meta string | id int64 | problem_solution_idx int64 | world_id string | data_source string | prompt list | ability string | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"y": "n + 6", "h": "y + 7", "a": "h + 15", "b": "a + 12", "c": "b + 10", "v": "c + 7", "x": "n + 16", "w": "x + 10", "f": "w + 14", "m": "f + 4", "k": "m + 16", "j": "k + 10", "n": 8}, "premises": {"n": 8}, "target": "v"}, "answer": {"steps": [["c", "b + 10", "b + 17"], ["b", "a + 12", "a + 29"],... | 25,500 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 7; k = m + 16; m = f + 4; c = b + 10; x = n + 16; n = 8; j = k + 10; b = a + 12; y = n + 6; w = x + 10; f = w + 14; a = h + 15; h = y + 7. If n = 8, what is the resulting value of v?",
"role": "user... | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 10 to v, which gives v = b + 17.\n2. Substitute b = a + 12 to v, which gives v = a + 29.\n3. Substitute a = h + 15 to v, which gives v = h + 44.\n4. Substitute h = y + 7 to v, which gives v = y + 51.\n5. Substitute y = ... |
{"problem": {"rules": {"k": "e + 12", "q": "k + 11", "n": "q + 13", "p": "n + 13", "g": "p + 2", "f": "g + 10", "w": "e + 8", "r": "w + 3", "s": "r + 19", "i": "s + 2", "d": "i + 17", "c": "d + 7", "e": 15}, "premises": {"e": 15}, "target": "f"}, "answer": {"steps": [["g", "p + 2", "p + 12"], ["p", "n + 13", "n + 25"],... | 25,501 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = s + 2; q = k + 11; g = p + 2; f = g + 10; s = r + 19; d = i + 17; n = q + 13; p = n + 13; w = e + 8; k = e + 12; r = w + 3; c = d + 7; e = 15. If e = 15, what is the resulting value of f?",
"role": "use... | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 2 to f, which gives f = p + 12.\n2. Substitute p = n + 13 to f, which gives f = n + 25.\n3. Substitute n = q + 13 to f, which gives f = q + 38.\n4. Substitute q = k + 11 to f, which gives f = k + 49.\n5. Substitute k = ... |
{"problem": {"rules": {"d": "i + 7", "h": "d + 6", "z": "h + 4", "f": "z + 12", "c": "f + 14", "v": "c + 18", "s": "i + 10", "x": "s + 5", "p": "x + 12", "u": "p + 14", "k": "u + 11", "w": "k + 1", "i": 20}, "premises": {"i": 20}, "target": "v"}, "answer": {"steps": [["d", "i + 7", 27], ["h", "d + 6", 33], ["z", "h + 4... | 25,502 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = p + 14; x = s + 5; p = x + 12; w = k + 1; d = i + 7; k = u + 11; f = z + 12; h = d + 6; c = f + 14; z = h + 4; s = i + 10; i = 20; v = c + 18. Given that i = 20, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = i + 7, which gives d = 27.\n2. Compute h using h = d + 6, which gives h = 33.\n3. Compute z using z = h + 4, which gives z = 37.\n4. Compute f using f = z + 12, which gives f = 49.\n5. Compute c using c = f + 14, which... |
{"problem": {"rules": {"f": "z + 16", "x": "f + 10", "l": "x + 8", "b": "l + 10", "m": "b + 13", "d": "m + 10", "q": "z + 8", "g": "q + 6", "u": "g + 7", "y": "u + 14", "s": "y + 17", "p": "s + 1", "z": 12}, "premises": {"z": 12}, "target": "d"}, "answer": {"steps": [["f", "z + 16", 28], ["x", "f + 10", 38], ["l", "x +... | 25,503 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = z + 16; y = u + 14; z = 12; m = b + 13; s = y + 17; d = m + 10; q = z + 8; p = s + 1; g = q + 6; x = f + 10; l = x + 8; b = l + 10; u = g + 7. Given that z = 12, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = z + 16, which gives f = 28.\n2. Compute x using x = f + 10, which gives x = 38.\n3. Compute l using l = x + 8, which gives l = 46.\n4. Compute b using b = l + 10, which gives b = 56.\n5. Compute m using m = b + 13, whi... |
{"problem": {"rules": {"o": "t + 20", "g": "o + 1", "c": "g + 18", "v": "c + 20", "x": "v + 13", "f": "x + 7", "s": "t + 20", "r": "s + 8", "p": "r + 1", "e": "p + 7", "d": "e + 11", "a": "d + 9", "t": 7}, "premises": {"t": 7}, "target": "f"}, "answer": {"steps": [["x", "v + 13", "v + 20"], ["v", "c + 20", "c + 40"], [... | 25,504 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = o + 1; e = p + 7; r = s + 8; v = c + 20; x = v + 13; f = x + 7; o = t + 20; c = g + 18; p = r + 1; d = e + 11; t = 7; s = t + 20; a = d + 9. If t = 7, what is the resulting value of f?",
"role": "user"
... | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 13 to f, which gives f = v + 20.\n2. Substitute v = c + 20 to f, which gives f = c + 40.\n3. Substitute c = g + 18 to f, which gives f = g + 58.\n4. Substitute g = o + 1 to f, which gives f = o + 59.\n5. Substitute o = ... |
{"problem": {"rules": {"c": "n + 14", "t": "c + 10", "j": "t + 15", "m": "j + 6", "x": "m + 16", "k": "x + 5", "a": "n + 8", "q": "a + 16", "y": "q + 16", "o": "y + 17", "p": "o + 16", "e": "p + 4", "n": 12}, "premises": {"n": 12}, "target": "k"}, "answer": {"steps": [["x", "m + 16", "m + 21"], ["m", "j + 6", "j + 27"]... | 25,505 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = 12; p = o + 16; o = y + 17; j = t + 15; x = m + 16; a = n + 8; m = j + 6; e = p + 4; t = c + 10; k = x + 5; c = n + 14; y = q + 16; q = a + 16. If n = 12, what is the resulting value of k?",
"role": "us... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 16 to k, which gives k = m + 21.\n2. Substitute m = j + 6 to k, which gives k = j + 27.\n3. Substitute j = t + 15 to k, which gives k = t + 42.\n4. Substitute t = c + 10 to k, which gives k = c + 52.\n5. Substitute c = ... |
{"problem": {"rules": {"q": "a + 18", "m": "q + 10", "f": "m + 9", "x": "f + 19", "i": "x + 20", "k": "i + 3", "g": "a + 7", "p": "g + 18", "o": "p + 1", "u": "o + 16", "h": "u + 1", "b": "h + 20", "a": 20}, "premises": {"a": 20}, "target": "k"}, "answer": {"steps": [["i", "x + 20", "x + 23"], ["x", "f + 19", "f + 42"]... | 25,506 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 20; u = o + 16; a = 20; q = a + 18; f = m + 9; x = f + 19; h = u + 1; m = q + 10; g = a + 7; b = h + 20; o = p + 1; k = i + 3; p = g + 18. If a = 20, what is the resulting value of k?",
"role": "use... | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 20 to k, which gives k = x + 23.\n2. Substitute x = f + 19 to k, which gives k = f + 42.\n3. Substitute f = m + 9 to k, which gives k = m + 51.\n4. Substitute m = q + 10 to k, which gives k = q + 61.\n5. Substitute q = ... |
{"problem": {"rules": {"r": "f + 10", "y": "r + 4", "c": "y + 8", "x": "c + 14", "e": "x + 2", "m": "e + 6", "l": "f + 8", "w": "l + 6", "p": "w + 9", "i": "p + 13", "q": "i + 18", "h": "q + 11", "f": 2}, "premises": {"f": 2}, "target": "m"}, "answer": {"steps": [["r", "f + 10", 12], ["y", "r + 4", 16], ["c", "y + 8", ... | 25,507 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = f + 10; x = c + 14; q = i + 18; m = e + 6; e = x + 2; h = q + 11; i = p + 13; w = l + 6; p = w + 9; y = r + 4; l = f + 8; f = 2; c = y + 8. If f = 2, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = f + 10, which gives r = 12.\n2. Compute y using y = r + 4, which gives y = 16.\n3. Compute c using c = y + 8, which gives c = 24.\n4. Compute x using x = c + 14, which gives x = 38.\n5. Compute e using e = x + 2, which... |
{"problem": {"rules": {"k": "s + 16", "c": "k + 7", "q": "c + 14", "f": "q + 20", "o": "f + 4", "i": "o + 18", "r": "s + 3", "w": "r + 12", "z": "w + 2", "x": "z + 16", "l": "x + 4", "b": "l + 11", "s": 13}, "premises": {"s": 13}, "target": "i"}, "answer": {"steps": [["k", "s + 16", 29], ["c", "k + 7", 36], ["q", "c + ... | 25,508 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = s + 16; z = w + 2; w = r + 12; b = l + 11; c = k + 7; i = o + 18; r = s + 3; s = 13; q = c + 14; o = f + 4; x = z + 16; f = q + 20; l = x + 4. Given that s = 13, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = s + 16, which gives k = 29.\n2. Compute c using c = k + 7, which gives c = 36.\n3. Compute q using q = c + 14, which gives q = 50.\n4. Compute f using f = q + 20, which gives f = 70.\n5. Compute o using o = f + 4, whic... |
{"problem": {"rules": {"k": "m + 15", "t": "k + 19", "p": "t + 19", "q": "p + 18", "y": "q + 8", "x": "y + 5", "b": "m + 15", "i": "b + 6", "g": "i + 20", "n": "g + 15", "r": "n + 4", "f": "r + 14", "m": 19}, "premises": {"m": 19}, "target": "x"}, "answer": {"steps": [["y", "q + 8", "q + 13"], ["q", "p + 18", "p + 31"]... | 25,509 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = q + 8; p = t + 19; f = r + 14; b = m + 15; x = y + 5; m = 19; i = b + 6; n = g + 15; t = k + 19; k = m + 15; g = i + 20; r = n + 4; q = p + 18. If m = 19, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 8 to x, which gives x = q + 13.\n2. Substitute q = p + 18 to x, which gives x = p + 31.\n3. Substitute p = t + 19 to x, which gives x = t + 50.\n4. Substitute t = k + 19 to x, which gives x = k + 69.\n5. Substitute k = ... |
{"problem": {"rules": {"j": "s + 2", "b": "j + 6", "q": "b + 11", "m": "q + 9", "x": "m + 12", "u": "x + 5", "k": "s + 9", "f": "k + 17", "r": "f + 20", "h": "r + 17", "o": "h + 9", "z": "o + 19", "s": 2}, "premises": {"s": 2}, "target": "u"}, "answer": {"steps": [["x", "m + 12", "m + 17"], ["m", "q + 9", "q + 26"], ["... | 25,510 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = q + 9; h = r + 17; x = m + 12; j = s + 2; f = k + 17; z = o + 19; s = 2; r = f + 20; u = x + 5; o = h + 9; k = s + 9; b = j + 6; q = b + 11. Given that s = 2, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 12 to u, which gives u = m + 17.\n2. Substitute m = q + 9 to u, which gives u = q + 26.\n3. Substitute q = b + 11 to u, which gives u = b + 37.\n4. Substitute b = j + 6 to u, which gives u = j + 43.\n5. Substitute j = s... |
{"problem": {"rules": {"x": "o + 3", "n": "x + 6", "u": "n + 7", "t": "u + 17", "r": "t + 19", "k": "r + 5", "m": "o + 12", "a": "m + 19", "b": "a + 15", "z": "b + 20", "g": "z + 9", "j": "g + 14", "o": 3}, "premises": {"o": 3}, "target": "k"}, "answer": {"steps": [["x", "o + 3", 6], ["n", "x + 6", 12], ["u", "n + 7", ... | 25,511 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 20; b = a + 15; j = g + 14; o = 3; n = x + 6; g = z + 9; u = n + 7; r = t + 19; m = o + 12; t = u + 17; x = o + 3; a = m + 19; k = r + 5. Given that o = 3, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"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 = 6.\n2. Compute n using n = x + 6, which gives n = 12.\n3. Compute u using u = n + 7, which gives u = 19.\n4. Compute t using t = u + 17, which gives t = 36.\n5. Compute r using r = t + 19, which ... |
