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f sequence gde when three letters picked without replacement from {g: 1, d: 1, e: 4, k: 9, n: 2}. 1/1020 Calculate prob of sequence bbi when three letters picked without replacement from ibaamb. 1/60 Two letters picked without replacement from mnmxmiiigiggxii. Give prob of sequence xg. 1/35 Two letters picked without replacement from pozoszhopozoozv. What is prob of sequence zh? 2/105 Two letters picked without replacement from {v: 5, a: 7, r: 6, x: 1}. Give prob of sequence rr. 5/57 Calculate prob of sequence jxjj when four letters picked without replacement from bjjjbjjxjjbjbj. 3/143 Three letters picked without replacement from {k: 6, t: 2}. Give prob of sequence tkt. 1/28 Three letters picked without replacement from {i: 2, r: 1, z: 1, s: 2, k: 1, y: 2}. What is prob of sequence yks? 1/126 Three letters picked without replacement from okkoooopxxkxoovopknk. Give prob of sequence oxn. 1/285 Two letters picked without replacement from vwwlqzlowlq. What is prob of sequence lw? 9/110 Calculate prob of sequence afcy when four letters picked without replacement from cydfafhfhyhhffcffdfd. 4/14535 Three letters picked without replacement from {e: 4, z: 2, o: 1, w: 3}. What is prob of sequence ewz? 1/30 Four letters picked without replacement from ggzgzggmemmzzmgzzzm. Give prob of sequence gzzm. 35/2584 Three letters picked without replacement from snbnnbqqnqbqqnn. What is prob of sequence nqs? 1/91 Calculate prob of sequence mqh when three letters picked without replacement from {q: 1, h: 5, r: 2, m: 1}. 5/504 Calculate prob of sequence elu when three letters picked without replacement from {g: 1, q: 1, l: 1, u: 1, e: 1}. 1/60 What is prob of sequence llpr when four letters picked without replacement from {p: 3, k: 8, r: 3, l: 2, b: 3}? 1/5168 Calculate prob of sequence rga when three letters picked without replacement from rggrggraggargg. 8/273 What is prob of sequence uu when two letters picked without replacement from {j: 1, u: 3}? 1/2 Calculate prob of sequence lll when three letters picked without replacement from {l: 3, t: 8}. 1/165 What is prob of sequence hruw when four letters picked without replacement from {z: 3, w: 1, u: 1, y: 5, h: 2, r: 8}? 2/14535 Four letters picked without replacement from {s: 4, r: 2}. Give prob of sequence srrs. 1/15 Two letters picked without replacement from {b: 1, x: 1, z: 1, n: 1, c: 1}. Give prob of sequence cx. 1/20 Two letters picked without replacement from axaxianreex. What is prob of sequence nx? 3/110 Two letters picked without replacement from {b: 3, u: 7, c: 9}. What is prob of sequence cb? 3/38 Two letters picked without replacement from {q: 10, f: 1, k: 6}. What is prob of sequence qq? 45/136 Calculate prob of sequence cg when two letters picked without replacement from ggcccgcgggcccg. 7/26 Three letters picked without replacement from {k: 9}. Give prob of sequence kkk. 1 Four letters picked without replacement from {t: 3, x: 3, p: 1, m: 3, u: 1, c: 2}. Give prob of sequence ctmx. 9/2860 What is prob of sequence qi when two letters picked without replacement from {q: 2, c: 6, i: 3, o: 1, x: 1}? 1/26 Calculate prob of sequence cc when two letters picked without replacement from {r: 9, c: 11}. 11/38 Calculate prob of sequence zl when two letters picked without replacement from zzlzzzlzzz. 8/45 Three letters picked without replacement from {n: 1, y: 2, e: 1, o: 1, b: 4, d: 3}. Give prob of sequence yon. 1/660 Calculate prob of sequence aa when two letters picked without replacement from {a: 6, u: 2}. 15/28 What is prob of sequence ew when two letters picked without replacement from ddbwxebxbwbddbk? 1/105 Four letters picked without replacement from {a: 2, g: 1, o: 2, p: 1}. What is prob of sequence aaoo? 1/90 Two letters picked without replacement from {r: 3, d: 2, x: 7, e: 5}. What is prob of sequence rd? 3/136 What is prob of sequence qlmm when four letters picked without replacement from {q: 1, t: 1, m: 4, l: 4}? 1/105 Calculate prob of sequence bcfb when four letters picked without replacement from {b: 3, f: 5, c: 2}. 1/84 Calculate prob of sequence hm when two letters picked without replacement from hmhhhhhhmhm. 12/55 Three letters picked without replacement from llgaulggatalgtlagla. Give prob of sequence gut. 5/2907 Calculate prob of sequence zzz when three letters picked without replacement from {k: 2, z: 18}. 68/95 What is prob of sequence wl when two letters picked without replacement from wrfflfwmwrflwl? 6/91 What is prob of sequence wt when two letters picked without replacement from tgwmggr? 1/42 Four letters picked without replacement from {a: 2, w: 4, m: 3, q: 1}. Give prob of sequence mwwm. 1/70 What is prob of sequence ff when two letters picked without replacement from qfxxqxqfxhmqif? 3/91 What is prob of sequence ul when two letters picked without replacement from vuuuvpugvvl? 2/55 Three letters picked without replacement from zzlrrlzsfssfzfszrl. What is prob of sequence rzs? 5/408 Calculate prob of sequence sc when two letters picked without replacement from {s: 2, c: 3}. 3/10 What is prob of sequence tttt when four letters picked without replacement from {t: 5, e: 7}? 1/99 What is prob of sequence jljl when four letters picked without replacement from lllljllljlll? 1/66 Calculate prob of sequence pppq when four letters picked without replacement from ppgqqppqqqqpqpgp. 7/208 Calculate prob of sequence edre when four letters picked without replacement from rddedrrddddrreeeeeed. 14/969 Calculate prob of sequence tvr when three letters picked without replacement from pvffrfvpvfvtpfrffvv. 2/969 Two letters picked without replacement from {d: 3, b: 1, k: 3, w: 1, m: 5}. Give prob of sequence bd. 1/52 Four letters picked without replacement from {h: 1, z: 1, l: 4, n: 1, y: 2}. What is prob of sequence lhnz? 1/756 Four letters picked without replacement from {j: 1, b: 10, r: 3, q: 2}. What is prob of sequence qjrb? 1/728 Two letters picked without replacement from {u: 2, l: 1, r: 2, c: 1, f: 1}. What is prob of sequence rc? 1/21 What is prob of sequence zik when three letters picked without replacement from lflzfzilkklvklizlk? 1/204 Three letters picked without replacement from {s: 2, p: 6, q: 1, m: 6, v: 2}. What is prob of sequence psv? 1/170 Two letters picked without replacement from {b: 2, r: 1}. Give prob of sequence rb. 1/3 Three letters picked without replacement from {q: 7, j: 6, p: 1, n: 1, t: 2, m: 2}. Give prob of sequence tmj. 4/969 Two letters picked without replacement from {e: 2, d: 2, u: 4}. Give prob of sequence ed. 1/14 Two letters picked without replacement from {x: 2, o: 1, w: 1, z: 2}. What is prob of sequence oz? 1/15 Two letters picked without replacement from {v: 2, a: 5}. Give prob of sequence va. 5/21 Three letters picked without replacement from yhkkkkyyeiehkkkkkhh. Give prob of sequence ihe. 4/2907 What is prob of sequence lf when two letters picked without replacement from {l: 5, g: 3, f: 1}? 5/72 Calculate prob of sequence zc when two letters picked without replacement from fcitzfi. 1/42 Three letters picked without replacement from {b: 4, s: 3, t: 4}. Give prob of sequence ttt. 4/165 What is prob of sequence fn when two letters picked without replacement from yknnanfakaqnnnqfa? 3/68 Two letters picked without replacement from dbdddbudodddd. What is prob of sequence ou? 1/156 Four letters picked without replacement from jjgijjcnj. What is prob of sequence ncjg? 5/3024 Calculate prob of sequence ccsy when four letters picked without replacement from ccsscysc. 3/140 What is prob of sequence obbo when four letters picked without replacement from bbbbbbbbbbbbbbbobbo? 1/171 What is prob of sequence xxv when three letters picked without replacement from tvggxx? 1/60 What is prob of sequence zwz when three letters picked without replacement from oowzxxt? 0 Calculate prob of sequence nenn when four letters picked without replacement from eeeneenneee. 1/165 What is prob of sequence jvw when three letters picked without replacement from {v: 2, w: 4, j: 7}? 14/429 Three letters picked without replacement from {o: 1, v: 4, x: 1, l: 2, s: 2}. Give prob of sequence sxo. 1/360 Two letters picked without replacement from {p: 3, s: 4, q: 1, k: 2, v: 1, f: 4}. What is pro
{ "pile_set_name": "DM Mathematics" }
or 27*n**3/5 - 129*n**2/5 - 6*n. 3*n*(n - 5)*(9*n + 2)/5 Factor 9*v**5 + 123*v**4 + 114*v**3. 3*v**3*(v + 1)*(3*v + 38) Factor -2*u**4 - 8*u**3 - 6*u**2 + 8*u + 8. -2*(u - 1)*(u + 1)*(u + 2)**2 Factor 3*q**2 + 2478*q + 511707. 3*(q + 413)**2 Factor l**2/4 + 13*l/4 + 15/2. (l + 3)*(l + 10)/4 Determine l, given that -l**2/2 + 28*l - 392 = 0. 28 Factor -5*z**3 - 460*z**2 - 13780*z - 135200. -5*(z + 26)**2*(z + 40) Find p, given that 3*p**5 + 3*p**4 - 21*p**3 - 3*p**2 + 18*p = 0. -3, -1, 0, 1, 2 Determine l so that -28*l**4 - 261*l**3/2 - 77*l**2 - 12*l = 0. -4, -3/8, -2/7, 0 Find b such that 3*b**4 + 3*b**3 - 48*b**2 - 48*b = 0. -4, -1, 0, 4 Factor -3587045*f**2 - 33880*f - 80. -5*(847*f + 4)**2 Factor -4*l**2 - 248*l + 252. -4*(l - 1)*(l + 63) Determine b, given that -3*b**2/2 - 119*b/2 + 20 = 0. -40, 1/3 Factor y**4 + 457*y**3 + 51520*y**2 - 158700*y. y*(y - 3)*(y + 230)**2 Let -12*p**5 - 1946*p**4 - 77092*p**3 + 145962*p**2 - 80360*p + 13448 = 0. Calculate p. -82, 1/3, 1/2, 1 Factor 9*h**4 + 114*h**3 + 171*h**2 + 66*h. 3*h*(h + 1)*(h + 11)*(3*h + 2) Factor -2*n**2 + 26*n + 60. -2*(n - 15)*(n + 2) Suppose -2*z**4 - 52*z**3 - 142*z**2 - 92*z = 0. What is z? -23, -2, -1, 0 Solve 4*o**2/5 + 22736*o/5 + 32307856/5 = 0 for o. -2842 Solve -30*y**3 + 1168*y**2 + 2522*y + 820 = 0 for y. -5/3, -2/5, 41 Factor 9*k**4/5 + 38*k**3/5 + 53*k**2/5 + 28*k/5 + 4/5. (k + 1)**2*(k + 2)*(9*k + 2)/5 Suppose 3*p**2/5 - 4116*p/5 + 1411788/5 = 0. Calculate p. 686 Determine z, given that -2*z**3/7 + 54*z**2/7 - 270*z/7 - 1350/7 = 0. -3, 15 Determine q so that -2*q**3/13 - 224*q**2/13 - 34*q - 220/13 = 0. -110, -1 Solve 2*z**5 + 30*z**4 + 134*z**3 + 186*z**2 + 80*z = 0 for z. -8, -5, -1, 0 Factor -y**3/3 + 13*y**2/3 + 11*y - 15. -(y - 15)*(y - 1)*(y + 3)/3 Solve 16*s**4 + 116*s**3 + 204*s**2 + 124*s + 20 = 0. -5, -1, -1/4 Solve 2*y**5 + 5*y**4/2 - 51*y**3/4 - 4*y**2 + 31*y/4 - 3/2 = 0 for y. -3, -1, 1/4, 1/2, 2 Factor -2*q**3/5 - 24*q**2/5 - 34*q/5 + 12. -2*(q - 1)*(q + 3)*(q + 10)/5 Factor 198044802*k**2/13 - 79608*k/13 + 8/13. 2*(9951*k - 2)**2/13 Factor -4*q**2/3 - 10*q/3 - 2. -2*(q + 1)*(2*q + 3)/3 Factor 4*o**3 - 36*o**2 - 304*o + 336. 4*(o - 14)*(o - 1)*(o + 6) Factor 3*o**2 + 27*o - 30. 3*(o - 1)*(o + 10) Factor 2*g**5/3 + 2*g**4 - 88*g**3 + 1312*g**2/3 - 640*g. 2*g*(g - 4)**3*(g + 15)/3 Let 28*t**2 + 16*t + 12/7 = 0. What is t? -3/7, -1/7 Solve t**4/7 + 32*t**3/7 - 3*t**2/7 - 14*t - 64/7 = 0. -32, -1, 2 Factor -2*d**5/5 + 84*d**4/5 - 794*d**3/5 - 1848*d**2/5 - 968*d/5. -2*d*(d - 22)**2*(d + 1)**2/5 Find i such that 2*i**2/9 - 22*i/9 + 4 = 0. 2, 9 Suppose -2*y**2/13 - 180*y/13 - 4050/13 = 0. Calculate y. -45 Find q such that 5*q**4 + 145*q**3 - 3015*q**2 - 145*q + 3010 = 0. -43, -1, 1, 14 Factor -2*h**3 + 2508*h**2 - 1048344*h + 146069264. -2*(h - 418)**3 Factor 2*p**4/15 - 4*p**3 + 386*p**2/15 + 64*p + 512/15. 2*(p - 16)**2*(p + 1)**2/15 What is b in b**3 + 10*b**2 + 17*b + 8 = 0? -8, -1 Factor 3*s**3 - 264*s**2 - 540*s. 3*s*(s - 90)*(s + 2) Suppose 8*z**5/11 - 398*z**4/11 + 292*z**3/11 + 98*z**2/11 = 0. What is z? -1/4, 0, 1, 49 Factor 144*y**2 + 1300*y + 36. 4*(y + 9)*(36*y + 1) Suppose -2*i**2/5 + 272*i/5 + 274/5 = 0. What is i? -1, 137 Determine x, given that 3*x**5 - 21*x**4 - 54*x**3 - 6*x**2 + 51*x + 27 = 0. -1, 1, 9 Factor 2*y**4 + 24*y**3 + 100*y**2 + 168*y + 90. 2*(y + 1)*(y + 3)**2*(y + 5) Factor c**2/2 + 34*c - 69/2. (c - 1)*(c + 69)/2 Determine l, given that l**3/2 + 69*l**2/2 + 612*l + 578 = 0. -34, -1 Factor 2*i**2 + 2548*i + 811538. 2*(i + 637)**2 Factor -c**4/7 - 172*c**3/7 + 347*c**2/7 - 174*c/7. -c*(c - 1)**2*(c + 174)/7 Let -6*g**3/11 - 786*g**2/11 - 26130*g/11 - 25350/11 = 0. Calculate g. -65, -1 Factor -2*i**2/5 + 8*i + 120. -2*(i - 30)*(i + 10)/5 Factor i**3 + 40*i**2/3 + 77*i/3. i*(i + 11)*(3*i + 7)/3 Factor -r**5/3 + 2*r**4/3 - r**3/3. -r**3*(r - 1)**2/3 Factor 5*h**3 - 90*h**2 + 445*h - 660. 5*(h - 11)*(h - 4)*(h - 3) Find q, given that -2*q**5 + 46*q**4 - 366*q**3 + 1090*q**2 - 416*q - 1920 = 0. -1, 3, 5, 8 Factor 2*b**3/15 - 706*b**2/15 + 62656*b/15 - 61952/15. 2*(b - 176)**2*(b - 1)/15 Determine g so that -g**5 + 63*g**4/4 + 23*g**3 - 117*g**2/4 - 17*g/2 = 0. -2, -1/4, 0, 1, 17 Let -2*s**5 - 40*s**4 - 258*s**3 - 532*s**2 + 64*s + 768 = 0. What is s? -8, -3, -2, 1 Find u, given that -6*u**4 + 65*u**3 + 65*u**2 - 585*u - 99 = 0. -3, -1/6, 3, 11 Factor -c**4/3 - 11*c**3/3 - 16*c**2/3 + 28*c. -c*(c - 2)*(c + 6)*(c + 7)/3 Solve 2*w**2/5 + 2*w/5 - 84/5 = 0 for w. -7, 6 Factor 2*n**2/13 - 60*n/13. 2*n*(n - 30)/13 Factor 15*g**3/4 + 12*g**2 + 33*g/4. 3*g*(g + 1)*(5*g + 11)/4 Factor c**2 - 193*c. c*(c - 193) Find b, given that -5*b**2 + 955*b = 0. 0, 191 Factor 6*r**2 - 622*r + 96721/6. (6*r - 311)**2/6 Determine q so that -q**3/3 + 79*q**2/3 - 76*q/3 - 52 = 0. -1, 2, 78 Factor 2*a**2/11 - 30*a/11 - 32/11. 2*(a - 16)*(a + 1)/11 Let 3*l**2 + 3408*l + 3405 = 0. Calculate l. -1135, -1 Factor -3*t**3 + 15*t**2 + 168*t - 180. -3*(t - 10)*(t - 1)*(t + 6) Factor t**2/5 - 12*t/5 - 133/5. (t - 19)*(t + 7)/5 Determine q, given that -3*q**5/4 + 27*q**4/4 - 33*q**3/4 - 75*q**2/4 + 18*q + 21 = 0. -1, 2, 7 Solve g**5 - 13*g**4 + 7*g**3 + 237*g**2 + 216*g = 0. -3, -1, 0, 8, 9 Factor 5*s**3 - 220*s**2 + 425*s - 210. 5*(s - 42)*(s - 1)**2 Factor -t**5/4 + 9*t**4/2 - 81*t**3/4 + 27*t**2. -t**2*(t - 12)*(t - 3)**2/4 Determine x so that 4*x**5/3 + 676*x**4/3 + 888*x**3 + 3976*x**2/3 + 2644*x/3 + 220 = 0. -165, -1 Let 3*t**2/8 - 453*t/4 - 909/8 = 0. What is t? -1, 303 Find i such that i**4/3 + 8*i**3/3 + 23*i**2/3 + 28*i/3 + 4 = 0. -3, -2, -1 Factor f**3/4 + 1543*f**2/2 + 2380849*f/4. f*(f + 1543)**2/4 Factor f**4/4 + 487*f**3/4 - 613*f**2 + 983*f - 492. (f - 2)**2*(f - 1)*(f + 492)/4 Determine i so that -10*i**5 - 42*i**4 - 66*i**3 - 46*i**2 - 12*i = 0. -6/5, -1, 0 Factor 5*l**4 + 35*l**3 - 85*l**2 + 45*l. 5*l*(l - 1)**2*(l + 9) Determine d so that 2*d**2/23 + 6*d/23 + 4/23 = 0. -2, -1 Find g, given that 4*g**2 + 420*g = 0. -105, 0 What is x in -3*x**2 - 543*x - 5130 = 0? -171, -10 Factor -5*i**2 - 255*i - 720. -5*(i + 3)*(i + 48) Factor -2*u**3/3 - 268*u**2/3 - 518*u - 768. -2*(u + 3)**2*(u + 128)/3 Factor 20*z**2 + 9*z/2 - 5. (5*z - 2)*(8*z + 5)/2 Factor 2*y**5/7 + 44*y**4/7 + 120*y**3/7 + 116*y**2/7 + 38*y/7. 2*y*(y + 1)**3*(y + 19)/7 Suppose -6*b**2/11 + 378*b/11 + 2940/11 = 0. Calculate b. -7, 70 Factor 22050*a**2 - 140*a + 2/9. 2*(315*a - 1)**2/9 Solve -2*d**2/3 + 2*d/3 + 4/3 = 0 for d. -1, 2 Solve s**3/4 - 103*s**2/4 - 252*s = 0. -9, 0, 112 What is k in 5*k**3/2 - 1785*k**2/4 + 665*k - 885/4 = 0? 1/2, 1, 177 Factor -5*q**3 + 10*q**2 + 5*q - 10. -5*(q - 2)*(q - 1)*(q + 1) Factor 4*w**3/5 + 72*w**2/5 + 84*w + 160. 4*(w + 5)**2*(w + 8)/5 Factor d**2 - 171*d. d*(d - 171) Factor -2*u**4 - 8*u**3. -2*u**3*(u + 4) What is n in -3*n**2 - 36*n + 84 = 0? -14, 2 Factor -2*l**4/9 + 4*l**3/9 - 2*l**2/9. -2*l**2*(l - 1)**2/9 What is z in -z**5/3 - 7*z**4/3 + 13*z**3/3 + 43*z**2/3 + 8*z = 0? -8, -1, 0, 3 Suppose 4*o**2 + 2704*o - 2708 = 0. Calculate o. -677, 1 Suppose 2*c**3 - 84*c**2 - 90*c + 172 = 0. What is c? -2, 1, 43 Solve -l**2/8 + 251*l/8 + 585/2 = 0. -9, 260 Determine g so that 2*g**5 - 24*g**4 - 6*g**3 + 76*g**2 - 48*g = 0. -2, 0, 1, 12 Determine u so that 5*u**3 - 55*u**2 + 150*u = 0. 0, 5, 6 Suppose i**3/3 + 19*i**2/3 + 112*i/3 + 64 = 0. Calculate i. -8, -3 Solve -3*k**5 + 21*k**4 + 27*k**3 - 21*k**2 - 24*k = 0. -1, 0, 1, 8 Factor 15*b**5 - 230*b**4 + 75*b**3. 5*b**3*(b - 15)*(3*b - 1) Determine h so that -4*h**4/3 + 16*h**3/3 - 4*h**2/3 - 8*h = 0. -1, 0, 2, 3 Find t such that -14*t**3 - 564*t**2 + 414*t + 164 = 0. -41, -2/7, 1 Factor 3*k**2/7 - 15*k + 372/7. 3*(k - 31)*(k - 4)/7 Factor -2*n**3 + 40*n**2 + 918*n - 1980. -2*(n - 33)*(n - 2)*(n + 15) Let o**3 + 10*o**2 + 17*o - 28 = 0. What is o? -7, -4, 1 Find b such that -2*b**2/7 - 214*b/7 + 216/7 = 0. -108, 1 Factor 3*t**4/7 + 36*t**3/7 + 12*t**2/7 - 576*t/7 + 768/7. 3*(t - 2)**2*(t + 8)**2/7 Find u, given that -8*u**4/11 + 26*u**3/11 + 56*u**2/11 - 104*u/11 - 96/11 = 0. -2, -3/4, 2, 4 Factor 40*o**3 + 92*o**2 + 64*o + 12. 4*(o + 1)**2*(10*o + 3) Determine p, given that 2*p**3/21 + 488*p**2/21 - 1976*p/21 + 1984/21 = 0. -248, 2 Suppose 3*p**5 - 123*p**4 - 1158*p**3 - 1002*p**2 + 5955*p - 3675 = 0. Wha
{ "pile_set_name": "DM Mathematics" }
, -57303? -57377 What is next in -237, -201, -165, -129, -93? -57 What is next in 18546, 37013, 55480, 73947, 92414, 110881? 129348 What is next in -233419, -233411, -233401, -233389, -233375, -233359, -233341? -233321 What is next in -551, -203, 377, 1195, 2257? 3569 What comes next: 7749, 30957, 69623, 123741, 193305, 278309, 378747? 494613 What is the next term in 53480, 53479, 53478, 53477? 53476 What comes next: -3198, -2559, -1920, -1281, -642? -3 What comes next: -642, -1708, -3204, -5130, -7486? -10272 What is the next term in -604, -1990, -4280, -7474, -11572? -16574 What is the next term in -107, -109, -133, -191, -295, -457, -689, -1003? -1411 What comes next: 33438, 33450, 33474, 33516, 33582, 33678? 33810 What comes next: -131, -102, 1, 214, 573? 1114 What is the next term in -302803, -302804, -302805, -302806, -302807, -302808? -302809 What is the next term in -567, -1209, -1851, -2493, -3135? -3777 What comes next: 597, 1165, 1733, 2301, 2869? 3437 What is next in 2435, 9692, 21787, 38720, 60491? 87100 What is the next term in -173741, -347477, -521201, -694907, -868589, -1042241? -1215857 What is the next term in -3494, -7054, -10614? -14174 What is the next term in 659, 2503, 5583, 9899? 15451 What is next in -590, -4786, -16204, -38456, -75154, -129910, -206336? -308044 What is the next term in -573369, -573370, -573371, -573372, -573373, -573374? -573375 What comes next: 110, 204, 350, 542, 774, 1040, 1334? 1650 What is the next term in -61953, -123907, -185861, -247815? -309769 What comes next: 49412, 98828, 148244? 197660 What is the next term in 735, -2594, -8143, -15912, -25901, -38110, -52539? -69188 What is next in 20, 186, 660, 1604, 3180, 5550, 8876, 13320? 19044 What comes next: -1002, -2026, -3050? -4074 What comes next: -89, -190, -113, 232, 935, 2086, 3775? 6092 What is next in 402, 1661, 3764, 6711, 10502, 15137, 20616? 26939 What is the next term in 230, 980, 2230, 3980, 6230? 8980 What comes next: 512446, 1024883, 1537318, 2049751, 2562182, 3074611? 3587038 What is the next term in 6105, 12200, 18289, 24372? 30449 What comes next: -10870, -21726, -32582, -43438, -54294, -65150? -76006 What comes next: -5499, -5418, -5337, -5256, -5175, -5094? -5013 What is next in -655, 102, 859, 1616, 2373, 3130? 3887 What is the next term in 381495, 381494, 381493, 381492, 381491, 381490? 381489 What is the next term in 723324, 1446645, 2169966? 2893287 What comes next: -6554, -6557, -6564, -6575, -6590, -6609, -6632? -6659 What is the next term in -110521, -221031, -331545, -442063? -552585 What is the next term in 510, 973, 1426, 1869? 2302 What is the next term in 96258, 96247, 96236, 96225? 96214 What is the next term in -216865, -433721, -650575, -867427, -1084277, -1301125? -1517971 What comes next: -212090, -212094, -212098, -212102? -212106 What is next in -285, -1187, -2709, -4857, -7637, -11055, -15117, -19829? -25197 What is the next term in -2409, -3876, -5343? -6810 What is next in -14452, -28929, -43406, -57883, -72360, -86837? -101314 What comes next: -33, -60, -81, -96, -105? -108 What comes next: 89, 173, 257, 341, 425, 509? 593 What comes next: 1585, 2269, 2951, 3631, 4309, 4985? 5659 What comes next: -6, 43, 104, 183, 286? 419 What is the next term in 194, 814, 1868, 3374, 5350, 7814, 10784? 14278 What is next in -877943, -877945, -877947? -877949 What is the next term in -122440, -244880, -367320, -489760? -612200 What comes next: -20859, -20855, -20851, -20847, -20843, -20839? -20835 What is the next term in 181270, 181271, 181272, 181273, 181274? 181275 What is the next term in 105, -30, -167, -306, -447, -590, -735? -882 What is next in -2819, -3493, -4169, -4847, -5527, -6209, -6893? -7579 What comes next: 992, 762, 372, -184, -912, -1818? -2908 What is next in -6079, -6066, -6047, -6022, -5991? -5954 What is next in -86, 5, 152, 349, 590, 869, 1180? 1517 What is the next term in 1346, 1291, 1236? 1181 What is next in -988, -1903, -2808, -3697, -4564, -5403, -6208? -6973 What comes next: -1454, -1569, -1686, -1805, -1926, -2049, -2174? -2301 What comes next: 7205, 7215, 7239, 7283, 7353, 7455, 7595, 7779? 8013 What is next in -18013, -36026, -54035, -72040, -90041, -108038, -126031? -144020 What comes next: 166, 317, 394, 361, 182, -179? -758 What is next in -351, -1041, -2109, -3555, -5379, -7581, -10161? -13119 What is the next term in 1214, 1662, 2408, 3452, 4794, 6434? 8372 What is next in -97, -446, -1025, -1834, -2873, -4142? -5641 What is next in -261, -315, -393, -495? -621 What comes next: 248, 967, 2168, 3851, 6016, 8663? 11792 What is the next term in -123602, -247200, -370798, -494396, -617994, -741592? -865190 What is next in 34607, 69208, 103811, 138416? 173023 What comes next: -518, -4054, -13624, -32246, -62938, -108718? -172604 What comes next: 522, 2039, 4564, 8097, 12638? 18187 What is next in -15, -21, -37, -69, -123, -205? -321 What comes next: -44, -90, -156, -254, -396, -594? -860 What is the next term in -22, -422, -1530, -3700, -7286? -12642 What comes next: 101271, 101273, 101275, 101277? 101279 What is next in 180, 8, -238, -564, -976, -1480? -2082 What is next in 4063, 8116, 12159, 16192? 20215 What is the next term in -92, -224, -366, -518, -680, -852, -1034? -1226 What is next in -684, -1356, -2024, -2694, -3372, -4064, -4776, -5514? -6284 What comes next: 14038, 14047, 14054, 14059, 14062? 14063 What comes next: -75156, -75187, -75218, -75249, -75280, -75311? -75342 What comes next: 9687, 38744, 87179, 154998, 242207, 348812, 474819, 620234? 785063 What comes next: 2699, 2685, 2671? 2657 What is the next term in 58278, 116554, 174826, 233094, 291358? 349618 What is the next term in 7654, 15160, 22666, 30172, 37678? 45184 What is next in -8936, -17866, -26798, -35732, -44668, -53606, -62546? -71488 What comes next: -849, 1757, 4361, 6963? 9563 What comes next: -125, -115, -105, -95? -85 What is next in 4425, 17775, 40027, 71181, 111237, 160195? 218055 What is the next term in 143, 260, 379, 500, 623, 748, 875? 1004 What is the next term in 869, 1692, 2465, 3188, 3861, 4484, 5057? 5580 What is next in -1884, -1887, -1890, -1893, -1896, -1899? -1902 What comes next: -1140, -1167, -1210, -1269? -1344 What is next in -2141, -2107, -2069, -2027, -1981? -1931 What is the next term in -155, -349, -545, -743, -943, -1145, -1349? -1555 What is next in 353, 567, 643, 581? 381 What is next in 682, 1343, 1984, 2599, 3182, 3727, 4228, 4679? 5074 What is the next term in -297, -680, -1159, -1734, -2405, -3172? -4035 What comes next: -5982, -5968, -5934, -5874, -5782, -5652, -5478? -5254 What is the next term in -207, -929, -2133, -3819, -5987, -8637, -11769? -15383 What comes next: 41814, 41811, 41808, 41805, 41802, 41799? 41796 What is next in -57999, -57981, -57945, -57885, -57795? -57669 What is next in -15941, -31879, -47817, -63755, -79693, -95631? -111569 What is the next term in -3624, -15113, -34260, -61065? -95528 What comes next: -2719, -5472, -8225, -10978, -13731? -16484 What is the next term in -112584, -225172, -337760? -450348 What is next in 10413, 41738, 93959, 167082, 261113? 376058 What comes next: 108603, 217196, 325789? 434382 What comes next: 164, 275, 376, 461, 524, 559? 560 What comes next: -41851, -41833, -41813, -41791? -41767 What is next in -88359, -176748, -265135, -353520? -441903 What is the next term in -425, -426, -427? -428 What comes next: 115, 148, 123, 40, -101? -300 What is next in 2067, 8300, 18697, 33264, 52007, 74932, 102045, 133352? 168859 What is the next term in -29443, -29456, -29491, -29560, -29675? -29848 What is next in -407, 165, 737, 1309, 1881, 2453? 3025 What comes next: -7027, -14066, -21119, -28192, -35291, -42422, -49591, -56804? -64067 What comes next: -7371, -7267, -7163, -7059, -6955, -6851? -6747 What is the next term in 98447, 98445, 98443, 98441, 98439, 98437? 98435 What is next in 640, 1225, 1806, 2383? 2956 What is next in -189692, -189697, -189700, -189695, -189676, -189637, -189572, -189475? -189340 What comes next: 677, 99, -865, -2215, -3951, -6073? -8581 What comes next: 4172, 4189, 4206, 4223, 4240, 4257? 4274 What is the next term in -244, 371, 986, 1601, 2216, 2831? 3446 What comes next: -4691, -9093, -13495, -
{ "pile_set_name": "DM Mathematics" }
). What is v(a)? 8 Let u(x) = x. Let b(n) = -2 + 25*n**2 - 16*n**2 + n**3 + 4*n - 15*n**2. Let z(t) = -b(t) + 3*u(t). Give z(6). -4 Let h(u) be the third derivative of u**6/6 + u**5/30 + u**4/24 + 2*u**2 + 67*u. Give h(-1). -19 Let b(g) = -g**3 - 5*g**2 + 3*g + 6. Let t(n) = -15*n - 65. Let c be t(-21). Suppose -25 = -245*m + c*m. What is b(m)? -9 Let p(f) = f**2 + 2*f. Suppose -5*r - 21 = 2*h, 5*r - 4*h - 6 = 3*r. Give p(r). 3 Suppose -2*o + 0*o = -32. Suppose 3*w + o = -w. Let n(q) = -q - 3. What is n(w)? 1 Let k(l) = -l**3 + l**2 + l - 1. Let p(g) = g**3 + 8*g**2 - 7*g + 6. Let u be p(-9). Let o(j) = -j**3 - 13*j**2 - 12*j. Let h be o(u). Give k(h). -1 Let d(i) = i + 2*i - 108 + 215 - 106 - 7*i**2 - i. Suppose 0 = -4*a - h - 4, -3 = 4*a + 5*h + 1. Calculate d(a). -8 Let k be (5/25*-4)/((-2)/(-10)). Let t(y) be the second derivative of -y**3/6 + y**2 - 22*y. What is t(k)? 6 Let j(l) = l**3 + 9*l**2 + 9*l - 5. Let w be 80/(-280) + (-40)/7 - 2. What is j(w)? -13 Let m(k) = 5*k**3 + 8*k**2 + 2*k + 4. Let d(t) = 6*t**3 + 8*t**2 + t + 4. Let q(c) = 6*d(c) - 7*m(c). What is q(9)? 5 Let f(r) = r**2 + r - 8. Suppose -316*d = -327*d + 66. Calculate f(d). 34 Let w(t) = -2*t**3 - t**2. Let r = -318 - -317. What is w(r)? 1 Let c(o) = 2*o - 1. Let h(g) = -2*g - 2. Let q(l) = -c(l) - 3*h(l). Determine q(-5). -13 Let f(i) = 6*i + 54. Let u be f(-11). Let y(o) = o + 16. Let t be y(u). Let w(s) = 5*s**3 + 3*s**2 + 1 + 2*s - 2*s**3 - 4*s**3. Determine w(t). -7 Let p(u) = -3*u + 3*u - 7*u. Suppose 6*m - 3*m = -3. What is p(m)? 7 Let i(c) be the first derivative of -c**3/2 - c**2/2 + 3*c - 1. Let r(t) be the first derivative of i(t). Determine r(-1). 2 Suppose -2*t - 4*l = -0*t + 16, 3*t = -3*l - 12. Let d(r) be the second derivative of 2*r**2 + t - 1/6*r**3 + 6*r. Calculate d(-4). 8 Let q(x) = 2*x**2. Let l = 29 + -26. Suppose 2 = -2*d - 2*s, -l*s - s = 5*d. Suppose 2*o + 3*y + 1 + 7 = 0, 0 = d*o + 5*y + 14. What is q(o)? 2 Let w(p) = -p**3 - 3*p**2 - p - 1. Let y be (28/(-45) - 46/(-207))*5. Calculate w(y). -3 Let p(u) = -u**2 - 5*u - 3. Let h(v) = -3*v**2 + v. Suppose -5*o + 2*o = 3. Let f be o*((1 - 1) + 1). Let z be h(f). Give p(z). 1 Let x(j) be the third derivative of j**6/40 - j**5/20 + j**4/24 - j**3/6 + 6*j**2. Suppose -4*c = 13*c - 34. Calculate x(c). 13 Suppose -3*r = 15, 3*n + 0*r = -5*r - 58. Let p(u) = u**3 + 11*u**2 + u + 10. Determine p(n). -1 Let h(a) = -a**3 - 7*a**2 + 5*a - 10. Let j = -499 + 491. Give h(j). 14 Let t(q) be the third derivative of 0*q**4 + 0*q + 0 - 6*q**2 + 0*q**3 + 1/10*q**5. Determine t(-1). 6 Suppose -3*g + 8*g = -25. Let f(a) = -2*a - 9. Determine f(g). 1 Let z(x) be the first derivative of -23 + 5/2*x**2 + 4*x + 1/3*x**3. Let c(k) = k - 2. Let r be c(-3). Calculate z(r). 4 Let m(r) = 2*r - 7. Let f(d) = -d + 3. Let w(q) = 7*f(q) + 4*m(q). Let p be w(5). Let y(u) = 2 + 3319*u**2 - 2 + 3*u - 3315*u**2. What is y(p)? 10 Let o(b) = -b**3 + 16*b**2 + 19*b - 23. Let u be o(17). Suppose -u = -7*k + 10. Let r(f) = -3*f + 7. Let q be r(k). Let v(d) = -d**2 - 3*d - 3. Calculate v(q). -1 Suppose -2*g + 0 = -h - 1, 0 = -2*h - 4*g + 6. Let r(a) = -6*a. Give r(h). -6 Let j(a) = -19*a - 4. Let m(u) = -9*u + 50 + 44 - 96. Let l(y) = 4*j(y) - 9*m(y). Calculate l(2). 12 Let s(q) = 4*q**2 + 7*q - 13. Let w(y) = -5*y**2 - 9*y + 15. Let b(z) = 7*s(z) + 6*w(z). Give b(-4). -13 Let p(r) be the second derivative of r**4/12 + r**3/6 + 3*r**2 - 14*r. Let q(v) be the first derivative of p(v). Calculate q(-5). -9 Let h = 64 - 63. Let g(z) = 9*z - 8*z + h - 2 - 2. Calculate g(5). 2 Let c(w) be the first derivative of -w**4/4 - 4*w**3/3 + w**2/2 - 12*w - 374. Determine c(-5). 8 Suppose -8*y + 19 = -13. Let w(z) = 3 + 2*z + 4*z - y*z + 3. Determine w(-7). -8 Let o(m) = -m**2 + m + 1. Let d = 30 - -7. Let c = 41 - d. Calculate o(c). -11 Let u(k) be the second derivative of 4/3*k**3 + 27*k - 1/20*k**5 + 0 - 4*k**2 + 1/2*k**4. Calculate u(7). -1 Let q(j) = 8*j**2 + 3*j + 8. Let o(l) = -39*l**2 - 15*l - 39. Let c be (-6)/24 + 190/(-8). Let v(b) = c*q(b) - 5*o(b). Calculate v(-2). 9 Let d(g) = 2*g - 5. Let s = -25 + 30. Calculate d(s). 5 Let l(c) be the first derivative of 3*c**2 - 4*c - 11. Give l(2). 8 Let a = 9 - 10. Let w be (3/((-6)/(-8)))/a. Let z(s) be the third derivative of -s**4/8 - 2*s**3/3 + s**2. Calculate z(w). 8 Let c(u) = -3*u. Let w(h) = -7*h. Let s(p) = 5*c(p) - 3*w(p). Let y(j) = j**2 + 6*j + 10. Let q be y(5). Let t = 63 - q. Calculate s(t). -12 Let c(q) be the first derivative of q**7/840 - q**6/72 + q**5/24 + q**4/12 + 20*q**3/3 - 15. Let u(i) be the third derivative of c(i). Determine u(4). 6 Let m(z) = -z**3 + 3*z**2 + 1. Let o be (-1)/(-3*3/(-189)). Let y = -18 - o. Give m(y). 1 Let r be 7 - (-2 - ((-12)/3 + -1)). Let v(p) = -4*p. What is v(r)? -16 Let h(d) = d**2 - 7*d + 7. Let i = 54 - 7. Let s = i + -42. Determine h(s). -3 Let v(m) = m**3 + 4*m**2 + 5*m + 4. Let x be 6/(-3*(-9)/(-18)). Give v(x). -16 Let q(f) = f**2 - 3*f - 4. Let p(r) = r**2 - 2*r - 3. Let o(n) = 3*p(n) - 2*q(n). Let s(i) = i - 3. Let x be s(5). Calculate o(x). 3 Let a(v) = -v**2 - 11*v - 9. Suppose 4*k + 14 = 2*k. Let q(f) = f**2 + 11*f + 19. Let z be q(k). What is a(z)? 9 Let b(s) = -s**3 - 5*s**2 + 5*s + 1. Suppose -3*r - 2*r + 10 = 0. Let o be r/(8/(-3))*8. Let a be b(o). Let q(w) = w**2 - 8*w + 4. Give q(a). -3 Let p(m) = -m**2 + 2*m - 1. Let k be (-4)/12*-6 - (0 - -2). Suppose -3*x - t + 0*t + 6 = k, 9 = -3*x + 4*t. Give p(x). 0 Let q(i) = -i. Let v(z) be the third derivative of -3*z**4/4 + z**3/2 - 37*z**2. Let t(w) = -15*q(w) + v(w). Calculate t(2). -3 Let y(s) = -s + 1. Suppose 8*k - 3*k + 170 = 0. Let c = 39 + k. Determine y(c). -4 Suppose 9 = 3*a + 3*m, 5*a + 4 = 4*m + 19. Let y(q) = -4*q - 14*q**2 + 7 + 13*q**2 - a. What is y(-6)? -8 Let b be 6 + 12/(-6)*1. Let q(v) be the third derivative of 1/30*v**5 + 0*v + v**2 + 1/12*v**b - 1/2*v**3 + 0. Give q(-3). 9 Let d(q) be the third derivative of -q**5/30 - 356*q**2. Determine d(-2). -8 Let d(c) = -16*c**2 + 4*c + 18. Let j(o) = -13*o**2 + 3*o + 16. Let n(q) = 4*d(q) - 5*j(q). Give n(0). -8 Let g = 1535 - 1528. Let x(j) = -j**2 + 15*j + 7. Calculate x(g). 63 Let f(q) = -q**2 + q + 3. Let h(s) = -s**3 + 7*s**2 + 18*s + 4. Let b be h(9). Determine f(b). -9 Suppose 183 = 19*z + 50. Let t(j) = j**3 - 9*j**2 + 10*j - 1. What is t(z)? -29 Suppose -6*a = -3*f - 3*a - 9, 4*a - 24 = -2*f. Let x(s) be the first derivative of -4*s + 6 + s**2 - 4*s**f + 7*s - 2. What is x(2)? -9 Let y be 2 + -1*(-6 - -10). Let g(f) = -5*f**3 + 3*f**2 + f + 1. Let o(z) = 4*z**3 - 2*z**2 - z - 1. Let w(c) = -3*g(c) - 4*o(c). Give w(y). 3 Let t(w) = -48*w - 14. Let g(s) = 5*s + 1. Let i(d) = 20*g(d) + 2*t(d). What is i(7)? 20 Let l(p) be the second derivative of -p**4/12 - p**3 - p**2/2 + 998*p. Let i be (-26)/4 - 1/(-2). What is l(i)? -1 Let j(u) = -11*u + 35. Let f(m) = 15*m - 52. Let q(r) = -5*f(r) - 7*j(r). Calculate q(-6). 3 Let b = 774 - 769. Let t(u) = -4. Let d(h) = h. Let l(r) = 3*d(r) + t(r). Determine l(b). 11 Let g = -14 - -12. Let y = 3 - g. Suppose -y*f - 14 = 1. Let s(l) = l**2 - 2*l - 2. Determine s(f). 13 Let t(b) = b**2 - 2*b**2 - 4*b + 2*b. Suppose -4*f - 5*r + 7*r = -2, -5*f - 4*r - 30 = 0. Give t(f). 0 Let x be ((-36)/4)/((3 - 0) + -4). Suppose -2*l + 3*v = -2*v + 37, 4*l + 3*v + x = 0. Let d(u) = -u**2 - 4*u - 2. What is d(l)? -14 Let l(b) be the second derivative of -1/20*b**5 + 8*b + 0 + 0*b**3 + 0*b**2 + 1/12*b**4. Give l(2). -4 Let v be -1*(4 + 15)*7/7. Let z(r) = -r**2 - 21*r - 21. What is z(v)? 17 Let l(b) be the second derivative of 3*b**2 + 0 + 2*b - 1/3*b**3. What is l(6)? -6 Let w(g) = -g**3 - 10*g**2 - 3. Let n be w(-10). Suppose 0*r - 3*r = -9. Let v(o) = 0*o**3 - r*o**2 + 3*o + 6 - o**3 - 5. Give v(n). -8 Let h = -9 + 9. Suppose -4*j - 4*a + 1 - 5 = h, 2*j + 5 = -3*a. Let g(w) = -j + w - 9 + 3. What is g(5)? -3 Suppose -16 = -5*f - 1. Let p(v) = -7*v**3 - 8*v**3 + 16*v**3 - 1610*v**2 + 1609*v**2 - 2*v. What is p(f)? 12 Suppose -6*i = -11*i. Suppose 0 = -4*f + 3*d + 17, i*f + 5*f + 3*d - 28 = 0. Let t(h) = h**2 - 3*h - 7. What is t(f)? 3 Let q(b) be the second derivative of 3/2*b**2 - 1/20*b**5 - b**3 + 0 - 7/12*b**4 + 19*b. Calculate q(-6). 3 Let g(q) = -2*q**2 - q + 1. Let u = 288 + -287. What
{ "pile_set_name": "DM Mathematics" }
3 decimal places? -0.006 Let s = 827.99503 + -828. Let z = s + 2.00167. Let d = z + -2. Round d to 3 dps. -0.003 Let a = -94 + 110.3. Let d = 4.304 + 0.796. Let o = a - d. What is o rounded to zero dps? 11 Let t = -7109.010758 + 7109. Round t to 3 decimal places. -0.011 Let w = -3414 + 2906. Round w to the nearest 100. -500 Let a = 4808.00004036 - 4808. What is a rounded to 5 dps? 0.00004 Let q = -48.299998322 + 48.3. Round q to 7 decimal places. 0.0000017 Suppose -4*n - 4*n + 72 = 0. Let p be 0 - -351 - (13 - n). Suppose 5*q = -3*l - p, -5*q - 3*l - 2*l - 345 = 0. What is q rounded to the nearest 10? -70 Let c(i) = -1698*i**3 - 7*i + 11. Let d be c(-6). Let k be d/26*(1 - 1895). Let z = 9421499 + k. Round z to the nearest one million. -17000000 Let n = -3498 - -3497.98677. Round n to 3 dps. -0.013 Let t = -0.07574 + 0.14822. Round t to two decimal places. 0.07 Let n = -10244.719 + 10244.13899665. Let v = n - -0.58. What is v rounded to six dps? -0.000003 Let s = -0.01898 - -0.018959822. What is s rounded to six decimal places? -0.00002 Let y = 324.161 - 0.261. Let j = y - 358. Round j to the nearest integer. -34 Let r = 505.19841151304 + 0.05158828696. Let y = r - 592.249984. Let j = y - -87. What is j rounded to 6 dps? 0.000016 Let y = -57 - -229. Let h = y - 168.33. Let w = h - -11.43. Round w to zero decimal places. 15 Let f(a) = a**2 - 47*a - 69. Let c be f(49). Suppose -38*r = -c*r + 15291. What is r rounded to the nearest one hundred? -1700 Let t = 1009.1334509 - 312.1329563. Let i = t - 697. What is i rounded to 5 decimal places? 0.00049 Let z = 1638.565486 - 1.907486. Let n = -1631 + z. What is n rounded to the nearest integer? 6 Suppose 0 = -33*f - 19*f + 260. Suppose 0 = -f*d + 15, -2*a - a - 261 = -d. What is a rounded to the nearest 10? -90 Let t be (-120)/(-45) - (-2)/(-3). Suppose -2*u = -t*v - 40, -3*u + 20 + 32 = 5*v. Suppose 0*i = -i - u. What is i rounded to the nearest integer? -19 Let l = 0.721 - 609.721. Let g = l + 518.3. What is g rounded to the nearest integer? -91 Let s = -14451.00017958 + 14451. What is s rounded to 5 dps? -0.00018 Let b = 276844 - 456004. Round b to the nearest 10000. -180000 Let o = -343577341 + 661484506. Suppose 271292835 = -12*k - o. What is k rounded to the nearest 1000000? -49000000 Let m = -42 - -70. Suppose -m*f = -25*f - 9. Suppose -f*x + 5880316 = 316. Round x to the nearest one hundred thousand. 2000000 Let f = -0.2 + 52.2. Let c = f - 56.1. Let v = c + 4.100121. What is v rounded to five decimal places? 0.00012 Let i be (-88)/(-3)*(-7)/(672/(-881640)). Round i to the nearest 1000. 269000 Let q = -11092 + 8556. What is q rounded to the nearest one thousand? -3000 Suppose -j = 53 - 3. Let w = -46 - j. Suppose 544000 = 4*a + w*a. What is a rounded to the nearest ten thousand? 70000 Let f = 6120.9993305 + -6121. Round f to 4 decimal places. -0.0007 Let k = 4246.941 + -4244. What is k rounded to two decimal places? 2.94 Let y = 2313.999997769 - 2314. What is y rounded to seven decimal places? -0.0000022 Let s = -1759.7 + 1270.5. What is s rounded to the nearest 1000? 0 Let n = -1169579992 + 1169523948.7297. Let j = n - -56165.2703188. Let c = -122 + j. Round c to six dps. 0.000019 Suppose -3*b + 2 = -4. Let u be (0 + (b - 0))*2855/(-10). Round u to the nearest one hundred. -600 Let p = 0.055208623 + -0.055185. Round p to 7 dps. 0.0000236 Let b = -48.190711 - -349570.660711. Let x = b + -349546.169889. Let d = -23.7 - x. What is d rounded to five decimal places? -0.00011 Let q = -1559 + 1500.27. What is q rounded to the nearest ten? -60 Let m = 55 - -157. Let t = m - 218.25. What is t rounded to 1 dp? -6.3 Let l = 42857120 - 21509120. What is l rounded to the nearest 1000000? 21000000 Let h = -178.75 - 31080.25. Let o = 31264.4092 + h. Let j = -5.4 + o. What is j rounded to three dps? 0.009 Let w = 303425 - 511095. What is w rounded to the nearest ten thousand? -210000 Let v = 7109 - 2804. What is v rounded to the nearest 1000? 4000 Let n = 2142.3 + -1923.233. Let r = n + -219. What is r rounded to two decimal places? 0.07 Let t = 521870 + -525027.21. What is t rounded to the nearest 10? -3160 Let d = 25883883.4 + -25883871.59999949. Let h = -139 + 150.8. Let x = d - h. What is x rounded to seven decimal places? 0.0000005 Let q = 439 - 437. Let s be ((-25600)/(-96))/(q/(-1995)). What is s rounded to the nearest 10000? -270000 Let w = -37906 - -37906.00034886. Round w to five decimal places. 0.00035 Suppose 5*t - 3*s = -4*s - 35, -s + 21 = -3*t. Let x be (-8 + t)/(-5) + 144/2. Round x to the nearest ten. 80 Suppose 0 = -4*t + 55*w - 50*w + 21267985, 0 = 4*t + 5*w - 21268015. Round t to the nearest one hundred thousand. 5300000 Let z = 25.99 - -1161.01. Let s = z - 1186.7999. What is s rounded to two dps? 0.2 Let p = -85 - -151. Let s = p - 66.083. Let c = s + 0.08300051. Round c to seven dps. 0.0000005 Suppose -38*f + 420 = 4*f. Suppose f*r + 8*r = 61380. What is r rounded to the nearest 1000? 3000 Let f = -5689569 + 9045569. Round f to the nearest one hundred thousand. 3400000 Let r = -167 + 387. Let n = r + -100. Let w = n - 119.999988. What is w rounded to five decimal places? 0.00001 Let m(c) = c**2 + 2*c - 2. Let s be m(1). Let r be s*(-3 + 0 + 5). Suppose 0 = g - 16*p + 13*p + 1960006, r = p. What is g rounded to the nearest 100000? -2000000 Let z = 852.144 + -30.284. Round z to the nearest one hundred. 800 Let o = -0.102 - -14.702. Let t = 2829860.40119 - 2829875. Let z = o + t. Round z to four decimal places. 0.0012 Let q = 13712266 - 9698769. Let i = q - 5753497. What is i rounded to the nearest one hundred thousand? -1700000 Let i = -37140068 + 37140069.26001032. Let y = i - 1.26. Round y to 6 decimal places. 0.00001 Let b = 873.8 + -327.8. Let t = -3936.4 - -3339. Let j = t + b. Round j to the nearest ten. -50 Let i = -9420.9925913 - -9421. Round i to 4 decimal places. 0.0074 Let l(b) = 24148*b + 638. Let r be l(4). What is r rounded to the nearest one thousand? 97000 Let i = -154.8 - -140. Let l = -77.8 - i. Let z = l + 62.99856. Round z to four decimal places. -0.0014 Let p = 560 + -596. Let w = p - -36.0002476. Round w to five decimal places. 0.00025 Let u = -48.1596 + 77.9549. Let q = u + -29.8. Round q to 4 dps. -0.0047 Let o = 4 - 2. Let q = 4739 - 2993. Suppose -q = 5*w + 4*a, 5*w - o*a - 2*a + 1754 = 0. What is w rounded to the nearest 100? -400 Suppose 2*c + 5*m = -11210, m = -5*c - 0*m - 27979. Let v = 3865 + c. Round v to the nearest one thousand. -2000 Suppose -178432650 = 2811*a - 2666*a. Round a to the nearest 10000. -1230000 Let b = 1459.4 - -478.6. Let j = b + -1938.00007315. Round j to 5 decimal places. -0.00007 Let o = 0.281962 + 613.662438. Let m = o - 614. What is m rounded to three dps? -0.056 Let l = -227387030.600000278 - -227387028.1. Let r = 0.1 - -2.4. Let g = l + r. Round g to seven dps. -0.0000003 Let a = -165523.5087 + 165534. Let b = -0.1213 + a. Let x = 10.9 - b. Round x to one dp. 0.5 Let f = -151313 - -151312.99791399. Round f to 4 decimal places. -0.0021 Let z = -1073719 - -2352296. Let o = 808577 - z. What is o rounded to the nearest one million? 0 Let a = -3216 + 3216.0121424. Round a to 3 dps. 0.012 Let s(o) = 8*o + 88. Let w be s(-11). Suppose w = -4*p + 3*p - 5*z + 60020, -4 = -z. Round p to the nearest 100000. 100000 Let d = 4.65 - 522.65. Let i = -518.000306 - d. What is i rounded to 4 dps? -0.0003 Let j = 3549063.600031 + -3549061. Let t = j - 2.6. Round t to 6 dps. 0.000031 Let y = 269.04 + -57.4. Let a = y - 2.64. Let m = 207.99 - a. What is m rounded to one decimal place? -1 Let l be ((-24)/20*-5)/(2/57767). Suppose a - 2704453 = l. Suppose -4*p = a + 7922246. Round p to the nearest 1000000. -3000000 Let l(w) = -114*w + 3. Suppose 4*r = 8*r + 2*p + 56, 3*r - 5*p = -55. Let y be l(r). Let i be (80/12)/((-2)/y). Round i to the nearest one thousand. -6000 Let g = -0.345 + 0.303. Let k = g + 2.582. Round k to zero decimal places. 3 Let t = -1201 - -855. Let b = 307.2 + t. Let r = 38.80000161 + b. What is r rounded to 7 dps? 0.0000016 Let w = -12480 + 12480.00002335. What is w rounded to 5 dps? 0.00002 Let j = -20379 + 20379.0003492. Round j to 4 decimal places. 0.0003 Let d = 0.0176 - -1.4924. Let k = d + -1.50999756. What is k rounded t
{ "pile_set_name": "DM Mathematics" }
factors of 3383282? 2, 7, 241663 List the prime factors of 4954666. 2, 2477333 What are the prime factors of 2880022? 2, 1440011 What are the prime factors of 2444502? 2, 3, 19, 41, 523 List the prime factors of 9979294. 2, 13, 19, 20201 What are the prime factors of 6764259? 3, 223, 10111 What are the prime factors of 343346? 2, 171673 What are the prime factors of 20081664? 2, 3, 2179 List the prime factors of 2478741. 3, 37, 137, 163 What are the prime factors of 5702361? 3, 7, 17, 15973 List the prime factors of 13252388. 2, 431, 7687 What are the prime factors of 1160842? 2, 67, 8663 List the prime factors of 45519. 3, 15173 What are the prime factors of 5435581? 283, 19207 List the prime factors of 2153978. 2, 89, 12101 List the prime factors of 24967940. 2, 5, 967, 1291 What are the prime factors of 217271? 217271 What are the prime factors of 260897? 7, 13, 47, 61 List the prime factors of 34789195. 5, 7, 993977 What are the prime factors of 1877508? 2, 3, 52153 List the prime factors of 4795110. 2, 3, 5, 53279 List the prime factors of 2089015. 5, 29, 14407 What are the prime factors of 850624? 2, 13291 List the prime factors of 1632662. 2, 37, 22063 List the prime factors of 733315. 5, 11, 67, 199 What are the prime factors of 12487826? 2, 13, 17, 19, 1487 What are the prime factors of 1517998? 2, 17, 44647 What are the prime factors of 5509141? 11, 500831 List the prime factors of 3529408. 2, 55147 What are the prime factors of 167344? 2, 10459 What are the prime factors of 13187978? 2, 41, 160829 What are the prime factors of 13587696? 2, 3, 71, 443 What are the prime factors of 703402? 2, 7, 47, 1069 What are the prime factors of 17179046? 2, 8589523 What are the prime factors of 26331676? 2, 7, 41, 22937 List the prime factors of 2588805. 3, 5, 57529 What are the prime factors of 11101391? 7, 17, 13327 What are the prime factors of 7124113? 331, 21523 What are the prime factors of 410305? 5, 7, 19, 617 What are the prime factors of 1738660? 2, 5, 7, 11, 1129 What are the prime factors of 4228912? 2, 113, 2339 List the prime factors of 124430. 2, 5, 23, 541 What are the prime factors of 219802? 2, 11, 97, 103 List the prime factors of 246633. 3, 229, 359 What are the prime factors of 3703366? 2, 19, 41, 2377 List the prime factors of 11149434. 2, 3, 23, 47, 191 List the prime factors of 509747. 7, 101, 103 What are the prime factors of 4706967? 3, 73, 21493 List the prime factors of 3098043. 3, 13, 26479 List the prime factors of 477365. 5, 7, 23, 593 List the prime factors of 1228114. 2, 17, 41, 881 What are the prime factors of 242918? 2, 13, 9343 What are the prime factors of 12099631? 17, 733, 971 What are the prime factors of 1021606? 2, 510803 List the prime factors of 4813806. 2, 3, 193, 4157 What are the prime factors of 808571? 17, 47563 What are the prime factors of 243963? 3, 27107 What are the prime factors of 25178652? 2, 3, 23, 47, 647 What are the prime factors of 8654? 2, 4327 List the prime factors of 2385255. 3, 5, 159017 What are the prime factors of 4066489? 7, 580927 List the prime factors of 786980. 2, 5, 19, 109 What are the prime factors of 97938? 2, 3, 5441 What are the prime factors of 22702? 2, 11351 What are the prime factors of 587021? 587021 What are the prime factors of 362002? 2, 181001 List the prime factors of 34112873. 71, 480463 List the prime factors of 2638168. 2, 13, 25367 List the prime factors of 1490947. 263, 5669 List the prime factors of 538858. 2, 269429 What are the prime factors of 8279090? 2, 5, 523, 1583 List the prime factors of 266347. 83, 3209 List the prime factors of 144860. 2, 5, 7243 List the prime factors of 192168. 2, 3, 17, 157 List the prime factors of 954664. 2, 47, 2539 What are the prime factors of 69066? 2, 3, 1279 List the prime factors of 369029. 369029 List the prime factors of 1441357. 199, 7243 What are the prime factors of 9928513? 7, 263, 5393 List the prime factors of 843000. 2, 3, 5, 281 What are the prime factors of 22675? 5, 907 What are the prime factors of 3016681? 1621, 1861 List the prime factors of 160967. 160967 List the prime factors of 714838. 2, 113, 3163 What are the prime factors of 382016? 2, 47, 127 List the prime factors of 26028830. 2, 5, 53, 67, 733 List the prime factors of 537054. 2, 3, 7, 19, 673 What are the prime factors of 24388737? 3, 67, 1811 List the prime factors of 177371. 83, 2137 List the prime factors of 37439683. 41, 47, 19429 List the prime factors of 217109. 199, 1091 What are the prime factors of 226103? 226103 What are the prime factors of 685640? 2, 5, 61, 281 What are the prime factors of 254390? 2, 5, 25439 What are the prime factors of 110137? 241, 457 What are the prime factors of 289987? 289987 List the prime factors of 1293664. 2, 40427 What are the prime factors of 2387759? 11, 217069 What are the prime factors of 33397? 7, 13, 367 List the prime factors of 2749477. 89, 30893 List the prime factors of 22565682. 2, 3, 417883 What are the prime factors of 141709? 141709 List the prime factors of 7378858. 2, 101, 36529 List the prime factors of 97859. 97859 What are the prime factors of 301857? 3, 239, 421 List the prime factors of 5725730. 2, 5, 572573 List the prime factors of 155092. 2, 7, 29, 191 What are the prime factors of 4874567? 4874567 What are the prime factors of 603726? 2, 3, 100621 List the prime factors of 10208113. 23, 839 What are the prime factors of 1917852? 2, 3, 71, 2251 List the prime factors of 1921090. 2, 5, 19, 10111 What are the prime factors of 96321? 3, 97, 331 List the prime factors of 30167856. 2, 3, 69833 List the prime factors of 1268178. 2, 3, 97, 2179 What are the prime factors of 6443707? 397, 16231 What are the prime factors of 2229906? 2, 3, 7, 53093 List the prime factors of 2766608. 2, 13, 47, 283 List the prime factors of 160849. 13, 12373 List the prime factors of 269864. 2, 7, 61, 79 What are the prime factors of 1308601? 7, 71, 2633 List the prime factors of 7133. 7, 1019 List the prime factors of 35771. 35771 What are the prime factors of 283264? 2, 2213 List the prime factors of 16523239. 16523239 What are the prime factors of 23229571? 19, 31, 39439 List the prime factors of 7731218. 2, 11, 47, 7477 What are the prime factors of 285833? 193, 1481 List the prime factors of 305671. 61, 5011 What are the prime factors of 6536322? 2, 3, 13, 9311 What are the prime factors of 804376? 2, 100547 List the prime factors of 814566. 2, 3, 349, 389 What are the prime factors of 550066? 2, 11, 2273 List the prime factors of 114468. 2, 3, 9539 List the prime factors of 5248980. 2, 3, 5, 11, 241 List the prime factors of 14637872. 2, 914867 List the prime factors of 10932531. 3, 1823, 1999 What are the prime factors of 38353? 7, 5479 List the prime factors of 2014660. 2, 5, 100733 List the prime factors of 1154218. 2, 13, 103, 431 List the prime factors of 85334. 2, 42667 List the prime factors of 499387. 7, 71341 List the prime factors of 2150613. 3, 83, 2879 List the prime factors of 86081. 59, 1459 What are the prime factors of 12951260? 2, 5, 7, 79, 1171 What are the prime factors of 96292? 2, 7, 19, 181 List the prime factors of 162409. 13, 31 What are the prime factors of 316643? 41, 7723 What are the prime factors of 152516? 2, 7, 13, 419 List the prime factors of 103259. 13, 47 What are the prime factors of 3497077? 89, 39293 What are the prime factors of 2154020? 2, 5, 11, 9791 What are the prime factors of 1540024? 2, 163, 1181 List the prime factors of 3373571. 23, 146677 What are the prime factors of 3762538? 2, 13, 47, 3079 List the prime factors of 11778349. 11, 53, 89, 227 What are the prime factors of 83585? 5, 73, 229 What are the prime factors of 1230372? 2, 3, 11, 13, 239 What are the prime factors of 45070? 2, 5, 4507 List the prime factors of 753883. 13, 57991 List the prime factors of 459946. 2, 151, 1523 What are the prime factors of 221313? 3, 73771 What are the prime factors of 1548163? 79, 19597 What are the prime factors of 10913007? 3, 7, 519667 List the prime factors of 723107. 7, 11, 9391 What are the prime factors of 4110971? 71, 57901 What are the prime factors of 914393? 251, 3643 What are the prime factors of 4095554? 2, 29, 241, 293 List the prime
{ "pile_set_name": "DM Mathematics" }
2 + 486157679*d**2 + 27*d**3. 26*d**3 Collect the terms in 12847 - 12847 + 107687*g. 107687*g Collect the terms in 394 + 8*j**3 - 6*j**3 - 3*j**2 + 518 + 0*j**2 + 267. 2*j**3 - 3*j**2 + 1179 Collect the terms in -313*k - 161 - 618 + 779 + 180*k. -133*k Collect the terms in -39859398 - 4*j + 39859398 - 15*j. -19*j Collect the terms in -6*w + 2*w - 11*w - 3*w**2 - 17690 - 7*w + 20*w. -3*w**2 - 2*w - 17690 Collect the terms in -1773170 + 887710 - 2*v + 885460. -2*v Collect the terms in 8714*f + 23060*f + 527*f - 770*f. 31531*f Collect the terms in -13*t**2 - 22*t**2 - 8 + 6 + 33*t + 3 + 4*t**2 - 33*t. -31*t**2 + 1 Collect the terms in -1022*v + 1032*v + 4282*v + 2456*v. 6748*v Collect the terms in -1658*l + 5014*l - 1664*l - 1690*l + 300*l**3. 300*l**3 + 2*l Collect the terms in -397*z + 469*z**3 + 397*z - 403*z**3. 66*z**3 Collect the terms in 0*a + 4*a**2 - a**3 + 938 - 28684 + 0*a - 3*a**2. -a**3 + a**2 - 27746 Collect the terms in 64879*o**2 - 50099*o**2 + 60828*o**2. 75608*o**2 Collect the terms in -60 + 118 - 58 - 144674*u. -144674*u Collect the terms in -40 - 4460946*g**3 - 45 + 162 - 38 + 4460940*g**3 - 39. -6*g**3 Collect the terms in -11 - 12834876*b - 15 + 12834865*b. -11*b - 26 Collect the terms in 18*w + 163*w**2 + 431*w + 280*w - 586*w**2. -423*w**2 + 729*w Collect the terms in -247 - 2*y**2 + 1787*y - 1521*y - 263*y. -2*y**2 + 3*y - 247 Collect the terms in 50*m**2 - 67 + 34*m - 30*m**2 - 21*m**2 + 53 - m. -m**2 + 33*m - 14 Collect the terms in -8916*q - 1 + 11 - 10 - 4. -8916*q - 4 Collect the terms in -55600 + 55600 - 11319822*u + 11319822*u + 15*u**2. 15*u**2 Collect the terms in 3909*r - 4041*r + 2308 + 2121. -132*r + 4429 Collect the terms in 3371*w**2 - 1679*w**2 - 1689*w**2 - 207 + 207. 3*w**2 Collect the terms in 2*g**2 - 145 - 166*g**3 - 4*g + 3*g - 876. -166*g**3 + 2*g**2 - g - 1021 Collect the terms in -47960 + 23233 - 3*p + 24727 - p. -4*p Collect the terms in 340*v**3 + 155*v**3 + 256*v**3. 751*v**3 Collect the terms in -4449*w - 3497*w - 15375*w - 82*w. -23403*w Collect the terms in 611*h + 3095*h**3 - 1232*h + 621*h. 3095*h**3 Collect the terms in 84*z**3 + 53 - 44*z**3 - 49. 40*z**3 + 4 Collect the terms in 2037*g**3 + 52 - 40 - 2066*g**3. -29*g**3 + 12 Collect the terms in 6*z**2 + 156927015*z - 2*z**2 - 156927015*z. 4*z**2 Collect the terms in 4377952*o - 4377952*o + 24*o**2. 24*o**2 Collect the terms in 7545*k - 14736*k + 7165*k. -26*k Collect the terms in -4*k**3 - 21*k + 13973*k**2 - 27942*k**2 + 13969*k**2 - 2*k**3. -6*k**3 - 21*k Collect the terms in -2205*p + 2205*p + 551*p**2 + 1049*p**2 - 372*p**2. 1228*p**2 Collect the terms in 10*s**3 - 3479*s - 8*s**3 + 60*s**2 + 3475*s. 2*s**3 + 60*s**2 - 4*s Collect the terms in 75*p + 109*p + 95*p - 296*p + 41*p + 140*p. 164*p Collect the terms in 14512*f + 8118*f + 2281*f - 795*f. 24116*f Collect the terms in 1214*b + 1223*b - 3664*b - 7*b**2 + 1223*b. -7*b**2 - 4*b Collect the terms in 3711819433*w**3 - 2 - 3711819438*w**3 + 2. -5*w**3 Collect the terms in 7072*d - 3075*d + 6308*d + 2689*d. 12994*d Collect the terms in -601552 - p**2 - 2*p**2 + p**2 - 721426. -2*p**2 - 1322978 Collect the terms in 22304 + 181*w + 128*w - 44598 + 102*w + 22294. 411*w Collect the terms in j**3 - 62491*j + 20760*j + 20815*j + 20807*j. j**3 - 109*j Collect the terms in -3562956*l + 3562956*l + l**3. l**3 Collect the terms in 167445*d - 8198*d + 2*d**2 + 12596*d. 2*d**2 + 171843*d Collect the terms in 12*y**2 + 14*y**2 - 8525*y**3 - 26*y**2. -8525*y**3 Collect the terms in 42*s**2 + 9*s - 160*s**2 + 45 - 20*s - 43. -118*s**2 - 11*s + 2 Collect the terms in 10*x - 1738*x**2 - 2253*x**2 - 10*x + 6298*x**2 - 2308*x**2. -x**2 Collect the terms in 1 + 10491*j**2 + 10766*j**2 - 21368*j**2 - 1. -111*j**2 Collect the terms in 1236422210*m**2 - 2*m - 1236422210*m**2 + 31*m**3 + 0*m. 31*m**3 - 2*m Collect the terms in 1129*c**3 + 2807*c - 8419*c + 2809*c + 2803*c. 1129*c**3 Collect the terms in 363*j + 299*j - 218*j + 226*j - 961*j**2. -961*j**2 + 670*j Collect the terms in 3*k + 3817 + 7355 - k - 1735. 2*k + 9437 Collect the terms in 22445*h - 7483*h - 7463*h - 7484*h + 0 + 18. 15*h + 18 Collect the terms in -563 - 659*o + 105 + 96 + 365. -659*o + 3 Collect the terms in 192*t**2 - 712575 - 176*t**2 + 712575. 16*t**2 Collect the terms in 1443130 - 1443130 + 998*u. 998*u Collect the terms in -2*g**2 - 692505 - 1547249 - 1217298 + 820321. -2*g**2 - 2636731 Collect the terms in 50 + 62 + 10*x - 21*x + 12*x. x + 112 Collect the terms in -435556*m**3 - 83096*m**3 + 113851*m**3. -404801*m**3 Collect the terms in 93319 - 93319 + 72642*l. 72642*l Collect the terms in 327609*t**3 - 327627*t**3 - 2*t**2 - t**2. -18*t**3 - 3*t**2 Collect the terms in 126192*r + 114213*r - 240404*r. r Collect the terms in 176018924*j + 176018923*j - 352037847*j + 35*j**2. 35*j**2 Collect the terms in 42979*f + 1270*f + 20036*f + 36690*f + 10897*f. 111872*f Collect the terms in 145 - q - 145 + 878*q**3 - 740*q**3. 138*q**3 - q Collect the terms in -144147 - 2*q**2 + 951*q - 432*q - 485*q + 144147. -2*q**2 + 34*q Collect the terms in 55*b + 55*b - 281*b + 63*b + 56*b - 3 + 66*b. 14*b - 3 Collect the terms in -34597*a**2 - 5833*a**2 - 23581*a**2. -64011*a**2 Collect the terms in 6080626*t**2 + 18921255*t**2 - 102368392*t**2. -77366511*t**2 Collect the terms in -18655 - 3*w**2 + 4*w**2 + 18655. w**2 Collect the terms in -11 + 190*b + 140*b - 19 + 30 + 238*b - 571*b. -3*b Collect the terms in -2522*u - 2514*u + 9695*u - 2519*u - 2130*u - 2. 10*u - 2 Collect the terms in -1 + 441*u + 60 + 83 - 442*u + 45. -u + 187 Collect the terms in -1454*j + 147*j + 238*j - 1416*j. -2485*j Collect the terms in -4*o**2 - 3*o**3 + 10771 + 10772 - 32330 + 10761 + 4*o**2. -3*o**3 - 26 Collect the terms in 396 + 22734*c + 220660*c - 60118*c - 396 + 5*c**2. 5*c**2 + 183276*c Collect the terms in -2772*q**2 - 3*q - 301*q**2 - 1067*q**2 - 723*q**2 - 613*q**2. -5476*q**2 - 3*q Collect the terms in -2111*k**3 + 25 - 25 + 474*k**3. -1637*k**3 Collect the terms in 54*m**2 + 64*m**2 - 13*m**2 - 16*m + 47*m**2. 152*m**2 - 16*m Collect the terms in 125*n + 143*n + 118*n + 116*n - 711*n + 97*n + 134*n. 22*n Collect the terms in -4137*a**2 + 8260*a**2 - 4123*a**2 + 2997 + 22*a**3 - 2997. 22*a**3 Collect the terms in 172*h + 35 - 4 + 181*h - 354*h. -h + 31 Collect the terms in 13*o**2 - 1283*o - 1185*o + 1231*o + 1237*o. 13*o**2 Collect the terms in -4379*y - 4444*y + 13306*y - 4479*y. 4*y Collect the terms in -298779*g**3 - 59*g + 27*g + 298780*g**3. g**3 - 32*g Collect the terms in -258*j - j - 34 - 90*j + 23. -349*j - 11 Collect the terms in -4344 - 4342 - 4347 - 4345 + 17378 - 288*u**2. -288*u**2 Collect the terms in -62180*k**3 + 20725*k**3 + 20733*k**3 + 20724*k**3 - 96*k**2. 2*k**3 - 96*k**2 Collect the terms in s - 2248313 + 6744926 - 2248315 - 2248313. s - 15 Collect the terms in -272*q**2 + 92*q**2 - 83457 + 92*q**2 + 83457 + 91*q**2. 3*q**2 Collect the terms in 134 - 276048*k**2 + 276148*k**2 + 9*k - 9*k - 134. 100*k**2 Collect the terms in 133 - 124 + 142 - 501 - 2*u. -2*u - 350 Collect the terms in 33152*w**2 - 20267*w**2 - 12887*w**2. -2*w**2 Collect the terms in -43*m**3 + 48*m**3 - 471*m**3 + 399*m**3. -67*m**3 Collect the terms in 2534*i - 1269*i + 8701*i**2 - 1265*i. 8701*i**2 Collect the terms in -193*g**2 + 21*g**3 + 36*g**2 - 43*g**3 + 156*g**2 + g**2 + 19*g**3. -3*g**3 Collect the terms in 535785446*g + 4*g**2 - 280 - 535785446*g. 4*g**2 - 280 Collect the terms in 308*a**3 - 10909*a**3 - 1609*a**3 - 7388*a**3. -19598*a**3 Collect the terms in 10*a - 1106*a**2 - 10*a + 2 - 14999*a**2. -16105*a**2 + 2 Collect the terms in -7 + 6 + 542*f**3 - 233*f**3 + 1 - 440*f**3. -131*f**3 Collect the terms in 6401*c + 6670*c - 14221*c. -1150*c Collect the terms in -494 + 130 + 8*p + 129 + 126 + 112. 8*p + 3 Collect the terms in -644*h + 14 - 221*h + 102*h. -763*h + 14 Collect the terms in 1698*p - 4050*p - 416*p - 2344*p. -5112*p Collect the terms in 35*j + 4025 + 4005 - 8030. 35*j Collect the terms in -7*d**2 - 7*d**2 + d**2 - 5*d**2 - 7*d + 4*d**2. -14*d**2 - 7*d Collect the terms in -296 - 302 + 598 - 3277*a + 1853*a. -1424*a Collect the terms in 510*m**3 - 1713*m + 93*m**3 + 1712*m - 152*m**3 - 9 + 2. 451*m**3 - m - 7 Collect the terms in 2756 +
{ "pile_set_name": "DM Mathematics" }
/3 - 4*t - 34. Find the third derivative of f(c) wrt c. 120*c**3 Suppose -3*s + 4*p = -4*s + 7, -4*s - 3*p + 15 = 0. What is the third derivative of -442*c - 22*c**s + 442*c - 5*c**2 wrt c? -132 Let k(r) = 12*r**2 + 3*r - 1. Let j be k(-2). What is the derivative of -j + 36*l + 18*l + 0*l wrt l? 54 Suppose -2*n + 6 = n. What is the second derivative of -1 - 8*j**3 + 1 + n*j**3 + 2*j wrt j? -36*j Let v be 5/3 - 5/(-15). What is the third derivative of -21*u**4 + 13*u**2 + 17*u**v + 11*u**2 - 9*u**4 wrt u? -720*u Let c(x) = 473*x**3 - 4*x**2 - 28*x - 3. Let z(t) = 3*t**3 - t**2 - 1. Let a(f) = -c(f) + 4*z(f). What is the second derivative of a(g) wrt g? -2766*g Suppose -3 = -4*k + 9. Let l(t) be the first derivative of -1/3*t**k - 4*t - 1 + 0*t**2. What is the first derivative of l(o) wrt o? -2*o Let y be 10*-1 + 5 + -3. Let f be 2/y + (-78)/(-24). What is the second derivative of q**f + 4*q**3 - q - q wrt q? 30*q Let g be (8/5)/(4/10). Suppose -n = -g*n + 6. Differentiate 3 - n*o - 5 + 2*o + 3*o**3 with respect to o. 9*o**2 Let u(i) be the first derivative of -34*i**6/3 - 2*i**3/3 + 12*i + 62. Find the third derivative of u(b) wrt b. -4080*b**2 Suppose -11*w - 30 = -16*w. Suppose -26 = -5*s - p, -2*s + 1 = -3*p - w. What is the second derivative of -f - 15*f**3 + s*f**3 + 12*f**3 + 9*f**3 wrt f? 66*f Let t(h) be the second derivative of -h**7/21 - 3*h**3/2 - 3*h**2/2 + 8*h. Let y(m) be the first derivative of t(m). What is the first derivative of y(a) wrt a? -40*a**3 Let d(j) = 4*j**2 + j + 6. Let s be d(-3). What is the first derivative of -s + 13*r**4 - 30*r**4 + 14 wrt r? -68*r**3 Suppose -5*v - 2*s - 24 = -483, -4*v = -2*s - 378. Differentiate -v - 4*z**3 - 9*z**3 + 103 with respect to z. -39*z**2 Let z = 4 - 3. Let t be z*(1 + (-3 - -5)). What is the derivative of 5*o**3 + 3*o**4 - 4 - 5*o**t wrt o? 12*o**3 Let y be ((-2)/(40/255))/(2/(-8)). What is the second derivative of 8*g**3 + 51 - y - 17*g wrt g? 48*g Let d(k) = k**2 + 9*k - 7. Let w be d(-8). Let y be w/(-2)*(-2)/(-3). What is the third derivative of y*u**6 - 4*u**2 - 4*u**5 + 4*u**5 + u**2 wrt u? 600*u**3 Let k(f) be the first derivative of -3*f**2 + 0*f**3 + 0*f - 9/4*f**4 - 2. Find the second derivative of k(p) wrt p. -54*p Find the first derivative of 1081 - 2*w**4 + 189*w**2 - 148*w**2 + w**4 - 3*w**4 wrt w. -16*w**3 + 82*w Let x(w) be the second derivative of -18*w**6/5 + 27*w**2/2 - 90*w. What is the first derivative of x(v) wrt v? -432*v**3 Let m(f) = -f**2 + 3*f - 1. Let g(r) = 177*r**2 + 4*r - 1. Let z(x) = -g(x) - 5*m(x). What is the second derivative of z(y) wrt y? -344 Let g be 74/14 - 27/((-1134)/(-12)). Let k(q) be the second derivative of -13/30*q**6 + 0*q**3 - 9/2*q**2 + 0 + 0*q**g + 0*q**4 + q. Differentiate k(p) wrt p. -52*p**3 Let a(f) be the third derivative of f**8/168 + 7*f**6/15 - 2*f**5/15 - 5*f**3/6 + 17*f**2 + 3. Find the third derivative of a(v) wrt v. 120*v**2 + 336 Let p(s) = s**3 + s**2 + s + 2. Let m be p(0). Let a(j) be the first derivative of -1 + 2*j**2 - j**m - j**2 + j**5 + 5*j. What is the derivative of a(i) wrt i? 20*i**3 Let k = 14 - 6. Suppose -5*g + k = -g. Find the second derivative of 2*n + 3*n - n**2 + 2*n**g wrt n. 2 Suppose 52 = 4*t - 0*t + 2*x, 0 = -2*t + 2*x + 14. What is the first derivative of t + 11*f - 6 - 15 wrt f? 11 Let u(h) be the second derivative of 41*h**6/30 - 43*h**2/2 + 68*h. What is the derivative of u(l) wrt l? 164*l**3 Let t(q) = 7*q + 3. Let g(i) = 4*i + 1. Let f(m) = 5*g(m) - 3*t(m). Let y be f(-8). Find the second derivative of -3*n**y + 5*n**4 + 0*n - 4*n wrt n. 24*n**2 Let f(r) be the second derivative of 2*r**7/21 - r**5/5 + 6*r**4 - 87*r. Find the third derivative of f(m) wrt m. 240*m**2 - 24 Let p(j) be the third derivative of 27*j**2 + 0*j**6 - 11/12*j**4 + 0*j + 0*j**3 + 0 + 0*j**5 + 19/210*j**7. Find the second derivative of p(y) wrt y. 228*y**2 Let p(y) be the first derivative of 2*y**3 + 0*y**2 + 0*y - 6/5*y**5 + 0*y**4 - 38. Find the third derivative of p(s) wrt s. -144*s Find the first derivative of 61*h**4 + 88*h**4 + 10*h - 10*h + 192 wrt h. 596*h**3 Find the third derivative of 9*w**6 + 5 + 12*w**2 - 17*w**2 - 29*w**6 - 22*w**6 wrt w. -5040*w**3 What is the third derivative of -68*p**3 + 10401*p**2 - 79*p**3 - 199*p**3 - 10331*p**2 wrt p? -2076 Let r(y) be the first derivative of 265*y**3/3 + 33*y + 233. Find the first derivative of r(c) wrt c. 530*c Let z(m) be the third derivative of 47*m**4/4 + 31*m**3 + 364*m**2. Find the first derivative of z(p) wrt p. 282 Let q(z) be the first derivative of 0*z**2 - 15*z + 0*z**3 - 7 + 7/4*z**4. What is the first derivative of q(f) wrt f? 21*f**2 Let h be 6/(-4) - (-5)/(-10). Let f be 0 + -2 + 8 + h. What is the second derivative of f*n + 3*n**4 - 5*n**4 - 2*n wrt n? -24*n**2 Suppose -s + 5 = 3*h, -2*s - s + 5 = 4*h. Find the second derivative of 149*c**h + 10*c - 75*c**2 + 23*c - 73*c**2 - 10*c**3 wrt c. -60*c + 2 Let j(b) = -291*b**3 + 5*b**2 - 311. Let a(n) = 146*n**3 - 2*n**2 + 156. Let w(h) = -5*a(h) - 2*j(h). What is the derivative of w(s) wrt s? -444*s**2 Suppose 8 = 5*o - 37. What is the third derivative of o*d**2 + 14*d**2 - 18*d**2 - 8*d**3 wrt d? -48 Let c(t) be the third derivative of -37*t**5/20 + 10*t**3 - t**2 - 20*t. Differentiate c(h) wrt h. -222*h Suppose -49 = -v + 32. Find the third derivative of 81*h**3 - 2*h**6 + 19*h**2 - v*h**3 wrt h. -240*h**3 Let n(x) = -2*x - 1. Let v(a) = -16*a**3 - 16*a**2 + 16*a + 8. Let d(p) = 32*n(p) + 4*v(p). Find the third derivative of d(c) wrt c. -384 Find the third derivative of -142*h**3 + h**6 - 2*h**5 + h + 46*h**2 - 145*h**3 + 287*h**3 wrt h. 120*h**3 - 120*h**2 What is the third derivative of 236*q**2 + 240*q**2 + 571*q**5 - 485*q**2 + 27 + 25 wrt q? 34260*q**2 Let l(t) = 670*t**3 - 799*t**2 + 2*t + 2. Let b(u) = -2679*u**3 + 3197*u**2 - 9*u - 9. Let v(j) = 2*b(j) + 9*l(j). What is the third derivative of v(f) wrt f? 4032 Let f = 22 - 19. Let a = 1 + f. Find the first derivative of p**3 + 5*p**3 - 6 + 4*p - a*p wrt p. 18*p**2 Let f(o) be the second derivative of 0 - 2/5*o**6 + o - 4/3*o**3 + 0*o**4 + 0*o**2 + 0*o**5. What is the second derivative of f(n) wrt n? -144*n**2 Let s = 0 - 0. Suppose 44*i - 27 = 41*i. What is the derivative of i - 7*d - 11 - d + s*d wrt d? -8 Find the third derivative of 9*z**2 - 48*z**2 + 16*z**4 - 24*z**2 - 3*z**2 wrt z. 384*z What is the first derivative of 2418*t**4 - 170 - 2313*t**4 - 4*t + 3*t wrt t? 420*t**3 - 1 Let y(l) be the third derivative of 0 + 7/120*l**6 + 7/2*l**3 + 0*l**5 + l**2 - 5*l + 0*l**4 - 1/105*l**7. Differentiate y(o) wrt o. -8*o**3 + 21*o**2 Let t(r) = -9*r**3 + 4*r - 11. Let w(a) = 18*a**3 - 9*a + 22. Let v(h) = -5*h + 36. Let b be v(8). Let l(z) = b*w(z) - 9*t(z). Differentiate l(c) wrt c. 27*c**2 What is the second derivative of 234*z - 204*z**4 + 35*z + 3*z**2 + 169*z**4 wrt z? -420*z**2 + 6 What is the second derivative of -121*j**5 - 11*j**5 + 19*j**5 + 96*j wrt j? -2260*j**3 Let n(p) = 40*p**4 + 3*p**3 - 47*p - 3. Let v(r) = -r**4 + r**3 + r - 1. Let t(z) = -n(z) + 3*v(z). Find the second derivative of t(x) wrt x. -516*x**2 Find the third derivative of -87*y**4 - 69*y**2 + 157*y**2 - 64*y**2 wrt y. -2088*y Find the third derivative of -12*s - 3*s**2 + 10*s**2 - 5*s**2 - 94*s - 34*s - 46*s**4 wrt s. -1104*s Suppose -6 = -0*c - 2*c. Differentiate -16*o**3 - 1 + 12*o**c - 8*o**3 + 7 wrt o. -36*o**2 Let s(n) be the second derivative of -n**5/10 - 2*n**3 + 15*n**2 - 211*n. What is the first derivative of s(k) wrt k? -6*k**2 - 12 Let a = -4 + 8. Suppose -2*p - a*m - m = -41, -2*p + 40 = 4*m. Find the third derivative of 3*c**2 + p*c**3 + 32*c**3 - 42*c**3 wrt c. 48 Let k be 6/(-4) + (-2)/4. Let i be 2 - (k - -2) - -19. Differentiate -25 - l + l - 9*l**4 + i wrt l. -36*l**3 Let y(r) be the third derivative of 575*r**8/336 + r**4/6 - 3*r**3 + r**2 + 11. What is the second derivative of y(l) wrt l? 11500*l**3 Let r(n) be the second derivative of -5*n**2 - 10/3*n**3 + 26*n + 0. Differentiate r(k) with respect to k. -20 Let f(m) be the second derivative of -72*m**5/5 - 203*m**4/4 + 33*m - 7. What is the third derivative of f(l) wrt l? -1728 Let d(l) be the third derivative of -l**6/40 + 53*l**5/60 - 19*l**4/24 + l**3/2 - 65*l**2. Find the second der
{ "pile_set_name": "DM Mathematics" }
: 1, h: 2}. What is prob of picking 3 y and 1 l? 2/165 Three letters picked without replacement from ffffffffff. Give prob of picking 3 f. 1 What is prob of picking 1 n, 1 m, and 2 r when four letters picked without replacement from {l: 4, q: 1, n: 2, r: 2, e: 2, m: 4}? 8/1365 Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {y: 1, w: 3, j: 5}. 1/12 Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {y: 2, p: 6, d: 4, f: 3, m: 3}. 2/51 Calculate prob of picking 1 a and 1 n when two letters picked without replacement from aana. 1/2 What is prob of picking 3 i when three letters picked without replacement from {j: 2, w: 1, i: 4, v: 3, g: 2}? 1/55 What is prob of picking 1 e, 1 u, 1 h, and 1 w when four letters picked without replacement from exqquhw? 1/35 Two letters picked without replacement from inwjo. Give prob of picking 1 n and 1 o. 1/10 Two letters picked without replacement from {o: 2, j: 3, c: 7, t: 2, i: 4}. Give prob of picking 1 o and 1 t. 4/153 Two letters picked without replacement from {z: 8, p: 5, n: 2}. What is prob of picking 2 n? 1/105 Calculate prob of picking 4 q when four letters picked without replacement from {c: 2, q: 4, d: 3}. 1/126 Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {c: 1, w: 3, s: 2, n: 1}. 1/21 What is prob of picking 1 h, 2 y, and 1 u when four letters picked without replacement from {v: 1, y: 12, h: 1, u: 3, s: 2}? 33/646 Calculate prob of picking 2 o and 2 g when four letters picked without replacement from oggggoooooggog. 63/143 Four letters picked without replacement from jjejej. What is prob of picking 3 j and 1 e? 8/15 Two letters picked without replacement from yvyliyyabbyla. Give prob of picking 1 b and 1 v. 1/39 What is prob of picking 1 n and 1 v when two letters picked without replacement from nvp? 1/3 Two letters picked without replacement from vggvmmvfvfmfmggvga. Give prob of picking 1 g and 1 v. 25/153 Three letters picked without replacement from amieezl. What is prob of picking 1 z, 1 i, and 1 l? 1/35 Four letters picked without replacement from {w: 6, j: 6}. Give prob of picking 2 w and 2 j. 5/11 Calculate prob of picking 1 z, 1 b, and 1 h when three letters picked without replacement from {i: 3, z: 2, b: 1, h: 2, q: 4}. 1/55 Three letters picked without replacement from {v: 2, g: 4, k: 2, t: 2, y: 4, z: 1}. What is prob of picking 1 g and 2 k? 4/455 Four letters picked without replacement from nkykkukkdkykkkkkeukn. Give prob of picking 1 d, 1 e, 1 n, and 1 u. 4/4845 Three letters picked without replacement from {l: 1, c: 5, v: 3}. Give prob of picking 3 v. 1/84 Calculate prob of picking 1 f and 3 w when four letters picked without replacement from vfvvwwwv. 1/70 What is prob of picking 1 b, 1 y, and 1 o when three letters picked without replacement from {q: 3, o: 1, d: 6, l: 3, y: 3, b: 1}? 3/680 Two letters picked without replacement from xtotoojjtoetoejt. What is prob of picking 1 t and 1 j? 1/8 Two letters picked without replacement from {v: 3, q: 5, r: 4, f: 1, b: 1}. Give prob of picking 2 v. 3/91 Two letters picked without replacement from lili. Give prob of picking 2 i. 1/6 Calculate prob of picking 2 r and 1 b when three letters picked without replacement from rbrrrrrrrrrbrbrrrbr. 140/323 Three letters picked without replacement from tbburr. What is prob of picking 2 b and 1 r? 1/10 Two letters picked without replacement from arfzsrx. What is prob of picking 2 f? 0 What is prob of picking 3 b and 1 h when four letters picked without replacement from bhbbbbbbbhbbbbbbbb? 56/153 Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {c: 4, m: 1, t: 5}. 1/9 What is prob of picking 1 j and 1 s when two letters picked without replacement from fwwsxjxj? 1/14 Three letters picked without replacement from {w: 7, u: 3, i: 4}. Give prob of picking 3 u. 1/364 Three letters picked without replacement from {r: 1, h: 1, o: 1, m: 1, a: 5, x: 3}. What is prob of picking 1 a and 2 m? 0 Two letters picked without replacement from {w: 1, v: 3, c: 6, z: 3}. What is prob of picking 1 c and 1 v? 3/13 Two letters picked without replacement from {w: 2, s: 1, a: 6, f: 3, r: 3}. What is prob of picking 1 w and 1 a? 4/35 Calculate prob of picking 1 h, 1 g, and 1 u when three letters picked without replacement from {h: 1, q: 2, g: 1, w: 5, r: 2, u: 5}. 1/112 Four letters picked without replacement from yecemmaemyammmmmm. Give prob of picking 1 a, 1 c, 1 y, and 1 m. 9/595 Three letters picked without replacement from {h: 1, f: 3, q: 1, u: 4, a: 2}. What is prob of picking 1 a, 1 q, and 1 h? 2/165 Four letters picked without replacement from tttt. Give prob of picking 4 t. 1 Calculate prob of picking 3 t when three letters picked without replacement from ttrttr. 1/5 Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {k: 4, w: 3, o: 4, m: 6}. 2/17 Four letters picked without replacement from txxxttlxx. Give prob of picking 1 l, 1 t, and 2 x. 5/21 Calculate prob of picking 1 l, 1 m, and 2 h when four letters picked without replacement from mfhmmnhflnfx. 1/165 Three letters picked without replacement from sbrkfbbbssbbsbbbs. Give prob of picking 1 r and 2 b. 9/170 What is prob of picking 4 d when four letters picked without replacement from tdtdtddtdttddtdd? 9/130 What is prob of picking 1 b and 1 p when two letters picked without replacement from vvvptbtvvtvb? 1/33 Three letters picked without replacement from cccecechkphcwehee. What is prob of picking 1 k, 1 h, and 1 p? 3/680 What is prob of picking 2 r and 1 j when three letters picked without replacement from jhjxrjjjnjrnjrjr? 3/35 Calculate prob of picking 1 n and 1 l when two letters picked without replacement from ssllllqbllnbllq. 8/105 Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {q: 1, e: 8, r: 6, j: 1}. 1/120 Calculate prob of picking 2 i when two letters picked without replacement from {q: 6, p: 4, i: 5}. 2/21 Calculate prob of picking 1 k and 1 n when two letters picked without replacement from zuwsuuusnksuuwz. 1/105 What is prob of picking 4 y when four letters picked without replacement from {i: 4, y: 6}? 1/14 Four letters picked without replacement from {x: 2, m: 4, l: 6, n: 2, t: 1}. What is prob of picking 1 l, 1 t, 1 m, and 1 n? 16/455 Three letters picked without replacement from {e: 4, a: 9, t: 6}. Give prob of picking 1 a and 2 e. 18/323 What is prob of picking 1 f, 1 t, and 1 s when three letters picked without replacement from {f: 3, w: 3, h: 2, s: 1, t: 3, q: 1}? 9/286 Three letters picked without replacement from eqeqeeeqeqqq. What is prob of picking 1 q and 2 e? 9/22 Two letters picked without replacement from {w: 2, d: 2}. What is prob of picking 2 w? 1/6 Three letters picked without replacement from {q: 7, n: 7}. Give prob of picking 1 n and 2 q. 21/52 Four letters picked without replacement from {s: 16, g: 4}. Give prob of picking 3 s and 1 g. 448/969 Calculate prob of picking 1 h and 2 u when three letters picked without replacement from {u: 2, h: 3}. 3/10 Calculate prob of picking 1 h, 2 v, and 1 i when four letters picked without replacement from vhiivivihiv. 2/11 What is prob of picking 1 d and 1 v when two letters picked without replacement from xvdssgxa? 1/28 Two letters picked without replacement from wxxooxooxox. What is prob of picking 1 o and 1 w? 1/11 Three letters picked without replacement from papuapzp. What is prob of picking 1 z, 1 p, and 1 u? 1/14 Calculate prob of picking 1 t, 1 z, and 1 j when three letters picked without replacement from jxjxtxgxjtgjxjzgzz. 5/136 Four letters picked without replacement from nalnanlnlnnnnnnnnaan. What is prob of picking 2 a, 1 n, and 1 l? 78/1615 What is prob of picking 1 n and 1 i when two letters picked without replacement from nxnnxiixnhiidiihhm? 8/51 What is prob of picking 2 i, 1 f, and 1 y when four letters picked without replacement from wwjzfjwwwywifywwwwi? 1/969 Three letters picked without replacement from hsdhjcc. What is prob of picking 1 j, 1 h, and 1 d? 2/35 Calculate prob of picking 1 r and 2 i when three letters picked without replacement fro
{ "pile_set_name": "DM Mathematics" }
c**2 + 1. Determine y(-5). -19 Let n(h) be the first derivative of 2*h**2 - 9*h - 336. Determine n(4). 7 Let l(g) be the third derivative of g**5/60 - g**4/8 + 5*g**3/6 - 53*g**2. Determine l(5). 15 Suppose -5*a + 4*c - 49 = 0, -21 = 4*a - 3*c + 18. Let v(d) = -d**3 - 10*d**2 - 5*d + 29. Determine v(a). -7 Let k(l) = l. Suppose 4*x - 16 = 6*x - 4*h, -3*x - 19 = -h. What is k(x)? -6 Let l(f) be the third derivative of -2*f**2 + 2/3*f**3 - 1/24*f**4 + 0 + 0*f. Let n be -3 + -1 + 0 - -7. Give l(n). 1 Let d(k) = 52424*k - 52421*k - k**3 - 3*k**2 - 2 + 2*k**3. Suppose 0*a + 2*a - 18 = -4*v, -27 = -5*a - 4*v. Calculate d(a). 7 Let h(t) = -t**2 - 5. Let f = -1 + 1. Suppose -1 = -5*k + 4*r + 3, 4 = -5*k - 4*r. Let i be f/(3/(k - 3)). Give h(i). -5 Let y(h) = -2*h - 13. Let g be -8 + -3 + 1 + (-16)/(-4). Give y(g). -1 Let p(q) be the first derivative of q**4/4 + q**2 - q - 227. Let h be (-12)/(-10)*80/2. Let f be h/27 + 2/9. What is p(f)? 11 Let d = -7 - -8. Let s(k) = -7 + d - 4*k + 3*k + 2. Determine s(-7). 3 Let n(v) = -v**3 - 5*v**2 + 2. Let w(z) = z**2 - z + 19. Let g be w(7). Let b = 57 - g. Determine n(b). -14 Let b(j) = -j**2 + 5*j - 6. Let r(y) = -2*y - 5. Suppose 0 = 2*o - 0*o. Let s be r(o). Let x = s + 9. Give b(x). -2 Let b(o) = 2*o**3 + 3*o**2 + 3*o + 3. Let l(k) = k - 27. Let u be l(25). Let d = -13 - -9. Let n = d - u. Determine b(n). -7 Let s(g) = g**3 - 3*g + 4. Let q(f) = -1. Let k(l) = 4*q(l) + s(l). Determine k(2). 2 Let a(h) = h**3 - 13*h**2 - 15*h + 17. Let u(n) = n**3 - 7*n**2 - 36*n - 4. Let o be u(-3). What is a(o)? 3 Let a(c) = -c**3 + 3*c**2 + 9*c - 7. Let s be 45/(-5) + 6 + 9. Calculate a(s). -61 Let s(g) = g**3 + 11*g**2 - 3. Let f be s(-11). Let m be 4/f*27/(-12). Suppose 0 = m*d + 10 + 8. Let h(c) = c**2 + 9*c + 8. What is h(d)? -10 Let y(m) be the first derivative of 7*m**3/3 + 2*m**2 + 5*m - 314. Determine y(-2). 25 Let r(t) = -2*t**3 - 15*t**2 + 33*t + 48. Let f be r(-9). Suppose 0 = -2*c + 6. Let u(l) = c - 3 - l. Calculate u(f). 6 Let r(w) = 0 - 6 - 7 + 2 - 3*w. Give r(-6). 7 Let b(r) = 9*r**3 + 6*r**2 - 4*r + 17. Let s(u) = u**3 + u**2 + 2. Let n(y) = -b(y) + 7*s(y). Suppose -3*z + 8 = z. What is n(z)? -7 Let n = 9 + -2. Let x be (14/49)/((-6)/(-105)). Let r(d) = -x + d - n + 0*d + 5. Calculate r(6). -1 Let r(c) = -c**2 - 12*c - 26. Let b be 4*8/12*-3. Let k be r(b). Let a(j) = j**2 - 4*j - 4. Determine a(k). 8 Let z(n) = -2*n - 68. Let h(v) = 6*v + 196. Let m(p) = 3*h(p) + 8*z(p). Calculate m(-20). 4 Let f(d) = d. Let w(b) = -b**2 - 4*b + 5. Let c(k) = -f(k) - w(k). Let s be (7/((-448)/48))/(1/4) - 1. Calculate c(s). -1 Let l(b) be the first derivative of -b**5/20 - b**4/4 - 5*b**3/6 - 3*b**2/2 + 10*b - 15. Let i(g) be the first derivative of l(g). Calculate i(-3). 12 Suppose 4*v - 20 = 0, 3*v = m + 7*v - 23. Let k(p) = 7*p + 4. Let b(w) = -7*w - 5. Let c(n) = 5*b(n) + 6*k(n). Determine c(m). 20 Let o(v) be the second derivative of -v**5/20 + v**4/12 - v**3/6 - 3*v**2 - 31*v. Calculate o(0). -6 Let g(n) = 27*n - 44*n + 12 + 15*n. Calculate g(4). 4 Suppose 5 - 2 = q. Let j(a) = 2*a - 5. What is j(q)? 1 Let u(j) be the third derivative of 1/10*j**5 + 0 - 7*j**2 + 1/12*j**4 - j**3 + 0*j - 1/120*j**6. Let o be (-8)/2*(-6)/4. Give u(o). 6 Let u(a) = a**3 + 2*a**2 - 3*a - 4. Suppose -2*z + 2*d - 10 = -2*d, 4*z - 4*d + 20 = 0. Suppose 0 = k + 2*r, 5*k - 1 - 7 = -2*r. Let f = k + z. What is u(f)? -4 Let w be (-66)/8 - (-2)/8. Let g(u) = u**3 + 7*u**2 - 8*u - 2. Let y be g(w). Let v(a) = 3*a - 9. Let r(x) = x - 5. Let p(t) = -5*r(t) + 3*v(t). Calculate p(y). -10 Suppose -4*x - 1 + 6 = -f, 10 = 5*x - 2*f. Let u(t) = t**3 + t**2 + 4. What is u(x)? 4 Let u(w) = 9*w. Let n(v) = -8*v. Let s(b) = -6*n(b) - 5*u(b). Let j(g) = g - 1. Let k(z) = -4*j(z) + s(z). Determine k(4). 0 Suppose 0 = 5*a + 4*h + 14, 2*a - 2*h - 8 = 5*a. Let b(n) = 2*n + 1. Let j(o) = 2 - 238*o + 1 + 241*o - 2. Let r(i) = -5*b(i) + 3*j(i). Determine r(a). 0 Let w(t) = 6*t**2 - 5*t + 4. Let c(y) = -13*y**2 + 11*y - 9. Let r(n) = 3*c(n) + 7*w(n). Suppose -l - 3*l = 8. Determine r(l). 17 Let l(y) = 5*y + 1 - 11 - 4*y. Suppose -8*q = 6*q - 18*q. What is l(q)? -10 Let z(p) = -16 + 6 - 3 + 6 + 6 + p. Give z(-8). -9 Let b(l) be the second derivative of 19*l**3/6 - 2*l - 83. What is b(-3)? -57 Let r be (3 - 9)/(42/56). Let a(q) = q**3 + 10*q**2 + 16*q - 1. Give a(r). -1 Suppose -15*x + 16 = 61. Let h(c) = -c**2 + 2*c. Give h(x). -15 Let m(i) = 5*i - 36 + 61 - 33 + 4. Give m(4). 16 Suppose 12 + 8 = -5*q. Let w(v) = v. Let u(b) = 6*b + 7. Let a be 2/3*(-9)/6. Let t(l) = a*u(l) + 5*w(l). Give t(q). -3 Let m(s) = s**3 + 6*s**2 + 2*s - 5. Suppose 8*j + 4 = 12*j. Let g be (-1 - (-4)/(-1))/(2 - j). Determine m(g). 10 Let z = 27 - 27. Let r be (0 - 2 - -4) + z. Let b(w) = -1 - 1 - r*w + 7*w. What is b(-2)? -12 Let l(z) be the first derivative of -3*z**3 - z**2/2 + z + 283. Determine l(1). -9 Suppose 5 = 4*g - 5*o, -6*g + 4*o = -2*g. Let b(d) = 6*d + 2*d - 10*d - 3. Give b(g). 7 Let k(y) be the third derivative of -y**5/60 - 7*y**4/12 - 13*y**3/6 + 44*y**2. What is k(-13)? 0 Let b(m) = -6*m - 58. Suppose -165*u + 176*u + 99 = 0. Calculate b(u). -4 Let n(a) = -4 - 3*a**2 + a**3 + 62*a - 25*a - 34*a. Suppose 0*v = v - 15. Suppose -2*c - v = -7*c. Determine n(c). 5 Let q(d) be the third derivative of -d**6/120 + 3*d**5/20 + d**4/2 - d**3/2 - 368*d**2. Determine q(10). 17 Let r(c) = -2*c**3 + 9*c**2 + 5*c + 2. Let q(y) = 247*y - 1230. Let s be q(5). Give r(s). 2 Suppose -4*n = 10 + 10. Let p(h) be the first derivative of h**3/3 + 2*h**2 - 2*h - 14. What is p(n)? 3 Let y(d) = -11*d + 6. Let g = 430 + -429. What is y(g)? -5 Let r = -115 - -120. Suppose j - 1 = w, w = -r*j - 4 - 15. Let z(a) = -2*a**2 - 4*a - 2. Give z(j). -8 Let y(m) = -6*m - 55. Suppose -3*i + 62 = -5*s, 2*i = 3*s + 30 + 8. Let k be y(s). Let l(d) = -d**2 + 4*d + 6. What is l(k)? 1 Let i be -8 - 6*8/(-48). Let g(a) = -a**2 - 3*a + 19. Give g(i). -9 Suppose -4*f + 2*f - 34 = 0. Let i be (-15 - f) + (0 - 0). Let c(b) be the first derivative of -2*b**2 + 2*b + 4. What is c(i)? -6 Suppose 8*n = 7*n + 5. Suppose -4 = -2*u - i + 1, -u + 8 = -n*i. Let w(c) = -c**3 + 4*c**2 - 2*c + 1. What is w(u)? 4 Let c(h) be the third derivative of -h**6/120 + h**5/60 + h**4/24 + 5*h**3/3 + 53*h**2. Determine c(0). 10 Let z(d) = -3*d**2 - 2*d - 3. Let l(r) = -2*r + 3*r + 4*r**2 + 3 - 1 - 2*r**2. Let o(n) = -4*l(n) - 3*z(n). Let s = -19 - -15. What is o(s)? 9 Let q(z) be the third derivative of z**6/40 + z**5/60 - z**3/6 - 166*z**2. What is q(1)? 3 Let j be (-2)/(-6) + 2/(-6) + -4. Let i(w) = 3*w + 8. Let n(g) = -g - 1. Let l(d) = -i(d) - 6*n(d). What is l(j)? -14 Let o(f) be the third derivative of 0 - 1/24*f**4 - 1/120*f**6 + 0*f + 1/12*f**5 - 22*f**2 + 1/6*f**3. Determine o(4). 13 Let s(f) = -f - 5. Suppose 4*m - 136 - 112 = 0. Let q = -65 + m. Give s(q). -2 Let f be (2 + 3/(-24))*8/18. Let k(t) be the second derivative of 0 + 3/2*t**2 - f*t**3 - 3*t. Give k(2). -7 Let z(l) = -l + 7. Let r(o) be the third derivative of 9*o**2 - 1/3*o**3 + 0 + 0*o - 1/24*o**4. Let y be r(-2). Determine z(y). 7 Let o(k) = 5*k**3 - 5*k**2 - 3*k + 8. Let t(a) = 13*a**3 - 15*a**2 - 9*a + 22. Let d(x) = -8*o(x) + 3*t(x). Calculate d(-4). -2 Let r(j) = j**2 - 9*j + 11. Let g = 1732 - 1724. Calculate r(g). 3 Let r(b) = -4*b**2 - b - 71 + 4*b**2 + 70 + b**2. Determine r(4). 11 Suppose -2*s - 32 = -5*k, 2*k + 0*s + 2*s - 10 = 0. Let m(z) = -3*z - 3*z + 2*z + 70*z**2 - 144*z**2 + 6 + 75*z**2. Give m(k). 18 Let n(r) = -r**3 + r**2 - r. Let l = -4 - -6. Suppose -l*q + 2*k - 8 = 2*q, 21 = -5*q - 3*k. Let f = -3 - q. Calculate n(f). 0 Let n(a) = 13*a**2 - 674 - 3*a**2 + a**3 - 24*a + 673. Calculate n(-12). -1 Let i(o) be the second derivative of -o**5/20 - o**4/4 + 5*o**3/6 + 5*o**2/2 - 163*o. Calculate i(-4). 1 Let v(t) = -25358 - t + t**3 + 12674 + t**2 + 12690. Let s be 3/((-6)/10) + 2. Let r be (3 - 1) + s + 1. What is v(r)? 6 Let o = 27 - -189. Let v(k) = -212*k**2 - k**3 + 1 + o*k**2 + 3*k - k. Suppose -15 - 17 = -3*u + 4*c, -3*u - 3 = 3*c. What is v(u)? 9 Suppose 11 = g + u - 11, 4*g + u = 97. Let r = g - 17. Let w(p) = p**2 - 6*p - 11. What is w(r)? 5 Let z(l) be the second derivative of 2*l**2 + 11*l + 0 + 1/3*l**3. Let r be ((-20)/(-6))/((-12)/18).
