text
stringlengths
518
8.19k
meta
dict
actor of 41538? True Does 128 divide 13401856? True Is 1072800 a multiple of 80? True Does 308 divide 8040956? True Is 375821 a multiple of 57? False Does 19 divide 195462? False Is 3712163 a multiple of 27? False Is 116764 a multiple of 155? False Does 33 divide 37191? True Is 1455948 a multiple of 702? True Is 27380 a multiple of 22? False Is 7 a factor of 87950? False Does 4 divide 75144? True Is 3444284 a multiple of 149? True Is 83 a factor of 89557? True Is 8037021 a multiple of 9? False Does 10 divide 527903? False Is 219 a factor of 4803511? False Is 367 a factor of 82995? False Does 19 divide 1954606? True Does 1050 divide 20554329? False Is 92 a factor of 63629? False Is 171362 a multiple of 328? False Does 10 divide 30110? True Does 20 divide 479155? False Is 19 a factor of 212724? True Does 64 divide 1791488? True Is 782020 a multiple of 305? True Does 37 divide 46269? False Does 16 divide 2346480? True Is 1184 a multiple of 54? False Is 373584 a multiple of 37? False Is 133968 a multiple of 64? False Is 48 a factor of 67968? True Is 11 a factor of 414733? True Is 338 a factor of 640510? True Is 22 a factor of 280302? True Is 77 a factor of 105060? False Does 39 divide 1634763? True Does 4 divide 158622? False Is 28 a factor of 256284? True Is 11 a factor of 41767? True Is 553 a factor of 395948? True Does 132 divide 979308? True Is 7 a factor of 27572? False Does 285 divide 936225? True Is 4666662 a multiple of 1554? True Does 2 divide 423894? True Does 14 divide 4746? True Is 11 a factor of 1007822? False Is 29 a factor of 11397? True Is 13 a factor of 695742? False Is 190 a factor of 2186899? False Is 222999 a multiple of 378? False Does 8 divide 160855? False Is 257 a factor of 8299449? False Is 484 a factor of 294272? True Is 214 a factor of 736160? True Does 127 divide 260096? True Is 19 a factor of 16586706? False Is 12 a factor of 305832? True Does 590 divide 156350? True Does 460 divide 10023587? False Does 7 divide 135723? True Is 642304 a multiple of 104? True Does 28 divide 2310952? True Does 18 divide 2229605? False Is 3090939 a multiple of 211? True Is 9345168 a multiple of 126? True Is 58443 a multiple of 33? True Is 78648 a multiple of 226? True Is 117095 a multiple of 115? False Is 2360280 a multiple of 51? True Does 12 divide 698620? False Is 13 a factor of 1337024? True Is 67182 a multiple of 6? True Is 19 a factor of 41841? False Is 13746 a multiple of 237? True Is 32 a factor of 893984? True Is 7931883 a multiple of 606? False Does 7 divide 1985942? True Does 22 divide 11966834? True Is 710 a factor of 146260? True Does 68 divide 170612? True Does 896 divide 235282? False Is 151 a factor of 286907? False Does 35 divide 54165? False Is 132759 a multiple of 99? True Is 94240 a multiple of 304? True Is 394 a factor of 6059749? False Is 33 a factor of 117051? True Is 156405 a multiple of 4? False Does 185 divide 9330105? True Is 1110293 a multiple of 133? False Does 272 divide 69282? False Is 1733505 a multiple of 11? False Is 59160 a multiple of 30? True Does 59 divide 264733? True Is 471 a factor of 2321222? False Is 313 a factor of 242888? True Is 4067637 a multiple of 147? True Is 15036 a multiple of 4? True Does 42 divide 120334? False Is 15465221 a multiple of 902? False Is 294 a factor of 36939? False Does 35 divide 106680? True Is 5858928 a multiple of 276? True Is 64 a factor of 9656896? True Is 35 a factor of 156100? True Does 3 divide 3693392? False Is 960773 a multiple of 49? False Does 96 divide 28800? True Is 4102497 a multiple of 369? False Is 2531288 a multiple of 46? True Is 65 a factor of 894669? False Does 99 divide 17586994? False Is 6270148 a multiple of 283? True Is 859945 a multiple of 151? True Is 372184 a multiple of 262? False Is 10 a factor of 1139870? True Is 74504 even? True Is 609352 a multiple of 235? False Is 5 a factor of 168785? True Is 1561417 a multiple of 671? True Does 15 divide 78849? False Is 215 a multiple of 5? True Is 55 a factor of 1198566? False Is 223 a factor of 2638313? True Does 28 divide 34748? True Does 163 divide 786595? False Is 472225 a multiple of 13? True Does 287 divide 902615? True Is 36813 a multiple of 21? True Does 200 divide 23800? True Is 2056 a multiple of 8? True Is 1462091 a multiple of 249? False Does 533 divide 14345270? False Is 12 a factor of 9036460? False Does 120 divide 1055280? True Is 1339880 a multiple of 779? True Does 558 divide 19491253? False Is 19 a factor of 7982812? True Does 11 divide 198785? False Is 172 a factor of 4397008? True Is 1960330 a multiple of 38? False Is 187070 a multiple of 10? True Is 10 a factor of 20168? False Does 39 divide 29329? False Is 111 a factor of 164181? False Is 3002457 a multiple of 173? False Is 63585 a multiple of 785? True Is 10537879 a multiple of 369? False Does 11 divide 330298? False Is 13 a factor of 197? False Is 35 a factor of 456946? False Is 688 a factor of 3016192? True Is 1506081 a multiple of 11? False Is 209 a factor of 411312? True Does 1380 divide 13550386? False Is 139 a factor of 365655? False Is 3959311 a multiple of 589? False Is 43 a factor of 1134210? False Does 237 divide 292884? False Is 1312219 a multiple of 1357? True Is 6613544 a multiple of 17? True Does 29 divide 25261? False Does 112 divide 263805? False Is 336 a factor of 878649? False Is 11 a factor of 10400511? True Is 155686 a multiple of 482? True Is 19188 a multiple of 6? True Is 1195 a factor of 6486460? True Is 644587 a multiple of 35? False Is 1315982 a multiple of 158? True Is 498764 a multiple of 280? False Does 56 divide 358792? True Does 1149 divide 1178874? True Does 831 divide 2820328? False Is 834420 a multiple of 38? False Is 98511 a multiple of 56? False Is 58 a factor of 5684870? True Does 1097 divide 4774144? True Is 249 a factor of 7685385? True Does 125 divide 1537500? True Is 185920 a multiple of 20? True Is 3 a factor of 191751? True Does 323 divide 271966? True Is 43822 a multiple of 8? False Does 558 divide 7022250? False Does 112 divide 3893456? True Is 9619 even? False Is 36408 a multiple of 123? True Is 316 a factor of 1589035? False Does 313 divide 237880? True Does 415 divide 777970? False Is 29582 a multiple of 22? False Is 57 a factor of 12681? False Is 8 a factor of 3266704? True Does 156 divide 544743? False Is 1296 a factor of 10185666? False Is 5592 a multiple of 233? True Is 269 a factor of 100068? True Does 35 divide 523355? True Is 339 a factor of 815206? False Is 2975589 a multiple of 191? True Is 156 a factor of 563785? False Is 108630 a multiple of 10? True Is 7190057 a multiple of 133? False Is 135 a factor of 216675? True Does 14 divide 1528402? False Is 197247 a multiple of 5? False Is 576 a factor of 5659200? True Is 467 a factor of 14813707? True Does 276 divide 1240896? True Is 777480 a multiple of 40? True Does 10 divide 45540? True Is 36 a factor of 989565? False Is 1489296 a multiple of 16? True Is 14 a factor of 211414? True Is 29 a factor of 54462? True Is 1175193 a multiple of 154? False Is 435308 a multiple of 182? False Is 111 a factor of 22089? True Is 70 a factor of 794? False Is 762330 a multiple of 68? False Does 16 divide 43104? True Is 1580424 a multiple of 125? False Is 62 a factor of 333684? True Does 157 divide 177496? False Is 13 a factor of 2698436? True Does 6 divide 333677? False Is 12110208 a multiple of 1464? True Does 116 divide 251705? False Is 42 a factor of 129822? True Is 9 a factor of 3791? False Does 540 divide 3331269? False Is 9 a factor of 540335? False Does 19 divide 31825? True Does 11 divide 15862180? False Is 125 a factor of 2559764? False Is 997500 a multiple of 133? True Does 50 divide 365850? True Does 260 divide 7758305? False Does 707 divide 3946340? False Is 4414823 a multiple of 291? False Does 73 divide 116289? True Is 27 a factor of 192888? True Does 38 divide 586109? False Does 17 divide 149022? True Is 16854576 a multiple of 1471? False Is 707796 a multiple of 12? True Is 282048 a multiple of 4? True Is 31364 a multiple of 23? False Is 1670699 even? False Is 194 a factor of 1535898? True Does 4 divide 4648? True Is 143 a factor of 22205612? True Does 151 divide 26411335? False Is 2989160 a multiple of 172? False Is 20896
{ "pile_set_name": "DM Mathematics" }
(a) 7 (b) n (c) f c Let f be 4/(-77) + (-16)/(-14) + -1. What is the closest to f in -0.4, 2/23, -2? 2/23 Let o = -8.5 + 9. Let x(s) = -s**3 + 13*s**2 - 15*s + 41. Let i be x(12). Which is the nearest to -2/11? (a) 3 (b) i (c) o c Let k(l) = 39*l + 959. Let z be k(-24). Which is the nearest to 1/2? (a) z (b) -7 (c) 3 c Suppose -2*n + 24 = 2*n. Suppose -v = -4*u - 10 - n, -2*v - 13 = u. What is the nearest to -2/7 in 0.06, u, -2/3? 0.06 Let d = 0.1 + -1.1. Let q = -46 - -45.982. Let k = -0.018 - q. Which is the nearest to d? (a) -1 (b) -0.1 (c) k a Let r(w) = -w**3 - 6*w**2 + 6*w - 31. Let f be r(-7). Let u be f/30 - 32/10. Let p = -0.2 + 0.6. Which is the nearest to -0.2? (a) u (b) p (c) -1/3 c Suppose -3*h = -13*h + 10. Which is the nearest to h? (a) -25 (b) -2/7 (c) -4 (d) -1/3 b Let g = -4 - -5. Let r = 1694/3 - 566. Which is the closest to -1? (a) 0.4 (b) r (c) g b Let v be (4/(-12))/(161/126). Let b = 1 + 0. What is the closest to 0.1 in b, v, -0.1? -0.1 Let p = -53.8 - -50.8. Which is the closest to 0.19? (a) 4 (b) -1/7 (c) p b Let o = 1.45 - 0.7. Let d = 0.6 - o. Let f = d - 0.25. What is the nearest to 0.5 in -1/2, -3, f? f Let z = 1574.2 + -1574. Which is the closest to 1/3? (a) 2 (b) z (c) -4 (d) 4/9 d Let y be (9/7)/(-3) - 497/(-931). What is the closest to 0.1 in -4, -0.4, 4, y? y Let z be (-12)/9 + 49/84. Let r = -0.01 + 0.51. What is the nearest to z in r, 4, 3? r Let f = 0.292 - 0.092. Let o = -1/48 + -89/336. What is the nearest to f in 1, 2/3, o? 2/3 Let o be (9/(-4))/((-24)/(-448)). Let b be 12/o + 8/14. Let i = 2.6 - -0.4. What is the closest to 3 in i, b, 2? i Let g = 0.05 + -0.45. Let m = g + 0.53. Let p = m - 6.13. Which is the closest to p? (a) 3 (b) -5 (c) -3/5 b Let y = 0.194 - 4.194. What is the nearest to 2/15 in -0.3, -3, y? -0.3 Suppose 12*h + 1680 = 8*h. Let d be 4/(-14) - h/98. Which is the nearest to d? (a) -0.3 (b) -0.1 (c) 0 c Let d = -18 + 21. Let m = 67 + -67.4. Which is the nearest to d? (a) m (b) -3 (c) -0.3 c Let i be ((-272)/18)/((-1)/(-16)). Let p = i - -242. Which is the nearest to -3? (a) 4 (b) p (c) 1 b Let i = 244 - 246. What is the closest to 2 in i, 1, 0.22? 1 Let o = 0.224 - 5.224. Which is the closest to -2/23? (a) o (b) 4 (c) -0.4 c Let p be (-105)/(-14) + -9 - 162/(-4). Which is the nearest to -0.2? (a) 5 (b) 2 (c) p (d) -0.3 d Let m = -1.98 + -0.02. Suppose 3*y = -d - 113, 0 = -0*y - y - 2*d - 46. Let w be y/(-80) + (-4)/16. What is the closest to 0.2 in -0.1, w, m? w Let d = 5586 + -5588. Let z = -44/49 - -2/49. Let w = 5.92 - -0.08. What is the closest to d in w, 0, z? z Let h be (28/6)/((-2)/15). Let t = -969 + 4015/4. Let l = h + t. What is the nearest to -1 in 2/25, 5, l? l Let y be 2 - 0 - 32/48. Which is the closest to -3? (a) -5 (b) y (c) -0.1 a Let s = 0.02 + -0.12. Let p = 109 - 113. What is the nearest to -1 in p, s, -1/3? -1/3 Let p be -9 + (-352)/77 - (-3)/(-7). Which is the nearest to -1? (a) 1/4 (b) p (c) 0.1 (d) 2/5 c Let f(r) = -r + 5. Let v be 0 - 15/(-6)*2. Let d be f(v). Let u be (-1 - 3/15) + 2. Which is the closest to 0? (a) d (b) u (c) -0.4 a Let k be (3/(-27))/(1/(-6)). Let f = 16 + -65/4. Let p = -15.3 - -15.2. Which is the nearest to p? (a) k (b) f (c) 0.4 b Let t = 0.2 + -0.2. Let o = 929 + -933. What is the closest to t in 1/10, -2, o? 1/10 Let b = 0.4689 + 0.0311. What is the nearest to -0.1 in -80, 0, b? 0 Let y = -1.7 - 0.3. Let m = 2.2 + y. Let z = 683 + -679. Which is the nearest to m? (a) z (b) 2 (c) 0.2 c Let s be (-2 - 38)*48/(-30). Let z = 324/5 - s. What is the nearest to 1/2 in z, 1, -0.3? z Suppose 0 = 5*h - 203 + 178. What is the closest to 1/2 in -5, -2/3, -9, h? -2/3 Let u be (62/(-70) - (-2)/(-5)) + 1. What is the closest to u in 4, -0.5, 34? -0.5 Let v be ((-4)/5)/(1/((-15)/20)). What is the nearest to -1/3 in v, -2/11, 21? -2/11 Let r = -4.115 - -0.115. Let b be -1 + ((-4)/(-2) - 0). What is the closest to b in -3, 1/11, r? 1/11 Let q = 0.1224 + 0.0776. What is the nearest to -5 in -1/2, -3/7, 1, q? -1/2 Let x = -5.106 - -0.106. Let f = 22 - 21.5. Which is the nearest to -15? (a) f (b) x (c) -0.5 b Let w = -0.129 - 0.071. Let u = -0.2 + 0.1. Let y = 0 - u. Which is the nearest to y? (a) w (b) -4/3 (c) 4 a Let i = 57 - 227/4. Let z be 0/(-3) - (-3 + -2). Suppose z*p - 3*t = -3, -4*p + 3*t = -t - 4. Which is the nearest to i? (a) p (b) 4 (c) 5 a Let d = -9.6 + 13.6. Which is the nearest to 0.01? (a) 0.1 (b) -2 (c) d a Let a = -1.4 - -0.4. Let d = -0.47 + 43.57. Let z = d + -43. What is the closest to 0.1 in z, 2, a? z Let j = -361.707 + 362. Let n = j - -0.007. Which is the nearest to -1? (a) n (b) 2 (c) -5 a Let v = 120.7 + -121. Let o(l) = l + 5. Let f be o(-4). Let t = 126/5 + -25. What is the closest to -0.2 in f, v, t? v Let b = -5.4 - -17.4. Let h = 12.3 - b. Let o = 17/3 - 6. What is the closest to -1 in 2/5, h, o? o Let h = 423/4 - 105. Which is the closest to 0.1? (a) 1 (b) -2 (c) -3 (d) h d Let w = -0.3 + 0.2. Suppose -3*z - 36 = -4*l, -4*l = 11*z - 16*z - 44. Which is the nearest to w? (a) 5 (b) 4 (c) z c Let q = -58.1 + 54.1. Which is the nearest to -0.2? (a) 0.035 (b) q (c) 1/3 a Let z = 0.6 - 1. Let t be (-11 - ((-358)/14 + 15))/(6/4). What is the closest to 1 in 0.5, z, t? 0.5 Let r = -4 - -2. Let u be (-6)/(-22) + 1185/(-4345). Let f(i) = -i**3 + 4*i**2 - 5. Let s be f(4). Which is the nearest to r? (a) u (b) s (c) -0.2 c Suppose 0 = 4*r - 0*r - 8, 4*p + r = 34. Let h be (-6)/p - 69/(-60). Let q be 6/(-39) - (-210)/(-325). What is the nearest to 0.1 in h, -3, q? h Suppose -16 = h - 21. Which is the nearest to 17? (a) h (b) -5 (c) -4 a Let u be (15/(-13) - -1)*(-15 - -13). What is the nearest to 3 in 0, u, -3, -5? u Let v = -1.14 + 1.47. Let g = 2.2 - 2.33. Let x = g + v. What is the nearest to 2/5 in -1/8, -4/5, x? x Let s = -94/105 + 16/21. Let k = 104.4 + -104.6. Which is the closest to 0? (a) s (b) k (c) 0 c Let m = 2/13 - 19/39. Let h = -5335/7124 - 2/1781. What is the closest to m in -4, -5, h? h Let y = -0.338 - -0.538. Let x = 0.3 - 0.35. What is the closest to y in x, 0, 4? 0 Let f = 3.43 - 3.43. What is the nearest to f in 1/3, -2, -2/13, -3? -2/13 Let w = -0.03 + -37.97. Let z = 37 + w. Which is the nearest to z? (a) -2/13 (b) 0.06 (c) -4 a Let m = -18 + 20.2. Let j = m + -2.7. What is the nearest to -2 in 5/3, 3/5, j? j Let q = 11/56 + 5/56. Let l = 0.1 + -3.6. Let z = -3 - l. Which is the nearest to 0? (a) q (b) 0.2 (c) z b Let s = 0.06 - 2.06. Let h = -50.7 + 53. Let z = h - 2.1. Which is the nearest to -2/3? (a) s (b) -0.4 (c) z b Let f be (1/4)/(30/(-20)). Let t be ((-51)/(-57) - 1)/(0 + 1). Let i be (-4)/10*15/18. Which is the nearest to i? (a) f (b) 0.2 (c) t a Suppose -2*l - 4 = -3*t, 0 = 4*t - 7*t + 5*l + 1. Let j be ((-1 - 4) + t)*(-1 - -2). Which is the nearest to -1? (a) -18 (b) 0.2 (c) j b Let b = -3.5486 - 0.3734. Let g = b + -0.078. What is the nearest to 1/4 in -2/13, g, -0.4? -2/13 Suppose -91 = 3*z - 205. Suppose z = -2*r + 40. What is the nearest to 1 in -2, -0.2, r? r Let d be (-253)/(-4) - 3/12. Let q = 249/4 - d. Let i = -88 + 87. What is the closest to i in 4, q, 1? q Let w = 0.6 + 1.4. Let n = -15.91 - -23.91. What is the nearest to -1/3 in n, 0.08, w? 0.08 Let f be 3 - (6 + (-3 - 5 - -4)). What is the closest to 2 in -10, 2, f? 2 Suppose 11*d - 15*d = -8. Let y = 23 - 23.1. Let g = -1 - -1. Which is the closest to y? (a) g (b) -2/11 (c) d b Let r = -50 + 55. Suppose 23 = 9*i + r. Which is the closest to -0.1? (a) i (b) 2/5 (c) 4/3 b Let o = -31 + 33.7. Let q = 2.2 - o. Which is the nearest to 0? (a) 2/9 (b) q (c) 0 c Suppose -16 = 33*u - 34*u + 3*i, -5*u + 4*i = -25. What is the closest to u in -3, -4, 428? -3 Let b = -1403 + 1399. What is the nearest to b in 4/5, 2, -6/7, -0.3? -6/7 Let v be 3 - ((-469)/(-98) + 12/(-8)). Suppose -1 + 21 = -4*x. Which is the closest to v? (a) x (b) -1 (c) -0.13 c Suppose -d + 8 = 9. Let m be (-7)/(21/(-72)) + 2. Let b be m/(-10) + (10 - 7). What is the nearest to d in b, 8, -0.1? -0.1 Let p = -12422 - -49435/4. Let r = p - -63. What is the closest to r in 0, 0.4, 3? 0 Let u = -120 + 838/7. Let c be (-12)/(-4) + -4 - -4. Let d be c/2*48/36
{ "pile_set_name": "DM Mathematics" }
9 smaller than 7189? False Which is smaller: 116925 or 116922? 116922 Is -2.91134 greater than or equal to -1? False Which is smaller: 120233 or -0.2? -0.2 Which is bigger: -76719 or -76716? -76716 Which is greater: 28809 or 28806? 28809 Which is smaller: -106568/9 or -11842? -11842 Is -4 equal to 111609? False Which is smaller: 0.1 or 26/175? 0.1 Is 0 smaller than -7/6998? False Which is bigger: -243319 or -1703242/7? -243319 Which is greater: 1 or -3/32359? 1 Which is bigger: -0.5 or -17556? -0.5 Which is smaller: -38 or -4/16139? -38 Which is smaller: -24/2489 or 1? -24/2489 Which is greater: 977 or 6491? 6491 Which is bigger: 9877.34 or -2? 9877.34 Which is smaller: 11890 or 5/4? 5/4 Which is greater: 1512/61 or 26? 26 Is 10495 smaller than 111? False Which is smaller: -0.4 or 26084? -0.4 Is -198/719 != 1/2? True Is -2/3 greater than or equal to 6.32922? False Is -77241 at least -77244? True Which is greater: 653542 or 653541? 653542 Is -3298101 > -3298101? False Is -450/11 at least -873? True Is -90857 bigger than -636008/7? True Which is greater: 4335599 or 2/3? 4335599 Which is smaller: 16 or 1.2809? 1.2809 Is -1/5 smaller than 222921? True Is 196.2 at least 7/12? True Which is smaller: -1 or -2184/6263? -1 Which is bigger: -170922 or -2? -2 Which is greater: -2396 or -2407? -2396 Which is greater: -340660 or -1021976/3? -1021976/3 Is -1260 greater than -31? False Which is smaller: 3642/1981 or 3? 3642/1981 Which is greater: -0.018 or -0.445? -0.018 Which is bigger: 48520/9 or 5392? 5392 Is 640503 at least 640499? True Which is smaller: 0 or -715/5042? -715/5042 Which is bigger: 1131 or 82468/73? 1131 Is -1 <= -2/713595? True Is 1 at most as big as -18/1525? False Is 0.23 less than or equal to 125.82? True Is 20/191 smaller than 12/41? True Are -378774 and -378779 unequal? True Which is smaller: -150095 or -150094? -150095 Is -57518 bigger than -57518? False Is -106652 at most -106649? True Is -17798 less than or equal to -17782? True Which is smaller: -2854 or 19? -2854 Which is greater: -3 or -308193? -3 Is 278 equal to 43494/157? False Is -9368/9 < -1041? False Which is smaller: -2/483 or 3274/3? -2/483 Is -1581 less than 262/13? True Is 44 at least as big as 1595? False Is 35 >= 1438? False Is -5444220 at least -5444220? True Is 0 <= 72/9173? True Are 45 and -850 nonequal? True Which is bigger: -1/3767 or 0? 0 Is 75744 at most as big as 75746? True Is -7 greater than or equal to -820? True Is 5503 at least as big as 5503? True Is -270/62581 bigger than 0? False Which is smaller: -409/153 or -2? -409/153 Does 2/1326765 = -1? False Is -0.2 at least as big as -391085? True Which is smaller: -463 or 201? -463 Which is greater: 12 or 5666/481? 12 Which is smaller: 204965 or 204964? 204964 Is -118039 greater than or equal to -118033? False Which is smaller: -11111/4 or -2777? -11111/4 Is 13158 at least as big as 13158? True Is 4553 < 1178? False Is 0 >= 467637? False Is -89 equal to -13265/148? False Is -431498 bigger than -431502? True Is 11075 less than 11078? True Is 1 not equal to 1/3922166? True Is 3763/7 at least as big as -21? True Which is smaller: 257941 or 257942? 257941 Which is smaller: -73.3 or 25? -73.3 Is -1/3 < -139746.6? False Is -680288 != -680288? False Is -546/431 <= -2? False Which is smaller: 26.8785 or -1/2? -1/2 Which is greater: 0.402 or 480.9? 480.9 Which is smaller: -3/10 or -3306? -3306 Is -4180.56 bigger than -1.2? False Is -1 bigger than 1/114679? False Which is smaller: 3/7 or 32.108? 3/7 Is -179240/7 greater than or equal to -25606? True Which is smaller: 0 or 851/869? 0 Which is smaller: -16755/106 or -157? -16755/106 Which is smaller: -69789 or -69806? -69806 Do -1734 and -1670 have the same value? False Which is smaller: 0.12 or 1267? 0.12 Which is smaller: -5/4 or 130348/5? -5/4 Is 64602 less than 64601? False Which is greater: 1 or -20270? 1 Which is smaller: 3/19 or 42280? 3/19 Is -7621 at most as big as -23? True Are 0 and 750/1171 nonequal? True Do 132/5 and 2/1573 have different values? True Which is smaller: -1 or 1/738132? -1 Is -197 greater than -3559/18? True Which is bigger: 148119 or 148122? 148122 Is -0.31755 at least as big as 1? False Is 647958 bigger than 1295915/2? True Is -41434 != -3? True Is -5/2061993 at least -1? True Is -201977 < -201976? True Which is bigger: 22442/15 or 1497? 1497 Are -0.2 and 1692.1 non-equal? True Are -421.5 and -8 unequal? True Which is smaller: 972 or 978? 972 Which is smaller: -202/3 or 1/3? -202/3 Is -33743 greater than or equal to 0? False Which is greater: -1 or -0.094796? -0.094796 Is -545 <= -2/165? True Do 672 and 2789 have different values? True Which is smaller: 1442 or 1352? 1352 Which is bigger: -5643317 or -5643316? -5643316 Which is greater: 149 or 52? 149 Is 2 at most as big as -35167? False Which is greater: -3239 or 0? 0 Which is smaller: 88 or -0.23? -0.23 Which is smaller: 45 or 11920/257? 45 Which is smaller: 427074 or 427069? 427069 Which is smaller: 70129/4 or 17533? 70129/4 Is 0 bigger than -1/110065? True Which is smaller: -1/2 or -136/2897? -1/2 Is 150991 < 4? False Which is smaller: 60727 or 60745? 60727 Is 2 at least -1041847? True Are -65 and -1.42 unequal? True Which is bigger: 828/47 or 19? 19 Which is smaller: -201011 or -804045/4? -804045/4 Is 143 less than or equal to -8/67? False Is 13 less than or equal to 6797/573? False Which is smaller: 1978/31 or 0.2? 0.2 Is -158131 greater than 2/9? False Is 819 != -831? True Is 26836 at least 26836? True Is -52/11 < -18? False Which is smaller: -429 or -416? -429 Is 3375471 less than 3375471? False Which is bigger: 1 or -1/415408? 1 Is 26963 bigger than 26986? False Is 3081/19 != -0.15? True Is 2722/1085 at most 0? False Which is bigger: 7/233886 or -1? 7/233886 Is -4751783 < -4751784? False Is -208784 at least as big as -208784? True Is 228558 at least 228551? True Is 38765 at most as big as 116293/3? False Is 754 > 74650/99? False Is 91 at most as big as 43? False Which is greater: 178916 or 178915? 178916 Which is bigger: -13 or -117? -13 Is 346 at most as big as 288? False Is -1 > -5/382646? False Is 192761 greater than or equal to 0.2? True Is -27 not equal to 21715? True Which is smaller: 801/10090 or 0? 0 Which is bigger: -1 or -631/391? -1 Is 53591/3 at most 17864? True Which is smaller: -2075337 or -2075338? -2075338 Which is smaller: -4/593951 or 0? -4/593951 Which is bigger: -9776 or -9811? -9776 Which is smaller: 22243 or 1? 1 Is 41/5518 at least 1? False Do -231/10 and -1/4 have the same value? False Is -27 greater than or equal to -4472? True Which is smaller: 1 or -404/1631? -404/1631 Which is greater: -5 or -1405/358? -1405/358 Which is bigger: 1 or 1/25854? 1 Which is smaller: 1060 or 1085? 1060 Which is smaller: 159.4 or 69? 69 Which is greater: 2462 or 2406? 2462 Which is bigger: 217/253 or 2? 2 Are 373040/7 and 53290 equal? False Is 256599 greater than or equal to -2? True Is 6458 not equal to 6457? True Which is smaller: -587 or -1.838? -587 Is 131370 at most 131369? False Which is smaller: 138437 or 1107501/8? 138437 Are 0 and -4/162547 unequal? True Which is greater: 382324 or 382323? 382324 Is 1735076 smaller than -0.4? False Which is bigger: 328350 or 328351? 328351 Is -8/11495 smaller than 1? True Are -9459793/4 and -2364948 equal? False Which is greater: 41/30911 or -1? 41/30911 Is 0 <= -18/7145? False Is 23 greater than or equal to 19? True Which is smaller: -786 or -686? -786 Which is greater: -1 or 34280? 34280 Is 0.14 less than -6/8617? False Which is smaller: 4069 or 4057? 4057 Which is smaller: -2009096 or -2009097? -2009097 Is 16069 at least 15898? True Are -2/17989 and -1 unequal? True Is 1 smaller than 15/43931? False Which is bigger: -4938512 or 1? 1 Which is smaller: -85.35 or 0.09? -85.35 Which is smaller: 2010 or 9/13? 9/13 Which is greater: 6/48335 or -1? 6/48335 Which is smaller: 994/995 or 0? 0 Is 1492 at least as big as 1512? False Is -10985/8 greater than or equal to -1374? True Does -2/7 = 5.39182? False Which is greater: 0 or -2/19678767? 0 Which is bigger: 1823 or 20040/11? 1823 Are -820016 and -3280059/4 nonequal? True Which is smaller: 13 or -50501? -50501 Is -685233 at most -685236? False Is 0 at least as big as 2/2593017? False Is
{ "pile_set_name": "DM Mathematics" }
z + 2*z + 2*z)*(3*z - z - z + 2*z - 3*z - 4*z + (-3 + 3 + 2)*(2*z + 2*z - 6*z) + 3*z + z - 6*z) + (0*z + z - 3*z)*(4 - 3*z - 4). -4*z**2 Expand 4*t**2 - t**2 + t**2 + (222 - 222 - 13*t)*(-2*t - 1 + 1). 30*t**2 Expand (-3*s + 3 - 1 - 5)*(5 - 2 + 1)*(4 + 2 - 3*s - 4). 36*s**2 + 12*s - 24 Expand (2 - 2 + 1)*(-225*j + 129*j + 125*j)*(-3 - 2*j**2 + 3). -58*j**3 Expand -2*c**4 + 4*c**4 - 5*c**4 - c**4 - c**4 + c**4 + (-3*c + 2*c + 0*c)*(6*c**3 - c**2 + c**2) - 3*c**4 + 6*c**4 - c**4. -8*c**4 Expand (3*h**2 - 2*h**2 + h**2)*(3*h**2 - h**2 - 6*h**2 - 1). -8*h**4 - 2*h**2 Expand 3*i - 4*i + 4*i - i + 2*i + i + (-2*i + 0 + 0)*(-1 + 4 - 4). 7*i Expand -2*r**2 - 4*r + 4*r + (-16*r - 27*r - 59*r)*(2*r - r - 2*r). 100*r**2 Expand (0 + 2 + 1)*(-35*k + 24*k - 30*k). -123*k Expand (6 + 4 + 2*g - 16)*(-4 - 1 + 6)*(-2*g + 0*g + 0*g). -4*g**2 + 12*g Expand (v + 268 - 268 + 2*v**2)*(3*v + 0*v**2 - v**2 - v**2). -4*v**4 + 4*v**3 + 3*v**2 Expand 4*v - v**4 - 4*v - 31*v**3 + 4*v**4 + 31*v**3 + (-v**2 + 4*v**2 + 0*v**2)*(2*v**2 + 2 - 2). 9*v**4 Expand 3*q**4 - 5*q**4 + 0*q**4 + (2*q**3 - 2*q**2 + 2*q**2)*(-2*q + 5*q - 4*q) + (2*q + 1 - 1)*(11*q**3 - 8*q**3 + 8*q**3). 18*q**4 Expand -2*m**5 + 3*m**5 - 4*m**5 + (2*m**2 - 3*m**2 + 3*m**2)*(-5*m**3 + 2*m**3 + 9*m**3). 9*m**5 Expand (-2*s**2 - s**3 + 2*s**2)*(-5 + 4 + 3) - 1 + 1 - s**3 - s + s - s**3 + (s**2 + 2*s**3 - s**2)*(-1 - 1 + 1). -6*s**3 Expand -2*r**5 + 0*r**5 - 2*r**5 - 2*r**2 + 2*r**5 + 2*r**2 + (-r**3 - 3*r**3 + 3*r**3)*(2 + r**2 - 2). -3*r**5 Expand k**3 - k**3 - 4*k**5 - k**5 + 3*k**3 - 3*k**3 - 4*k**5 + 5*k**5 - 3*k**5 + (-3*k + 4*k - 3*k)*(0*k**3 - 2*k**4 + 0*k**3). -3*k**5 Expand (8*z**2 - 18*z**2 + 18*z**2 + (6*z - 2*z + 0*z)*(-2 + 2 + 2*z))*(0*z + 3 - 1 + 2*z - z**3). -16*z**5 + 32*z**3 + 32*z**2 Expand (-q - 2*q + 4*q)*(q**2 + 2*q - 3 + q + 0*q). q**3 + 3*q**2 - 3*q Expand (-2*z + 3*z + 0*z)*(2 - 2 + 2) - 3 - 4*z + 2*z + z. z - 3 Expand 6*h**5 - 4*h**5 + 0*h**5 + 0*h**4 + 0*h**4 - 2*h**5 - 10*h**4 + 10*h**4 + 4*h**5 + (-h**5 + 0 + 0)*(-1 - 1 + 3). 3*h**5 Expand v - v - 2*v**3 + 2 - 2 - 2*v**3 + (-2*v + 1 - 1)*(-3 + 3 + v**2) + 0*v**3 + 0*v**3 + v**3 + (-2*v + 3 - 3)*(8*v**2 + 6*v**2 - 13*v**2)*(-3 + 2 + 2). -7*v**3 Expand -o**5 + 0*o**5 - 2*o**5 + (0*o + 0*o + 2*o**5)*(4 - 3 - 4) - 2*o**5 + 3*o**5 + 2*o**5. -6*o**5 Expand 3*z**3 - z**4 + 2*z**3 - 3*z**3 + (1 + 2*z**2 - 1)*(5*z**2 - z**2 - 2*z**2) + z**4 - 3*z**4 + 4*z**4 + 3*z**4 - 37*z**3 + 37*z**3. 8*z**4 + 2*z**3 Expand (1 + 3 + 4)*(3*u + 4*u - 4*u)*(3 - 4 - 1). -48*u Expand -4*p**4 - 1 + 2*p**4 + 3 - 2*p**5 - 4*p**5 + 2*p**5 + p**5 + 44*p**3 - 44*p**3 - 21*p**5 + (4*p**5 - 6*p**5 + 3*p**5)*(3 - 2 + 1). -22*p**5 - 2*p**4 + 2 Expand (-3*g**2 - g**3 + 3*g**2)*(20 - 8 - 14). 2*g**3 Expand (0*p**2 + 0*p**2 - p**2)*(-17*p + 17*p - 6*p**2)*(5 - 4 - 3). -12*p**4 Expand (-4 + 4 - 3)*(24 + 6*z - 17 - 3*z). -9*z - 21 Expand (-i - 2*i + 5*i)*(3 - 1 - 1)*(-3 - 1 + 2)*(3 + 5*i - 3). -20*i**2 Expand (-1 + 5 + 2)*(-4*q - 3*q + 6*q). -6*q Expand (0 + 5 - 3)*(4 - 4 + 3)*(-1 + 1 - 2*y) - 2*y - 5*y + y. -18*y Expand -8*u**3 - 7 + 7 - u**3 - 4*u**3 + 6*u**3 + 2 + u**3 - 2 + (-u + 4*u - 4*u)*(2*u**2 - 2*u**2 - u**2). -5*u**3 Expand (-3*a + a + a)*(7 - 7 + 6*a). -6*a**2 Expand (-31*t**3 + 127 - 127)*(2 - 2 - 2*t**2). 62*t**5 Expand 6*m**4 - 2*m**4 + 2*m**4 + (2*m**3 + 2*m**3 - 3*m**3)*(m + 2*m - 4*m). 5*m**4 Expand ((i + 0*i + 0*i)*(-1 + 1 + 2*i) + 3*i**2 - i**2 - i**2)*(-3*i**3 + 0*i**3 + 2*i**3). -3*i**5 Expand (0 - 1 + 3)*(0*l + 0*l + 2*l) - 1 + 1 + 2*l + (-2 + 3 + 1)*(l - 2*l + 3*l). 10*l Expand (-3*g + 0*g + 0*g)*(-4*g - 2*g + 3*g) + 1 - 2*g**2 - 1. 7*g**2 Expand (6 - 6 + 3*o)*(4 - 3*o - 4). -9*o**2 Expand ((-2*p + 2*p + p)*(3*p - 2*p - 3*p) + 2*p**2 + 3*p**2 - 6*p**2)*(-71*p**2 + 5*p + 144*p**2 - 74*p**2). 3*p**4 - 15*p**3 Expand (0*a**3 - 3*a**3 - 2*a**3)*(7 - 3 - 1). -15*a**3 Expand (-8*m**3 - 21 + 21)*(-2 + 2*m + 5 - 2). -16*m**4 - 8*m**3 Expand 4*z**5 + 55*z - 55*z + 0*z - 2*z**5 + 0*z - 4*z**5 + 0*z**5 + 2*z**5 + 0*z**2 + 0*z**2 - z**5 + (2*z - 3*z + 0*z)*(0 + 0 + 2*z**4) - 2*z**5 - 3*z + 3*z. -5*z**5 Expand -2*j**4 - j**3 + j**3 + (-2*j**2 + 1 - 1)*(-2*j**2 + 6*j**2 - 2*j**2) - j**4 - 3*j**4 + j**4 - 3*j**4 + 6*j**4 - j**4. -7*j**4 Expand (-6 - 7 + 6)*(-z - z + 3*z) + 2*z - z - 3*z. -9*z Expand (-2*u + 2*u + 2*u)*(-2*u + 0*u + 0*u) - 2*u**2 - u**2 + 2*u**2 + 2*u**2 - 2*u**2 + 2*u**2 + 1 + 2*u**2 - 1 - 2*u. -u**2 - 2*u Expand -3*w**5 + 2*w**5 - w**5 + (16 - 5*w**4 - 16)*(w + 2 - 2). -7*w**5 Expand (-3*w + w + 5*w - 5*w + w + 2*w + 3 - 3 - w + (2 - 4 + 1)*(-5*w + 5*w + w))*(-2 + 2 - w**4). w**5 Expand (0*t**3 + t**3 - 3*t**3)*(3*t - 7*t + 3*t) + (0*t**3 - t**3 + 0*t**3)*(0*t - 3*t + t). 4*t**4 Expand 4*u**3 - 5*u**3 - 2*u**3 - 1 - u**3 + 1 - 2*u + 2*u + u**3 + (1 - 6 + 3)*(u**3 + u**3 - 3*u**3) + 5*u**3 + 0*u**3 - 2*u**3. 2*u**3 Expand p**2 - 1 + 1 + (-2*p + 2*p + p - 2)*(0*p - p + 3*p). 3*p**2 - 4*p Expand (32*o + 36*o - 72*o + 4)*(0*o + 2*o - 4*o)*(-4*o**2 - 2*o**3 + 4*o**2). -16*o**5 + 16*o**4 Expand (0*f**3 + f**3 + f**3)*(3 - 2 - 2) + 3*f**3 + 4*f**2 - 4*f**2 + (0 + 0 + f**2)*(4*f - 5*f + 2*f). 2*f**3 Expand (s - s - s)*(262 + 14*s**3 - 262). -14*s**4 Expand ((2 - 2 + 1)*(-2 + 0 - 1) + 6 + 4 - 35)*(1 + t - 1). -28*t Expand (-2*l + 3*l - 3*l)*(2 - 1 - 5)*(0 + 4 - 2). 16*l Expand (-6*c**2 + 2 + 0*c**2 + c**2)*(1 - 1 + 2*c). -10*c**3 + 4*c Expand (-5*f - 3 + 3)*(0 - 4 + 2) - 2*f + 3*f + f - 1 + 1 + f + (0 + 2*f + 0)*(5 - 3 - 3). 11*f Expand (-f - 3 + 0 + 1)*(7*f - 9*f - 11*f). 13*f**2 + 26*f Expand (i**2 + 3*i**2 - 3*i**2)*(6*i + 7*i + 2*i + 2*i - 4*i + 0*i + 2*i - 6*i + 3*i + (0*i - 4*i + 3*i)*(2 - 3 + 2) - 2*i + 0 + 0 - 2*i + 0*i + 3*i). 10*i**3 Expand (3 - 2 + 0 - j)*(-4 - 3 - 2). 9*j - 9 Expand -2*r**3 + 3*r - 3*r + (-38*r + 38*r + 2*r**2)*(-2*r + 2*r + 2*r). 2*r**3 Expand -5*i**3 + 4*i**3 + 0*i**3 + (-2 + 2 + 2*i**2)*(2 - 2 - 2*i) + (i + 2*i - 2*i)*(4 + 3*i**2 - 4). -2*i**3 Expand -y**5 + 0*y**2 + 0*y**2 + 5*y**5 + 8*y**5 - 3*y**5 + (-2 + 2 - 2*y)*(-y**4 + 2*y**4 + 0*y**4). 7*y**5 Expand (4*q + 2*q - 4*q)*(3 - 3 - 2*q**2)*(2 - 3 - 2)*(-1 + 2 - 2). -12*q**3 Expand 4 - 4 + 2*z**3 + 4*z**3 - 3*z**3 - 5*z**3 + (2*z - 2*z + z**2)*(-1 + 1 + z). -z**3 Expand 0*j**3 - 3*j**3 + j**3 + (-2 - 2 + 0)*(3*j**3 - j**3 - j**3) - 2*j**3 - j**3 + 2*j**3. -7*j**3 Expand -w**5 + 0*w**5 - w**5 + (2*w**2 - 24*w**2 - 9*w**2)*(-2*w**3 - 1 + 1) + (2*w**5 - w**5 + w**5)*(3 - 4 - 1). 56*w**5 Expand (0*o + o - 3*o)*(23*o - 9*o**3 - 23*o) + (0 - o**2 + 0)*(2*o**2 - 3*o**2 + 0*o**2). 19*o**4 Expand 0*s**4 - 4*s**2 + s**4 + s**2 + (-s - 3 + 3)*(-s**3 - 3*s**3 + 2*s**3) - s**4 + 0*s**4 + 3*s**4. 5*s**4 - 3*s**2 Expand (-q + 2*q - 2*q)*(1 - 1 + 3*q + (q - 4 + 4)*(2 - 1 + 2)). -6*q**2 Expand (2*c**4 + 2*c**2 - 5*c**4 - 4*c**2)*(-3*c + c + 3*c). -3*c**5 - 2*c**3 Expand ((-7 + 2 + 3)*(5*b - b - 5*b) - 4*b + 4*b - 3*b)*(-4*b + b + 5*b). -2*b**2 Expand -h**2 + 2 - 2 + (-h - 2*h + 2*h)*(h + 0 + 0) + 0 - h**2 - 2*h**2 - 2 - 2*h**2 + 0*h**2 + 5*h**2. -2*h**2 - 2 Expand (-5 + 5 - 2*x + x + 2*x - x + (1 - 3 + 1)*(0*x - x - x))*(4 + 4 + 1)*(-1 - 2 + 1). -36*x Expand (3*q**2 - 2 + 2 + (-2*q**2 - 3*q**2 + 6*q**2)*(-1 + 3 - 3) + 2*q**2 + 0 + 0 + 2*q - q**2 - 2*q)*(3*q - 2*q - q**2 + 6*q**2). 15*q**4 + 3*q**3 Expand (3*r - 6*r - 5*r + r + 0*r - 2*r + (-1 - 2 + 1)*(0*r + 0*r - r) + r - 4*r + 4*r + 3*r - 3*r + r)*(0 - 2 + 0). 10*r Expand (-2 + 2 - 2*l)*(-3*l + l - l) + l**2 - 2*l**2 + 3*l**2 - 8 - l**2 + 8. 7*l**2 Expand (-3*x**2 + x**2 + x**2)*(-1 + 2 + 2)*(-1 + 1 + 3*x). -9*x**3 Expand (-16*u + 16*u + 13*u**2)*(3*u + u - 2*u + 0 + u + 0 + (2*u + 1 - 1)*(-5 + 6 + 0)). 65*u**3 Expand (0*z**2 - 3*z**2 + 5*z**2)*(z + 3*z - 6*z) + z**3 + 0*z**3 - 3*z**3. -6*z**3 Expand (1 - 1 - 1)*(-7 + 3 - 1)*(d + d + 0*d)*(-5 + 0 + 3). -20*d Expand (-4 - 4 + 3)*(-3 - 2 + 1)*(-3 + 2 + 0)*(0*v**4 + 5*v**4 - 4*v**4). -20*v**4 Expand (5*c - 3*c + 0*c)*(-4*c**4 + 3*c**4 + 0*c**4) + 17*c**3 - 17*c**3 + c**5. -c**5 Expand ((0 - 5 + 4)*(3 + 4 - 6) - 2 - 2 + 2 + (-6 + 4 + 1)*(39 - 13 + 4))*(2*z**3 + 2*z**2 - 2*z**2). -66*z**3 Expand (1 - 2 - 2 + (-5 + 1 + 1)*(4 - 4 - 2))*(-j - 2*j + 0*j). -9*j Expand (10 - 10 + 6*k)*(2*k - 3 + 3). 12*k**2 Expand y**5 + 0*y**5 + y**5 + (3 - y**3 - 3)*(4*y**2 + 9*y**2 - 6*y**2). -5*y**5 Expand
{ "pile_set_name": "DM Mathematics" }
Let w = 49.5834 - -0.0166. Let i = w + -49.7. What is the nearest to i in 0, -26, -2/13? -2/13 Suppose -f = 4*y - 41, 5*f - y = -3*y + 277. Let q = -50 + f. Let n be (18/(-84))/(6/8). What is the closest to q in n, -2/11, 5? 5 Let j = 31.524 + -27.524. Let h = -1.5 - -2. What is the nearest to 0 in j, h, -11? h Let g = 9976 - 10028.93. Let o = g + -0.07. Let s = o + 50. What is the closest to -1 in s, -2, 12? -2 Let g = -0.181 + -2.029. Let l = 2.11 + g. Let z(t) = -t**2 - 7*t + 2. Let v be z(-7). Which is the nearest to v? (a) 5 (b) -4 (c) l c Let i = -27.2 - -27.462. Let o = -0.272 + i. Let n = -3.93 - 0.07. What is the closest to 2/5 in o, n, -0.2? o Let z = 611.6 - 611.4. Let k = -9 + 6. Suppose 4*d = u + 21, -d = 3*u - 3 + 1. What is the closest to k in 2, u, z? u Let u = -35.8 + -338.2. Let h = 369 + u. Which is the closest to -2/5? (a) 2/5 (b) h (c) 0 c Suppose -47*r = 33*r + 54*r + 536. What is the closest to -0.1 in -8/3, r, -21, 1/2? 1/2 Let q = -115.99 + 113.99. Which is the nearest to 6? (a) q (b) 18/17 (c) 1 b Let v = -5311 + 5316. What is the nearest to -1 in v, -0.3, -20? -0.3 Let b be (3/2)/(51/442). Let t = 10 - b. Let y = 29 + -31. What is the nearest to -2/5 in y, t, -1? -1 Let p = -833/2020 - -5/404. What is the nearest to -3/4 in -1/2, p, 11, 2? -1/2 Let k be (6 + ((-561)/(-6))/(-17))*-4. What is the nearest to k in -1/4, -8/11, 1, 5? -8/11 Let y = 10567 - 10555. Which is the nearest to -2/5? (a) -4 (b) y (c) 3 c Suppose -6*l - 25 = -55. Let h = 979 - 978.6. What is the closest to -1/3 in h, l, 1/2, 2/17? 2/17 Let f be (-16)/(-6)*(11 + -5). Let z be (-9)/45*(-20)/f. Let v be 6/(-4)*(-4)/(-24). What is the nearest to -1/41 in v, z, 3? v Let g = 79.98 - 80.01. Which is the nearest to 0.4? (a) -1 (b) g (c) -0.3 (d) -3 b Let h be 2 - -7*2/2. Let x = -41.535 - -39.535. What is the nearest to x in 3/5, -1/4, h? -1/4 Let x be (-21)/27*(4*99/(-84) - -5). What is the nearest to 0.11 in x, -1/2, -2/11? -2/11 Let t = 953 - 957.23. Let q = 4.17 + t. What is the closest to 3 in q, 5, -2/7? 5 Let n = 0.05 + 2.95. Let q = -13 - -10. Let i be 15/20*2/q. What is the nearest to -1/4 in i, n, -3/8? -3/8 Let o = -799/1599 + -89/533. Suppose 2 - 6 = 4*y. What is the nearest to 0 in o, y, 0.5? 0.5 Let q = 336.4 + -336. Let v = 388 - 387.7. Which is the closest to 1/6? (a) 5 (b) q (c) -4 (d) v d Let j be 22/(-55)*(-3 - 96/(-27)). Which is the nearest to j? (a) -0.4 (b) 12 (c) 5 (d) 0 a Let w be (-5)/(-6) + (-2332)/3432. Let x = 1.023 + -0.023. Which is the nearest to x? (a) -2/19 (b) 0.34 (c) w b Let o = 2.112 - 2.512. Let q = -34 + 169/5. What is the closest to 0.03 in q, o, 0.2? 0.2 Let y = 0.918 - 0.188. Let f = 4.73 - y. Which is the nearest to 1? (a) 5 (b) f (c) 4.7 b Let d = 7.2 - -0.8. Let w = d - -2. Let i = w - 13. What is the nearest to i in 4, -5, -1/2? -5 Let n be -8 - -8 - (112/63 - (-14)/63). Which is the closest to 0.1? (a) -60 (b) n (c) -2/3 (d) 1/10 d Let u be (-2)/(-7) + 8/21. Let c = -133195 + 133165. What is the nearest to 0.1 in c, 1, u? u Suppose 3*q + 10*q = 0. Let f be 8 + -6 + q - 6. What is the nearest to 2/7 in -1/12, 1/6, f? 1/6 Let x = -2.746 - -2.946. Which is the closest to 0? (a) 177 (b) x (c) -3 b Let w = -223.93 + 1.73. Let d = 222 + w. Which is the closest to 1? (a) d (b) -1 (c) -29 a Let w(c) be the first derivative of -c**3/3 + 2*c**2 + 4*c + 23. Let l be w(4). Suppose 4*v = -l, 3*b = -7*v + 4*v - 3. What is the closest to b in 2/17, 0, 3? 0 Let t = 0.14968 + 0.15032. Let h(s) = s**2 + 6*s. Let b be h(-6). Suppose 5*a + 5*n + 43 - 13 = b, n = a - 4. What is the nearest to a in t, -2/7, 3? -2/7 Let s = -106.37 + 106.4. Let z be ((-2)/6)/((-115)/30). What is the nearest to z in s, 0, -2/13? s Let b = 671 - 850.1. Let d = b + 179. Let n = 2.4 - 1.4. What is the nearest to 1/4 in d, n, -8? d Let m be ((-120)/(-360))/(2/4). Let u = 0.5 + -0.4. Let r = 0.1 + u. Which is the nearest to 1? (a) -0.3 (b) r (c) m c Let u = 2448.9 + -2449. Which is the nearest to 23? (a) 1/3 (b) -0.4 (c) -2/19 (d) u a Let y = -1002.1 + 1002. What is the nearest to y in 4, 2/23, -0.2? -0.2 Let d = -3895/44 + 971/11. Which is the closest to d? (a) -0.3 (b) -2 (c) -37 a Let n = -4.8 - 71.3. Let w = -0.127 + -75.873. Let z = w - n. What is the nearest to -2/9 in z, -5, 2/21? 2/21 Let v = -5432 - -5429. What is the closest to -1/4 in -0.13, v, -1/5, 5? -1/5 Suppose -4*r - j = -11, 0 = 5*r + 4*j + 1 - 23. Let o be 2*(-3)/(-6) + r. Let p = -270.6 + 271. Which is the nearest to 3? (a) o (b) p (c) 2 a Let g = 27014 - 27019. Which is the nearest to 34? (a) 2/27 (b) 2/13 (c) g b Let g = 4688 - 4689. What is the nearest to -10 in 1, 1/2, g, 1/9? g Let r = -1038.81 - -1039.11. Let q = -0.2 + 0.6. Which is the nearest to 0? (a) r (b) q (c) -1 a Suppose -13 = -20*d - 18 - 35. Which is the closest to -1? (a) 2 (b) d (c) -1/10 c Let s = -1.3658 + 1.454. Let f = -0.4882 + s. Let j = 0.08 + 2.92. Which is the closest to j? (a) -2 (b) 0.3 (c) f b Let y = 1 - 2. Let v = 123.7 - -41.3. Let n = v - 164.9. Which is the closest to y? (a) 4 (b) n (c) -4 b Let r be (4/(-6))/(48/(-9)). Let z = -6.18 + 7.18. Which is the nearest to z? (a) -5 (b) r (c) -8 b Let y = 2867 + -2867.1. Which is the closest to y? (a) 4 (b) 3/5 (c) 12 b Let p be 1 + ((-7)/9 - 0). Let s = 1.671 - 2.15. Let i = 0.521 - s. Which is the nearest to i? (a) -0.3 (b) -0.1 (c) p c Let c = 3.97834 + 0.02166. What is the nearest to c in 8, -4, 0.02? 0.02 Let p(m) = -33*m + 491. Let v be p(15). Which is the nearest to 2/3? (a) -1 (b) 3088 (c) -4/3 (d) v a Let x = 1966.6925 - 2.6925. Which is the closest to 0? (a) 2 (b) 4 (c) x (d) 1 d Suppose 5*y + 3*q + 186 = 0, y + q + 28 + 10 = 0. Let k be (-12)/y - (0 + 16/(-60)). Let g = 2 + -6. What is the nearest to 2/7 in g, 0.4, k? 0.4 Let k = 3.1 + -0.1. Let y = 1148 - 1148. Which is the closest to y? (a) 2/5 (b) 1 (c) 1/15 (d) k c Let f = 752 + -755. Which is the nearest to 1/4? (a) f (b) -2/15 (c) 1/7 (d) 170 c Let q = 717.69 + 17.31. Let h = q - 728. Which is the closest to 0.1? (a) 0.3 (b) -4 (c) h a Let x = -47 - -47. Let u = 496/1687 - 2/241. Let v = -6.85 + 5.85. Which is the closest to u? (a) v (b) x (c) 1 b Let g = -27609/69035 + -1/13807. Which is the nearest to -13? (a) g (b) -4 (c) 74 b Let i = -617.98 + 612. Let n = 4.98 + i. Which is the closest to -0.18? (a) 0 (b) -4 (c) n a Let r = 12 - 12.5. Let k = 122.72 + -127.72. What is the closest to -1/2 in -9, k, r? r Let x be 1*(-7)/((-147)/6). Let c(q) = q**2 - 30*q + 185. Let n be c(9). What is the nearest to n in x, -3/8, 5? -3/8 Let y = -103.55 - -99. Let a = 5.55 + y. What is the closest to 0.08 in 3, 4, a, -3/8? -3/8 Let c = 0.2 + 2.8. Let z = 31.62 + -32. Let d = 0.28 + z. What is the nearest to -10 in c, 5, d? d Let u be 54/(-837) + 415/(-775). Let w = 79 - 78.9. Which is the nearest to w? (a) -2/7 (b) 0.03 (c) -4 (d) u b Let n = 109.24 - 109. Let j = n + -1.24. Let o = 49/99 + -3/11. Which is the closest to 0.2? (a) o (b) -1/8 (c) j a Let o(w) = w**2 - 139*w + 4790. Let y be o(63). What is the closest to 1 in -15, -0.5, y? y Let i = -2 + -3. Let k = 484 - 484. What is the nearest to -0.2 in 3, k, i? k Let h = -1394/3 + 465. Let r be 28/(-12) - ((-6)/(-9) - 0). Which is the nearest to 0? (a) r (b) 0 (c) h b Suppose -21*l - 5544 = l. Let v be 2/(-4)*(-168)/l. Let j = 0.5 + -0.1. Which is the closest to v? (a) -0.6 (b) -1/6 (c) j b Let x = 755.7 - 758.7. Which is the closest to -2/23? (a) -0.5 (b) x (c) -0.08 c Let z = 295 + -150. Let s = -722/5 + z. Let p = -651/8 + 81. What is the nearest to -0.1 in p, 2/5, s? p Let i = 174 + -191.9. Let j = i + -0.1. Let o = j + 17.89. What is the nearest to -1 in -2/11, -4, o? -2/11 Suppose 29*j + 105 = -5*t + 6*j, -t = -2*j - 12. What is the nearest to 0.3 in -0.2, t, 47, -0.4? -0.2 Let p = 30 + -14. Suppose 9*b - p*b = 0. Let h = 0.2 + -0.24. What is the closest to -0.1 in h, 0.3, b? h Let f = 1280170083847/9482 + -135010555. Let p = f + -2/431. Which is the closest to 2/7? (a) 5 (b) 2/5 (c) p b Let t = -494 + 494. Which is the nearest to -2? (a) -4/7 (b) t (c) -9 a Let o = 0.606 - -0.394. Which is the nearest to o? (a) 1/5
{ "pile_set_name": "DM Mathematics" }
smallest value in 2, -6, -18, 6, 0? 6 Which is the second smallest value? (a) -1 (b) -80 (c) 0 (d) -0.3 (e) -1/5 a Which is the second smallest value? (a) -0.039 (b) 24 (c) 5 c What is the second biggest value in -10, -0.5, 2/7, -0.93? -0.5 What is the third biggest value in 2, 3, -214? -214 Which is the smallest value? (a) -4/13 (b) -4 (c) -2 b Which is the third smallest value? (a) 0.1 (b) 3 (c) -49 (d) -0.1 a What is the second smallest value in 0.4, 4/51, 4/5, 18, 0.1? 0.1 Which is the third smallest value? (a) -2 (b) -4 (c) -2/41 c Which is the biggest value? (a) -0.11 (b) -1 (c) -0.021 (d) 5 d What is the third biggest value in -4, -3, -7, -2? -4 What is the second smallest value in -0.03, -46/3, -0.3, -3/2, 0.2? -3/2 What is the smallest value in 2/11, -101, -11, 4? -101 What is the fourth smallest value in -0.2, -5/3, 9, 0.1? 9 Which is the third biggest value? (a) -3/8 (b) 2/37 (c) 4/11 (d) 5/2 b What is the third biggest value in -2/23, 0.3, -0.2? -0.2 Which is the second biggest value? (a) 8 (b) 0.2 (c) -6/7 b Which is the third biggest value? (a) 0.3 (b) 707 (c) -0.2 (d) -0.1 (e) 0.9 a Which is the third smallest value? (a) 0 (b) -5 (c) -16/9 a What is the second smallest value in 0.3, -2/11, 0.4, -2? -2/11 Which is the smallest value? (a) 4 (b) 0.04 (c) -0.3 (d) -1/3 d What is the fourth smallest value in 1/6, -0.01, 3/4, 15? 15 Which is the third smallest value? (a) -4 (b) -4.5 (c) 3 c What is the smallest value in 21/2, 7, -2? -2 Which is the second smallest value? (a) -493 (b) 5 (c) 3/7 c What is the third biggest value in 0.1, 1/14, -56? -56 What is the biggest value in -1/8, 0.02, 2? 2 What is the second biggest value in -2/5, 0, 4418? 0 Which is the third biggest value? (a) 0.1 (b) 0.3 (c) 3 (d) -3/2 a Which is the third biggest value? (a) 6 (b) 2/95 (c) -1/6 c What is the third smallest value in -0.15, -0.3, -0.1, 0.3? -0.1 Which is the fifth smallest value? (a) -2 (b) -4 (c) 5 (d) -1/7 (e) 1/28 c Which is the biggest value? (a) -0.3 (b) -2 (c) 6 (d) 0.4 c What is the smallest value in 4, -0.3, 9, -20? -20 Which is the third smallest value? (a) -0.5 (b) -11 (c) 3 (d) -2 a What is the third smallest value in -16/5, 6, -6/7? 6 Which is the third biggest value? (a) -2 (b) -46 (c) -0.5 (d) -3/4 a Which is the fifth smallest value? (a) -0.1 (b) 2/3 (c) -1/4 (d) 2 (e) -152 d Which is the smallest value? (a) 3 (b) -39 (c) 5 b Which is the second biggest value? (a) 0.11 (b) -0.1 (c) -0.8 b Which is the third biggest value? (a) 44 (b) -2/13 (c) 0 (d) 1 c What is the smallest value in 0.1, -0.09, -0.5, 3/28? -0.5 Which is the third smallest value? (a) -2/13 (b) 0.1 (c) -0.05 (d) -2 (e) -3/20 e Which is the second smallest value? (a) -1/5 (b) 3 (c) -2/607 c What is the second biggest value in 8, 0.4, 476? 8 What is the second smallest value in -930, 4, 3? 3 Which is the fourth smallest value? (a) 3 (b) -0.5 (c) 0 (d) -1/7 a Which is the second smallest value? (a) 3 (b) -3 (c) 1/24 (d) -0.07 d Which is the fourth smallest value? (a) 0.2 (b) -160 (c) -0.1 (d) 2 d Which is the biggest value? (a) 2/15 (b) 4 (c) 0.021 (d) -5 b Which is the fourth smallest value? (a) -0.3 (b) -2 (c) -3/79 (d) -4 c Which is the smallest value? (a) -1/2 (b) 4 (c) -6 c What is the fourth biggest value in 0.1, 2, -3, -59? -59 Which is the second smallest value? (a) 2 (b) -0.02 (c) 9/2 (d) 0.1 d Which is the third smallest value? (a) -0.13 (b) -24 (c) 1/12 c Which is the second smallest value? (a) -3 (b) -5 (c) -25 b What is the second smallest value in 4/3, -1, -8? -1 Which is the smallest value? (a) 4 (b) -0.3 (c) 5 (d) 0 (e) -11 e What is the fifth biggest value in 3.71, 5, 0.2, -2/17, -1? -1 Which is the second smallest value? (a) 0 (b) -2/11 (c) -2/3 (d) -5 c Which is the second biggest value? (a) -3/8 (b) -10 (c) 0.02 a What is the second smallest value in 78, -1, -2/7, -23? -1 Which is the smallest value? (a) 2 (b) -2 (c) 0.5 (d) -0.15 b What is the third biggest value in 3, -4/5, -1.61? -1.61 Which is the smallest value? (a) 0.5 (b) -5 (c) -53 c What is the fourth smallest value in 0.08, 7, 1, -2? 7 Which is the third smallest value? (a) 8751 (b) 4 (c) 1/5 a What is the second smallest value in -0.1, -3/5, 1138/15? -0.1 Which is the smallest value? (a) -4 (b) 2/17 (c) 0.4 (d) -177 d Which is the second biggest value? (a) -0.5 (b) -8 (c) 0.01 (d) 1 (e) -2 c Which is the smallest value? (a) -4 (b) 0.13 (c) -31 c Which is the third smallest value? (a) -78 (b) 0 (c) -6 b What is the third smallest value in -4, 0.4, 41, -91? 0.4 What is the third smallest value in -5, 1, 0.3, -0.1, -26? -0.1 What is the third smallest value in 1, -4, -0.04, -11? -0.04 Which is the third smallest value? (a) -1 (b) -3 (c) -58 a What is the third smallest value in -40, 1/4, -2/3, 0.1? 0.1 What is the second biggest value in -26, 1, 1/3? 1/3 Which is the smallest value? (a) -5 (b) 4 (c) -16 (d) 2 (e) 0.13 c What is the biggest value in -8, -0.2, -2? -0.2 Which is the fourth biggest value? (a) 1 (b) 9/7 (c) -2/13 (d) 1/4 c Which is the second smallest value? (a) 0.4 (b) 2 (c) -2/7 (d) -0.2 (e) -2 c Which is the fourth smallest value? (a) -1 (b) -6 (c) -0.6 (d) 0.01 d Which is the third smallest value? (a) 1/108 (b) 6/5 (c) 1/4 (d) 4 b Which is the second smallest value? (a) 4 (b) 13349 (c) -5 a Which is the third biggest value? (a) 0.2 (b) 9 (c) -3/8 (d) -2/17 (e) 8 a Which is the second biggest value? (a) -5 (b) 0.39 (c) -4 c What is the second biggest value in -47, 2/7, 20, -4? 2/7 What is the third smallest value in 3/5, 100, -0.5, 1/9? 3/5 What is the biggest value in -0.5, -2/7, 140/39? 140/39 Which is the second biggest value? (a) 1/4 (b) -0.02 (c) 1/6 c Which is the second biggest value? (a) 0 (b) -15 (c) 32 a Which is the second smallest value? (a) 1 (b) 4 (c) -54 a Which is the biggest value? (a) 0.5 (b) -3/37 (c) 0.1 a Which is the third smallest value? (a) -7 (b) 0.2 (c) 0.25 (d) -0.1 b What is the second biggest value in 0.05, -37, 5, -0.4, 0? 0.05 Which is the second biggest value? (a) 5/2 (b) 0.3 (c) -27 (d) -9/4 (e) 5 a What is the second biggest value in -0.5, -166, -0.1? -0.5 What is the third biggest value in -3, -0.1, 3, -2? -2 Which is the third smallest value? (a) 3/7 (b) 2/13 (c) 0.11 a What is the smallest value in -4, 1/4, 0? -4 Which is the third biggest value? (a) 5 (b) 4 (c) 822 b Which is the biggest value? (a) -6/11 (b) 142 (c) 1/3 b Which is the biggest value? (a) 3 (b) 2/41 (c) 0 a What is the biggest value in 1, -0.2, -0.043? 1 What is the second smallest value in 1, -5, -5/2, 72? -5/2 Which is the second smallest value? (a) -0.4 (b) 2/11 (c) -5 (d) -4/11 (e) 1/4 a Which is the second smallest value? (a) -0.49 (b) -0.2 (c) -3/7 (d) 3 c What is the smallest value in 2/3, 0.23, 0.3, 2/7? 0.23 Which is the third biggest value? (a) 4/7 (b) -3 (c) 4 (d) 2/9 (e) 1/3 e What is the fourth smallest value in 1/3, -74, -1/5, 3? 3 What is the smallest value in -0.07, 1/5, 0.206, -5? -5 What is the second smallest value in -2/3, -22, 0.08? -2/3 What is the smallest value in 0.5, 0.1, -12, -6/5? -12 Which is the second smallest value? (a) 80 (b) -2 (c) 1/5 (d) 8 c What is the smallest value in 0.0015, -17, -0.4? -17 Which is the fourth smallest value? (a) -70 (b) 6 (c) -0.5 (d) 5 b What is the second biggest value in 1/140, -4, -5, 0.4? 1/140 What is the fourth smallest value in -3/4, -5, 1.21, 3? 3 Which is the second biggest value? (a) -3/4 (b) 37/8 (c) -2 a What is the smallest value in 3/2, 1/7, 0.02, 1, 0.3? 0.02 Which is the second biggest value? (a) -1/980 (b) 3 (c) -1 (d) 4 (e) 2 b Which is the fourth biggest value? (a) 1/4 (b) 5 (c) -46 (d) -1 c What is the third biggest value in -0.04, -1/2, -0.036, -4/7? -1/2 What is the third biggest value in 2/9, -8.89, -0.1? -8.89 What is the fourth smallest value in -4, 1/2, -2/11, 0.659? 0.659 What is the second smallest value in -0.5, 0.3, 2/9, 0? 0 What is the fourth smallest value in -3/7, -4/9, -3, 1? 1 Which is the fourth smallest value? (a
{ "pile_set_name": "DM Mathematics" }
. -1 What is 16/184 - 2 - 4/46? -2 What is the value of ((-55)/10 + 6)*(-6)/1? -3 What is the value of (-1674)/216 + (-2)/8? -8 Evaluate (-6)/9*(-13)/(260/(-15)). -1/2 What is (-12)/(-10)*(9/6 + 1)? 3 Evaluate 116/319 + (-153)/(-33). 5 Evaluate (((-42)/7)/(-6))/((-1)/5). -5 Calculate 2/((-13)/(390/20)). -3 What is the value of (9/(-135))/(46/(-115))? 1/6 5*9/(-135)*(-9)/5 3/5 Evaluate 1 - (35/15 - 2). 2/3 What is (-21)/4 - ((-1480)/(-32))/(-37)? -4 (48/(-15) - -3) + 16/5 3 (100/(-150))/(4/54) -9 What is the value of -4 - 114/81*-3? 2/9 What is the value of (-84)/(-182)*2/12? 1/13 What is ((-1)/(-4))/((-42)/84)? -1/2 Calculate 12/(-32) + (-486)/(-144). 3 (-120)/(-560)*(-14)/(-6) 1/2 (18/(-27))/((-4)/(-6))*0 0 (2/4 + 1)/(18 + -24) -1/4 What is the value of (-12)/10*(-20)/6? 4 Evaluate (4/(-10))/(-2 - (-253)/115). -2 What is the value of 2*(0 - -1)/(29 + -22)? 2/7 Calculate 9/(-6) + (-164)/(-120). -2/15 Evaluate 1 - -1 - (-55)/(-20). -3/4 Evaluate 3/4*(7 + (-40)/6). 1/4 What is (-2)/(-9) + 74/(-90) + 1? 2/5 What is the value of (-292)/(-1314) - (-11)/72? 3/8 What is the value of -10 - (70/(-15) - (-7)/(-21))? -5 What is the value of (418/968 + (-4)/22)*1? 1/4 297/(-66) + (-2)/4 -5 9/(-36)*(-1 - 124/(-12)) -7/3 7/(-18)*3*4/(-35) 2/15 What is 3/21 + (-4)/28*-27? 4 What is 5 - (-185)/(-175)*5? -2/7 What is (744/(-18))/(-31)*5/4? 5/3 What is the value of (9 + -4 + -6)*(-6)/14? 3/7 Calculate 2*(-12)/10 - -3. 3/5 Calculate (7/(-21))/(2/4). -2/3 Calculate ((-5)/(-30)*-1)/(2/(-60)). 5 What is (((-12)/21)/2)/1? -2/7 (-50)/84 - 20/(-40) -2/21 Calculate ((-171)/(-3249))/(((-1)/2)/1). -2/19 What is 4*1/4*5? 5 2/(1 + 0) + 178 + -186 -6 What is 52/(-18) + 3 - (-7)/(-36)? -1/12 What is the value of 0 + (-2 - -3) + -6? -5 ((-4)/((-16)/6))/(49/(-98)) -3 What is 6/(-11)*-11*1? 6 What is the value of (-2)/4*(5 - 85/15)? 1/3 Calculate 12 + (-5 + 4)*5. 7 What is (-11)/(-5) - (-1)/(-5)? 2 What is ((-75)/(-2025))/(3/18)? 2/9 Calculate 39/(-12) - 9/12. -4 Calculate 5 - ((-8)/(-220))/(1/140). -1/11 ((-3 - -3)/3)/(2 - 1) 0 What is the value of (3*(-5)/210)/(1/(-4))? 2/7 (-3)/10*(-16)/24 1/5 Evaluate 119/85 - 3/3. 2/5 Calculate (-122)/488 + -1 + 25/4. 5 Calculate 2/(-18)*(-3)/(-4 + 3). -1/3 Calculate (2/(-5))/(5 + 48/(-10)). -2 What is -1*(-2 - -2 - -5)? -5 What is (-6)/48*-10*(-8)/60? -1/6 Evaluate ((-8)/(-45))/(114/285). 4/9 -5 - -1 - 9*7/(-14) 1/2 Evaluate -10 + (-4 - -1)*-3. -1 What is 2*(-1)/1 + 22 + -18? 2 Evaluate (-5)/(-2) - 182/56. -3/4 What is the value of -5 + 0*(-1)/(-6)? -5 What is ((-2)/(-9))/(32/240)? 5/3 Evaluate (-2)/6*(1 - (-55)/20). -5/4 Calculate 12/(-3) - (-5 - (5 + -11)). -5 (94/84 - (-55)/(-66))*1 2/7 Evaluate 15/25 + (-2 - (-8)/(-5)). -3 Calculate (-9)/(-15) + 4/5 + -1. 2/5 What is the value of -5 + 8 + -7 + 1? -3 Evaluate (1 + 10/(-12))/(-8 - -7). -1/6 What is the value of 0 + 34/20 - (-64)/(-320)? 3/2 Calculate 14*4/(-80)*1/(-7). 1/10 Evaluate (-21)/(-140) + ((-27)/(-12) - 2). 2/5 Evaluate (-13)/(-1)*64/(-432) - -2. 2/27 What is (-1)/((-28)/(-8))*42/28? -3/7 17/(-4) - (15 - 18) -5/4 Calculate 3*-1 - 225/(-63). 4/7 What is the value of 1/3 + 63/324*-3? -1/4 What is (-6)/20*(0 + 2/(-6))? 1/10 Evaluate ((-6)/20)/(34/85 + 2). -1/8 4/22 - (-666)/(-2574) -1/13 What is the value of (-5)/6*108/135? -2/3 What is (3/12)/((-40)/(-32))? 1/5 (-13 - -7) + 16/3 -2/3 Evaluate (-4998)/(-735) + 6/4*-4. 4/5 What is 1 - (9 - (-153)/(-18))? 1/2 Calculate 20/(-35)*(-3)/4. 3/7 Evaluate -3*(4/36)/1. -1/3 Evaluate 11 - (-9)/((-63)/56). 3 What is (-38)/(-12) + (-35)/210? 3 Calculate ((-6)/(-14) - 0)*(-24)/18. -4/7 Evaluate (-25)/(-57) - (-14 - (-215)/15). 2/19 What is the value of ((-8)/(-32))/((-27)/36)? -1/3 ((-70)/(-28))/(15/27) 9/2 Calculate -2 - (-7)/2 - (-437)/(-322). 1/7 Calculate (5 - 40/12)*(0 - -3). 5 Evaluate 4/(-1) - (-1 + 5 - 11). 3 Calculate 215/75 - (-6)/(-2). -2/15 Calculate (-90)/120*(-1 + 10/9). -1/12 Evaluate (4/(-36))/((-18)/(-27)). -1/6 What is (-8)/(-52) - (-120)/(-273)? -2/7 Calculate -6*(-6)/(-216)*(-4 - 1). 5/6 12/28 - (-253)/161 2 What is the value of ((-7 - -7) + 2/(-4))/(-1)? 1/2 Evaluate -2 + 6/(-2) + 1. -4 Calculate (24/(-84))/((-1)/7). 2 Calculate 8/(-264)*(-6 + 0). 2/11 Evaluate ((-2)/(-3))/(8/96*-6). -4/3 10/(-16) + 15/(-40) -1 What is (-525)/70 - (-22)/2? 7/2 What is (2/(-2))/((-4)/(-16)*-2)? 2 What is the value of (-42)/(-54) + -1 + (-66)/(-54)? 1 Evaluate 1/((-8)/(-1)) + 351/(-1080). -1/5 What is (8 + -2)*(-2)/3? -4 What is 0/(7 + -4 + 12/(-3))? 0 What is 5/(15/4)*(-43)/430? -2/15 4*1*3/(-6) -2 What is the value of (2/4)/((-5)/40*1)? -4 Calculate -6*((-4)/6 - (-13)/19). -2/19 Calculate -2*((-219)/30 + 3 - -4). 3/5 What is (-22)/55*(-45)/6? 3 What is 3 + (-11 - (0 + -4))? -4 Calculate (-98)/56*240/(-42). 10 What is (-1)/7*(0 + -2)? 2/7 Evaluate (-2)/((-6)/(-36)*3). -4 Calculate (-2)/6 - (-14)/(-210). -2/5 What is (-4)/(-33)*36/24? 2/11 (((-5)/10)/1)/((-6)/3) 1/4 What is the value of ((-2 - 2) + 2)/(-4 - 4)? 1/4 Calculate (1/(-36))/(7/(-21)). 1/12 Evaluate (1 + (-2)/(-4))/((-10659)/(-1292)). 2/11 Evaluate 60/210 - 12/21. -2/7 (-11)/(-22) - (-9)/2 5 Evaluate 417/278*4/6. 1 Evaluate (-3870)/(-350) + 22/(-2). 2/35 What is ((-2)/2)/(1/(-3))? 3 Calculate 175/(-441) - 2/(-7). -1/9 -8 + (15/3 - 1) -4 What is ((-12)/10)/(12/40)? -4 Evaluate (1 + 55/(-75))*(-1 + -2). -4/5 Calculate (-1*(-2)/6)/((-7)/(-63)). 3 (8/(-12))/(12/(-18)) 1 13 + (-10 - (-1)/1) 4 (-24)/21*(-3)/(-12) -2/7 What is (-110)/((-110)/10) - (10 + -3)? 3 What is the value of (16 - -5 - 19)*(2 + 0)? 4 Calculate ((-5)/1)/(8 + (6 - 15)). 5 Calculate (-1140)/1672 - 4/(-22). -1/2 Evaluate (2/(-3))/((-11)/(-99)). -6 Evaluate 7 - (2 + 33/7). 2/7 What is the value of (-15)/(-12)*(-102)/(-765)? 1/6 (0 + -3)/(-3) - (-1 - -1) 1 Evaluate 91/35 + (1 - 4). -2/5 What is the value of 2 - (130/13 - (-3 - -11))? 0 Evaluate (-51)/(-7) + (-2)/2 - 6. 2/7 What is 70/42*(-2)/(-10)? 1/3 Calculate 15/10*(5 - 11). -9 What is 42/(-8)*((-104)/(-6))/(-13)? 7 Evaluate 1*(18 + -13) + -7. -2 Evaluate -5*4/(60/(-9)). 3 (8/48)/(3/(-24)) -4/3 Evaluate (-5750)/(-1375) + 0 + 1 + -5. 2/11 Evaluate ((-9)/6)/((-95)/38). 3/5 Calculate (81/(-36))/(-9)*24. 6 (-2)/7 + 420/98 4 What is the value of 4 + -1 + -5 + -2? -4 What is the value of (-1)/4*(140/(-10) + -6)? 5 Calculate ((-6 + 1)*8/(-20))/(-2). -1 (-2)/(-4)*-6*(-20)/15 4 -138 - -146 - 1*2 6 (-1224)/(-1575) + (-6)/(-75) 6/7 Calculate (-2)/5 - (-3 - -3). -2/5 What is 46/23 + (-9)/1? -7 ((-13)/(26/8))/(2 + 0) -2 What is (-3)/18*-3 + (-66)/(-12)? 6 What is ((-2562)/(-1155) - 3) + 3/5? -2/11 What is (12 + -11)*3*(-4 - -3)? -3 Evaluate -24 + 24 + 2 + 16/(-6). -2/3 Evaluate -2 + (-9)/(-3) + -3. -2 Calculate (-5)/5*(2/2 + 2). -3 What is 1407/(-268) - (-1 - (-1 + 5))? -1/4 Evaluate 12/(-66) - (-24)/11. 2 Calculate (1/(-4))/((-472)/(-96) - 5). 3 Evaluate 2 + (12/20)/((-6)/30). -1 Calculate -5 - -8 - 126/35. -3/5 What is 1 - (4 - 1 - 5)? 3 4/34 - 574/833 -4/7 Evaluate (-150)/210*2/(-20). 1/14 Calculate (40/(-10))/((-2)/(-4)*-2). 4 (-4)/(128/(-12))*(5 - 6) -3/8 Calculate 89/356 - (-11)/(-4). -5/2 What is 1/(-4) + 7/28? 0 Calculate (1/(-28))/(6 + (-207)/36). -1/7 What is the value of 15/(-6)*((-132)/(-20) + -5)? -4 Calculate (-12)/(3 + 5 + -6). -6 (-4)/(-3)*(81/6)/9 2 32/(-14) + -1*(-2)/7 -2 1/((-24)/(-28))*(-44)/(-77) 2/3 (-208)/(-64)*(-4)/(-26) 1/2 Evaluate (-105)/(-135)*-1 - (-2)/(-9). -1 What is the value of (192/(-21))/(-4) - (3 + -1)? 2/7 Evaluate 34/204 + 33/(-54)*-3. 2 What is the value of (-3)/2*(-5)/((-10)/(-4))? 3 Calculate -11 + ((-6)/1 - -13) - -3. -1 Calculate 3*2/(-9) - (-5)/(-15). -1 -1 + 30/8 + (-3)/4 2 (3/(-30)*4)/(3/(-15)) 2 Evaluate (15/((-75)/(-2)))/(6/15). 1 Evaluate (65/15 + -5)/((-7)/(-42)). -4 Evaluate (-7 - 30/6)*2/(-6). 4 Evaluate (-7)/(-42) + (-87)/(-18). 5 What is the value of (-156)/38 + 16/152? -4 Evaluate (2/(-42))/((-2)/3 + 1). -1/7 What is the value of 2 - ((-15)/(-7) + 4/(-28))? 0 Evaluate ((-30)/2 - 1)/(-3 - -1). 8 What is ((-1)/(-3))/(3/(-6))? -2/3 What is the value of (0 + 1)/((-35)/140)? -4 What is the value of (-1*(-16)/(-20))/((-224)/(-80))? -2/7 Calculate ((-1)/(-6))/((-5)/150). -5 What is the value of 9 + 1 - 166/166? 9 Calculate 8/(-176)*18*(-6)/(-9). -6/11 Calculate (-9)/27 - 2/(-6). 0 Calculate (-18)/12*(112/60 + -2). 1/5 Evaluate 3 -
{ "pile_set_name": "DM Mathematics" }
28114, -288237, -512416, -800657, -1152966, -1569349? -c**3 - 32019*c**2 - 9*c - 12 What is the l'th term of 1052, 1490, 2198, 3176? 135*l**2 + 33*l + 884 What is the b'th term of 101660, 406967, 915810, 1628189, 2544104, 3663555, 4986542? 101768*b**2 + 3*b - 111 What is the m'th term of -41, -65, -87, -89, -53, 39? 3*m**3 - 17*m**2 + 6*m - 33 What is the o'th term of -199, 5976, 12151, 18326, 24501? 6175*o - 6374 What is the o'th term of 7475643, 7475670, 7475721, 7475802, 7475919, 7476078? o**3 + 6*o**2 + 2*o + 7475634 What is the z'th term of -19606, -19670, -19732, -19792? z**2 - 67*z - 19540 What is the z'th term of -46449, -50646, -54843, -59040, -63237, -67434? -4197*z - 42252 What is the z'th term of 2903, 3338, 3761, 4166, 4547? -z**3 + 442*z + 2462 What is the o'th term of -105542, -105256, -104970, -104684, -104398? 286*o - 105828 What is the z'th term of 1253, 2044, 2803, 3530, 4225, 4888? -16*z**2 + 839*z + 430 What is the z'th term of 381975, 381352, 380729, 380106? -623*z + 382598 What is the v'th term of 1268596, 2537188, 3805784, 5074384? 2*v**2 + 1268586*v + 8 What is the i'th term of 73867, 294912, 663323, 1179106, 1842267, 2652812? i**3 + 73677*i**2 + 7*i + 182 What is the k'th term of -10098, -9843, -9424, -8841, -8094, -7183, -6108? 82*k**2 + 9*k - 10189 What is the g'th term of -24321, -23884, -23445, -23004? g**2 + 434*g - 24756 What is the m'th term of 75118, 150176, 225244, 300322, 375410, 450508, 525616? 5*m**2 + 75043*m + 70 What is the k'th term of 34649, 34376, 34099, 33818, 33533? -2*k**2 - 267*k + 34918 What is the f'th term of 38687, 42534, 46381, 50228, 54075? 3847*f + 34840 What is the m'th term of 17646, 35022, 52414, 69828, 87270, 104746, 122262? m**3 + 2*m**2 + 17363*m + 280 What is the q'th term of -83649, -83242, -82147, -80022, -76525, -71314, -64047, -54382? 57*q**3 + 2*q**2 + 2*q - 83710 What is the g'th term of -663874, -2655212, -5974114, -10620586, -16594634? -g**3 - 663776*g**2 - 3*g - 94 What is the c'th term of 175427, 175421, 175415? -6*c + 175433 What is the n'th term of 18372, 18254, 18152, 18072, 18020, 18002? n**3 + 2*n**2 - 131*n + 18500 What is the l'th term of -10244, -40997, -92252, -164009, -256268, -369029? -10251*l**2 + 7 What is the f'th term of 1617, 2401, 3753, 5709, 8305, 11577, 15561? 6*f**3 + 248*f**2 - 2*f + 1365 What is the q'th term of 1369575, 5478296, 12326163, 21913176, 34239335, 49304640? 1369573*q**2 + 2*q What is the d'th term of -4953581, -9907159, -14860737, -19814315, -24767893, -29721471? -4953578*d - 3 What is the z'th term of 4314, 18420, 41912, 74790, 117054, 168704? 4693*z**2 + 27*z - 406 What is the q'th term of -18595, -36528, -54457, -72382, -90303, -108220, -126133? 2*q**2 - 17939*q - 658 What is the d'th term of -1308, -3325, -6044, -9459, -13564, -18353, -23820? d**3 - 357*d**2 - 953*d + 1 What is the t'th term of -109138300, -109138301, -109138302, -109138303, -109138304, -109138305? -t - 109138299 What is the o'th term of 947, 5720, 18669, 43880, 85439, 147432, 233945, 349064? 681*o**3 + 2*o**2 + 264 What is the v'th term of -6324, -6127, -5806, -5361, -4792? 62*v**2 + 11*v - 6397 What is the b'th term of -193802898, -193802895, -193802892, -193802889, -193802886, -193802883? 3*b - 193802901 What is the a'th term of 12610, 12574, 12486, 12322, 12058, 11670, 11134? -4*a**3 - 2*a**2 - 2*a + 12618 What is the q'th term of -4641, -18560, -41755, -74226, -115973, -166996, -227295? -4638*q**2 - 5*q + 2 What is the n'th term of 5970, 12548, 19732, 27522, 35918, 44920? 303*n**2 + 5669*n - 2 What is the v'th term of 15118, 15149, 15178, 15205? -v**2 + 34*v + 15085 What is the j'th term of -71223, -70962, -70701? 261*j - 71484 What is the w'th term of -2779384, -5558792, -8338200, -11117608, -13897016, -16676424? -2779408*w + 24 What is the i'th term of 559540, 559520, 559500, 559480? -20*i + 559560 What is the i'th term of 4543169, 4543193, 4543219, 4543247, 4543277, 4543309? i**2 + 21*i + 4543147 What is the x'th term of 1029154, 1029180, 1029224, 1029286, 1029366, 1029464? 9*x**2 - x + 1029146 What is the u'th term of 9599730, 9599717, 9599694, 9599661, 9599618? -5*u**2 + 2*u + 9599733 What is the k'th term of -11275, -10412, -9549, -8686, -7823? 863*k - 12138 What is the q'th term of 2188, 7540, 16130, 27958, 43024, 61328? 1619*q**2 + 495*q + 74 What is the r'th term of 83642, 83580, 83474, 83324, 83130, 82892? -22*r**2 + 4*r + 83660 What is the r'th term of -732294, -732289, -732284, -732279, -732274? 5*r - 732299 What is the s'th term of -2067, -8673, -19681, -35091, -54903? -2201*s**2 - 3*s + 137 What is the f'th term of -596, -653, -770, -971, -1280, -1721, -2318? -4*f**3 - 6*f**2 - 11*f - 575 What is the g'th term of -267460, -267992, -268524, -269056, -269588? -532*g - 266928 What is the b'th term of 57, -454, -1831, -4506, -8911? -72*b**3 - b**2 - 4*b + 134 What is the a'th term of 3229, 6425, 9825, 13429, 17237, 21249, 25465? 102*a**2 + 2890*a + 237 What is the h'th term of 680, 2469, 5464, 9659, 15048, 21625? -h**3 + 609*h**2 - 31*h + 103 What is the d'th term of -86956, -173930, -260874, -347776, -434624? 2*d**3 + 3*d**2 - 86997*d + 36 What is the l'th term of 13703564, 27407130, 41110696, 54814262, 68517828? 13703566*l - 2 What is the s'th term of -453, -2322, -5165, -8760, -12885, -17318, -21837, -26220? 37*s**3 - 709*s**2 - s + 220 What is the j'th term of 579527, 1159145, 1738763, 2318381, 2897999, 3477617? 579618*j - 91 What is the r'th term of -153859681, -153859674, -153859667? 7*r - 153859688 What is the b'th term of -215408, -205002, -194594, -184184, -173772, -163358? b**2 + 10403*b - 225812 What is the m'th term of 331389, 662693, 993997, 1325301? 331304*m + 85 What is the g'th term of -138, -488, -1124, -2040, -3230, -4688? g**3 - 149*g**2 + 90*g - 80 What is the m'th term of -9484, -16707, -23930, -31153, -38376, -45599? -7223*m - 2261 What is the j'th term of -154931, -309832, -464733, -619634? -154901*j - 30 What is the l'th term of -20682, -41433, -62184, -82935? -20751*l + 69 What is the r'th term of 152592, 306207, 459824, 613443, 767064, 920687? r**2 + 153612*r - 1021 What is the i'th term of 123386, 122210, 121034, 119858, 118682? -1176*i + 124562 What is the b'th term of -2828, -9532, -20116, -34580, -52924? -1940*b**2 - 884*b - 4 What is the k'th term of -270530, -541052, -811574, -1082096, -1352618, -1623140? -270522*k - 8 What is the a'th term of 1195, 2308, 3403, 4474, 5515, 6520, 7483, 8398? -a**3 - 3*a**2 + 1129*a + 70 What is the k'th term of 61195, 61267, 61335, 61399? -2*k**2 + 78*k + 61119 What is the a'th term of -1645612, -3291189, -4936766? -1645577*a - 35 What is the w'th term of 506, 1981, 4400, 7751, 12022? -2*w**3 + 484*w**2 + 37*w - 13 What is the x'th term of 355140, 710228, 1065302, 1420356, 1775384, 2130380, 2485338, 2840252? -x**3 - x**2 + 355098*x + 44 What is the w'th term of 111519, 223014, 334509, 446004, 557499? 111495*w + 24 What is the o'th term of -942116, -942113, -942110? 3*o - 942119 What is the g'th term of -314229, -314226, -314223, -314220? 3*g - 314232 What is the f'th term of -18121, -18191, -18245, -18283, -18305, -18311? 8*f**2 - 94*f - 18035 What is the n'th term of -1541, -1491, -1367, -1127, -729? 7*n**3 - 5*n**2 + 16*n - 1559 What is the m'th term of 12534, 24177, 34932, 44799, 53778? -444*m**2 + 12975*m + 3 What is the f'th term of -358, -1356, -2722, -4198, -5526, -6448, -6706? 43*f**3 - 442*f**2 + 27*f + 14 What is the u'th term of -257195, -514393, -771573, -1028729, -1285855, -1542945? u**3 + 3*u**2 - 257214*u + 15 What is the l'th term of -651, -574, -439, -246, 5, 314, 681? 29*l**2 - 10*l - 670 What is the n'th term of -299980, -300570, -301554, -302932? -197*n**2 + n - 299784 What is the z'th term of -43383, -83957, -124531, -165105? -40574*z - 2809 What is the l'th term of 13628, 108894, 367454, 870950, 1701024? 13607*l**3 + 5*l**2 + 2*l + 14 What is the u'th term of -1026014, -1026008, -1026002, -1025996? 6*u - 1026020 What is the g'th term of -68877, -275601, -620109, -1102371, -1722357, -2480037, -3375381, -4408359? 5*g**3 - 68922*g**2 + 7*g + 33 What is the d'th term of 12129687, 12129698, 12129709, 12129720, 12129731, 12129742? 11*d + 12129676 What is the v'th term o
{ "pile_set_name": "DM Mathematics" }
(1053) + 1 + 3)*5 - (4 + -5 + -3*(sqrt(1300) + -1 - sqrt(1300))). 18 + 45*sqrt(13) Simplify (-1*(-1 + sqrt(17))*-4)**2 - (4 + sqrt(17)*-2 + sqrt(17)*-2*-1)**2 - ((-5*sqrt(68)/sqrt(4) + 0)**2 - sqrt(170)/(-6*sqrt(20)/sqrt(2))). -153 - 193*sqrt(17)/6 Simplify (0 + (((sqrt(162)*1*-1)/sqrt(9))/(-3*sqrt(36)/sqrt(4) + sqrt(9) + -6*-2*sqrt(9)))**2)*-2. -1/25 Simplify -4*(5*(sqrt(108) + 0 + sqrt(108)) - sqrt(108)*2*-6 - -2*(1 + sqrt(108)*2))**2. -292048 - 2496*sqrt(3) Simplify (sqrt(99)/(-1*sqrt(81)) + (-1*sqrt(704) - (sqrt(11) - sqrt(99)/sqrt(36))) - (5 + (1*sqrt(99) - (sqrt(44)/sqrt(4) + -1))*-4))**2. 5*sqrt(11)/3 + 311/36 Simplify 5 + 3 + sqrt(2299)*-1 + -5 + -1*(sqrt(2299) + (3*sqrt(2299) - sqrt(2299))**2 + sqrt(2299)) + 2*(sqrt(2299) + -1). -9195 - 11*sqrt(19) Simplify 5 + ((1 + ((sqrt(3888) - (-2 + sqrt(3888))*-4 - sqrt(3888)) + sqrt(3888) - (sqrt(3888) + -1 + -1)))*-4*5)**2. -576000*sqrt(3) + 24893205 Simplify (-1 + sqrt(1377) + (sqrt(17) - (-3 + sqrt(68))) - (-4 + (1 + sqrt(17))*2)*3)**2 + 2. 32*sqrt(17) + 134 Simplify (-1*(-3*sqrt(4840)*1)/((sqrt(224)*1)/sqrt(7)))**2*4. 5445 Simplify 3 + (sqrt(102)*-2*3 + 3*2*sqrt(102))/(2*(sqrt(672)*-2)/sqrt(7)). 3 Simplify ((sqrt(12) - sqrt(60)/sqrt(5))*2*-1)/(3*sqrt(216)*-5). 0 Simplify (3 + (-5*(sqrt(612) + -2) - (sqrt(612)*-2 + -3)) + 4)*6. -108*sqrt(17) + 120 Simplify -2 + (6*(sqrt(95)/sqrt(5)*-4 + -6*(sqrt(19)*1 + sqrt(19)) + 6*sqrt(475)*-1))**2. 1447342 Simplify ((sqrt(385)/sqrt(7) + sqrt(55))/sqrt(11) - (sqrt(5) + sqrt(5445) - sqrt(5)))**2 + ((sqrt(5) + sqrt(180) + 0 - sqrt(15)/sqrt(75))*4)**2. 42521/5 Simplify (1*-1*sqrt(528)*-5)/((sqrt(297)/sqrt(144))/(sqrt(3) + sqrt(27)*1)). 320*sqrt(3) Simplify ((4*(4*sqrt(420) - sqrt(420)))/sqrt(12)*-5)/((sqrt(42)*-2*-4)/(sqrt(18)/(sqrt(3)*-2))). 15*sqrt(5)/4 Simplify 4 + (((sqrt(114) - 2*sqrt(114))*2 - sqrt(114)) + 3*(-1*sqrt(114) - sqrt(114)))/((sqrt(6) - (sqrt(6) + sqrt(60)/(sqrt(50)/sqrt(5) + sqrt(10))))*2). 4 + 9*sqrt(19) Simplify (sqrt(363) - (((sqrt(363) + 0)**2 - sqrt(363)) + 1)) + 4*(-1 + sqrt(363)) + (-5*(sqrt(36) + sqrt(324)))/(sqrt(1452)*-1). -368 + 746*sqrt(3)/11 Simplify (6*5*(sqrt(143) - -2*sqrt(143))*-6)/((sqrt(11) - (2*sqrt(275) + sqrt(275))) + (sqrt(77) + -2*sqrt(77))/sqrt(7)). 36*sqrt(13) Simplify 0 + (-3*sqrt(847))**2 + (sqrt(847) - (-5*(sqrt(847) - (sqrt(847) + sqrt(847)*-2) - sqrt(847)))**2) - (-2*(sqrt(847)*3 + -5) + 2)**2. -44188 + 1595*sqrt(7) Simplify (sqrt(136)*2*-2*-1*2)/(((sqrt(72) + 2*sqrt(72))*-5)/(-3*sqrt(36))). 16*sqrt(17)/5 Simplify ((-3*3*sqrt(152) - (2*-1*sqrt(152) - sqrt(152) - sqrt(152)))/(-1*(-6*(sqrt(72)*-3 - sqrt(72)))/sqrt(9)))**2. 475/576 Simplify (((2*sqrt(304))/sqrt(8))/(sqrt(4)/(-2*sqrt(2))) + (-2*sqrt(304) + 1)*6)**2. -624*sqrt(19) + 51412 Simplify sqrt(4)/((sqrt(2)*-2 - sqrt(2)) + sqrt(2)) + 4 + (1*sqrt(2))**2 + 4 - (2*(-4 + (sqrt(2) - (4 + sqrt(2)*-1))))**2. -278 + 255*sqrt(2)/2 Simplify (-6*sqrt(165)/sqrt(5))/(-3*sqrt(891)) - (4 + (1 + sqrt(363))**2*-2). 398*sqrt(3)/9 + 724 Simplify ((sqrt(832) - (0 + sqrt(832))) + -1 + (sqrt(832) - (0 + sqrt(832))) + sqrt(832) + 2 + -3)**2 + 3 + sqrt(39)/(sqrt(12) - sqrt(3)) + (-1 + sqrt(1300))*1. -21*sqrt(13) + 838 Simplify -5 + (sqrt(1053) + 0)**2 + 0 - (-4 + (sqrt(1872)*-2)**2 - (((1*(sqrt(1872) + 1) - sqrt(1872))**2 + sqrt(1872) - sqrt(1872)) + sqrt(1872))). -6435 + 12*sqrt(13) Simplify ((2*(sqrt(77) - (sqrt(77) + -1*sqrt(77))) + sqrt(77)*-2*5)/(-5*sqrt(343)*-4))**2 + 4. 4944/1225 Simplify (-3*1*(sqrt(22) - sqrt(110)/sqrt(5)))/((sqrt(11) - (sqrt(11) - (1*3*sqrt(11) - sqrt(11))))*-3). 0 Simplify (((-4*(sqrt(256) + -2*sqrt(256)))/(1*sqrt(968))*6 + 0)*-2)**2. 73728/121 Simplify (((sqrt(4400) - -5*sqrt(4400)) + sqrt(33)/(1*sqrt(3)) + 2)*-5 + 1)**2*1. 10890*sqrt(11) + 4026356 Simplify 6*-5*(2 + sqrt(931))**2 + -4 + (sqrt(19) + -1*(sqrt(19) - (1 + sqrt(19))) - 6*sqrt(76) - (sqrt(209) + -1*sqrt(209)*6)/sqrt(11))**2. -27369 - 852*sqrt(19) Simplify ((sqrt(18)/sqrt(6) + 1 - (sqrt(45)/sqrt(5))/sqrt(3)) + -4 + sqrt(6)/(sqrt(2) + 1*sqrt(2) - sqrt(2))*-4 + -3)**2. 48*sqrt(3) + 84 Simplify 6*((sqrt(78) - (sqrt(78) - -4*sqrt(78)*2)) + sqrt(78) + (sqrt(78) - -5*sqrt(78)*2))/(-3*(sqrt(486) + -2*sqrt(486)) + 2*sqrt(486)*-1). 8*sqrt(13)/3 Simplify (-1*(3 + -3 + 6*(sqrt(275)*-2 + 1) + 3)*6)**2. -38880*sqrt(11) + 1428516 Simplify ((5 + (5 + 5*(1 + sqrt(98)))*-2*-2 + 4)*-6)**2. 493920*sqrt(2) + 1497636 Simplify (sqrt(49)*-4*-2 - 1*sqrt(7056))/(-1*(sqrt(7) - (-3*sqrt(7)*1 - sqrt(7)))*3). 4*sqrt(7)/15 Simplify (-2*-4*5*-1*sqrt(132))/((sqrt(96)/(sqrt(8)*2) + sqrt(12) - sqrt(12)) + -3*sqrt(1200)). 80*sqrt(11)/59 Simplify (sqrt(1331)*2)**2 + -5 + 5 - -2*6*(-1 + sqrt(22)/sqrt(2))**2. -24*sqrt(11) + 5468 Simplify 6*(-4*(sqrt(833) - (sqrt(833) + -4)**2) - (-4*(sqrt(833) + -3 + sqrt(833)))**2)*3. -901080 + 19656*sqrt(17) Simplify 6*(-5*(1*sqrt(475) + sqrt(19)) + (sqrt(1900)*-1 - sqrt(114)/(sqrt(6)*-2)) + 3)**2. -1422*sqrt(19) + 355845/2 Simplify sqrt(100)/sqrt(5) + 0 + 1 + ((sqrt(40)/sqrt(4)*3)/(sqrt(2) - sqrt(242)*1))**2. 29/20 + 2*sqrt(5) Simplify ((5 + sqrt(300) + -3)*-3)**2 - ((sqrt(192)*-1)**2 + -5 - (-1 + sqrt(192) + 2)). 368*sqrt(3) + 2550 Simplify ((-3*(-5*sqrt(76)*-1 + (sqrt(76) - (sqrt(76)*1 - sqrt(76))*-2)))/(-4*sqrt(36)/(sqrt(9) - (sqrt(9) - sqrt(144))*-1)))**2. 1539 Simplify -2*((4*(sqrt(114) + 2*sqrt(114) + sqrt(114)) - sqrt(114))/(2*sqrt(6)*-2) - 3*(sqrt(171) + -2 + (sqrt(190) - sqrt(190)*1)/sqrt(10)))**2. -49995/8 + 306*sqrt(19) Simplify 3 + 4 + ((sqrt(1573) - 2*(sqrt(1573) + 0)**2) + sqrt(1573) - sqrt(1573)) + sqrt(1573)*-1*-2 + ((sqrt(1573)*-1 - sqrt(1573)) + -1 - sqrt(1573)) + 5. -3135 Simplify ((sqrt(42)/(sqrt(7)*1))/(sqrt(3) - sqrt(36)/(sqrt(12) - sqrt(12)*-1)))**2 - (sqrt(100)/(sqrt(24)/(sqrt(60)/sqrt(5))))**2. -42 Simplify ((4*sqrt(288))/sqrt(8) + sqrt(36) - 1*(sqrt(144) + sqrt(36)))/((-1*sqrt(72)*1)/(sqrt(108)/sqrt(2))). -6*sqrt(3) Simplify ((3 + (sqrt(68) - (sqrt(68) + 3))*-1 - (sqrt(68) + -2*sqrt(68)*-3 + -3))*-4)**2. -4032*sqrt(17) + 54608 Simplify ((-6*(sqrt(4212) + -2) - (sqrt(4212) - ((1 + sqrt(4212) + sqrt(4212))*4 + sqrt(4212))))**2*6 + 3)*-3. -307881 - 20736*sqrt(13) Simplify ((4*(sqrt(288) + 3) + sqrt(288))*-3 + sqrt(288)*1 + sqrt(288) + -1 + 2)*-5. 175 + 780*sqrt(2) Simplify (-6*(sqrt(448) - -1*sqrt(448))*-1)/((1*sqrt(2904))/(sqrt(66)/sqrt(99))). 16*sqrt(7)/11 Simplify (((1*sqrt(110)*-6)/(sqrt(110)/(1*sqrt(11))))**2 + ((sqrt(99)*-1*-4)/(sqrt(63)/sqrt(112)))**2)*5. 16060 Simplify ((-1 + (sqrt(99) - (sqrt(99) - sqrt(99)*1)))**2 + sqrt(99) - (3*(-2 + sqrt(99) + sqrt(99)))**2) + ((sqrt(88)*-3)/sqrt(2))/(sqrt(12)/sqrt(3)*-4). -3500 + 855*sqrt(11)/4 Simplify ((sqrt(240)*1)/(sqrt(84)/(sqrt(7)*-2)) + (sqrt(4860)*1)/(2*sqrt(12)*1))**2. 5/4 Simplify (-4*3*(2 + 1*(0 + sqrt(153))*6)*-5*-2)**2. 1036800*sqrt(17) + 79372800 Simplify ((-2*((sqrt(204) - (sqrt(204) + -1*sqrt(204)))*6 + sqrt(204) + -6*(sqrt(204)*1 + sqrt(204))))/((-1*sqrt(144))/(5*sqrt(6)/sqrt(2))))**2. 10625 Simplify (3*((sqrt(77) - -1*sqrt(77)) + sqrt(77))*-2*-6)/((sqrt(495) - (sqrt(495) - 2*sqrt(495)))/((sqrt(150)/sqrt(5))/sqrt(6))). 18*sqrt(7) Simplify (-4*(3 + sqrt(1700)*1 + sqrt(1700)))**2 + ((sqrt(306)*5 + sqrt(34))/(sqrt(18)*-3))**2 + 5 + 3. 1920*sqrt(17) + 8829464/81 Simplify ((sqrt(420)*2*3 + sqrt(420))/(sqrt(40)/(-2*sqrt(4))))/((-5*sqrt(168)/sqrt(4))/(sqrt(63)*1))*-1. -42*sqrt(7)/5 Simplify -1 + (5*(sqrt(130) - 1*sqrt(130))*1*5)/(1*sqrt(250)*4*5). -1 Simplify 4 + ((2*-1*sqrt(84))/(sqrt(48)/sqrt(4)*3 - sqrt(12)) - (5*(1 + sqrt(343)) - ((1 + sqrt(343) - sqrt(343)) + 1)**2)). -36*sqrt(7) + 3 Simplify ((2 + sqrt(45) + -5)*6 - 2*(-2 + sqrt(720)*1))**2. 168*sqrt(5) + 376 Simplify 3*6*(sqrt(125) + (sqrt(125) - 5*(-1 + sqrt(125)))) - (sqrt(125)*-1*-6*-5 + 5)**2. -112435 + 1230*sqrt(5) Simplify -4 + 5 + ((sqrt(75)*-1 - sqrt(75))*-2 + (sqrt(75) + 1 + -4 - sqrt(75)) + 5)**2. 80*sqrt(3) + 1205 Simplify (6*(0 + sqrt(1008) + 2 + 0 - (1 + (sqrt(1008) + 0)*-1)) + -3)**2. 864*sqrt(7) + 145161 Simplify (-5*5*(-5 + 3*(sqrt(1008) - (5 + sqrt(1008)*-1) - sqrt(1008)) + (-1 + sqrt(1008))*3 + -2*(-1 + sqrt(1008))))**2. -1260000*sqrt(7) + 10355625 Simplify (-3*sqrt(50)*-4 + -5)**2 - (sqrt(882) - 4*sqrt(882)*2)**2. -35993 - 600*sqrt(2) Simplify (((sqrt(66) - sqrt(66)*1)*-5 - (sqrt(66) + -1*sqrt(66)*-5))/((sqrt(1452) + 1*sqrt(1452) +
{ "pile_set_name": "DM Mathematics" }
-m**3/3 - 9*m**2/2 + 12*m + 5. Let c be u(-10). Let r = -135 + 139. Solve 2*b + s + c*s = 8, 0 = -2*s + r for b. 1 Let w(k) = -10*k**2 + 65*k - 27. Let v be w(6). Solve 0 = -o - v*d + 12, -6 = d - 3*d for o. 3 Let l be 22/8 - (-4)/16. Solve -c - f = f + 4, l*f + 4 = -2*c for c. 4 Let q(z) = z**2 - 10*z - 39. Let w be q(-3). Solve w = -4*u + s + 3*s + 8, u - 10 = -3*s for u. 4 Let d = 439 - 434. Solve -t = d*w + 9, 2*t = -w - 0*w for w. -2 Suppose -5*t + 2*z + 10 = -2*t, 0 = -4*z - 8. Suppose 5 = -0*s + s. Solve 0 = -t*y - 2*h - 16, -s*y - 13 = -0*y - 4*h for y. -5 Let h = -2640 + 2646. Solve n - h = -4*c + 3*c, -n = 2*c - 10 for n. 2 Let w(n) = -3*n + 82. Let c be w(0). Let i = 85 - c. Solve -3*u - u - 4*l + 32 = 0, 3*l - i = 4*u for u. 3 Suppose 4*m - 32 - 28 = 0. Solve 2*n - 3*t + 6 = -1, 3*t - m = 0 for n. 4 Let p(y) = y**2 - 19*y + 21. Let z be p(18). Suppose 3*g - o - z = g, -5*o = -5*g + 5. Solve 0 = -m - g*q - 11, 3*m + 11 + 10 = -3*q for m. -3 Suppose -5*q + 45 - 145 = 0. Let b be 8/3 + -1 + q/(-15). Solve 0 = 5*s - b*o - 4 + 2, -o = -4*s - 4 for s. -2 Let d = 142 + -140. Let j(f) = f**3 + 4*f**2 + f - 2. Let m be j(-4). Let i = -1 - m. Solve q - d*a = 5*q + 18, -i*q = 3*a + 22 for q. -5 Let z(v) = -v**3 - 10*v**2 - 3*v - 5. Let a be z(-10). Let c = a - 17. Let l = -5 + c. Solve 3*q = -3*k - l, -q = -k + 4*k + 9 for k. -4 Let w(n) = -558 + 298 + 3*n + 277. Let v be w(-5). Solve -4*b = g - v*g - 9, 0 = g - b + 6 for g. -5 Suppose b - 2*b = -1. Suppose 6*k - 31 = -b. Let i be 2*(-3 + 2) + 4. Solve -3*z - p + 12 = z, -i = k*z - 3*p for z. 2 Let o(v) = -4*v - 100. Let g be o(-26). Solve g = -4*p + 3*k, 4*k = -11*p + 6*p - 36 for p. -4 Let k(v) = v**2 - 7*v - 6. Let n be k(6). Let m = 15 + n. Solve 0 = -2*x - y + 1, 5*y - 2*y = -m*x - 3 for x. 2 Let v(w) = w**2 - 5*w - 9. Let y be v(7). Let p be (-2)/(-4) - (-13)/2. Suppose -l - 6 = -p*l. Solve 2*g + l = -5*j, 0*j + 16 = -y*g + j for g. -3 Suppose 0 = 82*o + 3*o. Solve -5*x + 4*y = -11, 37*x - 40*x + y + 8 = o for x. 3 Suppose 0 = 9*x - 6*x - 15. Solve 2*l + x*d - 13 = 15, l - 3*d = -8 for l. 4 Let u = -22 + 24. Suppose y - y = -u*y. Solve 0*k + 13 = -5*k - 4*l, k - l + 8 = y for k. -5 Let s(v) = -v**3 + 7*v**2 + v + 1. Let c be s(7). Let u be ((-15)/6)/(105/(-126)). Solve 0 = 4*l - u*k + c, -3*k = -k for l. -2 Let u(m) = m - 3. Let k be u(4). Let r be k*(-2 - 0)*-2. Solve 0 = r*w - 2*s, -2*s - 10 = -w + 2*w for w. -2 Suppose 61*t = 64*t - 6. Solve -t*x = 5*b + 18 + 2, 4*b + 16 = 5*x for x. 0 Let o = 19 + -14. Solve -3*g + 4*i - 31 = 0, 5*g + 5*i - o = 2*g for g. -5 Let m = 137 - 138. Let k be (-4 - (2 - 8)) + (-2)/m. Solve 13 = 3*c - v, c - 1 = v + k for c. 4 Let d(y) = y**3 - 5*y**2 + 6*y - 6. Let n = -30 + 34. Let r be d(n). Solve 0 = 3*v + 2*c + 10, -v + 3*c + 2 = -r for v. -2 Let z = 7 + 17. Suppose z = -0*y + 2*y. Solve 5 = -n - l, l = 4*n - 3*l + y for n. -4 Let r be -6 + 9 + 0 + -2. Solve -2*b = 2*q + 14, 0*b = -2*q + 3*b + r for q. -4 Let q be 2/9 + (-170)/(-45). Let s = -1073 + 1076. Solve b - s*d = -5, -d - q*d + 20 = -4*b for b. -5 Let m(b) = -b**3 + 10*b**2 - 6*b + 18. Let d be m(10). Suppose 0 = -4*z + 5*z + 14. Let a be 8/3 + z/d. Solve 2*w + 0*x - 4*x = -12, -a*w = 4*x - 2 for w. -2 Suppose 6*a = 269 + 205. Let l = 87 - a. Solve 4*m = -9*x + 4*x - l, 7 = -4*x - 3*m for x. -4 Let p = -175 - -95. Let u be ((-2)/(-8))/((-4)/p). Solve 0 = 5*i + 5*z, -2*z = -0*i - u*i + 28 for i. 4 Let p = -4 - 20. Let b be (-64)/p + 2/6. Solve 12 = -b*u + a, -2*a - 4 = u + a for u. -4 Let f(g) = -813*g**2 - 2*g - 1. Let a be f(-1). Let o be a/(-98) + (-4)/14. Solve 19 = -3*h + v + v, 4*h + 4*v = o for h. -3 Let n(d) = -10*d - 196. Let m(h) = 2*h + 39. Let y(w) = -14*m(w) - 3*n(w). Let s be y(-20). Solve -x + 2*z + s = 7*z, 3*z = 0 for x. 2 Suppose 155 = -4*h - 7*j + 4*j, -2*h - 3*j - 73 = 0. Let c = h + 44. Solve 0 = 2*q + k - 3, 0 = -q - c*q - 5*k - 9 for q. 4 Let c(z) = 16*z**2 + 20 + 16*z + 4*z**2 + 0*z**2 - 4*z**2 + z**3. Let a be c(-15). Solve 0 = -3*p - a*q - 7, 2*q - 31 + 9 = 5*p for p. -4 Suppose -h - 3 = -2*y, 4*y + 1 = 3*y + 3*h. Solve 2*n = -y*u - 14, -3 = 5*u - 4*n - 13 for u. -2 Suppose -7*b - 2 = -23. Let s(w) = -w + 16. Let r be s(13). Solve b*m - r = -3*z, 3*z + 7 = 4*m + 6*z for m. 4 Suppose 19 = -t + 7. Let c = 15 + t. Suppose 2*k + 4 = 2*u, 0 = 6*u - c*u + k + 2. Solve 0 = 3*r + 5*s - 21, s = 2*r - u*s - 1 for r. 2 Let l be (-4)/2*(-27)/18. Solve -l*f - 11 = 4*b, 11 + 7 = -4*f - 2*b for f. -5 Let v be -14 - (-2 + 2)*1. Let w be v/49 - 69/(-21). Let m(l) = 7*l**2 - 2. Let z be m(-2). Solve -j + 11 + 3 = -w*b, 5*b - 3*j + z = 0 for b. -4 Let l = 15 - 3. Let o be l - 10 - (1 + -4). Solve -1 = -o*j - 3*u + 18, 3*j - 11 = -2*u for j. 5 Let o(g) = 97*g - 191. Let y be o(2). Solve -i = y*l - 15, 3*i - 20 = -7*l + 3*l for i. 0 Suppose -5*a + 5*c = -50, -3*a = c - 0*c - 10. Suppose 7 + 43 = 25*h. Suppose -h*k = -6, p - a*k + 15 = -p. Solve -i + 4*y + 0 + 7 = p, -5*i + y = 22 for i. -5 Suppose 53*k - 2*r = 51*k + 6, 55 = 5*k + 3*r. Solve -p = 4*j - 4*p - k, 3*p = 12 for j. 5 Let z(d) = d**2 - 13*d - 39. Let v be z(13). Let g = v - -42. Solve 4*r = -5*q + 13, 3*r = 2*q + q + g for r. 2 Let n be 4/((3*1)/((-135)/(-18))). Suppose 46 = 12*y + n. Solve -y*l = r + 3*r - 11, 2*r - 2 = 2*l for l. 1 Suppose -3*a + 7*a = -5*i + 15, -3*a - i + 14 = 0. Solve 5*l - 2*w + 3 + 2 = 0, a*l = w for l. 1 Suppose 2*z = 4*y - 8*y + 28, 0 = -5*z - 10. Let s be 13/((-156)/8) + 272/3. Let q = s + -85. Solve -j + 2*f = -y, -3*f - f = q*j + 30 for j. -2 Let r be 3/(-21) + (3 - 8/(-7)). Solve -r*x - x + 25 = -5*a, 5 = 3*a + 2*x for a. -1 Let n be 0 + 7 + -2 - 2. Let i be (9/4)/((-2)/(-8)). Suppose -6 = -n*o + i. Solve o*g = 2*a - 19, 0*g = -a + g + 5 for a. 2 Let n be -1 + -1 - 4/1. Let x be 14/21 + (-26)/n. Let p(r) = 2*r - 1. Let u be p(2). Solve s + 2*s = -u*w + 12, 0 = x*s for w. 4 Let c be (-3 - (-6)/(-9)*-15) + -2. Solve -c + 17 = 3*f + 4*i, 0 = 3*f - 5*i + 15 for f. 0 Suppose 0 = -3*q + 6 + 3. Let w = 191 + -187. Solve w*v = -20, v - 5*v - 35 = -q*u for u. 5 Suppose 29313 = -41*r + 29436. Suppose -3*u - 2*u = 0. Suppose -2*l = 4*b + 6 - 32, 2*l = 4*b - 46. Solve u*d = 4*k + d, r*k + 3*d = -b for k. 1 Let d = -7 - -14. Let o(r) = -16*r + r**2 + d*r + 7 + 5. Let s be o(8). Solve 0 = -a + 3*q - 2, 0 = 5*a - s*q - 1 for a. 1 Suppose 2092 = -5*n + 4*r, 0 = -6*n + 8*n + 2*r + 844. Let t be ((-4)/5)/(3/(-60)). Let z be n/(-26) - t/104. Solve -4*c - 2*k + z = 0, k - 3 = -4*c + 11 for c. 3 Suppose -2*n = -4*n + 4. Let a be (5 + 1)*n/3. Solve w - 8 = a*f, -w - f + 0 = -3 for w. 4 Let s be ((-300)/125)/(6/(-20)). Solve -2*k + s = -5*m, 2*k = 7*k - 5*m - 5 for k. -1 Suppose 2*s + p - 5 = -1, -p = -2*s + 4. Suppose 3*i + 13 = -g + i, -3*g + s*i - 7 = 0. Let b = g - -8. Solve b = -3*k - 4*f, 0 = -k + 3*f - 5*f - 3 for k. 3 Let y be (-1*2/1)/((-9)/315). Let i = -63 + y. Solve 2*x - 5*u + 18 = 0, 3*u - i = x + u for x. 1 Let y be ((-4)/12)/(1/6). Let t be (-3)/(-6) - 5/y. Let z be (0 - t) + (3 - 0). Solve 2*r + r + 12 = 0, -4*f - 4*r = z for f. 4 Suppose 25 = 5*l - h, 7 = 4*l + 5*h + 16. Solve -x = 2*n, -l*x + 24 = -4*n - 0*n for n. -2 Let d = -6 - -24. Suppose -k - k + 8 = 0. Let m be (1 - 3) + k/1. Solve y = l, m = -4*l + d for y. 4 Let g = 0 + 1. Let v be g + 12/(-4) + 2. Solve -t + v*t - 2*f = 9, 4*f = -16 for t. -1 Let w = -1685 + 1687. Solve w*v = -4*r + 16, 0 = 6*v - 2*v - 4*r + 4 for v. 2 Let j = -1 + 4. Let o be (6 - 3)*1/j. Suppose -19 - o = -2*f - 3*l, 16 = 2*f + 2*l. Solve 3*w + 14 = f*k + 5*w, 5*k + w = 13 for k. 2 Let j be 3 + (-7 + 5 - -8). Suppose -7 - j = -4*i. Solve o = -5*m + 3, -m - i*m = -3*o + 9 for o. 3 Suppose -5*r + 2 + 17 = 2*l, -2*l = r - 7. Let i(s) = 1 + 3*s + 5 - l*s. Let b be i(-5). Solve -m - 22 = 2*m - 5*q, 4*m = q - b for m. 1 Let p = -56 - -60. Suppose 5*n = 2*g + 4, -g + p*n = 3*n - 4. Solve -2*j + 2*w = -j + 8, -3*j = 2*w + g for j. -4 Let g(z) = -z**3 + z + 20. Let j be g(0). Let m be j/(-8) + (-1)/(-2). Let n be (3 + -12)/(-3) - m. Solve 0 = -4*t - n*u + 17, 4*t - 3*u + 7 + 16 = 0 for t. -2 Let i(c) = 2*c + 40. Let a be i(-20). Solve -v + 29 = -5*t - a*v, 2*v - 13 = t for t. -5 Let r(c) = -2*c + 2*c - 4*c - 9 + 6*c. Let f be r(6). Suppose -5 + 2 = -l. Solve l*m - m + 2 = f*y, y
{ "pile_set_name": "DM Mathematics" }
/((-3)/(-2)). Determine j(h). 23 Let b = 6119 + -6118. Let i(l) = l - 7. Determine i(b). -6 Let w(n) = n**3 + 11*n**2 - 32*n - 77. Let q(y) = -y**3 - 12*y**2 - 3*y - 49. Let f be q(-12). What is w(f)? 1 Let u(n) be the third derivative of n**5/60 + n**4/4 - 10*n**3/3 + n**2 - 1464. Give u(-8). -4 Let a be (0 + (-1)/1)/((-2)/(-10)). Let k(u) = 6*u**2 + u - 3. Let r be k(-3). Let q(z) = -z**2 - 21 - 21 - 3*z + r. Determine q(a). -4 Suppose b + 5 = -0*b, 0 = -d + 2*b + 30. Let j(q) = 77*q - 27*q + 8 - 28*q - d*q. Determine j(-7). -6 Suppose 0 = -21*g + 458 - 626. Let v(z) = z**2 + 5*z - 19. Determine v(g). 5 Let j(i) = -362*i - 9. Let s(u) = -1955*u - 44. Let h(k) = 16*j(k) - 3*s(k). Calculate h(3). 207 Let o(v) = -7*v - 13. Suppose -5*u - 5 = -0. Let l(w) = -68*w + 18*w + 26*w + 25*w. Let h(t) = u*o(t) - 6*l(t). Determine h(-7). 6 Let c(u) = -u - 16. Let h be c(-16). Suppose h = 6*m - 189 + 45. Let y(o) = -o**2 - 2*o**2 + 22*o**3 - m*o**3. Give y(-2). 4 Let c(m) be the third derivative of -m**5/60 + m**4/8 - 7*m**3/6 - 2*m**2 - 2571*m. Suppose -4*g + 32 = -4*x, 0*g - 3*x = 2*g - 1. Calculate c(g). -17 Let t(b) = 31*b - 2*b**3 - 33*b + 6*b**2 - 2*b**3 - 5 + 3*b**3. Let j be ((-46)/(-4))/(3/2 - 1). Suppose 0 = j*m - 8*m - 75. What is t(m)? 10 Let o(g) = 11*g - 13. Let k(c) = -c**3 - 6*c**2 - 4*c + 10. Let n be k(-5). Let a(i) = i - 2. Let b(s) = n*a(s) - o(s). Determine b(2). -9 Let d = 8034 - 8037. Let r(s) = 3*s**2 - 4*s - 5. Determine r(d). 34 Suppose -30*k + 179 - 252 - 137 = 0. Let o(p) = -10*p - 30. What is o(k)? 40 Let x = -248 - -382. Let z(n) = -x - n**2 + n**3 - n**2 + 152 - 7*n**2 - n. Let q be z(9). Let h(w) = -w. Determine h(q). -9 Let x(o) = -100*o**3 + 3*o**2 + 7*o + 5. Let u be x(-1). Let j(v) = -20 - 32*v + u*v - 36*v - 36*v. Calculate j(-8). 4 Suppose -n + 5*q - 10 = -6*n, -5*n + 5*q = 10. Let b(j) = j + 80 + 82 - 170 - 2*j. Calculate b(n). -8 Let h(a) be the second derivative of a**6/360 - a**5/12 - 19*a**4/24 - a**3/6 + 5*a**2 - 140*a. Let w(b) be the second derivative of h(b). Give w(13). 20 Suppose 2*o - 13 + 17 = 0, w = o + 10. Let b(z) = -3*z + 8 + 7 + 4*z. Let m(y) = 2*y + 44. Let s(i) = w*b(i) - 3*m(i). What is s(9)? 6 Let p(u) = 44*u - 128. Let b = 10228 - 10225. What is p(b)? 4 Let i(c) = -20*c**3 - 5*c**2 - 13*c + 19. Let o(t) = -13*t**3 - 3*t**2 - 8*t + 12. Let z = 99 + -91. Let u(b) = z*o(b) - 5*i(b). Let n = -5 + 4. Calculate u(n). 5 Let h(z) = -71*z + 50*z - 9396 + 9623. Determine h(11). -4 Let b(a) = 16*a**2 + 340*a + 86. Let d be b(-21). Let m(l) be the third derivative of 0*l + 0 + 0*l**3 - 1/12*l**4 + 7*l**d. Calculate m(-2). 4 Let y(t) = -13*t**2 + 30*t - 12. Let q(i) = -8*i**2 + 17*i - 7. Let g(f) = 5*q(f) - 3*y(f). Give g(-7). -13 Let c(j) = -j + 1. Let o(b) = -7*b + 6. Let m(a) = -2*c(a) + o(a). Let i(d) = -2*d + 2. Let q = -28 - -37. Let k(w) = q*i(w) - 4*m(w). What is k(2)? 6 Let c(p) = -63*p - 2. Let r be (-2)/1*35/(-20)*8/(-28). Calculate c(r). 61 Let x(q) be the first derivative of -q**5/60 + 5*q**4/24 - q**3/2 + 44*q**2 - q + 233. Let d(n) be the second derivative of x(n). Give d(6). -9 Let d(q) = -6 - q**2 + 54*q + 11 - q**2 + 11*q**2 - 4*q**2. Calculate d(-11). 16 Let x be (-1 - (-17 - 0)) + 2. Suppose -19*h + 3 = -x*h. Let k(j) = -j**3 + 4*j**2 - 3*j. Give k(h). 0 Let o(f) = f - 19. Let u be (-1152)/42 + 2/14*(-33)/(-11). What is o(u)? -46 Let v(a) = -41 - 38 + 8*a + a**3 + 6*a**2 + 84. Calculate v(-4). 5 Let y(c) = 67*c + 7710. Let d be y(-115). Let k(i) = i**2 - 2*i + 7. Let m(t) = -1. Let g(x) = k(x) + 4*m(x). Calculate g(d). 18 Let a(q) = -q**3 - 30*q**2 + 38*q + 213. Let s be a(-31). Let n(i) = 16*i + 33. What is n(s)? -31 Let p(k) = -k**3 + k**2. Let b(n) = 6*n**3 - 10*n**2 - 4*n + 3. Let h(g) = -g**3 - 35*g**2 + 1. Let r be h(-35). Let v(s) = r*b(s) + 5*p(s). Calculate v(4). -29 Let b(d) be the second derivative of -d**4/2 + 29*d**3/6 - d**2 - 20*d - 1. Let o be b(5). Let g(t) = t**2 + 5*t + 6. Give g(o). 20 Let g(w) = 84 - 10*w + 100 + 31*w - 16. Calculate g(-8). 0 Let o(n) = -n + 7. Suppose 0 = -6*z - 0*z - 444. Suppose 2*i = 4*s - 0*i - 328, 243 = 3*s - 3*i. Let g = s + z. Calculate o(g). -2 Let x(i) = -98 - 2*i - i**2 - 98 - 2*i + i + 194. Let r = 46 - 25. Let s be (6/(-4))/(r/56). What is x(s)? -6 Let c(v) = -51*v + 2 + v**3 - 3*v**2 + 4 + 24*v + 31*v. Determine c(3). 18 Suppose -4*m + 4*z = -432, z - 139 + 568 = 4*m. Suppose -4*t - m*v - 52 = -109*v, -4*t - v = 40. Let s(f) = -f**2 - 9*f + 18. Determine s(t). -4 Let x(y) be the second derivative of 55*y**3/6 + 115*y**2/2 + 170*y + 8. What is x(-2)? 5 Let o(b) = 26825 - 34*b + 26827 - 53670. Determine o(3). -120 Suppose 3720 = 15117*k - 14745*k. Let j(a) be the first derivative of a**4/4 - 11*a**3/3 + 7*a**2 - 13*a + 1. Determine j(k). 27 Suppose -171 = -2*t + 265. Let r(n) = -70*n - t + 69*n + 191. Give r(0). -27 Let p(r) = 26*r**2 - 31*r - 63. Let w(d) = 4*d**2 - 5*d - 10. Let z(i) = 3*p(i) - 19*w(i). Let o = -9 + 19. Suppose -3*t + o = 2*t. Calculate z(t). 13 Let l(d) = -d**3 + 4*d**2 - 4*d + 11. Let v be l(4). Let s be 0 - (-2 - 1) - 0. Let o(r) = 6*r - 4 - s*r + 2 + r**2 + 3*r. Determine o(v). -7 Let z(h) = -2*h**2 - h + 2. Let w(f) = -23*f**2 - 24*f + 21. Let y(s) = w(s) - 12*z(s). Determine y(12). -3 Let v(x) = -4*x - 30. Suppose -17*c + 4*g + 29 = -22*c, -2*c + 4*g = 6. Calculate v(c). -10 Let y(j) = j**3 + 63*j**2 - 132*j - 129. Suppose -4*i = s + 259, -3*s + 35 + 98 = -2*i. Determine y(i). 1 Let z(v) be the second derivative of -v**3/6 - v**2/2 + v. Let x be (-22)/(-4) - (-4)/(1 + 7). Suppose x = -7*s + 41. Calculate z(s). -6 Let q(x) = -x**2 - 3*x + 5. Let m be q(-4). Let c(d) = 7*d**2 - 19*d + 8. Let a(t) = 251*t**2 - 694*t + 292. Let l(u) = 2*a(u) - 73*c(u). What is l(m)? -10 Let h = 4 - 29. Let j = h + 3. Let r = j + 22. Let z(i) = i**2 - 17. Determine z(r). -17 Let j = -74 + 76. Let r(i) = 10*i - 13 + 10*i**j - i**3 - 12*i + 7*i + 8*i. Determine r(11). 9 Let r = 1 + -2. Let j be (-15)/10*12/27*-189. Let a(q) = -10*q**2 - 127*q + j*q - 1 - q**2. What is a(r)? -11 Let n(t) be the first derivative of -t**4/8 + t**3/3 - 175*t**2/2 + 144. Let z(g) be the second derivative of n(g). Calculate z(-3). 11 Let t(y) = -y**3 - 4*y**2 + 4*y - 11. Suppose -2*c - 38*c - 280 = 0. Let f be (1/2)/(c/56) + -1. Determine t(f). -6 Let q(p) = 5*p**2 - 11*p - 10. Let j(b) = b**2 - b - 1. Let a(r) = 6*j(r) - q(r). Let d be (-17)/(221/91) - (0 + (0 - 1)). Calculate a(d). 10 Let s = 12019 - 12013. Let r(a) be the first derivative of s*a + 3/2*a**2 + 2. What is r(-4)? -6 Let m(g) be the third derivative of g**7/1680 + g**6/360 + 2*g**5/3 - g**2 + 1. Let t(q) be the third derivative of m(q). Give t(-1). -1 Suppose 0 = 5*r - 5 - 0. Let d(m) be the third derivative of -m**5/30 - m**4/24 + 13*m**2 + m - 109. Calculate d(r). -3 Let b(h) = 51 + 14*h - 5*h**3 - 66 - h**3 + 7*h**3 + 11*h**2 + 39. Determine b(-10). -16 Let r(l) = -15*l. Let c = -1 + -20. Let v be (-2)/(-8)*6*658/c. Let t = v + 46. Calculate r(t). 15 Let x(d) be the third derivative of -d**5/60 + d**4/8 - d**3/3 - 111*d**2 + d. Determine x(4). -6 Suppose 3 = -4*x - 3*j - 1, 2*x - j = -2. Let b(w) be the second derivative of 4*w**3/3 + 3*w**2/2 + 116*w. Determine b(x). -5 Suppose -73*o + 77*o = 28. Suppose 20*h + 33 = -o. Let g(u) = -4*u**2 - u - 2. Determine g(h). -16 Let r(j) = -13*j**2 - 57*j - 36. Let n(u) = -21*u**2 - 89*u - 53. Let m(w) = 5*n(w) - 8*r(w). What is m(14)? -19 Let k(p) = -p**2 + 23*p + 256. Let h be k(-8). Let d(a) = 2*a - 1. What is d(h)? 15 Suppose -5*c = 2*x - 4, -2*x + x + 2 = c. Suppose -3*v - 3*r = -75, 4*r + 0*r = 3*v - 40. Let i(l) = x*l - l - 20 + v. Calculate i(-5). -5 Let w(m) = -321 - m**3 + 317 + 2*m**3 - 5*m**3 + 2*m**2 - m. Determine w(2). -30 Let i be 13 + 20/(-130)*(3 - -10). Let v(z) = z**3 - 10*z**2 - 7*z - 2. What is v(i)? 42 Let x(f) be the second derivative of 1/3*f**3 - 27/2*f**2 - 17*f - 2. What is x(15)? 3 Let s(r) be the first derivative of 10*r**2 - 12*r + 20 + 14/3*r**3. Let k(j) = 5*j**2 + 7*j - 4. Let u(i) = 11*k(i) - 4*s(i). Determine u(-6). -14 Let l(y) = -3*y**3 - 4*y**2 + 4*y + 112. Let v(d) = 10*d**3 + 12*d**2 - 11*d - 390. Let a(t) = 7*l(t) + 2*v(t). Calculate a(-6). 40 Let c be (11 - (-122)/(-11))*0. Let b(j) = 9*j + 3. Calculate b(
{ "pile_set_name": "DM Mathematics" }
