meta
string | id
int64 | problem_solution_idx
int64 | world_id
string | data_source
string | prompt
list | ability
string | reward_model
dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"t": "d + 11", "s": "t + 9", "w": "s + 20", "p": "w + 1", "q": "p + 14", "l": "q + 7", "u": "d + 9", "j": "u + 6", "f": "j + 18", "o": "f + 16", "i": "o + 6", "g": "i + 2", "d": 17}, "premises": {"d": 17}, "target": "l"}, "answer": {"steps": [["t", "d + 11", 28], ["s", "t + 9", 37], ["w", "s + 20", 57], ["p", "w + 1", 58], ["q", "p + 14", 72], ["l", "q + 7", 79]], "target_var_name": "l", "target_value": 79, "value_dict": {"d": 17, "t": 28, "s": 37, "w": 57, "p": 58, "q": 72, "l": 79}, "is_reverse": false}}
| 0
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = p + 14; d = 17; p = w + 1; f = j + 18; w = s + 20; i = o + 6; s = t + 9; g = i + 2; u = d + 9; j = u + 6; l = q + 7; t = d + 11; o = f + 16. If d = 17, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = d + 11, which gives t = 28.\n2. Compute s using s = t + 9, which gives s = 37.\n3. Compute w using w = s + 20, which gives w = 57.\n4. Compute p using p = w + 1, which gives p = 58.\n5. Compute q using q = p + 14, which gives q = 72.\n6. Compute l using l = q + 7, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 0,
"question": "Consider a system of variables where each variable is defined as follows: q = p + 14; d = 17; p = w + 1; f = j + 18; w = s + 20; i = o + 6; s = t + 9; g = i + 2; u = d + 9; j = u + 6; l = q + 7; t = d + 11; o = f + 16. If d = 17, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"c": "b + 17", "v": "c + 3", "j": "v + 8", "i": "j + 12", "o": "i + 20", "m": "o + 9", "f": "b + 10", "n": "f + 18", "d": "n + 1", "w": "d + 6", "l": "w + 20", "t": "l + 17", "b": 13}, "premises": {"b": 13}, "target": "m"}, "answer": {"steps": [["c", "b + 17", 30], ["v", "c + 3", 33], ["j", "v + 8", 41], ["i", "j + 12", 53], ["o", "i + 20", 73], ["m", "o + 9", 82]], "target_var_name": "m", "target_value": 82, "value_dict": {"b": 13, "c": 30, "v": 33, "j": 41, "i": 53, "o": 73, "m": 82}, "is_reverse": false}}
| 1
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = 13; c = b + 17; m = o + 9; f = b + 10; j = v + 8; n = f + 18; o = i + 20; i = j + 12; d = n + 1; v = c + 3; w = d + 6; t = l + 17; l = w + 20. If b = 13, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = b + 17, which gives c = 30.\n2. Compute v using v = c + 3, which gives v = 33.\n3. Compute j using j = v + 8, which gives j = 41.\n4. Compute i using i = j + 12, which gives i = 53.\n5. Compute o using o = i + 20, which gives o = 73.\n6. Compute m using m = o + 9, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 1,
"question": "Consider a system of variables where each variable is defined as follows: b = 13; c = b + 17; m = o + 9; f = b + 10; j = v + 8; n = f + 18; o = i + 20; i = j + 12; d = n + 1; v = c + 3; w = d + 6; t = l + 17; l = w + 20. If b = 13, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 15", "s": "w + 11", "g": "s + 7", "z": "g + 4", "l": "z + 10", "b": "l + 6", "p": "m + 9", "c": "p + 1", "y": "c + 9", "a": "y + 10", "n": "a + 8", "i": "n + 4", "m": 18}, "premises": {"m": 18}, "target": "b"}, "answer": {"steps": [["l", "z + 10", "z + 16"], ["z", "g + 4", "g + 20"], ["g", "s + 7", "s + 27"], ["s", "w + 11", "w + 38"], ["w", "m + 15", "m + 53"], ["m", 18, "71"]], "target_var_name": "b", "target_value": 71, "value_dict": {"m": 18}, "is_reverse": true}}
| 2
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = c + 9; z = g + 4; l = z + 10; c = p + 1; w = m + 15; i = n + 4; b = l + 6; p = m + 9; g = s + 7; m = 18; s = w + 11; a = y + 10; n = a + 8. If m = 18, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 10 to b, which gives b = z + 16.\n2. Substitute z = g + 4 to b, which gives b = g + 20.\n3. Substitute g = s + 7 to b, which gives b = s + 27.\n4. Substitute s = w + 11 to b, which gives b = w + 38.\n5. Substitute w = m + 15 to b, which gives b = m + 53.\n6. Substitute m = 18 to b, which gives b = 71.\n\nThus, the final answer is b = \\boxed{71}.",
"index": 2,
"question": "Consider a system of variables where each variable is defined as follows: y = c + 9; z = g + 4; l = z + 10; c = p + 1; w = m + 15; i = n + 4; b = l + 6; p = m + 9; g = s + 7; m = 18; s = w + 11; a = y + 10; n = a + 8. If m = 18, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"c": "j + 10", "x": "c + 20", "z": "x + 14", "r": "z + 4", "t": "r + 5", "m": "t + 15", "u": "j + 16", "g": "u + 14", "i": "g + 18", "y": "i + 12", "p": "y + 10", "k": "p + 11", "j": 14}, "premises": {"j": 14}, "target": "m"}, "answer": {"steps": [["t", "r + 5", "r + 20"], ["r", "z + 4", "z + 24"], ["z", "x + 14", "x + 38"], ["x", "c + 20", "c + 58"], ["c", "j + 10", "j + 68"], ["j", 14, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"j": 14}, "is_reverse": true}}
| 3
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 18; y = i + 12; x = c + 20; g = u + 14; c = j + 10; t = r + 5; u = j + 16; k = p + 11; r = z + 4; z = x + 14; j = 14; p = y + 10; m = t + 15. If j = 14, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 5 to m, which gives m = r + 20.\n2. Substitute r = z + 4 to m, which gives m = z + 24.\n3. Substitute z = x + 14 to m, which gives m = x + 38.\n4. Substitute x = c + 20 to m, which gives m = c + 58.\n5. Substitute c = j + 10 to m, which gives m = j + 68.\n6. Substitute j = 14 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 3,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 18; y = i + 12; x = c + 20; g = u + 14; c = j + 10; t = r + 5; u = j + 16; k = p + 11; r = z + 4; z = x + 14; j = 14; p = y + 10; m = t + 15. If j = 14, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"x": "b + 4", "y": "x + 18", "h": "y + 10", "k": "h + 19", "a": "k + 3", "z": "a + 19", "d": "b + 7", "c": "d + 3", "t": "c + 10", "u": "t + 5", "o": "u + 15", "m": "o + 12", "b": 1}, "premises": {"b": 1}, "target": "z"}, "answer": {"steps": [["x", "b + 4", 5], ["y", "x + 18", 23], ["h", "y + 10", 33], ["k", "h + 19", 52], ["a", "k + 3", 55], ["z", "a + 19", 74]], "target_var_name": "z", "target_value": 74, "value_dict": {"b": 1, "x": 5, "y": 23, "h": 33, "k": 52, "a": 55, "z": 74}, "is_reverse": false}}
| 4
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 10; o = u + 15; k = h + 19; b = 1; u = t + 5; z = a + 19; x = b + 4; m = o + 12; a = k + 3; h = y + 10; d = b + 7; c = d + 3; y = x + 18. If b = 1, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = b + 4, which gives x = 5.\n2. Compute y using y = x + 18, which gives y = 23.\n3. Compute h using h = y + 10, which gives h = 33.\n4. Compute k using k = h + 19, which gives k = 52.\n5. Compute a using a = k + 3, which gives a = 55.\n6. Compute z using z = a + 19, which gives z = 74.\n\nThus, the final answer is z = \\boxed{74}.",
"index": 4,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 10; o = u + 15; k = h + 19; b = 1; u = t + 5; z = a + 19; x = b + 4; m = o + 12; a = k + 3; h = y + 10; d = b + 7; c = d + 3; y = x + 18. If b = 1, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 11", "r": "y + 5", "d": "r + 15", "j": "d + 13", "i": "j + 8", "k": "i + 3", "a": "l + 1", "t": "a + 16", "e": "t + 7", "x": "e + 4", "n": "x + 12", "q": "n + 13", "l": 11}, "premises": {"l": 11}, "target": "k"}, "answer": {"steps": [["y", "l + 11", 22], ["r", "y + 5", 27], ["d", "r + 15", 42], ["j", "d + 13", 55], ["i", "j + 8", 63], ["k", "i + 3", 66]], "target_var_name": "k", "target_value": 66, "value_dict": {"l": 11, "y": 22, "r": 27, "d": 42, "j": 55, "i": 63, "k": 66}, "is_reverse": false}}
| 5
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = d + 13; n = x + 12; q = n + 13; x = e + 4; d = r + 15; t = a + 16; e = t + 7; l = 11; r = y + 5; a = l + 1; i = j + 8; y = l + 11; k = i + 3. If l = 11, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = l + 11, which gives y = 22.\n2. Compute r using r = y + 5, which gives r = 27.\n3. Compute d using d = r + 15, which gives d = 42.\n4. Compute j using j = d + 13, which gives j = 55.\n5. Compute i using i = j + 8, which gives i = 63.\n6. Compute k using k = i + 3, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 5,
"question": "Consider a system of variables where each variable is defined as follows: j = d + 13; n = x + 12; q = n + 13; x = e + 4; d = r + 15; t = a + 16; e = t + 7; l = 11; r = y + 5; a = l + 1; i = j + 8; y = l + 11; k = i + 3. If l = 11, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"f": "o + 15", "j": "f + 4", "l": "j + 6", "x": "l + 19", "t": "x + 7", "v": "t + 13", "q": "o + 17", "b": "q + 7", "d": "b + 18", "c": "d + 17", "e": "c + 19", "u": "e + 18", "o": 1}, "premises": {"o": 1}, "target": "v"}, "answer": {"steps": [["f", "o + 15", 16], ["j", "f + 4", 20], ["l", "j + 6", 26], ["x", "l + 19", 45], ["t", "x + 7", 52], ["v", "t + 13", 65]], "target_var_name": "v", "target_value": 65, "value_dict": {"o": 1, "f": 16, "j": 20, "l": 26, "x": 45, "t": 52, "v": 65}, "is_reverse": false}}
| 6
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = 1; b = q + 7; f = o + 15; l = j + 6; d = b + 18; u = e + 18; v = t + 13; q = o + 17; x = l + 19; j = f + 4; c = d + 17; t = x + 7; e = c + 19. If o = 1, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = o + 15, which gives f = 16.\n2. Compute j using j = f + 4, which gives j = 20.\n3. Compute l using l = j + 6, which gives l = 26.\n4. Compute x using x = l + 19, which gives x = 45.\n5. Compute t using t = x + 7, which gives t = 52.\n6. Compute v using v = t + 13, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 6,
"question": "Consider a system of variables where each variable is defined as follows: o = 1; b = q + 7; f = o + 15; l = j + 6; d = b + 18; u = e + 18; v = t + 13; q = o + 17; x = l + 19; j = f + 4; c = d + 17; t = x + 7; e = c + 19. If o = 1, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"b": "n + 10", "u": "b + 8", "m": "u + 14", "h": "m + 1", "t": "h + 10", "g": "t + 8", "s": "n + 13", "z": "s + 17", "q": "z + 12", "o": "q + 3", "c": "o + 6", "v": "c + 11", "n": 20}, "premises": {"n": 20}, "target": "g"}, "answer": {"steps": [["b", "n + 10", 30], ["u", "b + 8", 38], ["m", "u + 14", 52], ["h", "m + 1", 53], ["t", "h + 10", 63], ["g", "t + 8", 71]], "target_var_name": "g", "target_value": 71, "value_dict": {"n": 20, "b": 30, "u": 38, "m": 52, "h": 53, "t": 63, "g": 71}, "is_reverse": false}}
| 7
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = b + 8; n = 20; z = s + 17; s = n + 13; v = c + 11; b = n + 10; q = z + 12; c = o + 6; m = u + 14; g = t + 8; h = m + 1; o = q + 3; t = h + 10. If n = 20, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = n + 10, which gives b = 30.\n2. Compute u using u = b + 8, which gives u = 38.\n3. Compute m using m = u + 14, which gives m = 52.\n4. Compute h using h = m + 1, which gives h = 53.\n5. Compute t using t = h + 10, which gives t = 63.\n6. Compute g using g = t + 8, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 7,
"question": "Consider a system of variables where each variable is defined as follows: u = b + 8; n = 20; z = s + 17; s = n + 13; v = c + 11; b = n + 10; q = z + 12; c = o + 6; m = u + 14; g = t + 8; h = m + 1; o = q + 3; t = h + 10. If n = 20, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"i": "u + 9", "y": "i + 5", "v": "y + 10", "c": "v + 8", "p": "c + 4", "b": "p + 6", "w": "u + 17", "m": "w + 12", "h": "m + 17", "d": "h + 1", "f": "d + 9", "k": "f + 8", "u": 14}, "premises": {"u": 14}, "target": "b"}, "answer": {"steps": [["i", "u + 9", 23], ["y", "i + 5", 28], ["v", "y + 10", 38], ["c", "v + 8", 46], ["p", "c + 4", 50], ["b", "p + 6", 56]], "target_var_name": "b", "target_value": 56, "value_dict": {"u": 14, "i": 23, "y": 28, "v": 38, "c": 46, "p": 50, "b": 56}, "is_reverse": false}}
| 8
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = 14; c = v + 8; f = d + 9; i = u + 9; h = m + 17; d = h + 1; m = w + 12; p = c + 4; y = i + 5; w = u + 17; b = p + 6; v = y + 10; k = f + 8. If u = 14, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = u + 9, which gives i = 23.\n2. Compute y using y = i + 5, which gives y = 28.\n3. Compute v using v = y + 10, which gives v = 38.\n4. Compute c using c = v + 8, which gives c = 46.\n5. Compute p using p = c + 4, which gives p = 50.\n6. Compute b using b = p + 6, which gives b = 56.\n\nThus, the final answer is b = \\boxed{56}.",
"index": 8,
"question": "Consider a system of variables where each variable is defined as follows: u = 14; c = v + 8; f = d + 9; i = u + 9; h = m + 17; d = h + 1; m = w + 12; p = c + 4; y = i + 5; w = u + 17; b = p + 6; v = y + 10; k = f + 8. If u = 14, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"z": "j + 2", "l": "z + 16", "h": "l + 20", "t": "h + 10", "o": "t + 2", "p": "o + 3", "m": "j + 5", "g": "m + 9", "s": "g + 11", "e": "s + 2", "q": "e + 7", "c": "q + 1", "j": 20}, "premises": {"j": 20}, "target": "p"}, "answer": {"steps": [["z", "j + 2", 22], ["l", "z + 16", 38], ["h", "l + 20", 58], ["t", "h + 10", 68], ["o", "t + 2", 70], ["p", "o + 3", 73]], "target_var_name": "p", "target_value": 73, "value_dict": {"j": 20, "z": 22, "l": 38, "h": 58, "t": 68, "o": 70, "p": 73}, "is_reverse": false}}
| 9
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = m + 9; o = t + 2; m = j + 5; q = e + 7; c = q + 1; h = l + 20; e = s + 2; p = o + 3; s = g + 11; z = j + 2; j = 20; t = h + 10; l = z + 16. If j = 20, 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. Compute z using z = j + 2, which gives z = 22.\n2. Compute l using l = z + 16, which gives l = 38.\n3. Compute h using h = l + 20, which gives h = 58.\n4. Compute t using t = h + 10, which gives t = 68.\n5. Compute o using o = t + 2, which gives o = 70.\n6. Compute p using p = o + 3, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 9,
"question": "Consider a system of variables where each variable is defined as follows: g = m + 9; o = t + 2; m = j + 5; q = e + 7; c = q + 1; h = l + 20; e = s + 2; p = o + 3; s = g + 11; z = j + 2; j = 20; t = h + 10; l = z + 16. If j = 20, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"w": "y + 2", "x": "w + 16", "t": "x + 19", "o": "t + 6", "q": "o + 11", "l": "q + 9", "h": "y + 16", "z": "h + 19", "u": "z + 17", "g": "u + 10", "f": "g + 8", "i": "f + 8", "y": 8}, "premises": {"y": 8}, "target": "l"}, "answer": {"steps": [["w", "y + 2", 10], ["x", "w + 16", 26], ["t", "x + 19", 45], ["o", "t + 6", 51], ["q", "o + 11", 62], ["l", "q + 9", 71]], "target_var_name": "l", "target_value": 71, "value_dict": {"y": 8, "w": 10, "x": 26, "t": 45, "o": 51, "q": 62, "l": 71}, "is_reverse": false}}
| 10
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = u + 10; u = z + 17; t = x + 19; z = h + 19; w = y + 2; l = q + 9; h = y + 16; x = w + 16; o = t + 6; i = f + 8; f = g + 8; q = o + 11; y = 8. Given that y = 8, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = y + 2, which gives w = 10.\n2. Compute x using x = w + 16, which gives x = 26.\n3. Compute t using t = x + 19, which gives t = 45.\n4. Compute o using o = t + 6, which gives o = 51.\n5. Compute q using q = o + 11, which gives q = 62.\n6. Compute l using l = q + 9, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 10,
"question": "Suppose a collection of variables is related by the following definitions: g = u + 10; u = z + 17; t = x + 19; z = h + 19; w = y + 2; l = q + 9; h = y + 16; x = w + 16; o = t + 6; i = f + 8; f = g + 8; q = o + 11; y = 8. Given that y = 8, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"l": "j + 16", "i": "l + 13", "y": "i + 5", "u": "y + 14", "p": "u + 7", "v": "p + 20", "g": "j + 11", "d": "g + 8", "h": "d + 3", "c": "h + 3", "o": "c + 8", "s": "o + 14", "j": 20}, "premises": {"j": 20}, "target": "v"}, "answer": {"steps": [["p", "u + 7", "u + 27"], ["u", "y + 14", "y + 41"], ["y", "i + 5", "i + 46"], ["i", "l + 13", "l + 59"], ["l", "j + 16", "j + 75"], ["j", 20, "95"]], "target_var_name": "v", "target_value": 95, "value_dict": {"j": 20}, "is_reverse": true}}
| 11
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = h + 3; y = i + 5; u = y + 14; s = o + 14; d = g + 8; o = c + 8; l = j + 16; j = 20; i = l + 13; h = d + 3; g = j + 11; p = u + 7; v = p + 20. If j = 20, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 7 to v, which gives v = u + 27.\n2. Substitute u = y + 14 to v, which gives v = y + 41.\n3. Substitute y = i + 5 to v, which gives v = i + 46.\n4. Substitute i = l + 13 to v, which gives v = l + 59.\n5. Substitute l = j + 16 to v, which gives v = j + 75.\n6. Substitute j = 20 to v, which gives v = 95.\n\nThus, the final answer is v = \\boxed{95}.",
"index": 11,
"question": "Consider a system of variables where each variable is defined as follows: c = h + 3; y = i + 5; u = y + 14; s = o + 14; d = g + 8; o = c + 8; l = j + 16; j = 20; i = l + 13; h = d + 3; g = j + 11; p = u + 7; v = p + 20. If j = 20, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"b": "s + 12", "h": "b + 6", "j": "h + 11", "a": "j + 18", "g": "a + 9", "x": "g + 15", "t": "s + 2", "y": "t + 16", "d": "y + 4", "o": "d + 10", "c": "o + 9", "u": "c + 1", "s": 1}, "premises": {"s": 1}, "target": "x"}, "answer": {"steps": [["g", "a + 9", "a + 24"], ["a", "j + 18", "j + 42"], ["j", "h + 11", "h + 53"], ["h", "b + 6", "b + 59"], ["b", "s + 12", "s + 71"], ["s", 1, "72"]], "target_var_name": "x", "target_value": 72, "value_dict": {"s": 1}, "is_reverse": true}}
| 12
