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": {"b": "x + 10", "w": "b + 18", "k": "w + 8", "g": "k + 3", "d": "g + 19", "p": "d + 14", "h": "x + 16", "i": "h + 8", "c": "i + 11", "y": "c + 6", "s": "y + 6", "j": "s + 19", "x": 3}, "premises": {"x": 3}, "target": "p"}, "answer": {"steps": [["d", "g + 19", "g + 33"], ["g", "k + 3", "k + 36"], ["k", "w + 8", "w + 44"], ["w", "b + 18", "b + 62"], ["b", "x + 10", "x + 72"], ["x", 3, "75"]], "target_var_name": "p", "target_value": 75, "value_dict": {"x": 3}, "is_reverse": true}}
| 200
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = c + 6; i = h + 8; b = x + 10; h = x + 16; s = y + 6; k = w + 8; p = d + 14; j = s + 19; w = b + 18; c = i + 11; g = k + 3; d = g + 19; x = 3. If x = 3, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 19 to p, which gives p = g + 33.\n2. Substitute g = k + 3 to p, which gives p = k + 36.\n3. Substitute k = w + 8 to p, which gives p = w + 44.\n4. Substitute w = b + 18 to p, which gives p = b + 62.\n5. Substitute b = x + 10 to p, which gives p = x + 72.\n6. Substitute x = 3 to p, which gives p = 75.\n\nThus, the final answer is p = \\boxed{75}.",
"index": 200,
"question": "Consider a system of variables where each variable is defined as follows: y = c + 6; i = h + 8; b = x + 10; h = x + 16; s = y + 6; k = w + 8; p = d + 14; j = s + 19; w = b + 18; c = i + 11; g = k + 3; d = g + 19; x = 3. If x = 3, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 8", "j": "c + 20", "r": "j + 17", "v": "r + 18", "o": "v + 6", "z": "o + 2", "s": "d + 5", "h": "s + 14", "l": "h + 12", "m": "l + 15", "x": "m + 20", "p": "x + 5", "d": 7}, "premises": {"d": 7}, "target": "z"}, "answer": {"steps": [["c", "d + 8", 15], ["j", "c + 20", 35], ["r", "j + 17", 52], ["v", "r + 18", 70], ["o", "v + 6", 76], ["z", "o + 2", 78]], "target_var_name": "z", "target_value": 78, "value_dict": {"d": 7, "c": 15, "j": 35, "r": 52, "v": 70, "o": 76, "z": 78}, "is_reverse": false}}
| 201
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = j + 17; o = v + 6; m = l + 15; c = d + 8; d = 7; x = m + 20; z = o + 2; j = c + 20; p = x + 5; h = s + 14; l = h + 12; s = d + 5; v = r + 18. Given that d = 7, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = d + 8, which gives c = 15.\n2. Compute j using j = c + 20, which gives j = 35.\n3. Compute r using r = j + 17, which gives r = 52.\n4. Compute v using v = r + 18, which gives v = 70.\n5. Compute o using o = v + 6, which gives o = 76.\n6. Compute z using z = o + 2, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 201,
"question": "Suppose a collection of variables is related by the following definitions: r = j + 17; o = v + 6; m = l + 15; c = d + 8; d = 7; x = m + 20; z = o + 2; j = c + 20; p = x + 5; h = s + 14; l = h + 12; s = d + 5; v = r + 18. Given that d = 7, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"g": "y + 13", "q": "g + 9", "n": "q + 13", "d": "n + 10", "x": "d + 4", "w": "x + 4", "j": "y + 1", "e": "j + 11", "m": "e + 18", "b": "m + 18", "p": "b + 13", "o": "p + 20", "y": 17}, "premises": {"y": 17}, "target": "w"}, "answer": {"steps": [["x", "d + 4", "d + 8"], ["d", "n + 10", "n + 18"], ["n", "q + 13", "q + 31"], ["q", "g + 9", "g + 40"], ["g", "y + 13", "y + 53"], ["y", 17, "70"]], "target_var_name": "w", "target_value": 70, "value_dict": {"y": 17}, "is_reverse": true}}
| 202
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 9; o = p + 20; w = x + 4; x = d + 4; b = m + 18; p = b + 13; m = e + 18; e = j + 11; j = y + 1; y = 17; n = q + 13; g = y + 13; d = n + 10. If y = 17, what is the resulting 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 x = d + 4 to w, which gives w = d + 8.\n2. Substitute d = n + 10 to w, which gives w = n + 18.\n3. Substitute n = q + 13 to w, which gives w = q + 31.\n4. Substitute q = g + 9 to w, which gives w = g + 40.\n5. Substitute g = y + 13 to w, which gives w = y + 53.\n6. Substitute y = 17 to w, which gives w = 70.\n\nThus, the final answer is w = \\boxed{70}.",
"index": 202,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 9; o = p + 20; w = x + 4; x = d + 4; b = m + 18; p = b + 13; m = e + 18; e = j + 11; j = y + 1; y = 17; n = q + 13; g = y + 13; d = n + 10. If y = 17, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"i": "d + 17", "q": "i + 6", "g": "q + 7", "y": "g + 8", "n": "y + 18", "v": "n + 8", "m": "d + 11", "w": "m + 1", "e": "w + 17", "l": "e + 2", "h": "l + 4", "x": "h + 15", "d": 7}, "premises": {"d": 7}, "target": "v"}, "answer": {"steps": [["n", "y + 18", "y + 26"], ["y", "g + 8", "g + 34"], ["g", "q + 7", "q + 41"], ["q", "i + 6", "i + 47"], ["i", "d + 17", "d + 64"], ["d", 7, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"d": 7}, "is_reverse": true}}
| 203
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = d + 11; y = g + 8; i = d + 17; w = m + 1; g = q + 7; q = i + 6; h = l + 4; e = w + 17; d = 7; x = h + 15; v = n + 8; l = e + 2; n = y + 18. If d = 7, 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. Substitute n = y + 18 to v, which gives v = y + 26.\n2. Substitute y = g + 8 to v, which gives v = g + 34.\n3. Substitute g = q + 7 to v, which gives v = q + 41.\n4. Substitute q = i + 6 to v, which gives v = i + 47.\n5. Substitute i = d + 17 to v, which gives v = d + 64.\n6. Substitute d = 7 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 203,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = d + 11; y = g + 8; i = d + 17; w = m + 1; g = q + 7; q = i + 6; h = l + 4; e = w + 17; d = 7; x = h + 15; v = n + 8; l = e + 2; n = y + 18. If d = 7, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"o": "r + 6", "z": "o + 6", "f": "z + 18", "h": "f + 16", "y": "h + 6", "u": "y + 17", "s": "r + 11", "a": "s + 9", "v": "a + 4", "d": "v + 13", "b": "d + 18", "e": "b + 9", "r": 11}, "premises": {"r": 11}, "target": "u"}, "answer": {"steps": [["o", "r + 6", 17], ["z", "o + 6", 23], ["f", "z + 18", 41], ["h", "f + 16", 57], ["y", "h + 6", 63], ["u", "y + 17", 80]], "target_var_name": "u", "target_value": 80, "value_dict": {"r": 11, "o": 17, "z": 23, "f": 41, "h": 57, "y": 63, "u": 80}, "is_reverse": false}}
| 204
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 6; d = v + 13; s = r + 11; h = f + 16; a = s + 9; b = d + 18; v = a + 4; z = o + 6; y = h + 6; u = y + 17; f = z + 18; r = 11; e = b + 9. If r = 11, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = r + 6, which gives o = 17.\n2. Compute z using z = o + 6, which gives z = 23.\n3. Compute f using f = z + 18, which gives f = 41.\n4. Compute h using h = f + 16, which gives h = 57.\n5. Compute y using y = h + 6, which gives y = 63.\n6. Compute u using u = y + 17, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 204,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 6; d = v + 13; s = r + 11; h = f + 16; a = s + 9; b = d + 18; v = a + 4; z = o + 6; y = h + 6; u = y + 17; f = z + 18; r = 11; e = b + 9. If r = 11, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"u": "a + 14", "r": "u + 1", "h": "r + 8", "l": "h + 20", "o": "l + 14", "k": "o + 2", "q": "a + 17", "b": "q + 8", "f": "b + 17", "t": "f + 11", "z": "t + 11", "j": "z + 2", "a": 18}, "premises": {"a": 18}, "target": "k"}, "answer": {"steps": [["o", "l + 14", "l + 16"], ["l", "h + 20", "h + 36"], ["h", "r + 8", "r + 44"], ["r", "u + 1", "u + 45"], ["u", "a + 14", "a + 59"], ["a", 18, "77"]], "target_var_name": "k", "target_value": 77, "value_dict": {"a": 18}, "is_reverse": true}}
| 205
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = r + 8; u = a + 14; z = t + 11; t = f + 11; a = 18; r = u + 1; f = b + 17; j = z + 2; q = a + 17; b = q + 8; o = l + 14; l = h + 20; k = o + 2. If a = 18, determine 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. Substitute o = l + 14 to k, which gives k = l + 16.\n2. Substitute l = h + 20 to k, which gives k = h + 36.\n3. Substitute h = r + 8 to k, which gives k = r + 44.\n4. Substitute r = u + 1 to k, which gives k = u + 45.\n5. Substitute u = a + 14 to k, which gives k = a + 59.\n6. Substitute a = 18 to k, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 205,
"question": "Consider a system of variables where each variable is defined as follows: h = r + 8; u = a + 14; z = t + 11; t = f + 11; a = 18; r = u + 1; f = b + 17; j = z + 2; q = a + 17; b = q + 8; o = l + 14; l = h + 20; k = o + 2. If a = 18, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"m": "v + 2", "z": "m + 10", "i": "z + 8", "y": "i + 17", "a": "y + 19", "x": "a + 12", "l": "v + 9", "g": "l + 13", "d": "g + 10", "u": "d + 8", "q": "u + 8", "o": "q + 15", "v": 11}, "premises": {"v": 11}, "target": "x"}, "answer": {"steps": [["m", "v + 2", 13], ["z", "m + 10", 23], ["i", "z + 8", 31], ["y", "i + 17", 48], ["a", "y + 19", 67], ["x", "a + 12", 79]], "target_var_name": "x", "target_value": 79, "value_dict": {"v": 11, "m": 13, "z": 23, "i": 31, "y": 48, "a": 67, "x": 79}, "is_reverse": false}}
| 206
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = 11; d = g + 10; i = z + 8; a = y + 19; l = v + 9; q = u + 8; z = m + 10; o = q + 15; u = d + 8; m = v + 2; y = i + 17; g = l + 13; x = a + 12. If v = 11, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = v + 2, which gives m = 13.\n2. Compute z using z = m + 10, which gives z = 23.\n3. Compute i using i = z + 8, which gives i = 31.\n4. Compute y using y = i + 17, which gives y = 48.\n5. Compute a using a = y + 19, which gives a = 67.\n6. Compute x using x = a + 12, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 206,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = 11; d = g + 10; i = z + 8; a = y + 19; l = v + 9; q = u + 8; z = m + 10; o = q + 15; u = d + 8; m = v + 2; y = i + 17; g = l + 13; x = a + 12. If v = 11, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"k": "y + 7", "i": "k + 17", "v": "i + 15", "f": "v + 18", "g": "f + 1", "r": "g + 11", "b": "y + 5", "u": "b + 8", "c": "u + 10", "o": "c + 12", "m": "o + 11", "z": "m + 3", "y": 20}, "premises": {"y": 20}, "target": "r"}, "answer": {"steps": [["g", "f + 1", "f + 12"], ["f", "v + 18", "v + 30"], ["v", "i + 15", "i + 45"], ["i", "k + 17", "k + 62"], ["k", "y + 7", "y + 69"], ["y", 20, "89"]], "target_var_name": "r", "target_value": 89, "value_dict": {"y": 20}, "is_reverse": true}}
| 207
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 17; y = 20; f = v + 18; m = o + 11; o = c + 12; k = y + 7; v = i + 15; c = u + 10; r = g + 11; z = m + 3; b = y + 5; g = f + 1; u = b + 8. If y = 20, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 1 to r, which gives r = f + 12.\n2. Substitute f = v + 18 to r, which gives r = v + 30.\n3. Substitute v = i + 15 to r, which gives r = i + 45.\n4. Substitute i = k + 17 to r, which gives r = k + 62.\n5. Substitute k = y + 7 to r, which gives r = y + 69.\n6. Substitute y = 20 to r, which gives r = 89.\n\nThus, the final answer is r = \\boxed{89}.",
"index": 207,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 17; y = 20; f = v + 18; m = o + 11; o = c + 12; k = y + 7; v = i + 15; c = u + 10; r = g + 11; z = m + 3; b = y + 5; g = f + 1; u = b + 8. If y = 20, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"h": "p + 3", "w": "h + 10", "s": "w + 13", "y": "s + 6", "z": "y + 15", "i": "z + 1", "d": "p + 15", "e": "d + 4", "n": "e + 3", "f": "n + 17", "l": "f + 1", "m": "l + 18", "p": 1}, "premises": {"p": 1}, "target": "i"}, "answer": {"steps": [["h", "p + 3", 4], ["w", "h + 10", 14], ["s", "w + 13", 27], ["y", "s + 6", 33], ["z", "y + 15", 48], ["i", "z + 1", 49]], "target_var_name": "i", "target_value": 49, "value_dict": {"p": 1, "h": 4, "w": 14, "s": 27, "y": 33, "z": 48, "i": 49}, "is_reverse": false}}
| 208
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = p + 3; f = n + 17; d = p + 15; s = w + 13; i = z + 1; y = s + 6; w = h + 10; n = e + 3; l = f + 1; e = d + 4; m = l + 18; z = y + 15; p = 1. If p = 1, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = p + 3, which gives h = 4.\n2. Compute w using w = h + 10, which gives w = 14.\n3. Compute s using s = w + 13, which gives s = 27.\n4. Compute y using y = s + 6, which gives y = 33.\n5. Compute z using z = y + 15, which gives z = 48.\n6. Compute i using i = z + 1, which gives i = 49.\n\nThus, the final answer is i = \\boxed{49}.",
"index": 208,
"question": "Consider a system of variables where each variable is defined as follows: h = p + 3; f = n + 17; d = p + 15; s = w + 13; i = z + 1; y = s + 6; w = h + 10; n = e + 3; l = f + 1; e = d + 4; m = l + 18; z = y + 15; p = 1. If p = 1, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"n": "h + 6", "x": "n + 12", "z": "x + 9", "o": "z + 15", "l": "o + 18", "v": "l + 16", "f": "h + 2", "u": "f + 3", "q": "u + 17", "y": "q + 13", "w": "y + 17", "k": "w + 8", "h": 7}, "premises": {"h": 7}, "target": "v"}, "answer": {"steps": [["n", "h + 6", 13], ["x", "n + 12", 25], ["z", "x + 9", 34], ["o", "z + 15", 49], ["l", "o + 18", 67], ["v", "l + 16", 83]], "target_var_name": "v", "target_value": 83, "value_dict": {"h": 7, "n": 13, "x": 25, "z": 34, "o": 49, "l": 67, "v": 83}, "is_reverse": false}}
| 209
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = l + 16; f = h + 2; q = u + 17; n = h + 6; x = n + 12; k = w + 8; u = f + 3; z = x + 9; y = q + 13; l = o + 18; w = y + 17; o = z + 15; h = 7. If h = 7, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = h + 6, which gives n = 13.\n2. Compute x using x = n + 12, which gives x = 25.\n3. Compute z using z = x + 9, which gives z = 34.\n4. Compute o using o = z + 15, which gives o = 49.\n5. Compute l using l = o + 18, which gives l = 67.\n6. Compute v using v = l + 16, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 209,
"question": "Consider a system of variables where each variable is defined as follows: v = l + 16; f = h + 2; q = u + 17; n = h + 6; x = n + 12; k = w + 8; u = f + 3; z = x + 9; y = q + 13; l = o + 18; w = y + 17; o = z + 15; h = 7. If h = 7, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"f": "b + 9", "l": "f + 5", "n": "l + 9", "z": "n + 2", "w": "z + 5", "p": "w + 7", "y": "b + 15", "o": "y + 9", "j": "o + 6", "x": "j + 4", "s": "x + 16", "c": "s + 19", "b": 18}, "premises": {"b": 18}, "target": "p"}, "answer": {"steps": [["w", "z + 5", "z + 12"], ["z", "n + 2", "n + 14"], ["n", "l + 9", "l + 23"], ["l", "f + 5", "f + 28"], ["f", "b + 9", "b + 37"], ["b", 18, "55"]], "target_var_name": "p", "target_value": 55, "value_dict": {"b": 18}, "is_reverse": true}}
| 210
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = s + 19; y = b + 15; z = n + 2; j = o + 6; w = z + 5; s = x + 16; o = y + 9; x = j + 4; b = 18; l = f + 5; p = w + 7; f = b + 9; n = l + 9. If b = 18, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 5 to p, which gives p = z + 12.\n2. Substitute z = n + 2 to p, which gives p = n + 14.\n3. Substitute n = l + 9 to p, which gives p = l + 23.\n4. Substitute l = f + 5 to p, which gives p = f + 28.\n5. Substitute f = b + 9 to p, which gives p = b + 37.\n6. Substitute b = 18 to p, which gives p = 55.\n\nThus, the final answer is p = \\boxed{55}.",
"index": 210,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = s + 19; y = b + 15; z = n + 2; j = o + 6; w = z + 5; s = x + 16; o = y + 9; x = j + 4; b = 18; l = f + 5; p = w + 7; f = b + 9; n = l + 9. If b = 18, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"q": "s + 20", "g": "q + 18", "x": "g + 1", "k": "x + 5", "y": "k + 19", "c": "y + 15", "m": "s + 16", "p": "m + 1", "l": "p + 13", "t": "l + 9", "h": "t + 16", "j": "h + 11", "s": 15}, "premises": {"s": 15}, "target": "c"}, "answer": {"steps": [["y", "k + 19", "k + 34"], ["k", "x + 5", "x + 39"], ["x", "g + 1", "g + 40"], ["g", "q + 18", "q + 58"], ["q", "s + 20", "s + 78"], ["s", 15, "93"]], "target_var_name": "c", "target_value": 93, "value_dict": {"s": 15}, "is_reverse": true}}
| 211
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 16; p = m + 1; l = p + 13; m = s + 16; x = g + 1; y = k + 19; q = s + 20; s = 15; t = l + 9; g = q + 18; c = y + 15; k = x + 5; j = h + 11. If s = 15, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 19 to c, which gives c = k + 34.\n2. Substitute k = x + 5 to c, which gives c = x + 39.\n3. Substitute x = g + 1 to c, which gives c = g + 40.\n4. Substitute g = q + 18 to c, which gives c = q + 58.\n5. Substitute q = s + 20 to c, which gives c = s + 78.\n6. Substitute s = 15 to c, which gives c = 93.\n\nThus, the final answer is c = \\boxed{93}.",
"index": 211,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 16; p = m + 1; l = p + 13; m = s + 16; x = g + 1; y = k + 19; q = s + 20; s = 15; t = l + 9; g = q + 18; c = y + 15; k = x + 5; j = h + 11. If s = 15, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"z": "q + 16", "m": "z + 2", "p": "m + 11", "f": "p + 14", "e": "f + 19", "c": "e + 11", "t": "q + 18", "l": "t + 7", "i": "l + 3", "s": "i + 20", "y": "s + 7", "k": "y + 14", "q": 6}, "premises": {"q": 6}, "target": "c"}, "answer": {"steps": [["e", "f + 19", "f + 30"], ["f", "p + 14", "p + 44"], ["p", "m + 11", "m + 55"], ["m", "z + 2", "z + 57"], ["z", "q + 16", "q + 73"], ["q", 6, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"q": 6}, "is_reverse": true}}
| 212