{ "pile_set_name": "DM Mathematics" }
) = -d**2. What is s(g(c))? -6084*c**2 Let c(k) = k + 3037. Let y(z) = 7*z**2. What is c(y(l))? 7*l**2 + 3037 Let j(u) = 2*u. Let h(o) = -47 + 421*o**2 - 838*o**2 + 50 - 311*o + 420*o**2. Give j(h(a)). 6*a**2 - 622*a + 6 Let s be (-122)/(-14) + (-8)/(-28). Let v(p) = -1 - s + 5*p - 1 - 4*p. Let o(t) = 3*t**2. Determine o(v(a)). 3*a**2 - 66*a + 363 Let q(c) = 7*c. Let f(w) = -94299407*w. Calculate f(q(u)). -660095849*u Let s be 6/(-10) - (0 + 88/(-5)). Let y(z) = -s - 54*z + 17 - 56*z. Let o(w) = -2*w. Determine o(y(u)). 220*u Let i(f) = 4*f. Let s = 140 + -130. Let w(l) = -20*l + 55*l - s*l - 6*l. Give i(w(x)). 76*x Let i(a) be the first derivative of -a**2 - 3218. Let u(d) = 4787*d. What is i(u(n))? -9574*n Let u(w) = 15352*w**2. Let f(p) = 162*p**2. Calculate u(f(c)). 402897888*c**4 Let f(j) = -j + 2. Let m(q) = 2*q - 7. Let r(s) = 7*f(s) + 2*m(s). Let b(l) = -12*l + 7*l**2 + 7*l - 3*l - 8*l + 20*l - 6*l. Calculate b(r(a)). 63*a**2 + 6*a Let w(r) = 4*r**2 - 250991*r + 250991*r. Let b(o) = 42*o + 2. Give b(w(p)). 168*p**2 + 2 Let d(i) = 852*i**2 - 1560*i**2 - 491*i**2 - 2404*i**2. Let q(l) = l. Determine q(d(z)). -3603*z**2 Let x(h) = -2*h. Let w(m) = 928901239*m. What is x(w(n))? -1857802478*n Let l(b) = 9*b**2. Suppose 4*u - 928 = -u + 3*f, 2*u - f = 371. Let o(a) = -353*a + 178*a + u*a. Determine l(o(w)). 900*w**2 Let s(h) = -9*h. Let r(c) be the first derivative of 3*c**2/2 - 1690. Give r(s(o)). -27*o Let y(n) = -93*n**2 + 5*n + 5. Let i(x) = -143*x**2 + 8*x + 8. Let u(s) = -5*i(s) + 8*y(s). Let v(j) = 29*j. Give v(u(k)). -841*k**2 Let y(l) = 3*l**2 + 40. Let v(b) = 27*b. Let q(g) = 752*g. Let r(a) = q(a) - 28*v(a). What is y(r(k))? 48*k**2 + 40 Let h(s) = 169*s**2. Let t(w) be the second derivative of -w**5/30 - 135*w**2/2 + 7*w - 2. Let u(a) be the first derivative of t(a). Determine u(h(r)). -57122*r**4 Let t be 0 - (5 + -80 + -3). Let v(k) = -13*k - 7*k**2 - t*k + 7*k**2 + 2*k**2. Let z(n) = n. Determine v(z(y)). 2*y**2 - 91*y Let l(v) = -68*v**2 - 7. Let t(h) = 0*h**2 - h**2 - 733 - 642 + 1375. What is t(l(f))? -4624*f**4 - 952*f**2 - 49 Let r(y) = 2*y**2 - 75*y. Let a(s) = -36411*s. Determine r(a(q)). 2651521842*q**2 + 2730825*q Let n(w) = 11*w - 10 + 10 + 1. Let u(g) be the first derivative of -22 + 0*g + 0*g**2 + 1/3*g**3. What is n(u(y))? 11*y**2 + 1 Let z(h) be the first derivative of 3*h**2 - h**2 - 1 - h**2. Let q(y) = -466*y + 1134*y - 635*y. Determine z(q(d)). 66*d Let p(d) be the second derivative of -5*d**4/12 - d. Let f(a) = -1298*a - 440. Let x(t) = -94*t - 32. Let r(o) = 4*f(o) - 55*x(o). Give r(p(g)). 110*g**2 Let q(c) be the first derivative of -4/3*c**3 + 0*c + 0*c**2 - 54. Let t(o) = -29*o. Determine t(q(g)). 116*g**2 Let b(i) = i**2. Let s(f) = 88. Let r(m) = -15281*m - 576312. Let h(x) = r(x) + 6549*s(x). What is b(h(v))? 233508961*v**2 Let w(i) = -2*i**2 + 6*i. Let z(g) = 1084563*g. Calculate z(w(b)). -2169126*b**2 + 6507378*b Let r(n) = -n**2 - 5*n**2 + 5*n**2. Suppose -26*t = -4479 - 175. Let p(d) = -t*d + 368*d - 183*d. Calculate r(p(b)). -36*b**2 Let j(b) = -b**2. Let s(d) = -5*d - 33. Suppose -6*k + 21 - 75 = 0. Let v be s(k). Let x(i) = v*i - 7*i + 8*i. Give j(x(l)). -169*l**2 Let a(h) = 192*h + 2. Let z(k) be the first derivative of -k**3/3 - 2596. What is z(a(t))? -36864*t**2 - 768*t - 4 Let g(d) = -12*d - 559268. Let y(n) = -29*n. Calculate g(y(w)). 348*w - 559268 Let i(z) = 61*z**2. Let w(f) = 22444*f. Calculate i(w(j)). 30727721296*j**2 Let b(x) = -27*x. Suppose -34 = 3*l - 37. Let o be (1*(2 - -2))/(2/l). Let a(f) = 4*f**2 - 2*f**2 - 3*f**o. Calculate a(b(p)). -729*p**2 Let j(g) = g. Let c(y) = -158136*y**2 - 6*y - 3. What is j(c(u))? -158136*u**2 - 6*u - 3 Let i(o) = 160*o**2 - 15*o + 30. Let z(l) = 43*l**2 - 4*l + 8. Let r(w) = 4*i(w) - 15*z(w). Let q(n) = -133*n**2 + 1. Give q(r(d)). -3325*d**4 + 1 Let j(c) = 4*c + 0*c - c. Let p(a) = -110*a**2 + 8*a + 1. Let q(l) = 164*l**2 - 12*l - 1. Let o(v) = 3*p(v) + 2*q(v). Give j(o(f)). -6*f**2 + 3 Let r(h) = 2*h**2 - 5470323*h. Let v(w) = -9*w**2. What is r(v(t))? 162*t**4 + 49232907*t**2 Let o(s) = -33*s**2 + 433958*s. Let k(u) = 2*u**2. Give o(k(y)). -132*y**4 + 867916*y**2 Let h(x) = 193*x**2 - 26*x**2 - 70*x**2 + 16*x**2. Let u(t) = -5*t**2. Calculate u(h(c)). -63845*c**4 Let x(g) = -18869576*g. Let u(n) = 3*n. What is x(u(b))? -56608728*b Let n(u) = 1346363 - 2692724 - 51*u + 1346359. Let s(p) be the third derivative of p**4/24 - p**2. Determine s(n(t)). -51*t - 2 Let i(d) be the first derivative of -7*d**2 + 7343. Let f = -1 - -3. Let u(z) = -f*z + 3 - 3. Determine u(i(g)). 28*g Let u(l) = -17*l - 13*l - 54*l**2 + 115*l**2 - 64*l**2. Let w(v) = -89*v**2. Determine u(w(p)). -23763*p**4 + 2670*p**2 Let x(o) = 140999*o. Let h(c) = -147*c**2. Calculate x(h(p)). -20726853*p**2 Let m(l) = -47862134*l + 126718. Let c(s) = 3777*s - 10. Let h(b) = -126718*c(b) - 10*m(b). Let u(t) = 2*t. Give u(h(j)). 14908*j Let w(j) = 3*j**2. Let h(m) = -148*m**2 - 3*m + 15. Let l(g) = 147*g**2 + 2*g - 10. Suppose 18*x - 10*x = -16. Let p(t) = x*h(t) - 3*l(t). Determine w(p(o)). 63075*o**4 Let z(n) = -1457*n - 29. Let m(k) = 196*k**2. What is z(m(q))? -285572*q**2 - 29 Let l(y) = -y**2. Let f(v) = -13005506*v. Calculate f(l(k)). 13005506*k**2 Let y(j) = -j**2. Let o(i) be the third derivative of 26*i**5/5 + i**3/6 - 74*i**2 + 2*i - 4. Determine y(o(p)). -97344*p**4 - 624*p**2 - 1 Let d(t) = -13 - 2*t + 0*t + 6 - 11. Let z(s) = 1. Let b(r) = -4*d(r) - 72*z(r). Let k(n) = -22*n. What is k(b(f))? -176*f Let y(b) = -b**2. Let a(p) = -21*p**2 - p - 52. Let o(i) = -1. Let k(j) = -a(j) - 5*o(j). Let d(w) be the first derivative of k(w). Determine d(y(v)). -42*v**2 + 1 Let l(t) = -62*t**2. Let f = 269 - 257. Let z(o) = -f*o - 28*o + 39*o. Calculate l(z(v)). -62*v**2 Let r(n) = -n - 908. Let z(k) = 2*k + 2040. Determine z(r(m)). -2*m + 224 Let p(v) = v**2 + 3*v - 256. Let s(h) = h - 66. Let f(l) = 6*l - 528. Let m(k) = f(k) - 8*s(k). Determine m(p(x)). -2*x**2 - 6*x + 512 Let i(f) = -201 + 354 - 153 + 23*f**2. Let s(v) = -3*v - 8. Calculate s(i(p)). -69*p**2 - 8 Let v(x) be the first derivative of -x**5/30 - x**2 + 1. Let g(a) be the second derivative of v(a). Let f(y) = 121736*y - 60886*y - 60849*y. What is f(g(c))? -2*c**2 Let z(n) = 8215186*n**2. Let u(t) = -2*t**2. Give u(z(m)). -134978562029192*m**4 Let r(m) = 775*m. Let s be (-16)/(8 - 4)*10/8. Let l(y) = 31*y. Let k(i) = s*r(i) + 124*l(i). Let n(h) = -2*h**2. What is n(k(v))? -1922*v**2 Let u(x) = -12*x**2. Let j(n) = -477196*n**2. Calculate u(j(y)). -2732592268992*y**4 Let h(a) = 7*a**2 - 97*a + 97*a - 9*a**2. Let o(b) = -4*b**2 - b. Calculate h(o(c)). -32*c**4 - 16*c**3 - 2*c**2 Let r(i) = 2*i. Let p(l) = 1072096*l**2. Calculate p(r(n)). 4288384*n**2 Let z(q) = -q - 2205. Let i(x) = 241342*x. Calculate i(z(y)). -241342*y - 532159110 Let l(s) = -10*s**2 - s. Suppose 23*w - 40 = 3*w. Let a(h) = -7*h**2 - 5*h**2 + 10*h**w. Give l(a(o)). -40*o**4 + 2*o**2 Let h(o) be the second derivative of -542*o**3/3 + 1780*o. Let v(s) = 2*s**2. Give h(v(m)). -2168*m**2 Let r(f) = 239*f**2 - f. Let c(h) = -4*h**2 + 48*h + 12. Let p(l) = 7*l**2 - 88*l - 22. Let d(y) = -11*c(y) - 6*p(y). Give r(d(i)). 956*i**4 - 2*i**2 Let k = 93 - 72. Let u(v) = 27*v - 13*v + k*v. Let a(g) = 3*g**2. What is a(u(h))? 3675*h**2 Let b(a) be the first derivative of -a**2/2 - 41955. Let m(t) = -97*t - 5. Let g(s) = -146*s - 8. Let d(i) = -5*g(i) + 8*m(i). Determine d(b(c)). 46*c Let q(t) = -60*t**2. Let l(j) = -710207*j. Give q(l(b)). -30263638970940*b**2 Let u(q) = q. Let d(v) be the second derivative of -7*v**5/60 + v**4/12 - 5*v**3/2 + 2*v**2 - 46*v. Let n(y) be the second derivative of d(y). Give u(n(k)). -14*k + 2 Let u(k) = 7728*k**2. Let g(o) = 87*o**2 + 60*o**2 - 145*o**2. Determine u(g(v)). 30912*v**4 Let w(b) be the second derivative of -65*b**3/3 + 3*b - 13. Let q(v) be the second derivative of -v**3/6 - 36*v. What is w(q(y))? 130*y Let c(n) be the third derivative of 17*n**5/60 - n**4/24 - 108*n**2 - 1. Let v(b) = 13 - 13 + 2*b**2. Give c(v(d)). 68*d**4 - 2*d**2 Let m(b) be the third derivative of -b**4/12 - 1093*b**2. Let g(j) = -1740*j**2. What is g(m(r))? -6960*r**2 Let m(z) be the third derivative of z**4/24 - 4517*z**2. Let p(l) = 1833*l**2. D
{ "pile_set_name": "DM Mathematics" }
ase 8, what is 3070 + -376? 2472 In base 11, what is 7351842 - 0? 7351842 In base 12, what is -146 - 51650? -51796 In base 10, what is -1 - 6165334? -6165335 In base 4, what is 121 - -302310033? 302310220 In base 13, what is -480 + -151c07? -152387 In base 13, what is 9047 - -4bc? 9536 In base 9, what is 2 + 75175754? 75175756 In base 6, what is -443 - -1241433? 1240550 In base 7, what is 163324 + -223? 163101 In base 14, what is -7 + 38d0805? 38d07dc In base 9, what is -345201 + 177? -345013 In base 9, what is -22 - -454812? 454780 In base 8, what is 3521 + -320? 3201 In base 8, what is -1041612 - 1105? -1042717 In base 9, what is 8 + -5023055? -5023046 In base 12, what is 199 + 1227a6? 122983 In base 11, what is -439594 - -3? -439591 In base 5, what is 1044344 + -1112003? -12104 In base 11, what is -14513 + 203? -14310 In base 6, what is 5010025 + 2? 5010031 In base 9, what is -64 + 1638528? 1638454 In base 2, what is 100111100011011000 - -101010001? 100111101000101001 In base 7, what is 13155420460 + -4? 13155420453 In base 16, what is 230531e - -a? 2305328 In base 6, what is 2113 + -110235? -104122 In base 10, what is -1090324 + 33? -1090291 In base 14, what is -25082b1 - 9? -25082ba In base 15, what is 2 - 81dec72? -81dec70 In base 8, what is -421 + -60764? -61405 In base 16, what is -bd25e + -5? -bd263 In base 7, what is 3350543622 - 0? 3350543622 In base 10, what is -955821 - 625? -956446 In base 9, what is 861205 + 574? 861780 In base 13, what is 9968b + -215a? 97531 In base 9, what is -18828 + 21? -18807 In base 6, what is -4 + 111222340? 111222332 In base 5, what is -102433 + -1104? -104042 In base 9, what is 0 + -682483753? -682483753 In base 15, what is 181e + 5ab? 1dca In base 14, what is 10674c9 - -21? 106750a In base 16, what is -42d63 + 57b? -427e8 In base 10, what is -5 - 14420027? -14420032 In base 13, what is 33aa - 30842? -2a465 In base 2, what is 1011111 + 101000101100001? 101000111000000 In base 15, what is -21cc4920 + -3? -21cc4923 In base 13, what is 2 - -1b09ca7? 1b09ca9 In base 6, what is 13 - -50043525? 50043542 In base 6, what is 201231 - -105302? 310533 In base 3, what is 101010221011020210 + -11? 101010221011020122 In base 14, what is 79235 - 1d? 79216 In base 14, what is 0 + -16d36d1? -16d36d1 In base 6, what is 15510454 + -33? 15510421 In base 2, what is -1010111010 - 11010000110011110? -11010010001011000 In base 11, what is -6300603 + -2? -6300605 In base 16, what is -1cdd + 1bddf? 1a102 In base 10, what is -133 + 2119436? 2119303 In base 12, what is 0 - -80a733? 80a733 In base 13, what is -2 - -cb574a? cb5748 In base 6, what is 35 - -1110545? 1111024 In base 15, what is 2813 - -b8? 28cb In base 13, what is -37c61c8 - 1? -37c61c9 In base 9, what is 84465 + 20151? 114626 In base 3, what is -110120102101 + -112? -110120102220 In base 10, what is 107 - -30757? 30864 In base 14, what is -3692c46 - 2? -3692c48 In base 13, what is 13b + -2953c? -29401 In base 8, what is 3644 + -2220753? -2215107 In base 12, what is -1486391 - 2? -1486393 In base 16, what is 595 + -206f? -1ada In base 11, what is 5710 - -1716? 7326 In base 14, what is 114358 + 0? 114358 In base 8, what is 56261 + 3411? 61672 In base 12, what is -b67 + -52285? -53230 In base 13, what is -421 + 4760? 433c In base 16, what is -2fde + 2fb? -2ce3 In base 11, what is -12665175 - 2? -12665177 In base 13, what is -17 - 1b7b28? -1b7b42 In base 8, what is -2036 - -1363? -453 In base 10, what is -2 - -1649803? 1649801 In base 9, what is -22333141 - -3? -22333137 In base 11, what is -5043 - -4511? -632 In base 8, what is -5057 + 60177? 53120 In base 16, what is 96d9b + -3? 96d98 In base 2, what is 101101110010000101000001010 - -1? 101101110010000101000001011 In base 2, what is 10 + -1000111101111001101101? -1000111101111001101011 In base 2, what is -11111001000111 + -1111000110111? -101110001111110 In base 13, what is -5ab + 6bb0? 6602 In base 10, what is -8580802 + 8? -8580794 In base 8, what is -710032 + -543? -710575 In base 15, what is -588d3 + -73? -58956 In base 5, what is -30142011 + 2020? -30134441 In base 9, what is -3 + 137053? 137050 In base 5, what is -130304 - 1111032? -1241341 In base 14, what is 2032 + -c54? 11bc In base 2, what is 10 + 1000110010110101110? 1000110010110110000 In base 16, what is 1bff + -4855? -2c56 In base 7, what is 55 + -4543635? -4543550 In base 4, what is 211 - -300121020? 300121231 In base 12, what is -111 - 229a78? -229b89 In base 6, what is 542 - -2035121? 2040103 In base 15, what is 3ac + -14cb? -111e In base 16, what is 8112eec - -2? 8112eee In base 3, what is -11220020220020 + 0? -11220020220020 In base 14, what is 1 - -3b4b80b? 3b4b80c In base 7, what is -23203560 + 3? -23203554 In base 15, what is -2c7ccc + 1a? -2c7cb2 In base 16, what is 458 + -28cd? -2475 In base 12, what is -b6128 - 12aa? -b7416 In base 12, what is 2009 - -20? 2029 In base 15, what is -83545 - b4? -83609 In base 15, what is 25291 + 30? 252c1 In base 3, what is 101 - -20202012010? 20202012111 In base 10, what is -72 - 119906? -119978 In base 13, what is -797 + -6705? -719c In base 5, what is 2221 + -1401303? -1344032 In base 2, what is -1000011111100011011 + 10111110100? -1000011100100100111 In base 14, what is 1 - -190c775? 190c776 In base 6, what is 5 + -5153115? -5153110 In base 7, what is -61 - 32053001? -32053062 In base 15, what is 61ec3 - 69? 61e59 In base 7, what is 42263 + 636? 43232 In base 9, what is 36 + -277223? -277176 In base 11, what is -45 - -598085? 598040 In base 5, what is 24044 - 11034? 13010 In base 15, what is 5 - -152240a1? 152240a6 In base 3, what is -122200 - 200101202? -201001102 In base 16, what is 5 + -b3efb26? -b3efb21 In base 11, what is -6a90078 - -3? -6a90075 In base 8, what is 3303152 + 125? 3303277 In base 16, what is 1fccfb4 + 3? 1fccfb7 In base 3, what is -2 - -122012212222? 122012212220 In base 2, what is 10001111100111101110 + -10011001? 10001111100101010101 In base 5, what is -220342 + 324200? 103303 In base 8, what is 5 - 156325744? -156325737 In base 5, what is 234223404 + 44? 234224003 In base 6, what is -1250351 - -115? -1250232 In base 6, what is -133100 - 1151? -134251 In base 11, what is 0 + -638270? -638270 In base 11, what is -77a1 + 25027? 18336 In base 10, what is 18 - 161559? -161541 In base 7, what is -30223040 + -452? -30223522 In base 7, what is 10510 + -2034314? -2023504 In base 11, what is -90 - 1070365? -1070445 In base 7, what is 4 - -4125121133? 4125121140 In base 4, what is 1 + 111331023? 111331030 In base 6, what is -11145113 - -35042? -11110031 In base 14, what is 17 - -410b3? 410ca In base 10, what is -232516 + 393? -232123 In base 14, what is 831a - -71? 838b In base 16, what is 2 - 4342944? -4342942 In base 8, what is -17252 + 2047? -15203 In base 10, what is 3 + -1940829? -1940826 In base 6, what is 403112201 + -11? 403112150 In base 16, what is 3caf1fc + -2? 3caf1fa In base 9, what is -48 - 1303585? -1303644 In base 9, what is 34645 - -3867? 38623 In base 5, what is -1133 + 32120? 30432 In base 7, what is 32164 + 4302? 36466 In base 3, what is -1200010100 + 121111? -1122111212 In base 10, what is -78047498 - 13? -78047511 In base 6, what is -24343 - -205305? 140522 In base 16, what is -e - 5e3e72c? -5e3e73a In base 13, what is -36 - 17494? -174ca In base 15, what is -3008 + -1915? -491d In base 10, what is -78 - 155855? -155933 In base 5, what is -31 - 231422131? -231422212 In base 8, what is -24316 - -5345? -16751 In base 13, what is -83b + 3257? 2719 In base 15, what is 27 + -353b59? -353b32 In base 5, what is 13344 + -4121311? -4102412 In base 11, what is -1a + -276692? -276701 In base 9, what is -2740 - 7328? -11168 In base 7, what is -60531 - 60502? -151333 In base 3, what is 12120202 + -210102002? -120211100 In base 2, what is 101111111010010100000010111100 - -1? 101111111010010100000010111101 In base 14, what is 4 + 1a0bc573? 1a0bc577 In base 11, what is -4 + -11064358? -11064361 In base 2, what is 11110100000101 + -101010101? 11101110110000 In base 16, what is -2 + 601e135? 601e133 In base 14, what is -3 - 121d2b29? -121d2b2c In base 15, what is -4 + 164660a1? 1646609c In base 8, what is 2 + -2302250? -2302246 In base 6, what is 2000 + -12110320? -12104320 In base 15, wh
{ "pile_set_name": "DM Mathematics" }
at is y(h)? 5 Let c be -2*(1/(-2))/(-1). Let t(o) = o + 1. Let g be t(1). Let b(p) = 7*p**3 + 5 - 1 - 4 - p**g - 2*p - 1. Give b(c). -7 Let y(k) = -2*k**3 - 4*k**2 - 3*k - 2. Let i(w) = w - 1. Let g be i(-3). Let l = g + 2. What is y(l)? 4 Let b(l) = -3*l**3 - 14*l**2 + 5*l - 14. Let t(g) = -4*g**3 - 21*g**2 + 7*g - 21. Let i(f) = 7*b(f) - 5*t(f). Give i(7). 7 Let l(z) = -z - 1. Let q(s) = s**3 - 6*s**2 + 4*s + 4. Let o(d) = -3*l(d) - q(d). Calculate o(6). -7 Let n(d) = d + 9. Let t be n(-5). Let f(o) = o**3 - 5*o**2 + 3*o - 1. Determine f(t). -5 Let c(h) = -h**2 - 4*h - 3. Let a = -9 + 4. Suppose q + 2 = -0*q. Let l be q/5 + 8/a. What is c(l)? 1 Let q(b) = -5*b - 2 + 2 + 2*b. What is q(2)? -6 Suppose 0 = 2*o + 2*o. Let i(f) = -f**2 + 3 + o*f**3 + 1 - f**3. Determine i(0). 4 Let i(g) be the third derivative of g**7/840 - g**6/72 + g**5/120 - g**4/8 + g**3/6 + 2*g**2. Let v(t) be the first derivative of i(t). Determine v(5). 2 Let m(t) = t**2 - t + 8. Let h be m(0). Let o be (-4)/h*(0 - -2). Let v(q) be the second derivative of -7*q**3/6 + q. What is v(o)? 7 Let d(f) be the third derivative of f**5/24 - f**4/12 - f**3/6 - f**2. Let p(t) be the first derivative of d(t). Let x be ((-2)/2)/(3/(-6)). Calculate p(x). 8 Let v(l) = 2*l. Let c be 2/((-1)/5*-2). Suppose -c*u - 13 = 2. What is v(u)? -6 Let z(p) = -2*p**3 - 3*p**2 + 10*p - 3. Let v(j) = -j**3 - j**2 + 5*j - 1. Let q(g) = 9*v(g) - 4*z(g). Determine q(4). 7 Let p(d) be the third derivative of -d**5/60 - d**4/6 + d**3/3 + 4*d**2. Calculate p(3). -19 Let p(y) = -2 - 8*y**2 + 1 + 2 + 0 - 2*y. Determine p(1). -9 Let h(b) = b**3 + 5*b**2 + 3. Suppose 0 = -4*v + 9 + 23. Let u = v + -4. Suppose -o - 2*a = a - 4, -17 = o - u*a. Calculate h(o). 3 Let g = -9 - -7. Let i be -3 - 6*3/g. Let u(s) = -s**3 + 5*s**2 + 7*s + 2. Determine u(i). 8 Let o(y) be the first derivative of -2 - 1/8*y**4 + 0*y**2 - 1/120*y**5 + 2/3*y**3 + 0*y. Let h(p) be the third derivative of o(p). Give h(0). -3 Let w be (-6)/48 + 31/(-8). Let n(y) = y**3 + 5*y**2 + 6*y + 6. Give n(w). -2 Let f(u) = -u**3 + u**2 + 8. Let r(t) = t - 12. Let l be r(12). What is f(l)? 8 Let l = 2/15 - -1/5. Let w(v) be the third derivative of 0*v + v**2 - l*v**3 + 0 - 1/24*v**4. Determine w(-3). 1 Let f(v) = 2*v**2 - v - 2. Let u(s) = -10*s - 88. Let h be u(-9). Determine f(h). 4 Let l(m) = -m**2 - m + 3. Suppose 0 = 2*i + 3 - 19. Let q be (i/4 + -2)*1. Determine l(q). 3 Let i(p) = -p**2 + 6*p - 5. Suppose q - 6 = -n, 4*q - 9 = 2*q + n. Determine i(q). 0 Let y(k) = -k**2 + 8*k - 7. Let f(b) = 2*b**2 - 17*b + 15. Let m(h) = -2*f(h) - 5*y(h). Suppose -6 = l - 2*l. Give m(l). 5 Let t(g) = -g**3 + 2*g**2 + 3*g + 2. Suppose -2*v + 2 = -4. Suppose 2*j = 4, 0*h + 3 = -h + v*j. Suppose -16 = -2*p + 5*x + 10, -h*x = 12. Calculate t(p). 2 Let l(m) = -12 - 87*m + 0*m**2 - m**3 - 8*m**2 + 1 + 85*m. What is l(-8)? 5 Let u = -5 - 1. Let h(c) = -7*c - 12. Let r(k) = -15*k - 25. Let m(p) = u*r(p) + 13*h(p). Calculate m(0). -6 Let v(i) = -i**2 + 3*i. Suppose -h + 5 + 7 = 3*s, 3*h - 8 = -2*s. Determine v(s). -4 Suppose 0 = -v - 1. Let l = v + 5. Let c(n) = 4*n - 5. What is c(l)? 11 Let j(q) be the second derivative of q**5/20 + 5*q**4/12 - q**3 + 3*q**2 - 3*q. Let w be j(-6). Let z(t) = t**2 - 6*t - 1. What is z(w)? -1 Let r(p) = p**3 - 7*p**2 - 7*p - 8. Let s be r(8). Suppose s = 2*g - 2*o - 12, -4*g + 20 = -3*o + 1. Let k(q) = -q**3 + q. Determine k(g). 0 Let f(o) = 2. Let a(l) = -l. Suppose -h - 4 + 1 = 0. Let n be h + (-8)/(-2) - 4. Let r(k) = n*a(k) - f(k). Calculate r(2). 4 Let q(s) = -23*s**2 - 17*s + 17. Let d(y) = 4*y**2 + 3*y - 3. Let h(i) = 34*d(i) + 6*q(i). Give h(-1). -2 Let q(j) = -3*j - 2. Let h be q(-2). Let m(c) = c**2 - 4*c + 6. What is m(h)? 6 Let q(c) = -3*c**2 + 4*c + 13. Let d(r) = r**2 - r - 4. Let j(f) = -8*d(f) - 3*q(f). Let a be (-35)/(-5) + (-2 - -1). What is j(a)? 5 Suppose -45 = 4*g + 5*k, 8*k + 15 = 2*g + 3*k. Let i(w) = 1 - 5*w**2 + 4*w**2 + w - 4*w. Determine i(g). -9 Let v(n) = 0*n - 2*n - n - 3*n**2 + 1. Let f(y) = -2*y**2 - 2*y + 1. Let u be 40/16*6/5. Let w(a) = u*v(a) - 4*f(a). Give w(0). -1 Let q be 2 + 0 + -2 - -2. Let h(a) be the third derivative of 1/6*a**3 - 1/12*a**4 + 1/120*a**6 - a**q + 0 + 0*a - 1/60*a**5. What is h(2)? 1 Suppose 2*p + 16 = 4*t, -3*t + 3*p = -1 - 5. Let d = t + -6. Let x(l) = l**2 + l - 5. Calculate x(d). -5 Suppose 3*m = 0, -2 = 3*d + 2*m + 16. Let x = d - -8. Let u be x + 0*2/6. Let l(c) = c. Determine l(u). 2 Let w(a) = a**3 + a**3 + 5*a + 8 - 6*a - 7. Calculate w(1). 2 Let k be 1/(1*3/6). Let i(l) = 2*l**2 + 2*l - 6*l + 2 + l**k + 0*l**2. What is i(2)? 6 Let a(h) be the second derivative of h**5/20 + h**4/3 + h**3/6 - 5*h**2/2 + 10*h. Give a(-4). -9 Suppose 0 = 2*t + 2*u + 14, -3 - 10 = 3*t + u. Let q(x) = x**3 + 3*x**2 + 4*x + 4. Determine q(t). -8 Suppose 4*z - c = 66, 7*c = 5*z + 3*c - 77. Let l = z + -26. Let j = l + 6. Let b(f) = -f**2 - 2*f - 1. Give b(j). -4 Let z(x) = -x**2 - 3*x + 1. Suppose -134*w = -132*w + 4. Give z(w). 3 Suppose 24 = 5*h - 4*k, 3*k = -0*k + 12. Let a(i) = 3*i**2 - 2*i**2 + h - 3*i - 4*i. What is a(6)? 2 Let o(j) = -j**3 - 7*j**2 - 6*j - 1. Suppose 0*p - 4*p - 24 = 0. What is o(p)? -1 Let o(h) = 4*h**2 - 8*h + h - h**3 + 1 + 6*h - h. What is o(4)? -7 Let n(z) = -4*z**2 + z**2 + 7*z - 3 - z**3 - 4*z + 1. What is n(-4)? 2 Let i(x) = 6*x**2 - 4*x + 10*x + 0 + x**3 - 1. Let h(v) = -v**2 + 6*v - 6. Let u be h(4). Suppose 5*k = u - 27. Determine i(k). -6 Let m(c) = -6*c + 9. Let x(o) = -5*o + 8. Let h(r) = 4*m(r) - 5*x(r). Determine h(-4). -8 Let c be 3*2/2 + 1. Let w be 51/12 - 4/16. Suppose w*a = -k + 2*k - 21, 0 = c*k + a + 1. Let t(z) = 6*z**3 + z**2 - z + 1. Calculate t(k). 7 Let i(r) be the first derivative of -1 + 0*r + 1/120*r**5 - 1/360*r**6 - 1/8*r**4 + 0*r**2 - 4/3*r**3. Let j(v) be the third derivative of i(v). Determine j(0). -3 Let z(b) = -b**2 - 4*b + 3. Let j be (-2)/(-9) - ((-224)/(-18))/(-7). Determine z(j). -9 Suppose 2*k + 4 = 3*k. Let p(j) = -3*j - 4. Give p(k). -16 Let b(v) = 4*v. Let f(l) = -l + 2. Let g be f(5). Calculate b(g). -12 Let r(f) = -9*f**3 - 7*f**2 + 9*f + 11. Let l(a) = -4*a**3 - 3*a**2 + 4*a + 5. Let j(h) = 7*l(h) - 3*r(h). Determine j(-2). 8 Let k(l) = l**2 + 1. Let u(m) = -m**3 - m**2 + 2*m + 3. Let i be u(-3). Suppose h = -4*x - 0 - 3, 2*x + i = -5*h. What is k(h)? 10 Let w(m) = 16*m**2 - 3*m - 8*m**2 - 2*m**3 + 3 - 5*m**2 + 0*m**3. Let k = 6 - 4. Calculate w(k). -7 Let j be 2/(-1) + (4 - -1). Suppose -5*w - j*l = 2*l + 45, -2*l = 8. Let k(z) = z**3 + 5*z**2 + 2*z + 5. Calculate k(w). -5 Suppose 37 = 8*y + 21. Let i(w) = w**3 - 3*w + 3. Give i(y). 5 Suppose -2*v + 4 = -v. Let y(n) = -n**2 - 5*n + 2. Let b be y(-5). Let h(g) = -v*g**2 + 2*g**3 - 2*g**3 + b*g + g**3. Determine h(3). -3 Suppose 0*s = -3*s + 6. Let o(m) = 2 - s*m - 1 - 2 + m**2. Calculate o(3). 2 Let p(r) = 50*r - 8*r + 5 + 30. Let d(y) = -y - 1. Let z(l) = -35*d(l) - p(l). Let b = 9 + -10. Determine z(b). 7 Let i(p) = -p**3 + 5*p**2 + 8*p - 6. Let w be i(6). Let r be w/(-15) + (-2)/(-5). Let h(o) = -o**2 + o + 5. Determine h(r). 5 Let a = -22 - -26. Let l(c) = -c**3 + 3*c**2 + 6*c - 5. Give l(a). 3 Let r(t) be the second derivative of -t**3/3 + t**2/2 + 2*t. Determine r(-3). 7 Suppose -2 = 2*f, -8*t + 4*t + f = 19. Let v(j) = 2*j + 3. Determine v(t). -7 Suppose 0*i + 3*i + 18 = 0. Let f(p) be the second derivative of p**3/6 + 4*p**2 - 37*p. What is f(i)? 2 Let k = 5 + 2. Let o(g) = k*g - 3 - g**2 + 4 + 2*g**2. What is o(-6)? -5 Let d(s) = s**3 + 7*s**2 - s - 6. Let n be d(-7). Let b(g) = 4*g**2 + 11*g + 4. Let v(f) = f**2 + f + 1. Let w(j) = n*b(j) - 5*v(j). What is w(4)? 7 Suppose 5*v + 12 = 9*v. Let k(c) be the first derivative of -2/3*c**v + 0*c + 3 - 1/2*c**2. What is k(1)? -3 Let b(i) = -i - 2. Let t be b(-1). Let o(k) = k**2 + 4*k + 3. Let n be o(-4). Let h = t - n. Let a(j) = j + 3. Determine a(h). -1 Suppose -g + 0 + 4 = 0. Let c(r) = -r**3 + 6*r**2 - 5*r - 4. Determine c(g). 8 Let s(t) be the second derivative of -t**4/12 - t**3/3 + 2*t**2 + 9*t. Determine s(-5). -11 Let g = 9 - 4. Let p(y) = 2*y - 4. Determine p(g). 6 Let a(z) = 4*z - 1. Let s(x) = x**3 - 3*x**2 + x + 1. Let b be s(2). Let c(m) = 3*m**3 + m + 1. Let r be c(b). Let j = r + 4. Determine a(j). 3 Le
{ "pile_set_name": "DM Mathematics" }
*x + 6246 = x. Suppose 5*j = 2*j + x. Let o = j - 196. List the prime factors of o. 151 Let q(v) = 2116*v**2 + 102*v + 209. List the prime factors of q(-2). 3, 941 Let c = -25 - -7. Let t be (-4)/c - (-113)/18*10. Let g = t + 67. List the prime factors of g. 2, 5, 13 Suppose 4*l + 24*f - 19*f = 95105, -71320 = -3*l + 5*f. List the prime factors of l. 3, 5, 317 List the prime factors of 2/(20 + 13421960/(-671100)). 3, 5, 2237 Let u = 64 + -59. Suppose -u*w = y + 37326, -2*y - 1 = -y. What are the prime factors of 2/13 - w/65? 5, 23 Suppose -68 = 2*z - 78. Suppose -3*b + 10 = 5*p - 9, -z*p = b - 23. Suppose -4*f - p*k + 743 - 73 = 0, -500 = -3*f - 5*k. List the prime factors of f. 2, 5, 17 Let g(i) = i**3 + 5*i**2 + 2*i - 3. Let r(k) = -k**3 - 3*k**2 + 15*k + 2. Let o be r(-6). Suppose -6*x - o = -x. What are the prime factors of g(x)? 5 Suppose 1314*h + 115616 = 1330*h. What are the prime factors of h? 2, 3613 What are the prime factors of (-26)/(-520)*-10*(-39044 + 0)/2? 43, 227 Let z(s) = -20*s**2 + 29*s - 40. Let w(p) = -7*p**2 + 9*p - 13. Let d(i) = -17*w(i) + 6*z(i). List the prime factors of d(12). 89 Let s(v) = -v**3 + 14*v**2 - 12*v - 27. Let i be s(12). Let m = 121 - i. Suppose 0 = 4*l - 3*u - 60, 5*l - m*u - 70 = u. What are the prime factors of l? 2, 3 Let r = -251 + 213. List the prime factors of (15/10)/((-1)/r). 3, 19 Suppose -10*n = 5*n. Suppose n*p - 6 = -3*p. Suppose 10*m - 7*m = 3*i - 465, p*m + 616 = 4*i. List the prime factors of i. 3, 17 Let l(c) = -169*c + 225. Let b be l(-13). Let r = -1588 + b. What are the prime factors of r? 2, 3, 139 Let b = 30 + -26. Suppose 5*i - b = 6*i. Let h(c) = 6*c**2 - c - 10. What are the prime factors of h(i)? 2, 3, 5 Suppose f - 2533 = 92. Suppose -14 + 34 = -4*b, -5*m + f = -3*b. List the prime factors of m. 2, 3, 29 Suppose 0 = -73*h + 344565 + 160960. What are the prime factors of h? 5, 277 Suppose 4*a + 4*p = -2096, -a = 4*p + 271 + 265. Let y = -422 - a. List the prime factors of y. 2, 7 Suppose p = -2 - 2. Let c be (-24)/(1 - p/(-8)). What are the prime factors of c/(((-16)/12)/2)? 2, 3 Let d(y) = 19*y - 66. Let q be d(4). Suppose 2*w - 2*i - 1198 = 0, -14*w + 2417 = -q*w + 3*i. List the prime factors of w. 2, 7, 43 Let c(k) = 13*k**3 + 4*k**2 - 13*k + 9. Let f(g) = -5*g + 12. Let u be f(2). List the prime factors of c(u). 103 Let s(v) = v**3 - 17*v**2 - 22*v + 4. Let n be -2 + -1 - -3 - -20. Let a be s(n). Suppose -384 = -3*z - 2*y, 4*z + 254 = -2*y + a. List the prime factors of z. 2, 3, 7 Let b = 110 - 116. Let q be 285/38*(-4)/b. Suppose a = 3*w + 129, -q*w + 484 = 4*a - w. List the prime factors of a. 3, 41 Let n = 247 - 61. Let s = 55 + n. What are the prime factors of s? 241 Suppose 68*g - 59*g = 12150. Let o = g + -478. What are the prime factors of o? 2, 109 Let r(s) = -s**3 + 10*s**2 - 18*s + 19. Let q = 120 + -109. Let l be r(q). What are the prime factors of l/24*(4 + -1)*-4? 2, 3, 5 Let h be 102/15 + 2/10. Suppose 472 = -h*p + 2971. Let r = -150 + p. What are the prime factors of r? 3, 23 Suppose -13*v = -241 - 227. Let q = 40 - v. Suppose -353 = -q*o + 35. List the prime factors of o. 97 Suppose -96073 + 775554 + 344949 = 55*b. What are the prime factors of b? 2, 67, 139 Let m(j) = 477*j**2 - j - 2. Let v be m(-1). Let u = v + -365. List the prime factors of u. 3, 37 Let s = -66041 - -113664. What are the prime factors of s? 47623 Suppose 5*j - 2*r - 7090 = 0, 5*j - 7070 = -36*r + 34*r. List the prime factors of j. 2, 3, 59 Let l(z) = 16*z - 29. Let u(t) = -t + 2. Let p(c) = l(c) - 3*u(c). List the prime factors of p(5). 2, 3, 5 Let b be (-2 - -3 - -2)*1. Let l(o) = -34*o**2 - 7*o - 2. Let d be l(b). Let q = -227 - d. List the prime factors of q. 2, 3, 17 Let n(b) be the third derivative of b**5/30 + 7*b**4/12 + 23*b**3/6 + 13*b**2. Let j be n(-11). What are the prime factors of -1 + j + (3 - 2)? 3, 37 Suppose f - 5*q - 11 = -3*f, 14 = 4*f - 2*q. Suppose -m = -f*k + m + 28, 3*k + 3*m - 3 = 0. Suppose -344 = -k*w + 3*w. What are the prime factors of w? 2, 43 Let s(g) = -g**3 + g**2 + 12*g + 5004. Let k be s(0). Suppose 0 = -4*o + 13*o - k. List the prime factors of o. 2, 139 Let s(l) = 24*l**2 + 5*l**2 - 27*l - l**3 - 61*l + 16. What are the prime factors of s(24)? 2, 7 Let i(g) be the second derivative of -9*g**5/20 - 5*g**4/12 - 2*g**3/3 + 500*g. Let l be (-2 + -1)*1 - 0. List the prime factors of i(l). 2, 3, 5, 7 Let u be -2230 - (3 + (-4 - -1))/(-2). Let a = -746 - u. List the prime factors of a. 2, 7, 53 Let i = 139 + -53. Suppose i*x = 84*x + 5*m + 1926, -4*x = 4*m - 3824. What are the prime factors of x? 2, 479 Let c(b) = 541*b + 76. Let r be c(5). Let v = r + -1642. What are the prime factors of v? 17, 67 Suppose 4*h + 256 = -2*u, 4*h - 3*h + 57 = -4*u. Let m(c) = c**3 - 21*c**2 + 29*c - 74. Let t be m(20). Let r = t + h. What are the prime factors of r? 41 List the prime factors of -1 + ((-39565)/(-5) - 15*(-5)/(-15)). 7907 Let t(r) = r**3 - 2*r**2 - 41*r - 3. Let k be (8/28)/(3/(-168)*-2). What are the prime factors of t(k)? 53 Suppose -u + 20479 = b, 5*u - 49*b = -53*b + 102400. What are the prime factors of u? 2, 3, 569 Suppose 323 = -7*c - 90. Let o = 286 - c. What are the prime factors of o? 3, 5, 23 Let x(o) = 14*o - 50. Let m be x(4). Let v = 39 + m. List the prime factors of v. 3, 5 Suppose -59*r + 14*r = -113175. List the prime factors of r. 5, 503 What are the prime factors of 66000/(-160)*(20/(-3) + 0)? 2, 5, 11 Suppose 5*w + 22 = -8. Suppose -77*k + 16 = -75*k. List the prime factors of (k/(-5))/(w/120*2). 2 Let r(j) = -69*j + 5. Let k(l) = -68*l + 5. Let b(z) = -7*k(z) + 6*r(z). What are the prime factors of b(6)? 367 List the prime factors of (11100/(-1) + -12)*6/(-4). 2, 3, 463 Let j = -17131 + 37577. What are the prime factors of j? 2, 10223 Let u(k) = k**2 + 9*k + 15. Let a(f) = 3*f. Let q be a(-2). Let h be u(q). List the prime factors of 138/(6/h*4/(-8)). 2, 3, 23 Let w(k) = -2*k**3 + 3*k**2 + k - 2. Let s be w(-1). Suppose s*g + 461 = 665. What are the prime factors of g? 2, 3, 17 Let s(k) = k**3 - 20*k**2 - 20*k + 26. Suppose -5*b - 2 = -17, 0 = -x + 5*b - 23. Let f = 29 + x. What are the prime factors of s(f)? 47 Suppose -1 = -2*u + 5. Suppose u*f + 96 = -0*f. Let i = f - -114. List the prime factors of i. 2, 41 Let l = -1351 + 5049. What are the prime factors of l? 2, 43 Suppose 4*s + 28 = l, s + 0*s + 2 = 0. Suppose l*d - 276 = 17*d. List the prime factors of d. 2, 23 Suppose 2*w - 39660 = 3*z, -67*w + 19845 = -66*w - 4*z. What are the prime factors of w? 3, 6607 Let d(b) = 322*b - 1543. List the prime factors of d(30). 8117 Let s = -13 - -8. Suppose -2*y - 2*d = -42, 86 = 4*y + 3*d - 0*d. Let x = s + y. What are the prime factors of x? 2, 3 Let x = -55 + 60. Suppose -x*u - 5*p + 4*p + 2346 = 0, 2*u + p - 939 = 0. What are the prime factors of u? 7, 67 Suppose 153994 = -19*i + 796574. List the prime factors of i. 2, 5, 19, 89 Let x = 90721 + -56489. List the prime factors of x. 2, 11, 389 Let z(l) = 3*l**3 - 2*l**2 - 2*l - 6. Suppose -g + 9 = o, 5*o = -0*o + g + 15. What are the prime factors of z(o)? 2, 73 Let q(i) = i**3 + 20*i**2 + 34*i - 40. Let u be q(-18). List the prime factors of (-5 + 5 + u + 3)*-263. 263 Let l = -5313 - -6820. What are the prime factors of l? 11, 137 Let o = 50 + -53. Let v be -4 - o - (2 + -6). Suppose n + v*h - 114 = h, -h = -4*n + 447. What are the prime factors of n? 2, 7 Suppose 59 = -3*q - 58. Let o = q + 43. Suppose o*d + 2*g = 44, 4*d - 2*g - g = 24. What are the prime factors of d? 3 Let q be (0 - ((-3)/(-3) + -4)) + 32. Suppose 87 - q = 4*v. Let m(r) = -r**2 + 18*r + 29. What are the prime factors of m(v)? 2, 47 Let z be 540/(-20) - (0 - 7). List the prime factors of (-18624)/z - 44/(-55). 2, 233 Suppose 2*l - 221 = 5*q, -q + 143 = -5*l + 707. Suppose -10*u = 120*u. Let y = l + u. What are the prime factors of y? 113 Let s(q) = 4*q + 21. Let x be s(-11). Let c = -23 - x. Suppose c = 5*h - 424 - 271. List the prime factors of h. 139 Suppose -571 = 3*x - 106. Let m = x + 89. Let h = 8 - m. What are the prime factors of h? 2, 37 Let t(q) = 2041*q + 3134. List the prime factors of t(7). 3, 5807 Suppose 3*j = -x + 20985, -2*j + 7*j + 4*x = 34982. What are the prime factors of j? 2, 13, 269 Let q = -28 -
{ "pile_set_name": "DM Mathematics" }
0*q**5 + 0 + 0*q**2 + 2/3*q**3. Find the second derivative of h(g) wrt g. 160*g**3 Let a(t) = t**2 - 5*t + 130. Let c(w) = 4*w**2 - 24*w + 652. Let k(h) = -24*a(h) + 5*c(h). Differentiate k(m) with respect to m. -8*m Let t(i) be the second derivative of 3*i**8/14 + i**6/6 + 251*i**4/12 + 12*i - 1. Find the third derivative of t(g) wrt g. 1440*g**3 + 120*g Let p(f) be the first derivative of f**6/6 + 9*f**4/2 + 41*f**3/3 - 134. Find the third derivative of p(v) wrt v. 60*v**2 + 108 Suppose -2*x - 3 = -3*x. Find the second derivative of 13*o**4 + 3*o - 5*o**3 - o**3 + 6*o**x wrt o. 156*o**2 Let t(x) = -35*x**3 + 20. Let f(m) = -17*m**3 + 10. Suppose 25*p + 24 = 21*p. Let s(z) = p*t(z) + 13*f(z). What is the derivative of s(w) wrt w? -33*w**2 Suppose -h = -3*u + 3, -5*u + u = -16. What is the third derivative of h*p**4 + 8*p**4 + 0*p**4 - 4*p**2 - 4*p**2 wrt p? 408*p Let i be (-1 - -2)*-1*-2. Suppose i*d - 8 = 0, -p + 3*p + 5*d - 24 = 0. What is the second derivative of 0*g**2 - 2*g + 7*g - g + 3*g**p wrt g? 6 Let s(f) be the first derivative of f**5/5 + f**4/12 - 21*f + 15. Let g(y) be the first derivative of s(y). Find the third derivative of g(k) wrt k. 24 Suppose 0 = -5*g - 4*f + 11, -4*g = 5*f - 2 - 5. Suppose -75 = 4*r - 79. What is the second derivative of -5*b**g - 1 + b + r + 0*b wrt b? -30*b Let i(c) be the first derivative of 24*c**4 + 5*c**3/3 + 3*c**2/2 - 117. What is the third derivative of i(k) wrt k? 576 Let u(f) = -16*f**3 - 11*f**2 + 201*f - 5. Let p(y) = 15*y**3 + 11*y**2 - 202*y + 4. Let t(o) = -5*p(o) - 4*u(o). Find the second derivative of t(s) wrt s. -66*s - 22 Find the third derivative of 24*g**2 - 114*g**3 - 157*g**2 + 17*g**2 - 29*g**3 + 56*g**2 wrt g. -858 Suppose a + v = -1, -2*v = -6*a + 3*a + 17. What is the third derivative of 2*m**2 + 3*m**a - 3*m**2 - m**2 + 0*m**3 wrt m? 18 Let h = 5 + -8. Let d be -1*h/(-2 + 3). Find the second derivative of -w - 4*w**3 + 0*w + 9*w**d wrt w. 30*w Let i(u) = -u**3 + u**2 - 1. Let g(v) = -49*v**3 + 5*v**2 + 2. Suppose -2*k = -4*k + 2. Let f(z) = k*g(z) - 5*i(z). Find the first derivative of f(x) wrt x. -132*x**2 Let m(g) be the third derivative of 0*g**3 + 0*g**5 + 1/20*g**6 + 0*g - 7/12*g**4 + 0 - 3*g**2. What is the second derivative of m(q) wrt q? 36*q Let d(k) be the first derivative of -5*k**4/12 - 5*k**3/6 - k**2 - 4. Let t(z) be the second derivative of d(z). Differentiate t(u) wrt u. -10 Let b(w) be the first derivative of 268*w**6/3 - 6*w**2 - w - 68. What is the second derivative of b(d) wrt d? 10720*d**3 What is the second derivative of 284*s**2 - 207*s**2 + 921*s - 246*s wrt s? 154 Let m(a) = a**3 + 2*a**2 - 3*a. Let u be m(-3). Let k = u + 2. Find the second derivative of -k*c - 22*c**2 - 10*c + 8*c**2 wrt c. -28 Let z(f) = -10*f**2 + 3*f + 16. Let d(c) = c - 8 - 14 - 9 + 30 - c**2. Let b(v) = 3*d(v) - z(v). Differentiate b(k) with respect to k. 14*k Let i(u) = -65*u + 72. Let j(a) = 67*a - 73. Let n(r) = 7*i(r) + 6*j(r). Differentiate n(c) with respect to c. -53 Let v(o) be the second derivative of -o**4/6 - 3*o**3 + 123*o**2/2 + 7*o + 1. Differentiate v(d) with respect to d. -4*d - 18 Let c(f) be the second derivative of -79*f**3/6 - 107*f**2/2 - 5*f - 1. Find the first derivative of c(q) wrt q. -79 Suppose 9*i = 5*i + 56. Suppose -i*t + 25 = -9*t. Find the third derivative of 4*n - 13*n**2 - 2*n + 2*n**t - 2*n wrt n. 120*n**2 Differentiate -547 - 80 + 713*p - 274 wrt p. 713 Let i(q) be the second derivative of -149*q**5/10 + 4*q**3/3 + q**2/2 - 2*q + 292. What is the second derivative of i(y) wrt y? -1788*y Let y(l) = l**3 - l**2 + 1. Let r(z) = -501*z**4 - 3*z**3 + 3*z**2 - 528*z - 3. Let d(t) = r(t) + 3*y(t). Find the second derivative of d(k) wrt k. -6012*k**2 What is the third derivative of -33*r**4 + 21*r**6 - 553*r**2 + 558*r**2 + 1 + 39*r**4 wrt r? 2520*r**3 + 144*r Let d(w) be the third derivative of -19*w**6/24 + 7*w**5/15 + 2*w**2 - 17*w. What is the third derivative of d(g) wrt g? -570 Suppose -z = -0*z + 4, 3*z - 28 = -4*m. Find the first derivative of m + 3*h - 11*h + h wrt h. -7 Let l(x) = 13*x**2 + 8*x - 113. Let g(f) = -13*f**2 - 6*f + 112. Let z(m) = -4*g(m) - 3*l(m). Find the first derivative of z(n) wrt n. 26*n What is the first derivative of 129*g**3 + 325 + 2*g + 23*g**3 - 43*g**3 wrt g? 327*g**2 + 2 Suppose -2*t + 18 = r, 0 = -4*r + r. What is the derivative of 6*y - 15*y + 3*y - t wrt y? -6 Let o(m) be the third derivative of -5*m**8/168 + m**7/5 - 247*m**5/20 + 439*m**2. What is the third derivative of o(x) wrt x? -600*x**2 + 1008*x Let w(i) be the first derivative of -7*i**6/10 - 5*i**4/4 + 31*i - 27. Let l(h) be the first derivative of w(h). Find the third derivative of l(c) wrt c. -504*c Let z(h) = -10*h**3 - 3*h - 15. Let f be (-2)/8 - (-143)/44. Let y(n) = 21*n**3 + 7*n + 31. Let d(c) = f*y(c) + 7*z(c). What is the derivative of d(q) wrt q? -21*q**2 Let l(c) = -21*c**2 - 12*c - 63. Let v(j) = -21*j**2 - 14*j - 62. Let n(m) = 7*l(m) - 6*v(m). Find the first derivative of n(o) wrt o. -42*o Suppose 3*v = 4*c - 27, c = -2*c + 2*v + 19. Find the second derivative of -3573*n**4 + 10*n + 3*n**3 - 3*n**c + 3547*n**4 wrt n. -312*n**2 What is the second derivative of 58*v - 30*v**4 + v**5 - 25*v - 3*v**5 - 290*v - 59*v**4 wrt v? -40*v**3 - 1068*v**2 Find the third derivative of 63*q**4 - 1 + 60*q**4 + 49*q**2 - 135*q**4 - 2*q**5 wrt q. -120*q**2 - 288*q Let m(j) be the second derivative of j**4/12 - 35*j**3/3 + 44*j**2 + 408*j. What is the derivative of m(q) wrt q? 2*q - 70 Let t(j) = -113*j**4 + 111*j**2 + 6*j. Let c(x) = -338*x**4 + 334*x**2 + 17*x. Let a(i) = -6*c(i) + 17*t(i). Find the third derivative of a(l) wrt l. 2568*l Let y(j) = -15*j**2 - 4*j - 50. Let i(b) = 44*b**2 + 14*b + 150. Let s(v) = 2*i(v) + 7*y(v). What is the derivative of s(d) wrt d? -34*d Let i(g) be the first derivative of -132*g**5/5 - 683*g**3/3 + 944. Find the third derivative of i(w) wrt w. -3168*w What is the third derivative of 49*s**4 + 2349*s - 2349*s - 35*s**2 + 7*s**2 + 2 wrt s? 1176*s Let q(y) be the third derivative of 287*y**4/24 - 17*y**3 - 2*y**2 - 118. Differentiate q(i) wrt i. 287 Suppose -3*h - 1 = -7. Suppose 20 = 7*q - h*q. Differentiate -2 + 0*o**4 + 1 + 3*o**q - 5*o**4 wrt o. -8*o**3 Suppose -3*a + 12 = -0*a. What is the derivative of -9*z**4 - 23*z**a + 8 - 31 wrt z? -128*z**3 Differentiate -7*t**3 + 42*t**3 - 4688 + 4668 wrt t. 105*t**2 Let p(q) be the first derivative of 7 + 0*q**2 - 14/3*q**3 - 2*q. What is the first derivative of p(j) wrt j? -28*j Let g(v) be the first derivative of 41*v**4/2 + 3*v**3 + 38. Find the third derivative of g(u) wrt u. 492 Let a be 234/(-65)*5/(-3). Suppose 0*h - 5*h + 30 = 0. Find the third derivative of 0*r**2 + 0*r**6 + 6*r**a - 3*r**2 - 2*r**h wrt r. 480*r**3 Suppose 1 = 2*k - r - 1, -5*r = -10. Suppose -15 = -3*a + 2*a - 5*z, -9 = -a - 2*z. Find the third derivative of 27*q**a + q**2 - 4*q**k - 29*q**5 wrt q. -120*q**2 Let j be (-78)/(-260)*20/2. Suppose 12 = 3*k - 3. Find the second derivative of -24*w + j*w**5 + k*w**5 + 26*w wrt w. 160*w**3 Suppose -7*f = -6*f + 8. Let l = f + 10. What is the second derivative of -q - l*q**2 - 4*q + q wrt q? -4 Suppose 2*j - 5*j = -3. Let u = 4 - j. Find the second derivative of 35*z**3 - 6*z - 35*z**u + z**5 wrt z. 20*z**3 Let j(p) be the third derivative of -3*p**6/8 + 142*p**3/3 + 26*p**2 + 3. Find the first derivative of j(a) wrt a. -135*a**2 Let z(c) be the first derivative of 170*c**3 + c**2/2 - 137*c - 229. What is the second derivative of z(l) wrt l? 1020 Let l(g) be the second derivative of g**5/20 - g**4/6 + g**3/3 + 5*g**2/2 - 143*g. Find the second derivative of l(j) wrt j. 6*j - 4 Let h(g) be the first derivative of 8*g**3/3 + 13*g**2 - 75. What is the second derivative of h(d) wrt d? 16 Suppose -2*k - 5*o = 2*k - 22, 4*k + 4*o - 20 = 0. Let r = k + -1. What is the third derivative of -4*a**r - 2*a**3 - a**4 - 5*a**4 + 2*a**3 wrt a? -144*a Let c = -29 - -46. Find the first derivative of 5*x**2 + c + 2 - 3*x**2 wrt x. 4*x Let w(k) be the third derivative of -13*k**6/24 + k**5/30 + 11*k**4/8 - 86*k**2. Find the third derivative of w(r) wrt r. -390 Let q(w) be the second derivative of -w + 25/6*w**3 + 31/2*w**2 + 4. What is the derivative of q(m) wrt m? 25 Let
{ "pile_set_name": "DM Mathematics" }
p to the nearest 100. 300 Let n = 977 - 978.381. Let p = 0.271 + n. Let z = -1.10931 - p. What is z rounded to 4 decimal places? 0.0007 Let h = -147131728286.900095 - -147132076582. Let s = h + -348297. Let l = -1.9 - s. Round l to 5 decimal places. 0.0001 Suppose -41*f - 4600 = 3477. Round f to 0 decimal places. -197 Let v = 39 - 74. Let j be (21/v - (-7006)/10)*37. What is j rounded to the nearest one thousand? 26000 Let r = 0.3 + -0.5. Let d = -15.8 + r. Let b = d - -15.9999976. What is b rounded to 6 dps? -0.000002 Let h = -2.4797 - -3.47978. Let m = h - 1. What is m rounded to four dps? 0.0001 Let r = 28 - 4. Suppose -4*w + 4*f - r = 0, -5*w - 20 = f - 4*f. Let a be (-5299996)/1 + -3 + w. Round a to the nearest 1000000. -5000000 Let u = 3.78 - 3.7992. What is u rounded to two decimal places? -0.02 Let s(h) = 5599*h**2 - 6*h - 5. Suppose 2*g = 3*g. Suppose -z - 4*z - 25 = g. Let p be s(z). Round p to the nearest 100000. 100000 Suppose 2*l - 12821990 = 2*s, -l = 2*l + 4*s - 19232978. Let o = -4110994 + l. What is o rounded to the nearest 1000000? 2000000 Let a = 9.993 + -10. Let g = -28.007 - a. Let u = 27.99965 + g. Round u to 4 dps. -0.0004 Suppose -2*y - 1543139 - 4047663 = 0. Let u = y + -21904599. Round u to the nearest 1000000. -25000000 Let w be (15/18)/((-1)/(-6)). Suppose -5*a = -2*p - 24200000, a + 48400000 = -w*p + p. Round p to the nearest 1000000. -12000000 Let h = -19.05 - -0.05. Let l = h - -29. Let o = -9.99 + l. What is o rounded to 3 dps? 0.01 Suppose -30*y = -32*y + 10. Suppose -2*p - 3*p + 15 = 0, 0 = t + y*p - 5115. What is t rounded to the nearest one thousand? 5000 Let i(n) = -5 + n**2 - 9*n + 2 + 15. Let t be i(9). Suppose 13*c = t*c + 860000. What is c rounded to the nearest one hundred thousand? 900000 Let o = 2756308420708.99691 + -2756292301136. Let r = 16119489 - o. Let c = r - -84. Round c to four dps. 0.0031 Let q = 0.23499904 + -0.235. Round q to 7 dps. -0.000001 Let f = -0.0802 + 0.1715. Round f to two decimal places. 0.09 Let q = 456114543385 + -456113842584.079898. Let i = q + -700915.92. Let k = i + 115. What is k rounded to 5 decimal places? 0.0001 Let y = -4.98 + -9. What is y rounded to the nearest integer? -14 Let n(z) = 27*z + 6*z + 8*z + 10. Let y be n(5). What is y rounded to the nearest ten? 220 Let k = -0.02 - 0.03. Let n = 0.11 - k. Let c = n - 0.1605. What is c rounded to 4 decimal places? -0.0005 Suppose 127398 = 19*l - 173182. Round l to the nearest 1000. 16000 Let c = 31 + -20. Let r = -23358049 - -23358037.999991. Let s = c + r. Round s to five dps. -0.00001 Let o be (-4)/6*(56 + (1 - 0)). Let k = o - -50. Round k to the nearest ten. 10 Let c(v) = -626*v - 10. Let w be c(11). Let b = w + 1918. Let f = 8378 + b. What is f rounded to the nearest one thousand? 3000 Let q = 13848336 + -13848388.000058. Let c = q + 52. Round c to 5 dps. -0.00006 Let o = -18.557427 + -9258148.442573. Let t = o + 9258166.81000055. Let m = -0.19 - t. What is m rounded to seven dps? -0.0000006 Let t be (-2)/5 + 100408/70. What is t rounded to the nearest 100? 1400 Suppose -4*z + 9*d - 26639997 = 10*d, -4*d = -3*z - 19980012. Round z to the nearest 1000000. -7000000 Let g = 27 + -30. Let h = 8147.1 - 8150.09992. Let q = h - g. What is q rounded to 4 decimal places? 0.0001 Let q = -89.7 + 93.71. Round q to one decimal place. 4 Let a = -246 - -172. Let v = -74.104 - a. Round v to 2 decimal places. -0.1 Let x = -130 - -128.6. Let t = -1507381.399967 - -1507380. Let c = x - t. What is c rounded to 5 dps? -0.00003 Suppose -2*y + 2 - 4 = 0. Let z(d) = 57*d**2 + 2*d + 1. Let c be z(y). What is c rounded to the nearest ten? 60 Let n = 4.617553 + -4.613. What is n rounded to 4 decimal places? 0.0046 Let q = -460.000344 + 460. What is q rounded to 4 decimal places? -0.0003 Let f = 0.529 - -0.61. Let y = -1.1 + f. What is y rounded to 2 decimal places? 0.04 Let y = -2511.1127 - -2511. Round y to three decimal places. -0.113 Let t = 1.52831491 + -1.5282. What is t rounded to 5 dps? 0.00011 Let c be 0/(4*4/8). Suppose c = -5*t - 5*z + 1325, -2*z + 1127 - 327 = 3*t. Round t to the nearest 100. 300 Suppose g + q - 99 = 0, 4*q - 7 = -5*g + 485. Let o be 1710/(-16) + (-12)/g. What is o rounded to the nearest 10? -110 Let h = 10.61 - -0.29. Let q = 1.92 - -16.28. Let s = h - q. Round s to zero dps. -7 Let b = -72.6 - -79.26. Round b to one dp. 6.7 Let n = 210 + -209.313. What is n rounded to two decimal places? 0.69 Let i = -1229 + 3429. What is i rounded to the nearest 1000? 2000 Suppose 2*v + 6*b - b = 27859, -5*v - 4*b + 69639 = 0. Round v to the nearest one hundred. 13900 Let h = -125775654.13 + 125781870.752927. Let g = -6216.5 + h. Let j = g + -0.123. Round j to five dps. -0.00007 Let k = -3.37 + 208.37. Let m = k + -88. Let g = -116.49 + m. What is g rounded to 1 dp? 0.5 Let y = -3.9 - -3.4. Let v = -6.8 + y. What is v rounded to the nearest integer? -7 Let f = 209 + 52. Suppose -3*l = f - 42. What is l rounded to the nearest ten? -70 Let p = -6137033.499 - -6133402. Let w = 3596.5 + p. Let a = w - -35. Round a to 2 dps. 0 Let q = -43.31 - -8.34. Let j = q - -34. Let a = j + 0.96881. Round a to 4 decimal places. -0.0012 Let b = -0.132 + 3.832. What is b rounded to 1 dp? 3.7 Let b = 4.095 + -4. Let g = b + -0.39. Let o = g + 0.48. Round o to 2 dps. 0.19 Suppose -7*r + 4*r + 189688 = -v, 3*v - 2*r = -569092. What is v rounded to the nearest ten thousand? -190000 Let r = -7877.019996 + 7877. Let j = 0 - 0.02. Let g = j - r. What is g rounded to 5 dps? 0 Let p = -23.11208 + 23.1. What is p rounded to 3 dps? -0.012 Let g = 24.87 - 24.868751. What is g rounded to five dps? 0.00125 Let y = -1729.00017828 - -1729. What is y rounded to six dps? -0.000178 Let h = 437 - 442.98. Let s = h + 28.86. Let z = -23 + s. Round z to 1 dp. -0.1 Let b(p) = -16730*p - 10. Let t(w) = 1. Let u(c) = -b(c) - 40*t(c). Let o be u(11). Round o to the nearest 10000. 180000 Let i be (152/20 + -8)*(-22255)/2. Suppose -8*f = -i - 2141. What is f rounded to the nearest one hundred? 800 Let n = 14 + -29. Let x = 10.4 + n. Round x to 1 dp. -4.6 Let g = -0.13572511 - 68.86520489. Let z = g + 69. What is z rounded to four decimal places? -0.0009 Suppose 0 = 4*i + 2*o - 26, -i - 2*o + 9 = 1. Let b be (-36)/(-27)*i/4. Let n(d) = -34497*d - 6. Let k be n(b). Round k to the nearest ten thousand. -70000 Let m(h) = -h**2 + 11*h + 20. Let b be m(13). Let g(n) = 7823*n**3 - 5*n**2 + 10*n + 8. Let i be g(b). What is i rounded to the nearest 100000? -1700000 Let b = -173 + 172.99871. Round b to 3 decimal places. -0.001 Let v = -84.1 + 4.1. Let i = v - -79.21. What is i rounded to 1 dp? -0.8 Let o = -7118.95109 - -7119. Let r = o - 0.0469. Round r to 4 dps. 0.002 Let p = 0.4914 + -3.0144. Round p to 1 dp. -2.5 Let n = 1652.9 - 1563. What is n rounded to the nearest 10? 90 Let o(r) = 19*r**2 + 6*r - 15. Let n be o(-8). Suppose n = 5*f + 3*y, 5*f - 2*y - 970 = 203. What is f rounded to the nearest 100? 200 Let d = 2515 + -2338.3. Round d to the nearest ten. 180 Let q(b) = -6*b**3 - 22*b**2 + 10*b - 60. Let g be q(-9). Round g to the nearest one hundred. 2400 Let t = -2.61907 + 2.62. Round t to four dps. 0.0009 Let n be 3*(-3)/12 - (-15)/4. Suppose -4*u - 47992 = 2*z, 2*z = -n*u + 2*u - 47998. What is z rounded to the nearest 1000? -24000 Let h = 4115.5944 + -4110. Let g = -5.6 + h. What is g rounded to three dps? -0.006 Let o = 161 + -50.2. Let f = 214 + -93. Let x = f - o. What is x rounded to the nearest integer? 10 Suppose 0 = a + 2*a - 69. Suppose -a*y + 25*y = -8600000. What is y rounded to the nearest 1000000? -4000000 Let z = 351 + -328. Let h = 2418764 + -2418741.000152. Let l = z - h. Round l to five decimal places. 0.00015 Let f = 151 - 85. Let a = f - 66.1. What is a rounded to the nearest integer? 0 Let f = -2247592.050079 + 4192010.050093. Let a = -1944434 + f. Let k = -16 - a. What is k rounded to 5 dps? -0.00001 Let g = 19291 - 13091. Round g to the nearest 1000. 6000 Let a = 203.9417 + -204. Round a to two dps. -0.06 Let v = 8 + 15. Let i = -23.00000022 + v. What is i rounded to seven dps? -0.0000002 Let r = -0.1656 + 0.169217. What is r rounded to four dps? 0.0036 Let u = 407685482 + -407685621.00000079. Let v = u + 139. Round v to 7 decimal places. -0.000
{ "pile_set_name": "DM Mathematics" }
prime factors of 2/(-4) - y/(-38)? 7, 13 List the prime factors of 282/((-4)/10*(-70)/84). 2, 3, 47 Suppose 0*p + 84 = -3*p. Let d = 31 + p. List the prime factors of d. 3 Let v(k) = k**3 - 18*k**2 - 22*k + 18. List the prime factors of v(20). 2, 3, 7 Suppose -5*q = -10*q + 55. Suppose q - 38 = -3*t. What are the prime factors of t? 3 Let u = -4 - -5. Let d be u*(1 + 0)*0. Suppose d = -5*n + 48 + 12. What are the prime factors of n? 2, 3 Suppose f = -3*f + 8. What are the prime factors of ((-1)/(-2))/(f/24)? 2, 3 Let s = 4593 + -1060. What are the prime factors of s? 3533 Let r = 122 + -79. What are the prime factors of r? 43 Let i(b) = b. Let a be i(5). Suppose -5*q - a*k + 0*k + 5 = 0, -3*k - 17 = -q. Suppose 0*n + 120 = q*n. List the prime factors of n. 2, 3 What are the prime factors of 24/(-4)*(-2)/(-15)*-65? 2, 13 Let y(j) = -j - 7. Let d(t) be the third derivative of t**5/60 - t**4/24 - 2*t**3 - 5*t**2. Let h be d(0). What are the prime factors of y(h)? 5 Let p = 150 + -80. Suppose 2*n = 4*n + 3*c - 56, p = 3*n + c. List the prime factors of n. 2, 11 Suppose -2*h + 19*r = 23*r - 54, 0 = 3*r + 12. Let y = 69 + -47. Let x = h - y. What are the prime factors of x? 13 Let w(y) = -13*y + 16. Let m(c) = 4*c - 5. Let z(l) = -7*m(l) - 2*w(l). Suppose k = 2*v + 7, 3*k - 2*v = -7*v - 34. List the prime factors of z(k). 3 Let v = 38 + -135. Let o = v - -177. What are the prime factors of o? 2, 5 Let i(n) = n + 1. Let l be i(4). Suppose 5*f - 2*f = 0. Suppose f*d + l*d - 45 = 0. What are the prime factors of d? 3 Suppose 3*m - 4*m + 22 = 4*j, -4*m - 5*j = -132. Let h = 21 + m. List the prime factors of h. 59 Let r(p) = -p**3 + 5*p**2 + p + 13. What are the prime factors of r(5)? 2, 3 Let w(k) = 189*k**2 - 4*k - 6. What are the prime factors of w(-2)? 2, 379 Let y(b) = -b + 12. Let i be y(0). Let d = -9 + i. Suppose -x - d*x = -100. List the prime factors of x. 5 Let u(l) be the first derivative of l**2 + 11*l - 4. What are the prime factors of u(5)? 3, 7 Let s = 1518 + -872. List the prime factors of s. 2, 17, 19 Suppose -4*b = -b - 96. Suppose -17*l = -11*l - 12. List the prime factors of l*-2*b/(-4). 2 Suppose -5125 - 2707 = -22*q. List the prime factors of q. 2, 89 Let p(b) = 27*b**2 - 2*b - 8. What are the prime factors of p(5)? 3, 73 Suppose 3*u + 2*u - 235 = 0. Suppose -5*y + 3*p - u = -5, 3*p = 2*y + 24. Let t = y + 11. List the prime factors of t. 5 Let n(m) = 55*m - 5. Let w be n(16). Suppose 0 = -5*q - 4*t + w, 0*q = -4*q + 2*t + 700. What are the prime factors of q? 5, 7 Let n(g) = g**2 + 2*g - 2. Let f be n(-4). Let s be (f/9)/((-2)/(-51)). Suppose -49 = -3*z + s. List the prime factors of z. 2, 11 Let y(l) = l**3 + 15*l**2 - 17*l + 18. Let u(h) = -8*h. Let v be u(2). Let z be y(v). Suppose 249 = 5*k + z. List the prime factors of k. 43 Let o be (-3)/6 + 303/6. Let m = o + -45. What are the prime factors of m? 5 Let l be -123 - (-4)/(8/(-6)). Let i be l/35 - 4/10. Let y = 13 + i. List the prime factors of y. 3 Let s = -1 - -1. Suppose 3*w - 33 = 3*d, -2*w + 7 = -0*w + d. Suppose s*h + 198 = w*h. List the prime factors of h. 3, 11 Let d(k) = -4*k - 24. Let i be d(-6). Suppose -9*p + 692 - 8 = i. What are the prime factors of p? 2, 19 Suppose 5*j - 1134 = 8311. List the prime factors of j. 1889 Suppose -4*t + 0*a + 3*a = -27, -t + 3*a = -18. Suppose t*d - d = 0. Suppose d = 3*z - 4*p - 62, -5*z = p - 2*p - 75. What are the prime factors of z? 2, 7 Suppose -6*y = -4 - 14. Suppose -f + 148 = -y*f. List the prime factors of f/((1 + 0)*-2). 37 Suppose 0 = -h - 16 + 316. List the prime factors of 1/((-10)/(-25) - 117/h). 2, 5 Let s = 217 + -36. Suppose 0 = -5*d - 4*x - 155, 5*d + x = 11 - s. Let m = -27 - d. What are the prime factors of m? 2 Let b = -170 + 288. List the prime factors of b. 2, 59 Let r = 3498 + -889. List the prime factors of r. 2609 Suppose 0 = 3*m + 12, -3*t - 154 + 1152 = -2*m. List the prime factors of t. 2, 3, 5, 11 Let k(g) = 2*g**2 + 2*g - 5. Let d(o) = -3*o - 3. Let b be d(-3). List the prime factors of k(b). 79 What are the prime factors of 13000/38 - ((-224)/(-133))/16? 2, 3, 19 Let k = -1 + 0. List the prime factors of 1*(k + 2*20). 3, 13 Let x = -414 - -679. List the prime factors of x. 5, 53 Let k(v) = -v + 4. Let z be k(2). Suppose 2*q = -z*i, 3*i = -q + i - 4. List the prime factors of q. 2 Let b(n) = 280*n - 16. List the prime factors of b(1). 2, 3, 11 Let x = 20 + 280. What are the prime factors of (6 + 0)/((306/x)/17)? 2, 5 Let l(q) = -68*q + 17. Let a(i) = -17*i + 4. Let t(o) = 17*a(o) - 4*l(o). What are the prime factors of t(-9)? 3, 17 Let f(j) = j**3 + 13*j**2 - 18*j - 24. Let o be f(-13). Let t = o - 42. What are the prime factors of t? 2, 3, 7 Suppose 3416 + 3370 = 18*l. Suppose 4*f + 3*g - 643 = l, -2*g - 496 = -2*f. List the prime factors of f. 2, 3, 7 Suppose -2*p = -9*p + 364. What are the prime factors of 234/p - (1 - (-10)/(-4))? 2, 3 Let p = -658 + 1094. Suppose 0 = 3*c + c - p. List the prime factors of c. 109 What are the prime factors of ((-619)/(-5))/((-13)/(-260))? 2, 619 Let b = -1292 + 1730. List the prime factors of b. 2, 3, 73 Let w = -5 + 11. Let g be (-3 + 1)*51/w. Let h = g - -19. List the prime factors of h. 2 Let w(d) = 4*d**3 + d**2 + 2*d + 6. Let r(c) = c**3 + c**2 + c + 1. Let b(u) = -5*r(u) + w(u). Let s be b(-3). Let q = s + 17. List the prime factors of q. 2, 3 Let v be 4 - (-2)/((-10)/(-5)). Suppose -v*k + 288 = k. What are the prime factors of k? 2, 3 Let t(u) = -u**2 + 6*u - 11. Let l be t(5). Let r(o) = -3*o**2 - o - 15. Let f(q) = -4*q**2 - 15. Let y(p) = 2*f(p) - 3*r(p). List the prime factors of y(l). 3, 11 Suppose -f + 4*f - 5 = 4*b, -b + 4*f + 2 = 0. List the prime factors of (b - -5)*5/15 - -42. 43 Suppose -u + 1544 = a, u + 7*a = 3*a + 1535. List the prime factors of u. 7, 13, 17 Suppose 14 = 4*c + 3*c. Suppose 0 = c*f - 323 - 25. List the prime factors of f. 2, 3, 29 Let n be 11/44 - (-2)/(-8). Suppose n = 8*m - 7*m - 11. Suppose 5*x - 3*h - 90 = 0, 4*h = -x + 30 + m. List the prime factors of x. 3, 7 Let f(k) = -11*k**3 + 6*k**2 + 55*k - 4. List the prime factors of f(-6). 2, 1129 Suppose 4*p - 2*r = -7*r + 629, 467 = 3*p - r. Let k = p + 1. List the prime factors of k. 157 Let y be 9/6*(3 - 1). Suppose x - 582 = -y*h, -4*h + 2*h - 5*x = -401. Suppose -4*q + 67 = -h. List the prime factors of q. 5, 13 Let r = 10 + 1. Let w(s) = 5*s - 10. List the prime factors of w(r). 3, 5 Let x(u) = -2*u + 1 + 10*u - 3. Suppose -3 = b, 3*c = 2*b - 0*b + 15. What are the prime factors of x(c)? 2, 11 Suppose a + 2*o - 18 = -6, -2*a - 5*o = -26. Let c = a - 4. Suppose -5 = -c*z + 3*z. What are the prime factors of z? 5 Suppose l - 14 = -2*b - l, 0 = -2*b + 4*l - 10. Suppose -2*q - 31 = -a - 5, 3*a - b*q = 78. List the prime factors of a. 2, 13 Suppose 0 = -5*o + 75 + 175. Let q = 151 - o. What are the prime factors of q? 101 Let q(c) = 8*c - 51. Let h be 0 - 3*(60/(-9) - -4). List the prime factors of q(h). 13 Suppose 309 = 3*y + 24. Let m = y - -206. What are the prime factors of m? 7, 43 Suppose 2*k + 57 = -2*o + 413, -4*k + 730 = -5*o. What are the prime factors of k? 2, 3, 5 Let r(h) = 3*h - 13. Let i(v) = -v + 7. Let d(s) = -7*i(s) - 4*r(s). List the prime factors of d(-2). 13 Let t = -7 - -2. Let b(a) = a**2 + 5*a + 4. Let h be b(t). Suppose 3*n - 12 = 0, 5*k + 6*n - 78 = h*n. List the prime factors of k. 2, 7 Suppose 1 = -13*t + 8*t + 4*q, 5*t - 27 = -3*q. List the prime factors of t. 3 Let h(j) = j**2 + 11 + 51 - 2*j - 3*j - 13*j. List the prime factors of h(19). 3 Suppose -5*u = -v + 662, -v - u - 303 = -977. What are the prime factors of v? 2, 3, 7 Suppose 0 = -2*o + 7*o + 250. Let c = -12 - o. Suppose 3*t + 2*b + 2*b = c, 0 = -5*t + 3*b + 73. List the prime factors of t. 2, 7 Let f(l) = 91*l - 150. List the prime factors of f(7). 487 What are the prime factors of (-4)/8 - (-3905)/10? 2, 3, 5, 13 Let j be 3 - (-1)/1 - 290*-1. Suppose -j - 181 = -5*o. What are the prime factors of o? 5, 19 Let p be (2 - -1*201) + -3. Let c = -137 + p. List the prime factors of c. 3, 7 Let k be (-4113)/(-63) - (-4)/(-14). What are the prime factors of -4*1 - (-4 - k)? 5, 13 Let v(y) = 46*y - 92. Let g be v(6). Suppose 0 = -4*i - n + 593, 0 = -2*i + n + 105 + g. List the prime factors
{ "pile_set_name": "DM Mathematics" }
ulate 3 + -4 + 0 + (2 - -2). 3 Evaluate 52 + -44 + (-1 - 1). 6 (0 - 1) + -2 + 5 + -5 -3 What is the value of 0 + -3 - (-10 - (1 + -7))? 1 11 + 4 - 2 - 21 -8 What is the value of 4 - (4 - 0) - 1 - 0? -1 Evaluate -3 + 9 + 2 + -10. -2 Evaluate -11 + (2 - (-10 + 7)). -6 Calculate (3 - 4) + -3 + 11 + -3. 4 -5 + -12 + 17 + (0 - 2) -2 (9 - 5) + -4 - -2 2 What is (43 - 57) + 1 + 6? -7 Calculate 3 + (-3 - 0) + 3 + -3. 0 3 - ((0 - -1) + 0 + 1) 1 Evaluate -4 - (3 + -2 - 5). 0 What is -1 - 1 - (2 - -1)? -5 Evaluate (-3 - -3 - 3) + 0. -3 What is the value of (2 - 1) + (1 - (4 - 6))? 4 -2 + (2 - 3) + 2 + 3 2 What is (-12 - -5) + (-9 - -16) + -4? -4 What is the value of 5 + 1 + -13 + -1 + 2? -6 What is 13 + (6 - 1 - 15 - -3)? 6 -10 - (6 + (-15 - -4)) -5 -1 + 7 + -3 + (1 - 5) -1 What is the value of -2 + (3 + -3 - -4)? 2 Calculate 6 - (-1 + (-6 - -12)). 1 What is 1 + -3 - (11 + -8)? -5 Calculate -5 - (-2 - (-2 - -4 - -1)). 0 What is the value of -1 + -3 - (12 - 12)? -4 Calculate 10 - ((3 - 9) + 9). 7 -2 - (7 + (-5 - 0)) -4 What is the value of -3 - (-5 - -2) - 2? -2 Evaluate 2 + 4 + (8 - 11) + -5. -2 Evaluate (-6 - -10) + 3 - 6. 1 What is the value of 5 + (-2 - 2) - -1 - 4? -2 10 + (6 - 6 - 2) - 6 2 Calculate -55 + 45 + 21 + -2. 9 What is the value of -4 + 1 + -18 + -13 + 39? 5 Calculate 5 + -10 - (1 - 3). -3 Calculate 5 - (8 + -4) - -4. 5 Calculate 3 - (1 + 3 + (0 - 7)). 6 Evaluate 9 + -9 - (2 + -5). 3 Evaluate 1 - -1 - (2 + 0 + -1). 1 What is 7 - (20 - (23 - 11))? -1 What is the value of -7 + (-3 - (-6 + 1))? -5 Calculate -5 + 5 + -6 + 0. -6 What is (-2 - (3 - (0 + 2))) + -1? -4 Evaluate -4 - -2 - (-4 - 0) - 0. 2 Calculate 3 + -8 + 6 + 1. 2 What is the value of 0 + 7 + -16 + -1 + 4? -6 Evaluate 4 - (-7 - (-4 + -6 + -1)). 0 What is 0 + -7 + -10 - -8? -9 2 + (-9 - (6 + -10)) -3 Calculate 12 + -19 - -6 - (0 + -2). 1 1 + (3 - 1) + (0 - 1) 2 What is (-8 - -9) + 0 + 1 - 1? 1 Evaluate 16 - 12 - (1 - 1). 4 What is the value of 11 + -1 + -8 - -2? 4 Calculate -2 - (-1 + 4 + -9). 4 3 + 5 - (2 + 0) 6 What is the value of 8 - (1 + (-8 - -5) - -7)? 3 Evaluate (0 - -2 - 1) + (30 - 35). -4 What is -109 + 117 - (1 - -3)? 4 -19 - (8 + -10 - 13) -4 Evaluate -12 - -10 - (-2 + 0). 0 Evaluate -4 - ((-11 - -6) + 6). -5 0 - -1 - (-15 + 16) 0 (4 - 6) + 0 - (0 - 0) -2 8 + (-7 - 9) + 8 - -8 8 Calculate 9 + (10 - 11) + -10. -2 -2 + -6 + 2 - (-9 + 6) -3 Calculate -1 - (-6 - (-6 + (-6 - -10))). 3 What is -14 - (-7 - (14 - 8))? -1 What is -60 - -70 - (8 + -1)? 3 Evaluate 1 + -11 - (-13 + 9 + -2). -4 What is -1 - 2 - (-7 - -6)? -2 Calculate 2 + (1 - 2) + (-9 - -1). -7 Calculate -4 - ((-4 - -8) + -6). -2 Calculate 329 - 314 - (0 - -16). -1 Evaluate 12 - (12 + -8) - 8 - -10. 10 6 + (3 - 3) - 5 1 What is 2 + (6 - -2) + -7? 3 -8 + (8 - (11 - 6)) -5 Calculate -3 - (-3 + 3 + -4). 1 Calculate -4 + 5 + -4 + -2. -5 What is -5 + (-2 + -1 - -4 - -1)? -3 What is the value of 4 + (1 + 3 - 5)? 3 Evaluate -7 + 3 + (-4 - -8). 0 What is -1 + -3 - (-10 + 5)? 1 What is -1 + (6 - 4) + 2? 3 4 - (2 + 4 + -8 + 11) -5 Calculate (-2 - (0 - 2)) + -6. -6 Evaluate -8 + -1 - (-33 + 28). -4 Calculate -3 - (-1 - -1) - (-290 - -292). -5 Evaluate 1 - 5 - (4 + 1 + -7). -2 Evaluate 2 + -2 + (2 - 2) + -2. -2 What is the value of 0 + (3 - -1) + -2? 2 -14 - -10 - ((-2 - 0) + 2) -4 Calculate -2 + 0 + 1 + (-12 - -9). -4 What is -13 - (9 - (7 - -12))? -3 (8 - 5) + (1 - 0) - 6 -2 What is -12 - 1 - (-12 + 19 + -13)? -7 3 + -6 + 9 - (-1 + -1) 8 What is the value of 10 + -11 + 2 + 4 - 5? 0 Calculate 4 + 0 - (9 + -9 - -1). 3 -6 - (3 + (6 - (-4 - -14))) -5 Calculate 1 - (3 + -2 + -4). 4 What is -6 - (-5 - -1) - -3? 1 Calculate -3 + -1 - (-98 + 96). -2 What is 0 - (0 - (-6 - -1) - 8)? 3 What is the value of 1 + 1 + 4 + -3 + 4? 7 Evaluate -7 - (12 - (16 - 0)). -3 What is the value of (1 + -4 - 0) + 5? 2 Evaluate 7 + (1 - 3) + -5 - -2. 2 What is (5 + -2 - -2) + (4 - 9)? 0 What is -10 + 4 + 8 + -13? -11 Calculate -4 + 6 - (7 - (-2 + 3)). -4 What is -24 + 21 + (-1 - -2)? -2 12 - (3 - -10) - 9 -10 What is 0 - (3 - (2 + 1))? 0 (-1 - 6) + 10 + -6 -3 What is the value of (1 - -4) + 6 + -11? 0 What is the value of -2 - (-2 - 0) - 0 - 1? -1 Evaluate -5 - (-9 + -2 + 3 + -3). 6 What is the value of -2 - (-6 - -2 - -2)? 0 Calculate -8 - (3 - 3 - (1 + 2)). -5 Calculate (-3 - -3 - (1 - -6)) + 4. -3 What is 0 - -6 - (1 + 1 + -1)? 5 Evaluate 8 - (9 - (8 + -6)). 1 What is the value of 3 + -3 + (-5 - 2 - -5)? -2 120 - 114 - (-1 - (1 - 8)) 0 -13 - (-14 - (1 + 4)) 6 What is the value of 16 + -26 + 12 + 1 + -6? -3 What is the value of (2 - -1) + (-14 - -11)? 0 3 - 3 - (-21 - -17) 4 What is (7 - (-6 - -11) - 6) + -4? -8 Calculate -1 + 4 + (-7 - -7). 3 Evaluate 8 + -11 + 0 + 0 + 5. 2 What is the value of -3 - -9 - (1 - (1 + -3))? 3 (-1 - -2) + -5 + (5 - 3) -2 Evaluate -9 + 18 + -11 - (-1 + -4). 3 Evaluate (-26 - -11 - -9) + 6. 0 What is the value of -2 + 7 - 11 - (-3 - 2)? -1 5 - (-3 + 0) - 2 - -2 8 Calculate (1 - (0 - -3)) + -4. -6 What is (-3 - -2 - (2 - 0)) + 8? 5 -17 + 12 + (-2 + 4 - 4) -7 4 + -11 + 0 + 4 -3 Evaluate -9 - (2 - (0 - -13)). 2 What is the value of -4 - (-2 - -2 - 1)? -3 What is (-43 - -41) + (1 - (3 - 0))? -4 Evaluate 1 + (0 - (-18 + 11)). 8 -25 + 32 - (2 - (1 + -2)) 4 What is the value of -11 - ((1 - -1) + -10)? -3 What is -1 - -4 - 0 - (1 + 0)? 2 Calculate -4 - (-8 - 1) - 2. 3 What is -57 - -51 - (5 - (-3 - -6))? -8 Evaluate (2 + 4 - 5) + 1 + -2. 0 What is (16 - 19) + -2 + 0 + 0? -5 What is 1 + 1 - (-1 + 7)? -4 What is 5 - (1 + -4 - -4)? 4 What is the value of (-1 - 2) + (10 - 8) + 4? 3 Calculate -14 - ((0 - 4) + 64 + -68). -6 What is the value of -10 - (-3 + -4 + -10)? 7 Evaluate (-1 - 1) + 2 + -3 + 0. -3 Evaluate 2 + 4 + -2 + -2 + -6. -4 What is the value of -44 + 48 - ((1 - 1) + 2)? 2 2 + -5 + (1 - 1) -3 Evaluate 13 - (12 - 2 - -1). 2 -4 + -2 - (-5 + 1) -2 Calculate 7 + (-4 - (6 - 7)). 4 What is the value of -1 + (-8 - -12) + 0? 3 What is the value of 90 + -87 + 4 + 0? 7 Evaluate -1 + 3 + (-4 - 0) - 1. -3 What is the value of -9 + (5 - (-4 + -5))? 5 Evaluate -3 + (0 - 1 - -7) - 7. -4 Evaluate 0 - (15 - 15 - (2 - 1)). 1 What is (1 - (3 + -3)) + 2 - 2? 1 What is (2 - 6) + (-7 - -9)? -2 Evaluate 5 - (5 + -8 - -11 - -2). -5 What is the value of (7 - (0 - (1 - 3))) + -1? 4 -1 + 0 - (-54 - -48) 5 What is (4 - -2 - 8) + 3? 1 What is (-9 - -5 - (0 - 5)) + -5? -4 What is the value of (9 - 16) + -1 + 6 + 0? -2 -3 + (2 - (4 - 8)) 3 What is 2 - 7 - (-3 + (5 - 2))? -5 Calculate 3 + (8 - (13 - -1)) - 2. -5 What is the value of (-6 - -12) + (2 - (0 + 11))? -3 What is 14 - (15 - 3) - 13? -11 What is 2 + (-2 - (-2 + 2 + -1))? 1 (-6 - -18 - 9) + -1 + -9 -7 (7 - -1) + -12 - -6 2 -24 + (5 - -3) + (7 - -1) -8 -7 + (-3 - (-5 - 2)) + 8 5 Calculate 4 - (-27 + 31 + (1 - 4)). 3 Evaluate -1 + 3 + (0 + -5 - -6). 3 Calculate -20 - -16 - (3 - 2 - 3). -2 What is (-3 - 0) + (-16 - -17)? -2 Evaluate 2 + (5 - 5) + -2. 0 Calculate -1 - (-3 - -5) - (16 + -24). 5 What is the value of (-3 - (-2 + -1)) + (-2 - 0)? -2 What is the value of (5 - 1) + -2 + -2 + -3? -3 Calculate 0 - 2 - (-11 + 7 - 4). 6 What is the value of 2 + 4 + (-18 - -8)? -4 What is 6 + (-1 - 3) + 2? 4 Evaluate 8 + (-1 - (-5 - -11) - -1). 2 12 + -9 + 4 + -6 1 (2 - 2 - (-8 - -3)) + -9 -4 -10 - (-27 + 2) - 7 8 Evaluate 4 + -9 - (-7 - 0). 2 What is -1 + 11 + (-7 - 2)? 1 What is -2 - (-5 + -3 + 4)? 2 What is -1 + 9 - 7 - (-7 + 1)? 7 (0 - (4 - (2 - 3))) + 5 0 Calculate 14 + -17 + 4 + (2 - 1). 2 What is 3 - (-1 - ((3 - 6) + 1))? 2 Calculate 0 - (-3 + 2 + (9 - 7)). -1 -1 + 3 + 2 - (9 - 0) -5 What is the value of -3 - (3 - (-1 - -3) - -4)? -8 What is the value of -2 - (0 + (-9 - -5) + 1)? 1 What is the value of 4 - (-2 - (-6 + 5) - -5)? 0 0 + 10 + -4 + -1 5 What is -4 - -6 - (-15 + 25)? -8 Calculate (23 - 34) + (-1 - -5). -7 What is (-121 - -126) + -9 + -1? -5 What is the value of (10 - 15) + 0 + 3? -2 What is -8 + 4 + 4 + 2 - -3? 5 5 + 8 + (5 - 20) -2 What is (-5 - 1) + 6 + -2 + -2? -4 What is 1 + -1 + 7 - 7? 0 What is the value of 3 - 4 - (3 - (0 - -5))? 1 What is (52 - 23 - 21) + 1 + -4? 5 3 - ((5 - 2 - 3) + -2) 5 What is the value of 2 - -6 - (8 - 4)? 4 Calculate (4 + -2 - 1) + -3. -2 What is the value of -4 + -1 - (0 - 3) - -11? 9 Evaluate 0 + 6 + -16 - -13. 3 Calculate 1 + 0 - (2 + -7). 6 What is -1 - (-1
{ "pile_set_name": "DM Mathematics" }
between 11:58 AM and 12:38 PM? 40 How many minutes are there between 4:58 AM and 5:47 AM? 49 What is 641 minutes before 11:06 PM? 12:25 PM How many minutes are there between 1:14 PM and 12:44 AM? 690 What is 616 minutes after 9:26 PM? 7:42 AM How many minutes are there between 3:48 AM and 1:31 PM? 583 How many minutes are there between 2:35 AM and 11:25 AM? 530 What is 171 minutes after 4:34 PM? 7:25 PM How many minutes are there between 5:45 AM and 2:13 PM? 508 What is 504 minutes after 9:40 AM? 6:04 PM How many minutes are there between 7:01 PM and 6:30 AM? 689 How many minutes are there between 3:00 AM and 10:36 AM? 456 What is 414 minutes before 4:00 AM? 9:06 PM What is 293 minutes after 6:31 AM? 11:24 AM How many minutes are there between 2:49 AM and 11:16 AM? 507 What is 520 minutes after 3:44 AM? 12:24 PM How many minutes are there between 5:43 PM and 1:20 AM? 457 What is 664 minutes before 9:14 PM? 10:10 AM What is 505 minutes before 9:31 PM? 1:06 PM What is 423 minutes before 2:59 PM? 7:56 AM How many minutes are there between 12:24 PM and 12:59 PM? 35 How many minutes are there between 4:41 PM and 4:36 AM? 715 What is 706 minutes before 10:22 AM? 10:36 PM How many minutes are there between 11:22 AM and 10:05 PM? 643 What is 158 minutes after 11:27 PM? 2:05 AM How many minutes are there between 4:02 AM and 10:47 AM? 405 How many minutes are there between 2:10 PM and 10:20 PM? 490 What is 295 minutes after 11:37 PM? 4:32 AM What is 445 minutes after 11:15 AM? 6:40 PM What is 289 minutes after 5:41 PM? 10:30 PM What is 254 minutes after 3:47 AM? 8:01 AM How many minutes are there between 7:26 AM and 4:14 PM? 528 What is 354 minutes after 8:40 AM? 2:34 PM What is 680 minutes after 11:26 AM? 10:46 PM How many minutes are there between 3:04 AM and 10:41 AM? 457 What is 707 minutes before 10:39 PM? 10:52 AM What is 693 minutes before 9:00 PM? 9:27 AM How many minutes are there between 6:22 AM and 10:33 AM? 251 How many minutes are there between 6:52 PM and 10:50 PM? 238 What is 260 minutes before 5:50 PM? 1:30 PM How many minutes are there between 12:49 PM and 4:03 PM? 194 What is 244 minutes after 9:54 PM? 1:58 AM How many minutes are there between 9:38 PM and 6:56 AM? 558 How many minutes are there between 9:18 PM and 8:02 AM? 644 What is 376 minutes before 11:41 AM? 5:25 AM What is 386 minutes after 12:16 AM? 6:42 AM What is 667 minutes after 2:50 AM? 1:57 PM How many minutes are there between 6:11 PM and 5:56 AM? 705 How many minutes are there between 5:26 PM and 10:35 PM? 309 What is 560 minutes after 5:40 AM? 3:00 PM What is 391 minutes after 9:19 PM? 3:50 AM What is 359 minutes after 6:44 AM? 12:43 PM How many minutes are there between 8:03 AM and 9:39 AM? 96 What is 154 minutes before 3:42 AM? 1:08 AM What is 669 minutes after 10:07 AM? 9:16 PM How many minutes are there between 8:54 PM and 6:24 AM? 570 How many minutes are there between 8:24 PM and 4:18 AM? 474 How many minutes are there between 6:39 PM and 9:04 PM? 145 How many minutes are there between 10:04 PM and 12:56 AM? 172 What is 244 minutes before 3:16 AM? 11:12 PM What is 418 minutes after 12:21 AM? 7:19 AM How many minutes are there between 7:35 PM and 11:18 PM? 223 How many minutes are there between 7:52 AM and 8:02 AM? 10 How many minutes are there between 2:39 PM and 11:34 PM? 535 How many minutes are there between 9:23 PM and 9:42 PM? 19 How many minutes are there between 10:26 AM and 9:12 PM? 646 How many minutes are there between 9:22 AM and 1:56 PM? 274 How many minutes are there between 8:34 AM and 3:38 PM? 424 What is 446 minutes before 11:26 AM? 4:00 AM How many minutes are there between 10:35 AM and 9:21 PM? 646 How many minutes are there between 8:22 AM and 8:21 PM? 719 What is 528 minutes after 8:36 AM? 5:24 PM What is 283 minutes after 5:43 PM? 10:26 PM How many minutes are there between 4:58 PM and 5:38 PM? 40 How many minutes are there between 2:31 AM and 12:38 PM? 607 How many minutes are there between 8:51 AM and 10:27 AM? 96 How many minutes are there between 12:05 AM and 12:58 AM? 53 How many minutes are there between 2:28 AM and 11:31 AM? 543 How many minutes are there between 5:23 PM and 1:34 AM? 491 How many minutes are there between 5:35 AM and 4:02 PM? 627 What is 289 minutes after 5:14 AM? 10:03 AM How many minutes are there between 6:36 AM and 4:00 PM? 564 How many minutes are there between 11:37 PM and 2:43 AM? 186 What is 39 minutes before 4:57 PM? 4:18 PM How many minutes are there between 5:02 PM and 4:33 AM? 691 How many minutes are there between 5:04 PM and 7:59 PM? 175 What is 583 minutes after 8:15 PM? 5:58 AM What is 667 minutes before 8:42 AM? 9:35 PM How many minutes are there between 6:23 PM and 9:45 PM? 202 What is 432 minutes before 2:33 PM? 7:21 AM What is 63 minutes before 7:37 PM? 6:34 PM How many minutes are there between 10:44 PM and 4:21 AM? 337 How many minutes are there between 9:39 PM and 4:04 AM? 385 What is 63 minutes after 12:10 PM? 1:13 PM How many minutes are there between 11:25 PM and 2:17 AM? 172 How many minutes are there between 3:16 PM and 6:40 PM? 204 How many minutes are there between 12:27 AM and 5:48 AM? 321 How many minutes are there between 5:40 PM and 10:57 PM? 317 How many minutes are there between 1:43 PM and 7:37 PM? 354 How many minutes are there between 11:03 PM and 4:26 AM? 323 How many minutes are there between 6:17 AM and 4:40 PM? 623 How many minutes are there between 9:32 AM and 10:32 AM? 60 What is 240 minutes before 6:06 AM? 2:06 AM How many minutes are there between 7:30 PM and 5:18 AM? 588 What is 617 minutes after 3:02 AM? 1:19 PM What is 605 minutes after 6:06 AM? 4:11 PM What is 36 minutes after 9:11 AM? 9:47 AM How many minutes are there between 1:56 PM and 8:52 PM? 416 How many minutes are there between 8:27 PM and 12:37 AM? 250 How many minutes are there between 9:44 AM and 9:46 AM? 2 What is 429 minutes after 4:55 PM? 12:04 AM What is 217 minutes before 1:38 PM? 10:01 AM What is 524 minutes after 9:45 PM? 6:29 AM How many minutes are there between 5:48 PM and 1:14 AM? 446 How many minutes are there between 8:15 PM and 7:12 AM? 657 How many minutes are there between 5:41 AM and 12:35 PM? 414 How many minutes are there between 12:22 AM and 6:53 AM? 391 How many minutes are there between 3:19 AM and 1:55 PM? 636 What is 331 minutes before 2:24 AM? 8:53 PM How many minutes are there between 11:23 PM and 8:42 AM? 559 How many minutes are there between 9:14 PM and 5:48 AM? 514 How many minutes are there between 3:53 AM and 5:15 AM? 82 What is 432 minutes before 12:40 AM? 5:28 PM How many minutes are there between 9:32 AM and 4:10 PM? 398 How many minutes are there between 1:04 PM and 11:09 PM? 605 How many minutes are there between 7:55 AM and 10:19 AM? 144 What is 128 minutes after 4:28 PM? 6:36 PM How many minutes are there between 9:30 PM and 9:25 AM? 715 What is 321 minutes after 6:52 PM? 12:13 AM What is 547 minutes after 11:55 PM? 9:02 AM What is 444 minutes after 8:15 AM? 3:39 PM What is 345 minutes after 7:16 AM? 1:01 PM What is 557 minutes after 5:10 PM? 2:27 AM How many minutes are there between 7:45 PM and 8:04 PM? 19 What is 115 minutes before 8:59 AM? 7:04 AM How many minutes are there between 7:14 AM and 10:07 AM? 173 How many minutes are there between 1:11 AM and 9:55 AM? 524 How many minutes are there between 12:43 AM and 5:20 AM? 277 What is 553 minutes after 2:45 PM? 11:58 PM How many minutes are there between 2:11 AM and 11:10 AM? 539 How many minutes are there between 11:13 AM and 11:40 AM? 27 What is 703 minutes before 11:32 AM? 11:49 PM What is 539 minutes before 2:25 AM? 5:26 PM What is 394 minutes before 4:51 AM? 10:17 PM What is 145 minutes before 6:30 AM? 4:05 AM What is 53 minutes after 2:50 AM? 3:43 AM How many minutes are there between 9:14 AM and 11:22 AM? 128 How many minutes are there between 11:24 AM and 10:57 PM? 693 What is 492 minutes before 9:38 PM? 1:26 PM How many minutes are there between 3:02 AM and 10:05 AM? 423 How many minutes are there between 2:01 PM and 4:18 PM? 137 What is 317 minutes before 7:21 PM? 2:04 PM What is 6 minutes after 9:03 AM? 9:09 AM What is 402 minutes before 5:32 PM? 10:50 AM What is 52 minutes before 5:26 AM? 4:34 AM W
{ "pile_set_name": "DM Mathematics" }
g(v). -19 Let c(m) = m**3 - 2*m + 2*m + 3*m**2 - 2. Let n(r) = 2*r**3 - 83*r**2 + 41*r - 4. Let p be n(41). Calculate c(p). -18 Let v(y) = -158 + y + 77 + 86 - 4*y. Calculate v(7). -16 Let p = 881 - 878. Let z(s) = 4*s - 11. Give z(p). 1 Let u(d) = d - 8. Let y(h) = -4*h**3 + 7*h**2 + 5*h + 4. Let r(i) = -i**3 - i. Let p(k) = -5*r(k) + y(k). Let s be p(-5). Give u(s). -4 Let m(t) be the third derivative of t**6/120 + 11*t**5/60 - 11*t**4/24 + 13*t**3/6 - 35*t**2 - 11*t. Calculate m(-12). 1 Let o(i) = -2*i + 93831 + 4*i - 93817. Determine o(-10). -6 Let g(k) = -k**2 + 8*k + 1. Let d be g(8). Suppose 3*u = 22 - 4. Let m(w) = -u*w**3 + 0*w**2 + 52*w + w**2 - 53*w. Give m(d). -6 Let h(x) be the second derivative of x**5/20 - 7*x**4/12 - 4*x**3/3 - 7*x**2/2 + 271*x. Determine h(8). -7 Suppose -6 = -5*z + 9. Let q(l) be the second derivative of 6*l + 0 + 1/2*l**2 + 1/20*l**5 - 1/4*l**4 + 0*l**3. Calculate q(z). 1 Let r(i) = i**3 - 26*i**2 + 27*i + 37. Let p(n) = n**2 - 3*n + 3. Let h(w) = -2*p(w) - r(w). Calculate h(23). 3 Let l(q) = q - 1. Let d(k) = k - 5. Let o(y) = 4*d(y) - 3*l(y). Determine o(0). -17 Let z(l) be the first derivative of -2*l**3/3 - 43*l**2/2 - 20*l - 373. Give z(-21). 1 Let k(n) be the first derivative of 0*n**3 - 1/2*n**2 + 6*n - 5 - 1/3*n**4. Let m(i) be the first derivative of k(i). Determine m(2). -17 Let c(g) = -8*g + 15. Let u = -1 + 8. Let y(x) = 7*x - 14. Let a(p) = u*y(p) + 6*c(p). Suppose 2*l = o - 15, o - 25 = -3*o + l. Calculate a(o). -3 Let a(b) = 13*b**2 + 2*b - 1. Suppose -3*r + 4*r - 5*k = 6, -10 = -5*r + 5*k. Calculate a(r). 14 Suppose 3*f - 3 - 28 = -4*n, 2*n = -4*f + 28. Let p(z) = -z**3 + 4*z**2 + 8*z - 4. What is p(f)? 11 Let u(x) = -5 - 3*x**2 - x**2 - x**3 + 2*x**3 + 3*x + 9*x**2. Let s be 4/8*(-9 - -1). Let c be u(s). Let v(z) = 6*z**2 + 1. What is v(c)? 7 Let o be (2 + (-13)/6)*3/(-2). Let v(f) be the first derivative of -6 - o*f**4 + 3*f**2 - 4/3*f**3 - 5*f. Calculate v(-5). -10 Let y(a) = -a**3 - 18*a**2 + 11*a - 157. Let i be y(-19). Let l(p) = 4*p - 3. Give l(i). -23 Let i(s) = 413*s**2 + 5*s - 832*s**2 + 418*s**2 - 3. Give i(3). 3 Let k(m) = m - 10. Let i(p) = -p + 8 - 3*p - 26 - 6. Let f be i(-6). What is k(f)? -10 Let m(j) = -2*j - 1. Let k(v) = -21 + 18*v**2 + 23 - v**3 + 5*v - 17*v**2. Let n be -4*(-1)/(4/3). Let c be k(n). Give m(c). 1 Suppose 4*m = -m + 35. Suppose m*v - 2*v - 8 = -3*r, -3*v = -3*r. Let n(x) = 2 - v + 4*x**2 + 4 - 3*x - 2 - x**3. Determine n(3). 3 Let b = 57 - 33. Let j be (-5)/((-15)/(-6)) + b. Suppose 4*v - 26 = -j. Let w(n) = 8*n**2. What is w(v)? 8 Let d be 1*42/22 + ((-796)/(-44) - 18). Let t(o) = -o**2 - o. Let x(q) = q - 2. Let h(f) = -t(f) - x(f). Give h(d). 6 Let x be (-27)/(-9) - 10 - -2. Let f(s) = -s + 5. Let b be f(4). Let a(k) = -k + 1 + 3*k + b. Calculate a(x). -8 Suppose -1 = 5*h + 4. Let f(y) = -15*y + 3. Let s(d) = -5*d - 18. Let k be s(-3). Let n(b) = -b + 1. Let j(a) = k*n(a) + f(a). Give j(h). 12 Let y be ((-440)/(-40))/(1 + -1 - 1). Let p(r) = r - 7. Determine p(y). -18 Let o(a) be the third derivative of -a**6/120 + a**5/60 - a**4/24 + a**3/6 + 2*a**2 + 44*a. What is o(3)? -20 Let o(p) = p. Let g(v) = 5*v - 14. Let i(s) = -g(s) + 4*o(s). Suppose 12 = -2*n + 5*n. Suppose -n*k + 36 = 2*k. Give i(k). 8 Suppose 4*g - 19 + 19 = 0. Let w(r) = 3*r - 9. Calculate w(g). -9 Let u = 15 - 10. Let h be 3/(((-15)/(-6))/u). Let l(v) = -v**3 + v**2 + v - 1. Let x(q) = 5*q**3 - 6*q + 1. Let k(w) = -6*l(w) - x(w). Calculate k(h). 5 Let i(v) = 9*v**2 + 2*v + 1. Suppose -4*s + 10 = s. Suppose 0 = s*a + 8, -3 = j + 2*a + 6. What is i(j)? 8 Let w(r) = -r - 163*r**2 + 80*r**2 + 79*r**2. Suppose 3*b - 25 = -2*b. Suppose -f + b*f + 4 = 0. Give w(f). -3 Let z(h) = 3*h**3 + 24 + 3*h**2 - 2*h + 3 - 25. Calculate z(2). 34 Suppose 2 = n - 0*n. Let b be 2 - (n - 0)*-1. Let d(w) = 2*w. Give d(b). 8 Suppose 0*m + 95 = -5*m. Let x = -19 - m. Let v(d) = -3*d + 8. Let j(t) = 7*t - 17. Let k(p) = 2*j(p) + 5*v(p). Give k(x). 6 Let g(j) = j**2 - 16*j + 2. Let a be g(16). Suppose -t + a = i + 6, 0 = -2*i - 3*t - 9. Let d(w) = -w**3 - 3*w**2 + 3*w + 4. Give d(i). -5 Suppose -b - 4*t = -4 + 3, 4*t + 24 = 4*b. Let p(i) = -4*i**2 - i + 21. Let v(x) = -x**2 + 5. Let r(q) = 2*p(q) - 9*v(q). Give r(b). 12 Let z(a) = a**3 - 4*a**2 - 9*a + 5. Suppose 0 = -3*d + 8*d + 270. Let x = -48 - d. Give z(x). 23 Let i(h) = -3*h + 3 - 4*h - 6*h + 2. Let d(n) = 19*n - 7. Let k(g) = 5*d(g) + 7*i(g). Let v be ((-12)/(-8))/(1/(14/(-21))). Determine k(v). -4 Let d(v) = -v**2 + 10*v + 12. Let f = -151 - -162. What is d(f)? 1 Let q(y) = -99 - 5*y - 95 - 95 + 284. Determine q(6). -35 Let f(u) = 11*u + 7. Let y(l) = -22*l - 18. Let x(c) = 5*f(c) + 2*y(c). Let o(r) = -r**3 - 3*r**2 + 1. Let a be o(-3). Determine x(a). 10 Let t be 0/(-3 - -1) - 4 - -26. Suppose 0 = 4*c - 5*k + 43 - 0, c - 3 = 4*k. Let r = c + t. Let x(w) = -2*w + 6. Give x(r). -4 Suppose 6*w - 3*w - 9 = 0, -3 = 3*u - 3*w. Let f(p) = 0*p**2 - p - u*p + p**2 - 5*p + 5. Suppose -6*l - 16*l + 154 = 0. Give f(l). -2 Let s(z) = z**3 + 2*z**2 + z + 1. Let k = 18 + -26. Let y = -6 - k. Let p be -2 + -3 + 1 + y. Determine s(p). -1 Let t be 6/(-9) + (-8)/(-3). Suppose -21 = -t*b - b. Let d(i) be the second derivative of i**3/6 - 8*i**2 + 4*i + 235. Determine d(b). -9 Let w(c) = 3*c**2 + 2*c - 1. Let m(d) = -14*d**2 + d + 10. Let v(h) = -m(h) - 5*w(h). Let g = -4 + 0. What is v(g)? 23 Let m be (4 - 2 - 1)/(1/2). Let s(p) = -m*p + 14*p + p. Determine s(-1). -13 Let v(b) be the second derivative of -b**5/20 + 11*b**4/12 - 11*b**3/6 + 5*b**2 - 21*b. Let f be v(10). Let r(k) = k + 12. What is r(f)? 12 Let u be 1 - (-1)/(-2)*4. Suppose 32 - 12 = 4*s - 4*m, -2*s - 3*m = 10. Let l(i) = -s - 602*i + 602*i - 3*i**3. Determine l(u). 2 Suppose -38*x + 115 + 151 = 0. Let h(s) = -4*s - 7. Give h(x). -35 Let c(z) = z**2 + z - 2. Let f be c(2). Let v(t) = 2*t**2 + 6*t + 9. Let g(y) = -3*y**2 - 7*y - 11. Let n(s) = 3*g(s) + 4*v(s). What is n(f)? -1 Suppose -5*a - 340 = -0*o - 5*o, 3*o = 5*a + 196. Suppose 0 = 17*h - 13*h - o. Suppose v + 5*v = h. Let w(n) = n - 1. Calculate w(v). 2 Let g = -110 + 112. Let q(w) = -26*w**g + 11*w**2 + 2 + 5*w + 11*w**2 + w**3 + 10*w**2. Give q(-5). 2 Let l be (3 + -3)/(1 + -3). Let o(u) = -u + 3*u + 1 + l*u. Let t = -7036 - -7042. What is o(t)? 13 Let n(d) = -d**2 - 28. Let w(v) = -v + 6. Let k(g) = -n(g) - 4*w(g). Suppose 6*b - 3*b + 15 = 0. Calculate k(b). 9 Let h(i) = 3*i - 261 - 2*i**2 - 5*i + 8*i**3 - 10*i**3 + 260. Calculate h(-2). 11 Let p = 643 + -634. Let m(o) = o - 4. Calculate m(p). 5 Let z(q) = q**2 - 8*q + 5. Suppose 0 = 5*t - 5*n - 20, 5*t - 4*n - 24 = -3*n. Give z(t). -10 Let p(l) = 3*l - 33. Let d be p(12). Let s(y) = y. Give s(d). 3 Let q(w) = 2*w + 0*w - 4*w - 1. Let g be q(2). Let j(n) = 5 + 3*n - 2*n + 2. Calculate j(g). 2 Let u(q) = -5*q - 2. Let i(j) = -5*j - 2. Let d(k) = -5*i(k) + 4*u(k). Give d(-2). -8 Let t be -7 - (-1 + 7 + -14). Let g(p) = -28*p**2 + 2*p - 2. Give g(t). -28 Let m(s) = -2*s - 2 + 3*s + 0. Suppose 5*u = -10, -3*h + 21 = -5*u - 4. What is m(h)? 3 Suppose -6 = -4*h - 4*r - 14, 4 = -4*r. Let o(n) = -8*n - 1. What is o(h)? 7 Let d(h) = 4*h**3 - 10*h**2 + 7*h. Let t(b) = -3*b**3 + 1 - 5*b**2 + 17*b**2 + b - 8*b - 3*b**2. Let m(f) = 2*d(f) + 3*t(f). Calculate m(6). -3 Suppose -7*i = -i + 366. Let f = i + 68. Let a(s) = -s**3 + 7*s**2 - s + 2. Give a(f). -5 Let y(d) be the third derivative of d**6/120 + d**5/60 - d**3/6 - 35*d**2 - 2. Determine y(0). -1 Let c(h) = 4*h - 17. Let t be (-20)/(-25) - (-234)/45. What is c(t)? 7 Let c = -4 + 6. Let m = -127 - -129. Let k(s) = -m*s - c - 5 + s. What is k(-4)? -3 Let y(j) be the third derivative of j**5/120 + j**4/8 - j**3/2 + 2*j**2. Let a(h) be the first derivative of y(h). Calculate a(-4). -1 Let r(h) = -4*h - 9. Let s be r(-4). Let b = -2 - s. Let d be 6/b + 2/(-6). Let z(g) = -9*g**3 - 1. Give z(d). 8 Let h be (0 - -2)/(7/7). Let c(g) = h*g - g**2 + 2*g + 2*g**2 - 2 - 5*g**2. Suppose -17 - 3 = 5*u, 0 = 4*s - 2*u - 16. Determine c(s). -10 Let n(y) = y**2 + 4*y + 5. Suppose 0 = -2*j - 3*x - 15, 10 = -2*j - 4*x + 2*x. Suppose j = w - 0*w. Suppose -b - 4 = -w. Give n(b). 5 Let k(m) = -3*m**2 - 2*m - 3. Let g(i) = i**2 + i. Let y(u) = 2*g(u) + k(u). Let r be (4 - 2 - -2
{ "pile_set_name": "DM Mathematics" }
to g*f + r + a*f**2 and give a. 11 Rearrange (2 - 3*k**2 + 120*k + 18*k**2 - 118*k)*(-3*k**2 + 3*k**2 + 2*k**2) to the form j*k**2 + m*k**4 + t*k + l + y*k**3 and give l. 0 Express (1 + 3 + 1)*(-25 - 24 + 47 - 13*w) in the form k*w + i and give i. -10 Rearrange -4*o**2 + 0*o + 1 + 5*o + 3*o**4 - 5*o to the form i + j*o**2 + u*o + z*o**3 + f*o**4 and give j. -4 Express -o + 6*o**2 - 19*o**2 + 10*o**2 in the form q*o**2 + s + l*o and give q. -3 Rearrange 29 + t**2 - 60 + 18*t + 33 + 2*t**3 to r*t**2 + l*t**3 + h*t + a and give r. 1 Express -3*v - 7*v + 5*v as h + n*v and give n. -5 Express 16*g**2 - 15*g**2 + 5*g**3 - 4*g**3 in the form o + v*g**2 + n*g**3 + h*g and give n. 1 Rearrange (3*i**2 - i**2 - 84*i + 1 + 87*i)*(4*i + i - 4*i) to y*i**3 + r*i**2 + w*i + m and give y. 2 Rearrange -3*u**2 - 3 + 0*u**2 + 3*u**3 - u + 4*u**2 to the form o*u**2 + l + g*u + f*u**3 and give o. 1 Rearrange (-1 - 2*h - 1 + 4)*(-17 - 9 + 5) to the form l + c*h and give l. -42 Express -4 + 9300*c + 1 - 9295*c + 2 - c**3 as f + r*c**2 + t*c**3 + x*c and give t. -1 Express (1 + 1 - 4)*(2*s - s - 3*s) + 387 + 25*s - 387 in the form i*s + q and give i. 29 Express 0*z**3 - 3*z**3 + 2*z**3 - 7 + 0*z**3 + z**4 + 2*z**2 in the form f*z**4 + x*z + y*z**2 + o + d*z**3 and give d. -1 Express -18*k**3 + 16 + 30*k**3 - 13*k**3 in the form x + p*k**3 + r*k**2 + o*k and give x. 16 Rearrange u**3 - 4*u**3 + 2*u**3 + 0*u**3 - u**2 to b + r*u**3 + m*u + f*u**2 and give m. 0 Express (-6*k**2 - 3*k**2 + 4*k + 11*k**2)*(1 + 0 - 3) as v + q*k + u*k**2 and give u. -4 Express 0 + 0 - 61*c + 205*c as q + h*c and give q. 0 Rearrange (4 - 2 - 4)*(3 - 3 - 4*n**2) - 6 - 3*n**2 + 6 + (-4*n + 4*n - 2*n**2)*(-4 + 0 + 5) to o + k*n + u*n**2 and give u. 3 Express -s**3 + 2*s + 0*s - 4*s**3 + 4*s**3 + 3*s**2 in the form c*s**2 + d*s**3 + b*s + j and give b. 2 Rearrange (-8*y + 9*y + 8*y)*(0 + 0 - 1)*(-3*y + 0*y - y) to the form u*y**2 + s + r*y and give u. 36 Rearrange (-q - q + 25*q)*(0*q - 4*q + q) to v + w*q + h*q**2 and give h. -69 Express -k**2 + 4*k**2 + k**3 - 2*k + 8*k as z*k + u + r*k**2 + p*k**3 and give r. 3 Express 63*o**2 - 1 + 2*o**3 - 33*o**2 + o - 27*o**2 in the form z*o + n*o**3 + t + m*o**2 and give m. 3 Express 11 + 0*n + 59*n - 11 in the form a + t*n and give t. 59 Rearrange (-3*w + 58 - 56 - 4*w)*(-3 + 4 + 1) to the form z*w + b and give z. -14 Express 2*l**4 - 22 - 20 - 2*l**2 + 43 + 10*l**3 in the form z + t*l**4 + y*l**2 + b*l + s*l**3 and give t. 2 Rearrange ((-4 + 4 - 1)*(-2*c + 6*c - 2*c) - 5*c + 25 - 131 + 4*c)*(-4 + 2 + 3) to y*c + u and give u. -106 Rearrange -p + 2*p - p - 75*p**2 to b*p + k*p**2 + y and give k. -75 Rearrange 3*q - 3*q + 2*q + 2*q + q - q + 4*q + q - 3*q + (4 + 1 - 4)*(-4*q - q + 3*q) + 1 - q - 1 + 0*q - 5*q + 8*q to the form b + v*q and give v. 6 Rearrange (-27*x**3 - 56*x**3 + 46*x**3)*(-5*x + x + 2*x)*(-1 + 3 - 1)*(3 - 2 + 1) to the form z*x**4 + q + r*x + k*x**2 + g*x**3 and give z. 148 Rearrange (3 - 3 - 2*g + (-11*g + 2*g + 5*g)*(3 - 4 - 1))*(-3 + 2 + 2)*(-1 - 3 + 3) to z + l*g and give l. -6 Express (-2 + 1 + 3)*(-g**2 + 3*g**2 + 0*g**2) - 93*g + 93*g + 2*g**2 as h*g**2 + s + d*g and give h. 6 Express (3 - 2 + 0)*(3 - 4 - 13)*(4 - 1 - 6)*(-2*q - 4*q + 5*q) in the form m + n*q and give n. -42 Express (-3*c + c + 4*c)*(-7 + 0*c + 19*c + 8) + c**2 + 3*c - 3*c as j*c**2 + i + b*c and give b. 2 Express -2*s + 16*s**2 + 7*s**2 - 26*s**2 in the form l + d*s**2 + v*s and give v. -2 Rearrange (2*m**4 - 20*m**3 + 20*m**3)*(2 - 3 - 2) to the form p + o*m**2 + n*m**4 + k*m + t*m**3 and give n. -6 Rearrange 17*d + 16*d - 38*d to the form c*d + f and give c. -5 Rearrange 2*z**3 + z**4 + 0*z**2 + z**3 + 2*z**2 to l*z**3 + s*z**2 + y*z + x*z**4 + g and give x. 1 Rearrange (-18 - 11*l + 18)*(0*l - 2*l + l) + (-3 + 0 + 1)*(-3*l**2 + 0*l**2 + 4*l**2) to r*l + o + w*l**2 and give r. 0 Express (-5 + 0 + 3)*(-2 + 1 + 0)*(6*a + 17 - 17) + 3*a - 2*a - 2*a + (0 - 2 + 3)*(a + 2*a - a) in the form w*a + k and give w. 13 Rearrange -2*w - 7*w**3 + 0*w**3 - 199 - 2*w**2 + 201 to the form u*w**3 + h*w + x*w**2 + q and give u. -7 Express -3*v**2 + 561 + v**2 - v**3 - 559 - 7*v in the form i*v**3 + a*v + w + j*v**2 and give i. -1 Rearrange (22*k - 6*k + 21 - 15*k)*(-2 - 2*k + 2) to i*k**2 + s + a*k and give a. -42 Rearrange 6*p - 2*p - 4*p - 12*p**3 + 3 to the form q*p**3 + a*p**2 + v + w*p and give q. -12 Rearrange (4*y + 0*y - 3*y - 3*y + y + 3*y + 2*y - 2*y - 3*y + (-2 - y + 2)*(3 - 2 + 1) - 4*y + 5*y + y)*(0 - 1 - 1) to f*y + w and give f. 2 Rearrange (5 + 1 - 4)*(p**2 - 3*p**2 + 3*p**2) + 2*p**2 - 2*p**2 + p**2 + (0*p - 2*p + 14*p)*(1 - 1 + 2*p) to the form i*p**2 + t*p + w and give w. 0 Rearrange -7*b - 7*b + 2*b**4 + 30*b - 2*b**3 to h + a*b**3 + p*b + w*b**2 + d*b**4 and give a. -2 Rearrange ((-5 + 1 - 1)*(4*d - 2*d - 4*d) + (0*d - d + 0*d)*(1 - 2 + 2))*(-d + 0 + 0) to the form i + s*d**2 + w*d and give s. -9 Express (0 + 0 - 2*v)*(-6 - 5 - 3)*(v - 2*v + 2*v) as j + a*v**2 + r*v and give r. 0 Rearrange 11*a**2 + 5*a**2 - a**3 + 2*a - 14*a**2 + (-a - 3 + 3)*(-a**2 + 0*a**2 - a**2) - 4 + 4 + 3*a**3 to the form h*a**2 + n*a + x + f*a**3 and give f. 4 Rearrange (-2*c + 2 - 2)*(3 + 0 - 2) - 3 + 3 - 2*c + 6*c + 16*c - 4*c to g + d*c and give g. 0 Express 338*v + v**3 + 0*v**4 - 2*v**2 + v**4 - 1 - 345*v as t*v**4 + u*v**3 + z*v + g + h*v**2 and give z. -7 Rearrange 7*t + 3*t**2 + 4*t - 13*t to the form q + i*t**2 + y*t and give i. 3 Rearrange (0*d - 5 + 2*d + 6)*(19*d + 21*d - 7*d)*(5 + 2 - 5) to s*d**2 + c + a*d and give a. 66 Express (-1 - 3 + 3)*((0*r + r - 2*r)*(-r - r**2 + r) - r**2 + r**2 + r**3 + 3*r**3 + 5*r**3 + 2*r**3) in the form x + l*r**2 + z*r + c*r**3 and give c. -12 Rearrange 2*h**4 - 5*h**3 + 2*h**3 - 2*h**2 + 3*h**2 + 4*h**3 to the form x*h + m*h**2 + v + d*h**3 + g*h**4 and give d. 1 Express (-2*p + 5*p + 0*p)*(-6 + 8 + 8) as f + k*p and give k. 30 Rearrange l**2 - l**2 - l**2 + 6*l**2 + 5*l to the form g*l**2 + y + w*l and give w. 5 Express (-8 + 8 + 8)*(-4 + 4 + 3)*(t**3 + 5*t**3 - 4*t**3) in the form c*t**3 + w + u*t + v*t**2 and give c. 48 Express -a + 4 - a**4 - 2*a**2 + 2 + 2*a**3 - 8 in the form h*a**3 + w*a**4 + p*a**2 + c + f*a and give h. 2 Rearrange -2*k**3 + 6 - 2*k**2 - 6 + (2 + 2*k**2 - 2)*(-4 + 4 - 2*k) to the form x*k**2 + h*k**3 + y + j*k and give h. -6 Rearrange (2*h - 3*h - 2*h - 2 + h + 2 + (3*h + 0*h - h)*(1 - 2 - 1) - 2*h + 0 + 0)*(1 + 0 + 0) to the form z*h + a and give a. 0 Express -3 - 2*w + 3 + (-3 + 2*w + 3)*(0 + 3 - 5) + (-1 + 2 - 2)*(-19*w - 81*w - 2*w) as b + l*w and give l. 96 Rearrange -10*z - z + 5*z - 6*z to n*z + c and give c. 0 Express 45*n + 0*n - 17*n in the form b*n + g and give b. 28 Rearrange (0 + 2 + 6)*(0*z**3 + 4*z**3 - 6*z**3)*(-z + 3*z - z) to the form w + x*z**4 + y*z + v*z**2 + t*z**3 and give x. -16 Rearrange -5*z + 10*z + 21*z - 2*z to r + l*z and give l. 24 Express -5*s**2 - 2*s**2 - s**2 + s**2 as c*s + i + w*s**2 and give w. -7 Rearrange 0*n**2 - n - n**2 + 2*n**2 - n to the form w*n**2 + y*n + u and give w. 1 Rearrange -2*k**2 + 0*k**3 - k**3 - 2 + k**4 - 5*k**4 to v*k**4 + q*k**2 + h*k + c*k**3 + z and give c. -1 Rearrange (2*o - 4*o + 0*o)*(-1 + 0 + 0)*((2 - 1 + 2)*(4 - 6 - 7) + 0 + 2 + 0) to h + j*o and give j. -50 Rearrange (l - 3 + 3)*(88 - 26 - 18) to the form p*l + z and give p. 44 Rearrange v**3 + 99 + 21*v**3 + 14*v**3 - 101 to the form f*v**2 + a*v + q*v**3 + y and give a. 0 Express -8*w**3 - 2 + 3*w - w + 2*w**4 + 8*w**3 - w**3 in the form c*w**3 + a + t*w + m*w**2 + f*w**4 and give c. -1 Rearrange (y**2 - 3*y**2 + y**2)*(-48 + 18 - 21) to the form a + c*y + s*y**2 and give s. 51 Express (2 - 8 + 7)*(4 - 1 - 2)*(-t + 5*t - 3*t) as p + w*t and give w. 1 Express (4*h + 0 + 0)*(-6 + 2 - 1) - 2*h + 3*h - 3 - 3 as x + p*h and give p. -19 Rearrange 38*x**4 + 0 + 0 + 1 - 36*x**4 + 3*x**2 to f*x**3 + d*x + i + l*x**4 + j*x**2 and give l. 2 Rearrange (-38 + 38 - q**2)*(2*q - q**2 - 2*q)*(4 + 0 - 6) to y*q**2 + t*q**4 + b + n*q**3 + u*q and give t. -2 Express -3*u**2 - u + 10*u**3 + 0*u**3 - 2*u**4 - 7*u**3 + 1 as l*u**3 + k*u + d*u**2 + y + i*u**4 and give y. 1 Rearrange 10 - 80*r - 14 + 4 to y + m*r and give m. -80 Express v + 0*v - 4 + 10 - 4 as s + j*v and give j. 1 Express (-1 - 5 + 4)*(0 - 2
{ "pile_set_name": "DM Mathematics" }
+ 18. Let o be k(-8). What is the common denominator of (-84)/20 + 4 - o/(-540) and -137/12? 108 Let l = -21 - -32. Suppose -5*o = -3*m - 32, 2*o = -5*m + 4*o - 85. Let c = 21 + m. Calculate the lowest common multiple of l and c. 22 Suppose -3*y - v = 427, 15*y - 19*y + 3*v = 578. Let h = y + 169. Find the common denominator of 48/7 and h. 7 Let d be 2/(21/14 - 1). Let c be (-13)/(-5) - 4/(-10). Suppose -c*o + 5*k = -86 + 6, 3*o - 76 = d*k. Calculate the smallest common multiple of 16 and o. 80 Let m = -15150403357/966 + 15683649. Let n = m - 32/21. Find the common denominator of 5/22 and n. 506 Suppose -6*x + x + 92 = 4*c, -c - 3*x = -16. What is the common denominator of (c/(-90))/((-20)/(-330)) and (-16)/4 - 47/(-7)? 105 What is the common denominator of ((-58)/(-25))/((-621)/(-115)) and 1/10? 270 Let p = -5405/246 + -90/41. Let q = -185830/38007 + 2/4223. Find the common denominator of p and q. 18 What is the common denominator of -35/66 and (1157/39)/(1100/(-15))? 660 Let h(m) = 2*m**2 - 3*m - 44. Calculate the lowest common multiple of 21 and h(-7). 525 Suppose -4*z + 3308 + 789 = h, 0 = 4*h + 12. Let p = -20493/20 + z. What is the common denominator of -75/22 and p? 220 Let j be (-4)/(-3) + (-912)/9. Calculate the common denominator of 87/4 and (-1355)/j + 4 + (-1)/(-5). 4 Let j be ((-4)/6)/((-7)/189). Calculate the common denominator of (-20)/j*(-69)/(-8) and (39/(-8))/(3/(-7)). 24 Let d(x) = -x**3 + 31*x**2 - 80*x - 2. What is the lowest common multiple of d(28) and 120? 1320 Suppose 3*p - 904 = -5*g, -2*g + 2*p + 550 = g. Let x = -6396/17 - -63229/170. What is the common denominator of 319/g + (-4)/(-14) and x? 130 Suppose 0 = -4*a - 16, 3*z + z - 5*a + 1108 = 0. What is the lowest common multiple of (-2)/(-13) - z/26 and 5? 55 Calculate the lowest common multiple of -3*40/(-6) - 10/(-5) and (-2)/((-2 - -1)*1). 22 Find the common denominator of (-2 + (-378)/264 + 4)*1 and 26. 44 Let h be ((-3)/(-72))/(5/4678156) + 2. Let s = -38982 + h. Calculate the common denominator of s and 127/30. 30 Suppose -h - 12 = -n, n - 5 = 3*h + 7. Let z(g) = 3*g + 1. Let s(q) = -3*q - 1. Let b(j) = 3*s(j) + 2*z(j). Calculate the least common multiple of b(-5) and n. 84 Let q be 30/(-4)*(-12)/(-15). Let x = -3 - q. Let i(h) = h**2 + 8*h + 22. Calculate the smallest common multiple of i(-5) and x. 21 Let g(d) = 4*d**3 + 5*d + 7. Let u be g(-3). Let h = 126 + u. Calculate the smallest common multiple of 1 and h. 10 Let m(a) = -9*a**2 - 99*a + 2. Calculate the lowest common multiple of m(-8) and 18. 1962 Find the common denominator of ((-954)/(-594))/(6/(-18)) and -79/98. 1078 Find the common denominator of -19/18 and (11/(-216))/((-1098)/2440). 486 Suppose 100 = -x - 2*g + 294, 0 = -4*x - 4*g + 788. Suppose k = f + 265, -x = 5*f - 4*k + 1130. What is the common denominator of -85/8 and (f/(-72))/(1/(-10))? 8 Let x = 44465/16 + -2783. Let i = -147 - -1191/8. Calculate the common denominator of i and x. 16 Let w = -2315/9 - -257. Find the common denominator of -17/45 and w. 45 Suppose -40 = -n + 4*k, -4*n + 0*k + 177 = k. Let f be ((-15236)/n)/((-2)/(-30)). Let l = f - -5198. Find the common denominator of l and 38. 11 Let r(v) = -v - 18. Let x be r(-10). Find the common denominator of -53/9 and 3 - 1 - 35/x. 72 Suppose 2*o - 146 = -128. Calculate the least common multiple of 174 and o. 522 Let r = 45649/84 + -3772/7. Calculate the common denominator of r and -1 - (4888/(-48))/(-13). 12 Let v = -7603348699/23289420 + -2/17467065. Let t = v + 2858/9. Calculate the common denominator of t and 121/10. 60 Let g = 24/155 + -7861/3720. Find the common denominator of g and 21/712. 2136 Let b = -61766 + 865097/14. Let i = 7633/266 - b. Find the common denominator of 35/9 and i. 171 What is the common denominator of 35/12 and ((-43)/44075)/(4/290)? 2460 What is the common denominator of (-4)/((-8)/(-10)) + (-278)/(-80) and -31/5? 40 Let v = 9091705/17138 - -2/8569. Let x = -2707/5 + v. What is the common denominator of 61/16 and x? 80 Suppose -a + 4*i = -5, -2*i + 4 = -2*a - i. Let k be 1 + -2 - (4 - a). Calculate the common denominator of ((-30)/(-100))/(k/(-270)) and -5/18. 72 Let l be (-12)/(-18) - (-179)/(-3). Let x = 119 - l. Let t = x + -1737/10. Find the common denominator of -41/6 and t. 30 Suppose -6*f + 80 = 4*f. Let z(u) = -3 - 6*u**2 + 4 - 8*u - 3*u**2 - u**3. Calculate the lowest common multiple of f and z(-8). 8 Let z = -1288 - -1594. Calculate the smallest common multiple of 36 and z. 612 Let y be (-2)/5*(-10 + 0). Suppose -5*z = 4*w + 31, 6 = y*z - 6*z. Calculate the smallest common multiple of 4 - (w/1)/(-2) and 20. 20 Let k = 21 - 16. Suppose 6*y - k = -l + y, 0 = 5*y. Calculate the lowest common multiple of 7 and (48/(-20))/((-2)/l). 42 Let f be 3/(3/(-24)*3). Let g = 8736/173 - -1/346. Find the common denominator of (f/(-200))/(4/55) and g. 20 Let c = -6 + 10. Let l(b) = b**2 - 3*b - 18. What is the smallest common multiple of l(7) and c? 20 Let d be (8/90)/(4/11560). Let r = 9089/36 - d. Let v = -1453/153 + -1/306. Calculate the common denominator of r and v. 12 Let k be 32/(-8) + (-14)/(-2). Suppose 2*d = -3*z + k*d - 104, 2*z + 74 = -4*d. Let c = z + 40. Calculate the lowest common multiple of c and 5. 5 Suppose 18*f + 40 = 22*f. Calculate the least common multiple of 8 and f. 40 Let r = -37 - -36. Let t be r/6 - (-26)/12. Find the common denominator of 39/4 and (-1976)/(-273) - t/(-6). 28 Let k = 18747/8 + -2338. Calculate the common denominator of 9/40 and k. 40 Let y = 9/254 + 3978/635. What is the common denominator of y and 1/71? 710 Let t(w) = w**2 - 3*w - 2. Suppose -534*i + 1787 + 4621 = 0. Calculate the least common multiple of t(-3) and i. 48 Suppose 3*i + 15*b = 13*b + 62, -4*b = 8. Calculate the lowest common multiple of 7 and i. 154 Let s(f) = -3*f**3 - 1 + 2*f + 0*f**3 + 0 + 2*f**3. Calculate the least common multiple of 14 and s(-3). 140 Suppose 0 = 5*o - d - 574, -2*d = -2*o + 295 - 59. Calculate the smallest common multiple of 33 and o. 1254 Suppose -501 = -4*y + 411. Let p be y/(-1720)*4260/88. Let l = p + 359/43. Calculate the common denominator of l and -5/18. 396 Let i(u) = -u**2 - 19*u + 18. Suppose 25*m = 52 + 98. What is the smallest common multiple of i(-19) and m? 18 Let q be ((-406)/(-4))/(16/(-136)). Let d = 858 + q. Calculate the common denominator of 31/8 and d. 8 Calculate the least common multiple of 20 and (-24)/12 + -4 + 496. 980 Suppose -2*i = -142 - 12. Suppose m - 2*q + 6*q = 23, i = 5*m + q. Calculate the smallest common multiple of m and 12. 60 Let a be 48*(0 - (-128)/(-6)). Let j be a/7670 - (-4)/26. Let q = j - 18019/1180. What is the common denominator of q and -58/7? 28 Suppose -4*w = -5*f - 10, 3*w + 28 = 4*f + 7*w. What is the smallest common multiple of f and 70? 70 Let z(n) = -n**3 - 10*n**2 - 13*n + 4. What is the least common multiple of 84 and z(-9)? 840 Calculate the common denominator of (-17)/275 + 20/250 and -131/70. 770 Let f be (2/4)/(2/24). Suppose 5*k - 50 = 5*i - 10, -4*k - 4*i + 16 = 0. What is the lowest common multiple of k and f*((-2)/2 - -2)? 6 Suppose 2*g - 5*g - 72 = -4*a, g = -4. Let b = 300 - 295. What is the smallest common multiple of b and a? 15 Suppose -3*n = 5*s - 67, -3*n + 2*n + 4*s = -28. Calculate the lowest common multiple of n and -275*8/(-180) + 4/(-18). 24 Suppose -32 - 25 = -3*c + 3*i, -2*c + 43 = 3*i. What is the lowest common multiple of 256 and c? 1280 Let k be (18/(-12))/(3/(-216)). Let p be 3/(k/(-38) - -3). Suppose -13 = -2*z + p. What is the least common multiple of 10 and z? 80 Calculate the least common multiple of 8 and 47/5 + (4/10)/(-1). 72 Suppose 0 = 2*h + h + 87. What is the common denominator of ((-158)/(-4345))/(1/130) and h? 11 Let k = 48519898 + -73750253183/1520. Let n = 3/304 + k. Let r = 6/571 + 23357/5139. Find the common denominator of n and r. 45 Suppose -3*a + p = -41, 2*a - 5*a + 4*p = -56. Suppose 3*j - 22 = -2*h, a*h = -2*j + 10*h + 18. Calculate the least common multiple of j and 4. 4 Suppose -2*t + 4*x = 2*x - 310, -4 = -x. Suppose -6*o + 57 = -t. Calculate the lowest common multiple of 27 and o. 108 Let i(x) = 17*x - 1102. Let s(b) = 11*b**2 + 1. Suppose -3*u + 5 - 2 = 0. Calculate the least common multiple of s(u) and i(66). 60
{ "pile_set_name": "DM Mathematics" }
