meta stringlengths 521 549 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1
value | data_source stringclasses 1
value | prompt listlengths 1 1 | ability stringclasses 1
value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"j": "w + 10", "a": "j + 6", "u": "a + 11", "s": "u + 15", "v": "s + 7", "n": "v + 20", "f": "w + 9", "d": "f + 7", "k": "d + 16", "x": "k + 12", "c": "x + 8", "m": "c + 5", "w": 9}, "premises": {"w": 9}, "target": "n"}, "answer": {"steps": [["j", "w + 10", 19], ["a", "j + 6", 25], ["u", "a + 11"... | 0 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = w + 10; u = a + 11; d = f + 7; x = k + 12; s = u + 15; n = v + 20; v = s + 7; a = j + 6; k = d + 16; f = w + 9; c = x + 8; m = c + 5; w = 9. If w = 9, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = w + 10, which gives j = 19.\n2. Compute a using a = j + 6, which gives a = 25.\n3. Compute u using u = a + 11, which gives u = 36.\n4. Compute s using s = u + 15, which gives s = 51.\n5. Compute v using v = s + 7, whic... |
{"problem": {"rules": {"c": "f + 13", "u": "c + 9", "v": "u + 9", "x": "v + 8", "s": "x + 10", "q": "s + 16", "e": "f + 9", "l": "e + 12", "z": "l + 12", "d": "z + 13", "h": "d + 14", "p": "h + 14", "f": 18}, "premises": {"f": 18}, "target": "q"}, "answer": {"steps": [["c", "f + 13", 31], ["u", "c + 9", 40], ["v", "u +... | 1 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 14; u = c + 9; x = v + 8; d = z + 13; q = s + 16; f = 18; c = f + 13; h = d + 14; l = e + 12; s = x + 10; z = l + 12; e = f + 9; v = u + 9. Given that f = 18, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = f + 13, which gives c = 31.\n2. Compute u using u = c + 9, which gives u = 40.\n3. Compute v using v = u + 9, which gives v = 49.\n4. Compute x using x = v + 8, which gives x = 57.\n5. Compute s using s = x + 10, which... |
{"problem": {"rules": {"k": "p + 12", "m": "k + 3", "d": "m + 4", "j": "d + 7", "i": "j + 9", "v": "i + 16", "a": "p + 6", "o": "a + 20", "e": "o + 6", "w": "e + 6", "r": "w + 15", "x": "r + 17", "p": 20}, "premises": {"p": 20}, "target": "v"}, "answer": {"steps": [["k", "p + 12", 32], ["m", "k + 3", 35], ["d", "m + 4"... | 2 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 20; x = r + 17; w = e + 6; i = j + 9; m = k + 3; k = p + 12; a = p + 6; d = m + 4; j = d + 7; e = o + 6; p = 20; r = w + 15; v = i + 16. If p = 20, what is the resulting value of v?",
"role": "user"... | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = p + 12, which gives k = 32.\n2. Compute m using m = k + 3, which gives m = 35.\n3. Compute d using d = m + 4, which gives d = 39.\n4. Compute j using j = d + 7, which gives j = 46.\n5. Compute i using i = j + 9, which ... |
{"problem": {"rules": {"m": "q + 13", "o": "m + 16", "f": "o + 19", "n": "f + 17", "d": "n + 16", "k": "d + 15", "l": "q + 15", "z": "l + 4", "t": "z + 10", "b": "t + 15", "p": "b + 19", "r": "p + 4", "q": 12}, "premises": {"q": 12}, "target": "k"}, "answer": {"steps": [["m", "q + 13", 25], ["o", "m + 16", 41], ["f", "... | 3 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 13; t = z + 10; b = t + 15; q = 12; d = n + 16; k = d + 15; o = m + 16; z = l + 4; p = b + 19; l = q + 15; n = f + 17; f = o + 19; r = p + 4. If q = 12, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = q + 13, which gives m = 25.\n2. Compute o using o = m + 16, which gives o = 41.\n3. Compute f using f = o + 19, which gives f = 60.\n4. Compute n using n = f + 17, which gives n = 77.\n5. Compute d using d = n + 16, wh... |
{"problem": {"rules": {"i": "t + 15", "j": "i + 15", "g": "j + 3", "x": "g + 11", "z": "x + 4", "e": "z + 12", "w": "t + 16", "n": "w + 18", "b": "n + 11", "r": "b + 14", "p": "r + 16", "o": "p + 18", "t": 19}, "premises": {"t": 19}, "target": "e"}, "answer": {"steps": [["i", "t + 15", 34], ["j", "i + 15", 49], ["g", "... | 4 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = z + 12; j = i + 15; x = g + 11; p = r + 16; i = t + 15; b = n + 11; g = j + 3; o = p + 18; w = t + 16; n = w + 18; z = x + 4; r = b + 14; t = 19. Given that t = 19, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = t + 15, which gives i = 34.\n2. Compute j using j = i + 15, which gives j = 49.\n3. Compute g using g = j + 3, which gives g = 52.\n4. Compute x using x = g + 11, which gives x = 63.\n5. Compute z using z = x + 4, whic... |
{"problem": {"rules": {"z": "k + 10", "f": "z + 20", "y": "f + 4", "w": "y + 13", "h": "w + 1", "j": "h + 7", "m": "k + 18", "e": "m + 13", "n": "e + 6", "c": "n + 17", "v": "c + 14", "l": "v + 7", "k": 4}, "premises": {"k": 4}, "target": "j"}, "answer": {"steps": [["z", "k + 10", 14], ["f", "z + 20", 34], ["y", "f + 4... | 5 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 4; m = k + 18; n = e + 6; e = m + 13; c = n + 17; w = y + 13; j = h + 7; f = z + 20; l = v + 7; y = f + 4; h = w + 1; v = c + 14; z = k + 10. Given that k = 4, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = k + 10, which gives z = 14.\n2. Compute f using f = z + 20, which gives f = 34.\n3. Compute y using y = f + 4, which gives y = 38.\n4. Compute w using w = y + 13, which gives w = 51.\n5. Compute h using h = w + 1, whic... |
{"problem": {"rules": {"s": "r + 16", "b": "s + 11", "t": "b + 14", "x": "t + 13", "f": "x + 16", "l": "f + 20", "d": "r + 13", "m": "d + 20", "w": "m + 19", "y": "w + 4", "e": "y + 20", "n": "e + 6", "r": 2}, "premises": {"r": 2}, "target": "l"}, "answer": {"steps": [["s", "r + 16", 18], ["b", "s + 11", 29], ["t", "b ... | 6 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = s + 11; y = w + 4; e = y + 20; l = f + 20; r = 2; s = r + 16; n = e + 6; f = x + 16; d = r + 13; m = d + 20; t = b + 14; w = m + 19; x = t + 13. If r = 2, what is the resulting value of l?",
"role": "us... | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = r + 16, which gives s = 18.\n2. Compute b using b = s + 11, which gives b = 29.\n3. Compute t using t = b + 14, which gives t = 43.\n4. Compute x using x = t + 13, which gives x = 56.\n5. Compute f using f = x + 16, wh... |
{"problem": {"rules": {"c": "y + 9", "u": "c + 13", "b": "u + 17", "j": "b + 18", "f": "j + 17", "h": "f + 15", "r": "y + 7", "z": "r + 2", "l": "z + 1", "w": "l + 10", "i": "w + 8", "e": "i + 9", "y": 10}, "premises": {"y": 10}, "target": "h"}, "answer": {"steps": [["c", "y + 9", 19], ["u", "c + 13", 32], ["b", "u + 1... | 7 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = b + 18; h = f + 15; u = c + 13; b = u + 17; e = i + 9; w = l + 10; c = y + 9; i = w + 8; y = 10; r = y + 7; f = j + 17; l = z + 1; z = r + 2. Given that y = 10, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = y + 9, which gives c = 19.\n2. Compute u using u = c + 13, which gives u = 32.\n3. Compute b using b = u + 17, which gives b = 49.\n4. Compute j using j = b + 18, which gives j = 67.\n5. Compute f using f = j + 17, whi... |
{"problem": {"rules": {"r": "c + 9", "b": "r + 3", "i": "b + 19", "k": "i + 11", "m": "k + 20", "t": "m + 5", "w": "c + 8", "d": "w + 17", "s": "d + 5", "q": "s + 17", "v": "q + 8", "p": "v + 3", "c": 8}, "premises": {"c": 8}, "target": "t"}, "answer": {"steps": [["r", "c + 9", 17], ["b", "r + 3", 20], ["i", "b + 19", ... | 8 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = c + 9; p = v + 3; w = c + 8; b = r + 3; k = i + 11; t = m + 5; d = w + 17; s = d + 5; c = 8; m = k + 20; i = b + 19; v = q + 8; q = s + 17. If c = 8, what is the resulting value of t?",
"role": "user"
... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = c + 9, which gives r = 17.\n2. Compute b using b = r + 3, which gives b = 20.\n3. Compute i using i = b + 19, which gives i = 39.\n4. Compute k using k = i + 11, which gives k = 50.\n5. Compute m using m = k + 20, whic... |
{"problem": {"rules": {"g": "h + 11", "j": "g + 7", "k": "j + 11", "e": "k + 11", "w": "e + 9", "f": "w + 13", "t": "h + 12", "i": "t + 10", "l": "i + 14", "c": "l + 11", "a": "c + 5", "s": "a + 1", "h": 18}, "premises": {"h": 18}, "target": "f"}, "answer": {"steps": [["g", "h + 11", 29], ["j", "g + 7", 36], ["k", "j +... | 9 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = e + 9; h = 18; f = w + 13; t = h + 12; g = h + 11; k = j + 11; e = k + 11; c = l + 11; i = t + 10; l = i + 14; a = c + 5; s = a + 1; j = g + 7. If h = 18, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = h + 11, which gives g = 29.\n2. Compute j using j = g + 7, which gives j = 36.\n3. Compute k using k = j + 11, which gives k = 47.\n4. Compute e using e = k + 11, which gives e = 58.\n5. Compute w using w = e + 9, whic... |
{"problem": {"rules": {"i": "f + 10", "k": "i + 7", "m": "k + 7", "v": "m + 13", "j": "v + 14", "o": "j + 20", "q": "f + 14", "u": "q + 8", "w": "u + 1", "a": "w + 15", "p": "a + 17", "c": "p + 6", "f": 5}, "premises": {"f": 5}, "target": "o"}, "answer": {"steps": [["i", "f + 10", 15], ["k", "i + 7", 22], ["m", "k + 7"... | 10 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 10; v = m + 13; w = u + 1; o = j + 20; u = q + 8; j = v + 14; a = w + 15; c = p + 6; p = a + 17; q = f + 14; m = k + 7; k = i + 7; f = 5. If f = 5, what is the resulting value of o?",
"role": "user"... | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = f + 10, which gives i = 15.\n2. Compute k using k = i + 7, which gives k = 22.\n3. Compute m using m = k + 7, which gives m = 29.\n4. Compute v using v = m + 13, which gives v = 42.\n5. Compute j using j = v + 14, whic... |
{"problem": {"rules": {"g": "h + 10", "c": "g + 4", "q": "c + 3", "i": "q + 6", "k": "i + 5", "r": "k + 17", "m": "h + 18", "z": "m + 9", "j": "z + 8", "a": "j + 15", "b": "a + 17", "w": "b + 3", "h": 2}, "premises": {"h": 2}, "target": "r"}, "answer": {"steps": [["g", "h + 10", 12], ["c", "g + 4", 16], ["q", "c + 3", ... | 11 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = a + 17; z = m + 9; c = g + 4; m = h + 18; r = k + 17; g = h + 10; k = i + 5; h = 2; w = b + 3; j = z + 8; a = j + 15; i = q + 6; q = c + 3. Given that h = 2, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = h + 10, which gives g = 12.\n2. Compute c using c = g + 4, which gives c = 16.\n3. Compute q using q = c + 3, which gives q = 19.\n4. Compute i using i = q + 6, which gives i = 25.\n5. Compute k using k = i + 5, which ... |