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = q + 18; e = f + 19; f = p + 14; i = l + 3; y = s + 7; s = i + 20; k = y + 14; p = m + 11; l = t + 7; z = q + 16; m = z + 2; q = 6; c = e + 11. If q = 6, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 19 to c, which gives c = f + 30.\n2. Substitute f = p + 14 to c, which gives c = p + 44.\n3. Substitute p = m + 11 to c, which gives c = m + 55.\n4. Substitute m = z + 2 to c, which gives c = z + 57.\n5. Substitute z = q + 16 to c, which gives c = q + 73.\n6. Substitute q = 6 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 212,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = q + 18; e = f + 19; f = p + 14; i = l + 3; y = s + 7; s = i + 20; k = y + 14; p = m + 11; l = t + 7; z = q + 16; m = z + 2; q = 6; c = e + 11. If q = 6, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"p": "a + 3", "l": "p + 3", "s": "l + 14", "r": "s + 2", "z": "r + 16", "k": "z + 15", "h": "a + 20", "e": "h + 10", "w": "e + 11", "x": "w + 10", "j": "x + 10", "q": "j + 11", "a": 5}, "premises": {"a": 5}, "target": "k"}, "answer": {"steps": [["p", "a + 3", 8], ["l", "p + 3", 11], ["s", "l + 14", 25], ["r", "s + 2", 27], ["z", "r + 16", 43], ["k", "z + 15", 58]], "target_var_name": "k", "target_value": 58, "value_dict": {"a": 5, "p": 8, "l": 11, "s": 25, "r": 27, "z": 43, "k": 58}, "is_reverse": false}}
| 213
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = j + 11; x = w + 10; r = s + 2; k = z + 15; a = 5; j = x + 10; w = e + 11; s = l + 14; e = h + 10; p = a + 3; l = p + 3; z = r + 16; h = a + 20. If a = 5, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = a + 3, which gives p = 8.\n2. Compute l using l = p + 3, which gives l = 11.\n3. Compute s using s = l + 14, which gives s = 25.\n4. Compute r using r = s + 2, which gives r = 27.\n5. Compute z using z = r + 16, which gives z = 43.\n6. Compute k using k = z + 15, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 213,
"question": "Consider a system of variables where each variable is defined as follows: q = j + 11; x = w + 10; r = s + 2; k = z + 15; a = 5; j = x + 10; w = e + 11; s = l + 14; e = h + 10; p = a + 3; l = p + 3; z = r + 16; h = a + 20. If a = 5, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"y": "g + 9", "n": "y + 6", "p": "n + 19", "o": "p + 9", "i": "o + 14", "u": "i + 2", "x": "g + 3", "f": "x + 11", "z": "f + 12", "e": "z + 6", "q": "e + 4", "c": "q + 13", "g": 1}, "premises": {"g": 1}, "target": "u"}, "answer": {"steps": [["i", "o + 14", "o + 16"], ["o", "p + 9", "p + 25"], ["p", "n + 19", "n + 44"], ["n", "y + 6", "y + 50"], ["y", "g + 9", "g + 59"], ["g", 1, "60"]], "target_var_name": "u", "target_value": 60, "value_dict": {"g": 1}, "is_reverse": true}}
| 214
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = 1; e = z + 6; z = f + 12; o = p + 9; c = q + 13; n = y + 6; i = o + 14; p = n + 19; q = e + 4; u = i + 2; x = g + 3; f = x + 11; y = g + 9. Given that g = 1, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 14 to u, which gives u = o + 16.\n2. Substitute o = p + 9 to u, which gives u = p + 25.\n3. Substitute p = n + 19 to u, which gives u = n + 44.\n4. Substitute n = y + 6 to u, which gives u = y + 50.\n5. Substitute y = g + 9 to u, which gives u = g + 59.\n6. Substitute g = 1 to u, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 214,
"question": "Suppose a collection of variables is related by the following definitions: g = 1; e = z + 6; z = f + 12; o = p + 9; c = q + 13; n = y + 6; i = o + 14; p = n + 19; q = e + 4; u = i + 2; x = g + 3; f = x + 11; y = g + 9. Given that g = 1, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"q": "j + 11", "b": "q + 15", "n": "b + 17", "c": "n + 17", "y": "c + 10", "z": "y + 7", "f": "j + 19", "h": "f + 12", "r": "h + 18", "m": "r + 4", "w": "m + 3", "p": "w + 8", "j": 5}, "premises": {"j": 5}, "target": "z"}, "answer": {"steps": [["y", "c + 10", "c + 17"], ["c", "n + 17", "n + 34"], ["n", "b + 17", "b + 51"], ["b", "q + 15", "q + 66"], ["q", "j + 11", "j + 77"], ["j", 5, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"j": 5}, "is_reverse": true}}
| 215
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = 5; m = r + 4; r = h + 18; q = j + 11; w = m + 3; p = w + 8; c = n + 17; z = y + 7; f = j + 19; n = b + 17; h = f + 12; y = c + 10; b = q + 15. If j = 5, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 10 to z, which gives z = c + 17.\n2. Substitute c = n + 17 to z, which gives z = n + 34.\n3. Substitute n = b + 17 to z, which gives z = b + 51.\n4. Substitute b = q + 15 to z, which gives z = q + 66.\n5. Substitute q = j + 11 to z, which gives z = j + 77.\n6. Substitute j = 5 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 215,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 5; m = r + 4; r = h + 18; q = j + 11; w = m + 3; p = w + 8; c = n + 17; z = y + 7; f = j + 19; n = b + 17; h = f + 12; y = c + 10; b = q + 15. If j = 5, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"t": "i + 11", "x": "t + 5", "u": "x + 2", "y": "u + 6", "h": "y + 7", "c": "h + 16", "e": "i + 9", "o": "e + 12", "s": "o + 10", "j": "s + 14", "p": "j + 10", "l": "p + 1", "i": 14}, "premises": {"i": 14}, "target": "c"}, "answer": {"steps": [["h", "y + 7", "y + 23"], ["y", "u + 6", "u + 29"], ["u", "x + 2", "x + 31"], ["x", "t + 5", "t + 36"], ["t", "i + 11", "i + 47"], ["i", 14, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"i": 14}, "is_reverse": true}}
| 216
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = j + 10; h = y + 7; c = h + 16; s = o + 10; t = i + 11; j = s + 14; e = i + 9; x = t + 5; l = p + 1; o = e + 12; i = 14; y = u + 6; u = x + 2. If i = 14, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 7 to c, which gives c = y + 23.\n2. Substitute y = u + 6 to c, which gives c = u + 29.\n3. Substitute u = x + 2 to c, which gives c = x + 31.\n4. Substitute x = t + 5 to c, which gives c = t + 36.\n5. Substitute t = i + 11 to c, which gives c = i + 47.\n6. Substitute i = 14 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 216,
"question": "Consider a system of variables where each variable is defined as follows: p = j + 10; h = y + 7; c = h + 16; s = o + 10; t = i + 11; j = s + 14; e = i + 9; x = t + 5; l = p + 1; o = e + 12; i = 14; y = u + 6; u = x + 2. If i = 14, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"y": "o + 13", "j": "y + 19", "x": "j + 1", "b": "x + 8", "d": "b + 13", "w": "d + 15", "n": "o + 13", "g": "n + 3", "k": "g + 16", "m": "k + 18", "p": "m + 11", "u": "p + 14", "o": 20}, "premises": {"o": 20}, "target": "w"}, "answer": {"steps": [["y", "o + 13", 33], ["j", "y + 19", 52], ["x", "j + 1", 53], ["b", "x + 8", 61], ["d", "b + 13", 74], ["w", "d + 15", 89]], "target_var_name": "w", "target_value": 89, "value_dict": {"o": 20, "y": 33, "j": 52, "x": 53, "b": 61, "d": 74, "w": 89}, "is_reverse": false}}
| 217
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 18; n = o + 13; d = b + 13; o = 20; x = j + 1; b = x + 8; j = y + 19; k = g + 16; u = p + 14; w = d + 15; p = m + 11; y = o + 13; g = n + 3. If o = 20, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = o + 13, which gives y = 33.\n2. Compute j using j = y + 19, which gives j = 52.\n3. Compute x using x = j + 1, which gives x = 53.\n4. Compute b using b = x + 8, which gives b = 61.\n5. Compute d using d = b + 13, which gives d = 74.\n6. Compute w using w = d + 15, which gives w = 89.\n\nThus, the final answer is w = \\boxed{89}.",
"index": 217,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 18; n = o + 13; d = b + 13; o = 20; x = j + 1; b = x + 8; j = y + 19; k = g + 16; u = p + 14; w = d + 15; p = m + 11; y = o + 13; g = n + 3. If o = 20, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 16", "r": "d + 7", "j": "r + 5", "k": "j + 18", "t": "k + 5", "a": "t + 5", "w": "c + 19", "b": "w + 9", "e": "b + 17", "g": "e + 17", "v": "g + 8", "p": "v + 17", "c": 17}, "premises": {"c": 17}, "target": "a"}, "answer": {"steps": [["d", "c + 16", 33], ["r", "d + 7", 40], ["j", "r + 5", 45], ["k", "j + 18", 63], ["t", "k + 5", 68], ["a", "t + 5", 73]], "target_var_name": "a", "target_value": 73, "value_dict": {"c": 17, "d": 33, "r": 40, "j": 45, "k": 63, "t": 68, "a": 73}, "is_reverse": false}}
| 218
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = d + 7; w = c + 19; b = w + 9; e = b + 17; g = e + 17; j = r + 5; a = t + 5; k = j + 18; t = k + 5; v = g + 8; p = v + 17; d = c + 16; c = 17. Given that c = 17, find 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 d using d = c + 16, which gives d = 33.\n2. Compute r using r = d + 7, which gives r = 40.\n3. Compute j using j = r + 5, which gives j = 45.\n4. Compute k using k = j + 18, which gives k = 63.\n5. Compute t using t = k + 5, which gives t = 68.\n6. Compute a using a = t + 5, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 218,
"question": "Suppose a collection of variables is related by the following definitions: r = d + 7; w = c + 19; b = w + 9; e = b + 17; g = e + 17; j = r + 5; a = t + 5; k = j + 18; t = k + 5; v = g + 8; p = v + 17; d = c + 16; c = 17. Given that c = 17, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"v": "e + 13", "q": "v + 14", "f": "q + 10", "k": "f + 9", "u": "k + 11", "s": "u + 7", "b": "e + 1", "r": "b + 10", "o": "r + 10", "p": "o + 8", "j": "p + 11", "l": "j + 17", "e": 11}, "premises": {"e": 11}, "target": "s"}, "answer": {"steps": [["u", "k + 11", "k + 18"], ["k", "f + 9", "f + 27"], ["f", "q + 10", "q + 37"], ["q", "v + 14", "v + 51"], ["v", "e + 13", "e + 64"], ["e", 11, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"e": 11}, "is_reverse": true}}
| 219
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = f + 9; e = 11; p = o + 8; s = u + 7; f = q + 10; b = e + 1; o = r + 10; u = k + 11; r = b + 10; q = v + 14; j = p + 11; v = e + 13; l = j + 17. If e = 11, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 11 to s, which gives s = k + 18.\n2. Substitute k = f + 9 to s, which gives s = f + 27.\n3. Substitute f = q + 10 to s, which gives s = q + 37.\n4. Substitute q = v + 14 to s, which gives s = v + 51.\n5. Substitute v = e + 13 to s, which gives s = e + 64.\n6. Substitute e = 11 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 219,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = f + 9; e = 11; p = o + 8; s = u + 7; f = q + 10; b = e + 1; o = r + 10; u = k + 11; r = b + 10; q = v + 14; j = p + 11; v = e + 13; l = j + 17. If e = 11, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"v": "c + 19", "e": "v + 4", "w": "e + 8", "u": "w + 1", "q": "u + 15", "h": "q + 4", "l": "c + 16", "i": "l + 3", "t": "i + 17", "z": "t + 7", "s": "z + 19", "d": "s + 4", "c": 1}, "premises": {"c": 1}, "target": "h"}, "answer": {"steps": [["v", "c + 19", 20], ["e", "v + 4", 24], ["w", "e + 8", 32], ["u", "w + 1", 33], ["q", "u + 15", 48], ["h", "q + 4", 52]], "target_var_name": "h", "target_value": 52, "value_dict": {"c": 1, "v": 20, "e": 24, "w": 32, "u": 33, "q": 48, "h": 52}, "is_reverse": false}}
| 220
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = w + 1; v = c + 19; w = e + 8; d = s + 4; q = u + 15; e = v + 4; t = i + 17; c = 1; l = c + 16; z = t + 7; i = l + 3; h = q + 4; s = z + 19. If c = 1, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = c + 19, which gives v = 20.\n2. Compute e using e = v + 4, which gives e = 24.\n3. Compute w using w = e + 8, which gives w = 32.\n4. Compute u using u = w + 1, which gives u = 33.\n5. Compute q using q = u + 15, which gives q = 48.\n6. Compute h using h = q + 4, which gives h = 52.\n\nThus, the final answer is h = \\boxed{52}.",
"index": 220,
"question": "Consider a system of variables where each variable is defined as follows: u = w + 1; v = c + 19; w = e + 8; d = s + 4; q = u + 15; e = v + 4; t = i + 17; c = 1; l = c + 16; z = t + 7; i = l + 3; h = q + 4; s = z + 19. If c = 1, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"b": "z + 11", "l": "b + 8", "v": "l + 16", "a": "v + 15", "n": "a + 17", "d": "n + 19", "f": "z + 16", "t": "f + 6", "m": "t + 9", "x": "m + 8", "e": "x + 19", "q": "e + 8", "z": 16}, "premises": {"z": 16}, "target": "d"}, "answer": {"steps": [["n", "a + 17", "a + 36"], ["a", "v + 15", "v + 51"], ["v", "l + 16", "l + 67"], ["l", "b + 8", "b + 75"], ["b", "z + 11", "z + 86"], ["z", 16, "102"]], "target_var_name": "d", "target_value": 102, "value_dict": {"z": 16}, "is_reverse": true}}
| 221
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = z + 11; n = a + 17; d = n + 19; a = v + 15; q = e + 8; e = x + 19; x = m + 8; l = b + 8; z = 16; t = f + 6; f = z + 16; v = l + 16; m = t + 9. Given that z = 16, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 17 to d, which gives d = a + 36.\n2. Substitute a = v + 15 to d, which gives d = v + 51.\n3. Substitute v = l + 16 to d, which gives d = l + 67.\n4. Substitute l = b + 8 to d, which gives d = b + 75.\n5. Substitute b = z + 11 to d, which gives d = z + 86.\n6. Substitute z = 16 to d, which gives d = 102.\n\nThus, the final answer is d = \\boxed{102}.",
"index": 221,
"question": "Suppose a collection of variables is related by the following definitions: b = z + 11; n = a + 17; d = n + 19; a = v + 15; q = e + 8; e = x + 19; x = m + 8; l = b + 8; z = 16; t = f + 6; f = z + 16; v = l + 16; m = t + 9. Given that z = 16, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"h": "x + 3", "c": "h + 17", "b": "c + 13", "r": "b + 15", "m": "r + 14", "y": "m + 14", "w": "x + 11", "l": "w + 6", "t": "l + 3", "e": "t + 18", "i": "e + 7", "g": "i + 2", "x": 7}, "premises": {"x": 7}, "target": "y"}, "answer": {"steps": [["m", "r + 14", "r + 28"], ["r", "b + 15", "b + 43"], ["b", "c + 13", "c + 56"], ["c", "h + 17", "h + 73"], ["h", "x + 3", "x + 76"], ["x", 7, "83"]], "target_var_name": "y", "target_value": 83, "value_dict": {"x": 7}, "is_reverse": true}}
| 222
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = h + 17; b = c + 13; w = x + 11; r = b + 15; m = r + 14; x = 7; e = t + 18; t = l + 3; l = w + 6; i = e + 7; y = m + 14; g = i + 2; h = x + 3. If x = 7, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 14 to y, which gives y = r + 28.\n2. Substitute r = b + 15 to y, which gives y = b + 43.\n3. Substitute b = c + 13 to y, which gives y = c + 56.\n4. Substitute c = h + 17 to y, which gives y = h + 73.\n5. Substitute h = x + 3 to y, which gives y = x + 76.\n6. Substitute x = 7 to y, which gives y = 83.\n\nThus, the final answer is y = \\boxed{83}.",
"index": 222,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = h + 17; b = c + 13; w = x + 11; r = b + 15; m = r + 14; x = 7; e = t + 18; t = l + 3; l = w + 6; i = e + 7; y = m + 14; g = i + 2; h = x + 3. If x = 7, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"g": "j + 18", "i": "g + 8", "p": "i + 10", "r": "p + 4", "l": "r + 14", "t": "l + 8", "y": "j + 18", "d": "y + 13", "q": "d + 11", "v": "q + 13", "x": "v + 18", "k": "x + 7", "j": 11}, "premises": {"j": 11}, "target": "t"}, "answer": {"steps": [["l", "r + 14", "r + 22"], ["r", "p + 4", "p + 26"], ["p", "i + 10", "i + 36"], ["i", "g + 8", "g + 44"], ["g", "j + 18", "j + 62"], ["j", 11, "73"]], "target_var_name": "t", "target_value": 73, "value_dict": {"j": 11}, "is_reverse": true}}
| 223
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = 11; x = v + 18; y = j + 18; d = y + 13; g = j + 18; t = l + 8; l = r + 14; q = d + 11; r = p + 4; p = i + 10; v = q + 13; k = x + 7; i = g + 8. If j = 11, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 14 to t, which gives t = r + 22.\n2. Substitute r = p + 4 to t, which gives t = p + 26.\n3. Substitute p = i + 10 to t, which gives t = i + 36.\n4. Substitute i = g + 8 to t, which gives t = g + 44.\n5. Substitute g = j + 18 to t, which gives t = j + 62.\n6. Substitute j = 11 to t, which gives t = 73.\n\nThus, the final answer is t = \\boxed{73}.",
"index": 223,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 11; x = v + 18; y = j + 18; d = y + 13; g = j + 18; t = l + 8; l = r + 14; q = d + 11; r = p + 4; p = i + 10; v = q + 13; k = x + 7; i = g + 8. If j = 11, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"u": "p + 4", "y": "u + 12", "q": "y + 8", "k": "q + 12", "x": "k + 8", "o": "x + 15", "a": "p + 13", "h": "a + 3", "t": "h + 3", "m": "t + 6", "g": "m + 8", "f": "g + 6", "p": 1}, "premises": {"p": 1}, "target": "o"}, "answer": {"steps": [["x", "k + 8", "k + 23"], ["k", "q + 12", "q + 35"], ["q", "y + 8", "y + 43"], ["y", "u + 12", "u + 55"], ["u", "p + 4", "p + 59"], ["p", 1, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"p": 1}, "is_reverse": true}}
| 224
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = k + 8; t = h + 3; p = 1; a = p + 13; u = p + 4; q = y + 8; m = t + 6; o = x + 15; k = q + 12; f = g + 6; h = a + 3; g = m + 8; y = u + 12. If p = 1, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 8 to o, which gives o = k + 23.\n2. Substitute k = q + 12 to o, which gives o = q + 35.\n3. Substitute q = y + 8 to o, which gives o = y + 43.\n4. Substitute y = u + 12 to o, which gives o = u + 55.\n5. Substitute u = p + 4 to o, which gives o = p + 59.\n6. Substitute p = 1 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 224,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = k + 8; t = h + 3; p = 1; a = p + 13; u = p + 4; q = y + 8; m = t + 6; o = x + 15; k = q + 12; f = g + 6; h = a + 3; g = m + 8; y = u + 12. If p = 1, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 9", "u": "t + 8", "d": "u + 4", "g": "d + 8", "i": "g + 8", "q": "i + 2", "b": "n + 17", "o": "b + 3", "p": "o + 15", "v": "p + 19", "r": "v + 13", "k": "r + 2", "n": 4}, "premises": {"n": 4}, "target": "q"}, "answer": {"steps": [["t", "n + 9", 13], ["u", "t + 8", 21], ["d", "u + 4", 25], ["g", "d + 8", 33], ["i", "g + 8", 41], ["q", "i + 2", 43]], "target_var_name": "q", "target_value": 43, "value_dict": {"n": 4, "t": 13, "u": 21, "d": 25, "g": 33, "i": 41, "q": 43}, "is_reverse": false}}