arest integer? 670 What is 12199035 to the power of 1/2, to the nearest integer? 3493 What is 16550842 to the power of 1/2, to the nearest integer? 4068 What is the seventh root of 18884951 to the nearest integer? 11 What is the square root of 76280 to the nearest integer? 276 What is the tenth root of 662628 to the nearest integer? 4 What is 223354 to the power of 1/10, to the nearest integer? 3 What is the eighth root of 228257 to the nearest integer? 5 What is 25617491 to the power of 1/2, to the nearest integer? 5061 What is the cube root of 214692 to the nearest integer? 60 What is 1882241 to the power of 1/2, to the nearest integer? 1372 What is the tenth root of 2138976 to the nearest integer? 4 What is 4514175 to the power of 1/2, to the nearest integer? 2125 What is 20193010 to the power of 1/10, to the nearest integer? 5 What is 1842490 to the power of 1/3, to the nearest integer? 123 What is 28053436 to the power of 1/2, to the nearest integer? 5297 What is the square root of 233204 to the nearest integer? 483 What is 22330136 to the power of 1/2, to the nearest integer? 4725 What is 1283239 to the power of 1/2, to the nearest integer? 1133 What is the third root of 5582124 to the nearest integer? 177 What is the square root of 200414 to the nearest integer? 448 What is the square root of 402130 to the nearest integer? 634 What is the tenth root of 350870 to the nearest integer? 4 What is 3602562 to the power of 1/7, to the nearest integer? 9 What is 4481039 to the power of 1/5, to the nearest integer? 21 What is the eighth root of 332872 to the nearest integer? 5 What is the sixth root of 42189 to the nearest integer? 6 What is 12637265 to the power of 1/8, to the nearest integer? 8 What is the square root of 112091 to the nearest integer? 335 What is 1375749 to the power of 1/2, to the nearest integer? 1173 What is the square root of 134648 to the nearest integer? 367 What is 1976543 to the power of 1/3, to the nearest integer? 125 What is 84096 to the power of 1/2, to the nearest integer? 290 What is the seventh root of 1476175 to the nearest integer? 8 What is the square root of 16520732 to the nearest integer? 4065 What is the third root of 17103433 to the nearest integer? 258 What is the third root of 18612128 to the nearest integer? 265 What is the cube root of 3322318 to the nearest integer? 149 What is the square root of 5365207 to the nearest integer? 2316 What is the square root of 213822 to the nearest integer? 462 What is 212462 to the power of 1/4, to the nearest integer? 21 What is the fifth root of 526893 to the nearest integer? 14 What is the cube root of 260703 to the nearest integer? 64 What is the square root of 1357215 to the nearest integer? 1165 What is 681090 to the power of 1/2, to the nearest integer? 825 What is the square root of 315617 to the nearest integer? 562 What is 27451008 to the power of 1/3, to the nearest integer? 302 What is 9317488 to the power of 1/9, to the nearest integer? 6 What is the fifth root of 458803 to the nearest integer? 14 What is 2307838 to the power of 1/2, to the nearest integer? 1519 What is the cube root of 201024 to the nearest integer? 59 What is 1716445 to the power of 1/7, to the nearest integer? 8 What is 3105131 to the power of 1/3, to the nearest integer? 146 What is the cube root of 9431960 to the nearest integer? 211 What is the eighth root of 2648541 to the nearest integer? 6 What is 74331 to the power of 1/2, to the nearest integer? 273 What is the fourth root of 65454 to the nearest integer? 16 What is 5102086 to the power of 1/2, to the nearest integer? 2259 What is the tenth root of 32221585 to the nearest integer? 6 What is 208333 to the power of 1/8, to the nearest integer? 5 What is the cube root of 1128209 to the nearest integer? 104 What is 337975 to the power of 1/5, to the nearest integer? 13 What is 28361396 to the power of 1/4, to the nearest integer? 73 What is the third root of 390853 to the nearest integer? 73 What is the square root of 793052 to the nearest integer? 891 What is 13821419 to the power of 1/2, to the nearest integer? 3718 What is the seventh root of 38839 to the nearest integer? 5 What is 5217927 to the power of 1/6, to the nearest integer? 13 What is the third root of 13765991 to the nearest integer? 240 What is 115210 to the power of 1/9, to the nearest integer? 4 What is the cube root of 449452 to the nearest integer? 77 What is the eighth root of 260351 to the nearest integer? 5 What is 75832 to the power of 1/5, to the nearest integer? 9 What is the seventh root of 757174 to the nearest integer? 7 What is the sixth root of 153973 to the nearest integer? 7 What is 2135067 to the power of 1/4, to the nearest integer? 38 What is the third root of 350762 to the nearest integer? 71 What is 383414 to the power of 1/3, to the nearest integer? 73 What is 4806254 to the power of 1/2, to the nearest integer? 2192 What is the square root of 19948821 to the nearest integer? 4466 What is the third root of 4451420 to the nearest integer? 165 What is 126360 to the power of 1/2, to the nearest integer? 355 What is 25259 to the power of 1/8, to the nearest integer? 4 What is the fourth root of 6261494 to the nearest integer? 50 What is the square root of 1766787 to the nearest integer? 1329 What is the cube root of 24108945 to the nearest integer? 289 What is the fourth root of 551084 to the nearest integer? 27 What is 151635 to the power of 1/2, to the nearest integer? 389 What is the third root of 177358 to the nearest integer? 56 What is 771697 to the power of 1/4, to the nearest integer? 30 What is 707358 to the power of 1/3, to the nearest integer? 89 What is 915589 to the power of 1/7, to the nearest integer? 7 What is the square root of 8643505 to the nearest integer? 2940 What is the square root of 16031242 to the nearest integer? 4004 What is the square root of 100886 to the nearest integer? 318 What is the third root of 530744 to the nearest integer? 81 What is the seventh root of 4546376 to the nearest integer? 9 What is 1115669 to the power of 1/10, to the nearest integer? 4 What is the sixth root of 5839940 to the nearest integer? 13 What is 3044605 to the power of 1/2, to the nearest integer? 1745 What is the square root of 17657796 to the nearest integer? 4202 What is the square root of 18521100 to the nearest integer? 4304 What is the square root of 23283 to the nearest integer? 153 What is 7278960 to the power of 1/2, to the nearest integer? 2698 What is the ninth root of 217370 to the nearest integer? 4 What is the cube root of 2995931 to the nearest integer? 144 What is 2243833 to the power of 1/2, to the nearest integer? 1498 What is the tenth root of 10520965 to the nearest integer? 5 What is the square root of 937837 to the nearest integer? 968 What is the sixth root of 13990732 to the nearest integer? 16 What is the square root of 61153 to the nearest integer? 247 What is the third root of 313800 to the nearest integer? 68 What is 236921 to the power of 1/3, to the nearest integer? 62 What is the third root of 1329237 to the nearest integer? 110 What is 15766527 to the power of 1/2, to the nearest integer? 3971 What is 4386180 to the power of 1/5, to the nearest integer? 21 What is the cube root of 10575 to the nearest integer? 22 What is 116732 to the power of 1/4, to the nearest integer? 18 What is the sixth root of 26505496 to the nearest integer? 17 What is 576560 to the power of 1/4, to the nearest integer? 28 What is the cube root of 2363273 to the nearest integer? 133 What is the square root of 4813222 to the nearest integer? 2194 What is the sixth root of 2624361 to the nearest integer? 12 What is 564659 to the power of 1/2, to the nearest integer? 751 What is 14084666 to the power of 1/8, to the nearest integer? 8 What is the third root of 1065224 to the nearest integer? 102 What is the third root of 963857 to the nearest integer? 99 What is the third root of 6478889 to the nearest integer? 186 What is 7567141 to the power of 1/3, to the nearest integer? 196 What is the square root of 2394931 to the nearest integer? 1548 What is the eighth root of 150343 to the nearest integer? 4 What is the square root of 13
{ "pile_set_name": "DM Mathematics" }
Multiply 3 and -0.71. -2.13 Multiply 0 and 100. 0 What is -0.3 times 0.072? -0.0216 Calculate 4073*3. 12219 Calculate -21*-11. 231 -0.1 * 0.769 -0.0769 -0.13 * 20.2 -2.626 -0.4*-30.35 12.14 What is 205 times 0.1? 20.5 Calculate 148*-0.1. -14.8 Multiply -5 and 73. -365 -0.3 times 730 -219 Product of -0.5 and 6.5. -3.25 What is 0.354 times 1? 0.354 -104 times -1.8 187.2 Multiply 4 and 116. 464 Product of -7059 and -0.4. 2823.6 What is 0.1 times 122? 12.2 0.055*-55 -3.025 Work out -0.5 * 0.005. -0.0025 Calculate 3.3*-13. -42.9 Multiply -5.8 and 0.4. -2.32 Work out -4.5 * 0. 0 Product of 7.93 and 0.4. 3.172 Work out 0.05 * -230. -11.5 Multiply 0.14 and -39. -5.46 Product of 0.5 and 320. 160 What is -0.2 times 99? -19.8 What is -15285 times 0.1? -1528.5 Work out 107 * 102. 10914 Calculate 2.9411*0.1. 0.29411 1855 times 0.1 185.5 -2.7*-4.6 12.42 -0.4*0.063 -0.0252 Calculate -13425*-4. 53700 -1 * -4103 4103 Product of 2.4 and 11. 26.4 Product of 543 and -0.7. -380.1 Calculate 0.5*-0.019. -0.0095 23 times 392 9016 -0.3768*-2 0.7536 What is the product of 12.6 and 2.1? 26.46 What is the product of 206 and 0.2? 41.2 Work out 4 * 1.8. 7.2 -26.097 * -0.5 13.0485 Multiply -1202 and -3. 3606 Product of -4 and 2.359. -9.436 What is the product of 168 and -0.7? -117.6 Product of 0.06 and 99.3. 5.958 Multiply 0.74 and -4. -2.96 4 * -2.61 -10.44 Work out 0.02 * -134. -2.68 Calculate -2113*2. -4226 Calculate -1.1*-134. 147.4 Product of 6 and 73. 438 Work out 19 * 3.3. 62.7 -5*-2133 10665 -0.0553 * -1 0.0553 12 * 17.5 210 What is the product of -2.5 and 15? -37.5 What is the product of -0.4 and 123? -49.2 Product of -0.3 and 26.58. -7.974 Work out 0.4 * -51. -20.4 What is the product of 0.1589 and 5? 0.7945 6 * 0.114 0.684 1*1.8 1.8 Calculate 0.841*0.06. 0.05046 3*119 357 What is the product of 2.3 and 6? 13.8 What is the product of 883 and -3? -2649 0.2 * -1826 -365.2 -35*-351 12285 Multiply -0.5 and 18. -9 270 * 2 540 -0.3 * -30 9 What is the product of 0.38 and 34? 12.92 -18 times -0.75 13.5 0.0691 * 1.4 0.09674 -0.2 * -11 2.2 Calculate 5*-0.22. -1.1 Multiply 22.9 and 0.1. 2.29 What is 5 times -4545? -22725 Work out 0.1 * -0.412. -0.0412 -43.7 times -0.6 26.22 Multiply -0.2 and -15. 3 What is the product of -20 and 59? -1180 What is the product of 0.6362 and -0.2? -0.12724 -0.1 times 3.3 -0.33 3.51 * -2 -7.02 Product of -10824 and -2. 21648 0.2*-2.9 -0.58 38 * 1.1 41.8 -2 times -1.6 3.2 Multiply 2.63 and -0.5. -1.315 What is the product of -0.03 and -439? 13.17 What is the product of -0.3578 and -5? 1.789 Multiply -1565 and -6. 9390 Calculate 5*833. 4165 Work out -3 * 6.3. -18.9 30.5 * 1 30.5 What is the product of 0.5 and -983? -491.5 0.8*0.114 0.0912 Calculate 0.1*-1.49. -0.149 Product of 6 and 0.28. 1.68 -0.09 times -0.4 0.036 -0.962*-2 1.924 Work out 0.2 * 428. 85.6 What is -12 times 85? -1020 Calculate 1.3*58. 75.4 7.7 times 8 61.6 Product of 31 and 16. 496 What is 0.4 times 64? 25.6 Multiply -24 and -0.1. 2.4 Work out 0.035 * -0.1. -0.0035 Product of 169 and 0.12. 20.28 14200 * -0.4 -5680 -1843 times -4 7372 What is -0.3 times -2.45? 0.735 662 times -12 -7944 Multiply -0.2 and -47. 9.4 What is -0.038 times -125? 4.75 What is the product of 0.34 and -84? -28.56 Work out 0.19 * -0.0231. -0.004389 What is the product of -16 and 4? -64 What is 4 times -2.06? -8.24 Multiply 1 and -4.45. -4.45 Product of -0.1 and -3.59. 0.359 -425 times -26 11050 Multiply -2.75 and -0.1. 0.275 Product of 84 and -0.076. -6.384 Calculate -0.079*-0.02. 0.00158 -28*6.32 -176.96 Multiply -0.3 and -89. 26.7 Work out -1 * 21. -21 Multiply 17 and 140. 2380 What is -0.277 times -2? 0.554 Work out -24.7 * 0. 0 Multiply 2.08 and -0.13. -0.2704 Multiply -4.7 and 42. -197.4 Multiply -0.1 and -678. 67.8 -260 times -0.2 52 -0.5 times -12.5 6.25 What is 38 times -1.3? -49.4 1292 * -2 -2584 -0.17 * -0.1 0.017 0.89 * 3 2.67 Work out -0.2 * 713.4. -142.68 Calculate 0.21*-824. -173.04 -0.4 times 13.7 -5.48 Calculate -108*2. -216 Calculate -0.02*563. -11.26 What is the product of 8 and -21? -168 Product of -1.5 and -0.172. 0.258 Calculate -4*41.7. -166.8 What is -54 times -0.02? 1.08 -0.3 * 1916 -574.8 What is -11 times -179? 1969 What is -0.02 times -0.044? 0.00088 Work out -0.09 * -0.05. 0.0045 Multiply 0.2 and 75. 15 -182*5 -910 Product of 1.8 and 0.832. 1.4976 Multiply 4 and 2446. 9784 -6 * -0.04 0.24 What is 0.04 times -2484? -99.36 Product of 8 and 257. 2056 What is -128 times -48? 6144 Work out -1339 * 16. -21424 Product of -4.7 and 3. -14.1 64 times -0.032 -2.048 What is -11 times -0.38? 4.18 What is the product of -3012 and 0.2? -602.4 0.1*-171.2 -17.12 -6 times -0.007 0.042 -5*-15 75 Product of 0.16 and 49. 7.84 3.14 times -2 -6.28 What is -2 times -430? 860 Product of -0.201 and -5. 1.005 What is the product of 27 and 3? 81 Product of -402 and 2.8. -1125.6 Calculate 0.056*-47. -2.632 Product of -15 and 123. -1845 Multiply -50 and -34.5. 1725 Multiply -19 and -11. 209 Work out 0.01 * 1.6. 0.016 Multiply -81 and 181. -14661 -137*-2 274 -0.1*-119.4 11.94 Calculate 0.47*8. 3.76 What is 0.3 times -7.9? -2.37 -63 times 0.09 -5.67 What is the product of 1.924 and -0.2? -0.3848 -347 * -0.3 104.1 Calculate -38.5*5. -192.5 Product of 0.6 and -7. -4.2 Multiply -15 and -176. 2640 -83 * -1 83 What is 2 times 0.018? 0.036 0.1 times -1.192 -0.1192 0.68 times 0.4 0.272 What is the product of 54 and 2? 108 Work out 2 * -1157. -2314 -5526 times 0.1 -552.6 105 times 0.4 42 Product of -0.17 and -30. 5.1 Work out -4 * -70. 280 Calculate -2319*-0.4. 927.6 Multiply -33 and 0.5. -16.5 -8 * -78 624 24120 * -2 -48240 What is -1 times -0.47? 0.47 -4 times -1498 5992 258*0.14 36.12 -0.16*15 -2.4 Calculate 50*191. 9550 Multiply 651.3 and -0.4. -260.52 Work out 5 * -0.3144. -1.572 Work out 0.5 * -202. -101 What is -9.5 times 3? -28.5 0.7*-336 -235.2 -18 * 0.7 -12.6 Multiply -0.4 and 147. -58.8 Product of 0 and -179. 0 Calculate 3*0.1258. 0.3774 What is the product of 0.05 and -33? -1.65 What is the product of 9 and 6? 54 -0.1*0.1751 -0.01751 -0.99 * -6 5.94 -17.38*0 0 What is 2.78 times -5? -13.9 Work out -271 * 0.1. -27.1 39 * -587 -22893 Product of 217 and -0.03. -6.51 What is the product of -0.28 and -4? 1.12 What is 0.2 times 2.2? 0.44 Multiply 0.00157 and -0.4. -0.000628 Multiply 3.5464 and 1. 3.5464 0.1 * -49 -4.9 Multiply 822.6 and 0.2. 164.52 Product of 11.7 and 15.4. 180.18 What is the product of -0.52 and -29? 15.08 Work out 0.09 * -1.62. -0.1458 31 * -0.279 -8.649 -51.5 * -0.19 9.785 Work out 0.164 * -0.2. -0.0328 -0.5*-989 494.5 -1.6*0.11 -0.176 -1616*-0.1 161.6 -710 times -2 1420 Multiply -372 and 1.9. -706.8 0.34 times 0.2 0.068 -30.93 times 1 -30.93 What is 78 times 4? 312 -0.4 * 24.23 -9.692 -225 times -3 675 Product of -0.027 and -2.03. 0.05481 What is -0.27 times -20? 5.4 Product of 0.635 and 0.1. 0.0635 Product of 1 and -115. -115 Work out 0.027 * -0.75. -0.02025 Product of 4 and -94. -376 What is 9 times -3.7? -33.3 What is 5 times -199.5? -997.5 What is the product of 0.116 and -2? -0.232 Calculate -398*-21. 8358 Multiply -0.3 and 0.753. -0.2259 -3.2 * -0.8 2.56 2806 times -2 -5612 Multiply -1.8 and 0.02. -0.036 -493 * 10 -4930 -0.1633 * -1 0.1633 Multiply -7 and 1012. -7084 Multiply -5 and 56. -280 What is -0.097 times 1? -0.097 -4.36 * -0.2 0.872 1028 * 0.4 411.2 Work out 0.4 * 0.003. 0.0012 Work out -37 * -4. 148 2.7*0.14 0.378 Multiply -1 and -632. 632 Calculate 0.305*-11. -3.355 -63*-0.074 4.662 What is the product of -6213 and -1? 6213 0.4 * -349 -139.6 Product of -15 and -0.06. 0.9 1 times -346.9 -346.9 4 times 1088 4352 -2*31.1 -62.2 Calculate -0.43*3.03. -1.3029 What is -0.5 times 0.886? -0.443 0.1 * -1.288 -0.1288 1338 * -3 -4014 2.4 * -1076 -2582.4 Multiply 267 and 0.4. 106.8 Multiply 744 and 4. 2976 3 times -144 -432 66 times 0.4 26.4 0.5 times 5.3 2.65 -0.09*-0.43 0.0387 Multiply -3 and 3117. -9351 -0.203*5 -1.015 -0.01 times 34 -0.34 -1.1*-1 1.1 -40 * -6 240 Multiply -0.3 and -34.48. 10.344 Multiply -5 and -0.016. 0.08 Product of 6.6 and -3. -19.8 2000 * -0.3 -600 Work out 93 * -114. -10602 Work out 15975 * -4. -63900 2.09 times -0.3 -0.627 Calculate -1*-914. 914 Product of -1 and -0.2093. 0.2093 Work out 0.469 * 5. 2.345 0.1 * -256 -25.6 Product of -0.24 and -0.1. 0.024 Multi
{ "pile_set_name": "DM Mathematics" }
? 9 Suppose -5*o + 0 = 25, -3*o - 18 = -a. Suppose -a*x + 37 = -14. Suppose 59 = 5*i - 15*d - 41, -5*i = -d - 86. What is the greatest common factor of i and x? 17 Let w(r) = -r**3 + 33*r**2 - 26*r - 181. Let k be w(32). Let o be 44/k + (-2 - -49). Suppose -5*d = -1239 - 1056. What is the greatest common factor of d and o? 51 Let u be (-10*2/(-3))/((-64791)/2592 + 25). What is the highest common factor of u and 168? 24 Let n(p) = -11*p - 4. Let i be n(-4). Let q(w) = -w**2 - 2*w + 12. Let x be q(-4). Let o be (6/x)/(21/14) - -9. Calculate the highest common divisor of i and o. 10 Let d be (-34710)/(-35) + -32 - (18/(-14) + 1). Calculate the greatest common factor of d and 144. 48 Suppose 0 = -9*z + 2284 + 2693. Suppose -1046 = -13*x + z. Calculate the highest common divisor of x and 164. 41 Let m = -14652 - -15015. Let x = 44 + -8. Let d = -3 + x. What is the greatest common factor of m and d? 33 Let t(j) = 2*j**3 + 24*j**2 + 104*j + 280. Let c be t(-7). Suppose 2*w + 3*w = 2730. What is the highest common factor of w and c? 42 Suppose 6*z - 7*z = -60. Suppose 3*x = 2*g + 448, x + g = 19 + 132. Calculate the greatest common divisor of x and z. 30 Let q(b) = 8*b**3 - 36*b**2 + 12*b + 46. Let f be q(7). Calculate the highest common factor of f and 50. 10 Let v = 35 + -25. Let r = 16 - v. Let l(p) = -p**3 + 9*p**2 - 6*p - 13. Let s be l(8). What is the highest common divisor of r and s? 3 Let v(i) = -5*i + 8. Let s be (32 + -10)*(-1)/2. Let t be v(s). Let x = 20 - 13. Calculate the highest common factor of x and t. 7 Let k be 7 + -24 + 252 + 52. What is the greatest common factor of 371 and k? 7 Suppose p = -2*p - 105. Let i be 1317/21 + (-10)/p. Let k = i + -43. What is the greatest common divisor of k and 60? 20 Suppose 125*c = 123*c + 2. Let w(p) = 27*p**3 - 4*p**2 - p + 3. Let t be w(c). What is the highest common divisor of t and 25? 25 Suppose 47*x + 17*x - 6336 = 0. Suppose -1 = -g, 3*t - 2*g + 14 - 45 = 0. Calculate the greatest common factor of x and t. 11 Let a = -14681 + 14837. Let r(z) = -22*z + 7. Let d be r(-5). Calculate the greatest common factor of d and a. 39 Suppose 31*b = 42*b - 209. Suppose v - 5*w - 27 = 0, 5*v = 4*w - w + 157. Let q = v - b. What is the highest common factor of q and 143? 13 Suppose 5*s - 7*s - 28 = -2*n, 0 = 3*n + 3*s - 66. Suppose n*w = -w + 532. What is the greatest common factor of 308 and w? 28 Let f = 31 + 9. Suppose -2*k = f - 18. Let t be (-913)/k - (-2 + 7). Calculate the greatest common factor of 26 and t. 26 Let l be (-25)/(-4) + (-24)/96. Let x be (l/27)/(-4 + (-148)/(-36)). Let q = -48 + 70. Calculate the highest common divisor of x and q. 2 Suppose -5*w + 0*w + 25 = 5*j, 2*j = -3*w + 16. Suppose 26 = w*p + 2. Let s(m) = -12*m - 32. Let o be s(-8). What is the greatest common factor of o and p? 4 Suppose -44 = -5*m + 2*h - 0*h, 3*h + 14 = m. Suppose -m*r = -r - 840. What is the greatest common factor of r and 40? 40 Let c(o) = -o**3 - 30*o**2 - 142*o + 64. Let b be c(-24). Calculate the highest common factor of b and 5584. 16 Let o be 402/(2 - 0)*((-100)/10 + 27). What is the greatest common factor of 335 and o? 67 Let v = -3559 + 4343. What is the greatest common divisor of v and 280? 56 Let m be (-32)/3*(-4)/(160/30). Suppose 5*j = q + 24, -5*q - m = 2*j + j. Let l be (-2)/(-2*1) + 27. What is the highest common divisor of l and j? 4 Suppose -4*f - 15 = 41. Let v be (20 - f)*(4 - 2). What is the highest common factor of 340 and v? 68 Suppose 10*a + 0*a - 22919 = -31*a. What is the greatest common factor of a and 602? 43 Suppose -3*t + 73 = 2*l, 5*l - 134 + 14 = -5*t. Let v(q) = -99*q + 4. Let g be v(-4). What is the greatest common factor of g and t? 25 Suppose 681 = -g + 684. Let i be -4 + (6 - g) - -6. Suppose -4*f - 2 = -6. What is the greatest common factor of i and f? 1 Let j = 101 + -65. Let g be 208/(-20)*(-1470)/637. What is the highest common divisor of g and j? 12 Let t(i) = -49*i + 165. Let l be t(3). Calculate the greatest common divisor of 657 and l. 9 Let k = 205 - 181. Suppose -29 = -i + 4*h, i + 0*i - 3*h = k. What is the greatest common divisor of 5 and i? 1 Suppose 6*u - 2*u + 60 = 0. Let i = 30 + u. Let x(a) = a**2 - 11*a - 20. Let h be x(i). What is the highest common divisor of 10 and h? 10 Let x(l) be the second derivative of -l**3/6 + 22*l**2 + 2*l. Suppose 2*r = -21 + 21. Let c be x(r). What is the highest common factor of c and 88? 44 Let l(w) = -w**2 - 89 + 5*w**2 + 6*w**2 + 147 - 1 - 5*w. Let k be l(11). Calculate the highest common divisor of k and 12. 12 Suppose -25*p - 137820 + 575220 = 0. What is the greatest common divisor of 24 and p? 24 Let r be (4 - 8)/(36/(-9099)) - -4. What is the highest common factor of r and 7? 7 Suppose 10*k - 484 = 396. Calculate the highest common factor of k and 3454. 22 Let b be (-5)/(-10) - 93/(-6). Calculate the greatest common divisor of 30784 and b. 16 Let p = -230 - -462. Let j be -1*(-15)/(-5)*-1 + 1. Let q be (0 - j) + -2 + 140/4. Calculate the greatest common factor of p and q. 29 Suppose 2*q - 1470 = -3*q + 5*n, -2*n + 862 = 3*q. Suppose -3*c + q = -25. Suppose -6433 = -181*j - 2632. Calculate the highest common factor of j and c. 21 Let o = -5621 - -5661. What is the highest common divisor of o and 23480? 40 Let u be (-1 - -1)/(0/10 - -1). Suppose 7*a + 168 - 588 = u. Calculate the greatest common divisor of a and 72. 12 Let x be (105/(-15))/(6/(-42)). Calculate the highest common divisor of 497 and x. 7 Let j = -22149 - -22153. Let w = -60 + 88. What is the highest common divisor of w and j? 4 Let b(a) = a**2 + 3*a - 8. Let i be b(6). Let o = -412 + 138. Let n = o + 297. Calculate the highest common divisor of i and n. 23 Let i = -743 + 1248. Let p = i - 497. What is the greatest common factor of 200 and p? 8 Let k be 15129/207 + 8 - 8/92. Let r(i) = -28*i - 7. Let y be r(-7). What is the greatest common divisor of k and y? 27 Suppose -64 = -a - 3*a. Suppose 0 = -9*u + a - 583. Let j be (u/42)/(6/(-16)). What is the greatest common divisor of j and 20? 4 Let d = -4990 - -5016. Calculate the greatest common factor of d and 2691. 13 Suppose -6*f - 35588 + 193467 = 11*f. Calculate the highest common divisor of f and 37. 37 Let w(x) = 43*x - 2155. Let a be w(51). Calculate the highest common divisor of a and 893. 19 Let b(h) = -16*h - 125. Let j be b(-15). Let k(n) = n**2 + 5. Let x be k(0). Calculate the greatest common divisor of j and x. 5 Suppose 3*u - 1206 = -3*o, -2*u + 6*u = -8. Let k = 579 - o. Calculate the highest common divisor of k and 50. 25 Let w(a) = a**3 - 81*a**2 + 306*a + 162. Let x be w(77). Let j be 2/(1 + 43/(-44)). Calculate the greatest common divisor of j and x. 8 Let h = -19 - -33. Suppose -10*a = -9*a + 3*y - 138, -2*y - 8 = 0. Suppose -4*n + a = -578. Calculate the highest common factor of n and h. 14 Suppose -5*h + 21870 = 5*j, 17460 = 4*h - 8*j + 3*j. What is the greatest common factor of h and 460? 230 Suppose -3*x - 4*l = -2275, 42*l - 2276 = -3*x + 37*l. Suppose x - 820 = -7*h. Calculate the greatest common divisor of h and 441. 9 Let z(y) = -13*y**2 + 18*y + 37. Let c be z(-3). Let q = c + 195. Calculate the greatest common factor of 488 and q. 61 Suppose -6*n + 485 = 89. Suppose -132 = -4*a - p, -2*a + 3*p - p = -n. Calculate the greatest common factor of a and 165. 33 Let t be (8 + 75/(-10))*-8 - -122*13. What is the highest common factor of 14 and t? 14 Let w be (-156)/(-16) - 1/(-4). Suppose w*d - 893 = 1057. What is the highest common factor of d and 117? 39 Let z(o) = 15*o + 77. Let t = -784 - -783. Let c be z(t). Calculate the highest common divisor of 62 and c. 62 Let q be -1*(-6 + 6)/4. Let h be 0/(2 - 1 - 2). Suppose h = 2*r - q*r - v - 10, 4*v - 38 = -5*r. What is the greatest common factor of r and 48? 6 Let p be (-5 - -1 - 0) + -95. Let r be 1*(-1*p/1 + 1). What is the greatest common factor of r and 175? 25 Let t be -6 + (5 - 1) - 13. Let f be 94*(-7)/(70/t). Suppose 0 = 13*r - 401 + f. Calculate the greatest common factor of r and 2. 2 Let x = -143 - -153. Calculate the highest common divisor of 5840 and x. 10 Let r = -7430 - -8271. Calculate the greatest common factor of 87 and r. 29 Let y = 499 + -435. Calculate the highest common divisor of 56 and y. 8 Let n(s) = s**3 -
{ "pile_set_name": "DM Mathematics" }
er? True Suppose -x = x. Suppose p - 2 = -x*p. Is p*(-1)/2*-113 prime? True Let v(a) = 3*a**2 + 23*a - 6. Let p(z) = -z**2 - 12*z + 3. Let w(j) = 7*p(j) + 4*v(j). Is w(-6) prime? False Suppose 10 = f - y, -20 = -2*f - 4*y + 3*y. Suppose 3*p = f + 11. Is p a prime number? True Let m(k) = -k**2 + 6*k - 5. Let u be m(5). Suppose 0 = -2*n, u = 5*l + n + 4*n - 475. Is l a prime number? False Suppose -4*f + 2194 + 490 = 0. Is f a composite number? True Let v(a) = a**2 - a + 1. Let r(c) = c - 2. Let k be r(0). Let p be v(k). Let o = p - 0. Is o a prime number? True Let g(h) = h**2 - 3*h + 3. Let u be g(3). Suppose 4 - u = k. Let w(b) = 35*b**3 - b**2 - b + 1. Is w(k) a composite number? True Suppose 5*a - 177 = -12. Let p = -8 + a. Is p a prime number? False Let g(s) = s**3 - 4*s**2 + 3*s - 4. Let t be g(3). Let o(p) = p**3 + 4*p**2 - 2*p - 3. Let v be o(t). Suppose -v = -2*c + 23. Is c a composite number? True Let u(y) be the first derivative of -1/4*y**4 + 2*y + 1 + 7/3*y**3 + 9/2*y**2. Is u(8) a composite number? True Suppose 3*q - 322 = -r, 368 + 178 = 5*q + 4*r. Is q prime? False Let u = 0 + -1. Let z(f) = 79*f**2 + 4*f + 4. Let y(t) = -79*t**2 - 3*t - 3. Let g(h) = -5*y(h) - 4*z(h). Is g(u) a prime number? True Let q(g) = g**3 + 3*g + 53. Is q(0) a prime number? True Let g(s) = -s**2 - 26*s + 1. Is g(-11) composite? True Is (2 - 4) + (2 - -1) + 36 a prime number? True Let i be 2/(-4) - 81/(-18). Suppose -i*y + 6*y - 318 = 0. Is y composite? True Let h(q) = -q**2 + 2*q + 7. Let u be h(4). Let p = 36 + u. Is p prime? False Suppose 0 = 5*i - 0*i - 3235. Is i a prime number? True Let k be (48/28)/((-4)/(-42)). Suppose -g + k = 2*g. Is ((-68)/12)/((-1)/g) composite? True Let v = 11 - 6. Suppose d = 4*l - 0*l + 19, 4*l + 143 = v*d. Is d a prime number? True Suppose 2573 - 451 = 2*m. Is m composite? False Is -5*(-3)/(60/92) prime? True Let q = 32 + 59. Is q prime? False Suppose 0*o = -o + 4. Suppose -o*d - 21 = -169. Is d prime? True Let u be ((-6)/(-1) - 3) + 3. Suppose 249 = 3*g + 3*b, -2*b = g - u*g + 443. Is g a composite number? True Suppose 5*f = -0*f - 15. Is (1/f)/(2/(-1146)) composite? False Let v be (-11)/3 + 4/(-12). Is (1148/(-6))/(v/6) composite? True Let d(w) = w**2 + 11*w - 13. Let t be d(-10). Let u = t + 78. Is u a prime number? False Let h(p) be the third derivative of p**5/20 - 3*p**4/8 - 5*p**3/6 - p**2. Suppose 0 = -5*g - 9 + 49. Is h(g) prime? False Let l = -38 + 249. Is l composite? False Let c(w) = -w**2 - 8*w - 5. Let n = 0 - 5. Is c(n) a composite number? True Let o(u) = 3*u + 7. Let b(q) = 7*q + 15. Let i(x) = -2*b(x) + 5*o(x). Let r be i(-5). Suppose r = -2*v + 236 - 54. Is v a composite number? True Let p(c) = c - 9*c - 9 - c**3 - 2*c**2 - 6*c**2. Is p(-8) a composite number? True Is 2 - (-2 - 230) - 1 a prime number? True Let g(z) = -z**3 - 6*z**2 - 10*z - 7. Let m be (0 - 1) + 1 + 2. Let a be (-5 + (m - -1))*3. Is g(a) a composite number? False Suppose 0 = -2*t + t + 38. Is t prime? False Let m(i) = -4*i**3 + 3*i**2 - i - 3. Let u be m(3). Let l = 206 + u. Is l prime? False Let l(y) = y**3 + 11*y**2 - 8*y + 3. Is l(-9) a prime number? False Let u(o) = 21*o - 1. Let x be u(1). Suppose -i = -2*i - 4*g + 12, -2*i = -3*g + x. Is 77/4 + 1/i a prime number? True Let h = 2429 + -226. Is h a prime number? True Suppose 0*h - 4*n - 8 = 3*h, 0 = -h - 4*n - 16. Suppose -h*p - p = -1615. Is p a prime number? False Let i = -161 - -373. Is (i/(-8))/(2/(-4)) a composite number? False Let x be 1*(11 + 0 + -1). Suppose -4*i - i + x = 0. Suppose -79 = -i*m + 27. Is m composite? False Let r = 1410 - 661. Is r prime? False Suppose 0 = 3*v - 9, 42 = 4*z - 5*v - 435. Suppose -3*a = -228 - z. Let q = 202 - a. Is q prime? False Let r(s) = s + 8. Let p be r(-8). Let o = -107 - -171. Suppose -n - 3*c + 6 = p, -8*c + o = 4*n - 4*c. Is n composite? True Suppose 0 = -3*k - 5*z + 26, 4*z = 5*k + 3 + 3. Is 51 + -2 + 2 - k a composite number? True Let o = -878 - -2905. Is o prime? True Let y = 4524 + -1637. Is y a composite number? False Let d be 4/(-10) + (-27)/(-5). Suppose -5*p = -10*p + m + 174, -d*p - 4*m = -179. Is p a composite number? True Let t be (-2)/7 + (-2580)/(-14). Suppose -2*l + 4*j + 126 = 0, 0*l - 5*j - t = -3*l. Is l a composite number? False Let f be 355/(-1) + (0 - -4). Let k = f + 692. Is k prime? False Let n be (-932)/(-16)*4*1. Let j = n + 36. Is j a composite number? False Suppose 2152 = 3*q + q + 3*i, 5*q - 2713 = 2*i. Is q prime? True Let g be 2/(-7) + 92/28. Suppose -g*v - 2*f - 493 = 0, -5*v + 3*f - f = 843. Let p = -112 - v. Is p a composite number? True Suppose 2*q + 3*s = 1343, 2*q - 328 - 1021 = 3*s. Is q a composite number? False Suppose -5*r + 0*r + 65 = 0. Let g = 70 + r. Is g composite? False Let l(q) = -4*q**3 - 10*q**2 - 3*q - 16. Is l(-7) prime? True Let g(w) = 3*w**2 - 8*w + 13. Let n be g(9). Suppose -i = t - 280, -3*i + 7*i - t - 1095 = 0. Let z = i - n. Is z composite? True Let f = 141 + 70. Is f a prime number? True Let u = 140 - -86. Suppose -u - 6 = -v. Suppose v = -d + 5*d. Is d a composite number? True Suppose 6932 = 4*c + 1376. Is c a prime number? False Let s = 25 - -44. Let z be (-8)/(-5) + 4/10. Suppose 0 = -z*k + s + 25. Is k composite? False Suppose -3*s + 3 = -3. Let x = 22 + 67. Suppose -m + b - 26 = -x, 0 = m - s*b - 61. Is m composite? True Suppose 0 = 2*c - 19 + 9. Suppose 415 = -c*p + 5*u + 1355, -4*p + 749 = -5*u. Is p composite? False Suppose 7*q = q + 1062. Is q a prime number? False Suppose -4383 = -4*l - 3*f, 4*l - 5941 + 1557 = -4*f. Suppose -5*t = -5*x - l, -3*t + 669 = 2*x + x. Is t a prime number? False Is ((-2)/(-3))/(-1) - 15366/(-18) composite? False Let c(o) = o**2 - o + 1. Let i(h) = -h**2 - 5*h - 3. Suppose q + 3 = -0*q. Let x be i(q). Is c(x) composite? False Suppose k - 797 = -120. Is k a composite number? False Suppose -7*n = -2*r - 3*n + 50, n - 28 = -r. Suppose 2*z = r + 25. Is (z/(-4))/(1/(-2)) a composite number? False Let v = -1 + 36. Suppose -g = -u, 3*u - 2*g = -6*g + v. Suppose -3*q - 62 = -u*q. Is q prime? True Let w = -2 - -6. Suppose w*j - 2*v = 188, 0*v + 114 = 2*j + 4*v. Is j composite? True Suppose -k - 1 - 2 = 2*h, -k - 3*h = 6. Suppose -k*q = -0*q. Suppose q = -5*a - 25, -4*i - 6*a = -2*a - 464. Is i a composite number? True Suppose 2*s - 4*d = 1078, -s + 1603 = 2*s + d. Is s composite? True Suppose 0 = 3*a - 12, 5*p - 2*a + 96 = -17. Let y be (48/(-10))/((-4)/30). Let u = y + p. Is u a composite number? True Suppose -111 - 24 = l. Let p be (l/6)/((-3)/(-8)). Let a = 31 - p. Is a composite? True Suppose -20 = -0*m - 4*m - n, 5*m - 3*n = 25. Suppose 621 + 269 = m*f. Is f a prime number? False Suppose -4*v + 1831 = 3*s, -3*s + 4*s - 3*v = 593. Let d = -312 + s. Is d prime? True Suppose 0 = -3*u - 5*f + 437, 3*f - 60 + 215 = u. Is u composite? False Suppose 2*q + 0*q - 6 = 0. Suppose 0 = -q*o + 3*i + 36, 3*o - 5*i - 8 = 2*o. Is o a composite number? False Let y(i) = 10*i**2 + 2*i - 3. Let f be y(-5). Suppose 0 = -u - 4*u + 15. Suppose 0 = -0*s - u*s + f. Is s a prime number? True Is (-295)/(-2 + 0 - -1) a prime number? False Is 1/2*(-2824)/(-4) composite? False Let n(z) = 2*z**3 - 12*z**2 + 1. Is n(8) a prime number? True Suppose 2*k + 14 = 4*k. Suppose k = v - 4. Suppose 2*i = 3*i - v. Is i a composite number? False Is (7 - 5)*5834/4 a prime number? True Let j = -602 + 865. Is j a prime number? True Suppose -j + 43 = -93. Let o = -67 + j. Is o prime? False Let i(l) = -10*l - 2. Let a be i(4). Let w = -7 - a. Is w a prime number? False Suppose a - 4*a + 921 = 0. Is a a prime number? True Suppose -4*o = -s - 15, 0*o = -2*o + s + 7. Suppose -2*t + o*i + 34 = -0*t, -62 = -3*t - 5*i. Is t composite? False Suppose -5*k = -3*k - 42. Let x = k + 20. Suppose g - 8 = -5*c + x, 3*g + 3*c - 147 = 0. Is g composite? True Let x(u) = 9*u + 13. Suppose -5*k + 81 = 21. Is x(k) a composite number? True Suppose -2*p + 19 + 7 = 0. Suppose 0 = x - p + 3. Suppose -2*i = -x, -i - 259 = -3*y - 3*i. Is y prime? True Let s = 1669 + -1128. Is s composite? False Let g be (11/(-22))/(1/(-848)). Suppose -g = 4*a - 8*a. Is a a prime number? False Suppose -6 = 5*c - 2*c. Let p = -2 - c. Suppose p = -3*u - 0*u + 2*l + 233, 0 = 5*u - l - 393. Is u a composite number? False Suppose -6*z + 3*
{ "pile_set_name": "DM Mathematics" }
the remainder when 5439 is divided by 27. 12 Calculate the remainder when 682 is divided by 138. 130 What is the remainder when 624500 is divided by 8? 4 What is the remainder when 85474 is divided by 42735? 4 What is the remainder when 139928 is divided by 118? 98 What is the remainder when 16248 is divided by 4048? 56 Calculate the remainder when 5223 is divided by 2486. 251 What is the remainder when 1839 is divided by 337? 154 What is the remainder when 8683 is divided by 158? 151 What is the remainder when 8911 is divided by 1110? 31 Calculate the remainder when 27920 is divided by 490. 480 Calculate the remainder when 15814 is divided by 15082. 732 What is the remainder when 110941 is divided by 26? 25 What is the remainder when 4188249 is divided by 89? 87 What is the remainder when 1449 is divided by 120? 9 Calculate the remainder when 98089 is divided by 67. 1 What is the remainder when 126167 is divided by 185? 182 What is the remainder when 15423 is divided by 7708? 7 What is the remainder when 10214 is divided by 8? 6 What is the remainder when 64856 is divided by 50? 6 Calculate the remainder when 22615 is divided by 7. 5 Calculate the remainder when 756494 is divided by 469. 466 What is the remainder when 60211 is divided by 177? 31 Calculate the remainder when 160229 is divided by 53387. 68 Calculate the remainder when 19424 is divided by 647. 14 What is the remainder when 10110 is divided by 1062? 552 What is the remainder when 1748192 is divided by 655? 652 What is the remainder when 35193 is divided by 2068? 37 Calculate the remainder when 601 is divided by 582. 19 Calculate the remainder when 10831 is divided by 5405. 21 What is the remainder when 20049 is divided by 1512? 393 What is the remainder when 1228 is divided by 10? 8 What is the remainder when 44478 is divided by 265? 223 What is the remainder when 2366 is divided by 29? 17 Calculate the remainder when 1922 is divided by 685. 552 Calculate the remainder when 5168 is divided by 299. 85 What is the remainder when 147384 is divided by 510? 504 What is the remainder when 26147 is divided by 415? 2 What is the remainder when 2649 is divided by 285? 84 Calculate the remainder when 7061 is divided by 194. 77 What is the remainder when 195424 is divided by 42? 40 Calculate the remainder when 70614 is divided by 535. 529 Calculate the remainder when 212901 is divided by 4529. 38 Calculate the remainder when 8346 is divided by 156. 78 Calculate the remainder when 295979 is divided by 1783. 1 What is the remainder when 59126 is divided by 4212? 158 What is the remainder when 28320 is divided by 4024? 152 Calculate the remainder when 187356 is divided by 561. 543 What is the remainder when 9992 is divided by 137? 128 Calculate the remainder when 83313 is divided by 21. 6 Calculate the remainder when 100818 is divided by 335. 318 What is the remainder when 29929 is divided by 28? 25 What is the remainder when 1096294 is divided by 12? 10 Calculate the remainder when 17187 is divided by 71. 5 Calculate the remainder when 30792 is divided by 422. 408 What is the remainder when 5208 is divided by 33? 27 What is the remainder when 73654 is divided by 6133? 58 What is the remainder when 3107 is divided by 563? 292 What is the remainder when 42425 is divided by 9? 8 What is the remainder when 665 is divided by 47? 7 Calculate the remainder when 126591 is divided by 13. 10 What is the remainder when 8267 is divided by 169? 155 Calculate the remainder when 1632 is divided by 247. 150 Calculate the remainder when 31036 is divided by 469. 82 Calculate the remainder when 276651 is divided by 2912. 11 Calculate the remainder when 14154 is divided by 102. 78 What is the remainder when 9610 is divided by 7? 6 What is the remainder when 34296 is divided by 999? 330 Calculate the remainder when 60951 is divided by 242. 209 What is the remainder when 9290 is divided by 106? 68 Calculate the remainder when 1134416 is divided by 365. 361 What is the remainder when 132029 is divided by 7766? 7 What is the remainder when 41644 is divided by 20817? 10 What is the remainder when 3434 is divided by 686? 4 Calculate the remainder when 2876 is divided by 744. 644 What is the remainder when 23586 is divided by 12? 6 Calculate the remainder when 3601 is divided by 158. 125 Calculate the remainder when 27092 is divided by 48. 20 What is the remainder when 22810 is divided by 22? 18 Calculate the remainder when 65664 is divided by 65664. 0 Calculate the remainder when 1553 is divided by 197. 174 Calculate the remainder when 22528 is divided by 11263. 2 Calculate the remainder when 87998 is divided by 32. 30 Calculate the remainder when 13168 is divided by 13152. 16 What is the remainder when 58980 is divided by 19612? 144 Calculate the remainder when 3089 is divided by 171. 11 What is the remainder when 13563 is divided by 367? 351 What is the remainder when 129271 is divided by 218? 215 Calculate the remainder when 1310 is divided by 37. 15 What is the remainder when 19980 is divided by 3287? 258 What is the remainder when 5917 is divided by 320? 157 Calculate the remainder when 106504 is divided by 549. 547 What is the remainder when 751 is divided by 91? 23 What is the remainder when 338952 is divided by 67? 66 Calculate the remainder when 21603 is divided by 313. 6 What is the remainder when 34211 is divided by 104? 99 What is the remainder when 539 is divided by 120? 59 Calculate the remainder when 117 is divided by 13. 0 Calculate the remainder when 1984 is divided by 98. 24 Calculate the remainder when 29340 is divided by 699. 681 Calculate the remainder when 560 is divided by 29. 9 Calculate the remainder when 2201 is divided by 134. 57 Calculate the remainder when 1784 is divided by 956. 828 What is the remainder when 119948 is divided by 93? 71 Calculate the remainder when 232888 is divided by 166. 156 Calculate the remainder when 194401 is divided by 102. 91 What is the remainder when 5349 is divided by 270? 219 Calculate the remainder when 159 is divided by 41. 36 What is the remainder when 1332 is divided by 28? 16 What is the remainder when 13233 is divided by 13166? 67 What is the remainder when 48230 is divided by 641? 155 Calculate the remainder when 13126 is divided by 869. 91 What is the remainder when 334 is divided by 96? 46 What is the remainder when 102799 is divided by 25693? 27 Calculate the remainder when 2435 is divided by 38. 3 Calculate the remainder when 4262 is divided by 214. 196 What is the remainder when 6659 is divided by 51? 29 Calculate the remainder when 2810 is divided by 125. 60 What is the remainder when 659 is divided by 61? 49 What is the remainder when 7772 is divided by 72? 68 Calculate the remainder when 51661 is divided by 25791. 79 Calculate the remainder when 2159 is divided by 568. 455 What is the remainder when 831 is divided by 162? 21 What is the remainder when 236145 is divided by 17? 15 What is the remainder when 70353 is divided by 23447? 12 What is the remainder when 326406 is divided by 123? 87 Calculate the remainder when 20932 is divided by 121. 120 What is the remainder when 145410 is divided by 20770? 20 Calculate the remainder when 53681 is divided by 17891. 8 What is the remainder when 7329 is divided by 961? 602 Calculate the remainder when 2636824 is divided by 25. 24 What is the remainder when 15834 is divided by 37? 35 Calculate the remainder when 86035 is divided by 14329. 61 Calculate the remainder when 469053 is divided by 12. 9 What is the remainder when 828 is divided by 332? 164 What is the remainder when 2735 is divided by 41? 29 What is the remainder when 13153 is divided by 207? 112 Calculate the remainder when 4174 is divided by 699. 679 Calculate the remainder when 2803 is divided by 696. 19 What is the remainder when 55999 is divided by 667? 638 Calculate the remainder when 73911 is divided by 76. 39 What is the remainder when 40961 is divided by 8176? 81 What is the remainder when 23 is divided by 1? 0 Calculate the remainder when 199945 is divided by 46. 29 Calculate the remainder when 3547 is divided by 42. 19 Calculate the remainder when 44272 is divided by 21. 4 Calculate the remainder when 8808 is divided by 155. 128
{ "pile_set_name": "DM Mathematics" }
(a) + 15*g(a). 3*a**2 Let i(z) = -2*z - 4. Let h be i(-3). Let f(s) = 4*s**2 - s - 5*s**2 + h*s**2. Let k(b) = 2*b**3 - 6*b**2 + 5*b + 1. Let r = -203 + 208. Give r*f(c) + k(c). 2*c**3 - c**2 + 1 Let f = -6 + 1. Let k(p) = -4*p. Let s be (36/42)/((-1)/7). Let x(j) = 3*j - 2 + 2. Calculate f*k(g) + s*x(g). 2*g Let h = -38 - -58. Let w(n) = -24*n**3 - 20*n**2 + 20*n + 20. Let z(d) = -d**3 - d**2 + d + 1. Give h*z(p) - w(p). 4*p**3 Let u = 7 + -6. Suppose -u = y - 3. Let p(d) = d**2 + 2*d + 7. Let r(i) = -i - 3. Determine y*p(m) + 5*r(m). 2*m**2 - m - 1 Let y(q) = 10*q**2 + 10*q + 6. Let s(p) = -3*p**2 - 3*p - 2. What is -14*s(a) - 4*y(a)? 2*a**2 + 2*a + 4 Let i(q) = -12*q**3 + 3*q**2 - 3*q - 4. Let g(f) = 13*f**3 - 4*f**2 + 4*f + 5. Determine -3*g(b) - 4*i(b). 9*b**3 + 1 Let v(z) = -z + 2812 - 2812. Let s(o) = o**3 + 2*o**2 + 5*o - 1. What is -s(l) - 5*v(l)? -l**3 - 2*l**2 + 1 Let p(y) = 2*y + 2. Let s(o) = 2*o + 2. Suppose 3 = -a - 0. Calculate a*s(j) + 2*p(j). -2*j - 2 Let d = 0 + -3. Let l(r) = r + 1. Let m(s) = -2*s - 2. Suppose 2*h + 2 = -12. What is d*m(i) + h*l(i)? -i - 1 Let z(r) = 3*r + 7. Let b(m) = -2*m - 8. Give -4*b(k) - 5*z(k). -7*k - 3 Let d(o) = -2*o**2 - 3. Let r(q) = q**2 + 1. Calculate -d(p) - 3*r(p). -p**2 Let k(o) = -2*o**2 + 12*o - 14. Let d(h) = -h + 1. Determine -12*d(t) - k(t). 2*t**2 + 2 Suppose 0 = 2*s + 3*s - 3*v - 8, 4*s + 2*v - 2 = 0. Let o(g) = -6 + 2*g**3 + 0 - 6*g**2 - 6*g - g. Let q(h) = h**2 + h + 1. Determine s*o(n) + 6*q(n). 2*n**3 - n Let i(f) be the first derivative of -7*f**3/3 - f**2 - 1. Let u(x) = 2 + x**2 - 2. Suppose 4*v = -4*n - 4, -5*v - n - 2*n - 15 = 0. What is v*u(m) - i(m)? m**2 + 2*m Let k(v) = 10*v - 2. Let j(u) = -u + 1. Calculate 2*j(g) + k(g). 8*g Let m(x) = 4*x**2 + 2*x + 4. Let l(z) = -2*z - 1. Let b(q) = q - 2. Let u be b(3). Let c be l(u). Let t(p) = 7*p**2 + 4*p + 7. What is c*t(g) + 5*m(g)? -g**2 - 2*g - 1 Let j(p) = -p - 2. Let c(i) = 3*i + 6. Suppose -2*n = -3*r - 7, 0 = 2*r - 3*r + 3. Let x be 4/14 - 36/(-21). Suppose 12 = 2*k + x*k. Calculate k*c(b) + n*j(b). b + 2 Let p(q) = -6*q + 4 + 4*q - 2*q - 3*q. Let l(i) = -6*i + 3. Determine 6*l(h) - 5*p(h). -h - 2 Let p(n) = n**3 + n**2 - 1. Let d(s) = -2*s + 6*s**2 - 7 - 2*s**3 + 10*s**3 - 4*s**3. What is -d(i) + 6*p(i)? 2*i**3 + 2*i + 1 Let c(p) = -2*p**2 - 5*p - 8. Let o(b) = b + 1. Determine c(w) + 6*o(w). -2*w**2 + w - 2 Let i(h) = h**3 + 4*h**2 - 4*h. Let t(v) = -5*v**2 + 5*v. What is 5*i(x) + 4*t(x)? 5*x**3 Let k be -8 + (-215)/(-25) + (-66)/10. Let p(n) = 11*n. Let b(w) = -65*w. What is k*b(g) - 35*p(g)? 5*g Let x(r) = -r**2 - 6*r - 3. Let a be x(-6). Let k = 1 - a. Let z(q) = 2*q. Let n(o) = 1. Let d(j) = -j + 1. Let f(t) = -d(t) + n(t). What is k*f(w) - z(w)? 2*w Let v(g) = 7*g**2. Let t = -16 + 7. Let i(p) = 15*p**2. Determine t*v(l) + 4*i(l). -3*l**2 Let v(z) = -15*z**3 + 17*z**2 - 13*z. Let a(l) = 7*l**3 - 8*l**2 + 6*l. What is -13*a(c) - 6*v(c)? -c**3 + 2*c**2 Let r(n) = n. Let i(p) = -3*p - 1. Calculate -i(j) - 5*r(j). -2*j + 1 Let z(p) = p - 14. Let o be z(10). Let t be (o - -1)*4/(-6). Let w(y) = -2 - 2*y**2 - 3 + 4*y**t + 3*y**2. Let q(a) = -2*a**2 + 2. Calculate 11*q(k) + 4*w(k). -2*k**2 + 2 Let s(h) = 2*h**3 + 6*h + 3. Let g(k) = 9*k - 33. Let r be g(3). Let m(p) = 2*p**3 + 7*p + 4. Determine r*m(u) + 7*s(u). 2*u**3 - 3 Let z(q) = 18*q**3 - 24*q**2. Let h(d) = -d**3 + d**2. Determine -15*h(n) - z(n). -3*n**3 + 9*n**2 Suppose 5*o + c + 10 = 0, 0 = 5*o - 2*c + 38 - 13. Let g(a) = a + a + 4*a**2 + 2*a - 2. Let y(s) = -2*s**2 - 2*s + 1. Give o*g(f) - 7*y(f). 2*f**2 + 2*f - 1 Let l(o) = -15*o + 5. Let j(y) = -23*y + 8. Determine -5*j(i) + 8*l(i). -5*i Let a(x) = -77*x + 4. Let b(f) = -116*f + 6. Determine -8*a(u) + 5*b(u). 36*u - 2 Let q(a) = 21*a. Let t = 16 - 20. Let d(i) = -3*i. Calculate t*q(o) - 27*d(o). -3*o Let w(o) = 9*o**3 - 6*o - 6. Let i(v) = v**3 - v + 1. Give -6*i(b) + w(b). 3*b**3 - 12 Let a(t) = 2*t - 18. Let j(x) = -x + 9. Determine -2*a(i) - 5*j(i). i - 9 Let k be ((-6)/4)/(3/(-8)). Let x(b) be the third derivative of b**5/60 + b**4/8 - b**3/2 + 30*b**2. Let s(o) = -o**2 - 4*o + 4. What is k*x(c) + 3*s(c)? c**2 Let g(p) = -6*p**2 + 4*p - 4. Let h(b) = -b**2 + b. Suppose -1 + 10 = 9*y. Calculate y*g(f) - 5*h(f). -f**2 - f - 4 Let a(v) = 3*v - 2. Let q(s) = 6*s - 5. Let p be (-3)/(-2)*120/45. What is p*q(n) - 10*a(n)? -6*n Let q(o) = 4*o + 25. Let k(x) = 3*x + 25. Give 6*k(z) - 5*q(z). -2*z + 25 Let p(o) = -o**3 + o**2 - 1. Let t(v) = -10*v**3 + 9*v**2 - 9. Let u(x) = 2*x - 18. Let k be u(0). Give k*p(l) + 2*t(l). -2*l**3 Let d(q) = 6*q + 8 - 10 + 12 + 4*q. Let r(g) = -2*g - 2. Determine 3*d(k) + 14*r(k). 2*k + 2 Let h(k) = -k + 1. Let a(q) = -27*q - 4. Let c be a(-1). Let s = c - 27. Let b(n) = 3*n - 4 - 4*n**2 + n + 3*n**2. Give s*h(r) - b(r). r**2 Let h(b) = 1450*b**3 - 175*b**2 - 175*b. Let v(p) = -25*p**3 + 3*p**2 + 3*p. Calculate 3*h(n) + 175*v(n). -25*n**3 Let s(h) = h**2 - 1. Let b(w) be the first derivative of -1/3*w**3 + 1 - 1/2*w**2 + 3*w. Determine -b(x) - 2*s(x). -x**2 + x - 1 Suppose 4*m + 0 + 1 = -3*y, 12 = -4*y. Suppose 5*j - 16 = -3*p, 0*j - j + 4 = p. Let b(c) = -1 - 8 - 3*c**2 + 4*c**j. Let x(v) = -1. Give m*b(d) - 18*x(d). 2*d**2 Let o(q) = q + 3. Suppose -3*f + f + 28 = 0. Suppose f - 4 = 2*b. Let d(y) = 2*y - 1. Let v(l) = l + 1. Let j(n) = -d(n) + 3*v(n). Determine b*o(c) - 4*j(c). c - 1 Let g(v) = -2*v - 2. Let w(u) = u**3 + u**2 + u + 1. Let p be w(-1). Let i(q) = 2*q - 3 - 3*q + 2 + p*q + q**3. Give -g(j) + 2*i(j). 2*j**3 Let n(x) be the first derivative of 7*x**4/2 - 8*x**3/3 + 3*x**2 + 2*x + 17. Let l(h) = -5*h**3 + 3*h**2 - 2*h - 1. Give -8*l(u) - 3*n(u). -2*u**3 - 2*u + 2 Let a(f) = 5*f**3 + f - 5. Let n(k) be the third derivative of 13*k**6/60 + k**4/4 - 13*k**3/3 - 15*k**2. What is 16*a(p) - 3*n(p)? 2*p**3 - 2*p - 2 Let t = 0 - 1. Let l be 2 + -1 - 1/t. Let j(f) = f**l - 2*f**2 - 5*f - 5*f**3 + 7*f**3 + 5. Let k(u) = -3*u**3 + u**2 + 7*u - 7. Determine -7*j(s) - 5*k(s). s**3 + 2*s**2 Let k(i) = i**2 + i + 1. Suppose 0*l = -2*l + 92. Let b = -64 + l. Let n(v) = -10*v**2 - 9*v - 9. What is b*k(o) - 2*n(o)? 2*o**2 Let o(b) = 13*b**3 + 2*b**2 + 1. Let j(q) = -40*q**3 - 7*q**2 - q - 4. Let r(n) = -2*j(n) - 7*o(n). Let u(c) = 6*c**3 - c - 1. Calculate -3*r(l) - 5*u(l). 3*l**3 - l + 2 Let s(f) be the first derivative of -3*f**4/4 + 5*f**2/2 - 5*f - 48. Let v(h) = 2*h**3 - 4*h + 4. Calculate 4*s(w) + 5*v(w). -2*w**3 Let w(j) = -4*j**3 - 3*j**2 + 3*j + 9. Let a(s) = -4*s**3 - 2*s**2 + 2*s + 8. What is -3*a(z) + 2*w(z)? 4*z**3 - 6 Let n(m) = 2*m - 1. Suppose -3*y + 6 = -9. Let u = -10 - -12. Let h(l) = -4*l + 2. What is u*h(v) + y*n(v)? 2*v - 1 Let s(r) = 5*r**2 - 10*r - 7. Let c(x) = -3*x**2 + 7*x + 5. Determine -7*c(z) - 5*s(z). -4*z**2 + z Suppose 2*s = -2*s + 24. Let x(t) = -2*t**3 - 17*t**2 + 13*t - 13. Let m(i) = i**3 + 8*i**2 - 6*i + 6. Suppose -z + 51 = 38. Give s*x(v) + z*m(v). v**3 + 2*v**2 Suppose -m = 4*m - 35. Let f(s) = s**3 - 1 - 8*s + m*s + 0. Let t(k) = -3*k - 3. Calculate 3*f(j) - t(j). 3*j**3 Let l(y) = -2*y + 2. Let m(w) = -3*w + 2. Let d(r) = 5*l(r) - 4*m(r). Let h = 4 + 0. Let j(o) = 7 - 5 - 1. Determine h*j(s) - d(s). -2*s + 2 Let y(v) = v**2 - 23*v + 3. Let g(o) = -23*o + 2. Calculate 3*g(w) - 2*y(w). -2*w**2 - 23*w Let t(u) = -4*u**2 + 2*u - 1. Let w(q) = -2*q + 2*q - 3*q**2 + 2*q + 0*q. Calculate 2*t(x) - 3*w(x). x**2 - 2*x - 2 Let c(a) = 5*a**2 - a + 2. Let k(y) = y**2 - 19*y - 38. Let z be k(21). Let d(f) = -6*f**2 + 2*f - 2. What is z*c(w) + 3*d(w)? 2*w**2 + 2*w + 2 Let u(x) = 16*x + 13. Suppose -4*m - 4 - 13 = -3*g, -32 = -5*g + 3*m. Let h(v) = 5*v + 4. Give g*h(f) - 2*u(f). 3*f + 2 Let i = -6 + 0. Let c(o) = -4*o + 1. Let p(f) = 11*f - 3. Let a(t) = -t**3 + 5*t**2 + t + 2. Let s be a(5). Suppose -3*j + s = 58. Determine i*p(b) + j*c(b). 2*b + 1 Let h(i) = 8*i**3 + 6*i**2 + 8*i + 6. Let x(p) = -15*p**3 - 11*p**2 - 15*p - 11. Determine 11*h(v) + 6*x(v). -2*v**3 - 2*v Let m(y) be the first derivative of -4*y**2 + 7*y + 3. Let b(u) = -u**3 + 3*u**2 + 5*u + 2. Let o be b(4). Let d(q) = -7*q + 6. Give o*m(l) - 7*d(l). l Let t(u) = 5*u - 2. Let g(c) = -10*c + 4. Give -2*g(n) - 5*t(n). -5*n + 2 Let k = 1 - -6. Let h(w) = w. Let r be (7 - 2)*(3 - 2). Let x(s)
{ "pile_set_name": "DM Mathematics" }
ind i, given that 27*i + 111/7*i**2 + 54/7 - 96/7*i**3 + 12/7*i**v = 0. -1/2, 3, 6 Let f(r) be the first derivative of -3*r**4/28 - 13*r**3/7 - 51*r**2/7 + 144*r/7 - 644. Let f(z) = 0. What is z? -8, -6, 1 Let k be ((-18)/63 + 5244/(-21))*1. Let g be 20/k*2*(-15)/12. Suppose -1/5*r**2 + 0 - g*r = 0. Calculate r. -1, 0 What is a in 1146*a + 108*a**2 + 2155024 - 104*a**2 - 3065*a - 3953*a = 0? 734 Let q(n) be the second derivative of -n**5/80 - 11*n**4/16 - 105*n**3/8 - 675*n**2/8 + 101*n - 2. Solve q(s) = 0. -15, -3 Find o such that -24*o**3 - 26*o**5 + 12*o**4 - 28*o**5 + 58*o**5 - 88*o**3 = 0. -7, 0, 4 Let y be 371/(-35) + 12/20. Let c be 12/y*1425/(-456). Factor 5/4*m**2 + c*m + 5/2. 5*(m + 1)*(m + 2)/4 Let w(l) = 43*l + 19. Let s = -22 + 29. Let i be w(s). Factor 78*n - i - 5*n**2 - 61*n + 63*n. -5*(n - 8)**2 Let z(x) = x. Let j(p) = -p**2 - p - 9. Let m be j(-3). Let w(g) = 3*g**3 - 18*g**2 + 12*g + 18. Let v(h) = m*z(h) + w(h). Factor v(i). 3*(i - 6)*(i - 1)*(i + 1) Let q(f) = -9*f**4 + 26*f**3 + 90*f**2 - 2656*f - 11. Let y(i) = -5*i**4 + 12*i**3 + 45*i**2 - 1326*i - 6. Let n(z) = 6*q(z) - 11*y(z). Factor n(k). k*(k - 6)*(k + 15)**2 Let m be 4/((-8)/(-10))*54/10. What is o in -45*o**4 + 16 + 32 + 158*o - 96*o**3 + m*o**5 - 14*o + 72*o**2 = 0? -1, -2/3, 2 Let m be (-84)/(-4) - (-3 - (-20)/4). Determine n so that -14 + 3*n - 3*n**2 - m*n + n**2 = 0. -7, -1 Let t(p) be the third derivative of p**6/780 - 79*p**5/65 + 6241*p**4/13 - 3944312*p**3/39 + 521*p**2 - 2. Factor t(v). 2*(v - 158)**3/13 Let u(k) be the third derivative of k**8/2800 - k**6/200 + k**5/100 + 22*k**3/3 + 9*k**2 - 5*k. Let t(d) be the first derivative of u(d). Factor t(p). 3*p*(p - 1)**2*(p + 2)/5 Let c be ((-4)/12 + 51/18)*2. Suppose -c + 11 = 2*x. Suppose 11 + 12*p**2 - 3 - x*p**3 + p**3 - 20*p - 4*p**4 + 6*p**3 = 0. What is p? -2, 1 Let v be (259/(-14) + 18)*(0 + 0). Let p(y) be the second derivative of 0*y**2 + 1/6*y**6 + v + 0*y**5 - y + 0*y**3 - 5/12*y**4. Let p(c) = 0. What is c? -1, 0, 1 Let y(q) = 265*q - 1587. Let j be y(6). Let m(t) be the first derivative of 4*t**2 - 12 + 4/3*t**j + 0*t. Factor m(p). 4*p*(p + 2) Let d(t) = -16*t**2 - 70*t - 130. Let f(q) = -25*q**2 - 108*q - 195. Let h(j) = -14*d(j) + 9*f(j). Factor h(s). -(s - 13)*(s + 5) Solve -1/3*p**3 + 123008/3 - 4464*p - 80*p**2 = 0 for p. -124, 8 Find g, given that 492*g + 26*g**2 - 10*g**2 + 2168 - 12*g**2 + 1512 = 0. -115, -8 Let n(l) be the third derivative of l**6/1980 - l**5/165 + l**4/44 + 17*l**3/6 + 22*l**2. Let v(h) be the first derivative of n(h). Factor v(m). 2*(m - 3)*(m - 1)/11 Let f(q) be the third derivative of 0*q + 1/18*q**3 + 0 + 1/630*q**7 - 97*q**2 - 1/18*q**4 - 1/90*q**6 + 1/30*q**5. Determine o so that f(o) = 0. 1 Let a(u) be the second derivative of -u**6/240 + 7*u**5/32 - 67*u**4/96 + 11*u**3/16 - 4109*u. Let a(f) = 0. What is f? 0, 1, 33 Let p be 4/13 + 7392/15015. Suppose 1/5*a**4 - p*a**3 + 0 - 3/5*a**2 + 18/5*a = 0. Calculate a. -2, 0, 3 Let k(d) = d**4 - d**3 - 2*d**2 - 2*d. Let t(w) = -58*w**4 - 647*w**3 - 1029*w**2 - 334*w + 100. Let h(a) = -3*k(a) - t(a). Let h(l) = 0. Calculate l. -10, -1, 2/11 Let m(d) be the third derivative of d**6/120 + 43*d**5/60 + 77*d**4/3 + 490*d**3 + 840*d**2. Find t, given that m(t) = 0. -15, -14 Let u = -5710 - -5714. Find q such that -16/3*q**2 - 77/6*q**3 - 2/3*q - 49/6*q**u + 0 = 0. -1, -2/7, 0 Let r = -43 - -223. Factor 16*b**3 + 5544*b - 15*b**3 + 39945 + 5256*b + 176055 + r*b**2. (b + 60)**3 Factor 800/3 - 544*k + 1264/3*k**2 - 2/3*k**5 - 448/3*k**3 + 22*k**4. -2*(k - 25)*(k - 2)**4/3 Let n(s) be the third derivative of s**6/120 - 13*s**5/60 + 13*s**4/12 + 20*s**3/3 + 1876*s**2. Factor n(x). (x - 10)*(x - 4)*(x + 1) Let d be 1 - (30/6 + -6). Let w(v) be the third derivative of d*v**3 + 0*v - 1/20*v**5 - 3/8*v**4 + 0 - 18*v**2. Factor w(c). -3*(c - 1)*(c + 4) Suppose 62*v - 53*v - 27 = 0. Let w(p) be the third derivative of 0 - 19*p**2 + 0*p + 0*p**v + 1/16*p**4 + 1/240*p**5. Solve w(f) = 0 for f. -6, 0 Let w(u) = -u**2 - 43277*u - 173090. Let y be w(-4). Determine d, given that -4*d**y - 56/3*d - 32/3 = 0. -4, -2/3 Suppose -335/2*l**3 + 1/2*l**5 - 1092*l**2 - 768 - 1696*l - 3*l**4 = 0. What is l? -8, -1, 24 Let d be (-18 - 1) + (-115)/((-60950)/21518). Let 2019/5*v**3 - 120*v**4 + 48/5*v**5 + d*v + 0 - 180*v**2 = 0. What is v? 0, 1/4, 6 Let z(r) be the second derivative of 1/120*r**5 + 11/72*r**4 + 0 - 1/3*r**3 + 276*r + 0*r**2. What is h in z(h) = 0? -12, 0, 1 Suppose -45 = -18*a - 27. Let b be (-7 - (-390)/66)*a/(-3). Factor 0 - b*z**2 + 0*z + 6/11*z**3 - 2/11*z**4. -2*z**2*(z - 2)*(z - 1)/11 Let h = 6488 + -6471. Let v(p) be the first derivative of -9/2*p + h + 1/4*p**3 - 15/8*p**2. Factor v(u). 3*(u - 6)*(u + 1)/4 Let r = 165 + -106. Let a = r + -47. Factor 48*b**3 + a*b**4 + 2*b**4 + 10*b**2 + 6*b**4 + 6*b**2. 4*b**2*(b + 2)*(5*b + 2) Let v(g) = -19*g - 1. Let c be v(8). Let h be (-20)/(-119) + (-18)/c. Factor -h*i**2 - 2/7*i + 4/7. -2*(i - 1)*(i + 2)/7 Let p be (12/(-10) - 7/(-35))*-1761. Determine g, given that 1761 + 25*g - p + 5*g**2 = 0. -5, 0 Let i be 7 - -1 - 41/((-2706)/(-528)). What is y in 5/8*y**2 + 1/4*y + i - 1/8*y**5 - 1/8*y**4 + 3/8*y**3 = 0? -1, 0, 2 Let j(t) = 4*t**3 + 81*t**2 - 2250*t + 20818. Let u(m) = 3*m**3 + 82*m**2 - 2276*m + 20816. Let n(k) = 4*j(k) - 5*u(k). Factor n(x). (x - 34)**2*(x - 18) Let l be 42/(49/7) - -60. Let t be 13/((-143)/l) + (-22)/(-3). Let -4/3 + t*j - 1/3*j**3 + 1/3*j**2 = 0. What is j? -2, 1, 2 Let j(i) be the third derivative of -3*i**7/35 + 19*i**6/30 + i**5/30 - 19*i**4/6 + 8*i**3/3 + i**2 + 203*i - 14. Solve j(d) = 0. -1, 2/9, 1, 4 Suppose -2*z - 722 = -20*i + 15*i, 0 = 2*i + 2*z - 286. Find v, given that 81*v**2 - 5 + 1 + 29 + i*v + 39 = 0. -8/9 Let q(z) be the first derivative of -z**6/72 + 23*z**5/24 - 4*z**3 - 37. Let f(y) be the third derivative of q(y). Factor f(d). -5*d*(d - 23) Determine n so that 350*n - n**4 + 117 + 95*n**2 + 253*n**2 + 22556*n**3 - 22442*n**3 = 0. -1, 117 Determine z so that 335*z**2 + 348*z**4 + 450 + 268*z**2 - 345*z**4 - 39*z**3 - 42*z**3 - 975*z = 0. 1, 10, 15 Let r = -2990 - -2995. Let p(j) be the second derivative of 0 + 7*j - 3/140*j**r + 3/28*j**4 - 3/14*j**3 + 3/14*j**2. Suppose p(u) = 0. Calculate u. 1 Factor -6/7*l**3 - 558/7*l + 0 - 204/7*l**2. -6*l*(l + 3)*(l + 31)/7 Let g(p) be the second derivative of p**4/9 - 4*p**3 + 34*p**2/3 + 1764*p. Factor g(q). 4*(q - 17)*(q - 1)/3 Let d be (-1008)/441*7/(-5). Suppose m = 4*m - 5*q, 0 = -3*m + 3*q. Determine f so that 16/5*f + d*f**2 + 4/5*f**3 + m = 0. -2, 0 Let x(u) = 124*u**4 + 404*u**3 + 468*u**2 + 211*u + 50. Let v(o) = -62*o**4 - 202*o**3 - 234*o**2 - 106*o - 24. Let c(a) = 9*v(a) + 4*x(a). Factor c(i). -2*(i + 1)**3*(31*i + 8) Let l = -2023 - -5541/4. Let i = l + 638. Determine j so that i*j**3 + 0 - 1/2*j**2 + 0*j = 0. 0, 2 Let f(k) be the first derivative of -51/5*k**5 - 63*k**3 - 12*k + 87/2*k**2 + 98 + 165/4*k**4. Factor f(u). -3*(u - 1)**3*(17*u - 4) Let q = -3/833 + 839/1666. Let g(d) be the second derivative of 1/4*d**4 + 3/20*d**5 + 2*d - 3/2*d**2 + 0 - q*d**3. Factor g(p). 3*(p - 1)*(p + 1)**2 Let p(b) be the second derivative of b**5/90 - 5*b**4/54 - 8*b**3/27 + 16*b**2/3 - 71*b - 7. Suppose p(w) = 0. Calculate w. -3, 4 Let h(t) = -8*t**2 + t + 4*t**2 + 2*t**2 + 2. Let c be h(0). Factor -5*k - 6*k + 4 + 7*k - c*k**3 - k**2 + 3*k**3. (k - 2)*(k - 1)*(k + 2) Let j = -79/59 + 57572/43129. Let y = j - -2933/2193. Solve y*f**3 + 12*f - 16/3 - 8*f**2 = 0 for f. 1, 4 Let d(i) be the third derivative of i**6/24 + 839*i**5/6 + 3519605*i**4/24 + 160*i**2. Factor d(f). 5*f*(f + 839)**2 Let z be (-1)/(-4) - (-336)/192. Let s(j) be the second derivative of 0*j**z + j**3 - 1/12*j**4 + 0 - 10*j. Factor s(v). -v*(v - 6) Solve -1/6*y**3 + 1/6 + 1/2*y**2 - 1/2*y = 0. 1 Suppose 20 = 2*y + 3*y + 5*o, 0 = -y - 2*o + 5. Let p(r) be the first derivative of y*r - r**2 - 21 + r**3 - 2*r**2 + 7 - 9. What is j in p(j) = 0? 1 Solve -2/3*f**3 + 2/3*f + 1/2 - 1/3*f**2 - 1/6*f**4 = 0 for f. -3, -1, 1 Let a(h) be the second derivative of h**6/345 + 97*h**5/230 - 33*h**4/23 - 1330*h - 1. Determine x, given that a(x) = 0. -99, 0, 2 Let l(s) = 4*s**3 - 2150*s**2 - s. Let z(f) = -f**3 - f. Let u(d) = -l(d) + z(d). S
{ "pile_set_name": "DM Mathematics" }
3 (e) -5 c Which is the nearest to 2/37? (a) 0 (b) -4 (c) 30/7 (d) 1/3 (e) 0.3 a What is the closest to -231 in -5, 4/3, 11, 5, -1? -5 Which is the closest to 0? (a) -6/19 (b) 4.22 (c) 1/4 c What is the closest to -0.3 in -3, -0.1, 0.1, -1273, -1/6? -1/6 Which is the nearest to -0.1? (a) -2/3 (b) 2/11 (c) 1.47 (d) -0.1 d What is the closest to -1 in 0.8, -0.1, -21, -227? -0.1 Which is the closest to 3/4? (a) 5/3 (b) -1 (c) 4 (d) 0.21 d What is the nearest to 4/9 in -1.2, -73, -3/2? -1.2 Which is the closest to -0.1? (a) -4 (b) 2 (c) 0.2 (d) 0.1 (e) -101 d Which is the nearest to 6? (a) -2/45 (b) -0.023 (c) 0.4 (d) 3/2 d Which is the nearest to 113? (a) 1 (b) 4 (c) -4 b Which is the closest to -1? (a) -0.7 (b) -51718 (c) -2/11 a Which is the nearest to 4? (a) -2 (b) 9 (c) 8 c Which is the closest to -2/3? (a) -14 (b) -2 (c) -4 (d) 0.8 b Which is the nearest to 122? (a) 1/2 (b) -0.09 (c) -7.4 a What is the closest to 0 in -55/4, 13/6, 1.5, 0.1, -3? 0.1 What is the nearest to -2/5 in 4, -1/7, -63? -1/7 Which is the closest to -0.1? (a) 3 (b) 5 (c) 0.2 (d) -0.458 c Which is the nearest to -5? (a) -0.4 (b) -0.5 (c) 18/19 (d) -6 (e) -2 d Which is the nearest to 1.0244? (a) -5 (b) -2/59 (c) -0.4 b What is the closest to -3 in 2/11, 8, -5, -1/2? -5 What is the nearest to 1/3 in 0.1, 114, 0.3, 1/2, 0.06? 0.3 What is the closest to -1 in -4/7, -8, -4/9, 713, 1? -4/7 What is the closest to 2/3 in 3/5, -2, -0.006, -5, -3? 3/5 What is the nearest to -1.1 in 0.4, -0.122, -1, -1.8? -1 What is the nearest to 10 in 2, 113, 3, 1/8, -0.3? 3 Which is the closest to -2/45? (a) 2/33 (b) 2 (c) 28/9 a What is the nearest to -0.46 in 0.12, 1, -87? 0.12 What is the closest to -1/6 in 0.634, 4, 0, 2? 0 What is the closest to 0.11 in 195, -0.2, -4? -0.2 What is the nearest to 1/2 in 32, -2538, 0.1? 0.1 What is the closest to -4 in 2/9, -2, 148, 31? -2 What is the nearest to 1 in -3/7, -5, 28, -0.7? -3/7 Which is the nearest to -0.2? (a) -4/5 (b) -2 (c) 6152 (d) 3 a Which is the nearest to 12/17? (a) -16.5 (b) -1 (c) 1 (d) -0.3 c Which is the nearest to 0.1? (a) -22/17 (b) -2/15 (c) 17 (d) 6 b Which is the nearest to 1? (a) 1.9 (b) -0.01 (c) 1 (d) -29 (e) 2 c What is the closest to -1 in -4, -5, 12, 0.01, -3/5? -3/5 What is the closest to 9 in 0.4, 0.2, 0.1, 294? 0.4 Which is the closest to 609? (a) -2/7 (b) 6/37 (c) 0.05 b What is the closest to -0.015 in 3, -2/9, -24, -6? -2/9 What is the closest to -9 in -2/19, 1, 0.03, 7? -2/19 What is the closest to -3 in -0.1, 121, 0.07, -4, 1/13? -4 What is the nearest to 0.5 in -2, 2/7, -2/5, 1700? 2/7 Which is the nearest to -0.1? (a) 2/9 (b) 0.3 (c) 10/9 (d) 0.04 (e) 4 d What is the nearest to 82 in 1, 2/13, -0.3, 5/4, 2/23? 5/4 What is the nearest to 0.3 in 201, 0.5, -0.2, 1? 0.5 What is the closest to 3 in -0.5, -0.4, 7577? -0.4 Which is the nearest to -1? (a) -5 (b) 6634 (c) -11 a What is the closest to 16636 in 0, -4, -0.3? 0 What is the closest to 0 in -796, 1/3, -0.048? -0.048 What is the closest to 0.01 in 4, 50, -1/9, 3/4? -1/9 What is the nearest to 62 in -2, -67, 1? 1 What is the closest to 8 in -5, 6, -35? 6 What is the nearest to 125 in -5, 2, 0.3, -14? 2 Which is the closest to 0? (a) -3.4 (b) 0.3 (c) 1 (d) -0.1 d Which is the closest to 6749? (a) 2 (b) -1/3 (c) 5 c What is the nearest to 222 in -234, 3, 2/13, 2? 3 Which is the closest to -1/7? (a) -18 (b) -0.265 (c) 10 b Which is the closest to -29? (a) -2/3 (b) 1/315 (c) -3 c What is the nearest to 1 in 3, -2/5, -0.4304? -2/5 What is the closest to 0 in 0, 2, 16551? 0 Which is the closest to 519? (a) -0.5 (b) 0.1 (c) 0.053 b What is the nearest to 10 in -245, -0.2, -4/5, -5, 4? 4 What is the closest to 0 in 3, -1/425, -659? -1/425 What is the nearest to -7243 in 0, -4, 4, -1/6? -4 What is the closest to 0.1 in 19/32, 3/2, -1, 3/4? 19/32 What is the nearest to 6 in 3, -4, 1558, 0? 3 Which is the closest to 10.5? (a) -6 (b) -6/11 (c) -1 b Which is the closest to 131/7? (a) 0.5 (b) -11 (c) -2/3 (d) 2 d What is the nearest to 2/3 in 371, -16, -3, 1/5, -4? 1/5 What is the closest to -2/7 in 0.0278, 3, 2, 0, 0.03? 0 What is the nearest to -2 in 5, -0.137, 1/3, -2/5? -2/5 Which is the nearest to 1? (a) -200/11 (b) 1/6 (c) -1/7 b Which is the closest to 4? (a) -6/11 (b) -32.9 (c) 0.1 (d) 3 d Which is the nearest to -2427? (a) -2/49 (b) -3 (c) -1 b Which is the closest to 2/5? (a) 0.2 (b) 200 (c) 2/3 (d) 1/6 (e) -4 a Which is the nearest to 2/3? (a) 0.3 (b) -1614 (c) 0.6 c What is the closest to -116 in 0.2, -3, -7, 5? -7 Which is the closest to 67? (a) 1 (b) 1/5 (c) -1/9 a Which is the nearest to 0? (a) 1 (b) -3/4 (c) 14 (d) 2/7 (e) 8/63 e Which is the closest to 3/25? (a) -0.09 (b) 5/4 (c) 2 (d) 2/3 (e) -6 a What is the closest to -13 in -2, -3/319, 1/2? -2 Which is the nearest to 1? (a) 5 (b) -2/109 (c) -0.2 (d) 2/21 (e) 88 d What is the closest to -2 in 5/4, -3, -61679? -3 What is the closest to 0.2 in 1/3, -43794, -1/3, 0.6, -1? 1/3 What is the nearest to -1 in 9, -2/529, -3? -2/529 What is the closest to -1 in 16, 2/3, -28, -7? 2/3 Which is the nearest to -16? (a) -34 (b) -10 (c) 6.7 b What is the closest to -2/247 in -6/7, 2, -1, 1? -6/7 What is the closest to 0.1 in -0.2, 7, 0.2, 1753? 0.2 Which is the closest to 0.3? (a) 130.7 (b) 0 (c) 5 b What is the nearest to 1 in -5, 0.1082, 0.5, 20? 0.5 What is the nearest to -2/7 in 4, -4, -0.25, -1/6? -0.25 Which is the closest to -1? (a) -149.5 (b) -2 (c) 1/3 (d) 0.1 b What is the nearest to 20 in -9, -2, 0.3, 3/7? 3/7 Which is the nearest to -12/13? (a) -0.1 (b) -0.21 (c) -1/4 (d) 9.5 c Which is the closest to -680? (a) 11 (b) 0.4 (c) -14 c Which is the closest to -5? (a) 2/11 (b) 70 (c) 0.04 c What is the closest to 0 in 198, 0.2, 1.2? 0.2 What is the nearest to -1/4 in -1/7, 1/2, -0.2, -3.708, -3? -0.2 What is the closest to -1/7 in -3/8, 1/3, 0.01, -39/4, -25? 0.01 Which is the nearest to 2? (a) -4 (b) -2 (c) -0.15728 (d) -0.1 d What is the nearest to 0 in 3/5, -0.2, 33.481, 0.3? -0.2 Which is the closest to -2/7? (a) -2/11 (b) 2 (c) 0.3 (d) 28/145 a Which is the nearest to 0.06? (a) 7676 (b) 2/9 (c) 3 (d) -1 b What is the closest to -0.1 in 3, -4310/33, 2/11, 2? 2/11 Which is the nearest to 2? (a) -109 (b) -4 (c) 5 (d) 3 d Which is the closest to -3/7? (a) 2/5 (b) 2 (c) 189 (d) -0.1 d What is the nearest to 63 in 0.13, -3, -17? 0.13 Which is the closest to 910/9? (a) -0.1 (b) -2 (c) -2/13 a Which is the nearest to -1? (a) -0.4 (b) 884 (c) 2/3 (d) -15 (e) 0.4 a Which is the closest to 0.07? (a) -8/9 (b) -2 (c) -20.4 a Which is the closest to -0.0101? (a) -0.64 (b) 0.3 (c) -2 b Which is the nearest to -120? (a) -0.2 (b) -0.1 (c) -0.06 (d) -8 (e) 0.1 d What is the nearest to -3/35 in 1/4, -3/5, -2/9, -0.2, 1? -0.2 Which is the closest to -0.63? (a) -15/2 (b) -0.3 (c) -2/3 c Which is the closest to -0.1? (a) 10 (b) 2128 (c) 2 c Which is the closest to -1/2? (a) -1 (b) -0.2 (c) -46.5 b Which is the nearest to 0.2? (a) 0.1 (b) 0 (c) 3 (d) 11/9 (e) 3/4 a Which is the closest to 14.5? (a) -11 (b) 6 (c) 4/7 b Which is the nearest to 2? (a) 18.31 (b) -5 (c) -0.2 c What is the closest to -2/7 in 2, 11/32, -4, -3/11? -3/11 What is the closest to 8 in 2/5, -3/4, 2/15, -4? 2/5 Which is the nearest to -129? (a) 2/3 (b) 7 (c) 2/11 c Which is the nearest to 2.33? (a) -0.2 (b) 0 (c) -2 (d) 3 (e) 40/17 e Which is the nearest to -2/5? (a) 1/13 (b) -0.3 (c) -58 b Which is the closest to 1? (a) -0.5 (b) -10.2797 (c) -3/2 a Which is the nearest to -5? (a) -0.0012 (b) 2 (c) 8 a Which is the nearest to 0.31? (a) 0.02 (b) 11 (c) -47 a What is the closest to -1.94 in 4, -0.1, 0.121? -0.1 What is the closest to -2/15 in -1, 0.1, 2, 3/445, 1/2? 3/445 What is the closest to 2/9 in -0.1, 3, -0.59, 1, 6? -0.1 Which is the closest to -196? (a) -1 (b) 4 (c) -1/2 (d) 2 (e) 1/2 a Which is the closest to 12? (a) 19 (b) -0.1 (c) -19 a What is the nearest to 5/11 in -1/71, 2, -2? -1/71 Which is the closest to -2/3? (a) -4 (b) 13/3 (c) 220 a Which is the closest to -198? (a) -2 (b) -9/2 (c) 3/4 b W
{ "pile_set_name": "DM Mathematics" }
et k = w - -42/155. What is the common denominator of k and 59/2? 4 Let u = 876307/63 + -13907. Let m = 34/9 - u. Let h = 4614 - 41576/9. Calculate the common denominator of h and m. 63 Let z = 366 - 255. Calculate the smallest common multiple of z and 5. 555 Suppose 0 = 4*z, -5*u + 5*z + 3 - 8 = 0. Find the common denominator of (-270)/42 + u/(-1) and 49/2. 14 Suppose 3*a - 2*y = 2*a - 1, a + 3 = 4*y. Let m be (-64)/(-26) - a - -1. Let h = -441/26 + m. What is the common denominator of h and 51/7? 14 Let t = 61 - 59. Let w = 8 + -5. Suppose -n + w = -5. What is the smallest common multiple of t and n? 8 What is the common denominator of (-3)/(-42)*75 + (-1)/(-1) and -25/168? 168 Let x be 10/70 + 27049/(-7). Let p = x + 38547/10. Find the common denominator of p and 63/16. 80 Let u = -1/2850 - -59/59850. Let g = 1283/525 + u. Calculate the common denominator of g and 71/4. 36 Suppose -4*v - t = -v - 238, -t = -5*v + 402. Calculate the smallest common multiple of v and 2. 80 Let u = 33 + -15. What is the lowest common multiple of 63*((-2)/(-6)*-4 + 2) and u? 126 Let a(m) = -1. Let n(s) = -s - 2. Let w(h) = -6*a(h) + n(h). Calculate the least common multiple of w(-7) and 4*2/(-3)*-3. 88 Let y = -13/7 - -131/14. Calculate the common denominator of -163/42 and y. 42 Let o = -48/5 - -869/90. Calculate the common denominator of 43/22 and o. 198 Let m = 4 - 6. Let h be (m + (-1)/(-3))*-3. Suppose 50 = 5*v + h*z, -2*v - 5*z + z = -16. What is the lowest common multiple of 8 and v? 24 Let m = 4538791 - 1366174233/301. Let x = 65/86 + m. Let n = 182/25 + -1987/400. Calculate the common denominator of n and x. 112 Suppose 0 = 5*p + 3*w - 501 - 114, -3*p = w - 373. Calculate the common denominator of 34 and (-12)/42 - (-680)/p. 9 Let g(u) = 259*u**3 + u. Let z be g(1). Let n = -1276/5 - -5469/20. Calculate the common denominator of n and z/(-32) + 1/(-4). 8 Let o = 3/347 + -14251/2776. Find the common denominator of o and -18/7. 56 Suppose -u - 2 + 14 = 0. Let q = -6 + u. What is the smallest common multiple of q and 4? 12 Let i(u) = -12*u**3 + u**2 - 3*u - 3. Let h(b) = 13*b**3 - b**2 + 4*b + 4. Let y(j) = 3*h(j) + 4*i(j). Calculate the lowest common multiple of y(-1) and 1. 10 Let q(p) = -p**3 + 11*p**2 + 10*p - 18. Let y be q(12). Calculate the common denominator of (9/96)/((-3)/y) and -77/12. 48 Suppose 0 = -5*z - 2*v + 40, 0*z = 2*z + 2*v - 16. Calculate the lowest common multiple of 20 and z. 40 Suppose -68 - 32 = 5*r. Let y = -9 - r. What is the lowest common multiple of y and 5? 55 Let f(j) = -4*j**2 + 6. Let c(l) = -7*l**2 + 11. Let y(s) = -3*c(s) + 5*f(s). Let u(z) = z. Let q be u(-3). Calculate the least common multiple of 8 and y(q). 24 Let m = -159233/18 + 8841. What is the common denominator of m and -115/6? 18 Suppose -14*p + 10 = -13*p. Calculate the least common multiple of 4 and p. 20 Let a be -2 - (-7)/((-7)/(-24)). Suppose 0 = -4*j + a + 2. Let l(k) = -11*k**3 + k**2. What is the smallest common multiple of j and l(-1)? 12 Let g = 1395285/64 - 21800. What is the common denominator of g and -65/8? 64 Let p(t) be the third derivative of -t**4/6 + 5*t**3/6 - 2*t**2. What is the common denominator of -29/11 and p(-4)? 11 Let t = -5 + -15. Let o = 34 + -24. Calculate the least common multiple of ((-2)/5)/(2/t) and o. 20 Let s be (-4)/(-6) - 4792/(-3). Suppose -y + 3683 = 5*g, g - 9381 = -3*y + s. Let x = y - 80495/22. Calculate the common denominator of -23/20 and x. 220 Suppose -5*s = 11 - 61. Calculate the least common multiple of 10 and s. 10 Let x(p) be the second derivative of p**5/20 - 5*p**4/6 + 3*p**3/2 + 6*p**2 + 2*p. Calculate the lowest common multiple of (-4)/16 - (-146)/8 and x(9). 36 Let r = -18 - -31. Let n = r - 9. What is the lowest common multiple of n and 1? 4 Calculate the lowest common multiple of 0 + -1 + (-5)/((-20)/36) and 6. 24 Suppose -2*s - d + 23 = 0, 2*s - 4*s = 3*d - 29. Let p(q) = -9*q. Let o = 2 + -4. Calculate the lowest common multiple of s and p(o). 90 Let h = -23 + -7. Find the common denominator of (-4)/(-10) + h/4 and ((-3)/35)/((-4)/190). 70 Let f(d) = -d**2 + 2*d - 6. Calculate the common denominator of f(6) and 8/11. 11 Let z(p) = 2693*p**3 - p**2 + 1. Let s be z(1). Let g = s - 37717/14. Calculate the common denominator of g and 99/(-8) + 1/4. 56 Suppose 0 = 5*c - 5, -p - 2*c = -0*c + 105. Calculate the common denominator of -4 + p*3/(-108) and 31/4. 36 Let o be 3/4 + 1/4. Let f be o/(-3) - 5149/(-3). Let n = f - 37783/22. Find the common denominator of n and -113/10. 110 Suppose -12*b + 36 = -3*b. Calculate the smallest common multiple of 62 and b. 124 Find the common denominator of (3 + 153/(-12))/((-45)/7) and 69/2. 60 Let w(v) = -2*v**2 + 18*v + 23. What is the least common multiple of 8 and w(10)? 24 Let p = -11 - -15. What is the smallest common multiple of p and 18? 36 Let u(g) = -3*g - 1. Let w be u(-2). Suppose -28 = -w*q + 3*y, -3*q - 2*q + 4*y = -24. Let f(v) = -2*v + 8. What is the least common multiple of q and f(0)? 8 Let a(y) = -4*y + 1. Let w be a(-1). Let u(j) = 5*j - 3. Calculate the least common multiple of 22 and u(w). 22 Let j be (2546/(-21))/(72/105). Let w = j + 1/180. Let g = w + 174. Calculate the common denominator of 67/9 and g. 45 Let u(b) = 5*b**3 + 3*b**2 - 2. Calculate the lowest common multiple of u(1) and 12. 12 Let t = 1738194736882/2525 - 688393966. Let o = t - 2/2525. Calculate the common denominator of o and 55/3. 15 Calculate the common denominator of 67/2 and (-15624)/(-4416) + 1 + -4. 184 Let p(f) = -f**2 + 7*f + 2. Let j = -1 - -4. Suppose z = d - 11, 4*d - 55 = j*z - 12. Calculate the lowest common multiple of d and p(4). 70 Let c be (-3)/3 + -1 + -4. Let y = c - -1. Find the common denominator of (y - -2) + (-149)/(-10) and -47/4. 20 Suppose 5*d - 58 = 4*x, 85 = 5*d - x + 6*x. What is the least common multiple of 6 and d? 42 Calculate the common denominator of 2 - -6*(-58)/40 and 103/6. 30 Suppose -4 = -4*h, -p - 448 = -3*h + 1180. Let v be 4/(-14) + (-271046)/(-168). Let q = p + v. Calculate the common denominator of -69/16 and q. 48 Suppose j - 9 = 5*w + 11, -4*j + 4*w + 64 = 0. Calculate the lowest common multiple of 42/5 + 4/(-10) and -1*6/j*-20. 8 Let s(r) = -r**2 + 5*r - 2. Suppose 5 = -3*x + 20, 4*j - x = -25. Calculate the lowest common multiple of s(3) and (11/3)/(j/(-15)). 44 Let r = -38 + 45. What is the smallest common multiple of r and 7? 7 Suppose h = 2*h + y - 8, 0 = 5*h - 2*y - 33. Let o = 12 + -3. Calculate the smallest common multiple of h and o. 63 Let x(r) = r**3 - 2*r**2. Let u be x(2). Let f = 391/14 + -52/7. Find the common denominator of f and 1/8*(89 - u). 8 What is the common denominator of (-1869)/378 - (-4 + 0) and 73/10? 90 Let z = 11797 - 896589/76. Let d = z - 1549/380. Find the common denominator of 53/10 and d. 10 Suppose -i = 1 - 11. Suppose 0 = 3*n - 20 - 13. Calculate the least common multiple of i and n. 110 What is the least common multiple of 7*2*36/28 and (-72)/(-4) + 2 + -4? 144 Let i be 1 - (1 - (-179)/4). Let w be 1 + (-14)/140*841/2. Let p = i - w. Find the common denominator of 74/3 and p. 30 Suppose -2*b - 3*k = -3*b + 4, -2*k = -4*b + 16. Let p(q) be the second derivative of q**3 - 3*q**2 + 3*q. Calculate the lowest common multiple of b and p(4). 36 Let p = -243803/22 - -11084. Find the common denominator of 93/14 and p. 154 Let y(l) = l**3 - 5*l**2 + 5*l + 2. Suppose -h = 3*h - 16. What is the smallest common multiple of y(h) and 12? 12 Suppose 2*f - 4 - 12 = 0. Suppose -5 = -j - j - 3*z, 25 = j - 3*z. What is the least common multiple of f and j? 40 Calculate the common denominator of -1/14 and (2/(-12))/(25/1785). 70 Let h = -736 - -7419/10. What is the common denominator of (-4)/3*(7 - 40) and h? 10 Let w = 4/40059 - 404635975/160236. Let x = w - -110941/44. Find the common denominator of 71/10 and x. 110 Let m(v) = -v**2 + 6*v - 8. Let d be m(8). Find the common denominator of 69/20 and -1 - 4/(d/107). 60 Let v = 184513/16 + -11537. What is the common denominator of v and 71/12? 48 Calculate the common denominator of 1/24*(-387)/(-3) and -15/7. 56 Let m = 5382 + -48499/9. What is the common denominator of (-72)/(-64)*(-1)/(30/88) and m? 90 Find the common denominator of (4/130)/(5 + 6105/(-1225)) and
{ "pile_set_name": "DM Mathematics" }
23 composite? True Is 46469988611 prime? True Is 8886965669 a composite number? False Is 1084443793 composite? True Is 560904859 a composite number? False Is 185092223 composite? False Is 4124008321 prime? False Is 1320843059 a composite number? False Is 12739265603 prime? False Is 33836820097 a prime number? False Is 371377157 a composite number? True Is 82763849573 a prime number? True Is 6349978469 a prime number? False Is 688149917417 prime? True Is 12453743611 prime? True Is 755785769 a prime number? True Is 798532871 a composite number? False Is 1275503653 composite? False Is 6853663573 prime? False Is 345775639 a composite number? True Is 32290699559 a composite number? True Is 709533919 prime? False Is 2283830891 composite? True Is 3708560837 a composite number? False Is 13764631493 prime? True Is 4850429887 a composite number? True Is 39478327703 a prime number? True Is 460724497 a prime number? False Is 31245268449 a prime number? False Is 16004508727 a prime number? True Is 2285014057 composite? True Is 1264862663 prime? False Is 3672154997 a prime number? False Is 9657881491 prime? True Is 594356723 prime? False Is 59311507 a composite number? False Is 1119138299 a composite number? False Is 1810453243 prime? True Is 742184637 a prime number? False Is 19211651197 prime? False Is 20152329151 prime? False Is 575167315 a composite number? True Is 496781033 a composite number? True Is 8507707631 composite? True Is 30537167273 a prime number? True Is 11193475229 a prime number? False Is 17768909062 prime? False Is 2344210181 prime? False Is 6278381269 a composite number? False Is 10973572069 a composite number? True Is 61668989 prime? True Is 849048701 a prime number? True Is 50506036771 a prime number? True Is 270631453 composite? False Is 3722422019 a prime number? False Is 161911457 a prime number? False Is 5639117681 prime? True Is 1014628907 prime? True Is 117291098807 a composite number? True Is 4835880173 a composite number? False Is 632210321 prime? True Is 12092543 a prime number? True Is 5356654267 a composite number? False Is 51781120331 a prime number? True Is 53768219 composite? True Is 6109017037 a composite number? True Is 304490265629 a composite number? True Is 206105357 a prime number? True Is 1967593951 a prime number? False Is 946801997 a prime number? False Is 718817819 a prime number? True Is 4657920401 a composite number? False Is 48177402359 prime? True Is 91063901 composite? False Is 2210177 composite? True Is 978658433 a composite number? True Is 12409290445 a prime number? False Is 289319537 composite? True Is 494995103 prime? False Is 259049783 a composite number? False Is 105937490723 composite? True Is 9403238689 prime? False Is 384044987 composite? False Is 1913158407 a composite number? True Is 3025671833 prime? True Is 1388626957 a prime number? True Is 815923421 a prime number? True Is 1304755699 a prime number? False Is 1218148619 a composite number? False Is 24015496259 a prime number? False Is 47613859 a composite number? True Is 555692509 prime? True Is 671149753 a prime number? False Is 6759854773 composite? True Is 8172295057 composite? True Is 324781042831 a prime number? False Is 295794581 a composite number? False Is 15509164709 a prime number? True Is 1265029151 prime? False Is 2226461693 prime? True Is 11067749591 prime? False Is 8883243403 prime? True Is 739623439 prime? True Is 20235981239 prime? False Is 2839676563 prime? False Is 26221988017 a composite number? False Is 2999281427 prime? True Is 1736071927 a prime number? True Is 284359013 a prime number? True Is 1084969981 prime? False Is 9007889041 a prime number? True Is 116291884499 a prime number? False Is 5009783159 a prime number? False Is 1776254171 composite? True Is 1106328149 prime? True Is 205651876061 composite? False Is 5318011453 a prime number? True Is 21870305003 composite? False Is 11833153109 a composite number? False Is 405390331 a composite number? True Is 1582853383 composite? False Is 230683669 composite? False Is 7344842689 a composite number? True Is 57720839 prime? False Is 12348086533 a composite number? True Is 3163497367 a composite number? False Is 4424960909 a composite number? False Is 1117692533 a composite number? False Is 19365986399 a composite number? False Is 9760123937 prime? True Is 773333518 composite? True Is 2347003889 a composite number? True Is 9504209903 a composite number? False Is 18906059773 prime? True Is 2085941579 prime? True Is 58964447 a composite number? False Is 179240717 a composite number? False Is 261831341 composite? False Is 310470197 prime? True Is 875136433 a prime number? False Is 42925981369 composite? True Is 21638719 a prime number? True Is 20359884001 composite? False Is 6208258669 prime? True Is 35784533399 a composite number? False Is 1306699517 prime? True Is 16367168893 a composite number? False Is 214880621 a prime number? False Is 799049347 composite? True Is 35866977767 a composite number? False Is 2081157409 a prime number? True Is 20617589 a composite number? True Is 585303013 a prime number? False Is 97680409027 a composite number? True Is 124748713893 a prime number? False Is 17607165751 prime? False Is 9407460373 a composite number? True Is 8759447971 prime? True Is 1015836271 prime? False Is 2532362587 a prime number? True Is 1313662711 a composite number? False Is 3306662747 composite? False Is 85302553597 a prime number? True Is 51420516787 a composite number? True Is 9092850769 a composite number? False Is 701265641 a prime number? False Is 178232111 a prime number? False Is 14149290319 a prime number? False Is 21221509739 composite? False Is 7748957743 a prime number? True Is 10064620493 a prime number? True Is 501090139 composite? True Is 6275134447 a composite number? True Is 2554190269 a composite number? False Is 506828639 composite? False Is 12549388987 prime? True Is 2323607393 prime? True Is 78459203689 prime? False Is 14390689249 a prime number? False Is 2566312811 composite? False Is 252969943 a prime number? True Is 3648443111 a prime number? True Is 154066737295 a prime number? False Is 3123605497 a prime number? False Is 11427143927 prime? True Is 9747794801 a prime number? True Is 2909599661 a prime number? True Is 4804740067 prime? False Is 9761940893 a composite number? False Is 1176022577 composite? False Is 8356163423 prime? True Is 279298338139 a prime number? False Is 201480467 composite? True Is 219352703287 a prime number? True Is 7256374745 composite? True Is 488348039 a prime number? True Is 48352693 a prime number? False Is 109994451527 a prime number? True Is 1883362021 composite? True Is 24723140257 composite? True Is 2854511971 a prime number? False Is 1467425621 a composite number? False Is 71243917051 a prime number? True Is 8435466947 prime? False Is 541811861 composite? True Is 99681069451 prime? True Is 3799851899 prime? True Is 28214672357 composite? False Is 7810040867 prime? True Is 2658887818 prime? False Is 79057168771 composite? True Is 96244227399 prime? False Is 39883281101 prime? True Is 812252267 prime? True Is 898132811 a composite number? True Is 193350337 a composite number? True Is 14984299 composite? True Is 620183839 prime? False Is 1023595057 a prime number? True Is 3298964969 a prime number? True Is 1498269863 a composite number? False Is 960218137 a prime number? True Is 3837104599 prime? True Is 15268218557 a prime number? True Is 591898691 a prime number? False Is 125779523 a prime number? True Is 62601491179 a prime number? False Is 3344335399 composite? True Is 5340091619 prime? False Is 980370647 composite? False Is 117148431 composite? True Is 85794494119 composite? True Is 35332918141 prime? True Is 61155513323 a composite number? False Is 62113171 composite? True Is 3979722619 a prime number? False Is 9466265489 a composite number? True Is 53526051989 a composite number? True Is 419721947 a composite number? False Is 71632487 a prime number? True Is 7277655163 composite? True Is 4477543471 composite? False Is 61994815123 a prime number? True Is 37817043353 prime? True Is 62019355 composite? True Is 65152766737 prime? True Is 13070018153 a prime number? False Is 19653145913 composite? True Is
{ "pile_set_name": "DM Mathematics" }
, -3, -7, -13 Sort 1/4, -4, 4, 0, -0.6, -32 in ascending order. -32, -4, -0.6, 0, 1/4, 4 Put 17, 0, 3, -3, 338491 in ascending order. -3, 0, 3, 17, 338491 Put 4, 2, 1, -2, -1924853, 5 in decreasing order. 5, 4, 2, 1, -2, -1924853 Sort -5, 9, -7, -2, 11, -10, 1 in decreasing order. 11, 9, 1, -2, -5, -7, -10 Sort 10.4, 3/2, -328288 in descending order. 10.4, 3/2, -328288 Sort -4, 10, 0, 6, -1626, 1. -1626, -4, 0, 1, 6, 10 Sort 0.1, 1/13, -4, 2349, -2, 0 in ascending order. -4, -2, 0, 1/13, 0.1, 2349 Put -1, 1312/5, 2/11, -3, -3/7, 72 in ascending order. -3, -1, -3/7, 2/11, 72, 1312/5 Sort -4, -14, -429272, -1. -429272, -14, -4, -1 Sort 11, -2, 24, 42, 210. -2, 11, 24, 42, 210 Sort 0, 84, 12, 3, -4, 4, -5 in ascending order. -5, -4, 0, 3, 4, 12, 84 Put -8502, -23, 2, -74 in decreasing order. 2, -23, -74, -8502 Put 0.1, 399, 0.6, 22, -0.4 in decreasing order. 399, 22, 0.6, 0.1, -0.4 Sort 143, 1813, -72, -2 in decreasing order. 1813, 143, -2, -72 Put -444, 0.5, -3/7, 6477/14 in descending order. 6477/14, 0.5, -3/7, -444 Put 45, 4, 2/5, -0.43, -65 in descending order. 45, 4, 2/5, -0.43, -65 Put -12, 2, -3/7, 2774/141 in ascending order. -12, -3/7, 2, 2774/141 Sort -10, -1063, 2/9, 2/5, -1/78 in ascending order. -1063, -10, -1/78, 2/9, 2/5 Sort 1095, 0, 728, 4, -2. -2, 0, 4, 728, 1095 Sort 45.096, -221, 4/7 in descending order. 45.096, 4/7, -221 Put 2, 1, -60, -1247, -3 in descending order. 2, 1, -3, -60, -1247 Sort 1, -44, -21733, 3 in descending order. 3, 1, -44, -21733 Sort 9/2, 1478, 0.225, 25 in increasing order. 0.225, 9/2, 25, 1478 Put 5, 252, -4, 51, 0 in ascending order. -4, 0, 5, 51, 252 Sort -1, -4, -2, 0, 5, 605 in descending order. 605, 5, 0, -1, -2, -4 Sort -2/3, 61.61, -265. -265, -2/3, 61.61 Sort 16, -633.401, -0.5 in increasing order. -633.401, -0.5, 16 Put -3, 3, -475, 77, -6, 0 in increasing order. -475, -6, -3, 0, 3, 77 Sort -60, 28, 315, 2, -3, -5, 4 in increasing order. -60, -5, -3, 2, 4, 28, 315 Put 4, 2/13, 1.9781881 in descending order. 4, 1.9781881, 2/13 Sort -1, -4, 2, 47, -45, -49 in decreasing order. 47, 2, -1, -4, -45, -49 Put -4, 2, 16399272 in increasing order. -4, 2, 16399272 Sort 0.12, -6, -4, 23767. -6, -4, 0.12, 23767 Put 1136.62605, -0.2, -1/11, 1/4 in descending order. 1136.62605, 1/4, -1/11, -0.2 Sort 5, 1/5, -4, 13, -324.3, 4, 1/4 in decreasing order. 13, 5, 4, 1/4, 1/5, -4, -324.3 Sort -3/8, -0.1, 66, -0.638 in decreasing order. 66, -0.1, -3/8, -0.638 Put 0, -73, -68, 1431 in increasing order. -73, -68, 0, 1431 Sort -2, 4, -215, 22, 3 in descending order. 22, 4, 3, -2, -215 Sort 535, 28, -2981 in increasing order. -2981, 28, 535 Sort 1/10, 282922, 0.5 in descending order. 282922, 0.5, 1/10 Sort -2, -7, 96809 in decreasing order. 96809, -2, -7 Sort -32, 74, -2, 3, 2, -4, 4 in decreasing order. 74, 4, 3, 2, -2, -4, -32 Sort 32, 10, -12568 in increasing order. -12568, 10, 32 Sort -10, 5, 178, 6, -308. -308, -10, 5, 6, 178 Sort -480, -214133, 4. -214133, -480, 4 Sort 0, -4, 3, -2717, -1, 1/601 in ascending order. -2717, -4, -1, 0, 1/601, 3 Sort 1/3, 17/25, 0.1, 5, 2/7, -507. -507, 0.1, 2/7, 1/3, 17/25, 5 Sort 413/5, 0, -22267. -22267, 0, 413/5 Put -0.02, -0.2, -216, 4, -4, 12 in ascending order. -216, -4, -0.2, -0.02, 4, 12 Sort -5/3, 102, -1964 in increasing order. -1964, -5/3, 102 Sort 48504, 2, -1, -33, -10. -33, -10, -1, 2, 48504 Put 187, 40, 3, -118, 33 in increasing order. -118, 3, 33, 40, 187 Put 4, -2, -5, 5, 2, 23, 2087 in decreasing order. 2087, 23, 5, 4, 2, -2, -5 Sort -1, 5, 2, -11, 3, -8, -3 in descending order. 5, 3, 2, -1, -3, -8, -11 Put -2/5, -0.29, -4/5, 0.4718 in ascending order. -4/5, -2/5, -0.29, 0.4718 Sort -2, 22, -27/21632 in descending order. 22, -27/21632, -2 Put 1.2, 0.0538293, -0.3, 3 in increasing order. -0.3, 0.0538293, 1.2, 3 Put 1, 4, 141487, 10, -2 in increasing order. -2, 1, 4, 10, 141487 Sort -9.98, -914, -0.5, 26 in descending order. 26, -0.5, -9.98, -914 Sort 44, 1826, -3, 14 in ascending order. -3, 14, 44, 1826 Sort -11/4, -16, -14.1, -2, -3/4. -16, -14.1, -11/4, -2, -3/4 Sort 15, 546, 4, 22 in increasing order. 4, 15, 22, 546 Sort -42491897.5, -0.5, 1, -1/6 in decreasing order. 1, -1/6, -0.5, -42491897.5 Sort 2/7, -85430, 3, 42. -85430, 2/7, 3, 42 Put 1, 1.318, 0.1, -8, -2, 2/11 in decreasing order. 1.318, 1, 2/11, 0.1, -2, -8 Sort -4, 4, 3/5, -3, -2, -5, 8478 in descending order. 8478, 4, 3/5, -2, -3, -4, -5 Put 1, 2, -4, -5, -22060, -230 in decreasing order. 2, 1, -4, -5, -230, -22060 Put 279, -1, 7, -0.103 in decreasing order. 279, 7, -0.103, -1 Put 2284, 4109, -4 in decreasing order. 4109, 2284, -4 Sort -22013, -6, -4 in increasing order. -22013, -6, -4 Put 4, -615283, 5 in decreasing order. 5, 4, -615283 Sort -5196, 1005, 17 in ascending order. -5196, 17, 1005 Put -37, -0.2, -292427 in ascending order. -292427, -37, -0.2 Sort 3, 180.569, -1, 4, 2/11, 63. -1, 2/11, 3, 4, 63, 180.569 Sort 179105, 23, -4 in decreasing order. 179105, 23, -4 Sort -103, -7, 0, 15, 12, -53, -3. -103, -53, -7, -3, 0, 12, 15 Sort 16, -1, 150621 in ascending order. -1, 16, 150621 Sort 2, 3, -1, -53, 1440 in increasing order. -53, -1, 2, 3, 1440 Put 4, -432, -20, 1062 in ascending order. -432, -20, 4, 1062 Sort -16175, -4/7, 2755 in decreasing order. 2755, -4/7, -16175 Put 4, -2, 2/5, 1.1, -154444 in descending order. 4, 1.1, 2/5, -2, -154444 Sort -1, -319453, 5. -319453, -1, 5 Put -2, 5, -14, 837, 4 in increasing order. -14, -2, 4, 5, 837 Sort -3, 27, 43776, -23. -23, -3, 27, 43776 Put 6, -61, 32, -119 in increasing order. -119, -61, 6, 32 Put -2, 17, 5, -5, -179, -4 in ascending order. -179, -5, -4, -2, 5, 17 Sort 3, 315, -14/3, -0.64 in ascending order. -14/3, -0.64, 3, 315 Sort -5, 15, -6214 in decreasing order. 15, -5, -6214 Put -2, 5, 0, -1, 14970 in decreasing order. 14970, 5, 0, -1, -2 Sort 76, 71, 2657 in ascending order. 71, 76, 2657 Put -15, -3, 144, 2912 in ascending order. -15, -3, 144, 2912 Sort -839, -15, -389, 0 in increasing order. -839, -389, -15, 0 Put 3, -1, 1/10, -149/1599 in descending order. 3, 1/10, -149/1599, -1 Put -29, 8827, 4, 11 in ascending order. -29, 4, 11, 8827 Sort 6, 12868, 2/3, -1/7. -1/7, 2/3, 6, 12868 Sort -3/4, 2/31, -5, 331.8, 121/4 in increasing order. -5, -3/4, 2/31, 121/4, 331.8 Put 3, 1, 3503, 2 in ascending order. 1, 2, 3, 3503 Sort -3, 0, -12, -7, -2478, -2 in ascending order. -2478, -12, -7, -3, -2, 0 Sort -7/3, 1/5, -18, -2, 22/9. -18, -7/3, -2, 1/5, 22/9 Put 1709, -5, 124, 3 in increasing order. -5, 3, 124, 1709 Sort 10, -6, 7.11873, -2/9 in decreasing order. 10, 7.11873, -2/9, -6 Put 2, -9, -0.5, -0.3, 6/475, -2/7 in descending order. 2, 6/475, -2/7, -0.3, -0.5, -9 Sort -7/4, 5, -2802884 in descending order. 5, -7/4, -2802884 Sort 0.5, -6/25, -798, -11, -5, 5 in decreasing order. 5, 0.5, -6/25, -5, -11, -798 Sort -5, 31, 7, -283, -4, 0, -2. -283, -5, -4, -2, 0, 7, 31 Sort 19624006, -1.1, 2 in descending order. 19624006, 2, -1.1 Sort 0, -20/9, -84, 0.021. -84, -20/9, 0, 0.021 Sort -498, 1, 0, -3, 4, 26 in descending order. 26, 4, 1, 0, -3, -498 Put -7917, -2, 26, -1 in ascending order. -7917, -2, -1, 26 Put -3, 1/7, 0.0471, -0.6, 2, 315 in increasing order. -3, -0.6, 0.0471, 1/7, 2, 315 Sort -14, 3, -4, -202, -6, -12, -1. -202, -14, -12, -6, -4, -1, 3 Sort 24, 1673, -6, 2 in ascending order. -6, 2, 24, 1673 Put -10370.1, 0.2, -1/46 in ascending order. -10370.1, -1/46, 0.2 Put 2/765, -883.12, 5/4 in increasing order. -883.12, 2/765, 5/4 Sort -359411.2, 0.5, 0.3, -0.5 in descending order. 0.5, 0.3, -0.5, -359411.2 Put 28, -5906, -449 in ascending order. -5906, -449, 28 Put 9/5, -3/11, -2/19, 4, 8, -38 in descending order. 8, 4, 9/5, -2/19, -3/11, -38 Sort 3, -29, 0.4, -2, 172. -29, -2, 0.4, 3, 172 Sort -37.533, -647, 1 in ascending order. -647, -37.533, 1 Sort -14, 1/3, -1/4, 44.4979 in decreasing order. 44.4979, 1/3, -1/4, -14 Sort 1853, 22, 13, 1, 0, -3, 5. -3, 0, 1, 5, 13, 22, 1853 Sort 88, 3/994, 4, 5. 3/994, 4, 5, 88 Put 3, 0, -1, 817, -9, -228 in decreasing order. 817, 3, 0, -1, -9, -228 Sort -2, 10, -1176, 2, 33, 0 in descending order. 33, 10, 2, 0, -2, -1176 Sort 80, 122, -1, 1, 9 in increasing order. -1, 1, 9, 80, 122 Sort 2, 3, 1436728 in descending order. 1436728, 3, 2 Sort -1007, -907, -4, -5. -1007, -907, -5, -4 Put 1, -5, 2731, -30,
{ "pile_set_name": "DM Mathematics" }
40*r**2 Let g(c) be the third derivative of 1/30*c**6 + 0 + 0*c**3 + 13*c**2 + 0*c + 0*c**4 + 1/6*c**5. Find the third derivative of g(q) wrt q. 24 Let a(p) be the second derivative of -53*p**5/5 + 55*p**3/6 - p**2 + 587*p. Find the second derivative of a(m) wrt m. -1272*m Let r(k) = 2*k - 24. Let s be r(10). Let w(d) = -1. Let p(o) = 13*o - 2. Let i(h) = s*w(h) + p(h). What is the first derivative of i(u) wrt u? 13 Let g(i) = -5*i**3 + 3*i**2 - 24*i. Let v(y) = -y**5 + 4*y**3 - 2*y**2 + 25*y. Let t(m) = -2*g(m) - 3*v(m). Find the second derivative of t(n) wrt n. 60*n**3 - 12*n What is the derivative of -13*s**3 - 10 - 78 - 16*s**4 + 36*s**4 - 17*s**4 wrt s? 12*s**3 - 39*s**2 Let f(a) = 45*a**2 - 12*a + 15. Let u be f(-10). Find the third derivative of -8*r**5 - 12*r**5 + 4640*r**2 - u*r**2 wrt r. -1200*r**2 Let f = 159 + 126. Find the third derivative of -52*m**2 - 285*m + f*m + 49*m**6 + 16*m**2 wrt m. 5880*m**3 Suppose 3*s + 6 = 12. What is the second derivative of 2*h - s*h**2 + 0*h**2 + 2*h**2 - 3*h**4 wrt h? -36*h**2 What is the derivative of 114*z**4 - 33 - 8*z**4 + 16*z**4 - 4*z**2 + 4*z**2 wrt z? 488*z**3 Let v(o) = 0*o**2 + 1 - 2 - 3*o - o**3 + 0 - 2*o**2. Let h be v(-4). Find the third derivative of 4*l**2 - h*l + l**6 + 43*l wrt l. 120*l**3 Find the second derivative of -10 - 13 - 412*x**2 - 4*x + 14 - 22 wrt x. -824 Let w(g) be the second derivative of 19*g**6/360 - g**4/2 + 29*g**3/6 - 2*g. Let i(b) be the second derivative of w(b). What is the derivative of i(c) wrt c? 38*c Let n(u) be the third derivative of 0*u + 1/2*u**4 + 1/6*u**3 - 2*u**2 + 0. What is the first derivative of n(z) wrt z? 12 What is the second derivative of 41*o**3 - 92*o - 209*o - 90*o + 2*o**2 wrt o? 246*o + 4 Let j(a) = -a**3 - a**2 + a - 7. Let n be j(-3). Suppose -4 = -v - 0*v. Find the third derivative of v*l**2 - 2*l**2 - l**2 + n*l**3 - 19*l**3 wrt l. -66 Let v(o) be the third derivative of o**7/6 - 13*o**5/60 + o**4/12 - 2*o**2 - 19. Find the third derivative of v(i) wrt i. 840*i Let m(u) be the first derivative of 120*u**4 - 103*u + 263. Differentiate m(g) with respect to g. 1440*g**2 Find the third derivative of 15*j**2 - 75*j**2 + 11*j**2 + 5*j**4 + 76*j**4 - 84*j**2 wrt j. 1944*j Let n(y) = y**3 - 3*y**2 - 4*y. Let t be n(3). Let f be 0 - 11/(22/t). What is the second derivative of -145 - k**3 - f*k + 145 wrt k? -6*k Find the second derivative of -6*y**2 + 36 - 36 - 130*y + 17*y**2 + 3*y**4 wrt y. 36*y**2 + 22 Let l(r) be the second derivative of -r**7/630 + r**6/80 + 7*r**4/12 + 10*r. Let y(v) be the third derivative of l(v). Find the second derivative of y(k) wrt k. -8 Suppose -5*m + 205 = 3*i, -4*i + 222 = -2*m - 60. Differentiate 7 - 14 - 24*z - 3 + i*z with respect to z. 46 Differentiate -12107*y**3 - 6 + 11829*y**3 + 508 with respect to y. -834*y**2 Let j(q) be the third derivative of 5*q**6/4 + q**5/30 - 13*q**3/2 - 32*q**2 - 2*q. Find the third derivative of j(l) wrt l. 900 Let i(t) = -56*t**3 + 106*t**2 + 5*t + 5. Let m(a) = -a**3 - a**2 - a - 1. Let b(w) = -2*i(w) - 10*m(w). What is the third derivative of b(f) wrt f? 732 Let y(b) = 41*b + 14. Let c(m) = m - 2. Let v(f) = -4*c(f) + 2*y(f). What is the derivative of v(o) wrt o? 78 Let h = 22 + -21. Let m be 9 + (-7 - -4 - h). What is the derivative of -m + 4*v**3 + 7*v**3 - 8*v**3 + 10 wrt v? 9*v**2 Let p(f) be the first derivative of 0*f**4 - 5 - 11*f**3 + 0*f**2 - 21/5*f**5 + 0*f. What is the third derivative of p(w) wrt w? -504*w Let m(d) be the first derivative of 385*d**6/6 + 2*d**5/5 + 210*d**3 + 222. Find the third derivative of m(w) wrt w. 23100*w**2 + 48*w Let b(a) = -15*a + 266. Let f be b(17). Let j(h) be the first derivative of -10 - 11/2*h**2 + f*h. Find the first derivative of j(g) wrt g. -11 Let n(g) be the second derivative of 209*g**5/10 - 149*g**4/4 + g + 120. What is the third derivative of n(p) wrt p? 2508 Let v be (1/(-2))/(7/(-42)). Suppose 4*q = -3*w + 2, -2 = -w - 3*q - v. Find the third derivative of 10 - 3*g**4 + g**2 + 4*g**w - 10 wrt g. -72*g Let b(f) = -25*f**3 + 53*f**2 + 661*f - 9. Let s(o) = 6*o**3 - 13*o**2 - 165*o + 2. Let i(m) = 2*b(m) + 9*s(m). What is the second derivative of i(v) wrt v? 24*v - 22 Let l = 56 - 53. Differentiate 183*q**2 - 183*q**2 + 4 - 4*q**l with respect to q. -12*q**2 Let h(k) = -503*k**2 + 135*k - 4. Let x(g) = -506*g**2 + 134*g - 2. Let b(o) = -2*h(o) + 3*x(o). Find the second derivative of b(i) wrt i. -1024 Suppose 4*u = -6 + 14. Suppose 3*w = 0, -4*k + u*w = -3*w - 20. Find the second derivative of 4*n - 3*n**k + 7 - 7 wrt n. -60*n**3 Let w(t) = -3*t**4 + t**3 + t**2 - t + 1. Let p(x) = 13*x**4 - x**2 + 6*x - 4. Let b(r) = p(r) + 4*w(r). Find the third derivative of b(y) wrt y. 24*y + 24 Let i be 8 + -4 + 0 + 19. Suppose 5*m - b + 2*b - i = 0, -b = 2. Find the first derivative of 17 - 14 - 7*q - m wrt q. -7 Let l(u) be the first derivative of 0*u**2 + 1/2*u**6 + 0*u + 0*u**4 - 29/3*u**3 + 0*u**5 + 17. What is the third derivative of l(d) wrt d? 180*d**2 Let a = 5 - 9. Let y = a + 7. What is the third derivative of -4*w**3 + 3*w**3 + 2*w**2 + 4*w**3 - w**y wrt w? 12 Let u = 49 + -195/4. Let a(h) be the second derivative of -h**2 - 5*h + 0 + 0*h**3 - u*h**4. Differentiate a(t) with respect to t. -6*t Let m(x) be the second derivative of -17*x + 0*x**7 + 0 - x**2 + 0*x**5 - 1/12*x**4 - 1/8*x**8 + 0*x**6 + 0*x**3. Find the third derivative of m(y) wrt y. -840*y**3 Let o(g) = -1351*g**3 + 9*g - 687. Let h(v) = -675*v**3 + 4*v - 344. Let t(m) = 13*h(m) - 6*o(m). Find the second derivative of t(k) wrt k. -4014*k Let k(p) = 130*p**4 - 2*p**2 + 301*p + 4. Let d(g) = -521*g**4 + 9*g**2 - 1206*g - 18. Let c(j) = 2*d(j) + 9*k(j). What is the second derivative of c(o) wrt o? 1536*o**2 What is the first derivative of 56 + 120*q + 89*q + 46*q - 49*q + 10 wrt q? 206 Let x be (-1 + 3)/(-2) - -31*2. Differentiate 1 - 54*k**3 + x*k**3 - 4 wrt k. 21*k**2 Find the third derivative of -154*g**6 + 320*g**6 - 72*g**3 + 493*g**2 - 169*g**6 wrt g. -360*g**3 - 432 What is the second derivative of -12*n - 91 + 92 + 31*n + 304*n**3 - 6*n + 24*n wrt n? 1824*n Let y(n) be the third derivative of 0*n + 0 + 0*n**3 + 37*n**2 + 1/12*n**5 - 11/24*n**4. What is the second derivative of y(b) wrt b? 10 Let l(w) be the first derivative of 0*w**2 - 11/3*w**3 + 0*w**5 + 0*w**4 - 2*w**6 - 4 + 0*w. Find the third derivative of l(h) wrt h. -720*h**2 Find the third derivative of 5*r**3 - 5*r**3 + 202*r**2 + 4*r**5 - 6*r**5 + 2*r**4 + 19*r**4 wrt r. -120*r**2 + 504*r What is the second derivative of 237*p - 17 + 40*p**2 - p**3 + 46 - 29 wrt p? -6*p + 80 Let i = 29 - 27. Differentiate -18 - 7*v**i + 3*v**2 - v**2 wrt v. -10*v What is the third derivative of 330*u**6 + 7*u**6 - 170*u**2 + 2 + 136*u**2 + 40*u**6 wrt u? 45240*u**3 Let f(p) = p**3 - 7*p**2 - 7*p + 9. Let t be f(8). Find the first derivative of j + t + 3*j - 20 - 3*j wrt j. 1 Let b = 41 - 36. Find the second derivative of 8*k**2 + 2*k + 0*k**2 - 7*k - b*k wrt k. 16 What is the third derivative of 2990 - 2990 - 101*b**2 + 122*b**3 wrt b? 732 Find the second derivative of -1 + 0*r + r + 5*r**4 - 2*r**3 + 35*r**4 + 3*r**3 - 2*r**4 wrt r. 456*r**2 + 6*r Let o = 0 + -15. Let x = 18 + o. What is the second derivative of 3*z + 4*z**3 + 3*z**3 - 3*z**3 + x*z wrt z? 24*z Let d(c) be the first derivative of -c**3/3 - 13*c**2/2 - 73*c + 98. Differentiate d(g) wrt g. -2*g - 13 What is the second derivative of -175*x**3 + 60*x**3 + 415*x + 94*x**3 wrt x? -126*x Let f be (1 + -1)*(-8)/16. Suppose d + h + 5 = f, d - 3*h + 6*h = -15. What is the derivative of d*n**2 - 6 - 6*n**2 + 8 wrt n? -12*n Let g(n) be the third derivative of n**6/60 + 2*n**5/15 + n**4/3 - 4*n**3/3 + 12*n**2 + 4. What is the second derivative of g(c) wrt c? 12*c + 16 Let h(z) be the first derivative of 53*z**5 + 55*z**3 - 1. What is the third derivative of h(j) wrt j? 6360*j Let u(o) = 3*o**3 - 6*o**2 - 2. Let j(c) = -5*c**3 + 13*c**2 + 5. Let n = 18 + -5. Let t(z) = n*u(z) + 6*j(z). What is the derivative of t(q) wrt q? 27*q**2 Let p be 16/12 + 15/9. What is the second derivative of 0*m**3 + 6*m + 0*m**p + 11*m + 29*m**3 wrt m? 174*m Let v(q) be the second derivative of 16*q**7/21 - 9*q**5/20 - 37*q**3/3 - 11*q - 3. Find the second derivative of v(r)
{ "pile_set_name": "DM Mathematics" }
ppose -3*p - 135 = -3*j + j, -4*p + 114 = 2*j. Let y = 120 + j. What is the tens digit of y? 8 Let j be -78 + ((-9)/(-3))/1. What is the units digit of (0 - j/(-12))*-12? 5 Suppose -2*n + 1 + 5 = 0. Suppose 3*p - 5*p - n*v + 145 = 0, 0 = -5*v + 5. Suppose -p = -3*g + 406. What is the hundreds digit of g? 1 Let j = -169 - -645. Suppose v - j + 183 = 0. What is the units digit of v? 3 Let z = 86732 - 56986. What is the thousands digit of z? 9 Let g be ((-18)/(-27))/(3/18). Suppose g*f - 646 = -3*q + 411, -f = q - 265. What is the tens digit of f? 6 Suppose -19 = 2*g + j, j - 8 = -g + 2*g. What is the units digit of (-1343)/g + 9 + 4/(-18)? 8 Suppose -336091 = -43*k + 258083. What is the hundreds digit of k? 8 Suppose 4*s - 8 = 0, 3*s = -g + 3 - 9. What is the hundreds digit of 170/68*g/(-10) + 412? 4 Let q = 4976 + -2702. Let v = q - 1295. What is the units digit of v? 9 Let a = 35497 + -11353. What is the hundreds digit of a? 1 Suppose 2*z + 5*v - 25620 = -4412, 0 = -4*z - 2*v + 42448. What is the hundreds digit of z? 6 Suppose -4*p + 39057 = h, -5*h - p + 107982 = -87322. What is the ten thousands digit of h? 3 What is the thousands digit of 565/((-18)/(11808/(-16)))? 3 Suppose 2*w = 5*t - 30163 - 55958, 0 = 2*t + 3*w - 34418. What is the ten thousands digit of t? 1 Let j(q) = -10*q + 2*q**2 - 373 - 436 + 673. What is the units digit of j(-8)? 2 Suppose 0 = 4*o + 19 + 9. Let c(k) = -k**2 - 8*k - 5. Let y be c(o). Suppose -y*w - w = -186. What is the tens digit of w? 6 Suppose 682 = -4*w + 3*f, 3*w + f - 678 = 7*w. What is the units digit of w/(-4) + (-33)/(-44)? 3 What is the tens digit of (2 + -3)/(19665412/(-1035021) + 19)? 1 Let o(z) = -22880*z - 2071. What is the tens digit of o(-1)? 0 Let d(p) be the second derivative of 8/3*p**3 + 0 + 3*p**2 - 9*p. What is the units digit of d(4)? 0 Let o = -321 - 821. What is the units digit of (-1 + o/4)/(456/(-1216))? 4 Let v(x) = 74*x**2 - 35*x + 306. What is the tens digit of v(8)? 6 Let k(a) = a**2 - 16*a + 51. Let b be k(12). Suppose 2*t + 529 = q, -1038 - 1646 = -5*q - b*t. What is the hundreds digit of q? 5 Let r be (-52)/390 + (0 - (-716)/(-30)). What is the tens digit of -4*1446/r + 5? 4 Let y be (-2)/(-10) + (72207/15 - -1). Let r = y + -3386. What is the tens digit of r? 2 Let f = 8889 - 3840. What is the units digit of f? 9 Let c(h) = 13*h - 74. Let k be c(7). Suppose -16394 + 2488 = -k*o. What is the units digit of o? 8 Suppose 0*w = 2*o + 4*w + 1064, 1064 = -2*o + w. Let a = o + 1004. What is the tens digit of a? 7 Suppose -3*f - 49 = 35. Suppose 3*u + d = 113, 2*u - 3*d = -7*d + 62. Let j = u + f. What is the tens digit of j? 1 Suppose 483 = 6*h - 9*h. Let r(t) = -29*t + 17. Let v be r(4). Let s = v - h. What is the tens digit of s? 6 Suppose 3*c + 2 = 5*k, c + c = -k + 16. Let i be 199 - 3*2/(-4)*(-300)/90. Suppose i = -4*f + c*f. What is the units digit of f? 7 Suppose -4*w = -2 - 14. Let c be 6/(-4) + (-6)/w. What is the tens digit of (c + -1 + -31)*-1? 3 Let y = -83 + 29. Let a be (y/45)/(1/(-10)). Suppose 3*m = -a + 195. What is the tens digit of m? 6 Suppose 2720 = -12*t + 32*t. Suppose h = 2*h - 2. Suppose 2*j - b + 5*b = t, -h*b = 3*j - 208. What is the units digit of j? 0 Suppose -4*j + 5*w + 5371 = 0, -5746 = -4*j - w - 393. Let u = -896 + j. Suppose 0 = 5*f - 20, -d - u = -4*d - 5*f. What is the tens digit of d? 4 Let v(x) = 10*x**2 + 43*x - 810. What is the units digit of v(46)? 8 Let d be 3/(21/25438) + -5. Suppose d = 4*x + 5*z, -5*x - 18*z = -16*z - 4549. What is the units digit of x? 1 Let p = 20302 - 16112. What is the thousands digit of p? 4 Suppose a - 8 = 3*f - 4, 2*a + 4*f + 32 = 0. What is the hundreds digit of (-2358)/(-4) + (-12)/a? 5 Let g = 19 - 28. Let j be g*(-4)/(-2) + 4. What is the tens digit of j*(3 - 9/2)? 2 Suppose 2*a = 4*k - 15738, k + 5*a - 3947 = 8*a. What is the tens digit of k? 3 Let i be (6/(-30))/(2/(-5))*-10. What is the units digit of 3/((25/(-685))/i)? 1 Suppose -3*o - 620 = 361. Let r = o + 1495. What is the hundreds digit of r? 1 Let r be (-2)/8 + 216/96. Suppose r*h - 176 = -3*n + 75, 3*h = 2*n - 150. What is the units digit of n? 1 Let v(p) = 14*p**2 + 13*p + 5. Let k be v(-2). Suppose 115 = k*f - 200. What is the units digit of f? 9 Let r = 63859 + -1979. What is the ten thousands digit of r? 6 Let r(n) = -275*n + 59. Let d be r(2). Let v = 880 + d. What is the hundreds digit of v? 3 Let c(z) = -29128*z + 1505. What is the thousands digit of c(-1)? 0 Let b(w) = -w**2 + 32*w - 59. Let g be b(29). Suppose 8*p = g*p - 10040. What is the hundreds digit of p? 5 Let d = 38310 + -20522. What is the tens digit of d? 8 What is the ten thousands digit of (4/10 + -11)*(-1885 + 0)? 1 Suppose 3*o = -4*h + 27, 5*h + 18 = 2*o + 2*h. What is the units digit of 3*(6702/18 - (4 - o))? 2 Let w = 615 + -619. Let n(v) = 6*v**3 - 2*v**2 + v. Let r be n(1). Let f = w + r. What is the units digit of f? 1 Let y(h) = 349 - 689 - 61*h + 381. What is the tens digit of y(-4)? 8 Let r be 19 + -17 - (-2819 - -3 - 2). Suppose -3546 = -5*s + j, 12*j - 7*j = 4*s - r. What is the units digit of s? 0 Suppose 180 = 4*z - 16*z. Let l(f) = 5*f**2 + 14*f + 64. What is the tens digit of l(z)? 7 Let z(i) = 56*i - 54 + 26*i**2 - 49 - 80*i + 13. What is the units digit of z(-4)? 2 Let n be 176 - 3*(10/6 + -1). Let x = 316 - n. What is the units digit of x? 2 Suppose -5*g = -9*g - c + 49, -g + 4*c = -25. Suppose -g*w = -6*w + 35. What is the tens digit of (-211)/(-1 - 5 - w)? 1 Let d(j) = 3*j + 52. Let f be d(-15). Suppose -f*r = -13*r. Suppose -2*i + 4*i = 4*l + 288, -2*l + 2 = r. What is the units digit of i? 6 Let k be 35/(-20)*(-1 + 5)*-3. Suppose 13*q - 14*q + k = 0. Let j = q + 19. What is the tens digit of j? 4 What is the hundreds digit of ((-6141)/27 + 1)/((-127)/1143)? 0 Let c(m) = 742*m**2 + 3*m + 24. What is the tens digit of c(-3)? 9 Suppose 27*c - 29*c + 5374 = -b, c - 4*b = 2708. What is the tens digit of c? 8 Let z = 100 - 99. Let u be 94/1 - z*(1 - 4). Suppose -u = 3*x + 4*w - 464, -4*x - 2*w + 506 = 0. What is the units digit of x? 9 Let n(p) = -63*p**2 - 115*p + 45. Let z(a) = 16*a**2 + 29*a - 11. Let r(m) = 2*n(m) + 9*z(m). What is the units digit of r(-4)? 5 Suppose 0*m + 3*m - 225 = 0. Let x(v) = -67*v + 138. Let s be x(2). Suppose 2*z - 50 = -s*c - c, 3*z = 4*c + m. What is the units digit of z? 5 Let c = -22695 - -53443. What is the hundreds digit of c? 7 Let x be (-112)/7 + (-1 + 6)/(-5). What is the units digit of x/((-820)/(-275) - 3)? 5 Let k(u) = -9*u - 199. Let p be k(-37). Suppose 2*h = l - 132, 2*h = 3*l + 4*h - 356. Suppose p + l = s. What is the tens digit of s? 5 Let h(n) be the second derivative of 41*n**3/3 + 145*n**2/2 - 37*n - 1. What is the hundreds digit of h(7)? 7 Let i(y) = -2*y**2 - 1. Let n(b) = 4*b**2 + 2. Let x(a) = -9*i(a) - 4*n(a). Let h(j) = j**3 - 3*j - 3. Let r be h(0). What is the units digit of x(r)? 9 Suppose 0 = s - 3*k - 3255, -k + 6206 = 5*s - 10133. What is the units digit of s? 7 Suppose -116*i - 20062 = -117*i + 2*b, -i + 5*b + 20062 = 0. What is the hundreds digit of i? 0 Let t(j) = -j**2 - j + 2. Let d be t(0). Suppose -5*u = -5*r - 50, 2*u + 6 = -d*r + 14. Suppose 70 = u*g - 357. What is the tens digit of g? 6 Let j = 23 - 32. Let z(h) = 9 + h**2 - 6*h + 16 - 3*h. What is the units digit of z(j)? 7 Suppose -2*r + 5*x + 1095 = -4107, 3*r + 5*x - 7778 = 0. Suppose 4*o - 3*c - 3397 = 0, -5*o - 4*c + r + 1627 = 0. What is the tens digit of o? 4 Let m be 29/9 + (176/(-72))/11. Let h(u) = -u**3 + 5*u**2 + 14 - m*u + 3*u**2 - 5*u. What is the tens digit of h(6)? 3 Suppose -4590 - 10279 = -99*u + 12059. What is the hundreds digit of u? 2 Suppose 25*u = 37*u + 3600. Let v = u - -909. What is the units digit of v? 9 What is the tens digit of (-105292)/(-3) + -2 - ((-155)/(-15) - 8)? 9 Suppose -2*w + 4 = 0, -4*w - 2754 = -4*r - 22. Suppose -3*f - i = -0*i - r, 0 = 5*f + i - 1145. What is the units digit of f? 0 What is the hundreds digit of 20/((-7)/448*-4)? 3 Let w(s) = 5030*s**2 - 98*s + 96. What is the tens digit of w(1)? 2 Suppose -4*u - 3*j = -5211, -4*j + 20 = -0*j. Let q = u - 768. What is the units digit of q? 1 Let k(a) = -a**2 + 40*a - 209. Let j be k(34). Let o(b) = -342*b - 284. What is the hundreds digit of o(j)?
