substitute b = 17 to i, which gives i = 60.\n\nThus, the final answer is i = \\boxed{60}.",
"index": 2561,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 12; g = t + 10; f = g + 11; b = 17; o = u + 7; x = o + 9; i = h + 2; u = r + 18; h = n + 8; n = f + 8; v = b + 1; r = v + 14; t = b + 4. If b = 17, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"x": "y + 13", "p": "x + 16", "j": "p + 17", "c": "j + 20", "b": "c + 15", "g": "b + 3", "t": "y + 17", "h": "t + 6", "d": "h + 8", "z": "d + 9", "q": "z + 16", "e": "q + 6", "y": 4}, "premises": {"y": 4}, "target": "g"}, "answer": {"steps": [["b", "c + 15", "c + 18"], ["c", "j + 20", "j + 38"], ["j", "p + 17", "p + 55"], ["p", "x + 16", "x + 71"], ["x", "y + 13", "y + 84"], ["y", 4, "88"]], "target_var_name": "g", "target_value": 88, "value_dict": {"y": 4}, "is_reverse": true}}
| 2,562
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = q + 6; g = b + 3; q = z + 16; y = 4; j = p + 17; t = y + 17; x = y + 13; b = c + 15; p = x + 16; h = t + 6; z = d + 9; c = j + 20; d = h + 8. If y = 4, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 15 to g, which gives g = c + 18.\n2. Substitute c = j + 20 to g, which gives g = j + 38.\n3. Substitute j = p + 17 to g, which gives g = p + 55.\n4. Substitute p = x + 16 to g, which gives g = x + 71.\n5. Substitute x = y + 13 to g, which gives g = y + 84.\n6. Substitute y = 4 to g, which gives g = 88.\n\nThus, the final answer is g = \\boxed{88}.",
"index": 2562,
"question": "Consider a system of variables where each variable is defined as follows: e = q + 6; g = b + 3; q = z + 16; y = 4; j = p + 17; t = y + 17; x = y + 13; b = c + 15; p = x + 16; h = t + 6; z = d + 9; c = j + 20; d = h + 8. If y = 4, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"o": "f + 14", "h": "o + 12", "c": "h + 3", "u": "c + 17", "y": "u + 12", "k": "y + 14", "v": "f + 7", "z": "v + 5", "b": "z + 6", "e": "b + 12", "j": "e + 16", "x": "j + 8", "f": 8}, "premises": {"f": 8}, "target": "k"}, "answer": {"steps": [["y", "u + 12", "u + 26"], ["u", "c + 17", "c + 43"], ["c", "h + 3", "h + 46"], ["h", "o + 12", "o + 58"], ["o", "f + 14", "f + 72"], ["f", 8, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"f": 8}, "is_reverse": true}}
| 2,563
| 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 = h + 3; h = o + 12; k = y + 14; v = f + 7; e = b + 12; f = 8; y = u + 12; o = f + 14; j = e + 16; u = c + 17; x = j + 8; z = v + 5; b = z + 6. If f = 8, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 12 to k, which gives k = u + 26.\n2. Substitute u = c + 17 to k, which gives k = c + 43.\n3. Substitute c = h + 3 to k, which gives k = h + 46.\n4. Substitute h = o + 12 to k, which gives k = o + 58.\n5. Substitute o = f + 14 to k, which gives k = f + 72.\n6. Substitute f = 8 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 2563,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = h + 3; h = o + 12; k = y + 14; v = f + 7; e = b + 12; f = 8; y = u + 12; o = f + 14; j = e + 16; u = c + 17; x = j + 8; z = v + 5; b = z + 6. If f = 8, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"i": "d + 11", "y": "i + 16", "w": "y + 2", "p": "w + 14", "s": "p + 8", "r": "s + 4", "f": "d + 12", "n": "f + 1", "a": "n + 17", "l": "a + 10", "e": "l + 7", "z": "e + 1", "d": 5}, "premises": {"d": 5}, "target": "r"}, "answer": {"steps": [["s", "p + 8", "p + 12"], ["p", "w + 14", "w + 26"], ["w", "y + 2", "y + 28"], ["y", "i + 16", "i + 44"], ["i", "d + 11", "d + 55"], ["d", 5, "60"]], "target_var_name": "r", "target_value": 60, "value_dict": {"d": 5}, "is_reverse": true}}
| 2,564
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = e + 1; e = l + 7; l = a + 10; a = n + 17; i = d + 11; f = d + 12; y = i + 16; s = p + 8; d = 5; p = w + 14; n = f + 1; w = y + 2; r = s + 4. Given that d = 5, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 8 to r, which gives r = p + 12.\n2. Substitute p = w + 14 to r, which gives r = w + 26.\n3. Substitute w = y + 2 to r, which gives r = y + 28.\n4. Substitute y = i + 16 to r, which gives r = i + 44.\n5. Substitute i = d + 11 to r, which gives r = d + 55.\n6. Substitute d = 5 to r, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 2564,
"question": "Suppose a collection of variables is related by the following definitions: z = e + 1; e = l + 7; l = a + 10; a = n + 17; i = d + 11; f = d + 12; y = i + 16; s = p + 8; d = 5; p = w + 14; n = f + 1; w = y + 2; r = s + 4. Given that d = 5, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"o": "v + 6", "g": "o + 8", "h": "g + 8", "d": "h + 11", "j": "d + 18", "l": "j + 9", "m": "v + 7", "y": "m + 12", "b": "y + 14", "q": "b + 14", "u": "q + 20", "r": "u + 20", "v": 8}, "premises": {"v": 8}, "target": "l"}, "answer": {"steps": [["j", "d + 18", "d + 27"], ["d", "h + 11", "h + 38"], ["h", "g + 8", "g + 46"], ["g", "o + 8", "o + 54"], ["o", "v + 6", "v + 60"], ["v", 8, "68"]], "target_var_name": "l", "target_value": 68, "value_dict": {"v": 8}, "is_reverse": true}}
| 2,565
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = h + 11; v = 8; r = u + 20; b = y + 14; g = o + 8; y = m + 12; h = g + 8; l = j + 9; o = v + 6; m = v + 7; j = d + 18; q = b + 14; u = q + 20. If v = 8, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 18 to l, which gives l = d + 27.\n2. Substitute d = h + 11 to l, which gives l = h + 38.\n3. Substitute h = g + 8 to l, which gives l = g + 46.\n4. Substitute g = o + 8 to l, which gives l = o + 54.\n5. Substitute o = v + 6 to l, which gives l = v + 60.\n6. Substitute v = 8 to l, which gives l = 68.\n\nThus, the final answer is l = \\boxed{68}.",
"index": 2565,
"question": "Consider a system of variables where each variable is defined as follows: d = h + 11; v = 8; r = u + 20; b = y + 14; g = o + 8; y = m + 12; h = g + 8; l = j + 9; o = v + 6; m = v + 7; j = d + 18; q = b + 14; u = q + 20. If v = 8, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"c": "h + 14", "e": "c + 13", "m": "e + 16", "t": "m + 8", "n": "t + 17", "q": "n + 10", "v": "h + 15", "d": "v + 14", "r": "d + 19", "g": "r + 4", "l": "g + 10", "x": "l + 8", "h": 1}, "premises": {"h": 1}, "target": "q"}, "answer": {"steps": [["n", "t + 17", "t + 27"], ["t", "m + 8", "m + 35"], ["m", "e + 16", "e + 51"], ["e", "c + 13", "c + 64"], ["c", "h + 14", "h + 78"], ["h", 1, "79"]], "target_var_name": "q", "target_value": 79, "value_dict": {"h": 1}, "is_reverse": true}}
| 2,566