{"problem": {"rules": {"w": "k + 11", "i": "w + 12", "y": "i + 4", "a": "y + 2", "r": "a + 7", "s": "r + 16", "c": "k + 5", "g": "c + 6", "v": "g + 15", "m": "v + 8", "t": "m + 6", "p": "t + 8", "k": 3}, "premises": {"k": 3}, "target": "s"}, "answer": {"steps": [["w", "k + 11", 14], ["i", "w + 12", 26], ["y", "i + 4", ... | 25,512 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = r + 16; m = v + 8; c = k + 5; k = 3; p = t + 8; a = y + 2; y = i + 4; t = m + 6; i = w + 12; g = c + 6; w = k + 11; r = a + 7; v = g + 15. If k = 3, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = k + 11, which gives w = 14.\n2. Compute i using i = w + 12, which gives i = 26.\n3. Compute y using y = i + 4, which gives y = 30.\n4. Compute a using a = y + 2, which gives a = 32.\n5. Compute r using r = a + 7, which... |
{"problem": {"rules": {"j": "x + 19", "q": "j + 14", "i": "q + 6", "z": "i + 14", "v": "z + 1", "a": "v + 6", "u": "x + 12", "y": "u + 13", "e": "y + 5", "r": "e + 1", "t": "r + 13", "w": "t + 13", "x": 18}, "premises": {"x": 18}, "target": "a"}, "answer": {"steps": [["v", "z + 1", "z + 7"], ["z", "i + 14", "i + 21"], ... | 25,513 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = v + 6; x = 18; u = x + 12; t = r + 13; v = z + 1; i = q + 6; e = y + 5; j = x + 19; y = u + 13; w = t + 13; r = e + 1; q = j + 14; z = i + 14. Given that x = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 1 to a, which gives a = z + 7.\n2. Substitute z = i + 14 to a, which gives a = i + 21.\n3. Substitute i = q + 6 to a, which gives a = q + 27.\n4. Substitute q = j + 14 to a, which gives a = j + 41.\n5. Substitute j = x ... |
{"problem": {"rules": {"l": "k + 19", "m": "l + 17", "c": "m + 18", "t": "c + 12", "v": "t + 20", "y": "v + 15", "w": "k + 1", "e": "w + 11", "u": "e + 14", "n": "u + 1", "i": "n + 7", "s": "i + 12", "k": 17}, "premises": {"k": 17}, "target": "y"}, "answer": {"steps": [["v", "t + 20", "t + 35"], ["t", "c + 12", "c + 47... | 25,514 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = t + 20; w = k + 1; e = w + 11; l = k + 19; c = m + 18; y = v + 15; i = n + 7; t = c + 12; k = 17; n = u + 1; u = e + 14; s = i + 12; m = l + 17. Given that k = 17, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 118,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 20 to y, which gives y = t + 35.\n2. Substitute t = c + 12 to y, which gives y = c + 47.\n3. Substitute c = m + 18 to y, which gives y = m + 65.\n4. Substitute m = l + 17 to y, which gives y = l + 82.\n5. Substitute l =... |
{"problem": {"rules": {"c": "n + 14", "f": "c + 19", "b": "f + 4", "i": "b + 16", "p": "i + 10", "u": "p + 1", "s": "n + 12", "k": "s + 6", "w": "k + 11", "h": "w + 15", "y": "h + 18", "j": "y + 12", "n": 13}, "premises": {"n": 13}, "target": "u"}, "answer": {"steps": [["c", "n + 14", 27], ["f", "c + 19", 46], ["b", "f... | 25,515 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 4; y = h + 18; i = b + 16; k = s + 6; s = n + 12; h = w + 15; j = y + 12; u = p + 1; w = k + 11; f = c + 19; p = i + 10; n = 13; c = n + 14. Given that n = 13, 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 c using c = n + 14, which gives c = 27.\n2. Compute f using f = c + 19, which gives f = 46.\n3. Compute b using b = f + 4, which gives b = 50.\n4. Compute i using i = b + 16, which gives i = 66.\n5. Compute p using p = i + 10, whi... |
{"problem": {"rules": {"s": "k + 6", "u": "s + 18", "j": "u + 1", "x": "j + 10", "y": "x + 3", "t": "y + 8", "b": "k + 9", "r": "b + 4", "f": "r + 14", "h": "f + 4", "d": "h + 2", "n": "d + 2", "k": 15}, "premises": {"k": 15}, "target": "t"}, "answer": {"steps": [["y", "x + 3", "x + 11"], ["x", "j + 10", "j + 21"], ["j... | 25,516 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = h + 2; j = u + 1; r = b + 4; b = k + 9; u = s + 18; x = j + 10; s = k + 6; f = r + 14; n = d + 2; t = y + 8; k = 15; h = f + 4; y = x + 3. Given that k = 15, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 3 to t, which gives t = x + 11.\n2. Substitute x = j + 10 to t, which gives t = j + 21.\n3. Substitute j = u + 1 to t, which gives t = u + 22.\n4. Substitute u = s + 18 to t, which gives t = s + 40.\n5. Substitute s = k... |
{"problem": {"rules": {"t": "x + 4", "s": "t + 14", "d": "s + 13", "b": "d + 9", "m": "b + 9", "k": "m + 9", "c": "x + 4", "u": "c + 11", "y": "u + 6", "n": "y + 4", "a": "n + 9", "g": "a + 19", "x": 5}, "premises": {"x": 5}, "target": "k"}, "answer": {"steps": [["t", "x + 4", 9], ["s", "t + 14", 23], ["d", "s + 13", 3... | 25,517 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 5; c = x + 4; n = y + 4; t = x + 4; m = b + 9; b = d + 9; s = t + 14; d = s + 13; y = u + 6; u = c + 11; k = m + 9; a = n + 9; g = a + 19. Given that x = 5, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = x + 4, which gives t = 9.\n2. Compute s using s = t + 14, which gives s = 23.\n3. Compute d using d = s + 13, which gives d = 36.\n4. Compute b using b = d + 9, which gives b = 45.\n5. Compute m using m = b + 9, which ... |
{"problem": {"rules": {"r": "j + 7", "w": "r + 16", "l": "w + 18", "y": "l + 11", "x": "y + 15", "m": "x + 17", "g": "j + 17", "f": "g + 4", "s": "f + 10", "i": "s + 13", "k": "i + 10", "n": "k + 9", "j": 16}, "premises": {"j": 16}, "target": "m"}, "answer": {"steps": [["r", "j + 7", 23], ["w", "r + 16", 39], ["l", "w ... | 25,518 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = j + 7; n = k + 9; j = 16; s = f + 10; x = y + 15; y = l + 11; l = w + 18; f = g + 4; k = i + 10; w = r + 16; g = j + 17; m = x + 17; i = s + 13. If j = 16, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = j + 7, which gives r = 23.\n2. Compute w using w = r + 16, which gives w = 39.\n3. Compute l using l = w + 18, which gives l = 57.\n4. Compute y using y = l + 11, which gives y = 68.\n5. Compute x using x = y + 15, whi... |
{"problem": {"rules": {"u": "v + 13", "p": "u + 10", "g": "p + 3", "r": "g + 19", "f": "r + 20", "w": "f + 13", "o": "v + 15", "b": "o + 15", "d": "b + 10", "k": "d + 6", "a": "k + 20", "n": "a + 14", "v": 6}, "premises": {"v": 6}, "target": "w"}, "answer": {"steps": [["u", "v + 13", 19], ["p", "u + 10", 29], ["g", "p ... | 25,519 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = v + 13; v = 6; d = b + 10; g = p + 3; o = v + 15; a = k + 20; f = r + 20; n = a + 14; p = u + 10; k = d + 6; w = f + 13; b = o + 15; r = g + 19. If v = 6, what is the resulting value of w?",
"role": "us... | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = v + 13, which gives u = 19.\n2. Compute p using p = u + 10, which gives p = 29.\n3. Compute g using g = p + 3, which gives g = 32.\n4. Compute r using r = g + 19, which gives r = 51.\n5. Compute f using f = r + 20, whi... |
{"problem": {"rules": {"i": "b + 5", "k": "i + 11", "l": "k + 2", "t": "l + 16", "e": "t + 8", "o": "e + 18", "f": "b + 16", "y": "f + 9", "w": "y + 17", "q": "w + 5", "c": "q + 4", "z": "c + 18", "b": 14}, "premises": {"b": 14}, "target": "o"}, "answer": {"steps": [["e", "t + 8", "t + 26"], ["t", "l + 16", "l + 42"], ... | 25,520 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = y + 17; b = 14; z = c + 18; t = l + 16; i = b + 5; q = w + 5; y = f + 9; f = b + 16; l = k + 2; k = i + 11; e = t + 8; c = q + 4; o = e + 18. Given that b = 14, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = t + 8 to o, which gives o = t + 26.\n2. Substitute t = l + 16 to o, which gives o = l + 42.\n3. Substitute l = k + 2 to o, which gives o = k + 44.\n4. Substitute k = i + 11 to o, which gives o = i + 55.\n5. Substitute i = b... |
{"problem": {"rules": {"q": "b + 1", "a": "q + 7", "p": "a + 19", "y": "p + 10", "g": "y + 11", "s": "g + 17", "j": "b + 4", "z": "j + 13", "l": "z + 5", "v": "l + 1", "o": "v + 2", "m": "o + 6", "b": 5}, "premises": {"b": 5}, "target": "s"}, "answer": {"steps": [["q", "b + 1", 6], ["a", "q + 7", 13], ["p", "a + 19", 3... | 25,521 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = v + 2; p = a + 19; y = p + 10; m = o + 6; j = b + 4; v = l + 1; z = j + 13; b = 5; q = b + 1; l = z + 5; g = y + 11; s = g + 17; a = q + 7. Given that b = 5, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = b + 1, which gives q = 6.\n2. Compute a using a = q + 7, which gives a = 13.\n3. Compute p using p = a + 19, which gives p = 32.\n4. Compute y using y = p + 10, which gives y = 42.\n5. Compute g using g = y + 11, which... |
{"problem": {"rules": {"c": "p + 6", "h": "c + 6", "d": "h + 13", "m": "d + 5", "q": "m + 3", "b": "q + 12", "w": "p + 8", "x": "w + 1", "u": "x + 13", "o": "u + 9", "a": "o + 17", "v": "a + 13", "p": 12}, "premises": {"p": 12}, "target": "b"}, "answer": {"steps": [["c", "p + 6", 18], ["h", "c + 6", 24], ["d", "h + 13"... | 25,522 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = q + 12; x = w + 1; o = u + 9; m = d + 5; a = o + 17; c = p + 6; w = p + 8; h = c + 6; d = h + 13; p = 12; u = x + 13; q = m + 3; v = a + 13. If p = 12, what is the resulting value of b?",
"role": "user"... | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = p + 6, which gives c = 18.\n2. Compute h using h = c + 6, which gives h = 24.\n3. Compute d using d = h + 13, which gives d = 37.\n4. Compute m using m = d + 5, which gives m = 42.\n5. Compute q using q = m + 3, which ... |
{"problem": {"rules": {"y": "o + 13", "a": "y + 2", "r": "a + 2", "u": "r + 18", "d": "u + 18", "p": "d + 5", "t": "o + 10", "e": "t + 4", "i": "e + 16", "n": "i + 3", "b": "n + 16", "s": "b + 12", "o": 16}, "premises": {"o": 16}, "target": "p"}, "answer": {"steps": [["d", "u + 18", "u + 23"], ["u", "r + 18", "r + 41"]... | 25,523 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = a + 2; n = i + 3; i = e + 16; a = y + 2; u = r + 18; b = n + 16; t = o + 10; o = 16; e = t + 4; p = d + 5; y = o + 13; s = b + 12; d = u + 18. If o = 16, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 18 to p, which gives p = u + 23.\n2. Substitute u = r + 18 to p, which gives p = r + 41.\n3. Substitute r = a + 2 to p, which gives p = a + 43.\n4. Substitute a = y + 2 to p, which gives p = y + 45.\n5. Substitute y = o... |
{"problem": {"rules": {"r": "l + 5", "z": "r + 13", "a": "z + 16", "e": "a + 13", "d": "e + 7", "q": "d + 2", "t": "l + 16", "x": "t + 2", "u": "x + 19", "c": "u + 3", "i": "c + 8", "p": "i + 7", "l": 12}, "premises": {"l": 12}, "target": "q"}, "answer": {"steps": [["r", "l + 5", 17], ["z", "r + 13", 30], ["a", "z + 16... | 25,524 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = t + 2; p = i + 7; a = z + 16; q = d + 2; r = l + 5; e = a + 13; c = u + 3; u = x + 19; t = l + 16; d = e + 7; z = r + 13; l = 12; i = c + 8. If l = 12, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = l + 5, which gives r = 17.\n2. Compute z using z = r + 13, which gives z = 30.\n3. Compute a using a = z + 16, which gives a = 46.\n4. Compute e using e = a + 13, which gives e = 59.\n5. Compute d using d = e + 7, whic... |