{"problem": {"rules": {"v": "p + 6", "r": "v + 5", "w": "r + 13", "m": "w + 5", "x": "m + 13", "k": "x + 1", "i": "p + 2", "d": "i + 4", "b": "d + 6", "e": "b + 8", "h": "e + 9", "n": "h + 18", "p": 4}, "premises": {"p": 4}, "target": "k"}, "answer": {"steps": [["v", "p + 6", 10], ["r", "v + 5", 15], ["w", "r + 13", 28... | 12 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 18; h = e + 9; m = w + 5; p = 4; b = d + 6; v = p + 6; i = p + 2; r = v + 5; e = b + 8; x = m + 13; w = r + 13; k = x + 1; d = i + 4. If p = 4, what is the resulting value of k?",
"role": "user"
}... | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = p + 6, which gives v = 10.\n2. Compute r using r = v + 5, which gives r = 15.\n3. Compute w using w = r + 13, which gives w = 28.\n4. Compute m using m = w + 5, which gives m = 33.\n5. Compute x using x = m + 13, which... |
{"problem": {"rules": {"l": "r + 20", "v": "l + 15", "j": "v + 12", "m": "j + 8", "y": "m + 20", "p": "y + 12", "w": "r + 8", "a": "w + 4", "x": "a + 5", "k": "x + 14", "n": "k + 10", "o": "n + 1", "r": 4}, "premises": {"r": 4}, "target": "p"}, "answer": {"steps": [["l", "r + 20", 24], ["v", "l + 15", 39], ["j", "v + 1... | 13 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 8; m = j + 8; o = n + 1; l = r + 20; k = x + 14; x = a + 5; a = w + 4; y = m + 20; v = l + 15; n = k + 10; p = y + 12; r = 4; j = v + 12. If r = 4, what is the resulting value of p?",
"role": "user"... | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = r + 20, which gives l = 24.\n2. Compute v using v = l + 15, which gives v = 39.\n3. Compute j using j = v + 12, which gives j = 51.\n4. Compute m using m = j + 8, which gives m = 59.\n5. Compute y using y = m + 20, whi... |
{"problem": {"rules": {"x": "t + 20", "j": "x + 17", "s": "j + 1", "v": "s + 18", "d": "v + 15", "a": "d + 2", "c": "t + 12", "w": "c + 11", "q": "w + 7", "m": "q + 5", "y": "m + 13", "z": "y + 9", "t": 20}, "premises": {"t": 20}, "target": "a"}, "answer": {"steps": [["x", "t + 20", 40], ["j", "x + 17", 57], ["s", "j +... | 14 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = t + 12; x = t + 20; d = v + 15; t = 20; a = d + 2; s = j + 1; m = q + 5; q = w + 7; v = s + 18; y = m + 13; z = y + 9; w = c + 11; j = x + 17. If t = 20, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = t + 20, which gives x = 40.\n2. Compute j using j = x + 17, which gives j = 57.\n3. Compute s using s = j + 1, which gives s = 58.\n4. Compute v using v = s + 18, which gives v = 76.\n5. Compute d using d = v + 15, whi... |
{"problem": {"rules": {"k": "i + 1", "r": "k + 9", "w": "r + 2", "t": "w + 20", "g": "t + 13", "y": "g + 12", "o": "i + 4", "b": "o + 10", "c": "b + 14", "l": "c + 2", "h": "l + 10", "z": "h + 16", "i": 1}, "premises": {"i": 1}, "target": "y"}, "answer": {"steps": [["k", "i + 1", 2], ["r", "k + 9", 11], ["w", "r + 2", ... | 15 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = b + 14; l = c + 2; b = o + 10; k = i + 1; y = g + 12; g = t + 13; t = w + 20; i = 1; h = l + 10; o = i + 4; r = k + 9; w = r + 2; z = h + 16. Given that i = 1, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = i + 1, which gives k = 2.\n2. Compute r using r = k + 9, which gives r = 11.\n3. Compute w using w = r + 2, which gives w = 13.\n4. Compute t using t = w + 20, which gives t = 33.\n5. Compute g using g = t + 13, which ... |
{"problem": {"rules": {"s": "j + 16", "d": "s + 13", "x": "d + 7", "n": "x + 20", "h": "n + 3", "k": "h + 12", "f": "j + 15", "y": "f + 6", "e": "y + 15", "q": "e + 12", "a": "q + 7", "z": "a + 15", "j": 6}, "premises": {"j": 6}, "target": "k"}, "answer": {"steps": [["s", "j + 16", 22], ["d", "s + 13", 35], ["x", "d + ... | 16 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = y + 15; s = j + 16; n = x + 20; j = 6; k = h + 12; z = a + 15; a = q + 7; y = f + 6; q = e + 12; d = s + 13; f = j + 15; x = d + 7; h = n + 3. Given that j = 6, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = j + 16, which gives s = 22.\n2. Compute d using d = s + 13, which gives d = 35.\n3. Compute x using x = d + 7, which gives x = 42.\n4. Compute n using n = x + 20, which gives n = 62.\n5. Compute h using h = n + 3, whic... |
{"problem": {"rules": {"p": "x + 9", "i": "p + 2", "u": "i + 3", "w": "u + 17", "v": "w + 1", "k": "v + 2", "e": "x + 12", "m": "e + 8", "n": "m + 1", "s": "n + 5", "j": "s + 19", "h": "j + 5", "x": 14}, "premises": {"x": 14}, "target": "k"}, "answer": {"steps": [["p", "x + 9", 23], ["i", "p + 2", 25], ["u", "i + 3", 2... | 17 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = e + 8; x = 14; u = i + 3; i = p + 2; v = w + 1; h = j + 5; k = v + 2; e = x + 12; j = s + 19; p = x + 9; n = m + 1; s = n + 5; w = u + 17. If x = 14, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = x + 9, which gives p = 23.\n2. Compute i using i = p + 2, which gives i = 25.\n3. Compute u using u = i + 3, which gives u = 28.\n4. Compute w using w = u + 17, which gives w = 45.\n5. Compute v using v = w + 1, which ... |
{"problem": {"rules": {"o": "m + 14", "v": "o + 12", "r": "v + 12", "q": "r + 19", "b": "q + 9", "x": "b + 18", "j": "m + 9", "w": "j + 1", "t": "w + 18", "p": "t + 16", "n": "p + 17", "u": "n + 17", "m": 13}, "premises": {"m": 13}, "target": "x"}, "answer": {"steps": [["o", "m + 14", 27], ["v", "o + 12", 39], ["r", "v... | 18 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = b + 18; v = o + 12; n = p + 17; t = w + 18; p = t + 16; u = n + 17; q = r + 19; r = v + 12; b = q + 9; j = m + 9; o = m + 14; m = 13; w = j + 1. Given that m = 13, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = m + 14, which gives o = 27.\n2. Compute v using v = o + 12, which gives v = 39.\n3. Compute r using r = v + 12, which gives r = 51.\n4. Compute q using q = r + 19, which gives q = 70.\n5. Compute b using b = q + 9, whi... |
{"problem": {"rules": {"d": "j + 2", "c": "d + 14", "f": "c + 14", "b": "f + 16", "q": "b + 11", "v": "q + 18", "m": "j + 19", "h": "m + 7", "u": "h + 13", "l": "u + 16", "i": "l + 2", "e": "i + 3", "j": 6}, "premises": {"j": 6}, "target": "v"}, "answer": {"steps": [["d", "j + 2", 8], ["c", "d + 14", 22], ["f", "c + 14... | 19 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = u + 16; i = l + 2; u = h + 13; d = j + 2; h = m + 7; f = c + 14; j = 6; q = b + 11; m = j + 19; b = f + 16; v = q + 18; c = d + 14; e = i + 3. If j = 6, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = j + 2, which gives d = 8.\n2. Compute c using c = d + 14, which gives c = 22.\n3. Compute f using f = c + 14, which gives f = 36.\n4. Compute b using b = f + 16, which gives b = 52.\n5. Compute q using q = b + 11, whic... |
{"problem": {"rules": {"v": "q + 19", "u": "v + 1", "i": "u + 19", "x": "i + 7", "j": "x + 4", "w": "j + 16", "r": "q + 19", "n": "r + 17", "l": "n + 13", "c": "l + 6", "g": "c + 1", "h": "g + 4", "q": 4}, "premises": {"q": 4}, "target": "w"}, "answer": {"steps": [["v", "q + 19", 23], ["u", "v + 1", 24], ["i", "u + 19"... | 20 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = r + 17; h = g + 4; g = c + 1; j = x + 4; c = l + 6; v = q + 19; r = q + 19; l = n + 13; q = 4; w = j + 16; i = u + 19; x = i + 7; u = v + 1. If q = 4, 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. Compute v using v = q + 19, which gives v = 23.\n2. Compute u using u = v + 1, which gives u = 24.\n3. Compute i using i = u + 19, which gives i = 43.\n4. Compute x using x = i + 7, which gives x = 50.\n5. Compute j using j = x + 4, which... |
{"problem": {"rules": {"z": "c + 19", "i": "z + 4", "n": "i + 3", "a": "n + 20", "r": "a + 1", "m": "r + 7", "p": "c + 12", "y": "p + 3", "u": "y + 10", "s": "u + 13", "h": "s + 20", "d": "h + 5", "c": 11}, "premises": {"c": 11}, "target": "m"}, "answer": {"steps": [["z", "c + 19", 30], ["i", "z + 4", 34], ["n", "i + 3... | 21 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = y + 10; a = n + 20; p = c + 12; h = s + 20; c = 11; z = c + 19; y = p + 3; d = h + 5; r = a + 1; i = z + 4; m = r + 7; n = i + 3; s = u + 13. If c = 11, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = c + 19, which gives z = 30.\n2. Compute i using i = z + 4, which gives i = 34.\n3. Compute n using n = i + 3, which gives n = 37.\n4. Compute a using a = n + 20, which gives a = 57.\n5. Compute r using r = a + 1, which... |
{"problem": {"rules": {"o": "w + 4", "d": "o + 20", "r": "d + 2", "t": "r + 8", "s": "t + 2", "i": "s + 9", "e": "w + 4", "c": "e + 6", "h": "c + 5", "l": "h + 16", "q": "l + 2", "a": "q + 8", "w": 20}, "premises": {"w": 20}, "target": "i"}, "answer": {"steps": [["o", "w + 4", 24], ["d", "o + 20", 44], ["r", "d + 2", 4... | 22 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = e + 6; s = t + 2; d = o + 20; o = w + 4; r = d + 2; e = w + 4; w = 20; a = q + 8; i = s + 9; t = r + 8; l = h + 16; h = c + 5; q = l + 2. If w = 20, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = w + 4, which gives o = 24.\n2. Compute d using d = o + 20, which gives d = 44.\n3. Compute r using r = d + 2, which gives r = 46.\n4. Compute t using t = r + 8, which gives t = 54.\n5. Compute s using s = t + 2, which ... |
{"problem": {"rules": {"x": "n + 19", "k": "x + 7", "d": "k + 16", "o": "d + 18", "c": "o + 19", "s": "c + 4", "v": "n + 16", "f": "v + 12", "r": "f + 18", "m": "r + 20", "t": "m + 3", "b": "t + 19", "n": 12}, "premises": {"n": 12}, "target": "s"}, "answer": {"steps": [["x", "n + 19", 31], ["k", "x + 7", 38], ["d", "k ... | 23 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = t + 19; n = 12; c = o + 19; d = k + 16; m = r + 20; t = m + 3; s = c + 4; o = d + 18; f = v + 12; x = n + 19; k = x + 7; v = n + 16; r = f + 18. If n = 12, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = n + 19, which gives x = 31.\n2. Compute k using k = x + 7, which gives k = 38.\n3. Compute d using d = k + 16, which gives d = 54.\n4. Compute o using o = d + 18, which gives o = 72.\n5. Compute c using c = o + 19, whi... |
{"problem": {"rules": {"h": "u + 15", "t": "h + 19", "y": "t + 18", "v": "y + 20", "b": "v + 12", "m": "b + 2", "s": "u + 5", "w": "s + 7", "d": "w + 3", "k": "d + 20", "n": "k + 9", "o": "n + 16", "u": 5}, "premises": {"u": 5}, "target": "m"}, "answer": {"steps": [["h", "u + 15", 20], ["t", "h + 19", 39], ["y", "t + 1... | 24 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 2; v = y + 20; u = 5; w = s + 7; h = u + 15; d = w + 3; k = d + 20; o = n + 16; t = h + 19; y = t + 18; n = k + 9; s = u + 5; b = v + 12. If u = 5, what is the resulting value of m?",
"role": "user"... | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = u + 15, which gives h = 20.\n2. Compute t using t = h + 19, which gives t = 39.\n3. Compute y using y = t + 18, which gives y = 57.\n4. Compute v using v = y + 20, which gives v = 77.\n5. Compute b using b = v + 12, wh... |