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = n + 10; r = d + 19; l = g + 10; t = m + 8; m = e + 16; g = r + 4; n = t + 17; h = 1; e = c + 13; v = h + 15; c = h + 14; x = l + 8; d = v + 14. Given that h = 1, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 17 to q, which gives q = t + 27.\n2. Substitute t = m + 8 to q, which gives q = m + 35.\n3. Substitute m = e + 16 to q, which gives q = e + 51.\n4. Substitute e = c + 13 to q, which gives q = c + 64.\n5. Substitute c = h + 14 to q, which gives q = h + 78.\n6. Substitute h = 1 to q, which gives q = 79.\n\nThus, the final answer is q = \\boxed{79}.",
"index": 2566,
"question": "Suppose a collection of variables is related by the following definitions: q = n + 10; r = d + 19; l = g + 10; t = m + 8; m = e + 16; g = r + 4; n = t + 17; h = 1; e = c + 13; v = h + 15; c = h + 14; x = l + 8; d = v + 14. Given that h = 1, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 14", "y": "i + 13", "z": "y + 18", "r": "z + 4", "w": "r + 1", "v": "w + 14", "p": "g + 13", "t": "p + 19", "m": "t + 11", "b": "m + 19", "s": "b + 16", "e": "s + 7", "g": 6}, "premises": {"g": 6}, "target": "v"}, "answer": {"steps": [["w", "r + 1", "r + 15"], ["r", "z + 4", "z + 19"], ["z", "y + 18", "y + 37"], ["y", "i + 13", "i + 50"], ["i", "g + 14", "g + 64"], ["g", 6, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"g": 6}, "is_reverse": true}}
| 2,567
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = i + 13; w = r + 1; b = m + 19; i = g + 14; e = s + 7; z = y + 18; r = z + 4; p = g + 13; t = p + 19; m = t + 11; v = w + 14; g = 6; s = b + 16. If g = 6, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 1 to v, which gives v = r + 15.\n2. Substitute r = z + 4 to v, which gives v = z + 19.\n3. Substitute z = y + 18 to v, which gives v = y + 37.\n4. Substitute y = i + 13 to v, which gives v = i + 50.\n5. Substitute i = g + 14 to v, which gives v = g + 64.\n6. Substitute g = 6 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 2567,
"question": "Consider a system of variables where each variable is defined as follows: y = i + 13; w = r + 1; b = m + 19; i = g + 14; e = s + 7; z = y + 18; r = z + 4; p = g + 13; t = p + 19; m = t + 11; v = w + 14; g = 6; s = b + 16. If g = 6, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"j": "o + 13", "s": "j + 15", "n": "s + 8", "v": "n + 14", "l": "v + 3", "x": "l + 6", "a": "o + 3", "w": "a + 13", "p": "w + 20", "h": "p + 11", "c": "h + 13", "t": "c + 16", "o": 5}, "premises": {"o": 5}, "target": "x"}, "answer": {"steps": [["l", "v + 3", "v + 9"], ["v", "n + 14", "n + 23"], ["n", "s + 8", "s + 31"], ["s", "j + 15", "j + 46"], ["j", "o + 13", "o + 59"], ["o", 5, "64"]], "target_var_name": "x", "target_value": 64, "value_dict": {"o": 5}, "is_reverse": true}}
| 2,568
| 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 = l + 6; s = j + 15; w = a + 13; t = c + 16; v = n + 14; p = w + 20; n = s + 8; j = o + 13; a = o + 3; c = h + 13; o = 5; h = p + 11; l = v + 3. If o = 5, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 3 to x, which gives x = v + 9.\n2. Substitute v = n + 14 to x, which gives x = n + 23.\n3. Substitute n = s + 8 to x, which gives x = s + 31.\n4. Substitute s = j + 15 to x, which gives x = j + 46.\n5. Substitute j = o + 13 to x, which gives x = o + 59.\n6. Substitute o = 5 to x, which gives x = 64.\n\nThus, the final answer is x = \\boxed{64}.",
"index": 2568,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = l + 6; s = j + 15; w = a + 13; t = c + 16; v = n + 14; p = w + 20; n = s + 8; j = o + 13; a = o + 3; c = h + 13; o = 5; h = p + 11; l = v + 3. If o = 5, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"d": "f + 7", "p": "d + 3", "z": "p + 3", "q": "z + 3", "l": "q + 9", "c": "l + 6", "t": "f + 12", "e": "t + 15", "g": "e + 4", "s": "g + 17", "x": "s + 16", "i": "x + 12", "f": 12}, "premises": {"f": 12}, "target": "c"}, "answer": {"steps": [["l", "q + 9", "q + 15"], ["q", "z + 3", "z + 18"], ["z", "p + 3", "p + 21"], ["p", "d + 3", "d + 24"], ["d", "f + 7", "f + 31"], ["f", 12, "43"]], "target_var_name": "c", "target_value": 43, "value_dict": {"f": 12}, "is_reverse": true}}
| 2,569
| 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 = f + 7; x = s + 16; p = d + 3; l = q + 9; z = p + 3; f = 12; i = x + 12; c = l + 6; s = g + 17; g = e + 4; t = f + 12; e = t + 15; q = z + 3. If f = 12, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 9 to c, which gives c = q + 15.\n2. Substitute q = z + 3 to c, which gives c = z + 18.\n3. Substitute z = p + 3 to c, which gives c = p + 21.\n4. Substitute p = d + 3 to c, which gives c = d + 24.\n5. Substitute d = f + 7 to c, which gives c = f + 31.\n6. Substitute f = 12 to c, which gives c = 43.\n\nThus, the final answer is c = \\boxed{43}.",
"index": 2569,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = f + 7; x = s + 16; p = d + 3; l = q + 9; z = p + 3; f = 12; i = x + 12; c = l + 6; s = g + 17; g = e + 4; t = f + 12; e = t + 15; q = z + 3. If f = 12, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"d": "x + 2", "w": "d + 9", "k": "w + 14", "i": "k + 4", "y": "i + 17", "m": "y + 10", "l": "x + 5", "g": "l + 16", "p": "g + 3", "z": "p + 2", "n": "z + 12", "s": "n + 5", "x": 18}, "premises": {"x": 18}, "target": "m"}, "answer": {"steps": [["y", "i + 17", "i + 27"], ["i", "k + 4", "k + 31"], ["k", "w + 14", "w + 45"], ["w", "d + 9", "d + 54"], ["d", "x + 2", "x + 56"], ["x", 18, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"x": 18}, "is_reverse": true}}
| 2,570
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = g + 3; y = i + 17; i = k + 4; k = w + 14; z = p + 2; n = z + 12; w = d + 9; d = x + 2; x = 18; m = y + 10; g = l + 16; s = n + 5; l = x + 5. If x = 18, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 17 to m, which gives m = i + 27.\n2. Substitute i = k + 4 to m, which gives m = k + 31.\n3. Substitute k = w + 14 to m, which gives m = w + 45.\n4. Substitute w = d + 9 to m, which gives m = d + 54.\n5. Substitute d = x + 2 to m, which gives m = x + 56.\n6. Substitute x = 18 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 2570,
"question": "Consider a system of variables where each variable is defined as follows: p = g + 3; y = i + 17; i = k + 4; k = w + 14; z = p + 2; n = z + 12; w = d + 9; d = x + 2; x = 18; m = y + 10; g = l + 16; s = n + 5; l = x + 5. If x = 18, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"k": "a + 14", "g": "k + 8", "w": "g + 13", "d": "w + 15", "z": "d + 3", "m": "z + 1", "f": "a + 20", "b": "f + 17", "r": "b + 17", "y": "r + 11", "s": "y + 10", "v": "s + 6", "a": 16}, "premises": {"a": 16}, "target": "m"}, "answer": {"steps": [["z", "d + 3", "d + 4"], ["d", "w + 15", "w + 19"], ["w", "g + 13", "g + 32"], ["g", "k + 8", "k + 40"], ["k", "a + 14", "a + 54"], ["a", 16, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"a": 16}, "is_reverse": true}}