**2 + 1 Let f(i) = 6*i + 243. Let z(g) = g. What is -f(l) + 4*z(l)? -2*l - 243 Let x(k) = -5*k**3 + 11*k - 19*k - 4*k - 2*k**2. Let b(u) = -4*u**3 - 2*u**2 - 11*u. Calculate -4*b(c) + 3*x(c). c**3 + 2*c**2 + 8*c Let z(h) = -22*h - 313. Let i(r) = 62*r + 939. Calculate -6*i(f) - 17*z(f). 2*f - 313 Let r(s) = -s**3 - s**2. Let t(i) = i**3 - 2*i**2 + 1. Let k(w) = -w**3 - 14*w**2 - 30*w - 70. Let z be k(-12). Determine z*r(n) - t(n). -3*n**3 - 1 Let c(l) = l**2 - 2*l. Let p(y) = -3*y**2 + 7*y + 17. Give 4*c(x) + p(x). x**2 - x + 17 Let i(r) = 1. Let z = -856 - -851. Let p(l) = 2*l - 2. Calculate z*i(c) - p(c). -2*c - 3 Let d(r) = 137*r**2 - 8*r - 23. Let s(y) = -106*y**2 + 6*y + 17. Let g(j) = 10*d(j) + 13*s(j). Let a(w) = 4*w**2 - w**2 - 2*w**2 + 1. What is 6*a(z) + g(z)? -2*z**2 - 2*z - 3 Let c(k) = -k**3 + k. Let q(b) = -526*b**2 + 3*b + 3*b + 526*b**2 - 2*b**3. Calculate 6*c(d) - q(d). -4*d**3 Let f(s) = -s**2 - 4*s + 8. Let m(x) be the second derivative of x**3/6 - x**2/2 + 34*x + 2. Suppose 2*v - 3 = -v. What is v*f(r) + 6*m(r)? -r**2 + 2*r + 2 Let o(n) = 4. Let t(k) = -68*k**2 + 19. Calculate -6*o(g) + t(g). -68*g**2 - 5 Let t(d) = 16*d - 28. Let i(r) = -9*r + 14. Determine -11*i(v) - 6*t(v). 3*v + 14 Let r(l) = 9 - 12 - 5 - 12 + 20*l. Suppose -2*p = d + 23, -p - 34 = -0*p - 4*d. Let h be (1 + 2)*(-5)/3. Let m(f) = -7*f + 7. Calculate h*r(x) + p*m(x). -2*x + 2 Let f(n) = 5*n**2 + 5*n - 4. Let g(r) = 14*r + 131. Let h be g(-9). Let p(b) = 6*b**2 + 6*b - 4. Calculate h*f(v) - 4*p(v). v**2 + v - 4 Let d(c) = 39*c**3 - 5*c**2 - 1. Let y(b) = -39*b**3 + 4*b**2 + 1. Give 4*d(h) + 5*y(h). -39*h**3 + 1 Let l(o) = -11*o**2 - 2*o. Let n(p) = 34*p**2 + 7*p. Let a = 1053 + -1051. Determine a*n(s) + 7*l(s). -9*s**2 Let i(s) = -11*s**2 + 7*s - 12. Let h be 6*(-13)/273 - 46/(-14). Let f(q) = 5*q**2 - 3*q + 6. Determine h*i(b) + 7*f(b). 2*b**2 + 6 Let v(h) = 9*h**2 + 2. Let j(d) = -d**2 + 1. Let q = 244 + -242. Give q*j(r) - v(r). -11*r**2 Let t(v) = 11*v + 7. Suppose -2*h + 15 = -h - 3*u, -2*u - 8 = 0. Suppose h*i + 8 = i. Let n(z) = -5*z - 3. Determine i*t(k) - 9*n(k). k - 1 Let a(x) = -3*x - 38. Let o(k) = k + 19. Determine 3*a(r) + 7*o(r). -2*r + 19 Let d(x) = 104*x + 34. Let f(l) = 26*l + 9. What is 6*d(m) - 22*f(m)? 52*m + 6 Let m(y) = -14*y**3 - 2. Let q = -592 + 583. Let r(l) = -55*l**3 - l**2 - 9. Calculate q*m(d) + 2*r(d). 16*d**3 - 2*d**2 Let o(x) = 2*x**2 + 162*x + 10. Let s(r) = -r**2 - 163*r - 8. What is 4*o(p) + 5*s(p)? 3*p**2 - 167*p Suppose -i - a = -8, -i + 5*i - 2*a = 8. Suppose i*p = 2*p + 12. Let r(q) = -3*q + p*q - 1 - 2*q + 5*q. Let t(k) = -k. Calculate -r(b) - 4*t(b). -2*b + 1 Let o(i) = 4*i**2 + 2*i + 4. Let a(l) be the first derivative of 5*l**3/3 + l**2/2 + 3*l + 178. Determine 3*a(m) - 2*o(m). 7*m**2 - m + 1 Let m(z) = -200*z + 1. Let p(l) = -67*l. What is -2*m(s) + 7*p(s)? -69*s - 2 Let w(p) be the second derivative of -p**4/8 + 7*p**2 + 17*p. Let i(q) be the first derivative of w(q). Let u(t) = -t - 1. Determine -i(b) + 2*u(b). b - 2 Let z(v) = 7*v**2 - v + 4. Let r(y) = -8*y**2 - 5. Determine 4*r(n) + 5*z(n). 3*n**2 - 5*n Let b(i) = 13*i**3 + 2*i**2 - 2*i + 2. Let m(p) = -62*p + 91 + 457*p**3 + 128*p**3 + 91*p**2 - 29*p. What is 91*b(t) - 2*m(t)? 13*t**3 Let o(b) = 293319*b + 4485. Let x(c) = 589*c + 9. Give 3*o(k) - 1495*x(k). -598*k Let l(c) = 205*c**3 - 25*c**2 - 25*c. Let r be (1/2)/((-11)/550). Let f(a) = -17*a**3 + 2*a**2 + 2*a. Give r*f(n) - 2*l(n). 15*n**3 Let a(z) = -z**2 - 7*z - 3. Let n(d) be the first derivative of -2/3*d**3 - 13/2*d**2 - 5*d + 33. Give -5*a(l) + 3*n(l). -l**2 - 4*l Let z(c) = -9*c + 3. Let d(x) = 2*x - 1. Let j(r) = 2*r - 2. Let s(a) = -4*d(a) + j(a). Calculate -7*s(v) + 5*z(v). -3*v + 1 Let n(c) = c - 4. Let o(s) = -98*s - 5. What is -2*n(p) + 2*o(p)? -198*p - 2 Let m(z) = -z**2 - z + 3. Let j(i) = -4*i**2 - i - 92. Calculate j(t) - 2*m(t). -2*t**2 + t - 98 Let k(c) = -7*c**3 + 5*c**2 + 10*c - 5. Let z(x) = -22*x**3 + 14*x**2 + 32*x - 16. Give -16*k(a) + 5*z(a). 2*a**3 - 10*a**2 Let z(w) = -3*w**3 - 5*w**2 - 5. Let h(b) be the third derivative of -b**6/60 - b**5/20 - b**3/2 + 13*b**2 - 3. Give -5*h(d) + 3*z(d). d**3 Let u(d) = 14*d**3 - 8*d**2 + 1292. Let g(j) = 9*j**3 - 5*j**2 + 861. Give -8*g(y) + 5*u(y). -2*y**3 - 428 Let r = 393 + -386. Let c(l) = l**2 + l. Let d(k) = 9*k**2 + 13*k. Let a(b) = 6*c(b) - d(b). Let z(w) = 2*w**2 + 3*w. Calculate r*z(v) + 3*a(v). 5*v**2 Let o(d) = -7*d + 6. Suppose c = -5*i - 87, 2*c - 21 = 2*i + 9. Let a(q) be the second derivative of -10*q**3/3 + 17*q**2/2 - q - 61. What is i*o(v) + 6*a(v)? -v Let n(d) = -6*d**2 + 274*d - 17. Let o(a) = a**2 - 46*a + 3. Give 6*n(y) + 34*o(y). -2*y**2 + 80*y Let h(r) = r + 1. Let p(i) = -3. Let g = -104 - -103. Determine g*p(x) - 3*h(x). -3*x Let l(v) = -v**3 - v**2 + 2*v + 5. Let a(q) = -q**3 - q**2 - q - 2. Give -2*a(d) - l(d). 3*d**3 + 3*d**2 - 1 Let p(m) = m**2 + 9*m - 27. Let x(z) = 38*z - 98*z + 58*z + 7. Calculate -2*p(g) - 9*x(g). -2*g**2 - 9 Let t(w) = -26*w - 14. Let c(b) = -10*b - 4. Determine -8*c(u) + 3*t(u). 2*u - 10 Let u = 4 - 6. Let h(c) = 3*c - 2. Let k(o) = 7*o - 3. Suppose 2*g - 3*p = -2, -51*g + 9 = -46*g - 4*p. Give g*h(b) + u*k(b). b - 4 Let s(z) = 9*z**2 - 5*z + 258. Let n(q) = -4*q**2 + 2*q - 128. Give 5*n(h) + 2*s(h). -2*h**2 - 124 Let r(h) = -2*h**2 - 3*h - 6. Let k = -222 + 218. Let v(n) = 2*n**2 + 2*n + 5. What is k*r(m) - 5*v(m)? -2*m**2 + 2*m - 1 Suppose 0 = -2*y - 3*y - 420. Let w = -89 - y. Let d(o) = o**3 - 5*o**2 - 5*o - 2. Let a(u) = -u**2 - u. Give w*a(s) + d(s). s**3 - 2 Let y(u) = 5*u**2 - 4. Let q(n) = -n**3 - 6*n**2 + 4*n - 9. Let g be q(-7). Let i = g + -7. Let s(m) = -i*m**2 + 4*m**2 + 5 - 5*m**2. Give -4*s(b) - 5*y(b). -b**2 Suppose 0 = 3*j + 9 + 12. Let x(k) = -6*k**2 + 11*k - 4*k + 279 - 295. Let l(n) = 2*n**2 - 2*n + 5. Determine j*l(c) - 2*x(c). -2*c**2 - 3 Let q(r) = r**3 + 4*r**2 - r. Let s be 0/(4/(-2) - 0). Let c(d) = -3*d - 3. Let y be c(-2). Let b(l) = 3 - y + l**2 + s. Give 5*b(f) - q(f). -f**3 + f**2 + f Let w(k) = 2*k**2 + 2*k. Suppose 2*d - 42 = -0*d. Let i be 6/(-21) - (-48)/d. Let b(o) = 5*o**i - 3*o**2 - 7*o**2 - o**3 - 5*o. Calculate 2*b(v) + 5*w(v). -2*v**3 Let m(w) = 9*w**2 - w - 1393 - 1401 + 2793. Let r(l) = 5*l**2 - 1. Calculate 3*m(d) - 5*r(d). 2*d**2 - 3*d + 2 Let r(l) = -122*l**3 + 8*l**2 - 2*l - 1. Let n(v) = 121*v**3 - 10*v**2 + 3*v + 1. What is 4*n(m) + 5*r(m)? -126*m**3 + 2*m - 1 Let a(u) = -22*u. Let q(k) = -k - 13*k - 19*k. What is 7*a(g) - 5*q(g)? 11*g Let t(n) = n**2 + 2*n - 2. Let o(u) = u**2 - 1. What is 3*o(w) - t(w)? 2*w**2 - 2*w - 1 Let j(m) = 2*m - 2 - 4 + 2*m - 2. Let b = -33 - -20. Let g be (b - -1)*((-2)/(-4) + 0). Let n(d) = -7*d + 15. Calculate g*n(v) - 11*j(v). -2*v - 2 Let j(u) = u**2 - 19*u - 155. Let y be j(-6). Let k(l) = 7*l**2 - 7*l. Let m(r) = -11*r**2 + 10*r. Give y*m(a) - 7*k(a). 6*a**2 - a Let b(q) = 14*q - 20. Let v(y) = 5*y - 9. Let f(n) = -2 - 2 + 1 + 2. Let c(k) = 2*f(k) - v(k). Give -6*b(p) - 17*c(p). p + 1 Let c(d) be the second derivative of 7*d + 5*d**2 + 0 + 13/6*d**3. Let n(q) = -4*q - 3. What is -2*c(z) - 7*n(z)? 2*z + 1 Let c(t) = -9646*t**3 + 91*t**2 - 91*t + 91. Let l(z) = 643*z**3 - 6*z**2 + 6*z - 6. Give 6*c(s) + 91*l(s). 637*s**3 Let a be 3 + -12 - (-112)/(-14). Let p(l) be the first derivative of 20*l**3/3 + 17*l**2/2 - 26*l - 3. Let k(z) = 7*z**2 + 6*z - 9. Give a*k(c) + 6*p(c). c**2 - 3 Let j(i) = -i**2 - 6. Let r(k) be the second derivative of 0*k**3 + 0 + 17/2*k**2 - 7*k + 1/4*k**4. Calculate 17*j(q) + 6*r(q). q**2 Let o(g) = -22*g - 1. Let u(r) = -24*r - 5. Calculate 3*o(f) - 2*u(f). -18*f + 7 Let q(v) = -130 + 2*v - 3*v - 123 - 129 + 384. Let k(b) = 2*b - 3. Let p be k(2). Suppose -5*u = -4*u + p. Let i(j) = j**2. Give u*i(d) + q(d). -d**2 - d + 2 Let h(a) = -135*a**2 - 55*a - 55. Let t(s) = -5*s**2 - 2*s - 2. Suppose 8*n = 890 - 874. Determine n*h(c) - 55*t(c). 5*c**2 Let g(x) = -9*x**2 + 4*x - 4. Let l be 3 - -7 - (-112)/(-7). Let n(w) = 8*w**2 - 4*w + 3. Calculate l*n(d) - 5*g(d). -3*d**2 + 4*d + 2 Suppose 4*w - 8*w = 24. Let n(a) = 3*a**2 - 6. Let x(l) = 6*l**2 - 11. Suppose -11*p - 44 = -15*p. Give p*n(v) + w*x(v). -3*v**2 Let z(g) = 10*g**3 + 2*g**2 + 4*g + 3. Let j(u) = -31*u**3 - 5*u**2 - 10*
{ "pile_set_name": "DM Mathematics" }
he value of 17 + 5 + -6 - 9? 7 What is -1 - (1 - (2 - (6 - 7)))? 1 What is the value of 49 + -42 - (1 - 2)? 8 What is (1 - (-3 + -1)) + -5? 0 Evaluate 5 - (-3 - (-4 - -6)). 10 What is the value of 5 - (11 + 1 - 3)? -4 Evaluate 3 + (6 - (5 - -3)). 1 3 + 0 - (14 + (-17 - -9)) -3 What is the value of (15 - 10) + (0 - 2) + -5? -2 Evaluate -11 + 24 + -3 + -3. 7 What is the value of 9 + 9 + -18 + -3 + 1? -2 What is the value of (-19 - -13) + (-1 - -6) + -5? -6 What is the value of (11 - 2) + -1 + -3? 5 What is -4 + (11 + -26 - -12)? -7 What is the value of 2 + (-1 - (-1 + -1))? 3 Evaluate 3 + -1 - (10 - -2 - 0). -10 Calculate -2 + -6 - -9 - -3. 4 -5 + 3 + -2 + -1 -5 (0 - 0) + -6 + (100 - 95) -1 What is the value of -9 - -4 - (5 - 8)? -2 What is 2 - ((0 - (-4 - -8)) + 5)? 1 Calculate 3 + (0 - (2 - 3)) + -12. -8 (0 - (3 - 7)) + (-3 - -4) 5 Calculate 10 + 4 + -11 + 1 + -5. -1 Evaluate -2 + 6 - (-3 + 3 + 4). 0 Evaluate -4 - -2 - (-3 + 2). -1 Calculate (-1 - -11) + -9 - (-4 + 2). 3 (-3 - ((-7 - 4) + 1)) + -3 4 14 - 11 - (1 - (-8 + 1)) -5 Calculate (8 - 7) + 4 - -1. 6 What is the value of 5 + 1 + (17 - 25)? -2 What is the value of 8 + 3 + (-8 - 1) + 4? 6 2 - -4 - 4 - (3 + 0) -1 What is (-12 + 4 - -9) + -1? 0 Calculate -7 + (-10 - -10) + 9. 2 Calculate (1 - -3) + -1 + -8 + 12. 7 Calculate -5 + (-2 + 0 - -4). -3 What is 11 - (12 - 12) - 5? 6 Calculate -2 + 4 + 3 + 0 + -3. 2 What is the value of (10 - 10 - -15) + -9? 6 Evaluate -10 - (-6 - (7 - 4)). -1 What is (-6 - -2) + 2 + 6? 4 Calculate (-14 - -11 - (-4 + 1)) + 4. 4 What is -4 + -1 + -5 - -9? -1 -4 + (2 + 0 - -3) + -3 -2 What is -14 - -4 - (-4 + 0 - -1)? -7 Calculate 1 + 11 + -22 - -15. 5 Calculate 1 + -3 + (-13 - (0 + -9)). -6 Calculate -2 - (-2 - (-1 + 0)) - 1. -2 Evaluate 2 + 3 + (0 - (5 - 1)). 1 Calculate -3 + 3 + -4 + 3 + -1. -2 What is 0 + 3 + -2 + 3? 4 Evaluate -8 + (6 - 1) + -2 + 6. 1 -7 - (-3 - ((0 - 4) + 7)) -1 -4 - -9 - (-6 + 8) 3 What is (-7 - -3) + 8 - -1? 5 What is the value of (2 - 6) + (1 - 1) - 0? -4 Evaluate 1 + 3 + 15 + -13. 6 What is the value of (-2 - -4) + 1 - (5 - 1)? -1 What is (-11 - -1) + 0 + 14? 4 What is -3 - (-2 + (-1 - -3))? -3 Evaluate -14 - -19 - (-3 + (3 - -1)). 4 What is 1 + 4 + -9 - -1? -3 What is the value of (7 - (-2 - -7)) + (-1 - 2)? -1 What is -10 - (0 - 1) - (-2 - 2)? -5 Calculate -7 + -2 + (13 - 7). -3 Calculate -9 - (-11 + 21 + -23). 4 What is (4 + -3 + -1 - 1) + 0? -1 Evaluate -7 + 3 + (4 - 1). -1 Evaluate -10 + (-7 + -1 - -18). 0 What is the value of 0 - (5 + -3 + -2)? 0 What is the value of -4 + (-4 + (1 - -3) - -1)? -3 Calculate (18 + -12 - (0 + 4)) + -6. -4 0 - (3 - 1 - (1 + 7)) 6 1 - ((4 - 7) + 5) -1 Calculate 1 + 8 + 2 - 7. 4 Evaluate -11 - (-13 + 4) - -11. 9 Evaluate -1 + 7 - (3 + -5). 8 Evaluate -2 + 5 + -11 + 8. 0 What is the value of 9 + -8 - (6 - (1 + 0))? -4 (1 - 6) + -17 + 18 + 11 7 What is (-2 + -4 - -2) + 9? 5 Calculate -10 + 7 - (-10 + (0 - -2)). 5 5 + 2 + -8 + 0 -1 Calculate (-2 - 5) + 3 + 2 - -1. -1 What is -2 + 7 + -10 + 5? 0 Calculate (-16 - -15) + 4 + 1. 4 Calculate 1 + 2 + -6 + -2 - 2. -7 What is 2 + -1 - (0 + -2)? 3 Evaluate (-4 - -5) + 2 - (4 - 1). 0 Calculate (-6 - 14) + 27 + -2 + 1. 6 What is -5 + 4 + 0 + 2 + -2? -1 Calculate -2 + -2 + 6 + -2. 0 Calculate 5 + (4 + -3 - 5) + -4. -3 What is -23 + 19 - (-6 - -3)? -1 Calculate -3 + -1 - (6 + -6). -4 What is -4 + 17 + 1 + -7? 7 Evaluate 2 + 2 + 1 + (3 - 3). 5 Evaluate -2 + 7 + 3 + -10. -2 Calculate 6 - 0 - (9 - 0). -3 Evaluate 58 + -56 - (-1 + 7). -4 What is -1 - (0 - (-1 - -6))? 4 What is the value of (2 - 12) + -1 + 7? -4 What is the value of 10 + -15 + (0 - -4) - -6? 5 Evaluate -1 + -6 + (3 - (-3 + 3)). -4 Calculate 0 - (4 - (-7 + 15)). 4 What is the value of (-1 - -5) + -7 + 5 + -1? 1 2 - (-2 + 2 + -1) - -1 4 Calculate 1 + 1 - ((9 - 0) + -6). -1 -4 - (3 + -7 + -1) 1 Calculate 1 + -5 + 0 + 19 + -18. -3 What is (-5 - -3) + -3 + -2 + 5? -2 Calculate -2 - (8 + 2 + -11). -1 Evaluate 1 - (0 + -1 + -3). 5 What is 8 + (4 - 2) + 7 + -13? 4 -4 + (0 - ((-1 - -4) + -5)) -2 (1 - -5) + 2 + 0 + -4 4 Calculate -14 - (-9 - (11 - 7)). -1 Calculate 13 + 2 + -2 + -10. 3 What is (-3 - 0) + (2 - -2)? 1 8 - (7 - (-10 + 10)) 1 What is the value of 1 + (-2 + -2 - -1 - -7)? 5 -9 - (-4 + -3 + 3) -5 What is the value of (5 - 6) + 6 + 2 + -5? 2 Evaluate -1 + 18 - (2 - -3) - 1. 11 Evaluate 3 - (1 - (4 + (6 - 6))). 6 Calculate 0 + -3 + (-1 - -2). -2 What is the value of -4 + (-1 + 0 - -2) - 0? -3 Calculate (9 + -1 - (-10 - -15)) + -7. -4 Calculate -5 - (0 - (-5 + 5)). -5 What is the value of -10 + 10 - (3 + 1 + -3)? -1 What is (0 - 4) + (-9 - -5) + 5? -3 5 - (7 - (-3 + 5)) 0 Evaluate 9 - (-4 + 18) - (-11 - -1). 5 Evaluate 0 + (-4 - (3 + -4)). -3 Calculate -1 + 12 + (-6 + 4 - 1). 8 -1 - 4 - (4 + -2 + -2) -5 -11 + (-6 - -4) + 6 + -2 -9 Evaluate -9 + 16 + -4 + 1 + -10. -6 What is 0 + 6 - ((5 - 10) + 7)? 4 Evaluate (-14 - (10 + -24)) + -6. -6 What is the value of 2 - 3 - -4 - 1? 2 -39 + 41 + (1 - (2 - -2)) -1 Calculate -1 + -2 + (6 - (-6 - -7)). 2 What is the value of -4 - ((-1 - -2) + 0)? -5 Evaluate -4 + 4 + 14 + -10. 4 Evaluate (-1 + 10 - 5) + -1. 3 What is (-3 - -8) + -1 + -2? 2 Calculate 1 - (-2 - (-5 - 1)). -3 What is the value of (3 - -1) + -11 - -9? 2 (3 - 6 - -6) + 4 7 3 + 2 + 0 - (-4 + 4) 5 What is 3 - (3 - (5 - 2) - 2)? 5 (0 - (-12 - 7)) + -12 7 Calculate 1 + 0 - (-4 - -7 - 4). 2 What is the value of 10 + 2 + (-40 - -30)? 2 0 - (18 - (16 + -2)) -4 5 + -3 + (6 - (-2 + 5)) 5 Evaluate 3 + 2 - (34 - 31). 2 -1 - ((10 - 9) + (0 - 1)) -1 Evaluate (6 - (-5 - -4)) + -2. 5 What is 0 + (-1 - (1 + 3))? -5 Evaluate -4 + 4 + 5 + -6. -1 Calculate 2 + -2 + (-15 - -19). 4 What is 2 - (8 + (-8 - -6))? -4 What is (-1 - 0) + (4 - -1)? 4 4 - (-2 - -8) - -10 8 -49 + 49 - (1 + 1) -2 What is the value of (-1 - (-4 + (2 - 2))) + 0? 3 Evaluate (-6 - -6) + 4 - (0 + 1). 3 Evaluate 0 + (2 + 1 - (4 - 2)). 1 What is 1 + -7 + -1 + 4? -3 Calculate -2 + -2 + 9 + -1 + -5. -1 What is (9 - 6) + -1 + 0 - 3? -1 What is 6 - (15 + -5 + -1)? -3 0 + -7 + (-1 - -5) -3 Evaluate 0 + -6 + (5 - (-4 + 9)). -6 -3 - (1 + 0 - 8) 4 Evaluate 11 - (-5 + -2 + 2 + 11). 5 What is the value of 2 + 12 + 0 + -9? 5 What is (11 - 6 - 7 - -10) + -2? 6 What is 2 - (-3 + 2) - (1 - 4)? 6 Calculate 6 + -6 + (3 - 2) + 0. 1 Calculate 2 + (6 - 9) + 3. 2 What is the value of (-5 - (2 + -2) - -2) + -2? -5 What is 4 + (-16 + 4 - -4)? -4 What is the value of -3 + 1 - (-18 + 13)? 3 -8 - ((-4 - 5) + 2) -1 (3 - (-3 - -5)) + 6 7 -1 + 3 - (21 - (-4 - -18)) -5 What is the value of 10 + (-17 + 13 - 10)? -4 What is the value of -23 - -24 - (3 - 9)? 7 Calculate -8 + 1 + (-5 - (0 - 9)). -3 Calculate 0 - 0 - (2 + -4 + 3). -1 Calculate 9 + (-6 + 1 - 6). -2 Evaluate -4 + (-6 - (-5 - 1)). -4 What is 1 - (5 - (-1 + 6))? 1 4 + -3 + -7 - -12 6 Calculate (2 - 10) + 1 + 2. -5 What is the value of 2 + -1 - (-5 - (-6 + 0))? 0 Calculate 6 + -1 + -3 + -5 + 2. -1 What is the value of (-2 + -2 - -2) + -2? -4 Evaluate -8 + 7 + 1 + 5. 5 Calculate 2 + 4 + (-6 - (-2 + 4)). -2 What is the value of -6 + (0 - (-8 - 2))? 4 What is the value of -4 - -1 - (182 + -177)? -8 What is the value of 45 + -46 - (-5 + 0)? 4 What is the value of -7 + (24 - (-1 - (-5 - 2)))? 11 Calculate -3 - -4 - (-3 + -3 + 5). 2 What is 3 + (5 - 12 - -1) + 14? 11 -3 - (0 - (-1 - 0)) -4 What is the value of 0 + -4 + 1 - 5? -8 Calculate 7 - (-7 - (-6 - (7 - -4))). -3 Calculate 1 - (14 + -14) - (4 + 1). -4 What is the value of -2 + -5 - (-10 + 1 + -7)? 9 Evaluate -1 + -3 + (-2 - (-9 + 7)). -4 Calculate (1 - -5 - 9) + 4. 1 Calculate (-7 - 10) + -17 + 24. -10 What is 3 + -1 + -2 - (2 - -3)? -5 Calculate 2 + 4 - (25 + -21). 2 1 + -3 + (7 - (3 + -1)) 3 What is the value of 0 - 6 - (0 + (2 - 4))? -4 Calculate (-2 + 3 - 4) + (6 - 8). -5 Calculate -31 + 26 + (6 - (1 + 1)). -1 Evaluate (0 - -4) + (-18 - -17). 3 What is 101 - 94 - (0 + -1)? 8 What is 8 + (0 + 6 - 10)? 4 Evaluate (-1 - 5) + -4 + (6 - 1). -5 Calculate 11 - (-1 - (-4 - 2)). 6 What is 15 + -11 - (3 - 1)? 2 What is -3 + (-4 - -6 - -6) - 4? 1 Evaluate -23 + 19 + (0 - -2 - 1). -3 Evaluate -6 + -25 + 18 + (4 - -2). -7 0 + 1 + -2 + 1 + -2 -2 Evaluate 4 + (-13 - 0 - -4) + 1. -4 1 + 3 + -2 + 0 + 1 3 Calculate 7 + -18 - (-5 - -1). -7 What is -1 - -10 - 7 - (3 + -8)? 7 (3 - 1) + (3 - (-1 - -7)) -
{ "pile_set_name": "DM Mathematics" }
439471 -5*-1372020 6860100 What is 2 times -149265? -298530 Multiply 191 and -0.41964. -80.15124 What is 21 times -95282? -2000922 545 * -23417 -12762265 What is -1.6599 times -47619? 79042.7781 Product of -1446 and 2.48183. -3588.72618 What is -2252 times -0.057089? 128.564428 What is the product of 52 and 75941? 3948932 Product of -40.34 and -111.92. 4514.8528 -1.48 times -845930 1251976.4 Work out -118.32324 * 0.2. -23.664648 Calculate 12987*-0.06671. -866.36277 What is 398 times -4205.84? -1673924.32 What is the product of 186.471 and -0.017? -3.170007 What is -0.5 times 3291919? -1645959.5 7.1 times -14.7581 -104.78251 -218.0887 times -31 6760.7497 Multiply -0.0830067 and -18.3. 1.51902261 Multiply -43024878 and -0.02. 860497.56 What is 752 times 8579? 6451408 What is -313 times -870007? 272312191 2 * 6.756499 13.512998 -0.025 * -1278.6174 31.965435 What is the product of -3 and 81106597? -243319791 Multiply -691 and 1.93. -1333.63 What is 58.4 times 1.5309? 89.40456 Calculate -4.08*-462.714. 1887.87312 What is -2 times -16740.72? 33481.44 Calculate -47*254.38. -11955.86 1.81 * -2220 -4018.2 What is the product of 83850686 and 0.08? 6708054.88 Multiply 0.121 and 11310. 1368.51 Multiply 0.03 and -11597.945. -347.93835 Product of -109 and -35196. 3836364 Product of 0.3 and 11136871. 3341061.3 Multiply 21348992 and 0.5. 10674496 Calculate -1.54*289326. -445562.04 Work out 30410675 * 0.04. 1216427 -0.01 times -3.439383 0.03439383 What is -718286070 times 0.2? -143657214 Product of 0.3 and -2842807. -852842.1 Work out -99661 * -0.155. 15447.455 4.49244*30.2 135.671688 Multiply 0.090987 and -1589. -144.578343 Work out 5 * -0.00557537. -0.02787685 What is -0.6177438 times 18? -11.1193884 -59205 * 214 -12669870 What is the product of 2073 and 3152? 6534096 What is the product of 1.26 and -282372? -355788.72 Work out -1480771 * -0.021. 31096.191 145429642 times 0.2 29085928.4 What is 852371 times 8? 6818968 What is -17810186 times -0.5? 8905093 What is the product of 1.8 and -163050? -293490 What is 3954119 times 112? 442861328 What is -3104.624 times 68? -211114.432 Calculate -77.93*0.676. -52.68068 Work out 7 * 3984435. 27891045 0.01 times 155116177 1551161.77 49*-117.2033 -5742.9617 51 * -83.4331 -4255.0881 Calculate -79*10.05219. -794.12301 Calculate 10506.1*3.11. 32673.971 What is 58 times -0.547621? -31.762018 Product of 126730 and 21. 2661330 What is -7954.3796 times -1? 7954.3796 What is the product of 1012 and 0.115479? 116.864748 What is the product of -0.0348 and -23.263? 0.8095524 -39 * -4148.97 161809.83 Work out -1176059 * -2.4. 2822541.6 What is -164330.29 times 0? 0 What is -20.66 times -3.17? 65.4922 Calculate -194.99*42.4. -8267.576 Calculate -15*-19355716. 290335740 Calculate -37.33*-391.89. 14629.2537 Work out 5.6 * 2398811. 13433341.6 What is the product of 48.239 and -0.068? -3.280252 -23749 * 1846 -43840654 -0.6189 times -34.3 21.22827 What is the product of 0.1978 and -27.32? -5.403896 Multiply -4134090 and -0.3. 1240227 Work out 9.8 * -33425. -327565 Work out -155 * 49642. -7694510 -7398 * 638 -4719924 Work out -88 * 114454. -10071952 3108394*-11 -34192334 -41351 times -1495 61819745 Product of 0.045 and -43.27. -1.94715 Work out -1.817 * -22.307. 40.531819 16002 times 658 10529316 Calculate 93161*6604. 615235244 Multiply -0.6257 and 746.17. -466.878569 0.390968 * 19 7.428392 What is the product of -564522 and 1.9? -1072591.8 Product of 181272 and 212. 38429664 Work out 132.6 * 2750. 364650 -2 times 6774768 -13549536 Multiply 127555514 and -5. -637777570 Calculate -1354*5.0312. -6812.2448 -23*4438332 -102081636 What is the product of 29927 and 95? 2843065 Work out 2.8545 * -0.2. -0.5709 What is 1270591 times 15? 19058865 Multiply -68 and -8764. 595952 Multiply 3.5022 and -2.2. -7.70484 4093.38*11 45027.18 0.1*17788776 1778877.6 14660 times 10.593 155293.38 Work out -28 * -0.190751. 5.341028 Work out -13.54 * -173.67. 2351.4918 What is the product of -0.0702089 and -0.24? 0.016850136 Multiply -0.2 and 4499651. -899930.2 What is the product of 4 and 2154654? 8618616 What is 0.22589884 times 0.4? 0.090359536 133*-2423067 -322267911 -8859.1239 * -4 35436.4956 What is 2.4 times -304.77? -731.448 Multiply 0.3 and 245593. 73677.9 -39902 times -38.9 1552187.8 What is 2 times 12803085? 25606170 Work out 3021 * 2539. 7670319 What is -2.1 times -0.0337327? 0.07083867 -0.18 times -184.266 33.16788 -3 times -155324082 465972246 -27*-14619 394713 168 * -0.13937 -23.41416 What is 595 times -0.716971? -426.597745 What is the product of -6563.62 and -0.083? 544.78046 0.00559*27208 152.09272 Calculate 25.5*5.14. 131.07 -1*1380.933 -1380.933 What is the product of 7.15193 and -6? -42.91158 -385503.6 * -1 385503.6 What is the product of -20.47 and -0.1225? 2.507575 What is -0.03 times -1522374? 45671.22 Calculate 39145*0.02894. 1132.8563 Work out 300.5101 * -2. -601.0202 -2861*68 -194548 Work out -370 * 268969. -99518530 0.4*3936.755 1574.702 3300.9 times -14 -46212.6 Work out -1931613 * -10.9. 21054581.7 412892 * 7 2890244 -0.35 times 3824814 -1338684.9 Work out -5 * -10191153. 50955765 Product of -1312293.4 and -15. 19684401 -1055924 times 25 -26398100 1.0078 times 15.68 15.802304 Calculate 79035757*0.4. 31614302.8 0.1 * 24841326 2484132.6 5358 times 0.134686 721.647588 -9.91 times 11520 -114163.2 182631852 times 0 0 Work out 348 * 35279. 12277092 What is 71.53 times -654.1? -46787.773 -0.04*-31.0569 1.242276 What is the product of -910236 and 6? -5461416 Work out -182878 * -153. 27980334 4 times 1.18029313 4.72117252 Calculate -15803902*10. -158039020 -4 times -28588873 114355492 What is 0.2 times 777191? 155438.2 What is the product of 57.72 and -1104? -63722.88 Multiply -2148940 and 1.4. -3008516 What is the product of 11 and 24588003? 270468033 What is the product of -0.799 and 22386? -17886.414 -135.834594*0.5 -67.917297 Work out -250601208 * -6. 1503607248 What is 10435 times -311? -3245285 What is the product of -12326003 and -0.1? 1232600.3 Product of -0.5 and 691310. -345655 What is the product of 786 and -1284436? -1009566696 What is 80688.58 times 0.1? 8068.858 452.40202*-3 -1357.20606 -13329.2275 times 5 -66646.1375 13606 * -79 -1074874 Calculate -7216*-61.26. 442052.16 Calculate -0.505*-2.524. 1.27462 Product of 646.5 and 0.1418. 91.6737 Calculate -15570.6*29. -451547.4 Work out -1838 * -25876. 47560088 -87.5*377.6 -33040 What is the product of -1804099 and 8.4? -15154431.6 Product of 1308115 and 5.4. 7063821 Work out -0.1 * 2034081. -203408.1 28 * 998080 27946240 -5.97 times -0.1391297 0.830604309 Product of 8.9653148 and -0.2. -1.79306296 Calculate 0.26614979*-0.3. -0.079844937 What is 0.5804 times -18168? -10544.7072 -0.11*87.38 -9.6118 Work out -8583341 * 16. -137333456 Calculate -0.46*-37.65. 17.319 4650471.71*2 9300943.42 -10 * -714610 7146100 What is -0.2 times 8498590.9? -1699718.18 -19 times -6.63108 125.99052 -0.05 times 45676 -2283.8 1.7 * -26932161 -45784673.7 160841433*-4 -643365732 -4*-136337484 545349936 What is 168 times 0.060675? 10.1934 -24 times -1596823 38323752 Calculate -0.07*0.0997974. -0.006985818 Multiply -1.9 and 813888. -1546387.2 Work out -594 * -0.22879. 135.90126 What is the product of -13802 and -16896? 233198592 -169519937 times -1 169519937 0.2527 times -3381.2 -854.42924 What is the product of -586668 and -517? 303307356 What is the product of 218953 and -0.155? -33937.715 What is -0.03 times -232546.24? 6976.3872 Multiply -253.945 and 3.85. -977.68825 -0.053361 times 4.18 -0.22304898 Product of -0.006 and -0.095459. 0.000572754 Calculate 4.762*932. 4438.184 Product of 534040630 and -0.1. -53404063 What is 29 times -5614964? -162833956 2*-141.153975 -282.30795 Calculate 26*8.818511. 229.281286 Product of -5631167 and 10. -56311670 Multiply 0.2 and 24.128675. 4.825735 -164584*1.1 -181042.4 Product of 595.4 and -19.196. -11429.2984 Multiply 1769 and -68984. -122032696 Work out 30045 * -1779.9. -53477095.5 What is the product of -1.0075638 and 6? -6.0453828 Calculate -4*-23.0105711. 92.0422844 0.5 * 882.156 441.078 Product of 5 and 1759.279. 8796.395 9952199 times -3 -29856597 0.05588 times 3269 182.67172 Product of -90324 and -75. 6774300 Multiply -1713820 and 0.03. -51414.6 Product of 13630
{ "pile_set_name": "DM Mathematics" }
hat is the units digit of 2/(-6) + 892096/192? 6 Let i = -10674 - -14941. What is the tens digit of i? 6 Suppose 24 = 5*v + 4*m, 12 = -3*v + 5*v + 4*m. Suppose -v = -11*b + 9*b. Suppose -4*g - 2*f = -22, -5*f = -g - b*g - 3. What is the units digit of g? 4 Let z = 2799 + 3983. What is the hundreds digit of z? 7 Suppose -7*n = -9*n - c + 7920, 0 = -2*c - 12. What is the hundreds digit of n? 9 Suppose -3*m - 5*w + 7443 = 0, 0 = 3*m - 4*w + 670 - 8059. What is the thousands digit of m? 2 Let u(v) = -208*v - 32. Let d be u(-17). Suppose n + 5*m - 853 = 0, -5*n + n + 3*m = -d. Let a = n + -613. What is the hundreds digit of a? 2 Let v = 221 + -246. Let w = v - -408. What is the hundreds digit of w? 3 What is the tens digit of (-4029)/(-6) + (6 - 98/28)? 7 Suppose 0 = -4*o - 5*q - 2167, o + 8*q - 6*q + 541 = 0. Let w = 747 + o. What is the hundreds digit of w? 2 Let z(w) = 64*w**2 - 268*w + 5. What is the tens digit of z(-9)? 0 Suppose -p = p - 2. Let a = 10 + p. Suppose 294 = -8*u + a*u. What is the units digit of u? 8 Let i(g) = -g**3 + 16*g**2 + 17*g - 27. Let q(b) = 4*b**2 + 3*b - 12. Let d be q(-3). What is the hundreds digit of i(d)? 4 Let n(v) = v**3 + 23*v**2 - v + 62. Suppose 2*l - t + 41 = 0, 0 = 5*t - 3 - 22. What is the hundreds digit of n(l)? 7 Suppose -26*g + 27*g - 19851 = 4*m, -g - 3*m = -19844. What is the thousands digit of g? 9 Suppose -2*r + 82*b + 15666 = 80*b, 4*r - 3*b - 31333 = 0. What is the tens digit of r? 3 Let i = 190 + -65. Let s = 72 - i. Let d = 141 - s. What is the units digit of d? 4 Suppose -112*w + 89*w + 17181 = 0. Let v = -11 + w. What is the units digit of v? 6 Let b = -158 - -163. Let x(a) = 19*a**2 + a. Let o be x(4). Suppose 5*j - o = -4*t, -b*j + 2*j - 60 = -t. What is the units digit of t? 2 Suppose -2*x + 4*j + 12 = 2*x, 9 = -3*j. Suppose 0*f - 3*f - 1770 = x. What is the tens digit of (-11)/(-44) - f/8? 7 Suppose 2*g = m + 3*g - 262, 5*m - 3*g = 1318. Let j = m + 43. What is the tens digit of j? 0 Let g be 345 + -4 + (-4 - -2 - -5). What is the tens digit of (g/5)/((-366)/(-45) - 8)? 1 Suppose 66*o = 322526 + 164620. What is the hundreds digit of o? 3 Suppose 87*c = 82*c - 4*d + 34989, d - 28000 = -4*c. What is the thousands digit of c? 7 Let u(v) = 2*v**3 + 2*v**2 + v + 24. Let i be u(0). What is the units digit of 32/i*-6 + 521? 3 Let i = -38 + 83. Let f = -41 + i. Suppose 2*n = 2*j + 84, 96 = -2*n + 4*n + f*j. What is the units digit of n? 4 Let q be 27545/30 + 2/(-12). Suppose 2*p + 4 - q = 0. What is the hundreds digit of p? 4 Let v(g) = -3*g**3 - 8*g**2 - 19*g - 64. Let z be v(-10). What is the tens digit of 1/4 + z/40*5? 9 Let n = 486 + -488. What is the hundreds digit of (1293 - 1) + 4 + (-2)/n? 2 Let w(h) = 595*h**2 - 4*h - 9. Let l be w(-2). Suppose l = 9*p + 4*p. What is the units digit of p? 3 Suppose 0*b = 7*b + 595. Let r = -254 - b. Let v = r + 236. What is the tens digit of v? 6 Let n be (7 - 0 - (-28)/(-7)) + 340. Let r be (-348)/(-16)*16/(-2). Let z = r + n. What is the hundreds digit of z? 1 Suppose 0 = 5*x - 3*d - 154 + 1, -4*d = x - 49. Suppose 30*s + 261 = x*s. Let u = 27 + s. What is the hundreds digit of u? 1 Let j(y) = -53*y + 383 - 194 - 202. What is the hundreds digit of j(-4)? 1 Let j = -59 - -179. What is the tens digit of -6*1385/(-2)*24/j? 3 Suppose -11*a = -3*a + 48. Let i be 197 - 3/a*4. Suppose 25*m - i = 24*m. What is the tens digit of m? 9 Let g(u) = -u**2 - 28*u - 26. Suppose -4*y + 27 + 7 = -2*q, -2*q - 14 = y. What is the units digit of g(q)? 5 Suppose 66*b = 234255 + 44971 + 484328. What is the ten thousands digit of b? 1 Suppose -2*d - 1643 + 5411 = -5*l, -4*l - 3020 = 4*d. What is the hundreds digit of (l/26)/(0 + (-1)/5)? 1 Let y = 53 + -41. Let b(u) = -u**3 + 5*u**2 - 15*u + 6. Let z be b(y). What is the tens digit of (-2)/6 - z/9? 3 Let c be 4386/30 - (-1)/(-5). Let l(k) = -2*k**3 + 2*k**2 + 6*k + 5. Let g be l(-3). Let u = c - g. What is the tens digit of u? 8 Let r = -25 + 27. Let v(g) = -8*g - 6*g + 8*g - r. What is the tens digit of v(-5)? 2 Let a = 30 + -23. Let w be a*(-1)/(-21)*6. Suppose 0 = 5*n - 4*o - 439, 5*n + w*o + o - 467 = 0. What is the units digit of n? 1 Let t = 2 + 1. Suppose 4*s - 2*g - 13 - 5 = 0, -t*g = 2*s - 5. Suppose -s*v + 231 = 3*v. What is the tens digit of v? 3 Let p(s) = 67 - 133 + 67. Let q(r) = -15*r - 10. Let b(y) = 6*p(y) + q(y). What is the units digit of b(-6)? 6 Let x(c) = c**2 - 4*c - 27. Let g be x(-4). Suppose -2*q - g*w + 222 + 905 = 0, -2*q + 1151 = -3*w. What is the hundreds digit of q? 5 Suppose 731227 + 7751975 = -11*w + 284*w. What is the tens digit of w? 7 Suppose 4*q = 3*b + 16, 0*q - 17 = 5*b + 3*q. What is the units digit of 396 + 2 + (-16)/b? 2 Suppose 29*r = 34*r - 190. Let c = -23 + r. What is the tens digit of 1062/c - (-9)/45? 7 Suppose 2*y + v = 16905, 3886 = -4*y + v + 37675. What is the thousands digit of y? 8 Suppose 3*s = 21 - 3. Let g be (-3)/9 + 74/s. Suppose -14 = 10*t - g*t. What is the units digit of t? 7 Suppose 0 = -8*v + 72 + 56. Let g = 152 - v. Let t = -45 + g. What is the units digit of t? 1 Suppose -t - 32 + 103 = 0. Let m = t - 68. Suppose -r + 122 = -m*f + 5*f, f = -3*r + 381. What is the hundreds digit of r? 1 Let f(l) = -15469*l - 16. What is the tens digit of f(-2)? 2 Let z be (23/(-2))/((48/8)/(-996)). Suppose -4*i + 5685 = z. What is the units digit of i? 4 Let x(g) be the third derivative of g**5/60 + 5*g**4/4 + 17*g**3/6 - 48*g**2 + 4*g. What is the units digit of x(21)? 8 Let l(d) = -d**2 - 7*d + 1. Let s be l(-5). Suppose 2167 = -s*m + 22*m. What is the units digit of m? 7 What is the ten thousands digit of 29/(58/(-16))*(-7581)/4? 1 Let i = 28217 - 19404. What is the tens digit of i? 1 Suppose 13*l - 11*l - 632 = 0. Suppose -l = -2*a - 56. Suppose 310 + a = 5*i. What is the units digit of i? 8 Let j = 9877 + -4594. What is the units digit of j? 3 Let a(d) be the first derivative of 17*d**2/2 - 104*d + 30. What is the units digit of a(12)? 0 Let s(z) = -z**2 - 16*z + 8. Let p be s(-11). What is the units digit of (p/6)/(7/154)? 1 Let a be 18 + (-15)/(-1)*(-6)/(-15). Suppose 12*l + a*l = 58752. What is the tens digit of l? 3 Suppose -5*g = -2*i - 15838 - 50492, -2*g = -4*i - 26548. What is the units digit of g? 4 What is the units digit of 221/((-136)/(-2064)*-15 + 1)? 6 Let m be ((-330)/(-40))/(3/(-8)). Let u = -1636 - -524. What is the hundreds digit of (u/5 + m/(-55))/(-2)? 1 Suppose -1488 = -24*p + 20*p. Suppose 3*g - p = -b - 2*g, -5*g = 2*b - 759. Suppose 5*s = 373 + b. What is the tens digit of s? 5 Let v(s) = 26*s**3 + 3*s**2 - s - 1. Suppose 15*k - 16*k - 1 = 3*l, -5*k + 5 = 5*l. What is the tens digit of v(k)? 1 Let k(s) = -s**3 - 4*s**2 + s - 17. Let x be k(-5). Suppose -152 = x*r - 7*r. Let g = r - -30. What is the tens digit of g? 6 Let s = -84 - -96. Let o = -12 + s. Suppose 3*c - v - 134 = o, -c - 18 = 3*v - 56. What is the units digit of c? 4 Let i(g) = g - 11. Let x be i(11). Let u = x + 0. Suppose -3*a + 132 = -3*z - 51, u = 5*a + 5*z - 345. What is the units digit of a? 5 Suppose -d + 4 = 3*p - 7, 4*d = 3*p - 1. Suppose p*y + 38 = -157. Let r = 149 + y. What is the units digit of r? 4 Let d(j) = 3*j**2 - 43*j + 41. Let x be d(14). Suppose 2*t = 2, x*c - t = 26*c + 1305. What is the thousands digit of c? 1 Let n(x) = -57 - x**3 - 4594*x + 10*x**2 + 8*x**2 + 4606*x. What is the units digit of n(17)? 6 Let v(y) = -7*y**2 - 135*y + 32. What is the units digit of v(-12)? 4 Suppose 0 = -6*f + 56 - 86. What is the thousands digit of (f/10)/(2/(-5328)) - -3? 1 Let m(u) = -7939*u - 41. Let y be m(-3). Suppose -19*q + y - 710 = 0. What is the units digit of q? 4 What is the tens digit of (-8295)/(-6) + (-63)/42? 8 Suppose -x + 181 = 4*o, -2*x - 4*o + 372 = -o. Let u = x + -108. What is the units digit of u? 1 Suppose 146*o - 2067025 = -274875. What is the ten thousands digit of o? 1 Let z be ((-2)/4)/((-47)/282). Suppose -2*r - 2*o + 714 = 0, -z*o + 1247 + 528 = 5*r. What is the units digit of r? 2 Let u(i) = 2*i + 101. Let h be (-14)/4*(-37 - -47). What is the tens digit of u(h)? 3 Suppose 5*j + 2*i - 12 = j, i = -2. Suppose 6 = 6*o - j*o. Suppose -3*l - 11 - 4 = 0, -u = o*l - 11. What is the tens digit of u? 2 Suppose 0 = 28964*o - 28960*o - 288284. What is the hu
{ "pile_set_name": "DM Mathematics" }
(j) = j - 4*j - 4 + 3 - 8. Determine r(l). 9 Suppose -3 = -5*x - 13. Let c be 4 + 3 + -4 + -1. Let q be 8/4 + c + x. Let l(r) = 2*r**3 - r**2 - 2*r. Determine l(q). 8 Let p(q) be the first derivative of -q**3/3 - 2*q**2 + q + 25. Let f = -4 - 1. Give p(f). -4 Let k = 2480 - 2495. Let n(g) = -g**2 - 15*g - 2. Calculate n(k). -2 Let a(c) = 191 + 3*c - 2*c + c**2 + 17*c**2 - 200. Let y(l) = -9*l**2 - l + 5. Let b(d) = 3*a(d) + 5*y(d). Determine b(2). 30 Let r be (400/(-125))/(12/(-30)). Let d(z) = z**2 - 4*z + 3. What is d(r)? 35 Let b(n) = -4*n - 4. Let x(i) = 7*i**2 + 7*i - 13. Let g(q) = -11*q**2 - 11*q + 19. Let d(v) = -5*g(v) - 8*x(v). Let h be d(-3). Determine b(h). -16 Let b(s) = s**2 - 6*s - 3. Let o(z) = -z - 1. Let t = -5 + 3. Suppose 4*m + 25 = 5*f, 23*f - 5*m - 24 = 24*f. Let u(x) = f*b(x) + t*o(x). What is u(6)? 11 Let o(a) be the first derivative of 2*a - 2 - 1/2*a**2. Calculate o(-3). 5 Let g(x) be the first derivative of -x**3/3 - 3*x**2 - 7*x - 1. Let i(c) = -3*c + 4. Let l be i(3). Calculate g(l). -2 Let o(c) = 83 + 58 - 113 - 6*c + 3*c. Calculate o(12). -8 Let g(z) = -51*z + 19*z + 28*z. Give g(-7). 28 Let c(o) = -2*o - 4*o - o + 2*o - 4. Suppose 2*q = 5*u + 15, 2*u + 4*q + 3 = -3. What is c(u)? 11 Suppose 0 = 265*a - 283*a - 234. Let s(q) = 2*q**3 + 25*q**2 - 14*q - 17. What is s(a)? -4 Let i(j) be the second derivative of j**5/20 + j**4/2 + j**3 + j**2 - 3*j. Let d = 57 + -62. Give i(d). -3 Suppose 0 = c - p + 4, 4*c + 4*p + 53 - 13 = 0. Let y(i) = -i**3 - 8*i**2 - 5*i + 9. What is y(c)? -5 Let z(q) = 3*q**2 + 2*q - 6. Let m(a) = 7*a**2 + 5*a - 13. Let w(p) = -4*m(p) + 9*z(p). Give w(0). -2 Let f(u) be the third derivative of -5*u**4/24 + 5*u**3/6 + 21*u**2. What is f(2)? -5 Let r(c) be the second derivative of c**3/3 - c**2 - 2*c - 134. Give r(0). -2 Let y = -4 - -1. Let h(s) = -10*s - 11. Let k(f) = 9*f + 10. Let a = -35 - -28. Let z(p) = a*k(p) - 6*h(p). Give z(y). 5 Let m(w) = w**3 + 9*w**2 + 9*w + 12. Suppose 0 = 4*j - 13*l + 10*l + 38, 0 = 2*j + 2*l + 12. What is m(j)? 4 Suppose 0*m = 4*m - 12. Suppose -4*d = -m*d - 3. Let h(b) = 8*b**2 + d + 0 - b - 3. Give h(1). 7 Let i(w) = w**3 - 10*w**2 - 7*w - 16. Let p be 5 - (-3)/(-1) - (-18)/2. Calculate i(p). 28 Let o = 19 + -15. Suppose -46*f + 44*f + o = 0. Let s(l) = -9 + l + f - 4*l. Give s(-5). 8 Let v be (6/(-18))/(12/180). Let k(u) = u**3 + 3*u**2 - 9*u - 11. Determine k(v). -16 Let k(m) = m**3 + 6*m**2 - 6*m + 4. Let f(b) = -5*b - 2. Let u(n) = n. Let d(t) = -f(t) - 4*u(t). Let c be d(-9). Give k(c). -3 Suppose -1 = 3*z + 5. Suppose 4 = n + 2. Let w(h) = 2*h**n + 2*h + 0 + 0*h + 0. Give w(z). 4 Let r(f) = 4*f**3 - 42*f**2 + 48*f + 50. Let b(d) = 3*d**3 - 28*d**2 + 32*d + 34. Let p(j) = -7*b(j) + 5*r(j). Calculate p(-15). -3 Let h(v) = -2*v + 3. Let g be ((-60)/28)/5*-7. Suppose -3*j + 4 + 5 = -g*l, 5*j + 4*l = 51. Determine h(j). -11 Let c(s) = -4*s**2 - 24*s - 3. Let y(o) = -3*o**2 - 16*o - 2. Let g(x) = 5*c(x) - 7*y(x). Let z(q) = -q. Let m(f) = -g(f) + 2*z(f). Determine m(6). 1 Let t(k) = -k**3 + 6*k**2 - k - 3. Let q be (0/(0 - 3))/(1/1). Let g be 1 - (-5 + q - 0). What is t(g)? -9 Let a(x) = -x**3 - 5*x**2 - 3*x + 3. Suppose -64 = 7*y - 365. Let q = -26 + y. Suppose -4*k - 8 = 0, -l - q = 4*l + k. Give a(l). -6 Suppose 0 = 2*r + 2, 0 = -5*i + 5*r - 18 - 2. Let b(f) be the second derivative of -f**4/12 - f**3/6 + 7*f**2/2 + 4*f. Give b(i). -13 Suppose 2 - 7 = -b. Suppose -d + 1 = i - 4, -5 = -d - 2*i. Let s(o) = -2*o**2 + 4*o - 3*o**2 + 5 - o**2 + d*o**2. What is s(b)? 0 Let w(j) = 4 - 6 - 27*j - 25*j - 4. Let s(n) = -53*n - 5. Let l(x) = 5*s(x) - 6*w(x). Let h(v) = -31*v - 7. Let m(p) = 8*h(p) + 5*l(p). Give m(-1). 12 Suppose -5*f = 2*q + 14, -5*q + 23 = -f - f. Suppose 4*y - 45 = 4*p - 9*p, 27 = 3*p - 5*y. Let g = p + f. Let t(b) = b + 4. What is t(g)? 9 Let x = 48 - 42. Let u(t) = t**3 - 5*t**2 - 4*t - 4. Calculate u(x). 8 Let r(l) = -l**3 + 6*l**2 - 6*l + 4. Let w be r(4). Let f(t) = -t + 28. Let b be f(-14). Suppose 0 = 5*h + w - b. Let y(q) = -q - 1. Give y(h). -7 Let u be (-3)/(12/(-7)) + 2/8. Let j(m) = 5*m**u + 0 + m**3 + 5*m - 9*m - 3*m - 2. What is j(-6)? 4 Let z(y) = -4*y - 29. Let d be z(-8). Let r(x) = 3 - 2*x**2 + 4*x + 5*x - 2*x + d*x**2. Determine r(-5). -7 Let s = 8 + -8. Suppose 3*p = -s*p - 12. Let c(d) be the third derivative of d**5/30 + 5*d**4/24 - d**3/3 + 4*d**2. Calculate c(p). 10 Let n(s) = 2*s - 6. Let b(k) = -8*k + 24. Suppose -9*x = -11*x - 18. Let p(g) = x*n(g) - 2*b(g). What is p(4)? -2 Let a(k) be the second derivative of -k**5/40 - k**4/8 - 7*k**3/6 + 16*k. Let z(b) be the second derivative of a(b). What is z(-3)? 6 Let p(k) be the second derivative of 1/4*k**5 + 1/2*k**2 + 0 - 1/6*k**3 - 2*k - 1/12*k**4. Let d = -5 + 6. Calculate p(d). 4 Let s(r) be the second derivative of -1/12*r**4 + 0*r**3 + 0 + 3*r**2 - 8*r. Give s(0). 6 Let l be 24/60*-2*5 - -6. Let r(y) = 4*y - 4. Give r(l). 4 Suppose 6*f - 18 = 3*f. Suppose -51 = f*p + 9. Let r(b) = -b**3 - 11*b**2 - 11*b - 15. Let l be r(p). Let q(g) = g + 1. Determine q(l). -4 Let i(m) = -9*m**3 - 13*m**2 - 12*m + 2. Let c(t) = 16*t**3 + 26*t**2 + 24*t - 3. Let q(d) = -4*c(d) - 7*i(d). Calculate q(-12). -2 Let h(g) = g**3 + 10*g**2 - 4*g - 14. Let x be (-128)/12 + (-4)/(-6). Give h(x). 26 Let z(v) = v - 12. Let d = -5 + 9. Let w(m) = m - 8 - d*m + m - 8. Let b be w(-11). Determine z(b). -6 Let t(r) be the second derivative of 0 + 2*r + 2/3*r**3 - 1/20*r**5 + 1/3*r**4 + r**2. What is t(-2)? 18 Let a(j) = j**2 + j + 1. Let r(t) = 6*t - 2. Let n(b) = a(b) - r(b). Determine n(3). -3 Let v(t) = 1 + 2*t + 0 + 0*t - t. Let d be (-552)/68 + 9*14/1071. Give v(d). -7 Let r(o) be the first derivative of 9/2*o**2 - 7*o - 1/4*o**4 + 2*o**3 + 7. Let c be (7/2)/(2/4). Calculate r(c). 7 Let s be 4/(-10) + (-68)/(-20). Let w(a) = -a + 32*a**2 - s + a**3 - 32*a**2. Calculate w(0). -3 Let d(o) = -o + 1. Let k be d(-5). Let t(c) be the third derivative of c**6/120 - c**5/12 - 3*c**4/8 + c**3/3 + 559*c**2 + 1. Determine t(k). -16 Let q(i) = 5*i + 10. Let b = -35 + 44. Let w(o) = 19*o + 41. Let r(k) = b*q(k) - 2*w(k). Let g(d) = -10*d - 12. Let f(y) = 5*g(y) + 7*r(y). Calculate f(-7). 3 Let v(b) = 4*b - 6*b + 0*b + 4 + 0*b. Let f(u) = -u**2 - 9*u + 3. Let k be f(-9). Suppose k*i - 22 = d - 2, -d = 5*i - 20. What is v(i)? -6 Suppose 2*r - 33 = -5. Let y = 11 - r. Let j be ((-1)/(-3))/(y/(-27)). Let b(n) = -n**3 + 4*n**2 - 5*n + 3. Calculate b(j). -3 Suppose -4*p + 36 = -4*w + 64, 11 = 5*w + p. Let n(y) = y**3 - 2*y**2 + y - 7. What is n(w)? 5 Let q(k) = -5*k**3 + 5*k**2 + 10*k + 9. Suppose 31 = 9*j - 68. Let a(i) = -14*i**3 + 15*i**2 + 29*i + 26. Let o(m) = j*q(m) - 4*a(m). Determine o(6). -5 Let v = -703 - -712. Let i(u) = -u**3 + 10*u**2 - 5*u - 10. Determine i(v). 26 Suppose -67*y = -63*y + 2*w - 10, 0 = -3*y + w + 15. Let b(o) be the third derivative of o**4/8 - 2*o**3/3 + o**2. What is b(y)? 8 Let n(x) = 2*x**3 - 9*x**2 - 4*x - 2. Let y be n(5). Let o(u) = -3*u**2 + 4*u - 1. Calculate o(y). -16 Let d(m) be the second derivative of -m**6/120 + m**5/15 + m**4/24 - 2*m**3/3 - m**2/2 + m. Let o(t) be the first derivative of d(t). Determine o(3). 8 Let i(d) = -2*d**2 + 17*d - 5. Let b be i(8). Let u be (1 - 2) + 0 + b. Suppose -u*z - p + 15 = -6*z, -40 = 3*z + 5*p. Let y(t) = 5*t + 6. Give y(z). -19 Let x(p) = p**3 - p**2. Let j(f) be the third derivative of -7*f**6/120 + f**5/15 + f**4/6 - 5*f**3/6 - f**2. Let n(s) = -j(s) - 6*x(s). What is n(-4)? -11 Let s(g) = -5*g**3 - 24*g**2 + 22*g - 32. Let q(d) = d**3 + 6*d**2 - 5*d + 8. Let y(a) = 9*q(a) + 2*s(a). What is y(6)? 2 Let k(a) = a**3 + 6*a**2 + 4*a - 3. Let b be k(-2). Let s(d) = d**3 - 4*d**2 - 6*d - 5. Give s(b). -10 Let a(s) = -3*s**2 - 6*s - 4. Let d(t) = -10*t**2 - 18*t - 11. Let c(h) = 7*a(h) - 2*d(h). Let f = 105 + -109. Give c(f). 2 Let x(j) = -8*j**2 + 9*j + 17. Let l(p) = -5*p + 7*p - 4*p**2 + 4 + 2*p**2. Let r(s) = -9*l(s) + 2*x(s). Let w = -40 - -38. Determine r(w). 6 Let j(k) = k**3 + 6*k**2 + 4*k - 2. Let h be j(-5). Let t(m) = -1 + 0*m**2 + m**2 - 2*m + m + 4*m - 5*m. What is t(h)? 2 Let c be 2 + -4 + (-3133)/(-1560). Let d(t) be the third derivative of 3/2*t**3 + 1/60*t**5 - c*t**6 + 7*t**2 - 1/24*t**4 + 0*t + 0. What is d(0)? 9 Let w
{ "pile_set_name": "DM Mathematics" }
n denominator of 53/296 and 27/7. 2072 What is the common denominator of -45/38 and -107/10? 190 What is the least common multiple of 282 and 235? 1410 Calculate the least common multiple of 36 and 6. 36 Find the common denominator of -9/50 and -41/105. 1050 Calculate the common denominator of -57/4 and -163/42. 84 Find the common denominator of 4/105 and -59/150. 1050 Calculate the smallest common multiple of 132 and 132. 132 What is the smallest common multiple of 1914 and 726? 21054 What is the lowest common multiple of 2320 and 174? 6960 Calculate the least common multiple of 69 and 33. 759 Calculate the least common multiple of 1272 and 30. 6360 Calculate the smallest common multiple of 305 and 20. 1220 Calculate the least common multiple of 3 and 27. 27 What is the smallest common multiple of 4355 and 8? 34840 Find the common denominator of -88/2505 and -89/135. 22545 Calculate the common denominator of -49/130 and 79/468. 2340 Calculate the smallest common multiple of 20 and 20. 20 What is the common denominator of -65/12 and 43/195? 780 What is the common denominator of -89/45 and 1/636? 9540 Find the common denominator of 9/56 and 115/56. 56 What is the lowest common multiple of 112 and 392? 784 What is the common denominator of 17/40 and 115/288? 1440 What is the least common multiple of 192 and 264? 2112 What is the common denominator of -47/1287 and -125/15444? 15444 Calculate the common denominator of -121/126 and -53/90. 630 Calculate the common denominator of 109/132 and -71/60. 660 What is the least common multiple of 8 and 52? 104 What is the smallest common multiple of 16 and 984? 1968 Find the common denominator of -85/114 and 127/18. 342 What is the smallest common multiple of 37 and 10? 370 What is the smallest common multiple of 2730 and 126? 8190 What is the common denominator of 41/420 and -26/7? 420 Find the common denominator of 79/1560 and 85/132. 17160 What is the smallest common multiple of 120 and 825? 6600 Calculate the common denominator of -43/588 and -69/476. 9996 What is the smallest common multiple of 32 and 528? 1056 What is the common denominator of 89/6886 and -65/6886? 6886 Calculate the least common multiple of 44 and 2256. 24816 Calculate the common denominator of -119/10 and -47/80. 80 Calculate the lowest common multiple of 13 and 221. 221 What is the smallest common multiple of 50 and 60? 300 Calculate the smallest common multiple of 96 and 24. 96 What is the least common multiple of 140 and 84? 420 What is the common denominator of -127/18 and 25/42? 126 What is the lowest common multiple of 44196 and 2? 44196 Calculate the lowest common multiple of 310 and 930. 930 What is the lowest common multiple of 8 and 2172? 4344 What is the least common multiple of 1465 and 1? 1465 What is the lowest common multiple of 3 and 168? 168 Find the common denominator of -81/38 and -70/171. 342 What is the least common multiple of 119 and 153? 1071 Find the common denominator of -31/49 and 113/4844. 33908 Find the common denominator of -59/12 and 71/588. 588 What is the common denominator of 73/232 and 101/6? 696 Calculate the common denominator of 31/2 and 163/156. 156 What is the common denominator of -121/182 and 21/10? 910 What is the lowest common multiple of 22 and 444? 4884 Calculate the lowest common multiple of 66 and 24. 264 What is the lowest common multiple of 104 and 18? 936 Calculate the common denominator of -65/56 and 11/10. 280 Calculate the lowest common multiple of 972 and 10. 4860 Calculate the smallest common multiple of 112 and 20. 560 What is the smallest common multiple of 28 and 22? 308 What is the smallest common multiple of 119 and 413? 7021 Calculate the smallest common multiple of 8 and 90. 360 Find the common denominator of 1/466 and 29/16. 3728 What is the lowest common multiple of 1470 and 8820? 8820 Find the common denominator of -29/68 and 87/32. 544 What is the common denominator of 61/135 and -37/1620? 1620 What is the common denominator of 31/9320 and 83/16? 18640 Calculate the common denominator of 37/54 and 107/66. 594 Calculate the common denominator of 97/20 and -123/40. 40 What is the least common multiple of 2640 and 80? 2640 What is the smallest common multiple of 110 and 90? 990 What is the common denominator of -13/6062 and 117/14? 6062 Find the common denominator of 23/2 and 89/22. 22 What is the least common multiple of 3752 and 126? 33768 What is the common denominator of 47/132 and -7/528? 528 Calculate the least common multiple of 3916 and 267. 11748 Find the common denominator of 15/7348 and -55/668. 7348 Calculate the smallest common multiple of 1108 and 10. 5540 What is the common denominator of 145/72 and -163/252? 504 Find the common denominator of -26/915 and -101/6222. 31110 What is the least common multiple of 2 and 58? 58 Find the common denominator of -99/8462 and -125/6. 25386 What is the common denominator of 45/176 and -33? 176 What is the common denominator of -47/56 and -59/6? 168 Calculate the common denominator of 3/4304 and -137/78. 167856 Find the common denominator of -37/255 and -71/12. 1020 Calculate the common denominator of -17/636 and -83/954. 1908 What is the common denominator of -5/1134 and 73/945? 5670 Calculate the least common multiple of 35 and 230. 1610 Calculate the least common multiple of 190 and 5. 190 What is the common denominator of 131/5016 and -61/8? 5016 Calculate the lowest common multiple of 36 and 315. 1260 Calculate the common denominator of 25/16 and 179/780. 3120 What is the common denominator of 7/25 and 16/69? 1725 Calculate the smallest common multiple of 75 and 15. 75 Find the common denominator of 107/420 and 23/140. 420 Find the common denominator of -13/16 and 33/422. 3376 What is the lowest common multiple of 208 and 247? 3952 What is the lowest common multiple of 243 and 297? 2673 What is the least common multiple of 244 and 488? 488 Find the common denominator of 99/32 and 83/22. 352 Calculate the common denominator of -8/7797 and 77/18. 46782 What is the common denominator of -23/243 and 28/27? 243 What is the lowest common multiple of 4 and 66? 132 Find the common denominator of -103/24 and -109/150. 600 Calculate the lowest common multiple of 232 and 40. 1160 What is the least common multiple of 756 and 108? 756 What is the common denominator of 89/396 and 113/102? 6732 What is the common denominator of -83/6622 and -73/8514? 59598 What is the smallest common multiple of 1666 and 1904? 13328 What is the smallest common multiple of 27 and 1734? 15606 What is the common denominator of 61/288 and -109/72? 288 What is the smallest common multiple of 176 and 132? 528 What is the lowest common multiple of 220 and 66? 660 Calculate the lowest common multiple of 60 and 150. 300 Calculate the common denominator of -45/14 and 41/49. 98 What is the common denominator of 81/32 and -15/28? 224 Calculate the common denominator of 45/2 and 3/218. 218 Calculate the common denominator of 59/12 and -67/580. 1740 Calculate the common denominator of 1/699 and -76/15. 3495 Calculate the common denominator of 39/20 and -46/173. 3460 Calculate the lowest common multiple of 60 and 210. 420 Find the common denominator of 91/36 and -151/60. 180 What is the lowest common multiple of 264 and 141? 12408 Calculate the common denominator of -115/1188 and 127/396. 1188 What is the least common multiple of 70 and 45? 630 Calculate the lowest common multiple of 672 and 6. 672 What is the common denominator of -55/52 and -27/26? 52 Calculate the least common multiple of 1458 and 1782. 16038 What is the least common multiple of 3245 and 209? 61655 What is the least common multiple of 210 and 98? 1470 What is the common denominator of 1/8406 and 93/10? 42030 Calculate the lowest common multiple of 44 and 976. 10736 Find the common denominator of 22/1701 and 59/294. 23814 Find the common denominator of 59/27 and -19/81. 81 Calculate the least common multiple of 444 and 148. 444 Calculate the lowest common multiple of 1960 and 560. 3920 Calculate the lowest common multiple of 400 and 400. 400 Calculate the common denominator of 56/9 and 43/35. 315 Find the common denominator of -39/256 and 101/224. 1792 Find the common denominator of 1/
{ "pile_set_name": "DM Mathematics" }
-79 + 234. Suppose -122*x = -117*x - p. What is the tens digit of x? 3 What is the units digit of (-2 - -2) + 82778/2 - (38 - 38)? 9 Suppose -1 = z, 3*f + z - 2205 = 34229. What is the thousands digit of f? 2 Suppose 8*a - 2*a - 3288 = 0. Suppose -21*c + 38*c - 5134 = 0. Let g = a - c. What is the hundreds digit of g? 2 Let g = 385 + -86. What is the tens digit of ((-4)/(-26) - 237452/g)/(-1)? 9 Let j be (1 + 2/(-8))/(7/(-84)). Let t = 121 - 126. What is the hundreds digit of j/45 + (-586)/t? 1 Let r be (7 - 1950/286) + 75/11. Suppose -b = -60 - 181. Suppose -b = r*a - 1109. What is the tens digit of a? 2 Let v(d) = -9*d**3 + 97*d**2 + 194*d - 52. What is the ten thousands digit of v(-16)? 5 Let g = 391 - 392. Let z(p) = 1410*p**2. What is the thousands digit of z(g)? 1 Suppose -9*l = -54 - 261. Let t be 1 + -3 + l + -7. Suppose 0 = 3*a - 7*p + 2*p - t, 2*a = -2*p + 44. What is the tens digit of a? 1 Let z be 10/(-8)*(-9 - -5). Suppose 4*f = z*c + 40 + 666, -3*c = 3*f - 516. What is the units digit of f? 4 Let v(b) = -2*b + 47. Let u be v(9). Let s(f) = -f**3 + 29*f**2 + 24*f + 20. What is the hundreds digit of s(u)? 7 Let v = 520 + -43. Suppose -9*p + 4*t = -6*p - 474, -3*p = -5*t - v. What is the tens digit of p? 5 What is the hundreds digit of 3/(-36) - (-2511012)/1008? 4 Suppose 0 = -56*c + 50*c - 18. What is the tens digit of 5 + (-1)/(c/(-12)) - -1428? 2 Suppose -8*i = -12*i + 2*t + 25320, 3*t = 6. What is the tens digit of i? 3 Suppose -3*d - 5*o = -14038, 1897 = d - 4*o - 2771. What is the hundreds digit of d? 6 Suppose -21*c - o = -20*c - 18963, -18963 = -c - 8*o. What is the tens digit of c? 6 Let a(d) = -1042*d - 419. What is the thousands digit of a(-23)? 3 Let u(v) = -v**3 + 12*v**2 - 13*v - 8. Let n be u(9). Let g = 219 + n. What is the tens digit of g? 3 Suppose -2*q + 1501431 = 60*q + 41*q. What is the thousands digit of q? 4 Let b(o) = -4*o**3 - 5*o**2 - 23*o - 44. Suppose -3*f - m - 3 = -2*f, -2*m = -8. What is the thousands digit of b(f)? 1 Suppose 0 = -11*i + 12*i - 8. Let d(v) = v + 8. Let w be d(-9). What is the tens digit of i/(-2) - (w - 43)? 4 Let k = -2282 + 11141. What is the hundreds digit of k? 8 Suppose -16*n + 5*n = 61908. Let l = -3975 - n. What is the hundreds digit of l? 6 Let a(u) = -4*u + 108. Suppose -4*b + 17 = 5. Suppose -20 + 20 = b*q. What is the units digit of a(q)? 8 Suppose 0 = -73*y + 46*y + 38*y - 215149. What is the thousands digit of y? 9 Let u = 6481 - -1535. What is the thousands digit of u? 8 What is the hundreds digit of (-409 + -1)*(-7956)/340? 5 Suppose 4*w + 350 = -10*w. What is the units digit of 850/20*(-480)/w? 6 Let w(u) = 36*u + 178. Let x(c) = 67*c + 357. Let d(q) = -5*w(q) + 2*x(q). What is the hundreds digit of d(-31)? 2 Let m(c) = c**3 - 11*c**2 + 20*c - 13. Let l be m(9). Let b be 1*(14/(-2))/(l/10). What is the units digit of b/(((-4)/10)/(45/25))? 3 Let p(b) be the third derivative of b**5/60 - b**4/2 - 2*b**3 - b**2. Suppose -5*c - 288 = -258. What is the tens digit of p(c)? 9 Let f(q) = 5*q**2 + 27*q - 23. Let w be f(-16). What is the hundreds digit of w/2 + (-6)/(-4)? 4 Let q(k) = -18827*k + 153. What is the tens digit of q(-2)? 0 Let s be 1*3/(-9)*3*412. Let t = -234 - s. What is the tens digit of t? 7 Suppose -41*k + 37*k - 5*r = -357, 2*r = -4*k + 354. Let j(x) = 12*x. Let s be j(5). Suppose -3*l + s = 3*f, 0*f - 2*l + k = 4*f. What is the tens digit of f? 2 Suppose 0 = -2*h - 2*l + 80986, 1938*l - 1943*l = -5*h + 202445. What is the thousands digit of h? 0 Let r(v) = -96 + 6*v + 137 - 2*v. Let w be r(-25). Let t = w - -78. What is the tens digit of t? 1 Suppose 12*l = 11*l + 25. Suppose -3*g + l = 2*g, 0 = -4*p - 3*g - 21. What is the hundreds digit of (-2040)/(-45)*p/(-2)? 2 Let b = 27 + -38. Let q be 2190/(-8) + (33/(-4))/b. Let g = q + 418. What is the tens digit of g? 4 Let b(o) = -4*o**2 - 10. Let z(p) be the third derivative of -p**5/60 - p**4/24 - p**3/6 + 26*p**2. Let a(f) = b(f) - 5*z(f). What is the units digit of a(-14)? 1 Suppose 28*u = 32*u - 12. Suppose 8 = 4*p - 12, u*p = 2*h - 67. What is the units digit of h? 1 What is the units digit of (-178)/(6*8/(-360))? 5 Suppose 3*l = -4*s + 6, -3*s = -0*l - l - 11. Suppose 0 = -s*q + 336 + 204. What is the tens digit of 4/18 - 5/(q/(-676))? 1 Let y(i) = -29*i - 27. Let b be y(-13). Suppose 3*s - 3*d - 360 = 0, -2*s + 5*d + b = s. What is the tens digit of (-50)/(-4)*450/s? 4 Suppose 0 = 2*y - 4*y - 5*t + 373, 3*y - 4*t - 571 = 0. What is the units digit of ((-810)/y)/((-1)/119)? 0 Let o be 9492/36 - 3/(-9). Suppose -188 = -z + 4*g + o, 5*z - 4*g = 2324. What is the tens digit of z? 6 Let f(i) = i**3 + 10*i**2 + 5*i - 17. Let u be f(-10). Let t = u + 53. What is the tens digit of (-1)/((-4)/t + (-365)/1155)? 3 Let f = -134 - -136. Suppose -10*q + 15*q - 3*u - 1756 = 0, 0 = -f*q - 3*u + 715. What is the hundreds digit of q? 3 Let d be 5 - -6 - (4 + -2). Let h(l) = 7*l**2 + 19*l - 82. What is the units digit of h(d)? 6 Suppose 2*h + 22 = 14, -4*z + 28 = -2*h. Let l(c) = 12*c**2 - c - 1. What is the tens digit of l(z)? 9 Let y(w) = -15 + 3*w**2 - 29*w + 8*w**2 + 26*w - 3*w**2 - 3*w**2. What is the tens digit of y(16)? 1 Let g be (-1 - 3) + 29 - 2*-1. Let n(y) = -706 + 706 + g*y. What is the tens digit of n(3)? 8 Suppose -n + 134 = -156. Let c(m) = 20*m**3 + m**2 - 1. Let z be c(-2). Let p = n + z. What is the tens digit of p? 3 Let k = -252 + 1711. Let p = k - -265. What is the thousands digit of p? 1 Let v = 484 + 146. Suppose 0*z = 5*z - v. Suppose -7*f = -1288 - z. What is the tens digit of f? 0 Let k(l) = l**3 - 8*l**2 - 22*l + 40. What is the hundreds digit of k(15)? 2 Suppose 0 = 3*h + 970*c - 965*c - 79113, -52742 = -2*h + 5*c. What is the hundreds digit of h? 3 Let p(y) = 4*y**3 + 2*y**2 - 6*y - 8. Let x be p(2). Suppose 17627 - 42207 = -x*o. What is the hundreds digit of o? 2 Let t(y) = y**2 - 15*y - 131. Let u be t(-59). What is the units digit of (-1 + 346/10)/(154/u)? 4 Let b(p) = p**3 + 8*p**2 - 20*p + 2. Let h be b(-10). Suppose -12*j - h*j + 2128 = 0. What is the hundreds digit of j? 1 Let i(o) be the second derivative of -46*o**3/3 - 9*o**2 + 12*o. What is the hundreds digit of i(-6)? 5 Let g be (-33)/(-132) - (-22)/8. Suppose -3*w + g*d = -741, 4*w - 3*d - 331 = 657. What is the hundreds digit of w? 2 Suppose -69*z + 68*z - 3 = 0, -3*k + 3*z = -174. Let t(u) = -4*u**3 - 2*u - 2. Let c be t(-2). Let h = k + c. What is the tens digit of h? 8 Suppose 3*m + 32 = -0*m + 5*h, -2*m + 4 = 3*h. Let k be (-16)/m + 2*(-3)/6. Suppose -k*y - 2*d + 63 = -259, 3*y + 5*d - 328 = 0. What is the units digit of y? 6 Let c = -146 + 165. Let l = c + 369. What is the hundreds digit of l? 3 Let a(l) be the third derivative of l**6/120 - l**5/10 + l**4/8 + 8*l**3/3 - 43*l**2. Let f be a(5). Suppose f*k = -5*k + 3179. What is the units digit of k? 9 Let r(q) = 14*q**2 + 7*q + 2. Let i be r(-1). What is the units digit of (i/54)/(39/18 + -2)? 1 Suppose 0 = -3*c + 22 - 1. Let x(g) be the second derivative of -g**5/20 + 2*g**4/3 - g**3/6 + 7*g**2 - 712*g. What is the tens digit of x(c)? 5 Suppose q - 23 = -2*x, 4*x + x - 56 = -q. Let h be 2/11 - 101/x. Let c = -1 - h. What is the units digit of c? 8 Suppose 2*m - 16 = -4*o, -5*o + 0*o + 22 = 2*m. What is the units digit of 4/o*-3*(-2480)/32? 5 Let b(w) = -4*w**2 + 2*w + 1. Let y be b(-1). Suppose 0 = 639*c - 651*c + 192. Let o = c + y. What is the units digit of o? 1 Let n be 3 + 17373/15 + (-7)/35. Suppose -5*c + 1169 = 4*l, 3*c = 4*l - 0*c - n. What is the tens digit of l? 9 Let m(h) = 107*h - 201. Let x be m(9). Let t = x + -398. What is the tens digit of t? 6 Suppose -9*x + 78 = -129. Suppose x*j - 26*j = -699. What is the units digit of j? 3 Let c = -13431 + 13411. Let h = 20 + -3. Let u = h - c. What is the tens digit of u? 3 Let q = 29 + -48. Let u = 59 - 67. What is the units digit of q/76 + (-74)/u? 9 Let c(n) = 2*n**3 - 24*n**2 - 43*n + 49. What is the hundreds digit of c(17)? 2 Suppose -237 = -2*g + g. Let i = g - 220. What is the tens digit of i? 1 Let b(m) = 18*m - 37. Let f be b(5). Let h(x) = 5*x**2 - 57 - f + x + 111. What is the units digit of h(5)? 1 Let m = -45 - -41. Let a = m + -11. What is the units digit of 6/4*(-550)/a? 5 Let x be ((-114560)/(-56))/5
{ "pile_set_name": "DM Mathematics" }
rt(2) Simplify ((sqrt(170) - sqrt(170)*3)*1)/(sqrt(640)*3) + (((sqrt(34)*2)/sqrt(2) + sqrt(17))*-4 - ((sqrt(272) + 3)**2 + -5)). -276 - 433*sqrt(17)/12 Simplify 3*((3*(sqrt(1125) + 0) + sqrt(1125) + 4 + (sqrt(1125) + 1 + sqrt(1125))*2 + (sqrt(1125) - (sqrt(1125) + (sqrt(1125) + 0 + sqrt(1125))*3)))**2 + 3). 1080*sqrt(5) + 13617 Simplify -2 + ((-4 + sqrt(612))*4 - (-2 + 4*sqrt(612)))*-3 + 4 + -4. 40 Simplify (2*sqrt(5700)*-2)/((sqrt(12) + sqrt(144)/(sqrt(72)/sqrt(6)))/sqrt(4))*-5. 100*sqrt(19) Simplify (3*(sqrt(16) + sqrt(112)/(sqrt(7) + sqrt(28)))/sqrt(8))**2 - 2*(sqrt(150)*-3)/sqrt(3). 32 + 30*sqrt(2) Simplify sqrt(11) + (sqrt(66)*2)/sqrt(6) + -5 + sqrt(11) + sqrt(88)/sqrt(8) + (sqrt(1331) + 4 - ((sqrt(11) - ((sqrt(11) + 4 + sqrt(11))**2 + sqrt(11))) + -2)). 61 + 32*sqrt(11) Simplify (-2*-5*(sqrt(2430) - sqrt(2430)*-2 - sqrt(2430)))/((sqrt(54) + -2*sqrt(216)/sqrt(4))/(sqrt(9) + (sqrt(225) - (sqrt(225) + 2*sqrt(225))))). 1620*sqrt(5) Simplify (-6*(((sqrt(5) - sqrt(45)/sqrt(144)) + 3 + 0 + sqrt(5))*-4 - ((sqrt(5) + sqrt(15)/(2*sqrt(3)) - sqrt(5)) + 4*sqrt(45))))**2. 16848*sqrt(5) + 73629 Simplify ((-2 + sqrt(80)*-2 + 2 + sqrt(80)*1 + sqrt(80) + -5 + -5*(-2 + sqrt(80)))*6 + 5)**2. -8400*sqrt(5) + 73225 Simplify 5 + (0 + sqrt(1088) + 0)**2*1 - (sqrt(119)*-1*1)/(sqrt(847)*2 - sqrt(7)). sqrt(17)/21 + 1093 Simplify (1*(sqrt(190) + (sqrt(190)*1 - sqrt(190))) - (1*sqrt(190) - sqrt(190))*3)/(-6*(sqrt(490)*-2 - sqrt(490))*3). sqrt(19)/378 Simplify (sqrt(300)*4*-4*-2)/(1*sqrt(42)/sqrt(7)*-4). -40*sqrt(2) Simplify (((6*-2*sqrt(931) - (-4*(sqrt(19)*2 + sqrt(19)) + 5)) + 3)**2 + 1)*4. 1152*sqrt(19) + 394004 Simplify (sqrt(55)/sqrt(11)*-3 + 5 + 5)**2 + (sqrt(180)*-1 - sqrt(15)/sqrt(12))**2*5. -60*sqrt(5) + 4805/4 Simplify 4 + (1*(sqrt(363) + -2 + sqrt(363)) + sqrt(21)/((sqrt(7) - sqrt(7)*2)*4))**2 + -3. -87*sqrt(3) + 22787/16 Simplify (1 + 0 + sqrt(1053) + 1 - (1 + -2*sqrt(1053))*-2)**2 + -4 + -5. -216*sqrt(13) + 9484 Simplify 5 + ((sqrt(300)*-4*-5 - sqrt(300) - (5 + 1 + sqrt(300))) + -5*(-1 + sqrt(300) - sqrt(300))*2*-1)**2. -5760*sqrt(3) + 97461 Simplify (sqrt(204)/(sqrt(60)/sqrt(5)) + (-1 + sqrt(51)/sqrt(3) - sqrt(17)) + -1)**2 + (-6*(sqrt(1700) + 2)**2 - ((-3 + sqrt(1700))**2 + 2)). -11914 - 184*sqrt(17) Simplify (-1 + (2*-1*sqrt(567) + sqrt(567) - (3 + -1 + sqrt(567))) + -4 + -1)*5. -90*sqrt(7) - 40 Simplify (sqrt(448) + 1 + -2 + -5)*6 - (-1 + -1 + 2 + sqrt(448))**2*-1. 48*sqrt(7) + 412 Simplify -5 + (((sqrt(1053) - ((-1*sqrt(1053) - sqrt(1053)) + sqrt(1053))) + -5 - 5*sqrt(1053)*2) + (sqrt(1872)*-1 - (sqrt(13) - 2*sqrt(1053))))**2. 670*sqrt(13) + 58377 Simplify sqrt(10)/(5*sqrt(200) + sqrt(2)) + 4 - (sqrt(245) - (-2 + sqrt(245)*3))*-6. -4283*sqrt(5)/51 + 16 Simplify (-3*(2*sqrt(784)*-1 - sqrt(784)))/(2*sqrt(21)/(sqrt(18)/(2*sqrt(6) + sqrt(6)))). 6*sqrt(7) Simplify -4*1*1*(-3 + (-4*(0 + sqrt(171)) + (sqrt(171)*1 - sqrt(171)) + -4)**2). -10996 - 384*sqrt(19) Simplify (sqrt(297)*-5 + sqrt(825) + (sqrt(825) - ((sqrt(825) - (sqrt(825)*3 - sqrt(825))) + sqrt(825))) + sqrt(825))/(3*sqrt(1100)*-1*-6). 0 Simplify 2 + (((-5*sqrt(300) - sqrt(300)) + sqrt(300))/sqrt(5)*-4)/(sqrt(1728)*-2*1 + sqrt(1728)). -5*sqrt(5)/3 + 2 Simplify (1*(-5 + (sqrt(243) - sqrt(243)*-1)))**2 + -4*(1*sqrt(3)*-1 + (0 + sqrt(3))*5). -196*sqrt(3) + 997 Simplify (((sqrt(363) + 1)*3)**2 - -2*(-1 + sqrt(363)) - ((3 + (sqrt(363) - (sqrt(363) + sqrt(363) + sqrt(363)*-2 - sqrt(363))))*-4)**2)*5. -100510 - 9460*sqrt(3) Simplify (5*1*sqrt(130)*2*2)/(-1*4*(sqrt(360)*3 + sqrt(360))). -5*sqrt(13)/24 Simplify (1*(sqrt(128) + 4) + 4 + 2)**2 + 2. 160*sqrt(2) + 230 Simplify 0 + ((sqrt(140)/sqrt(28))/(sqrt(30)/sqrt(12)) - (-3*(sqrt(96)/sqrt(4))/sqrt(12) + -3)) + -4. -1 + 4*sqrt(2) Simplify (-1 + 1 + -2*(-3*(0 + sqrt(847) + 2 + sqrt(847)) + -2))**2. 4224*sqrt(7) + 122224 Simplify 5*sqrt(50)/sqrt(10) + 2*sqrt(5)*6 + (sqrt(500) + 1*sqrt(500) + 4 + -1)**2. 137*sqrt(5) + 2009 Simplify 1 + (1*-6*(sqrt(1008)*-1 + sqrt(1008)) + 5 + 4)**2 + 1. 83 Simplify -5*(4*-3*(sqrt(396)*-4 - sqrt(396))*-6)**2 + -4 + 0. -256608004 Simplify (-3*(2 + (sqrt(216)*2)/sqrt(2) + 4*sqrt(48) + -3))**2. -504*sqrt(3) + 21177 Simplify 5*1*((1*sqrt(475)*2 + sqrt(475) + sqrt(475)*-1*4)**2 + 4). 2395 Simplify ((sqrt(135) + -5*(sqrt(135)*-3 - sqrt(135)))/sqrt(3)*2)/(-3*-5*(sqrt(144) - sqrt(144)*2)). -7*sqrt(5)/10 Simplify -3*(0 + (sqrt(405) + sqrt(405) + (sqrt(405) - (sqrt(405) - sqrt(405)*-2) - sqrt(405))*-3)/(sqrt(9) - sqrt(900)*2))*3. 297*sqrt(5)/19 Simplify -5*(6*sqrt(51)/sqrt(3) + (sqrt(17) - -2*sqrt(272)) + sqrt(34)/(-2*sqrt(128) - sqrt(128)))*6 + 0. -1795*sqrt(17)/4 Simplify ((sqrt(30)*-2*6 - sqrt(1470)*2)/(sqrt(810)*-2*1) + -4)*5. -20 + 65*sqrt(3)/9 Simplify (-5 + 0 + (5*-5*sqrt(68)*-1)/(-1*(sqrt(4) + (sqrt(80)/sqrt(4) - sqrt(20))/sqrt(5))) + -3)**2. 400*sqrt(17) + 10689 Simplify (5*1*(sqrt(14) + sqrt(224)*2))/((-5*-4*sqrt(450) - sqrt(450)) + sqrt(450) - sqrt(450) - sqrt(450) - sqrt(450)). 3*sqrt(7)/17 Simplify -4 + (sqrt(200) - (-2 + (sqrt(200) - -2*sqrt(200)))**2) + -2 + (-1 + (sqrt(200) - ((4*-2*sqrt(200))**2 + sqrt(200))) + sqrt(200))*4. -53014 + 170*sqrt(2) Simplify -6*(5 + (-4 + 1*sqrt(448) + 0 - ((sqrt(448) + -1)*2 + -5)**2)). -1392*sqrt(7) + 11040 Simplify 1 + (-3 + sqrt(288) + 0 - (sqrt(288) + -4 + 0 + sqrt(288)))*-5 + 3. -1 + 60*sqrt(2) Simplify -1*(0 + sqrt(1008) + (sqrt(1008) - (2 + sqrt(1008)))**2 + (sqrt(1008)*-2 + -5)**2 - (1 + sqrt(42)/sqrt(6) + 3*-1*sqrt(7))). -4060 - 254*sqrt(7) Simplify (5*(1*sqrt(228) + sqrt(228)))/(3*sqrt(1200)) - (3*sqrt(57)*-2 + sqrt(57))/(sqrt(30)/(sqrt(10)*-1)). -14*sqrt(19)/3 Simplify -3 + (0 + sqrt(52) + -1 + -3 + 1 + sqrt(13) + -2)**2*-5. -713 + 150*sqrt(13) Simplify -6*((-5 + (sqrt(720) - (-1 + sqrt(720))**2) - (sqrt(720) + 2)*2)*-6 + -1)*5. -131370 + 2160*sqrt(5) Simplify (5*-2*sqrt(110) + sqrt(110) + sqrt(110))/(sqrt(20)/sqrt(2)*1)*-2 + 1*(((sqrt(198) - sqrt(22))/sqrt(2))**2*4 + -2). 16*sqrt(11) + 174 Simplify (-1*sqrt(5040)*4 + sqrt(5040) + 2*sqrt(5040)*-3 + sqrt(5040))/(((-2*sqrt(84) + sqrt(84))*6 - sqrt(84))/(1*sqrt(300) + sqrt(12))). 576*sqrt(5)/7 Simplify (sqrt(405) + 1)*4 + (6*sqrt(405)*-1)**2 + sqrt(15)/(sqrt(21)/sqrt(7)) + (-4*(-3 + sqrt(5)))**2. -59*sqrt(5) + 14808 Simplify 6*((((sqrt(76) + 2*sqrt(76))*-2 - (sqrt(76) - (2 + (-1 + sqrt(76) - sqrt(76)) + sqrt(76))))**2 + (1 + sqrt(76))**2*5 + 4)*-1 + 4). -18732 + 24*sqrt(19) Simplify (3 + ((-3 + -1*sqrt(99) + 2)*-4)**2*4)*3. 1152*sqrt(11) + 19209 Simplify ((1 + 0 + sqrt(320) - (2 + sqrt(320) + 5 + sqrt(320))**2) + -2)*5 + 1. -6649 - 1080*sqrt(5) Simplify (((sqrt(3400)*-3 + sqrt(3400))*-5 + sqrt(3400) - sqrt(3400))*4)/(sqrt(2) + (sqrt(2) + sqrt(6)/sqrt(243) - sqrt(2)) + sqrt(18)/sqrt(144)). 14400*sqrt(17)/49 Simplify -5 + 4*((3*(2 + sqrt(1872) + 1))**2 + ((-5*(sqrt(65) - sqrt(65)*2) - sqrt(65) - sqrt(65))/(sqrt(30)/(2*sqrt(6) - sqrt(6))))**2). 2592*sqrt(13) + 68179 Simplify (sqrt(6) + (sqrt(42)/(sqrt(14)/sqrt(2)) - sqrt(6)) + -1*-3*sqrt(6))/(6*(sqrt(192) - -4*-1*sqrt(192))). -sqrt(2)/36 Simplify (4 + (3 + (1*sqrt(1300) + sqrt(1300) - sqrt(1300)) + -2 + (-2*sqrt(1300) + sqrt(1300) + -4 - sqrt(1300)) + (0 + sqrt(1300) + sqrt(1300))*-5)*-1)**2. 1540*sqrt(13) + 157349 Simplify (-3*(sqrt(216) + ((sqrt(216) + 2*sqrt(216))*-4 - sqrt(216)) + sqrt(216))/sqrt(8))/((sqrt(1296) - sqrt(1296)*-1*5) + -1*(sqrt(1296) - -2*sqrt(1296))). 11*sqrt(3)/12 Simplify (-3*(sqrt(190) - -3*sqrt(190)*-3 - sqrt(190)))/(3*(3*sqrt(40))/sqrt(4))*5. 15*sqrt(19) Simplify (-3 + -5 + 3*sqrt(2448) + sqrt(2448) + 4 + (-1*sqrt(2448) - sqrt(2448)) + 6*(sqrt(2448)*3*-6 - (1*(-1 + sqrt(2448)) + sqrt(2448) - sqrt(2448))))**2. -5376*sqrt(17) + 30707716 Simplify 4 + 1*(-4*(-2 + sqrt(567) + -5 - (1 + sqrt(567)*-3)**2) + 0). -252*sqrt(7) + 20448 Simplify 5 + (1*(sqrt(117)*-1*-6 + -3*-2*sqrt(117)))/(1*((-2*sqrt(225)*-3 - sqrt(225)) + sqrt(225) - sqrt(225))). 12*sqrt(13)/25 + 5 Simplify (sqrt(675) + (sqrt(675) + 0 + sqrt(675))**2)*5 + sqrt(675) + ((sqrt(675) + 2 - sqrt(675))*-5)**2 + (sqrt(675)*1 - sqrt(675)) + -5 + -1 + sqrt(675) + 2. 105*sqrt(3) + 13596 Simplify (-3*((-3*sqrt(91) + sqrt(91))*-4*2)/(sqrt(63) + 5*(sqrt(63) - (sqrt(63) + sqrt(6300)))))**2. 3328/2401 Simplify 3 + sqrt(700) - (sqrt(175)*-1)**2 - ((sqrt(7) - 5*(-1 + sqrt(7))) + -4 + sqrt(700) + sqrt(7))**2. -516
{ "pile_set_name": "DM Mathematics" }
ors of 21696? 2, 3, 113 List the prime factors of 13. 13 List the prime factors of 73689. 3, 7, 11, 29 List the prime factors of 25642. 2, 12821 What are the prime factors of 1173? 3, 17, 23 List the prime factors of 1657. 1657 What are the prime factors of 773? 773 List the prime factors of 715. 5, 11, 13 List the prime factors of 12339. 3, 457 List the prime factors of 399. 3, 7, 19 List the prime factors of 49483. 7, 7069 What are the prime factors of 4310? 2, 5, 431 What are the prime factors of 16048? 2, 17, 59 What are the prime factors of 60480? 2, 3, 5, 7 List the prime factors of 11. 11 List the prime factors of 3224. 2, 13, 31 List the prime factors of 22039. 22039 What are the prime factors of 157120? 2, 5, 491 What are the prime factors of 9539? 9539 What are the prime factors of 96997? 96997 What are the prime factors of 23567? 23567 What are the prime factors of 75212? 2, 18803 List the prime factors of 10508. 2, 37, 71 List the prime factors of 421. 421 What are the prime factors of 108650? 2, 5, 41, 53 List the prime factors of 1449. 3, 7, 23 What are the prime factors of 8515? 5, 13, 131 List the prime factors of 388. 2, 97 List the prime factors of 47073. 3, 13, 17, 71 What are the prime factors of 5180? 2, 5, 7, 37 List the prime factors of 4345. 5, 11, 79 List the prime factors of 3352. 2, 419 What are the prime factors of 1665? 3, 5, 37 What are the prime factors of 1006? 2, 503 List the prime factors of 141. 3, 47 List the prime factors of 1896. 2, 3, 79 List the prime factors of 5002. 2, 41, 61 List the prime factors of 52716. 2, 3, 23, 191 What are the prime factors of 38057? 19, 2003 List the prime factors of 1398. 2, 3, 233 List the prime factors of 25893. 3, 7, 137 List the prime factors of 70195. 5, 101, 139 List the prime factors of 6162. 2, 3, 13, 79 List the prime factors of 12501. 3, 463 List the prime factors of 42838. 2, 21419 What are the prime factors of 1142? 2, 571 What are the prime factors of 3782? 2, 31, 61 List the prime factors of 3198. 2, 3, 13, 41 List the prime factors of 14372. 2, 3593 List the prime factors of 135293. 193, 701 List the prime factors of 28410. 2, 3, 5, 947 What are the prime factors of 2549? 2549 What are the prime factors of 1559? 1559 List the prime factors of 76422. 2, 3, 47, 271 What are the prime factors of 50245? 5, 13, 773 List the prime factors of 2715. 3, 5, 181 List the prime factors of 6022. 2, 3011 What are the prime factors of 156? 2, 3, 13 List the prime factors of 1624. 2, 7, 29 List the prime factors of 63742. 2, 7, 29, 157 What are the prime factors of 494? 2, 13, 19 List the prime factors of 35130. 2, 3, 5, 1171 What are the prime factors of 11887? 11887 List the prime factors of 1584. 2, 3, 11 List the prime factors of 854. 2, 7, 61 What are the prime factors of 105? 3, 5, 7 List the prime factors of 6240. 2, 3, 5, 13 List the prime factors of 3731. 7, 13, 41 What are the prime factors of 104866? 2, 52433 List the prime factors of 66953. 23, 41, 71 What are the prime factors of 2254? 2, 7, 23 What are the prime factors of 131012? 2, 7, 4679 What are the prime factors of 95476? 2, 23869 What are the prime factors of 748? 2, 11, 17 List the prime factors of 18498. 2, 3, 3083 List the prime factors of 601. 601 What are the prime factors of 670? 2, 5, 67 What are the prime factors of 3270? 2, 3, 5, 109 What are the prime factors of 8715? 3, 5, 7, 83 List the prime factors of 1164. 2, 3, 97 What are the prime factors of 13743? 3, 509 What are the prime factors of 72105? 3, 5, 11, 19, 23 List the prime factors of 8334. 2, 3, 463 What are the prime factors of 1522? 2, 761 What are the prime factors of 11446? 2, 59, 97 What are the prime factors of 435? 3, 5, 29 List the prime factors of 12116. 2, 13, 233 List the prime factors of 21568. 2, 337 What are the prime factors of 2618? 2, 7, 11, 17 List the prime factors of 94508. 2, 23627 What are the prime factors of 11827? 11827 List the prime factors of 174471. 3, 11, 17, 311 List the prime factors of 7875. 3, 5, 7 List the prime factors of 22376. 2, 2797 What are the prime factors of 182629? 181, 1009 List the prime factors of 1153. 1153 What are the prime factors of 2815? 5, 563 List the prime factors of 63779. 23, 47, 59 What are the prime factors of 65303? 7, 19, 491 List the prime factors of 113396. 2, 28349 What are the prime factors of 56873? 56873 List the prime factors of 6583. 29, 227 List the prime factors of 827. 827 List the prime factors of 100017. 3, 11113 What are the prime factors of 443? 443 What are the prime factors of 174? 2, 3, 29 List the prime factors of 205. 5, 41 List the prime factors of 15691. 13, 17, 71 What are the prime factors of 4981? 17, 293 What are the prime factors of 2127? 3, 709 List the prime factors of 743. 743 What are the prime factors of 70574? 2, 7, 71 List the prime factors of 3428. 2, 857 What are the prime factors of 7979? 79, 101 List the prime factors of 2156. 2, 7, 11 What are the prime factors of 804? 2, 3, 67 What are the prime factors of 411? 3, 137 List the prime factors of 33307. 19, 1753 List the prime factors of 813. 3, 271 List the prime factors of 2819. 2819 What are the prime factors of 4059? 3, 11, 41 List the prime factors of 149. 149 List the prime factors of 6310. 2, 5, 631 List the prime factors of 3255. 3, 5, 7, 31 List the prime factors of 654. 2, 3, 109 What are the prime factors of 1399? 1399 List the prime factors of 38040. 2, 3, 5, 317 What are the prime factors of 3353? 7, 479 What are the prime factors of 3172? 2, 13, 61 What are the prime factors of 7280? 2, 5, 7, 13 List the prime factors of 38322. 2, 3, 2129 List the prime factors of 15765. 3, 5, 1051 What are the prime factors of 31827? 3, 103 What are the prime factors of 2327? 13, 179 List the prime factors of 46665. 3, 5, 17, 61 List the prime factors of 5649. 3, 7, 269 What are the prime factors of 26416? 2, 13, 127 List the prime factors of 26. 2, 13 List the prime factors of 273. 3, 7, 13 List the prime factors of 4833. 3, 179 List the prime factors of 164880. 2, 3, 5, 229 What are the prime factors of 408? 2, 3, 17 List the prime factors of 5501. 5501 What are the prime factors of 14394? 2, 3, 2399 What are the prime factors of 9072? 2, 3, 7 What are the prime factors of 1736? 2, 7, 31 List the prime factors of 1304. 2, 163 What are the prime factors of 19563? 3, 6521 What are the prime factors of 148745? 5, 71, 419 What are the prime factors of 15263? 15263 What are the prime factors of 681? 3, 227 What are the prime factors of 4107? 3, 37 What are the prime factors of 11896? 2, 1487 What are the prime factors of 45998? 2, 109, 211 List the prime factors of 4533. 3, 1511 List the prime factors of 3568. 2, 223 What are the prime factors of 87443? 87443 List the prime factors of 47105. 5, 9421 What are the prime factors of 50689? 173, 293 What are the prime factors of 164? 2, 41 What are the prime factors of 77862? 2, 3, 19, 683 List the prime factors of 30009. 3, 7, 1429 What are the prime factors of 2174? 2, 1087 List the prime factors of 6556. 2, 11, 149 What are the prime factors of 39236? 2, 17, 577 List the prime factors of 12267. 3, 29, 47 What are the prime factors of 1426? 2, 23, 31 What are the prime factors of 2185? 5, 19, 23 List the prime factors of 11500. 2, 5, 23 List the prime factors of 3774. 2, 3, 17, 37 List the prime factors of 2224. 2, 139 What are the prime factors of 76? 2, 19 List the prime factors of 5308. 2, 1327 What are the prime factors of 3430? 2, 5, 7 List the prime factors of 909. 3, 101 What are the prime factors of 3346? 2, 7, 239 What are the prime factors of 115487? 53, 2179 What are the prime factors of 1506? 2, 3, 251 What are the prime factors of 3666? 2, 3, 13, 47 What are the prime factors of 1973? 1973 What are the prime factors of 1628? 2, 11, 37 List the prime factors of 1178. 2, 19, 31 What are the prime factors of 12802? 2, 37, 173 What are the prime factors of 29670? 2, 3, 5, 23, 43 What are the prime factors of 10912? 2, 11, 31 List the prime factors of 634. 2, 317 What are the prime factors of 1236? 2, 3, 103 List the prime factors of 17602. 2, 13, 677 List the prime factors of 14758. 2, 47, 157 What are the prime factors of 300? 2, 3,
{ "pile_set_name": "DM Mathematics" }
-8820*m**2 + 1584*m + 510 What is the second derivative of -603213646*d**5 - 25086000*d? -12064272920*d**3 What is the second derivative of -2*s**5 + 20695*s**3 - 591*s**2 - 742460*s + 8? -40*s**3 + 124170*s - 1182 What is the first derivative of 121408540*n**3 + 132323647 wrt n? 364225620*n**2 Find the third derivative of -5516*h**5*l - h**5 + 44*h**3 - 3*h**2*l - 290*h**2 - 2*h*l - 659*h - 2*l wrt h. -330960*h**2*l - 60*h**2 + 264 Find the second derivative of -2518971*f**2*v**3 - 1722*f*v**3 + 876*f*v**2 + 17*v**3 + 2*v**2 wrt f. -5037942*v**3 What is the second derivative of -98108426*o**3 - 61462*o + 74? -588650556*o Find the third derivative of -359905*k**4*q**3 - 3*k**4 + 10*k**2*q**3 - 14*k**2*q**2 - 4*k*q**3 + 128*q wrt k. -8637720*k*q**3 - 72*k Differentiate 2410835*j**2*s - 2*j**2 - 3*s**3 + 39070005 with respect to s. 2410835*j**2 - 9*s**2 What is the second derivative of 12280*f**2*m - 108*f**2 - 1263718*f + 3*m wrt f? 24560*m - 216 What is the second derivative of 1388492*i**3 - 309834*i + 3 wrt i? 8330952*i What is the second derivative of 46943848*c**2 + 23640409*c wrt c? 93887696 Find the second derivative of -253359*g**5 + 32*g**3 - 20437224*g + 1 wrt g. -5067180*g**3 + 192*g What is the third derivative of -689682*p**3 - 3*p**2 - 1967797*p? -4138092 Differentiate -5392788*r - 1345028 wrt r. -5392788 What is the third derivative of -s**5 + 11*s**4 + 354657*s**3 + 136*s**2 + 64637 wrt s? -60*s**2 + 264*s + 2127942 What is the first derivative of -30543553*f**2*n - 5433847*n wrt f? -61087106*f*n Find the first derivative of 73669102*v**2 + 50814677 wrt v. 147338204*v What is the second derivative of -19553*v**2*y**2 + 27*v**2 - 12797*v*y**2 + 556*v wrt v? -39106*y**2 + 54 Find the second derivative of 201746*w**5 + 2*w**3 + 330*w + 801. 4034920*w**3 + 12*w What is the second derivative of 2245153*v**5 + 12298*v - 12? 44903060*v**3 What is the first derivative of 968730*z**4 - 8506364? 3874920*z**3 Find the first derivative of 315457847*o**2 - 238840355. 630915694*o Find the first derivative of -54242*m*p**3 - m*p**2 + 627*m*p + 206*p**3 - 2*p**2 + 2*p - 2998 wrt m. -54242*p**3 - p**2 + 627*p Find the first derivative of 27614*j**3*l + 1814*j**3 + j**2*l + 1459*j**2 + 681*j*l + 2*j + l + 7 wrt l. 27614*j**3 + j**2 + 681*j + 1 What is the first derivative of 219*p**3*y + 6114*p**2*y - 50641*y - 4 wrt p? 657*p**2*y + 12228*p*y What is the third derivative of -4846297*s**3 - 2801*s**2 - 1664*s? -29077782 What is the second derivative of -172*b**5 + 1891*b**3 - 6*b**2 - 513958*b - 28 wrt b? -3440*b**3 + 11346*b - 12 Find the first derivative of -8604674*x**4 - 12623568 wrt x. -34418696*x**3 What is the derivative of -788352888*j**3 - 105024599? -2365058664*j**2 What is the second derivative of 7365*b**3*f - 1247*b**3 - b**2*f - b**2 + 10076096*b - 25*f wrt b? 44190*b*f - 7482*b - 2*f - 2 Find the second derivative of 24168380*k**2 - 9288933*k. 48336760 Find the second derivative of -492*k*o**3 + 245*k*o**2 + 126*k*o - k - o**3 + o**2 + 6224*o wrt o. -2952*k*o + 490*k - 6*o + 2 What is the second derivative of -1012049*l**5 + 3*l**4 - 25804146*l? -20240980*l**3 + 36*l**2 Find the third derivative of -12772475*q**5 - 263182*q**2 wrt q. -766348500*q**2 What is the second derivative of 20*x**3 + 7002*x**2 - 15833148*x? 120*x + 14004 Find the third derivative of 115075931*h**3 + 97964962*h**2 + 2*h wrt h. 690455586 What is the third derivative of -22391988*o**3 - 749286*o**2 - 12*o wrt o? -134351928 What is the second derivative of 70282395*s**3 - 67280129*s? 421694370*s What is the second derivative of -21117221*r**2 + 1498*r - 3900? -42234442 What is the second derivative of -1382384*n*x**3 + 259*n*x - 14*x**3 - 251184 wrt x? -8294304*n*x - 84*x What is the third derivative of 34*u**5 - 9686*u**4 + 70*u**3 + u**2 + 58807182 wrt u? 2040*u**2 - 232464*u + 420 What is the second derivative of -59345*h**3*p**2 + 346*h**2*p - 2*h*p**2 - 4*h + 121885 wrt h? -356070*h*p**2 + 692*p What is the third derivative of 6058269*w**3 + 706786*w**2 + 26*w - 1 wrt w? 36349614 Differentiate -4*c**2*x - 144698048*c**2 - 2423*c*x - 2338*x wrt x. -4*c**2 - 2423*c - 2338 What is the third derivative of 36565678*y**4 - 35164681*y**2? 877576272*y What is the third derivative of s**4 + 25193250*s**3 - 35014084*s**2 wrt s? 24*s + 151159500 Differentiate 2*d**2*f - 3436972*d**2 - 17867*f - 71 wrt d. 4*d*f - 6873944*d Find the first derivative of -544*g**4 + 14439*g**3 + 64809968 wrt g. -2176*g**3 + 43317*g**2 Differentiate 4255*g*m*p*s**2 + 6*g*m*p*s + 10*g*m*p - 3*g*m + m - p*s**2 + 807*p with respect to s. 8510*g*m*p*s + 6*g*m*p - 2*p*s Find the third derivative of -464417106*a**3 - 5*a**2 - 8*a + 8506 wrt a. -2786502636 What is the third derivative of 20889695*g**4 - 28892*g**2 - 4*g - 2 wrt g? 501352680*g What is the second derivative of -226398373*t**4 + 5146620*t - 11 wrt t? -2716780476*t**2 What is the second derivative of 1384314*x**3 + 18*x**2 + 12863758*x wrt x? 8305884*x + 36 Find the third derivative of 3222763*f**3 - 55*f**2 + 20*f - 17. 19336578 Find the second derivative of -2635551*t**2 + 5021916*t. -5271102 Differentiate -346984597*x - 472775175. -346984597 Differentiate 6454651*s + 9513016. 6454651 What is the first derivative of -40*v**4 + 240580*v**3 + 5469068 wrt v? -160*v**3 + 721740*v**2 What is the first derivative of -15617829*s**4 - 11218830? -62471316*s**3 What is the third derivative of 10203592*h**3 + 382335*h**2 - 2? 61221552 Find the second derivative of 100517411*f**2 - 416721400*f. 201034822 What is the third derivative of -142*f**6 + 298593*f**5 - f**2 + 6580851*f - 1 wrt f? -17040*f**3 + 17915580*f**2 Differentiate 526592309*r**3 - 210247710. 1579776927*r**2 What is the second derivative of 10*m**3*o*r**2 + 407689*m**3*o*r + 3*m*r + 2*o*r**2 + o*r + 251389*r**2 wrt m? 60*m*o*r**2 + 2446134*m*o*r Find the second derivative of -2052113*k**5 - 113*k - 25739 wrt k. -41042260*k**3 What is the third derivative of -2*b*c**3 + 4*b*c**2 + 11*b*c - 19*b + 15491518*c**3 + 15*c**2 + 4 wrt c? -12*b + 92949108 What is the third derivative of 24253*c**4 - 1242*c**3 - 26*c**2 - 2*c + 247703 wrt c? 582072*c - 7452 What is the derivative of -16606380*h**4*t**3 - 12*h*t**3 + 18301419*t**3 + t wrt h? -66425520*h**3*t**3 - 12*t**3 Find the third derivative of -2*z**6 + 38324486*z**5 - 368*z**2 + 2*z + 26851. -240*z**3 + 2299469160*z**2 What is the third derivative of -428401*a*i**3*z**3 + a*i**3*z**2 + 2*a*i**3*z + 91*a*i**2*z**3 - 4*a*i*z + i**3*z**2 - 928*i*z**2 + 14*i + 2 wrt z? -2570406*a*i**3 + 546*a*i**2 Find the second derivative of -2*r**4 + 33791243*r**2 + 74108773*r wrt r. -24*r**2 + 67582486 Find the second derivative of -2*a**2*d**3 + 128*a**2*d**2 + 233*a**2*d + 3*a*d**3 + 217*a*d**2 + 7*a*d + 3*d**2 - 284*d wrt a. -4*d**3 + 256*d**2 + 466*d Differentiate -1889*c**2*u + 6857*c*u + 28561076*u with respect to c. -3778*c*u + 6857*u What is the first derivative of -882*f**2*g**3 + 5555*f*g*z + 10129*g**3 + 7*g**2*z + g**2 - 2*z - 21 wrt f? -1764*f*g**3 + 5555*g*z Find the third derivative of -3254806*x**6 - 1608*x**2 + 213*x wrt x. -390576720*x**3 Find the first derivative of -463*c**2 + 3822*c + 9079528 wrt c. -926*c + 3822 Differentiate -21899*n**4 - 3573*n**2 + 361395890 with respect to n. -87596*n**3 - 7146*n Find the second derivative of 11397158*d**4 - d**2 - d - 6900756 wrt d. 136765896*d**2 - 2 What is the derivative of 2683*q**2*r + 722*q*r**3 - 1015132*r**3 wrt q? 5366*q*r + 722*r**3 What is the third derivative of 15*n**5 + n**4 + 491624*n**3 - 626264064*n**2? 900*n**2 + 24*n + 2949744 Differentiate 3*d**2*w - 2*d*w**2 - 286128*d + 48*w**2 - 125*w - 435 with respect to d. 6*d*w - 2*w**2 - 286128 What is the second derivative of 15996234*i*o**3 + i*o**2 - 40*i*o + 3184*i - 22*o + 1 wrt o? 95977404*i*o + 2*i What is the third derivative of 51294352*c**3 + 301881*c**2 - 149*c wrt c? 307766112 Find the first derivative of -384876*c**4 + 2*c**3*q**2 + 2497856*q**2 wrt c. -1539504*c**3 + 6*c**2*q**2 What is the third derivative of 5*q**5 - 203*q**4 + 9116*q**3 + 12828125*q**2 wrt q? 300*q**2 - 4872*q + 54696 Find the third derivative of -l**2*n**3 - 31*l**2*n**2 - 2*l**2*n + 176*l**2 + 170282846*l*n**3 + 222*l*n**2 wrt n. -6*l**2
{ "pile_set_name": "DM Mathematics" }
45 Solve -40*p - 88*p = 96*p + 1602 + 4446 for p. -27 Solve 467*r = -115*r + 140*r + 11913 - 3957 for r. 18 Solve 1019*a - 237*a + 948*a - 2838 = -1108*a for a. 1 Solve -710*y - 1356660 + 1365180 = 0 for y. 12 Solve -1108 - 18868 - 14574 = 151*j + 540*j for j. -50 Solve 184*b + 5224275 = 5230347 for b. 33 Solve 5680*i - 1484*i = 453168 for i. 108 Solve -6784*c - 177808 + 661214 = -1543*c + 380*c for c. 86 Solve 162*v - 18534 = -8976 for v. 59 Solve 703*n = -75*n - 165*n - 7071 - 31592 for n. -41 Solve 17*j + 16*j = 82*j - 1225 for j. 25 Solve 117474*w + 4464 = 117330*w for w. -31 Solve 4671*u - 23014 = 9382 + 341284 for u. 80 Solve -86*j - 36*j - 181 - 2861 = 2448 for j. -45 Solve -1921422*a + 1921389*a = 2475 for a. -75 Solve 1895*n - 2953*n - 95220 = 0 for n. -90 Solve -2447*v - 13700 = 293*v for v. -5 Solve 2377 = -4147*k + 4017*k - 9713 for k. -93 Solve -3385*n - 71189 + 25904 = 22415 for n. -20 Solve 69*f + 94361 = 91532 for f. -41 Solve -4227 = -296*i - 1426 + 1343 for i. 14 Solve -751*d + 1520*d + 40757 = 0 for d. -53 Solve 0 = -3025*f + 99548 + 109177 for f. 69 Solve 97*p + 43*p - 68*p + 1584 = 0 for p. -22 Solve 3890*s = 2469*s - 6994*s - 5057*s + 1859136 for s. 138 Solve 31595 + 103696 + 286649 = 6205*z for z. 68 Solve -588*j = -726*j - 7439 - 6066 + 395 for j. -95 Solve -3807 = -2419*h - 15902 for h. -5 Solve 817 = 661*c + 703*c - 1407*c for c. -19 Solve 1094*r + 1446*r + 140049 - 35336 = 403*r for r. -49 Solve 104*h = 205*h - 201*h + 1694 + 306 for h. 20 Solve -453*x + 19000 = 262*x + 285*x for x. 19 Solve 238990*f = 238828*f + 10692 for f. 66 Solve -957 - 212 = 89*g + 4260 for g. -61 Solve -29010*n + 29036*n - 338 = 0 for n. 13 Solve -1243 - 5234 - 4323 = -316*w + 576 for w. 36 Solve -976426*r = -976472*r + 598 for r. 13 Solve -16*r = -7*r - 0*r - 6*r - 165 for r. 55 Solve 3342125*u = 3342316*u + 14905 - 3063 for u. -62 Solve -150*o - 4256 + 2464 = 6608 for o. -56 Solve -1390*w + 13145 = -4419 + 2274 for w. 11 Solve 0 = 4842*b - 13967*b - 45625 for b. -5 Solve 55 + 54 + 801 = 404*c - 706 for c. 4 Solve -387*g - 948764 + 925544 = 0 for g. -60 Solve 189*s + 622*s + 868 + 683 = 294*s for s. -3 Solve -3670812*m = -3670797*m for m. 0 Solve 1533*n - 878*n - 3582 = -1476*n - 203896 for n. -94 Solve -11942 = 182*o + 434 for o. -68 Solve 1877*w - 27072 - 42401 + 15040 = 0 for w. 29 Solve -1841*r + 873 = -1752*r - 4734 for r. 63 Solve 453*v + 9765 = -762*v + 27679 + 30686 for v. 40 Solve 271*f + 558*f - 652 = 293*f - 9228 for f. -16 Solve -106*p - 390*p - 35760 = 464*p - 215*p for p. -48 Solve -570*c - 3394 = 596 for c. -7 Solve -25*i = 21*i + 29 - 305 for i. 6 Solve -74*l - 26*l + 5298 = 498 for l. 48 Solve 47*g + 162*g + 131*g + g - 2387 = 0 for g. 7 Solve 2387*w + 11172*w + 1323092 = -3189*w for w. -79 Solve -7705*g - 26004 = -52425 - 125184 - 2495 for g. 20 Solve 28217 - 23216 = -1042*f - 55902 - 50591 for f. -107 Solve 29371 = 222*r + 37585 for r. -37 Solve -243*o = 10*o - 7*o + 145*o + 391 for o. -1 Solve 0 = -1014786*g + 1014896*g + 3300 for g. -30 Solve -591351 - 722604 = 10990*b - 324855 for b. -90 Solve 14112 + 24102 = 1737*q for q. 22 Solve -2024 = -711*z - 1446 + 1555 for z. 3 Solve 1088*s = -17096 - 77272 + 23648 for s. -65 Solve 14540 + 13300 = -1160*j for j. -24 Solve 273*v + 20163 = -139*v - 237*v + 220*v for v. -47 Solve -1639*u - 42915 = 43952 for u. -53 Solve -648*d - 12297 + 3372 - 18846 = 9813 for d. -58 Solve -78*h - 72303 = -74409 for h. 27 Solve 7013*a - 6881*a + 1716 = 0 for a. -13 Solve -895*f + 893*f - 75 = -17 for f. -29 Solve 815*t - 2225 = -2713*t - 1826*t - 285987 for t. -53 Solve 1782*x + 166 = 1914*x + 1090 for x. -7 Solve -6*v + 106*v + 10 = 1310 for v. 13 Solve 223*h + 937*h - 42864 = 201*h - 1627 for h. 43 Solve -2876 = -3929*d + 99278 for d. 26 Solve -51*r + 475 - 1126 = -30*r for r. -31 Solve 35*j = -163702 + 164752 for j. 30 Solve 34285 - 15124 = 1245*o - 21924 for o. 33 Solve 97*t + 362*t + 29510 = 5*t for t. -65 Solve -1005*x + 12137 + 4567 = -744*x for x. 64 Solve 1717*p + 3785 = -1439*p + 25877 for p. 7 Solve -29258 = -1223*v + 43590 - 15367 for v. 47 Solve 727*r + 5361 - 272 = 0 for r. -7 Solve 1838*z = 2070*z - 2320 for z. 10 Solve 43113085*q + 62640 = 43112621*q for q. -135 Solve 138*w - 2572 = 740 for w. 24 Solve 0 = -337*s - 1937*s + 15918 for s. 7 Solve -132*t + 80*t + 193 = 310 + 507 for t. -12 Solve -38*d = -126*d - 305*d - 41265 for d. -105 Solve -415*d - 478 - 700 = 7122 for d. -20 Solve -2126*j - 184773 + 38079 = 0 for j. -69 Solve 432 = -62*r - 1547 - 935 for r. -47 Solve -20260 = 18*a - 19990 for a. -15 Solve -614018*g = -613978*g - 120 for g. 3 Solve -66*h - 280 - 184 = 196 for h. -10 Solve 142*z = 2706*z + 69228 for z. -27 Solve -17217 = -122*a - 11849 for a. 44 Solve -12832*t - 158767 - 904169 = 4040*t for t. -63 Solve 565*w - 410*w = -399*w - 708*w + 103484 for w. 82 Solve 1134*l + 1066 = 1175*l for l. 26 Solve 0 = 18*d - 1547 + 737 for d. 45 Solve -46*t - 154 = -101*t + 286 for t. 8 Solve -1464*a - 23247 = -1177*a for a. -81 Solve 49*f + 57*f + 4633 = 1771 for f. -27 Solve -19*o - 8*o - 1452 = 39*o for o. -22 Solve 428*c + 9169 = 7406 - 23489 for c. -59 Solve 167*a - 45*a = 82*a - 960 for a. -24 Solve -4997*z + 4962*z - 315 = 0 for z. -9 Solve 73*k + 1407 - 2629 = 1771 for k. 41 Solve -2178*p - 1082*p - 29642 - 71418 = 0 for p. -31 Solve -74 - 125 - 108 = -22*s - 87 for s. 10 Solve 4099*k - 449610 = -2324*k for k. 70 Solve -24705 - 84522 = -2354*y + 17889 for y. 54 Solve 1004*i - 21573 - 3795 = -53*i for i. 24 Solve 199 - 89 = -84*u - 562 for u. -8 Solve 4039*p + 6189 = 4125*p + 1459 for p. 55 Solve 10600*i + 249938 - 125496 + 759699 = 2337*i for i. -107 Solve -3493 = 7*r - 76*r - 1147 for r. 34 Solve -112586 = 2470825*b - 2469452*b for b. -82 Solve 4725858*p - 4726268*p = 1640 for p. -4 Solve -17257*g + 35805 = -16606*g for g. 55 Solve 115*h + 274725 = 4217*h - 106761 for h. 93 Solve -56*h - 17975 = 379*h + 341*h + 5305 for h. -30 Solve 8*t - 117236 + 113914 = -143*t for t. 22 Solve -103*c - 2899 = -777 - 474 for c. -16 Solve -547*n + 378*n = -318*n + 5215 for n. 35 Solve 14*p - 141275849 + 141275583 = 0 for p. 19 Solve -12*s = 81*s + 6*s + 13*s + 2576 for s. -23 Solve 3609 = 264*n + 87*n - 62*n - 148 for n. 13 Solve -4177*o - 13513*o - 51657 - 72173 = 0 for o. -7 Solve 0 = 764*c - 102*c + 28153 + 313 for c. -43 Solve -337*j - 3440*j + 6249 = -12636 for j. 5 Solve 19143*y - 20314*y = 67918 for y. -58 Solve -982 + 5876 = -195*m - 5831 for m. -55 Solve -258*w - 1703 + 155 = 0 for w. -6 Solve -2145 = 260597*o - 260762*o for o. 13 Solve 2141 = -216*a - 1747 for a. -18 Solve -28*w = 529*w - 1243*w - 69997 + 168095 for w. 143 Solve -144*g - 258 = -148 - 254 for g. 1 Solve 593*v + 66716 = 2079 for v. -109 Solve -8684 = 21463*v - 21797*v for v. 26 Solve -199870 = 2832*o - 1015*o for o. -110 Solve -188*a + 271 + 158 = -532 + 21 for a. 5 Solve 593*u + 31564 = -1765*u + 708*u + 1864 for u. -18 Solve -215834*f + 215905*f = 2130 for f. 30 Solve 89166 = -351*c + 614*c + 895*c for c. 77 Solve -920*j - 15091 + 48006 - 158035 = 0 for j. -136 Solve 0 = -7213087*w + 7213135*w - 2832 for w. 59 Solve -141*z - 3978 = -493*z + 235*z for z. 34 Solve -3333*y + 5137*y - 464520 = -5938*y for y. 60 Solve 29*n - 1099 + 943 = 1004 for n. 40 Solve -5114*i + 142884 + 181744 = 35357 + 23343 for i. 52 Solve 8868 = -200*t - 106*t - 8574 for t. -57 Solve 38*p - 9867 + 237 = -92*p + 120 for p. 75 Solve 324*i - 85*i = 15*i - 15232 for i. -68 Solve -1936*f = -220378 + 222314 for f. -1 Solve 545*b = 150*b + 5386 - 15261 for b. -25 Solve 329981 + 47704 = -3597*u for u. -105 Solve -349*i = -381712 + 390786 for i. -26 Solve 0 = -48811*b + 48741*b - 140 for b. -2 Solve 0 = 202484*k - 202439*k + 1990 - 5680 for k. 82 Solve -359*o - 277*o - 180*o - 23859 = -93*o for o. -33 Solve 1026*r + 10020 = 1360*r for r. 30 Solve 0 = -568*z + 2925 - 30757 for z. -49 Solve 3454 = -104*m - 1448 + 326 for m. -44 Solve 211*t - 5117 - 6552 = -212*t + 598 for t. 29 Solve -618*v - 62600 = 2280*v + 465*v - 233*v for v. -20 Solve -79 = 28*h - 688 - 511 for h. 40 Solve -87*n + 450 - 1320 = 0 for n. -10 Solve -97*m = -202*m - 2835 for m. -27 Solve 479*u - 2575 + 56 = 784 + 50 for u. 7 Solve 272*a - 1791 + 14112 = -169*a + 108*a for a. -37 So
{ "pile_set_name": "DM Mathematics" }