{"problem": {"rules": {"n": "d + 1", "t": "n + 7", "q": "t + 19", "j": "q + 1", "r": "j + 11", "h": "r + 20", "e": "d + 18", "l": "e + 9", "s": "l + 2", "k": "s + 1", "a": "k + 17", "i": "a + 4", "d": 10}, "premises": {"d": 10}, "target": "h"}, "answer": {"steps": [["r", "j + 11", "j + 31"], ["j", "q + 1", "q + 32"], [... | 25,525 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = a + 4; t = n + 7; l = e + 9; h = r + 20; a = k + 17; s = l + 2; n = d + 1; r = j + 11; e = d + 18; q = t + 19; k = s + 1; d = 10; j = q + 1. If d = 10, what is the resulting value of h?",
"role": "user"... | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 11 to h, which gives h = j + 31.\n2. Substitute j = q + 1 to h, which gives h = q + 32.\n3. Substitute q = t + 19 to h, which gives h = t + 51.\n4. Substitute t = n + 7 to h, which gives h = n + 58.\n5. Substitute n = d... |
{"problem": {"rules": {"h": "i + 5", "z": "h + 15", "j": "z + 1", "p": "j + 9", "g": "p + 6", "y": "g + 15", "e": "i + 10", "m": "e + 14", "k": "m + 20", "d": "k + 15", "o": "d + 14", "u": "o + 4", "i": 16}, "premises": {"i": 16}, "target": "y"}, "answer": {"steps": [["h", "i + 5", 21], ["z", "h + 15", 36], ["j", "z + ... | 25,526 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 9; g = p + 6; d = k + 15; o = d + 14; j = z + 1; z = h + 15; k = m + 20; e = i + 10; h = i + 5; i = 16; m = e + 14; y = g + 15; u = o + 4. If i = 16, what is the resulting value of y?",
"role": "use... | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = i + 5, which gives h = 21.\n2. Compute z using z = h + 15, which gives z = 36.\n3. Compute j using j = z + 1, which gives j = 37.\n4. Compute p using p = j + 9, which gives p = 46.\n5. Compute g using g = p + 6, which ... |
{"problem": {"rules": {"y": "n + 6", "d": "y + 18", "o": "d + 15", "h": "o + 12", "m": "h + 14", "k": "m + 12", "e": "n + 13", "i": "e + 20", "f": "i + 17", "c": "f + 19", "g": "c + 9", "l": "g + 17", "n": 19}, "premises": {"n": 19}, "target": "k"}, "answer": {"steps": [["y", "n + 6", 25], ["d", "y + 18", 43], ["o", "d... | 25,527 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = n + 13; k = m + 12; m = h + 14; f = i + 17; g = c + 9; y = n + 6; c = f + 19; i = e + 20; h = o + 12; n = 19; o = d + 15; l = g + 17; d = y + 18. If n = 19, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = n + 6, which gives y = 25.\n2. Compute d using d = y + 18, which gives d = 43.\n3. Compute o using o = d + 15, which gives o = 58.\n4. Compute h using h = o + 12, which gives h = 70.\n5. Compute m using m = h + 14, whi... |
{"problem": {"rules": {"q": "h + 12", "e": "q + 1", "u": "e + 1", "j": "u + 4", "m": "j + 15", "y": "m + 7", "l": "h + 3", "a": "l + 3", "o": "a + 15", "t": "o + 4", "p": "t + 1", "n": "p + 19", "h": 1}, "premises": {"h": 1}, "target": "y"}, "answer": {"steps": [["q", "h + 12", 13], ["e", "q + 1", 14], ["u", "e + 1", 1... | 25,528 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 3; h = 1; o = a + 15; p = t + 1; e = q + 1; m = j + 15; j = u + 4; t = o + 4; q = h + 12; y = m + 7; n = p + 19; a = l + 3; u = e + 1. If h = 1, what is the resulting value of y?",
"role": "user"
... | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = h + 12, which gives q = 13.\n2. Compute e using e = q + 1, which gives e = 14.\n3. Compute u using u = e + 1, which gives u = 15.\n4. Compute j using j = u + 4, which gives j = 19.\n5. Compute m using m = j + 15, which... |
{"problem": {"rules": {"k": "l + 15", "m": "k + 14", "i": "m + 14", "c": "i + 8", "h": "c + 4", "s": "h + 20", "q": "l + 3", "f": "q + 5", "e": "f + 2", "x": "e + 9", "g": "x + 20", "b": "g + 20", "l": 11}, "premises": {"l": 11}, "target": "s"}, "answer": {"steps": [["k", "l + 15", 26], ["m", "k + 14", 40], ["i", "m + ... | 25,529 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = i + 8; k = l + 15; x = e + 9; f = q + 5; h = c + 4; s = h + 20; i = m + 14; q = l + 3; l = 11; b = g + 20; g = x + 20; e = f + 2; m = k + 14. If l = 11, what is the resulting value of s?",
"role": "user... | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = l + 15, which gives k = 26.\n2. Compute m using m = k + 14, which gives m = 40.\n3. Compute i using i = m + 14, which gives i = 54.\n4. Compute c using c = i + 8, which gives c = 62.\n5. Compute h using h = c + 4, whic... |
{"problem": {"rules": {"e": "r + 2", "c": "e + 7", "y": "c + 9", "o": "y + 13", "i": "o + 5", "v": "i + 5", "d": "r + 15", "j": "d + 8", "f": "j + 1", "h": "f + 17", "k": "h + 13", "p": "k + 8", "r": 15}, "premises": {"r": 15}, "target": "v"}, "answer": {"steps": [["i", "o + 5", "o + 10"], ["o", "y + 13", "y + 23"], ["... | 25,530 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = r + 15; h = f + 17; k = h + 13; e = r + 2; i = o + 5; j = d + 8; o = y + 13; p = k + 8; c = e + 7; v = i + 5; y = c + 9; f = j + 1; r = 15. If r = 15, what is the resulting value of v?",
"role": "user"
... | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 5 to v, which gives v = o + 10.\n2. Substitute o = y + 13 to v, which gives v = y + 23.\n3. Substitute y = c + 9 to v, which gives v = c + 32.\n4. Substitute c = e + 7 to v, which gives v = e + 39.\n5. Substitute e = r ... |
{"problem": {"rules": {"q": "y + 18", "k": "q + 15", "o": "k + 12", "p": "o + 7", "d": "p + 9", "i": "d + 20", "v": "y + 15", "u": "v + 17", "a": "u + 5", "t": "a + 2", "w": "t + 5", "c": "w + 7", "y": 13}, "premises": {"y": 13}, "target": "i"}, "answer": {"steps": [["q", "y + 18", 31], ["k", "q + 15", 46], ["o", "k + ... | 25,531 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = w + 7; k = q + 15; d = p + 9; p = o + 7; v = y + 15; i = d + 20; o = k + 12; a = u + 5; u = v + 17; y = 13; w = t + 5; q = y + 18; t = a + 2. If y = 13, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = y + 18, which gives q = 31.\n2. Compute k using k = q + 15, which gives k = 46.\n3. Compute o using o = k + 12, which gives o = 58.\n4. Compute p using p = o + 7, which gives p = 65.\n5. Compute d using d = p + 9, whic... |
{"problem": {"rules": {"s": "o + 6", "y": "s + 5", "v": "y + 16", "c": "v + 11", "p": "c + 3", "z": "p + 14", "a": "o + 13", "u": "a + 2", "i": "u + 2", "l": "i + 15", "m": "l + 4", "b": "m + 19", "o": 8}, "premises": {"o": 8}, "target": "z"}, "answer": {"steps": [["p", "c + 3", "c + 17"], ["c", "v + 11", "v + 28"], ["... | 25,532 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = i + 15; p = c + 3; u = a + 2; o = 8; c = v + 11; z = p + 14; s = o + 6; b = m + 19; v = y + 16; a = o + 13; m = l + 4; i = u + 2; y = s + 5. If o = 8, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 3 to z, which gives z = c + 17.\n2. Substitute c = v + 11 to z, which gives z = v + 28.\n3. Substitute v = y + 16 to z, which gives z = y + 44.\n4. Substitute y = s + 5 to z, which gives z = s + 49.\n5. Substitute s = o... |
{"problem": {"rules": {"w": "t + 6", "i": "w + 2", "k": "i + 1", "b": "k + 5", "o": "b + 4", "v": "o + 17", "s": "t + 11", "z": "s + 9", "a": "z + 7", "c": "a + 9", "x": "c + 14", "j": "x + 2", "t": 2}, "premises": {"t": 2}, "target": "v"}, "answer": {"steps": [["w", "t + 6", 8], ["i", "w + 2", 10], ["k", "i + 1", 11],... | 25,533 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = i + 1; v = o + 17; x = c + 14; w = t + 6; a = z + 7; c = a + 9; o = b + 4; s = t + 11; z = s + 9; t = 2; j = x + 2; i = w + 2; b = k + 5. If t = 2, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 37,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = t + 6, which gives w = 8.\n2. Compute i using i = w + 2, which gives i = 10.\n3. Compute k using k = i + 1, which gives k = 11.\n4. Compute b using b = k + 5, which gives b = 16.\n5. Compute o using o = b + 4, which gi... |
{"problem": {"rules": {"j": "a + 10", "f": "j + 14", "y": "f + 2", "l": "y + 4", "c": "l + 10", "x": "c + 6", "t": "a + 6", "q": "t + 2", "e": "q + 18", "g": "e + 2", "h": "g + 12", "s": "h + 8", "a": 17}, "premises": {"a": 17}, "target": "x"}, "answer": {"steps": [["j", "a + 10", 27], ["f", "j + 14", 41], ["y", "f + 2... | 25,534 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = j + 14; x = c + 6; s = h + 8; c = l + 10; a = 17; j = a + 10; e = q + 18; l = y + 4; g = e + 2; y = f + 2; q = t + 2; t = a + 6; h = g + 12. If a = 17, what is the resulting value of x?",
"role": "user"... | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = a + 10, which gives j = 27.\n2. Compute f using f = j + 14, which gives f = 41.\n3. Compute y using y = f + 2, which gives y = 43.\n4. Compute l using l = y + 4, which gives l = 47.\n5. Compute c using c = l + 10, whic... |
{"problem": {"rules": {"x": "a + 14", "d": "x + 20", "s": "d + 14", "f": "s + 6", "w": "f + 13", "i": "w + 11", "z": "a + 14", "g": "z + 11", "u": "g + 10", "y": "u + 4", "m": "y + 8", "j": "m + 16", "a": 17}, "premises": {"a": 17}, "target": "i"}, "answer": {"steps": [["x", "a + 14", 31], ["d", "x + 20", 51], ["s", "d... | 25,535 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = 17; f = s + 6; s = d + 14; x = a + 14; d = x + 20; m = y + 8; g = z + 11; w = f + 13; y = u + 4; i = w + 11; z = a + 14; u = g + 10; j = m + 16. If a = 17, what is the resulting value of i?",
"role": "u... | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = a + 14, which gives x = 31.\n2. Compute d using d = x + 20, which gives d = 51.\n3. Compute s using s = d + 14, which gives s = 65.\n4. Compute f using f = s + 6, which gives f = 71.\n5. Compute w using w = f + 13, whi... |
{"problem": {"rules": {"p": "y + 16", "r": "p + 11", "f": "r + 12", "u": "f + 3", "w": "u + 6", "b": "w + 17", "j": "y + 12", "h": "j + 4", "d": "h + 7", "i": "d + 5", "s": "i + 18", "a": "s + 8", "y": 17}, "premises": {"y": 17}, "target": "b"}, "answer": {"steps": [["p", "y + 16", 33], ["r", "p + 11", 44], ["f", "r + ... | 25,536 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = y + 12; r = p + 11; s = i + 18; p = y + 16; u = f + 3; b = w + 17; d = h + 7; i = d + 5; y = 17; f = r + 12; h = j + 4; a = s + 8; w = u + 6. If y = 17, what is the resulting value of b?",
"role": "user... | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = y + 16, which gives p = 33.\n2. Compute r using r = p + 11, which gives r = 44.\n3. Compute f using f = r + 12, which gives f = 56.\n4. Compute u using u = f + 3, which gives u = 59.\n5. Compute w using w = u + 6, whic... |