| 2,571
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = w + 15; f = a + 20; z = d + 3; b = f + 17; y = r + 11; m = z + 1; g = k + 8; v = s + 6; s = y + 10; w = g + 13; r = b + 17; a = 16; k = a + 14. Given that a = 16, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 3 to m, which gives m = d + 4.\n2. Substitute d = w + 15 to m, which gives m = w + 19.\n3. Substitute w = g + 13 to m, which gives m = g + 32.\n4. Substitute g = k + 8 to m, which gives m = k + 40.\n5. Substitute k = a + 14 to m, which gives m = a + 54.\n6. Substitute a = 16 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 2571,
"question": "Suppose a collection of variables is related by the following definitions: d = w + 15; f = a + 20; z = d + 3; b = f + 17; y = r + 11; m = z + 1; g = k + 8; v = s + 6; s = y + 10; w = g + 13; r = b + 17; a = 16; k = a + 14. Given that a = 16, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"k": "b + 10", "r": "k + 18", "t": "r + 10", "f": "t + 7", "h": "f + 18", "j": "h + 11", "o": "b + 15", "z": "o + 20", "g": "z + 20", "v": "g + 16", "l": "v + 18", "p": "l + 18", "b": 14}, "premises": {"b": 14}, "target": "j"}, "answer": {"steps": [["h", "f + 18", "f + 29"], ["f", "t + 7", "t + 36"], ["t", "r + 10", "r + 46"], ["r", "k + 18", "k + 64"], ["k", "b + 10", "b + 74"], ["b", 14, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"b": 14}, "is_reverse": true}}
| 2,572
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = v + 18; o = b + 15; t = r + 10; v = g + 16; j = h + 11; g = z + 20; z = o + 20; p = l + 18; h = f + 18; k = b + 10; b = 14; f = t + 7; r = k + 18. If b = 14, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 18 to j, which gives j = f + 29.\n2. Substitute f = t + 7 to j, which gives j = t + 36.\n3. Substitute t = r + 10 to j, which gives j = r + 46.\n4. Substitute r = k + 18 to j, which gives j = k + 64.\n5. Substitute k = b + 10 to j, which gives j = b + 74.\n6. Substitute b = 14 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 2572,
"question": "Consider a system of variables where each variable is defined as follows: l = v + 18; o = b + 15; t = r + 10; v = g + 16; j = h + 11; g = z + 20; z = o + 20; p = l + 18; h = f + 18; k = b + 10; b = 14; f = t + 7; r = k + 18. If b = 14, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"u": "y + 9", "t": "u + 5", "o": "t + 5", "d": "o + 17", "h": "d + 6", "k": "h + 17", "b": "y + 9", "v": "b + 11", "p": "v + 12", "q": "p + 13", "g": "q + 6", "r": "g + 9", "y": 2}, "premises": {"y": 2}, "target": "k"}, "answer": {"steps": [["h", "d + 6", "d + 23"], ["d", "o + 17", "o + 40"], ["o", "t + 5", "t + 45"], ["t", "u + 5", "u + 50"], ["u", "y + 9", "y + 59"], ["y", 2, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"y": 2}, "is_reverse": true}}
| 2,573
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = b + 11; p = v + 12; h = d + 6; k = h + 17; r = g + 9; d = o + 17; u = y + 9; g = q + 6; o = t + 5; b = y + 9; y = 2; t = u + 5; q = p + 13. Given that y = 2, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 6 to k, which gives k = d + 23.\n2. Substitute d = o + 17 to k, which gives k = o + 40.\n3. Substitute o = t + 5 to k, which gives k = t + 45.\n4. Substitute t = u + 5 to k, which gives k = u + 50.\n5. Substitute u = y + 9 to k, which gives k = y + 59.\n6. Substitute y = 2 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 2573,
"question": "Suppose a collection of variables is related by the following definitions: v = b + 11; p = v + 12; h = d + 6; k = h + 17; r = g + 9; d = o + 17; u = y + 9; g = q + 6; o = t + 5; b = y + 9; y = 2; t = u + 5; q = p + 13. Given that y = 2, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"t": "q + 20", "c": "t + 14", "u": "c + 14", "n": "u + 20", "o": "n + 17", "g": "o + 16", "e": "q + 18", "j": "e + 7", "i": "j + 18", "p": "i + 17", "x": "p + 4", "k": "x + 12", "q": 4}, "premises": {"q": 4}, "target": "g"}, "answer": {"steps": [["o", "n + 17", "n + 33"], ["n", "u + 20", "u + 53"], ["u", "c + 14", "c + 67"], ["c", "t + 14", "t + 81"], ["t", "q + 20", "q + 101"], ["q", 4, "105"]], "target_var_name": "g", "target_value": 105, "value_dict": {"q": 4}, "is_reverse": true}}
| 2,574
| 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 = q + 18; k = x + 12; x = p + 4; p = i + 17; c = t + 14; n = u + 20; g = o + 16; q = 4; i = j + 18; o = n + 17; u = c + 14; t = q + 20; j = e + 7. If q = 4, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 17 to g, which gives g = n + 33.\n2. Substitute n = u + 20 to g, which gives g = u + 53.\n3. Substitute u = c + 14 to g, which gives g = c + 67.\n4. Substitute c = t + 14 to g, which gives g = t + 81.\n5. Substitute t = q + 20 to g, which gives g = q + 101.\n6. Substitute q = 4 to g, which gives g = 105.\n\nThus, the final answer is g = \\boxed{105}.",
"index": 2574,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = q + 18; k = x + 12; x = p + 4; p = i + 17; c = t + 14; n = u + 20; g = o + 16; q = 4; i = j + 18; o = n + 17; u = c + 14; t = q + 20; j = e + 7. If q = 4, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"a": "r + 5", "s": "a + 9", "p": "s + 10", "d": "p + 19", "m": "d + 14", "c": "m + 8", "t": "r + 19", "w": "t + 20", "i": "w + 4", "z": "i + 15", "l": "z + 18", "g": "l + 7", "r": 3}, "premises": {"r": 3}, "target": "c"}, "answer": {"steps": [["m", "d + 14", "d + 22"], ["d", "p + 19", "p + 41"], ["p", "s + 10", "s + 51"], ["s", "a + 9", "a + 60"], ["a", "r + 5", "r + 65"], ["r", 3, "68"]], "target_var_name": "c", "target_value": 68, "value_dict": {"r": 3}, "is_reverse": true}}
| 2,575
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = z + 18; d = p + 19; p = s + 10; g = l + 7; i = w + 4; m = d + 14; t = r + 19; r = 3; c = m + 8; z = i + 15; s = a + 9; w = t + 20; a = r + 5. Given that r = 3, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 14 to c, which gives c = d + 22.\n2. Substitute d = p + 19 to c, which gives c = p + 41.\n3. Substitute p = s + 10 to c, which gives c = s + 51.\n4. Substitute s = a + 9 to c, which gives c = a + 60.\n5. Substitute a = r + 5 to c, which gives c = r + 65.\n6. Substitute r = 3 to c, which gives c = 68.\n\nThus, the final answer is c = \\boxed{68}.",
"index": 2575,