*r**3 + 324 Collect the terms in -19 + 3 + 12 + 4 + 581*k**3. 581*k**3 Collect the terms in -8*y**2 + 8*y**2 - 192*y**3 + 93*y**3 + 95*y**3. -4*y**3 Collect the terms in w - 112*w**2 - 4*w - 3*w + 5*w. -112*w**2 - w Collect the terms in -69 - 65 - 368*b**2 + 134. -368*b**2 Collect the terms in -156*x**3 - 50*x**3 - 20*x**3 + 54*x**3. -172*x**3 Collect the terms in 1 - 11*t**2 + 84*t + 0 + 9 - 7*t**2. -18*t**2 + 84*t + 10 Collect the terms in r**3 - 3*r**3 - 193 - 42*r + 42*r. -2*r**3 - 193 Collect the terms in 10911073*j - 5*j**2 - 10911073*j. -5*j**2 Collect the terms in 131*b + 135*b + 120*b - 362*b. 24*b Collect the terms in -61*x + 4*x + 20*x - 5*x + 21*x. -21*x Collect the terms in 6*f**2 - 790*f - 787*f + 1577*f. 6*f**2 Collect the terms in -318*n - 898*n + 99*n + 64 + 15. -1117*n + 79 Collect the terms in 2 + 1 - 5 + 4 - 663*j**3 + 680*j**3. 17*j**3 + 2 Collect the terms in -s**2 + 5877*s - 4*s**3 + 4*s**3 + 0*s**3 - 2*s**3. -2*s**3 - s**2 + 5877*s Collect the terms in 21 + 0 - 5 - 7 + 127*x + 4. 127*x + 13 Collect the terms in 9*u**2 - 118*u**2 + 119*u**2. 10*u**2 Collect the terms in -15*q**3 - 8 + 10*q + 9*q - 3. -15*q**3 + 19*q - 11 Collect the terms in -16*y - 15*y**3 + 63*y - 47*y + 0*y. -15*y**3 Collect the terms in -162681 - 25*r + 162681 + r**3. r**3 - 25*r Collect the terms in -2*g**3 - 124*g + 325*g - 139*g. -2*g**3 + 62*g Collect the terms in 960*k - 1963*k + 964*k. -39*k Collect the terms in -286 + 186*l + 627 - 341 - 360*l + 175*l. l Collect the terms in 1188*y**2 - 2059*y**2 + 1074*y**2. 203*y**2 Collect the terms in -138*n + 3*n**3 + 168*n + 293*n - 30*n**3. -27*n**3 + 323*n Collect the terms in -57 - 1037*w**3 - 382*w**3 + 57. -1419*w**3 Collect the terms in 2*k**2 - 18*k**2 + 32 + k**2 - 22*k**2 - 38. -37*k**2 - 6 Collect the terms in 540*t**3 + 595*t**3 - 1689*t**3 + 557*t**3. 3*t**3 Collect the terms in 17*g**2 + 25484 - 25484. 17*g**2 Collect the terms in -45 + 291 - 86 - 79 - 81 + 3*j. 3*j Collect the terms in 166*c**3 - 2*c**2 + 212*c**3 - 6 + 4. 378*c**3 - 2*c**2 - 2 Collect the terms in 27*n**3 + 641*n**3 + 514*n**3 + 332*n**3. 1514*n**3 Collect the terms in 17 - 51 + n + 108 + 58. n + 132 Collect the terms in -278 - 351 + 629 + 2*m. 2*m Collect the terms in -575*y**3 + 1091*y**3 + 4*y - 4*y - 519*y**3. -3*y**3 Collect the terms in 1 - 1 + 7340*k**2 - 3414*k**2 - 3914*k**2. 12*k**2 Collect the terms in -13*y**2 + 91 - 12*y**2 - 23*y**2 + y**2 + 48*y**2. y**2 + 91 Collect the terms in 11*y**2 - 31 - 20981*y + 31 + 20981*y. 11*y**2 Collect the terms in -239*w + 228*w + 8*w. -3*w Collect the terms in -188 - 118 + 76 + j. j - 230 Collect the terms in 66*g**2 - 102*g**2 - 172*g**2. -208*g**2 Collect the terms in 2 + 1 + 34*a**3 - 1 - 2. 34*a**3 Collect the terms in -97*m**2 + 82*m**2 + 9*m**2. -6*m**2 Collect the terms in 3*g - 3*g + 93872*g**3 - 93844*g**3. 28*g**3 Collect the terms in 251 + 147*f - 71*f - 74*f - 251. 2*f Collect the terms in 12194 - 6*w - 12194 + 3*w - 37*w**2 + 3*w. -37*w**2 Collect the terms in -719*j + 2863*j - 725*j - 719*j - 699*j. j Collect the terms in 139*p**2 + 1 - 134*p**2 - 153*p - 365*p. 5*p**2 - 518*p + 1 Collect the terms in p - 14*p - 106 + 106 + p. -12*p Collect the terms in 246*o**3 - 271029*o + 271029*o. 246*o**3 Collect the terms in -66*j - 62*j - 102*j + 369*j - 68*j - 69*j. 2*j Collect the terms in 2*u**2 + 516*u - 261*u - 12*u**2 - 257*u - 5*u**2. -15*u**2 - 2*u Collect the terms in -1 - 1757*k - 1960*k + 1. -3717*k Collect the terms in -112*v**2 - 138*v**2 + 290*v**2. 40*v**2 Collect the terms in -175018*s + 58342*s + 58332*s + 58342*s. -2*s Collect the terms in 10*t + 10*t - 3*t - 6*t - 4*t + 9*t. 16*t Collect the terms in 3559*o**2 - 1189*o**2 - 1183*o**2 + 13*o**3 - 1187*o**2. 13*o**3 Collect the terms in -13*b**3 - 11*b - 15*b**3 - 12*b**3 - 8*b**3 + 58*b**3. 10*b**3 - 11*b Collect the terms in 52*w**2 + 44*w**2 + 44*w**2 + 83*w**2 + 47*w**2 - 265*w**2. 5*w**2 Collect the terms in 444*y + 704*y + 196*y - y**2. -y**2 + 1344*y Collect the terms in 2 + 23*o + 66462*o**2 - 66460*o**2 - 2. 2*o**2 + 23*o Collect the terms in -23*z**2 + 30*z**2 + 3*z**2 - 7*z**2. 3*z**2 Collect the terms in -6*j**3 - 4476924*j**2 + 4476924*j**2 - j**3 + 19*j**3 - 11*j**3. j**3 Collect the terms in 1956*j + 161*j - 91*j + 212*j. 2238*j Collect the terms in 52 + 50 - 2*w + 47 - 193 + 52. -2*w + 8 Collect the terms in -44271*u + 88544*u - 44265*u. 8*u Collect the terms in -10*i - 5*i + 16*i - 10*i. -9*i Collect the terms in -283 - 277 + 7*z + 1116 - 275 - 281. 7*z Collect the terms in 1783*j**3 - 3*j**2 + 406*j**3 + j**2 + 1647*j**3. 3836*j**3 - 2*j**2 Collect the terms in -15*x - 15*x - 33 + 50*x - 18*x. 2*x - 33 Collect the terms in 603*u + 630*u + 621*u - 3*u**2 - 1854*u. -3*u**2 Collect the terms in -26*t + 481 + 24*t + 58. -2*t + 539 Collect the terms in y**2 + 16*y**3 - 282*y**3 + 16*y**3 - y**2. -250*y**3 Collect the terms in -19*v + 15*v**3 - 15*v + 24*v - 14*v**3. v**3 - 10*v Collect the terms in 31*k**2 + 20*k**2 + 4710002*k - 4710002*k. 51*k**2 Collect the terms in -9191808*k - 4*k**2 + 3*k**2 + 9191808*k. -k**2 Collect the terms in -w**3 - 27*w**3 - 17*w**3 - 16*w**3 - 2*w + 0*w**3. -61*w**3 - 2*w Collect the terms in 116 + 112 + 138*z**3 - 340 + 113. 138*z**3 + 1 Collect the terms in 3288*t**2 - 819*t + 819*t + 6914*t**2. 10202*t**2 Collect the terms in -12*n**2 + 12*n**2 - 504*n**3 + 534*n**3. 30*n**3 Collect the terms in -33468*c**3 + 16737*c**3 + 16724*c**3. -7*c**3 Collect the terms in 27*m**3 + 663 - 29*m**3 - 218 - 224 - 221. -2*m**3 Collect the terms in -359*t**3 + 1504*t - 1504*t. -359*t**3 Collect the terms in -43*g + 135*g - 50*g - 48*g. -6*g Collect the terms in 339*b**2 - 96*b**2 - 7 + 384*b**2 + 0. 627*b**2 - 7 Collect the terms in 9*w + 12*w - 25*w + 1. -4*w + 1 Collect the terms in -120 + 145*v - 135*v + 231 - 111. 10*v Collect the terms in -3274*c**2 + 2094*c**2 + 1182*c**2. 2*c**2 Collect the terms in 32*k + 407*k**2 + 943*k**2 + 0 + 3 + 79*k**2. 1429*k**2 + 32*k + 3 Collect the terms in -366*f + 328*f - 617 + 619. -38*f + 2 Collect the terms in -4056*n + 18*n**3 + 8089*n - 4033*n. 18*n**3 Collect the terms in -69*q - 86*q - 14*q. -169*q Collect the terms in -10*b**3 + 22*b**3 - 34*b**3 - 8*b**3. -30*b**3 Collect the terms in -350 - 316 - 4*h**3 + 666 + 6*h**3. 2*h**3 Collect the terms in -9607 - 26*h**2 + 9607. -26*h**2 Collect the terms in 18*f**3 - f**3 - 109*f - 84*f + 193*f. 17*f**3 Collect the terms in -68756970692 - 5*r**2 + 68756970692. -5*r**2 Collect the terms in -21823*w**2 - 28*w**3 - 21845*w**2 + 43668*w**2. -28*w**3 Collect the terms in -158*v + 5*v**2 + 79*v + 88*v. 5*v**2 + 9*v Collect the terms in 753*p**3 + 13*p - 5*p - 8*p. 753*p**3 Collect the terms in a**3 - a**3 + 55*a**2 + 59*a + a**3. a**3 + 55*a**2 + 59*a Collect the terms in 56 - 133*f**2 + 148*f**2 + 35 - 91. 15*f**2 Collect the terms in -57*j**3 + 28*j**3 + 26*j**3 + 17*j**3. 14*j**3 Collect the terms in -829*x + 403*x + 422*x + 2 - 2. -4*x Collect the terms in 46*u**3 + 24*u**3 - 41*u**3. 29*u**3 Collect the terms in 24*b**2 - 10 + 19 - 9. 24*b**2 Collect the terms in -7 + 11 - 2 + 23*u + 8 - 7. 23*u + 3 Collect the terms in -11310 - 53*s**2 - 182*s**2 + 11310. -235*s**2 Collect the terms in -81*s**2 + 139*s**2 + 196*s**2. 254*s**2 Collect the terms in -3*h**2 + 4*h**2 + 0*h**2 - 13*h**2 + 5. -12*h**2 + 5 Collect the terms in -39 - 49 + 5*x**2 + 143 - 55. 5*x**2 Collect the terms in -2189*p**2 - 2242*p**2 + 4430*p**2. -p**2 Collect the terms in 7*w**2 - 283*w + w**2 + 17*w - 2. 8*w**2 - 266*w - 2 Collect the terms in -12694*c + 6315*c - 5*c**3 + 6379*c. -5*c**3 Collect the terms in -23 - 28*q - 22 - 138. -28*q - 183 Collect the terms in 5*n**2 + 3*n**2 - 2*n**2 - 3*n**2. 3*n**2 Collect the terms in -560*m**2 + 198*m**2 - 119*m**2. -481*m**2 Collect the terms in 25*q**2 + 62 - 16*q**2 - 15*q**2 - 39 - 40. -6*q**2 - 17 Collect the terms in 133 + 5*f**3 - 68 - 65 - 12*f**3. -7*f**3 Collect the terms in 7907021*p - 7907021*p + 1 - 33*p**2. -33*p**2 + 1 Collect the terms in 2*c**2 - 299410048*c**3 - 2*c**2 + 299410050*c**3. 2*c**3 Collect the terms in -10*a**3 + 0*a**2 + 23*a**3 - 15*a**3 + 0*a**2 + 3*a**3. a**3 Collect the terms in -88*x**3 - 1435*x**2 + 1926*x**2 - 491*x**2 - 1. -88*x**3
{ "pile_set_name": "DM Mathematics" }
z. -4*f**3*z + 804*f**2*z**3 Find the first derivative of 2*b*i*j*x - b*i*j - 2*b*i*x + 2*b*j - i*x + 12*i - 12*j*x wrt x. 2*b*i*j - 2*b*i - i - 12*j Find the first derivative of -j**2 + 3*j + 1 wrt j. -2*j + 3 Differentiate -2*l*p**3*u**2 + 5008*l*p**3*u - 12*p**3*u**2 - 2*p**3*u - 24*p**2*u with respect to l. -2*p**3*u**2 + 5008*p**3*u Find the second derivative of 3*a*q**2*t**2 - 3*a*q*t**2 + 2*a*q*t - 37*a*q + q**3*t - 11*q**2*t**2 wrt q. 6*a*t**2 + 6*q*t - 22*t**2 What is the second derivative of -2*k*p**2 - k - 160*p**2 + 25*p wrt p? -4*k - 320 Find the second derivative of -228*h**3*o**2 + 86*h**3*o + 2*h**2*o + h*o - 9*o**5 + 2*o wrt o. -456*h**3 - 180*o**3 What is the first derivative of b**4*j - 17*b**4 - 2*b**2*j**2 - 28*j**2 - 7*j wrt b? 4*b**3*j - 68*b**3 - 4*b*j**2 What is the third derivative of -3803*q**5 + 2*q**2 - 1615 wrt q? -228180*q**2 What is the first derivative of -544*a**2*k - 595*a**2 wrt k? -544*a**2 Differentiate -5*c**2 + 17*c + 1074. -10*c + 17 Find the third derivative of 15*a**4*k**2 - 44*a**3*y - 14*a**2*k**2*y + 2*a**2*k - 22*a**2*y wrt a. 360*a*k**2 - 264*y Find the first derivative of -1101*j**2*m**2 + 1369*m**2 wrt j. -2202*j*m**2 Find the third derivative of -o**3*s**4 - 9*o**3*s**2 + o*s**3 - 9*o*s**2 + 15*s**4 wrt s. -24*o**3*s + 6*o + 360*s What is the first derivative of -6*n**4 - 2*n*p**2*v - 3*n*p**2 + 14*p**2*v - 4*v wrt n? -24*n**3 - 2*p**2*v - 3*p**2 What is the derivative of -11*h*i*l + h*l**2 + 6*h*l - 3*i*l**2 + 3*i*l + 4*i + 134*l wrt i? -11*h*l - 3*l**2 + 3*l + 4 Find the second derivative of 895*h**3*t**2*z**2 + 7*h**3*z**2 - 5*h*t**2*z + h*t**2 - 60*t**2*z + 5*t*z**2 wrt h. 5370*h*t**2*z**2 + 42*h*z**2 What is the second derivative of 7739*j**3 + 8860*j? 46434*j What is the second derivative of -10717*d**5 - 1907*d wrt d? -214340*d**3 Differentiate 656*r**4 + 35 with respect to r. 2624*r**3 What is the third derivative of -2*f**3*p**3 - 2*f**3*p**2 + 24*f**3*p + 70*f*p**4 - 2*f*p**3 + 4 wrt p? -12*f**3 + 1680*f*p - 12*f Find the third derivative of 448*h**5 + 2*h**4 + h**3 - 3*h**2 + 7. 26880*h**2 + 48*h + 6 What is the second derivative of 1670*r**5 - 2291*r wrt r? 33400*r**3 What is the derivative of 6*m*n**2 + 412*m*n + 286*m + 3 wrt n? 12*m*n + 412*m Find the second derivative of 159*h**3*y**2 - 4*h**3 - h*y**4 - 2*h*y + 6*y wrt y. 318*h**3 - 12*h*y**2 What is the third derivative of -3*g**4 - 15*g**3*i*w + 3*g**3*i + 2*g**2*i - 30*i + 12*w wrt g? -72*g - 90*i*w + 18*i Find the second derivative of 56*z**4 + 20*z**2 - 8860*z. 672*z**2 + 40 Differentiate 2*g**3*m**2 + 12*g**3*m - 3*g**3 + 4*g*m**2 - 7*g wrt m. 4*g**3*m + 12*g**3 + 8*g*m Find the third derivative of -222*j**3*k - 9*j**2 + 9*k + 1 wrt j. -1332*k What is the third derivative of -232*w**5 + 6*w**4 - 1164*w**2 - 3 wrt w? -13920*w**2 + 144*w What is the third derivative of -2560*p*q**4 - 2*p*q**2 - p*q - 5*p + 24*q**2 wrt q? -61440*p*q Find the second derivative of -a**3*x - 67*a**3 - a**2*x - 12*a*x - 16*a wrt a. -6*a*x - 402*a - 2*x Find the second derivative of 3981*y**5 - 3326*y wrt y. 79620*y**3 Differentiate u**3 - u**2 - 2300*u - 6288 with respect to u. 3*u**2 - 2*u - 2300 Find the third derivative of -87*f**2*i**3 + f**2*i**2 - f**2*i - 9*f*i**2 wrt i. -522*f**2 Find the third derivative of 201*h**6 + 2289*h**2 - 2*h. 24120*h**3 What is the second derivative of 220*h**3*r + h**2*r**2 - 3*h*r - 19*r**2 + r wrt h? 1320*h*r + 2*r**2 Find the third derivative of 527*o**5 - 5*o**2 - 18 wrt o. 31620*o**2 Differentiate -1635*w**3*x**2 - 2*w**3 - 148*w**2 with respect to x. -3270*w**3*x What is the second derivative of -2*r*y**2 + r*y - 74*y**3 - 2*y - 18 wrt y? -4*r - 444*y What is the third derivative of -289*r**5 - 42*r**2 - 2 wrt r? -17340*r**2 What is the first derivative of -3*q*u**2 + 43*q + 61*u**2 + 4 wrt q? -3*u**2 + 43 What is the second derivative of -m**2*y**2 + 14*m**2 - 2*m*y - 3*y**2 - 33 wrt m? -2*y**2 + 28 What is the third derivative of 2*f**2*k**2 - 1515*f**2*w**3 + 2*f**2*w**2 - 7*f*k**2*w**3 + 10*f*k - 24*k**2*w**2 + 2*k*w wrt w? -9090*f**2 - 42*f*k**2 What is the third derivative of 2*l**5 - 34*l**4*y + l**3*y - 3*l**2*y - 62*l*y wrt l? 120*l**2 - 816*l*y + 6*y Find the third derivative of -245*i**4 - 4*i**3*v - 81*i**2 + 10*v wrt i. -5880*i - 24*v Find the third derivative of -258*j**4 + 3*j**3*x + 2*j**2*x - 306*x wrt j. -6192*j + 18*x Find the third derivative of 111*w**3 + 1830*w**2 wrt w. 666 What is the second derivative of -9927*g**2 - g + 375 wrt g? -19854 What is the first derivative of -38*w**4 - 10*w**3 - 3*w**2 - 7942? -152*w**3 - 30*w**2 - 6*w Find the first derivative of 2*g**3*v - 383*g**3 + v - 191 wrt g. 6*g**2*v - 1149*g**2 Differentiate -4*b*l**3 - 12*b*l + 58*b + 1 with respect to l. -12*b*l**2 - 12*b What is the third derivative of -1687*v**6 + v**3*z - v**2 + 5*v*z - 20*z + 10 wrt v? -202440*v**3 + 6*z What is the third derivative of 21*u**6 - 12*u**3 - 17*u**2 - 6*u - 5? 2520*u**3 - 72 Find the second derivative of -2*j**3*p**5 - 153*j**3*p + 20*j**2*p**5 wrt p. -40*j**3*p**3 + 400*j**2*p**3 Find the second derivative of 4255*n**2 - 3*n + 596. 8510 Differentiate c*w**3 - 8016*c*w**2 + 4*w**3 + 431*w**2 + 2 with respect to c. w**3 - 8016*w**2 Find the first derivative of 3410*b + 4696. 3410 What is the second derivative of -r**3*t + 79*r**2*t**2 + 94*r*t**2 + r wrt r? -6*r*t + 158*t**2 Find the third derivative of 7*m**3*y**3 + 502*m**3 + 423*m**2*y**5 - 2*m**2*y - 2*y**2 + y wrt y. 42*m**3 + 25380*m**2*y**2 Find the first derivative of 3505*d**2 - 1812. 7010*d Differentiate 483*m*t**2 - 2*m*t - 1145*m wrt t. 966*m*t - 2*m What is the derivative of 1605*l**2*v**3 - l**2 + 845*l wrt v? 4815*l**2*v**2 Find the second derivative of -2*u**3 - 43*u**2 - 16*u - 2. -12*u - 86 What is the third derivative of -108*a**3 - 179*a**2 + 1 wrt a? -648 Find the first derivative of 4*f**2 + 463*f - 6513 wrt f. 8*f + 463 Differentiate 9*c**2 - 93*c + 2462 with respect to c. 18*c - 93 What is the second derivative of 4104*h**2 - 396*h + 1? 8208 Find the third derivative of -2*a**5 + 228*a**3 + 131*a**2. -120*a**2 + 1368 Find the third derivative of -672*p**3 + 253*p**2 wrt p. -4032 Find the third derivative of 3*a**5 - 2*a**4*o - 176*a**4 - 1336*a**2*o - 2*o wrt a. 180*a**2 - 48*a*o - 4224*a Differentiate 2*a*g*h**2 + a*g*h*n - a*h**2*n + 5*a*h*n - g*h**2 + g*n - 5*h**2*n wrt g. 2*a*h**2 + a*h*n - h**2 + n What is the second derivative of f**2*g**3 + f**2*g + f**2 - f*g**2 + 18*g**3 wrt g? 6*f**2*g - 2*f + 108*g Differentiate -3*d**2*f**2 + 19*d**2*f - 2*d**2 - 67*d + 2*f**2 - 3*f - 33 wrt f. -6*d**2*f + 19*d**2 + 4*f - 3 What is the second derivative of -1236*d**3 - d**2 - 10528*d wrt d? -7416*d - 2 What is the second derivative of 10*v**4 - 2*v**3 - 9*v + 2 wrt v? 120*v**2 - 12*v What is the second derivative of -7*d**3*g**3 - 290*d**3*g**2 - d**3*g - 2*d**3 + 3090*d**2 wrt g? -42*d**3*g - 580*d**3 Find the second derivative of 3*h**3*k**2*x + 12*h**3*k*x**2 - 3*h**2*k*x**2 + 2*h*k*x**2 - 2*k**2*x**2 - 7*k**2 wrt k. 6*h**3*x - 4*x**2 - 14 What is the second derivative of 559*c**3 + c**2*n + c*n - 8*c + n wrt c? 3354*c + 2*n Differentiate 243*y**3 - 2*y - 1923. 729*y**2 - 2 Find the first derivative of 367*v + 13. 367 What is the third derivative of 2146*n**4 + 2185*n**2? 51504*n Find the third derivative of 1614*k**5 + 48*k**2 + 6*k wrt k. 96840*k**2 What is the second derivative of -15*l*n**3 - 47*l*n**2 + l*s**2 - n**3*s**3 - 2115*n**3*s**2 - n**3 + n*s wrt s? 2*l - 6*n**3*s - 4230*n**3 What is the third derivative of -208*h**3 + 292*h**2? -1248 What is the second derivative of 250*c**3*p**2 + 15*c**2*p**3 - 2*c*p**2 + 2*c + 225*p**3 - 5*p**2 wrt c? 1500*c*p**2 + 30*p**3 What is the third derivative of -10298*r**4*v**2 - 4*r**2*v**2 + 25*r + v**2 - 2 wrt r? -247152*r*v**2 What is the second derivative of -2*d**3*f**3 - 33*d**3*f + 2*d**2*f - 10254*d*f**4 + 6*d*f wrt f? -12*d**3*f - 123048*d*f**2 Find the first derivative of -5*a**2*v**2 - 2*a*r*v**3 - r - 12*v**3 - 1 wrt a. -10*a*v**2 - 2*r*v**3 Find the second derivative of -97*w*z**3 + 112*w*z + w wrt z. -582*w*z What is the second derivative of -8*g**2*s*w + g**2*s - 5*g**2*w + g*s*w - g*s - 2*g - s wrt g? -16*s*w + 2*s - 10*w What is the
{ "pile_set_name": "DM Mathematics" }
11*y + 2*y**2 + 108 + y**2 - 2*y**2. Calculate c(10). 0 Suppose -2*t + 2*c = -10, -2*c - 24 + 8 = -3*t. Let v(x) = 2*x - 2. What is v(t)? 10 Let f(v) be the second derivative of -7*v**3/6 - v**2 + 21*v - 14. Suppose 0*j - 11 = -3*i - j, -5*i + 4*j = 10. Calculate f(i). -16 Let y = -9 - -9. Let x be ((-10)/4 - -2)*-14. Suppose 3*s = -q + 1 + 4, y = 5*s + q - x. Let n(d) = -3*d - 1. Give n(s). -4 Suppose -163 = -g - 5*a, -a = -3 - 0. Let d = g + -138. Let b(z) = -z**3 + 11*z**2 - 9*z - 7. Determine b(d). 3 Let r be (-28)/(-5) + 10/25 + -4. Let j(a) = 3*a**3 + a**2 - 2*a - 1. What is j(r)? 23 Suppose 2*f + 1 = -4*x - 1, 4*f + 14 = -3*x. Let h(l) be the first derivative of -l**3/3 - 5*l**2/2 + 2*l - 2. Calculate h(f). 2 Let q(n) = 2*n**2 - 6*n + 4. Let x be q(4). Let g(w) be the first derivative of w**2/2 - 6*w + 338. Determine g(x). 6 Let i be 350/20*4/14. Let s(n) = 6*n - 15. Calculate s(i). 15 Let t(z) = -2*z**3 - 5*z**2 + 3. Let k(b) = b + b**3 + 5 + b**2 - 9*b**2 - 2*b**2 - 4*b**3. Let w(d) = 3*k(d) - 5*t(d). What is w(4)? -4 Let m(g) = -2*g**2 - 3*g + 12. Let v be m(-4). Let u(o) = o**2 + 8*o + 7. What is u(v)? 7 Suppose -t = -7 + 2. Let m(d) = -80*d - 91*d - t - d**2 + 177*d. What is m(4)? 3 Suppose -420 + 450 = -10*c. Let m(i) = 1 + 3 + i**2 - i + 6*i. What is m(c)? -2 Suppose 3*h = 2*x + 40, 2*h + 5 = -x + 34. Let w(b) = -b**2 + 14*b + 19. Determine w(h). 19 Let v(j) = 6*j - 5. Let q(t) = -9*t + 1. Let b be q(0). Let k(w) = -1. Let h(p) = b*v(p) - 4*k(p). Determine h(1). 5 Let t(g) = 80 + 76 - 163 + g**2 - 6*g. Calculate t(6). -7 Let h(j) = -14*j**2 + 3*j - 1. Suppose 3*m + 3*s = 9, -5*s + 12 = 2. Calculate h(m). -12 Let j(s) = s**3 - 5*s**2 - 3*s. Let o = 24 + -19. Let i = -1 + o. Suppose t = -4*v + 1, i + 4 = 2*t + 2*v. Calculate j(t). -15 Let x(w) = 16*w. Let f(r) = r. Let g(n) = -28*f(n) + 2*x(n). Calculate g(3). 12 Let p(r) = -r**2 + 40*r - 390. Let v be p(23). Suppose -3*u - 9 = g, 5*g - 15 = 4*u + u. Let q(w) = 4 + g*w + w - 5 - 2*w. Give q(v). -2 Let h(y) be the second derivative of y**4/4 + y**3/3 - y + 36. Calculate h(-2). 8 Let j(x) = 6*x**3 + x. Let k(d) be the first derivative of -15*d + 1/2*d**2 - 6. Let g be k(14). Give j(g). -7 Let n(g) = -g**3 - 5*g**2 - g + 3. Suppose 41 = 2*j - 19. Let t = j + -35. Calculate n(t). 8 Let n(u) be the second derivative of 1/2*u**2 - 1/12*u**4 - 2/3*u**3 + 0 + 3*u. Let p(j) be the first derivative of n(j). What is p(-5)? 6 Let h(r) = r**3 - 11*r**2 + r - 6. Let z = 57 + -46. What is h(z)? 5 Let r(d) be the first derivative of -d**4/4 - 8*d**3/3 - 9*d**2/2 - 3*d - 406. Calculate r(-6). -21 Let z(m) = m**3 + 3*m**2 - 2*m + 4. Let k(q) = q**3 + 7*q**2 + 9*q + 14. Let h be k(-6). Determine z(h). -4 Let o(h) = 97*h + 7 - 206*h + 108*h. Suppose 0 = -4*p + 7 + 1. Suppose 0 = -w - 5*a, w = -p*w - 2*a. What is o(w)? 7 Let s(t) be the first derivative of -t**3/3 + 5*t**2/2 - t - 4. Let z be ((-3)/(-9))/(2/18). Suppose 0 = -4*b + z*k + 3, k = 3*b - 6*b + 12. What is s(b)? 5 Let r(b) = -7*b**3 + 3*b**2 + 6*b + 2. Let t(v) = 7*v**3 - 4*v**2 - 7*v - 1. Let m(n) = -3*r(n) - 2*t(n). Let u be m(-1). Let j(w) = w**2 + 7*w - 7. Give j(u). 1 Let x(c) be the third derivative of 11*c**2 + 0*c**3 + 0*c + 0 + 1/12*c**4. What is x(2)? 4 Let z(c) = c**2 - 8*c + 14. Let u be z(3). Let x(v) = 30*v**2 - 2*v - 1. Determine x(u). 31 Suppose 0 = p - 1 - 3. Let y(v) = 91*v**2 - v + v**3 - 185*v**2 + 3 + 90*v**2. Calculate y(p). -1 Let w(q) = q**2 - q + 1. Let r = 12 - 6. Suppose 5*a - r*a - 3 = 0. Let h = 5 + a. Give w(h). 3 Let l(h) = 3*h**3 + 3*h**2 - h. Let b be l(-4). Let u = 143 + b. Let z(t) = 3*t + 1. Let s(f) = -3*f - 1. Let v(g) = -3*s(g) - 4*z(g). Calculate v(u). -10 Let v = 31 - 26. Suppose -2*u - u - 1 = -5*m, 0 = -v*m - 5. Let p(t) = t + 2. What is p(u)? 0 Let d(w) be the second derivative of -w**4/12 - 5*w**3/3 - 2*w**2 + w. Let z be d(-9). Let f(v) = -v**2 + 5*v - 1 - z*v + 2*v**2 - 3*v. What is f(5)? 9 Let u(k) be the first derivative of 2*k**2 - 3*k - 8. Let v(j) = j**3 - 2*j**2 + 1. Let r be v(2). Let m be u(r). Let h(n) = -8*n + 1. Determine h(m). -7 Let w(q) = q**2 + 3*q + 6. Let z = 1971 - 1974. Determine w(z). 6 Let v = 35 - 20. Suppose -2*o = v + 17. Let p = o + 22. Let i(q) = q**2 - 6*q - 3. Calculate i(p). -3 Let n(t) = 3*t**2 - 17*t + 20. Let z be n(6). Let k(l) = -z + l + 13 - 4*l + 11. Give k(5). -17 Let y(l) = 5*l - 116. Let d be y(24). Let j(f) = 6*f - 15. Give j(d). 9 Let c = 6 + -9. Let d be c - (-3)/((-6)/(-10)). Let o(i) = -10*i**2 - i - 3. Let q(l) = -9*l**2 - l - 2. Let w(g) = d*o(g) - 3*q(g). Determine w(-1). 6 Let x(q) = 22*q**3 - 2*q + 1. Let y be x(1). Let z = y + -15. Let o(c) = -4 - 5*c + z*c + 0*c. Determine o(0). -4 Suppose 0*q = -3*q + q. Suppose -n + 7 = 2*u, q*u + 4*n - 3 = -3*u. Let x(s) = -4*s + 8. Let y(f) = -7*f + 15. Let w(d) = 5*x(d) - 3*y(d). Give w(u). 0 Let g be 2/(-9) - ((-1748)/171)/1. Let n(y) = -2*y + 9. Give n(g). -11 Let c be (0 + -5 + 4)*-2. Let f(p) be the first derivative of -p**2 - 2*p - 25. Give f(c). -6 Suppose -5 = -m - 3*w + 2*w, -4*w = -12. Let j(a) = -2*a + 1 - 4 + a**m + 10*a - 2. What is j(-8)? -5 Let w(t) = t**2 + 5*t - 3. Let i be -2 - 12/(-4 - 0). Let p = -4 + i. Let q = p + -2. Give w(q). -3 Let v(j) be the first derivative of -15*j**2/2 + 2*j + 831. Give v(-4). 62 Let c(g) = g**3 + 2*g**2. Suppose 0 = -k - k. Suppose -3*f - 9 - 3 = k. Let u(y) = 2*y + 6. Let a be u(f). Calculate c(a). 0 Let q(l) = 3*l. Suppose -2*r = 4*i - 10, -23*r - 2*i = -27*r - 10. What is q(r)? -3 Let a(z) = -z - 1. Suppose 0 = -3*s - 5 - 4. Let d be a(s). Let i(y) = 2*y**3 - 2*y**2 + 3*y - 2. Calculate i(d). 12 Let b be 1/(-2)*0/(20 - 11). Let j(t) be the second derivative of -4*t + 1/12*t**4 + 0 + b*t**3 + t**2. Determine j(0). 2 Let v(q) = -92*q**3 + 5*q**2 - 14*q - 7. Let p(o) = -46*o**3 + 3*o**2 - 8*o - 4. Let t(b) = 7*p(b) - 4*v(b). What is t(-1)? -45 Let s(y) = -2 - 6*y - y + 2*y - 4*y - 79*y**2 + 80*y**2. What is s(8)? -10 Let d(z) = -4*z**2 + 8*z + 5. Let x = 16 - 27. Let a(s) = -2*s**2 + 4*s + 2. Let k(h) = x*a(h) + 6*d(h). Let l(p) be the first derivative of k(p). Give l(4). -12 Let u(w) = 4*w - 3. Let t(l) = -l - 1. Let c(g) = -5*t(g) - u(g). Determine c(6). 14 Let c(l) be the second derivative of -2*l + 1/6*l**3 + 0 - 1/20*l**5 - 1/12*l**4 - l**2. Give c(-2). 0 Let z(q) = q**3 + 2*q**2 - 2*q. Suppose 0*a - 16 = -a. Let w be a/72 + (-65)/9. Let p = w - -4. Give z(p). -3 Let h(s) = -2*s - 2*s**2 + 5 - 6 + 0*s - 2*s**2 + 4*s. Calculate h(2). -13 Suppose 0 = -k + y - 22, -5*k - 3*y - 597 = -503. Let t(d) = d**2 + 21*d + 19. What is t(k)? -1 Let s be (-407)/(-77) - 7 - (-6)/(-21). Let c(r) = 10*r**2 + 2*r. Calculate c(s). 36 Let n = 26 - 36. Let f be (-8)/(-3)*(-45)/n. Suppose 4*c + f = 0, -u = 3*u + c + 11. Let w(d) = -2*d**2 + 2*d. What is w(u)? -12 Let h(t) = t**3 - 18*t**2 + 2*t + 1. Let q(y) = y**2 + 32*y + 270. Let x be q(-18). What is h(x)? 37 Let i(h) be the first derivative of h**4/4 + 7*h**3/3 + 7*h**2/2 + 3*h + 23. Suppose -3*m - 27 = 5*g, 4*g - 5*m = 8 - 37. Give i(g). -3 Suppose -2*t - 8 = 0, -2*z + 3*t - 4*t = 2. Let w = z - 2. Let u be -4 - w - -8 - -1. Let n(q) = q**3 - 6*q**2 - q + 7. Determine n(u). 1 Let w be (3 + -11 - -11) + 0 + 2. Suppose -5*t + 15 - w = 0. Let z(r) = -3*r. Calculate z(t). -6 Let h(p) = -19*p**2 + 47*p - 5. Let t(q) = -7*q**2 + 17*q - 2. Let g(j) = 4*h(j) - 11*t(j). Calculate g(-2). 4 Let z(s) be the second derivative of s**3/3 + 8*s**2 - 2*s - 10. Determine z(-11). -6 Let n(o) = o**3 - o**2 - o - 2. Let w(k) = -6*k**3 + 5*k**2 + 5*k + 16. Let u(p) = -5*n(p) - w(p). What is u(0)? -6 Suppose -3*k + 63 = 6*k. Let m(f) = -14 + k*f + f - 7*f. Calculate m(11). -3 Let u(w) = 7*w**3 + 15*w**2 - 5*w. Let f(c) = -4*c**3 - 8*c**2 + 3*c. Let z(j) = -5*f(j) - 3*u(j). Let k = 138 - 143. Give z(k). 0 Let b(y) = -y - 7. Let j be b(-7). Let n be (j + 17)/(-3 - -4). Suppose 4*g = 4*u - n - 11, -u = 5*g + 17. Let x(t) = -t**3 + 3*t**2 - 2*t - 3. Determine x(u). -9 Let l(f) = -13*f**3 + f**2 + f + 3. Let k(w) = -w**3 + 1. Let a(h) = 4*k(h) - l(h). Give a(1). 8 Suppose -k - k - 4 = 4*q, q = -5*k + 17. Let v(m) = -3*m**3 + 7*m**2 - 4. Let o(g) = 2*g**3 - 2*g**2 - 2*g - 1. Let p(t) = o(t) + v(t). Determine p(k). 3 Let a(t) be the second derivat
{ "pile_set_name": "DM Mathematics" }
o be x(9). Calculate the highest common factor of o and 5. 5 Let f(i) = i**3 + 2*i**2. Suppose 4 = -a - 2*a + 5*t, 4*t = 4*a. Let w be f(a). What is the greatest common divisor of w and 40? 8 Let t be (-3)/(2 - 219/111). Let p = t - -161. Suppose -5*w + p = 2*q, 0 = -2*w + 5*w - 4*q - 56. Calculate the greatest common divisor of 30 and w. 6 Let q(f) = f**2 - 4*f + 6. Let s be q(4). Let n = -14 + 10. Let i(p) = p**2 - 3*p - 4. Let m be i(n). Calculate the greatest common factor of m and s. 6 Let v(w) = -w**2 + 6*w + 14. Let a be v(7). What is the greatest common divisor of 63 and a? 7 Suppose -s + 308 = s. Calculate the greatest common divisor of s and 14. 14 Suppose 0 = 4*x - 23 - 185. Suppose -z + 5*z - 142 = -5*d, 4*z = -2*d + x. Suppose g = -3*g + 24. What is the highest common factor of d and g? 6 Suppose 4*d - 4 = -5*z, 2 = 4*d - 2. Suppose z = 4*h - 5*f - 47, 2*h + 4*f - 7 = -3. Calculate the highest common factor of 16 and h. 8 Let t be (-3 + -2*(-19)/4)*8. What is the greatest common divisor of t and 208? 52 Let d = 1382 - 660. Let g = d + -480. Calculate the greatest common factor of g and 22. 22 Let y be ((-3*8)/(-4))/1. What is the greatest common divisor of y and 66? 6 Let i(k) = k - 5*k - 9 + 1 + k. Let n be i(-4). What is the highest common divisor of 32 and n? 4 Let y be (132/(-2))/2*38/(-57). What is the greatest common divisor of y and 88? 22 Let f be -3 + 2/(-1) + 1. Let y = 2 + f. Let r be 24/y*4/(-6). Calculate the highest common factor of r and 80. 8 Suppose 4*b - 19 = -3*z + 8*b, -2*z + 5*b + 1 = 0. Let u = z + 43. Let h(p) = 2*p. Let c be h(4). What is the greatest common divisor of u and c? 8 Suppose -u + 2 = m, 0 = -6*u + 3*u - 5*m + 6. What is the highest common factor of u and 14? 2 Let c = 68 - 47. Let g be 105/33 + (-2)/11. Calculate the greatest common factor of g and c. 3 Let w = 168 - 83. Calculate the greatest common divisor of 17 and w. 17 Let c(j) = 11*j + 1. Let h be c(1). Calculate the highest common factor of h and 96. 12 Let b be (22/6)/((-1)/(-15)). Let a(i) = i**3 + 12*i**2 - 2*i + 3. Let m be a(-9). Let l be (1/2)/(6/m). Calculate the greatest common factor of b and l. 11 Suppose -2*x - 3*x = -25. What is the greatest common divisor of 2 and x? 1 Let d(o) = -o**3 - 4*o**2 + 5*o + 3. Let n = 8 + -4. Let y be d(n). Let l = y + 155. Calculate the highest common divisor of 25 and l. 25 Suppose 0 = -4*f + 2 + 6. Let z = -5 - -5. Suppose -4*p + 5 - 1 = z. Calculate the highest common factor of p and f. 1 Suppose -5*f - 4*r + 1920 = 0, 3*f - 1536 = -f + 5*r. Suppose -7*j + 4*j = -o + 68, -5*o + f = -4*j. What is the greatest common factor of o and 10? 10 Let b(p) = p**2 + 13*p - 34. Let y be b(-16). Let n(g) = -22*g + 7. Let a be n(6). Let x = a - -181. Calculate the highest common factor of y and x. 14 Suppose -23 - 48 = -5*u - 3*q, 2*u = 4*q + 44. Let k be 3/2*u + 2. Calculate the highest common divisor of k and 208. 26 Suppose 29*a + 225 = 1791. Suppose -5*h - 1 = -4*b - 0, 0 = -2*b - 4*h + 20. Suppose -b*q + 3*q + 6 = 0. What is the greatest common factor of a and q? 6 Let n be 4/(-6) + 200/3. Calculate the highest common factor of n and 132. 66 Let w be (-2)/(-1*2 - -4). Let o(d) = d + 1. Let m(i) = 11*i + 8. Let j(y) = w*m(y) + 6*o(y). Let q be j(-4). What is the highest common factor of q and 2? 2 Let o be 3147/15 + 1/5. Let t = 44 - 23. What is the greatest common divisor of t and o? 21 Let o be 2/(-5) - (-3240)/100. What is the greatest common factor of 8 and o? 8 Suppose 3*z = 3*l - 9, 3*l = -3*z + 4 - 1. Let v be 1*1*88/l. Calculate the highest common divisor of 11 and v. 11 Let d(s) = s**3 + 20*s**2 - 23*s - 6. Let y be d(-21). What is the greatest common factor of 12 and y? 12 Suppose 2*d - 6*d = 8. Let l be -4*d/(24/3). Calculate the highest common factor of l and 1. 1 Let s be -3 + 1 - 10/(-1). Let k = s - -22. Calculate the greatest common divisor of 20 and k. 10 Let x = 36 - 26. Suppose -k + 3 = 0, 3 = 2*r + 3*k - x. Calculate the greatest common factor of 22 and r. 2 Let n(l) = -l**3 + 8*l**2 + 2*l - 11. Let c be n(8). Suppose r + 3*r = -c*h + 69, 2*r + h = 27. Calculate the greatest common divisor of 88 and r. 11 Suppose -2*v = 2*c - 1 - 3, 0 = 5*c - 5*v - 30. Suppose -2*u = -3*u + 5. Let y(j) = j - 3. Let f be y(u). Calculate the highest common divisor of f and c. 2 Let s(x) = -x + 9. Let l be s(-7). What is the highest common divisor of 128 and l? 16 Let n(t) = t + 5. Let u be n(-5). Suppose -6 = -r - 3*r - 2*m, -5*r - 3*m + 5 = u. Let c be (0 + -18)*(-1 - 1). What is the greatest common factor of r and c? 4 Let q be (-9)/(-4) - (-11)/(-44). Suppose 4*o - 38 = -u, -4*u - q*o = -3*o - 118. Let n be ((-13)/7 + 1)*-14. What is the greatest common factor of n and u? 6 Let u = -123 + 244. Let b = -61 + u. What is the greatest common factor of 15 and b? 15 Let y = 7 - 7. Suppose -5*x - 49 - 56 = y. Let v = 30 + x. What is the highest common divisor of 27 and v? 9 Let l be 16 - ((2 - 2) + 0). Let j(k) = 17*k - 4. Let g be j(4). Calculate the greatest common factor of l and g. 16 Let u(y) = -y + 9. Let z be u(7). Suppose -z*q - q + 84 = 0. Calculate the greatest common divisor of q and 7. 7 Let b(f) = -f**2 + 8*f + 8. Let p be b(7). Calculate the highest common factor of 165 and p. 15 Suppose -1457 = -5*w + 3*j, -4*j = 2*w - 8 - 580. Suppose -3*c + c + 8 = 0. Let l be c/6 - w/(-3). What is the highest common divisor of l and 14? 14 Suppose h - 10 = 3*i - 2, -5*i = -5*h + 20. Let n = -7 + 21. What is the highest common divisor of n and h? 2 Suppose 5*t - 45 = 2*t. Suppose 396 = 5*n - 2*n - 3*z, -5*n = z - 678. What is the greatest common factor of n and t? 15 Suppose 0 = 4*u + 5*l - 16 - 13, 0 = 3*u + 2*l - 20. Suppose -2*c = -c - u. Calculate the highest common factor of 4 and c. 2 Let n = -22 - -50. What is the greatest common factor of n and 14? 14 Suppose 26 + 74 = 4*m. Suppose 0*q - 512 = -5*x + 3*q, x + q = 96. What is the highest common divisor of x and m? 25 Let c = 16 - 12. Suppose 3*f - 15 = -3*l + 45, 16 = c*l. What is the highest common divisor of f and 40? 8 Suppose 2*m + i - 10 = 0, 4*m + i = 29 - 7. Let w be (-508)/(-14) - 4/14. Let v = 90 - w. What is the greatest common divisor of v and m? 6 Let a = 59 + -42. What is the highest common factor of a and 187? 17 Let w be (-3)/2*(-2)/3. Let q be (0 - -2) + w + 3. What is the highest common factor of q and 24? 6 Let w = 3 + 9. Suppose h + 0*h + t = 19, -5*h + 87 = 3*t. Suppose 4*k - 63 = -h. What is the highest common divisor of k and w? 12 Let p(h) = -3*h - 15. Let b be p(-11). Calculate the greatest common factor of 12 and b. 6 Let j = 34 + -23. What is the greatest common divisor of j and 1? 1 Suppose -4*b + 1844 = -0*b. Suppose 3*x + 1315 = -2*x. Let r = x + b. What is the highest common divisor of r and 18? 18 Let b be (-18)/15*(-80)/6. Suppose -3*a + 0*y + 8 = -4*y, -3*a + b = -2*y. Calculate the greatest common divisor of a and 12. 4 Let n = -23 + 53. Calculate the highest common factor of 270 and n. 30 Let u be (-5)/(-2)*(1 - -5). Let d = u - 9. Calculate the highest common factor of d and 48. 6 Let u be ((-4)/(-5))/((-8)/(-320)). What is the highest common divisor of 8 and u? 8 Suppose 0 = 5*c + 28 - 133. What is the greatest common factor of c and 21? 21 Let o be 32*(-1 + 2) - 0. Let r be (3 - 10/4)*16. What is the greatest common factor of o and r? 8 Let o be 224/(((-6)/4)/(-3)). Calculate the highest common factor of o and 56. 56 Suppose 8*w + 2*w = 1080. What is the greatest common divisor of 72 and w? 36 Suppose 5*g - 10 = -0*g. Suppose -5*j + 2*j + 174 = g*k, 0 = j + k - 57. What is the highest common divisor of j and 15? 15 Suppose -9*f = -4*f + 90. Let l be (-144)/f - (1 - -1). Let r be (0 + (-1 - -2))*15. What is the greatest common factor of l and r? 3 Suppose -3*z - 4*q + 35 = -0*z, -q = -5*z + 20. Suppose 2*g + y - 2 = 4, z*y = 5*g. What is the highest common divisor of 16 and g? 2 Suppose -2*a - 2*a + 204 = 0. What is the greatest common factor of 17 and a? 17 Let d(w) = -17*w - 38. Let o be d(-10). Calculate the highest common divisor of 12 and o. 12 Let t = -13 + 26. Calculate the greatest common divisor of 117 and t. 13 Suppose 2*t - 1 = -3*p, 0*p - 4*t = 3*p + 7. Calculate the greatest common factor of 3
{ "pile_set_name": "DM Mathematics" }
-780*s + 4396. Is 267 a factor of a(-6)? False Let h = 10 - -2. Let f be (208/(-6))/(h/(-18)). Let p = -8 + f. Does 11 divide p? True Let m(n) = 760*n - 674. Does 46 divide m(7)? True Let a be 10 - 1 - (-2)/((-6)/(-9)). Suppose -a*b - 22*b = -4896. Is 8 a factor of b? True Let w(v) = -v**3 + 2*v**2 - 309*v - 3267. Is 2 a factor of w(-11)? False Let a(g) = 19*g + 8. Let k = -78 + 75. Let r be a(k). Let l = 63 + r. Does 4 divide l? False Let x = 8414 + 32315. Does 33 divide x? False Suppose 2*b = 2*q + 4486, -5*b - 23*q + 11165 = -18*q. Suppose -14*n = -2788 - b. Is n a multiple of 8? False Suppose -772186 = -162*u + 5319014. Is u a multiple of 188? True Let b(d) = -65*d - 119. Let u be b(-7). Suppose 6*i - 9*i + u = 0. Does 3 divide i? False Suppose -5*c + 38579 = 4*x, 0*c = 25*x + 4*c - 241146. Does 182 divide x? True Suppose 77*b = 540545 + 628546. Does 30 divide b? False Let j(i) = -i**3 - 18*i**2 - 13*i + 60. Let m be j(-17). Is (26/m)/(-5*7/1540) a multiple of 3? False Let b = 4427 + 449. Is 2 a factor of b? True Let y be (23/(-10) - (-4)/8)*-5. Suppose k = -5*l + 382, -7*k = -y*k - l + 791. Suppose n - 3*o = 3*n - 161, k = 5*n + 2*o. Is 5 a factor of n? False Suppose -23*m + 3531 = -12*m. Suppose -28*p = -k - 24*p + m, 5*k = 3*p + 1639. Is 89 a factor of k? False Let w = 8640 - 4514. Is 67 a factor of w? False Let p(o) = -o**3 - 8*o**2 - 8*o - 2. Let q be p(-7). Suppose -q*j + 21 = -12*j. Does 12 divide -4 + (j - 146*-1)? False Suppose 0 = -4*o - v + 925, o - 3*v - 225 = -2*v. Suppose 3*t - o - 22 = 0. Is 4 a factor of t? True Suppose 0 = -4*s - 70 + 82. Suppose -s*u - 4 = -5*u. Suppose -u*i = i - 39. Is i a multiple of 13? True Let u(t) = -22130*t**3 + 33*t**2 + 33*t. Is 39 a factor of u(-1)? False Let a = -81 + 270. Let j = 206 - a. Is 4 a factor of j? False Suppose 3*n - 3*t + 0*t - 3 = 0, n + 4*t = -4. Suppose 3*r + 1 - 4 = n. Does 8 divide r/(-5) + (-618)/(-15)? False Let p(f) be the first derivative of -25*f**3/3 + f**2 + f - 27. Let g be p(-2). Let t = g - -188. Is 5 a factor of t? True Is (-16 - -766)/(2 - 1) a multiple of 75? True Let w be 146/(-1)*((-3)/(-6) + -1). Let m = w - -363. Suppose -1723 + m = -13*q. Does 36 divide q? False Let u(d) = -18*d + 2 + 22*d - 11*d. Is u(-7) a multiple of 15? False Does 113 divide (-204)/170 - (-82991)/5? False Suppose 2*y = -4*v + 10486, -4*v - 420*y = -425*y - 10493. Is 43 a factor of v? False Is 38 a factor of ((-8957)/(-65) - -5)/(870/(-175) + 5)? False Suppose -k = -6*j - 9212, 3*k + k + 2*j - 36874 = 0. Suppose -2*s - 20*s + k = 0. Does 37 divide s? False Let j(g) = 2*g**2 + 20*g + 1044. Is 9 a factor of j(-63)? True Is 39 a factor of ((-1 - 1)/(800/(-3100)))/((-2)/(-1888))? False Suppose 195*b = 207*b - 504. Suppose 2*x - 30 = -10. Let o = b + x. Is o a multiple of 26? True Suppose 0 = 5*j - 5, 8640*t + 161611 = 8643*t - 2*j. Is t a multiple of 65? False Let g = 313 + -318. Is 18 a factor of (3563/(-14) - g)/(1/(-2))? False Let v = 9 - 7. Suppose 5*d + 2 = v*x - 0, 0 = -4*x + 4. Suppose -n - 2 + 20 = d. Is n a multiple of 3? True Let w = 47 + -31. Let h = 15 - w. Is (4 - h) + -3 + (-148)/(-1) a multiple of 30? True Let k = 418 + -426. Let t(z) = -11*z + 66. Does 11 divide t(k)? True Let y = 810 - -5648. Is y a multiple of 57? False Let v = 413 - 108. Let l = v + 73. Does 21 divide l? True Let r(p) = -p**3 + 3*p**2 + 17*p - 13. Let h be r(4). Suppose -8820 = 11*f - h*f. Is f a multiple of 8? False Suppose 0 = 3*p - 7*p + 84. Let q = 25 - p. Suppose 5*k + 36 = 2*w - 29, 20 = -q*k. Does 7 divide w? False Suppose 87*c - 17*c - 430 = 1180. Is c even? False Let v = -47 - -36. Let r be 0 + 2/v + 144/66. Suppose -5*a = -2*o - 321, -r*o - 2 = -6. Does 13 divide a? True Let f = 428 - 405. Does 5 divide ((-766)/4)/(((-322)/28)/f)? False Suppose 3*i + 7257 = 23543 + 49858. Does 23 divide i? False Suppose -4616 = 2*m - 2*f - 38622, 5*m - 85015 = -4*f. Is m a multiple of 74? False Let t(j) = -18*j - 13. Let y be (-6)/(-2*(-20)/8 - 4). Let d be t(y). Is 19 a factor of d*(-4)/40*-4? True Let t(i) = -i**3 + 20*i**2 - 30*i - 17. Suppose 118 - 27 = 7*w. Does 50 divide t(w)? False Let s be (-6)/16 - 513/(-152). Suppose o + s + 3 = 0. Let x(t) = -12*t. Is 24 a factor of x(o)? True Let i(a) = 3*a**2 + 2*a - 12. Let b be i(-14). Suppose 11*y - 178 = b. Is 6 a factor of y? True Let z = 212 + -470. Let u = 370 + z. Does 7 divide u? True Let v(h) = -h**3 + 9*h**2 - 11*h + 7. Suppose -3*p + 32 = 2*y, -3*p + 2*p - 12 = -5*y. Let a be v(p). Is 13 a factor of (-2)/(-17) - 2531/a? False Suppose 23*s + 3*a - 4618 = 22*s, -5*s - 4*a = -23024. Is 92 a factor of s? True Let f = 8732 - 4838. Is f a multiple of 66? True Let o = -753 - -2126. Let f = o + -784. Is f a multiple of 66? False Let a = -38 - -39. Let u be a/3 - (-20)/12. Suppose 0 = -2*w + 3*w - u*f - 3, -5*f = w - 24. Does 5 divide w? False Suppose 3*f + 10 = -3*m - 2*f, 5*m - 30 = f. Suppose m*s + 15 = 15. Suppose s*g - 2*g + 596 = 0. Is 40 a factor of g? False Suppose 35*f - 6*f = -17*f + 461656. Is 26 a factor of f? True Let f(d) = -23*d**3 + d**2 - d - 1. Let q be f(-1). Suppose q = -4*b - v - 0*v, 2*b + 12 = -4*v. Is b + 2/1 - (-23 + 3) a multiple of 8? True Let n(w) = 3*w**2 + 5*w + 2. Suppose u - 3*p + 14 = 0, 0 = 3*p + 2*p - 20. Let k be n(u). Suppose -49 = -h - 5*m, 3*h - k*m = h + 98. Is 6 a factor of h? False Let h = 9 + -9. Suppose h = -2*l - 3*l + 45. Suppose -l*b + 120 = -4*b. Is b a multiple of 12? True Let b = 16120 + -10982. Does 14 divide b? True Let u = -2921 - -3277. Is u a multiple of 89? True Let j(n) = 2*n**2 - 23*n - 110. Let f = 282 + -298. Does 70 divide j(f)? True Suppose 2*i = 3*i + 8. Let y be (i/6)/(2/(-24)). Suppose -y*b + 12*b = -96. Is 12 a factor of b? True Is 72 a factor of (312/(-40)*1)/(1 + (-482)/480)? True Let l(i) = i**2 - 9*i + 9. Let m be l(8). Let v(j) = 161*j**3 + 2*j**2 - 1. Let d be v(m). Let g = d - 110. Is g a multiple of 4? True Let o be (5 + -6)*1564/(8/(-2)). Let q = o - 259. Is 14 a factor of q? False Does 74 divide -1 + 2 - (2 + -7964)/3? False Let l(r) be the first derivative of 7*r**3/3 + 5*r**2/2 + 12*r - 67. Let v = 8 - 11. Is l(v) a multiple of 9? False Let u(z) = -2*z**3 - 45*z**2 - 500*z - 14. Is 137 a factor of u(-16)? True Suppose 148 + 90 = 7*x. Suppose z = -z - 38. Let p = x - z. Does 13 divide p? False Suppose -9*x + 6*x + 1800 = 0. Suppose 0 = 22*q - 14*q - x. Is 25 a factor of q? True Let y = 424 - 353. Let h(t) = t**3 - 4*t**2 + 4*t + 1. Let f be h(3). Suppose 0 = f*l - 2*g - 519 - y, 2*l + 5*g = 325. Is l a multiple of 15? True Let u(i) = i + 11. Let z be u(-11). Let w be -54 + (-2)/(-4)*z. Let d = w + 83. Is d a multiple of 19? False Suppose 4*t = 3*d - 11, 0 = -5*t - 3*d - 0*d - 34. Let f(b) = -b**3 - 3*b**2 - 2*b + 3. Is 7 a factor of f(t)? True Suppose q - 3*q = -4. Let c = -1760 - -2612. Is q/(8/c)*1 a multiple of 14? False Let f(y) be the third derivative of -26/3*y**3 - 2/3*y**4 - 23*y**2 + 0*y + 0. Is 14 a factor of f(-12)? True Let u = 14956 - 11177. Is 22 a factor of u? False Let n be (4/8)/(6/(-216)). Suppose 5*i + 1062 = -i. Is ((-12)/n)/((-2)/i) a multiple of 10? False Let o = -208 - -262. Is (o/(-36))/((-1)/24) a multiple of 3? True Suppose 164*r = 170*r. Suppose r = -4*k + 2*k - 10, 4*t - 1685 = k. Is t a multiple of 19? False Let u(b) = b**3 - 10*b**2 - 6*b - 16. Let d(c) be the first derivative of c**4/2 - 7*c**3 - 6*c**2 - 33*c - 12. Let w(y) = 2*d(y) - 5*u(y). Does 18 divide w(7)? False Let d be 6290*7*3/42. Let u = d + -1906. Is u a multiple of 21? True Let r = 3246 - -6257. Is 85 a factor of r? False Let p = 3901 - 1181. Does 44 divide p? False Suppose -1693 - 1817 = -5*r. Suppose l - 5*l = 8, -r = -2*o - 3*l. Is 49 a factor of o? False Suppose 2*y + 1077 = -h + 4291, 2*h + 8*y - 6432 = 0. Does 22 divide h? True Suppose 23 = 12*r - 37. Suppose -r*m - 42 = -547. Does 8 divide m? False Let o(v) = v**2 + 2*v + 1. Let i be o(3). Let p = 134 - i. Does 64 divide p? False Let x = 401 + 1261. Does 3 divide x? True Let m(g) = -g**2 - 28*g + 30. Let u = 86 - 103. Does 36 divide m(u)? False Suppose -260*o = -265*o + 2*w + 15154, -2*o + 6054 = 3*w. Is o a multiple of 4? False Is 9 a factor of 2/4*1944*(12 + -1 + -10)? True Let o = 203 + -200. Suppose x + 4*w - 204 = 0, -889 + 86 =
{ "pile_set_name": "DM Mathematics" }
e i'th term of -28473, -56946, -85419? -28473*i What is the a'th term of -18, -35, -60, -93, -134, -183, -240? -4*a**2 - 5*a - 9 What is the n'th term of 34, -1, -38, -77, -118, -161, -206? -n**2 - 32*n + 67 What is the j'th term of 1, 30, 109, 262, 513? 4*j**3 + j**2 - 2*j - 2 What is the r'th term of -41, -51, -47, -23, 27, 109, 229, 393? r**3 + r**2 - 20*r - 23 What is the u'th term of 1238, 1247, 1268, 1307, 1370? u**3 + 2*u + 1235 What is the g'th term of -145, -141, -137, -133, -129? 4*g - 149 What is the y'th term of -27, -56, -87, -120? -y**2 - 26*y What is the r'th term of 797, 796, 795, 794, 793? -r + 798 What is the l'th term of -31, -40, -71, -136, -247, -416, -655? -2*l**3 + l**2 + 2*l - 32 What is the j'th term of 90, 215, 340? 125*j - 35 What is the j'th term of -10, -6, 6, 32, 78, 150, 254, 396? j**3 - 2*j**2 + 3*j - 12 What is the i'th term of 1285, 2574, 3863, 5152? 1289*i - 4 What is the w'th term of 200, 400, 606, 824, 1060, 1320, 1610? w**3 - 3*w**2 + 202*w What is the v'th term of -836, -3352, -7546, -13418, -20968, -30196, -41102? -839*v**2 + v + 2 What is the q'th term of 35, 98, 147, 176, 179, 150? -q**3 - q**2 + 73*q - 36 What is the a'th term of -644, -1277, -1912, -2549, -3188, -3829, -4472? -a**2 - 630*a - 13 What is the q'th term of -833, -1676, -2521, -3368? -q**2 - 840*q + 8 What is the a'th term of -74, -104, -182, -332, -578, -944? -4*a**3 - 2*a - 68 What is the h'th term of -1081, -1083, -1085, -1087, -1089, -1091? -2*h - 1079 What is the p'th term of -409, -376, -331, -268, -181, -64, 89? p**3 + 26*p - 436 What is the v'th term of -35, -28, -17, -2, 17? 2*v**2 + v - 38 What is the w'th term of -590, -1187, -1784, -2381, -2978? -597*w + 7 What is the h'th term of -106, -224, -342, -460? -118*h + 12 What is the c'th term of -102, -246, -390, -534, -678? -144*c + 42 What is the b'th term of 106, 94, 68, 22, -50? -b**3 - b**2 - 2*b + 110 What is the v'th term of 152, 295, 440, 587, 736? v**2 + 140*v + 11 What is the v'th term of -64, -60, -58, -58? -v**2 + 7*v - 70 What is the i'th term of -170, -173, -172, -161, -134? i**3 - 4*i**2 + 2*i - 169 What is the l'th term of 32, 365, 1276, 3053, 5984? 48*l**3 + l**2 - 6*l - 11 What is the l'th term of -40, -44, -50, -58? -l**2 - l - 38 What is the n'th term of -250, -1003, -2258, -4015, -6274? -251*n**2 + 1 What is the g'th term of 20, 51, 82, 113? 31*g - 11 What is the g'th term of -6, -2, 14, 48, 106, 194? g**3 - 3*g - 4 What is the s'th term of 57, 112, 167, 222, 277? 55*s + 2 What is the i'th term of 370, 746, 1120, 1492, 1862, 2230, 2596? -i**2 + 379*i - 8 What is the t'th term of 71, 263, 583, 1031, 1607? 64*t**2 + 7 What is the j'th term of 1888, 3767, 5642, 7513, 9380, 11243, 13102? -2*j**2 + 1885*j + 5 What is the a'th term of 444, 463, 480, 495, 508, 519? -a**2 + 22*a + 423 What is the v'th term of -170, -672, -1510, -2684? -168*v**2 + 2*v - 4 What is the a'th term of -67, -287, -657, -1177, -1847, -2667? -75*a**2 + 5*a + 3 What is the h'th term of 61, 76, 91, 106? 15*h + 46 What is the c'th term of 33, 111, 247, 447, 717, 1063, 1491, 2007? c**3 + 23*c**2 + 2*c + 7 What is the s'th term of 555, 1142, 1743, 2364, 3011, 3690? s**3 + s**2 + 577*s - 24 What is the o'th term of 94, 38, -18, -74, -130? -56*o + 150 What is the u'th term of 164, 844, 2688, 6278, 12196, 21024, 33344, 49738? 97*u**3 + u + 66 What is the a'th term of 176, 197, 238, 305, 404, 541, 722, 953? a**3 + 4*a**2 + 2*a + 169 What is the y'th term of 6, 3, -8, -27, -54, -89, -132? -4*y**2 + 9*y + 1 What is the s'th term of 25, 21, 15, 7, -3, -15? -s**2 - s + 27 What is the x'th term of 10, 16, 22, 28, 34, 40? 6*x + 4 What is the h'th term of -382, -390, -422, -490, -606, -782, -1030? -2*h**3 + 6*h - 386 What is the g'th term of 438, 1742, 3914, 6954, 10862? 434*g**2 + 2*g + 2 What is the z'th term of -1841, -3686, -5531? -1845*z + 4 What is the d'th term of 583, 586, 589? 3*d + 580 What is the h'th term of 1510, 1512, 1514? 2*h + 1508 What is the c'th term of -111, -436, -963, -1680, -2575? 2*c**3 - 113*c**2 What is the c'th term of 294, 588, 882, 1176? 294*c What is the k'th term of 55, 78, 65, -2, -141? -3*k**3 + 44*k + 14 What is the b'th term of -115, -129, -155, -199, -267? -b**3 - 7*b - 107 What is the b'th term of 87, 300, 649, 1128, 1731, 2452, 3285? -b**3 + 74*b**2 - 2*b + 16 What is the z'th term of 256, 246, 238, 232, 228, 226? z**2 - 13*z + 268 What is the p'th term of 31, 127, 287, 511, 799? 32*p**2 - 1 What is the r'th term of -113, -108, -93, -62, -9, 72? r**3 - r**2 + r - 114 What is the s'th term of 1115, 1125, 1135, 1145, 1155? 10*s + 1105 What is the h'th term of -80, -159, -238, -317, -396? -79*h - 1 What is the d'th term of 10, 45, 80, 115, 150, 185? 35*d - 25 What is the j'th term of 153, 147, 141? -6*j + 159 What is the b'th term of -15, -65, -175, -375, -695, -1165, -1815? -5*b**3 - 15*b + 5 What is the g'th term of 577, 1143, 1703, 2257, 2805, 3347, 3883? -3*g**2 + 575*g + 5 What is the y'th term of 9426, 9424, 9422, 9420? -2*y + 9428 What is the k'th term of -5, 22, 49, 76, 103, 130? 27*k - 32 What is the t'th term of 593, 587, 581, 575, 569, 563? -6*t + 599 What is the v'th term of -7, -5, -3? 2*v - 9 What is the d'th term of 921, 3697, 8323, 14799, 23125? 925*d**2 + d - 5 What is the c'th term of 168, 325, 482, 639, 796? 157*c + 11 What is the m'th term of 34, 35, 36? m + 33 What is the l'th term of 806, 806, 800, 782, 746, 686, 596, 470? -l**3 + 3*l**2 - 2*l + 806 What is the v'th term of 17, 23, 41, 77, 137? v**3 - v + 17 What is the g'th term of 72, 145, 218? 73*g - 1 What is the a'th term of -5362, -5363, -5364, -5365, -5366? -a - 5361 What is the r'th term of -792, -3174, -7144, -12702? -794*r**2 + 2 What is the q'th term of 4, 6, 10, 16, 24? q**2 - q + 4 What is the m'th term of -51, -48, -31, 6, 69, 164, 297? m**3 + m**2 - 7*m - 46 What is the l'th term of -7, -112, -287, -532? -35*l**2 + 28 What is the b'th term of 408, 1502, 3318, 5850, 9092? -b**3 + 367*b**2 + 42 What is the o'th term of -23, -75, -129, -185, -243, -303, -365? -o**2 - 49*o + 27 What is the v'th term of -1676, -1680, -1684, -1688, -1692? -4*v - 1672 What is the j'th term of -1, -13, -27, -43? -j**2 - 9*j + 9 What is the d'th term of 993, 995, 997, 999? 2*d + 991 What is the a'th term of -18, -18, -24, -42, -78? -a**3 + 3*a**2 - 2*a - 18 What is the l'th term of -392, -786, -1180, -1574? -394*l + 2 What is the k'th term of -384, -397, -410, -423? -13*k - 371 What is the g'th term of 18, -32, -126, -264, -446, -672, -942? -22*g**2 + 16*g + 24 What is the z'th term of 24, 54, 100, 156, 216, 274, 324, 360? -z**3 + 14*z**2 - 5*z + 16 What is the d'th term of -166, -199, -252, -325, -418, -531, -664? -10*d**2 - 3*d - 153 What is the m'th term of 955, 957, 959, 961, 963, 965? 2*m + 953 What is the c'th term of -1371, -5512, -12413, -22074, -34495? -1380*c**2 - c + 10 What is the l'th term of -14681, -14679, -14677, -14675? 2*l - 14683 What is the z'th term of -185, -180, -173, -164, -153, -140, -125? z**2 + 2*z - 188 What is the r'th term of -121, -145, -167, -187, -205? r**2 - 27*r - 95 What is the a'th term of 3305, 3307, 3309? 2*a + 3303 What is the i'th term of 18, 45, 80, 117, 150, 173, 180? -i**3 + 10*i**2 + 4*i + 5 What is the k'th term of -82, -107, -146, -199? -7*k**2 - 4*k - 71 What is the u'th term of 41, 44, 45, 44, 41? -u**2 + 6*u + 36 What is the c'th term of 31, 108, 235, 412, 639, 916? 25*c**2 + 2*c + 4 What is the u'th term of 349, 349, 341, 319, 277? -u**3 + 2*u**2 + u + 347 What is the w'th term of 58, 29, -42, -173, -382? -3*w**3 - 3*w**2 + w + 63 What is the a'th term of 11543, 11545, 11547, 11549? 2*a + 11541 What is the i'th term of 106, 308, 654, 1150, 1802, 2616, 3598? i**3 + 66*i**2 - 3*i + 42 What is the g'th term of 58, 564, 1944, 4636, 9078, 15708? 73*g**3 - g**2 - 2*g - 12 What is the j'th term of -51, -61, -71, -81? -10*j - 41 What is the x'th term of -47, -89, -133, -179, -227, -277, -329? -x**2 - 39*x - 7 What is the p'th term of 5, 11, 17? 6*p - 1 What is the d'th term of 52, 64, 90, 136, 208? d**3 + d**2 + 2*d + 48 What is the d'th term of -38, -17, -4, -5, -26, -73, -152, -269? -d**3 + 2*d**2 + 22*d - 61 What is the u'th term of -482, -938, -1394, -1850, -2306
{ "pile_set_name": "DM Mathematics" }
*y**2 Let a(x) = x + 13. Let w(p) = 43*p**2. Calculate w(a(m)). 43*m**2 + 1118*m + 7267 Let c(v) = -v. Let s(y) = -y. Let n(u) = 81*u. Let q(j) = -n(j) - 54*s(j). Give q(c(o)). 27*o Let s(n) = 2*n**2 - 2. Let u(l) = 9*l**2. What is u(s(h))? 36*h**4 - 72*h**2 + 36 Let j(z) = -675*z**2. Let v(l) = -l. Determine v(j(a)). 675*a**2 Let i(z) be the first derivative of 0*z**2 + 5/3*z**3 + 1 + 0*z. Let c(n) = 4*n. Let g(t) = -t. Let h(a) = c(a) + 3*g(a). Determine i(h(v)). 5*v**2 Let o(d) be the first derivative of 3*d**2/2 - 8. Let r(b) = 10*b**2. Determine o(r(x)). 30*x**2 Let c(p) = -3*p**2 + 0*p**2 + 5*p**2. Let z(q) be the second derivative of q**3/3 - 32*q. Determine z(c(g)). 4*g**2 Let m(h) = -13*h**2. Let w(j) be the first derivative of j**2 + 8. Calculate w(m(c)). -26*c**2 Let z(a) = 8*a**2. Let v(o) be the third derivative of o**5/60 - 22*o**2. Give z(v(i)). 8*i**4 Let u(i) = 355*i. Let k(r) = -7*r**2. Determine u(k(a)). -2485*a**2 Let q(m) be the first derivative of m**2 - 1. Suppose 0*f - 6 = -2*f. Let k(p) = -2*p + p + f*p - 4*p. What is q(k(u))? -4*u Let x(n) = -n**2. Let c(r) = -3*r. Let w be (1*-8)/4 - 2. Let o(u) = -3*u. Let l(z) = w*c(z) + 6*o(z). Give l(x(s)). 6*s**2 Let g(u) be the third derivative of 0*u**3 + 0 + 1/24*u**4 + 4*u**2 + 0*u. Let o(v) = -2*v**2. Calculate g(o(p)). -2*p**2 Let y(u) = -2*u. Let o(x) = -x**3 - 4*x**2 + 4*x - 2. Let h be o(-5). Let t(v) = 2*v - h*v + 4*v. What is y(t(r))? -6*r Let d(a) be the third derivative of -a**4/12 - 7*a**2. Let r(i) = 3*i. Calculate d(r(v)). -6*v Suppose 0 = -4*u + 14 - 2. Let v(n) = -n + u - 4 + 1. Let a(t) = t. Determine v(a(b)). -b Let f(n) = -4*n. Let b(a) = 48*a - 54*a - 3 + 3. Give f(b(r)). 24*r Let j = -2 + 4. Let x = 7 + -5. Let v(u) = u**2 - 4*u**x + 4*u**j. Let q(f) = -f. What is q(v(h))? -h**2 Let v(f) = 9*f**2 + 7*f**2 - 3*f**2 - 4*f**2. Let l(x) = -3*x. Determine l(v(d)). -27*d**2 Let z(i) = 42 - 42 + 6*i. Let y(x) = -x**2. Determine y(z(s)). -36*s**2 Let o(u) = 2*u. Let q(h) = 2*h**2 - 607*h - 2. Calculate o(q(i)). 4*i**2 - 1214*i - 4 Let q(z) = -81*z**2 - 2. Let r(n) = -4*n**2. What is q(r(o))? -1296*o**4 - 2 Let t(x) = x**3 + 9*x**2 - 9*x + 10. Let u be t(-10). Let r(q) = -3*q**2 + 6*q**2 + u*q**2. Let j(a) be the first derivative of a**2/2 - 3. Calculate r(j(l)). 3*l**2 Let n(j) = 3*j**2. Let p(d) = -25*d + 5 - 5 + 9*d. Calculate p(n(k)). -48*k**2 Let c(o) = 151*o**2. Let l(y) = 5*y**2. What is l(c(n))? 114005*n**4 Let v(q) = q**2. Let f(n) = -n - 2363. Calculate v(f(k)). k**2 + 4726*k + 5583769 Let o(v) be the first derivative of -9*v**2/2 + 43. Let s(g) = -g. Calculate s(o(q)). 9*q Let r(x) = -x. Suppose -10 = -y - 4*y. Let z(f) = -6 + 10 + y*f - 4. Calculate r(z(k)). -2*k Let f(i) = i. Let w(a) be the first derivative of -a**2 + 9. Give w(f(g)). -2*g Let v(w) = 2*w**2. Let i(t) be the second derivative of -t**4/6 + 2*t**3/3 + 19*t + 1. Give v(i(z)). 8*z**4 - 32*z**3 + 32*z**2 Let i(n) = 5*n. Let v(z) be the third derivative of -z**4/12 - 6*z**2. Determine v(i(w)). -10*w Let h(b) = 9*b. Let v(w) be the third derivative of w**5/30 + 4*w**2. Calculate v(h(o)). 162*o**2 Let i(h) = -h - 1. Let r(n) = 6*n + 4. Suppose 9 + 3 = 3*s. Let c(x) = s*i(x) + r(x). Let z(w) = -3*w. Calculate z(c(j)). -6*j Let s(l) = l + 14. Let f(h) = 8*h**2. Determine f(s(u)). 8*u**2 + 224*u + 1568 Let z(a) = -5*a. Let y(h) = -h**2 - h - 1. Let p(d) = 2*d**2 + 3*d + 3. Let c(o) = p(o) + 3*y(o). Give c(z(m)). -25*m**2 Let y(q) be the first derivative of -3 - q + 0*q**3 + q - 2*q**3. Let h(b) = -b**2. Calculate h(y(o)). -36*o**4 Let s(x) be the third derivative of 2*x**2 - 1/60*x**5 + 0 + 0*x + 0*x**4 + 0*x**3. Let j(q) = 3*q**2. Calculate j(s(i)). 3*i**4 Let x(l) = 2*l. Let h be (-29 - -2)*(-2)/6. Suppose -4*t - 3*s = -2*s - h, 2*s - 8 = -3*t. Let c(r) = 4*r**2 - 4*r**t + 2*r**2. Calculate x(c(n)). 4*n**2 Let o(u) = -u. Let g(i) = i - 459. Give o(g(d)). -d + 459 Let p(j) be the third derivative of j**4/12 - 19*j**2. Let v(x) = 12*x**2. Calculate p(v(o)). 24*o**2 Let a(b) = b**2 - 3*b + 3. Let r(g) = 4*g + 2*g**2 - 3*g**2 - 7 - g**2 + 3*g. Let p(w) = -7*a(w) - 3*r(w). Let l(k) = -6*k**2. Determine l(p(m)). -6*m**4 Let k(r) = -5*r**2 - 6*r. Let h(n) = -n**2 - n. Let p(a) = 6*h(a) - k(a). Let y(i) = -3*i. What is y(p(m))? 3*m**2 Let y(v) = v**2. Let i(b) = 6*b + 4. Let f(z) = 1. Let u(m) = -2*f(m) - 2*i(m). Let q(o) = o + 1. Let l(d) = -20*q(d) - 2*u(d). Calculate l(y(k)). 4*k**2 Let b(n) = 5*n**2. Let i(v) = -16*v**2 + 4. Calculate i(b(d)). -400*d**4 + 4 Let n(q) = -96*q + q**2 + 96*q. Let j(y) = -y**2 - y + 1. Let i(p) = -20*p**2 - 15*p + 15. Let o(s) = -2*i(s) + 30*j(s). What is n(o(u))? 100*u**4 Let d(x) = -4*x**2. Let r(v) be the third derivative of v**5/60 + 5*v**4/24 + v**3/3 - v**2. Let l be r(-5). Let u(z) = -z**l + 4*z - 4*z. Give u(d(j)). -16*j**4 Let f(g) = 5*g. Let w(z) = -10*z**2. Calculate w(f(v)). -250*v**2 Let m(o) = 1. Let y(s) = s + 2. Let n(p) = 2*m(p) - y(p). Let c(x) = x**2 - x - 3. Let u be c(3). Let b(r) = 2*r**2 + 0*r - 3*r + u*r. What is n(b(f))? -2*f**2 Let f(b) = 43*b**2. Let c(x) = 61 + 2*x**2 - 27 - 34. Calculate f(c(w)). 172*w**4 Let f(l) = 2*l**2 - 11*l**2 + 6*l**2. Let k(z) = z**2 - 2 + 2. What is f(k(g))? -3*g**4 Let b(g) = -5*g. Let t(m) = 4*m + 51. Give t(b(u)). -20*u + 51 Let v(s) = 4*s**2. Let q(x) be the first derivative of x**3/3 - 3. Determine v(q(w)). 4*w**4 Let l(f) be the third derivative of -f**5/60 - f**2. Let z(a) = a**3 - a**2 - 2*a + 2. Let q be z(2). Let r(b) = -4*b - q*b + b + 2*b. Calculate l(r(g)). -9*g**2 Let q(y) be the second derivative of -y**6/180 - 5*y**3/6 + y. Let v(z) be the second derivative of q(z). Let x(o) = -6*o. Give x(v(a)). 12*a**2 Let p(s) = 6*s. Let z(x) be the third derivative of x**4/6 - 11*x**2. Determine z(p(v)). 24*v Let z(r) = -2*r**2. Let q(u) be the first derivative of 1/2*u**3 + 0*u**2 - u + 2. Let p(a) be the first derivative of q(a). What is z(p(o))? -18*o**2 Let f(b) = -b**3 + 2*b**2 + 4*b. Let y be f(3). Let m(t) = y - 3 + 2*t. Let k(n) = -4*n**2 + 0*n**2 + 0*n**2. Calculate k(m(x)). -16*x**2 Let b(c) = -c**2. Let a(p) be the first derivative of -5*p**3/3 - 5. Determine a(b(v)). -5*v**4 Let i(o) be the second derivative of -o**3/3 - 5*o. Let s(j) = 3*j. Give s(i(d)). -6*d Let z(q) = 12*q**2. Let w(t) be the first derivative of -t**2 - 2. What is z(w(h))? 48*h**2 Let v(z) = 2*z**2 + z**2 - 2*z**2. Let a(x) be the second derivative of -x**4/2 + 5*x. Give a(v(j)). -6*j**4 Let j(r) = -4*r**2. Suppose 4*t + 8*z = 4*z + 28, 5*z - 17 = 4*t. Let d(k) = 2*k + t*k - k - k. Give d(j(y)). -8*y**2 Let a(r) = 2*r. Let j(b) = b**3 - 3*b**2. Let o be j(3). Let k(q) = -1 - 2*q + o*q + 3*q. Let n(c) = -5*c + 3. Let s(y) = -3*k(y) - n(y). Determine a(s(g)). 4*g Let i(r) be the second derivative of 0*r**2 + 0 + 1/6*r**3 + 2*r. Let d(x) = 8*x - x - x - x. What is d(i(c))? 5*c Let w(c) be the third derivative of -5*c**4/8 + 6*c**2. Let v(r) = r. What is v(w(p))? -15*p Let o(a) = -21*a. Let n(j) = -3*j**2. Give o(n(k)). 63*k**2 Let i(s) = -2*s**2. Let k(v) = 5*v**2 - 4*v + 4. Let t(u) = 7*u**2 - 3*u + 3. Let a(l) = 3*k(l) - 4*t(l). Determine a(i(f)). -52*f**4 Let z(k) = -k. Suppose 4*j - 3*j - 2 = 0. Let r(s) = -3*s + 3*s + 0*s - j*s. Give z(r(q)). 2*q Let w(z) = 2*z**2. Let x(h) be the first derivative of -17/2*h**2 + 0*h - 2. Give x(w(t)). -34*t**2 Let x(i) = 6*i. Let a(q) = 17*q. Let w(m) = -4*a(m) + 11*x(m). Let u(h) = 16 - 16 + 5*h**2 - h**2. Give u(w(d)). 16*d**2 Let l(j) = 22 - 2*j - 10 - 12. Let h(i) = -1. Let m(w) = 1. Let y(f) = -f - 1. Let t(a) = 2*m(a) + y(a). Let n(d) = -h(d) - t(d). What is l(n(r))? -2*r Let s(r) = 2*r. Let d(k) be the second derivative of -4*k**3/3 - 19*k. Calculate d(s(c)). -16*c Let s(c) = -5*c**2. Let m(q) = -431*q**2. Determine m(s(x)). -10775*x**4 Let w(d) = -102*d. Let t(k) = 15*k**2. Give w(t(o)). -1530*o**2 Let l(q) = -71*q + 1. Let k(r) = -2*r**2. Determine k(l(y)). -10082*y**2 + 284*y - 2 Let m(g) = 8*g**2. Let j(a) = 1. Let d(o) = o - 6. Let w(z) = -d(z) - 6*j(z). What is w(m(p))? -8*p**2 Let c(k) = -7*k + 13*k - 9*k. Let z(t) = 2*t**2. What is z(c(i))? 18*i**2 Let h(u) = 2*u + 1. Let k be h(3). Let m(p) = -k*p + 0 + p + 0. Let g(n) = 2*n. Determine g(m(w)). -12*w Let r(g) be the first de
{ "pile_set_name": "DM Mathematics" }
s -0.00000135638 rounded to 7 dps? -0.0000014 What is -24666 rounded to the nearest 10000? -20000 Round -0.003959 to 3 dps. -0.004 What is -32160 rounded to the nearest 1000? -32000 What is -100.21 rounded to the nearest 10? -100 What is -0.00062063 rounded to five dps? -0.00062 Round 0.05412 to three dps. 0.054 What is 0.01906 rounded to two decimal places? 0.02 What is -70.59 rounded to the nearest ten? -70 What is 0.01814 rounded to 3 decimal places? 0.018 Round -2757 to the nearest 1000. -3000 Round 0.0003337 to 5 dps. 0.00033 Round -0.00123 to three dps. -0.001 What is -0.0034613 rounded to five dps? -0.00346 What is -0.0000012012 rounded to seven decimal places? -0.0000012 Round 356580000 to the nearest one million. 357000000 Round 37217 to the nearest ten thousand. 40000 What is 76.5458 rounded to 1 dp? 76.5 What is 807 rounded to the nearest one hundred? 800 What is 0.00000103922 rounded to seven dps? 0.000001 Round -3188600 to the nearest one hundred thousand. -3200000 Round -0.0021688 to five dps. -0.00217 What is 2550.6 rounded to the nearest 100? 2600 Round 337.3 to the nearest 100. 300 Round 0.003798 to 4 dps. 0.0038 What is 1.0095 rounded to one decimal place? 1 What is 0.009252 rounded to four dps? 0.0093 What is 0.204577 rounded to two decimal places? 0.2 Round 0.00009 to three decimal places. 0 Round -0.000804 to 4 decimal places. -0.0008 What is -0.0000069863 rounded to 6 decimal places? -0.000007 What is 1910.69 rounded to the nearest 100? 1900 Round -122400000 to the nearest 1000000. -122000000 Round -214.72 to the nearest ten. -210 What is -228630 rounded to the nearest ten thousand? -230000 Round -0.0039 to three dps. -0.004 What is -510930 rounded to the nearest one hundred thousand? -500000 What is 5197 rounded to the nearest one hundred? 5200 What is 0.0113682 rounded to 3 decimal places? 0.011 Round -0.0000015882 to six dps. -0.000002 What is -364380 rounded to the nearest 1000000? 0 Round -0.055 to two dps. -0.06 Round -0.000993 to three decimal places. -0.001 Round 0.000001649 to seven decimal places. 0.0000016 Round 0.0000005948 to seven decimal places. 0.0000006 Round 0.000857 to 4 dps. 0.0009 What is -772200 rounded to the nearest 10000? -770000 What is -0.001205 rounded to five dps? -0.00121 Round 12870 to the nearest 1000. 13000 Round 0.00000091111 to 7 decimal places. 0.0000009 What is 119 rounded to the nearest one hundred? 100 What is -0.0029744 rounded to four dps? -0.003 Round -725800 to the nearest 100000. -700000 What is 6980000 rounded to the nearest one million? 7000000 What is -5689000 rounded to the nearest 1000000? -6000000 What is 0.00078 rounded to four decimal places? 0.0008 What is -588.6 rounded to the nearest 100? -600 What is 3883.51 rounded to the nearest 1000? 4000 Round -288120000 to the nearest 1000000. -288000000 Round -0.026 to 2 decimal places. -0.03 Round -0.00103548 to 5 dps. -0.00104 Round 110189 to the nearest 1000. 110000 What is 40.0074 rounded to the nearest integer? 40 Round -0.0096386 to 4 decimal places. -0.0096 Round -0.11579 to two dps. -0.12 What is -616.6 rounded to the nearest 10? -620 Round 68.96 to the nearest 10. 70 Round -3.96183 to 2 dps. -3.96 Round -10.05 to the nearest integer. -10 Round 3066400 to the nearest one million. 3000000 What is 215400 rounded to the nearest 100000? 200000 Round -160.483 to the nearest 10. -160 Round -14799 to the nearest 1000. -15000 Round 3163 to the nearest one hundred. 3200 What is 193700 rounded to the nearest 100000? 200000 What is 1593020 rounded to the nearest ten thousand? 1590000 What is 0.000011533 rounded to 6 decimal places? 0.000012 Round -7.7235 to one decimal place. -7.7 Round -1359.3 to the nearest one hundred. -1400 Round -0.010605 to 5 decimal places. -0.01061 What is 0.003223 rounded to four dps? 0.0032 Round -2494800 to the nearest 1000000. -2000000 Round 0.0012757 to 4 decimal places. 0.0013 What is 0.01424 rounded to 4 dps? 0.0142 Round -256.46 to the nearest ten. -260 Round 0.0000077382 to six dps. 0.000008 What is -54040 rounded to the nearest 10000? -50000 Round 0.0001359 to five dps. 0.00014 Round -82765000 to the nearest 1000000. -83000000 Round 1621.9 to the nearest 10. 1620 Round 0.81696 to 1 dp. 0.8 Round 8600.71 to the nearest 1000. 9000 Round -33096 to the nearest 10000. -30000 What is -17382600 rounded to the nearest 1000000? -17000000 Round -219070 to the nearest 1000. -219000 What is 58610 rounded to the nearest 10000? 60000 What is 0.0000016848 rounded to 6 dps? 0.000002 Round 1.305 to one dp. 1.3 What is 269.68 rounded to zero dps? 270 Round 0.000010065 to 7 dps. 0.0000101 Round -11690000 to the nearest one million. -12000000 What is -3721.3 rounded to the nearest 100? -3700 What is 0.000323 rounded to four decimal places? 0.0003 Round -0.001666 to 4 dps. -0.0017 What is -186.73 rounded to 0 dps? -187 What is 20200000 rounded to the nearest 1000000? 20000000 Round 0.0000664916 to seven decimal places. 0.0000665 Round 0.0000819 to six decimal places. 0.000082 Round 0.07624 to 2 decimal places. 0.08 What is -21.277 rounded to one dp? -21.3 What is 3021.9 rounded to the nearest one hundred? 3000 What is 0.000008243 rounded to 7 decimal places? 0.0000082 Round 0.006 to two dps. 0.01 Round 1195.7 to the nearest 10. 1200 Round -5877 to the nearest 1000. -6000 What is -19.7178 rounded to the nearest ten? -20 Round 3332.07 to the nearest ten. 3330 What is -582.2 rounded to the nearest 100? -600 What is 9783000 rounded to the nearest one million? 10000000 Round 70702.5 to the nearest 10000. 70000 Round 0.2583 to 2 decimal places. 0.26 Round -0.00000032567 to seven dps. -0.0000003 What is 2.8476 rounded to 1 decimal place? 2.8 What is -78600 rounded to the nearest 100? -78600 What is -1158900 rounded to the nearest 100000? -1200000 Round -7752200 to the nearest one hundred thousand. -7800000 Round -0.051133 to 2 decimal places. -0.05 Round 0.000001747 to 7 dps. 0.0000017 Round -0.000001383 to 7 decimal places. -0.0000014 What is 582180 rounded to the nearest one thousand? 582000 What is -66.356 rounded to one decimal place? -66.4 What is -17.539 rounded to one dp? -17.5 What is -0.003401 rounded to 4 decimal places? -0.0034 Round -14580000 to the nearest 1000000. -15000000 What is -579 rounded to the nearest 10? -580 Round -87358000 to the nearest 100000. -87400000 Round -5179700 to the nearest 100000. -5200000 What is 390.6 rounded to the nearest 100? 400 What is 0.000006648 rounded to six decimal places? 0.000007 What is 193.1 rounded to the nearest 100? 200 Round 0.080597 to two dps. 0.08 What is -0.2728 rounded to 1 dp? -0.3 What is -0.0032686 rounded to 4 dps? -0.0033 What is -6.985 rounded to the nearest integer? -7 What is -293600 rounded to the nearest 10000? -290000 Round 312970 to the nearest 10000. 310000 Round 15.12 to the nearest 10. 20 What is -0.0082002 rounded to 4 dps? -0.0082 What is 0.09979 rounded to three dps? 0.1 What is 75.9 rounded to the nearest integer? 76 What is -488.2 rounded to the nearest one hundred? -500 What is 4.8347 rounded to 1 dp? 4.8 Round 0.001664 to 5 decimal places. 0.00166 Round 129012000 to the nearest 1000000. 129000000 Round -1.0687 to 2 decimal places. -1.07 What is -524.5 rounded to the nearest one hundred? -500 What is 593.7 rounded to the nearest 100? 600 What is 0.000191207 rounded to five decimal places? 0.00019 What is 0.0002113 rounded to four decimal places? 0.0002 What is 141.978 rounded to the nearest 10? 140 Round -20590000 to the nearest one million. -21000000 Round -0.00000530748 to 7 dps. -0.0000053 What is 722.57 rounded to the nearest one hundred? 700 What is 16.559 rounded to 1 decimal place? 16.6 What is -0.00035122 rounded to six dps? -0.000351 What is 22150 rounded to the nearest one thousand? 22000 What is 0.058878 rounded to three dps? 0.059 Round 0.001593 to four dps. 0.0016 What is -3.33 rounded to the nearest integer? -3 Round -557510 to the nearest ten thousand. -560000 Round -2261900 to the nearest 10000. -2260000 Round -1754850 to the nearest one hundred thousand. -1800000 What is -0.037926 rounded to two dps? -0.04 What is -185.46 rounded to the nearest 10? -190 What is -12.467 rounded to the nearest integer? -12 What is 0.000002
{ "pile_set_name": "DM Mathematics" }
4*l**8 + 45*l**2 - 1/4*l**5 + 0*l + 3/40*l**6 + 0 - 21/16*l**4 - 9/4*l**3. Factor t(h). -3*(h - 3)**2*(h + 1)**3/2 Let f(s) be the third derivative of 0 + 0*s - 5/6*s**3 - 11*s**2 - 3/16*s**5 - 25/24*s**4. Factor f(j). -5*(j + 2)*(9*j + 2)/4 Let v(u) be the third derivative of 0 + 0*u**3 + 11*u**2 + 1/30*u**6 + 1/6*u**4 + 2/15*u**5 + 0*u. Determine c so that v(c) = 0. -1, 0 Let l = -1187 + 1189. Suppose 0*n + 0*n**l + 0 - 3/2*n**3 = 0. What is n? 0 Let r(k) be the first derivative of -3/2*k**2 - 1/20*k**6 + 0*k**3 - 5 + 1/12*k**4 - 1/15*k**5 + 0*k. Let u(y) be the second derivative of r(y). Factor u(v). -2*v*(v + 1)*(3*v - 1) Let m(u) be the second derivative of 0*u**2 + 5/12*u**3 + 0 - 1/8*u**5 + 0*u**4 + 13*u. Suppose m(d) = 0. Calculate d. -1, 0, 1 Suppose 208*k - 36*k = 0. Determine s, given that 1/5*s**2 + s + k = 0. -5, 0 Suppose 18*y = 27*y - 54. Let i(j) be the third derivative of 1/945*j**7 + 4*j**2 + 0*j + 0 - 1/90*j**5 + 0*j**y + 0*j**3 - 1/54*j**4. Factor i(w). 2*w*(w - 2)*(w + 1)**2/9 Let o(c) be the first derivative of -2*c**3/15 + 67*c**2/5 + 136*c/5 - 38. Suppose o(q) = 0. What is q? -1, 68 Suppose -3*n + 5*l - l = 49, -15 = n - l. Let p = n + 13. Let 78 - 14 + 10*u + 4*u**p + 22*u = 0. What is u? -4 Determine g, given that 454*g**2 - 27*g - 14 - g**3 - 13 - 463*g**2 = 0. -3 Suppose 197 = 3*d + 5*f - 89, -4*f = -8. Suppose -10 = 90*v - d*v. Find i such that i**3 - 1/3*i**4 + 2/3*i - 1/3*i**v + 0 + 5/3*i**2 = 0. -1, 0, 2 Let t be (-3)/15*(508/(-1143) + (-172)/18). Find r such that 1/3*r**t + 0*r + 1/3*r**3 + 0 = 0. -1, 0 Let j = -52 + 57. Suppose z - j*p = -5, 2*z - 3*p + 3 = -3*z. Suppose -1/4*t**2 + z*t + 1/4*t**3 + 0 = 0. Calculate t. 0, 1 Suppose 14*d - 32 = -1306. Let l = -88 - d. What is i in -15/4*i - 3/4*i**l - 3*i**2 - 3/2 = 0? -2, -1 Let o be (-6)/((-2)/((245/(-5))/7 - -8)). Find g such that -19/4*g**2 + 25 + 20*g + 1/4*g**o = 0. -1, 10 Let k(m) = -12*m**2 - 14*m - 4. Let j be 7 - -7 - 4*1. Let a(d) = -d**2 - d - 1. Let i(x) = j*a(x) - k(x). Factor i(u). 2*(u - 1)*(u + 3) Let l(n) = 2*n**3 + 148*n**2 + 689*n - 69. Let i be l(-69). Factor -3/5*h**3 - 1/5*h**4 + i - 1/5*h - 3/5*h**2. -h*(h + 1)**3/5 Let m(r) be the second derivative of -r**6/780 + r**4/156 + 11*r**2/2 - 11*r. Let h(q) be the first derivative of m(q). Factor h(v). -2*v*(v - 1)*(v + 1)/13 Let g = -2066 - -2068. Let h(c) be the second derivative of 0*c**g - 5*c - 1/6*c**4 - 1/10*c**5 + 0 - 1/12*c**3. Let h(m) = 0. What is m? -1/2, 0 Let x be (-54)/20*(0 - 6/9). Let s be 7/3 + 10/15. Let -1/5 - 27/5*j**s - 27/5*j**2 - x*j = 0. What is j? -1/3 Suppose -6 = -11*a + 8*a. Let f be (5 - a) + (-2 - -2). Let 3/4*j + 1/4*j**4 - 3/4*j**f + 1/4*j**2 - 1/2 = 0. Calculate j. -1, 1, 2 Factor -8/3*a + 0 + 2/3*a**4 + 22/3*a**2 + 2/3*a**5 - 6*a**3. 2*a*(a - 1)**3*(a + 4)/3 Let n be 22 + -26 + 1880/220. Solve 24/11*b**2 + 0 - n*b**5 + 0*b + 190/11*b**4 - 128/11*b**3 = 0. 0, 2/5, 3 Let d be (-7)/21*(-6)/4. Let o(p) be the first derivative of -5 - 1/10*p**5 - p + d*p**3 + 1/8*p**4 - 1/4*p**2. Find x, given that o(x) = 0. -1, 1, 2 Let v(p) = 4*p + 17. Let c be v(-3). Let y(j) be the third derivative of 1/40*j**c - 1/240*j**6 + 0*j - 1/24*j**4 - 5*j**2 + 0*j**3 + 0. Solve y(x) = 0. 0, 1, 2 Find b such that 512/3 + 1088/3*b + 2/3*b**4 + 214*b**2 + 68/3*b**3 = 0. -16, -1 Let f(w) = 51*w**2 + 2*w + 7. Let y be f(-2). Suppose 2*v = y - 203. Determine s so that -5/6*s - 1/6 - 2/3*s**v = 0. -1, -1/4 Find n such that 5832/7 + 11448/7*n - 212/7*n**3 + 2/7*n**4 + 5402/7*n**2 = 0. -1, 54 Let f(a) be the first derivative of a**4/4 - 3*a**2/2 + 2*a + 120. Solve f(v) = 0. -2, 1 Suppose -4*w = u + 22, -52 + 72 = u - 3*w. Factor 2/7*n**u - 6/7*n - 8/7. 2*(n - 4)*(n + 1)/7 Factor 89*f + 173 - f**2 + 3*f**2 - 173 + 149*f. 2*f*(f + 119) Let y(i) be the first derivative of -5*i**4/4 + 10*i**3 + 5*i**2/2 - 30*i - 40. Find r, given that y(r) = 0. -1, 1, 6 Let i(z) be the first derivative of -z**4/2 - 4*z**3 + 300. Factor i(l). -2*l**2*(l + 6) Let i be (-6)/8 + 91/84 + 30/90. Factor -2/3 - i*g**2 - 4/3*g. -2*(g + 1)**2/3 Find f, given that -600/19*f - 2/19*f**3 + 2000/19 + 60/19*f**2 = 0. 10 Let n(f) be the first derivative of -f**6/60 - 3*f**5/40 - f**4/8 - f**3/12 + 3*f - 3. Let d(k) be the first derivative of n(k). Factor d(g). -g*(g + 1)**3/2 Suppose -3*i - 5*s + 5 = 0, -i = i - 5*s - 20. Let u be i + 6*1/(-2). Factor -2/5 - 2/5*a**u + 4/5*a. -2*(a - 1)**2/5 Let r(f) = f**3 - 2*f**2 + 2*f + 2. Let v be r(2). Suppose -v*o - 18 = -12*o. Find x, given that 8/13 - 6/13*x**2 + 0*x - 2/13*x**o = 0. -2, 1 Find q such that -27*q - 15 - 12/5*q**3 - 72/5*q**2 = 0. -5/2, -1 Let i(m) be the second derivative of m**4/6 + m**3 + 2*m**2 - 20*m. Factor i(a). 2*(a + 1)*(a + 2) Suppose -2*x - 10 = -7*x. Let z(v) be the first derivative of -3/8*v + 1/24*v**3 - 4 + 1/8*v**x. Suppose z(i) = 0. Calculate i. -3, 1 Let s(a) = 15*a**2 + 60*a - 54. Let c(y) = y**2 - y - 1. Let q(u) = -6*c(u) + s(u). Factor q(j). 3*(j + 8)*(3*j - 2) Let j(s) be the second derivative of s**5/20 + 11*s**4/6 + s + 25. Factor j(p). p**2*(p + 22) Let m(p) be the first derivative of -4/11*p - 1/22*p**4 + 3/11*p**2 + 0*p**3 - 16. Factor m(z). -2*(z - 1)**2*(z + 2)/11 Let f be ((-32)/9)/((-24)/18). Factor 2/3*d**3 + f*d**2 + 8/3*d + 0. 2*d*(d + 2)**2/3 Let y = 76121/14271 - 3/4757. Solve -8/3*z - y*z**2 - 2*z**3 + 0 = 0. -2, -2/3, 0 Let r(w) be the third derivative of -w**6/24 - 4*w**5 - 275*w**4/2 - 4840*w**3/3 - w**2 - 314*w. Factor r(h). -5*(h + 4)*(h + 22)**2 Let o(a) be the first derivative of 3 - 7/10*a**5 - 18*a**2 - 25*a**3 - 22/3*a**4 - 3*a. Let c(p) be the first derivative of o(p). Factor c(n). -2*(n + 3)**2*(7*n + 2) Let d(l) be the second derivative of -l**6/40 + 7*l**4/16 - 3*l**3/4 + 71*l - 4. Factor d(j). -3*j*(j - 2)*(j - 1)*(j + 3)/4 Let q = -34 - -38. Factor 12*u**q - 15*u**4 - 3*u + 2*u**4 + 2*u**2 + 3*u**3 - u**2. -u*(u - 3)*(u - 1)*(u + 1) Let m(z) be the third derivative of z**5/210 + 5*z**4/84 + 2*z**3/7 + 46*z**2. Factor m(l). 2*(l + 2)*(l + 3)/7 Let x(f) = f**2 - f + 1. Let w(c) = -2*c + 7. Let b(k) = -k + 8. Let v be b(11). Let m be (-5 - (v + 0)) + -3. Let r(t) = m*x(t) + w(t). Factor r(i). -(i - 1)*(5*i + 2) Suppose -l = l. Suppose -4*x - 2*v + 6 = 0, 0 = x + v - l - 1. Suppose x*b**2 - 6*b + 8*b - 4*b**2 = 0. What is b? 0, 1 Let b be (-16)/(-6) - 11/(-33). Suppose 4*s + k - b = 3*s, 3*s - k - 5 = 0. Let 0 + 0*y + 1/9*y**4 - 1/9*y**3 - 1/9*y**s + 1/9*y**5 = 0. What is y? -1, 0, 1 Let v(o) be the third derivative of -o**5/60 + 65*o**2. Suppose 2*h - 1 = 3*h. Let n(c) = -5*c**2 - 3*c - 1. Let x(p) = h*n(p) + 3*v(p). Factor x(g). (g + 1)*(2*g + 1) Let z(j) = j**2 - 14*j. Let c be z(14). Determine h so that 3/7*h**4 + 0 - 6/7*h**3 + c*h + 3/7*h**2 = 0. 0, 1 Let c(f) = f**2 - 13*f + 2. Let l be c(13). Factor l + 2*n - 8*n - 4 - 4*n**2 + n - n**3. -(n + 1)**2*(n + 2) Suppose 62*m + 18 = 68*m. Let a(l) be the third derivative of -1/40*l**5 + 5/32*l**4 + 0 + 10*l**2 - 1/32*l**6 + 0*l + 1/4*l**m. Factor a(u). -3*(u - 1)*(u + 1)*(5*u + 2)/4 Let x(k) be the third derivative of 0*k - 8*k**2 - 1/50*k**5 + 0 - 1/40*k**4 + 1/5*k**3 + 1/200*k**6. Factor x(n). 3*(n - 2)*(n - 1)*(n + 1)/5 Let a(v) be the second derivative of 3*v**5/40 - v**4/8 - v**3 + 3*v**2 - 46*v. Factor a(b). 3*(b - 2)*(b - 1)*(b + 2)/2 Let a(k) be the second derivative of -k + 0 - 11/16*k**3 + 13/32*k**4 - 3/40*k**5 + 3/8*k**2. Factor a(s). -3*(s - 2)*(s - 1)*(4*s - 1)/8 Suppose -16*i = -17*i - 146. Let l = i + 180. What is y in 48*y**4 - 18*y**5 + 56/3*y - l*y**3 - 16/3 - 28/3*y**2 = 0? -2/3, 2/3, 1 Let o(q) = 2*q**2 - q + 3. Let i(b) = 6*b**2 - 62*b + 12. Let j(r) = -i(r) + 4*o(r). Factor j(s). 2*s*(s + 29) Suppose -b + 5*b - 16 = 0. Suppose -35*g**3 + 0*g**2 + 34*g**3 - g**b + g**2 + g**5 = 0. Calculate g. -1, 0, 1 Let t(b) be the first derivative of b**6/720 + 11*b**5/240 + 17*b**3 - 12. Let d(q) be the third derivative of t(q). Find u, given that d(u) = 0. -11, 0 Solve 0*h + 2/7*h**3 + 0 - 6/7*h**2 = 0. 0, 3 Let l(r) = 12*r**4 + 122*r**3 + 304*r**2 + 253*r + 4. Let q(b) = -4*b**4 - 41*b**3 - 101*b**2 - 84*b. Let s(n) = 4*l(n) + 11*q(n). Factor s(o). (o + 1)*(o + 4)**2*(4*o + 1) Let y be 7/28*8*1. Factor -5*f**5 - 10*f**4 - 9*f**5 - 14*f**4 - 6*f**3 + 4*f**
{ "pile_set_name": "DM Mathematics" }
f(x) = -x**2 - 2*x + 2. Let o be f(-3). Let b = 469 - 452. Let c = b + o. What are the prime factors of c? 2 Suppose -1612 = -4*a + 4*s, 5*s + 182 = -a + 591. Suppose a = -3*c + 7*c. What are the prime factors of c? 101 Let f be (1/2)/((-2)/(-8)). Suppose 1 = n, -f*b - 13 = -5*n - 138. What are the prime factors of b? 5, 13 Suppose -4*b + b = 3*m - 9, -2 = -4*b - 2*m. Let t(o) = o**2 - 2. Let x be t(b). Suppose 25 + 31 = x*i. List the prime factors of i. 2, 7 Let m(g) be the third derivative of g**5/60 + g**4/2 + 19*g**3/3 + 11*g**2. List the prime factors of m(-12). 2, 19 Let p = 1134 + 1265. List the prime factors of p. 2399 Let k(c) = -c + 3. Let y be k(-4). Suppose -5*w = y*w - 360. What are the prime factors of w? 2, 3, 5 Let d(t) = -t**2 + 2*t + 22. Let i be d(0). What are the prime factors of i/(-4)*(-6 - -4)? 11 Let s be 7 - 2 - (-16 + 14). Suppose -17*d = -18*d + s. What are the prime factors of d? 7 What are the prime factors of 2/(-24) + 499428/432? 2, 17 Let a(m) = -17 - 17 + 11 + 3*m. Let l be a(10). Suppose -g + 15 = -l. List the prime factors of g. 2, 11 Let r be (-1340)/(-35) - 2/7. Suppose 4*v + 2 = -3*l - 4, 3*l + 6 = -2*v. Let x = r + v. List the prime factors of x. 2, 19 Let v(j) = -j**2 - 7*j + 9. Let u be v(-9). List the prime factors of 20/(3 + 21/u). 2, 3, 5 Suppose 6*p - 2*p = 24. Let z(b) = 4*b**2 - 11*b + 19. What are the prime factors of z(p)? 97 Suppose 0 = t - 1 - 1. Suppose -t*q + 17 = -q. List the prime factors of q. 17 Let w(k) = 4*k + 1. Let b be w(1). Suppose -b*p + 208 = -522. List the prime factors of p. 2, 73 Let n(c) = c**3 + 6*c**2 + 3*c + 9. Let k = 3 + -9. Let o be n(k). Let v = 0 - o. List the prime factors of v. 3 Let a = -15 - -19. Suppose -a*c + 221 = -15. Let o = 117 - c. List the prime factors of o. 2, 29 Suppose 0 = x - 5*t - 203 - 520, -1446 = -2*x - 3*t. What are the prime factors of x? 3, 241 Let w(s) = 2*s + 12. Let d be w(-8). Let l = d - -9. Suppose 0 = -2*i + 4*h - h - 3, -4*i = -l*h + 3. What are the prime factors of i? 3 Suppose -8*i + 5706 = i. What are the prime factors of i? 2, 317 Let u = 547 - -73. Suppose -9*r + 4*r = -u. List the prime factors of r. 2, 31 Let l(u) be the first derivative of u**5/20 + u**4/12 - u**3/6 + 2*u**2 - u + 1. Let y(z) be the first derivative of l(z). What are the prime factors of y(0)? 2 Let x be -6 + 1/(-4 + (-7)/(-2)). Let a(f) = -f**2 - 8*f + 26. List the prime factors of a(x). 2, 13 Let s be -2 + 2 + -6 + -164. Let d = -65 - s. What are the prime factors of d? 3, 5, 7 Suppose -2285 = -5*y - 5*q, -2*q = -5*y + 2*q + 2249. What are the prime factors of y? 3, 151 Suppose -18*u + 1620 + 11754 = 0. List the prime factors of u. 743 Let n = 92 + -80. What are the prime factors of (32/n + -1)/((-3)/(-27))? 3, 5 Let q be ((-12)/(-18))/((-8)/(-1020)). Suppose -q + 146 = x. List the prime factors of x. 61 Let j(a) = 10*a**3 + 6*a**2 + 10*a - 3. What are the prime factors of j(4)? 773 Suppose 148 = 4*f - 5*s, -5*f - 4*s + 301 = 75. Let k be 3/2*56/f. Suppose k*q - 8*q + 36 = 0. List the prime factors of q. 2, 3 List the prime factors of 1945/4*128/80. 2, 389 What are the prime factors of 9/(216/33376) + (-2)/(-6)? 13, 107 Let a = -22 + 54. Let z = -28 + a. List the prime factors of (1 - z)/(51/(-1088)). 2 Suppose 0 = -6*u + 7270 + 11006. What are the prime factors of u? 2, 1523 Suppose 23 + 32 = -5*f. Let a = f - -12. Suppose a + 14 = 5*l. What are the prime factors of l? 3 Suppose -z - 5*o + 170 = -173, 4*z = -o + 1372. What are the prime factors of z? 7 Let s be 17 + -1 + (0 - -2). Let y = -16 + s. Suppose -y*q - 2*q = -168. What are the prime factors of q? 2, 3, 7 Suppose -r = -4*r + 114. Suppose -r*a = -33*a - 4600. List the prime factors of a/14 + 4/14. 2, 3, 11 Suppose 22*t = 19*t + 81. List the prime factors of t. 3 Suppose -13*g = -17*g - 20. Let s be (-23)/(0/g + -1). Let w = s + -15. List the prime factors of w. 2 What are the prime factors of 101/((-5)/10*-4)*10? 5, 101 Suppose 2*o = -u + 1, -1 - 2 = -3*u - o. Suppose 4*r = -4, -f - r + u = -3*f. Let b(w) = -61*w - 3. List the prime factors of b(f). 2, 29 Let t = 459 - 18. What are the prime factors of t? 3, 7 Let p(w) = 2*w. Let j be p(-2). Let u = j - -7. Suppose 2*i = -u*x + 3*i + 68, -5*x + 4*i + 111 = 0. List the prime factors of x. 23 Let z(g) = 4*g - 26. Suppose -3*f = -d + 2 - 31, -3*d - 43 = -5*f. Let n be z(f). List the prime factors of 20/3*n/4. 2, 3, 5 Suppose 39*l = 2408 + 3364. List the prime factors of l. 2, 37 Suppose -13*l = -0*l + 442. Let t = 37 - l. List the prime factors of t. 71 Let s(t) = t**3 - 14*t**2 + 8. Let c be s(14). Suppose -c*k = -13*k. Suppose 3*o = -k*o + 69. List the prime factors of o. 23 Let p(h) = h + 5. Let s(w) = -4. Let r(i) = 1. Let a(b) = 6*r(b) + s(b). Let v(g) = -5*a(g) + 3*p(g). List the prime factors of v(9). 2 Suppose 36*k - 315 = 35*k. List the prime factors of k. 3, 5, 7 Suppose 3*h - 3 = 6*h. Let p = -1 + h. Let v = p + 14. What are the prime factors of v? 2, 3 List the prime factors of ((-688)/32)/(1*2/(-364)). 7, 13, 43 Let w be -2 - (-7)/(21/6). Let q = 3 + w. Suppose -q*o + 12 = -0. What are the prime factors of o? 2 Let x(c) = -757*c + 197. What are the prime factors of x(-2)? 29, 59 Let v(b) = 20*b**2 - 7*b - 9. Let w be v(-3). Let c = -59 + w. List the prime factors of c. 7, 19 Let o = -11 + 16. Suppose 2*w + o = -y, -y - y + 18 = -3*w. List the prime factors of ((-6)/w)/((-39)/(-572)). 2, 11 Let f(x) be the second derivative of -x**5/20 - 11*x**4/12 + 11*x**3/6 - x**2 - 4*x. List the prime factors of f(-12). 2, 5 Let m(q) = q**2 - 11*q + 1. Let n be m(10). Let s = -5 - n. Suppose -o + 15 = a, 3*a + 2*a + 33 = s*o. List the prime factors of o. 2, 3 Let l = 5901 + -2651. What are the prime factors of l? 2, 5, 13 Let v = 418 - 149. Let o = 380 - v. Suppose -2*y - 29 = -4*i - o, 2*y - 89 = -3*i. List the prime factors of y. 43 Suppose -2*i + 1 = -2*z - 1, -5*z - 5*i = -25. Suppose -z*p = -2*y - 22, 0*p + p = -4*y + 1. What are the prime factors of ((-84)/p)/(2/(-3))? 2, 7 Let b(c) be the third derivative of -c**5/60 - 3*c**4/4 + c**3/3 - 22*c**2. List the prime factors of b(-9). 83 Let u(c) = -c**2 + 8*c - 4. Let f be u(6). Suppose f = -13*v + 17*v. Suppose 72 = v*z + 20. What are the prime factors of z? 2, 13 List the prime factors of (-56950)/(-275) - 2/22. 3, 23 Let g be (0 + 2)*(2/(-4) + 4). Let p(j) = -2*j + 13. Let k(c) = -2*c + 12. Let w(l) = -3*k(l) + 4*p(l). What are the prime factors of w(g)? 2 Let o = -6 - -16. Let c = -15 + o. What are the prime factors of (2/(-5))/(c/75)? 2, 3 Suppose -4347 = -3*k - 5*w, 16*w = -3*k + 15*w + 4335. List the prime factors of k. 2, 19 Suppose 0 = 12*z - 18126 + 6186. List the prime factors of z. 5, 199 Suppose -2*w + 4*k = -18, 0 = k - 6*k - 10. Let l = 9 - w. Suppose -4*s + l = -5*j, s = -3*s - 4*j + 40. List the prime factors of s. 2, 3 Let i(d) = 8*d**2 + d**3 - 5*d + 0*d - 3*d**2 + 4*d. Let p be i(-5). Suppose 199 = p*y + u, 5*y - 3*u = 2*u + 175. List the prime factors of y. 3, 13 Let k be -613*(1 - -11)/(-6). Suppose 5*o - k = -306. What are the prime factors of o? 2, 23 Let l(p) = 26*p**2 + 3*p + 2403. What are the prime factors of l(0)? 3, 89 Suppose 841 = 3*f + j, -f - 5*j - 103 = -388. Suppose -3*h - 2*v + 181 = -7*v, 3*v - f = -4*h. List the prime factors of h. 67 Suppose 3*u + g - 1874 + 657 = 0, 0 = 4*g + 4. List the prime factors of u. 2, 7, 29 Let m(o) = -4*o**2 + 35*o + 11. Let b be m(9). Suppose -r = -3*d - 64, r - 52 = -3*d + 24. Suppose -3 + 23 = -4*i, 4*i + r = b*n. List the prime factors of n. 5 Let d = -3321 + 6823. List the prime factors of d. 2, 17, 103 Suppose -40 = -t + 5*t. Let g be t/40 - 5/(-4). List the prime factors of g - -19 - (-4)/(-2). 2, 3 Let x(o) = -o**2 + 10*o - 12. Let i be x(9). What are the prime factors of (-2 - i)*274*2/2? 2, 137 Suppose 4 = 7*h - 31. Let f(y) = -y**2 - 4*y + 5. Let i be f(-4). Suppose -h*k = i*c - 0*c, -4*k = -c + 20. What are the prime factors of c? 2 Suppose 0 = 2*w - 16 - 18. Suppose 2*p = -1 + w. What are the prime factors of 159/7 + p/28? 23 Suppose -m - 2 = -3*m. Let a(b) = -b**3 - b**2 - 1. Let q(j) = -7*j**2 - 14*j - 9. Let k(t) = m*a(t) - q(t). What are the prime factors of k(7)? 3, 19 Let s be 1/5 - 898/(-10). Let i = -53 + s. L
{ "pile_set_name": "DM Mathematics" }
(-1 - -3)*(i + -2). What is the first derivative of -6 - 2*x**t + 3 + 0*x**2 - 3*x**2 wrt x? -10*x Let q(w) = w - 22. Let d be q(12). Let x be (-2)/10 + (-72)/d. Find the second derivative of -2*g**4 - 9*g - x*g + 5*g + 10*g**4 wrt g. 96*g**2 Let r(m) = 2*m**4 - 26*m - 3. Let n(d) = 695*d**3 - 695*d**3 + d**4 + 1. Let u(j) = 3*n(j) + r(j). Find the second derivative of u(y) wrt y. 60*y**2 Suppose -2*o - 15 = 19. Let k = 21 + o. Find the second derivative of 2 + 0 - 4*w - 2 + 2*w**k wrt w. 24*w**2 What is the second derivative of -1735*j + 1741*j - 1 + 1 + j**4 - j**2 wrt j? 12*j**2 - 2 Let t(s) = 27*s**2 - 4 + 3 - 26*s**2 + 0. Let n(i) = -34*i**2 - 42. Let m(y) = n(y) + 4*t(y). Find the first derivative of m(u) wrt u. -60*u Let d(k) = 12*k**4 - 12*k**3 + 183*k + 5. Let z(x) = 2*x**4 + x + 1. Let a(h) = d(h) - 5*z(h). What is the second derivative of a(r) wrt r? 24*r**2 - 72*r Let t be (4 + -3 + 2)*8. Let s = -19 + t. Differentiate -1 + 11*q**4 - 4 - s - 5*q**4 wrt q. 24*q**3 Let t(r) be the first derivative of -3*r**5/4 + 5*r**4/4 - 16*r + 17. Let n(c) be the first derivative of t(c). What is the third derivative of n(s) wrt s? -90 Let i be 4/12*9 + 0. What is the first derivative of -i - 14*t**4 - 14*t**3 + 14*t**3 wrt t? -56*t**3 Suppose -3*r - 2*q = -4*q - 19, 4*q + 26 = 2*r. Find the third derivative of -4*b**2 + b**2 + r*b**4 + b**4 + 0*b**2 wrt b. 96*b Let v(h) = -h**3 - h**2 + 2. Let k(l) = 350*l**3 - 2*l**2 - 369*l + 4. Let n(q) = -k(q) + 2*v(q). What is the second derivative of n(j) wrt j? -2112*j Let h(j) = -j**3 + 3*j**2 + 5*j - 4. Let s be h(4). Suppose -4*i + 15 = 7. Find the third derivative of -3*q**2 + s*q**i + 5*q**2 + 3*q**3 wrt q. 18 Let f(y) be the first derivative of 115*y**3/3 + 17*y**2/2 - 2*y + 399. Find the second derivative of f(b) wrt b. 230 Suppose 147 = -2*w - w. Let k be (-4)/14 - 112/w. Differentiate 4 - 6*j + k - 5 + 4 with respect to j. -6 Let b(f) be the first derivative of 17*f**4/24 + 9*f**3/2 + 31*f**2/2 - 12. Let d(i) be the second derivative of b(i). Find the first derivative of d(g) wrt g. 17 Let r(x) be the third derivative of x**8/120 - x**6/72 + 4*x**3/3 - 17*x**2. Let a(y) be the first derivative of r(y). Find the third derivative of a(w) wrt w. 336*w Let r(u) = -285*u**2 - 6*u - 156. Let x(z) = 1426*z**2 + 33*z + 781. Let k(a) = -11*r(a) - 2*x(a). What is the derivative of k(v) wrt v? 566*v What is the second derivative of -11 - 2*i + 48 - 54*i**2 + 333*i**2 wrt i? 558 Let l(u) be the first derivative of -2*u**5/5 - 7*u**2 - 122*u - 96. What is the first derivative of l(m) wrt m? -8*m**3 - 14 Suppose 3*x + x - 44 = 0. What is the third derivative of -x*t**3 + 16*t**3 - 6*t**2 - 3*t**3 wrt t? 12 Let w(a) be the third derivative of 7*a**2 + 0*a**3 + 0*a - 1/60*a**5 - 1/2*a**4 + 0. What is the second derivative of w(n) wrt n? -2 Let c(y) be the third derivative of 13*y**8/112 + 13*y**4/4 - 5*y**2. What is the second derivative of c(d) wrt d? 780*d**3 Differentiate 281 + 758*f - 758*f + 253*f**4 wrt f. 1012*f**3 Let c(f) be the first derivative of -5*f**7/14 + 7*f**4/6 + 3*f + 9. Let z(w) be the first derivative of c(w). Find the third derivative of z(o) wrt o. -900*o**2 Suppose 68 = 17*v - 0*v. Let j(i) be the third derivative of -1/30*i**5 - 4*i**2 + 0*i + 0*i**3 - 1/24*i**v + 0. What is the second derivative of j(d) wrt d? -4 Suppose 430 = 5*a - 1045. Find the third derivative of a*o**3 - 15*o**2 - 295*o**3 - 36*o**5 wrt o. -2160*o**2 Suppose -4*l = 2*l - 12. Find the second derivative of -12*f**l + 3*f - 4*f**2 + 8*f + f wrt f. -32 Let l(w) be the second derivative of -143*w**8/56 + w**4/6 + 14*w**2 - 109*w + 2. Find the third derivative of l(p) wrt p. -17160*p**3 Let p = -143 + 143. Let l(b) be the second derivative of -1/30*b**6 + 0*b**5 + p*b**3 + 0 + 0*b**2 + 5*b + 3/4*b**4. Find the third derivative of l(n) wrt n. -24*n Suppose 2*y = 2*f, 0 = -4*f + 3*y + 5 - 0. Suppose 3*r + 6 = f*r. Find the second derivative of -3*h - 3*h - 3*h - h**3 + r*h wrt h. -6*h Let z(i) = -2*i + 2. Let n(r) = r - 1. Let k(t) = -5*n(t) - 3*z(t). Let b be k(4). Find the third derivative of -2*h**b - 5*h**2 + h**3 + 6*h**3 + 0*h**2 wrt h. 30 Let j be (-3 - 1 - -2) + 10. Suppose 0 = -4*u + 3*b + 19, -b = u - 4 + 1. Find the second derivative of -u - j*m + m**2 + 4 + 9*m wrt m. 2 Let c(f) = -67*f**2 - 6*f + 91. Let t(y) = -y - 2. Let l(v) = c(v) - 6*t(v). Differentiate l(d) wrt d. -134*d Let b(c) be the first derivative of -2*c**5/5 - 427*c**4/4 + 112*c**3 - 756. What is the third derivative of b(t) wrt t? -48*t - 2562 Let t(i) = -7452*i + 11523. Let y(d) = 276*d - 427. Let h(b) = 6*t(b) + 161*y(b). Find the first derivative of h(s) wrt s. -276 Differentiate 58 + 44*l**4 + 31*l**4 - 77*l**4 - 30*l with respect to l. -8*l**3 - 30 Suppose 0 = b - 0 + 4, 4*z + b = -4. Suppose 3*i - i - 16 = z. What is the derivative of 0*c**2 + c**2 - i*c**2 - 6 + c**2 wrt c? -12*c Let v(k) be the third derivative of -k**9/56 + k**7/105 + k**5/20 - k**4/3 + 12*k**2 - 3*k. What is the third derivative of v(x) wrt x? -1080*x**3 + 48*x Let s(u) be the first derivative of -27/2*u**2 - 18 + 0*u + 0*u**4 + 0*u**3 + 6/5*u**5. What is the second derivative of s(z) wrt z? 72*z**2 Let r(x) = -13*x. Let o(u) = -113*u - 748. Let y(f) = o(f) + 5*r(f). What is the derivative of y(k) wrt k? -178 Let v(b) = 197*b - 174*b + 5*b**2 - 3*b**3 - 6*b**3. Let y(a) = 5*a**3 - 2*a**2 - 11*a. Let d(w) = 2*v(w) + 5*y(w). Find the second derivative of d(l) wrt l. 42*l Differentiate 9 - 2*p - 59 - 34*p with respect to p. -36 Let f be 4 - (-5 + 0) - 5. Let w(g) be the third derivative of -1/12*g**f + 0*g + 0 + 2/3*g**3 + 5*g**2. What is the derivative of w(t) wrt t? -2 Let f = -68 + 524. Differentiate -22 + f*b - 456*b + 8*b**3 wrt b. 24*b**2 Find the first derivative of -3 - 4 + 104*k - 8 + 3 wrt k. 104 Let n(y) be the first derivative of 222*y**5/5 + 360*y - 396. What is the first derivative of n(p) wrt p? 888*p**3 Let j(m) = 191*m**3 + 428*m. Let r(i) = i. Let y(c) = -j(c) + 4*r(c). What is the second derivative of y(h) wrt h? -1146*h Let s(i) be the second derivative of -i**8/168 - 5*i**4/24 + 13*i**3/6 - 2*i. Let l(b) be the second derivative of s(b). What is the derivative of l(g) wrt g? -40*g**3 Let y(o) = -4*o**5 - 18*o**4 - 3*o**3 - 3*o**2 + 3. Let h(t) = t**4 + t**3 + t**2 - t + 2. Let d(x) = -3*h(x) - y(x). Find the second derivative of d(u) wrt u. 80*u**3 + 180*u**2 What is the second derivative of 23879 + 15*q - q**4 + 34*q**3 - 23879 wrt q? -12*q**2 + 204*q Let x(b) = -187*b**3 + 5*b**2 + 1. Let f(r) = -186*r**3 + 6*r**2 - r + 3. Let i(s) = -5*f(s) + 6*x(s). What is the second derivative of i(q) wrt q? -1152*q Let b be 1/(-2)*(-8 - -6). Suppose 0 = 5*t - 24 - b. What is the derivative of 3 + 4*c**4 - t + 4 wrt c? 16*c**3 Let m(s) be the first derivative of 0*s**2 + 0*s**3 - 24 + 1/4*s**4 + 19*s. What is the first derivative of m(c) wrt c? 3*c**2 Suppose 2*k = -k - 9. Let s = k + 5. What is the third derivative of 5*v**s + 2*v**5 - 2*v**5 + 5*v**5 wrt v? 300*v**2 Let k(i) be the first derivative of 10*i + 0*i**2 + 15 - 28/3*i**3. Find the first derivative of k(n) wrt n. -56*n Suppose -6 = -4*p + 6*h - 4*h, 3*h = -p + 12. What is the second derivative of -23*u + 24*u + 2*u**2 - 4 + p - u**2 wrt u? 2 Let i(w) be the first derivative of 13*w**3 + 97*w**2/2 - 77. What is the second derivative of i(c) wrt c? 78 Let n be 2/(-2) - (-1 - 10). Suppose y = -q + 4*y + n, -2*q = 3*y - 2. What is the second derivative of a**q + 2*a + a - 6*a**4 wrt a? -60*a**2 Suppose 30 = -5*m - 3*y, 0 = 3*y + 15. Let k be 20/14 + m/7. Differentiate q**4 + 3*q**4 + k + q - q wrt q. 16*q**3 Let d be 30/345 - (48/23 - 2). Let x(m) be the third derivative of d*m**4 - m**3 + 0 - 2*m**2 + 0*m - 1/20*m**5. Differentiate x(o) with respect to o. -6*o What is the second derivative of 4*k**3 - 6*k**3 - 242*k - 3*k**3 + 244*k wrt k? -30*k Suppose -h + 8 = 3*g + 20, 0 = -3*g - 12. Let b(y) be the second derivative of h + 1/6*y**3 + y + 5/2*y**2. Differentiate b(w) with respect to w. 1 Let q(f) be the third derivative of 7*f**6/10 - f**5/60 + 5*f**4/24 + 7*f**3/3 - 137*f**2. Find the second derivative of q(y) wrt y. 504*y - 2 Let k(m) = 101*m - 43. Let r(v) = -50*v + 21. Let l(n) = -3*n + 17. L
{ "pile_set_name": "DM Mathematics" }
16, 4451? 4794 What is the next term in 98927, 98929, 98931? 98933 What comes next: 153, 783, 1427, 2091, 2781, 3503, 4263? 5067 What comes next: 123476, 123488, 123514, 123560, 123632? 123736 What comes next: 76, 261, 550, 937, 1416? 1981 What is next in 6132, 6156, 6200, 6270, 6372? 6512 What comes next: -10063, -10048, -10033, -10018, -10003, -9988? -9973 What comes next: 3065574, 3065575, 3065576? 3065577 What is the next term in 74, 138, 202, 266, 330, 394? 458 What is next in -7193, -7176, -7163, -7160, -7173, -7208, -7271? -7368 What is next in 4544, 4617, 4812, 5189, 5808, 6729, 8012? 9717 What comes next: -3157, -3196, -3235, -3274? -3313 What comes next: -911, -1821, -2737, -3659, -4587? -5521 What is the next term in 330, 747, 1244, 1821, 2478? 3215 What is next in -845, -3336, -7511, -13376, -20937? -30200 What is next in -5, -30, -73, -152, -285, -490, -785? -1188 What comes next: 11325, 22684, 34043, 45402, 56761? 68120 What comes next: -51, -260, -595, -1044, -1595, -2236, -2955, -3740? -4579 What comes next: 51, 17, -167, -573, -1273, -2339? -3843 What is the next term in 589168, 589163, 589158, 589153, 589148? 589143 What is the next term in -5983, -5971, -5959? -5947 What is next in 546, 1106, 1680, 2274, 2894? 3546 What comes next: -6, 32, 84, 126, 134, 84, -48, -286? -654 What is the next term in -12184, -24356, -36530, -48712, -60908, -73124, -85366, -97640? -109952 What is the next term in 628, 1307, 1986, 2665, 3344, 4023? 4702 What is next in 943, 1834, 2693, 3526, 4339? 5138 What comes next: 562, 1068, 1522, 1924? 2274 What comes next: 701012, 1402028, 2103058, 2804108, 3505184? 4206292 What is next in -836, -1688, -2518, -3320, -4088, -4816, -5498? -6128 What is the next term in -1161, -1153, -1147, -1143, -1141, -1141, -1143? -1147 What is next in -9047, -9028, -8983, -8900, -8767? -8572 What is next in -3059, -6068, -9051, -11996, -14891? -17724 What is next in 13, 30, 59, 100, 153, 218, 295? 384 What is next in -1367, -2160, -2945, -3716, -4467, -5192, -5885, -6540? -7151 What comes next: 844, 1689, 2526, 3343, 4128? 4869 What comes next: -18297, -73189, -164675, -292755, -457429, -658697, -896559? -1171015 What comes next: -50663, -101327, -151993, -202661, -253331, -304003, -354677? -405353 What is next in -447, -1794, -4035, -7164, -11175, -16062? -21819 What comes next: 10313, 41185, 92639, 164675, 257293? 370493 What is next in 299, 402, 505? 608 What is next in 403, 775, 1137, 1483, 1807, 2103, 2365? 2587 What is next in 1712, 6865, 15456, 27485, 42952, 61857, 84200? 109981 What is next in -802, -3156, -7080, -12574, -19638, -28272? -38476 What is next in -8832, -17672, -26524, -35388? -44264 What is next in 213610, 427214, 640818, 854422? 1068026 What is next in 2493897, 2493899, 2493901, 2493903, 2493905, 2493907? 2493909 What is the next term in -276, -1049, -2330, -4119, -6416? -9221 What is next in 4254, 8538, 12822, 17106, 21390? 25674 What is the next term in 1182, 1674, 2170, 2670, 3174, 3682, 4194? 4710 What is next in 1799302, 3598603, 5397904, 7197205, 8996506? 10795807 What comes next: -158, -226, -296, -368, -442, -518? -596 What is next in 5219, 5209, 5177, 5111, 4999, 4829, 4589? 4267 What is the next term in 537758, 1075526, 1613294, 2151062, 2688830? 3226598 What comes next: -1430, -3034, -4652, -6290, -7954, -9650, -11384, -13162? -14990 What is the next term in 20025, 20012, 19991, 19962, 19925, 19880, 19827? 19766 What comes next: -135, -481, -1057, -1869, -2923? -4225 What is the next term in 99240, 99241, 99242, 99243, 99244, 99245? 99246 What comes next: -388, -407, -428, -451? -476 What comes next: -316, -365, -454, -589, -776, -1021, -1330? -1709 What comes next: -39394, -39364, -39336, -39310, -39286, -39264, -39244? -39226 What is the next term in 2, 26, 90, 218, 434, 762, 1226? 1850 What is the next term in 412, 1566, 3506, 6244, 9792, 14162? 19366 What comes next: -526, -1009, -1398, -1639, -1678, -1461? -934 What is next in -1725, -1201, -677, -153, 371, 895? 1419 What is next in -31392, -31400, -31420, -31458, -31520, -31612, -31740? -31910 What comes next: -13558, -13547, -13514, -13447, -13334? -13163 What comes next: -561, -2251, -5067, -9009? -14077 What is the next term in 2918, 5825, 8732, 11639, 14546? 17453 What is the next term in 13945, 27899, 41867, 55855, 69869, 83915? 97999 What is next in 11883, 23772, 35663, 47556, 59451, 71348, 83247? 95148 What is next in -1140, -1130, -1120, -1110, -1100, -1090? -1080 What is next in 413, 1451, 2849, 4337, 5645? 6503 What is next in -39767, -159102, -357993, -636440, -994443, -1432002, -1949117? -2545788 What is the next term in -6670, -6683, -6722, -6799, -6926, -7115, -7378? -7727 What is next in 39, 252, 827, 1944, 3783, 6524, 10347? 15432 What is the next term in -12336, -12314, -12278, -12222, -12140, -12026, -11874, -11678? -11432 What comes next: -587, -1312, -2035, -2756, -3475, -4192, -4907? -5620 What is the next term in -137, -1097, -3655, -8591, -16685, -28717, -45467, -67715? -96241 What is next in 1091, 2135, 3131, 4079, 4979? 5831 What is next in 20468, 20498, 20526, 20552? 20576 What is next in -18226, -36533, -54850, -73183, -91538, -109921? -128338 What is the next term in 258901, 258900, 258899? 258898 What comes next: -1173, -3804, -6449, -9114, -11805, -14528? -17289 What comes next: 105196, 210393, 315590, 420787, 525984? 631181 What comes next: 1466, 1475, 1510, 1583, 1706, 1891, 2150? 2495 What is next in -9001, -8893, -8783, -8671? -8557 What is the next term in -3028, -2422, -1816, -1210, -604, 2? 608 What is next in 123, 125, 61, -75, -289? -587 What is the next term in 2509, 5036, 7563, 10090, 12617, 15144? 17671 What comes next: -76169, -76193, -76217, -76241? -76265 What is the next term in 49, 92, 169, 298, 497, 784? 1177 What comes next: 87947, 175908, 263869? 351830 What comes next: -50, -107, -186, -287? -410 What is next in -449222, -449224, -449226, -449228, -449230? -449232 What is next in -1139, -2452, -3765, -5078, -6391? -7704 What comes next: -81, -357, -813, -1449, -2265, -3261, -4437? -5793 What is next in -1906, -3927, -5948, -7969, -9990, -12011? -14032 What comes next: -537, -538, -535, -528, -517? -502 What is next in -605, -1224, -1843, -2462? -3081 What is the next term in 8897, 17790, 26679, 35564, 44445, 53322? 62195 What is next in 258507, 517011, 775515, 1034019, 1292523? 1551027 What is the next term in 54424, 108843, 163262, 217681, 272100, 326519? 380938 What is the next term in -369, -63, 467, 1239, 2271, 3581, 5187, 7107? 9359 What comes next: 108571, 108561, 108539, 108499, 108435, 108341, 108211? 108039 What is next in -2303, -9070, -20335, -36092, -56335, -81058? -110255 What is next in 365480, 365477, 365474, 365471? 365468 What is the next term in -63, -72, -103, -168, -279, -448, -687, -1008? -1423 What is the next term in -2569, -5122, -7667, -10210, -12757, -15314, -17887? -20482 What comes next: -2151, -3856, -5121, -5952, -6355? -6336 What comes next: 615, 1225, 1843, 2469, 3103, 3745, 4395? 5053 What is next in -116672, -116665, -116654, -116639, -116620, -116597? -116570 What is the next term in -170, -763, -1742, -3113, -4882, -7055? -9638 What comes next: 29857, 29873, 29899, 29929, 29957, 29977, 29983, 29969? 29929 What is next in 173, 134, 81, 8, -91, -222? -391 What is the next term in -1207, -2286, -4091, -6628, -9903, -13922? -18691 What is next in 75470, 75466, 75462, 75458? 75454 What is the next term in -453, -886, -1299, -1704, -2113, -2538? -2991 What comes next: 6180, 6103, 5976, 5799, 5572? 5295 What is next in 1715, 3593, 5629, 7823, 10175, 12685? 15353 What is the next term in 8, 73, 156, 251, 352, 453? 548 What is next in 35, 43, 27, -13, -77? -165 What comes next: -14816, -14821, -14814, -14789, -14740, -14661, -14546? -14389 What is next in -6315, -6592, -6869, -7146, -7423? -7700 What is next in -86, -309, -676, -1187, -1842, -2641? -3584 What is the next term in -1019, -1002, -985, -968? -951 What is next in 184, 369, 558, 751, 948, 1149? 1354 What is the next term in -289, -362, -435, -508, -581, -654? -727 What is the next term in -6691, -13352, -20013? -26674 What comes next: -394, -1895, -4998, -10195, -17978? -28839 What is next
