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": {"h": "x + 19", "c": "h + 12", "e": "c + 5", "p": "e + 5", "i": "p + 7", "q": "i + 8", "g": "x + 12", "d": "g + 10", "l": "d + 6", "k": "l + 10", "a": "k + 11", "f": "a + 14", "x": 7}, "premises": {"x": 7}, "target": "q"}, "answer": {"steps": [["h", "x + 19", 26], ["c", "h + 12", 38], ["e", "c + 5... | 1,200 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = i + 8; e = c + 5; k = l + 10; a = k + 11; g = x + 12; x = 7; l = d + 6; c = h + 12; h = x + 19; f = a + 14; p = e + 5; d = g + 10; i = p + 7. If x = 7, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = x + 19, which gives h = 26.\n2. Compute c using c = h + 12, which gives c = 38.\n3. Compute e using e = c + 5, which gives e = 43.\n4. Compute p using p = e + 5, which gives p = 48.\n5. Compute i using i = p + 7, which... |
{"problem": {"rules": {"z": "t + 1", "x": "z + 3", "n": "x + 3", "d": "n + 3", "y": "d + 2", "o": "y + 7", "j": "t + 3", "w": "j + 13", "h": "w + 19", "q": "h + 13", "v": "q + 11", "a": "v + 1", "t": 19}, "premises": {"t": 19}, "target": "o"}, "answer": {"steps": [["z", "t + 1", 20], ["x", "z + 3", 23], ["n", "x + 3", ... | 1,201 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 19; y = d + 2; n = x + 3; o = y + 7; d = n + 3; z = t + 1; t = 19; j = t + 3; q = h + 13; w = j + 13; v = q + 11; x = z + 3; a = v + 1. If t = 19, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 38,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = t + 1, which gives z = 20.\n2. Compute x using x = z + 3, which gives x = 23.\n3. Compute n using n = x + 3, which gives n = 26.\n4. Compute d using d = n + 3, which gives d = 29.\n5. Compute y using y = d + 2, which g... |
{"problem": {"rules": {"x": "o + 3", "s": "x + 16", "w": "s + 3", "j": "w + 18", "d": "j + 8", "q": "d + 7", "c": "o + 19", "i": "c + 17", "p": "i + 7", "r": "p + 15", "t": "r + 9", "e": "t + 10", "o": 20}, "premises": {"o": 20}, "target": "q"}, "answer": {"steps": [["x", "o + 3", 23], ["s", "x + 16", 39], ["w", "s + 3... | 1,202 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 7; x = o + 3; q = d + 7; o = 20; e = t + 10; s = x + 16; w = s + 3; i = c + 17; d = j + 8; c = o + 19; r = p + 15; j = w + 18; t = r + 9. If o = 20, what is the resulting value of q?",
"role": "user... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = o + 3, which gives x = 23.\n2. Compute s using s = x + 16, which gives s = 39.\n3. Compute w using w = s + 3, which gives w = 42.\n4. Compute j using j = w + 18, which gives j = 60.\n5. Compute d using d = j + 8, which... |
{"problem": {"rules": {"y": "h + 13", "a": "y + 6", "g": "a + 7", "f": "g + 5", "w": "f + 10", "q": "w + 16", "v": "h + 1", "m": "v + 15", "b": "m + 15", "i": "b + 19", "l": "i + 15", "n": "l + 1", "h": 6}, "premises": {"h": 6}, "target": "q"}, "answer": {"steps": [["y", "h + 13", 19], ["a", "y + 6", 25], ["g", "a + 7"... | 1,203 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = y + 6; v = h + 1; g = a + 7; h = 6; l = i + 15; w = f + 10; n = l + 1; m = v + 15; f = g + 5; b = m + 15; y = h + 13; q = w + 16; i = b + 19. If h = 6, what is the resulting value of q?",
"role": "user"... | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = h + 13, which gives y = 19.\n2. Compute a using a = y + 6, which gives a = 25.\n3. Compute g using g = a + 7, which gives g = 32.\n4. Compute f using f = g + 5, which gives f = 37.\n5. Compute w using w = f + 10, which... |
{"problem": {"rules": {"d": "h + 15", "v": "d + 17", "c": "v + 7", "f": "c + 1", "o": "f + 8", "a": "o + 14", "y": "h + 16", "m": "y + 20", "z": "m + 20", "t": "z + 14", "s": "t + 6", "p": "s + 10", "h": 8}, "premises": {"h": 8}, "target": "a"}, "answer": {"steps": [["d", "h + 15", 23], ["v", "d + 17", 40], ["c", "v + ... | 1,204 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = s + 10; z = m + 20; f = c + 1; c = v + 7; s = t + 6; d = h + 15; h = 8; m = y + 20; y = h + 16; t = z + 14; v = d + 17; a = o + 14; o = f + 8. Given that h = 8, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = h + 15, which gives d = 23.\n2. Compute v using v = d + 17, which gives v = 40.\n3. Compute c using c = v + 7, which gives c = 47.\n4. Compute f using f = c + 1, which gives f = 48.\n5. Compute o using o = f + 8, which... |
{"problem": {"rules": {"g": "j + 1", "o": "g + 16", "k": "o + 6", "m": "k + 2", "n": "m + 16", "l": "n + 8", "e": "j + 11", "a": "e + 19", "b": "a + 10", "p": "b + 2", "f": "p + 10", "d": "f + 19", "j": 7}, "premises": {"j": 7}, "target": "l"}, "answer": {"steps": [["g", "j + 1", 8], ["o", "g + 16", 24], ["k", "o + 6",... | 1,205 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = e + 19; b = a + 10; e = j + 11; m = k + 2; d = f + 19; g = j + 1; j = 7; n = m + 16; k = o + 6; p = b + 2; o = g + 16; l = n + 8; f = p + 10. If j = 7, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = j + 1, which gives g = 8.\n2. Compute o using o = g + 16, which gives o = 24.\n3. Compute k using k = o + 6, which gives k = 30.\n4. Compute m using m = k + 2, which gives m = 32.\n5. Compute n using n = m + 16, which ... |
{"problem": {"rules": {"n": "h + 19", "m": "n + 3", "j": "m + 17", "e": "j + 9", "b": "e + 7", "l": "b + 13", "f": "h + 20", "s": "f + 19", "z": "s + 6", "o": "z + 16", "v": "o + 13", "x": "v + 8", "h": 19}, "premises": {"h": 19}, "target": "l"}, "answer": {"steps": [["n", "h + 19", 38], ["m", "n + 3", 41], ["j", "m + ... | 1,206 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = o + 13; b = e + 7; m = n + 3; s = f + 19; h = 19; x = v + 8; f = h + 20; j = m + 17; l = b + 13; z = s + 6; n = h + 19; o = z + 16; e = j + 9. Given that h = 19, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = h + 19, which gives n = 38.\n2. Compute m using m = n + 3, which gives m = 41.\n3. Compute j using j = m + 17, which gives j = 58.\n4. Compute e using e = j + 9, which gives e = 67.\n5. Compute b using b = e + 7, which... |
{"problem": {"rules": {"v": "u + 2", "e": "v + 16", "j": "e + 7", "b": "j + 11", "c": "b + 5", "i": "c + 8", "p": "u + 20", "m": "p + 9", "k": "m + 11", "q": "k + 19", "n": "q + 14", "r": "n + 2", "u": 15}, "premises": {"u": 15}, "target": "i"}, "answer": {"steps": [["v", "u + 2", 17], ["e", "v + 16", 33], ["j", "e + 7... | 1,207 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = c + 8; b = j + 11; n = q + 14; v = u + 2; r = n + 2; m = p + 9; k = m + 11; p = u + 20; u = 15; j = e + 7; c = b + 5; e = v + 16; q = k + 19. Given that u = 15, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = u + 2, which gives v = 17.\n2. Compute e using e = v + 16, which gives e = 33.\n3. Compute j using j = e + 7, which gives j = 40.\n4. Compute b using b = j + 11, which gives b = 51.\n5. Compute c using c = b + 5, which... |
{"problem": {"rules": {"g": "q + 13", "i": "g + 15", "a": "i + 17", "m": "a + 10", "n": "m + 14", "c": "n + 19", "o": "q + 8", "x": "o + 5", "b": "x + 19", "l": "b + 4", "e": "l + 11", "d": "e + 15", "q": 14}, "premises": {"q": 14}, "target": "c"}, "answer": {"steps": [["g", "q + 13", 27], ["i", "g + 15", 42], ["a", "i... | 1,208 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = a + 10; c = n + 19; o = q + 8; a = i + 17; b = x + 19; x = o + 5; g = q + 13; e = l + 11; n = m + 14; l = b + 4; d = e + 15; q = 14; i = g + 15. Given that q = 14, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = q + 13, which gives g = 27.\n2. Compute i using i = g + 15, which gives i = 42.\n3. Compute a using a = i + 17, which gives a = 59.\n4. Compute m using m = a + 10, which gives m = 69.\n5. Compute n using n = m + 14, wh... |
{"problem": {"rules": {"j": "i + 14", "d": "j + 8", "l": "d + 5", "m": "l + 10", "p": "m + 11", "w": "p + 13", "f": "i + 9", "e": "f + 1", "k": "e + 3", "u": "k + 18", "s": "u + 19", "q": "s + 7", "i": 10}, "premises": {"i": 10}, "target": "w"}, "answer": {"steps": [["j", "i + 14", 24], ["d", "j + 8", 32], ["l", "d + 5... | 1,209 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = k + 18; k = e + 3; l = d + 5; p = m + 11; w = p + 13; f = i + 9; m = l + 10; q = s + 7; e = f + 1; i = 10; d = j + 8; j = i + 14; s = u + 19. Given that i = 10, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = i + 14, which gives j = 24.\n2. Compute d using d = j + 8, which gives d = 32.\n3. Compute l using l = d + 5, which gives l = 37.\n4. Compute m using m = l + 10, which gives m = 47.\n5. Compute p using p = m + 11, whic... |
{"problem": {"rules": {"l": "e + 8", "p": "l + 9", "s": "p + 18", "u": "s + 2", "c": "u + 9", "o": "c + 16", "b": "e + 3", "x": "b + 9", "h": "x + 9", "z": "h + 7", "j": "z + 3", "q": "j + 8", "e": 6}, "premises": {"e": 6}, "target": "o"}, "answer": {"steps": [["l", "e + 8", 14], ["p", "l + 9", 23], ["s", "p + 18", 41]... | 1,210 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = x + 9; x = b + 9; p = l + 9; o = c + 16; q = j + 8; s = p + 18; z = h + 7; b = e + 3; e = 6; l = e + 8; j = z + 3; c = u + 9; u = s + 2. Given that e = 6, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = e + 8, which gives l = 14.\n2. Compute p using p = l + 9, which gives p = 23.\n3. Compute s using s = p + 18, which gives s = 41.\n4. Compute u using u = s + 2, which gives u = 43.\n5. Compute c using c = u + 9, which ... |
{"problem": {"rules": {"p": "e + 18", "x": "p + 13", "n": "x + 4", "s": "n + 8", "r": "s + 5", "v": "r + 11", "h": "e + 16", "d": "h + 18", "q": "d + 6", "c": "q + 4", "z": "c + 19", "l": "z + 19", "e": 14}, "premises": {"e": 14}, "target": "v"}, "answer": {"steps": [["p", "e + 18", 32], ["x", "p + 13", 45], ["n", "x +... | 1,211 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = x + 4; q = d + 6; d = h + 18; c = q + 4; s = n + 8; x = p + 13; e = 14; p = e + 18; h = e + 16; r = s + 5; z = c + 19; l = z + 19; v = r + 11. Given that e = 14, find 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 p using p = e + 18, which gives p = 32.\n2. Compute x using x = p + 13, which gives x = 45.\n3. Compute n using n = x + 4, which gives n = 49.\n4. Compute s using s = n + 8, which gives s = 57.\n5. Compute r using r = s + 5, which... |
{"problem": {"rules": {"i": "v + 14", "h": "i + 4", "q": "h + 1", "b": "q + 16", "a": "b + 3", "z": "a + 2", "m": "v + 14", "p": "m + 12", "y": "p + 15", "j": "y + 3", "r": "j + 16", "c": "r + 2", "v": 12}, "premises": {"v": 12}, "target": "z"}, "answer": {"steps": [["i", "v + 14", 26], ["h", "i + 4", 30], ["q", "h + 1... | 1,212 | 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 = v + 14; r = j + 16; h = i + 4; z = a + 2; p = m + 12; b = q + 16; v = 12; c = r + 2; j = y + 3; i = v + 14; q = h + 1; y = p + 15; a = b + 3. If v = 12, 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 i using i = v + 14, which gives i = 26.\n2. Compute h using h = i + 4, which gives h = 30.\n3. Compute q using q = h + 1, which gives q = 31.\n4. Compute b using b = q + 16, which gives b = 47.\n5. Compute a using a = b + 3, which... |