"question": "Suppose a collection of variables is related by the following definitions: l = z + 18; d = p + 19; p = s + 10; g = l + 7; i = w + 4; m = d + 14; t = r + 19; r = 3; c = m + 8; z = i + 15; s = a + 9; w = t + 20; a = r + 5. Given that r = 3, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"g": "q + 12", "h": "g + 6", "n": "h + 6", "d": "n + 17", "m": "d + 2", "c": "m + 15", "v": "q + 8", "r": "v + 17", "l": "r + 12", "w": "l + 20", "k": "w + 14", "z": "k + 18", "q": 12}, "premises": {"q": 12}, "target": "c"}, "answer": {"steps": [["m", "d + 2", "d + 17"], ["d", "n + 17", "n + 34"], ["n", "h + 6", "h + 40"], ["h", "g + 6", "g + 46"], ["g", "q + 12", "q + 58"], ["q", 12, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"q": 12}, "is_reverse": true}}
| 2,576
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = w + 14; z = k + 18; v = q + 8; l = r + 12; c = m + 15; h = g + 6; g = q + 12; n = h + 6; r = v + 17; q = 12; d = n + 17; m = d + 2; w = l + 20. If q = 12, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 2 to c, which gives c = d + 17.\n2. Substitute d = n + 17 to c, which gives c = n + 34.\n3. Substitute n = h + 6 to c, which gives c = h + 40.\n4. Substitute h = g + 6 to c, which gives c = g + 46.\n5. Substitute g = q + 12 to c, which gives c = q + 58.\n6. Substitute q = 12 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 2576,
"question": "Consider a system of variables where each variable is defined as follows: k = w + 14; z = k + 18; v = q + 8; l = r + 12; c = m + 15; h = g + 6; g = q + 12; n = h + 6; r = v + 17; q = 12; d = n + 17; m = d + 2; w = l + 20. If q = 12, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"s": "a + 5", "n": "s + 8", "i": "n + 18", "r": "i + 17", "v": "r + 10", "t": "v + 5", "g": "a + 5", "p": "g + 18", "f": "p + 5", "z": "f + 12", "b": "z + 5", "k": "b + 1", "a": 14}, "premises": {"a": 14}, "target": "t"}, "answer": {"steps": [["v", "r + 10", "r + 15"], ["r", "i + 17", "i + 32"], ["i", "n + 18", "n + 50"], ["n", "s + 8", "s + 58"], ["s", "a + 5", "a + 63"], ["a", 14, "77"]], "target_var_name": "t", "target_value": 77, "value_dict": {"a": 14}, "is_reverse": true}}
| 2,577
| 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 = a + 5; p = g + 18; k = b + 1; f = p + 5; z = f + 12; v = r + 10; i = n + 18; r = i + 17; t = v + 5; a = 14; n = s + 8; b = z + 5; g = a + 5. If a = 14, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 10 to t, which gives t = r + 15.\n2. Substitute r = i + 17 to t, which gives t = i + 32.\n3. Substitute i = n + 18 to t, which gives t = n + 50.\n4. Substitute n = s + 8 to t, which gives t = s + 58.\n5. Substitute s = a + 5 to t, which gives t = a + 63.\n6. Substitute a = 14 to t, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 2577,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 5; p = g + 18; k = b + 1; f = p + 5; z = f + 12; v = r + 10; i = n + 18; r = i + 17; t = v + 5; a = 14; n = s + 8; b = z + 5; g = a + 5. If a = 14, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"u": "f + 15", "l": "u + 9", "s": "l + 16", "i": "s + 7", "c": "i + 14", "d": "c + 9", "x": "f + 3", "w": "x + 1", "k": "w + 3", "p": "k + 3", "r": "p + 7", "j": "r + 20", "f": 5}, "premises": {"f": 5}, "target": "d"}, "answer": {"steps": [["c", "i + 14", "i + 23"], ["i", "s + 7", "s + 30"], ["s", "l + 16", "l + 46"], ["l", "u + 9", "u + 55"], ["u", "f + 15", "f + 70"], ["f", 5, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"f": 5}, "is_reverse": true}}
| 2,578
| 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 = k + 3; c = i + 14; s = l + 16; l = u + 9; r = p + 7; u = f + 15; j = r + 20; d = c + 9; w = x + 1; x = f + 3; i = s + 7; k = w + 3; f = 5. If f = 5, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 14 to d, which gives d = i + 23.\n2. Substitute i = s + 7 to d, which gives d = s + 30.\n3. Substitute s = l + 16 to d, which gives d = l + 46.\n4. Substitute l = u + 9 to d, which gives d = u + 55.\n5. Substitute u = f + 15 to d, which gives d = f + 70.\n6. Substitute f = 5 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 2578,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 3; c = i + 14; s = l + 16; l = u + 9; r = p + 7; u = f + 15; j = r + 20; d = c + 9; w = x + 1; x = f + 3; i = s + 7; k = w + 3; f = 5. If f = 5, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"r": "p + 11", "w": "r + 10", "l": "w + 6", "g": "l + 4", "i": "g + 13", "c": "i + 2", "b": "p + 19", "j": "b + 8", "o": "j + 20", "z": "o + 12", "u": "z + 9", "e": "u + 9", "p": 10}, "premises": {"p": 10}, "target": "c"}, "answer": {"steps": [["i", "g + 13", "g + 15"], ["g", "l + 4", "l + 19"], ["l", "w + 6", "w + 25"], ["w", "r + 10", "r + 35"], ["r", "p + 11", "p + 46"], ["p", 10, "56"]], "target_var_name": "c", "target_value": 56, "value_dict": {"p": 10}, "is_reverse": true}}
| 2,579
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 13; u = z + 9; c = i + 2; b = p + 19; r = p + 11; l = w + 6; p = 10; z = o + 12; g = l + 4; j = b + 8; e = u + 9; o = j + 20; w = r + 10. If p = 10, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 13 to c, which gives c = g + 15.\n2. Substitute g = l + 4 to c, which gives c = l + 19.\n3. Substitute l = w + 6 to c, which gives c = w + 25.\n4. Substitute w = r + 10 to c, which gives c = r + 35.\n5. Substitute r = p + 11 to c, which gives c = p + 46.\n6. Substitute p = 10 to c, which gives c = 56.\n\nThus, the final answer is c = \\boxed{56}.",
"index": 2579,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 13; u = z + 9; c = i + 2; b = p + 19; r = p + 11; l = w + 6; p = 10; z = o + 12; g = l + 4; j = b + 8; e = u + 9; o = j + 20; w = r + 10. If p = 10, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"r": "n + 19", "z": "r + 18", "s": "z + 5", "p": "s + 9", "j": "p + 2", "c": "j + 11", "f": "n + 15", "l": "f + 14", "y": "l + 11", "x": "y + 3", "q": "x + 3", "h": "q + 5", "n": 12}, "premises": {"n": 12}, "target": "c"}, "answer": {"steps": [["j", "p + 2", "p + 13"], ["p", "s + 9", "s + 22"], ["s", "z + 5", "z + 27"], ["z", "r + 18", "r + 45"], ["r", "n + 19", "n + 64"], ["n", 12, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"n": 12}, "is_reverse": true}}
| 2,580
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = r + 18; q = x + 3; s = z + 5; p = s + 9; l = f + 14; j = p + 2; y = l + 11; f = n + 15; c = j + 11; x = y + 3; r = n + 19; h = q + 5; n = 12. Given that n = 12, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 2 to c, which gives c = p + 13.\n2. Substitute p = s + 9 to c, which gives c = s + 22.\n3. Substitute s = z + 5 to c, which gives c = z + 27.\n4. Substitute z = r + 18 to c, which gives c = r + 45.\n5. Substitute r = n + 19 to c, which gives c = n + 64.\n6. Substitute n = 12 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 2580,