{ "pile_set_name": "DM Mathematics" }
of a centimeter? 2000 How many micrometers are there in one twentieth of a centimeter? 500 How many millilitres are there in 61.20407l? 61204.07 What is 32/5 of a millennium in centuries? 64 How many months are there in one twentieth of a decade? 6 How many weeks are there in 166078174.5ms? 0.27460015625 How many tonnes are there in 613.7707mg? 0.0000006137707 What is 10861179.3us in days? 0.00012570809375 How many years are there in 3/5 of a millennium? 600 What is thirty-three fifths of a century in years? 660 How many nanoseconds are there in 90.89525 weeks? 54973447200000000 What is 8.365368 litres in millilitres? 8365.368 How many weeks are there in 178453.4787 milliseconds? 0.00029506196875 Convert 2.277458kg to milligrams. 2277458 Convert 79305.7l to millilitres. 79305700 What is 10311.33 kilograms in tonnes? 10.31133 What is 786.347163 microseconds in weeks? 0.0000000013001771875 What is three fifths of a century in months? 720 How many nanometers are there in 528.4948mm? 528494800 How many micrometers are there in 19386.41km? 19386410000000 How many millimeters are there in 17/4 of a meter? 4250 How many millilitres are there in 21/5 of a litre? 4200 How many seconds are there in one eighteenth of a hour? 200 What is 0.6962846nm in kilometers? 0.0000000000006962846 How many micrometers are there in twenty-one eighths of a centimeter? 26250 How many millilitres are there in fifteen quarters of a litre? 3750 How many weeks are there in 165619.3392ns? 0.0000000002738415 What is 7.948823 meters in kilometers? 0.007948823 Convert 3439.108l to millilitres. 3439108 What is fifty-seven fifths of a kilometer in meters? 11400 How many millennia are there in 9.137032 years? 0.009137032 How many milliseconds are there in 2/15 of a minute? 8000 Convert 799.7882 grams to kilograms. 0.7997882 What is three fifths of a litre in millilitres? 600 What is 3/8 of a day in minutes? 540 How many grams are there in 8.645432ng? 0.000000008645432 What is 17/2 of a meter in centimeters? 850 What is 482.32 micrometers in kilometers? 0.00000048232 Convert 0.7836293 millilitres to litres. 0.0007836293 What is 1/4 of a meter in centimeters? 25 How many micrograms are there in 1/5 of a milligram? 200 How many millilitres are there in 259.3245 litres? 259324.5 What is twenty-nine fifths of a millennium in decades? 580 Convert 250267.6l to millilitres. 250267600 What is 2257582.5 months in years? 188131.875 Convert 776.5298 nanograms to milligrams. 0.0007765298 How many centuries are there in twenty-six fifths of a millennium? 52 How many micrometers are there in 21/2 of a millimeter? 10500 How many months are there in twenty-five quarters of a century? 7500 How many micrograms are there in one tenth of a milligram? 100 How many grams are there in 414030.6 micrograms? 0.4140306 How many months are there in 383.7894 decades? 46054.728 How many hours are there in eleven quarters of a day? 66 How many months are there in 11/10 of a millennium? 13200 How many meters are there in three fifths of a kilometer? 600 How many seconds are there in 2/45 of a day? 3840 How many nanometers are there in eighty-one halves of a micrometer? 40500 Convert 16451.79km to centimeters. 1645179000 What is 923.4725 millilitres in litres? 0.9234725 How many nanometers are there in thirty-four fifths of a micrometer? 6800 What is 21/5 of a litre in millilitres? 4200 How many years are there in twenty-one fifths of a millennium? 4200 How many kilometers are there in 85191.03cm? 0.8519103 How many hours are there in four sevenths of a week? 96 How many milligrams are there in 6212.066ng? 0.006212066 What is 0.6214329 micrometers in nanometers? 621.4329 What is 7/4 of a millimeter in micrometers? 1750 What is four thirds of a hour in minutes? 80 How many nanoseconds are there in twenty-five quarters of a microsecond? 6250 How many millimeters are there in three tenths of a meter? 300 What is 82.60416 months in millennia? 0.00688368 What is 1/10 of a century in decades? 1 What is 21/5 of a microgram in nanograms? 4200 What is seven quarters of a litre in millilitres? 1750 How many months are there in 7/4 of a century? 2100 How many litres are there in 4195.704 millilitres? 4.195704 Convert 2.816394 months to decades. 0.02346995 How many nanoseconds are there in 9981.326 microseconds? 9981326 How many decades are there in 59/4 of a millennium? 1475 What is 67.85325 months in decades? 0.56544375 What is 853.4115 decades in millennia? 8.534115 What is six fifths of a litre in millilitres? 1200 What is seventy-nine halves of a millennium in years? 39500 How many years are there in 3/5 of a millennium? 600 Convert 17.59328 hours to milliseconds. 63335808 What is 7/2 of a millennium in months? 42000 Convert 995792.8 centuries to millennia. 99579.28 What is 6/5 of a micrometer in nanometers? 1200 How many milliseconds are there in nine tenths of a minute? 54000 How many centimeters are there in one twentieth of a kilometer? 5000 What is 858456.1 centuries in decades? 8584561 How many microseconds are there in 12.45546 seconds? 12455460 How many kilograms are there in 17202.29 micrograms? 0.00001720229 How many years are there in 146.9451 decades? 1469.451 What is 1/45 of a hour in seconds? 80 What is twenty-nine halves of a second in milliseconds? 14500 How many centimeters are there in 29/5 of a meter? 580 What is 308080.9 millilitres in litres? 308.0809 What is 888840.3 nanograms in kilograms? 0.0000008888403 What is 3/25 of a gram in milligrams? 120 Convert 632.3609m to kilometers. 0.6323609 Convert 2.079473ng to micrograms. 0.002079473 Convert 187.302 micrometers to kilometers. 0.000000187302 Convert 664.9459ug to grams. 0.0006649459 How many seconds are there in 0.8217669 days? 71000.66016 Convert 50242.36 centuries to months. 60290832 How many minutes are there in twenty-three sixths of a hour? 230 How many years are there in twenty-seven halves of a decade? 135 What is thirty-three tenths of a microsecond in nanoseconds? 3300 What is 1/10 of a millimeter in micrometers? 100 Convert 0.9540859mm to centimeters. 0.09540859 How many micrograms are there in 21/5 of a milligram? 4200 What is 46045.449s in days? 0.5329334375 Convert 89.36718 millennia to centuries. 893.6718 How many years are there in 1/20 of a century? 5 What is 5095.214 millilitres in litres? 5.095214 How many nanometers are there in 51/4 of a micrometer? 12750 How many milligrams are there in 1.12443kg? 1124430 How many meters are there in 24399.8 centimeters? 243.998 What is 7/8 of a litre in millilitres? 875 How many nanoseconds are there in 21/8 of a microsecond? 2625 How many kilograms are there in 11/10 of a tonne? 1100 How many nanometers are there in three fifths of a micrometer? 600 What is sixty-seven fifths of a litre in millilitres? 13400 How many months are there in 11/2 of a decade? 660 How many nanograms are there in 344804.9 tonnes? 344804900000000000000 Convert 72345.14l to millilitres. 72345140 Convert 11052.97nm to meters. 0.00001105297 What is fifty-nine fifths of a litre in millilitres? 11800 Convert 8.401841 nanometers to micrometers. 0.008401841 What is 9/10 of a millennium in months? 10800 What is 29/5 of a litre in millilitres? 5800 How many centimeters are there in 3/8 of a kilometer? 37500 How many millilitres are there in 92741.5l? 92741500 What is 36.4948ml in litres? 0.0364948 What is 17/2 of a year in months? 102 Convert 190.18017 milliseconds to hours. 0.000052827825 How many minutes are there in eleven quarters of a hour? 165 How many meters are there in fifty-three fifths of a kilometer? 10600 How many micrograms are there in 51102.52kg? 51102520000000 How many millilitres are there in 336.21 litres? 336210 How many millennia are there in 9.043636 centuries? 0.9043636 How many milligrams are there in 9.831919kg? 9831919 Convert 958081.8kg to tonnes. 958.0818 Convert 0.3201778ug to tonnes. 0.0000000000003201778 How many kilograms are there in 8915.678 milligrams? 0.008915678 Convert 133.4065nm to millimeters. 0.0001334065 How many hours are there in 569.26764 nanoseconds? 0.0000000001581299 How many seconds are there in 1/36 of a week? 16800 What is 3/28 of a week in seconds? 64800 Convert 0.39128
{ "pile_set_name": "DM Mathematics" }
-5 Suppose 0 = 18*x + 20 + 52. Let w(k) = -2*k - 3. Let n be w(x). Solve 9 = -n*z - 6 for z. -3 Let n(v) = -v + 11 - v**2 - 12 - 13*v + 13. Let o be n(-13). Let i = -2 - -2. Solve i = h + 4*h - o for h. 5 Let k(l) = -l**2 + 4*l + 21. Let d be k(-3). Solve 154*h - 160*h - 12 = d for h. -2 Let r be (-6)/(-9)*-1 + (-15400)/(-132) + 1. Solve 22*b - 7 = -r for b. -5 Let t = 1049 - 842. Suppose -15*w + t = 8*w. Solve -w = 2*o - 5*o for o. 3 Let f(j) = j**2 + 97*j - 710. Let g be f(-104). Solve -9*p = -18*p + g for p. 2 Let l be (12/(-2))/((-18)/1920*5). Solve -l = 53*t - 21*t for t. -4 Suppose -10*f = -13*f - 5*q - 49, 3*f + 19 = q. Let d(t) = 3*t + 26. Let x be d(f). Solve 3*o = x*o - 4 for o. -4 Suppose 4*h - 5*v - 389 = 6*h, 5*h + 3*v = -1020. Let d = h - -214. Solve 0 = c - 11 + d for c. 4 Let t = 41 - -56. Let v = -90 + -4. Let m = v + t. Solve -2*x = -1 + m for x. -1 Let m = 38687 + -38677. Solve -m*b = 408 - 428 for b. 2 Let t be (-296)/(-518) - 34/(-14). Let a(n) = 6*n**3 - 1. Let z be a(1). Suppose -t*v - 15 = -z*j, 5 = -3*j + j - v. Solve -7*i + 3*i = j for i. 0 Let n(a) = -7*a + 1. Let s be n(-1). Suppose s*u + 0*u = 24. Suppose 0 = 5*j - 0*j - 4*d - 33, -u*d - 11 = -j. Solve -j*o = -4*o - 1 for o. 1 Let d be (531/(-45) - -4 - -8) + (-69)/(-5). Solve d - 18 = 4*v for v. -1 Suppose 0 = 52248*u - 52259*u + 5071. Solve -u*p + 468*p = -42 for p. -6 Let i(l) = -107*l - 505. Let p be i(-5). Solve 4*u = 19*u + p for u. -2 Suppose -13*g + 38*g = -2*g + 216. Solve -v + g - 15 = 0 for v. -7 Suppose 0 = -2*v - 5*t + 35, 3*t - 25 + 128 = 5*v. Suppose 2*g - 11 = -3. Suppose -4 = 5*y - 2*p - 52, g*y = -3*p + v. Solve y = 5*m - 7 for m. 3 Suppose 0 = -3*d + 2*a + a + 21, 4*d = 3*a + 31. Let k(l) = 2*l**2 - l**3 + 33*l - d*l**2 + 16 - 35*l + 2*l**3. Let i be k(8). Solve i = 6*v - 3*v for v. 0 Suppose 344*f - 8 = 342*f. Suppose -l = -4*q - 10, -2*l - 7 + 3 = f*q. Solve 19 = -7*v - l for v. -3 Let h = 315 + -243. Solve h = -12*k + 30*k for k. 4 Let m be (-1)/(892/(-148) - -6). Suppose 0 = 5*j - 222 + 197. Solve -j*z + m - 17 = 0 for z. 4 Suppose 23 + 341 = 14*i. Suppose -8*o + 122 = i. Solve -o*v - 15 = -15*v for v. 5 Let i be (-1795)/(-15)*6/4*2. Let h = i - 357. Solve 2*k + h = 4 for k. 1 Suppose 100 = -6*b + b. Let q(p) be the first derivative of p**4/4 + 20*p**3/3 + p**2/2 + 27*p + 37. Let t be q(b). Solve -t = -4*y - 3 for y. 1 Suppose i = 3*n + 22, n + 8 = 3*i - 42. Suppose 4*d - 2*j = 12, -4*j + 8 = i. Solve d = 5*q - 13 for q. 3 Let c be (-178)/1068*(-1)/((-2)/(-312)). Solve 0 = 14*q - c*q - 12 for q. -1 Let o = 5 - 18. Let h(a) = -a - 13. Let p be h(o). Suppose 3*g + 3*c = 3, p = -c - 1. Solve 4*f = 5*f - g for f. 2 Let p(h) = -h**3 - 16*h**2 + 33*h - 41. Let q be p(-18). Solve -q*w + 31 = 109 for w. -6 Let x be 3/4 + (-548)/(-16) - -1. Suppose -47 = 2*o - 6*o + 5*c, 3*o - x = 4*c. Let i = 75 + -72. Solve -i*q + o = q for q. 2 Suppose 268*c = -3*d + 273*c + 84, 5*d = -2*c + 140. Solve 0 = d*w + 142 - 338 for w. 7 Let c be (-8 + 15 - -22) + 1. Solve 31 = c*y - 29 for y. 2 Suppose -18*c = -26*c + 448. Let d be c/10 - (-16)/40. Solve d*g - 2 = 5*g for g. 2 Let r = 14 - 3. Solve -44 = -r*j + 22*j for j. -4 Let v(g) be the third derivative of -g**5/60 - g**4/2 + g**3/2 + 5*g**2 - 3. Let p be v(-12). Solve 2*l + 15 = -p*l for l. -3 Suppose -15 = 3*m - 42. Suppose -m = 14*h - 17*h. Solve -3 + 6 = -h*g for g. -1 Let f(h) = -h**3 + 24*h**2 - 82*h + 74. Let n be f(20). Solve -n = 6*x - 46 for x. 2 Let j = -24094 - -24407. Solve 15*z + j - 358 = 0 for z. 3 Suppose 3*v = -0*v. Let b(m) = -3*m**2 - 1572*m - 7774. Let u be b(-5). Solve v = u*r + 4 + 51 for r. -5 Suppose -2*c - 938 = -1010. Solve -c*g = -6*g + 90 for g. -3 Let d(m) = 217*m - 6827. Let u be d(33). Solve 110 = -32*h + u for h. 7 Let o(k) = -252*k - 7442. Let x be o(-30). Solve x*w - 360 = 78*w for w. 9 Let v be (0*4/24)/((-11)/(-2 - 9)). Solve -1093*f + 1086*f + 42 = v for f. 6 Let u = -33081 - -33964. Solve -107 = 110*c + u for c. -9 Let i(b) = 6*b + 54. Let l be i(-12). Let x be 5/((-20)/l)*(-2)/(-3). Solve -17 + 8 = -x*g for g. 3 Let v = -7 - -8. Suppose 3*c + 7*c = 2370. Suppose c*p - 4 = 235*p. Solve v = p*l - l for l. 1 Let w(c) = c**2 + 17*c + 87. Let s(z) = -2*z**2 - 34*z - 175. Let p(t) = 6*s(t) + 13*w(t). Let q be p(-13). Solve -7*k + q = 8 for k. 3 Suppose q - 3*q - 4 = 0. Let t(o) be the third derivative of o**6/60 + o**5/10 + o**4/12 - o**3/6 - 292*o**2 + 2. Let p be t(q). Solve p*d - 6 = 6 for d. 4 Let n = -35 - -55. Let t = -47 + 51. Suppose 2*p + q - 8 = 0, 2 = -3*p - 4*q + t. Solve s - p*s + n = 0 for s. 4 Let s be 82/(-533) + (-1204)/(-52). Let u = -36 + 48. Solve -u*j - s = 1 for j. -2 Let c(j) = 2*j**2 - 711*j + 4257. Let p be c(6). Solve -280 = p*k - 7*k for k. -5 Suppose -4*z + 10 = 2. Suppose -2*f - 2 - 9 = 5*y, 2 = 4*f + z*y. Let s = 12973 - 12966. Solve -f*b + s = 5 for b. 1 Let y(w) = -3405*w + 3565. Let i be y(1). Solve i*g - 24 = 148*g for g. 2 Let s(g) = g - 28. Let w be s(30). Suppose -w*x = 220 - 288. Solve 29*h = x*h - 10 for h. 2 Suppose 0 = -19*i - 8*i - 405. Let b be ((-485)/(-25) - 3) + (-9)/i. Solve -b*v + 3 = -18*v for v. -3 Let n = -180 - -188. Suppose -3*g - n*g = -44. Solve 3*o - g*o - 2 = 0 for o. -2 Let c(r) = -24*r**3 + r**2 + 3*r + 2. Let x be c(-1). Suppose -5*j + x = -j. Let h be 6/5*20/j. Solve -5 + h = m for m. -1 Suppose -1274 = -22*k + 380 + 2328. Solve k*h - 120 = 161*h for h. 6 Let w be (-2)/(-29) - 6479/6061 - -109. Solve -w = 74*b - 20*b for b. -2 Let b be (14/8 + -2)/((-4316)/(-432) - 10). Solve -155 - b = -26*k for k. 7 Suppose 436*v - 418*v = 144. Solve v*m - 30 = 23*m for m. -2 Let h(k) = -k - 14. Let y be h(-17). Suppose -5*u + 51 = 4*z, z + 9 = u + y*z. Solve -u = -11*c - 0 for c. 1 Let w(y) = y + 7. Let n be w(-7). Suppose -5*z + 5*g = 45, n = -5*z + 3*g - 1 - 54. Let q = z + 19. Solve -1 + 21 = -q*u for u. -4 Let h = -790 - -795. Suppose -6*j + h = -19. Solve j*y - 5*y = -2 for y. 2 Let l = 309 + -301. Suppose -2*y = 2*r - l, 2*r = 2 - 4. Solve 6 = -2*f + y*f for f. 2 Suppose 8*f - 9 = 5*f. Let y = -15 + 16. Let b be (0/((-2)/2) - y)*0. Solve b = 4*q - f*q + 3 for q. -3 Let m(n) = -n**3 - 2*n**2 - 2*n - 1. Let z be m(-1). Let j(q) = q**2 + 8*q. Let c be j(-8). Suppose -4*t - 7 + 27 = c. Solve z = -5*d + t for d. 1 Let t = -1333 + 1393. Solve -p = -13*p - t for p. -5 Suppose l - 20*l = -152. Suppose l*w - 15 = 129. Solve 5*r + w = 3 for r. -3 Let g(m) = 2*m**2 + 45*m - 34. Let v = -358 + 334. Let b be g(v). Solve b*x - 35*x = 0 for x. 0 Suppose 159*n - 60 = 139*n. Suppose 2*h - 6 = -h. Solve -h*p = n*p for p. 0 Let m be -7*14/(-245) + 456/10. Suppose 4 = -6*t + m. Suppose -9*c = -t - 2. Solve -17 = 4*o - c for o. -4 Let x be (-104*(-42)/280)/(3/(-150)*-6). Solve 11*u + 163 - x = 0 for u. -3 Let k be (-576)/(-126) + (-8)/2 + 628/28. Solve -5*s + 33 = k for s. 2 Let l(m) = 733*m + 2213. Let b be l(-3). Let w = 25 + -9. Solve w*o = b*o for o. 0 Suppose v + 4 - 16 = 0. Let z be ((-64)/v)/8 - 100/3. Let k = z - -38. Solve k + 12 = 4*b for b. 4 Let j be (-4)/12 + 7/3. Let w be ((-15)/9 + 2)*6. Suppose j + w = b. Solve b*i = 1 - 17 for i. -4 Let x = -6739 + 6784. Solve -729*i + x = -738*i for i. -5 Let w = 374 + -371. Suppose 5*s - w*s - 42 = 0. Solve -s = 10*a - 3*a for a. -3 Suppose 4*r - 158 = -3*l + 92, l = -4*r + 70. Let w be (-4)/(-6)*405/l. Solve -w*h + 0 - 6 = 0 for h. -2 Let f be (1 - (-3)/4)/(1*3/12). Solve 25 = f*i + 67 for i. -6 Suppose 4393 = 204*l - 1585 - 5242. Solve -52*p + l*p - 3 = 0 for p. 1 Suppose -63 = -2*b + 39*o - 34*o, 2*b + 2*o - 112 = 0. Solve -39*s + 46*s + b = 0 for s. -7 Let k(s) = s - 2. Let v be k(3). Let x = 187 + -172. Let u(y) = -y**2 + 15*y + 3. Let m be u(x). Solve -v + m = -2*f for f. -1 Suppose 4*p - 2*r = 16, -15*r + 20*r = p + 5. Let d be 2/4 + 2/(-4). Solve 3*s - p + 17 = d for s. -4 Suppose 835*m = 827*m + 3600. Suppose -16*o = -25*o + m. Solve -2*j + o = 46 for j. 2 Suppose -1312 = 41*p - 1845. Solve -p*x - 17 = 22 for x. -3 Let b be 28140/21*(-4)/(-20). Solve 21*l - b = 88*l for l. -4 Let a be (24/7)/((-868)/(-1519)). Solve 636 - 612 = -a*j for j. -4 Suppose -14*w + 90 = -8*w. Suppose -5*f - 22*k - 1 = -23*k, 5*k = 4*f + 5. Solve f*b - w = 5*b for b. -3 Let b(l) = -l**2 + 111*l - 2086. Let k be
{ "pile_set_name": "DM Mathematics" }
9. 41 What is 13422 (base 6) in base 15? 952 Convert 11031203 (base 4) to base 15. 64d2 Convert 26623 (base 7) to base 2. 1110000000011 2aa3 (base 15) to base 11 6971 What is -8014 (base 9) in base 15? -1aea Convert 1726 (base 13) to base 3. 11200101 What is 17c5 (base 16) in base 4? 1133011 Convert 418 (base 16) to base 6. 4504 What is 331b (base 12) in base 4? 1120013 bad3 (base 14) to base 13 1193b Convert -a648 (base 11) to base 12. -81a0 Convert -18 (base 14) to base 10. -22 Convert 122122 (base 3) to base 9. 578 120043 (base 6) to base 11 78a0 Convert -223 (base 5) to base 2. -111111 767 (base 14) to base 7 4160 What is -1467 (base 10) in base 2? -10110111011 Convert -200022 (base 4) to base 9. -2736 Convert 3033 (base 5) to base 9. 476 What is 2220 (base 3) in base 9? 86 What is 11012121 (base 3) in base 9? 4177 Convert 5103 (base 8) to base 14. d59 What is 452343 (base 7) in base 2? 10011100011100001 Convert 21c9 (base 14) to base 9. 8032 -1133331 (base 4) to base 10 -6141 Convert -c91 (base 16) to base 8. -6221 1422 (base 7) to base 16 22b What is 3500 (base 15) in base 6? 124030 Convert -14533 (base 6) to base 11. -1857 132 (base 12) to base 5 1212 2013221 (base 5) to base 13 11926 714 (base 10) to base 6 3150 Convert -104717 (base 8) to base 10. -35279 Convert 30142 (base 7) to base 10. 7282 Convert -200b (base 15) to base 7. -25466 Convert -330244 (base 6) to base 4. -12222310 Convert 22210 (base 5) to base 10. 1555 Convert 10102302 (base 4) to base 3. 220010100 Convert 1780 (base 10) to base 8. 3364 Convert 14d (base 14) to base 2. 100001001 What is 35024 (base 6) in base 3? 20211121 -4443 (base 5) to base 11 -517 2402024 (base 5) to base 16 abee -2102010 (base 5) to base 12 -1805a Convert -11001011110000 (base 2) to base 16. -32f0 Convert 2230100 (base 5) to base 3. 2000001021 What is -26a (base 12) in base 8? -562 -10b (base 12) to base 6 -415 -bee4 (base 15) to base 11 -28469 What is 4500 (base 7) in base 12? b29 Convert 96c9 (base 15) to base 13. 116ac Convert -202220210 (base 3) to base 5. -441444 -2362 (base 9) to base 12 -1025 What is -11102202 (base 3) in base 11? -247a What is -32 (base 12) in base 6? -102 What is 93 (base 13) in base 3? 11110 What is -2147 (base 8) in base 3? -1112202 1468 (base 16) to base 7 21142 Convert -16930 (base 10) to base 16. -4222 Convert 51672 (base 8) to base 13. 99aa What is 10102201 (base 3) in base 11? 1976 What is 2101241 (base 5) in base 2? 1000011100001011 What is -16a0 (base 16) in base 8? -13240 What is 2232022 (base 4) in base 15? 3481 Convert 34222 (base 8) to base 11. a976 -241 (base 16) to base 8 -1101 What is -d6d (base 15) in base 2? -101111010100 44507 (base 10) to base 7 243521 5b72 (base 15) to base 9 28618 444 (base 11) to base 5 4112 Convert -325 (base 15) to base 8. -1306 What is 21021101 (base 3) in base 14? 1d0a Convert 43160 (base 7) to base 3. 112201012 203230 (base 4) to base 10 2284 Convert -1744 (base 14) to base 3. -12201200 Convert -22000002 (base 3) to base 11. -4424 25b (base 13) to base 6 1530 -343 (base 5) to base 11 -8a Convert 1055 (base 9) to base 16. 30b -23242 (base 5) to base 4 -122201 What is -a7a (base 12) in base 6? -11034 337 (base 16) to base 2 1100110111 Convert -1251 (base 12) to base 14. -a85 Convert 354 (base 12) to base 14. 276 What is 98b (base 14) in base 16? 75f What is 405 (base 10) in base 9? 500 Convert 203521 (base 6) to base 4. 10000021 Convert -575 (base 9) to base 15. -218 What is -2a1 (base 12) in base 10? -409 -35 (base 12) to base 9 -45 Convert -11001100012 (base 3) to base 5. -10022314 -23a (base 15) to base 8 -771 2b6 (base 13) to base 6 2131 What is -56326 (base 9) in base 5? -2144241 -7435 (base 11) to base 2 -10011001101111 Convert 1b0a (base 15) to base 3. 22001001 What is -6c (base 13) in base 8? -132 Convert 2414 (base 6) to base 16. 24a Convert d4d (base 16) to base 15. 1020 -2517 (base 9) to base 7 -5323 What is -787 (base 12) in base 6? -5051 -c497 (base 13) to base 5 -1332124 -30211 (base 4) to base 16 -325 What is -1b9 (base 13) in base 5? -2241 What is 2022221201 (base 3) in base 6? 552244 Convert -1910 (base 10) to base 12. -1132 What is -41033 (base 5) in base 14? -d6b What is -7772 (base 8) in base 11? -3089 What is -2305 (base 6) in base 2? -1000100001 What is 1d0 (base 14) in base 15? 1a3 Convert -20100021 (base 3) to base 10. -4624 Convert 320103 (base 6) to base 9. 38543 -c241 (base 16) to base 3 -2112012211 Convert 2228 (base 14) to base 11. 4499 What is -371 (base 11) in base 9? -540 What is -222201 (base 3) in base 9? -881 113302 (base 6) to base 13 4622 What is 522 (base 13) in base 3? 1012100 What is 20212 (base 3) in base 11? 159 12344 (base 7) to base 13 1643 -110010111 (base 2) to base 10 -407 What is a08 (base 11) in base 6? 5350 Convert -100110101001000 (base 2) to base 10. -19784 Convert 11002 (base 3) to base 14. 7c Convert -1337 (base 12) to base 7. -6265 454c (base 13) to base 9 14264 What is 17613 (base 8) in base 10? 8075 What is 2044 (base 5) in base 11? 22a Convert 114157 (base 9) to base 6. 1245511 Convert 1551 (base 14) to base 10. 3795 What is 93 (base 12) in base 2? 1101111 Convert 4033 (base 6) to base 11. 735 Convert -c687 (base 13) to base 8. -65541 Convert ac1 (base 14) to base 16. 851 Convert 310 (base 6) to base 15. 79 What is 10001100021 (base 3) in base 15? 12bbd Convert 32d (base 16) to base 9. 1103 5452 (base 6) to base 9 1645 289 (base 14) to base 3 201000 Convert -86c7 (base 13) to base 5. -1100003 27b1 (base 14) to base 2 1101101100111 -1131222 (base 5) to base 13 -961c Convert -138 (base 10) to base 6. -350 Convert -2112120001 (base 3) to base 2. -1100001100111010 What is 1163 (base 9) in base 11? 719 -26451 (base 7) to base 6 -52500 What is -280 (base 11) in base 4? -11022 -1189 (base 14) to base 13 -1516 What is -1005 (base 7) in base 14? -1ac What is -1200101 (base 3) in base 6? -5401 What is -191 (base 11) in base 5? -1341 Convert -236 (base 10) to base 6. -1032 -9a6 (base 15) to base 3 -2222210 What is 13215 (base 6) in base 10? 2027 What is -2348 (base 9) in base 7? -5042 What is -6755 (base 15) in base 8? -52621 What is 3123 (base 4) in base 3? 22010 What is 605 (base 16) in base 14? 7c1 Convert 1175 (base 9) to base 3. 1012112 642 (base 7) to base 12 230 Convert 17a (base 16) to base 14. 1d0 Convert -d148 (base 14) to base 13. -13480 What is -bc1 (base 13) in base 8? -3740 Convert 3ac (base 13) to base 6. 3001 68607 (base 10) to base 11 47600 What is -3240 (base 5) in base 16? -1bd What is -20200 (base 4) in base 2? -1000100000 -100000100111 (base 2) to base 14 -a91 -5da (base 16) to base 7 -4240 What is -21001 (base 3) in base 16? -be 1b8b5 (base 13) to base 16 d3d4 What is 2180 (base 11) in base 16? b37 143121 (base 5) to base 12 35b0 1100010001001 (base 2) to base 15 1cdb Convert -770 (base 12) to base 13. -660 f044 (base 16) to base 9 103332 Convert 4 (base 12) to base 9. 4 Convert 845 (base 13) to base 9. 1835 1011121110 (base 3) to base 7 124116 -1043235 (base 6) to base 11 -36563 What is 335 (base 7) in base 9? 212 520 (base 6) to base 12 140 Convert 2312 (base 5) to base 7. 653 -1111001100011 (base 2) to base 13 -3705 What is 120020021 (base 3) in base 15? 3454 2782 (base 10) to base 16 ade What is -400 (base 13) in base 6? -3044 717 (base 16) to base 2 11100010111 -3353 (base 6) to base 13 -489 Convert -23cc (base 16) to base 12. -5378 Convert 5154 (base 6) to base 5. 14100 -22458 (base 13) to base 10 -62265 What is -2209 (base 14) in base 7? -23112 -5c05 (base 16) to base 3 -1012022111 What is -16668 (base 9) in base 14? -4283 What is -4b0 (base 14) in base 8? -1652 Convert -11012012 (base 3) to base 7. -11624 What is -1032222 (base 5) in base 10? -17812 Convert -105 (base 11) to base 12. -a6 -112021 (base 5) to base 2 -111110101011 Convert -2a4 (base 14) to base 3. -201212 What is 1010 (base 2) in base 8? 12 What is 379 (base 12) in base 8? 1015 -20332 (base 4) to base 8 -1076 What is 544 (base 11) in base 13? 3b3 What is -1012303 (base 5) in base 14? -6082 Convert -444411 (base 6) to base 15. -b0bd What is 15312 (base 6) in base 3? 10102022 Convert 9cd (base 16) to base 15. b24 41704 (base 11) to base 4 32311022 -1013010 (base 4) to base 15 -1533 Wha
{ "pile_set_name": "DM Mathematics" }
120 a factor of 238080? True Is 2 a factor of 1300085? False Is 167943 a multiple of 68? False Does 815 divide 17166345? True Is 4 a factor of 956? True Is 277056 a multiple of 39? True Is 68 a factor of 20821260? True Is 17 a factor of 14821254? False Is 857795 a multiple of 113? False Is 538 a factor of 3609442? True Is 11 a factor of 61215? True Is 391283 a multiple of 489? False Is 166484 a multiple of 833? False Is 40 a factor of 168117? False Is 268 a factor of 892250? False Is 89394 a multiple of 13? False Is 575 a factor of 785649? False Does 35 divide 362600? True Is 273 a factor of 2938572? True Is 148 a factor of 780913? False Does 10 divide 1872813? False Is 279290 a multiple of 4? False Is 211 a factor of 142249? False Is 2570436 a multiple of 46? False Does 31 divide 942772? True Is 54 a factor of 2737692? True Is 3 a factor of 3246954? True Is 10883891 a multiple of 167? True Does 910 divide 10514140? True Is 126 a factor of 11166246? True Does 98 divide 384160? True Does 3 divide 123750? True Does 282 divide 7023621? False Does 39 divide 19013396? False Does 17 divide 1177318? True Is 37 a factor of 2730637? True Is 180 a factor of 11389? False Does 1469 divide 399802? False Is 52140 a multiple of 102? False Is 447 a factor of 7838882? False Is 68 a factor of 22440? True Does 56 divide 12717936? True Is 14 a factor of 1614749? False Is 12 a factor of 24965? False Is 44820 a multiple of 36? True Does 16 divide 10218457? False Does 27 divide 66231? True Does 16 divide 315713? False Is 5 a factor of 6607125? True Is 6282 a multiple of 9? True Does 141 divide 6215823? False Does 73 divide 8973623? False Is 105859 a multiple of 221? True Does 4 divide 171480? True Is 11 a factor of 62589? False Is 202517 a multiple of 60? False Is 116 a factor of 48140? True Is 8849645 a multiple of 49? True Does 11 divide 2208888? True Does 11 divide 104424? False Does 82 divide 145316? False Does 8 divide 649188? False Is 1863940 a multiple of 65? True Is 104016 a multiple of 62? False Does 256 divide 107008? True Is 53 a factor of 2536314? False Does 4 divide 2263404? True Does 210 divide 201160? False Does 148 divide 5646219? False Is 7 a factor of 4476743? False Does 34 divide 13610472? True Is 256970 even? True Is 25 a factor of 42425? True Does 166 divide 2058400? True Does 14 divide 33908? True Does 19 divide 141242? False Is 5111435 a multiple of 472? False Is 13 a factor of 266653? False Is 355911 a multiple of 33? False Does 11 divide 53134? False Is 448 a factor of 7410816? True Is 88440 a multiple of 13? False Does 43 divide 1155503? False Is 8332210 a multiple of 170? True Does 19 divide 64335? False Does 10 divide 6795? False Is 27 a factor of 2482056? True Is 59675 a multiple of 5? True Is 10572 a multiple of 12? True Is 29608 even? True Does 93 divide 1659234? False Is 4 a factor of 192592? True Does 228 divide 193543? False Is 42 a multiple of 7? True Is 40 a factor of 19226520? True Is 508 a factor of 326644? True Is 118 a factor of 491942? True Is 274 a factor of 288442? False Is 37 a factor of 707218? True Is 758657 a multiple of 109? False Does 216 divide 1709424? True Is 335610 a multiple of 15? True Is 1683512 a multiple of 8? True Does 156 divide 2853766? False Does 49 divide 228830? True Is 98 a factor of 277678? False Is 840 a factor of 672727? False Is 17 a factor of 1773346? False Is 22 a factor of 158138? False Is 834680 a multiple of 220? True Does 85 divide 6173323? False Is 6 a factor of 187968? True Does 5 divide 6883675? True Does 62 divide 432884? True Is 227 a factor of 165710? True Does 14 divide 53816? True Does 157 divide 83681? True Is 2787929 a multiple of 27? False Does 6 divide 12520560? True Does 80 divide 157706? False Does 207 divide 4325849? False Is 5748238 a multiple of 99? False Is 177 a factor of 117705? True Is 11 a factor of 856834? True Does 34 divide 16388? True Is 73528 a multiple of 200? False Is 395500 a multiple of 350? True Does 16 divide 831648? True Is 1551593 a multiple of 17? False Does 30 divide 234712? False Is 9 a factor of 131625? True Is 188 a factor of 15479425? False Is 149127 a multiple of 11? True Is 81 a factor of 917082? True Does 101 divide 3022264? False Is 14 a factor of 814392? False Does 4 divide 135970? False Is 15 a factor of 998485? False Is 43449 a multiple of 7? True Does 209 divide 585079? False Is 67 a factor of 377523? False Is 340 a factor of 3606040? True Is 1106490 a multiple of 55? True Does 81 divide 287733? False Does 108 divide 19146888? True Does 34 divide 245154? False Does 46 divide 258298? False Is 423791 a multiple of 5? False Is 10 a factor of 799151? False Is 1061706 a multiple of 369? False Does 11 divide 122175? False Is 637 a factor of 116441? False Does 17 divide 1670199? True Is 13 a factor of 139919? True Does 60 divide 204909? False Does 22 divide 1832666? True Is 582930 a multiple of 15? True Is 193580 a multiple of 41? False Is 1082328 a multiple of 8? True Is 15240353 a multiple of 62? False Is 464 a factor of 7494880? False Does 370 divide 215324? False Does 20 divide 269571? False Is 18 a factor of 168876? True Does 53 divide 768500? True Does 39 divide 3091296? True Does 14 divide 360234? True Is 20 a factor of 2399627? False Does 167 divide 339177? True Does 4 divide 433748? True Is 33 a factor of 1576657? False Is 890784 a multiple of 432? True Is 8 a factor of 914736? True Is 417881 a multiple of 35? False Is 39 a factor of 1349595? True Is 168432 a multiple of 264? True Does 116 divide 295621? False Does 163 divide 562870? False Is 30 a factor of 142960? False Does 321 divide 694311? False Is 5 a factor of 91351? False Is 1766875 a multiple of 11? True Does 21 divide 342531? True Is 62 a factor of 752122? True Is 52 a factor of 47164? True Is 2145478 a multiple of 712? False Is 197157 a multiple of 220? False Is 1352 a factor of 2422378? False Is 30 a factor of 375257? False Is 144205 a multiple of 191? True Is 884741 a multiple of 23? True Is 1678308 a multiple of 4? True Is 35 a factor of 266525? True Does 91 divide 5112063? False Is 31 a factor of 133362? True Is 187955 a multiple of 64? False Is 2742409 a multiple of 622? False Is 136725 a multiple of 39? False Is 4 a factor of 70904? True Is 694625 a multiple of 10? False Does 637 divide 375747? False Does 64 divide 1303313? False Is 35 a factor of 750925? True Does 34 divide 19040? True Is 1350337 a multiple of 14? False Is 11445740 a multiple of 65? False Is 82 a factor of 351774? False Does 18 divide 2412900? True Is 42131 a multiple of 2? False Is 48 a factor of 8208? True Is 234 a factor of 40716? True Does 440 divide 309760? True Does 16 divide 150448? True Is 22 a factor of 3851144? True Does 6 divide 2019961? False Is 107830 a multiple of 10? True Is 1140637 a multiple of 732? False Is 347 a factor of 621130? True Is 144 a factor of 882144? True Does 34 divide 106522? True Does 63 divide 34461? True Is 14 a factor of 680448? False Does 8 divide 310600? True Does 39 divide 27295? False Does 24 divide 353592? True Is 9 a factor of 126618? False Does 73 divide 172864? True Is 753159 a multiple of 3? True Is 5350624 a multiple of 45? False Does 117 divide 714051? True Does 662 divide 807408? False Is 172 a factor of 138976? True Does 9 divide 151434? True Does 194 divide 1406500? True Is 21 a factor of 1069096? False Is 7 a factor of 405180? False Does 12 divide 27120? True Is 72 a factor of 1497773? False Is 132248 a multiple of 122? True Does 26 divide 324130? False Does 2 divide 11905? False Is 119 a factor of 100555? True Is 160335 a multiple of 19? False Is 11 a factor of 172322? False Does 45 divide 132657? False Is 3751 a multiple of 3? False Does 53 divide 2967758? False Is 23 a factor of 29440? True Does 41 divide 23299? False Is 191607 a multiple of 10? False Is 569 a factor of 9238284? True Is 101 a factor of 7740945? False Is 283560 even? True Does 1234 divide 5767709? False Is 1091475 a multiple of 441? True Is 13 a factor of 15474836? True Is 1622488 a multiple of 49? True Is 2044515 a multiple of 19? False Is 30 a factor of 37851? False Does 1204 divide 9391200? True Does 20 divide 4654840? True Does 39 divide 16692? True Does 86 divide 122808? True Doe
{ "pile_set_name": "DM Mathematics" }
-4 Let n(j) = j**2 - 7*j + 9. Suppose 4*q = -2*t - 82, -3*q + 1 - 66 = 5*t. Let z be ((-8)/q)/((-1)/(-15)). Let p be n(z). Solve -p*w = -4*w for w. 0 Suppose 40 = 4*p + 4*s, -5*p + 2*s - 3*s + 30 = 0. Let g(b) be the first derivative of b**2/2 + b + 1. Let v be g(3). Solve -v*z = p - 17 for z. 3 Suppose -4*m - 7 = -47. Let t be (-20)/m - (-44)/2. Solve -3*a = a + t for a. -5 Let j be (-6)/(3 - 5/1). Solve -6 + 3 = j*q for q. -1 Let a(j) = -j**3 - 7*j**2 - 7*j - 4. Let d(v) = -7*v**2 + 1. Let t be d(-1). Let y be a(t). Suppose -y*x + 3*x = 5. Solve -2*c + c = -x for c. 5 Suppose 3*m + 2*k - 2 = 0, -k = 4*m + 2*k - 2. Let u be (-1 - (-21)/9) + (-15)/(-9). Suppose 0 = 4*p - 5*z - 10 - 3, -p = -2*z - 1. Solve p = u*t - m for t. 3 Suppose -1 - 3 = -2*c. Suppose -c*a = -a. Solve 5 + a = v for v. 5 Let d(h) = 4*h - 4. Let x be d(3). Let w(s) = -s + 4. Let q be w(7). Let i = x + q. Solve 0*p = i*p - 10 for p. 2 Let x(i) = -i + 15. Let q be x(8). Let g(k) = k**2 - 8*k + 10. Let a be g(q). Solve 4*v + 1 + a = 0 for v. -1 Let u be (-2)/(-9) + 1115/45. Suppose 3*w - 25 = -2*w. Solve u = -0*l + w*l for l. 5 Let w(g) = -g**3 + 5*g**2 + 5*g - 5. Let v be w(5). Solve -6*q - v = -q for q. -4 Let y(c) = -c**3 + 3*c**2 + c + 2. Let u be y(3). Solve 5*v = -5 - u for v. -2 Let r be (-2)/7 + (-90)/(-21). Suppose x = -2*o - 3, -o = r*x - x + 9. Solve o = -3*h - h - 16 for h. -4 Suppose -2*r + 0*r + l = 0, -3*r = -3*l + 6. Solve 0 = v - r*v for v. 0 Let j = 4 + -1. Let h = 15 - j. Solve 0*z - h = 4*z for z. -3 Suppose 2*y + f + 10 = 0, 4*f - 5*f = -4. Suppose 3*o + h = -10, o + 4*h - 2 - 2 = 0. Let v = o - y. Solve t = v*t + 10 for t. -5 Let y be (8 - 6)/(4/6). Suppose -3*v + 0*r + 5 = -5*r, -y*v + 4*r = -7. Solve c = v*c + 8 for c. -2 Suppose 4*y - 2*u - 28 = 0, -6*y + 2*y = 2*u - 12. Let d = 15 + -11. Suppose 10 = -w - w, -d*s + 45 = -y*w. Solve 0*l = s*l - 15 for l. 3 Let r be 10/(15/(-5) + 5) - 0. Solve r*n - 8 = n for n. 2 Let u(s) = -s + 2. Let z be u(9). Let t = 6 + z. Let v be (1 - (t + 2))/1. Solve v = 2*d + 2 for d. -1 Suppose -2*c + 4*c = -3*w + 9, -5*w + 14 = 3*c. Let v be (-4 - -1) + 1 + 0. Let h = 7 + v. Solve w = 4*m + h for m. -1 Let u = -1 - -1. Solve s + 5 = -u for s. -5 Let c = 17 - 14. Suppose -j = -c*j + 8. Solve j = k - 0*k for k. 4 Let g = 1 - -12. Let s = 6 - 2. Suppose -2*o = -s*o + 10. Solve o*r = -3 + g for r. 2 Suppose -5*u = -6 - 4, 4*y - 2*u - 16 = 0. Suppose y*m - 2*d = d - 5, 0 = 2*m - d + 1. Let v(c) = -c**3 + 17*c**2. Let h be v(17). Solve m*t - 8 = -h*t for t. 4 Let r(f) = -f - 1. Let x be r(-6). Let c = -10 + 14. Let m be 74/c - 9/6. Solve x*z + m - 2 = 0 for z. -3 Suppose -2*d - 1 = -l, -3*l - 3*d = -8*d - 4. Solve l*z - 3 = -9 for z. -2 Let r be 22/(-8) + 13/(-52). Let u(d) = d**2 + 2*d + 2. Let p be u(r). Solve w = p*w - 8 for w. 2 Suppose s = 3*s - u - 11, s + 4*u + 17 = 0. Solve 0 = s*l + 4 - 13 for l. 3 Let k = 10 + -8. Let f(m) = -m**2 + 6*m + 4. Let q be f(6). Solve -q*z = -k*z for z. 0 Let n(i) = 4*i - i - 2*i. Let t be n(2). Let w = -4 + 6. Solve t = -w*k - 0*k for k. -1 Let u(r) = r + 9. Let t(j) = j + 1. Let n(z) = 4*t(z) - u(z). Let f be n(5). Solve 4*b + f = -b for b. -2 Let m(b) = b - 3. Let f be m(3). Suppose 2*r = 4*t - 14, 2*t + 3*r + f + 5 = 0. Solve 0 = -t*x - 7 + 3 for x. -2 Let o be (7 - -1)*(-2)/(-4). Let r(b) be the second derivative of b**4/3 - b**2/2 - 2*b. Let x be r(-1). Solve n - x*n - o = 0 for n. -2 Let b be (-35)/(-11) + (-6)/33. Suppose -b*w = -0*w. Solve 4*d - 10 - 2 = w for d. 3 Suppose 0*x + 7 = -x - 5*i, 9 = x - 3*i. Let p = -41 - -61. Solve -p = -x*u - u for u. 5 Suppose 0*f - 16 = -2*f. Let d = f + -5. Solve 2*q + 3 = -d for q. -3 Let f be 1*-2 + (28/(-4) - -18). Solve -12*x + f*x = 9 for x. -3 Let z(y) = -9*y. Let w be z(-1). Let g(v) = -v**3 - 9*v**2 - 7*v + 2. Let a be g(-8). Let b be a/w*(-3)/2. Solve -2*j = -j - b for j. 1 Let a(c) = c**2 - 3*c. Let l be a(5). Suppose 0 = 4*y + 1 - 13. Suppose -y*x + l = -x. Solve x*k - 3 = 2*k for k. 1 Let c be (-8)/16*24/(-1). Suppose -3*q = -8*q + 10. Suppose i = -r + 4*i + 4, 3*r + q*i = c. Solve -r - 5 = -3*f for f. 3 Let t = -58 + 61. Solve t = -3*w - 0 for w. -1 Let o = -2 - -17. Solve 2*z = -z + o for z. 5 Suppose 3*g - 10 - 19 = 2*n, 0 = -5*g - 5*n + 40. Let b be (6/g)/(4/(-6)). Let q be b/3*(-7 - -1). Solve 2*c = 3*c - q for c. 2 Suppose -2*d - 12 = -d. Let t be d/(-9)*(-6)/(-4). Let a(u) = -9*u + 82. Let z be a(9). Solve -z = m - t for m. 1 Let t = -33 + 36. Solve 2*c + t*c = -15 for c. -3 Suppose 4*d - 20 = -0*n - 5*n, -4 = 5*d - n. Solve d = -2*a + 3*a + 4 for a. -4 Let g(c) = c**2 + 3*c - 8. Let y be g(-5). Suppose 0 = -k + y*k. Solve -3*b - 12 = -k*b for b. -4 Let o be 22/8 - 12/16. Let n be 17/34 - (-5)/o. Solve 3*v = -0*v + n for v. 1 Suppose -12 = -i + 4*f, 0*f - 3*f - 9 = 0. Let j = 15 - 18. Let u be 7*(17/(-7) - j). Solve i = c - u + 2 for c. 2 Let g = 11 + -7. Suppose g*n = -n. Solve n*l + 5*l = 0 for l. 0 Let s = -6 + 9. Let w = s - 3. Solve w = 5*y + 24 - 4 for y. -4 Suppose -5*b + b = 0. Solve -q + 4*q - 6 = b for q. 2 Let d be (-3)/(4/((-16)/4)). Solve d*h = 1 + 2 for h. 1 Let z = 17 + -17. Let p(o) = -o + 5. Let v be p(0). Solve z = 5*u - 0*u - v for u. 1 Suppose -2*o = -7 - 1. Suppose 0 = -o*y + 3*y + 2. Solve q + y*q = 0 for q. 0 Let z be (300/(-70))/((-75)/(-42) + -2). Suppose 3*r - 15 = -0*r. Solve 0*j + z = r*j for j. 4 Let v(l) = -l**2 + 3*l + 4. Let q be v(4). Suppose 3*d = 4*d - 8. Let m(y) = y - 4. Let f be m(d). Solve q = f*s + s for s. 0 Suppose -27*x = -28*x + 2. Solve -t + 6 = x*t for t. 2 Let n be (-1)/5 - (-96)/30. Solve -5 - 4 = -n*f for f. 3 Let x = -20 + 24. Solve d = -0 + x for d. 4 Let p = -34 - -22. Suppose 15 + 0 = 5*q. Let j be (p/10)/(q/(-15)). Solve -j = -4*o + 6 for o. 3 Suppose -10 = -g - g. Solve 3*a + 2*a = g for a. 1 Let t(x) = -x**3 + 5*x**2 + 6*x + 3. Let v be t(6). Suppose -v*j = -j - 6. Solve -23 + j = 4*q for q. -5 Suppose m + 3*d - 14 = 6, 3*m - 3*d = 24. Solve -4*n = m + 9 for n. -5 Suppose 0 = -5*r + 7*r - 10. Solve 0 = j - r for j. 5 Let a be -2*(2 + 15/(-2)). Let z = -9 + a. Solve -3*k = z*k for k. 0 Suppose -5*d + 5 = 3*x - x, 5*d - 5 = -4*x. Suppose 5 = -x*v + 5*v. Suppose 0 = -2*n - v + 31. Solve 3*c - 8*c = n for c. -3 Let o be (-177)/(-9) + (-2)/(-6). Let l be (-2)/(-3) - o/(-6). Solve n + l = -n for n. -2 Suppose 6 = 25*g - 22*g. Solve g*r = -r for r. 0 Let k = 146 + -141. Solve -1 - k = 3*n for n. -2 Let m(x) = x**2 + 4*x. Let r be m(-3). Let v(o) = -o + 2. Let p be v(r). Let c = 4 + -4. Solve c*q = -5*q + p for q. 1 Let v be 0 - 7/(14/(-8)). Suppose -3*l + 5*r + 44 = l, 0 = 4*l + v*r - 8. Solve -2*f + l = -0*f for f. 3 Let q = 28 - 39. Let y(f) = -f**2 - 10*f + 14. Let u be y(q). Solve u*d = -0*d for d. 0 Let w be (-10)/(-4) - (-10)/(-20). Let x be (w/(-6))/((-1)/15). Solve 0 = -g + 1 - x for g. -4 Let j(k) = k**2 + 16*k + 15. Let r be j(-15). Suppose 2*c - d = 25, 3*d + 2*d + 41 = 3*c. Solve r*b - 4*b + c = 0 for b. 3 Suppose -2*v = -4 - 0. Let k = 94 + -94. Solve v*s + s + 3 = k for s. -1 Let o be -10*(-2)/(-8)*-2. Let c(x) = x**2 + x - 3. Let d be c(4). Solve o*y - d + 2 = 0 for y. 3 Let i = 50 - 27. Solve 0 = 5*t + 8 - i for t. 3 Let x(y) = 3*y + 2. Let k be x(1). Suppose k*t - 3*t - 50 = 0. Solve t = -5*u - 0*u for u. -5 Let i = -68 - -78. Solve -3*y = 2*y + i for y. -2 Let u = 27 + -22. Let a be (1 - -4)*(5 + -4). Suppose -3*k - 1 = a*x + k, 4*x + 5*k + 8 = 0. Solve x*p = -2*p + u for p. 1 Suppose 0 = -5*c + 3*c + 8. Suppose 0 = -0*y - 5*y + 2*t + 5, 4*y + 3*t - 27 = 0. Solve -o + c*o = y for o. 1 Suppose 4 = -5*c + 4*k + 10, 0 = -4*c - 4*k + 12. Let p(o) = -o - 1. Let l be p(-5). Suppose -5*n + 3*a = -12, 8 = 5*n - n - l*a. Solve n*h - c*h = -2 for h. -2 Let h = -5 - -8. Suppose -h*k = -g - 6, -2*k = k - 6. Let a be g*(0 + 1) - -2. Solve -a*n - 6 = 4 for n. -5 Let k be 13/(-78) + (250/(-12))/(-5). Solve -k*a + 10 = -2 for a. 3 Let c be 3 + 0 + (10 + -4)/(-2). Solve a = -c - 2 for a. -2 Let q(s) be the second derivative of s**3/3 - 3*s**2/2 + 5*s. Let t be q(9). Solve -t = n + 2*n for n. -5 Let d(s) = -s**3 + 2*s**2 + 4*s + 1. Let m(n) = -n**3 - 4*n**2 + 6*n - 5. Let q be m(-5). Let p = -7 - q. Let j be d(p). Solve -2*f = 8 - j for f. -2 Suppose 0 = -7*s + 3*s + 12. Supp
{ "pile_set_name": "DM Mathematics" }
u**2 + 1313*u - 19477. Determine t(15). -7 Let j(z) = -19*z - 671. Give j(-36). 13 Let n(x) = -380*x + 6745. Calculate n(18). -95 Let w(o) = 7*o**3 + 121*o**2 + 37*o + 73. Determine w(-17). 22 Let f(x) = x**2 + 45*x + 368. Determine f(-35). 18 Let r(d) = 2*d**3 - 11*d**2 - 18*d - 2. Give r(7). 19 Let b(o) = -o**3 + 3*o**2 + 2*o - 12. What is b(2)? -4 Let x(o) = 5*o**2 - 47*o + 80. What is x(2)? 6 Let s(p) = 219*p + 1757. Calculate s(-8). 5 Let k(d) = -2*d**2 + 3*d + 28. Calculate k(6). -26 Let u(w) = 27*w**2 + 11*w + 13. Determine u(-2). 99 Let c(b) = -b**3 - 21*b**2 - 23*b + 85. Calculate c(-20). 145 Let p(b) = -1240*b + 3809. Determine p(3). 89 Let v(g) = -116*g + 55. Calculate v(1). -61 Let l(i) = -i**2 + 54*i - 18. What is l(53)? 35 Let k(d) = 2*d**2 + 871*d - 2628. Give k(3). 3 Let t(k) = 41*k + 190. Determine t(-8). -138 Let u(q) = -86*q - 577. What is u(-8)? 111 Let z(s) = -1197*s + 5983. What is z(5)? -2 Let q(l) = -54*l**2 + 22*l + 7. Determine q(-2). -253 Let z(j) = 17*j**3 - 5*j**2 - 12*j - 12. What is z(-2)? -144 Let x(q) = 33*q**3 - 21*q**2 - 21*q - 2. What is x(-1)? -35 Let c(p) = 63*p - 1645. Calculate c(26). -7 Let r(c) = c**2 + 301*c + 3104. Calculate r(-10). 194 Let z(l) = -6*l**2 + 33*l - 13. What is z(5)? 2 Let d(s) = 255*s**2 - 1038*s + 4. Calculate d(4). -68 Let r(q) = -q**3 + 12*q**2 + 101*q + 113. What is r(18)? -13 Let n(s) = -7447*s - 67017. Give n(-9). 6 Let s(b) = -268*b**3 - 2*b + 3. Determine s(1). -267 Let r(m) = -503*m - 45756. Determine r(-91). 17 Let s(f) = -203*f + 166. What is s(1)? -37 Let o(m) = -2*m**2 + 1505*m - 19222. What is o(13)? 5 Let f(q) = 8*q**2 - 5*q + 21. What is f(5)? 196 Let j(q) = -491*q - 6386. Give j(-13). -3 Let f(h) = 196*h + 3046. What is f(-16)? -90 Let n(a) = a**2 + 2*a - 30. Calculate n(-6). -6 Let z(f) = -f**2 + 16*f - 72. What is z(10)? -12 Let v(h) = 3*h**2 - 12*h - 2. What is v(-5)? 133 Let h(o) = 2*o**2 - 51*o - 59. Give h(22). -213 Let a(p) = 2*p**3 - 121*p**2 + 46*p - 157. Give a(60). -997 Let v(g) = -g**3 - 23*g**2 - 245*g - 8397. Give v(-26). 1 Let n(t) = -t**2 - 41*t - 260. Give n(-28). 104 Let a(u) = u**3 + 6*u**2 - 22*u - 21. What is a(-9)? -66 Let d(m) = -4216*m + 80102. Calculate d(19). -2 Let b(a) = -33*a - 19. Calculate b(1). -52 Let a(i) = i**3 + 2*i**2 - 83*i - 42. Give a(-10). -12 Let k(p) = p**3 + 81*p**2 - 166*p + 43. Give k(-83). 43 Let s(u) = 1182*u + 21283. Determine s(-18). 7 Let d(q) = -q**3 + 43*q**2 - 88*q + 231. What is d(41)? -15 Let m(f) = f**2 - 467*f - 8718. Determine m(-18). 12 Let s(a) = 7*a**3 - 4*a**2 - 6*a + 6. What is s(1)? 3 Let s(l) = -109*l - 11662. What is s(-107)? 1 Let h(f) = 4*f**3 - 41*f**2 - 12*f + 95. Determine h(10). -125 Let f(k) = -125*k**2 - 651*k - 101. Give f(-5). 29 Let g(h) = 27*h + 52. What is g(-4)? -56 Let f(z) = 3*z**3 + 214*z**2 + 72*z + 84. Give f(-71). 13 Let i(d) = -11*d + 310. Determine i(29). -9 Let v(g) = -213*g - 63280. What is v(-297)? -19 Let n(f) = 6*f + 7. Determine n(-2). -5 Let v(p) = 5122*p - 66571. Determine v(13). 15 Let w(y) = 30*y + 3094. Calculate w(-103). 4 Let v(y) = -18*y**2 + 161*y - 16. Determine v(9). -25 Let p(g) = 2*g**3 + 42*g**2 - 121*g - 1690. What is p(-22)? 4 Let q(n) = -29*n - 232. Determine q(-9). 29 Let f(p) = p**2 - 31*p - 27. Give f(34). 75 Let d(p) = -p**3 + p**2 - p + 85. What is d(0)? 85 Let v(b) = b - 179. Determine v(-10). -189 Let n(h) = 356*h**2 - 13*h + 11. Calculate n(1). 354 Let k(t) = 8*t - 308. Calculate k(26). -100 Let j(p) = 218*p + 11469. Give j(-53). -85 Let f(w) = -w**2 - 66*w - 614. Give f(-12). 34 Let d(b) = -b**2 - 53*b - 645. Calculate d(-18). -15 Let b(s) = 104*s + 1262. Calculate b(-12). 14 Let f(h) = 68*h**2 + 1222*h - 57. Calculate f(-18). -21 Let n(y) = 137*y + 7699. Determine n(-56). 27 Let b(r) = 2*r**2 + 137*r + 1903. Determine b(-49). -8 Let g(x) = 6*x**3 - 169*x**2 + 37*x - 97. Calculate g(28). 155 Let t(j) = 26*j + 299. Calculate t(-13). -39 Let p(y) = 12574*y - 50271. Give p(4). 25 Let g(n) = n**3 + 3*n**2 - 110*n + 16. Calculate g(9). -2 Let u(m) = -104*m**2 - 408*m + 23. Determine u(-4). -9 Let o(p) = -12*p**3 + 335*p**2 + 10*p + 504. Determine o(28). 0 Let t(y) = 99*y**3 + 3*y**2 + 2*y - 5. What is t(1)? 99 Let r(z) = 29*z - 78. What is r(9)? 183 Let g(w) = -124*w - 20716. Calculate g(-167). -8 Let p(t) = -t**3 + 23*t**2 - 70*t + 32. Determine p(20). -168 Let a(x) = x**2 - 22*x - 11. Calculate a(4). -83 Let p(g) = g**3 + 5*g**2 + 5*g + 96. Determine p(-6). 30 Let r(c) = -66*c - 6733. Calculate r(-102). -1 Let q(r) = -16*r - 39. Give q(-5). 41 Let i(n) = 2*n**2 - 6327*n + 37880. Give i(6). -10 Let q(f) = -3*f**2 + 175*f - 108. Calculate q(57). 120 Let v(r) = -59*r + 723. Give v(11). 74 Let w(z) = 156*z - 2025. Calculate w(13). 3 Let m(c) = -8*c**3 + 22*c**2 - 5*c + 5. What is m(5)? -470 Let a(u) = -24*u - 1410. Determine a(-57). -42 Let d(b) = b**2 - 59*b - 130. Give d(27). -994 Let k(i) = 256*i - 8706. What is k(34)? -2 Let l(d) = -274*d - 1821. Give l(-6). -177 Let q(k) = -6*k**2 - 643*k - 7362. Determine q(-13). -17 Let x(z) = -z**3 - 36*z**2 - 201*z + 57. What is x(-29)? -1 Let a(s) = 108*s - 745. What is a(7)? 11 Let h(a) = 7945*a + 103284. What is h(-13)? -1 Let l(u) = u**2 + 1058*u - 20461. Determine l(19). 2 Let t(x) = 48*x**2 - x + 965. What is t(0)? 965 Let u(s) = s**3 - 4*s**2 - 17*s + 27. Determine u(9). 279 Let y(u) = u**3 + 17*u**2 + 83*u + 96. What is y(-6)? -6 Let w(d) = -2*d**3 + 6*d**2 + d + 1. What is w(-1)? 8 Let t(g) = -13*g - 508. Give t(-33). -79 Let t(c) = -34*c - 1053. What is t(-27)? -135 Let x(h) = 2*h**2 - 458*h + 454. What is x(1)? -2 Let w(h) = -9*h**2 + 6*h. Determine w(-3). -99 Let v(s) = 673*s - 10113. Calculate v(15). -18 Let s(c) = 2*c**3 - 108*c**2 + 106*c + 33. What is s(53)? 33 Let r(x) = x**3 + 3*x**2 - 20*x - 61. Determine r(-4). 3 Let d(k) = -k**3 + 38*k**2 + 263*k + 51. What is d(44)? 7 Let i(m) = 7*m**3 - 131*m**2 - 37*m - 18. Calculate i(19). 1 Let i(o) = -5*o - 77. Give i(9). -122 Let l(r) = -r + 15. Determine l(17). -2 Let a(m) = -m**3 - 13*m**2 - 17*m - 26. Give a(-12). 34 Let q(d) = -21*d**2 + 17*d - 9. Give q(1). -13 Let j(x) = -19*x**3 + 190*x**2 + 20*x - 206. Calculate j(10). -6 Let p(j) = -j**3 + 10*j**2 - 26*j + 404. Determine p(11). -3 Let i(k) = -12*k**2 + 113*k + 9. Give i(9). 54 Let o(q) = 2*q**3 - 68*q**2 - 5*q + 158. Determine o(34). -12 Let m(r) = -2*r**3 - 6*r**2 - 803*r - 2403. Determine m(-3). 6 Let l(y) = 162*y + 3574. Give l(-22). 10 Let n(c) = -388*c - 4673. Give n(-12). -17 Let d(i) = -i**3 + 35*i**2 + 340*i + 146. Give d(43). -26 Let j(x) = 3*x**3 + 491*x**2 + 327*x + 138. Determine j(-163). -25 Let p(u) = -u**2 - 26*u + 100. Determine p(5). -55 Let t(j) = -561*j + 55544. Give t(99). 5 Let w(f) = -3*f**3 + 39*f**2 - 35*f - 58. What is w(12)? -46 Let y(b) = b**2 + 37*b - 356. Determine y(-45). 4 Let k(w) = -w**3 + 83*w**2 - 1213*w - 12. Determine k(19). 45 Let o(d) = d**3 - 34*d**2 + 66*d - 66. What is o(32)? -2 Let f(v) = -98*v + 2952. What is f(31)? -86 Let j(f) = -22*f**2. Give j(-1). -22 Let o(x) = -44*x - 1407. Give o(-32). 1 Let w(i) = -139*i - 15. Determine w(-3). 402 Let s(p) = 12*p - 250. Determine s(0). -250 Let l(f) = -f**3 - f**2 + 6*f + 58. Determine l(4). 2 Let t(v) = -16*v**2 + 9*v - 38. What is t(3)? -155 Let p(i) = i**2 - 28*i - 214. Determine p(34). -10 Let j(x) = x - 40. What is j(-48)? -88 Let c(d) = 6*d - 100. What is c(17)? 2 Let n(p) = -178*p**2 + 2126*p - 4. Calculate n(12). -124 Let v(p) = p**3 - 85*p**2 + 872*p + 265. Give v(73). -27 Let v(k) = k**2 - 43*k + 155. Calculate v(4). -1 Let m(c) = -86*c**3 - 3*c + 1. Determine m(1). -88 Let k(a) = 120*a**3 + 3*a**2 - 17*a + 26. Determine k(2). 964 Let c(y) = 10*y**3 - 24*y**2 + 50*y + 4. Determine c(2). 88 Let s(x) = -3*x**2 - 135*x + 320. Determine s(-47). 38 Let i(m) = 5*m**2 - 83*m - 1604. Calculate i(28). -8 Let m(k) = -31*k + 2556. Give m(81). 45 Let o(c) = -71*c - 3128. Calculate o(-44). -4 Let o(c) = 2*c**2 - 120*c + 175. Calculate o(58). -57 Let u(c) = -319*c + 946. What is u(3)? -11 Let u(x) = -x**3 - 85*x**2 - 703*x - 1445. Give u(-76). -1 Let l(d) = -557*d + 3922. Give l(7). 23 Let c(v) = -v**2 - 90*v + 180. What is c(-92)? -4 Let c(p) = p**3 + 15*p**2 - 37*p - 175. Give c(-17). -124 Let n(x) = x**3
{ "pile_set_name": "DM Mathematics" }
third derivative of 81*g*u**6 - 2*g*u**2 - 16*g - u**6 - 11*u wrt u? 9720*g*u**3 - 120*u**3 What is the first derivative of 4*d*s**4 + 9*d*s**2 - 13886*d + 239*s wrt s? 16*d*s**3 + 18*d*s + 239 Find the third derivative of 54*b**3*d**3*q - 2*b**3*q + 2*b**2*d**3*q + 21*b**2 + d**3*q wrt b. 324*d**3*q - 12*q What is the second derivative of -1731*s**5 - 263*s - 4? -34620*s**3 Find the third derivative of 2*u**4 + 273*u**3*x - 6*u**2*x + 197*x wrt u. 48*u + 1638*x What is the third derivative of -133*t**5 + 9*t**2 - 7 wrt t? -7980*t**2 What is the third derivative of 1341*c**6*m**3 - 2*c**4*m**3 - 1831*c**2 + m**3 wrt c? 160920*c**3*m**3 - 48*c*m**3 What is the derivative of 1954*l*x + 1790*x wrt l? 1954*x What is the first derivative of -1650*q**2 + 2*q + 1553 wrt q? -3300*q + 2 Find the second derivative of -2*s**2 - 31*s - 2 wrt s. -4 Find the first derivative of -3*c**2*k**2 - c**2*k - 2357*c**2 - 3*c*k**2 - c + 2*k**2 wrt k. -6*c**2*k - c**2 - 6*c*k + 4*k What is the second derivative of 59*x**3 + 2*x + 222? 354*x Find the third derivative of -113*z**4 - 292*z**2 wrt z. -2712*z Find the third derivative of -2*i**3*v**5 - 5*i**3*v**2 - 6*i**3*v - 2*i**2*v**2 + 7*i**2*v + 5627*i*v**6 wrt v. -120*i**3*v**2 + 675240*i*v**3 Differentiate 11224*b - 2461 with respect to b. 11224 What is the third derivative of 15*n**2*x**3 - 397*n**2*x**2 + n**2 - 6*n*x**6 + 12*n*x**3 - 2*n*x - 3*x wrt x? 90*n**2 - 720*n*x**3 + 72*n What is the third derivative of -3*m**5 - 7*m**3 + 4*m**2 + 12 wrt m? -180*m**2 - 42 What is the first derivative of -4492*m**3 - m - 4655? -13476*m**2 - 1 What is the third derivative of -3253*k*m**3*u**3 + 3*k*m**3 - 32*m**2*u**2 wrt u? -19518*k*m**3 Find the second derivative of -48*d*l**3*p**2 + 6*d*l**2*p**2 + 9*d*l**2 + 4*d*p + l**3 wrt p. -96*d*l**3 + 12*d*l**2 What is the third derivative of -3*d**5 + 13*d**3 + 14*d**2? -180*d**2 + 78 Differentiate 482*c**4 + 15157 wrt c. 1928*c**3 What is the second derivative of 29*p**3*s**2 - 3*p**3*s + 48*p**3 + 6*p*s**5 + 2*s**5 wrt s? 58*p**3 + 120*p*s**3 + 40*s**3 What is the first derivative of -194*a**3 + a**2 - 7470 wrt a? -582*a**2 + 2*a Differentiate 1185*y**2 - 5960 wrt y. 2370*y Find the third derivative of 30*j**6 - 3*j**3 + 18*j**2 + 3*j. 3600*j**3 - 18 What is the derivative of -2915*o**3 - 2639 wrt o? -8745*o**2 What is the third derivative of 38*f**2*n**4 - f**2*n + f*n**6 - 198*f*n**2 wrt n? 912*f**2*n + 120*f*n**3 What is the second derivative of 2*f**2*q**2 + 2*f**2*q - f**2 - 30*f*q**3 - 73*f wrt q? 4*f**2 - 180*f*q Find the second derivative of -210*y**2 - 479*y. -420 Differentiate -779*n**2 + 134 wrt n. -1558*n Find the second derivative of 66*l**3*r**2 - 4*l**3*r + l*r - 15*r wrt r. 132*l**3 Find the first derivative of 183*i*j**2 - j**2 + 146*j wrt i. 183*j**2 Find the third derivative of 3148*z**4 + 2*z**3 + 1929*z**2 wrt z. 75552*z + 12 What is the derivative of 2*f*i*p**2 - f*i + 126*f + 259*i*p**2 - 2*p**2 wrt i? 2*f*p**2 - f + 259*p**2 What is the first derivative of -561*z**3 + 205? -1683*z**2 Find the third derivative of -4*p**3*x**3 + 15*p**3*x + 45*p**2*x**3 - 2*x**3 wrt p. -24*x**3 + 90*x Find the second derivative of -17*b**4 - 10*b**2 + b - 788 wrt b. -204*b**2 - 20 What is the third derivative of 9*k**6 - 11*k**5 + k**3 - 3054*k**2 + k? 1080*k**3 - 660*k**2 + 6 Find the first derivative of c**4 - 299*c*z**2 - z**2 + 177*z wrt c. 4*c**3 - 299*z**2 What is the third derivative of l**5 + 68*l**3*y - l**2*y + 2*l - 6*y wrt l? 60*l**2 + 408*y What is the second derivative of 4*b**3*g - b**2*g**2 + 4*b**2*g + 3*b*g**2 - 26 wrt b? 24*b*g - 2*g**2 + 8*g What is the third derivative of -c**4*t - 14*c**4 - c**3 - 41*c**2 + 2*c*t + c wrt c? -24*c*t - 336*c - 6 What is the second derivative of 9*a**2*d*v + 2*a**2*d + 2*a**2*v + 4*a + 53*d*v - 2*d wrt a? 18*d*v + 4*d + 4*v What is the first derivative of 2*l**3*q + 3*l**3 + 12*q wrt q? 2*l**3 + 12 What is the third derivative of 457*c*t**4*u + 2*c*t**2*u**2 + c*t - 2*c*u + t**4*u**3 + 3*t*u**3 wrt t? 10968*c*t*u + 24*t*u**3 Find the second derivative of 12111*t**4 - 7141*t wrt t. 145332*t**2 Differentiate 5*c**2*z**2 - 7*c**2*z + 2*c*z**2 + 2*z**2 + 288*z wrt c. 10*c*z**2 - 14*c*z + 2*z**2 What is the third derivative of 20818*s**3 - 204*s**2 + 8 wrt s? 124908 What is the derivative of -13*u**3*x - 193*u**3 + 85*u*x - 4*u wrt x? -13*u**3 + 85*u What is the second derivative of -211*o**2 - 80*o? -422 Find the second derivative of 113*j**5 - j**4 - 2*j - 1. 2260*j**3 - 12*j**2 What is the second derivative of -174*c**4*t - c**3*t + c*t + 314 wrt c? -2088*c**2*t - 6*c*t What is the third derivative of -6*o**4 - 206*o**3 + 8889*o**2 wrt o? -144*o - 1236 Find the first derivative of 630*d**3 - 339. 1890*d**2 What is the derivative of 3449*n**4 + 2588 wrt n? 13796*n**3 What is the third derivative of 25579*l**2*t**3 - 153*l**2*t + 40*l**2 - l*t**2 wrt t? 153474*l**2 Find the third derivative of 4*c**2*g**3*y**3 - 2*c**2*g**2 - 21*c**2*g*y**3 - 286*g**3 + 2*y**2 wrt y. 24*c**2*g**3 - 126*c**2*g What is the second derivative of 4*y**4 + 310*y**3 - y**2 + 41*y - 49 wrt y? 48*y**2 + 1860*y - 2 What is the third derivative of 2*a**2*q**3*z - a**2*q**2*z + 19*a**2*q**2 + 7*a*q**3*z + 7*q**3 + 2*q*z wrt q? 12*a**2*z + 42*a*z + 42 What is the derivative of 892*h**3*p + 4008*h**3 - 4*p wrt p? 892*h**3 - 4 Differentiate -b**2*v - 4*b**2*x - 42*b*v + 4*v*x - 63*x + 2 wrt v. -b**2 - 42*b + 4*x What is the first derivative of 2*k*s**2 + 436*k - 716*s**4 wrt s? 4*k*s - 2864*s**3 What is the third derivative of 8242*d**2*z**3 - 4*d**2*z**2 + 604*d**2*z wrt z? 49452*d**2 What is the second derivative of -75*f**2 + 2*f + 4 wrt f? -150 What is the third derivative of 98*g**2*q**4 + 568*g**2*q**2 - 7*g**2*q + 10*q**4 wrt q? 2352*g**2*q + 240*q What is the third derivative of -324*r**3*x**3 + r**3 - 27*r**2*x**3 + 2*r*x**3 + 2*x wrt r? -1944*x**3 + 6 Differentiate -5*t**3*v**2 - 19*t*v**3 - t*v**2 + 2*v**3 - 30 with respect to t. -15*t**2*v**2 - 19*v**3 - v**2 What is the third derivative of -11160*d**4 - 3*d**2 - 2275*d + 2 wrt d? -267840*d Find the second derivative of -w**3 - 4688*w**2 + 8*w - 217 wrt w. -6*w - 9376 Find the second derivative of 378*u**3*y + 3*u**2*w*y**2 - 3*u**2*w*y + 4*u*w*y - 18*u*y**2 - 32*u*y - w*y + w wrt u. 2268*u*y + 6*w*y**2 - 6*w*y Differentiate 5*b*d**2*s**3 + 56*b*d**2*s - b*d*s - b*s**2 + 170*b + 5*s**3 wrt d. 10*b*d*s**3 + 112*b*d*s - b*s Differentiate -27*n*y - 73*n - 10*y with respect to y. -27*n - 10 Find the third derivative of 15*b**5 - 2*b**4 + 13*b**3 + 10511*b**2 wrt b. 900*b**2 - 48*b + 78 What is the derivative of -35*a**3*t - a**3 - 78*a - 34*t wrt t? -35*a**3 - 34 Find the third derivative of -y**5 - 453*y**3 - 1213*y**2 wrt y. -60*y**2 - 2718 Find the third derivative of -44*g**6 + 16*g**4*m**2 - 25*g**2*m**2 + 35*g**2 + 2*g*m + 2*m**2 wrt g. -5280*g**3 + 384*g*m**2 What is the second derivative of 11*b**2*g**2 - 2*b**2*g - 21*b wrt g? 22*b**2 Find the second derivative of 16440*q**2 - 8*q - 516. 32880 What is the first derivative of -27*i**2*l + 34*i**2 + i*l**2 - 37*l**2 + 117*l wrt i? -54*i*l + 68*i + l**2 What is the second derivative of -6*n**3 + 4*n**2 - 307*n + 1 wrt n? -36*n + 8 Differentiate 4139*a**4 - a**2 - 1281. 16556*a**3 - 2*a What is the first derivative of 102*m**3*n - 10*m**3 + 3*m**2*n + 39*m**2 wrt n? 102*m**3 + 3*m**2 Find the second derivative of 346*w**2 + 499*w. 692 Differentiate -411*y**4 - y + 729 with respect to y. -1644*y**3 - 1 Find the third derivative of -542*k*l**3 + 8*k*l**2*n - 10*k*l*n - 2*l**3*n + 3*l**2*n wrt l. -3252*k - 12*n Find the third derivative of -20*u**6 - 2*u**5 + 458*u**2 wrt u. -2400*u**3 - 120*u**2 Find the second derivative of 7*k**4*m**2 - 8*k**4*m - 56*k - 3*m**2 + 2*m wrt k. 84*k**2*m**2 - 96*k**2*m Find the second derivative of -17*g*l**4 + g*l + 15*l**4 - 4 wrt l. -204*g*l**2 + 180*l**2 Find the second derivative of 5*x**3 + 10*x**2 - 2*x wrt x. 30*x + 20 What is the third derivative of -9*j**2*m**3*v**3 + j**2*m**3*v**2 + j**2*m + 23*j*m**3*v**3 + 2*m**3*v + 21*m**3 wrt v? -54*j**2*m**3 + 138*j*m**3 What is the third derivative of -g**3*p**3 - g**3*p**2*q - 7*g**3 - 7*g**2*p**3*q**2 - 2*g**2*p*q**2 wrt p? -6*g**3 - 42*g**2*q**2 What i
{ "pile_set_name": "DM Mathematics" }
p*y**2 + k + s*y and give p. -17 Rearrange 2*h - 25 - 5 - 2*h**2 + 41 to the form u*h**2 + s + z*h and give s. 11 Rearrange -23 - 2*b**2 - 198*b**4 + 385*b**4 + 2*b - b**3 - 13 - 189*b**4 to the form m*b**3 + d*b + g*b**4 + c*b**2 + u and give d. 2 Rearrange 80*s + 1 - 202*s + 1 - 74*s to the form f*s + j and give f. -196 Express (2*p + 6*p - 2*p)*(-3 + 7 + 4) - 1 + 1 + 2*p as a + t*p and give t. 50 Rearrange (-1281 - 9*q + 1281)*((-5*q - q + 3*q)*(2 + 5*q - 2) - 6*q + 6*q - 4*q**2) to the form f*q + h*q**3 + b*q**2 + t and give h. 171 Rearrange -20*u - 25 + 25 + (0 + 1 - 2)*((0 - 4 + 5)*(u + u + 0*u) - 3*u + u + 4*u + 3*u + 0*u - 4*u) to y*u + n and give n. 0 Express (-4957 + 11*z - 5*z**4 + 4957)*(-6 + 4 + 1 + (-3 - 5 + 2)*(-6 + 0 - 1)) in the form u*z**2 + k + f*z**3 + h*z + j*z**4 and give h. 451 Rearrange -2*y**3 - 45 + 95 - 51 + 2*y to v*y**2 + a + c*y**3 + j*y and give j. 2 Rearrange -12*b**4 + b - 2 + 6*b**4 - 6*b**4 - 5*b**4 to the form p*b**3 + v*b**2 + g*b + y*b**4 + m and give g. 1 Rearrange 5 - j**2 + 6*j**4 + 5 + 0*j**2 + 2*j - 16*j**4 + 3*j**4 to a + v*j**2 + o*j + l*j**3 + d*j**4 and give d. -7 Rearrange -54*z + 5 - 15*z**2 - 47*z + 100*z to the form y*z + q + f*z**2 and give f. -15 Rearrange (-1 - 44*h + 4 + 12*h)*(-3*h + h - 2*h) to d*h + v*h**2 + g and give d. -12 Express -9*x + 18*x - 6*x + (-4 - 2 - 1)*(0*x - x + 3*x) as g + t*x and give t. -11 Rearrange (-2*p**4 - 4*p**4 + 3*p**4)*(0 - 3 - 3) + 5*p**2 + p**2 - 8*p**4 + 701*p**3 - 702*p**3 to the form j + b*p**3 + x*p**4 + u*p + w*p**2 and give w. 6 Express 11*q**3 + 9983 + 2*q - 9983 - 2*q**2 as p*q**2 + i*q**3 + v + y*q and give i. 11 Express -31*u - 82*u - 39*u + 27*u as r*u + b and give b. 0 Rearrange 7*t**2 + t**3 + 2*t**4 + 17*t - 23*t - 21*t**2 to g + i*t + a*t**2 + r*t**4 + y*t**3 and give y. 1 Rearrange 53*y + y**2 - 24*y - 31*y - 1 + 38*y**3 to the form k*y**3 + c*y**2 + p + t*y and give c. 1 Express -23*u**2 + 305*u**3 + 87*u**2 - 310*u**3 in the form c*u**3 + l*u + x + w*u**2 and give w. 64 Rearrange 2498*x - 2498*x + 127*x**2 to the form q + a*x + y*x**2 and give y. 127 Express (39 + 125 + 32 + 9)*(3 + 1 + 1)*(2*k**3 + 0*k + 0*k) as l*k + v + z*k**3 + o*k**2 and give z. 2050 Express -5 + 11 + 58*u**2 - 5 as i*u + q + k*u**2 and give k. 58 Express 2*q**2 - 26*q + 2*q**3 + 15*q + 24*q - 17*q**3 as b*q**3 + r*q + p*q**2 + c and give r. 13 Rearrange (-410 - 463 + 1228)*(5*d + d - 4*d)*(-5 + 1 + 0) to the form m + k*d and give m. 0 Rearrange (-3 - 23 + 10)*(8*q**2 - 14 + 28 - 8)*(-2*q**2 - 4*q**2 + 3*q**2) to j*q**3 + m + k*q**4 + v*q**2 + h*q and give v. 288 Rearrange (a + 2*a - a + (-8*a - 10*a + 14*a)*(4 + 1 - 3))*(-13*a - 69 + 69) to r*a + n*a**2 + w and give n. 78 Express 314*x - 14*x - 12*x + 110*x - 21*x as v*x + g and give v. 377 Express (2*l - 2 + 2)*(0 - 1 + 2) - 3*l + l + 4*l + 1 - 1 - l + 3968 - 7921 + 2*l + 3884 in the form c + k*l and give k. 5 Express 7 + i - 16 - 1 + 3 - 14 in the form d*i + n and give n. -21 Rearrange -2*w**2 + 29*w**3 - 36*w + 36*w + (65*w - 31*w - 32*w - 19*w**3)*(-6 + 5 - 1) to the form j*w**2 + b*w**3 + a*w + d and give j. -2 Rearrange (1 + 0 + 0 + (2 - 1 + 0)*(-2 - 4 + 4))*(3*x**2 - 5*x**2 - 3*x**2)*(0*x + 3*x - x) + 4*x**3 - 5*x**3 + 3*x**3 to g*x**2 + h*x**3 + f*x + k and give h. 12 Rearrange -p**2 - 32*p + 38 - 47 + 34*p to the form c*p + h + s*p**2 and give c. 2 Rearrange (12*a**2 + 11*a**2 - 9*a**2)*(a - 2*a - 2*a)*(4 + 7 - 4) to the form x*a + v*a**2 + d + p*a**3 and give p. -294 Rearrange 2*j - 2 - 19832*j**3 + 39648*j**3 + 2*j**2 - 19837*j**3 to i + d*j**2 + k*j + q*j**3 and give k. 2 Rearrange (-7 - 7 + 22)*((0*l**2 - 4*l**2 + 3*l**2)*(5 - 11 - 7) + l**2 - l**2 + l**2) to q*l**2 + c + u*l and give q. 112 Express (-1 - 27*q**2 + 11*q**2 - 7*q + 14*q**2)*(6*q**2 - 8*q**2 + 4*q**2) as h*q**2 + f*q + g*q**3 + u + p*q**4 and give h. -2 Rearrange 4615*r**3 - 4615*r**3 + 2*r**4 + (4*r**2 - 2*r**2 - 3*r**2)*(0*r**2 - 3*r**2 + r**2) to o*r**2 + h*r**4 + w*r + y + n*r**3 and give h. 4 Express 3*s**2 + 3*s**2 - 4*s**2 + (0 - s**2 + 0)*(-2 + 3 + 4) - 4*s + 8*s**2 - 2 + 15*s**2 + 6*s as m*s + h + j*s**2 and give m. 2 Rearrange (-u - u - u)*(-58 + 147 - 37 - 610*u - 52) to the form w*u**2 + c + o*u and give w. 1830 Express 4*k**3 - 1 + k**3 - 701*k**2 + 701*k**2 in the form h*k + b + s*k**3 + n*k**2 and give s. 5 Rearrange (0*q + 2*q + 2*q)*(85 - 48 - 37 + 547*q) to the form u*q + d + l*q**2 and give l. 2188 Rearrange (-137*f + 975 - 975)*(f**3 + 9*f**2 - 9*f**2) to the form c*f**3 + n*f**4 + o*f**2 + u*f + r and give r. 0 Rearrange 2*x - 4 - 9 - 16 - 15 + 7 to y + j*x and give y. -37 Express 70 - 25*c**4 + 13*c**2 - 11*c**2 + 27*c**4 in the form j*c**2 + n*c**3 + a*c + o*c**4 + h and give j. 2 Express 228*m - 88*m - 453*m in the form s + n*m and give n. -313 Express (2 - 2 + 2*p**2)*(-22*p - 10*p - 15*p) - p**3 - 5*p + 5*p in the form z*p + j*p**3 + n + i*p**2 and give j. -95 Rearrange -2*h - 19*h + 2*h**3 - h**3 + 12*h to x*h**3 + v + a*h + p*h**2 and give x. 1 Rearrange (4 + 1 + 0)*(1268 + 228*t - 57*t - 1269) to the form m*t + u and give m. 855 Express 906*v - 358 + 720 - 362 + 877*v in the form k*v + i and give k. 1783 Express 11*v + 63*v + 22*v + (2 - 1 + 0)*(0*v - 2*v - v) as b + j*v and give j. 93 Express -11806*w**3 - 11790*w**3 + 23531*w**3 - 3 as q*w + a*w**2 + h + g*w**3 and give g. -65 Rearrange 2*m**4 + 35*m**2 - 39*m**2 - 4*m**4 - 8 + 6 + m**3 to the form y*m**4 + r*m + t + w*m**2 + c*m**3 and give t. -2 Rearrange 9*h**2 + 2*h**2 - 4*h**2 + 0*h**2 + 0*h**2 - 3*h**2 + h**2 - 5*h**2 + h**2 + (-2*h + h - h)*(0*h - 2*h + 3*h) to c*h + u*h**2 + k and give u. -1 Rearrange -2*c**3 + 2 + 16*c**2 - 57*c**2 - 26*c**2 + c to the form v + q*c**3 + s*c**2 + o*c and give o. 1 Express ((4*m - m + 22*m)*(4 - 2 + 3) + (2 - 5 + 2)*(-2*m + 0*m + 3*m)*(-1 + 1 - 1))*(3 + 2*m - 3) as w*m + p + o*m**2 and give o. 252 Rearrange 3*o - 15*o + 0 + 4692*o**3 - 2 - 4696*o**3 to the form v*o**2 + g*o + d + f*o**3 and give f. -4 Express 16*u - 4*u - 8*u + 90 + 0*u - 7*u in the form m + h*u and give h. -3 Rearrange -2*m**2 + m + m + 0*m**2 + (-2 + 2 - 12*m)*(-10*m - 7*m - m) to the form t + k*m + a*m**2 and give k. 2 Express 6*r + 16 + 21 - 47 + 9 in the form p + i*r and give p. -1 Express 17*c + 20*c + c - 10*c as p + u*c and give p. 0 Express (69 - 60 - 176)*(3*w**4 - 4*w + 4*w) in the form d + s*w + n*w**4 + v*w**2 + p*w**3 and give n. -501 Express 19*k**2 + 0 + 1 - 16*k**3 - 46*k**2 + 3*k**4 + 28*k**2 as o*k**4 + c*k + z*k**2 + r*k**3 + l and give r. -16 Rearrange 21*y**2 + 28*y**2 + y**4 - 48*y**2 + 4*y**3 - 1 to m*y + h*y**2 + l*y**3 + z*y**4 + u and give z. 1 Rearrange 17*g**2 - 2 + 14*g**2 + 5*g**2 - 24*g**2 - 16 to z*g**2 + j*g + s and give z. 12 Rearrange 0 - 73*y**2 - 5 + 137*y**2 + 2 to the form z + t*y + s*y**2 and give s. 64 Rearrange (1014*d**3 - 220100*d + 220100*d)*((d + 2*d - 5*d)*(4 - 3 - 3) - 4*d + 3*d + 3*d) to q*d**3 + y*d**4 + j*d**2 + z + o*d and give y. 6084 Express -56 - 48*j**3 + 2*j**2 + 91*j**3 - 45*j**3 in the form z*j + b*j**3 + u + c*j**2 and give c. 2 Express (-2*h + 3*h + h)*(225*h**3 + 174*h**3 - 43*h**3) in the form c*h**2 + u*h**4 + m*h**3 + f*h + b and give u. 712 Rearrange -x + 14 + 6*x**2 + 5 - 26 to j*x + i + g*x**2 and give j. -1 Express -11*i - 96*i - 4*i in the form y*i + u and give y. -111 Rearrange -59*b**3 + 19*b - 50*b**3 - 52*b**3 + 0*b**2 - 3*b**2 + 165*b**3 to the form m*b**3 + u*b + j*b**2 + q and give j. -3 Express 193*z + 3 + 15 - 196*z as x*z + b and give b. 18 Express (4*w - w + 7*w)*(-132 + 69 - 170) in the form u + j*w and give j. -2330 Rearrange (-1 + u**2 + 1)*(-3 + 1 + 1) - 2*u**2 - 2*u**2 + 2*u**2 + (-3 + 3 + u)*(28*u + 74 - 74) to the form t + z*u + b*u**2 and give b. 25 Rearrange -11*u - 24 - 18 + 40 + (0*u + 3*u - u)*(-1 - 5 + 7) to the form m + z*u and give z. -9 Express 178*c - 61*c - 64*c as u*c + l and give u. 53 Rearrange -1 - 9*h**2 - 23*h**4 + 34*h**4 - 8*h + 9*h**2 to the form b*h**4 + f*h**3 + q*h**2 + a + x*h and give a. -1 Express (2424*r + 24*r**3 - 2424*r)*(-1 + 5 + r - 3) as x + z*r**4 + a*r**3 + k*r + q*r**2 and give a. 24 Express -4 + 1 - 14 + 17 + 426*g as l + r*g and give r. 426 Express 108*l**2 - 47*l**2 + l - 64*l**2 - 22 in the form z + m*l + v*l**2 and give
{ "pile_set_name": "DM Mathematics" }
ivative of 2176*l**3*r - 5*l**3 + 79*l**2*r - l**2 + 2*l*r - l + r - 916428 wrt l. 13056*l*r - 30*l + 158*r - 2 What is the second derivative of -k**2*r**3*y**2 + 705*k**2*r**3 - 119*k**2*r**2*y - 3*k**2*r*y - 6726939*k**2*y**2 + 178*r**3*y - 2*y wrt y? -2*k**2*r**3 - 13453878*k**2 What is the second derivative of -6764*d**2*z**2 + 10*d**2*z - 134*d**2 + 14*d*z + 5644106*z**2 wrt d? -13528*z**2 + 20*z - 268 Find the second derivative of -31727466*u*y*z**2 - 2*u*y - 7*u*z**2 + u*z - 22*u + 140616*y*z wrt z. -63454932*u*y - 14*u Find the second derivative of 54*d**3*p**2 + 3*d**3 - 2*d**2*p - 5063*d*p**4 + 12*d*p**2 + 17*d - 863*p wrt p. 108*d**3 - 60756*d*p**2 + 24*d What is the third derivative of 15689*w**3*z**2 - 268*w**3*z - 10*w**2 - 116928*w*z**2 wrt w? 94134*z**2 - 1608*z Find the third derivative of 10097*f**4 + 161*f**3 - 5794*f**2 - 28 wrt f. 242328*f + 966 Find the third derivative of 2*m*w**3 + 3066548*m*w**2 + 89490*w**3 wrt w. 12*m + 536940 Find the second derivative of -10476823*v**3 + 6*v**2 - 383046621*v. -62860938*v + 12 Find the second derivative of 70*l**4*u + 1814*l**3 - 115*l**2*u + 195920*l + 33*u wrt l. 840*l**2*u + 10884*l - 230*u What is the first derivative of 11562150*p**3 - 31152857? 34686450*p**2 Find the first derivative of -174250392*d + 112544348 wrt d. -174250392 Find the third derivative of -2*a**6*d + 6091573*a**3*d + 2*a**2*d + a**2 - 5*a*d - 353*a + 1178*d + 1 wrt a. -240*a**3*d + 36549438*d Find the third derivative of 243*p*y**4 + p*y**3 + 96029*p - 12996*y**3 - 39*y**2 wrt y. 5832*p*y + 6*p - 77976 What is the second derivative of -3*l**4 - 1915271*l**3 + 183778656*l? -36*l**2 - 11491626*l Find the first derivative of -55049797*z**3 - 7*z**2 + 677465468. -165149391*z**2 - 14*z Find the first derivative of -5606426*o + 11159840. -5606426 Find the second derivative of -2*g**4 + 51509595*g**2 - 44181*g - 18. -24*g**2 + 103019190 What is the derivative of 172010195*i**2 - 36356192? 344020390*i What is the third derivative of -105531*h**5 + 2*h**4 - 54*h**3 + h**2 + 2856*h + 702? -6331860*h**2 + 48*h - 324 What is the first derivative of -1662944*j - 18702513? -1662944 What is the third derivative of 2*c**3*n**3 + 2461*c**3*n**2 + 2*c**3*n + 9918713*c**2*n**4 + c**2 - 60*c*n**2 wrt n? 12*c**3 + 238049112*c**2*n What is the first derivative of 28*t**3 + 1255218*t - 419695774? 84*t**2 + 1255218 What is the second derivative of -653486754*l**2*t**3 - 395*l*t**3 - 98*l*t - 1536*l wrt l? -1306973508*t**3 Differentiate 187261993*p**3*t + 2*p*t**3 + 86343433*t**3 + 1 wrt p. 561785979*p**2*t + 2*t**3 Find the third derivative of -456437587*z**3 - 128971966*z**2 + z - 2 wrt z. -2738625522 What is the second derivative of -20*t**4 - 2962707*t**3 + 7*t - 42444366? -240*t**2 - 17776242*t Find the second derivative of 14446467*m**2 - 20490865*m. 28892934 Differentiate -18329468*t + 22330599. -18329468 What is the third derivative of 20*k*m**3*s**2*y + 3*k*m**2*s**2 - 11*k*m**2*s - 2*k*m*s**2*y + 3019815*m**3*s*y - 1116*m**2*y + 4*m*s**2*y + m*y wrt m? 120*k*s**2*y + 18118890*s*y Find the third derivative of 32451696*g**5 + 57*g**2 + 102710*g wrt g. 1947101760*g**2 Find the first derivative of -1251792*a**3*h*i**2 + 1162*a**3*i**2 + 127*a**3*i + 2*i wrt h. -1251792*a**3*i**2 What is the first derivative of -2252286*d + 3631505 wrt d? -2252286 What is the first derivative of -39361798*l**3 + 36563675 wrt l? -118085394*l**2 Differentiate -17*k*z**3 + 12*k*z - 978542*k - 34*z**2 - 3*z wrt z. -51*k*z**2 + 12*k - 68*z - 3 Differentiate 2*h**4 - 7766*h**3 + 264*h + 828867286. 8*h**3 - 23298*h**2 + 264 What is the second derivative of 685463*s**5*u + 5*s**2*u + 39*s*u - 801*s - 14*u - 2 wrt s? 13709260*s**3*u + 10*u Find the second derivative of b**3*w**2 - 20*b**2*w**3 - 29166*b**2 + 52556*b*w**3 + b - 2*w**3 wrt b. 6*b*w**2 - 40*w**3 - 58332 What is the second derivative of -22566567*d**2 - 19479*d + 316? -45133134 Find the second derivative of 6*p**3*s - 294*p**3 + 3636*p**2 + 1320437*p*s + 2*p - s + 1 wrt p. 36*p*s - 1764*p + 7272 Find the first derivative of -258*n*o*u - 11*n*o + 120*n*u + 4*n + 120046*o*u + 7*u wrt n. -258*o*u - 11*o + 120*u + 4 Find the second derivative of 3962969*a**3 + 2*a**2*z**2 + 2*a*z + 200*a + 34*z**2 - 5*z + 3 wrt a. 23777814*a + 4*z**2 What is the second derivative of 174168052*c**3 + 8*c - 15991408 wrt c? 1045008312*c Find the second derivative of -113055433*h**2 - 20842*h - 713 wrt h. -226110866 Differentiate -372*j**3*z + 360857*j**2*z - j*z - 435886362*z wrt j. -1116*j**2*z + 721714*j*z - z What is the third derivative of -2*c**6 + 75767*c**5 + 18*c**3 - 200*c**2 - 2*c + 340? -240*c**3 + 4546020*c**2 + 108 Find the second derivative of -1057622732*h**2 + 32253*h - 3070 wrt h. -2115245464 What is the third derivative of 178*m**3*s**3 - 12*m**3*s**2 + 5*m**3*s + m**3 - 77*m**2*s**2 - m**2*s + m**2 + 1394*s**3 wrt m? 1068*s**3 - 72*s**2 + 30*s + 6 What is the second derivative of -2*h**5*i - 10598553*h**2*i**3 - 7*h*i**3 + 24*h*i**2 + 548*h*i - 4*i**3 - 10*i**2 wrt h? -40*h**3*i - 21197106*i**3 What is the second derivative of -8843715*k**3 - 19*k**2 + 80061*k + 564? -53062290*k - 38 What is the second derivative of -54811212*h**2 - 381033*h - 38? -109622424 Find the second derivative of 1914212*b*n**2 + 26254147*b*n - 3*n**3 wrt n. 3828424*b - 18*n Find the third derivative of -253433928*w**3 + 187074*w**2 + 665*w wrt w. -1520603568 Find the first derivative of 1516573*u**2 + u + 33840936 wrt u. 3033146*u + 1 Differentiate 83136*z**2 + 7973527. 166272*z Find the third derivative of i**4*x + 1246*i**4 + i**3*x + 6672*i**3 + 18*i**2*x - 171*i**2 - 3*i*x - 88*i + 16*x wrt i. 24*i*x + 29904*i + 6*x + 40032 What is the second derivative of -96419521*w**3 - 73308577*w wrt w? -578517126*w Find the second derivative of -2935*i**5 - 4983*i**3 + 215*i + 53920 wrt i. -58700*i**3 - 29898*i Find the second derivative of 43951480*h**2 + 8231963*h. 87902960 Differentiate 1379*b**2*u + 983703103*b**2 - 418*b*u + 62*u with respect to u. 1379*b**2 - 418*b + 62 What is the first derivative of -5410*d**3 - 2*d**2 - 556*d - 27003925? -16230*d**2 - 4*d - 556 Differentiate 5089142*q**4 + 8692463 wrt q. 20356568*q**3 What is the derivative of -175921483*c + 220447720? -175921483 Find the first derivative of -6*y*z**3 - 495*y*z**2 + 286*y + 229*z - 34922 wrt z. -18*y*z**2 - 990*y*z + 229 What is the derivative of 927094*k**4 - 9*k**3 + 65007030 wrt k? 3708376*k**3 - 27*k**2 What is the second derivative of 3*m**2*t**3 + 11328541*m**2 + 103829*m*t**3 - 117*m*t**2 wrt m? 6*t**3 + 22657082 Find the second derivative of 1140982*x**3 + 13163729*x wrt x. 6845892*x Find the second derivative of 15281*q**3*z**3 - 13*q**3*z + 265*q**3 - 82*q**2*z**3 + 2*q**2*z - 2*q + 11 wrt z. 91686*q**3*z - 492*q**2*z Find the third derivative of 3*j*z**3 + j*z - 25*z**4 - 7242*z**3 - 14535457*z**2 wrt z. 18*j - 600*z - 43452 What is the second derivative of -5767*h**3 - 11487*h**2 - 62621373*h - 2? -34602*h - 22974 What is the derivative of 14*b*p*s + 4*b*p + 31*b*s - 18388*b + 4617*p*s + 74*p - 2*s wrt s? 14*b*p + 31*b + 4617*p - 2 Find the second derivative of 2*d**2*o**2*z**2 - 2*d**2*o**2 + d**2*o*z - 24379224*d*o**2*z**2 - 10*d*o**2 + 2*d*o*z + 62*d*z - 6*z wrt z. 4*d**2*o**2 - 48758448*d*o**2 Differentiate 15791711*k**3 - 8345492 with respect to k. 47375133*k**2 What is the third derivative of -320543280*s**5 - 2*s**2 + 319601*s + 57? -19232596800*s**2 What is the derivative of 2008161*l**3*t**2 - 14*l**3 + 3*l**2*t**2 + 486*l**2 + 2*l + 54 wrt t? 4016322*l**3*t + 6*l**2*t What is the derivative of 37609144*a**2*v**2 + 415516769*a**2 + 2*a*v**3 wrt v? 75218288*a**2*v + 6*a*v**2 What is the second derivative of 51396536*a**2 + 139*a + 44853 wrt a? 102793072 Find the third derivative of 1032118259*p**3 + 241492068*p**2. 6192709554 Find the second derivative of 6584239*m**2 + 3230*m + 3137 wrt m. 13168478 Find the second derivative of -38691*f**4 - 24*f**2 + 28*f - 387 wrt f. -464292*f**2 - 48 What is the second derivative of -19448276*i**3 + 4986860*i - 2 wrt i? -116689656*i Find the second derivative of -570892*v**4 + 11*v**2 + 24789*v - 420. -6850704*v**2 + 22 Differentiate 1995403*r**2 - 9883633 wrt r. 3990806*r Find the third de
{ "pile_set_name": "DM Mathematics" }
15*h**2 - 6*h. Let x be c(6). Suppose 50*m + x = a*m. What is the hundreds digit of m? 1 Suppose 2*v = d - 145, d - 142 = -4*v + 9*v. Let i = d - 35. What is the hundreds digit of i? 1 Let l(z) be the third derivative of 17*z**5/60 + 7*z**4/12 + 68*z**3/3 - 283*z**2. What is the hundreds digit of l(-6)? 6 Suppose 0 = -m - 250 + 2025. Suppose -5*y + m - 485 = 0. What is the hundreds digit of y? 2 Suppose -2*x + 2*a = -10466, -2*x + a + 1693 + 8767 = 0. What is the thousands digit of x? 5 Let r be (-1)/(12/4629*4/(-16)). Suppose -g - 300 = -r. What is the hundreds digit of g? 2 Let a = -172 - -173. What is the thousands digit of 2/a - (-1452 + -36)? 1 Let l(h) = h + 8. Let t(k) = -2*k - 15. Let x(u) = -13*l(u) - 6*t(u). Let y be x(12). What is the tens digit of 0 - 1 - (3 - -3)*y? 5 Let b = -10657 + 10800. What is the units digit of b? 3 Let i(z) = -2*z**2 + 637*z + 916. What is the hundreds digit of i(100)? 6 Suppose -2*c - 11*s + 12 = -6*s, -5*c + 2*s - 28 = 0. Let l(k) = -165*k - 32. What is the hundreds digit of l(c)? 6 Let r be 62*(0 + (-41)/(-2)). Let o = r - 439. What is the units digit of o? 2 Let f be ((-12)/(-9) - (-8)/(-6)) + 3. What is the hundreds digit of ((-225)/(-12))/(f/64)? 4 Let u be 2/(((-2)/(1 - -3))/(-3)). Let s be u/5 - 4/10. Suppose 0*h - 3*w = -s*h + 63, 0 = 4*h + 2*w - 166. What is the tens digit of h? 3 Let a = -243 - -362. Suppose a = -3*v - 2*b, -3*v + 4*b = 72 + 41. Let f = v - -142. What is the units digit of f? 3 Suppose -5*x + 5*t + 25860 = 0, 0 = -2*x + 5*t + 4625 + 5728. What is the units digit of x? 9 Suppose g - 23 - 526 = 0. Let f = -286 + g. What is the units digit of f? 3 Let d(r) = r**3 - 4*r**2 + 5*r - 4. Let i be d(3). Let t(v) = -22*v + 189. Let b be t(8). What is the tens digit of i/b - ((-1036)/26 + -6)? 4 Let j = 2323 + 2517. What is the units digit of j? 0 Suppose -9*g + 13*g = 3552. Suppose -g = -6*c - 0*c. Suppose 4*s + c = 6*s. What is the units digit of s? 4 Suppose -144*s + 1449044 - 157076 = 0. What is the units digit of s? 2 What is the hundreds digit of 2 - (-972772)/36 - (-9 + (-510)/(-54))? 0 Let r = 5000 - -6679. What is the hundreds digit of r? 6 What is the units digit of 194/(-291)*(0 + 3 + -7191)? 2 Suppose -71918 = -11*a + 291885. What is the ten thousands digit of a? 3 Let l = 5923 - -19619. What is the hundreds digit of l? 5 Let i = -713 - -951. Suppose 0 = 5*u - 10*u - 145. Let q = u + i. What is the units digit of q? 9 Suppose c + 4 = i, 11*c - 16 = -4*i + 12*c. Suppose 379 + 384 = r - i*s, -1533 = -2*r + s. What is the tens digit of r? 6 Let c(r) = 51*r**2 - 7*r - 2. Suppose 27 = v + 8*v. What is the hundreds digit of c(v)? 4 Let r(x) be the second derivative of x**5/60 - x**4/4 - 7*x**3/6 - 17*x**2/2 + 7*x. Let v(i) be the first derivative of r(i). What is the units digit of v(11)? 8 What is the units digit of 30/9*609 + (-5)/((-15)/3)? 1 Let c(k) = 42*k - 8. Suppose 9*q + 6*q = 0. Let u be (1 + q)*(21 + -17). What is the hundreds digit of c(u)? 1 Let l = -16621 - -25740. What is the tens digit of l? 1 Let h = -233 - -234. What is the units digit of 1/h + 0 - (42 - 221)? 0 Let d be (4*2/12)/(22/495). Suppose 0*i = -3*i + d. Suppose c = -i*c + 780. What is the units digit of c? 0 Let c = -44 + 36. What is the units digit of 28/(-4) - (-1874 - c)? 9 Let b(r) = 44*r + 72. Let f be b(11). Suppose -18*i + f = -17*i. What is the hundreds digit of i? 5 Let t be 3777/39 - (-6)/39. Suppose -1733 = -6*m + t. What is the tens digit of m? 0 Suppose 3*u = -f + 2, u + 26 = f + 4*f. Let i be 1/(-2) + 7*u/(-2). Suppose -i*c + 11 = 2, -4*g + 5*c + 21 = 0. What is the units digit of g? 9 Let v(g) = -g**2 - 4*g + 5. Let n be v(-5). Suppose n = -2*h + 33 - 115. Let y = 37 - h. What is the units digit of y? 8 Suppose -l + 3854 = 3*o, -3*o + 5*l + 3566 = -258. Let j = o - 858. What is the tens digit of j? 2 Suppose -2*m + 635 = 4*k - 6907, 0 = -k - 3*m + 1893. What is the hundreds digit of k? 8 Suppose y - z = 34778, -66*z = 4*y - 64*z - 139064. What is the ten thousands digit of y? 3 Let f(u) = 505*u + 8. Let q(t) = -1511*t - 24. Let b(x) = -7*f(x) - 2*q(x). What is the units digit of b(-1)? 5 Let c be (-2)/(-16) + 217/56 + 0. Suppose -c*v = -7*v + 5*r + 2881, -3*r = 15. What is the tens digit of v? 5 Let i(d) = d**2 + d - 1. Let j be i(0). Let y be j + ((-500)/4)/(-5). Let p = y + -20. What is the units digit of p? 4 Let x(g) = g**2 + 4*g - 14. Let t be x(-6). Let b be -4 + (t - -8 - 2). Suppose 2*f = 5*l - b*l + 35, 2*f - 26 = 2*l. What is the tens digit of f? 1 Let b(c) = -357*c - 19. Let q be b(-4). Suppose 3*p - q = 343. What is the hundreds digit of p? 5 Suppose 0 = 12*d - 1409 - 31. Let t be (-7848)/d*20/(-2). Suppose 0 = 6*q - 3*q - t. What is the tens digit of q? 1 Let z = 338 - -72. Let d = -6 + 6. Suppose 4*m - x - z + 78 = d, 0 = 3*m + 3*x - 234. What is the units digit of m? 2 Let p(o) = o**3 - 17*o**2 - 27*o + 79. Suppose -2*z + 2*c + 38 = 7*c, -76 = -4*z - 2*c. What is the units digit of p(z)? 8 Let m(q) = -55*q + 6. Let z be m(-4). Let b = 503 - z. What is the tens digit of b? 7 Let v = -4237 + 4370. What is the tens digit of v? 3 Let g = 11745 - -6190. What is the tens digit of g? 3 Let t(z) = 7*z**2 + 5*z - 10. Let y be -1*(-54)/(-5 - -3). Let d be ((-9)/y)/((-1)/(-12)). What is the tens digit of t(d)? 2 Let z(d) = 4*d - 22. Let r(q) = -1. Let a(m) = -12*r(m) - z(m). Let t(x) = -36*x + 366. Let l be t(10). What is the units digit of a(l)? 0 Let l(y) = 47*y**2 - 85*y + 857. What is the hundreds digit of l(15)? 1 Suppose 0 = 22*t - 26*t + 8. Let l be (-19240)/55 - t/(-44)*-4. Let w = -179 - l. What is the units digit of w? 1 Let w = 91275 - 60917. What is the hundreds digit of w? 3 Suppose 3*v + 2*z = 38801, -19*v - 2*z = -15*v - 51734. What is the thousands digit of v? 2 Suppose -230*w + 264*w = 337144. What is the units digit of w? 6 Suppose 950*g - 946*g - 8 = 0. Let m(s) = 156*s + 53. What is the units digit of m(g)? 5 Let q(d) be the third derivative of -d**6/40 + d**5/30 + d**4/24 - d**3 - 21*d**2. Let u be q(3). Let k = 56 - u. What is the units digit of k? 2 What is the thousands digit of (5103 - 1*-1)/(1350/(-60) + 23)? 0 Suppose -14068 = w - 3*w + q, 3*w - 21116 = 5*q. What is the thousands digit of w? 7 Let t be 3*(2176/24 + 6). Let g be 6 + -8 + (-196)/(-2). Let k = t - g. What is the hundreds digit of k? 1 Let s = -31 + 40. Suppose s*q = 8 + 10. Suppose -37 = -5*g + 4*w, 4*g - q*w - 1 = 5*g. What is the units digit of g? 5 Let x(y) = -3*y - 13. Let u be x(-7). Suppose -5*w = -w - u. Suppose 3*r + 271 = 3*n + n, w*r = 4*n - 270. What is the units digit of n? 7 Suppose -15*f + 217942 + 99383 = 0. What is the ten thousands digit of f? 2 Suppose -5*p + 0*p = u - 41, 0 = 2*p + 5*u + 2. Suppose -3*y = -0*y + p. Let r(q) = 10*q**2 - 4*q - 8. What is the units digit of r(y)? 4 Let u be -3 + (2 - -2) + 2953. Suppose -3*r - 4*t + u = 0, -5*r = 4*t - 3544 - 1382. What is the tens digit of r? 8 Let k(b) = 27*b**3 - 7*b**2 + 32*b - 11. What is the units digit of k(5)? 9 Let c be 185/10*-2 + (-2)/1. Let b = -34 - c. Suppose b*d - 202 = -3*m - 14, d + 304 = 5*m. What is the units digit of m? 1 Suppose 0 = -1102*t + 1101*t + 18497. What is the hundreds digit of t? 4 Suppose 4*r - 42054 = n + 28811, -n = 5*r - 88570. What is the hundreds digit of r? 7 Suppose 45125 = 3*x - u, -5*x + 30835 + 44378 = -4*u. What is the units digit of x? 1 Suppose -52*d - 88838 = -399902. What is the thousands digit of d? 5 Let h(s) = 3*s**2 - 3*s. Let c be h(2). Suppose -c = -2*k + y, k - y + 14 = 4*k. Suppose -10 = -k*z + 34. What is the tens digit of z? 1 Let a be (-165)/(-25) - (-2)/5. Let w be a/2*6*(-40)/(-84). Suppose 559 = -w*k + 2139. What is the units digit of k? 8 Let f = 267 - -170. Suppose -13*i - f + 5156 = 0. What is the units digit of i? 3 Suppose 5*k - 1885 = -3*a, -4*k - a + 1515 = -0*k. Let f = 607 - k. What is the hundreds digit of f? 2 Let r(n) = 23107*n + 271. What is the ten thousands digit of r(1)? 2 What is the thousands digit of 284406/10 - (144/(-30))/12*1? 8 Let z = 178 - 174. Suppose -o = -3*b - 215, 0*o - o = z*b - 180. What is the tens digit of o? 0 Let n = 233 + -181. Let o = n - -59. What is the hundreds digit of o? 1 Suppose -47*j + 42*j - 140 = 0. Let v = 19 + j. Let
{ "pile_set_name": "DM Mathematics" }
700 Let u = -46.2 - -48.9. Round u to 0 dps. 3 Let a = -373.9999072 + 374. What is a rounded to 5 dps? 0.00009 Let w = 501.99998362 + -502. Round w to seven decimal places. -0.0000164 Let l = 41.952 - 42. Let a = l - -0.04786. Round a to four decimal places. -0.0001 Let l = 235.62 + -240. What is l rounded to one decimal place? -4.4 Let s(t) = -25 - 15 + 4628*t**2 + 68 - t - 5. Suppose 44 = k + 3*k. Let x be s(k). Round x to the nearest 100000. 600000 Let k = 361.8 + -326. Let s = k - 33. Let y = 2.80000004 - s. What is y rounded to seven dps? 0 Let o(m) be the third derivative of 563*m**5/20 + 5*m**4/8 + 17*m**3/3 + 10*m**2. Let q be o(-18). What is q rounded to the nearest one hundred thousand? 500000 Suppose r + 3*y = -2*r + 12, 5*r = 5*y + 20. Suppose r*l = -h + l - 1390, -5*h - 2*l - 6950 = 0. What is h rounded to the nearest 100? -1400 Let c = 1579506 - 2844776. Let l = c + 695270. Round l to the nearest one hundred thousand. -600000 Let j = 43 + -41. Suppose 7380005 = 2*s - 5*d, -4*d + 2*d = j. Round s to the nearest one million. 4000000 Suppose 4*q + 14 = 2*w, 5 = 5*w - q - 12. Suppose -j + w*g + 421 = -17, -3*g + 6 = 0. Let v = j - 264. What is v rounded to the nearest 100? 200 Let g = 33605 - 33390.57. Let i = g + -214.61439. Let a = i + 0.183. What is a rounded to four dps? -0.0014 Let y = -7538.9968 - -7534. Let t = -7.379 - -2.379. Let l = t - y. What is l rounded to 3 decimal places? -0.003 Let b = -0.4257296 + 0.10573012. Let m = b - -0.32. Round m to 7 decimal places. 0.0000005 Let p = -14 - -22. Let j be 12*(20/p + -2). Suppose d = j*d + 35000. Round d to the nearest ten thousand. -10000 Suppose 24456 = -6*r + 10*r. Suppose -49814 + r = 10*d. What is d rounded to the nearest one hundred? -4400 Let i(d) be the third derivative of -d**4/8 - d**3/6 - 5*d**2. Let u be i(-1). Suppose -m + u = -1, 4*y + 3*m + 143 = 0. What is y rounded to the nearest ten? -40 Let n = -631 + 631.863. Round n to 2 decimal places. 0.86 Let k = 4273.1 + -5007. Round k to the nearest 10. -730 Let f = -0.16 + -0.25. Let y = 31.05 + -31. Let k = f - y. Round k to 1 dp. -0.5 Let l = 15867280 + -9517290. Suppose l = -5*a + 5*w, 0 = 18*a - 14*a + 4*w + 5080008. What is a rounded to the nearest 100000? -1300000 Let g = 7889 - 7888.3869. Round g to 1 decimal place. 0.6 Let d = 91.4 - 91.39279. Round d to 2 dps. 0.01 Let q(a) = 18*a**2 + 2*a - 1. Let c be q(1). Let k = c + -16. Suppose -k*g + g + 3*s = 6, 0 = -4*g + 2*s - 4. Round g to four decimal places. 0 Let o = -4.6119052 + 4.5339. Let s = 0.078 + o. What is s rounded to 6 decimal places? -0.000005 Let n = 25.4 + -23. Let l = -2.399953 + n. Round l to five dps. 0.00005 Let o = -0.4 - 4.6. Let a = o - -4.99951. What is a rounded to four dps? -0.0005 Let j(n) = n**2 + 5*n - 3. Let d be j(4). Let b be -2 - 0 - d*10606. What is b rounded to the nearest one hundred thousand? -400000 Let k = -9 + 17. Let n = k + -7.92. Let f = -0.07951 + n. Round f to four decimal places. 0.0005 Let m = 0.134 - 50.134. Let t = 49.9712 + m. What is t rounded to 3 dps? -0.029 Let z = 2 + -3. Let p = z + 1. Suppose 0 = 2*u - p*u + 1900000. Round u to the nearest 100000. -1000000 Let n be (-1250 + 0)/(-14 + (-35298800)/(-2521344)). Round n to the nearest 1000000. 197000000 Suppose 9*i = 10*i - 4. Let t(r) = 120*r**2 - 9*r - 4. Let w be t(i). What is w rounded to the nearest one thousand? 2000 Let m = -247.999999775 - -248. What is m rounded to 7 dps? 0.0000002 Suppose -162*j + 159*j = 15540. Round j to the nearest one hundred. -5200 Let l(w) = 2*w**2 - 16*w + 9. Let b be l(8). Let y(v) = -2*v**3 - 2*v**2 - 5*v + 15. Let i be y(b). Round i to the nearest one hundred. -1700 Let j = -7.03 + 7.0300788. What is j rounded to 5 dps? 0.00008 Let s = 0.309 + 0.041. Let a = 1.6 - s. What is a rounded to one dp? 1.3 Let q = 14.04 - 15.214. Let w = -1.1 - q. What is w rounded to two dps? 0.07 Suppose -5*d - 14 = -2*h + 4*h, 0 = 4*h - d - 16. Suppose 3*p - 6 = h. Suppose -p*q + 3600 = -0*q. Round q to the nearest 100. 1200 Let a = 59.061 + -59. Let y = a - 0.0595. Round y to three dps. 0.002 Let r = -0.52 + -0.07. Let g = 33.59 + r. Let l = g - 36.7. What is l rounded to 0 decimal places? -4 Let i = 0.066 - -0.224. Let m = i + -0.29026. What is m rounded to four dps? -0.0003 Let h(c) = 300*c**2 + 6*c + 40. Let z be h(10). Round z to the nearest one thousand. 30000 Let w = -6936678 + 3207137. Let m = 3729540.77000216 + w. Let t = m - -0.23. What is t rounded to seven dps? 0.0000022 Let s = 2404.543 + -2409. Let o = s + 4.9. Round o to 1 dp. 0.4 Let a = 0.53 - 0.32. Let v = a - 4.71. Let j = 4.4967 + v. Round j to 3 dps. -0.003 Suppose 0 = 6*w + 101538 + 4824828. Let y = w - -362061. Round y to the nearest 10000. -460000 Let j = -189.44022 - -155.4417. Let n = 34 + j. Round n to four dps. 0.0015 Suppose -3*f - 3654 = 2*f + 4*a, f + 714 = -5*a. Suppose -5*g + 2139 + 2874 = -3*w, 2*w - g = -3335. Let r = w + f. Round r to the nearest 100. -2400 Let d = -0.0084 + 0.00839954. Round d to 7 decimal places. -0.0000005 Let m = -0.091 + 0.0909709. Round m to six dps. -0.000029 Let n = 2.1 - 2. Let j = n - 1.8. Let b = 1.788 + j. What is b rounded to 2 dps? 0.09 Suppose -v = -6*v - 4300. What is v rounded to the nearest 10? -860 Let d = -2.47 + -62.93. Round d to the nearest 10. -70 Let x = 1693.55 - 1750. Let n = 59 + x. Round n to one dp. 2.6 Let g = -12.35 + 11.49. What is g rounded to the nearest 10? 0 Let f = -3 + 4. Let c be (123668/8)/(f/112). Let b = c + -1041352. Round b to the nearest 100000. 700000 Let d(p) = -51*p - 4. Let j be d(-3). Let o be -5 + j - (-2)/1. Suppose 0 = 3*a - a - o. Round a to the nearest 10. 70 Let i = -0.064 + -80.936. Let w = i - -80.99788. What is w rounded to 3 dps? -0.002 Let f = -2441368556 - -9518938048. Let q = f + -7077569188.0000127. Let d = -304 + q. Round d to six dps. -0.000013 Let k(w) = 200*w + 161. Let y be k(12). Round y to the nearest 1000. 3000 Let f = 0.31261437 - 0.3126. Round f to 6 dps. 0.000014 Let w = 2 + 0. Let q(s) = s**3 - 3*s. Let f be q(-1). Suppose -y - 199 = -f*k, -1 = -3*y + w. What is k rounded to the nearest 100? 100 Let x = -238.9073 - -238.8. Round x to 1 decimal place. -0.1 Let k(l) = 116239*l**2 - 3*l. Let v(r) = r**2 - r - 1. Let m(o) = k(o) + 2*v(o). Let p be m(-4). Suppose u + p - 59874 = 0. Round u to the nearest 1000000. -2000000 Let l(v) = -v**2 + 16. Let p be 0/((-4)/(-8)*4). Let h be l(p). Round h to the nearest ten. 20 Let l(u) = u - 1. Suppose 0 = 3*j - 0*s + s + 12, 0 = 5*s. Let w be l(j). Let o(h) = -13999*h + 5. Let p be o(w). Round p to the nearest 100000. 100000 Let y = 1.74 - 17.7. Let b = -0.04 + y. Let r = 16.00072 + b. Round r to four dps. 0.0007 Let j = -3273 - -3273.03154. Round j to two decimal places. 0.03 Let i = 0.024 + -1.044. Let w = 0.02 + i. Let o = w + 0.99975. Round o to 4 dps. -0.0003 Let r = 1721.01782 - 1721. What is r rounded to three dps? 0.018 Let a = -0.9009 + -1346.4991. What is a rounded to the nearest 100? -1300 Let o = 9.1 - 9.08245. What is o rounded to three dps? 0.018 Let c = -1.53953 + 1.567. What is c rounded to 2 decimal places? 0.03 Let b = 0.3 + 16. Let t = b + -16.29999802. Round t to seven decimal places. 0.000002 Suppose -28*b + 21546991 = i - 31*b, 0 = 3*i + 4*b - 64641012. Round i to the nearest 1000000. 22000000 Let m be (-204)/(-36) + 4/(-6). Suppose 3*v = -0*v + 2*j + 24, -3*j = m*v - 59. What is v rounded to the nearest one hundred? 0 Let o be 2 - (20/(-4))/1. Let r(v) = -82*v + 14*v - 89*v - o*v. Let c be r(-1). What is c rounded to the nearest ten? 160 Let o = -470 + 466.67. Let r = 69.93 + o. Round r to the nearest 10. 70 Let s = 0.58 - -46.42. Let c = -45.47 + s. Let m = c + -1.5300157. Round m to six dps. -0.000016 Let g = 23149 + -23159.643. Let y = -0.043 - g. What is y rounded to the nearest integer? 11 Let h = 2.31 + -2.207. Let i = h + -0.043. What is i rounded to 1 dp? 0.1 Let t = 264622.61943 - 264561. Let z = t - 62.9194165. Let k = 1.3 + z. Round k to 6 decimal places. 0.000014 Let c = -415.999999919 - -416. What is c rounded to 7 dps? 0.0000001 Let q = -63086 + 109996. Round q to the nearest one thousand. 47000 Let w = -9530879 + 9531069.99838. Let t = -191 + w. Round t to four decimal places. -0.0016 Let w =