{"problem": {"rules": {"c": "k + 15", "o": "c + 1", "s": "o + 18", "d": "s + 18", "m": "d + 9", "x": "m + 5", "z": "k + 14", "n": "z + 3", "i": "n + 20", "h": "i + 16", "f": "h + 8", "r": "f + 17", "k": 12}, "premises": {"k": 12}, "target": "x"}, "answer": {"steps": [["m", "d + 9", "d + 14"], ["d", "s + 18", "s + 32"],... | 25,537 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 15; d = s + 18; i = n + 20; z = k + 14; f = h + 8; n = z + 3; s = o + 18; o = c + 1; r = f + 17; x = m + 5; m = d + 9; h = i + 16; k = 12. If k = 12, what is the resulting value of x?",
"role": "use... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 9 to x, which gives x = d + 14.\n2. Substitute d = s + 18 to x, which gives x = s + 32.\n3. Substitute s = o + 18 to x, which gives x = o + 50.\n4. Substitute o = c + 1 to x, which gives x = c + 51.\n5. Substitute c = k... |
{"problem": {"rules": {"r": "f + 5", "o": "r + 17", "i": "o + 16", "s": "i + 2", "q": "s + 15", "n": "q + 10", "b": "f + 5", "m": "b + 18", "a": "m + 6", "l": "a + 6", "z": "l + 8", "x": "z + 14", "f": 15}, "premises": {"f": 15}, "target": "n"}, "answer": {"steps": [["q", "s + 15", "s + 25"], ["s", "i + 2", "i + 27"], ... | 25,538 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = f + 5; f = 15; l = a + 6; q = s + 15; m = b + 18; a = m + 6; b = f + 5; n = q + 10; s = i + 2; x = z + 14; o = r + 17; z = l + 8; i = o + 16. Given that f = 15, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 15 to n, which gives n = s + 25.\n2. Substitute s = i + 2 to n, which gives n = i + 27.\n3. Substitute i = o + 16 to n, which gives n = o + 43.\n4. Substitute o = r + 17 to n, which gives n = r + 60.\n5. Substitute r = ... |
{"problem": {"rules": {"r": "y + 19", "j": "r + 12", "i": "j + 4", "s": "i + 15", "w": "s + 15", "a": "w + 10", "k": "y + 12", "x": "k + 2", "n": "x + 3", "f": "n + 16", "l": "f + 15", "t": "l + 9", "y": 16}, "premises": {"y": 16}, "target": "a"}, "answer": {"steps": [["w", "s + 15", "s + 25"], ["s", "i + 15", "i + 40"... | 25,539 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = i + 15; i = j + 4; j = r + 12; x = k + 2; w = s + 15; a = w + 10; t = l + 9; k = y + 12; n = x + 3; r = y + 19; y = 16; f = n + 16; l = f + 15. If y = 16, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 15 to a, which gives a = s + 25.\n2. Substitute s = i + 15 to a, which gives a = i + 40.\n3. Substitute i = j + 4 to a, which gives a = j + 44.\n4. Substitute j = r + 12 to a, which gives a = r + 56.\n5. Substitute r = ... |
{"problem": {"rules": {"t": "b + 20", "p": "t + 20", "f": "p + 5", "e": "f + 15", "g": "e + 8", "q": "g + 15", "m": "b + 14", "o": "m + 18", "h": "o + 6", "s": "h + 20", "l": "s + 1", "y": "l + 16", "b": 15}, "premises": {"b": 15}, "target": "q"}, "answer": {"steps": [["g", "e + 8", "e + 23"], ["e", "f + 15", "f + 38"]... | 25,540 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = e + 8; m = b + 14; e = f + 15; y = l + 16; s = h + 20; p = t + 20; b = 15; o = m + 18; f = p + 5; l = s + 1; h = o + 6; q = g + 15; t = b + 20. Given that b = 15, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 8 to q, which gives q = e + 23.\n2. Substitute e = f + 15 to q, which gives q = f + 38.\n3. Substitute f = p + 5 to q, which gives q = p + 43.\n4. Substitute p = t + 20 to q, which gives q = t + 63.\n5. Substitute t = b... |
{"problem": {"rules": {"q": "y + 8", "s": "q + 6", "n": "s + 18", "b": "n + 1", "l": "b + 8", "c": "l + 17", "w": "y + 13", "a": "w + 4", "v": "a + 19", "z": "v + 18", "x": "z + 1", "j": "x + 4", "y": 5}, "premises": {"y": 5}, "target": "c"}, "answer": {"steps": [["l", "b + 8", "b + 25"], ["b", "n + 1", "n + 26"], ["n"... | 25,541 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = s + 18; j = x + 4; w = y + 13; c = l + 17; b = n + 1; q = y + 8; z = v + 18; s = q + 6; a = w + 4; v = a + 19; x = z + 1; l = b + 8; y = 5. Given that y = 5, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 8 to c, which gives c = b + 25.\n2. Substitute b = n + 1 to c, which gives c = n + 26.\n3. Substitute n = s + 18 to c, which gives c = s + 44.\n4. Substitute s = q + 6 to c, which gives c = q + 50.\n5. Substitute q = y ... |
{"problem": {"rules": {"a": "x + 9", "j": "a + 14", "n": "j + 2", "z": "n + 9", "r": "z + 8", "s": "r + 7", "t": "x + 13", "g": "t + 13", "v": "g + 18", "e": "v + 17", "w": "e + 4", "f": "w + 16", "x": 6}, "premises": {"x": 6}, "target": "s"}, "answer": {"steps": [["a", "x + 9", 15], ["j", "a + 14", 29], ["n", "j + 2",... | 25,542 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = n + 9; t = x + 13; n = j + 2; g = t + 13; s = r + 7; e = v + 17; j = a + 14; w = e + 4; a = x + 9; f = w + 16; x = 6; r = z + 8; v = g + 18. If x = 6, what is the resulting value of s?",
"role": "user"
... | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = x + 9, which gives a = 15.\n2. Compute j using j = a + 14, which gives j = 29.\n3. Compute n using n = j + 2, which gives n = 31.\n4. Compute z using z = n + 9, which gives z = 40.\n5. Compute r using r = z + 8, which ... |
{"problem": {"rules": {"p": "x + 12", "i": "p + 9", "s": "i + 13", "o": "s + 17", "c": "o + 13", "r": "c + 6", "a": "x + 6", "g": "a + 7", "h": "g + 16", "z": "h + 9", "m": "z + 16", "l": "m + 8", "x": 20}, "premises": {"x": 20}, "target": "r"}, "answer": {"steps": [["c", "o + 13", "o + 19"], ["o", "s + 17", "s + 36"],... | 25,543 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 13; x = 20; i = p + 9; p = x + 12; z = h + 9; m = z + 16; o = s + 17; g = a + 7; r = c + 6; s = i + 13; l = m + 8; h = g + 16; a = x + 6. If x = 20, what is the resulting value of r?",
"role": "user... | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 13 to r, which gives r = o + 19.\n2. Substitute o = s + 17 to r, which gives r = s + 36.\n3. Substitute s = i + 13 to r, which gives r = i + 49.\n4. Substitute i = p + 9 to r, which gives r = p + 58.\n5. Substitute p = ... |
{"problem": {"rules": {"s": "u + 20", "h": "s + 16", "j": "h + 8", "q": "j + 15", "x": "q + 15", "g": "x + 2", "f": "u + 10", "t": "f + 5", "y": "t + 3", "w": "y + 3", "m": "w + 14", "c": "m + 3", "u": 2}, "premises": {"u": 2}, "target": "g"}, "answer": {"steps": [["s", "u + 20", 22], ["h", "s + 16", 38], ["j", "h + 8"... | 25,544 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = x + 2; h = s + 16; m = w + 14; y = t + 3; c = m + 3; w = y + 3; q = j + 15; t = f + 5; u = 2; s = u + 20; j = h + 8; x = q + 15; f = u + 10. If u = 2, what is the resulting value of g?",
"role": "user"
... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = u + 20, which gives s = 22.\n2. Compute h using h = s + 16, which gives h = 38.\n3. Compute j using j = h + 8, which gives j = 46.\n4. Compute q using q = j + 15, which gives q = 61.\n5. Compute x using x = q + 15, whi... |
{"problem": {"rules": {"l": "h + 9", "o": "l + 2", "j": "o + 13", "s": "j + 8", "e": "s + 20", "n": "e + 1", "a": "h + 15", "u": "a + 11", "c": "u + 8", "k": "c + 4", "f": "k + 16", "i": "f + 16", "h": 14}, "premises": {"h": 14}, "target": "n"}, "answer": {"steps": [["e", "s + 20", "s + 21"], ["s", "j + 8", "j + 29"], ... | 25,545 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = l + 2; e = s + 20; a = h + 15; s = j + 8; h = 14; n = e + 1; u = a + 11; i = f + 16; f = k + 16; l = h + 9; j = o + 13; c = u + 8; k = c + 4. If h = 14, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 20 to n, which gives n = s + 21.\n2. Substitute s = j + 8 to n, which gives n = j + 29.\n3. Substitute j = o + 13 to n, which gives n = o + 42.\n4. Substitute o = l + 2 to n, which gives n = l + 44.\n5. Substitute l = h... |
{"problem": {"rules": {"p": "g + 16", "l": "p + 11", "o": "l + 6", "a": "o + 6", "x": "a + 1", "c": "x + 14", "k": "g + 19", "i": "k + 11", "h": "i + 11", "j": "h + 9", "f": "j + 4", "y": "f + 6", "g": 1}, "premises": {"g": 1}, "target": "c"}, "answer": {"steps": [["x", "a + 1", "a + 15"], ["a", "o + 6", "o + 21"], ["o... | 25,546 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = o + 6; h = i + 11; l = p + 11; i = k + 11; g = 1; j = h + 9; p = g + 16; f = j + 4; k = g + 19; x = a + 1; o = l + 6; c = x + 14; y = f + 6. Given that g = 1, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 1 to c, which gives c = a + 15.\n2. Substitute a = o + 6 to c, which gives c = o + 21.\n3. Substitute o = l + 6 to c, which gives c = l + 27.\n4. Substitute l = p + 11 to c, which gives c = p + 38.\n5. Substitute p = g ... |
{"problem": {"rules": {"k": "h + 18", "t": "k + 6", "u": "t + 13", "l": "u + 15", "z": "l + 5", "e": "z + 3", "a": "h + 13", "g": "a + 2", "b": "g + 19", "r": "b + 4", "f": "r + 7", "i": "f + 5", "h": 12}, "premises": {"h": 12}, "target": "e"}, "answer": {"steps": [["z", "l + 5", "l + 8"], ["l", "u + 15", "u + 23"], ["... | 25,547 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = h + 13; g = a + 2; t = k + 6; i = f + 5; z = l + 5; b = g + 19; f = r + 7; k = h + 18; r = b + 4; l = u + 15; h = 12; u = t + 13; e = z + 3. Given that h = 12, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 5 to e, which gives e = l + 8.\n2. Substitute l = u + 15 to e, which gives e = u + 23.\n3. Substitute u = t + 13 to e, which gives e = t + 36.\n4. Substitute t = k + 6 to e, which gives e = k + 42.\n5. Substitute k = h ... |
{"problem": {"rules": {"u": "h + 19", "i": "u + 15", "w": "i + 16", "v": "w + 4", "x": "v + 19", "m": "x + 4", "o": "h + 3", "y": "o + 10", "g": "y + 14", "q": "g + 13", "l": "q + 6", "p": "l + 16", "h": 5}, "premises": {"h": 5}, "target": "m"}, "answer": {"steps": [["x", "v + 19", "v + 23"], ["v", "w + 4", "w + 27"], ... | 25,548 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 13; x = v + 19; l = q + 6; u = h + 19; v = w + 4; p = l + 16; m = x + 4; g = y + 14; y = o + 10; o = h + 3; i = u + 15; w = i + 16; h = 5. If h = 5, what is the resulting value of m?",
"role": "user... | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 19 to m, which gives m = v + 23.\n2. Substitute v = w + 4 to m, which gives m = w + 27.\n3. Substitute w = i + 16 to m, which gives m = i + 43.\n4. Substitute i = u + 15 to m, which gives m = u + 58.\n5. Substitute u = ... |
{"problem": {"rules": {"z": "l + 17", "m": "z + 2", "o": "m + 8", "h": "o + 18", "y": "h + 10", "d": "y + 2", "t": "l + 1", "j": "t + 8", "q": "j + 13", "u": "q + 19", "s": "u + 4", "x": "s + 13", "l": 13}, "premises": {"l": 13}, "target": "d"}, "answer": {"steps": [["z", "l + 17", 30], ["m", "z + 2", 32], ["o", "m + 8... | 25,549 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = z + 2; y = h + 10; o = m + 8; u = q + 19; t = l + 1; z = l + 17; l = 13; d = y + 2; x = s + 13; j = t + 8; h = o + 18; q = j + 13; s = u + 4. If l = 13, what is the resulting value of d?",