"question": "Suppose a collection of variables is related by the following definitions: z = r + 18; q = x + 3; s = z + 5; p = s + 9; l = f + 14; j = p + 2; y = l + 11; f = n + 15; c = j + 11; x = y + 3; r = n + 19; h = q + 5; n = 12. Given that n = 12, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"m": "n + 15", "v": "m + 12", "y": "v + 16", "a": "y + 4", "e": "a + 5", "p": "e + 3", "r": "n + 16", "d": "r + 1", "w": "d + 13", "z": "w + 10", "s": "z + 13", "q": "s + 18", "n": 18}, "premises": {"n": 18}, "target": "p"}, "answer": {"steps": [["e", "a + 5", "a + 8"], ["a", "y + 4", "y + 12"], ["y", "v + 16", "v + 28"], ["v", "m + 12", "m + 40"], ["m", "n + 15", "n + 55"], ["n", 18, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"n": 18}, "is_reverse": true}}
| 2,581
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = d + 13; y = v + 16; z = w + 10; s = z + 13; r = n + 16; m = n + 15; a = y + 4; p = e + 3; e = a + 5; d = r + 1; v = m + 12; q = s + 18; n = 18. If n = 18, 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 e = a + 5 to p, which gives p = a + 8.\n2. Substitute a = y + 4 to p, which gives p = y + 12.\n3. Substitute y = v + 16 to p, which gives p = v + 28.\n4. Substitute v = m + 12 to p, which gives p = m + 40.\n5. Substitute m = n + 15 to p, which gives p = n + 55.\n6. Substitute n = 18 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 2581,
"question": "Consider a system of variables where each variable is defined as follows: w = d + 13; y = v + 16; z = w + 10; s = z + 13; r = n + 16; m = n + 15; a = y + 4; p = e + 3; e = a + 5; d = r + 1; v = m + 12; q = s + 18; n = 18. If n = 18, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"z": "h + 16", "t": "z + 14", "e": "t + 19", "n": "e + 1", "c": "n + 10", "w": "c + 8", "u": "h + 8", "b": "u + 13", "p": "b + 6", "g": "p + 8", "f": "g + 5", "s": "f + 13", "h": 5}, "premises": {"h": 5}, "target": "w"}, "answer": {"steps": [["c", "n + 10", "n + 18"], ["n", "e + 1", "e + 19"], ["e", "t + 19", "t + 38"], ["t", "z + 14", "z + 52"], ["z", "h + 16", "h + 68"], ["h", 5, "73"]], "target_var_name": "w", "target_value": 73, "value_dict": {"h": 5}, "is_reverse": true}}
| 2,582
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = z + 14; b = u + 13; h = 5; g = p + 8; p = b + 6; f = g + 5; w = c + 8; n = e + 1; z = h + 16; e = t + 19; c = n + 10; s = f + 13; u = h + 8. Given that h = 5, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 10 to w, which gives w = n + 18.\n2. Substitute n = e + 1 to w, which gives w = e + 19.\n3. Substitute e = t + 19 to w, which gives w = t + 38.\n4. Substitute t = z + 14 to w, which gives w = z + 52.\n5. Substitute z = h + 16 to w, which gives w = h + 68.\n6. Substitute h = 5 to w, which gives w = 73.\n\nThus, the final answer is w = \\boxed{73}.",
"index": 2582,
"question": "Suppose a collection of variables is related by the following definitions: t = z + 14; b = u + 13; h = 5; g = p + 8; p = b + 6; f = g + 5; w = c + 8; n = e + 1; z = h + 16; e = t + 19; c = n + 10; s = f + 13; u = h + 8. Given that h = 5, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"w": "c + 4", "n": "w + 10", "k": "n + 18", "t": "k + 2", "g": "t + 4", "x": "g + 3", "p": "c + 3", "j": "p + 18", "o": "j + 17", "h": "o + 7", "f": "h + 11", "e": "f + 18", "c": 2}, "premises": {"c": 2}, "target": "x"}, "answer": {"steps": [["g", "t + 4", "t + 7"], ["t", "k + 2", "k + 9"], ["k", "n + 18", "n + 27"], ["n", "w + 10", "w + 37"], ["w", "c + 4", "c + 41"], ["c", 2, "43"]], "target_var_name": "x", "target_value": 43, "value_dict": {"c": 2}, "is_reverse": true}}
| 2,583
| 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; t = k + 2; p = c + 3; x = g + 3; f = h + 11; w = c + 4; n = w + 10; o = j + 17; j = p + 18; c = 2; h = o + 7; k = n + 18; e = f + 18. If c = 2, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 4 to x, which gives x = t + 7.\n2. Substitute t = k + 2 to x, which gives x = k + 9.\n3. Substitute k = n + 18 to x, which gives x = n + 27.\n4. Substitute n = w + 10 to x, which gives x = w + 37.\n5. Substitute w = c + 4 to x, which gives x = c + 41.\n6. Substitute c = 2 to x, which gives x = 43.\n\nThus, the final answer is x = \\boxed{43}.",
"index": 2583,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = t + 4; t = k + 2; p = c + 3; x = g + 3; f = h + 11; w = c + 4; n = w + 10; o = j + 17; j = p + 18; c = 2; h = o + 7; k = n + 18; e = f + 18. If c = 2, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"o": "c + 1", "s": "o + 6", "j": "s + 11", "e": "j + 13", "q": "e + 7", "w": "q + 14", "m": "c + 18", "y": "m + 8", "d": "y + 18", "b": "d + 4", "n": "b + 5", "a": "n + 18", "c": 12}, "premises": {"c": 12}, "target": "w"}, "answer": {"steps": [["q", "e + 7", "e + 21"], ["e", "j + 13", "j + 34"], ["j", "s + 11", "s + 45"], ["s", "o + 6", "o + 51"], ["o", "c + 1", "c + 52"], ["c", 12, "64"]], "target_var_name": "w", "target_value": 64, "value_dict": {"c": 12}, "is_reverse": true}}
| 2,584
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = c + 1; q = e + 7; m = c + 18; y = m + 8; j = s + 11; s = o + 6; d = y + 18; e = j + 13; n = b + 5; c = 12; a = n + 18; b = d + 4; w = q + 14. If c = 12, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 7 to w, which gives w = e + 21.\n2. Substitute e = j + 13 to w, which gives w = j + 34.\n3. Substitute j = s + 11 to w, which gives w = s + 45.\n4. Substitute s = o + 6 to w, which gives w = o + 51.\n5. Substitute o = c + 1 to w, which gives w = c + 52.\n6. Substitute c = 12 to w, which gives w = 64.\n\nThus, the final answer is w = \\boxed{64}.",
"index": 2584,
"question": "Consider a system of variables where each variable is defined as follows: o = c + 1; q = e + 7; m = c + 18; y = m + 8; j = s + 11; s = o + 6; d = y + 18; e = j + 13; n = b + 5; c = 12; a = n + 18; b = d + 4; w = q + 14. If c = 12, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"s": "p + 13", "b": "s + 5", "l": "b + 16", "g": "l + 14", "o": "g + 9", "u": "o + 19", "m": "p + 6", "d": "m + 4", "f": "d + 18", "h": "f + 1", "j": "h + 18", "x": "j + 9", "p": 13}, "premises": {"p": 13}, "target": "u"}, "answer": {"steps": [["o", "g + 9", "g + 28"], ["g", "l + 14", "l + 42"], ["l", "b + 16", "b + 58"], ["b", "s + 5", "s + 63"], ["s", "p + 13", "p + 76"], ["p", 13, "89"]], "target_var_name": "u", "target_value": 89, "value_dict": {"p": 13}, "is_reverse": true}}
| 2,585
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = m + 4; b = s + 5; o = g + 9; m = p + 6; h = f + 1; p = 13; f = d + 18; s = p + 13; l = b + 16; u = o + 19; x = j + 9; g = l + 14; j = h + 18. Given that p = 13, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 9 to u, which gives u = g + 28.\n2. Substitute g = l + 14 to u, which gives u = l + 42.\n3. Substitute l = b + 16 to u, which gives u = b + 58.\n4. Substitute b = s + 5 to u, which gives u = s + 63.\n5. Substitute s = p + 13 to u, which gives u = p + 76.\n6. Substitute p = 13 to u, which gives u = 89.\n\nThus, the final answer is u = \\boxed{89}.",