{ "pile_set_name": "DM Mathematics" }
False Suppose 2*y + 0 - 6 = 0. Is 2013/3 - (y - (-4 - -9)) prime? True Let f be 74/8 + (-1)/4. Is (441 - 0) + -11 + f composite? False Let q = -46748 - -85279. Is q composite? True Let q = 3898 + -2210. Let b = q + -445. Is b a composite number? True Let n(r) = -3 + 3*r**2 - 3*r + 3 + 9. Let z(d) = 7*d**2 - 5*d + 19. Let w(k) = -9*n(k) + 4*z(k). Is w(9) a prime number? True Let h be (-3)/(-3) - -228*(-4)/2. Let k = -322 - h. Is k a prime number? False Let p(j) = j**3 - 6*j**2 + 36*j - 27. Is p(16) composite? False Suppose -4*g = -5*c + 2, -3*c - 2*c - 3*g = -16. Suppose 2*k - 5563 - 1755 = -4*h, 0 = -c*h. Is k prime? True Let m(v) = -314*v + 18. Let u(o) = o + 1. Let c(p) = m(p) + 4*u(p). Is c(-4) composite? True Let p(y) = -183*y - 45. Let h be p(-6). Suppose -3*n + 3*d + 3144 = 0, h = -0*n + n - 2*d. Is n prime? False Suppose 4*z - 1140 = -14928. Let i = 5203 + z. Suppose d + 3*d - i = 0. Is d composite? False Suppose -121 = 2*a - 0*a - 3*y, -5*a + 5*y - 290 = 0. Let h(r) = 49*r - 1. Let d be h(-3). Let u = a - d. Is u prime? False Let s(a) be the second derivative of -5*a**3/3 + 3*a**2/2 - 10*a. Is s(-2) a composite number? False Let c = 28 - -3793. Is c a prime number? True Let a(z) = 19*z**2 + 37*z - 137. Is a(9) prime? False Let k(v) = -v**3 + 8*v**2 - 7*v - 35. Let i be k(20). Is (-4)/12 + i/(-3) + -1 prime? True Suppose a = -6*a - 28. Is 1507 + (a/2 - -2) a composite number? True Suppose -167 = 3*s - 815. Suppose 0 = -5*k + 3*k + 3*d + s, 0 = d - 2. Is k a composite number? True Suppose -11*k + 8*k = -117. Let u = -57 + k. Is (-7674)/u - 2/(-3) composite? True Let c(m) = -3*m**2 - 5*m - 1. Let f(z) = 14*z**2 + 24*z + 6. Let t(n) = -11*c(n) - 2*f(n). Suppose 6*g - 9 = 4*g - 5*d, 3 = -3*d. Is t(g) a composite number? False Let i be -856 + (-1)/4*-4. Let o be i/(-18) - (-6)/4. Suppose -s + 2*s = o. Is s composite? True Let j(p) = -p**3 - 18*p**2 + 30*p + 63. Is j(-28) a prime number? False Suppose 4*z + 716 = 2*w, -5*w - 2*z - 475 = -2277. Let f = w - 205. Is f a prime number? False Let v = 124 + -119. Suppose h - 2268 = -v*x, x + 3*h = -h + 465. Is x a prime number? False Is (-2)/15 + (1654278738/(-315))/(-34) a prime number? False Is 24/(-42) - (-1228485)/35 composite? False Let i be 0/(-3 - 0) - (-1 - -334). Let j = i + 662. Is j composite? True Let y(b) = 5*b**3 - 2*b**2 - 3 - 7*b**3 - 2*b + 0*b**3. Is y(-3) a composite number? True Let j be (-58)/(-8) + (-10)/40. Is ((-3644)/(-6))/(j*(-10)/(-105)) a composite number? False Suppose 5*i = i + 2540. Suppose 2*d + 5*x = -229 + i, 0 = 5*d + 3*x - 1053. Suppose -4*v = -7*v + d. Is v a prime number? True Suppose 55*g + 56*g = 1531689. Is g a composite number? False Suppose 228*x - 233*x = -9695. Is x prime? False Let z(a) = 5*a**2 - 29*a - 25. Is z(22) a composite number? True Let a(j) = 286*j**2 - j + 3. Let s be a(-2). Suppose 0 = -b + 625 + s. Is b prime? False Let u(l) = -l**3 + 6*l - 6. Let s be u(5). Let c = s + 394. Is c composite? False Let w(u) = -u**3. Let k(g) = -3*g**3 - g**2 + 13*g - 8. Let y(c) = -k(c) + 2*w(c). Is y(9) a prime number? True Let z(r) = 4 - r - 2 + 3 + 77*r**2 + 4*r. Is z(-2) composite? False Let m be (-13)/(-4) - (0 - 3/(-12)). Is 2/m - (-5)/(30/17306) a composite number? True Suppose -5*g + 12965 = 3*m, 3*g = 14*m - 9*m - 21563. Is m a composite number? True Suppose 4*j - 26714 = -2*b, 0 = -124*b + 127*b + 3*j - 40077. Is b composite? True Let w(c) = -c**2 - 17*c - 17. Let r be w(-16). Let g be -12*(r - 15/(-20)). Is (g/2)/((-27)/(-954)) a composite number? False Let q(n) = -2 + 15 + n - 2. Let i be q(-6). Suppose j - 2*y = -5*y + 62, i*y + 113 = 2*j. Is j a composite number? False Let m(p) = -p**2 + p - 1. Let l(r) = -850*r**2 + 7*r + 2. Let o(a) = -l(a) + 6*m(a). Is o(-3) a composite number? False Let x be 36/16*(-48)/(-9). Let f = -12 + x. Suppose -2*k + 44 + 34 = f. Is k a composite number? True Let c = 268 + 741. Is c prime? True Suppose 4*w - 3051 - 14897 = 0. Is w a composite number? True Suppose -13*i + 12*i + 483 = 0. Suppose -f + 5*f - 338 = -2*g, -3*g + i = -2*f. Is g a composite number? False Suppose -s + 8 = s. Suppose -s*f + 7*f = 45. Let b = 134 + f. Is b prime? True Is -373*((0 - 56) + -11) prime? False Let g be 17756/6 - (-1)/(-3). Suppose 3*d + 6785 = -4*q, -q + 2*d - 968 - 742 = 0. Let b = q + g. Is b a composite number? False Suppose 17896 = -4*g + 5728. Let v be g/(-8) - 2/8. Let i = v + -201. Is i a composite number? False Let z(i) = 3*i + 148. Let m be z(0). Is m/(-12)*-1*3 a prime number? True Let x = 20943 - 14696. Is x composite? False Suppose -86073 = -11*y - 13594. Is y a prime number? False Let g = 33 - 28. Suppose 0 = -g*c + 6*c - 77. Is c composite? True Let l(k) = -17*k**3 + 3*k**2 - 5*k - 17. Suppose -5*x - 50 = -f + 6*f, -x = 5*f + 26. Is l(x) prime? True Let i(j) = -j**3 + 6*j**2 - 5*j - 3. Let x be i(4). Suppose 2*l = -1 + x. Suppose 913 + 123 = l*n. Is n a composite number? True Is (-265)/53 - 5/((-15)/170064) prime? False Suppose -z - 2498 = -j, -5*j + 4*z + 6107 = -6388. Is j prime? True Suppose o = -4*k + 15, 2*o + 0*o + 5*k - 21 = 0. Suppose 4*h = o*h. Suppose -3*f + 4*w = -139, h = f - 2*w + 25 - 68. Is f a composite number? False Let k(q) = -q**2 + 17*q - 22. Let v be k(15). Let o = v + -4. Suppose -o*u + 2255 = 179. Is u composite? True Let i = 14418 + -10291. Is i a composite number? False Suppose 24 = -o + 4*o. Let p be 4/(4/o - 0). Suppose -p = -5*y + 7. Is y composite? False Let s be -2 - 3280/((-20)/5). Suppose -3*r + s - 5588 = -3*j, r = 0. Let w = 3877 - j. Is w composite? False Let m = -1323 - -1915. Suppose 4*r - 720 = m. Suppose -2*y - 86 = -r. Is y prime? False Is 36657 - ((-2)/(-3))/(4/(-12)) a composite number? True Suppose 77548 = d + 5*y, 3*d + y = 28486 + 204088. Is d composite? True Let g(m) = 5*m**2 + 3*m + 2. Let x be g(-1). Suppose -4*l + 2*c + 1322 = 0, 0*l + 975 = 3*l + x*c. Is l prime? False Suppose 10*d + 17565 = 73375. Is d composite? False Let a be 6/(-9) - 2/3*-469. Let i = a + -21. Is i composite? True Suppose 0 = -2*a + w + 3404, -1748 = -3*a + 4*w + 3353. Is a a composite number? True Let f(z) = z**2 + 398. Let t be f(0). Let r = t + -1411. Let j = r - -1566. Is j prime? False Let b(q) = 52*q**2 - 9*q - 6. Is b(7) a composite number? True Let d be (0 - 0/3)/(-1). Suppose d*k + 318 = 2*k. Is k prime? False Let x be 340/(-2*2*4/(-32)). Let u = x + -151. Is u a composite number? True Let s(u) = -77*u**2 - 5*u + 7. Let x be s(5). Let r = 8292 + x. Is r prime? False Let t(g) be the first derivative of 293*g**2 + 19*g + 41. Is t(3) prime? True Suppose -2*a = 2*t + 3*t - 32720, -4*a = -4*t - 65496. Suppose 3*w + 7*w - a = 0. Is w a prime number? True Let k(t) = -t**3 - t**2 + t + 394. Let z(p) = -p**2 - 15*p + 16. Let y be z(-16). Is k(y) a prime number? False Let n(v) = -v**3 + 11*v**2 + v - 11. Let q be n(11). Suppose r + y + q*y = 1072, 3*r = 2*y + 3241. Is r a composite number? True Let a(n) be the first derivative of -n**7/120 - n**6/120 + n**5/40 - n**4/6 + 5*n**3/3 - 7. Let m(t) be the third derivative of a(t). Is m(-3) composite? False Let p(x) = x**2 + 12*x - 14. Let t be p(-13). Let o(d) = -650*d**3 - 2*d**2 - 2*d - 1. Is o(t) composite? True Suppose 5*g + 2 - 4 = -4*z, 0 = 5*z + g - 13. Let r be (z/(-12))/1*-4. Is r/4 - (-9388)/16 prime? True Let j(v) = 79*v + 42. Is j(25) composite? False Let y = 5673 - -1130. Is y prime? True Suppose -1062 = -5*i + 548. Suppose 2*w - 2*g = 722, 0 = -3*w - 4*g + i + 740. Is w composite? True Let n(o) = -2*o + 9. Let h = -52 + 44. Is n(h) prime? False Let l(t) = -2*t**2 - t + 2. Let s be l(2). Let v = -5 - s. Suppose 4*h + v*y - 83 = 0, 4*h - 3*y = 22 + 79. Is h a prime number? True Let r = 25 + -19. Suppose 0 = 5*b + 25, -4*v + r*v + 1 = -5*b. Suppose -105 + v = -3*k. Is k prime? True Let z be 8 + (2 - 6) - 1. Is 90 - (-1 + z/(-1)) a composite number? True Suppose 4*g + 8 = 16. Suppose g*a = 5*a + 537. Let m = 407 - a. Is m prime? False Is -3 + (-7)/1 + 3441 composite? True Suppose 0 = -3*r - 2*j + 2087, -2*r - j + 1403 = -2*j. Is r prime? False Let g(r) = -r**2 - 4*r - 7. Let z be g(-3). Is (-5 - -3)/z*14 a composite number? False Is (8/(-24))/(2/18) + 80 a prime number? False Suppose 4*o + 2*l + 3*l = 2074, 4*o - 2076 = -4*l. Suppose 3*x - v
{ "pile_set_name": "DM Mathematics" }
is the fourth smallest value in -40, 5, 69, -0.6? 69 Which is the biggest value? (a) 17 (b) 3/17 (c) -0.1 (d) -0.5 a What is the fourth biggest value in -2, 0.2, 3, -32, 9? -2 Which is the second biggest value? (a) -38099 (b) 1 (c) -19 c Which is the second smallest value? (a) -20.6 (b) 0.3 (c) -29 a Which is the second smallest value? (a) 1/127 (b) 31 (c) 0.01 c What is the fifth biggest value in 1.6, -4, 1, -0.3, 55, -8? -4 Which is the smallest value? (a) 1 (b) -11 (c) 2 (d) 1/13 (e) 3/4 (f) -5 b Which is the smallest value? (a) -1/3 (b) -5 (c) -5/11 (d) -2/13 (e) -4/7 b What is the third biggest value in 0.65, 2278, 3? 0.65 Which is the second biggest value? (a) 649 (b) -2 (c) -0.06 (d) 0.1 (e) -0.03 (f) 4 f Which is the second smallest value? (a) 11/4 (b) -6/17 (c) 0.2 c What is the smallest value in -3/8, -3/62, 282? -3/8 Which is the third smallest value? (a) 10 (b) -404 (c) 4/15 a Which is the third smallest value? (a) 26 (b) 0.1 (c) 83 (d) -4 (e) 2/13 e What is the third biggest value in 0, -0.3, 32, -0.15, -0.05? -0.05 What is the second smallest value in -0.2, 4, 5/4, -179084? -0.2 Which is the biggest value? (a) 1.57 (b) 1 (c) -1/3 (d) 0.1 (e) -0.4 a What is the second smallest value in -63, 0.14, -3, -3/2, 0.23? -3 What is the fifth biggest value in 230, -1, -4, -1/3, 6/5? -4 What is the second smallest value in 1/8, -0.4, 0.5, 0.22, 687, 0.07? 0.07 Which is the third smallest value? (a) -2 (b) 0.1 (c) 4 (d) 2/6057 (e) 2/9 (f) 14 b What is the third smallest value in -9, 3, 0.3, -1/6, -3/2? -1/6 Which is the third smallest value? (a) 4 (b) 17 (c) 0.5 (d) 2 (e) -1/7 (f) 176 d Which is the third biggest value? (a) -934 (b) 0.3 (c) -4/9 (d) 2/25 (e) -5/2 c Which is the second biggest value? (a) -0.01 (b) -3 (c) -6.146 b Which is the smallest value? (a) -25660 (b) -1 (c) -0.3 a Which is the second smallest value? (a) 3/11 (b) 0.3 (c) 9/14 (d) 0.143 a What is the fourth smallest value in -3081, 5, 4, -3, -0.4, -1? -0.4 What is the fourth biggest value in -2, -0.3, 2/19, -18936? -18936 Which is the smallest value? (a) 34.47 (b) -4/5 (c) 5 (d) 12/7 (e) -3 (f) -0.3 e Which is the second biggest value? (a) 2/13 (b) 8 (c) -193/591 a What is the second biggest value in -2, -668/19, -30, -1/9? -2 What is the second smallest value in -4, 0.911, 5? 0.911 Which is the fourth biggest value? (a) -0.2 (b) -0.1 (c) 205/2 (d) -4 d What is the biggest value in 71, 1/2, -0.001? 71 Which is the third smallest value? (a) -583 (b) -2/9 (c) 5/62 c Which is the smallest value? (a) -15 (b) -2/15 (c) -1/9 (d) 0.5 (e) 18 a What is the second biggest value in -2, 176.57, 1, -3/25? 1 What is the biggest value in -2, -21, -0.4, -31, -0.1? -0.1 Which is the second biggest value? (a) 0.06 (b) -5 (c) 0.9 (d) -1 (e) -0.1 a What is the smallest value in 6/163, 3/2, -3/4, -2, 1? -2 What is the third biggest value in 0.1, 2, 29, -4, 2/53, 9? 2 Which is the biggest value? (a) 1/3 (b) 1/4 (c) -5 (d) 2/15 (e) 2 (f) -12 e Which is the biggest value? (a) 2 (b) 2/3 (c) 1/6 (d) 203/90 (e) 0.4 d Which is the second smallest value? (a) 20930 (b) -4 (c) 3 c Which is the third smallest value? (a) 5 (b) 1/10 (c) 2 (d) -4/5 (e) 2.6 c Which is the smallest value? (a) 0.1 (b) -0.2 (c) -152900 c Which is the smallest value? (a) -12/25 (b) -41 (c) 1/7 b Which is the biggest value? (a) 5 (b) -6 (c) -109 (d) -4 (e) 11 e Which is the fourth smallest value? (a) 2/7 (b) 7 (c) 0.5 (d) 36 d What is the fourth biggest value in 1, 46, -0.1, 21, -4? -0.1 What is the third biggest value in 2/35, -2/3, -1, 0.02, -7/4? -2/3 Which is the fifth biggest value? (a) 7/3 (b) -0.3 (c) 0.4 (d) -3 (e) 19 (f) -4 d What is the third smallest value in -4, -0.19, 1/4, 0, 1/6? 0 What is the second biggest value in -2, -5, 3, 2, 770? 3 Which is the second biggest value? (a) -13830 (b) 1/9 (c) -0.3 c Which is the third smallest value? (a) -0.4 (b) 1 (c) 14944 (d) -1/5 (e) -1 d What is the third smallest value in -5/6, -1279, 1/5? 1/5 What is the second biggest value in -0.3, 37/5, 3, 50.5, -1? 37/5 Which is the third smallest value? (a) 3 (b) 0.5 (c) -441 (d) -51/10 b Which is the third biggest value? (a) -0.5 (b) -3 (c) -17 (d) 1836 b What is the smallest value in 396/5, -0.5, 4, 0.9, 3? -0.5 Which is the third smallest value? (a) -1/93 (b) -19 (c) 0.11 (d) 1/2 c What is the second biggest value in -145, 0.01, 45? 0.01 Which is the third biggest value? (a) -15/7 (b) 0.7 (c) 2 (d) 11 (e) 6 (f) -5 c Which is the smallest value? (a) -9 (b) 7 (c) -0.3 (d) 201 (e) -3 a What is the fifth smallest value in 2/25, 1.2, -5, 3.6, 2/9? 3.6 Which is the fourth biggest value? (a) -0.49 (b) 3 (c) -6 (d) 0.01 c Which is the second biggest value? (a) -5 (b) 1 (c) 4/3 (d) -3 (e) -97 b Which is the second smallest value? (a) -1 (b) -3 (c) -3/11 (d) 2 (e) -3/2 e What is the third biggest value in -2/19, -2/7, 6/7, -789? -2/7 Which is the fifth smallest value? (a) 1/6 (b) 1 (c) 1/8 (d) 2/13 (e) -1 b Which is the second smallest value? (a) -9 (b) -3/442 (c) -3 (d) -1.8 c What is the second smallest value in -8, -2/579, 1, 0.2, 0.5? -2/579 Which is the smallest value? (a) 0.1 (b) -0.2 (c) -2/7 (d) -3/5 (e) -10 (f) 1.162 e Which is the smallest value? (a) 340 (b) 1.8 (c) -3/4 (d) -4.6 d Which is the third smallest value? (a) -6 (b) 39/224 (c) 0.5 c Which is the second biggest value? (a) 13 (b) -192/5 (c) 3 c Which is the smallest value? (a) 2/693 (b) -24 (c) -3/2 b Which is the fourth biggest value? (a) 6 (b) -1 (c) 1/3 (d) -3 (e) 2 (f) -2/15 f What is the third biggest value in 0, -0.24, -0.8, -3, -1, -1/103? -0.24 What is the third biggest value in -12, -2/7, -1/11, 1.8? -2/7 What is the smallest value in -4, 1/10, -82? -82 Which is the third biggest value? (a) -4 (b) 160 (c) 2/9 (d) 0.2 (e) 2/3 c What is the second biggest value in 0.2, 1/14, 0.5, -1.052? 0.2 What is the second biggest value in -14, 2/41, 0.16, -0.1? 2/41 What is the third biggest value in 1, 11, 2, 4/7, 6? 2 Which is the sixth biggest value? (a) -0.5 (b) 3 (c) 31 (d) 1/10 (e) 1/3 (f) -1 f Which is the third smallest value? (a) -7 (b) 1/62050 (c) 3 (d) -1/2 b Which is the fourth biggest value? (a) 2/29 (b) -0.5 (c) -1/7 (d) -0.4 (e) 26 d What is the second biggest value in -7.2, 8, -1.2, 2, 1, 4? 4 What is the second smallest value in 0.1, 3/7, -0.1, -2/5, -2, 289? -2/5 What is the smallest value in -2/5, -2, -1/97822? -2 Which is the third biggest value? (a) -0.2 (b) 5 (c) -57556 c What is the fifth smallest value in 8/3, 0.2, -3, -1838, 1/2, -0.4? 1/2 What is the fourth smallest value in -34592, 3/4, 1/16, 0.3? 3/4 What is the second biggest value in -181/2, 11, 3? 3 What is the third smallest value in -39, 96, 17, 4? 17 What is the fifth biggest value in -2/9, 412, -2, -1, -1/5? -2 What is the third biggest value in -1089, -1, -3, 2/11, 5? -1 What is the second smallest value in 4/3, 189, -984? 4/3 Which is the third biggest value? (a) -0.3 (b) 16 (c) -19 (d) 5/4 (e) 0.11 (f) 5 d What is the third biggest value in -6, 15/8, 6/7, -1/14? -1/14 Which is the third biggest value? (a) -780 (b) 0.3 (c) 0.4 (d) -0.3 (e) -0.1 e Which is the smallest value? (a) 2/17 (b) -1/3 (c) -0.1139 (d) -0.2 b What is the second biggest value in 4, -1113, -1/6, -1/8? -1/8 What is the third smallest value in -88, 3, -4/17, -2/5? -4/17 What is the third smallest value in -50, -15/8, 3, 1/4? 1/4 What is the second smallest value in -1.2348, -6/5, -0.5? -6/5 What is the fourth biggest value in -82, -0.5, -2, -16? -82 Which is the biggest value? (a) 24 (b) 2/43 (c) -1/4 a What is the fourth biggest value in -227/3, 40, -4, -0.1? -227/3 What is the fourth smallest value in 2/7, 2, -7.07, -4? 2 What is the sixth biggest value in -2, 0.3, 5, -22.3, 7/3, -3/7? -22.3 What is the biggest value in -2, 17, -1/2, -0.12, -8/47? 17 What is the third biggest value in -337, 6417, 5? -337 What is the second biggest value in -0.8, -480, 0.5? -0.8 Which is the second biggest value? (a) 2/63 (b) 12 (c) -3 a Which is the smallest value? (a) -2/3
{ "pile_set_name": "DM Mathematics" }
ter 10:58 PM? 3:56 AM How many minutes are there between 2:53 PM and 5:25 PM? 152 How many minutes are there between 7:27 PM and 7:54 PM? 27 How many minutes are there between 9:10 AM and 4:36 PM? 446 What is 52 minutes before 11:38 AM? 10:46 AM What is 706 minutes before 11:12 PM? 11:26 AM What is 421 minutes before 1:10 PM? 6:09 AM How many minutes are there between 5:54 PM and 1:27 AM? 453 How many minutes are there between 6:40 PM and 8:02 PM? 82 How many minutes are there between 9:58 AM and 11:27 AM? 89 How many minutes are there between 9:39 PM and 10:56 PM? 77 What is 110 minutes before 2:49 AM? 12:59 AM What is 246 minutes before 9:26 PM? 5:20 PM What is 376 minutes before 11:34 AM? 5:18 AM What is 35 minutes before 2:54 PM? 2:19 PM What is 457 minutes before 1:48 PM? 6:11 AM How many minutes are there between 3:32 AM and 1:08 PM? 576 What is 171 minutes after 9:03 PM? 11:54 PM How many minutes are there between 3:04 AM and 2:14 PM? 670 What is 628 minutes before 4:57 PM? 6:29 AM What is 354 minutes before 5:59 PM? 12:05 PM What is 137 minutes before 8:24 AM? 6:07 AM What is 36 minutes before 1:10 PM? 12:34 PM What is 156 minutes after 5:12 AM? 7:48 AM What is 586 minutes before 10:56 AM? 1:10 AM What is 457 minutes before 12:38 PM? 5:01 AM How many minutes are there between 4:49 AM and 10:10 AM? 321 How many minutes are there between 7:55 PM and 8:30 PM? 35 What is 708 minutes after 1:52 PM? 1:40 AM How many minutes are there between 11:23 AM and 7:02 PM? 459 What is 468 minutes after 1:35 AM? 9:23 AM How many minutes are there between 3:02 AM and 2:09 PM? 667 How many minutes are there between 12:25 AM and 7:35 AM? 430 What is 699 minutes before 7:39 AM? 8:00 PM How many minutes are there between 5:08 AM and 3:38 PM? 630 What is 463 minutes after 3:38 PM? 11:21 PM What is 175 minutes before 6:33 AM? 3:38 AM What is 252 minutes after 5:05 PM? 9:17 PM What is 154 minutes after 3:03 AM? 5:37 AM What is 104 minutes before 10:14 PM? 8:30 PM How many minutes are there between 4:18 AM and 8:21 AM? 243 How many minutes are there between 4:43 PM and 6:49 PM? 126 How many minutes are there between 7:45 PM and 6:42 AM? 657 How many minutes are there between 1:15 PM and 8:52 PM? 457 How many minutes are there between 9:23 PM and 12:09 AM? 166 What is 354 minutes before 8:46 PM? 2:52 PM What is 305 minutes after 7:31 AM? 12:36 PM What is 165 minutes after 12:03 AM? 2:48 AM How many minutes are there between 6:08 PM and 2:21 AM? 493 How many minutes are there between 2:29 PM and 8:10 PM? 341 What is 260 minutes after 3:30 AM? 7:50 AM How many minutes are there between 7:11 AM and 1:36 PM? 385 How many minutes are there between 3:36 AM and 9:04 AM? 328 How many minutes are there between 5:18 PM and 12:54 AM? 456 How many minutes are there between 9:19 AM and 11:09 AM? 110 How many minutes are there between 12:35 PM and 2:11 PM? 96 What is 126 minutes after 11:42 AM? 1:48 PM How many minutes are there between 6:52 AM and 6:35 PM? 703 How many minutes are there between 9:27 PM and 4:07 AM? 400 What is 353 minutes before 3:48 AM? 9:55 PM How many minutes are there between 1:26 AM and 3:41 AM? 135 How many minutes are there between 8:30 AM and 7:59 PM? 689 How many minutes are there between 11:30 PM and 8:49 AM? 559 What is 123 minutes before 7:49 AM? 5:46 AM How many minutes are there between 8:26 AM and 12:38 PM? 252 What is 35 minutes after 12:09 AM? 12:44 AM What is 655 minutes before 8:12 PM? 9:17 AM How many minutes are there between 1:24 PM and 7:30 PM? 366 What is 581 minutes after 4:03 PM? 1:44 AM What is 591 minutes after 8:25 AM? 6:16 PM How many minutes are there between 2:00 AM and 4:12 AM? 132 How many minutes are there between 4:30 PM and 9:40 PM? 310 How many minutes are there between 11:54 PM and 9:14 AM? 560 What is 127 minutes before 9:42 AM? 7:35 AM How many minutes are there between 11:20 PM and 1:58 AM? 158 What is 491 minutes after 12:00 PM? 8:11 PM What is 264 minutes after 10:02 PM? 2:26 AM What is 289 minutes after 4:13 AM? 9:02 AM How many minutes are there between 8:44 AM and 7:25 PM? 641 How many minutes are there between 11:09 PM and 4:36 AM? 327 What is 677 minutes before 2:22 PM? 3:05 AM How many minutes are there between 3:24 AM and 3:07 PM? 703 How many minutes are there between 3:59 AM and 6:09 AM? 130 How many minutes are there between 9:58 AM and 3:08 PM? 310 What is 564 minutes before 12:51 PM? 3:27 AM How many minutes are there between 5:06 PM and 10:29 PM? 323 How many minutes are there between 9:42 AM and 1:19 PM? 217 What is 49 minutes after 7:21 AM? 8:10 AM What is 525 minutes before 12:21 PM? 3:36 AM How many minutes are there between 7:06 AM and 8:53 AM? 107 How many minutes are there between 10:31 AM and 3:52 PM? 321 What is 405 minutes after 3:53 PM? 10:38 PM What is 488 minutes before 12:56 AM? 4:48 PM What is 266 minutes after 3:38 AM? 8:04 AM How many minutes are there between 7:35 PM and 5:59 AM? 624 What is 337 minutes before 4:12 AM? 10:35 PM What is 60 minutes after 4:47 AM? 5:47 AM How many minutes are there between 3:13 AM and 6:30 AM? 197 How many minutes are there between 5:01 PM and 12:09 AM? 428 How many minutes are there between 4:57 PM and 5:59 PM? 62 What is 710 minutes before 1:36 AM? 1:46 PM What is 139 minutes before 5:17 PM? 2:58 PM How many minutes are there between 10:30 AM and 1:26 PM? 176 What is 103 minutes before 3:12 PM? 1:29 PM How many minutes are there between 11:01 AM and 4:19 PM? 318 What is 277 minutes after 5:32 AM? 10:09 AM What is 428 minutes before 10:34 PM? 3:26 PM What is 305 minutes after 2:06 AM? 7:11 AM What is 663 minutes after 5:13 PM? 4:16 AM How many minutes are there between 12:38 AM and 3:39 AM? 181 How many minutes are there between 7:10 PM and 4:17 AM? 547 How many minutes are there between 5:28 AM and 8:33 AM? 185 How many minutes are there between 1:27 AM and 11:26 AM? 599 What is 443 minutes after 6:53 AM? 2:16 PM How many minutes are there between 11:36 PM and 1:44 AM? 128 How many minutes are there between 8:31 AM and 11:26 AM? 175 How many minutes are there between 8:29 PM and 4:21 AM? 472 What is 439 minutes after 5:32 AM? 12:51 PM What is 117 minutes before 3:37 AM? 1:40 AM What is 692 minutes before 10:24 PM? 10:52 AM What is 56 minutes after 11:21 PM? 12:17 AM What is 11 minutes after 8:29 PM? 8:40 PM What is 103 minutes after 7:58 AM? 9:41 AM How many minutes are there between 12:39 AM and 4:03 AM? 204 How many minutes are there between 9:08 PM and 4:31 AM? 443 How many minutes are there between 2:48 PM and 7:41 PM? 293 What is 709 minutes before 3:04 AM? 3:15 PM What is 678 minutes after 11:46 PM? 11:04 AM How many minutes are there between 11:13 PM and 12:30 AM? 77 What is 367 minutes before 4:31 PM? 10:24 AM What is 6 minutes before 11:17 AM? 11:11 AM What is 502 minutes before 10:00 PM? 1:38 PM How many minutes are there between 12:16 AM and 8:26 AM? 490 How many minutes are there between 6:39 AM and 5:18 PM? 639 What is 559 minutes before 10:20 PM? 1:01 PM How many minutes are there between 8:44 PM and 7:47 AM? 663 What is 91 minutes after 1:15 PM? 2:46 PM What is 279 minutes before 1:01 PM? 8:22 AM How many minutes are there between 7:18 PM and 3:29 AM? 491 What is 573 minutes before 9:27 AM? 11:54 PM What is 223 minutes before 3:09 AM? 11:26 PM How many minutes are there between 6:01 AM and 5:50 PM? 709 What is 504 minutes after 12:07 PM? 8:31 PM What is 264 minutes after 11:59 PM? 4:23 AM How many minutes are there between 4:00 PM and 2:46 AM? 646 What is 588 minutes before 7:41 AM? 9:53 PM What is 388 minutes after 8:29 PM? 2:57 AM What is 663 minutes before 12:25 PM? 1:22 AM What is 424 minutes after 11:18 PM? 6:22 AM How many minutes are there between 4:33 AM and 6:54 AM? 141 What is 453 minutes after 11:59 AM? 7:32 PM How many minutes are there between 1:41 PM and 1:06 AM? 685 How many minutes are there between 10:37 AM and 3:58 PM? 321 What is 624 minutes before 2:30 AM? 4:06 PM What is 344 minutes before 8:29 AM? 2:45 AM How many minutes are there between 4:23 PM and 6:33 PM? 130 What is 332 minutes before 1:51 AM? 8:19 PM What is 416 minutes after 8:09 PM? 3:05 AM What is 104 minutes before 5:42 PM? 3:58 PM How many minutes a
{ "pile_set_name": "DM Mathematics" }
) = 4 - 4 + z + 21*z**2 + 16*z**2. Calculate x(u(l)). 333*l**4 - 3*l**2 Let k(n) = -n**2 - 15*n + 2. Let m(t) = 54*t**2 + 675*t - 90. Let r(l) = 135*k(l) + 3*m(l). Let q(p) be the first derivative of -p**3 - 1. Give q(r(c)). -2187*c**4 Let m(n) = 20*n - 88. Let o(v) = -13*v + 55. Let g(z) = -5*m(z) - 8*o(z). Let p(c) = 37*c. Give p(g(d)). 148*d Let x(k) = 4944*k. Let z(m) = -m**2 - 936. What is z(x(p))? -24443136*p**2 - 936 Let z(k) = -22*k - 1. Let v(o) = -57797*o**2. Determine z(v(l)). 1271534*l**2 - 1 Suppose 431*a - 436*a = 0. Let b(d) be the third derivative of 0*d + 0 + d**2 + a*d**3 + 1/4*d**4. Let m(q) = 4*q**2. Give m(b(n)). 144*n**2 Let r(a) = 13*a + 81. Let q(u) = -30*u**2 - 34*u + 136. Let h(k) = 8*k**2 + 9*k - 36. Let c(j) = 34*h(j) + 9*q(j). Determine r(c(x)). 26*x**2 + 81 Let h(z) = 2582*z + 2597*z - 5188*z. Let n(i) = -656*i**2. Determine n(h(q)). -53136*q**2 Let y(a) = 35*a + 581523. Let t(m) = m. Determine y(t(u)). 35*u + 581523 Let y(o) = 3*o**2 + 249. Let k(i) = 12319*i**2 - 24637*i**2 + 12319*i**2. What is k(y(c))? 9*c**4 + 1494*c**2 + 62001 Let z(u) = -67*u**2. Let y(v) be the third derivative of v**6/720 + 4*v**4 - 70*v**2 - 1. Let o(d) be the second derivative of y(d). Calculate z(o(j)). -67*j**2 Let s(l) = -4912*l. Let c(n) = 73*n**2 - 407*n. Give s(c(a)). -358576*a**2 + 1999184*a Let n(q) = 3*q**2. Let m(a) be the first derivative of 2/3*a**3 + 0*a**2 - a - 149. What is n(m(s))? 12*s**4 - 12*s**2 + 3 Let t(a) = -2804*a**2. Let f(q) = 1505*q. What is t(f(y))? -6351130100*y**2 Let f(l) = -12*l**2 - 6853. Let h(d) = 546*d**2. Give f(h(a)). -3577392*a**4 - 6853 Let z(a) be the first derivative of -13*a**3 - a**2 + 727. Let h(o) = -37*o - 1. Determine z(h(g)). -53391*g**2 - 2812*g - 37 Let i(u) = -729*u - 196*u + 472*u - 506*u. Let b(q) = -q. Determine i(b(p)). 959*p Let b(s) be the third derivative of s**4/24 - 3*s**2. Let h be 40*(-2 + 20/8). Let y(m) = -26*m - h*m - 15*m + 68*m. What is y(b(n))? 7*n Let w(n) = -25*n**2 + 120*n - 30. Let p(q) = q**2 - 4*q + 1. Let d(r) = 30*p(r) + w(r). Let g(t) = 197*t. Give d(g(y)). 194045*y**2 Let h(m) = -29*m**2. Let x(z) = 3*z**2. Let f(u) = -105*u**2 + 213*u**2 - 107*u**2. Let w be ((-8)/(-2))/(3 - 4). Let c(y) = w*x(y) + 10*f(y). What is h(c(o))? -116*o**4 Let y(u) = -9*u - 69. Let p(t) = -47*t - 48*t - 41*t + 187*t - 38*t. Give y(p(q)). -117*q - 69 Let f(r) = 5*r**2. Let h(j) = -84697751*j**2. Calculate h(f(y)). -2117443775*y**4 Let n(w) = w - 28. Let v(p) = -669 - p - 666 + 1335. Determine v(n(c)). -c + 28 Let c(k) be the third derivative of -19*k**4/24 - 13*k**3/6 + 10*k**2 + 78*k. Let n(g) = -5*g. Calculate n(c(o)). 95*o + 65 Let b(k) = -67*k. Let s(m) = 2*m**2 - 15433*m. Calculate s(b(q)). 8978*q**2 + 1034011*q Suppose 56*y - 8 = 52*y. Let p(r) = -96 + 96 + 13*r**y. Let n(k) = -k**2. What is p(n(x))? 13*x**4 Let h(b) be the first derivative of 3*b**2 + 15. Let c(o) = -14. Let l(r) = 7*r - 154. Let g(x) = -66*c(x) + 6*l(x). Give g(h(w)). 252*w Let y(w) = 24007846*w. Let m(u) = -u**2. What is y(m(h))? -24007846*h**2 Let b(d) = 63*d**2. Let p(w) = 14*w - 8864. What is p(b(r))? 882*r**2 - 8864 Let g(j) = -2171*j. Let m(t) = -21*t**2 + 2365. Calculate m(g(r)). -98978061*r**2 + 2365 Let d(a) = -2*a**2. Let v(x) = 136*x - 31. Let m(c) = -64*c + 14. Let q(u) = -7*m(u) - 3*v(u). Give d(q(j)). -3200*j**2 + 800*j - 50 Let y(x) = -x - 16. Let a(d) = -97*d + 291*d - 100*d + 14*d**2 - 94*d. Determine y(a(h)). -14*h**2 - 16 Let b(y) = 1755*y - 2. Let s(u) be the third derivative of u**5/30 - 3*u**2 - 872*u. Calculate s(b(l)). 6160050*l**2 - 14040*l + 8 Let o(u) be the third derivative of u**4/24 + 14*u**2 + 1. Let b(s) = 1087*s. What is o(b(l))? 1087*l Let d(s) = 14*s + 13. Let v(k) = -10*k - 19. Let t(c) = -3*d(c) - 2*v(c). Let b(l) = -1. Let j(q) = 5*q**2 + 2. Let f(w) = -2*b(w) - j(w). Calculate f(t(i)). -2420*i**2 - 220*i - 5 Let p(c) be the first derivative of c**4/2 - 7*c - 3. Let o(j) be the first derivative of p(j). Let w(v) = 4*v**2 - 4*v - 2*v + 6*v. What is o(w(t))? 96*t**4 Let u(f) = 2*f + 0*f**2 - 28*f + 2*f**2 + 26*f. Let y(n) = 8*n**2 - 2. Calculate y(u(c)). 32*c**4 - 2 Let u(b) = -b. Let j(f) = 2716*f**2 + 242*f**2 + 128*f**2 + 268*f**2. Determine j(u(v)). 3354*v**2 Suppose -11*h = -17*h + 12. Let x(c) = -24*c**h + 54*c**2 - 31*c**2. Let p(o) = -5*o. Determine x(p(f)). -25*f**2 Let a(y) = -5*y - y + 7*y + 4*y. Let k(q) be the second derivative of -q**4/8 - 37*q**2/2 + 43*q. Let i(t) be the first derivative of k(t). Give i(a(g)). -15*g Let q(o) = -3447935*o. Let p(f) = -8*f. Calculate q(p(t)). 27583480*t Let r(a) = 265*a**2. Let l(n) be the second derivative of -n**4/6 + 41*n - 1. What is l(r(s))? -140450*s**4 Let a(d) be the first derivative of -2*d**2 - 2184. Let q(k) = -27*k - 7. Determine q(a(h)). 108*h - 7 Let l(w) = 12*w**2 + w - 1. Let k(v) = 12*v + 13. Determine l(k(s)). 1728*s**2 + 3756*s + 2040 Let r(h) = -12 - 6*h**2 + 12. Let j = 417 + 104. Let y(c) = -j*c + 521*c + c**2. What is r(y(k))? -6*k**4 Let o(j) = -228*j. Let q(x) be the first derivative of -2*x**3/3 - 467. Give o(q(y)). 456*y**2 Let a(m) = 1590*m - 7. Let l(g) = 1653*g - 9. Let b(v) = -4*a(v) + 3*l(v). Let f(r) = r. What is b(f(z))? -1401*z + 1 Let m(z) = 209*z. Let f(t) = -t**2 - 87113. Calculate m(f(b)). -209*b**2 - 18206617 Let t(m) = m. Let o(n) = -2*n - 25895677. Determine t(o(x)). -2*x - 25895677 Let l(a) be the third derivative of -a**5/15 - a**4/3 + 3*a**2 + 83*a. Let i(q) = 2*q**2. Let h(g) = g**2. Let r(m) = -13*h(m) + 6*i(m). Determine r(l(o)). -16*o**4 - 64*o**3 - 64*o**2 Let p(k) = 10796*k. Let i(w) be the third derivative of w**4/12 + 2315*w**2. Calculate p(i(y)). 21592*y Let h(u) = u**2. Suppose -184*j + 186*j - 20 = 0. Let y(k) = -15*k**2 + j*k - 26*k + 16*k - 7*k**2. Determine h(y(c)). 484*c**4 Suppose -8876 + 2896 = -52*a. Let u(n) = 106*n + a*n - 208*n. Let k(g) be the first derivative of g**3 - 1. Give k(u(o)). 507*o**2 Let t(s) be the third derivative of s**5/30 + 149*s**2 - 5. Let r(f) = -4*f**2 - f**2 - f**2. What is t(r(h))? 72*h**4 Let a(g) = -34*g. Let i(z) be the third derivative of z**4/24 + 3*z**3 + 194*z**2 - 24*z. Determine i(a(h)). -34*h + 18 Let q(v) = v**2 + 30. Let t(h) = -2*h - 1750749 + 1750749. Give t(q(b)). -2*b**2 - 60 Let a(w) = -64*w**2 - 30*w - 6. Let u(j) = 704*j**2 + 320*j + 64. Let o(n) = -32*a(n) - 3*u(n). Let y(b) = -7*b. Give o(y(m)). -3136*m**2 Let r(k) = -21158822*k. Let h(t) = -t. Give r(h(x)). 21158822*x Let r be (0 - -3)/((-12)/(-368)). Let m(t) = -99*t - r*t + 203*t. Let w(f) = 3*f. Give m(w(d)). 36*d Let v(z) = 90*z**2 - 33*z**2 + 71*z**2 + 107*z**2 - 27*z**2. Let r(x) = -x. Determine v(r(c)). 208*c**2 Let s(t) = -12*t**2. Let i(p) = -615*p + 4. Let n(m) = 666044*m - 4333. Let y(d) = -4333*i(d) - 4*n(d). Give y(s(z)). -7428*z**2 Let p(u) be the first derivative of u**2 - 1. Let y = 31 - 29. Let n(a) = -18*a**2 + a**2 + 11*a**y + 19*a**2. Give p(n(t)). 26*t**2 Let s(d) = -d - 34 + 107 - 31 - 40. Let h(n) = 8*n**2. What is h(s(w))? 8*w**2 - 32*w + 32 Let w(t) = -2*t**2. Let l(v) = -48*v - 12. Let c(p) be the first derivative of 25*p**2/2 + 6*p - 10. Let m(r) = 9*c(r) + 4*l(r). Calculate m(w(h)). -66*h**2 + 6 Let g be 2*((-6)/4)/((-6)/4). Let m(q) = -g*q - q + 3*q - 2*q. Let h(j) = 10269 - 10269 + 18*j. Give m(h(z)). -36*z Let h(b) be the third derivative of 11*b**4/24 - b**3/6 - 1478*b**2. Let y(x) = 17*x**2. Calculate y(h(w)). 2057*w**2 - 374*w + 17 Let f(v) = 48*v**2. Let i(j) = -j - 6. Let p be i(-14). Let d be (-2)/8 + p/32. Let k(h) = 5*h + d*h + h - 4*h. Calculate f(k(t)). 192*t**2 Let d be 15/2*(-108)/(-135). Let a be 10616/40 - d/15. Let h(f) = -f**2 - a*f + 265*f. Let l(x) = -5*x. What is l(h(u))? 5*u**2 Let p = -26 - -30. Let y(q) = q + 4 - 8 + p. Let h(d) = -d + 18. Give y(h(i)). -i + 18 Let l(a) = -a**2. Suppose -q = 4*q - 435. Let w(h) = -q*h + 7*h**2 + 87*h - 2*h**2. Determine w(l(y)). 5*y**4 Let i(l) be the second derivative of 11*l**4/4 + 4786*l. Let m(v) = -6*v**2 - 7*v. Give m(i(y)). -6534*y**4 - 231*y**2 Suppose 209*g = 212*g - 15. Let j(p) = -2*p + g + 2 + 0*p + 4 + 5*p. Let z(d) = -4*d**2. Give j(z(l)). -12*l**2 + 11 Let c(a) be the second derivative of a**4/3 - a. Let p(y) = 4*y**2 - 14*y + 14. Let d(j) = 3*j**2 - 12*j + 12
{ "pile_set_name": "DM Mathematics" }
-10/133 - c. Sort -5, x, 3. -5, x, 3 Let j = -0.8 + -3.2. Let p = -1/43 - -47/172. Let q = -6 - -8. Put q, p, j in increasing order. j, p, q Suppose -5 - 7 = 3*d. Put -2/9, 0.5, d in descending order. 0.5, -2/9, d Let h(p) = -p**2 - 2*p. Let k be h(-2). Sort -1, -3, k. -3, -1, k Suppose 0 = 4*k - 9*k - 25. Sort k, 0, -1 in decreasing order. 0, -1, k Let o be -3*2 - -2 - -2. Sort 5, o, -4, 2 in ascending order. -4, o, 2, 5 Let j = 47 - 48. Sort j, -2, 3 in ascending order. -2, j, 3 Let a = -7.2 + 6. Let t = -5.46 + -0.74. Let c = a - t. Sort -2/7, c, 1/3 in decreasing order. c, 1/3, -2/7 Suppose 245 = -3*w + 260. Put 2, w, 34 in increasing order. 2, w, 34 Let x = -12 - 4. Let u = x - -21. Let b(l) = l**2 + 3*l - 4. Let z be b(-4). Sort z, u, -4. -4, z, u Let y = 22 - 17. Put -1, y, -4, -5 in descending order. y, -1, -4, -5 Suppose -5*p - 8 - 2 = 0. Sort p, -3, 0 in decreasing order. 0, p, -3 Let w(g) = g**2 + 3*g + 4. Let d be w(-3). Suppose -d*m + 10 - 30 = 0. Sort m, -1, -2 in increasing order. m, -2, -1 Let w = 1.925 - -0.075. Let o(u) = -u**3 + 3*u**2 + 3. Let z be o(3). Let s be 7/3 + z + -5. Sort s, w, -2. -2, s, w Let m(o) = o**2 - 12*o + 3. Let s be m(12). Let b(h) = -h**3 - h**2 + 3*h - 4. Let t be b(-3). Sort s, t, 2 in descending order. t, s, 2 Suppose 5*j + 30 = -2*i + 3*i, 5*j + 10 = -3*i. Suppose 26 = 5*r + 1. Let b be (0 - -2)/(-2) + r. Sort -1/3, b, i in decreasing order. i, b, -1/3 Suppose -2*z - 5 = -3*z. Sort -1, 12, z, 1 in decreasing order. 12, z, 1, -1 Let w = -1 - -6. Let v(p) = p + 2. Let b be v(-6). Sort w, -1, b in descending order. w, -1, b Let b = -143 - -1575/11. Suppose 22*g + 95 - 7 = 0. Put 4, b, g in descending order. 4, b, g Let c = 0.1 + 0.1. Let z = c - 0.6. Let f = -0.02 + -3.98. Sort -3/4, f, z in increasing order. f, -3/4, z Let h be 10/3 - 2/6. Sort 5, 4, h, 2 in increasing order. 2, h, 4, 5 Let h = -35 + 38. Let o be (-2)/6 - (-8)/6. Sort h, 5, o in descending order. 5, h, o Let g = -0.1268 + -27.9432. Let s = 27 + g. Let b = 0.07 + s. Put b, 4/7, -3/7 in ascending order. b, -3/7, 4/7 Let o(x) = -2*x - 9. Suppose -35 = 3*g + 2*g. Let p be o(g). Suppose p*f + 0 - 20 = 0. Put 0, 1, f in descending order. f, 1, 0 Let t = -2 - 0. Put t, 0.1, -5 in increasing order. -5, t, 0.1 Let r = -27 - -26.74. Let v = r + 11.26. Let a = -15 + v. Put 2/9, a, 0 in descending order. 2/9, 0, a Let q = -7 - -4. Let o = 0 + -4. Let r = o - -6. Put 4, r, q in ascending order. q, r, 4 Let h = 12/7 + -22/21. Let d be 26/10 - (-4)/10. Sort -0.2, d, h in ascending order. -0.2, h, d Let t(h) = 2*h - 1. Suppose -6*u + 17 = -3*u + 4*f, -f + 6 = u. Suppose 4*i = -u + 19. Let d be t(i). Put -4, d, 1 in descending order. d, 1, -4 Let w = 16 - 14. Let x(v) = -v**3 + v**2 + 1. Let b be x(2). Let i(l) = l**3 - 5*l**2 + 4*l + 3. Let c be i(4). Sort c, w, b in descending order. c, w, b Suppose 0 = 3*i + 12 - 15. Sort 0.5, 5, i. 0.5, i, 5 Suppose -1 = -b + 2*k, 5*b + 7*k = 2*k - 25. Put 1, -1, b in decreasing order. 1, -1, b Let d = 1.55 + 0.05. Let b = d + -1.5. Let y = 0.8 + -1.1. Sort y, 2/11, b in ascending order. y, b, 2/11 Let z be (-415)/(-85) - (-2)/17. Suppose 2*x - z*x = -3. Sort 3, x, -2 in increasing order. -2, x, 3 Suppose m + 12 = -m + 2*j, 26 = -3*m + 5*j. Suppose -2*p + 4*p = -28. Let g be p/4 - (-3)/6. Sort g, 4, m. g, m, 4 Let u = 24 - 24.5. Sort 0.4, -2, u, 6 in increasing order. -2, u, 0.4, 6 Let x be (6/(-5))/(15/(-25)). Sort 3, x, 0 in ascending order. 0, x, 3 Let v be (4/(-6))/(21/63). Let x = -2 + 8. Let g = x + -6. Put g, v, -3 in increasing order. -3, v, g Let m = -7 + 8. Put m, -1/2, -1/3 in descending order. m, -1/3, -1/2 Let b(q) = q**3 - 5*q**2 + 5*q - 1. Let y be b(4). Let s(u) = -u**2 + 6*u. Let n be s(5). Put y, 1, n in decreasing order. n, y, 1 Let o be (2*(-1)/2)/(-6). Let z = -10 + 14. Let b = z + -8. Sort o, 2, b in ascending order. b, o, 2 Let z = 4.75 - -0.25. Sort -0.5, -5, 1/2, z in decreasing order. z, 1/2, -0.5, -5 Suppose 3*i + 16 = y, -2*y - 3*i = -i + 8. Let o = 7 - 10. Put o, y, -2 in descending order. y, -2, o Suppose 12*j - 16 = -2*p + 7*j, 5*j - 20 = 0. Let g = -7 - -11. Put g, p, 0 in descending order. g, 0, p Let v = 0.36 + -0.06. Let r = -3.14 + 0.14. Let f be ((-16)/2)/(-2)*-1. Put f, v, r in decreasing order. v, r, f Let m be (-10)/(-15)*(-6)/(-2). Suppose c + n = -1, 5*n + 1 = -3*c - 0*n. Let j be c/m*(3 + -3). Put j, -3/4, -1 in decreasing order. j, -3/4, -1 Let y = 0.08 - -0.02. Sort y, 3, 0.3 in increasing order. y, 0.3, 3 Suppose -2*o = -o + 6. Let h be o/4*6/9. Let b = 4 - 1. Sort 1, b, h in descending order. b, 1, h Suppose -b + 20 - 5 = 0. Let r = b + -12. Sort -1, r, -5. -5, -1, r Suppose 2*o - 16 + 4 = 0. Let t = -1 + o. Put 3, t, -3 in increasing order. -3, 3, t Let u(o) = o**3 + 9*o**2 + 7*o - 4. Let h be u(-8). Let z = 21 - 9. Suppose 5*i - 2*i + z = 0. Sort h, 2, i in descending order. h, 2, i Let c = -0.14 - -3.14. Sort 1, c, 0 in ascending order. 0, 1, c Let c = 4 + -2. Suppose -4*x + 2 = 6. Sort x, -3, c. -3, x, c Suppose 5*d + 2*t + 35 = -3*t, 2*t - 14 = 5*d. Let l be 1*2/(-4)*2. Sort 4, l, d in ascending order. d, l, 4 Let l(y) = y**3 + 3*y**2 - 5*y - 3. Let m be l(-4). Suppose 3*r + 6*p = p + 25, 4*p = 2*r + 20. Put 2, m, r in descending order. 2, m, r Suppose -40 = -4*v - v. Suppose -h = -2*h - v. Let s be 4/h + 3/(-2). Sort 5, s, -1 in increasing order. s, -1, 5 Let g = -7.27 + 11.3. Let d = 0.03 - g. Let a = -6 - -6.4. Put a, 1/4, d in ascending order. d, 1/4, a Let o(r) = r - 5. Let l be o(9). Let j be (18/8)/(2/(-8)). Let q = j + 10. Put q, l, 5 in decreasing order. 5, l, q Let i(m) = -m**2 - 9*m - 8. Let o be i(-8). Suppose o = 5*b + f - 15, 3*b = -5*f + 7 + 24. Let t = 3 - 2. Sort t, b, 3. t, b, 3 Let a = -0.144 - -0.344. Let z = 89/5 + -1523/85. Sort a, z, 0.4. z, a, 0.4 Let k = -4 + 1. Let w = 3.4 + k. Let q be 5/((-2340)/(-32)) - (-2)/(-9). Sort w, q, -4/7 in decreasing order. w, q, -4/7 Suppose 18 = 4*p - 5*w, -34*p + 30*p + 3*w = -14. Suppose 2*l - l + 3 = 0. Put p, -4, l in increasing order. -4, l, p Let o be ((423/12)/(-3))/34. Let f = 8/17 + o. Sort 4, -2, f in decreasing order. 4, f, -2 Let f(q) = q**3 + q**2 - 2*q + 1. Let s be f(-3). Let t = s + 12. Sort t, -2, -4. -4, -2, t Let j = 0.343 - -0.057. Sort -0.2, 0, j, -2/3. -2/3, -0.2, 0, j Let o = -0.39 + 0.7. Let l = o + -0.01. Put 1/3, 0.1, l in descending order. 1/3, l, 0.1 Let q = -3183/13 + 245. Let v be (-6)/8 - (-2)/8. Put -0.4, v, q in decreasing order. q, -0.4, v Suppose -5*h = -24 + 4. Let w be ((-9)/6)/((-1)/2). Let d = 84 - 84. Sort h, w, d in ascending order. d, w, h Let p = -32 + 33. Let q = 1 + -3. Let t = 0 + 0. Sort p, t, q in ascending order. q, t, p Let m(h) = -h**3 + 6*h**2 + 8*h - 4. Let r be m(7). Suppose -r*x = c - 15, 2*x + 2*c - 6*c = 24. Let o be 6/9 + (-34)/x. Sort -1, 5, o. o, -1, 5 Let j = 53.7 + -54. Sort j, -2, -6 in ascending order. -6, -2, j Let i(w) = w**3 + 2*w**2 - 3*w + 2. Let z be i(-3). Suppose -z*o = o - 15. Let t = -5 - -7. Sort t, -2, o in descending order. o, t, -2 Let d = 1.09 + -0.19. Let m = d - -0.1. Let s = 0.05 - -3.95. Sort s, m, -1/4 in increasing order. -1/4, m, s Let l be -17 + (-2)/4*-6. Let v = 29 + l. Suppose i - 6*i = -k - v, i = 2*k + 12. Sort -3, 3, k in descending order. 3, -3, k Let t(i) = -i**3 - 2*i**2 + 4*i + 2. Let x be t(-3). Let s be (0/((-2)/2))/x. Suppose 0*w - 5*w = s. Sort w, -4, -2 in increasing order. -4, -2, w Suppose l + 3 - 8 = 0. Suppose 3*i = -0*i + 3. Put -1, i, l in descending order. l, i, -1 Let l be 0/(1 - 3)*-1. Let g = -19.3 + -0.7. Let j = 15 + g. Sort j, -0.2, l. j, -0.2, l Let b be 5/(-4)*(-3 + -1). Suppose -3*y = y + 5*n + 5, 3*y - n = -18. Let s(d) = d**2 + 2*d - 7. Let a be s(-4). Sort a, b, y in increasing order. y, a, b Let l = -0.81 + -0.19. Sort -3/5, l, 2/17 in descending order. 2/17, -3/5, l Let y be ((-3)/(-10))/(18/10). Sort -0.2, y, 0.5 in ascending order. -0.2, y, 0.5 Let v be ((-8)/6)/((-16)/12). Sort v, 0, -2 in descending order. v, 0, -2 Suppose -3*t - 12 = -0*t. Sort 5, t, -6 in descending order. 5, t, -6 Let a = -1.6 - -1.9. Let n = -5 + 10. Put a, n, 2 in decreasing order. n, 2, a Let l = 1.3 - 1.4. Put -2/3, -5, l in descending order. l, -2/3, -5 Let q = 0.058 - 0.058. Sort q, 2, 0.07, 0.3 in i
{ "pile_set_name": "DM Mathematics" }
*(1010/(-15) - -4). Let d = v - 853/9. Let f = -0.4 + 0.1. Sort 0.1, 2/19, d, f. f, 0.1, 2/19, d Suppose 6 = 4*p + t, -4*t = p - 0*t + 6. Let b(g) = g**3 + 7*g**2 + 4*g - 5. Let h be b(-6). Suppose 2*c + 1 = h. Put p, 5, 0, c in descending order. 5, c, p, 0 Let h be (-888)/15540 - 72/(-35). Suppose 12 = -4*i - 0. Put i, h, 8, -2 in ascending order. i, -2, h, 8 Let m be (-13 - (-10 + 2))*1*-61. Let n = m + -3051/10. Let d be (-2)/3 + (2 - 2). Put -5, d, n in descending order. n, d, -5 Let c = 29 - 4. Let a be ((-5)/c)/((-8)/(-40)). Put -3, 0, 3, a in increasing order. -3, a, 0, 3 Suppose -3*m - 34 = -5*f - 12, -2 = -2*m - 5*f. Put m, -3, -1456 in descending order. -3, m, -1456 Let k = -158 - -124. Let b = -39 - k. Let f = 9 - 4. Sort b, -2/31, f in descending order. f, -2/31, b Let z = 226.8 + -44.8. Let l = 180 - z. Put -1, l, -16 in increasing order. -16, l, -1 Let j = -6.9 + 6.739. Let s = j - -0.011. Let y be (-3)/(-10) + (-1)/(-2). Sort s, 4, y in ascending order. s, y, 4 Let m = -23/57 + -24/19. Let f = -2 - -1.5. Let b = 2.663833 + 0.336167. Sort f, m, b in ascending order. m, f, b Suppose 0 = 13*v - 35*v - 110. Suppose 0 = -3*j - 12, p + 3*p + 3*j - 84 = 0. Let d be (-4)/p - (-19)/6. Put v, d, 2 in increasing order. v, 2, d Let t = 2635 + -2633. Sort t, 11, -2/5 in descending order. 11, t, -2/5 Let q be (-8 + 7)/(2/(-8)). Let k = 5 - 4. Put k, 35, q in decreasing order. 35, q, k Suppose 46*v + 240 = 7*v - 41*v. Sort -2, 0.4, -1/3, 0.1, v. v, -2, -1/3, 0.1, 0.4 Let f be 1 - 4*-1 - -2. Let m = 271897 - 271897.3. Sort -2, m, f, -2/9. -2, m, -2/9, f Let z be 3/(2 - (-14)/(-4)). Suppose 0 = 2*v - 19*v + 51. Sort 0, 39, z, v. z, 0, v, 39 Suppose p - 105*l = -104*l + 99, 4*p - 2*l - 398 = 0. Sort -2, p, 3/10, 0.2 in descending order. p, 3/10, 0.2, -2 Let a = -0.849 + 0.009. Let n = a - -0.76. Let v = 0.86 - -0.14. Put n, 3, v in descending order. 3, v, n Suppose -19*b = -25*b - 6. Sort 33, b, -2 in ascending order. -2, b, 33 Let c(v) = v**3 - 7*v**2 - 16*v - 8. Let n be c(9). Let t(g) = 27*g - 189. Let y be t(7). Put -0.5, n, y in descending order. n, y, -0.5 Let l = 5.23432 - 5.23432. Let s = 19 - 9. Sort -4/7, 1/4, l, s. -4/7, l, 1/4, s Let m be 3/((-15)/35) + 30 + -16. Sort -5, -3, m, 14, -1 in decreasing order. 14, m, -1, -3, -5 Suppose 12*x = 102*x + 39*x - 129. Sort -0.3, x, -20. -20, -0.3, x Suppose -3*h - 9 = -6*h. Let v = 10412 - 10414. Sort 0, 5, h, v in decreasing order. 5, h, 0, v Let m = -18147 + 18153. Let r = 0 + -5. Put 5, r, m, -1/4 in increasing order. r, -1/4, 5, m Let d be ((-72)/(-14))/(1*(-22)/(-77)). Suppose 38*g = 29*g - d. Put 0, 10, g, 11 in ascending order. g, 0, 10, 11 Let r = -32.738 + 32.48. Let k = -0.642 + 0.6. Let j = k + r. Put j, 3, 2, 5 in decreasing order. 5, 3, 2, j Let u be 4/((-80)/4) - (-9 + (-441)/(-45)). Sort u, -3, -545. -545, -3, u Suppose 37 = -3*o - o + 5*c, c = 5*o + 20. Suppose r + 2*g + 577 = 2*r, 4*r - 2264 = -3*g. Let w = r - 570. Put 5, 0, o, w in increasing order. o, w, 0, 5 Suppose 34*c = -120*c - 308. Let w = -3 + 5. Put 5, -31, w, c in ascending order. -31, c, w, 5 Suppose -3*p = 9, 0 = -3*q + 3*p - 27 + 138. Let v be 0/(-6) - 4/q. Let g = 0.26 - -0.04. Put v, g, -2 in ascending order. -2, v, g Let v = 3.3 + 64.7. Let r = v - 69. Suppose -4*t - z = -8, 2*z - 5 = 5*t - 2*t. Put 1.2, r, t in descending order. 1.2, t, r Let b(y) = y**2 - y - 12. Let x be b(0). Let z be x/105 + (-2)/7. Let t = -8453 + 8452. Sort 0.3, z, -3, t in decreasing order. 0.3, z, t, -3 Let x = 0.2 - 0.9. Let a = -0.2 - x. Let t(o) = -o**3 - 10*o**2 - 23*o + 8. Let g be t(-4). Sort 0.2, a, g in descending order. g, a, 0.2 Let s = 519.723 - 520. Let g = s - -0.307. Let r = -9 + 9. Put r, g, 0.2, -3/2 in descending order. 0.2, g, r, -3/2 Let x = 1673 - 1042. Let t = x + -630. Let h = 38 - 63. Put t, h, -3, -4 in descending order. t, -3, -4, h Let l = 3.55 - 0.55. Suppose -s = s + 28. Let n = s + 44/3. Put n, 1, l, 0.3 in decreasing order. l, 1, n, 0.3 Suppose 5854*y + 30 = 5849*y, 6 = 3*h - 3*y. Suppose 3*s - 2 = 2*s. Sort s, h, 10 in decreasing order. 10, s, h Suppose -5*t - j = -138 + 119, -5*t = 2*j - 13. Let z = 66 + -64.96. Let k = z + -0.04. Put -2/13, 4, t, k in increasing order. -2/13, k, 4, t Let t = -1.5964 - -0.0064. Sort -0.3, t, -0.2, 2 in decreasing order. 2, -0.2, -0.3, t Suppose -48*q + 840 = -216*q. Put -2, 137, q, -1 in decreasing order. 137, -1, -2, q Let a(m) be the second derivative of m**5/20 - m**4/2 - m**3/6 + m**2/2 + 2*m. Let b be a(6). Suppose 3*j + 2 = 5 - 6. Sort 2, j, b in descending order. 2, j, b Let t(x) = 2*x**2 + 60*x + 134. Let h be t(-28). Sort 2, h, 0 in increasing order. 0, 2, h Let s = 34.1 + -34.4. Let o be (6 - 1) + 196/(-42). Let p = 7 + -4. Sort p, o, s in descending order. p, o, s Let g = -28 - -24.92. Let a = g - -0.78. Let v = -0.3 - a. Sort 2/3, v, 0.5, -8/3 in decreasing order. v, 2/3, 0.5, -8/3 Let j be (-4)/6*1 + 48/18. Suppose 5*x = 3*m - 10, -2*x + x = -m. Suppose 0*c + 5*g = 3*c - 32, 5*g + 24 = c. Sort c, x, -2, j in descending order. c, j, -2, x Let g be 9/21 - 15576/84. Let y = g + 185. Sort -3, y, -2. -3, -2, y Suppose 3*j + 3*c + 6 = 0, -3*j + 9*c = 14*c. Put 1, 2, j, 19 in decreasing order. 19, 2, 1, j Let s(j) = j**3 - 13*j**2 - 2*j - 25. Let k be s(13). Let f = k - -46. Let o(x) = -2*x - 3. Let l be o(-5). Sort -4, 2, f, l in increasing order. f, -4, 2, l Let b(u) be the third derivative of -3*u**5/20 - u**4/8 + u**3/6 + 31*u**2. Let h be b(-1). Sort 1, 0, h. h, 0, 1 Let c = -47 - -44. Sort -0.2, -237, -0.1, c, -4. -237, -4, c, -0.2, -0.1 Let q be 3 + 0 + 1371 + -12. Let r = q + -1360. Let c = 5 + -9. Sort r, c, -5, -2 in descending order. r, -2, c, -5 Suppose 4 = 57*u - 55*u. Let t = -508 + 505. Sort 8, t, u in ascending order. t, u, 8 Let c be (2/(-3))/((-16)/6). Let k be 2/(-27) - (-2666)/13392. Sort -2/123, 0.2, c, k in increasing order. -2/123, k, 0.2, c Let k = -36434 - -36490. Sort 9, k, -3/7. -3/7, 9, k Let h = -0.15 - -18.15. Suppose 85*v - 448 = -108. Sort h, -0.2, 1, v in increasing order. -0.2, 1, v, h Let i be (203 + -201)/(((-50)/(-3))/(36/(-6))). Let q = 12 - 14. Put i, -4, q in descending order. i, q, -4 Let t = 953 - 54. Let p = t + -897. Let x = -15.01 + 0.01. Put 1/2, p, x in increasing order. x, 1/2, p Suppose 785*n = 601*n + 184. Sort 2/21, n, -0.0134 in descending order. n, 2/21, -0.0134 Let h be (2/34)/(10/(-55270)). Let w = h - -325. Let u = 20 - 20. Sort u, w, 3. w, u, 3 Let r be 1/(-2)*-68 - 5. Suppose r*y - 24*y = -15. Let t be (2/(-3))/(1 + 0). Put t, y, 6, -0.3 in ascending order. y, t, -0.3, 6 Let r = 18 + -25. Suppose -389 = 4*u - 4*y - 381, 17 = -4*u + y. Sort 5, r, 7, u in descending order. 7, 5, u, r Suppose -s + 2*m + 136 = 0, 2*s - 4*m + 5*m = 292. Let j = -430/3 + s. Sort 3, j, -0.4, -2/37 in decreasing order. 3, j, -2/37, -0.4 Suppose 91 = 3*w - 308. Suppose -3*k - p = -0*p - 194, -2*k + 3*p = -w. Let f = 64 - k. Sort 3, -5, -4, f in decreasing order. 3, f, -4, -5 Let h(y) = -y**3 + 63*y**2 + 485*y + 349. Let x be h(70). Let z = 6 - 8. Put x, 34, 5, z in decreasing order. 34, 5, x, z Let g(f) = 2*f**3 + f**2 - 20*f - 8. Let u be g(3). Put u, 3, -15, 2 in increasing order. -15, u, 2, 3 Let m(v) = -v**2 + 19*v - 66. Let i be m(11). Suppose -i*r + 21*r = 0. Suppose 3 = -u + 2*u. Put -3, r, u in descending order. u, r, -3 Let a(d) be the third derivative of 0*d + 1/60*d**5 + 0 - 2/3*d**4 - 16*d**2 - 35/6*d**3. Let q be a(18). Sort q, -5, -4 in increasing order. -5, -4, q Let i(k) = -k**3 - 7*k**2 + 4*k + 29. Let u be i(-7). Suppose 0 = -4*h - 4. Sort u, h, -21 in ascending order. -21, h, u Let z = 2739.2 - 2529. Let j = z + -144. Let h = j + -66. Sort 5, h, 0.08 in descending order. 5, h, 0.08 Let r(x) = x**3 - 9*x**2 + 16*x - 8. Suppose 14 = 4*k - 2*k. Let v be r(k). Let d(a) = -a**3 - 7*a**2 - a - 2. Let p be d(-7). Put v, 2, p in descending order. v, p, 2 Let q = 0.46 - 0. Let t = -0.06 + q. Let y = 9.2 + -9. Put 0.1, y, t in ascending order. 0.1, y, t Suppose -5*m - 50 = 17*b - 12*b, 4*b = -2*m - 12. Sort 27, -4, m, 4, 3 in increasing order. m, -4, 3, 4, 27 Let b be 17 + (-6)/2 + 2. Let q(d) = 2*d**3 + 18*d**2 + 12*d - 26. Let l be q(-8). Sort -2, -4, b, l in descending order. b, l, -2, -4 Let d = -263 - 208. Let p =
{ "pile_set_name": "DM Mathematics" }
v(k) = 5*k + 127. Let c be v(0). Find the third derivative of 2*y**d + 36*y**4 - 116*y**2 + c*y**2 wrt y. 912*y Let f(w) be the first derivative of 1723*w**4/4 + 28*w**2 + 10*w - 4896. Find the second derivative of f(l) wrt l. 10338*l Let f = 6 + -3. Let u be 16/6 - 10/15. Find the third derivative of -12*m**4 - 4*m**u + f*m**2 - 15*m**2 + m**2 wrt m. -288*m Suppose -8 = 4*c - 4*k, 3*c - 31*k - 2 = -30*k. Let s(t) be the first derivative of 7/3*t**3 + 0*t**c + 36*t + 10. What is the first derivative of s(j) wrt j? 14*j Differentiate 1022105183*h - 1022105183*h + 9917 + 7826*h**2 wrt h. 15652*h What is the first derivative of -1368 - 263*a**4 + 40*a + 544*a**4 - 274*a**4 wrt a? 28*a**3 + 40 Let l(x) = -13*x**3 - 630*x**2 - 12. Let w(s) = 2*s**4 + 12*s**3 + 628*s**2 + 15. Let d(u) = 5*l(u) + 4*w(u). What is the third derivative of d(m) wrt m? 192*m - 102 Let j be (-112)/(-14) + (-1 - 0). What is the third derivative of -3*d**6 - 94*d**2 - j*d**5 - 43 + 85 - 41 wrt d? -360*d**3 - 420*d**2 Let i(x) be the third derivative of 925*x**9/504 - x**7/210 - x**6/40 - 15*x**5/4 + 19*x**4/24 - 9988*x**2. What is the third derivative of i(m) wrt m? 111000*m**3 - 24*m - 18 Let d(r) be the third derivative of -1/60*r**5 + 0*r**3 + 0 - 1/24*r**4 + 0*r - 1/15*r**6 - 57*r**2. What is the second derivative of d(z) wrt z? -48*z - 2 Let x(w) be the first derivative of -7*w**6/6 + 203*w**3/3 - 391*w**2/2 - 7*w + 1031. What is the second derivative of x(j) wrt j? -140*j**3 + 406 Let t(u) be the second derivative of -144*u**6/5 + 25*u**4/4 - u**3/3 - 3*u**2 + 127*u - 3. What is the third derivative of t(c) wrt c? -20736*c Let s(k) = k**2 + 4*k. Let u(g) = 17*g**2 - 52 - 15*g + 45*g - 22 - 16*g**2. Let l(c) = 2*s(c) - u(c). Differentiate l(r) wrt r. 2*r - 22 Let d(b) be the first derivative of -2*b**5 - 7*b**4 + b**2/2 - 7188*b + 6504. Differentiate d(q) wrt q. -40*q**3 - 84*q**2 + 1 What is the second derivative of 8840*x - 235*x - 6347*x**4 + 6347*x**4 + 9557*x**5 wrt x? 191140*x**3 Let z(x) be the first derivative of -7*x**6/3 + 44*x**5/5 - 361*x**3 + 2312. Find the third derivative of z(b) wrt b. -840*b**2 + 1056*b Suppose 5*k = 2*q - 1, 3*q = 3*k + 5 + 1. Find the second derivative of 13*j**3 + 18*j**q - 1008*j - 2*j**4 + 1122*j wrt j. -24*j**2 + 186*j Let k(g) be the third derivative of -307*g**4/12 + 2333*g**3/6 + 1863*g**2. Differentiate k(y) wrt y. -614 Find the third derivative of -891*o**4 + 194*o**2 - 1121*o**4 - 1402*o**2 + 8*o**3 - 8*o**3 wrt o. -48288*o Let y(m) be the third derivative of 13/3*m**3 - 7/4*m**4 + 0*m - 15*m**2 + 1/6*m**5 + 0. Let d(k) be the first derivative of y(k). Differentiate d(s) wrt s. 20 Let y(x) be the second derivative of x**4/4 - x**3/6 + 3*x**2 + x. Let q be y(2). What is the first derivative of -z - z - 3*z - 8*z + q wrt z? -13 Suppose -3*b = -2*r - 65, -55 - 18 = -3*b + 4*r. Let f = 22 - b. Find the third derivative of -5*k**4 - 21*k**2 + 7*k**2 - f*k**4 wrt k. -192*k Let o(m) be the first derivative of -m**7/70 - m**6/20 - 8*m**3 - 53*m**2 - 99. Let l(b) be the second derivative of o(b). Differentiate l(q) wrt q. -12*q**3 - 18*q**2 Let w(z) = 3771*z + 2242. Let p(k) = 5653*k + 3364. Let l(c) = -9*p(c) + 14*w(c). Find the first derivative of l(y) wrt y. 1917 Suppose -c = -0*c + 2*l + 9, -l = -3*c - 6. Let d be (1/c)/(11/(-66)). What is the third derivative of 4*m**d + 9*m + 2*m**4 - 9*m + 7*m**4 wrt m? 216*m Let q(n) be the second derivative of -56*n**6/3 + 1301*n**2 - 3014*n - 2. Differentiate q(v) with respect to v. -2240*v**3 Let u(r) = -12*r**4 + 167*r + 2. Let a(p) = -61*p**4 + 837*p + 11. Let n = 536 - 538. Let v(o) = n*a(o) + 11*u(o). Find the second derivative of v(j) wrt j. -120*j**2 Let d(c) be the third derivative of 0 + 1/3*c**3 + 1/6*c**5 + 0*c**6 + 88*c**2 + 1/30*c**7 + 55/24*c**4 + 0*c. Find the second derivative of d(g) wrt g. 84*g**2 + 20 Let v(u) = 10135*u - 7621. Let p(n) = -70949*n + 53342. Let c(w) = 2*p(w) + 15*v(w). Find the first derivative of c(s) wrt s. 10127 Let k(a) = 829*a**3 - 5*a**2 + 12. Let g(u) = 828*u**3 - 6*u**2 + 3*u + 10. Let t(q) = -6*g(q) + 5*k(q). Find the third derivative of t(h) wrt h. -4938 Let i(h) be the third derivative of -1033*h**9/168 - 416*h**5/5 + 2*h**2 - 1868*h. What is the third derivative of i(o) wrt o? -371880*o**3 Let d(n) = n**2 - 13*n - 27. Let t be d(-2). Find the second derivative of -3 + 12*f**5 + t + 48*f**3 - 51*f**3 + 14*f wrt f. 240*f**3 - 18*f Let f(j) = j**4 + 2*j**3 + j. Let t(m) = 3*m**4 - 4*m**3 + 23*m**2 + 15*m + 47. Let a(b) = 2*f(b) + t(b). What is the second derivative of a(r) wrt r? 60*r**2 + 46 Let k(i) be the third derivative of 0 + 0*i**3 + 1/120*i**6 + 1/60*i**5 - 17/105*i**7 - 23/24*i**4 + i**2 + 4*i. What is the third derivative of k(x) wrt x? -816*x + 6 What is the first derivative of 343*y - 85*y + 530 + 248 + 552*y wrt y? 810 Let j(v) be the second derivative of 21*v + 1/20*v**5 + 1 + 1/6*v**3 + 2/3*v**4 + 17*v**2. What is the second derivative of j(c) wrt c? 6*c + 16 Differentiate -82 - 910 + 123 - 1583*v**3 + 4624*v**3 - 1092 with respect to v. 9123*v**2 Let g(q) be the first derivative of q**6/15 + 2*q**3 + 13*q**2/2 + 2*q + 47. Let z(p) be the second derivative of g(p). Find the first derivative of z(v) wrt v. 24*v**2 Suppose 2*f + 14 = 4*t, 0 = t - 0*t + 3*f - 14. Let y = -117 + 120. What is the second derivative of 13*d + 10*d**3 - 4*d + t*d**y + 3*d wrt d? 90*d Let l be 2/(((-12)/229)/(-6)). What is the first derivative of -8*x**4 + 200 - l + 0*x**4 - 4*x wrt x? -32*x**3 - 4 Find the second derivative of -225280*m**2 + m**5 - 3*m**5 + 225280*m**2 + 57*m + 6 + 1053*m**4 wrt m. -40*m**3 + 12636*m**2 Suppose -15*h + 45 - 15 = 0. Let j = -12 - -21. Find the second derivative of 32*b**2 - 32*b**h - j*b**4 - b wrt b. -108*b**2 Let a = 74 - 73. Let d be (-2 + a)/((-4)/76). Find the second derivative of -2*j + 15*j**3 - j**3 - 11*j**3 - d*j**3 wrt j. -96*j Let b(d) be the first derivative of 101*d**5/20 + 23*d**4/3 + 110*d + 81. Let q(k) be the first derivative of b(k). What is the third derivative of q(w) wrt w? 606 Let o(w) be the third derivative of 6797*w**5/60 - w**4/12 + 5193*w**3/2 + w**2 - 17*w - 93. Find the second derivative of o(i) wrt i. 13594 Let g(o) be the first derivative of 809*o**5/5 + 206*o**3/3 - o + 645. Find the third derivative of g(c) wrt c. 19416*c What is the third derivative of -q**2 - 126*q + 3219*q**3 - 122*q + 248*q + 56 wrt q? 19314 Let a be (216/30 + -4)*(-25)/(-2). Find the first derivative of -a + 69*l - 10*l - 88 + 8 wrt l. 59 Suppose 5*j = 3*k + 2, -j + 4 = 3*j - 3*k. Let r = 20 - j. What is the second derivative of 4*u**3 - 7*u**3 - 3*u**3 + 4*u**3 + r*u wrt u? -12*u Let n(u) = u**2 - 3*u + 5. Let h be n(2). Suppose -10 = h*y - 55. What is the third derivative of 23*p**3 - 8*p**2 - y*p**2 - 25*p**2 + 30*p**2 wrt p? 138 Suppose 5*q - 482 = -117. What is the derivative of 3*k + 35*k - k - 53 + q*k wrt k? 110 Find the third derivative of -1076*z + z**2 + 2138*z - 1064*z + z**2 + 6581*z**4 - 1161 wrt z. 157944*z Let b(h) = h**4 - 938*h**3 + 785*h - 4. Let c(r) = -6*r**3 + r - 1. Let s(m) = -b(m) + 4*c(m). What is the second derivative of s(l) wrt l? -12*l**2 + 5484*l Let x be (9 + -8)*-4 + 8. Differentiate 41*q**2 - x*q**4 - 9*q - 69*q**2 + 6*q - 49 + 3*q with respect to q. -16*q**3 - 56*q Let a be ((-1)/4)/(1/(-8)). Suppose -9*s - a = -11*s. What is the second derivative of 19*d**2 - 19*d - 37*d**2 + s - 1 wrt d? -36 Let o(s) = s**3 + 3*s**2 - 5*s - 1. Let p be o(-4). Let j be (-6)/(24/(-49)) + (-3)/(-4). Find the third derivative of -9*g**p + g**2 + 11*g**2 - j*g**2 wrt g. -54 Let o = 45 + -20. Suppose -o - 75 = -5*n. Find the second derivative of -3*t + 6*t - 14 + n*t**2 + 14 wrt t. 40 Let t = 310 - 210. Let v be 1 + 16 + (-6 - 1). Find the third derivative of -j**4 + v*j**2 + t*j**6 + j**4 - 116*j**6 wrt j. -1920*j**3 Suppose -12*t + 16*t - 28 = 0. Suppose 2*m = 2*s + 14, -4*m + 23 = -t*s + 4*s. Find the third derivative of j**4 + 168*j**3 - 168*j**3 - 17*j**m wrt j. 24*j Let k(f) be the second derivative of -f**3 - 7*f**2 + 18*f. Let o be k(-4). What is the second derivative of -21*u - 3*u**2 - 3*u**2 - o*u**4 + 6*u**2 wrt u? -120*u**2 Let r = -5 + -1. Let y be 4/(((-4)/6)/(r/9)). What is the second
{ "pile_set_name": "DM Mathematics" }
in 3*i**3 + 302496*i - 302496*i. 3*i**3 Collect the terms in 14*m**3 - 338*m**2 + 39*m**3 - 349*m**2 + 687*m**2. 53*m**3 Collect the terms in -66*q - 136*q**3 + 66*q - 25*q**3 + 163*q**3. 2*q**3 Collect the terms in -99*g**3 - 56*g**2 - 49*g**2 + 105*g**2. -99*g**3 Collect the terms in -3*k**2 - 55*k - 26*k + 15*k**2 + 5*k**2 - 11*k**2. 6*k**2 - 81*k Collect the terms in -8372290 + 8372290 + 5*u**2. 5*u**2 Collect the terms in -8*v**3 + 8*v**3 + 21*v**3. 21*v**3 Collect the terms in -241*d + 2*d**3 + 241*d - 352*d**2. 2*d**3 - 352*d**2 Collect the terms in -171*o**2 + 62*o**2 + 17*o**3 + 54*o**2 + 55*o**2. 17*o**3 Collect the terms in 18*r**2 + 24*r**2 - 28*r**2 + 23*r**2 - 36*r**2. r**2 Collect the terms in -39127*m + 5 + 0 + 39130*m - 5. 3*m Collect the terms in 87 - 55 - 7*t**2 + 7*t**2 + 2*t**3. 2*t**3 + 32 Collect the terms in -2*g**3 - g - 61 - 8*g + 9*g - 24. -2*g**3 - 85 Collect the terms in -7 + 27*z - 3 + 0*z + 3. 27*z - 7 Collect the terms in 5*g + 11*g - 27*g + g - 8*g. -18*g Collect the terms in -22*l**2 - 9*l**2 - 25*l**2 + 36*l**2. -20*l**2 Collect the terms in -2*y - 36*y + 10*y - 35*y. -63*y Collect the terms in 5 - 24*z**3 - 701*z**3 + 2*z - 5. -725*z**3 + 2*z Collect the terms in 10*b**2 - 22 + 22 + 341*b**2. 351*b**2 Collect the terms in 127 + 2*w + 193 + 28 + 156 - 89. 2*w + 415 Collect the terms in -17172 - 2906*l + 2909*l + 17172. 3*l Collect the terms in 12 + 418782*f - 12. 418782*f Collect the terms in -4*l**2 + 4*l**2 - 73*l**3 + 13*l**3 + 63*l**3. 3*l**3 Collect the terms in 103*p**2 + 256*p**2 + 280*p + 293*p - 573*p. 359*p**2 Collect the terms in -3909 - a**2 + 3267 + 642. -a**2 Collect the terms in -62740 - 3*d + 125616 - 62876. -3*d Collect the terms in 178*o**2 - 6*o - 4*o + 45*o**2 + 87*o**2. 310*o**2 - 10*o Collect the terms in -378302*x + 14*x**2 - 27*x**2 + 378302*x + 15*x**2. 2*x**2 Collect the terms in -1220 - 2*r**3 + 3673 - 1229 - 1224. -2*r**3 Collect the terms in 0 + 93*z + 7*z - 15*z + 0 - 80*z. 5*z Collect the terms in -1 - 23296*p + 1 + 7542*p. -15754*p Collect the terms in -16*j + 6*j + 57 + 13*j + 14*j. 17*j + 57 Collect the terms in -2941*m + 908*m - 2987*m. -5020*m Collect the terms in -402 + 200 + 7*y + 202. 7*y Collect the terms in 1561*p - 519*p - 524*p - 516*p. 2*p Collect the terms in -2*a - 27 + 47 + 8 + 63. -2*a + 91 Collect the terms in 250*p**3 - 560*p**3 + 187*p**3. -123*p**3 Collect the terms in -43*t + 43*t - 160*t**2 + 159*t**2 + 217. -t**2 + 217 Collect the terms in 1528*g + 1532*g - 4592*g + 1534*g. 2*g Collect the terms in 615*c**2 - 271*c**2 - 342*c**2. 2*c**2 Collect the terms in 675 + 162*j - 675. 162*j Collect the terms in -16*g**3 - 9*g**3 - 38*g**3 - 13*g**3. -76*g**3 Collect the terms in 24766*m**3 + 24774*m**3 - 99088*m**3 + 24768*m**3 + 24779*m**3. -m**3 Collect the terms in -14*u + 13*u - 25*u - 35*u. -61*u Collect the terms in -190 + 6*s**3 - 109 - 2*s**3 - 3*s**3 + 299. s**3 Collect the terms in 0 + g**3 + 51*g**2 - 3 + 2 - 20*g**2. g**3 + 31*g**2 - 1 Collect the terms in 71*j**2 - 4*j + 7*j**3 - 345*j**2 + 2*j. 7*j**3 - 274*j**2 - 2*j Collect the terms in 133386*k**3 + 133304*k**3 - 266689*k**3. k**3 Collect the terms in 2083*t**3 - 1240*t**3 + 608*t**3. 1451*t**3 Collect the terms in -16 - 229*r**2 + 16 + 34*r. -229*r**2 + 34*r Collect the terms in 16*d - 1076*d**2 - 13*d - 3*d. -1076*d**2 Collect the terms in -10359*m**2 - 769*m**2 + 224*m**2. -10904*m**2 Collect the terms in 284*a**2 - 42635*a - 273*a**2 + 21317*a + 21318*a. 11*a**2 Collect the terms in 101*b**3 + 36*b**3 + 253*b**3 + 28*b - 55*b + 29*b. 390*b**3 + 2*b Collect the terms in v**3 - 83 + 3*v**3 - 5*v**3. -v**3 - 83 Collect the terms in 0*l**3 - 1696 + 859 - 2*l**3 + 837. -2*l**3 Collect the terms in -139*t**3 - t - 501*t**3 + t. -640*t**3 Collect the terms in -468*o**3 - 566*o**3 + 19 - 7*o**2 - 20. -1034*o**3 - 7*o**2 - 1 Collect the terms in -832*z**3 + z**2 - z**2 + 419*z**3 + 429*z**3. 16*z**3 Collect the terms in 3*h + 15*h + 45*h**2 - 18*h - 38*h**2. 7*h**2 Collect the terms in -19 + 238*j - 16 + 35. 238*j Collect the terms in -164*k - 163*k + 676*k - 156*k - 192*k. k Collect the terms in -12342 + 12342 + 4*x**2. 4*x**2 Collect the terms in 1467*x - 2717*x + 1375*x. 125*x Collect the terms in -44*a - 343*a + 387*a + 2*a**3. 2*a**3 Collect the terms in 3 - 344*k**2 + 132*k - 132*k. -344*k**2 + 3 Collect the terms in 60*c - 170*c + 68*c + 58*c. 16*c Collect the terms in -3*v**2 + 2*v**2 - 22*v + 7*v**2 - 2. 6*v**2 - 22*v - 2 Collect the terms in -17419*k - 17412*k - 17414*k + 52242*k. -3*k Collect the terms in -1686*g - 317*g**2 + 1677*g + 313*g**2. -4*g**2 - 9*g Collect the terms in 640*t**2 + 5*t**3 - 8*t**3 - 577*t**2. -3*t**3 + 63*t**2 Collect the terms in 199*g**3 - g + 101*g**3 + 335*g**3 + g. 635*g**3 Collect the terms in 200*c**3 - 430*c**3 - 1114*c**3. -1344*c**3 Collect the terms in 377*s - 109*s - 113*s - 102*s. 53*s Collect the terms in -90*s**3 - 5 + 2 + 3. -90*s**3 Collect the terms in 0*q - q - 231 + 95. -q - 136 Collect the terms in 2*l**2 - 140848*l**3 + 140838*l**3 - 2*l**2. -10*l**3 Collect the terms in -6*j - 2*j**3 + j - j + j**3 - 39*j**2. -j**3 - 39*j**2 - 6*j Collect the terms in 7142*x + 7145*x + 4*x**3 + 7144*x - 21431*x. 4*x**3 Collect the terms in -18*a**2 + 26*a + 30*a - 78*a + 22*a. -18*a**2 Collect the terms in 6215*z**3 - 3116*z**3 - 2*z**2 - 3122*z**3. -23*z**3 - 2*z**2 Collect the terms in 425 + 430 + 100*p - 855. 100*p Collect the terms in 8198*a**3 + 8199*a**3 + 8232*a**3 - 24631*a**3. -2*a**3 Collect the terms in -4502*m**3 - 4520*m**3 - 3 + 2 + 9057*m**3. 35*m**3 - 1 Collect the terms in -33*s**3 + 37885*s - 37885*s. -33*s**3 Collect the terms in 322*i + 82*i + 326*i. 730*i Collect the terms in -75*x + 5*x**3 + 207*x - 13*x**3 - 65*x - 60*x. -8*x**3 + 7*x Collect the terms in -23 + 0*z + 44 - 20 + 4*z + 0*z. 4*z + 1 Collect the terms in -3*g**3 + 20988*g - 20988*g - 7*g**3. -10*g**3 Collect the terms in 206 - 3*q - 43 - 85 - 78. -3*q Collect the terms in 22344 - 11175 + 19*v - 11169. 19*v Collect the terms in 449*i + 447*i + 0 + 3 - 2 - 703*i. 193*i + 1 Collect the terms in 686 - 228 - 4*s**3 - 232 - 226. -4*s**3 Collect the terms in -234*c**2 + 122*c**2 + 148*c**2. 36*c**2 Collect the terms in -685 - 1754*c**3 + 1675*c**3 + 685. -79*c**3 Collect the terms in 8*r**2 - 8*r**2 + 353*r**3 - 351*r**3. 2*r**3 Collect the terms in -2772 + 30*x**3 - 2786 - 14*x**3 - 18*x**3 + 5558. -2*x**3 Collect the terms in 45*i**3 - 12*i + 14*i**3 + 4*i**2 + 2*i. 59*i**3 + 4*i**2 - 10*i Collect the terms in -386299 + 386299 + 13*b**2. 13*b**2 Collect the terms in -35 - 28*x**3 + 12*x**3 + 9*x**3 + 9*x**3 - 219. 2*x**3 - 254 Collect the terms in -190 - z + 32 + 83 + 75 - 2*z. -3*z Collect the terms in 37*t**3 + 0*t**2 + 4 - 107*t**3 + 0*t**2 - 1. -70*t**3 + 3 Collect the terms in 10 + 47 - 17 + 9 - m**3 - 14. -m**3 + 35 Collect the terms in 39747*f**2 - 8*f - 39749*f**2 + 41*f. -2*f**2 + 33*f Collect the terms in 185182*n**3 - 370350*n**3 + 185179*n**3. 11*n**3 Collect the terms in -347*s**3 - 284*s**2 + 284*s**2 + 3*s - 3*s. -347*s**3 Collect the terms in -62*m + 21*m + 22*m + 24*m + 5. 5*m + 5 Collect the terms in 2746 - 318*v**2 - 2746 + 318*v**2 - 3*v**3. -3*v**3 Collect the terms in 1 + 48*d + 22*d - 34*d + 34*d. 70*d + 1 Collect the terms in -1012067 - 22*w**3 + 1012067. -22*w**3 Collect the terms in -35277*c - 16*c**2 + 17640*c + 17637*c. -16*c**2 Collect the terms in -11 - 8 + 10*c**3 + 24 - 10. 10*c**3 - 5 Collect the terms in 134162 + 11*y**3 - 134162. 11*y**3 Collect the terms in -1 - 182*k + 20*k + 159*k. -3*k - 1 Collect the terms in -4 + 27 - 25 + 2 + r. r Collect the terms in 13*b**3 - 535 + 163 + 188 + 184. 13*b**3 Collect the terms in -5*h + 52 - h + 2*h + 3*h. -h + 52 Collect the terms in -111*g**3 - 2 + 2 + 0. -111*g**3 Collect the terms in 6*r**3 + 128 + 10*r**3 - 5*r**3 - 128. 11*r**3 Collect the terms in 62 + 13*w**2 + 90 + 48 - 200. 13*w**2 Collect the terms in -1229 - 7*b**3 + 1229 + 3*b**2 - 3*b**3 - b**2. -10*b**3 + 2*b**2 Collect the terms in -22*a**2 - 30 + 81 - 71. -22*a**2 - 20 Collect the terms in -100*h - 89*h - 88*h - 89*h + 356*h. -10*h Collect the terms in -327*a**2 - 163*a**2 + 493*a**2. 3*a**2 Collect the terms in -2088*n**2 + 14*n - 14*n
{ "pile_set_name": "DM Mathematics" }
n**(-6/7))/(n*n/n**0*n))/(n/(n/(((n*n**(-2/21)*n)/n)/n))*n**(-6))) assuming n is positive. n**(-5648/315) Simplify (i**2/i*i**(-3))/(i/(i*i**(-1)*i*i)*i)**45*(i**0/i)**(-2/7)/(i**1)**(-11) assuming i is positive. i**(65/7) Simplify ((g*g**(-1)*g)**47)**29/((g*g/(g/g**(-1)))**37/((g**(-2/13)*g*g)/(g*g**(1/6)))) assuming g is positive. g**(106367/78) Simplify ((m*m/m**7)/(m*m/(m**(-7)*m)))**(1/21)*(m**(1/2))**(-1/9)*m/((((m**(-8)*m*m)/m)/m)/m*m*m)*m*(m**0/m*m)/m assuming m is positive. m**(923/126) Simplify (a**(-15)*a*a**32)/(a**(-27/4)*a**(2/11)) assuming a is positive. a**(1081/44) Simplify r*r*r*r**(-3)/r*r*r/(r**(1/3)*r)*((r*r**(-1/3))/r)**11*((r*r**(-1/8))/r**(-5))**25 assuming r is positive. r**(1143/8) Simplify ((l/(l/((l*l**(-1))/l)))**(-21)*(l/(l*l**(2/9)))**(9/2))/(l**(-12)*l**(-10))**15 assuming l is positive. l**350 Simplify ((((j/(j*j**0)*j)/(j**7*j))**(2/45))**8)**(1/9) assuming j is positive. j**(-112/405) Simplify (m**5*m**1)**(-14)/(((m**(2/5)*m)/((m/(m*m/m**(-2/13)*m))/m))/((m/(m/(m*(m**(1/4)/m)/m)))/m*m**(-5))) assuming m is positive. m**(-24779/260) Simplify ((b*b**1/b)**(10/7))**(4/27)*((b/(b/b**(-3)))/b**5)/((b*b**2*b)/(b*((b*b/(b/b**(-1/2)))/b*b)/b)) assuming b is positive. b**(-4267/378) Simplify ((k*k*k**(-1/5))/k)/(k*k**(2/11)*k)*(k*(k*(k**(2/3)/k)/k)/k*k)/k**1*k**(-6)/(k*k**(-3)*k)*(k**(-1/3)*k)**14 assuming k is positive. k**(144/55) Simplify ((f/f**2)/f**(-1/2))**(-12)*((f*(f/(f/(f*f**(-2/47))))/f)/f**(-14))**(-13/3) assuming f is positive. f**(-8293/141) Simplify (f**(-1))**(-1/8)/(f**(2/3)/f**(-1/3))*(f/(f**(2/25)*f))/((f/(f*f/(f**(-1/10)*f)))/f)*f**0*f*f*f**1 assuming f is positive. f**(629/200) Simplify (y**(2/3))**(-26)*((y/(y*y**29))/y)/(y*y/(y**(-9)/y*y)) assuming y is positive. y**(-175/3) Simplify ((((p/(p*p*p**(1/2)*p*p))/(p**(-6)/p))**(-22))**11)**26 assuming p is positive. p**(-22022) Simplify ((w/(w**1/w))/w*w**8*(w/((w/w**(-7/5))/w))**(-7/12))**(44/3) assuming w is positive. w**(5434/45) Simplify (((z*z**(-2/35))/(z*z/z**18))/(z**26/z**(6/11)))**5 assuming z is positive. z**(-3277/77) Simplify ((n**2)**(-1/9))**(24/11)*((n**(1/2)/n)**(2/3))**(-40) assuming n is positive. n**(424/33) Simplify ((a/(a/(a**26*a))*a)**(-11/2)*(a**32/a*a)**(1/2))**(-2/29) assuming a is positive. a**(276/29) Simplify ((d*d*d**(4/7))**(-3/14))**(2/7)/((d**(-2))**40*d**(-1/6)*d*d**(2/5)*d) assuming d is positive. d**(798599/10290) Simplify (y/y**(-2/5)*y/(y/(y*y*y**(-1)*y))*(y/y**(2/5))**(-31))/((y**(-2)*y)/(y/y**(-3/2)*y))**(-10) assuming y is positive. y**(-301/5) Simplify ((b*b*b**(-2/7)/b*b)**(-32))**(-26)/(b**(-3/8)/b*b*b**(7/3)*(b*b**(2/3))/b**4) assuming b is positive. b**(79893/56) Simplify ((r*(r/(r*(r*r**(-12/11))/r)*r)/r*r)/r**14*(r/(r**(-2/23)/r))/(r/(r/((r**(-15)*r)/r))))**(6/7) assuming r is positive. r**(9378/1771) Simplify ((o**(23/5)*o**(-26))/((o*o*o**(2/13)*o)/o)**25)**(-1/4) assuming o is positive. o**(4891/260) Simplify v*v**1*v*v/v**(-2/19)*v**(-3/2)*(v*v**(-2)*v)/v*v*(((v**(-5)*v)/v*v*v*v)/(v/(v**5*v)))**(-19/3) assuming v is positive. v**(-623/38) Simplify ((m**(-1))**(7/4)/((m*m*m**(2/7))/m)**(-19/3))/(((m*m**0*m)/m)**(-3/8)*(m**(1/8)/m)/((m*m**6)/m*m)) assuming m is positive. m**(205/14) Simplify ((u/(u/(u**(2/7)*u))*u**(-4/7))/(u**(-1))**(-1/12))**(2/55) assuming u is positive. u**(53/2310) Simplify (((b*b**(1/13))/b*(b*b/((b*b**(-16))/b))/b)/(b**20*b*b*b/(b*b*b/(b*b*b**(2/37))*b)))**(9/7) assuming b is positive. b**(-17217/3367) Simplify ((l**(-13)/(l/l**(1/7)))/(l**(8/11)*l**(-4)))**(-45) assuming l is positive. l**(36675/77) Simplify (i**(-11)/(i**(-2/21)/i*i))**(-7/3)*((i/i**1*i)/i*i**(-3/8))**(-2/35) assuming i is positive. i**(32087/1260) Simplify (v*v/(v*v**48)*v)**(-14)/(v*v**(1/23)*v**24) assuming v is positive. v**(14236/23) Simplify r**(-2/43)*r*r**(2/31)*r**(1/48)/(r/(r/(r/(r/((r/r**(2/3))/r))))) assuming r is positive. r**(36375/21328) Simplify ((h**(4/3)/(h*h/(h/h**(-6/5)))*h*h**1*h**(-2/7))**8)**(1/69) assuming h is positive. h**(2728/7245) Simplify ((o/o**(11/3)*o)/((o*o/o**(4/27)*o)/o))/((o/((o**15/o)/o))/(o**(-14/13)/o)) assuming o is positive. o**(2248/351) Simplify (((v**0*v)/v)/v*v*v*v**(3/2)*v)**(14/5)/(v/((v/(v**(6/7)*v))/v)*v**(-6))**47 assuming v is positive. v**(5513/35) Simplify (l**(2/7)*l**(-4))**(-2/21)*(l*l/l**(2/11)*l/l**(1/5))/(l**(1/3))**38 assuming l is positive. l**(-78382/8085) Simplify (v**(2/5)*(v**3/v)/v)/(v**4/v**4)*(v/(v**(-4)/v)*v/(v/(v*v**(-7)))*v)/((v/v**(2/31))/(v**(5/4)*v)) assuming v is positive. v**(2303/620) Simplify (s*s/(s/(s**(2/61)/s))*(s*s/(s*s**39)*s)/s*s**(-5)*s*s**(-10))**(-1/3) assuming s is positive. s**(3170/183) Simplify (r**11/(r*r**(-5)*r))**(3/8)*(r**3*r*r*r**8)/(((r/r**(-1))/r)/(r/r**7)) assuming r is positive. r**(45/4) Simplify (f**1)**(-2/19)*f**(-2/13)*f/(f*f**5*f)*((f/(f/(f/(f*f*f**(-2/7))*f*f))*f)/f)**41*(f**(-2/3))**(-14) assuming f is positive. f**(289375/5187) Simplify ((s/(s/(s*s/(s/(s/(s*s**16*s*s)))))*s*s)**(2/85)/(s**4/s*(s**(-36)/s*s)/s))**37 assuming s is positive. s**(21164/17) Simplify (((s/s**(11/5))/(s/(s/s**(-1))*s))/((s/(s*s**(-20)/s))/s)**(-43))**(-13/6) assuming s is positive. s**(-27911/15) Simplify ((s**(2/3)/s*s**(4/3))/(s/((s/(s/(s*s**0*s)))/s))**18)/((s**1*s*s/(s/(s/((s*s*s**(-4)*s)/s*s))))/(s*s**(1/3)*s*s**(-2/3)/s)) assuming s is positive. s**(-7/3) Simplify ((u*u/u**11)**10/(u/(u/((u**5*u*u)/u))*u*u)**(-28))**14 assuming u is positive. u**1876 Simplify (f/f**(-23))/(f**39*f)*((f*f**(-26))/f)**(10/19) assuming f is positive. f**(-564/19) Simplify ((x*x**0/x)**(-3/28)*(x**1*x*x)/(x**6/x*x*x))/((x*x/x**(1/3)*x)/(x/(x/x**7))*(x*(x*x/x**5)/x)/(x/(x/((x**(-1/3)*x)/x)))) assuming x is positive. x**3 Simplify (((t**(5/12)*t)/(t*t*t**15*t))/(t**(-7/8)*t**32))**(-4) assuming t is positive. t**(1145/6) Simplify ((h*h/(h/h**(-1/4))*h*h)**(2/13)/((h**(2/3)*h*h)/h**(1/4)))/((h**(-2/3))**(-42)/((h*h**(1/6)*h*h)/h**(2/15))) assuming h is positive. h**(-21029/780) Simplify ((m**(3/13)/(m/m**(-28)))/(m**(2/37)/(m/m**(13/2))))**(9/4) assuming m is positive. m**(-297171/3848) Simplify (((v/v**(-9))/(v/(v*v**(-14))))/(v*v/((v**(-6)/v)/v))**11)**(-18/13) assuming v is positive. v**(2052/13) Simplify (w*w**7)/w*w/(w*w**(-1/2))*(w**(3/4)*w*w)/w**5*(w**7*w**(1/4)/w)**(4/3) assuming w is positive. w**(163/12) Simplify ((j/(j*(j*j**(-1/3))/j))/j)/(j*j/j**(2/5)*j)*((j*(j*j*j**3)/j*j)/j)/(j*j/j**(-2/11))*j**(3/2)/j*j*j*j**(-3)*(j**1)**36 assuming j is positive. j**(11567/330) Simplify ((h**(-1/7)*h**(-4/7)*(h/((h/((h*h/h**3)/h))/h))**(17/4))**41)**(1/4) assuming h is positive. h**(-5699/112) Simplify (((((a*a**(1/4))/a*a)/a)/a**(-4))/(((a/((a/a**(-7))/a))/a*a)/(a**14*a)))**(-31) assuming a is positive. a**(-3131/4) Simplify (((l/(l*l/(l*l/l**6))*l)/l)/(l*l**7))**24/((l**2)**(-2/81)*l/(l**(-6)*l)*l*l*l**(-2/5)*l) assuming l is positive. l**(-129823/405) Simplify (n**(-2)*n*(n/((n*n*n/n**(4/5))/n*n*n)*n*n*n)/n)**(-17/6)/(n**6*(n/(n**3*n))/n*(n**(-2/3))**(-20/3)) assuming n is positive. n**(-137/45) Simplify (((x/((x*(x**(-2/7)*x)/x*x)/x)*x)/(x**(-2)*x))/(x**2/(x/(x*x/(x**(-4)/x)*x))))/((x*x**(-1/3)/x)/x**7)**(-46) assuming x is positive. x**(-7225/21) Simplify (((u*u**(-2/3))/(u*u*u/(u/u**(-2/43))*u*u))/(u*u*u**19/u*u*u*u*u**(1/5)))**19 assuming u is positive. u**(-328681/645) Simplify ((g**(-4/5))**(-14/9)/(((g/(g*g*g*g*g/(g*g**(25/4))*g))/g)/(g/g**(8/13))))**(20/7) assuming g is positive. g**(887/819) Simplify ((g*g**(-19))/((g*g**(1/4))/g)*g**(-17)/(g**(-11)/g*g))**(-42) assuming g is positive. g**(2037/2) Simplify ((d**18*d**(-6))/(d*d*(d**(-5/3)/d)/d*d*d/(d*d/((d/d**(-25))/d)*d*d*d)))**41 assuming d is positive. d**(-1025/3) Simplify ((i*i*i*i**(-1/2)/i)**32*(i**(-1/4))**(-35))/((i**(1/4)*i*i**(-3/8))/(i**(-2/7)/i**2)) assuming i is positive. i**(3001/56) Simplify ((y/(y**(-5)*y)*y*y*y)**35/(y**(-3/7))**(-7/4))**(-31) assuming y is positive. y**(-34627/4) Simplify ((y*y*y*y**(3/4)/y)**10/((y*y**(-7/6)*y*y)/y*y**(11/3)))**35 assuming y is positive. y**805 Simplify (((j**11*j)/(j**14/j)*j**(-1)/(j/(j*j*j**(-2/17)/j*j)))**(-1/23))**(-33/2) assuming j is positive. j**(-627/782) Simplify (w**(-5)/(((w*w/(w/(w**(1/20)/w))*w)/w)/w)*(w/w**(-3)*w)**44)**41 assuming w is positive. w**(177079/20) Simplify (c**(-6)/(c*c/((c/((c/c**(2/5))/
{ "pile_set_name": "DM Mathematics" }
ime factors of 1214910? 2, 3, 5, 13499 What are the prime factors of 2156597? 2156597 List the prime factors of 586469. 13, 197, 229 List the prime factors of 424428. 2, 3, 113, 313 List the prime factors of 243078. 2, 3, 11, 29, 127 List the prime factors of 56888. 2, 13, 547 List the prime factors of 3076615. 5, 229, 2687 List the prime factors of 873038. 2, 113, 3863 What are the prime factors of 5935141? 997, 5953 List the prime factors of 265201. 163, 1627 What are the prime factors of 8395767? 3, 932863 What are the prime factors of 559361? 11, 211, 241 What are the prime factors of 2224979? 2224979 List the prime factors of 804128. 2, 13, 1933 What are the prime factors of 253352? 2, 11, 2879 What are the prime factors of 15088338? 2, 3, 821, 1021 List the prime factors of 2065578. 2, 3, 344263 What are the prime factors of 2089700? 2, 5, 20897 What are the prime factors of 284268? 2, 3, 23689 What are the prime factors of 1332372? 2, 3, 111031 List the prime factors of 784514. 2, 223, 1759 List the prime factors of 5562276. 2, 3, 463523 List the prime factors of 16223908. 2, 37, 109621 What are the prime factors of 71115? 3, 5, 11, 431 List the prime factors of 3744958. 2, 7, 267497 List the prime factors of 154660. 2, 5, 11, 19, 37 List the prime factors of 555533. 11, 50503 List the prime factors of 147249. 3, 16361 List the prime factors of 1761470. 2, 5, 353, 499 What are the prime factors of 1348619? 1348619 List the prime factors of 1082382. 2, 3, 7, 25771 List the prime factors of 245310. 2, 3, 5, 13, 17, 37 List the prime factors of 4919446. 2, 7, 37, 9497 List the prime factors of 7548715. 5, 23, 41, 1601 List the prime factors of 15341743. 1873, 8191 List the prime factors of 9966901. 7, 1423843 What are the prime factors of 521709? 3, 23, 7561 What are the prime factors of 17621592? 2, 3, 734233 List the prime factors of 87812. 2, 29, 757 List the prime factors of 2499402. 2, 3, 79, 5273 What are the prime factors of 33195? 3, 5, 2213 What are the prime factors of 234238? 2, 117119 List the prime factors of 28830. 2, 3, 5, 31 What are the prime factors of 11971913? 11971913 List the prime factors of 9187227. 3, 7, 145829 List the prime factors of 27997974. 2, 3, 37, 173 What are the prime factors of 17878135? 5, 11, 17, 19121 What are the prime factors of 843332? 2, 7, 30119 What are the prime factors of 9063630? 2, 3, 5, 33569 What are the prime factors of 805482? 2, 3, 73, 613 What are the prime factors of 1223497? 11, 111227 What are the prime factors of 15775? 5, 631 List the prime factors of 30508729. 167, 182687 What are the prime factors of 369801? 3, 17, 2417 What are the prime factors of 994774? 2, 11, 103, 439 What are the prime factors of 1211912? 2, 13, 43, 271 What are the prime factors of 279840? 2, 3, 5, 11, 53 List the prime factors of 183856. 2, 11491 List the prime factors of 719003. 23, 43, 727 List the prime factors of 255582. 2, 3, 4733 What are the prime factors of 837027? 3, 29, 1069 What are the prime factors of 6248608? 2, 31, 6299 What are the prime factors of 943829? 67, 14087 List the prime factors of 7482308. 2, 1870577 List the prime factors of 357161. 7, 37, 197 List the prime factors of 7059882. 2, 3, 1176647 What are the prime factors of 34230824? 2, 89, 131, 367 List the prime factors of 100974. 2, 3, 16829 What are the prime factors of 225242? 2, 112621 What are the prime factors of 826002? 2, 3, 109, 421 List the prime factors of 6613258. 2, 3306629 List the prime factors of 913186. 2, 563, 811 What are the prime factors of 1826815? 5, 277, 1319 List the prime factors of 261037. 7, 89, 419 List the prime factors of 1109275. 5, 44371 List the prime factors of 4955793. 3, 41, 43, 937 List the prime factors of 256058. 2, 11, 103, 113 List the prime factors of 46523. 46523 List the prime factors of 16463189. 16463189 List the prime factors of 852182. 2, 426091 What are the prime factors of 6663117? 3, 199, 11161 List the prime factors of 693834. 2, 3, 197, 587 List the prime factors of 7561673. 7, 757, 1427 What are the prime factors of 3599186? 2, 43, 41851 What are the prime factors of 1083729? 3, 31, 43, 271 What are the prime factors of 25024911? 3, 73, 114269 What are the prime factors of 1111226? 2, 31, 17923 List the prime factors of 13097629. 67, 233, 839 What are the prime factors of 237465? 3, 5, 1759 List the prime factors of 317601. 3, 1307 What are the prime factors of 8423728? 2, 526483 What are the prime factors of 352790? 2, 5, 35279 What are the prime factors of 12976789? 7, 151, 12277 What are the prime factors of 770492? 2, 71, 2713 What are the prime factors of 13777547? 7, 31, 173, 367 List the prime factors of 545678. 2, 7, 38977 What are the prime factors of 735814? 2, 233, 1579 List the prime factors of 11310096. 2, 3, 7, 41, 821 What are the prime factors of 4352562? 2, 3, 80603 List the prime factors of 729054. 2, 3, 23, 587 List the prime factors of 206375. 5, 13, 127 What are the prime factors of 356400? 2, 3, 5, 11 What are the prime factors of 274353? 3, 109, 839 What are the prime factors of 617693? 617693 List the prime factors of 4761062. 2, 2380531 List the prime factors of 8306810. 2, 5, 311, 2671 List the prime factors of 115307. 67, 1721 What are the prime factors of 9284854? 2, 37, 125471 List the prime factors of 351442. 2, 7, 13, 1931 What are the prime factors of 1779140? 2, 5, 11, 8087 What are the prime factors of 2166742? 2, 1083371 List the prime factors of 227249. 11, 73, 283 What are the prime factors of 905881? 43, 21067 List the prime factors of 235042. 2, 17, 31, 223 List the prime factors of 26290559. 29, 307, 2953 What are the prime factors of 218971? 218971 List the prime factors of 970295. 5, 43, 4513 What are the prime factors of 766655? 5, 107, 1433 List the prime factors of 1348804. 2, 337201 What are the prime factors of 575505? 3, 5, 7, 29 List the prime factors of 146510. 2, 5, 7, 13, 23 What are the prime factors of 522518? 2, 137, 1907 List the prime factors of 988959. 3, 71, 4643 List the prime factors of 240226. 2, 7, 17159 List the prime factors of 20102301. 3, 71, 163, 193 What are the prime factors of 9466348? 2, 17, 73, 1907 List the prime factors of 3639545. 5, 7, 13, 19, 421 List the prime factors of 203888. 2, 12743 List the prime factors of 475638. 2, 3, 79273 List the prime factors of 320472. 2, 3, 4451 What are the prime factors of 4328431? 97, 44623 What are the prime factors of 7236955? 5, 11, 131581 What are the prime factors of 1181206? 2, 13, 181, 251 List the prime factors of 302797. 11, 27527 List the prime factors of 5237615. 5, 17, 43, 1433 List the prime factors of 2123560. 2, 5, 53089 List the prime factors of 10425604. 2, 7, 19, 19597 What are the prime factors of 567078? 2, 3, 94513 What are the prime factors of 256018? 2, 7, 18287 List the prime factors of 55672. 2, 6959 List the prime factors of 26402781. 3, 23, 382649 What are the prime factors of 823642? 2, 411821 What are the prime factors of 191749? 191749 List the prime factors of 87294. 2, 3, 14549 List the prime factors of 1937924. 2, 19, 43, 593 List the prime factors of 27898224. 2, 3, 17, 179, 191 List the prime factors of 1413265. 5, 7, 149, 271 List the prime factors of 4980356. 2, 19, 3449 List the prime factors of 18381756. 2, 3, 1531813 What are the prime factors of 555940? 2, 5, 7, 11, 19 List the prime factors of 2177388. 2, 3, 20161 List the prime factors of 2239605. 3, 5, 157, 317 What are the prime factors of 53810? 2, 5, 5381 List the prime factors of 710715. 3, 5, 47381 List the prime factors of 9666436. 2, 13, 185893 What are the prime factors of 1256631? 3, 37, 11321 What are the prime factors of 31680775? 5, 7, 17, 23, 463 List the prime factors of 506927. 43, 11789 What are the prime factors of 24408957? 3, 17, 23, 20809 What are the prime factors of 1454342? 2, 491, 1481 List the prime factors of 11185541. 17, 657973 List the prime factors of 176820. 2, 3, 5, 7, 421 List the prime factors of 3332364. 2, 3, 7, 39671 What are the prime factors of 7736835? 3, 5, 419, 1231 List the prime factors of 436241. 13, 23, 1459 List the prime factors of 414247. 379, 1093 List the prime factors of 374537. 374537 List the prime factors of
{ "pile_set_name": "DM Mathematics" }
-4*p = -557 - 71. Is p composite? False Let d = 62 - -32. Is d composite? True Let v(k) = -3*k**3 + 7*k**2 - 4*k + 7. Let q(u) = u**3 - 3*u**2 + 2*u - 3. Let d(j) = 5*q(j) + 2*v(j). Is d(-5) prime? True Let n = 4 - 3. Let a = 1 - n. Suppose 0 = 3*r - 2*m + 3*m - 148, -2*m + 2 = a. Is r a composite number? True Suppose -10*m = -1672 - 238. Is m a prime number? True Is 27536/144 + (-2)/9 composite? False Let h(p) = p**3 - 3*p**2 - 6*p + 2. Let i be h(4). Let a = i - -10. Is 12/(-10)*(-1 - a) a prime number? False Let g(p) be the first derivative of -p**3/3 + 2*p**2 - p - 2. Let u be g(2). Suppose u*q = -2*q + 335. Is q a prime number? True Suppose -m + 0 = -2. Suppose 3*x + 1785 = 5*i, i = -m*x + 88 + 256. Suppose 3*w - 117 - i = 0. Is w prime? True Let y be (3 - (9 - 3)) + 182. Is y - -1 - (-2 - -3) a prime number? True Suppose 0 = -5*p, 4*h - 1324 = -3*p + 5*p. Is h prime? True Suppose -2*k + 59 = 15. Let p = -13 + k. Is p prime? False Let s = 17 + -11. Is (635/15)/(2/s) composite? False Let i(v) = v**2 - v + 298. Is i(0) prime? False Suppose -a = 2*a. Suppose -4*n + a*n = v - 373, -n + 1417 = 4*v. Is v prime? True Suppose 5*m + 3*i = 142, 0 = -5*m + 2*i - i + 126. Let x = 9 + m. Is x a prime number? False Let h(d) be the first derivative of d**7/840 - d**5/120 + 31*d**4/24 - d**3/3 - 3. Let l(q) be the third derivative of h(q). Is l(0) prime? True Let k = 511 - 98. Is k composite? True Let z(j) be the third derivative of -j**6/120 - j**4/24 + j**3/2 - 2*j**2. Let w be z(0). Suppose w*p = 5*p - 38. Is p prime? True Suppose -1438 = x - 4*x - 2*r, -2*x = 2*r - 958. Suppose d = -2*d - 4*v + 311, 5*d - v - x = 0. Is d prime? True Is (4/12)/((-2)/(-10446)) - -4 composite? True Let l(y) = y + 3. Let p be l(7). Suppose -4*w - a + 9 = 0, p = 4*w - 0*a + 2*a. Suppose -5*q = -w*s + 322, -q = s - 3*s + 322. Is s a prime number? False Suppose -6*c + 125 = -c. Let x = 112 - c. Is x a composite number? True Let b(o) = -3*o**3 - 3*o**2 + 3*o - 1. Is b(-4) composite? False Let l(k) be the first derivative of -29*k**3/6 - 3*k**2/2 - k + 1. Let d(r) be the first derivative of l(r). Is d(-4) a composite number? False Suppose -3*a - 30 = -3*x, x - 2*a - 7 = 4. Suppose x*g = 4*g - w - 34, -8 = -2*g + 5*w. Is 430/14 - g/21 a prime number? True Is -785*(4/5)/(-2) composite? True Let j(h) = -h**3 + 4*h**2 - 2*h - 3. Let k be j(3). Is 33 - 0/(3 - k) a prime number? False Let a = 13 + -8. Suppose -a*y = -0*y - 90. Let k = 33 - y. Is k prime? False Let a(l) be the first derivative of -l**2 + l + 2. Let k be a(2). Is k/6 + 231/2 a composite number? True Let p = 13 - 13. Suppose p = 3*d + 5*n - 50, d + n + n - 17 = 0. Is d a prime number? False Suppose -r - 21 = -4*h, 9*h - 22 = 4*h - 3*r. Let m be ((-716)/10)/(h/(-75)). Is 4/(-6) - m/(-18) a composite number? False Is 22/(-55) - (-1 + 92/(-5)) composite? False Suppose -2*c - 9 = -0*c + 5*z, -c - 1 = -z. Let a(x) = -x**2. Let m be a(c). Is (-10)/(-4) + (-2)/m a composite number? False Let p be (-1)/5 - 1104/(-20). Suppose -3*o + 4*y + 412 - p = 0, -4*o + 454 = 2*y. Is o prime? False Let m(n) = 14*n + 3. Let b(u) = -15*u - 2. Let k(l) = -5*b(l) - 4*m(l). Is k(5) a composite number? True Suppose -4*s = 2*j - 27 - 71, -5*j - 3*s = -252. Is j composite? True Let p = 40 - -221. Let s(o) = -4*o. Let a be s(-1). Is p/a - (-1)/(-4) prime? False Let i = -8 + 11. Suppose -6*y - 3 = -i*y - 5*w, 0 = -y - w - 1. Is y/(-4) + 1329/12 prime? False Let w = -37 - -22. Let t = -6 - w. Is (-1)/3 + 318/t composite? True Suppose 0 = 2*w + z, -w + 2*z + 6 = z. Suppose 3*i - 4*q = 887, -w*i - 2*i - q = -1208. Is i a prime number? False Let w = 311 - 208. Is w a prime number? True Let d(r) = 14*r**3 + 3*r**2 - 12*r + 4. Is d(5) a composite number? True Suppose f = -4*f. Let w(h) = -1 - 6*h**2 - 5*h + f*h - h**3 - 1 - 5. Is w(-6) a prime number? True Let w(s) = -12*s - 3. Suppose 5 + 1 = -c. Is w(c) composite? True Suppose -3*r + 232 = -b - 510, 0 = 3*r + 5*b - 772. Is r a prime number? False Let f(c) = c**2 - 2. Suppose 0 = -4*d - 8, 2*z + 4*d - 7 = -z. Suppose 0 = -h + 9 - z. Is f(h) prime? False Let l = 14 + -7. Let a(u) be the third derivative of u**5/30 - 11*u**4/24 + 5*u**3/3 - 2*u**2. Is a(l) composite? False Let j(w) = -w - 2. Let r be j(-2). Suppose r = m + 3*m - 1964. Is m composite? False Suppose -4*s - 3*m + 32 = s, 4*m - 3 = -s. Let o(f) = s*f + 4 + 10*f + 0. Is o(3) prime? False Suppose f + 6 = 14. Let h be (2*-1)/(4/(-78)). Suppose -v + f = -h. Is v a prime number? True Suppose 5*r - 48 = 2*r. Suppose -2*y - 3 = 15. Let g = r - y. Is g a prime number? False Let y = 962 - 463. Suppose -4*z + y = 63. Is z a composite number? False Suppose -2*m - 234 = -0*m. Let s be ((-204)/(-10))/(2/(-20)). Let x = m - s. Is x composite? True Suppose 0 = -3*s + 5 - 2. Is (18 - s)/((-3)/(-159)) a composite number? True Let u(x) = -7*x + 9. Let l(a) = 6*a - 9. Let p(t) = 3*l(t) + 2*u(t). Let j(o) = o + 1. Let y be j(5). Is p(y) prime? False Suppose 5*v - 21 = -w, 0*w - 40 = -4*v + 5*w. Suppose -3*k = 3*q - 6, 7*k = -4*q + 4*k + v. Is 10 - (1 - 3) - q a composite number? False Suppose 5*f - 3*f - 674 = 0. Is f a composite number? False Let g(i) = 4*i**2 + 4*i - 1. Let w be 1 - 8/(-1 + 3). Is g(w) composite? False Suppose 2*n = -4*q - 0*n + 346, 3*q + n - 261 = 0. Suppose -7*g = -3*g - q. Is (g/(-6))/(2/(-30)) a composite number? True Let m = 130 + 267. Is m prime? True Suppose -253 = -2*h + 199. Suppose -5*d = -0*i + 5*i - 15, -4*i + 4 = 0. Suppose 3*j = 3*k + 339, d*j + 4*k - h = 2*k. Is j a prime number? True Suppose 15 = 2*q + 5. Suppose -144 = -z - 5*w, -36 + 837 = q*z - 2*w. Is z a composite number? True Let z(l) = -18*l + 2. Let p(o) = o**3 - 8*o**2 + 6*o + 5. Suppose 4*m = 5*q - 19, q + 0*q = 2*m - 1. Let c be p(q). Is z(c) a prime number? False Is 6296/6 - (-6)/(-18) a composite number? False Let u(m) = 15*m**2 - 4*m - 1. Is u(4) a composite number? False Suppose -4*o - 10152 = -4*y, o + 7574 = 3*y + 6*o. Is y composite? True Let d = 254 + 101. Is d a composite number? True Let d(x) = 107*x + 21. Is d(8) composite? False Suppose 0 = -2*r - 0*r + 10. Suppose -r*t - 20 = -t, -4*k = -5*t - 5. Is 5*-1*(-28 - k) a composite number? True Is 178/(68/20 + -3) a prime number? False Let w(q) = 4*q - 3. Let r be w(3). Suppose 0 = 8*f - r*f + 59. Is f composite? False Let h be -13*6*2/(-4). Suppose -2*s - 2*p + 60 = -32, -s + 31 = -4*p. Suppose 2*i - y - 150 = 0, -i + 4*y + h = -s. Is i prime? False Suppose -2323 = -5*d + 2332. Suppose -d = -3*u - 4*a, u - 2*a = -3*u + 1278. Is u prime? True Let s be 1/3 + (-112)/21. Let i = 6 + s. Is (42/2)/i + -2 a prime number? True Let p(o) be the third derivative of -o**6/360 + o**5/15 - o**4/12 - o**3/6 + o**2. Let m(g) be the first derivative of p(g). Is m(3) prime? True Suppose -2*t - 35 + 731 = 0. Is t/9 - 8/12 prime? False Let u(n) be the second derivative of 7*n**4/24 - n**3/6 - 3*n**2/2 + 3*n. Let o(d) be the first derivative of u(d). Is o(2) composite? False Suppose 1200 = -4*o + 9592. Is o a composite number? True Let w = -3 + 1. Let t(f) = 3*f**2 + 7*f**2 - 2*f + 8*f**2 + 1. Is t(w) prime? False Suppose -3*b - 24 = -0*i - 3*i, -3*i - 3*b + 6 = 0. Suppose 0 = i*g - 119 - 596. Is g composite? True Suppose w - 327 + 68 = 0. Is w a composite number? True Let v(x) = -1472*x**3 - 2*x**2 + 5*x + 6. Is v(-1) a composite number? False Let x = 2 + 2. Suppose -2*v - 99 = d - 6*d, x*d - 84 = 4*v. Is d a composite number? False Let h be 4/10 + (-580)/(-50). Let y(k) = k**3 + 5*k**2 + 2*k - 5. Let i be y(-4). Suppose -h = 4*g, -5*g + 13 = i*r - 29. Is r composite? False Let a = -10 - -15. Suppose 478 = 4*b - w, w = a*b - 3*w - 603. Is b a composite number? True Let g(b) be the second derivative of b**5/20 - b**4/2 - 8*b**3/3 + 11*b**2/2 - b. Is g(10) prime? True Let y = -12 + 133. Is y prime? False Suppose -2*h - 2*m = -1156, h - 2*m = -4*m + 575. Is h prime? False Let u = 316 - 159. Is u prime? True Suppose -234 = -3*m + m. Let r = 105 + m. Suppose -5*p + r = -733. Is p prime? True Let j be -1 - (-39 + 2 + 2). Suppose 0 = -c - 0*c + j. Is c prime? False Let b(g) be the first derivative of 92*g**3/3 - 3*g**2/2 - 3*g + 3. Is b(-2) a composite number? True Let n = 1 + 3. Suppose 12 = -2*v + n*v. Suppose v*c = 3*c + 30.