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = j + 18; x = g + 15; u = c + 1; s = 1; g = a + 9; y = t + 16; t = s + 2; o = d + 10; b = s + 12; c = o + 9; d = y + 4; h = b + 6; j = h + 11. If s = 1, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 9 to x, which gives x = a + 24.\n2. Substitute a = j + 18 to x, which gives x = j + 42.\n3. Substitute j = h + 11 to x, which gives x = h + 53.\n4. Substitute h = b + 6 to x, which gives x = b + 59.\n5. Substitute b = s + 12 to x, which gives x = s + 71.\n6. Substitute s = 1 to x, which gives x = 72.\n\nThus, the final answer is x = \\boxed{72}.",
"index": 12,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = j + 18; x = g + 15; u = c + 1; s = 1; g = a + 9; y = t + 16; t = s + 2; o = d + 10; b = s + 12; c = o + 9; d = y + 4; h = b + 6; j = h + 11. If s = 1, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"a": "l + 16", "j": "a + 2", "o": "j + 7", "f": "o + 7", "m": "f + 2", "w": "m + 5", "n": "l + 13", "k": "n + 7", "i": "k + 13", "h": "i + 7", "g": "h + 10", "e": "g + 1", "l": 20}, "premises": {"l": 20}, "target": "w"}, "answer": {"steps": [["m", "f + 2", "f + 7"], ["f", "o + 7", "o + 14"], ["o", "j + 7", "j + 21"], ["j", "a + 2", "a + 23"], ["a", "l + 16", "l + 39"], ["l", 20, "59"]], "target_var_name": "w", "target_value": 59, "value_dict": {"l": 20}, "is_reverse": true}}
| 13
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = h + 10; f = o + 7; a = l + 16; w = m + 5; k = n + 7; m = f + 2; j = a + 2; n = l + 13; h = i + 7; o = j + 7; l = 20; e = g + 1; i = k + 13. If l = 20, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 2 to w, which gives w = f + 7.\n2. Substitute f = o + 7 to w, which gives w = o + 14.\n3. Substitute o = j + 7 to w, which gives w = j + 21.\n4. Substitute j = a + 2 to w, which gives w = a + 23.\n5. Substitute a = l + 16 to w, which gives w = l + 39.\n6. Substitute l = 20 to w, which gives w = 59.\n\nThus, the final answer is w = \\boxed{59}.",
"index": 13,
"question": "Consider a system of variables where each variable is defined as follows: g = h + 10; f = o + 7; a = l + 16; w = m + 5; k = n + 7; m = f + 2; j = a + 2; n = l + 13; h = i + 7; o = j + 7; l = 20; e = g + 1; i = k + 13. If l = 20, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"z": "h + 4", "o": "z + 2", "r": "o + 18", "d": "r + 19", "q": "d + 11", "s": "q + 17", "n": "h + 10", "a": "n + 20", "i": "a + 8", "v": "i + 1", "k": "v + 7", "w": "k + 8", "h": 3}, "premises": {"h": 3}, "target": "s"}, "answer": {"steps": [["q", "d + 11", "d + 28"], ["d", "r + 19", "r + 47"], ["r", "o + 18", "o + 65"], ["o", "z + 2", "z + 67"], ["z", "h + 4", "h + 71"], ["h", 3, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"h": 3}, "is_reverse": true}}
| 14
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = h + 10; v = i + 1; w = k + 8; k = v + 7; i = a + 8; a = n + 20; d = r + 19; o = z + 2; q = d + 11; z = h + 4; s = q + 17; r = o + 18; h = 3. If h = 3, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 11 to s, which gives s = d + 28.\n2. Substitute d = r + 19 to s, which gives s = r + 47.\n3. Substitute r = o + 18 to s, which gives s = o + 65.\n4. Substitute o = z + 2 to s, which gives s = z + 67.\n5. Substitute z = h + 4 to s, which gives s = h + 71.\n6. Substitute h = 3 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 14,
"question": "Consider a system of variables where each variable is defined as follows: n = h + 10; v = i + 1; w = k + 8; k = v + 7; i = a + 8; a = n + 20; d = r + 19; o = z + 2; q = d + 11; z = h + 4; s = q + 17; r = o + 18; h = 3. If h = 3, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"z": "d + 3", "u": "z + 20", "e": "u + 4", "n": "e + 1", "f": "n + 9", "s": "f + 6", "y": "d + 13", "k": "y + 8", "h": "k + 9", "x": "h + 13", "c": "x + 18", "m": "c + 8", "d": 18}, "premises": {"d": 18}, "target": "s"}, "answer": {"steps": [["f", "n + 9", "n + 15"], ["n", "e + 1", "e + 16"], ["e", "u + 4", "u + 20"], ["u", "z + 20", "z + 40"], ["z", "d + 3", "d + 43"], ["d", 18, "61"]], "target_var_name": "s", "target_value": 61, "value_dict": {"d": 18}, "is_reverse": true}}
| 15
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 8; k = y + 8; z = d + 3; s = f + 6; d = 18; h = k + 9; y = d + 13; f = n + 9; n = e + 1; u = z + 20; e = u + 4; x = h + 13; c = x + 18. If d = 18, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 9 to s, which gives s = n + 15.\n2. Substitute n = e + 1 to s, which gives s = e + 16.\n3. Substitute e = u + 4 to s, which gives s = u + 20.\n4. Substitute u = z + 20 to s, which gives s = z + 40.\n5. Substitute z = d + 3 to s, which gives s = d + 43.\n6. Substitute d = 18 to s, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 15,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 8; k = y + 8; z = d + 3; s = f + 6; d = 18; h = k + 9; y = d + 13; f = n + 9; n = e + 1; u = z + 20; e = u + 4; x = h + 13; c = x + 18. If d = 18, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"d": "s + 19", "u": "d + 5", "h": "u + 8", "q": "h + 13", "v": "q + 3", "k": "v + 10", "m": "s + 7", "x": "m + 20", "a": "x + 18", "i": "a + 15", "y": "i + 3", "n": "y + 7", "s": 12}, "premises": {"s": 12}, "target": "k"}, "answer": {"steps": [["v", "q + 3", "q + 13"], ["q", "h + 13", "h + 26"], ["h", "u + 8", "u + 34"], ["u", "d + 5", "d + 39"], ["d", "s + 19", "s + 58"], ["s", 12, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"s": 12}, "is_reverse": true}}
| 16
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = x + 18; n = y + 7; m = s + 7; q = h + 13; k = v + 10; x = m + 20; u = d + 5; y = i + 3; i = a + 15; v = q + 3; d = s + 19; s = 12; h = u + 8. If s = 12, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 3 to k, which gives k = q + 13.\n2. Substitute q = h + 13 to k, which gives k = h + 26.\n3. Substitute h = u + 8 to k, which gives k = u + 34.\n4. Substitute u = d + 5 to k, which gives k = d + 39.\n5. Substitute d = s + 19 to k, which gives k = s + 58.\n6. Substitute s = 12 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 16,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = x + 18; n = y + 7; m = s + 7; q = h + 13; k = v + 10; x = m + 20; u = d + 5; y = i + 3; i = a + 15; v = q + 3; d = s + 19; s = 12; h = u + 8. If s = 12, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"w": "j + 12", "d": "w + 4", "y": "d + 8", "x": "y + 20", "z": "x + 13", "m": "z + 18", "g": "j + 18", "u": "g + 20", "k": "u + 18", "v": "k + 4", "o": "v + 3", "q": "o + 20", "j": 14}, "premises": {"j": 14}, "target": "m"}, "answer": {"steps": [["w", "j + 12", 26], ["d", "w + 4", 30], ["y", "d + 8", 38], ["x", "y + 20", 58], ["z", "x + 13", 71], ["m", "z + 18", 89]], "target_var_name": "m", "target_value": 89, "value_dict": {"j": 14, "w": 26, "d": 30, "y": 38, "x": 58, "z": 71, "m": 89}, "is_reverse": false}}
| 17
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = d + 8; v = k + 4; o = v + 3; k = u + 18; w = j + 12; q = o + 20; m = z + 18; g = j + 18; u = g + 20; x = y + 20; j = 14; d = w + 4; z = x + 13. Given that j = 14, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = j + 12, which gives w = 26.\n2. Compute d using d = w + 4, which gives d = 30.\n3. Compute y using y = d + 8, which gives y = 38.\n4. Compute x using x = y + 20, which gives x = 58.\n5. Compute z using z = x + 13, which gives z = 71.\n6. Compute m using m = z + 18, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 17,
"question": "Suppose a collection of variables is related by the following definitions: y = d + 8; v = k + 4; o = v + 3; k = u + 18; w = j + 12; q = o + 20; m = z + 18; g = j + 18; u = g + 20; x = y + 20; j = 14; d = w + 4; z = x + 13. Given that j = 14, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"m": "r + 9", "j": "m + 4", "k": "j + 18", "n": "k + 2", "i": "n + 9", "e": "i + 8", "q": "r + 20", "p": "q + 6", "y": "p + 17", "b": "y + 12", "l": "b + 16", "w": "l + 4", "r": 14}, "premises": {"r": 14}, "target": "e"}, "answer": {"steps": [["i", "n + 9", "n + 17"], ["n", "k + 2", "k + 19"], ["k", "j + 18", "j + 37"], ["j", "m + 4", "m + 41"], ["m", "r + 9", "r + 50"], ["r", 14, "64"]], "target_var_name": "e", "target_value": 64, "value_dict": {"r": 14}, "is_reverse": true}}
| 18
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 18; l = b + 16; p = q + 6; r = 14; w = l + 4; n = k + 2; i = n + 9; e = i + 8; b = y + 12; j = m + 4; y = p + 17; q = r + 20; m = r + 9. If r = 14, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 9 to e, which gives e = n + 17.\n2. Substitute n = k + 2 to e, which gives e = k + 19.\n3. Substitute k = j + 18 to e, which gives e = j + 37.\n4. Substitute j = m + 4 to e, which gives e = m + 41.\n5. Substitute m = r + 9 to e, which gives e = r + 50.\n6. Substitute r = 14 to e, which gives e = 64.\n\nThus, the final answer is e = \\boxed{64}.",
"index": 18,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 18; l = b + 16; p = q + 6; r = 14; w = l + 4; n = k + 2; i = n + 9; e = i + 8; b = y + 12; j = m + 4; y = p + 17; q = r + 20; m = r + 9. If r = 14, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"x": "v + 15", "q": "x + 8", "h": "q + 11", "c": "h + 3", "k": "c + 19", "n": "k + 2", "w": "v + 17", "z": "w + 7", "s": "z + 20", "m": "s + 5", "j": "m + 4", "g": "j + 9", "v": 14}, "premises": {"v": 14}, "target": "n"}, "answer": {"steps": [["k", "c + 19", "c + 21"], ["c", "h + 3", "h + 24"], ["h", "q + 11", "q + 35"], ["q", "x + 8", "x + 43"], ["x", "v + 15", "v + 58"], ["v", 14, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"v": 14}, "is_reverse": true}}
| 19
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = m + 4; g = j + 9; h = q + 11; w = v + 17; m = s + 5; z = w + 7; n = k + 2; x = v + 15; k = c + 19; s = z + 20; v = 14; c = h + 3; q = x + 8. If v = 14, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 19 to n, which gives n = c + 21.\n2. Substitute c = h + 3 to n, which gives n = h + 24.\n3. Substitute h = q + 11 to n, which gives n = q + 35.\n4. Substitute q = x + 8 to n, which gives n = x + 43.\n5. Substitute x = v + 15 to n, which gives n = v + 58.\n6. Substitute v = 14 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 19,
"question": "Consider a system of variables where each variable is defined as follows: j = m + 4; g = j + 9; h = q + 11; w = v + 17; m = s + 5; z = w + 7; n = k + 2; x = v + 15; k = c + 19; s = z + 20; v = 14; c = h + 3; q = x + 8. If v = 14, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"r": "c + 8", "j": "r + 18", "d": "j + 19", "x": "d + 11", "n": "x + 5", "p": "n + 10", "w": "c + 17", "h": "w + 14", "l": "h + 10", "t": "l + 4", "g": "t + 5", "q": "g + 3", "c": 6}, "premises": {"c": 6}, "target": "p"}, "answer": {"steps": [["n", "x + 5", "x + 15"], ["x", "d + 11", "d + 26"], ["d", "j + 19", "j + 45"], ["j", "r + 18", "r + 63"], ["r", "c + 8", "c + 71"], ["c", 6, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"c": 6}, "is_reverse": true}}
| 20
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = t + 5; t = l + 4; h = w + 14; l = h + 10; r = c + 8; q = g + 3; x = d + 11; p = n + 10; n = x + 5; d = j + 19; w = c + 17; c = 6; j = r + 18. Given that c = 6, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 5 to p, which gives p = x + 15.\n2. Substitute x = d + 11 to p, which gives p = d + 26.\n3. Substitute d = j + 19 to p, which gives p = j + 45.\n4. Substitute j = r + 18 to p, which gives p = r + 63.\n5. Substitute r = c + 8 to p, which gives p = c + 71.\n6. Substitute c = 6 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 20,
"question": "Suppose a collection of variables is related by the following definitions: g = t + 5; t = l + 4; h = w + 14; l = h + 10; r = c + 8; q = g + 3; x = d + 11; p = n + 10; n = x + 5; d = j + 19; w = c + 17; c = 6; j = r + 18. Given that c = 6, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"s": "p + 17", "r": "s + 18", "a": "r + 3", "f": "a + 6", "k": "f + 14", "l": "k + 13", "o": "p + 17", "j": "o + 17", "x": "j + 5", "c": "x + 8", "e": "c + 20", "g": "e + 11", "p": 6}, "premises": {"p": 6}, "target": "l"}, "answer": {"steps": [["s", "p + 17", 23], ["r", "s + 18", 41], ["a", "r + 3", 44], ["f", "a + 6", 50], ["k", "f + 14", 64], ["l", "k + 13", 77]], "target_var_name": "l", "target_value": 77, "value_dict": {"p": 6, "s": 23, "r": 41, "a": 44, "f": 50, "k": 64, "l": 77}, "is_reverse": false}}
| 21
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = o + 17; k = f + 14; e = c + 20; x = j + 5; a = r + 3; g = e + 11; c = x + 8; f = a + 6; l = k + 13; p = 6; o = p + 17; r = s + 18; s = p + 17. Given that p = 6, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = p + 17, which gives s = 23.\n2. Compute r using r = s + 18, which gives r = 41.\n3. Compute a using a = r + 3, which gives a = 44.\n4. Compute f using f = a + 6, which gives f = 50.\n5. Compute k using k = f + 14, which gives k = 64.\n6. Compute l using l = k + 13, which gives l = 77.\n\nThus, the final answer is l = \\boxed{77}.",
"index": 21,
"question": "Suppose a collection of variables is related by the following definitions: j = o + 17; k = f + 14; e = c + 20; x = j + 5; a = r + 3; g = e + 11; c = x + 8; f = a + 6; l = k + 13; p = 6; o = p + 17; r = s + 18; s = p + 17. Given that p = 6, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"j": "e + 1", "x": "j + 15", "p": "x + 18", "g": "p + 11", "v": "g + 20", "c": "v + 3", "k": "e + 2", "w": "k + 3", "i": "w + 12", "h": "i + 16", "n": "h + 6", "t": "n + 8", "e": 9}, "premises": {"e": 9}, "target": "c"}, "answer": {"steps": [["v", "g + 20", "g + 23"], ["g", "p + 11", "p + 34"], ["p", "x + 18", "x + 52"], ["x", "j + 15", "j + 67"], ["j", "e + 1", "e + 68"], ["e", 9, "77"]], "target_var_name": "c", "target_value": 77, "value_dict": {"e": 9}, "is_reverse": true}}
| 22
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 15; n = h + 6; i = w + 12; g = p + 11; t = n + 8; j = e + 1; v = g + 20; p = x + 18; c = v + 3; k = e + 2; w = k + 3; h = i + 16; e = 9. If e = 9, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 20 to c, which gives c = g + 23.\n2. Substitute g = p + 11 to c, which gives c = p + 34.\n3. Substitute p = x + 18 to c, which gives c = x + 52.\n4. Substitute x = j + 15 to c, which gives c = j + 67.\n5. Substitute j = e + 1 to c, which gives c = e + 68.\n6. Substitute e = 9 to c, which gives c = 77.\n\nThus, the final answer is c = \\boxed{77}.",
"index": 22,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 15; n = h + 6; i = w + 12; g = p + 11; t = n + 8; j = e + 1; v = g + 20; p = x + 18; c = v + 3; k = e + 2; w = k + 3; h = i + 16; e = 9. If e = 9, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"n": "b + 8", "j": "n + 13", "e": "j + 20", "f": "e + 7", "u": "f + 6", "l": "u + 9", "k": "b + 13", "y": "k + 15", "v": "y + 1", "x": "v + 5", "d": "x + 16", "a": "d + 4", "b": 14}, "premises": {"b": 14}, "target": "l"}, "answer": {"steps": [["n", "b + 8", 22], ["j", "n + 13", 35], ["e", "j + 20", 55], ["f", "e + 7", 62], ["u", "f + 6", 68], ["l", "u + 9", 77]], "target_var_name": "l", "target_value": 77, "value_dict": {"b": 14, "n": 22, "j": 35, "e": 55, "f": 62, "u": 68, "l": 77}, "is_reverse": false}}
| 23
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = b + 13; j = n + 13; u = f + 6; b = 14; d = x + 16; f = e + 7; y = k + 15; n = b + 8; l = u + 9; a = d + 4; e = j + 20; x = v + 5; v = y + 1. Given that b = 14, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = b + 8, which gives n = 22.\n2. Compute j using j = n + 13, which gives j = 35.\n3. Compute e using e = j + 20, which gives e = 55.\n4. Compute f using f = e + 7, which gives f = 62.\n5. Compute u using u = f + 6, which gives u = 68.\n6. Compute l using l = u + 9, which gives l = 77.\n\nThus, the final answer is l = \\boxed{77}.",
"index": 23,
"question": "Suppose a collection of variables is related by the following definitions: k = b + 13; j = n + 13; u = f + 6; b = 14; d = x + 16; f = e + 7; y = k + 15; n = b + 8; l = u + 9; a = d + 4; e = j + 20; x = v + 5; v = y + 1. Given that b = 14, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"f": "b + 13", "j": "f + 8", "h": "j + 19", "k": "h + 19", "d": "k + 10", "x": "d + 7", "q": "b + 11", "s": "q + 5", "y": "s + 15", "o": "y + 6", "v": "o + 14", "e": "v + 6", "b": 13}, "premises": {"b": 13}, "target": "x"}, "answer": {"steps": [["f", "b + 13", 26], ["j", "f + 8", 34], ["h", "j + 19", 53], ["k", "h + 19", 72], ["d", "k + 10", 82], ["x", "d + 7", 89]], "target_var_name": "x", "target_value": 89, "value_dict": {"b": 13, "f": 26, "j": 34, "h": 53, "k": 72, "d": 82, "x": 89}, "is_reverse": false}}
| 24
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = b + 11; x = d + 7; h = j + 19; o = y + 6; b = 13; y = s + 15; e = v + 6; j = f + 8; k = h + 19; f = b + 13; d = k + 10; v = o + 14; s = q + 5. Given that b = 13, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = b + 13, which gives f = 26.\n2. Compute j using j = f + 8, which gives j = 34.\n3. Compute h using h = j + 19, which gives h = 53.\n4. Compute k using k = h + 19, which gives k = 72.\n5. Compute d using d = k + 10, which gives d = 82.\n6. Compute x using x = d + 7, which gives x = 89.\n\nThus, the final answer is x = \\boxed{89}.",
"index": 24,