{ "pile_set_name": "DM Mathematics" }
r: -1 or n? n Suppose -3*u - j = 31, -2*u - 45 = 2*u + 5*j. Let c be 3 - (-702)/(-91) - u/2. Is c less than -147? False Let n be (0/(-1 - 1))/(12/(-72)*-12). Which is bigger: n or -6/319? n Suppose 506 = 4*h + 4*g - 254, 930 = 5*h - 5*g. Which is smaller: h or 190? h Let w = -94730436/256921 - 1/36703. Let t = -565204/1533 - w. Is 0 greater than t? False Let n be (((-1176)/(-64))/3 - 6)*1*8. Do n and 2/13407 have different values? True Suppose 0 = -f - 0*f + 8. Let i(m) = -m**3 + m**2 + 5. Let q be i(0). Suppose 40 = 5*s - 5*u, -u = -q*s - 4 + 36. Which is bigger: s or f? f Suppose 1 - 117 = 3*l - 2*n, -5*n - 109 = 3*l. Suppose 59*i - 52*i + 232 = -5*m, -6*m + 107 = -i. Which is smaller: l or i? i Let f(c) be the third derivative of -c**5/60 - c**4/2 - 5*c**3 + 18*c**2. Let d be f(-5). Suppose l = -4, 0 = d*z + 4*l - 2 + 28. Is z smaller than 0? True Let d = 185 + -2589/14. Let n = 0.24 + 0.06. Is d <= n? True Let h be (13*(-236)/8)/(27/(-18)). Let c = 7769/30 - h. Is 2 at least as big as c? False Let p be ((-736)/(-40) + -4)/((-1)/5). Let t = p - -77. Let q be 318/(-14) - t/70*4. Is q smaller than -24? False Let z = -88 + 199. Suppose 20*m - 331 + z = 0. Let o be ((-13)/(-2) + -1)*2. Is o < m? False Suppose -12*y - 1492 - 8 = 0. Is -130 less than y? True Let c = -49729364008487/1121 + 44361605544. Let a = -3741 - c. Which is smaller: a or -1? -1 Let x be ((-1)/(-2))/(2/46). Suppose -20*v + 13*v = -14. Suppose t - 32 = -t - v*n, 2*t = -n + 28. Which is greater: x or t? t Let r = -72.116 + 73.116. Let n = 450 + -14852/33. Do r and n have the same value? False Let u(s) = -s**3 + 49*s**2 - 15*s + 362. Let v be u(49). Is -372 != v? True Let x = 2551 + -2299. Are x and -21 non-equal? True Let s = 793569 + -1424884. Let b be (3/(-89))/(4 - s/(-157830)). Let k = b - -1064. Is -1 < k? True Let n = -2.2 + 1.2. Let v = -5.23 - 35.77. Is v at most n? True Let x = 15403.183 + -15419. Let q = x - -16. Is 0.1 at most q? True Let p(s) = -s**2 - 8*s + 9. Let m be p(-9). Suppose -4*r - 3*b = -23, m*r + 5*r + 4*b = 29. Let h be 2/r - -2*519/30. Which is smaller: h or 36? h Let x be (-211)/(-4)*(-109 - -97). Are x and -631 equal? False Let c = -21 - -15. Suppose -24 = -4*g + 4*n, -3*n - 14 = -2*g + g. Suppose 37*z = 35 + g. Is c < z? True Let c = -854 - -36726/43. Let w(h) = 3. Let i(f) = f**2 - f - 10. Let t(u) = 2*i(u) + 7*w(u). Let y be t(1). Is c equal to y? False Let n(i) = 9*i + 1. Let s(c) = c**3 - 11*c**2. Let w be s(11). Let z be n(w). Which is greater: 1/262 or z? z Let i be -7 + (2 - 0) - (1 + 24). Let j(m) = 2*m**2 + 58*m + 24. Let u be j(i). Is 83 at most as big as u? True Let t = -188 + 42. Let d = -145.8 - t. Is d at least as big as -16? True Let d(p) = -p**3 - 8*p**2 - 8*p - 4. Let a be d(-7). Let c(x) = -x**2 + 7*x - 13. Let v be c(a). Are v and -1/6 non-equal? True Let c = 4571 - 7229. Is c at most as big as -1? True Let v = -2.4 + 2.29. Let j = -92395 + 92394.8. Which is bigger: j or v? v Let g(a) = -a**3 - 8*a**2 + 23*a - 16. Let w be g(-11). Suppose y = -5*o - w, o = 4*o - 2*y + 46. Let u be (-3)/(-9)*o/(-24). Which is smaller: u or -5? -5 Let v be 4*-37 - (-14 - -13). Let d be (-3 - v/7)*(1 - 0). Suppose q = 38 - d. Which is bigger: 22 or q? 22 Let a = -254 - -368. Let v = 17 - 8. Let i be (1/a)/(3/v). Which is greater: i or 0? i Let r = 1606.8 + -570.8. Which is bigger: r or -0.3? r Suppose 0*v - 10 = 5*v. Let i(w) be the second derivative of -5*w**3/6 + 20*w**2 - 22*w. Let k be i(8). Which is smaller: k or v? v Let o = 157/356 + -17/89. Which is greater: 513 or o? 513 Let c = -243 + 244.79. Let n = 1.81 - c. Which is greater: -10 or n? n Let m = 101.9 - 48. Let v = m - 53.8. Which is smaller: -67 or v? -67 Let v = 1265/1098 + -5/122. Let h(f) = f**3 - 4*f**2 + 11*f - 23. Let t be h(3). Is v at most as big as t? False Let t = 2/2203 - 37455/4406. Let y = -89/10 - t. Which is bigger: -0.0208 or y? -0.0208 Let l be (-56)/(-322) + (-28272)/(-368). Is 57 > l? False Let n be (6*(-9)/2124)/(3/(-4)). Let d = -65 + 68. Let v be -4 + 22/4 + d/(-6). Which is bigger: v or n? v Suppose 0 = 5*y + 3*t + 6856, -5472 = 4*y - 4*t - 0*t. Is y less than -1370? False Let v = 1/411 + -30008/2055. Let f = v - -16. Let u(g) = -7*g - 145. Let s be u(-21). Is f < s? True Let u be (16*1/2)/2. Let h(y) = 11*y**2 + 11*y + 22. Let n(c) = -2*c**2 - 2*c - 1. Let i(x) = h(x) + 6*n(x). Let p be i(u). Which is greater: -8 or p? p Let k(r) = -2*r**2 - 79*r + 78. Let i be k(13). Is -1288 smaller than i? True Let n be -10*4/(1 - 61)*6. Which is smaller: 55 or n? n Let g be (5/22)/(-4 + (-30332)/(-7456)). Let v = -8/127 + g. Let x = v - 155/44. Is -1/15 <= x? False Let r be 0 - -7*(-2)/96. Let g = r - -551/3120. Let x(s) = -s**2 + 11*s - 11. Let k be x(1). Is k smaller than g? True Let u = -208/357 + -602113/3927. Let s = 154 + u. Which is bigger: s or 3/2? 3/2 Let p = -388 - 16. Let w = p + 403. Let k = 105127/136 + -773. Which is smaller: w or k? w Let n = 2887.1 + -2888.1. Which is greater: n or -1391? n Let w be (-2)/1 - (-12 - -2). Let r = 168 - 136. Let u = -24 + r. Do u and w have the same value? True Suppose 4*u - 26*q + 24*q - 66 = 0, u - 2*q = 24. Which is bigger: u or 0.075? u Let i = 1.9 - 1.913. Let w = -1.365 + 1.265. Which is smaller: i or w? w Let t = -0.02192 + 0.02192. Is t not equal to -0.043? True Suppose -i = 2*i + 12, 0 = -2*d - i - 244. Let c be (-6)/45 + (-226)/d. Is c != 1/9? True Let j(c) = c**2 - c - 1. Let s(m) = -m**3 + 13*m**2 + 7*m - 25. Let f(g) = 4*j(g) + s(g). Let y be f(17). Is y bigger than 20? True Let a = 0.03828 - 79.03828. Let j = 0 + -1. Is a < j? True Let l = 167 - 164. Suppose -17*m + l*m + 238 = 0. Which is smaller: m or 13? 13 Let f be 11/(-4) + 2 + (-690)/(-24). Let u be 94/(-10) - 16/(-40). Let b be 254/9 - (-2)/u. Is f less than or equal to b? True Suppose 127*n = 122*n + 175. Suppose -m + 5*m - 2*g = 28, n = 5*m + 2*g. Let b be 30/(-4)*(-11)/10. Which is bigger: b or m? b Let o be (-15)/(-6)*752/20. Suppose 16*a - 34 = o. Which is greater: 26 or a? 26 Let c = -118 + 98. Let i(r) = -r**3 - 21*r**2 - 19*r + 19. Let m be i(c). Which is smaller: 2/351 or m? m Suppose 92*m = 84*m + 24. Suppose -5*a - 1 - m = o, 3*o + 12 = 0. Which is greater: -8/53 or a? a Let r = 37683/4 + -9421. Suppose -2*g - 39 = -3*v, g - 4*g + 3*v = 54. Let u = 51 + g. Is r <= u? True Let g(p) = p**2 + p. Let k(l) = 7*l**2 + 11*l + 3. Let d(x) = -6*g(x) + k(x). Let i be d(-6). Let a be (-30)/i*(162/(-15))/2. Which is greater: a or 19? 19 Let h = -101 - 130. Let g = -242 - h. Which is bigger: -4 or g? -4 Let x(r) = -r**2 + 9*r + 1. Let d(z) = -z**3 - 8*z**2 + 18*z - 12. Let o be d(-10). Let l be x(o). Let k be -1 + (l/(252/160) - 3). Which is smaller: k or 0? 0 Suppose -3*c = -x - 199, 5*x = -0*x + 3*c - 1055. Let m = 3425/16 + x. Suppose 424*z + 1306 = 2002*z - 272. Are m and z nonequal? True Let v be (240/1375)/(((-2)/4)/(135/(-81))). Is 2 greater than or equal to v? True Suppose 5*l + 2948 = 16*b - 18*b, -2*l = 0. Are -1474 and b nonequal? False Suppose 0 = -4*t + 12*t + 912. Let h = -112 - t. Suppose h + 1 = j, -5*r + 5*j = 5. Are 3/2 and r nonequal? True Suppose 5*y = 143*r - 144*r - 2075, 3*r = 0. Which is bigger: -419 or y? y Let j = -19458.08 + 19465. Which is greater: 0 or j? j Suppose 0 = -l - 5*b + 73, 5*l - 112 = -4*b + 232. Let z be l/28 + 3/(-7). Suppose -3*h - t = z, 2*h - 5*t - 26 = h. Which is bigger: h or 1/14? h Let t = 20.4 - -3.5. Let y = t - 23.1. Is y <= -7? False Suppose 0 = -411*g + 403*g - 672. Suppose -q = -3*q - x - 3, 3*q = x - 17. Let v be (-1)/(346/g - q*1). Is v bigger than 9? False Suppose 10 = -j + 5*l, -3*l + 8 = -j + l. Suppose 0 = 3*s + 15 - 6. Let n be 3/30*(s - -1). Is j less than n? False Let l = 209.5 + -16.5. Let w = l + -184. Is 1/5 > w? False Let a = -15044 - 2075. Which is smaller: a or -17118? a Let l be (4/(-170))/(8/(-6170)*(-288)/1152). Is l greater than -72? False Let x = 118.15 + -118. Let k = x - -68.85. Let g = k + -101. Which is smaller: 0 or g? g Let a be (-2)/21 + 220425/(-16380) + 3. Let b = -74/7 - a. Is b smaller than 1/2? True Let z = -4.6 - -0.6. Let i = -138.096 - -138. Let d = 6.904 - i. Is d smaller than z? False Let b = -8.083 + 0.183. Let h = -5.5 - b. Is h bigger than -3? True Suppose 258 =
{ "pile_set_name": "DM Mathematics" }
Solve 3*b - 4*h = -6, 6 = 34*b - 37*b - 4*h for b. -2 Solve 0*j - 4*j - 2*b + 18 = 0, 0 = 5*j - 3*b - 6 for j. 3 Solve -1727 = 3*q + 5*d - 1733, 3*d - 26 = -5*q for q. 7 Solve -4*x = 5*v - 136 + 151, -3*x - v = 3 for x. 0 Solve -3*d = -t - 1305 + 1316, -44 = -4*t - 5*d for t. 11 Solve -3*z = r - 10, -9868*r + z - 2 = -9867*r for r. 1 Solve -10 = -5*g, -3*o + 2*g = 10*g - 9 - 34 for o. 9 Solve 979*v - 3*j - 132 = 967*v, 4*j + 16 = 0 for v. 10 Solve -2*z - 1120*h = -1116*h - 6, h = 2*z + 4 for z. -1 Solve -4*r = 3*z - 7, r - 2122*z + 2109*z = -12 for r. 1 Solve u = -2*g - 15, g = -4*u - 7 - 25 for g. -4 Solve -a - 8 = 192*h - 195*h, -3*a = -5*h + 16 for a. -2 Solve b - 16 = -h, 1128*h + 4*b = 1132*h + 88 for h. -3 Solve 2*u - 4*t - 9730 = -9742, 2*u - 12 = -2*t for u. 2 Solve 0 = y - 2*j - 3*j + 57, 29 = -5*y - 5*j + 104 for y. 3 Solve 7*q = -z + 43, -81*z = q - 84*z + 41 for q. 4 Solve 0 = -10*z + 14*z + 2 + 18, 0 = v + 2*z + 11 for v. -1 Solve 31*d - 38*d = 2*n + 7, -d = -5*n + 38 for n. 7 Solve -3*h + 27 = -3*w, -5*h + 12*w + 12*w = -216 for h. 0 Solve w - 119 = -127, 3*w + 40 = -4*d for d. -4 Solve 0 = -4*a - 9*b + 12*b - 31, 0 = -6*a - 5*b + 1 for a. -4 Solve -46*i + 3*b = -43*i - 24, 0 = -5*i - 4*b + 58 for i. 10 Solve -5073 = -2*u + i - 5094, 5*u = i - 48 for u. -9 Solve -4 = -4*o - 2*x, -23*x + 91 = -o + 2*o for o. -1 Solve 2*j - 143 = 4*j - c - 139, -c + 4 = 105*j for j. 0 Solve 833*a = 836*a + 4*g - 40, 26 = 3*a + 2*g for a. 4 Solve -h - 5*b - 14 = 0, 3*h + 16777 = -5*b + 16765 for h. 1 Solve -3*u + 18 - 46 = 3*g - 10, 4*u - 4*g = 8 for u. -2 Solve 0 = 5*k + r - 1880 + 1910, -4*r = -20 for k. -7 Solve 0 = 2*h + c - 4240 + 4229, -3*h - 5*c = -27 for h. 4 Solve -9*g - 2*v = -31, 15*g - 19*g + 2*v + 8 = 0 for g. 3 Solve -3*p + a = -5, 91 = -p + 6*a + 104 for p. 1 Solve 4*k + 5*o + 40 = 0, -22*k = -18*k + 2*o + 28 for k. -5 Solve 5*b = -4*g + 3, -g - b - 26 + 27 = 0 for g. 2 Solve 4 = -3*k - 2*u, -3*k + 3*u - 1535 = -1511 for k. -4 Solve 5*f = -2*j + 3, -5*f - 22 + 30 = -3*j for f. 1 Solve 3*p = 3*l, -29*l + 25*l - 3 = -5*p for l. 3 Solve -n - 6 = -s, 3*s - n = 7*s + 16 for s. -2 Solve -2*b + 9 = -5*s, b - 737 = -s - 736 for b. 2 Solve -m - 127*n + 131*n + 4 = m, -2*n - 10 = 0 for m. -8 Solve 0 = -5*z - 371*y + 370*y + 23, -10 = -z - 2*y for z. 4 Solve -75 = -3*g - 148*i + 127*i, 3*g - 3*i + 21 = 0 for g. -3 Solve -o = -8*t + 13*t + 25, -17 = 5*o - 2*t for o. -5 Solve 1015*c = 1013*c - 3*z - 11, 4*c - 4*z = 8 for c. -1 Solve -1971*s + 1973*s - 4*o - 4 = 0, 8 = 4*s - 5*o for s. 2 Solve 2*s - 7*b + 10*b + 4 = -11, -2*b - 2 = 0 for s. -6 Solve -5*m - 2344 + 2403 = -2*c, c + 5*m = 53 for c. -2 Solve 0 = l + r - 7, 3492*l - 3500*l + 5 = 2*r - 21 for l. 2 Solve 0 = -3*h + 3*m + 6, -3*h - 2*m - 101 = -127 for h. 6 Solve -12 = 7*t + 2*t - 6*t + 9*c, -5*c = 15 for t. 5 Solve -u + 4*v = 0, 4*v + 18 = -3*u + 35 - 33 for u. -4 Solve 2*z = 5*z + 7*c - 86, -c = 3*z - 20 for z. 3 Solve -2*i + 2*o = -18, 39 = -819*i + 824*i - 3*o for i. 6 Solve w + 8*d = 55, -3*w - d + 48 = 44 for w. -1 Solve -5*x - 4*j = 7833 - 7819, 2*x - 1 = 5*j for x. -2 Solve -6*h - 19 = 70*y - 37*y - 38*y, h = -4*y - 8 for h. -4 Solve 0 = -2*a + 2*n + 3 + 11, -n = 3*a - 5 for a. 3 Solve 9*o = -4*k + 12*o + 12, 0 = 4*o - 25 + 41 for k. 0 Solve -q + 2*o + 0 = -15, -5*q - 3*o = -49 for q. 11 Solve 0 = -u - 5*r - 77, 92929*r - 71 = -2*u + 92934*r for u. -2 Solve -2*g = 5*z + 10, -5*g - 17*z - 25 = -12*z for g. -5 Solve -8207*b - 28 = -3*j - 8212*b, 0 = 5*j - 4*b + 52 for j. -4 Solve -44*f = -46*f - 2*p - 4, -2*f - 3*p = 3 for f. -3 Solve 5*b + 2*k = -k + 29, 5*k + 38 = 4*b for b. 7 Solve 0 = -b + 5*g - 21, -5*b - 4*g + 32 = -2*b for b. 4 Solve -8561*q + 8557*q + 26 = -h, -14 = -3*q - 2*h for q. 6 Solve -y - 40*a = -39*a + 3, -2*a = 4*y + 2 for y. 2 Solve 5*f = -150 + 155, -2*l - 2 = -0*l + f + 3 for l. -3 Solve 5*r + 3*a = 7*r + 22, 0 = 4*r - a + 24 for r. -5 Solve -4*l - 65*i + 8 = -63*i, 4*l = -4*i + 24 for l. -2 Solve 0 = 12*h + 120, -3*m + 1 = 2*h + 8 - 2 for m. 5 Solve -2*z + 6 = w, 0 = 4*w + 14*z - 19*z + 28 for w. -2 Solve -l + 7 = w, 4*l - 16 = 206*w - 208*w for l. 1 Solve -3*r = -u + 60, -2*r = -2*u + 56 - 12 for r. -19 Solve 5*o = -3*g + 74, 5*o + 588*g - 591*g + 34 = 0 for o. 4 Solve -5*k = 4*r - 6, 23*k - 28*k = -7*r - 17 for k. 2 Solve 5*u = -0*b + 14*b + 80, -24*b = -49*b + 21*b for u. 16 Solve 4*x - 3*k + 5 = 10, -k - 28 = -25 for x. -1 Solve -11 = 5*x + 2*u, -5*u - 65 = 4*x - 46 for x. -1 Solve -3*j + f = -119 + 133, 4*f = -5*j + 5 for j. -3 Solve 3*w - 11 = 6*d - 14, 4*w - d = 3 for w. 1 Solve -2*x = 22*k + 114, 6 = 5*k - 3*x + 25 for k. -5 Solve -2*g + 20 = -2*y + 3*g, 44*g + 3 = -y + 43*g for y. -5 Solve -14*f + 19*f + 4*s = -35, -5*f = -5*s - 10 for f. -3 Solve 2*q + 5*h = 0, 3*q - 7*h = -2*h - h for q. 0 Solve 0 = -u - 3*s - 12, -2*u - 1053 = 5*s - 1034 for u. 3 Solve 3*m = 51 - 60, 4*c - 39 = 5*m for c. 6 Solve -5*m - 87 + 107 = -5*q, 0 = -2*q + m - 9 for q. -5 Solve 69*m - 72*m - 33 = 3*o, -5*o + 3*m + 17 = 0 for o. -2 Solve 4 = 5*t + 3*c, -4*t - 5116*c + 5 = -5113*c for t. -1 Solve 99*c - 98*c - 2*l = 17, -11 = 2*c + 5*l for c. 7 Solve -3*y + 70 = 2*x, 6*x + 272 = 10*x + 12*y for x. 2 Solve 8*k - 10*k - 4*y = -20, -2*y = 5*k - 10 for k. 0 Solve 5*l - 9*p - 70 = 0, l + 4*p + 13 + 2 = 0 for l. 5 Solve -25 = 64*n - 60*n - 3*m, 0 = 2*n - 4*n + 4*m for n. -10 Solve -4*x + 8 = 5*b, 44*b = 41*b - 3*x + 3 for b. 4 Solve -2*k = 3*b - 14, -k - 2*b + 104 - 96 = 0 for k. 4 Solve -2*v + 5*p - 430 = -424, 0 = -8*v - 4*p + 24 for v. 2 Solve k = -o, 12*o - 16*o - 5*k = -4*o + 5 for o. 1 Solve 3*y - 22 = 6*z - 31, -9 = -z + 3*y for z. 0 Solve -d + 11767*i + 10 = 11764*i, -3*d + 30 = -2*i for d. 10 Solve 83*v + 18 = 79*v - 5*t, -5*v - 6 = -2*t for v. -2 Solve 4*l = -4*h - 12, -374*l + 370*l = -5*h - 15 for l. 0 Solve 0 = -p - 2*h, -3*p + 3 = -14*h + 17*h for p. 2 Solve 10*q = -2*a + 44, 0 = 2*q - 6*a + 9*a - 14 for q. 4 Solve -4*c - 185*b = -187*b + 26, 29 = -4*c + 3*b for c. -5 Solve -2*p = 4*l + 4, 15*p - 4*l + 8 = 14*p for p. -4 Solve -9*f + 13 = 5*k, -3*f + 4*k - 30 = 11 for f. -3 Solve 482 = 4*f + 466, -5*i + 30 = 5*f for i. 2 Solve 2*w - 22 = -6*m, -3*w + 13*m - 8*m = 9 for w. 2 Solve 0 = 38*v - 39*v + z + 3, 0 = -4*z - 16 for v. -1 Solve -i - 1 = 0, 5*i + 35 - 5 = 5*v for v. 5 Solve -1249*g + 14 = -1245*g - 2*f, 3*g - 4*f - 18 = 0 for g. 2 Solve -5*g = 5*z + 30, -2*z + g = -4*g - 65 for z. 5 Solve 2*v + t + 8 = 0, 0 = 3*v + 2350*t - 2352*t + 5 for v. -3 Solve 19*j - 26*j - 20 = -3*a, 5 = -3*a + 2*j for a. -5 Solve -4*o - 10 = 3*w + 19, -5 = o for w. -3 Solve 279*o - 280*o + 3*k - 24 = 0, -2*k - 61 = 3*o for o. -21 Solve 5*m + 2 = 3*d, -4*d - 97*m + 96*m = 5 for d. -1 Solve 3*c + 136*m - 135*m + 38 = 0, 0 = -3*c - 4*m - 35 for c. -13 Solve 127 = s - 4*r + 95, -4*s - 2*r - 34 = 0 for s. -4 Solve 7*y + 0*n + 3 = -5*n, -3*n + 18 - 26 = -2*y for y. 1 Solve 5*r + 24 + 31 = 5*f, 5*f - 48 = -r + 5*r for r. -7 Solve 23336*z + 3 = 23337*z, 7*z - 1 = 4*m for m. 5 Solve -65636*r + 7 = -3*z - 65632*r, -5*z + r - 40 = 0 for z. -9 Solve 5*d - 552 = -5*l - 537, 4 = 4*l - 5*d - 8 for l. 3 Solve -54*f + 56*f - 5*l - 23 = 0, 0 = 4*f + 12*l + 20 for f. 4 Solve 3*p + f + 3 = 0, 20*p - 288 = 24*p + 25*f for p. 3 Solve -13 = -3*u + 2*f, -3*u - 1589*f + 55 = -1594*f for u. -5 Solve -4*f + 29 = d, -2*f + 2384 = -5*d + 2375 for d. 1 Solve 3*j - 5*d + 32 = 0, 9*d + 4 = 2*j + 48 for j. -4 Solve -5*j - 13 = 5*b - 4*b, -4*b - 5*j - 22 = 0 for b. -3 Solve 4*s - 31 = -23048*x + 23045*x, 5*s - 31 = 4*x for s. 7 Solve -4*b = 2*f + 50, -27*f + 22*f = -3*b - 18 for f. -3 Solve 5*u + 5*x = 20, 154*u - 4*x = 149*u + 20 for u. 4 Solve 2*r - 5*o = -39, 0 = -o - 21 + 26 for r. -7 Solve -20*r - 2*g = -3 + 39 + 12, -r - 10 = 2*g for r. -2 Solve -15*w = -444*c + 449*c, 3*w - 2*c = 0 for w. 0 Solve 4*x = 5*p - 9*p + 28, -8*x - p = -28 for x. 3 Solve -c + 2*s = 8, 1120*c + s - 4 = 1118*c for c. 0 Solve 35 = 3*y - 8*y - 2*c, -5*c = 17*y - 22*y for y. -5 Solve -6*d + 2 = -7*d + 4*t, 26 = 4*d + t for d. 6 Solve -5*u = 4*k + 34, 2*u - 14 = -23*k + 26*k for u. -2 Solve 10*c - 140 = -5*o, 14*o - 11*o - 72 = -2*c for o. 22 Solve 15 = 4*m + 9*w - 4*w, -49 = -10*m - w for m. 5 Solve 4*x = 5*b + 8, 0 = 730*x - 729*x + 5*b
{ "pile_set_name": "DM Mathematics" }
. Let k(g) = 18*s(g) - 4*t(g). Differentiate k(y) wrt y. -16*y Find the third derivative of -61623*a**5 + 61623*a**5 + 1 + 123*a**2 + 159*a**6 wrt a. 19080*a**3 Let a(t) be the second derivative of -161*t**6/15 + t**4/6 - 110*t**3 + 879*t. Find the third derivative of a(c) wrt c. -7728*c Let p(z) = 100*z**2 - 135*z. Let w(g) = -100*g**2 + 135*g. Let t(f) = 7*p(f) + 6*w(f). What is the second derivative of t(o) wrt o? 200 Suppose 26 = 5*s - 2*f, -5*s + 2*f + 3*f + 35 = 0. Find the first derivative of -9 + a - 7*a + s*a - 2 wrt a. -2 Let f(j) be the third derivative of -2*j**2 + 0*j**6 + 0*j**4 + 23/60*j**5 + 0*j + 1/7*j**7 + 0 + 0*j**3. What is the third derivative of f(l) wrt l? 720*l Let x(t) = 2*t**4 - 11*t**2 + 8*t - 208. Let p(n) = 5*n**4 - 33*n**2 + 23*n - 624. Let c(q) = 6*p(q) - 17*x(q). Find the second derivative of c(b) wrt b. -48*b**2 - 22 Let v(s) be the second derivative of -36*s**5/5 - 41*s**3/6 + 3*s**2/2 - 544*s. Find the second derivative of v(h) wrt h. -864*h Let m = 2 - -1. What is the second derivative of -4*y + 479*y**2 - m*y**3 - 479*y**2 wrt y? -18*y Let o = 70 + -5. What is the second derivative of -q**4 + 0*q**4 + 7*q + 65 - o wrt q? -12*q**2 Let a(l) = l**2 - 7*l + 14. Let i be a(4). What is the second derivative of -3*s + 0*s + 3*s**2 - 11*s**i - 9*s**2 wrt s? -34 Let a(o) = 73*o**4 - 6*o**2 + 6*o - 70. Let t(w) = 146*w**4 - 13*w**2 + 13*w - 140. Let b(s) = 13*a(s) - 6*t(s). Differentiate b(u) wrt u. 292*u**3 Suppose -4*o + 8 = -2*w, -6 = o - 3*o. What is the third derivative of -5*t**w - t**3 - 15*t**3 - 5*t**3 - 3*t**2 wrt t? -126 Let q(f) be the first derivative of -f**7/21 - 7*f**3/6 + 6*f**2 + 6. Let k(l) be the second derivative of q(l). Differentiate k(w) wrt w. -40*w**3 Find the third derivative of -763*n**3 + 253*n**2 + 113*n - 2 - 221*n + 108*n + 35*n**2 wrt n. -4578 Let k(z) be the second derivative of -7*z**6/30 - z**4/6 + 29*z**2 + 23*z + 3. What is the first derivative of k(g) wrt g? -28*g**3 - 4*g Let n(f) = f**3 + 16*f**2 + 12*f - 28. Let i be n(-15). What is the third derivative of -38*m**2 + 19*m**6 - i*m**6 + 18*m**6 wrt m? 2400*m**3 Let k(j) be the first derivative of -j**6/3 - 3*j**3 - 29*j**2 - 41. Find the second derivative of k(y) wrt y. -40*y**3 - 18 Let f = 85 - 63. Find the third derivative of -f*z**2 + 2*z**2 - 16*z**3 - 7*z**2 wrt z. -96 Let g(z) be the first derivative of -34*z**6/3 - 2*z**2 + 9*z - 57. What is the second derivative of g(c) wrt c? -1360*c**3 Let g(a) be the second derivative of a**5/5 - 8*a**3/3 - 295*a**2 - a - 75. Differentiate g(q) wrt q. 12*q**2 - 16 Let t(k) be the third derivative of 103*k**5/20 + k**4/12 - 77*k**3 - 275*k**2. What is the derivative of t(q) wrt q? 618*q + 2 Let p(m) = -2*m - 10. Let x = -8 - -11. Let s(d) = 9 + 5*d + 0*d - x*d. Let g(f) = -4*p(f) - 5*s(f). Find the first derivative of g(o) wrt o. -2 Let l = -30 + 30. What is the second derivative of -21*i + l*i - 2*i**2 + 4*i**2 wrt i? 4 Let f(v) = v**4 + 65*v**3 + 478*v**2 - 2*v + 2. Let o(n) = n**2 + n - 1. Let m(q) = f(q) + 2*o(q). Find the third derivative of m(s) wrt s. 24*s + 390 Differentiate -38 - 31 - 8 - 36*a**3 - 26*a**3 with respect to a. -186*a**2 Find the second derivative of -35416 + 55*c**5 + 12*c - c**4 + 35416 wrt c. 1100*c**3 - 12*c**2 Differentiate 701*s**2 - 6*s**3 - 701*s**2 + 432 - 14*s wrt s. -18*s**2 - 14 Let p = 32 + -17. What is the derivative of 4*z**2 + 4*z**2 + p + z**2 + 3*z**2 wrt z? 24*z Let x(m) = 126*m**2 + 12*m + 16. Let b(h) = 251*h**2 + 22*h + 31. Let j(v) = 6*b(v) - 11*x(v). Differentiate j(d) with respect to d. 240*d Let q(k) be the third derivative of 13*k**6/60 + 15*k**4/4 - 110*k**2. What is the second derivative of q(d) wrt d? 156*d Suppose 4*p - h = -0*h + 12, -4*p - 2*h + 24 = 0. What is the second derivative of -2*w + w**p + 12*w - 15*w**4 wrt w? -168*w**2 Let i(m) be the second derivative of 3*m**4/4 - 5*m**3/6 - 137*m**2/2 + 18*m. Differentiate i(h) with respect to h. 18*h - 5 Suppose 2*o - 18 = 2. Suppose 0 = 5*d - 0 - o. Differentiate -11*t + 2*t - 5 - 4 + d wrt t. -9 Suppose -2*d + l = -20, -2*d + 2*l = d - 32. Suppose -10 = 3*u - d*u. Find the third derivative of -21*o**u - 10*o**5 + 29*o**2 + o**5 wrt o. -540*o**2 Suppose 0 = -3*j - 4*j + 14. Find the first derivative of -31 - 7*f**2 + 21 - 3*f**2 - f**j wrt f. -22*f Let a(n) be the third derivative of 0*n**4 - 25/6*n**3 - 42*n**2 + 0*n + 0*n**6 + 0 + 0*n**5 + 19/210*n**7. Differentiate a(q) wrt q. 76*q**3 Let h = 81 - 72. Let d(b) be the first derivative of -h - 3/2*b**6 + 0*b**2 + 0*b + 0*b**4 + 0*b**5 + 5/3*b**3. What is the third derivative of d(y) wrt y? -540*y**2 Find the second derivative of -46*o**5 + 132 + 261*o - 35*o**5 - 60*o**5 - 132 wrt o. -2820*o**3 Suppose 5*j - 41 = -4*m - 9, 4*j = 3*m + 7. Find the second derivative of b**m - b + 10*b + 14*b**3 - b wrt b. 90*b Let r(s) be the third derivative of -s**9/168 + s**7/105 - 3*s**5/2 + 63*s**2. What is the third derivative of r(k) wrt k? -360*k**3 + 48*k Let g be (-2 + 5 + -2)/(4/108). Find the second derivative of g*u + 9*u**4 + 7*u**4 + 5*u**4 wrt u. 252*u**2 Suppose 5*k = -2*s + 47, k - 4*s - 5 = -0. Find the second derivative of -6*a**5 + k*a**5 - 9*a + 26*a**5 - 21*a wrt a. 580*a**3 Let h(z) be the first derivative of -10 + 0*z + 3*z**2 + 16/5*z**5 + 0*z**4 + 0*z**3. Find the second derivative of h(s) wrt s. 192*s**2 Find the second derivative of -230*p**5 + 226*p**5 - 1 + 281*p + 1 + 3*p**2 - 4*p**2 wrt p. -80*p**3 - 2 Let j(h) be the second derivative of -h**6/30 + h**5/5 - 5*h**4/12 - 7*h**3/6 + 127*h. Find the third derivative of j(q) wrt q. -24*q + 24 Find the second derivative of -37*v - 45*v - 35*v + 126*v + 3 + 3*v**3 wrt v. 18*v Let m(p) = 27 + 0 + 15 - 71*p**2 + 54. Let i(s) = 14*s**2 - 19. Let x(l) = 11*i(l) + 2*m(l). Differentiate x(j) with respect to j. 24*j Suppose -3*c = -3*t + 2*t - 83, 3*c - 2*t = 82. Let s = c - 25. Find the third derivative of -7*z**2 - 6*z**3 + 4*z**3 - s*z**3 wrt z. -30 Suppose 4*i - 15 = -5*p - i, -3*i = 0. Suppose 2*q + 5 - p = -j, j = q + 4. What is the second derivative of -7*o - j*o - o - 6*o**2 wrt o? -12 Let l(x) = -173*x**2 - 194*x + 13. Let i(s) = 57*s**2 + 64*s - 4. Let p(f) = -7*i(f) - 2*l(f). Find the second derivative of p(j) wrt j. -106 Suppose -c = 3*c. Let w(j) be the second derivative of 0*j**4 + c*j**5 - 5/6*j**3 - 2*j + 0 + 0*j**2 + 1/30*j**6. Find the second derivative of w(o) wrt o. 12*o**2 Let z(n) = 12*n - 70. Let v be z(6). What is the third derivative of -79*u**3 + 116*u**3 - 12*u**v - 4*u**2 - 18*u**2 wrt u? 222 Let u(q) be the second derivative of -17*q**6/6 + q**4 - 3*q**2/2 + 4*q + 2. What is the third derivative of u(l) wrt l? -2040*l Let v(u) = -188*u**3 + 7*u**2 - 13*u - 156. Let x(k) = -125*k**3 + 5*k**2 - 9*k - 104. Let z(m) = -5*v(m) + 7*x(m). What is the first derivative of z(q) wrt q? 195*q**2 + 2 Let b = 36 - 15. Let k = b + -16. Find the second derivative of v + 0*v + 6*v**k - 9*v wrt v. 120*v**3 Let f = 0 + 2. Suppose 8 + 2 = f*q. Differentiate -1 - q*z - 3 - 3 + 2 with respect to z. -5 Let i(p) be the second derivative of -p**9/3024 + p**5/24 - 13*p**4/12 + 10*p. Let b(v) be the third derivative of i(v). Differentiate b(u) with respect to u. -20*u**3 Differentiate -36*a - 74 + 20 + 37*a + 52*a**3 wrt a. 156*a**2 + 1 Let t be ((-10)/(-6))/((-2)/(-6)). Let s(n) = -7*n**2 + 11*n. Let z(o) = 8*o**2 - 12*o. Let a(g) = t*z(g) + 4*s(g). Find the second derivative of a(h) wrt h. 24 Let s(i) be the third derivative of 25*i**8/112 - 2*i**4/3 + i**3/6 + 71*i**2. What is the second derivative of s(u) wrt u? 1500*u**3 Let d = 20 - 26. Let z(i) = -60*i**3 - 6*i**2 - 53. Let f(o) = 59*o**3 + 5*o**2 + 52. Let c(b) = d*f(b) - 5*z(b). Differentiate c(v) wrt v. -162*v**2 Let l be (-615)/(-195) - 4/26. What is the first derivative of -37*b**l + 6 - 13 - 16 wrt b? -111*b**2 Let m(t) be the second derivative of 0*t**4 + 0 - 1/14*t**7 - 7/3*t**3 + 18*t + 0*t**5 + 0*t**6 + 0*t**2. What is the second derivative of m(h) wrt h? -60*h**3 Let o(h) be the second derivative of 7/10*h**5 + 0 + h**3 + 0*h**2 + 2*h + 0*h**4. Find the second derivative of o(s) wrt s. 84*s Let j(l) be the first derivative of 22*l**7/7 - l**4/2 + 14*l**3/3 - 15*l + 167. Find the third derivative of j(
{ "pile_set_name": "DM Mathematics" }
culate p(8). 110 Let j(z) = -2*z**3 - 5*z**2 - 6*z - 4. Calculate j(-2). 4 Let c(j) = 361*j - 2524. Determine c(7). 3 Let r(q) = q**3 + 18*q**2 - q + 358. What is r(-19)? 16 Let r(m) = -2*m**3 + 4*m**2 + m - 4. What is r(-2)? 26 Let t(u) = 193*u - 2058. What is t(6)? -900 Let k(j) = -4*j**2 - 22*j - 156. Give k(-7). -198 Let t(z) = -3*z**3 + 367*z**2 + 242*z + 499. Determine t(123). 7 Let t(d) = d**3 - 13*d**2 + 11*d + 289. Give t(11). 168 Let l(m) = m**3 + 18*m**2 - 62*m - 22. Give l(-21). -43 Let j(a) = 127*a - 5356. Give j(42). -22 Let k(y) = 17*y - 88. Determine k(-12). -292 Let a(g) = -239*g + 236. What is a(1)? -3 Let g(q) = 3*q**2 + 27*q + 53. Determine g(-9). 53 Let i(m) = 706*m - 57901. What is i(82)? -9 Let j(y) = -y**3 - 13*y**2 + 19*y + 15. What is j(-14)? -55 Let z(s) = -6777*s - 74541. Determine z(-11). 6 Let l(q) = -q**3 - 7*q**2 + 6*q - 6. Determine l(-8). 10 Let d(v) = -64*v + 1688. What is d(24)? 152 Let w(d) = -4*d**3 + 10*d**2 + 5*d - 31. Determine w(5). -256 Let l(x) = -3*x**3 - 3*x**2 + 16*x + 36. What is l(-4)? 116 Let m(i) = 75*i - 928. Give m(12). -28 Let u(h) = 21*h - 839. Give u(39). -20 Let c(t) = -t**2 + 10*t + 6. Determine c(8). 22 Let o(a) = -359*a + 12226. Calculate o(34). 20 Let h(y) = -y**2 - 24*y + 86. Give h(-14). 226 Let w(z) = -77*z - 339. Give w(-6). 123 Let i(g) = -g**3 - 23*g**2 - 39*g - 39. What is i(-21)? -102 Let f(d) = 28*d - 420. Give f(43). 784 Let l(j) = -j**3 + 26*j**2 - 53*j - 14. Determine l(24). -134 Let d(p) = 43*p + 348. Give d(-15). -297 Let c(x) = -131*x - 7992. What is c(-61)? -1 Let z(u) = -6*u**2 + 21*u - 13. Determine z(2). 5 Let u(j) = 10*j**2 + 109*j + 763. Calculate u(-7). 490 Let w(m) = 6*m**3 + 65*m**2 - 6*m + 113. Calculate w(-11). 58 Let g(v) = 2*v**3 - 29*v**2 + 38*v + 17. Give g(13). 4 Let z(n) = 2*n**3 + 4*n**2 + 4*n + 14. Calculate z(-3). -16 Let a(q) = -10*q**2 - 420*q + 860. Determine a(2). -20 Let d(q) = 2*q**2 - 22*q - 33. Give d(13). 19 Let h(b) = 2*b**3 + 13*b**2 + 17*b + 17. Determine h(-5). 7 Let u(w) = 18*w**2 - 2*w - 2. Give u(-7). 894 Let j(u) = 3*u + 102. Give j(10). 132 Let r(l) = -10*l**2 - 233*l - 1170. Determine r(-16). -2 Let o(t) = -2*t**3 + 6*t**2 + 17*t - 106. Give o(5). -121 Let o(q) = -1656*q - 26499. Give o(-16). -3 Let v(b) = -b**2 + 31*b - 169. Give v(5). -39 Let q(p) = -p**3 - p**2 + 135*p - 32. Give q(11). 1 Let o(p) = 201*p + 1632. Determine o(-8). 24 Let p(q) = q**3 - 9*q**2 - 42*q + 148. Calculate p(3). -32 Let g(v) = 56*v + 561. What is g(-10)? 1 Let j(b) = -79*b + 286. What is j(4)? -30 Let y(p) = 54*p - 63. Give y(3). 99 Let m(f) = -72*f + 24. Give m(-4). 312 Let j(c) = -1929*c + 50149. What is j(26)? -5 Let f(h) = -5*h - 225. Determine f(-44). -5 Let n(v) = -3*v**2 + 99*v + 981. Determine n(41). -3 Let z(a) = 2*a**3 - 152*a**2 - 24*a + 1818. Calculate z(76). -6 Let x(m) = 5*m**2 - 87*m + 258. Give x(8). -118 Let j(r) = -r**2 + 146*r + 15185. Calculate j(-70). 65 Let p(n) = 11486*n. Give p(0). 0 Let p(w) = w**3 + 9*w**2 + 12*w - 2. Determine p(-7). 12 Let a(y) = -y**3 - 16*y**2 - 32*y - 2239. Determine a(-20). 1 Let c(z) = 151*z - 1699. Determine c(11). -38 Let z(d) = -36*d + 70. What is z(2)? -2 Let f(o) = -5*o - 39. Give f(6). -69 Let c(l) = -5*l**2 + 19*l - 15. Give c(3). -3 Let b(x) = 5*x**2 - 17*x - 10. Determine b(-6). 272 Let s(m) = 4*m**3 + 10*m**2 - 258*m - 531. Give s(-2). -7 Let o(y) = -210*y + 8157. Determine o(39). -33 Let a(r) = -r**3 - 27*r**2 + 81*r - 262. Calculate a(-30). 8 Let q(n) = -n**3 + 51*n**2 - 54*n + 297. What is q(50)? 97 Let b(j) = 27*j**2 - 51*j - 1. What is b(2)? 5 Let t(f) = -221*f + 8478. Calculate t(38). 80 Let n(v) = -40*v + 101. Give n(2). 21 Let q(g) = -g**2 - 108*g - 1420. Give q(-16). 52 Let t(k) = 1346*k - 20199. Give t(15). -9 Let v(o) = -3*o**3 - 138*o**2 - 41. Give v(-46). -41 Let w(l) = 206*l**2 - 69*l + 3. Give w(1). 140 Let w(g) = -g**3 - g**2 + 131*g + 388. Calculate w(-3). 13 Let j(a) = -15*a + 680. Determine j(46). -10 Let s(z) = 46*z - 49. What is s(1)? -3 Let w(m) = -2*m**3 + 41*m**2 - 17*m - 52. Give w(20). 8 Let s(n) = 5*n**2 + 29*n - 351. What is s(6)? 3 Let v(f) = 582*f - 15138. Calculate v(26). -6 Let i(c) = -833*c + 40823. Give i(49). 6 Let c(w) = 33*w + 1168. Give c(-35). 13 Let p(n) = -256*n + 2280. Calculate p(7). 488 Let j(r) = -r**2 + 832*r - 9. Give j(0). -9 Let c(q) = -q**2 - 36*q - 318. Give c(-24). -30 Let n(y) = -5934*y - 47479. What is n(-8)? -7 Let w(b) = 3*b - 134. Give w(22). -68 Let u(a) = 81*a + 2337. What is u(-32)? -255 Let m(h) = -782*h + 44. Determine m(0). 44 Let r(b) = 6*b**3 - b - 134. What is r(0)? -134 Let f(i) = -11*i**2 - 326*i + 124. Give f(-30). 4 Let o(j) = -206*j + 1242. Determine o(6). 6 Let k(r) = -6*r**3 + 4*r**2 - 4*r. Give k(2). -40 Let t(o) = o**3 + 79*o**2 + 147*o - 11469. What is t(-75)? 6 Let j(w) = -w**3 - 56*w**2 + 239*w - 79. What is j(-60)? -19 Let n(m) = 63*m + 69. Give n(6). 447 Let y(d) = -4*d**3 + 135*d**2 + 48*d - 433. Calculate y(34). 43 Let z(b) = -b**3 - 88*b**2 - 88*b - 44. Determine z(-87). 43 Let z(u) = 935*u - 1858. Determine z(2). 12 Let c(t) = t**3 + 21*t**2 + 10*t + 207. Calculate c(-21). -3 Let j(o) = o**3 - 19*o + 200. Calculate j(0). 200 Let x(a) = -10*a**2 - 531*a - 6926. What is x(-23)? -3 Let c(k) = 2*k**3 - 7*k**2 - 13*k + 37. Determine c(3). -11 Let c(m) = m**3 - 11*m**2 - m + 11. What is c(10)? -99 Let n(u) = -2*u**3 + 16*u**2 - 32*u + 10. Give n(5). 0 Let o(g) = 43*g - 213. Calculate o(6). 45 Let u(r) = -2*r**3 + 40*r**2 - 71*r + 550. What is u(19)? -77 Let a(l) = -80*l + 2356. What is a(30)? -44 Let n(y) = -y**3 - 11*y**2 - 83*y - 428. Determine n(-7). -43 Let s(p) = 14*p**2 + 473*p - 98. Determine s(-34). 4 Let z(b) = 4*b**3 - 418*b**2 - 4336*b + 448. What is z(114)? -8 Let x(g) = -1158*g - 6948. What is x(-6)? 0 Let o(j) = -15*j**2 - 704*j + 47. What is o(-47)? 0 Let y(d) = 52*d + 3. What is y(-1)? -49 Let i(z) = -72*z - 1767. What is i(-20)? -327 Let q(v) = 657*v - 2594. Calculate q(4). 34 Let z(c) = -1147*c - 10287. Calculate z(-9). 36 Let f(a) = -23*a + 69. Calculate f(-7). 230 Let b(y) = -2*y**2 + 12*y + 4. Determine b(-3). -50 Let i(b) = -2*b**3 + 5*b**2 + 39*b - 54. Determine i(6). -72 Let a(s) = -s**3 - 3*s**2 + 24*s - 42. Determine a(2). -14 Let p(q) = -31*q + 376. What is p(11)? 35 Let m(h) = h**3 - 25*h**2 - 146*h + 3655. What is m(25)? 5 Let i(u) = -67*u + 668. Calculate i(10). -2 Let q(c) = 184*c - 7540. Determine q(41). 4 Let l(s) = -2*s**3 - 188*s**2 - 113*s + 6781. What is l(-93)? -8 Let d(s) = 19*s - 149. Calculate d(-10). -339 Let d(i) = -9*i**2 + 64*i + 5. Give d(8). -59 Let p(i) = -i**3 - 22*i**2 + 137*i - 10. Determine p(5). 0 Let t(r) = -r**2 + 10*r + 1. What is t(3)? 22 Let w(l) = 9*l**2 + 57*l - 171. Calculate w(4). 201 Let w(a) = 2*a**3 + a**2 + 13*a - 20. Determine w(-5). -310 Let f(g) = -g**3 + 21*g**2 - 98*g + 32. Determine f(8). 80 Let h(o) = 2*o + 157. What is h(-49)? 59 Let a(m) = 10*m + 273. Calculate a(-35). -77 Let y(z) = -10*z + 135. Give y(-6). 195 Let g(p) = 46*p**2 - 288*p + 77. What is g(6)? 5 Let n(l) = 2*l**2 + 15*l - 9. Calculate n(4). 83 Let j(b) = -26*b - 308. Give j(4). -412 Let l(d) = d**2 - 20*d + 33. What is l(13)? -58 Let k(i) = 5*i + 14. Give k(17). 99 Let u(w) = 123*w - 485. Calculate u(4). 7 Let t(q) = 66*q**2 - 8712*q - 14. What is t(132)? -14 Let f(c) = -298*c + 16385. What is f(55)? -5 Let r(c) = -c**2 - 92*c + 827. What is r(-100)? 27 Let j(x) = x**3 + 3*x**2 - 1365*x - 2739. Calculate j(-2). -5 Let m(w) = -7*w**2 - 30*w + 5111. What is m(25)? -14 Let p(c) = 743*c + 4451. Give p(-6). -7 Let n(d) = -d**2 - 105*d - 2149. What is n(-26)? -95 Let s(n) = -19*n - 221. What is s(-13)? 26 Let h(a) = 2*a**2 - 140*a + 933. Determine h(63). 51 Let c(s) = -s**2 + 15*s + 67. Determine c(-20). -633 Let s(p) = -p**2 + 58*p - 186. Give s(8). 214 Let z(t) = 133*t**3 - 4*t**2 - 11*t - 7. Give z(-1). -133 Let c(b) = 855*b - 8554. Determine c(10). -4 Let f(l) = 2*l**3 + 421*l**2 - 55*l + 32900. What is f(-211)? -16 Let a(j) = -11*j - 9. Give a(-1). 2 Let p(m) = m**3 + 7*m**2 - 114*m - 44. What is p(-15)? -134 Let w(h) = h**2 - 18*h - 1186. What is w(-28)? 102 Let h(m) = 48*m**2 + 237*m - 7. Determine h(-5). 8 Let t(m) = m**3 - 72*m**2 + 87*m - 1139. Give t(71). -3 Let s(q) =
{ "pile_set_name": "DM Mathematics" }
15 + 5*x**4/4 + 3*x**3 - 2*x**2 - 26. Determine p, given that w(p) = 0. -3, -1, 1 Let m = 17 - 1. Let o = 16 - m. Factor o + 2/3*w**2 - 4/3*w. 2*w*(w - 2)/3 Suppose -h = -2*h + 291. Determine a, given that -9*a**4 - 285*a**3 + a - a + 3*a**5 + h*a**3 = 0. 0, 1, 2 Suppose 0 = -3*c - 3*x - 3 - 3, c + 6 = -2*x. Determine g, given that -92*g**2 - 3*g**4 + 181*g**c - 89*g**2 = 0. 0 Suppose 0 = t + 3*t + 12. Let i = 0 - t. Determine p, given that -5*p**2 + 3*p**i - 14 + p**4 - 2*p**5 + 14 + p**5 + 2*p = 0. -2, 0, 1 Let w(f) = -8*f**2 + 4*f - 2. Let l(g) = -5*g - 8*g - 4*g + 9 + 33*g**2 + g. Let b(m) = 2*l(m) + 9*w(m). Find p such that b(p) = 0. 0, 2/3 Let p(o) be the third derivative of -1/480*o**5 - 1/48*o**4 + 35*o**2 - 1/12*o**3 + 0 + 0*o. Determine m so that p(m) = 0. -2 Solve 2/5*x**3 + 28/5*x**2 + 24/5 + 10*x = 0 for x. -12, -1 Let d(z) be the second derivative of z**7/5040 - z**5/240 - 2*z**4/3 + z. Let n(c) be the third derivative of d(c). Factor n(s). (s - 1)*(s + 1)/2 Let m(n) be the second derivative of n**7/42 + 8*n**6/15 + 4*n**5 + 32*n**4/3 + 19*n - 2. Determine b so that m(b) = 0. -8, -4, 0 Suppose -2*c = 5*c. Suppose c = -5*r + r + r. Let -2/11*f + r - 2/11*f**2 = 0. Calculate f. -1, 0 Let j(s) = s**2. Let m = 12 + -12. Suppose 0 = 5*l - a + 22, -3*l - 2*a + 0*a - 8 = m. Let x(y) = 10*y**2 - 16*y + 8. Let p(b) = l*j(b) + x(b). Factor p(i). 2*(i - 2)*(3*i - 2) Let h = -4098 + 12319/3. Factor -5/3*o**2 - h*o + 0. -5*o*(o + 5)/3 Let l(d) be the second derivative of -d**4/3 - 302*d**3/3 - 300*d**2 - 33*d + 7. Let l(o) = 0. What is o? -150, -1 Suppose 2*g + 2 = -z + 14, -5*z - g = -15. Let q = 511/6 + -85. Suppose 1/6 + q*b - 1/6*b**z - 1/6*b**3 = 0. What is b? -1, 1 Let z(x) be the first derivative of -x**3/5 + 54*x**2/5 - 204*x/5 + 365. Factor z(h). -3*(h - 34)*(h - 2)/5 Let k(r) be the second derivative of r**7/2310 + r**6/660 - r**5/220 - 13*r**2/2 + 7*r. Let o(x) be the first derivative of k(x). Factor o(c). c**2*(c - 1)*(c + 3)/11 Let p be ((-4)/(3 - 7))/((-1)/(-25)). Factor -3*j**3 - 3*j**4 + 0*j**4 + 28*j**2 + 3*j**5 - p*j**2. 3*j**2*(j - 1)**2*(j + 1) Suppose 0 = -84*i + 88*i + 12. Let c be (((-324)/(-6))/i)/(6/(-4)). Solve 11/3*l**3 + 0*l - 4/3 - c*l**5 - 16*l**4 + 9*l**2 = 0 for l. -1, -2/3, 1/2 Let q = -92 + 94. Suppose -9*t**2 + 10*t**q + 3 - 4*t**2 = 0. Calculate t. -1, 1 Let n be (48/(-5))/(-4) + 6/(-15). Solve -2*g - 2*g**5 - 12 - 5*g**4 + g**5 - 7*g**n - 9*g**3 + 12 = 0 for g. -2, -1, 0 Let u(m) = -5*m**5 + 16*m**3 - 11*m - 6. Suppose 9*d = 9 - 63. Let c(l) = 5*l**5 - 15*l**3 + 10*l + 5. Let r(h) = d*c(h) - 5*u(h). What is w in r(w) = 0? -1, 0, 1 Factor 11/9*d - 2/9*d**2 - 1/9*d**3 + 4/3. -(d - 3)*(d + 1)*(d + 4)/9 Let n(y) be the first derivative of -y**6/1350 - y**5/300 + y**4/90 - y**3 - 3. Let a(t) be the third derivative of n(t). Factor a(k). -2*(k + 2)*(2*k - 1)/15 Let i(y) = -y**3 - y - 1. Let t(m) = -7*m**3 - 12*m**2 - 3*m + 13. Suppose -57*l = -59*l - 6. Let g(c) = l*i(c) + t(c). Determine b so that g(b) = 0. -2, 1 Let v(m) be the second derivative of 0*m**2 + 0 + 1/21*m**7 + 1/15*m**6 - 1/6*m**4 + 0*m**3 - 1/10*m**5 + 5*m. What is r in v(r) = 0? -1, 0, 1 Let i be -4 + 1442/308 + (-12)/66. Find x such that 1/4*x**2 - i + 1/4*x = 0. -2, 1 Let t = 4/4165 - -4153/12495. Factor -1/6*c**2 + t + 1/6*c. -(c - 2)*(c + 1)/6 Let f(b) be the second derivative of -2*b**6/15 + 6*b**4 + 64*b**3/3 + 30*b**2 + 2*b + 53. Let f(p) = 0. Calculate p. -3, -1, 5 Let f be 354/(-120) + 5 - 12/15. Determine i so that -5/4*i + 0*i**2 + f*i**3 + 0 = 0. -1, 0, 1 Suppose -34 = -4*p - 10. Solve 808 - p*q**2 + 3*q**3 - 393 - 391 - 12*q = 0. -2, 2 Factor 12/5*f + 0 - 2*f**2. -2*f*(5*f - 6)/5 Factor -32/5 - 4/5*d**3 + 24/5*d + 12/5*d**2. -4*(d - 4)*(d - 1)*(d + 2)/5 Factor -3/2*j**2 + 15/2*j - 9. -3*(j - 3)*(j - 2)/2 Let t = 1799 - 3553/2. Factor -5/2*h**2 - t - 15*h. -5*(h + 3)**2/2 Solve -20*r**2 + 26*r + 22 + r**4 - 94*r + 24*r**3 + 44*r - 3*r**4 = 0. -1, 1, 11 Let a be ((-148)/8)/(2/2). Let m = 19 + a. Solve m*w**4 - 1/2*w**2 + 0*w - 1/2*w**5 + 1/2*w**3 + 0 = 0 for w. -1, 0, 1 Let m(f) be the second derivative of 4*f - 1/14*f**4 + 2/35*f**5 - 1/105*f**6 + 0*f**2 + 0 + 0*f**3. Find w, given that m(w) = 0. 0, 1, 3 Suppose -6 = -3*v + r, -7*v + 3*v + 8 = 4*r. Factor -2/7*p**v + 0*p + 8/7. -2*(p - 2)*(p + 2)/7 Find a, given that 4/3*a**5 - 12 - 22/3*a**3 + 14*a - 14/3*a**4 + 74/3*a**2 = 0. -2, -1, 1/2, 3 Factor -169/2*z**3 - 9/2*z - 39*z**2 + 0. -z*(13*z + 3)**2/2 Factor 4*i**2 - 39 - 26*i - 30*i + 2*i**2 + 14*i**3 + 15. 2*(i - 2)*(i + 2)*(7*i + 3) Suppose 16 - 6 = 5*d. Let b(w) be the second derivative of 0*w**2 + 1/110*w**5 + d*w + 1/33*w**3 - 1/33*w**4 + 0. Factor b(x). 2*x*(x - 1)**2/11 Let l(z) = -3*z**2 - 328*z + 5124. Let h(w) = -5*w**2 - 330*w + 5125. Let u(x) = 4*h(x) - 5*l(x). Factor u(a). -5*(a - 32)**2 Let w(f) be the second derivative of -4*f**4/33 - 53*f**3/33 + 21*f**2/11 + 2*f + 40. Factor w(q). -2*(q + 7)*(8*q - 3)/11 Let b(s) be the first derivative of s**6/3 - 8*s**5/5 - 3*s**4 + 24*s**3 - 27*s**2 - 353. Let b(g) = 0. What is g? -3, 0, 1, 3 Let f = 28/47 + -46/235. Let d = 49/4 - 233/20. Factor -f - 1/5*y**2 + d*y. -(y - 2)*(y - 1)/5 Suppose 3*d**2 - 32/3 - 2/3*d = 0. Calculate d. -16/9, 2 Factor -8/3 - 1/9*h**2 - 10/9*h. -(h + 4)*(h + 6)/9 Let w(v) be the third derivative of -v**7/945 + v**6/270 + v**5/270 - v**4/54 + 63*v**2. Factor w(z). -2*z*(z - 2)*(z - 1)*(z + 1)/9 Determine i so that 1 - 1899*i**2 + 0 + 1898*i**2 = 0. -1, 1 Let 144 + 30*b**2 + 3/2*b**3 - 138*b = 0. What is b? -24, 2 Let i(d) be the first derivative of 5*d**2 - d**3 - 1/8*d**5 - d**4 + 7/80*d**6 - 2 + 0*d. Let x(a) be the second derivative of i(a). Factor x(g). 3*(g - 2)*(g + 1)*(7*g + 2)/2 Let r(n) be the second derivative of -n**6/90 + 109*n**5/180 - 9*n**4/4 + 19*n**3/6 - 17*n**2/9 - 7*n + 17. Suppose r(u) = 0. Calculate u. 1/3, 1, 34 Let n be 8/(-30)*15/10*-180. Let z be 9*2/n*3. Find j, given that 0 - z*j**4 + 9/2*j**3 + 0*j - 27/4*j**2 = 0. 0, 3 Let v(d) be the first derivative of -2/3*d + 6 + 1/3*d**3 - 5/6*d**2. Suppose v(x) = 0. What is x? -1/3, 2 Let i(u) = 9*u**2 - 33*u + 6. Let r(x) = -22*x**2 + 66*x - 14. Let y(q) = 7*i(q) + 3*r(q). Determine d so that y(d) = 0. -11, 0 Let i(k) be the third derivative of k**8/70560 + k**7/2205 + 2*k**6/315 + 7*k**5/30 + 6*k**2. Let n(g) be the third derivative of i(g). Factor n(d). 2*(d + 4)**2/7 Suppose 3*w - 37 = -25. Suppose w*c - 12 + 0 = 0. Factor 0*h**2 + 1/3*h**c - h - 2/3. (h - 2)*(h + 1)**2/3 Let d(g) = -2*g**3 - 8*g**2 - 2*g - 5. Let l be d(-4). Suppose -2*z + i = 1, l*i - 4 = 5*z - 1. Factor 4/11*r**2 - 6/11*r**3 + z + 2/11*r. -2*r*(r - 1)*(3*r + 1)/11 Let j = -57 + -282. Let y = 2375/7 + j. Determine h, given that -4/7*h**4 + 4/7*h**2 + 0*h - y*h**5 + 0 + 2/7*h**3 = 0. -2, -1, 0, 1 Suppose -22*i + 41 = -3. Let l(r) be the third derivative of 0*r + 0*r**4 + 1/420*r**6 + 0*r**3 + 0 - 1/210*r**5 - 4*r**i. Factor l(m). 2*m**2*(m - 1)/7 Let h(g) be the third derivative of -g**7/1365 + 11*g**6/260 + 7*g**5/26 + 107*g**4/156 + 12*g**3/13 - 158*g**2 + g. Factor h(w). -2*(w - 36)*(w + 1)**3/13 Factor 3/2 + 204363/8*r**2 - 783/2*r. 3*(261*r - 2)**2/8 Factor -2/3*h**2 + 18 - 52/3*h. -2*(h - 1)*(h + 27)/3 Let h = -9 + -2. Let u be (h - -9)*(-4)/6. Determine d so that 16/9*d**2 + 2/9*d**4 + 4/3*d**3 - u*d - 2 = 0. -3, -1, 1 Let t be 8/(-3)*(305/20 - 16). Solve -2/3*z + 0 + 8/3*z**t = 0. 0, 1/4 Let t(j) = -14*j**2 + 2*j. Suppose -5*y - 30 = 10. Let i(w) = 5*w**2 - w. Let l(s) = y*i(s) - 3*t(s). Factor l(f). 2*f*(f + 1) Let b = -73/30 - -44/15. Let k = -32 - -65/2. Factor k*w - 1 + b*w**2. (w - 1)*(w + 2)/2 Let w = 6 + -12. Let c be (w/4)/(9/(-12)). Suppose 4*p - 3 + 0 + 1 + 0 - c*p**2 = 0. Calculate p. 1 Let z(l) be the second derivative of -l**7/840 - l**6/240 + l**4/48 + l**3/24 - 2*l**2 - 3*l. Let g(x) be the first derivative of z(x). Factor g(w). -(w - 1)*(w + 1)**3/4 Find i, given that 43*i**3 + 121 + 50*i**3 + 506*i - 23*i**3 + 452*i**2 + 3*i**4 = 0. -11, -1, -1/3 Let p = -203 + 203. Let t(x) be the third derivative of -3*x**2 + 0*x + 0 - 1/36*x**4 - 1/180*x**5 + p*x**3 + 1/360*x**6. Factor t(z). z*(z - 2)*(z + 1)/3 Let z(y) be the third derivative of 1/8*y**4 + 1/280*y**7 + 0 + 0*y + 1/32*y**6 + 1/
{ "pile_set_name": "DM Mathematics" }
common factor of t and h. 11 Suppose 0 = 6*b - 3*b - 36. Let y = -45218 + 45224. What is the highest common divisor of y and b? 6 Let o = 569 + -894. Let k be 6/(-4 - o/80). Calculate the highest common divisor of k and 120. 24 Let v be (181/(-5))/((-24 - -22)/((-20)/(-2))). Calculate the highest common divisor of v and 543. 181 Let l = 7 + 520. Calculate the greatest common divisor of l and 124. 31 Let p = -86 + 140. Suppose 0*z + p = 2*a + 2*z, 32 = a - 4*z. Let s(b) = 5*b**2 - 4*b + 2. Let f be s(2). What is the greatest common factor of f and a? 14 Let k be 31 - (-1 - (3 + -3)). Suppose 0 = 4*p + g + k, -16 + 0 = 2*p - 3*g. Let j be (-1)/(-4 + (-31)/p). What is the greatest common divisor of 24 and j? 8 Suppose -3*g + 0*g = 5*b - 6, g - 1 = -2*b. Suppose 0 = -g*z + 168 + 21. What is the greatest common divisor of z and 3? 3 Let y = 9 + -9. Suppose y = 5*z - 3*z - 24. Let t = 120 + -116. Calculate the highest common factor of t and z. 4 Let d(s) = -2086*s + 1363. Let l be d(0). Calculate the highest common factor of 87 and l. 29 Let u(t) = -2*t - 10. Let z be u(-7). Suppose -m - 2 - z = 0. Let d = m - -12. Calculate the highest common divisor of 2 and d. 2 Let q = -12 - -12. Suppose 5*s - 84 = -3*r, 0 = s - q*r + r - 18. Let j(u) = 136*u**3 - u. Let f be j(1). Calculate the highest common factor of s and f. 15 Let b be (-896)/(-20)*(5 + (-15)/6). Calculate the highest common factor of 588 and b. 28 Let d be (3/(27/57))/(4/12). Let l = -937 + 938. What is the greatest common factor of d and l? 1 Suppose 3*g + 4*j = 320, 2*j - 120 = -g - 2*j. Suppose 9*q = -4*q - 21*q + 2040. Calculate the highest common factor of g and q. 20 Let a(w) = 5*w + 173. Let z(h) = -h**3 - 4*h**2 + 6*h + 6. Let x be z(-3). Let j be a(x). What is the greatest common factor of j and 51? 17 Suppose 3896 = 4*a + 6*q, 5*a + 4*q - 4912 = 7*q. What is the highest common factor of a and 40? 20 Let m(u) = 37*u**2 + 366*u + 6. Let q be m(-10). Calculate the greatest common factor of 2300 and q. 46 Let z(a) = -3*a**2 - 57*a - 222. Let k be z(-13). What is the greatest common divisor of k and 236? 4 Let p = -84591 + 84620. Suppose 36 = 2*x - 66. Suppose j - x = -22. Calculate the highest common factor of j and p. 29 Let w = -11005 - -11470. Calculate the highest common divisor of 403 and w. 31 Let y = 3313 + -3053. Calculate the highest common factor of y and 325. 65 Let l be 1 - (2 + 3) - (7 + -31). Let k = -96 - -156. Suppose 25*h - k = l*h. What is the highest common divisor of h and 30? 6 Let i(g) = -4*g**2 - 8*g + 13. Let n be i(-3). Let s be 71 - (-3 - (n + 0)). What is the greatest common divisor of s and 120? 15 Let j = 23793 - 19900. Calculate the greatest common factor of j and 1832. 229 Let n(a) = -2*a - 11 - 14 + 56*a**2 + 27. Let h be n(1). Calculate the highest common divisor of 98 and h. 14 Let z(j) be the first derivative of -10*j**2 - 4*j - 1. Let x be z(-3). Let r = 16092 + -16008. What is the greatest common divisor of r and x? 28 Suppose 10*i - 3234 = -4*i. Let l = 60 + 10. Let x = -37 + l. Calculate the highest common factor of i and x. 33 Let a = -2711 - -4491. What is the greatest common divisor of a and 534? 178 Suppose 2*y + u = 209, -3*y + 308 + 7 = 3*u. Let m(s) = -s**3 - 63*s**2 - 32*s + 1873. Let j be m(-62). Calculate the highest common divisor of y and j. 13 Let y(c) = -5*c**3 - 3*c**2 + 16*c + 32. Let l be y(-2). Suppose -l*h + 454 = -554. What is the highest common divisor of 1044 and h? 36 Let l be -2 - (-3)/(9/15). Suppose 5*b - l*y + 8 - 21 = 0, -y - 5 = -2*b. What is the greatest common factor of b and 14? 2 Let l(a) = a**2 - 15*a + 38. Let h be l(11). Let n be (-21)/(-14)*(-140)/h + 1. What is the greatest common factor of 28 and n? 4 Suppose 3*x = -21, -103*x + 101*x - 334 = -5*a. Calculate the greatest common divisor of 28096 and a. 64 Let v(s) = 4*s - 31. Let x be v(9). Suppose r - 2*b = 180, 61 - 606 = -3*r + x*b. What is the highest common divisor of r and 5? 5 Suppose 2*r - 28 = -0*r. Let t be (-18)/99 - (-482)/(-11). Let y = 128 + t. What is the highest common divisor of r and y? 14 Let w = -5 + 22. Suppose a + 2*c = -c + w, -5*a - c = -29. Suppose -2*x - a*x = -2205. What is the highest common divisor of x and 35? 35 Let w(p) = -p**3 + 12*p**2 - 32*p + 55. Let x be w(9). Calculate the highest common divisor of x and 2680. 10 Let y = -134 - -80. Let g be 28/(-35)*(1 - 91). Let v = g + y. What is the highest common divisor of 2 and v? 2 Suppose 531 = 3*b + 15*n - 24*n, 2*b - 4*n - 368 = 0. Let l be (14 + -2)*6/4. Calculate the greatest common divisor of b and l. 18 Suppose -3*r - 61 = -2*p + 70, p = 3*r + 58. Let v = -1430 + 2014. What is the greatest common factor of p and v? 73 Let w(a) = -a**2 + 21*a + 27. Suppose 0 = 3*p + 38 - 101. Let n be w(p). What is the greatest common divisor of 99 and n? 9 Let j(r) = r**2 + 22*r - 405. Let h be j(12). Suppose 0 = 5*p - 0*p. Let y be (p - -1)*9*3. Calculate the highest common divisor of h and y. 3 Suppose -4*a + 1 = -i - 9, 5*a = -5*i. Let t(s) = 23*s**2 - 4*s + 4. Let p be t(a). Calculate the highest common factor of 66 and p. 22 Let p(t) = -2*t**3 - 44*t**2 - 43*t - 36. Let n be p(-21). Let w be (351/n)/((-2)/20). What is the greatest common factor of 18 and w? 18 Let d = -63 - -140. Let t = -60 + d. Let w = 46 - t. What is the highest common factor of w and 116? 29 Suppose -75*n + 77*n + 4*u = 3256, 5*u + 3265 = 2*n. What is the greatest common divisor of 30 and n? 10 Let j be ((2/(-7))/((-176)/308))/((-2)/(-268)). Calculate the highest common factor of 4 and j. 1 Suppose 0 = 539*c - 597*c + 232. Calculate the highest common factor of c and 21. 1 Let r(a) = -a**2 - 6*a - 6. Let i be r(-4). Suppose o = -5*p - 21, 3*o + 150*p - 175 = 149*p. What is the greatest common factor of o and i? 2 Let x = 39 - 15. Suppose 17*k - 14 - 3 = 0. Let d be (-2)/4*k*-38 - 1. Calculate the greatest common divisor of x and d. 6 Suppose -10 = 2*v + 4*o, v + 2*o = 6*o + 19. Suppose 55 + 47 = -v*a. Let w = 32 - a. What is the highest common factor of w and 11? 11 Let d(i) = -i**2 + 77*i - 408. Let l be d(29). Calculate the highest common factor of l and 42. 6 Suppose 0 = 3*q + 3*g - 32052, 5*q + 9879 = -3*g + 63289. What is the highest common divisor of 59 and q? 59 Suppose 0 = 5*u + 25, -2*n + u = 26 - 7. Let o(k) = -5*k**2 - 61*k + 8. Let j be o(n). What is the greatest common factor of 5 and j? 5 Suppose 699 = 5*q + 449. Suppose -q*m = -38*m - 3024. Calculate the highest common divisor of m and 108. 36 Let k be 5 + (-24)/4 - (-3)/1. Suppose 0 = k*y + 2*v - 206, 2*y + y = 5*v + 349. Calculate the highest common factor of 162 and y. 54 Suppose -2875 + 19 = -119*r. What is the greatest common divisor of 2364 and r? 12 Let y(t) = 2*t**3 - 4*t**2 - 7*t - 1. Let d be y(5). Let v = -508 - -504. Let c be -8*v/32*38. Calculate the greatest common divisor of d and c. 38 Let k = -20303 - -21603. Calculate the greatest common factor of k and 1235. 65 Let t be 2 + (-33)/15 + 282/(-15). Let z(s) = -2*s**2 - 35*s + 60. Let c be z(t). Suppose q + 66 = 3*q. Calculate the greatest common divisor of q and c. 3 Let z = -21423 + 25923. What is the greatest common divisor of 2340 and z? 180 Suppose 11*v + 3*v = 112. Suppose 0*c + 274 = 2*q + c, -262 = -2*q + 5*c. Calculate the highest common factor of q and v. 8 Let y(a) = 16*a**2 + 187*a + 1104. Let k be y(-6). Calculate the highest common factor of k and 744. 186 Suppose -z = -237*j + 239*j - 129, 3*j - 3*z - 207 = 0. Calculate the highest common factor of 132 and j. 66 Let k = -3410 + 4353. What is the greatest common factor of k and 207? 23 Suppose 4*r + 2*a - 132 = 0, a = -179*r + 174*r + 174. Calculate the greatest common factor of r and 54. 18 Let k(c) = -2*c**3 - 10*c**2 - c - 3. Let n be k(-5). Suppose 4*z + 2*f = 9*z - 76, -3*z = -n*f - 48. What is the highest common factor of 56 and z? 14 Suppose 90*q - 4367 - 1033 = 0. What is the highest common divisor of 11460 and q? 60 Let x be -4 + 186/45 + (-346237)/(-285). What is the highest common divisor of x and 15? 15 Let c(g) = -125*g - 4972. Let d be c(-43). What is the greatest common divisor of 221 and d? 13 Suppose 3*o = 12, -3*y + 6*y - 2*o = -2. Suppose -6 = -5*r - 31, y*d = -2*r. Calculate the highest common d
{ "pile_set_name": "DM Mathematics" }
2*s**3 + (-1 + 3 - 3)*(2*s**3 - 4*s + 4*s) + 2*s**2 + s**3 - 2*s**2. -4*s**3 Expand 3 - 2*u - 3 - u + 4*u - 4*u + (0 - 3 + 2)*(-3*u + 4*u + u) + (4 - 4 - u)*(-8 + 12 - 10). u Expand (3*i**3 + 19*i - 19*i)*(2*i - 1 + 1). 6*i**4 Expand (2*i**2 + 10*i**2 - 6*i**2)*(2 + 0 + 0 + (3 - 3 - 2)*(-2 - 3 + 4) - 3 + 5 - 3 + 0 + 1 - 2). 12*i**2 Expand (1 - 4 + 0)*(-2*f + 2*f - 3*f). 9*f Expand (-2*f - 4*f + 4*f)*(2*f + 0*f - 3*f + (1 + 1 + 0)*(3*f - 4*f + 0*f)) - 2*f**2 - 5*f**2 + 3*f**2. 2*f**2 Expand (-3*w**2 + 3*w**2 + 3*w**2)*(0*w + 0*w - 2*w + (1 + 2 - 1)*(w + 0*w - 2*w)). -12*w**3 Expand (-72*a + 71*a - 15 - 1)*(-a**3 + a**3 + 2*a**4). -2*a**5 - 32*a**4 Expand (-5*f + 6*f - 2*f)*((0*f + 3*f - 4*f)*(0*f - f + 2*f) + 3*f**2 - f**2 - 4*f**2) + (-4*f**2 + 4*f**2 - 2*f**2)*(-3*f + 0*f + f) + 4*f + f**3 - 4*f. 8*f**3 Expand -f**2 - f**4 + f**2 + (3*f + 0*f - 2*f)*(4 - 4 + f**3) + 0*f**4 - 3*f**4 + 4*f**4 + (f - f + 2*f**2)*(2*f**2 - f + f). 5*f**4 Expand (-3*q**2 + 2*q**2 - q**2)*(64 - 64 + 11*q)*(q - q + q**2). -22*q**5 Expand (0 - 3 + 2)*((0 + 3 - 2)*(1 + 0 + 1) - 3 - 2 + 4)*(2*j + j + 0*j). -3*j Expand u**2 - u**2 + 2*u**4 + (3*u - u + 0*u)*(-4*u**3 + u**3 + 5*u**3) + 5*u**4 + 6*u**3 - 6*u**3 - u**4 + 2*u**4 + 0*u**4 - 4*u**2 + 2*u**4 + 4*u**2. 14*u**4 Expand ((0 + 4 - 2)*(3*z - 5*z + 0*z) - 4*z - 12*z + 5*z)*(-z**4 - 3*z**4 + 3*z**4). 15*z**5 Expand -l + 2*l**3 + l + (-2 - 2*l**2 + 2)*(l - 4*l + l) - 2*l**2 + 2*l**2 + l**3 + (-l + 0*l - l)*(-1 + 3*l**2 + 1). l**3 Expand -y**2 + 2*y**5 + y**2 + (y + 3 - 3)*(-2*y**4 - 3*y**4 + 2*y**4) - 2*y**5 + 2*y**5 - y**5. -2*y**5 Expand 2*h**4 - 3*h**2 + 4*h**2 - 2*h**2 + 6*h**4 - h**4 - 4*h**4 + (-h**3 - h**3 - h**3)*(3 - 3 - 2*h). 9*h**4 - h**2 Expand 1 + 2*z**2 - 1 + (3*z - z - 4*z)*(-4*z + 6*z + 3*z). -8*z**2 Expand (149 - 149 + 30*p**2)*(-1 + 0 + 2). 30*p**2 Expand (7 - 6 + 0 + (0 - 1 - 1)*(0 - 3 + 2))*(u - 2*u + 0*u). -3*u Expand (i**2 + 1 - 16*i + 18*i + 2)*(2*i**2 + 2*i**2 - 5*i**2). -i**4 - 2*i**3 - 3*i**2 Expand (2*l**3 - 2*l**2 + 2*l**2)*(34 + 28 - 21). 82*l**3 Expand -2*k - 2 + 2 - 3*k + 4*k - 2*k + 0*k + 0*k + k + (0*k + 2*k - 3*k)*(-3 + 3 + 2) - 2 + 2 - 2*k + k - 5*k + 2*k. -8*k Expand 0*u + 3*u - 16*u + (-1 + 0 + 3)*(-2 + 2 + 2*u). -9*u Expand (11*u**2 + 7*u**2 - 7*u**2)*(-3 - u**2 + 3). -11*u**4 Expand (5 + r - 5)*(-2*r - 2*r + 6*r + (-2 + 0 + 1)*(-r - 2*r + r) - 3*r + 5*r - r). 5*r**2 Expand (3*o**2 - o + o)*(o - o - o) - 1 + 1 + 2*o**3 + (2*o**2 - o + o)*(2*o - 8*o - o). -15*o**3 Expand (0 + 0 + 1)*(2*j - 3*j + 3*j + (1 - 1 - 2*j)*(-5 - 6 + 5))*(0*j**4 - j**4 + 2*j**4). 14*j**5 Expand 2*m**3 - m**3 - 2*m**3 + (-3*m**2 + 2*m**2 + 2*m**2)*(3*m + 2 - 2). 2*m**3 Expand -71 - 3*u**4 + 3*u**2 + 71 - u**4 + 3*u - 3*u + (-2 + 0 + 3)*(-u**4 + 3 - 3). -5*u**4 + 3*u**2 Expand (-3 + 2 + 3)*(3 + 1 - 10)*(-2*q - q + 4*q). -12*q Expand (1 + 2 - 2)*(1 - 1 + 2)*(-2 + 0 + 1)*(7 - 2*i - 7). 4*i Expand (-5 - 4 - 1)*((0 + 0 - 2)*(-2*g + 2*g - 2*g) - 2*g - g + 4*g). -50*g Expand 0*d**5 + 8*d**5 - d**5 + (-3*d**3 + 2*d**3 + 2*d**3)*(55*d - 55*d - 3*d**2). 4*d**5 Expand (2 + 9 + 0)*(-3*s + 4*s + 0*s)*(-3*s**4 + 4*s**4 - 3*s**4). -22*s**5 Expand 3*m**4 - 4*m**4 + 3*m**4 + 2*m + 11*m**4 - 2*m - m**4 + 0*m**2 + 0*m**2 + (1 + 2*m**3 - 1)*(3*m - 2*m + m) - m**4 + 4*m**4 - 5*m**4. 14*m**4 Expand d**3 - 3*d**3 + d**3 + 3 - 2*d**3 - 3 + (-2*d + 0*d + 0*d)*(-4*d**2 - 2*d**2 + 2*d**2). 5*d**3 Expand (-3*l + 5*l + 7*l)*(6 - 3 - 5)*(2*l - 1 + 4 - l). -18*l**2 - 54*l Expand (1 - 3 + 3)*(0 + 0 + 2*r) - 2 - r + 2 - 15 + 2*r + 15. 3*r Expand (4 - 4 - u**2)*(4 - 1 + 0) + 9*u**2 - 16*u**2 - 2*u**2 + 4*u**2 - 2*u**2 - 4*u**2. -14*u**2 Expand (3*i - 3*i - 2*i + (0 - 3 + 2)*(0*i + 0*i + i) + 2*i + 6*i - 4*i)*(i**3 + i**3 + 3*i**3). 5*i**4 Expand (-1 - 1 - 1)*(-1 + 1 + 5*p + (-1 - 2 + 4)*(2*p - 5*p + 2*p)). -12*p Expand (1 - 2*z - 1)*(-2 + 3 + 2) + 2*z + 3*z - z. -2*z Expand (-11 + 4 - 5)*(2*p - 5*p + p). 24*p Expand (2 + 0*n**2 + 4*n**2 - 6*n**2)*(-4*n**3 + 8 - 8). 8*n**5 - 8*n**3 Expand (4 + 1 - 4)*(0 + 2*f - 1 - 4*f). -2*f - 1 Expand (-1 - 1 + 1)*(-1 + 3*q + 1) + 13 - 2*q - 13. -5*q Expand -2*k + 2*k - 3*k + (1 - 2 + 2)*(-3 + 3 + 2*k) + 3*k + 1 - 1. 2*k Expand (1 + w + 0*w - 3*w)*(1 + 7 - 10). 4*w - 2 Expand 4*c - 3*c - 2*c - 10*c - 2*c + 0*c + (-2*c - c + 5*c)*(-2 - 5 + 5). -17*c Expand (b**4 - 6*b**4 + 4*b**4)*(-4 + 2 + 1 + b). -b**5 + b**4 Expand (-1 + 3 + 0 + 4 - 4 + 1 + (-1 + 0 + 3)*(-3 - 2 + 4))*(5*d - 2 + 2)*(-d - 3*d - 3*d). -35*d**2 Expand (-3 + 3 - 3*v**2)*(4*v + v - 3*v) + 2*v**2 - 2*v**3 - 2*v**2 + (1 - 5 + 5)*(-3*v**3 + 2*v**3 + 2*v**3). -7*v**3 Expand (2 - 1 - 3*l + l)*(-3*l + 2*l + 9*l). -16*l**2 + 8*l Expand (-2*a + 7*a + 3*a)*(0 + 0 - 2*a**2)*(3 - 1 - 4)*(3 - 10*a - 3). -320*a**4 Expand -18*s**5 + 126*s - 126*s + (-s**2 - s**4 + s**2)*(4 - s - 4). -17*s**5 Expand (3*k + 1 - 1)*(-23 + 21 - 45) - 2 + 1 - k + 2. -142*k + 1 Expand -1 + 7*y**4 - 5*y**4 - 1 + 0*y**4 + 3*y**4 - 4*y**4 + (y**3 - y**3 + 2*y**3)*(3*y - 4*y - y). -3*y**4 - 2 Expand (5*x + 8 - 10 + 6*x**2 - 3*x)*(-x + 3*x - 5*x). -18*x**3 - 6*x**2 + 6*x Expand (-g**3 - 8*g**3 + 3*g**3)*(3 - 2 + 0). -6*g**3 Expand 0*c - 3*c + 0*c + (1 - c - 1)*(1 - 2 + 3) - 4*c + 5*c - 2*c. -6*c Expand (2 + 2*q - 2)*(-2 + 5 - 2)*(-3*q - 3*q + 7*q + (0*q + q - 3*q)*(-1 + 3 - 4)). 10*q**2 Expand 0 - 2*p**2 + 0 + (-p + 4 - 4)*(-3*p - 3*p + 3*p). p**2 Expand (2*p**3 + p**3 - 2*p**3)*(2*p - 3*p - 2*p) + (0*p + 0*p + 2*p)*(-p**3 - 2*p**2 + 2*p**2) - 2*p**4 + 2*p**3 - 2*p**3. -7*p**4 Expand (-4*w**2 + 2*w**2 + w**2 + (5 - 5 + 2*w)*(w + 0*w + 0*w))*(2*w**3 - 2*w**3 + 2*w**3). 2*w**5 Expand (-1 + 1 - 1)*(-2*x - x + 4*x) - 5 + 5 - x + 3*x - 2 + 2 + x - 4*x + 4*x. 2*x Expand -2*j - j**3 + 2*j + (5*j**3 - 5 + 5)*(4 - 5 + 4). 14*j**3 Expand (-16 + 19 + 2*h - 6*h**3 - 5*h + h**5)*(-1 - 3 + 6). 2*h**5 - 12*h**3 - 6*h + 6 Expand -2*x**5 + 5 - 5 + (2*x**2 - 4*x**2 + x**2)*(0*x**3 + 3*x**3 - 2*x**3). -3*x**5 Expand (1 + 2*y - 1)*(2*y**2 + 5*y**2 + 3*y**2). 20*y**3 Expand -f + 4*f - f - 3*f + 0*f - f - 1 + 1 + 4*f + (3*f + f - 6*f)*(-1 - 6 + 5). 6*f Expand 5*k**2 - k**4 - 5*k**2 + (-4 + 5 + 0)*(2*k**2 - 2*k**2 - k**4) - 8 - 11*k**4 + 8. -13*k**4 Expand (0*g + 0*g - 2*g)*(-g - 5*g + 4*g)*(2 + 0 + 2)*(2 + 2*g**2 - 2). 32*g**4 Expand -4*j**3 + j**3 + 2*j**3 + j**3 - 3*j**3 - 2*j**3 + 3*j**3 - j**3 - 4*j**3 + (-2*j**3 - j + j)*(5 + 1 - 4). -11*j**3 Expand 0 + 0 + 2*p + p + 3*p - 5*p + (-10*p + 4*p - 14*p)*(4 - 3 - 2). 21*p Expand (h + h - 6*h)*(-6*h**2 - 8 + 8) - 2*h**3 - h**3 + 0*h**3 + (2 - 2*h**2 - 2)*(-h - 3*h + 6*h). 17*h**3 Expand (-17 + 17 - z**3 + (2 - 3 - 1)*(0*z**3 - z**3 + 2*z**3))*(-4 + 1 + 2). 3*z**3 Expand (1 - 1 - t)*(-1 + 2 - 3)*(11 + 21 - 12). 40*t Expand (d**2 - 4*d**2 + d**2)*(0*d + 3*d - d) - 5*d**3 + 3*d**3 + d**3 + (3*d**2 + 2*d**2 - 2*d**2)*(0*d + 0*d - d). -8*d**3 Expand (-x + 2*x + 0*x)*(-1 + 4 + 0)*(-1 + 3 - 1). 3*x Expand (2 - g - 2)*(g - 4*g + g) - g + g - g**2 + 4*g**2 - 4*g**2 + 2*g**2 + 0*g + 0*g + g**2 - 17*g**2 - 4 - 14 + 20. -13*g**2 + 2 Expand -4*t + 5*t - 3*t + (0*t - t - 2*t)*(-1 + 0 + 0) + 3*t + 4*t - t + 2*t - 4*t + 3*t. 8*t Expand -5*l**5 + l**5 + 0*l**5 + (-4 + 0 + 2)*(2*l**3 - 2*l**3 + l**5) + (-l**5 + 0*l**3 + 0*l**3)*(-2 - 6 + 3). -l**5 Expand (7*q - 5*q**2 - 7*q)*(-2 + 3 - 3). 10*q**2 Expand 2 - 2 + s**2 + (-4*s + 5*s - 3*s)*(-5 + 5 + 2*s + (0 - 2 + 0)*(2*s - s - 2*s) + 0*s + 0*s - s). -5*s**2 Expand (1 - 8 - 3)*(-4*x**2 - 3*x**2 + 3*x**2). 40*x**2 Expand (-30*c - 3*c**4 + 30*c)*(2 - 1 - 2)*(3 + 3 - 4). 6*c**4 Expand (-v + v + v)*(3*v + 4*v - v)*(-2 + 2*v + 2). 12*v**3 Expand (-1 - 5 + 4)*(m**4 + 0*m**4 + 0*m**4) - 36*m**4 - 849 + 849. -38*m**4 Expand 6*v**2 - v**2 - 8*v**2 + (-4*v + 4*v - v)*(v + v + 0*v) - v**2 - v**2 + 0*v**2 + (-3*v**2 - 3*v**2 + 4*v**2)*(4 - 1 - 2). -9*v**2 Expand (3 + 1 - 1)*(-3 - 8 - 2)*(u - 4*u - u). 156*u Expand (-2*a - 2*a + 2*a)*(5*a**3 - 5*a**3 + 3*a**3) + 16*a - 16*a + 7*a**4. a**4 Expand (-i**2 + 7*i**2 - 4*i**2)*(4*i - 5*i - i) - 5 + 5 - 36*i**3 + (-i**2 + 0*i + 0*i)*(-4 + 4 + 2*i) + 0*i**2 + 0*i**2 - i**3. -43*i**3 Expand (u + 1 - 1)*(-u**2 + 2*u - 2*u) + 4 + 5 + 6*u**3 - 6. 5*u**3 + 3 Expand (-3*c + 2*c - c)*(-5 + 2*c + 5) + 15 + 11*c**2 - 15 + (-2*c + c + 3*c)*(-4*c - c + 3*c) + 5*c**2 - 2*c**2 + 0*c**2. 6*c**2 Expand (1 + 3
{ "pile_set_name": "DM Mathematics" }
+ (-2*u + 6*u - 3*u)*(2*u - u - 3*u) to b + o*u + f*u**2 and give b. -16 Rearrange (-3 + 3 + 2*o)*(-2*o + 4*o - 3*o)*(2 - 4 - 29*o**2 - 75*o**2) to the form m*o**2 + g*o**4 + u + v*o**3 + x*o and give g. 208 Express 8142*h**4 - 2 + h**2 - 9*h + 2 - 8172*h**4 + h as a*h**3 + v*h**2 + y*h**4 + w*h + g and give v. 1 Rearrange -445 - 4*x**2 - 6*x**2 + 38*x**2 - 13*x**2 - 13*x**2 to l*x**2 + q*x + f and give f. -445 Rearrange -2*m + 2*m**3 - 6667*m**2 + 3 - 4*m**4 + 6667*m**2 to g*m**3 + x + j*m**2 + b*m**4 + v*m and give x. 3 Express (-341*x**3 - 9185*x**2 + 9185*x**2)*(-5 + 3 - 1) as q*x**3 + f*x**2 + s*x + z and give s. 0 Rearrange (-141*h**2 + 27 + 139*h**2 + 24)*(-7*h**2 - 7*h**2 + 19*h**2) to the form n*h**2 + j + m*h**3 + f*h**4 + g*h and give n. 255 Rearrange -5*c + 0*c - c**2 + 3*c**3 - 4*c**3 - 6*c to the form a*c**3 + d*c + u + p*c**2 and give a. -1 Express 190*d - 5*d + 199*d as k*d + j and give k. 384 Express -4 - 300*a**2 - 2*a**3 - a**4 + 1 + 5 + 290*a**2 in the form t*a**4 + u*a**2 + z + y*a + j*a**3 and give t. -1 Express 38*o**2 - 2076*o**3 + 1 - 37*o**2 + 2077*o**3 in the form h*o**2 + u*o + r + s*o**3 and give u. 0 Express -4 + 9*a + 9 - 7*a**2 + 32*a**3 - 63*a**3 + 30*a**3 as o*a**2 + k + j*a + u*a**3 and give u. -1 Rearrange -43*a**2 - 4*a - 40*a**2 - 17 + 18 to the form v*a**2 + u*a + g and give g. 1 Rearrange 3*y**3 + 19*y**2 + 3*y**4 - 4*y**4 + 3*y + 14*y**2 - 4*y**3 + 3*y**3 to the form v*y**4 + k*y + w + o*y**2 + p*y**3 and give k. 3 Express (-6 - 6*h + 6)*(67 + 35 + 40) as r*h + l and give r. -852 Rearrange 20*p**2 - 2*p**3 + 2 - 5 - 22*p**2 + 1 to the form j*p + b*p**2 + l*p**3 + g and give b. -2 Rearrange -82 - 48 + 226 - 3*l**2 - 3*l**3 - 56 + 2*l**3 to the form x*l**2 + v*l**3 + c*l + h and give v. -1 Rearrange (o - 2*o**2 - o)*(618*o - 594*o - 3*o**2 - 13*o**2) to f*o + j + n*o**2 + y*o**3 + p*o**4 and give p. 32 Rearrange -659 - 13*u - 11*u + 40*u - 17*u + 263 to w*u + b and give b. -396 Express 6*s**4 - 2*s**4 - s**4 + (s**2 - 19*s**2 - 11*s**2)*(7*s**2 - 2*s**2 + 3*s**2) in the form y + t*s**4 + u*s**2 + v*s**3 + l*s and give t. -229 Rearrange 20 + 13 + 21 - 62*h - 55 to n + d*h and give d. -62 Rearrange (-56*a + 11*a + 154*a + 1)*(3 - 2*a - 3 - a + 2*a - 2*a + (-3 + 4 - 2)*(-2 + 3*a + 2))*(-a - a + a) to i + j*a**3 + f*a**2 + g*a and give j. 654 Express ((0 - 2*r + 0)*(1 + 3 - 3) + (-4 + 2 + 7)*(5*r - 5*r + 13*r))*(3 + 1 - 6)*(r + r - r) as x + d*r + n*r**2 and give n. -126 Rearrange -6 + 3 - 17*t - 38*t + 0*t**2 + 2*t**2 + 1 to the form s*t**2 + n*t + r and give s. 2 Rearrange (-1 + 0 - 2)*(-11*h + 28 - 47 + 9) to the form v*h + q and give q. 30 Rearrange -13*g + 3 + 17*g + 4*g**2 - 4 - g**3 to x*g**2 + k + i*g**3 + a*g and give i. -1 Rearrange (12 - 12 - 6*k)*(-20 + k + k + 15) to q*k + z + u*k**2 and give q. 30 Express 1 - 3*g**3 + 1 - 6346*g + 6342*g in the form w*g + a*g**2 + i*g**3 + j and give i. -3 Express (-2*z - 3 + 3)*(0*z**2 + 2*z**2 + 0*z**2) - 323*z**3 - 61959*z**2 + 61959*z**2 in the form b*z**3 + n*z + h + r*z**2 and give b. -327 Rearrange -6 + 15*q**2 + 2 + 1 - 25*q**2 - 51*q**3 + 11*q**2 to m*q**3 + u*q**2 + k + c*q and give u. 1 Express (-3*d + d + 10*d)*(-3 + 3 + 2*d) + (14*d + 5 - 5)*(-d + 0 + 0) as p*d + l*d**2 + s and give l. 2 Express 153*m**2 + 1 + 2*m**3 - 3 - 153*m**2 + 3*m in the form d + v*m + t*m**2 + r*m**3 and give v. 3 Express (1 + 4 - 4)*(2 - 1 + 0)*((2 + 2 + 6)*(-2 + 0 + 4) - 2 - 4 - 2)*(a - 6*a + 2*a) in the form y*a + j and give y. -36 Express -5 + 309*x**2 - 20 - 1013*x**2 + 25 in the form m*x**2 + r + l*x and give m. -704 Express (-6*o - 4*o + 4*o)*(-44*o + 44*o + 68*o**3) - 3 - o**4 + 3 in the form m*o + z*o**2 + t*o**3 + u + s*o**4 and give s. -409 Express 2*y**4 + 98 - 2*y**3 + 0*y**2 - 103 - 3*y**2 in the form t*y + m*y**4 + s*y**3 + a + v*y**2 and give v. -3 Express -2*f**4 - f**2 - 5*f**3 + 74*f**3 - 115*f**3 + 1 in the form r*f**2 + c + u*f + o*f**3 + y*f**4 and give y. -2 Express -143*n**2 - 147*n**2 + 26*n**2 in the form c*n + h*n**2 + f and give h. -264 Express -667*f**3 + f**2 + 4 + 7*f - 5*f + f**4 + 665*f**3 as j*f + g*f**2 + c + h*f**3 + o*f**4 and give o. 1 Express 384*n - 210*n**2 - 384*n in the form m*n + f + l*n**2 and give l. -210 Rearrange (-45 - 456 - 302)*(-3*f**2 + 1 - 1) to m + k*f + j*f**2 and give j. 2409 Rearrange -160*f**3 + 101*f**3 + 2*f - 137*f**3 to the form z*f + b*f**3 + q + l*f**2 and give z. 2 Express (0 + 4 - 5)*((0 - 4 + 6)*(-3*s + s + 5*s) - 3*s - s + 2*s) in the form h + l*s and give l. -4 Express 2*q + 2 + 0 - 41*q**4 + 45*q**4 - 6*q**3 - 3*q**3 as a + d*q + k*q**4 + y*q**3 + h*q**2 and give k. 4 Rearrange -11197*k + 465*k**3 + 11194*k - 394*k**3 + (0*k + 0*k + k**2)*(k - k - k) to the form i + m*k**2 + b*k**3 + g*k and give g. -3 Express -233*h + 28*h - 114*h - 291*h - 21*h as x*h + f and give x. -631 Express 1 - 8*g + 139*g**2 - 2*g**3 - 279*g**2 + 148*g**2 as j*g + z*g**2 + l*g**3 + f and give l. -2 Rearrange 234*o - 475*o - 57*o to s*o + z and give s. -298 Rearrange (2*m + 3*m - 4*m)*(4*m**3 + 3 - 3) - m**2 - 3*m**4 + m**4 - 5*m**2 to the form x*m**3 + t*m**2 + c*m**4 + n*m + u and give c. 2 Express -12*i - i**3 + 17*i - 4*i - 2 + 46*i**2 + 1 as q*i**3 + y + a*i**2 + b*i and give y. -1 Express (2 + 0*k + 3*k - 2)*(4*k**2 + 8*k**2 - 3*k**2)*(-4 - k + 4) as y + r*k + z*k**3 + x*k**2 + s*k**4 and give s. -27 Rearrange -4 - y + 15*y**4 - y**3 + 4 - 7*y**2 + 8*y**2 to the form a*y**4 + s*y**3 + c*y + l*y**2 + b and give a. 15 Express -204*q + 204*q + 203*q in the form l*q + f and give f. 0 Rearrange 2*k - 14*k + 7*k - 27*k + 12 + 3 to the form l*k + b and give b. 15 Express 677*u**2 - 3 - 279*u**2 - 269*u**2 - 239*u**2 in the form i + b*u**2 + x*u and give i. -3 Rearrange (1 + 0 - 3)*(-581 + 93 + 40)*(3 - 1 - 3)*(-t + 2 - 2) to v + g*t and give g. 896 Express -j**4 - 5*j**4 + 3*j**4 + (-3*j - j - 3*j)*(-23*j**3 + 26*j**3 + 81*j**3) as x*j**2 + b*j**3 + r*j + i + m*j**4 and give m. -591 Rearrange (5*s - 8*s + 11*s)*(-43*s + 25*s + 97*s + 68*s) to the form n*s**2 + w + g*s and give n. 1176 Rearrange (-27*b - 17*b + 23*b)*(-8 - b + 2 + 4) to the form h*b + x + t*b**2 and give t. 21 Express (-7 + 3 - 17)*(5*a + 7*a + 7*a) in the form p + v*a and give v. -399 Rearrange -133*b**2 - 177 + 66*b**2 + 68*b**2 - 124 to the form l + m*b**2 + p*b and give m. 1 Rearrange -214*p**2 + 20 + 216*p**2 + 17 to x + s*p**2 + k*p and give x. 37 Express 53*f + 57*f - 108*f - 3*f**2 + (-4*f + 5*f + 5*f)*(2*f + 0*f - f) as u*f**2 + k*f + w and give k. 2 Rearrange 43 + 42 - 2*q**3 - 2*q - 2*q**2 - q**2 - 128 + 41 to the form m*q**2 + c*q**3 + j + l*q and give c. -2 Rearrange -11*d + 51 - 134 + 69 to s*d + g and give s. -11 Express (4*l - 2*l + 0*l)*(-84*l + 107*l + 65 - 27) as s*l + u + d*l**2 and give s. 76 Express -5*j - 54*j**3 - 13*j**3 + 2 + 4*j in the form v*j + h*j**3 + r + b*j**2 and give r. 2 Rearrange 2*v**2 + 5078 - v - 4*v**2 - 2*v**4 - 5072 to the form z*v**3 + c + i*v**2 + j*v + a*v**4 and give c. 6 Rearrange (-33*d**4 - 2*d**3 + 0*d**3 - 67*d**4 - 114*d**4)*(3 + 3 - 3) to n*d**3 + h + x*d**4 + c*d + j*d**2 and give x. -642 Express -442*i**2 - 105*i**3 + 218*i**2 + 225*i**2 + 1 + (-i**3 - 2*i**3 + 5*i**3)*(-2 + 4 + 0) as k + l*i + m*i**2 + f*i**3 and give k. 1 Rearrange -3 + 3*i + 3 - 2*i + 6*i - 3*i + (-3 + 1 + 0)*(i + 1 - 1) - i + 1 - 1 + 3*i + 2*i - 4*i + (-2 - 1 - 3*i + 0)*(-18 + 15 + 14) to m*i + v and give m. -31 Rearrange 3 + 312*f**3 + 6*f - 310*f**3 + 3*f**2 - 2*f - 4 to q*f**2 + s*f**3 + u + v*f and give s. 2 Express 10 - 19 + 124*c + 7 + (-4*c - 4*c + 6*c)*(5 - 3 - 1) in the form b*c + x and give x. -2 Rearrange 2*y**2 + 526*y**3 + 35 + 2*y + 554*y**3 - 1082*y**3 to d*y + l + s*y**2 + i*y**3 and give l. 35 Rearrange (3*h - h - 4*h)*(1798349 - 867*h - 1798349) to the form u*h**2 + t + o*h and give u. 1734 Express 43*c + 92*c - 3*c**2 - 95*c as z + m*c**2 + b*c and give m. -3 Express -80 - 78 + 5*k**2 - k**3 + 2*k + 152 as z*k**3 + p*k + j*k**2 + c and give z. -1 Express (4 - 4 - 1)*(5*f - 5*f + f) - 7*f + 1 - 1 + 13*f - 3*f + 0*f in the form z*f + u and give z. 2 Rearrange 14*q + 17 + 28 - 44 to i + f*q and give f. 14 Rearrange -p + 3*p**4 - 9 - 152*p**3 + 11 + 147*p**3 to the form r + d*p + b*p**4 + l*p**2 + z*p**3 and give z. -5 R
{ "pile_set_name": "DM Mathematics" }
te? True Suppose -2*l + 2*m = -3694, 2*l = 7*l + 4*m - 9271. Is l prime? False Let p be 1/((-21)/6 + 3). Let a be (-691)/2*4/p. Suppose -4*o + a = -201. Is o a prime number? True Suppose 4*h = 2*i - 82, 3*i = h - 2*h + 109. Let r(p) = 3 - i*p + 3 - 1 - 4. Is r(-4) a prime number? True Suppose -3*w + 1089 = -0*w. Suppose -4*m - 23 = -w. Is m prime? False Let h(n) = 333*n + 2. Is h(1) a composite number? True Let q(c) = -c**3 + 5*c**2 + 3*c + 2. Let b be q(6). Let v be b*(2 - (-5)/(-4)). Let t = -3 - v. Is t composite? True Is 2 + 94 - (3 - 4) composite? False Suppose -6*k + 2*k + 10 = 2*i, -k - 5*i = 11. Let l(a) = -a + 7. Let h be l(5). Suppose k*o - h*t = 212, t - 5*t + 265 = 5*o. Is o composite? False Let z be 1 + 4 + -2 + 2. Suppose -2*j + z*y = -99, 2*j = 4*j - 2*y - 84. Is j a prime number? True Suppose -27 = -r - 5. Is r a prime number? False Let z(f) = 13*f**3 + f**2 + f - 1. Let r = -10 - -7. Let q be 9/r*(-3)/9. Is z(q) a composite number? True Suppose -3*r - 10 = -8*r. Let h(v) = 2*v**3 - 3*v**2 - v**2 - 1 + 2*v**r. Is h(2) a composite number? False Suppose -4*u + 8877 = -3*c, 5*u = -2*c + u - 5938. Let t = -1708 - c. Is t a prime number? False Let t be (4 - 0)/(-4) - -654. Suppose -532 = -3*j + t. Is j a composite number? True Let y = -12 + -10. Let u = 25 - y. Is u prime? True Suppose -4*b - 4 = 0, -q = 3*q + 3*b + 3. Suppose 0 = -q*a + 2*a - 134. Is a a composite number? False Suppose 0 = 5*n - 2*g - 1895, 0 = n + 4*n + 2*g - 1895. Is n a prime number? True Suppose -3 + 9 = -2*t. Let m(z) = z**2 - z - 2. Is m(t) a composite number? True Let x(h) = 4*h - 12. Let q be x(4). Let j be (5/4)/(1/4). Suppose q*t - u + 3*u = 156, j*u = -2*t + 86. Is t prime? False Let n be 40/(-18) - 2/(-9). Let h = 17 - n. Is h composite? False Let b(u) be the first derivative of u**4/2 + u**2 + 4*u - 2. Let w be b(3). Suppose -4*g - w = -4*o, g + 4*g = 2*o - 35. Is o composite? True Let k(j) = -41*j**3 + 2*j**2 + 3*j + 1. Let q be k(-2). Suppose 4*w - q - 145 = 0. Is w a composite number? True Let z(m) = 5*m**2 - 8*m - 10. Let c(t) = 15*t**2 - 24*t - 29. Let i(b) = 4*c(b) - 11*z(b). Is i(-5) composite? True Is (-3 - -8)*395/25 prime? True Suppose g - 466 = -3*a + 2*a, 5*a = 3*g - 1406. Is g a composite number? False Let g = 1 - -3. Is (-4)/(g/(-79))*1 a prime number? True Suppose 5*m - 7 = 2*d, -3 = -3*m - 3*d + 18. Suppose m*r + r + 5*n = 100, 0 = -3*n. Is r a prime number? False Suppose 8*u - 13*u + 295 = 0. Is u a prime number? True Let j be 62/2*(-12)/6. Let u = j - 149. Is 2/8 - u/4 a prime number? True Suppose f - 635 = -4*a, -f = 2*f + 3*a - 1896. Is f a composite number? False Let s = -10 + 10. Suppose s = -3*p - 798 + 3459. Is p prime? True Suppose z + 5*r - 465 = 0, -3*z = -0*r - 2*r - 1327. Is z prime? False Suppose 0 = -0*d + 2*d - 62. Let c(t) = -t**3 + 7*t**2 + 8. Let i be c(6). Let j = i - d. Is j a composite number? False Suppose 6*k - 413 = 79. Is k composite? True Let i be (-30)/9 - (-2)/6. Is (-2)/6 - 346/i a composite number? True Let c = 1936 + 425. Is c prime? False Let v be 2/(-8) + (-89)/(-4). Is 1 + v + 1 + -2 composite? True Let h(m) = m**3 + 7*m**2 - 9*m - 4. Let j be h(-8). Suppose -j*a + 3*a + 70 = -4*v, 5*a = 4*v + 270. Suppose 5*s - 25 = a. Is s a prime number? False Is (97/4)/(4*2/224) composite? True Let z(m) = -8*m + 1. Let x be z(-1). Suppose -2*f + x = 5*l, 3*l - f = l + 9. Is l a composite number? False Suppose 3*p = -l - 6, 20 + 6 = -2*l + p. Let f be 1/1 + l/2. Is 6/15 - 183/f a composite number? False Let v(s) = -s + 1. Suppose 0 = 3*q + 2*o - 8, 2*o = o - 5. Let i be v(q). Let w(k) = 3*k**2 - k + 5. Is w(i) composite? True Let w(s) = 23*s**2 + s - 1. Let t = -11 - -8. Is w(t) composite? True Suppose q - 2*z = 625, -1703 = -5*q + 5*z + 1442. Is q a prime number? False Let b = 11 - -4. Let k = b - -100. Is k prime? False Suppose 5*x = -222 - 103. Let b be x/(-20) - 1/4. Is (1/(-2))/(b/(-60)) a composite number? True Let o(z) = -z**3 - 3*z**2 + 7*z - 6. Let x(w) = -3*w + 2. Let s be x(3). Is o(s) prime? False Let o be 34/(-3) - 1/(-3). Let j = o + 16. Let q(w) = 16*w + 5. Is q(j) a prime number? False Suppose -5*a = -3*a + f + 3, -2*f - 6 = 0. Is (a + -1 + 34)/1 a prime number? False Let i(p) = -p**2 - 10*p + 7. Let b = 9 + -15. Is i(b) prime? True Suppose 0 = 5*w + 5*b - 50, -5*b - 46 = -4*w + w. Let d = -1 - 0. Is (6/w)/(d/(-26)) prime? True Suppose -5*k - 4*c = -0*k - 2253, 0 = -k + 4*c + 441. Is k prime? True Let s = -10 + 18. Let y = s + 27. Is y a composite number? True Suppose w - 6*w = 30. Let b be w*2*(-3)/6. Is (-76)/b*(-12)/4 composite? True Let b = -7 - -4. Let n = b + 8. Suppose -n*u - 5*h + 3 = -2, 0 = 3*u - 2*h - 28. Is u a prime number? False Let w(s) = s**3 + 5*s**2 - 7*s - 2. Let o be w(-6). Suppose -5*r - o*m = m - 4420, -5*r = 2*m - 4435. Is r composite? True Suppose 6 = 2*s - 4*s - 4*x, 0 = 3*s - 3*x - 9. Is 90 + -2*s/(-2) prime? False Let c = -6 - -13. Let z = -2 + c. Suppose 2*w - 108 = -w - z*x, x = -3*w + 96. Is w prime? True Let g(n) = 3*n. Let p be g(-11). Let l = -22 - p. Is l prime? True Let u(n) = n - 4. Let h be u(6). Let z(t) be the second derivative of t**4/2 - t**2 - t. Is z(h) a prime number? False Is (238/4)/(5/10) a composite number? True Let z(l) = -l**3 - 4*l**2 - 5*l - 2. Let y be z(-3). Suppose y*w - w - 63 = 0. Is 6/(-8)*(1 - w) a composite number? True Suppose 3*r - 16 = -121. Is (-4155)/r + (-2)/(-7) prime? False Suppose -i + 1464 = 3*i. Suppose -4*x + 9*x - 644 = -3*c, -3*x + 5*c + i = 0. Is x a prime number? True Let y(v) = -v**2 - 6*v - 6. Let n be y(-4). Suppose b = n*t + t - 16, 0 = 5*b + 5*t - 20. Is b/(-5) + (-87)/(-15) a prime number? False Suppose -34 = n + 51. Let i = n - -123. Is i a composite number? True Suppose 0 = -8*q + 3*q + 715. Is q composite? True Let w = 80 + -122. Let q = w - -82. Suppose 2*y - 2*m = q, 3*y + m = -2*m + 78. Is y a prime number? True Suppose -4*a + 0*a = -44. Suppose -4*w - g + a + 6 = 0, -3*w = -3*g - 9. Suppose -w*h + 8 = -4. Is h a prime number? True Let o be ((2 - 4) + 7)/1. Is ((-2)/(-6))/(o/1785) a prime number? False Suppose -6 = -2*y, 5*y = -4*g + 4*y + 143. Is g a composite number? True Suppose 4*w - 10 = -w. Suppose 2*y + 4 = 6. Is (2 + 10)*y - w a prime number? False Let y be 3/(-2)*(-10)/3. Suppose 0 = y*j - 351 - 19. Is j a prime number? False Suppose b + 1178 = 2*l + 5*b, -5*l + 2893 = -3*b. Is l prime? False Suppose 2844 + 3632 = 4*i - 4*h, -3*h = 12. Suppose -969 = -3*r + 4*p, 5*r - i = 3*p - 8*p. Is r a prime number? False Let c(y) = -30*y + 7*y - 6*y + 5. Is c(-6) composite? False Suppose -5*a + 5 = 10. Is (-54 - 1)/1*a a prime number? False Let n(b) = 2*b**3 - 4*b**2 + 2. Let f be n(2). Is -1 - (4*-133 - f) prime? False Let m = 150 - 53. Is m composite? False Suppose 0 = 9*t - 7*t. Suppose -p - 4*p = t, -p + 141 = 3*b. Is b composite? False Let o(j) = -10*j + 9 - 15 - 3*j + 0*j. Let l be (4/3)/(1/(-3)). Is o(l) prime? False Let c = -300 - -2039. Is c a composite number? True Is 449 + 4/(-8)*-4 a composite number? True Suppose k - 3 = -j - 3*j, -j = 4*k + 18. Let b(x) = -7*x - x**3 - 4 - 2 + 5 + 10*x**j. Is b(5) a prime number? True Let z be 1/((7/2)/7). Is 3810/18 - z/3 composite? False Let q = -52 + 62. Is q a composite number? True Let c = -13 + 2. Let z = 37 + c. Suppose m + 5*q = 2*q + z, 8 = 2*m - 5*q. Is m composite? True Let g(u) = 104*u**2 - 5*u - 4. Let d be g(-3). Let h = d - 504. Is h a composite number? False Let p = 0 - -81. Suppose -t - v + p = 0, 2*t + v - 318 = -2*t. Is t prime? True Let t = -149 - -6436. Is t a composite number? False Suppose -6 = -3*u - 0*u. Let i = 6 - u. Suppose 3*x + v - 42 = -0*v, -i*x + v + 49 = 0. Is x a prime number? True Let b(h) = -h**3 - 5*h + 3*h + 6*h**2 + 0*h**2 - 4. Let l(o) = -o**3 + 9*o**2 + 2*o - 13. Let m be l(9). Is b(m) a prime number? True Let h(q) = -2*q**3 - 7*q**2 + 7*q + 8. Let o be h(-9). Suppose 4*w + 2*b = 836, -4*w = -3*b + b - o. Is w prime? False Suppose -4*u = 20, m + 0*u = 2*u - 562. Is (-2)/3 + m/(-12) a prime number? True Let k(y) = -3*y**3. Let h be ((-4)/(-6))/(4/(-6)). Let v be k(h). Suppose 2*w - 335 = -v*w. Is w prime? True Suppose -3*f + 2875 = 4*q, -q + 3*f = 2*f - 724. Is q prime? False Let s be (7 - 17) + 1 + 2. Let c = 14 - s. Is c a
{ "pile_set_name": "DM Mathematics" }
3278)/210 + 12. -7/15 Evaluate 43/(224460/(-6699)) - 8/(-6). 1/20 ((-14942)/(-2410)*(-1 + 2) - 5) + 588/10 60 Evaluate (100/(-14))/(30/11550*11*5). -50 Calculate 54/(-120)*(2080/(-728)*(-7)/(-2))/12. 3/8 585/(-975) - (18/35*8)/((-15)/10) 15/7 Calculate 60/18 + -6*735/270. -13 Calculate (-14)/((250/(-625))/(12/7)). 60 What is the value of (38/12)/((-584)/(-96) + -6)? 38 (27*24/4860)/((-2)/36) -12/5 Calculate 87/(28710/(-770))*(1 + 8). -21 Evaluate (-27)/((-985)/(-1970) + (-6 - (-1 - 0))). 6 What is the value of ((-166)/(-80) - 2) + 1812/151*2/30? 7/8 Calculate 2989/(-3150) + 1352/1521. -3/50 What is the value of (1/5)/(2717788/20435 - 133)? -61 Calculate ((-315)/10)/(-9)*(-17 + (-1204)/(-196)). -38 Calculate -3 + 52/24 - (3145/102)/(-37). 0 What is 74/(-11)*(3 - 17) - ((-92714)/1661 + 56)? 94 What is the value of ((-546)/(-364))/(5/(-60))? -18 What is (26/(-143) - 393/(-165))*(-5 - -4 - 4)? -11 What is the value of 0 - 5388/93 - 153/(-408)*(-32)/186? -58 Evaluate (408/60)/((-9*(-2)/21)/((-285)/266)). -17/2 What is ((-2)/(-15) - 4851/945) + ((-58734)/3926)/(-3)? -2/151 Calculate 81/(-9) - 11 - (45 + -53). -12 Calculate (55/(-572)*-13)/((-7)/(-70)). 25/2 What is the value of (2211/(-9045))/(-2 + 204/54 - 2)? 11/10 What is (-153)/(-21) - (-8 + 15) - ((-2299)/63 - -36)? 7/9 Calculate (-21)/(-22)*(-211068)/(-14391). 14 53/(-1272) + -34 + (-30634)/(-816) 7/2 Calculate 25 + (-153)/6 - (10/45 + 4750/(-6660)). -1/111 What is the value of (944/708)/((-38)/6)? -4/19 Evaluate (2/(-8) - 3983/84) + (589/(-57))/31. -48 Calculate -2 - 5 - ((0 - (-5 + 12)) + -1) - -61. 62 Evaluate ((-4906)/396)/(7/(-63)) - (-3)/(-6). 111 What is the value of (105 + 1)*(157 + -349)/384? -53 Evaluate 21*2/(-4)*(52/6 + (-608)/76). -7 What is the value of ((-1554)/42 - -36)/((-2)/52)? 26 42 + (-36 - 21) + -31 -46 (-255)/40*(-558)/(-837) -17/4 What is the value of (-628)/18 - (61/1098)/(1/2) - -2? -33 15/3 - (100/((-35000)/1330) - (-321)/(-5)) 73 Evaluate (0 - (-15)/(-18)) + -41 + 6665/150. 13/5 What is 0 - -56 - 19*703/361? 19 Calculate (-8)/(-2408)*(45 - (-37 + 75)). 1/43 Calculate (36 + 15 - 42 - (-12454)/(-1384))*8. 2/173 What is the value of (-34 - (-27 + 322/23 + 8))*-1? 29 What is the value of 8/(-420)*32368/1156? -8/15 Calculate 41 + 2338/(-21) - (-3 - (-42)/9). -72 Calculate (45/5 - (-9)/(-3))*147/98. 9 ((-1972)/(-3451))/((-1)/(644/(-8))) 46 What is the value of (91350/1602 + -57)*(12/4 - 4)? -2/89 Calculate 4*((-3 - (-5790)/(-696)) + (-16)/(-232)). -45 Calculate (2/3)/((858000/2002)/250). 7/18 What is 21*(-1885)/455 - -57? -30 What is -40*(511/56)/(-73)? 5 Evaluate -18 + -46*(-59)/(-118). -41 45/18*1632/(-680) -6 (-24*((-1003)/170 + 6))/(2/(-25)) 30 What is the value of -62 - (20/(-230) + (4/6)/((-1265)/(-3960)))? -64 Calculate -151 + (-16240)/(-116) - (98 + -5). -104 ((-11)/(-22))/((-3)/144*(15 - 16)) 24 Evaluate ((-4)/1 + 1079/415)*10. -14 Calculate 5 + -16 - (49/(980/216) - 6/(-5)). -23 Evaluate (-343)/(-51) + 26100/(-3915). 1/17 What is -3 - ((22 - -29)/17)/(1 + 12/(-9))? 6 Evaluate ((-3513)/(-14052))/(15/24*1/(-30)). -12 What is 189/21 - ((336/(-140))/(9/30) + -31)? 48 What is ((-1790)/537)/(10/36) - (-1 + 62 + 6)? -79 What is the value of (-4*(-26)/(-1300))/((63/385)/9)? -22/5 Evaluate ((-2)/4 - (-5115)/9570)/(5 - 4). 1/29 What is (41/12300*30 + 327/(-270))*48/(-20)? 8/3 What is the value of 0 - ((-243)/(-558) - 12*(-9)/(-216))? 2/31 What is 43 + (-68)/((-14688)/(-8760))? 22/9 Evaluate ((-24 - -12 - -4) + 8)/2*-1. 0 Calculate (-94)/96726*-52521 + -51. 2/49 Calculate 598/(-3120) - (441/(-72) - -6). -1/15 Evaluate ((-17290)/(-665))/(((-24)/(-16))/((-6)/8)). -13 What is the value of -17 - (290/108)/((-242)/1452)? -8/9 What is (-26575)/4875 + (-90)/(-1755)? -27/5 Calculate (-394)/(-24)*2 - (-272825)/233850. 34 Evaluate (-786)/(-252) - (-2095)/(-2514). 16/7 What is (572/(-77))/13 + (-8294)/406? -21 Calculate (-139 + 105 + (-394)/(-12))*27/(-21). 3/2 Calculate ((-5526)/(-3070))/(3/(-15)). -9 Calculate (-3*16/(-30))/(11 + 371/(-35)). 4 Evaluate (-42)/((-3990)/1045) + 8*-1*1. 3 What is the value of 6/((-14)/6 - -1 - ((-319802)/84)/53)? 4/47 What is ((-37)/5 - -3) + 15/(-2)*36/135? -32/5 6445/(-58005)*2/(176/87 + -2) -29/3 What is the value of 62/34 + 7/((-147)/87) + (-135)/(-63)? -3/17 What is 80 + -60 - 4*93/6? -42 What is (-1779)/11860 + 6189/60? 103 2955546/(-36639) + (1 + 0)*-6 - (-1)/(-3) -87 What is (1001/(-22) + 8)*(-52)/78? 25 What is the value of (-795)/8370 - ((-45)/(-3))/(-135)? 1/62 What is the value of 888/1406 + 2196/(-228)? -9 Evaluate 6/(-18) - 696/261. -3 (-2)/((-2014)/230 + 200/(-4600)) 5/22 Calculate ((-56)/(-6))/(((-32)/(-72)*1)/((-168)/(-126))). 28 Evaluate (245/(-45) + 3)*3 + 48/(-72). -8 Calculate 5712/(-280)*((-96)/(-18) + -2). -68 What is the value of 11*-1 + (-56 - -23 - -47) + -7? -4 What is (-39 - 851/(-46))*-2? 41 ((-38)/95)/((-36)/(-15)) - -5*82/1740 2/29 Calculate (-72)/(-240)*2*(-95)/18. -19/6 Evaluate (65 - 21866/290)/(-8). 13/10 Evaluate 2/27*201 + -369 + 164 + 193. 26/9 12 + 3402/(-70) + (-32)/80 -37 Calculate (-3)/((-765)/(-16099)) + 63. -2/15 What is (-220)/100 - (-8 + -6 + 8 + (-1182)/(-310))? -2/155 Evaluate ((-3)/9)/(336/(-360)) - 13/((-1547)/(-170)). -15/14 Evaluate -65*(-26)/(-65) + 11/(110/20) - -1. -23 Calculate (344/(-774))/((-1200)/324). 3/25 What is the value of (-945)/(-60) + -16 - (-5)/(-4)? -3/2 What is the value of 74469/2651*(-5)/105 + 10/7? 1/11 1476/23124 - 5628/(-188) 30 What is (-10)/(-5) - (-273)/(-147) - (3 - 1635/560)? 1/16 Evaluate 3179/66 - (14/35)/(108/45). 48 Evaluate (9/(-90))/((-24)/(-48)) - 4242/(-20510). 2/293 Calculate (-1 + (5 - 2))*-45*2/(-45). 4 What is 43181/(-348) - (-38)/(16872/37)? -124 (1 - 4)/(((-2)/9)/(81/((-18225)/50))) -3 What is the value of (266/532 - 1)/(4/62)? -31/4 What is the value of ((-3)/(-145))/(((-138)/(-552))/((-40)/(-32)))? 3/29 Evaluate (10608/(-7072))/((-45)/(-8)). -4/15 Evaluate (6 - 6) + 336/154. 24/11 45514/113785*(-70)/(-46) 14/23 Evaluate 28/15*(-18339)/85582. -2/5 What is ((-80)/(-28) - 3)/(1349/2698)? -2/7 Evaluate 11011/(-121) - ((65 + 7)/(-8) + -2). -80 What is the value of (1/(-8))/((-2840)/36352)*(-620)/(-16)? 62 What is (-24156)/(-302) + 606/45753? 80 ((-5)/38)/(-459 - -464) -1/38 Evaluate (-5 - 21) + 25 + 3 + 1 - 1056/(-22). 51 What is the value of (-44304)/(-66385)*33 - 22? 2/85 Evaluate (13 - 32) + (15 - (-8 + 24)) - -18. -2 (79 + 7047/(-174))/((-6)/(-4) - 2) -77 What is the value of (19244/(-60))/17 - (14/(-315))/(6/(-18))? -19 Calculate 12/((195/(-10) - -27)*4/70). 28 Evaluate (-20)/(-155)*64/105 - 15922/278635. 2/93 What is the value of 1 - (2 + 147/(-81))/(((-174)/(-36))/29)? -1/9 What is the value of (31340/1700 - 18) + (-376)/799? -3/85 Evaluate -56*(-35)/25480*(-52)/(-6). 2/3 669/65562 + 93/490 1/5 What is the value of 127/36957*(-12)/(-16)*4? 1/97 What is the value of (-272)/(-6)*(-11400)/(-16150) + 7/(21/(-18))? 26 What is the value of ((0 - -1) + -2)*((-10504)/(-1010))/((-24)/30)? 13 Calculate (-48810)/9135 - (-4)/406. -16/3 What is 1*16/(-2)*(-46984)/(-53696)? -7 What is the value of (-7)/((-1512)/(-78)) + (100/(-16)*-1 - 6)? -1/9 What is the value of 33949/3994 + (-4)/(11592/24619)? 1/207 Calculate (((36/(-32))/(-3))/3)/(92/1932). 21/8 What is the value of (-9)/(-63)*(1*-1)/((105/112)/15)? -16/7 What is (-7389 - -7379) + 0 + -9? -19 Evaluate (528/(-836))/(((-13)/(-1235))/((-28)/70)). 24 (12/336)/((-5 + 6)*(-1080)/(-315)) 1/96 Evaluate -17 + (-3 - 50697/(-2021)) + -5. 4/47 What is the value of (187/(26928/672))/((-7)/(-39))? 26 (-54)/(-13)*((-6)/(-27)*-3 + 17/17) 18/13 What is 368/104*(-247)/11362? -1/13 (-2 - (-18)/12)*((78/8 - 1) + 0) -35/8 What is 1603356/(-809241) + ((-6)/(-107))/(-3)? -2 What is ((-6 - 12) + 113854/6342)*7/(-3)? 1/9 Evaluate 15680/480*6/(-7). -28 Calculate (-1)/4*(38 + ((-1748)/(-19))/23). -21/2 Evaluate (-4625)/27750*16/(-60). 2/45 What is (-2)/(-8)*1/9*4 + (-895587)/7118172? -1/68 What is 2/(-3)*((-9401)/170 + 9 + 506/(-55))? 37 Calculate (-34435)/23075 + 9/((-585)/20). -9/5 Calculate (-6 - 147/28)/(8/(256/12)) + -7. -37 Calculate -1 - 0 - (-235)/((-4935)/(-1512)). 71 Evaluate (48/88)/(-2 - (-1463)/726). 36 Calculate (-25894)/198 + 65 - -66. 2/9 Evaluate 72/((-58176)/(-8383)) - (-12)/(-32). 10 (455/(-54600))/(14/336) -1/5 Evalu
{ "pile_set_name": "DM Mathematics" }
rder. z, p, -5 Suppose 5*p + 0 + 5 = 0, -2*d + p + 11 = 0. Put -3, d, 2 in decreasing order. d, 2, -3 Let z(x) = -x**3 + 4*x**2 + x - 20. Let k be z(4). Sort k, -13, 3 in decreasing order. 3, -13, k Let g be (192/(-80))/(6/(-20)). Let v be 3/g - (-333)/72. Suppose v*h = 3*h + 10. Put 1, h, 2 in descending order. h, 2, 1 Let b = 4 - 3.68. Let i = -4.32 + b. Sort i, 1.5, 5. i, 1.5, 5 Let t be 12/14 + (-580)/203. Let r(a) be the third derivative of a**6/120 - a**5/60 + a**4/24 + a**3/6 - a**2. Let y be r(0). Sort t, 2, y in increasing order. t, y, 2 Let a = -5.6 - -4.5. Let b = -2.9 + a. Let f be (-1 - 0) + 9/(-4). Put -0.4, b, f in ascending order. b, f, -0.4 Let k = -931 - -892. Put 0.3, 1, k in ascending order. k, 0.3, 1 Suppose 0*s = g + s + 2, s + 14 = -4*g. Sort -3/2, g, 0, -1/7 in ascending order. g, -3/2, -1/7, 0 Let p(g) = g**3 + 12*g**2 - 11*g + 233. Let o be p(-14). Sort 674, o, 4 in ascending order. o, 4, 674 Let p be (5/3 - 2) + -1. Let a = -353/410 - -5/82. Sort a, p, -4, 2/17 in descending order. 2/17, a, p, -4 Let i(m) be the second derivative of m**5/20 + m**4 + 7*m**3/6 - 43*m**2/2 - 3*m. Let c be i(-11). Put 0, c, 20, 2 in decreasing order. 20, 2, c, 0 Suppose -10*q + 5*p = -6*q - 20, 2*q + 5*p = -20. Sort -2, -10, q, 1 in decreasing order. 1, q, -2, -10 Let o = 0.1 - -2.9. Let b = 0 + o. Let t = -964.1 + 964. Sort b, -3, t. -3, t, b Let v = -43 + 45. Suppose -4*l - 3*f - v = -0*f, f = 3*l - 5. Put l, 1/11, 4 in descending order. 4, l, 1/11 Let s = 142 + -137. Let a = -4 - -4. Put s, a, -5, -4 in descending order. s, a, -4, -5 Suppose -10*b = 18 + 32. Put 3, -39, -3, b in descending order. 3, -3, b, -39 Let i(m) = 25*m + 5. Let z be i(0). Let l = 0 - 3. Sort l, z, 9 in increasing order. l, z, 9 Let m = 7 - 4. Let c = -49 - -49. Suppose -m*j + c - 3 = 0. Sort -2, -3, j in increasing order. -3, -2, j Let u = -8 - -3. Let o be 1 - (-3 - u)/2. Suppose -2*c + i = -o*i - 7, -5*i = 25. Put 0, -5, c in decreasing order. c, 0, -5 Let j be 30*-1*18/(-108). Suppose u = 4*u - 12. Sort 12, j, u. u, j, 12 Let h be (-3)/(0 - 6/(-8)). Let w = -37 - -42. Suppose 2*r + 10 = 0, -g + 0*r + 23 = -w*r. Sort g, h, -1 in decreasing order. -1, g, h Suppose -39 = -13*z - 52. Let q = 0 + 0. Put z, 1, q in decreasing order. 1, q, z Suppose 210 = 32*p - 686. Put p, 2, -3, 5 in increasing order. -3, 2, 5, p Suppose 0 = 127*n - 97*n. Put n, -1, 215 in descending order. 215, n, -1 Suppose 42*q = 99 - 15. Put 0.075, q, -0.3 in decreasing order. q, 0.075, -0.3 Let v be 3 + ((-6)/(-3))/1. Suppose 7 = -v*d + 22. Sort -2, -5, -4, d. -5, -4, -2, d Suppose 0 = -s + 2*s - 3. Sort 0, -12, s in increasing order. -12, 0, s Let a = -1520 + 1519.88. Put a, 5, -0.2 in ascending order. -0.2, a, 5 Let y(u) = -u**2 - 9*u - 9. Let n be y(-8). Let s(m) = -9*m**2 + m + 1. Let r be s(n). Sort 2, r, 1, -4 in descending order. 2, 1, -4, r Let y be -2*(-2)/(-4) + 1. Let p(w) = -w**2 - w - 4. Let m be p(y). Suppose 40 = 159*b - 179*b. Put b, m, 3 in descending order. 3, b, m Suppose -5*w + 31 = -3*f, -7 = -w - 2*f + 3*f. Let u = -1.95 - 0.05. Suppose -35*j - 4 = -31*j - y, 0 = -2*y. Put w, u, j in decreasing order. w, j, u Let x(j) = -j**3 - 3*j**2 - 5*j - 4. Let v be x(-2). Suppose -2*r + 4 = v. Sort -4, -3, r, 4. -4, -3, r, 4 Let v = 1 + 73. Let t = -74.5 + v. Let c = 2.4 + -2. Put t, -4/3, c in decreasing order. c, t, -4/3 Suppose 0 = d + 4*d - 15. Suppose -5*w - d*z - 5 = 0, -z = 5*w - 3*z - 20. Let h be ((-360)/(-405))/((-2)/(-9)). Sort 0, w, h in descending order. h, w, 0 Let j(v) = -v**2 - 18*v - 15. Let c be j(-17). Let h = 12 - c. Suppose -2*g = -0*g - h. Put -13, 1, g in ascending order. -13, 1, g Suppose a - 11 = -3*m - 4, 5*m = -5*a + 5. Let w = -381/10 - -77/2. Sort 0.5, w, a in increasing order. a, w, 0.5 Let z = 39 + -38.7. Let y = -0.92 - -1.1. Let s = -0.82 - y. Sort -5/2, s, z in descending order. z, s, -5/2 Let c(v) = 2*v - 7. Let j be c(4). Let x = 10 - 19. Sort x, j, 5. x, j, 5 Let d = -13051 + 521997/40. Let c = 7/8 + d. Let l = 1686 - 1690. Sort l, c, 0.3 in ascending order. l, c, 0.3 Let j = -3.9317 + -0.0683. Sort 26, j, 2, 0.2 in increasing order. j, 0.2, 2, 26 Suppose -5*j = 4*w - 4, 3*w + 0*j = -3*j. Suppose c + 4*m - 19 = 0, 5 - 13 = -2*m. Sort w, c, 8 in ascending order. w, c, 8 Let m = 2 + 2. Let q = 3 - m. Let n = 8 + q. Sort n, -0.3, -0.5 in increasing order. -0.5, -0.3, n Let s be (168/94)/(1 - 11). Let i = -1/47 + s. Let f(u) = u**2 - 3*u - 1806. Let q be f(-41). Put 0.8, i, q in descending order. 0.8, i, q Let j be 2/16 + 140/160. Let z = -2 + 2. Let r = z + -1. Sort j, r, -4 in ascending order. -4, r, j Suppose -4*j = -3*i + 18, -4*j - 13 = -5*i - 3*j. Let c be 6*5/(-20) + 0. Sort 1/4, c, i, 0.6 in decreasing order. i, 0.6, 1/4, c Let h = -27 + 38. Suppose 2*z - b + 7 = 4, 4*b = -4*z + 12. Sort z, h, -3. -3, z, h Let q = 1.948 + -1.87. Put 0.7, q, 3/2 in decreasing order. 3/2, 0.7, q Let f(c) = c**3 + 7*c**2 + 8*c + 2. Let p be f(-6). Let h be 6*(-4)/(13 + -1)*(-9)/6. Put h, p, 0, 2 in decreasing order. h, 2, 0, p Let o be -10*((-105)/21 + (-9)/(-2)). Put o, -0.5, -0.17 in descending order. o, -0.17, -0.5 Let a = 558 + -558. Put 8, 34, a in descending order. 34, 8, a Let s(z) = -z**3 - 17*z**2 - 17*z - 18. Let y be s(-16). Let p be (8/14)/(y/(-49)). Sort -4, -5, p in descending order. p, -4, -5 Let i(t) = -t**2 - 19*t + 148. Let r be i(6). Put 15, -16, r in descending order. 15, r, -16 Let x(t) = 2*t - 8. Let v be ((-6)/(-4))/(6/32). Let m(r) = 5*r - 23. Let u(f) = v*x(f) - 3*m(f). Let c be u(-10). Put c, -0.1, -3/2 in ascending order. c, -3/2, -0.1 Let z = -792/5 + 158. Let p = 7 - 11. Put -0.3, -0.1, z, p in decreasing order. -0.1, -0.3, z, p Let n = 23 - 5. Let t = n - 14. Sort 5, t, 2/7 in ascending order. 2/7, t, 5 Let n = -2189 - -2191. Suppose -3*f + f = 2. Let c = f + 1/2. Put 0.01, c, n in increasing order. c, 0.01, n Suppose 43*m = -262 + 993. Put 4, 5, m in decreasing order. m, 5, 4 Suppose 7*g - 2*g = 25. Let k(n) = 58*n - n**2 - 112*n - 2 - 2*n**3 + 56*n. Let q be k(1). Sort q, 4, g in increasing order. q, 4, g Suppose -f = -4*q + 2*f - 28, -8 = 2*f. Let y = 0.204 + 0.196. Put -2/3, 3, y, q in decreasing order. 3, y, -2/3, q Suppose -18*z + 2*u = -16*z - 10, 11 = 5*z + 2*u. Sort 2, z, -34 in descending order. z, 2, -34 Suppose -20 = 6*y + 376. Let i be y/21 - 1/(-7). Sort i, 3, -7, 5. -7, i, 3, 5 Let j be -4 - (-4 + (-6)/45). Let r = -17/26 - 1115/442. Let h = r - -446/119. Sort h, -0.5, j in increasing order. -0.5, j, h Let d = -951 + 929. Sort 3/2, 6, d. d, 3/2, 6 Let r = 15.1 + 0.9. Let p = 9 - r. Put 0.5, p, 5 in descending order. 5, 0.5, p Let g = -0.37 + -0.03. Let l(z) = -z**3 + 4*z**2 + 5*z - 5. Let v be 3*4/((-36)/(-15)). Let f be l(v). Put f, -7/2, g in increasing order. f, -7/2, g Let i = -4 - -1. Let m = 51 - -5. Let c = m + -55.7. Put 4, c, i in increasing order. i, c, 4 Suppose 4*c - 18 = 3*v, 2*c = -6 - 0. Let g = v + 5. Suppose -5*p + 2*p - 3 = 0. Sort p, 5, g. g, p, 5 Let i = -116/375 + -3/125. Sort i, -24.7, 0.4 in ascending order. -24.7, i, 0.4 Let q = 19 + -19. Suppose 3*w + 4*o - 23 = 0, 5*w + 5*o - 42 = -12. Let n be 4 + w/(-3)*3. Sort n, 2, q in decreasing order. n, 2, q Let d(n) = -n**2 + 17*n - 37. Let g be d(14). Sort -5, 2, g. -5, 2, g Let j(i) = -4*i - 29. Let w be j(-8). Let d be w + -1 - (1 + -19)/(-3). Sort d, 0, 5, -3. d, -3, 0, 5 Let g be ((-5)/3)/(94/(-282)). Put -3, 4, 0, g in descending order. g, 4, 0, -3 Suppose 5*x + u + 148 = 0, -7*u + 3*u + 8 = 0. Let f = 34 + x. Put -11, f, -1 in increasing order. -11, -1, f Suppose 17 = 4*o - 5*o. Let n = -49 + 37. Let h = n - o. Put -5, 1, h in descending order. h, 1, -5 Suppose 0 = -534*w + 495*w - 2106. Let n be (-2)/3 + 65/(-15). Put w, 3, n in decreasing order. 3, n, w Let h = 1 - 2. Let m = 45.8 - 41.8. Put m, h, -2/7 in ascending order. h, -2/7, m Let p be 85/(-170)*(-1 + 3). Put 54, p, -5, 0 in decreasing order. 54, 0, p, -5 Let h = 18 - 22.6. Let p = h - -5.1. Let i be (-2)/(-4) + (-3 - -1). Sort -3, i, p in increasing order. -3, i, p Let n = -199 + 203. Sort -14, n, 0.5 in increasing order. -14, 0.5, n Suppose 5 = 3*u + 2*u. Suppose 4*d = 2*x - 5 - u, -d + 5*x + 21 = 0. Suppose 0 = 36*o - 38*o - 4. Put d, o, 4 in descending order. 4, o, d Let f
{ "pile_set_name": "DM Mathematics" }
(e) 0.4 c What is the second biggest value in -162, 0, 0.1? 0 Which is the second biggest value? (a) 6/11 (b) -17 (c) -0.2 (d) -5 (e) 1/2 e Which is the second biggest value? (a) 1/8 (b) 4 (c) 15.9 (d) 0.1 (e) -2/11 b Which is the third smallest value? (a) 4 (b) -0.12 (c) 9 (d) -2/5 (e) -8/9 b What is the second smallest value in 6, 4, 2/5, 0.1? 2/5 Which is the second smallest value? (a) 150 (b) -4 (c) -5/4 (d) 8 (e) 3 c Which is the third biggest value? (a) 0.06 (b) 2/7 (c) 3 a What is the second biggest value in 4, 0.08, -2/13, -4, -1.5? 0.08 What is the smallest value in 391, -0.11, 5? -0.11 What is the third biggest value in -1, 3, -19, 0.01? -1 What is the fourth biggest value in -2, 14/3, -3, 5? -3 What is the second biggest value in -1.1, -2, 2/13, 0.4, -7? 2/13 Which is the second smallest value? (a) 2/5 (b) -0.06 (c) -4/5 b Which is the fourth smallest value? (a) -4 (b) 0 (c) -3 (d) 4 d Which is the second smallest value? (a) 0.1 (b) 3 (c) 2/5 c What is the third smallest value in 6, 1.4, -5/2, -2/5? 1.4 What is the biggest value in -3, 5, 2/55, -0.4? 5 What is the third biggest value in -1, -0.03, -8? -8 What is the biggest value in 1, 93, -0.4? 93 What is the fourth smallest value in -3, -6/5, 4, 0.048, -0.4? 0.048 What is the smallest value in 7, 15, 5, 0.1? 0.1 Which is the third biggest value? (a) -24 (b) -2/3 (c) -2/7 (d) 0.4 b What is the smallest value in 0.4, 2, 0.08? 0.08 Which is the fourth smallest value? (a) 4 (b) -807 (c) -2/5 (d) 2/3 a What is the second smallest value in -0.3, 1/8, 0.5, -2/299? -2/299 Which is the second smallest value? (a) 3/29 (b) -3/7 (c) -0.3 c What is the third biggest value in 3, 0.1, -2/19, 2/11, -1/4? 0.1 What is the smallest value in 0.5, 4, 29, 3? 0.5 Which is the third biggest value? (a) -113 (b) 3 (c) 0 a What is the third smallest value in -2.8, -1, -1/3, 4? -1/3 Which is the fifth biggest value? (a) -1/3 (b) -1 (c) -5 (d) -2 (e) -1/2 c What is the smallest value in -0.5, 21, 2, 0.3? -0.5 Which is the fourth biggest value? (a) 4 (b) -6 (c) 0.5 (d) -2 b What is the fourth biggest value in 3, -17, -38, -0.1, 4? -17 Which is the biggest value? (a) -258 (b) 0.4 (c) -1 b Which is the third biggest value? (a) -2/5 (b) 0.01 (c) 6 a What is the second smallest value in -0.1, 4/11, 2, -2.9? -0.1 What is the fourth biggest value in 4, 2/5, 0.1, -22/3? -22/3 What is the biggest value in -0.1, -2/13, 4/9, -3? 4/9 What is the third smallest value in 0.5, 27, -2? 27 What is the fifth smallest value in -0.1, 34, -1, -0.3, 0.06? 34 Which is the third smallest value? (a) -1 (b) 2 (c) 0 (d) 3 b Which is the third smallest value? (a) -0.1 (b) -1/3 (c) 25 (d) 2/25 d Which is the second biggest value? (a) 255 (b) -4 (c) 2/11 (d) 2/5 d Which is the third biggest value? (a) 5 (b) 0.04 (c) 1 (d) 44 c Which is the third smallest value? (a) 0.4 (b) -21.11 (c) 2/3 c Which is the fourth smallest value? (a) -0.4 (b) -1 (c) 1.26 (d) 4/7 c What is the fourth smallest value in -7/3, -0.1, -5/3, 1? 1 What is the fourth smallest value in -4, -2.4, -2, 6? 6 What is the second smallest value in -0.2, 1891, -1/3? -0.2 Which is the fifth smallest value? (a) 0.1 (b) 0 (c) 9 (d) 2 (e) -1 c Which is the biggest value? (a) 1/5 (b) -1/15 (c) -0.2 a Which is the second smallest value? (a) -1/4 (b) 0 (c) -5 (d) -10/11 (e) -2 e Which is the smallest value? (a) 0.2 (b) -5 (c) 0 (d) -0.1 (e) -632 e What is the biggest value in 0, -2/23, 5? 5 What is the second biggest value in 17, -2, -3, -0.3? -0.3 What is the second smallest value in -3/5, 1/6, 0, -2/5? -2/5 What is the third biggest value in -3, -1/4, -0.357? -3 What is the third biggest value in 1/5, -0.12, 43? -0.12 Which is the third biggest value? (a) 2 (b) 1/4 (c) -0.4 (d) 2.8 b Which is the smallest value? (a) 1/2 (b) -59 (c) -4 b What is the biggest value in -0.2, 245, -3/8, 4/7? 245 What is the fourth smallest value in 1, -2, -2/7, 4? 4 Which is the second smallest value? (a) -1 (b) 0 (c) 0.0542 (d) -2 a What is the second biggest value in -2, 1, -3/5, 4? 1 Which is the smallest value? (a) -0.4 (b) -0.1 (c) -8.8 (d) 0.1 c What is the third biggest value in -5/6, -0.1, -0.58? -5/6 Which is the biggest value? (a) -2/13 (b) 0 (c) -51 (d) 1/5 d Which is the smallest value? (a) -2/9 (b) -1/53 (c) 2/5 a Which is the third biggest value? (a) 4 (b) -0.3 (c) 974 (d) 3 d What is the second biggest value in -0.2, 2/7, 0? 0 What is the second smallest value in 2/35, -5/3, 2/15, 0.031? 0.031 What is the third biggest value in -2, -2/3, 36/11? -2 Which is the third smallest value? (a) 0 (b) 0.005 (c) 5 (d) -0.2 b What is the fifth biggest value in -0.01, 3, -2/607, 1, -2? -2 What is the second smallest value in 0.001, -1, 0.2? 0.001 Which is the third biggest value? (a) -19 (b) 0.2 (c) 2.7 (d) -0.5 d Which is the second biggest value? (a) -1/64 (b) -0.4 (c) 0.2 a What is the third smallest value in 0.5, -0.4, 0.18, 3? 0.5 What is the second smallest value in 37, -2/7, 4, 1/6? 1/6 Which is the biggest value? (a) 4 (b) -1/3 (c) 0.08 (d) 0 a What is the second biggest value in -0.5, -3, -453? -3 What is the third biggest value in 3, -6/13, -2/3? -2/3 What is the second smallest value in 4, 7512, -2? 4 What is the fifth biggest value in -0.4, -5, 4, -2, -6? -6 Which is the second biggest value? (a) 1 (b) -2/3 (c) -2 b Which is the third biggest value? (a) -9 (b) -0.3 (c) 2.4 a Which is the third smallest value? (a) -0.03 (b) 14 (c) -0.5 (d) 1/6 (e) 0.05 e Which is the second smallest value? (a) -7/2 (b) 1/4 (c) -0.5 (d) -43/4 a What is the third smallest value in 0.12, 0.3, 2, -0.1, -2/9? 0.12 What is the smallest value in -3, 1/5, -37.24? -37.24 Which is the third smallest value? (a) 3 (b) 4 (c) 0.5 (d) -4/3 (e) -0.28 c Which is the second biggest value? (a) -1/96 (b) -0.06 (c) 7 a What is the third biggest value in -3/8, -0.4, 8/3, 2/5? -3/8 Which is the third smallest value? (a) 0.4 (b) 2683 (c) -2/3 (d) 2 d Which is the second smallest value? (a) 0.1 (b) -28 (c) -3 c Which is the second biggest value? (a) 0.4 (b) 6 (c) 5 (d) -0.4 c Which is the second biggest value? (a) 34/33 (b) 1 (c) -1/38 b What is the third smallest value in 0, 0.4, -0.22? 0.4 What is the third smallest value in -2/17, 1546, -0.1? 1546 What is the second smallest value in 0.4, -2/3, 3/109? 3/109 Which is the biggest value? (a) -5/2 (b) -11 (c) 0.3 (d) 4 d What is the second smallest value in -1/4, -3, 6/19? -1/4 Which is the second smallest value? (a) 2 (b) 7.2 (c) 4/3 (d) 1/5 c What is the second smallest value in -312/5, -2, -0.4? -2 What is the biggest value in -3, 0.5, 1, 8? 8 Which is the third biggest value? (a) -2/413 (b) 1/2 (c) 0.1 a Which is the second biggest value? (a) -1 (b) -2/9 (c) 3/2 (d) -5 b Which is the third smallest value? (a) 6 (b) 5 (c) -1 (d) -3 b What is the second biggest value in -0.03, -4, 4, 0.4? 0.4 Which is the second biggest value? (a) 2/7 (b) 0.14 (c) 0.5 (d) -4 a What is the fourth biggest value in 3/2, -15, 4, 9.6? -15 Which is the second biggest value? (a) 1/9 (b) 4 (c) -16/3 (d) 0.08 (e) -2/11 a What is the third smallest value in 6, -28, -5, -0.2? -0.2 Which is the biggest value? (a) 2/13 (b) 2 (c) -1/5 b What is the fourth smallest value in -0.5, 0, -5, 21? 21 What is the fourth biggest value in 48, -1/2, -0.6, 0.4? -0.6 What is the second smallest value in -0.064, -1, 0, -4? -1 What is the third biggest value in -0.03, -0.054, 0? -0.054 What is the third smallest value in 5, -8/7, -12, -4? -8/7 Which is the second smallest value? (a) 0.08 (b) -3 (c) -2 c What is the second biggest value in -0.04, 2/3, 158, 1/6? 2/3 What is the second biggest value in -1.42, -2/7, 0.2? -2/7 Which is the biggest value? (a) -4 (b) 2/5 (c) -10 (d) 1/5 b Which is the biggest value? (a) -19 (b) -6/5 (c) 3 c What is the biggest value in -7, -1, 3, -3? 3 Which is the second biggest value? (a) -1.747 (b) 1 (c) -0.1 c Which is the third biggest value? (a) 3/4 (b) 6/11 (c) -0.051 c What is the smallest value in 5, -5, 35.3? -5 Which is the biggest value? (a) -0.5 (b) -74 (c
{ "pile_set_name": "DM Mathematics" }
8)*-3)/(6/(-27))? 3/2 Calculate (22/11*3)/(-3). -2 What is the value of 4*((-2)/(-6))/(14/(-21))? -2 (-36)/(-135)*4/8 2/15 Evaluate 15/2*22/55. 3 What is (9/(-2))/(3/(-10)*5)? 3 Evaluate (-4)/((-16)/(-12))*(-2)/16. 3/8 What is (((-3)/(-16))/(69/92))/(-1)? -1/4 Evaluate (1*(-9)/(-3))/(252/42). 1/2 What is (8/(-10))/(((-80)/50)/(-8))? -4 Calculate (9/(45/10))/(-2). -1 6*((-120)/(-12))/450 2/15 Evaluate (-24)/16*160/48. -5 (4/((-80)/12))/(4/20) -3 What is the value of (-32)/264*9/6? -2/11 What is the value of ((-4)/(-112))/((-4)/(-14))? 1/8 What is (-18)/45*(-10)/28? 1/7 Evaluate (4*7/42)/(9/6). 4/9 What is the value of (7/((-756)/3))/(9/(-72))? 2/9 What is ((-176)/484)/(1/11)? -4 What is the value of 0/2*1/(-4)*2? 0 Evaluate 3/1*2*(-9)/18. -3 Calculate ((-66)/231)/(3*3/7). -2/9 What is the value of (3/30)/(17/170)? 1 Evaluate ((-14)/((-504)/(-27)))/(300/32). -2/25 What is the value of -9*(-19)/((-2052)/48)? -4 What is the value of (-8)/(-3)*3/(-2)? -4 Calculate ((-1)/3)/(2/24). -4 1/((12/(-9))/(-4)) 3 What is the value of (-2)/(-1)*6/12*-4? -4 ((-3)/(-18))/(3/(-6)) -1/3 Evaluate 2/(-2*3/(-12)). 4 16/(-28)*-3*(-35)/(-390) 2/13 Calculate (-3)/(-12)*-1*-1. 1/4 Evaluate -10*2*(-5)/25. 4 Calculate (-4)/52*-13*-2. -2 What is the value of (-1)/(((-56)/(-8))/28)? -4 What is 2*10/(-20)*1/(-5)? 1/5 What is the value of 32/16*6/6? 2 Evaluate (6/(-8))/((-9)/(-8)). -2/3 (2/(-15))/((-10)/(-10)) -2/15 Calculate (-4)/16*-4*6/(-3). -2 What is ((-45)/(-210))/(36/14)? 1/12 Evaluate 48/28*-1*(-7)/2. 6 What is the value of (-1)/(3/18)*(-2)/(-3)? -4 ((-80)/(-10))/(-8)*-7 7 (8/16)/(1/(-4)) -2 What is the value of (-23)/((-322)/4)*14? 4 What is (8/(-12))/(16/(-16))? 2/3 Evaluate (10/4)/((1995/252)/(-19)). -6 Evaluate (6/(-640)*-8)/((-6)/(-5)). 1/16 What is 3/2*20/(-75)? -2/5 Calculate ((-10)/12)/(855/(-228)). 2/9 12/15*40/(-112) -2/7 Evaluate (80/(-600))/((-4)/(-6)). -1/5 Calculate 1/(8/(-10))*(-9)/(-15). -3/4 (-70)/(-21)*4/(-20) -2/3 (1*8/20)/(21/(-35)) -2/3 What is (3/(-5))/((-4)/20)? 3 Calculate (-75)/100*(-15)/(-9). -5/4 What is the value of (1*-3)/((-27)/(-36))? -4 Calculate (-8)/5*4/(24/(-15)). 4 Evaluate (-3*(-3)/(-6))/((-3)/6). 3 ((-26)/(-117))/((-3)/(-81)) 6 Evaluate ((-49)/196)/((-1)/1). 1/4 What is (-120)/150*(-5)/(-6)? -2/3 Evaluate ((-14)/56)/(2/(-40))*-2. -10 Calculate (-43)/129*(-1)/(1/(-9)). -3 What is the value of (-2)/(-6*(-6)/(-6))*-1? -1/3 Calculate (0/8*1/(-1))/(-4). 0 What is 5/(-10)*4*-2? 4 Calculate (4/10)/(252/(-60))*3. -2/7 What is ((-285)/342)/((-2)/(-12))? -5 What is the value of 120/24*(-1)/1? -5 Evaluate ((-156)/65)/(-3*(-2)/15). -6 What is the value of 3*(-5)/15*6? -6 What is the value of (12/(-20))/((-2)/(-30)*3)? -3 What is ((-16)/(-3))/(-2)*(-20)/40? 4/3 What is the value of 1/(-6)*0/3? 0 What is the value of (3/(-30)*-1)/((-6)/(-12))? 1/5 (3*(-12)/(-9))/(6/3) 2 (70/10)/(2/2*-1) -7 Calculate (4/8)/(18/36). 1 What is the value of 36/9*6/(-84)? -2/7 Evaluate (-3)/45*(-4)/(-8)*3. -1/10 What is 132/429*(-13)/6? -2/3 ((-7)/(-42))/(1/(-2))*2 -2/3 What is 35/182*(-2)/(-10)*-2? -1/13 What is (-30)/10*1/1? -3 (8*(-7)/(-42))/((-6)/27) -6 What is the value of 147/(-126)*8/14? -2/3 Evaluate 1/((-3)/(-3)*-1). -1 Evaluate ((5/(-20)*-4)/1)/1. 1 What is the value of ((2*-3)/(-3))/(16/2)? 1/4 Calculate (3/(-27))/((-1)/(-3)). -1/3 What is (1/1)/1*134/(-134)? -1 0/(-1)*(10/(-2))/(-20) 0 3/(-30)*25/(-15) 1/6 Calculate (-1*(-2)/(-6))/(924/504). -2/11 (-371)/(-106)*(-1)/(-14) 1/4 (9/3)/(-3*(-2)/(-4)) -2 What is 2/((-8*1)/((-32)/(-16)))? -1/2 What is 24/(-40)*2*20/(-144)? 1/6 Evaluate (126/12)/3*(-16)/(-14). 4 4*(-8)/((-256)/28) 7/2 Calculate ((32/(-12))/(-2))/((-2)/6). -4 (6/(-8))/((-1)/(-16)*4) -3 Evaluate 91/(-182)*0/(-2). 0 Calculate (0/10)/(4/(-4)). 0 What is ((-171)/(-190))/((-6)/5)? -3/4 Evaluate (-1)/((280/(-7))/8). 1/5 Calculate ((30/2)/30)/(1/(-12)). -6 Calculate 21/49*2/3. 2/7 What is the value of 13/(260/8)*1? 2/5 What is -8*9/(-4)*2/4? 9 What is the value of (2/4)/((-12)/(-18))? 3/4 Evaluate ((-12)/154)/(3/(-21)). 6/11 What is the value of ((-12)/18)/(-1*2/(-12))? -4 Calculate (-4*2/(-132))/(39/351). 6/11 What is (280/490)/(1/7)? 4 What is 6*(-7)/84*(-6)/4? 3/4 What is the value of (10/(-90))/(2*7/(-56))? 4/9 (-70)/42*-6*2/30 2/3 (-1)/(-3*(-6)/(-45)) 5/2 What is 18/(-63)*((-14)/(-17))/(-2)? 2/17 What is the value of (9*14/(-735))/((-2)/(-5))? -3/7 What is the value of (-15)/(-9)*((-18)/(-8))/(-3)? -5/4 Calculate ((-2)/(-8))/((-8)/(-32)). 1 Calculate (-3)/10*(68/(-9))/(-17). -2/15 Evaluate -10*8/20*-1. 4 Evaluate (4/6)/(76/(-342)). -3 Evaluate 4*((-2)/(-24))/((-15)/(-5)). 1/9 Evaluate (-50)/(-100)*0*1/(-2). 0 (3/(-52))/((-12)/(-32)) -2/13 What is (162/135)/(-1*(-3)/(-15))? -6 What is (-14)/56*(-16)/(-8)? -1/2 Calculate 2*1*(-5)/30*-9. 3 Calculate (3/18)/(5/(-50)). -5/3 Calculate ((-30)/2)/5*-2. 6 What is the value of 6*(-3)/(-30)*-1? -3/5 Evaluate (-2)/(-8)*156/(-117). -1/3 Evaluate (3/(-9))/((-130)/234). 3/5 What is (6/32*4)/((-225)/180)? -3/5 Calculate ((5/(-2))/(-5))/((-2)/(-12)). 3 What is the value of (2/4)/((-119)/(-102))? 3/7 Evaluate (2/6)/(1/162*9). 6 What is the value of (23/(138/(-72)))/2? -6 What is the value of (-1)/3*48/4? -4 What is (((-70)/5)/7)/15? -2/15 What is the value of 1/(-1)*4/(-8)*6? 3 Calculate ((-1)/(-2))/(2/(-8)). -2 What is the value of (-45)/6*88/(-110)? 6 (6/(-10))/(4/40) -6 Calculate (30/(-4))/3*(-5)/(-10). -5/4 What is the value of ((-8)/(-16))/((-4)/(-16))? 2 What is 10/(-6)*2448/(-510)? 8 What is the value of (-1)/(((-15)/(-3))/5)? -1 Calculate (-182)/((-130)/10)*(-2)/4. -7 What is the value of (1/7)/(74/259)? 1/2 What is the value of (-14)/12*10/35? -1/3 (0/(-24))/(-3*1) 0 Calculate (5/5*1)/((-8)/(-4)). 1/2 24/(-4)*(4/30)/1 -4/5 (-16)/(-108)*6/4 2/9 Calculate ((-4)/(-126))/((-30)/(-45))*3. 1/7 What is ((-3)/(-6))/(6/4)? 1/3 3/6*-8*2/2 -4 Evaluate -3*3/((-72)/8). 1 What is (-2)/3*60/200? -1/5 Evaluate (-5)/(-15)*36/6. 2 What is the value of (-3*8/28)/((-2)/14)? 6 Calculate ((3/3)/3)/(9/(-6)). -2/9 Calculate (3/1)/((-189)/(-14)). 2/9 What is the value of (69/115)/(((-36)/(-5))/4)? 1/3 What is 7*(2/(-42))/(1/(-15))? 5 What is (50/(-20))/(-5)*12? 6 What is the value of (27/18)/(2/4)? 3 Evaluate (6/(-4))/(20/(-560)*6). 7 Evaluate (-1)/(1/(8/(-8))). 1 Evaluate 8/(-6)*(-36)/(-3120)*-10. 2/13 Evaluate (1/7)/(14/49*3). 1/6 What is the value of ((-4)/(-8))/(4*(-4)/(-16))? 1/2 (5/4)/(2/(-8))*1 -5 What is (-10)/4*32/280? -2/7 (2/52)/1*4 2/13 Evaluate 15/(-50)*(-10)/12. 1/4 What is the value of (576/(-40))/12*3/(-6)? 3/5 What is the value of (-3*4/18)/((-40)/15)? 1/4 What is the value of (0/(4/2))/(3/3)? 0 Calculate (-168)/12*(-2)/7. 4 ((8/2)/(-24))/(1/(-2)) 1/3 What is 0/2*37/74? 0 What is the value of 6/57*2/(-2)? -2/19 What is the value of (-1)/(-1)*100/(-20)? -5 What is (-1)/(35/15)*1? -3/7 What is the value of ((-21)/(-42)*(-54)/3)/(-3)? 3 Calculate (5/4)/(23/92). 5 Evaluate -2*6/18*3/2. -1 Evaluate 1*(-1)/3*87/58. -1/2 Evaluate 33/22*((-12)/10)/(-3). 3/5 5/(((-4)/(20/(-5)))/1) 5 Calculate 6/4*-4*12/(-360). 1/5 What is (2/(-3))/((-2)/12)? 4 What is the value of ((-18)/(-6))/((-9)/15)? -5 Evaluate (1/9*9)/((-1)/(-4)). 4 What is 3/(-3)*(-68)/(-17)? -4 Calculate (18/15)/(279/310). 4/3 What is the value of (3*5/15)/(-1)? -1 Evaluate ((6/5)/2)/((-9)/10). -2/3 What is 320/2640*6/(-4)? -2/11 What is the value of (-16)/20*(-1)/(-2)? -2/5 What is the value of (-14)/(-56)*16/(-14)? -2/7 What is the value of (-489)/(-1793)*-1*11? -3 Evaluate 3/(-2)*-30*4/(-90). -2 Evaluate (-2)/8*4/5. -1/5 What is (420/2450)/((-3)/(-28))*5? 8 4*((-2)/(-12))/((-6)/(-27)) 3 8/(-9)*114/(-912) 1/9 Calculate ((1944/16)/27)/(2/(-4)). -9 Calculate (-8)/32*1*-12. 3 What is 8/(-6)*((-42)/4)/7? 2 10*3/(-12)*2 -5 What is 1232/385*(-10)/(-4)? 8 Evaluate 0/(2/((-6)/(-1))*-9). 0 What is ((-1)/16)/(19/(-76))? 1/4 What is 3/9*3*0? 0 What is (36/48)/((-6)/(-2))? 1/4 What is 1/(((-6)/2)/15)? -5 ((-4)/3)/((-23)/(46/(-6))) -4/9 Evaluate -1*4/50*5. -2/5 What is 6/10*585/1053? 1/3 Calculate ((-6)/14)/((-6)/21). 3/2 What is the value of (-18)/(-27)*((-12)/14)/2? -2/7 Evaluate 3*(-22)/(220/(-30)). 9 What is ((-155)/558)/((-5)/3)? 1/6 What is -15*(-3)/54*1? 5/6 ((-6)/28)/(15/(-10)) 1/7 Calculate (-1*4/24)/((-7)/14). 1/3 (1/2)/((-5)/(-30)) 3 Evaluate (-6)/(-9)*9*1/(-