"index": 2585,
"question": "Suppose a collection of variables is related by the following definitions: d = m + 4; b = s + 5; o = g + 9; m = p + 6; h = f + 1; p = 13; f = d + 18; s = p + 13; l = b + 16; u = o + 19; x = j + 9; g = l + 14; j = h + 18. Given that p = 13, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"k": "o + 3", "b": "k + 1", "x": "b + 12", "n": "x + 9", "t": "n + 11", "a": "t + 13", "w": "o + 7", "u": "w + 10", "h": "u + 18", "z": "h + 5", "f": "z + 6", "r": "f + 6", "o": 6}, "premises": {"o": 6}, "target": "a"}, "answer": {"steps": [["t", "n + 11", "n + 24"], ["n", "x + 9", "x + 33"], ["x", "b + 12", "b + 45"], ["b", "k + 1", "k + 46"], ["k", "o + 3", "o + 49"], ["o", 6, "55"]], "target_var_name": "a", "target_value": 55, "value_dict": {"o": 6}, "is_reverse": true}}
| 2,586
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = x + 9; t = n + 11; w = o + 7; k = o + 3; a = t + 13; r = f + 6; f = z + 6; z = h + 5; b = k + 1; x = b + 12; u = w + 10; h = u + 18; o = 6. Given that o = 6, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 11 to a, which gives a = n + 24.\n2. Substitute n = x + 9 to a, which gives a = x + 33.\n3. Substitute x = b + 12 to a, which gives a = b + 45.\n4. Substitute b = k + 1 to a, which gives a = k + 46.\n5. Substitute k = o + 3 to a, which gives a = o + 49.\n6. Substitute o = 6 to a, which gives a = 55.\n\nThus, the final answer is a = \\boxed{55}.",
"index": 2586,
"question": "Suppose a collection of variables is related by the following definitions: n = x + 9; t = n + 11; w = o + 7; k = o + 3; a = t + 13; r = f + 6; f = z + 6; z = h + 5; b = k + 1; x = b + 12; u = w + 10; h = u + 18; o = 6. Given that o = 6, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"r": "g + 12", "j": "r + 2", "z": "j + 5", "q": "z + 20", "f": "q + 6", "d": "f + 18", "p": "g + 7", "y": "p + 9", "m": "y + 2", "e": "m + 6", "c": "e + 9", "i": "c + 10", "g": 18}, "premises": {"g": 18}, "target": "d"}, "answer": {"steps": [["f", "q + 6", "q + 24"], ["q", "z + 20", "z + 44"], ["z", "j + 5", "j + 49"], ["j", "r + 2", "r + 51"], ["r", "g + 12", "g + 63"], ["g", 18, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"g": 18}, "is_reverse": true}}
| 2,587
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = f + 18; c = e + 9; z = j + 5; p = g + 7; m = y + 2; e = m + 6; g = 18; f = q + 6; r = g + 12; j = r + 2; q = z + 20; y = p + 9; i = c + 10. Given that g = 18, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 6 to d, which gives d = q + 24.\n2. Substitute q = z + 20 to d, which gives d = z + 44.\n3. Substitute z = j + 5 to d, which gives d = j + 49.\n4. Substitute j = r + 2 to d, which gives d = r + 51.\n5. Substitute r = g + 12 to d, which gives d = g + 63.\n6. Substitute g = 18 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 2587,
"question": "Suppose a collection of variables is related by the following definitions: d = f + 18; c = e + 9; z = j + 5; p = g + 7; m = y + 2; e = m + 6; g = 18; f = q + 6; r = g + 12; j = r + 2; q = z + 20; y = p + 9; i = c + 10. Given that g = 18, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"h": "z + 4", "g": "h + 2", "t": "g + 20", "k": "t + 20", "a": "k + 12", "u": "a + 19", "i": "z + 19", "o": "i + 15", "q": "o + 11", "n": "q + 10", "s": "n + 6", "p": "s + 5", "z": 15}, "premises": {"z": 15}, "target": "u"}, "answer": {"steps": [["a", "k + 12", "k + 31"], ["k", "t + 20", "t + 51"], ["t", "g + 20", "g + 71"], ["g", "h + 2", "h + 73"], ["h", "z + 4", "z + 77"], ["z", 15, "92"]], "target_var_name": "u", "target_value": 92, "value_dict": {"z": 15}, "is_reverse": true}}
| 2,588
| 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 = q + 10; g = h + 2; q = o + 11; u = a + 19; h = z + 4; p = s + 5; z = 15; t = g + 20; i = z + 19; a = k + 12; k = t + 20; s = n + 6; o = i + 15. If z = 15, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 12 to u, which gives u = k + 31.\n2. Substitute k = t + 20 to u, which gives u = t + 51.\n3. Substitute t = g + 20 to u, which gives u = g + 71.\n4. Substitute g = h + 2 to u, which gives u = h + 73.\n5. Substitute h = z + 4 to u, which gives u = z + 77.\n6. Substitute z = 15 to u, which gives u = 92.\n\nThus, the final answer is u = \\boxed{92}.",
"index": 2588,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 10; g = h + 2; q = o + 11; u = a + 19; h = z + 4; p = s + 5; z = 15; t = g + 20; i = z + 19; a = k + 12; k = t + 20; s = n + 6; o = i + 15. If z = 15, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"y": "o + 18", "i": "y + 20", "c": "i + 20", "m": "c + 1", "r": "m + 2", "f": "r + 3", "a": "o + 1", "w": "a + 19", "p": "w + 8", "e": "p + 5", "d": "e + 19", "t": "d + 18", "o": 2}, "premises": {"o": 2}, "target": "f"}, "answer": {"steps": [["r", "m + 2", "m + 5"], ["m", "c + 1", "c + 6"], ["c", "i + 20", "i + 26"], ["i", "y + 20", "y + 46"], ["y", "o + 18", "o + 64"], ["o", 2, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"o": 2}, "is_reverse": true}}
| 2,589
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = i + 20; t = d + 18; y = o + 18; w = a + 19; o = 2; p = w + 8; m = c + 1; r = m + 2; d = e + 19; a = o + 1; e = p + 5; f = r + 3; i = y + 20. Given that o = 2, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 2 to f, which gives f = m + 5.\n2. Substitute m = c + 1 to f, which gives f = c + 6.\n3. Substitute c = i + 20 to f, which gives f = i + 26.\n4. Substitute i = y + 20 to f, which gives f = y + 46.\n5. Substitute y = o + 18 to f, which gives f = o + 64.\n6. Substitute o = 2 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 2589,
"question": "Suppose a collection of variables is related by the following definitions: c = i + 20; t = d + 18; y = o + 18; w = a + 19; o = 2; p = w + 8; m = c + 1; r = m + 2; d = e + 19; a = o + 1; e = p + 5; f = r + 3; i = y + 20. Given that o = 2, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"h": "a + 20", "u": "h + 9", "s": "u + 1", "y": "s + 1", "v": "y + 20", "t": "v + 5", "p": "a + 2", "w": "p + 2", "c": "w + 1", "z": "c + 6", "e": "z + 12", "j": "e + 11", "a": 7}, "premises": {"a": 7}, "target": "t"}, "answer": {"steps": [["v", "y + 20", "y + 25"], ["y", "s + 1", "s + 26"], ["s", "u + 1", "u + 27"], ["u", "h + 9", "h + 36"], ["h", "a + 20", "a + 56"], ["a", 7, "63"]], "target_var_name": "t", "target_value": 63, "value_dict": {"a": 7}, "is_reverse": true}}
| 2,590