"question": "Suppose a collection of variables is related by the following definitions: q = b + 11; x = d + 7; h = j + 19; o = y + 6; b = 13; y = s + 15; e = v + 6; j = f + 8; k = h + 19; f = b + 13; d = k + 10; v = o + 14; s = q + 5. Given that b = 13, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"h": "s + 16", "w": "h + 20", "b": "w + 6", "y": "b + 6", "i": "y + 15", "c": "i + 16", "k": "s + 19", "d": "k + 20", "o": "d + 8", "q": "o + 2", "z": "q + 13", "j": "z + 11", "s": 8}, "premises": {"s": 8}, "target": "c"}, "answer": {"steps": [["i", "y + 15", "y + 31"], ["y", "b + 6", "b + 37"], ["b", "w + 6", "w + 43"], ["w", "h + 20", "h + 63"], ["h", "s + 16", "s + 79"], ["s", 8, "87"]], "target_var_name": "c", "target_value": 87, "value_dict": {"s": 8}, "is_reverse": true}}
| 25
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = w + 6; s = 8; q = o + 2; h = s + 16; i = y + 15; k = s + 19; j = z + 11; y = b + 6; c = i + 16; o = d + 8; w = h + 20; d = k + 20; z = q + 13. Given that s = 8, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 15 to c, which gives c = y + 31.\n2. Substitute y = b + 6 to c, which gives c = b + 37.\n3. Substitute b = w + 6 to c, which gives c = w + 43.\n4. Substitute w = h + 20 to c, which gives c = h + 63.\n5. Substitute h = s + 16 to c, which gives c = s + 79.\n6. Substitute s = 8 to c, which gives c = 87.\n\nThus, the final answer is c = \\boxed{87}.",
"index": 25,
"question": "Suppose a collection of variables is related by the following definitions: b = w + 6; s = 8; q = o + 2; h = s + 16; i = y + 15; k = s + 19; j = z + 11; y = b + 6; c = i + 16; o = d + 8; w = h + 20; d = k + 20; z = q + 13. Given that s = 8, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"k": "q + 14", "p": "k + 9", "h": "p + 10", "t": "h + 1", "i": "t + 5", "c": "i + 18", "x": "q + 9", "w": "x + 16", "z": "w + 16", "y": "z + 2", "v": "y + 10", "n": "v + 15", "q": 9}, "premises": {"q": 9}, "target": "c"}, "answer": {"steps": [["i", "t + 5", "t + 23"], ["t", "h + 1", "h + 24"], ["h", "p + 10", "p + 34"], ["p", "k + 9", "k + 43"], ["k", "q + 14", "q + 57"], ["q", 9, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"q": 9}, "is_reverse": true}}
| 26
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = y + 10; i = t + 5; q = 9; y = z + 2; t = h + 1; c = i + 18; z = w + 16; x = q + 9; w = x + 16; k = q + 14; h = p + 10; p = k + 9; n = v + 15. If q = 9, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 5 to c, which gives c = t + 23.\n2. Substitute t = h + 1 to c, which gives c = h + 24.\n3. Substitute h = p + 10 to c, which gives c = p + 34.\n4. Substitute p = k + 9 to c, which gives c = k + 43.\n5. Substitute k = q + 14 to c, which gives c = q + 57.\n6. Substitute q = 9 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 26,
"question": "Consider a system of variables where each variable is defined as follows: v = y + 10; i = t + 5; q = 9; y = z + 2; t = h + 1; c = i + 18; z = w + 16; x = q + 9; w = x + 16; k = q + 14; h = p + 10; p = k + 9; n = v + 15. If q = 9, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"n": "u + 18", "g": "n + 5", "y": "g + 16", "k": "y + 12", "z": "k + 16", "p": "z + 13", "w": "u + 14", "h": "w + 2", "b": "h + 10", "s": "b + 19", "j": "s + 7", "v": "j + 9", "u": 7}, "premises": {"u": 7}, "target": "p"}, "answer": {"steps": [["z", "k + 16", "k + 29"], ["k", "y + 12", "y + 41"], ["y", "g + 16", "g + 57"], ["g", "n + 5", "n + 62"], ["n", "u + 18", "u + 80"], ["u", 7, "87"]], "target_var_name": "p", "target_value": 87, "value_dict": {"u": 7}, "is_reverse": true}}
| 27
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = 7; v = j + 9; w = u + 14; p = z + 13; s = b + 19; y = g + 16; j = s + 7; k = y + 12; g = n + 5; b = h + 10; z = k + 16; n = u + 18; h = w + 2. If u = 7, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 16 to p, which gives p = k + 29.\n2. Substitute k = y + 12 to p, which gives p = y + 41.\n3. Substitute y = g + 16 to p, which gives p = g + 57.\n4. Substitute g = n + 5 to p, which gives p = n + 62.\n5. Substitute n = u + 18 to p, which gives p = u + 80.\n6. Substitute u = 7 to p, which gives p = 87.\n\nThus, the final answer is p = \\boxed{87}.",
"index": 27,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 7; v = j + 9; w = u + 14; p = z + 13; s = b + 19; y = g + 16; j = s + 7; k = y + 12; g = n + 5; b = h + 10; z = k + 16; n = u + 18; h = w + 2. If u = 7, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"y": "o + 4", "g": "y + 13", "b": "g + 14", "f": "b + 2", "u": "f + 17", "v": "u + 1", "z": "o + 20", "w": "z + 8", "d": "w + 2", "s": "d + 18", "k": "s + 1", "t": "k + 8", "o": 20}, "premises": {"o": 20}, "target": "v"}, "answer": {"steps": [["y", "o + 4", 24], ["g", "y + 13", 37], ["b", "g + 14", 51], ["f", "b + 2", 53], ["u", "f + 17", 70], ["v", "u + 1", 71]], "target_var_name": "v", "target_value": 71, "value_dict": {"o": 20, "y": 24, "g": 37, "b": 51, "f": 53, "u": 70, "v": 71}, "is_reverse": false}}
| 28
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = d + 18; b = g + 14; z = o + 20; k = s + 1; g = y + 13; y = o + 4; d = w + 2; t = k + 8; o = 20; v = u + 1; f = b + 2; u = f + 17; w = z + 8. If o = 20, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = o + 4, which gives y = 24.\n2. Compute g using g = y + 13, which gives g = 37.\n3. Compute b using b = g + 14, which gives b = 51.\n4. Compute f using f = b + 2, which gives f = 53.\n5. Compute u using u = f + 17, which gives u = 70.\n6. Compute v using v = u + 1, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 28,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = d + 18; b = g + 14; z = o + 20; k = s + 1; g = y + 13; y = o + 4; d = w + 2; t = k + 8; o = 20; v = u + 1; f = b + 2; u = f + 17; w = z + 8. If o = 20, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"j": "d + 7", "n": "j + 10", "v": "n + 19", "w": "v + 3", "r": "w + 18", "q": "r + 10", "b": "d + 8", "s": "b + 8", "a": "s + 13", "o": "a + 9", "t": "o + 5", "m": "t + 2", "d": 14}, "premises": {"d": 14}, "target": "q"}, "answer": {"steps": [["r", "w + 18", "w + 28"], ["w", "v + 3", "v + 31"], ["v", "n + 19", "n + 50"], ["n", "j + 10", "j + 60"], ["j", "d + 7", "d + 67"], ["d", 14, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"d": 14}, "is_reverse": true}}
| 29
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 13; j = d + 7; m = t + 2; d = 14; v = n + 19; n = j + 10; w = v + 3; q = r + 10; r = w + 18; o = a + 9; t = o + 5; b = d + 8; s = b + 8. If d = 14, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 18 to q, which gives q = w + 28.\n2. Substitute w = v + 3 to q, which gives q = v + 31.\n3. Substitute v = n + 19 to q, which gives q = n + 50.\n4. Substitute n = j + 10 to q, which gives q = j + 60.\n5. Substitute j = d + 7 to q, which gives q = d + 67.\n6. Substitute d = 14 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 29,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 13; j = d + 7; m = t + 2; d = 14; v = n + 19; n = j + 10; w = v + 3; q = r + 10; r = w + 18; o = a + 9; t = o + 5; b = d + 8; s = b + 8. If d = 14, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 2", "s": "p + 10", "c": "s + 9", "n": "c + 3", "a": "n + 3", "t": "a + 18", "k": "m + 5", "u": "k + 19", "f": "u + 19", "j": "f + 13", "r": "j + 14", "y": "r + 20", "m": 14}, "premises": {"m": 14}, "target": "t"}, "answer": {"steps": [["p", "m + 2", 16], ["s", "p + 10", 26], ["c", "s + 9", 35], ["n", "c + 3", 38], ["a", "n + 3", 41], ["t", "a + 18", 59]], "target_var_name": "t", "target_value": 59, "value_dict": {"m": 14, "p": 16, "s": 26, "c": 35, "n": 38, "a": 41, "t": 59}, "is_reverse": false}}
| 30
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = s + 9; k = m + 5; t = a + 18; f = u + 19; r = j + 14; p = m + 2; n = c + 3; u = k + 19; s = p + 10; y = r + 20; m = 14; j = f + 13; a = n + 3. If m = 14, 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. Compute p using p = m + 2, which gives p = 16.\n2. Compute s using s = p + 10, which gives s = 26.\n3. Compute c using c = s + 9, which gives c = 35.\n4. Compute n using n = c + 3, which gives n = 38.\n5. Compute a using a = n + 3, which gives a = 41.\n6. Compute t using t = a + 18, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 30,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = s + 9; k = m + 5; t = a + 18; f = u + 19; r = j + 14; p = m + 2; n = c + 3; u = k + 19; s = p + 10; y = r + 20; m = 14; j = f + 13; a = n + 3. If m = 14, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"c": "t + 17", "d": "c + 5", "l": "d + 1", "j": "l + 18", "b": "j + 5", "m": "b + 12", "f": "t + 8", "r": "f + 1", "y": "r + 14", "q": "y + 5", "o": "q + 15", "n": "o + 13", "t": 18}, "premises": {"t": 18}, "target": "m"}, "answer": {"steps": [["c", "t + 17", 35], ["d", "c + 5", 40], ["l", "d + 1", 41], ["j", "l + 18", 59], ["b", "j + 5", 64], ["m", "b + 12", 76]], "target_var_name": "m", "target_value": 76, "value_dict": {"t": 18, "c": 35, "d": 40, "l": 41, "j": 59, "b": 64, "m": 76}, "is_reverse": false}}
| 31
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = f + 1; c = t + 17; y = r + 14; f = t + 8; d = c + 5; l = d + 1; b = j + 5; o = q + 15; t = 18; j = l + 18; q = y + 5; m = b + 12; n = o + 13. If t = 18, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = t + 17, which gives c = 35.\n2. Compute d using d = c + 5, which gives d = 40.\n3. Compute l using l = d + 1, which gives l = 41.\n4. Compute j using j = l + 18, which gives j = 59.\n5. Compute b using b = j + 5, which gives b = 64.\n6. Compute m using m = b + 12, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 31,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = f + 1; c = t + 17; y = r + 14; f = t + 8; d = c + 5; l = d + 1; b = j + 5; o = q + 15; t = 18; j = l + 18; q = y + 5; m = b + 12; n = o + 13. If t = 18, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"z": "q + 19", "t": "z + 14", "f": "t + 13", "s": "f + 3", "c": "s + 17", "j": "c + 3", "d": "q + 20", "w": "d + 7", "o": "w + 15", "a": "o + 2", "p": "a + 9", "i": "p + 5", "q": 8}, "premises": {"q": 8}, "target": "j"}, "answer": {"steps": [["c", "s + 17", "s + 20"], ["s", "f + 3", "f + 23"], ["f", "t + 13", "t + 36"], ["t", "z + 14", "z + 50"], ["z", "q + 19", "q + 69"], ["q", 8, "77"]], "target_var_name": "j", "target_value": 77, "value_dict": {"q": 8}, "is_reverse": true}}
| 32
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = f + 3; w = d + 7; i = p + 5; d = q + 20; o = w + 15; c = s + 17; p = a + 9; t = z + 14; a = o + 2; q = 8; f = t + 13; z = q + 19; j = c + 3. If q = 8, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 17 to j, which gives j = s + 20.\n2. Substitute s = f + 3 to j, which gives j = f + 23.\n3. Substitute f = t + 13 to j, which gives j = t + 36.\n4. Substitute t = z + 14 to j, which gives j = z + 50.\n5. Substitute z = q + 19 to j, which gives j = q + 69.\n6. Substitute q = 8 to j, which gives j = 77.\n\nThus, the final answer is j = \\boxed{77}.",
"index": 32,
"question": "Consider a system of variables where each variable is defined as follows: s = f + 3; w = d + 7; i = p + 5; d = q + 20; o = w + 15; c = s + 17; p = a + 9; t = z + 14; a = o + 2; q = 8; f = t + 13; z = q + 19; j = c + 3. If q = 8, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"x": "m + 15", "v": "x + 8", "z": "v + 19", "w": "z + 18", "f": "w + 16", "e": "f + 9", "b": "m + 1", "l": "b + 7", "j": "l + 6", "i": "j + 6", "n": "i + 9", "q": "n + 13", "m": 3}, "premises": {"m": 3}, "target": "e"}, "answer": {"steps": [["f", "w + 16", "w + 25"], ["w", "z + 18", "z + 43"], ["z", "v + 19", "v + 62"], ["v", "x + 8", "x + 70"], ["x", "m + 15", "m + 85"], ["m", 3, "88"]], "target_var_name": "e", "target_value": 88, "value_dict": {"m": 3}, "is_reverse": true}}
| 33
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 1; z = v + 19; i = j + 6; q = n + 13; x = m + 15; m = 3; v = x + 8; w = z + 18; n = i + 9; f = w + 16; e = f + 9; l = b + 7; j = l + 6. Given that m = 3, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 16 to e, which gives e = w + 25.\n2. Substitute w = z + 18 to e, which gives e = z + 43.\n3. Substitute z = v + 19 to e, which gives e = v + 62.\n4. Substitute v = x + 8 to e, which gives e = x + 70.\n5. Substitute x = m + 15 to e, which gives e = m + 85.\n6. Substitute m = 3 to e, which gives e = 88.\n\nThus, the final answer is e = \\boxed{88}.",
"index": 33,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 1; z = v + 19; i = j + 6; q = n + 13; x = m + 15; m = 3; v = x + 8; w = z + 18; n = i + 9; f = w + 16; e = f + 9; l = b + 7; j = l + 6. Given that m = 3, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"r": "s + 9", "j": "r + 7", "v": "j + 16", "z": "v + 3", "k": "z + 2", "o": "k + 9", "w": "s + 3", "i": "w + 6", "e": "i + 4", "u": "e + 14", "l": "u + 13", "c": "l + 11", "s": 8}, "premises": {"s": 8}, "target": "o"}, "answer": {"steps": [["k", "z + 2", "z + 11"], ["z", "v + 3", "v + 14"], ["v", "j + 16", "j + 30"], ["j", "r + 7", "r + 37"], ["r", "s + 9", "s + 46"], ["s", 8, "54"]], "target_var_name": "o", "target_value": 54, "value_dict": {"s": 8}, "is_reverse": true}}
| 34
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = i + 4; j = r + 7; o = k + 9; l = u + 13; i = w + 6; w = s + 3; u = e + 14; r = s + 9; s = 8; c = l + 11; z = v + 3; v = j + 16; k = z + 2. If s = 8, determine 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 k = z + 2 to o, which gives o = z + 11.\n2. Substitute z = v + 3 to o, which gives o = v + 14.\n3. Substitute v = j + 16 to o, which gives o = j + 30.\n4. Substitute j = r + 7 to o, which gives o = r + 37.\n5. Substitute r = s + 9 to o, which gives o = s + 46.\n6. Substitute s = 8 to o, which gives o = 54.\n\nThus, the final answer is o = \\boxed{54}.",
"index": 34,
"question": "Consider a system of variables where each variable is defined as follows: e = i + 4; j = r + 7; o = k + 9; l = u + 13; i = w + 6; w = s + 3; u = e + 14; r = s + 9; s = 8; c = l + 11; z = v + 3; v = j + 16; k = z + 2. If s = 8, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"d": "h + 8", "n": "d + 3", "f": "n + 2", "k": "f + 5", "i": "k + 5", "l": "i + 9", "y": "h + 7", "m": "y + 11", "v": "m + 10", "c": "v + 20", "j": "c + 15", "r": "j + 19", "h": 17}, "premises": {"h": 17}, "target": "l"}, "answer": {"steps": [["d", "h + 8", 25], ["n", "d + 3", 28], ["f", "n + 2", 30], ["k", "f + 5", 35], ["i", "k + 5", 40], ["l", "i + 9", 49]], "target_var_name": "l", "target_value": 49, "value_dict": {"h": 17, "d": 25, "n": 28, "f": 30, "k": 35, "i": 40, "l": 49}, "is_reverse": false}}
| 35
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = d + 3; l = i + 9; d = h + 8; f = n + 2; j = c + 15; h = 17; v = m + 10; r = j + 19; y = h + 7; c = v + 20; m = y + 11; k = f + 5; i = k + 5. Given that h = 17, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = h + 8, which gives d = 25.\n2. Compute n using n = d + 3, which gives n = 28.\n3. Compute f using f = n + 2, which gives f = 30.\n4. Compute k using k = f + 5, which gives k = 35.\n5. Compute i using i = k + 5, which gives i = 40.\n6. Compute l using l = i + 9, which gives l = 49.\n\nThus, the final answer is l = \\boxed{49}.",
"index": 35,
"question": "Suppose a collection of variables is related by the following definitions: n = d + 3; l = i + 9; d = h + 8; f = n + 2; j = c + 15; h = 17; v = m + 10; r = j + 19; y = h + 7; c = v + 20; m = y + 11; k = f + 5; i = k + 5. Given that h = 17, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"f": "n + 5", "q": "f + 11", "h": "q + 19", "t": "h + 17", "l": "t + 1", "z": "l + 19", "r": "n + 2", "i": "r + 19", "c": "i + 7", "p": "c + 1", "j": "p + 2", "m": "j + 13", "n": 20}, "premises": {"n": 20}, "target": "z"}, "answer": {"steps": [["l", "t + 1", "t + 20"], ["t", "h + 17", "h + 37"], ["h", "q + 19", "q + 56"], ["q", "f + 11", "f + 67"], ["f", "n + 5", "n + 72"], ["n", 20, "92"]], "target_var_name": "z", "target_value": 92, "value_dict": {"n": 20}, "is_reverse": true}}
| 36
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 17; n = 20; z = l + 19; i = r + 19; p = c + 1; j = p + 2; h = q + 19; f = n + 5; l = t + 1; c = i + 7; r = n + 2; m = j + 13; q = f + 11. If n = 20, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 1 to z, which gives z = t + 20.\n2. Substitute t = h + 17 to z, which gives z = h + 37.\n3. Substitute h = q + 19 to z, which gives z = q + 56.\n4. Substitute q = f + 11 to z, which gives z = f + 67.\n5. Substitute f = n + 5 to z, which gives z = n + 72.\n6. Substitute n = 20 to z, which gives z = 92.\n\nThus, the final answer is z = \\boxed{92}.",
"index": 36,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 17; n = 20; z = l + 19; i = r + 19; p = c + 1; j = p + 2; h = q + 19; f = n + 5; l = t + 1; c = i + 7; r = n + 2; m = j + 13; q = f + 11. If n = 20, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"h": "p + 20", "a": "h + 5", "l": "a + 1", "c": "l + 14", "w": "c + 14", "e": "w + 2", "s": "p + 16", "g": "s + 12", "k": "g + 16", "f": "k + 19", "m": "f + 11", "r": "m + 7", "p": 6}, "premises": {"p": 6}, "target": "e"}, "answer": {"steps": [["h", "p + 20", 26], ["a", "h + 5", 31], ["l", "a + 1", 32], ["c", "l + 14", 46], ["w", "c + 14", 60], ["e", "w + 2", 62]], "target_var_name": "e", "target_value": 62, "value_dict": {"p": 6, "h": 26, "a": 31, "l": 32, "c": 46, "w": 60, "e": 62}, "is_reverse": false}}
| 37
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = f + 11; w = c + 14; h = p + 20; f = k + 19; c = l + 14; a = h + 5; p = 6; r = m + 7; s = p + 16; g = s + 12; e = w + 2; l = a + 1; k = g + 16. Given that p = 6, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = p + 20, which gives h = 26.\n2. Compute a using a = h + 5, which gives a = 31.\n3. Compute l using l = a + 1, which gives l = 32.\n4. Compute c using c = l + 14, which gives c = 46.\n5. Compute w using w = c + 14, which gives w = 60.\n6. Compute e using e = w + 2, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 37,