| 225
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = n + 9; k = r + 2; q = i + 2; u = t + 8; o = b + 3; r = v + 13; d = u + 4; i = g + 8; b = n + 17; g = d + 8; v = p + 19; p = o + 15; n = 4. If n = 4, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = n + 9, which gives t = 13.\n2. Compute u using u = t + 8, which gives u = 21.\n3. Compute d using d = u + 4, which gives d = 25.\n4. Compute g using g = d + 8, which gives g = 33.\n5. Compute i using i = g + 8, which gives i = 41.\n6. Compute q using q = i + 2, which gives q = 43.\n\nThus, the final answer is q = \\boxed{43}.",
"index": 225,
"question": "Consider a system of variables where each variable is defined as follows: t = n + 9; k = r + 2; q = i + 2; u = t + 8; o = b + 3; r = v + 13; d = u + 4; i = g + 8; b = n + 17; g = d + 8; v = p + 19; p = o + 15; n = 4. If n = 4, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"e": "v + 7", "y": "e + 3", "h": "y + 14", "l": "h + 8", "i": "l + 1", "d": "i + 17", "m": "v + 3", "b": "m + 6", "o": "b + 4", "c": "o + 13", "j": "c + 8", "q": "j + 3", "v": 2}, "premises": {"v": 2}, "target": "d"}, "answer": {"steps": [["e", "v + 7", 9], ["y", "e + 3", 12], ["h", "y + 14", 26], ["l", "h + 8", 34], ["i", "l + 1", 35], ["d", "i + 17", 52]], "target_var_name": "d", "target_value": 52, "value_dict": {"v": 2, "e": 9, "y": 12, "h": 26, "l": 34, "i": 35, "d": 52}, "is_reverse": false}}
| 226
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 3; c = o + 13; b = m + 6; v = 2; i = l + 1; l = h + 8; j = c + 8; y = e + 3; q = j + 3; e = v + 7; d = i + 17; o = b + 4; h = y + 14. If v = 2, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = v + 7, which gives e = 9.\n2. Compute y using y = e + 3, which gives y = 12.\n3. Compute h using h = y + 14, which gives h = 26.\n4. Compute l using l = h + 8, which gives l = 34.\n5. Compute i using i = l + 1, which gives i = 35.\n6. Compute d using d = i + 17, which gives d = 52.\n\nThus, the final answer is d = \\boxed{52}.",
"index": 226,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 3; c = o + 13; b = m + 6; v = 2; i = l + 1; l = h + 8; j = c + 8; y = e + 3; q = j + 3; e = v + 7; d = i + 17; o = b + 4; h = y + 14. If v = 2, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"a": "o + 10", "m": "a + 13", "n": "m + 20", "e": "n + 16", "x": "e + 6", "b": "x + 14", "w": "o + 3", "r": "w + 18", "f": "r + 18", "y": "f + 3", "s": "y + 13", "l": "s + 1", "o": 7}, "premises": {"o": 7}, "target": "b"}, "answer": {"steps": [["x", "e + 6", "e + 20"], ["e", "n + 16", "n + 36"], ["n", "m + 20", "m + 56"], ["m", "a + 13", "a + 69"], ["a", "o + 10", "o + 79"], ["o", 7, "86"]], "target_var_name": "b", "target_value": 86, "value_dict": {"o": 7}, "is_reverse": true}}
| 227
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = 7; a = o + 10; y = f + 3; n = m + 20; m = a + 13; e = n + 16; w = o + 3; f = r + 18; s = y + 13; x = e + 6; r = w + 18; b = x + 14; l = s + 1. If o = 7, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 6 to b, which gives b = e + 20.\n2. Substitute e = n + 16 to b, which gives b = n + 36.\n3. Substitute n = m + 20 to b, which gives b = m + 56.\n4. Substitute m = a + 13 to b, which gives b = a + 69.\n5. Substitute a = o + 10 to b, which gives b = o + 79.\n6. Substitute o = 7 to b, which gives b = 86.\n\nThus, the final answer is b = \\boxed{86}.",
"index": 227,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 7; a = o + 10; y = f + 3; n = m + 20; m = a + 13; e = n + 16; w = o + 3; f = r + 18; s = y + 13; x = e + 6; r = w + 18; b = x + 14; l = s + 1. If o = 7, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"g": "p + 7", "c": "g + 16", "f": "c + 10", "q": "f + 18", "n": "q + 12", "i": "n + 18", "m": "p + 17", "j": "m + 8", "r": "j + 14", "v": "r + 5", "l": "v + 12", "o": "l + 16", "p": 10}, "premises": {"p": 10}, "target": "i"}, "answer": {"steps": [["n", "q + 12", "q + 30"], ["q", "f + 18", "f + 48"], ["f", "c + 10", "c + 58"], ["c", "g + 16", "g + 74"], ["g", "p + 7", "p + 81"], ["p", 10, "91"]], "target_var_name": "i", "target_value": 91, "value_dict": {"p": 10}, "is_reverse": true}}
| 228
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = q + 12; l = v + 12; r = j + 14; c = g + 16; o = l + 16; p = 10; m = p + 17; j = m + 8; i = n + 18; q = f + 18; v = r + 5; f = c + 10; g = p + 7. If p = 10, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 12 to i, which gives i = q + 30.\n2. Substitute q = f + 18 to i, which gives i = f + 48.\n3. Substitute f = c + 10 to i, which gives i = c + 58.\n4. Substitute c = g + 16 to i, which gives i = g + 74.\n5. Substitute g = p + 7 to i, which gives i = p + 81.\n6. Substitute p = 10 to i, which gives i = 91.\n\nThus, the final answer is i = \\boxed{91}.",
"index": 228,
"question": "Consider a system of variables where each variable is defined as follows: n = q + 12; l = v + 12; r = j + 14; c = g + 16; o = l + 16; p = 10; m = p + 17; j = m + 8; i = n + 18; q = f + 18; v = r + 5; f = c + 10; g = p + 7. If p = 10, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"k": "z + 15", "f": "k + 20", "i": "f + 11", "u": "i + 20", "v": "u + 7", "d": "v + 2", "a": "z + 11", "p": "a + 11", "x": "p + 13", "r": "x + 9", "l": "r + 17", "m": "l + 3", "z": 3}, "premises": {"z": 3}, "target": "d"}, "answer": {"steps": [["v", "u + 7", "u + 9"], ["u", "i + 20", "i + 29"], ["i", "f + 11", "f + 40"], ["f", "k + 20", "k + 60"], ["k", "z + 15", "z + 75"], ["z", 3, "78"]], "target_var_name": "d", "target_value": 78, "value_dict": {"z": 3}, "is_reverse": true}}
| 229
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = 3; l = r + 17; v = u + 7; m = l + 3; d = v + 2; x = p + 13; u = i + 20; a = z + 11; f = k + 20; r = x + 9; p = a + 11; k = z + 15; i = f + 11. Given that z = 3, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 7 to d, which gives d = u + 9.\n2. Substitute u = i + 20 to d, which gives d = i + 29.\n3. Substitute i = f + 11 to d, which gives d = f + 40.\n4. Substitute f = k + 20 to d, which gives d = k + 60.\n5. Substitute k = z + 15 to d, which gives d = z + 75.\n6. Substitute z = 3 to d, which gives d = 78.\n\nThus, the final answer is d = \\boxed{78}.",
"index": 229,
"question": "Suppose a collection of variables is related by the following definitions: z = 3; l = r + 17; v = u + 7; m = l + 3; d = v + 2; x = p + 13; u = i + 20; a = z + 11; f = k + 20; r = x + 9; p = a + 11; k = z + 15; i = f + 11. Given that z = 3, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"b": "m + 10", "p": "b + 12", "f": "p + 14", "j": "f + 12", "y": "j + 1", "c": "y + 17", "h": "m + 13", "a": "h + 1", "s": "a + 17", "i": "s + 6", "d": "i + 7", "n": "d + 19", "m": 1}, "premises": {"m": 1}, "target": "c"}, "answer": {"steps": [["b", "m + 10", 11], ["p", "b + 12", 23], ["f", "p + 14", 37], ["j", "f + 12", 49], ["y", "j + 1", 50], ["c", "y + 17", 67]], "target_var_name": "c", "target_value": 67, "value_dict": {"m": 1, "b": 11, "p": 23, "f": 37, "j": 49, "y": 50, "c": 67}, "is_reverse": false}}
| 230
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = 1; f = p + 14; i = s + 6; c = y + 17; n = d + 19; s = a + 17; j = f + 12; p = b + 12; h = m + 13; d = i + 7; y = j + 1; a = h + 1; b = m + 10. If m = 1, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = m + 10, which gives b = 11.\n2. Compute p using p = b + 12, which gives p = 23.\n3. Compute f using f = p + 14, which gives f = 37.\n4. Compute j using j = f + 12, which gives j = 49.\n5. Compute y using y = j + 1, which gives y = 50.\n6. Compute c using c = y + 17, which gives c = 67.\n\nThus, the final answer is c = \\boxed{67}.",
"index": 230,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = 1; f = p + 14; i = s + 6; c = y + 17; n = d + 19; s = a + 17; j = f + 12; p = b + 12; h = m + 13; d = i + 7; y = j + 1; a = h + 1; b = m + 10. If m = 1, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"k": "j + 9", "t": "k + 9", "m": "t + 15", "x": "m + 12", "q": "x + 2", "w": "q + 15", "u": "j + 5", "n": "u + 2", "l": "n + 10", "v": "l + 1", "b": "v + 16", "g": "b + 2", "j": 12}, "premises": {"j": 12}, "target": "w"}, "answer": {"steps": [["k", "j + 9", 21], ["t", "k + 9", 30], ["m", "t + 15", 45], ["x", "m + 12", 57], ["q", "x + 2", 59], ["w", "q + 15", 74]], "target_var_name": "w", "target_value": 74, "value_dict": {"j": 12, "k": 21, "t": 30, "m": 45, "x": 57, "q": 59, "w": 74}, "is_reverse": false}}
| 231
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = m + 12; m = t + 15; w = q + 15; n = u + 2; u = j + 5; j = 12; k = j + 9; t = k + 9; g = b + 2; v = l + 1; q = x + 2; b = v + 16; l = n + 10. If j = 12, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = j + 9, which gives k = 21.\n2. Compute t using t = k + 9, which gives t = 30.\n3. Compute m using m = t + 15, which gives m = 45.\n4. Compute x using x = m + 12, which gives x = 57.\n5. Compute q using q = x + 2, which gives q = 59.\n6. Compute w using w = q + 15, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 231,
"question": "Consider a system of variables where each variable is defined as follows: x = m + 12; m = t + 15; w = q + 15; n = u + 2; u = j + 5; j = 12; k = j + 9; t = k + 9; g = b + 2; v = l + 1; q = x + 2; b = v + 16; l = n + 10. If j = 12, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"c": "h + 16", "s": "c + 10", "j": "s + 9", "k": "j + 1", "f": "k + 4", "m": "f + 16", "r": "h + 14", "u": "r + 9", "t": "u + 18", "n": "t + 12", "b": "n + 5", "a": "b + 9", "h": 4}, "premises": {"h": 4}, "target": "m"}, "answer": {"steps": [["f", "k + 4", "k + 20"], ["k", "j + 1", "j + 21"], ["j", "s + 9", "s + 30"], ["s", "c + 10", "c + 40"], ["c", "h + 16", "h + 56"], ["h", 4, "60"]], "target_var_name": "m", "target_value": 60, "value_dict": {"h": 4}, "is_reverse": true}}
| 232
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = t + 12; j = s + 9; b = n + 5; a = b + 9; h = 4; r = h + 14; m = f + 16; f = k + 4; k = j + 1; u = r + 9; s = c + 10; t = u + 18; c = h + 16. If h = 4, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 4 to m, which gives m = k + 20.\n2. Substitute k = j + 1 to m, which gives m = j + 21.\n3. Substitute j = s + 9 to m, which gives m = s + 30.\n4. Substitute s = c + 10 to m, which gives m = c + 40.\n5. Substitute c = h + 16 to m, which gives m = h + 56.\n6. Substitute h = 4 to m, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 232,
"question": "Consider a system of variables where each variable is defined as follows: n = t + 12; j = s + 9; b = n + 5; a = b + 9; h = 4; r = h + 14; m = f + 16; f = k + 4; k = j + 1; u = r + 9; s = c + 10; t = u + 18; c = h + 16. If h = 4, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"a": "f + 4", "j": "a + 4", "g": "j + 1", "i": "g + 19", "w": "i + 20", "l": "w + 2", "c": "f + 15", "x": "c + 14", "z": "x + 17", "u": "z + 15", "o": "u + 15", "n": "o + 1", "f": 8}, "premises": {"f": 8}, "target": "l"}, "answer": {"steps": [["w", "i + 20", "i + 22"], ["i", "g + 19", "g + 41"], ["g", "j + 1", "j + 42"], ["j", "a + 4", "a + 46"], ["a", "f + 4", "f + 50"], ["f", 8, "58"]], "target_var_name": "l", "target_value": 58, "value_dict": {"f": 8}, "is_reverse": true}}
| 233
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = x + 17; w = i + 20; j = a + 4; c = f + 15; f = 8; i = g + 19; u = z + 15; x = c + 14; g = j + 1; a = f + 4; n = o + 1; o = u + 15; l = w + 2. Given that f = 8, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 20 to l, which gives l = i + 22.\n2. Substitute i = g + 19 to l, which gives l = g + 41.\n3. Substitute g = j + 1 to l, which gives l = j + 42.\n4. Substitute j = a + 4 to l, which gives l = a + 46.\n5. Substitute a = f + 4 to l, which gives l = f + 50.\n6. Substitute f = 8 to l, which gives l = 58.\n\nThus, the final answer is l = \\boxed{58}.",
"index": 233,
"question": "Suppose a collection of variables is related by the following definitions: z = x + 17; w = i + 20; j = a + 4; c = f + 15; f = 8; i = g + 19; u = z + 15; x = c + 14; g = j + 1; a = f + 4; n = o + 1; o = u + 15; l = w + 2. Given that f = 8, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"p": "t + 17", "e": "p + 18", "j": "e + 11", "u": "j + 10", "a": "u + 12", "v": "a + 12", "l": "t + 14", "n": "l + 17", "y": "n + 19", "z": "y + 6", "w": "z + 16", "s": "w + 6", "t": 7}, "premises": {"t": 7}, "target": "v"}, "answer": {"steps": [["p", "t + 17", 24], ["e", "p + 18", 42], ["j", "e + 11", 53], ["u", "j + 10", 63], ["a", "u + 12", 75], ["v", "a + 12", 87]], "target_var_name": "v", "target_value": 87, "value_dict": {"t": 7, "p": 24, "e": 42, "j": 53, "u": 63, "a": 75, "v": 87}, "is_reverse": false}}
| 234
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = j + 10; t = 7; e = p + 18; p = t + 17; s = w + 6; z = y + 6; w = z + 16; v = a + 12; j = e + 11; a = u + 12; l = t + 14; n = l + 17; y = n + 19. Given that t = 7, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = t + 17, which gives p = 24.\n2. Compute e using e = p + 18, which gives e = 42.\n3. Compute j using j = e + 11, which gives j = 53.\n4. Compute u using u = j + 10, which gives u = 63.\n5. Compute a using a = u + 12, which gives a = 75.\n6. Compute v using v = a + 12, which gives v = 87.\n\nThus, the final answer is v = \\boxed{87}.",
"index": 234,
"question": "Suppose a collection of variables is related by the following definitions: u = j + 10; t = 7; e = p + 18; p = t + 17; s = w + 6; z = y + 6; w = z + 16; v = a + 12; j = e + 11; a = u + 12; l = t + 14; n = l + 17; y = n + 19. Given that t = 7, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"n": "a + 5", "i": "n + 19", "t": "i + 4", "e": "t + 20", "j": "e + 10", "s": "j + 20", "w": "a + 12", "r": "w + 15", "m": "r + 16", "l": "m + 2", "k": "l + 4", "x": "k + 18", "a": 20}, "premises": {"a": 20}, "target": "s"}, "answer": {"steps": [["n", "a + 5", 25], ["i", "n + 19", 44], ["t", "i + 4", 48], ["e", "t + 20", 68], ["j", "e + 10", 78], ["s", "j + 20", 98]], "target_var_name": "s", "target_value": 98, "value_dict": {"a": 20, "n": 25, "i": 44, "t": 48, "e": 68, "j": 78, "s": 98}, "is_reverse": false}}
| 235
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = w + 15; w = a + 12; j = e + 10; x = k + 18; m = r + 16; e = t + 20; a = 20; t = i + 4; l = m + 2; s = j + 20; n = a + 5; k = l + 4; i = n + 19. If a = 20, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = a + 5, which gives n = 25.\n2. Compute i using i = n + 19, which gives i = 44.\n3. Compute t using t = i + 4, which gives t = 48.\n4. Compute e using e = t + 20, which gives e = 68.\n5. Compute j using j = e + 10, which gives j = 78.\n6. Compute s using s = j + 20, which gives s = 98.\n\nThus, the final answer is s = \\boxed{98}.",
"index": 235,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = w + 15; w = a + 12; j = e + 10; x = k + 18; m = r + 16; e = t + 20; a = 20; t = i + 4; l = m + 2; s = j + 20; n = a + 5; k = l + 4; i = n + 19. If a = 20, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"f": "z + 2", "y": "f + 4", "j": "y + 12", "h": "j + 14", "s": "h + 9", "v": "s + 9", "d": "z + 4", "b": "d + 3", "u": "b + 9", "x": "u + 5", "c": "x + 18", "t": "c + 4", "z": 6}, "premises": {"z": 6}, "target": "v"}, "answer": {"steps": [["s", "h + 9", "h + 18"], ["h", "j + 14", "j + 32"], ["j", "y + 12", "y + 44"], ["y", "f + 4", "f + 48"], ["f", "z + 2", "z + 50"], ["z", 6, "56"]], "target_var_name": "v", "target_value": 56, "value_dict": {"z": 6}, "is_reverse": true}}
| 236
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = j + 14; f = z + 2; y = f + 4; b = d + 3; x = u + 5; v = s + 9; s = h + 9; z = 6; u = b + 9; d = z + 4; j = y + 12; c = x + 18; t = c + 4. If z = 6, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 9 to v, which gives v = h + 18.\n2. Substitute h = j + 14 to v, which gives v = j + 32.\n3. Substitute j = y + 12 to v, which gives v = y + 44.\n4. Substitute y = f + 4 to v, which gives v = f + 48.\n5. Substitute f = z + 2 to v, which gives v = z + 50.\n6. Substitute z = 6 to v, which gives v = 56.\n\nThus, the final answer is v = \\boxed{56}.",
"index": 236,
"question": "Consider a system of variables where each variable is defined as follows: h = j + 14; f = z + 2; y = f + 4; b = d + 3; x = u + 5; v = s + 9; s = h + 9; z = 6; u = b + 9; d = z + 4; j = y + 12; c = x + 18; t = c + 4. If z = 6, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"k": "h + 17", "u": "k + 5", "x": "u + 6", "y": "x + 3", "r": "y + 13", "j": "r + 15", "q": "h + 9", "b": "q + 12", "e": "b + 1", "f": "e + 10", "g": "f + 19", "i": "g + 2", "h": 8}, "premises": {"h": 8}, "target": "j"}, "answer": {"steps": [["k", "h + 17", 25], ["u", "k + 5", 30], ["x", "u + 6", 36], ["y", "x + 3", 39], ["r", "y + 13", 52], ["j", "r + 15", 67]], "target_var_name": "j", "target_value": 67, "value_dict": {"h": 8, "k": 25, "u": 30, "x": 36, "y": 39, "r": 52, "j": 67}, "is_reverse": false}}
| 237