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = h + 9; v = y + 20; p = a + 2; e = z + 12; s = u + 1; h = a + 20; a = 7; w = p + 2; j = e + 11; y = s + 1; t = v + 5; c = w + 1; z = c + 6. Given that a = 7, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 20 to t, which gives t = y + 25.\n2. Substitute y = s + 1 to t, which gives t = s + 26.\n3. Substitute s = u + 1 to t, which gives t = u + 27.\n4. Substitute u = h + 9 to t, which gives t = h + 36.\n5. Substitute h = a + 20 to t, which gives t = a + 56.\n6. Substitute a = 7 to t, which gives t = 63.\n\nThus, the final answer is t = \\boxed{63}.",
"index": 2590,
"question": "Suppose a collection of variables is related by the following definitions: u = h + 9; v = y + 20; p = a + 2; e = z + 12; s = u + 1; h = a + 20; a = 7; w = p + 2; j = e + 11; y = s + 1; t = v + 5; c = w + 1; z = c + 6. Given that a = 7, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 2", "z": "b + 9", "q": "z + 19", "j": "q + 11", "f": "j + 5", "o": "f + 8", "m": "x + 19", "i": "m + 6", "d": "i + 12", "a": "d + 1", "u": "a + 19", "c": "u + 5", "x": 17}, "premises": {"x": 17}, "target": "o"}, "answer": {"steps": [["f", "j + 5", "j + 13"], ["j", "q + 11", "q + 24"], ["q", "z + 19", "z + 43"], ["z", "b + 9", "b + 52"], ["b", "x + 2", "x + 54"], ["x", 17, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"x": 17}, "is_reverse": true}}
| 2,591
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = j + 5; z = b + 9; i = m + 6; b = x + 2; j = q + 11; a = d + 1; o = f + 8; u = a + 19; x = 17; q = z + 19; m = x + 19; d = i + 12; c = u + 5. Given that x = 17, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 5 to o, which gives o = j + 13.\n2. Substitute j = q + 11 to o, which gives o = q + 24.\n3. Substitute q = z + 19 to o, which gives o = z + 43.\n4. Substitute z = b + 9 to o, which gives o = b + 52.\n5. Substitute b = x + 2 to o, which gives o = x + 54.\n6. Substitute x = 17 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 2591,
"question": "Suppose a collection of variables is related by the following definitions: f = j + 5; z = b + 9; i = m + 6; b = x + 2; j = q + 11; a = d + 1; o = f + 8; u = a + 19; x = 17; q = z + 19; m = x + 19; d = i + 12; c = u + 5. Given that x = 17, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"n": "r + 10", "u": "n + 5", "l": "u + 17", "d": "l + 9", "c": "d + 6", "q": "c + 12", "f": "r + 2", "v": "f + 20", "x": "v + 19", "s": "x + 19", "b": "s + 9", "j": "b + 4", "r": 7}, "premises": {"r": 7}, "target": "q"}, "answer": {"steps": [["c", "d + 6", "d + 18"], ["d", "l + 9", "l + 27"], ["l", "u + 17", "u + 44"], ["u", "n + 5", "n + 49"], ["n", "r + 10", "r + 59"], ["r", 7, "66"]], "target_var_name": "q", "target_value": 66, "value_dict": {"r": 7}, "is_reverse": true}}
| 2,592
| 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 = l + 9; b = s + 9; f = r + 2; n = r + 10; l = u + 17; j = b + 4; c = d + 6; u = n + 5; v = f + 20; q = c + 12; x = v + 19; r = 7; s = x + 19. If r = 7, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 6 to q, which gives q = d + 18.\n2. Substitute d = l + 9 to q, which gives q = l + 27.\n3. Substitute l = u + 17 to q, which gives q = u + 44.\n4. Substitute u = n + 5 to q, which gives q = n + 49.\n5. Substitute n = r + 10 to q, which gives q = r + 59.\n6. Substitute r = 7 to q, which gives q = 66.\n\nThus, the final answer is q = \\boxed{66}.",
"index": 2592,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = l + 9; b = s + 9; f = r + 2; n = r + 10; l = u + 17; j = b + 4; c = d + 6; u = n + 5; v = f + 20; q = c + 12; x = v + 19; r = 7; s = x + 19. If r = 7, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"d": "n + 13", "m": "d + 14", "v": "m + 18", "g": "v + 7", "w": "g + 11", "l": "w + 7", "o": "n + 8", "b": "o + 6", "x": "b + 4", "t": "x + 2", "f": "t + 20", "j": "f + 6", "n": 17}, "premises": {"n": 17}, "target": "l"}, "answer": {"steps": [["w", "g + 11", "g + 18"], ["g", "v + 7", "v + 25"], ["v", "m + 18", "m + 43"], ["m", "d + 14", "d + 57"], ["d", "n + 13", "n + 70"], ["n", 17, "87"]], "target_var_name": "l", "target_value": 87, "value_dict": {"n": 17}, "is_reverse": true}}
| 2,593
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = d + 14; t = x + 2; j = f + 6; d = n + 13; b = o + 6; f = t + 20; o = n + 8; v = m + 18; l = w + 7; w = g + 11; n = 17; g = v + 7; x = b + 4. If n = 17, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 11 to l, which gives l = g + 18.\n2. Substitute g = v + 7 to l, which gives l = v + 25.\n3. Substitute v = m + 18 to l, which gives l = m + 43.\n4. Substitute m = d + 14 to l, which gives l = d + 57.\n5. Substitute d = n + 13 to l, which gives l = n + 70.\n6. Substitute n = 17 to l, which gives l = 87.\n\nThus, the final answer is l = \\boxed{87}.",
"index": 2593,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = d + 14; t = x + 2; j = f + 6; d = n + 13; b = o + 6; f = t + 20; o = n + 8; v = m + 18; l = w + 7; w = g + 11; n = 17; g = v + 7; x = b + 4. If n = 17, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"n": "r + 10", "z": "n + 10", "j": "z + 2", "c": "j + 13", "t": "c + 8", "x": "t + 10", "y": "r + 4", "e": "y + 19", "g": "e + 5", "d": "g + 2", "q": "d + 13", "m": "q + 14", "r": 18}, "premises": {"r": 18}, "target": "x"}, "answer": {"steps": [["t", "c + 8", "c + 18"], ["c", "j + 13", "j + 31"], ["j", "z + 2", "z + 33"], ["z", "n + 10", "n + 43"], ["n", "r + 10", "r + 53"], ["r", 18, "71"]], "target_var_name": "x", "target_value": 71, "value_dict": {"r": 18}, "is_reverse": true}}
| 2,594
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 14; r = 18; n = r + 10; j = z + 2; d = g + 2; t = c + 8; y = r + 4; c = j + 13; x = t + 10; g = e + 5; e = y + 19; q = d + 13; z = n + 10. If r = 18, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 8 to x, which gives x = c + 18.\n2. Substitute c = j + 13 to x, which gives x = j + 31.\n3. Substitute j = z + 2 to x, which gives x = z + 33.\n4. Substitute z = n + 10 to x, which gives x = n + 43.\n5. Substitute n = r + 10 to x, which gives x = r + 53.\n6. Substitute r = 18 to x, which gives x = 71.\n\nThus, the final answer is x = \\boxed{71}.",
"index": 2594,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 14; r = 18; n = r + 10; j = z + 2; d = g + 2; t = c + 8; y = r + 4; c = j + 13; x = t + 10; g = e + 5; e = y + 19; q = d + 13; z = n + 10. If r = 18, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"u": "c + 14", "x": "u + 5", "k": "x + 8", "t": "k + 2", "j": "t + 16", "o": "j + 19", "b": "c + 8", "g": "b + 8", "e": "g + 14", "n": "e + 20", "a": "n + 18", "z": "a + 8", "c": 17}, "premises": {"c": 17}, "target": "o"}, "answer": {"steps": [["j", "t + 16", "t + 35"], ["t", "k + 2", "k + 37"], ["k", "x + 8", "x + 45"], ["x", "u + 5", "u + 50"], ["u", "c + 14", "c + 64"], ["c", 17, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"c": 17}, "is_reverse": true}}