{"problem": {"rules": {"b": "j + 12", "p": "b + 1", "a": "p + 19", "l": "a + 10", "m": "l + 8", "y": "m + 16", "f": "j + 8", "d": "f + 10", "v": "d + 3", "h": "v + 13", "e": "h + 12", "k": "e + 13", "j": 9}, "premises": {"j": 9}, "target": "y"}, "answer": {"steps": [["b", "j + 12", 21], ["p", "b + 1", 22], ["a", "p + 1... | 25 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = l + 8; p = b + 1; b = j + 12; l = a + 10; e = h + 12; y = m + 16; d = f + 10; k = e + 13; a = p + 19; v = d + 3; j = 9; f = j + 8; h = v + 13. Given that j = 9, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = j + 12, which gives b = 21.\n2. Compute p using p = b + 1, which gives p = 22.\n3. Compute a using a = p + 19, which gives a = 41.\n4. Compute l using l = a + 10, which gives l = 51.\n5. Compute m using m = l + 8, whic... |
{"problem": {"rules": {"t": "e + 5", "p": "t + 3", "s": "p + 2", "c": "s + 9", "a": "c + 13", "u": "a + 3", "r": "e + 1", "n": "r + 11", "b": "n + 4", "i": "b + 15", "w": "i + 8", "k": "w + 3", "e": 14}, "premises": {"e": 14}, "target": "u"}, "answer": {"steps": [["t", "e + 5", 19], ["p", "t + 3", 22], ["s", "p + 2", 2... | 26 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = e + 5; a = c + 13; u = a + 3; c = s + 9; n = r + 11; w = i + 8; r = e + 1; e = 14; s = p + 2; p = t + 3; b = n + 4; k = w + 3; i = b + 15. If e = 14, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = e + 5, which gives t = 19.\n2. Compute p using p = t + 3, which gives p = 22.\n3. Compute s using s = p + 2, which gives s = 24.\n4. Compute c using c = s + 9, which gives c = 33.\n5. Compute a using a = c + 13, which ... |
{"problem": {"rules": {"g": "d + 13", "f": "g + 4", "j": "f + 16", "c": "j + 17", "l": "c + 6", "v": "l + 15", "o": "d + 14", "u": "o + 12", "i": "u + 2", "r": "i + 12", "p": "r + 7", "w": "p + 6", "d": 17}, "premises": {"d": 17}, "target": "v"}, "answer": {"steps": [["g", "d + 13", 30], ["f", "g + 4", 34], ["j", "f + ... | 27 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = l + 15; i = u + 2; u = o + 12; w = p + 6; r = i + 12; c = j + 17; p = r + 7; f = g + 4; d = 17; j = f + 16; l = c + 6; o = d + 14; g = d + 13. If d = 17, what is the resulting value of v?",
"role": "use... | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = d + 13, which gives g = 30.\n2. Compute f using f = g + 4, which gives f = 34.\n3. Compute j using j = f + 16, which gives j = 50.\n4. Compute c using c = j + 17, which gives c = 67.\n5. Compute l using l = c + 6, whic... |
{"problem": {"rules": {"i": "d + 4", "m": "i + 3", "j": "m + 13", "p": "j + 14", "u": "p + 13", "q": "u + 6", "k": "d + 11", "y": "k + 12", "r": "y + 12", "n": "r + 16", "x": "n + 1", "z": "x + 4", "d": 9}, "premises": {"d": 9}, "target": "q"}, "answer": {"steps": [["i", "d + 4", 13], ["m", "i + 3", 16], ["j", "m + 13"... | 28 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 12; z = x + 4; y = k + 12; p = j + 14; q = u + 6; j = m + 13; k = d + 11; n = r + 16; d = 9; x = n + 1; m = i + 3; i = d + 4; u = p + 13. If d = 9, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = d + 4, which gives i = 13.\n2. Compute m using m = i + 3, which gives m = 16.\n3. Compute j using j = m + 13, which gives j = 29.\n4. Compute p using p = j + 14, which gives p = 43.\n5. Compute u using u = p + 13, whic... |
{"problem": {"rules": {"e": "h + 13", "c": "e + 16", "i": "c + 5", "f": "i + 19", "g": "f + 10", "p": "g + 8", "x": "h + 4", "m": "x + 14", "j": "m + 15", "d": "j + 10", "z": "d + 15", "o": "z + 10", "h": 8}, "premises": {"h": 8}, "target": "p"}, "answer": {"steps": [["e", "h + 13", 21], ["c", "e + 16", 37], ["i", "c +... | 29 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = j + 10; g = f + 10; z = d + 15; j = m + 15; f = i + 19; e = h + 13; c = e + 16; p = g + 8; x = h + 4; i = c + 5; h = 8; m = x + 14; o = z + 10. If h = 8, what is the resulting value of p?",
"role": "use... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = h + 13, which gives e = 21.\n2. Compute c using c = e + 16, which gives c = 37.\n3. Compute i using i = c + 5, which gives i = 42.\n4. Compute f using f = i + 19, which gives f = 61.\n5. Compute g using g = f + 10, whi... |
{"problem": {"rules": {"v": "r + 11", "k": "v + 4", "u": "k + 14", "z": "u + 2", "j": "z + 19", "c": "j + 16", "p": "r + 3", "f": "p + 15", "y": "f + 18", "e": "y + 5", "a": "e + 2", "h": "a + 3", "r": 5}, "premises": {"r": 5}, "target": "c"}, "answer": {"steps": [["v", "r + 11", 16], ["k", "v + 4", 20], ["u", "k + 14"... | 30 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = e + 2; p = r + 3; c = j + 16; j = z + 19; u = k + 14; r = 5; v = r + 11; k = v + 4; z = u + 2; h = a + 3; f = p + 15; e = y + 5; y = f + 18. Given that r = 5, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = r + 11, which gives v = 16.\n2. Compute k using k = v + 4, which gives k = 20.\n3. Compute u using u = k + 14, which gives u = 34.\n4. Compute z using z = u + 2, which gives z = 36.\n5. Compute j using j = z + 19, whic... |
{"problem": {"rules": {"m": "u + 4", "w": "m + 19", "g": "w + 8", "d": "g + 13", "z": "d + 5", "o": "z + 4", "r": "u + 16", "t": "r + 14", "p": "t + 19", "f": "p + 5", "a": "f + 12", "l": "a + 7", "u": 15}, "premises": {"u": 15}, "target": "o"}, "answer": {"steps": [["m", "u + 4", 19], ["w", "m + 19", 38], ["g", "w + 8... | 31 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = m + 19; l = a + 7; a = f + 12; f = p + 5; z = d + 5; u = 15; p = t + 19; r = u + 16; d = g + 13; o = z + 4; t = r + 14; m = u + 4; g = w + 8. If u = 15, what is the resulting value of o?",
"role": "user... | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = u + 4, which gives m = 19.\n2. Compute w using w = m + 19, which gives w = 38.\n3. Compute g using g = w + 8, which gives g = 46.\n4. Compute d using d = g + 13, which gives d = 59.\n5. Compute z using z = d + 5, which... |
{"problem": {"rules": {"i": "p + 11", "n": "i + 7", "r": "n + 11", "m": "r + 16", "h": "m + 1", "s": "h + 9", "e": "p + 16", "l": "e + 6", "v": "l + 8", "t": "v + 9", "z": "t + 17", "k": "z + 10", "p": 19}, "premises": {"p": 19}, "target": "s"}, "answer": {"steps": [["i", "p + 11", 30], ["n", "i + 7", 37], ["r", "n + 1... | 32 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = m + 1; l = e + 6; r = n + 11; k = z + 10; m = r + 16; z = t + 17; i = p + 11; e = p + 16; s = h + 9; n = i + 7; v = l + 8; p = 19; t = v + 9. If p = 19, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = p + 11, which gives i = 30.\n2. Compute n using n = i + 7, which gives n = 37.\n3. Compute r using r = n + 11, which gives r = 48.\n4. Compute m using m = r + 16, which gives m = 64.\n5. Compute h using h = m + 1, whic... |
{"problem": {"rules": {"c": "y + 18", "g": "c + 8", "w": "g + 13", "x": "w + 2", "p": "x + 15", "l": "p + 20", "v": "y + 9", "h": "v + 10", "d": "h + 14", "i": "d + 15", "r": "i + 7", "s": "r + 8", "y": 9}, "premises": {"y": 9}, "target": "l"}, "answer": {"steps": [["c", "y + 18", 27], ["g", "c + 8", 35], ["w", "g + 13... | 33 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 15; h = v + 10; d = h + 14; p = x + 15; g = c + 8; x = w + 2; y = 9; w = g + 13; c = y + 18; v = y + 9; s = r + 8; l = p + 20; r = i + 7. If y = 9, what is the resulting value of l?",
"role": "user"... | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = y + 18, which gives c = 27.\n2. Compute g using g = c + 8, which gives g = 35.\n3. Compute w using w = g + 13, which gives w = 48.\n4. Compute x using x = w + 2, which gives x = 50.\n5. Compute p using p = x + 15, whic... |
{"problem": {"rules": {"u": "m + 17", "q": "u + 20", "p": "q + 14", "r": "p + 2", "g": "r + 2", "y": "g + 3", "s": "m + 3", "j": "s + 4", "i": "j + 19", "x": "i + 5", "z": "x + 2", "v": "z + 1", "m": 13}, "premises": {"m": 13}, "target": "y"}, "answer": {"steps": [["u", "m + 17", 30], ["q", "u + 20", 50], ["p", "q + 14... | 34 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = j + 19; u = m + 17; m = 13; r = p + 2; x = i + 5; g = r + 2; z = x + 2; p = q + 14; v = z + 1; s = m + 3; y = g + 3; j = s + 4; q = u + 20. Given that m = 13, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = m + 17, which gives u = 30.\n2. Compute q using q = u + 20, which gives q = 50.\n3. Compute p using p = q + 14, which gives p = 64.\n4. Compute r using r = p + 2, which gives r = 66.\n5. Compute g using g = r + 2, whic... |
{"problem": {"rules": {"k": "z + 10", "s": "k + 18", "r": "s + 18", "o": "r + 13", "u": "o + 15", "h": "u + 5", "n": "z + 16", "y": "n + 15", "x": "y + 5", "f": "x + 8", "p": "f + 9", "c": "p + 9", "z": 11}, "premises": {"z": 11}, "target": "h"}, "answer": {"steps": [["k", "z + 10", 21], ["s", "k + 18", 39], ["r", "s +... | 35 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = 11; u = o + 15; n = z + 16; s = k + 18; r = s + 18; p = f + 9; h = u + 5; k = z + 10; x = y + 5; c = p + 9; y = n + 15; o = r + 13; f = x + 8. Given that z = 11, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = z + 10, which gives k = 21.\n2. Compute s using s = k + 18, which gives s = 39.\n3. Compute r using r = s + 18, which gives r = 57.\n4. Compute o using o = r + 13, which gives o = 70.\n5. Compute u using u = o + 15, wh... |
{"problem": {"rules": {"b": "f + 2", "n": "b + 10", "e": "n + 7", "t": "e + 16", "l": "t + 7", "y": "l + 17", "p": "f + 17", "c": "p + 16", "d": "c + 16", "q": "d + 14", "i": "q + 17", "a": "i + 1", "f": 5}, "premises": {"f": 5}, "target": "y"}, "answer": {"steps": [["b", "f + 2", 7], ["n", "b + 10", 17], ["e", "n + 7"... | 36 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 17; n = b + 10; e = n + 7; p = f + 17; i = q + 17; f = 5; a = i + 1; c = p + 16; q = d + 14; l = t + 7; b = f + 2; d = c + 16; t = e + 16. If f = 5, what is the resulting value of y?",
"role": "user... | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = f + 2, which gives b = 7.\n2. Compute n using n = b + 10, which gives n = 17.\n3. Compute e using e = n + 7, which gives e = 24.\n4. Compute t using t = e + 16, which gives t = 40.\n5. Compute l using l = t + 7, which ... |
{"problem": {"rules": {"r": "v + 9", "o": "r + 5", "d": "o + 4", "a": "d + 2", "n": "a + 17", "z": "n + 14", "x": "v + 13", "w": "x + 6", "f": "w + 6", "m": "f + 12", "j": "m + 3", "q": "j + 15", "v": 1}, "premises": {"v": 1}, "target": "z"}, "answer": {"steps": [["r", "v + 9", 10], ["o", "r + 5", 15], ["d", "o + 4", 1... | 37 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = n + 14; r = v + 9; w = x + 6; o = r + 5; d = o + 4; f = w + 6; j = m + 3; m = f + 12; q = j + 15; n = a + 17; x = v + 13; v = 1; a = d + 2. If v = 1, what is the resulting value of z?",