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 10; h = 8; i = g + 2; y = x + 3; g = f + 19; r = y + 13; q = h + 9; e = b + 1; b = q + 12; j = r + 15; u = k + 5; x = u + 6; k = h + 17. If h = 8, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = h + 17, which gives k = 25.\n2. Compute u using u = k + 5, which gives u = 30.\n3. Compute x using x = u + 6, which gives x = 36.\n4. Compute y using y = x + 3, which gives y = 39.\n5. Compute r using r = y + 13, which gives r = 52.\n6. Compute j using j = r + 15, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 237,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 10; h = 8; i = g + 2; y = x + 3; g = f + 19; r = y + 13; q = h + 9; e = b + 1; b = q + 12; j = r + 15; u = k + 5; x = u + 6; k = h + 17. If h = 8, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"t": "e + 12", "w": "t + 11", "n": "w + 6", "d": "n + 14", "f": "d + 16", "x": "f + 15", "p": "e + 10", "z": "p + 6", "i": "z + 19", "m": "i + 17", "k": "m + 12", "o": "k + 12", "e": 10}, "premises": {"e": 10}, "target": "x"}, "answer": {"steps": [["f", "d + 16", "d + 31"], ["d", "n + 14", "n + 45"], ["n", "w + 6", "w + 51"], ["w", "t + 11", "t + 62"], ["t", "e + 12", "e + 74"], ["e", 10, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"e": 10}, "is_reverse": true}}
| 238
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = k + 12; w = t + 11; x = f + 15; p = e + 10; d = n + 14; m = i + 17; t = e + 12; z = p + 6; k = m + 12; i = z + 19; e = 10; n = w + 6; f = d + 16. If e = 10, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 16 to x, which gives x = d + 31.\n2. Substitute d = n + 14 to x, which gives x = n + 45.\n3. Substitute n = w + 6 to x, which gives x = w + 51.\n4. Substitute w = t + 11 to x, which gives x = t + 62.\n5. Substitute t = e + 12 to x, which gives x = e + 74.\n6. Substitute e = 10 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 238,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = k + 12; w = t + 11; x = f + 15; p = e + 10; d = n + 14; m = i + 17; t = e + 12; z = p + 6; k = m + 12; i = z + 19; e = 10; n = w + 6; f = d + 16. If e = 10, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"x": "z + 10", "j": "x + 20", "s": "j + 4", "m": "s + 4", "l": "m + 6", "y": "l + 17", "c": "z + 4", "a": "c + 16", "u": "a + 20", "n": "u + 4", "b": "n + 5", "o": "b + 5", "z": 8}, "premises": {"z": 8}, "target": "y"}, "answer": {"steps": [["x", "z + 10", 18], ["j", "x + 20", 38], ["s", "j + 4", 42], ["m", "s + 4", 46], ["l", "m + 6", 52], ["y", "l + 17", 69]], "target_var_name": "y", "target_value": 69, "value_dict": {"z": 8, "x": 18, "j": 38, "s": 42, "m": 46, "l": 52, "y": 69}, "is_reverse": false}}
| 239
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 20; c = z + 4; z = 8; n = u + 4; l = m + 6; y = l + 17; b = n + 5; a = c + 16; m = s + 4; x = z + 10; j = x + 20; s = j + 4; o = b + 5. If z = 8, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = z + 10, which gives x = 18.\n2. Compute j using j = x + 20, which gives j = 38.\n3. Compute s using s = j + 4, which gives s = 42.\n4. Compute m using m = s + 4, which gives m = 46.\n5. Compute l using l = m + 6, which gives l = 52.\n6. Compute y using y = l + 17, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 239,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 20; c = z + 4; z = 8; n = u + 4; l = m + 6; y = l + 17; b = n + 5; a = c + 16; m = s + 4; x = z + 10; j = x + 20; s = j + 4; o = b + 5. If z = 8, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"d": "x + 4", "g": "d + 15", "e": "g + 1", "v": "e + 5", "y": "v + 16", "u": "y + 7", "n": "x + 9", "o": "n + 7", "j": "o + 17", "q": "j + 20", "r": "q + 7", "a": "r + 3", "x": 17}, "premises": {"x": 17}, "target": "u"}, "answer": {"steps": [["y", "v + 16", "v + 23"], ["v", "e + 5", "e + 28"], ["e", "g + 1", "g + 29"], ["g", "d + 15", "d + 44"], ["d", "x + 4", "x + 48"], ["x", 17, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"x": 17}, "is_reverse": true}}
| 240
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 3; q = j + 20; v = e + 5; j = o + 17; r = q + 7; o = n + 7; g = d + 15; x = 17; u = y + 7; e = g + 1; y = v + 16; d = x + 4; n = x + 9. If x = 17, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 16 to u, which gives u = v + 23.\n2. Substitute v = e + 5 to u, which gives u = e + 28.\n3. Substitute e = g + 1 to u, which gives u = g + 29.\n4. Substitute g = d + 15 to u, which gives u = d + 44.\n5. Substitute d = x + 4 to u, which gives u = x + 48.\n6. Substitute x = 17 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 240,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 3; q = j + 20; v = e + 5; j = o + 17; r = q + 7; o = n + 7; g = d + 15; x = 17; u = y + 7; e = g + 1; y = v + 16; d = x + 4; n = x + 9. If x = 17, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"z": "h + 16", "r": "z + 10", "d": "r + 20", "i": "d + 20", "t": "i + 10", "a": "t + 2", "q": "h + 18", "p": "q + 5", "w": "p + 18", "x": "w + 10", "n": "x + 16", "y": "n + 7", "h": 20}, "premises": {"h": 20}, "target": "a"}, "answer": {"steps": [["z", "h + 16", 36], ["r", "z + 10", 46], ["d", "r + 20", 66], ["i", "d + 20", 86], ["t", "i + 10", 96], ["a", "t + 2", 98]], "target_var_name": "a", "target_value": 98, "value_dict": {"h": 20, "z": 36, "r": 46, "d": 66, "i": 86, "t": 96, "a": 98}, "is_reverse": false}}
| 241
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = 20; q = h + 18; t = i + 10; z = h + 16; i = d + 20; w = p + 18; d = r + 20; p = q + 5; n = x + 16; a = t + 2; r = z + 10; y = n + 7; x = w + 10. If h = 20, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = h + 16, which gives z = 36.\n2. Compute r using r = z + 10, which gives r = 46.\n3. Compute d using d = r + 20, which gives d = 66.\n4. Compute i using i = d + 20, which gives i = 86.\n5. Compute t using t = i + 10, which gives t = 96.\n6. Compute a using a = t + 2, which gives a = 98.\n\nThus, the final answer is a = \\boxed{98}.",
"index": 241,
"question": "Consider a system of variables where each variable is defined as follows: h = 20; q = h + 18; t = i + 10; z = h + 16; i = d + 20; w = p + 18; d = r + 20; p = q + 5; n = x + 16; a = t + 2; r = z + 10; y = n + 7; x = w + 10. If h = 20, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"e": "m + 20", "n": "e + 14", "u": "n + 13", "w": "u + 17", "p": "w + 18", "y": "p + 20", "j": "m + 8", "b": "j + 4", "c": "b + 15", "v": "c + 7", "q": "v + 16", "x": "q + 5", "m": 2}, "premises": {"m": 2}, "target": "y"}, "answer": {"steps": [["p", "w + 18", "w + 38"], ["w", "u + 17", "u + 55"], ["u", "n + 13", "n + 68"], ["n", "e + 14", "e + 82"], ["e", "m + 20", "m + 102"], ["m", 2, "104"]], "target_var_name": "y", "target_value": 104, "value_dict": {"m": 2}, "is_reverse": true}}
| 242
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = u + 17; c = b + 15; n = e + 14; p = w + 18; b = j + 4; u = n + 13; m = 2; v = c + 7; q = v + 16; j = m + 8; y = p + 20; e = m + 20; x = q + 5. If m = 2, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 18 to y, which gives y = w + 38.\n2. Substitute w = u + 17 to y, which gives y = u + 55.\n3. Substitute u = n + 13 to y, which gives y = n + 68.\n4. Substitute n = e + 14 to y, which gives y = e + 82.\n5. Substitute e = m + 20 to y, which gives y = m + 102.\n6. Substitute m = 2 to y, which gives y = 104.\n\nThus, the final answer is y = \\boxed{104}.",
"index": 242,
"question": "Consider a system of variables where each variable is defined as follows: w = u + 17; c = b + 15; n = e + 14; p = w + 18; b = j + 4; u = n + 13; m = 2; v = c + 7; q = v + 16; j = m + 8; y = p + 20; e = m + 20; x = q + 5. If m = 2, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"b": "q + 2", "d": "b + 17", "o": "d + 12", "h": "o + 13", "f": "h + 12", "l": "f + 1", "r": "q + 10", "z": "r + 19", "k": "z + 1", "u": "k + 12", "v": "u + 3", "c": "v + 2", "q": 4}, "premises": {"q": 4}, "target": "l"}, "answer": {"steps": [["f", "h + 12", "h + 13"], ["h", "o + 13", "o + 26"], ["o", "d + 12", "d + 38"], ["d", "b + 17", "b + 55"], ["b", "q + 2", "q + 57"], ["q", 4, "61"]], "target_var_name": "l", "target_value": 61, "value_dict": {"q": 4}, "is_reverse": true}}
| 243
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 17; u = k + 12; v = u + 3; z = r + 19; r = q + 10; h = o + 13; c = v + 2; l = f + 1; k = z + 1; f = h + 12; o = d + 12; b = q + 2; q = 4. If q = 4, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 12 to l, which gives l = h + 13.\n2. Substitute h = o + 13 to l, which gives l = o + 26.\n3. Substitute o = d + 12 to l, which gives l = d + 38.\n4. Substitute d = b + 17 to l, which gives l = b + 55.\n5. Substitute b = q + 2 to l, which gives l = q + 57.\n6. Substitute q = 4 to l, which gives l = 61.\n\nThus, the final answer is l = \\boxed{61}.",
"index": 243,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 17; u = k + 12; v = u + 3; z = r + 19; r = q + 10; h = o + 13; c = v + 2; l = f + 1; k = z + 1; f = h + 12; o = d + 12; b = q + 2; q = 4. If q = 4, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"v": "x + 14", "d": "v + 16", "w": "d + 3", "n": "w + 13", "u": "n + 12", "m": "u + 19", "l": "x + 4", "r": "l + 4", "s": "r + 18", "e": "s + 8", "t": "e + 19", "a": "t + 10", "x": 9}, "premises": {"x": 9}, "target": "m"}, "answer": {"steps": [["u", "n + 12", "n + 31"], ["n", "w + 13", "w + 44"], ["w", "d + 3", "d + 47"], ["d", "v + 16", "v + 63"], ["v", "x + 14", "x + 77"], ["x", 9, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"x": 9}, "is_reverse": true}}
| 244
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = l + 4; x = 9; u = n + 12; l = x + 4; n = w + 13; m = u + 19; v = x + 14; w = d + 3; e = s + 8; s = r + 18; t = e + 19; a = t + 10; d = v + 16. Given that x = 9, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 12 to m, which gives m = n + 31.\n2. Substitute n = w + 13 to m, which gives m = w + 44.\n3. Substitute w = d + 3 to m, which gives m = d + 47.\n4. Substitute d = v + 16 to m, which gives m = v + 63.\n5. Substitute v = x + 14 to m, which gives m = x + 77.\n6. Substitute x = 9 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 244,
"question": "Suppose a collection of variables is related by the following definitions: r = l + 4; x = 9; u = n + 12; l = x + 4; n = w + 13; m = u + 19; v = x + 14; w = d + 3; e = s + 8; s = r + 18; t = e + 19; a = t + 10; d = v + 16. Given that x = 9, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 8", "b": "c + 5", "w": "b + 15", "l": "w + 16", "n": "l + 16", "j": "n + 8", "x": "d + 5", "k": "x + 14", "i": "k + 10", "o": "i + 6", "e": "o + 18", "y": "e + 11", "d": 20}, "premises": {"d": 20}, "target": "j"}, "answer": {"steps": [["c", "d + 8", 28], ["b", "c + 5", 33], ["w", "b + 15", 48], ["l", "w + 16", 64], ["n", "l + 16", 80], ["j", "n + 8", 88]], "target_var_name": "j", "target_value": 88, "value_dict": {"d": 20, "c": 28, "b": 33, "w": 48, "l": 64, "n": 80, "j": 88}, "is_reverse": false}}
| 245
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = e + 11; b = c + 5; k = x + 14; j = n + 8; w = b + 15; o = i + 6; n = l + 16; c = d + 8; x = d + 5; e = o + 18; d = 20; i = k + 10; l = w + 16. Given that d = 20, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = d + 8, which gives c = 28.\n2. Compute b using b = c + 5, which gives b = 33.\n3. Compute w using w = b + 15, which gives w = 48.\n4. Compute l using l = w + 16, which gives l = 64.\n5. Compute n using n = l + 16, which gives n = 80.\n6. Compute j using j = n + 8, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 245,
"question": "Suppose a collection of variables is related by the following definitions: y = e + 11; b = c + 5; k = x + 14; j = n + 8; w = b + 15; o = i + 6; n = l + 16; c = d + 8; x = d + 5; e = o + 18; d = 20; i = k + 10; l = w + 16. Given that d = 20, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"p": "i + 18", "x": "p + 11", "s": "x + 14", "g": "s + 8", "e": "g + 8", "q": "e + 18", "m": "i + 10", "a": "m + 16", "r": "a + 15", "d": "r + 17", "y": "d + 12", "w": "y + 1", "i": 9}, "premises": {"i": 9}, "target": "q"}, "answer": {"steps": [["e", "g + 8", "g + 26"], ["g", "s + 8", "s + 34"], ["s", "x + 14", "x + 48"], ["x", "p + 11", "p + 59"], ["p", "i + 18", "i + 77"], ["i", 9, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"i": 9}, "is_reverse": true}}
| 246
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = a + 15; a = m + 16; g = s + 8; s = x + 14; w = y + 1; p = i + 18; q = e + 18; m = i + 10; x = p + 11; y = d + 12; i = 9; d = r + 17; e = g + 8. Given that i = 9, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 8 to q, which gives q = g + 26.\n2. Substitute g = s + 8 to q, which gives q = s + 34.\n3. Substitute s = x + 14 to q, which gives q = x + 48.\n4. Substitute x = p + 11 to q, which gives q = p + 59.\n5. Substitute p = i + 18 to q, which gives q = i + 77.\n6. Substitute i = 9 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 246,
"question": "Suppose a collection of variables is related by the following definitions: r = a + 15; a = m + 16; g = s + 8; s = x + 14; w = y + 1; p = i + 18; q = e + 18; m = i + 10; x = p + 11; y = d + 12; i = 9; d = r + 17; e = g + 8. Given that i = 9, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"a": "q + 8", "f": "a + 8", "n": "f + 11", "y": "n + 13", "u": "y + 19", "i": "u + 15", "p": "q + 16", "j": "p + 2", "x": "j + 4", "o": "x + 1", "w": "o + 1", "t": "w + 16", "q": 12}, "premises": {"q": 12}, "target": "i"}, "answer": {"steps": [["u", "y + 19", "y + 34"], ["y", "n + 13", "n + 47"], ["n", "f + 11", "f + 58"], ["f", "a + 8", "a + 66"], ["a", "q + 8", "q + 74"], ["q", 12, "86"]], "target_var_name": "i", "target_value": 86, "value_dict": {"q": 12}, "is_reverse": true}}
| 247
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 2; x = j + 4; f = a + 8; p = q + 16; t = w + 16; q = 12; n = f + 11; i = u + 15; u = y + 19; w = o + 1; o = x + 1; y = n + 13; a = q + 8. Given that q = 12, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 19 to i, which gives i = y + 34.\n2. Substitute y = n + 13 to i, which gives i = n + 47.\n3. Substitute n = f + 11 to i, which gives i = f + 58.\n4. Substitute f = a + 8 to i, which gives i = a + 66.\n5. Substitute a = q + 8 to i, which gives i = q + 74.\n6. Substitute q = 12 to i, which gives i = 86.\n\nThus, the final answer is i = \\boxed{86}.",
"index": 247,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 2; x = j + 4; f = a + 8; p = q + 16; t = w + 16; q = 12; n = f + 11; i = u + 15; u = y + 19; w = o + 1; o = x + 1; y = n + 13; a = q + 8. Given that q = 12, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 4", "v": "i + 8", "f": "v + 11", "b": "f + 14", "o": "b + 12", "d": "o + 3", "t": "g + 9", "z": "t + 12", "k": "z + 8", "e": "k + 19", "s": "e + 19", "a": "s + 5", "g": 15}, "premises": {"g": 15}, "target": "d"}, "answer": {"steps": [["o", "b + 12", "b + 15"], ["b", "f + 14", "f + 29"], ["f", "v + 11", "v + 40"], ["v", "i + 8", "i + 48"], ["i", "g + 4", "g + 52"], ["g", 15, "67"]], "target_var_name": "d", "target_value": 67, "value_dict": {"g": 15}, "is_reverse": true}}
| 248
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = o + 3; b = f + 14; v = i + 8; f = v + 11; i = g + 4; g = 15; t = g + 9; o = b + 12; s = e + 19; k = z + 8; a = s + 5; z = t + 12; e = k + 19. Given that g = 15, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 12 to d, which gives d = b + 15.\n2. Substitute b = f + 14 to d, which gives d = f + 29.\n3. Substitute f = v + 11 to d, which gives d = v + 40.\n4. Substitute v = i + 8 to d, which gives d = i + 48.\n5. Substitute i = g + 4 to d, which gives d = g + 52.\n6. Substitute g = 15 to d, which gives d = 67.\n\nThus, the final answer is d = \\boxed{67}.",
"index": 248,
"question": "Suppose a collection of variables is related by the following definitions: d = o + 3; b = f + 14; v = i + 8; f = v + 11; i = g + 4; g = 15; t = g + 9; o = b + 12; s = e + 19; k = z + 8; a = s + 5; z = t + 12; e = k + 19. Given that g = 15, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"s": "v + 10", "o": "s + 11", "q": "o + 13", "w": "q + 13", "a": "w + 20", "e": "a + 5", "x": "v + 17", "i": "x + 17", "b": "i + 20", "p": "b + 1", "n": "p + 18", "r": "n + 17", "v": 13}, "premises": {"v": 13}, "target": "e"}, "answer": {"steps": [["a", "w + 20", "w + 25"], ["w", "q + 13", "q + 38"], ["q", "o + 13", "o + 51"], ["o", "s + 11", "s + 62"], ["s", "v + 10", "v + 72"], ["v", 13, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"v": 13}, "is_reverse": true}}
| 249
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 13; r = n + 17; s = v + 10; p = b + 1; x = v + 17; b = i + 20; i = x + 17; q = o + 13; o = s + 11; n = p + 18; v = 13; a = w + 20; e = a + 5. If v = 13, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 20 to e, which gives e = w + 25.\n2. Substitute w = q + 13 to e, which gives e = q + 38.\n3. Substitute q = o + 13 to e, which gives e = o + 51.\n4. Substitute o = s + 11 to e, which gives e = s + 62.\n5. Substitute s = v + 10 to e, which gives e = v + 72.\n6. Substitute v = 13 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 249,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 13; r = n + 17; s = v + 10; p = b + 1; x = v + 17; b = i + 20; i = x + 17; q = o + 13; o = s + 11; n = p + 18; v = 13; a = w + 20; e = a + 5. If v = 13, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"o": "s + 2", "k": "o + 10", "r": "k + 12", "e": "r + 1", "p": "e + 13", "b": "p + 2", "d": "s + 3", "v": "d + 5", "i": "v + 12", "y": "i + 7", "q": "y + 2", "g": "q + 4", "s": 14}, "premises": {"s": 14}, "target": "b"}, "answer": {"steps": [["p", "e + 13", "e + 15"], ["e", "r + 1", "r + 16"], ["r", "k + 12", "k + 28"], ["k", "o + 10", "o + 38"], ["o", "s + 2", "s + 40"], ["s", 14, "54"]], "target_var_name": "b", "target_value": 54, "value_dict": {"s": 14}, "is_reverse": true}}