| 2,595
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = g + 14; u = c + 14; t = k + 2; g = b + 8; z = a + 8; c = 17; b = c + 8; a = n + 18; x = u + 5; n = e + 20; j = t + 16; o = j + 19; k = x + 8. If c = 17, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 16 to o, which gives o = t + 35.\n2. Substitute t = k + 2 to o, which gives o = k + 37.\n3. Substitute k = x + 8 to o, which gives o = x + 45.\n4. Substitute x = u + 5 to o, which gives o = u + 50.\n5. Substitute u = c + 14 to o, which gives o = c + 64.\n6. Substitute c = 17 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 2595,
"question": "Consider a system of variables where each variable is defined as follows: e = g + 14; u = c + 14; t = k + 2; g = b + 8; z = a + 8; c = 17; b = c + 8; a = n + 18; x = u + 5; n = e + 20; j = t + 16; o = j + 19; k = x + 8. If c = 17, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"k": "m + 1", "c": "k + 18", "b": "c + 17", "t": "b + 19", "g": "t + 2", "s": "g + 5", "d": "m + 19", "r": "d + 5", "a": "r + 19", "z": "a + 1", "y": "z + 17", "q": "y + 13", "m": 17}, "premises": {"m": 17}, "target": "s"}, "answer": {"steps": [["g", "t + 2", "t + 7"], ["t", "b + 19", "b + 26"], ["b", "c + 17", "c + 43"], ["c", "k + 18", "k + 61"], ["k", "m + 1", "m + 62"], ["m", 17, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"m": 17}, "is_reverse": true}}
| 2,596
| 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 = r + 19; z = a + 1; d = m + 19; q = y + 13; c = k + 18; b = c + 17; y = z + 17; m = 17; r = d + 5; g = t + 2; s = g + 5; t = b + 19; k = m + 1. If m = 17, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 2 to s, which gives s = t + 7.\n2. Substitute t = b + 19 to s, which gives s = b + 26.\n3. Substitute b = c + 17 to s, which gives s = c + 43.\n4. Substitute c = k + 18 to s, which gives s = k + 61.\n5. Substitute k = m + 1 to s, which gives s = m + 62.\n6. Substitute m = 17 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 2596,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 19; z = a + 1; d = m + 19; q = y + 13; c = k + 18; b = c + 17; y = z + 17; m = 17; r = d + 5; g = t + 2; s = g + 5; t = b + 19; k = m + 1. If m = 17, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 5", "o": "m + 7", "b": "o + 15", "n": "b + 5", "e": "n + 19", "s": "e + 15", "f": "j + 18", "q": "f + 16", "k": "q + 19", "z": "k + 18", "h": "z + 12", "r": "h + 8", "j": 16}, "premises": {"j": 16}, "target": "s"}, "answer": {"steps": [["e", "n + 19", "n + 34"], ["n", "b + 5", "b + 39"], ["b", "o + 15", "o + 54"], ["o", "m + 7", "m + 61"], ["m", "j + 5", "j + 66"], ["j", 16, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"j": 16}, "is_reverse": true}}
| 2,597
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = o + 15; q = f + 16; m = j + 5; o = m + 7; f = j + 18; z = k + 18; n = b + 5; j = 16; r = h + 8; s = e + 15; k = q + 19; h = z + 12; e = n + 19. Given that j = 16, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 19 to s, which gives s = n + 34.\n2. Substitute n = b + 5 to s, which gives s = b + 39.\n3. Substitute b = o + 15 to s, which gives s = o + 54.\n4. Substitute o = m + 7 to s, which gives s = m + 61.\n5. Substitute m = j + 5 to s, which gives s = j + 66.\n6. Substitute j = 16 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 2597,
"question": "Suppose a collection of variables is related by the following definitions: b = o + 15; q = f + 16; m = j + 5; o = m + 7; f = j + 18; z = k + 18; n = b + 5; j = 16; r = h + 8; s = e + 15; k = q + 19; h = z + 12; e = n + 19. Given that j = 16, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"p": "q + 17", "m": "p + 9", "v": "m + 1", "t": "v + 7", "x": "t + 17", "k": "x + 19", "e": "q + 11", "h": "e + 5", "r": "h + 3", "c": "r + 11", "d": "c + 10", "l": "d + 10", "q": 1}, "premises": {"q": 1}, "target": "k"}, "answer": {"steps": [["x", "t + 17", "t + 36"], ["t", "v + 7", "v + 43"], ["v", "m + 1", "m + 44"], ["m", "p + 9", "p + 53"], ["p", "q + 17", "q + 70"], ["q", 1, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"q": 1}, "is_reverse": true}}
| 2,598
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = m + 1; x = t + 17; e = q + 11; l = d + 10; d = c + 10; p = q + 17; t = v + 7; r = h + 3; h = e + 5; k = x + 19; q = 1; m = p + 9; c = r + 11. Given that q = 1, 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 x = t + 17 to k, which gives k = t + 36.\n2. Substitute t = v + 7 to k, which gives k = v + 43.\n3. Substitute v = m + 1 to k, which gives k = m + 44.\n4. Substitute m = p + 9 to k, which gives k = p + 53.\n5. Substitute p = q + 17 to k, which gives k = q + 70.\n6. Substitute q = 1 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 2598,
"question": "Suppose a collection of variables is related by the following definitions: v = m + 1; x = t + 17; e = q + 11; l = d + 10; d = c + 10; p = q + 17; t = v + 7; r = h + 3; h = e + 5; k = x + 19; q = 1; m = p + 9; c = r + 11. Given that q = 1, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"p": "d + 18", "t": "p + 7", "k": "t + 4", "v": "k + 7", "x": "v + 10", "l": "x + 15", "r": "d + 19", "i": "r + 10", "u": "i + 6", "f": "u + 2", "q": "f + 5", "w": "q + 19", "d": 2}, "premises": {"d": 2}, "target": "l"}, "answer": {"steps": [["x", "v + 10", "v + 25"], ["v", "k + 7", "k + 32"], ["k", "t + 4", "t + 36"], ["t", "p + 7", "p + 43"], ["p", "d + 18", "d + 61"], ["d", 2, "63"]], "target_var_name": "l", "target_value": 63, "value_dict": {"d": 2}, "is_reverse": true}}
| 2,599
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = r + 10; l = x + 15; f = u + 2; u = i + 6; t = p + 7; x = v + 10; w = q + 19; d = 2; k = t + 4; q = f + 5; v = k + 7; r = d + 19; p = d + 18. If d = 2, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 10 to l, which gives l = v + 25.\n2. Substitute v = k + 7 to l, which gives l = k + 32.\n3. Substitute k = t + 4 to l, which gives l = t + 36.\n4. Substitute t = p + 7 to l, which gives l = p + 43.\n5. Substitute p = d + 18 to l, which gives l = d + 61.\n6. Substitute d = 2 to l, which gives l = 63.\n\nThus, the final answer is l = \\boxed{63}.",
"index": 2599,
"question": "Consider a system of variables where each variable is defined as follows: i = r + 10; l = x + 15; f = u + 2; u = i + 6; t = p + 7; x = v + 10; w = q + 19; d = 2; k = t + 4; q = f + 5; v = k + 7; r = d + 19; p = d + 18. If d = 2, determine the value of l.",
"split": "train"
}
|
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