"role": "user"
... | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = v + 9, which gives r = 10.\n2. Compute o using o = r + 5, which gives o = 15.\n3. Compute d using d = o + 4, which gives d = 19.\n4. Compute a using a = d + 2, which gives a = 21.\n5. Compute n using n = a + 17, which ... |
{"problem": {"rules": {"f": "b + 13", "k": "f + 19", "a": "k + 8", "w": "a + 14", "q": "w + 4", "e": "q + 13", "l": "b + 3", "v": "l + 9", "u": "v + 8", "t": "u + 17", "h": "t + 13", "m": "h + 20", "b": 2}, "premises": {"b": 2}, "target": "e"}, "answer": {"steps": [["f", "b + 13", 15], ["k", "f + 19", 34], ["a", "k + 8... | 38 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 3; h = t + 13; w = a + 14; q = w + 4; b = 2; m = h + 20; k = f + 19; e = q + 13; a = k + 8; t = u + 17; u = v + 8; f = b + 13; v = l + 9. If b = 2, 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. Compute f using f = b + 13, which gives f = 15.\n2. Compute k using k = f + 19, which gives k = 34.\n3. Compute a using a = k + 8, which gives a = 42.\n4. Compute w using w = a + 14, which gives w = 56.\n5. Compute q using q = w + 4, whic... |
{"problem": {"rules": {"u": "x + 5", "e": "u + 9", "o": "e + 6", "l": "o + 10", "m": "l + 2", "g": "m + 5", "s": "x + 4", "i": "s + 19", "w": "i + 1", "z": "w + 7", "c": "z + 5", "v": "c + 17", "x": 9}, "premises": {"x": 9}, "target": "g"}, "answer": {"steps": [["u", "x + 5", 14], ["e", "u + 9", 23], ["o", "e + 6", 29]... | 39 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = i + 1; s = x + 4; x = 9; z = w + 7; c = z + 5; e = u + 9; o = e + 6; m = l + 2; u = x + 5; v = c + 17; l = o + 10; i = s + 19; g = m + 5. Given that x = 9, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = x + 5, which gives u = 14.\n2. Compute e using e = u + 9, which gives e = 23.\n3. Compute o using o = e + 6, which gives o = 29.\n4. Compute l using l = o + 10, which gives l = 39.\n5. Compute m using m = l + 2, which ... |
{"problem": {"rules": {"w": "e + 6", "y": "w + 9", "z": "y + 9", "c": "z + 1", "v": "c + 20", "p": "v + 1", "a": "e + 20", "f": "a + 1", "h": "f + 17", "l": "h + 19", "u": "l + 10", "o": "u + 14", "e": 4}, "premises": {"e": 4}, "target": "p"}, "answer": {"steps": [["w", "e + 6", 10], ["y", "w + 9", 19], ["z", "y + 9", ... | 40 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = v + 1; c = z + 1; z = y + 9; v = c + 20; o = u + 14; e = 4; a = e + 20; f = a + 1; u = l + 10; l = h + 19; h = f + 17; w = e + 6; y = w + 9. If e = 4, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = e + 6, which gives w = 10.\n2. Compute y using y = w + 9, which gives y = 19.\n3. Compute z using z = y + 9, which gives z = 28.\n4. Compute c using c = z + 1, which gives c = 29.\n5. Compute v using v = c + 20, which ... |
{"problem": {"rules": {"g": "o + 9", "t": "g + 18", "c": "t + 7", "v": "c + 7", "z": "v + 13", "w": "z + 17", "b": "o + 8", "h": "b + 11", "d": "h + 6", "e": "d + 18", "q": "e + 10", "r": "q + 17", "o": 11}, "premises": {"o": 11}, "target": "w"}, "answer": {"steps": [["g", "o + 9", 20], ["t", "g + 18", 38], ["c", "t + ... | 41 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = t + 7; t = g + 18; z = v + 13; w = z + 17; q = e + 10; o = 11; b = o + 8; h = b + 11; g = o + 9; v = c + 7; r = q + 17; d = h + 6; e = d + 18. If o = 11, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = o + 9, which gives g = 20.\n2. Compute t using t = g + 18, which gives t = 38.\n3. Compute c using c = t + 7, which gives c = 45.\n4. Compute v using v = c + 7, which gives v = 52.\n5. Compute z using z = v + 13, which... |
{"problem": {"rules": {"w": "m + 7", "h": "w + 3", "c": "h + 8", "t": "c + 12", "f": "t + 12", "v": "f + 12", "k": "m + 5", "i": "k + 12", "e": "i + 10", "d": "e + 8", "y": "d + 15", "r": "y + 11", "m": 9}, "premises": {"m": 9}, "target": "v"}, "answer": {"steps": [["w", "m + 7", 16], ["h", "w + 3", 19], ["c", "h + 8",... | 42 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = y + 11; h = w + 3; t = c + 12; i = k + 12; c = h + 8; k = m + 5; d = e + 8; m = 9; w = m + 7; f = t + 12; y = d + 15; v = f + 12; e = i + 10. Given that m = 9, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = m + 7, which gives w = 16.\n2. Compute h using h = w + 3, which gives h = 19.\n3. Compute c using c = h + 8, which gives c = 27.\n4. Compute t using t = c + 12, which gives t = 39.\n5. Compute f using f = t + 12, which... |
{"problem": {"rules": {"e": "s + 11", "t": "e + 8", "l": "t + 18", "k": "l + 8", "q": "k + 1", "x": "q + 3", "v": "s + 1", "m": "v + 6", "u": "m + 12", "f": "u + 17", "g": "f + 18", "r": "g + 13", "s": 9}, "premises": {"s": 9}, "target": "x"}, "answer": {"steps": [["e", "s + 11", 20], ["t", "e + 8", 28], ["l", "t + 18"... | 43 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 18; t = e + 8; r = g + 13; v = s + 1; s = 9; x = q + 3; m = v + 6; q = k + 1; g = f + 18; e = s + 11; f = u + 17; u = m + 12; k = l + 8. If s = 9, what is the resulting value of x?",
"role": "user"
... | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = s + 11, which gives e = 20.\n2. Compute t using t = e + 8, which gives t = 28.\n3. Compute l using l = t + 18, which gives l = 46.\n4. Compute k using k = l + 8, which gives k = 54.\n5. Compute q using q = k + 1, which... |
{"problem": {"rules": {"q": "p + 11", "s": "q + 6", "i": "s + 19", "o": "i + 13", "m": "o + 11", "v": "m + 6", "c": "p + 3", "d": "c + 20", "b": "d + 2", "f": "b + 7", "a": "f + 10", "n": "a + 3", "p": 7}, "premises": {"p": 7}, "target": "v"}, "answer": {"steps": [["q", "p + 11", 18], ["s", "q + 6", 24], ["i", "s + 19"... | 44 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = d + 2; m = o + 11; a = f + 10; q = p + 11; c = p + 3; s = q + 6; i = s + 19; d = c + 20; v = m + 6; o = i + 13; n = a + 3; f = b + 7; p = 7. If p = 7, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = p + 11, which gives q = 18.\n2. Compute s using s = q + 6, which gives s = 24.\n3. Compute i using i = s + 19, which gives i = 43.\n4. Compute o using o = i + 13, which gives o = 56.\n5. Compute m using m = o + 11, whi... |
{"problem": {"rules": {"n": "q + 1", "m": "n + 18", "w": "m + 1", "u": "w + 19", "p": "u + 10", "c": "p + 15", "h": "q + 5", "b": "h + 6", "t": "b + 9", "f": "t + 5", "k": "f + 13", "y": "k + 17", "q": 2}, "premises": {"q": 2}, "target": "c"}, "answer": {"steps": [["n", "q + 1", 3], ["m", "n + 18", 21], ["w", "m + 1", ... | 45 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = w + 19; f = t + 5; k = f + 13; t = b + 9; y = k + 17; p = u + 10; c = p + 15; w = m + 1; h = q + 5; b = h + 6; q = 2; m = n + 18; n = q + 1. Given that q = 2, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = q + 1, which gives n = 3.\n2. Compute m using m = n + 18, which gives m = 21.\n3. Compute w using w = m + 1, which gives w = 22.\n4. Compute u using u = w + 19, which gives u = 41.\n5. Compute p using p = u + 10, which... |
{"problem": {"rules": {"g": "z + 4", "b": "g + 3", "s": "b + 15", "i": "s + 12", "l": "i + 13", "p": "l + 7", "u": "z + 1", "j": "u + 18", "c": "j + 18", "w": "c + 16", "f": "w + 18", "d": "f + 12", "z": 7}, "premises": {"z": 7}, "target": "p"}, "answer": {"steps": [["g", "z + 4", 11], ["b", "g + 3", 14], ["s", "b + 15... | 46 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = c + 16; b = g + 3; j = u + 18; z = 7; f = w + 18; g = z + 4; i = s + 12; p = l + 7; s = b + 15; l = i + 13; d = f + 12; c = j + 18; u = z + 1. Given that z = 7, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = z + 4, which gives g = 11.\n2. Compute b using b = g + 3, which gives b = 14.\n3. Compute s using s = b + 15, which gives s = 29.\n4. Compute i using i = s + 12, which gives i = 41.\n5. Compute l using l = i + 13, whic... |
{"problem": {"rules": {"z": "h + 2", "x": "z + 11", "j": "x + 15", "s": "j + 19", "q": "s + 15", "t": "q + 6", "e": "h + 12", "o": "e + 16", "g": "o + 7", "a": "g + 15", "i": "a + 10", "c": "i + 18", "h": 17}, "premises": {"h": 17}, "target": "t"}, "answer": {"steps": [["z", "h + 2", 19], ["x", "z + 11", 30], ["j", "x ... | 47 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 15; z = h + 2; o = e + 16; i = a + 10; c = i + 18; g = o + 7; e = h + 12; h = 17; t = q + 6; x = z + 11; a = g + 15; s = j + 19; q = s + 15. If h = 17, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = h + 2, which gives z = 19.\n2. Compute x using x = z + 11, which gives x = 30.\n3. Compute j using j = x + 15, which gives j = 45.\n4. Compute s using s = j + 19, which gives s = 64.\n5. Compute q using q = s + 15, whi... |
{"problem": {"rules": {"b": "s + 3", "n": "b + 15", "d": "n + 11", "a": "d + 18", "p": "a + 13", "t": "p + 13", "q": "s + 15", "k": "q + 1", "m": "k + 12", "z": "m + 15", "x": "z + 2", "y": "x + 14", "s": 5}, "premises": {"s": 5}, "target": "t"}, "answer": {"steps": [["b", "s + 3", 8], ["n", "b + 15", 23], ["d", "n + 1... | 48 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = 5; a = d + 18; m = k + 12; z = m + 15; x = z + 2; q = s + 15; y = x + 14; n = b + 15; d = n + 11; k = q + 1; p = a + 13; b = s + 3; t = p + 13. If s = 5, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = s + 3, which gives b = 8.\n2. Compute n using n = b + 15, which gives n = 23.\n3. Compute d using d = n + 11, which gives d = 34.\n4. Compute a using a = d + 18, which gives a = 52.\n5. Compute p using p = a + 13, whic... |
{"problem": {"rules": {"u": "b + 19", "r": "u + 4", "i": "r + 19", "k": "i + 8", "f": "k + 14", "w": "f + 1", "l": "b + 3", "t": "l + 8", "j": "t + 7", "z": "j + 3", "c": "z + 13", "p": "c + 10", "b": 3}, "premises": {"b": 3}, "target": "w"}, "answer": {"steps": [["u", "b + 19", 22], ["r", "u + 4", 26], ["i", "r + 19",... | 49 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = k + 14; b = 3; i = r + 19; w = f + 1; c = z + 13; u = b + 19; l = b + 3; t = l + 8; k = i + 8; z = j + 3; p = c + 10; j = t + 7; r = u + 4. If b = 3, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = b + 19, which gives u = 22.\n2. Compute r using r = u + 4, which gives r = 26.\n3. Compute i using i = r + 19, which gives i = 45.\n4. Compute k using k = i + 8, which gives k = 53.\n5. Compute f using f = k + 14, whic... |