{"problem": {"rules": {"k": "r + 19", "l": "k + 2", "f": "l + 10", "c": "f + 2", "x": "c + 5", "p": "x + 11", "y": "r + 4", "z": "y + 6", "b": "z + 20", "g": "b + 3", "e": "g + 13", "q": "e + 15", "r": 10}, "premises": {"r": 10}, "target": "p"}, "answer": {"steps": [["k", "r + 19", 29], ["l", "k + 2", 31], ["f", "l + 1... | 1,213 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 2; r = 10; q = e + 15; g = b + 3; y = r + 4; b = z + 20; p = x + 11; x = c + 5; l = k + 2; f = l + 10; z = y + 6; k = r + 19; e = g + 13. If r = 10, what is the resulting value of p?",
"role": "user... | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = r + 19, which gives k = 29.\n2. Compute l using l = k + 2, which gives l = 31.\n3. Compute f using f = l + 10, which gives f = 41.\n4. Compute c using c = f + 2, which gives c = 43.\n5. Compute x using x = c + 5, which... |
{"problem": {"rules": {"m": "c + 8", "q": "m + 20", "j": "q + 2", "k": "j + 18", "s": "k + 16", "d": "s + 1", "x": "c + 9", "e": "x + 8", "r": "e + 10", "v": "r + 13", "w": "v + 6", "h": "w + 19", "c": 20}, "premises": {"c": 20}, "target": "d"}, "answer": {"steps": [["m", "c + 8", 28], ["q", "m + 20", 48], ["j", "q + 2... | 1,214 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = x + 8; s = k + 16; c = 20; q = m + 20; r = e + 10; w = v + 6; v = r + 13; k = j + 18; m = c + 8; j = q + 2; d = s + 1; x = c + 9; h = w + 19. If c = 20, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = c + 8, which gives m = 28.\n2. Compute q using q = m + 20, which gives q = 48.\n3. Compute j using j = q + 2, which gives j = 50.\n4. Compute k using k = j + 18, which gives k = 68.\n5. Compute s using s = k + 16, whic... |
{"problem": {"rules": {"d": "v + 3", "s": "d + 18", "r": "s + 8", "x": "r + 16", "w": "x + 4", "j": "w + 18", "u": "v + 10", "a": "u + 14", "f": "a + 8", "q": "f + 15", "b": "q + 12", "t": "b + 19", "v": 11}, "premises": {"v": 11}, "target": "j"}, "answer": {"steps": [["d", "v + 3", 14], ["s", "d + 18", 32], ["r", "s +... | 1,215 | 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 = x + 4; j = w + 18; a = u + 14; x = r + 16; f = a + 8; b = q + 12; d = v + 3; q = f + 15; s = d + 18; r = s + 8; v = 11; t = b + 19; u = v + 10. If v = 11, what is the resulting value of j?",
"role": "us... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = v + 3, which gives d = 14.\n2. Compute s using s = d + 18, which gives s = 32.\n3. Compute r using r = s + 8, which gives r = 40.\n4. Compute x using x = r + 16, which gives x = 56.\n5. Compute w using w = x + 4, which... |
{"problem": {"rules": {"z": "a + 15", "h": "z + 14", "d": "h + 10", "n": "d + 6", "r": "n + 6", "l": "r + 7", "f": "a + 17", "k": "f + 9", "g": "k + 12", "t": "g + 18", "i": "t + 20", "j": "i + 8", "a": 2}, "premises": {"a": 2}, "target": "l"}, "answer": {"steps": [["z", "a + 15", 17], ["h", "z + 14", 31], ["d", "h + 1... | 1,216 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = f + 9; z = a + 15; h = z + 14; t = g + 18; l = r + 7; g = k + 12; r = n + 6; d = h + 10; f = a + 17; j = i + 8; i = t + 20; n = d + 6; a = 2. Given that a = 2, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = a + 15, which gives z = 17.\n2. Compute h using h = z + 14, which gives h = 31.\n3. Compute d using d = h + 10, which gives d = 41.\n4. Compute n using n = d + 6, which gives n = 47.\n5. Compute r using r = n + 6, whic... |
{"problem": {"rules": {"m": "r + 6", "t": "m + 3", "s": "t + 15", "h": "s + 11", "z": "h + 11", "c": "z + 2", "q": "r + 16", "b": "q + 4", "d": "b + 17", "e": "d + 15", "o": "e + 7", "w": "o + 20", "r": 18}, "premises": {"r": 18}, "target": "c"}, "answer": {"steps": [["m", "r + 6", 24], ["t", "m + 3", 27], ["s", "t + 1... | 1,217 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = t + 15; b = q + 4; w = o + 20; c = z + 2; e = d + 15; q = r + 16; z = h + 11; t = m + 3; m = r + 6; d = b + 17; r = 18; h = s + 11; o = e + 7. Given that r = 18, 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 m using m = r + 6, which gives m = 24.\n2. Compute t using t = m + 3, which gives t = 27.\n3. Compute s using s = t + 15, which gives s = 42.\n4. Compute h using h = s + 11, which gives h = 53.\n5. Compute z using z = h + 11, whic... |
{"problem": {"rules": {"x": "i + 20", "d": "x + 5", "k": "d + 19", "r": "k + 6", "u": "r + 19", "l": "u + 13", "p": "i + 16", "g": "p + 4", "v": "g + 3", "c": "v + 5", "m": "c + 18", "f": "m + 4", "i": 2}, "premises": {"i": 2}, "target": "l"}, "answer": {"steps": [["x", "i + 20", 22], ["d", "x + 5", 27], ["k", "d + 19"... | 1,218 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = g + 3; p = i + 16; c = v + 5; k = d + 19; g = p + 4; m = c + 18; u = r + 19; l = u + 13; i = 2; d = x + 5; f = m + 4; x = i + 20; r = k + 6. Given that i = 2, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = i + 20, which gives x = 22.\n2. Compute d using d = x + 5, which gives d = 27.\n3. Compute k using k = d + 19, which gives k = 46.\n4. Compute r using r = k + 6, which gives r = 52.\n5. Compute u using u = r + 19, whic... |
{"problem": {"rules": {"b": "i + 11", "v": "b + 6", "n": "v + 13", "g": "n + 16", "x": "g + 2", "h": "x + 16", "w": "i + 11", "y": "w + 20", "p": "y + 20", "k": "p + 19", "a": "k + 3", "s": "a + 3", "i": 7}, "premises": {"i": 7}, "target": "h"}, "answer": {"steps": [["b", "i + 11", 18], ["v", "b + 6", 24], ["n", "v + 1... | 1,219 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = v + 13; a = k + 3; w = i + 11; h = x + 16; p = y + 20; y = w + 20; i = 7; g = n + 16; x = g + 2; b = i + 11; s = a + 3; k = p + 19; v = b + 6. If i = 7, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = i + 11, which gives b = 18.\n2. Compute v using v = b + 6, which gives v = 24.\n3. Compute n using n = v + 13, which gives n = 37.\n4. Compute g using g = n + 16, which gives g = 53.\n5. Compute x using x = g + 2, whic... |
{"problem": {"rules": {"e": "s + 20", "h": "e + 4", "n": "h + 2", "q": "n + 1", "p": "q + 15", "y": "p + 6", "j": "s + 10", "x": "j + 1", "z": "x + 18", "v": "z + 18", "u": "v + 14", "i": "u + 15", "s": 17}, "premises": {"s": 17}, "target": "y"}, "answer": {"steps": [["e", "s + 20", 37], ["h", "e + 4", 41], ["n", "h + ... | 1,220 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = e + 4; u = v + 14; e = s + 20; z = x + 18; x = j + 1; s = 17; i = u + 15; n = h + 2; j = s + 10; y = p + 6; q = n + 1; p = q + 15; v = z + 18. If s = 17, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = s + 20, which gives e = 37.\n2. Compute h using h = e + 4, which gives h = 41.\n3. Compute n using n = h + 2, which gives n = 43.\n4. Compute q using q = n + 1, which gives q = 44.\n5. Compute p using p = q + 15, which... |
{"problem": {"rules": {"q": "h + 1", "m": "q + 13", "l": "m + 15", "v": "l + 10", "t": "v + 18", "n": "t + 7", "a": "h + 5", "c": "a + 3", "b": "c + 2", "i": "b + 10", "y": "i + 18", "r": "y + 12", "h": 13}, "premises": {"h": 13}, "target": "n"}, "answer": {"steps": [["q", "h + 1", 14], ["m", "q + 13", 27], ["l", "m + ... | 1,221 | 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 = q + 13; h = 13; b = c + 2; a = h + 5; r = y + 12; t = v + 18; v = l + 10; n = t + 7; l = m + 15; c = a + 3; i = b + 10; q = h + 1; y = i + 18. If h = 13, what is the resulting value of n?",
"role": "use... | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = h + 1, which gives q = 14.\n2. Compute m using m = q + 13, which gives m = 27.\n3. Compute l using l = m + 15, which gives l = 42.\n4. Compute v using v = l + 10, which gives v = 52.\n5. Compute t using t = v + 18, whi... |
{"problem": {"rules": {"m": "y + 14", "j": "m + 9", "c": "j + 8", "t": "c + 15", "o": "t + 2", "r": "o + 2", "l": "y + 12", "k": "l + 4", "d": "k + 8", "g": "d + 15", "x": "g + 2", "s": "x + 20", "y": 2}, "premises": {"y": 2}, "target": "r"}, "answer": {"steps": [["m", "y + 14", 16], ["j", "m + 9", 25], ["c", "j + 8", ... | 1,222 | 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 = o + 2; t = c + 15; o = t + 2; l = y + 12; g = d + 15; x = g + 2; s = x + 20; j = m + 9; c = j + 8; m = y + 14; y = 2; k = l + 4; d = k + 8. If y = 2, what is the resulting value of r?",
"role": "user"
... | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = y + 14, which gives m = 16.\n2. Compute j using j = m + 9, which gives j = 25.\n3. Compute c using c = j + 8, which gives c = 33.\n4. Compute t using t = c + 15, which gives t = 48.\n5. Compute o using o = t + 2, which... |
{"problem": {"rules": {"q": "a + 9", "r": "q + 3", "i": "r + 15", "s": "i + 15", "t": "s + 8", "x": "t + 12", "j": "a + 17", "g": "j + 9", "h": "g + 4", "u": "h + 20", "b": "u + 5", "e": "b + 6", "a": 13}, "premises": {"a": 13}, "target": "x"}, "answer": {"steps": [["q", "a + 9", 22], ["r", "q + 3", 25], ["i", "r + 15"... | 1,223 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 8; q = a + 9; b = u + 5; i = r + 15; a = 13; h = g + 4; j = a + 17; x = t + 12; e = b + 6; u = h + 20; s = i + 15; r = q + 3; g = j + 9. If a = 13, what is the resulting value of x?",
"role": "user"... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = a + 9, which gives q = 22.\n2. Compute r using r = q + 3, which gives r = 25.\n3. Compute i using i = r + 15, which gives i = 40.\n4. Compute s using s = i + 15, which gives s = 55.\n5. Compute t using t = s + 8, which... |
{"problem": {"rules": {"m": "l + 8", "c": "m + 20", "q": "c + 1", "p": "q + 12", "o": "p + 16", "x": "o + 18", "r": "l + 9", "h": "r + 7", "w": "h + 19", "d": "w + 15", "y": "d + 2", "b": "y + 6", "l": 17}, "premises": {"l": 17}, "target": "x"}, "answer": {"steps": [["m", "l + 8", 25], ["c", "m + 20", 45], ["q", "c + 1... | 1,224 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = l + 9; h = r + 7; c = m + 20; p = q + 12; w = h + 19; b = y + 6; m = l + 8; d = w + 15; y = d + 2; q = c + 1; x = o + 18; l = 17; o = p + 16. Given that l = 17, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = l + 8, which gives m = 25.\n2. Compute c using c = m + 20, which gives c = 45.\n3. Compute q using q = c + 1, which gives q = 46.\n4. Compute p using p = q + 12, which gives p = 58.\n5. Compute o using o = p + 16, whic... |