| 250
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = k + 12; p = e + 13; v = d + 5; e = r + 1; k = o + 10; g = q + 4; s = 14; d = s + 3; o = s + 2; y = i + 7; i = v + 12; q = y + 2; b = p + 2. Given that s = 14, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 13 to b, which gives b = e + 15.\n2. Substitute e = r + 1 to b, which gives b = r + 16.\n3. Substitute r = k + 12 to b, which gives b = k + 28.\n4. Substitute k = o + 10 to b, which gives b = o + 38.\n5. Substitute o = s + 2 to b, which gives b = s + 40.\n6. Substitute s = 14 to b, which gives b = 54.\n\nThus, the final answer is b = \\boxed{54}.",
"index": 250,
"question": "Suppose a collection of variables is related by the following definitions: r = k + 12; p = e + 13; v = d + 5; e = r + 1; k = o + 10; g = q + 4; s = 14; d = s + 3; o = s + 2; y = i + 7; i = v + 12; q = y + 2; b = p + 2. Given that s = 14, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"t": "h + 3", "g": "t + 7", "v": "g + 12", "s": "v + 15", "o": "s + 12", "d": "o + 8", "a": "h + 11", "c": "a + 5", "b": "c + 8", "n": "b + 6", "m": "n + 7", "f": "m + 13", "h": 12}, "premises": {"h": 12}, "target": "d"}, "answer": {"steps": [["t", "h + 3", 15], ["g", "t + 7", 22], ["v", "g + 12", 34], ["s", "v + 15", 49], ["o", "s + 12", 61], ["d", "o + 8", 69]], "target_var_name": "d", "target_value": 69, "value_dict": {"h": 12, "t": 15, "g": 22, "v": 34, "s": 49, "o": 61, "d": 69}, "is_reverse": false}}
| 251
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = o + 8; t = h + 3; o = s + 12; m = n + 7; g = t + 7; f = m + 13; b = c + 8; s = v + 15; a = h + 11; v = g + 12; n = b + 6; c = a + 5; h = 12. Given that h = 12, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = h + 3, which gives t = 15.\n2. Compute g using g = t + 7, which gives g = 22.\n3. Compute v using v = g + 12, which gives v = 34.\n4. Compute s using s = v + 15, which gives s = 49.\n5. Compute o using o = s + 12, which gives o = 61.\n6. Compute d using d = o + 8, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 251,
"question": "Suppose a collection of variables is related by the following definitions: d = o + 8; t = h + 3; o = s + 12; m = n + 7; g = t + 7; f = m + 13; b = c + 8; s = v + 15; a = h + 11; v = g + 12; n = b + 6; c = a + 5; h = 12. Given that h = 12, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 19", "j": "e + 15", "d": "j + 3", "h": "d + 9", "g": "h + 19", "x": "g + 9", "u": "n + 19", "s": "u + 7", "c": "s + 16", "b": "c + 19", "p": "b + 1", "w": "p + 18", "n": 11}, "premises": {"n": 11}, "target": "x"}, "answer": {"steps": [["g", "h + 19", "h + 28"], ["h", "d + 9", "d + 37"], ["d", "j + 3", "j + 40"], ["j", "e + 15", "e + 55"], ["e", "n + 19", "n + 74"], ["n", 11, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"n": 11}, "is_reverse": true}}
| 252
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = p + 18; g = h + 19; h = d + 9; c = s + 16; j = e + 15; n = 11; p = b + 1; x = g + 9; e = n + 19; b = c + 19; d = j + 3; u = n + 19; s = u + 7. If n = 11, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 19 to x, which gives x = h + 28.\n2. Substitute h = d + 9 to x, which gives x = d + 37.\n3. Substitute d = j + 3 to x, which gives x = j + 40.\n4. Substitute j = e + 15 to x, which gives x = e + 55.\n5. Substitute e = n + 19 to x, which gives x = n + 74.\n6. Substitute n = 11 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 252,
"question": "Consider a system of variables where each variable is defined as follows: w = p + 18; g = h + 19; h = d + 9; c = s + 16; j = e + 15; n = 11; p = b + 1; x = g + 9; e = n + 19; b = c + 19; d = j + 3; u = n + 19; s = u + 7. If n = 11, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"t": "k + 16", "b": "t + 13", "u": "b + 16", "z": "u + 9", "w": "z + 1", "l": "w + 8", "j": "k + 8", "d": "j + 2", "e": "d + 16", "f": "e + 10", "v": "f + 13", "c": "v + 19", "k": 2}, "premises": {"k": 2}, "target": "l"}, "answer": {"steps": [["t", "k + 16", 18], ["b", "t + 13", 31], ["u", "b + 16", 47], ["z", "u + 9", 56], ["w", "z + 1", 57], ["l", "w + 8", 65]], "target_var_name": "l", "target_value": 65, "value_dict": {"k": 2, "t": 18, "b": 31, "u": 47, "z": 56, "w": 57, "l": 65}, "is_reverse": false}}
| 253
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = d + 16; v = f + 13; b = t + 13; c = v + 19; z = u + 9; j = k + 8; w = z + 1; l = w + 8; d = j + 2; f = e + 10; k = 2; u = b + 16; t = k + 16. If k = 2, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = k + 16, which gives t = 18.\n2. Compute b using b = t + 13, which gives b = 31.\n3. Compute u using u = b + 16, which gives u = 47.\n4. Compute z using z = u + 9, which gives z = 56.\n5. Compute w using w = z + 1, which gives w = 57.\n6. Compute l using l = w + 8, which gives l = 65.\n\nThus, the final answer is l = \\boxed{65}.",
"index": 253,
"question": "Consider a system of variables where each variable is defined as follows: e = d + 16; v = f + 13; b = t + 13; c = v + 19; z = u + 9; j = k + 8; w = z + 1; l = w + 8; d = j + 2; f = e + 10; k = 2; u = b + 16; t = k + 16. If k = 2, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 4", "u": "c + 18", "k": "u + 17", "s": "k + 20", "r": "s + 5", "j": "r + 13", "b": "d + 10", "x": "b + 4", "o": "x + 3", "a": "o + 1", "l": "a + 3", "f": "l + 5", "d": 9}, "premises": {"d": 9}, "target": "j"}, "answer": {"steps": [["r", "s + 5", "s + 18"], ["s", "k + 20", "k + 38"], ["k", "u + 17", "u + 55"], ["u", "c + 18", "c + 73"], ["c", "d + 4", "d + 77"], ["d", 9, "86"]], "target_var_name": "j", "target_value": 86, "value_dict": {"d": 9}, "is_reverse": true}}
| 254
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = s + 5; k = u + 17; l = a + 3; o = x + 3; d = 9; a = o + 1; u = c + 18; j = r + 13; b = d + 10; x = b + 4; s = k + 20; f = l + 5; c = d + 4. If d = 9, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 5 to j, which gives j = s + 18.\n2. Substitute s = k + 20 to j, which gives j = k + 38.\n3. Substitute k = u + 17 to j, which gives j = u + 55.\n4. Substitute u = c + 18 to j, which gives j = c + 73.\n5. Substitute c = d + 4 to j, which gives j = d + 77.\n6. Substitute d = 9 to j, which gives j = 86.\n\nThus, the final answer is j = \\boxed{86}.",
"index": 254,
"question": "Consider a system of variables where each variable is defined as follows: r = s + 5; k = u + 17; l = a + 3; o = x + 3; d = 9; a = o + 1; u = c + 18; j = r + 13; b = d + 10; x = b + 4; s = k + 20; f = l + 5; c = d + 4. If d = 9, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"g": "l + 1", "q": "g + 12", "r": "q + 2", "u": "r + 16", "t": "u + 16", "i": "t + 8", "p": "l + 4", "c": "p + 5", "j": "c + 10", "x": "j + 1", "z": "x + 16", "a": "z + 20", "l": 16}, "premises": {"l": 16}, "target": "i"}, "answer": {"steps": [["t", "u + 16", "u + 24"], ["u", "r + 16", "r + 40"], ["r", "q + 2", "q + 42"], ["q", "g + 12", "g + 54"], ["g", "l + 1", "l + 55"], ["l", 16, "71"]], "target_var_name": "i", "target_value": 71, "value_dict": {"l": 16}, "is_reverse": true}}
| 255
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = u + 16; z = x + 16; j = c + 10; c = p + 5; i = t + 8; p = l + 4; u = r + 16; x = j + 1; l = 16; g = l + 1; r = q + 2; a = z + 20; q = g + 12. If l = 16, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 16 to i, which gives i = u + 24.\n2. Substitute u = r + 16 to i, which gives i = r + 40.\n3. Substitute r = q + 2 to i, which gives i = q + 42.\n4. Substitute q = g + 12 to i, which gives i = g + 54.\n5. Substitute g = l + 1 to i, which gives i = l + 55.\n6. Substitute l = 16 to i, which gives i = 71.\n\nThus, the final answer is i = \\boxed{71}.",
"index": 255,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = u + 16; z = x + 16; j = c + 10; c = p + 5; i = t + 8; p = l + 4; u = r + 16; x = j + 1; l = 16; g = l + 1; r = q + 2; a = z + 20; q = g + 12. If l = 16, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"f": "w + 12", "t": "f + 5", "s": "t + 2", "e": "s + 18", "q": "e + 12", "n": "q + 14", "k": "w + 12", "h": "k + 7", "i": "h + 10", "d": "i + 5", "p": "d + 11", "b": "p + 3", "w": 10}, "premises": {"w": 10}, "target": "n"}, "answer": {"steps": [["f", "w + 12", 22], ["t", "f + 5", 27], ["s", "t + 2", 29], ["e", "s + 18", 47], ["q", "e + 12", 59], ["n", "q + 14", 73]], "target_var_name": "n", "target_value": 73, "value_dict": {"w": 10, "f": 22, "t": 27, "s": 29, "e": 47, "q": 59, "n": 73}, "is_reverse": false}}
| 256
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 7; f = w + 12; q = e + 12; s = t + 2; w = 10; e = s + 18; k = w + 12; t = f + 5; n = q + 14; p = d + 11; i = h + 10; d = i + 5; b = p + 3. If w = 10, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = w + 12, which gives f = 22.\n2. Compute t using t = f + 5, which gives t = 27.\n3. Compute s using s = t + 2, which gives s = 29.\n4. Compute e using e = s + 18, which gives e = 47.\n5. Compute q using q = e + 12, which gives q = 59.\n6. Compute n using n = q + 14, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 256,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 7; f = w + 12; q = e + 12; s = t + 2; w = 10; e = s + 18; k = w + 12; t = f + 5; n = q + 14; p = d + 11; i = h + 10; d = i + 5; b = p + 3. If w = 10, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"w": "x + 3", "b": "w + 19", "y": "b + 14", "o": "y + 5", "g": "o + 18", "q": "g + 9", "u": "x + 18", "m": "u + 15", "l": "m + 15", "k": "l + 17", "s": "k + 16", "z": "s + 17", "x": 4}, "premises": {"x": 4}, "target": "q"}, "answer": {"steps": [["w", "x + 3", 7], ["b", "w + 19", 26], ["y", "b + 14", 40], ["o", "y + 5", 45], ["g", "o + 18", 63], ["q", "g + 9", 72]], "target_var_name": "q", "target_value": 72, "value_dict": {"x": 4, "w": 7, "b": 26, "y": 40, "o": 45, "g": 63, "q": 72}, "is_reverse": false}}
| 257
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = w + 19; u = x + 18; x = 4; w = x + 3; o = y + 5; g = o + 18; s = k + 16; y = b + 14; k = l + 17; q = g + 9; m = u + 15; z = s + 17; l = m + 15. If x = 4, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = x + 3, which gives w = 7.\n2. Compute b using b = w + 19, which gives b = 26.\n3. Compute y using y = b + 14, which gives y = 40.\n4. Compute o using o = y + 5, which gives o = 45.\n5. Compute g using g = o + 18, which gives g = 63.\n6. Compute q using q = g + 9, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 257,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = w + 19; u = x + 18; x = 4; w = x + 3; o = y + 5; g = o + 18; s = k + 16; y = b + 14; k = l + 17; q = g + 9; m = u + 15; z = s + 17; l = m + 15. If x = 4, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"g": "w + 2", "x": "g + 20", "p": "x + 16", "d": "p + 5", "u": "d + 4", "a": "u + 19", "j": "w + 20", "i": "j + 17", "k": "i + 8", "o": "k + 17", "t": "o + 7", "z": "t + 17", "w": 10}, "premises": {"w": 10}, "target": "a"}, "answer": {"steps": [["u", "d + 4", "d + 23"], ["d", "p + 5", "p + 28"], ["p", "x + 16", "x + 44"], ["x", "g + 20", "g + 64"], ["g", "w + 2", "w + 66"], ["w", 10, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"w": 10}, "is_reverse": true}}
| 258
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = j + 17; o = k + 17; x = g + 20; w = 10; d = p + 5; a = u + 19; p = x + 16; t = o + 7; g = w + 2; z = t + 17; u = d + 4; k = i + 8; j = w + 20. If w = 10, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 4 to a, which gives a = d + 23.\n2. Substitute d = p + 5 to a, which gives a = p + 28.\n3. Substitute p = x + 16 to a, which gives a = x + 44.\n4. Substitute x = g + 20 to a, which gives a = g + 64.\n5. Substitute g = w + 2 to a, which gives a = w + 66.\n6. Substitute w = 10 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 258,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = j + 17; o = k + 17; x = g + 20; w = 10; d = p + 5; a = u + 19; p = x + 16; t = o + 7; g = w + 2; z = t + 17; u = d + 4; k = i + 8; j = w + 20. If w = 10, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"z": "r + 19", "f": "z + 13", "q": "f + 7", "u": "q + 4", "a": "u + 12", "k": "a + 1", "c": "r + 2", "y": "c + 3", "e": "y + 10", "p": "e + 15", "n": "p + 16", "g": "n + 16", "r": 7}, "premises": {"r": 7}, "target": "k"}, "answer": {"steps": [["a", "u + 12", "u + 13"], ["u", "q + 4", "q + 17"], ["q", "f + 7", "f + 24"], ["f", "z + 13", "z + 37"], ["z", "r + 19", "r + 56"], ["r", 7, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"r": 7}, "is_reverse": true}}
| 259
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = y + 10; u = q + 4; r = 7; k = a + 1; z = r + 19; y = c + 3; n = p + 16; f = z + 13; c = r + 2; p = e + 15; a = u + 12; g = n + 16; q = f + 7. Given that r = 7, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 12 to k, which gives k = u + 13.\n2. Substitute u = q + 4 to k, which gives k = q + 17.\n3. Substitute q = f + 7 to k, which gives k = f + 24.\n4. Substitute f = z + 13 to k, which gives k = z + 37.\n5. Substitute z = r + 19 to k, which gives k = r + 56.\n6. Substitute r = 7 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 259,
"question": "Suppose a collection of variables is related by the following definitions: e = y + 10; u = q + 4; r = 7; k = a + 1; z = r + 19; y = c + 3; n = p + 16; f = z + 13; c = r + 2; p = e + 15; a = u + 12; g = n + 16; q = f + 7. Given that r = 7, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"j": "q + 6", "o": "j + 12", "y": "o + 11", "x": "y + 7", "m": "x + 17", "d": "m + 9", "i": "q + 7", "s": "i + 5", "w": "s + 8", "z": "w + 12", "c": "z + 15", "u": "c + 20", "q": 7}, "premises": {"q": 7}, "target": "d"}, "answer": {"steps": [["j", "q + 6", 13], ["o", "j + 12", 25], ["y", "o + 11", 36], ["x", "y + 7", 43], ["m", "x + 17", 60], ["d", "m + 9", 69]], "target_var_name": "d", "target_value": 69, "value_dict": {"q": 7, "j": 13, "o": 25, "y": 36, "x": 43, "m": 60, "d": 69}, "is_reverse": false}}
| 260
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 11; q = 7; d = m + 9; w = s + 8; z = w + 12; i = q + 7; j = q + 6; u = c + 20; o = j + 12; x = y + 7; c = z + 15; s = i + 5; m = x + 17. If q = 7, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = q + 6, which gives j = 13.\n2. Compute o using o = j + 12, which gives o = 25.\n3. Compute y using y = o + 11, which gives y = 36.\n4. Compute x using x = y + 7, which gives x = 43.\n5. Compute m using m = x + 17, which gives m = 60.\n6. Compute d using d = m + 9, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 260,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 11; q = 7; d = m + 9; w = s + 8; z = w + 12; i = q + 7; j = q + 6; u = c + 20; o = j + 12; x = y + 7; c = z + 15; s = i + 5; m = x + 17. If q = 7, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"z": "h + 18", "a": "z + 11", "p": "a + 3", "q": "p + 16", "d": "q + 12", "v": "d + 8", "s": "h + 12", "k": "s + 12", "t": "k + 2", "n": "t + 15", "m": "n + 20", "o": "m + 19", "h": 12}, "premises": {"h": 12}, "target": "v"}, "answer": {"steps": [["d", "q + 12", "q + 20"], ["q", "p + 16", "p + 36"], ["p", "a + 3", "a + 39"], ["a", "z + 11", "z + 50"], ["z", "h + 18", "h + 68"], ["h", 12, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"h": 12}, "is_reverse": true}}
| 261
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = q + 12; k = s + 12; z = h + 18; t = k + 2; m = n + 20; p = a + 3; n = t + 15; q = p + 16; v = d + 8; s = h + 12; o = m + 19; a = z + 11; h = 12. Given that h = 12, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 12 to v, which gives v = q + 20.\n2. Substitute q = p + 16 to v, which gives v = p + 36.\n3. Substitute p = a + 3 to v, which gives v = a + 39.\n4. Substitute a = z + 11 to v, which gives v = z + 50.\n5. Substitute z = h + 18 to v, which gives v = h + 68.\n6. Substitute h = 12 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 261,
"question": "Suppose a collection of variables is related by the following definitions: d = q + 12; k = s + 12; z = h + 18; t = k + 2; m = n + 20; p = a + 3; n = t + 15; q = p + 16; v = d + 8; s = h + 12; o = m + 19; a = z + 11; h = 12. Given that h = 12, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"g": "u + 17", "s": "g + 10", "a": "s + 12", "x": "a + 1", "i": "x + 7", "z": "i + 10", "e": "u + 9", "y": "e + 1", "f": "y + 3", "p": "f + 4", "t": "p + 10", "v": "t + 3", "u": 1}, "premises": {"u": 1}, "target": "z"}, "answer": {"steps": [["i", "x + 7", "x + 17"], ["x", "a + 1", "a + 18"], ["a", "s + 12", "s + 30"], ["s", "g + 10", "g + 40"], ["g", "u + 17", "u + 57"], ["u", 1, "58"]], "target_var_name": "z", "target_value": 58, "value_dict": {"u": 1}, "is_reverse": true}}
| 262
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = s + 12; p = f + 4; e = u + 9; u = 1; f = y + 3; s = g + 10; i = x + 7; g = u + 17; x = a + 1; y = e + 1; v = t + 3; z = i + 10; t = p + 10. If u = 1, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 7 to z, which gives z = x + 17.\n2. Substitute x = a + 1 to z, which gives z = a + 18.\n3. Substitute a = s + 12 to z, which gives z = s + 30.\n4. Substitute s = g + 10 to z, which gives z = g + 40.\n5. Substitute g = u + 17 to z, which gives z = u + 57.\n6. Substitute u = 1 to z, which gives z = 58.\n\nThus, the final answer is z = \\boxed{58}.",