{ "pile_set_name": "DM Mathematics" }
et m(s) = 98790*s**3 - 890*s**2 - 445*s - 445. Let u(d) = 890*d**3 - 8*d**2 - 4*d - 4. Determine -4*m(o) + 445*u(o). 890*o**3 Let d(w) = -2*w**3 + 5*w**2 + 17*w - 3. Let c(v) = v**3 - 6*v**2 - 9*v + 2. Calculate 5*c(s) + 3*d(s). -s**3 - 15*s**2 + 6*s + 1 Let i(w) = 8 + 13 + 0*w - 34 + 11 + 2*w. Let t(s) = 1. Determine -i(p) - 4*t(p). -2*p - 2 Let y(z) = -16*z**2 - 254*z - 11. Let f(b) = 9*b**2 + 126*b + 6. Calculate 7*f(l) + 4*y(l). -l**2 - 134*l - 2 Let r(y) be the second derivative of y**5/4 + y**4/6 + 2*y**3/3 - 2*y**2 - y - 23. Let i(f) = -9*f**3 - 5*f**2 - 7*f + 7. Calculate -4*i(v) - 7*r(v). v**3 + 6*v**2 Let s(t) = 81*t**2 + 228*t + 9. Let o(v) = -8*v**2 - 22*v - 1. Calculate 21*o(g) + 2*s(g). -6*g**2 - 6*g - 3 Let i(n) = -10959*n + 78. Let c(t) = -707*t + 5. Calculate 78*c(m) - 5*i(m). -351*m Let w(y) = 129*y**2 - 5. Let n(l) = 131*l**2 - 6. Determine -5*n(m) + 6*w(m). 119*m**2 Let t(b) = -7*b**3 + 2*b + 10. Let l(g) = -20*g**3 + 7*g + 31. Calculate -2*l(a) + 7*t(a). -9*a**3 + 8 Let m(x) = -2*x**3 + 41*x**2 + 3*x - 5. Let r(z) = -3*z**3 + 81*z**2 + 5*z - 10. Give 5*m(j) - 3*r(j). -j**3 - 38*j**2 + 5 Let q(h) = -2*h + 0*h + 3*h - 54 + 34 + 24. Let l(s) = -s - 1. What is 2*l(a) + q(a)? -a + 2 Let n(y) = 5*y + 25. Let g(o) = 10*o + 48. Determine -3*g(m) + 5*n(m). -5*m - 19 Let i(b) = 16*b**2. Let w(f) = f**2. Let p(o) = o**3 + 9*o**2 + 14*o - 13. Let u be p(-3). Determine u*i(m) + 2*w(m). -14*m**2 Let a(c) = 18*c + 19. Let y(n) = -17*n - 16. Give 4*a(l) + 5*y(l). -13*l - 4 Let m(a) = a**3 + 2*a**2 + 35. Let g(k) = -6*k**3 - 11*k**2 - 175. Determine 4*g(p) + 22*m(p). -2*p**3 + 70 Let w(j) = -15*j**2. Suppose 0 = -4*g - 4*s + 28, -4*g + 0 = -s - 3. Let q = -18 - g. Let t(m) = -m**2. Determine q*t(x) + w(x). 5*x**2 Let g(n) = -n - 15. Let c(a) = -a - 16. Calculate 4*c(o) - 3*g(o). -o - 19 Let a(z) be the first derivative of -z**2/2 + 2*z - 8. Let i(k) = k - 1. Let x be -1*(-4 + 6)*(-10)/(-4). Determine x*i(j) - 4*a(j). -j - 3 Let t(c) = c**3 + 6*c - 144. Let f(i) = i**3 + 10*i - 293. What is 3*f(p) - 5*t(p)? -2*p**3 - 159 Let w(s) = -3*s - 1. Let a(d) = -20*d - 1. What is a(u) - 6*w(u)? -2*u + 5 Let o(a) = 2*a**2 + 2*a + 5. Let u(k) = k**2 + 5*k + 4. Let q be u(-4). Suppose -3*m - 15 = -q. Let y(b) = b**2 + b + 2. Determine m*y(i) + 2*o(i). -i**2 - i Let u(y) = 2*y - 1. Let d(z) = -8*z**3 + 7*z**2 + 8*z - 4. Give -d(g) + 4*u(g). 8*g**3 - 7*g**2 Let r(t) = 1380*t**3 - 21*t - 21. Let c(u) = 138*u**3 - 2*u - 2. What is -21*c(y) + 2*r(y)? -138*y**3 Let r be (1 + 74 + 0)*22/(-66). Let x(o) = -o + 1. Let z(t) = 15*t - 25. Determine r*x(j) - z(j). 10*j Let x(b) = -7*b**3 + 4*b + 6. Let h(a) = -4 - 31*a**3 - 38*a**3 - 3 - 5*a + 76*a**3. Determine 4*h(q) + 5*x(q). -7*q**3 + 2 Let y(q) = -q**3 - 1. Let c(a) be the first derivative of -3*a**4/4 - 3*a - 72. Give -c(g) + y(g). 2*g**3 + 2 Let u = 107 - 102. Let c(f) = -25*f + 5. Let x(q) = 12*q - 2. What is u*x(a) + 2*c(a)? 10*a Let o(y) = -39*y - 7. Let a(m) = -39*m - 6. What is -5*a(h) + 4*o(h)? 39*h + 2 Let x(o) = -3*o. Let h(b) = -7*b. Suppose 0 = 3*w + 3*c + 11 - 23, 5*c = -2*w + 8. What is w*h(v) - 10*x(v)? 2*v Let n(b) = -3*b**3 + 5*b**2 + 5*b + 5. Suppose -2 + 4 = 5*u - 3*z, -5*z = 4*u - 9. Let w(v) = v**2 + v + 1. What is u*n(g) - 5*w(g)? -3*g**3 Let r(a) = -19*a + 1. Let y(c) = 9*c. Let s(t) = -4*r(t) - 9*y(t). Let o(j) = -5*j - 3 + 5*j - 4*j. Give 6*o(m) - 5*s(m). m + 2 Let w(y) = -2030*y - 21. Let n(z) = 203*z + 2. Calculate -42*n(t) - 4*w(t). -406*t Let s(x) = 76*x + 25. Let l(q) = -27*q - 8. Give 11*l(c) + 4*s(c). 7*c + 12 Let s(w) = w**2 - 3*w + 16. Let m(u) = -u**2 + u - 5. Determine -17*m(n) - 6*s(n). 11*n**2 + n - 11 Let y(t) = 13*t - 14 - 15*t + 12*t. Let i(x) = -2*x + 3. Suppose 0*u + 26 = u - 3*r, u - 2*r = 22. Determine u*i(m) + 3*y(m). 2*m Let h be -5 + (-10)/8 - (-6)/(-8). Let w(b) = -21*b + 3*b**3 + 7*b**2 + 35*b - 13*b + 7. Let v(g) = -2*g**3 - 5*g**2 - g - 5. Calculate h*v(x) - 5*w(x). -x**3 + 2*x Let i(x) = -159159*x - 1378. Let y(a) = -692*a - 6. Calculate 3*i(n) - 689*y(n). -689*n Let g(d) = -61*d**2 - 6*d - 9. Let l(u) = -30*u**2 - 3*u - 4. What is -3*g(f) + 7*l(f)? -27*f**2 - 3*f - 1 Let g = -18 - -66. Suppose h + g = -h. Let f = h - -25. Let l(c) = c**2 - c. Let d(m) = m**3 + 5*m**2 - 7*m. Determine f*d(o) - 5*l(o). o**3 - 2*o Let m(u) = -160*u. Let v be -4 - 1*-5*(-6)/15. Let b(q) = -7*q. Give v*m(z) + 140*b(z). -20*z Let q be 228/(-58) + (-24)/348. Let x(n) = 2*n**3 + 2*n**2 + 2*n - 1. Let c(p) = 10*p**3 + 11*p**2 + 11*p - 6. Calculate q*c(o) + 22*x(o). 4*o**3 + 2 Let t(i) = 6*i**2 - 2*i + 4. Let s(l) = 13*l**2 - 4*l + 10. Calculate -3*s(m) + 7*t(m). 3*m**2 - 2*m - 2 Let f(v) = -4*v + 5. Let s(n) be the first derivative of 2*n**2 - 4*n - 4. Let w(a) = -a**3 - 4*a**2 + a + 8. Let b be w(-4). Calculate b*f(u) + 5*s(u). 4*u Let a(n) = -7*n**3 - 3*n**2 + 2. Let q(r) = 22*r**3 + 8*r**2 - 5. Let h(o) = 3*o**2 + 7*o - 256. Let z be h(8). What is z*a(j) - 3*q(j)? -10*j**3 - 1 Let g(n) = 4*n + 2. Let i(v) = 11*v + 6. Let t = -36 + -23. Let l = 62 + t. Determine l*i(m) - 8*g(m). m + 2 Let h(n) = -5*n - 1. Let r(b) = -221*b + 2. Give -h(z) - r(z). 226*z - 1 Let s be (24/60)/((-9)/5 + 2). Let a(w) = -2*w + 3. Let p(v) = -10*v + 16. Calculate s*p(c) - 11*a(c). 2*c - 1 Let f(w) = -5*w**3 + 2*w**2 + 2*w + 4. Suppose 0 = -2*a + l + 8, 2*l = a - 3 - 7. Let n(c) = -6*c**3 + 2*c**2 + 3*c + 5. Determine a*n(x) - 3*f(x). 3*x**3 - 2*x**2 - 2 Let j(n) = 694 + 4*n**2 + 709 - 1398. Let r be 10/40 + (-38)/(-8). Let l(o) = 12*o**2 + 16. Determine r*l(p) - 16*j(p). -4*p**2 Let n(a) = -7*a**3 + 4*a**2 + 6*a - 9. Let t(u) = -8*u**3 + 3*u**2 + 5*u - 8. Calculate -5*n(x) + 6*t(x). -13*x**3 - 2*x**2 - 3 Let z(q) = -7*q + 17. Let i(d) = 16*d - 35. Determine 4*i(v) + 9*z(v). v + 13 Suppose -5*q - 73 = -3*y, -4*q = 2*y - 3*q - 40. Suppose -17*c + y = -20*c. Let m(h) = -h**2 - 2*h + 9. Let n(d) = d**2 + 3*d - 13. Calculate c*m(x) - 5*n(x). 2*x**2 - x + 2 Let i(a) = -a**3 + 5*a**2 + 2. Let p be i(5). Let r(h) be the second derivative of 17*h**3/6 + 13*h**2/2 - 233*h. Let s(l) = 4*l + 3. Calculate p*r(n) - 9*s(n). -2*n - 1 Let m(t) = 10*t**3 - 4*t**2 - 16*t - 7. Let c(a) = 3*a**2 - 22*a - 7*a**3 + 5 - 21*a + 54*a. Determine -7*c(g) - 5*m(g). -g**3 - g**2 + 3*g Let c = 1384 + -1406. Let q(a) = 3*a**3. Let d(f) = 16*f**3. Determine c*q(t) + 4*d(t). -2*t**3 Let k(q) = 2*q**2 - q + 1. Let f(s) = -742*s**2 + 318*s - 318. Calculate 2*f(v) + 636*k(v). -212*v**2 Let u(r) = 5 - 2*r**3 - 2 - 4517*r**2 + 4520*r**2. Let q(p) = -9*p**3 + 13*p**2 + 13. What is -6*q(o) + 26*u(o)? 2*o**3 Let c(j) = -153*j**3 - 3*j**2 + 3*j - 12. Let s(o) = -460*o**3 - 10*o**2 + 10*o - 40. Calculate -10*c(y) + 3*s(y). 150*y**3 Suppose 15 - 136 = 11*z. Let g(o) = -6*o**2 + 2*o - 1. Let w(k) = 17*k**2 - 6*k + 3. What is z*g(b) - 4*w(b)? -2*b**2 + 2*b - 1 Let f(d) = 2. Let v(h) = 32*h + 96. Determine -48*f(r) + v(r). 32*r Let g(o) be the second derivative of o**4/12 + o**3/6 + o**2/2 - 320*o. Let m(l) be the first derivative of -5*l**3/3 - 7*l**2/2 - 4*l - 1. Give 6*g(s) + m(s). s**2 - s + 2 Let j(u) = 2*u - 1 - 5*u + 3. Let i(m) = -3*m + 2. Suppose -3 + 43 = 4*x. Suppose -x*f + 19*f = 27. Determine f*j(k) - 2*i(k). -3*k + 2 Let b(m) = -3*m**3 - m**2 + m + 1. Let r(n) = -48*n**3 - 10*n**2 + 8*n + 10. Give 10*b(w) - r(w). 18*w**3 + 2*w Let y(g) = 2*g - 11. Let b(p) = -10*p + 56. What is -2*b(w) - 11*y(w)? -2*w + 9 Let w(q) = -166*q**2 - 2*q + 4. Let d(h) = -167*h**2 - 3*h + 5. Determine 2*d(u) - 3*w(u). 164*u**2 - 2 Let g(a) = -5*a - 5. Let j(f) = -16*f + 113. Let s be j(7). Let p(i) = -i + 1. Give s*g(n) + 5*p(n). -10*n Let d(y) = 2*y + 2. Let s(o) = 62*o + 9. Calculate 4*d(j) - s(j). -54*j - 1 Let a(k) = k**3 + 4*k**2 - 4*k - 4. Let x = 191 + -196. Let g(n) = -n**3 - 5*n**2 + 5*n + 5. Calculate x*a(c) - 4*g(c). -c**3 Let a(k) = 13*k**3 + 7*k**2 - 3. Suppose -42 + 137 = 19*j. Let r(c) = 9*c**3 + 5*c**2 - 2. Give j*a(q) - 7*r(q). 2*q**3 - 1 Let b = 391 + -387. Let u(k) = -7*k**3 + 4*k. Let w(f) = 35*f**3 - 21*f. What is b*w(a) + 21*u(a)? -7*a**3 Let m(h) = -h**2 + h + 1. Let c = -1405 - -1399. Let q(s) = 7*s**2 - 5*s - 7. Calculate c*m(x) - q(x). -x**2 - x + 1 Let s(n) = 2*n + 496. Let r(m) = m + 493. Give -3*r(o) + 2*s(o). o - 487 Let d be
{ "pile_set_name": "DM Mathematics" }
factor of 4051982? False Does 16 divide 12339? False Does 94 divide 96983? False Is 2 a factor of 952? True Is 903209 a multiple of 9? False Does 20 divide 1012880? True Is 12 a factor of 6100812? True Is 928 a factor of 15290710? False Is 272279 a multiple of 4? False Is 11 a factor of 4471610? True Is 155 a factor of 132612? False Is 1773301 a multiple of 9? False Is 307672 a multiple of 260? False Is 416 a factor of 4437056? True Does 29 divide 406696? True Does 36 divide 93312? True Is 12034572 a multiple of 519? True Is 64 a factor of 3400823? False Is 108 a factor of 18986076? True Is 27 a factor of 335529? True Does 41 divide 29844638? True Is 200 a factor of 173800? True Is 3491525 a multiple of 848? False Is 18 a factor of 3988147? False Is 5 a factor of 617823? False Is 11 a factor of 361229? True Is 10280631 a multiple of 14? False Does 91 divide 368141? False Is 11 a factor of 171421? False Does 3 divide 6564? True Is 968218 a multiple of 34? True Does 27 divide 442463? False Is 98 a factor of 171598? True Is 5630862 a multiple of 947? True Does 573 divide 29849289? True Does 14 divide 24150? True Does 42 divide 962584? False Does 36 divide 117766? False Is 2 a factor of 780038? True Is 5 a factor of 134200? True Does 4 divide 855809? False Is 930425 a multiple of 129? False Does 3 divide 32245? False Is 544670 a multiple of 434? True Is 136475 a multiple of 103? True Is 5151343 a multiple of 9? False Does 205 divide 6052420? True Is 24 a factor of 99870? False Does 14 divide 10928064? True Is 6 a factor of 598218? True Does 8 divide 45008? True Does 222 divide 228517? False Is 1243 a factor of 4945897? True Does 197 divide 4171597? False Is 273 a factor of 309855? True Does 1317 divide 4469979? False Is 92858 a multiple of 58? True Does 59 divide 1264429? True Is 108 a factor of 6781822? False Does 974 divide 6016398? True Does 70 divide 116480? True Is 1276506 a multiple of 297? True Is 71 a factor of 4409? False Is 119 a factor of 483362? False Does 1064 divide 775907? False Is 100285 a multiple of 25? False Does 18 divide 499914? True Does 16 divide 31208? False Is 140 a factor of 148400? True Is 26727548 a multiple of 801? False Does 53 divide 941916? True Is 21 a factor of 95442? False Does 437 divide 1453462? True Is 37970 a multiple of 241? False Is 808 a factor of 575296? True Is 68135 a multiple of 34? False Is 4493651 a multiple of 47? False Is 26 a factor of 69394? True Is 1207800 a multiple of 5? True Is 239 a factor of 175853? False Is 3 a factor of 44? False Does 150 divide 433264? False Does 3 divide 110947? False Is 553 a factor of 85715? True Is 7523370 a multiple of 5? True Is 1159710 a multiple of 258? True Does 6 divide 4152750? True Does 56 divide 5330920? True Is 11 a factor of 135058? True Does 13 divide 1614989? False Is 387434 a multiple of 614? True Does 16 divide 349066? False Is 236 a factor of 143252? True Is 7 a factor of 245091? True Does 44 divide 270024? False Is 7336 a multiple of 13? False Does 26 divide 574346? False Does 80 divide 549770? False Does 98 divide 808500? True Is 39 a factor of 1369173? True Is 21 a factor of 6670125? True Is 759690 a multiple of 11? False Is 164 a factor of 3791680? True Does 89 divide 1535428? True Does 48 divide 132547? False Is 12839010 a multiple of 30? True Is 1122146 a multiple of 21? False Is 468802 a multiple of 157? True Does 25 divide 4753275? True Does 33 divide 2053183? False Does 68 divide 1564617? False Is 225097 a multiple of 48? False Is 91 a factor of 285194? True Does 35 divide 358040? False Is 48 a factor of 10643998? False Does 37 divide 37148? True Does 32 divide 4829159? False Is 355676 a multiple of 362? False Is 458887 a multiple of 20? False Is 291 a factor of 31137? True Is 18 a factor of 30026? False Is 77 a factor of 529357? False Is 21 a factor of 10797591? True Is 61 a factor of 3024197? True Is 71 a factor of 3498454? True Does 8 divide 344096? True Is 3410546 a multiple of 273? False Does 4 divide 102408? True Does 40 divide 123080? True Is 791420 a multiple of 7? True Does 3 divide 165901? False Does 567 divide 1091475? True Is 45537 a multiple of 353? True Is 58326 a multiple of 3? True Is 646786 a multiple of 7? True Is 4750174 a multiple of 826? False Does 17 divide 2349995? True Is 204 a factor of 4336056? False Is 93456 a multiple of 72? True Does 488 divide 9093392? True Does 7 divide 1064896? True Is 8 a factor of 774056? True Does 82 divide 15826? True Does 42 divide 9072210? True Is 171020 a multiple of 340? True Is 609781 a multiple of 5? False Is 306 a factor of 5112536? False Is 232110 a multiple of 94? False Is 4750 a multiple of 12? False Does 13 divide 9548? False Is 10717366 a multiple of 30? False Is 3 a factor of 18792? True Does 34 divide 602616? True Is 990 a factor of 184620? False Does 99 divide 106128? True Does 75 divide 6075890? False Is 131 a factor of 14114070? False Does 103 divide 203820? False Is 70 a factor of 346850? True Does 6 divide 153492? True Is 64 a factor of 572672? True Does 645 divide 288315? True Is 30 a factor of 879844? False Does 32 divide 63840? True Does 3 divide 110933? False Is 1741448 a multiple of 5? False Is 143 a factor of 12869142? True Is 266893 a multiple of 339? False Is 124 a factor of 247790? False Does 25 divide 258525? True Is 39 a factor of 1887093? True Is 1846976 a multiple of 1071? False Is 27 a factor of 818539? False Is 1750952 a multiple of 14? True Is 641 even? False Does 68 divide 15164? True Is 2932488 a multiple of 676? True Is 609868 a multiple of 20? False Is 1982124 a multiple of 376? False Does 44 divide 78320? True Is 769012 a multiple of 17? True Is 525500 a multiple of 500? True Is 89872 a multiple of 41? True Is 75 a factor of 224475? True Is 17280524 a multiple of 1882? True Is 42290 a multiple of 7? False Does 210 divide 229110? True Does 6 divide 145885? False Is 287070 a multiple of 105? True Does 64 divide 551296? True Is 220934 a multiple of 40? False Does 349 divide 205647? False Is 1088144 a multiple of 752? True Is 46 a factor of 1039004? False Is 1121344 a multiple of 14? True Is 25 a factor of 26952? False Is 14568 a multiple of 6? True Is 265096 a multiple of 13? True Does 48 divide 279857? False Does 88 divide 3084063? False Is 46367 a multiple of 11? False Does 786 divide 1722912? True Does 28 divide 235480? True Is 262191 a multiple of 120? False Is 7482354 a multiple of 11? True Is 7147744 a multiple of 94? False Does 190 divide 4081770? True Is 874827 a multiple of 22? False Is 194373 a multiple of 313? True Is 49569 a multiple of 403? True Is 1453286 a multiple of 886? False Is 607920 a multiple of 12? True Is 204711 a multiple of 48? False Does 191 divide 508060? True Is 10 a factor of 3484001? False Is 116 a factor of 149072? False Is 5753975 a multiple of 51? False Is 3744381 a multiple of 859? True Does 37 divide 358437? False Is 326680 a multiple of 40? True Does 4 divide 74759? False Is 595913 a multiple of 955? False Is 262375 a multiple of 25? True Is 615441 a multiple of 757? True Does 89 divide 342803? False Is 718 a factor of 5326124? True Is 115 a multiple of 68? False Is 4478122 a multiple of 319? True Is 176115 a multiple of 5? True Is 28 a factor of 58632? True Does 220 divide 4820200? True Is 932 a factor of 2954440? True Does 4 divide 429574? False Is 70337 a multiple of 32? False Is 6856650 a multiple of 18? True Is 8 a factor of 3918? False Does 449 divide 7856? False Is 1502140 a multiple of 10? True Is 1313724 a multiple of 498? True Is 27 a factor of 171115? False Does 22 divide 29106? True Is 21756 a multiple of 294? True Does 6 divide 1679? False Is 275652 a multiple of 468? True Is 242 a factor of 439714? True Is 7483457 a multiple of 1691? False Is 94 a factor of 1384150? True Is 19 a factor of 1760901? True Does 357 divide 109956? True Is 33 a factor of 522786? True Is 175 a factor of 592762? False Does 34 divide 108018? True Is 878902 even? True Is 449 a factor of 439122? True Does 17 divide 32844? True Is 99434 a multiple of 75? False Is 94333 a multiple of 17? True Does 3 divide 147? True Is 8 a factor of 21136? True Is 140760 a multiple of 15? True Is 26 a factor of 389818? True Is 10 a factor of 921
{ "pile_set_name": "DM Mathematics" }
ulate ((-105)/105 - (-1 - (-1)/(-1)))/(3/321). 107 Evaluate ((4/(-30))/(1640/66420))/((9/150)/1). -90 (-1062)/(-2691) - ((-141911)/(-15617) - 6*(-6)/(-4)) 4/13 What is (8959/124 - 70)*(-80)/12? -15 Evaluate ((-45)/(-10) - (14 - 2169/234))*(-20)/6. 10/13 What is the value of 1244/(-26) - 2284/14846? -48 What is the value of (5 - (-4 - -25))*(6039/244 + -32)? 116 What is (-1994657)/(-21265)*10/(-14)? -67 (-6)/14*((-102)/(-15))/((-3516)/10255) 17/2 (-7641)/54270 + 360/2700 -1/134 (1820/208)/(196/(-224)) -10 Calculate (((-12)/(-164))/3)/((92/(-414))/((-6)/(-9))). -3/41 11 - (1679464/151050 - (-4)/(-38)) -1/75 Calculate 174/886240*32*(33/(-55) + 102/45). 2/191 Evaluate (-63)/((-9261)/42) + (-281)/28. -39/4 (346/(-1211))/(26/(-14)) + 3 + 2115/(-650) -1/10 What is 15/(-243)*(-141)/564*(-24)/(-5)? 2/27 Evaluate 2 + 53/(-33) + 0 - (-872)/(-2616). 2/33 What is the value of (396321/(-646))/(-409) + ((-14)/10)/((-2)/(-2))? 1/10 What is (0 - 133) + (-88 - (-1 + -61) - -52)? -107 Evaluate 61880/18330 - ((-12)/141)/(-2). 10/3 (-3 - 442/(-4)) + -1244 + 1227 + 54/4 104 What is 76 + ((-61)/(-61) - 16)? 61 What is the value of (((-1398720)/1974)/496)/(1 - 1 - 1/14)? 20 Calculate (-699)/8621 - (-9750)/(-222). -44 39 + (-2484)/54 - -47 40 What is -2*5/(-920)*20*12/(-10)? -6/23 What is (49/(-315))/(-50 + (-34408)/(-690))? 7/6 What is (-2)/(-4) + 3130/(-1252) - 93? -95 ((-36)/66)/((3920/330)/14) -9/14 Calculate ((-8)/92 - (-437)/(-1058))/(((-2937)/12)/11). 2/89 What is (-1 - (-34 + -1334)/(-19)) + 9? -64 Evaluate (-7)/(35/(-75)) - (-33540)/(-516). -50 What is the value of 66 - 1736/31 - -13? 23 (-14)/42 + (-1372)/(-21) - (-18 + (-10 - -17)) 76 Calculate (24*(-17)/((-1377)/(-18)))/(218/4251). -104 What is (4/5)/(15 + (-215)/(-25))? 2/59 What is (-1392)/(-16) + -37 - 12? 38 Calculate -55 - (178600/(-114))/25. 23/3 (17 + (-3270)/180)/(1225/(-1155)) 11/10 Evaluate (321 + (-440804)/1372)/((1012/(-14))/2). 2/253 What is the value of 4*(-3)/(-4) - ((-13857)/(-775) - 15)? 3/25 What is the value of (-3794592)/56608 + (6 - -61)? -2/61 What is (45/12)/((-147)/14*(-17)/(-2380)*-20)? 5/2 Calculate ((-59)/11)/((-4)/44). 59 What is (5/30)/((4 - -6)/(-40)*42)? -1/63 What is 2*41/(4100/(-1550))? -31 What is the value of 34 + (-11165)/(-15950)*(1 + -2 - -11)? 41 What is the value of (135/396*-11)/((-35)/4)? 3/7 What is 13 + ((-936)/(-45))/13*150/(-60)? 9 What is the value of ((-694363)/34149)/(2/(-3)*(2/(-4) - -1))? 61 What is the value of (((-7980)/455)/57 - 2079/(-6630))/((-1)/(-5))? 1/34 What is the value of (-2)/11 - (20/(-6))/(49280/(-1239168))? -84 Calculate (8 + 638/(-55))*(-25)/(-20) + 17776/3168. 10/9 Evaluate ((-75)/125)/(678/20*(38 - 37)). -2/113 What is (21/1190)/(33/55)*1? 1/34 Evaluate (96/(-1120) + (-19)/95)*(-14)/(-248). -1/62 Calculate (-1)/60*7754 - 1144/(-858) - (-3)/(-30). -128 (-1950)/(-819)*15 - 10/(-20)*(-4)/(-7) 36 What is (180/1620)/(63/81)? 1/7 Evaluate -6*((-368)/(-26082))/4*14/(-4). 2/27 (-103 - -98)*12*6/(-60) 6 What is ((-22172)/1205)/((-8)/10 + -5 + (-78)/(-13))? -92 What is 104/5668*3/6? 1/109 Evaluate (-360 + 315)*(792/(-135))/22. 12 Evaluate 390660/(-875160) + 2/(-132). -6/13 Calculate -7*(-5 + (-155)/(-25))/((-994)/(-1420)). -12 Calculate ((-735)/5390)/((-222)/504 + (-1)/(-3)). 14/11 What is ((6/(-375))/(114/(-95)))/((-5)/(-15))? 1/25 ((-274)/2)/((-73 - -49) + 25) -137 Calculate -1*39/((-1794)/(-874)). -19 Calculate 918/54 + -43*(-330)/(-840). 3/28 What is (-6)/105 - -21*1779/(-2205)? -17 (-1820)/(-2275)*(-45)/408 -3/34 What is -22 + 8/(-36) + (-12138)/(-189)? 42 (6/(-77))/((-420)/(-392)) + 30/110 1/5 55917/2289*(-48)/152 -54/7 Calculate (-29)/(-21) + 713/69 + -12 - 2060/(-6965). 2/199 What is 8/(-15)*((-8425859)/42984 + 196)? 1/81 What is the value of (4620/8085)/(-3 + 212/84)? -6/5 (-1108)/(-17728) + ((-911)/(-16) - -1) 58 What is the value of (41 - -47 - 0)/(-1*10)? -44/5 What is ((-7245)/(-140) - 54)*40/750? -3/25 Calculate 44 + (171/27)/(-5 - -8) + (-40)/36. 45 Evaluate (-17 + 8)*(28 - (-32 + (-860)/(-18))). -110 What is the value of (55 + -52)*(1 + -2) + 11 - 52? -44 What is (-78)/(-9633)*38 - (-1975)/(-39) - (-65)/5? -112/3 Evaluate -5 + (14 - (23 + (-195)/26)). -13/2 (43/((-424711)/102))/(42/(-98)) 2/83 What is (420/72 + (-28)/21)/(39/364)? 42 What is ((-119)/1309)/((-25)/(-165))? -3/5 Evaluate (0/(-7))/(-2) + ((-24800)/416 - -59). -8/13 3234/1176 - ((-338)/(-8))/(-13) 6 Calculate ((-186)/(-8))/(141/188). 31 Evaluate 3651/153 - 5 - (-82 + 99) - (-10)/6. 60/17 Evaluate (70*(-176)/(-1210) - (11 - (-3 + 4)))/(-3). -2/33 Calculate (-6)/621*-9 + -298*(-8)/92. 26 Evaluate (-6 + 0)/(((-805)/(-184))/(1 + 41/(-36))). 4/21 Calculate (-3 - -6)/((-34713)/(-2394)). 6/29 Calculate 28/(-34)*489/(-2282). 3/17 Evaluate (3 - (-320)/48)/((-36)/(-216)). 58 (-129536)/(-1792) + -72 - 3/(168/163) -21/8 What is the value of -257 + 130 - -141 - 2*149/22? 5/11 Evaluate (133824/3520)/(-51) - 1/(-55). -8/11 What is ((-27)/(-459) - (-1067)/14586*2)*(1 - 4)? -8/13 Calculate 1220/(-8)*52/(-130). 61 ((-9452)/1428)/139*(-183 - -1) 26/3 Evaluate (8 + 4/30 + 7124/(-780))*9/48. -3/16 Calculate ((-432)/42 - -5 - 58/(-203))*-8. 40 What is the value of 2/(-11) - -1173*(-63)/3927? -19 Evaluate (2 + 9 - (-10082)/(-852))/(5/21). -7/2 Calculate ((-584)/(-36500))/(319/(-725)). -2/55 Calculate (-6)/10*195040/10176 - (0 + -7). -9/2 What is (-15)/25 + 0 + (-3237)/(-195) - (-110)/1? 126 Calculate (-6095)/207 + 40 - 11. -4/9 What is (280/(-8330))/((-90)/105)? 2/51 100/(-36) - (-168)/(-756) - -33 30 Evaluate (-1)/6*26*(117 + 9312/(-80)). -13/5 Evaluate -53 + (-324 - 28)/(-11). -21 What is ((-6)/(-60) - 812/280)/((-2)/(-80)*-2)? 56 What is the value of 62 + -12 + -41 + 1*(1 + -37)? -27 Calculate (-206)/26471 + 27748/(-1028). -27 Evaluate 45/18 - ((-321)/54 - 128/(-288)). 8 Calculate ((-10033)/(-395) + -26)*(-3 - -19)*2/12. -8/5 Calculate (15*(-4)/(-140)*(11 + (-704)/33))/1. -31/7 What is the value of (-2074)/(-183) - 1717/(-51)? 45 What is the value of 1/(-27)*5283/5870*8? -4/15 (-29)/(1392/36) + 688/64 + 174/(-15) -8/5 Calculate 7/(-1) - 40/(-21)*(755 + -752). -9/7 Evaluate (96942/(-1359))/(24/(-9)) + -27. -1/4 Calculate 56/((-5040)/(-135)) - 438/(-12). 38 What is the value of 2090/50160*(-4 + 4 + -5)? -5/24 -6*235/180*6 - (-35)/(5/1) -40 Calculate (-426)/(-72) + ((-7557)/396 - -19). 35/6 Calculate ((74/111)/(20/6))/(656/(-8200)). -5/2 Evaluate (282 - 320) + 3 + 8. -27 What is (-151)/4 - ((-1856)/(-1280) - 42/35)? -38 Calculate 91/((-29848)/(-2091))*36/102. 9/4 Calculate 1026/(-95)*(1644/(-252) + 7). -36/7 Evaluate (5/(-8)*(-136)/204)/(12/(-72)). -5/2 Calculate ((-2491104)/(-166320) + 70/(-9))*(-8)/(-90). 16/25 560/128*(-27)/189 + 68/32 3/2 What is (13824/(-2592))/(20/12)? -16/5 Calculate (6319/(-58149))/89*-21. 1/39 Evaluate (64 - (-53508)/(-1014)) + 3/(-13). 11 Calculate ((-1496)/429 - (-148)/962)*186/(-10). 62 (18/18)/((-465)/(-40) + -11) + 3*1 23/5 What is ((-108)/(-630) - (1 - 1))/((-1722)/4018)? -2/5 What is 722/3610*(-10)/54? -1/27 Calculate 309/(-27) + 21 + -9. 5/9 Evaluate (-4)/10 - (53/((-7420)/(-3024)) - -12). -34 Calculate (-16)/(-12)*31170/400 - ((-4862)/220 + 22). 104 Calculate 1196/(-138)*((-78)/416)/((-2)/8). -13/2 -22 - ((-46)/(92/1185))/27 -1/18 Evaluate ((15 + -14 + -10)/(-15))/(1/(-30)). -18 What is the value of 209/(-66) + -2*(-13 - (-351)/26)? -25/6 Evaluate (-61 + 27740/456)*3/(-8)*(-4 - -130). 63/8 Calculate ((-32)/(-10))/((-2)/(-5)*1030/1545). 12 Evaluate 2 - 2056/136 - (16 + (16 - -4) + -49). -2/17 What is the value of (-2)/(-7) + ((-359529)/(-1148))/37? 35/4 What is 1320/1045 - 92250/39729? -18/17 (13/(3367/(-2)))/(3*(3024/147 - 21)) 2/333 What is -25 - (-1998)/(-702)*-13? 12 992/20*(-113)/(41132/(-455)) 62 Calculate -46 + 21 + 44 + -10 + 52 + -3 + -3. 55 ((-4)/(-544)*4)/(-1172 + 1170) -1/68 Calculate (-4902)/(-7904) - 29/(-1856)*-20. 4/13 What is (306/6 - 47)*(-522)/(-24)? 87 Evaluate (-147)/(-189)*(20/30)/((-14)/(-6)). 2/9 What is the value of (-47)/658*(-12)/6 - (-310)/(-14)? -22 -6*((-2)/(-15))/((18180/(-12825))/(-101)) -57 Calculate -4 + 5312/59 - (15 + 24724/(-1652)). 86 (2 + (-20)/15)/(((-12)/(-27))/((-650)/75)) -13 What is the value of 1/(((-13)/(-143))/((-26)/10582))? -1/37 What is (-30)/(-7) + 168/(-970200)*21075? 7/11 Calculate ((-837)/(-155) - -69
{ "pile_set_name": "DM Mathematics" }
l**3 - 104188? -6815160*l**2 What is the second derivative of -261244*t**3 - t - 306990? -1567464*t Find the third derivative of 2*i**6*j + 29*i**3*j - 1153*i**3*y**2 - 158*i**2*j*y + 87*i**2*j + 26*y**2 wrt i. 240*i**3*j + 174*j - 6918*y**2 What is the third derivative of 266985*f**3*g**4 + f**3*g**2 + 19*f**3 - 5*g**4 + 4920*g**2 wrt g? 6407640*f**3*g - 120*g What is the derivative of -247091*r**3 - 425782 wrt r? -741273*r**2 Find the first derivative of j**3*x**2 - 5*j**3 + 165*j**2 + 16*j*x**2 + 15*j + 988*x wrt x. 2*j**3*x + 32*j*x + 988 Differentiate 2933017*d**3 - 1621249. 8799051*d**2 What is the second derivative of 136871*l**3 - l**2 - 62071*l - 1? 821226*l - 2 What is the derivative of -247675*i**3 - i**2 - 1324159 wrt i? -743025*i**2 - 2*i What is the third derivative of 5*l**6*o + 169*l**6 - 3*l**3*o + 10*l**2 - 77*l*o - 17 wrt l? 600*l**3*o + 20280*l**3 - 18*o What is the second derivative of -694216*a**3*m**5 - 3*a**3*m - 5*a**2*m + 1128*a**2 - a wrt m? -13884320*a**3*m**3 Find the third derivative of -29608*f**3 + 49287*f**2. -177648 What is the first derivative of 339244*r*v - 2*r - 154579*v wrt r? 339244*v - 2 What is the derivative of 7*i**2*t + 76829*i*t**2 - 1200087*t**2 wrt i? 14*i*t + 76829*t**2 Find the first derivative of -1648102*n**2 + 1981056. -3296204*n Differentiate 8*g*p**3*q + 9660*g*p**2 - 3*g*p*q - 2428*p**3 + 190*p*q wrt g. 8*p**3*q + 9660*p**2 - 3*p*q Find the first derivative of -l*r**2 + 20*l*r - 13*l - 3*r**2 + 14*r - 525 wrt r. -2*l*r + 20*l - 6*r + 14 Differentiate -2023*b**2*z + 2238840*b**2 + 23*z**2 with respect to z. -2023*b**2 + 46*z What is the third derivative of -3*m**4*u - 61*m**4 + 4*m**3*u - 63303*m**2*u wrt m? -72*m*u - 1464*m + 24*u What is the second derivative of k**2*m**3*r + 48400*k**2*m**2*r**2 - 7*k**2*m*r + k**2*m - 495*k**2*r**2 + 2*m*r**2 wrt m? 6*k**2*m*r + 96800*k**2*r**2 What is the second derivative of 563*i**5 - 6*i**4 - i**2 + 205*i + 3523 wrt i? 11260*i**3 - 72*i**2 - 2 What is the third derivative of -12630*p**5 + 8*p**4 - 177439*p**2? -757800*p**2 + 192*p What is the third derivative of -825246*d**6 - 13*d**2 + 5071*d - 2 wrt d? -99029520*d**3 What is the derivative of -23159*c**2 - 2*c + 21692? -46318*c - 2 Find the third derivative of -1652572*n**5 + 1444713*n**2 wrt n. -99154320*n**2 What is the derivative of 15679*h**2 + 8*h + 97033 wrt h? 31358*h + 8 Find the second derivative of -54*h**5 + 52*h**3 - h**2 + 2*h - 163802. -1080*h**3 + 312*h - 2 What is the third derivative of -14964*b**5 + 7*b**3 + 21045*b**2 - 5? -897840*b**2 + 42 Find the third derivative of 1446*b*y**3 - b*y**2 + b*y + 68*y**3 + y**2 - 85*y - 1508 wrt y. 8676*b + 408 Differentiate 2*u**4 + 72*u**2 + 69*u - 98194 wrt u. 8*u**3 + 144*u + 69 What is the second derivative of -28*k*r**3*w**2 + k*r**2*w + 802*r**3*w**2 - 56*r**3*w - r**3 - 8*r*w + 2*w**2 + 2*w wrt w? -56*k*r**3 + 1604*r**3 + 4 Differentiate 89*n**3 - 2*n**2 - 139*n + 104806. 267*n**2 - 4*n - 139 Find the third derivative of 18*b**6 + 114*b**5*c**3 + 2*b**2*c**3 + 17*b**2*c - 151*b*c wrt b. 2160*b**3 + 6840*b**2*c**3 Differentiate 1040*j**2*z**3 + 2*j**2*z**2 - 2353*j**2 - 13*j + 6*z with respect to z. 3120*j**2*z**2 + 4*j**2*z + 6 Find the second derivative of -440*u**4 + 32*u**3 - 16*u**2 + 458488*u wrt u. -5280*u**2 + 192*u - 32 Find the third derivative of 290*m**5 - 63*m**4 + 3733*m**2 - 3*m. 17400*m**2 - 1512*m Differentiate -189*s**2*z - 40732*s**2 - 69*s*z + 2*z with respect to z. -189*s**2 - 69*s + 2 Differentiate 2087903*l + 513284 wrt l. 2087903 Find the third derivative of 1827*a**2*x**3 - 12*a**2*x + 703*a*x**2 - 26*x**3 - 16*x wrt x. 10962*a**2 - 156 What is the derivative of -2607774*u**2 - 503766 wrt u? -5215548*u Find the second derivative of 896*y**3 - 127*y**2 - 160211*y wrt y. 5376*y - 254 What is the third derivative of 2*t**3*y**2 - 23*t**3*y + 2003*t**3 - 2*t**2*y**2 + 1143*t*y**2 + 70*y**2 wrt t? 12*y**2 - 138*y + 12018 Find the second derivative of 2*w**4 + 23*w**3 + 66*w**2 - 208551*w wrt w. 24*w**2 + 138*w + 132 Find the first derivative of 35*p**2*w - 303*p**2 - p*w - 197633*w wrt p. 70*p*w - 606*p - w Find the third derivative of -1681*n**6 - n**4 + 63576*n**2 + n wrt n. -201720*n**3 - 24*n What is the third derivative of -2162*a*s**4 + 33*a*s**2 + 132*a*s + 3*a + 8*s**6 - s**4 wrt s? -51888*a*s + 960*s**3 - 24*s Find the third derivative of 5220854*a**3*f**5 - 3*a**3*f**2 - 4*a*f**2 + f**2 + 3*f + 44 wrt f. 313251240*a**3*f**2 What is the second derivative of w*z**3 - 143255*w*z**2 + w*z + 5*w - z**2 - 220*z + 1 wrt z? 6*w*z - 286510*w - 2 What is the second derivative of 16*k**3*v**3 + 24200*k**3*v - k**3 + 589*k**2*v**2 - 3*k**2*v - 13*k*v**3 + 2*k*v wrt v? 96*k**3*v + 1178*k**2 - 78*k*v What is the second derivative of -45*v**4 + 2*v**3 - 208*v**2 - 295*v - 6376? -540*v**2 + 12*v - 416 What is the second derivative of f*m**4 + 177*f*m + 3319*f - 651581*m**5 wrt m? 12*f*m**2 - 13031620*m**3 What is the third derivative of -133161*s*w**3 - 8*s*w**2 + 3*s*w + 413*s + w - 7 wrt w? -798966*s Find the second derivative of 43444*l**2*y**3 + 2*l*y**2 - 46*l*y + 5*y**3 + 3 wrt l. 86888*y**3 What is the second derivative of 3355*k**4*w**3 + 40*k**4 + 5*k*w**3 + 55*k*w - 2*w**3 - 3 wrt k? 40260*k**2*w**3 + 480*k**2 What is the derivative of 853*v**2 - 48*v - 73657? 1706*v - 48 What is the first derivative of 870135*r*t - 400085*t wrt r? 870135*t Find the second derivative of -4*h**5 - 2639*h**3 + 2*h**2 - 28*h - 4644. -80*h**3 - 15834*h + 4 What is the second derivative of 118888*b**2 + 139773*b wrt b? 237776 What is the third derivative of -385*w**6 - 173*w**5 - 2*w**3 - 78*w**2 + 9716*w wrt w? -46200*w**3 - 10380*w**2 - 12 Differentiate -3*w*x**2 - w*x + 33234*w + 2*x**2 - 142*x wrt x. -6*w*x - w + 4*x - 142 What is the first derivative of 2133410*i + 22062 wrt i? 2133410 What is the first derivative of -10855*m**2*x - m**2 + 22*x**3 - 59324 wrt x? -10855*m**2 + 66*x**2 What is the third derivative of -28*c**5*u + 1665*c**3*u - c**2*u - 775*c**2 + 21*c*u wrt c? -1680*c**2*u + 9990*u Find the first derivative of -2071826*w**4 + 1549865. -8287304*w**3 Find the third derivative of -490323*g**4*s**3 + 1359025*g**2*s**3 - 2*g*s**3 wrt g. -11767752*g*s**3 Differentiate 1101*a*m - 56158*a - 2*m**2 + 12*m with respect to m. 1101*a - 4*m + 12 Differentiate 4*b**2*h + 7*b**2 - 612*b*h + 122*b + 2*h wrt h. 4*b**2 - 612*b + 2 What is the second derivative of -2*s*z**4 + 245504*s*z**3 - 2*s*z**2 - 3*s*z + 41*s + 94*z wrt z? -24*s*z**2 + 1473024*s*z - 4*s Find the third derivative of 799542*j**6 + 82722*j**2 wrt j. 95945040*j**3 Find the third derivative of -1097683*f**3*x + 2*f**2*x - 589098 wrt f. -6586098*x Find the second derivative of -969165*z**3 + 7*z + 123339. -5814990*z What is the second derivative of -13904*j**2*l**2 - 3*j**2*l - j**2 - j*l**2 + 2*j*l + 133*j + 65*l**2 wrt j? -27808*l**2 - 6*l - 2 Find the second derivative of -f**2*x**2 + 18*f**2*x + 3*f**2 + 165*f*x**2 - f*x - 6*x**2 + 35*x wrt x. -2*f**2 + 330*f - 12 Find the third derivative of -1135247*k**3 + 1067689*k**2. -6811482 Differentiate 880*c**4 - 1176*c**3*l + 9*l - 16604 with respect to c. 3520*c**3 - 3528*c**2*l What is the derivative of -7221*d**3*h*r + d**3 - 4*d**2 + 3*d*h*m*r - 2*m*r - 2*m + 31566 wrt h? -7221*d**3*r + 3*d*m*r What is the second derivative of 6233*h**3 - 22581*h wrt h? 37398*h Differentiate 22248*p**2 - 59*p + 498677 with respect to p. 44496*p - 59 Find the third derivative of 221*k*x**4 + 2*k*x**3 - 3*k*x**2 + k*x + 2*k - 42*x**4 - 983*x**2 wrt x. 5304*k*x + 12*k - 1008*x What is the third derivative of 11*v**4 + 8928*v**3 + 20661*v**2 - 5? 264*v + 53568 Find the third derivative of 9*o**6 - 8*o**5 - 379*o**3 - 312948*o**2 wrt o. 1080*o**3 - 480*o**2 - 2274 What is the first derivative of -72*g**3*v + 69*g**3 - 2*g**2*j*q*v - 11*j*q*v + j*q - 74*j wrt v? -72*g**3 - 2*g**2*j*q - 11*j*q What is the derivative of 592*w**4 - 117*w**2 - w + 706384? 2368*w**3 - 234*w - 1 What is the third derivative of -298528*j**3 + 686*j**2 - j - 8? -1791168 What is the third derivative of -72*b**3*p*t**2 + b**3*p*t + 186*b**3*t - 2*b**2*p*t**2 - b**2*p*t + 35*b**2 - 3*b*t**2 + b wrt b? -432*p*t**2 + 6*p*t + 1116*t Find the first derivative of 10
{ "pile_set_name": "DM Mathematics" }
8949 - 24032443. Let b = -21226406.99929 + y. Let v = 99 - b. Round v to four decimal places. -0.0007 Suppose -3*m - 11685 = -3*n, 4*n + 8430 - 610 = -2*m. Round m to the nearest ten thousand. 0 Let v = -1027.6 + 1143. What is v rounded to the nearest ten? 120 Let h(w) = 7900002*w - 2. Let z be (-9)/(-6)*8/12. Let p be h(z). What is p rounded to the nearest 1000000? 8000000 Let i = 0.21 + -2.61. Let s = i - -17.6. Let n = -15.199931 + s. Round n to five dps. 0.00007 Let a = -30561 + 30558.9999. Let b = 2 + a. What is b rounded to five decimal places? -0.0001 Suppose -2*p + 296985 = 3*y, -3*p = 9*y - 8*y - 445495. Round p to the nearest ten thousand. 150000 Let s = -7842 + 7841.9992958. Round s to 5 dps. -0.0007 Let g = -109 + 113. Let s = 8 - 6. Suppose -2*k = -s*b - 16792, b = -k - g*k + 42004. Round k to the nearest one thousand. 8000 Let g = -2059.351 + 2058.7510085. Let f = g + 0.6. What is f rounded to six decimal places? 0.000009 Let k = -66.699733 - -66.7. Round k to four decimal places. 0.0003 Let a = -22247 + -45053. Round a to the nearest ten thousand. -70000 Let q be 2 - (0 + 4 - 6). Suppose -5*t = -5, -289146 = -7*g + q*g + 3*t. Suppose g = 7*c - 7917. Round c to the nearest 1000. 15000 Let c = 132 - 114.4. Let b = c + -0.6. Let k = -17.00000002 + b. Round k to 7 dps. 0 Let l = -227166 - -227110.9961. Let d = -55 - l. What is d rounded to three decimal places? 0.004 Let f = -603.0010422 + 603. Round f to five decimal places. -0.00104 Let w = 337.9631 - -0.0369. Let k = 0.048579062 - -337.952810938. Let q = w - k. What is q rounded to four dps? -0.0014 Let r = 67.6 + -80.64. Let n = r - -12. What is n rounded to 1 dp? -1 Let j = -348.999493 + 349. Round j to four dps. 0.0005 Let u = -21.66 + 20.429. Round u to 1 dp. -1.2 Let u = 97 - 96.59. Let f = 0.41092 - u. What is f rounded to 4 dps? 0.0009 Let q = 232.409 - 199.3208. Let l = -0.0118 - q. Let r = -35 - l. Round r to the nearest integer. -2 Let c be 383025/(-2)*184/(-69). What is c rounded to the nearest ten thousand? 510000 Let g = 187 - -94. Let h = g + -280.321. What is h rounded to 2 dps? 0.68 Let r(y) = -2959*y**2 - 26*y - 46. Let q be r(-2). What is q rounded to the nearest one hundred? -11800 Let z = 30.37 - 30.372798. Round z to four dps. -0.0028 Let t = 1420 + -1420.0000001167. Round t to seven decimal places. -0.0000001 Let h = 0.086 - -61.914. Let r = 62.0000305 - h. Round r to six dps. 0.000031 Suppose 0 = -x + 1, -j - 3*x - 17 = -6*j. Suppose -j*d - 4791606 = -1511606. Round d to the nearest one hundred thousand. -800000 Let m = -85.8 + 8.8. Let a = 71.7 + m. Let j = 1.9 - a. Round j to zero dps. 7 Let u(h) = 106389*h**2 - 9*h - 58. Let x be u(-6). Round x to the nearest one million. 4000000 Suppose b + 4*s = 31200012, -5*s + 79922877 = 5*b - 76077138. Round b to the nearest one million. 31000000 Let f = -13.89 - -14. Let o = 54.894 - 55. Let a = o + f. Round a to 2 dps. 0 Let v(g) = -g**3 - 9*g**2 - 8*g - 12. Let l be v(-8). Let z be -105 - l - (2 + -5). What is z rounded to the nearest 100? -100 Let u = 39 - 29. Let j(k) be the second derivative of -8*k**3/3 + 10*k**2 - 2*k. Let s be j(u). Round s to the nearest one hundred. -100 Let v = 295 + -272. Let u = 3052249.99991 - 3052227. Let n = u - v. What is n rounded to five decimal places? -0.00009 Suppose 4*g - 37715 - 59473 = 0. Suppose d - g = -134297. Round d to the nearest 100000. -100000 Suppose 0*z - 3 = 2*z - 3*c, -z + c - 1 = 0. Let v = -5 - z. Let i = v - -9. Round i to the nearest ten. 0 Let c = 38522 - 38534.0055. Let z = c + 12. What is z rounded to three decimal places? -0.006 Let o = 1.544 - 1.5438814. What is o rounded to five decimal places? 0.00012 Let g = -19 + 18.512. Let i = -0.487711 - g. What is i rounded to four decimal places? 0.0003 Suppose -447 = -5*t + 1378. Let d = t + -617. What is d rounded to the nearest ten? -250 Let m = 11.611 - -1.249. Round m to zero decimal places. 13 Let p = 42.7 - 45. Let b = 1.01 + p. Round b to one dp. -1.3 Let c = -63 + 41. Let x = 22.014 + c. Round x to three decimal places. 0.014 Let g = 9671.474786 - 9846.4752. Let v = 175 + g. Round v to four decimal places. -0.0004 Let j = -0.069 + 0.439. Let h = 0.234 + j. Let v = -0.5 + h. Round v to two decimal places. 0.1 Let l = 44552 - 83152. Round l to the nearest one thousand. -39000 Suppose 0 = 5*k - 586971 - 212799. Let u = k - 23974. Suppose 4*v - 4*c = u, -v + 217 = -5*c - 33758. Round v to the nearest 10000. 30000 Let n = 0.75 + -0.4. Let f = 0.95 - n. Let y = f + 5.8. Round y to 0 dps. 6 Let w = -46.1 + 125.1. Let d = 254.4 - 175.73. Let t = w - d. What is t rounded to 1 dp? 0.3 Let s = -19.36317 + 13.56264. Let n = 212.8 + -207. Let a = s + n. Round a to 4 decimal places. -0.0005 Suppose 0 = -k - 0*k - 2. Let y = 2 - k. Let g be (11*y)/(6/225). What is g rounded to the nearest 100? 1700 Let l = 2393 - 2392.9998571. What is l rounded to 6 dps? 0.000143 Let u = -147 - -146.999999492. What is u rounded to 7 decimal places? -0.0000005 Let v be (9 - (-15)/4)/(6/88). What is v rounded to the nearest ten? 190 Let s = 254 - 162. Let t = 91.83 - s. Round t to one dp. -0.2 Let w = 16606 - 42006. What is w rounded to the nearest ten thousand? -30000 Let o = -0.316 + 0.37. Let a = 0.0555 - o. What is a rounded to three dps? 0.002 Let f = 231.012 - -4.458. Let j = 219.4 - f. Let i = j + 16. Round i to 1 decimal place. -0.1 Let t = 78 - 188. Let g = 7.21 - 107.81. Let j = t - g. What is j rounded to 0 dps? -9 Let k = 0.218 + -0.149. Let p = 0.16 - k. What is p rounded to 2 decimal places? 0.09 Let z = -9307693 + 9307634.99959. Let l = z + 58. Round l to 4 dps. -0.0004 Let n(m) = -487*m**3 + 2*m**2 + 12*m + 8. Let a be n(-6). What is a rounded to the nearest 10000? 110000 Suppose 0*q = q + 2*c - 15, 5*q = -3*c + 54. Let r(l) = 9999*l + 9. Let f be r(q). Round f to the nearest one hundred thousand. 100000 Let n(a) = 32*a**3 - 3*a**2 + 6*a + 19. Let y be n(8). Suppose 4*o - 51737 = 4*c + y, 34002 = -2*c - 2*o. Round c to the nearest ten thousand. -20000 Let a = -1134478 + 4368478. What is a rounded to the nearest one million? 3000000 Suppose 4*v = 3*v - s - 3979996, 3*v + 11939984 = -4*s. Round v to the nearest 100000. -4000000 Let j(o) = -145758*o**3 - 2*o**2 - 62*o - 10. Let r be j(-5). What is r rounded to the nearest one hundred thousand? 18200000 Let u = 1.11 + 0.21. Let t = 0.07 + 0.05. Let a = t - u. Round a to zero decimal places. -1 Let t = 751 - 531. What is t rounded to the nearest ten? 220 Let z(t) = t**2 - 3*t + 2. Let w be 3 - (1 + (3 - 3)). Let q be z(w). Let v be 428 - q - (-2 - 0). What is v rounded to the nearest one hundred? 400 Let s be (-14)/(19 - -9) + (-45239)/2. What is s rounded to the nearest one hundred? -22600 Let b = -3.900258 - -3.9. Round b to 5 decimal places. -0.00026 Let j = -35.9 + 173.6. Round j to the nearest ten. 140 Let w be 73/4 - 9/36. Let o be ((-3532884)/w)/(2/(-6)). Suppose 5*f = -1311186 - o. What is f rounded to the nearest 100000? -400000 Let v = 81.982 - -0.018. Let f = v + 236. Let h = f - 318.159. Round h to 2 decimal places. -0.16 Let u = -217 + 80. Let w = 6 + u. Let h = -130.43 - w. Round h to one dp. 0.6 Let y = 1653.1 + -1409. Round y to the nearest integer. 244 Let f(s) = 2802*s - 74. Let g be f(-3). Round g to the nearest one hundred. -8500 Let y = -2953691883664498.3 - -2953691257577329.30000097. Let c = -626087145 - y. Let b = 24 - c. Round b to 7 decimal places. 0.000001 Let r = 3140 + -3166.54. What is r rounded to the nearest integer? -27 Suppose 0 = 11*z - 99 - 77. Suppose 0 = z*j - 23*j + 5390. What is j rounded to the nearest one hundred? 800 Let u = 0.0219861 - -96.9578139. Let q = u - 97. Round q to three decimal places. -0.02 Let c(d) = d**3 - 12*d**2 + 3*d + 18. Let x be c(6). Let f be 30/x - 245401/(-6). Round f to the nearest 1000. 41000 Suppose -2*z + 35982 = 3*d + z, d = -3*z + 11992. Suppose 0 = -5*j + 5*i + d, -5*j + 0*i + 12002 = 2*i. What is j rounded to the nearest one thousand? 2000 Let o = -684.9 - -684.81954. Let b = -6.08 + 6. Let w = b - o. Round w to 4 decimal places. 0.0005 Let b = 5360.002553 - 5360. What is b rounded to 4 decimal places? 0.0026 Let x = -3.2083 + 1421.8783. Let u = x + -1428. What is u rounded to the nearest integer
{ "pile_set_name": "DM Mathematics" }
3*w - 7*w + 5*w) to the form q*w + i + y*w**2 and give y. -2 Rearrange 1 - 3*t**4 + 0*t - 2*t**2 - 4 - 5*t + 7*t to v*t**4 + k*t**2 + q*t + p + g*t**3 and give k. -2 Express (0*z**2 + 4*z**2 - 3*z**2)*(32*z - 89*z - 74*z) as t + p*z**2 + w*z**3 + l*z and give w. -131 Rearrange (3*a - 3*a - a)*(-2*a - 2 + 2) + (-1 + 6*a + 1)*(-2*a - 2*a + 5*a + (3 - 3 + 2*a)*(-2 + 3 + 0)) to w*a + b*a**2 + i and give i. 0 Express -30*t**3 + 81*t**3 - 34*t**3 + t as i*t + h*t**3 + d*t**2 + k and give i. 1 Express -46*m**2 + 4 - 4*m - 4 + 45*m**2 in the form u + q*m + c*m**2 and give c. -1 Rearrange (5*k - 3*k + 0*k)*(1 + 1 - 1)*(2 + 0 - 4) to the form w*k + r and give w. -4 Express -4*s**4 - 3*s**3 + 2*s - 3*s**3 + 3*s**3 - 2*s**3 in the form r*s**4 + q*s**2 + i*s + o + a*s**3 and give i. 2 Express -2*g**3 + g**3 + 5*g**3 + (0*g - 3*g + 2*g)*(-g**2 - 6*g**2 + 3*g**2) - 4*g**3 + 5*g**3 + 0*g**3 in the form t*g**2 + x + u*g + c*g**3 and give c. 9 Express (-3*b**3 + 3*b**3 - b**3)*((3 + 2 - 3)*(3*b - 11*b - 3*b) - b + b - b) as x*b**4 + j*b + r*b**2 + q*b**3 + k and give x. 23 Rearrange (o - 3*o + 5*o + 1)*(5*o**3 + 0*o**3 + 3*o**3) to n + g*o**3 + k*o + m*o**2 + t*o**4 and give t. 24 Rearrange -6*b**2 + 3*b**3 + 4*b**2 - 5*b**4 - b**3 + 0*b**3 to s*b**3 + m*b**4 + x*b**2 + r*b + d and give m. -5 Express 23*r - 7*r + 11*r + 0*r as a + c*r and give c. 27 Rearrange 4*b**2 + b**2 - 4*b**2 - 9 + b**2 to o*b + k*b**2 + w and give k. 2 Express w + w**2 - 3*w**2 + 6 - 4 + (6*w - w - 2*w)*(3*w - 2*w + 0*w) in the form i*w**2 + b + m*w and give b. 2 Express -10*u + 2*u + 3*u as j + f*u and give f. -5 Express (-2 + 2 - z)*(-24 - 3*z + 24) - z + 2*z**2 + z in the form c*z**2 + u*z + i and give c. 5 Express -16 + 5 - 9*g**4 + 2*g**2 - 2 + 7*g**4 in the form h*g + z*g**2 + m + d*g**3 + l*g**4 and give l. -2 Express (9*a + 9*a + 15*a + a**2)*(-2 + 3 + 0)*(-2*a - 2 + 2) in the form o*a + d*a**3 + h*a**2 + l and give l. 0 Rearrange (32*i - 11 - 31*i - 7)*(-10 + 5 - 16) to the form d + s*i and give d. 378 Express -3*k**2 + 16*k**2 - 11*k**2 - 5 + 2*k**4 + 4*k as w*k**2 + z + q*k + j*k**3 + c*k**4 and give w. 2 Rearrange 1 + v + 4*v + 0 - 3*v**4 - v**3 - 6*v to the form g + z*v + w*v**2 + h*v**3 + d*v**4 and give z. -1 Express 149*u**2 - 40 + 40 as h*u**2 + z + v*u and give h. 149 Express 2*d - 2*d - 2*d - d - 2*d + 2*d + (3 - 5 + 4)*(0*d + 0*d - d) + d + 0*d + 0*d - 1 + 1 - d + (-2*d + 5*d - d)*(0 + 0 + 5) in the form o + r*d and give r. 5 Rearrange -35*k + 3*k - 46*k + 11*k to m*k + c and give m. -67 Express -p - 8*p**2 + 2*p**4 + 7*p**2 + 1 - 9 in the form z*p**2 + a*p**4 + g + b*p**3 + l*p and give z. -1 Express (5*o + 2*o - 2*o)*(o + o - 3*o) + 4*o - 4*o - o**2 - o**2 + o**2 + 2*o**2 in the form d*o + r*o**2 + c and give r. -4 Express -l**3 + 4*l - 7*l - 10 + 8 as q*l**3 + m*l + k*l**2 + b and give b. -2 Express (0 + 0 - 3)*(a - a + 12*a)*(a**2 + 3*a**2 - 2*a**2 + (0*a + 2*a - 4*a)*(2*a - 3*a + 0*a))*(1 + 2 - 1) as u*a + h + t*a**3 + c*a**2 and give u. 0 Rearrange (-2 + 0 + 1)*(4 + 3 - 5)*(-17 + 5*t**2 + 17) to the form c*t**2 + g + w*t and give c. -10 Rearrange (-1 + 0 + 3)*(2 + 5*d - 12*d - 4*d) to the form t*d + k and give k. 4 Rearrange -3*b**3 + 0*b**3 + 4*b**3 + (0*b - 2*b + b)*(-5*b**2 + 2*b**2 + 0*b**2) to the form v*b + j*b**2 + d + m*b**3 and give m. 4 Rearrange 181*w**2 + 6 - 179*w**2 + 3 to l + y*w + t*w**2 and give t. 2 Express 125*q**2 - q - 60*q**2 - 97*q**2 as h*q + n + i*q**2 and give i. -32 Express (-1 + 2 + 1)*(51*j**2 - 22*j**2 - 23*j**2 + 19*j) in the form c*j + n + p*j**2 and give p. 12 Rearrange -6 - s**3 + 41*s**2 + 2*s + 4 - 43*s**2 to the form x*s**2 + l + p*s + y*s**3 and give y. -1 Express -25*c + 28*c + 19*c in the form z + o*c and give o. 22 Express -1 + 5*s + 21*s + 1 as y*s + q and give y. 26 Rearrange 17 - m**2 - 2*m**2 - 9 to w*m**2 + s*m + u and give w. -3 Express 3*x**2 + 5*x**3 - 5*x - 6*x**3 - x**2 - 3*x**4 + 2*x**4 in the form p + g*x**4 + q*x**3 + k*x**2 + r*x and give r. -5 Rearrange ((-3*l - 3*l + 7*l)*(-3*l + 5*l - l) - 4 + 4 + 2*l**2 + 5*l**2 - 4*l**2 + l**2)*(-8 + 9*l + 8) to x*l + u + h*l**3 + y*l**2 and give h. 45 Rearrange 35*o - 15*o - 3 + 5*o**2 - 20*o to the form m*o + r + k*o**2 and give k. 5 Express -7*i**3 - 4 + 0*i**3 + 2*i**3 - 2*i**3 as y*i**3 + g + u*i + w*i**2 and give y. -7 Express -3*k**2 - k**3 - 2*k**4 + 2*k - 4 + 3 + 2*k**3 as q*k + p*k**4 + f*k**2 + s*k**3 + l and give s. 1 Rearrange 7*l**2 - 5*l**2 + l**2 to d + g*l + n*l**2 and give n. 3 Express 4*k**4 - 6*k**4 + 2 + k**2 + k**3 + 0*k**3 - 6*k as y*k**3 + f*k + d*k**2 + g + b*k**4 and give d. 1 Rearrange (-2*v**2 + 9*v**2 + 0*v**2)*(-v + 3*v + 0*v) - 5*v + 14*v**3 + 6*v + 2*v**2 - 3*v to the form s*v + u*v**2 + x*v**3 + b and give x. 28 Rearrange (-2 + 5 + 0)*(5*c**4 - 5*c**4 + 7*c**4)*(6 - 3 + 0) to h*c + r*c**2 + f + b*c**4 + l*c**3 and give b. 63 Express -1 - 16*k**3 - 42*k**3 + 0 in the form s*k + z*k**2 + h + y*k**3 and give s. 0 Rearrange 5*g + 5*g - 2*g to the form j + w*g and give w. 8 Express s**4 + 26*s**3 - 4 - 26*s**3 + s + s**2 in the form i*s + c*s**4 + a*s**2 + v*s**3 + o and give i. 1 Express (0*o - 3*o - 2*o)*(-3 + 0 + 5) - 5*o + 4*o + 3*o - 1 - o + 1 + (3*o + 0*o - o)*(-3 + 2 + 2) as r + c*o and give c. -7 Express 0*c + 8*c + 44*c as r*c + i and give r. 52 Express 27*p + 3 + 17*p - 3 as u*p + z and give u. 44 Rearrange (4*f + 2*f - 5*f - 3 + 3 + 2*f + (3 + 0 - 2)*(-f + 0*f + 0*f))*(12 - 16*f - 12) to the form m*f + g*f**2 + x and give g. -32 Rearrange -8*u**2 + 0*u**2 + u**2 + (3 - 2 + 2)*(-2*u**2 - u**2 + 5*u**2) + 2*u**2 - 3*u**2 + 0*u**2 to c*u + j*u**2 + w and give j. -2 Rearrange 2*w**3 - 2 + 0*w + 10 + 2*w - w**4 to the form r*w**4 + j*w**3 + k*w**2 + l + z*w and give r. -1 Express (-3 + 2 + 2)*(-2 + 3*k + 2) + (-2*k + 0 + 0)*(14 + 1 - 1) in the form a*k + f and give a. -25 Express -4 + 9*p**2 - 7*p**2 - 3*p**2 + p**4 in the form a + d*p + v*p**4 + z*p**2 + f*p**3 and give v. 1 Rearrange ((-1 - 2*u + 1)*(1 - 4 + 1) - u + 1 - 1 - 53 + 53 - 12*u)*(-5 + 1 + 3) to the form x + h*u and give h. 9 Express (-1 - 2 + 2)*(i - i - 4*i)*(17 - 15 + 17) in the form t*i + h and give t. 76 Express 244 + 15*f - 244 as m + u*f and give u. 15 Rearrange (2*l**2 + 0*l**2 - l**2)*(-2 + 0 + 4) + (-2*l - 7 + 7 - 5)*(2*l + 6*l - 5*l) to the form o*l + y*l**2 + q and give y. -4 Rearrange -5*u**3 + 4*u**3 + 2*u + 2 + u - 6 to f + q*u + c*u**3 + l*u**2 and give c. -1 Rearrange (-g**3 + 0*g**3 - 6*g**3)*(3 + 1 + 3) to the form f + l*g**3 + p*g + c*g**2 and give l. -49 Express (q - q - 2*q)*(-83*q - 36 + 36) as f*q**2 + v + u*q and give f. 166 Rearrange 67*r + 63*r + 72*r - 195*r to z*r + k and give z. 7 Rearrange 6*l**2 - 5*l**2 - 4*l**2 - 8 to u + r*l**2 + k*l and give r. -3 Express -2*o**3 + 6*o**2 - 9*o**2 + 1 + 4*o**2 as x*o + z*o**3 + u + v*o**2 and give u. 1 Rearrange 0*v**3 - v**2 + 5*v**3 - v**3 + 1 - 2*v**3 to the form t*v + y*v**2 + d + n*v**3 and give y. -1 Express 208*q - 50*q**2 - 11*q**2 - 207*q in the form r*q + j*q**2 + f and give j. -61 Rearrange (-4 - 1 + 0)*(-9*d - 2*d - 17*d)*(-2*d + d + 2*d) to m*d + s*d**2 + w and give s. 140 Rearrange -4*y + 20 - 18 + y**3 + 4*y + 2*y**2 - 2*y**4 to k*y**2 + j*y**4 + c + u*y**3 + n*y and give k. 2 Rearrange (6 + 7 - 2*j - 12)*(4*j + 0*j - j) to the form q*j + z*j**2 + o and give z. -6 Rearrange (-8*z - 8*z + 2*z)*(-6 - 4 + 5) - z + 0*z + 2*z + (-2*z - z + z)*(1 + 2 - 1) + 0 - z + 0 to n*z + x and give n. 66 Express u**4 + 3 - 10*u**2 - 1 + 0*u - 2*u - 35*u**2 in the form y*u + b*u**3 + h*u**2 + n + z*u**4 and give y. -2 Express -3 + 1512*d - 1469*d + 3 as s*d + g and give s. 43 Rearrange u**3 - 1 - 5*u - 4*u - u**4 + 10*u to the form t + j*u**2 + w*u**4 + q*u + c*u**3 and give c. 1 Rearrange -51*k**3 - k**2 - k + 47*k**3 - 2*k to j*k**3 + o + x*k**2 + u*k and give j. -4 Express (2 + 3 - 4)*(4 + 6 - 3)*(-2*u + 2*u - 2*u + (6 - 3 - 5)*(-3*u - 4*u - 2*u))*(2*u + 1 - 1) as n*u**2 + y + i*u and give n. 224 Express -u + 7*u**3 - 3*u**3 - 3*u**3 + 1 + 3*u**3 as m*u**2 + t*u**3 + k + p*u and give k. 1 Express -3*u**4 + 9*u**4 + 9*u**4 + (u - 3*u + 3*u)*(-1 - u**3 + 1) in the form d + m*u**2 + j*u**4 + q*u + s*u**3 and give j. 14 Express 6 + 4 - c**2 + 0*c**2 + 2*c**2 in the form r + t*c**2 + f*c and give r. 10 Exp
{ "pile_set_name": "DM Mathematics" }
d 23/5 have different values? True Which is smaller: 0 or -24/107? -24/107 Is 3/367 less than 0? False Which is smaller: 38259 or 38258? 38258 Is 0 equal to 9/19? False Which is smaller: -68 or -70? -70 Which is smaller: -16 or -24? -24 Which is smaller: -1 or -971? -971 Do -249 and -244 have the same value? False Is 437 > 0.2? True Is -36980 > -36979? False Which is greater: 1371 or 1387? 1387 Does 98 = 94? False Which is smaller: 151 or 66? 66 Which is greater: 918 or 4591/5? 4591/5 Which is bigger: -2264 or -2265? -2264 Is 0 > 23/16? False Is -15 != 795? True Is 3265 at least as big as 3264? True Which is greater: 1 or 186/85? 186/85 Which is bigger: 3018 or 3019? 3019 Is 0 equal to 35/66? False Is 1 at most as big as -2/1209? False Which is smaller: 21169 or 21168? 21168 Which is bigger: 24 or 200? 200 Is 183 greater than 183? False Is 587 greater than or equal to 587? True Which is greater: 2111 or 2113? 2113 Which is greater: -388.4 or 2? 2 Which is bigger: 54 or 585/11? 54 Are -226 and -216 equal? False Is 185 bigger than 177? True Is -5 at least as big as -13? True Which is smaller: 41 or -0.1? -0.1 Which is smaller: -710 or -4968/7? -710 Does 81/2 = 40? False Which is smaller: -423/10 or -43? -43 Is -2/21 at most 1/9? True Which is greater: -15 or -3? -3 Which is smaller: -0.01 or 4054? -0.01 Is -7101/7 not equal to -1013? True Is -52 less than -54? False Do 2/3319 and 1 have the same value? False Which is bigger: 5 or 0.17? 5 Which is smaller: -604 or -603? -604 Is -1 less than -9/70? True Is 1953 equal to -0.15? False Is 36603 < 36604? True Which is greater: 713 or 710? 713 Which is bigger: -24 or -27? -24 Is -30/73 at least as big as 0? False Which is smaller: 7/4 or 18? 7/4 Which is smaller: 1806 or 7225/4? 1806 Is 1 bigger than 8/31? True Which is smaller: 501 or 502? 501 Is 0 at most -1/248? False Which is smaller: -2 or -88? -88 Which is smaller: -543 or -5982/11? -5982/11 Is -731/26 at least as big as -29? True Which is bigger: 1 or 2/86503? 1 Is -1/86 < 1/2? True Which is smaller: -63 or -68? -68 Which is smaller: 119 or 120? 119 Which is bigger: 0 or -7/151? 0 Is 5103 != 5104? True Is 2 smaller than -310? False Which is greater: -10 or -171/16? -10 Which is smaller: 0 or 2005? 0 Which is bigger: -8 or -73/9? -8 Which is bigger: 0 or 26/15? 26/15 Which is smaller: 1/4 or 1312? 1/4 Is 353/27 <= 12? False Which is smaller: 629 or 633? 629 Is 209 != 1/23? True Which is bigger: 5/2041 or 1? 1 Is 546 at most as big as 546? True Which is smaller: 1728 or 1727? 1727 Is 1 smaller than -2/4635? False Which is smaller: 3 or -0.281? -0.281 Does 14729 = 14730? False Which is bigger: 57 or 59? 59 Do 9152/5 and 1830 have the same value? False Which is smaller: -1 or -4/1427? -1 Which is greater: 1/3 or -51? 1/3 Is -48 smaller than -383/8? True Which is bigger: 229 or 218? 229 Is 82 at least as big as 413/5? False Which is greater: -4180 or 1? 1 Which is greater: 86 or 85? 86 Is 1 > -1/50? True Which is smaller: -149 or -148? -149 Is -5 < 0.0256? True Which is smaller: -88 or -85? -88 Which is smaller: -173 or -1209/7? -173 Which is greater: -1 or 2946? 2946 Is -20100 less than -20099? True Which is greater: -30 or -28? -28 Do 19 and -13 have different values? True Which is bigger: -44 or 1/2? 1/2 Is -124 < -624/5? False Is 2/331 greater than 1? False Is -294 greater than or equal to -2/3? False Which is greater: -818 or -4092/5? -818 Which is smaller: -3 or -98? -98 Which is bigger: 1628 or 1630? 1630 Does 1 = -1/116? False Is -525 at least -525? True Is 25206 smaller than 25206? False Is -590 < -596? False Which is greater: 4/3 or 1? 4/3 Which is smaller: -15 or 2/15? -15 Which is smaller: 56/81 or 1? 56/81 Does -35 = -44? False Which is smaller: 11 or -62/7? -62/7 Which is greater: 507/8 or 64? 64 Is 1782/7 bigger than 256? False Which is smaller: -31 or -565/19? -31 Do -9537 and -9536 have the same value? False Which is greater: 1157 or -6? 1157 Which is bigger: 1 or -7/3263? 1 Is -10/3 at least -24/7? True Are 4500 and -1 non-equal? True Which is greater: -14/11 or -3/4? -3/4 Which is bigger: 66 or 0? 66 Which is smaller: 13 or 93? 13 Which is greater: 3/43574 or 1? 1 Is 15.5 greater than 3? True Is 2181 equal to 2183? False Is 1/2 smaller than -109? False Which is smaller: -142 or -152? -152 Are -35 and -0.042 nonequal? True Which is greater: -2/5 or 3.9? 3.9 Do -1057 and 1 have different values? True Which is smaller: -5 or 2? -5 Which is smaller: -176 or -9/4? -176 Which is smaller: 1024/21 or 50? 1024/21 Which is greater: -1971 or -1972? -1971 Does 0 = 50/97? False Is -2/95 at least -1? True Which is smaller: 2/7 or -11/2633? -11/2633 Is -1 != 2/733? True Is 13/31 >= -1? True Which is smaller: 18/209 or 2/9? 18/209 Which is greater: 2/605 or 1? 1 Is -62/207 greater than -1? True Which is smaller: -8/85 or 1? -8/85 Do 23096 and -2 have the same value? False Which is smaller: 0.1 or -4163? -4163 Which is smaller: 2/3 or 2684? 2/3 Is -1626 > -1624? False Is -9.7 smaller than 2? True Which is smaller: 3349.3 or -1? -1 Is 378 less than -0.27? False Which is smaller: 26 or 4? 4 Which is bigger: 0 or 1/22? 1/22 Which is bigger: -2 or -39/71? -39/71 Is -375/52 greater than -7? False Is 2/939 greater than -20? True Is 8 != -0.329? True Which is greater: 1 or 2/9767? 1 Is -3/1627 >= 0? False Which is smaller: 2 or -16? -16 Is -2/5 < -5735? False Is 219 less than 203? False Which is bigger: 2/1275 or 0? 2/1275 Which is bigger: -18271/3 or -6090? -6090 Which is smaller: -153/14 or -12? -12 Which is smaller: 1579 or 1583? 1579 Which is bigger: -1 or 157? 157 Is -25/3 at most -7? True Is -33 at most as big as 22? True Which is bigger: 166 or 3? 166 Which is bigger: 5 or 8? 8 Which is greater: -19 or 2? 2 Which is bigger: 801 or 797? 801 Which is smaller: 2/11 or -1354? -1354 Which is smaller: 10/49 or -9? -9 Which is smaller: 9.63 or 3/2? 3/2 Which is smaller: -4/7 or -5? -5 Which is bigger: -93 or -90? -90 Which is smaller: 10 or 77/8? 77/8 Is -54/127 < 1? True Is 0 bigger than 5/22? False Is -1 bigger than 250/49? False Is -25 != -32? True Which is greater: -64 or -77? -64 Are 3625 and 3625 equal? True Which is bigger: 0 or 109/474? 109/474 Which is greater: 1 or 5/88? 1 Which is greater: 27 or 138/5? 138/5 Is -1965 less than or equal to 0? True Which is bigger: -1 or 2/4669? 2/4669 Which is smaller: -21 or -25? -25 Which is smaller: -7/60 or 1? -7/60 Is -17 <= -14? True Is -19496 at least as big as -2? False Which is smaller: 1483 or -2/9? -2/9 Is -2080 less than -2080? False Does -1243/2 = -621? False Which is bigger: -53/67 or -2? -53/67 Is -6/5459 >= 0? False Is 59/76 at most 2? True Is -92/55 less than -3? False Is 0.3 != 386.2? True Is 1 at least as big as 3/194? True Is 83 less than or equal to 81? False Is -20/307 greater than -1? True Which is bigger: -1232 or -3700/3? -1232 Is -2791 less than -0.3? True Are 19 and 211/11 unequal? True Do -9 and -8 have different values? True Is 0.1 > -83? True Which is bigger: 32 or 34? 34 Do 249 and 248 have the same value? False Is -1 < 4/39? True Which is greater: 18 or 158/9? 18 Is 11/83 at most as big as 0? False Is -1 != -57/121? True Which is bigger: 0.03 or -12? 0.03 Is -55 < -54? True Which is smaller: 52 or 45? 45 Which is smaller: -51 or -48? -51 Which is smaller: 1 or -2/1519? -2/1519 Is 378 greater than 40? True Which is smaller: 3 or 267.5? 3 Which is bigger: -132 or -131? -131 Which is smaller: 0 or -6/149? -6/149 Are 45127 and 45127 equal? True Is -123/20 greater than 6? False Which is smaller: 237 or 235? 235 Is -2349 less than or equal to 8? True Is 2/10599 smaller than 0? False Is -3/25 greater than 1/8? False Which is greater: 397 or 398? 398 Is -44/85 less than or equal to 0? True Is -90 bigger than -90? False Which is bigger: -1/13 or -65? -1/13 Is 25/669 at most as big as -1? False Which is bigger: 1 or 120/329? 1 Which is bigger: 58 or 78? 78 Are 12 and 3/2 nonequal? True Which is smaller: 2/5 or 0.183? 0.183 Which is bigger: 55 or 53? 55 Is 179 at most -4? False Which is smaller: 1 or -0.453? -0.453 Is -343 at least -1/6? False Which is smaller: 195 or 589/3? 195 Which is smaller: -6193 or -6192? -6193 Which is greater: -15 or 50? 50 Which is bigger: 860 or 849? 860 Is -
{ "pile_set_name": "DM Mathematics" }
)) + sqrt(55)))/((sqrt(125) - -1*sqrt(125))*4 + 3*-2*sqrt(125)). -11*sqrt(11)/2 Simplify (1*((sqrt(99)*-1)/sqrt(9) + -3 + sqrt(99)) + (sqrt(1584) + -1 - sqrt(88)/(sqrt(32)/sqrt(4))) + -3 + sqrt(396))**2. -266*sqrt(11) + 4020 Simplify 1 + (0 + (sqrt(2057) + sqrt(2057) + -3)*4 + 1 + sqrt(2057) + (1 + sqrt(2057))*2 + -4)**2. -3146*sqrt(17) + 249067 Simplify -2*(sqrt(112) + -1 + (sqrt(70) + (sqrt(70) - (-1*sqrt(70) + sqrt(70))) + sqrt(70))/sqrt(10)) + (2*sqrt(49)*6)/(1*sqrt(847)). -142*sqrt(7)/11 + 2 Simplify (-2*(sqrt(85) + (sqrt(85) - (sqrt(85) + -3*sqrt(85)))) - 6*sqrt(85)*-3)/((sqrt(50) - sqrt(800))/sqrt(10) + sqrt(5) + -2*sqrt(5)*4). -sqrt(17) Simplify ((-2*sqrt(198)*2)/sqrt(9))/(-3*3*sqrt(44)/sqrt(4)) + 0. 4*sqrt(2)/9 Simplify ((sqrt(832) + -2 + sqrt(832) + 5 - sqrt(832)) + 4 + sqrt(832)*-2)**2 - (5 + ((-2*sqrt(143)*2 + sqrt(143))/(5*sqrt(44)))**2). -112*sqrt(13) + 87483/100 Simplify ((-5 + sqrt(98) + 2)*-6 + -1 + 1 + 3)*2. -84*sqrt(2) + 42 Simplify (-1*sqrt(110)/(2*sqrt(11)*-3))/((sqrt(96)/sqrt(3) - sqrt(2))*-3*-3). sqrt(5)/162 Simplify ((1*((sqrt(242) - (sqrt(242) + sqrt(242)*2)) + sqrt(242)) + -5)*1 - (1 + (sqrt(242) + 1 - sqrt(242)) + sqrt(242) + (sqrt(242) + 1)*-1 + 2))**2 + 1. 176*sqrt(2) + 307 Simplify -4 + (1 + 1*1*sqrt(7) + sqrt(7) - (-2 + sqrt(7) + sqrt(7) + 3 + 1))**2*5. 1 Simplify (sqrt(567)/(sqrt(9)*-2) + 1 + sqrt(9072) + (sqrt(70) - sqrt(70)*-2*-4)/sqrt(10) + 1)**2. 110*sqrt(7) + 21191/4 Simplify sqrt(245)*-5 + (sqrt(5) - (sqrt(5)*-6)**2) + 1 - (sqrt(50)/(sqrt(20)/sqrt(2)) + sqrt(15)/(sqrt(6)/sqrt(2))). -179 - 36*sqrt(5) Simplify (3*((((sqrt(70) - 1*sqrt(70)) + sqrt(70))*-1)/(sqrt(160) - sqrt(160)*-2) + 3*sqrt(175) + ((sqrt(70)*1)/sqrt(10) - sqrt(7))))**2. 224287/16 Simplify -2 + (sqrt(363) + sqrt(363)*-3 - (sqrt(243) + 0)) + ((3 + sqrt(12))**2 - ((sqrt(3) + 2 - sqrt(3))**2 + 2)). -19*sqrt(3) + 13 Simplify -1*((sqrt(15) - (sqrt(180)*-2)/sqrt(12)) + sqrt(405)/sqrt(3))/(4*sqrt(3)*2 - 1*sqrt(3)*-4). -sqrt(5)/2 Simplify (sqrt(11) - (-4*sqrt(539) - sqrt(539))) + (2*sqrt(44))/sqrt(4) + (5 + sqrt(396))**2*-4*-1. 278*sqrt(11) + 1684 Simplify 0 + (sqrt(2304) + -1*sqrt(2304)*2 + -5*(sqrt(2304) + (1*sqrt(2304) - sqrt(2304))))/((sqrt(120)*-1*3)/(sqrt(1210)*-1)). -176*sqrt(3) Simplify ((2*sqrt(153)*2)/(5*sqrt(6)/sqrt(2) - sqrt(3)))/(sqrt(24)/(sqrt(8) - -2*sqrt(8)) - sqrt(2304)/sqrt(12)). -3*sqrt(17)/23 Simplify ((-2*(5*sqrt(104)*-1 + (sqrt(104) - 2*sqrt(104)*3 - sqrt(104))))/(sqrt(48)/sqrt(96) + sqrt(8) - (sqrt(160)/sqrt(5))/sqrt(4)))**2. 100672 Simplify (-3*(2*(5 + sqrt(304) + -2)*3 + -4))**2*3. 18144*sqrt(19) + 300780 Simplify (5*-2*sqrt(153) - (sqrt(153) + 3 + sqrt(153))*-4 - (-4 + -1 + sqrt(153) + sqrt(153) + -3 + -3))**2. -552*sqrt(17) + 2977 Simplify -4*(4*(1 + -2*sqrt(833) + sqrt(833)) - ((sqrt(833) - (sqrt(833) + 5*(sqrt(833) - (sqrt(833) + 0)))) + 5*(sqrt(833) + -1*sqrt(833))))**2. -53376 + 896*sqrt(17) Simplify (1 + -2 + ((sqrt(180) - (sqrt(180) - (sqrt(180) + 0))) + 0 - (1*sqrt(180) + 3))*-3*3)**2. 676 Simplify -3 + 0 + ((sqrt(12)/(-3*sqrt(144)))**2 - (sqrt(432) + sqrt(432) + sqrt(432)*-2 + 3)). -647/108 Simplify ((sqrt(228) - -5*3*sqrt(228)) + sqrt(228) + -2*2*sqrt(228))/(6*(sqrt(12) - -5*sqrt(12)*2 - (sqrt(1728) - sqrt(1728)*-1))). -sqrt(19)/6 Simplify (6*(sqrt(152) + -1*sqrt(152)) + sqrt(152) + (2*sqrt(152) + sqrt(152))*-2)/(((sqrt(40) - sqrt(640))/sqrt(5) - sqrt(8))*-4)*4. -5*sqrt(19)/4 Simplify (-3 + (4 + sqrt(2736) + -2 - -5*(sqrt(2736) - (sqrt(2736) + 0 + sqrt(2736)))))**2 - (-6*(4*(sqrt(2736) + 0) - sqrt(2736)*-2*4))**2. -14139647 + 96*sqrt(19) Simplify (2*-2*sqrt(684) - 6*1*sqrt(2736))**2 + 3*3*(0 + sqrt(684))*-1. -54*sqrt(19) + 175104 Simplify (-4*sqrt(343)*6*-4 - (-3 + (6*sqrt(175)*5 - sqrt(175))))**2. 3162*sqrt(7) + 1944112 Simplify (2*(-5*(4 + -2 + sqrt(80) + -1 + -2 + sqrt(80) + sqrt(80))*-5 + 3 + -1))**2. -55200*sqrt(5) + 1802116 Simplify (-2*sqrt(143)*2 - sqrt(143) - sqrt(143) - ((sqrt(143)*2 - sqrt(143))*-3 - sqrt(143)))/(sqrt(121)/(-2*sqrt(11) + sqrt(11)) - 2*sqrt(396)). 2*sqrt(13)/13 Simplify (-6*-1*sqrt(70)*-3*-4)/((sqrt(80) + -2*sqrt(80)*6)/((sqrt(512)*1 - sqrt(512)) + sqrt(512))). -576*sqrt(7)/11 Simplify 4 + (-1 + (-3 + sqrt(343)*-2 + 0 + -3 + -4)*-6)**2. 9912*sqrt(7) + 52877 Simplify 4*((3 + sqrt(1088))**2*1*-6 - ((0 + sqrt(272) + -2)*-5)**2). -53928 + 448*sqrt(17) Simplify -3*2*(-3*sqrt(160))/(sqrt(72)/(sqrt(9)*2)) + 2. 2 + 72*sqrt(5) Simplify 4*(sqrt(567)/sqrt(9) + 2*sqrt(7)*-1) + (2*sqrt(3087))/(-1*sqrt(36)). -3*sqrt(7) Simplify -4 + (-4*(sqrt(833) + -4 + sqrt(833)) + sqrt(833))**2 + -6*((-3 + sqrt(272))**2 + sqrt(17)). -1430*sqrt(17) + 39383 Simplify -2*(-3 + sqrt(171) + -4 + -3 + (sqrt(171)*1)**2 + 4). -330 - 6*sqrt(19) Simplify -1*(-6*(sqrt(156) - 3*sqrt(156)*1))/((1*sqrt(84))/sqrt(7) + 5*sqrt(60)/sqrt(5))*-6. 12*sqrt(13) Simplify ((sqrt(243) + 1*sqrt(243))*3 + (sqrt(243) - (sqrt(243)*1 + sqrt(243)))*-3)/(sqrt(225)*2*2). 27*sqrt(3)/20 Simplify (sqrt(95) - 2*(sqrt(95) + sqrt(95)*-2) - (sqrt(95) + (sqrt(95) - 4*(sqrt(95) - (sqrt(95)*-1 - sqrt(95))))))/((-2*sqrt(1800))/sqrt(10)*4). -13*sqrt(19)/48 Simplify (sqrt(99)/((sqrt(18)*-2 + sqrt(18))/sqrt(6)))/(3*sqrt(44)*-1)*6. sqrt(3) Simplify (-1*(-2*(sqrt(120) + sqrt(120)*-1))/sqrt(5))/((-2*sqrt(288) - ((sqrt(88)*2)/sqrt(11) + sqrt(8)))*1). 0 Simplify ((2*sqrt(117)*-2 + sqrt(117))/(sqrt(81)/(sqrt(18)/sqrt(2))) - (2*(sqrt(13) + 0) + (sqrt(39)/(sqrt(9)/sqrt(3)) - sqrt(13)))**2*5)*6 + -2. -1562 - 18*sqrt(13) Simplify (3 + 5 + 4*(-1 + sqrt(162)) + sqrt(162) + 3)**2*1*4. 2520*sqrt(2) + 16396 Simplify ((-4*-1*sqrt(152))/(-4*sqrt(4)*2))/(sqrt(600)/sqrt(12) - 3*sqrt(8)). sqrt(19)/2 Simplify (-3*sqrt(196)*3*1)/(-4*(6*sqrt(343) - sqrt(343))). 9*sqrt(7)/70 Simplify ((1*sqrt(5040) + sqrt(5040))*3*-2)/((-2*sqrt(567) - sqrt(567))/sqrt(9)*4). 4*sqrt(5) Simplify 3 + ((5*(sqrt(176) + sqrt(176) + 0) - (sqrt(495)/sqrt(5) - sqrt(99)*1)) + 4)**2. 320*sqrt(11) + 17619 Simplify (3 + (sqrt(36)/(sqrt(81) + sqrt(9))*-1)/((sqrt(2) - (sqrt(2) + -5*(sqrt(2) + -4*sqrt(2) + sqrt(2))))*-3))**2. -sqrt(2)/20 + 64801/7200 Simplify (-4*sqrt(384)*1 - sqrt(384) - sqrt(384))/(-4*(sqrt(12) - sqrt(108))*5). -3*sqrt(2)/5 Simplify (sqrt(1700) + sqrt(1700)*-1 + -5 - (-4 + 1*sqrt(1700) - sqrt(1700)) - -5*(2 + (sqrt(1700) + -1 + sqrt(1700) + sqrt(1700) + 3 - sqrt(1700))))**2. 3800*sqrt(17) + 170361 Simplify (2*(-1 + 3*(-2*(sqrt(637) + 2) + sqrt(637) - sqrt(637))*-6))**2 + -5. 143136*sqrt(13) + 3322367 Simplify ((6*(sqrt(252) - (1*sqrt(252) + sqrt(252))))/((sqrt(132)*-2)/sqrt(11)))/(((sqrt(252)*-2)/sqrt(7))/((sqrt(132)*1)/sqrt(11))). -3*sqrt(7)/2 Simplify ((3 + sqrt(2736) + 1 + -3 + -4 - (-3*sqrt(2736) + -5 + sqrt(2736)*-3*-3))*-5)**2. -6000*sqrt(19) + 1710100 Simplify ((sqrt(1008) - (sqrt(1008) + (sqrt(1008) + 1)*-2)) + (sqrt(1008) - (-2*sqrt(1008) + -3)) - 1*-1*-4*(sqrt(1008) - (sqrt(1008) - (-4 + sqrt(1008)))))**2. 504*sqrt(7) + 1449 Simplify (-3*sqrt(133)*1 + 5*sqrt(133)*-4 + sqrt(133))/(((1*sqrt(84))/sqrt(6))/(2*sqrt(50))). -220*sqrt(19) Simplify (0 + (sqrt(44) - (sqrt(44) + -1))*-6 + 2)**2 - (6*sqrt(176) + sqrt(11)*-2 + -3 - (sqrt(77)/(sqrt(112)*-3))**2). -22*sqrt(11) + 2747/144 Simplify (1*(sqrt(336) + -3*sqrt(336)*-2 + (sqrt(336) - sqrt(336)*1)*-6))/(4*-2*sqrt(192) + (sqrt(192) - sqrt(192)*-2)*-2). -sqrt(7)/4 Simplify -2*((2*(-3*sqrt(525))/sqrt(7))**2 - ((2*(sqrt(147)*1 + sqrt(147) - sqrt(147)))**2 + 2)) + 1. -4219 Simplify (sqrt(175) + 1 + 2)*-5 + -3*(sqrt(175) - (sqrt(175)*-2 + sqrt(175)))**2*3 + 0. -6315 - 25*sqrt(7) Simplify 0 + (-2*6*(4*(-2 + sqrt(605)) - 1*(sqrt(605) + 1))*4)**2. -1368576*sqrt(5) + 12731904 Simplify (sqrt(85)/(3*sqrt(35)/sqrt(7))*1 + (sqrt(17) + sqrt(425) + -2 - (sqrt(51)/sqrt(3) + -3))*6)**2. 364*sqrt(17) + 141101/9 Simplify (-2 + -2 + (-1*(-3*sqrt(5) + 1 - ((sqrt(245) - (sqrt(245) + 0)) + sqrt(5))))**2)*2. -16*sqrt(5) + 154 Simplify (4*(0 + -4*(0 + sqrt(245))))**2 - -1*((-1*(sqrt(245) + 1))**2 - (-3*sqrt(245)*1)**2). 14*sqrt(5) + 60761 Simplify 1*((-2*-1*(sqrt(2299) - sqrt(2299)*-3))**2 + (1*sqrt(228)*-3)/(2*sqrt(12)*3)). -sqrt(19)/2 + 147136 Simplify (3*sqrt(66)*1 - (4*sqrt(66)*-4 - sqrt(66)))/(sqrt(150) + (sqrt(150) - (sqrt(150) + 2*sqrt(150))) + (sqrt(72)*2 + sqrt(72))/sqrt(12)). -10*sqrt(11) Simplify (4 + 4 + sqrt(26)/(sqrt(2) - (sqrt(200)*4 + sqrt(200))) + 4)*-2
{ "pile_set_name": "DM Mathematics" }
ement from pxnpnnnvtpnnptnnn. Give prob of sequence vnpn. 3/595 What is prob of sequence nxx when three letters picked without replacement from mmxngnxg? 1/84 Three letters picked without replacement from {s: 7, m: 4, t: 1, r: 2, x: 3}. What is prob of sequence ssm? 7/170 What is prob of sequence ijj when three letters picked without replacement from uijjuuijxuxxwxniuuin? 1/285 Three letters picked without replacement from {b: 7, f: 6, a: 2}. What is prob of sequence faa? 2/455 Calculate prob of sequence qlqq when four letters picked without replacement from lqqqqqqq. 1/8 What is prob of sequence dd when two letters picked without replacement from {d: 2, n: 1, g: 6, o: 3, k: 5}? 1/136 Calculate prob of sequence cdd when three letters picked without replacement from {d: 19, c: 1}. 1/20 Three letters picked without replacement from vvjvvvvvjvjvvvvjvvvj. Give prob of sequence jvj. 5/114 Three letters picked without replacement from ffreqzzfqwqe. Give prob of sequence wer. 1/660 Calculate prob of sequence vv when two letters picked without replacement from {u: 3, v: 3}. 1/5 Two letters picked without replacement from lwlwlwrlwwwlwllrll. What is prob of sequence lr? 1/17 Calculate prob of sequence oo when two letters picked without replacement from oeoooooo. 3/4 Calculate prob of sequence bn when two letters picked without replacement from bnngggbgbgnnbnnng. 7/68 Calculate prob of sequence ooo when three letters picked without replacement from {o: 5}. 1 Three letters picked without replacement from xjxjxxx. Give prob of sequence xxx. 2/7 Three letters picked without replacement from siiiiiiiiiiiiiiiiiii. Give prob of sequence sii. 1/20 What is prob of sequence mbm when three letters picked without replacement from ibbsbmirjrrbssm? 4/1365 Two letters picked without replacement from rrrrrrrssbbrrbsrrs. Give prob of sequence bb. 1/51 Four letters picked without replacement from yayvryhvryvrv. Give prob of sequence rhvv. 3/1430 Two letters picked without replacement from oodanyx. Give prob of sequence na. 1/42 Three letters picked without replacement from gsbsbgsssgsssgbggsb. What is prob of sequence ggs? 15/323 What is prob of sequence ooe when three letters picked without replacement from okkebkooeekkkoo? 2/91 Four letters picked without replacement from {b: 3, o: 12}. What is prob of sequence obbo? 11/455 What is prob of sequence sa when two letters picked without replacement from {e: 4, l: 1, s: 1, y: 1, f: 3, a: 2}? 1/66 Three letters picked without replacement from aahazaanh. What is prob of sequence anh? 5/252 Three letters picked without replacement from gursddt. Give prob of sequence dur. 1/105 Two letters picked without replacement from unududutuddd. Give prob of sequence nd. 5/132 What is prob of sequence pog when three letters picked without replacement from gbgbobbbgpbgbob? 4/1365 Three letters picked without replacement from dxvmvviivv. What is prob of sequence dvi? 1/72 Three letters picked without replacement from ooogggogoooggggg. Give prob of sequence gog. 3/20 Three letters picked without replacement from {j: 1, b: 1, p: 1, r: 1, t: 1}. What is prob of sequence tbr? 1/60 Two letters picked without replacement from ysyyfyyysyzffyffl. What is prob of sequence sz? 1/136 Two letters picked without replacement from {l: 1, k: 4, n: 1, p: 1, v: 4, e: 3}. Give prob of sequence lk. 2/91 Four letters picked without replacement from advxvvaxvvavvx. Give prob of sequence vvda. 3/572 Calculate prob of sequence cdk when three letters picked without replacement from dcaakccdvca. 4/495 Four letters picked without replacement from fgegefffgxghfhcxef. Give prob of sequence eceg. 1/3060 Three letters picked without replacement from {k: 15, d: 4}. Give prob of sequence kdd. 10/323 Three letters picked without replacement from nnnhjwnhgddhn. Give prob of sequence hjh. 1/286 Two letters picked without replacement from {q: 1, h: 1, o: 1, g: 2, t: 2}. Give prob of sequence tg. 2/21 Three letters picked without replacement from {u: 6, k: 7}. What is prob of sequence kku? 21/143 Calculate prob of sequence izz when three letters picked without replacement from {h: 3, f: 1, z: 1, i: 7, a: 2}. 0 Two letters picked without replacement from temtf. What is prob of sequence tt? 1/10 Two letters picked without replacement from ttmttttmmtttmmmtot. What is prob of sequence om? 1/51 Four letters picked without replacement from {f: 7, k: 6, c: 2, u: 1, t: 1}. Give prob of sequence fuft. 1/1360 Calculate prob of sequence myjj when four letters picked without replacement from {m: 4, y: 4, j: 2}. 2/315 Four letters picked without replacement from pppbpppppbxppx. What is prob of sequence pppp? 30/143 Two letters picked without replacement from {v: 8, x: 3, a: 5}. Give prob of sequence ax. 1/16 Calculate prob of sequence wyq when three letters picked without replacement from {w: 3, q: 2, y: 7}. 7/220 What is prob of sequence jj when two letters picked without replacement from {j: 5, t: 11}? 1/12 Calculate prob of sequence mium when four letters picked without replacement from mmumuiummu. 1/63 Two letters picked without replacement from {f: 2, o: 2, d: 10, p: 6}. Give prob of sequence fp. 3/95 Calculate prob of sequence ll when two letters picked without replacement from pplppllpll. 2/9 What is prob of sequence vdgd when four letters picked without replacement from {d: 2, v: 9, u: 2, g: 3}? 9/7280 What is prob of sequence uhuh when four letters picked without replacement from huuhuhhuuuuuuh? 60/1001 Three letters picked without replacement from {m: 3, e: 13}. Give prob of sequence mem. 13/560 Three letters picked without replacement from ccpcssvasee. Give prob of sequence ccs. 1/55 Two letters picked without replacement from {z: 1, a: 1, r: 2, k: 1, o: 1, i: 2}. What is prob of sequence ri? 1/14 What is prob of sequence rj when two letters picked without replacement from tjhrttrrrrlrhr? 1/26 Calculate prob of sequence ana when three letters picked without replacement from nahhjha. 1/105 What is prob of sequence osoo when four letters picked without replacement from sssooo? 1/20 Three letters picked without replacement from qqyjjqqqyy. What is prob of sequence qyj? 1/24 Three letters picked without replacement from {r: 2, i: 2, q: 10}. Give prob of sequence qri. 5/273 Four letters picked without replacement from mywwmwmmmmmymmm. What is prob of sequence wymm? 3/182 Two letters picked without replacement from {r: 5, u: 9, q: 2}. Give prob of sequence uu. 3/10 Two letters picked without replacement from aqqqutqttta. What is prob of sequence au? 1/55 Two letters picked without replacement from {t: 1, y: 1, u: 1, e: 1, l: 1}. What is prob of sequence ue? 1/20 Two letters picked without replacement from {e: 7, u: 7}. What is prob of sequence eu? 7/26 Calculate prob of sequence os when two letters picked without replacement from {o: 7, f: 2, u: 4, p: 4, s: 1}. 7/306 Three letters picked without replacement from eeqaaeqaeqqq. What is prob of sequence qqa? 1/22 Calculate prob of sequence yyy when three letters picked without replacement from yyyyyyy. 1 Two letters picked without replacement from gsogsdsds. What is prob of sequence dg? 1/18 Four letters picked without replacement from {r: 11, o: 1}. Give prob of sequence rrro. 1/12 Calculate prob of sequence igix when four letters picked without replacement from {i: 2, o: 1, g: 4, x: 2}. 1/189 What is prob of sequence mtt when three letters picked without replacement from vvmtt? 1/30 What is prob of sequence ppp when three letters picked without replacement from {t: 2, p: 8}? 7/15 Three letters picked without replacement from cmcmcmcccccccccc. What is prob of sequence mmc? 13/560 What is prob of sequence rxxj when four letters picked without replacement from {r: 5, x: 5, j: 3, e: 2}? 5/546 What is prob of sequence zrnv when four letters picked without replacement from szzszzssnvrzzs? 1/4004 What is prob of sequence kk when two letters picked without replacement from kkhh? 1/6 Calculate prob of sequence or when two letters picked without replacement from olorolylrlulr. 3/52 Three letters picked without replacement from tmmmmtmtmmmm. Give prob of sequence mtt. 9/220 What is prob of sequence avat when four letters picked without repla
{ "pile_set_name": "DM Mathematics" }
j - 70. Give -3*f(p) + 70*u(p). -20*p**3 Let x(c) = 2*c - 3. Let r(a) be the third derivative of 1/6*a**3 - 9*a**2 + 0 + 0*a. Give 6*r(d) + x(d). 2*d + 3 Let s(j) = -487142*j**3 - 3178*j**2 + 3178*j - 6356. Let c(z) = -460*z**3 - 3*z**2 + 3*z - 6. What is -3178*c(d) + 3*s(d)? 454*d**3 Let o(w) = 3*w. Let u(f) = -5*f. Let r(m) = -5*o(m) - 2*u(m). Let a be ((-3)/(-6))/((-2)/(-24)). Let s(j) = 4*j. What is a*s(i) + 4*r(i)? 4*i Let t(i) = -3*i - 17 + 1 + 21. Let a(v) = 3*v + 6. Let w(h) = -7*h - 13. Let n(u) = -9*a(u) - 4*w(u). Determine 5*n(k) + 2*t(k). -k Suppose -52*t + 51*t = -3*r - 24, 0 = 5*r - 5*t + 50. Let p(o) = -5*o + 7. Let c(z) = -3*z + 4. Give r*c(w) + 4*p(w). w Let n(o) = 7*o**2 - 42*o - 2. Let x(w) = 2*w**2 - 22*w - 1. Determine -3*n(g) + 5*x(g). -11*g**2 + 16*g + 1 Let q(l) = -1. Let j(c) = c - 7. Let f(m) = 2*m - 10. Let h(d) = f(d) - j(d). Calculate -h(t) + 3*q(t). -t Let k(j) = 2*j. Let c(p) = -2*p**2 + 8*p - 45. What is c(q) - 2*k(q)? -2*q**2 + 4*q - 45 Let u(x) = -6*x**2 - 14*x. Let t(v) = -v**2 + v. Determine 8*t(b) - u(b). -2*b**2 + 22*b Let m(f) = 8*f - 10. Let h(q) = -4*q + 5. Suppose 0 = 15*b + 114*b + 387. What is b*m(c) - 5*h(c)? -4*c + 5 Let k(u) = 39*u - 1. Let n(g) = 39*g - 1. Give 3*k(b) - 4*n(b). -39*b + 1 Suppose 0 = 4*k - k - 3. Suppose 0 = 2*u + k + 9. Let r(t) = -t**3 - 7*t**2 - 7*t. Let x(v) = -v**3 - 5*v**2 - 5*v. Give u*r(n) + 7*x(n). -2*n**3 Let g(n) = 6*n**2 + 4*n + 15. Let f(v) = v**2 - v. What is -3*f(k) - g(k)? -9*k**2 - k - 15 Let x(k) = k**3 - k**2 - 2*k - 4. Suppose 0*c = 5*c + 3*o - 10, -2*o = c - 9. Let z(j) = 5 + 0 - 1 - 3. Give c*x(s) - 4*z(s). -s**3 + s**2 + 2*s Let t(c) = 607*c**2 + 6*c - 6. Let g(f) = -12138*f**2 - 119*f + 119. Calculate 6*g(q) + 119*t(q). -595*q**2 Let m(p) = 1. Let c be -6 + 40/8 + 5. Let a(f) = f**2 - 8*f + 2. Give c*m(t) - a(t). -t**2 + 8*t + 2 Let b(h) = -4*h**3 - 3*h**2 + 1. Let o(d) = -2*d - 83. Let a be o(-37). Let w(s) = -16*s**3 - 13*s**2 + 5. Calculate a*b(t) + 2*w(t). 4*t**3 + t**2 + 1 Let h(w) = -6061*w**3 + 203*w**2 + 203*w + 203. Let f(c) = 60*c**3 - 2*c**2 - 2*c - 2. Determine 203*f(p) + 2*h(p). 58*p**3 Let o(y) = 8*y**3 - y**2 - 6*y. Let z(j) = -j - j**2 + 9*j**3 - 2*j - 4*j. Let m(q) = 11*q + 390. Let i be m(-36). Calculate i*z(k) + 7*o(k). 2*k**3 - k**2 Let a(b) be the third derivative of b**5/60 - 5*b**4/24 - b**3/2 - 14*b**2 + 1. Let z(o) = -o**2 + 3*o + 2. What is -3*a(u) - 5*z(u)? 2*u**2 - 1 Let y(h) = 10*h**3 - 6*h**2 - 18*h + 4. Let c(b) = -b**3 + b**2. Calculate -8*c(l) - y(l). -2*l**3 - 2*l**2 + 18*l - 4 Let a = -61 - 14. Let n = a - -77. Let v(c) = 5*c**3 - 4*c**2 - 3. Let d(m) = -4*m**3 + 4*m**2 + 2. Determine n*v(h) + 3*d(h). -2*h**3 + 4*h**2 Let s(q) be the first derivative of -q**4/4 - q**3/3 - 3*q**2/2 + 4. Let v(f) = -2*f**3 - 2*f**2 - 8*f. Suppose 0 = l + 4*l - 40. Calculate l*s(x) - 3*v(x). -2*x**3 - 2*x**2 Let m(f) = -11. Let p(l) = 3. Let x(a) = m(a) + 2*p(a). Let h(q) = q + 14. What is 3*h(j) + 8*x(j)? 3*j + 2 Let q(z) = -3*z. Let m(h) = -6*h. Let u(x) = x**3 + 6*x**2 + 7*x. Let c be u(-4). Suppose -c*f + 8 = -4*o, 4 = -f - 0*f. What is o*m(g) + 11*q(g)? 3*g Let s = -116 + 117. Let u(m) = m**3. Let z(w) = 7*w**3 + 2*w**2. Calculate s*z(l) + 2*u(l). 9*l**3 + 2*l**2 Let a(s) = 3*s**3 + 2*s**2 + 3*s. Let o(h) = 3*h**3 + h**2 + 2*h. Suppose -28*n + 28 = -14*n. What is n*a(v) - 3*o(v)? -3*v**3 + v**2 Let y(k) = 14*k**3 + 45*k. Let u(p) = 12*p**3 + 45*p. What is -6*u(g) + 5*y(g)? -2*g**3 - 45*g Let d(s) = 3*s - 6. Let y(f) = 16*f - 30. Suppose 5*g - 5*c = 0, c + 6 = 2*g - 4*g. Give g*y(m) + 11*d(m). m - 6 Let v(k) = -10*k + 2*k + 6*k + 8*k**2 + 2*k**3 - 6*k**2. Let f(a) = 3*a + 166*a**2 - 170*a**2 - 4*a**3 + a. Give -4*f(q) - 9*v(q). -2*q**3 - 2*q**2 + 2*q Let m(t) = -7*t + 2. Let x(a) = -a. Let d(j) = m(j) - 2*x(j). Suppose -2*b + b + 7 = 0. Let h(o) = -o - 2*o - 9*o - 4*o + b. Give -7*d(l) + 2*h(l). 3*l Let x(w) = -4*w - 4. Let t be x(5). Let q(p) = 9*p**2 - 8*p - 8. Let d(s) be the first derivative of 1/2*s**2 - 1/3*s**3 + s - 9. Give t*d(u) - 3*q(u). -3*u**2 Let q(w) = -4*w. Let d(m) = m - 1. Let j(v) = -v + 4. Let g(h) = 12*d(h) + 3*j(h). Let f = 656 + -650. Calculate f*g(b) + 13*q(b). 2*b Let t(k) = 5*k**3 - 10*k**2 - 4*k - 2. Let v(x) = -11*x**3 + 20*x**2 + 9*x + 4. Calculate -9*t(f) - 4*v(f). -f**3 + 10*f**2 + 2 Suppose 12 = 16*a + 60. Let c(h) = -6*h**2 - 3*h - 3. Let r(i) = 30*i**2 + 16*i + 16. Determine a*r(l) - 16*c(l). 6*l**2 Let s(j) = -103*j. Let d(n) = 24000*n. Calculate 3*d(r) + 700*s(r). -100*r Let i(p) = 29*p**3 - 11*p + 28. Let g(c) = -14*c**3 + 6*c - 15. Determine 11*g(l) + 6*i(l). 20*l**3 + 3 Let y(j) = -8*j - 15. Let z(a) = 3*a + 13. Let c(b) = 9*b + 43. Let d(s) = -2*c(s) + 7*z(s). Determine -11*d(v) - 4*y(v). -v + 5 Suppose 14 = 21*n - 7. Let i(q) = q + 1. Let f = -1 - -5. Let p be f/3 - 2/(-3). Let w(a) = -2*a**3 - 3*a - 2. What is n*w(h) + p*i(h)? -2*h**3 - h Let g be -1*3 - (-4 + 5). Let v = g - 0. Let z(k) = k**2 + k. Let i(t) = -7*t**3 - 3*t**3 + 2*t + 2*t**2 + 9*t**3 - 1. Give v*z(a) + 2*i(a). -2*a**3 - 2 Let b(c) = -c. Let k(u) = -u. Let r = 27 + -31. Calculate r*k(q) + 5*b(q). -q Let y(d) = d - 1. Let u(j) = -28*j - 2. Give -u(g) + 3*y(g). 31*g - 1 Let l(c) = -4*c**2 + 92. Let p(d) = 5*d**2 - 94. Give 3*l(r) + 2*p(r). -2*r**2 + 88 Let f(a) = -3*a - 3. Suppose 4*m + 3*g + 5 = -0*g, -g = 4*m + 15. Let w(q) be the second derivative of 25*q - 1/6*q**3 - 1/2*q**2 + 0. Calculate m*w(u) + f(u). 2*u + 2 Let v(z) = -124*z - 6. Let g(s) = -50715*s - 2457. Determine 6*g(d) - 2457*v(d). 378*d Let o = -33 - -38. Let j(w) = 8*w**3 - 84*w**2 - o + 84*w**2. Let c(i) = 9*i**3 - 6. Let u = -13 + 7. Calculate u*j(v) + 5*c(v). -3*v**3 Let m(q) = 15*q**3 + 6*q + 2. Let g(a) = -14*a**3 - 7*a - 3. Calculate -2*g(r) - 3*m(r). -17*r**3 - 4*r Let l(y) = -2*y**3 - 12*y**2 + 711*y. Let j(i) = -4*i**3 - 26*i**2 + 1422*i. Give -6*j(r) + 13*l(r). -2*r**3 + 711*r Let q(g) = 35*g**3 + 4*g**2 - 9*g - 8. Let l(x) = 71*x**3 + 9*x**2 - 20*x - 17. Determine 4*l(p) - 9*q(p). -31*p**3 + p + 4 Let b(x) = 3*x**2 + 2*x**2 + 7*x**3 - 3*x - 5*x**3 + 3 - 2*x**2. Let n(u) = 3*u**3 + 5*u**2 - 5*u + 5. Let i = 173 + -168. Give i*b(o) - 3*n(o). o**3 Let v(z) = -z**2 - 5. Let l(j) = -j**2. Let k(m) be the second derivative of -m**4/12 + m**2/2 - 23*m. Let u(y) = -4*k(y) + 5*l(y). Determine -4*u(s) + 3*v(s). s**2 + 1 Let l(c) = -16*c**3 + 11*c**2 + 22*c - 29. Let f(z) = 8*z**3 - 6*z**2 - 12*z + 15. Determine -11*f(y) - 6*l(y). 8*y**3 + 9 Let z(w) = -2*w**2 + 6*w - 1. Let n(p) = -p**2 - 3*p + 1. Calculate -2*n(b) - 2*z(b). 6*b**2 - 6*b Let x(s) = 6*s**3 - 2*s**2 - 2*s - 2. Let j be 1/(-1)*(3 + 40/5). Let n(d) = -30*d**3 + 11*d**2 + 11*d + 11. What is j*x(q) - 2*n(q)? -6*q**3 Let c(n) = n**2 - n + 1. Let j be (-4 - -4)/(2 + -4). Suppose 3 + j = 4*v + 5*q, -3*v - q = -5. Let z(o) = o**3 + o**2 - o + 1. Give v*z(t) - 2*c(t). 2*t**3 Let o(z) = -291*z - 5 + 4 + 289*z. Suppose 0 = -2*j - 6. Let l(a) = a + 1. Determine j*o(f) - 5*l(f). f - 2 Let h(r) = r**2 - 7*r + 6. Let w be h(4). Let f(q) = 3*q - 20*q + 16*q. Let u(l) = -7*l - 1. What is w*f(a) + u(a)? -a - 1 Let u(d) = -3*d**2 + d - 2. Let r(y) = -y - 62*y**2 + 135*y**2 - 70*y**2 + 1. Determine 4*r(n) + 3*u(n). 3*n**2 - n - 2 Let q(r) = 8*r**3 - 5*r + 7. Let z(n) = -8*n**3 + 7*n - 7. Let x(g) = 4*q(g) + 3*z(g). Let l(o) = -9*o**3 - o - 8. What is -5*l(p) - 6*x(p)? -3*p**3 - p - 2 Let o(c) = -26*c**2 - 23*c - 13. Let u(q) = 8*q**2 + 7*q + 4. Let g(y) = -2*o(y) - 7*u(y). Let a(p) = -17*p**2 - 13*p - 8. Calculate -6*a(d) + 26*g(d). -2*d**2 - 4 Let j(i) = -14*i**3 - 3*i**2 - 3*i + 3. Let p(y) = 6 - y - 2 - 4*y**2 - 9*y + 6*y - 5*y**3 - 10*y**3. What is -4*j(t) + 3*p(t)? 11*t**3 Let u(r) = 11*r**2 + r + 17. Let v(g) = 24*g**2 + 2*g + 33. Determine -9*u(y) + 4*v(y). -3*y**2 - y - 21 Let i(o) = -276*o - 11. Let d(n) = 141*n + 5. Calculate -9*d(l) - 4*i(l). -165*l - 1 Let o(y) = y**2 - 9*y + 6. Let i(s) = 1. Let k(l) = 2*i(l) - o(l). Let c be k(8). Let m(r) = 2*r**2 - r. Let j(a) = 3*a**2 - a. Give c*m(t) - 3*j(t). -t**2 - t Let a(w) = -w**3 + 21*w**2 - 19*w - 25. Let h be a(20). Let o(y) = y**3 + 2*y - 8. Let i(f) = -2*f**3 - 5*f + 17. Give h*o(x) - 2*i(x). -x**3 + 6 Let v(w) = 2*w**2 - 7*w - 1. Let b(j) = -1 + 0*j**2
{ "pile_set_name": "DM Mathematics" }