{"problem": {"rules": {"a": "f + 9", "y": "a + 5", "g": "y + 5", "k": "g + 10", "i": "k + 2", "r": "i + 1", "v": "f + 7", "b": "v + 6", "o": "b + 19", "u": "o + 16", "w": "u + 8", "z": "w + 7", "f": 9}, "premises": {"f": 9}, "target": "r"}, "answer": {"steps": [["a", "f + 9", 18], ["y", "a + 5", 23], ["g", "y + 5", 28]... | 1,225 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = o + 16; a = f + 9; i = k + 2; r = i + 1; k = g + 10; z = w + 7; g = y + 5; o = b + 19; y = a + 5; b = v + 6; f = 9; w = u + 8; v = f + 7. Given that f = 9, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = f + 9, which gives a = 18.\n2. Compute y using y = a + 5, which gives y = 23.\n3. Compute g using g = y + 5, which gives g = 28.\n4. Compute k using k = g + 10, which gives k = 38.\n5. Compute i using i = k + 2, which ... |
{"problem": {"rules": {"u": "p + 18", "x": "u + 2", "h": "x + 11", "q": "h + 20", "y": "q + 12", "f": "y + 6", "n": "p + 19", "w": "n + 11", "m": "w + 15", "a": "m + 15", "s": "a + 12", "t": "s + 11", "p": 17}, "premises": {"p": 17}, "target": "f"}, "answer": {"steps": [["u", "p + 18", 35], ["x", "u + 2", 37], ["h", "x... | 1,226 | 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 = h + 20; f = y + 6; n = p + 19; t = s + 11; m = w + 15; p = 17; y = q + 12; s = a + 12; x = u + 2; h = x + 11; a = m + 15; u = p + 18; w = n + 11. If p = 17, what is the resulting value of f?",
"role": "... | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = p + 18, which gives u = 35.\n2. Compute x using x = u + 2, which gives x = 37.\n3. Compute h using h = x + 11, which gives h = 48.\n4. Compute q using q = h + 20, which gives q = 68.\n5. Compute y using y = q + 12, whi... |
{"problem": {"rules": {"g": "v + 10", "u": "g + 1", "e": "u + 4", "t": "e + 4", "i": "t + 17", "b": "i + 16", "a": "v + 19", "p": "a + 1", "k": "p + 19", "s": "k + 1", "w": "s + 9", "q": "w + 9", "v": 8}, "premises": {"v": 8}, "target": "b"}, "answer": {"steps": [["g", "v + 10", 18], ["u", "g + 1", 19], ["e", "u + 4", ... | 1,227 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = u + 4; i = t + 17; w = s + 9; q = w + 9; g = v + 10; s = k + 1; p = a + 1; u = g + 1; a = v + 19; v = 8; b = i + 16; t = e + 4; k = p + 19. If v = 8, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = v + 10, which gives g = 18.\n2. Compute u using u = g + 1, which gives u = 19.\n3. Compute e using e = u + 4, which gives e = 23.\n4. Compute t using t = e + 4, which gives t = 27.\n5. Compute i using i = t + 17, which... |
{"problem": {"rules": {"t": "j + 8", "d": "t + 14", "s": "d + 14", "x": "s + 12", "r": "x + 10", "f": "r + 6", "g": "j + 6", "o": "g + 2", "l": "o + 8", "k": "l + 18", "i": "k + 18", "w": "i + 1", "j": 8}, "premises": {"j": 8}, "target": "f"}, "answer": {"steps": [["t", "j + 8", 16], ["d", "t + 14", 30], ["s", "d + 14"... | 1,228 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = t + 14; w = i + 1; i = k + 18; t = j + 8; k = l + 18; f = r + 6; o = g + 2; s = d + 14; j = 8; r = x + 10; l = o + 8; g = j + 6; x = s + 12. Given that j = 8, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = j + 8, which gives t = 16.\n2. Compute d using d = t + 14, which gives d = 30.\n3. Compute s using s = d + 14, which gives s = 44.\n4. Compute x using x = s + 12, which gives x = 56.\n5. Compute r using r = x + 10, whi... |
{"problem": {"rules": {"y": "v + 17", "x": "y + 2", "a": "x + 10", "b": "a + 9", "j": "b + 11", "i": "j + 12", "e": "v + 17", "h": "e + 11", "l": "h + 19", "o": "l + 1", "f": "o + 13", "s": "f + 5", "v": 20}, "premises": {"v": 20}, "target": "i"}, "answer": {"steps": [["y", "v + 17", 37], ["x", "y + 2", 39], ["a", "x +... | 1,229 | 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 = a + 9; i = j + 12; l = h + 19; h = e + 11; o = l + 1; e = v + 17; f = o + 13; j = b + 11; v = 20; y = v + 17; x = y + 2; s = f + 5; a = x + 10. If v = 20, what is the resulting value of i?",
"role": "us... | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = v + 17, which gives y = 37.\n2. Compute x using x = y + 2, which gives x = 39.\n3. Compute a using a = x + 10, which gives a = 49.\n4. Compute b using b = a + 9, which gives b = 58.\n5. Compute j using j = b + 11, whic... |
{"problem": {"rules": {"k": "o + 18", "n": "k + 18", "a": "n + 14", "x": "a + 7", "v": "x + 14", "c": "v + 11", "w": "o + 17", "g": "w + 20", "b": "g + 14", "l": "b + 10", "s": "l + 20", "h": "s + 9", "o": 13}, "premises": {"o": 13}, "target": "c"}, "answer": {"steps": [["k", "o + 18", 31], ["n", "k + 18", 49], ["a", "... | 1,230 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = x + 14; b = g + 14; c = v + 11; l = b + 10; w = o + 17; s = l + 20; x = a + 7; a = n + 14; k = o + 18; g = w + 20; h = s + 9; o = 13; n = k + 18. Given that o = 13, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = o + 18, which gives k = 31.\n2. Compute n using n = k + 18, which gives n = 49.\n3. Compute a using a = n + 14, which gives a = 63.\n4. Compute x using x = a + 7, which gives x = 70.\n5. Compute v using v = x + 14, whi... |
{"problem": {"rules": {"k": "y + 15", "r": "k + 6", "m": "r + 1", "n": "m + 7", "z": "n + 19", "s": "z + 2", "e": "y + 1", "w": "e + 2", "l": "w + 7", "b": "l + 19", "p": "b + 12", "j": "p + 12", "y": 15}, "premises": {"y": 15}, "target": "s"}, "answer": {"steps": [["k", "y + 15", 30], ["r", "k + 6", 36], ["m", "r + 1"... | 1,231 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = n + 19; b = l + 19; j = p + 12; s = z + 2; n = m + 7; m = r + 1; k = y + 15; r = k + 6; p = b + 12; l = w + 7; w = e + 2; y = 15; e = y + 1. If y = 15, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = y + 15, which gives k = 30.\n2. Compute r using r = k + 6, which gives r = 36.\n3. Compute m using m = r + 1, which gives m = 37.\n4. Compute n using n = m + 7, which gives n = 44.\n5. Compute z using z = n + 19, which... |
{"problem": {"rules": {"o": "b + 15", "w": "o + 12", "d": "w + 17", "j": "d + 9", "y": "j + 6", "e": "y + 5", "h": "b + 13", "x": "h + 11", "i": "x + 7", "p": "i + 5", "q": "p + 16", "u": "q + 6", "b": 11}, "premises": {"b": 11}, "target": "e"}, "answer": {"steps": [["o", "b + 15", 26], ["w", "o + 12", 38], ["d", "w + ... | 1,232 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = 11; p = i + 5; h = b + 13; x = h + 11; u = q + 6; y = j + 6; e = y + 5; j = d + 9; i = x + 7; d = w + 17; o = b + 15; w = o + 12; q = p + 16. If b = 11, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = b + 15, which gives o = 26.\n2. Compute w using w = o + 12, which gives w = 38.\n3. Compute d using d = w + 17, which gives d = 55.\n4. Compute j using j = d + 9, which gives j = 64.\n5. Compute y using y = j + 6, whic... |
{"problem": {"rules": {"q": "w + 15", "s": "q + 5", "i": "s + 4", "x": "i + 4", "t": "x + 13", "f": "t + 18", "l": "w + 8", "j": "l + 6", "m": "j + 19", "c": "m + 11", "g": "c + 17", "b": "g + 5", "w": 19}, "premises": {"w": 19}, "target": "f"}, "answer": {"steps": [["q", "w + 15", 34], ["s", "q + 5", 39], ["i", "s + 4... | 1,233 | 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 = g + 5; s = q + 5; g = c + 17; f = t + 18; q = w + 15; m = j + 19; w = 19; l = w + 8; c = m + 11; i = s + 4; t = x + 13; x = i + 4; j = l + 6. If w = 19, what is the resulting value of f?",
"role": "user... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = w + 15, which gives q = 34.\n2. Compute s using s = q + 5, which gives s = 39.\n3. Compute i using i = s + 4, which gives i = 43.\n4. Compute x using x = i + 4, which gives x = 47.\n5. Compute t using t = x + 13, which... |
{"problem": {"rules": {"h": "d + 13", "p": "h + 19", "k": "p + 17", "s": "k + 12", "f": "s + 1", "t": "f + 3", "l": "d + 13", "q": "l + 18", "u": "q + 1", "v": "u + 17", "x": "v + 9", "a": "x + 5", "d": 12}, "premises": {"d": 12}, "target": "t"}, "answer": {"steps": [["h", "d + 13", 25], ["p", "h + 19", 44], ["k", "p +... | 1,234 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = k + 12; x = v + 9; k = p + 17; a = x + 5; f = s + 1; u = q + 1; l = d + 13; t = f + 3; h = d + 13; d = 12; p = h + 19; q = l + 18; v = u + 17. Given that d = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = d + 13, which gives h = 25.\n2. Compute p using p = h + 19, which gives p = 44.\n3. Compute k using k = p + 17, which gives k = 61.\n4. Compute s using s = k + 12, which gives s = 73.\n5. Compute f using f = s + 1, whi... |
{"problem": {"rules": {"e": "n + 8", "b": "e + 6", "l": "b + 3", "m": "l + 7", "y": "m + 14", "r": "y + 9", "k": "n + 10", "a": "k + 11", "j": "a + 17", "i": "j + 17", "t": "i + 15", "v": "t + 5", "n": 4}, "premises": {"n": 4}, "target": "r"}, "answer": {"steps": [["e", "n + 8", 12], ["b", "e + 6", 18], ["l", "b + 3", ... | 1,235 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = n + 10; j = a + 17; r = y + 9; a = k + 11; b = e + 6; i = j + 17; v = t + 5; n = 4; l = b + 3; e = n + 8; m = l + 7; y = m + 14; t = i + 15. Given that n = 4, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = n + 8, which gives e = 12.\n2. Compute b using b = e + 6, which gives b = 18.\n3. Compute l using l = b + 3, which gives l = 21.\n4. Compute m using m = l + 7, which gives m = 28.\n5. Compute y using y = m + 14, which ... |
{"problem": {"rules": {"s": "e + 20", "p": "s + 17", "f": "p + 16", "z": "f + 15", "x": "z + 3", "w": "x + 5", "v": "e + 1", "k": "v + 17", "u": "k + 15", "a": "u + 18", "b": "a + 1", "l": "b + 14", "e": 7}, "premises": {"e": 7}, "target": "w"}, "answer": {"steps": [["s", "e + 20", 27], ["p", "s + 17", 44], ["f", "p + ... | 1,236 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 1; b = a + 1; s = e + 20; k = v + 17; f = p + 16; p = s + 17; e = 7; w = x + 5; l = b + 14; a = u + 18; u = k + 15; z = f + 15; x = z + 3. If e = 7, what is the resulting value of w?",
"role": "user... | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = e + 20, which gives s = 27.\n2. Compute p using p = s + 17, which gives p = 44.\n3. Compute f using f = p + 16, which gives f = 60.\n4. Compute z using z = f + 15, which gives z = 75.\n5. Compute x using x = z + 3, whi... |
{"problem": {"rules": {"i": "z + 16", "h": "i + 14", "f": "h + 12", "k": "f + 1", "d": "k + 13", "j": "d + 20", "w": "z + 13", "a": "w + 17", "t": "a + 5", "l": "t + 5", "c": "l + 2", "v": "c + 13", "z": 4}, "premises": {"z": 4}, "target": "j"}, "answer": {"steps": [["i", "z + 16", 20], ["h", "i + 14", 34], ["f", "h + ... | 1,237 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = l + 2; k = f + 1; f = h + 12; a = w + 17; v = c + 13; t = a + 5; d = k + 13; l = t + 5; h = i + 14; i = z + 16; z = 4; j = d + 20; w = z + 13. If z = 4, what is the resulting value of j?",