{ "pile_set_name": "DM Mathematics" }
st to 10/7 in -5, h, -0.4? h Let z = 3.23 - -0.07. Let t = 2.8 - z. Let y = 4 - 5/2. What is the nearest to y in 3, -0.2, t? 3 Let o be (187/(-1111))/(8/5). Let r = o + -2/101. Which is the nearest to -1? (a) r (b) 4 (c) -0.1 a Suppose 4*n = 5*w + 7*n - 17, -8 = -2*n. Let i = -10/13 - -96/91. Which is the closest to 0.1? (a) w (b) 2 (c) i c Let m = -3.647 + 3.32. Let g = m + -0.073. What is the nearest to -1/4 in 7, 1/3, g? g Let l = -13 + 13. Which is the closest to -2/5? (a) -0.1 (b) l (c) -1/5 (d) -0.02 c Let k = 1.74 - 1.75. Which is the closest to 2/5? (a) 4 (b) 6 (c) k c Let b be ((-26)/78)/(3/(-36)). Let n = 3.2 + -3. What is the nearest to -0.1 in n, b, 0.3? n Let x = 31.25 + -27. Let j = x - 0.25. What is the nearest to -1/2 in 1, j, -1/2? -1/2 Let j(q) = 4*q**2 + 7*q + 7. Let i be j(-5). Let d be (-4)/(-18) + 128/i. Which is the closest to -2/7? (a) d (b) -3 (c) -0.1 c Let g = 822 + -820. Which is the nearest to g? (a) 2/25 (b) -3/4 (c) 1 (d) -5 c Let s = -2925 - -2930. Let w = -0.9 - -1. Let g = -10 + 16. What is the closest to w in s, -5, g? s Let i = 11 + -7. Let k be 4/14 - (9 + (-2532)/252). What is the nearest to -1 in i, k, -1? -1 Let j = 1.1 + -0.1. Let o be 17/(-136) - (-23)/(-8). Let i be (2 - 2) + 3/5. Which is the nearest to j? (a) o (b) i (c) -1/7 b Let r = -253 + 253.159. Let y = r - 0.059. What is the closest to y in 0.2, -10, -2? 0.2 Let p be 16/6 + (-4)/6. Let m be (-136)/(-84) - (-176)/462*(-6)/8. What is the nearest to 2/9 in m, 0, p? 0 Let d = -6.9 - -6.6. Let h be (3/(-8))/((-6)/(-4)). Which is the closest to h? (a) -5/3 (b) d (c) 2 b Let z = -3.33 - 4.67. Which is the closest to 0.2? (a) -5/2 (b) z (c) -4 a Let i = -0.1841 + 0.0841. Let c = -2.8 + -1.1. Let p = -4 - c. What is the nearest to i in p, -2/3, -5? p Let y = -17/48 + 1/48. Which is the nearest to 3/8? (a) y (b) -2 (c) 0.5 c Let i = 326.9 + -326.6. Let h = -0.31 + 0.3. Which is the nearest to 1? (a) i (b) h (c) 4 a Let u = -21/88 + 27/44. Let h = 8 + -4. Which is the closest to 0.2? (a) u (b) 0 (c) h a Let t = 135.06 - 133. Let q = 0.06 - t. Which is the nearest to q? (a) 0.1 (b) 2/7 (c) 2 a Let n = -211 + 209. What is the nearest to -0.5 in 3/7, -0.4, n, 2? -0.4 Let t = -2.96 + 3. Let m = 0.6586 - 0.7586. What is the closest to m in 0.3, t, 0.2? t Let m = 19/198 - 5/18. What is the closest to -1 in 1/2, m, -0.3, 1? -0.3 Let m = 8 - -3. Let o be (4 - 2)*(-43)/215. What is the closest to 0.2 in o, m, 0.2? 0.2 Let t = -31 + 37. Suppose 4*v + 4 = t*v. What is the nearest to 0 in 0.4, v, -1/3? -1/3 Let p be (6/9)/((-10)/(-6)). Which is the closest to 0? (a) p (b) 0.3 (c) -1/2 b Let t = -38.5 + 39. Suppose 5*x = 4*x. Which is the nearest to -2/7? (a) 5 (b) x (c) t b Suppose t + 2*t - 15 = 0. Let z = 3.3302 - 1.3302. What is the closest to z in -4/7, t, 1/15? 1/15 Let b = -0.1022 + 5.1022. What is the nearest to 0.1 in 0.2, 44, b? 0.2 Let i = -0.11 - 25.89. Let o = i + 26.2. Which is the closest to -0.3? (a) -1 (b) -1/6 (c) o b Let z = -69 - 5. Let n = z - -73. Let g be (0 + 1/(-8))/(-1). Which is the nearest to n? (a) 3/2 (b) 5 (c) g c Let q = -483 - -482. Which is the nearest to q? (a) -5 (b) -0.5 (c) -0.2 b Let l = 1072 - 1071.956. Which is the nearest to 0? (a) l (b) -5 (c) 1/3 (d) 1 a Let a = -0.45 + -0.15. Let t = a + 3.6. What is the nearest to -1 in t, -0.3, 1? -0.3 Let q(f) = 2*f + 7*f - 3*f**2 + 0*f**2 - 6 + 4*f**2. Let l be ((-2)/2)/((-4)/(-40)). Let w be q(l). What is the nearest to 5 in -0.2, -2, w? w Let t = 64 + -62. What is the closest to 1 in 0.05, t, 1/2? 1/2 Let q = -19.98 - -20. What is the closest to -2 in 1/3, q, 0.3? q Let m = 1946 + -1947. Let y be 0 + 2 - (-1)/(-2). What is the closest to m in y, 0.2, -5? 0.2 Let u = 168 + -170. Let p = 0.5 + 0. Which is the nearest to 0.3? (a) u (b) -0.5 (c) p c Let y be (-6)/(-11)*(-1)/3. Let v be ((-2)/(-2))/((-12)/(-216)*153). Which is the nearest to 2/7? (a) v (b) -5/3 (c) y a Let r be 18/24 + 13/(-28). Suppose j + 4*q = -13, -4*q = -4*j - 27 + 55. What is the nearest to 2/5 in 1/4, j, r? r Let q = 0.37 + -5.37. Let m = -479/170 - -27/10. What is the closest to 0.05 in m, q, 2/5? m Let r be ((-4)/(-22) - (-40)/22)*-1. Which is the closest to r? (a) -0.4 (b) 4/7 (c) -5 (d) 2/11 a Let d be 2/(-3) - ((-76)/12 - -6). Let i = -3.5 - -4. What is the closest to d in -1/2, -4, i? -1/2 Let k = -1367/7 - -195. Which is the closest to -1/3? (a) 3/5 (b) k (c) -10 b Let o = 50.7 - -5.3. Let s = o - 55.5. What is the closest to -1/4 in 2/5, s, -0.2? -0.2 Let p = 84 - 80. Which is the closest to 0? (a) p (b) -1/19 (c) -1/4 b Let y = -0.091 + -2.909. Which is the closest to -1? (a) -0.54 (b) 0.1 (c) y (d) 0.4 a Let n = 0.11 - 0.91. Let o = n - -1.2. Let i = 0.404 - -0.096. What is the closest to 3 in i, o, 2/3? 2/3 Let q = 77.1 + -79.1. What is the closest to q in 0.2, 1/2, -0.2? -0.2 Let g = -92 - -44. Let r be g/(-140) + (-1)/5. Which is the nearest to 0? (a) 0 (b) r (c) -2/17 a Let v = -3 + 2.9. Suppose 0*i - 40 = 5*i - 3*z, -3*i = -2*z + 25. Let n = 2 - 5. What is the closest to v in i, -1/5, n? -1/5 Let g = -7 - -48/7. Let d = -445 + 447. Which is the closest to d? (a) g (b) -2/17 (c) -5 b Let g = 2.9 - 3. Let d = -0.16 - -24.16. Let w = d + -27. Which is the closest to g? (a) w (b) -0.3 (c) -0.5 b Let p = 5 - 5.03. Let s = -13.9 + 26.2. Let o = s + -12. Which is the nearest to -0.1? (a) p (b) o (c) -2/7 a Let r = 13.8 - 13.6. What is the closest to r in 1, 2, 5? 1 Suppose 0 = 3*r - 2*z - 15, -5*r + 3*z - 8*z = 0. Let h = -3 - -5. Let f = 0.2 + -0.4. What is the nearest to -0.1 in r, f, h? f Let d = 60 - 241/4. What is the nearest to 1 in 4/7, 1/5, d, -0.4? 4/7 Suppose 0*m = -3*m + 33. Suppose w = -m*s + 12*s, 4*s + 4*w = 0. What is the nearest to s in 1, -9, 0.5? 0.5 Let y be 0/(-3 + 6/3). Suppose -4*x - 200 = -y*x. Let u be ((-12)/x)/(12/40). Which is the closest to 0? (a) u (b) 3 (c) 0.5 c Let r = 1360 + -1359.5. Let x = 0.04 + -5.04. Which is the closest to x? (a) 4 (b) -1 (c) r b Let c = -8.71 + 6.71. What is the closest to c in 9, 0.2, 1, -1? -1 Let l = -112 - 8. Let z = -99.6 - l. Let j = -20 + z. Which is the nearest to 1/17? (a) 0 (b) j (c) -2 a Let m = -1.5 - -1. Let h(d) = d**2 - 4*d. Let x be h(5). Let r(l) = 27*l**2 - 1136*l + 86. Let b be r(42). What is the closest to b in -0.4, x, m? -0.4 Let z = -7/6 - -4/3. Let y = 0.426 + -0.41. Let r = -1.016 + y. Which is the closest to r? (a) 1/4 (b) 0.5 (c) z c Suppose -g = -5*z + 2*g + 40, -g = -z + 10. Let m = -4 - -6. Let t be 1 + 14/(-6) - -2. Which is the closest to -0.3? (a) z (b) m (c) t c Let i = 1 + -0.8. Let d be 3008/517 + (-2 - 4). Which is the nearest to -3? (a) 0.5 (b) i (c) d c Let t be 3 + -4 - (-8)/6. Let n = 91.9 + -91.6. What is the closest to -1 in n, -3/8, t? -3/8 Let u = -1/901 - -1805/2703. Which is the nearest to 1? (a) -0.2 (b) u (c) -1/6 (d) 4 b Let o be (-9)/(-10) - 2/5. Let p = 30.7 + -31. Which is the closest to 1/3? (a) p (b) 1/5 (c) o b Suppose 0 = 4*f + 4, 0 = 9*s - 6*s - 4*f + 5. Which is the nearest to 0? (a) s (b) 3/5 (c) -0.12 (d) 4 c Let s = 0.321 - 0.421. What is the nearest to s in 0, -2, -0.1? -0.1 Suppose 4*j = 15 + 1. Suppose -185 = 5*p - 5*s, 0 = -p - p + s - 72. Let y = p - -34. Which is the nearest to y? (a) j (b) 0.1 (c) 8 b Let w = -472 - -472. Which is the closest to 1/4? (a) w (b) -8 (c) 0.3 (d) -9 c Let y = 17.6 - 12.6. What is the closest to 2/5 in 0.5, -3, y? 0.5 Let r = -31 - -33. Suppose r*p - 7 - 1 = 0. Which is the nearest to 0.1? (a) p (b) 0.1 (c) -4/5 b Let s = 72 + -150. Let u = s + 78.3. Let v = 6 - 1. Which is the closest to -1/2? (a) v (b) u (c) -5 b Let y = -0.1 - -0.1. Let q(z) = -z**2 + 7*z - 7. Let x be q(8). Let n be (4/10)/((-24)/x). What is the nearest to n in y, -2, -1/3? y Let o be 0/((3 + -2)*-2). Let j = -123/13 + 1327/143. Which is the nearest to 7/9? (a) o (b) -5 (c) j a Let y = -39 - -44. Let o = -4.2 + 1.2. What is the nearest to -1 in y, 2, o? o Let d = 1627/13 - 125. Which is the nearest to 0.2? (a) -4 (b) d (c) 158 b Suppose -15*l + 16 = -24 + 25. Let w be 4/10 + (-116)/(-10). Which is the nearest to l? (a) w (b) 1 (c) -0.4 b L
{ "pile_set_name": "DM Mathematics" }
least common multiple of 40 and 179831632? 899158160 Calculate the smallest common multiple of 112266744 and 246199. 112266744 What is the common denominator of 61/2920 and 59/80246? 117159160 What is the common denominator of 51/596557 and 24/101? 60252257 Calculate the smallest common multiple of 317208621 and 2. 634417242 What is the common denominator of 125/168 and 46/2306073? 18448584 Find the common denominator of 77/755780 and 109/2900. 109588100 Find the common denominator of -37/2883492 and 43/1922328. 5766984 Find the common denominator of 57/22 and -17/7154912. 78704032 Calculate the lowest common multiple of 2691856 and 2018892. 8075568 Calculate the common denominator of -49/7678 and 41/35104. 134764256 Calculate the common denominator of -11/635697 and 46/1221. 6992667 Calculate the least common multiple of 38 and 225262. 4279978 Calculate the common denominator of -103/95208642 and 179/270. 476043210 Find the common denominator of 145/4119324 and 97/484. 4119324 Calculate the least common multiple of 2554468 and 364. 33208084 What is the lowest common multiple of 1386450 and 92430? 1386450 Find the common denominator of -71/20535 and -83/59570. 6612270 What is the common denominator of -79/9094144 and -39/428? 9094144 What is the smallest common multiple of 7816853 and 1133? 805135859 What is the common denominator of -62/7388445 and 11/137425077? 687125385 What is the smallest common multiple of 4997520 and 209088? 659672640 Calculate the smallest common multiple of 10527832 and 1036. 10527832 Find the common denominator of -71/783432 and -31/18. 783432 Find the common denominator of 115/1286166 and -107/1512. 46301976 Calculate the common denominator of 21/7592020 and -131/3796010. 7592020 Calculate the lowest common multiple of 3180654 and 62435060. 1685746620 Calculate the common denominator of 13/84 and 46/59993871. 239975484 What is the common denominator of -61/358092 and 113/49392? 1432368 Calculate the smallest common multiple of 24456 and 144. 146736 Calculate the common denominator of -64/9 and 6/8389817. 75508353 What is the common denominator of -109/14112 and -109/6459768? 25839072 Calculate the smallest common multiple of 458 and 53432570. 53432570 What is the common denominator of 17/625484 and 89/10320486? 20640972 Find the common denominator of -115/1111662 and 70/84663. 25568226 Find the common denominator of 71/1365810 and 143/1144800. 983383200 What is the common denominator of 1/20492 and -61/4324? 471316 Find the common denominator of 93/1180820 and -67/3680. 9446560 Calculate the lowest common multiple of 84 and 5544476. 16633428 What is the common denominator of 17/110060342 and 29/15722906? 110060342 Calculate the common denominator of 113/5718658 and 71/2599390. 28593290 What is the least common multiple of 997694 and 328? 3990776 What is the common denominator of -37/54633319 and 1/1659? 1147299699 Calculate the least common multiple of 4756 and 338496. 9816384 Calculate the smallest common multiple of 18559596 and 12373064. 37119192 Calculate the smallest common multiple of 1230584 and 6614389. 52915112 Calculate the least common multiple of 6716836 and 111792. 80602032 What is the smallest common multiple of 157572 and 53469432? 160408296 What is the lowest common multiple of 2886843 and 379? 2886843 What is the least common multiple of 14 and 971585284? 6801096988 Calculate the common denominator of 7/45797774 and 21/5335. 228988870 What is the common denominator of 89/22128 and 50/123087? 1969392 Find the common denominator of -97/9354840 and 167/660. 9354840 What is the lowest common multiple of 67245297 and 67245297? 67245297 Calculate the least common multiple of 7952566 and 2. 7952566 What is the least common multiple of 10920 and 3423? 1779960 Calculate the common denominator of 133/34831476 and 39/10. 174157380 What is the lowest common multiple of 1171720 and 878790? 3515160 Find the common denominator of -59/156375 and 2/22549275. 112746375 What is the lowest common multiple of 555493053 and 30? 5554930530 Calculate the smallest common multiple of 10137 and 23284689. 23284689 What is the common denominator of 38/55301 and -46/493? 1603729 What is the common denominator of 33/82 and 29/628060? 25750460 Calculate the common denominator of -23/6113972 and -43/190. 30569860 Calculate the common denominator of -71/16562376 and 1/30364356. 182186136 Find the common denominator of 113/1755828 and -41/90. 8779140 What is the smallest common multiple of 861520 and 646140? 2584560 Find the common denominator of -1/368672 and -79/92168. 368672 Calculate the lowest common multiple of 278070 and 5865. 4727190 What is the lowest common multiple of 2653686 and 420? 26536860 What is the common denominator of 8/5008239 and -109/5574? 10016478 What is the smallest common multiple of 72219 and 3024510? 402259830 What is the lowest common multiple of 52239 and 759? 1201497 Calculate the smallest common multiple of 7759800 and 20. 7759800 What is the common denominator of 79/1140 and -163/620010? 23560380 Calculate the lowest common multiple of 28 and 40938. 573132 What is the lowest common multiple of 15161497 and 678873? 45484491 Calculate the common denominator of -11/46923597 and -111/5110. 469235970 Calculate the least common multiple of 4032 and 790317. 354062016 Calculate the lowest common multiple of 1499512 and 1927944. 13495608 Calculate the common denominator of -57/8778104 and 3/601240. 43890520 What is the smallest common multiple of 72105 and 4455? 1946835 Find the common denominator of 119/1770708 and 76/567. 334663812 Calculate the lowest common multiple of 2280508 and 27476. 2280508 Calculate the lowest common multiple of 3906 and 2116308. 44442468 Calculate the least common multiple of 2473311 and 3. 2473311 Calculate the least common multiple of 8346690 and 590. 492454710 What is the common denominator of 79/307984448 and 61/19249028? 307984448 Calculate the least common multiple of 63492 and 126984. 126984 Find the common denominator of -163/1953072 and 79/126. 13671504 What is the least common multiple of 13413520 and 2996? 93894640 What is the least common multiple of 4204264 and 525533? 4204264 Calculate the smallest common multiple of 6160 and 452410. 39812080 What is the common denominator of 26/3377013 and 61/474? 6754026 What is the lowest common multiple of 23590 and 1877090? 13139630 Calculate the least common multiple of 91558434 and 1126180. 915584340 Calculate the least common multiple of 180413168 and 157861522. 1262892176 What is the common denominator of 29/3432 and 191/2730? 120120 What is the smallest common multiple of 84390 and 415570? 120930870 Calculate the common denominator of 12/35591387 and 23/161047. 35591387 What is the smallest common multiple of 14 and 122682? 122682 What is the lowest common multiple of 54 and 13370634? 40111902 What is the common denominator of 49/92690 and 47/310155? 8064030 Calculate the lowest common multiple of 882 and 24174640. 217571760 What is the common denominator of -157/121800 and -79/1112208? 194636400 What is the common denominator of 79/122 and -65/132927? 16217094 Calculate the smallest common multiple of 4751091 and 12555. 213799095 What is the least common multiple of 90899019 and 81? 818091171 Calculate the common denominator of 69/10140166 and -51/22. 111541826 What is the smallest common multiple of 2512 and 11133498? 89067984 Calculate the common denominator of 74/19359 and -79/826940. 66982140 What is the smallest common multiple of 21640029 and 45? 324600435 Calculate the common denominator of -99/11882234 and -101/4732. 308938084 Calculate the common denominator of 91/2727096 and 63/909032. 2727096 Find the common denominator of -9/1957330 and -77/290. 56762570 Calculate the smallest common multiple of 429456 and 3489192. 2714591376 Find the common denominator of 9/19711790 and -73/2252776. 78847160 What is the common denominator of -91/3498308 and -9/164? 143430628 Calculate the common denominator of 69/196 and 89/52949596. 52949596 Calculate the lowest common multiple of 3028 and 1127. 3412556 Calculate the least common multiple of 35952 and 104646. 5860176 What is the smallest common multiple of 77740806 and 2
{ "pile_set_name": "DM Mathematics" }
761383? p**2 + 2*p - 261761407 What is the f'th term of -1367331, -2734658, -4101985? -1367327*f - 4 What is the f'th term of -15000399, -30000795, -45001193, -60001593? -f**2 - 15000393*f - 5 What is the k'th term of -20060249, -20060256, -20060265, -20060276, -20060289, -20060304, -20060321? -k**2 - 4*k - 20060244 What is the d'th term of -574543, -574551, -574561, -574573, -574587? -d**2 - 5*d - 574537 What is the l'th term of 86590, 84029, 79760, 73783, 66098, 56705? -854*l**2 + l + 87443 What is the s'th term of -188637368, -188637369, -188637370, -188637371? -s - 188637367 What is the r'th term of 179, 805, 2015, 3941, 6715, 10469, 15335? 22*r**3 + 160*r**2 - 8*r + 5 What is the o'th term of -11862214, -11862201, -11862188, -11862175, -11862162? 13*o - 11862227 What is the w'th term of -5129411, -5129415, -5129421, -5129429? -w**2 - w - 5129409 What is the i'th term of -515843, -1031873, -1548091, -2064497, -2581091, -3097873, -3614843? -94*i**2 - 515748*i - 1 What is the z'th term of -4013326, -8026609, -12039892, -16053175? -4013283*z - 43 What is the x'th term of 3874, 2908, 1890, 820, -302, -1476, -2702? -26*x**2 - 888*x + 4788 What is the h'th term of 3835, 7901, 11967? 4066*h - 231 What is the a'th term of -1202, -733, -16, 943, 2138, 3563, 5212? -a**3 + 130*a**2 + 86*a - 1417 What is the m'th term of -74474, -74437, -74378, -74297, -74194, -74069? 11*m**2 + 4*m - 74489 What is the h'th term of 15798, 31277, 46750, 62217, 77678, 93133, 108582? -3*h**2 + 15488*h + 313 What is the x'th term of -5404360, -10808623, -16212884, -21617143, -27021400, -32425655, -37829908? x**2 - 5404266*x - 95 What is the k'th term of 9512, 19079, 28632, 38171, 47696, 57207? -7*k**2 + 9588*k - 69 What is the l'th term of -9067, -3395, 2277? 5672*l - 14739 What is the f'th term of -3491, -3517, -3551, -3587, -3619, -3641, -3647? f**3 - 10*f**2 - 3*f - 3479 What is the p'th term of -15002, -18128, -21254, -24380, -27506? -3126*p - 11876 What is the b'th term of -1846, -6769, -14886, -26125, -40414, -57681, -77854, -100861? 12*b**3 - 1669*b**2 - 189 What is the n'th term of 13665, 13696, 13769, 13902, 14113, 14420, 14841? 3*n**3 + 3*n**2 + n + 13658 What is the h'th term of -8753, -35230, -79429, -141350, -220993? -8861*h**2 + 106*h + 2 What is the k'th term of 479974780, 479974783, 479974788, 479974795, 479974804, 479974815? k**2 + 479974779 What is the y'th term of 11894360, 23788722, 35683084, 47577446? 11894362*y - 2 What is the z'th term of 76966, 77144, 77402, 77740, 78158, 78656? 40*z**2 + 58*z + 76868 What is the n'th term of 31232, 31428, 31950, 32960, 34620, 37092, 40538, 45120? 27*n**3 + n**2 + 4*n + 31200 What is the v'th term of 34563, 52905, 71247? 18342*v + 16221 What is the u'th term of -37600, -76934, -118004, -160810, -205352, -251630? -868*u**2 - 36730*u - 2 What is the h'th term of -1147509, -4590052, -10327619, -18360210, -28687825, -41310464? -1147512*h**2 - 7*h + 10 What is the w'th term of -516860, -1033741, -1550622, -2067503, -2584384? -516881*w + 21 What is the i'th term of 227532849, 227532848, 227532847, 227532846, 227532845, 227532844? -i + 227532850 What is the v'th term of 37055, 37080, 37109, 37142, 37179, 37220? 2*v**2 + 19*v + 37034 What is the a'th term of -65396379, -65396376, -65396373? 3*a - 65396382 What is the d'th term of -5353, 12806, 30955, 49088, 67199, 85282, 103331, 121340? -d**3 + d**2 + 18163*d - 23516 What is the i'th term of -4220325, -4220405, -4220485, -4220565, -4220645, -4220725? -80*i - 4220245 What is the f'th term of -10283223, -10283242, -10283261, -10283280, -10283299, -10283318? -19*f - 10283204 What is the k'th term of -566, 12, 832, 1894, 3198? 121*k**2 + 215*k - 902 What is the x'th term of 133592, 257634, 381674, 505712, 629748? -x**2 + 124045*x + 9548 What is the h'th term of -9427214, -9427196, -9427176, -9427154? h**2 + 15*h - 9427230 What is the q'th term of 12465626, 12465640, 12465670, 12465722, 12465802? q**3 + 2*q**2 + q + 12465622 What is the z'th term of -369526, -739102, -1108732, -1478416, -1848154, -2217946? -27*z**2 - 369495*z - 4 What is the s'th term of 34426877, 34426909, 34426963, 34427039, 34427137, 34427257? 11*s**2 - s + 34426867 What is the y'th term of 7906, 28300, 61182, 106552, 164410, 234756? 6244*y**2 + 1662*y What is the o'th term of -912, -1310, -1702, -2082, -2444, -2782, -3090, -3362? o**3 - 3*o**2 - 396*o - 514 What is the m'th term of 1314879, 1314944, 1315061, 1315236, 1315475, 1315784, 1316169? m**3 + 20*m**2 - 2*m + 1314860 What is the w'th term of -120220, -120313, -120406, -120499, -120592? -93*w - 120127 What is the u'th term of -14004, -14422, -15130, -16134, -17440, -19054, -20982, -23230? -u**3 - 139*u**2 + 6*u - 13870 What is the r'th term of -4011, -4052, -4121, -4218? -14*r**2 + r - 3998 What is the c'th term of 2218, 4664, 7120, 9586, 12062, 14548, 17044? 5*c**2 + 2431*c - 218 What is the t'th term of -6009, -6478, -6941, -7398, -7849, -8294, -8733? 3*t**2 - 478*t - 5534 What is the b'th term of 214969595, 214969594, 214969593? -b + 214969596 What is the b'th term of -809074, -1618159, -2427248, -3236341? -2*b**2 - 809079*b + 7 What is the y'th term of -134804, -268927, -403050, -537173, -671296? -134123*y - 681 What is the z'th term of -7672531, -7672449, -7672367, -7672285? 82*z - 7672613 What is the v'th term of -19943, -19978, -19991, -19970, -19903, -19778? 2*v**3 - v**2 - 46*v - 19898 What is the r'th term of 132579, 529986, 1192337, 2119638, 3311895, 4769114, 6491301? r**3 + 132466*r**2 + 2*r + 110 What is the x'th term of 37390, 147145, 330070, 586165, 915430? 36585*x**2 + 805 What is the l'th term of -899, -2254, -4121, -6476, -9295? 4*l**3 - 280*l**2 - 543*l - 80 What is the f'th term of 472897, 472942, 472987, 473032? 45*f + 472852 What is the t'th term of -4935547, -4935563, -4935579? -16*t - 4935531 What is the d'th term of -473061, -946122, -1419183, -1892244, -2365305, -2838366? -473061*d What is the l'th term of 41508, 82648, 123788? 41140*l + 368 What is the a'th term of 13209, 13377, 13547, 13719, 13893, 14069? a**2 + 165*a + 13043 What is the x'th term of 17161, 17131, 17101? -30*x + 17191 What is the r'th term of -14000, -27782, -41542, -55280, -68996, -82690, -96362? 11*r**2 - 13815*r - 196 What is the m'th term of 34316, 282301, 955398, 2266163, 4427152? 35426*m**3 + 3*m - 1113 What is the w'th term of 12194110, 12194118, 12194126, 12194134? 8*w + 12194102 What is the i'th term of 151, 141, 25, -197, -525, -959, -1499? -53*i**2 + 149*i + 55 What is the o'th term of 462435, 462418, 462397, 462372? -2*o**2 - 11*o + 462448 What is the r'th term of -41682, -83395, -125110, -166827? -r**2 - 41710*r + 29 What is the h'th term of 361, 1045, 2977, 6775, 13057, 22441, 35545? 103*h**3 + 6*h**2 - 55*h + 307 What is the d'th term of 251245, 251259, 251269, 251269, 251253, 251215? -d**3 + 4*d**2 + 9*d + 251233 What is the l'th term of -48848, -48274, -47686, -47078, -46444, -45778, -45074, -44326? l**3 + l**2 + 564*l - 49414 What is the d'th term of 1239774, 1239705, 1239636, 1239567, 1239498? -69*d + 1239843 What is the i'th term of 13439, 18044, 22637, 27212, 31763, 36284, 40769, 45212? -i**3 + 4612*i + 8828 What is the p'th term of 1908, 1861, 1784, 1659, 1468, 1193? -3*p**3 + 3*p**2 - 35*p + 1943 What is the n'th term of -14123, -36011, -57899? -21888*n + 7765 What is the s'th term of 20070, 80278, 180620, 321096, 501706? 20067*s**2 + 7*s - 4 What is the t'th term of -4747, -9842, -15247, -20962? -155*t**2 - 4630*t + 38 What is the b'th term of -1528621, -3057243, -4585871, -6114505, -7643145, -9171791, -10700443? -3*b**2 - 1528613*b - 5 What is the c'th term of 3143, 20250, 62827, 142382, 270423? 1918*c**3 + 1227*c**2 - 2 What is the i'th term of -17958, -23386, -32428, -45078, -61330? i**3 - 1813*i**2 + 4*i - 16150 What is the l'th term of -66464, -138886, -211308, -283730, -356152? -72422*l + 5958 What is the o'th term of 10982, 51734, 162352, 377768, 732914, 1262722, 2002124, 2986052? 5822*o**3 + o**2 - 5*o + 5164 What is the j'th term of -71345, -71047, -70535, -69797, -68821, -67595, -66107, -64345? 2*j**3 + 95*j**2 - j - 71441 What is the s'th term of 984, 1037, 1156, 1371, 1712, 2209? 5*s**3 + 3*s**2 + 9*s + 967 What is th
{ "pile_set_name": "DM Mathematics" }
) -1/5 (c) 0 c Let i be ((-2)/(-12))/((-4)/(-6)). Let a = 51.46 + -51. Let h = -0.04 - a. What is the nearest to 1/3 in 2/5, h, i? 2/5 Let c = 1.06 - 3.06. What is the nearest to -0.2 in 2, c, -2/13, 2/21? -2/13 Let o = -0.32 - -0.21. Let n = o + -0.29. Let k = n - -5.4. Which is the nearest to -0.3? (a) -2 (b) 3/5 (c) k b Let w be (-3)/9 + 36/27. Let i = -239/962 + 7/74. Which is the closest to -0.1? (a) 2/11 (b) w (c) i c Let i = 34 + -34.4. Let p = -7 - -3. What is the nearest to 2 in i, p, 3? 3 Let x = -4.998 - 0.002. Which is the nearest to -1? (a) 0.4 (b) 3/2 (c) x (d) 6 a Let q = 5213.1 - 5213. Let z = 0.6 - -3.4. Let r = 3.1 + -3. Which is the nearest to r? (a) -0.1 (b) q (c) z b Let k be (30/(-25))/(4/(-10)). Which is the nearest to 0.2? (a) 0 (b) -2/9 (c) k a Let k = 941.7 - 942. Which is the nearest to -5? (a) k (b) 3 (c) -5 (d) -2/9 c Let s = 0.08 - 1.98. Let f = s - -0.9. Which is the nearest to -2/5? (a) f (b) 1 (c) -4 a Let u(y) = y**2 + 3*y + 3. Let o be u(-2). Let l = 31.9 + -32. Which is the nearest to -0.2? (a) o (b) -1/2 (c) l c Let o = 299 + -299.4. Which is the nearest to -1/7? (a) 0.3 (b) -12 (c) 5 (d) o d Let k = -2.94 + 2.94. What is the closest to k in 1, -0.5, 5/9? -0.5 Let n = 8.5 + -4.5. Let s = -0.8 - -4.8. Let v = 3 - s. What is the closest to v in n, -3, 0.1? 0.1 Let l = 0.872 + -1.272. What is the nearest to 1 in l, 1/2, -6, 5? 1/2 Let f = -686 + 681. Let l = 0.27 - -0.03. Suppose 0 = -k - 2 + 3. Which is the nearest to k? (a) l (b) f (c) 0 a Let p = 1.355 - -0.645. What is the nearest to p in 2, 0.2, 1/2? 2 Let i = 13 - 6. Let s be (-16)/i - (-5 + 3). Let y be 4/4*3*-1. Which is the closest to -1? (a) -2/9 (b) s (c) y b Let x = -305 + 302. What is the closest to 1 in 0.1, x, 36? 0.1 Let x = -7.6 + -63.4. Let i = 71.5 + x. What is the closest to -2/23 in i, -0.1, 4? -0.1 Let v = -0.15 - 1.85. Suppose -2*s + 16 = 4*j, s - 16 = -3*s. What is the nearest to v in j, 0, -0.3? -0.3 Let i = -0.593 - -1.093. Let o = -3.3 - 0.7. Which is the closest to -1/4? (a) -15 (b) i (c) o b Let h = 777 + -769. What is the closest to -10 in h, 0.4, -0.5? -0.5 Let h = -19/2 - -10. Let j = 382.9 + -383. Which is the nearest to j? (a) h (b) 9 (c) -5 a Let j = 711 + -710. Which is the closest to 1/8? (a) -4 (b) 1/9 (c) 5/6 (d) j b Let n = 0.13 - 0.03. Let c = 223 - 2901/13. What is the closest to 1 in 5, n, c? n Let a be (2/(-3))/((-10)/(-885)). Let i = -179/3 - a. Let p(k) = -k**3 + 3*k**2 + 3*k - 1. Let c be p(4). What is the closest to i in 0.3, 3/2, c? 0.3 Suppose 3*r = 3*l - 4 - 8, 19 = 4*l - 5*r. Let b = 551.3 + -551. What is the closest to l in 2/9, b, -4? b Let x = -9 + 9.1. Let g = 585/4193 + 2/599. What is the closest to 1 in g, x, 0? g Let p = 0.6 + -104.6. Let w = 106 + p. Let u = -1 - -0.6. What is the closest to w in -0.3, u, 4? 4 Let x = 214.64 + -214.6. What is the closest to 0.1 in -0.4, 4, 0.1, x? 0.1 Let h = -2 + 5. Let v = -0.0811 - 0.0189. What is the closest to v in h, -0.11, 0? -0.11 Let q = 3.149 - 0.453. Let y = q - -0.004. Let d = y + -3. Which is the closest to -1? (a) 5 (b) -1/11 (c) d c Let t = 170 + -170.4. Which is the nearest to 0.3? (a) 0.3 (b) t (c) 4 a Let g(h) = h**3 + 8*h**2 - 19*h - 25. Let f be g(-9). What is the nearest to f in 2, 2/5, -4, -2? 2 Let y be ((-5)/((-50)/(-20)))/14. Which is the nearest to 1? (a) -5 (b) -1 (c) y (d) 2.9 c Let f = -54/19 - -340/133. Which is the closest to 1? (a) f (b) -8/9 (c) 4 a Let l = -3.32 - -3.61. Let g = 77 + -77.71. Let y = g - l. What is the closest to -1 in -4/7, 0.2, y? y Let m = 672 + -683.2. Let v = -0.06 - 10.94. Let u = v - m. Which is the nearest to u? (a) 2/13 (b) 2/5 (c) -0.5 a Let p = 6 - 10. Let q = -3 - p. Let o be -1 - 16/(-20) - (-4)/5. Which is the closest to q? (a) -4 (b) -0.1 (c) o c Let r = 13.7 + -14. Let d = r + 0.6. Suppose 40 = 5*i - 5*j, 4*j = -i + 3*j. Which is the nearest to -0.1? (a) i (b) d (c) -0.1 c Let x = 22 - -18. Let r = -10 + x. Let q be 32/r + 10/(-15). What is the closest to -1 in q, 0.1, 2/11? 0.1 Let n = 397 - 398. Which is the closest to n? (a) 0.7 (b) 13 (c) 2 a Let m = 16.3 - 16.4. Suppose -5*v + 0*z = 2*z - 10, -5*v + 15 = z. Suppose -2 = v*h + 6. What is the nearest to m in 0.5, -1, h? 0.5 Suppose 0 = 3*q - 2*o + 4*o + 1, 3*o = 5*q + 8. Let i be (6 - 2) + -5 + 2. What is the closest to 2 in q, -1/2, i? i Let y = -35.9 + 36.3. Which is the closest to 0? (a) 2/11 (b) -2 (c) y a Let z = -107 + 74. Let k = 0.034 + 30.966. Let l = k + z. What is the closest to -2/51 in 4, -0.3, l? -0.3 Suppose w + 3*w + 29 = 3*j, -32 = -4*j + 2*w. Let m = j - 27/4. What is the nearest to m in -1, 1/4, 4/9? 1/4 Let r = -0.1343 + 0.1343. Let g be 1/4 + 26/(-8). What is the nearest to g in r, 2/3, -2? -2 Let m = 22.9044 - -0.0956. Which is the nearest to m? (a) 0.2 (b) -2 (c) -1 (d) 5 d Let o = 284/945 + -2/135. Let g = 0.38 - 4.38. Which is the closest to 2? (a) g (b) o (c) -3 b Suppose -4*g + 3*g + 1 = 0. Let x be 4/(-5) - (-4 + (-306)/(-105)). What is the closest to g in 0.5, 0.3, x? 0.5 Let z(g) = -2*g - 6. Let s be z(-4). Suppose 0 = -p - s*p. Let o be 1 - (-6 - p)/2. Which is the nearest to -0.1? (a) o (b) -3/5 (c) 2/15 c Let i(j) = j**2 - 4*j. Let h be i(3). Let r(q) = -q**2 - q - 1. Let w be r(-1). Let p = 871/1953 + -1/651. Which is the nearest to h? (a) w (b) 3 (c) p a Let v = -174 - -701/4. Let t be (-2)/5*(-10)/14. Let d = 21.56 + -21.26. Which is the closest to t? (a) v (b) d (c) -2 b Suppose -4*y - 16 = -2*d - 2*d, -4*d = -12. Let l = 0.3 - -0.2. What is the closest to 1 in y, l, -2/11? l Let w = -73.5822 - 0.0178. Let z = 74 + w. Which is the closest to -12? (a) 2/7 (b) z (c) 0.5 a Let q = -344 + 345. What is the nearest to q in 1, -2/13, -2? 1 Let v = -363 + 358.91. Let m = v - -0.09. Let k = -0.193 - 2.807. What is the nearest to -1/5 in -0.1, k, m? -0.1 Let h = 2715 + -2672. Which is the closest to h? (a) 2/17 (b) -0.2 (c) 0.3 c Let f = -0.237 + 0.137. What is the closest to 2 in f, 2, -2? 2 Let m be (-4 + 189/49)*5. Which is the closest to 0? (a) m (b) 0 (c) 16 b Let k = -0.1 - -0.1. Let c = -1/157 - -167/1570. Suppose 0 = -8*f + 6*f - v - 12, 5*f - 2*v = -12. What is the closest to 0 in k, c, f? k Let i be 2 - ((-39)/26)/(242/(-320)). Which is the closest to 0? (a) i (b) -0.1 (c) 0 (d) 0.2 c Let x be -7 - -5 - (-1142)/8. Let v = 141 - x. Which is the closest to v? (a) -0.07 (b) -2 (c) 0.1 c Let r = -81.6 + -200.4. What is the nearest to 1 in 0.3, r, 2/9? 0.3 Let x = 81.3 - 77.3. What is the nearest to -0.3 in 8, -2/9, x? -2/9 Let d = -1.9 + 2. Suppose -3*l - 3*c + 5 = -7, -c + 3 = 0. Let u = -3 - 1. What is the closest to l in u, 0.5, d? 0.5 Let y = 19.5 - 10. Let j = y - 11. Let x = -1.2 - j. Which is the closest to 5? (a) x (b) 2 (c) 0 b Let x(t) = t**2 + t. Let a be x(0). Let q = -414 - -413.6. What is the closest to a in q, 4, 1? q Suppose -2*u = 2*l + 10, 2*u + 8 - 4 = 0. What is the closest to -1 in 0, 0.5, l, -4? 0 Let w = -64.08 + 64. Let t = w - 0.42. Let x = 72 + -721/10. What is the nearest to -1/4 in t, -4, x? x Suppose -2*o = -0*o. Let m = -3.5 - -8.3. Let v = m - 5. What is the closest to o in 0, 3, v? 0 Let g = 296 + -296.4. Let i = -31 + 31.1. Which is the nearest to 2/11? (a) 0.4 (b) g (c) i c Let k = -56 + 59.21. Let p = -0.21 + k. Which is the closest to -1/3? (a) p (b) 2/7 (c) -3/2 b Let u = -1.96 - 0.04. Let o = u - -2.1. Let r = -0.022 - -0.022. Which is the nearest to -1? (a) r (b) 1 (c) o a Let x = -752.9 - -753. Which is the closest to x? (a) -0.3 (b) -3 (c) 5 a Let s = 0.3899 - 0.3899. Let l be ((-4)/(-10))/1*1. Which is the closest to -0.1? (a) l (b) s (c) 23 b Let u = -4.4 - -1.4. Let p = 0.643 + -0.243. Which is the closest to -2? (a) p (b) u (c) -0.3 b Let t = -0.3087 + 0.1087. Which is the nearest to t? (a) -6 (b) -0.11 (c) 1 b Suppose 3*a - 7*a = -20, 0 = 5*x - 5*a + 50. Let p = -1.8 - -1.7. What is the nearest to -2 in p, 3, x? p Let c = -2.9644 + -0.0356. What is the nearest to -1 in 4, c, 1/3, -2/9? -2/9 Let y = -130 + 131. Let q = -5 + 8. Let z = y - q. Which is the nearest to 1? (a) z (b) -0.2 (c) 3 b Let x = 19 - 17. Let g = -4.8 - -2.1. Let a = g
{ "pile_set_name": "DM Mathematics" }
-6). Factor 36*j**2 - 8*j - h - 4 - 38*j**2. -2*(j + 2)**2 Suppose -u + 2*x + 855 = 847, 4*u = x + 11. Factor -32*v - 1/2*v**3 - 8*v**u + 0. -v*(v + 8)**2/2 Let d(y) be the first derivative of -y**4/24 + 94*y**3/9 - 2300*y**2/3 + 16928*y/3 - 222. Factor d(h). -(h - 92)**2*(h - 4)/6 Let d = -10966 + 10969. Let q(t) be the first derivative of 3/8*t**2 - 1/3*t**d + 10 + 1/4*t. Determine v, given that q(v) = 0. -1/4, 1 Let g(c) = -2004*c + 84170. Let u be g(42). What is x in -33/4 + 33/4*x**u - 3/4*x**3 + 3/4*x = 0? -1, 1, 11 Suppose -92/3*w**2 - 2/3*w**3 - 1216/3 - 640/3*w = 0. What is w? -38, -4 Let y(n) = 15 + 34 - 2*n - 3 - 8. Let l be y(18). Find f such that 2*f + l*f**3 + 0*f**2 + 85 - 4*f**2 - 85 = 0. 0, 1 Find k, given that -2/7*k**2 - 2944/7 + 1476/7*k = 0. 2, 736 Let t(k) be the first derivative of 2*k**6 + 112*k**5/5 + 48*k**4 - 56*k**3/3 - 102*k**2 - 56*k - 6635. Solve t(p) = 0 for p. -7, -2, -1, -1/3, 1 Let j = 3600 + -3593. Let b(g) be the second derivative of 0 + 1/5*g**6 - 3/20*g**5 + 0*g**4 - 12*g + 0*g**3 + 0*g**2 - 1/14*g**j. Factor b(a). -3*a**3*(a - 1)**2 Let h(g) be the third derivative of 0 + 2*g + 0*g**3 - 40*g**2 + 1/30*g**5 + 2/21*g**4 - 1/420*g**6. Factor h(z). -2*z*(z - 8)*(z + 1)/7 Suppose 76663 - 19255 = 23*u. Let k be 996/u - 6/(-96). Factor -k*o**2 + 0 - 16/13*o. -2*o*(3*o + 8)/13 Let a(h) = -24*h**3 + 438*h**2 + 778*h - 216. Let v(b) = -20*b**3 + 435*b**2 + 777*b - 217. Let u(x) = 3*a(x) - 4*v(x). Solve u(n) = 0 for n. -2, 1/4, 55 Let r = 12346 + -12306. Let z(g) be the second derivative of 0*g**2 + 1/15*g**3 - r*g + 0 - 13/60*g**4. What is y in z(y) = 0? 0, 2/13 Let r(i) = 11*i**4 + 5*i**3 - 13*i**2 - 68*i + 60. Let k(a) = -2*a**4 + 3*a. Let c(t) = -5*k(t) - r(t). Find h such that c(h) = 0. -5, -4, 1, 3 Let g be (-166)/(-6) + (551 - 34)/(-47). Let x(k) = -k**2 + k + 2. Let y be x(2). Solve 6*c**4 + y + 8*c**2 + g*c**3 - 8/3*c = 0. -2, -1, 0, 2/9 Suppose 4*z - 498 = -2. Determine s, given that 3 + z*s + 27*s**3 - 3*s**5 - s**2 + 34*s**2 - 112*s - 3 + 3*s**4 = 0. -1, 0, 4 Suppose -38*p = -47*p + 45. Suppose 5*z - 8*g + 2 = -10*g, 5*g + p = 4*z. Factor 9/7*f**3 + 6/7*f + z + 15/7*f**2 - 3/7*f**5 - 3/7*f**4. -3*f*(f - 2)*(f + 1)**3/7 Suppose -2*p + 3328 = -18*p. Let v = 1460/7 + p. What is i in 8/7*i + 16/7*i**3 - v*i**4 - 20/7*i**2 + 0 = 0? 0, 1, 2 Let o = 13084857/403855 - -9/80771. Solve -336*l - 4/5*l**3 - 160 - o*l**2 = 0. -20, -1/2 Suppose 6*d + z = 4*d - 17, z + 37 = -4*d. Let h be d/68 - 5/(-10)*1. Determine m so that -14/17*m**2 - 6/17*m**3 + 10/17*m**4 + h*m + 4/17 = 0. -1, -2/5, 1 Suppose 0 = -76*x - 6 + 16 - 10. Let s(p) be the third derivative of 0*p + x + 11*p**2 + 2/3*p**3 - 1/60*p**5 - 1/8*p**4. Factor s(t). -(t - 1)*(t + 4) Solve -q**2 + 89 + 241*q + 77 + 160 - 84 = 0 for q. -1, 242 Let x(f) = f**2 + 6*f - 67. Let w be x(6). Suppose -w*u + 4 = 2*t, -u - 4*t = -3*t + 1. Factor 0*b + 1/4*b**3 + 0*b**u + 0. b**3/4 Let q(z) = z**4 - 2*z + 1. Let f(p) = 5*p**4 + 2*p**3 + 5*p**2 - 18*p + 6. Let s(g) = f(g) - 6*q(g). Factor s(j). -j*(j - 3)*(j - 1)*(j + 2) Let o = 45 + -43. Factor -5*l**4 + 10*l - 7*l + 8*l**4 + 18*l**3 + 27*l**o + 9*l. 3*l*(l + 1)**2*(l + 4) Let t be -3 + 1 - -3 - (-64 - -63). Let -145*b + 90 + 80*b**5 + 1177*b**3 + 680*b**4 + 970*b + 2320*b**t + 828*b**3 = 0. Calculate b. -3, -2, -1/4 Let u = 283 + -280. Let p(f) = 31*f**3 + 68*f**2 - 53*f - 254. Let j(s) = 11*s**3 + 23*s**2 - 18*s - 84. Let w(q) = u*p(q) - 8*j(q). Find z such that w(z) = 0. -3, 2 Let a(s) be the first derivative of -s**5/4 + 5*s**4/6 - 5*s**3/6 - 151*s - 5. Let z(o) be the first derivative of a(o). Let z(i) = 0. Calculate i. 0, 1 Let y = -8264590/9 + 918288. Determine s, given that 0 - 2/9*s**5 + 16/3*s + 44/9*s**3 + 88/9*s**2 + y*s**4 = 0. -2, -1, 0, 6 Let p(l) be the second derivative of l**4/36 + 11*l**3/6 + 16*l**2/3 + 7*l - 216. Factor p(z). (z + 1)*(z + 32)/3 What is v in 261 - 1266797*v - 2*v**2 + 201 + 1266849*v = 0? -7, 33 Determine x so that 15*x**4 - 379025*x**2 + 1250*x**3 + x**5 + 10172*x - 6*x**5 + 365515*x**2 - 32585 + 34663*x = 0. -19, 1, 7 Let g be (-6)/10*(-120)/288. Factor -1/4*x + g*x**2 + 0. x*(x - 1)/4 Determine y, given that 184 + 3364/5*y - 653/5*y**4 + 2382/5*y**2 + 6*y**5 - 961/5*y**3 = 0. -2, -5/6, -2/5, 2, 23 Let x(o) be the second derivative of -o**4/30 + 454*o**3/15 - 453*o**2/5 - 2343*o. Factor x(a). -2*(a - 453)*(a - 1)/5 Let z(m) be the second derivative of -1/126*m**4 + 0*m**2 + 1/210*m**5 - 65*m + 0 - 2/63*m**3. Factor z(n). 2*n*(n - 2)*(n + 1)/21 Let l(t) = 41*t**4 - 293*t**3 + 403*t**2 - 176*t - 5. Let y(p) = 22*p**4 - 146*p**3 + 202*p**2 - 88*p - 2. Let f(u) = -2*l(u) + 5*y(u). Solve f(o) = 0. 0, 1, 22/7 Suppose 0 = 4*z + 4*m + 33 + 7, -2*z + m = 5. Let y(x) = x**4 - 8*x**3 + 23*x**2 - 32*x + 16. Let p(s) = s**2. Let b(r) = z*p(r) - 5*y(r). Factor b(i). -5*(i - 2)**4 Suppose -1/5*i**4 - 498/5*i**2 + 8*i**3 + 352*i + 2299/5 = 0. Calculate i. -1, 11, 19 Let g be (4/36 + (-2)/9)/(1318/(-7908)). Find d such that -g + 35/3*d**5 - 19/3*d + 52/3*d**4 - 50/3*d**2 - 16/3*d**3 = 0. -1, -2/7, -1/5, 1 Let v(b) be the first derivative of -7*b**5/12 - 25*b**4/24 + 5*b**3/3 - 11*b**2/2 + 103. Let t(w) be the second derivative of v(w). Factor t(x). -5*(x + 1)*(7*x - 2) Let s(b) be the third derivative of 5/42*b**7 + 0*b**4 + 1/12*b**6 - 2/3*b**5 + 0*b + 5/336*b**8 + 0 + 130*b**2 + 0*b**3. Factor s(r). 5*r**2*(r - 1)*(r + 2)*(r + 4) Let q(f) be the first derivative of f**3 - 111*f**2/2 + 1008*f - 1639. Factor q(j). 3*(j - 21)*(j - 16) Find r such that 2/7*r**5 + 0 - 6/7*r**3 - 68/7*r**2 + 24/7*r**4 + 48/7*r = 0. -12, -2, 0, 1 Let l = 250232 - 250229. Factor -32/9*k**2 + 16/9*k**l + 64/9 + 4/9*k**4 - 2/9*k**5 - 32/9*k. -2*(k - 2)**3*(k + 2)**2/9 Let l(o) be the second derivative of 61*o + o**2 + o**3 + 1/2*o**4 + 1/10*o**5 + 0. Find d such that l(d) = 0. -1 Suppose -97*i + 90*i = -14. Let -111*q**i + 68*q**5 + 350*q**4 - 313*q**5 - 40 - 199*q**2 - 260*q + 505*q**3 = 0. Calculate q. -1, -2/7, 1, 2 Let p(u) be the third derivative of -47*u**2 + 0*u + 5/12*u**4 + 1/60*u**5 + 0 + 25/6*u**3. Determine c, given that p(c) = 0. -5 Suppose h + w - 10 = 0, -2*w - 15 = h - 6*w. Solve 13*t - 27 - 29*t + t**2 - 2*t - 3*t - h*t = 0 for t. -1, 27 Let k(z) be the second derivative of -z**6/10 - 9*z**5/5 + 21*z**4/4 + 46*z**3 - 234*z**2 - 5852*z. Factor k(j). -3*(j - 2)**2*(j + 3)*(j + 13) Let c = -7662 - -22987/3. Suppose 2/3*p**4 + 5/6*p**3 + c*p**2 + 1/6*p**5 + 0 + 0*p = 0. What is p? -2, -1, 0 Let f(m) = 11*m**2 + 162*m + 412. Let g(i) = -10*i**2 - 155*i - 410. Let v(u) = 5*f(u) + 6*g(u). Solve v(h) = 0 for h. -20, -4 Let d = 37/1438 + 645/2876. Determine x, given that -3/4*x**2 - 1/4*x**4 - 3/4*x**3 - d*x + 0 = 0. -1, 0 Suppose w - 43 + 41 = 0. Factor -231*s**w + 83*s**2 - 361 - 359 + 720 - 14*s**4 - 130*s**3 - 32*s. -2*s*(s + 1)*(s + 8)*(7*s + 2) Let a(v) = -v**5 - v**4 - v**3 + v**2 + 1. Let o(c) = -35*c**5 - 355*c**4 + 1320*c**3 - 2020*c**2 + 1375*c - 315. Let l(u) = 30*a(u) - o(u). Factor l(s). 5*(s - 1)**4*(s + 69) Let i(v) = -19*v**2 - 4*v. Let b(l) = 9*l**2 + 3*l + 1. Let a(s) = -9*b(s) - 4*i(s). Let m(f) = -f**2 - 3*f - 2. Let h(k) = 2*a(k) - 9*m(k). Factor h(p). -p*(p - 5) Let v(o) be the third derivative of 17*o**4/24 - 16*o**3/3 + 21*o**2 - 2. Let c be v(2). Solve 11/8*q**c + 7/8*q + 5/8*q**3 + 1/8 = 0. -1, -1/5 Determine r so that 359*r**2 - 12*r**4 + 717*r**2 + 836*r**2 + 228*r**2 - 6416*r**3 = 0. -535, 0, 1/3 Let a(k) be the first derivative of 106 - 5/4*k**4 - 25/3*k**3 + 0*k - 10*k**2. Determine u, given that a(u) = 0. -4, -1, 0 Let n(k) = 5 + k**2 - k + 19*k - 7*k**2. Let t(x) = -14*x + 11*x - 1 - 280*x**2 + 281*x**2. Let s(m) = -6*n(m) - 34*t(m). Find v such that s(v) = 0. 1, 2 Suppose 55 + 20 = -5*b. Let s be ((-54)/b)/((-4)/(-10)). Factor s*n - 3*n - 14*n**4 - 6*n - 10*n**3 + 4*n**2. -2*n**2*(n + 1)*(7*n - 2) Factor 1472/7 + 4/7*x - 1472/7*x**2 - 4/7*x**3. -4*(x - 1)*(x + 1)*(x + 368)/7 Solve 32 - 1/4*h**2 - 7*h = 0 for h. -32, 4 Let b = -101/221335 + -2326522973/814955470. Let w = 1/526 - b. Factor 12/7*o**2 + w - 64/7*o. 4*(o - 5)*(3*o - 1)/7 Let k(a) be the first derivative of 74*a**3 + 29/4*a**4 + 70*a**2 + 73 + 1/5*a**5 - 392*a. Suppose k(h) = 0. What is h? -14, -2, 1 Let x be 32/48*3
{ "pile_set_name": "DM Mathematics" }
fy (((d/(d/(d/d**(-2/5))))**4)**(-36))**(-1/40) assuming d is positive. d**(126/25) Simplify (o**(-2))**(-28)/(o*o/o**8)**35 assuming o is positive. o**266 Simplify ((z**(7/3)/(z/(z**13/z)))/((z/(z*(z*((z**(1/14)*z)/z)/z*z)/z))/z**(-11)))**48 assuming z is positive. z**(808/7) Simplify ((w**37*w*w)/(w/((w*w**27)/w)))/(w**0)**(-4/25) assuming w is positive. w**65 Simplify (m*m/m**(-2/25)*m*m**(-30))/(m/(m*m**(-4/9)/m)*m**(-1)) assuming m is positive. m**(-6157/225) Simplify (l**(4/7)/l**(-7)*(l/l**(-3))**44)**(-35) assuming l is positive. l**(-6425) Simplify c*((c**16/c)/c)/c*c**(-7/6)*c*(c*c/c**4)/c**(1/9) assuming c is positive. c**(211/18) Simplify ((w*w*w*w**1)**8/(w/((w/(w**(2/15)/w))/w*w)*w**(-4/9)*w))**(-38) assuming w is positive. w**(-55252/45) Simplify (h**2/h)**47*(h/((h/(((h/h**(1/15))/h*h)/h))/h))/((h*h**(-5/8))/h*h) assuming h is positive. h**(5707/120) Simplify (y/(y*y**(-2/5)*y))**(-1/5)/(y**11/y*(y*y*y**(-3/5))/y) assuming y is positive. y**(-257/25) Simplify (o**10/(o**14*o))/((o*o/(o*o**9))/o**(-7)) assuming o is positive. o**(-4) Simplify (f**0*f)**(-1/10)*f**(2/33)*f**1 assuming f is positive. f**(317/330) Simplify (v**11/v**(1/3))/(v**(-3))**(-2/25) assuming v is positive. v**(782/75) Simplify c**(-15)/(c*c**(-12)/c)*(c**(-2/25))**32 assuming c is positive. c**(-139/25) Simplify (k/((k/(k**(-23)/k*k))/k))/(k**(-19)/k)*(k**13*k)/k**(9/5) assuming k is positive. k**(51/5) Simplify (r/r**(2/17))**(-3/7)*r**(14/9)*r*r**10 assuming r is positive. r**(13042/1071) Simplify (m**1)**(-35)/(m**9*m*m*m**(1/4)) assuming m is positive. m**(-185/4) Simplify ((n*n*n**(-2)*n*n**2/n)/((n*n**(4/5))/n*((n**6*n)/n*n)/n))**(7/10) assuming n is positive. n**(-84/25) Simplify (t**(-3/4)*t/t**(-2/13))/((t*t*t/(t**(19/5)*t))/((t/(t/t**(-6/11))*t)/t)) assuming t is positive. t**(4743/2860) Simplify ((r*(((r**(1/5)/r)/r)/r)/r)/r)**(-8/11)*(r*r/(r**(-10/3)/r)*r)/r*r**(-2) assuming r is positive. r**(1171/165) Simplify t**(2/23)/(((t**(-5/3)*t)/t)/t)*t*t**(-13)*t**(-2/11) assuming t is positive. t**(-7156/759) Simplify ((m*m**(-1)/m)**24*((m**(-4/9)/m)/m)/m*m*m*(m*m**(2/7))/m)**(-4) assuming m is positive. m**(6340/63) Simplify ((y**(7/2)*y)/y)/(y/((y/(y**0*y))/y))*(y/(((y**(-2)/y)/y*y)/y*y*y))**(-10/9) assuming y is positive. y**(-11/6) Simplify ((((d*d**(2/19))/d)/d)/(d/d**15))/(d**6/d*(d/d**(-2))/d) assuming d is positive. d**(116/19) Simplify (f**(-3/5)*f)/f**(2/3)*(f**1)**(2/7) assuming f is positive. f**(2/105) Simplify ((v*v/v**(-12)*v/((v*v**(-3)*v)/v))/(v/v**(1/6)*v**(-2/5)))**(-27) assuming v is positive. v**(-4473/10) Simplify ((j**(1/7)/j)/j**(3/11))/(j**(11/4)*j*j/j**(-5/3)) assuming j is positive. j**(-6973/924) Simplify y**11/(y*y*y*y**15)*(y/(y*(y**(-1/5)/y)/y))/y*y*y**5/y*y assuming y is positive. y**(1/5) Simplify ((((r/(r*r/(r**(-11)/r)))/r)/r*r*r*r*(r**(-3)/r)/r*r)/(r**(-2)*r*r/r**(-5/3)*r))**15 assuming r is positive. r**(-280) Simplify ((b**1*b)**22*b**(-8)/(b/b**7*b))**(-25) assuming b is positive. b**(-1025) Simplify (n**(-12))**(-5/16)*n*n**7*n*((n*n/(n**(5/3)*n))/n)/n assuming n is positive. n**(121/12) Simplify ((p*p**2*p*p)/(p/(p/(p**5*p))))/(((p*p**(4/9)/p)/p)/p*(p/(p*p**6))/p) assuming p is positive. p**(68/9) Simplify i/i**14*i*(i*(i/i**(-5))/i)/i*(i*i**4*i)**38 assuming i is positive. i**221 Simplify d**(-14)/(d/(d*(d*d**(-2/25))/d))*((d/((d*d/d**(-1/14))/d))/d)**5 assuming d is positive. d**(-6803/350) Simplify ((j*j*j*j**(1/11)*j)/j)**21*(j/(j**(2/3)*j))**(-4/5) assuming j is positive. j**(10798/165) Simplify ((c**(1/5)*c*c)/c)**(-20/9)/(c**(3/4)/c*c*c/c**(7/6)) assuming c is positive. c**(-13/4) Simplify ((o**(-2))**(21/5)/(o**0)**43)**14 assuming o is positive. o**(-588/5) Simplify ((((m*m**6)/m)/m)/(m/((m**(-5)*m)/m))*(m**(-1)/m)**13)**47 assuming m is positive. m**(-1269) Simplify u*u**(2/19)*u**(2/25)*u*(u*u**(-11/2)/u)/u*u*u/u**(4/15) assuming u is positive. u**(-7357/2850) Simplify ((((j*j*j**2)/j)/((j/j**(-3))/j))/(j**(-1/3)/(j**(-5)*j)))**(-1/21) assuming j is positive. j**(11/63) Simplify ((i*i*i**3*i*i**(2/11)*i*i)/(i*i**(-2/7)*i/(i*i**(-2/7))*i*i))**(-44) assuming i is positive. i**(-228) Simplify (n*n*n**(10/13)*(n/(n*n**(4/5)))/n)/(n**(1/2)/n)**(-29) assuming n is positive. n**(-1759/130) Simplify p**(-1/8)/(p*p**(-7))*(p**(-3))**(5/4) assuming p is positive. p**(17/8) Simplify (z**(-1/2))**(-2/63)/(z**(-1/4)*(z/((z*z/z**(-17))/z)*z)/z) assuming z is positive. z**(4351/252) Simplify ((b**(-1))**(-1/2)/(b**(-2/5)*b*b*b/(b/(b/b**(-2/9)*b)*b)))**(1/17) assuming b is positive. b**(-209/1530) Simplify ((f**(-1))**(-27)*f**(5/3)*(f**(-2/21)*f*f*f)/f)**(-19) assuming f is positive. f**(-4066/7) Simplify (b*(b*b/b**(-3/5)*b)/b)**(2/121)*(b/b**(-19))/b*b*b**(-12) assuming b is positive. b**(4876/605) Simplify (((k*k/(k/((((k/k**(1/8))/k)/k)/k)))/k)/(k*k*k**(-2/13))*k**7/k**(-2/7))**(1/15) assuming k is positive. k**(2413/10920) Simplify ((q*q**(-15/2)*((q/q**(-29))/q*q)/q)**(4/9))**50 assuming q is positive. q**500 Simplify ((a**14/a)/(a/(a*((a/(a/a**12*a*a))/a)/a*a*a)))/((a*a*a/(a*((((a**(-3/11)/a)/a)/a)/a)/a))/a**15) assuming a is positive. a**(338/11) Simplify (d**4/d**(-8))**(-1/2) assuming d is positive. d**(-6) Simplify ((((k*k**(-1/6)*k*k)/k)/k*k)/(k*k*k/k**(-2)))/(((k*k**(1/3))/k)/((k**(2/9)/k)/k)) assuming k is positive. k**(-95/18) Simplify n**(-12)*n**(-2/5)*n**(-4/11)/n**(4/5) assuming n is positive. n**(-746/55) Simplify c*c**(-3/10)/c*c**(-3)*c*((c*c/((c**0/c)/c))/c)/c*c*c**(-13)/c assuming c is positive. c**(-133/10) Simplify (o**(-17)/o)/(o/(o*o**(-4)))*(o/(o**4/o*o)*o)/o*o**(-1) assuming o is positive. o**(-26) Simplify (m**(-5)*(m*(m/(m**(-15)/m))/m*m)/m)/((m*m/m**(-2/13))/m)**3 assuming m is positive. m**(111/13) Simplify c/(c**(-5)*c)*c*c/(c**11*c*c)*c**(-3)*c**6*c assuming c is positive. c**(-2) Simplify (g/(g*g*g*g**16))/(g**30/g)*(g*g**(-4))/(g/(g*(g*(g/(g*g/(g*g**6)))/g)/g)) assuming g is positive. g**(-45) Simplify (o**(-2)/o**6)/(o**13*o/(o**(2/7)/o)) assuming o is positive. o**(-159/7) Simplify ((c/c**(-2/35))/c)**(-7/4)*(c**(2/15))**(-1/8) assuming c is positive. c**(-7/60) Simplify (l*l/(l*l*l/(l*l*l/(l/(l/(l*l**(-2/5)))))*l)*l*l**(-2/7)/l*l*l*l*l**(-5)*(l/(l/(l*l**(1/6)*l)))/l)**(-4) assuming l is positive. l**(302/105) Simplify (x**(3/2)/x**(-1/3)*(x**(-3))**10)**17 assuming x is positive. x**(-2873/6) Simplify (w*w*w**(3/7))**(-9)*w*w*w/(w/((w*w/w**(-13)*w)/w*w))*w**(1/17) assuming w is positive. w**(-452/119) Simplify (y*y/y**(-2))**5/(y**(-7/4)*y**(-4/3)*y) assuming y is positive. y**(265/12) Simplify (j**(-36)/(j*j**8))**(2/5) assuming j is positive. j**(-18) Simplify (((z**17)**(-1/10))**(1/15))**(-15) assuming z is positive. z**(17/10) Simplify ((d**(-30)*d)/(d*d**28*d))**(2/9) assuming d is positive. d**(-118/9) Simplify (q*q**(-16))**(9/4)/(q/q**6*q/(q/(q/q**15))) assuming q is positive. q**(-59/4) Simplify (((l/((l/l**(-2/3))/l))/l)**(-1/43)*l**(-3/2)/l**(-2))**(-20) assuming l is positive. l**(-1330/129) Simplify (r*r**7*r*r)**(1/6)*(r**(2/5)*r)/((r**(6/13)*r)/r) assuming r is positive. r**(508/195) Simplify (h**(-5/8)/h**(-3))/((h*h**(5/2))/h*h*h/((h/(h/(h/(h*h**(-3/14)))))/h)) assuming h is positive. h**(-163/56) Simplify (k**(-3))**46/((k/k**(-25/2))/(k/(k*(k*k**(-12))/k))) assuming k is positive. k**(-279/2) Simplify (h/((h**0/h)/h))**(4/17)*h**(-10)/(h/h**(-2)) assuming h is positive. h**(-209/17) Simplify ((v*v*(v*v*v**(-16))/v*(v**(-1)*v)/v)**39)**(1/22) assuming v is positive. v**(-273/11) Simplify (u*u*(u*u**6)/u*u)**(-29)/(((u**(13/3)/u)/u)/u)**(-22/9) assuming u is positive. u**(-6959/27) Simplify ((v/(v**(3/5)*v))/v)/(v**(2/7)/v)*(v**2)**(3/23) assuming v is positive. v**(-503/805) Simplify ((b**(-6)/(b**(1/6)*b))**(-1/3))**(-15) assuming b is positive. b**(-215/6) Simplify n**(-14)/n*n**(2/7)*(n/(n/(n/((n/(n/(n**(-13)/n)))/n)))*n)/n**8 assuming n is positive. n**(-40/7) Simplify y**(-9)/y**(1/9)*((y/(y/(y/((y*y*(y**(-2/11)*y)/y)/y*y)*y)))/y)/(y/y**(-9)*y) assuming y is positive. y**(-2072/99) Simplify (((d/((d/(d/d**(-6)))/d))/d)/(d**(2/31)/d)*(d**(2/3))**(-2/17))**(2/37) assuming d is positive. d**(24844/58497) Simplify ((g**5*g)/g)**(-11)/(g/g**9*g)**0 assuming g is positive. g**(-55) Simplify (l**(-33)*l**(15/2)*l)**(-1/5) assuming l is positive. l**(4
{ "pile_set_name": "DM Mathematics" }
27 Let h = 196 + -159. List the prime factors of h. 37 Suppose -7*o + 9*o + 2*a = 7030, 2*a = -o + 3518. List the prime factors of o. 2, 439 Suppose 0*d + 26 = -2*d - l, -3*l = 0. Let z = d + 18. Suppose 8*u = z*u + 6. List the prime factors of u. 2 Let t be (-1)/((-3)/12) + 224. Suppose -2*z + t + 28 = 0. Suppose -3*o - z = -4*i, 15 = -3*i - o + 124. What are the prime factors of i? 5, 7 Let y(t) = 16*t**2 + 11*t + 1. Let d = 108 + -104. List the prime factors of y(d). 7, 43 Let z(u) = 41*u**2 - 70*u + 9. List the prime factors of z(9). 2, 3, 5 Suppose 0 = -6*w + 1331 + 457. List the prime factors of w. 2, 149 Let c be (-5*1)/(9/54). What are the prime factors of ((-88)/(-55))/((-4)/c)? 2, 3 List the prime factors of 159072/112 + (-4)/14. 2, 5, 71 Let c be (-15)/(-10)*8/6. Let f = -78 + 85. Let u = f - c. List the prime factors of u. 5 Let t be 4/10 + 9086/35. Let f = -24 - -24. Suppose f = 5*p - p - t. What are the prime factors of p? 5, 13 Suppose -m = -5*o + 17148, -20*m = -o - 15*m + 3420. What are the prime factors of o? 2, 5, 7 Let q be 168/16*2*(-1)/(-1). Suppose q = m - 27. What are the prime factors of m? 2, 3 Let z be -3*(-2 - (-2)/3). Let x(y) = -647*y**3 - 3*y + 5*y - 4*y + 646*y**3 + 5*y**2 + 9. What are the prime factors of x(z)? 17 Suppose w - m - 295 - 581 = 0, w = 4*m + 864. List the prime factors of w. 2, 5, 11 Let k(d) = -d**2 - 6*d + 16. Suppose 16 = -3*z + 1. What are the prime factors of k(z)? 3, 7 Suppose 2*s - 3807 = -5*x, -854 + 89 = -x - 4*s. List the prime factors of x. 761 Let h be -8*5/(40/(-12)). Let l = 18 - h. What are the prime factors of 4/l + 19/3? 7 Let w(g) = g**2 - g + 8. Let t be w(6). Suppose -40 = -5*c + 5. Suppose t = 3*f - 0*f - 2*q, -3*q = f - c. What are the prime factors of f? 2, 3 Let s(f) = -f**3 + f**2 - f + 116. Let y be s(0). Suppose -3*t + y = 4*v - 10, 5*v - 77 = -2*t. What are the prime factors of t? 2, 23 Suppose -20*z = -18*z - 522. Suppose 9*v - 153 = 7*v - 5*f, -z = -4*v - f. List the prime factors of v. 2 Let j(r) = 4*r**2 - 3*r + 6 - r + r + 3. What are the prime factors of j(5)? 2, 47 Suppose 0 = -10*i + 8*i. Suppose 5*k - 332 = -3*t, i*k = -k + 5*t + 72. List the prime factors of k. 67 Let z = 1 - -4. Suppose y + z*s = 3*s - 5, -5*s = -y + 16. List the prime factors of y*(3 + -2) + 8. 3 Let s = -9 - -14. Suppose -s*f + 505 = -0*f. What are the prime factors of f? 101 Let x(n) = -n**3 + 10*n**2 + 34. Suppose -5*h = -2*c - 3*c - 55, 0 = -h - 2*c + 8. What are the prime factors of x(h)? 2, 17 Suppose -60*l - 1989 = -73*l. List the prime factors of l. 3, 17 Suppose 5*r + 44 = r. Let p(l) be the second derivative of -l**5/20 - l**4 - 2*l**3 + 11*l**2/2 - 12*l. List the prime factors of p(r). 2, 11 What are the prime factors of (142 + -146)*1194/(-8)? 3, 199 Let i(t) = -35*t + 5. Let w be (-1 + 5)/((-1)/(5/10)). List the prime factors of i(w). 3, 5 Suppose 17*x - 23*x = -1980. What are the prime factors of x? 2, 3, 5, 11 Let n(f) = 9*f**2 + 7*f + 163. What are the prime factors of n(9)? 5, 191 Suppose 14229 = 69*l - 60*l. What are the prime factors of l? 3, 17, 31 Let b be (3 - 9/3)/2. Let o(n) = n**3 + n + 2. Let a be o(b). Suppose j + 23 = a*j. What are the prime factors of j? 23 Let s(o) = o - 3. Let k be s(5). Suppose -4 = -k*g - 0. Suppose g*n = -5 + 31. List the prime factors of n. 13 Let i be (-2)/2*(-4)/4. Let f be (2 - 19/i) + 1. Let p = f - -39. List the prime factors of p. 23 Suppose 8*c - 12*c = -y + 1023, -4*c + 4192 = 4*y. What are the prime factors of y? 7, 149 Let i(x) = 16*x + 5. Let s be i(6). Let j = s + 1363. List the prime factors of j/28 - 10/35. 2, 13 Suppose 0 = -3*h - 5*p + 8347, 2*h - 4*p = h + 2805. List the prime factors of h. 2789 Suppose -h - 5*j = -10, 4*h - 4 = 2*h - 2*j. Suppose h = -k + 1 + 22. List the prime factors of k. 23 Let c = -53 + 67. Let p(o) = o**2 - 7*o + 23. List the prime factors of p(c). 11 Suppose -4*n - 5*t + 1236 = -1657, -15 = 5*t. What are the prime factors of n? 727 Let x = -900 + 1854. What are the prime factors of x? 2, 3, 53 List the prime factors of ((-72950)/(-100))/(1/4*2). 1459 Let w = -1787 - -3342. List the prime factors of w. 5, 311 Let x(v) = 9*v**2 + 6*v - 1. Let k be (-26)/(-10) + (-4)/(-10) - 9. What are the prime factors of x(k)? 7, 41 Let r(u) = -u**3 + 17*u**2 + 144*u + 23. List the prime factors of r(-13). 3221 Suppose 3*m - 1498 = 2*z, -2*m - 5*z + 3*z + 992 = 0. List the prime factors of m. 2, 3, 83 List the prime factors of ((502/6)/1)/((-143)/(-3861)). 3, 251 Let r(q) = -q**3 - 6*q**2 + 6*q - 1. Let z be r(-6). Suppose -2*o = -5*h + 26 - 8, 62 = -4*o - 3*h. Let s = o - z. What are the prime factors of s? 23 Let t = 151 + -74. Let l = 127 - t. Let v = -31 + l. What are the prime factors of v? 19 Suppose m + m = -32. Let x(t) be the first derivative of -t**4/4 - 17*t**3/3 - 19*t**2/2 - 17*t + 28. List the prime factors of x(m). 31 Suppose -2*d + 3*w = 194, d = -w - 75 - 27. Let b be d/40*(-2 - 0). Suppose b*p - 125 = 190. List the prime factors of p. 3, 7 What are the prime factors of 131 + 1 + 5 - 1? 2, 17 Let n = 1084 - 712. List the prime factors of n. 2, 3, 31 Let c(y) = -9*y**3 - 6*y**2 - 14*y - 7. What are the prime factors of c(-4)? 23 Let l(a) = a**2 + 3*a. Let b be l(-3). List the prime factors of (13 + (b - 4))*34/6. 3, 17 Let l(p) be the third derivative of 1/60*p**5 + 0*p + 13/6*p**3 + 0 + 13/24*p**4 - 12*p**2. List the prime factors of l(-13). 13 Let y(t) = -t**3 - 21*t**2 + 48*t - 4. What are the prime factors of y(-24)? 2, 11, 13 Let u(a) = -6*a**3 - a + 3. Let t be u(3). Let o = t - -273. List the prime factors of o. 3, 37 Suppose -125*o + 131*o = 20466. List the prime factors of o. 3, 379 Suppose 4*n + 0 = 8. List the prime factors of ((-3)/(-12))/(n/568). 71 Let t(f) = f**2 - 21*f + 10. Suppose 4*s + 3*z - 87 = 0, -3*z - 26 = -4*s + 55. List the prime factors of t(s). 2, 5 Let p be ((-2)/3)/((-2)/(-36)). Let q(r) = r - 13. Let c be q(12). List the prime factors of -20*((-9)/p)/c. 3, 5 Let t = -368 + 763. Let f = t + -282. List the prime factors of f. 113 Suppose -5*k = -5*a + 12660, a + 2557 = 2*a + 4*k. List the prime factors of a. 43, 59 Suppose -2*y + 5*l + 150 = 0, 0 = -y + 3*l + 33 + 43. Let u = y - -65. Suppose -5*n = 5*s - u, -2*s + 75 = 5*n - 54. What are the prime factors of n? 5 List the prime factors of (-2)/6 + (-2317)/(-6)*2. 2, 193 Suppose 0 = 2*b - 3*c + 11, 5*b - c = 3 + 2. Suppose 13 = 3*k + z, b*k - 5*z + 14 = -0*z. Suppose 126 = k*d - j - 3*j, 5*j = 0. List the prime factors of d. 2, 3, 7 What are the prime factors of (4 + -1)*(-19675)/(-75)? 787 Let p be -21 - -18 - (-147 + 0). Suppose 323 = -0*u + 2*u - 3*a, 2*a = -u + p. Suppose -3*f + 44 = -u. What are the prime factors of f? 2, 3, 11 List the prime factors of 32240/60*(-9)/(-6). 2, 13, 31 Suppose 2*b = 4*b + 4*z - 22, -z + 16 = 4*b. Let d(r) = -3*r**3 - 4*r**2 + 2*r. Let c be d(b). Let p = c + 155. List the prime factors of p. 2, 11 Suppose 5*t - 2362 - 2798 = 0. What are the prime factors of t? 2, 3, 43 Let z = 66 - 81. Let j(l) = -l**3 - 16*l**2 - 24*l - 28. What are the prime factors of j(z)? 107 Let z = 24 - 22. Suppose -z*t = 3*r - 169, 2*r + t + 4*t - 98 = 0. List the prime factors of r. 59 What are the prime factors of 284*(7/14 + -1 + 1)? 2, 71 Suppose 0 = 6*n + n - 5831. What are the prime factors of n? 7, 17 Suppose -408 = -q - 5*a, 0 = 4*q + 7*a - 12*a - 1707. List the prime factors of q. 3, 47 Let j(d) be the second derivative of d**3/6 + 12*d**2 + 8*d. List the prime factors of j(-10). 2, 7 Let t be (-23)/(-69)*(-1 - -1)*1. Suppose t = 3*l + 4*q - 462, -l + 184 = -q + 37. What are the prime factors of l? 2, 3, 5 Let s(t) = 4*t**2 - 9*t - 4*t**2 - t**2 + 2. Let r be s(-10). Let z = 15 + r. What are the prime factors of z? 7 Let z be 297/55 - 2/5. Suppose o + r = z*o - 1152, 0 = -3*o + 5*r + 847. List the prime factors of o. 17 Suppose -w - 18 = 5*a, a = 6*a - 5*w. What are the prime factors of 3/(-6) + (165/(-2))/a? 3 Let d = 24 + -21. Suppose -2*r + d*r - 54 = 0. List the prime factors of r. 2, 3 Let o be (-2 + 5)/((-10)/(-290)). Suppose 239 = 19*h + o. List the prime factors of h. 2 Let c = 958 - 633. What are the prime factors of c? 5, 13 Suppose -1863 = -3*x + p, 0 = -4*x - 5*p + 226 + 2258. List the p
{ "pile_set_name": "DM Mathematics" }
ate prob of sequence oo when two letters picked without replacement from eozzoffe. 1/28 Two letters picked without replacement from {x: 1, s: 1, l: 3, y: 2}. What is prob of sequence yl? 1/7 Calculate prob of sequence hh when two letters picked without replacement from {h: 2, c: 4}. 1/15 Calculate prob of sequence klll when four letters picked without replacement from kkcklkllkcl. 1/66 Four letters picked without replacement from qqqsjqqqjqqbjbjqqqj. Give prob of sequence jjsj. 5/7752 Two letters picked without replacement from gjgzgjzzjzjjz. What is prob of sequence gg? 1/26 Three letters picked without replacement from {k: 1, r: 6, x: 2, g: 4, j: 4}. Give prob of sequence xjg. 2/255 Two letters picked without replacement from {u: 2, q: 9}. Give prob of sequence qq. 36/55 What is prob of sequence pbb when three letters picked without replacement from ypyypbbyy? 1/126 Two letters picked without replacement from {z: 6, h: 3, y: 2, a: 2, s: 1}. Give prob of sequence za. 6/91 Three letters picked without replacement from {p: 4, g: 2, b: 1, w: 1}. Give prob of sequence wgb. 1/168 Calculate prob of sequence uz when two letters picked without replacement from zzzzzhuzuuuzzuzzu. 15/68 Four letters picked without replacement from {r: 5, q: 7, z: 5, v: 2}. Give prob of sequence zrqv. 175/46512 Two letters picked without replacement from nnukugnggguugug. Give prob of sequence kg. 1/35 Two letters picked without replacement from ggjgfgggjfjgggg. What is prob of sequence jg? 1/7 What is prob of sequence ujw when three letters picked without replacement from lujlwljulujll? 3/572 Calculate prob of sequence pyy when three letters picked without replacement from pppypyypppyy. 7/66 Three letters picked without replacement from gggvgbgggggvbvgem. Give prob of sequence gvb. 1/68 Calculate prob of sequence hy when two letters picked without replacement from bbbuhbucvbvybvbcu. 1/272 What is prob of sequence yp when two letters picked without replacement from {y: 4, l: 2, p: 3}? 1/6 Four letters picked without replacement from zonxxiixxiionxiiin. What is prob of sequence zinn? 7/12240 Two letters picked without replacement from rmziiykm. Give prob of sequence ii. 1/28 What is prob of sequence bonu when four letters picked without replacement from {s: 2, n: 1, u: 2, b: 2, c: 3, o: 2}? 1/1485 What is prob of sequence hgg when three letters picked without replacement from gghmvvvvgvgvvvgvggvh? 7/570 Four letters picked without replacement from {y: 3, i: 1, g: 1, q: 9}. What is prob of sequence ygyi? 1/4004 Calculate prob of sequence rrrr when four letters picked without replacement from {k: 4, r: 15}. 455/1292 Two letters picked without replacement from tttytttt. Give prob of sequence ty. 1/8 Two letters picked without replacement from hthyoyohyohottht. Give prob of sequence ho. 1/12 Two letters picked without replacement from {s: 1, m: 2, x: 1, y: 1, w: 2}. Give prob of sequence ws. 1/21 Three letters picked without replacement from ruwjv. Give prob of sequence ujw. 1/60 Three letters picked without replacement from {k: 1, v: 2, m: 1, x: 3, j: 3}. Give prob of sequence jjj. 1/120 Four letters picked without replacement from waawawwawaaaawwaawaw. Give prob of sequence waww. 77/1615 Three letters picked without replacement from {m: 2, d: 8, z: 5}. Give prob of sequence mzm. 1/273 Calculate prob of sequence kgrr when four letters picked without replacement from {r: 4, g: 5, k: 1}. 1/84 What is prob of sequence wbow when four letters picked without replacement from booooowobwoowoooo? 3/1190 Two letters picked without replacement from {u: 8, i: 4, c: 8}. What is prob of sequence uu? 14/95 Three letters picked without replacement from ggbuubgguuguggggggu. What is prob of sequence ubg? 22/969 Calculate prob of sequence iuqq when four letters picked without replacement from aqiuqqiq. 1/70 Two letters picked without replacement from {f: 1, l: 2, x: 1, r: 2}. What is prob of sequence rx? 1/15 Two letters picked without replacement from caachncaacqccqha. Give prob of sequence qq. 1/120 Three letters picked without replacement from {l: 3, j: 1, g: 1, r: 4, y: 4, b: 1}. Give prob of sequence yry. 2/91 Calculate prob of sequence yj when two letters picked without replacement from aaajayj. 1/21 Calculate prob of sequence uu when two letters picked without replacement from zuuuzzzuzzzzzzzzzzzz. 3/95 Calculate prob of sequence oo when two letters picked without replacement from zzzozo. 1/15 What is prob of sequence uuu when three letters picked without replacement from xcllrruruulul? 2/143 Four letters picked without replacement from iiwiiiwiiwiiwimwwii. What is prob of sequence wwim? 5/1292 Calculate prob of sequence bb when two letters picked without replacement from bbzzzbzbzbzzzzzzzzb. 5/57 What is prob of sequence phhp when four letters picked without replacement from pvvphvvhpvpv? 1/495 What is prob of sequence nnh when three letters picked without replacement from {h: 1, x: 5, n: 6, b: 4, g: 4}? 1/228 Three letters picked without replacement from sspppps. Give prob of sequence pps. 6/35 Three letters picked without replacement from zxxzzzzxoxzxzxxozzx. What is prob of sequence zoo? 1/323 Three letters picked without replacement from xaaxtxxttxxxxxtx. What is prob of sequence xxx? 3/14 Two letters picked without replacement from xjqxxjqxxxxqjjqxjxj. What is prob of sequence xx? 4/19 What is prob of sequence nll when three letters picked without replacement from nllnnl? 3/20 Calculate prob of sequence uguu when four letters picked without replacement from gguguuuuugug. 35/396 Two letters picked without replacement from wmwwwwwwmwwww. Give prob of sequence wm. 11/78 Two letters picked without replacement from {h: 2, e: 3, k: 1, v: 3, j: 2, s: 3}. Give prob of sequence sk. 3/182 Three letters picked without replacement from {d: 14, h: 4}. Give prob of sequence dhd. 91/612 Three letters picked without replacement from {u: 2, a: 10, n: 3}. What is prob of sequence nun? 2/455 Three letters picked without replacement from {y: 5, j: 1, f: 2, t: 6, q: 3}. What is prob of sequence yfy? 1/102 Two letters picked without replacement from {y: 2, g: 7, f: 5, q: 5}. Give prob of sequence fg. 35/342 What is prob of sequence eb when two letters picked without replacement from bweewwbbb? 1/9 What is prob of sequence ps when two letters picked without replacement from {p: 4, s: 10}? 20/91 Two letters picked without replacement from tlshnan. Give prob of sequence lh. 1/42 Calculate prob of sequence eet when three letters picked without replacement from eeeeettst. 5/42 Four letters picked without replacement from kgkkggkjkgkkgkgkkjkg. What is prob of sequence jgkk? 77/5814 Three letters picked without replacement from fffafffffffff. Give prob of sequence faf. 1/13 Four letters picked without replacement from bbbeeeb. What is prob of sequence beeb? 3/35 Four letters picked without replacement from oksqsqqsqq. Give prob of sequence okss. 1/840 Calculate prob of sequence rl when two letters picked without replacement from eleellllerrrleelee. 7/102 Two letters picked without replacement from waasaaawwxw. What is prob of sequence aw? 2/11 Four letters picked without replacement from {x: 3, p: 9}. What is prob of sequence xxxp? 1/220 What is prob of sequence dct when three letters picked without replacement from cccttddtt? 1/21 Calculate prob of sequence ddid when four letters picked without replacement from {g: 1, i: 1, d: 2}. 0 What is prob of sequence ju when two letters picked without replacement from wjjwuxguggggjjg? 4/105 What is prob of sequence vx when two letters picked without replacement from {v: 1, r: 10, q: 1, x: 1}? 1/156 Two letters picked without replacement from {e: 3}. Give prob of sequence ee. 1 Three letters picked without replacement from {l: 5, v: 8}. What is prob of sequence llv? 40/429 Two letters picked without replacement from {s: 2, n: 3, x: 1, f: 4}. Give prob of sequence ss. 1/45 What is prob of sequence qak when three letters picked without replacement from {q: 1, p: 4, k: 2, h: 1, a: 1}? 1/252 What is prob of sequence brzd when four letters picked without replacement from edzzzrb? 1/280 Calculate prob of sequence wx when two letters picked without replacement from {x: 1
{ "pile_set_name": "DM Mathematics" }
2 and 377834? 3400506 What is the smallest common multiple of 2 and 32288940? 32288940 Calculate the common denominator of 49/16 and 53/5147790. 41182320 Calculate the least common multiple of 78122 and 990. 3515490 Find the common denominator of 89/1689324 and 103/80262. 35475804 Calculate the least common multiple of 2559000 and 2559000. 2559000 Find the common denominator of 53/1398304 and -73/7086. 4194912 What is the smallest common multiple of 7448 and 2013018? 152989368 Calculate the common denominator of 85/856 and -75/7099022. 28396088 Find the common denominator of -52/10332277 and 51/68290. 103322770 What is the common denominator of 25/306191504 and -35/344465442? 2755723536 What is the smallest common multiple of 4731984 and 384? 37855872 Calculate the common denominator of 61/62964 and -181/37884. 18070668 What is the smallest common multiple of 36806 and 431156? 3018092 Calculate the common denominator of -41/310247318 and -43/1937028. 1861483908 Find the common denominator of -149/12 and -77/989106. 1978212 What is the common denominator of -167/43638588 and 101/26016? 349108704 What is the common denominator of 4/83325 and -1/6710? 10165650 What is the least common multiple of 1584324 and 3734478? 52282692 Calculate the common denominator of 57/51371230 and 61/41096984. 205484920 Find the common denominator of 1/2643784 and 109/1872. 47588112 What is the lowest common multiple of 55729 and 345? 835935 Calculate the common denominator of -11/104625 and -65/14694. 16530750 Find the common denominator of 85/52104 and -53/2912. 1458912 What is the common denominator of 3/579985856 and 53/72498232? 579985856 Find the common denominator of -4/4464405 and 47/2610. 8928810 Find the common denominator of -37/8 and 59/32492408. 32492408 What is the common denominator of 137/24 and -133/45746700? 91493400 What is the smallest common multiple of 24934 and 5943? 21168966 Find the common denominator of -37/346724 and -149/84. 1040172 What is the lowest common multiple of 5114 and 696? 1779672 Calculate the common denominator of -119/30 and 68/470733. 4707330 Calculate the smallest common multiple of 10 and 2272510. 2272510 Calculate the lowest common multiple of 511494 and 489. 511494 Find the common denominator of 103/3100 and -53/8546. 13246300 What is the least common multiple of 211839 and 215355? 51900555 What is the lowest common multiple of 306 and 1927671? 196622442 Calculate the smallest common multiple of 51427404 and 35. 257137020 What is the common denominator of -61/5225616 and 137/17952? 177670944 Find the common denominator of 89/3264954 and -67/176484. 6529908 What is the smallest common multiple of 49 and 6241816? 6241816 Calculate the lowest common multiple of 190625 and 7350. 56043750 Calculate the lowest common multiple of 189866382 and 1644. 379732764 Find the common denominator of -47/1388472 and -29/88. 15273192 What is the lowest common multiple of 129225201 and 5439? 129225201 Find the common denominator of -59/395340 and -107/2760. 18185640 What is the common denominator of 115/6500364 and 57/3718? 929552052 What is the common denominator of 31/350 and -109/175140? 875700 What is the lowest common multiple of 2670271 and 5? 13351355 Find the common denominator of 127/1816590 and 73/918. 277938270 What is the smallest common multiple of 156221 and 1237751? 16090763 Find the common denominator of 46/114509161 and 5/4065414. 687054966 Calculate the lowest common multiple of 60794 and 790322. 790322 Calculate the least common multiple of 124851 and 316. 39452916 What is the common denominator of -5/18 and -61/14342970? 43028910 Calculate the lowest common multiple of 3555489 and 70. 35554890 Calculate the common denominator of -91/279180 and 41/376195050. 752390100 Calculate the lowest common multiple of 1040 and 3007680. 3007680 Calculate the common denominator of -125/1082802 and 59/1764. 6496812 Find the common denominator of -87/20 and 107/28740570. 57481140 What is the smallest common multiple of 9 and 3366079? 30294711 Calculate the least common multiple of 4030522 and 2. 4030522 What is the common denominator of 24/13662679 and -58/3? 40988037 What is the common denominator of -107/32040 and 5/1632? 2178720 What is the least common multiple of 4161766 and 14? 4161766 What is the common denominator of 13/108382384 and -67/108382384? 108382384 Calculate the least common multiple of 41692 and 854686. 1709372 Calculate the common denominator of 32/32328273 and -43/19143. 290954457 Find the common denominator of 71/61504 and 26/71269. 141397696 What is the lowest common multiple of 11848506 and 27646514? 82939542 Calculate the common denominator of -41/839694 and 23/81317. 195648702 What is the common denominator of 37/4283708 and 111/2141854? 4283708 Calculate the smallest common multiple of 10854 and 225912. 408674808 Find the common denominator of 79/19251 and -65/258819. 2329371 Calculate the common denominator of -111/70 and -93/2736524. 13682620 What is the least common multiple of 43140 and 115040? 345120 Calculate the smallest common multiple of 80 and 25305740. 101222960 What is the common denominator of 53/59820 and 59/47963676? 239818380 Find the common denominator of 65/28320936 and -155/696. 28320936 Calculate the smallest common multiple of 17737290 and 17737290. 17737290 What is the common denominator of 37/42218 and 103/5566110? 105756090 Calculate the least common multiple of 18099635 and 25119. 162896715 Calculate the smallest common multiple of 27398 and 12749. 18384058 Find the common denominator of 91/470212 and 13/4801112. 91221128 Calculate the least common multiple of 4826 and 1016. 19304 What is the smallest common multiple of 6832 and 67568480? 67568480 What is the smallest common multiple of 23500 and 2803644? 350455500 Calculate the common denominator of -40/171 and -27/111199. 19015029 Find the common denominator of -121/138168 and -11/52175691. 417405528 Calculate the lowest common multiple of 471785 and 685. 64634545 What is the least common multiple of 66164 and 3582308? 25076156 Find the common denominator of -56/27 and -58/9113055. 82017495 Calculate the least common multiple of 1583732 and 11241. 14253588 Calculate the smallest common multiple of 232005514 and 260. 2320055140 Calculate the smallest common multiple of 1370 and 5543660. 759481420 What is the lowest common multiple of 567 and 174248550? 522745650 Calculate the least common multiple of 9 and 13239984. 39719952 Calculate the common denominator of 83/15790408 and 3/7895204. 15790408 Calculate the common denominator of 23/73304 and -47/1092. 2858856 What is the common denominator of 59/958 and 68/6021? 5768118 Calculate the smallest common multiple of 628160 and 50. 3140800 Calculate the common denominator of 69/5663800 and -99/518. 1466924200 What is the least common multiple of 6929832 and 118797120? 831579840 What is the common denominator of 197/5460 and 59/1755000? 12285000 What is the common denominator of 4/4063887 and -7/82044? 861544044 Calculate the smallest common multiple of 552200 and 5874000. 1474374000 Calculate the least common multiple of 791694 and 5832. 3166776 Calculate the lowest common multiple of 349454 and 1505217. 328137306 Find the common denominator of 1/205788 and -87/466. 47948604 What is the smallest common multiple of 515 and 7705? 793615 Calculate the lowest common multiple of 127743 and 9849. 8558781 Calculate the common denominator of -81/1670 and 46/687395. 229589930 What is the lowest common multiple of 23751 and 103857? 63248913 Calculate the smallest common multiple of 9473194 and 58075. 236829850 Calculate the common denominator of -76/81 and 17/114901335. 114901335 What is the common denominator of -83/6 and -115/3551322? 3551322 What is the least common multiple of 133962 and 63578? 51307446 Calculate the common denominator of 39/33088 and 67/748616. 5988928 What is the lowest common multiple of 66042 and 52518066? 472662594 What is the lowest common multiple of 11315200 and 3640? 79206400 What is the common denominator of 151/270 and -109/119220240? 1072982160 What is the least common multiple of 368550 and 1050? 368550 What is the lowest common multiple of 1639714 and 5988? 9
{ "pile_set_name": "DM Mathematics" }
+ (-12 - (-8 + 3)) -1 -5 + (8 - (-3 + 6)) + -5 -5 6 - (7 + (5 - 8) + 1) 1 14 + -19 - ((-2 - 1) + 4) -6 Evaluate (5 - (1 - (-2 + 1))) + -2. 1 What is the value of -6 + (22 - 5) + -4? 7 What is -2 + 6 - -2 - 3 - 4? -1 What is 0 + -3 + 1 + -2? -4 Calculate -1 - (8 - (-2 + 6)). -5 What is (0 - -3 - -1) + -6? -2 Evaluate (-8 - (12 - 15)) + 4. -1 What is the value of 9 - 0 - (-92 + 98)? 3 What is 6 - (6 + -3 + -3)? 6 1 - ((-4 - -6 - -1) + -2) 0 What is the value of (0 - -1) + 7 + (-8 - -4)? 4 4 + -10 - 0 - -2 -4 Evaluate 6 - (-6 + 7 - -1). 4 What is the value of -1 + 2 + (-7 - -3) + 4? 1 -1 + -1 + (64 - 58) 4 What is the value of 0 + 5 - (23 - 16)? -2 Evaluate (-6 - 0) + (18 - 11) + 0. 1 What is the value of 1 - (-1 + -2) - 8? -4 What is the value of -3 + 2 + 5 + 1 + -5? 0 Calculate 8 - (-6 - -16 - 6). 4 Calculate 10 + (-6 - 10) + 9. 3 What is the value of (-1 - 0) + -12 + 14? 1 What is the value of -5 - (-13 + (5 + -2 - -1))? 4 (0 - (-2 - -5)) + (-22 - -24) -1 1 + 1 + (-13 - -14) 3 What is the value of -1 + (9 - -6 - 9)? 5 What is 16 + -8 - (-1 - -1)? 8 9 + -1 + 1 + -5 4 What is the value of 2 - -1 - 2 - (9 + -3)? -5 Calculate (-2 + 2 - -5) + -6 - -3. 2 What is the value of 1 - (-4 + 12 + -2)? -5 What is -8 - ((-7 - -3) + -3)? -1 49 + -53 + (-1 - -13) 8 352 + -354 - (1 + 0 - 5) 2 What is (7 - 7) + -9 - -14? 5 Evaluate (-6 + -3 - -9) + -5 + 1. -4 What is the value of -6 + (-3 + -5 - -6) + 1? -7 Evaluate 8 + 0 - 6 - 1. 1 What is -9 + (6 - -16) + -7? 6 Evaluate 4 - 4 - (1 + -3 - -1). 1 Calculate 1 + -8 + 5 + -4 - -7. 1 Calculate -1 + (0 - -3 - -2) + -2. 2 Calculate 1 + 1 - (11 + -5). -4 What is the value of -3 - (-3 + 5 - 2 - 2)? -1 What is the value of -11 + 10 - (0 - 3) - -3? 5 Calculate 1 + (-5 - -2) + 3. 1 Calculate (-5 - -1) + (-52 - -48). -8 5 + -8 + -1 + 0 -4 Evaluate (4 - 6) + 6 - 10. -6 Evaluate -3 + (-2 - -1 - 1). -5 Evaluate -4 - (-3 - -4) - (13 - 14). -4 Calculate -7 + 7 + (5 + -5 - 3). -3 Calculate -13 + 4 - ((-2 - 3) + 1). -5 Evaluate 0 - (-1 - (15 - 10)). 6 (-9 - -1) + (17 - 14) - 0 -5 What is (-14 + 10 - 9) + 14? 1 What is (1 - 0) + 8 - (114 + -112)? 7 -1 - 5 - (-8 + -2) 4 What is 9 - (-8 - -11) - 9? -3 What is the value of -5 - -2 - (8 + -14)? 3 2 - (-5 + 0) - (-2 - -8) 1 Calculate 54 - 46 - (2 - 1). 7 0 + 12 + -2 + -4 6 Evaluate -1 + -3 + 0 - -8. 4 -20 - -14 - (-1 - (0 + 2)) -3 Calculate -6 + 0 + -1 + (4 - 2). -5 (0 + 2 - 2 - -3) + 1 4 Calculate -2 + -3 + (-2 - -3). -4 Evaluate -12 - 2 - (38 + -46). -6 6 - (-3 + -4 + 9) 4 Evaluate 5 + (-1 + -2 - -2) + 1. 5 21 + -16 - ((-2 - -2) + 1) 4 Evaluate -3 + 8 - (-22 - -22). 5 Calculate -7 + 6 - (2 - 1). -2 Calculate 15 + 1 + -7 + (5 - 4). 10 (-8 - -11) + (-1 - -2) 4 Calculate 19 + -18 + (1 - (2 - 1)). 1 22 + -20 - (0 + -3) 5 What is (0 + 1 - 7) + (-14 - -15)? -5 Evaluate 34 - 39 - (-8 - (-2 + 2)). 3 (-1 - -1) + (-1 + 4 - 2) 1 (4 - (-1 + 4)) + 2 + 0 3 What is -4 - -2 - (10 + -11)? -1 What is the value of -1 + (19 - 16) + 1 + 0? 3 What is the value of 119 - 121 - (0 - (0 - 1))? -3 Calculate -1 - (-6 + 5 - 2). 2 Calculate 2 - (-2 + (1 - -5) + -3). 1 What is -2 + 1 + 1 + 1? 1 What is 26 + -29 + 2 + -2? -3 Evaluate (48 - 49) + -1 + -3. -5 What is 4 - (-4 + -3 + 9)? 2 -1 - 0 - (-20 - (9 - 33)) -5 Calculate 1 - (-3 + -1 + 4). 1 Evaluate -2 + 5 + -2 + 3 + 1. 5 2 + 2 + -2 + 0 2 What is the value of 9 + -9 + -10 - -12? 2 -13 + 1 - (-4 + 1) -9 What is 8 - 9 - (0 - -3)? -4 What is -58 + 63 - (3 + -2 + -3)? 7 What is 20 + -26 + -3 - (-3 + 0)? -6 What is 9 + -7 + (0 - -3) - 10? -5 Calculate -10 + (11 - (-10 - -17)). -6 -2 - ((3 - 1 - 5) + 0) 1 What is -5 - (2 - -5 - 17) - 13? -8 2 + -10 - (-22 - -13 - 6) 7 What is (-5 - -9) + -1 + 2 + -1? 4 What is the value of -5 + (-3 - (-5 - 1))? -2 Calculate (-10 + 1 - -11) + (-1 - -2). 3 Calculate -11 - -6 - (-9 + 7). -3 Evaluate 3 - (5 + -5 + 4). -1 What is the value of 0 + -2 - (-6 + (1 - 1))? 4 -7 + (4 - 2) + 0 -5 (-2 - -15) + -36 + 29 6 Calculate -4 + (6 + -7 - 0) + 3. -2 What is the value of -1 + -2 + (7 - 6) + 4? 2 Evaluate -1 - 1 - (60 + -73). 11 (2 - 2) + (0 - 3) -3 What is the value of -2 + 3 + -2 + -2 - -3? 0 Evaluate 6 + 4 + (2 - (-4 - -10)). 6 -1 + -10 - (66 + -71) -6 Evaluate 4 - (7 + -4) - -5. 6 58 + -47 - (10 - 1) 2 Evaluate (1 + 0 - (-14 - -15)) + -2. -2 What is -2 + -2 + (0 - 0)? -4 What is 5 - (-2 + -2 + 2 + 2)? 5 What is -8 - (-11 - -1) - -6? 8 5 + -2 + (-2 - 1) 0 6 + -8 + 9 + -5 2 Evaluate 3 + 6 + -3 - (-6 + 7). 5 Calculate -4 + 3 + -1 + -1. -3 -4 - -3 - ((3 - 3) + 5) -6 What is -10 - -1 - (-113 + 113)? -9 What is the value of (-5 - (-4 + -5)) + -3 + -7? -6 What is the value of 4 - ((12 - 0) + -5)? -3 What is 5 + 2 - 9 - (-2 + 0)? 0 What is the value of 3 + (8 - (24 + -7))? -6 Calculate -6 - 1 - -3 - -1. -3 Calculate -3 + 2 + (-6 - (2 - 7)). -2 Evaluate (0 - -1) + (-16 - (10 + -26)). 1 3 + -1 + (-9 - -6) -1 -12 + (30 - 14) + 3 7 Calculate -7 + 1 - (5 + 5 + -11). -5 Calculate 9 + (-4 - -5) + -15. -5 Evaluate -13 + 9 + 12 + -7. 1 What is the value of -10 - 4 - -10 - -2? -2 What is 4 - (4 - (1 - -1) - -3)? -1 Calculate -7 + 4 + (-4 - -10). 3 What is (-1 - (4 - 2 - 11)) + -4? 4 -2 + -5 + 9 + 1 + 1 4 Evaluate -1 - 2 - (11 - -3 - 19). 2 Evaluate 2 - (-8 + (-1 - -4)). 7 What is the value of -1 + -4 + (-22 - -26)? -1 Evaluate -6 + (10 - (13 + -4)). -5 Calculate -1 + 1 + (0 - (3 - 5)). 2 What is the value of 0 - (-4 - (1 - 5 - 2))? -2 (-5 - 0) + -8 + 16 3 -31 + 31 - (0 - (2 - 0)) 2 Calculate -1 + 9 + -30 + 23. 1 Evaluate -1 + (3 - -1) + -7. -4 What is the value of -5 + (8 - 4) + 5 - 6? -2 5 - 2 - (28 + -29) 4 What is (-5 - -4) + 4 + -2 + -3? -2 What is the value of 2 + -6 + 8 + -3? 1 -25 - -21 - (0 - 8) 4 Calculate -14 - ((10 - 12) + -6). -6 -7 - -1 - (18 + -9 - 13) -2 What is -19 + 15 + 2 + (3 - 7)? -6 Evaluate (-3 - 3) + (-3 - -7). -2 0 + -2 + -9 + 11 - 2 -2 What is the value of -12 + 8 + 12 - 5? 3 What is -7 - (-11 + 1 + 6)? -3 Evaluate (-59 - -66) + 2 + -15. -6 Evaluate 5 + -14 + (0 - 0). -9 Calculate (5 - 2) + -2 + 7 + -3. 5 What is 8 + -1 + (-5 - -10 - 7)? 5 What is the value of -18 - -10 - ((2 - 2) + -5)? -3 Calculate (-7 - (-4 + 3)) + (-3 - -4). -5 What is the value of 0 + 2 - (4 + -8)? 6 6 + (-2 - (1 - (-1 - -1))) 3 Calculate 1 + (4 - (0 + -2 - -2)). 5 What is the value of -5 + 1 - (2 + -7)? 1 What is the value of 6 - (-3 + 3 - -3) - 2? 1 Evaluate -7 + 18 - (-1 - -10). 2 Evaluate 3 + (3 - 3) + -8. -5 What is -14 + 16 + (-3 - -1)? 0 Evaluate 4 - (2 - 3) - 1. 4 What is 0 - (6 - (6 + -3))? -3 3 + -6 - -7 - 7 -3 Calculate 5 + (11 - 6) - 3. 7 Evaluate 0 + -1 + 1 + 9 + -4. 5 What is -4 + 1 + (32 - 18 - 5)? 6 Calculate 3 + -1 + (10 - (20 - 2)). -6 Evaluate -5 + (2 + -9 + 3 - -5). -4 6 - ((-10 - -5) + (19 - 4)) -4 What is 4 + -5 + 1 + 2 - 3? -1 What is 0 - (1 - (0 - -4 - 3))? 0 What is 5 - (5 + (3 - 7 - -3))? 1 1 + (4 - (-2 - -6) - -2) 3 Evaluate -1 + (-7 - -7) + 2 + -1. 0 What is (2 - 1) + -3 + -1? -3 What is the value of -6 - 5 - (-3 + -14)? 6 Evaluate 2 + (7 - (6 - -2)). 1 (2 - (-4 + 6)) + 5 + -6 -1 What is (-9 + 7 - 1) + 5? 2 3 + 2 + (-10 - -4) -1 Calculate 5 + 5 + 7 + -10. 7 What is -19 + (6 + -8 - -12)? -9 Evaluate -2 - ((-4 - -3) + 5). -6 (0 - -3) + 2 + -4 1 -6 + 0 + (-1 - (11 - 14)) -4 Calculate 2 - ((-1 - 0) + -1). 4 What is the value of 1 + (5 - -3) + -6? 3 Calculate -8 - (-8 - -5) - -11. 6 What is (5 - 6) + -3 + -7 + 2? -9 0 + -2 + 0 - 2 -4 Evaluate 13 + -10 - (-1 - -2) - 7. -5 Evaluate 5 - (8 + (-2 - -7) + -10). 2 Evaluate 2 + 5 + -3 + -12. -8 -10 - (6 + -12) - (-1 + 0) -3 -8 - (-7 + 2 + 6) -9 Evaluate -21 + 28 + (-7 - 0). 0 (-74 - -70) + (-1 - -16) 11 Calculate 0 - (4 + -8) - 1. 3 What is (3 - 1) + (1 - 5 - 0)? -2 Calculate 5 - 0 - (10 - 2). -3 Evaluate -2 + 7 - 5 - (4 + -1). -3 Evaluate -1 + 5 + (5 - 4). 5 What is the value of -4 + (3 - 1 - (2 + -2))? -2 Calculate 1 - (-4 + 4 - -3 - 5). 3 Evaluate (-10 - -2) + -2 + 6. -4 Calculate -6 - (-6 + (8 - 10)). 2 What is the value of (-1 - 4) + 0 - (-6 - -1)? 0 Evaluate -4 + (1 - -2) - -6. 5 What is -1 + 13 + -1 - (-415 - -420)? 6 What is the value of (1 - 0 - 3 - -9) + -3? 4 What is -4 + 0 + 0 + (2 - 2)? -4 Calculate 1 + 1 + 1 - (20 - 17). 0 Calculate (-3 - -6 - 0) + (-16 - -6). -7 Calculate 0 - (4 + -2) - (3 - 1). -4 Calculate -5 - (2 - 6 - 4). 3 What is -3 + 1 + (12 - 6) + -4? 0 Evaluate -7 -
{ "pile_set_name": "DM Mathematics" }
rd derivative of -3790738*m**4 + 456215*m**2? -90977712*m What is the second derivative of 109996063*q*z**2 + 13577*q*z - 38*q - 13*z wrt z? 219992126*q Find the second derivative of -562*f**2*i**2 - 232*f**2*i - 823*f**2 - 2509*f*i - 1899*i**2 - 4 wrt f. -1124*i**2 - 464*i - 1646 Find the third derivative of -222*v**4 - 480652*v**3 - 3665*v**2 + v + 8206 wrt v. -5328*v - 2883912 Find the second derivative of -3*n**3 + 1014351*n**2 + n - 2815337. -18*n + 2028702 What is the second derivative of -810*c**5 + 998*c**4 + 3296*c - 1143? -16200*c**3 + 11976*c**2 Find the second derivative of -56623*c**3*z**2 - 75948*c**3*z - 21*c**2*z**2 + 150*c*z - z**2 wrt z. -113246*c**3 - 42*c**2 - 2 Find the second derivative of -5728036*u**2 + 26052062*u wrt u. -11456072 Find the second derivative of c**3*o**2 - 159323*c**3*o - 2*c*o**2 - 749167*c*o wrt c. 6*c*o**2 - 955938*c*o Find the second derivative of 437031222*a**3 + 883918263*a wrt a. 2622187332*a Differentiate 186560470*n**2*p**3 + 351*p**3 - 3455*p**2 wrt n. 373120940*n*p**3 Differentiate 721764*z**3 - 1028519 wrt z. 2165292*z**2 Differentiate 2*j*k*w + 5116301*j*k + j*w - j + 11016790*k*w - 32*k + 6*w wrt w. 2*j*k + j + 11016790*k + 6 Find the second derivative of 13123516*p**5 - 2*p - 4879192 wrt p. 262470320*p**3 Differentiate 332*s**4 + 20*s**3 + 766*s - 109202045. 1328*s**3 + 60*s**2 + 766 Find the second derivative of -83671814*x**2 + 20493604*x + 1. -167343628 Find the second derivative of 4896721*s**2 + 67211*s - 132 wrt s. 9793442 What is the second derivative of -10622*p**3 + 2498*p**2 - 15919161*p wrt p? -63732*p + 4996 What is the derivative of -167702*s**3*t**2 + s**3 - 20*s**2 - 6*s*t + 52*s - 2*t**2 - 43 wrt t? -335404*s**3*t - 6*s - 4*t What is the derivative of -3*d**4 + 68145305*d**2*v - 125626416*v + 3 wrt d? -12*d**3 + 136290610*d*v What is the derivative of -248428871*x - 438882475 wrt x? -248428871 What is the third derivative of -168*i**5 + 93*i**4 + 690*i**3 - 12*i**2 + 1207582*i wrt i? -10080*i**2 + 2232*i + 4140 Differentiate -3596*c*k**2 - 399*c*k + 5*c - 2652889*k**2 + 3*k with respect to c. -3596*k**2 - 399*k + 5 Find the second derivative of -543757890*p**3*u**2 + 154*p**3*u - p**3 + 29625*p*u - 3*u wrt u. -1087515780*p**3 What is the second derivative of -5650275*i**2 + 7224734*i? -11300550 What is the second derivative of -1128*m**4 - 2*m**3 - 680*m**2 - 6*m - 47351 wrt m? -13536*m**2 - 12*m - 1360 What is the derivative of -3479*f**3*w**2 + 4*f**3 + f**2 - 7847*f*w**2 + 2621*f - 512 wrt w? -6958*f**3*w - 15694*f*w What is the second derivative of -21*q*x**3 + 328543*q*x**2 + 3*q*x + 24*q - 48082 wrt x? -126*q*x + 657086*q Differentiate 25*g*t**2*y**3 + 90950*g*t**2*y - 6*t**2 + 14113567*y**3 with respect to g. 25*t**2*y**3 + 90950*t**2*y Find the third derivative of -8306329*l**3 + 59837394*l**2 - l. -49837974 What is the third derivative of 90*a**2*d**3 - 4*a**2*d**2 - 2*a**2 + a*d**3*i - a*d**2*i - 130*a*i + 86*d**3*i - 13*d**3 - 81*d**2*i wrt d? 540*a**2 + 6*a*i + 516*i - 78 What is the third derivative of -12481303*w**5 - 18191865*w**2 + 14? -748878180*w**2 Differentiate 47*h*u**2 + 9*h*u + 75279331*h - 29086*u**2 with respect to u. 94*h*u + 9*h - 58172*u Find the second derivative of 8266591*c**3*w**3 + 13*c**3*w + 10316*c**3 + 80*c**2*w + 15*w**4 - 1 wrt w. 49599546*c**3*w + 180*w**2 What is the first derivative of 90289310*k**3*v**2 + 104347*k**3 - 324 wrt v? 180578620*k**3*v What is the second derivative of 31652628*c*w**2 - 42840*c*w - 7*w + 3 wrt w? 63305256*c What is the second derivative of -n**4 + 3380583*n**3 + 34*n**2 - 14522991*n - 4? -12*n**2 + 20283498*n + 68 Find the second derivative of -2108*a**4*g**2 - 1801*a**4 + 3562869*a*g**2 wrt a. -25296*a**2*g**2 - 21612*a**2 What is the second derivative of -5371415*q**2 + 2702*q + 658 wrt q? -10742830 Differentiate -817*k*v**3 + 2*k*v - 2*k - 1010*v**3 + 34971751 wrt v. -2451*k*v**2 + 2*k - 3030*v**2 What is the second derivative of -8*g**4 + g**3 - 382448*g**2 + 48*g - 323010? -96*g**2 + 6*g - 764896 Find the second derivative of 1115361*d**2*s**2*u + 258*d**2*s*u**2 + 2*d**2*s + 2*d**2*u**2 - d*s**2*u**2 + 1219*d*u**2 wrt s. 2230722*d**2*u - 2*d*u**2 What is the first derivative of 784080939*f**2 + 259774648? 1568161878*f Find the third derivative of 14564102*p**5 - p**3 - 217504109*p**2 wrt p. 873846120*p**2 - 6 Differentiate -2061184*v - 17585886 with respect to v. -2061184 What is the third derivative of 31534155*t**3 - 54*t**2 + 5*t + 2226 wrt t? 189204930 Find the first derivative of -1656*c**2*m + 18356331*c**2 + 39*c*m**3 - 38*m wrt m. -1656*c**2 + 117*c*m**2 - 38 What is the third derivative of 9267525*c**3 + 139*c**2 - 28257 wrt c? 55605150 What is the derivative of -8849877*m**4 + 8147169? -35399508*m**3 Find the third derivative of 1182520142*n**3 - 596870340*n**2. 7095120852 What is the first derivative of -274*v**3 - 115805*v + 168910687 wrt v? -822*v**2 - 115805 Differentiate 1035360234*c - 188604858. 1035360234 Differentiate 7572*g*z**3 + 10*g*z**2 - 271*g + 2*z**3 + 14774*z**2 + 39*z + 4 with respect to g. 7572*z**3 + 10*z**2 - 271 What is the second derivative of 234662879*a*f**3*w**2 + 24881*a + 468*f**3*w wrt w? 469325758*a*f**3 Find the third derivative of 2*x**4 + 65793357*x**3 - 400871530*x**2 wrt x. 48*x + 394760142 What is the derivative of 2544*c*s*t**2 + c*s - 238*c*t - 49*s**2*t**2 + 13845*t**2 wrt s? 2544*c*t**2 + c - 98*s*t**2 What is the third derivative of -69*j**4 - 35261*j**3 + 18*j**2 - 623746*j? -1656*j - 211566 What is the third derivative of 4025756*k**3*y**2 + 8*k**3*y + 64*k**2 + 3*k*y**2 - 5088*y**2 + 11*y wrt k? 24154536*y**2 + 48*y Find the third derivative of -117175*q**3*y**3 - q**3*y**2 + 7*q**3*y - 5*q**2*y**3 - 2*y**3 + y**2 + 38168 wrt q. -703050*y**3 - 6*y**2 + 42*y Find the second derivative of 4145511*o**2 + 15416122*o wrt o. 8291022 What is the second derivative of -j**2*v + 629837*j**2 + j*v - 41*j + 1407*v wrt j? -2*v + 1259674 What is the second derivative of 2*n**4 + 2808082*n**3 + 9*n**2 - 15277484*n? 24*n**2 + 16848492*n + 18 Find the third derivative of -8208*f**6 + 182*f**3*j**3 - 2*f**3 + 192457*f**2*j**2 + 98*f + 2*j**3 wrt f. -984960*f**3 + 1092*j**3 - 12 Differentiate -13192692*g**2*n**2 + 485*g**2 - 12*g*n**4 - 24*g - 1216 wrt n. -26385384*g**2*n - 48*g*n**3 What is the second derivative of -29461280*g**5 - 3170*g - 73697 wrt g? -589225600*g**3 Find the second derivative of -253*h**3*m**2 + 157*h**3*m + 50*h**2*m**2 + 15602*h + 439*m**2 wrt m. -506*h**3 + 100*h**2 + 878 Find the second derivative of -20107496*z**5 + 9642203*z + 1. -402149920*z**3 Find the first derivative of -108*k**4 + 3479465*k - 481091534 wrt k. -432*k**3 + 3479465 What is the third derivative of 126541597*w**3 + 127*w**2 - 53571 wrt w? 759249582 What is the derivative of 2*o**4 + o**2 + 1382810*o - 9038288 wrt o? 8*o**3 + 2*o + 1382810 What is the first derivative of -276452226*n + 427708020? -276452226 What is the first derivative of -2*d*q**2 + 2111*d + 844*q**2 - 12364*q - 19117 wrt q? -4*d*q + 1688*q - 12364 Find the third derivative of -567744518*y**3 + 691681*y**2 + 602. -3406467108 Find the second derivative of -9661826*g**5 + g - 542989. -193236520*g**3 What is the second derivative of 33751037*a**5 - 10458600*a? 675020740*a**3 What is the second derivative of -7239571*h*i**2*r**2 - 37*h - 2441*i*r**2 wrt i? -14479142*h*r**2 What is the derivative of 237*l**2*n*o - 26*l**2*n - l**2*o + 2*l**2 - 201*l*o + 82*l + 8339*n + 1408*o wrt n? 237*l**2*o - 26*l**2 + 8339 Find the second derivative of -29252570*q**2 + 86455*q - 103 wrt q. -58505140 What is the derivative of -c**2*k**2 + 11096591*c**2 - 78083*k wrt k? -2*c**2*k - 78083 Find the third derivative of 194070091*s**3 - s**2 - 117887740*s - 2. 1164420546 What is the second derivative of 16595570*w**2 + 5*w - 514035 wrt w? 33191140 What is the second derivative of -2853168*k*x**3*z**2 + 35*k*x**3 - 2*k*x*z**2 + 52*k*z + 3*k - 8*z + 3 wrt z? -5706336*k*x**3 - 4*k*x Differentiate 9484649*i*m**3 + 2*m**3 - 43834961*m with respect to i. 9484649*m**3 Find the third derivative of 1889*a**5 + 73*a**4 + 3*a**3 - 2*a**2 + 4*a + 403808 wrt a. 113340*a**2 + 1752*a + 18 What is the third derivative of -3*n**6 + 48599904
{ "pile_set_name": "DM Mathematics" }
housand? -120000 What is 410410 rounded to the nearest 1000? 410000 Round 0.0005514 to 4 decimal places. 0.0006 Round 0.3668 to 0 dps. 0 What is 0.0407689 rounded to four decimal places? 0.0408 What is -289.47 rounded to the nearest integer? -289 Round -3280000 to the nearest one million. -3000000 Round 0.000005973 to six decimal places. 0.000006 What is -659490 rounded to the nearest 1000? -659000 What is -2500 rounded to the nearest one thousand? -3000 Round 61414000 to the nearest 1000000. 61000000 Round 0.0002003 to 5 dps. 0.0002 Round -681.35 to the nearest integer. -681 What is 71.4 rounded to the nearest ten? 70 Round -21795000 to the nearest one hundred thousand. -21800000 What is -17.07 rounded to 0 dps? -17 What is -27200 rounded to the nearest one thousand? -27000 What is -3.6641 rounded to one dp? -3.7 Round 0.000001744 to seven dps. 0.0000017 Round -0.00017754 to six dps. -0.000178 Round -357 to the nearest 10000. 0 What is 17060000 rounded to the nearest 1000000? 17000000 Round -184250 to the nearest ten thousand. -180000 Round 5.8915 to 1 dp. 5.9 What is -0.00343 rounded to three dps? -0.003 What is -17150 rounded to the nearest 1000? -17000 Round -0.00007476 to six dps. -0.000075 What is -801800 rounded to the nearest 100000? -800000 What is -91400 rounded to the nearest 10000? -90000 What is -4.445 rounded to 1 dp? -4.4 What is -4369.3 rounded to the nearest 100? -4400 Round -0.2504 to 1 dp. -0.3 Round 10330 to the nearest 100. 10300 Round -2035.8 to the nearest ten. -2040 What is 0.000026008 rounded to seven dps? 0.000026 Round 181.54 to 0 decimal places. 182 What is 87.57 rounded to the nearest integer? 88 What is 0.00002972 rounded to six decimal places? 0.00003 Round -1.028 to two decimal places. -1.03 What is -126300000 rounded to the nearest 1000000? -126000000 Round -8.9157 to 0 decimal places. -9 What is 23790 rounded to the nearest 100? 23800 Round 2898 to the nearest 100. 2900 What is 0.4174 rounded to two dps? 0.42 What is 74176000 rounded to the nearest 100000? 74200000 Round 4339.49 to the nearest 10. 4340 What is -17457 rounded to the nearest 1000? -17000 Round 0.00010347 to 6 decimal places. 0.000103 Round 0.05491 to two dps. 0.05 What is -28221000 rounded to the nearest one million? -28000000 What is -2084000 rounded to the nearest 1000000? -2000000 Round -20800 to the nearest one thousand. -21000 Round -58865 to the nearest 10000. -60000 What is 0.000003455 rounded to six dps? 0.000003 Round -3.48 to the nearest integer. -3 What is 0.0159 rounded to 3 decimal places? 0.016 What is -11920 rounded to the nearest one thousand? -12000 Round -0.3198 to 1 decimal place. -0.3 Round -69.91 to the nearest 10. -70 Round -0.0000136518 to six decimal places. -0.000014 Round 0.5837 to one dp. 0.6 What is -347.8 rounded to the nearest 100? -300 What is 0.0275 rounded to 3 dps? 0.028 What is -2.284 rounded to the nearest integer? -2 Round 0.000033397 to 7 decimal places. 0.0000334 What is 7.53 rounded to the nearest integer? 8 Round 0.000557 to 4 decimal places. 0.0006 What is -0.007137 rounded to three dps? -0.007 What is 50.939 rounded to one decimal place? 50.9 Round -9.26 to one decimal place. -9.3 Round 22020000 to the nearest one million. 22000000 What is 0.00000704 rounded to six decimal places? 0.000007 Round -181240 to the nearest ten thousand. -180000 Round 0.009581 to three dps. 0.01 Round -32964000 to the nearest 100000. -33000000 What is -0.00000008161 rounded to seven dps? -0.0000001 Round 860.45 to the nearest integer. 860 What is 0.02935 rounded to four dps? 0.0294 Round -141940 to the nearest 10000. -140000 Round -1975000 to the nearest one million. -2000000 Round 12044000 to the nearest 100000. 12000000 Round -21699000 to the nearest one hundred thousand. -21700000 Round 6169.9 to the nearest one hundred. 6200 Round -458.44 to the nearest integer. -458 What is -530200 rounded to the nearest one hundred thousand? -500000 Round -98.1 to the nearest ten. -100 What is -50.697 rounded to 0 dps? -51 Round -0.01181 to three decimal places. -0.012 Round 0.0297295 to four decimal places. 0.0297 What is 0.00000037 rounded to seven decimal places? 0.0000004 What is -0.00025709 rounded to 6 decimal places? -0.000257 What is -0.0005262 rounded to 5 dps? -0.00053 Round 1269030 to the nearest 10000. 1270000 What is 0.000059537 rounded to 5 dps? 0.00006 Round -0.00021749 to four decimal places. -0.0002 Round -8.397 to 1 decimal place. -8.4 Round 0.000222919 to 5 dps. 0.00022 What is -417339 rounded to the nearest 10000? -420000 Round -2687370 to the nearest one hundred thousand. -2700000 Round 0.057227 to two decimal places. 0.06 Round 18250 to the nearest one thousand. 18000 Round 0.0148964 to three dps. 0.015 Round -0.89434 to 1 decimal place. -0.9 Round -0.1029 to 2 decimal places. -0.1 What is -10355 rounded to the nearest 1000? -10000 Round 3520000 to the nearest 1000000. 4000000 Round -0.00000504889 to 6 decimal places. -0.000005 Round -0.000005045 to 7 decimal places. -0.000005 Round -17744000 to the nearest one million. -18000000 Round -1301400 to the nearest one hundred thousand. -1300000 Round -851.9 to the nearest one hundred. -900 What is 747900 rounded to the nearest one hundred thousand? 700000 What is 0.000214543 rounded to 5 decimal places? 0.00021 Round -1.53544 to one decimal place. -1.5 Round -0.535 to one dp. -0.5 What is 2.8728 rounded to 2 dps? 2.87 What is -4.863 rounded to zero decimal places? -5 Round 5.967 to the nearest integer. 6 Round 2.9477 to one decimal place. 2.9 Round -116 to the nearest 100. -100 What is -0.000732 rounded to 3 decimal places? -0.001 What is 0.62847 rounded to one dp? 0.6 Round 0.000009393 to 7 dps. 0.0000094 What is 0.090964 rounded to 4 dps? 0.091 What is -3146300 rounded to the nearest 100000? -3100000 Round -31543 to the nearest 1000. -32000 What is -7.7695 rounded to 2 dps? -7.77 What is -101.58 rounded to the nearest integer? -102 What is -19.4 rounded to the nearest integer? -19 What is 10.627 rounded to 1 decimal place? 10.6 Round -66380000 to the nearest one million. -66000000 Round -0.02473 to 2 dps. -0.02 Round 14050 to the nearest 10000. 10000 Round -0.010519 to 4 dps. -0.0105 What is -26830000 rounded to the nearest one hundred thousand? -26800000 Round 2899000 to the nearest 100000. 2900000 What is -0.0000305 rounded to 6 decimal places? -0.000031 Round 0.0000010392 to 7 decimal places. 0.000001 Round 0.0000003976 to 7 dps. 0.0000004 What is 0.000005993 rounded to six decimal places? 0.000006 What is 108 rounded to 0 dps? 108 Round -66.52 to the nearest ten. -70 What is -0.0002253 rounded to 4 decimal places? -0.0002 What is -550 rounded to the nearest one hundred? -600 Round -0.023832 to three decimal places. -0.024 What is -97.51 rounded to the nearest integer? -98 What is -1120900 rounded to the nearest 100000? -1100000 Round 2626.3 to the nearest 100. 2600 What is -3402.9 rounded to the nearest one thousand? -3000 Round 513610 to the nearest 100000. 500000 What is -0.0364 rounded to three dps? -0.036 Round 452000 to the nearest ten thousand. 450000 Round -0.0000117027 to seven dps. -0.0000117 What is 39678.4 rounded to the nearest 10000? 40000 Round -3404300 to the nearest one hundred thousand. -3400000 What is -338000 rounded to the nearest ten thousand? -340000 What is -0.40336 rounded to one dp? -0.4 Round 0.0044813 to three decimal places. 0.004 What is 0.000401 rounded to 4 decimal places? 0.0004 What is 114.78 rounded to the nearest 10? 110 What is 1871500 rounded to the nearest 10000? 1870000 What is -10344.8 rounded to the nearest one thousand? -10000 What is -3760.2 rounded to the nearest 10? -3760 Round 192.98 to the nearest 10. 190 What is 12.013 rounded to the nearest integer? 12 Round -0.000295134 to five dps. -0.0003 Round 6660 to the nearest 100. 6700 What is 94467000 rounded to the nearest one million? 94000000 Round -0.07716 to three decimal places. -0.077 What is -739000 rounded to the nearest one hundred thousand? -700000 What is -348.87 rounded to the nearest ten? -350 What is 2.616 rounded to 0 decimal places? 3 Round 0.0000614 to 5 dps. 0.00006 What is -662.44 rounded to the nearest 100? -700 What is -0.00000484 rounded to six d
{ "pile_set_name": "DM Mathematics" }
r? 77 Let m = -14 - -18. Suppose 3*i = 5*f + 142, 1 = f - 3. Suppose -2*g = m*g - i. What is the smallest common multiple of g and 5? 45 Let y = -1764 + 53029/30. What is the common denominator of (-137)/7*(-14)/(-60) and y? 30 Let t(u) = -19*u - 11. Let k = -16 + 23. What is the lowest common multiple of t(-1) and k? 56 Let n(j) = 4*j - 9. Calculate the lowest common multiple of n(4) and 9. 63 Let n = 5 + 4. Let c = -20 - 21. Find the common denominator of (-14)/(-21) + 46/n and c. 9 Suppose -5*j = -8*j + 12. Suppose j*a - 43 = 29. What is the least common multiple of 26 and a? 234 Suppose 2*y - 4 = -3*t + 3, -7 = t + 3*y. Suppose t*p + 0*p - 30 = 0. Calculate the smallest common multiple of 6 and p. 6 Let g(b) = -b**2 - 6*b - 3. Let s be g(-4). Let o = 14 - s. Suppose 4*u - 15 = 4*q + o, u + 4*q + 4 = 0. Calculate the least common multiple of 6 and u. 12 Let f be (3/9)/(1/12). Suppose p = 5, -f*j + 5*p = j + 95. Calculate the common denominator of 194/4 + (-7)/j and 3/4. 4 Let x = 397 + -361. What is the least common multiple of x and 6? 36 Suppose 33*p + 2183 = 21884. What is the lowest common multiple of p and 12? 2388 Suppose 5*u - 132 = -4*q, -4*u + 15 + 29 = q. Let d = 66 - q. Calculate the least common multiple of d and 16. 304 Let f be (-259)/(-35) + -7 + 343/5. Calculate the common denominator of 59/44 and (-197)/60*1 + (-46)/f. 220 Let k(w) = -w + 24. Let g be k(20). Let c(o) = o**2 - 6*o + 9. Let s be c(-7). Suppose -l = g*l - s. What is the smallest common multiple of l and 8? 40 Let j = 197 + -131. What is the least common multiple of 48 and j? 528 Find the common denominator of 7 + (-171)/27 + (-195)/(-10) and ((-222)/(-8))/((-3)/2). 6 Calculate the common denominator of -17*56/14*1/(-10) and -49/93. 465 Let p = 621531053/630 - 986557. What is the common denominator of -86/441 and p? 4410 Let r = -7921/348 - -88/87. What is the common denominator of r and ((-295)/(-4130))/((-24)/(-518))? 24 Let t(l) = -6*l + 2. Let f(k) = -k**3 + k**2 - k + 1. Let m be f(0). What is the least common multiple of 18 + m + -3 + 7 + -5 and t(-3)? 180 Let h = 10 + -12. Suppose 16 + 20 = 4*i. Calculate the lowest common multiple of i and h*2*6/(-8). 9 Let h(m) = -m**3 + 3*m**2 - 2*m - 2. Let b be h(2). What is the lowest common multiple of (50/(-15) - b)*-6 and 22? 88 Let b = 53/7 + -341/21. Let f = -2109 - -21183/10. What is the common denominator of b and f? 30 Suppose 0*v - 4530 = -6*v. Calculate the common denominator of -71/27 and v/168*1 - (-4)/(-14). 216 Suppose -5*j + 26 = -n - 4, j - n - 10 = 0. Suppose -j*m = -43 - 27. Calculate the lowest common multiple of m and 58. 406 Let u = 7471857/92 + -81215. Find the common denominator of u and 95/6. 276 Let d = -849/20 - -156/5. Let n = 16 - 19. Find the common denominator of (-1 - n) + (-92)/64 and d. 16 Calculate the least common multiple of (-2)/(-17) + (-12700)/(-425) and 48. 240 Suppose -35 = -3*y + 8*y. Let n = y - -8. Find the common denominator of 92/(-12) + -2*n and -15. 3 Let n = -84 + 39. Let j be (-542)/(-900) - (-10)/n. Let s = -667/275 + j. What is the common denominator of -123/20 and s? 220 Let h = -1010 - -1100. What is the smallest common multiple of h and 27? 270 Let g = -5 + 9. Calculate the least common multiple of 18 and g/(5/(225/10)). 18 Let p = 48 - 195/4. Let x = -123/1038277 - -29700103743/1605176242. Let v = -2/773 + x. Find the common denominator of p and v. 4 Find the common denominator of -47/27 and 2*(-129)/5976 + 12/144. 2241 Let z = -13 + 15. Suppose -h = -z - 10. Calculate the lowest common multiple of 18 and h. 36 Suppose -s - 9 = 3*c, 8*s + 5*c + 8 = 4*s. Suppose 3*t + a = 5 + 4, -s*t + a + 9 = 0. What is the smallest common multiple of t and 49? 147 Let i = -2/391 - -10561/782. What is the common denominator of 51/20 and i? 20 Let i = 33/256 - -1663/256. What is the common denominator of i and -14/15? 120 Let u = 1/3016117 - -70936055715/24128936. Let o = -2949 + u. Find the common denominator of o and 59/8. 8 Suppose 3*o = -5*o. Suppose -2*j + 3*j = o. Suppose 18 = y - j. Calculate the lowest common multiple of 4 and y. 36 Let o(q) = -q**2 + 9*q + 14. Let w be o(10). Suppose 3*p = -4*k + 26, 0*p = 3*k - w*p - 32. Calculate the smallest common multiple of 4 and k. 8 Let o = -16/527 - -28171/7905. Calculate the common denominator of -19/9 and o. 45 Let o = -135869/20 - -6795. Calculate the common denominator of -167/60 and o. 60 Let h = 899 + -5311/6. What is the common denominator of 45/(-30)*(-68)/(-168) and h? 84 Let c(l) = -3*l - 17. Calculate the least common multiple of 11 and c(-9). 110 Let t = -578 - -618. Calculate the least common multiple of 72 and t. 360 Let o = -5 + 8. Suppose 3*v - o*g + 6 = -27, -2*v = -g + 17. What is the common denominator of -3/4 and 20/(-9) - (v + 9)? 36 Let l = 1093 - 1085. Calculate the lowest common multiple of l and 88. 88 Let b = -1580197/217 - -7282. Let t = -21929/868 - b. Calculate the common denominator of 34/3 and t. 12 Let y = -251/36 - -92/9. Calculate the common denominator of y and 28/297. 1188 Let n = -1/13735 - -1579567/576870. What is the common denominator of 19/36 and n? 252 Let a(s) = -5*s - 44. Let l be a(-7). Let b = 22 - 36. Let j = l - b. What is the lowest common multiple of j and 10? 10 Let n be (114/45 - 2)*(-27)/(-684). Let u = n - -83/570. Find the common denominator of u and -91/6. 6 Let h = -21749 + 1152736/53. What is the common denominator of h and 16/477? 477 Let t = 17 + 90. What is the common denominator of t*((-102)/(-108) + -1) and 16/15? 90 What is the smallest common multiple of 2 and -9 + 467/3 + 2/(-3)? 146 Let r(i) = -4. Let q(z) = z. Let w(l) = -2*q(l) - r(l). Let v be w(12). Find the common denominator of -5/7 and (-174)/(-15) + 4/v. 35 Let t(f) = -239*f + 4. Let a be t(-4). Find the common denominator of (-6)/45 + (-532)/a and 11/6. 48 Let o = -443147/18 - -24626. Calculate the common denominator of -131/222 and o. 666 What is the smallest common multiple of 192/18 - 10/6 and 151? 1359 Let j = -141 + 139. Calculate the lowest common multiple of j/4 + 69/6 + -5 and 12. 12 Let d = 31497479 + -756052151/24. Let v = d + 4699. Find the common denominator of v and 73/30. 120 Let d = 47/515 + -11509/3090. Calculate the common denominator of -163/504 and d. 2520 Let z = -966 - -974. What is the least common multiple of z and 92? 184 Let g = 43190/39611 + 2/3601. What is the common denominator of -49/8 and g? 88 Let d = -650 - -655. Calculate the smallest common multiple of 102 and d. 510 Calculate the common denominator of -47/24 and 58/(-4)*8/16. 24 Let c = -940 + 964. What is the least common multiple of c and 228? 456 Let m be (24/(-15) + 2)*-95. Let l = -3/1205 - -32601/26510. Find the common denominator of l and 10/(-25) + (m/20 - 2). 110 Let h(n) = -n - 5. Let d be h(-5). Suppose 23 = -s + 3*r, d = -5*s + r - 44 - 1. Find the common denominator of 26/39*(-126)/s and 97/20. 20 Let r(d) = d**3 - 11*d**2 - 5*d + 16. Let g(c) = -c**2 - 10*c - 1. Let j be g(-7). Suppose p + j = 3*p. What is the lowest common multiple of r(12) and p? 100 Let f = 0 + 4. Let i = 5 - f. Suppose -6*o - 3 = -4*k - o, -2*k + 5*o = i. What is the least common multiple of 14 and k? 14 Let b = 5/3102 - 22579/2068. Let a = 2/8817 - -232177/17634. Calculate the common denominator of b and a. 12 Let x(j) = -j**3 + 42*j**2 + 44*j - 32. Calculate the lowest common multiple of 56 and x(43). 616 Let q = -721815/28 + 25775. Find the common denominator of q and 41/28. 28 Let s = 899 - 857. What is the smallest common multiple of s and 92? 1932 Calculate the common denominator of -59/192 and ((-22)/(-24))/(8/1344*12). 192 Suppose -16 = -113*j + 109*j. What is the lowest common multiple of 84 and j? 84 Find the common denominator of -81/8 and 337/(-1972) - (-5)/20. 3944 Let z = -31 - -51. Let l(s) = 22 + 2*s**2 + 6*s - 3*s**2 + s. Calculate the smallest common multiple of l(9) and z. 20 Let n = -3167/7 - -51253/112. Let c = -29077197389/714 + 40724379. Let x = -9/119 + c. Find the common denominator of x and n. 48 Suppose -20 = -2*d + 34. Suppose 0 = 3*b + 3 - d. Calculate the common denominator of (-74)/b*(-12)/(-14) and 99/68. 476 What is the common denominator of 81/8 and 353/156 + 9/(-12)? 312 Suppose -13*q = -14*q