{"problem": {"rules": {"t": "y + 15", "h": "t + 20", "d": "h + 3", "m": "d + 7", "p": "m + 8", "q": "p + 12", "f": "y + 12", "k": "f + 2", "n": "k + 7", "a": "n + 18", "u": "a + 11", "v": "u + 18", "y": 5}, "premises": {"y": 5}, "target": "q"}, "answer": {"steps": [["t", "y + 15", 20], ["h", "t + 20", 40], ["d", "h + 3... | 50 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = d + 7; a = n + 18; q = p + 12; d = h + 3; u = a + 11; k = f + 2; t = y + 15; v = u + 18; f = y + 12; h = t + 20; p = m + 8; n = k + 7; y = 5. Given that y = 5, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = y + 15, which gives t = 20.\n2. Compute h using h = t + 20, which gives h = 40.\n3. Compute d using d = h + 3, which gives d = 43.\n4. Compute m using m = d + 7, which gives m = 50.\n5. Compute p using p = m + 8, which... |
{"problem": {"rules": {"v": "i + 19", "x": "v + 1", "r": "x + 17", "y": "r + 17", "d": "y + 15", "l": "d + 5", "e": "i + 11", "p": "e + 10", "u": "p + 10", "z": "u + 9", "s": "z + 16", "m": "s + 14", "i": 8}, "premises": {"i": 8}, "target": "l"}, "answer": {"steps": [["v", "i + 19", 27], ["x", "v + 1", 28], ["r", "x + ... | 51 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = p + 10; v = i + 19; d = y + 15; r = x + 17; y = r + 17; e = i + 11; m = s + 14; i = 8; z = u + 9; x = v + 1; p = e + 10; l = d + 5; s = z + 16. Given that i = 8, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = i + 19, which gives v = 27.\n2. Compute x using x = v + 1, which gives x = 28.\n3. Compute r using r = x + 17, which gives r = 45.\n4. Compute y using y = r + 17, which gives y = 62.\n5. Compute d using d = y + 15, whi... |
{"problem": {"rules": {"n": "c + 1", "y": "n + 3", "b": "y + 5", "x": "b + 3", "k": "x + 1", "j": "k + 7", "e": "c + 14", "i": "e + 16", "d": "i + 2", "m": "d + 15", "s": "m + 9", "z": "s + 2", "c": 6}, "premises": {"c": 6}, "target": "j"}, "answer": {"steps": [["n", "c + 1", 7], ["y", "n + 3", 10], ["b", "y + 5", 15],... | 52 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = b + 3; m = d + 15; c = 6; y = n + 3; s = m + 9; n = c + 1; d = i + 2; i = e + 16; e = c + 14; k = x + 1; z = s + 2; j = k + 7; b = y + 5. Given that c = 6, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 26,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = c + 1, which gives n = 7.\n2. Compute y using y = n + 3, which gives y = 10.\n3. Compute b using b = y + 5, which gives b = 15.\n4. Compute x using x = b + 3, which gives x = 18.\n5. Compute k using k = x + 1, which gi... |
{"problem": {"rules": {"t": "v + 16", "m": "t + 14", "x": "m + 15", "j": "x + 19", "a": "j + 15", "u": "a + 8", "f": "v + 19", "w": "f + 12", "z": "w + 10", "o": "z + 5", "r": "o + 16", "h": "r + 20", "v": 3}, "premises": {"v": 3}, "target": "u"}, "answer": {"steps": [["t", "v + 16", 19], ["m", "t + 14", 33], ["x", "m ... | 53 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = a + 8; w = f + 12; t = v + 16; h = r + 20; a = j + 15; z = w + 10; v = 3; j = x + 19; m = t + 14; x = m + 15; r = o + 16; o = z + 5; f = v + 19. If v = 3, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = v + 16, which gives t = 19.\n2. Compute m using m = t + 14, which gives m = 33.\n3. Compute x using x = m + 15, which gives x = 48.\n4. Compute j using j = x + 19, which gives j = 67.\n5. Compute a using a = j + 15, wh... |
{"problem": {"rules": {"e": "m + 3", "h": "e + 20", "k": "h + 3", "r": "k + 1", "s": "r + 17", "j": "s + 16", "g": "m + 3", "u": "g + 10", "b": "u + 16", "n": "b + 7", "d": "n + 13", "i": "d + 12", "m": 1}, "premises": {"m": 1}, "target": "j"}, "answer": {"steps": [["e", "m + 3", 4], ["h", "e + 20", 24], ["k", "h + 3",... | 54 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = 1; k = h + 3; h = e + 20; d = n + 13; i = d + 12; u = g + 10; j = s + 16; r = k + 1; b = u + 16; e = m + 3; g = m + 3; s = r + 17; n = b + 7. If m = 1, what is the resulting value of j?",
"role": "user"... | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = m + 3, which gives e = 4.\n2. Compute h using h = e + 20, which gives h = 24.\n3. Compute k using k = h + 3, which gives k = 27.\n4. Compute r using r = k + 1, which gives r = 28.\n5. Compute s using s = r + 17, which ... |
{"problem": {"rules": {"s": "w + 6", "r": "s + 8", "u": "r + 9", "t": "u + 20", "f": "t + 18", "z": "f + 5", "l": "w + 12", "p": "l + 14", "h": "p + 4", "c": "h + 13", "a": "c + 3", "x": "a + 5", "w": 8}, "premises": {"w": 8}, "target": "z"}, "answer": {"steps": [["s", "w + 6", 14], ["r", "s + 8", 22], ["u", "r + 9", 3... | 55 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = w + 6; a = c + 3; p = l + 14; f = t + 18; h = p + 4; r = s + 8; x = a + 5; w = 8; t = u + 20; u = r + 9; c = h + 13; z = f + 5; l = w + 12. Given that w = 8, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = w + 6, which gives s = 14.\n2. Compute r using r = s + 8, which gives r = 22.\n3. Compute u using u = r + 9, which gives u = 31.\n4. Compute t using t = u + 20, which gives t = 51.\n5. Compute f using f = t + 18, which... |
{"problem": {"rules": {"k": "h + 18", "n": "k + 16", "g": "n + 6", "u": "g + 12", "x": "u + 3", "a": "x + 17", "v": "h + 2", "b": "v + 16", "q": "b + 2", "z": "q + 3", "t": "z + 18", "w": "t + 18", "h": 13}, "premises": {"h": 13}, "target": "a"}, "answer": {"steps": [["k", "h + 18", 31], ["n", "k + 16", 47], ["g", "n +... | 56 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = h + 18; h = 13; u = g + 12; a = x + 17; z = q + 3; v = h + 2; b = v + 16; w = t + 18; x = u + 3; g = n + 6; t = z + 18; n = k + 16; q = b + 2. Given that h = 13, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = h + 18, which gives k = 31.\n2. Compute n using n = k + 16, which gives n = 47.\n3. Compute g using g = n + 6, which gives g = 53.\n4. Compute u using u = g + 12, which gives u = 65.\n5. Compute x using x = u + 3, whic... |
{"problem": {"rules": {"d": "q + 1", "h": "d + 17", "e": "h + 17", "k": "e + 19", "j": "k + 10", "b": "j + 6", "z": "q + 6", "i": "z + 5", "v": "i + 2", "g": "v + 13", "t": "g + 20", "w": "t + 14", "q": 3}, "premises": {"q": 3}, "target": "b"}, "answer": {"steps": [["d", "q + 1", 4], ["h", "d + 17", 21], ["e", "h + 17"... | 57 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = 3; w = t + 14; e = h + 17; d = q + 1; g = v + 13; v = i + 2; z = q + 6; k = e + 19; i = z + 5; j = k + 10; t = g + 20; b = j + 6; h = d + 17. If q = 3, what is the resulting value of b?",
"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 = q + 1, which gives d = 4.\n2. Compute h using h = d + 17, which gives h = 21.\n3. Compute e using e = h + 17, which gives e = 38.\n4. Compute k using k = e + 19, which gives k = 57.\n5. Compute j using j = k + 10, whic... |
{"problem": {"rules": {"q": "e + 11", "u": "q + 19", "a": "u + 18", "f": "a + 3", "d": "f + 11", "g": "d + 1", "o": "e + 3", "j": "o + 8", "t": "j + 10", "n": "t + 17", "s": "n + 14", "m": "s + 6", "e": 11}, "premises": {"e": 11}, "target": "g"}, "answer": {"steps": [["q", "e + 11", 22], ["u", "q + 19", 41], ["a", "u +... | 58 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = o + 8; s = n + 14; n = t + 17; a = u + 18; e = 11; f = a + 3; q = e + 11; o = e + 3; d = f + 11; m = s + 6; u = q + 19; t = j + 10; g = d + 1. If e = 11, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = e + 11, which gives q = 22.\n2. Compute u using u = q + 19, which gives u = 41.\n3. Compute a using a = u + 18, which gives a = 59.\n4. Compute f using f = a + 3, which gives f = 62.\n5. Compute d using d = f + 11, whi... |
{"problem": {"rules": {"g": "f + 5", "d": "g + 3", "o": "d + 19", "s": "o + 14", "b": "s + 3", "t": "b + 4", "r": "f + 16", "a": "r + 14", "l": "a + 9", "p": "l + 2", "j": "p + 3", "q": "j + 20", "f": 13}, "premises": {"f": 13}, "target": "t"}, "answer": {"steps": [["g", "f + 5", 18], ["d", "g + 3", 21], ["o", "d + 19"... | 59 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = a + 9; s = o + 14; p = l + 2; q = j + 20; d = g + 3; r = f + 16; o = d + 19; j = p + 3; f = 13; t = b + 4; b = s + 3; a = r + 14; g = f + 5. Given that f = 13, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = f + 5, which gives g = 18.\n2. Compute d using d = g + 3, which gives d = 21.\n3. Compute o using o = d + 19, which gives o = 40.\n4. Compute s using s = o + 14, which gives s = 54.\n5. Compute b using b = s + 3, which... |
{"problem": {"rules": {"b": "z + 7", "p": "b + 18", "y": "p + 2", "q": "y + 3", "w": "q + 20", "k": "w + 4", "v": "z + 19", "f": "v + 17", "d": "f + 5", "i": "d + 15", "a": "i + 9", "u": "a + 9", "z": 18}, "premises": {"z": 18}, "target": "k"}, "answer": {"steps": [["b", "z + 7", 25], ["p", "b + 18", 43], ["y", "p + 2"... | 60 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 9; v = z + 19; b = z + 7; q = y + 3; y = p + 2; k = w + 4; a = i + 9; f = v + 17; z = 18; w = q + 20; d = f + 5; i = d + 15; p = b + 18. If z = 18, what is the resulting value of k?",
"role": "user"... | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = z + 7, which gives b = 25.\n2. Compute p using p = b + 18, which gives p = 43.\n3. Compute y using y = p + 2, which gives y = 45.\n4. Compute q using q = y + 3, which gives q = 48.\n5. Compute w using w = q + 20, which... |
{"problem": {"rules": {"a": "s + 5", "u": "a + 4", "r": "u + 11", "z": "r + 20", "t": "z + 15", "n": "t + 11", "y": "s + 3", "k": "y + 5", "x": "k + 19", "j": "x + 17", "l": "j + 8", "f": "l + 16", "s": 16}, "premises": {"s": 16}, "target": "n"}, "answer": {"steps": [["a", "s + 5", 21], ["u", "a + 4", 25], ["r", "u + 1... | 61 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 5; u = a + 4; a = s + 5; l = j + 8; r = u + 11; t = z + 15; z = r + 20; s = 16; j = x + 17; y = s + 3; f = l + 16; n = t + 11; x = k + 19. If s = 16, what is the resulting value of n?",
"role": "use... | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = s + 5, which gives a = 21.\n2. Compute u using u = a + 4, which gives u = 25.\n3. Compute r using r = u + 11, which gives r = 36.\n4. Compute z using z = r + 20, which gives z = 56.\n5. Compute t using t = z + 15, whic... |
{"problem": {"rules": {"h": "j + 9", "k": "h + 19", "w": "k + 10", "f": "w + 2", "l": "f + 8", "p": "l + 7", "g": "j + 16", "a": "g + 7", "i": "a + 13", "y": "i + 11", "b": "y + 5", "z": "b + 5", "j": 7}, "premises": {"j": 7}, "target": "p"}, "answer": {"steps": [["h", "j + 9", 16], ["k", "h + 19", 35], ["w", "k + 10",... | 62 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = h + 19; l = f + 8; f = w + 2; h = j + 9; b = y + 5; j = 7; a = g + 7; g = j + 16; i = a + 13; z = b + 5; w = k + 10; y = i + 11; p = l + 7. If j = 7, what is the resulting value of p?",