emainder when g is divided by 9. 5 Suppose 70 = 5*l + 6*m - 2*m, 2*m = 0. What is the remainder when l is divided by 3? 2 Let j(q) = -q**3 - 10*q**2 - 10*q - 7. Let b be j(-9). Suppose d = -b*d + 33. What is the remainder when 21 is divided by d? 10 Let d(p) = 10*p**3 - 2*p**2 + 3*p + 3. What is the remainder when d(2) is divided by 30? 21 Let p = 5 + 6. Calculate the remainder when -12*((-5)/3 + -1) is divided by p. 10 Let a(r) = -4*r + 22. Let b(w) = -3*w + 23. Let m(d) = 3*a(d) - 2*b(d). Calculate the remainder when m(-9) is divided by 15. 14 Let d(a) = -a + 11. Let z = 9 - 3. Calculate the remainder when 18 is divided by d(z). 3 Suppose 10*r - 5*r - 135 = 0. Suppose -11 = -2*i - l, -4*l + 0*l = i + 5. What is the remainder when r is divided by i? 6 What is the remainder when 74 + 0/(-1) - 3 is divided by 18? 17 Calculate the remainder when 9 is divided by ((-16)/24)/(2/(-18)). 3 Let m(p) be the third derivative of p**4/6 - p**3/2 - 2*p**2. Suppose -2*g + 14 = 6. Calculate the remainder when m(g) is divided by 7. 6 Suppose -c + 3*c - 122 = 0. Let q = -35 + c. Calculate the remainder when 102 is divided by q. 24 Let s be 1/(-2)*10*-1. Suppose o = l, -l + 2*l = s*o - 16. Suppose -5*k + 26 = -2*b - l, -57 = -4*k - 5*b. What is the remainder when 15 is divided by k? 7 Let n(j) = -j**2 - 8*j - 7. Let h be n(-7). Suppose -5*u = -10 - h, 0 = a + 3*u - 8. What is the remainder when a is divided by 2? 0 Let k(x) = x**2 + x - 7. Let u(y) be the third derivative of 5*y**5/12 + y**4/24 + 2*y**2. Calculate the remainder when u(-1) is divided by k(-5). 11 Let p(m) = -m**2 - 12*m + 3. Calculate the remainder when 26 is divided by p(-11). 12 Let g = -7 - 3. Suppose 2*n - 28 + 2 = 5*c, 21 = 3*n - 3*c. Calculate the remainder when 37 is divided by n/(-15) + (-132)/g. 11 What is the remainder when 7 is divided by (5 + -1)*3/4? 1 Calculate the remainder when 656/12 + (-4)/6 is divided by 19. 16 Suppose 4 = 3*w + 1. Let d be (6/w)/(2 - 0). Let u(s) = -s**3 + 3*s**2 + 2*s + 2. Calculate the remainder when u(d) is divided by 3. 2 Let s(j) = 3*j - 17. Suppose -64 + 9 = -5*q. Calculate the remainder when q is divided by s(7). 3 Suppose 134 = 5*s + 2*j, -3*s - 109 = -7*s - j. Calculate the remainder when 108 is divided by s. 24 Let u(a) be the third derivative of -3*a**4/8 - 5*a**3/3 + a**2. Suppose -v + 2*v - 3*l = 9, -l = 2*v - 39. Calculate the remainder when u(-5) is divided by v. 17 Let f = -15 + 17. Suppose -t - r + f*r = -42, -r = -2*t + 81. Calculate the remainder when t is divided by 10. 9 Let u = -9 - -13. Suppose 5*j = -4*l + 61, u*j + 2*l - 49 = -l. Suppose 3*h - 118 = -7. Calculate the remainder when h is divided by j. 11 Suppose 6 = 6*b - b - 4*s, 5*b - s - 9 = 0. Calculate the remainder when 28 is divided by b. 0 Let u = -26 - -45. Let n(l) = -4*l + 3. What is the remainder when u is divided by n(-2)? 8 Suppose 534 = 4*t - t + 2*m, 0 = -4*m. What is the remainder when t is divided by 36? 34 Suppose 0 = n + 2*n - 2*k - 42, 3*k = 4*n - 56. Let w(r) = -10*r - 14. Let l be w(-10). Let s = l - 46. What is the remainder when s is divided by n? 12 Suppose 9*m = 159 + 84. Calculate the remainder when 52 is divided by m. 25 Suppose 4*u + 5*w = -0*u + 271, -4*u = 4*w - 276. Calculate the remainder when u is divided by 25. 24 Let g = 2 - -3. Calculate the remainder when 17 is divided by g. 2 Suppose -3*i + 6*i = 75. Suppose -i = -5*s, -4*s = 2*k + 2*k - 64. Calculate the remainder when 41 is divided by k. 8 Suppose 5*f = 10*f - 40. Let u(k) = k**2 + 5*k - 7. What is the remainder when u(-9) is divided by f? 5 Suppose -3*h + 2*a - 35 = 0, -2*a + 4 + 4 = 0. Let z = 18 + h. What is the remainder when z is divided by 4? 1 Calculate the remainder when (-4)/(-5)*(-440)/(-16) is divided by 13. 9 Let h(u) = -u**2 + u + 1. Let j(x) = -4*x**2 - 7*x. Let l(y) = -4*h(y) - j(y). Calculate the remainder when l(-3) is divided by 15. 14 Let t = -48 - -91. What is the remainder when t is divided by 23? 20 Suppose -d - q + 13 = 0, -2*d + 46 - 19 = q. Calculate the remainder when 26 is divided by d. 12 Let r(i) = i**2 - 6*i - 8. Let o(a) = -8*a**3 - a**2 + 1. Let m be o(-1). What is the remainder when (-26)/3*3/(-2) is divided by r(m)? 5 Suppose 0 = o + 2*o + 219. Let g = 108 + o. What is the remainder when g is divided by 19? 16 Suppose 4*c - 190 = -6*c. Calculate the remainder when 33 is divided by c. 14 Let d(t) = -t**3 - 2*t**2 + 2. Let n = 2 + -4. Let u be d(n). Suppose -4*r + 14 = -r - f, -u*r + f = -8. What is the remainder when 16 is divided by r? 4 What is the remainder when 30 + 7 + (-1 - -1) + -3 is divided by 9? 7 Let g = -5 - 0. Suppose m + 2*b = 4*m - 122, m = 3*b + 50. Calculate the remainder when m is divided by (-2)/(g/(130/4)). 12 Let n(g) = 2*g - g**2 - g**3 - 4*g**2 - 6 - 4*g + 2*g**3. Let w = 21 - 15. What is the remainder when n(w) is divided by 10? 8 Let p = 597 - 373. Calculate the remainder when p is divided by 57. 53 Let p = -61 + 90. What is the remainder when 54 is divided by p? 25 Let l(p) = 4*p**2 - 5*p**2 + 1 - 7 + 9*p. Let h be l(6). Suppose s + 3*s = h. What is the remainder when s is divided by 2? 1 Suppose 0 = 4*k - l - 75, -60 = -4*k - l - 3*l. Calculate the remainder when 71 is divided by k. 17 Let w be 13 - (-3 + (-2)/(-1)). Suppose 4*i + 18 + 2 = 0. Let y = i + w. What is the remainder when y is divided by 5? 4 Let k(d) = -7*d - 10. Calculate the remainder when 142 is divided by k(-4). 16 Let t = 47 + -25. Suppose -2*d = 2*z - 34, 5*z + 5*d - 37 = 4*z. What is the remainder when t is divided by z? 10 Let j be 498/14 + (-3)/(-7). Suppose 4*g - j = h + 12, 0 = -4*g + 4*h + 60. What is the remainder when 30 is divided by g? 8 Let q = 82 - 58. Suppose 0*o - q = -2*o. Calculate the remainder when o is divided by 7. 5 Let u = 15 - 5. Suppose 2 = -2*k + u. Suppose 0 = -y - 0*y + k. What is the remainder when 9 is divided by y? 1 What is the remainder when 67 is divided by (-144)/(-10) + 24/(-60)? 11 Let p(x) be the second derivative of -x**5/20 + x**4/4 + 5*x**3/6 + 3*x**2/2 + 2*x. Let f = -15 + 19. Calculate the remainder when 25 is divided by p(f). 4 Let q(t) = -t**3 + t**2 + 9*t + 6. What is the remainder when 44 is divided by q(-3)? 14 Suppose 51 = 3*c - 2*c. What is the remainder when c is divided by 13? 12 What is the remainder when 45*3*32/80 is divided by 14? 12 Suppose 0 = 4*i - 2 + 18, -3*a + 3*i + 36 = 0. Calculate the remainder when 30 is divided by a. 6 Let j = -7 - 0. Let c = 12 + j. Suppose 5*b + c*t - 35 = 0, 5*b - 5*t = -2*t + 51. Calculate the remainder when 25 is divided by b. 7 Let j = 21 + -15. What is the remainder when 15 is divided by j? 3 Let o(d) = d**3 + d + 3. Let x(j) = -j**3 - j - 3. Let s(u) = -6*o(u) - 7*x(u). What is the remainder when 3 is divided by s(0)? 0 Let g(u) = 2*u**2 + 10*u - 9. What is the remainder when g(-8) is divided by (-128)/(-9) - (-4)/(-18)? 11 Let y = 0 - 2. Suppose -100 = -3*s + 26. Calculate the remainder when 1 + -1 + y + s is divided by 14. 12 Let q(u) = u**2 + 4*u + 8. What is the remainder when 97 is divided by q(-6)? 17 Suppose -13*x = -2*x - 143. Let o = -33 - -57. What is the remainder when o is divided by x? 11 Let w(s) = -12*s**2 + 5*s**2 + s**3 - 5 + 8*s + 6. What is the remainder when 63 is divided by w(6)? 11 Let x = 63 - 13. What is the remainder when x is divided by 13? 11 Let w = 48 + -12. Let c = w + -25. Suppose 0 = -4*u + 3*m + 109, -u - m = 3*m - 51. Calculate the remainder when u is divided by c. 9 Let c(n) = 2*n**3 + n**2 - 2*n + 1. Let d be c(1). Suppose -186 = -k - d*k. Calculate the remainder when k is divided by 16. 14 Suppose 5*j + a - 82 = 2*j, 2*a = 5*j - 122. Suppose o + 5*c = 11 + j, -3*o - 5*c = -71. Let q = 2 + o. Calculate the remainder when q is divided by 10. 9 Let l(z) = -z**3 + 7*z**2 - 2*z. Let t be l(4). Suppose 5*d = 5*x + 90, -4*d + 73 = -x + 13. Let w = t - d. What is the remainder when w is divided by 9? 8 Suppose g = 2*g - 21. Let m = g - 1. Suppose -5*o = d + d - 65, -5*d = -25. What is the remainder when m is divided by o? 9 Let f(x) = -x**3 + 4*x**2 + 2*x - 1. Let m be ((-10)/15)/(1/(-6)). Let p(y) = 2*y. Calculate the remainder when f(m) is divided by p(2). 3 Let q(r) = r**3 + 4*r**2 - 6*r - 5. Let c be q(-5). What is the remainder when 34 is
{ "pile_set_name": "DM Mathematics" }
7, -5658342296, -5658342295, -5658342294, -5658342293? w - 5658342299 What is the d'th term of 1600375, 3200723, 4801069, 6401413, 8001755? -d**2 + 1600351*d + 25 What is the b'th term of -3652, -14419, -32368, -57499, -89812? -3591*b**2 + 6*b - 67 What is the h'th term of 6359040, 6359020, 6358984, 6358932, 6358864, 6358780, 6358680? -8*h**2 + 4*h + 6359044 What is the r'th term of 92, 321, 706, 1241, 1920, 2737, 3686, 4761? -r**3 + 84*r**2 - 16*r + 25 What is the y'th term of -571, -1109, -1631, -2131, -2603, -3041? y**3 + 2*y**2 - 551*y - 23 What is the h'th term of 19872749, 19872745, 19872739, 19872731, 19872721, 19872709? -h**2 - h + 19872751 What is the z'th term of 195783, 783016, 1761753, 3132006, 4893787, 7047108, 9591981? 2*z**3 + 195740*z**2 - z + 42 What is the t'th term of -10371, -17788, -25205, -32622, -40039, -47456? -7417*t - 2954 What is the b'th term of 23390, 91701, 204928, 363071, 566130, 814105? 22458*b**2 + 937*b - 5 What is the b'th term of -47, -85, -149, -251, -403? -2*b**3 - b**2 - 21*b - 23 What is the k'th term of 4482831, 8965666, 13448501? 4482835*k - 4 What is the f'th term of 520222, 1040452, 1560684, 2080918, 2601154, 3121392? f**2 + 520227*f - 6 What is the d'th term of -14645, -14682, -14723, -14768, -14817, -14870? -2*d**2 - 31*d - 14612 What is the f'th term of -403174, -403071, -402968, -402865, -402762, -402659? 103*f - 403277 What is the g'th term of -1785680, -3571358, -5357038, -7142720, -8928404? -g**2 - 1785675*g - 4 What is the i'th term of 3598, 15551, 35862, 64525, 101534, 146883, 200566, 262577? -i**3 + 4185*i**2 - 595*i + 9 What is the v'th term of 4802305, 9604643, 14406995, 19209367, 24011765, 28814195? v**3 + v**2 + 4802328*v - 25 What is the d'th term of 2950767, 2950766, 2950765, 2950764? -d + 2950768 What is the m'th term of -378, -502, -528, -456, -286? 49*m**2 - 271*m - 156 What is the t'th term of -9952, -9956, -9932, -9856, -9704, -9452? 4*t**3 - 10*t**2 - 2*t - 9944 What is the m'th term of 3500, 27908, 94178, 223244, 436040? 3489*m**3 - 3*m**2 - 6*m + 20 What is the o'th term of -808, -6361, -21434, -50791, -99196, -171413, -272206, -406339? -794*o**3 + 4*o**2 - 7*o - 11 What is the r'th term of 127966, 255831, 383696? 127865*r + 101 What is the m'th term of -35782, -137056, -305838, -542122, -845902, -1217172? m**3 - 33760*m**2 - m - 2022 What is the b'th term of 14647, 29323, 43999, 58675, 73351? 14676*b - 29 What is the a'th term of -69156, -69258, -69358, -69456, -69552, -69646, -69738? a**2 - 105*a - 69052 What is the l'th term of 5920, 23862, 53818, 95788, 149772, 215770, 293782? 6007*l**2 - 79*l - 8 What is the x'th term of -18835638, -18835640, -18835642, -18835644? -2*x - 18835636 What is the p'th term of 2997, 6243, 9491, 12741? p**2 + 3243*p - 247 What is the u'th term of -30325560, -60651115, -90976672, -121302231, -151627792? -u**2 - 30325552*u - 7 What is the z'th term of -79572, -79579, -79578, -79563, -79528? z**3 - 2*z**2 - 8*z - 79563 What is the v'th term of 44065, 43457, 42845, 42229, 41609, 40985? -2*v**2 - 602*v + 44669 What is the l'th term of -13576, -13112, -12648, -12184, -11720, -11256? 464*l - 14040 What is the i'th term of 494, 1256, 2280, 3560, 5090? -i**3 + 137*i**2 + 358*i What is the v'th term of 27985, 26910, 25835? -1075*v + 29060 What is the f'th term of -4239, -10983, -17727? -6744*f + 2505 What is the b'th term of -5340, -5694, -6056, -6426? -4*b**2 - 342*b - 4994 What is the b'th term of 2883, 11309, 25285, 44817, 69911? b**3 + 2769*b**2 + 112*b + 1 What is the z'th term of -7386, -7429, -7472, -7515, -7558? -43*z - 7343 What is the f'th term of -7325, -14402, -21219, -27776, -34073, -40110, -45887? 130*f**2 - 7467*f + 12 What is the c'th term of -13898728, -13898694, -13898638, -13898560, -13898460, -13898338, -13898194? 11*c**2 + c - 13898740 What is the f'th term of 483129471, 483129476, 483129483, 483129492, 483129503? f**2 + 2*f + 483129468 What is the m'th term of -309, -2362, -7915, -18714, -36505, -63034? -291*m**3 - 4*m**2 - 4*m - 10 What is the v'th term of 2408984, 2408989, 2408994, 2408999, 2409004? 5*v + 2408979 What is the b'th term of -83287, -83128, -82969, -82810, -82651? 159*b - 83446 What is the q'th term of -53315, -60812, -81161, -120788, -186119, -283580? -1071*q**3 - 52244 What is the h'th term of -3097, -12096, -27093, -48088, -75081, -108072, -147061? -2999*h**2 - 2*h - 96 What is the w'th term of -113360, -226728, -340104, -453488, -566880, -680280, -793688? -4*w**2 - 113356*w What is the u'th term of 13705, 27430, 41165, 54910? 5*u**2 + 13710*u - 10 What is the t'th term of -44580, -45407, -46768, -48663, -51092, -54055? -267*t**2 - 26*t - 44287 What is the c'th term of -365353, -365405, -365499, -365641, -365837? -c**3 - 15*c**2 - 365337 What is the t'th term of 149120, 298179, 447238, 596297? 149059*t + 61 What is the q'th term of -21259085, -21259065, -21259045, -21259025, -21259005? 20*q - 21259105 What is the v'th term of 11461, 39974, 87499, 154036, 239585, 344146? 9506*v**2 - 5*v + 1960 What is the h'th term of 1326, 10402, 35018, 82944, 161950, 279806, 444282? 1295*h**3 + 11*h + 20 What is the c'th term of -7786, -26407, -55862, -96151, -147274, -209231? -5417*c**2 - 2370*c + 1 What is the g'th term of -16410276, -65641102, -147692486, -262564434, -410256952, -590770046, -804103722, -1050257986? -g**3 - 16410273*g**2 - 2 What is the g'th term of 3241, 3273, 3383, 3619, 4029? 8*g**3 - 9*g**2 + 3*g + 3239 What is the a'th term of -715735, -1431471, -2147207, -2862943? -715736*a + 1 What is the b'th term of -227745, -454965, -682185, -909405, -1136625, -1363845? -227220*b - 525 What is the p'th term of 875, 6720, 22593, 53510, 104487, 180540, 286685, 427938? 836*p**3 - 2*p**2 - p + 42 What is the k'th term of -61163894, -61163895, -61163896, -61163897? -k - 61163893 What is the j'th term of -7866, -7678, -7410, -7068, -6658, -6186? -j**3 + 46*j**2 + 57*j - 7968 What is the q'th term of 5122162, 10244325, 15366488, 20488651? 5122163*q - 1 What is the v'th term of 4918, 20701, 47038, 83929, 131374, 189373? 5277*v**2 - 48*v - 311 What is the i'th term of -2841610, -5683133, -8524656, -11366179? -2841523*i - 87 What is the v'th term of 69061966, 69061967, 69061968, 69061969, 69061970, 69061971? v + 69061965 What is the x'th term of 202873, 811493, 1825877, 3246037, 5071985, 7303733, 9941293, 12984677? 2*x**3 + 202870*x**2 - 4*x + 5 What is the y'th term of -550890, -1101779, -1652674, -2203575, -2754482, -3305395? -3*y**2 - 550880*y - 7 What is the j'th term of 143133, 286168, 429203, 572238? 143035*j + 98 What is the m'th term of -13712, -13664, -13588, -13484, -13352? 14*m**2 + 6*m - 13732 What is the t'th term of 7226, 28510, 64012, 113738, 177694, 255886, 348320, 455002? t**3 + 7103*t**2 - 32*t + 154 What is the t'th term of 11208, 22672, 34138, 45606, 57076, 68548? t**2 + 11461*t - 254 What is the d'th term of 891404, 1782804, 2674202, 3565598, 4456992, 5348384? -d**2 + 891403*d + 2 What is the a'th term of -31241, -31753, -32263, -32771, -33277? a**2 - 515*a - 30727 What is the d'th term of -3839689, -3839708, -3839727, -3839746, -3839765, -3839784? -19*d - 3839670 What is the a'th term of -595100, -1190195, -1785284, -2380367? 3*a**2 - 595104*a + 1 What is the q'th term of 136843, 272600, 408357? 135757*q + 1086 What is the v'th term of 958, 3647, 8066, 14215, 22094? 865*v**2 + 94*v - 1 What is the g'th term of -2342571, -2342555, -2342539, -2342523, -2342507? 16*g - 2342587 What is the r'th term of -556, -755, -932, -1075, -1172, -1211? 2*r**3 - r**2 - 210*r - 347 What is the o'th term of -12351233, -49404939, -111161117, -197619767, -308780889, -444644483, -605210549? -12351236*o**2 + 2*o + 1 What is the r'th term of 205465810, 205465811, 205465812, 205465813, 205465814? r + 205465809 What is the s'th term of 15713, 14676, 13639, 12602, 11565? -1037*s + 16750 What is the k'th term of -3957, -16309, -37085, -66285? -4212*k**2 + 284*k - 29 What is the a'th term of -3986014, -3986024, -3986034? -10*a - 3986004 What is the i'th term of -7795, -8677, -9575, -10495, -11443, -12425, -13447, -14515? -i**3 - 2*i**2 - 869*i - 6923 What is the m'th term of -933, -2235, -4437, -7539? -450*m**2 + 48*m - 531 What is
{ "pile_set_name": "DM Mathematics" }
sequence xxu when three letters picked without replacement from frxuxrxfxxpx. 1/44 Calculate prob of sequence kk when two letters picked without replacement from cskrkskdkd. 2/15 Two letters picked without replacement from ruunurnurrurnrrurrnr. What is prob of sequence nu? 6/95 What is prob of sequence rh when two letters picked without replacement from {r: 4, h: 2}? 4/15 What is prob of sequence bbs when three letters picked without replacement from ssssssssssbbssssbs? 5/272 Four letters picked without replacement from ndxngxnnn. What is prob of sequence gdxd? 0 Four letters picked without replacement from {i: 2, u: 6, d: 4, r: 4, n: 4}. What is prob of sequence rrir? 2/4845 Calculate prob of sequence mm when two letters picked without replacement from gvammvgggmelgamaaaaa. 3/95 Four letters picked without replacement from aaafabbababbfbbfaa. Give prob of sequence abfa. 49/3060 Calculate prob of sequence yx when two letters picked without replacement from {y: 16, x: 4}. 16/95 Calculate prob of sequence yyy when three letters picked without replacement from {u: 15, y: 4}. 4/969 Two letters picked without replacement from cckcpckkc. Give prob of sequence kp. 1/24 What is prob of sequence jn when two letters picked without replacement from {j: 3, c: 1, n: 1}? 3/20 What is prob of sequence iwi when three letters picked without replacement from {g: 12, i: 3, w: 2}? 1/340 Three letters picked without replacement from aaaaaalalo. What is prob of sequence aoa? 7/120 Three letters picked without replacement from {j: 4, h: 1, n: 4, z: 4, t: 1, y: 1}. What is prob of sequence yzj? 8/1365 What is prob of sequence rdd when three letters picked without replacement from {d: 7, r: 3, j: 8}? 7/272 Two letters picked without replacement from {v: 2, u: 1, n: 2}. What is prob of sequence uv? 1/10 Calculate prob of sequence wm when two letters picked without replacement from ywwwmwymmw. 1/6 Four letters picked without replacement from {e: 4, t: 1, y: 5, o: 1}. Give prob of sequence teye. 1/132 What is prob of sequence ua when two letters picked without replacement from uuuuaaaaau? 5/18 Calculate prob of sequence di when two letters picked without replacement from {v: 3, i: 1, w: 1, c: 3, n: 2, d: 1}. 1/110 Calculate prob of sequence ttss when four letters picked without replacement from {i: 1, s: 2, t: 11}. 5/546 Calculate prob of sequence qq when two letters picked without replacement from {t: 8, r: 1, s: 9, q: 2}. 1/190 Two letters picked without replacement from kgtvgvv. Give prob of sequence kv. 1/14 Calculate prob of sequence sff when three letters picked without replacement from {f: 9, s: 10}. 40/323 What is prob of sequence xff when three letters picked without replacement from fxffx? 1/5 What is prob of sequence lul when three letters picked without replacement from {f: 4, u: 5, l: 5}? 25/546 Two letters picked without replacement from iditavv. Give prob of sequence dt. 1/42 Four letters picked without replacement from bbbdbbbbvjdjobbbbbbb. What is prob of sequence ddbb? 91/29070 Four letters picked without replacement from eddrrqdrqdedd. Give prob of sequence edde. 1/286 Three letters picked without replacement from {u: 2, s: 6, k: 2, c: 1, a: 3, v: 1}. Give prob of sequence uua. 1/455 Calculate prob of sequence rpp when three letters picked without replacement from {r: 3, x: 1, a: 6, p: 3}. 3/286 Four letters picked without replacement from {g: 6, j: 4}. What is prob of sequence gjjg? 1/14 Calculate prob of sequence vvb when three letters picked without replacement from bvvvbbv. 6/35 Two letters picked without replacement from {g: 1, c: 7}. Give prob of sequence cc. 3/4 Three letters picked without replacement from reqqlqhraqlr. Give prob of sequence rha. 1/440 Two letters picked without replacement from ngneeg. Give prob of sequence ge. 2/15 Calculate prob of sequence sp when two letters picked without replacement from sptspmjss. 1/9 Three letters picked without replacement from lgbbbbqlllqbqlb. What is prob of sequence lbb? 5/91 Two letters picked without replacement from phphphppppphhhxpphp. What is prob of sequence pp? 55/171 Two letters picked without replacement from zttzztztztztz. Give prob of sequence tt. 5/26 Two letters picked without replacement from nhnhpzpqpphb. Give prob of sequence nq. 1/66 Two letters picked without replacement from hzhzhtpzhqhqphttyhhh. Give prob of sequence hq. 9/190 Two letters picked without replacement from vvvvrvvrkrvvvpkv. Give prob of sequence kk. 1/120 Four letters picked without replacement from {h: 2, e: 7, x: 1, l: 1, f: 2, q: 4}. Give prob of sequence eleq. 1/340 Two letters picked without replacement from {s: 2, j: 2, c: 8}. What is prob of sequence sc? 4/33 Three letters picked without replacement from ngng. What is prob of sequence gnn? 1/6 Three letters picked without replacement from {b: 1, q: 1, u: 1, h: 2, f: 4}. Give prob of sequence uhq. 1/252 What is prob of sequence dd when two letters picked without replacement from ddydcqdqd? 5/18 Two letters picked without replacement from plububbuubb. What is prob of sequence pb? 1/22 Two letters picked without replacement from blkk. What is prob of sequence lk? 1/6 Calculate prob of sequence nn when two letters picked without replacement from ddnddddnd. 1/36 Calculate prob of sequence sss when three letters picked without replacement from {l: 2, s: 7}. 5/12 Three letters picked without replacement from {h: 7, n: 1}. What is prob of sequence hhn? 1/8 Two letters picked without replacement from {l: 1, j: 3, c: 6, q: 3}. What is prob of sequence lq? 1/52 Calculate prob of sequence kkk when three letters picked without replacement from {u: 1, o: 2, k: 7, c: 4}. 5/52 Two letters picked without replacement from {q: 1, w: 2, v: 4}. Give prob of sequence qv. 2/21 Four letters picked without replacement from aqqqa. Give prob of sequence aqaq. 1/10 Calculate prob of sequence oe when two letters picked without replacement from {o: 2, d: 4, t: 2, y: 9, g: 1, e: 2}. 1/95 What is prob of sequence dss when three letters picked without replacement from ddsssdssss? 7/40 Calculate prob of sequence ooxx when four letters picked without replacement from {x: 4, o: 2}. 1/15 Calculate prob of sequence gmg when three letters picked without replacement from gggmggm. 4/21 Two letters picked without replacement from {q: 5}. What is prob of sequence qq? 1 Two letters picked without replacement from {b: 1, p: 3, q: 2, e: 1, g: 1, f: 4}. What is prob of sequence pf? 1/11 Four letters picked without replacement from cccpcpcccpc. What is prob of sequence pcpc? 7/165 Two letters picked without replacement from bbszxss. What is prob of sequence zs? 1/14 Three letters picked without replacement from gihi. Give prob of sequence iih. 1/12 What is prob of sequence ag when two letters picked without replacement from pgwpaqqgpwnnaanagnqg? 4/95 Calculate prob of sequence tts when three letters picked without replacement from ssptstssttt. 10/99 Two letters picked without replacement from {c: 1, w: 5, s: 5, p: 1, o: 3}. What is prob of sequence ws? 5/42 Calculate prob of sequence gpn when three letters picked without replacement from nghpv. 1/60 Calculate prob of sequence ttaa when four letters picked without replacement from {t: 7, a: 12}. 77/1292 What is prob of sequence it when two letters picked without replacement from {t: 2, m: 2, i: 1, q: 4, y: 1, p: 2}? 1/66 Calculate prob of sequence gv when two letters picked without replacement from ggggvgggggnvvgvgvg. 10/51 Three letters picked without replacement from hwhpdw. What is prob of sequence dwp? 1/60 What is prob of sequence ob when two letters picked without replacement from cjcccsbsco? 1/90 Two letters picked without replacement from uwww. Give prob of sequence wu. 1/4 Calculate prob of sequence sl when two letters picked without replacement from {s: 1, h: 1, l: 1, i: 1, c: 1}. 1/20 Four letters picked without replacement from jjwjbbkwkwlwlwkwwb. Give prob of sequence bkll. 1/4080 Calculate prob of sequence vupu when four letters picked without replacement from puunnunvnpuuaag. 1/819 Calculate prob of sequence rbcr when four letters picked without replacement from brccbbrccbc. 1/198 Two letters picked without replacement from nxaexxxxexx
{ "pile_set_name": "DM Mathematics" }
dps. 0.0002802 Round 40530.23 to the nearest 100. 40500 Round -0.010167179 to 3 dps. -0.01 What is 0.001454475 rounded to 5 decimal places? 0.00145 What is 30558510 rounded to the nearest 10000? 30560000 Round -56.6677 to the nearest 10. -60 What is 116114.05 rounded to the nearest ten thousand? 120000 Round -15889120 to the nearest ten thousand. -15890000 What is -0.001704733 rounded to four dps? -0.0017 What is 0.000001935277 rounded to 7 decimal places? 0.0000019 Round -0.41078099 to 1 dp. -0.4 What is 56477.9 rounded to the nearest ten thousand? 60000 Round -0.6925575 to three dps. -0.693 What is 751.747 rounded to the nearest 10? 750 What is 2891.899 rounded to the nearest ten? 2890 Round -0.06001019 to 2 decimal places. -0.06 Round -0.168968 to 2 dps. -0.17 Round 0.4378495 to four decimal places. 0.4378 What is 0.0005447691 rounded to seven decimal places? 0.0005448 What is -0.046312479 rounded to 3 dps? -0.046 What is -2328707.6 rounded to the nearest 10000? -2330000 What is 402908 rounded to the nearest 10000? 400000 Round -0.0000155864 to seven decimal places. -0.0000156 Round -0.0198107 to four decimal places. -0.0198 Round -0.000824187 to four dps. -0.0008 Round -5.146198 to one dp. -5.1 What is 0.000000622955 rounded to seven decimal places? 0.0000006 Round -0.000011511537 to seven dps. -0.0000115 Round 286359.13 to the nearest one thousand. 286000 What is -0.01221652 rounded to 4 dps? -0.0122 What is 72341.8 rounded to the nearest 10000? 70000 What is 0.0001906266 rounded to five dps? 0.00019 What is -0.070645 rounded to three dps? -0.071 What is 354130 rounded to the nearest ten thousand? 350000 Round -40644.9 to the nearest 10000. -40000 What is -0.13691817 rounded to 4 dps? -0.1369 What is 6560.18 rounded to the nearest ten thousand? 10000 What is -33.684105 rounded to 2 dps? -33.68 What is -116153360 rounded to the nearest 1000000? -116000000 What is 0.00006665297 rounded to 7 decimal places? 0.0000667 Round 7473.18 to the nearest one thousand. 7000 What is -0.001369982 rounded to five decimal places? -0.00137 What is -0.0000754402 rounded to five dps? -0.00008 Round -71.4948 to zero decimal places. -71 What is -0.19006605 rounded to 1 dp? -0.2 What is -37.08639 rounded to zero dps? -37 Round 0.9728 to zero decimal places. 1 What is -1.214345 rounded to one dp? -1.2 What is 11021.9 rounded to the nearest 100? 11000 Round -0.0008504454 to six dps. -0.00085 Round 116.69043 to 1 dp. 116.7 What is 10934445 rounded to the nearest 1000000? 11000000 What is 0.76206 rounded to 1 decimal place? 0.8 What is 0.0388966 rounded to two decimal places? 0.04 Round -0.0000398881 to seven dps. -0.0000399 Round -0.5284955 to 1 decimal place. -0.5 Round 0.413879 to 2 decimal places. 0.41 Round 101325600 to the nearest 1000000. 101000000 Round -118.00451 to the nearest 10. -120 Round -831534.7 to the nearest 100. -831500 Round 0.0002511231 to seven decimal places. 0.0002511 Round 106638400 to the nearest 100000. 106600000 Round -0.0000823724 to 6 dps. -0.000082 Round 1.222375 to 2 decimal places. 1.22 Round -0.00000902287 to 7 dps. -0.000009 Round -0.008809825 to 5 dps. -0.00881 Round 0.000914715 to 6 dps. 0.000915 What is 3720.46 rounded to 0 decimal places? 3720 Round 1.69096 to 1 decimal place. 1.7 Round 0.0000032858446 to seven dps. 0.0000033 What is 0.002683902 rounded to 4 dps? 0.0027 Round 0.004605932 to five dps. 0.00461 What is 1700.132 rounded to the nearest integer? 1700 What is -0.001694653 rounded to four dps? -0.0017 What is -0.0000369695 rounded to 5 dps? -0.00004 What is 27513.1 rounded to the nearest ten thousand? 30000 What is -0.007131694 rounded to three decimal places? -0.007 What is 0.017565776 rounded to 6 decimal places? 0.017566 Round -56.0805 to the nearest 10. -60 Round -12159700 to the nearest ten thousand. -12160000 What is 23847.6 rounded to the nearest 100? 23800 What is 0.706766 rounded to 2 dps? 0.71 Round 3749.49 to the nearest one hundred. 3700 Round -0.00033490829 to 7 decimal places. -0.0003349 Round -0.00387365 to 5 decimal places. -0.00387 Round 2080.608 to the nearest 100. 2100 What is 601.5859 rounded to 1 dp? 601.6 Round 107278.67 to the nearest 100. 107300 Round 224965 to the nearest 1000. 225000 Round 6524.8 to the nearest 10000. 10000 Round 3.539365 to 3 dps. 3.539 Round -307.982 to the nearest 100. -300 What is 0.0000048247058 rounded to seven decimal places? 0.0000048 What is 7902.77 rounded to the nearest one thousand? 8000 What is 0.00012253473 rounded to 6 dps? 0.000123 What is -0.00655436 rounded to four dps? -0.0066 Round -26540500 to the nearest 1000000. -27000000 What is -0.000000429484 rounded to 7 dps? -0.0000004 What is -18621154 rounded to the nearest one million? -19000000 What is -0.00457218 rounded to five decimal places? -0.00457 Round 0.013493836 to four dps. 0.0135 What is -0.000021565 rounded to 6 dps? -0.000022 Round -0.00009829316 to 5 dps. -0.0001 What is -4.231573 rounded to two dps? -4.23 Round -786989.9 to the nearest 10000. -790000 Round 0.0335701 to 5 decimal places. 0.03357 Round 40636440 to the nearest 100000. 40600000 Round 432.908 to zero decimal places. 433 What is -0.0662516 rounded to four dps? -0.0663 What is 0.00001928633 rounded to 6 decimal places? 0.000019 What is -2.60334 rounded to one decimal place? -2.6 Round -0.002166332 to six dps. -0.002166 What is -17399100 rounded to the nearest 100000? -17400000 What is 27623200 rounded to the nearest one hundred thousand? 27600000 What is 1247610 rounded to the nearest 10000? 1250000 What is 10304640 rounded to the nearest 100000? 10300000 Round -51916800 to the nearest 100000. -51900000 Round -0.64513 to 1 decimal place. -0.6 What is 563.5336 rounded to the nearest one thousand? 1000 What is 2757533 rounded to the nearest ten thousand? 2760000 What is -2532039 rounded to the nearest 100000? -2500000 Round 104220 to the nearest one hundred thousand. 100000 Round -76329 to the nearest one thousand. -76000 What is -0.0000004384003 rounded to 7 decimal places? -0.0000004 What is 0.00050207 rounded to five decimal places? 0.0005 What is -57.5267 rounded to one decimal place? -57.5 Round 0.0136909 to 3 decimal places. 0.014 Round -23350387 to the nearest one million. -23000000 Round -0.0005274251 to six dps. -0.000527 What is -22360980 rounded to the nearest one million? -22000000 What is 113.176839 rounded to two decimal places? 113.18 What is 3041402 rounded to the nearest one million? 3000000 Round 2149495 to the nearest 10000. 2150000 Round -0.000011454144 to six decimal places. -0.000011 Round -1757.732 to the nearest integer. -1758 What is 0.00000473505 rounded to six decimal places? 0.000005 What is 62190.4 rounded to the nearest 1000? 62000 Round 2937.35 to the nearest 10. 2940 What is -19548.01 rounded to the nearest 100? -19500 Round -0.0000399124 to six dps. -0.00004 Round -300703.05 to the nearest ten thousand. -300000 What is -202.5993 rounded to the nearest 10? -200 What is 5700750 rounded to the nearest ten thousand? 5700000 What is -0.000000535 rounded to seven decimal places? -0.0000005 Round 0.000013438409 to seven dps. 0.0000134 Round 759.45446 to the nearest ten. 760 What is 151389.6 rounded to the nearest 10000? 150000 What is -0.000012929832 rounded to six dps? -0.000013 What is 177433.44 rounded to the nearest ten thousand? 180000 What is 19526000 rounded to the nearest 100000? 19500000 What is -2691660 rounded to the nearest one million? -3000000 What is -17883.89 rounded to the nearest one hundred? -17900 What is 0.000089718 rounded to six decimal places? 0.00009 Round 0.225487 to two decimal places. 0.23 Round -640536 to the nearest one million. -1000000 What is -3213000.5 rounded to the nearest 10000? -3210000 Round 9021.198 to the nearest 1000. 9000 Round 0.000009271592 to 7 decimal places. 0.0000093 What is -798030 rounded to the nearest one hundred thousand? -800000 Round 0.00000290445 to 6 dps. 0.000003 What is -515187.1 rounded to the nearest ten thousand? -520000 Round 0.1108267 to four dps. 0.1108 What is 0.0403 rounded to four decimal places? 0.0403 What is 0.0000447857 rounded to 7 dps? 0.0000448 Round 0.0000048202 to seven dps. 0.0000048 Round 0.0004914466 to 7 dps. 0.0004914 What is
{ "pile_set_name": "DM Mathematics" }
r of z and 69/4. 28 Let n = 472/3 + -144. What is the common denominator of 31/9 and n? 9 Let u(s) = -4*s + 2. Let j = 1 + -2. Let f(h) = -h**2. Let m(z) = j*f(z) + u(z). Calculate the smallest common multiple of m(6) and 18. 126 Let n be -1 - (83 + 1 + 1). What is the common denominator of ((-2)/40)/((-4)/(-830)) and (n/48)/((-4)/(-6))? 16 Let w(j) = 2*j**2 - 4*j + 2. Let q be w(3). Let b = q - 1. Calculate the lowest common multiple of b and 5. 35 Let m(c) = c**3 + 2*c**2 - 2*c + 1. Let d be m(1). Suppose 2*n = -d, -5*t + n + 31 = -20. Calculate the lowest common multiple of t and 3. 30 Find the common denominator of (-30)/(-8)*(-40)/(-132) and 2/12*378/16. 176 Let k be 2/4*28/2. Suppose 0 = -k*z + 2*z + 1000. What is the common denominator of -8/11 and z/(-15) + 2*1? 33 Let w = -81 - -141. Suppose -2*b = b - w. Let a = -2 - -8. What is the smallest common multiple of a and b? 60 Let h = -525 - -4765/9. What is the common denominator of h and -41/9? 9 Suppose -4*z + 3*z - 2*y - 8 = 0, 0 = 4*z + y + 4. Suppose z = d - g - 10, 16 = -3*d + 4*d - 4*g. What is the least common multiple of 18 and d? 72 Let r(d) = -d**2 + 112. Let t be r(0). Suppose -4*l = 28 - t. Suppose 0*i - 3*i = -l. Calculate the common denominator of -17 and i. 1 Calculate the least common multiple of 9 and 0 + (6 - 0 - -1). 63 Let m = 995/2 - 522. Calculate the common denominator of m and -17/8. 8 Let x(t) = -1 + 3 + 6*t - 5*t. Let n be x(-4). Let a(w) = -6*w**3 + w**2 + 4*w + 3. Calculate the common denominator of a(n) and 121/6. 6 Let x be ((-210)/12)/((-1)/2). Let m be (x/10)/((-2)/4). Find the common denominator of -69/16 and (m/24)/((-12)/(-80)). 144 Let k = 1227/2 - 637. Let d = -105 + 53. What is the common denominator of k and (-75)/160*d/(-6)? 16 Suppose 3*c - 11 = 4*f, 4*c = -f + c + 1. Let m(p) = -10*p**3 - 2*p**2 - 2*p - 1. Calculate the least common multiple of 1 + (0 - f)*1 and m(-1). 9 Suppose 0 = -3*i + 50 + 13. Calculate the smallest common multiple of 30 and (i/(-2))/(6/(-8)). 210 Let z = 7/4608 - 6543409/32256. Let n = z + 5155/28. Calculate the common denominator of 47/3 and n. 12 Let n(k) = k**3 + k**2 + k. Let o be n(-2). Let w = -4 - o. Find the common denominator of 1/8 and 198/(-2)*(-1)/w. 8 Let c(x) = x**2 - 7*x - 4. Let q be c(4). Calculate the common denominator of 108/q - -1*3 and 5/11. 44 Let c be (-5)/2*6/(-5). Suppose -16 = -3*x + g, 4*x - 38 = c*g - 5*g. Suppose 5*z = -2 + x. Calculate the lowest common multiple of 1 and z. 1 Let r = -1883/8 + 232. Calculate the common denominator of -19/14 and r. 56 Suppose -2*c + 2236 = -3*w, -w + 5*w - c + 2973 = 0. Let v = -7463/10 - w. What is the common denominator of v and 4/(-14) - 853/(-70)? 10 What is the common denominator of -23/6 and (-20)/5 + 53/24? 24 What is the lowest common multiple of (-6)/((-6)/(-5)) + 7 and 1? 2 Let y(p) = 4*p + 2. Let a be y(5). Let x = 14 - a. Find the common denominator of 2/(x/126) - -2 and 11/8. 8 Let f be (-74156)/(-56) + (-2)/(-4). Let k = 1328 - f. Let u = 5787/904 + 110/113. What is the common denominator of u and k? 56 Calculate the common denominator of 3/(-12)*(-210)/(-5) and 59/16. 16 Let u = -80 - -108. What is the smallest common multiple of u and 16? 112 Let f(i) = 2*i**2 - 11*i + 7. Suppose 0 = 2*p - 8 + 2. What is the least common multiple of f(5) and p? 6 Let l(h) = 8*h - 5. Let z be l(2). Let o = z - 5. What is the least common multiple of 6 and o? 6 Let q = 10 + -35. What is the common denominator of 11/10 and 4/q*20/8? 10 Suppose 3 = v, 2*y = 3*v - 2 + 1. Suppose -k + 7*f - 2*f + 13 = 0, y*k = 2*f + 34. Calculate the smallest common multiple of 1 and k. 8 Let z be (4 - (1 - 1))*-2. Let u be (1172/(-78))/(z/(-6)). Let l = 120/13 - u. Calculate the common denominator of 25/16 and l. 16 Let m = -2 - 1. Calculate the smallest common multiple of 7 and (m + 2)*(-1 + -1). 14 Suppose -6*x + 2*x = -120. Calculate the lowest common multiple of x and 8. 120 Let c(b) = -2*b**3 - 3*b**2 + 3*b - 2. What is the smallest common multiple of c(-3) and 18? 144 Let t = 43/15 + -16/15. Find the common denominator of -53/40 and t. 40 Let m = -31 - -52. Calculate the smallest common multiple of m and 6. 42 Suppose 0 = 4*p - 83 - 85. Calculate the least common multiple of p and 6. 42 What is the common denominator of (24/(-45) - -2)/((-3)/6) and -8/7? 105 Let p = 751 + -6019/8. What is the common denominator of 47/2 - (1 + 1) and p? 8 Suppose 0*l + 11 = 2*w - 3*l, -2*w + 7 = l. Suppose -2*z + z + 12 = 0. Calculate the lowest common multiple of w and z/10*20/3. 8 Let m = 1 + 3. Let q be (-6)/m*4/(-3). Let r = 48 - q. Calculate the common denominator of -69/8 and r. 8 Let w(o) = -5*o - 1. Suppose 5*p - 5*u - 15 = 5, -p + 13 = 2*u. Calculate the lowest common multiple of p and w(-2). 63 Suppose 3*z + 83 = 5*d, -5*d + 75 = z + 4*z. What is the least common multiple of 16 and d? 16 Suppose 0*w + w = -3. Calculate the lowest common multiple of (2/(-1))/(w/30) and 12. 60 Suppose c - 240 = -c. Calculate the common denominator of 6/(-3) + (21 - -2) and (-1)/(-5) - 789/c. 8 Suppose -11*n + 9*n = -20. Suppose g - n = -0*g. What is the lowest common multiple of g and 7*9*6/21? 90 Calculate the common denominator of (-2)/8 - 1469/260 and (-3)/(-4)*(-106)/(-6). 20 Let c = 30430 + -152654/5. Let u = c + 1631/20. What is the common denominator of u and -69/10? 20 Suppose 5*w - 42 = 18. What is the smallest common multiple of 1 and 4/(-6) + 80/w? 6 Let b be (-326)/(-4)*18/(-4). Let w = 343 + b. What is the common denominator of (-58)/42*(3 + -6) and w? 28 Let d be 1 + -2 + 2 + 1. Let m(a) = 13*a**d + a + 5 + a - 6. What is the lowest common multiple of 16 and m(1)? 112 Let m be 2 + (2*-9)/3. What is the common denominator of 63/16 and (-653)/42 - m/(-14)? 48 Suppose -g - 4*p = 15, -6*g + g - 3*p = 143. Calculate the common denominator of g and 6/11. 11 Suppose 6*b - 2*b - 20 = 0. Suppose 21 = 3*l + 4*f, l - 7 = f - b*f. Let r = 8 + 2. Calculate the least common multiple of l and r. 70 Suppose -5*n - 37874 = -2*b - 3*n, -2*b + 3*n = -37879. Let t be (-2 - 1)*b/(-2772). Let r = t - 352/21. What is the common denominator of 33 and r? 11 Calculate the smallest common multiple of -124*(5/20)/(1/(-2)) and 16. 496 Find the common denominator of (-107)/8*40/270 and -25/66. 594 Let p = 57 + -39. Calculate the least common multiple of p and 18. 18 Let q(a) = -a**2 + 5*a + 2. Suppose -2*l + 0*l = -8. Let y be q(l). What is the common denominator of -61/8 and 63/(-12)*26/y? 8 Let w = -11 + 31. Calculate the smallest common multiple of w and 10. 20 Let n = -41338/675 + 1594/25. What is the common denominator of 41/3 and n? 27 Let g(p) = p + 894. Let x be g(0). What is the common denominator of 109/10 and (-1)/(-4)*x/27? 90 Suppose -3*r = -4*p + 51, -p + 0*p = 5*r - 7. Calculate the least common multiple of 5 and p. 60 Let r = 593/2 - 291. What is the common denominator of 59/14 and r? 14 Let o = 23306738/447 + -32899799477/594510. Let r = 3199 + o. Let w = -5721/2660 - r. What is the common denominator of w and 83/16? 80 Let r(g) = 0*g - g + 5 - 4*g + 4*g. Calculate the least common multiple of r(4) and 7. 7 Suppose u + 0*l = -l + 1, 0 = -4*l - 16. Suppose -4*k = -3*g - 34, 0 = -3*k - k + u*g + 30. Calculate the smallest common multiple of 2 and k. 10 Let p = -2/2835 - -21743/11340. Let r = 5845963/6 - 983559. Let c = r - -9255. Find the common denominator of p and c. 12 Let b = -2 - -4. Suppose 4 = 2*u - b. What is the least common multiple of (13 + u)*1/2 and 4? 8 Let n be (1/(-2))/(3/(-18)). Suppose q + 0*q = -2*b + n, 0 = -q - 4*b - 1. Calculate the common denominator of -67/3 and 1857/42 + 2/q. 6 Suppose 15 = 3*k - 0. Suppose 3*q = k*i - 22, 0*i - 2*q = 4*i. Calculate the least common multiple of 2 and 30/4 - i/(-4). 8 Let m = 5/101463 - 502546279/811704. Let h = m + 622. Find the common denominator of -47/16 and h. 16 Let i = -3185/19 - 25519/57. Let p = i + 605. Suppose y + 3 = 32. Find the common denominator of y and p. 3 Let i = 17593/14 + -1258. Find the common denominator of i and 53/12. 84 Let l = -18663/11 + 1698. Find the common denominator of l and 41/5. 55 Let s(v) = v**2 - 15. Calculate the least common multiple of 5 and s(4). 5 Let r = -1540019/1615 + -9/323. Let s = r + 957. What
{ "pile_set_name": "DM Mathematics" }
ominator of -223/254744700 and 83/700547925. 2802191700 Calculate the least common multiple of 77275891 and 3377. 77275891 Find the common denominator of 85/2064046 and -2/73047. 80497794 Calculate the common denominator of 19/4191 and 89/14236. 59663076 Calculate the least common multiple of 166918375 and 975. 500755125 Calculate the lowest common multiple of 236792 and 2012732. 4025464 Calculate the common denominator of 61/6620 and 15/120836. 199983580 Calculate the common denominator of 7/2512 and -91/7756804. 4871272912 What is the smallest common multiple of 8 and 9212650? 36850600 Calculate the common denominator of -37/3171012 and -11/30. 15855060 What is the common denominator of 16/1509 and -75/2588438? 7765314 Find the common denominator of -79/96 and -89/229092. 1832736 Calculate the common denominator of 111/50 and -59/2895416. 72385400 Calculate the common denominator of -121/5125250 and -74/4731. 15375750 What is the least common multiple of 143671144 and 197547823? 1580382584 What is the common denominator of -49/7228320 and -121/985680? 21684960 Calculate the common denominator of 41/16516488 and 45/52. 214714344 What is the common denominator of 77/26535 and 37/1237575? 75492075 What is the smallest common multiple of 8764 and 98787808? 98787808 Calculate the smallest common multiple of 2717041 and 353. 2717041 Calculate the common denominator of -53/382728 and 11/1510224. 55878288 What is the smallest common multiple of 33070983 and 264? 264567864 Calculate the least common multiple of 8882600 and 17765200. 17765200 What is the smallest common multiple of 30245334 and 24? 120981336 What is the smallest common multiple of 4673508 and 1416? 9347016 What is the common denominator of -26/11352375 and -76/15? 11352375 Calculate the lowest common multiple of 30928964 and 28117240. 309289640 Calculate the common denominator of 101/560 and 73/478282. 19131280 Calculate the least common multiple of 118586 and 1144811. 29765086 Calculate the lowest common multiple of 13410 and 1360125. 405317250 What is the common denominator of -167/556770 and -76/1280571? 12805710 Calculate the smallest common multiple of 222 and 144456658. 433369974 What is the least common multiple of 150713235 and 10? 301426470 Calculate the common denominator of 20/24703287 and 109/42910. 247032870 Calculate the common denominator of -81/18560 and -17/78242. 25037440 What is the common denominator of -85/1772526 and 137/3545052? 3545052 Calculate the common denominator of -26/130075 and -83/1016004. 279401100 Calculate the common denominator of 57/508 and -13/57609613. 230438452 What is the lowest common multiple of 663138 and 35? 3315690 Calculate the smallest common multiple of 11835 and 92620710. 92620710 What is the least common multiple of 459 and 33905115? 576386955 Calculate the smallest common multiple of 1144 and 7113496. 78248456 What is the common denominator of -89/1479016 and 103/330? 22185240 What is the common denominator of 81/30597824 and 101/22? 336576064 Find the common denominator of 34/2744559 and -109/58770. 27445590 Calculate the common denominator of -51/22158136 and -179/546. 66474408 Calculate the common denominator of -103/31650 and -19/59080. 886200 Find the common denominator of -69/22 and -57/936473252. 936473252 Calculate the lowest common multiple of 1522692 and 121374. 16749612 Find the common denominator of -47/51 and 17/45899799. 780296583 Calculate the common denominator of -10/6943 and 62/5469. 37971267 What is the least common multiple of 186 and 24739116? 24739116 What is the common denominator of 31/3860 and 29/53720? 10367960 What is the least common multiple of 590 and 5169? 3049710 Calculate the lowest common multiple of 4589870 and 16. 36718960 Calculate the common denominator of -38/35 and 26/10199259. 50996295 Calculate the common denominator of 97/393876 and 145/16596. 181576836 Find the common denominator of 17/334059 and 145/6336. 64139328 What is the least common multiple of 15132240 and 10? 15132240 Calculate the common denominator of 31/144 and 155/113436. 453744 Find the common denominator of 44/3018617 and 1/7021. 51316489 What is the lowest common multiple of 42445434 and 66514? 297118038 What is the least common multiple of 62557572 and 3318? 62557572 What is the common denominator of -105/48416654 and -45/286? 48416654 Find the common denominator of 8/39817883 and 19/2632. 318543064 Calculate the smallest common multiple of 32871945 and 72480. 1051902240 Calculate the common denominator of 67/26350 and -137/1038190. 5190950 What is the lowest common multiple of 5995440 and 4224? 47963520 Calculate the common denominator of -23/798694 and -105/34. 798694 Calculate the lowest common multiple of 474 and 16920. 1336680 What is the common denominator of -41/1318928 and -25/624? 3956784 Find the common denominator of -81/16033100 and -51/16. 64132400 What is the lowest common multiple of 33613338 and 18? 100840014 Calculate the common denominator of -117/5958950 and 109/71507400. 71507400 Calculate the smallest common multiple of 303960 and 37230. 22189080 What is the smallest common multiple of 28008 and 4572? 3557016 What is the common denominator of -68/411255 and -31/340? 27965340 Find the common denominator of 13/1422 and 4/2325069. 367360902 Calculate the common denominator of -31/10728 and 69/209284. 561299688 Calculate the common denominator of -31/128496 and 47/963720. 1927440 What is the smallest common multiple of 31141 and 492594? 5418534 Calculate the common denominator of -113/229280 and 48/3539. 811421920 Calculate the common denominator of -14/1272735 and -74/2290923. 11454615 Find the common denominator of -31/42234 and -68/81375. 1145597250 Calculate the least common multiple of 24894266 and 287342. 273836926 Calculate the common denominator of 121/1176 and -131/10796928. 529049472 Calculate the common denominator of 101/14643780 and 77/4. 14643780 Find the common denominator of 187/45066 and 43/1525806. 10680642 Calculate the least common multiple of 3134184 and 5746004. 34476024 Calculate the common denominator of 115/2718 and 43/375990. 1127970 What is the common denominator of -11/13989630 and 69/7461136? 111917040 Calculate the common denominator of -35/1556913 and 76/21. 10898391 What is the least common multiple of 127860 and 420? 895020 What is the common denominator of -101/9156 and 109/23952? 18275376 Calculate the common denominator of -37/3306 and 11/524784. 9970896 Calculate the common denominator of 49/129076 and 11/272304. 144048816 Calculate the common denominator of 41/6912 and 31/516. 297216 Find the common denominator of -29/102882 and -37/390. 514410 Calculate the smallest common multiple of 40185208 and 11481488. 80370416 Calculate the smallest common multiple of 77381213 and 199745. 386906065 What is the smallest common multiple of 105479496 and 8? 105479496 Find the common denominator of -49/2865200 and 71/2400. 17191200 Calculate the common denominator of -19/4958604 and 173/294. 4958604 What is the common denominator of 149/6 and -67/985998? 985998 What is the common denominator of 19/96455 and -41/3482694? 1758760470 Calculate the common denominator of 3/2969758 and 17/2594. 3851776126 Calculate the smallest common multiple of 8027544 and 20874. 56192808 What is the least common multiple of 1107 and 69044? 1864188 Calculate the least common multiple of 25 and 525032. 13125800 Find the common denominator of 37/125234700 and 19/4. 125234700 What is the least common multiple of 9078 and 6725285? 40351710 Calculate the lowest common multiple of 191496 and 9696. 765984 Calculate the smallest common multiple of 2086 and 24883. 348362 What is the least common multiple of 10772 and 3220828? 3220828 What is the common denominator of -54/340873 and 3/21125? 42609125 Calculate the lowest common multiple of 54 and 3427605. 20565630 Calculate the least common multiple of 29143 and 49377. 9529761 What is the smallest common multiple of 20235408 and 56? 141647856 What is the smallest common multiple of 41800635 and 27867090? 83601270 Find the common denominator of -97/170105270 and 115/238147378. 1190736890 Calculate the least common multiple of 65248839 and 93. 2022714009 What
{ "pile_set_name": "DM Mathematics" }
Give l(k). 8 Let v(g) be the second derivative of -7*g**3/3 + g**2/2 - 5*g + 1. What is v(1)? -13 Let g(u) = u**2 - 4*u - 4. Suppose i = -4*i + 20. Suppose 22 = i*r + 6. Suppose 18 = r*m - m. What is g(m)? 8 Let w(o) be the third derivative of -o**4/12 + o**3/6 + 246*o**2. Determine w(2). -3 Let c(w) = 9 - w + 2*w**2 + 4*w - 7. Suppose 3*b = 3*y + 12, 2*b + 5*y - 3 = 12. Suppose 0*f + 2*f = -b*d - 2, -4*d + 2*f - 16 = 0. Calculate c(d). 4 Suppose 3*q = -q + 2*f + 202, -4*f - 20 = 0. Let z(h) = h**3 + 108*h**2 + 7*h - q*h**2 - 13 - 50*h**2. Calculate z(-9). 5 Let k(t) = -6*t - 3 - 8*t**2 + 3*t**2 + 4*t**2. Let q be k(-4). Let x(m) = -2*m + 1. Determine x(q). -9 Let i(h) = h**3 + 4*h**2 + 1. Let w be i(-4). Let u be 2*(-1)/1*w. Let l(a) be the first derivative of a**4/4 + 2*a**3/3 + a**2 + 3*a - 5. Determine l(u). -1 Suppose -i - 12 = -5*z + 4, 2*z = 2*i. Let n(s) = s**2 - 6*s + 4. Calculate n(z). -4 Let d = 42 - 9. Let o = 33 - d. Let l(y) = y**3 + y**2 - 3. What is l(o)? -3 Let z = 24 - 23. Suppose z = -6*f + 13. Let a(h) = -h - 1 - 6*h**2 - h + 5*h**f + h**3. Calculate a(3). 11 Let k(i) = 7*i + 6. Let s(c) = -3*c - 3. Let w(r) = 2*k(r) + 5*s(r). Let a(m) = m - 5*m + m. Let d be a(2). What is w(d)? 3 Let r = -114 + 126. Let i(b) = -b**2 + 10*b + 7. Determine i(r). -17 Let s(w) = -w**2 - 2*w - 1. Suppose u + i = 1 + 6, 4*u = 2*i - 2. Suppose 15 = u*v + 21. What is s(v)? -4 Let n = -603 - -610. Let c(m) = -m**2 + 6*m + 2. Determine c(n). -5 Let f(q) = -q - 3. Let v be 9/(-2)*(-106)/(-159). Determine f(v). 0 Let k(w) = 7*w**2 + 7*w + 21. Let o(z) = -3*z**2 - 3*z - 11. Let r(d) = -2*k(d) - 5*o(d). Give r(0). 13 Let o(c) = -2*c + 10. Suppose s + 12 = w, 4*w - 33 = 5*s + 20. Let i = 15 - w. What is o(i)? -6 Suppose 10*h + 451 - 461 = 0. Let d(k) = -3*k**2 - k. What is d(h)? -4 Let j(a) be the second derivative of -3/2*a**2 + 1/2*a**3 + 0 - 12*a. Determine j(-4). -15 Let a be (-4)/6*-6*(-15)/12. Let i(z) be the third derivative of 2*z**2 - 7/24*z**4 + 0*z + 0 + 1/3*z**3 + 1/120*z**6 + 1/15*z**5. Calculate i(a). 12 Let i be (-7)/(14/(-4)) + -2. Let u(z) = z**3 - 3*z + 2*z**2 - 6*z**2 - 3 - 4 + i. Suppose 0 = -2*x - 5*o - 10, -x - 8*o + 4*o - 11 = 0. Give u(x). 3 Let t(i) be the second derivative of 0 + 1/6*i**3 - 2*i**2 - 14*i. Determine t(5). 1 Let j(l) be the second derivative of -l**8/3360 - l**7/2520 - l**6/720 - l**4 + 39*l. Let a(f) be the third derivative of j(f). Give a(-1). 2 Suppose k + 11 = 5*q - 8, -14 = k - 4*q. Let p(s) be the first derivative of s**3/6 - 3*s**2 - 2*s - 3. Let b(c) be the first derivative of p(c). What is b(k)? 0 Let v(i) be the first derivative of -5*i**4/4 + i**3 + i**2/2 - 233. Determine v(-2). 50 Let z(m) = -2*m + 563 + 3*m - 278 - 275. Determine z(-10). 0 Let y(c) be the first derivative of c**2 + 14*c - 78. What is y(-8)? -2 Let p(u) be the first derivative of 9*u + 32 - 1/2*u**2. Calculate p(12). -3 Let t(w) be the third derivative of -w**4/24 - 4*w**3/3 + 135*w**2 - 3*w. Determine t(-2). -6 Let j(l) = 39*l**2 + 11*l - 15. Let x(v) = -20*v**2 - 6*v + 8. Let q(z) = -6*j(z) - 11*x(z). Calculate q(2). -54 Let b(v) = -6*v - 1. Let l(x) = 18*x + 2. Suppose -2*j + 2*d = 28, -4*j + d - 44 = -0*d. Let q(s) = j*b(s) - 3*l(s). Determine q(-3). -14 Let u(k) = -2*k**2 - 5*k - 4. Let y(t) = t + 9. Suppose 0 = 3*x - 21 - 6. Let n be y(x). Let o be (-4)/n + 75/(-27). Give u(o). -7 Let u(h) = -h**3 + 5*h**2 + 10*h - 14. Let n be (92/18 - -1) + 389/(-3501). Determine u(n). 10 Let z be (-270)/(-81) + (-2)/6. Let c(h) = -3*h**2 - 4 + h**3 - 3*h + 5 + 5*h. Give c(z). 7 Let s(c) = c**2 + c + 5. Let u be s(0). Let a(i) be the third derivative of 0*i + 1/60*i**5 + 3*i**2 + 0 - 7/24*i**4 + 1/3*i**3. What is a(u)? -8 Let z(x) = 9*x**2 + 4*x**2 - 5*x**2 - 4*x**2 - 3 + 1 - 3*x. Determine z(-2). 20 Suppose y = 5*n + 24, -36 + 30 = y + n. Let k(p) = -p**3 + p + 1. Calculate k(y). 1 Let a(z) = 0*z - 385*z**2 + 395*z**2 + z + 2. What is a(-2)? 40 Let h be (-4)/(-18) - (2210/(-180) - -10). Let g(o) be the first derivative of 1/4*o**4 - h*o**2 + o**3 - 4 - 3*o. Give g(-4). 1 Let h(o) = 2*o**2 + o - 4. Let c be 2/(-11) - 204/(-33). Suppose -4*p = c - 14. Let b be h(p). Let w(x) = -x**2 + 6*x + 4. Give w(b). 4 Let i(b) = b - 1. Let r = 8 + -5. Suppose -4 = -x - r*x. Let h = -6 + x. Determine i(h). -6 Suppose 0 = p + 2*o + 4, -o - 4 = -0. Let z(j) = -7 - 4*j**2 - j**2 - 3*j**3 - j + p*j**3 + 6*j**2. Let b(u) = -u**2 + u. Let k be b(1). Calculate z(k). -7 Let n(m) = 14*m + 70. Let o be n(-5). Let f(w) = w**2 + w + 14. What is f(o)? 14 Let k = -16 - -33. Let u(l) = -7 - 9 + 4*l + k + 2*l**2. Suppose 0 = -3*z + 5*d + 11, -8 = z - 5*z + 5*d. Calculate u(z). 7 Let h(a) = -16*a. Let u be ((-2)/6)/(1/3). Determine h(u). 16 Let r(k) = 3*k**2 - 4*k + 3. Let s(n) = -4*n**2 + 4*n - 3. Let b(f) = -6*r(f) - 4*s(f). Determine b(5). -16 Let f(t) = t**3 + 7*t**2 + t - 5. Let u(c) = c**3 + 12*c**2 + 31*c - 14. Let z be u(-8). Give f(z). 25 Let g(s) = -5*s + 3. Suppose 7 - 4 = -y, -1 = 2*a + 3*y. Determine g(a). -17 Let r(y) = 15*y**2 - 3*y**3 + 4*y**3 - 1 + 3*y - 8*y**2 - 4*y**2. Suppose 4*s - 19 = f, -5*f + s - 23 = -s. Give r(f). -10 Suppose 0 = 7*y - 249 + 214. Let a(i) = 2*i**2 - 8*i + 7. Give a(y). 17 Suppose -s = -3 - 4. Let u(h) = h + 6. Let v(b) = 3*b + 17. Let j(a) = s*u(a) - 2*v(a). Determine j(0). 8 Let a(i) = 3*i + 70. Suppose -290*w + 240*w - 1100 = 0. What is a(w)? 4 Let h = 29 - 20. Suppose -8*l + h = -11*l. Let t(q) = 0*q - 2 - q + 5. What is t(l)? 6 Let j(s) = 2 + 0*s**2 + 0 - 2*s - 2*s**2. Give j(3). -22 Let n(c) = -2*c**2 - c - 1. Let u(h) = 6*h**2 + h + 2. Let d(y) = -2*n(y) - u(y). Suppose z = 2*j + 2 - 23, -9 = 2*j + 5*z. Let s = j + -9. Determine d(s). -3 Let z = -25 + 38. Let o be (-18)/(-1)*(2 + (-3 - -2)). Let g = o - z. Let b(m) = -m**3 + 6*m**2 - 5*m + 6. What is b(g)? 6 Let x = -3 + 5. Let v(h) be the first derivative of -5*h**3/3 + 3*h**2/2 - h - 88. What is v(x)? -15 Let s(g) = g - 8. Suppose 4*k + 6 = 2*c + 2*k, -4*c = 4*k + 28. Suppose -2 - 6 = -2*b. Let y = b - c. Determine s(y). -2 Suppose 12*r + 847 - 919 = 0. Let n(o) = 9*o + 2. Determine n(r). 56 Let a(d) = -1180*d + 2362*d - 1184*d + 1. Let w = -8 + 13. Suppose -o - 5*u = -4*o - 1, w*o - 5*u = 5. Determine a(o). -5 Suppose 5*n - 4*t = 17, 2*n + 0*t = 3*t + 11. Let l(y) = -8*y**2 - 10*y - 11. Let z(a) = -a**3 - a**2 + 1. Let k(f) = n*l(f) + z(f). Calculate k(-8). 6 Let r(q) = 1 + q + 2*q + q**2 + 2*q**2 - q**3. Let l(z) = 34*z - 200. Let x be l(6). Determine r(x). -3 Let m(z) be the first derivative of z**2/2 + 26*z + 77. Give m(-12). 14 Let n(f) = -2*f**3 - 3*f**2 - f. Let g(s) = 2*s**2 - 4*s + 3. Let h be g(2). Suppose d = -2 + h. Let o be ((-9)/27)/(d/6). Calculate n(o). 6 Let z(y) = y**2 + y + 1. Let o = 224 - 225. Calculate z(o). 1 Let b = -219 - -219. Let k(i) = -i**3 + i**2 - i - 23. What is k(b)? -23 Let t(g) = 3 + 22*g**3 - 1 - 4*g**2 - 23*g**3 + 7*g. Determine t(-5). -8 Let j(z) = 12*z**2 - 38 + 6 - 11*z**2. Determine j(0). -32 Let t(r) be the second derivative of -17*r**5/20 - r**3/3 - r**2/2 + 52*r. Calculate t(-1). 18 Let j(g) = -2*g + 4. Let u = 43 + -43. Let r = -3 + u. Determine j(r). 10 Let l(c) = -2*c**3 + c - 1. Let w(m) = m**3 - 3*m**2 - 2*m - 2. Let r(g) = -l(g) - w(g). Let x be (-4)/(-10) - 46/(-10). Let t = x + -8. Give r(t). 0 Suppose -7*l = 1444 - 1402. Let g(d) = -2*d + 3 - 3 - 1 - 2. What is g(l)? 9 Let t(c) = -c**3 + 5*c**2 - 4*c + 6. Suppose -4*h = 4*g - 3*g - 20, -4*h + 4 = -3*g. Give t(h). 6 Let g(j) = j - 4*j + 2 - 1. Suppose 218 = -17*l + 184. Calculate g(l). 7 Let x(f) be the first derivative of 8*f**3 - f**2/2 - 17. Calculate x(1). 23 Let b(d) = -8*d**2 - 6*d + 7. Let p be b(2). Let y = -42 - p. Let g(x) = x**2 - 5*x + 9*x - 6 + 0*x**2. Give g(y). -1 Let f = 47 + -47. Let p(c) = -c**3 - c**2 + c + 4. Let x be p(f). Let s(t) = 1. Let b(d) = d - 12. Let r(a) = 2*b(a) + 18*s(a). What is r(x)? 2 Let f(s) = -4*s + 14*s - 2*s**2 + 26 - 6*s - 7*s - 9*s. What is f(-8)? -6 Let b(d) = d**2 - 6*d + 2. Let a = 16 + -22. Let y(t) = 1. Let z(w) = a*y(w) - b(w). Let l = 325 + -318. Calculate z(l). -15 Let i = 15 - 5. Suppose -4*c + 9 = u - 2*u, -5*c = -i. Let q be u - 8/((-4)/1). Let w(d) = -7*d + 1. What is w(q)? -6 Let z(u) = -8*u**3 + 5*u**2 + 2*u + 1
{ "pile_set_name": "DM Mathematics" }
77/544 and q? 544 Suppose 0 = -2*i - i + 9. Suppose 29 + 13 = i*d. Let r = -8 - -14. Calculate the lowest common multiple of r and d. 42 Let l(g) = 2*g**3 + 6*g**2 + 6*g + 1. Let q be l(-4). Find the common denominator of (-6)/(-15)*((-246)/(-8) - 1) and -4 - -3 - q/(-12). 60 Let t = -18 + 3. Find the common denominator of 115/14 and (-402)/(-76)*t/45. 266 Let a be ((-2)/(-336))/(-5 + 7). Let u = -1297/336 + a. Find the common denominator of -55/2 and u. 14 Let b(j) = 2*j**2 - j + 1. Let t be b(-2). Suppose 3 = -f + t. What is the lowest common multiple of f and 9? 72 Let a = 1215 - 3715/3. Let n be (-16137)/(-102609) + 4/(-26). Let g = n + -42135/11401. Find the common denominator of g and a. 39 Suppose -5*a + 55 = 5*q, 0*q + q = -2. Suppose -4*m = 5 - a. Suppose 2*y + s - 32 = -y, 4*y - s = 38. Calculate the least common multiple of m and y. 10 Calculate the common denominator of 71/130 and 4/(-6) + 8977/7755. 1430 Let x be (3/((-846)/(-344)))/(8/12). Let h = x + 1649/1128. Calculate the common denominator of 53/16 and h. 48 Let i(z) = 48*z - 374. Calculate the least common multiple of i(9) and 2. 58 Let g(h) = 2*h + 40. Let t(w) = w**3 + w**2 - w + 1. Let x be t(-2). Let o = 1 - x. What is the lowest common multiple of o and g(-16)? 8 Suppose -3*m + 56 + 193 = 2*h, 4*m = -h + 137. Calculate the least common multiple of h and 78. 234 What is the smallest common multiple of -4 + (150/20)/((-12)/(-16)) and 10? 30 Suppose 858 = 19*u - 8*u. Calculate the smallest common multiple of 24 and u. 312 Let w(f) = 2*f - 2. Let s be w(-1). Find the common denominator of 265/(-8)*(-6)/(-30) and (-73)/(-12)*s/(-3). 72 Calculate the common denominator of (-1 - -2)*-2*236/(-96) and -47/4. 12 Suppose 7*w = -681 + 177. Calculate the common denominator of 1794/w - (-2)/3 and -34/7. 28 Let s be (-1 - -2)/(2/6). Suppose d - 3*n - 19 = -0*n, -4*d - s*n + 31 = 0. Let o(h) = -6*h**2 - 23*h + 8. Calculate the lowest common multiple of d and o(-4). 20 Let b be 534598/(-130704) - 8/28. Let f = b - -1/1167. Find the common denominator of -2 - (-2 - (-36)/(-5)) and f. 40 Let q(y) = -3*y**2 - 42*y - 88. Let s(n) = -2*n**2 - 28*n - 59. Let w(a) = 5*q(a) - 7*s(a). Calculate the smallest common multiple of w(-5) and 34. 306 What is the common denominator of (1431/2544)/(3/(-116)) and -59/306? 612 Let j = 120 - 60. Suppose -3*l - 2*l = -j. Find the common denominator of (14/l)/7*143 and 28/9. 18 Let u(v) be the third derivative of -v**6/120 - v**5/20 + v**4/24 + 3*v**3 - 32*v**2. Calculate the lowest common multiple of 33 and u(-4). 330 Calculate the least common multiple of (-2)/(-7) + (-136)/(-14) and -2 - (-7837)/34 - (-2 + 1/2). 230 Let g = 216478/35 + -6184. Calculate the common denominator of g and 55/2. 70 Suppose j - 4*j - 3*s = -282, j - 102 = -5*s. Suppose 2*c = -4*i + c + j, 0 = -2*i - c + 44. What is the lowest common multiple of i and 12? 24 Let w(u) = u + 16. Let r be w(-14). Let p = 26444 - 952073/36. Find the common denominator of p and (-116)/16 - (1 - r). 36 Calculate the common denominator of (-110)/10 + 726/70 and -59/105. 105 Let q be 2 - (1170/(-27) - (-2)/6). Let k = -419/2 - -215. Find the common denominator of k and (6/q)/(8/430). 6 Let f be (40/60)/((-2)/(-12)). Suppose -38 = -f*s + 3*h, 5*h = 4*s + s - 50. Calculate the least common multiple of s and 29/2 + (-3)/6. 56 Let k = 1232 - 1226. Calculate the least common multiple of k and 330. 330 Suppose 3*i - 138293778 = -2*i - f, -i + 27658743 = -4*f. Let q be i/2310 - 2/(-7). Let c = 11970 - q. What is the common denominator of c and -79/6? 66 Let i = 26419 + -845319/32. What is the common denominator of -53/252 and i? 2016 Suppose 48*s + 24 = 49*s + 4*x, 5*s = -2*x + 30. Suppose -r + 3 = -10. What is the lowest common multiple of s and r? 52 Let q = -7947/1016 - 102/127. Suppose -224 = -3*h + 10. Find the common denominator of h/4 - (-2)/1 and q. 8 Let a(r) = 21*r - 883. What is the lowest common multiple of a(43) and 280? 280 Let p(h) = h**3 + 8*h**2 - 2*h - 10. Calculate the least common multiple of ((-2)/(-4))/(2/4) and p(-8). 6 Let z = 164 + -282. Find the common denominator of 43/40 and 3 + z/32 + -4. 80 Let t(o) = -o**3 + 4*o**2 - o - 2. Suppose 3 = 4*m - 9. Let g be t(m). Calculate the smallest common multiple of 4 + (32/g)/2 and 8. 8 Let o = 2/4179 + -8957/4179. What is the common denominator of 52/(-13) + (-64)/(-3) and o? 21 Let q = -187 - -243. What is the least common multiple of 56 and q? 56 Let u(m) = 2*m**2 + 7*m - 9. Calculate the least common multiple of 16 and u(-9). 720 Let g be (153518/22821)/(252/(-297)). Let c = -2/7607 + g. What is the common denominator of c and 85/4? 28 Let s = 1772895077/24 - 73853643. Let r = s - 16982. What is the common denominator of r and ((-77)/(-16))/(24/32)? 24 Suppose -4 = -2*p - 5*n, 2*p = 4*p + 3*n - 4. Suppose 0 = -3*a + 4*a - p. Calculate the smallest common multiple of a and 5. 10 Let n = 127 + -97. Calculate the smallest common multiple of n and 60. 60 Let i(v) = v**2 + 4*v + 27. Calculate the least common multiple of 33 and i(0). 297 Let t(p) = 8. Let x(m) = m**2 - 1. Let o(d) = t(d) + 3*x(d). Find the common denominator of o(-3) and 48/7. 7 Suppose -2*f - 15 = -3*b, -27 - 15 = 4*f - 2*b. Let y be (-6)/f + 19/2. Let s = y + -6. What is the least common multiple of s and 8? 8 Suppose 0 = 5*b + 51 - 231. Let c = -337 + 352. Calculate the lowest common multiple of b and c. 180 Let y = -2846075/2516 - -19240/17. What is the common denominator of 39/5 and y? 740 Calculate the common denominator of 3/21 + 7038/13356 and -39/16. 848 Suppose 5*c + 5*m - 49 - 106 = 0, 3*c - 9*m - 117 = 0. Let b(k) = 14*k**3 + 2*k**2 - k. What is the least common multiple of c and b(1)? 165 Let x = -11 - -15. Suppose m + m - 4 = 0. Calculate the lowest common multiple of (-5 + 24/x)/((-1)/(-8)) and m. 8 Find the common denominator of 3/12 + (-139)/132 and -5/6. 66 Let g = -1501 - -100562/67. Calculate the common denominator of g and 31/6. 402 Suppose 251 = -p + 3*a, 0 = 2*p - 4*p - 3*a - 484. Find the common denominator of 3 + p/25 + -2 and -29/18. 90 Let o(d) = -865*d**3 - 2*d - 1. Let n be o(2). Let u = n + 401709/58. Let r = -1438/99 - -245/22. Calculate the common denominator of u and r. 522 Let k = -4651 - 1143. Let b = 46265/8 + k. Find the common denominator of b and 125/12 - (-2)/4. 24 What is the common denominator of 1 - 1 - (1484/(-189) - -6) and 31/78? 702 Let s be ((-108)/8 + 0)*(-8)/(-12). Let n(w) = -w**2 - 6*w + 33. What is the smallest common multiple of n(s) and (-2)/(-3)*6 + 1? 30 Suppose 0 = 2*o - 210 - 2. Calculate the common denominator of (-23)/3*(-6)/(-16) and o/16 - (6 - 8). 8 Let n = 2 - -5. Suppose 104 = -n*o + 9*o. Suppose g - 3*b = -6*b + 23, -b = -4*g + 53. Calculate the least common multiple of g and o. 364 Find the common denominator of -4 + 0 + 1 - (-2715)/360 and 39/8 - 0/(-2). 24 Let p(j) = -j**2 + 39*j - 292. Calculate the smallest common multiple of p(28) and 52. 208 Let m(n) = -n**2 - 11*n + 2. Let z(u) = u**2 - 10*u - 1. Let b be z(9). Calculate the lowest common multiple of m(b) and 22. 132 Let q(m) = 4*m**2 - 18*m + 1. What is the lowest common multiple of q(5) and 224? 2464 Let i = 2/162095 - -22206883/10698270. Find the common denominator of 97/78 and i. 858 Find the common denominator of 33/8 and (-4)/60 + (-172)/270. 216 Suppose 2*k - 23 = -2*k - u, 0 = -3*k + 3*u + 21. Suppose -4*m = -m - 9. Calculate the smallest common multiple of m and k. 6 Let u = 4333554/125 + -34668. Calculate the common denominator of u and 103/10. 250 Calculate the common denominator of ((-1464)/12)/(1 - 11) and -31/2. 10 What is the smallest common multiple of 164/14 - 22/(-77) and (-12)/(-15)*(-15)/(-2)? 12 Let g = 110686/3765 - -1/753. Let u = -2851/90 + g. What is the common denominator of u and (-4)/18 + 298/288? 144 Suppose 28 = -382*l + 386*l. Let i(d) = d**2 + 6*d + 5. What is the lowest common multiple of l and i(-6)? 35 Let r(s) = -s**3 - 4*s**2 - 2*s - 4. Suppose 4*n + 7 = -9. Calculate the least common multiple of r(n) and 40. 40 Let g(l) = -2*l**2 - 7*l - 6. Let r be g(-4). Let v = r - -17. Let x(i) = i**2 + 21*i - 39. Calculate the lowest common multiple of v and x(-23). 7 What is the lowest common multiple of -10 - (-1272)/80 - (
{ "pile_set_name": "DM Mathematics" }
give w. -714 Rearrange -2243510*k + 2243510*k + 1104*k**3 - 2*k + 2*k - 2*k**3 + (-2*k**2 - 2 + 2)*(2 - 2 + 2*k) + k - k + 3*k**3 to o*k**3 + t + x*k**2 + m*k and give o. 1101 Express 53*k - 6*k - 16*k - 18*k - 109 in the form w*k + n and give n. -109 Express -5*z**2 + 56 + 3*z**2 - 2533*z - 54 + 4*z**2 + 11947*z as l*z**2 + y*z + v and give y. 9414 Rearrange (1 + 2 + c**2 + c**2 + 2*c**2 - c**2 + 0*c**2 + (12 - 12 + 11*c)*(-2*c - 3 + 3))*(-357 + 357 + 23*c) to the form k + w*c + m*c**3 + x*c**2 and give w. 69 Express (3*v + 2*v - 6*v)*(-9772 + 64454 - 45825 + 62823 + 64455) as r*v + g and give r. -136135 Rearrange -177*w**4 + 48*w**4 - 12*w**3 - 15*w**3 + 30*w**3 + 2 + w to the form x + l*w**3 + s*w**4 + d*w**2 + r*w and give s. -129 Express -146*a + 148*a + a**4 - 516*a**2 + 2*a**3 + 510*a**2 in the form d*a**4 + n*a**2 + p*a + v*a**3 + y and give v. 2 Express (n + n - 7*n)*(-1 + 63*n**2 + 278*n**2 + 102*n**2 + 141*n**2) in the form d + k*n**2 + h*n**3 + o*n and give k. 0 Express 6*w**2 - 23 + 546702*w**4 - 4*w**2 - 546705*w**4 + 3*w in the form z*w**2 + d*w**4 + b + y*w + a*w**3 and give y. 3 Rearrange -4 + 16 + 2605*c - 2621*c + 32 to the form g + y*c and give y. -16 Rearrange ((1 - 3 + 1)*(2*f - 4*f + 7*f) - 3*f + 3 - 3)*(9 - 35*f - 8 - 15) to l*f + w*f**2 + a and give w. 280 Rearrange (6 - 7 - 7)*(-12*k + 12*k + 3*k**2 + (k + 4 - 4)*(-5*k - k + 5*k)) + (7*k - 3*k + 0*k)*(4*k + 2 - 3*k - 5) to the form j*k + t*k**2 + w and give j. -12 Rearrange (1623 + 1115 + 398 - 2083)*(11*a**2 - 11*a**2 + a**3) to s*a + z*a**3 + f + b*a**2 and give z. 1053 Express (-347 - 36*d + 347)*(207*d + 211*d - 422*d + 45) in the form w*d**2 + i*d + j and give i. -1620 Rearrange 53*b**2 - 5442*b - 68*b**2 - 3*b**3 + 5446*b to t*b**2 + l*b + z*b**3 + g and give t. -15 Rearrange -251*v**3 - 241*v**3 + 42*v**2 - 11*v**2 + 42*v + 741*v**3 - 251*v**3 to the form s*v**3 + j + d*v**2 + y*v and give y. 42 Rearrange 472*u - 119 + 122 + 414*u to y*u + w and give y. 886 Express (18 - 20 + 89)*(-3 + 1 + 7)*(w - 3*w + 4*w)*(-3 + 3 - w) as s + r*w + m*w**2 and give m. -870 Rearrange -2373*b + 58*b - 1412*b + 423*b - 313*b to the form d + u*b and give u. -3617 Express -79 + 3518 + 2*b - b - 139 + 2*b as w + o*b and give w. 3300 Rearrange (-15*u**2 - 10*u**2 - 3*u**2)*(-2 + 2 - 2*u)*(-209 + 153 - 180) to the form j*u**3 + f*u**2 + d*u + k and give j. -13216 Express 1523*d + 48*d**2 - 777*d - 747*d as z*d**2 + a + h*d and give z. 48 Express (-3 + j + 3)*(-2*j**3 + 0*j**3 + 0*j**3) + (127*j + 34*j + 296*j)*(20*j**3 - 12*j**3 + 13*j**3) as l + d*j**3 + o*j**2 + z*j + v*j**4 and give v. 9595 Rearrange (-2 + 2 + 1765*l - 1894*l)*(-188*l**2 - 146*l**2 - 91*l**2) to the form y*l**2 + j + i*l**3 + z*l and give i. 54825 Express 13*r**3 + 153*r**2 - 166*r**2 + 24*r**2 - 2 as s + l*r**3 + m*r**2 + g*r and give l. 13 Express 6*f**3 - 5*f**3 - 2*f**3 + (167*f**2 - 6934*f + 6934*f)*(-5*f + f + 3*f) as b + o*f**2 + d*f + z*f**3 and give z. -168 Express 11473*m - 12290*m - 7098*m in the form i*m + n and give i. -7915 Express (-19 + 6*c**3 + 19)*(-31 - 31 + 4)*(-3 - 9 + 4) as k + b*c + z*c**2 + f*c**3 and give f. 2784 Rearrange -v - 3692*v**3 - 2 - 7*v**4 - 3769*v**3 + 7523*v**3 to the form t*v**3 + q*v + d*v**2 + y*v**4 + n and give y. -7 Rearrange (g - 12*g + 21776 - 7*g**2 - 21775)*(1 - g - 1)*(3 + 1 + 4) to the form l*g**3 + x + i*g + r*g**2 and give x. 0 Express -6 - 4107*z + 4 + 4079*z + 3*z**4 + 2*z**3 as y*z**2 + b*z + w*z**3 + h + g*z**4 and give h. -2 Express 13*w - 49*w - w**3 - 1013 + 19*w + 15*w - 3*w**3 in the form z*w**2 + a + j*w + h*w**3 and give h. -4 Express (-42*q - 36*q + 100*q - 3)*(-10*q**3 - 16*q**3 + 6*q**3) in the form a + r*q**3 + n*q + y*q**4 + l*q**2 and give r. 60 Rearrange -2*h - 499*h**2 + 5*h - 26097 + 26099 - 143*h**2 to o + z*h + a*h**2 and give a. -642 Express (w**2 + 2*w**2 - 4*w**2 - 5*w - 2)*(3 - 2 + 0)*(6*w + 8*w - 9*w) - w + w - w**3 as q*w**3 + m + d*w**2 + t*w and give d. -25 Rearrange 699869694 - 699869694 + 22779*l to o*l + p and give o. 22779 Express (-30 - 29*u + 30)*((1 + 4 - 2)*(u + 4*u + 4*u) + ((-3*u + 4*u + u)*(-3 + 3 + 1) + u - u - u)*(0 + 1 - 2)) in the form h + m*u + k*u**2 and give k. -754 Rearrange (256*t - 110*t - 89*t)*((-3 + 5 - 3)*(4 - 2 - 3) - 1 + 6 - 8 - 4 + 4 - 2 + 7 - 4 - 1) to h*t + w and give h. -114 Express (0 - 2 + 6)*(1 - 5*f - 1)*(7 - 26 - 32)*(-3 + 3 + 2) as b + t*f and give t. 2040 Rearrange (y + y + 0*y)*(1 + 1 + 2) + 766 + 783 - 391 + 2*y to the form i + u*y and give u. 10 Rearrange (-217*t - 45*t + t)*(2*t + 3*t + 0*t) + (-4*t**2 + 5*t**2 + t**2)*(-9 - 2 - 2) to b*t**2 + l*t + g and give b. -1331 Rearrange 199*p + 35*p + 16*p + 6*p to o + q*p and give o. 0 Express -6854*r + 4068*r + 5237*r in the form i*r + u and give u. 0 Express (0*k + k - 3*k)*(-32929*k + 3851*k + 14569*k) as n*k + w*k**2 + d and give n. 0 Express -4*y**3 + 6*y - 704 + 8*y**2 + 0*y**3 + 816 - 5*y in the form l*y**2 + q*y + v*y**3 + r and give r. 112 Rearrange (-5*v + 0*v + 4*v)*(3 - 3 - 3) - 3527*v - 3382*v + 2098*v to k + y*v and give y. -4808 Rearrange -3379*n + 375*n - 56 + 125 - 31 - 37 to the form h + k*n and give h. 1 Rearrange (2*a - 4*a + a)*(-7 + 1 - 9) - 1085 + 1085 - 183*a + 512*a to the form t + y*a and give y. 344 Express (7*w - 3*w - w)*(-4 + 2 + 1) - 667*w + 184*w + 66 - 33 - 232*w - 33 as d*w + g and give d. -718 Rearrange -1 + 42035*z**2 + z - 43699*z**2 + 3 to the form t*z + d*z**2 + a and give a. 2 Rearrange 1 + 3256*d**2 - 1636*d**2 - 1625*d**2 + 57*d to s*d + y + r*d**2 and give r. -5 Rearrange 139 + r**2 + r - 137 + 141*r**2 - 4*r**2 to the form n + x*r**2 + f*r and give n. 2 Rearrange (293 + 728 + 950 - 295 + 790)*(-2*t + t + 0*t) to the form l*t + i and give l. -2466 Express (-38 - 38 - 35 + 111 - 71587*m - 85769*m)*(m - 2*m**3 - m) in the form h*m**4 + i*m + n*m**2 + v*m**3 + b and give h. 314712 Express (-2*g**3 + 0*g**2 + 0*g**2)*(-790*g - 928*g + 1923*g)*(1 - 1 + 1)*(1 - 1 + 4) as n*g**4 + h*g**2 + i*g + l + f*g**3 and give n. -1640 Express 20 - 20 + 4*t**4 + (5*t**2 - 2*t**2 - 2*t**2)*(-51*t**2 + 80*t**2 + 61*t**2) as w*t**3 + k*t**2 + l + u*t + h*t**4 and give h. 94 Express -5*g**3 + 2*g**4 + 8*g**3 - 46*g - 26*g**2 + 54*g - 3*g**3 in the form p*g**3 + z + j*g**2 + s*g**4 + c*g and give j. -26 Rearrange (-5 - 1 + 2)*(-1 + 4 + 0)*(-5 + 5 - m**2) - 36*m**2 + 25*m**2 - 20*m**2 to b + j*m**2 + c*m and give j. -19 Express 326*l + 25 + 2*l**2 - 623*l - 27 + 325*l + 4*l**3 in the form x*l + w*l**2 + z + j*l**3 and give j. 4 Rearrange (y + 2*y - 2*y)*(-5245 + 4903 + 7651 + 3672) to j*y + r and give j. 10981 Express -3 + 2*m + 3 + (-3 - 5 + 3)*(-252*m - 26*m - 223*m) as p*m + k and give p. 2507 Express 37513*p**2 - 405*p**3 - 37516*p**2 - 2447*p**3 in the form a + v*p**2 + h*p + d*p**3 and give d. -2852 Rearrange -687*o**2 - 2*o**3 + 382*o**2 - 16*o**3 - 147*o**2 to r + g*o**2 + w*o**3 + a*o and give a. 0 Express (191*z - 70*z - 62*z)*(1 + 0 + 1) - 13*z + 26*z - z in the form o + v*z and give o. 0 Express -4 + 30957*b**3 + 265*b**4 - 5*b**2 + 7 + 41*b**4 - 30957*b**3 as g*b**2 + m*b**4 + y + u*b + n*b**3 and give m. 306 Rearrange 80022 - 5*v**2 + 7*v**2 - 80083 + 8*v to the form a + k*v + s*v**2 and give k. 8 Express -h**2 + 199218 + 0*h**3 - 199126 + 3*h**3 in the form z + g*h**2 + o*h + s*h**3 and give s. 3 Rearrange -348 + 543 - 801*q**2 + 7*q + 2*q - 195 to the form r*q + b + k*q**2 and give k. -801 Express (-62 - 56 + 120)*(a**4 - 9*a**4 + 2*a**4) as b*a**2 + q*a**3 + m*a + x + v*a**4 and give x. 0 Express 123*j**2 + 7*j - 27 + 110 - 126*j**2 in the form w + u*j + l*j**2 and give w. 83 Rearrange (-2*a + 3*a - 3*a)*(-2*a + 3*a + 2*a) + 2*a**2 - 6*a**2 + 3*a**2 + a**2 - 2*a**2 + 12*a**2 + 26*a**2 + 7*a**2 + 6*a**2 to f + n*a + h*a**2 and give h. 43 Express -24*c**2 + 3*c**3 + 4*c + 7 - 8 - 9*c**4 + 2*c**2 + 29*c**2 in the form f*c**3 + x*c + n*c**4 + a + m*c**2 and give m. 7 Rearrange -125777*u - 106039*u + 248745*u to the form j + w*u and give w. 16929 Express (-7*d - d + 4*d)*(-69*d + 290*d + 57*d) in the form z*d**2 + t*d + r and give z. -1112 Express (-2*x + 0*x + x)*(2 - 2 + 4*x) + (23*x - 5*x + 7*x)*(-3*x + 3*x - 2*x)*(19 + 18 + 5) as u*x**2 + t + s*x and give u. -2104 Rearrange -81195 - i**2 + 6*i**3 - 75*i**3 + 811
{ "pile_set_name": "DM Mathematics" }
0160 - q**6/1920 - 5*q**4/3 + 4*q. Let o(c) be the third derivative of b(c). Determine n so that o(n) = 0. -3, 0 Suppose 17 - 20 = -i. Suppose i*w - 9 = -3*p, 5*p - 4*w - 13 = 20. Solve 1/2 - h**2 + 1/2*h**4 + 1/4*h**p - 1/2*h**3 + 1/4*h = 0. -2, -1, 1 Suppose -m - 4 = 0, -3*x - 5*m - 14 = -0*m. Determine r so that r**4 - x*r**2 + r**2 + 2*r**3 - r**3 - r**5 = 0. -1, 0, 1 Let b(r) be the second derivative of 0 + 1/90*r**5 - 2/3*r**3 - r - 1/36*r**4 + 0*r**2 + 1/180*r**6. Let x(y) be the second derivative of b(y). Solve x(t) = 0. -1, 1/3 Let m(k) be the first derivative of k**7/168 - k**6/24 + 5*k**4/6 + 2*k**3 + 5. Let g(x) be the third derivative of m(x). What is w in g(w) = 0? -1, 2 Suppose -17320/9*y**2 - 676 - 5980/3*y - 4/9*y**5 - 1720/3*y**3 + 100/3*y**4 = 0. What is y? -1, 39 Let u(r) be the second derivative of 1/60*r**5 + 0 + 18*r + 1/27*r**3 + 1/270*r**6 + 0*r**2 - 5/108*r**4 - 1/378*r**7. Suppose u(f) = 0. What is f? -2, 0, 1 Suppose 3*r = -5*g + 22 + 34, 20 = 3*g - 5*r. Factor -29*k - 20*k**2 - 23*k - g + 28*k**4 + 2 + 36*k**3 + 16*k. 4*(k - 1)*(k + 1)**2*(7*k + 2) What is d in -9 + 12*d - 16 + 18 + 4*d**2 - 9 = 0? -4, 1 Let h(y) be the first derivative of 7*y**6/6 + 33*y**5/5 + 11*y**4/4 - 41*y**3/3 - 9*y**2 + 8*y + 34. What is r in h(r) = 0? -4, -1, 2/7, 1 Let i(x) be the second derivative of -x**7/840 - x**6/80 - x**5/20 - 5*x**4/12 - 8*x. Let q(p) be the third derivative of i(p). Factor q(u). -3*(u + 1)*(u + 2) Let x(y) = -3*y**2 + 178*y - 56. Let a be x(59). Determine s, given that -7/8*s**2 + 0 + 1/4*s - 1/2*s**a = 0. -2, 0, 1/4 Suppose y = -5 + 12. Suppose 4*d - y*d = -165. Factor -55 - 3*h**4 - 6*h**3 + 6*h + d + 3*h**2. -3*h*(h - 1)*(h + 1)*(h + 2) Let w(y) = 2*y**4 + 143*y**3 - 3*y**2 - 3*y - 3. Let o(p) = 3*p**4 + 142*p**3 - 2*p**2 - 2*p - 2. Let i(s) = 3*o(s) - 2*w(s). Factor i(h). 5*h**3*(h + 28) Let h(u) = u**3 + u**2 - 3*u - 2. Let x be h(3). Let y = x - 19. Solve y*r**3 - 2*r**5 - 6*r**4 + 2*r**2 - 4*r + 2*r**4 + 2*r**4 = 0 for r. -2, -1, 0, 1 Suppose f - 7*v + 6 = -2*v, -3*f + 4*v + 4 = 0. Factor -8*y + 3*y**3 - 2*y**3 + 21*y**2 - 3*y**4 - 3*y**3 - 4 - f*y**4. -(y - 1)**2*(y + 2)*(7*y + 2) Suppose 0 = -4*i + 22 + 58. Suppose i*k - 19*k = 2. Determine c, given that 0 + 3/2*c + 9/4*c**4 - 3/4*c**3 - 3/4*c**5 - 9/4*c**k = 0. -1, 0, 1, 2 Suppose 0 = g - 2*g + 18. Determine m, given that 9*m + 3*m + 0*m**4 - 3 - 3*m**3 - 21 - 3*m**4 + g*m**2 = 0. -2, 1, 2 Let y(p) be the first derivative of -9/2*p**3 - 2*p - 3/8*p**6 + 9/2*p**2 + 23/16*p**4 - 35 + 3/5*p**5. Solve y(v) = 0. -2, 2/3, 1 Let x = -3489 - -17449/5. Factor -x - 2/5*w**2 + 6/5*w. -2*(w - 2)*(w - 1)/5 Let y be ((-1)/(-4))/(1/4) - -2. Factor 0*r**2 - 1/2*r**5 + r**y + 0 - 1/2*r + 0*r**4. -r*(r - 1)**2*(r + 1)**2/2 Factor -5*t**2 - 66255 - 177013 - 35210 + 2687*t - 21647 - 237*t. -5*(t - 245)**2 Let f(y) = -6*y**3 + 18*y**2 - 24. Let l(a) = -a**3 + 3*a**2 - 4. Let d(z) = 6*f(z) - 34*l(z). Determine k, given that d(k) = 0. -1, 2 Let x(g) be the third derivative of g**5/15 - 100*g**4/3 + 20000*g**3/3 - 744*g**2. Factor x(a). 4*(a - 100)**2 Suppose -r - 6 = -3*r. Let n be ((-24)/3 - -8)/2. Factor n*u**2 - u**4 - 1/2*u**5 + 0*u - 1/2*u**r + 0. -u**3*(u + 1)**2/2 Suppose 50 = 2*y + r, 0 = 6*r - 3*r - 6. Factor -4*z**2 + 9*z**2 - 4*z**3 - 8 - 23*z**2 - y*z. -2*(z + 2)**2*(2*z + 1) What is v in -18 + 135/2*v**3 - 39/2*v**5 + 111/2*v**4 - 138*v - 255/2*v**2 = 0? -1, -2/13, 2, 3 Let z = 3628/3 - 1209. Determine s so that -z - 3/2*s + 11/6*s**2 = 0. -2/11, 1 Let v be -1 - -4 - (-2 - 0). Suppose v*h + 2 = 6*h. Factor 5*m**3 + 64*m**2 - 3*m**3 - 66*m**h. 2*m**2*(m - 1) Let f be (-22)/(-10) - (144/(-45))/4. Determine r, given that 1/6*r**2 + 3/2*r**4 + 0*r + 0 + 2/3*r**5 + r**f = 0. -1, -1/4, 0 Let a(l) be the second derivative of 3*l**5/100 - 17*l**4/5 + 1221*l**3/10 - 3267*l**2/5 - 198*l. Let a(r) = 0. What is r? 2, 33 Let i(t) be the second derivative of t**6/15 - 3*t**5/10 + t**4/3 + 31*t. Factor i(r). 2*r**2*(r - 2)*(r - 1) Find p such that 108*p + 365*p**2 - 9*p - 3*p**3 + 271*p - 2*p**3 = 0. -1, 0, 74 Let y(j) be the second derivative of j**10/60480 + j**9/5040 - 4*j**4/3 - 21*j. Let n(h) be the third derivative of y(h). Let n(p) = 0. What is p? -6, 0 Suppose -133*c**2 - 299*c - 135*c**3 + 21 + 463*c**2 + 847*c - 51 - 313*c = 0. What is c? -2/3, 1/9, 3 Let t(c) be the first derivative of c**4/4 - 82*c**3/15 + 227*c**2/10 - 78*c/5 - 719. Let t(s) = 0. What is s? 2/5, 3, 13 Suppose -6 = -3*h + 4*q - 2, 0 = -5*h + 4*q + 12. Let r be 2 + 1 - 4/h. What is n in -4*n**2 - n - r*n**2 - 2 - 5*n**2 + 12*n**2 = 0? -1, 2 Let a(r) be the second derivative of r**6/18 + 5*r**5/2 + 35*r**4 + 980*r**3/9 - 109*r. Solve a(k) = 0. -14, -2, 0 Let u(i) be the first derivative of -i**6/6 - i**5/5 + 2*i**4 + 4*i**3 - 252. Factor u(m). -m**2*(m - 3)*(m + 2)**2 Suppose -25 = -9*b - 7. Let x be 4/10*(-7 + 89/12). Suppose x*v**b + 2/3 + 2/3*v = 0. What is v? -2 Let g be 0 + 56/(-140)*(-10)/8. Solve -1/2*o + g*o**3 + 1/2*o**4 + 1 - 3/2*o**2 = 0 for o. -2, -1, 1 Let v = 9624/7 - 1373. Solve -4/7 + 1/7*d**3 - v*d**4 + 4/7*d + 17/7*d**2 - 5/7*d**5 = 0 for d. -2, -1, 2/5, 1 Let k(t) be the first derivative of -2*t**5/35 + 5*t**4/7 - 64*t**3/21 + 38*t**2/7 - 30*t/7 + 41. Suppose k(a) = 0. Calculate a. 1, 3, 5 Let n = -139 - -195. Let -125*b**2 + 5*b**5 - 48*b**3 + 143*b**3 - 14*b**4 + 24*b + n*b - 21*b**4 - 20 = 0. Calculate b. 1, 2 Let q = 1067 - 1063. Solve -24/5 + 18/5*i**2 - 3*i**3 + 3/5*i**q + 12/5*i = 0. -1, 2 Let i(j) be the third derivative of -j**7/1050 + j**6/300 + j**5/20 - 3*j**4/10 + 101*j**2 - 2. Solve i(o) = 0 for o. -4, 0, 3 Let v = -38 + 35. Let j(w) = -2*w**3 - 5*w**2 + 7*w. Suppose q = -0*q - m + 3, -5*m = -q - 21. Let g(d) = d**2 - d. Let r(c) = q*j(c) + v*g(c). Factor r(x). 2*x*(x - 1)*(x + 2) Suppose 4*f = -q - 8, 0*f + 4 = q - 2*f. Suppose q*u**4 + u**2 - u**4 - 170 + 170 = 0. What is u? -1, 0, 1 Let z be (-5)/(-2)*(4 - (1 - -1)). Factor 4*c + 0 - 3 + z + 2*c**2 + 0. 2*(c + 1)**2 Determine k so that 28/13*k + 2/13*k**2 + 2 = 0. -13, -1 Let p(g) = -g**3 - 118*g**2 - 112*g + 5. Let i(v) = 3*v**3 + 414*v**2 + 393*v - 18. Let a(t) = -5*i(t) - 18*p(t). Suppose a(k) = 0. Calculate k. -17, -1, 0 Let x(a) be the third derivative of 1/120*a**5 - 1/6*a**3 + 1/48*a**4 + 0 + a**2 + 0*a. Solve x(r) = 0. -2, 1 Let a = 46 - 45. Let m be a/7 + (-16)/(-280). Let -m*r - 1/5*r**2 + 0 = 0. What is r? -1, 0 Let w = -2 + -10. Let n be ((-2)/w)/((-3)/(-9)). Solve n*t - 5/4*t**3 + 3/4*t**2 + 0 = 0. -2/5, 0, 1 Suppose -17*t = 18*t. Factor 1/3*n**3 + n**2 + 0 + t*n. n**2*(n + 3)/3 Solve -82/3*i**2 + 122/3*i - 20 + 22/3*i**3 - 2/3*i**4 = 0. 1, 2, 3, 5 Let f(d) be the third derivative of -3*d**8/560 - 16*d**7/525 - d**6/300 + 11*d**5/75 + 11*d**4/120 - 2*d**3/5 + 309*d**2. Suppose f(y) = 0. What is y? -3, -1, 4/9, 1 Let l(q) be the first derivative of -q**4/16 + 3*q**3/4 - q**2 + 152. Factor l(r). -r*(r - 8)*(r - 1)/4 Suppose 6*z - 2*z - 3*o - 10 = 0, 0 = -3*z - 2*o - 1. Suppose 5*s + 5*l - 5 = 0, -s + l = -4*s + z. Factor 0*v + s - 3/7*v**4 + 6/7*v**3 - 9/7*v**5 + 0*v**2. -3*v**3*(v + 1)*(3*v - 2)/7 Let h(j) be the third derivative of j**6/30 - 7*j**5/15 - j**4/6 + 14*j**3/3 + 49*j**2. Factor h(r). 4*(r - 7)*(r - 1)*(r + 1) Let v be (41/6 - 6)*(-260)/3. Let x = -72 - v. Determine s, given that x + 1/9*s**2 + 1/3*s = 0. -2, -1 Let u(q) be the third derivative of -q**7/70 - 25*q**6/24 - 1279*q**5/60 + 175*q**4/8 + 147*q**3 + 3*q**2 + 46*q. What is a in u(a) = 0? -21, -2/3, 1 Let m = 28745/4 - 7186. Find q such that m*q**2 - 1 - 3/4*q = 0. -1, 4 Let k(b) be the second derivative of 7*b**8/2880 + 31*b**7/1080 - 17*b**6/270 + b**5/18 - 5*b**4/2 - 7*b. Let n(m) be the third derivative of k(m). Factor n(a). (a + 5)*(7*a - 2)**2/3 Determine y so that 457*y**2 - 146*y - 461*y**2 - 2*y + 312 = 0. -39, 2 Suppose -6 = -2*w - 2*v + 26, -74 = -5*w + v. Suppose 0 = -5*l + w, -t + 2*l - 6 = -2*t. Factor -1/2*k**2 + t + k. -k*(k - 2)/2 Let j(r) be the second derivative of r**4/48 - r**3 + 23*r**2/8 - 13*r. Solve j(n) = 0. 1, 23 Let o = -2 + 7. Let b(w) be the third derivative of o*w**2 + 0 - 1/20*w**5 - 2*w**3 + 5/8*w**4 + 0*w. Factor b(f). -3*(f - 4)*(f - 1) Let d(s) = 82*s - 488. Let k be d(6). Let y be 85/(-10)*(-2
{ "pile_set_name": "DM Mathematics" }
. Let z be 1/(-3)*(-4 + -11). Suppose -9 = -z*m - 29. Is y(m) a prime number? True Let o(g) = 105*g**2 - 9*g - 173. Is o(-12) composite? True Let u(h) = h**3 + 11*h**2 - 12*h + 4. Let l be u(-12). Let r be (-1)/(-2) + (-6)/(-4). Suppose l*i = -r*s + 7*s - 1775, -3*s + 4*i + 1065 = 0. Is s prime? False Let b(r) = r**2 + 4*r - 3. Let s = 5 + -2. Let w be b(s). Let v = w - -17. Is v composite? True Let d be (-365)/20 - (-1)/4. Let v be ((-27)/d)/(1/4). Suppose -4*j + v + 38 = 0. Is j prime? True Suppose 32 - 22 = 5*z. Suppose 0*o + o = 2*y - 123, -z*y - 3*o + 103 = 0. Is y a composite number? False Let m = -7 + 19. Let v be 3/2*(-32)/m. Is (-777)/(-2) - v/8 prime? True Let o = 26 + -11. Let v(y) = 2*y**2 - 11*y + 8. Is v(o) composite? False Suppose -9*k + 8*k + 1969 = 0. Is k composite? True Let t be (-33)/(-44)*88/(-2). Is (-166)/(-3)*t/(-2) prime? False Suppose 7 + 36 = 5*x + h, 4*h = 12. Let v(n) = 28*n - 30. Is v(x) prime? False Let w be (3 - 12)/3 - -5. Suppose -g + 3 = 0, 6*y + 5*g - 1339 = w*y. Is y prime? True Let t be 0 + -1 + -3 - -3. Let w be 3*t/(-6)*-2. Is w + (39 - (0 - -3)) a composite number? True Suppose -3*a + 5 = -4*j - 16, 0 = 2*a - j - 9. Is ((-12)/(-16))/a*2692 a composite number? False Let f(h) = -h**2 + 13*h + 8. Let r be f(14). Let y be ((-2194)/r*3)/1. Suppose 5*s = 5*d + y - 327, 0 = 5*s - 3*d - 778. Is s a composite number? True Let d(a) = -27*a**3 + 3*a**2 + 9*a - 8. Is d(-7) a prime number? True Suppose -p - 8 = -16. Suppose -5*q + p*m - 3*m = -3225, m + 2586 = 4*q. Is q prime? True Suppose 0*s = 13*s - 39. Suppose -s*j + 3656 + 871 = 0. Is j prime? False Suppose -11879 = -3*q - n, -q - 4*n + 3683 + 284 = 0. Is q a prime number? False Let s = 2946 + -1543. Suppose -11*t + s = -10*t. Is t composite? True Let x(d) = 32*d + 35. Let s(a) = 33*a + 34. Let i(b) = 4*s(b) - 3*x(b). Is i(8) a prime number? False Let u(t) = 31*t**3 - 3*t**2 + 4*t + 1. Let l be u(5). Suppose -3*m = -l - 1630. Is m prime? False Suppose -5*i - 1788 - 1187 = 0. Let b be i/(-10)*(-120)/14. Is 1/(b/(-254) - 2) prime? True Let r(w) = w**2 + 11*w - 11. Suppose g = -2*z + 6*z + 24, 0 = -3*g + 4*z + 48. Is r(g) prime? False Let i be (-4)/7 - (-390)/70. Is -194*(-20)/(-8)*(-1)/i a composite number? False Suppose k - 14 = -3*i - 2, 5*k + 4*i = 27. Suppose -3*r + 18 - k = 0. Suppose 364 = r*g - g. Is g composite? True Suppose -24 - 4 = -i. Let y = -43 + i. Let f = 48 + y. Is f prime? False Suppose 0 = -2*r + 45 + 17. Suppose -185 = -l + r. Suppose 2*i + 2*n = l - 64, -5*n = 15. Is i composite? False Is (-201)/6*-650 - 8 a prime number? True Let l(z) = -z**3 + 7*z**2 - 14*z + 42. Let m be l(6). Let t(v) be the third derivative of v**5/20 + 5*v**4/24 - v**3/6 + v**2. Is t(m) a prime number? False Suppose -2*h - 4 = 2. Suppose 0 = d - 0*d - 1. Is (-2 + d)*-40 + h composite? False Suppose -3*u + 3*p = -6*u + 315, 0 = p + 5. Let y = u - 168. Let j = 191 + y. Is j a prime number? False Let l = -9 - -12. Suppose -x - 136 - 98 = -3*k, -219 = -l*k - 4*x. Let s = k + -18. Is s prime? True Let a = 572 - 93. Is a a composite number? False Let r be (-5)/(20/(-48)) - 0. Let u(z) = -4 + r + 122*z - 3. Is u(3) composite? True Suppose -j + 16 = 4*y - 0*j, -2*y - 6 = -3*j. Is y/1 + 560/5 composite? True Let x = -3052 - -7179. Is x prime? True Let u be (-14)/(-21)*(2 + -1 + 2). Suppose 8 = -2*r, 55 = -3*z + u*r + 1158. Is z a composite number? True Let m = 1 - -3. Let i be (1 - 4)/(-3 - 704/(-235)). Suppose i = -m*d + 9*d. Is d a prime number? False Suppose 3*o - 4*u - 50745 = 2180, -4*u - 17631 = -o. Is o a prime number? False Let z(i) = -i**3 + 15*i**2 + i - 4. Let k(l) = l**3 - 9*l**2 - 9*l + 1. Let v be k(10). Is z(v) a prime number? True Suppose 0 = -n - 0*n + 2. Suppose h - 23 + n = 0. Is h/(-2)*296/(-12) composite? True Let t = -4475 + 18211. Let s = t - 9747. Is s prime? True Is 4/(-10) + ((-370672)/(-20))/4 a composite number? True Suppose -6*a = 6*a - 24. Suppose 3*k - 381 = -0*s - a*s, 2*k - 254 = s. Is k prime? True Let m(w) = 49*w**2 - 8*w - 2. Let i be m(-3). Let j = i + 1312. Suppose 3*v - j = h + 1199, 0 = 5*v - 2*h - 4955. Is v prime? False Suppose 3*w - 6 = 6. Suppose 0 = w*b - 9*b + 18755. Suppose -4*v + 3*i + 7805 = 0, 5*v = -4*i + b + 5982. Is v a prime number? True Let q be (3/(-9))/(1/501). Let f = q + 18. Let r = 504 + f. Is r a composite number? True Let j = -2493 - -3656. Is j a composite number? False Suppose -4*k + 4600 = f, -7*f + 2*f - 20 = 0. Is k composite? False Let n(x) = x**2 + 2*x. Let g = 11 + -11. Let t be n(g). Suppose t = 2*z - 54 - 56. Is z prime? False Suppose 427 = -3*j + 1072. Suppose -1665 = 5*w - j. Let g = w - -853. Is g prime? True Let z = -9877 + 21054. Is z a composite number? False Let p(s) = 2*s**2 - 8*s - 4. Let r be p(4). Let d(h) = 4 - h - 3 - h**3 + 4 - 3*h**2. Is d(r) a prime number? False Let o(s) = 295*s**3 - s**2 - 5. Is o(2) prime? True Let o(z) = -14*z + 2939. Is o(0) a composite number? False Is (-2)/(5/24110*-4) composite? False Suppose 36 = -0*i - 3*i. Let p be (-2 + 2)/(i/(-4)). Is 128 + -2 + p - -1 prime? True Suppose 0 = z + 106 - 108. Is (z - 0 - -51) + -2 a composite number? True Let a(z) = -z + 2129. Let b be a(0). Let d = b + -1113. Suppose d = 3*s + s. Is s prime? False Let j(h) = -h**2 - h - 5. Let i be j(-4). Let u(v) = v**3 - 10*v**2 + 12*v - 3. Let z be u(9). Let o = z + i. Is o a composite number? False Suppose 25*h = -5*h + 3759690. Is h prime? False Suppose 3*o - 1 = 2*o. Is ((2797 - -1)/2)/o a prime number? True Suppose -2*d - 3*d = -4755. Let n = d + -187. Is ((-1)/2)/((-2)/n) composite? False Suppose -5*c = -2*x + 11346, 0 = -0*x + x + 3*c - 5651. Is x prime? False Suppose 20 = c + 2*s + s, 20 = c - 4*s. Let n(k) = 5 - 1 - 2 + c*k. Is n(4) a prime number? False Let z(j) = -85*j**3 + 4*j + 5. Let p(f) = f**2 - 9*f - 28. Let l be p(12). Suppose -l = -2*h + 6*h. Is z(h) prime? True Let n be 10*1*3/6. Suppose -5*g - 72 + 1332 = n*m, 5*m + 716 = 3*g. Suppose 175 + g = u - 3*s, 4*u + s = 1649. Is u composite? True Suppose 0 = -5*f - f. Suppose f = -4*a + 59 + 249. Is a prime? False Let n = 13798 + 2864. Is (n/6)/(1/(-2)*-2) a composite number? False Let m = -14 + 19. Suppose -4*j + 2716 = -4*k, j - m*k = 4*j - 2029. Suppose -h + 244 = -5*w + 1352, -j = -3*w + 5*h. Is w a prime number? False Let d(b) = 10*b**2 - 11*b + 11. Let f(n) = 21*n**2 - 21*n + 22. Let x(a) = 13*d(a) - 6*f(a). Let p(c) be the first derivative of x(c). Is p(18) prime? True Suppose 3*q - 1600 - 2369 = 0. Suppose -6792 - q = -3*t. Is t prime? False Suppose q + d - 11852 = 86129, 0 = 3*q - 3*d - 293943. Is q prime? False Let v = -1015 - -2630. Let q = 6476 - v. Is q composite? False Is (-26)/91 + (-94509)/(-7) composite? True Let n(m) = m**3 - 3*m**2 - 3*m + 2. Let q be n(4). Suppose 0 = -4*o + q*o. Let v(r) = r**3 + r**2 + 2*r + 307. Is v(o) a composite number? False Suppose -6*l + 1465 = -l. Is l composite? False Let r(s) = -17 - 7 + 13*s + 41 + 19*s. Let y be 1/(-3 + (-56)/(-18)). Is r(y) composite? True Let r(t) = 339*t - 9. Let n be r(-3). Let h = n - -1693. Is h a prime number? False Let n(b) = -4 + 1 + 16*b - 7*b. Suppose 3*r = -v - 2*r - 8, -12 = -2*v + 4*r. Is n(v) composite? True Suppose -6*q - 1292 = -4646. Suppose 0 = -4*z + 333 + q. Is z a composite number? False Let x be 0 + (2 - (-36)/3) + -2. Is (1485 + 1)*(66/x)/11 a composite number? False Let w = -2 - -33. Suppose w = 2*h - 43. Is h a prime number? True Suppose -1341622 + 350832 = -10*a. Is a prime? True Is 2847 + ((-42)/231 - (-128)/(-22)) a prime number? False Suppose 10 + 6 = 4*n. Is n*(-886)/32*-4 composite? False Let h = -28 + 2110. Suppose h = -u + 7*u. Is u composite? False Let b = 4359 - 1360. Is b composite? False Let y(z) be the first derivative of 3*z**3 + 3*z**2/2 - 4*z + 1. Let b be y(-4). Let u = -69 + b. Is u a prime number? True Let j be 1/((-1)/(-36)) + 2/2. Is j/1*(-5 - -16) composite? True Let s(w) = -w. Let u be s(-1). Let b(p) = p**2 + 2*p - 1. Let h be b(u). Suppose 256 = h*n - 2*z, -3*n - 3*z - 24 = -378. Is n prime? False Let v(a) = a**2 + a - 6. Let g be v(-3). Suppose 4*r - 49 = -2*m - 7, g = -5*m + 5*r + 120. Is m composite? False Let s be (0 - -6)*625/15. Let w be (3/(-1) + 0 - -3) + -123. Let i = s + w. Is i composite? False Let