"role": "user... | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = z + 16, which gives i = 20.\n2. Compute h using h = i + 14, which gives h = 34.\n3. Compute f using f = h + 12, which gives f = 46.\n4. Compute k using k = f + 1, which gives k = 47.\n5. Compute d using d = k + 13, whi... |
{"problem": {"rules": {"x": "p + 5", "t": "x + 17", "r": "t + 9", "g": "r + 19", "w": "g + 13", "l": "w + 20", "h": "p + 16", "z": "h + 14", "i": "z + 4", "b": "i + 19", "n": "b + 6", "s": "n + 8", "p": 8}, "premises": {"p": 8}, "target": "l"}, "answer": {"steps": [["x", "p + 5", 13], ["t", "x + 17", 30], ["r", "t + 9"... | 1,238 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = i + 19; n = b + 6; i = z + 4; p = 8; x = p + 5; g = r + 19; w = g + 13; r = t + 9; h = p + 16; s = n + 8; z = h + 14; t = x + 17; l = w + 20. Given that p = 8, find 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 x using x = p + 5, which gives x = 13.\n2. Compute t using t = x + 17, which gives t = 30.\n3. Compute r using r = t + 9, which gives r = 39.\n4. Compute g using g = r + 19, which gives g = 58.\n5. Compute w using w = g + 13, whic... |
{"problem": {"rules": {"v": "y + 4", "h": "v + 10", "o": "h + 14", "p": "o + 4", "b": "p + 14", "f": "b + 12", "q": "y + 2", "z": "q + 7", "l": "z + 15", "m": "l + 9", "i": "m + 6", "s": "i + 1", "y": 8}, "premises": {"y": 8}, "target": "f"}, "answer": {"steps": [["v", "y + 4", 12], ["h", "v + 10", 22], ["o", "h + 14",... | 1,239 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = o + 4; h = v + 10; y = 8; i = m + 6; z = q + 7; o = h + 14; q = y + 2; m = l + 9; f = b + 12; l = z + 15; s = i + 1; v = y + 4; b = p + 14. If y = 8, what is the resulting value of f?",
"role": "user"
... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = y + 4, which gives v = 12.\n2. Compute h using h = v + 10, which gives h = 22.\n3. Compute o using o = h + 14, which gives o = 36.\n4. Compute p using p = o + 4, which gives p = 40.\n5. Compute b using b = p + 14, whic... |
{"problem": {"rules": {"z": "a + 12", "c": "z + 8", "b": "c + 1", "n": "b + 15", "e": "n + 11", "o": "e + 2", "x": "a + 13", "j": "x + 15", "t": "j + 2", "q": "t + 20", "f": "q + 4", "i": "f + 14", "a": 4}, "premises": {"a": 4}, "target": "o"}, "answer": {"steps": [["z", "a + 12", 16], ["c", "z + 8", 24], ["b", "c + 1"... | 1,240 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = t + 20; o = e + 2; z = a + 12; j = x + 15; b = c + 1; c = z + 8; x = a + 13; a = 4; t = j + 2; f = q + 4; e = n + 11; i = f + 14; n = b + 15. If a = 4, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = a + 12, which gives z = 16.\n2. Compute c using c = z + 8, which gives c = 24.\n3. Compute b using b = c + 1, which gives b = 25.\n4. Compute n using n = b + 15, which gives n = 40.\n5. Compute e using e = n + 11, whic... |
{"problem": {"rules": {"z": "w + 17", "b": "z + 3", "v": "b + 2", "e": "v + 12", "l": "e + 4", "p": "l + 1", "d": "w + 1", "r": "d + 9", "y": "r + 5", "o": "y + 8", "m": "o + 7", "s": "m + 13", "w": 14}, "premises": {"w": 14}, "target": "p"}, "answer": {"steps": [["z", "w + 17", 31], ["b", "z + 3", 34], ["v", "b + 2", ... | 1,241 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = d + 9; v = b + 2; b = z + 3; s = m + 13; d = w + 1; p = l + 1; y = r + 5; l = e + 4; o = y + 8; w = 14; e = v + 12; z = w + 17; m = o + 7. If w = 14, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = w + 17, which gives z = 31.\n2. Compute b using b = z + 3, which gives b = 34.\n3. Compute v using v = b + 2, which gives v = 36.\n4. Compute e using e = v + 12, which gives e = 48.\n5. Compute l using l = e + 4, which... |
{"problem": {"rules": {"n": "w + 6", "b": "n + 5", "p": "b + 1", "v": "p + 8", "m": "v + 8", "g": "m + 7", "i": "w + 2", "c": "i + 4", "l": "c + 17", "q": "l + 10", "k": "q + 11", "d": "k + 19", "w": 11}, "premises": {"w": 11}, "target": "g"}, "answer": {"steps": [["n", "w + 6", 17], ["b", "n + 5", 22], ["p", "b + 1", ... | 1,242 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = k + 19; v = p + 8; i = w + 2; m = v + 8; q = l + 10; p = b + 1; k = q + 11; w = 11; l = c + 17; n = w + 6; b = n + 5; g = m + 7; c = i + 4. If w = 11, determine 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 n using n = w + 6, which gives n = 17.\n2. Compute b using b = n + 5, which gives b = 22.\n3. Compute p using p = b + 1, which gives p = 23.\n4. Compute v using v = p + 8, which gives v = 31.\n5. Compute m using m = v + 8, which g... |
{"problem": {"rules": {"z": "o + 17", "s": "z + 10", "g": "s + 15", "c": "g + 8", "a": "c + 5", "i": "a + 16", "m": "o + 3", "r": "m + 8", "q": "r + 19", "t": "q + 18", "f": "t + 12", "v": "f + 12", "o": 14}, "premises": {"o": 14}, "target": "i"}, "answer": {"steps": [["z", "o + 17", 31], ["s", "z + 10", 41], ["g", "s ... | 1,243 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = c + 5; z = o + 17; c = g + 8; m = o + 3; s = z + 10; t = q + 18; r = m + 8; v = f + 12; q = r + 19; o = 14; f = t + 12; i = a + 16; g = s + 15. If o = 14, determine the value of i.",
"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 = o + 17, which gives z = 31.\n2. Compute s using s = z + 10, which gives s = 41.\n3. Compute g using g = s + 15, which gives g = 56.\n4. Compute c using c = g + 8, which gives c = 64.\n5. Compute a using a = c + 5, whic... |
{"problem": {"rules": {"f": "r + 11", "k": "f + 18", "l": "k + 17", "y": "l + 20", "c": "y + 5", "z": "c + 2", "x": "r + 2", "h": "x + 2", "e": "h + 6", "a": "e + 20", "n": "a + 14", "v": "n + 6", "r": 7}, "premises": {"r": 7}, "target": "z"}, "answer": {"steps": [["f", "r + 11", 18], ["k", "f + 18", 36], ["l", "k + 17... | 1,244 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = 7; y = l + 20; v = n + 6; l = k + 17; z = c + 2; e = h + 6; f = r + 11; a = e + 20; k = f + 18; h = x + 2; c = y + 5; x = r + 2; n = a + 14. Given that r = 7, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = r + 11, which gives f = 18.\n2. Compute k using k = f + 18, which gives k = 36.\n3. Compute l using l = k + 17, which gives l = 53.\n4. Compute y using y = l + 20, which gives y = 73.\n5. Compute c using c = y + 5, whi... |
{"problem": {"rules": {"m": "c + 3", "s": "m + 6", "n": "s + 19", "o": "n + 17", "g": "o + 20", "p": "g + 13", "i": "c + 20", "v": "i + 1", "k": "v + 10", "f": "k + 17", "x": "f + 12", "e": "x + 15", "c": 20}, "premises": {"c": 20}, "target": "p"}, "answer": {"steps": [["m", "c + 3", 23], ["s", "m + 6", 29], ["n", "s +... | 1,245 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = c + 3; s = m + 6; n = s + 19; v = i + 1; p = g + 13; c = 20; i = c + 20; o = n + 17; f = k + 17; k = v + 10; x = f + 12; e = x + 15; g = o + 20. Given that c = 20, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = c + 3, which gives m = 23.\n2. Compute s using s = m + 6, which gives s = 29.\n3. Compute n using n = s + 19, which gives n = 48.\n4. Compute o using o = n + 17, which gives o = 65.\n5. Compute g using g = o + 20, whic... |
{"problem": {"rules": {"b": "h + 8", "e": "b + 20", "y": "e + 1", "z": "y + 8", "r": "z + 14", "d": "r + 2", "j": "h + 2", "k": "j + 4", "q": "k + 8", "v": "q + 3", "i": "v + 5", "g": "i + 6", "h": 19}, "premises": {"h": 19}, "target": "d"}, "answer": {"steps": [["b", "h + 8", 27], ["e", "b + 20", 47], ["y", "e + 1", 4... | 1,246 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = e + 1; q = k + 8; g = i + 6; v = q + 3; k = j + 4; r = z + 14; i = v + 5; j = h + 2; e = b + 20; h = 19; b = h + 8; d = r + 2; z = y + 8. Given that h = 19, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = h + 8, which gives b = 27.\n2. Compute e using e = b + 20, which gives e = 47.\n3. Compute y using y = e + 1, which gives y = 48.\n4. Compute z using z = y + 8, which gives z = 56.\n5. Compute r using r = z + 14, which... |
{"problem": {"rules": {"x": "g + 7", "c": "x + 18", "n": "c + 14", "s": "n + 9", "z": "s + 7", "a": "z + 4", "d": "g + 1", "l": "d + 20", "q": "l + 15", "o": "q + 18", "t": "o + 1", "p": "t + 20", "g": 14}, "premises": {"g": 14}, "target": "a"}, "answer": {"steps": [["x", "g + 7", 21], ["c", "x + 18", 39], ["n", "c + 1... | 1,247 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = 14; n = c + 14; o = q + 18; c = x + 18; l = d + 20; a = z + 4; d = g + 1; p = t + 20; q = l + 15; t = o + 1; z = s + 7; x = g + 7; s = n + 9. If g = 14, what is the resulting value of a?",
"role": "user... | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = g + 7, which gives x = 21.\n2. Compute c using c = x + 18, which gives c = 39.\n3. Compute n using n = c + 14, which gives n = 53.\n4. Compute s using s = n + 9, which gives s = 62.\n5. Compute z using z = s + 7, which... |
{"problem": {"rules": {"z": "t + 7", "k": "z + 15", "d": "k + 15", "o": "d + 19", "e": "o + 20", "n": "e + 17", "h": "t + 18", "j": "h + 1", "y": "j + 10", "b": "y + 8", "i": "b + 13", "v": "i + 9", "t": 2}, "premises": {"t": 2}, "target": "n"}, "answer": {"steps": [["z", "t + 7", 9], ["k", "z + 15", 24], ["d", "k + 15... | 1,248 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = i + 9; i = b + 13; o = d + 19; d = k + 15; y = j + 10; n = e + 17; h = t + 18; e = o + 20; k = z + 15; z = t + 7; b = y + 8; j = h + 1; t = 2. Given that t = 2, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = t + 7, which gives z = 9.\n2. Compute k using k = z + 15, which gives k = 24.\n3. Compute d using d = k + 15, which gives d = 39.\n4. Compute o using o = d + 19, which gives o = 58.\n5. Compute e using e = o + 20, whic... |
{"problem": {"rules": {"p": "d + 4", "z": "p + 16", "x": "z + 17", "t": "x + 17", "l": "t + 19", "q": "l + 14", "o": "d + 1", "k": "o + 17", "b": "k + 4", "r": "b + 18", "g": "r + 16", "f": "g + 4", "d": 14}, "premises": {"d": 14}, "target": "q"}, "answer": {"steps": [["p", "d + 4", 18], ["z", "p + 16", 34], ["x", "z +... | 1,249 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 4; x = z + 17; f = g + 4; o = d + 1; l = t + 19; d = 14; k = o + 17; r = b + 18; g = r + 16; t = x + 17; q = l + 14; z = p + 16; p = d + 4. If d = 14, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = d + 4, which gives p = 18.\n2. Compute z using z = p + 16, which gives z = 34.\n3. Compute x using x = z + 17, which gives x = 51.\n4. Compute t using t = x + 17, which gives t = 68.\n5. Compute l using l = t + 19, whi... |