"role": "user"
... | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = j + 9, which gives h = 16.\n2. Compute k using k = h + 19, which gives k = 35.\n3. Compute w using w = k + 10, which gives w = 45.\n4. Compute f using f = w + 2, which gives f = 47.\n5. Compute l using l = f + 8, which... |
{"problem": {"rules": {"x": "n + 9", "t": "x + 6", "f": "t + 16", "b": "f + 15", "r": "b + 8", "y": "r + 2", "g": "n + 15", "a": "g + 11", "e": "a + 6", "u": "e + 2", "h": "u + 1", "v": "h + 16", "n": 10}, "premises": {"n": 10}, "target": "y"}, "answer": {"steps": [["x", "n + 9", 19], ["t", "x + 6", 25], ["f", "t + 16"... | 63 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = b + 8; h = u + 1; v = h + 16; f = t + 16; t = x + 6; y = r + 2; n = 10; u = e + 2; e = a + 6; x = n + 9; g = n + 15; b = f + 15; a = g + 11. If n = 10, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = n + 9, which gives x = 19.\n2. Compute t using t = x + 6, which gives t = 25.\n3. Compute f using f = t + 16, which gives f = 41.\n4. Compute b using b = f + 15, which gives b = 56.\n5. Compute r using r = b + 8, which... |
{"problem": {"rules": {"m": "f + 17", "n": "m + 2", "y": "n + 12", "z": "y + 6", "t": "z + 19", "g": "t + 6", "k": "f + 17", "j": "k + 15", "l": "j + 8", "r": "l + 6", "u": "r + 9", "q": "u + 12", "f": 8}, "premises": {"f": 8}, "target": "g"}, "answer": {"steps": [["m", "f + 17", 25], ["n", "m + 2", 27], ["y", "n + 12"... | 64 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = m + 2; q = u + 12; t = z + 19; k = f + 17; z = y + 6; j = k + 15; l = j + 8; g = t + 6; f = 8; m = f + 17; u = r + 9; r = l + 6; y = n + 12. Given that f = 8, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = f + 17, which gives m = 25.\n2. Compute n using n = m + 2, which gives n = 27.\n3. Compute y using y = n + 12, which gives y = 39.\n4. Compute z using z = y + 6, which gives z = 45.\n5. Compute t using t = z + 19, whic... |
{"problem": {"rules": {"o": "b + 15", "z": "o + 14", "f": "z + 20", "p": "f + 5", "s": "p + 16", "x": "s + 10", "y": "b + 16", "e": "y + 8", "k": "e + 15", "q": "k + 12", "n": "q + 10", "h": "n + 13", "b": 11}, "premises": {"b": 11}, "target": "x"}, "answer": {"steps": [["o", "b + 15", 26], ["z", "o + 14", 40], ["f", "... | 65 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = b + 16; n = q + 10; x = s + 10; z = o + 14; h = n + 13; b = 11; p = f + 5; e = y + 8; s = p + 16; q = k + 12; f = z + 20; o = b + 15; k = e + 15. If b = 11, what is the resulting value of x?",
"role": "... | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = b + 15, which gives o = 26.\n2. Compute z using z = o + 14, which gives z = 40.\n3. Compute f using f = z + 20, which gives f = 60.\n4. Compute p using p = f + 5, which gives p = 65.\n5. Compute s using s = p + 16, whi... |
{"problem": {"rules": {"g": "b + 13", "n": "g + 4", "w": "n + 5", "d": "w + 20", "p": "d + 18", "y": "p + 6", "a": "b + 16", "z": "a + 6", "i": "z + 5", "q": "i + 1", "l": "q + 9", "f": "l + 13", "b": 8}, "premises": {"b": 8}, "target": "y"}, "answer": {"steps": [["g", "b + 13", 21], ["n", "g + 4", 25], ["w", "n + 5", ... | 66 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = l + 13; z = a + 6; b = 8; n = g + 4; p = d + 18; w = n + 5; g = b + 13; y = p + 6; l = q + 9; a = b + 16; i = z + 5; q = i + 1; d = w + 20. If b = 8, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = b + 13, which gives g = 21.\n2. Compute n using n = g + 4, which gives n = 25.\n3. Compute w using w = n + 5, which gives w = 30.\n4. Compute d using d = w + 20, which gives d = 50.\n5. Compute p using p = d + 18, whic... |
{"problem": {"rules": {"t": "g + 12", "y": "t + 6", "z": "y + 6", "u": "z + 10", "a": "u + 9", "x": "a + 16", "d": "g + 8", "v": "d + 15", "n": "v + 14", "q": "n + 16", "f": "q + 20", "m": "f + 6", "g": 19}, "premises": {"g": 19}, "target": "x"}, "answer": {"steps": [["t", "g + 12", 31], ["y", "t + 6", 37], ["z", "y + ... | 67 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = q + 20; d = g + 8; m = f + 6; a = u + 9; q = n + 16; y = t + 6; v = d + 15; g = 19; u = z + 10; x = a + 16; z = y + 6; n = v + 14; t = g + 12. If g = 19, what is the resulting value of x?",
"role": "use... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = g + 12, which gives t = 31.\n2. Compute y using y = t + 6, which gives y = 37.\n3. Compute z using z = y + 6, which gives z = 43.\n4. Compute u using u = z + 10, which gives u = 53.\n5. Compute a using a = u + 9, which... |
{"problem": {"rules": {"c": "e + 10", "b": "c + 1", "p": "b + 11", "x": "p + 6", "q": "x + 13", "d": "q + 19", "a": "e + 15", "f": "a + 2", "l": "f + 14", "n": "l + 8", "z": "n + 20", "k": "z + 18", "e": 15}, "premises": {"e": 15}, "target": "d"}, "answer": {"steps": [["c", "e + 10", 25], ["b", "c + 1", 26], ["p", "b +... | 68 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 14; f = a + 2; x = p + 6; c = e + 10; q = x + 13; n = l + 8; b = c + 1; d = q + 19; e = 15; z = n + 20; a = e + 15; k = z + 18; p = b + 11. If e = 15, what is the resulting value of d?",
"role": "us... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = e + 10, which gives c = 25.\n2. Compute b using b = c + 1, which gives b = 26.\n3. Compute p using p = b + 11, which gives p = 37.\n4. Compute x using x = p + 6, which gives x = 43.\n5. Compute q using q = x + 13, whic... |
{"problem": {"rules": {"y": "r + 4", "d": "y + 5", "h": "d + 11", "o": "h + 1", "f": "o + 11", "a": "f + 9", "k": "r + 16", "x": "k + 1", "g": "x + 17", "w": "g + 9", "l": "w + 12", "t": "l + 14", "r": 1}, "premises": {"r": 1}, "target": "a"}, "answer": {"steps": [["y", "r + 4", 5], ["d", "y + 5", 10], ["h", "d + 11", ... | 69 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = r + 16; h = d + 11; g = x + 17; w = g + 9; y = r + 4; a = f + 9; o = h + 1; x = k + 1; l = w + 12; d = y + 5; t = l + 14; r = 1; f = o + 11. Given that r = 1, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = r + 4, which gives y = 5.\n2. Compute d using d = y + 5, which gives d = 10.\n3. Compute h using h = d + 11, which gives h = 21.\n4. Compute o using o = h + 1, which gives o = 22.\n5. Compute f using f = o + 11, which ... |
{"problem": {"rules": {"h": "j + 14", "t": "h + 11", "p": "t + 3", "a": "p + 13", "u": "a + 13", "x": "u + 6", "m": "j + 9", "r": "m + 11", "l": "r + 6", "z": "l + 1", "b": "z + 16", "d": "b + 13", "j": 2}, "premises": {"j": 2}, "target": "x"}, "answer": {"steps": [["h", "j + 14", 16], ["t", "h + 11", 27], ["p", "t + 3... | 70 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = t + 3; t = h + 11; z = l + 1; a = p + 13; b = z + 16; m = j + 9; u = a + 13; j = 2; d = b + 13; r = m + 11; l = r + 6; h = j + 14; x = u + 6. Given that j = 2, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = j + 14, which gives h = 16.\n2. Compute t using t = h + 11, which gives t = 27.\n3. Compute p using p = t + 3, which gives p = 30.\n4. Compute a using a = p + 13, which gives a = 43.\n5. Compute u using u = a + 13, whi... |
{"problem": {"rules": {"b": "w + 4", "y": "b + 8", "o": "y + 2", "q": "o + 1", "v": "q + 14", "k": "v + 7", "m": "w + 4", "x": "m + 8", "r": "x + 14", "u": "r + 6", "n": "u + 9", "f": "n + 11", "w": 10}, "premises": {"w": 10}, "target": "k"}, "answer": {"steps": [["b", "w + 4", 14], ["y", "b + 8", 22], ["o", "y + 2", 2... | 71 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 6; x = m + 8; o = y + 2; q = o + 1; r = x + 14; w = 10; k = v + 7; y = b + 8; m = w + 4; b = w + 4; v = q + 14; f = n + 11; n = u + 9. If w = 10, what is the resulting value of k?",
"role": "user"
... | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = w + 4, which gives b = 14.\n2. Compute y using y = b + 8, which gives y = 22.\n3. Compute o using o = y + 2, which gives o = 24.\n4. Compute q using q = o + 1, which gives q = 25.\n5. Compute v using v = q + 14, which ... |
{"problem": {"rules": {"u": "b + 4", "r": "u + 4", "x": "r + 15", "z": "x + 16", "w": "z + 20", "y": "w + 15", "p": "b + 13", "l": "p + 10", "g": "l + 11", "j": "g + 1", "c": "j + 20", "o": "c + 9", "b": 3}, "premises": {"b": 3}, "target": "y"}, "answer": {"steps": [["u", "b + 4", 7], ["r", "u + 4", 11], ["x", "r + 15"... | 72 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 15; b = 3; r = u + 4; j = g + 1; p = b + 13; l = p + 10; o = c + 9; z = x + 16; u = b + 4; c = j + 20; g = l + 11; w = z + 20; y = w + 15. If b = 3, what is the resulting value of y?",
"role": "user... | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = b + 4, which gives u = 7.\n2. Compute r using r = u + 4, which gives r = 11.\n3. Compute x using x = r + 15, which gives x = 26.\n4. Compute z using z = x + 16, which gives z = 42.\n5. Compute w using w = z + 20, which... |
{"problem": {"rules": {"f": "m + 20", "r": "f + 12", "d": "r + 6", "x": "d + 15", "t": "x + 7", "n": "t + 7", "l": "m + 6", "g": "l + 2", "u": "g + 13", "p": "u + 15", "s": "p + 14", "h": "s + 8", "m": 17}, "premises": {"m": 17}, "target": "n"}, "answer": {"steps": [["f", "m + 20", 37], ["r", "f + 12", 49], ["d", "r + ... | 73 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = r + 6; n = t + 7; s = p + 14; u = g + 13; m = 17; t = x + 7; p = u + 15; f = m + 20; x = d + 15; r = f + 12; g = l + 2; l = m + 6; h = s + 8. Given that m = 17, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = m + 20, which gives f = 37.\n2. Compute r using r = f + 12, which gives r = 49.\n3. Compute d using d = r + 6, which gives d = 55.\n4. Compute x using x = d + 15, which gives x = 70.\n5. Compute t using t = x + 7, whic... |
{"problem": {"rules": {"s": "b + 4", "d": "s + 3", "c": "d + 3", "z": "c + 19", "r": "z + 1", "i": "r + 20", "j": "b + 9", "n": "j + 19", "o": "n + 4", "p": "o + 11", "k": "p + 10", "w": "k + 17", "b": 10}, "premises": {"b": 10}, "target": "i"}, "answer": {"steps": [["s", "b + 4", 14], ["d", "s + 3", 17], ["c", "d + 3"... | 74 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = s + 3; j = b + 9; r = z + 1; i = r + 20; o = n + 4; k = p + 10; b = 10; s = b + 4; z = c + 19; n = j + 19; p = o + 11; c = d + 3; w = k + 17. If b = 10, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = b + 4, which gives s = 14.\n2. Compute d using d = s + 3, which gives d = 17.\n3. Compute c using c = d + 3, which gives c = 20.\n4. Compute z using z = c + 19, which gives z = 39.\n5. Compute r using r = z + 1, which ... |