"index": 262,
"question": "Consider a system of variables where each variable is defined as follows: a = s + 12; p = f + 4; e = u + 9; u = 1; f = y + 3; s = g + 10; i = x + 7; g = u + 17; x = a + 1; y = e + 1; v = t + 3; z = i + 10; t = p + 10. If u = 1, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"z": "m + 16", "w": "z + 3", "l": "w + 5", "b": "l + 18", "d": "b + 6", "g": "d + 2", "e": "m + 12", "r": "e + 14", "a": "r + 5", "u": "a + 16", "k": "u + 8", "f": "k + 17", "m": 8}, "premises": {"m": 8}, "target": "g"}, "answer": {"steps": [["z", "m + 16", 24], ["w", "z + 3", 27], ["l", "w + 5", 32], ["b", "l + 18", 50], ["d", "b + 6", 56], ["g", "d + 2", 58]], "target_var_name": "g", "target_value": 58, "value_dict": {"m": 8, "z": 24, "w": 27, "l": 32, "b": 50, "d": 56, "g": 58}, "is_reverse": false}}
| 263
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = a + 16; g = d + 2; l = w + 5; m = 8; a = r + 5; b = l + 18; f = k + 17; r = e + 14; k = u + 8; w = z + 3; z = m + 16; e = m + 12; d = b + 6. Given that m = 8, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = m + 16, which gives z = 24.\n2. Compute w using w = z + 3, which gives w = 27.\n3. Compute l using l = w + 5, which gives l = 32.\n4. Compute b using b = l + 18, which gives b = 50.\n5. Compute d using d = b + 6, which gives d = 56.\n6. Compute g using g = d + 2, which gives g = 58.\n\nThus, the final answer is g = \\boxed{58}.",
"index": 263,
"question": "Suppose a collection of variables is related by the following definitions: u = a + 16; g = d + 2; l = w + 5; m = 8; a = r + 5; b = l + 18; f = k + 17; r = e + 14; k = u + 8; w = z + 3; z = m + 16; e = m + 12; d = b + 6. Given that m = 8, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"e": "c + 19", "n": "e + 17", "r": "n + 10", "h": "r + 9", "p": "h + 17", "u": "p + 20", "x": "c + 8", "o": "x + 3", "d": "o + 10", "a": "d + 4", "m": "a + 6", "k": "m + 18", "c": 9}, "premises": {"c": 9}, "target": "u"}, "answer": {"steps": [["e", "c + 19", 28], ["n", "e + 17", 45], ["r", "n + 10", 55], ["h", "r + 9", 64], ["p", "h + 17", 81], ["u", "p + 20", 101]], "target_var_name": "u", "target_value": 101, "value_dict": {"c": 9, "e": 28, "n": 45, "r": 55, "h": 64, "p": 81, "u": 101}, "is_reverse": false}}
| 264
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = n + 10; n = e + 17; o = x + 3; a = d + 4; u = p + 20; c = 9; h = r + 9; x = c + 8; e = c + 19; k = m + 18; p = h + 17; d = o + 10; m = a + 6. If c = 9, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = c + 19, which gives e = 28.\n2. Compute n using n = e + 17, which gives n = 45.\n3. Compute r using r = n + 10, which gives r = 55.\n4. Compute h using h = r + 9, which gives h = 64.\n5. Compute p using p = h + 17, which gives p = 81.\n6. Compute u using u = p + 20, which gives u = 101.\n\nThus, the final answer is u = \\boxed{101}.",
"index": 264,
"question": "Consider a system of variables where each variable is defined as follows: r = n + 10; n = e + 17; o = x + 3; a = d + 4; u = p + 20; c = 9; h = r + 9; x = c + 8; e = c + 19; k = m + 18; p = h + 17; d = o + 10; m = a + 6. If c = 9, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"d": "y + 17", "f": "d + 5", "e": "f + 5", "r": "e + 4", "s": "r + 13", "t": "s + 19", "w": "y + 12", "n": "w + 19", "c": "n + 11", "x": "c + 2", "o": "x + 4", "u": "o + 5", "y": 19}, "premises": {"y": 19}, "target": "t"}, "answer": {"steps": [["s", "r + 13", "r + 32"], ["r", "e + 4", "e + 36"], ["e", "f + 5", "f + 41"], ["f", "d + 5", "d + 46"], ["d", "y + 17", "y + 63"], ["y", 19, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"y": 19}, "is_reverse": true}}
| 265
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = y + 12; t = s + 19; n = w + 19; o = x + 4; r = e + 4; f = d + 5; e = f + 5; c = n + 11; d = y + 17; y = 19; s = r + 13; x = c + 2; u = o + 5. Given that y = 19, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 13 to t, which gives t = r + 32.\n2. Substitute r = e + 4 to t, which gives t = e + 36.\n3. Substitute e = f + 5 to t, which gives t = f + 41.\n4. Substitute f = d + 5 to t, which gives t = d + 46.\n5. Substitute d = y + 17 to t, which gives t = y + 63.\n6. Substitute y = 19 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 265,
"question": "Suppose a collection of variables is related by the following definitions: w = y + 12; t = s + 19; n = w + 19; o = x + 4; r = e + 4; f = d + 5; e = f + 5; c = n + 11; d = y + 17; y = 19; s = r + 13; x = c + 2; u = o + 5. Given that y = 19, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 12", "i": "w + 18", "x": "i + 6", "o": "x + 19", "z": "o + 3", "y": "z + 13", "u": "m + 2", "n": "u + 10", "s": "n + 8", "c": "s + 3", "t": "c + 14", "r": "t + 6", "m": 14}, "premises": {"m": 14}, "target": "y"}, "answer": {"steps": [["z", "o + 3", "o + 16"], ["o", "x + 19", "x + 35"], ["x", "i + 6", "i + 41"], ["i", "w + 18", "w + 59"], ["w", "m + 12", "m + 71"], ["m", 14, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"m": 14}, "is_reverse": true}}
| 266
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = z + 13; r = t + 6; u = m + 2; x = i + 6; t = c + 14; c = s + 3; m = 14; z = o + 3; o = x + 19; n = u + 10; s = n + 8; w = m + 12; i = w + 18. Given that m = 14, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 3 to y, which gives y = o + 16.\n2. Substitute o = x + 19 to y, which gives y = x + 35.\n3. Substitute x = i + 6 to y, which gives y = i + 41.\n4. Substitute i = w + 18 to y, which gives y = w + 59.\n5. Substitute w = m + 12 to y, which gives y = m + 71.\n6. Substitute m = 14 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 266,
"question": "Suppose a collection of variables is related by the following definitions: y = z + 13; r = t + 6; u = m + 2; x = i + 6; t = c + 14; c = s + 3; m = 14; z = o + 3; o = x + 19; n = u + 10; s = n + 8; w = m + 12; i = w + 18. Given that m = 14, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"q": "u + 2", "h": "q + 14", "p": "h + 19", "b": "p + 2", "g": "b + 14", "l": "g + 1", "t": "u + 18", "j": "t + 9", "n": "j + 15", "v": "n + 6", "e": "v + 5", "f": "e + 20", "u": 8}, "premises": {"u": 8}, "target": "l"}, "answer": {"steps": [["g", "b + 14", "b + 15"], ["b", "p + 2", "p + 17"], ["p", "h + 19", "h + 36"], ["h", "q + 14", "q + 50"], ["q", "u + 2", "u + 52"], ["u", 8, "60"]], "target_var_name": "l", "target_value": 60, "value_dict": {"u": 8}, "is_reverse": true}}
| 267
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 1; g = b + 14; q = u + 2; u = 8; n = j + 15; e = v + 5; t = u + 18; j = t + 9; b = p + 2; h = q + 14; f = e + 20; p = h + 19; v = n + 6. If u = 8, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 14 to l, which gives l = b + 15.\n2. Substitute b = p + 2 to l, which gives l = p + 17.\n3. Substitute p = h + 19 to l, which gives l = h + 36.\n4. Substitute h = q + 14 to l, which gives l = q + 50.\n5. Substitute q = u + 2 to l, which gives l = u + 52.\n6. Substitute u = 8 to l, which gives l = 60.\n\nThus, the final answer is l = \\boxed{60}.",
"index": 267,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 1; g = b + 14; q = u + 2; u = 8; n = j + 15; e = v + 5; t = u + 18; j = t + 9; b = p + 2; h = q + 14; f = e + 20; p = h + 19; v = n + 6. If u = 8, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"q": "o + 7", "w": "q + 15", "c": "w + 1", "l": "c + 4", "y": "l + 15", "h": "y + 17", "z": "o + 18", "x": "z + 2", "m": "x + 11", "d": "m + 12", "v": "d + 15", "n": "v + 6", "o": 3}, "premises": {"o": 3}, "target": "h"}, "answer": {"steps": [["y", "l + 15", "l + 32"], ["l", "c + 4", "c + 36"], ["c", "w + 1", "w + 37"], ["w", "q + 15", "q + 52"], ["q", "o + 7", "o + 59"], ["o", 3, "62"]], "target_var_name": "h", "target_value": 62, "value_dict": {"o": 3}, "is_reverse": true}}
| 268
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = v + 6; q = o + 7; l = c + 4; y = l + 15; w = q + 15; m = x + 11; x = z + 2; v = d + 15; z = o + 18; d = m + 12; c = w + 1; o = 3; h = y + 17. If o = 3, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 15 to h, which gives h = l + 32.\n2. Substitute l = c + 4 to h, which gives h = c + 36.\n3. Substitute c = w + 1 to h, which gives h = w + 37.\n4. Substitute w = q + 15 to h, which gives h = q + 52.\n5. Substitute q = o + 7 to h, which gives h = o + 59.\n6. Substitute o = 3 to h, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 268,
"question": "Consider a system of variables where each variable is defined as follows: n = v + 6; q = o + 7; l = c + 4; y = l + 15; w = q + 15; m = x + 11; x = z + 2; v = d + 15; z = o + 18; d = m + 12; c = w + 1; o = 3; h = y + 17. If o = 3, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"d": "g + 20", "b": "d + 5", "s": "b + 1", "h": "s + 14", "k": "h + 3", "i": "k + 17", "w": "g + 9", "p": "w + 1", "u": "p + 13", "a": "u + 19", "c": "a + 13", "y": "c + 19", "g": 2}, "premises": {"g": 2}, "target": "i"}, "answer": {"steps": [["k", "h + 3", "h + 20"], ["h", "s + 14", "s + 34"], ["s", "b + 1", "b + 35"], ["b", "d + 5", "d + 40"], ["d", "g + 20", "g + 60"], ["g", 2, "62"]], "target_var_name": "i", "target_value": 62, "value_dict": {"g": 2}, "is_reverse": true}}
| 269
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = b + 1; g = 2; i = k + 17; c = a + 13; w = g + 9; y = c + 19; u = p + 13; k = h + 3; h = s + 14; a = u + 19; b = d + 5; d = g + 20; p = w + 1. Given that g = 2, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 3 to i, which gives i = h + 20.\n2. Substitute h = s + 14 to i, which gives i = s + 34.\n3. Substitute s = b + 1 to i, which gives i = b + 35.\n4. Substitute b = d + 5 to i, which gives i = d + 40.\n5. Substitute d = g + 20 to i, which gives i = g + 60.\n6. Substitute g = 2 to i, which gives i = 62.\n\nThus, the final answer is i = \\boxed{62}.",
"index": 269,
"question": "Suppose a collection of variables is related by the following definitions: s = b + 1; g = 2; i = k + 17; c = a + 13; w = g + 9; y = c + 19; u = p + 13; k = h + 3; h = s + 14; a = u + 19; b = d + 5; d = g + 20; p = w + 1. Given that g = 2, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"l": "x + 9", "m": "l + 20", "r": "m + 8", "f": "r + 13", "a": "f + 17", "j": "a + 15", "g": "x + 1", "e": "g + 3", "o": "e + 16", "u": "o + 19", "h": "u + 6", "d": "h + 13", "x": 2}, "premises": {"x": 2}, "target": "j"}, "answer": {"steps": [["a", "f + 17", "f + 32"], ["f", "r + 13", "r + 45"], ["r", "m + 8", "m + 53"], ["m", "l + 20", "l + 73"], ["l", "x + 9", "x + 82"], ["x", 2, "84"]], "target_var_name": "j", "target_value": 84, "value_dict": {"x": 2}, "is_reverse": true}}
| 270
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = 2; u = o + 19; e = g + 3; h = u + 6; j = a + 15; o = e + 16; r = m + 8; f = r + 13; l = x + 9; m = l + 20; g = x + 1; a = f + 17; d = h + 13. If x = 2, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 17 to j, which gives j = f + 32.\n2. Substitute f = r + 13 to j, which gives j = r + 45.\n3. Substitute r = m + 8 to j, which gives j = m + 53.\n4. Substitute m = l + 20 to j, which gives j = l + 73.\n5. Substitute l = x + 9 to j, which gives j = x + 82.\n6. Substitute x = 2 to j, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 270,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 2; u = o + 19; e = g + 3; h = u + 6; j = a + 15; o = e + 16; r = m + 8; f = r + 13; l = x + 9; m = l + 20; g = x + 1; a = f + 17; d = h + 13. If x = 2, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"b": "s + 5", "i": "b + 7", "a": "i + 10", "p": "a + 10", "h": "p + 2", "q": "h + 11", "g": "s + 15", "m": "g + 3", "r": "m + 18", "w": "r + 20", "j": "w + 4", "v": "j + 13", "s": 6}, "premises": {"s": 6}, "target": "q"}, "answer": {"steps": [["b", "s + 5", 11], ["i", "b + 7", 18], ["a", "i + 10", 28], ["p", "a + 10", 38], ["h", "p + 2", 40], ["q", "h + 11", 51]], "target_var_name": "q", "target_value": 51, "value_dict": {"s": 6, "b": 11, "i": 18, "a": 28, "p": 38, "h": 40, "q": 51}, "is_reverse": false}}
| 271
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = m + 18; i = b + 7; p = a + 10; w = r + 20; h = p + 2; b = s + 5; m = g + 3; s = 6; a = i + 10; g = s + 15; q = h + 11; j = w + 4; v = j + 13. Given that s = 6, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = s + 5, which gives b = 11.\n2. Compute i using i = b + 7, which gives i = 18.\n3. Compute a using a = i + 10, which gives a = 28.\n4. Compute p using p = a + 10, which gives p = 38.\n5. Compute h using h = p + 2, which gives h = 40.\n6. Compute q using q = h + 11, which gives q = 51.\n\nThus, the final answer is q = \\boxed{51}.",
"index": 271,
"question": "Suppose a collection of variables is related by the following definitions: r = m + 18; i = b + 7; p = a + 10; w = r + 20; h = p + 2; b = s + 5; m = g + 3; s = 6; a = i + 10; g = s + 15; q = h + 11; j = w + 4; v = j + 13. Given that s = 6, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 16", "o": "c + 7", "h": "o + 20", "t": "h + 5", "a": "t + 8", "e": "a + 1", "j": "p + 1", "s": "j + 13", "z": "s + 5", "m": "z + 16", "l": "m + 8", "i": "l + 3", "p": 16}, "premises": {"p": 16}, "target": "e"}, "answer": {"steps": [["a", "t + 8", "t + 9"], ["t", "h + 5", "h + 14"], ["h", "o + 20", "o + 34"], ["o", "c + 7", "c + 41"], ["c", "p + 16", "p + 57"], ["p", 16, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"p": 16}, "is_reverse": true}}
| 272
| 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 + 5; j = p + 1; c = p + 16; e = a + 1; l = m + 8; m = z + 16; s = j + 13; a = t + 8; h = o + 20; p = 16; z = s + 5; i = l + 3; o = c + 7. If p = 16, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 8 to e, which gives e = t + 9.\n2. Substitute t = h + 5 to e, which gives e = h + 14.\n3. Substitute h = o + 20 to e, which gives e = o + 34.\n4. Substitute o = c + 7 to e, which gives e = c + 41.\n5. Substitute c = p + 16 to e, which gives e = p + 57.\n6. Substitute p = 16 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 272,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 5; j = p + 1; c = p + 16; e = a + 1; l = m + 8; m = z + 16; s = j + 13; a = t + 8; h = o + 20; p = 16; z = s + 5; i = l + 3; o = c + 7. If p = 16, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"p": "d + 19", "x": "p + 19", "l": "x + 6", "g": "l + 19", "q": "g + 8", "h": "q + 19", "o": "d + 9", "e": "o + 9", "j": "e + 5", "v": "j + 20", "y": "v + 20", "c": "y + 1", "d": 12}, "premises": {"d": 12}, "target": "h"}, "answer": {"steps": [["q", "g + 8", "g + 27"], ["g", "l + 19", "l + 46"], ["l", "x + 6", "x + 52"], ["x", "p + 19", "p + 71"], ["p", "d + 19", "d + 90"], ["d", 12, "102"]], "target_var_name": "h", "target_value": 102, "value_dict": {"d": 12}, "is_reverse": true}}
| 273
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = e + 5; e = o + 9; p = d + 19; d = 12; o = d + 9; y = v + 20; g = l + 19; h = q + 19; x = p + 19; q = g + 8; l = x + 6; c = y + 1; v = j + 20. If d = 12, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 8 to h, which gives h = g + 27.\n2. Substitute g = l + 19 to h, which gives h = l + 46.\n3. Substitute l = x + 6 to h, which gives h = x + 52.\n4. Substitute x = p + 19 to h, which gives h = p + 71.\n5. Substitute p = d + 19 to h, which gives h = d + 90.\n6. Substitute d = 12 to h, which gives h = 102.\n\nThus, the final answer is h = \\boxed{102}.",
"index": 273,
"question": "Consider a system of variables where each variable is defined as follows: j = e + 5; e = o + 9; p = d + 19; d = 12; o = d + 9; y = v + 20; g = l + 19; h = q + 19; x = p + 19; q = g + 8; l = x + 6; c = y + 1; v = j + 20. If d = 12, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"d": "l + 7", "o": "d + 4", "k": "o + 17", "t": "k + 15", "y": "t + 13", "i": "y + 4", "v": "l + 5", "r": "v + 17", "n": "r + 8", "f": "n + 18", "g": "f + 8", "x": "g + 15", "l": 19}, "premises": {"l": 19}, "target": "i"}, "answer": {"steps": [["y", "t + 13", "t + 17"], ["t", "k + 15", "k + 32"], ["k", "o + 17", "o + 49"], ["o", "d + 4", "d + 53"], ["d", "l + 7", "l + 60"], ["l", 19, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"l": 19}, "is_reverse": true}}
| 274
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = k + 15; g = f + 8; k = o + 17; o = d + 4; f = n + 18; d = l + 7; r = v + 17; i = y + 4; l = 19; n = r + 8; x = g + 15; v = l + 5; y = t + 13. If l = 19, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 13 to i, which gives i = t + 17.\n2. Substitute t = k + 15 to i, which gives i = k + 32.\n3. Substitute k = o + 17 to i, which gives i = o + 49.\n4. Substitute o = d + 4 to i, which gives i = d + 53.\n5. Substitute d = l + 7 to i, which gives i = l + 60.\n6. Substitute l = 19 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 274,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = k + 15; g = f + 8; k = o + 17; o = d + 4; f = n + 18; d = l + 7; r = v + 17; i = y + 4; l = 19; n = r + 8; x = g + 15; v = l + 5; y = t + 13. If l = 19, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"b": "f + 1", "d": "b + 3", "n": "d + 20", "l": "n + 11", "a": "l + 10", "w": "a + 6", "j": "f + 5", "o": "j + 3", "z": "o + 17", "h": "z + 13", "v": "h + 20", "s": "v + 15", "f": 18}, "premises": {"f": 18}, "target": "w"}, "answer": {"steps": [["a", "l + 10", "l + 16"], ["l", "n + 11", "n + 27"], ["n", "d + 20", "d + 47"], ["d", "b + 3", "b + 50"], ["b", "f + 1", "f + 51"], ["f", 18, "69"]], "target_var_name": "w", "target_value": 69, "value_dict": {"f": 18}, "is_reverse": true}}