{"problem": {"rules": {"s": "q + 12", "g": "s + 6", "w": "g + 7", "y": "w + 5", "m": "y + 9", "c": "m + 17", "n": "q + 2", "i": "n + 18", "k": "i + 1", "p": "k + 13", "d": "p + 4", "e": "d + 4", "q": 8}, "premises": {"q": 8}, "target": "c"}, "answer": {"steps": [["s", "q + 12", 20], ["g", "s + 6", 26], ["w", "g + 7", 3... | 1,250 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = q + 12; g = s + 6; y = w + 5; w = g + 7; d = p + 4; m = y + 9; q = 8; k = i + 1; n = q + 2; p = k + 13; i = n + 18; e = d + 4; c = m + 17. If q = 8, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = q + 12, which gives s = 20.\n2. Compute g using g = s + 6, which gives g = 26.\n3. Compute w using w = g + 7, which gives w = 33.\n4. Compute y using y = w + 5, which gives y = 38.\n5. Compute m using m = y + 9, which ... |
{"problem": {"rules": {"b": "j + 2", "c": "b + 13", "d": "c + 7", "r": "d + 17", "m": "r + 17", "x": "m + 6", "h": "j + 1", "k": "h + 13", "p": "k + 15", "g": "p + 13", "e": "g + 10", "w": "e + 13", "j": 8}, "premises": {"j": 8}, "target": "x"}, "answer": {"steps": [["b", "j + 2", 10], ["c", "b + 13", 23], ["d", "c + 7... | 1,251 | 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 = j + 2; d = c + 7; r = d + 17; c = b + 13; j = 8; k = h + 13; e = g + 10; g = p + 13; m = r + 17; p = k + 15; x = m + 6; h = j + 1; w = e + 13. If j = 8, what is the resulting value of x?",
"role": "user... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = j + 2, which gives b = 10.\n2. Compute c using c = b + 13, which gives c = 23.\n3. Compute d using d = c + 7, which gives d = 30.\n4. Compute r using r = d + 17, which gives r = 47.\n5. Compute m using m = r + 17, whic... |
{"problem": {"rules": {"g": "p + 6", "u": "g + 9", "m": "u + 15", "q": "m + 11", "d": "q + 1", "l": "d + 20", "f": "p + 13", "c": "f + 18", "h": "c + 6", "z": "h + 2", "n": "z + 10", "s": "n + 7", "p": 7}, "premises": {"p": 7}, "target": "l"}, "answer": {"steps": [["g", "p + 6", 13], ["u", "g + 9", 22], ["m", "u + 15",... | 1,252 | 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 + 2; q = m + 11; f = p + 13; h = c + 6; s = n + 7; c = f + 18; u = g + 9; d = q + 1; n = z + 10; l = d + 20; g = p + 6; p = 7; m = u + 15. If p = 7, what is the resulting value of l?",
"role": "user"
... | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = p + 6, which gives g = 13.\n2. Compute u using u = g + 9, which gives u = 22.\n3. Compute m using m = u + 15, which gives m = 37.\n4. Compute q using q = m + 11, which gives q = 48.\n5. Compute d using d = q + 1, which... |
{"problem": {"rules": {"f": "l + 13", "i": "f + 8", "g": "i + 3", "t": "g + 7", "m": "t + 2", "v": "m + 10", "w": "l + 10", "b": "w + 15", "e": "b + 19", "h": "e + 6", "u": "h + 17", "q": "u + 6", "l": 9}, "premises": {"l": 9}, "target": "v"}, "answer": {"steps": [["f", "l + 13", 22], ["i", "f + 8", 30], ["g", "i + 3",... | 1,253 | 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 = 9; i = f + 8; g = i + 3; v = m + 10; q = u + 6; w = l + 10; m = t + 2; u = h + 17; b = w + 15; t = g + 7; e = b + 19; f = l + 13; h = e + 6. If l = 9, what is the resulting value of v?",
"role": "user"
... | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = l + 13, which gives f = 22.\n2. Compute i using i = f + 8, which gives i = 30.\n3. Compute g using g = i + 3, which gives g = 33.\n4. Compute t using t = g + 7, which gives t = 40.\n5. Compute m using m = t + 2, which ... |
{"problem": {"rules": {"u": "p + 8", "v": "u + 20", "y": "v + 13", "i": "y + 9", "e": "i + 9", "q": "e + 14", "k": "p + 13", "j": "k + 17", "d": "j + 7", "h": "d + 19", "r": "h + 15", "b": "r + 19", "p": 16}, "premises": {"p": 16}, "target": "q"}, "answer": {"steps": [["u", "p + 8", 24], ["v", "u + 20", 44], ["y", "v +... | 1,254 | 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 = v + 13; i = y + 9; k = p + 13; b = r + 19; q = e + 14; e = i + 9; d = j + 7; j = k + 17; u = p + 8; v = u + 20; r = h + 15; h = d + 19; p = 16. If p = 16, what is the resulting value of q?",
"role": "us... | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = p + 8, which gives u = 24.\n2. Compute v using v = u + 20, which gives v = 44.\n3. Compute y using y = v + 13, which gives y = 57.\n4. Compute i using i = y + 9, which gives i = 66.\n5. Compute e using e = i + 9, which... |
{"problem": {"rules": {"h": "s + 11", "v": "h + 9", "z": "v + 12", "k": "z + 11", "p": "k + 13", "u": "p + 20", "b": "s + 5", "t": "b + 16", "q": "t + 17", "n": "q + 18", "i": "n + 13", "a": "i + 14", "s": 1}, "premises": {"s": 1}, "target": "u"}, "answer": {"steps": [["h", "s + 11", 12], ["v", "h + 9", 21], ["z", "v +... | 1,255 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = b + 16; n = q + 18; h = s + 11; v = h + 9; z = v + 12; p = k + 13; a = i + 14; k = z + 11; u = p + 20; q = t + 17; i = n + 13; s = 1; b = s + 5. Given that s = 1, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = s + 11, which gives h = 12.\n2. Compute v using v = h + 9, which gives v = 21.\n3. Compute z using z = v + 12, which gives z = 33.\n4. Compute k using k = z + 11, which gives k = 44.\n5. Compute p using p = k + 13, whi... |
{"problem": {"rules": {"y": "f + 4", "h": "y + 18", "i": "h + 6", "n": "i + 20", "c": "n + 2", "r": "c + 17", "a": "f + 16", "o": "a + 18", "x": "o + 1", "t": "x + 2", "e": "t + 3", "u": "e + 2", "f": 5}, "premises": {"f": 5}, "target": "r"}, "answer": {"steps": [["y", "f + 4", 9], ["h", "y + 18", 27], ["i", "h + 6", 3... | 1,256 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 5; y = f + 4; n = i + 20; i = h + 6; x = o + 1; a = f + 16; h = y + 18; c = n + 2; o = a + 18; e = t + 3; t = x + 2; r = c + 17; u = e + 2. Given that f = 5, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = f + 4, which gives y = 9.\n2. Compute h using h = y + 18, which gives h = 27.\n3. Compute i using i = h + 6, which gives i = 33.\n4. Compute n using n = i + 20, which gives n = 53.\n5. Compute c using c = n + 2, which ... |
{"problem": {"rules": {"s": "v + 5", "c": "s + 6", "e": "c + 20", "u": "e + 10", "q": "u + 12", "b": "q + 1", "o": "v + 13", "i": "o + 15", "t": "i + 10", "w": "t + 10", "k": "w + 8", "p": "k + 15", "v": 11}, "premises": {"v": 11}, "target": "b"}, "answer": {"steps": [["s", "v + 5", 16], ["c", "s + 6", 22], ["e", "c + ... | 1,257 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = t + 10; v = 11; e = c + 20; i = o + 15; q = u + 12; p = k + 15; k = w + 8; b = q + 1; t = i + 10; o = v + 13; c = s + 6; s = v + 5; u = e + 10. If v = 11, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = v + 5, which gives s = 16.\n2. Compute c using c = s + 6, which gives c = 22.\n3. Compute e using e = c + 20, which gives e = 42.\n4. Compute u using u = e + 10, which gives u = 52.\n5. Compute q using q = u + 12, whic... |
{"problem": {"rules": {"m": "g + 8", "y": "m + 9", "u": "y + 12", "s": "u + 20", "v": "s + 3", "l": "v + 8", "e": "g + 18", "w": "e + 11", "n": "w + 12", "a": "n + 11", "d": "a + 13", "t": "d + 5", "g": 2}, "premises": {"g": 2}, "target": "l"}, "answer": {"steps": [["m", "g + 8", 10], ["y", "m + 9", 19], ["u", "y + 12"... | 1,258 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = y + 12; t = d + 5; l = v + 8; y = m + 9; d = a + 13; a = n + 11; g = 2; s = u + 20; e = g + 18; m = g + 8; w = e + 11; n = w + 12; v = s + 3. Given that g = 2, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = g + 8, which gives m = 10.\n2. Compute y using y = m + 9, which gives y = 19.\n3. Compute u using u = y + 12, which gives u = 31.\n4. Compute s using s = u + 20, which gives s = 51.\n5. Compute v using v = s + 3, which... |
{"problem": {"rules": {"i": "v + 5", "n": "i + 8", "u": "n + 2", "h": "u + 19", "w": "h + 1", "t": "w + 15", "m": "v + 9", "c": "m + 1", "f": "c + 9", "s": "f + 1", "e": "s + 7", "d": "e + 16", "v": 5}, "premises": {"v": 5}, "target": "t"}, "answer": {"steps": [["i", "v + 5", 10], ["n", "i + 8", 18], ["u", "n + 2", 20]... | 1,259 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = h + 1; s = f + 1; u = n + 2; v = 5; i = v + 5; e = s + 7; f = c + 9; t = w + 15; m = v + 9; n = i + 8; h = u + 19; d = e + 16; c = m + 1. If v = 5, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = v + 5, which gives i = 10.\n2. Compute n using n = i + 8, which gives n = 18.\n3. Compute u using u = n + 2, which gives u = 20.\n4. Compute h using h = u + 19, which gives h = 39.\n5. Compute w using w = h + 1, which ... |
{"problem": {"rules": {"i": "s + 3", "q": "i + 1", "d": "q + 1", "c": "d + 7", "m": "c + 10", "v": "m + 11", "u": "s + 8", "j": "u + 16", "r": "j + 15", "a": "r + 4", "k": "a + 12", "w": "k + 8", "s": 3}, "premises": {"s": 3}, "target": "v"}, "answer": {"steps": [["i", "s + 3", 6], ["q", "i + 1", 7], ["d", "q + 1", 8],... | 1,260 | 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 = q + 1; c = d + 7; m = c + 10; q = i + 1; r = j + 15; v = m + 11; s = 3; w = k + 8; i = s + 3; j = u + 16; a = r + 4; k = a + 12; u = s + 8. If s = 3, what is the resulting value of v?",
"role": "user"
... | math | {
"ground_truth": 36,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = s + 3, which gives i = 6.\n2. Compute q using q = i + 1, which gives q = 7.\n3. Compute d using d = q + 1, which gives d = 8.\n4. Compute c using c = d + 7, which gives c = 15.\n5. Compute m using m = c + 10, which giv... |
{"problem": {"rules": {"f": "a + 9", "x": "f + 14", "b": "x + 8", "h": "b + 3", "m": "h + 11", "j": "m + 17", "z": "a + 1", "s": "z + 9", "l": "s + 11", "y": "l + 18", "n": "y + 16", "u": "n + 6", "a": 19}, "premises": {"a": 19}, "target": "j"}, "answer": {"steps": [["f", "a + 9", 28], ["x", "f + 14", 42], ["b", "x + 8... | 1,261 | 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 = s + 11; h = b + 3; j = m + 17; u = n + 6; z = a + 1; f = a + 9; m = h + 11; n = y + 16; b = x + 8; x = f + 14; y = l + 18; s = z + 9; a = 19. If a = 19, what is the resulting value of j?",
"role": "user... | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = a + 9, which gives f = 28.\n2. Compute x using x = f + 14, which gives x = 42.\n3. Compute b using b = x + 8, which gives b = 50.\n4. Compute h using h = b + 3, which gives h = 53.\n5. Compute m using m = h + 11, which... |
{"problem": {"rules": {"j": "a + 9", "y": "j + 11", "v": "y + 14", "s": "v + 19", "r": "s + 16", "c": "r + 16", "u": "a + 2", "i": "u + 1", "e": "i + 11", "m": "e + 10", "z": "m + 9", "b": "z + 10", "a": 4}, "premises": {"a": 4}, "target": "c"}, "answer": {"steps": [["j", "a + 9", 13], ["y", "j + 11", 24], ["v", "y + 1... | 1,262 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = v + 19; c = r + 16; v = y + 14; b = z + 10; a = 4; e = i + 11; u = a + 2; y = j + 11; r = s + 16; i = u + 1; m = e + 10; j = a + 9; z = m + 9. If a = 4, what is the resulting value of c?",