{ "pile_set_name": "DM Mathematics" }
6 - t. Suppose 0 = h*u - 2*u - 3*a - 22, 0 = 4*a + 4. Is u a composite number? False Let a(m) be the first derivative of m**4/4 - 2*m**3 - m**2/2 + 3*m + 3. Let o be a(6). Is (-152)/o + (-2)/(-6) prime? False Let g be (-1 - 11)*1068/(-24). Suppose 4*r = 1978 + g. Let m = r + -305. Is m composite? True Suppose 3*v - 5*j - 22 = -j, 6 = v - j. Suppose 3*n = -3*p + 318, -2*p + 212 = -0*n - v*n. Is p a composite number? True Suppose 4*z - 73055 = o, 41*z + 18260 = 42*z + o. Is z prime? False Let n be ((-8)/28)/((-2)/14). Let p be ((-884)/8)/((-1)/n). Suppose t = -4*f + p, -t + 245 = -f - f. Is t a prime number? False Suppose 3*x = 2*k - 4 - 2, -10 = -2*k + 2*x. Suppose k*o - 3007 - 4751 = 0. Is o a prime number? False Suppose 0 = 81*i - 90*i + 13887. Is i prime? True Suppose -4*c = 2*d - 8316, 0*c - 3*c + d = -6227. Is c a composite number? True Suppose 0 = u - 2*v, 0 = u - 2*u + 4*v. Suppose -f - 4*l = -1075, -2*l = -u*f + f - 1081. Is f prime? True Suppose -3*v + 157313 + 5890 = 2*z, -108802 = -2*v + 2*z. Is v a prime number? True Suppose -d - 33215 = -6*d. Suppose -11*s + 30856 = -d. Is s prime? False Let x = 9732 - 1275. Is x a composite number? True Suppose -t = 3*t + 48. Let n be -1 - t/(2 - -2). Suppose 6*i = n*i + 2252. Is i a composite number? False Let o be 0 - 0/(-1) - -747. Let g be (16*23)/(-2*(-7)/(-14)). Let c = o + g. Is c a prime number? True Suppose -2*y + 3 = s, 0*s - 2*y = -3*s + 9. Let z(q) = 3*q - 2*q**2 - 9 + 9*q**s + 10*q**3 - 16*q**3. Is z(4) a composite number? False Let o(p) = -6*p**3 + 99*p**2 - 19*p + 219. Let a(r) = r**3 - 20*r**2 + 4*r - 44. Let q(s) = -11*a(s) - 2*o(s). Is q(-21) prime? True Suppose -3*p = 2*l + 3, 4*l - p + 3 = -4*p. Is (-7815)/(-15)*(l + 1) a prime number? True Let z(u) be the first derivative of -27*u**2 + 3*u - 3 + 3*u - 4*u - 5*u. Is z(-5) a prime number? False Is (274/(-6))/(16/(-1968)) a composite number? True Suppose -9 = -u + 2*x, x = -4*u - u + 12. Let h(z) = -z - 3*z + u - z. Is h(-10) a composite number? False Let v = 4617 + 3045. Let g = v + -2585. Is g composite? False Let i = 1079 - -898. Is i composite? True Let a(m) = -33*m**3 - 13*m**2 + 12*m - 5. Is a(-6) a prime number? False Suppose -b = 4*b + 10. Is (-1)/b - 77/(-2) composite? True Let a be -2 + 9/(27/24). Is -586*(9/a + -2) a prime number? True Let m(v) = 8*v**2 + 8. Let b be m(-6). Suppose 4*w = 4*d - b, 0 = 2*d - w + 2*w - 145. Suppose d - 228 = -5*g. Is g a prime number? True Suppose 0 = -14*p + 13*p + 559. Let w = 1100 - p. Is w composite? False Let t = 1225 - -2674. Is t a composite number? True Let n = -5283 - -14134. Is n a prime number? False Suppose -30*j = -31*j + 2. Suppose -2*i + 183 = 2*a - 329, -i - 497 = -j*a. Is a composite? False Let m = -46 - -5952. Is m prime? False Is (-21)/126 + 58*(-2302)/(-24) a prime number? True Let z(g) = 3*g**3 - 4*g**2 + 3*g - 1. Let t be z(1). Let m(q) = 679*q**3 - 2*q**2 + q - 1. Is m(t) a prime number? True Suppose -24 + 89 = 13*c. Is 582/4*(-1 - c/(-3)) a prime number? True Let t be (-2)/10 + 52/10. Suppose -3*h + t*h = 462. Let j = h + -134. Is j a composite number? False Suppose 8*x - 5676 = 2*x. Suppose 2*o - x = -0*o. Is o composite? True Suppose -3*s - 24*w + 25*w = -344633, w = -2*s + 229752. Is s a composite number? True Let v be 233/(-3) + 1/(-3). Let s = v + -64. Let i = -59 - s. Is i prime? True Let t(c) = 898*c**2 + 6*c - 9. Let w be t(2). Let k = w + -2402. Is k a composite number? False Let r(s) be the second derivative of -7/2*s**2 - s**4 - 7*s + 0 - 1/20*s**5 + 17/6*s**3. Is r(-16) prime? False Let u = -42 + 12. Let n = 22 + u. Let j = 3 - n. Is j a composite number? False Suppose 5*u = 1065 + 6430. Is u a composite number? False Let i(b) = -38*b**2 - 1. Let a be 12/(-7) - 18/63. Let w be i(a). Let h = w - -332. Is h a composite number? False Suppose 45015 + 80891 = 22*l. Is l composite? True Let n(z) = z**3 - 7*z - 14*z**2 + 6*z**2 - 2*z**2 + 13. Is n(12) a composite number? True Suppose -397*n + 378*n = -750538. Is n composite? True Let l(z) = z**2 - 16*z + 6. Let d be l(16). Suppose k = -c + d*k + 1491, -4409 = -3*c - k. Is c prime? True Let t(i) = -2*i**3 + 6*i**2 - i + 2. Let n be t(4). Let q be n/(-8) - (-1)/(-4). Is (1 + 37)/(q/10) prime? False Suppose 43208 = 10*w - 70722. Is w prime? True Is -4 + (5629 - (-42)/7) prime? False Let q(f) = 17 + 3*f - 10 + 57*f**2 + 44*f**2 - 10. Let k = 6 - 4. Is q(k) a prime number? False Is 14352 + 2*1*3/(-2) a composite number? True Let t(w) = -2728*w - 787. Is t(-30) a composite number? True Is (117/18 - 7)/(1/(-758)) a composite number? False Let y be (1/(-2))/(2/(-24)). Let p be (16 + -1)*2/y. Is (-95)/(-15)*3*p prime? False Let h(y) = 124*y + 108. Let a(v) = 31*v + 27. Let t(n) = -9*a(n) + 2*h(n). Is t(-14) composite? True Let m(g) = g**3 - 18*g**2 + 5*g - 17. Is m(23) composite? True Let n(w) be the first derivative of 8/3*w**3 - 3 - w**2 - w. Is n(-2) a prime number? False Suppose 2*p + 3*l - 13 = p, 5*p + 4*l = 21. Let k be (4/(-8))/(p/346). Let u = k - -330. Is u a composite number? False Let v = 14 + -34. Let a(c) = 4*c + 7. Let n be a(8). Let l = v + n. Is l a composite number? False Suppose -5*w = -h - 82, -2*h + 3 + 20 = w. Let q(p) = 9*p**2 - 9*p - 11. Is q(w) a composite number? False Let p(o) = -446*o + 3. Let z be p(2). Let k = 1496 + z. Let a = k + -356. Is a prime? True Let k(l) = -39*l**2 + 2*l + 27. Let m(n) = 20*n**2 - n - 13. Let v(d) = 2*k(d) + 5*m(d). Is v(-6) composite? False Let f(s) be the third derivative of s**5/3 + s**4/3 - 7*s**3/6 + 2*s**2. Is f(-7) a prime number? False Let i be 5 - (1 + 1) - (2 + -916). Let m = 1644 - i. Is m composite? False Suppose 0*r - 266595 = -15*r. Is r a composite number? True Suppose 33*l + 13466 = 35*l. Is l prime? True Is 1/((-10)/70) + 9206 prime? True Suppose 256 = -s + 4*q, -3*q - 925 - 332 = 5*s. Let r = s + 715. Is r a composite number? False Let g = -28 + 46. Suppose 8*j - g = 2*j. Is j a prime number? True Suppose -o = -y - 1853, o - 2*o + 2*y + 1851 = 0. Suppose -9*c + 4*c = -o. Is c prime? False Let b(g) = 18*g**2 + 8*g + 13. Suppose -4*r = 2*v - 36, 4*v - 13*r + 12*r = 36. Is b(v) a composite number? True Let m(p) = 19140*p**2 - 6*p - 11. Is m(-2) prime? True Suppose r - 49 - 23 = 0. Is (r/60)/(2/35) composite? True Let g(a) = 6*a**3 - 10*a**2 - 15*a - 16. Is g(9) composite? False Let h be -3 + 3 + -4 + 2. Let q be h + -1 + 4*1. Is (98 - 9)/(q - 0) composite? False Let r(j) = j**2 - 6*j + 11. Let c be r(6). Is c/55 - 22/5*-437 a composite number? True Suppose -5*t + 35 = 5*f, -3*t - 29 = -6*t - 5*f. Let s = 5 - t. Suppose s*o - 3*o = -x + 418, -3*x - 3*o + 1236 = 0. Is x prime? False Suppose 0 = 3*v + 948 - 2418. Suppose -2*j + 7*j - 4*f = 846, -3*j + v = 2*f. Is j a composite number? True Let l be (-18676)/(-35)*(3 - 2/(-1)). Suppose 9*b = 5*b + l. Is b a composite number? True Let n = 68 + -68. Suppose -5*t - 2 - 8 = 0, -4*r - t + 930 = n. Is r composite? False Is -1 - (15 + -9 + -7046) composite? False Suppose 91440 = 37*w - 139699. Is w a prime number? True Let f = 257 + -51. Suppose -406 = -2*p - 2*n, -3*p = -2*p + 2*n - f. Let o = p - 37. Is o a composite number? False Suppose 0 = -3*c + 2*c - 619. Suppose 7*t = -3600 + 10824. Let h = t + c. Is h composite? True Let g = -13 - -13. Suppose g = 4*a - 1186 + 194. Suppose -a = -l - 0*l + 3*d, -2*l - 2*d + 472 = 0. Is l a composite number? False Let o = 13315 - 4766. Is o a composite number? True Let x(w) = 166*w**2 + 9*w + 14. Is x(-3) a composite number? False Let x = 2430 + -703. Is x prime? False Suppose -4*f = -71 + 23. Suppose 8*u - 6*u + f = 0. Let v = 40 + u. Is v prime? False Let v(f) = -120*f**3 - 3*f - 2. Let z be (-6)/4*2/3. Is v(z) a prime number? False Suppose 2*i + 0*i - 544 = 0. Suppose -k - i = -5*k. Is k + (-4 - 2)/(-2) composite? False Let z be 2 + 1 + (5 - 5). Suppose z*m - m + 626 = 0. Let y = 578 + m. Is y a prime number? False Let i(d) be the third derivative of d**6/120 - 4*d**5/15 + 5*d**4/8 + 3*d**3/2 - 136*d**2. Let h(b) = 4*b + 3. Let k be h(3). Is i(k) composite? True Suppose 0 = -3*t + 3*i - 438 + 2601, 3*t - 2177 = -4*i. Let r = 61 - 61. Suppose r = -5*d + u - 2*u + t, -2*d = -4*u - 298. Is d a composite number? True Let b(o) = -105*o**2 + o + 3. Let s be b(-5). Let
{ "pile_set_name": "DM Mathematics" }
61))/(j/7). Let f be 7/(-126)*r - 1/66. Which is the third biggest value? (a) 5 (b) -0.13 (c) f c Let g = -16.7 - -17.1. Let m = 309 + -307. Which is the second smallest value? (a) m (b) 0.1 (c) 4 (d) g d Let z = -0.2 + 4.2. Let m be 42/63*-6*(1 - 2). Let i be 7*(210/49 - m). What is the second biggest value in i, z, -3? i Suppose -8*o + 11*o + 5*m = -28, 5*o + m + 10 = 0. Let t = 0.11 - 4.21. Let l = t - -4. What is the third smallest value in l, -3/8, o? l Let s = 1/4995 - -997/9990. Which is the fifth smallest value? (a) 0.2 (b) 3 (c) 5 (d) -0.4 (e) s c Let s(i) = -2*i + 3*i + 3*i + 23 - 5*i. Let o be s(23). Let k = -0.7 - 3.3. Which is the second smallest value? (a) o (b) 0.5 (c) k a Let h be 2112/14592 - (-2)/(-8). What is the second biggest value in h, -4, -3/5, 17? h Let l = -10305 - -10312. Which is the biggest value? (a) l (b) 2 (c) -15 a Let j = -2.48 + -1.52. Let q = 120 + -120.18. Which is the biggest value? (a) 2/9 (b) q (c) -4/3 (d) j a Let f = 193/895 - -33/179. Which is the smallest value? (a) f (b) 1115 (c) -0.2 c Let u = -263 + 568. Let o = -289 + u. What is the smallest value in o, -0.4, -5, 0.3? -5 Let x = -0.6 - -1.2. Let z = -0.6 + x. Let t = 2704.9 + -2705. Which is the second biggest value? (a) -2/17 (b) 2/5 (c) t (d) z d Let l = -0.25 - -0.12. Let y = -49764 - -49764.5. What is the biggest value in -1, y, l, 2? 2 Let m = 8804 - 8759.91. Let r = m + -44. Let l be (-26)/39 + 16/15. What is the smallest value in r, l, -1/6? -1/6 Let k = -277 - -267. Let q be (-8 - -10)*(-4)/k. Which is the third smallest value? (a) q (b) -3 (c) -0.3 a Let f be (-12)/(-42)*-14 + 293 + 0. Let t = f - 292. Which is the second biggest value? (a) 110 (b) t (c) 4 c Let o = -931 - -934. What is the smallest value in -0.01, o, -35? -35 Let d be 58/(-8) + 2*17 + 757 + -783. Let c = -3 - -3.2. What is the fourth biggest value in 0.6, 10, d, c? c Let x = -23 + 23.5. Let n = -305 - -309. Which is the smallest value? (a) n (b) 2/17 (c) x (d) 2/3 b Let y = 251 - 153. Let d = -68 + y. Let b = -33 + d. What is the smallest value in b, 1, 0.9? b Suppose 159*b = -152*b + 322*b - 66. What is the smallest value in -2, -4, b, 22, -5? -5 Let a = -2.35 - -2.35. Let g = 0.2037 - -1.7963. What is the biggest value in -0.01, -4, a, g? g Suppose 5753 = 44*c - 20191 - 10356. What is the biggest value in 1, c, -0.4? c Let o = -5 - -10. Let a = 6809 + -6787. What is the third biggest value in -5, 0, a, o? 0 Let k be (5/(-1))/((-2)/(-6)). Let n = 2695 - 2695.2. What is the second biggest value in k, n, 4? n Suppose 0 = -3*w - 37 + 82. Let t be (-62)/w - (-37 - -33). Which is the third biggest value? (a) t (b) 2/9 (c) -2 c Let y = -1605/7 - -229. Let g = 137 - 136. Which is the biggest value? (a) g (b) -4 (c) 2/17 (d) y a Let v = -99/328 + -3/41. Let m = 18154 + -18151. Which is the second biggest value? (a) v (b) m (c) 39 b Let y = -204.6 - -204.57. Let v = -0.04 + -0.26. Which is the third smallest value? (a) y (b) v (c) 3 (d) 1 d Suppose 2707 + 1762 - 752 = -1239*c. Let i = -1.8 - -1.87. Let z = i - 0.37. What is the second smallest value in -2/11, z, 6/7, c? z Let s = -119 - -216. Let j = s - 96.5. Let y be 1 - 0 - 1 - -1. Which is the third smallest value? (a) -0.6 (b) y (c) j b Let n = -241.63 - -62.63. What is the third smallest value in -1/3, 0.5, -1/7, n? -1/7 Let j be 37/10 - (7 - 3). Which is the third biggest value? (a) j (b) 7 (c) 2 a Let l = -20613 - -20611. What is the biggest value in -1, -4420, l? -1 Let f = 4.3445 + -1.3445. Let u = 0.4 + -1.6. Which is the smallest value? (a) f (b) 0.1 (c) u c Let t(h) = -h**3 - 7*h**2 + 3*h + 17. Let k be t(-7). Let x be 0 + -6*(-7)/126. Which is the second smallest value? (a) -1 (b) x (c) k (d) -2 d Let v = -1336 - -1335.99. Let c(i) = -i**3 - 11*i**2 - 10*i - 1. Let a be c(-10). What is the smallest value in a, v, 2, 2/7? a Let g = -0.7 - -1.1. Let x = 2.357 - -0.043. Let s = x - 5.4. Which is the second biggest value? (a) 40 (b) g (c) s b Let k = 145 - 288. Let c be (-22)/k + 68/65. What is the biggest value in 2/21, c, -0.15? c Let c = -183156 - -183151. Let p(j) = -j**2 - 7*j - 2. Let i be p(-7). What is the biggest value in -0.53, i, c? -0.53 Let v = -59.1 + 7.8. Let x = v + 50.9. What is the second smallest value in x, 7, -0.3, -5? x Suppose 1045*d - 1090*d = 0. What is the smallest value in d, -6106, -1/5? -6106 Let z = 3.03 + -0.03. Let p = -8.2 + 2.6. Let y = p + 1.6. What is the fourth smallest value in z, y, -5, -28? z Let j(s) = -41*s - 2065. Let b be j(-50). What is the fifth biggest value in 5, -1, 1/3, 4/3, b? b Suppose 36*q = 26*q - 20. What is the second biggest value in 23, 0.4, -0.4, q? 0.4 Let x = 55423.92 - 55424. Let r = 4/19 - -3/76. Which is the biggest value? (a) -4 (b) r (c) 5 (d) x c Let r = -3.659 + 3.759. What is the third biggest value in 7, -4, 2, r? r Let s = 5407 - 3789. Suppose -s = 7*o - 386. Let r be ((-5)/6)/5*o/132. What is the biggest value in -0.3, r, -3, -15/11? r Suppose 0 = 6*f - 83 - 889. Let z = 812/5 - f. Let p = 0.02 - 0.08. Which is the second biggest value? (a) 2 (b) p (c) z c Let t = 57 - 58. Suppose 28*j - 30*j - 10 = 0. Let i = 0.28 + -0.18. Which is the second biggest value? (a) i (b) 5 (c) j (d) t a Let p = -4.2 - -4. Suppose 0 = -25*u + 26*u + 2. Let f be -3 - (u + (-4 - 33)). What is the biggest value in f, -4, p? f Let q = -41409 + 1904829/46. Which is the third smallest value? (a) 2 (b) q (c) -0.01 a Let n = -1765 - -2550. Let r = n - 785.4. Which is the third biggest value? (a) r (b) -6/11 (c) 23 b Let f(n) = 2*n**3 - 48*n**2 - 5. Let g be f(24). Let i = 1.28 - 0.28. Let s be (3/21)/(1/2). Which is the second biggest value? (a) i (b) s (c) g b Let j be (-326)/(-10) + 8/20. Let v be j/36 + 2/(-3). Let g = 0.054326 + 0.245674. What is the third smallest value in v, g, 2/9? g Let h = -3178 - -3297. Which is the third biggest value? (a) -0.4 (b) -3 (c) h b Let w = 0.034 + 1.026. Let c = 0.96 - w. What is the second biggest value in c, -5, 0.03? c Let j be ((-2)/6)/((-15)/(-9)). Let g = -6520 + 6520.2. Which is the third smallest value? (a) 2 (b) j (c) 23/4 (d) g a Let v = 5923.99 + -5924. Which is the third biggest value? (a) 0.4 (b) v (c) 1/3 b Let s = -9020 - -9020. Which is the third biggest value? (a) 4 (b) 0.4 (c) s (d) 0.049 (e) 2 b Let m = -2831/35 - -569/7. Which is the third biggest value? (a) m (b) 3/7 (c) -3 (d) 3 a Let y = -9677/14547 - 7/4849. Which is the second smallest value? (a) 2 (b) y (c) -2.33 (d) -2 d Let v be (-2 + 1)/(1/((-23)/92)). What is the fourth biggest value in -0.3, 4/3, 1/3, v? -0.3 Let y = 446 - 479.2. Let k = 30.2 + y. Which is the fourth smallest value? (a) -1 (b) 0 (c) 1 (d) k c Suppose -2*k - b + 64 = -3*k, 124 = -2*k + 3*b. Let y = 61 + k. What is the second smallest value in -0.2, y, -1, 0? -1 Let j(n) = 7*n + 1. Let k be j(-1). Let q = k - -16/3. Let w = -9466 + 9463. Which is the second smallest value? (a) w (b) 1 (c) q c Let u = 0.0306 - 21.7306. Let m = -22.3 - u. What is the fourth biggest value in 4, 1/3, m, -2/5? m Let w be 3/2 + (-74)/(-4). Let k = -21 + w. Let x = -0.036 + -1.964. Which is the second smallest value? (a) -3 (b) x (c) -0.2 (d) k b Let p = -0.08921 + 0.18921. What is the second smallest value in -0.5, -5, p, -176/3? -5 Let a = -23483 - -23484. What is the third smallest value in 5, 2/7, a, -3, 0.3? 0.3 Let f = 2244 + -2242. Which is the biggest value? (a) 4 (b) f (c) -4 a Let f = 97475.1 + -97475. Let s = -272 + 2990/11. What is the second biggest value in s, -24, -3/5, f? s Let s(l) = l**2 - 2*l - 33. Let w be s(0). Let r = 24 + w. What is the second smallest value in -1, 3, r? -1 Let k = -0.8 + 1.3. Let r = -0.07854 + -2.92146. Suppose -j + 4*g = 21, -j + 9 = 2*g - 0*g. Which is the fourth smallest value? (a) k (b) -2 (c) j (d) r a Let i = -335.985 + 334.985. Let n = 13 - 9. Which is the biggest value? (a) 0 (b) i (c) n c Let o = 254.2 + -259.2. Which is the third smallest value? (a) 3/2 (b) o (c) -0.006 a Suppose -4*h + 3*x + 5 = -2, 3*x = 2*h - 5. What is the second smallest value in -6/5, h, -6, -10/39? -6/5 Let z = -91.86 - -88.86. Which is the second small
{ "pile_set_name": "DM Mathematics" }
-1241, 1 in decreasing order. 5, 3, 1, -18, -54, -1241 Put 9, -2, -10, -93, -28 in decreasing order. 9, -2, -10, -28, -93 Sort 0.49, -1, -3/4804. -1, -3/4804, 0.49 Sort 4, -37, -1141, 2587 in decreasing order. 2587, 4, -37, -1141 Put 6/7, 0.4, -0.6, -1.5346, 1/103 in increasing order. -1.5346, -0.6, 1/103, 0.4, 6/7 Sort 6567, -4, -73, 100. -73, -4, 100, 6567 Sort -4, -6, 7, -9, -15, 2, -5 in ascending order. -15, -9, -6, -5, -4, 2, 7 Sort 0.13, -1/3, 1, -251, 3.4. -251, -1/3, 0.13, 1, 3.4 Sort -187, -9, -1, 15, 3, 14, -2 in increasing order. -187, -9, -2, -1, 3, 14, 15 Put -6, 0.78484, -184 in descending order. 0.78484, -6, -184 Sort 31586, 3, -390. -390, 3, 31586 Sort 1, 4, -12, -442283 in descending order. 4, 1, -12, -442283 Sort -4, 5, -5, 78, 151, 1, -415. -415, -5, -4, 1, 5, 78, 151 Sort -5, 0.3, -0.2, 21220 in decreasing order. 21220, 0.3, -0.2, -5 Put -27/5, -587, 0.8 in descending order. 0.8, -27/5, -587 Put 5, 72, -8, -24 in increasing order. -24, -8, 5, 72 Put 1, 1/8579, -1.4, 5, -0.6 in decreasing order. 5, 1, 1/8579, -0.6, -1.4 Sort -0.03, -44.1, -1347, 7 in increasing order. -1347, -44.1, -0.03, 7 Put -6, 2, 5, 4, 118, -5, -152 in descending order. 118, 5, 4, 2, -5, -6, -152 Put 83712, -5, 2, -10, 5 in decreasing order. 83712, 5, 2, -5, -10 Sort -4, -1, 3, 5, -216194 in ascending order. -216194, -4, -1, 3, 5 Sort -1421, -3/2, -2208, -1/2 in descending order. -1/2, -3/2, -1421, -2208 Put -5955, -41, 165 in increasing order. -5955, -41, 165 Put -6, 2, -2, 1005, -235 in ascending order. -235, -6, -2, 2, 1005 Sort -1, 9, 36, 1, 4, -35, -4 in decreasing order. 36, 9, 4, 1, -1, -4, -35 Sort -16902, 8, -2, 1 in descending order. 8, 1, -2, -16902 Sort -0.4, -129, -0.3061, 0 in descending order. 0, -0.3061, -0.4, -129 Sort 53, 3, 11, -7940. -7940, 3, 11, 53 Sort -3, -193, 1204666. -193, -3, 1204666 Sort 5, -29, 53, -4, -3, 0 in decreasing order. 53, 5, 0, -3, -4, -29 Sort 5/2, -7, -1/2, 2, 1/7, -0.28 in descending order. 5/2, 2, 1/7, -0.28, -1/2, -7 Sort 13, 2, 0, -6, -2, -3875. -3875, -6, -2, 0, 2, 13 Sort -3, -1, 83269, 0. -3, -1, 0, 83269 Sort 116, -63, -5, -76, 0, 2 in decreasing order. 116, 2, 0, -5, -63, -76 Put -54, 12, -66/7, 0, 1/5 in descending order. 12, 1/5, 0, -66/7, -54 Sort 7, -4, 115, -315, -5 in ascending order. -315, -5, -4, 7, 115 Put 5, -4, 820, 488, 11 in ascending order. -4, 5, 11, 488, 820 Put 44, 1/2493, 3, 0.25 in decreasing order. 44, 3, 0.25, 1/2493 Sort 3, -94, -0.5, 39, -1.403 in decreasing order. 39, 3, -0.5, -1.403, -94 Put 343, 86.432, 3 in increasing order. 3, 86.432, 343 Put -26, -3, -3382, 0.1 in descending order. 0.1, -3, -26, -3382 Sort -48, -3, -25, 4, 720 in decreasing order. 720, 4, -3, -25, -48 Put -10, -298, -270 in descending order. -10, -270, -298 Sort -45, -2, 1875, 1, -1, -3 in increasing order. -45, -3, -2, -1, 1, 1875 Put 0.078, -0.06, 3319 in ascending order. -0.06, 0.078, 3319 Sort -27, 0, -0.4, -44, 0.1304 in descending order. 0.1304, 0, -0.4, -27, -44 Sort 3, 4040, -4, -362. -362, -4, 3, 4040 Sort 16043, -2, -4, 1 in increasing order. -4, -2, 1, 16043 Put -4, -138, 4, 3, -33, 0, 1 in increasing order. -138, -33, -4, 0, 1, 3, 4 Sort -72, 167717, -6. -72, -6, 167717 Put -3, 65, -961585 in descending order. 65, -3, -961585 Sort 1, -9, -3/4, 17, -2/101. -9, -3/4, -2/101, 1, 17 Put 68, 27, 249.7 in descending order. 249.7, 68, 27 Sort 13, 134, -27422. -27422, 13, 134 Put -1/9, -1.92, -0.3, -8, 2, -1 in descending order. 2, -1/9, -0.3, -1, -1.92, -8 Sort -2, 2, -188, -12143, -4 in ascending order. -12143, -188, -4, -2, 2 Sort -0.125488, 32, -3 in decreasing order. 32, -0.125488, -3 Sort -1, -27/7, 0.01377, 29 in decreasing order. 29, 0.01377, -1, -27/7 Put -1, 15210532, -17 in ascending order. -17, -1, 15210532 Sort -27, -2, 3, -22, 1, 15, 2 in descending order. 15, 3, 2, 1, -2, -22, -27 Put 30, -40858, -8 in descending order. 30, -8, -40858 Put -25, -4, -9/11, -32/187 in descending order. -32/187, -9/11, -4, -25 Sort -32/11, 2/3, 4.934, 4. -32/11, 2/3, 4, 4.934 Put -1/2, -3, 41.114 in decreasing order. 41.114, -1/2, -3 Sort 106, 27, -1, 211, -2, 5 in increasing order. -2, -1, 5, 27, 106, 211 Put -2/43, 2, -120493 in decreasing order. 2, -2/43, -120493 Put 1, 4, -19, 3, -12, -76 in decreasing order. 4, 3, 1, -12, -19, -76 Sort -0.4, -4395817, -4, -2/9 in descending order. -2/9, -0.4, -4, -4395817 Put -263, 2, -3, 0, 70, 0.5 in descending order. 70, 2, 0.5, 0, -3, -263 Sort -48908, -1/6, 2/5, -2/97 in decreasing order. 2/5, -2/97, -1/6, -48908 Sort -39302, -34, 2 in decreasing order. 2, -34, -39302 Put 1.1, -1/3, -291, 1, 1686 in decreasing order. 1686, 1.1, 1, -1/3, -291 Put -41, -6, 23, -135, -1, -3 in ascending order. -135, -41, -6, -3, -1, 23 Sort -4, -5, 70, -1, 0, -374, 1 in increasing order. -374, -5, -4, -1, 0, 1, 70 Sort -1859, 1, -48.7, 3 in increasing order. -1859, -48.7, 1, 3 Sort 1428, 3, 6, -4 in descending order. 1428, 6, 3, -4 Sort -0.74318, -3, -8, -18, -2/13 in descending order. -2/13, -0.74318, -3, -8, -18 Put 1066, 1, 78, 5, 3 in descending order. 1066, 78, 5, 3, 1 Put 1, -252.56484, -5 in descending order. 1, -5, -252.56484 Sort 4, -47, 5, -11, -33, -4 in increasing order. -47, -33, -11, -4, 4, 5 Put -105, 3, -157, 1, -1, -2, 4 in ascending order. -157, -105, -2, -1, 1, 3, 4 Sort 0, 3, -2/9, -0.2, 5, 19.379 in decreasing order. 19.379, 5, 3, 0, -0.2, -2/9 Sort -2/5, 1/3, -5/6, 18.74, 2 in decreasing order. 18.74, 2, 1/3, -2/5, -5/6 Sort 16, 5, 376, 0.01, -0.4, 2, -47 in ascending order. -47, -0.4, 0.01, 2, 5, 16, 376 Sort -31, -7, 3, 13, 25, 5, 4 in descending order. 25, 13, 5, 4, 3, -7, -31 Sort -1, -27, -2/7, -0.3, -55, 11/5 in descending order. 11/5, -2/7, -0.3, -1, -27, -55 Sort -0.5, -4, 3, -4/9, 1/4, 1614. -4, -0.5, -4/9, 1/4, 3, 1614 Sort 1585, -2, 174, -1, -4 in increasing order. -4, -2, -1, 174, 1585 Put -10470, -1/2, 9.37, -4 in decreasing order. 9.37, -1/2, -4, -10470 Sort -5, 15, 24/5 in ascending order. -5, 24/5, 15 Sort -185, -2, 32671. -185, -2, 32671 Sort -308, -0.08, 2/159, 11, -5, 1 in increasing order. -308, -5, -0.08, 2/159, 1, 11 Sort -13, -71, 3866 in ascending order. -71, -13, 3866 Sort -4, -15, 269, 85, 3, -6, -2. -15, -6, -4, -2, 3, 85, 269 Sort 2/11, -26, -77.843 in ascending order. -77.843, -26, 2/11 Sort -5, -3, 4777, 5, 7 in decreasing order. 4777, 7, 5, -3, -5 Put -5106, -6, -25, 0 in descending order. 0, -6, -25, -5106 Sort -0.3743, -2/17, -5486. -5486, -0.3743, -2/17 Put 713, 0.117, 1/10, 2/9, 0.07 in descending order. 713, 2/9, 0.117, 1/10, 0.07 Sort -3, 7, -2/11, -1/6, -17/6 in ascending order. -3, -17/6, -2/11, -1/6, 7 Sort -0.1, 3/4, -0.2, -1189, -0.11 in decreasing order. 3/4, -0.1, -0.11, -0.2, -1189 Sort 0.3, -2, -9584, 9 in increasing order. -9584, -2, 0.3, 9 Sort -0.4, 0.9, 36/11, 16190. -0.4, 0.9, 36/11, 16190 Sort 6, -3, 2, -23615. -23615, -3, 2, 6 Put 4, 0, -44, -68671, -1 in descending order. 4, 0, -1, -44, -68671 Sort -6, -13, 4, 9, -21, 1, -2. -21, -13, -6, -2, 1, 4, 9 Sort -25, -5, 3996, -0.4 in descending order. 3996, -0.4, -5, -25 Sort 12, -2, -114, -91, 3, 5, -3 in decreasing order. 12, 5, 3, -2, -3, -91, -114 Put -29, -0.333, -0.002, -60 in decreasing order. -0.002, -0.333, -29, -60 Sort -0.6, 4, -1, -9461/11 in decreasing order. 4, -0.6, -1, -9461/11 Put -827, 5, -52/5 in ascending order. -827, -52/5, 5 Put 1, -20, -188, -91, 0.1 in decreasing order. 1, 0.1, -20, -91, -188 Sort -38, -298/7, 4, -89. -89, -298/7, -38, 4 Put 0.4, -160.9498, 0.5 in increasing order. -160.9498, 0.4, 0.5 Put -3.1, -3, -6/7, 4, -1622 in descending order. 4, -6/7, -3, -3.1, -1622 Sort -6, 8, 11997, -13 in increasing order. -13, -6, 8, 11997 Put -0.4, -2/39, 5025, 0.4, 3 in ascending order. -0.4, -2/39, 0.4, 3, 5025 Sort 1295946, -2, 4 in descending order. 1295946, 4, -2 Put -0.3997, 2, 2/19, 404, 0.1 in increasing order. -0.3997, 0.1, 2/19, 2, 404 Sort 3, -5, 4, 100844 in ascending order. -5, 3, 4, 100844 Put -17, 9, 4.15, 2/7, 1 in decreasing order. 9, 4.15, 1, 2/7, -17 Sort -17, -11, 67/8, 2/7. -17, -11, 2/7, 67/8 Sort 320, 84, 2, 0.2, -3. -3, 0.2, 2, 84, 320 Sort -140015, 5, 58. -140015, 5, 58 Sort -5027, -3, -455 in decreasing order. -3, -455, -5027 Put -404, -76, -160 in decreasing order. -76, -160, -404 Sort -1, -822, 6933 in increasin
{ "pile_set_name": "DM Mathematics" }
alculate prob of sequence ed when two letters picked without replacement from {x: 4, d: 9, e: 1}. 9/182 What is prob of sequence no when two letters picked without replacement from {n: 2, o: 10}? 5/33 Three letters picked without replacement from {m: 1, l: 1, u: 1, y: 2, n: 2}. What is prob of sequence mnu? 1/105 Calculate prob of sequence fzm when three letters picked without replacement from ymzzzyf. 1/70 Four letters picked without replacement from {p: 1, z: 5, s: 1, v: 4, n: 7, l: 2}. What is prob of sequence svpv? 1/9690 Two letters picked without replacement from {r: 1, j: 3, g: 2, k: 3, l: 3, y: 2}. What is prob of sequence gj? 3/91 Calculate prob of sequence urgu when four letters picked without replacement from ubguruvgu. 1/126 Four letters picked without replacement from {i: 1, p: 5, y: 1, z: 2, r: 3, e: 1}. What is prob of sequence ierz? 1/2860 What is prob of sequence qj when two letters picked without replacement from ibbjq? 1/20 Calculate prob of sequence vlvv when four letters picked without replacement from {v: 3, l: 3}. 1/20 What is prob of sequence nn when two letters picked without replacement from {t: 1, d: 1, n: 2, s: 2, e: 1}? 1/21 Three letters picked without replacement from zrrrrtzrrtrz. What is prob of sequence tzr? 7/220 What is prob of sequence bmm when three letters picked without replacement from {m: 14, b: 5}? 455/2907 Three letters picked without replacement from {o: 2, g: 1, y: 1, u: 1, n: 2, i: 1}. Give prob of sequence yin. 1/168 Calculate prob of sequence ps when two letters picked without replacement from {p: 5, s: 7, x: 3, l: 2}. 35/272 What is prob of sequence xbxw when four letters picked without replacement from {b: 4, w: 3, d: 6, x: 2}? 1/1365 Four letters picked without replacement from bgdgbwb. What is prob of sequence bwgd? 1/140 Two letters picked without replacement from keekkeekkekkkkkkek. What is prob of sequence ke? 4/17 Calculate prob of sequence ccct when four letters picked without replacement from {t: 15, c: 3}. 1/816 Calculate prob of sequence qq when two letters picked without replacement from {s: 1, j: 11, q: 3, r: 4}. 1/57 Two letters picked without replacement from {q: 10}. What is prob of sequence qq? 1 Four letters picked without replacement from {o: 1, c: 6, i: 3, g: 1, v: 3}. What is prob of sequence gici? 3/2002 Calculate prob of sequence umg when three letters picked without replacement from {m: 3, u: 6, g: 4, v: 6}. 4/323 Two letters picked without replacement from onfbnfnbfbfboonbsf. What is prob of sequence bn? 10/153 Calculate prob of sequence rw when two letters picked without replacement from {v: 2, o: 3, r: 1, w: 1}. 1/42 Two letters picked without replacement from {m: 6, d: 7}. Give prob of sequence mm. 5/26 Two letters picked without replacement from {z: 2, d: 11}. Give prob of sequence zz. 1/78 Calculate prob of sequence ke when two letters picked without replacement from {m: 2, e: 3, z: 4, k: 1}. 1/30 What is prob of sequence pjt when three letters picked without replacement from {p: 4, j: 5, t: 6, h: 1}? 1/28 Three letters picked without replacement from eeeaeeoaeoe. What is prob of sequence aoe? 14/495 Calculate prob of sequence pppj when four letters picked without replacement from jjjpjjppjjpjjj. 10/1001 Two letters picked without replacement from {q: 5, f: 11}. What is prob of sequence qq? 1/12 Four letters picked without replacement from {v: 2, n: 4, i: 1, l: 2, x: 5}. What is prob of sequence lixx? 5/3003 Three letters picked without replacement from zznnnnnz. Give prob of sequence nnz. 5/28 Calculate prob of sequence qrq when three letters picked without replacement from rrqqqrrrqqrrqrrrrr. 5/68 What is prob of sequence nyy when three letters picked without replacement from nnnnyynyyynnyynnnnn? 28/323 What is prob of sequence zcyy when four letters picked without replacement from zczzczcyyczczyc? 3/455 What is prob of sequence kk when two letters picked without replacement from kkkkk? 1 Two letters picked without replacement from {n: 9, c: 10}. What is prob of sequence cn? 5/19 What is prob of sequence pf when two letters picked without replacement from {p: 6, f: 1, r: 3, w: 5}? 1/35 Calculate prob of sequence ffff when four letters picked without replacement from yyffyfffyfyyyyyyyy. 1/204 Two letters picked without replacement from fkoottpg. Give prob of sequence gt. 1/28 Four letters picked without replacement from {q: 7, z: 4}. What is prob of sequence zzzq? 7/330 What is prob of sequence ffff when four letters picked without replacement from fefffffffffffff? 11/15 Calculate prob of sequence izu when three letters picked without replacement from iuyuzdy. 1/105 Calculate prob of sequence vl when two letters picked without replacement from {l: 1, v: 1, e: 1}. 1/6 Three letters picked without replacement from {r: 5, n: 9}. What is prob of sequence nnn? 3/13 Calculate prob of sequence zkx when three letters picked without replacement from {x: 1, w: 2, z: 1, k: 1, h: 2, c: 2}. 1/504 Four letters picked without replacement from fifcoihijhoo. What is prob of sequence oiii? 1/660 Two letters picked without replacement from bbntwfcnc. What is prob of sequence ct? 1/36 Calculate prob of sequence xi when two letters picked without replacement from aaaaaxaxaiaoaaioxxo. 4/171 Four letters picked without replacement from {h: 14, o: 1}. What is prob of sequence hhhh? 11/15 What is prob of sequence zz when two letters picked without replacement from {z: 4, k: 3}? 2/7 Four letters picked without replacement from {g: 3, m: 1, v: 1, z: 6, c: 2}. Give prob of sequence zcgc. 3/1430 What is prob of sequence cxdx when four letters picked without replacement from {m: 2, x: 3, c: 1, s: 1, j: 1, d: 4}? 1/495 What is prob of sequence ox when two letters picked without replacement from {h: 2, j: 1, o: 1, n: 3, q: 3, x: 3}? 1/52 Two letters picked without replacement from zxxzmmzmmlz. What is prob of sequence mm? 6/55 What is prob of sequence jj when two letters picked without replacement from jppjpjpppppjpp? 6/91 Three letters picked without replacement from {d: 13, r: 3, j: 4}. Give prob of sequence jjd. 13/570 Four letters picked without replacement from {n: 5, t: 1, l: 1, x: 3, z: 1}. Give prob of sequence xzlx. 1/1320 Four letters picked without replacement from {o: 1, c: 1, e: 2, u: 1, g: 4, p: 3}. Give prob of sequence eepg. 1/495 Three letters picked without replacement from {f: 2, l: 1, e: 4, t: 2, x: 4, g: 1}. Give prob of sequence fxg. 1/273 What is prob of sequence br when two letters picked without replacement from {r: 2, b: 11}? 11/78 Calculate prob of sequence gveh when four letters picked without replacement from eevhhevtghh. 1/330 Four letters picked without replacement from vatavvvatv. What is prob of sequence tatv? 1/168 Three letters picked without replacement from ptppgptptkgppppgppgg. What is prob of sequence ggt? 1/114 Four letters picked without replacement from {l: 4, b: 3, y: 7}. Give prob of sequence ylyb. 3/143 What is prob of sequence ga when two letters picked without replacement from {g: 5, k: 1, a: 11}? 55/272 Calculate prob of sequence cm when two letters picked without replacement from cpmppppyqhphqpppcpym. 1/95 Three letters picked without replacement from {q: 6, t: 13}. What is prob of sequence qqq? 20/969 Four letters picked without replacement from fcfvfcfcvfvvvvvv. Give prob of sequence ffcf. 3/728 Three letters picked without replacement from {l: 4, g: 1, y: 8, n: 7}. What is prob of sequence ngy? 7/855 Two letters picked without replacement from {t: 1, x: 2, a: 1, p: 4}. Give prob of sequence xt. 1/28 What is prob of sequence iaxk when four letters picked without replacement from amkfmxi? 1/840 Calculate prob of sequence iw when two letters picked without replacement from {i: 1, w: 3}. 1/4 Two letters picked without replacement from ljujuujjuu. Give prob of sequence uj. 2/9 Three letters picked without replacement from {c: 3, d: 3, n: 1, l: 5, f: 1, a: 2}. What is prob of sequence cdc? 3/455 Calculate prob of sequence fqe when three letters picked without replacement from {e: 1, f: 5, b: 3, q: 3, y: 1}. 5/572 Two letters picked without replacement from eaaaaeaaeaaeaeaaae. Give prob of sequence ea. 4/17 What is prob of sequence jj when two le
{ "pile_set_name": "DM Mathematics" }
rst derivative of 2*y**5 + y**4/4 - 5*y**2/2 - 15*y + 213. Find the second derivative of q(b) wrt b. 120*b**2 + 6*b Let l(y) be the second derivative of -53*y**6/15 - 4*y**3/3 - 2*y**2 + 13*y - 3. What is the second derivative of l(x) wrt x? -1272*x**2 Let f = -3006 + 3010. Let h(c) be the second derivative of 0*c**3 + 0*c**2 + 2/3*c**f + 0 + 0*c**5 - 1/10*c**6 + 14*c. Find the third derivative of h(w) wrt w. -72*w Let g(x) be the second derivative of 167*x**5/4 - x**3/2 + 93*x**2 + 39*x - 5. Find the second derivative of g(h) wrt h. 5010*h Let y(c) = -68*c**4 + c**3 - 94*c**2 + 4*c - 3. Let p(b) = -b**4 - b**3 + b**2 - b + 1. Let z(l) = 3*p(l) + y(l). Find the third derivative of z(f) wrt f. -1704*f - 12 Find the third derivative of c + 19*c**2 + c - 884*c**4 + 736*c**4 - 2*c wrt c. -3552*c Let c(n) = 15*n + 12. Let r(q) = q**3 + 20*q**2 + 20*q + 24. Let i be r(-19). Let p(u) = u - 1. Let d(h) = i*p(h) - c(h). What is the derivative of d(k) wrt k? -10 Differentiate 3298 + 52*d - 1646 - 1654 + 2*d**2 - d**2 wrt d. 2*d + 52 Let w(d) = -131*d**3 - 11*d**2 - 92*d - 11. Let n(p) = -33*p**3 - 3*p**2 - 23*p - 3. Let i(g) = 22*n(g) - 6*w(g). What is the second derivative of i(y) wrt y? 360*y Suppose 23 + 21 = 11*q. Let s(w) be the third derivative of -1/15*w**6 - 1/3*w**3 + 0*w**q + 0 + 0*w**5 + 6*w**2 + 0*w. What is the derivative of s(o) wrt o? -24*o**2 Let k(i) = 19*i**3 + 7*i**2 - 9*i - 257. Let f(a) = 9*a**3 + 4*a**2 - 5*a - 129. Let q(u) = 7*f(u) - 4*k(u). What is the first derivative of q(j) wrt j? -39*j**2 + 1 What is the derivative of 72*f - 20*f + 39 - 6*f wrt f? 46 Let r(k) = 31*k + 7 + 7*k**3 - 26*k - 40. Let c(u) = 7*u**3 + 4*u - 32. Let m(o) = -5*c(o) + 4*r(o). Differentiate m(f) with respect to f. -21*f**2 Find the first derivative of -190*g**4 + 34*g**4 - 168*g**4 - 20*g**4 - 479 + 341 wrt g. -1376*g**3 Let x(t) = -t + 1. Let y(b) = 6*b + 22. Suppose -20 = -5*f - 35. Let i(h) = f*x(h) - y(h). What is the derivative of i(q) wrt q? -3 What is the third derivative of -507*a**3 - 66*a + 97*a - 83*a**2 + 92*a**2 wrt a? -3042 Find the second derivative of 102*g + 87*g**3 + 7*g**3 - 8*g wrt g. 564*g Suppose -11*i = -25 - 19. Let w(k) be the second derivative of 1/10*k**5 + 0 + 1/3*k**i + 0*k**3 - 5*k + 0*k**2. What is the third derivative of w(z) wrt z? 12 What is the second derivative of 10*x**4 - 20 - 78*x**2 - x + 64*x**2 + 5*x + 4 + 0*x wrt x? 120*x**2 - 28 Let o(l) = -233*l**3 + 110*l**2. Let m(b) = 467*b**3 - 220*b**2. Let y(i) = 3*m(i) + 7*o(i). Find the third derivative of y(j) wrt j. -1380 Let d(n) = 4*n - 41. Let s be d(11). Find the second derivative of 251*a + 10*a**s - 259*a + 23*a**3 wrt a. 198*a Let o(i) be the first derivative of 1/2*i**2 + 26*i + 7. Differentiate o(t) with respect to t. 1 Let b(n) = -n - 1. Let p(y) = -5*y**4 + 5*y + 8. Let l = 3 - 5. Let r be -1*-2*1/l. Let i(c) = r*p(c) - 5*b(c). What is the first derivative of i(g) wrt g? 20*g**3 Suppose -4*f - 1 = 11. Let i(z) = z**4 - 10*z + 3. Let x(d) = 9*d - 2. Let b(j) = f*x(j) - 2*i(j). Find the second derivative of b(t) wrt t. -24*t**2 Let o(r) be the second derivative of 400*r**3/3 + 198*r**2 - 2*r + 2. What is the first derivative of o(w) wrt w? 800 Suppose 7*q + 2 = 30. Find the second derivative of -11*y + 21*y**q + 384*y**2 - 384*y**2 wrt y. 252*y**2 Let q(w) = 8*w + 6. Let h(k) = k - 1. Suppose -f + v = 0, 3*f + 3*v = 6 + 18. Let b(c) = f*h(c) + q(c). Differentiate b(l) wrt l. 12 Let p(j) be the second derivative of 0 - 8/3*j**3 + 0*j**2 + j**4 + 25*j. Find the second derivative of p(d) wrt d. 24 Let d(c) = 286*c**4 - 3*c**3 - 14*c**2 + 6*c + 3. Let g(a) = a**4 + a**3 + 2*a**2 - 2*a - 1. Let q(o) = d(o) + 3*g(o). Find the third derivative of q(n) wrt n. 6936*n What is the third derivative of -16 - 2*c**2 + 13 - 3*c**2 - 2*c**2 - 6*c**2 + 45*c**3 wrt c? 270 Let y(c) be the third derivative of -71*c**5/60 - 11*c**4/6 - c**2 + c. Find the second derivative of y(p) wrt p. -142 What is the second derivative of -80*b**2 - 156*b**2 + 259*b - 66*b**2 - 93*b**2 - 25*b**2 wrt b? -840 Suppose 9 = 3*s + 6. Find the first derivative of 6 + 13 + 13*g**2 + s - 2 wrt g. 26*g Let x(n) be the third derivative of n**6/90 + 5*n**4/12 + 5*n**3/6 + 12*n**2. Let y(i) be the first derivative of x(i). Differentiate y(o) wrt o. 8*o Suppose -2*n - 2 = 0, -3*t - 4*n - 3 = 1. Differentiate -5 + t - 2 + 2*d**2 - 4 wrt d. 4*d Let w(t) = t**3 + 5*t**2 - 2*t + 1. Let m be w(-5). Find the second derivative of 354 - 354 + 6*b + m*b**4 wrt b. 132*b**2 Find the third derivative of -44*q + 7*q - q**2 + 471*q**5 + 3*q**2 - 350*q**5 + 453*q**5 wrt q. 34440*q**2 Suppose 53 - 28 = 5*u. Find the second derivative of -11*p**3 + 9*p - u*p - 5*p wrt p. -66*p Suppose -3*s - 2*s + 275 = 0. Find the third derivative of -108*r + s*r + 22*r**2 - 18*r**4 + 53*r wrt r. -432*r Suppose 48 = 3*v - 0*v. Let c = v + -9. Find the third derivative of c*s + 6*s**4 - s - 6*s - 4*s**2 wrt s. 144*s Let o(u) = -72*u**2 - 33*u + 4. Let p(n) = -144*n**2 - 66*n + 10. Let v(x) = -5*o(x) + 2*p(x). Find the second derivative of v(f) wrt f. 144 Let z be (-98)/(-147) - (-3)/((-18)/(-20)). What is the derivative of 4 + 15 - 21*n**z + 5 wrt n? -84*n**3 Let t(y) be the first derivative of -131*y**5/5 - 35*y**2/2 - 123. Find the second derivative of t(v) wrt v. -1572*v**2 Let u(t) = 8*t + 5*t - 2 - 1. Let n(p) be the first derivative of -16*p**2 + 8*p - 18. Let i(v) = 5*n(v) + 12*u(v). What is the first derivative of i(w) wrt w? -4 Suppose o - 21 = -3*z, -5*o + 2*z + 25 = z. Differentiate -o*m**3 + m**3 - 63 + 81 wrt m. -15*m**2 Let s(l) = 2*l + 38. Let q be s(-18). Find the third derivative of -5 - 8 - 4*h**6 + 13 - 11*h**q wrt h. -480*h**3 Let b = 262 - -120. Find the third derivative of -39*q**5 - 382*q**3 + b*q**3 + 23*q**2 wrt q. -2340*q**2 What is the third derivative of -6*a + 2*a - 6*a + 308*a**6 + 9*a + 11*a**2 + a**2 wrt a? 36960*a**3 Let p = -68 - -70. Find the second derivative of -10 - 8*y**5 + 17*y + 12 - p wrt y. -160*y**3 Let i(q) = -638*q**2 + 18*q - 19. Let b(d) = -212*d**2 + 6*d - 7. Let k(h) = 11*b(h) - 4*i(h). What is the second derivative of k(c) wrt c? 440 Let z(g) = -3*g**2 + g. Let y(b) = -545*b**2 - 7*b - 121. Let t(l) = y(l) + 7*z(l). Differentiate t(i) with respect to i. -1132*i Suppose 3*b = b + 18. Find the second derivative of 27*d + 5*d**3 - 6*d**3 + b*d**3 - 25*d wrt d. 48*d Suppose -q - 2 = -2*s + 1, -3 = -3*q. Differentiate -7*g + 7*g + 5 + 14 + 21*g**s wrt g. 42*g Let i(l) = -8*l**3 - 22*l**2 + 4*l + 4. Let m = 58 - 54. Let k(o) = o**3 - o**2 + o + 1. Let s(c) = m*k(c) - i(c). What is the third derivative of s(z) wrt z? 72 Find the second derivative of -9*f**5 + 88*f + 1 - 64*f + f**3 - 4 + 3 wrt f. -180*f**3 + 6*f Find the second derivative of -45*s**5 - 40 - 10 - 4 + s wrt s. -900*s**3 Let g(z) be the third derivative of 0 + 0*z**3 + 0*z + 0*z**4 - 3/112*z**8 + 0*z**7 + 0*z**6 + 7/30*z**5 - 11*z**2. What is the third derivative of g(w) wrt w? -540*w**2 Let l(m) = -89*m**3 + 4*m**2 - 2*m - 9. Let i(r) = 445*r**3 - 22*r**2 + 11*r + 45. Let o(f) = -4*i(f) - 22*l(f). What is the first derivative of o(p) wrt p? 534*p**2 Let s(h) be the third derivative of h**9/504 - 4*h**8/21 + 103*h**5/60 + 104*h**2. Find the third derivative of s(d) wrt d. 120*d**3 - 3840*d**2 Let t = -39 + 39. What is the second derivative of t*m + 4*m**3 - 20*m**3 + m + 4*m wrt m? -96*m Let g(x) = -9*x + 23*x**2 - 2*x - 2 + 4 - 8*x. Let q(u) = -115*u**2 + 94*u - 11. Let m(s) = 11*g(s) + 2*q(s). Find the second derivative of m(y) wrt y. 46 Find the third derivative of 6*u**3 + 15*u**4 - 4*u**3 - 148*u**2 + 0*u**3 - 120*u**4 + 13*u**4 wrt u. -2208*u + 12 Let l(h) be the second derivative of 3*h**8/56 + 19*h**5/20 + 29*h**4/12 - 62*h. Find the third derivative of l(m) wrt m. 360*m**3 + 114 Let o be 2/(-1 - (-3 - -3)). Let q be (3/o)/((-3)/6). Find the first derivative of 7 - 7 - q - 9*t**2 wrt t. -18*t Let l(r) = -r**3 + 17*r**2 + r + 21. Let i(x) = -2*x + 1. Let w(p) = -3*i(p) + l(p). Find the second derivative of w(o) wrt o. -6*o + 34 Let a = 55 - 28. Find the third derivative of 17*j**2 + 6*j**6 - 5*j**2 + 35*j**6 + a*j**2 wrt j. 4920*j**3 Differentiate 161 - 329*a - 269*a + 442*a wrt a. -156 Let j(s) = -209*s**4 + 6*s**3 + 5
{ "pile_set_name": "DM Mathematics" }
190218 and 10999. 647 Calculate the greatest common divisor of 602712 and 54. 18 What is the greatest common divisor of 675064 and 26? 26 Calculate the greatest common factor of 1800 and 1410480. 360 What is the greatest common factor of 56988 and 2988? 36 What is the highest common factor of 1584 and 539352? 792 What is the highest common factor of 184402 and 411? 137 Calculate the highest common factor of 4838 and 1886. 82 Calculate the highest common divisor of 25 and 171575. 25 Calculate the highest common factor of 4290 and 675480. 390 Calculate the greatest common divisor of 93 and 5607621. 93 What is the highest common factor of 161 and 122705? 23 What is the greatest common divisor of 1303623 and 9? 9 Calculate the greatest common divisor of 158 and 226019. 79 What is the greatest common divisor of 520948 and 29563? 799 What is the greatest common divisor of 326574 and 3? 3 What is the greatest common factor of 6516 and 905? 181 What is the highest common factor of 630 and 11430? 90 What is the highest common factor of 564 and 36566? 94 Calculate the greatest common factor of 493255 and 680. 85 What is the greatest common divisor of 235 and 640939? 47 What is the highest common factor of 23655 and 13965? 285 What is the highest common divisor of 4 and 40126? 2 Calculate the highest common factor of 813309 and 21. 21 Calculate the highest common factor of 133614 and 234. 234 Calculate the greatest common factor of 8614578 and 42. 42 Calculate the greatest common factor of 188 and 12. 4 Calculate the greatest common factor of 47159 and 7. 7 What is the highest common factor of 1762600 and 300? 100 What is the greatest common factor of 18 and 449802? 18 Calculate the greatest common divisor of 192 and 11976. 24 Calculate the highest common factor of 153 and 16881. 51 Calculate the highest common divisor of 249924 and 10620. 708 What is the highest common divisor of 113848 and 266? 266 What is the highest common factor of 980 and 175? 35 What is the greatest common divisor of 23 and 35857? 23 What is the greatest common divisor of 384 and 9088? 128 Calculate the highest common factor of 83910 and 310. 10 What is the greatest common factor of 277 and 4432? 277 Calculate the greatest common divisor of 17679 and 30129. 249 What is the highest common divisor of 352 and 9008? 16 Calculate the highest common divisor of 9774 and 11394. 54 Calculate the greatest common divisor of 9766 and 1406. 38 What is the greatest common factor of 31 and 444044? 31 What is the highest common factor of 427 and 646478? 427 What is the greatest common factor of 1290 and 78060? 30 What is the greatest common factor of 1736 and 7502? 62 What is the highest common divisor of 781407 and 15147? 891 Calculate the greatest common divisor of 5346 and 744. 6 What is the greatest common factor of 719531 and 785? 157 Calculate the greatest common divisor of 108 and 28572. 12 What is the highest common divisor of 2073 and 3455? 691 What is the highest common factor of 3533324 and 4? 4 Calculate the greatest common factor of 280 and 11800. 40 What is the highest common divisor of 207 and 13886181? 207 Calculate the highest common divisor of 94805 and 9339. 283 What is the greatest common factor of 1089 and 672881? 121 Calculate the greatest common divisor of 452 and 782751. 113 Calculate the greatest common divisor of 6035 and 8755. 85 What is the highest common divisor of 162 and 22284? 18 What is the highest common divisor of 720 and 1670040? 360 Calculate the highest common divisor of 121 and 357280. 11 What is the greatest common divisor of 14936 and 328? 8 Calculate the highest common divisor of 3103256 and 563. 563 What is the highest common divisor of 75 and 504375? 75 What is the highest common divisor of 91 and 36101? 13 What is the greatest common divisor of 74844 and 18? 18 What is the highest common divisor of 183 and 1094523? 183 Calculate the highest common divisor of 69 and 1082127. 69 What is the highest common divisor of 44200 and 26260? 260 Calculate the greatest common factor of 1546394 and 94. 94 Calculate the highest common divisor of 2 and 303878. 2 What is the highest common divisor of 333874 and 1358? 194 Calculate the greatest common divisor of 3335 and 4945. 115 What is the highest common factor of 1039675 and 70525? 2275 What is the greatest common divisor of 2775 and 53025? 75 What is the highest common divisor of 140 and 17260? 20 Calculate the highest common factor of 49125 and 60. 15 What is the highest common factor of 446149 and 11? 11 Calculate the highest common divisor of 26102 and 62. 62 What is the greatest common divisor of 38260 and 130? 10 Calculate the highest common factor of 27669 and 8280. 69 What is the greatest common factor of 75994 and 28? 2 What is the greatest common factor of 24125 and 1? 1 What is the highest common factor of 3457830 and 30? 30 What is the highest common factor of 2 and 13698? 2 Calculate the highest common factor of 24259 and 68. 17 What is the highest common factor of 244 and 2308667? 61 What is the highest common divisor of 2160 and 45680? 80 Calculate the greatest common factor of 896254 and 1370. 274 Calculate the highest common divisor of 64779 and 156. 39 What is the greatest common factor of 751 and 122413? 751 What is the highest common divisor of 8 and 4081? 1 Calculate the highest common factor of 1780 and 32396. 356 Calculate the highest common factor of 17339 and 7. 7 What is the highest common factor of 34 and 156? 2 Calculate the highest common factor of 265240 and 3040. 760 Calculate the greatest common factor of 426105 and 10. 5 Calculate the greatest common divisor of 88050 and 5. 5 Calculate the greatest common divisor of 2730 and 98. 14 Calculate the highest common divisor of 2185 and 741. 19 Calculate the greatest common factor of 1925 and 5335. 55 What is the highest common divisor of 412546 and 4? 2 Calculate the highest common factor of 16039 and 2021. 43 What is the highest common factor of 217 and 26877? 31 What is the greatest common divisor of 4071 and 7257? 177 What is the greatest common divisor of 1542 and 3378? 6 What is the greatest common divisor of 200 and 6758? 2 Calculate the greatest common divisor of 10045 and 1845. 205 Calculate the greatest common factor of 52250 and 4845. 95 What is the highest common factor of 948 and 20880? 12 What is the greatest common factor of 6721 and 1001? 143 What is the highest common divisor of 4089 and 35391? 141 What is the greatest common divisor of 333 and 9117? 9 Calculate the greatest common factor of 112311 and 63. 9 What is the greatest common divisor of 1172 and 7943816? 1172 Calculate the greatest common divisor of 6058 and 68968. 466 What is the highest common factor of 21388 and 32? 4 What is the highest common factor of 12432 and 12768? 336 Calculate the greatest common divisor of 10878 and 999. 111 Calculate the greatest common factor of 874 and 27892. 38 Calculate the greatest common factor of 13 and 248183. 13 Calculate the greatest common divisor of 20750876 and 1081. 1081 What is the greatest common divisor of 212054 and 458? 458 Calculate the highest common factor of 5 and 103465. 5 Calculate the highest common factor of 2376 and 3699. 27 What is the highest common divisor of 666 and 96? 6 What is the highest common divisor of 4125 and 54648? 33 Calculate the highest common factor of 1084 and 321677. 271 What is the highest common divisor of 2641180 and 20? 20 Calculate the highest common divisor of 23 and 28957. 23 What is the highest common factor of 23862 and 9840? 246 What is the highest common factor of 594 and 341? 11 Calculate the greatest common factor of 141775 and 530. 265 Calculate the greatest common factor of 176 and 406. 2 Calculate the highest common divisor of 75 and 2864175. 75 Calculate the highest common factor of 9378 and 7569. 9 Calculate the highest common divisor of 4 and 1385396. 4 What is the highest common factor of 675937 and 187? 17 What is the greatest common divisor of 4317768 and 104? 104 Calculate the highest common divisor of 1022 and 1413426. 1022 Calculate the greatest common factor of 43 and 8501. 1 What is the highest common divisor of 2806 and 506? 46 Calculate the greatest com
{ "pile_set_name": "DM Mathematics" }
for l. 4 Solve 266*g + 1826 = -2458 + 294 for g. -15 Solve 24 - 47 + 23 = -47*d for d. 0 Solve 184*n = -83*n + 2937 for n. 11 Solve 82*q + 1408 = 134*q + 576 for q. 16 Solve 0 = -17*m - 4*m + 264 + 135 for m. 19 Solve 1811*c = 1821*c + 100 for c. -10 Solve -8684 = 94*y + 574*y for y. -13 Solve 0 = -221*p - 235*p - 234*p + 751*p for p. 0 Solve -42677 + 40976 = -63*p for p. 27 Solve 84*u = -2181 + 2601 for u. 5 Solve 1589*k + 44 = 1600*k for k. 4 Solve -15 + 135 = -120*d - 1200 for d. -11 Solve 75*k - 5152 = -247*k for k. 16 Solve 2096 = -9778*d + 9254*d for d. -4 Solve 5*d + 12*d - 110 = 28*d for d. -10 Solve 5690*g - 5844*g = -3388 for g. 22 Solve -26*s = -53435 + 53487 for s. -2 Solve 17 + 16 = 11*n for n. 3 Solve 818196*p = 818185*p - 143 for p. -13 Solve -44*o = -93*o + 32*o - 85 for o. -5 Solve -5692*v + 208 = -5676*v for v. 13 Solve 20*h + 20346 = 10477 + 10229 for h. 18 Solve 0 = -109*r - 7*r - 1392 for r. -12 Solve -89 = 15*n + 93 - 17 for n. -11 Solve 612*u - 3576 = 910*u for u. -12 Solve 2751 = 5350*b - 5219*b for b. 21 Solve 2398*y = 2400*y + 18 for y. -9 Solve -395 - 160 = -37*m for m. 15 Solve 0*h - 723 = -37*h - 131 for h. 16 Solve -181*a + 11*a = 45*a + 860 for a. -4 Solve 3010 = -634*k + 849*k for k. 14 Solve 221 = -124*n + 2205 for n. 16 Solve -91*s + 36 = 203 + 1016 for s. -13 Solve 98 = 116*j - 38*j + 1112 for j. -13 Solve -17*h + 7*h + 125 = 15*h for h. 5 Solve -335*w - 90*w - 34*w + 8262 = 0 for w. 18 Solve 309*u - 1183 = 694*u - 294*u for u. -13 Solve -64*a - 473 - 423 = 0 for a. -14 Solve 32*k - 39*k + 640 = 25*k for k. 20 Solve 46 = 26*d - 43 - 15 for d. 4 Solve -263888*g + 560 = -263944*g for g. -10 Solve -41*o - 45 = -332 for o. 7 Solve 48*k = 26*k + 4*k - 8*k for k. 0 Solve 38*l + 739 - 201 = -298 for l. -22 Solve -25035*u = -24999*u - 936 for u. 26 Solve -452*m - 1891 = 2629 for m. -10 Solve -3*t - 22*t - 27 + 77 = 0 for t. 2 Solve -20*b = -2067 + 2147 for b. -4 Solve -368*i = -370*i - 18 for i. -9 Solve 19*g = 197*g - 1246 for g. 7 Solve -216*v - 63*v = -21*v - 5676 for v. 22 Solve 40*f + 0*f + 125 = 365 for f. 6 Solve -196*k + 995*k = -9526 - 2459 for k. -15 Solve -519 = 204*j - 950 - 1405 for j. 9 Solve 263*s - 114*s - 2086 = 0 for s. 14 Solve 232 = -138*n - 142*n + 288*n for n. 29 Solve 13*s + 32*s - 53 = -8*s for s. 1 Solve 398*r - 1008 = 362*r for r. 28 Solve -771*a + 4605 - 20796 = 0 for a. -21 Solve 30*o + 64 + 76 = -5*o for o. -4 Solve 70*v = 377*v - 2456 for v. 8 Solve -75*n - 2 = 2023 for n. -27 Solve 22021*h = 22044*h - 529 for h. 23 Solve 3*d + 159 = 84 + 93 for d. 6 Solve 0 = 31777*s - 31808*s - 930 for s. -30 Solve -236*m - 3*m + 4563 = 268*m for m. 9 Solve -1570*m = -775*m - 752*m + 817 for m. -19 Solve -43 - 293 = -68*w + 72 for w. 6 Solve 2962*r = 2829*r + 2394 for r. 18 Solve 142*h + 1620 = -1173 + 805 for h. -14 Solve -218 = 148*r - 71*r + 141*r for r. -1 Solve -509*l - 351*l + 9702 = -8358 for l. 21 Solve 121*m + 606 = 1574 for m. 8 Solve -54 - 18 + 36 = 12*z for z. -3 Solve -178*g - 327 = 1351 + 1170 for g. -16 Solve 926*l + 847 + 4709 = 0 for l. -6 Solve -47*i - 36*i + 60 = -63*i for i. 3 Solve 293*f + 2770 = 462*f + 385*f for f. 5 Solve 6990 - 7110 = 12*k for k. -10 Solve 514*i = 96*i - 7106 for i. -17 Solve -17467 = -8*v - 17571 for v. -13 Solve 153 = -10*z + 32*z + 65 for z. 4 Solve -1162 - 310 = 44*o + 20*o for o. -23 Solve -43*v + 338 = 137 - 143 for v. 8 Solve -383*d + 339*d - 14 - 514 = 0 for d. -12 Solve -1070 = -45*k - 1115 for k. -1 Solve -840 - 480 = -16*b + 71*b for b. -24 Solve 0 = -12*c + 51 - 104 - 43 for c. -8 Solve 562 - 235 = -116*v - 601 for v. -8 Solve -370901*o = -370900*o - 36 for o. 36 Solve -598*x + 17120 = -47*x + 1692 for x. 28 Solve -92*a = -42 - 1522 for a. 17 Solve 51*o = 71*o - 47*o + 216 for o. 8 Solve 840 + 937 = -97*f + 613 for f. -12 Solve 2274 = 80*m - 206 for m. 31 Solve -277*z - 292*z + 589*z + 160 = 0 for z. -8 Solve 0 = 316*h + 58*h - 4488 for h. 12 Solve 467*y - 2710 = 8031 for y. 23 Solve 43*a + 34*a + 3015 = -124*a for a. -15 Solve 24*s + 43 = -125 for s. -7 Solve 0 = -12*j + 2*j - 3*j + 169 for j. 13 Solve 3*f + 805 - 1021 = -6*f for f. 24 Solve -36 + 7689 = 982*b - 1185 for b. 9 Solve -1563*s - 1575*s - 900 = -3088*s for s. -18 Solve 2429 = -42*i + 1299 + 1340 for i. 5 Solve -35*w + 7*w - 405 = 17*w for w. -9 Solve -2*r + 16682 - 16724 = 0 for r. -21 Solve 0 = 91*b - 121*b + 66*b + 180 for b. -5 Solve 12*t + 6*t - 3*t - 165 = 0 for t. 11 Solve -7*l = -218 + 204 for l. 2 Solve 0 = -130*q + 1523 + 1554 - 347 for q. 21 Solve 1186*d - 1167*d - 228 = 0 for d. 12 Solve -296949*p + 189 = -296956*p for p. -27 Solve 18*f - 9643 = -18770 + 9721 for f. 33 Solve -548 - 636 = -148*g for g. 8 Solve -20*d = -49*d - 58 for d. -2 Solve 14*r - 20*r + 2128 = 146*r for r. 14 Solve -715*v + 518 = -1428*v + 676*v for v. -14 Solve -295*r = -283*r + 48 for r. -4 Solve 20*z - 348 = -228 for z. 6 Solve -345*z - 338*z = -676*z + 35 for z. -5 Solve 0*z + 17 = z + 25 for z. -8 Solve 0 = -245*y - 2557 + 4037 + 3420 for y. 20 Solve -14*w - 190 = 20 for w. -15 Solve -48*k - 19*k - 720 = -19*k for k. -15 Solve -17*i + 47 = 12*i - 185 for i. 8 Solve 340*w + 444*w + 1235 = 879*w for w. 13 Solve 11*c + 768 = -53*c for c. -12 Solve 2296 + 1864 = -4*g - 256*g for g. -16 Solve 65*a = -133*a + 7*a + 2483 for a. 13 Solve 1731 = -299*u - 1259 for u. -10 Solve -4529*v + 18144 = -3857*v for v. 27 Solve -112*b + 3066 = 3*b + 104*b for b. 14 Solve 0 = 15*f + 14 + 17 - 1 for f. -2 Solve -38*a = -7413 + 7945 for a. -14 Solve -16*b + 10*b = 30 for b. -5 Solve 696 + 67 = 109*x for x. 7 Solve -113*k + 383 + 408 = 0 for k. 7 Solve -15*k = 17*k + 32 for k. -1 Solve 0 = 50*h + h - 51 for h. 1 Solve -190 + 390 = 20*l for l. 10 Solve 3*g + 68 + 46 = 60*g for g. 2 Solve 187 - 407 = -22*o - 484 for o. -12 Solve 17*k - 11*k = -2*k for k. 0 Solve -251 - 22 = -41*h + 96 for h. 9 Solve -140*v + 169 = 330 + 1099 for v. -9 Solve -7248 = 851*g + 12325 for g. -23 Solve 0 = -55*u - 894 - 811 for u. -31 Solve 2*i - 40236 = -40240 for i. -2 Solve 85*i = 87*i + 14 for i. -7 Solve -18*d + 5*d + 114 = -3 for d. 9 Solve -1251 = 606*n + 3446 - 1061 for n. -6 Solve 428*a - 5*a + 9855 = 58*a for a. -27 Solve -237*b + 165 = -248*b for b. -15 Solve 196 + 202 = 43*g - 118 for g. 12 Solve 846 = -870*b + 20856 for b. 23 Solve -23*v + 29 + 224 = 0 for v. 11 Solve -306 = 19242*u - 19191*u for u. -6 Solve 590 = -14*y + 126*y + 6*y for y. 5 Solve 462 = 31*s + 186 - 282 for s. 18 Solve 20*r + 98 = -r + 35*r for r. 7 Solve -90*n + 25 - 1052 = -37 for n. -11 Solve -19*p + 198 - 26 = 1 for p. 9 Solve 0 = -20*u - 94 - 56 - 10 for u. -8 Solve 113*x = 71*x + 378 for x. 9 Solve -191*g - 1736 - 365 = 0 for g. -11 Solve -176 + 23 = -9*c for c. 17 Solve -30*g - 809 = 10*g + 31 for g. -21 Solve -3*m + 54*m - 5*m + 920 = 0 for m. -20 Solve 7713*s - 7711*s - 12 = 0 for s. 6 Solve 22*n - 201 = 19 for n. 10 Solve -25791*p + 25802*p = -55 for p. -5 Solve 79*p = 492 + 729 + 596 for p. 23 Solve -69*j + 478 - 547 = 0 for j. -1 Solve -118 = -8*o - 38 for o. 10 Solve 4*d - 20*d - 513 = 11*d for d. -19 Solve 317*h - 521 = -118*h + 784 for h. 3 Solve 1038*c = 1019*c + 190 for c. 10 Solve 16*n = -57*n - 876 for n. -12 Solve 4*n + 11*n = -n + 48 for n. 3 Solve 0 = -43*g - 8*g + 14 + 394 for g. 8 Solve 72*b - 1058 + 434 = 816 for b. 20 Solve 92*a + 403*a + 13826 + 34 = 0 for a. -28 Solve 241*h - 659 = 64 for h. 3 Solve -25*p + 784 = 6*p + 18*p for p. 16 Solve 20*q + 1875461 = 1875981 for q. 26 Solve 12*l - 68805 = -68709 for l. 8 Solve 18697 = -15*t + 19027 for t. 22 Solve 11*r + 222 - 112 = 0 for r. -10 Solve 27495 = -6*y + 27555 for y. 10 Solve -12*x + 535 = 19*x - 54 for x. 19 Solve -91 = 1118*y - 1111*y for y. -13 Solve 21*y = -63910 + 64225 for y. 15 Solve -98*v + 33 = -67 - 194 for v. 3 Solve -2033*d - 720 = -2069*d for d. 20 Solve 20*y - 145*y - y = 0 for y. 0 Solve -286240 + 285670 = -19*g for g. 30 Solve 0*l + 70*l + 152 = -688 for l. -12 Solve -7*d + 4*d - 2 = -35 for d. 11 Solve -1336 = -11*b - 1083 for b. 23 Solve 0 = 7978*d - 7963*d - 15 for d. 1 Solve -529*o - 7278 = 434*o + 426 for o. -8 Solve -167*q = -453 + 2791 for q. -14 Solve 383474*w + 984 = 383433*w for w. -24 Solve -319*r - 6 = -325*r for r. 1 Solve -115 = -78*o - 271 for o. -2 Solv
{ "pile_set_name": "DM Mathematics" }
d derivative of -53*s**7/10 + 373*s**3 - 3*s**2 + 625. Differentiate b(j) wrt j. -4452*j**3 Let o(u) be the second derivative of 281*u**4/6 + 2031*u**2 + 380*u + 5. What is the derivative of o(c) wrt c? 1124*c Suppose -1 = -3*j + 2, -4*j = 5*o - 149. Let v = o + -10. What is the derivative of -17 - 30*d + 15*d**3 + v*d + 11*d wrt d? 45*d**2 Let l be ((-20)/8)/((-3)/(-6)). Let u be 4 + (15/l - -24). What is the second derivative of u*d**2 - 29*d**2 + d - 7*d wrt d? -8 Let i(n) be the second derivative of 13*n**6/30 - 38*n**5/5 + 377*n**4/12 + 221*n + 2. What is the third derivative of i(o) wrt o? 312*o - 912 Let m(a) be the third derivative of -85/336*a**8 - 1/2*a**4 + 0*a + 1/3*a**3 + 0*a**6 + 62*a**2 + 0*a**7 + 0 + 0*a**5. Find the second derivative of m(v) wrt v. -1700*v**3 Let v(z) be the first derivative of 1007*z**3/3 - 385*z**2 - 206. Find the second derivative of v(p) wrt p. 2014 Let m(h) be the second derivative of -258*h**5/5 + h**3/6 - 659*h**2/2 + 843*h. What is the second derivative of m(j) wrt j? -6192*j Let a be (154/28)/((-1)/(-2)). What is the third derivative of -a - 74*s**2 - 3*s**3 - 21*s**4 - 2*s**5 + 3*s**3 + 69*s**2 wrt s? -120*s**2 - 504*s Let s(m) = 109*m - 13187. Let c be s(121). Let n(j) be the first derivative of 0*j**c - j**3 - 47 + 7*j + 3/4*j**4. Find the third derivative of n(v) wrt v. 18 Find the second derivative of -3541*u**4 - 1423*u**4 + 6413*u - 9602*u wrt u. -59568*u**2 Let i(u) = 162 - u**2 + 151 - 310 - u. Suppose -4*k + 0*k = 4. Let b(m) = m**2 - 1. Let h(g) = k*i(g) - 3*b(g). Find the second derivative of h(f) wrt f. -4 Let z(o) = 2*o**2 - 18*o - 51. Let k be z(-3). What is the first derivative of -k*x**3 + 90 + 41*x**3 - 18*x**3 wrt x? 6*x**2 Let q(p) be the third derivative of -269*p**8/336 - 3*p**5/20 + 2131*p**4/12 + 3*p**2 - 595*p + 2. What is the second derivative of q(m) wrt m? -5380*m**3 - 18 Let i be 13/(5/(3 - -2)). What is the first derivative of -6*r + 9 + 5 + 36 - i*r wrt r? -19 Let d(w) = 638*w**2 - 15*w - 780. Let i(q) = 639*q**2 - 18*q - 779. Let c(x) = -6*d(x) + 5*i(x). What is the derivative of c(h) wrt h? -1266*h Let c(f) be the second derivative of -3937*f**3/6 - 6595*f**2 + 10661*f. Differentiate c(z) wrt z. -3937 Let p(c) = 3127*c**6 + 6*c**4 + 2640*c**2. Let h(w) = 9379*w**6 + 21*w**4 + 7921*w**2. Let d(a) = 2*h(a) - 7*p(a). Find the third derivative of d(b) wrt b. -375720*b**3 Let t(y) be the second derivative of 0*y**3 + 0 + 7/6*y**4 - 41/2*y**2 + 73*y. What is the derivative of t(a) wrt a? 28*a Let b(v) = 2*v**2 - 5*v - 36. Let j(n) = 3*n**2 - 10*n - 72. Let g be -4 + ((-4)/(-2) - 5). Let d(l) = g*b(l) + 4*j(l). Differentiate d(r) with respect to r. -4*r - 5 What is the second derivative of 3119*u**5 + 114*u + 1239*u**5 + 176 - 178 + 95*u wrt u? 87160*u**3 Find the first derivative of 630*w + 575*w - 1207*w - 1915*w**2 - 1051 wrt w. -3830*w - 2 What is the derivative of 3489 + 26*k**3 + 591 - 2*k**3 + 12*k**3 - 21*k**3 - 5*k**4 wrt k? -20*k**3 + 45*k**2 Let u(w) = 86*w**4 + 23*w**2 + 5*w - 6. Let t(m) = -m**2 - m - 1. Let z(c) = 6*t(c) - u(c). What is the third derivative of z(k) wrt k? -2064*k Let a be 3 + -2 - (1 - 63). Differentiate 6 - 18 - 20 + 59*i - a*i wrt i. -4 Let s(l) be the second derivative of -4*l**7/21 - 7*l**6/6 - l**4/6 - 10*l**3 - 742*l. Find the third derivative of s(y) wrt y. -480*y**2 - 840*y Let k = -31 + 36. Find the second derivative of -107 + 43*s + 107 + s**5 - 16*s**k wrt s. -300*s**3 Let o(s) be the first derivative of -1630*s**3/3 + 1123*s**2 + 515. Find the second derivative of o(k) wrt k. -3260 Suppose 0 = 3*t + 5*j - 8, 0 = -2*t + 3*t - j - 8. What is the first derivative of t*d**3 + 4*d**2 - 28 + 7*d - 4*d**2 - 14 wrt d? 18*d**2 + 7 Let i(l) be the third derivative of 919*l**6/120 + 3*l**5/4 - 3*l**2 + 66. What is the third derivative of i(r) wrt r? 5514 Find the second derivative of -9938*s + 1043424*s**3 - 1043424*s**3 - 9107*s**5 wrt s. -182140*s**3 Let a(b) = -12*b**4 - b**3 - b**2. Let t(n) = -1972*n**4 + 4*n**3 + 4*n**2 + 547. Let o(d) = 4*a(d) + t(d). What is the first derivative of o(q) wrt q? -8080*q**3 Find the second derivative of 1018*j - 162*j + 242*j - 2096*j**3 wrt j. -12576*j Let z(s) = -3821*s**3 - 3110*s**2 - 12*s - 4. Let j(a) = -3821*a**3 - 3120*a**2 - 15*a - 5. Let m(i) = 4*j(i) - 5*z(i). Find the third derivative of m(h) wrt h. 22926 Let s(k) = -23*k**3 + 5*k**2 - 5*k - 1. Let a be s(1). Let u be 368/a*6/(-4). What is the derivative of -2*i - 23 + 4*i**4 + 2*i + u*i**4 wrt i? 108*i**3 Let q = -64 + 95. Find the third derivative of q*d**5 + 5*d**5 - 68*d**4 + 68*d**4 - d**3 - 45*d**2 wrt d. 2160*d**2 - 6 Let d(p) = 4859*p + 3308. Let z(o) = -7*o + 14. Let m(n) = -d(n) - 6*z(n). Differentiate m(v) with respect to v. -4817 Let z be ((42/(-15))/1)/((-7)/245). Suppose -z = -4*d - 38. Differentiate -166*f**3 + d + 213*f**3 + 13 wrt f. 141*f**2 Let i = 412 + -410. Find the third derivative of -i - 68*x**3 + 19 - x**2 - 3 - 39*x**3 - x**2 wrt x. -642 Find the second derivative of 197*l + 201*l**5 + 211*l - 409*l + 123 wrt l. 4020*l**3 Let l(h) = -h + 36. Let n be l(14). Let w be 105/33 - 4/n. What is the second derivative of 4*y + 2*y - 5*y - w*y**4 wrt y? -36*y**2 Differentiate -749*n**3 + 1383*n**3 - 627*n**3 + 466*n**4 - 1904 - 2*n**2 with respect to n. 1864*n**3 + 21*n**2 - 4*n Let z(f) be the third derivative of -10*f + 0*f**4 - 107/6*f**3 - 2*f**2 + 7/10*f**6 + 0*f**5 + 0. Find the first derivative of z(n) wrt n. 252*n**2 Find the third derivative of 6*p**6 - 266*p - 2375060*p**3 + 2*p**2 - 4*p**6 + 2372382*p**3 + 0*p**6 wrt p. 240*p**3 - 16068 Let v = 480 - 466. What is the second derivative of 8*s - 242*s**2 + 13*s + 116 - 41*s + 7*s + v*s wrt s? -484 Let t(h) be the third derivative of 1/2*h**3 + 0*h**5 + 0*h**6 + 1/12*h**4 - 12/35*h**7 + 0*h + 0 + 32*h**2. What is the second derivative of t(b) wrt b? -864*b**2 Let o(h) = -h**3 + 24*h**2 - 28*h + 127. Let s be o(23). Suppose 3 = -2*r + 3*r. Find the third derivative of -12*c + s*c + 21*c**2 + 9*c**r wrt c. 54 Let h(i) = 5*i**2 + 2 - 2 - 4*i**2 - 16*i. Let k be h(17). Find the second derivative of -29*n**2 + 15*n**2 + 7*n + k*n**2 wrt n. 6 Suppose 4*z + 249 = -5*p, -7*z - p = -2*z + 285. Let t be z/(-42)*6/4. Find the first derivative of 5*k**2 + 15 - 44 + 12*k**t wrt k. 34*k What is the first derivative of -933*z + 4114 + 1559*z + 1920*z + 46*z - z**2 wrt z? -2*z + 2592 Let w(f) be the third derivative of -f**6/10 - f**4/12 + 697*f**3/6 + 193*f**2. What is the derivative of w(x) wrt x? -36*x**2 - 2 Suppose -2*o + 8 + 1 = 3*j, 9 = 3*j + o. Find the first derivative of -66*f**j - 511*f**2 + 511*f**2 + 142 wrt f. -198*f**2 Let c(q) be the second derivative of -68 + 0*q**5 - q + 14/3*q**6 + 0*q**3 + 31/2*q**2 + 0*q**4. What is the derivative of c(o) wrt o? 560*o**3 Find the third derivative of 1594795*o**4 + 251*o**2 + 208*o**2 - 1594728*o**4 + 33*o**3 - 9 wrt o. 1608*o + 198 Let t(u) be the second derivative of 1136*u**6/15 - 115*u**4/3 - u**3/3 - 320*u. What is the third derivative of t(r) wrt r? 54528*r Let m(x) be the first derivative of -5*x**3 + 34*x**2 - 2584*x - 606. What is the first derivative of m(k) wrt k? -30*k + 68 Let u(r) be the second derivative of 11*r**7/280 - r**4/24 - 5*r**3/3 + r**2 - 70*r. Let k(b) be the second derivative of u(b). Differentiate k(j) wrt j. 99*j**2 Let h(n) be the third derivative of 261*n**2 + 0*n**4 + 0*n + 0*n**5 - 247/6*n**3 + 0 + 281/120*n**6. What is the first derivative of h(d) wrt d? 843*d**2 What is the second derivative of -951*x + 3*x**3 - 371*x - 317*x**3 + 2*x**2 + 115*x**3 - 5*x**2 wrt x? -1194*x - 6 Let k(u) = u**2 - 32*u - 64. Let s be k(34). Find the second derivative of -22*l**2 + 21*l**2 - 23*l + s*l + 15*l**2 wrt l. 28 Let t(l) be the first derivative of 8716*l**3/3 + 383*l**2/2 - 5*l + 1711. Find the second derivative of t(b) wrt b. 17432 Differentiate 754*j - 380*j + 1440 - 158*j**2 - 376*j - 66*j**2 with respect to j. -448*j - 2 Let t(a) be the second derivative of -a**5/20 - 859*a**4/12 - 205*a**2 + 7*a - 110. Find the first derivative of t(p) wrt p. -3*p**2 - 1718*p Differentiate 58463*p**3 + 95 - 608*p + 11*p**2 - 11*p**2 - 58466*p**3 wrt p. -9*p**2 - 608 Let j(l) = -12*l**4 + 43. Let a(o) = 3*o**2 + 9*o +
{ "pile_set_name": "DM Mathematics" }
q: 2, n: 8}. What is prob of picking 1 q, 1 l, and 1 n? 8/55 Calculate prob of picking 1 k, 1 s, 1 l, and 1 p when four letters picked without replacement from bpslk. 1/5 Two letters picked without replacement from szhzzszzszzsszszssz. Give prob of picking 2 s. 28/171 Calculate prob of picking 1 h and 1 c when two letters picked without replacement from ahxacxxaccaea. 1/26 Four letters picked without replacement from slmlllmllmmmlmlggag. Give prob of picking 3 g and 1 s. 1/3876 Calculate prob of picking 1 h and 2 m when three letters picked without replacement from mmhfhhfhhphhhllfp. 1/85 What is prob of picking 1 c and 1 s when two letters picked without replacement from csssscsccscccssssscc? 99/190 Two letters picked without replacement from {p: 2, n: 7, j: 3}. What is prob of picking 2 p? 1/66 Calculate prob of picking 2 z and 2 o when four letters picked without replacement from ozozzzzozozo. 14/33 What is prob of picking 2 w when two letters picked without replacement from zwzzzzwwzzz? 3/55 Four letters picked without replacement from {r: 4, x: 3}. What is prob of picking 2 r and 2 x? 18/35 Four letters picked without replacement from ddyqqrsdd. Give prob of picking 1 s and 3 d. 2/63 What is prob of picking 2 i, 1 c, and 1 k when four letters picked without replacement from {k: 5, c: 6, i: 4}? 12/91 Two letters picked without replacement from {n: 2, j: 5}. Give prob of picking 2 n. 1/21 Three letters picked without replacement from yyyynyyynnynyn. What is prob of picking 3 y? 3/13 Two letters picked without replacement from {w: 2, m: 3, h: 3, s: 2, a: 1, c: 1}. Give prob of picking 1 a and 1 h. 1/22 Three letters picked without replacement from {c: 1, d: 3, k: 2, e: 4}. Give prob of picking 1 d, 1 e, and 1 c. 1/10 Two letters picked without replacement from {v: 1, i: 1, w: 12, p: 2, z: 2, n: 2}. What is prob of picking 1 n and 1 p? 2/95 Four letters picked without replacement from {m: 6}. Give prob of picking 4 m. 1 Calculate prob of picking 2 j when two letters picked without replacement from {q: 2, s: 1, j: 3, k: 3, w: 1, x: 1}. 3/55 Four letters picked without replacement from weewwfghwdfhghd. Give prob of picking 2 h and 2 f. 1/455 Calculate prob of picking 1 q and 1 e when two letters picked without replacement from emqxq. 1/5 Calculate prob of picking 1 d, 1 w, and 1 r when three letters picked without replacement from {t: 1, n: 1, w: 1, d: 1, r: 1}. 1/10 Three letters picked without replacement from {c: 5}. Give prob of picking 3 c. 1 Calculate prob of picking 2 o when two letters picked without replacement from pepppoflpeopppppfppo. 3/190 Four letters picked without replacement from {s: 16, l: 4}. Give prob of picking 2 l and 2 s. 48/323 Four letters picked without replacement from wbneyebebnby. Give prob of picking 1 e, 1 w, and 2 n. 1/165 What is prob of picking 3 w and 1 l when four letters picked without replacement from wfwwlfwlflwl? 8/99 Calculate prob of picking 2 b when two letters picked without replacement from ggggggbggygbsygbbss. 2/57 What is prob of picking 3 j and 1 r when four letters picked without replacement from {d: 2, g: 1, i: 3, j: 3, r: 1}? 1/210 What is prob of picking 1 l and 1 y when two letters picked without replacement from {l: 8, j: 1, r: 1, z: 4, q: 2, y: 4}? 16/95 What is prob of picking 3 v when three letters picked without replacement from vvvvkvvvvvvvkkkvvvvv? 28/57 What is prob of picking 1 w and 1 m when two letters picked without replacement from mwm? 2/3 What is prob of picking 2 z and 2 t when four letters picked without replacement from {z: 7, t: 2}? 1/6 Three letters picked without replacement from sgzzlsgszzzzzs. What is prob of picking 1 g and 2 z? 3/26 What is prob of picking 1 b and 1 s when two letters picked without replacement from sfafgggtgfbstbfbgg? 2/51 What is prob of picking 1 c, 1 e, and 1 f when three letters picked without replacement from ekecekeekkfkcbe? 12/455 Calculate prob of picking 1 e and 1 a when two letters picked without replacement from aedsfdddddu. 1/55 Three letters picked without replacement from {w: 1, i: 1, d: 3, z: 1, c: 5}. Give prob of picking 1 z, 1 c, and 1 d. 1/11 Two letters picked without replacement from {s: 2, i: 1, v: 6, f: 3}. What is prob of picking 2 f? 1/22 What is prob of picking 1 l, 1 q, and 2 d when four letters picked without replacement from lfdddldlqlldll? 10/143 What is prob of picking 4 k when four letters picked without replacement from rkkkkkkkkrkrkrkkrr? 11/68 What is prob of picking 1 h and 3 w when four letters picked without replacement from {h: 7, w: 3}? 1/30 Calculate prob of picking 2 r when two letters picked without replacement from {r: 12, q: 7}. 22/57 Two letters picked without replacement from {x: 3, o: 5, d: 2, q: 1, u: 1, n: 1}. What is prob of picking 1 d and 1 x? 1/13 Three letters picked without replacement from emcmicimcliimiml. Give prob of picking 1 m and 2 i. 5/56 Three letters picked without replacement from revrlbb. Give prob of picking 1 v, 1 l, and 1 b. 2/35 Two letters picked without replacement from rrrrrrrcrrrrrrcrrrr. What is prob of picking 2 r? 136/171 Calculate prob of picking 1 o and 3 w when four letters picked without replacement from wswoqohoqowo. 1/99 Four letters picked without replacement from {u: 2, z: 3, y: 4}. Give prob of picking 2 y and 2 z. 1/7 Four letters picked without replacement from {i: 2, r: 6}. Give prob of picking 4 r. 3/14 Calculate prob of picking 2 c, 1 o, and 1 g when four letters picked without replacement from ocjogdcx. 1/35 Calculate prob of picking 2 y when two letters picked without replacement from rooryyrryrry. 1/11 Four letters picked without replacement from {c: 5, q: 5, x: 2, k: 7}. What is prob of picking 1 q, 2 x, and 1 k? 35/3876 Four letters picked without replacement from hadavddd. Give prob of picking 4 d. 1/70 Calculate prob of picking 2 e and 1 u when three letters picked without replacement from {e: 3, u: 1, l: 1}. 3/10 Four letters picked without replacement from {m: 9, j: 9}. Give prob of picking 3 j and 1 m. 21/85 Two letters picked without replacement from vqvvfssvfq. Give prob of picking 1 v and 1 s. 8/45 What is prob of picking 2 j when two letters picked without replacement from {j: 3, f: 2, g: 1, z: 1, h: 5}? 1/22 Two letters picked without replacement from sttsttstsso. Give prob of picking 1 s and 1 o. 1/11 What is prob of picking 1 a and 1 r when two letters picked without replacement from mrraba? 4/15 Four letters picked without replacement from {m: 5, i: 1, v: 1, y: 8, t: 5}. Give prob of picking 1 i, 2 t, and 1 m. 10/969 Four letters picked without replacement from {r: 1, l: 3, i: 1, b: 1, u: 1}. Give prob of picking 3 l and 1 u. 1/35 What is prob of picking 2 d and 1 t when three letters picked without replacement from {k: 5, t: 2, d: 3}? 1/20 Calculate prob of picking 1 n and 2 o when three letters picked without replacement from nosscoyvnooc. 3/55 Two letters picked without replacement from {k: 1, h: 1, d: 2, e: 1}. Give prob of picking 1 e and 1 d. 1/5 Two letters picked without replacement from yyyiijbgygiigiii. Give prob of picking 1 y and 1 i. 7/30 What is prob of picking 3 c when three letters picked without replacement from {r: 6, c: 4, v: 4}? 1/91 Calculate prob of picking 1 o and 1 p when two letters picked without replacement from yjppojggykyjkjyyjjgk. 1/95 Three letters picked without replacement from vvvvrprz. Give prob of picking 1 z, 1 r, and 1 v. 1/7 Calculate prob of picking 2 g when two letters picked without replacement from hgwgggttug. 2/9 Three letters picked without replacement from lslslssslsssss. What is prob of picking 3 l? 1/91 Four letters picked without replacement from tnpdpitiqipp. Give prob of picking 1 q, 1 d, 1 p, and 1 n. 4/495 Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, q: 4}. 1/15 Three letters picked without replacement from kttmkkk. What is prob of picking 1 m and 2 k? 6/35 Two letters picked without replacement from qqdoqoddodddqdxqxdo. Give prob of picking 1 q and 1 d. 40/171 What is prob of picking 1 y and 2 n when three letters picked without replacement from {h: 2, n: 2, t: 1, z: 2, y: 1, i: 4}? 1/220 Calculate prob of picking 1 d, 1 x, 1 e, and 1 i when
{ "pile_set_name": "DM Mathematics" }
derivative of 2*d**3*m + d**3 - 243*d**2*m + 15*d**2 + 25*d*m + 928*m + 1 wrt d? 12*d*m + 6*d - 486*m + 30 What is the derivative of 4*a**4 - 457*a**3 + 4*a**2 + 39467? 16*a**3 - 1371*a**2 + 8*a Differentiate -19400*i*n**2*p**3 + 2*i + 122990*n**2*p**3 with respect to i. -19400*n**2*p**3 + 2 What is the first derivative of 184864*m - 173636? 184864 Differentiate -1737*f*g**2 + f*g*x + 72*f*x + 5*g**2 - 184*x wrt g. -3474*f*g + f*x + 10*g What is the third derivative of -51933*o**3*t**3 + 10067*o**2*t**3 + o**2*t**2 - 2*o**2 wrt o? -311598*t**3 What is the second derivative of -31900*m**2 + m + 234234 wrt m? -63800 Find the third derivative of 68*j**5 - 991*j**3 + 2*j**2 - 199730*j wrt j. 4080*j**2 - 5946 What is the derivative of 2363946*b**2 + 2433184 wrt b? 4727892*b What is the derivative of 3371*z**2 - 80*z + 1507819 wrt z? 6742*z - 80 Differentiate 70*f**3*w + 3744*f**3 + 193015*w wrt f. 210*f**2*w + 11232*f**2 Differentiate -31665*h + 36103 with respect to h. -31665 Differentiate 5798769*a*j**3 + 4420*j**3 + 3 with respect to a. 5798769*j**3 What is the first derivative of -73233*g**3 - 54121 wrt g? -219699*g**2 Differentiate -3*n**2*w**3 + 20*n**2*w**2 - 501*n**2 - 5293716*w**3 with respect to n. -6*n*w**3 + 40*n*w**2 - 1002*n Differentiate n**3 - 11725*n**2 - n + 591756 with respect to n. 3*n**2 - 23450*n - 1 What is the first derivative of -49222*v - 79350? -49222 Differentiate 158*m*o**3 - 171*m*o**2 + 47583*o**3 with respect to m. 158*o**3 - 171*o**2 Find the third derivative of 84*m**2*q**3 - 9*m**2*q**2 - 35094*m**2 - 3933*q**3 wrt q. 504*m**2 - 23598 What is the second derivative of -254*i**4 + 5*i**3 + 3*i**2 + 45685*i? -3048*i**2 + 30*i + 6 What is the third derivative of 2*p**6 - 497070*p**3 - p**2 + 531514*p wrt p? 240*p**3 - 2982420 What is the first derivative of -154*f**4 + 8*f**2 - f + 23421 wrt f? -616*f**3 + 16*f - 1 Find the third derivative of -5666*i**4*n - 43*i**3*n**2 - 16*i**2 + 10460*i*n**2 wrt i. -135984*i*n - 258*n**2 What is the first derivative of 16011*d*v + 21*d + 2877*v - 11 wrt d? 16011*v + 21 Differentiate 34879*w + 88313 wrt w. 34879 What is the second derivative of 9481*m**3*s**2 - 2*m**2*s**2 - 15*m**2*s - 52660*m*s**2 + m*s - 2*s wrt m? 56886*m*s**2 - 4*s**2 - 30*s What is the second derivative of -q**5 - q**4 + 19583*q**2 + 353*q - 93? -20*q**3 - 12*q**2 + 39166 What is the second derivative of 153528*j**5 - 49*j + 909? 3070560*j**3 Find the first derivative of 1306*c**2 + 6*c + 34049. 2612*c + 6 Differentiate 435*b**2*i*z**2 - 16*b**2*i*z + 27292*b**2*z - 14*b*z**2 wrt i. 435*b**2*z**2 - 16*b**2*z Differentiate -7*z**3 + 8985*z - 108735 with respect to z. -21*z**2 + 8985 What is the first derivative of 995919*b**4*q**3 - 69986*q**3 wrt b? 3983676*b**3*q**3 What is the third derivative of -13320*r**3*y**4 - 1148*r**3 - 2*r**2*y**5 + 40*r*y**2 wrt y? -319680*r**3*y - 120*r**2*y**2 What is the third derivative of 108*a**6 - 1330*a**5 + 514882*a**2 wrt a? 12960*a**3 - 79800*a**2 Find the first derivative of 9*x**3 + 18*x**2 + 314*x + 1965221 wrt x. 27*x**2 + 36*x + 314 Find the third derivative of 2*m**6 + 7090*m**5 - 3*m**3 - 15827*m**2 - m - 26. 240*m**3 + 425400*m**2 - 18 What is the first derivative of 31*k**4 - 4*k**3 + 2*k**2 - 24*k + 2788785? 124*k**3 - 12*k**2 + 4*k - 24 What is the third derivative of 6*h**4 - 176976*h**3 + 3*h**2 - 111025 wrt h? 144*h - 1061856 What is the second derivative of 2*c**2*d**3 + 5*c**2*d*n - 665*c**2 - 448*c*d**2*n + 8*d**3*n + 4*n wrt d? 12*c**2*d - 896*c*n + 48*d*n What is the second derivative of -118357*n**2 - 182511*n? -236714 Find the third derivative of 14336*v**6 + v**5 - v**3 - 2175*v**2 + 5*v. 1720320*v**3 + 60*v**2 - 6 Find the second derivative of 86*h*l**5 + 429*h*l**3 - 2*h*l**2 + 9162*h*l + 5*h + 2 wrt l. 1720*h*l**3 + 2574*h*l - 4*h What is the first derivative of -o**4*q + 8780*o*q**3 - 15*q**3 + 8*q - 37 wrt o? -4*o**3*q + 8780*q**3 Differentiate -1566473*c**3*s*t + 2077687*c**3*s + c**2*t with respect to t. -1566473*c**3*s + c**2 What is the first derivative of -13*b**4 + 1914*b**2 - 82527? -52*b**3 + 3828*b Find the second derivative of 81129*b**4 - 8*b**3 + b**2 - 87414*b + 3 wrt b. 973548*b**2 - 48*b + 2 What is the second derivative of -3*q**2*x**3 - q**2*x - q**2 - 5468*q*x**3 + x + 1111 wrt x? -18*q**2*x - 32808*q*x What is the first derivative of -437558*h**4 - 62684 wrt h? -1750232*h**3 Find the third derivative of -1653797*y**3 - 5*y**2 - 7*y - 9530 wrt y. -9922782 What is the third derivative of -3155534*j**5 - 380*j**2 + j - 3133 wrt j? -189332040*j**2 What is the derivative of 21701*c**4*r**2 + 5*c**2*r**2 + 1342599*r**2 wrt c? 86804*c**3*r**2 + 10*c*r**2 What is the derivative of -7*t**3*y**2 + 59*t**2*y**3 + 11*y**3 - 162*y wrt t? -21*t**2*y**2 + 118*t*y**3 What is the third derivative of 13338*i**3*m**3 - 2224*i**3*m**2 - i**3*m + 2*i - 2 wrt m? 80028*i**3 Find the third derivative of -124543*o**5 - 196*o**2 - 3*o - 73. -7472580*o**2 Find the second derivative of -566*d**4 - 3*d**3*h + d**3 - 27229*d*h wrt d. -6792*d**2 - 18*d*h + 6*d Differentiate -84*c**2*o*z - 3*c**2*o - 875*c**2 + 2*c*o*z + 8*c*o + 97*c*z with respect to z. -84*c**2*o + 2*c*o + 97*c What is the second derivative of 35999*p**4 + 46*p + 436 wrt p? 431988*p**2 Find the third derivative of 126982*a**3*q**3*x**3 + a**2*q**3 - 8*a*q**3 + a*q**2*x**3 + 2*q**3*x**2 - 17*x**3 wrt a. 761892*q**3*x**3 Find the second derivative of -1794268*c**2*u**3*z**2 - 3*c**2*u**3 - 59*c*u**2 + 3996*u**3*z + 2*u**3 + 2*u*z**2 wrt c. -3588536*u**3*z**2 - 6*u**3 What is the third derivative of -2*s**4 - 3999*s**3 - 2*s**2 - 6*s + 4212? -48*s - 23994 Find the second derivative of 108046*u**2 - 56*u - 390 wrt u. 216092 What is the third derivative of -2*g*k**3*p + 7*g*k**3 - g*k**2*p + g + k**3*p - 2*k**3 + 7*k**2 - 2*p - 2 wrt k? -12*g*p + 42*g + 6*p - 12 Find the third derivative of -14*a**5 + 1929*a**4 + a**3 - 167*a**2 - 22*a - 3. -840*a**2 + 46296*a + 6 Find the second derivative of 107*a**2*n**3 + a**2 + 4*a*n**3 + 9*n**4 + 30279*n wrt n. 642*a**2*n + 24*a*n + 108*n**2 What is the derivative of 15*l*m**2*o*x + 2*l*m**2 + 3*l*m*x - 85*l*o + 206*m**2*x + m*o*x + 2*x wrt o? 15*l*m**2*x - 85*l + m*x Differentiate -12570*q*z**4 + 2*q*z**3 - 5*q*z - 240702*q + 2 wrt z. -50280*q*z**3 + 6*q*z**2 - 5*q Find the first derivative of -1622339*i**2 - 981422 wrt i. -3244678*i What is the third derivative of 65321*c**4 - 3*c**3*f - 5*c**2*f - 14865*c*f wrt c? 1567704*c - 18*f Find the first derivative of -3922*r**2 - 14*r - 43749. -7844*r - 14 Find the second derivative of -2946*a**5 + 40*a**2 + 3394370*a. -58920*a**3 + 80 Find the third derivative of -i**5*t + 202207*i**4*t**3 + 3*i**2*t**3 + 6*i*t**3 - 40*i*t**2 - 8*t**3 wrt i. -60*i**2*t + 4852968*i*t**3 What is the second derivative of 22*b**2*l**2 - b**2*l + 42*b*l**2 - 2*b*l + 5*l**2 + 107*l + 2 wrt l? 44*b**2 + 84*b + 10 Find the second derivative of -179*i**3 + 266*i**2 - 372879*i. -1074*i + 532 Find the first derivative of -4985868*j + 1702548. -4985868 What is the first derivative of -1301*c**2*g*r + 20*c**2*g - 2*c**2 + 4*c*r + 35*g*r - g + 6157 wrt r? -1301*c**2*g + 4*c + 35*g Find the third derivative of 3*d*o**5 + 49*d*o**2 + 2*d*o + 2*d + 1214*o**5 + o**2 wrt o. 180*d*o**2 + 72840*o**2 What is the third derivative of -174117*a**4 + 25856*a**2 - 3 wrt a? -4178808*a What is the second derivative of 29*q**2*s**2 + 10*q**2*s - 6610*q*s**4 + 6*q*s + 7*q - 1 wrt s? 58*q**2 - 79320*q*s**2 Find the third derivative of 3*i**4 - 42304*i**3 - 135413*i**2. 72*i - 253824 Find the third derivative of 525850*o**3*s**3 + 2*o**3*s + 4*s**2 + 11159 wrt s. 3155100*o**3 Find the third derivative of -373*c**6 + 238*c**4 - 2956034*c**2. -44760*c**3 + 5712*c What is the third derivative of -53526*l**5 - 32968*l**2? -3211560*l**2 Find the third derivative of -2*v**2*w**3 + 70*v**2*w**2 - 63*v**2 - 170*v*w**3 - 3*v*w + 143*w**3 wrt w. -12*v**2 - 1020*v + 858 What is the third derivative of 109*k**6*u - 564*k**4*u**2 + k**2*u**2 + 10*k*u**2 - 6143*u**2 + u wrt k? 13080*k**3*u - 13536*k*u**2 Find the first derivative of -87*d**2*u - 13052*d**2 - 3*u**2 + 11*u wrt u. -87*d**2 - 6*u + 11 What is the derivative of -2118*z**2 + 7*z + 757923 wrt z? -4236*z
{ "pile_set_name": "DM Mathematics" }
ming b is positive. b**(-12/5) Simplify (q*q/(q**(-2/13)*q*q))/q**26 assuming q is positive. q**(-336/13) Simplify ((y**0/y)/y**(-6))/(y*y**(1/4)/y*y**(-1/3)) assuming y is positive. y**(61/12) Simplify ((t*t*t**(2/3))**(-9/5))**(11/3) assuming t is positive. t**(-88/5) Simplify ((v/(((v*(v/v**(-7))/v)/v*v)/v))/(v/(v/(v*v**(-4/3)))*v))**(13/4) assuming v is positive. v**(-65/3) Simplify ((l/(l/(l/(l**(-1/2)/l*l*l)*l))*l)/l*l*l**(-6))/(l*(l*(l**5/l)/l*l*l*l*l)/l*l**(-4)/l) assuming l is positive. l**(-13/2) Simplify (d/(d*d**(2/7)))**(-18)/(d**(-3/2)*d/d**6) assuming d is positive. d**(163/14) Simplify ((r**(2/7)/r)/(r/(((r*r**(2/7)*r)/r)/r)))**(-24) assuming r is positive. r**(240/7) Simplify (j**(-1/11))**(5/9) assuming j is positive. j**(-5/99) Simplify (o*o**(2/7))**11/(o**(-4)*o*o*o**(-6)) assuming o is positive. o**(155/7) Simplify (z/z**1)**6*(z/(z*z*z**8/z)*z)/(z/(z*z*z/z**(-7)*z*z)) assuming z is positive. z**4 Simplify t**7*t*t**(-7) assuming t is positive. t Simplify (o/(o**(-8)/o*o*o))/(o**5*o*o) assuming o is positive. o Simplify ((w**7/w*w)/w)/((w*w*w*w/w**(-3/2)*w)/w) assuming w is positive. sqrt(w) Simplify ((u*u**(3/8)/u)/(u/(u/u**(1/3))))**(23/4) assuming u is positive. u**(23/96) Simplify (t/t**(-2/3)*(t/(t*t**(-3)))/t)**16 assuming t is positive. t**(176/3) Simplify (u**(-2/3))**34/(u**(1/3)/u**6) assuming u is positive. u**(-17) Simplify f**5/f*f/(f/f**(-4/3))*((f/f**2)/f)**(-31) assuming f is positive. f**(194/3) Simplify (i**(1/8)/i)/(i**(5/7)*i) assuming i is positive. i**(-145/56) Simplify ((t/((t**(2/5)*t)/t))/(t*t**(-2/13)))**(-13) assuming t is positive. t**(16/5) Simplify v**8*v**(-4)/v*(((v**(-7)*v*v*v)/v)/v*v)/v**(3/8) assuming v is positive. v**(-19/8) Simplify (l/l**(-7)*l)/(l/l**(-5))*(l*l*l**(-2/11)*l*l)/l*l*l/((l*l**(-3)*l*l*l)/l) assuming l is positive. l**(86/11) Simplify (n**(-5)*n*n*n)**(-3/37) assuming n is positive. n**(6/37) Simplify (v/(v**(-2/13)/v*v)*v)**(-1/24) assuming v is positive. v**(-7/78) Simplify ((a**(-5/3)*a)/(a*a**14*a*a))**(-4/11) assuming a is positive. a**(212/33) Simplify (v/v**(5/3))/(v/((v/(v/(v**(2/5)/v)*v))/v*v)) assuming v is positive. v**(-49/15) Simplify ((q**(-1/5))**(-7))**(-10) assuming q is positive. q**(-14) Simplify (r**(-3)*r*r*(r/(r*r/(r**(1/3)/r)))/r*r)/(r**(-2/7))**(-47) assuming r is positive. r**(-338/21) Simplify ((h*h**2)**26)**(-26) assuming h is positive. h**(-2028) Simplify o**(1/2)*o*o*o*o**(-2/21)/o*o**8*(o/(((o*o**(-1/5)/o*o*o)/o*o)/o*o))/o assuming o is positive. o**(1807/210) Simplify (j**(-1))**(37/5)/(j**(-2/3))**(-2/21) assuming j is positive. j**(-2351/315) Simplify (g**2*(g/(((g*g*g**(2/9)*g)/g)/g))/g)/((g*g**2)/g*g*g*g)**(15/2) assuming g is positive. g**(-661/18) Simplify (x**(-3/5)*x/(x/((x*x/x**(-6))/x))*x)/(x*x**1*x)**(1/9) assuming x is positive. x**(106/15) Simplify (j/(j**(-3/8)/j))**(-49) assuming j is positive. j**(-931/8) Simplify (n/n**(-1))**(-7)*(n/n**(2/29))/n*n**(2/9)*n assuming n is positive. n**(-3353/261) Simplify j**(1/2)/(((j/(j/j**(-14))*j)/j*j*j)/j) assuming j is positive. j**(27/2) Simplify i**16/((i*i*i*i**(-21/4))/i*i) assuming i is positive. i**(73/4) Simplify ((f*f**8/f)/f*f)**17 assuming f is positive. f**136 Simplify f**(-10/3)/(f*f/f**(-40)*f) assuming f is positive. f**(-139/3) Simplify (t*t**(-1/6)*t/(t/t**(5/3)*t)*t*t)/((t*t/(t*t/((t/(t*t**7)*t*t)/t))*t)/(t/(t**(-1/2)*t)*t)) assuming t is positive. t**10 Simplify v**(-1)*(v/v**(3/5))/v*v**(-1/2)/(v*v/(v/(v**(1/8)*v))) assuming v is positive. v**(-169/40) Simplify ((g*g*g**(-1/4)/g)**(-2/17))**(3/11) assuming g is positive. g**(-9/374) Simplify c/((c*c**(-6/11))/c*c)*c**(-17) assuming c is positive. c**(-181/11) Simplify ((t/(t*t**(-6))*t)/t)**(5/8) assuming t is positive. t**(15/4) Simplify (h**(-2))**(-1) assuming h is positive. h**2 Simplify ((d**5)**(2/21))**(-41/4) assuming d is positive. d**(-205/42) Simplify h**(-6)/((h/(h*h**(-2/7)/h)*h)/h)*h*h*(h**(-5/3)*h)/h*h*h*h**(-4/7)*h assuming h is positive. h**(-95/21) Simplify (a*a**4*a)/a**(-2/9)*a**(-4)/(a/a**6) assuming a is positive. a**(65/9) Simplify (u/(u*u*u/u**(-2/5))*u**(1/5))/((u/(u*u**(-2/15)*u))/u**(5/4)) assuming u is positive. u**(-1/12) Simplify (j**(-4/5)/(j*j**(-5)))**(-3/5) assuming j is positive. j**(-48/25) Simplify t**(-9)/(t/(t/(t**(5/11)*t)*t)) assuming t is positive. t**(-104/11) Simplify ((h*(((h*h**(2/3))/h)/h)/h*h)**(-2/127))**(31/2) assuming h is positive. h**(-62/381) Simplify (k/k**29)/(k**(1/8)/k) assuming k is positive. k**(-217/8) Simplify (u/(u*u**(-9)/u))**(2/25) assuming u is positive. u**(4/5) Simplify (u**(-2/3))**(-4/13) assuming u is positive. u**(8/39) Simplify (p/(p**(1/12)/p)*p)**(4/5) assuming p is positive. p**(7/3) Simplify (l/(((l*l**(-3/5)*l)/l)/l))**25 assuming l is positive. l**40 Simplify (((i/(i/i**(-1/3)))/i)**29)**(-14) assuming i is positive. i**(1624/3) Simplify b*b*b/b**(-30/13)*b**(-2/13)/b*b assuming b is positive. b**(67/13) Simplify (y**(-1/3)/(y/(y*(y/(y*y**(-6)/y))/y)))**48 assuming y is positive. y**272 Simplify a**(9/2)*a/(a*a**(-23)) assuming a is positive. a**(55/2) Simplify ((r*r**(3/7))/r**(-1/3))/(r**(3/2)*r**(4/7)) assuming r is positive. r**(-13/42) Simplify ((p*p/(p/p**(-8)))/(p*p*p*p*p**(-6)))**10 assuming p is positive. p**(-50) Simplify (j**(-3/2)/j)/((j*(j*j**(1/2)*j)/j)/j) assuming j is positive. j**(-4) Simplify (m*m**(-2/9))**(-2/83)*(m*m*m/(m**1*m)*m*m*m)**(4/5) assuming m is positive. m**(11882/3735) Simplify (v*v*v**(-1/30))/(v/v**(-10)) assuming v is positive. v**(-271/30) Simplify p**(2/15)*p*p/(p*p/(p*p/p**4))*p*p assuming p is positive. p**(2/15) Simplify w/((w**(-11)/w)/w)*w**(5/2) assuming w is positive. w**(33/2) Simplify (g**(-1/6))**(-1/9) assuming g is positive. g**(1/54) Simplify y**(2/25)*y**(1/4)*y assuming y is positive. y**(133/100) Simplify l**(1/7)*l/l**(-24/5) assuming l is positive. l**(208/35) Simplify (v*v**(1/8)*v*v*v**(-5))/((v*v**(-3/7)*v)/((v/v**(-2))/v)) assuming v is positive. v**(-81/56) Simplify ((j**(1/6)*j)**(-5))**(-16) assuming j is positive. j**(280/3) Simplify (v/v**11)/((v/v**(3/2))/v) assuming v is positive. v**(-17/2) Simplify h**(4/11)/h**(-13) assuming h is positive. h**(147/11) Simplify (w/w**4)**50 assuming w is positive. w**(-150) Simplify (q**(-2/3))**13*q**(-4)*(q*q**(1/5))/q assuming q is positive. q**(-187/15) Simplify (b**4*b**(2/15))**(-12/5) assuming b is positive. b**(-248/25) Simplify (p*p/(p*p*p/(p**(-1/15)*p)))**(2/23) assuming p is positive. p**(-2/345) Simplify ((p*p/(p/(p*p/p**2)*p))/p**4)/((p*p**5)/p*p**(-1)) assuming p is positive. p**(-8) Simplify (s**2)**(-49)/(s**(-2/5)*s**(1/5)) assuming s is positive. s**(-489/5) Simplify q**(4/3)/q*q/((q*q**(-2)*q)/q)*(q/(q*q/(q**0/q)*q)*q)**(-43) assuming q is positive. q**(265/3) Simplify (a/(a/a**(-3/7)))**(-1/40) assuming a is positive. a**(3/280) Simplify (g**(-3/7)*g/(g**5*g))**37 assuming g is positive. g**(-1406/7) Simplify s**(4/7)/s*(s**(-7)/s)/s*s**1/s**(2/15) assuming s is positive. s**(-899/105) Simplify (((((l**(-1)/l)/l)/l)/l*l)/(l**(2/27)*l*l))/(l**0/((l/l**(-2/5)*l)/l)) assuming l is positive. l**(-631/135) Simplify ((x**(1/9)*x)/x**4)**(-1/52) assuming x is positive. x**(1/18) Simplify (b**(2/5)*b)**21/((b**(1/10)/b)/b**4) assuming b is positive. b**(343/10) Simplify q**10/q**(2/21) assuming q is positive. q**(208/21) Simplify (x**7*x/(x*x*x**(-9)/x))**(-5/6) assuming x is positive. x**(-40/3) Simplify z**20*z**(7/11)/z assuming z is positive. z**(216/11) Simplify (a*(a*a**14)/a)**(2/21) assuming a is positive. a**(10/7) Simplify (o**(-13)/o)/o**3 assuming o is positive. o**(-17) Simplify (v*v**(-3))/(v*v/v**(-6/5)*v)*v**(-2/7)*v*v**(-3/5) assuming v is positive. v**(-213/35) Simplify (y/(y*((y*y**3)/y)/y*y)*(y*y*y**0/y)/y)**(-3/50) assuming y is positive. y**(9/50) Simplify (q*q**(9/4)*q)/((q**28/q)/q) assuming q is positive. q**(-87/4) Simplify ((l/(l*l*(l*l*l**3)/l*l*l*l))/(l*l**(-2/9)))/(((l*l**(-3)/l)/l)/((l*l**(-6))/l)) assuming l is positive. l**(-97/9) Simplify (((h**(-3)/h)/h)/h)/(((h*h*h*h**(-2/11)*h*h*h)/h*h)/h*h) assuming h is positive. h**(-130/11) Simplify o**(-2/27)*o**(3/8)/o*(o/o**0)/(o/o**(-4)) assuming o is positive. o**(-1015/216) Simplify c/(((c/c**(-20))/c)/c)*c**47/c assuming c is positive. c
{ "pile_set_name": "DM Mathematics" }
= -v**2 + 7*v + 11. Let s be d(7). Let a(t) = 2*t**2 - 17*t + 3. Let l be a(s). Let m = l - 54. Solve -m*h = h for h. 0 Suppose 8*a - 3 = 5*a, -4*a + 104 = -5*p. Let l be (-6)/(126/35)*36/p. Solve -l*c - 6*c = 45 for c. -5 Let h(j) = 94*j + 7619. Let q be h(-81). Solve q*l = -640 + 630 for l. -2 Let n be 0/(2 + (-60)/35 - (-35)/49). Solve 4201*w - 4195*w = n for w. 0 Let f(a) = -5*a**2 - 36*a - 47. Let z be f(-2). Let y = 9 + -6. Solve -y*p = -8*p - z for p. -1 Suppose 0 = 47*g - 775 + 70. Solve -g*u + 13 = -77 for u. 6 Suppose -4*o = -5*o + m + 22, 91 = 4*o - 5*m. Solve o*t - 65*t = 368 for t. -8 Suppose -p + 5*u = 9*u - 89, 297 = 3*p - 3*u. Let j = -80 + p. Solve j = 3*t + 20 for t. -1 Suppose -f - o + 384 = f, 0 = -2*f + o + 384. Suppose -192 = -4*k + j, -9*k - 5*j = -13*k + f. Solve k*m = 46*m + 8 for m. 4 Let d = 1072 + -1062. Solve -d*t + 112 = 172 for t. -6 Let x be 3*(-4)/24*(19 - 19). Solve x = 8*m + 686 - 662 for m. -3 Suppose 75*p - 246*p = 278*p - 5837. Solve d - 12 = -p for d. -1 Let o(u) = 5*u - 90. Let h(t) = t. Let s(q) = -4*h(q) - o(q). Let k be s(8). Solve 3 + k = 7*i for i. 3 Let y be -13 - -18 - 2 - 3. Solve 2 + y = x for x. 2 Let o = 296 - -19. Let g = o - 305. Solve 25 = -g*c + 5*c for c. -5 Let m = -32 - -4. Let z(x) = x**3 + 29*x**2 + 30*x + 59. Let w be z(m). Solve -2 = w*y + 13 for y. -5 Let f = 2117 + -2084. Solve -4*m = -f + 17 for m. 4 Let i(o) = -27*o**2 + 1139*o - 187. Let k be i(42). Solve 864 = 119*s - k*s for s. 9 Suppose 2*u = -3*m + 943, 5*u = m + 156 - 476. Solve -8*z - 37*z = -m for z. 7 Let b(v) = 6*v**3 - 4*v**2 - 3*v - 1. Let w be b(-3). Let i = -187 - w. Solve 0 = -i*o + 7*o - 16 for o. 4 Let n be (12 + (2 - 2))*3/6. Let h be (4/n)/((-22)/198). Let l be h/10*(-35)/7. Solve l*r + 0*r + 15 = 0 for r. -5 Suppose 0 = -a + 32 + 8. Let t = -230733 + 230738. Solve t*i - 15 = -a for i. -5 Suppose -48*q = -3*j - 45*q + 45, -7 = -j - q. Suppose 5*p = 5*i, 15 = -2*p + 2*i + 3*i. Solve -3*v - j + p = 0 for v. -2 Let b = 24 - -490. Let k = b + -513. Solve -2*g + k + 7 = 0 for g. 4 Let d be (358*(-1)/5)/((-448)/(-80) + -6). Solve 43*n + d = -79 for n. -6 Suppose 2*g + 42 = 8*g. Suppose h = -2*f - 2 - g, 0 = 5*h + 3*f + 10. Let q be (-1 - (-24)/21) + h/(-7). Solve q*o = -3*o - 15 for o. -5 Let v(w) = 20*w**2 + 26*w - 28. Let r be v(1). Solve -6 + r = -12*n for n. -1 Let x(j) = -j**3 + 2*j**2 + 32*j - 55. Let k be x(-7). Solve -30 = -k*c + 172*c for c. -3 Let a(h) be the second derivative of -7/6*h**3 - 1/20*h**5 + h**2 - 48*h + 0 + 3/4*h**4. Let m be a(8). Solve -m = 4*s + 6 for s. -4 Suppose -466*d + 484*d + 1188 = 0. Let c = -66 - d. Solve c*m - 4 = 4*m for m. -1 Let k(o) = -o**3 - 2*o**2 + 3*o - 4. Let n be k(-4). Suppose 0 = 33*s - 37*s + 3*v + 134, -36 = -s + 2*v. Suppose 4*h - s = -n. Solve -6 = -h*j - 22 for j. -4 Let q(s) = s**3 + 7*s**2 - 15*s - 26. Let m be q(-8). Suppose -m*a + 147 = -9*a. Solve -2*x = -a*x + 20 for x. 4 Suppose -4*s - 4*c = -100, -2*s - 6 + 68 = -c. Suppose -s*l + 2196 = 601. Solve 8*z - l = 19*z for z. -5 Suppose 5*a - 5 = -2*y + 18, 4*y + 9 = a. Suppose -16 = a*j + u - 57, 2*u = 2*j - 26. Solve 0 = -3*g - j for g. -3 Let u = 3665 + -3631. Solve 11 = -u*r + 45*r for r. 1 Suppose -3*m - 4*q + 18 = 0, -14*m + 12 = -12*m + 3*q. Let o(f) = f - f + 17 - 3*f + 2*f. Let r be o(m). Solve -4*d - r = 5 for d. -4 Suppose 0 = a + 5*b - 10 + 9, 5*a - 2*b - 5 = 0. Suppose a = -10*l + 101. Solve 0 = -n + 3*n + l for n. -5 Let d(t) = -2*t**2 + 1. Let j(z) = 7*z**2 - 15*z - 10. Let c(o) = -4*d(o) - j(o). Let x be c(-15). Solve x = -4*y + 2 for y. -1 Let t be (-477)/(-21) + 16/56. Let g be 4/36*-3*-87. Solve -2*k + t = g for k. -3 Let s(k) = 3*k + 120. Let n be s(-40). Suppose f + 2 = 7, 4*f - 10 = 5*t. Suppose h - t*h + 4 = 0. Solve -h*u + 10 + 6 = n for u. 4 Let k(t) = t**3 + 47*t**2 - 143*t + 350. Let f be k(-50). Solve 30*x + 58 + 122 = f for x. -6 Let q(i) = 7*i + 9. Let l be q(-16). Let k = -103 - l. Solve k = -2*y - 4 for y. -2 Suppose 2*h = 3*g - 4883 + 955, -14382 = -11*g - 3*h. Solve -g = 2*a - 1318 for a. 5 Let z = -391 - -392. Suppose -3*w + 27 = 5*m - 0*m, 3*m = -2*w + 18. Suppose 0 = -2*i - 3*c - c + 26, -22 = -2*i - 3*c. Solve w = -i*s - z for s. -2 Suppose 0 = 56*f - 36 + 23 - 211. Let c(w) = w - 8. Let a be c(8). Solve f*h + 16 = -a for h. -4 Suppose 0 = 35*b - 30*b - 15. Suppose 0 = -2*a + b*d + 22, 6*d - 5*d = -4*a + 44. Solve 0 = -5*k - a + 26 for k. 3 Let c = -3722 - -3743. Solve -29*g - 40 = -c*g for g. -5 Suppose -21*d + 250705 = 5*d + 9*d. Solve t + d - 7159 = 0 for t. -4 Suppose -2*x = 0, n = 3*x - x + 22. Let h = -19 + n. Let v be (20/5)/(-4) + h. Solve 1 = w - v*w for w. -1 Suppose j = -4*u - 0*u + 52, -3*j = 3*u - 39. Suppose 15*s = u*s. Solve 14*g - 10*g - 16 = s for g. 4 Let k(h) = 5*h**3 + 39*h**2 - 7*h + 8. Let o be k(-8). Solve 9*z - 11*z - 8 = o for z. -4 Let y = -63 - -66. Suppose -4*l - 2*i - y*i - 4 = 0, i = -4. Suppose -26 = -3*d - l*k, k = 3*d - 3 - 28. Solve r - d = -r for r. 5 Let b be (39/(-52))/((-2)/8). Let w be (105/(-14))/(b/(-6)). Suppose -w*v = -20*v. Solve -4*f = -v*f for f. 0 Let y(g) = g**2 - 8*g + 42. Let v be y(13). Let u = v + -106. Solve j + 2 + u = 0 for j. -3 Suppose -3*k + 3*j + 72 = 0, -32*j = -k - 30*j + 29. Let d = 30 + -13. Let n = k - d. Solve 0 = -4*v + 6*v - n for v. 1 Let m = -23 - -12. Suppose -t - 34 - 14 = 4*v, 4*t = -2*v - 10. Let x = m - v. Solve -x*c + 3*c = 1 for c. 1 Suppose 3*p - 6 = -0. Let w(s) = s**3 + 20*s**2 - 16*s + 45. Let k be w(-21). Let j = 64 + k. Solve p*x - x = j for x. 4 Let s = 516 - 505. Suppose -2*r - 80 = -s*l + 6*l, 2*r = -2*l + 18. Solve l*q + 41 = -29 for q. -5 Let k be (-26 - -17)*(-2)/3. Suppose k*j + 0 - 12 = 0. Let n be -5 + (19 - (1 - j)). Solve 3*y - 8*y - n = 0 for y. -3 Let o be -2*(-5 + 837/54)*(-1)/7. Suppose -n + 10 = -3*x, -3*n - 5*x - 5 - 7 = 0. Let g = n + 1. Solve g - 8 = o*w for w. -2 Let g(s) = -2*s**3 + 16*s**2 - 15*s + 13. Suppose 3*p - 6 = 0, -3*q - 3*p - 5 = -32. Let z be g(q). Suppose 3*a = -z*a. Solve -2*x + a = 2 for x. -1 Let c be (-54)/(-10)*410/246. Solve 0 = 17*u - c*u - 8 for u. 1 Let x = 143 - 138. Suppose 3*a - 10 = t - 13, -x*a = -5. Solve 8 = v + t for v. 2 Let h be 1 + 12/(-36) + 374/6. Solve 8*m = -95 + h for m. -4 Let a(v) = -17*v. Let z be a(-2). Suppose z = 3*p - 2*q, -33 = -3*p + 4*q - q. Let i = 5392 + -5388. Solve 0 = -2*u - i + p for u. 4 Suppose -9*j = -4*j - 85. Solve j*i - 18 = 33 for i. 3 Suppose -2*l - 4*t = -18, 5*l - 3*l + 2*t = 22. Suppose 6*z - 5 - l = 0. Solve z*i - 10 = -1 for i. 3 Suppose -2671 - 5332 - 3877 = -270*m. Solve -46 - m = -15*c for c. 6 Let w = -16 - -25. Let c = -18 + w. Let u be (c/(-6) + -2)*0. Solve -r = -u*r for r. 0 Let d = -8 + 19. Suppose 9 + 35 = d*s. Solve -3*k + s*k = 3 for k. 3 Let a = 0 + 3. Suppose a*y = 4*c - 59 - 73, -220 = 5*y + 3*c. Let n = y - -44. Solve -s + 5*s = n for s. 0 Suppose 3*o = -4*j - 1, -j - 2*o = 3 + 1. Suppose -2*t - 4 = 0, -1 = v + j*t - t. Solve -v - 7 = -4*i for i. 2 Suppose 0 = -6*s + 33 + 39. Suppose 2*g - 8*g = -24. Suppose g*x - 4 - s = 0. Solve 3*m + 2 = -x for m. -2 Let h(r) = -r**3 - 8*r**2 + 21*r + 26. Let i be h(-10). Suppose i*b + 80 = 24*b. Solve -b*w = -5*w for w. 0 Let c = -109 + 109. Solve c = -9*i + 10*i + 5 for i. -5 Let x = -294 + 415. Solve x*a - 119*a + 8 = 0 for a. -4 Let v(t) be the second derivative of t**3/3 + 3*t**2/2 - 9*t - 4. Let x be v(0). Solve -4*o + x = -1 for o. 1 Let k(s) be the second derivative of -25/2*s**2 + 0 + 1/6*s**3 + 25*s. Let a be k(25). Solve 5*l + a*l + 25 = 0 for l. -5 Let y(r) = r**3 - 3*r**2 - 5*r. Let n be y(4). Let o be n/3*(10/4 + -4). Let f be (-3)/2*20/(-15). Solve f = -2*i - o for i. -2 Suppose 54*i - 56*i = 20. Let m(h) = 22*h + 232. Let a be m(i). Solve a*p + 35 = 5*p for p. -5 Let z be 7 + (-4 - (-3 + 11/((-33)/(-18)))). Solve 6*l - 111 + 111 = z for l. 0 Let n(m) = -20*m - m**2 - m - 4*m - 94 + 21 - 48. Let q be n(-18). Solve -q = 3*o + 7 for o. -4 Suppose 31*b - 32*b + 5*y = -25, -5*b = 2*y - 44. Solve 4*p = -b*p - 56 for p. -4 Suppose 0 = -2*b + 2 + 2. Suppose x + 0*x - b*u - 8 = 0, 5*x - 40 = -4*u. Let o be (210/7)/6 - 3/3. Solve o*q + x = -0*q for q. -2 Let p = -4009 - -4019. Solve -3*q - 2 = p for q. -4 Let m = 12378 - 12142. Solve -340 = -6
{ "pile_set_name": "DM Mathematics" }
(d). -6*d**2 Let i(b) = 152*b**2 + 31*b. Let s(o) = -6083*o**2 - 1239*o. Let t(u) = 238*i(u) + 6*s(u). Let j(w) = -17*w**2 - 3*w. Give 56*j(a) - 3*t(a). 14*a**2 Let m(o) = -7*o**3 - 8*o**2 - 34*o. Let q(y) = 5*y**3 + 5*y**2 + 22*y. What is -5*m(t) - 8*q(t)? -5*t**3 - 6*t Let q(b) = b**3 + 2. Let i(y) = 5*y**3 + y + 11. Let w = -1004 - -1003. Let x be (-2)/7 - (-96)/(-7). Let g be (-15 - x)*(-12 - w). What is g*q(h) - 2*i(h)? h**3 - 2*h Let q(c) = -c**3 + 8*c**2 - c - 2. Let r(i) = 3*i**2 - 1. Let j(b) = q(b) - 3*r(b). Let n(o) = 4*o**3 + 3*o**2 + 2*o - 3. Give -6*j(a) - 2*n(a). -2*a**3 + 2*a Let k(n) = -3*n + 4. Let c(s) = -6*s + 9. Let u(t) = 5*t**2 - t - 1. Let z be u(-1). Let g(j) = 6*j - 9. Let q(h) = z*c(h) + 6*g(h). What is -9*k(b) - 4*q(b)? 3*b Suppose 6*y - 24 + 90 = 0. Let b be 1/y*2 - (-264)/121. Let l(r) = r**3 + r**2 + r + 1. Let v(t) = t**3 + 3*t**2 + 3*t + 3. What is b*v(i) - 6*l(i)? -4*i**3 Let s(d) = -d + 5. Suppose 3*w = -10 - 2, -2*w - 28 = -5*h. Let k(q) = 3*q + 19. Let j(m) = m + 10. Let p(o) = h*k(o) - 9*j(o). What is -3*p(i) - 8*s(i)? -i + 2 Let u(t) = t**3 - t. Let j(h) = -h**2 + 4*h + 37. Let a be j(8). Let r(g) = -a - 7 - 3*g + 3 + 8. Give r(x) - u(x). -x**3 - 2*x - 1 Let x(n) = -n - 2. Let c(f) be the second derivative of -f**3/3 - 5*f**2/2 + 6*f - 3. Give 3*c(v) - 5*x(v). -v - 5 Let k(x) = 9*x**2 + x + 2. Let q(i) = -17*i**2 - 2*i - 4. What is 11*k(v) + 6*q(v)? -3*v**2 - v - 2 Let k(b) = -7*b**3 + 5*b**2 - 21. Let d(o) = o**3 + o**2. Calculate 6*d(m) + k(m). -m**3 + 11*m**2 - 21 Let x(u) = -133*u**2 - 35. Let j(l) = -11*l**2 - 3. Suppose k - 6 = 4*k + 3*b, 0 = -3*k - b - 8. What is k*x(v) + 35*j(v)? 14*v**2 Let t(i) = i - 1. Let h(p) = -143*p - 5. Determine -h(n) + 6*t(n). 149*n - 1 Let l(o) be the first derivative of -o**5/60 - o**3/6 - o**2/2 - 2. Let i(k) be the second derivative of l(k). Let h(m) = 6*m**2 + 8. Determine h(a) + 8*i(a). -2*a**2 Let j(t) = 10*t + 3. Suppose -h + 5*w = -11, 19*h - 2*w - 3 = 20*h. Let b(n) = n. Determine h*j(z) - 6*b(z). 4*z + 3 Let b(q) = 11*q**3 + 17*q**2 + 8*q. Let o(u) = 9*u**3 + 16*u**2 + 8*u. What is 4*b(z) - 5*o(z)? -z**3 - 12*z**2 - 8*z Let t(f) = -12*f**3 + 5*f**2. Let p(w) = -23*w**3 + 11*w**2 + w. Give 2*p(s) - 5*t(s). 14*s**3 - 3*s**2 + 2*s Let f(q) = q + 1. Suppose 47 = 3*d - 55. Suppose y - 36 = -d. Let c(s) = 4. Determine y*f(h) - c(h). 2*h - 2 Let c(k) = 10*k**3 - 9*k**2 - 4*k + 4. Let a(x) = 90*x**3 - 80*x**2 - 35*x + 35. What is -4*a(t) + 35*c(t)? -10*t**3 + 5*t**2 Let q(g) = -2. Let d(b) = -3*b**3 + 5*b**2 + 5*b + 5. Let z(c) = -d(c) - 5*q(c). Let n(v) = 32*v**3 - 56*v**2 - 56*v + 56. Give 5*n(h) - 56*z(h). -8*h**3 Let y(l) = l. Let j(d) = -1196566 - 4*d + 1196566. Let m = -2 - -8. Give m*y(a) + j(a). 2*a Let h = 371 - 367. Let f(m) be the third derivative of -m**4/24 + m**3/2 + 2*m**2. Let s(j) = j - 3. Determine h*f(a) + 5*s(a). a - 3 Let y(h) = -10*h**3 + 6*h**2 - 11*h - 1. Let c(u) = -2*u**3 + u**2 - 2*u. Suppose -5*f = -0*f - 110. Suppose -3*w - f = -w. Determine w*c(a) + 2*y(a). 2*a**3 + a**2 - 2 Let v(l) = -2*l**2 - 2*l. Let n(g) be the second derivative of 19*g + 0 - 1/2*g**2 - 11/6*g**3 - 5/6*g**4. Give -2*n(w) + 11*v(w). -2*w**2 + 2 Let r(k) = -222*k + 80. Let z(b) = -37*b + 14. Determine -6*r(i) + 34*z(i). 74*i - 4 Suppose -3*a - 2*g = a - 40, -2*g = 2*a - 24. Let i(h) = a*h + 3*h - 8*h. Let s(q) = 2*q. Determine -i(n) + 3*s(n). 3*n Let d(h) = -5*h**2 + 7*h - 7. Let b = -166 - -157. Let l(w) = -11*w**2 + 15*w - 15. Determine b*d(j) + 4*l(j). j**2 - 3*j + 3 Suppose 0 = -5*g + 20 - 5. Let t(c) = -c**3 - c**2 + 1. Let k(o) be the first derivative of -3*o**4/4 - 2*o**3/3 + 2*o - 1718. Calculate g*k(p) - 6*t(p). -3*p**3 Let k(r) = 2*r + 1. Let t(g) = 15*g + 12. Let b(j) = 6*k(j) - t(j). Let h(l) = -l**2 + 5*l + 11. What is 5*b(a) + 3*h(a)? -3*a**2 + 3 Suppose -6*g - 39 = -9. Let d(p) = p**2 + 7*p + 9. Let j be d(g). Let t(s) = -s + 1. Let z(y) = -y**2 - 3. What is j*z(a) - 2*t(a)? a**2 + 2*a + 1 Let j(h) = -9*h**2 + 4*h - 3. Let y(f) = -25*f**2 + 11*f - 8. Let q(o) = -11*j(o) + 4*y(o). Let s(r) = 22*r**2 - 4. Give 4*q(z) + s(z). 18*z**2 Let a = 5 + -11. Let c(x) = 17*x**2 + 7*x - 13. Let j(f) = f**2 - 2*f - 1. Let h(i) = c(i) - 2*j(i). Let m(b) = -8*b**2 - 6*b + 6. Determine a*h(r) - 11*m(r). -2*r**2 Let u(x) = 7*x - 3. Let h be 1 + (4 - 7 - 3). Let d(n) = -n. Determine h*d(p) - u(p). -2*p + 3 Let n(o) = -8*o**3 - 6*o**2 + 5*o + 10. Let c(z) = 9*z**3 + 7*z**2 - 6*z - 9. Give -6*c(t) - 7*n(t). 2*t**3 + t - 16 Let f(q) = -41*q**2 - 7*q + 16. Let u(n) = -21*n**2 - 3*n + 7. Give 2*f(r) - 5*u(r). 23*r**2 + r - 3 Let j(b) be the third derivative of b**4/24 + 141*b**2. Let n(k) = -4*k. Determine 6*j(o) - n(o). 10*o Let y(x) = -475*x - 6. Let p(t) = 199980*t + 2525. Determine 6*p(c) + 2525*y(c). 505*c Let n(f) be the third derivative of -f**5/30 - f**4/8 - f**2. Let u(z) = 8*z**2 - 8*z - 12*z**2 - 3*z**2 - 3*z. Let k = -19 - -13. Determine k*u(j) + 22*n(j). -2*j**2 Let c(l) = -677*l + 3. Let s(o) = 226*o - 1. Calculate -2*c(z) - 7*s(z). -228*z + 1 Let k(v) = 3*v**3 + 3*v**2 - 3*v - 3. Let m(a) = -3*a**3 - 4*a**2 + 4*a + 4. Let j = 50 + -46. Let c be (-11 + j)*4/(-7). Calculate c*k(r) + 3*m(r). 3*r**3 Let t(h) be the third derivative of -h**4/24 + h**3/6 + 183*h**2. Let o(l) = -8*l + 1. Calculate -o(x) + 3*t(x). 5*x + 2 Let q(c) = 131*c - 2 + 8*c**2 - c**2 - 129*c. Let o(h) = 34*h**2 + 11*h - 11. Give -2*o(r) + 11*q(r). 9*r**2 Let u(n) = -154*n - 30. Let b(z) = -102*z - 21. Calculate 7*b(s) - 5*u(s). 56*s + 3 Let v(p) = -p. Suppose 0*g + 4 = g + c, -2*g = 4*c - 14. Let o = 13 - 13. Suppose o = -11*b + 6*b + 25. Let s(m) = -3*m**2 + 5*m. Give b*v(t) + g*s(t). -3*t**2 Let b(j) = -3*j**2 + j + 4. Let u(s) = -3*s**2 - 5*s - 9. Let t(w) = -5*w**2 - 6*w - 9. Let h(f) = -4*t(f) + 5*u(f). Give 5*b(y) + 2*h(y). -5*y**2 + 3*y + 2 Let r(d) = -1 + 5*d + 4*d - 4*d - 2. Let j(v) = 9*v - 5. Let k(q) = 3*q - 29. Let c be k(12). Determine c*r(w) - 4*j(w). -w - 1 Let d(t) = -11*t - 158. Let o(i) = 5*i + 79. What is 4*d(b) + 9*o(b)? b + 79 Let g(z) = 8*z**3 - 1. Let l(v) = 6*v**3 - 1. What is -2*g(n) + 3*l(n)? 2*n**3 - 1 Suppose 2*c - 50 = -2*v + 5*v, -4*v - 8 = 0. Let y(g) be the second derivative of -5*g**3/3 + 5*g. Let h(s) = 2*s. What is c*h(m) + 4*y(m)? 4*m Let q(r) = -7*r**2 - 4*r. Let b = 25 + -19. Suppose -60 = b*h + 4*h. Let o(d) = -13*d**2 - 7*d. Determine h*o(a) + 11*q(a). a**2 - 2*a Let u(o) = 2*o**2 + 2. Suppose -2*x = -2*h + 7*h, 0 = 3*x + 15. Let i(p) = -155*p**2 + 0 - 4 + 5 - p**3 + 156*p**2. Calculate h*i(n) - u(n). -2*n**3 Let b(z) = -98*z - 1. Let u(r) = -197*r - 1. Calculate 5*b(i) - 3*u(i). 101*i - 2 Let w(s) = -12*s - 14. Let r(k) = -10*k - 15. What is 5*r(i) - 4*w(i)? -2*i - 19 Let m(g) = g**3 + g**2 - g. Let n(q) = -3*q**3 - 5*q**2 + 7*q + 2. Suppose 3*w = -2*t - 3*t + 47, t - 2*w = -1. Let s = 2 - t. Determine s*m(a) - n(a). -2*a**3 - 2*a - 2 Suppose -12 = n + 2*g, n = -5*g + 4*g - 8. Let q(t) = -2*t**2 - t. Let z(d) = -d**2 - d. Determine n*z(u) + 3*q(u). -2*u**2 + u Let h(m) = m - 5. Let w(d) = d - 1. What is 2*h(u) - 5*w(u)? -3*u - 5 Let i(w) be the second derivative of -4*w**3/3 - w. Let h(r) = -7*r. Suppose -7*t = -2*t - 5. Let a be t*-1 + -12 + 8. Determine a*i(y) + 6*h(y). -2*y Suppose 0 = 5*r + 107 - 37. Let t(v) = v + 2. Let x(p) = 4*p - 8*p - 45 + 38. What is r*t(h) - 4*x(h)? 2*h Suppose -m + 5*v + 1 = 0, 2 = 17*m - 15*m + 3*v. Let r(i) = -i**3 + i**2 - 1. Let g(h) = 4*h**3 + 3*h**2 + 3. Determine m*g(d) + 3*r(d). d**3 + 6*d**2 Let v(a) = a**2 - 5*a + 1. Let x(k) = -6*k**2 + 15*k - 29. What is -3*v(m) - x(m)? 3*m**2 + 26 Let i = -705 - -706. Let x(s) = 1. Let a(z) = -10*z + 3. Give i*a(v) - x(v). -10*v + 2 Let p(h) = 18*h**3 - 5*h**2 + 5*h - 5. Let m(f) = -f**3 + f**2 - f + 1. Suppose -11 + 10 = z. Determine z*p(x) - 5*m(x). -13*x**3 Let n(d) = 4*d**3 - 4*d**2 - 2*d. Let u = 856 - 854. Let a(o) = o**3 - o**2 - o - 1. Determine u*a(s) - n(s). -2*s**3 + 2*s**2 - 2 Let j(w) = -3*w**3 - 15*w**2 - 5*w - 4. Let t(d) = -d**3 - 4*d**2 + d - 1. Calculate -j(y) + 4*t(y). -y**3 - y**2 + 9*y Let d(w) = -w**2 - 1. Let l(s) = 5*s**2 - 11*s - 10. Let n(k) = -3*k**2 + 9*k + 9. Let a(v) = 4*l(v) + 5*n(v). Calculate -a(t) - 4*d(t). -t**2 - t - 1 Suppose -10 = 11*h +