| 275
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = j + 3; w = a + 6; d = b + 3; j = f + 5; v = h + 20; s = v + 15; l = n + 11; z = o + 17; n = d + 20; h = z + 13; a = l + 10; f = 18; b = f + 1. If f = 18, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 10 to w, which gives w = l + 16.\n2. Substitute l = n + 11 to w, which gives w = n + 27.\n3. Substitute n = d + 20 to w, which gives w = d + 47.\n4. Substitute d = b + 3 to w, which gives w = b + 50.\n5. Substitute b = f + 1 to w, which gives w = f + 51.\n6. Substitute f = 18 to w, which gives w = 69.\n\nThus, the final answer is w = \\boxed{69}.",
"index": 275,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = j + 3; w = a + 6; d = b + 3; j = f + 5; v = h + 20; s = v + 15; l = n + 11; z = o + 17; n = d + 20; h = z + 13; a = l + 10; f = 18; b = f + 1. If f = 18, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"u": "a + 17", "r": "u + 3", "z": "r + 19", "k": "z + 3", "m": "k + 2", "b": "m + 17", "e": "a + 16", "j": "e + 5", "v": "j + 19", "h": "v + 6", "i": "h + 7", "d": "i + 7", "a": 18}, "premises": {"a": 18}, "target": "b"}, "answer": {"steps": [["u", "a + 17", 35], ["r", "u + 3", 38], ["z", "r + 19", 57], ["k", "z + 3", 60], ["m", "k + 2", 62], ["b", "m + 17", 79]], "target_var_name": "b", "target_value": 79, "value_dict": {"a": 18, "u": 35, "r": 38, "z": 57, "k": 60, "m": 62, "b": 79}, "is_reverse": false}}
| 276
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = r + 19; r = u + 3; e = a + 16; a = 18; i = h + 7; b = m + 17; v = j + 19; k = z + 3; h = v + 6; u = a + 17; d = i + 7; j = e + 5; m = k + 2. Given that a = 18, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = a + 17, which gives u = 35.\n2. Compute r using r = u + 3, which gives r = 38.\n3. Compute z using z = r + 19, which gives z = 57.\n4. Compute k using k = z + 3, which gives k = 60.\n5. Compute m using m = k + 2, which gives m = 62.\n6. Compute b using b = m + 17, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 276,
"question": "Suppose a collection of variables is related by the following definitions: z = r + 19; r = u + 3; e = a + 16; a = 18; i = h + 7; b = m + 17; v = j + 19; k = z + 3; h = v + 6; u = a + 17; d = i + 7; j = e + 5; m = k + 2. Given that a = 18, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"l": "z + 10", "r": "l + 16", "g": "r + 18", "a": "g + 7", "f": "a + 17", "m": "f + 9", "t": "z + 2", "k": "t + 8", "w": "k + 19", "j": "w + 7", "i": "j + 17", "e": "i + 12", "z": 3}, "premises": {"z": 3}, "target": "m"}, "answer": {"steps": [["f", "a + 17", "a + 26"], ["a", "g + 7", "g + 33"], ["g", "r + 18", "r + 51"], ["r", "l + 16", "l + 67"], ["l", "z + 10", "z + 77"], ["z", 3, "80"]], "target_var_name": "m", "target_value": 80, "value_dict": {"z": 3}, "is_reverse": true}}
| 277
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = l + 16; t = z + 2; i = j + 17; l = z + 10; e = i + 12; a = g + 7; g = r + 18; m = f + 9; j = w + 7; w = k + 19; f = a + 17; k = t + 8; z = 3. Given that z = 3, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 17 to m, which gives m = a + 26.\n2. Substitute a = g + 7 to m, which gives m = g + 33.\n3. Substitute g = r + 18 to m, which gives m = r + 51.\n4. Substitute r = l + 16 to m, which gives m = l + 67.\n5. Substitute l = z + 10 to m, which gives m = z + 77.\n6. Substitute z = 3 to m, which gives m = 80.\n\nThus, the final answer is m = \\boxed{80}.",
"index": 277,
"question": "Suppose a collection of variables is related by the following definitions: r = l + 16; t = z + 2; i = j + 17; l = z + 10; e = i + 12; a = g + 7; g = r + 18; m = f + 9; j = w + 7; w = k + 19; f = a + 17; k = t + 8; z = 3. Given that z = 3, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"m": "k + 6", "i": "m + 17", "t": "i + 16", "x": "t + 20", "h": "x + 14", "q": "h + 14", "y": "k + 3", "l": "y + 15", "c": "l + 1", "a": "c + 11", "p": "a + 9", "e": "p + 11", "k": 10}, "premises": {"k": 10}, "target": "q"}, "answer": {"steps": [["h", "x + 14", "x + 28"], ["x", "t + 20", "t + 48"], ["t", "i + 16", "i + 64"], ["i", "m + 17", "m + 81"], ["m", "k + 6", "k + 87"], ["k", 10, "97"]], "target_var_name": "q", "target_value": 97, "value_dict": {"k": 10}, "is_reverse": true}}
| 278
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = k + 3; c = l + 1; t = i + 16; e = p + 11; p = a + 9; x = t + 20; k = 10; i = m + 17; q = h + 14; l = y + 15; m = k + 6; a = c + 11; h = x + 14. If k = 10, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 14 to q, which gives q = x + 28.\n2. Substitute x = t + 20 to q, which gives q = t + 48.\n3. Substitute t = i + 16 to q, which gives q = i + 64.\n4. Substitute i = m + 17 to q, which gives q = m + 81.\n5. Substitute m = k + 6 to q, which gives q = k + 87.\n6. Substitute k = 10 to q, which gives q = 97.\n\nThus, the final answer is q = \\boxed{97}.",
"index": 278,
"question": "Consider a system of variables where each variable is defined as follows: y = k + 3; c = l + 1; t = i + 16; e = p + 11; p = a + 9; x = t + 20; k = 10; i = m + 17; q = h + 14; l = y + 15; m = k + 6; a = c + 11; h = x + 14. If k = 10, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"c": "n + 9", "k": "c + 14", "o": "k + 16", "a": "o + 13", "y": "a + 10", "s": "y + 14", "t": "n + 1", "b": "t + 10", "u": "b + 4", "g": "u + 20", "l": "g + 3", "f": "l + 11", "n": 3}, "premises": {"n": 3}, "target": "s"}, "answer": {"steps": [["y", "a + 10", "a + 24"], ["a", "o + 13", "o + 37"], ["o", "k + 16", "k + 53"], ["k", "c + 14", "c + 67"], ["c", "n + 9", "n + 76"], ["n", 3, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"n": 3}, "is_reverse": true}}
| 279
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 4; l = g + 3; y = a + 10; f = l + 11; o = k + 16; g = u + 20; k = c + 14; s = y + 14; b = t + 10; n = 3; c = n + 9; a = o + 13; t = n + 1. If n = 3, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 10 to s, which gives s = a + 24.\n2. Substitute a = o + 13 to s, which gives s = o + 37.\n3. Substitute o = k + 16 to s, which gives s = k + 53.\n4. Substitute k = c + 14 to s, which gives s = c + 67.\n5. Substitute c = n + 9 to s, which gives s = n + 76.\n6. Substitute n = 3 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 279,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 4; l = g + 3; y = a + 10; f = l + 11; o = k + 16; g = u + 20; k = c + 14; s = y + 14; b = t + 10; n = 3; c = n + 9; a = o + 13; t = n + 1. If n = 3, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"o": "w + 7", "s": "o + 15", "c": "s + 16", "j": "c + 13", "h": "j + 6", "d": "h + 3", "p": "w + 12", "t": "p + 20", "v": "t + 15", "k": "v + 18", "g": "k + 11", "l": "g + 4", "w": 12}, "premises": {"w": 12}, "target": "d"}, "answer": {"steps": [["h", "j + 6", "j + 9"], ["j", "c + 13", "c + 22"], ["c", "s + 16", "s + 38"], ["s", "o + 15", "o + 53"], ["o", "w + 7", "w + 60"], ["w", 12, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"w": 12}, "is_reverse": true}}
| 280
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = w + 7; h = j + 6; d = h + 3; w = 12; c = s + 16; g = k + 11; j = c + 13; s = o + 15; v = t + 15; t = p + 20; l = g + 4; k = v + 18; p = w + 12. Given that w = 12, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 6 to d, which gives d = j + 9.\n2. Substitute j = c + 13 to d, which gives d = c + 22.\n3. Substitute c = s + 16 to d, which gives d = s + 38.\n4. Substitute s = o + 15 to d, which gives d = o + 53.\n5. Substitute o = w + 7 to d, which gives d = w + 60.\n6. Substitute w = 12 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 280,
"question": "Suppose a collection of variables is related by the following definitions: o = w + 7; h = j + 6; d = h + 3; w = 12; c = s + 16; g = k + 11; j = c + 13; s = o + 15; v = t + 15; t = p + 20; l = g + 4; k = v + 18; p = w + 12. Given that w = 12, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"t": "b + 7", "a": "t + 12", "r": "a + 8", "c": "r + 11", "e": "c + 17", "l": "e + 15", "f": "b + 2", "m": "f + 13", "i": "m + 18", "h": "i + 14", "x": "h + 10", "v": "x + 5", "b": 12}, "premises": {"b": 12}, "target": "l"}, "answer": {"steps": [["e", "c + 17", "c + 32"], ["c", "r + 11", "r + 43"], ["r", "a + 8", "a + 51"], ["a", "t + 12", "t + 63"], ["t", "b + 7", "b + 70"], ["b", 12, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"b": 12}, "is_reverse": true}}
| 281
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = b + 7; i = m + 18; l = e + 15; r = a + 8; m = f + 13; b = 12; f = b + 2; e = c + 17; v = x + 5; a = t + 12; x = h + 10; h = i + 14; c = r + 11. If b = 12, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 17 to l, which gives l = c + 32.\n2. Substitute c = r + 11 to l, which gives l = r + 43.\n3. Substitute r = a + 8 to l, which gives l = a + 51.\n4. Substitute a = t + 12 to l, which gives l = t + 63.\n5. Substitute t = b + 7 to l, which gives l = b + 70.\n6. Substitute b = 12 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 281,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = b + 7; i = m + 18; l = e + 15; r = a + 8; m = f + 13; b = 12; f = b + 2; e = c + 17; v = x + 5; a = t + 12; x = h + 10; h = i + 14; c = r + 11. If b = 12, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 18", "f": "n + 1", "g": "f + 9", "r": "g + 14", "m": "r + 19", "y": "m + 7", "v": "q + 9", "k": "v + 2", "t": "k + 14", "c": "t + 15", "z": "c + 2", "b": "z + 14", "q": 1}, "premises": {"q": 1}, "target": "y"}, "answer": {"steps": [["n", "q + 18", 19], ["f", "n + 1", 20], ["g", "f + 9", 29], ["r", "g + 14", 43], ["m", "r + 19", 62], ["y", "m + 7", 69]], "target_var_name": "y", "target_value": 69, "value_dict": {"q": 1, "n": 19, "f": 20, "g": 29, "r": 43, "m": 62, "y": 69}, "is_reverse": false}}
| 282
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = f + 9; v = q + 9; c = t + 15; r = g + 14; k = v + 2; z = c + 2; y = m + 7; q = 1; m = r + 19; n = q + 18; b = z + 14; f = n + 1; t = k + 14. Given that q = 1, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = q + 18, which gives n = 19.\n2. Compute f using f = n + 1, which gives f = 20.\n3. Compute g using g = f + 9, which gives g = 29.\n4. Compute r using r = g + 14, which gives r = 43.\n5. Compute m using m = r + 19, which gives m = 62.\n6. Compute y using y = m + 7, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 282,
"question": "Suppose a collection of variables is related by the following definitions: g = f + 9; v = q + 9; c = t + 15; r = g + 14; k = v + 2; z = c + 2; y = m + 7; q = 1; m = r + 19; n = q + 18; b = z + 14; f = n + 1; t = k + 14. Given that q = 1, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"t": "r + 11", "w": "t + 14", "e": "w + 9", "k": "e + 13", "b": "k + 5", "i": "b + 8", "u": "r + 6", "h": "u + 4", "v": "h + 2", "q": "v + 19", "n": "q + 17", "y": "n + 16", "r": 19}, "premises": {"r": 19}, "target": "i"}, "answer": {"steps": [["b", "k + 5", "k + 13"], ["k", "e + 13", "e + 26"], ["e", "w + 9", "w + 35"], ["w", "t + 14", "t + 49"], ["t", "r + 11", "r + 60"], ["r", 19, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"r": 19}, "is_reverse": true}}
| 283
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = r + 11; r = 19; q = v + 19; u = r + 6; b = k + 5; y = n + 16; w = t + 14; n = q + 17; h = u + 4; e = w + 9; k = e + 13; i = b + 8; v = h + 2. If r = 19, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 5 to i, which gives i = k + 13.\n2. Substitute k = e + 13 to i, which gives i = e + 26.\n3. Substitute e = w + 9 to i, which gives i = w + 35.\n4. Substitute w = t + 14 to i, which gives i = t + 49.\n5. Substitute t = r + 11 to i, which gives i = r + 60.\n6. Substitute r = 19 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 283,
"question": "Consider a system of variables where each variable is defined as follows: t = r + 11; r = 19; q = v + 19; u = r + 6; b = k + 5; y = n + 16; w = t + 14; n = q + 17; h = u + 4; e = w + 9; k = e + 13; i = b + 8; v = h + 2. If r = 19, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"r": "d + 2", "g": "r + 7", "y": "g + 7", "u": "y + 18", "f": "u + 8", "x": "f + 14", "q": "d + 9", "e": "q + 20", "o": "e + 19", "k": "o + 17", "w": "k + 20", "m": "w + 4", "d": 19}, "premises": {"d": 19}, "target": "x"}, "answer": {"steps": [["f", "u + 8", "u + 22"], ["u", "y + 18", "y + 40"], ["y", "g + 7", "g + 47"], ["g", "r + 7", "r + 54"], ["r", "d + 2", "d + 56"], ["d", 19, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"d": 19}, "is_reverse": true}}
| 284
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 2; x = f + 14; o = e + 19; d = 19; w = k + 20; m = w + 4; e = q + 20; g = r + 7; k = o + 17; q = d + 9; u = y + 18; y = g + 7; f = u + 8. If d = 19, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 8 to x, which gives x = u + 22.\n2. Substitute u = y + 18 to x, which gives x = y + 40.\n3. Substitute y = g + 7 to x, which gives x = g + 47.\n4. Substitute g = r + 7 to x, which gives x = r + 54.\n5. Substitute r = d + 2 to x, which gives x = d + 56.\n6. Substitute d = 19 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 284,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 2; x = f + 14; o = e + 19; d = 19; w = k + 20; m = w + 4; e = q + 20; g = r + 7; k = o + 17; q = d + 9; u = y + 18; y = g + 7; f = u + 8. If d = 19, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"j": "w + 14", "c": "j + 17", "l": "c + 1", "a": "l + 15", "k": "a + 1", "d": "k + 17", "g": "w + 3", "m": "g + 1", "p": "m + 6", "x": "p + 8", "y": "x + 8", "o": "y + 10", "w": 6}, "premises": {"w": 6}, "target": "d"}, "answer": {"steps": [["k", "a + 1", "a + 18"], ["a", "l + 15", "l + 33"], ["l", "c + 1", "c + 34"], ["c", "j + 17", "j + 51"], ["j", "w + 14", "w + 65"], ["w", 6, "71"]], "target_var_name": "d", "target_value": 71, "value_dict": {"w": 6}, "is_reverse": true}}
| 285
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = l + 15; p = m + 6; j = w + 14; y = x + 8; c = j + 17; m = g + 1; x = p + 8; l = c + 1; g = w + 3; w = 6; d = k + 17; k = a + 1; o = y + 10. Given that w = 6, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 1 to d, which gives d = a + 18.\n2. Substitute a = l + 15 to d, which gives d = l + 33.\n3. Substitute l = c + 1 to d, which gives d = c + 34.\n4. Substitute c = j + 17 to d, which gives d = j + 51.\n5. Substitute j = w + 14 to d, which gives d = w + 65.\n6. Substitute w = 6 to d, which gives d = 71.\n\nThus, the final answer is d = \\boxed{71}.",
"index": 285,
"question": "Suppose a collection of variables is related by the following definitions: a = l + 15; p = m + 6; j = w + 14; y = x + 8; c = j + 17; m = g + 1; x = p + 8; l = c + 1; g = w + 3; w = 6; d = k + 17; k = a + 1; o = y + 10. Given that w = 6, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"c": "k + 19", "y": "c + 3", "f": "y + 8", "t": "f + 4", "w": "t + 6", "g": "w + 5", "l": "k + 1", "a": "l + 8", "p": "a + 10", "d": "p + 1", "s": "d + 14", "z": "s + 3", "k": 6}, "premises": {"k": 6}, "target": "g"}, "answer": {"steps": [["w", "t + 6", "t + 11"], ["t", "f + 4", "f + 15"], ["f", "y + 8", "y + 23"], ["y", "c + 3", "c + 26"], ["c", "k + 19", "k + 45"], ["k", 6, "51"]], "target_var_name": "g", "target_value": 51, "value_dict": {"k": 6}, "is_reverse": true}}
| 286
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = f + 4; k = 6; g = w + 5; c = k + 19; s = d + 14; a = l + 8; y = c + 3; z = s + 3; p = a + 10; f = y + 8; w = t + 6; l = k + 1; d = p + 1. If k = 6, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 6 to g, which gives g = t + 11.\n2. Substitute t = f + 4 to g, which gives g = f + 15.\n3. Substitute f = y + 8 to g, which gives g = y + 23.\n4. Substitute y = c + 3 to g, which gives g = c + 26.\n5. Substitute c = k + 19 to g, which gives g = k + 45.\n6. Substitute k = 6 to g, which gives g = 51.\n\nThus, the final answer is g = \\boxed{51}.",
"index": 286,
"question": "Consider a system of variables where each variable is defined as follows: t = f + 4; k = 6; g = w + 5; c = k + 19; s = d + 14; a = l + 8; y = c + 3; z = s + 3; p = a + 10; f = y + 8; w = t + 6; l = k + 1; d = p + 1. If k = 6, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 5", "w": "h + 16", "x": "w + 5", "c": "x + 2", "r": "c + 18", "g": "r + 3", "k": "o + 18", "i": "k + 20", "s": "i + 6", "d": "s + 7", "y": "d + 6", "u": "y + 2", "o": 8}, "premises": {"o": 8}, "target": "g"}, "answer": {"steps": [["h", "o + 5", 13], ["w", "h + 16", 29], ["x", "w + 5", 34], ["c", "x + 2", 36], ["r", "c + 18", 54], ["g", "r + 3", 57]], "target_var_name": "g", "target_value": 57, "value_dict": {"o": 8, "h": 13, "w": 29, "x": 34, "c": 36, "r": 54, "g": 57}, "is_reverse": false}}
| 287
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = o + 18; d = s + 7; y = d + 6; s = i + 6; g = r + 3; r = c + 18; h = o + 5; w = h + 16; c = x + 2; o = 8; x = w + 5; i = k + 20; u = y + 2. Given that o = 8, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = o + 5, which gives h = 13.\n2. Compute w using w = h + 16, which gives w = 29.\n3. Compute x using x = w + 5, which gives x = 34.\n4. Compute c using c = x + 2, which gives c = 36.\n5. Compute r using r = c + 18, which gives r = 54.\n6. Compute g using g = r + 3, which gives g = 57.\n\nThus, the final answer is g = \\boxed{57}.",