"role": "user... | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = a + 9, which gives j = 13.\n2. Compute y using y = j + 11, which gives y = 24.\n3. Compute v using v = y + 14, which gives v = 38.\n4. Compute s using s = v + 19, which gives s = 57.\n5. Compute r using r = s + 16, whi... |
{"problem": {"rules": {"a": "j + 2", "p": "a + 16", "l": "p + 5", "w": "l + 11", "u": "w + 9", "f": "u + 20", "i": "j + 1", "h": "i + 11", "m": "h + 5", "k": "m + 20", "q": "k + 5", "y": "q + 17", "j": 17}, "premises": {"j": 17}, "target": "f"}, "answer": {"steps": [["a", "j + 2", 19], ["p", "a + 16", 35], ["l", "p + 5... | 1,263 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = u + 20; h = i + 11; u = w + 9; k = m + 20; q = k + 5; l = p + 5; a = j + 2; w = l + 11; p = a + 16; y = q + 17; j = 17; m = h + 5; i = j + 1. If j = 17, 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 a using a = j + 2, which gives a = 19.\n2. Compute p using p = a + 16, which gives p = 35.\n3. Compute l using l = p + 5, which gives l = 40.\n4. Compute w using w = l + 11, which gives w = 51.\n5. Compute u using u = w + 9, which... |
{"problem": {"rules": {"a": "t + 13", "i": "a + 1", "p": "i + 9", "d": "p + 7", "g": "d + 13", "q": "g + 7", "n": "t + 13", "v": "n + 11", "c": "v + 6", "m": "c + 11", "l": "m + 3", "y": "l + 13", "t": 2}, "premises": {"t": 2}, "target": "q"}, "answer": {"steps": [["a", "t + 13", 15], ["i", "a + 1", 16], ["p", "i + 9",... | 1,264 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = t + 13; q = g + 7; g = d + 13; y = l + 13; d = p + 7; i = a + 1; p = i + 9; t = 2; a = t + 13; v = n + 11; m = c + 11; l = m + 3; c = v + 6. Given that t = 2, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = t + 13, which gives a = 15.\n2. Compute i using i = a + 1, which gives i = 16.\n3. Compute p using p = i + 9, which gives p = 25.\n4. Compute d using d = p + 7, which gives d = 32.\n5. Compute g using g = d + 13, which... |
{"problem": {"rules": {"p": "i + 20", "h": "p + 8", "q": "h + 15", "s": "q + 11", "f": "s + 10", "b": "f + 12", "v": "i + 13", "k": "v + 1", "w": "k + 2", "e": "w + 13", "y": "e + 16", "u": "y + 1", "i": 8}, "premises": {"i": 8}, "target": "b"}, "answer": {"steps": [["p", "i + 20", 28], ["h", "p + 8", 36], ["q", "h + 1... | 1,265 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 8; f = s + 10; k = v + 1; b = f + 12; v = i + 13; p = i + 20; y = e + 16; e = w + 13; h = p + 8; s = q + 11; q = h + 15; w = k + 2; u = y + 1. If i = 8, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = i + 20, which gives p = 28.\n2. Compute h using h = p + 8, which gives h = 36.\n3. Compute q using q = h + 15, which gives q = 51.\n4. Compute s using s = q + 11, which gives s = 62.\n5. Compute f using f = s + 10, whi... |
{"problem": {"rules": {"h": "y + 20", "z": "h + 13", "x": "z + 5", "o": "x + 10", "d": "o + 19", "l": "d + 16", "k": "y + 17", "n": "k + 9", "j": "n + 8", "e": "j + 16", "v": "e + 11", "c": "v + 5", "y": 13}, "premises": {"y": 13}, "target": "l"}, "answer": {"steps": [["h", "y + 20", 33], ["z", "h + 13", 46], ["x", "z ... | 1,266 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = d + 16; y = 13; o = x + 10; h = y + 20; d = o + 19; k = y + 17; e = j + 16; j = n + 8; v = e + 11; n = k + 9; z = h + 13; c = v + 5; x = z + 5. If y = 13, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = y + 20, which gives h = 33.\n2. Compute z using z = h + 13, which gives z = 46.\n3. Compute x using x = z + 5, which gives x = 51.\n4. Compute o using o = x + 10, which gives o = 61.\n5. Compute d using d = o + 19, whi... |
{"problem": {"rules": {"v": "q + 1", "z": "v + 15", "h": "z + 9", "o": "h + 18", "l": "o + 7", "p": "l + 12", "r": "q + 19", "f": "r + 3", "m": "f + 7", "n": "m + 4", "g": "n + 14", "k": "g + 16", "q": 13}, "premises": {"q": 13}, "target": "p"}, "answer": {"steps": [["v", "q + 1", 14], ["z", "v + 15", 29], ["h", "z + 9... | 1,267 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = l + 12; l = o + 7; f = r + 3; h = z + 9; z = v + 15; n = m + 4; v = q + 1; m = f + 7; r = q + 19; g = n + 14; k = g + 16; q = 13; o = h + 18. Given that q = 13, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = q + 1, which gives v = 14.\n2. Compute z using z = v + 15, which gives z = 29.\n3. Compute h using h = z + 9, which gives h = 38.\n4. Compute o using o = h + 18, which gives o = 56.\n5. Compute l using l = o + 7, which... |
{"problem": {"rules": {"o": "d + 3", "u": "o + 6", "j": "u + 10", "g": "j + 10", "p": "g + 1", "f": "p + 20", "l": "d + 1", "c": "l + 10", "t": "c + 4", "a": "t + 5", "q": "a + 11", "h": "q + 4", "d": 6}, "premises": {"d": 6}, "target": "f"}, "answer": {"steps": [["o", "d + 3", 9], ["u", "o + 6", 15], ["j", "u + 10", 2... | 1,268 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = 6; t = c + 4; a = t + 5; l = d + 1; p = g + 1; c = l + 10; g = j + 10; h = q + 4; u = o + 6; o = d + 3; j = u + 10; q = a + 11; f = p + 20. If d = 6, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = d + 3, which gives o = 9.\n2. Compute u using u = o + 6, which gives u = 15.\n3. Compute j using j = u + 10, which gives j = 25.\n4. Compute g using g = j + 10, which gives g = 35.\n5. Compute p using p = g + 1, which ... |
{"problem": {"rules": {"o": "q + 6", "z": "o + 19", "y": "z + 12", "u": "y + 3", "t": "u + 3", "d": "t + 2", "h": "q + 4", "e": "h + 12", "n": "e + 12", "g": "n + 19", "x": "g + 20", "m": "x + 3", "q": 13}, "premises": {"q": 13}, "target": "d"}, "answer": {"steps": [["o", "q + 6", 19], ["z", "o + 19", 38], ["y", "z + 1... | 1,269 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = h + 12; t = u + 3; n = e + 12; o = q + 6; z = o + 19; d = t + 2; m = x + 3; x = g + 20; q = 13; y = z + 12; u = y + 3; h = q + 4; g = n + 19. If q = 13, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = q + 6, which gives o = 19.\n2. Compute z using z = o + 19, which gives z = 38.\n3. Compute y using y = z + 12, which gives y = 50.\n4. Compute u using u = y + 3, which gives u = 53.\n5. Compute t using t = u + 3, which... |
{"problem": {"rules": {"c": "z + 19", "o": "c + 18", "p": "o + 8", "e": "p + 18", "w": "e + 11", "u": "w + 6", "v": "z + 14", "d": "v + 19", "s": "d + 1", "n": "s + 14", "j": "n + 19", "q": "j + 13", "z": 1}, "premises": {"z": 1}, "target": "u"}, "answer": {"steps": [["c", "z + 19", 20], ["o", "c + 18", 38], ["p", "o +... | 1,270 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = o + 8; v = z + 14; j = n + 19; u = w + 6; c = z + 19; w = e + 11; o = c + 18; e = p + 18; d = v + 19; n = s + 14; z = 1; q = j + 13; s = d + 1. If z = 1, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = z + 19, which gives c = 20.\n2. Compute o using o = c + 18, which gives o = 38.\n3. Compute p using p = o + 8, which gives p = 46.\n4. Compute e using e = p + 18, which gives e = 64.\n5. Compute w using w = e + 11, whi... |
{"problem": {"rules": {"i": "g + 16", "x": "i + 1", "j": "x + 13", "c": "j + 18", "w": "c + 10", "t": "w + 18", "q": "g + 13", "u": "q + 18", "d": "u + 20", "a": "d + 5", "p": "a + 4", "l": "p + 11", "g": 14}, "premises": {"g": 14}, "target": "t"}, "answer": {"steps": [["i", "g + 16", 30], ["x", "i + 1", 31], ["j", "x ... | 1,271 | 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 = c + 10; c = j + 18; j = x + 13; i = g + 16; u = q + 18; t = w + 18; p = a + 4; l = p + 11; d = u + 20; a = d + 5; q = g + 13; x = i + 1; g = 14. If g = 14, what is the resulting value of t?",
"role": "u... | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = g + 16, which gives i = 30.\n2. Compute x using x = i + 1, which gives x = 31.\n3. Compute j using j = x + 13, which gives j = 44.\n4. Compute c using c = j + 18, which gives c = 62.\n5. Compute w using w = c + 10, whi... |
{"problem": {"rules": {"a": "d + 20", "j": "a + 9", "t": "j + 4", "q": "t + 17", "v": "q + 18", "p": "v + 16", "w": "d + 9", "b": "w + 7", "k": "b + 4", "r": "k + 1", "n": "r + 15", "x": "n + 1", "d": 18}, "premises": {"d": 18}, "target": "p"}, "answer": {"steps": [["a", "d + 20", 38], ["j", "a + 9", 47], ["t", "j + 4"... | 1,272 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = q + 18; p = v + 16; r = k + 1; n = r + 15; k = b + 4; j = a + 9; w = d + 9; d = 18; b = w + 7; a = d + 20; t = j + 4; x = n + 1; q = t + 17. If d = 18, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = d + 20, which gives a = 38.\n2. Compute j using j = a + 9, which gives j = 47.\n3. Compute t using t = j + 4, which gives t = 51.\n4. Compute q using q = t + 17, which gives q = 68.\n5. Compute v using v = q + 18, whic... |
{"problem": {"rules": {"l": "r + 6", "g": "l + 9", "e": "g + 16", "w": "e + 9", "z": "w + 10", "j": "z + 10", "a": "r + 6", "b": "a + 18", "v": "b + 10", "n": "v + 13", "i": "n + 17", "d": "i + 5", "r": 12}, "premises": {"r": 12}, "target": "j"}, "answer": {"steps": [["l", "r + 6", 18], ["g", "l + 9", 27], ["e", "g + 1... | 1,273 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = a + 18; l = r + 6; a = r + 6; v = b + 10; g = l + 9; d = i + 5; j = z + 10; e = g + 16; w = e + 9; i = n + 17; z = w + 10; r = 12; n = v + 13. If r = 12, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = r + 6, which gives l = 18.\n2. Compute g using g = l + 9, which gives g = 27.\n3. Compute e using e = g + 16, which gives e = 43.\n4. Compute w using w = e + 9, which gives w = 52.\n5. Compute z using z = w + 10, which... |
{"problem": {"rules": {"y": "j + 12", "b": "y + 16", "u": "b + 5", "s": "u + 9", "d": "s + 1", "p": "d + 6", "w": "j + 9", "e": "w + 16", "h": "e + 18", "z": "h + 15", "q": "z + 6", "o": "q + 16", "j": 13}, "premises": {"j": 13}, "target": "p"}, "answer": {"steps": [["y", "j + 12", 25], ["b", "y + 16", 41], ["u", "b + ... | 1,274 | 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 + 15; s = u + 9; b = y + 16; y = j + 12; d = s + 1; p = d + 6; o = q + 16; u = b + 5; j = 13; q = z + 6; h = e + 18; w = j + 9; e = w + 16. If j = 13, 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 y using y = j + 12, which gives y = 25.\n2. Compute b using b = y + 16, which gives b = 41.\n3. Compute u using u = b + 5, which gives u = 46.\n4. Compute s using s = u + 9, which gives s = 55.\n5. Compute d using d = s + 1, which... |