"role": "user... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = l + 17, which gives z = 30.\n2. Compute m using m = z + 2, which gives m = 32.\n3. Compute o using o = m + 8, which gives o = 40.\n4. Compute h using h = o + 18, which gives h = 58.\n5. Compute y using y = h + 10, whic... |
{"problem": {"rules": {"h": "v + 18", "r": "h + 12", "g": "r + 4", "q": "g + 17", "z": "q + 7", "s": "z + 7", "k": "v + 9", "j": "k + 2", "e": "j + 3", "n": "e + 1", "b": "n + 17", "c": "b + 5", "v": 14}, "premises": {"v": 14}, "target": "s"}, "answer": {"steps": [["z", "q + 7", "q + 14"], ["q", "g + 17", "g + 31"], ["... | 25,550 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 2; b = n + 17; h = v + 18; e = j + 3; z = q + 7; n = e + 1; q = g + 17; r = h + 12; s = z + 7; v = 14; k = v + 9; c = b + 5; g = r + 4. If v = 14, what is the resulting value of s?",
"role": "user"
... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 7 to s, which gives s = q + 14.\n2. Substitute q = g + 17 to s, which gives s = g + 31.\n3. Substitute g = r + 4 to s, which gives s = r + 35.\n4. Substitute r = h + 12 to s, which gives s = h + 47.\n5. Substitute h = v... |
{"problem": {"rules": {"f": "w + 13", "g": "f + 11", "e": "g + 16", "i": "e + 15", "h": "i + 17", "o": "h + 17", "x": "w + 1", "z": "x + 8", "y": "z + 6", "u": "y + 11", "r": "u + 4", "v": "r + 1", "w": 19}, "premises": {"w": 19}, "target": "o"}, "answer": {"steps": [["f", "w + 13", 32], ["g", "f + 11", 43], ["e", "g +... | 25,551 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = w + 13; h = i + 17; u = y + 11; e = g + 16; x = w + 1; r = u + 4; y = z + 6; g = f + 11; z = x + 8; i = e + 15; o = h + 17; w = 19; v = r + 1. If w = 19, what is the resulting value of o?",
"role": "use... | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = w + 13, which gives f = 32.\n2. Compute g using g = f + 11, which gives g = 43.\n3. Compute e using e = g + 16, which gives e = 59.\n4. Compute i using i = e + 15, which gives i = 74.\n5. Compute h using h = i + 17, wh... |
{"problem": {"rules": {"e": "y + 4", "w": "e + 18", "d": "w + 10", "z": "d + 20", "l": "z + 2", "t": "l + 14", "n": "y + 18", "k": "n + 11", "q": "k + 8", "g": "q + 8", "x": "g + 8", "h": "x + 8", "y": 15}, "premises": {"y": 15}, "target": "t"}, "answer": {"steps": [["l", "z + 2", "z + 16"], ["z", "d + 20", "d + 36"], ... | 25,552 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = y + 18; t = l + 14; h = x + 8; g = q + 8; d = w + 10; w = e + 18; y = 15; l = z + 2; e = y + 4; z = d + 20; x = g + 8; k = n + 11; q = k + 8. Given that y = 15, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 2 to t, which gives t = z + 16.\n2. Substitute z = d + 20 to t, which gives t = d + 36.\n3. Substitute d = w + 10 to t, which gives t = w + 46.\n4. Substitute w = e + 18 to t, which gives t = e + 64.\n5. Substitute e = ... |
{"problem": {"rules": {"m": "g + 20", "e": "m + 6", "l": "e + 17", "h": "l + 15", "s": "h + 14", "o": "s + 2", "p": "g + 7", "q": "p + 18", "t": "q + 2", "z": "t + 2", "f": "z + 14", "i": "f + 13", "g": 7}, "premises": {"g": 7}, "target": "o"}, "answer": {"steps": [["s", "h + 14", "h + 16"], ["h", "l + 15", "l + 31"], ... | 25,553 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = e + 17; h = l + 15; z = t + 2; s = h + 14; e = m + 6; g = 7; f = z + 14; q = p + 18; i = f + 13; p = g + 7; t = q + 2; m = g + 20; o = s + 2. Given that g = 7, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 14 to o, which gives o = h + 16.\n2. Substitute h = l + 15 to o, which gives o = l + 31.\n3. Substitute l = e + 17 to o, which gives o = e + 48.\n4. Substitute e = m + 6 to o, which gives o = m + 54.\n5. Substitute m = ... |
{"problem": {"rules": {"e": "w + 9", "i": "e + 3", "g": "i + 15", "n": "g + 18", "s": "n + 19", "x": "s + 1", "a": "w + 6", "y": "a + 11", "b": "y + 2", "u": "b + 15", "j": "u + 20", "f": "j + 14", "w": 14}, "premises": {"w": 14}, "target": "x"}, "answer": {"steps": [["s", "n + 19", "n + 20"], ["n", "g + 18", "g + 38"]... | 25,554 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = j + 14; s = n + 19; n = g + 18; x = s + 1; e = w + 9; y = a + 11; a = w + 6; u = b + 15; g = i + 15; b = y + 2; i = e + 3; j = u + 20; w = 14. If w = 14, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = n + 19 to x, which gives x = n + 20.\n2. Substitute n = g + 18 to x, which gives x = g + 38.\n3. Substitute g = i + 15 to x, which gives x = i + 53.\n4. Substitute i = e + 3 to x, which gives x = e + 56.\n5. Substitute e = ... |
{"problem": {"rules": {"v": "o + 12", "i": "v + 20", "u": "i + 5", "k": "u + 4", "p": "k + 3", "y": "p + 9", "z": "o + 1", "l": "z + 7", "c": "l + 7", "f": "c + 1", "n": "f + 13", "a": "n + 10", "o": 9}, "premises": {"o": 9}, "target": "y"}, "answer": {"steps": [["p", "k + 3", "k + 12"], ["k", "u + 4", "u + 16"], ["u",... | 25,555 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = k + 3; n = f + 13; o = 9; f = c + 1; l = z + 7; k = u + 4; u = i + 5; z = o + 1; c = l + 7; y = p + 9; i = v + 20; v = o + 12; a = n + 10. Given that o = 9, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 3 to y, which gives y = k + 12.\n2. Substitute k = u + 4 to y, which gives y = u + 16.\n3. Substitute u = i + 5 to y, which gives y = i + 21.\n4. Substitute i = v + 20 to y, which gives y = v + 41.\n5. Substitute v = o ... |
{"problem": {"rules": {"b": "p + 10", "d": "b + 4", "q": "d + 14", "t": "q + 18", "r": "t + 2", "c": "r + 17", "j": "p + 2", "e": "j + 8", "v": "e + 20", "m": "v + 8", "o": "m + 1", "g": "o + 12", "p": 19}, "premises": {"p": 19}, "target": "c"}, "answer": {"steps": [["b", "p + 10", 29], ["d", "b + 4", 33], ["q", "d + 1... | 25,556 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = r + 17; j = p + 2; d = b + 4; p = 19; g = o + 12; t = q + 18; m = v + 8; q = d + 14; b = p + 10; o = m + 1; e = j + 8; v = e + 20; r = t + 2. If p = 19, what is the resulting value of c?",
"role": "user... | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = p + 10, which gives b = 29.\n2. Compute d using d = b + 4, which gives d = 33.\n3. Compute q using q = d + 14, which gives q = 47.\n4. Compute t using t = q + 18, which gives t = 65.\n5. Compute r using r = t + 2, whic... |
{"problem": {"rules": {"s": "x + 18", "h": "s + 19", "r": "h + 19", "z": "r + 16", "j": "z + 6", "n": "j + 11", "a": "x + 20", "p": "a + 19", "v": "p + 20", "e": "v + 12", "y": "e + 19", "t": "y + 14", "x": 6}, "premises": {"x": 6}, "target": "n"}, "answer": {"steps": [["s", "x + 18", 24], ["h", "s + 19", 43], ["r", "h... | 25,557 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 16; h = s + 19; p = a + 19; t = y + 14; x = 6; s = x + 18; v = p + 20; r = h + 19; e = v + 12; y = e + 19; a = x + 20; j = z + 6; n = j + 11. If x = 6, determine 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 s using s = x + 18, which gives s = 24.\n2. Compute h using h = s + 19, which gives h = 43.\n3. Compute r using r = h + 19, which gives r = 62.\n4. Compute z using z = r + 16, which gives z = 78.\n5. Compute j using j = z + 6, whi... |
{"problem": {"rules": {"h": "v + 3", "i": "h + 11", "o": "i + 15", "e": "o + 2", "d": "e + 19", "y": "d + 12", "u": "v + 20", "r": "u + 13", "b": "r + 5", "k": "b + 13", "w": "k + 20", "a": "w + 17", "v": 8}, "premises": {"v": 8}, "target": "y"}, "answer": {"steps": [["h", "v + 3", 11], ["i", "h + 11", 22], ["o", "i + ... | 25,558 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 13; w = k + 20; o = i + 15; a = w + 17; h = v + 3; i = h + 11; r = u + 13; b = r + 5; u = v + 20; d = e + 19; e = o + 2; y = d + 12; v = 8. If v = 8, what is the resulting value of y?",
"role": "use... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = v + 3, which gives h = 11.\n2. Compute i using i = h + 11, which gives i = 22.\n3. Compute o using o = i + 15, which gives o = 37.\n4. Compute e using e = o + 2, which gives e = 39.\n5. Compute d using d = e + 19, whic... |
{"problem": {"rules": {"x": "y + 11", "d": "x + 12", "t": "d + 10", "n": "t + 9", "w": "n + 16", "e": "w + 7", "g": "y + 3", "b": "g + 6", "r": "b + 19", "l": "r + 13", "o": "l + 7", "z": "o + 16", "y": 16}, "premises": {"y": 16}, "target": "e"}, "answer": {"steps": [["x", "y + 11", 27], ["d", "x + 12", 39], ["t", "d +... | 25,559 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = t + 9; x = y + 11; e = w + 7; l = r + 13; r = b + 19; d = x + 12; t = d + 10; b = g + 6; z = o + 16; o = l + 7; w = n + 16; y = 16; g = y + 3. If y = 16, 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 x using x = y + 11, which gives x = 27.\n2. Compute d using d = x + 12, which gives d = 39.\n3. Compute t using t = d + 10, which gives t = 49.\n4. Compute n using n = t + 9, which gives n = 58.\n5. Compute w using w = n + 16, whi... |
{"problem": {"rules": {"r": "n + 20", "h": "r + 13", "d": "h + 9", "s": "d + 3", "q": "s + 8", "o": "q + 5", "j": "n + 16", "f": "j + 18", "e": "f + 17", "i": "e + 17", "m": "i + 8", "g": "m + 3", "n": 7}, "premises": {"n": 7}, "target": "o"}, "answer": {"steps": [["q", "s + 8", "s + 13"], ["s", "d + 3", "d + 16"], ["d... | 25,560 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = d + 3; e = f + 17; o = q + 5; q = s + 8; m = i + 8; g = m + 3; j = n + 16; i = e + 17; d = h + 9; r = n + 20; n = 7; h = r + 13; f = j + 18. Given that n = 7, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 8 to o, which gives o = s + 13.\n2. Substitute s = d + 3 to o, which gives o = d + 16.\n3. Substitute d = h + 9 to o, which gives o = h + 25.\n4. Substitute h = r + 13 to o, which gives o = r + 38.\n5. Substitute r = n ... |
{"problem": {"rules": {"y": "h + 18", "u": "y + 17", "r": "u + 14", "b": "r + 19", "d": "b + 13", "z": "d + 6", "j": "h + 12", "c": "j + 8", "g": "c + 7", "o": "g + 17", "a": "o + 6", "x": "a + 6", "h": 3}, "premises": {"h": 3}, "target": "z"}, "answer": {"steps": [["d", "b + 13", "b + 19"], ["b", "r + 19", "r + 38"], ... | 25,561 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = a + 6; c = j + 8; g = c + 7; j = h + 12; y = h + 18; o = g + 17; b = r + 19; r = u + 14; h = 3; z = d + 6; d = b + 13; a = o + 6; u = y + 17. If h = 3, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 13 to z, which gives z = b + 19.\n2. Substitute b = r + 19 to z, which gives z = r + 38.\n3. Substitute r = u + 14 to z, which gives z = u + 52.\n4. Substitute u = y + 17 to z, which gives z = y + 69.\n5. Substitute y =... |