"index": 287,
"question": "Suppose a collection of variables is related by the following definitions: k = o + 18; d = s + 7; y = d + 6; s = i + 6; g = r + 3; r = c + 18; h = o + 5; w = h + 16; c = x + 2; o = 8; x = w + 5; i = k + 20; u = y + 2. Given that o = 8, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"x": "u + 18", "t": "x + 8", "f": "t + 11", "g": "f + 13", "d": "g + 19", "k": "d + 16", "y": "u + 17", "i": "y + 20", "m": "i + 15", "r": "m + 19", "b": "r + 3", "p": "b + 3", "u": 2}, "premises": {"u": 2}, "target": "k"}, "answer": {"steps": [["x", "u + 18", 20], ["t", "x + 8", 28], ["f", "t + 11", 39], ["g", "f + 13", 52], ["d", "g + 19", 71], ["k", "d + 16", 87]], "target_var_name": "k", "target_value": 87, "value_dict": {"u": 2, "x": 20, "t": 28, "f": 39, "g": 52, "d": 71, "k": 87}, "is_reverse": false}}
| 288
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = u + 17; m = i + 15; d = g + 19; r = m + 19; g = f + 13; t = x + 8; f = t + 11; u = 2; b = r + 3; p = b + 3; k = d + 16; x = u + 18; i = y + 20. If u = 2, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = u + 18, which gives x = 20.\n2. Compute t using t = x + 8, which gives t = 28.\n3. Compute f using f = t + 11, which gives f = 39.\n4. Compute g using g = f + 13, which gives g = 52.\n5. Compute d using d = g + 19, which gives d = 71.\n6. Compute k using k = d + 16, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 288,
"question": "Consider a system of variables where each variable is defined as follows: y = u + 17; m = i + 15; d = g + 19; r = m + 19; g = f + 13; t = x + 8; f = t + 11; u = 2; b = r + 3; p = b + 3; k = d + 16; x = u + 18; i = y + 20. If u = 2, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"a": "h + 5", "o": "a + 7", "p": "o + 1", "w": "p + 20", "m": "w + 12", "q": "m + 16", "d": "h + 13", "x": "d + 8", "f": "x + 12", "n": "f + 17", "s": "n + 1", "u": "s + 2", "h": 14}, "premises": {"h": 14}, "target": "q"}, "answer": {"steps": [["a", "h + 5", 19], ["o", "a + 7", 26], ["p", "o + 1", 27], ["w", "p + 20", 47], ["m", "w + 12", 59], ["q", "m + 16", 75]], "target_var_name": "q", "target_value": 75, "value_dict": {"h": 14, "a": 19, "o": 26, "p": 27, "w": 47, "m": 59, "q": 75}, "is_reverse": false}}
| 289
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = x + 12; o = a + 7; m = w + 12; n = f + 17; a = h + 5; u = s + 2; q = m + 16; h = 14; p = o + 1; s = n + 1; w = p + 20; d = h + 13; x = d + 8. Given that h = 14, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = h + 5, which gives a = 19.\n2. Compute o using o = a + 7, which gives o = 26.\n3. Compute p using p = o + 1, which gives p = 27.\n4. Compute w using w = p + 20, which gives w = 47.\n5. Compute m using m = w + 12, which gives m = 59.\n6. Compute q using q = m + 16, which gives q = 75.\n\nThus, the final answer is q = \\boxed{75}.",
"index": 289,
"question": "Suppose a collection of variables is related by the following definitions: f = x + 12; o = a + 7; m = w + 12; n = f + 17; a = h + 5; u = s + 2; q = m + 16; h = 14; p = o + 1; s = n + 1; w = p + 20; d = h + 13; x = d + 8. Given that h = 14, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"r": "p + 3", "b": "r + 6", "q": "b + 13", "y": "q + 7", "v": "y + 14", "m": "v + 6", "z": "p + 12", "w": "z + 2", "n": "w + 3", "h": "n + 13", "o": "h + 6", "c": "o + 16", "p": 9}, "premises": {"p": 9}, "target": "m"}, "answer": {"steps": [["v", "y + 14", "y + 20"], ["y", "q + 7", "q + 27"], ["q", "b + 13", "b + 40"], ["b", "r + 6", "r + 46"], ["r", "p + 3", "p + 49"], ["p", 9, "58"]], "target_var_name": "m", "target_value": 58, "value_dict": {"p": 9}, "is_reverse": true}}
| 290
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = 9; v = y + 14; z = p + 12; o = h + 6; n = w + 3; b = r + 6; r = p + 3; q = b + 13; c = o + 16; m = v + 6; w = z + 2; h = n + 13; y = q + 7. If p = 9, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 14 to m, which gives m = y + 20.\n2. Substitute y = q + 7 to m, which gives m = q + 27.\n3. Substitute q = b + 13 to m, which gives m = b + 40.\n4. Substitute b = r + 6 to m, which gives m = r + 46.\n5. Substitute r = p + 3 to m, which gives m = p + 49.\n6. Substitute p = 9 to m, which gives m = 58.\n\nThus, the final answer is m = \\boxed{58}.",
"index": 290,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = 9; v = y + 14; z = p + 12; o = h + 6; n = w + 3; b = r + 6; r = p + 3; q = b + 13; c = o + 16; m = v + 6; w = z + 2; h = n + 13; y = q + 7. If p = 9, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"f": "w + 13", "n": "f + 19", "s": "n + 13", "b": "s + 14", "r": "b + 2", "t": "r + 17", "o": "w + 11", "v": "o + 20", "k": "v + 20", "h": "k + 18", "d": "h + 18", "m": "d + 14", "w": 2}, "premises": {"w": 2}, "target": "t"}, "answer": {"steps": [["f", "w + 13", 15], ["n", "f + 19", 34], ["s", "n + 13", 47], ["b", "s + 14", 61], ["r", "b + 2", 63], ["t", "r + 17", 80]], "target_var_name": "t", "target_value": 80, "value_dict": {"w": 2, "f": 15, "n": 34, "s": 47, "b": 61, "r": 63, "t": 80}, "is_reverse": false}}
| 291
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = o + 20; s = n + 13; h = k + 18; d = h + 18; n = f + 19; o = w + 11; t = r + 17; w = 2; m = d + 14; k = v + 20; f = w + 13; r = b + 2; b = s + 14. If w = 2, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = w + 13, which gives f = 15.\n2. Compute n using n = f + 19, which gives n = 34.\n3. Compute s using s = n + 13, which gives s = 47.\n4. Compute b using b = s + 14, which gives b = 61.\n5. Compute r using r = b + 2, which gives r = 63.\n6. Compute t using t = r + 17, which gives t = 80.\n\nThus, the final answer is t = \\boxed{80}.",
"index": 291,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = o + 20; s = n + 13; h = k + 18; d = h + 18; n = f + 19; o = w + 11; t = r + 17; w = 2; m = d + 14; k = v + 20; f = w + 13; r = b + 2; b = s + 14. If w = 2, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"k": "u + 10", "r": "k + 12", "l": "r + 20", "j": "l + 16", "d": "j + 6", "i": "d + 8", "m": "u + 2", "g": "m + 18", "e": "g + 8", "w": "e + 18", "x": "w + 20", "h": "x + 9", "u": 10}, "premises": {"u": 10}, "target": "i"}, "answer": {"steps": [["d", "j + 6", "j + 14"], ["j", "l + 16", "l + 30"], ["l", "r + 20", "r + 50"], ["r", "k + 12", "k + 62"], ["k", "u + 10", "u + 72"], ["u", 10, "82"]], "target_var_name": "i", "target_value": 82, "value_dict": {"u": 10}, "is_reverse": true}}
| 292
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = u + 2; w = e + 18; l = r + 20; e = g + 8; g = m + 18; k = u + 10; i = d + 8; r = k + 12; x = w + 20; u = 10; h = x + 9; j = l + 16; d = j + 6. If u = 10, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 6 to i, which gives i = j + 14.\n2. Substitute j = l + 16 to i, which gives i = l + 30.\n3. Substitute l = r + 20 to i, which gives i = r + 50.\n4. Substitute r = k + 12 to i, which gives i = k + 62.\n5. Substitute k = u + 10 to i, which gives i = u + 72.\n6. Substitute u = 10 to i, which gives i = 82.\n\nThus, the final answer is i = \\boxed{82}.",
"index": 292,
"question": "Consider a system of variables where each variable is defined as follows: m = u + 2; w = e + 18; l = r + 20; e = g + 8; g = m + 18; k = u + 10; i = d + 8; r = k + 12; x = w + 20; u = 10; h = x + 9; j = l + 16; d = j + 6. If u = 10, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"j": "a + 10", "t": "j + 6", "g": "t + 16", "o": "g + 19", "z": "o + 6", "h": "z + 2", "n": "a + 3", "p": "n + 13", "k": "p + 20", "b": "k + 9", "q": "b + 18", "m": "q + 17", "a": 17}, "premises": {"a": 17}, "target": "h"}, "answer": {"steps": [["j", "a + 10", 27], ["t", "j + 6", 33], ["g", "t + 16", 49], ["o", "g + 19", 68], ["z", "o + 6", 74], ["h", "z + 2", 76]], "target_var_name": "h", "target_value": 76, "value_dict": {"a": 17, "j": 27, "t": 33, "g": 49, "o": 68, "z": 74, "h": 76}, "is_reverse": false}}
| 293
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = q + 17; p = n + 13; a = 17; t = j + 6; k = p + 20; h = z + 2; q = b + 18; b = k + 9; z = o + 6; j = a + 10; o = g + 19; g = t + 16; n = a + 3. Given that a = 17, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = a + 10, which gives j = 27.\n2. Compute t using t = j + 6, which gives t = 33.\n3. Compute g using g = t + 16, which gives g = 49.\n4. Compute o using o = g + 19, which gives o = 68.\n5. Compute z using z = o + 6, which gives z = 74.\n6. Compute h using h = z + 2, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 293,
"question": "Suppose a collection of variables is related by the following definitions: m = q + 17; p = n + 13; a = 17; t = j + 6; k = p + 20; h = z + 2; q = b + 18; b = k + 9; z = o + 6; j = a + 10; o = g + 19; g = t + 16; n = a + 3. Given that a = 17, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"x": "m + 5", "j": "x + 18", "z": "j + 2", "s": "z + 20", "k": "s + 11", "l": "k + 8", "o": "m + 6", "b": "o + 14", "i": "b + 3", "q": "i + 4", "w": "q + 5", "p": "w + 18", "m": 10}, "premises": {"m": 10}, "target": "l"}, "answer": {"steps": [["k", "s + 11", "s + 19"], ["s", "z + 20", "z + 39"], ["z", "j + 2", "j + 41"], ["j", "x + 18", "x + 59"], ["x", "m + 5", "m + 64"], ["m", 10, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"m": 10}, "is_reverse": true}}
| 294
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = m + 5; q = i + 4; s = z + 20; b = o + 14; i = b + 3; l = k + 8; w = q + 5; m = 10; k = s + 11; p = w + 18; z = j + 2; j = x + 18; o = m + 6. Given that m = 10, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 11 to l, which gives l = s + 19.\n2. Substitute s = z + 20 to l, which gives l = z + 39.\n3. Substitute z = j + 2 to l, which gives l = j + 41.\n4. Substitute j = x + 18 to l, which gives l = x + 59.\n5. Substitute x = m + 5 to l, which gives l = m + 64.\n6. Substitute m = 10 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 294,
"question": "Suppose a collection of variables is related by the following definitions: x = m + 5; q = i + 4; s = z + 20; b = o + 14; i = b + 3; l = k + 8; w = q + 5; m = 10; k = s + 11; p = w + 18; z = j + 2; j = x + 18; o = m + 6. Given that m = 10, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"t": "e + 14", "a": "t + 17", "b": "a + 3", "p": "b + 9", "m": "p + 6", "s": "m + 1", "j": "e + 11", "v": "j + 12", "y": "v + 4", "k": "y + 16", "d": "k + 19", "o": "d + 14", "e": 11}, "premises": {"e": 11}, "target": "s"}, "answer": {"steps": [["t", "e + 14", 25], ["a", "t + 17", 42], ["b", "a + 3", 45], ["p", "b + 9", 54], ["m", "p + 6", 60], ["s", "m + 1", 61]], "target_var_name": "s", "target_value": 61, "value_dict": {"e": 11, "t": 25, "a": 42, "b": 45, "p": 54, "m": 60, "s": 61}, "is_reverse": false}}
| 295
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = e + 14; m = p + 6; o = d + 14; d = k + 19; s = m + 1; a = t + 17; k = y + 16; e = 11; b = a + 3; y = v + 4; v = j + 12; p = b + 9; j = e + 11. Given that e = 11, find the 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. Compute t using t = e + 14, which gives t = 25.\n2. Compute a using a = t + 17, which gives a = 42.\n3. Compute b using b = a + 3, which gives b = 45.\n4. Compute p using p = b + 9, which gives p = 54.\n5. Compute m using m = p + 6, which gives m = 60.\n6. Compute s using s = m + 1, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 295,
"question": "Suppose a collection of variables is related by the following definitions: t = e + 14; m = p + 6; o = d + 14; d = k + 19; s = m + 1; a = t + 17; k = y + 16; e = 11; b = a + 3; y = v + 4; v = j + 12; p = b + 9; j = e + 11. Given that e = 11, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"b": "e + 18", "x": "b + 4", "c": "x + 15", "u": "c + 7", "l": "u + 5", "y": "l + 18", "a": "e + 10", "i": "a + 7", "t": "i + 11", "q": "t + 5", "k": "q + 11", "f": "k + 12", "e": 8}, "premises": {"e": 8}, "target": "y"}, "answer": {"steps": [["l", "u + 5", "u + 23"], ["u", "c + 7", "c + 30"], ["c", "x + 15", "x + 45"], ["x", "b + 4", "b + 49"], ["b", "e + 18", "e + 67"], ["e", 8, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"e": 8}, "is_reverse": true}}
| 296
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = x + 15; f = k + 12; u = c + 7; t = i + 11; k = q + 11; i = a + 7; e = 8; q = t + 5; l = u + 5; b = e + 18; y = l + 18; x = b + 4; a = e + 10. If e = 8, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 5 to y, which gives y = u + 23.\n2. Substitute u = c + 7 to y, which gives y = c + 30.\n3. Substitute c = x + 15 to y, which gives y = x + 45.\n4. Substitute x = b + 4 to y, which gives y = b + 49.\n5. Substitute b = e + 18 to y, which gives y = e + 67.\n6. Substitute e = 8 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 296,
"question": "Consider a system of variables where each variable is defined as follows: c = x + 15; f = k + 12; u = c + 7; t = i + 11; k = q + 11; i = a + 7; e = 8; q = t + 5; l = u + 5; b = e + 18; y = l + 18; x = b + 4; a = e + 10. If e = 8, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"l": "f + 16", "a": "l + 18", "d": "a + 7", "i": "d + 13", "c": "i + 14", "q": "c + 4", "j": "f + 9", "h": "j + 4", "o": "h + 17", "n": "o + 3", "g": "n + 19", "e": "g + 9", "f": 18}, "premises": {"f": 18}, "target": "q"}, "answer": {"steps": [["l", "f + 16", 34], ["a", "l + 18", 52], ["d", "a + 7", 59], ["i", "d + 13", 72], ["c", "i + 14", 86], ["q", "c + 4", 90]], "target_var_name": "q", "target_value": 90, "value_dict": {"f": 18, "l": 34, "a": 52, "d": 59, "i": 72, "c": 86, "q": 90}, "is_reverse": false}}
| 297
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = j + 4; f = 18; q = c + 4; a = l + 18; e = g + 9; d = a + 7; j = f + 9; g = n + 19; i = d + 13; c = i + 14; o = h + 17; l = f + 16; n = o + 3. If f = 18, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = f + 16, which gives l = 34.\n2. Compute a using a = l + 18, which gives a = 52.\n3. Compute d using d = a + 7, which gives d = 59.\n4. Compute i using i = d + 13, which gives i = 72.\n5. Compute c using c = i + 14, which gives c = 86.\n6. Compute q using q = c + 4, which gives q = 90.\n\nThus, the final answer is q = \\boxed{90}.",
"index": 297,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = j + 4; f = 18; q = c + 4; a = l + 18; e = g + 9; d = a + 7; j = f + 9; g = n + 19; i = d + 13; c = i + 14; o = h + 17; l = f + 16; n = o + 3. If f = 18, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"y": "m + 1", "a": "y + 11", "j": "a + 1", "l": "j + 15", "i": "l + 1", "n": "i + 2", "w": "m + 8", "e": "w + 12", "h": "e + 4", "x": "h + 4", "q": "x + 18", "c": "q + 7", "m": 7}, "premises": {"m": 7}, "target": "n"}, "answer": {"steps": [["y", "m + 1", 8], ["a", "y + 11", 19], ["j", "a + 1", 20], ["l", "j + 15", 35], ["i", "l + 1", 36], ["n", "i + 2", 38]], "target_var_name": "n", "target_value": 38, "value_dict": {"m": 7, "y": 8, "a": 19, "j": 20, "l": 35, "i": 36, "n": 38}, "is_reverse": false}}
| 298
| 0
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = j + 15; e = w + 12; n = i + 2; y = m + 1; a = y + 11; q = x + 18; h = e + 4; i = l + 1; x = h + 4; j = a + 1; m = 7; c = q + 7; w = m + 8. If m = 7, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 38,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = m + 1, which gives y = 8.\n2. Compute a using a = y + 11, which gives a = 19.\n3. Compute j using j = a + 1, which gives j = 20.\n4. Compute l using l = j + 15, which gives l = 35.\n5. Compute i using i = l + 1, which gives i = 36.\n6. Compute n using n = i + 2, which gives n = 38.\n\nThus, the final answer is n = \\boxed{38}.",
"index": 298,
"question": "Consider a system of variables where each variable is defined as follows: l = j + 15; e = w + 12; n = i + 2; y = m + 1; a = y + 11; q = x + 18; h = e + 4; i = l + 1; x = h + 4; j = a + 1; m = 7; c = q + 7; w = m + 8. If m = 7, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"h": "d + 16", "r": "h + 9", "p": "r + 13", "y": "p + 1", "g": "y + 17", "w": "g + 18", "q": "d + 19", "n": "q + 8", "b": "n + 7", "c": "b + 7", "o": "c + 16", "v": "o + 15", "d": 10}, "premises": {"d": 10}, "target": "w"}, "answer": {"steps": [["g", "y + 17", "y + 35"], ["y", "p + 1", "p + 36"], ["p", "r + 13", "r + 49"], ["r", "h + 9", "h + 58"], ["h", "d + 16", "d + 74"], ["d", 10, "84"]], "target_var_name": "w", "target_value": 84, "value_dict": {"d": 10}, "is_reverse": true}}
| 299
| 1
|
pathstar_2_7
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = b + 7; w = g + 18; o = c + 16; h = d + 16; q = d + 19; g = y + 17; d = 10; v = o + 15; b = n + 7; p = r + 13; n = q + 8; y = p + 1; r = h + 9. Given that d = 10, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 17 to w, which gives w = y + 35.\n2. Substitute y = p + 1 to w, which gives w = p + 36.\n3. Substitute p = r + 13 to w, which gives w = r + 49.\n4. Substitute r = h + 9 to w, which gives w = h + 58.\n5. Substitute h = d + 16 to w, which gives w = d + 74.\n6. Substitute d = 10 to w, which gives w = 84.\n\nThus, the final answer is w = \\boxed{84}.",
"index": 299,
"question": "Suppose a collection of variables is related by the following definitions: c = b + 7; w = g + 18; o = c + 16; h = d + 16; q = d + 19; g = y + 17; d = 10; v = o + 15; b = n + 7; p = r + 13; n = q + 8; y = p + 1; r = h + 9. Given that d = 10, find the value of w.",
"split": "train"
}
|
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