"question": "Suppose a collection of variables is related by the following definitions: m = f + 11; w = c + 14; h = p + 20; f = k + 19; c = l + 14; a = h + 5; p = 6; r = m + 7; s = p + 16; g = s + 12; e = w + 2; l = a + 1; k = g + 16. Given that p = 6, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"f": "w + 10", "m": "f + 19", "p": "m + 18", "i": "p + 8", "x": "i + 8", "c": "x + 10", "l": "w + 2", "j": "l + 12", "q": "j + 12", "v": "q + 15", "t": "v + 18", "s": "t + 6", "w": 5}, "premises": {"w": 5}, "target": "c"}, "answer": {"steps": [["x", "i + 8", "i + 18"], ["i", "p + 8", "p + 26"], ["p", "m + 18", "m + 44"], ["m", "f + 19", "f + 63"], ["f", "w + 10", "w + 73"], ["w", 5, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"w": 5}, "is_reverse": true}}
| 38
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = 5; x = i + 8; p = m + 18; j = l + 12; m = f + 19; q = j + 12; v = q + 15; f = w + 10; i = p + 8; l = w + 2; s = t + 6; c = x + 10; t = v + 18. Given that w = 5, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 8 to c, which gives c = i + 18.\n2. Substitute i = p + 8 to c, which gives c = p + 26.\n3. Substitute p = m + 18 to c, which gives c = m + 44.\n4. Substitute m = f + 19 to c, which gives c = f + 63.\n5. Substitute f = w + 10 to c, which gives c = w + 73.\n6. Substitute w = 5 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 38,
"question": "Suppose a collection of variables is related by the following definitions: w = 5; x = i + 8; p = m + 18; j = l + 12; m = f + 19; q = j + 12; v = q + 15; f = w + 10; i = p + 8; l = w + 2; s = t + 6; c = x + 10; t = v + 18. Given that w = 5, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"g": "o + 13", "v": "g + 15", "l": "v + 9", "h": "l + 9", "c": "h + 3", "b": "c + 9", "a": "o + 3", "d": "a + 4", "w": "d + 19", "y": "w + 3", "i": "y + 19", "p": "i + 11", "o": 1}, "premises": {"o": 1}, "target": "b"}, "answer": {"steps": [["g", "o + 13", 14], ["v", "g + 15", 29], ["l", "v + 9", 38], ["h", "l + 9", 47], ["c", "h + 3", 50], ["b", "c + 9", 59]], "target_var_name": "b", "target_value": 59, "value_dict": {"o": 1, "g": 14, "v": 29, "l": 38, "h": 47, "c": 50, "b": 59}, "is_reverse": false}}
| 39
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = a + 4; v = g + 15; a = o + 3; y = w + 3; i = y + 19; o = 1; b = c + 9; c = h + 3; g = o + 13; p = i + 11; w = d + 19; l = v + 9; h = l + 9. If o = 1, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = o + 13, which gives g = 14.\n2. Compute v using v = g + 15, which gives v = 29.\n3. Compute l using l = v + 9, which gives l = 38.\n4. Compute h using h = l + 9, which gives h = 47.\n5. Compute c using c = h + 3, which gives c = 50.\n6. Compute b using b = c + 9, which gives b = 59.\n\nThus, the final answer is b = \\boxed{59}.",
"index": 39,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = a + 4; v = g + 15; a = o + 3; y = w + 3; i = y + 19; o = 1; b = c + 9; c = h + 3; g = o + 13; p = i + 11; w = d + 19; l = v + 9; h = l + 9. If o = 1, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"z": "t + 16", "m": "z + 4", "n": "m + 19", "v": "n + 12", "u": "v + 18", "r": "u + 3", "x": "t + 18", "e": "x + 13", "f": "e + 9", "g": "f + 9", "o": "g + 15", "i": "o + 8", "t": 9}, "premises": {"t": 9}, "target": "r"}, "answer": {"steps": [["z", "t + 16", 25], ["m", "z + 4", 29], ["n", "m + 19", 48], ["v", "n + 12", 60], ["u", "v + 18", 78], ["r", "u + 3", 81]], "target_var_name": "r", "target_value": 81, "value_dict": {"t": 9, "z": 25, "m": 29, "n": 48, "v": 60, "u": 78, "r": 81}, "is_reverse": false}}
| 40
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = x + 13; t = 9; f = e + 9; n = m + 19; i = o + 8; x = t + 18; z = t + 16; g = f + 9; o = g + 15; r = u + 3; v = n + 12; u = v + 18; m = z + 4. Given that t = 9, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = t + 16, which gives z = 25.\n2. Compute m using m = z + 4, which gives m = 29.\n3. Compute n using n = m + 19, which gives n = 48.\n4. Compute v using v = n + 12, which gives v = 60.\n5. Compute u using u = v + 18, which gives u = 78.\n6. Compute r using r = u + 3, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 40,
"question": "Suppose a collection of variables is related by the following definitions: e = x + 13; t = 9; f = e + 9; n = m + 19; i = o + 8; x = t + 18; z = t + 16; g = f + 9; o = g + 15; r = u + 3; v = n + 12; u = v + 18; m = z + 4. Given that t = 9, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"k": "b + 12", "i": "k + 9", "f": "i + 4", "e": "f + 11", "q": "e + 14", "a": "q + 7", "w": "b + 8", "r": "w + 13", "m": "r + 19", "p": "m + 8", "j": "p + 17", "u": "j + 2", "b": 13}, "premises": {"b": 13}, "target": "a"}, "answer": {"steps": [["k", "b + 12", 25], ["i", "k + 9", 34], ["f", "i + 4", 38], ["e", "f + 11", 49], ["q", "e + 14", 63], ["a", "q + 7", 70]], "target_var_name": "a", "target_value": 70, "value_dict": {"b": 13, "k": 25, "i": 34, "f": 38, "e": 49, "q": 63, "a": 70}, "is_reverse": false}}
| 41
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 11; r = w + 13; j = p + 17; b = 13; k = b + 12; p = m + 8; a = q + 7; w = b + 8; q = e + 14; m = r + 19; u = j + 2; i = k + 9; f = i + 4. If b = 13, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = b + 12, which gives k = 25.\n2. Compute i using i = k + 9, which gives i = 34.\n3. Compute f using f = i + 4, which gives f = 38.\n4. Compute e using e = f + 11, which gives e = 49.\n5. Compute q using q = e + 14, which gives q = 63.\n6. Compute a using a = q + 7, which gives a = 70.\n\nThus, the final answer is a = \\boxed{70}.",
"index": 41,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 11; r = w + 13; j = p + 17; b = 13; k = b + 12; p = m + 8; a = q + 7; w = b + 8; q = e + 14; m = r + 19; u = j + 2; i = k + 9; f = i + 4. If b = 13, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"x": "c + 19", "b": "x + 8", "p": "b + 13", "k": "p + 19", "f": "k + 7", "s": "f + 2", "w": "c + 5", "a": "w + 13", "n": "a + 12", "t": "n + 20", "z": "t + 10", "d": "z + 9", "c": 3}, "premises": {"c": 3}, "target": "s"}, "answer": {"steps": [["f", "k + 7", "k + 9"], ["k", "p + 19", "p + 28"], ["p", "b + 13", "b + 41"], ["b", "x + 8", "x + 49"], ["x", "c + 19", "c + 68"], ["c", 3, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"c": 3}, "is_reverse": true}}
| 42
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = t + 10; p = b + 13; b = x + 8; a = w + 13; f = k + 7; d = z + 9; x = c + 19; n = a + 12; w = c + 5; t = n + 20; c = 3; s = f + 2; k = p + 19. Given that c = 3, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 7 to s, which gives s = k + 9.\n2. Substitute k = p + 19 to s, which gives s = p + 28.\n3. Substitute p = b + 13 to s, which gives s = b + 41.\n4. Substitute b = x + 8 to s, which gives s = x + 49.\n5. Substitute x = c + 19 to s, which gives s = c + 68.\n6. Substitute c = 3 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 42,
"question": "Suppose a collection of variables is related by the following definitions: z = t + 10; p = b + 13; b = x + 8; a = w + 13; f = k + 7; d = z + 9; x = c + 19; n = a + 12; w = c + 5; t = n + 20; c = 3; s = f + 2; k = p + 19. Given that c = 3, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"d": "h + 13", "z": "d + 16", "i": "z + 8", "e": "i + 15", "r": "e + 9", "t": "r + 18", "y": "h + 8", "f": "y + 10", "j": "f + 6", "v": "j + 20", "m": "v + 4", "c": "m + 10", "h": 12}, "premises": {"h": 12}, "target": "t"}, "answer": {"steps": [["r", "e + 9", "e + 27"], ["e", "i + 15", "i + 42"], ["i", "z + 8", "z + 50"], ["z", "d + 16", "d + 66"], ["d", "h + 13", "h + 79"], ["h", 12, "91"]], "target_var_name": "t", "target_value": 91, "value_dict": {"h": 12}, "is_reverse": true}}
| 43
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 15; i = z + 8; h = 12; t = r + 18; c = m + 10; y = h + 8; f = y + 10; j = f + 6; r = e + 9; z = d + 16; v = j + 20; d = h + 13; m = v + 4. If h = 12, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 9 to t, which gives t = e + 27.\n2. Substitute e = i + 15 to t, which gives t = i + 42.\n3. Substitute i = z + 8 to t, which gives t = z + 50.\n4. Substitute z = d + 16 to t, which gives t = d + 66.\n5. Substitute d = h + 13 to t, which gives t = h + 79.\n6. Substitute h = 12 to t, which gives t = 91.\n\nThus, the final answer is t = \\boxed{91}.",
"index": 43,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 15; i = z + 8; h = 12; t = r + 18; c = m + 10; y = h + 8; f = y + 10; j = f + 6; r = e + 9; z = d + 16; v = j + 20; d = h + 13; m = v + 4. If h = 12, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"k": "r + 3", "a": "k + 4", "z": "a + 8", "n": "z + 12", "u": "n + 20", "j": "u + 15", "t": "r + 7", "d": "t + 2", "s": "d + 7", "w": "s + 8", "x": "w + 10", "q": "x + 3", "r": 10}, "premises": {"r": 10}, "target": "j"}, "answer": {"steps": [["u", "n + 20", "n + 35"], ["n", "z + 12", "z + 47"], ["z", "a + 8", "a + 55"], ["a", "k + 4", "k + 59"], ["k", "r + 3", "r + 62"], ["r", 10, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"r": 10}, "is_reverse": true}}
| 44
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = r + 3; a = k + 4; n = z + 12; z = a + 8; s = d + 7; q = x + 3; u = n + 20; t = r + 7; w = s + 8; x = w + 10; d = t + 2; j = u + 15; r = 10. If r = 10, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 20 to j, which gives j = n + 35.\n2. Substitute n = z + 12 to j, which gives j = z + 47.\n3. Substitute z = a + 8 to j, which gives j = a + 55.\n4. Substitute a = k + 4 to j, which gives j = k + 59.\n5. Substitute k = r + 3 to j, which gives j = r + 62.\n6. Substitute r = 10 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 44,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 3; a = k + 4; n = z + 12; z = a + 8; s = d + 7; q = x + 3; u = n + 20; t = r + 7; w = s + 8; x = w + 10; d = t + 2; j = u + 15; r = 10. If r = 10, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"a": "d + 10", "y": "a + 13", "o": "y + 20", "x": "o + 8", "m": "x + 3", "w": "m + 6", "e": "d + 10", "u": "e + 20", "v": "u + 3", "t": "v + 15", "h": "t + 3", "p": "h + 11", "d": 10}, "premises": {"d": 10}, "target": "w"}, "answer": {"steps": [["m", "x + 3", "x + 9"], ["x", "o + 8", "o + 17"], ["o", "y + 20", "y + 37"], ["y", "a + 13", "a + 50"], ["a", "d + 10", "d + 60"], ["d", 10, "70"]], "target_var_name": "w", "target_value": 70, "value_dict": {"d": 10}, "is_reverse": true}}
| 45
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = m + 6; a = d + 10; o = y + 20; x = o + 8; d = 10; m = x + 3; v = u + 3; p = h + 11; h = t + 3; u = e + 20; e = d + 10; t = v + 15; y = a + 13. If d = 10, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 3 to w, which gives w = x + 9.\n2. Substitute x = o + 8 to w, which gives w = o + 17.\n3. Substitute o = y + 20 to w, which gives w = y + 37.\n4. Substitute y = a + 13 to w, which gives w = a + 50.\n5. Substitute a = d + 10 to w, which gives w = d + 60.\n6. Substitute d = 10 to w, which gives w = 70.\n\nThus, the final answer is w = \\boxed{70}.",
"index": 45,
"question": "Consider a system of variables where each variable is defined as follows: w = m + 6; a = d + 10; o = y + 20; x = o + 8; d = 10; m = x + 3; v = u + 3; p = h + 11; h = t + 3; u = e + 20; e = d + 10; t = v + 15; y = a + 13. If d = 10, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"s": "h + 2", "j": "s + 11", "m": "j + 13", "i": "m + 11", "n": "i + 8", "o": "n + 9", "p": "h + 8", "r": "p + 12", "l": "r + 19", "y": "l + 8", "f": "y + 6", "z": "f + 19", "h": 14}, "premises": {"h": 14}, "target": "o"}, "answer": {"steps": [["s", "h + 2", 16], ["j", "s + 11", 27], ["m", "j + 13", 40], ["i", "m + 11", 51], ["n", "i + 8", 59], ["o", "n + 9", 68]], "target_var_name": "o", "target_value": 68, "value_dict": {"h": 14, "s": 16, "j": 27, "m": 40, "i": 51, "n": 59, "o": 68}, "is_reverse": false}}
| 46
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = i + 8; z = f + 19; l = r + 19; h = 14; s = h + 2; m = j + 13; o = n + 9; r = p + 12; p = h + 8; y = l + 8; i = m + 11; f = y + 6; j = s + 11. If h = 14, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = h + 2, which gives s = 16.\n2. Compute j using j = s + 11, which gives j = 27.\n3. Compute m using m = j + 13, which gives m = 40.\n4. Compute i using i = m + 11, which gives i = 51.\n5. Compute n using n = i + 8, which gives n = 59.\n6. Compute o using o = n + 9, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 46,
"question": "Consider a system of variables where each variable is defined as follows: n = i + 8; z = f + 19; l = r + 19; h = 14; s = h + 2; m = j + 13; o = n + 9; r = p + 12; p = h + 8; y = l + 8; i = m + 11; f = y + 6; j = s + 11. If h = 14, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"s": "p + 12", "b": "s + 13", "g": "b + 1", "q": "g + 19", "k": "q + 17", "d": "k + 15", "o": "p + 13", "u": "o + 2", "h": "u + 17", "z": "h + 13", "v": "z + 2", "n": "v + 10", "p": 7}, "premises": {"p": 7}, "target": "d"}, "answer": {"steps": [["k", "q + 17", "q + 32"], ["q", "g + 19", "g + 51"], ["g", "b + 1", "b + 52"], ["b", "s + 13", "s + 65"], ["s", "p + 12", "p + 77"], ["p", 7, "84"]], "target_var_name": "d", "target_value": 84, "value_dict": {"p": 7}, "is_reverse": true}}
| 47
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = p + 12; d = k + 15; g = b + 1; p = 7; n = v + 10; b = s + 13; k = q + 17; z = h + 13; q = g + 19; o = p + 13; u = o + 2; h = u + 17; v = z + 2. If p = 7, determine 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 k = q + 17 to d, which gives d = q + 32.\n2. Substitute q = g + 19 to d, which gives d = g + 51.\n3. Substitute g = b + 1 to d, which gives d = b + 52.\n4. Substitute b = s + 13 to d, which gives d = s + 65.\n5. Substitute s = p + 12 to d, which gives d = p + 77.\n6. Substitute p = 7 to d, which gives d = 84.\n\nThus, the final answer is d = \\boxed{84}.",
"index": 47,
"question": "Consider a system of variables where each variable is defined as follows: s = p + 12; d = k + 15; g = b + 1; p = 7; n = v + 10; b = s + 13; k = q + 17; z = h + 13; q = g + 19; o = p + 13; u = o + 2; h = u + 17; v = z + 2. If p = 7, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"t": "z + 14", "o": "t + 8", "a": "o + 7", "s": "a + 12", "g": "s + 9", "q": "g + 11", "l": "z + 12", "j": "l + 10", "k": "j + 13", "w": "k + 16", "e": "w + 6", "x": "e + 6", "z": 4}, "premises": {"z": 4}, "target": "q"}, "answer": {"steps": [["g", "s + 9", "s + 20"], ["s", "a + 12", "a + 32"], ["a", "o + 7", "o + 39"], ["o", "t + 8", "t + 47"], ["t", "z + 14", "z + 61"], ["z", 4, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"z": 4}, "is_reverse": true}}
| 48
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = a + 12; t = z + 14; w = k + 16; o = t + 8; q = g + 11; e = w + 6; x = e + 6; j = l + 10; g = s + 9; a = o + 7; l = z + 12; k = j + 13; z = 4. Given that z = 4, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 9 to q, which gives q = s + 20.\n2. Substitute s = a + 12 to q, which gives q = a + 32.\n3. Substitute a = o + 7 to q, which gives q = o + 39.\n4. Substitute o = t + 8 to q, which gives q = t + 47.\n5. Substitute t = z + 14 to q, which gives q = z + 61.\n6. Substitute z = 4 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 48,
"question": "Suppose a collection of variables is related by the following definitions: s = a + 12; t = z + 14; w = k + 16; o = t + 8; q = g + 11; e = w + 6; x = e + 6; j = l + 10; g = s + 9; a = o + 7; l = z + 12; k = j + 13; z = 4. Given that z = 4, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"h": "x + 1", "d": "h + 2", "k": "d + 19", "l": "k + 8", "f": "l + 20", "g": "f + 17", "r": "x + 10", "u": "r + 5", "v": "u + 15", "m": "v + 13", "c": "m + 11", "n": "c + 4", "x": 13}, "premises": {"x": 13}, "target": "g"}, "answer": {"steps": [["f", "l + 20", "l + 37"], ["l", "k + 8", "k + 45"], ["k", "d + 19", "d + 64"], ["d", "h + 2", "h + 66"], ["h", "x + 1", "x + 67"], ["x", 13, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"x": 13}, "is_reverse": true}}
| 49
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = h + 2; f = l + 20; h = x + 1; v = u + 15; m = v + 13; c = m + 11; l = k + 8; n = c + 4; x = 13; g = f + 17; u = r + 5; k = d + 19; r = x + 10. If x = 13, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 20 to g, which gives g = l + 37.\n2. Substitute l = k + 8 to g, which gives g = k + 45.\n3. Substitute k = d + 19 to g, which gives g = d + 64.\n4. Substitute d = h + 2 to g, which gives g = h + 66.\n5. Substitute h = x + 1 to g, which gives g = x + 67.\n6. Substitute x = 13 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 49,
"question": "Consider a system of variables where each variable is defined as follows: d = h + 2; f = l + 20; h = x + 1; v = u + 15; m = v + 13; c = m + 11; l = k + 8; n = c + 4; x = 13; g = f + 17; u = r + 5; k = d + 19; r = x + 10. If x = 13, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"m": "p + 5", "d": "m + 8", "v": "d + 17", "a": "v + 15", "c": "a + 2", "w": "c + 10", "k": "p + 11", "i": "k + 10", "s": "i + 20", "f": "s + 6", "u": "f + 2", "l": "u + 13", "p": 1}, "premises": {"p": 1}, "target": "w"}, "answer": {"steps": [["m", "p + 5", 6], ["d", "m + 8", 14], ["v", "d + 17", 31], ["a", "v + 15", 46], ["c", "a + 2", 48], ["w", "c + 10", 58]], "target_var_name": "w", "target_value": 58, "value_dict": {"p": 1, "m": 6, "d": 14, "v": 31, "a": 46, "c": 48, "w": 58}, "is_reverse": false}}