{"problem": {"rules": {"z": "j + 14", "a": "z + 19", "e": "a + 20", "p": "e + 16", "c": "p + 7", "x": "c + 9", "v": "j + 5", "l": "v + 13", "b": "l + 5", "t": "b + 12", "f": "t + 5", "m": "f + 7", "j": 8}, "premises": {"j": 8}, "target": "x"}, "answer": {"steps": [["z", "j + 14", 22], ["a", "z + 19", 41], ["e", "a + 20... | 75 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = t + 5; t = b + 12; c = p + 7; p = e + 16; z = j + 14; l = v + 13; x = c + 9; e = a + 20; v = j + 5; b = l + 5; j = 8; m = f + 7; a = z + 19. Given that j = 8, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = j + 14, which gives z = 22.\n2. Compute a using a = z + 19, which gives a = 41.\n3. Compute e using e = a + 20, which gives e = 61.\n4. Compute p using p = e + 16, which gives p = 77.\n5. Compute c using c = p + 7, whi... |
{"problem": {"rules": {"u": "x + 6", "c": "u + 13", "d": "c + 7", "i": "d + 20", "f": "i + 3", "z": "f + 2", "e": "x + 11", "r": "e + 14", "m": "r + 15", "o": "m + 4", "h": "o + 8", "v": "h + 12", "x": 14}, "premises": {"x": 14}, "target": "z"}, "answer": {"steps": [["u", "x + 6", 20], ["c", "u + 13", 33], ["d", "c + 7... | 76 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = h + 12; x = 14; m = r + 15; o = m + 4; e = x + 11; i = d + 20; r = e + 14; f = i + 3; d = c + 7; u = x + 6; z = f + 2; c = u + 13; h = o + 8. If x = 14, what is the resulting value of z?",
"role": "user... | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = x + 6, which gives u = 20.\n2. Compute c using c = u + 13, which gives c = 33.\n3. Compute d using d = c + 7, which gives d = 40.\n4. Compute i using i = d + 20, which gives i = 60.\n5. Compute f using f = i + 3, which... |
{"problem": {"rules": {"o": "p + 18", "c": "o + 16", "l": "c + 2", "d": "l + 16", "y": "d + 14", "b": "y + 8", "w": "p + 4", "a": "w + 2", "g": "a + 15", "z": "g + 6", "k": "z + 5", "s": "k + 7", "p": 11}, "premises": {"p": 11}, "target": "b"}, "answer": {"steps": [["o", "p + 18", 29], ["c", "o + 16", 45], ["l", "c + 2... | 77 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 5; c = o + 16; p = 11; a = w + 2; w = p + 4; b = y + 8; d = l + 16; s = k + 7; o = p + 18; y = d + 14; g = a + 15; z = g + 6; l = c + 2. If p = 11, what is the resulting value of b?",
"role": "user"... | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = p + 18, which gives o = 29.\n2. Compute c using c = o + 16, which gives c = 45.\n3. Compute l using l = c + 2, which gives l = 47.\n4. Compute d using d = l + 16, which gives d = 63.\n5. Compute y using y = d + 14, whi... |
{"problem": {"rules": {"n": "m + 17", "v": "n + 12", "j": "v + 14", "g": "j + 14", "d": "g + 7", "b": "d + 4", "k": "m + 3", "s": "k + 15", "h": "s + 12", "p": "h + 7", "u": "p + 4", "e": "u + 8", "m": 10}, "premises": {"m": 10}, "target": "b"}, "answer": {"steps": [["n", "m + 17", 27], ["v", "n + 12", 39], ["j", "v + ... | 78 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = p + 4; g = j + 14; m = 10; p = h + 7; j = v + 14; h = s + 12; n = m + 17; d = g + 7; k = m + 3; b = d + 4; e = u + 8; v = n + 12; s = k + 15. If m = 10, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = m + 17, which gives n = 27.\n2. Compute v using v = n + 12, which gives v = 39.\n3. Compute j using j = v + 14, which gives j = 53.\n4. Compute g using g = j + 14, which gives g = 67.\n5. Compute d using d = g + 7, whi... |
{"problem": {"rules": {"j": "m + 14", "k": "j + 3", "f": "k + 13", "c": "f + 9", "n": "c + 1", "r": "n + 17", "y": "m + 11", "d": "y + 13", "h": "d + 4", "s": "h + 8", "e": "s + 13", "z": "e + 14", "m": 11}, "premises": {"m": 11}, "target": "r"}, "answer": {"steps": [["j", "m + 14", 25], ["k", "j + 3", 28], ["f", "k + ... | 79 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = m + 11; r = n + 17; d = y + 13; z = e + 14; e = s + 13; j = m + 14; k = j + 3; f = k + 13; m = 11; h = d + 4; s = h + 8; c = f + 9; n = c + 1. If m = 11, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = m + 14, which gives j = 25.\n2. Compute k using k = j + 3, which gives k = 28.\n3. Compute f using f = k + 13, which gives f = 41.\n4. Compute c using c = f + 9, which gives c = 50.\n5. Compute n using n = c + 1, which... |
{"problem": {"rules": {"g": "m + 14", "z": "g + 2", "i": "z + 14", "y": "i + 11", "p": "y + 9", "k": "p + 5", "s": "m + 3", "n": "s + 6", "a": "n + 18", "t": "a + 20", "e": "t + 11", "q": "e + 5", "m": 20}, "premises": {"m": 20}, "target": "k"}, "answer": {"steps": [["g", "m + 14", 34], ["z", "g + 2", 36], ["i", "z + 1... | 80 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = e + 5; p = y + 9; t = a + 20; i = z + 14; m = 20; y = i + 11; n = s + 6; e = t + 11; z = g + 2; g = m + 14; s = m + 3; a = n + 18; k = p + 5. If m = 20, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = m + 14, which gives g = 34.\n2. Compute z using z = g + 2, which gives z = 36.\n3. Compute i using i = z + 14, which gives i = 50.\n4. Compute y using y = i + 11, which gives y = 61.\n5. Compute p using p = y + 9, whic... |
{"problem": {"rules": {"t": "g + 13", "i": "t + 19", "z": "i + 12", "o": "z + 3", "n": "o + 10", "m": "n + 13", "u": "g + 2", "e": "u + 16", "y": "e + 11", "v": "y + 19", "d": "v + 14", "s": "d + 12", "g": 7}, "premises": {"g": 7}, "target": "m"}, "answer": {"steps": [["t", "g + 13", 20], ["i", "t + 19", 39], ["z", "i ... | 81 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = v + 14; g = 7; o = z + 3; u = g + 2; n = o + 10; v = y + 19; t = g + 13; s = d + 12; z = i + 12; i = t + 19; m = n + 13; e = u + 16; y = e + 11. If g = 7, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = g + 13, which gives t = 20.\n2. Compute i using i = t + 19, which gives i = 39.\n3. Compute z using z = i + 12, which gives z = 51.\n4. Compute o using o = z + 3, which gives o = 54.\n5. Compute n using n = o + 10, whi... |
{"problem": {"rules": {"l": "x + 16", "q": "l + 13", "a": "q + 8", "f": "a + 17", "c": "f + 1", "e": "c + 10", "d": "x + 2", "y": "d + 7", "s": "y + 14", "o": "s + 7", "g": "o + 15", "i": "g + 19", "x": 7}, "premises": {"x": 7}, "target": "e"}, "answer": {"steps": [["l", "x + 16", 23], ["q", "l + 13", 36], ["a", "q + 8... | 82 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = l + 13; i = g + 19; g = o + 15; a = q + 8; d = x + 2; e = c + 10; c = f + 1; s = y + 14; y = d + 7; l = x + 16; x = 7; f = a + 17; o = s + 7. If x = 7, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = x + 16, which gives l = 23.\n2. Compute q using q = l + 13, which gives q = 36.\n3. Compute a using a = q + 8, which gives a = 44.\n4. Compute f using f = a + 17, which gives f = 61.\n5. Compute c using c = f + 1, whic... |
{"problem": {"rules": {"o": "r + 2", "t": "o + 10", "a": "t + 5", "y": "a + 16", "v": "y + 20", "d": "v + 2", "j": "r + 12", "c": "j + 17", "n": "c + 20", "i": "n + 12", "x": "i + 4", "p": "x + 9", "r": 1}, "premises": {"r": 1}, "target": "d"}, "answer": {"steps": [["o", "r + 2", 3], ["t", "o + 10", 13], ["a", "t + 5",... | 83 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = a + 16; x = i + 4; a = t + 5; i = n + 12; n = c + 20; d = v + 2; r = 1; j = r + 12; t = o + 10; o = r + 2; c = j + 17; v = y + 20; p = x + 9. If r = 1, what is the resulting value of d?",
"role": "user"... | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = r + 2, which gives o = 3.\n2. Compute t using t = o + 10, which gives t = 13.\n3. Compute a using a = t + 5, which gives a = 18.\n4. Compute y using y = a + 16, which gives y = 34.\n5. Compute v using v = y + 20, which... |
{"problem": {"rules": {"r": "a + 8", "m": "r + 2", "t": "m + 13", "y": "t + 20", "s": "y + 12", "g": "s + 11", "k": "a + 13", "i": "k + 11", "n": "i + 17", "u": "n + 9", "w": "u + 11", "j": "w + 15", "a": 16}, "premises": {"a": 16}, "target": "g"}, "answer": {"steps": [["r", "a + 8", 24], ["m", "r + 2", 26], ["t", "m +... | 84 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = y + 12; k = a + 13; r = a + 8; y = t + 20; g = s + 11; j = w + 15; i = k + 11; t = m + 13; w = u + 11; n = i + 17; u = n + 9; m = r + 2; a = 16. Given that a = 16, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = a + 8, which gives r = 24.\n2. Compute m using m = r + 2, which gives m = 26.\n3. Compute t using t = m + 13, which gives t = 39.\n4. Compute y using y = t + 20, which gives y = 59.\n5. Compute s using s = y + 12, whic... |
{"problem": {"rules": {"o": "q + 4", "i": "o + 10", "n": "i + 19", "k": "n + 19", "g": "k + 15", "l": "g + 12", "h": "q + 20", "w": "h + 16", "s": "w + 8", "e": "s + 9", "y": "e + 3", "x": "y + 16", "q": 12}, "premises": {"q": 12}, "target": "l"}, "answer": {"steps": [["o", "q + 4", 16], ["i", "o + 10", 26], ["n", "i +... | 85 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = q + 4; l = g + 12; g = k + 15; h = q + 20; y = e + 3; e = s + 9; i = o + 10; w = h + 16; k = n + 19; s = w + 8; x = y + 16; n = i + 19; q = 12. If q = 12, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = q + 4, which gives o = 16.\n2. Compute i using i = o + 10, which gives i = 26.\n3. Compute n using n = i + 19, which gives n = 45.\n4. Compute k using k = n + 19, which gives k = 64.\n5. Compute g using g = k + 15, whi... |
{"problem": {"rules": {"q": "i + 19", "m": "q + 1", "w": "m + 1", "k": "w + 17", "v": "k + 19", "a": "v + 1", "p": "i + 5", "l": "p + 15", "h": "l + 19", "z": "h + 9", "y": "z + 16", "d": "y + 10", "i": 5}, "premises": {"i": 5}, "target": "a"}, "answer": {"steps": [["q", "i + 19", 24], ["m", "q + 1", 25], ["w", "m + 1"... | 86 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = h + 9; q = i + 19; a = v + 1; p = i + 5; y = z + 16; i = 5; k = w + 17; v = k + 19; d = y + 10; w = m + 1; l = p + 15; h = l + 19; m = q + 1. If i = 5, what is the resulting value of a?",
"role": "user"... | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = i + 19, which gives q = 24.\n2. Compute m using m = q + 1, which gives m = 25.\n3. Compute w using w = m + 1, which gives w = 26.\n4. Compute k using k = w + 17, which gives k = 43.\n5. Compute v using v = k + 19, whic... |