{"problem": {"rules": {"o": "s + 16", "m": "o + 15", "w": "m + 4", "b": "w + 2", "k": "b + 6", "v": "k + 16", "e": "s + 15", "x": "e + 2", "u": "x + 9", "l": "u + 16", "n": "l + 16", "q": "n + 15", "s": 9}, "premises": {"s": 9}, "target": "v"}, "answer": {"steps": [["o", "s + 16", 25], ["m", "o + 15", 40], ["w", "m + 4... | 1,275 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = x + 9; k = b + 6; o = s + 16; m = o + 15; s = 9; e = s + 15; w = m + 4; l = u + 16; b = w + 2; v = k + 16; x = e + 2; n = l + 16; q = n + 15. Given that s = 9, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = s + 16, which gives o = 25.\n2. Compute m using m = o + 15, which gives m = 40.\n3. Compute w using w = m + 4, which gives w = 44.\n4. Compute b using b = w + 2, which gives b = 46.\n5. Compute k using k = b + 6, which... |
{"problem": {"rules": {"l": "w + 4", "h": "l + 14", "j": "h + 19", "q": "j + 14", "a": "q + 14", "e": "a + 20", "z": "w + 1", "t": "z + 6", "g": "t + 19", "r": "g + 2", "c": "r + 18", "f": "c + 1", "w": 7}, "premises": {"w": 7}, "target": "e"}, "answer": {"steps": [["l", "w + 4", 11], ["h", "l + 14", 25], ["j", "h + 19... | 1,276 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = t + 19; z = w + 1; h = l + 14; j = h + 19; c = r + 18; f = c + 1; a = q + 14; r = g + 2; e = a + 20; w = 7; t = z + 6; q = j + 14; l = w + 4. If w = 7, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = w + 4, which gives l = 11.\n2. Compute h using h = l + 14, which gives h = 25.\n3. Compute j using j = h + 19, which gives j = 44.\n4. Compute q using q = j + 14, which gives q = 58.\n5. Compute a using a = q + 14, whi... |
{"problem": {"rules": {"p": "o + 5", "d": "p + 14", "c": "d + 9", "g": "c + 4", "i": "g + 15", "x": "i + 4", "t": "o + 4", "q": "t + 16", "y": "q + 7", "m": "y + 14", "z": "m + 17", "r": "z + 3", "o": 11}, "premises": {"o": 11}, "target": "x"}, "answer": {"steps": [["p", "o + 5", 16], ["d", "p + 14", 30], ["c", "d + 9"... | 1,277 | 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 = y + 14; r = z + 3; t = o + 4; y = q + 7; g = c + 4; x = i + 4; c = d + 9; i = g + 15; z = m + 17; p = o + 5; q = t + 16; o = 11; d = p + 14. If o = 11, what is the resulting value of x?",
"role": "user"... | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = o + 5, which gives p = 16.\n2. Compute d using d = p + 14, which gives d = 30.\n3. Compute c using c = d + 9, which gives c = 39.\n4. Compute g using g = c + 4, which gives g = 43.\n5. Compute i using i = g + 15, which... |
{"problem": {"rules": {"f": "s + 10", "v": "f + 16", "e": "v + 9", "y": "e + 19", "u": "y + 19", "g": "u + 8", "t": "s + 18", "n": "t + 20", "o": "n + 17", "b": "o + 5", "x": "b + 10", "j": "x + 6", "s": 18}, "premises": {"s": 18}, "target": "g"}, "answer": {"steps": [["f", "s + 10", 28], ["v", "f + 16", 44], ["e", "v ... | 1,278 | 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 = n + 17; n = t + 20; u = y + 19; j = x + 6; x = b + 10; t = s + 18; s = 18; v = f + 16; y = e + 19; e = v + 9; f = s + 10; b = o + 5; g = u + 8. If s = 18, what is the resulting value of g?",
"role": "us... | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = s + 10, which gives f = 28.\n2. Compute v using v = f + 16, which gives v = 44.\n3. Compute e using e = v + 9, which gives e = 53.\n4. Compute y using y = e + 19, which gives y = 72.\n5. Compute u using u = y + 19, whi... |
{"problem": {"rules": {"o": "s + 11", "z": "o + 13", "r": "z + 13", "j": "r + 11", "p": "j + 8", "l": "p + 2", "y": "s + 8", "h": "y + 14", "k": "h + 17", "b": "k + 5", "f": "b + 3", "i": "f + 10", "s": 6}, "premises": {"s": 6}, "target": "l"}, "answer": {"steps": [["o", "s + 11", 17], ["z", "o + 13", 30], ["r", "z + 1... | 1,279 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = 6; j = r + 11; z = o + 13; b = k + 5; r = z + 13; i = f + 10; o = s + 11; l = p + 2; p = j + 8; h = y + 14; f = b + 3; k = h + 17; y = s + 8. Given that s = 6, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = s + 11, which gives o = 17.\n2. Compute z using z = o + 13, which gives z = 30.\n3. Compute r using r = z + 13, which gives r = 43.\n4. Compute j using j = r + 11, which gives j = 54.\n5. Compute p using p = j + 8, whi... |
{"problem": {"rules": {"n": "x + 4", "z": "n + 14", "m": "z + 1", "v": "m + 2", "w": "v + 16", "c": "w + 14", "y": "x + 8", "e": "y + 17", "a": "e + 14", "k": "a + 8", "l": "k + 16", "h": "l + 11", "x": 18}, "premises": {"x": 18}, "target": "c"}, "answer": {"steps": [["n", "x + 4", 22], ["z", "n + 14", 36], ["m", "z + ... | 1,280 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = w + 14; n = x + 4; x = 18; z = n + 14; k = a + 8; v = m + 2; l = k + 16; w = v + 16; a = e + 14; e = y + 17; m = z + 1; y = x + 8; h = l + 11. If x = 18, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = x + 4, which gives n = 22.\n2. Compute z using z = n + 14, which gives z = 36.\n3. Compute m using m = z + 1, which gives m = 37.\n4. Compute v using v = m + 2, which gives v = 39.\n5. Compute w using w = v + 16, which... |
{"problem": {"rules": {"w": "s + 12", "g": "w + 12", "t": "g + 16", "m": "t + 10", "q": "m + 8", "p": "q + 9", "l": "s + 1", "b": "l + 18", "y": "b + 2", "c": "y + 5", "e": "c + 19", "f": "e + 4", "s": 10}, "premises": {"s": 10}, "target": "p"}, "answer": {"steps": [["w", "s + 12", 22], ["g", "w + 12", 34], ["t", "g + ... | 1,281 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = e + 4; t = g + 16; c = y + 5; m = t + 10; g = w + 12; y = b + 2; s = 10; w = s + 12; q = m + 8; p = q + 9; l = s + 1; e = c + 19; b = l + 18. If s = 10, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = s + 12, which gives w = 22.\n2. Compute g using g = w + 12, which gives g = 34.\n3. Compute t using t = g + 16, which gives t = 50.\n4. Compute m using m = t + 10, which gives m = 60.\n5. Compute q using q = m + 8, whi... |
{"problem": {"rules": {"b": "g + 20", "w": "b + 4", "a": "w + 11", "h": "a + 14", "j": "h + 6", "e": "j + 8", "f": "g + 17", "m": "f + 19", "q": "m + 16", "y": "q + 7", "t": "y + 8", "p": "t + 7", "g": 2}, "premises": {"g": 2}, "target": "e"}, "answer": {"steps": [["b", "g + 20", 22], ["w", "b + 4", 26], ["a", "w + 11"... | 1,282 | 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 = j + 8; g = 2; q = m + 16; t = y + 8; h = a + 14; p = t + 7; j = h + 6; y = q + 7; a = w + 11; b = g + 20; f = g + 17; w = b + 4; m = f + 19. If g = 2, what is the resulting value of e?",
"role": "user"
... | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = g + 20, which gives b = 22.\n2. Compute w using w = b + 4, which gives w = 26.\n3. Compute a using a = w + 11, which gives a = 37.\n4. Compute h using h = a + 14, which gives h = 51.\n5. Compute j using j = h + 6, whic... |
{"problem": {"rules": {"c": "w + 18", "e": "c + 8", "t": "e + 7", "n": "t + 18", "k": "n + 13", "u": "k + 15", "l": "w + 16", "y": "l + 10", "b": "y + 19", "j": "b + 13", "p": "j + 6", "g": "p + 15", "w": 7}, "premises": {"w": 7}, "target": "u"}, "answer": {"steps": [["c", "w + 18", 25], ["e", "c + 8", 33], ["t", "e + ... | 1,283 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = b + 13; y = l + 10; n = t + 18; t = e + 7; g = p + 15; p = j + 6; e = c + 8; u = k + 15; c = w + 18; l = w + 16; w = 7; k = n + 13; b = y + 19. If w = 7, what is the resulting value of u?",
"role": "use... | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = w + 18, which gives c = 25.\n2. Compute e using e = c + 8, which gives e = 33.\n3. Compute t using t = e + 7, which gives t = 40.\n4. Compute n using n = t + 18, which gives n = 58.\n5. Compute k using k = n + 13, whic... |
{"problem": {"rules": {"q": "x + 6", "b": "q + 1", "t": "b + 7", "m": "t + 14", "g": "m + 2", "k": "g + 12", "i": "x + 18", "o": "i + 1", "w": "o + 17", "n": "w + 19", "z": "n + 6", "u": "z + 17", "x": 12}, "premises": {"x": 12}, "target": "k"}, "answer": {"steps": [["q", "x + 6", 18], ["b", "q + 1", 19], ["t", "b + 7"... | 1,284 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 12; g = m + 2; i = x + 18; m = t + 14; n = w + 19; o = i + 1; z = n + 6; t = b + 7; b = q + 1; q = x + 6; w = o + 17; k = g + 12; u = z + 17. Given that x = 12, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = x + 6, which gives q = 18.\n2. Compute b using b = q + 1, which gives b = 19.\n3. Compute t using t = b + 7, which gives t = 26.\n4. Compute m using m = t + 14, which gives m = 40.\n5. Compute g using g = m + 2, which ... |
{"problem": {"rules": {"g": "z + 9", "a": "g + 6", "r": "a + 4", "j": "r + 14", "v": "j + 15", "e": "v + 20", "f": "z + 17", "d": "f + 4", "h": "d + 10", "m": "h + 20", "b": "m + 14", "c": "b + 11", "z": 13}, "premises": {"z": 13}, "target": "e"}, "answer": {"steps": [["g", "z + 9", 22], ["a", "g + 6", 28], ["r", "a + ... | 1,285 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = h + 20; g = z + 9; z = 13; d = f + 4; v = j + 15; f = z + 17; e = v + 20; r = a + 4; a = g + 6; b = m + 14; h = d + 10; j = r + 14; c = b + 11. If z = 13, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = z + 9, which gives g = 22.\n2. Compute a using a = g + 6, which gives a = 28.\n3. Compute r using r = a + 4, which gives r = 32.\n4. Compute j using j = r + 14, which gives j = 46.\n5. Compute v using v = j + 15, which... |
{"problem": {"rules": {"q": "s + 17", "b": "q + 3", "k": "b + 6", "h": "k + 1", "v": "h + 20", "z": "v + 10", "e": "s + 15", "a": "e + 10", "r": "a + 7", "x": "r + 17", "l": "x + 9", "y": "l + 13", "s": 2}, "premises": {"s": 2}, "target": "z"}, "answer": {"steps": [["q", "s + 17", 19], ["b", "q + 3", 22], ["k", "b + 6"... | 1,286 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = h + 20; s = 2; y = l + 13; q = s + 17; x = r + 17; b = q + 3; e = s + 15; a = e + 10; z = v + 10; h = k + 1; r = a + 7; k = b + 6; l = x + 9. If s = 2, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = s + 17, which gives q = 19.\n2. Compute b using b = q + 3, which gives b = 22.\n3. Compute k using k = b + 6, which gives k = 28.\n4. Compute h using h = k + 1, which gives h = 29.\n5. Compute v using v = h + 20, which... |
{"problem": {"rules": {"a": "h + 10", "j": "a + 8", "c": "j + 5", "g": "c + 20", "x": "g + 5", "e": "x + 11", "p": "h + 17", "l": "p + 1", "f": "l + 12", "k": "f + 16", "s": "k + 8", "d": "s + 18", "h": 13}, "premises": {"h": 13}, "target": "e"}, "answer": {"steps": [["a", "h + 10", 23], ["j", "a + 8", 31], ["c", "j + ... | 1,287 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = c + 20; l = p + 1; j = a + 8; s = k + 8; f = l + 12; k = f + 16; x = g + 5; a = h + 10; p = h + 17; c = j + 5; e = x + 11; h = 13; d = s + 18. If h = 13, what is the resulting value of e?",