{"problem": {"rules": {"q": "t + 8", "b": "q + 18", "i": "b + 16", "a": "i + 13", "o": "a + 11", "l": "o + 3", "n": "t + 9", "v": "n + 5", "c": "v + 5", "w": "c + 14", "z": "w + 11", "r": "z + 15", "t": 4}, "premises": {"t": 4}, "target": "l"}, "answer": {"steps": [["q", "t + 8", 12], ["b", "q + 18", 30], ["i", "b + 16... | 25,562 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = v + 5; w = c + 14; v = n + 5; o = a + 11; n = t + 9; z = w + 11; a = i + 13; t = 4; i = b + 16; r = z + 15; b = q + 18; l = o + 3; q = t + 8. If t = 4, what is the resulting value of l?",
"role": "user"... | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = t + 8, which gives q = 12.\n2. Compute b using b = q + 18, which gives b = 30.\n3. Compute i using i = b + 16, which gives i = 46.\n4. Compute a using a = i + 13, which gives a = 59.\n5. Compute o using o = a + 11, whi... |
{"problem": {"rules": {"g": "u + 1", "w": "g + 14", "a": "w + 18", "r": "a + 15", "i": "r + 12", "v": "i + 15", "o": "u + 14", "h": "o + 7", "t": "h + 11", "x": "t + 8", "p": "x + 3", "b": "p + 7", "u": 7}, "premises": {"u": 7}, "target": "v"}, "answer": {"steps": [["g", "u + 1", 8], ["w", "g + 14", 22], ["a", "w + 18"... | 25,563 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = r + 12; x = t + 8; r = a + 15; v = i + 15; g = u + 1; b = p + 7; o = u + 14; u = 7; p = x + 3; t = h + 11; w = g + 14; h = o + 7; a = w + 18. If u = 7, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = u + 1, which gives g = 8.\n2. Compute w using w = g + 14, which gives w = 22.\n3. Compute a using a = w + 18, which gives a = 40.\n4. Compute r using r = a + 15, which gives r = 55.\n5. Compute i using i = r + 12, whic... |
{"problem": {"rules": {"p": "r + 15", "m": "p + 9", "s": "m + 20", "j": "s + 4", "b": "j + 9", "w": "b + 17", "y": "r + 18", "h": "y + 16", "e": "h + 2", "q": "e + 3", "d": "q + 16", "i": "d + 16", "r": 6}, "premises": {"r": 6}, "target": "w"}, "answer": {"steps": [["p", "r + 15", 21], ["m", "p + 9", 30], ["s", "m + 20... | 25,564 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = p + 9; d = q + 16; q = e + 3; e = h + 2; s = m + 20; i = d + 16; y = r + 18; r = 6; p = r + 15; j = s + 4; h = y + 16; b = j + 9; w = b + 17. Given that r = 6, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = r + 15, which gives p = 21.\n2. Compute m using m = p + 9, which gives m = 30.\n3. Compute s using s = m + 20, which gives s = 50.\n4. Compute j using j = s + 4, which gives j = 54.\n5. Compute b using b = j + 9, which... |
{"problem": {"rules": {"w": "b + 14", "a": "w + 18", "g": "a + 12", "l": "g + 18", "s": "l + 15", "k": "s + 17", "d": "b + 4", "q": "d + 14", "i": "q + 18", "r": "i + 3", "n": "r + 15", "c": "n + 7", "b": 4}, "premises": {"b": 4}, "target": "k"}, "answer": {"steps": [["w", "b + 14", 18], ["a", "w + 18", 36], ["g", "a +... | 25,565 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 18; c = n + 7; r = i + 3; s = l + 15; i = q + 18; a = w + 18; w = b + 14; d = b + 4; g = a + 12; q = d + 14; k = s + 17; n = r + 15; b = 4. If b = 4, what is the resulting value of k?",
"role": "use... | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = b + 14, which gives w = 18.\n2. Compute a using a = w + 18, which gives a = 36.\n3. Compute g using g = a + 12, which gives g = 48.\n4. Compute l using l = g + 18, which gives l = 66.\n5. Compute s using s = l + 15, wh... |
{"problem": {"rules": {"x": "r + 10", "v": "x + 9", "a": "v + 19", "s": "a + 9", "y": "s + 7", "d": "y + 4", "t": "r + 9", "m": "t + 18", "i": "m + 7", "z": "i + 7", "u": "z + 12", "w": "u + 18", "r": 4}, "premises": {"r": 4}, "target": "d"}, "answer": {"steps": [["x", "r + 10", 14], ["v", "x + 9", 23], ["a", "v + 19",... | 25,566 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = m + 7; m = t + 18; t = r + 9; z = i + 7; a = v + 19; u = z + 12; v = x + 9; x = r + 10; d = y + 4; s = a + 9; r = 4; w = u + 18; y = s + 7. If r = 4, what is the resulting value of d?",
"role": "user"
... | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = r + 10, which gives x = 14.\n2. Compute v using v = x + 9, which gives v = 23.\n3. Compute a using a = v + 19, which gives a = 42.\n4. Compute s using s = a + 9, which gives s = 51.\n5. Compute y using y = s + 7, which... |
{"problem": {"rules": {"e": "u + 19", "p": "e + 10", "i": "p + 14", "j": "i + 13", "w": "j + 12", "o": "w + 8", "b": "u + 10", "c": "b + 8", "k": "c + 18", "q": "k + 2", "v": "q + 11", "n": "v + 20", "u": 19}, "premises": {"u": 19}, "target": "o"}, "answer": {"steps": [["w", "j + 12", "j + 20"], ["j", "i + 13", "i + 33... | 25,567 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = b + 8; p = e + 10; b = u + 10; n = v + 20; e = u + 19; u = 19; k = c + 18; q = k + 2; w = j + 12; o = w + 8; i = p + 14; j = i + 13; v = q + 11. If u = 19, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 12 to o, which gives o = j + 20.\n2. Substitute j = i + 13 to o, which gives o = i + 33.\n3. Substitute i = p + 14 to o, which gives o = p + 47.\n4. Substitute p = e + 10 to o, which gives o = e + 57.\n5. Substitute e =... |
{"problem": {"rules": {"x": "f + 9", "r": "x + 7", "i": "r + 5", "g": "i + 20", "n": "g + 19", "w": "n + 3", "m": "f + 13", "h": "m + 20", "d": "h + 20", "l": "d + 10", "c": "l + 6", "b": "c + 13", "f": 16}, "premises": {"f": 16}, "target": "w"}, "answer": {"steps": [["n", "g + 19", "g + 22"], ["g", "i + 20", "i + 42"]... | 25,568 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = i + 20; r = x + 7; n = g + 19; h = m + 20; m = f + 13; w = n + 3; d = h + 20; f = 16; l = d + 10; b = c + 13; c = l + 6; i = r + 5; x = f + 9. Given that f = 16, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 19 to w, which gives w = g + 22.\n2. Substitute g = i + 20 to w, which gives w = i + 42.\n3. Substitute i = r + 5 to w, which gives w = r + 47.\n4. Substitute r = x + 7 to w, which gives w = x + 54.\n5. Substitute x = f... |
{"problem": {"rules": {"y": "r + 4", "f": "y + 11", "h": "f + 3", "k": "h + 9", "a": "k + 6", "z": "a + 18", "c": "r + 11", "t": "c + 11", "n": "t + 10", "b": "n + 1", "i": "b + 20", "m": "i + 5", "r": 8}, "premises": {"r": 8}, "target": "z"}, "answer": {"steps": [["y", "r + 4", 12], ["f", "y + 11", 23], ["h", "f + 3",... | 25,569 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = f + 3; t = c + 11; a = k + 6; r = 8; z = a + 18; i = b + 20; m = i + 5; f = y + 11; k = h + 9; c = r + 11; b = n + 1; y = r + 4; n = t + 10. If r = 8, 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 y using y = r + 4, which gives y = 12.\n2. Compute f using f = y + 11, which gives f = 23.\n3. Compute h using h = f + 3, which gives h = 26.\n4. Compute k using k = h + 9, which gives k = 35.\n5. Compute a using a = k + 6, which ... |
{"problem": {"rules": {"m": "r + 6", "s": "m + 9", "i": "s + 3", "e": "i + 10", "d": "e + 11", "t": "d + 10", "x": "r + 15", "h": "x + 15", "c": "h + 14", "l": "c + 6", "y": "l + 10", "z": "y + 3", "r": 15}, "premises": {"r": 15}, "target": "t"}, "answer": {"steps": [["d", "e + 11", "e + 21"], ["e", "i + 10", "i + 31"]... | 25,570 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = c + 6; x = r + 15; z = y + 3; c = h + 14; i = s + 3; e = i + 10; m = r + 6; s = m + 9; d = e + 11; r = 15; h = x + 15; y = l + 10; t = d + 10. If r = 15, what is the resulting value of t?",
"role": "use... | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 11 to t, which gives t = e + 21.\n2. Substitute e = i + 10 to t, which gives t = i + 31.\n3. Substitute i = s + 3 to t, which gives t = s + 34.\n4. Substitute s = m + 9 to t, which gives t = m + 43.\n5. Substitute m = r... |
{"problem": {"rules": {"v": "s + 7", "l": "v + 15", "m": "l + 8", "z": "m + 8", "j": "z + 18", "f": "j + 15", "k": "s + 9", "g": "k + 7", "t": "g + 13", "y": "t + 15", "c": "y + 16", "r": "c + 4", "s": 4}, "premises": {"s": 4}, "target": "f"}, "answer": {"steps": [["j", "z + 18", "z + 33"], ["z", "m + 8", "m + 41"], ["... | 25,571 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = m + 8; s = 4; y = t + 15; j = z + 18; l = v + 15; t = g + 13; r = c + 4; f = j + 15; c = y + 16; g = k + 7; k = s + 9; v = s + 7; m = l + 8. Given that s = 4, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 18 to f, which gives f = z + 33.\n2. Substitute z = m + 8 to f, which gives f = m + 41.\n3. Substitute m = l + 8 to f, which gives f = l + 49.\n4. Substitute l = v + 15 to f, which gives f = v + 64.\n5. Substitute v = s... |
{"problem": {"rules": {"s": "x + 9", "z": "s + 9", "o": "z + 16", "d": "o + 18", "a": "d + 1", "b": "a + 11", "c": "x + 18", "e": "c + 3", "g": "e + 7", "h": "g + 6", "p": "h + 1", "f": "p + 2", "x": 15}, "premises": {"x": 15}, "target": "b"}, "answer": {"steps": [["a", "d + 1", "d + 12"], ["d", "o + 18", "o + 30"], ["... | 25,572 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = e + 7; p = h + 1; h = g + 6; o = z + 16; f = p + 2; d = o + 18; b = a + 11; x = 15; s = x + 9; z = s + 9; e = c + 3; a = d + 1; c = x + 18. Given that x = 15, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 1 to b, which gives b = d + 12.\n2. Substitute d = o + 18 to b, which gives b = o + 30.\n3. Substitute o = z + 16 to b, which gives b = z + 46.\n4. Substitute z = s + 9 to b, which gives b = s + 55.\n5. Substitute s = x... |
{"problem": {"rules": {"p": "g + 15", "z": "p + 4", "t": "z + 19", "m": "t + 6", "b": "m + 3", "c": "b + 18", "y": "g + 15", "j": "y + 7", "r": "j + 3", "v": "r + 3", "n": "v + 18", "e": "n + 19", "g": 10}, "premises": {"g": 10}, "target": "c"}, "answer": {"steps": [["b", "m + 3", "m + 21"], ["m", "t + 6", "t + 27"], [... | 25,573 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = g + 15; v = r + 3; p = g + 15; j = y + 7; m = t + 6; c = b + 18; e = n + 19; n = v + 18; r = j + 3; b = m + 3; g = 10; z = p + 4; t = z + 19. If g = 10, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 3 to c, which gives c = m + 21.\n2. Substitute m = t + 6 to c, which gives c = t + 27.\n3. Substitute t = z + 19 to c, which gives c = z + 46.\n4. Substitute z = p + 4 to c, which gives c = p + 50.\n5. Substitute p = g ... |
{"problem": {"rules": {"r": "w + 19", "q": "r + 18", "j": "q + 15", "k": "j + 5", "u": "k + 2", "y": "u + 4", "i": "w + 11", "f": "i + 12", "v": "f + 9", "z": "v + 1", "l": "z + 2", "g": "l + 5", "w": 18}, "premises": {"w": 18}, "target": "y"}, "answer": {"steps": [["r", "w + 19", 37], ["q", "r + 18", 55], ["j", "q + 1... | 25,574 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = q + 15; z = v + 1; k = j + 5; u = k + 2; l = z + 2; q = r + 18; g = l + 5; v = f + 9; i = w + 11; f = i + 12; r = w + 19; w = 18; y = u + 4. If w = 18, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = w + 19, which gives r = 37.\n2. Compute q using q = r + 18, which gives q = 55.\n3. Compute j using j = q + 15, which gives j = 70.\n4. Compute k using k = j + 5, which gives k = 75.\n5. Compute u using u = k + 2, whic... |