| 50
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = p + 5; v = d + 17; a = v + 15; s = i + 20; k = p + 11; i = k + 10; w = c + 10; u = f + 2; d = m + 8; p = 1; f = s + 6; l = u + 13; c = a + 2. Given that p = 1, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = p + 5, which gives m = 6.\n2. Compute d using d = m + 8, which gives d = 14.\n3. Compute v using v = d + 17, which gives v = 31.\n4. Compute a using a = v + 15, which gives a = 46.\n5. Compute c using c = a + 2, which gives c = 48.\n6. Compute w using w = c + 10, which gives w = 58.\n\nThus, the final answer is w = \\boxed{58}.",
"index": 50,
"question": "Suppose a collection of variables is related by the following definitions: m = p + 5; v = d + 17; a = v + 15; s = i + 20; k = p + 11; i = k + 10; w = c + 10; u = f + 2; d = m + 8; p = 1; f = s + 6; l = u + 13; c = a + 2. Given that p = 1, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"t": "p + 6", "o": "t + 15", "b": "o + 2", "u": "b + 3", "e": "u + 15", "a": "e + 13", "y": "p + 10", "x": "y + 1", "c": "x + 4", "i": "c + 4", "v": "i + 11", "k": "v + 16", "p": 19}, "premises": {"p": 19}, "target": "a"}, "answer": {"steps": [["t", "p + 6", 25], ["o", "t + 15", 40], ["b", "o + 2", 42], ["u", "b + 3", 45], ["e", "u + 15", 60], ["a", "e + 13", 73]], "target_var_name": "a", "target_value": 73, "value_dict": {"p": 19, "t": 25, "o": 40, "b": 42, "u": 45, "e": 60, "a": 73}, "is_reverse": false}}
| 51
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = t + 15; i = c + 4; e = u + 15; p = 19; x = y + 1; a = e + 13; u = b + 3; y = p + 10; c = x + 4; b = o + 2; k = v + 16; v = i + 11; t = p + 6. If p = 19, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = p + 6, which gives t = 25.\n2. Compute o using o = t + 15, which gives o = 40.\n3. Compute b using b = o + 2, which gives b = 42.\n4. Compute u using u = b + 3, which gives u = 45.\n5. Compute e using e = u + 15, which gives e = 60.\n6. Compute a using a = e + 13, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 51,
"question": "Consider a system of variables where each variable is defined as follows: o = t + 15; i = c + 4; e = u + 15; p = 19; x = y + 1; a = e + 13; u = b + 3; y = p + 10; c = x + 4; b = o + 2; k = v + 16; v = i + 11; t = p + 6. If p = 19, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"c": "a + 9", "x": "c + 3", "q": "x + 4", "v": "q + 4", "f": "v + 13", "i": "f + 7", "l": "a + 7", "k": "l + 16", "s": "k + 2", "g": "s + 6", "w": "g + 9", "h": "w + 11", "a": 7}, "premises": {"a": 7}, "target": "i"}, "answer": {"steps": [["c", "a + 9", 16], ["x", "c + 3", 19], ["q", "x + 4", 23], ["v", "q + 4", 27], ["f", "v + 13", 40], ["i", "f + 7", 47]], "target_var_name": "i", "target_value": 47, "value_dict": {"a": 7, "c": 16, "x": 19, "q": 23, "v": 27, "f": 40, "i": 47}, "is_reverse": false}}
| 52
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = q + 4; q = x + 4; c = a + 9; w = g + 9; a = 7; l = a + 7; h = w + 11; x = c + 3; i = f + 7; s = k + 2; f = v + 13; g = s + 6; k = l + 16. Given that a = 7, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = a + 9, which gives c = 16.\n2. Compute x using x = c + 3, which gives x = 19.\n3. Compute q using q = x + 4, which gives q = 23.\n4. Compute v using v = q + 4, which gives v = 27.\n5. Compute f using f = v + 13, which gives f = 40.\n6. Compute i using i = f + 7, which gives i = 47.\n\nThus, the final answer is i = \\boxed{47}.",
"index": 52,
"question": "Suppose a collection of variables is related by the following definitions: v = q + 4; q = x + 4; c = a + 9; w = g + 9; a = 7; l = a + 7; h = w + 11; x = c + 3; i = f + 7; s = k + 2; f = v + 13; g = s + 6; k = l + 16. Given that a = 7, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"o": "n + 20", "a": "o + 19", "x": "a + 10", "g": "x + 1", "t": "g + 15", "w": "t + 8", "q": "n + 12", "z": "q + 14", "v": "z + 15", "j": "v + 10", "b": "j + 20", "h": "b + 4", "n": 5}, "premises": {"n": 5}, "target": "w"}, "answer": {"steps": [["t", "g + 15", "g + 23"], ["g", "x + 1", "x + 24"], ["x", "a + 10", "a + 34"], ["a", "o + 19", "o + 53"], ["o", "n + 20", "n + 73"], ["n", 5, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"n": 5}, "is_reverse": true}}
| 53
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = x + 1; o = n + 20; a = o + 19; w = t + 8; x = a + 10; h = b + 4; n = 5; z = q + 14; j = v + 10; b = j + 20; q = n + 12; v = z + 15; t = g + 15. Given that n = 5, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 15 to w, which gives w = g + 23.\n2. Substitute g = x + 1 to w, which gives w = x + 24.\n3. Substitute x = a + 10 to w, which gives w = a + 34.\n4. Substitute a = o + 19 to w, which gives w = o + 53.\n5. Substitute o = n + 20 to w, which gives w = n + 73.\n6. Substitute n = 5 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 53,
"question": "Suppose a collection of variables is related by the following definitions: g = x + 1; o = n + 20; a = o + 19; w = t + 8; x = a + 10; h = b + 4; n = 5; z = q + 14; j = v + 10; b = j + 20; q = n + 12; v = z + 15; t = g + 15. Given that n = 5, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 13", "c": "i + 19", "s": "c + 11", "n": "s + 1", "w": "n + 18", "b": "w + 17", "v": "a + 2", "x": "v + 16", "u": "x + 16", "q": "u + 10", "t": "q + 1", "k": "t + 12", "a": 5}, "premises": {"a": 5}, "target": "b"}, "answer": {"steps": [["w", "n + 18", "n + 35"], ["n", "s + 1", "s + 36"], ["s", "c + 11", "c + 47"], ["c", "i + 19", "i + 66"], ["i", "a + 13", "a + 79"], ["a", 5, "84"]], "target_var_name": "b", "target_value": 84, "value_dict": {"a": 5}, "is_reverse": true}}
| 54
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = 5; x = v + 16; s = c + 11; q = u + 10; c = i + 19; u = x + 16; b = w + 17; w = n + 18; v = a + 2; t = q + 1; k = t + 12; n = s + 1; i = a + 13. If a = 5, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 18 to b, which gives b = n + 35.\n2. Substitute n = s + 1 to b, which gives b = s + 36.\n3. Substitute s = c + 11 to b, which gives b = c + 47.\n4. Substitute c = i + 19 to b, which gives b = i + 66.\n5. Substitute i = a + 13 to b, which gives b = a + 79.\n6. Substitute a = 5 to b, which gives b = 84.\n\nThus, the final answer is b = \\boxed{84}.",
"index": 54,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 5; x = v + 16; s = c + 11; q = u + 10; c = i + 19; u = x + 16; b = w + 17; w = n + 18; v = a + 2; t = q + 1; k = t + 12; n = s + 1; i = a + 13. If a = 5, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"z": "p + 8", "u": "z + 17", "y": "u + 16", "m": "y + 8", "v": "m + 19", "g": "v + 8", "r": "p + 14", "k": "r + 13", "e": "k + 15", "l": "e + 5", "n": "l + 4", "b": "n + 6", "p": 14}, "premises": {"p": 14}, "target": "g"}, "answer": {"steps": [["z", "p + 8", 22], ["u", "z + 17", 39], ["y", "u + 16", 55], ["m", "y + 8", 63], ["v", "m + 19", 82], ["g", "v + 8", 90]], "target_var_name": "g", "target_value": 90, "value_dict": {"p": 14, "z": 22, "u": 39, "y": 55, "m": 63, "v": 82, "g": 90}, "is_reverse": false}}
| 55
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = y + 8; n = l + 4; u = z + 17; r = p + 14; e = k + 15; y = u + 16; z = p + 8; l = e + 5; k = r + 13; b = n + 6; v = m + 19; g = v + 8; p = 14. Given that p = 14, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = p + 8, which gives z = 22.\n2. Compute u using u = z + 17, which gives u = 39.\n3. Compute y using y = u + 16, which gives y = 55.\n4. Compute m using m = y + 8, which gives m = 63.\n5. Compute v using v = m + 19, which gives v = 82.\n6. Compute g using g = v + 8, which gives g = 90.\n\nThus, the final answer is g = \\boxed{90}.",
"index": 55,
"question": "Suppose a collection of variables is related by the following definitions: m = y + 8; n = l + 4; u = z + 17; r = p + 14; e = k + 15; y = u + 16; z = p + 8; l = e + 5; k = r + 13; b = n + 6; v = m + 19; g = v + 8; p = 14. Given that p = 14, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"p": "z + 15", "s": "p + 18", "i": "s + 18", "e": "i + 18", "c": "e + 10", "n": "c + 14", "v": "z + 11", "m": "v + 8", "o": "m + 19", "f": "o + 6", "k": "f + 14", "a": "k + 17", "z": 20}, "premises": {"z": 20}, "target": "n"}, "answer": {"steps": [["c", "e + 10", "e + 24"], ["e", "i + 18", "i + 42"], ["i", "s + 18", "s + 60"], ["s", "p + 18", "p + 78"], ["p", "z + 15", "z + 93"], ["z", 20, "113"]], "target_var_name": "n", "target_value": 113, "value_dict": {"z": 20}, "is_reverse": true}}
| 56
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 8; n = c + 14; p = z + 15; v = z + 11; s = p + 18; o = m + 19; i = s + 18; c = e + 10; k = f + 14; e = i + 18; a = k + 17; f = o + 6; z = 20. If z = 20, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 113,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 10 to n, which gives n = e + 24.\n2. Substitute e = i + 18 to n, which gives n = i + 42.\n3. Substitute i = s + 18 to n, which gives n = s + 60.\n4. Substitute s = p + 18 to n, which gives n = p + 78.\n5. Substitute p = z + 15 to n, which gives n = z + 93.\n6. Substitute z = 20 to n, which gives n = 113.\n\nThus, the final answer is n = \\boxed{113}.",
"index": 56,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 8; n = c + 14; p = z + 15; v = z + 11; s = p + 18; o = m + 19; i = s + 18; c = e + 10; k = f + 14; e = i + 18; a = k + 17; f = o + 6; z = 20. If z = 20, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"n": "f + 5", "g": "n + 18", "o": "g + 11", "d": "o + 19", "t": "d + 11", "k": "t + 8", "z": "f + 5", "i": "z + 4", "a": "i + 17", "j": "a + 10", "r": "j + 6", "v": "r + 17", "f": 5}, "premises": {"f": 5}, "target": "k"}, "answer": {"steps": [["n", "f + 5", 10], ["g", "n + 18", 28], ["o", "g + 11", 39], ["d", "o + 19", 58], ["t", "d + 11", 69], ["k", "t + 8", 77]], "target_var_name": "k", "target_value": 77, "value_dict": {"f": 5, "n": 10, "g": 28, "o": 39, "d": 58, "t": 69, "k": 77}, "is_reverse": false}}
| 57
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = t + 8; z = f + 5; o = g + 11; t = d + 11; d = o + 19; i = z + 4; r = j + 6; v = r + 17; n = f + 5; j = a + 10; a = i + 17; f = 5; g = n + 18. Given that f = 5, find the 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. Compute n using n = f + 5, which gives n = 10.\n2. Compute g using g = n + 18, which gives g = 28.\n3. Compute o using o = g + 11, which gives o = 39.\n4. Compute d using d = o + 19, which gives d = 58.\n5. Compute t using t = d + 11, which gives t = 69.\n6. Compute k using k = t + 8, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 57,
"question": "Suppose a collection of variables is related by the following definitions: k = t + 8; z = f + 5; o = g + 11; t = d + 11; d = o + 19; i = z + 4; r = j + 6; v = r + 17; n = f + 5; j = a + 10; a = i + 17; f = 5; g = n + 18. Given that f = 5, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"j": "t + 3", "x": "j + 1", "s": "x + 9", "w": "s + 17", "l": "w + 4", "y": "l + 3", "v": "t + 19", "d": "v + 8", "c": "d + 17", "m": "c + 20", "e": "m + 10", "q": "e + 20", "t": 2}, "premises": {"t": 2}, "target": "y"}, "answer": {"steps": [["l", "w + 4", "w + 7"], ["w", "s + 17", "s + 24"], ["s", "x + 9", "x + 33"], ["x", "j + 1", "j + 34"], ["j", "t + 3", "t + 37"], ["t", 2, "39"]], "target_var_name": "y", "target_value": 39, "value_dict": {"t": 2}, "is_reverse": true}}
| 58
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = d + 17; m = c + 20; q = e + 20; e = m + 10; l = w + 4; s = x + 9; w = s + 17; j = t + 3; x = j + 1; v = t + 19; t = 2; d = v + 8; y = l + 3. Given that t = 2, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 39,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 4 to y, which gives y = w + 7.\n2. Substitute w = s + 17 to y, which gives y = s + 24.\n3. Substitute s = x + 9 to y, which gives y = x + 33.\n4. Substitute x = j + 1 to y, which gives y = j + 34.\n5. Substitute j = t + 3 to y, which gives y = t + 37.\n6. Substitute t = 2 to y, which gives y = 39.\n\nThus, the final answer is y = \\boxed{39}.",
"index": 58,
"question": "Suppose a collection of variables is related by the following definitions: c = d + 17; m = c + 20; q = e + 20; e = m + 10; l = w + 4; s = x + 9; w = s + 17; j = t + 3; x = j + 1; v = t + 19; t = 2; d = v + 8; y = l + 3. Given that t = 2, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"j": "k + 7", "h": "j + 6", "r": "h + 11", "v": "r + 12", "e": "v + 17", "c": "e + 6", "a": "k + 16", "g": "a + 12", "m": "g + 2", "y": "m + 15", "o": "y + 9", "b": "o + 18", "k": 11}, "premises": {"k": 11}, "target": "c"}, "answer": {"steps": [["j", "k + 7", 18], ["h", "j + 6", 24], ["r", "h + 11", 35], ["v", "r + 12", 47], ["e", "v + 17", 64], ["c", "e + 6", 70]], "target_var_name": "c", "target_value": 70, "value_dict": {"k": 11, "j": 18, "h": 24, "r": 35, "v": 47, "e": 64, "c": 70}, "is_reverse": false}}
| 59
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = k + 7; k = 11; y = m + 15; b = o + 18; g = a + 12; m = g + 2; o = y + 9; h = j + 6; v = r + 12; r = h + 11; e = v + 17; a = k + 16; c = e + 6. If k = 11, 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. Compute j using j = k + 7, which gives j = 18.\n2. Compute h using h = j + 6, which gives h = 24.\n3. Compute r using r = h + 11, which gives r = 35.\n4. Compute v using v = r + 12, which gives v = 47.\n5. Compute e using e = v + 17, which gives e = 64.\n6. Compute c using c = e + 6, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 59,
"question": "Consider a system of variables where each variable is defined as follows: j = k + 7; k = 11; y = m + 15; b = o + 18; g = a + 12; m = g + 2; o = y + 9; h = j + 6; v = r + 12; r = h + 11; e = v + 17; a = k + 16; c = e + 6. If k = 11, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"v": "d + 11", "y": "v + 15", "j": "y + 7", "l": "j + 19", "h": "l + 1", "m": "h + 1", "i": "d + 8", "s": "i + 3", "k": "s + 9", "q": "k + 14", "n": "q + 18", "a": "n + 15", "d": 13}, "premises": {"d": 13}, "target": "m"}, "answer": {"steps": [["h", "l + 1", "l + 2"], ["l", "j + 19", "j + 21"], ["j", "y + 7", "y + 28"], ["y", "v + 15", "v + 43"], ["v", "d + 11", "d + 54"], ["d", 13, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"d": 13}, "is_reverse": true}}
| 60
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = h + 1; v = d + 11; l = j + 19; h = l + 1; k = s + 9; j = y + 7; y = v + 15; q = k + 14; i = d + 8; s = i + 3; a = n + 15; n = q + 18; d = 13. Given that d = 13, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 1 to m, which gives m = l + 2.\n2. Substitute l = j + 19 to m, which gives m = j + 21.\n3. Substitute j = y + 7 to m, which gives m = y + 28.\n4. Substitute y = v + 15 to m, which gives m = v + 43.\n5. Substitute v = d + 11 to m, which gives m = d + 54.\n6. Substitute d = 13 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 60,
"question": "Suppose a collection of variables is related by the following definitions: m = h + 1; v = d + 11; l = j + 19; h = l + 1; k = s + 9; j = y + 7; y = v + 15; q = k + 14; i = d + 8; s = i + 3; a = n + 15; n = q + 18; d = 13. Given that d = 13, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"y": "u + 19", "p": "y + 16", "l": "p + 18", "m": "l + 12", "j": "m + 19", "d": "j + 15", "e": "u + 6", "s": "e + 7", "o": "s + 11", "k": "o + 13", "n": "k + 11", "g": "n + 20", "u": 4}, "premises": {"u": 4}, "target": "d"}, "answer": {"steps": [["j", "m + 19", "m + 34"], ["m", "l + 12", "l + 46"], ["l", "p + 18", "p + 64"], ["p", "y + 16", "y + 80"], ["y", "u + 19", "u + 99"], ["u", 4, "103"]], "target_var_name": "d", "target_value": 103, "value_dict": {"u": 4}, "is_reverse": true}}
| 61
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = n + 20; y = u + 19; o = s + 11; d = j + 15; m = l + 12; l = p + 18; u = 4; s = e + 7; k = o + 13; n = k + 11; e = u + 6; p = y + 16; j = m + 19. If u = 4, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 19 to d, which gives d = m + 34.\n2. Substitute m = l + 12 to d, which gives d = l + 46.\n3. Substitute l = p + 18 to d, which gives d = p + 64.\n4. Substitute p = y + 16 to d, which gives d = y + 80.\n5. Substitute y = u + 19 to d, which gives d = u + 99.\n6. Substitute u = 4 to d, which gives d = 103.\n\nThus, the final answer is d = \\boxed{103}.",
"index": 61,
"question": "Consider a system of variables where each variable is defined as follows: g = n + 20; y = u + 19; o = s + 11; d = j + 15; m = l + 12; l = p + 18; u = 4; s = e + 7; k = o + 13; n = k + 11; e = u + 6; p = y + 16; j = m + 19. If u = 4, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"l": "u + 10", "i": "l + 9", "b": "i + 7", "h": "b + 19", "e": "h + 8", "p": "e + 13", "f": "u + 19", "d": "f + 6", "m": "d + 4", "c": "m + 12", "o": "c + 9", "r": "o + 16", "u": 12}, "premises": {"u": 12}, "target": "p"}, "answer": {"steps": [["e", "h + 8", "h + 21"], ["h", "b + 19", "b + 40"], ["b", "i + 7", "i + 47"], ["i", "l + 9", "l + 56"], ["l", "u + 10", "u + 66"], ["u", 12, "78"]], "target_var_name": "p", "target_value": 78, "value_dict": {"u": 12}, "is_reverse": true}}
| 62
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = l + 9; l = u + 10; e = h + 8; m = d + 4; o = c + 9; c = m + 12; r = o + 16; u = 12; p = e + 13; b = i + 7; d = f + 6; h = b + 19; f = u + 19. If u = 12, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 8 to p, which gives p = h + 21.\n2. Substitute h = b + 19 to p, which gives p = b + 40.\n3. Substitute b = i + 7 to p, which gives p = i + 47.\n4. Substitute i = l + 9 to p, which gives p = l + 56.\n5. Substitute l = u + 10 to p, which gives p = u + 66.\n6. Substitute u = 12 to p, which gives p = 78.\n\nThus, the final answer is p = \\boxed{78}.",