{ "pile_set_name": "DM Mathematics" }
ommon multiple of x and r. 18 Let o(g) = -g**2 + 6*g - 6. Let k be o(5). Let t = k - -3. Calculate the least common multiple of t/1*2/1 and 20. 20 Let y = -76085/22 - -3459. Let v be 7271/2790 + 4/(-18). Let s = -387/31 + v. What is the common denominator of y and s? 110 Let q = -59201/18 + 3286. Calculate the common denominator of q and (12/32)/(30*(-3)/(-1356)). 180 Suppose 4 = -3*a - 2, 3*t = a + 14. What is the lowest common multiple of 10 and t? 20 Suppose 0 = -x - 3*m + 2589, 4*x + 5829 = 2*m + 16255. Let r = 2217011/1518 + 79207/69. Let l = r - x. Calculate the common denominator of 97/8 and l. 88 Let s(m) = -m + 2. Let n be s(0). Let k be (n/5)/((-111)/495). Let g = -1405/518 - k. Calculate the common denominator of 39/20 and g. 140 Suppose -6*c = -c. Calculate the smallest common multiple of 22 and -12*(1/(-2) - c). 66 Suppose 8 = 5*n - n. Suppose 0 = t + 4*l - 8, 0*l + n*l = 2*t - 46. What is the least common multiple of 10 and t? 20 Let v = 50 - 26. What is the least common multiple of v and 9? 72 Calculate the lowest common multiple of 13 and 7 - (-2)/(-3 - -1)*1. 78 Calculate the lowest common multiple of 16 and 3 + 5*(-3 - -4). 16 What is the common denominator of 2/(-4) + (-146)/6 and 657/6*(-12)/(-36)? 6 Let h = 18043/4 + -4533. Let x = 79114 + -3323165/42. Let d = x + 85/7. Calculate the common denominator of d and h. 12 What is the smallest common multiple of 3*(-6)/45*-5 and 18? 18 Let a be 1 + 4/((-30336)/13150). Let c = 61747/1326963 - 2/16797. Let w = c + a. Calculate the common denominator of w and 15/22. 176 Let q = -112894/5 + 22410. Let w(h) = -5*h**3 + 5*h**2 + 4*h + 3. Let b be w(-3). Let l = b + q. Calculate the common denominator of l and -44/5. 5 Let y be ((-7)/(-4))/((-1)/(-68)). Let j = y + -53. Find the common denominator of -31/22 and (2/j)/((-4)/114). 22 Suppose -4*f + 5*l + 13 = 0, 7 = f + 3*l - 8*l. Suppose 4*r + 5*t - 20 = 0, 0*t - 8 = 3*r - f*t. Calculate the least common multiple of 14 and r - (-2*1 - 18). 140 Let t = 42526391319860 + -4313451871655951141/101430. Let s = -1/405720 + t. Let g = -815 - s. Calculate the common denominator of -41/10 and g. 40 Let r(f) = -2*f. Let t = -7 + 21. What is the least common multiple of r(-6) and t? 84 Let g be (-4)/(-6) - (-3076)/138. Let c = 4067/92 - g. What is the common denominator of 74/14 + 12 + -14 and c? 28 Find the common denominator of 510/231 - 8/14 and 52/3. 33 Suppose 0 = -j - 0 + 9. Calculate the least common multiple of j and 3. 9 Let b(n) = -4*n - 4. Let k be b(-5). Let o = 14 + -20. Let u = k + o. Calculate the least common multiple of 5 and u. 10 Let l = -4 - -4. Let f = l + -1. Let c = f - -9. What is the least common multiple of 9 and c? 72 Let x(z) = 2*z - 12. What is the smallest common multiple of x(15) and -1 - (-2 + 1 + -22)? 198 Let u(a) = a**3 - 2*a**2 - 5*a + 4. Let y be u(5). Let i = 127 + -2287/18. Find the common denominator of 453/y + -2 + 1 and i. 18 Let u = 8 - 11. What is the common denominator of -23/8 and -3 - u/((-27)/48)? 24 Let y(f) = -f**2 - 5*f + 3. Let l be y(-5). Let g be (1/l)/(7/21). Calculate the smallest common multiple of 22 and g/(-1)*-2*2. 44 Let j = -833/48 + 59/16. Let q be (-2)/(-3)*24/(-2). Calculate the common denominator of 2/q + (-70)/(-4) and j. 12 Calculate the common denominator of -17/11 and ((-18)/10)/(4/70). 22 Let y = -1/935 - -25261/14960. Find the common denominator of -27/16 and y. 16 Let u(n) = n**2 + 10*n + 27. What is the smallest common multiple of 28 and u(-8)? 308 Let v = -4314110674/345 - -25009375/2. Let l = v - -33/115. Calculate the common denominator of 79/24 + (-1)/(-3) and l. 24 Let n(m) = m**2 - 1. Let p be n(-2). Suppose r - 4 = 2*r + 2*f, 0 = p*r + 5*f + 7. What is the smallest common multiple of 8 and r? 24 Let z = -7 - -55. What is the lowest common multiple of z and 8? 48 Suppose m - 7 = 2. Calculate the smallest common multiple of 5 and m. 45 Let j(b) = 2*b**3 - 2*b**2 - b + 1. What is the least common multiple of j(2) and (-141)/(-15) + (-4)/10? 63 Suppose -4*p + c = -0*p - 54, 4*c + 20 = 2*p. Calculate the smallest common multiple of 2 and p. 14 Let f = 8822165/36062 - 93024/365. Let z = -30/247 - f. Suppose -3*a + 3 = 0, -y = -5*a - 7 - 13. Find the common denominator of y and z. 10 Let c be -2 + (18/(-3))/(-1). Suppose 3*h - 2*h - c*o + 5 = 0, -h + 2*o = -1. Calculate the smallest common multiple of h and 2. 14 Let h(b) = 3*b**2 + b. Let q be h(3). Calculate the least common multiple of 1 and ((-4)/(-5))/(3/q). 8 Suppose 3*x + x = 12. Let o be (x - 9)/(32/(-47)). Let t = o + 625/48. Find the common denominator of t and -69/14. 42 Let x(w) = w + 5. Let o(z) = -4*z. Let d be o(-6). Let f = d + -15. What is the lowest common multiple of x(6) and f? 99 Let c(r) = 2*r**2 - 3*r. What is the smallest common multiple of c(3) and 3? 9 Let k(y) = 2*y + 4. Suppose -24 = 5*p + o - 66, -3*o + 6 = 0. Calculate the least common multiple of p and k(5). 56 Let y = 127/32 - 523/32. Let m = -279 - -800/3. Calculate the common denominator of m and y. 24 Let y = 9781/9 + -1093. What is the common denominator of y and 79/6? 18 Let j be -2 + (-182517)/30 + -1. Let z = 6081 + j. Find the common denominator of z and 35/6. 30 Suppose 3*t = -2*a + 54, 5*t - 85 = -4*a - a. Find the common denominator of 11/9 and -1*2 - (-148)/t. 45 What is the lowest common multiple of 6 and 2/12 - (-35)/6? 6 Let h = 113 - 99. Calculate the least common multiple of 76 and h. 532 Find the common denominator of 4/6*(-5 - 17) and 21/4. 12 What is the smallest common multiple of (-1)/(-2)*9/(81/18) and 2? 2 Let l be (-1)/((-108)/(-106) - 1). Let q be 35*((-552)/(-220) - 4). Let v = l - q. What is the common denominator of 25/9 and v? 99 Calculate the common denominator of -47/9 and 76/(-27) - -1 - (1 + -4). 27 Let j = 11 - -11. Let r(n) = 16*n**2 - 36*n - 31. Let q(u) = -3*u**2 + 7*u + 6. Let o(i) = 11*q(i) + 2*r(i). What is the lowest common multiple of j and o(3)? 110 Let o(w) = -w**3 - 9*w**2 + w - 4. Let q be o(-10). Suppose -5*c + q + 4 = 0. Calculate the least common multiple of c and 6. 18 Let b(m) = -m**2 + 8*m - 4. Let s(v) = v**3 + 11*v**2 + 8*v - 14. Let l be s(-10). What is the least common multiple of 2 and b(l)? 8 Let a(n) = -n**3 - 6*n**2 + 5*n + 6. What is the least common multiple of a(-7) and 14? 140 Let j be (-6)/9*(-1 - -4). What is the common denominator of j/33*117/(-12) and 1 + 2 - (-765)/18? 22 Let g be 6/(-9) + (-5)/(-3). Let m(r) = -16*r**2 + r - 1. Let h be m(g). What is the least common multiple of (21/6)/(-7)*h and 2? 8 Let z(q) = q**3 - 5*q**2 + 3. Let l be z(5). Let y be (0 - 0) + l + 1. Calculate the common denominator of 27/132 + 1/y and 6. 11 Let z be ((-3243)/2)/((-33)/87). Let f = -4274 + z. Find the common denominator of -79/8 and f. 88 Let x = -18/41 + 485/451. Calculate the common denominator of -40/7 and x. 77 Let b = 1540327/856933 + -390/217. Let l = b + 280373/23694. Calculate the common denominator of -31/10 and l. 30 Suppose -4*r + 3*i = -2*i + 380, -4*r + 4*i - 376 = 0. What is the common denominator of 4*(-5)/(r/4) and 13/2? 18 Let s = -18806/8295 - -43/237. Calculate the common denominator of -49/9 and s. 315 Let v = 15/13286 + -2737951/916734. Let r = v + -9/92. Let u = -642/25 + 12949/550. Find the common denominator of r and u. 132 Let p(s) be the second derivative of -s**5/20 - 7*s**4/12 - s**3/6 - 3*s**2 - s. Let h be p(-7). Let j = 3 + h. Calculate the least common multiple of 14 and j. 28 Let x(t) = -11*t**2. Let j be x(-1). Let w = -4 - j. What is the lowest common multiple of w and 6? 42 Suppose 4*o + 13 = p, -2*o - 5*p + 26 = 5. Find the common denominator of 45/4 and -1 - 51/4*o. 4 Let d = 5 - -5. Let h(f) = -f**2 - f. Let l be h(-1). Suppose 0 = 5*y - 4*u - 28, -y + 2*u + 8 = l. Calculate the lowest common multiple of y and d. 20 Suppose 3*j - 5*j - 14 = -2*s, -4*j - 20 = -3*s. Suppose 0*b - 56 = -2*b. What is the lowest common multiple of s and b? 56 Let l be (-1 - 0) + 543/(-2). Let y = l - -281. Calculate the common denominator of y and (-1)/4*(-74)/4. 8 Let x = -3 - -5. Let l be x/(((-3)/(-6))/1). Suppose 0*n + c - 19 = -4*n, 24 = l*n - 4*c. Calculate the least common multiple of 7 and n. 35 Let j = -18 + 209. Suppose 0 = 3*m - 5*i - j, -5*m + 308 = -0*m
{ "pile_set_name": "DM Mathematics" }
*l**2 + 18*l + 7. Is a(16) a multiple of 7? False Let j = 6 - 2. Does 12 divide (-594)/(-24) - 3/j? True Let n(p) = p - 4. Let q be n(8). Suppose q*b = b - 24. Let l = 18 + b. Is 5 a factor of l? True Let g = 43 + 4. Let c = 125 - g. Is c a multiple of 22? False Let c(m) be the first derivative of m**3/3 + 5*m**2/2 - 2. Is c(-6) even? True Let g = 84 + -8. Does 11 divide g? False Let z(b) = 0*b**2 + 0*b**3 - b**3 + 2*b + b**2 - 6. Is z(-3) a multiple of 12? True Suppose y + 2*y = 837. Is 43 a factor of y? False Let m be 356/(-28) + 2/(-7). Let u = m - -25. Suppose -7*n - 25 = -u*n. Is 2 a factor of n? False Let a = 326 - 229. Is 22 a factor of a? False Let w be (-4)/14 - (-200)/14. Is 14 a factor of (w - 9)*10/2? False Suppose -3*c = -4*l - 205, 4*c + 0*l - 266 = -2*l. Is 6 a factor of c? False Suppose i - 32 = -13. Does 3 divide i? False Is -1 - -53 - (3 - -1) a multiple of 12? True Let f(u) = 32*u**2 - 2*u + 1. Is f(1) a multiple of 2? False Let q be (-2 + 4/2)/(-1). Suppose q*u + 5*u = 125. Is u a multiple of 8? False Let q = 865 + -559. Does 20 divide q? False Is 22*(3 + (-34)/8)*-4 a multiple of 12? False Let a be 12/(-30) - 27/(-5). Suppose -5*j - 4 = -n - 20, -a*j + 20 = 0. Is 2 a factor of n? True Let i(l) = -l**3 + 5*l**2 - l - 1. Let w be i(5). Let y(g) = -g**3 - 7*g**2 - 4*g + 8. Let h be y(w). Is h/(-14) + 136/14 a multiple of 5? True Let v be -4*(1/(-2) + 0). Suppose v*n + 3*k = 8, 2*n + 0*n - 3*k + 16 = 0. Let q = 4 - n. Is 2 a factor of q? True Let i(a) = 23*a**2 + 4. Is i(2) a multiple of 24? True Suppose 4*j = y - 78, 5*y - 71 = 4*y - 3*j. Let a = 139 - y. Is a a multiple of 19? False Suppose 3*s = 6, j = 3*j - 3*s - 66. Is 12 a factor of j? True Let k be 73/(-5) - (-6)/(-15). Let p be (-6)/21 + k/21. Is ((-2)/6)/(p/9) a multiple of 3? True Let c(d) = -34*d + 18. Is c(-6) a multiple of 19? False Suppose -5*i = 15 - 365. Does 16 divide i? False Let b = -2 + 4. Let a(f) = 7*f**2 + 5*f + 2. Let z be a(-3). Suppose -6 - z = -b*y. Is 14 a factor of y? True Let h(v) = -19*v - 6. Let a be h(-4). Suppose -2*j = -2*p + a, p + j - 20 = 5*j. Is 20 a factor of p? True Suppose 4*d = 12 - 0. Suppose -d*g = -s - 31, -2*g + s + 5 = -15. Is g a multiple of 11? True Let x = 304 + -151. Suppose -4*c + x = -147. Is 14 a factor of c? False Let h be 6/9 + (-19)/(-3). Let o(m) = 13*m**2 - 7*m + 7. Let p(f) = -7*f**2 + 3*f - 4. Let u(b) = -6*o(b) - 11*p(b). Is u(h) a multiple of 8? True Is -5*(-3 - 19/5) a multiple of 8? False Suppose -24 = -6*r - 0. Suppose 3*h + r*z = -h + 104, h - 2 = 5*z. Is 11 a factor of h? True Let g = 45 - -6. Is g a multiple of 22? False Let o(b) be the third derivative of 7*b**4/24 - 8*b**2. Suppose 30 = 3*m + 4*i, -3 = -5*m + 5*i + 12. Is 21 a factor of o(m)? True Let f(k) = -k**3 + 2*k + 1. Suppose -4*b = -2*b - 4. Suppose -h + b = 5. Is f(h) a multiple of 13? False Let b be (42/(-4))/((-3)/4). Let l(z) = 8*z + 3. Let h be l(6). Suppose -3*t + b = y, h = 2*y + 3*y - 4*t. Is 4 a factor of y? False Let z = -8 + 12. Suppose 0 = -z*s - 0*s + 8. Suppose g + s = 7. Does 4 divide g? False Let f(y) = 4*y**2 - 8*y - 10. Let t(p) = -5*p**2 + 7*p + 11. Let i(j) = 6*f(j) + 5*t(j). Does 9 divide i(-8)? False Let j = -22 - -27. Is 5 a factor of j? True Let o(t) = 6*t**2 - t. Let j(f) = f**2 - 5*f - 4. Let b be j(6). Is o(b) a multiple of 13? False Let y = 501 - 181. Does 20 divide y? True Let m = -9 - -70. Is 28 a factor of m? False Let b(u) = u**2 + u + 6. Let g = -1 - -1. Suppose -3*f - 3 = -5*t - g*t, -5*t = -2*f - 2. Does 6 divide b(t)? True Suppose -15 = -3*i, -5*i + 57 = 3*a + a. Suppose -a = -4*n + 2*n. Suppose m + 12 = n*m. Is m a multiple of 3? False Let k = 56 - -145. Is k a multiple of 16? False Is 520/56 + (-2)/7 a multiple of 3? True Suppose 9*s - 20 = 4*s. Suppose -s = 2*z - 24. Does 5 divide z? True Let u be -1 + (-2 - -5) - 9. Let q(h) = -h**3 - 6*h**2 + 6*h - 10. Let x be q(u). Is 21 a factor of 7/(x/72*-3)? False Let m(f) = -1 + 21*f**3 + 2 + 10*f**3. Is m(1) a multiple of 16? True Let j(m) = -45*m**3 - 2*m**2 - m + 1. Let h(n) = n**2 - 5*n - 7. Let r be h(6). Is 15 a factor of j(r)? True Let l be (-30)/(-26) + 6/(-39). Let w be (-1)/(-2)*(85 + l). Let t = 83 - w. Is t a multiple of 20? True Suppose 0 = -3*i - 0*j - j + 28, i - 16 = 3*j. Let c = 12 + i. Does 8 divide c? False Suppose 2 = 6*c - 4*c. Is 1 + (c + 14 - -2) a multiple of 18? True Suppose 0 = -2*i + 7*i - 25. Suppose -2*v + 3 = -i. Suppose -20 = -2*h + v. Is 6 a factor of h? True Let y be ((-6)/5)/((-4)/10). Suppose 2*z - 21 = -3. Suppose k = -y*s + 5*k + 8, 0 = -3*s + 3*k + z. Is 4 a factor of s? True Suppose 2*w = 3*w - 7. Let c = w - -16. Is c a multiple of 8? False Let m(l) = l. Let y be m(2). Suppose y*a - z = -110, 3*a - a = -2*z - 116. Let k = 89 + a. Does 13 divide k? False Let b = -78 - -249. Is 17 a factor of b? False Suppose -510 - 996 = -6*u. Is 20 a factor of u? False Let n(m) = 2*m**2 + 4*m - 1. Let k be n(-3). Suppose 2*j - k*l = -0*l + 40, -16 = 4*l. Does 9 divide j? False Suppose 0 = -3*c - 5*i - 68 + 222, -4*c + 2*i + 188 = 0. Is 12 a factor of c? True Suppose -d + 2*d - 26 = 0. Suppose -2*q + 3*o + 0 - d = 0, 5*o = 20. Let j(v) = v**3 + 6*v**2 - 10*v + 2. Is 18 a factor of j(q)? False Suppose y = 2*y + 21. Is 20 a factor of -3 - (-2 - 0) - y? True Suppose 14*p = 8*p + 2160. Is p a multiple of 54? False Let c(b) = 3*b**2 + 7 - 2*b**2 - 3 + 3*b. Let a be c(-4). Is 9 a factor of 7*1 - a/(-4)? True Suppose -r + 5*f = -407, 0*r + r - 3*f = 399. Suppose 3*s = -2*n + 375, r = 3*n - n - s. Suppose n = -v + 5*v. Is v a multiple of 13? False Let f(d) = -d - 13. Let z be f(-13). Suppose -3*t = 5*y - 205, 316 = -z*t + 4*t - 4*y. Is 25 a factor of t? True Let g(k) = -26*k + 27. Is g(-13) a multiple of 41? False Suppose -12*y + 13*y = 42. Is y a multiple of 21? True Suppose 4*s + 3*j - 168 = 0, 2*s + 43 - 129 = -2*j. Let n = -27 + s. Is n a multiple of 6? True Let t = 21 + -7. Let o = t + 2. Is 8 a factor of o? True Let h(n) = n**2 + 8*n + 9. Let l be h(-6). Is 14 a factor of (92/12 + l)*3? True Suppose 0 = 10*s - 7*s - 198. Is 33 a factor of s? True Let w(b) = b**3 + 6*b**2 - 6*b - 8. Is 12 a factor of w(-4)? True Suppose 0 = 5*q - 330 - 55. Suppose -4*c + q + 43 = 0. Is c a multiple of 15? True Let v = -9 + 46. Is 9 a factor of v? False Let j(a) = -29*a. Let l be j(-6). Suppose -3*d = 4*v - 147, 2*v = -3*d + 7*v + l. Does 32 divide d? False Let k = 12 + -6. Is (-32)/(-1) - (7 - k) a multiple of 25? False Let k be 16 + 1 + 12/(-4). Let p(i) = -i**2 + 19*i - 5. Is p(k) a multiple of 13? True Let p be 4/(0 - -4) + 43. Let r = p - 24. Is r a multiple of 5? True Let y(u) = -u**3 + 3*u**2 + 6*u - 2. Let l = 8 + -4. Is 5 a factor of y(l)? False Let b be (3/(-2))/(3/12). Let r be (0 - 150)*3/b. Suppose 4*w - r = -w. Is w a multiple of 9? False Suppose -p = -g - 113, 5*g + 245 + 206 = 4*p. Is p a multiple of 20? False Let p = -11 + 17. Does 3 divide p? True Let v be (-2)/7 + 562/7. Suppose 4*s - 5*k = 27, 3*s + 8*k + 6 = 3*k. Suppose 8*q - s*q - v = 0. Is q a multiple of 7? False Suppose -4*d = -73 + 17. Does 14 divide d? True Suppose 4*o + 3*p + 2*p - 9 = 0, -4*o + 2*p = -30. Suppose -o*j = -70 - 26. Does 4 divide j? True Suppose -5 = -s + 28. Is s a multiple of 11? True Let g = 13 - -17. Is 15 a factor of g? True Let l(d) = 2*d**2 + 7*d + 7. Is l(-5) a multiple of 11? True Let l(o) = -o**2 + o - 1. Let j(g) = -2*g**2 - 7*g + 5. Let c(p) = -j(p) - 5*l(p). Does 10 divide c(2)? False Let k(p) = -p + 2. Let f be k(6). Let w = f + 6. Is 2 a factor of w? True Suppose -2*h + 65 = y - 3*h, -5*y - 4*h + 352 = 0. Let p = y - 40. Does 7 divide p? True Let u = 15 - 9. Is 19 a factor of 76*(4 - 21/u)? True Suppose 5*u + 241 = 691. Is u a multiple of 30? True Let t(p) = -5*p. Let n be 0/2*(-6)/(-12). Let b = -5 + n. Is t(b) a multiple of 13? False Let g be -2*((-3)/(-2))/(-1). Suppose -43 = -4*l - 2*b - b, 2*l = -g*b + 29. Suppose 5*k + 4*v = 98, -2*v = -k + l + 21. Is 11 a factor of k? True Let s be (-30)/4*(-18 + 0). Suppose 2 = 2*n, 2*n + n = -3*c + s. Suppose -2*z = 2*z - c. Is 4 a factor of z? False Let f(s) = s**3 - 3*s**2 - 8*s + 5. Does 8 divide f(5)? False Let w be ((-2)/5)/((-3)/15). Suppose -2*z + 5*k + 14 = 0, 0*z - 4*k + 14 = w*z. Suppose -108 = -z*d +
{ "pile_set_name": "DM Mathematics" }
of 8, 26, 56, 98? 6*u**2 + 2 What is the c'th term of 48, 50, 56, 66? 2*c**2 - 4*c + 50 What is the a'th term of -76, -152, -228, -304? -76*a What is the q'th term of 6054, 12105, 18156, 24207, 30258? 6051*q + 3 What is the q'th term of 14, 18, 4, -40, -126, -266, -472? -2*q**3 + 3*q**2 + 9*q + 4 What is the w'th term of 168, 174, 184, 198, 216, 238? 2*w**2 + 166 What is the g'th term of -20, -41, -62? -21*g + 1 What is the i'th term of -309, -322, -343, -372? -4*i**2 - i - 304 What is the l'th term of -379, -394, -411, -430, -451? -l**2 - 12*l - 366 What is the z'th term of 94, 240, 438, 688? 26*z**2 + 68*z What is the d'th term of -59, -39, -17, 7? d**2 + 17*d - 77 What is the u'th term of 6942, 6940, 6938, 6936, 6934? -2*u + 6944 What is the v'th term of -9, -7, -13, -33, -73, -139, -237, -373? -v**3 + 2*v**2 + 3*v - 13 What is the b'th term of 2, 12, 22, 32, 42? 10*b - 8 What is the q'th term of -5911, -5909, -5907, -5905? 2*q - 5913 What is the h'th term of -2, -2, 2, 10, 22? 2*h**2 - 6*h + 2 What is the q'th term of -807, -801, -795, -789? 6*q - 813 What is the c'th term of -92, -182, -272, -362? -90*c - 2 What is the z'th term of 8, 17, 18, 5, -28, -87, -178, -307? -z**3 + 2*z**2 + 10*z - 3 What is the w'th term of 5, 8, 9, 8, 5, 0? -w**2 + 6*w What is the n'th term of 2362, 2356, 2338, 2302, 2242, 2152, 2026? -n**3 + n + 2362 What is the x'th term of 49, 96, 143, 190? 47*x + 2 What is the p'th term of -32, -84, -150, -230, -324, -432, -554? -7*p**2 - 31*p + 6 What is the b'th term of 24, -43, -200, -447, -784, -1211? -45*b**2 + 68*b + 1 What is the p'th term of -116, -218, -308, -386, -452? 6*p**2 - 120*p - 2 What is the r'th term of -198, -1614, -5454, -12930, -25254, -43638? -202*r**3 - 2*r + 6 What is the q'th term of -13, -29, -45, -61, -77? -16*q + 3 What is the h'th term of -11, -29, -65, -125, -215, -341, -509? -h**3 - 3*h**2 - 2*h - 5 What is the t'th term of -6, 9, 48, 123, 246? 2*t**3 + t - 9 What is the r'th term of -289, -266, -229, -172, -89? r**3 + r**2 + 13*r - 304 What is the p'th term of -5, -2, 1? 3*p - 8 What is the o'th term of 416, 418, 420, 422? 2*o + 414 What is the r'th term of 189, 197, 227, 291, 401, 569, 807, 1127? 2*r**3 - r**2 - 3*r + 191 What is the t'th term of -46, -198, -452, -808? -51*t**2 + t + 4 What is the p'th term of 24, 29, 32, 33, 32? -p**2 + 8*p + 17 What is the j'th term of 1294, 1297, 1302, 1309, 1318, 1329, 1342? j**2 + 1293 What is the g'th term of 4, 39, 96, 175? 11*g**2 + 2*g - 9 What is the n'th term of -22, -68, -138, -226, -326, -432? n**3 - 18*n**2 + n - 6 What is the h'th term of -461, -926, -1391, -1856, -2321? -465*h + 4 What is the v'th term of 0, -12, -30, -54, -84, -120? -3*v**2 - 3*v + 6 What is the z'th term of -55, -189, -403, -691, -1047, -1465? z**3 - 46*z**2 - 3*z - 7 What is the q'th term of 29, 69, 109, 149, 189? 40*q - 11 What is the u'th term of 33, 73, 135, 225, 349, 513, 723? u**3 + 5*u**2 + 18*u + 9 What is the m'th term of -55, -112, -169, -226? -57*m + 2 What is the y'th term of -41, -272, -895, -2108, -4109, -7096, -11267? -33*y**3 + 2*y**2 - 6*y - 4 What is the s'th term of -5, 10, 35, 76, 139, 230, 355? s**3 - s**2 + 11*s - 16 What is the f'th term of -9, -12, -19, -30, -45, -64, -87? -2*f**2 + 3*f - 10 What is the k'th term of 155, 560, 1241, 2204, 3455, 5000, 6845? k**3 + 132*k**2 + 2*k + 20 What is the o'th term of -164, -188, -234, -302, -392, -504, -638? -11*o**2 + 9*o - 162 What is the i'th term of -149, -150, -153, -158? -i**2 + 2*i - 150 What is the p'th term of -9, -124, -421, -990, -1921, -3304? -15*p**3 - p**2 - 7*p + 14 What is the p'th term of 4350, 4348, 4346, 4344, 4342, 4340? -2*p + 4352 What is the y'th term of 6, 18, 44, 90, 162, 266, 408? y**3 + y**2 + 2*y + 2 What is the v'th term of -91, -99, -109, -121? -v**2 - 5*v - 85 What is the i'th term of -37, -75, -113? -38*i + 1 What is the o'th term of -1009, -2045, -3081, -4117, -5153? -1036*o + 27 What is the m'th term of 1442, 1443, 1444? m + 1441 What is the c'th term of -23, -70, -117, -164? -47*c + 24 What is the z'th term of 331, 668, 1031, 1432, 1883, 2396? 2*z**3 + z**2 + 320*z + 8 What is the v'th term of -173, -170, -167, -164, -161, -158? 3*v - 176 What is the u'th term of -2438, -2441, -2444, -2447, -2450, -2453? -3*u - 2435 What is the d'th term of 73, 77, 83, 91, 101, 113? d**2 + d + 71 What is the y'th term of 112, 445, 994, 1753, 2716? -y**3 + 114*y**2 - 2*y + 1 What is the i'th term of 716, 720, 712, 686, 636, 556? -i**3 + 11*i + 706 What is the n'th term of -489, -980, -1471, -1962, -2453? -491*n + 2 What is the y'th term of 184, 376, 570, 766, 964, 1164, 1366? y**2 + 189*y - 6 What is the d'th term of -278, -275, -270, -263, -254? d**2 - 279 What is the w'th term of 19, -4, -73, -212, -445? -4*w**3 + w**2 + 2*w + 20 What is the i'th term of -16, -39, -64, -91? -i**2 - 20*i + 5 What is the p'th term of -15, -56, -113, -180, -251? p**3 - 14*p**2 - 6*p + 4 What is the q'th term of 13, 32, 89, 202, 389, 668, 1057? 3*q**3 + q**2 - 5*q + 14 What is the s'th term of 33, 153, 361, 663, 1065? s**3 + 38*s**2 - s - 5 What is the y'th term of -4, -12, -38, -88, -168, -284, -442, -648? -y**3 - 3*y**2 + 8*y - 8 What is the p'th term of -46, -169, -374, -661? -41*p**2 - 5 What is the d'th term of 113, 146, 169, 176, 161, 118, 41? -d**3 + d**2 + 37*d + 76 What is the n'th term of -10, -13, -14, -13, -10, -5, 2? n**2 - 6*n - 5 What is the r'th term of 883, 1767, 2651, 3535, 4419? 884*r - 1 What is the s'th term of -376, -407, -452, -517, -608, -731? -s**3 - s**2 - 21*s - 353 What is the h'th term of -104, -100, -12, 202, 584, 1176, 2020, 3158? 7*h**3 - 45*h - 66 What is the p'th term of -46, -289, -694, -1261, -1990, -2881, -3934? -81*p**2 + 35 What is the o'th term of -26, -6, 28, 76, 138, 214? 7*o**2 - o - 32 What is the h'th term of 14, 24, 56, 122, 234, 404? 2*h**3 - h**2 - h + 14 What is the i'th term of 483, 494, 513, 540, 575, 618, 669? 4*i**2 - i + 480 What is the t'th term of -30, 4, 38? 34*t - 64 What is the c'th term of -50, -77, -120, -179, -254? -8*c**2 - 3*c - 39 What is the c'th term of -184, -200, -228, -274, -344, -444? -c**3 - 9*c - 174 What is the l'th term of 1069, 2134, 3197, 4258, 5317, 6374, 7429? -l**2 + 1068*l + 2 What is the u'th term of 1250, 5002, 11256, 20012, 31270, 45030? 1251*u**2 - u What is the p'th term of 25, 62, 115, 178, 245? -p**3 + 14*p**2 + 2*p + 10 What is the f'th term of 30, 33, 46, 75, 126, 205, 318? f**3 - f**2 - f + 31 What is the m'th term of -30, -41, -40, -21, 22, 95, 204? m**3 - 18*m - 13 What is the i'th term of -62, -129, -196, -263? -67*i + 5 What is the y'th term of -2124, -2126, -2128, -2130, -2132? -2*y - 2122 What is the z'th term of -4, -19, -12, 29, 116, 261, 476? 2*z**3 - z**2 - 26*z + 21 What is the f'th term of 190, 94, -12, -134, -278? -f**3 + f**2 - 92*f + 282 What is the z'th term of 22, 44, 84, 148, 242, 372, 544, 764? z**3 + 3*z**2 + 6*z + 12 What is the l'th term of 8, 6, -4, -22, -48, -82? -4*l**2 + 10*l + 2 What is the i'th term of -272, -1093, -2462, -4379, -6844, -9857? -274*i**2 + i + 1 What is the p'th term of -166, -333, -500, -667, -834, -1001? -167*p + 1 What is the n'th term of 27, 10, -9, -24, -29, -18? n**3 - 7*n**2 - 3*n + 36 What is the f'th term of -7, 0, 41, 134, 297, 548, 905? 3*f**3 - f**2 - 11*f + 2 What is the n'th term of 34, 59, 122, 241, 434? 3*n**3 + n**2 + n + 29 What is the a'th term of -69, -101, -147, -207? -7*a**2 - 11*a - 51 What is the q'th term of 465, 494, 581, 756, 1049? 5*q**3 - q**2 - 3*q + 464 What is the w'th term of 229, 470, 701, 916, 1109, 1274, 1405, 1496? -w**3 + w**2 + 245*w - 16 What is the l'th term of -34, -60, -86? -26*l - 8 What is the q'th term of -716, -1432, -2148, -2864, -3580, -4296? -716*q What is the l'th term of 268, 529, 780, 1021? -5*l**2 + 276*l - 3 What is the g'th term of -20, -17, -14, -11, -8, -5? 3*g - 23 What is the k'th term of 417, 831, 1243, 1653, 2061? -k**2 + 417*k + 1 What is the l'th term of 117, 457, 1023, 1815? 113*l**2 + l + 3 What is the k'th term of -11411, -11412, -11413? -k - 11410 What is the n'th term of 1, 36, 95, 178, 285, 416? 12*n**2 - n - 10 What is the t'th term of 3624, 3620, 3614, 3606? -t**2 - t + 3626 What is the s'th term of -11,
{ "pile_set_name": "DM Mathematics" }
f picking 4 k? 1/1820 Two letters picked without replacement from {x: 2, s: 4}. Give prob of picking 2 x. 1/15 Four letters picked without replacement from {i: 4, j: 10, m: 3, y: 1}. Give prob of picking 1 y and 3 j. 2/51 Calculate prob of picking 2 z and 1 l when three letters picked without replacement from ztajctlctlczza. 3/182 What is prob of picking 1 v and 2 l when three letters picked without replacement from {l: 3, a: 1, v: 4}? 3/14 Three letters picked without replacement from {t: 2, d: 6}. Give prob of picking 3 d. 5/14 Four letters picked without replacement from {f: 1, e: 18}. What is prob of picking 4 e? 15/19 What is prob of picking 1 z, 1 e, and 1 r when three letters picked without replacement from rrrrrrdrzdgrrzerz? 3/68 What is prob of picking 3 c and 1 y when four letters picked without replacement from {p: 4, y: 1, c: 3}? 1/70 What is prob of picking 4 s when four letters picked without replacement from {j: 1, s: 4, n: 1, q: 2, t: 1}? 1/126 Calculate prob of picking 2 m and 1 e when three letters picked without replacement from {m: 3, e: 2}. 3/5 Two letters picked without replacement from {q: 1, b: 2, r: 2, y: 1, l: 1}. What is prob of picking 1 b and 1 l? 2/21 Calculate prob of picking 1 v, 1 i, and 1 m when three letters picked without replacement from {i: 6, m: 2, v: 8, c: 3}. 32/323 What is prob of picking 2 g when two letters picked without replacement from flgfw? 0 Two letters picked without replacement from {k: 3, d: 4}. What is prob of picking 1 k and 1 d? 4/7 Three letters picked without replacement from {u: 1, i: 1, h: 2, m: 2, t: 1}. What is prob of picking 2 h and 1 i? 1/35 Four letters picked without replacement from {x: 5, g: 8}. What is prob of picking 3 g and 1 x? 56/143 Calculate prob of picking 1 o and 1 z when two letters picked without replacement from ozoz. 2/3 What is prob of picking 3 m and 1 u when four letters picked without replacement from {f: 3, u: 4, b: 1, m: 5}? 8/143 What is prob of picking 2 u when two letters picked without replacement from uuqqqqqqddququqq? 1/20 Two letters picked without replacement from {t: 1, k: 2, i: 1, g: 1, d: 2}. Give prob of picking 1 k and 1 d. 4/21 Calculate prob of picking 1 m, 1 p, and 1 l when three letters picked without replacement from lllllllplmlll. 1/26 Calculate prob of picking 3 n when three letters picked without replacement from {x: 5, n: 5}. 1/12 Calculate prob of picking 1 f and 1 w when two letters picked without replacement from fwd. 1/3 Calculate prob of picking 3 w and 1 a when four letters picked without replacement from xxxaawdwkwjwjxx. 8/1365 Calculate prob of picking 3 z and 1 i when four letters picked without replacement from zzzziziiiizi. 8/33 Three letters picked without replacement from {c: 1, b: 7, w: 5}. Give prob of picking 1 c, 1 b, and 1 w. 35/286 What is prob of picking 3 y when three letters picked without replacement from {y: 3, a: 4}? 1/35 Calculate prob of picking 2 n, 1 l, and 1 g when four letters picked without replacement from gnnyblwwbbln. 2/165 Two letters picked without replacement from {e: 1, r: 2, s: 2, n: 1, g: 1}. Give prob of picking 1 s and 1 e. 2/21 What is prob of picking 1 x and 1 d when two letters picked without replacement from xhxgmgndh? 1/18 What is prob of picking 4 u when four letters picked without replacement from {x: 7, u: 1}? 0 Three letters picked without replacement from cyddpc. What is prob of picking 1 p and 2 c? 1/20 Three letters picked without replacement from iitpm. What is prob of picking 1 m and 2 i? 1/10 Calculate prob of picking 2 u and 1 e when three letters picked without replacement from {p: 1, g: 1, f: 2, e: 1, u: 2}. 1/35 Calculate prob of picking 1 p and 1 q when two letters picked without replacement from diripdrrdrdqni. 1/91 Two letters picked without replacement from {l: 1, j: 1, o: 3, e: 2, x: 13}. Give prob of picking 1 l and 1 j. 1/190 What is prob of picking 3 t and 1 k when four letters picked without replacement from {k: 6, t: 6}? 8/33 What is prob of picking 1 f, 2 i, and 1 h when four letters picked without replacement from ifxxfhifiixxifhih? 9/119 Four letters picked without replacement from {a: 2, k: 3, f: 3}. Give prob of picking 2 k and 2 a. 3/70 What is prob of picking 4 j when four letters picked without replacement from ttjtzgqzqjqtjjtzgzoz? 1/4845 Three letters picked without replacement from {p: 5, h: 2, m: 4, x: 7}. Give prob of picking 1 x and 2 m. 7/136 Two letters picked without replacement from iiiibiibuiu. What is prob of picking 1 i and 1 b? 14/55 Three letters picked without replacement from {j: 1, e: 4, c: 3, k: 1, b: 1, t: 5}. Give prob of picking 2 e and 1 t. 6/91 What is prob of picking 1 k and 1 g when two letters picked without replacement from hkkhhpggpgpgpggpgpp? 14/171 What is prob of picking 2 f when two letters picked without replacement from {f: 5, x: 13}? 10/153 Three letters picked without replacement from dlddgdpndppppgw. Give prob of picking 1 d, 1 p, and 1 l. 5/91 Two letters picked without replacement from {u: 1, h: 4, o: 1, f: 2, t: 1}. What is prob of picking 1 f and 1 o? 1/18 Three letters picked without replacement from ssqnjcjjjj. Give prob of picking 2 j and 1 n. 1/12 Four letters picked without replacement from jeewbgdjg. What is prob of picking 1 g, 1 w, 1 d, and 1 b? 1/63 Calculate prob of picking 1 j and 2 d when three letters picked without replacement from {q: 1, x: 1, n: 4, j: 2, d: 2}. 1/60 Calculate prob of picking 1 e and 1 f when two letters picked without replacement from fppphpfhphpue. 1/39 What is prob of picking 2 q when two letters picked without replacement from qqqqqqqqqqqqqdq? 13/15 What is prob of picking 4 k when four letters picked without replacement from kkppkpkkppkkkk? 18/143 What is prob of picking 1 q and 1 k when two letters picked without replacement from {p: 2, b: 7, c: 1, q: 3, k: 2, d: 3}? 2/51 What is prob of picking 1 s and 3 c when four letters picked without replacement from {s: 2, c: 5}? 4/7 Three letters picked without replacement from ppppppppppjpp. What is prob of picking 2 p and 1 j? 3/13 Three letters picked without replacement from qimqiihmmqmm. What is prob of picking 1 i, 1 q, and 1 h? 9/220 Four letters picked without replacement from ooofhwowwpfofo. What is prob of picking 2 w and 2 o? 45/1001 What is prob of picking 1 z and 1 v when two letters picked without replacement from ckzcckvkizazcvaza? 1/17 Two letters picked without replacement from nppaxppppnnpxpppnt. Give prob of picking 1 t and 1 a. 1/153 Three letters picked without replacement from ajjannuvnavnav. What is prob of picking 2 a and 1 j? 3/91 Three letters picked without replacement from qttcqqtc. Give prob of picking 1 t and 2 q. 9/56 Calculate prob of picking 1 y and 1 g when two letters picked without replacement from apappyageag. 2/55 Calculate prob of picking 1 x and 2 w when three letters picked without replacement from wwwxxxxr. 3/14 Three letters picked without replacement from gtgegegegehteet. What is prob of picking 2 g and 1 h? 2/91 Three letters picked without replacement from {t: 2, n: 8}. Give prob of picking 3 n. 7/15 What is prob of picking 1 n, 1 y, and 2 q when four letters picked without replacement from qqqqqyqyynqqqy? 144/1001 Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {r: 6, a: 7}. 7/13 Calculate prob of picking 1 k, 1 r, and 1 c when three letters picked without replacement from {r: 1, c: 4, k: 4, f: 5, b: 2}. 1/35 What is prob of picking 1 h and 1 p when two letters picked without replacement from {w: 8, o: 2, p: 4, h: 4, g: 1}? 16/171 Calculate prob of picking 1 v and 1 t when two letters picked without replacement from wrwtorvrrvvr. 1/22 Two letters picked without replacement from {z: 1, l: 7, f: 2, i: 2}. Give prob of picking 1 z and 1 i. 1/33 What is prob of picking 2 q when two letters picked without replacement from rqqapds? 1/21 What is prob of picking 2 h when two letters picked without replacement from hhc? 1/3 What is prob of picking 3 c when three letters picked without replacement from {u: 5, c: 13}? 143/408 Calculate prob of picking 1 x, 1 n, and 1 j when three letters picked without replacement from vnxxnxhjhjvvvx. 4/91 Four letters picked
{ "pile_set_name": "DM Mathematics" }
r(-3). Factor -g - 89/2*u + 7/2*u**2. (u - 13)*(7*u + 2)/2 Factor -1161*a**2 + 270 + 372*a**2 + 5*a**3 - 75*a + 370*a**2 + 379*a**2. 5*(a - 9)*(a - 2)*(a + 3) Let t be 0 - (-29 - 3) - -4. Let a be (t/(-7))/((-765)/210). Find c, given that -a*c + 6/17*c**5 - 64/17*c**2 - 42/17*c**3 + 4/17*c**4 + 0 = 0. -2, -1, -2/3, 0, 3 Let -12*x**5 + 56*x**4 - 93*x**4 - 124*x - 264*x**2 + 1 - 63*x**4 - 248*x**3 - 21 = 0. Calculate x. -5, -1, -1/3 Let x(k) be the third derivative of -1/630*k**7 + 10*k**2 + 0*k - 1/2016*k**8 + 1/90*k**5 + 0*k**3 + 1/240*k**6 - 5 - 1/36*k**4. Solve x(u) = 0 for u. -2, 0, 1 Let q = 7624 - 7621. Let -20/7*y**4 - 48/7*y**q + 0 + 20/7*y**2 + 50/7*y - 2/7*y**5 = 0. What is y? -5, -1, 0, 1 Let h(y) be the second derivative of -30 + 16/3*y**2 - y + 5/18*y**4 + 1/30*y**5 - 22/9*y**3. Determine k, given that h(k) = 0. -8, 1, 2 Let q(v) be the third derivative of -v**5/48 + 245*v**4/96 - 75*v**3 + 2*v**2 - 2330*v + 2. Factor q(n). -5*(n - 40)*(n - 9)/4 Let v(x) = 2*x**2 - 528*x - 1031. Let y(c) = 6*c**2 - 2112*c - 4127. Let w(t) = 11*v(t) - 3*y(t). Factor w(j). 4*(j + 2)*(j + 130) Factor 35*b - 415*b**2 - 26*b - 10*b**2 - 1923*b**2 - 175*b**2. -3*b*(841*b - 3) Let h(v) be the third derivative of -v**8/1680 + v**7/90 - v**6/15 - 23*v**4/12 - 2*v**2 - 15. Let u(p) be the second derivative of h(p). Factor u(k). -4*k*(k - 4)*(k - 3) Let t(m) be the third derivative of -m**6/24 - m**5/12 + 10*m**4/3 + 40*m**3/3 - 521*m**2. Factor t(z). -5*(z - 4)*(z + 1)*(z + 4) Suppose 30 + 55/4*k**2 - 5/2*k**3 + 185/4*k = 0. What is k? -3/2, -1, 8 Let o(i) be the first derivative of -2*i**6/15 + 1249*i**5/25 - 32832*i**4/5 + 4785586*i**3/15 - 7150466*i**2/5 + 3278181*i/5 - 3029. Let o(d) = 0. What is d? 1/4, 3, 103 Let p = 628 - 659. Let a = p + 33. Factor 2/19*j**a - 6/19*j + 0. 2*j*(j - 3)/19 Let f = -1980 + 2019. Suppose -3*y + f = 10*y. Suppose -2/5*o - 4/5*o**2 + 2/5*o**y + 4/5 = 0. What is o? -1, 1, 2 Let j be -1 + 2 - 2 - (3 + -46). Suppose 2*i - j = -8. Let -8*w**3 - w**4 + i*w**4 - 12*w**5 + 4*w**4 = 0. Calculate w. 0, 2/3, 1 Suppose -5*n + 140 = -0*n - 5*z, z + 156 = 5*n. Determine l, given that 2*l**5 + 4*l**3 - 6*l**4 + 16*l**4 - n*l**2 + 16*l**2 = 0. -4, -2, 0, 1 Let q(n) be the second derivative of 5*n**4/12 + 115*n**3/6 + 255*n**2 - 594*n. Determine r, given that q(r) = 0. -17, -6 Suppose 356*h - 361*h + 3*k = -10, -5*h = 4*k - 45. Solve 2/3*z**h - 4*z**4 - 10/3*z + 8/3*z**3 + 0 + 4*z**2 = 0. -1, 0, 1, 5 Let i be 6/60 + 5075/1750. Factor 0*z + 2/11*z**5 - 4/11*z**i - 2/11*z**4 + 0 + 0*z**2. 2*z**3*(z - 2)*(z + 1)/11 Let h(f) = -59*f**2 - 441*f - 14770. Let y(x) = 7*x**2 + 55*x + 1846. Let d(m) = -6*h(m) - 50*y(m). Let d(p) = 0. What is p? -20, 46 Let r(c) = -c**3 + 22*c**2 + 25*c - 34. Let l be r(23). Factor 8 + 18*s - 23*s**2 + 27*s**2 + 0*s**2 + l*s**3 + 6*s + 2*s**4 + 22*s**2. 2*(s + 1)**2*(s + 2)**2 Let z(u) be the third derivative of u**6/60 + 4*u**5/45 - 37*u**4/36 - 14*u**3/3 + u**2 + 838. Factor z(g). 2*(g - 3)*(g + 1)*(3*g + 14)/3 Let j be 1*122*1/(-18) + 7. Factor 0 - j*g**3 + 2/9*g**2 - 2/9*g**4 + 2/9*g. -2*g*(g - 1)*(g + 1)**2/9 Let o(b) be the third derivative of b**6/360 - 5*b**5/24 + b**4 + 46*b**3 + b**2 + 12*b. Let p(z) be the first derivative of o(z). Factor p(s). (s - 24)*(s - 1) Let d = -9 + 16. Let r be (27/(-30))/((-30)/200). Factor 10*w**2 - 6*w + d*w - r*w - 5*w**3. -5*w*(w - 1)**2 Let w(i) be the third derivative of 0 + 160*i**2 - 8/735*i**7 + 5/7*i**4 - 109/210*i**5 + 0*i - 3/7*i**3 + 9/70*i**6. Determine z so that w(z) = 0. 1/4, 1/2, 3 Suppose -9*u + 13*u - 3768 = 0. Let k = 945 - u. Factor 35/2*z - 25/2*z**2 - 15/2 + 5/2*z**k. 5*(z - 3)*(z - 1)**2/2 Let o(z) = -z**3 + 5*z**2 - 5*z + 6. Let d be o(4). Factor 5*r**3 + 10 + 24*r + r - 874*r**d + 894*r**2. 5*(r + 1)**2*(r + 2) Suppose -11*d = -1469 + 457. Factor 2 - 26 - 128*l**2 + 4*l**5 - 72*l**3 + 37*l**4 - 74*l**4 - d*l + 29*l**4. 4*(l - 6)*(l + 1)**4 Let n(p) be the third derivative of p**6/360 - 37*p**5/90 + 1369*p**4/72 - 3*p**2 - 1371. Factor n(x). x*(x - 37)**2/3 Let f be (-1)/(-7) - 1450/203. Let t(c) = 2*c**4 - 7*c**3 - 7*c**2 - 7. Let p(b) = -b**4 + 3*b**3 + 3*b**2 + 3. Let r(g) = f*p(g) - 3*t(g). Factor r(w). w**4 Let k be (-6)/(-8)*8/51. Let p = 109844 - 109842. Let -18/17*v**3 - 4/17*v**5 + 0 - 10/17*v**p - k*v - 14/17*v**4 = 0. Calculate v. -1, -1/2, 0 Suppose 0 = 8*h - 91 - 69. Suppose -7*o + h = 20. Suppose o + 1/4*b**2 - 1/4*b = 0. Calculate b. 0, 1 Solve -390 + 224*r - 45*r**3 + 275*r - 5*r**4 - 594*r + 255*r**2 = 0 for r. -13, -1, 2, 3 Let c(d) be the second derivative of 1/20*d**5 + 5*d**2 - 212*d - 5/6*d**4 + 0 - 1/6*d**3. Factor c(r). (r - 10)*(r - 1)*(r + 1) Let b be (-4 - 12/18)*373/(-2611). Factor 5/6*m**2 - 10/3 - b*m + 1/6*m**3. (m - 2)*(m + 2)*(m + 5)/6 Let g(k) = k**4 + k**3 + 6*k. Let w(l) = -8*l**4 + 22*l**3 + 505*l**2 - 1083*l + 540. Let t(o) = -3*g(o) - w(o). Factor t(s). 5*(s - 12)*(s - 1)**2*(s + 9) Let m(h) be the second derivative of 74*h + 1/2*h**4 - 2 - 7/20*h**5 + 0*h**3 - 1/10*h**6 + 0*h**2. Let m(i) = 0. What is i? -3, 0, 2/3 Let y(u) be the first derivative of u**7/4200 - u**6/1800 - 2*u**5/75 - u**4/6 - u**3/3 + 26*u - 23. Let k(b) be the third derivative of y(b). Factor k(i). (i - 5)*(i + 2)**2/5 Let l be 0/((-21)/28 - 20/16). Let d(a) be the second derivative of 0*a**5 + l - 1/7*a**2 + 0*a**3 - 15*a + 1/21*a**4 - 1/105*a**6. What is w in d(w) = 0? -1, 1 Suppose 4*k + 47 = 7. Let h(u) = u**3 - u**2. Suppose 9 = 2*o + 19. Let b(p) = -p**3 + 2*p**2 - 7*p - 6. Let a(g) = k*h(g) + o*b(g). Solve a(n) = 0 for n. -2, -1, 3 Let v be 4/(-5) + (-27621)/(-29295). Factor -v*x**2 - 24/7*x - 144/7. -(x + 12)**2/7 Suppose -2*m - 12 = -5*m + 4*b, 2*b = 3*m - 6. Let w be 1*(m + -4 - -6). Factor -2*d**3 + 267 - 267 + d**w + d**4. d**2*(d - 1)**2 Let c(r) be the first derivative of -r**5/12 - 55*r**4/6 + 33*r**2/2 - r - 297. Let m(g) be the second derivative of c(g). What is s in m(s) = 0? -44, 0 Let g(d) be the first derivative of 3*d**5/20 - 153*d**4/4 + 200*d**3 - 2235. Factor g(q). 3*q**2*(q - 200)*(q - 4)/4 Factor 170948870*v**2 - 27602*v**4 + 249793919*v - 927406*v**3 + 29271*v**4 + 172808693 + 94892720*v - v**5. -(v - 557)**3*(v + 1)**2 Let m(s) be the third derivative of s**8/110880 - s**7/27720 - s**6/660 + s**5/12 - s**2 - 40. Let h(l) be the third derivative of m(l). Factor h(a). 2*(a - 3)*(a + 2)/11 Let d = 66247/264964 + -3/132482. What is q in 0 + d*q**3 + 0*q**2 - 1/4*q = 0? -1, 0, 1 Factor 0 + 12/5*p**3 + 0*p - 22*p**2 + 2/5*p**4. 2*p**2*(p - 5)*(p + 11)/5 Let n(x) = 9 + 25*x**3 - 25*x**2 + 0 - 4 - 25*x. Let b(g) = -8*g**3 + 8*g**2 + 8*g - 2. Let d(o) = 10*b(o) + 3*n(o). Solve d(s) = 0 for s. -1, 1 Solve -6*f - 7*f**2 - 517*f**3 + 1018*f**3 + 24*f - 502*f**3 = 0 for f. -9, 0, 2 Let o(c) be the second derivative of 7*c**5/130 - 29*c**4/78 + 25*c**3/39 - 3*c**2/13 + 951*c + 1. Factor o(t). 2*(t - 3)*(t - 1)*(7*t - 1)/13 Suppose 26*n + 59*n - 46*n + 74*n + 72 + 35*n + 80*n**2 + 4*n**3 = 0. Calculate n. -18, -1 Factor 344/19*v - 80/19*v**2 - 2/19*v**3 - 352/19. -2*(v - 2)**2*(v + 44)/19 Let h(w) be the third derivative of -3*w**2 + 0*w - 2/3*w**3 + 4 + 11/36*w**4 + 5/9*w**5 + 2/45*w**6. Determine k, given that h(k) = 0. -6, -1/2, 1/4 Let z(o) be the second derivative of -o**7/126 - o**6/144 + 11*o**4/6 + o**3/3 + 15*o + 3. Let r(v) be the third derivative of z(v). Let r(n) = 0. Calculate n. -1/4, 0 Let x(f) = 5452*f - 65421. Let r be x(12). Determine q, given that -9/4*q**r + 27/2*q**2 + 1/4*q - 3/2 = 0. -1/3, 1/3, 6 Let -359*g**3 + 77*g**3 + 199*g**3 - 50*g**2 + 266*g + 81*g**3 + 9386 = 0. What is g? -19, 13 Let p = 507 - 505. Determine r, given that 28/3*r - 2/3*r**p + 10 = 0. -1, 15 Let n = 344/3 + -141. Let a = n - -404/15. Factor 1/5*d**3 + 1/5 + a*d**2 + 3/5*d. (d + 1)**3/5 Let x be ((-2)/(-20))/((-3)/(-32)). Let l = 16853/29265 + -83/1951. Factor l*k + 2/3*k**3 - x*k**2 + 0 - 2/15*k**4. -2*k*(k - 2)**2*(k - 1)/15 Let r = 40189 + -80363/2. Let -125/2*z - r*z**3 + 15 + 55*z**2 = 0. What is z? 1/3, 1, 6 Factor 162*t + 108 + 19/2*t**3 + 63*t**2 + 1/2*t**4. (t + 1)*(t + 6)**3/2 Suppose -1370*p = -3*k - 1367*p + 63, -3*k = 4*p + 56. Factor 368/17 - 58/17*g**3 - 568/17*g + 2/17*g**k + 300/17*g**2. 2*(g - 23)*(g - 2)**3/17 Let
{ "pile_set_name": "DM Mathematics" }
wrt a? -8730 Let o be (14/42)/(3/45) + 187. Differentiate -o - 1571*g - 1569*g + g**2 + 3140*g - 9*g**3 wrt g. -27*g**2 + 2*g Let o(q) = q**5 + q**3 - 4*q**2 - q + 1. Let d(f) = 1256*f**5 + f**3 + 3*f**2 - f + 10. Let w(n) = -d(n) + o(n). What is the third derivative of w(k) wrt k? -75300*k**2 Let d = -117 + 129. Let k(b) be the first derivative of d*b - 3 - b - 10*b + 20 + 10*b**3. Find the first derivative of k(q) wrt q. 60*q Let s(g) = -31*g**4 - 121*g**2 + 1314*g - 30. Let r(m) = -3*m**4 - m**2 + m - 3. Let v(l) = -10*r(l) + s(l). Find the second derivative of v(a) wrt a. -12*a**2 - 222 What is the first derivative of 6*g**4 + 126*g**2 + 129*g**2 + 129*g**2 - 380*g**2 + 14*g**3 + 5910 wrt g? 24*g**3 + 42*g**2 + 8*g Find the first derivative of 55*t**3 - 4*t**2 + 1000 + 198*t**3 + 791*t**3 + 4*t**2 wrt t. 3132*t**2 Let o(h) be the third derivative of h**9/126 + h**7/210 - 19*h**6/12 + h**5/60 - 2023*h**4/24 + 168*h**2. What is the third derivative of o(w) wrt w? 480*w**3 + 24*w - 1140 Let s(n) be the first derivative of -233/3*n**3 + 0*n - 41/2*n**6 + 94 + 0*n**4 + 0*n**2 + 0*n**5. Find the third derivative of s(i) wrt i. -7380*i**2 Let l(y) = -3*y + 32. Let b(w) be the first derivative of w**3/3 - 77. Let k(x) = b(x) + l(x). Differentiate k(o) with respect to o. 2*o - 3 Let s(m) = 61 + 10*m - 30 - 64 - 4*m**2. Let l(z) = -4*z**2 + 9*z - 31. Let p(b) = 4*l(b) - 3*s(b). What is the first derivative of p(i) wrt i? -8*i + 6 Find the second derivative of -578*n - 2923421*n**3 + 5468*n + 2920306*n**3 wrt n. -18690*n Let i(f) be the third derivative of 1/12*f**4 + f + 97*f**2 - 16/15*f**5 + 0 - 41/6*f**3. Differentiate i(n) wrt n. -128*n + 2 Suppose -x + 16 = -10*r + 5*r, -5 = -5*r. What is the third derivative of 486*z**6 - 487*z**6 + 12*z**4 - 6*z**4 + x - 2*z**2 wrt z? -120*z**3 + 144*z What is the second derivative of 72*n**2 - n + 7632 + 9613 - 15658 + 11*n**4 wrt n? 132*n**2 + 144 Suppose -g - 2*a = -4, -a + 9 = 2*g + 4*a. What is the first derivative of -7*v + 2*v**3 - 3*v**g - 103 - 10*v**2 + 13*v**2 wrt v? 6*v**2 - 7 Suppose 2*x - 82 = 2*h, 8*x - 6*x = -h + 76. Find the second derivative of -4 + 42*p**2 - 2*p**4 - 12*p - 1 + 4 - x*p**2 wrt p. -24*p**2 + 6 Let a(f) = 806*f + 1332. Let m(z) = -827*z - 1332. Let j(g) = -2*a(g) - 3*m(g). Differentiate j(s) wrt s. 869 Let b(y) be the third derivative of -233*y**6/20 + y**5/30 + 3*y**4/4 - 20*y**3/3 - 5556*y**2. Find the second derivative of b(p) wrt p. -8388*p + 4 Let r(g) be the first derivative of 677*g**4/4 - 32*g**3/3 - 4*g + 32. Find the third derivative of r(h) wrt h. 4062 Let x(a) = a + 8. Let b be x(-5). Suppose b*d - 12 = 0, -3*o - d - 3*d = -22. Find the second derivative of -p - 8*p - o*p**2 - 5*p**2 wrt p. -14 Let n = 286 - 284. What is the second derivative of m**2 + 25*m**n + 6*m + 15*m**2 + 1 + 1 wrt m? 82 Let m be ((-7)/5 + -1)/((-130)/325). Let g = 0 + m. Find the second derivative of 14 + 25*c + 17 - 31 + g*c**5 wrt c. 120*c**3 What is the derivative of 1169 + 408*b + 1486 + 4418*b + 3656*b + 633*b wrt b? 9115 Let b(m) be the second derivative of -m**5/20 + m**4/2 + 453*m**2/2 - 5*m + 149. What is the derivative of b(t) wrt t? -3*t**2 + 12*t Let n(h) be the third derivative of -17*h**8/336 - h**7/15 + 19*h**4/24 + 2*h**3 + 1283*h**2. Find the second derivative of n(b) wrt b. -340*b**3 - 168*b**2 Let w(c) = -54*c**3 + 5*c**2 + c - 130. Let p(k) = -109*k**3 + 11*k**2 + 2*k - 259. Let v(h) = 5*p(h) - 11*w(h). Find the second derivative of v(z) wrt z. 294*z Let w(r) = -1767*r + 3313. Let j(q) = -590*q + 1105. Let s(u) = -10*j(u) + 3*w(u). Differentiate s(a) with respect to a. 599 Suppose -8*a + 168 = -6*a. Suppose 9*s - a = 132. Find the second derivative of -21*k + 9*k - s*k**4 + 4*k**4 wrt k. -240*k**2 Let h(z) be the second derivative of -7*z**6/30 + 11*z**5/4 + 16*z**4/3 - 3*z**3/2 + 3077*z. Find the third derivative of h(s) wrt s. -168*s + 330 What is the derivative of -1574 + 149*x**4 - 17*x + 19*x + 113*x**4 + 30*x**4 wrt x? 1168*x**3 + 2 Suppose 14*g = 3*g + 231. What is the first derivative of 72 + 77 - g*j**3 - 180 - 17*j**3 wrt j? -114*j**2 Let f(g) = -138*g**2 - 15*g + 2747. Let l(v) = -2*v - 13. Let p(y) = f(y) - 4*l(y). What is the derivative of p(t) wrt t? -276*t - 7 Let a(i) = 504*i**2 - 6341*i + 3. Let l(b) = -1507*b**2 + 19041*b - 8. Let v(d) = -8*a(d) - 3*l(d). Find the second derivative of v(r) wrt r. 978 Let n = 9 - 7. Let k(r) = 589*r + n*r**2 + 4*r**2 - 589*r + 13. Let m(g) = -7*g**2 - 12. Let p(j) = -4*k(j) - 3*m(j). Differentiate p(a) wrt a. -6*a Let n(v) be the second derivative of 2017*v**3/6 + 594*v**2 + 1334*v. Find the first derivative of n(y) wrt y. 2017 Let k = 9 - -13. Let s be 203/14 - 1/(-2). Find the second derivative of -7*l - s*l + 41*l + k*l**2 wrt l. 44 Suppose 225 = 5*k + 80. What is the second derivative of -32*l**2 + 17*l**4 + 32*l**2 + k*l - 78*l wrt l? 204*l**2 Find the second derivative of 77 - 149130*w + 17 - 55*w**4 + 3*w**2 - w**5 + 149122*w + 19*w**4 wrt w. -20*w**3 - 432*w**2 + 6 Let b be 84*(-6)/48*-4. Let m = b + -40. Find the second derivative of 34*l - 73*l**m + 35*l**2 + 16*l wrt l. -76 Let c be ((-3 + 3)/4)/(5/(-15)*6). Let g(k) be the third derivative of 0 + 0*k**4 + c*k + 0*k**5 + 1/60*k**6 - 16*k**2 + 5/6*k**3. Differentiate g(i) wrt i. 6*i**2 Let l(r) be the second derivative of -3*r**7/2 - 83*r**3/2 - 475*r. What is the second derivative of l(t) wrt t? -1260*t**3 Let p = -21263 + 21266. Let y(t) be the first derivative of 0*t - t**p - 25 + 1/2*t**2. What is the second derivative of y(q) wrt q? -6 Suppose 21 = -t + 43. Find the third derivative of -t*w**4 + 14 + 4*w**2 + 0*w**2 + 10*w**4 wrt w. -288*w What is the second derivative of -366 - 2729*m**2 + 17*m + 238 + 252 - 14*m wrt m? -5458 Let l(g) = -340*g - 726. Let j(s) = -679*s - 1444. Let d(n) = 3*j(n) - 5*l(n). What is the derivative of d(x) wrt x? -337 Let w(x) be the first derivative of 361*x**7/7 + x**6/6 + x**4/4 - 655*x**3/3 - x**2 - 2101. Find the third derivative of w(l) wrt l. 43320*l**3 + 60*l**2 + 6 Let p(z) = 4*z**2 + 28*z - 1604. Let u(r) = r**2 + 14*r - 803. Let k(m) = 3*p(m) - 5*u(m). Find the first derivative of k(o) wrt o. 14*o + 14 Let q(z) be the second derivative of -95/2*z**2 - 5/3*z**3 + 0*z**4 + 57*z + 0*z**5 + 7/30*z**6 + 0. What is the derivative of q(c) wrt c? 28*c**3 - 10 Let c(u) be the first derivative of 390*u**5 - 2854*u**3/3 + 360. Find the third derivative of c(f) wrt f. 46800*f Let r = 1391 + -662. Suppose 0 = 4*n + 269 - r. Find the second derivative of -j**2 - 114*j - 19*j**3 + j**2 + n*j wrt j. -114*j Let k(y) be the third derivative of -557*y**6/40 - y**5/60 - 2341*y**4/24 - 3908*y**2. What is the second derivative of k(p) wrt p? -10026*p - 2 Let g(j) be the first derivative of -123*j**2 + 29*j - j - 25 + 154*j**2. What is the first derivative of g(y) wrt y? 62 Let m(s) be the first derivative of -677*s**3/3 - 1175*s**2 + 1717. What is the second derivative of m(t) wrt t? -1354 Let z(c) = -c**2 - 6*c. Let p be z(-2). Differentiate -52*o**3 - 2 + p + 64 + 17 wrt o. -156*o**2 What is the third derivative of -1593*m**5 + 884*m**5 - 308*m**5 - 273*m**2 wrt m? -61020*m**2 Let u be (48/14)/((-7)/(-49)). Let d be ((-12)/u)/(1/(-24)). What is the second derivative of -d*f**2 - 14*f - 1 + 1 + 12*f wrt f? -24 Differentiate 5*a**2 - 361 + a**2 - 3012*a**4 + 3045*a**4 + 2*a**2 + 2559 with respect to a. 132*a**3 + 16*a Suppose 5*p - 1421 = -3*u, -5*u = 3*p - 8*p - 2355. Find the second derivative of u*q + 13*q**2 - 427*q - 1 - 9*q**2 - 39*q**2 wrt q. -70 Let o(y) be the first derivative of -5*y**9/252 - y**5/30 + 44*y**3 - 43. Let n(m) be the third derivative of o(m). Find the second derivative of n(c) wrt c. -1200*c**3 Differentiate -5509 + 23 + 11599*s**2 + 10397 + 6717 wrt s. 23198*s Let a = 9 + -7. Let t(o) = o**2 - 18*o + 71. Let g be t(13). What is the third derivative of g*m**6 + 23*m**a + 2*m**2 - m**6 - m**6 wrt m? 480*m**3 Suppose -x - 7*n - 8 = -9*n, -16 = -4*n. Differentiate x - 4*a + 63*a - 18 + 0 wrt a. 59 Let o = -967 + 967. Let y(v) be the third derivative of 0 + 0*v - 1/6*v**6 + 16*v**2 + o*v**5 + 0*v**3 - 13/24*v**4. Find the second derivative of y(w) wrt w. -120*w Let a(r) = 13*r + 29. Suppose 58 = -x + 3*x. Let d(c
{ "pile_set_name": "DM Mathematics" }
rivative of -g**6/50 - 21*g**5/100 - 3*g**4/10 - 21*g - 6. Suppose x(k) = 0. Calculate k. -6, -1, 0 Let f be (-3 - 28/(-8))*-4*-2. Let r(y) be the second derivative of 0 + 0*y**2 + 5/147*y**7 + 5*y + 0*y**3 + 8/105*y**6 - 1/21*y**f + 1/70*y**5. Factor r(o). 2*o**2*(o + 1)**2*(5*o - 2)/7 Let t(j) be the second derivative of 24*j - 25/12*j**3 - 1/3*j**6 + 5/2*j**2 + 1/2*j**5 + 5/84*j**7 + 5/12*j**4 + 0. Factor t(w). 5*(w - 2)*(w - 1)**3*(w + 1)/2 Suppose -26 = 25*b - 126. Let k(r) be the second derivative of 0 + 1/6*r**b + 2/3*r**3 - 1/10*r**5 + 0*r**2 + r. Factor k(i). -2*i*(i - 2)*(i + 1) Let k(m) = 3*m. Let y(f) = -4*f**2 + 8*f - 160. Let s(b) = 20*k(b) - y(b). Find v, given that s(v) = 0. -8, -5 Let c = 128/345 - -2/69. Suppose -3*i = -581 + 575. Suppose 0 - 2/5*l - c*l**5 - 12/5*l**3 + 8/5*l**i + 8/5*l**4 = 0. Calculate l. 0, 1 Let 45*c**4 - 134*c**3 + 230*c**2 + 45 - 165*c - 15*c**5 + 5*c**3 + 10*c**5 - 21*c**3 = 0. Calculate c. 1, 3 Let t(l) be the second derivative of l**5/190 + 2*l**4/19 + 11*l**3/57 + 146*l + 1. Find y such that t(y) = 0. -11, -1, 0 Let o(w) be the first derivative of w**3/30 + 6*w**2 + 360*w + 142. Factor o(b). (b + 60)**2/10 Suppose 0 = -93*u + 1128 - 942. Find p such that 2/3 + 0*p**4 - 2/3*p**u + 8/3*p**5 + 2*p - 14/3*p**3 = 0. -1, -1/2, 1 Suppose 0 = -3*g + 51 - 9. Let l be (-36)/((-18)/2) - 52/g. Solve 0 + 0*i - 2/7*i**4 + 4/7*i**3 - l*i**2 = 0. 0, 1 Let z be -1*(4 - 3) - 59. Let w be (z/(-50))/((-6)/(-100)). Determine c so that -2 + 4*c**5 + 0*c**5 - 9*c**5 - 10*c**4 + 3*c**5 - 20*c**3 - 10*c - w*c**2 = 0. -1 Let r be (-50)/(-4)*(-28)/35. Let q be ((-18)/r)/(10/50). What is w in 3*w + 3*w - q*w**2 - w + 11*w**2 + 2 = 0? -2, -1/2 Find i such that -6 + 3/8*i**2 + 3/8*i**3 - 6*i = 0. -4, -1, 4 Let v(s) be the second derivative of -s**4/15 + 5*s**3/3 - 12*s**2/5 - 41*s. Suppose v(l) = 0. What is l? 1/2, 12 Suppose 0*j = 3*j - 117. Solve -27*a**2 + 4*a**3 - 8 + 2*a**4 + 0*a**4 - 4*a + j*a**2 - 6*a**4 = 0 for a. -1, 1, 2 Let w(z) be the third derivative of -z**5/45 - 28*z**4/9 + 40*z**2. Find a such that w(a) = 0. -56, 0 Suppose 2*l - 24 = -4*l. What is z in 21*z**2 + 3 - l - 1 + 8 - 27*z = 0? 2/7, 1 Let t(j) = 10*j**2 + 60*j - 120. Let l(a) = -a**2 - 2*a. Let g(n) = 5*l(n) + t(n). Factor g(q). 5*(q - 2)*(q + 12) Let a(m) = m**3 - 68*m**2 + 125*m + 464. Let u be a(66). Factor -5/4*h**u + 0*h - 5/4*h**3 + 0. -5*h**2*(h + 1)/4 Let q = -22/637 - -16672/3185. Find f, given that 0 - q*f**3 + 42/5*f**4 - 24/5*f**2 + 8/5*f = 0. -2/3, 0, 2/7, 1 Factor 5/4*w + 1/2*w**2 - 1/4*w**5 - w**4 - w**3 + 1/2. -(w - 1)*(w + 1)**3*(w + 2)/4 Suppose w - 4 + 21 = 2*b, 0 = -b - w + 4. Let g(p) = -16*p**2 + 16*p + 7. Let o(q) = 5*q**2 - 5*q - 2. Let r(s) = b*o(s) + 2*g(s). Factor r(j). 3*j*(j - 1) Let r be ((-8)/(-91))/(241/6748). Factor r - 48/13*v - 2/13*v**3 + 18/13*v**2. -2*(v - 4)**2*(v - 1)/13 Suppose 6 = -3*o - 3*u, u + 14 = 4*o + o. Let l(i) be the first derivative of -1/5*i**5 + 3/4*i**4 + 1/2*i**o - i**3 - 6 + 0*i. Determine n so that l(n) = 0. 0, 1 Let x(k) be the second derivative of -k**6/90 + k**5/12 + k**4/36 - 17*k**3/18 - 2*k**2 - 2*k - 55. What is c in x(c) = 0? -1, 3, 4 Solve -568/9*t**3 - 64/9 - 416/9*t - 164/9*t**4 - 772/9*t**2 - 16/9*t**5 = 0. -4, -1, -1/4 Let r(c) = c**2 + 2*c - 33. Let n be r(5). Suppose 0 + 4*v - 2/3*v**2 - n*v**4 - 20/3*v**3 = 0. What is v? -3, -1, 0, 2/3 Let v be (-20)/32*(15 - 17) + (-3)/(-4). Factor -2/3*r + 2/3*r**4 + 2/3*r**3 - 2/3*r**v + 0. 2*r*(r - 1)*(r + 1)**2/3 Suppose 3*z - 3 = 3. Suppose 3*p - 3 = z*p. Factor 0 + 2/3*k**2 - 2/3*k**p + 0*k. -2*k**2*(k - 1)/3 Let k be -3 + -7*(20/(-5) + 3). Let z(c) be the second derivative of -16/3*c**3 + 2*c**2 + k*c + 0 - 49/20*c**5 + 77/12*c**4. Factor z(w). -(w - 1)*(7*w - 2)**2 Let a(c) be the first derivative of c**6/120 - 11*c**5/240 + c**4/12 - c**3/18 - 12*c - 19. Let s(n) be the first derivative of a(n). Let s(b) = 0. What is b? 0, 2/3, 1, 2 Let b(u) be the second derivative of 2*u**5/15 - 11*u**4/18 + 2*u**3/3 - 329*u. Suppose b(m) = 0. What is m? 0, 3/4, 2 Let f = -14 - -14. Suppose f*m = 3*m - 78. Solve 28*q**3 - q**5 - m*q**3 - 5*q**5 + 4*q**5 = 0. -1, 0, 1 Let u(o) be the first derivative of o**4/3 - 4*o**3/3 - 5*o**2/2 - 4*o/3 + 453. Solve u(j) = 0. -1/2, 4 Let 4*q**5 + 115*q**3 - 114*q**2 - 9*q**4 - 259*q**3 - 81*q - 21 - q**5 + 78*q**3 = 0. Calculate q. -1, 7 Suppose -18*z + 1123 = -911. Suppose -115 = -n - z. Suppose -8/3*f - 2 - 2/3*f**n = 0. Calculate f. -3, -1 Suppose -2*k = 2*v - 10, 4*v = -5*k + v + 23. Let l(t) be the third derivative of 0 - 2/15*t**3 + 0*t**5 + 10*t**2 + 1/300*t**6 + 0*t - 1/20*t**k. Factor l(j). 2*(j - 2)*(j + 1)**2/5 Let v(n) = -n**2. Let r(x) = -x**2. Let b(a) = -2*a**2 - 8*a. Let l(y) = b(y) + 4*r(y). Let d(w) = -l(w) + 2*v(w). Suppose d(h) = 0. What is h? -2, 0 Let k(i) be the third derivative of -i**5/420 - i**4/168 + i**3/7 - 144*i**2. Factor k(m). -(m - 2)*(m + 3)/7 Suppose 117*y - 100 = 92*y. Factor -4/3*c**2 - c + c**3 + 1/6 + 7/6*c**y. (c - 1)*(c + 1)**2*(7*c - 1)/6 Let j(g) = 2*g**2 + 4*g - 2. Suppose 0 = -2*x - 4 - 0. Let b(h) = 1 - 4 - 4*h**2 + 4*h**2 + h**2 + 4*h. Let a(d) = x*b(d) + 3*j(d). Factor a(l). 4*l*(l + 1) Find z, given that 9/4*z**3 + 0*z + 0 + 3/2*z**2 + 3/4*z**4 = 0. -2, -1, 0 Let i(g) = -g**2 - 11*g + 14. Let o be i(-12). Factor 8*a**o - 40*a**2 + 13*a**2 + 16*a**2. -3*a**2 Let r(w) be the third derivative of -w**11/332640 + w**10/75600 - w**9/60480 + w**5/15 + 6*w**2. Let u(k) be the third derivative of r(k). Factor u(t). -t**3*(t - 1)**2 Let r(u) = -u**2 + 10*u + 10. Let h be r(10). Let a be 3/((-60)/(-8))*h. Factor -12*t**4 - t**4 + 27*t**3 - 6*t**2 - 8*t**a. -3*t**2*(t - 1)*(7*t - 2) Factor -4*a**2 + 4*a**2 + 0*a**2 - 12*a**2 + 0*a**2 + 81*a. -3*a*(4*a - 27) Let k(l) be the first derivative of 2*l**5/95 + 5*l**4/38 - 40. Factor k(w). 2*w**3*(w + 5)/19 Suppose d = -2*u - 4*d + 11, 5*u + 3*d - 18 = 0. Let g(q) be the first derivative of -2/15*q**u + 1/5*q**2 + 0*q + 6 + 2/25*q**5 - 1/10*q**4. Factor g(k). 2*k*(k - 1)**2*(k + 1)/5 Suppose 3*l + 4 = 5*l. Find g such that 243*g + 42 + 39 + 33*g**4 - 4*g**5 + 138*g**3 + 270*g**2 + l*g**5 + 5*g**5 = 0. -3, -1 Let s(h) = 65*h**3 + 74*h**2 + 9*h + 1. Let u(p) = -p**2 - p + 1. Suppose 6*k + 5 = -1. Let a(g) = k*u(g) + s(g). Let a(l) = 0. Calculate l. -1, -2/13, 0 Let w(a) = -15*a**3 - 113*a**2 - 240*a - 156. Let q(c) = -5*c**3 - 38*c**2 - 80*c - 51. Let v(j) = -8*q(j) + 3*w(j). Solve v(o) = 0 for o. -3, -2 Solve 3/2*m**2 + 18*m - 39/2 = 0 for m. -13, 1 Find n, given that -46*n - 5*n**2 + 26*n + 96 + n**2 = 0. -8, 3 Let k(i) = -16*i**2 + 244*i - 154. Let u(p) be the third derivative of -p**5/20 + 49*p**4/24 - 31*p**3/6 + 26*p**2. Let w(n) = 6*k(n) - 28*u(n). Factor w(d). -4*(d - 7)*(3*d - 2) Factor -1/2*d + 0 - 1/6*d**2. -d*(d + 3)/6 Factor 1/10*y**4 + 1/2*y**2 + 0 + 0*y + 3/5*y**3. y**2*(y + 1)*(y + 5)/10 Let c(m) = -2*m**3 + 9*m**2 + 20*m - 10. Let g be c(6). Let a be (0 + 1)*(-1)/(-2). What is x in a*x + x**g - 1 - 1/2*x**3 = 0? -1, 1, 2 Let p be -6*((-22)/(-54))/(-11). Solve 0*t**2 - 4/9 + p*t**3 - 2/3*t = 0. -1, 2 Let m(o) be the second derivative of 2*o**7/21 - 4*o**5/5 + 2*o**4/3 + 2*o**3 - 4*o**2 - o + 235. Factor m(x). 4*(x - 1)**3*(x + 1)*(x + 2) Factor -5/2*l**4 - 2430*l - 70*l**3 - 675*l**2 - 3645/2. -5*(l + 1)*(l + 9)**3/2 Let z = -143/435 + 133/87. Find i such that -6/5*i**4 + 0 + 11/5*i**3 + 1/5*i**5 - z*i**2 + 0*i = 0. 0, 1, 2, 3 Factor 0*q + 16/7*q**3 + 24/7*q**2 + 0 + 2/7*q**4. 2*q**2*(q + 2)*(q + 6)/7 Let c(i) be the first derivative of 32 + 2/21*i**3 + 0*i - 1/7*i**2. Factor c(y). 2*y*(y - 1)/7 Let f(a) = a**3 + 7*a**2 - 7*a + 13. Let h be f(-8). Suppose 4*c = -12, -5*r + 7 - 2 = h*c. Let 9/8*q**r + 0 - 3/2*q**3 + 1/4*q + 1/8*q**2 = 0. Calculate q. -1/3, 0, 2/3, 1 Determine z so that -3/2*z**5 + 30*z**2 + 24*z + 0 - 15/2*z**4 + 0*z**3 = 0. -4, -2, -1, 0, 2 Let f be (10/9)/(-2)*1880/(-175). Let x = -46/9 + f. Factor x*b + 4/7 + 2/7*b**2. 2*(b + 1)*(b + 2)/7 Let f = 67 - 64. Solve 41*j**3 - 88*j**f + 51*j + 49*j**3 + 45*j + 128 + 24*j**2 = 0. -4 Let q(i) be the third derivative of i**8/110880 - i**7/6930 - i**5/15 - i**4/6 - i**2 - 9*i. Let m(n) be the third derivative of q(n). Factor m(c). 2*c*(c - 4)/11 Let y = 6 - 4
{ "pile_set_name": "DM Mathematics" }
. 15 Calculate the greatest common factor of 92 and 356. 4 What is the greatest common factor of 99 and 585? 9 Calculate the highest common factor of 135 and 5. 5 What is the highest common factor of 981 and 218? 109 Calculate the highest common factor of 24 and 1308. 12 What is the highest common factor of 35477 and 13? 13 What is the highest common factor of 655 and 131? 131 Calculate the highest common divisor of 7682 and 46. 46 What is the greatest common factor of 338 and 130? 26 Calculate the highest common factor of 29 and 145. 29 Calculate the greatest common divisor of 77 and 77. 77 What is the highest common divisor of 90 and 36? 18 Calculate the highest common factor of 22 and 198. 22 Calculate the greatest common factor of 10219 and 33. 11 Calculate the highest common divisor of 18 and 1440. 18 Calculate the highest common divisor of 1068 and 623. 89 What is the highest common factor of 252 and 140? 28 What is the greatest common divisor of 18333 and 378? 189 What is the highest common divisor of 94 and 423? 47 What is the greatest common divisor of 192 and 320? 64 Calculate the highest common divisor of 1918 and 42. 14 What is the greatest common divisor of 11 and 44? 11 Calculate the greatest common factor of 46 and 3358. 46 What is the greatest common factor of 40 and 8430? 10 Calculate the greatest common divisor of 12 and 39. 3 What is the greatest common divisor of 1866 and 6? 6 Calculate the greatest common factor of 17221 and 34. 17 What is the greatest common divisor of 5146 and 248? 62 What is the highest common factor of 12 and 1212? 12 What is the highest common factor of 138 and 174? 6 Calculate the highest common divisor of 274 and 3014. 274 Calculate the greatest common divisor of 192 and 312. 24 What is the highest common factor of 1798 and 186? 62 What is the highest common divisor of 50 and 7850? 50 What is the greatest common factor of 560 and 35? 35 What is the greatest common divisor of 35 and 3115? 35 Calculate the highest common factor of 154 and 1309. 77 What is the greatest common divisor of 846 and 188? 94 Calculate the greatest common divisor of 230 and 161. 23 Calculate the highest common factor of 20 and 5. 5 Calculate the highest common divisor of 636 and 477. 159 Calculate the highest common factor of 231 and 287. 7 Calculate the highest common divisor of 108 and 2484. 108 What is the greatest common factor of 268 and 4? 4 Calculate the greatest common divisor of 61 and 16. 1 Calculate the highest common divisor of 224 and 8232. 56 What is the greatest common divisor of 20 and 32? 4 Calculate the highest common factor of 6213 and 545. 109 Calculate the highest common factor of 1886 and 736. 46 What is the greatest common divisor of 20 and 5020? 20 Calculate the greatest common divisor of 458 and 1145. 229 What is the highest common divisor of 99 and 19767? 33 What is the greatest common divisor of 2016 and 90? 18 What is the highest common factor of 132 and 220? 44 Calculate the highest common divisor of 178 and 53. 1 What is the greatest common factor of 515 and 515? 515 Calculate the highest common factor of 868 and 28. 28 Calculate the greatest common factor of 96 and 18. 6 What is the greatest common factor of 24 and 1812? 12 What is the highest common factor of 1 and 16? 1 What is the greatest common divisor of 122 and 366? 122 What is the highest common factor of 1056 and 128? 32 What is the highest common divisor of 925 and 111? 37 Calculate the greatest common divisor of 10 and 1. 1 What is the greatest common divisor of 1944 and 36? 36 Calculate the highest common divisor of 15 and 2560. 5 Calculate the highest common factor of 59 and 10679. 59 Calculate the highest common divisor of 26 and 14443. 13 What is the highest common divisor of 60 and 48? 12 What is the highest common factor of 10 and 670? 10 Calculate the highest common factor of 50 and 18. 2 Calculate the highest common factor of 20 and 590. 10 Calculate the greatest common factor of 206 and 2. 2 Calculate the greatest common factor of 120 and 1980. 60 What is the greatest common factor of 1159 and 244? 61 What is the greatest common factor of 1107 and 41? 41 What is the greatest common divisor of 484 and 11? 11 What is the greatest common factor of 41 and 779? 41 Calculate the greatest common factor of 48 and 102. 6 What is the highest common divisor of 6 and 3? 3 What is the highest common factor of 294 and 6076? 98 Calculate the greatest common factor of 28701 and 27. 27 What is the highest common divisor of 4 and 46? 2 Calculate the highest common factor of 45 and 225. 45 Calculate the highest common divisor of 72 and 7. 1 Calculate the highest common factor of 922 and 1. 1 Calculate the highest common divisor of 3658 and 186. 62 What is the greatest common divisor of 558 and 18? 18 What is the highest common divisor of 6017 and 11? 11 What is the highest common factor of 598 and 13? 13 What is the highest common factor of 190 and 1786? 38 What is the greatest common factor of 95 and 1121? 19 Calculate the highest common divisor of 128 and 4832. 32 What is the greatest common divisor of 31 and 31? 31 What is the highest common divisor of 11 and 319? 11 Calculate the greatest common factor of 374 and 544. 34 What is the highest common divisor of 928 and 290? 58 Calculate the greatest common divisor of 264 and 119856. 264 Calculate the highest common divisor of 35333 and 89. 89 Calculate the greatest common factor of 11 and 40667. 11 Calculate the highest common factor of 42 and 12754. 14 Calculate the highest common divisor of 280 and 1288. 56 What is the highest common factor of 2329 and 187? 17 Calculate the highest common divisor of 1612 and 868. 124 Calculate the greatest common divisor of 384 and 12. 12 What is the greatest common factor of 44 and 836? 44 What is the highest common factor of 3055 and 65? 65 What is the greatest common factor of 180 and 288? 36 What is the highest common factor of 54 and 1143? 9 What is the greatest common divisor of 337 and 1? 1 What is the highest common factor of 32342 and 412? 206 Calculate the highest common divisor of 222 and 72. 6 What is the highest common factor of 869 and 33? 11 Calculate the greatest common factor of 189 and 21. 21 Calculate the highest common factor of 450 and 18. 18 What is the highest common factor of 513 and 285? 57 Calculate the highest common divisor of 63 and 7. 7 Calculate the greatest common factor of 276 and 156. 12 Calculate the greatest common divisor of 41 and 6109. 41 Calculate the greatest common factor of 575 and 184. 23 What is the highest common divisor of 4 and 25? 1 What is the highest common factor of 716 and 8? 4 Calculate the greatest common factor of 2548 and 78. 26 Calculate the highest common factor of 623 and 445. 89 What is the highest common factor of 240 and 372? 12 What is the greatest common factor of 77 and 143? 11 What is the highest common factor of 20 and 1280? 20 What is the highest common factor of 615 and 15? 15 Calculate the greatest common factor of 18 and 846. 18 Calculate the greatest common factor of 38777 and 17. 17 What is the greatest common factor of 608 and 48? 16 Calculate the highest common factor of 4031 and 29. 29 What is the greatest common factor of 76 and 4142? 38 Calculate the highest common factor of 24 and 5892. 12 Calculate the highest common factor of 175 and 56. 7 Calculate the greatest common divisor of 217 and 7781. 31 What is the greatest common factor of 2960 and 1924? 148 Calculate the greatest common factor of 28 and 3122. 14 Calculate the highest common divisor of 14 and 1239. 7 What is the greatest common factor of 2765 and 105? 35 What is the highest common factor of 5679 and 144? 9 Calculate the highest common divisor of 40 and 2440. 40 What is the greatest common divisor of 234 and 18? 18 Calculate the highest common divisor of 8410 and 10. 10 What is the greatest common factor of 88 and 66? 22 Calculate the highest common factor of 26791 and 367. 367 Calculate the highest common factor of 1855 and 14. 7 Calculate the highest common divisor of 2065 and 1239. 413 Calculate the greatest common factor of 704 and 224. 32 What is the greatest common factor of 276 and 36? 12 Calculate the hig
{ "pile_set_name": "DM Mathematics" }
.06, -0.6, -3? -2 Which is the second smallest value? (a) -6 (b) -6/5 (c) -4 (d) 4 (e) 3 c What is the smallest value in 0, -303, -3/13? -303 Which is the third smallest value? (a) -1.6 (b) 4 (c) -4/5 b Which is the biggest value? (a) 3/7 (b) 0.4 (c) -0.056 a What is the fifth smallest value in 0.4, -3/466, -4, -0.2, -0.4? 0.4 Which is the second biggest value? (a) -10 (b) -2/23 (c) -1/6 (d) 17 (e) 4 e What is the second smallest value in -4/9, 0.6, -5/7, -1? -5/7 What is the third smallest value in 2, -1/9, 0.4, 5/6, -0.3? 0.4 What is the second smallest value in 2/39, 4, 0.5, 1? 0.5 What is the biggest value in 3, 1, 0, 4/3, 4? 4 What is the second biggest value in 1, 2/565, -2, -5? 2/565 What is the third smallest value in -0.4, -15, 8/7? 8/7 What is the smallest value in 7, 10, -0.2? -0.2 Which is the smallest value? (a) 0.1 (b) 29 (c) -0.22 c What is the fifth smallest value in -3/4, -1, -0.2, 266, -26? 266 Which is the fifth smallest value? (a) 2/5 (b) 1/5 (c) 46 (d) -2 (e) -4 c What is the smallest value in 18/19, 0, 0.037? 0 Which is the smallest value? (a) 0 (b) -1 (c) -3/2 (d) -30 d What is the third biggest value in -15, -2/17, -4, 0.5? -4 What is the biggest value in 11, -4/3, 5/4, 1/10, -2? 11 What is the smallest value in 1, 36, 3, 0.2, 2/7? 0.2 What is the biggest value in -5, -2, -1/9, -3? -1/9 What is the smallest value in 0, 2, 4? 0 Which is the second smallest value? (a) -2/27 (b) 8 (c) 0.03 c What is the biggest value in 3, -0.2, -971, -0.4? 3 What is the third smallest value in -178, 0.1, 2/3? 2/3 What is the third smallest value in -1121, -2/11, 5, 2? 2 What is the fifth biggest value in 0.4, -5, -2, -0.1, -1/5? -5 What is the biggest value in 0.5, 5/6, 1, -5, -0.2? 1 What is the fourth smallest value in 0.09, 3, 2/11, -3/11? 3 Which is the biggest value? (a) -1/2 (b) 0.4 (c) 32 c Which is the third biggest value? (a) -2/5 (b) -1 (c) -0.28 b What is the fifth biggest value in 0.4, -0.2, 4, -2/5, -7? -7 What is the fourth smallest value in 3, -1/8, 1/39, 0.11? 3 Which is the fifth smallest value? (a) 2 (b) -0.4 (c) -2 (d) 68 (e) 3 d Which is the fourth smallest value? (a) -4 (b) -0.1 (c) -0.3 (d) 3 (e) 0.02 e Which is the third biggest value? (a) -2 (b) 5 (c) -32/63 (d) -0.4 c Which is the second biggest value? (a) 0.3 (b) -5/2 (c) -1 (d) -0.161 (e) 2/13 e What is the biggest value in -0.1, 47, -3? 47 What is the third biggest value in -5, -0.37, 0.09? -5 What is the smallest value in -3, 3.45, 2? -3 Which is the second biggest value? (a) -0.2 (b) -4 (c) -1.3 c Which is the second smallest value? (a) 0.5 (b) 1 (c) 3 (d) 2 b Which is the second smallest value? (a) -3 (b) 1/8 (c) -0.4 (d) -128 a Which is the smallest value? (a) 2/11 (b) -0.27 (c) 0.06 b What is the smallest value in -24, -0.2, -0.5? -24 Which is the biggest value? (a) -2 (b) -1/5 (c) -6 b Which is the third biggest value? (a) -9/2 (b) -0.5 (c) -26 c Which is the third biggest value? (a) 0.4 (b) 0.1 (c) -38 (d) 4 (e) -2 b What is the second smallest value in 118, -5, 1? 1 Which is the fifth biggest value? (a) -5 (b) 6 (c) -3 (d) 2/5 (e) -2/5 a What is the third smallest value in 42, 0.06, -2, 0? 0.06 What is the fourth biggest value in 63, 2/15, 0.4, -5? -5 What is the second smallest value in -2667, -1/5, 3/5, 0.4? -1/5 What is the second biggest value in 4, 7, -2, 51, 0.1? 7 What is the smallest value in -1, -836, -0.5, 0.2, -5? -836 What is the smallest value in 1/459, 4, 2/11? 1/459 Which is the biggest value? (a) 2 (b) 10 (c) 0.2 b What is the second biggest value in 4/3, -5, 41, -7? 4/3 What is the smallest value in 3, -0.24, 0, 62? -0.24 Which is the fourth smallest value? (a) -3/8 (b) 2/5 (c) -2/15 (d) 0 b Which is the second smallest value? (a) 1/4 (b) 13 (c) -25/3 (d) -4 (e) -1/2 d What is the fourth smallest value in 2/7, 1.04, -1/3, 2? 2 What is the third biggest value in -3/136, -0.2, -4? -4 What is the second smallest value in 4, -6/7, 1.8? 1.8 Which is the third smallest value? (a) -3 (b) 0.3 (c) 487 (d) -5 b Which is the third biggest value? (a) 2 (b) -0.2 (c) -1/3 (d) 1 b Which is the fifth smallest value? (a) -46 (b) 6/7 (c) -0.2 (d) -0.1 (e) -0.4 b What is the third smallest value in -9.4, 4, 1.2? 4 Which is the second smallest value? (a) 2 (b) -0.22 (c) 1 c Which is the fifth smallest value? (a) -1/10 (b) 0.4 (c) -4 (d) 24 (e) -1 d Which is the fifth smallest value? (a) -15/28 (b) -0.1 (c) -1/3 (d) -0.4 (e) -1 b What is the third biggest value in -2, -5, 2, 5/22? -2 Which is the third smallest value? (a) -1/2 (b) 14/9 (c) -1 b What is the second biggest value in -1, 1/3, -3/4, -4? -3/4 What is the biggest value in -5, -1, 0.4, 43? 43 What is the second biggest value in -328, -4, -17? -17 What is the smallest value in 0.8, 0, 73? 0 What is the smallest value in 0, -0.03, 10? -0.03 What is the fifth smallest value in 4, -3/2, -35, 1/5, 5? 5 What is the smallest value in -2, -4, 1/2, 26/11? -4 Which is the smallest value? (a) 0 (b) 4 (c) -13/5 c Which is the biggest value? (a) -1/9 (b) 28 (c) -4 b Which is the smallest value? (a) -0.1 (b) 13/4 (c) 1/4 (d) -2 (e) 0.01 d Which is the fourth smallest value? (a) 0.3 (b) -2/7 (c) -0.17 (d) 3/5 d What is the second smallest value in -1/5, 0.5, -7.32? -1/5 What is the smallest value in 0.4, 5, 0.1, -9/4? -9/4 What is the second smallest value in 3, -0.32, -0.3, 6/13? -0.3 Which is the third biggest value? (a) 21 (b) 2 (c) -0.1 c What is the third biggest value in 11, 3, -1/2? -1/2 Which is the second smallest value? (a) 2 (b) -12/47 (c) 3 a What is the third biggest value in 125, -5, 3? -5 Which is the third smallest value? (a) 5 (b) -4 (c) -0.06 (d) 1/5 d Which is the second smallest value? (a) 4 (b) -0.97 (c) -53 b Which is the biggest value? (a) -3 (b) -1 (c) -2/15 (d) -1/9 (e) 5/4 e What is the third biggest value in -11, -14, 0.2, 0? -11 Which is the third smallest value? (a) -5 (b) 0 (c) -1 b What is the second smallest value in -8/7, -0.2, -5? -8/7 Which is the fourth biggest value? (a) 1 (b) -4 (c) -334 (d) 2/25 c What is the smallest value in -0.3, -60, -0.2? -60 What is the smallest value in -0.2, -420, 2, -3/10, 1? -420 Which is the second biggest value? (a) -2 (b) 3 (c) 2/35 (d) 1.4 d What is the second smallest value in 39/4, 3, -2/3? 3 What is the fourth biggest value in 1, 0.5, -0.3, -5, 4/9? -0.3 Which is the third smallest value? (a) -2/7 (b) 3 (c) -1/4 (d) -2/5 c Which is the third smallest value? (a) -1 (b) 17/5 (c) 0.1 b Which is the third smallest value? (a) -1 (b) -0.1 (c) -3/4 (d) 1 (e) -20 c Which is the second smallest value? (a) 5 (b) 2/13 (c) 10 (d) 0.3 d What is the third biggest value in -2/13, -5/2, -8.3? -8.3 Which is the second smallest value? (a) -0.04 (b) -1 (c) 6 a What is the biggest value in -3/8, -0.2, 4/5, 1/32, 2? 2 What is the third biggest value in -5, -0.5, 5, -1/140? -0.5 What is the second biggest value in -4, 4, -5, 14? 4 Which is the smallest value? (a) 5 (b) -4 (c) -239 (d) -3/5 c Which is the fifth biggest value? (a) -3 (b) 4 (c) 0.13 (d) 35 (e) -2/5 a Which is the third biggest value? (a) 0 (b) -0.18 (c) -0.19 c Which is the smallest value? (a) 1 (b) -146 (c) -1/3 (d) -0.4 b What is the biggest value in 26, 0.45, 2/7, -3? 26 What is the biggest value in -0.2, 0.4, 12, 2? 12 Which is the second smallest value? (a) 219 (b) -4 (c) -0.1 (d) -1 d What is the biggest value in -1/5, 1/9, -4? 1/9 Which is the third smallest value? (a) -0.1 (b) 8 (c) -1/53 b What is the third biggest value in -0.2, 4, -3? -3 What is the fourth smallest value in 1/19, 0, 5/2, 0.6? 5/2 Which is the third biggest value? (a) -3 (b) -3/7 (c) -0.21 a Which is the third smallest value? (a) -0.011 (b) 2 (c) 0.05 (d) -2.7 c What is the fourth smallest value in -65, -0.5, 2/3, 0.07? 2/3 Which is the smallest value? (a) 5 (b) -2 (c) -0.2 (d) 7 b What is the fourth biggest value in -2, 0.3, -3, 1/4? -3 What is the third smallest value in 4, -15, -0.08, -2/7? -0.08 Which is the second smallest value? (a) 2/11 (b) -1/5 (c) -0.37 (d) -2.8 (e) -4 d What is the t
{ "pile_set_name": "DM Mathematics" }
00*m/7. 4*m*(m - 22)*(m + 5)**2/7 Find f such that -2*f**4 + 19*f**3 - 22*f**2 - 16*f = 0. -1/2, 0, 2, 8 Determine i, given that 27*i**5 - 2988*i**4 - 1014*i**3 + 1668*i**2 - 333*i = 0. -1, 0, 1/3, 111 Factor l**4 + 168*l**3 + 486*l**2 - 1480*l + 825. (l - 1)**2*(l + 5)*(l + 165) What is v in -3*v**3 + 3015*v**2 + 6039*v + 3021 = 0? -1, 1007 Determine a, given that 25*a**5/7 + 3365*a**4/7 - 8174*a**3/7 + 6290*a**2/7 - 1643*a/7 + 137/7 = 0. -137, 1/5, 1 Suppose i**2/5 + 18*i/5 - 19/5 = 0. Calculate i. -19, 1 Determine g, given that 2*g**3/11 - 802*g**2/11 + 79998*g/11 + 80802/11 = 0. -1, 201 What is z in z**4 + 3*z**3 + 2*z**2 = 0? -2, -1, 0 Factor 2*w**4/7 + 66*w**3/7 - 4104*w**2/7 + 56160*w/7 - 238464/7. 2*(w - 12)**3*(w + 69)/7 Factor 2*s**2/9 + 106*s/9 + 88. 2*(s + 9)*(s + 44)/9 Suppose v**3/4 + 593*v**2/4 - 2385*v/4 + 1791/4 = 0. What is v? -597, 1, 3 Factor 16*g**2/7 - 86*g/7 + 30/7. 2*(g - 5)*(8*g - 3)/7 Factor -2*o**5 + 29*o**4 - 50*o**3. -o**3*(o - 2)*(2*o - 25) Let -z**2/4 - 9697*z/2 - 94031809/4 = 0. Calculate z. -9697 Determine c so that -3*c**4/8 - 1647*c**3/8 - 113427*c**2/4 - 53841*c/2 + 168921 = 0. -274, -3, 2 Suppose 5*k**5 - 10*k**4 - 130*k**3 - 280*k**2 - 235*k - 70 = 0. What is k? -2, -1, 7 Let x**2 + 290*x + 289 = 0. Calculate x. -289, -1 Factor 2*s**4 + 2*s**3 - 2*s**2 - 2*s. 2*s*(s - 1)*(s + 1)**2 Factor 3*v**2 + 107*v + 70. (v + 35)*(3*v + 2) Determine a, given that -4*a**5 - 60*a**4 - 116*a**3 + 748*a**2 - 888*a + 320 = 0. -10, -8, 1 Let k**4/3 - 62*k**3/9 + 103*k**2/9 + 56*k/3 = 0. What is k? -1, 0, 3, 56/3 Factor 35*k**3/6 - 115*k**2/3 + 35*k/2 + 15. 5*(k - 6)*(k - 1)*(7*k + 3)/6 Factor 3*j**3 - 42*j**2 + 72*j. 3*j*(j - 12)*(j - 2) Factor w**4/5 - 2*w**3/5 - 7*w**2/5 - 4*w/5. w*(w - 4)*(w + 1)**2/5 Factor -5*f**2 + 3870*f - 748845. -5*(f - 387)**2 Factor 4*n**3 - 1496*n**2 + 139876*n. 4*n*(n - 187)**2 Let -t**4 - 42*t**3 - 508*t**2 - 1254*t + 1805 = 0. What is t? -19, -5, 1 Solve -2*v**2/7 + 372*v/7 - 17298/7 = 0 for v. 93 Factor -20*u**3 + 528*u**2 - 1588*u + 552. -4*(u - 23)*(u - 3)*(5*u - 2) Factor b**3/3 - 1897*b**2/3 + 632*b. b*(b - 1896)*(b - 1)/3 Find i such that -2*i**2/9 - 38*i/3 - 112/9 = 0. -56, -1 Find l such that 2*l**2/3 + 14*l/3 + 20/3 = 0. -5, -2 Factor -t**3/4 + 69*t**2/4 + 141*t/4 + 71/4. -(t - 71)*(t + 1)**2/4 Find b, given that -b**4 + 29*b**3 - 80*b**2 + 52*b = 0. 0, 1, 2, 26 Factor 3*w**4 - 78*w**3 + 747*w**2 - 3120*w + 4800. 3*(w - 8)**2*(w - 5)**2 What is m in 3*m**5/2 - 9*m**4/2 + 3*m**3 = 0? 0, 1, 2 Solve 6*m**5 + 122*m**4 - 428*m**3 - 1428*m**2 - 1114*m - 230 = 0 for m. -23, -1, -1/3, 5 Let 2*i**2 + 70*i - 72 = 0. Calculate i. -36, 1 What is b in 100*b**4 + 180*b**3 - 84*b**2 - 196*b = 0? -7/5, 0, 1 Factor -5*p**4 + 55*p**3 - 75*p**2 - 335*p - 200. -5*(p - 8)*(p - 5)*(p + 1)**2 What is j in -2187*j**5 + 2096604*j**4 - 503184555*j**3 + 334835394*j**2 - 74361876*j + 5506584 = 0? 2/9, 479 Suppose 16*b**4 + 116*b**3 + 28*b**2 - 576*b - 144 = 0. Calculate b. -6, -3, -1/4, 2 Factor -3*i**2 - 417*i - 414. -3*(i + 1)*(i + 138) Solve -4*o**5/7 + 4*o**4/7 + 40*o**3/7 + 32*o**2/7 = 0. -2, -1, 0, 4 Solve j**3/2 - 4899*j**2/2 + 6002499*j/2 - 5997601/2 = 0. 1, 2449 Factor 2*k**4/3 - 10*k**3/3 + 4*k**2/3 + 16*k/3. 2*k*(k - 4)*(k - 2)*(k + 1)/3 Factor v**5 + 14*v**4 - 206*v**3 - 692*v**2 - 715*v - 242. (v - 11)*(v + 1)**3*(v + 22) Find g, given that g**5 - 12*g**4 + 33*g**3 + 34*g**2 - 84*g - 72 = 0. -1, 2, 6 Factor 2*n**2/5 + 274*n/5. 2*n*(n + 137)/5 Factor -4*u**4 - 28*u**3 - 20*u**2 + 28*u + 24. -4*(u - 1)*(u + 1)**2*(u + 6) Let 26460*t**3 + 29995*t**2/2 + 2090*t - 10 = 0. What is t? -2/7, 1/216 Suppose -2*h**3 + 92*h**2 - 960*h - 2304 = 0. What is h? -2, 24 Factor -5*u**3 + 30*u**2 - 45*u + 20. -5*(u - 4)*(u - 1)**2 Find u such that 5*u**4 + 40*u**3 + 55*u**2 - 40*u - 60 = 0. -6, -2, -1, 1 Factor -75*d**3/4 - 7095*d**2/2 + 2847*d - 570. -3*(d + 190)*(5*d - 2)**2/4 What is n in 4*n**2 + 88*n - 192 = 0? -24, 2 Solve -f**2/4 + 549*f/4 = 0 for f. 0, 549 Suppose -4*q**2 + 360*q - 8100 = 0. Calculate q. 45 Find y, given that y**2 + 136*y = 0. -136, 0 Factor 3*z**2 - 15*z. 3*z*(z - 5) Factor 2*f**4/9 - 2*f**3/3 - 8*f**2/9 + 8*f/3. 2*f*(f - 3)*(f - 2)*(f + 2)/9 Solve -f**4 - 27*f**3 - 51*f**2 - 25*f = 0. -25, -1, 0 Factor -2*q**2/9 - 116*q/9 - 1682/9. -2*(q + 29)**2/9 Suppose u**2/2 + 15*u + 28 = 0. Calculate u. -28, -2 Factor -6*x**4/5 - 73*x**3/5 - 228*x**2/5 - 36*x/5. -x*(x + 6)**2*(6*x + 1)/5 Factor -2*t**3/15 - 1622*t**2/5 - 1315442*t/5 - 1066823462/15. -2*(t + 811)**3/15 Let -14*d**3/17 - 368*d**2/17 + 274*d/17 + 108/17 = 0. What is d? -27, -2/7, 1 Solve 20*i**3/7 - 4*i**2/7 - 16*i/7 = 0. -4/5, 0, 1 Find p, given that -p**4/4 + 77*p**3/4 - 415*p**2 + 1692*p - 1296 = 0. 1, 4, 36 Factor -5*d**4 - 26140*d**3 - 51247470*d**2 - 44653628860*d - 14590573230005. -5*(d + 1307)**4 Factor -5*g**3/4 + 55*g**2/2 - 185*g/4 - 75. -5*(g - 20)*(g - 3)*(g + 1)/4 Find i such that -i**2/3 + 40*i + 121/3 = 0. -1, 121 Factor z**4/2 + 49*z**3/2 - 3*z**2/2 - 149*z/2 - 49. (z - 2)*(z + 1)**2*(z + 49)/2 Let -2*n**3 + 2*n**2 = 0. Calculate n. 0, 1 Let 6*m**4/11 + 2*m**3/11 - 34*m**2/11 + 38*m/11 - 12/11 = 0. What is m? -3, 2/3, 1 Factor -y**2/8 - 137*y/8 + 105/2. -(y - 3)*(y + 140)/8 Let -p**2 + 2336*p - 1364224 = 0. What is p? 1168 Solve 21*f**4 - 312*f**3 + 1281*f**2 - 882*f = 0. 0, 6/7, 7 What is o in 2*o**4/7 + 90*o**3/7 - 2*o**2/7 - 90*o/7 = 0? -45, -1, 0, 1 Find t, given that 4*t**5 - 260*t**4/3 - 652*t**3/3 - 476*t**2/3 - 32*t = 0. -1, -1/3, 0, 24 Determine q so that 5*q**5/2 - 133*q**4/2 + 1041*q**3/2 - 2627*q**2/2 + 437*q + 420 = 0. -2/5, 1, 4, 7, 15 Let 6*z**5 + 70*z**4 + 246*z**3 + 210*z**2 - 100*z = 0. Calculate z. -5, -2, 0, 1/3 Solve 4*l**2 + 792*l - 796 = 0 for l. -199, 1 Factor -2*r**2/11 + 7632*r/11 - 7280928/11. -2*(r - 1908)**2/11 Factor -2*n**2 - 16*n. -2*n*(n + 8) Factor 2*f**3 + 1320*f**2 + 2634*f + 1316. 2*(f + 1)**2*(f + 658) Find q such that -2*q**5/9 - 40*q**4/9 - 272*q**3/9 - 64*q**2 + 96*q + 384 = 0. -6, -4, 2 Suppose -z**4/4 + z**2 = 0. Calculate z. -2, 0, 2 Find y such that -33*y**5 + 27*y**4 + 105*y**3 - 147*y**2 + 36*y + 12 = 0. -2, -2/11, 1 Factor 5*m**4 + 30*m**3 + 45*m**2 + 20*m. 5*m*(m + 1)**2*(m + 4) Factor 2*s**4 - 10*s**3 + 6*s**2 + 10*s - 8. 2*(s - 4)*(s - 1)**2*(s + 1) Factor y**4 + 104*y**3 + 4056*y**2 + 70304*y + 456976. (y + 26)**4 Find n such that -n**5/5 - 19*n**4/5 + 42*n**3/5 = 0. -21, 0, 2 Let -62*r**4/11 + 4*r**3/11 + 186*r**2/11 + 112*r/11 - 8/11 = 0. What is r? -1, 2/31, 2 Find q such that 2*q**2/9 + 2*q/3 - 8/9 = 0. -4, 1 Find g such that -12*g**4 - 1452*g**3 - 43191*g**2 + 44286*g - 11163 = 0. -61, 1/2 Determine l, given that -2*l**4/5 - 154*l**3/5 - 30*l**2 + 154*l/5 + 152/5 = 0. -76, -1, 1 Factor 3*s**2 - 852*s + 60492. 3*(s - 142)**2 Factor -64*a**4 + 9680*a**3 - 21564*a**2 + 16119*a - 4023. -(a - 149)*(4*a - 3)**3 Factor -2*y**2 - 40*y + 312. -2*(y - 6)*(y + 26) Determine l, given that -2*l**3/5 - 4*l**2/5 + 2*l/5 + 4/5 = 0. -2, -1, 1 What is c in 21*c**4 + 540*c**3 + 369*c**2 - 150*c = 0? -25, -1, 0, 2/7 Factor 3*a**2 + 576*a + 27648. 3*(a + 96)**2 Let 54*o**5 - 54*o**4 - 468*o**3 - 632*o**2 - 336*o - 64 = 0. Calculate o. -1, -2/3, 4 Determine o so that -2*o**4/3 - 314*o**3/9 + 872*o**2/9 - 440*o/9 = 0. -55, 0, 2/3, 2 Let 6*l**4 - 20*l**3 + 24*l**2 - 12*l + 2 = 0. Calculate l. 1/3, 1 Suppose 2*y**2/3 - 2000*y/3 = 0. What is y? 0, 1000 Solve 3*x**5 - 34*x**4 + 146*x**3 - 292*x**2 + 267*x - 90 = 0. 1, 3, 10/3 Determine m so that 3*m**4 + 60*m**3 + 96*m**2 - 240*m - 432 = 0. -18, -2, 2 Factor -4*d**3 - 252*d**2 - 3068*d - 2820. -4*(d + 1)*(d + 15)*(d + 47) Factor -2*z**2 + 464*z - 920. -2*(z - 230)*(z - 2) Find k, given that 2*k**4/9 + 28*k**3/9 + 46*k**2/3 + 32*k + 24 = 0. -6, -3, -2 Factor 2*v**4/3 - 16*v**3/3 + 46*v**2/3 - 56*v/3 + 8. 2*(v - 3)*(v - 2)**2*(v - 1)/3 Factor -3*i**2 - 60*i + 207. -3*(i - 3)*(i + 23) Suppose 3*z**4 - 564*z**3/5 + 6747*z**2/5 - 4842*z - 2160 = 0. What is z? -2/5, 8, 15 Solve 3*f**5/7 + 167*f**4/7 - 407*f**3/7 - 51*f**2/7 + 404*f/7 - 116/7 = 0 for f. -58, -1, 1/3, 1, 2 Factor -x**4/2 + 41*x**3/2 + 65*x**2 + 44*x. -x*(x - 44)*(x + 1)*(x + 2)/2 Let 2*t**2/15 - 424*t/15 + 22472/15 = 0. What is t? 106 Factor -242*s**3 + 132*s**2 + 576*s + 256. -
{ "pile_set_name": "DM Mathematics" }
1 Solve -2*p - 3*z = -6, -3*p + 8*p - 3*z = -6 for p. 0 Solve q = -x + 4, -1 + 0 = q for x. 5 Solve 15 = -u - 6*b + 2*b, 9 = -u - 2*b for u. -3 Solve 2*k = 5*k - y + 19, 5*k = -y - 21 for k. -5 Solve 4*r - 3*b - 7 = -3, -r = -4*b - 14 for r. -2 Solve 15*q = -4*d + 20*q - 14, 4*q = -4*d + 4 for d. -1 Solve -27*n + 24*n + 3*d - 6 = 0, -3*d = -5*n - 8 for n. -1 Solve 4*b - 4*k + 4 = 0, 0*k - 4 = -4*b - 4*k for b. 0 Solve -2*s - 4 = 3*o, -3*s + 17 - 9 = o for o. -4 Solve -1 + 12 = 4*q - g, 2*q - 3*g - 3 = 0 for q. 3 Solve -f - 14 = -2*f - 5*p, -24 = -5*f - 2*p for f. 4 Solve 2*t + 1 = -k, 2*k + 7 = -t + 2 for k. -3 Solve -4*a = -4*q, -5*q - 2*a + 0*a + 35 = 0 for q. 5 Solve 2*l - 8 = 4*g - 30, 3*g + 4*l = 11 for g. 5 Solve -3*i + 13 = -4*y + 5*y, 2*i - 12 = -4*y for i. 4 Solve -40 = -4*a + 5*h, 4*a - 3*h = h + 36 for a. 5 Solve z - 8 = -v + 4*z, -2*v = 4*z + 14 for v. -1 Solve 4*b + 4 = 3*b, 3*b + 9 = 3*t for t. -1 Solve -5*x + 5*y - 2 = -x, 0 = 4*x - 3*y - 2 for x. 2 Solve 20 = 7*z - 9*z - 4*d, -4*z = -2*d for z. -2 Solve -3*o - d = -9, 0 = -o + 5*d + 2 + 1 for o. 3 Solve -16*f = -17*f, -5*z - 3*f = -25 for z. 5 Solve 4*y - 5*y - 1 = 4*w, -2 = 2*y - 5*w for y. -1 Solve -4*m - 22*s + 19*s = 32, -m - 3*s = 17 for m. -5 Solve 2 = -g - 2*p, 4*g - 5*p + 10 = -g for g. -2 Solve -4*n = -y - 11, 24 = -13*y + 17*y + n for y. 5 Solve 5*i - 4*v + 8 = 0, 3*v = -i - 3*i - 25 for i. -4 Solve -5*w - 6*l + 23 = -2*l, -3*w + l + 7 = 0 for w. 3 Solve -3*j - 18 = 3*y, 11*j - y = 6*j - 18 for j. -4 Solve 3*q + 5*z - 1 - 11 = 0, q - 4 = 2*z for q. 4 Solve 2*k + 1 + 1 = -2*l, 4*l = -5*k - 8 for k. -4 Solve 23*f - 25*f - 7 = -3*k, -5*f - 4*k - 29 = 0 for f. -5 Solve 4*c - 3*q + 16 + 0 = 0, -q + 8 = -2*c for c. -4 Solve 4*h = 4*g - 16, -6*h + 11*h + 20 = -3*g for h. -4 Solve -2 = f, 3*f + 7 = -4*m - 7 for m. -2 Solve 4*b - 3*w = -10, -b + 0*w = w - 1 for b. -1 Solve 3*q = i + 2, -5*i + i = -2*q + 8 for q. 0 Solve 2*x - z = 0, 0*x = 3*x + 5*z - 13 for x. 1 Solve -5*t = -5*x + 30, t + 8 + 4 = 3*x for t. -3 Solve -2*k = -3*v - 0*v + 20, 0 = -5*v - k + 16 for v. 4 Solve 22 = -5*h - w, -5*h - 2 = 4*w + 26 for h. -4 Solve -41*l - 5*v + 19 = -40*l, -16 = -4*v for l. -1 Solve -2*b = 2*j - 10, -4*j + 22 - 2 = 0 for b. 0 Solve 4*l + 16 = 4*t, t - 1 + 3 = -5*l for l. -1 Solve 3*g + 9 = -4*n, -5*n = -2*n for g. -3 Solve o + b + 1 = 0, 18*o + 4*b = 13*o - 5 for o. -1 Solve l = z + 11 - 2, 3*l = -3*z - 3 for z. -5 Solve -4*g + 32 = 5*l, -5*l = -2*l - 4*g - 32 for l. 8 Solve -4*a - 20*w - 3 = -19*w, 5*w = 5*a + 35 for a. -2 Solve 5*f + 12 = 4*d, 6*d = -4*f + 2*d - 24 for f. -4 Solve -3*j + 25 = 2*j - 3*t, 5*t = 0 for j. 5 Solve -5*v - v + 3*b - 15 = 0, 0 = -v - 4*b + 11 for v. -1 Solve 3*n = 5*z - 32 + 30, 2*n + 3*z - 5 = 0 for n. 1 Solve 6 = 2*r - p, -5*p + 14 = 2*r - 10*p for r. 2 Solve -2*i - 3 = 2*o + 5, 0 = -5*o + 5*i + 10 for o. -1 Solve -3*i + 2 - 1 = -j, i - 2 = 0 for j. 5 Solve 5*i = -4*r + 12, 0 = 2*r - 4*r - 4*i + 12 for r. -2 Solve j - 1 = -18*r + 15*r, 0 = 2*j + 2*r - 6 for j. 4 Solve -5*t = 5*f + 15, -10*t = -f - 9*t + 7 for f. 2 Solve -4*i = u - 8 - 9, 0 = 3*u + i - 7 for u. 1 Solve -2*a = -4*r + 26, -2*r + r - 3*a = 11 for r. 4 Solve s - 5 = -3*c, -2*s = 5*c - 6*s + 3 for c. 1 Solve a - 4*q = 3, -21*q + 22*q + 3 = -2*a for a. -1 Solve -11 = -2*d - k, 100*k + 2 = d + 104*k for d. 6 Solve -2*z - 6 = -4*o, -16 = -5*o + 3*z - 8 for o. 1 Solve 4*k + 13 = -v, -2*k + 31 = -6*k + 5*v for k. -4 Solve 4*b = -4*o, b - 5*o + 12 = 2*b for b. -3 Solve 4*u - 12 = -2*b, -7*b = 5*u - 9*b - 24 for u. 4 Solve -2*n = 2*u - 20, 2*n - 4*n = -3*u + 5 for n. 5 Solve -5*x + 5*h = -20, 0 = 7*x - 4*x + 2*h - 7 for x. 3 Solve -3*h = 5*v - 4*h - 15, -25 = 5*h for v. 2 Solve 2*m = 4*b + 3*m + 7, -8 = 2*b + 2*m for b. -1 Solve 2*f = 4*j + 2, -j + 1 = -11*f + 9*f for j. -1 Solve 3*h - 8 - 1 = 0, p + 4*h - 16 = 0 for p. 4 Solve 0 = -2*k, 4*y + 15 = 3*k - 5 for y. -5 Solve 0 = -28*z + 29*z + l - 6, l = 5*z for z. 1 Solve 0 = -5*z - 2*k - 18, -z - 28 = 3*z + 5*k for z. -2 Solve -5*b = 10, 5*t + 5*b + 96 = 61 for t. -5 Solve 0 = 7*k - 5*k + 2, -4*i - 4*k - 24 = 0 for i. -5 Solve 5*j = -4*p - 30, 2*p + 0*p + 3*j = -16 for p. -5 Solve -4*p = 5*l - 24, -3 + 0 = -2*l + 5*p for l. 4 Solve -3*h - 16 = -h + 5*a, -5*h + 4*a = 7 for h. -3 Solve -3*r + c + 11 = 6, -2*c + 14 = 2*r for r. 3 Solve 3*f - 6*f + 5*k + 17 = 0, 5*f + 17 = -3*k for f. -1 Solve -4*m - 2*g = 10, m - 3*g + 21 = -2*m for m. -4 Solve 0 = -2*u - f - 3 - 9, u + f = -8 for u. -4 Solve 1 = -m, -13*w = -11*w - 3*m - 7 for w. 2 Solve -3*c - 4 = -4*b, -4*b + 4 = -3*c + 2*c for c. 0 Solve -q = -m, m - 2*q + 1 = -1 for m. 2 Solve 3*h + 3 = -0*h, -h = 4*q + 1 for q. 0 Solve 5*s + 3*y + 12 = 0, -39*s - 5*y + 2 = -38*s for s. -3 Solve -3*y = 4*m + 19 - 4, 10 = -2*y for m. 0 Solve 0 = -2*b - b - 9, 0 = 3*w + b - 3 for w. 2 Solve y - 5 + 0 = -5*o, o = -3*y + 15 for y. 5 Solve 3*f + 43 = -229*g + 233*g, -4*f = -3*g + 41 for g. 7 Solve -2*z - 5 = k, -20*k = -25*k + 3*z + 40 for k. 5 Solve 4*g - 6 = 4*h - 6*h, 4 = g for h. -5 Solve u + x = 4, -3*x - 17 = -5*u - 7*x for u. 1 Solve -5*q - 25 = 5*g - g, 0 = -q - 5*g - 26 for q. -1 Solve 4*a + 5*c = -17, -28*c = -5*a - 29*c - 16 for a. -3 Solve -3*z = 9*d - 29 - 34, 5*z = -d + 21 for d. 6 Solve 0 = 2*p + 4*f - 4, 0 = -3*p + 5*f + 18 - 1 for p. 4 Solve -2 = -x + 2*n + 2, 4*x + n - 7 = 0 for x. 2 Solve 4*n - 10 = 3*g - 42, -2*g - n = -14 for g. 8 Solve 4*t - 7 = 3*u, 4*u - 2*t = 6*u - 14 for u. 3 Solve -u = 56*w - 57*w + 2, -w = 5*u + 28 for w. -3 Solve i - 2*d = 6*i, d = -5*i + 5 for i. 2 Solve 3*y = 3*i + 12, 0 = -3*y + 5*i - i + 14 for y. 2 Solve -4*i - 24 = 4*z, 2*z - 3*z + 2*i = 0 for z. -4 Solve 2*k - 20 = 6*k + 2*u, 14 = -5*k + 3*u for k. -4 Solve 2*y + 2 = 3*u + 4, -5*y - 3*u = -26 for y. 4 Solve 3*m = 2*a - 5, 4*m - 6*m - 2*a = 10 for m. -3 Solve -5*d + 3*d - 5*v + 10 = 0, 5*v - 10 = 3*d for d. 0 Solve 3*k = 2*y + 11, 5*k = 4*k + y + 5 for k. 1 Solve -5*y = 25, 4*f - 2*y - 3*y - 29 = 0 for f. 1 Solve 0 = -3*j - 4 + 1, -2*n = j + 5 for n. -2 Solve -4*x - 20 = -3*c, 5*c + 2*x - 15 = 5*x for c. 0 Solve 4*j + 19 = 3*n, 0 = -2*n - 2*j - 7 + 15 for n. 5 Solve 4*p = 3*q - 8, q + 2*p - 10 = 6*q for q. -4 Solve 5*x + 24 = 4*a, -4*a - 16 = -3*x - 32 for a. 1 Solve -3*s - m = -13, 2*m = 2*s + 6*m - 2 for s. 5 Solve -3*t + 173 = 3*h + 185, -h - 5*t = 4 for h. -4 Solve -3*p + 5*i - 9 - 1 = 0, 0 = -5*i + 25 for p. 5 Solve 3*t + 29 = -4*z, -z = -4*t - t - 10 for t. -3 Solve -4*z = p - 8, 5*p + 4 = -4*z - 4 for p. -4 Solve -3*t = 4*a - 6, -4*a + 5 = 4*t - 7 for a. -3 Solve -3*d - g = -8, -3*g + 6*g - 10 = 5*d for d. 1 Solve 13 = 5*x - x + l, -29 = -5*x + 3*l for x. 4 Solve -4*i - 5*h + 17 = 0, 6 = 2*i + 3*h - 5 for i. -2 Solve 0 = -k - 4*m + 13, 0*k - 5 = -2*k - m for k. 1 Solve -r = 1, r + 10 + 11 = -4*f for f. -5 Solve -y + o - 3 = 0, 12 = -10*y + 8*y - 4*o for y. -4 Solve 0 = 3*v - 4*w + 34 - 15, 2*v + 4*w - 14 = 0 for v. -1 Solve -4*s + 7*s = -u - 8, -10 = -4*u + 2*s for u. 1 Solve -73*h - 2*w - 14 = -72*h, -2*h - 33 = 5*w for h. -4 Solve 3*r + 2 = -5*u, -89 = 5*r + 3*u - 75 for r. -4 Solve -20*p = -5*j - 21*p + 35, -5*p = -25 for j. 6 Solve 32*l + 10 = 27*l - 2*p, -2*l - 4*p = -12 for l. -4 Solve -3*j = 4*t, -t - 4*j = 3*t for t. 0 Solve 0 = 4*h + s + 13, 2*h - 4*s + 5 = -h for h. -3 Solve 0 = -y - 4*a - 20, -25 = -2*y + 62*a - 57*a for y. 0 Solve 3*i - 5*x = 6*i - 1, 5*i - 14 = 4*x for i. 2 Solve 3*p + 15 = -3*j, 24*j = -4*p + 28*j + 12 for p. -1 Solve -3*m - 1 = f + 14, 0 = -5*m + 3*f - 11 for m. -4 Solve 5*i = -v - 10 - 1, 4*v - 4*i - 4 = 0 for v. -1 Solve -4*w - s = -7, -2*s - 21 = -2*w + s for w. 3 Solve m + 5*c = 16, -3*m - 3*c + 4 = c for m. -4 Solve -2*f - 2 = l - 3*f, 0 = -3*l + 4*f - 7 for l. -1 Solve 22 = 5*d - m, 5*d + 9*m = 11*m + 19 for d. 5 Solve 8*h = 40, 2*p - 18*h - 27 = -23*h for p. 1 Solve -m + 3*b = 7, -3*m + 3*b = -4*m + 17 for m. 5 Solve 0 = s - 4*m - 1, 5*m = 4*s + 4*m - 4 for s. 1 Solve -t - 2*t + 5*d - 16 = 0, d = -2*t + 11 for t. 3 Solve 0 = 3*q + b + 7, -2*q = -4*b + 2 + 26 for q. -4 Solve 2*o = -0*o - a + 7, -5*a = 4*o - 5 for o. 5 Solve -3*r + 2*a = -0*a + 7, a = 3*r + 2 for r. 1 Solve 2*q + 3 = 3*y, 2*q = -y + 26 - 17 for y. 3 Solve 4*h - 4*z + 28 = 0, 6*h - z + 27 = h for h. -5 Sol
{ "pile_set_name": "DM Mathematics" }
) be the second derivative of -1/12*d**4 + 0 + 0*d**3 + 2*d - 1/30*d**6 + 0*d**2 + w*d**5. What is the third derivative of x(u) wrt u? -24*u Let u be (1/(-2))/((-1)/4). Let o(j) be the third derivative of -1/6*j**3 + 0 + 0*j**5 - 1/120*j**6 + 0*j + u*j**2 + 0*j**4. Differentiate o(i) wrt i. -3*i**2 Let m(p) = -p**3 + 1. Let b(k) = -18*k**3 - 14*k - 4. Let i(l) = b(l) + 4*m(l). What is the second derivative of i(r) wrt r? -132*r Suppose 2*u + 5 = 4*j - 13, 5*j - 4*u - 30 = 0. What is the third derivative of j*x**5 - x + 3*x**2 - 4*x**2 + x wrt x? 120*x**2 Let i = -4 + -2. Let o = i + 8. What is the third derivative of 4*j**2 + 7 - 7 - 3*j**o - j**3 wrt j? -6 Let r(w) be the third derivative of -7*w**6/120 - w**4/4 - w**2. What is the second derivative of r(d) wrt d? -42*d Let r(l) be the first derivative of -7*l**2 + 39*l - 20. Differentiate r(k) with respect to k. -14 Let s be 15/2 - 3/6. Let n = s - 4. Find the third derivative of -j**3 - n*j**2 + j**2 + j**2 wrt j. -6 Let b(q) be the first derivative of 9*q**5/5 - 10*q + 6. What is the first derivative of b(j) wrt j? 36*j**3 Let y(d) be the third derivative of d**7/70 - 7*d**3/3 - 4*d**2. What is the first derivative of y(l) wrt l? 12*l**3 Let s(c) be the first derivative of 13*c**5/5 - 2*c**2 - 25. Find the second derivative of s(a) wrt a. 156*a**2 Let r be (12/9)/(6/9). What is the third derivative of 3*j**r - 4*j**2 - 2*j**2 - j**3 + 3*j**3 wrt j? 12 Let i be 52/14 - (-4)/14. What is the first derivative of i - u**3 - 2*u**3 + 0*u**3 wrt u? -9*u**2 Suppose -2*t + 0 = -10. What is the first derivative of -5 + t*k**4 + 7*k**4 - 6*k**4 wrt k? 24*k**3 Let a(p) = -2*p**4 + p**2 + 5. Let l(v) = -v**4 + 0 + 3*v + 1 - 3*v. Let g(h) = -a(h) + 5*l(h). What is the third derivative of g(m) wrt m? -72*m Find the second derivative of -5*p - 46*p**3 + 10*p**5 + 46*p**3 + p wrt p. 200*p**3 Let p(v) = 5*v**2 + 3*v + 3. Let q(x) = -x**2 - 1. Let t(g) = -4*p(g) - 12*q(g). Find the second derivative of t(a) wrt a. -16 Let y = -2 + 6. What is the derivative of -1 + 0 + 3*g**4 - y*g**4 + 5*g**4 wrt g? 16*g**3 Let b(r) be the second derivative of 53*r**5/20 - r**4/6 - 6*r**2 - 3*r + 6. Find the third derivative of b(w) wrt w. 318 Let c(m) = -4*m - 3 + 7 - m**2 + 2. Let w be c(-5). What is the derivative of 5*b + w - 5*b + 2*b**3 wrt b? 6*b**2 Let d(c) = 5*c**2 + 2*c + 1. Let s = -5 - -4. Let u be d(s). What is the first derivative of u + 0*f + 3*f - 3 wrt f? 3 Let w(b) = -b**3 + b**2 + 15. Let q be w(0). Suppose -5*m = -0*m - q. Find the second derivative of 5*h - 2*h - 3*h - h + m*h**5 wrt h. 60*h**3 Let h(u) be the second derivative of -u**5/10 - 2*u**3/3 - u. Find the second derivative of h(m) wrt m. -12*m Let i(q) be the first derivative of 14*q**5/5 - 3*q**2 + 8. Find the second derivative of i(z) wrt z. 168*z**2 Let u = 6 + 3. Suppose 19 = 2*q + q + b, 5*q - 4*b - u = 0. Differentiate 3 - q + 1 - 2*w**3 wrt w. -6*w**2 Let u be (-1 + -1)/(5 - 7). Differentiate -u + 4 + 0*a + a + a with respect to a. 2 Let y(k) be the first derivative of 4*k**2 - k - 3. Differentiate y(p) with respect to p. 8 Let d(m) = 4*m - 2. Let r(g) = 4*g - 2. Let j(k) = 3*d(k) - 4*r(k). What is the derivative of j(y) wrt y? -4 Let g = -6 + 8. Suppose c - 4 = -g. Find the third derivative of 0*x**c - x**3 + 0*x**2 + x**2 + 0*x**2 wrt x. -6 Let o = -8 - -14. Let b(r) = 1 - 3 - 4*r**3 - 4*r**3. Let d(c) = 7*c**3 + 2. Let x(i) = o*d(i) + 5*b(i). Find the first derivative of x(n) wrt n. 6*n**2 Suppose -3*d = -o, 2*d + 0*d = -4*o + 14. Let i(h) be the first derivative of -3/4*h**4 + 3*h + 0*h**o + 0*h**2 - 4. Differentiate i(j) with respect to j. -9*j**2 Let l(s) be the second derivative of -s**5/10 + s**2/2 - 6*s. Differentiate l(k) wrt k. -6*k**2 Let v(l) be the third derivative of l**7/210 + l**6/72 + 2*l**3/3 + 4*l**2. Let q(y) be the first derivative of v(y). Find the third derivative of q(n) wrt n. 24 Let l(r) = r**4 + r**2 - 5*r - 5. Suppose -4*o - 9 - 3 = 0. Let j(g) = 3*g + 3. Let t(k) = o*l(k) - 5*j(k). Find the third derivative of t(m) wrt m. -72*m Let n(b) = b + 7. Let y be n(-7). Let k(x) be the first derivative of -2*x + 0*x**4 - 2 + y*x**2 + 2/5*x**5 + 0*x**3. Differentiate k(c) wrt c. 8*c**3 Let d(r) = -r**2 - r - 1. Let j(o) = -10*o**2 + 15*o - 2. Let n(t) = -2*d(t) + j(t). Find the second derivative of n(q) wrt q. -16 Find the third derivative of -3*u**2 + 5*u**2 - u**2 - u**4 wrt u. -24*u Let r be -2 + 4 - (-2 - -1). Let l = -10 + 15. Find the third derivative of r*c**3 - 3*c**3 - 2*c**l + c**2 wrt c. -120*c**2 Suppose 4*l + 3*j + 0 - 8 = 0, 3*l + 5*j = 6. What is the third derivative of u**5 + u**2 + l*u**5 + u**2 wrt u? 180*u**2 Find the second derivative of 0*y - 24*y**4 + 6*y + y + 12*y wrt y. -288*y**2 Suppose 3*f - 9 = 3. Suppose 4*o - 6 - 2 = 0. Find the third derivative of -f*z**5 + 3*z**5 + 3*z**5 + z**o + z**5 wrt z. 180*z**2 Let s(u) = 4*u**5 + u**4 - u**3 + u**2 + 3*u. Let z(o) = o**5 + o**4 - o**3 + o**2. Let b(m) = s(m) - z(m). What is the second derivative of b(i) wrt i? 60*i**3 Let q(c) = 14*c**3 + 11*c**2 + 3*c. Let k(b) = -29*b**3 - 23*b**2 - 7*b. Let h(d) = 3*k(d) + 7*q(d). What is the third derivative of h(u) wrt u? 66 Let w(v) be the first derivative of 0*v**3 + 0*v**4 - 5 - 1/2*v**2 + 0*v + 0*v**5 + 2/3*v**6. What is the second derivative of w(b) wrt b? 80*b**3 Let c(b) = 6*b**5 + 6*b**4 - 6*b**2 + 28*b. Let r(o) = -5*o**5 - 7*o**4 + 7*o**2 - 29*o. Let y(i) = 7*c(i) + 6*r(i). Find the second derivative of y(z) wrt z. 240*z**3 Let w(b) be the first derivative of -b + 0*b**2 - 3/5*b**5 + 0*b**4 + 0*b**3 + 5. Differentiate w(i) wrt i. -12*i**3 Let u(s) be the first derivative of s**6/2 + 3*s**4/4 + 4*s**3/3 - 4*s + 41. What is the third derivative of u(m) wrt m? 180*m**2 + 18 Let g(u) be the third derivative of u**7/42 - 3*u**5/20 + 10*u**2. Find the third derivative of g(n) wrt n. 120*n Let v(a) be the first derivative of a**4/2 - 7*a**3/3 - 7. What is the third derivative of v(t) wrt t? 12 Let c(i) be the second derivative of -i**5/2 + 16*i**3/3 + 20*i. Find the second derivative of c(m) wrt m. -60*m Let w = 7 - 0. Find the third derivative of r**2 + w*r - 7*r + 4*r**4 - r**4 wrt r. 72*r What is the third derivative of -2*i - 3 + 3 + 10*i**2 - 23*i**2 + 42*i**3 wrt i? 252 What is the second derivative of -11*t**4 + 2*t - t**5 + 11*t**4 wrt t? -20*t**3 Let l be (15/12)/(4/16). Find the second derivative of -27 + 17 - 3*x + l*x**2 + 10 wrt x. 10 Let t(d) = -d**2 + 35*d - 19. Let m(q) = 6*q**2 - 176*q + 95. Let j(i) = 2*m(i) + 11*t(i). Differentiate j(n) wrt n. 2*n + 33 Suppose -18 = 3*r - 0*r. Let v = r + 10. Find the first derivative of v*d**4 - d**4 - 2*d**4 + 1 + 2*d**4 wrt d. 12*d**3 Suppose 4 = w + 2. What is the second derivative of 1 - w*m**3 - 1 - 3*m**3 - m wrt m? -30*m Let f(r) be the third derivative of -r**7/420 + r**6/90 - r**3/3 + 2*r**2. Let x(i) be the first derivative of f(i). What is the third derivative of x(n) wrt n? -12 Let u(a) be the first derivative of -3*a**4/4 - a**2/2 + 26. Find the second derivative of u(i) wrt i. -18*i Suppose -4*n - n = -20. Suppose 3*k - 2 = 4. Find the second derivative of 5*j - n*j - 3*j + 3*j**k wrt j. 6 Let u be (-2 - (-1 + 3))*-1. Suppose a - u*h = -8 - 8, -5*a + h = 4. Differentiate a + o + 2 - 1 with respect to o. 1 Let g = 14 - -21. Find the second derivative of -g*y**2 - 5*y**5 + 35*y**2 + 5*y wrt y. -100*y**3 Find the second derivative of 0*k**5 + 2*k**5 - 3*k**5 + k wrt k. -20*k**3 Differentiate 1 + 3 + 0*g - 8*g**2 + 0*g with respect to g. -16*g What is the third derivative of 5*c**2 - 5 + 5 + c**3 + 2*c**2 wrt c? 6 Suppose -5*b = -2*h - 21, -9 = -5*b - 3*h - 3. Let z(d) = -d**2 - 8*d - 9. Let i be z(-6). Find the second derivative of f**i - 3*f**3 + 3*f**b + 2*f wrt f. 6*f What is the third derivative of -61*v**2 + 124*v**2 - 61*v**2 + 16*v**5 wrt v? 960*v**2 Let t = 14 - 12. Find the second derivative of 6*w**3 - w**3 + 3*w**t - 5*w - 3*w**2 wrt w. 30*w Let m(w) be the second derivative of -29*w**6/30 + 5*w**2 + 24*w. What is the first derivative of m(r) wrt r? -116*r**3 Find the first derivative of -3 + 3*u**2 + 11*u**3 - 7*u**3 - 3*u**2 wrt u. 12*u**2 Let h(x) be the first derivative of x**5/10 + x**2 + 5*x + 2. Let u(a) be the first d
{ "pile_set_name": "DM Mathematics" }
qrt(72) + (sqrt(72) - (sqrt(72) + -1 + sqrt(72))*1) - sqrt(72))) + 2 - ((sqrt(72) - (5 + sqrt(72) + 0)) + 5))*-6 + -1)*1)**2. 1008*sqrt(2) + 10417 Simplify 5*((sqrt(128) + sqrt(128)*-2)/sqrt(4) - (2 + sqrt(128)) - (sqrt(48)/sqrt(2)*-1)/(-3*sqrt(300)))**2. 724*sqrt(2)/3 + 66422/45 Simplify (sqrt(684) - (sqrt(684) + 1 + sqrt(684))*-6) + -2 + (sqrt(684) + 1 + sqrt(684))**2 + 3 + (-1 + -1 + sqrt(684) + sqrt(684) + sqrt(684))**2*1 + -4. 30*sqrt(19) + 8900 Simplify (-5*sqrt(117) + ((sqrt(65) - 3*sqrt(65)) + sqrt(65))/sqrt(5) - (-5 + -1 + sqrt(117) + sqrt(117))*-3)*-5. -10*sqrt(13) + 90 Simplify (((1*sqrt(252)/sqrt(252))/(sqrt(84)/(sqrt(7)*2) + sqrt(12) + sqrt(24)/sqrt(32) + sqrt(12)) + 5)*-2)**2. 80*sqrt(3)/33 + 36316/363 Simplify (sqrt(210)/(2*sqrt(360)))/(3*5*sqrt(448))*1. sqrt(3)/1440 Simplify (1*(sqrt(77) - -2*sqrt(77)*-6)*3)/(((sqrt(420)*-2)/sqrt(12))/(sqrt(20)*2 - sqrt(5))). 99*sqrt(11)/2 Simplify (-4*(1 + sqrt(80) + sqrt(80) + (sqrt(5) + -2)*1))**2 - 6*((sqrt(605) + -5)**2 + -2). 372*sqrt(5) + 2728 Simplify -1*(2 + (sqrt(180) + (sqrt(180)*-1)**2 + -1 - (0 + sqrt(180))*3) + ((6*(sqrt(180) + 1) + 0)*1)**2)*5. -33485 - 2100*sqrt(5) Simplify (-1*3*sqrt(7) + sqrt(1512)/sqrt(6) + (sqrt(77) + (sqrt(77) - (sqrt(77) - -1*sqrt(77)*5)))/(sqrt(1584) + sqrt(1584)*2))**2. 4732/81 Simplify (-1 + (3*(sqrt(1008) - -1*sqrt(1008)))/(sqrt(27)/(sqrt(3) - (2*sqrt(300) + sqrt(3) - sqrt(3)))))**2. 912*sqrt(7) + 1455553 Simplify (5*-4*(0 + (-1 + sqrt(304))*2 + -5 + 5))**2. -12800*sqrt(19) + 488000 Simplify (((-2*sqrt(2560))/sqrt(4))/((-3*sqrt(20)*-2)/sqrt(4)))**2*-5. -640/9 Simplify -4 + ((sqrt(64)/(sqrt(36) - sqrt(4)) + -3*1*sqrt(16))*-1)/(((sqrt(24) + sqrt(384))*-5)/(2*sqrt(432))). -4 - 12*sqrt(2)/5 Simplify -1 + 2 + 2 + sqrt(396) + ((-1*sqrt(77)*6 - sqrt(77) - sqrt(77))/sqrt(7) - ((-2*sqrt(704) + -3 - sqrt(704) - sqrt(704)) + sqrt(704))**2). -6342 - 146*sqrt(11) Simplify ((-2*sqrt(352)*1)/(sqrt(648)*-2) - 1*(4 + 2*sqrt(1584)))**2. 1712*sqrt(11)/9 + 505052/81 Simplify ((0 + (sqrt(539) - (0 + sqrt(539))) - (sqrt(539) - (sqrt(539) + -3)*-3)) + (sqrt(539) - (sqrt(539) + 1 + sqrt(539) + 1) - sqrt(539)) + 0 + 4)**2. -924*sqrt(11) + 19525 Simplify (2*sqrt(99)*-2 - (2*sqrt(99) - sqrt(99))*-3)/((sqrt(81)*-1 + sqrt(1296)*-2)*-5). -sqrt(11)/135 Simplify (-3*(3 + sqrt(1539)*2 + sqrt(1539) - -2*sqrt(1539)*3 - -6*((1*sqrt(1539) - sqrt(1539)) + 3 - -1*sqrt(1539)*-1)))**2. 10206*sqrt(19) + 128628 Simplify (-4 + 6*(4 + (sqrt(13) - sqrt(13)*1)) + -2 + 3 + (sqrt(91) + (sqrt(91) - (2*sqrt(91) - sqrt(91))))/sqrt(7) + (sqrt(1053) + 0 - sqrt(13)))**2. 378*sqrt(13) + 1494 Simplify 3*(sqrt(156) + 1*(sqrt(156) - sqrt(156)*-3) + sqrt(156) + 4*(sqrt(156) + (sqrt(156)*1 - sqrt(156)) + sqrt(156)))/(3*sqrt(768)*2*-3). -7*sqrt(13)/24 Simplify ((sqrt(612)*2*4 - (sqrt(612) - -5*(sqrt(612) + -2)))**2 + 4)*3. 720*sqrt(17) + 7656 Simplify (-6*((sqrt(84)*-1 - sqrt(84)) + sqrt(84)*4))/((sqrt(24) + -2*sqrt(24)*6)/((sqrt(64)/sqrt(4))/sqrt(2) + sqrt(8))). 48*sqrt(7)/11 Simplify ((-4*-5*sqrt(3168)*4)/(1*-4*sqrt(275)*2))**2. 1152 Simplify 4 + (3*((-1 + sqrt(300))*-2)**2 - (sqrt(300) + 4 + 1 + 1)**2). -360*sqrt(3) + 3280 Simplify 1*(1*(sqrt(304) + -1*sqrt(304) + sqrt(304) + sqrt(19) + 2 + sqrt(19) + 1 - 2*(0 + (sqrt(19) - 1*sqrt(19) - sqrt(19)) + -3))*-6)**2. 5184*sqrt(19) + 46692 Simplify (6*sqrt(77)*-5 + -5*5*sqrt(77))/((sqrt(7) - (sqrt(49)*-5)/sqrt(7)) + sqrt(84)/sqrt(12)*4). -11*sqrt(11)/2 Simplify (((1 + sqrt(405) + 4)*5 + -5)*1*3*-1)**2. 16200*sqrt(5) + 94725 Simplify (-3*(sqrt(3) + sqrt(192)*1 - sqrt(3) - (sqrt(3) - (sqrt(18)/sqrt(6) + -3 + sqrt(3)))) + -2 + -4)**2. -162*sqrt(3) + 2196 Simplify (-2*(sqrt(243) + 1*sqrt(243) - sqrt(243)))**2 + (-3*(sqrt(243) + 3))**2 + ((-1 + sqrt(243) + -4 + (sqrt(243) + 0)*-3)*5)**2. 4986*sqrt(3) + 28165 Simplify (((sqrt(2048) - (sqrt(2048) - -1*(sqrt(2048) + -1))) + sqrt(2048) + -4 + 1 + 1)*-1 + 3)**2. 16 Simplify (-2*(1 + -5 + -3*sqrt(700)*4))**2*2. 7680*sqrt(7) + 806528 Simplify ((sqrt(726) + -3*sqrt(726) + sqrt(726) - sqrt(726))*3 - sqrt(726)*-3*4)/((-1*sqrt(1800))/(sqrt(9) - sqrt(324))). 33*sqrt(3) Simplify (0 + (2 + sqrt(208)*1 + (sqrt(208) + 0)*6 - (6*(sqrt(208) - -2*sqrt(208)) - (sqrt(208) + sqrt(208) + 2)*-2))**2)*-4. -187216 - 960*sqrt(13) Simplify (-3 + ((-1 + -3*sqrt(1008) + sqrt(1008) + sqrt(1008))*1 - ((sqrt(1008) - (3 + sqrt(1008))*-4) + 3))*5)**2. 59760*sqrt(7) + 914089 Simplify ((sqrt(245) - (sqrt(245)*-3 + -5))**2 - (-3 + 1 + sqrt(245)))*1 + -1 + -4. 273*sqrt(5) + 3942 Simplify (sqrt(800) + sqrt(800) + -3 + (sqrt(500) - (sqrt(500)*3 + sqrt(500) - sqrt(500) - sqrt(500)))/sqrt(10) - (-2*sqrt(200)*2 - (5 + sqrt(200)*-1)))**2. 260*sqrt(2) + 8454 Simplify (0 + ((sqrt(1300) - (-2 + sqrt(1300) + -5) - sqrt(1300)) + sqrt(1300) - -3*(sqrt(1300) + -3))*-3*1)**2. -1080*sqrt(13) + 105336 Simplify ((sqrt(72))**2 - sqrt(20)/sqrt(490)) + sqrt(32)*-5 + (sqrt(2)*-4 + sqrt(2) + 2)**2. -225*sqrt(2)/7 + 94 Simplify ((-3*sqrt(320)*1)/((1*sqrt(80))/sqrt(10)))/(-6*-1*sqrt(288) + sqrt(288) + (sqrt(288) - 1*sqrt(288))*4). -sqrt(5)/14 Simplify ((((sqrt(84) - (-2*sqrt(84) + sqrt(84)))*6)/sqrt(6))/(6*sqrt(56)/sqrt(2))*1)**2. 2 Simplify (sqrt(352) - sqrt(352)*1)/((sqrt(11) - sqrt(11)*-2)*-6) - 1*(3 + sqrt(200) + sqrt(200)*-1 - -6*(sqrt(200) + 1))**2. -7281 - 1080*sqrt(2) Simplify ((1*sqrt(48))/sqrt(12) + sqrt(4))/(sqrt(200)/sqrt(4)) - ((sqrt(2) - (0 + sqrt(50))) + (sqrt(8)/sqrt(4) + 0)**2 + 5). -7 + 22*sqrt(2)/5 Simplify (6*((sqrt(136)*2 - sqrt(136) - sqrt(136))*6 + sqrt(136) + -2*sqrt(136)*6))/((sqrt(64) + 4*sqrt(64)*1 + sqrt(64))/(sqrt(32)/sqrt(4)*-4)). 44*sqrt(17) Simplify 6*(sqrt(24) - sqrt(72)/sqrt(3)*5)/(sqrt(20)/(sqrt(10)*-2) + (sqrt(2) - (sqrt(32)*3 - sqrt(2)))) + -5. -5 + 32*sqrt(3)/7 Simplify 3*(6*(-1*sqrt(2) + 0 - sqrt(2) - (-5 + sqrt(18) - sqrt(2))) + sqrt(242) + sqrt(242) + 0 + 5 + (0 + sqrt(242) + 0)**2). -6*sqrt(2) + 831 Simplify (sqrt(156) + -5*(sqrt(156) + 1*sqrt(156)) + 4*sqrt(156)*4 + sqrt(156))/(-6*-4*sqrt(1452)*-3). -sqrt(13)/99 Simplify ((5 + sqrt(128) + sqrt(128)*-1 - sqrt(128)) + 0 + sqrt(128) + -1)**2 - 2*(2*sqrt(2) + -4 + (sqrt(288)/sqrt(9))**2 + 5). -50 - 4*sqrt(2) Simplify -3 + -1*((sqrt(19) - (sqrt(1900) - sqrt(19)))**2 + -5) - (1*((sqrt(19) - (sqrt(19) + 2 + 3)) + 0))**2. -1239 Simplify ((2 + -1 + sqrt(192) - sqrt(192)*1*-1)*-6 + 4 + -4*(1 + sqrt(192))*-6)**2. 4224*sqrt(3) + 28132 Simplify 2 + (sqrt(304)*-1 + -2 - sqrt(304) - (sqrt(304) - (0 + sqrt(304) + 3)**2) - (((0 + sqrt(171))**2 - sqrt(171))*6 + 3 + sqrt(171)*1)). -716 + 27*sqrt(19) Simplify ((sqrt(20)*2)/sqrt(4) + 0 + sqrt(5) + -2 - ((sqrt(540) - sqrt(15))/sqrt(3)*-1 + -2))**2. 320 Simplify (5*(-1*sqrt(135) + sqrt(135) - sqrt(135))/sqrt(3)*-4)/(sqrt(225) + sqrt(225)*1*-6 + (sqrt(225) + (sqrt(225) - 1*sqrt(225)))*6) + 5. 5 + 4*sqrt(5) Simplify (6*(sqrt(33)/(sqrt(192) + sqrt(3)) + -3*(sqrt(11) + -1)))**2 - (sqrt(121) + sqrt(121) + 3*sqrt(121)*2)/(5*-1*sqrt(11)). -3112*sqrt(11)/5 + 32660/9 Simplify (-6*(3 + sqrt(242) + 1))**2 + (sqrt(2) + sqrt(2) + (sqrt(6)/sqrt(3)*-4)**2 - (2 + sqrt(18))). 3167*sqrt(2) + 9318 Simplify (((4*(sqrt(252) - sqrt(252)*-2))/(4*sqrt(36) - sqrt(9) - sqrt(9) - sqrt(9)))/((sqrt(4) + sqrt(4)*1*-5)*6*-3))**2. 7/900 Simplify (6*(-5 + (sqrt(1331) - (sqrt(1331) + -1 + 1 + sqrt(1331))) + 4*(5 + 2*sqrt(1331)))*-5)**2. 2079000*sqrt(11) + 58899600 Simplify ((sqrt(520)/(sqrt(50)/sqrt(5)) + sqrt(52))/((sqrt(20)*-3)/sqrt(5)))**2 + (sqrt(13)*-3*2 + 4 + sqrt(13) + 3)**2 + 3. -70*sqrt(13) + 3445/9 Simplify (2*sqrt(700)*1 + sqrt(700) + -4 + 0 + sqrt(700) + (sqrt(700) - -2*(sqrt(700) - (1 + sqrt(700)))) + (1*sqrt(700) + sqrt(700) + sqrt(700))*1)**2. -960*sqrt(7) + 44836 Simplify ((sqrt(384)/(sqrt(24)/sqrt(3)) + 0 + 0 + sqrt(48))**2 + 5*(sqrt(48) - 1*sqrt(48) - sqrt(48))*-3 + 1)*-3. -579 - 180*sqrt(3) Simplify 0 + ((sqrt(24)/sqrt(32) + sqrt(12))/sqrt(6)*-3)**2 - (sqrt(1694)*3)/(-3*sqrt(112)). 11*sqrt(2)/4 + 225/8 Simplify -4 + -4*4*(-3*(sqrt(325) + (sqrt(325) - (0 + sqrt(325)) - sqrt(325)) + 3)**2 - ((1 + sqrt(325))*-2 - -4*(0 + sqrt(325)))**2). -640*sqrt(13) + 21292 Simplify 6*(-3 + -5*((sqrt(272) - (sqrt(272) + (1 + sqrt(272) - sqrt(272)))**2)*5 - (sqrt(272) + -2 + sqrt(272))*6)). 2040*sqrt(17) + 40572 Simplify -2*(sqrt(55) + 1*sqrt(880))/((sqrt(44)/sqrt(2))/sqrt(2))*5*-1. 50*sqrt(5