{"problem": {"rules": {"u": "q + 10", "m": "u + 5", "k": "m + 10", "o": "k + 17", "j": "o + 20", "e": "j + 10", "h": "q + 3", "i": "h + 8", "c": "i + 3", "b": "c + 13", "s": "b + 18", "f": "s + 4", "q": 15}, "premises": {"q": 15}, "target": "e"}, "answer": {"steps": [["j", "o + 20", "o + 30"], ["o", "k + 17", "k + 47"]... | 25,575 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = q + 10; m = u + 5; o = k + 17; i = h + 8; s = b + 18; f = s + 4; c = i + 3; k = m + 10; e = j + 10; b = c + 13; h = q + 3; q = 15; j = o + 20. Given that q = 15, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 20 to e, which gives e = o + 30.\n2. Substitute o = k + 17 to e, which gives e = k + 47.\n3. Substitute k = m + 10 to e, which gives e = m + 57.\n4. Substitute m = u + 5 to e, which gives e = u + 62.\n5. Substitute u = ... |
{"problem": {"rules": {"y": "i + 19", "f": "y + 2", "a": "f + 19", "l": "a + 1", "w": "l + 4", "b": "w + 18", "k": "i + 8", "c": "k + 6", "u": "c + 15", "o": "u + 19", "e": "o + 3", "j": "e + 15", "i": 3}, "premises": {"i": 3}, "target": "b"}, "answer": {"steps": [["w", "l + 4", "l + 22"], ["l", "a + 1", "a + 23"], ["a... | 25,576 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = i + 19; c = k + 6; a = f + 19; k = i + 8; e = o + 3; l = a + 1; j = e + 15; o = u + 19; w = l + 4; i = 3; f = y + 2; b = w + 18; u = c + 15. If i = 3, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 4 to b, which gives b = l + 22.\n2. Substitute l = a + 1 to b, which gives b = a + 23.\n3. Substitute a = f + 19 to b, which gives b = f + 42.\n4. Substitute f = y + 2 to b, which gives b = y + 44.\n5. Substitute y = i ... |
{"problem": {"rules": {"y": "x + 7", "i": "y + 6", "v": "i + 20", "u": "v + 6", "d": "u + 1", "s": "d + 14", "w": "x + 8", "r": "w + 5", "z": "r + 15", "f": "z + 2", "j": "f + 5", "a": "j + 15", "x": 7}, "premises": {"x": 7}, "target": "s"}, "answer": {"steps": [["d", "u + 1", "u + 15"], ["u", "v + 6", "v + 21"], ["v",... | 25,577 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = 7; w = x + 8; f = z + 2; i = y + 6; r = w + 5; y = x + 7; j = f + 5; s = d + 14; z = r + 15; v = i + 20; a = j + 15; d = u + 1; u = v + 6. If x = 7, what is the resulting value of s?",
"role": "user"
... | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 1 to s, which gives s = u + 15.\n2. Substitute u = v + 6 to s, which gives s = v + 21.\n3. Substitute v = i + 20 to s, which gives s = i + 41.\n4. Substitute i = y + 6 to s, which gives s = y + 47.\n5. Substitute y = x ... |
{"problem": {"rules": {"s": "m + 2", "x": "s + 19", "n": "x + 19", "c": "n + 5", "p": "c + 3", "h": "p + 2", "t": "m + 6", "r": "t + 11", "b": "r + 14", "k": "b + 5", "u": "k + 19", "g": "u + 10", "m": 3}, "premises": {"m": 3}, "target": "h"}, "answer": {"steps": [["p", "c + 3", "c + 5"], ["c", "n + 5", "n + 10"], ["n"... | 25,578 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = m + 6; x = s + 19; s = m + 2; k = b + 5; u = k + 19; c = n + 5; b = r + 14; n = x + 19; h = p + 2; p = c + 3; g = u + 10; m = 3; r = t + 11. If m = 3, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 3 to h, which gives h = c + 5.\n2. Substitute c = n + 5 to h, which gives h = n + 10.\n3. Substitute n = x + 19 to h, which gives h = x + 29.\n4. Substitute x = s + 19 to h, which gives h = s + 48.\n5. Substitute s = m ... |
{"problem": {"rules": {"z": "k + 10", "h": "z + 14", "s": "h + 10", "a": "s + 17", "u": "a + 16", "o": "u + 5", "c": "k + 20", "n": "c + 19", "v": "n + 7", "y": "v + 20", "e": "y + 1", "w": "e + 14", "k": 12}, "premises": {"k": 12}, "target": "o"}, "answer": {"steps": [["u", "a + 16", "a + 21"], ["a", "s + 17", "s + 38... | 25,579 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = y + 1; k = 12; s = h + 10; c = k + 20; y = v + 20; a = s + 17; h = z + 14; w = e + 14; n = c + 19; z = k + 10; o = u + 5; v = n + 7; u = a + 16. If k = 12, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 16 to o, which gives o = a + 21.\n2. Substitute a = s + 17 to o, which gives o = s + 38.\n3. Substitute s = h + 10 to o, which gives o = h + 48.\n4. Substitute h = z + 14 to o, which gives o = z + 62.\n5. Substitute z =... |
{"problem": {"rules": {"o": "v + 13", "x": "o + 6", "q": "x + 3", "u": "q + 10", "l": "u + 20", "w": "l + 15", "d": "v + 12", "g": "d + 12", "n": "g + 15", "z": "n + 13", "f": "z + 9", "c": "f + 8", "v": 7}, "premises": {"v": 7}, "target": "w"}, "answer": {"steps": [["o", "v + 13", 20], ["x", "o + 6", 26], ["q", "x + 3... | 25,580 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = n + 13; d = v + 12; w = l + 15; g = d + 12; u = q + 10; l = u + 20; o = v + 13; f = z + 9; n = g + 15; q = x + 3; v = 7; x = o + 6; c = f + 8. If v = 7, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = v + 13, which gives o = 20.\n2. Compute x using x = o + 6, which gives x = 26.\n3. Compute q using q = x + 3, which gives q = 29.\n4. Compute u using u = q + 10, which gives u = 39.\n5. Compute l using l = u + 20, whic... |
{"problem": {"rules": {"n": "a + 10", "p": "n + 20", "x": "p + 10", "f": "x + 10", "t": "f + 5", "e": "t + 13", "m": "a + 1", "o": "m + 4", "s": "o + 10", "y": "s + 9", "w": "y + 6", "j": "w + 10", "a": 11}, "premises": {"a": 11}, "target": "e"}, "answer": {"steps": [["n", "a + 10", 21], ["p", "n + 20", 41], ["x", "p +... | 25,581 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = w + 10; t = f + 5; y = s + 9; e = t + 13; a = 11; x = p + 10; s = o + 10; o = m + 4; p = n + 20; w = y + 6; m = a + 1; n = a + 10; f = x + 10. Given that a = 11, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = a + 10, which gives n = 21.\n2. Compute p using p = n + 20, which gives p = 41.\n3. Compute x using x = p + 10, which gives x = 51.\n4. Compute f using f = x + 10, which gives f = 61.\n5. Compute t using t = f + 5, whi... |
{"problem": {"rules": {"d": "x + 15", "i": "d + 15", "f": "i + 4", "e": "f + 14", "m": "e + 6", "k": "m + 20", "z": "x + 2", "c": "z + 4", "q": "c + 19", "l": "q + 2", "w": "l + 5", "v": "w + 9", "x": 6}, "premises": {"x": 6}, "target": "k"}, "answer": {"steps": [["m", "e + 6", "e + 26"], ["e", "f + 14", "f + 40"], ["f... | 25,582 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = q + 2; w = l + 5; d = x + 15; m = e + 6; e = f + 14; x = 6; k = m + 20; z = x + 2; c = z + 4; i = d + 15; f = i + 4; q = c + 19; v = w + 9. If x = 6, what is the resulting value of k?",
"role": "user"
... | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 6 to k, which gives k = e + 26.\n2. Substitute e = f + 14 to k, which gives k = f + 40.\n3. Substitute f = i + 4 to k, which gives k = i + 44.\n4. Substitute i = d + 15 to k, which gives k = d + 59.\n5. Substitute d = x... |
{"problem": {"rules": {"p": "g + 18", "u": "p + 8", "l": "u + 20", "r": "l + 17", "j": "r + 16", "f": "j + 2", "y": "g + 10", "o": "y + 8", "m": "o + 11", "t": "m + 11", "q": "t + 6", "v": "q + 13", "g": 14}, "premises": {"g": 14}, "target": "f"}, "answer": {"steps": [["j", "r + 16", "r + 18"], ["r", "l + 17", "l + 35"... | 25,583 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = g + 10; m = o + 11; p = g + 18; l = u + 20; r = l + 17; u = p + 8; v = q + 13; f = j + 2; j = r + 16; o = y + 8; q = t + 6; t = m + 11; g = 14. If g = 14, what is the resulting value of f?",
"role": "us... | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 16 to f, which gives f = r + 18.\n2. Substitute r = l + 17 to f, which gives f = l + 35.\n3. Substitute l = u + 20 to f, which gives f = u + 55.\n4. Substitute u = p + 8 to f, which gives f = p + 63.\n5. Substitute p = ... |
{"problem": {"rules": {"r": "l + 6", "d": "r + 7", "e": "d + 6", "c": "e + 6", "v": "c + 18", "g": "v + 16", "i": "l + 1", "y": "i + 2", "p": "y + 11", "m": "p + 13", "q": "m + 5", "n": "q + 20", "l": 14}, "premises": {"l": 14}, "target": "g"}, "answer": {"steps": [["r", "l + 6", 20], ["d", "r + 7", 27], ["e", "d + 6",... | 25,584 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = d + 6; p = y + 11; d = r + 7; q = m + 5; g = v + 16; i = l + 1; r = l + 6; c = e + 6; v = c + 18; m = p + 13; l = 14; n = q + 20; y = i + 2. Given that l = 14, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = l + 6, which gives r = 20.\n2. Compute d using d = r + 7, which gives d = 27.\n3. Compute e using e = d + 6, which gives e = 33.\n4. Compute c using c = e + 6, which gives c = 39.\n5. Compute v using v = c + 18, which ... |
{"problem": {"rules": {"x": "t + 1", "d": "x + 20", "i": "d + 16", "w": "i + 5", "h": "w + 18", "j": "h + 8", "o": "t + 13", "e": "o + 18", "l": "e + 1", "v": "l + 2", "z": "v + 11", "c": "z + 5", "t": 6}, "premises": {"t": 6}, "target": "j"}, "answer": {"steps": [["x", "t + 1", 7], ["d", "x + 20", 27], ["i", "d + 16",... | 25,585 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = i + 5; x = t + 1; t = 6; v = l + 2; l = e + 1; c = z + 5; j = h + 8; d = x + 20; h = w + 18; o = t + 13; z = v + 11; i = d + 16; e = o + 18. Given that t = 6, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = t + 1, which gives x = 7.\n2. Compute d using d = x + 20, which gives d = 27.\n3. Compute i using i = d + 16, which gives i = 43.\n4. Compute w using w = i + 5, which gives w = 48.\n5. Compute h using h = w + 18, which... |
{"problem": {"rules": {"t": "j + 7", "u": "t + 16", "b": "u + 3", "p": "b + 18", "d": "p + 7", "q": "d + 11", "y": "j + 20", "x": "y + 4", "f": "x + 14", "s": "f + 5", "z": "s + 14", "c": "z + 15", "j": 19}, "premises": {"j": 19}, "target": "q"}, "answer": {"steps": [["t", "j + 7", 26], ["u", "t + 16", 42], ["b", "u + ... | 25,586 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = t + 16; q = d + 11; y = j + 20; b = u + 3; d = p + 7; j = 19; p = b + 18; f = x + 14; z = s + 14; x = y + 4; s = f + 5; c = z + 15; t = j + 7. Given that j = 19, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = j + 7, which gives t = 26.\n2. Compute u using u = t + 16, which gives u = 42.\n3. Compute b using b = u + 3, which gives b = 45.\n4. Compute p using p = b + 18, which gives p = 63.\n5. Compute d using d = p + 7, which... |
{"problem": {"rules": {"c": "g + 20", "x": "c + 10", "d": "x + 8", "a": "d + 9", "f": "a + 14", "i": "f + 9", "u": "g + 6", "l": "u + 16", "v": "l + 19", "k": "v + 19", "h": "k + 11", "n": "h + 18", "g": 17}, "premises": {"g": 17}, "target": "i"}, "answer": {"steps": [["c", "g + 20", 37], ["x", "c + 10", 47], ["d", "x ... | 25,587 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = u + 16; d = x + 8; f = a + 14; h = k + 11; x = c + 10; i = f + 9; v = l + 19; u = g + 6; g = 17; k = v + 19; a = d + 9; c = g + 20; n = h + 18. Given that g = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = g + 20, which gives c = 37.\n2. Compute x using x = c + 10, which gives x = 47.\n3. Compute d using d = x + 8, which gives d = 55.\n4. Compute a using a = d + 9, which gives a = 64.\n5. Compute f using f = a + 14, whic... |