"index": 62,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = l + 9; l = u + 10; e = h + 8; m = d + 4; o = c + 9; c = m + 12; r = o + 16; u = 12; p = e + 13; b = i + 7; d = f + 6; h = b + 19; f = u + 19. If u = 12, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"t": "p + 1", "b": "t + 19", "m": "b + 19", "l": "m + 10", "w": "l + 4", "h": "w + 2", "e": "p + 8", "r": "e + 3", "n": "r + 1", "u": "n + 1", "y": "u + 5", "x": "y + 16", "p": 1}, "premises": {"p": 1}, "target": "h"}, "answer": {"steps": [["w", "l + 4", "l + 6"], ["l", "m + 10", "m + 16"], ["m", "b + 19", "b + 35"], ["b", "t + 19", "t + 54"], ["t", "p + 1", "p + 55"], ["p", 1, "56"]], "target_var_name": "h", "target_value": 56, "value_dict": {"p": 1}, "is_reverse": true}}
| 63
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = u + 5; h = w + 2; r = e + 3; e = p + 8; p = 1; t = p + 1; x = y + 16; m = b + 19; b = t + 19; u = n + 1; w = l + 4; n = r + 1; l = m + 10. Given that p = 1, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 4 to h, which gives h = l + 6.\n2. Substitute l = m + 10 to h, which gives h = m + 16.\n3. Substitute m = b + 19 to h, which gives h = b + 35.\n4. Substitute b = t + 19 to h, which gives h = t + 54.\n5. Substitute t = p + 1 to h, which gives h = p + 55.\n6. Substitute p = 1 to h, which gives h = 56.\n\nThus, the final answer is h = \\boxed{56}.",
"index": 63,
"question": "Suppose a collection of variables is related by the following definitions: y = u + 5; h = w + 2; r = e + 3; e = p + 8; p = 1; t = p + 1; x = y + 16; m = b + 19; b = t + 19; u = n + 1; w = l + 4; n = r + 1; l = m + 10. Given that p = 1, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"x": "p + 6", "n": "x + 11", "a": "n + 3", "o": "a + 16", "i": "o + 16", "v": "i + 6", "h": "p + 15", "j": "h + 10", "u": "j + 5", "m": "u + 3", "t": "m + 19", "k": "t + 7", "p": 7}, "premises": {"p": 7}, "target": "v"}, "answer": {"steps": [["x", "p + 6", 13], ["n", "x + 11", 24], ["a", "n + 3", 27], ["o", "a + 16", 43], ["i", "o + 16", 59], ["v", "i + 6", 65]], "target_var_name": "v", "target_value": 65, "value_dict": {"p": 7, "x": 13, "n": 24, "a": 27, "o": 43, "i": 59, "v": 65}, "is_reverse": false}}
| 64
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 11; t = m + 19; p = 7; j = h + 10; h = p + 15; k = t + 7; a = n + 3; i = o + 16; o = a + 16; x = p + 6; m = u + 3; v = i + 6; u = j + 5. If p = 7, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = p + 6, which gives x = 13.\n2. Compute n using n = x + 11, which gives n = 24.\n3. Compute a using a = n + 3, which gives a = 27.\n4. Compute o using o = a + 16, which gives o = 43.\n5. Compute i using i = o + 16, which gives i = 59.\n6. Compute v using v = i + 6, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 64,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 11; t = m + 19; p = 7; j = h + 10; h = p + 15; k = t + 7; a = n + 3; i = o + 16; o = a + 16; x = p + 6; m = u + 3; v = i + 6; u = j + 5. If p = 7, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"h": "q + 10", "s": "h + 10", "j": "s + 16", "n": "j + 2", "c": "n + 4", "o": "c + 18", "x": "q + 6", "z": "x + 14", "f": "z + 10", "y": "f + 13", "i": "y + 5", "v": "i + 13", "q": 6}, "premises": {"q": 6}, "target": "o"}, "answer": {"steps": [["c", "n + 4", "n + 22"], ["n", "j + 2", "j + 24"], ["j", "s + 16", "s + 40"], ["s", "h + 10", "h + 50"], ["h", "q + 10", "q + 60"], ["q", 6, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"q": 6}, "is_reverse": true}}
| 65
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = q + 6; z = x + 14; y = f + 13; s = h + 10; c = n + 4; q = 6; o = c + 18; h = q + 10; f = z + 10; i = y + 5; n = j + 2; j = s + 16; v = i + 13. If q = 6, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 4 to o, which gives o = n + 22.\n2. Substitute n = j + 2 to o, which gives o = j + 24.\n3. Substitute j = s + 16 to o, which gives o = s + 40.\n4. Substitute s = h + 10 to o, which gives o = h + 50.\n5. Substitute h = q + 10 to o, which gives o = q + 60.\n6. Substitute q = 6 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 65,
"question": "Consider a system of variables where each variable is defined as follows: x = q + 6; z = x + 14; y = f + 13; s = h + 10; c = n + 4; q = 6; o = c + 18; h = q + 10; f = z + 10; i = y + 5; n = j + 2; j = s + 16; v = i + 13. If q = 6, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"p": "u + 18", "o": "p + 12", "d": "o + 13", "m": "d + 20", "q": "m + 13", "y": "q + 18", "f": "u + 7", "n": "f + 7", "i": "n + 18", "b": "i + 4", "s": "b + 13", "r": "s + 16", "u": 15}, "premises": {"u": 15}, "target": "y"}, "answer": {"steps": [["q", "m + 13", "m + 31"], ["m", "d + 20", "d + 51"], ["d", "o + 13", "o + 64"], ["o", "p + 12", "p + 76"], ["p", "u + 18", "u + 94"], ["u", 15, "109"]], "target_var_name": "y", "target_value": 109, "value_dict": {"u": 15}, "is_reverse": true}}
| 66
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = d + 20; i = n + 18; r = s + 16; y = q + 18; n = f + 7; o = p + 12; p = u + 18; d = o + 13; b = i + 4; q = m + 13; u = 15; s = b + 13; f = u + 7. If u = 15, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 109,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 13 to y, which gives y = m + 31.\n2. Substitute m = d + 20 to y, which gives y = d + 51.\n3. Substitute d = o + 13 to y, which gives y = o + 64.\n4. Substitute o = p + 12 to y, which gives y = p + 76.\n5. Substitute p = u + 18 to y, which gives y = u + 94.\n6. Substitute u = 15 to y, which gives y = 109.\n\nThus, the final answer is y = \\boxed{109}.",
"index": 66,
"question": "Consider a system of variables where each variable is defined as follows: m = d + 20; i = n + 18; r = s + 16; y = q + 18; n = f + 7; o = p + 12; p = u + 18; d = o + 13; b = i + 4; q = m + 13; u = 15; s = b + 13; f = u + 7. If u = 15, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"n": "k + 2", "a": "n + 9", "d": "a + 8", "g": "d + 13", "r": "g + 11", "p": "r + 4", "m": "k + 3", "y": "m + 9", "f": "y + 18", "l": "f + 1", "w": "l + 10", "u": "w + 3", "k": 16}, "premises": {"k": 16}, "target": "p"}, "answer": {"steps": [["n", "k + 2", 18], ["a", "n + 9", 27], ["d", "a + 8", 35], ["g", "d + 13", 48], ["r", "g + 11", 59], ["p", "r + 4", 63]], "target_var_name": "p", "target_value": 63, "value_dict": {"k": 16, "n": 18, "a": 27, "d": 35, "g": 48, "r": 59, "p": 63}, "is_reverse": false}}
| 67
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = g + 11; n = k + 2; f = y + 18; l = f + 1; m = k + 3; w = l + 10; d = a + 8; k = 16; g = d + 13; u = w + 3; p = r + 4; a = n + 9; y = m + 9. If k = 16, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = k + 2, which gives n = 18.\n2. Compute a using a = n + 9, which gives a = 27.\n3. Compute d using d = a + 8, which gives d = 35.\n4. Compute g using g = d + 13, which gives g = 48.\n5. Compute r using r = g + 11, which gives r = 59.\n6. Compute p using p = r + 4, which gives p = 63.\n\nThus, the final answer is p = \\boxed{63}.",
"index": 67,
"question": "Consider a system of variables where each variable is defined as follows: r = g + 11; n = k + 2; f = y + 18; l = f + 1; m = k + 3; w = l + 10; d = a + 8; k = 16; g = d + 13; u = w + 3; p = r + 4; a = n + 9; y = m + 9. If k = 16, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 7", "w": "f + 15", "m": "w + 17", "d": "m + 3", "e": "d + 9", "n": "e + 18", "b": "k + 11", "a": "b + 5", "t": "a + 16", "q": "t + 11", "u": "q + 12", "v": "u + 14", "k": 10}, "premises": {"k": 10}, "target": "n"}, "answer": {"steps": [["f", "k + 7", 17], ["w", "f + 15", 32], ["m", "w + 17", 49], ["d", "m + 3", 52], ["e", "d + 9", 61], ["n", "e + 18", 79]], "target_var_name": "n", "target_value": 79, "value_dict": {"k": 10, "f": 17, "w": 32, "m": 49, "d": 52, "e": 61, "n": 79}, "is_reverse": false}}
| 68
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = 10; m = w + 17; e = d + 9; q = t + 11; b = k + 11; f = k + 7; w = f + 15; a = b + 5; v = u + 14; u = q + 12; d = m + 3; t = a + 16; n = e + 18. Given that k = 10, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = k + 7, which gives f = 17.\n2. Compute w using w = f + 15, which gives w = 32.\n3. Compute m using m = w + 17, which gives m = 49.\n4. Compute d using d = m + 3, which gives d = 52.\n5. Compute e using e = d + 9, which gives e = 61.\n6. Compute n using n = e + 18, which gives n = 79.\n\nThus, the final answer is n = \\boxed{79}.",
"index": 68,
"question": "Suppose a collection of variables is related by the following definitions: k = 10; m = w + 17; e = d + 9; q = t + 11; b = k + 11; f = k + 7; w = f + 15; a = b + 5; v = u + 14; u = q + 12; d = m + 3; t = a + 16; n = e + 18. Given that k = 10, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"d": "y + 16", "s": "d + 15", "e": "s + 11", "l": "e + 1", "f": "l + 12", "a": "f + 5", "r": "y + 3", "z": "r + 13", "n": "z + 5", "m": "n + 4", "c": "m + 10", "i": "c + 16", "y": 18}, "premises": {"y": 18}, "target": "a"}, "answer": {"steps": [["f", "l + 12", "l + 17"], ["l", "e + 1", "e + 18"], ["e", "s + 11", "s + 29"], ["s", "d + 15", "d + 44"], ["d", "y + 16", "y + 60"], ["y", 18, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"y": 18}, "is_reverse": true}}
| 69
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 13; f = l + 12; n = z + 5; e = s + 11; y = 18; i = c + 16; s = d + 15; r = y + 3; a = f + 5; c = m + 10; m = n + 4; l = e + 1; d = y + 16. If y = 18, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 12 to a, which gives a = l + 17.\n2. Substitute l = e + 1 to a, which gives a = e + 18.\n3. Substitute e = s + 11 to a, which gives a = s + 29.\n4. Substitute s = d + 15 to a, which gives a = d + 44.\n5. Substitute d = y + 16 to a, which gives a = y + 60.\n6. Substitute y = 18 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 69,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 13; f = l + 12; n = z + 5; e = s + 11; y = 18; i = c + 16; s = d + 15; r = y + 3; a = f + 5; c = m + 10; m = n + 4; l = e + 1; d = y + 16. If y = 18, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"a": "h + 6", "n": "a + 2", "j": "n + 2", "u": "j + 13", "o": "u + 10", "v": "o + 18", "r": "h + 17", "x": "r + 1", "f": "x + 13", "l": "f + 10", "s": "l + 17", "p": "s + 19", "h": 15}, "premises": {"h": 15}, "target": "v"}, "answer": {"steps": [["a", "h + 6", 21], ["n", "a + 2", 23], ["j", "n + 2", 25], ["u", "j + 13", 38], ["o", "u + 10", 48], ["v", "o + 18", 66]], "target_var_name": "v", "target_value": 66, "value_dict": {"h": 15, "a": 21, "n": 23, "j": 25, "u": 38, "o": 48, "v": 66}, "is_reverse": false}}
| 70
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = h + 6; h = 15; l = f + 10; n = a + 2; r = h + 17; p = s + 19; f = x + 13; o = u + 10; u = j + 13; v = o + 18; j = n + 2; x = r + 1; s = l + 17. If h = 15, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = h + 6, which gives a = 21.\n2. Compute n using n = a + 2, which gives n = 23.\n3. Compute j using j = n + 2, which gives j = 25.\n4. Compute u using u = j + 13, which gives u = 38.\n5. Compute o using o = u + 10, which gives o = 48.\n6. Compute v using v = o + 18, which gives v = 66.\n\nThus, the final answer is v = \\boxed{66}.",
"index": 70,
"question": "Consider a system of variables where each variable is defined as follows: a = h + 6; h = 15; l = f + 10; n = a + 2; r = h + 17; p = s + 19; f = x + 13; o = u + 10; u = j + 13; v = o + 18; j = n + 2; x = r + 1; s = l + 17. If h = 15, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"t": "l + 18", "s": "t + 11", "i": "s + 17", "p": "i + 17", "m": "p + 19", "k": "m + 9", "g": "l + 13", "z": "g + 9", "v": "z + 9", "a": "v + 5", "y": "a + 4", "e": "y + 9", "l": 12}, "premises": {"l": 12}, "target": "k"}, "answer": {"steps": [["t", "l + 18", 30], ["s", "t + 11", 41], ["i", "s + 17", 58], ["p", "i + 17", 75], ["m", "p + 19", 94], ["k", "m + 9", 103]], "target_var_name": "k", "target_value": 103, "value_dict": {"l": 12, "t": 30, "s": 41, "i": 58, "p": 75, "m": 94, "k": 103}, "is_reverse": false}}
| 71
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = l + 13; p = i + 17; k = m + 9; y = a + 4; i = s + 17; l = 12; s = t + 11; z = g + 9; m = p + 19; v = z + 9; e = y + 9; a = v + 5; t = l + 18. Given that l = 12, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = l + 18, which gives t = 30.\n2. Compute s using s = t + 11, which gives s = 41.\n3. Compute i using i = s + 17, which gives i = 58.\n4. Compute p using p = i + 17, which gives p = 75.\n5. Compute m using m = p + 19, which gives m = 94.\n6. Compute k using k = m + 9, which gives k = 103.\n\nThus, the final answer is k = \\boxed{103}.",
"index": 71,
"question": "Suppose a collection of variables is related by the following definitions: g = l + 13; p = i + 17; k = m + 9; y = a + 4; i = s + 17; l = 12; s = t + 11; z = g + 9; m = p + 19; v = z + 9; e = y + 9; a = v + 5; t = l + 18. Given that l = 12, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 2", "w": "t + 8", "g": "w + 13", "p": "g + 12", "u": "p + 12", "o": "u + 11", "n": "y + 16", "b": "n + 8", "m": "b + 2", "j": "m + 17", "s": "j + 4", "z": "s + 1", "y": 9}, "premises": {"y": 9}, "target": "o"}, "answer": {"steps": [["t", "y + 2", 11], ["w", "t + 8", 19], ["g", "w + 13", 32], ["p", "g + 12", 44], ["u", "p + 12", 56], ["o", "u + 11", 67]], "target_var_name": "o", "target_value": 67, "value_dict": {"y": 9, "t": 11, "w": 19, "g": 32, "p": 44, "u": 56, "o": 67}, "is_reverse": false}}
| 72
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = g + 12; b = n + 8; s = j + 4; g = w + 13; w = t + 8; m = b + 2; j = m + 17; u = p + 12; o = u + 11; t = y + 2; n = y + 16; z = s + 1; y = 9. Given that y = 9, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = y + 2, which gives t = 11.\n2. Compute w using w = t + 8, which gives w = 19.\n3. Compute g using g = w + 13, which gives g = 32.\n4. Compute p using p = g + 12, which gives p = 44.\n5. Compute u using u = p + 12, which gives u = 56.\n6. Compute o using o = u + 11, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 72,
"question": "Suppose a collection of variables is related by the following definitions: p = g + 12; b = n + 8; s = j + 4; g = w + 13; w = t + 8; m = b + 2; j = m + 17; u = p + 12; o = u + 11; t = y + 2; n = y + 16; z = s + 1; y = 9. Given that y = 9, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"m": "b + 19", "t": "m + 15", "d": "t + 5", "k": "d + 11", "y": "k + 16", "s": "y + 12", "h": "b + 9", "j": "h + 17", "g": "j + 10", "a": "g + 13", "q": "a + 12", "l": "q + 11", "b": 12}, "premises": {"b": 12}, "target": "s"}, "answer": {"steps": [["y", "k + 16", "k + 28"], ["k", "d + 11", "d + 39"], ["d", "t + 5", "t + 44"], ["t", "m + 15", "m + 59"], ["m", "b + 19", "b + 78"], ["b", 12, "90"]], "target_var_name": "s", "target_value": 90, "value_dict": {"b": 12}, "is_reverse": true}}
| 73
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 11; a = g + 13; q = a + 12; m = b + 19; y = k + 16; s = y + 12; t = m + 15; j = h + 17; d = t + 5; h = b + 9; l = q + 11; b = 12; g = j + 10. If b = 12, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 16 to s, which gives s = k + 28.\n2. Substitute k = d + 11 to s, which gives s = d + 39.\n3. Substitute d = t + 5 to s, which gives s = t + 44.\n4. Substitute t = m + 15 to s, which gives s = m + 59.\n5. Substitute m = b + 19 to s, which gives s = b + 78.\n6. Substitute b = 12 to s, which gives s = 90.\n\nThus, the final answer is s = \\boxed{90}.",
"index": 73,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 11; a = g + 13; q = a + 12; m = b + 19; y = k + 16; s = y + 12; t = m + 15; j = h + 17; d = t + 5; h = b + 9; l = q + 11; b = 12; g = j + 10. If b = 12, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"b": "m + 13", "n": "b + 3", "f": "n + 16", "y": "f + 20", "h": "y + 15", "u": "h + 18", "p": "m + 9", "k": "p + 1", "i": "k + 18", "a": "i + 2", "w": "a + 6", "l": "w + 10", "m": 3}, "premises": {"m": 3}, "target": "u"}, "answer": {"steps": [["h", "y + 15", "y + 33"], ["y", "f + 20", "f + 53"], ["f", "n + 16", "n + 69"], ["n", "b + 3", "b + 72"], ["b", "m + 13", "m + 85"], ["m", 3, "88"]], "target_var_name": "u", "target_value": 88, "value_dict": {"m": 3}, "is_reverse": true}}
| 74
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = m + 9; h = y + 15; k = p + 1; a = i + 2; i = k + 18; u = h + 18; b = m + 13; w = a + 6; l = w + 10; y = f + 20; f = n + 16; m = 3; n = b + 3. If m = 3, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 15 to u, which gives u = y + 33.\n2. Substitute y = f + 20 to u, which gives u = f + 53.\n3. Substitute f = n + 16 to u, which gives u = n + 69.\n4. Substitute n = b + 3 to u, which gives u = b + 72.\n5. Substitute b = m + 13 to u, which gives u = m + 85.\n6. Substitute m = 3 to u, which gives u = 88.\n\nThus, the final answer is u = \\boxed{88}.",
"index": 74,