{ "pile_set_name": "DM Mathematics" }
-3*j + 8. Let f = j + -1. Suppose 2*v + 1 - 7 = 0. Calculate the lowest common multiple of f and v. 6 Let o = -7 + 12. What is the lowest common multiple of 12 + 1/(4/(-16)) and o? 40 Let h = 2575/13 - 198. Let p = 47493/8 + -5926. Find the common denominator of h and p. 104 Let k(t) = 7*t - 6. Let z = 15 - 3. What is the least common multiple of z and k(4)? 132 Calculate the common denominator of ((-7)/(-6))/(-1)*-9 and -3/16. 16 Find the common denominator of (-108)/(-15) - (-5)/(-25) and 17/8. 8 Suppose 6 = 2*k + k. Suppose -k*h + 3*h = 6. Let c = -405 - -416. Calculate the lowest common multiple of c and h. 66 Let z(f) = -7*f + 2. Let i be 28/(-21)*(-1 + -59). Calculate the lowest common multiple of ((-2)/5)/((-4)/i) and z(-2). 16 Let t = -2 - -9. Let q(x) = -x**2 + 8*x - 9. Let k be q(t). Find the common denominator of (-4)/k - 43/(-9) and -58/5. 45 Let d(h) = h**3 + 5*h**2 - 10*h - 14. Calculate the smallest common multiple of 22 and d(-6). 110 Let s(j) = 2*j**3 - j**2 + 2*j - 2. Let f be s(2). What is the smallest common multiple of (-16)/6*(-30)/4 and (-1)/(27/f + -2)? 140 Let j(v) be the third derivative of v**4/24 - 3*v**2. Let o be j(6). Suppose 0*t + 3*t - o = 0. Calculate the smallest common multiple of 16 and t. 16 What is the common denominator of 3*((-114)/(-26) + -3) and 9/10? 130 What is the common denominator of 3 + (-2)/((-28)/(-71)) and 89/20? 140 Suppose 0*d - 55 = -5*d. Let c = -8 + d. Calculate the lowest common multiple of 5 and c. 15 Let u = -12281/15 - -4865/6. Find the common denominator of u and 1 - (-21)/2 - -1. 10 Let v be 2*1*4/(-4). Suppose -32 = -2*z - 2*z. What is the lowest common multiple of v*(2 + -1)*-2 and z? 8 Let w = -4 - -12. Let i = w - 2. What is the least common multiple of 8 and i? 24 Let f = 24463818 + -1614661309/66. Let y = f + 2230/3. Find the common denominator of -17/22 and y. 22 Suppose 0 = 3*f - 2*f + 1. Let r be f + 2 + -2 + -16. Let s = -11 - r. Calculate the least common multiple of 20 and s. 60 Let l = 4 - 1. Suppose -7*r = -l*r - 40. Calculate the smallest common multiple of 22 and r. 110 Let l = 29 - 44. Let n = 9 + l. What is the lowest common multiple of 5 and (2/n)/(1/(-6))? 10 Let x be 1 + -1 + (-4 - -2). Find the common denominator of x/(-36)*-103 + -2 and 6/15 + (-98)/(-40). 180 Let g(v) = v + 3 + v**3 - 2*v + 3*v**2 + 3*v**3. Let a be g(3). Find the common denominator of a/(-8)*6/(-20) and -27/4. 16 Let g(m) = -3*m - 1. Let w be g(-1). Suppose -w = -3*z + 4. Calculate the lowest common multiple of z and (2 - 3) + 1*3. 2 Suppose -2*l - 8 = -5*g, l - 10 = -3*g - 3. Let s be (-11727 + g)*(-1)/6. Let q = s + -1930. Calculate the common denominator of q and -22/7. 42 Let w(y) = -3*y. Let l(p) = -1. Let q(z) = 4*l(z) - w(z). What is the smallest common multiple of 18 and q(8)? 180 Suppose -2*d + 4*d - 20 = 0. Suppose 4*v - 2 - 6 = 0. Calculate the lowest common multiple of d and v. 10 Calculate the common denominator of 43/3 and (9*3)/(-20 - -13). 21 Let p be ((-15)/(-2))/(18/24). Suppose -8 = -f + p. What is the least common multiple of (-2 - 1) + (16 - 1) and f? 36 Let f = -17 - -39. Let y(s) = 2*s**2 + s - 3. What is the least common multiple of f and y(-3)? 132 Let h = -4805/9 - -542. Calculate the common denominator of ((-2)/14)/(30/(-2065)) and h. 18 Let m be (2 + 16)*46/174. Let r = 2873/232 - m. Find the common denominator of r and ((-93)/16)/(25/20). 40 Let y = 3710587 + -29638927/8. Let z = y - 5712. Find the common denominator of 4 - (2/(-4) + (-36)/(-7)) and z. 56 Let w be 80/(-2)*86/(-4). Suppose 2*y + 3*h = -y - 117, 3 = h. Calculate the common denominator of (1/10)/(16/w) and y. 8 Let m(q) = -4*q**3 + q + 1. What is the least common multiple of m(-1) and 4? 4 Let v = -618/193 - -57197/14668. Find the common denominator of v and -75/16. 304 Suppose -5*i = -l - 4*l + 45, -5*l = -3*i - 37. Let r(k) = 3*k**2 - 2. Calculate the smallest common multiple of l and r(-1). 5 Let p(i) = -15*i**3 + 2*i**2 - 1. Let q be p(-1). Suppose f + f = q. What is the lowest common multiple of (-2478)/(-112) + (-2)/16 and f? 88 Suppose o + 3*w = 11 + 1, -o - 20 = -5*w. Suppose t - 4*t + 6 = o. Let x = 8 + t. What is the least common multiple of 20 and x? 20 Let w = -7800 - -171515/22. Find the common denominator of -95/6 and w. 66 Suppose 0*f + f = 17. Suppose -b + f = -3*y, -b - 3*y - 4 = -27. Calculate the lowest common multiple of b and 20. 20 Let n = 523/5 + -477/5. Find the common denominator of -13/8 and n. 40 Suppose 0 = -7*t + 17 + 11. Suppose -2*l - 3*l - g = -35, -3*l - g = -19. Suppose 0*b = -b + l. Calculate the smallest common multiple of b and t. 8 Suppose 3 = f + 31. Let v = -16 - f. What is the smallest common multiple of v and 2? 12 Let m(u) = u**3 + 6*u**2 + 2*u - 7. Let r = 0 - -20. Let y = r - 11. Calculate the least common multiple of m(-5) and y. 72 Suppose 0 = y - 2 - 0. Suppose 5*d - 10 = -3*u, -4*d - y = -5*d - u. What is the lowest common multiple of 7 and d? 14 Suppose 0*b - 8 = -b. Suppose 29 = -c + 9. Let f = c + 34. Calculate the lowest common multiple of f and b. 56 Let t(c) = c - 6. Let v be t(8). Let y = 1 + v. What is the common denominator of y/(3*-9)*-201 and 109/10? 30 Let n(t) = -6 + 2*t + t - 2*t. Calculate the lowest common multiple of 11 and n(13). 77 Let q = -86581/16 + 5416. What is the common denominator of q and -15/7? 112 Suppose 0 = -3*p - 3, -3*f - 2 - 7 = -3*p. Let u(g) = g**3 + 4*g**2 - 2*g + 4. What is the least common multiple of 5 and u(f)? 60 What is the lowest common multiple of 12 and ((-10)/10)/(-1 + (-14)/(-15))? 60 Let v = 3151 - 15812/5. What is the common denominator of v and 119/10? 10 Let b = -65788503/7 - -74998868767/7980. Let m = b + 4/665. Find the common denominator of -29/20 and m. 60 Let c be ((-6)/2)/((-1)/(-3)). Let a(k) = -k**2 - 9*k + 2. Let x be a(c). What is the common denominator of 47/3 and (2/12)/(x/(-112))? 3 Let g be 6/(1/(6/(-9))). Find the common denominator of (51/g + -4)*2 and 67/15. 30 Let m(i) be the first derivative of -i**2/2 + 7*i - 3. Suppose -2 = -2*l - 2*b + 6, -4*b = -3*l - 2. Calculate the smallest common multiple of l and m(-9). 16 Let i be (2/(-4))/((-6)/12). What is the common denominator of 7/2 and (15 - i)/((-16)/(-12))? 2 Suppose 3*v + u - 49 = 0, -3*v + 51 = -3*u - 18. Calculate the lowest common multiple of 24 and v. 72 What is the least common multiple of 10 and 50/6 - 4/12? 40 Suppose -16 = -4*a + 12. Calculate the smallest common multiple of a and 4. 28 Suppose 7*j + 3*g - 14 = 2*j, 5 = 2*j + g. Let x be (26/(-5))/((-3)/15). Let y = -18 + x. Calculate the lowest common multiple of j and y. 8 Let b be 0 - (1 + -1) - -29. Suppose i + 2*r - 6*r = -16, -b = 5*i - 3*r. Find the common denominator of 25/12 and (-18*(-23)/i)/(-3). 12 Let s = 7569/4 + -1882. What is the common denominator of -71/10 and s? 20 Find the common denominator of 9*(-3)/(-180)*(-24)/27 and -53/12. 60 Let w(z) be the first derivative of -z**4/4 - 8*z**3/3 + 9*z**2/2 + 12*z - 4. What is the least common multiple of 8 and w(-9)? 24 Let m = 2234/1947 - 10/177. Find the common denominator of m and -75/2. 22 Let i be (-36712)/(-35) - (-2)/7. Let d = 1057 - i. What is the common denominator of -79/4 and d? 20 What is the common denominator of ((-16)/55)/((-2)/5) and -92/15? 165 Suppose 0 = 3*g + 5*g - 16. Calculate the lowest common multiple of g and 22. 22 What is the common denominator of ((-32)/(-80))/(10*-1) and -121/30? 150 Suppose -4*p - p + b = -50, 0 = -5*p + 3*b + 60. Calculate the lowest common multiple of 10 and p. 90 Suppose f + 1 = 53. Let q = f + -360/7. What is the common denominator of 97/6 and q? 42 Let r = -5 + 2. Let x = 445 - 4890/11. Calculate the common denominator of x and (r/(-10))/(8/500). 44 Let q(n) = -n**2 + 4*n - 3. Let t be q(-7). Let g = t - -1151/14. Find the common denominator of (2 - 1) + 61/10 and g. 70 Let u = -6/2803 + -103591/56060. Suppose 24 + 72 = -2*x. Find the common denominator of u and (-590)/x + (-4)/6. 40 Let b = -47 - -87. What is the smallest common multiple of 16 and b? 80 Let t = 9485/468 - 2/117. Let q = 943/4 - 260. Find the common denominator of q and t. 4 Suppose -f - p + 21 = 0, 4*f - p + 0*p = 69. Let t be (-1)/3 + 39/9. Suppose -3*a - r = -16, a + 1 = -t*r - 1. Wha
{ "pile_set_name": "DM Mathematics" }
2*v + 29 = 0. Let m(n) = n**3 + 7*n**2 - 2. Determine m(r). -2 Suppose 0 = 5*u + 4*p - 35 + 4, -3*u - 3*p + 21 = 0. Let s(a) = u*a**2 - a**3 - 2*a + 2*a**3 - 4 - 5*a + a**2. What is s(-5)? 6 Let p = -374 - -367. Let x(c) = -c**2 - 4*c + 9. What is x(p)? -12 Suppose 26*p + 55 = -101. Let m(w) = -4*w**3 - 4*w**2 - 3*w + 1. Let l(x) = 5*x**3 + 3*x**2 + 2*x. Let u(q) = -3*l(q) - 4*m(q). Calculate u(p). -4 Let g(u) = -u**3 - 4*u**2 + 3*u + 5. Suppose -2*o - 4*t + 64 = 3*o, -t - 52 = -3*o. Let r be o/(-2)*(-15)/(-30). What is g(r)? -7 Let m(a) = -a**3 - 17*a**2 - a - 10. Let u(b) = b**3 + 19*b**2 + 2*b + 11. Let o(t) = -7*m(t) - 6*u(t). What is o(-6)? -2 Let z(t) = -3*t - 9. Let g(v) = 7*v + 18. Let h(o) = 2*g(o) + 5*z(o). Suppose 0 = -7*m - 38 - 11. Give h(m). -2 Suppose -3*z = 2*z - 25. Let j(w) = 3 + 9*w - 5*w**2 + w**3 - 3*w - z*w - 2*w**3. Let m(k) = k**3 - k - 5. Let l be m(0). Determine j(l). -2 Suppose -41*s = -77*s + 396. Let f(u) = -u**2 + 10*u - 12. What is f(s)? -23 Let k(x) = -x**2 + 8*x + 1. Let f = -7 - -14. What is k(f)? 8 Let p(w) be the first derivative of -w**2/2 + w + 12. Let z(d) = 12*d - 5. Let j(m) = 6*p(m) + z(m). Let n(a) = -2*a**3 + 2*a - 1. Let l be n(1). What is j(l)? -5 Let b be (35/(-21))/((-3)/(-108)*-10). Let j(i) = -i**3 + 6*i**2 + 2*i - 14. Determine j(b). -2 Let o(r) = -21*r - 65. Let h be o(-6). Suppose 0 = -9*d - h + 7. Let n(t) = -t**2 - 7*t + 3. What is n(d)? 9 Let j(s) = -4*s - 3. Let g(x) = 4*x - 127. Let r be g(33). Determine j(r). -23 Let w = -98 - -97. Let n(k) = k**3 + 3*k**2 + 5*k + 4. Let u(o) = -14*o - 5*o**2 - 2*o**3 - 3*o**2 - 11 + 0*o**2. Let i(a) = -8*n(a) - 3*u(a). Give i(w). 1 Let v(s) be the third derivative of s**5/60 + s**4/2 + 13*s**3/6 - 588*s**2. Give v(-11). 2 Let a(s) = s**3 + s**2. Let v(u) = 3*u**2 + 8. Let b(y) = -3*y**2 + y - 7. Let r(c) = 6*b(c) + 5*v(c). Let t(q) = a(q) - r(q). Give t(-5). 7 Let u(r) be the first derivative of -r**4/4 - 5*r**3/3 - r**2/2 - 7*r + 270. Determine u(-5). -2 Let g(s) = s + 3. Let l(i) = -54*i**3 - i**2 - i. Let j be l(-1). Let y be 252/j*(-6)/(-4). Determine g(y). 10 Let j(n) = n. Suppose -o + k - 2 = 0, 6*k - 3*k - 2 = o. Let x be 204/48 + o/8. Calculate j(x). 4 Suppose 0 = 3*n - 4*n. Let k(m) be the second derivative of -m**5/120 - m**4/4 - m**3/6 - 3*m. Let q(z) be the second derivative of k(z). Determine q(n). -6 Let x(r) = r**2 - 4*r**2 + 4*r**2 + 2 + 0*r**2. Let a = 6 - 1. Suppose -a*y + 0*y = 0. Give x(y). 2 Suppose y = -b - 3, 5*b - 15 = -8*y + 13*y. Let v(t) = t**2 + t + 9. Calculate v(b). 9 Let a = 46 - 32. Let h(g) = -a + 14 - g**2 - g**2. Calculate h(2). -8 Let p(x) = -x + 5. Let y be -21*(-3 - (-40)/12). Let i be y/(-3) - 4/12. Suppose -i*g + 4 + 2 = 0. Calculate p(g). 2 Let i = -55 + 58. Let c(d) = -i*d**2 + 2*d + d + 4*d**2 + 7*d + 10. Suppose 0*m - 4*m = 32. Give c(m). -6 Suppose -12 = -4*p - 4*x, -4*p - 2 = 5*x - 14. Let l(y) be the first derivative of 6 - 1/4*y**4 - 2*y**2 + 3*y + 4/3*y**3. Determine l(p). 0 Let w(u) = -u**2 + 551*u + 3 + 0 - 272*u - 277*u. Give w(2). 3 Let l be 20/14*98/35. Let k(x) = 3*x + 1. Determine k(l). 13 Let o(n) = 6*n - 9. Let a(r) = 7*r - 10. Let f(g) = 5*a(g) - 6*o(g). What is f(-13)? 17 Let v(b) = -6*b + 72. Let s be v(14). Let a(q) = -q**2 - 11*q + 9. Give a(s). -3 Let k(b) = -b**3 + 8 - 10 + 2*b**2 - 3*b**2 - 2*b - b**2. What is k(-3)? 13 Let d = -6 - -4. Let n(m) = -13 + 41 + 6*m - 15 - 11. Give n(d). -10 Let s(c) be the second derivative of 0 - 8*c + 2*c**2 + 1/6*c**3. What is s(-6)? -2 Suppose -3*i + 8 = 2*x, 7*i = -4*x + 4*i + 4. Let a = 8 - 6. Let d(b) = 4*b**a - 3*b + b - 3*b - 2 + 6*b. Determine d(x). 12 Let b = -33 + 59. Suppose 0*k = k - b. Suppose -23*g + k*g = 18. Let f(r) = -r**3 + 5*r**2 + 6*r + 7. Give f(g). 7 Let i(s) be the first derivative of -s**3/3 + s**2/2 + 119. Give i(5). -20 Let s(z) be the second derivative of z**5/20 - 7*z**4/12 - 7*z**3/6 - 9*z**2/2 - 6*z. Suppose -35 + 7 = -4*k - t, -k - 3*t - 4 = 0. Give s(k). -1 Suppose -9*q = -902 - 70. Let z = q + -103. Let f(u) = -u**2 + 6*u - 3. What is f(z)? 2 Let x(u) = 3*u**3 - 12*u**2 + 13*u + 6. Let h(j) = j**3 - j**2 - j + 5. Let b(y) = 2*h(y) - x(y). Determine b(8). 12 Let p(h) = 13*h**2 + 9*h + 8. Let j(t) = 2*t**2 + 2*t + 1. Let b(s) = -6*j(s) + p(s). Calculate b(6). 20 Let o = 3 - 0. Let m(n) = 4*n**3 - 6*n**2 - n**3 + 10 - 65*n + 72*n. Let g(b) = -b**3 + 2*b**2 - 2*b - 3. Let x(q) = -7*g(q) - 2*m(q). Calculate x(o). 10 Let a(w) = -2*w - 2. Let o(h) = 4*h + 3. Let g(p) = -5*a(p) - 3*o(p). Let j(q) = 3*q**2 - 4*q**2 + 1 - q**3 + 3. Let u be j(0). What is g(u)? -7 Let c(u) = -6*u - 23. Let o(y) = 3. Let x(g) = c(g) - 4*o(g). Calculate x(-7). 7 Let z(v) = -v**2 + 4 - 2*v - 7*v + 10*v. Let h(a) = a**2 + 32*a + 3. Let d be h(-32). Determine z(d). -2 Let j(i) = -i**3 - 5*i**2 + i + 3. Let u be (1 + 2)/((-144)/240). What is j(u)? -2 Let m(v) = -2 - v**3 - 1 - 2*v + 5*v**3 - 3. Suppose 0 = -b + 4*b + 15. Let a(w) = w**3 + w**2. Let l(o) = b*a(o) + m(o). Give l(-5). 4 Let q(o) = 7*o + 9. Let g(b) = -10*b - 11. Let v(i) = 11*i + 12. Let j(l) = -4*g(l) - 3*v(l). Let m(k) = -6*j(k) + 5*q(k). Suppose -a = -0 + 2. What is m(a)? 11 Let h be -1*1*(490/315)/(2/(-9)). Let q(d) = -2*d - 6*d**2 + 6 + d**3 - 7*d + 0*d**3. Determine q(h). -8 Suppose 4*x = -4*o - 16, 5*o = 4*x - 30 - 17. Let w(u) = 7*u. Calculate w(o). -49 Let s(o) = -o - 28*o**2 - 36*o**2 + 70*o**2 - 7*o**2. Determine s(-2). -2 Let h be (-1)/((-2)/(-6) + 0). Let g be (0 - 2)*(-15)/30. Let r be g/((-16)/5 - h). Let x(o) = 3*o + 3. Give x(r). -12 Let f be 18/(-4) + 5/10. Let y(s) = -368 + 2*s - 365 + 1103 - 366. Give y(f). -4 Suppose -3*c = -2*c - i + 4, 0 = -4*c + 3*i - 11. Let l(u) be the first derivative of u**2 - 188. What is l(c)? 2 Let d(f) = f**3 + 14*f**2 + 19. Suppose -x - 18 = -4*i + 16, -3*i + 29 = -x. Give d(x). 19 Let x(a) = 5*a - 17. Let p(o) = 6*o - 17. Let l(q) = -4*p(q) + 5*x(q). Determine l(7). -10 Let o be 63/(-18)*4/(-7). Let j be -2*o/(-12)*-21. Let q(m) = -m**2 - 8*m - 3. Determine q(j). 4 Let r(s) = -s**2 - 9 + 6*s**2 - s**3 + 15 + 5*s. Let y(z) be the second derivative of -z**5/20 + z**4/4 + z**3/6 + 3*z**2/2 - 4*z. Let a be y(3). Give r(a). 0 Let y(z) = 13*z + 3. Suppose 0 = 4*w - 28*w - 72. Determine y(w). -36 Let q(d) = -7*d - 1. Let w(a) be the third derivative of a**6/120 + a**5/6 + 11*a**4/12 + 5*a**3/6 - 2*a**2 - 10. Let i be w(-7). Calculate q(i). 13 Let x(a) = -4*a - 6. Let w = 1 + 1. Suppose -h = -5*i - 28, 2*i + 5*h - w*h = -18. Determine x(i). 18 Let i(t) = -4. Let z(u) = u + 11. Let q(d) = 8*i(d) + 3*z(d). Determine q(3). 10 Let m(y) = y**2 - 4. Suppose 2*a - 5 = -1. Let l be 1 + 5 + a - 1. Suppose -2*j + l = 1. What is m(j)? 5 Suppose i + 22 = 2*n, n = -n - 4*i + 22. Let t = -8 + n. Suppose 1 - 16 = -t*b. Let u(h) = -h**3 + 6*h**2 - 5*h + 6. Calculate u(b). 6 Let x be 51/34 - 2/(-4)*1. Let f(i) = 2*i - 6. Determine f(x). -2 Let o(f) = -f - 11. Let h be 5/(-5) - (6 - 1). Calculate o(h). -5 Let h(z) be the second derivative of 3/2*z**3 + 16*z + 0 - 1/12*z**4 + 6*z**2. Give h(10). 2 Let d(r) be the second derivative of 1/20*r**5 + 1/6*r**3 - 1/2*r**2 + 0 - r - 1/4*r**4. Suppose -21*z + 79 = 16. What is d(z)? 2 Let w(c) = c**2 + c + 2. Let u be w(0). Let b be u/5*(-5 - -10). Let y(p) = p**b + 9 - 2*p**2 - 2 + 4*p. Give y(5). 2 Let v(s) = -s + 1. Suppose -m + 2 = m. Let y(f) = -2. Let q(l) = m*y(l) - v(l). Let x = 25790 + -25787. Calculate q(x). 0 Suppose -4*g + 13 = -g + 5*t, -4*g = -3*t - 27. Let h(s) = 1 + 4 + 15*s - g*s - 8*s. Give h(-5). 0 Let j(m) = -1. Let o(l) = -l**2 + 7*l + 8. Let i(f) = -4*j(f) - o(f). Suppose 5*c + 4*w - 8 = 18, -c = -3*w - 9. What is i(c)? -10 Let j be -37 - -48 - 4*2. Let i(t) = t**2 - 3. What is i(j)? 6 Suppose -5*y - 14 = p, 2 = 4*y - p + 15. Let u(v) = 3*v**2 - 2*v + 3. What is u(y)? 36 Let j(x) be the second derivative of -x**5/60 + x**4/4 + 2*x**3/3 + 5*x**2/2 + 7*x. Let v(u) be the first derivative of j(u). Determine v(7). -3 Let i(t) be the first derivative of t**4/4 - 10*t**3/3 + t**2/2 - 7*t - 143. Calculate i(10). 3 Suppose -2*w = 7 - 21. Let l = -13 + w. Let f(a) = -2*a - 7. Let d(v) = -3*v - 10. Let b(t) = -5*d(t) + 8*f(t). Give b(l). 0 Let y = 3 + 1. Suppose y*g - f - 3*f - 16 = 0, -5*g + 20 = 4*f. Let m(
{ "pile_set_name": "DM Mathematics" }
4*sqrt(3)/5 Simplify ((sqrt(1782) + 1*sqrt(1782))/sqrt(11))**2 + sqrt(162)*-1 + sqrt(2) + (sqrt(10) + sqrt(10)*-2)/sqrt(5) + -2 + -2 + (sqrt(192)*-1)/sqrt(6). -13*sqrt(2) + 644 Simplify 3*(1 + 4 + (3*(-1 + sqrt(891)) + 0)**2*-5). -120405 + 2430*sqrt(11) Simplify ((-3 + (sqrt(832)*2 - sqrt(832)))**2 - sqrt(832) - (sqrt(832) - (-4 + sqrt(832)*2)) - 1*(sqrt(832)*-1*3)**2)*-6*5. 1440*sqrt(13) + 199530 Simplify 2*((sqrt(600)/sqrt(40))/((sqrt(24)/sqrt(2) + sqrt(12) - sqrt(12))*2)*6*4*3)**2. 3240 Simplify -2 + 3 + -6*3*-3*(sqrt(44)/sqrt(4) + 5). 54*sqrt(11) + 271 Simplify ((sqrt(363) + 2 + sqrt(363))*3 + -1*sqrt(363) + 1 - ((sqrt(363) + 1 + sqrt(363) + 0 + 3*2*sqrt(363) + sqrt(363))**2 + -2))*-1. 143*sqrt(3) + 29395 Simplify ((-1 + (3*sqrt(3) - sqrt(3))**2 + -2 + sqrt(432))*-6 + -1)*-5*-3. -1080*sqrt(3) - 825 Simplify 2*((sqrt(2016) - sqrt(2016)*-2)*-6)/((sqrt(200) + 1*sqrt(200) + sqrt(200))*-5)*5. 72*sqrt(7)/5 Simplify 6*(((sqrt(72) + 2*sqrt(72))/sqrt(12))/(1*sqrt(6)/sqrt(3)) - (-4 + (sqrt(3) + sqrt(21)/(sqrt(14)/sqrt(2)))*-6))**2. 720*sqrt(3) + 4146 Simplify (-4 + -1*sqrt(4032) + sqrt(28))**2*4 + -1 + 3 + (sqrt(28) - (-1 + sqrt(112)) - sqrt(28)). 700*sqrt(7) + 13619 Simplify (2*sqrt(65)*-1)/(sqrt(50)/(sqrt(10)*1)) - ((-3*4*sqrt(1573))**2 + 4). -226516 - 2*sqrt(13) Simplify (sqrt(170)*-1*4 - (sqrt(170)*-1*-5 - sqrt(170)))/((2*(-2*sqrt(70) - sqrt(70) - sqrt(70)) + sqrt(70))/(sqrt(847)*1)). 88*sqrt(17)/7 Simplify (-1*sqrt(3630) + sqrt(30) - (-2*sqrt(300))/sqrt(10))/((sqrt(210)/(-1*sqrt(7)))/(sqrt(20)/(sqrt(8)/sqrt(2)))). 8*sqrt(5) Simplify (sqrt(726) + (sqrt(726) + (sqrt(726)*2 - sqrt(726))*4 + sqrt(726) - sqrt(726) - sqrt(726)))/(sqrt(32) - (-5*sqrt(2048) + sqrt(32))). 11*sqrt(3)/32 Simplify (1 + -2 + (sqrt(700) - (5 + 1 + sqrt(700))) + sqrt(700) + (1*sqrt(700) + sqrt(700))*2 + -2 + -1 + (sqrt(700)*2 - sqrt(700)))**2. -1200*sqrt(7) + 25300 Simplify (6*(1 + sqrt(700) - sqrt(700)) - (sqrt(343) + 0 - (sqrt(7) + sqrt(77)/(sqrt(33)/sqrt(3)))) - (-1 + 4 + -1*sqrt(1008)))**2. 42*sqrt(7) + 352 Simplify (2*(5 + 1*sqrt(475) + 5 - ((sqrt(475) + 1)*6 - (sqrt(475) - (sqrt(475) + -1)*-4 - sqrt(475) - sqrt(475) - sqrt(475)))))**2. 17100 Simplify ((6*3*(sqrt(245) + sqrt(245)*2) - (4 + sqrt(245) + 2 + sqrt(245)*-1)) + 2)**2. -3024*sqrt(5) + 714436 Simplify (4*(sqrt(2736)*-2 + -1 + sqrt(2736) + -1 + 1 + 1 + (sqrt(2736) + -1 + 0 - sqrt(2736)))*6)**2. 13824*sqrt(19) + 1576512 Simplify (sqrt(64)/sqrt(8) - sqrt(2))*1 + -5 + (sqrt(50) + sqrt(800) + 1 - (-2*sqrt(50) + 5))**2. -279*sqrt(2) + 2461 Simplify -5 + (0 + (sqrt(125) + 1)*3)**2 + (6*(sqrt(10)/sqrt(2) + -4) + -6*(4 + (sqrt(5) + 2*sqrt(5) - sqrt(5))))**2. 666*sqrt(5) + 3613 Simplify 2*((sqrt(240)/(3*sqrt(768)))/(4*-3*sqrt(1440)))**2. 1/2985984 Simplify (6*-2*sqrt(931) - (sqrt(931) - (sqrt(931) + -1 + -3))) + 5 - (1 + (0 + -2 + sqrt(931)*1*6)**2). -33520 + 84*sqrt(19) Simplify (-2*(-6*(sqrt(3) + -1) + 1 + -3))**2 + ((sqrt(84) - 4*(sqrt(84) + sqrt(84)*2)) + sqrt(84) + sqrt(84))/(sqrt(1008)*1). -387*sqrt(3)/2 + 496 Simplify 1 + (-3 + (1 + sqrt(847))**2)*-6 + -5 + -2 + (5 + sqrt(7) + sqrt(7) + -2 + sqrt(7))*6. -5058 - 114*sqrt(7) Simplify ((-2*(6*sqrt(68) + sqrt(68))*1)/(sqrt(484) - (-2*(sqrt(484) + 1*sqrt(484)) - sqrt(484))))**2. 833/1089 Simplify -4*(0 + 3*sqrt(300)*2 + sqrt(300) + -1)**2*6*3*6. -6350832 + 60480*sqrt(3) Simplify 6*(((sqrt(2736) - (-2*sqrt(2736)*-6 - sqrt(2736)))*-5)**2 - (4 + (-1*sqrt(2736))**2)*-1). 41056440 Simplify (-1 + (sqrt(1331)*-2)**2 - (sqrt(1331)*-2*4)**2 - (-2 + -6*-2*sqrt(11) + 0))*-1. 12*sqrt(11) + 79859 Simplify -1*((sqrt(832) + -2 - (sqrt(416)*2)/sqrt(8)) + -3)**2 + 1. -232 + 40*sqrt(13) Simplify -6*(5*(sqrt(10) + 2*sqrt(10)) + sqrt(10))/((-1*sqrt(16))/sqrt(8)) + (sqrt(35) + 1*sqrt(1715))/(sqrt(21)/(sqrt(9)/sqrt(3) + sqrt(3))). 112*sqrt(5) Simplify (0 + (sqrt(52)/sqrt(4)*4*6)**2 + 5*((sqrt(13) - sqrt(117)*-2)**2 + -4*2*sqrt(13)))*4. -160*sqrt(13) + 42692 Simplify (-2 + -3*(sqrt(475) + (0 + sqrt(475))*3))**2 + -4 + sqrt(931)*-1 + -5 + 2. 233*sqrt(19) + 68397 Simplify ((3 + ((sqrt(1377) - (sqrt(1377) - (sqrt(1377) + 1))*-6 - (sqrt(1377) + -2 + 2)) + -5)*2)*-6)**2. 12996 Simplify ((-1*sqrt(900))/(sqrt(15)/(sqrt(5)*-1)) - (-5 + 0 + sqrt(432) + -3))*4. -8*sqrt(3) + 32 Simplify (-3*(3 + -2 + -5 + 2*(sqrt(3328) + -2))*3)**2. -41472*sqrt(13) + 1083456 Simplify 1*(((-5 + sqrt(200)*2)*-3 + (2*sqrt(200)*4 + sqrt(200))*-6)*-5)**2. -450000*sqrt(2) + 18005625 Simplify -5*(sqrt(400)/(sqrt(8)*2 - sqrt(8)) + -4 + (1*sqrt(1250) + -5)**2). -6355 + 1225*sqrt(2) Simplify -5*2*sqrt(153)*2*2 - (0 + (sqrt(2057) + (1*sqrt(2057) + sqrt(2057) + sqrt(2057))**2*-2 - (sqrt(2057) + (sqrt(2057)*-1)**2)*4)). -87*sqrt(17) + 45254 Simplify (2*(-6*3*(sqrt(208) + 2) + -3 + (3 + -1 + sqrt(208) + 1 + sqrt(208))*5))**2. 6144*sqrt(13) + 55552 Simplify -6*((((sqrt(2299) + 0 - sqrt(2299)) + -3)**2 - (2*sqrt(2299))**2*2 - (sqrt(2299) + (sqrt(2299) - sqrt(2299)*2)**2*6)*4) + -1 + 4). 264*sqrt(19) + 441336 Simplify ((sqrt(3630)*-2)/sqrt(2))/(sqrt(6)/(sqrt(384)/sqrt(12)))*1 + -2. -88*sqrt(5) - 2 Simplify (-1*sqrt(7) + -1 + sqrt(7) - sqrt(3087) - (-2 + sqrt(175) + -1 + 1))**2. -52*sqrt(7) + 4733 Simplify 6*((-2*1*((sqrt(500) - -4*sqrt(500)*-2) + -5) + -1)**2 + 5). 15120*sqrt(5) + 588516 Simplify (-1 + (-2*(sqrt(132)/sqrt(3)*-4 + sqrt(2816)*-2 + sqrt(2816))/(((sqrt(576) - (sqrt(576) + sqrt(576)*-2 + sqrt(576))) + sqrt(576))*5))**2)*-6. 84/25 Simplify (1*sqrt(931) - sqrt(931) - (sqrt(19) + (3 + (sqrt(19) - -3*sqrt(19) - sqrt(19)))**2))*3 + (6*sqrt(190)*2)/(4*(sqrt(360) - sqrt(10)) - sqrt(10)). -540 - 1071*sqrt(19)/19 Simplify 2 + -4 + sqrt(45)/sqrt(9) + -5*(sqrt(5) + 2) + ((sqrt(245) - (sqrt(245) + 4)) + sqrt(245))**2*-3 + -1. -796 + 164*sqrt(5) Simplify 2 + 1*(5*(-2*(sqrt(720) + sqrt(720)*-1 - sqrt(720)) + sqrt(720))*3)**2*-3 + 4. -4373994 Simplify -3*((sqrt(288) - 4*(0 + sqrt(288))) + 1 + 6*(sqrt(288) + 1)*6)**2. -945003 - 87912*sqrt(2) Simplify 5*((1*sqrt(128) + 0)*-5*-1)**2 + 2. 16002 Simplify (2*4*sqrt(77)*-2*1)/(2*((sqrt(11) - sqrt(33)/sqrt(3)*-5) + 3*sqrt(99) + sqrt(11))). -sqrt(7)/2 Simplify -5 + ((1*sqrt(132) - sqrt(132))*-2 + sqrt(132) - (sqrt(132) + -5*2*sqrt(132)))/((sqrt(176) + sqrt(176)*1)*-3) + -1. -6 - 5*sqrt(3)/6 Simplify ((sqrt(110)*-2*-1*1)/((sqrt(100) + sqrt(100) + sqrt(100) + (-1*(-5*sqrt(100) - sqrt(100)) - sqrt(100)) + sqrt(100) + sqrt(100))/sqrt(10)))**2. 11/25 Simplify (4*(4*(5 + sqrt(2448) + -1 + -2) - -2*2*sqrt(2448)*-2*5))**2. -110592*sqrt(17) + 50762752 Simplify 2*(-3 + 4 + sqrt(500)*-3)*-2 + -4. -8 + 120*sqrt(5) Simplify ((-1 + (sqrt(272) + sqrt(272)*4 + sqrt(272) + -4 - sqrt(272)) - -5*(sqrt(272) + 2)*1)*3)**2 + 5. 3600*sqrt(17) + 245030 Simplify 2 + (0 + -4 + (sqrt(208) + -1 + -2 - (-1 + sqrt(208))*-1)**2)*1. -64*sqrt(13) + 846 Simplify (4*((sqrt(228)*-1 - sqrt(228)) + sqrt(228)))/(sqrt(1200)*-3) + 4 + sqrt(95)/(sqrt(5) - sqrt(245)*-2)*-1. sqrt(19)/15 + 4 Simplify (sqrt(2673)*1)/(-6*sqrt(22)/sqrt(2)) + (sqrt(108)*-5)/(-3*sqrt(36)). sqrt(3)/6 Simplify -3*2*(2*(sqrt(220)/(sqrt(10)/sqrt(2) + sqrt(5)) - sqrt(132)/sqrt(12)) + -3). 18 Simplify (1*-1*sqrt(612) + -1*(sqrt(612) + 0) - -5*((sqrt(68) + sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68)*-1 - sqrt(68)))))*2)/sqrt(4))**2*2. 4896 Simplify 3*5*((5 + (1 + sqrt(500))*-1)*-2)**2*3. -14400*sqrt(5) + 92880 Simplify -2*(-6*sqrt(4320)*3)/((sqrt(160) + sqrt(160)*1 + sqrt(160) + sqrt(160) + sqrt(160))*-4). -27*sqrt(3)/5 Simplify (4 + (5 + (sqrt(208) + (sqrt(208) - (sqrt(208) - (sqrt(208) + -1))) + sqrt(208) + -2 - (2 + 1 + sqrt(208))) - -4*(1 + -1 + sqrt(208))*-1))**2. -48*sqrt(13) + 841 Simplify (5 + 2*(sqrt(363) + 1 + 3 + 5 + (4 + sqrt(363)*-2)*5))**2. -24948*sqrt(3) + 121581 Simplify (-3*(sqrt(187) + (-1*sqrt(187) - sqrt(187))) + -3*(sqrt(187) + sqrt(187) + sqrt(187)*1))/(sqrt(1584) + (-4*sqrt(1331) - sqrt(1331))). 6*sqrt(17)/43 Simplify -4 + (-3*3*sqrt(48)*2 - ((2*sqrt(66)/sqrt(2))/(5*-2*sqrt(11) + sqrt(11) - sqrt(11)))**2). -72*sqrt(3) - 103/25 Simplify -1 + (1 + -6*(4 + sqrt(2)) - (-3*-6*sqrt(24))/sqrt(12)). -24*sqrt(2) - 24 Simplify (sqrt(144)/(sqrt(12)/sqrt(4))*3)/((1*sqrt(42)*3)/(sqrt(35)/(sqrt(10)/sqrt(2)))). 2*sqrt(2) Simplify (sqrt(605) + (-4*(-2 + sqrt(605)))**2)*-6 + -4 - ((sqrt(300)/(1*sqrt(6)))/((sqrt(100)/sqrt(2))/sqrt(5)) + -2). -58466 + 4157*sqrt
{ "pile_set_name": "DM Mathematics" }
are the prime factors of 60607? 60607 What are the prime factors of 63466? 2, 13, 2441 List the prime factors of 3659. 3659 List the prime factors of 614. 2, 307 What are the prime factors of 8153? 31, 263 What are the prime factors of 29972? 2, 59, 127 What are the prime factors of 4477? 11, 37 List the prime factors of 2308. 2, 577 List the prime factors of 27020. 2, 5, 7, 193 List the prime factors of 1978. 2, 23, 43 List the prime factors of 45464. 2, 5683 What are the prime factors of 6501? 3, 11, 197 List the prime factors of 1477. 7, 211 What are the prime factors of 1978? 2, 23, 43 What are the prime factors of 4450? 2, 5, 89 What are the prime factors of 3837? 3, 1279 What are the prime factors of 8271? 3, 919 List the prime factors of 7066. 2, 3533 List the prime factors of 2448. 2, 3, 17 List the prime factors of 38094. 2, 3, 7, 907 What are the prime factors of 57459? 3, 107, 179 What are the prime factors of 20994? 2, 3, 3499 What are the prime factors of 611? 13, 47 List the prime factors of 46247. 103, 449 What are the prime factors of 1174? 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3, 7, 31 List the prime factors of 12015. 3, 5, 89 What are the prime factors of 14414? 2, 7207 List the prime factors of 5405. 5, 23, 47 List the prime factors of 514. 2, 257 List the prime factors of 911. 911 List the prime factors of 41600. 2, 5, 13 What are the prime factors of 6356? 2, 7, 227 What are the prime factors of 601? 601 What are the prime factors of 1090? 2, 5, 109 List the prime factors of 3775. 5, 151 List the prime factors of 76235. 5, 79, 193 What are the prime factors of 6732? 2, 3, 11, 17 List the prime factors of 2685. 3, 5, 179 What are the prime factors of 18825? 3, 5, 251 List the prime factors of 3005. 5, 601 What are the prime factors of 1042? 2, 521 What are the prime factors of 46002? 2, 3, 11, 17, 41 List the prime factors of 1517. 37, 41 What are the prime factors of 48? 2, 3 List the prime factors of 34573. 7, 11, 449 What are the prime factors of 62876? 2, 11, 1429 What are the prime factors of 28097? 28097 List the prime factors of 743. 743 List the prime factors of 63. 3, 7 List the prime factors of 552. 2, 3, 23 What are the prime factors of 32440? 2, 5, 811 List the prime factors of 2736. 2, 3, 19 What are the prime factors of 1084? 2, 271 What are the prime factors of 49962? 2, 3, 11, 757 What are the prime factors of 4384? 2, 137 What are the prime factors of 5051? 5051 What are the prime factors of 20933? 11, 173 List the prime factors of 5095. 5, 1019 List the prime factors of 33659. 97, 347 What are the prime factors of 92000? 2, 5, 23 List the prime factors of 29040. 2, 3, 5, 11 What are the prime factors of 11058? 2, 3, 19, 97 List the prime factors of 2669. 17, 157 List the prime factors of 1844. 2, 461 What are the prime factors of 1052? 2, 263 What are the prime factors of 15718? 2, 29, 271 List the prime factors of 87414. 2, 3, 17, 857 What are the prime factors of 10072? 2, 1259 What are the prime factors of 451? 11, 41 List the prime factors of 15253. 7, 2179 List the prime factors of 4111. 4111 What are the prime factors of 2177? 7, 311 List the prime factors of 34882. 2, 107, 163 List the prime factors of 1015. 5, 7, 29 List the prime factors of 846. 2, 3, 47 List the prime factors of 388. 2, 97 List the prime factors of 3594. 2, 3, 599 What are the prime factors of 2744? 2, 7 List the prime factors of 4299. 3, 1433 List the prime factors of 49129. 73, 673 List the prime factors of 2160. 2, 3, 5 List the prime factors of 8900. 2, 5, 89 What are the prime factors of 5039? 5039 List the prime factors of 1924. 2, 13, 37 What are the prime factors of 1215? 3, 5 What are the prime factors of 732? 2, 3, 61 List the prime factors of 3438. 2, 3, 191 What are the prime factors of 1624? 2, 7, 29 What are the prime factors of 298? 2, 149 List the prime factors of 1705. 5, 11, 31 What are the prime factors of 21204? 2, 3, 19, 31 What are the prime factors of 4520? 2, 5, 113 What are the prime factors of 1113? 3, 7, 53 What are the prime factors of 5511? 3, 11, 167 List the prime factors of 9558. 2, 3, 59 What are the prime factors of 26794? 2, 13397 List the prime factors of 4510. 2, 5, 11, 41 What are the prime factors of 11331? 3, 1259 List the prime factors of 460. 2, 5, 23 What are the prime factors of 1778? 2, 7, 127 What are the prime factors of 5627? 17, 331 What are the prime factors of 38766? 2, 3, 7, 13, 71 List the prime factors of 16063. 16063 What are the prime factors of 3799? 29, 131 List the prime factors of 1117. 1117 List the prime factors of 1845. 3, 5, 41 List the prime factors of 36530. 2, 5, 13, 281 List the prime factors of 7043. 7043 What are the prime factors of 5808? 2, 3, 11 What are the prime factors of 366? 2, 3, 61 List the prime factors of 10698. 2, 3, 1783 List the prime factors of 53435. 5, 10687 What are the prime factors of 38484? 2, 3, 1069 List the prime factors of 57664. 2, 17, 53 List the prime factors of 45100. 2, 5, 11, 41 List the prime factors of 642. 2, 3, 107 What are the prime factors of 58686? 2, 3, 9781 What are the prime factors of 66107? 66107 What are the prime factors of 20443? 20443 List the prime factors of 6393. 3, 2131 What are the prime factors of 17006? 2, 11, 773 What are the prime factors of 7725? 3, 5, 103 What are the prime factors of 5148? 2, 3, 11, 13 List the prime factors of 15402. 2, 3, 17, 151 List the prime factors of 6536. 2, 19, 43 List the prime factors of 228. 2, 3, 19 What are the prime factors of 2899? 13, 223 What are the prime factors of 980? 2, 5, 7 List the prime factors of 192. 2, 3 What are the prime factors of 21706? 2, 10853 What are the prime factors of 1587? 3, 23 What are the prime factors of 767? 13, 59 What are the prime factors of 14555? 5, 41, 71 What are the prime factors of 5631? 3, 1877 What are the prime factors of 51? 3, 17 What are the prime factors of 539? 7, 11 List the prime factors of 298. 2, 149 List the prime factors of 12133. 11, 1103 What are the prime factors of 18821? 11, 29, 59 List the prime factors of 80287. 80287 What are the prime factors of 15926? 2, 7963 What are the prime factors of 2249? 13, 173 What are the prime factors of 450? 2, 3, 5 What are the prime factors of 33242? 2, 11, 1511 List the prime factors of 82150. 2, 5, 31, 53 What are the prime factors of 2938? 2, 13, 113 List the prime factors of 18443. 18443 List the prime factors of 1842. 2, 3, 307 What are the prime factors of 28806? 2, 3, 4801 What are the prime factors of 141816? 2, 3, 19, 311 What are the prime factors of 27963? 3, 13, 239 What are the prime factors of 4930? 2, 5, 17, 29 What are the prime factors of 8210? 2, 5, 821 List the prime factors of 932. 2, 233 What are the prime factors of 48831? 3, 41, 397 What are the prime factors of 3110? 2, 5, 311 List the prime factors of 7267. 13, 43 List the prime factors of 217. 7, 31 List the prime factors of 87060. 2, 3, 5, 1451 List the prime factors of 93539. 89, 1051 List the prime factors of 9456. 2, 3, 197 List the prime factors of 3326. 2, 1663 List the prime factors of 673. 673 What are the prime factors of 3011? 3011 List the prime factors of 1354. 2, 677 List the prime factors of 11677. 11677
{ "pile_set_name": "DM Mathematics" }
*g**4. Give l(p) - 4*n(p). -2*p Let c(j) = 2. Let s(f) = f**3 - f**2 - 1. Let q be 0 - (0 - 0) - 2. Give q*s(g) - c(g). -2*g**3 + 2*g**2 Let m(k) = 2*k + 4. Let s(j) = -1. Let c(f) = -2*f - 31. Let h be c(-16). Give h*m(d) + 3*s(d). 2*d + 1 Let q(f) = 3*f**3. Suppose -3*k - 2*k = -15. Let z(y) = -2*y**3 + y**k - 6*y**2 + 5*y**2 + 1. Calculate -q(i) - z(i). -2*i**3 + i**2 - 1 Let i(p) = 4*p**3 + 2*p**2 + 2. Let j(y) = -y**3 - y**2 - y - 1. Determine i(z) + 3*j(z). z**3 - z**2 - 3*z - 1 Let a(c) = -c**2 + c + 1. Suppose -4*h + 2 - 3 = l, 25 = -5*l. Let k(j) = 3*j**3 + 4*j**2 - 4*j - 4. Determine h*k(p) + 4*a(p). 3*p**3 Let p(r) = -5*r**3 + 14*r**2 - 44*r - 3. Let h(g) = 3*g**3 - 9*g**2 + 29*g + 2. Give 8*h(k) + 5*p(k). -k**3 - 2*k**2 + 12*k + 1 Let z(b) = b**2 - 6*b - 3. Let v(r) = -2*r - 1. Give -17*v(a) + 6*z(a). 6*a**2 - 2*a - 1 Let t(k) = -5*k**2. Suppose 5*g + 12 + 23 = 0. Let x be (4 + -1)*(-44)/(-12). Let n = x + g. Let f(i) = -14*i**2. What is n*f(b) - 11*t(b)? -b**2 Let g(v) = -6*v**2 - 4*v + 7. Suppose 2 = -d + 4. Let a = d - 9. Let q(z) = -2*z**2 - z + 2. Give a*q(p) + 2*g(p). 2*p**2 - p Let j(n) = 4*n**3 + 5*n - 9. Let k(v) = -2*v + 2. Let b be k(7). Let p(m) = 4*m - 11. Let w be p(4). Let d(r) = 10*r**3 + 12*r - 22. Calculate b*j(x) + w*d(x). 2*x**3 - 2 Let d(m) = 21*m. Let i(u) = -2*u**3 + 3*u**2 - 5*u + 6. Let r be i(2). Let j(q) = 7*q. Calculate r*j(v) + 3*d(v). 7*v Let o be 32/(-40) + 68/10. Let n(b) = -6*b - 1 + 0*b**3 - 4 - 2*b**3 + 7*b**2. Let d(a) = 2*a**3 - 6*a**2 + 5*a + 4. What is o*d(m) + 5*n(m)? 2*m**3 - m**2 - 1 Let f(a) = -11*a + 3. Let k(s) = 12*s - 4. Calculate 5*f(x) + 4*k(x). -7*x - 1 Let a(j) = j + 5. Let v(z) = -5*z - 30. Let u(p) = p + 6. Let c(o) = -11*u(o) - 2*v(o). Determine 7*a(n) + 6*c(n). n - 1 Let c(j) be the second derivative of j**3/6 - j**2/2 - j. Let l(f) be the second derivative of -f**3/2 + f**2/2 - f. Calculate -2*c(v) - l(v). v + 1 Let s(a) = -3*a**3 + 2*a**2 - 4. Let x(q) = -3*q**3 + 3*q**2 - 4. Let d(i) = 2*s(i) - 3*x(i). Let g(r) = r**3 - 2*r**2 + 2. Determine 2*d(v) - 5*g(v). v**3 - 2 Let p(z) = 5*z**3 - 3*z**2 - 3*z - 4. Let k = 15 + -5. Let l(c) = -c**2 + 11*c - 7. Let d be l(k). Let v(o) = 4*o**3 - 2*o**2 - 2*o - 3. Give d*p(h) - 4*v(h). -h**3 - h**2 - h Let y(w) = 5*w + 2*w - 6*w. Let a(p) = -2*p + 1. Let j(v) = -a(v) + 2*y(v). Let h(r) = r. Calculate -3*h(f) + j(f). f - 1 Suppose z + 18 = 4*z. Let u(r) = -17*r + 9. Let c(d) = -7 + 11 - 6 + 4*d. Calculate z*u(p) + 26*c(p). 2*p + 2 Let z(q) be the third derivative of -q**6/120 - q**5/60 - q**3/6 + 6*q**2. Let l(c) = 8*c**3 + 5*c**2 + 5. Calculate l(i) + 5*z(i). 3*i**3 Let h(d) = -6*d**3 + 29*d**2 - 7*d + 7. Let m(i) = i**3 - i**2 + i - 1. Calculate -2*h(x) - 14*m(x). -2*x**3 - 44*x**2 Let l(t) = 4*t**2 - t + 9. Let i(b) = -6*b**2 + 2*b - 14. Give 5*i(a) + 8*l(a). 2*a**2 + 2*a + 2 Let a = -2 - -9. Let l(x) = -5*x**2 - 5*x + 4. Let z(w) = 11*w**2 + 11*w - 9. Determine a*l(b) + 3*z(b). -2*b**2 - 2*b + 1 Suppose 2*y = -2*y - 100. Let f be y - (-1 - -3) - -1. Let h(t) = -t. Let s(u) = -4*u. Give f*h(z) + 6*s(z). 2*z Let r(u) = 7*u**2 + 4*u + 3. Let f(o) = -6*o**2 - 3*o - 2. Let v(z) = 3*z**2 + 13*z + 6. Let q be v(-4). Give q*r(b) + 3*f(b). -4*b**2 - b Let c(j) = j + 1. Let s(v) = -2*v**2 + v + 2. Let u(q) = 2*q - 1. Let y be u(1). Give y*c(o) - s(o). 2*o**2 - 1 Let f(h) = 22*h. Let q(i) be the first derivative of -7*i**2/2 + 8. Give 5*f(y) + 16*q(y). -2*y Let t(k) = -22*k**2 + 50*k**2 + 6*k - 22*k**2 + 6*k**3. Let q(j) = -j**3 - j**2 - j. Give -34*q(n) - 6*t(n). -2*n**3 - 2*n**2 - 2*n Let g(j) = -9*j**3 + 9*j**2 + 13. Let u(n) = -4*n**3 + 4*n**2 + 6. What is 6*g(z) - 13*u(z)? -2*z**3 + 2*z**2 Let m = -3 - -10. Let t(k) = 7*k**2 + m*k**2 - 2*k**2. Let z(j) = j**2. What is -2*t(u) + 27*z(u)? 3*u**2 Suppose 11*b = 9*b - 4. Let a(n) = -3*n**2 - 3*n. Let y(z) = -z**2 - z. Give b*y(t) + a(t). -t**2 - t Let w(m) = 2*m**3 - 2*m**2 + m. Let o(k) = -4*k**3 + 4*k**2 - 3*k. What is 2*o(g) + 5*w(g)? 2*g**3 - 2*g**2 - g Let b(l) = 6*l**2 + 5*l - 5. Let k(j) = -7*j**2 - 6*j + 6. Suppose 8*h + 30 = 3*h. Determine h*b(m) - 5*k(m). -m**2 Suppose -4*q = 3*f - 12, 0*q = -2*q. Let o(l) = -3*l**3 - 8*l**2 + 0*l**3 - 2 - 3. Let c(p) = -p**3 - 3*p**2 - 2. What is f*o(h) - 11*c(h)? -h**3 + h**2 + 2 Let a(v) = -3*v**2 - 4*v - 2. Let u(z) = -z + 5. Let n be (4 + 0)/((-6)/12). Let f = -4 - n. Let c be u(f). Let q(m) = -m**2 - m. Give c*a(t) - 5*q(t). 2*t**2 + t - 2 Suppose 0 = -2*w, 0 = 3*h + 5*w - 14 + 5. Let k(n) = -9*n + 6. Let x(z) = -3*z + 2. Let d(u) = h*k(u) - 8*x(u). Let g(o) = o - 1. Calculate d(s) + 2*g(s). -s Let l(c) = -6*c**2 + 2*c**3 - 5*c**3 + 150*c + 5 - 142*c. Let t(o) = -6*o**3 - 11*o**2 + 15*o + 9. Give -11*l(n) + 6*t(n). -3*n**3 + 2*n - 1 Let i(c) = 4*c - 1. Let s(m) = -7*m + 2. Give 5*i(h) + 3*s(h). -h + 1 Let x(h) = -2*h**2 + 4. Let l(g) = -10*g**2 + 10 - g + 3 + 4*g**2. Determine 2*l(q) - 7*x(q). 2*q**2 - 2*q - 2 Let w(i) = 25*i**3 - 11*i**2 - 11*i + 11. Let c(p) = -5*p**3 + 2*p**2 + 2*p - 2. Give -22*c(n) - 4*w(n). 10*n**3 Let r(a) = -2*a**2 + 6. Let t(s) = 2*s**2 - 7. Calculate -6*r(g) - 5*t(g). 2*g**2 - 1 Let z(x) = 1. Let a(g) = g**2 - g - 3. Let v = 133 - 135. Give v*a(u) - 6*z(u). -2*u**2 + 2*u Let j(o) = -o**2 - 3*o - 3. Let p be j(-2). Let z(u) = -u. Let v(h) = 3*h + 1. Let n(s) = 2*s + 3*s - 4*s. Let w(y) = -4*n(y) + v(y). Calculate p*z(q) - w(q). 2*q - 1 Let k = -31 - -33. Let r(v) = -4*v**3 - 7*v**2 - 7*v. Let n(o) = -o**3 - 2*o**2 - 2*o. Calculate k*r(d) - 7*n(d). -d**3 Let v(p) = 4*p**3 - 1 - 11*p**3 + 8*p**3. Let s(m) = m**3 - 3. Give -s(b) + 3*v(b). 2*b**3 Let w(d) = -63*d + 7. Let j(n) = -21*n + 2. Determine 14*j(f) - 4*w(f). -42*f Let p(m) = 5*m + 11. Let i(g) be the second derivative of -g + 0 + 1/6*g**3 + g**2. Suppose -3*u = 3*a - 4 + 25, 5*a + 27 = -3*u. Give u*p(b) + 22*i(b). 2*b Let h(u) = 5*u**2 - 11*u - 2. Let v(y) = 6*y**2 - 10*y - 3. Give 3*h(c) - 2*v(c). 3*c**2 - 13*c Let z(l) = -l**2 + 1. Let w(t) = 5*t**2 + t + 3. What is w(r) - 3*z(r)? 8*r**2 + r Let n(h) = -6*h - 2. Let z = 28 - 25. Let r(g) = -5*g - 1. What is z*r(a) - 2*n(a)? -3*a + 1 Let c = -6 - -3. Let p = c + 4. Let a(u) = 7*u**2 - 2. Let d(i) = 13*i**2 - i - 4. Let f(t) = -11*a(t) + 6*d(t). Let x(v) = v. What is p*f(y) + 6*x(y)? y**2 - 2 Let t(z) = 3*z**2 - 4*z. Let o(v) = -3*v**2 + 3*v. Let a = 34 - 38. What is a*o(h) - 3*t(h)? 3*h**2 Let c(q) = -q**3 + q**2. Let j(n) = 6*n + n - 8*n. Let s be j(-2). Let d(y) = -6*y**3 + 7*y**2 - y. What is s*d(z) - 14*c(z)? 2*z**3 - 2*z Suppose 3*l - 15 = 0, -2*a + 47 = a + 4*l. Let s = -2 - a. Let k(p) = -6*p**2 + 11*p - 16. Let z(j) = j**2 - 2*j + 3. Give s*z(t) - 2*k(t). t**2 - 1 Let p(c) = -3*c**2 - 2. Let v be (-36)/(-8)*4/(-6). Let t(a) = -3*a**2 - 3. Calculate v*p(g) + 2*t(g). 3*g**2 Let u(w) = 2 - 2 - 2*w**2 - 3*w - 6 - 4*w**2. Let g(y) = 2*y**2 + y + 2. What is 17*g(d) + 6*u(d)? -2*d**2 - d - 2 Let t(w) = 5*w**2 - 17. Let k(g) = 24*g**2 - 86. What is 3*k(d) - 14*t(d)? 2*d**2 - 20 Let f(m) = m**2 - m - 1. Let x(v) = -10*v**2 + 13*v + 5. Let d(c) = c - 1. Let p(n) = -4*d(n) + x(n). Give -36*f(h) - 4*p(h). 4*h**2 Let h(k) = -3*k + 5. Let d(n) = n. Calculate -2*d(o) - h(o). o - 5 Let f(h) = -3*h + 2. Let a(y) = 7*y - 5. Let x(w) = w**2 - 17*w + 21. Let z be x(16). Calculate z*f(v) + 2*a(v). -v Let h(l) = -2*l - 5. Let a(j) = 1 + 0*j - j - j + 3*j. Calculate 5*a(c) + h(c). 3*c Suppose -4*w - 2 = -2*g, 5*w - g = -2 + 4. Let l(q) = -5*q + 1 - 7 + w. Let m(u) = -6*u - 6. Calculate 4*l(r) - 3*m(r). -2*r - 2 Let l(p) = -18*p**2 + 45*p - 45. Let f(h) = h - 1. Give 45*f(w) - l(w). 18*w**2 Let o(d) = 2*d**3 + 9*d - 3. Suppose -2*f + 5*n = -f - 13, -2*f + 2 = 2*n. Let u(k) = -1 - 1 + 3 - 4*k - k**f. Calculate 2*o(s) + 5*u(s). -s**3 - 2*s - 1 Let q(a) = 2. Let b(p) = -p - 4 + 4. Let j(s) = s**2 - s - 4. Let c be j(3). Suppose 5*x - 10 = f, 5*f - 3 + 29 = x. What is c*b(y) + x*q(y)? -2*y + 2 Let j(m) be the third derivative of m**4/24 + m**3 + m**2. Let o(k) be the first derivative of j(k). Let x(p) = -3*p + 6. Determine 6*o(a) - x(a). 3*a Let x(c) = 3*c**2 - 7*c - 9. Let p(m) = m**2 - 3*m - 4. Let i(f) = -14*p(f) + 6*x(f). Let l(g) = -5*g**2 - 3. What is -3*i(o) - 2*l(o)? -2*o**2 Let v(p) = 3*p**3 - 2*p**2 - 2. Let w(t) = 16*
{ "pile_set_name": "DM Mathematics" }
icked without replacement from {b: 4, w: 2, r: 1, o: 2}. What is prob of picking 1 o and 1 r? 1/18 Four letters picked without replacement from {m: 3, b: 1, k: 3}. What is prob of picking 1 b and 3 m? 1/35 What is prob of picking 1 n, 1 k, and 1 e when three letters picked without replacement from krnea? 1/10 Calculate prob of picking 2 j when two letters picked without replacement from jjrjrr. 1/5 Two letters picked without replacement from {f: 3, e: 11}. Give prob of picking 1 e and 1 f. 33/91 What is prob of picking 1 j and 1 a when two letters picked without replacement from {a: 1, p: 1, j: 1, d: 1, f: 2, l: 2}? 1/28 What is prob of picking 1 d and 2 u when three letters picked without replacement from {c: 4, d: 1, t: 1, u: 3, g: 6}? 3/455 What is prob of picking 2 e and 2 i when four letters picked without replacement from ieiiieeiiiii? 12/55 Three letters picked without replacement from {t: 4, q: 7, l: 2}. Give prob of picking 3 q. 35/286 Four letters picked without replacement from zziizhiahazzhzizz. What is prob of picking 2 i, 1 a, and 1 z? 24/595 Two letters picked without replacement from {b: 1, u: 8, v: 6, q: 1}. Give prob of picking 2 v. 1/8 Three letters picked without replacement from {d: 4, k: 3, l: 5, r: 1}. What is prob of picking 3 k? 1/286 Four letters picked without replacement from fiofoonizuiuuuzfi. What is prob of picking 3 f and 1 n? 1/2380 What is prob of picking 2 s when two letters picked without replacement from ddkdksksskkxkkklskkd? 3/95 Three letters picked without replacement from addhudu. What is prob of picking 1 d and 2 u? 3/35 Calculate prob of picking 1 a and 2 t when three letters picked without replacement from {v: 1, a: 1, t: 1}. 0 Calculate prob of picking 3 o when three letters picked without replacement from {j: 4, o: 4, w: 3, v: 6}. 1/170 Calculate prob of picking 3 k when three letters picked without replacement from {k: 10, x: 4}. 30/91 Calculate prob of picking 2 e when two letters picked without replacement from eeaeaeeeeeee. 15/22 Four letters picked without replacement from llpnnsrkrrnp. Give prob of picking 1 s and 3 r. 1/495 Four letters picked without replacement from {n: 4, g: 1, r: 2}. What is prob of picking 3 n and 1 r? 8/35 What is prob of picking 1 j and 3 s when four letters picked without replacement from qqqsqesjqqsq? 1/495 What is prob of picking 1 e and 1 i when two letters picked without replacement from {i: 1, n: 1, k: 4, h: 2, e: 2}? 2/45 Two letters picked without replacement from ojbmmlmbmgggggg. What is prob of picking 1 m and 1 l? 4/105 Calculate prob of picking 1 r, 1 v, and 1 m when three letters picked without replacement from pmvjmjmjrvm. 8/165 Two letters picked without replacement from {t: 4, p: 2, g: 2, a: 7, y: 1, h: 1}. Give prob of picking 1 h and 1 g. 1/68 Calculate prob of picking 2 m when two letters picked without replacement from fxmxxxxxlffcmm. 3/91 Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {y: 6, w: 2, u: 1, o: 3}. 2/11 Three letters picked without replacement from {y: 1, p: 1, w: 2, z: 3}. Give prob of picking 2 w and 1 z. 3/35 Three letters picked without replacement from {r: 6}. Give prob of picking 3 r. 1 Four letters picked without replacement from {o: 1, d: 3, m: 2, g: 2, u: 3, b: 3}. Give prob of picking 1 o, 2 d, and 1 b. 9/1001 Three letters picked without replacement from llanaalaaaalllapl. What is prob of picking 2 a and 1 n? 7/170 What is prob of picking 2 b when two letters picked without replacement from {i: 3, t: 5, h: 1, a: 1, l: 1, b: 4}? 2/35 What is prob of picking 2 v when two letters picked without replacement from {w: 4, v: 5, a: 1, p: 1}? 2/11 Three letters picked without replacement from {f: 1, n: 1, c: 2, j: 1}. What is prob of picking 1 j, 1 f, and 1 n? 1/10 What is prob of picking 4 d when four letters picked without replacement from {d: 5, s: 3}? 1/14 What is prob of picking 1 l and 1 o when two letters picked without replacement from wowwlowwwwwofwlwwwof? 4/95 Calculate prob of picking 1 n and 1 k when two letters picked without replacement from xnsxvxskkk. 1/15 What is prob of picking 1 g and 3 b when four letters picked without replacement from {g: 7, b: 5}? 14/99 Calculate prob of picking 2 k when two letters picked without replacement from kktkkkkkkt. 28/45 Four letters picked without replacement from {x: 2, q: 16}. What is prob of picking 1 x and 3 q? 56/153 Four letters picked without replacement from yggyyygy. What is prob of picking 3 g and 1 y? 1/14 What is prob of picking 1 h, 1 b, 1 y, and 1 m when four letters picked without replacement from mbththmy? 2/35 Two letters picked without replacement from bozlzo. Give prob of picking 1 z and 1 b. 2/15 Four letters picked without replacement from {g: 1, e: 4, l: 2, x: 4, p: 3}. Give prob of picking 1 l, 1 g, and 2 e. 12/1001 Two letters picked without replacement from vuvvvlvvvvuuvm. What is prob of picking 1 m and 1 l? 1/91 What is prob of picking 2 t, 1 h, and 1 p when four letters picked without replacement from {h: 3, t: 5, p: 1, d: 3, b: 1}? 6/143 What is prob of picking 1 u and 1 b when two letters picked without replacement from hbubfoefe? 1/18 What is prob of picking 1 d, 1 f, and 1 l when three letters picked without replacement from blllllfoplbolldplop? 3/323 Four letters picked without replacement from {h: 2, b: 12, u: 3, p: 2, o: 1}. What is prob of picking 1 h, 1 b, and 2 p? 8/1615 What is prob of picking 3 u and 1 a when four letters picked without replacement from {u: 5, t: 6, a: 4}? 8/273 Two letters picked without replacement from uuthotttshlusuu. What is prob of picking 1 o and 1 h? 2/105 Calculate prob of picking 3 z and 1 j when four letters picked without replacement from {p: 2, j: 2, z: 6, e: 1}. 4/33 Calculate prob of picking 2 d and 1 z when three letters picked without replacement from {d: 2, r: 3, z: 5}. 1/24 Two letters picked without replacement from fboobdbuobfoxuo. Give prob of picking 1 b and 1 f. 8/105 What is prob of picking 2 c and 1 g when three letters picked without replacement from vgcejjvgeegjjcjvj? 3/680 Two letters picked without replacement from {m: 1, z: 4, i: 6, s: 2}. What is prob of picking 1 m and 1 z? 2/39 Three letters picked without replacement from hhxhbdhhxhddeahhhah. Give prob of picking 2 h and 1 b. 15/323 Three letters picked without replacement from qxxqxxxxx. Give prob of picking 3 x. 5/12 Calculate prob of picking 2 u when two letters picked without replacement from uzuzzzzuzzz. 3/55 What is prob of picking 1 w and 2 v when three letters picked without replacement from wvzvvvzzwz? 1/10 What is prob of picking 1 i and 1 r when two letters picked without replacement from {i: 1, r: 14, j: 2}? 7/68 What is prob of picking 3 u when three letters picked without replacement from uttuuuutuuututuuuuu? 364/969 Two letters picked without replacement from zzzzkzkkzz. Give prob of picking 1 k and 1 z. 7/15 What is prob of picking 1 b, 1 k, and 1 n when three letters picked without replacement from {n: 1, b: 3, z: 3, k: 3}? 3/40 Calculate prob of picking 1 m and 3 a when four letters picked without replacement from {m: 2, a: 4}. 8/15 Two letters picked without replacement from {n: 2, f: 5}. Give prob of picking 2 n. 1/21 Calculate prob of picking 1 q, 1 d, and 2 y when four letters picked without replacement from {d: 7, q: 2, y: 3}. 14/165 Four letters picked without replacement from {a: 7, w: 2, f: 1, h: 6, d: 3}. Give prob of picking 2 a, 1 d, and 1 f. 21/1292 Two letters picked without replacement from jydyrddrryddcycyyyd. Give prob of picking 1 r and 1 c. 2/57 Four letters picked without replacement from apaaaaaaappaaaaa. What is prob of picking 4 a? 11/28 Three letters picked without replacement from nnnenje. Give prob of picking 2 n and 1 e. 12/35 Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {i: 1, c: 2, y: 7}. 7/45 Four letters picked without replacement from {j: 2, m: 1, c: 4, q: 4}. What is prob of picking 4 c? 1/330 Two letters picked without replacement from {c: 2, l: 2, t: 11, u: 4}. What is prob of picking 1 t and 1 l? 22/171 What is prob of picking 2 m and 1 k when three letters picked without replacement from ttpttmmktpytm? 3
{ "pile_set_name": "DM Mathematics" }
? 1856 Which is bigger: 6/5521 or -1? 6/5521 Is -0.1 equal to -185? False Is -11/57 <= 1? True Which is smaller: -2280/13 or -176? -176 Are 390 and 2 equal? False Is -201 != -181? True Do 0 and -19/43 have different values? True Which is smaller: 17 or 104? 17 Is 0 at most -64/79? False Which is smaller: 555/14 or 39? 39 Which is bigger: -1 or 19/43? 19/43 Is -51 smaller than -0.7? True Which is bigger: -4 or 10/3? 10/3 Is -1 bigger than 19/123? False Is -816 smaller than -799? True Which is smaller: 15 or 397? 15 Is -4 smaller than -47/13? True Which is bigger: 80/119 or 1? 1 Is -28 at most 0.08? True Is 2182 > 2183? False Which is bigger: -565 or -566? -565 Do 150 and 1042/7 have the same value? False Which is greater: 15/274 or -1? 15/274 Is 760/3 >= 254? False Is -3/2 bigger than -114? True Which is smaller: 2/51 or 1? 2/51 Which is smaller: 1/4 or -2/363? -2/363 Is 1 at most as big as 1/4160? False Which is smaller: 15/616 or -1? -1 Which is bigger: -87/32 or -4? -87/32 Is 0 at most -1/722? False Which is bigger: 481 or 480? 481 Is -1 bigger than -4/21683? False Are -250 and -248 non-equal? True Is 1299 at most 1297? False Are -938/17 and -55 non-equal? True Which is bigger: 0 or -5/313? 0 Is -4 at most as big as -141.2? False Which is bigger: 0 or -1/451? 0 Is 725 >= -1/3? True Which is smaller: 2/3 or -20.8? -20.8 Which is greater: 0.07 or -1/4? 0.07 Is 578 <= 579? True Is 109 bigger than -10? True Is 13 less than 219/19? False Which is smaller: -7.3 or 13/4? -7.3 Are 120 and 121 unequal? True Is -42 at least -4.3? False Is -84 > -84? False Which is bigger: -1 or 53? 53 Is 2137 greater than 2137? False Is 107 at least as big as 107? True Is -1338 bigger than -1333? False Is -2/83 at most as big as 1/3? True Are -108/55 and 2/49 nonequal? True Which is bigger: 0 or 30/1141? 30/1141 Does 0.07 = 0.044? False Which is greater: 0 or -858? 0 Which is smaller: 225 or 12? 12 Which is smaller: 500 or 501? 500 Do 20201 and 20200 have different values? True Which is smaller: -7 or -2.2? -7 Does 3/338 = -0.02? False Do -281 and 2/9 have the same value? False Which is greater: -2/7 or 0? 0 Is -3 bigger than -0.001? False Is -1.2 at most as big as -4? False Is 4/4125 at most 1? True Which is smaller: 6/23 or -11/6? -11/6 Which is greater: -0.1 or 1073? 1073 Do 6 and -20 have the same value? False Is 129.1 at most 0? False Which is bigger: 307 or 258? 307 Do -1 and -7/2822 have the same value? False Is 0.2 greater than or equal to 8/609? True Is -2 > -9/11? False Which is greater: -0.4 or 202? 202 Which is bigger: -101 or -1199/12? -1199/12 Is 5.6 bigger than 1.7? True Which is bigger: -1/3164 or 0? 0 Is -69 at most as big as -68? True Which is greater: -5/654 or 0? 0 Is -2384 greater than -2382? False Is -2/3 at least as big as -3029? True Is -0.07 smaller than -1873/4? False Are -46 and 2/45 nonequal? True Which is smaller: 0 or 1/408? 0 Which is greater: 135 or 134? 135 Which is smaller: -21 or -40? -40 Is 12/53 greater than -1? True Is 2317 less than 2316? False Is 0 less than 1/6436? True Does -255 = 5? False Which is smaller: 1 or 2/175? 2/175 Is 187/6 bigger than -7? True Is 4 greater than 56/13? False Which is greater: 2087 or 8349/4? 8349/4 Which is bigger: 895 or 894? 895 Is -550 at most -550? True Which is smaller: -141/38 or -3? -141/38 Which is bigger: 1704 or 1706? 1706 Which is greater: -2042 or -2043? -2042 Which is greater: 2 or -89? 2 Which is smaller: 9/5 or 2? 9/5 Which is smaller: -1793 or -1794? -1794 Is 134 >= 155? False Is 2/1481 > -1? True Is -11031 <= 0? True Is 25274 at most as big as 25275? True Which is smaller: 1 or -5/2? -5/2 Which is bigger: -33 or -22? -22 Is 82 smaller than 244/3? False Which is greater: 484 or 483? 484 Is 2/4681 < 1? True Which is smaller: 68 or -4? -4 Which is greater: -3560 or -3559? -3559 Is -338 > -327? False Which is smaller: 1 or -7/40? -7/40 Is 182 less than 184? True Do -1/13 and -1 have the same value? False Is 2/24215 != 0? True Which is greater: 1 or -212? 1 Which is smaller: 0 or 6/19? 0 Does -2679 = -2677? False Which is smaller: 5 or -66? -66 Is -1225 less than or equal to 2/3? True Which is bigger: 6/14791 or 0? 6/14791 Is -35 smaller than 0.08? True Is -2/19 > 5/2? False Which is smaller: -9 or -330/43? -9 Which is smaller: -1 or 6/193? -1 Do 1 and 1316.3 have different values? True Which is greater: -194 or -171? -171 Is -12 bigger than -109? True Which is smaller: -15 or -110/7? -110/7 Is 2/45 equal to -291? False Is 5 at least 37/9? True Which is bigger: 32/147 or -1? 32/147 Which is smaller: -12798 or -12799? -12799 Which is smaller: 1 or 1/4536? 1/4536 Is -178 <= 0.3? True Which is bigger: -38/17 or -3? -38/17 Is 51 less than or equal to 49? False Is 1/41 <= 0.092? True Which is smaller: -6 or -56/11? -6 Which is smaller: 5/822 or 1? 5/822 Which is smaller: 2/5 or -111? -111 Which is bigger: -42 or -39? -39 Is 2280/31 > 74? False Which is smaller: -870/11 or -79? -870/11 Which is greater: -55 or -67? -55 Which is smaller: 717 or 3? 3 Is -1 <= -5/913? True Which is smaller: -46 or 41? -46 Which is smaller: 914 or 912? 912 Is 2 equal to 9? False Is -219 equal to 15? False Is -8 >= -41? True Which is smaller: 43 or 134? 43 Are 1 and 11/58 unequal? True Is 399 < 399? False Which is smaller: -1239 or -9905/8? -1239 Is -25 equal to -22? False Which is greater: -2198 or -2197? -2197 Which is greater: 701 or 700? 701 Which is smaller: -1 or -2/561? -1 Is 1 greater than 27.575? False Is -14958 at least -14958? True Are 2702 and 2703 non-equal? True Is 1 smaller than 85.4? True Which is smaller: 88 or 90? 88 Which is smaller: -347/3 or -1/2? -347/3 Is 81 >= 86? False Which is bigger: 101.4 or 2/7? 101.4 Which is greater: -476 or -477? -476 Are -149 and -0.3 unequal? True Does 1 = -2/67449? False Which is greater: -1894 or -1893? -1893 Is 0.03 less than -4? False Which is smaller: 0 or 5/73? 0 Which is smaller: 27 or -3? -3 Which is greater: 98 or 96? 98 Are -191 and -185 equal? False Is -1 equal to -4/2801? False Is 1/338 at least 1/3? False Which is smaller: -0.08 or 1164? -0.08 Which is smaller: 1 or 9/220? 9/220 Which is smaller: -421 or -418? -421 Do 81/2 and 41 have the same value? False Which is smaller: -0.2 or 24? -0.2 Is 122 > 120? True Which is greater: -126 or -3? -3 Which is bigger: -57 or 11? 11 Is -2209/5 <= -443? False Which is smaller: -0.01 or -2/19? -2/19 Which is greater: 223 or 227? 227 Which is bigger: 393 or 2745/7? 393 Is -18 <= -20? False Which is bigger: -6 or -218? -6 Which is smaller: -1 or -1.12? -1.12 Is 26 at least as big as 26? True Which is smaller: -190/7 or -26? -190/7 Which is smaller: 0.1 or 4/853? 4/853 Is -1790 less than or equal to -1789? True Which is bigger: -93 or -1287/14? -1287/14 Do -0.2 and 8/19 have different values? True Which is bigger: -1 or -45? -1 Which is greater: -500 or -462? -462 Is 37/10 smaller than -5? False Which is bigger: -53 or 0.2? 0.2 Is 1463 at most 0? False Is -1107/91 less than or equal to -13? False Which is smaller: -51 or -52? -52 Are 2/589 and 0 equal? False Is 0 < -2/3669? False Which is bigger: -1425 or -1416? -1416 Does 0 = -2/2821? False Is -1099 at most as big as -1100? False Which is bigger: 1/18 or -3/11? 1/18 Is 14/67 != -1? True Is -0.1 equal to 886? False Which is bigger: -81 or -83? -81 Is 3234 at least 2/3? True Is -387 at most -387? True Is 0.37 <= 5? True Is -1638 not equal to -1637? True Which is bigger: 1 or 1/1415? 1 Are 1/68 and -1 unequal? True Is 31 equal to -0.2? False Which is bigger: -2 or -23/18? -23/18 Which is greater: 0.07 or -25? 0.07 Which is greater: 1/4 or -116/19? 1/4 Which is smaller: 0 or -3/230? -3/230 Is -4394/3 bigger than -1464? False Is -6158 bigger than -6158? False Is -1476 at least as big as -1477? True Are -2 and -646 unequal? True Is 2/89 <= 8? True Is 59 equal to 58? False Which is bigger: -18/1631 or 0? 0 Which is greater: 3092 or 3091? 3092 Which is bigger: 0.102 or -1? 0.102 Are -531 and -524 non-equal? True Which is smaller: 2068 or 2070? 2068 Does -1/2 = 461? False Is -551 not equal to -550? True Which is greater: -1 or -1/11257? -1/11257 Is -3 >= -35/13? False Is -2589 greater than -2589? False Which is smaller: 0 or -1/1204? -1/1204 Which is smaller: 80/129 or 1?
{ "pile_set_name": "DM Mathematics" }
= 2*d**2. Calculate n(g(f)). 2450*f**2 Let c(b) be the second derivative of -69 + 69 + 12*b + 2*b**3. Let k(l) = 2*l**2. Calculate k(c(t)). 288*t**2 Let v(x) = 3*x**2. Let u(t) be the first derivative of -2*t**3 - 47. Determine u(v(f)). -54*f**4 Suppose -4*h + 0 = -2*c - 4, 0 = 3*h - 9. Let z(a) = 5*a - 4*a - c*a + 2*a. Let v(q) = -4*q**2. Determine v(z(i)). -4*i**2 Let q(d) = -31*d + 15*d + 18*d. Let c(g) = -157*g. Calculate c(q(i)). -314*i Let w(p) = -7*p - 1. Let a(n) = -17*n + 1. Give a(w(y)). 119*y + 18 Let c(n) = -n. Let g(k) = 20*k**2 - 8*k. Let s(x) = -8*c(x) + g(x). Let j(a) = -a**2 - 4926*a + 4926*a. Calculate s(j(b)). 20*b**4 Let y(c) be the third derivative of -c**7/360 + c**5/12 - c**2. Let k(o) be the third derivative of y(o). Let w(h) = h**2. Give k(w(v)). -14*v**2 Let q be (-5 - -4)*(-3 + 0 - -3). Let s(x) be the third derivative of 0*x**3 + 0*x + 6*x**2 + q + 1/24*x**4. Let a(b) = -b. Give a(s(r)). -r Let h(j) = -20*j - 14. Let a(x) = -7*x - 5. Let g(s) = -14*a(s) + 5*h(s). Let l(u) = -u + 1. Let d(m) = 2*m - 1. Let y(p) = 6*d(p) + 6*l(p). Calculate g(y(b)). -12*b Let c(h) = -2*h. Let s(d) = -487959*d**2. Give s(c(w)). -1951836*w**2 Let r(s) = -258*s**2. Let w(n) = 1215*n + n**2 - 1215*n. Give w(r(l)). 66564*l**4 Let t(d) = 18*d. Let q(v) be the first derivative of 0*v**2 + 17 + 0*v + 2/3*v**3. Give t(q(x)). 36*x**2 Let o(w) = 0 - 6*w**2 + 0 + 0. Let h = -18 + 21. Let s(v) = -5*v**2. Let c(m) = h*o(m) - 4*s(m). Let g(z) = -4*z. Give c(g(j)). 32*j**2 Let f(g) be the second derivative of g**3/6 - 316*g + 2. Let u(s) = -174*s. Calculate u(f(c)). -174*c Let p = 4 - -6. Suppose 0*s = 5*s - p. Let o(d) = -38 + 2*d**s + 38. Let g(x) = 4*x**2. Calculate o(g(b)). 32*b**4 Let s(n) = -26*n**2. Let t(g) = 6*g**2 - 51 + 112 - 61. Determine s(t(r)). -936*r**4 Let b(g) = -2*g**2 - 45*g. Let p(o) = -11873*o. Determine p(b(c)). 23746*c**2 + 534285*c Let k(u) be the second derivative of -u**3 - 23*u + 3. Let d(t) be the first derivative of 2*t**2 - 3. Give d(k(l)). -24*l Let i(l) = 1051*l**2. Let u(q) = -324*q. Give i(u(w)). 110329776*w**2 Let p(v) = 77637*v**2. Let c(n) = -5*n. Calculate p(c(s)). 1940925*s**2 Let n(d) = 14*d**2. Let g(q) be the second derivative of q**3/3 - 34*q. Give n(g(u)). 56*u**2 Let u(k) = 20*k - 11*k - 11*k. Let m(v) = 2*v**2 - 47*v + 27*v + 20*v. Determine u(m(q)). -4*q**2 Let y(o) = -6*o**2. Suppose -3*f - 2*f + 1255 = 0. Suppose 0 = 3*c - x - 344, 0 = 2*c - 9*x + 4*x - f. Let z(s) = -c - 2*s + 113. Give z(y(i)). 12*i**2 Let o(k) = 22935*k. Let u(g) = -3*g - 5. Calculate o(u(i)). -68805*i - 114675 Let b(a) = -18*a. Let q(l) = -14*l - 5. Let x(s) = -8*s - 2. Let c(d) = 2*q(d) - 5*x(d). Calculate b(c(m)). -216*m Let c(g) = 3*g. Let s(n) = 11*n**2 - 16*n + 1. Let t(a) = -a**2 + 2*a. Let j(i) = 5*s(i) + 40*t(i). Let u(b) be the first derivative of j(b). What is u(c(h))? 90*h Let w(k) be the second derivative of -k**4/4 - k. Suppose 0 = -4*d + 11 + 9. Let v(r) = -r. Let q(h) = -14*h. Let b(n) = d*q(n) - 60*v(n). Determine w(b(j)). -300*j**2 Let w(l) = 687*l**2. Let h(k) = -94*k**2. What is h(w(v))? -44365086*v**4 Let d(f) = -1 - 4 - 2*f**2 + 5. Let m(i) = -7*i**2 + 3*i. Give m(d(j)). -28*j**4 - 6*j**2 Let n(u) = 4*u + 2*u - 4 - 3*u. Let r(f) = 6*f - 1. Let w(m) = 17*m - 4. Let t(h) = 3*r(h) - w(h). Let a(c) = n(c) + 4*t(c). Let o(p) = -p. Calculate a(o(k)). -7*k Let i(t) = 4*t**2 + 6. Let q(h) = 3*h**2 + 5. Let x(f) = -5*i(f) + 6*q(f). Let y(n) be the first derivative of -10/3*n**3 + 0*n**2 + 9 + 0*n. Calculate y(x(d)). -40*d**4 Let j(l) be the third derivative of -l**4/6 - 2*l**2 + 31*l. Let a(f) = 23*f**2. What is j(a(w))? -92*w**2 Let h(w) = w. Let q(s) = 77*s**2 - 8607. Give q(h(g)). 77*g**2 - 8607 Let d(a) = -1 + 1 + 12*a. Let g(k) be the third derivative of -k**7/2520 - k**4/4 + 31*k**2. Let j(w) be the second derivative of g(w). What is d(j(s))? -12*s**2 Let m(c) = c**2. Let v(l) = -2*l - 8025. Determine v(m(y)). -2*y**2 - 8025 Let u(h) = h**2. Let a(v) = -v + 27*v - 13*v - 5*v. Give a(u(i)). 8*i**2 Let z = 8 - 11. Let t be -2 + -4*(z - -2). Let o(f) = -4*f**2 - f**2 - t*f**2. Let l(s) = s**2. Give l(o(d)). 49*d**4 Let x(b) be the third derivative of 77*b**4/24 + 8*b**2 - 3*b. Let u(m) = -2*m**2. Calculate u(x(z)). -11858*z**2 Let n(u) = 753*u - 91. Let b(g) = -g**2. Give n(b(p)). -753*p**2 - 91 Let g(o) = o + 1. Let l(s) be the third derivative of s**5/60 - 103*s**2. Calculate l(g(a)). a**2 + 2*a + 1 Let u(t) = -3*t**2. Let r(z) = -263*z + 3. Determine r(u(k)). 789*k**2 + 3 Let o(i) = 785 - 785 - 29*i**2. Let m(k) = -3*k. Determine m(o(g)). 87*g**2 Let l(g) = 2810 - 2810 + 2*g. Let a(s) = 2*s - 2. Let i be a(2). Let v(p) = -4*p**i - 8*p**2 + p**2. Calculate l(v(j)). -22*j**2 Let x(z) = 3*z. Let m(w) = -w**3 + 3. Let t be m(-2). Let v(f) = 7*f - t*f + 12*f. Determine v(x(s)). 24*s Let t(w) = -12*w**2 - 3. Let a(y) = y**2 - 3. Let f(g) = -a(g) + t(g). Let p(h) = -h**2 + 3*h. Determine p(f(i)). -169*i**4 - 39*i**2 Let a(n) = 220*n. Let l(j) = -j - 26*j + 25*j. Calculate a(l(s)). -440*s Let m(l) be the first derivative of 18*l**3 + l**2 + 313. Let y(q) = 3*q**2. What is m(y(s))? 486*s**4 + 6*s**2 Let b = -10 - -12. Let r(u) = 0*u**b + 6*u**2 + 0*u**2 - 5*u**2. Let h(w) = -4 + w + 4 + 0. What is r(h(m))? m**2 Let u(d) be the first derivative of 2*d**2 + 4. Suppose 4*z = k - 5*k - 8, -4*z + 8 = -4*k. Let h(x) = 0 + 3*x + z. Give u(h(q)). 12*q Let m(j) = 2*j. Let l(t) = 1221*t**2 + 1480*t**2 - 3270*t**2. Determine m(l(h)). -1138*h**2 Let y(w) = -3*w. Let g be (4 - 3)/((-2)/(-20)). Let b(l) = -8*l + 12*l + g*l + 5*l. What is b(y(r))? -57*r Let o(w) = 3*w**2. Let l(c) = -24*c**2 + 15*c + 15. Let d(p) = -6*p**2 + 4*p + 4. Let m(n) = -15*d(n) + 4*l(n). Give m(o(s)). -54*s**4 Let r(s) = s**2 + 10*s. Let q(m) = 60*m + 3. Determine r(q(t)). 3600*t**2 + 960*t + 39 Let b(n) = -5*n - 37 + 37 - 2*n. Let r(k) = -8*k + 8*k - k + 0*k. What is b(r(h))? 7*h Let z(p) = -7 + 7 - p - 2*p. Let d(x) = -x. Let q(a) = 9*a. Let u(o) = -15*d(o) - q(o). What is u(z(c))? -18*c Let h(w) = -25*w. Let u(y) = -3*y - 8*y - 9*y - 3*y + 18*y. Calculate u(h(b)). 125*b Let n(c) = c - 5. Let f(s) = 2*s - 25. Let y(a) = f(a) - 5*n(a). Let x(h) = 15*h. Calculate y(x(l)). -45*l Let n(q) be the first derivative of q**2/2 + 82. Let m(a) = -42*a. Give m(n(u)). -42*u Let x(w) = -4*w**2. Let t(o) = -70639*o. Give x(t(r)). -19959473284*r**2 Let r(b) = -3*b**2. Let h(a) = 8*a**2 - 7*a**2 + 7*a**2. What is h(r(l))? 72*l**4 Let a(j) = -j. Let z(b) be the first derivative of b**6/40 + b**3/3 + 25. Let l(s) be the third derivative of z(s). Give a(l(r)). -9*r**2 Let a(q) = -30*q + 9. Let u(o) = -7*o + 2. Let f(p) = 2*a(p) - 9*u(p). Let b(c) = 15*c. Give f(b(n)). 45*n Let o(b) be the third derivative of -5*b**4/24 - 2*b**2. Let l(v) = 2*v**2 + 8. Let k(s) = 0 + 3 - s**2 - 8. Let h(q) = -8*k(q) - 5*l(q). What is h(o(u))? -50*u**2 Let f(m) = 6*m**2. Let n(k) = -1754*k. Determine f(n(d)). 18459096*d**2 Let j(o) = 47*o**2. Let h(x) = -11*x**2. Let z(l) = -26*h(l) - 6*j(l). Let y(m) = 57*m**2. Calculate y(z(i)). 912*i**4 Suppose 4*v - 3*a = 0, -3*v + a + 21 = 4*a. Let p(f) = -v*f + 6*f + f. Let r(j) be the second derivative of -j**4/6 - j. Give r(p(t)). -32*t**2 Let j(z) = -z**2. Let r(a) = 39*a**2 - 9*a - 9. Let x(n) = -2*n - 2. Let d(v) = v + 1. Let q(u) = -11*d(u) - 6*x(u). Let y(m) = 18*q(m) + 2*r(m). Give j(y(l)). -6084*l**4 Let k(m) = 9*m. Let i = 330 + -328. Let y(f) be the first derivative of 0*f - 1/2*f**i - 2. Determine k(y(a)). -9*a Let m(u) be the second derivative of 5*u**3/3 + 12*u. Let q(f) = -10*f. Let v(k) = -7*m(k) - 6*q(k). Let a(j) = -j**2. Determine a(v(y)). -100*y**2 Let x(k) = -4*k - 3. Let v(j) = -6*j - 5. Let b(n) = -6*v(n) + 10*x(n). Let u(o) be the first derivative of o**2 - 1. Give b(u(p)). -8*p Let v(g) = -551*g. Let q(d) = -57*d**2. Give v(q(p)). 31407*p**2 Let b(x) = 2*x**2. Let r(z) = 630707*z. What is r(b(g))? 1261414*g**2 Let l(x) be the second derivative of 3*x**4/4 + 2*x. Let v be (186 + -14)/((-2)/(-11)). Let g(j) = -v*j + j**2 + 946*j. Calculate l(g(o)). 9*o**4 Let b(f) = 9*f. Let h(a) = 16*a**2 + 4*a - 2. Calculate h(b(t)). 1296*t**2 + 36*t - 2 Let z(p) = -p. Let k(t) = 1. Let d(f) = -2*f - 15. Let o be d(-8). Let x(s) = 26*s + 5. Let
{ "pile_set_name": "DM Mathematics" }
k - s = 38. Let h = t - k. What is the units digit of h? 7 Let j(w) = -w**3 - 23*w**2 - 48*w + 3. Let z be j(-21). Let h = 218 + z. What is the hundreds digit of h? 3 Let b(k) = k**3 + 5*k**2 - 11*k - 3. Let p be b(-6). Suppose -p*r + 10257 = -3108. What is the tens digit of r? 9 What is the thousands digit of (-1)/5 + 1 + (-1121184)/(-170)? 6 Let a = -22742 + 25045. What is the units digit of a? 3 Suppose -2*q = -5*m + 378, 4*m - 574 = q + 2*q. Let w = q - -85. Let u = 72 - w. What is the units digit of u? 1 Let s(k) = 2*k**3 - 26*k**2 - 94*k - 23. Let z be s(16). Suppose 2*p + 1410 = 2*f, 5*f - 4*p + 2828 = z*f. What is the tens digit of f? 0 Suppose -19*r + 194882 = 113372 - 461377. What is the thousands digit of r? 8 What is the thousands digit of (4 - (-13592)/12)*(-48)/(-5)? 0 Suppose 0 = -n, 3*s - 7*n = -5*n + 27. Suppose -16 = s*x - 70. Suppose x*f - 123 - 669 = 0. What is the tens digit of f? 3 Suppose 5*p + 3*b - 114 = 0, -3*p + 100 = p - 2*b. Suppose 0*x - p = -x. Let y = 149 - x. What is the units digit of y? 5 Let n(r) = 4982*r**2 - 92*r - 2. What is the units digit of n(-2)? 0 Let m = -43 - -27. Let c = 19 + m. Suppose -3*f + c*v = -4 - 14, 4*f + 5*v - 6 = 0. What is the units digit of f? 4 Suppose -5*q + 19 = -2*i, 21 = 3*q - i + 9. Suppose 0 = 3*w - y - 291, 0 = -q*w - 5*y + 379 + 126. What is the tens digit of w? 9 Suppose 8*g = -160 - 520. What is the units digit of g*(28/20)/(-1)? 9 Suppose 0 = 5*y + 3*k - 981, 2*y + k = 201 + 192. Suppose 0 = 4*x + 2*u + 52 - 844, 2*u - y = -x. What is the units digit of x? 8 Suppose -7*k + 3*n = -4*k - 158154, -5*n = -k + 52686. What is the thousands digit of k? 2 Let o be (-1)/(-4) + 13*(-14)/(-8). Suppose -3*d - 5*x + 263 = 0, o*x = 2*d + 25*x - 178. What is the tens digit of d? 9 Suppose a + 137 + 401 = 3*r, 2*r - 4*a - 342 = 0. Let x = 170 + r. What is the hundreds digit of x? 3 Suppose 7*k - 10*k + 4809 = 0. Let t = 2967 - k. What is the hundreds digit of (-2)/((-270)/t - 4/(-22))? 1 Let u(t) = -t + 15. Suppose 100 = -5*v - 5*y, 2*y = 4*v - y + 87. Let f be v/21*1*-13. What is the units digit of u(f)? 2 Suppose 45*p - 52*p + 280 = 0. Suppose 4*d + 0*d + 20 = 0, -2*s = -4*d - 188. Let k = s - p. What is the tens digit of k? 4 Let a(z) = 3617*z - 6084. What is the ten thousands digit of a(11)? 3 Suppose -854255 = 51*m - 1510288 - 1157884. What is the ten thousands digit of m? 3 Let x(t) be the third derivative of 5*t**4/3 - 5*t**3/6 + t**2. Suppose 24*k + 76 = 124. What is the units digit of x(k)? 5 Suppose -4*f + 90 = 3*v - 70, 0 = 4*v - 5*f - 203. Suppose v*p = 61*p - 11331. What is the thousands digit of p? 1 Let f(d) = -4*d - 36. Let q be f(-9). Suppose q = -6*a + 10*a - 5708. What is the thousands digit of a? 1 What is the hundreds digit of -7*(-2)/(-4)*8*(-1204)/4? 4 Let m(o) = o**2 - 5*o. Let v(k) = -k**2 + 21. Let d be v(-4). Let g be m(d). Suppose 0*c + 3*q + 497 = 4*c, 5*q - 25 = g. What is the units digit of c? 8 Let h(d) be the first derivative of 39*d**4/4 + 2*d**3/3 - d - 57. Let v = -11 - -12. What is the tens digit of h(v)? 4 What is the hundreds digit of ((-39856)/(-3) + -2)/((-1054)/(-186) - 5)? 9 Let a be (-1)/(-3) + -3 + (-40)/(-15). Let c(f) = a - 5 - 43*f - 20*f - 13*f. What is the tens digit of c(-1)? 7 Let w = 76 - 72. Suppose -t - 1753 = -w*g, -t - 412 = -g - 6*t. What is the tens digit of g? 3 Let c(z) = -21*z + 16. Let i(k) = -k**3 - 6*k**2 - 4. Let j be i(-6). Let s be c(j). Let f = -85 + s. What is the tens digit of f? 1 Let p = -25620 + 48947. What is the units digit of p? 7 Let w = -101 - -105. Suppose 5*t - w*o = 2424, -5*t - 10*o + 5*o + 2415 = 0. What is the hundreds digit of t? 4 Suppose 3*o - 4*v = -955, 0 = 3*o - 5*v + 10*v + 919. Let d(n) = 589*n**3 + 2*n + 1. Let s be d(-1). Let j = o - s. What is the units digit of j? 7 Suppose 0 = 2*x, -2*c - 2*c - 2*x + 8 = 0. Let q(b) = b - 1. Let f be q(3). Suppose -72 = -v + 5*o, -f*o - c*o + 505 = 5*v. What is the tens digit of v? 9 Let z be -3*(2 - 0)*2/(-4). Suppose -a = -z*a + a. Suppose 5*r = 4*s + 368, a = -2*r + s + 2*s + 150. What is the units digit of r? 2 Let i = 28066 + -15407. What is the ten thousands digit of i? 1 What is the tens digit of (1/(-3*9/(-17631)))/((-1)/(-117))? 0 What is the tens digit of (185750/5)/5*(-2)/4*-1? 1 Let f(y) = 9*y. Let v be f(-6). What is the units digit of 9*(-4)/v*444/1? 6 Suppose 143268 = 5*u - 4*v, -61*u - 2*v - 57304 = -63*u. What is the units digit of u? 0 What is the hundreds digit of (525 - 21)/(((-14)/(-61))/7)? 3 Suppose -29815 - 26670 = -11*a. Suppose 7*g - 437 - a = 0. What is the tens digit of g? 9 Suppose 9 = -4*p - 11, 2*f = 2*p + 14. What is the tens digit of (-387)/(((-3)/(-18))/((-1)/f))? 6 Let f = -9178 + 17889. What is the units digit of f? 1 Suppose 9*b + 15*b = -23*b + 425444. What is the hundreds digit of b? 0 Let p be -1*(-15)/(-25) - 1056/(-10). Suppose p = 5*h - 1475. What is the units digit of h? 6 Suppose -h = 2*k - 1255, -5020 = 2*h - 6*h + 3*k. Let y = h + -499. Suppose -226 = 5*a - y. What is the hundreds digit of a? 1 Let f(i) = 18*i**2 - 27*i - 132. What is the tens digit of f(-7)? 3 Let j(q) = -q**3 - 59*q**2 + 246*q + 54. What is the units digit of j(-65)? 4 Let w(a) = a - 7*a**2 + 17*a**3 + 6*a + 16*a**3 - 4 - 32*a**3. Let y = -36 - -42. What is the units digit of w(y)? 2 Let t(l) = 2*l + 38. Let g(k) = 2*k + 38. Let z(p) = 6*g(p) - 5*t(p). What is the units digit of z(16)? 0 Suppose -2*f - 1 = -4*x + 25, -3*x = 2*f - 9. Let m(o) = 12*o + 34. Let q(u) = 85*u + 238. Let d(n) = x*q(n) - 34*m(n). What is the units digit of d(11)? 1 Suppose -o + 0*r + 11 = 3*r, 22 = 4*o + r. Suppose 0 = g + o*y - 54, -3*g + 5*y + 50 = -32. What is the units digit of g? 4 Let a be 1/(1/3) - (-19 - -18). Let g be a/14 - (-20174)/49. Let p = g - 221. What is the units digit of p? 1 Suppose f - 58802 = -3*b, -5*f = -7*b - 6*f + 137202. What is the units digit of b? 0 Suppose -20*w - 2212 = -77572. What is the hundreds digit of w? 7 Suppose -71 = -8*s + 265. Suppose 41*z - s*z + 23 = 0. Let j = 75 + z. What is the tens digit of j? 9 Suppose -3*v = -5*l + 294, -v = 4*v - 10. What is the units digit of 1/((-5)/(-2)) - (-13536)/l? 6 Let a(w) = w**3 - 6*w**2 + w + 5070. What is the hundreds digit of a(0)? 0 Let g = 7 - 3. Let d be (2/4)/((-2)/64) - -11. What is the tens digit of 84 - (40/d)/g? 8 Suppose 0 = -2*t + 4*t + 3*l - 490, -5*l = 2*t - 498. Let i = t + -89. What is the units digit of i? 0 Let u = -12989 + 16053. What is the tens digit of u? 6 What is the hundreds digit of (8/((-448)/42))/(3/(-34676))? 6 Let o(c) = 6*c + 3. Let u be o(0). What is the tens digit of (-1983 - u)*(5 - 64/12)? 6 What is the tens digit of (13 + 446 + -12)*13? 1 Let l = 29328 + -14715. What is the ten thousands digit of l? 1 Let g = -1262 + 1847. Let d = g - 352. What is the tens digit of d? 3 Let p be (2/(-6))/((-2)/162). Let r = p - 24. Suppose 0 = r*h - 213 - 246. What is the units digit of h? 3 Let b(k) = 872*k - 812. What is the units digit of b(6)? 0 Let y(q) = -5*q + 17. Let b be y(-5). Let d = b + 69. What is the hundreds digit of d? 1 Suppose 0 = 28*t + 13384 - 330288. What is the hundreds digit of t? 3 Let h = 385 - 312. Suppose -h*l = -81*l + 880. What is the hundreds digit of l? 1 Let u(h) = -9366*h + 5159. What is the tens digit of u(-4)? 2 Let t = 81 - 71. Suppose 0 = t*s - 1218 + 188. Suppose -s = -p + x, -164 + 67 = -p - x. What is the hundreds digit of p? 1 Let b be 48/30*5/2. Suppose -r - 388 = -3*w, -2*w = -b*r + 3*r - 260. What is the hundreds digit of w? 1 Let y = 619 + 4458. What is the thousands digit of y? 5 Let f(a) = 3*a**2 - 57. Let g(u) = -3*u**2 + 2*u + 57. Let h(n) = -6*f(n) - 7*g(n). What is the units digit of h(14)? 5 Let w(p) = -p - 1. Let t be w(-3). Suppose 7*x + 590 = 2*z + t*x, -5*z + 3*x + 1437 = 0. Let l = z - 62. What is the hundreds digit of l? 2 Let k = -106 - -718. What is the tens digit of k? 1 Suppose -1126*v = -1133*v + 1022. What is the tens digit of v? 4 Let h(f) be the third derivative of -f**5/120 + f**4/2 + 3*f**3 + 3*f**2. Let o(u) be the first derivative of h(u). What is the units digit of o(-8)? 0 Let x = 94 + -40. Let f = -116 + 159. Let a = f + x. What is the units digit of a? 7 Suppose -3*t - v = 1, 4*t + 16*v - 12*v
{ "pile_set_name": "DM Mathematics" }
f 164174? 2, 23, 43, 83 List the prime factors of 1199. 11, 109 List the prime factors of 40266. 2, 3, 2237 List the prime factors of 442. 2, 13, 17 What are the prime factors of 2680? 2, 5, 67 What are the prime factors of 69540? 2, 3, 5, 19, 61 List the prime factors of 116311. 13, 23, 389 What are the prime factors of 156867? 3, 52289 List the prime factors of 1932. 2, 3, 7, 23 List the prime factors of 6550. 2, 5, 131 What are the prime factors of 1981? 7, 283 What are the prime factors of 91939? 91939 List the prime factors of 596. 2, 149 What are the prime factors of 39857? 39857 List the prime factors of 37023. 3, 7, 41, 43 List the prime factors of 489. 3, 163 What are the prime factors of 13906? 2, 17, 409 What are the prime factors of 53076? 2, 3, 4423 What are the prime factors of 2359? 7, 337 What are the prime factors of 45? 3, 5 What are the prime factors of 3397? 43, 79 List the prime factors of 1065. 3, 5, 71 List the prime factors of 1785. 3, 5, 7, 17 What are the prime factors of 980? 2, 5, 7 List the prime factors of 617. 617 What are the prime factors of 34394? 2, 29, 593 List the prime factors of 2020. 2, 5, 101 List the prime factors of 117624. 2, 3, 13, 29 List the prime factors of 5423. 11, 17, 29 What are the prime factors of 9988? 2, 11, 227 What are the prime factors of 1625? 5, 13 List the prime factors of 235. 5, 47 What are the prime factors of 922? 2, 461 What are the prime factors of 2026? 2, 1013 What are the prime factors of 10192? 2, 7, 13 What are the prime factors of 3974? 2, 1987 List the prime factors of 150114. 2, 3, 127, 197 List the prime factors of 352. 2, 11 List the prime factors of 1256. 2, 157 What are the prime factors of 2572? 2, 643 List the prime factors of 9398. 2, 37, 127 List the prime factors of 1541. 23, 67 List the prime factors of 1726. 2, 863 List the prime factors of 33161. 33161 List the prime factors of 482. 2, 241 List the prime factors of 1359. 3, 151 List the prime factors of 1493. 1493 List the prime factors of 25771. 25771 List the prime factors of 385. 5, 7, 11 List the prime factors of 1151. 1151 What are the prime factors of 1348? 2, 337 List the prime factors of 84103. 31, 2713 What are the prime factors of 5813? 5813 What are the prime factors of 1049? 1049 What are the prime factors of 46047? 3, 15349 List the prime factors of 8608. 2, 269 What are the prime factors of 785? 5, 157 List the prime factors of 80571. 3, 107, 251 List the prime factors of 433. 433 List the prime factors of 1261. 13, 97 What are the prime factors of 1335? 3, 5, 89 What are the prime factors of 125147? 11, 31, 367 List the prime factors of 2345. 5, 7, 67 What are the prime factors of 37905? 3, 5, 7, 19 What are the prime factors of 77279? 77279 List the prime factors of 32930. 2, 5, 37, 89 List the prime factors of 10671. 3, 3557 What are the prime factors of 18549? 3, 229 What are the prime factors of 2825? 5, 113 What are the prime factors of 5089? 7, 727 List the prime factors of 11543. 7, 17, 97 List the prime factors of 16138. 2, 8069 What are the prime factors of 9527? 7, 1361 List the prime factors of 15299. 15299 What are the prime factors of 3965? 5, 13, 61 What are the prime factors of 1212? 2, 3, 101 List the prime factors of 6753. 3, 2251 What are the prime factors of 48195? 3, 5, 7, 17 List the prime factors of 112. 2, 7 List the prime factors of 2087. 2087 List the prime factors of 579. 3, 193 What are the prime factors of 46211? 11, 4201 List the prime factors of 26397. 3, 7, 419 What are the prime factors of 35166? 2, 3, 5861 List the prime factors of 192038. 2, 7, 11, 29, 43 What are the prime factors of 7058? 2, 3529 What are the prime factors of 1637? 1637 List the prime factors of 5647. 5647 What are the prime factors of 2067? 3, 13, 53 List the prime factors of 2133. 3, 79 What are the prime factors of 17464? 2, 37, 59 List the prime factors of 60076. 2, 23, 653 What are the prime factors of 1869? 3, 7, 89 List the prime factors of 16227. 3, 601 What are the prime factors of 19464? 2, 3, 811 List the prime factors of 1086. 2, 3, 181 List the prime factors of 33986. 2, 16993 List the prime factors of 53671. 191, 281 List the prime factors of 49533. 3, 11, 19, 79 List the prime factors of 16662. 2, 3, 2777 List the prime factors of 8909. 59, 151 What are the prime factors of 16189? 16189 List the prime factors of 12952. 2, 1619 What are the prime factors of 26157? 3, 8719 What are the prime factors of 1113? 3, 7, 53 What are the prime factors of 2204? 2, 19, 29 List the prime factors of 73336. 2, 89, 103 List the prime factors of 3368. 2, 421 What are the prime factors of 2865? 3, 5, 191 What are the prime factors of 1455? 3, 5, 97 What are the prime factors of 44438? 2, 17, 1307 What are the prime factors of 16619? 16619 What are the prime factors of 137401? 11, 12491 What are the prime factors of 143600? 2, 5, 359 List the prime factors of 8989. 89, 101 What are the prime factors of 3456? 2, 3 What are the prime factors of 38123? 67, 569 What are the prime factors of 95102? 2, 7, 6793 List the prime factors of 1522. 2, 761 What are the prime factors of 11661? 3, 13, 23 What are the prime factors of 437? 19, 23 What are the prime factors of 2128? 2, 7, 19 What are the prime factors of 121? 11 List the prime factors of 3962. 2, 7, 283 List the prime factors of 739. 739 What are the prime factors of 15954? 2, 3, 2659 List the prime factors of 29009. 29009 List the prime factors of 1093. 1093 List the prime factors of 4995. 3, 5, 37 List the prime factors of 4685. 5, 937 List the prime factors of 171. 3, 19 List the prime factors of 607. 607 What are the prime factors of 298? 2, 149 List the prime factors of 1452. 2, 3, 11 What are the prime factors of 2465? 5, 17, 29 What are the prime factors of 2538? 2, 3, 47 What are the prime factors of 12302? 2, 6151 What are the prime factors of 928? 2, 29 What are the prime factors of 48952? 2, 29, 211 List the prime factors of 1267. 7, 181 List the prime factors of 10907. 13, 839 List the prime factors of 17829. 3, 7, 283 What are the prime factors of 14156? 2, 3539 What are the prime factors of 5611? 31, 181 List the prime factors of 8709. 3, 2903 What are the prime factors of 10061? 10061 List the prime factors of 16557. 3, 5519 List the prime factors of 7735. 5, 7, 13, 17 List the prime factors of 20877. 3, 6959 What are the prime factors of 1156? 2, 17 List the prime factors of 17. 17 What are the prime factors of 317? 317 List the prime factors of 138520. 2, 5, 3463 List the prime factors of 232. 2, 29 What are the prime factors of 15406? 2, 7703 What are the prime factors of 1766? 2, 883 List the prime factors of 544. 2, 17 List the prime factors of 1726. 2, 863 List the prime factors of 753. 3, 251 What are the prime factors of 128? 2 What are the prime factors of 32829? 3, 31, 353 What are the prime factors of 12698? 2, 7, 907 What are the prime factors of 14774? 2, 83, 89 List the prime factors of 13756. 2, 19, 181 What are the prime factors of 3430? 2, 5, 7 List the prime factors of 320. 2, 5 What are the prime factors of 1743? 3, 7, 83 List the prime factors of 8076. 2, 3, 673 List the prime factors of 3469. 3469 What are the prime factors of 616? 2, 7, 11 List the prime factors of 15329. 15329 What are the prime factors of 62? 2, 31 What are the prime factors of 15024? 2, 3, 313 What are the prime factors of 13590? 2, 3, 5, 151 What are the prime factors of 1474? 2, 11, 67 What are the prime factors of 1584? 2, 3, 11 List the prime factors of 61709. 23, 2683 What are the prime factors of 24439? 24439 List the prime factors of 12225. 3, 5, 163 What are the prime factors of 61605? 3, 5, 37 What are the prime factors of 6156? 2, 3, 19 List the prime factors of 333. 3, 37 List the prime factors of 2175. 3, 5, 29 What are the prime factors of 30455? 5, 6091 What are the prime factors of 78435? 3, 5, 7, 83 List the prime factors of 4089. 3, 29, 47 List the prime factors of 5223. 3, 1741 What are the prime factors of 66246? 2, 3, 61, 181 List the prime factors of 283. 283 List the prime factors of 4365. 3, 5, 97 List the prime factors of 328. 2, 41 List the prime factors of 6728. 2, 29 List the prime factors of 5057. 13, 389 W
{ "pile_set_name": "DM Mathematics" }
et v = 119.5741 - -2.4259. What is the second biggest value in b, v, 1/5? b Suppose -28*g + 41*g = 52. Suppose y = -3*i - 1, 0 = -3*y + i - g + 1. What is the third biggest value in -0.1, -6, y, -5? -5 Let r = 6.1 + 50.9. Let z = 57.5 - r. Which is the second smallest value? (a) -8.9 (b) -2/21 (c) 2/9 (d) z b Let f = -1.06708 - -0.06708. Which is the fourth smallest value? (a) -11 (b) -0.4 (c) 3/16 (d) f c Let y = 14/117 + 4/39. What is the second smallest value in -542, 0.5, 2, y? y Let h = 41.5 + 43. Let w = -84 + h. Let o = -3.3 - -3. Which is the fourth smallest value? (a) 5 (b) o (c) 0.4 (d) w a Let k = 44551.4 - 44550. Let o = -0.51 - -0.01. Which is the third smallest value? (a) o (b) 5 (c) k b Let a = -403.4 + 428. Let u = a + -15.6. What is the biggest value in 0.3, u, -0.3, 3/7? u Let q = 0.29288 + -0.06288. Which is the third smallest value? (a) -0.2 (b) -4 (c) q (d) 4 (e) -5 a Let y = -23911 + 23913. Let v = -0.3 - -0.31. Suppose 2 + 6 = 2*o. Which is the fourth smallest value? (a) y (b) o (c) 5 (d) v c Suppose 10*r = 23*r + 5460. Let z(y) = y**2 + 5*y - 7. Let f be z(-6). Let b be r/(-680) - ((-1)/2)/f. What is the biggest value in b, -2, 2/11, 0.5? 0.5 Let r(y) be the second derivative of 2*y**3 + 22*y**2 - 4*y. Let i be r(-4). Let w = 15.15 - 15. Which is the smallest value? (a) w (b) -0.2 (c) i c Let v = -0.1 - 0.1. Suppose k = g + 4573 - 4560, 3*g - 2*k = -30. Which is the fourth smallest value? (a) -0.4 (b) v (c) -1/2 (d) g b Let x = 0.02391 - 0.32391. What is the second smallest value in -0.2, -1/6, x, -2/5, -6? -2/5 Let h be -5 - -11 - (-192)/(-30). Let v be (-294243)/483 - 2/(-7). Let u = -609 - v. What is the biggest value in u, 4/9, h? 4/9 Let w(a) = 39*a + 23 - 12 - 12. Let v be w(-5). Let i = v + 977/5. What is the second smallest value in i, -1/2, -12? i Let g = 42 - 47.3. Let k = g + 5.1. Let n = -15.5 - -16. What is the second biggest value in k, n, -0.1? -0.1 Let k be (10/12)/(((-45)/(-42))/(94/329)). Which is the third biggest value? (a) -3/2 (b) -2/5 (c) 51 (d) k (e) 5 d Let v be -4 - 51/78 - (-15)/(-6) - -7. Which is the biggest value? (a) v (b) 0.3 (c) -2/151 b Let x = -148.971 - 0.029. Let g = 149.03398 - 0.13398. Let k = x + g. Which is the fourth smallest value? (a) 0 (b) 4 (c) 3/4 (d) k b Suppose -3*g - w = -4*g, 2*w = g - 3. Let i be -1*(-5)/g*3. Suppose 2*m = n + 3, 0 - 3 = -2*n - 5*m. Which is the second biggest value? (a) n (b) i (c) 0 a Let x = -3108 - -3107. Which is the biggest value? (a) x (b) -6.68 (c) -3 a Suppose -4*j = 4*j - 56. Let b be ((-1)/(-1))/(j/525). Suppose 0 = 4*r + b + 81. What is the second smallest value in 0.1, r, -2? -2 Let k = -141.52 - -143.52. What is the third biggest value in -9, 0.1, 2/7, -2/5, k? 0.1 Let w = -911/3 + 6368/21. What is the third smallest value in 1/5, 3, w? 3 Let f = 17227/5 + -3446. Which is the biggest value? (a) 3 (b) 3/4 (c) f (d) 4 d Let y = 23 - 20. Let k be 193 - 4/((-5)/(-5)). Suppose 3*q = k - 225. What is the third smallest value in y, q, -1? y Let c = 15.6 + -1.6. Let y = c - 16. Let v = 50 + -49.95. What is the smallest value in y, -2/3, v? y Let n = -29.39 + 29.43. What is the second biggest value in 23, -2, n? n Let q = 0 + -0.2. Suppose 4*a = -5*m + 5, -30 = 3*m - 8*m + a. Let n be (m + 80/(-25))*5. What is the third smallest value in 0.2, q, n? n Let p = -4/579 - 563/2316. What is the third smallest value in -20/7, -10, p? p Let d = -13 - -22. Let n = 32042.7 + -32043. What is the fourth smallest value in n, 3, d, 5/4? d Let p be -5 - (28/7 + 20). Let h = 26 + p. Which is the second biggest value? (a) -1/6 (b) h (c) -4/15 c Let d = -0.12 + -4.88. Let w = -598.1303 + 0.1303. Let n = w + 597. Which is the second biggest value? (a) -10 (b) d (c) n b Let q = -32256 - -32255.9. Which is the third smallest value? (a) 1/2 (b) -11/15 (c) 0 (d) -0.4 (e) q e Let u = -7.083 + 7. Let i = u - -0.653. Let o = 4.57 - i. Which is the third biggest value? (a) 0 (b) o (c) -0.5 c Let o = 6 + -11. Let f = -364.3 - -364.4. Which is the smallest value? (a) o (b) -1/6 (c) f (d) 1 a Let j = -0.09 + 0.09. Let n = -96.42 + 82.42. Which is the third biggest value? (a) j (b) 3 (c) n c Let p = -39 + 92. Let k(v) = -v**3 + 5*v - 5. Let u be k(2). Which is the third biggest value? (a) p (b) -5 (c) u b Let z be -2 - (1/4 - (-33)/(-22)). Which is the second smallest value? (a) 21 (b) 5/2 (c) z (d) -0.3 (e) 7 d Let y = -8.4052 + 2.4052. Let m = 7.5 + -1.5. What is the second smallest value in y, 1/5, m? 1/5 Let y = -258 - -86. Let b = -250.314 + 251.314. What is the fourth biggest value in -0.2, y, -3, b? y Let r be (0/7)/(-1 - -7). Suppose 3*o - 9 + r = 0. What is the smallest value in 12, -1, 1, o? -1 Let c be 3*(-133)/57 - 2*45/(-12). What is the fourth smallest value in c, -0.4, -0.403, 2? 2 Let h = -18530 + 18498. Which is the second biggest value? (a) h (b) -0.3 (c) 1 (d) 2/7 d Let i be (5*-4*4/16)/(6 + -4). What is the fifth smallest value in 0.1, -5, i, 2/7, 2/3? 2/3 Let m = -3.53 + 14.63. Let c = 6.1 - m. What is the third smallest value in c, 6, 0.3? 6 Let z = -2.3672 - 0.0528. Let m = z - -3.22. Which is the biggest value? (a) -1/11 (b) m (c) 0.2 b Let o = -75.7 - -75.2. Let h = 165 + -166. Which is the second biggest value? (a) -2/41 (b) 1/4 (c) o (d) h a Let s = 2 - -3. Let h = 19011/8 - 2376. Which is the third biggest value? (a) -3 (b) s (c) 0.8 (d) h d Let i = 11.192 - 14.192. What is the fourth biggest value in i, 0.2, -2/9, 2, -0.717? -0.717 Let l = -0.00469 + -0.99531. Which is the third biggest value? (a) 2/5 (b) -4 (c) 0.73 (d) l d Let o = 172/20591 + 3/349. Let z = 63/236 - o. Which is the biggest value? (a) -2 (b) -1/2 (c) z (d) 0.19 c Let a be 2/4*5 - 3762/2508. What is the third smallest value in a, -2, -3, -3/7? -3/7 Let z(r) = -50*r + 493. Let t be z(11). Which is the smallest value? (a) 0.2 (b) -215 (c) t b Let m be ((-11)/77)/((-2)/(-4)). Let v be 2466/2700 + (-6)/75. Which is the smallest value? (a) m (b) -0.4 (c) v (d) 1 b Let w = -10769/3 + 3589. Which is the fourth smallest value? (a) -6 (b) -2/9 (c) 293 (d) w c Let d = -13 - 11. Let b = -24.1 - d. Let t be ((-3)/(-14))/((-1)/(-2)). What is the third biggest value in b, 4/5, t? b Let p = 103/132 - 5/44. Which is the fifth biggest value? (a) -3 (b) -34 (c) 1 (d) -0.5 (e) p b Let p = 3781/30120 - 2/3765. Which is the third smallest value? (a) 12 (b) -1 (c) p (d) -3/7 (e) 2/5 c Let n = -0.062 - 57.938. Let i = n + 29. Let x = -28 - i. Which is the second biggest value? (a) x (b) -1 (c) 29 a Let p = -0.024 - -0.124. Let o = 0.0079 - 2.0079. Which is the smallest value? (a) -0.49 (b) o (c) p b Let p be (108/(-135))/((-72)/(-20)). Which is the second smallest value? (a) 814 (b) p (c) -3 (d) -1 (e) -0.2 d Let u(t) = -47*t + 216. Let f be u(16). Let y = -8042/15 - f. Which is the third smallest value? (a) -5 (b) y (c) 2/5 (d) -2 b Let z = 0.31 - 0.81. Let o = -2.68 - 0.62. Let l = -0.7 + o. Which is the third biggest value? (a) z (b) 5/2 (c) l c Let l = 589 - 591. Let k = 15 - 17.3. Let z = k + 2. Which is the third biggest value? (a) l (b) z (c) -3 c Let v = -4034 - -4031. Which is the biggest value? (a) -2/11 (b) v (c) 0.4 (d) -58 c Let c = -142877 + 142878. Let h be (-2 - -3)/((-2)/6). What is the biggest value in 0.5, -0.9, c, h? c Let q = -0.087 + -1.913. Let k = -5.81 - -3.91. Which is the third smallest value? (a) k (b) 4 (c) q b Let r = -169 - -172. Let o = 17/7 - r. What is the biggest value in o, -0.3, -5? -0.3 Let w = -1200 + 3598/3. Which is the third smallest value? (a) 218 (b) w (c) -1 a Let y = -2381 + 2376. What is the third biggest value in -0.3, y, 0.1, 2/41? -0.3 Let f = -0.9 - 0.1. Let z = -2508211/7 + 358315. Which is the second smallest value? (a) f (b) -1/5 (c) z c Let l = -64.5 + 348.5. Let v = l - 284.1. Which is the smallest value? (a) 6/5 (b) v (c) -1/5 (d) -0.3 d Suppose 208 = -14*i + 12*i. Let w be (-5)/(20/24) - i/18. What is the smallest value in w, -5, -62? -62 Let f be 578/(-4) + 19 + -25. Let z = 150 + f. Which is the second biggest value? (a) -5 (b) 0.4 (c) z c Let t = 0.51 - -1.49. Let m be -3 + 2
{ "pile_set_name": "DM Mathematics" }
Let l = 1 - -1. Let v be (l + 7)*(-10)/(-6). Let s = v + -8. Does 3 divide s? False Suppose -63 = -5*c + 2*c. Suppose -3*y + 9 = -3*q, 0*y - 3*y + c = 3*q. Suppose -2*m - 116 = -4*w - w, 4*m = -q*w + 56. Is 20 a factor of w? False Does 16 divide 95 + ((-1)/2)/(1/(-2))? True Let p = 18 + -59. Let d = p - -76. Is 12 a factor of d? False Let j(x) = 7*x**2 + 3*x - 2. Is j(1) a multiple of 8? True Let f be (-6)/((-6)/(-8)*-2). Does 3 divide 7 - (-1 + f + -2)? True Let c(w) = 3*w**2. Let q be c(-1). Does 5 divide (-2)/q*(5 + -29)? False Let h(c) be the second derivative of -c**5/20 + c**4/6 - c**3/6 - c**2/2 - c. Let j be h(2). Does 3 divide 6/j - (-5)/1? True Suppose -4*k + 6*k + 2*n - 44 = 0, 3*k - 5*n = 50. Is (64/k)/((-2)/(-5)) a multiple of 8? True Let v(g) = -g**3 + 5*g**2 + 5*g + 4. Let h be v(6). Let y = 1 - h. Suppose -2*c - 5 - y = 0, 0 = -n - 2*c + 4. Is 12 a factor of n? True Let i = 317 - 75. Is 11 a factor of i? True Does 17 divide ((-93)/4)/((-6)/16)? False Suppose -144 = -0*j - 2*j + 4*v, 0 = -2*v + 6. Does 13 divide j? True Suppose 5*f = 689 - 49. Is f a multiple of 28? False Let b = -19 - -21. Is 2 a factor of (-1)/b + (-36)/(-8)? True Let y = -3 + 6. Let g(r) = r + 4. Let j be g(y). Suppose -5*m = -w + 51, j*m - 4*m = -5*w + 115. Is 9 a factor of w? False Suppose g + g - 70 = 3*h, 4*h = -5*g + 198. Does 38 divide g? True Suppose 3*j = 14 - 5, -273 = -5*u - j. Is 6 a factor of u? True Is 13 a factor of 1/(2/(-5) + (-1449)/(-3510))? True Let c(s) = -s**3 + 7*s**2 + 7*s + 11. Let r be c(8). Let t be 2*r/(-6)*0. Does 3 divide t + 1 - -6 - 2? False Let o be (-27)/(-6) + (-6)/(-4). Suppose 5*d + 2*k - 39 = 0, 2*d - 6 = -o*k + 2*k. Is d a multiple of 6? False Let h = 137 - -54. Is 44 a factor of h? False Let j be ((-5)/2)/((-1)/2). Suppose -2*b = b + 5*g + 4, -j*g = 2*b + 1. Let m = 15 - b. Is m a multiple of 18? True Suppose 2*q + 5*d - 95 + 5 = 0, -2*d = 0. Suppose -4*o - o + q = 0. Suppose j - 5 = o. Is j a multiple of 5? False Suppose -2*m = 5*s - m - 595, -4*m = 20. Suppose 0 = -11*u + 7*u + s. Does 10 divide u? True Let t = 10 - 2. Does 9 divide (13/4 - 0)*t? False Let g be 6 - (-3 - -1 - -3). Suppose g*h - h = 32. Does 6 divide h? False Let o(x) = -4*x**3 + 4*x**2 + 2*x - 2. Let w be o(-2). Suppose 4*m - 34 - w = 0. Does 6 divide m? False Suppose 0 = p - 15 - 15. Suppose d = 2*i - 46, -42 = -4*i - 3*d + p. Is 7 a factor of i? True Let w = 12 - 4. Let p = -2 + w. Does 3 divide p? True Suppose -13*a + 594 = -10*a. Is 33 a factor of a? True Let r(v) be the first derivative of 29*v**2/2 - v - 2. Let n be r(1). Suppose -k = k - n. Is 13 a factor of k? False Suppose 60 = s + 3*s. Is s a multiple of 5? True Let p(a) = 12*a - 10. Let r be p(9). Suppose 4*s = -4*t + 876, -t - 5*s + 2*s = -227. Suppose -2*q + r = 4*o, 4*q + 3*o - t + 34 = 0. Is q a multiple of 12? False Let z be 3/(1/(0 - -1)). Suppose k - 4 = -5, 4*l - z*k + 21 = 0. Does 6 divide ((-18)/(-4))/(l/(-8))? True Let k(o) = 9*o + 2. Let j be k(7). Let r = j - 46. Does 19 divide r? True Let c(n) = n**3 + 8*n**2 + 3. Let r be c(-8). Let m be 9 + (-9)/r + 3. Is 2 a factor of (m/(-6))/((-6)/8)? True Suppose g - 4*m + 15 = 0, 3*g + 5*m - 18 = 4*g. Let w = 14 - g. Let x = w + 9. Is 13 a factor of x? True Let q(x) = -x**3 + 6*x**2 - 5*x - 2. Let y be q(5). Is 8 a factor of (-6 + 5)/(y/30)? False Let y = 28 + -14. Let o = 0 + y. Is 4 a factor of o? False Let r(v) = -5*v - 3. Suppose -3*a + 10 = -14. Let o = 4 - a. Is r(o) a multiple of 6? False Suppose 3*y - 44 = -y + 4*q, 15 = 2*y + 5*q. Is y a multiple of 5? True Is (-14)/(-4)*10/5 a multiple of 3? False Suppose -19 = -f + 4*a - a, 5*f - 2*a = 43. Suppose -f = -2*z + 1. Suppose 10 = w + 4*x, -x = -5*x - z. Is w a multiple of 8? False Is 25 a factor of 2 + 588/8 - 2/4? True Let t = 47 - 15. Is 8 a factor of t? True Let s = 18 + -13. Is s even? False Let u(f) = 49*f - 2. Is 23 a factor of u(3)? False Let w = 422 + -296. Is 18 a factor of w? True Let t = -17 + 46. Let a = t + 7. Does 18 divide a? True Let b be (-15)/(-4) + (-2)/(-8). Suppose -i + b*i + 342 = 0. Does 14 divide (i/4)/(6/(-8))? False Suppose -2*a + 33 + 75 = -2*u, 0 = 2*a - 3*u - 111. Is 9 a factor of a? False Let f = -55 - -84. Does 26 divide f? False Suppose 5*z = -4*w - 5 + 122, z + 55 = 2*w. Is w even? True Let g(v) = v**2 + 16*v + 5. Is 11 a factor of g(-17)? True Let q(d) = -d**2 + 6*d + 2. Let a be q(6). Suppose 0 = a*c + f + 3*f - 70, -4*c + 2*f = -140. Is c a multiple of 13? False Let m(a) = -a + 1. Suppose 0 = -5*y + 5*f + 25, 5*y + 5*f - 6 = -31. Suppose y*l + 16 = -4*l. Is m(l) a multiple of 3? False Suppose 4*h + 143 = 3*j, -j + 6*h - 3*h = -46. Let w = -34 + j. Does 15 divide w? True Let u = 13 - 7. Let m = u + -4. Is m a multiple of 2? True Suppose -321 = -16*t + 351. Suppose 0 = 2*q - 9 - 39. Let c = t - q. Is c a multiple of 9? True Suppose 0 = 4*y + 3*l - 154, 3*l = -5*y + 101 + 93. Is y a multiple of 10? True Suppose 2 = -3*m + 5. Suppose m - 26 = -w. Does 6 divide w? False Is (-5)/20 - 81/(-4) a multiple of 20? True Let h(o) = 3*o**2 - o. Let c(l) = -l**2 + 1. Let z(g) = c(g) + h(g). Let s be z(2). Suppose 2*r = 47 - s. Is 10 a factor of r? True Suppose 4*t - 4 = 8. Suppose -n - 2 = 0, 0*n - n = t*c - 4. Suppose 0 = c*a - 5*a + 60. Is a a multiple of 10? True Let o(j) = 4*j**3 + 4*j**2 + j - 1. Let d be o(4). Let s = -201 + d. Suppose 2*u + u - s = -5*a, -4*a = -2*u + 74. Is u a multiple of 17? False Let u = -7 - 0. Let v be (-702)/u + (-12)/42. Suppose 0 = 2*q - v + 16. Is q a multiple of 19? False Is 9 a factor of 27/(-6) + 4 - 253/(-2)? True Let s(x) = -x**2 + 18*x - 12. Is s(16) a multiple of 10? True Suppose -4*a = -7*a + 3. Is 14 a factor of (46/8)/(a/4)? False Suppose -5*h + 7*a = 2*a + 20, -5*h = 2*a + 6. Let k be (20/(-25))/(h/5). Is 11 a factor of (-58)/(-4)*4/k? False Let x(k) be the third derivative of k**7/210 - k**6/720 + k**5/120 + k**4/24 - 2*k**2. Let n(w) be the second derivative of x(w). Is n(1) a multiple of 6? True Let j be 5 + -5 - (-1 - 1). Suppose -5*p = -3*c - 3, -p = -c - c - j. Does 3 divide 4 - ((-1 - c) + -2)? True Let t(c) = c**3 + 4*c**2 - c + 3. Let z be t(-4). Let g = z + -5. Suppose g*n - 59 = -i - 2*i, -i - 3*n = -22. Is 19 a factor of i? True Let o be -3*1*(-232)/12. Let m = -30 + o. Is m a multiple of 13? False Let i(l) = l + 15. Let u be i(0). Suppose u = p + 2*r, -p - 3*p - 3*r = -85. Is 25 a factor of p? True Let f(z) = -2*z**2 - 3*z + 4. Let x be f(-4). Is ((-27)/(-6))/((-3)/x) a multiple of 12? True Let o(l) = l**3 + 5*l**2 + 2*l. Let k be o(-4). Let p = 4 + k. Is p a multiple of 12? True Let l be (40/(-12))/(1/(-18)). Suppose l = 2*v + v. Is 10 a factor of v? True Let o(r) = r**2 + 7*r + 1. Is 13 a factor of o(-13)? False Suppose 0 = 9*b - 4*b - 210. Is b a multiple of 11? False Suppose 0 = -6*u + 12*u - 270. Is 10 a factor of u? False Suppose -5*t - 1 + 16 = 0. Suppose 2*f + 2*x - 56 = 4*x, 12 = -t*x. Does 4 divide 10/3*f/10? True Let z(x) = -x**3 - 7*x**2 - 7*x - 7. Let p = 12 + -19. Does 12 divide z(p)? False Let q(h) = -50*h**3 - h**2 + 1. Is q(-1) a multiple of 25? True Let h(m) = -2*m**3 + 4*m**2 - m - 2. Let s be h(2). Let w = 10 + -4. Is s*((-9)/w - 0) a multiple of 3? True Suppose -3*l - 5*t + 2 = -132, 3*l = 3*t + 126. Is l a multiple of 43? True Let m(l) = 6*l + 26. Let w(q) = 2*q + 9. Suppose 5*s = 3*t - 4*t + 80, 3*s - 76 = 5*t. Let g(y) = s*w(y) - 6*m(y). Is g(-8) a multiple of 13? True Let q(z) be the first derivative of z**4/4 + 7*z**3/3 + 3*z**2/2 - 4*z - 3. Suppose -1 = 2*v + 11. Is q(v) a multiple of 7? True Let z(b) = -2 + 1 - 1 + 9*b - b**2 - 4. Is z(6) a multiple of 12? True Let m(k) = -21*k + 8. Let t(i) = 20*i - 7. Let p(q) = 5*m(q) + 6*t(q). Let o be p(6). Is o/14 - (-2)/(-7) a multiple of 3? True Let p(a) = -a. Let g(o) = 3*o + 4. Let f(t) = g(t) + 4*p(t). Let u be f(-6). Suppose -3*h + 5*k = u, k + k = 4*h - 10. Is 2 a factor of h? False Let v(r) = 18*r - r**2 + 0*r**2 + 1 - 23*r. Is v(-4) even? False Suppose -u = 2*u - 3. Let y be (16 - -1)/(-1 + 2). Let g = u + y. Is g a multiple of 9? True Let u = -17 - -28. Let v = -6 + u. Does 5 divide v? True Let m = 46 - 28. Is m a multiple of 9? True Let n be 48 + 0/(2 - 4). Suppose -4*b + w = -n, 4*w = b + 3 - 30. Suppose -4*u + 42 = 2*k,
{ "pile_set_name": "DM Mathematics" }
o**6/15 - o**4/8 - 219*o**3 + 237*o**2 - 3*o. Differentiate h(l) wrt l. -192*l**2 - 3 Let o(s) = 2*s**2 + 13*s + 4. Let y be o(-6). Let g be (-1)/y*5*(-56)/(-10). What is the second derivative of -g*h + 6*h**2 + 194 - 194 wrt h? 12 Let p(x) be the first derivative of x**4/2 + 5*x**3/3 + x**2 + 36*x - 225. Find the second derivative of p(n) wrt n. 12*n + 10 Suppose 10*x - 74 - 186 = 0. Find the third derivative of x*j**2 + 7 - 7 - 23*j**4 + 18*j**2 - 2*j**3 wrt j. -552*j - 12 Suppose -163 - 67 = -10*g. Suppose 72 = 27*v - g*v. Find the second derivative of -5*n**5 - v*n + 17*n**5 + 28*n + 8*n wrt n. 240*n**3 What is the second derivative of 2815*c + 4582*c**5 + 925*c - 3498*c**5 + 7839*c**5 wrt c? 178460*c**3 Let j(x) = -5*x**3 + 11*x**2 - 86*x + 2147. Let y(w) = 3*w**3 - 6*w**2 + 40*w - 1075. Let d(v) = 6*j(v) + 11*y(v). What is the derivative of d(r) wrt r? 9*r**2 - 76 Let c(i) be the first derivative of -i**6/3 + 648*i**5/5 + i**3/3 - 959*i + 1052. What is the third derivative of c(w) wrt w? -120*w**2 + 15552*w What is the derivative of y + 20*y**3 - 3*y**3 + 312 - 102*y**2 - 217*y**4 + 0*y**3 + 102*y**2 wrt y? -868*y**3 + 51*y**2 + 1 Let a(h) be the second derivative of -76*h**7/7 + h**6/30 + 3*h**4/4 + 25*h**3/3 - 22*h - 69. What is the third derivative of a(w) wrt w? -27360*w**2 + 24*w Differentiate -13492 + 14934 + 419*n**3 + 283*n**3 with respect to n. 2106*n**2 Let a(k) be the third derivative of 0*k**3 + 0*k**4 + 4/21*k**7 + 0*k**6 + 23/60*k**5 + 0 + 0*k + 52*k**2. Find the third derivative of a(m) wrt m. 960*m What is the second derivative of -109617*h**4 + 108540*h**4 + 0*h**2 + 3175*h + 0*h**2 wrt h? -12924*h**2 Find the first derivative of 3*x**3 + 10*x**3 + 5924 + 12*x**3 - 156*x + 307*x + x**2 - 147*x wrt x. 75*x**2 + 2*x + 4 Let j be (-24)/(-36)*6*22. What is the first derivative of -j + 0 - 60 - 200*b + 1 wrt b? -200 Suppose -3*q = 4*q - 14. Suppose -4*w = 3*b - 20, q = 4*b - 2*w - 10. Find the second derivative of -2*f + 33*f**4 + 5*f - 9*f**b - 2*f wrt f. 288*f**2 Let n(u) be the first derivative of 1447*u**3 + 852*u**2 - 4234. Find the second derivative of n(q) wrt q. 8682 Let d(c) be the third derivative of -88*c**8/21 + 71*c**4/12 + 5*c**3/6 + 287*c**2. Find the second derivative of d(m) wrt m. -28160*m**3 Let h(m) = -35*m - 21. Let u(b) = -b + 3. Let q = -106 - -105. Let i(r) = q*h(r) - 28*u(r). Find the first derivative of i(w) wrt w. 63 Let z(v) be the second derivative of 63*v**6/2 - 11*v**3/3 - 43*v + 8. What is the second derivative of z(k) wrt k? 11340*k**2 Let v = 39 + -19. Suppose -8*r = -13*r + v. Find the third derivative of 12*w**6 + 19*w**2 - 3*w**4 - r*w**6 + 3*w**4 wrt w. 960*w**3 Let r(b) be the second derivative of 1474*b**3/3 + 2617*b**2 + 10260*b. What is the first derivative of r(f) wrt f? 2948 Suppose 2*z + 4*p = 44 + 6, -4*z + 2*p + 70 = 0. Find the first derivative of z*a + 5 + 24 - 72*a + 8 - 128*a wrt a. -181 Suppose 2*y - 8 = 0, 0 = -t + 6*t - 4*y - 4. What is the first derivative of g**3 - 5 - 5*g**2 - 32 - t + 2*g**3 wrt g? 9*g**2 - 10*g Let k(g) be the second derivative of g**8/4 + 2*g**6/15 - 1273*g**4/6 + 47*g. What is the third derivative of k(n) wrt n? 1680*n**3 + 96*n Suppose 112 = 69*q - 55*q. Let t be 9/(-2)*(-2)/3. Find the second derivative of q*w**3 + 0*w**t - w**3 + 17*w - 5*w wrt w. 42*w Let x(l) = -242 + 80*l + 3*l - 48*l + 280*l. Let p(u) = -79*u + 60. Let s(a) = -9*p(a) - 2*x(a). Differentiate s(g) with respect to g. 81 Let n = 242 - 238. Find the third derivative of -6*z**3 + 93*z**2 - 197*z**2 + z**4 + 0*z**n wrt z. 24*z - 36 Let f = 712 + -692. What is the first derivative of 80*x + 31 - 77 - 58 - 19*x - f wrt x? 61 Let o = 160 + -158. Differentiate 30 + 104*h**o - 104*h**2 + 15*h**4 wrt h. 60*h**3 What is the third derivative of 16557 - 33106 + 14634*g**2 + 1651*g**3 + 16549 wrt g? 9906 Let m(i) be the second derivative of 76/3*i**4 - 4 - 5*i + 49/6*i**3 + 1/2*i**2. Find the second derivative of m(d) wrt d. 608 Let u(o) be the second derivative of 4898*o**6/15 - 5*o**3/6 + 85*o**2 + 8873*o. Find the second derivative of u(y) wrt y. 117552*y**2 Suppose 156 = 3*a - 3*t, -2*t + 104 = 2*a + 3*t. Let i = a - 46. Find the third derivative of 68*h - 6*h**i - 4*h**2 - 68*h wrt h. -720*h**3 Suppose -220 + 50 = 5*g. Let y = 36 + g. What is the third derivative of 13*d**y + 0*d**6 + 3*d**6 + 12*d**6 wrt d? 1800*d**3 Suppose -28*z = -141*z + 110 + 116. Let m(b) be the first derivative of -8 - 25/3*b**3 + 9/2*b**z + 0*b. What is the second derivative of m(s) wrt s? -50 Let x(a) be the first derivative of -1705*a**4/4 - 2078*a - 241. Differentiate x(u) with respect to u. -5115*u**2 Let n = 368 + -358. What is the first derivative of -n*i - 216 - i + 527 - 118 + 6*i**2 wrt i? 12*i - 11 Let g(i) be the second derivative of -3*i**8/56 - 17*i**5/4 + 1559*i**4/12 + 1307*i. Find the third derivative of g(f) wrt f. -360*f**3 - 510 What is the second derivative of -4332*r + 5*r**2 + 37878*r**3 - 38119*r**3 - 3008*r wrt r? -1446*r + 10 Suppose 4*l = 4*k, 8 = 2*k + 3*l - 7*l. Let j = k - -6. What is the third derivative of -2*h**j + 30*h**2 - 9*h**6 - 17*h**6 wrt h? -3120*h**3 Find the third derivative of 13664*c**4 - 2369552*c**2 + 2373059*c**2 - 3*c + 3*c - 2590*c**4 wrt c. 265776*c Let f(b) be the third derivative of -11/30*b**5 - 11*b**2 + 0 + 0*b**4 + 1/60*b**6 + 0*b + 23/3*b**3. Differentiate f(s) with respect to s. 6*s**2 - 44*s Let a(w) be the first derivative of 90 - w**5 + 0*w**3 + 0*w + 2*w**4 + 77/2*w**2. What is the second derivative of a(h) wrt h? -60*h**2 + 48*h What is the second derivative of -44 + 234*d**3 - 119*d**3 + 5*d - 115*d**3 + 314*d**4 + 248*d**4 wrt d? 6744*d**2 Let q(p) be the first derivative of -51*p**6 - 2*p**5/5 + 791*p**2/2 - 1298. Find the second derivative of q(c) wrt c. -6120*c**3 - 24*c**2 Let w(k) = 2 + 6 + 4 + k - 7. Let i be w(-3). Find the second derivative of -12*u**i + 22*u + 3*u - 9*u wrt u. -24 Let w(b) be the second derivative of b**6/15 + 586*b**5/5 + 9173*b**2/2 + 8783*b. What is the first derivative of w(x) wrt x? 8*x**3 + 7032*x**2 Let q = 118 + -108. Let z(i) be the first derivative of -q - 2*i**3 + 5 - 2*i - 1 - 23. What is the derivative of z(k) wrt k? -12*k What is the first derivative of -14 + 10438*v**4 - 317 - 13254*v**4 wrt v? -11264*v**3 Let l(o) be the third derivative of -15*o**8/7 + o**5/60 - 496*o**3/3 - 3*o**2 - 2*o - 26. What is the third derivative of l(j) wrt j? -43200*j**2 Let h(t) be the third derivative of -521*t**8/336 - 7*t**4/24 + 2*t**3 - 2359*t**2. What is the second derivative of h(c) wrt c? -10420*c**3 Suppose -4*g - 22 = -5*h, -2*h = -5*h - 2*g. Find the third derivative of -168*q**6 - 3*q**4 + 47*q**6 + 3*q**4 + 124*q**h wrt q. -14520*q**3 Let u(a) = 7*a + 38. Let m be u(-5). What is the derivative of 4 - 3 - 4 + p - m*p**2 + 0*p**2 wrt p? -6*p + 1 Let m(h) be the second derivative of -43/2*h**2 + 0 + 1/3*h**4 + 7/6*h**3 + 83*h. Differentiate m(w) wrt w. 8*w + 7 Let u(i) be the second derivative of 0*i**2 + 0*i**4 - 5/42*i**7 + 7/6*i**3 + 48*i + 13/30*i**6 + 0 + 0*i**5. What is the second derivative of u(y) wrt y? -100*y**3 + 156*y**2 Let w(y) be the third derivative of -3*y**5/20 + 69*y**4/4 - y**3/6 + 368*y**2 - 2*y. What is the second derivative of w(m) wrt m? -18 Let u(d) = 2013*d**4 - 8*d - 324. Let t(h) = -671*h**4 + 2*h + 109. Let a(p) = -17*t(p) - 6*u(p). What is the second derivative of a(z) wrt z? -8052*z**2 Let f(c) be the second derivative of 1477*c**5/10 + c**4/6 + 251*c**3/6 - 3640*c. Find the third derivative of f(i) wrt i. 17724 Let b = 48 + -35. Suppose -b = -2*k - 7. What is the second derivative of -k*a**3 - a**3 - 4*a**3 - 4*a - 7*a**3 wrt a? -90*a Let p(k) be the second derivative of -11*k**5/20 - k**4/4 + 741*k**2/2 + 833*k. Find the first derivative of p(y) wrt y. -33*y**2 - 6*y Suppose 6*n = 7*n - 4. Find the second derivative of -12*c - 14*c**4 - 131*c + 10*c**n wrt c. -48*c**2 Let b(f) = -594*f**4 - 9*f**3 + 6*f**2 + 1596*f. Let m(n) = 2*n**4 + 3*n**3 - 2*n**2. Let x(v) = -b(v) - 3*m(v). Find the second derivative of x(t) wrt t. 7056*t**2 What is the second derivative of 2*x + 363 + 549 + 73*x**5 - 356*x**5 - 357*x**5 wrt x? -12800*x**3 Let x = 232 + -140. Find the third derivative of 114*
{ "pile_set_name": "DM Mathematics" }