{"problem": {"rules": {"f": "e + 16", "n": "f + 18", "z": "n + 4", "x": "z + 15", "l": "x + 9", "w": "l + 4", "a": "e + 16", "q": "a + 8", "i": "q + 13", "d": "i + 11", "k": "d + 7", "h": "k + 5", "e": 5}, "premises": {"e": 5}, "target": "w"}, "answer": {"steps": [["f", "e + 16", 21], ["n", "f + 18", 39], ["z", "n + 4"... | 25,588 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = z + 15; i = q + 13; z = n + 4; a = e + 16; f = e + 16; q = a + 8; n = f + 18; e = 5; l = x + 9; h = k + 5; w = l + 4; d = i + 11; k = d + 7. If e = 5, what is the resulting 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 f using f = e + 16, which gives f = 21.\n2. Compute n using n = f + 18, which gives n = 39.\n3. Compute z using z = n + 4, which gives z = 43.\n4. Compute x using x = z + 15, which gives x = 58.\n5. Compute l using l = x + 9, whic... |
{"problem": {"rules": {"t": "n + 18", "l": "t + 11", "p": "l + 3", "m": "p + 16", "x": "m + 11", "z": "x + 3", "i": "n + 5", "b": "i + 8", "d": "b + 9", "q": "d + 19", "r": "q + 3", "c": "r + 8", "n": 6}, "premises": {"n": 6}, "target": "z"}, "answer": {"steps": [["x", "m + 11", "m + 14"], ["m", "p + 16", "p + 30"], ["... | 25,589 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = t + 11; d = b + 9; r = q + 3; i = n + 5; b = i + 8; t = n + 18; m = p + 16; n = 6; q = d + 19; z = x + 3; c = r + 8; p = l + 3; x = m + 11. If n = 6, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 11 to z, which gives z = m + 14.\n2. Substitute m = p + 16 to z, which gives z = p + 30.\n3. Substitute p = l + 3 to z, which gives z = l + 33.\n4. Substitute l = t + 11 to z, which gives z = t + 44.\n5. Substitute t = ... |
{"problem": {"rules": {"b": "l + 8", "g": "b + 12", "i": "g + 16", "c": "i + 12", "k": "c + 5", "m": "k + 16", "x": "l + 5", "y": "x + 13", "r": "y + 19", "h": "r + 6", "n": "h + 1", "o": "n + 4", "l": 5}, "premises": {"l": 5}, "target": "m"}, "answer": {"steps": [["k", "c + 5", "c + 21"], ["c", "i + 12", "i + 33"], ["... | 25,590 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = c + 5; l = 5; r = y + 19; c = i + 12; n = h + 1; o = n + 4; g = b + 12; h = r + 6; m = k + 16; y = x + 13; i = g + 16; x = l + 5; b = l + 8. If l = 5, what is the resulting value of m?",
"role": "user"
... | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 5 to m, which gives m = c + 21.\n2. Substitute c = i + 12 to m, which gives m = i + 33.\n3. Substitute i = g + 16 to m, which gives m = g + 49.\n4. Substitute g = b + 12 to m, which gives m = b + 61.\n5. Substitute b = ... |
{"problem": {"rules": {"c": "i + 8", "f": "c + 5", "h": "f + 4", "d": "h + 15", "v": "d + 13", "b": "v + 16", "a": "i + 6", "s": "a + 8", "l": "s + 20", "o": "l + 7", "q": "o + 19", "r": "q + 3", "i": 20}, "premises": {"i": 20}, "target": "b"}, "answer": {"steps": [["c", "i + 8", 28], ["f", "c + 5", 33], ["h", "f + 4",... | 25,591 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = c + 5; l = s + 20; v = d + 13; b = v + 16; c = i + 8; a = i + 6; q = o + 19; o = l + 7; r = q + 3; d = h + 15; h = f + 4; i = 20; s = a + 8. Given that i = 20, find the value of b.",
"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 = i + 8, which gives c = 28.\n2. Compute f using f = c + 5, which gives f = 33.\n3. Compute h using h = f + 4, which gives h = 37.\n4. Compute d using d = h + 15, which gives d = 52.\n5. Compute v using v = d + 13, which... |
{"problem": {"rules": {"e": "r + 11", "g": "e + 17", "q": "g + 11", "t": "q + 16", "i": "t + 6", "j": "i + 14", "m": "r + 3", "z": "m + 8", "d": "z + 8", "s": "d + 10", "x": "s + 5", "f": "x + 2", "r": 15}, "premises": {"r": 15}, "target": "j"}, "answer": {"steps": [["i", "t + 6", "t + 20"], ["t", "q + 16", "q + 36"], ... | 25,592 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = g + 11; d = z + 8; r = 15; x = s + 5; i = t + 6; j = i + 14; g = e + 17; z = m + 8; t = q + 16; s = d + 10; m = r + 3; e = r + 11; f = x + 2. If r = 15, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 6 to j, which gives j = t + 20.\n2. Substitute t = q + 16 to j, which gives j = q + 36.\n3. Substitute q = g + 11 to j, which gives j = g + 47.\n4. Substitute g = e + 17 to j, which gives j = e + 64.\n5. Substitute e = ... |
{"problem": {"rules": {"w": "q + 16", "o": "w + 6", "f": "o + 7", "v": "f + 15", "g": "v + 17", "k": "g + 12", "x": "q + 17", "h": "x + 14", "u": "h + 10", "l": "u + 17", "d": "l + 13", "n": "d + 14", "q": 10}, "premises": {"q": 10}, "target": "k"}, "answer": {"steps": [["w", "q + 16", 26], ["o", "w + 6", 32], ["f", "o... | 25,593 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = l + 13; h = x + 14; k = g + 12; w = q + 16; g = v + 17; f = o + 7; u = h + 10; n = d + 14; o = w + 6; q = 10; v = f + 15; l = u + 17; x = q + 17. Given that q = 10, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = q + 16, which gives w = 26.\n2. Compute o using o = w + 6, which gives o = 32.\n3. Compute f using f = o + 7, which gives f = 39.\n4. Compute v using v = f + 15, which gives v = 54.\n5. Compute g using g = v + 17, whic... |
{"problem": {"rules": {"u": "d + 11", "q": "u + 14", "o": "q + 9", "p": "o + 10", "w": "p + 19", "a": "w + 20", "v": "d + 4", "n": "v + 7", "h": "n + 13", "k": "h + 3", "e": "k + 3", "j": "e + 13", "d": 12}, "premises": {"d": 12}, "target": "a"}, "answer": {"steps": [["u", "d + 11", 23], ["q", "u + 14", 37], ["o", "q +... | 25,594 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = h + 3; n = v + 7; j = e + 13; p = o + 10; u = d + 11; e = k + 3; h = n + 13; d = 12; w = p + 19; a = w + 20; o = q + 9; q = u + 14; v = d + 4. Given that d = 12, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = d + 11, which gives u = 23.\n2. Compute q using q = u + 14, which gives q = 37.\n3. Compute o using o = q + 9, which gives o = 46.\n4. Compute p using p = o + 10, which gives p = 56.\n5. Compute w using w = p + 19, whi... |
{"problem": {"rules": {"f": "v + 11", "q": "f + 4", "r": "q + 1", "y": "r + 16", "w": "y + 15", "g": "w + 19", "u": "v + 20", "b": "u + 14", "m": "b + 5", "i": "m + 3", "h": "i + 10", "d": "h + 8", "v": 16}, "premises": {"v": 16}, "target": "g"}, "answer": {"steps": [["w", "y + 15", "y + 34"], ["y", "r + 16", "r + 50"]... | 25,595 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 11; u = v + 20; d = h + 8; w = y + 15; g = w + 19; q = f + 4; h = i + 10; v = 16; m = b + 5; i = m + 3; y = r + 16; r = q + 1; b = u + 14. If v = 16, what is the resulting value of g?",
"role": "use... | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 15 to g, which gives g = y + 34.\n2. Substitute y = r + 16 to g, which gives g = r + 50.\n3. Substitute r = q + 1 to g, which gives g = q + 51.\n4. Substitute q = f + 4 to g, which gives g = f + 55.\n5. Substitute f = v... |
{"problem": {"rules": {"j": "x + 3", "y": "j + 19", "c": "y + 13", "k": "c + 8", "q": "k + 4", "b": "q + 3", "g": "x + 16", "d": "g + 8", "n": "d + 12", "m": "n + 15", "s": "m + 12", "l": "s + 12", "x": 15}, "premises": {"x": 15}, "target": "b"}, "answer": {"steps": [["q", "k + 4", "k + 7"], ["k", "c + 8", "c + 15"], [... | 25,596 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = 15; s = m + 12; c = y + 13; l = s + 12; b = q + 3; q = k + 4; j = x + 3; y = j + 19; n = d + 12; k = c + 8; m = n + 15; d = g + 8; g = x + 16. If x = 15, what is the resulting value of b?",
"role": "use... | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 4 to b, which gives b = k + 7.\n2. Substitute k = c + 8 to b, which gives b = c + 15.\n3. Substitute c = y + 13 to b, which gives b = y + 28.\n4. Substitute y = j + 19 to b, which gives b = j + 47.\n5. Substitute j = x ... |
{"problem": {"rules": {"g": "x + 14", "e": "g + 11", "f": "e + 19", "v": "f + 20", "b": "v + 18", "k": "b + 5", "p": "x + 13", "l": "p + 15", "d": "l + 17", "s": "d + 2", "h": "s + 15", "c": "h + 6", "x": 3}, "premises": {"x": 3}, "target": "k"}, "answer": {"steps": [["g", "x + 14", 17], ["e", "g + 11", 28], ["f", "e +... | 25,597 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 3; l = p + 15; e = g + 11; p = x + 13; k = b + 5; h = s + 15; c = h + 6; b = v + 18; s = d + 2; v = f + 20; g = x + 14; f = e + 19; d = l + 17. Given that x = 3, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = x + 14, which gives g = 17.\n2. Compute e using e = g + 11, which gives e = 28.\n3. Compute f using f = e + 19, which gives f = 47.\n4. Compute v using v = f + 20, which gives v = 67.\n5. Compute b using b = v + 18, wh... |
{"problem": {"rules": {"p": "y + 16", "r": "p + 17", "u": "r + 20", "n": "u + 20", "d": "n + 3", "x": "d + 4", "m": "y + 3", "w": "m + 14", "f": "w + 12", "t": "f + 18", "h": "t + 11", "q": "h + 6", "y": 1}, "premises": {"y": 1}, "target": "x"}, "answer": {"steps": [["d", "n + 3", "n + 7"], ["n", "u + 20", "u + 27"], [... | 25,598 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = 1; h = t + 11; r = p + 17; d = n + 3; t = f + 18; p = y + 16; u = r + 20; x = d + 4; w = m + 14; n = u + 20; q = h + 6; m = y + 3; f = w + 12. If y = 1, what is the resulting value of x?",
"role": "user... | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 3 to x, which gives x = n + 7.\n2. Substitute n = u + 20 to x, which gives x = u + 27.\n3. Substitute u = r + 20 to x, which gives x = r + 47.\n4. Substitute r = p + 17 to x, which gives x = p + 64.\n5. Substitute p = y... |
{"problem": {"rules": {"f": "h + 6", "d": "f + 15", "t": "d + 16", "g": "t + 1", "c": "g + 4", "r": "c + 11", "l": "h + 1", "w": "l + 11", "n": "w + 4", "v": "n + 9", "i": "v + 1", "o": "i + 17", "h": 16}, "premises": {"h": 16}, "target": "r"}, "answer": {"steps": [["c", "g + 4", "g + 15"], ["g", "t + 1", "t + 16"], ["... | 25,599 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = h + 6; w = l + 11; d = f + 15; v = n + 9; r = c + 11; n = w + 4; h = 16; i = v + 1; g = t + 1; o = i + 17; l = h + 1; c = g + 4; t = d + 16. Given that h = 16, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 4 to r, which gives r = g + 15.\n2. Substitute g = t + 1 to r, which gives r = t + 16.\n3. Substitute t = d + 16 to r, which gives r = d + 32.\n4. Substitute d = f + 15 to r, which gives r = f + 47.\n5. Substitute f = h... |
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