{"problem": {"rules": {"f": "q + 11", "x": "f + 5", "n": "x + 8", "v": "n + 14", "l": "v + 11", "e": "l + 7", "w": "q + 5", "t": "w + 19", "m": "t + 1", "z": "m + 16", "u": "z + 8", "r": "u + 10", "q": 15}, "premises": {"q": 15}, "target": "e"}, "answer": {"steps": [["f", "q + 11", 26], ["x", "f + 5", 31], ["n", "x + 8... | 87 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = x + 8; e = l + 7; r = u + 10; w = q + 5; v = n + 14; x = f + 5; t = w + 19; m = t + 1; f = q + 11; z = m + 16; u = z + 8; l = v + 11; q = 15. If q = 15, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = q + 11, which gives f = 26.\n2. Compute x using x = f + 5, which gives x = 31.\n3. Compute n using n = x + 8, which gives n = 39.\n4. Compute v using v = n + 14, which gives v = 53.\n5. Compute l using l = v + 11, whic... |
{"problem": {"rules": {"s": "l + 15", "p": "s + 3", "n": "p + 6", "a": "n + 9", "g": "a + 11", "b": "g + 20", "v": "l + 19", "c": "v + 20", "r": "c + 7", "t": "r + 12", "x": "t + 16", "m": "x + 16", "l": 16}, "premises": {"l": 16}, "target": "b"}, "answer": {"steps": [["s", "l + 15", 31], ["p", "s + 3", 34], ["n", "p +... | 88 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = l + 15; v = l + 19; l = 16; m = x + 16; p = s + 3; g = a + 11; n = p + 6; b = g + 20; a = n + 9; r = c + 7; t = r + 12; c = v + 20; x = t + 16. If l = 16, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = l + 15, which gives s = 31.\n2. Compute p using p = s + 3, which gives p = 34.\n3. Compute n using n = p + 6, which gives n = 40.\n4. Compute a using a = n + 9, which gives a = 49.\n5. Compute g using g = a + 11, which... |
{"problem": {"rules": {"d": "b + 18", "p": "d + 6", "w": "p + 6", "c": "w + 5", "s": "c + 16", "z": "s + 18", "m": "b + 6", "e": "m + 11", "x": "e + 9", "y": "x + 2", "l": "y + 7", "t": "l + 2", "b": 19}, "premises": {"b": 19}, "target": "z"}, "answer": {"steps": [["d", "b + 18", 37], ["p", "d + 6", 43], ["w", "p + 6",... | 89 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = s + 18; m = b + 6; c = w + 5; e = m + 11; b = 19; l = y + 7; d = b + 18; x = e + 9; t = l + 2; s = c + 16; w = p + 6; y = x + 2; p = d + 6. Given that b = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = b + 18, which gives d = 37.\n2. Compute p using p = d + 6, which gives p = 43.\n3. Compute w using w = p + 6, which gives w = 49.\n4. Compute c using c = w + 5, which gives c = 54.\n5. Compute s using s = c + 16, which... |
{"problem": {"rules": {"a": "u + 11", "e": "a + 19", "q": "e + 5", "v": "q + 13", "t": "v + 4", "y": "t + 5", "z": "u + 4", "l": "z + 1", "j": "l + 10", "r": "j + 2", "c": "r + 9", "h": "c + 7", "u": 13}, "premises": {"u": 13}, "target": "y"}, "answer": {"steps": [["a", "u + 11", 24], ["e", "a + 19", 43], ["q", "e + 5"... | 90 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 2; z = u + 4; c = r + 9; e = a + 19; y = t + 5; a = u + 11; j = l + 10; q = e + 5; u = 13; t = v + 4; v = q + 13; l = z + 1; h = c + 7. If u = 13, what is the resulting value of y?",
"role": "user"
... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = u + 11, which gives a = 24.\n2. Compute e using e = a + 19, which gives e = 43.\n3. Compute q using q = e + 5, which gives q = 48.\n4. Compute v using v = q + 13, which gives v = 61.\n5. Compute t using t = v + 4, whic... |
{"problem": {"rules": {"f": "t + 7", "u": "f + 6", "o": "u + 15", "b": "o + 18", "v": "b + 2", "e": "v + 17", "m": "t + 9", "j": "m + 19", "z": "j + 19", "p": "z + 4", "i": "p + 2", "d": "i + 16", "t": 5}, "premises": {"t": 5}, "target": "e"}, "answer": {"steps": [["f", "t + 7", 12], ["u", "f + 6", 18], ["o", "u + 15",... | 91 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = u + 15; j = m + 19; f = t + 7; i = p + 2; d = i + 16; p = z + 4; e = v + 17; z = j + 19; b = o + 18; u = f + 6; m = t + 9; t = 5; v = b + 2. If t = 5, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = t + 7, which gives f = 12.\n2. Compute u using u = f + 6, which gives u = 18.\n3. Compute o using o = u + 15, which gives o = 33.\n4. Compute b using b = o + 18, which gives b = 51.\n5. Compute v using v = b + 2, which... |
{"problem": {"rules": {"l": "g + 2", "p": "l + 11", "k": "p + 15", "m": "k + 15", "a": "m + 11", "q": "a + 16", "b": "g + 1", "t": "b + 15", "e": "t + 7", "u": "e + 18", "j": "u + 18", "o": "j + 7", "g": 9}, "premises": {"g": 9}, "target": "q"}, "answer": {"steps": [["l", "g + 2", 11], ["p", "l + 11", 22], ["k", "p + 1... | 92 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = t + 7; a = m + 11; m = k + 15; q = a + 16; j = u + 18; l = g + 2; k = p + 15; g = 9; p = l + 11; t = b + 15; u = e + 18; o = j + 7; b = g + 1. If g = 9, what is the resulting value of q?",
"role": "user... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = g + 2, which gives l = 11.\n2. Compute p using p = l + 11, which gives p = 22.\n3. Compute k using k = p + 15, which gives k = 37.\n4. Compute m using m = k + 15, which gives m = 52.\n5. Compute a using a = m + 11, whi... |
{"problem": {"rules": {"p": "a + 6", "m": "p + 18", "f": "m + 16", "i": "f + 19", "v": "i + 17", "r": "v + 11", "k": "a + 18", "j": "k + 4", "e": "j + 12", "y": "e + 2", "z": "y + 20", "u": "z + 12", "a": 13}, "premises": {"a": 13}, "target": "r"}, "answer": {"steps": [["p", "a + 6", 19], ["m", "p + 18", 37], ["f", "m ... | 93 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = y + 20; u = z + 12; a = 13; j = k + 4; e = j + 12; y = e + 2; i = f + 19; v = i + 17; f = m + 16; m = p + 18; p = a + 6; k = a + 18; r = v + 11. Given that a = 13, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = a + 6, which gives p = 19.\n2. Compute m using m = p + 18, which gives m = 37.\n3. Compute f using f = m + 16, which gives f = 53.\n4. Compute i using i = f + 19, which gives i = 72.\n5. Compute v using v = i + 17, whi... |
{"problem": {"rules": {"e": "r + 4", "g": "e + 18", "k": "g + 12", "m": "k + 20", "c": "m + 13", "u": "c + 5", "i": "r + 10", "a": "i + 6", "h": "a + 17", "j": "h + 19", "d": "j + 13", "y": "d + 3", "r": 13}, "premises": {"r": 13}, "target": "u"}, "answer": {"steps": [["e", "r + 4", 17], ["g", "e + 18", 35], ["k", "g +... | 94 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 5; a = i + 6; h = a + 17; j = h + 19; e = r + 4; i = r + 10; d = j + 13; m = k + 20; k = g + 12; r = 13; g = e + 18; y = d + 3; c = m + 13. If r = 13, what is the resulting value of u?",
"role": "us... | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = r + 4, which gives e = 17.\n2. Compute g using g = e + 18, which gives g = 35.\n3. Compute k using k = g + 12, which gives k = 47.\n4. Compute m using m = k + 20, which gives m = 67.\n5. Compute c using c = m + 13, whi... |
{"problem": {"rules": {"x": "f + 4", "b": "x + 10", "g": "b + 9", "y": "g + 13", "q": "y + 14", "v": "q + 14", "j": "f + 19", "n": "j + 12", "k": "n + 12", "l": "k + 12", "s": "l + 7", "o": "s + 13", "f": 5}, "premises": {"f": 5}, "target": "v"}, "answer": {"steps": [["x", "f + 4", 9], ["b", "x + 10", 19], ["g", "b + 9... | 95 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = g + 13; l = k + 12; s = l + 7; b = x + 10; q = y + 14; x = f + 4; k = n + 12; j = f + 19; g = b + 9; v = q + 14; o = s + 13; f = 5; n = j + 12. Given that f = 5, find the value of v.",
"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 = f + 4, which gives x = 9.\n2. Compute b using b = x + 10, which gives b = 19.\n3. Compute g using g = b + 9, which gives g = 28.\n4. Compute y using y = g + 13, which gives y = 41.\n5. Compute q using q = y + 14, which... |
{"problem": {"rules": {"j": "t + 1", "q": "j + 18", "b": "q + 9", "d": "b + 10", "h": "d + 4", "a": "h + 7", "e": "t + 20", "c": "e + 9", "z": "c + 1", "r": "z + 2", "i": "r + 6", "l": "i + 5", "t": 19}, "premises": {"t": 19}, "target": "a"}, "answer": {"steps": [["j", "t + 1", 20], ["q", "j + 18", 38], ["b", "q + 9", ... | 96 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = t + 1; z = c + 1; l = i + 5; q = j + 18; d = b + 10; h = d + 4; c = e + 9; a = h + 7; b = q + 9; t = 19; i = r + 6; r = z + 2; e = t + 20. If t = 19, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = t + 1, which gives j = 20.\n2. Compute q using q = j + 18, which gives q = 38.\n3. Compute b using b = q + 9, which gives b = 47.\n4. Compute d using d = b + 10, which gives d = 57.\n5. Compute h using h = d + 4, which... |
{"problem": {"rules": {"z": "c + 13", "g": "z + 5", "o": "g + 8", "u": "o + 1", "x": "u + 15", "n": "x + 5", "h": "c + 5", "m": "h + 20", "d": "m + 1", "v": "d + 14", "a": "v + 18", "b": "a + 20", "c": 19}, "premises": {"c": 19}, "target": "n"}, "answer": {"steps": [["z", "c + 13", 32], ["g", "z + 5", 37], ["o", "g + 8... | 97 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = c + 5; z = c + 13; u = o + 1; n = x + 5; m = h + 20; v = d + 14; x = u + 15; a = v + 18; o = g + 8; c = 19; b = a + 20; g = z + 5; d = m + 1. Given that c = 19, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = c + 13, which gives z = 32.\n2. Compute g using g = z + 5, which gives g = 37.\n3. Compute o using o = g + 8, which gives o = 45.\n4. Compute u using u = o + 1, which gives u = 46.\n5. Compute x using x = u + 15, which... |
{"problem": {"rules": {"k": "f + 6", "t": "k + 17", "b": "t + 14", "i": "b + 5", "a": "i + 14", "p": "a + 5", "w": "f + 16", "o": "w + 2", "n": "o + 4", "m": "n + 15", "j": "m + 9", "h": "j + 6", "f": 1}, "premises": {"f": 1}, "target": "p"}, "answer": {"steps": [["k", "f + 6", 7], ["t", "k + 17", 24], ["b", "t + 14", ... | 98 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = w + 2; h = j + 6; m = n + 15; w = f + 16; f = 1; t = k + 17; b = t + 14; n = o + 4; p = a + 5; k = f + 6; j = m + 9; a = i + 14; i = b + 5. Given that f = 1, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = f + 6, which gives k = 7.\n2. Compute t using t = k + 17, which gives t = 24.\n3. Compute b using b = t + 14, which gives b = 38.\n4. Compute i using i = b + 5, which gives i = 43.\n5. Compute a using a = i + 14, which... |
{"problem": {"rules": {"k": "x + 4", "e": "k + 15", "f": "e + 19", "i": "f + 8", "p": "i + 10", "l": "p + 15", "t": "x + 2", "v": "t + 12", "h": "v + 2", "u": "h + 19", "q": "u + 11", "m": "q + 12", "x": 7}, "premises": {"x": 7}, "target": "l"}, "answer": {"steps": [["k", "x + 4", 11], ["e", "k + 15", 26], ["f", "e + 1... | 99 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = x + 2; m = q + 12; v = t + 12; e = k + 15; f = e + 19; u = h + 19; p = i + 10; q = u + 11; l = p + 15; i = f + 8; x = 7; h = v + 2; k = x + 4. Given that x = 7, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = x + 4, which gives k = 11.\n2. Compute e using e = k + 15, which gives e = 26.\n3. Compute f using f = e + 19, which gives f = 45.\n4. Compute i using i = f + 8, which gives i = 53.\n5. Compute p using p = i + 10, whic... |
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