"question": "Consider a system of variables where each variable is defined as follows: p = m + 9; h = y + 15; k = p + 1; a = i + 2; i = k + 18; u = h + 18; b = m + 13; w = a + 6; l = w + 10; y = f + 20; f = n + 16; m = 3; n = b + 3. If m = 3, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"j": "g + 3", "r": "j + 17", "w": "r + 13", "s": "w + 5", "b": "s + 4", "f": "b + 3", "c": "g + 5", "y": "c + 9", "h": "y + 12", "a": "h + 13", "p": "a + 6", "i": "p + 11", "g": 11}, "premises": {"g": 11}, "target": "f"}, "answer": {"steps": [["j", "g + 3", 14], ["r", "j + 17", 31], ["w", "r + 13", 44], ["s", "w + 5", 49], ["b", "s + 4", 53], ["f", "b + 3", 56]], "target_var_name": "f", "target_value": 56, "value_dict": {"g": 11, "j": 14, "r": 31, "w": 44, "s": 49, "b": 53, "f": 56}, "is_reverse": false}}
| 75
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = c + 9; h = y + 12; s = w + 5; r = j + 17; i = p + 11; w = r + 13; f = b + 3; c = g + 5; p = a + 6; b = s + 4; g = 11; j = g + 3; a = h + 13. If g = 11, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = g + 3, which gives j = 14.\n2. Compute r using r = j + 17, which gives r = 31.\n3. Compute w using w = r + 13, which gives w = 44.\n4. Compute s using s = w + 5, which gives s = 49.\n5. Compute b using b = s + 4, which gives b = 53.\n6. Compute f using f = b + 3, which gives f = 56.\n\nThus, the final answer is f = \\boxed{56}.",
"index": 75,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = c + 9; h = y + 12; s = w + 5; r = j + 17; i = p + 11; w = r + 13; f = b + 3; c = g + 5; p = a + 6; b = s + 4; g = 11; j = g + 3; a = h + 13. If g = 11, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 4", "m": "b + 14", "r": "m + 16", "z": "r + 2", "n": "z + 6", "s": "n + 17", "c": "x + 17", "e": "c + 15", "k": "e + 17", "d": "k + 1", "i": "d + 16", "t": "i + 2", "x": 13}, "premises": {"x": 13}, "target": "s"}, "answer": {"steps": [["n", "z + 6", "z + 23"], ["z", "r + 2", "r + 25"], ["r", "m + 16", "m + 41"], ["m", "b + 14", "b + 55"], ["b", "x + 4", "x + 59"], ["x", 13, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"x": 13}, "is_reverse": true}}
| 76
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = 13; r = m + 16; s = n + 17; z = r + 2; c = x + 17; t = i + 2; i = d + 16; k = e + 17; m = b + 14; n = z + 6; b = x + 4; e = c + 15; d = k + 1. If x = 13, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 6 to s, which gives s = z + 23.\n2. Substitute z = r + 2 to s, which gives s = r + 25.\n3. Substitute r = m + 16 to s, which gives s = m + 41.\n4. Substitute m = b + 14 to s, which gives s = b + 55.\n5. Substitute b = x + 4 to s, which gives s = x + 59.\n6. Substitute x = 13 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 76,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 13; r = m + 16; s = n + 17; z = r + 2; c = x + 17; t = i + 2; i = d + 16; k = e + 17; m = b + 14; n = z + 6; b = x + 4; e = c + 15; d = k + 1. If x = 13, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"y": "n + 16", "t": "y + 5", "z": "t + 9", "e": "z + 16", "k": "e + 2", "g": "k + 16", "q": "n + 18", "w": "q + 19", "l": "w + 10", "h": "l + 13", "v": "h + 20", "a": "v + 5", "n": 7}, "premises": {"n": 7}, "target": "g"}, "answer": {"steps": [["y", "n + 16", 23], ["t", "y + 5", 28], ["z", "t + 9", 37], ["e", "z + 16", 53], ["k", "e + 2", 55], ["g", "k + 16", 71]], "target_var_name": "g", "target_value": 71, "value_dict": {"n": 7, "y": 23, "t": 28, "z": 37, "e": 53, "k": 55, "g": 71}, "is_reverse": false}}
| 77
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 19; q = n + 18; h = l + 13; g = k + 16; y = n + 16; v = h + 20; l = w + 10; n = 7; t = y + 5; e = z + 16; a = v + 5; k = e + 2; z = t + 9. If n = 7, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = n + 16, which gives y = 23.\n2. Compute t using t = y + 5, which gives t = 28.\n3. Compute z using z = t + 9, which gives z = 37.\n4. Compute e using e = z + 16, which gives e = 53.\n5. Compute k using k = e + 2, which gives k = 55.\n6. Compute g using g = k + 16, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 77,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 19; q = n + 18; h = l + 13; g = k + 16; y = n + 16; v = h + 20; l = w + 10; n = 7; t = y + 5; e = z + 16; a = v + 5; k = e + 2; z = t + 9. If n = 7, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"g": "u + 19", "a": "g + 10", "t": "a + 7", "f": "t + 8", "d": "f + 3", "r": "d + 3", "b": "u + 5", "h": "b + 20", "k": "h + 17", "o": "k + 15", "i": "o + 15", "n": "i + 16", "u": 13}, "premises": {"u": 13}, "target": "r"}, "answer": {"steps": [["d", "f + 3", "f + 6"], ["f", "t + 8", "t + 14"], ["t", "a + 7", "a + 21"], ["a", "g + 10", "g + 31"], ["g", "u + 19", "u + 50"], ["u", 13, "63"]], "target_var_name": "r", "target_value": 63, "value_dict": {"u": 13}, "is_reverse": true}}
| 78
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 19; i = o + 15; r = d + 3; f = t + 8; b = u + 5; a = g + 10; h = b + 20; u = 13; o = k + 15; d = f + 3; k = h + 17; n = i + 16; t = a + 7. If u = 13, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 3 to r, which gives r = f + 6.\n2. Substitute f = t + 8 to r, which gives r = t + 14.\n3. Substitute t = a + 7 to r, which gives r = a + 21.\n4. Substitute a = g + 10 to r, which gives r = g + 31.\n5. Substitute g = u + 19 to r, which gives r = u + 50.\n6. Substitute u = 13 to r, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 78,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 19; i = o + 15; r = d + 3; f = t + 8; b = u + 5; a = g + 10; h = b + 20; u = 13; o = k + 15; d = f + 3; k = h + 17; n = i + 16; t = a + 7. If u = 13, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 17", "i": "p + 18", "m": "i + 13", "j": "m + 20", "x": "j + 13", "o": "x + 9", "c": "k + 11", "b": "c + 14", "s": "b + 8", "q": "s + 16", "z": "q + 13", "t": "z + 9", "k": 5}, "premises": {"k": 5}, "target": "o"}, "answer": {"steps": [["p", "k + 17", 22], ["i", "p + 18", 40], ["m", "i + 13", 53], ["j", "m + 20", 73], ["x", "j + 13", 86], ["o", "x + 9", 95]], "target_var_name": "o", "target_value": 95, "value_dict": {"k": 5, "p": 22, "i": 40, "m": 53, "j": 73, "x": 86, "o": 95}, "is_reverse": false}}
| 79
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = s + 16; i = p + 18; k = 5; x = j + 13; j = m + 20; t = z + 9; c = k + 11; p = k + 17; b = c + 14; m = i + 13; s = b + 8; o = x + 9; z = q + 13. If k = 5, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = k + 17, which gives p = 22.\n2. Compute i using i = p + 18, which gives i = 40.\n3. Compute m using m = i + 13, which gives m = 53.\n4. Compute j using j = m + 20, which gives j = 73.\n5. Compute x using x = j + 13, which gives x = 86.\n6. Compute o using o = x + 9, which gives o = 95.\n\nThus, the final answer is o = \\boxed{95}.",
"index": 79,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = s + 16; i = p + 18; k = 5; x = j + 13; j = m + 20; t = z + 9; c = k + 11; p = k + 17; b = c + 14; m = i + 13; s = b + 8; o = x + 9; z = q + 13. If k = 5, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"n": "t + 12", "e": "n + 12", "m": "e + 6", "i": "m + 15", "y": "i + 8", "g": "y + 10", "s": "t + 16", "h": "s + 14", "o": "h + 5", "k": "o + 6", "w": "k + 13", "p": "w + 7", "t": 15}, "premises": {"t": 15}, "target": "g"}, "answer": {"steps": [["y", "i + 8", "i + 18"], ["i", "m + 15", "m + 33"], ["m", "e + 6", "e + 39"], ["e", "n + 12", "n + 51"], ["n", "t + 12", "t + 63"], ["t", 15, "78"]], "target_var_name": "g", "target_value": 78, "value_dict": {"t": 15}, "is_reverse": true}}
| 80
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = o + 6; o = h + 5; g = y + 10; p = w + 7; w = k + 13; i = m + 15; e = n + 12; y = i + 8; m = e + 6; h = s + 14; t = 15; s = t + 16; n = t + 12. Given that t = 15, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 8 to g, which gives g = i + 18.\n2. Substitute i = m + 15 to g, which gives g = m + 33.\n3. Substitute m = e + 6 to g, which gives g = e + 39.\n4. Substitute e = n + 12 to g, which gives g = n + 51.\n5. Substitute n = t + 12 to g, which gives g = t + 63.\n6. Substitute t = 15 to g, which gives g = 78.\n\nThus, the final answer is g = \\boxed{78}.",
"index": 80,
"question": "Suppose a collection of variables is related by the following definitions: k = o + 6; o = h + 5; g = y + 10; p = w + 7; w = k + 13; i = m + 15; e = n + 12; y = i + 8; m = e + 6; h = s + 14; t = 15; s = t + 16; n = t + 12. Given that t = 15, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"o": "u + 6", "l": "o + 13", "i": "l + 4", "h": "i + 1", "e": "h + 8", "g": "e + 20", "a": "u + 13", "s": "a + 1", "z": "s + 11", "n": "z + 4", "q": "n + 2", "w": "q + 1", "u": 14}, "premises": {"u": 14}, "target": "g"}, "answer": {"steps": [["o", "u + 6", 20], ["l", "o + 13", 33], ["i", "l + 4", 37], ["h", "i + 1", 38], ["e", "h + 8", 46], ["g", "e + 20", 66]], "target_var_name": "g", "target_value": 66, "value_dict": {"u": 14, "o": 20, "l": 33, "i": 37, "h": 38, "e": 46, "g": 66}, "is_reverse": false}}
| 81
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = h + 8; a = u + 13; z = s + 11; s = a + 1; q = n + 2; w = q + 1; l = o + 13; i = l + 4; n = z + 4; g = e + 20; h = i + 1; o = u + 6; u = 14. If u = 14, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = u + 6, which gives o = 20.\n2. Compute l using l = o + 13, which gives l = 33.\n3. Compute i using i = l + 4, which gives i = 37.\n4. Compute h using h = i + 1, which gives h = 38.\n5. Compute e using e = h + 8, which gives e = 46.\n6. Compute g using g = e + 20, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 81,
"question": "Consider a system of variables where each variable is defined as follows: e = h + 8; a = u + 13; z = s + 11; s = a + 1; q = n + 2; w = q + 1; l = o + 13; i = l + 4; n = z + 4; g = e + 20; h = i + 1; o = u + 6; u = 14. If u = 14, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"u": "x + 9", "r": "u + 3", "j": "r + 5", "n": "j + 4", "z": "n + 5", "k": "z + 2", "v": "x + 20", "y": "v + 6", "i": "y + 3", "c": "i + 11", "l": "c + 2", "q": "l + 3", "x": 18}, "premises": {"x": 18}, "target": "k"}, "answer": {"steps": [["u", "x + 9", 27], ["r", "u + 3", 30], ["j", "r + 5", 35], ["n", "j + 4", 39], ["z", "n + 5", 44], ["k", "z + 2", 46]], "target_var_name": "k", "target_value": 46, "value_dict": {"x": 18, "u": 27, "r": 30, "j": 35, "n": 39, "z": 44, "k": 46}, "is_reverse": false}}
| 82
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = v + 6; i = y + 3; z = n + 5; k = z + 2; r = u + 3; v = x + 20; l = c + 2; u = x + 9; x = 18; q = l + 3; n = j + 4; j = r + 5; c = i + 11. Given that x = 18, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = x + 9, which gives u = 27.\n2. Compute r using r = u + 3, which gives r = 30.\n3. Compute j using j = r + 5, which gives j = 35.\n4. Compute n using n = j + 4, which gives n = 39.\n5. Compute z using z = n + 5, which gives z = 44.\n6. Compute k using k = z + 2, which gives k = 46.\n\nThus, the final answer is k = \\boxed{46}.",
"index": 82,
"question": "Suppose a collection of variables is related by the following definitions: y = v + 6; i = y + 3; z = n + 5; k = z + 2; r = u + 3; v = x + 20; l = c + 2; u = x + 9; x = 18; q = l + 3; n = j + 4; j = r + 5; c = i + 11. Given that x = 18, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"s": "d + 1", "m": "s + 14", "u": "m + 15", "x": "u + 3", "k": "x + 8", "i": "k + 11", "r": "d + 10", "f": "r + 13", "y": "f + 17", "p": "y + 19", "b": "p + 8", "c": "b + 13", "d": 5}, "premises": {"d": 5}, "target": "i"}, "answer": {"steps": [["s", "d + 1", 6], ["m", "s + 14", 20], ["u", "m + 15", 35], ["x", "u + 3", 38], ["k", "x + 8", 46], ["i", "k + 11", 57]], "target_var_name": "i", "target_value": 57, "value_dict": {"d": 5, "s": 6, "m": 20, "u": 35, "x": 38, "k": 46, "i": 57}, "is_reverse": false}}
| 83
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = p + 8; x = u + 3; f = r + 13; d = 5; m = s + 14; u = m + 15; s = d + 1; p = y + 19; c = b + 13; k = x + 8; y = f + 17; i = k + 11; r = d + 10. If d = 5, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = d + 1, which gives s = 6.\n2. Compute m using m = s + 14, which gives m = 20.\n3. Compute u using u = m + 15, which gives u = 35.\n4. Compute x using x = u + 3, which gives x = 38.\n5. Compute k using k = x + 8, which gives k = 46.\n6. Compute i using i = k + 11, which gives i = 57.\n\nThus, the final answer is i = \\boxed{57}.",
"index": 83,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = p + 8; x = u + 3; f = r + 13; d = 5; m = s + 14; u = m + 15; s = d + 1; p = y + 19; c = b + 13; k = x + 8; y = f + 17; i = k + 11; r = d + 10. If d = 5, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"d": "h + 19", "c": "d + 20", "b": "c + 3", "a": "b + 5", "x": "a + 7", "r": "x + 18", "m": "h + 18", "l": "m + 19", "n": "l + 12", "g": "n + 7", "p": "g + 3", "q": "p + 13", "h": 10}, "premises": {"h": 10}, "target": "r"}, "answer": {"steps": [["d", "h + 19", 29], ["c", "d + 20", 49], ["b", "c + 3", 52], ["a", "b + 5", 57], ["x", "a + 7", 64], ["r", "x + 18", 82]], "target_var_name": "r", "target_value": 82, "value_dict": {"h": 10, "d": 29, "c": 49, "b": 52, "a": 57, "x": 64, "r": 82}, "is_reverse": false}}
| 84
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = m + 19; x = a + 7; p = g + 3; n = l + 12; a = b + 5; m = h + 18; q = p + 13; h = 10; c = d + 20; g = n + 7; d = h + 19; b = c + 3; r = x + 18. If h = 10, what is the resulting 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. Compute d using d = h + 19, which gives d = 29.\n2. Compute c using c = d + 20, which gives c = 49.\n3. Compute b using b = c + 3, which gives b = 52.\n4. Compute a using a = b + 5, which gives a = 57.\n5. Compute x using x = a + 7, which gives x = 64.\n6. Compute r using r = x + 18, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 84,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = m + 19; x = a + 7; p = g + 3; n = l + 12; a = b + 5; m = h + 18; q = p + 13; h = 10; c = d + 20; g = n + 7; d = h + 19; b = c + 3; r = x + 18. If h = 10, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"i": "f + 6", "l": "i + 13", "k": "l + 4", "s": "k + 10", "d": "s + 4", "r": "d + 2", "b": "f + 2", "y": "b + 17", "z": "y + 19", "p": "z + 16", "j": "p + 5", "w": "j + 4", "f": 16}, "premises": {"f": 16}, "target": "r"}, "answer": {"steps": [["d", "s + 4", "s + 6"], ["s", "k + 10", "k + 16"], ["k", "l + 4", "l + 20"], ["l", "i + 13", "i + 33"], ["i", "f + 6", "f + 39"], ["f", 16, "55"]], "target_var_name": "r", "target_value": 55, "value_dict": {"f": 16}, "is_reverse": true}}
| 85
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 16; s = k + 10; j = p + 5; z = y + 19; l = i + 13; w = j + 4; y = b + 17; f = 16; k = l + 4; b = f + 2; d = s + 4; r = d + 2; i = f + 6. If f = 16, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 4 to r, which gives r = s + 6.\n2. Substitute s = k + 10 to r, which gives r = k + 16.\n3. Substitute k = l + 4 to r, which gives r = l + 20.\n4. Substitute l = i + 13 to r, which gives r = i + 33.\n5. Substitute i = f + 6 to r, which gives r = f + 39.\n6. Substitute f = 16 to r, which gives r = 55.\n\nThus, the final answer is r = \\boxed{55}.",
"index": 85,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 16; s = k + 10; j = p + 5; z = y + 19; l = i + 13; w = j + 4; y = b + 17; f = 16; k = l + 4; b = f + 2; d = s + 4; r = d + 2; i = f + 6. If f = 16, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"b": "s + 4", "f": "b + 8", "i": "f + 17", "p": "i + 17", "d": "p + 11", "k": "d + 9", "x": "s + 1", "l": "x + 7", "z": "l + 2", "n": "z + 15", "g": "n + 11", "u": "g + 12", "s": 6}, "premises": {"s": 6}, "target": "k"}, "answer": {"steps": [["b", "s + 4", 10], ["f", "b + 8", 18], ["i", "f + 17", 35], ["p", "i + 17", 52], ["d", "p + 11", 63], ["k", "d + 9", 72]], "target_var_name": "k", "target_value": 72, "value_dict": {"s": 6, "b": 10, "f": 18, "i": 35, "p": 52, "d": 63, "k": 72}, "is_reverse": false}}
| 86
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = z + 15; d = p + 11; u = g + 12; x = s + 1; g = n + 11; z = l + 2; f = b + 8; s = 6; b = s + 4; k = d + 9; p = i + 17; l = x + 7; i = f + 17. If s = 6, determine 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. Compute b using b = s + 4, which gives b = 10.\n2. Compute f using f = b + 8, which gives f = 18.\n3. Compute i using i = f + 17, which gives i = 35.\n4. Compute p using p = i + 17, which gives p = 52.\n5. Compute d using d = p + 11, which gives d = 63.\n6. Compute k using k = d + 9, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 86,
"question": "Consider a system of variables where each variable is defined as follows: n = z + 15; d = p + 11; u = g + 12; x = s + 1; g = n + 11; z = l + 2; f = b + 8; s = 6; b = s + 4; k = d + 9; p = i + 17; l = x + 7; i = f + 17. If s = 6, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"g": "c + 19", "o": "g + 14", "y": "o + 8", "l": "y + 7", "k": "l + 14", "v": "k + 13", "u": "c + 6", "x": "u + 19", "n": "x + 9", "s": "n + 17", "z": "s + 5", "f": "z + 5", "c": 16}, "premises": {"c": 16}, "target": "v"}, "answer": {"steps": [["k", "l + 14", "l + 27"], ["l", "y + 7", "y + 34"], ["y", "o + 8", "o + 42"], ["o", "g + 14", "g + 56"], ["g", "c + 19", "c + 75"], ["c", 16, "91"]], "target_var_name": "v", "target_value": 91, "value_dict": {"c": 16}, "is_reverse": true}}
| 87
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = x + 9; c = 16; l = y + 7; k = l + 14; x = u + 19; f = z + 5; z = s + 5; y = o + 8; u = c + 6; g = c + 19; s = n + 17; o = g + 14; v = k + 13. If c = 16, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 14 to v, which gives v = l + 27.\n2. Substitute l = y + 7 to v, which gives v = y + 34.\n3. Substitute y = o + 8 to v, which gives v = o + 42.\n4. Substitute o = g + 14 to v, which gives v = g + 56.\n5. Substitute g = c + 19 to v, which gives v = c + 75.\n6. Substitute c = 16 to v, which gives v = 91.\n\nThus, the final answer is v = \\boxed{91}.",