"role": "use... | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = h + 10, which gives a = 23.\n2. Compute j using j = a + 8, which gives j = 31.\n3. Compute c using c = j + 5, which gives c = 36.\n4. Compute g using g = c + 20, which gives g = 56.\n5. Compute x using x = g + 5, which... |
{"problem": {"rules": {"v": "a + 9", "h": "v + 6", "x": "h + 7", "t": "x + 14", "l": "t + 17", "u": "l + 16", "f": "a + 2", "e": "f + 14", "i": "e + 5", "w": "i + 13", "z": "w + 19", "n": "z + 16", "a": 15}, "premises": {"a": 15}, "target": "u"}, "answer": {"steps": [["v", "a + 9", 24], ["h", "v + 6", 30], ["x", "h + 7... | 1,288 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 5; a = 15; x = h + 7; t = x + 14; f = a + 2; w = i + 13; v = a + 9; h = v + 6; u = l + 16; e = f + 14; l = t + 17; z = w + 19; n = z + 16. If a = 15, what is the resulting value of u?",
"role": "use... | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = a + 9, which gives v = 24.\n2. Compute h using h = v + 6, which gives h = 30.\n3. Compute x using x = h + 7, which gives x = 37.\n4. Compute t using t = x + 14, which gives t = 51.\n5. Compute l using l = t + 17, which... |
{"problem": {"rules": {"a": "x + 7", "n": "a + 17", "b": "n + 10", "i": "b + 18", "f": "i + 14", "q": "f + 5", "t": "x + 10", "s": "t + 5", "w": "s + 3", "v": "w + 17", "r": "v + 5", "d": "r + 9", "x": 17}, "premises": {"x": 17}, "target": "q"}, "answer": {"steps": [["a", "x + 7", 24], ["n", "a + 17", 41], ["b", "n + 1... | 1,289 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = t + 5; n = a + 17; v = w + 17; r = v + 5; q = f + 5; b = n + 10; x = 17; f = i + 14; w = s + 3; i = b + 18; t = x + 10; d = r + 9; a = x + 7. Given that x = 17, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = x + 7, which gives a = 24.\n2. Compute n using n = a + 17, which gives n = 41.\n3. Compute b using b = n + 10, which gives b = 51.\n4. Compute i using i = b + 18, which gives i = 69.\n5. Compute f using f = i + 14, whi... |
{"problem": {"rules": {"f": "o + 9", "a": "f + 11", "k": "a + 16", "h": "k + 13", "v": "h + 20", "s": "v + 12", "x": "o + 3", "n": "x + 12", "q": "n + 2", "w": "q + 14", "j": "w + 14", "g": "j + 2", "o": 3}, "premises": {"o": 3}, "target": "s"}, "answer": {"steps": [["f", "o + 9", 12], ["a", "f + 11", 23], ["k", "a + 1... | 1,290 | 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 = n + 2; n = x + 12; o = 3; s = v + 12; f = o + 9; g = j + 2; j = w + 14; v = h + 20; a = f + 11; w = q + 14; x = o + 3; k = a + 16; h = k + 13. If o = 3, what is the resulting value of s?",
"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 = o + 9, which gives f = 12.\n2. Compute a using a = f + 11, which gives a = 23.\n3. Compute k using k = a + 16, which gives k = 39.\n4. Compute h using h = k + 13, which gives h = 52.\n5. Compute v using v = h + 20, whi... |
{"problem": {"rules": {"q": "l + 10", "e": "q + 19", "b": "e + 11", "d": "b + 13", "m": "d + 16", "j": "m + 6", "y": "l + 10", "t": "y + 7", "s": "t + 19", "g": "s + 3", "h": "g + 7", "k": "h + 17", "l": 17}, "premises": {"l": 17}, "target": "j"}, "answer": {"steps": [["q", "l + 10", 27], ["e", "q + 19", 46], ["b", "e ... | 1,291 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 7; l = 17; s = t + 19; y = l + 10; j = m + 6; e = q + 19; m = d + 16; d = b + 13; q = l + 10; k = h + 17; h = g + 7; b = e + 11; g = s + 3. If l = 17, what is the resulting value of j?",
"role": "us... | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = l + 10, which gives q = 27.\n2. Compute e using e = q + 19, which gives e = 46.\n3. Compute b using b = e + 11, which gives b = 57.\n4. Compute d using d = b + 13, which gives d = 70.\n5. Compute m using m = d + 16, wh... |
{"problem": {"rules": {"k": "n + 20", "d": "k + 2", "u": "d + 15", "y": "u + 3", "c": "y + 4", "m": "c + 10", "r": "n + 20", "a": "r + 5", "q": "a + 7", "p": "q + 18", "x": "p + 11", "h": "x + 5", "n": 5}, "premises": {"n": 5}, "target": "m"}, "answer": {"steps": [["k", "n + 20", 25], ["d", "k + 2", 27], ["u", "d + 15"... | 1,292 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = k + 2; q = a + 7; u = d + 15; x = p + 11; r = n + 20; k = n + 20; c = y + 4; h = x + 5; y = u + 3; m = c + 10; n = 5; p = q + 18; a = r + 5. Given that n = 5, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = n + 20, which gives k = 25.\n2. Compute d using d = k + 2, which gives d = 27.\n3. Compute u using u = d + 15, which gives u = 42.\n4. Compute y using y = u + 3, which gives y = 45.\n5. Compute c using c = y + 4, which... |
{"problem": {"rules": {"p": "k + 19", "v": "p + 8", "l": "v + 3", "d": "l + 11", "i": "d + 2", "a": "i + 11", "c": "k + 19", "t": "c + 9", "r": "t + 2", "w": "r + 20", "u": "w + 4", "z": "u + 17", "k": 17}, "premises": {"k": 17}, "target": "a"}, "answer": {"steps": [["p", "k + 19", 36], ["v", "p + 8", 44], ["l", "v + 3... | 1,293 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 17; d = l + 11; a = i + 11; c = k + 19; v = p + 8; l = v + 3; r = t + 2; u = w + 4; p = k + 19; w = r + 20; i = d + 2; z = u + 17; t = c + 9. If k = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = k + 19, which gives p = 36.\n2. Compute v using v = p + 8, which gives v = 44.\n3. Compute l using l = v + 3, which gives l = 47.\n4. Compute d using d = l + 11, which gives d = 58.\n5. Compute i using i = d + 2, which... |
{"problem": {"rules": {"a": "i + 13", "o": "a + 17", "g": "o + 7", "u": "g + 4", "l": "u + 8", "y": "l + 13", "q": "i + 3", "n": "q + 8", "c": "n + 18", "v": "c + 2", "z": "v + 11", "r": "z + 6", "i": 15}, "premises": {"i": 15}, "target": "y"}, "answer": {"steps": [["a", "i + 13", 28], ["o", "a + 17", 45], ["g", "o + 7... | 1,294 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 8; r = z + 6; o = a + 17; u = g + 4; a = i + 13; n = q + 8; y = l + 13; z = v + 11; i = 15; v = c + 2; g = o + 7; q = i + 3; c = n + 18. If i = 15, 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 a using a = i + 13, which gives a = 28.\n2. Compute o using o = a + 17, which gives o = 45.\n3. Compute g using g = o + 7, which gives g = 52.\n4. Compute u using u = g + 4, which gives u = 56.\n5. Compute l using l = u + 8, which... |
{"problem": {"rules": {"w": "h + 7", "c": "w + 9", "k": "c + 13", "v": "k + 9", "t": "v + 9", "n": "t + 16", "y": "h + 14", "b": "y + 12", "z": "b + 13", "p": "z + 7", "j": "p + 19", "l": "j + 8", "h": 10}, "premises": {"h": 10}, "target": "n"}, "answer": {"steps": [["w", "h + 7", 17], ["c", "w + 9", 26], ["k", "c + 13... | 1,295 | 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 = k + 9; l = j + 8; b = y + 12; y = h + 14; t = v + 9; n = t + 16; p = z + 7; k = c + 13; w = h + 7; z = b + 13; h = 10; j = p + 19; c = w + 9. If h = 10, what is the resulting value of n?",
"role": "user... | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = h + 7, which gives w = 17.\n2. Compute c using c = w + 9, which gives c = 26.\n3. Compute k using k = c + 13, which gives k = 39.\n4. Compute v using v = k + 9, which gives v = 48.\n5. Compute t using t = v + 9, which ... |
{"problem": {"rules": {"j": "i + 20", "o": "j + 4", "c": "o + 12", "h": "c + 12", "k": "h + 11", "s": "k + 16", "b": "i + 15", "w": "b + 7", "v": "w + 6", "e": "v + 5", "x": "e + 4", "f": "x + 13", "i": 19}, "premises": {"i": 19}, "target": "s"}, "answer": {"steps": [["j", "i + 20", 39], ["o", "j + 4", 43], ["c", "o + ... | 1,296 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = c + 12; j = i + 20; v = w + 6; b = i + 15; f = x + 13; k = h + 11; e = v + 5; o = j + 4; c = o + 12; x = e + 4; s = k + 16; w = b + 7; i = 19. Given that i = 19, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = i + 20, which gives j = 39.\n2. Compute o using o = j + 4, which gives o = 43.\n3. Compute c using c = o + 12, which gives c = 55.\n4. Compute h using h = c + 12, which gives h = 67.\n5. Compute k using k = h + 11, whi... |
{"problem": {"rules": {"c": "m + 2", "s": "c + 8", "f": "s + 17", "e": "f + 9", "w": "e + 16", "y": "w + 18", "o": "m + 4", "p": "o + 20", "v": "p + 18", "a": "v + 15", "r": "a + 11", "k": "r + 13", "m": 1}, "premises": {"m": 1}, "target": "y"}, "answer": {"steps": [["c", "m + 2", 3], ["s", "c + 8", 11], ["f", "s + 17"... | 1,297 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = a + 11; p = o + 20; k = r + 13; f = s + 17; s = c + 8; m = 1; o = m + 4; v = p + 18; w = e + 16; c = m + 2; a = v + 15; e = f + 9; y = w + 18. If m = 1, determine 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 c using c = m + 2, which gives c = 3.\n2. Compute s using s = c + 8, which gives s = 11.\n3. Compute f using f = s + 17, which gives f = 28.\n4. Compute e using e = f + 9, which gives e = 37.\n5. Compute w using w = e + 16, which ... |
{"problem": {"rules": {"j": "w + 19", "x": "j + 1", "r": "x + 6", "k": "r + 7", "y": "k + 7", "t": "y + 8", "s": "w + 8", "h": "s + 2", "g": "h + 15", "c": "g + 16", "b": "c + 13", "a": "b + 4", "w": 2}, "premises": {"w": 2}, "target": "t"}, "answer": {"steps": [["j", "w + 19", 21], ["x", "j + 1", 22], ["r", "x + 6", 2... | 1,298 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = h + 15; x = j + 1; k = r + 7; c = g + 16; a = b + 4; t = y + 8; s = w + 8; r = x + 6; b = c + 13; h = s + 2; w = 2; j = w + 19; y = k + 7. If w = 2, what is the resulting value of t?",
"role": "user"
... | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = w + 19, which gives j = 21.\n2. Compute x using x = j + 1, which gives x = 22.\n3. Compute r using r = x + 6, which gives r = 28.\n4. Compute k using k = r + 7, which gives k = 35.\n5. Compute y using y = k + 7, which ... |
{"problem": {"rules": {"w": "e + 3", "o": "w + 7", "p": "o + 13", "m": "p + 5", "n": "m + 13", "k": "n + 2", "q": "e + 17", "g": "q + 5", "b": "g + 20", "l": "b + 1", "f": "l + 6", "t": "f + 16", "e": 1}, "premises": {"e": 1}, "target": "k"}, "answer": {"steps": [["w", "e + 3", 4], ["o", "w + 7", 11], ["p", "o + 13", 2... | 1,299 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = q + 5; p = o + 13; m = p + 5; l = b + 1; w = e + 3; b = g + 20; e = 1; n = m + 13; f = l + 6; q = e + 17; t = f + 16; k = n + 2; o = w + 7. If e = 1, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = e + 3, which gives w = 4.\n2. Compute o using o = w + 7, which gives o = 11.\n3. Compute p using p = o + 13, which gives p = 24.\n4. Compute m using m = p + 5, which gives m = 29.\n5. Compute n using n = m + 13, which ... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.