"index": 87,
"question": "Consider a system of variables where each variable is defined as follows: n = x + 9; c = 16; l = y + 7; k = l + 14; x = u + 19; f = z + 5; z = s + 5; y = o + 8; u = c + 6; g = c + 19; s = n + 17; o = g + 14; v = k + 13. If c = 16, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"y": "m + 12", "z": "y + 15", "j": "z + 16", "w": "j + 2", "u": "w + 12", "g": "u + 8", "c": "m + 10", "h": "c + 12", "p": "h + 1", "k": "p + 10", "o": "k + 20", "d": "o + 16", "m": 2}, "premises": {"m": 2}, "target": "g"}, "answer": {"steps": [["y", "m + 12", 14], ["z", "y + 15", 29], ["j", "z + 16", 45], ["w", "j + 2", 47], ["u", "w + 12", 59], ["g", "u + 8", 67]], "target_var_name": "g", "target_value": 67, "value_dict": {"m": 2, "y": 14, "z": 29, "j": 45, "w": 47, "u": 59, "g": 67}, "is_reverse": false}}
| 88
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 2; z = y + 15; k = p + 10; g = u + 8; u = w + 12; h = c + 12; c = m + 10; d = o + 16; m = 2; y = m + 12; j = z + 16; o = k + 20; p = h + 1. If m = 2, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = m + 12, which gives y = 14.\n2. Compute z using z = y + 15, which gives z = 29.\n3. Compute j using j = z + 16, which gives j = 45.\n4. Compute w using w = j + 2, which gives w = 47.\n5. Compute u using u = w + 12, which gives u = 59.\n6. Compute g using g = u + 8, which gives g = 67.\n\nThus, the final answer is g = \\boxed{67}.",
"index": 88,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 2; z = y + 15; k = p + 10; g = u + 8; u = w + 12; h = c + 12; c = m + 10; d = o + 16; m = 2; y = m + 12; j = z + 16; o = k + 20; p = h + 1. If m = 2, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"v": "g + 14", "b": "v + 19", "r": "b + 8", "x": "r + 12", "e": "x + 9", "d": "e + 20", "n": "g + 7", "j": "n + 10", "f": "j + 2", "u": "f + 11", "s": "u + 15", "a": "s + 10", "g": 13}, "premises": {"g": 13}, "target": "d"}, "answer": {"steps": [["v", "g + 14", 27], ["b", "v + 19", 46], ["r", "b + 8", 54], ["x", "r + 12", 66], ["e", "x + 9", 75], ["d", "e + 20", 95]], "target_var_name": "d", "target_value": 95, "value_dict": {"g": 13, "v": 27, "b": 46, "r": 54, "x": 66, "e": 75, "d": 95}, "is_reverse": false}}
| 89
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = u + 15; f = j + 2; g = 13; x = r + 12; e = x + 9; a = s + 10; d = e + 20; u = f + 11; n = g + 7; j = n + 10; b = v + 19; v = g + 14; r = b + 8. Given that g = 13, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = g + 14, which gives v = 27.\n2. Compute b using b = v + 19, which gives b = 46.\n3. Compute r using r = b + 8, which gives r = 54.\n4. Compute x using x = r + 12, which gives x = 66.\n5. Compute e using e = x + 9, which gives e = 75.\n6. Compute d using d = e + 20, which gives d = 95.\n\nThus, the final answer is d = \\boxed{95}.",
"index": 89,
"question": "Suppose a collection of variables is related by the following definitions: s = u + 15; f = j + 2; g = 13; x = r + 12; e = x + 9; a = s + 10; d = e + 20; u = f + 11; n = g + 7; j = n + 10; b = v + 19; v = g + 14; r = b + 8. Given that g = 13, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"i": "r + 19", "q": "i + 12", "o": "q + 9", "u": "o + 11", "e": "u + 14", "t": "e + 10", "b": "r + 15", "l": "b + 3", "f": "l + 18", "n": "f + 13", "x": "n + 3", "p": "x + 20", "r": 9}, "premises": {"r": 9}, "target": "t"}, "answer": {"steps": [["i", "r + 19", 28], ["q", "i + 12", 40], ["o", "q + 9", 49], ["u", "o + 11", 60], ["e", "u + 14", 74], ["t", "e + 10", 84]], "target_var_name": "t", "target_value": 84, "value_dict": {"r": 9, "i": 28, "q": 40, "o": 49, "u": 60, "e": 74, "t": 84}, "is_reverse": false}}
| 90
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = l + 18; r = 9; t = e + 10; x = n + 3; e = u + 14; l = b + 3; p = x + 20; b = r + 15; q = i + 12; u = o + 11; i = r + 19; n = f + 13; o = q + 9. If r = 9, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = r + 19, which gives i = 28.\n2. Compute q using q = i + 12, which gives q = 40.\n3. Compute o using o = q + 9, which gives o = 49.\n4. Compute u using u = o + 11, which gives u = 60.\n5. Compute e using e = u + 14, which gives e = 74.\n6. Compute t using t = e + 10, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 90,
"question": "Consider a system of variables where each variable is defined as follows: f = l + 18; r = 9; t = e + 10; x = n + 3; e = u + 14; l = b + 3; p = x + 20; b = r + 15; q = i + 12; u = o + 11; i = r + 19; n = f + 13; o = q + 9. If r = 9, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"f": "g + 17", "d": "f + 3", "t": "d + 12", "k": "t + 5", "c": "k + 9", "i": "c + 14", "p": "g + 11", "u": "p + 18", "o": "u + 9", "x": "o + 8", "z": "x + 2", "w": "z + 17", "g": 4}, "premises": {"g": 4}, "target": "i"}, "answer": {"steps": [["c", "k + 9", "k + 23"], ["k", "t + 5", "t + 28"], ["t", "d + 12", "d + 40"], ["d", "f + 3", "f + 43"], ["f", "g + 17", "g + 60"], ["g", 4, "64"]], "target_var_name": "i", "target_value": 64, "value_dict": {"g": 4}, "is_reverse": true}}
| 91
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = z + 17; g = 4; d = f + 3; t = d + 12; f = g + 17; p = g + 11; c = k + 9; z = x + 2; k = t + 5; o = u + 9; i = c + 14; u = p + 18; x = o + 8. If g = 4, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 9 to i, which gives i = k + 23.\n2. Substitute k = t + 5 to i, which gives i = t + 28.\n3. Substitute t = d + 12 to i, which gives i = d + 40.\n4. Substitute d = f + 3 to i, which gives i = f + 43.\n5. Substitute f = g + 17 to i, which gives i = g + 60.\n6. Substitute g = 4 to i, which gives i = 64.\n\nThus, the final answer is i = \\boxed{64}.",
"index": 91,
"question": "Consider a system of variables where each variable is defined as follows: w = z + 17; g = 4; d = f + 3; t = d + 12; f = g + 17; p = g + 11; c = k + 9; z = x + 2; k = t + 5; o = u + 9; i = c + 14; u = p + 18; x = o + 8. If g = 4, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"p": "o + 1", "v": "p + 18", "f": "v + 14", "s": "f + 11", "r": "s + 20", "n": "r + 2", "w": "o + 16", "m": "w + 11", "z": "m + 5", "x": "z + 9", "e": "x + 10", "c": "e + 9", "o": 17}, "premises": {"o": 17}, "target": "n"}, "answer": {"steps": [["p", "o + 1", 18], ["v", "p + 18", 36], ["f", "v + 14", 50], ["s", "f + 11", 61], ["r", "s + 20", 81], ["n", "r + 2", 83]], "target_var_name": "n", "target_value": 83, "value_dict": {"o": 17, "p": 18, "v": 36, "f": 50, "s": 61, "r": 81, "n": 83}, "is_reverse": false}}
| 92
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = s + 20; c = e + 9; p = o + 1; f = v + 14; o = 17; z = m + 5; n = r + 2; x = z + 9; w = o + 16; m = w + 11; v = p + 18; e = x + 10; s = f + 11. If o = 17, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = o + 1, which gives p = 18.\n2. Compute v using v = p + 18, which gives v = 36.\n3. Compute f using f = v + 14, which gives f = 50.\n4. Compute s using s = f + 11, which gives s = 61.\n5. Compute r using r = s + 20, which gives r = 81.\n6. Compute n using n = r + 2, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 92,
"question": "Consider a system of variables where each variable is defined as follows: r = s + 20; c = e + 9; p = o + 1; f = v + 14; o = 17; z = m + 5; n = r + 2; x = z + 9; w = o + 16; m = w + 11; v = p + 18; e = x + 10; s = f + 11. If o = 17, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"o": "i + 12", "k": "o + 8", "m": "k + 14", "s": "m + 11", "f": "s + 16", "z": "f + 20", "w": "i + 14", "p": "w + 13", "e": "p + 13", "h": "e + 19", "v": "h + 9", "x": "v + 1", "i": 12}, "premises": {"i": 12}, "target": "z"}, "answer": {"steps": [["o", "i + 12", 24], ["k", "o + 8", 32], ["m", "k + 14", 46], ["s", "m + 11", 57], ["f", "s + 16", 73], ["z", "f + 20", 93]], "target_var_name": "z", "target_value": 93, "value_dict": {"i": 12, "o": 24, "k": 32, "m": 46, "s": 57, "f": 73, "z": 93}, "is_reverse": false}}
| 93
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = i + 12; e = p + 13; x = v + 1; f = s + 16; k = o + 8; w = i + 14; z = f + 20; m = k + 14; h = e + 19; s = m + 11; p = w + 13; v = h + 9; i = 12. If i = 12, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = i + 12, which gives o = 24.\n2. Compute k using k = o + 8, which gives k = 32.\n3. Compute m using m = k + 14, which gives m = 46.\n4. Compute s using s = m + 11, which gives s = 57.\n5. Compute f using f = s + 16, which gives f = 73.\n6. Compute z using z = f + 20, which gives z = 93.\n\nThus, the final answer is z = \\boxed{93}.",
"index": 93,
"question": "Consider a system of variables where each variable is defined as follows: o = i + 12; e = p + 13; x = v + 1; f = s + 16; k = o + 8; w = i + 14; z = f + 20; m = k + 14; h = e + 19; s = m + 11; p = w + 13; v = h + 9; i = 12. If i = 12, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"g": "t + 15", "d": "g + 18", "v": "d + 19", "x": "v + 15", "r": "x + 10", "a": "r + 13", "i": "t + 10", "q": "i + 18", "z": "q + 20", "f": "z + 2", "o": "f + 18", "s": "o + 4", "t": 7}, "premises": {"t": 7}, "target": "a"}, "answer": {"steps": [["g", "t + 15", 22], ["d", "g + 18", 40], ["v", "d + 19", 59], ["x", "v + 15", 74], ["r", "x + 10", 84], ["a", "r + 13", 97]], "target_var_name": "a", "target_value": 97, "value_dict": {"t": 7, "g": 22, "d": 40, "v": 59, "x": 74, "r": 84, "a": 97}, "is_reverse": false}}
| 94
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 10; q = i + 18; t = 7; s = o + 4; o = f + 18; d = g + 18; x = v + 15; f = z + 2; z = q + 20; r = x + 10; a = r + 13; g = t + 15; v = d + 19. If t = 7, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = t + 15, which gives g = 22.\n2. Compute d using d = g + 18, which gives d = 40.\n3. Compute v using v = d + 19, which gives v = 59.\n4. Compute x using x = v + 15, which gives x = 74.\n5. Compute r using r = x + 10, which gives r = 84.\n6. Compute a using a = r + 13, which gives a = 97.\n\nThus, the final answer is a = \\boxed{97}.",
"index": 94,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = t + 10; q = i + 18; t = 7; s = o + 4; o = f + 18; d = g + 18; x = v + 15; f = z + 2; z = q + 20; r = x + 10; a = r + 13; g = t + 15; v = d + 19. If t = 7, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"y": "c + 20", "z": "y + 20", "b": "z + 5", "s": "b + 12", "r": "s + 19", "d": "r + 11", "i": "c + 1", "t": "i + 9", "q": "t + 14", "v": "q + 19", "m": "v + 13", "w": "m + 10", "c": 10}, "premises": {"c": 10}, "target": "d"}, "answer": {"steps": [["r", "s + 19", "s + 30"], ["s", "b + 12", "b + 42"], ["b", "z + 5", "z + 47"], ["z", "y + 20", "y + 67"], ["y", "c + 20", "c + 87"], ["c", 10, "97"]], "target_var_name": "d", "target_value": 97, "value_dict": {"c": 10}, "is_reverse": true}}
| 95
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = s + 19; i = c + 1; z = y + 20; w = m + 10; m = v + 13; q = t + 14; s = b + 12; y = c + 20; t = i + 9; b = z + 5; d = r + 11; v = q + 19; c = 10. If c = 10, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 19 to d, which gives d = s + 30.\n2. Substitute s = b + 12 to d, which gives d = b + 42.\n3. Substitute b = z + 5 to d, which gives d = z + 47.\n4. Substitute z = y + 20 to d, which gives d = y + 67.\n5. Substitute y = c + 20 to d, which gives d = c + 87.\n6. Substitute c = 10 to d, which gives d = 97.\n\nThus, the final answer is d = \\boxed{97}.",
"index": 95,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = s + 19; i = c + 1; z = y + 20; w = m + 10; m = v + 13; q = t + 14; s = b + 12; y = c + 20; t = i + 9; b = z + 5; d = r + 11; v = q + 19; c = 10. If c = 10, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 2", "b": "i + 7", "z": "b + 20", "o": "z + 9", "u": "o + 2", "c": "u + 2", "r": "g + 20", "h": "r + 12", "f": "h + 1", "x": "f + 20", "a": "x + 16", "j": "a + 19", "g": 14}, "premises": {"g": 14}, "target": "c"}, "answer": {"steps": [["u", "o + 2", "o + 4"], ["o", "z + 9", "z + 13"], ["z", "b + 20", "b + 33"], ["b", "i + 7", "i + 40"], ["i", "g + 2", "g + 42"], ["g", 14, "56"]], "target_var_name": "c", "target_value": 56, "value_dict": {"g": 14}, "is_reverse": true}}
| 96
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 7; g = 14; x = f + 20; z = b + 20; r = g + 20; o = z + 9; h = r + 12; j = a + 19; i = g + 2; f = h + 1; c = u + 2; u = o + 2; a = x + 16. If g = 14, what is the resulting 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 u = o + 2 to c, which gives c = o + 4.\n2. Substitute o = z + 9 to c, which gives c = z + 13.\n3. Substitute z = b + 20 to c, which gives c = b + 33.\n4. Substitute b = i + 7 to c, which gives c = i + 40.\n5. Substitute i = g + 2 to c, which gives c = g + 42.\n6. Substitute g = 14 to c, which gives c = 56.\n\nThus, the final answer is c = \\boxed{56}.",
"index": 96,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 7; g = 14; x = f + 20; z = b + 20; r = g + 20; o = z + 9; h = r + 12; j = a + 19; i = g + 2; f = h + 1; c = u + 2; u = o + 2; a = x + 16. If g = 14, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"l": "r + 11", "v": "l + 6", "p": "v + 2", "y": "p + 6", "a": "y + 8", "c": "a + 20", "t": "r + 15", "q": "t + 17", "i": "q + 2", "j": "i + 16", "o": "j + 7", "d": "o + 1", "r": 10}, "premises": {"r": 10}, "target": "c"}, "answer": {"steps": [["l", "r + 11", 21], ["v", "l + 6", 27], ["p", "v + 2", 29], ["y", "p + 6", 35], ["a", "y + 8", 43], ["c", "a + 20", 63]], "target_var_name": "c", "target_value": 63, "value_dict": {"r": 10, "l": 21, "v": 27, "p": 29, "y": 35, "a": 43, "c": 63}, "is_reverse": false}}
| 97
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = y + 8; l = r + 11; r = 10; y = p + 6; v = l + 6; q = t + 17; p = v + 2; d = o + 1; c = a + 20; t = r + 15; i = q + 2; o = j + 7; j = i + 16. Given that r = 10, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = r + 11, which gives l = 21.\n2. Compute v using v = l + 6, which gives v = 27.\n3. Compute p using p = v + 2, which gives p = 29.\n4. Compute y using y = p + 6, which gives y = 35.\n5. Compute a using a = y + 8, which gives a = 43.\n6. Compute c using c = a + 20, which gives c = 63.\n\nThus, the final answer is c = \\boxed{63}.",
"index": 97,
"question": "Suppose a collection of variables is related by the following definitions: a = y + 8; l = r + 11; r = 10; y = p + 6; v = l + 6; q = t + 17; p = v + 2; d = o + 1; c = a + 20; t = r + 15; i = q + 2; o = j + 7; j = i + 16. Given that r = 10, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"d": "a + 16", "j": "d + 15", "u": "j + 20", "n": "u + 12", "v": "n + 18", "x": "v + 16", "o": "a + 11", "k": "o + 3", "f": "k + 4", "b": "f + 5", "l": "b + 13", "h": "l + 11", "a": 19}, "premises": {"a": 19}, "target": "x"}, "answer": {"steps": [["v", "n + 18", "n + 34"], ["n", "u + 12", "u + 46"], ["u", "j + 20", "j + 66"], ["j", "d + 15", "d + 81"], ["d", "a + 16", "a + 97"], ["a", 19, "116"]], "target_var_name": "x", "target_value": 116, "value_dict": {"a": 19}, "is_reverse": true}}
| 98
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = d + 15; o = a + 11; f = k + 4; h = l + 11; k = o + 3; u = j + 20; d = a + 16; x = v + 16; l = b + 13; a = 19; v = n + 18; b = f + 5; n = u + 12. Given that a = 19, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 116,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 18 to x, which gives x = n + 34.\n2. Substitute n = u + 12 to x, which gives x = u + 46.\n3. Substitute u = j + 20 to x, which gives x = j + 66.\n4. Substitute j = d + 15 to x, which gives x = d + 81.\n5. Substitute d = a + 16 to x, which gives x = a + 97.\n6. Substitute a = 19 to x, which gives x = 116.\n\nThus, the final answer is x = \\boxed{116}.",
"index": 98,
"question": "Suppose a collection of variables is related by the following definitions: j = d + 15; o = a + 11; f = k + 4; h = l + 11; k = o + 3; u = j + 20; d = a + 16; x = v + 16; l = b + 13; a = 19; v = n + 18; b = f + 5; n = u + 12. Given that a = 19, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"x": "k + 10", "o": "x + 12", "l": "o + 17", "w": "l + 14", "g": "w + 10", "b": "g + 7", "e": "k + 11", "a": "e + 20", "i": "a + 6", "c": "i + 13", "p": "c + 10", "s": "p + 12", "k": 10}, "premises": {"k": 10}, "target": "b"}, "answer": {"steps": [["g", "w + 10", "w + 17"], ["w", "l + 14", "l + 31"], ["l", "o + 17", "o + 48"], ["o", "x + 12", "x + 60"], ["x", "k + 10", "k + 70"], ["k", 10, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"k": 10}, "is_reverse": true}}
| 99
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = w + 10; x = k + 10; e = k + 11; a = e + 20; s = p + 12; w = l + 14; o = x + 12; l = o + 17; b = g + 7; c = i + 13; k = 10; i = a + 6; p = c + 10. Given that k = 10, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 10 to b, which gives b = w + 17.\n2. Substitute w = l + 14 to b, which gives b = l + 31.\n3. Substitute l = o + 17 to b, which gives b = o + 48.\n4. Substitute o = x + 12 to b, which gives b = x + 60.\n5. Substitute x = k + 10 to b, which gives b = k + 70.\n6. Substitute k = 10 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 99,
"question": "Suppose a collection of variables is related by the following definitions: g = w + 10; x = k + 10; e = k + 11; a = e + 20; s = p + 12; w = l + 14; o = x + 12; l = o + 17; b = g + 7; c = i + 13; k = 10; i = a + 6; p = c + 10. Given that k = 10, find the value of b.",
"split": "train"
}
|
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