{ "pile_set_name": "DM Mathematics" }
ounded to the nearest one thousand? -77000 What is 1454.41 rounded to the nearest one thousand? 1000 Round -0.0000758 to five decimal places. -0.00008 What is 22.28 rounded to the nearest integer? 22 What is -86.66 rounded to zero dps? -87 What is -1.6644 rounded to two decimal places? -1.66 What is 21020000 rounded to the nearest 1000000? 21000000 What is 0.02479 rounded to 2 decimal places? 0.02 Round 209740 to the nearest ten thousand. 210000 What is 22700000 rounded to the nearest one million? 23000000 What is -384480 rounded to the nearest one thousand? -384000 What is -2.198 rounded to one decimal place? -2.2 What is -14.641 rounded to 1 dp? -14.6 What is -1915000 rounded to the nearest 100000? -1900000 Round 31790000 to the nearest 1000000. 32000000 Round 0.509 to one dp. 0.5 What is -0.168 rounded to three dps? -0.168 Round -30.36 to the nearest 10. -30 Round -225.98 to the nearest integer. -226 Round 0.07642 to three dps. 0.076 What is 0.000011175 rounded to 6 dps? 0.000011 Round -3956000 to the nearest 1000000. -4000000 What is 0.86659 rounded to 1 decimal place? 0.9 What is 0.000001316 rounded to 7 dps? 0.0000013 What is -80.083 rounded to the nearest integer? -80 What is -71.44 rounded to zero dps? -71 What is 0.0000035999 rounded to 7 decimal places? 0.0000036 What is 63560 rounded to the nearest one thousand? 64000 What is 0.002848 rounded to 3 decimal places? 0.003 Round -0.00072731 to five dps. -0.00073 What is -0.0010948 rounded to 5 decimal places? -0.00109 What is 81.9 rounded to the nearest 10? 80 Round -0.02382 to three dps. -0.024 What is 50.2 rounded to the nearest 10? 50 Round -0.0075643 to 4 dps. -0.0076 What is 11.93 rounded to the nearest integer? 12 What is 162960 rounded to the nearest ten thousand? 160000 What is -60.725 rounded to the nearest integer? -61 Round -0.00007 to 5 dps. -0.00007 What is -12756 rounded to the nearest one thousand? -13000 What is 0.002159 rounded to three dps? 0.002 What is -335.87 rounded to the nearest one hundred? -300 Round -0.22161 to 2 dps. -0.22 What is 0.00062497 rounded to 5 decimal places? 0.00062 Round 15615 to the nearest 100. 15600 Round 929140 to the nearest 100000. 900000 Round 0.00000124128 to 7 decimal places. 0.0000012 Round -0.044089 to 3 dps. -0.044 What is 4270 rounded to the nearest 100? 4300 Round 0.00529 to 3 dps. 0.005 What is -48.391 rounded to the nearest ten? -50 What is 0.000003522 rounded to 6 decimal places? 0.000004 Round -3.129 to one dp. -3.1 Round -0.00003553 to six dps. -0.000036 What is -863.6 rounded to the nearest 10? -860 Round -0.00094465 to six decimal places. -0.000945 What is 3.804 rounded to one dp? 3.8 Round -0.001635 to 4 dps. -0.0016 What is 0.0353 rounded to two dps? 0.04 Round -9179 to the nearest one thousand. -9000 What is -14362000 rounded to the nearest one million? -14000000 Round -0.000005568 to seven dps. -0.0000056 What is 0.01511 rounded to three dps? 0.015 Round -0.000006927 to 6 decimal places. -0.000007 Round 0.00004876 to six decimal places. 0.000049 What is 0.000016033 rounded to six dps? 0.000016 Round -24.539 to 1 decimal place. -24.5 What is 5024000 rounded to the nearest one hundred thousand? 5000000 What is 0.00001101 rounded to six dps? 0.000011 What is -120.2 rounded to the nearest ten? -120 What is 3098000 rounded to the nearest one million? 3000000 Round -366000 to the nearest one hundred thousand. -400000 What is -5487.5 rounded to the nearest 100? -5500 What is 113638000 rounded to the nearest one million? 114000000 What is 3.977 rounded to one decimal place? 4 What is 0.0025819 rounded to 4 decimal places? 0.0026 Round 0.002537 to three decimal places. 0.003 What is 0.030264 rounded to 3 decimal places? 0.03 What is -0.000031318 rounded to 6 dps? -0.000031 Round 9040000 to the nearest 1000000. 9000000 Round -13.32 to one dp. -13.3 What is 10200000 rounded to the nearest one million? 10000000 What is -7.317 rounded to the nearest integer? -7 What is -0.03046 rounded to 1 decimal place? 0 What is 0.001 rounded to two dps? 0 Round 26.21 to the nearest integer. 26 What is 323.19 rounded to the nearest integer? 323 What is -0.0004442 rounded to 5 dps? -0.00044 What is -0.00020985 rounded to 5 dps? -0.00021 Round 0.01286 to 2 dps. 0.01 Round 0.36955 to three dps. 0.37 What is 30377 rounded to the nearest one hundred? 30400 Round -0.03596 to three decimal places. -0.036 What is -353900 rounded to the nearest 10000? -350000 Round -727200 to the nearest one hundred thousand. -700000 Round -10.59 to the nearest 10. -10 What is -0.14441 rounded to three decimal places? -0.144 Round 0.01106 to one decimal place. 0 What is 0.0003693 rounded to 5 dps? 0.00037 Round -25.2 to the nearest integer. -25 Round 240240000 to the nearest one million. 240000000 What is 5087 rounded to the nearest one hundred? 5100 What is 59200 rounded to the nearest ten thousand? 60000 What is 0.39909 rounded to 2 dps? 0.4 Round 12.69 to 1 dp. 12.7 Round 26.89 to zero dps. 27 Round -0.1597 to 2 decimal places. -0.16 What is 0.0000004711 rounded to seven decimal places? 0.0000005 Round -302.48 to the nearest 10. -300 What is -269000 rounded to the nearest one hundred thousand? -300000 What is -19.653 rounded to 1 dp? -19.7 What is -479 rounded to the nearest ten? -480 What is -0.000007152 rounded to 7 dps? -0.0000072 What is -0.000011983 rounded to 7 dps? -0.000012 What is 14374.8 rounded to the nearest 10? 14370 What is -0.000024194 rounded to 7 decimal places? -0.0000242 Round 213045000 to the nearest 1000000. 213000000 What is 0.36168 rounded to 2 decimal places? 0.36 Round -0.00804 to three dps. -0.008 Round 0.00000315002 to 7 dps. 0.0000032 Round -72300000 to the nearest 1000000. -72000000 What is -2.8295 rounded to 1 decimal place? -2.8 What is -0.0002523 rounded to 5 dps? -0.00025 Round 60.3 to the nearest ten. 60 Round -0.00005553 to 5 dps. -0.00006 What is 15465 rounded to the nearest 1000? 15000 Round -0.000005324 to seven dps. -0.0000053 What is 51.78 rounded to 1 decimal place? 51.8 What is 0.0000022992 rounded to 7 decimal places? 0.0000023 Round -2.4588 to zero decimal places. -2 What is -5139.7 rounded to the nearest one thousand? -5000 Round 24.055 to 1 decimal place. 24.1 What is -1328000 rounded to the nearest one million? -1000000 Round 0.00043969 to five dps. 0.00044 What is 15.1064 rounded to 0 dps? 15 Round 41.33 to the nearest ten. 40 Round 5480000 to the nearest 100000. 5500000 Round 3.26574 to two decimal places. 3.27 Round -100750 to the nearest one thousand. -101000 Round 0.078 to 2 decimal places. 0.08 What is -3343.2 rounded to the nearest 10? -3340 What is -70.7 rounded to the nearest one thousand? 0 What is 40.92 rounded to the nearest integer? 41 Round -178.14 to 0 decimal places. -178 What is -0.0046874 rounded to three decimal places? -0.005 Round -587.07 to the nearest one hundred. -600 Round 0.51202 to three decimal places. 0.512 What is 0.00103367 rounded to four dps? 0.001 What is -0.00000989 rounded to 6 dps? -0.00001 Round 2.753 to one decimal place. 2.8 What is 0.018 rounded to 2 dps? 0.02 Round -4916300 to the nearest one hundred thousand. -4900000 Round 0.002778 to four dps. 0.0028 What is 16.6 rounded to 1 decimal place? 16.6 Round 0.284757 to two decimal places. 0.28 What is -171.44 rounded to the nearest ten? -170 What is -25.1 rounded to the nearest 10? -30 What is -1640 rounded to the nearest 1000? -2000 What is -0.0363 rounded to two decimal places? -0.04 What is -4279 rounded to the nearest 100? -4300 What is -27510000 rounded to the nearest 1000000? -28000000 What is -0.000039702 rounded to 7 decimal places? -0.0000397 Round 0.002167 to 4 dps. 0.0022 Round -123.495 to the nearest ten. -120 What is 0.0012344 rounded to 4 dps? 0.0012 What is 8350000 rounded to the nearest 100000? 8400000 Round 1308000 to the nearest 100000. 1300000 Round 0.00304241 to 4 decimal places. 0.003 Round 0.0069419 to three decimal places. 0.007 Round -2714.8 to the nearest one hundred. -2700 What is -0.000006201 rounded to six decimal places? -0.000006 What is -248980 rounded to the nearest ten thousand? -250000 What is 0.0000104 rounded to four decimal places? 0 Round -1699.8 to the nearest 10. -1700 Round 726300000 to the
{ "pile_set_name": "DM Mathematics" }
e smallest common multiple of k and 8? 88 Let u(n) = 28*n + 2. What is the least common multiple of u(1) and 10? 30 Let j(y) = 4*y**2 - 4*y + 2. Let s be j(2). Suppose s = -0*i + i. What is the least common multiple of 20 and i? 20 Suppose 5*k + 4*d = 5, -5*k - 4*d - 5 = -2*d. Let n = 4 - k. Calculate the least common multiple of n and 4. 28 Let c be ((-6)/8)/((-2)/8). Suppose -59 = -c*i - 17. Suppose -30 = a - 6*a - 4*d, -3*a - 2*d = -18. Calculate the least common multiple of a and i. 42 Let t = 8 - -1. Suppose -t = 3*k - 0*k. What is the common denominator of (-83)/(-24) + 1/k and -49/2? 8 Let o be (2/(-4)*2)/1. Let c = 2 - o. Let i = c - -5. What is the least common multiple of i and 2? 8 Suppose 0 = -2*f + 7*f. Suppose -3*g - g + 32 = f. Let t = 3 + 11. Calculate the smallest common multiple of t and g. 56 Suppose 4*u - 2934 = -13626. Let h be (u/12)/((-276)/2). Let a = h + 75/23. What is the common denominator of a and 21/8? 8 Calculate the common denominator of 87/10 and 1/5 + 685/75. 30 Let d(g) = -6*g**3 - 2*g**2 - 2*g - 1. Let b be d(-1). Let z(v) = -2*v + 1 + v**2 + 2 - b. What is the lowest common multiple of z(3) and 11? 11 Let f = 6117 + -122243/20. Let h = 4307 - 43017/10. Calculate the common denominator of h and f. 20 Let x = 7890 - 78979/10. What is the common denominator of 61/8 and x? 40 Let m(p) = -p**2 - 5*p + 2. Let u be m(-3). Suppose u*j - 3*j - 66 = -4*v, 3*v = -3. Suppose 0*f = -f + j. Calculate the smallest common multiple of 20 and f. 140 What is the least common multiple of (672/140)/((-1)/(-5)) and 3? 24 What is the common denominator of (1 - 148/35)/(4/(-5)) and 87/20? 140 Suppose 0*q = q - 200. Let o = -3447/11 - -313. Calculate the common denominator of o and (-1)/(-6)*q/(-6). 99 Suppose 0 = -10*w + 8 + 12. What is the smallest common multiple of w and 198? 198 Suppose -15 + 5 = w. Calculate the common denominator of -119/6 and (-138)/(-8) - w/5. 12 Suppose 3 = -g + 17. Calculate the smallest common multiple of 12 and g. 84 Let s = 22 + -13. Suppose -l = -1 - 5. Suppose 4*o + 12 = l*o. Calculate the smallest common multiple of s and o. 18 Let n = 59 + -43. What is the lowest common multiple of n and 20? 80 Suppose -32 = 3*f + 4*t, 8 = 2*f - 3*f - 4*t. What is the common denominator of 45/4 and (-3)/(-7)*110/f? 28 Let y = 46 - 16. Calculate the least common multiple of 12 and y. 60 Find the common denominator of 9/5*(-124)/24 and -65/4. 20 Let p = 17251/7 - 2457. Find the common denominator of (6/20)/(42/(-1015)) and p. 28 Let w(n) = n**3 + 21*n**2 + 19*n - 10. Calculate the lowest common multiple of 16 and w(-20). 80 Let f be 3/6*-2 - -3. What is the lowest common multiple of f + (-9)/((-2)/2) and 10? 110 Let h be (-3 + -3)/(1/3). Let j be 4/h*-3*6. Suppose -g + 0 + j = 0. Calculate the lowest common multiple of g and 9. 36 What is the common denominator of 73/8 and 103/9 + -15 + 11? 72 Let q(d) = -5*d + 1. Let j be q(-6). Suppose j + 8 = -3*x. Let y = x + 33. Calculate the least common multiple of y and 10. 20 Suppose -5*v = t + 13, -2*t - 2*v - 2*v - 14 = 0. Let a = 2781/4 - 3488/5. Find the common denominator of a and (-95)/(-12)*(-2)/t. 180 What is the common denominator of -50/9 and (-202)/120 + (-32)/(-96)? 180 Let j = 5524/7 + -1815/14. Let x = -672 + j. Find the common denominator of x and -117/14. 14 Calculate the lowest common multiple of (-3)/(-15) - 68/(-10) and 11. 77 Let j(d) = d**3 + 10*d**2 - 3*d - 22. What is the least common multiple of 12 and j(-10)? 24 What is the common denominator of 308/3248*(-1 + (-15)/(-1)) and 91/10? 290 Let r(t) = 7*t + 3. Let q(a) = 4*a + 1. Let i(p) = 5*q(p) - 3*r(p). Let s be i(-8). Suppose -s*y + y = -6. Calculate the lowest common multiple of 11 and y. 22 Let m = -6 - -19. Suppose 2*c - 8 = 3*h + m, 5*c = 3*h + 48. Calculate the common denominator of -95/4 and (-102)/c*(-10)/(-8). 12 What is the common denominator of (-242)/3*(-16)/(-192) and 22/9? 18 Find the common denominator of (2/120)/(2/385) and 83/18. 72 Let i = -36 + 141/4. Let g(k) = k**3 - 8*k**2 + 7*k + 2. Find the common denominator of i and g(6). 4 What is the common denominator of (-65)/(-6) + (10/(-3) - -4) and 107/36? 36 Let c = 8893/10 + -884. Calculate the common denominator of c and 59/22. 110 Suppose -24 + 6 = m. Let z = 53 - 10. Calculate the common denominator of z and 1/(33/8)*m. 11 Suppose -10 = 5*i, -4*j + 4*i - 7 = -7*j. Calculate the lowest common multiple of j and 11. 55 Let s be (-6)/21 + 110004/4480. Let h = s + -3/160. Find the common denominator of -68/3 and h. 12 Let o be 4/(-22) - 26760/(-165). Calculate the common denominator of o/4 + -2 + 3 and -5/2. 2 Suppose -j = -3*m + 315, 0 = 5*j - 2*j + 3*m + 1005. Let f = 2623/8 + j. What is the common denominator of f and -9/11? 88 Let a = -17 - -29. Let s be (-262682)/a*(-3)/(-21). Let y = s + 3147. Find the common denominator of -47/11 and y. 66 Let h = -71871/20 - -3589. Calculate the common denominator of h and -5/12. 60 Let a = -2646 - -2881492/1089. Let m = 16331/2178 - a. What is the common denominator of -1*2 - 162/20 and m? 10 Suppose -3*b + 4*z + 27 = 0, 62 = 7*b - 2*b - z. Calculate the least common multiple of 6 and b. 78 Suppose -n - 150 = 5*c, 4*c + 2*n + 158 = 32. Let d = -7974 - -47983/6. Calculate the common denominator of d and (-6)/21 + c/14. 42 Suppose 2*x + 0*x = -36. Let h = x + 34. What is the lowest common multiple of 10 and h? 80 Let f(p) = -3*p**3 + p**2 - 1. Calculate the smallest common multiple of f(-1) and 7. 21 Suppose 0*l + l = 4*s - 99, 5*l = 3*s - 70. What is the smallest common multiple of s and 3? 75 Let l(h) = -h - 2. Let w be l(-5). Let n(d) = w + 3 - 4*d + 3*d. Calculate the least common multiple of n(5) and 9. 9 Find the common denominator of (-3885)/84 + (-1)/4 and -44/5. 10 Suppose 3*t - 29 = 2*s, 3*s + 2 = -1. What is the least common multiple of t and 2? 18 Let q = 117911/16610 - -2/1661. Find the common denominator of (-1)/(-2)*(102 + -1) and q. 10 Suppose 5*a + 4*p - 35 = 0, 5*a - 2*p = -p + 10. What is the common denominator of a/54*-127 - 0 and -127/18? 18 What is the common denominator of 1/(-3) - 2*23/8 and -59/8? 24 Let f(x) = -x**3 - 4*x**2 + x - 6. Suppose 2*q + q - 24 = 0. Suppose q = u - 4. Calculate the least common multiple of u and f(-5). 84 Let o be (-12)/5*20/6. Let b = o - -11. Calculate the smallest common multiple of b and 3. 3 Suppose 0 = 5*s - 13 - 17. What is the lowest common multiple of s and (-123)/(-12) - (-2)/(-8)? 30 Let h be 3/2*2/(-932). Let v = h - -34033/4660. What is the common denominator of v and 11/14? 70 Suppose c - 3*c - 2*s = -46, 0 = 2*c + s - 51. What is the least common multiple of 40 and c? 280 Let h = -15923 + 334447/21. Calculate the common denominator of 52/15 and h. 105 Let r(m) = m**3 + 6*m**2 - 2*m - 9. Let p be r(-6). Suppose -y - 4 = p*y. What is the common denominator of -91/4 and (-57)/(-60) + 0 - y? 20 Suppose 10 = 2*t - 6. Let k(v) = v**3 - v**2 - v. Let g be k(2). Calculate the smallest common multiple of (2 + (-2 - g))*-2 and t. 8 Let k(z) = -3*z - 7. Let d be (-98)/(-12) - (-3)/(-18). Suppose d = -2*o + 3*o. What is the lowest common multiple of k(-6) and o? 88 What is the common denominator of (-4)/((-128)/(-156)) + -3 and 4/9? 72 Let k(b) = -b**2 - 9*b - 6. Let h be -2*(-10)/4*1. Suppose 0 = h*t - 8*t + 24. What is the smallest common multiple of k(-4) and t? 56 Let w = 13256 - 12911345/974. Let x = w + -8035/487. Calculate the common denominator of x and -15/4. 4 Let s = 4 - 3. Let u be s + -121 - 2/10. Let b = -9791/80 - u. Find the common denominator of b and -73/8. 16 Let t = 519/368 - 8/23. Let r be -7 + (0 - 1) - 1. Calculate the common denominator of r/5*(-69)/(-18) and t. 80 Let m(x) be the third derivative of -x**6/120 + x**5/15 + x**3/3 - x**2. Let i = -11 - -21. Calculate the least common multiple of m(2) and i. 10 Suppose 2*f + 2*n + 2 = 22, 0 = -5*f - 2*n + 35. Let d(m) = -m + 7. Let c be d(0). Let x = c - f. Calculate the lowest common multiple of x and 18. 18 Suppose 2*g - 5*g + 33 = 0. Calculate the lowest common multiple of 2 and g. 22 Let b(i) = -i**2 - 4*i - 6. Let f be b(-4). Let n be 165609/330*(-3)/f. Let l = n + -2709/11. What is the common denominator of -73/6 and l? 60 Let u be (3 - 1241/(-7)) + 2. Let d
{ "pile_set_name": "DM Mathematics" }
)*(-4*b**2 - b**2 + 0*b**2). -5*b**4 Expand (-3 + 0 + 1)*(-k**3 - 1 + 1) - k**3 + 2*k**3 + k**3 - 3 - 6*k**3 + 3 + (0*k + k + 0*k)*(-3*k**2 - 3*k**2 + 4*k**2). -4*k**3 Expand (-23*u - 4 + 3 + 2)*((-4*u - u + 7*u)*(3 - 2*u**2 - 3) + (-4*u + 3*u + 0*u)*(-u**2 + 3*u**2 - 4*u**2) + 0 + 0 + 3*u**3). -23*u**4 + u**3 Expand (-5*o + o + 5*o)*(0 + 0 - o) - o**2 + 5*o - 5 + 5. -2*o**2 + 5*o Expand (-2*i**2 + 5 - 5)*(-i + i - i**3 + (4*i - 4*i - i**2)*(0 - i + 0) + 3*i**3 - 2*i**3 + 0*i**3 + 0*i**3 + i**3 + i**3). -6*i**5 Expand (19*h - 14*h + 48 - 4*h)*(5*h**3 - h**3 - 2*h**3). 2*h**4 + 96*h**3 Expand 2*w**5 - 2*w**4 + 2*w**4 + (w - w - 2*w**2)*(-2*w**3 + w**3 + 2*w**3) + 4*w**3 - 2*w**5 - 4*w**3 + 2*w**5 + 0*w**5 - 3*w**5 - 46*w**5 - 141*w + 141*w. -49*w**5 Expand (-22*x - 2 + 1 + 27*x)*(1 + 4 - 7). -10*x + 2 Expand 0 + 0 + l + (1 - 2 - 2)*(3 - 1 - 3)*(-6*l + 7*l + 6*l). 22*l Expand (1 + 16 - 1)*(-3*z + 3*z - z**2). -16*z**2 Expand (4 + 5 - 2)*(f - 1 - 1 + 0)*(3*f - 5*f + f). -7*f**2 + 14*f Expand (-1 + 0 + 3)*(-2 + 2 - d)*(3*d**3 + 2*d**3 - 3*d**3). -4*d**4 Expand 3*c**3 - 7*c**2 + c**2 - c**3 + (-1 - 4 + 4)*(-c + 4*c - 5*c)*(-2*c**2 + c - c). -2*c**3 - 6*c**2 Expand 20 + 6*a - 20 + (-5 + 5 - 1)*(2*a - 2*a - a) - a + 2*a + a + (-2 + 1 - 1)*(2*a - a + 0*a). 7*a Expand (2 - 3 - 2)*(-2*j + 3*j + 0*j)*(5 - 5 - j). 3*j**2 Expand (-14*y**2 + 25*y**2 + 32*y**2)*(0 + 0 + y)*(1 - 1 - y). -43*y**4 Expand (-2 - 8 + 5)*(-7*c + 2*c + 3*c)*(c + 2*c - c). 20*c**2 Expand (3 + 0 - 5)*(-2*c - c - c) - 3*c - c + c. 5*c Expand (a - 2*a + 2*a)*(5*a**2 - 3*a + 3*a + (0 + 0 + 1)*(2*a - 2*a + 2*a**2)) + 2*a**3 + 2*a**3 - 7*a**3. 4*a**3 Expand 2 - 2 + 2*t + (1 - 1 - 2)*(-t + 0 + 0) + 2*t - 1 + 1 - 7 + 7 + 7*t. 13*t Expand -2*c**4 + 1 - 1 + 2*c**4 - c**3 + c**3 + (5*c + 13*c**3 - 5*c)*(c + 0 + 0) + c**4 - 5*c**4 + 3*c**4. 12*c**4 Expand 2*g**5 - 2*g**5 + 2*g**5 + (0 + 4 - 3)*(0*g - g**2 + 0*g)*(2 - 2*g**3 - 2). 4*g**5 Expand (0*s**3 - 5*s**3 + 3*s**3)*(0*s - 3*s + 2*s)*(0 - 1 - 1)*(-4 - 1 + 4). 4*s**4 Expand (3*w - 4 + 6 - 5*w)*(-5 + 0 + 3). 4*w - 4 Expand (-4 + 0 + 2)*(0*m + 2*m - 3*m) + m + 5 - 5 + (-3 + 0 + 2)*(-m + 1 - 1). 4*m Expand (p**2 + 0*p**2 - 3*p**2)*(8*p**2 + 4*p**3 - 8*p**2) + (3*p - 2 + 2)*(2*p**4 - 5 + 5). -2*p**5 Expand (k + 3*k - 2*k)*(1 + k - 1) + 5*k - 2*k**2 - 5*k + (0*k**2 + 0*k**2 - k**2)*(-2 - 2 + 3) - 2*k**2 + 2*k**2 - 4*k**2. -3*k**2 Expand (0*i**4 - i**4 + 0*i**4)*(2 + 0 + 0) - 20*i**4 - i**4 + 0*i**4. -23*i**4 Expand (-333 + 333 - 24*m**3)*(-6*m + 2*m + 2*m). 48*m**4 Expand -2*y**3 + 0 + 0 + (-1 + 2*y + 1)*((5*y + 0*y + y)*(-6*y + 3*y + 4*y) + y**2 - 2*y**2 - y**2). 6*y**3 Expand k + 2*k - 2*k + (-3 + 0 + 1)*(-1 - 2*k + 1) + 3*k - 3*k - k + 4*k - 3*k + 0*k - k + 3*k - k - k + k + 2*k + 14*k + 26*k + 2*k. 50*k Expand (-2 + 6*c**2 + 2 - 16*c**2)*(7*c**2 + 8*c**2 - 2*c**2). -130*c**4 Expand -3*s**5 - 2*s**3 + 4*s**3 + 4*s**5 - 8 + 8 + 4*s**5 + (2*s**3 - 4*s**3 + 0*s**3)*(0*s + 0*s - s**2). 7*s**5 + 2*s**3 Expand (-6 - 6*k + 0*k + 3*k)*(2 + k - 2). -3*k**2 - 6*k Expand (6 - 2 - 2)*(-r**2 - 2*r**4 + r**2) + (-r**4 + 3*r**4 + r**4)*(-5 + 4 + 3). 2*r**4 Expand (-4*o + 4*o + 2*o)*(6 - 1 - 3 + (-37 + 29 + 40)*(2 + 4 - 4))*(-4 - 4 + 6). -264*o Expand (4*d - d - 4*d)*(21*d - 6*d - 33*d). 18*d**2 Expand (3 + t - 3)*(0 + 1 + 1) - 3*t + 0*t + 2*t + (3 + 4 - 6)*(0 + 0 - 2*t). -t Expand (-14*n + 14*n + 9*n + (-2 + 3 - 3)*(-n - 2*n + 5*n))*(2 - 1 - 3). -10*n Expand (0*c - 3*c + 0*c + (1 + 1 - 1)*(c - 2*c + 0*c) + c + c + 0*c)*(-1 + 6 - 3). -4*c Expand (4*s - 6*s - 3*s)*(0 + 4 - 1). -15*s Expand (-5 + 1 + 1 + (3 - 1 - 3)*(-3 + 2 + 2))*(-2*d + d**2 + 2*d). -4*d**2 Expand (0*a**2 - 3*a**2 + 2*a**2)*(2*a**2 + 0 + 0) + (0*a**2 + 0*a**2 + 3*a**3)*(-2*a + 3 - 3). -8*a**4 Expand -5*m + m**2 - 2 + 12*m - 4*m + (-m + 0*m - 2*m)*(-m + 0*m + 3*m). -5*m**2 + 3*m - 2 Expand -8*d**3 + 31 - 31 + (0 - 2*d**2 + 0)*(d + 3 - 3) + 0*d**3 - d**3 - d**3 + (d - 4*d + 4*d)*(-4*d**2 + 7*d**2 - d**2). -10*d**3 Expand -2*i + i + 3*i - 6*i + 5 - 5 + 0*i + 2*i + 0*i + (2 + 0 + 0)*(3*i - 3*i - 2*i) - 2*i + 9 - 9 + 2*i - 2 + 2 + (2 - 6 + 2)*(-3 + 3 + i) + i - 2*i + 0*i. -9*i Expand (0 + 0 - 4)*(3 - 3 + 3*v**3)*(-2 + 2 + v) + (3 - 3 - 2*v**2)*(v + v**2 - v) - 2*v**2 + 2*v**2 - 2*v**4. -16*v**4 Expand (17 - 17 + x**2)*(-2*x + 6*x - x)*(3*x + x - 2*x + (2*x + 1 - 1)*(1 - 1 + 2)). 18*x**4 Expand (-5*m**2 - m**2 + 4*m**2)*(0*m**2 + 0*m**2 + 2*m**3) + m**5 - m**3 + m**3 + 0*m**5 - 3*m**5 + 0*m**5. -6*m**5 Expand -j**5 + j**5 + j**5 + (-5*j**5 + 4*j**5 + 2*j**5)*(-1 + 0 + 2) + 2*j**5 - 4*j**5 - 3*j**5 + (-j - 2*j**4 + j)*(-2 + 2 + 2*j) - 6*j**5 + 3*j**5 + j**5. -9*j**5 Expand (2*c**2 + 0*c**2 + 2*c**2 + c)*((0*c + 2*c + 0*c)*(-1 + 1 - 2) - 2 + 2 - 2*c). -24*c**3 - 6*c**2 Expand (-6*h + 4*h + 0*h)*(-16 - 10 + 10)*(2*h - 6*h + 2*h). -64*h**2 Expand (w**2 - 2*w**2 + 0*w**2)*(-19*w + 9*w**2 + 19*w)*(0 + 1 - 2). 9*w**4 Expand (0*s + 0*s + 2*s**3)*(-15*s**2 + 10*s**2 - 13*s**2 + (0 - 1 + 2)*(-2*s**2 + 3*s - 3*s)). -40*s**5 Expand (0 + 1 + 1)*(3*q**4 - 16*q**4 - 3*q**4 + q**4 + 0*q**4 + q**4 + (1 - 1 - 2*q**2)*(-q**2 - q**2 + 0*q**2)). -20*q**4 Expand 2*s**3 - 2*s**3 - 2*s**3 - s**2 - 2*s**3 + s**2 + (-3 - 3 + 3)*(s**3 + 2*s**2 - 2*s**2) + 2 + 0*s**3 + s**3 + 0. -6*s**3 + 2 Expand (4 - 6*l - 4)*(-3*l**3 - 3*l**3 + 4*l**3) + (5*l - 7*l - 6*l)*(-4*l**3 + 2*l**3 + 3*l**3). 4*l**4 Expand (0 + t**2 + 0)*(t + 3*t - t)*(6 - 5 - 3 + 1 + 0 - 2 + (2 - 2 + 2)*(2 + 0 - 1) - 6 + 2 + 1). -12*t**3 Expand (d - 2 + 2)*(-11 + 2 - 2)*(-2*d + 0 + 0). 22*d**2 Expand (3*k**2 - 4*k**2 - 2*k**2 + 2)*(4*k**2 - 4*k**2 + 1 - 2*k**3). 6*k**5 - 4*k**3 - 3*k**2 + 2 Expand (-4 - 2 + 2 - 3 + 0 + 1 + (1 - 3 + 0)*(0 - 2 + 0))*(4*d + 8 - 8). -8*d Expand (-1 + 1 - i)*(3*i - 7*i + 2*i)*(2*i**3 - 4*i**2 + 4*i**2). 4*i**5 Expand -4*p**4 + 4*p**4 + 2*p**5 - 6*p**5 + 4*p**5 - 5*p**5 + (p**3 - 4*p**3 + 2*p**3)*(-2*p**2 + 0*p**2 + 3*p**2) - 2*p**2 + 2*p**2 - 2*p**5. -8*p**5 Expand (-2*l - 10 + 10)*(7*l - 2 - 8*l**3 - 7*l). 16*l**4 + 4*l Expand (2*a**2 + a - a)*(-2 + 1 - 2 + (-3 + 4 + 1)*(-3 + 1 + 3)). -2*a**2 Expand -b**5 + 0*b**5 - b**5 - 2*b**5 + b**4 - b**4 + (-b + b + b**3)*(-3*b - b**2 + 3*b) + 7*b**5 + 13*b - 13*b. 2*b**5 Expand (0*k - 6*k + 2*k)*(-3 - 2 - 2)*(-k + 6*k - 3*k). 56*k**2 Expand -5*l**3 + 3*l**3 + 5*l**3 + (-1 + 1 + 1)*(3*l + l**3 - 3*l). 4*l**3 Expand (-16*j**2 - 2*j**3 + 2*j**3 + j**3)*(2 - 4 + 0)*(-2*j + 3*j + j). -4*j**4 + 64*j**3 Expand 15*q**2 - 7*q**2 - 12*q**2 + (4 - 4 - 2)*(q**2 + 2*q**2 - 4*q**2) + (q - 4*q + 0*q)*(-2*q + 2*q - 2*q) + 3*q**2 + 2*q**2 - 3*q**2 - 2*q + 2*q**2 + 2*q. 8*q**2 Expand -g**4 - g**2 + 3*g**2 - g**2 + g**4 + g - g - 4*g**4 + 3*g**4 - 2*g**4 + (0*g**2 + g**2 - 2*g**2)*(5 + g**2 - 5). -4*g**4 + g**2 Expand (0 - 1 - 1)*(5751 + 56*y - 5751 + 449*y). -1010*y Expand (-2 + 2 - 2*z)*(0 - 1 - 3 + (2 - 4 + 1)*(3 - 4 + 0)). 6*z Expand (-2 - 1 + 5)*(1 - 5 + 5)*(-2*q**3 + 14*q**3 - 2*q**3). 20*q**3 Expand (-1 + 3*v**2 + 1)*(v**2 - 2*v**2 + 0*v**2) + (5*v**3 + v**3 - 2*v**3)*(0 + v + 0). v**4 Expand (3*c - 2*c + 0*c)*(-3 - c**3 + 3)*(3*c + 5 - 5). -3*c**5 Expand 2*o**3 - 2*o**3 - 2*o**3 + (0*o**2 + 4*o**2 + 0*o**2)*(3*o - o - o). 2*o**3 Expand (-4*m**3 - 9 + 9)*(0 + 0 - 2*m**2 + (11 - 11 + 2*m)*(-5*m + 5*m - m)). 16*m**5 Expand ((3 + 2*q - 3)*(-1 + 1 + 2) - 3*q + 2*q - 2*q)*(-4 - 9 - 3). -16*q Expand -29 + 30 - 6*p + 0*p + (1 + 1 - 1)*(2*p + 2*p - 6*p). -8*p + 1 Expand (-7*d**3 - 1 + 1 + (-3*d**2 + d**2 + 4*d**2)*(d + d - 3*d))*(d**2 + 0 + 0). -9*d**5 Expand (t - 2*t**3 - t)*(2*t + t + 0*t) + (-3*t**3 + 3*t**3 - 2*t**3)*(2*t + 2 - 2) - t**2 - 2*t**4 + t**2. -12*t**4 Expand (-2 + 3 + 1)*(-b**5 - b**4 + b**4) - 2*b**5 - 37 - 2*b**5 + 34. -6*b**5 - 3 Expand (3*g**3 + 3*g**3 - 3*g**3)*(-4 + 5 + 1) + 13*g**3 - 5*g**3 - 7*g**3 + 16*g**3. 23*g**3 Expand -2*s**4 - s**4 + 11*s**4 + (-2*s**2 - 3*s**2 + 4*s**2)*(4*s**2 + 0*s**2 - 3*s**2) + (-2*s**3 - 2*s**3 + 5*s**3)*(0*s + 2*s + 0*s). 9*s**4 Expand (-4 + 1 + 5)*(h**2 + 2*h - 2*h) + (-h + 2*h + h)*(-22*h - 6 + 4 + 0). -42*h**2 - 4*h Expand -73*q - 69*q + 162*q + (2*q + 2 - 2)*(3 - 2 - 2) - 2*q + 3 - 3 - 2 + q + 2 + 2*q + 0 + 0. 19*q Expand (-14 + 10 + a + 6*a)*(2 - 2 + a**2) + 4*a**3 - a**3 - 2*a**3. 8*a**3 - 4*a**2 Expand (r + 3 - 3)*(-4 + 4 + r) + 3*r**2 + 3*r**2 - r**
{ "pile_set_name": "DM Mathematics" }
8*v**2 - 6. What is n*t(y) - 3*p(y)? 2*y**3 + 2 Let d(p) = p**2. Let w(c) = 6*c**2. Give -2*d(u) + w(u). 4*u**2 Let y(g) = g. Let k(l) = -l**3 + 8*l**2 - 9*l + 6. Let c be k(6). Let r(d) = -2*d + c - 24 + 3*d. What is -2*r(b) + y(b)? -b Let y(h) = -6*h**2 - 4. Let u(n) = 25*n**2 + 15. Give 4*u(z) + 15*y(z). 10*z**2 Let o(u) = u + 3. Let x(k) = 2*k + 5. Determine 7*o(r) - 4*x(r). -r + 1 Let o(j) = j**2 + 3*j - 8. Let q(a) = -a**2 - 4*a + 8. What is 4*o(z) + 3*q(z)? z**2 - 8 Let l(w) = w - 3. Let d(b) = -4*b + 9. Calculate -2*d(v) - 7*l(v). v + 3 Let q(u) = u**2 + 4*u - 9. Let f(m) = -5*m**2 - 13. Let y(z) = 11*z**2 + z + 26. Let r(v) = -13*f(v) - 6*y(v). Calculate 7*q(x) + 5*r(x). 2*x**2 - 2*x + 2 Let q(f) = -f + 19 - 38 + 18. Let v(s) = 2*s**2 + 16*s + 16. Calculate -48*q(t) - 3*v(t). -6*t**2 Let b(x) = -x**2 + 17*x + 34. Let y be b(19). Let g(l) = 5*l - 6. Let t(c) = 14*c - 17. Calculate y*t(s) + 11*g(s). -s + 2 Let s(c) = 2*c - 14. Let w(y) = y - 5. Determine -5*s(m) + 14*w(m). 4*m Let h(m) = -m + 9. Let b(s) = s - 9. Calculate 4*b(v) + 5*h(v). -v + 9 Suppose -15 + 35 = 5*j. Suppose -12 + 5 = 3*c - 2*u, -5*c - 15 = -5*u. Let i(x) = -x + 1. Let p(a) = -5*a + 2. Determine c*p(h) + j*i(h). h + 2 Let x(u) = 3*u**2 + u + 5. Let t(q) = 2*q**2 + q + 3. Suppose 9 = -6*z - 9. Determine z*x(b) + 5*t(b). b**2 + 2*b Let y(j) = -4*j - j - j. Let k(u) = -u. Calculate -34*k(r) + 6*y(r). -2*r Let o(p) = -p. Let i be (-5)/(-2) + (-3)/6. Let k(y) = 2*y**i + 4 - 3 + 0 - 2*y + y**3. What is -k(w) + 2*o(w)? -w**3 - 2*w**2 - 1 Let y(a) = 8*a + 5. Let q(x) be the second derivative of x**4/24 + x**3/6 + 4*x**2 + 4*x. Let o(w) be the first derivative of q(w). Determine 5*o(g) - y(g). -3*g Let i(f) = -5*f**2 + 8*f - 2. Suppose -3*g + 7 = 5*l, 2*g + 2*g = -5*l + 11. Let c be (6 + 0 + -1)/l. Let w(k) = 4*k**2 - 7*k + 2. Give c*i(v) - 6*w(v). v**2 + 2*v - 2 Let j(b) = -b**2 + 9. Suppose 12 - 2 = 5*q. Let a(c) be the first derivative of 9*c - 1. Let s(u) = -5. Let f(m) = 6*a(m) + 11*s(m). Give q*j(r) + 18*f(r). -2*r**2 Suppose -a = -2*a + 5*c + 22, -5*c - 20 = 0. Suppose a - 5 = 3*x. Let d(k) = -7*k**3 + 8*k**2. Let i(l) = -l**3 + l**2. Give x*d(h) + 6*i(h). h**3 - 2*h**2 Suppose z + f = 6*z, 4*z + 3*f + 19 = 0. Let v(l) = l**3 + 5*l**2 + 6*l + 5. Let s be v(-4). Let r(b) = -1. Let i(t) = -2*t + 1. Give s*r(q) + z*i(q). 2*q + 2 Let n(v) = -5*v**3 - 2*v**2 - 2*v. Suppose 12*y = 8 - 32. Let u(x) = -21*x**3 - 9*x**2 - 9*x. Determine y*u(k) + 9*n(k). -3*k**3 Let h(u) = 4*u**3 + 2*u**2 - 6*u + 5. Let o(j) = -5*j**3 - 2*j**2 + 6*j - 6. Determine -6*h(l) - 5*o(l). l**3 - 2*l**2 + 6*l Let s be 4/12*27/6*-4. Let x(h) = 8*h - 6. Let n(r) = -7*r + 5. Determine s*n(i) - 5*x(i). 2*i Let f(v) = v + 1. Let p be (-4)/3 + 5/15. Let q(s) = -6*s - 9. Determine p*q(b) - 9*f(b). -3*b Let l(j) = -468 - 2*j**2 - 6*j**2 + 462 - 6*j - j**3. Let f(k) = k**3 + 7*k**2 + 5*k + 5. Determine -6*f(o) - 5*l(o). -o**3 - 2*o**2 Let m(r) = -90*r**2 - 27*r + 27. Let v(s) = 13*s**2 + 4*s - 4. Determine -4*m(x) - 27*v(x). 9*x**2 Let q(x) = -2*x + 7. Let m(t) = 2*t - 6. Suppose 6 - 74 = -4*l. Suppose 2*k = -f + 1, 2*f - 3*k + 2 = -l. Let s be (1 + 1)/(2/f). Give s*m(g) - 4*q(g). -2*g + 2 Let z(r) = -4*r. Let n(x) = x. Let s be ((-6)/(-8))/(4/16). Let a be 203/(-7) - (0 + s). Let m be 4/(-10) + a/20. Give m*n(o) - z(o). 2*o Let f(d) = 2*d + 25. Let z(n) = n + 8. Calculate -3*f(x) + 8*z(x). 2*x - 11 Let z(k) = -k**3 - 2*k**2 + k. Let y be z(-3). Let m(f) = -f**2 + f - 1. Let x(n) = -4*n**2 + 7*n - 6. What is y*m(p) - x(p)? -2*p**2 - p Let z(k) = 10*k**2 + 4*k. Let q(i) = 19*i**2 + 7*i - 1. Calculate 4*q(l) - 7*z(l). 6*l**2 - 4 Let f(a) = -a**3 + 2*a**2 - 10. Let p(n) = -2*n**3 + 3*n**2 - 19. Calculate 7*f(o) - 4*p(o). o**3 + 2*o**2 + 6 Let p(q) = -2*q**2 + q + 1. Suppose -2*n + 0*i = -i + 5, 2*n = -3*i - 9. Let l(g) = -5*g**2 + 3*g + 2. Calculate n*l(k) + 7*p(k). k**2 - 2*k + 1 Let h(f) = -3 - 4 + 4 + 2. Let k(m) = -m + 7. Calculate -28*h(y) - 4*k(y). 4*y Let h(p) = -17*p**3 + p**2 + 7*p. Let w(x) = 17*x**3 - x**2 - 6*x. Determine -6*h(s) - 7*w(s). -17*s**3 + s**2 Let v(b) be the third derivative of -b**5/30 - b**4/4 - 21*b**2. Let a(h) = -2*h**2 - 5*h. Calculate -5*a(f) + 4*v(f). 2*f**2 + f Let c(m) = -33*m**2 - 2*m + 2. Let o(s) = -560*s**2 - 35*s + 35. Give 70*c(p) - 4*o(p). -70*p**2 Let n(j) = -6*j + 16. Let v(m) = -m**2 - 5*m + 33. Let b be v(-9). Let o(c) = -c + 3. Give b*n(r) + 16*o(r). 2*r Let x(n) = -2*n - 6. Let t(o) be the third derivative of -o**4/24 - o**3/3 - 27*o**2. Give 11*t(g) - 4*x(g). -3*g + 2 Let g(d) = -d - 8. Let n be g(-7). Let r(y) be the first derivative of -y + 3. Let c(h) = -2*h. Determine n*c(w) + 2*r(w). 2*w - 2 Let p(z) = 7*z**3 - 5*z**2 + z + 7. Let o(a) = 6*a**2 + a - 8*a**3 - 11 + 3 - 2*a. Calculate -5*o(x) - 6*p(x). -2*x**3 - x - 2 Let j(a) = a - 3. Let g be j(2). Let s(f) = -5*f**3 + 3*f. Let d(w) = -w**3 + w. Determine g*s(x) + 3*d(x). 2*x**3 Let t(o) = -7*o**3 - 3*o**2 + 5*o + 6. Let l be (-9 - 1)*8/16. Let u(c) = -8*c**3 - 4*c**2 + 6*c + 7. Calculate l*u(w) + 6*t(w). -2*w**3 + 2*w**2 + 1 Let j = 73 - 72. Let w(y) be the first derivative of y**2/2 + y + 2. Let d(o) = -3*o**2 + 4*o + 4. What is j*d(p) - 4*w(p)? -3*p**2 Suppose 2*s - 11 = -1. Let u(t) = 4*t. Let f(n) = n. Calculate s*f(b) - u(b). b Let q(w) = -w + 1. Let k(m) = m**2 + 7*m - 6. Determine k(j) + 6*q(j). j**2 + j Let j = 46 - 30. Let p(z) = 26*z. Let n(c) be the second derivative of 5*c**3/6 + c. Calculate j*n(u) - 3*p(u). 2*u Let n(f) = -f. Let y(a) = 2*a - 4. Let w(m) = 5*m - 9. Let l(k) = -3*w(k) + 7*y(k). Give l(r) - 2*n(r). r - 1 Let t(l) = -3*l + 24. Let g(h) = 4*h - 22. Determine 4*g(x) + 5*t(x). x + 32 Let r(z) = 2*z**2 + 2*z + 8. Let w(c) = -5*c - 4. Let y be w(-2). Let q(o) = -2*o**2 - 2*o - 7. What is y*q(p) + 5*r(p)? -2*p**2 - 2*p - 2 Let t(r) = 4 - 4*r + 2*r + 3*r + 6*r. Let g = -48 + 39. Let b(z) = -3*z - 2. What is g*b(s) - 4*t(s)? -s + 2 Let a(t) = 3 + 4*t - t - 2. Let b(i) = 2*i - 6. Let r be b(4). Suppose 3*w - 4 = r. Let j(g) = -4*g - 2. Calculate w*j(f) + 3*a(f). f - 1 Let j(l) = -l - 1. Let h be 1*4/((-4)/(-9)). Let r = -10 + h. Let o(a) be the first derivative of -3*a**2/2 - 2*a - 1. Calculate r*j(b) + o(b). -2*b - 1 Suppose s = k + 10, -8*k + 3*s - 43 = -4*k. Let p(t) = 8*t + 2. Let o(a) = -4*a - 1. Determine k*o(n) - 6*p(n). 4*n + 1 Let b(z) = 2*z**2 + z + 4. Let y(o) = -o. Let p be y(1). Let a(k) = k**2 + k + 1. What is p*b(m) + a(m)? -m**2 - 3 Let t(h) = h. Suppose 3*o = 5*o + 10. Let z(w) = -12*w - 8. Let v(u) = 23*u + 15. Let j(p) = -6*v(p) - 11*z(p). Determine o*t(r) - j(r). r + 2 Let o(w) = 3*w**3 - 5*w**2 + 5*w. Let x(n) = -n**3 + 2*n**2 - 2*n. Suppose -75 = -0*u - 5*u. Calculate u*x(j) + 6*o(j). 3*j**3 Let b(v) be the third derivative of -v**4/24 - v**3/3 - v**2. Let g be b(7). Let l = 1 - 3. Let j(m) = 2*m + 1. Let h(c) = -8*c - 5. What is g*j(q) + l*h(q)? -2*q + 1 Let o(b) = 3*b. Let z(h) = -h**2 + 15*h + 2. Let q be z(15). Let f(k) = k. What is q*f(c) - o(c)? -c Let o(u) = 14*u**3 - 12*u - 10. Let d(v) = v**3 - v - 1. Give -12*d(x) + o(x). 2*x**3 + 2 Let v(g) = 2*g**2 - 3*g. Let u(h) = h**2 - 2*h. Suppose 10 = 3*r - 2. Suppose -i - r = i. Let k be 39/12 - i/(-8). Calculate k*u(c) - 2*v(c). -c**2 Let a(g) = 6*g**3 + 4*g**2 + 4. Let r(f) be the first derivative of 7*f**4/4 + 5*f**3/3 + 5*f + 9. Give 5*a(j) - 4*r(j). 2*j**3 Let k(w) = 5*w. Let v(s) = 24*s. Let m(z) = z**2 + 7*z + 7. Suppose 0 = l + 4*n - 5 + 2, n = 2*l + 12. Let f be m(l). Give f*v(u) + 14*k(u). -2*u Let c(z) be the first derivative of 1 - z**3 + 0*z**2 + 1/2*z**4 + 0*z. Let s(k) = -2*k**3 + 4*k**2. Let i be 11 + -8 + (-7 - (-1 - -1)). Give i*c(v) - 3*s(v). -2*v**3 Let n(m) be the second derivative of -m**5/10 - m**4/6 - 3*m**2 + m. Let v(c) = 4*c**2 - 13 - 3*c**3 + 26 + 7*c**3. Give 9*n(h) + 4*v(h). -2*h**3 - 2*h**2 - 2 Let p(k) = 26*k**2 - 3*k. Let b(a) = -a**2 + a. Calculate -3*b(h) - p(h). -23*h**2 Let z(d) = -3*d - 4. Let u(i) = 4*i + 3. Calculate 2*u(m) + 3*z(m). -m - 6 Let q(k) = k - 1. Let a(s) = 6*s + 17. Calculate -a(j) + 5*q(j). -j - 22 Let n(p) = -p - 2. Let b = -2 + 3. Let s(o) = 2*o + 3. Let r be s(0). Let w(i) = 4*i - r*i - 2*i. What is b*n(f) - 2*w(f)? f - 2 Let y(m) = 2*m - 20. Let o be y(13).
{ "pile_set_name": "DM Mathematics" }
+ 1. Is i(g) a multiple of 16? True Suppose 0 = 7*q + 16 - 37. Is q even? False Suppose 0 = 4*i - 51 - 21. Suppose i = 3*s - s. Does 9 divide s? True Suppose -2*h - 5*f + 176 = 0, -3*h - f + 255 = 2*f. Suppose -27 + h = 2*s. Is 16 a factor of s? False Let x be (6/4)/(1/2). Let a be (2/(-4))/(x/(-186)). Let t = -16 + a. Is 4 a factor of t? False Suppose 7*m + 70 = 2*m. Suppose -x = 4*b - 20, -2*x + x = 2*b - 26. Let v = x + m. Does 11 divide v? False Is 7 a factor of 3/18 + (-394)/(-12)? False Suppose 3*u + 2*f = 142, f = -0 - 4. Is 10 a factor of u? True Suppose -3*z = -0*z - 216. Suppose -4*w + z = 4*m, 0*m = -2*m + 4*w + 12. Is 6 a factor of m? False Suppose -5*a + 8 = -1112. Is 22 a factor of a? False Let n be 0 - 3 - 5*-1. Let b(z) = -z**2 + 3*z + 2. Is b(n) a multiple of 4? True Suppose -2*w - 41 = -3*w - 2*q, -4*q - 247 = -5*w. Let m = w + 9. Does 28 divide m? True Suppose -3 - 1 = -2*w. Suppose w*j - 4*u = 7*j - 335, 0 = 2*j + u - 131. Suppose i + 4*g = -g - 9, -5*i + j = -2*g. Does 4 divide i? False Suppose 5*q + 13 = 2*m, 0 = -0*m - 2*m + 8. Let b = 3 + q. Suppose -b = c - 0*c, 0 = -2*o + 2*c + 36. Is 8 a factor of o? True Suppose 3*p = r + r + 148, 0 = 4*p + 5*r - 159. Let v = p - 18. Does 14 divide v? True Let s(o) = o**2 - 12*o - 19. Let m be s(14). Suppose 2*t = -t + 9. Suppose -33 = -t*d + m. Does 7 divide d? True Suppose 0 = -4*r + 11 + 1. Suppose 5*t - 4 - 41 = 0. Let d = t - r. Is d a multiple of 3? True Suppose 9 = -3*q, -3*d = 3*q - 12 + 3. Does 6 divide d? True Suppose -3*v + 32 - 5 = 0. Does 10 divide (6/v)/((-1)/(-15))? True Let q = -6 - -17. Is q a multiple of 8? False Suppose -2*i + 4 = -0*i. Suppose 2*a + i = 8. Suppose 7*x + 3*p = a*x + 142, 5*p - 101 = -3*x. Is x a multiple of 18? False Suppose 4*c + 2*l = -l + 2, -3*c - 3*l = 0. Let x be 0 + c + (-9 - -2). Is (x*2)/(4/(-8)) a multiple of 9? False Suppose -2*j = -86 - 118. Suppose 0 = -5*t - 42 + j. Is 6 a factor of t? True Suppose -3 = -5*u + 2*w, -5*u = -u - 4*w. Let a be u/(-4) + (-105)/(-20). Is (-627)/(-15) - (-1)/a a multiple of 21? True Let h(y) = 4*y - 5. Let f(i) = i**3 + 3*i**2 - 4*i + 4. Let c be f(-4). Is 8 a factor of h(c)? False Let u(o) = 4*o**2 - 2*o. Suppose d + 12 = 3*w, -w + 9 = -0*w - 2*d. Is u(w) a multiple of 15? True Suppose h + 2*b - 2 = -1, -4*h = -5*b - 17. Suppose h*c - 1 = 47. Does 8 divide c? True Suppose -5*i + i + 228 = 0. Suppose 2*j - b - i = -0*b, -113 = -4*j + b. Is j a multiple of 11? False Suppose 0 = 4*k - i - 276, -k + 3*i + 0*i + 69 = 0. Is k a multiple of 32? False Let d be 368/12 - (-6)/(-9). Is 9 a factor of ((-2)/2 - 2) + d? True Let v(d) = -11*d + 7*d - 8 + 6*d. Let w be v(7). Suppose p + 108 - w = 5*z, 5*p = -z + 36. Does 21 divide z? True Let f(p) = p**3 + p**2 + 72. Does 12 divide f(0)? True Let u = 5 + -13. Let h(i) be the third derivative of -i**4/12 - 11*i**3/6 + 2*i**2. Is h(u) a multiple of 5? True Let i be 17/3 + 2/6. Suppose 0 + i = s. Let g = 11 - s. Does 4 divide g? False Let n(w) be the third derivative of w**5/60 - w**4/12 + 2*w**3/3 - 4*w**2. Does 19 divide n(5)? True Suppose 0 = -3*t + 4*i + 28, -24 = -0*t - t + 5*i. Suppose -25 = 5*m, -24 - 104 = -2*d + t*m. Is 18 a factor of d? True Is 17 a factor of 4/(-2) + (-5 - (-51 - 7))? True Suppose 3*t - 7 - 5 = 0. Suppose 0 = -2*p + 12 + t. Does 8 divide p? True Let k = 1 - 1. Suppose -i - 4*i - 3 = -q, 4*q + 5*i - 37 = k. Is 8 a factor of q? True Let t(u) = u**2 - u + 6. Suppose -2*i = i. Is t(i) a multiple of 3? True Let u be (-4)/(-1)*4/2. Suppose -3*k - 3*m + 21 = -0*m, 0 = -k - 4*m - u. Is 12 a factor of k? True Does 36 divide (-231)/(-4) + (-12)/(-48)? False Suppose -9*x + 535 = -4*x. Does 25 divide x? False Let d(x) = 18*x - 10. Is d(5) a multiple of 26? False Let b(y) = -y**3 + 2*y + 57. Is 16 a factor of b(0)? False Does 15 divide 1 + -1 - (-13 - 107)? True Suppose -5*k + 22 + 18 = 5*q, 2*k - 24 = -3*q. Suppose q*m = 9*m - 54. Is 18 a factor of m? True Suppose 3*h + f = 195 + 232, 0 = -4*f - 20. Does 15 divide h? False Let j(g) = -g + 8. Let z be j(6). Let t = 6 - z. Suppose t*n = -4*i + 68, -6 = -n - 1. Is i a multiple of 12? True Let m = 421 + -258. Is m a multiple of 13? False Suppose -9*b = -6*b. Suppose -3*j + 2*j + 67 = b. Is j a multiple of 15? False Let d(a) = 4*a + 6. Let n(o) = 6*o**2 + o. Let b be n(1). Does 9 divide d(b)? False Suppose -3*r - 31 = -n, -3*n + 71 = 5*r - 3*r. Suppose -2*t - 4*x + 62 = 0, 0*x - n = -5*x. Is t a multiple of 9? False Suppose -2*p - 2*p + 20 = 0. Suppose 2340 = -b + p*b. Does 19 divide 2/8 - b/(-12)? False Let r = 6 + -4. Suppose 8 = -r*q + 34. Does 5 divide q? False Suppose 2*b = -5*l + 24, l + 12 = 6*l - 4*b. Does 4 divide l? True Suppose 2*r - 33 = 37. Does 16 divide r? False Let u = 10 - 6. Suppose 2*y - 10 = -u*p + 8, -p - 3 = -y. Is 19 a factor of (55/(-15))/(p/(-12))? False Suppose 4*v = v - u - 39, 0 = -4*v - 3*u - 47. Is ((-48)/(-56))/((-1)/v) a multiple of 4? True Suppose -4*c + 212 = 4*t, -2*t = 3*c + 3*t - 163. Is c a multiple of 17? True Suppose -5*p + 59 = f, -3*p + 4*f + 15 = -25. Does 5 divide p? False Suppose 2*k - 3*k = -2. Suppose -k*z + 5*z = 0. Suppose 3*q + 3*s = 63, q - 41 = -z*s + 3*s. Is q a multiple of 16? False Let f(p) = -2*p - 4. Suppose -2*i = 0, i + 0*i = -3*z - 18. Is 6 a factor of f(z)? False Suppose 3*c = -2*c. Suppose -f + c*f + o = -17, 2*o - 29 = -f. Does 21 divide f? True Let f = -19 - -35. Does 8 divide f? True Suppose 0 = -2*y + 19 - 57. Is 0/2 + (1 - y) a multiple of 13? False Does 21 divide ((-42)/10)/(5/(-25))? True Let m(r) = 6*r - 5. Let v be m(13). Let x = v - 36. Is 12 a factor of x? False Suppose n + 3*r - 22 = 0, -2*n = -5*n + r + 16. Suppose 5*y = 2*m - 9, -3*m - 4*y + n*y = -9. Suppose -2*b = m*b - 32. Does 4 divide b? True Let u(y) = -5*y**3 - 8*y**2 + y**2 + 8 + 6*y**3 - 2*y. Let s be u(7). Let t = s - -18. Is 4 a factor of t? True Suppose -3*x + 4*x - 124 = 0. Is 31 a factor of x? True Suppose 12*p + 673 - 1753 = 0. Is p a multiple of 11? False Suppose 2*p - 4*h = 824, -2*p + 0*p + 5*h = -829. Is 12 a factor of p? False Suppose -3*h + 32 = -h - 2*g, 0 = -5*h - 5*g + 90. Is 4 a factor of h? False Let t = 12 - -8. Suppose b + 5*h + 7 = 0, -3*b + t = b + 4*h. Let l(z) = -z**3 + 8*z**2 + 2*z - 3. Is 9 a factor of l(b)? False Suppose 3*x - 35 = -v, 2*v + 2*v - 23 = -3*x. Is x a multiple of 5? False Let p(s) = 10*s**2 + s + 4. Let n be p(-4). Suppose 6*g = g + n. Is 12 a factor of g? False Let k = -37 - -86. Let v = k + -5. Does 15 divide v? False Let d(s) = 9*s + 1. Let m be d(-4). Let i = 7 - m. Is i a multiple of 14? True Let q(v) = -v**3 + 4*v**2 - 2*v + 2. Let r be q(3). Suppose -5*k + t = -20, -2 = k + r*t - 6. Is k even? True Let x be (-8)/12 + (-4)/(-6). Let r be x + (2 + -5 - 5). Does 6 divide -4*1/r*34? False Let k(l) = l**3 + 8*l**2 - l - 2. Is k(-7) a multiple of 18? True Let m(b) = -b**3 - 23*b**2 - 52*b - 12. Is m(-21) a multiple of 33? True Let x(v) = v**3 + 3*v**2 - 8*v + 2. Is 8 a factor of x(3)? True Let z(q) = -17*q**2 - 3*q. Let l be z(-3). Let i = l + 203. Suppose 0 = s + 5*v - 14, 4*s = -5*v + i + 57. Does 16 divide s? False Suppose -10*g = -14*g + 336. Is g a multiple of 28? True Is (54/(-12))/(3/(-48)) a multiple of 26? False Does 32 divide 1897/49 - 4/(-14)? False Let k(c) = -15*c. Let v be k(-1). Does 19 divide 55/v*(0 - -9)? False Suppose 4*w = 3*n + 9*w - 621, -2*n + 392 = -4*w. Is 43 a factor of n? False Suppose 5*h + 2 = -d, -2*h + 5*d + 10 = 3*h. Let l = 6 + h. Is l a multiple of 3? True Let h be ((-6)/(-1) + -1)/(-1). Let i(n) = 2*n + 2. Let r be i(h). Is 2/(-8) + (-298)/r a multiple of 14? False Let i(r) = -12*r**3 + 2*r**2 + 3*r + 1. Let y be i(-2). Suppose -7*z + y = -181. Is z a multiple of 20? True Suppose -322 = -3*r - 2*d, -113 = -5*r + 4*r + 5*d. Suppose 0*b = y - b + 62, 2*b = -2*y - r. Let s = -20 - y. Does 19 divide s? True Suppose -4*f + 441 = 57. Is 32 a factor of f? True Suppose -v + 3*f = -71 - 54, f = -5. Is 22 a factor of v? True Let x be (8/(-10))/(2/(-195)). Let s = -38 + x. Is 17 a factor of s? False Let o be 0 + 7 + 18/(-6). Suppose 0 = -o*l + 6*l - 8. Does 2 divide l? True Let k(p) = -3*p**3 - p**2 + 3*p + 2. Let l(v) = v**3 - 2*v**2 - 2*v - 1. Let x be (4/(-2))/(-2) - 2. Let m be l(x). Does 8 divide k(m)? Tr
{ "pile_set_name": "DM Mathematics" }
- 16. Suppose l*g - g - 120 = 0. Let f be 6/(-27) - g/(-99). What is the closest to 2 in -4, f, -1/3? f Let m = 104 - 103.5. Which is the nearest to -0.1? (a) -2 (b) m (c) 0.4 c Let h = 0.27 + -1.77. Let l = 4.5 + h. Let t = 0.5 - 0.9. Which is the nearest to l? (a) t (b) -0.1 (c) 0.3 c Let d(f) = 5*f**2 + f + 1. Let g be d(5). Let l = 2753/21 - g. Let q = 0.7 - -0.3. What is the closest to -1 in 0.4, l, q? l Let h = -0.9 - -0.3. Let n = -0.2 - h. What is the nearest to -2 in -1, 4, n? -1 Let r = -6 - -5.6. Which is the closest to -0.6? (a) r (b) 2/5 (c) -5 a Suppose -28*s = -26*s + 2. What is the closest to s in -4, -13, 5? -4 Let f(q) = -q**3 - 3*q**2 + 5*q + 2. Let w be f(-4). Let s be w/(-4) + (-4)/8. Suppose 0*d - d = s. What is the closest to d in -4, 4/7, 2/3? 4/7 Let j = 25.7 - 4.7. Let q = 21 - j. What is the closest to -0.2 in q, -0.3, -4? -0.3 Let v = -2839 + 53923/19. Let q = v + 69/133. Which is the closest to -2? (a) q (b) 5/3 (c) -3/8 a Let v be 3/2 - (-381)/(-256). Let w = v - -79351/768. Let l = -102 + w. Which is the closest to -0.1? (a) 0 (b) -0.4 (c) l a Suppose -2 = -n + q, 0 = 5*q + 5. Let i be (-8)/(-10)*10/4. Which is the nearest to n? (a) -3 (b) 3/2 (c) i b Let r = 15 + -16.4. Let f = -4.4 - r. Suppose -9*u = -4*u - 4*q - 21, 5*q = -2*u - 18. What is the closest to 1 in u, -1, f? u Let h = -4.9 - -5. Which is the nearest to h? (a) 0 (b) -2 (c) -0.3 a Let q(g) = -1. Let y(x) = x + 6. Let f(k) = 5*q(k) + y(k). Let m be f(-6). Let z = -7 - -9. What is the nearest to -2/7 in m, 4, z? z Let r be 15/(-10)*(-6)/(-9). What is the closest to 2/9 in 0, 2, r? 0 Let f = 4 - 14. Let n = -7 - f. Which is the nearest to -1/4? (a) n (b) -1 (c) 1 b Let v be (24/9)/((-26)/39). Suppose -u + 2*u = 0. Let f = -3 - -3. What is the nearest to f in u, v, 2/3? u Let v = -4.1 - -4. Let s = -0.2 - v. Let q = -3 - -3.1. Which is the nearest to q? (a) -0.3 (b) s (c) 5 b Let y = 0.02 + 0.18. Let v = 1.8 + y. Which is the nearest to -1? (a) -1 (b) -0.2 (c) v a Let d(l) = -l. Let k be d(2). Let t = 6 + -8. What is the nearest to t in -1/8, -4, k? k Suppose 3*n + 5 = 20. Let i(o) = o**2 - 6*o + 1. Let x be i(7). Let d = x + -7. What is the nearest to d in n, 0, -1? 0 Let g = 67 - 67.98. Let o = g + -0.02. What is the nearest to o in 0.2, -0.5, 0.3? -0.5 Suppose -2*n = -0 - 4. Let i be 12/91 - (-4)/(-14). What is the closest to n in i, -2/7, -2/3? i Let o = 11 - 8. Which is the closest to 0? (a) 0.01 (b) o (c) 5 a Let h = -2.4 + -0.6. Let i = 0.43 + -2.43. Which is the nearest to i? (a) -5 (b) -0.1 (c) h c Let y = 0.0136 - 2.9436. Let g = y - 0.07. Let p = 1.942 - -0.058. What is the closest to 0 in g, p, -2/3? -2/3 Let g be (-56)/(-42)*3/(-26). Which is the nearest to -10? (a) g (b) 0.2 (c) -3 c Let u = 0.04 - -0.36. Let w = -6 + 5.8. Let t = w - 0.8. Which is the closest to t? (a) -5 (b) -1/6 (c) u b Let l = 1 - -1. Let w = 38 - 33. Let g be 2/(28/(-18)) - -1. Which is the closest to -1? (a) g (b) w (c) l a Let c = -3 - -2.94. Let z = -1 + 0.96. Let g = z + c. What is the closest to g in -1, -0.3, -3/5? -0.3 Let h = 0.68 - 1.17. Let p = 0.09 + h. What is the nearest to 0.2 in p, 0.1, -0.2? 0.1 Let l = -0.09 - 0.01. Let d be (1/3)/((-21)/9). What is the closest to 0 in l, d, -3/4? l Let r = 13 + -8. Let f = 5 - r. Which is the closest to f? (a) -1 (b) 0.2 (c) -5 b Suppose -3*d + 3*s + 23 = -4, 14 = 2*d + 2*s. Suppose 4*g - 28 + d = 0. Which is the closest to 1? (a) 0.4 (b) -1/4 (c) g a Suppose 2 = 5*j - t + 31, -3*j - 4*t + 1 = 0. Let y = 6 + j. Let g(x) = -x**2 + 5. Let w be g(0). Which is the closest to y? (a) w (b) -1/8 (c) 0.4 c Let o = -14.5 - -14.6. Let g = 3 - -1. Which is the nearest to o? (a) g (b) 0.5 (c) 1 b Let h = 11 - 9. Let r = 0 + 1. Which is the closest to r? (a) 2/25 (b) h (c) -0.3 a Let c = -2 + 3. Let u(p) = -p**3 + 8*p**2 - 2*p + 20. Let w be u(8). What is the nearest to 1 in w, 0.3, c? c Let h = -13.72 - 0.28. Let b = h + 18. Let n = -0.9 - 0.1. What is the nearest to n in b, 1, -4? 1 Let y = -7 - -9. What is the closest to 0 in -2/3, y, -2/9? -2/9 Let k = 0.096 - 5.096. What is the nearest to -0.02 in 2/15, -2, k? 2/15 Let a = -1/4 - 0. What is the nearest to a in 0.4, 9, -2? 0.4 Let d = -4 - -5. Let r = 10 + -6. Which is the closest to 1? (a) 5 (b) r (c) d c Let p = 0.51 + -0.31. Which is the closest to -1? (a) 0.5 (b) p (c) 3/4 b Let l = -38 - -37.8. Which is the closest to 0? (a) -7 (b) l (c) -5 b Let m = 0.43 - 0.03. What is the closest to 0.3 in 1/11, m, -4? m Let k = 0.008 - 6.008. Which is the closest to k? (a) 5 (b) -1/7 (c) 0.5 b Let d = -1 - 2. Let j = d + 3.05. Let y = j - -1.95. What is the closest to y in 1/9, 3, 1/2? 3 Let w = 0.4 + -0.5. Let k = 0.9 - w. Let n = k + -0.9. Which is the closest to 1/2? (a) -0.2 (b) -0.4 (c) n c Let v = -37/129 - 2/43. Let k = 2 - 3. Let d = -0.07 - 2.93. Which is the nearest to v? (a) -0.1 (b) k (c) d a Let k = 20 - 22. Which is the nearest to 0.1? (a) k (b) 5 (c) -4/7 c Let y = 0.1 - 0. Let h = 0.08 - -0.02. Let j = 0.12 + -0.62. Which is the closest to h? (a) -0.4 (b) j (c) y c Let f = 0.35 + -0.35. Let x = 0.9 - 5.9. Which is the closest to f? (a) 4 (b) x (c) -3 c Let z = -4 - 1. Suppose 5*c - 3*a = -2*a, 3*a - 19 = -4*c. Let y = -0.3 - -0.8. What is the closest to c in z, y, -0.2? y Let m = -9 + 8.2. Let s = 0.2 - m. Let i = 0.088 - 2.088. What is the closest to -2 in 2/23, i, s? i Let q = -3 - -2. Let c = -218 - -217.9. What is the closest to q in c, 0.2, 6/7? c Let m be 5/2*(-1)/(-5). Let t = -22 + 21. What is the nearest to t in -4, 4, m? m Let z = -0.35 - -0.75. Which is the nearest to 7/3? (a) -0.1 (b) z (c) 5 b Let q be 2/9 - (-8)/(-9). What is the closest to q in -1, -2/11, 3? -1 Let s = -3 - -2. Let m = 0 - s. Let c be ((-10)/(-25))/(12/(-10)). What is the nearest to -0.1 in c, 5, m? c Let z(w) = -w**3 - 6*w**2 - 1. Let r be z(-6). Let c = 3 + -8. What is the closest to r in 0.1, -2/3, c? -2/3 Suppose 4*p + 8 = h - 8, 2*p = -2*h + 42. Let i = -40 + h. Let d be i/12 + (-2 - -3). Which is the closest to d? (a) 4/7 (b) 5 (c) -4/7 c Let w(f) = -2*f**3 - 9*f**2 + 5*f - 3. Let v be w(-5). Which is the nearest to -14? (a) v (b) 0 (c) -5 c Let u = -4.2 + 4.6. Let b = 48 - 237/5. What is the nearest to b in -2, u, 3? u Let r = 1.03 - -0.27. Let x = -0.6 + r. Let c = 0.6 - x. What is the closest to c in 5, 1/7, -3? 1/7 Let g(d) = d**3 + 2*d**2 - d - 3. Let t be g(-3). Let f(u) = -u - 10. Let o be f(t). Which is the closest to o? (a) -2/5 (b) -1/3 (c) -0.5 c Let f be -1 - (2 - (-2 - 1)). Let g be 3/(1 + 11)*f. What is the closest to -0.1 in 1/5, -0.3, g? -0.3 Let i = 13 + -11. Let f be -5 + 4 - (1 + 3). What is the closest to i in -4, 0, f? 0 Let w = -1 - 2. Let l = 3 - 2. Let d = 0.12 - -4.88. Which is the closest to w? (a) d (b) -2 (c) l b Let w = 0.21 - 0.41. Which is the nearest to 0.1? (a) 0.3 (b) 0.05 (c) w b Let s = -9.3 - -11. Let w = -1.9 + s. What is the closest to w in 0.1, 2/17, 3? 0.1 Let n = 5 + -2. Which is the nearest to n? (a) 3 (b) 5 (c) -1 a Suppose 5*q - 5 = 2*u, -9 = -q + u + u. Which is the closest to q? (a) -0.1 (b) -0.4 (c) 3 b Let d = -24 - -71/3. Let c be (-114)/(-24) + (-1 - 3). What is the closest to d in 0, 0.1, c? 0 Suppose -22 = -3*l - 2*s + 6*s, -s + 5 = l. Suppose 5*k + 1 = l*k - 2*z, -4*k - 2*z - 26 = 0. Which is the closest to 0.1? (a) 2/5 (b) k (c) 2 a Let l = 9 + -15. Let y = l - -6.3. What is the closest to -0.1 in -1, -0.2, y? -0.2 Let v = 1.9 - 4.3. Let z = v - -2. Let k = 3 - 0. What is the nearest to 1 in 0, k, z? 0 Let s be 2/(-9) - (-364)/585. Let f = 1 + -2. Which is the closest to -0.1? (a) s (b) -0.3 (c) f b Let p = 60.3 - 54. Let v = p + -6. What is the nearest to -0.1 in v, -2/13, -2? -2/13 Suppose -3*l + 3 = -9. Suppose -2*q + l*q = -6. What is the closest to 0 in -5, -2/17, q? -2/17 Let q be 3 + (-33)/7 - -2. Let t be (2 - (-8)/(-2)) + 0. Let d be ((-1)/8)/(1/t). What is the nearest to 1/4 in q, -5, d? d Suppose 0 = -2*b + 3*b + 1. What is the nearest to -0.2 in 2, 2/15, b? 2/15 Let d = 0.3 + 0.2. Let j = 4 + -15. Let y = -15 - j. Which is the nearest to -2? (a) d (b) y (c) -1/5 c Let x = 77 + -67.8. Let n =
{ "pile_set_name": "DM Mathematics" }
d**(9/4)*d))*d)/d*d)/(d**(-11/4)*d))/(d*d*d**(-3)*d**8) assuming d is positive. 1 Simplify ((((r*((r**4*r)/r)/r)/r)/((r*r**(-4/11))/r))**(-32))**39 assuming r is positive. r**(-46176/11) Simplify (r*r*(r/r**(3/8))/r)/(r/r**(-12)*r)*(r/(r/(r*r*r**(-4/5))))/(r*r*r/(r/(r/(r*r/(r*r*r*r**1))))) assuming r is positive. r**(-647/40) Simplify ((m**(-1)/(m*(m*m**(-1/3)*m)/m))/((m**(-2/11)/m)/(m/(m**1*m))))**(-6/5) assuming m is positive. m**(164/55) Simplify d**(-1/5)*d/d**(-1/9)*(d*d**(-9))/(d/(d/(d*d*d**(-2/31)))) assuming d is positive. d**(-12589/1395) Simplify (b**(2/21))**(-20)*(b**(1/4))**(1/13) assuming b is positive. b**(-2059/1092) Simplify (((o/(o**(-1/2)/o))/o)**(6/19)*(o*o**(-6/5))/(o*o*o*o/(o/(o*((o*o**1/o)/o)/o))*o))**(5/11) assuming o is positive. o**(-354/209) Simplify (l/(l/(l**(-14)*l*l)))**(-5)/(l**(-2))**1 assuming l is positive. l**62 Simplify (b**(2/3)/b*b*b)**(-48)*(b**(-2/5))**(1/60) assuming b is positive. b**(-12001/150) Simplify (((l**(1/4))**(2/99))**(-17/4))**(2/25) assuming l is positive. l**(-17/9900) Simplify p/(p**(-2/41)/p*p)*p**(-3)*(p**(-2/7))**(-4/19) assuming p is positive. p**(-10312/5453) Simplify (z/(z**(-2)*z))**(-41)/(z**(-2))**42 assuming z is positive. z**2 Simplify ((o**(2/5))**(-1/7)*(o*o*o**(1/3))**44)**44 assuming o is positive. o**(474056/105) Simplify (y**4*y*y/((y/y**(1/4))/y*y)*(y**(1/4)/y*y)**(1/46))**(3/14) assuming y is positive. y**(2901/2576) Simplify (n/((n/(n/(n*n**(-3/17)*n)))/n)*n**(-1/10)/n)/(n**(1/5))**(-50) assuming n is positive. n**(1543/170) Simplify ((o/(o**(-2/9)/o))**16/((o*o**(-2)/o)/o)**(-9/7))**31 assuming o is positive. o**(61907/63) Simplify m*m**(-1/9)/m*m*m/m**13*m**(1/4)*m*m*m**(-17/2)/m assuming m is positive. m**(-661/36) Simplify (((w*w**(8/7)/w*w)/w)/(w*w**(4/13)*w*w))/(w**(2/3))**(-8/13) assuming w is positive. w**(-479/273) Simplify (h/(h**(-12)/h))/h**5*(h*h**(-2/5))**(8/11) assuming h is positive. h**(519/55) Simplify (((p*p/(p*p*(p**(1/4)*p)/p)*p)/p*p)/p)**(-12/5)/(p*(p*p**(1/9)*p)/p*p*p*((p*(p*(p**(-2/5)*p)/p)/p)/p)/p) assuming p is positive. p**(-19/9) Simplify (((k*k/k**7)/k)**(-2/49))**(-1/9) assuming k is positive. k**(-4/147) Simplify ((q**(20/7)/(q**(-4)*q))**(-20))**(2/11) assuming q is positive. q**(-1640/77) Simplify (d**18/d)/(d/((d/((d*(d*d*d**10)/d)/d)*d)/d))*d**2*d/(d*(d*d/(d*d/((d*d/d**(-21))/d))*d*d)/d*d) assuming d is positive. d**(-16) Simplify (n**(-1/3))**50*(n**(-16)/n)/n**3 assuming n is positive. n**(-110/3) Simplify b**(-8)/((b**(-5/4)/b)/b*b)*b**6/b**7 assuming b is positive. b**(-27/4) Simplify ((g**(2/9)*g)/g)**34*(g/(g*g**(-1/4)))**(6/7) assuming g is positive. g**(979/126) Simplify (l**(-2/3))**(1/6)*(l**(-1)*l)**(-2/31) assuming l is positive. l**(-1/9) Simplify f**3*f**(-19/4)*((f**(-12)*f)/f)**10 assuming f is positive. f**(-487/4) Simplify ((w/((w/(w**0/w*w*w*w))/w))**49/(w**(-1/3)/w*w**(3/7)))**13 assuming w is positive. w**(40378/21) Simplify z*z*z**9*z*z*z*z/(z*z**25)*(z/(z*z*z/((z*z*z**(-7))/z))*z)**46 assuming z is positive. z**(-333) Simplify (((a/(a/a**(-1/2)))/a)**(10/13)*a**1/a**(8/5))**(-12) assuming a is positive. a**(1368/65) Simplify (((m*m**(-1/3))/m)/(m*m**(-9/4)))/(m/m**6*(m/(m**(-2/9)*m))/m) assuming m is positive. m**(241/36) Simplify l**(-11)*(l/(l*l**(-10)*l*l))/l*l**(-4)*l**(-1/15) assuming l is positive. l**(-121/15) Simplify (p**(-7)/p)/p*(p**(-9)/p)/p*p**7/p*(p/(p**(-12)*p))/p assuming p is positive. p**(-3) Simplify (z*(z/z**(-9)*z)/z*z**(9/4))/(z**(-3/16)/z**(-13)) assuming z is positive. z**(7/16) Simplify (d**(2/13))**(-19)/(d*d**(-8/5)*d*d*d*d*d**(-4/5)*d) assuming d is positive. d**(-424/65) Simplify ((o**(2/7))**29*(o**(-2/9))**(-1/2))**5 assuming o is positive. o**(2645/63) Simplify ((n/(n**(-4)/n)*n*n**(-2/21)/n*n*n)**29)**(-7) assuming n is positive. n**(-4814/3) Simplify (h**20*h*h**(-1/6)/h)**(-33) assuming h is positive. h**(-1309/2) Simplify ((a*a/(a/(a*a*a**(-1/2)))*a**3)/(a**(-4/3)/(a**(-6/7)*a)))**(2/41) assuming a is positive. a**(293/861) Simplify (i/(i*i**(-13)/i*i)*i/(i*i**(-1/14)))/(i**(-3))**(-7) assuming i is positive. i**(-111/14) Simplify (((t**(2/7))**48)**19)**(-2/17) assuming t is positive. t**(-3648/119) Simplify ((((z**5*z)/z)/z)/z)**(-13/2)*(z/(z**(-1/6)*z))/z**(-2/15) assuming z is positive. z**(-96/5) Simplify (u*u**(8/9)*u*u**(-2/33))/((u/(u/(u**(-4)*u*u)*u*u))/(u*u**(-2/77)*u)) assuming u is positive. u**(6100/693) Simplify ((l**(2/11)*l*(l**(2/25)*l)/l)**(-3/29))**26 assuming l is positive. l**(-27066/7975) Simplify (((v/v**(-9/5))/v)/(v/((v/v**(-1/8)*v)/v)))**(-13/2) assuming v is positive. v**(-1001/80) Simplify (i*i/(i/(i/(i*i/i**1))*i)*i*i*i/i**(-30))**(-5/3) assuming i is positive. i**(-55) Simplify (m**(2/9)/m*m)**(-3)/(m*m/(m/(m/((m/(m*m*(m*(m**15*m*m)/m*m)/m))/m*m)))*m**(2/23)) assuming m is positive. m**(-1432/69) Simplify (f**(-3/16)/f**(-4/13))**42 assuming f is positive. f**(525/104) Simplify (u/(u*u**(-3)/u))/u**(-16)*(u/((u*u**(2/9)/u)/u))**(-1/12) assuming u is positive. u**(536/27) Simplify ((u**2/u*u)/u*u**(-10))/(u*u**(-12)/u*u/u**(-12)) assuming u is positive. u**(-10) Simplify (j/j**(-7/2)*j**(-24))/((j*j/j**(2/19)*j)/j*j**(-1/2)) assuming j is positive. j**(-397/19) Simplify (l**(-1/46)/l**(-20))/((l**(-5)*l)/(l/l**(-2/63))) assuming l is positive. l**(72479/2898) Simplify (((d*d/(((d*(d/((d/(d/((d/(d*d**(-2/41)))/d)))/d))/d)/d)/d))/(d*d*d*d**7))/(d/d**(1/4))**(4/3))**4 assuming d is positive. d**(-1632/41) Simplify (((d*d**(-1/18))/d)**(-26))**(22/9) assuming d is positive. d**(286/81) Simplify (n/(n*n**(3/25)))**(30/11)/((((n**(6/17)*n)/n)/n)/(n/(n/(n/n**(6/19)))*n)) assuming n is positive. n**(35601/17765) Simplify (((r**(-5)*r)/r*r**(-7)*r)/(r**4*r*r**(2/13)))**17 assuming r is positive. r**(-3570/13) Simplify (h**(-3)*h**(-2/51))/(h**16/(h/h**30)) assuming h is positive. h**(-2450/51) Simplify (((q/(q*q/(q*q*q**4))*q)/q)/(q/(q/q**11)*q*q))/((q*q/(q/q**(2/27))*q)/(q*q**(-1))) assuming q is positive. q**(-272/27) Simplify (j/j**(-2/37))**28/((j**27/j)/j**(2/23)) assuming j is positive. j**(3064/851) Simplify ((c*c*c*c*c**(-1/2)*c*c*c*c**(-2))/(c*(c**(1/17)/c)/c*c*c*c/(c/c**13)*c*c))**(-2/47) assuming c is positive. c**(393/799) Simplify (w**15*w*w**(1/17)/w*w)/(w/((w/((w*(w/w**2)/w*w)/w))/w))**10 assuming w is positive. w**(273/17) Simplify z*z/(z**0*z)*z**(-5)*((z/(z*z/(z*(z/z**(-1/3))/z))*z)/z*z*z)/(z**(1/3)*z) assuming z is positive. z**(-3) Simplify ((x*(x/x**(-14))/x)/(x*x/x**(-7)))**(-26/3) assuming x is positive. x**(-52) Simplify (((w*(w**(5/2)/w)/w)/w)/w*w*w*w)/((w**(-2)/w)/w)*(w/((w**(-2/13)*w)/w))/(w/w**12*w) assuming w is positive. w**(459/26) Simplify (t*t*t**(-9))/(t/(t*t**(-3/5)/t))*(t**3)**(11/7) assuming t is positive. t**(-136/35) Simplify l**13*l*l/l**(1/5)*l**(12/5)/l*l/(l/(l*l*l*l**1)) assuming l is positive. l**(101/5) Simplify (u**(-4/3)/(u/u**(-30)))/((u**(6/17)/u)/(u/((u/(u*u/(u/((u**(7/3)*u*u*u)/u))*u)*u)/u))) assuming u is positive. u**(-431/17) Simplify (a*a**(-6)*a*a/(a**(-5)/a)*a)/(a**1)**24 assuming a is positive. a**(-20) Simplify ((o/o**(-1/5))/o**(-8/7))/(o**(-1/15)*o)**(-11) assuming o is positive. o**(1324/105) Simplify (((((u*u/(u/u**(-2/33))*u*u)/u*u*u)/u)/u)/u)/u**(-5/6)*u**(-10)/(u/((u*(u**(-3/2)*u)/u)/u)) assuming u is positive. u**(-118/11) Simplify d**(-12)/(d*((d*d**(-3)*d)/d)/d)*d/(d/(d**8/d))*d**(2/3) assuming d is positive. d**(-7/3) Simplify (m/m**(-2/5))**40/(m**(-3/8)/m**2) assuming m is positive. m**(467/8) Simplify (z**(-1/3))**(-2/11)*z**(-2/37)*z**(2/3) assuming z is positive. z**(274/407) Simplify ((h*h**(-5/4))/(h**6/h))/(h**(1/4))**(2/119) assuming h is positive. h**(-2501/476) Simplify ((((c/(c*c**(3/4)))/c)/c)/c**(2/49))/(c*c*c/(c**7/c))**(2/13) assuming c is positive. c**(-5935/2548) Simplify w**(-2/7)*w**(-35)*(w**(-2/61)*w)**11 assuming w is positive. w**(-10524/427) Simplify ((h/h**(-1/58))/(h/(h*(h*h/(h/(h*h**(6/13))))/h)))/(h**(-3/2)/(h/(h*h/(h*h**28)))) assuming h is positive. h**(12056/377) Simplify t/((t/(t**(-3/4)*t*t*t))/t)*t**(-1/4)*t*t*t**13*t*t**(-3/11) assuming t is positive. t**(206/11) Simplify (d**(-2/49))**(-9/4)*d*d*d/((d**26/d)/d)*d**(-1/19) assuming d is positive. d**(-39029/1862) Simplify (v**(-7)*v**(-3)/v)/(v**(-4))**(-12) assuming v is positive. v**(-59) Simpli
{ "pile_set_name": "DM Mathematics" }
nd h. 112 Let u(f) = f**3 - 3*f**2 - 7*f + 3. Let s be u(5). Calculate the common denominator of ((-5)/((-420)/477))/(12/(-8)) and 59/4 + (-9)/s. 28 What is the smallest common multiple of 1590/2120 - (-154)/8 and 3310? 6620 Suppose 0*u + 14 = u. Suppose -5*v + u = 2*v. Let f = v - 1. What is the lowest common multiple of 11 and f? 11 Let z = 448 + -444. Suppose 0 = 4*i + 3*n - 601, -5*i - n + 755 = 2*n. What is the lowest common multiple of i and z? 308 Suppose 0 = -2*c - 3*c - 5*i + 155, -4*c = -2*i - 106. Suppose c = 3*x - 80. Calculate the smallest common multiple of (12 - 6) + 6 - (1 + -1) and x. 36 Let o = 80 - 82. Find the common denominator of 9/6*55/3 and 54/16*(21/18 + o). 16 Let d = -11855/17244 - 10/1437. Suppose 0 = -3*r - 3*l - 264, -8*r = -7*r - 3*l + 84. Calculate the common denominator of d and r/116 - (-55)/18. 36 Let g(b) = 17*b**2 + 11. Let n be g(3). Let i = 189 - n. Calculate the smallest common multiple of 40 and i. 200 Let w(r) = -8*r**2 + 107*r - 9. Calculate the lowest common multiple of w(13) and ((-45)/(-2))/5*2. 90 Find the common denominator of ((-87)/(-20))/(16*(-1)/20) and 30/(-12)*(-26)/180. 144 Let b = 911809 + -2646069757/2902. Find the common denominator of b and -1/3. 8706 Find the common denominator of -49/3 and 42218/(-31416) + (-8)/(-68). 84 What is the common denominator of 37/516 and ((-6)/(-129))/(((-880)/1595)/(4/6))? 516 Let g = 11048 - 6167. Calculate the smallest common multiple of 18 and g. 29286 Find the common denominator of 107/630 and 2074/(-4368) + 684/2964. 2520 Suppose 5506 = y - u, -2231*u = -3*y - 2232*u + 16514. Calculate the smallest common multiple of 3 and y. 5505 Let n = 105126/25 + -4206. Let q = -1379/100 + n. Calculate the common denominator of q and -23/18. 36 Let f be -12 + 14 + -2 + 7/1. Suppose -f*k + 18 + 24 = 0. Suppose -33 = -k*n + 123. What is the common denominator of 31/4 and n? 4 Find the common denominator of -101/1432 and 114816/(-21504) + (5 - -1). 10024 Let h = 130 - 126. What is the smallest common multiple of 42 and 37/2 - (-6)/(-48)*h? 126 Calculate the smallest common multiple of 3/(1 - (-50)/(-56)) and ((-24)/45)/((-998)/7485). 28 Let l = -105 + -32. Let k = -29 - l. Find the common denominator of 65/2 and k/(-40)*(2 + (-201)/18). 4 Let f = 3/11393 + 626156/1743129. What is the common denominator of 127/204 and f? 612 Let a(i) = 18*i - 33. Let r be a(2). Suppose -2*q = -2*c - 66 - 2, q = r*c + 30. Calculate the lowest common multiple of 69 and q. 828 Let f = 303 + -29. Let v = f - 104. Calculate the smallest common multiple of v and (3 + -5 + 3)*10. 170 Let x = -492365072300645257489/8015766 + 61424581543504. Let s = -28/22143 + x. Calculate the common denominator of 35/8 and s. 1448 Let a be 616/(-21)*(-6)/4. Let j = a - 26. Let q = -40 + 62. Calculate the lowest common multiple of q and j. 198 What is the common denominator of 10/2 + 2213/(-96) + 17 and -28/33? 1056 Let a(m) = -227*m - 59. Let o be a(-7). Calculate the common denominator of 4/9 and (-8085)/o + (6 - 0). 306 Suppose -12966 - 171354 = 64*t. Let q = -42 + 64. What is the smallest common multiple of q and t/(-207) + (-4)/(-46)? 154 Let p(y) = y**3 + 7*y**2 - 76*y + 16. What is the smallest common multiple of p(-8) and 1280? 8960 Let b = -2/12417 + 1204465/99336. Find the common denominator of b and 6/313. 2504 Suppose -30*i = -22*i - 32. Suppose r - 69 + 15 = -i*y, -2 = -r. Let u = -11 + 22. Calculate the smallest common multiple of y and u. 143 Let m = -4042731/82 + 49301. Let n be (-31 - 32/(-8)) + 1*-3. Find the common denominator of -1 + ((-107)/n - 4/10) and m. 246 Suppose 3*s + 2*f + 2772 = -f, 4*f = 4*s + 3696. Let q = -2603 - -23401/9. What is the common denominator of (-6)/(-39) + s/260 and q? 45 Let t(n) = 23*n - 14. Let h be t(-4). Let k = h + 52. What is the least common multiple of 3 and (1146/k)/(-1) - 2/9? 21 Suppose -4*o = -19*l + 17*l - 16, 0 = 2*l - 5*o + 21. What is the smallest common multiple of l and 1538? 1538 Suppose 2*h - 3*h + 8 = 0. Suppose 2*x - 11 = 5*g - h*g, -2*g = x - 7. Let m = 2254 - 2246. Calculate the smallest common multiple of g and m. 24 Suppose 8*b + 5*w + 5 = 3*b, 4*b + 8*w = -12. Calculate the least common multiple of b and (6/(-8))/(6/(-16)). 2 Let h(j) = 3*j**2 - 6*j. Let w(f) = -21*f + 30. Let s be w(4). Let o be s/(-15) - (-4)/10. What is the least common multiple of 21 and h(o)? 168 What is the common denominator of 86/(-110) + (-6)/(-132)*4 and -37/844? 4220 Calculate the common denominator of (0 - 3 - -11) + 87291/(-10759) and 91/174. 1218 Suppose 0 = 2*o - 287 - 77. Let i = -143 + o. Calculate the common denominator of -47/5 and i. 5 Let v = -1/11728 + -404531/996880. Calculate the common denominator of 22/37 and v. 6290 Let a be (-4)/(-10) + (-37)/5. What is the common denominator of (-6)/a*(-1)/(-2) and 6/19 + (441045/5472)/(-135)? 224 Let c(k) = 661*k**2 - 48*k + 284. What is the smallest common multiple of c(4) and 1? 10668 Suppose -2*p + 26*p - 408 = 0. Suppose -p*q + 19*q = 28. What is the smallest common multiple of 4 and q? 28 Let v = -3989743 + 12639505987/3168. Calculate the common denominator of 113/1188 and v. 9504 Suppose -3*s - 33 + 30 = 0. Find the common denominator of (3/4*-25)/(s + 7) and -41/14. 56 Let b = 165569/220 - 8246/11. Let c = -20010 + 900386/45. What is the common denominator of b and c? 180 Suppose 4*c - 5*g = -3, 5*c + 2*g - 2 - 19 = 0. Calculate the lowest common multiple of c and 101. 303 Find the common denominator of (-15235)/(-1210) - (-3)/6*-16 and 113/6110. 67210 Let m = -8/81 - 3241/810. Let d = 941/10 + -95. What is the common denominator of m and d? 10 Let o(l) = -47*l + 526. Let h(w) = -3*w + 2. Let z be h(2). Calculate the lowest common multiple of 2 + z/(-2) + -3 and o(11). 9 Let v be -5*(228/95)/((-2)/3). Calculate the common denominator of -83/8 and ((-158)/(-92))/(20 - v). 184 What is the common denominator of -11/29 and (-136)/40*(54 - 51)? 145 Let x = -432513 - -299731574/693. What is the common denominator of x and -4/121? 7623 Let m = -9402443/321516280 + 1/413260. What is the common denominator of 43/7 and m? 21784 Let h(n) = -18*n**2 + 406*n + 198. Calculate the least common multiple of h(23) and 19448. 136136 Suppose -4*s = f - 63, -2*f - s + 0*s = -98. Suppose -f = 3*d - 233. Let h = 70 - d. Calculate the smallest common multiple of 16 and h. 16 Let s be (-17)/(-4) - (-1)/(-4). Let b = -636 + 663. Suppose -b*n = -28*n + s. What is the least common multiple of n and 2? 4 Suppose -r = 10 - 15. Suppose r = 2*z - 3*j, 3*z - 4*j - 1 = 9. Let y(m) = -19*m**3 - 2*m - 1. Calculate the least common multiple of y(-1) and z. 20 Let i be (-12)/24 - 1*39/(-6). What is the common denominator of ((-1005)/(-50) + i)*(-1)/(-6) and -26/15? 60 Let c = 56 + 30. Suppose x = -5*v + 4 - 5, 4*x + 2*v - c = 0. Calculate the lowest common multiple of 174 and x. 696 Suppose 2*k = 3*d + 8, 2*k - 15 = 2*d - 3. Suppose 0 = 2*s - 3*s. Calculate the least common multiple of 8 and (-3379)/(-155) + s + 2/k. 88 Suppose i - 24 = -i. Suppose -17*j + 9461 - 1675 = 0. Let f = 472 - j. What is the lowest common multiple of i and f? 84 Calculate the least common multiple of 9714 and (17/(-68)*-2*4)/(1/8). 77712 Let h = -235463/48 + 4905. Calculate the common denominator of -44/147 and h. 2352 Suppose 0 = 3*l - 50 - 37. Suppose 0 = -4*p + 101 - l. Calculate the least common multiple of 150 and p. 450 Let l be 270/(-96)*718*50/12. Let a = l + 8411. Calculate the common denominator of 57/8 and a. 16 Suppose 0 = -4*d - d + 3*q + 9, -3*q = -6. Suppose 0 = -s, d*s + 2*s + 12 = 4*o. Suppose -17*a - 3*a = -320. Calculate the smallest common multiple of a and o. 48 What is the smallest common multiple of 312 and 45/20 - 2781/(-12)? 936 Let a = -88 + 8180/93. Find the common denominator of a and 50/60*6/40 - (-1653)/(-936). 1209 Let n = -47 - -23. Let b = 51 + n. Suppose 64 = 4*k + 16. What is the least common multiple of b and k? 108 Let f = -160 - 140. Let k = f - -344. Calculate the lowest common multiple of 20 and k. 220 Suppose -13398 = -51*p + 9*p. Suppose -28 = -326*h + p*h. Calculate the smallest common multiple of h and 249. 996 Find the common denominator of -113/30 and (801/140 + (-4)/10)/(150/35). 120 Suppose -10*x = 2*x - 24.
{ "pile_set_name": "DM Mathematics" }
Let c = t + -84. Solve -r - 2*q = c - 1, 0 = 5*r + 4*q + 11 for r. -3 Suppose -h - 5*h = -0*h. Let x(s) = -s**2 + 7*s + 11. Let c be x(8). Suppose -c*l = 0, d = -h*d - 4*l + 2. Solve -5*q + 22 = -r + d, -20 = 2*r - 5*q for r. 0 Let k be 7*-4*3/(-42). Solve 2*z = 5*o - k*z + 41, z = -5*o - 21 for o. -5 Suppose 4*f - 10 = 2*w, 8 - 4 = 4*f + 4*w. Solve 5*b = f*c + 3*c + 15, -b = -3*c - 9 for c. -3 Suppose 4 = s - 2*b, 4 = -b + 2*b. Let z be s/(2/(-10)*-2). Let a = z - 26. Solve 5*c = a*g - 0 - 1, 0 = 2*g + 4*c + 6 for g. -1 Let z be (1 - (-2 - -2))/(-1). Let m(r) = -5*r**2 + 4*r**2 - 3*r + 2*r + 0*r**2. Let n be m(z). Solve 5*j = -3*k + 22, n*j - 5*k = 3*j - 26 for j. 2 Let z(n) be the third derivative of -2*n**2 + 0*n + 1/6*n**3 + 1/12*n**4 + 0. Let m be z(1). Solve -2*l - 7 = -m*p + 2*p, -4*l - 5*p - 35 = 0 for l. -5 Let z be (-3 - 27/(-6))*20. Let h be (z/20)/((-1)/(-2)). Suppose 5*m = h + 22. Solve 8 = -2*x + 2*s, -7 = 5*x - x + m*s for x. -3 Suppose 11*f + 16 = 93. Solve 4*m + 4 = -4*l, -l - f = -2*m - 0*l for m. 2 Let d(x) = -x**3 - 8*x**2 + 2*x + 19. Let q be d(-8). Suppose 0 = -4*m - 4*i + 2*i + 20, 5*m - 25 = -q*i. Solve -5*s = m*r - 20, 2*r - s + 0*s = -7 for r. -1 Suppose -5*i = -0*q + 4*q - 12, -6 = -3*i - 3*q. Suppose -3*z + 9 = -0. Solve z + 0 = -5*k - 2*y, -11 = 5*k + i*y for k. 1 Let p be 1/((-5)/(-10)) - 2. Let b be -3 + -2 + 3 + 18. Let u = b + -11. Solve 3*s - u*o = p, 2*o + 0 - 1 = s for s. 5 Let f be -8*4/(-8) - -1 - 3. Solve -f*t = 2*y - 10, 0 = y + 4*y - 3*t + 15 for y. 0 Suppose -2*c + 4*c = -2, -3*z = -c - 7. Let x(q) = q**2 - 13*q + 42. Let j be x(8). Solve -3*k = 15, -j*m - z*m - k = 25 for m. -5 Suppose -20*u + 99 = -9*u. Suppose 0 = 66*g - 63*g - u. Solve 0 = -4*s - c - 8, 7*s + 2*c + 12 = g*s for s. -1 Let a = -35 + 52. Suppose 5*h - 5*d - 7 = 78, 3*d = h - a. Let w = h - 14. Solve -3 = -3*u + w, -u = -3*g - 2 for g. 0 Suppose -18 = g - 4*n, 0 = -2*g + g + 5*n - 23. Suppose -x + g*b + 12 = 0, -2*x + 5*x = -4*b + 16. Solve 0 = -w - 3 + x, 5*w - 21 = j for j. 4 Let q be ((-16)/(-4))/2 - (-1 + 1). Suppose 3*x + 45 = -2*x. Let g be 1/(-3) + (-39)/x. Solve -4*z + 7*h - q*h = 19, h - g = z for z. -1 Let l be (0 + (-3)/2)/(64/(-128)). Solve 5*w - d = -2, -5*w + l*d + 1 = 7 for w. 0 Let m be (-1 + (-26)/(-14))*28/6. Solve 2 = 2*j - t, -5*j + 1 = -4*t - m for j. 1 Suppose -3*c + 5*c - 21 = 5*q, -3 = 3*c + 4*q. Solve 2*d + 3*u - 12 = 0, 6 = -c*d + u + 2 for d. 0 Suppose a = 6*a - 25. Suppose 3*b - 4*m + 9 = 41, 0 = -b + 3*m + 14. Solve -a*u + 4*u + 3*r + b = 0, 0 = u + r - 4 for u. 5 Let n be -3 + -10*1/(-2). Suppose 2*k = 6*k - o - 13, -3*k + 18 = n*o. Solve 5*g + k + 6 = -5*h, g = h - 6 for g. -4 Let u(w) = 2*w - 4*w + 2 + 3*w. Suppose -3*m = -2*b - 43, 3*m - 7*b - 41 = -6*b. Let c be u(m). Solve 3*d = -3*j - c, 3*j - 10 = -j + 2*d for j. 0 Let l(u) = u**2 - 5. Let k be l(-4). Let n(a) = a**2 + 23*a + 27. Let q be n(-22). Solve -y - 12 = 5*s + 2*y, q*y - k = 2*s for s. -3 Suppose 0 = -2*r + 2*l - 28, -3*r - 2*l = 2*l + 56. Let d be (6*r/36)/(4/(-6)). Solve d*i = -5*t - 17, 3*i + 2*t = -7 - 4 for i. -3 Let g be 5/(-10)*(-1 + 1). Suppose -d = -6 - g. Let s(n) = 6*n - 6. Let c be s(d). Solve -5*m = 2*y - 0*m - c, 5*m = 20 for y. 5 Let k be ((-9)/3)/(-2*(-3)/(-6)). Suppose -t - 4*t = k*o - 7, -o = 1. Solve -a - c = 0, a - c = t - 8 for a. -3 Let j(m) = 58*m**3 - m**2. Let s be j(1). Let y = -52 + s. Solve y*v = -f + 2, 0 = -f + 5*v - 5 - 3 for f. -3 Let i(p) = -p**3 + p**2 + 2*p + 1. Let o be i(-2). Solve 5*v + 2 + 7 = -b, 2*b = -v - o for v. -1 Let c be 2/(-3) - ((-114)/9 + 8). Solve -8 = c*o - 2*s + s, -o + 4*s = -13 for o. -3 Let y(d) = 3*d**2 + 3*d - 17. Let o be y(-4). Solve -4*n + 3*x - 2*x - 15 = 0, -3*x - o = 4*n for n. -4 Let v be (6/(-21))/(3/(-21)). Solve -11 = -3*s + u + 1, -v*s = -3*u - 8 for s. 4 Suppose -2*t - 6 = -4*v - 20, -23 = 3*v - 4*t. Let o = v - -1. Solve l + 0*l + n = 0, o = -3*l - 2*n - 4 for l. -4 Let w be -5 - -3*4/9*6. Suppose -25 = 3*x - 85. Suppose 4*r + 2*j - x = -2, 2*r + 3*j - 15 = 0. Solve 3*b - w*s + 15 = 0, 0 + 6 = r*s for b. -3 Suppose -11*t + t = 20. Let g(m) = -2*m - 2. Let u be g(t). Let r = 26 - -4. Solve 4*k = -k - u*a - 5, 3*a - r = 5*k for k. -3 Let a(t) = -t**2 + 4*t + 5. Let d(o) = -6*o - 8. Let p be d(-2). Let k be a(p). Solve -3 = w - 3*s, -5*w - 20 = -s - k for w. -3 Let p(i) = 2*i**2 - 21*i - 31. Let h be p(12). Solve 3 = h*m - 4*n, -10*m + 1 = -5*m - 3*n for m. -1 Suppose 12 = 3*i - i - 2*g, -3*i + 22 = -4*g. Let d be (-256)/(-80) + i/(-10). Let m be (-4)/(-6) - (-68)/6. Solve -5*q + 2 = -c, 3 = 4*c + d*q - m for c. 3 Let r(n) = n**2 - 6*n + 8. Let t be r(4). Solve t = -4*a - q - 20, -2*a - 5*q = -2*q + 10 for a. -5 Let h(u) be the third derivative of -u**6/30 + u**4/24 + 2*u**2. Suppose 24*f - 30*f = 6. Let a be h(f). Solve -4*m = 4*w + 28, -a*m - w = 2*m + 23 for m. -4 Suppose -4*y = -390 - 154. Let s = y - -4. Suppose -6*v - s = -11*v. Solve 3*r = -6*n + n + v, 0 = 3*n - 5*r - 10 for n. 5 Suppose -11*q = -6*q + 10. Let g = 6 + q. Solve -g*t - 2*f = -10, -t + 6 = -2*f - 9 for t. 5 Let w(s) = 5 + 9*s - 12 - 6*s. Let l be w(4). Solve 4*g = -u - 2, -l*g - 3*u + 8 = -7*u for g. 0 Suppose -z + 1 = -4. Suppose 3*m = -3, -3*b + z = -m - 2. Suppose b*n + 3*n = 0. Solve 0*w - w - 4*f = 4, -3*w - 4*f - 12 = n for w. -4 Let r = 9 + -2. Let z be 16 + 2 + (0 - 0). Suppose 3*c = m + 4*c - 5, -10 = -2*m + 4*c. Solve r = d + 2*f, m*f + 0*f = -3*d + z for d. 1 Let l = -198 - -208. Solve 0 = -2*g + i + 3*i + l, 2*i + 10 = 0 for g. -5 Suppose -82*c = -92*c + 40. Solve 5*y + 6 = 2*b, 4*y = -2*b + c - 16 for y. -2 Suppose 0 = x + 4*b - 12, 6 = x - 0*b + 2*b. Suppose x = 5*q - 2*q - 15. Solve -4*y + 0*g = -q*g - 16, -5*g = 0 for y. 4 Let h(u) = u**2 + 6*u. Let l be h(-6). Suppose l = -x - 2*i + 1, 2*x - 5*x - i = 12. Let a = x + 12. Solve -2*t = -a*t + 4*k - 9, -3*t + k = 4 for t. -1 Let i be -6 + 3 + (-138)/6. Let o = -23 - i. Solve 4 + 8 = -o*w + 2*k, w = 3*k - 4 for w. -4 Suppose -6 = 25*c - 27*c. Let g = -16 - -31. Solve -4*x + g = c*s, 3*x + x - 7 = 5*s for x. 3 Let a = 20 - 16. Suppose -20 = -a*u - u. Let r(j) = -j**2 + 6*j - 5. Let g be r(u). Solve 5*v = -n - 5, 2*n - 2*v = g*v - 10 for n. -5 Let g = 5 + 3. Let j(h) = h**2 - 8*h. Let a be j(g). Suppose 9*o + 19*o = 20*o + 96. Solve b - 4*b - 3*d - o = a, 0 = -3*b - 5*d - 14 for b. -3 Let z = -20 + 23. Suppose d + z = 2*d. Solve -d*g = q + 18, q + g = -2*q - 14 for q. -3 Let s = 20 - 16. Suppose -2*p + 2*a = -22, -2*p + 2*a = -s*p + 30. Suppose p*y = 8*y. Solve y*q = 2*q + 2*v, 3 = 2*q + v for q. 3 Let x(z) = -1 + 1 - 3*z - 6 + 4. Let l be x(-2). Solve -l*n + 5*r + 8 = 0, 32 = -6*n + 2*n - 5*r for n. -3 Suppose -b + 8 = b. Let p be -1 + 4 - (b - 4). Let w(o) = 2*o. Let l be w(4). Solve p*j = -2*r + r - l, -8 = -3*r - j for r. 4 Let x be 471/5 + 0 - 48/(-60). Let t = x - 90. Solve -t*c = 2*f - 8, 5*c + f - 4 = -0*f for c. 0 Let k(i) = -i**2 + 8*i + 2. Let y be k(8). Let q(t) = t**3 - 8*t**2 - 9*t - 11. Let z be q(9). Let w = 14 + z. Solve 2 = 4*v + 2*s, v + w*s + 11 = y*v for v. 2 Let q be (1 + -2)/((-11)/(-143)). Let d(i) = -10*i + 3*i + 8*i + 18. Let r be d(q). Solve -r*y = -v - v - 17, -3*v - 4*y = -9 for v. -1 Suppose -2*k = -3*h - 5, 4*h = k + 15 - 5. Suppose k*u - 9*u = 30. Solve -w = t + w + 1, 4*t - 5*w = -u for t. -5 Let n be 5/10 - -3 - 4/(-8). Solve n*k - 9*f + 6*f + 4 = 0, -2*f = k + 1 for k. -1 Let t be (882/(-210))/(2 + (-22)/10). Solve -4*p = -a - t, 2*p - 27 = 3*a - p for a. -5 Let f be 6 - (4/(-14) + 27/21). Suppose -6*p - 4 = -4*r - 2*p, 0 = r - 5*p - f. Solve r = i + 3, -2*b = i - 3 + 14 for b. -4 Let c be ((-125)/(-15))/(3/9). Let g be (-1)/(-3 + 76/c). Let s be 1/(-2) + g/(-10). Solve -4*y + 1 = 3*m + s*m, -20 = -2*y + 4*m for y. 4 Suppose -3*r - r + 3*y + 23 = 0, -3*r + 17 = -2*y. Solve 0 = p + b - r*b - 2, p = 3*b + 2 for p. 2 Suppose 19*h + 3*h = 6*h. Suppose -3*j = 2*j, -j = 4*s - 12. Solve 0 = -2*u + 5*u - 3, h = 4*i + s*u + 1 for i. -1 Let h(v) = -5*v - 10. Let b be h(-3). Suppose -d = -5*o + 25, -4*o = -b*o - 3*d - 11. Solve 16 = -4*t - o*g, g = 2*t - g + 12 for t. -5 Suppose -a - 2 = -4. Suppose 0 = 2*k - 0*k - 18. Suppose 4*h - 14 = 90. Solve -2*x = c + x - k, 5*x = a*c + h for c. -3 Suppose 59 = 5*g - 51. Le
{ "pile_set_name": "DM Mathematics" }
th term of -14, -53, -120, -215, -338, -489? -14*c**2 + 3*c - 3 What is the d'th term of -42, -39, -36, -33, -30? 3*d - 45 What is the d'th term of -85, -165, -245, -325, -405, -485? -80*d - 5 What is the u'th term of 122, 524, 1200, 2156, 3398, 4932, 6764? u**3 + 131*u**2 + 2*u - 12 What is the f'th term of 2, -27, -82, -169, -294, -463, -682? -f**3 - 7*f**2 - f + 11 What is the m'th term of -23, -30, -45, -68, -99? -4*m**2 + 5*m - 24 What is the x'th term of -27, -48, -85, -144, -231, -352, -513? -x**3 - 2*x**2 - 8*x - 16 What is the v'th term of 452, 454, 458, 464, 472, 482, 494? v**2 - v + 452 What is the h'th term of 2214, 4426, 6638, 8850, 11062, 13274? 2212*h + 2 What is the n'th term of -10, 0, 16, 38, 66? 3*n**2 + n - 14 What is the f'th term of 36, 44, 46, 36, 8? -f**3 + 3*f**2 + 6*f + 28 What is the m'th term of 543, 551, 565, 585, 611? 3*m**2 - m + 541 What is the c'th term of 8129, 8130, 8131, 8132, 8133, 8134? c + 8128 What is the p'th term of -212, -810, -1798, -3170, -4920, -7042? p**3 - 201*p**2 - 2*p - 10 What is the z'th term of -9, 21, 71, 141, 231? 10*z**2 - 19 What is the k'th term of -1278, -1282, -1288, -1296? -k**2 - k - 1276 What is the j'th term of -25, -93, -199, -337, -501? j**3 - 25*j**2 - 1 What is the o'th term of 29, 33, 37, 41? 4*o + 25 What is the x'th term of -143, -298, -457, -614, -763, -898, -1013, -1102? x**3 - 8*x**2 - 138*x + 2 What is the g'th term of -14, -19, -38, -77, -142, -239, -374? -g**3 - g**2 + 5*g - 17 What is the d'th term of -58, -40, -10, 32, 86, 152, 230? 6*d**2 - 64 What is the q'th term of 22, 26, 30, 34? 4*q + 18 What is the j'th term of -14118, -14122, -14126? -4*j - 14114 What is the s'th term of 1181, 2354, 3537, 4736, 5957, 7206, 8489, 9812? s**3 - s**2 + 1169*s + 12 What is the c'th term of -429, -1724, -3883, -6906, -10793, -15544, -21159? -432*c**2 + c + 2 What is the y'th term of 1351, 1338, 1311, 1264, 1191, 1086, 943, 756? -y**3 - y**2 - 3*y + 1356 What is the r'th term of -48, -92, -132, -168? 2*r**2 - 50*r What is the r'th term of -82, -300, -662, -1174, -1842, -2672? -r**3 - 66*r**2 - 13*r - 2 What is the d'th term of 288, 579, 870, 1161, 1452, 1743? 291*d - 3 What is the x'th term of -3, -26, -49? -23*x + 20 What is the m'th term of 54, 112, 170, 228? 58*m - 4 What is the s'th term of 40, 160, 358, 634, 988, 1420, 1930? 39*s**2 + 3*s - 2 What is the g'th term of -21, -14, -3, 12? 2*g**2 + g - 24 What is the g'th term of -1848, -3700, -5550, -7398, -9244, -11088, -12930? g**2 - 1855*g + 6 What is the b'th term of 165, 326, 485, 642? -b**2 + 164*b + 2 What is the k'th term of 53, 92, 131, 170, 209? 39*k + 14 What is the l'th term of -89, -135, -137, -89, 15, 181, 415, 723? l**3 + 16*l**2 - 101*l - 5 What is the n'th term of -77, -327, -745, -1331, -2085, -3007? -84*n**2 + 2*n + 5 What is the g'th term of -217, -879, -1983, -3529, -5517, -7947? -221*g**2 + g + 3 What is the z'th term of 17, 79, 235, 533, 1021, 1747? 8*z**3 - z**2 + 9*z + 1 What is the p'th term of -1171, -1174, -1179, -1186, -1195, -1206, -1219? -p**2 - 1170 What is the r'th term of 5, -3, -25, -67, -135, -235, -373? -r**3 - r**2 + 2*r + 5 What is the m'th term of -31, -57, -57, -19, 69, 219, 443? 2*m**3 + m**2 - 43*m + 9 What is the u'th term of -174, -703, -1584, -2817, -4402, -6339? -176*u**2 - u + 3 What is the x'th term of -1018, -1017, -1016, -1015, -1014? x - 1019 What is the z'th term of -3329, -3324, -3309, -3278, -3225? z**3 - z**2 + z - 3330 What is the s'th term of -56, -35, 6, 73, 172, 309, 490, 721? s**3 + 4*s**2 + 2*s - 63 What is the l'th term of 15, 11, 5, -3, -13? -l**2 - l + 17 What is the j'th term of 8933, 8935, 8947, 8975, 9025, 9103, 9215? j**3 - j**2 - 2*j + 8935 What is the m'th term of -18, -62, -136, -240, -374? -15*m**2 + m - 4 What is the u'th term of 12250, 24501, 36752, 49003? 12251*u - 1 What is the q'th term of -10, -23, -34, -43, -50, -55, -58? q**2 - 16*q + 5 What is the k'th term of -15, -3, 13, 33, 57, 85? 2*k**2 + 6*k - 23 What is the a'th term of 9, 68, 211, 480, 917, 1564, 2463? 7*a**3 + 10*a - 8 What is the t'th term of 148, 300, 464, 646, 852, 1088, 1360, 1674? t**3 + 145*t + 2 What is the f'th term of 34, 15, -4, -23, -42? -19*f + 53 What is the c'th term of 19, 54, 109, 184, 279? 10*c**2 + 5*c + 4 What is the o'th term of 81, 77, 71, 63, 53, 41? -o**2 - o + 83 What is the j'th term of 130, 132, 134, 136, 138, 140? 2*j + 128 What is the n'th term of -588, -590, -592? -2*n - 586 What is the v'th term of 37, 78, 129, 196, 285, 402, 553, 744? v**3 - v**2 + 37*v What is the m'th term of -361, -2842, -9571, -22672, -44269, -76486, -121447? -354*m**3 - 3*m - 4 What is the j'th term of 247, 243, 239, 235, 231, 227? -4*j + 251 What is the h'th term of 39, 22, -11, -66, -149, -266, -423? -h**3 - 2*h**2 - 4*h + 46 What is the v'th term of 234, 296, 360, 426, 494, 564, 636? v**2 + 59*v + 174 What is the h'th term of 32, 91, 174, 287, 436, 627? h**3 + 6*h**2 + 34*h - 9 What is the i'th term of 185, 173, 153, 125, 89, 45, -7? -4*i**2 + 189 What is the k'th term of -74, -73, -70, -65, -58, -49? k**2 - 2*k - 73 What is the p'th term of 12, 5, 2, 9, 32, 77, 150? p**3 - 4*p**2 - 2*p + 17 What is the r'th term of 18311, 18313, 18315, 18317, 18319? 2*r + 18309 What is the u'th term of 560, 558, 556, 554, 552, 550? -2*u + 562 What is the f'th term of -584, -2329, -5236, -9305, -14536? -581*f**2 - 2*f - 1 What is the o'th term of -278, -552, -826, -1100? -274*o - 4 What is the b'th term of 118, 459, 1028, 1825, 2850? 114*b**2 - b + 5 What is the a'th term of 0, 0, 4, 12? 2*a**2 - 6*a + 4 What is the t'th term of 88, 79, 78, 91, 124, 183, 274, 403? t**3 - 2*t**2 - 10*t + 99 What is the x'th term of 21, 27, 43, 75, 129, 211, 327? x**3 - x**2 + 2*x + 19 What is the q'th term of 76, 78, 82, 88, 96, 106? q**2 - q + 76 What is the p'th term of 73, 75, 77, 79, 81, 83? 2*p + 71 What is the n'th term of 40, 78, 116, 154? 38*n + 2 What is the j'th term of -139, -139, -133, -115, -79, -19, 71, 197? j**3 - 3*j**2 + 2*j - 139 What is the k'th term of 11, 25, 39, 53? 14*k - 3 What is the g'th term of 3, 11, 23, 39, 59, 83? 2*g**2 + 2*g - 1 What is the h'th term of 115, 142, 181, 238, 319, 430, 577, 766? h**3 + 20*h + 94 What is the a'th term of -7, 20, 71, 152, 269? a**3 + 6*a**2 + 2*a - 16 What is the m'th term of 5, -27, -117, -295, -591, -1035, -1657, -2487? -5*m**3 + m**2 + 9 What is the n'th term of 41, 51, 63, 77, 93, 111? n**2 + 7*n + 33 What is the j'th term of 393, 702, 1011, 1320, 1629, 1938? 309*j + 84 What is the t'th term of -366, -365, -364? t - 367 What is the v'th term of 2508, 2512, 2528, 2562, 2620, 2708, 2832, 2998? v**3 - 3*v + 2510 What is the s'th term of -83, -88, -109, -152, -223, -328, -473, -664? -s**3 - 2*s**2 + 8*s - 88 What is the p'th term of -2491, -2493, -2495, -2497? -2*p - 2489 What is the s'th term of -21, -148, -375, -714, -1177, -1776, -2523, -3430? -2*s**3 - 38*s**2 + s + 18 What is the j'th term of 32, 97, 162, 227, 292? 65*j - 33 What is the x'th term of 20, 32, 68, 140, 260? 2*x**3 - 2*x + 20 What is the w'th term of 271, 320, 369? 49*w + 222 What is the t'th term of 61, 56, 45, 28, 5, -24, -59? -3*t**2 + 4*t + 60 What is the n'th term of 65, 123, 183, 245, 309? n**2 + 55*n + 9 What is the p'th term of 22, 43, 56, 61? -4*p**2 + 33*p - 7 What is the b'th term of -16, -34, -56, -76, -88? b**3 - 8*b**2 - b - 8 What is the b'th term of -61, -208, -447, -772, -1177, -1656, -2203, -2812? b**3 - 52*b**2 + 2*b - 12 What is the x'th term of -5, -25, -79, -185, -361, -625, -995? -3*x**3 + x**2 - 2*x - 1 What is the m'th term of 144, 221, 298? 77*m + 67 What is the h'th term of -95, -75, -71, -89, -135? -h**3 - 2*h**2 + 33*h - 125 What is the c'th term of 270, 532, 794, 1056, 1318, 1580? 262*c + 8 What is the a'th term of 35, 39, 55, 89, 147? a**3 - 3*a + 37 What is the t'th term of -24, -11, 2? 13*t - 37 What is the r'th term of 9, -6, -15, -18, -15, -6, 9? 3*r**2 - 24*r + 30 What is the s'th term of 1392, 2785, 4180, 5577? s**2 + 1390*s + 1 What is the u'th term of 614, 613, 612? -u + 615 What is the c'th term of 14721, 14719, 14717, 14715? -2*c + 14723 What is the j'th term of -17, -48, -105, -194, -321, -492, -713, -990? -j**3 - 7*j**2 - 3*j - 6 What is the d't
{ "pile_set_name": "DM Mathematics" }
se -4*j = -2*d + 46, d - 5*j = 6*d - 40. Let w(s) = -17*s**2 + 13*s. Calculate d*u(z) + 6*w(z). 2*z**2 Let v(l) = 5*l + 3 - 4 - 3. Let m(w) = 2*w - 2. Let t be 70/15*(-9)/(-6). Calculate t*m(h) - 3*v(h). -h - 2 Let i(p) = -5*p**2 - 2*p - 3. Let u(o) = -9*o**2 - 4*o - 6. Determine 5*i(h) - 3*u(h). 2*h**2 + 2*h + 3 Let n(v) = 17*v**2 - 4*v + 0 + 4 - 11*v**2 - 2*v**2. Let s(h) = 6*h**2 - 6*h + 6. Let m be (2 - 5)/((-3)/8). Determine m*n(f) - 5*s(f). 2*f**2 - 2*f + 2 Let o = 163 + -164. Let n(z) = -z**2 - 4. Let a(d) = -2. Let m(v) = 1. Let b(g) = -a(g) - m(g). Calculate o*n(k) - 4*b(k). k**2 Let l(f) = 6*f - 15. Let h(d) be the first derivative of -3*d**2/2 + 8*d - 15. Give -11*h(m) - 6*l(m). -3*m + 2 Let m(i) = -i**2 + i. Let d(b) = 4*b**2 - 4*b. Determine -6*d(p) - 26*m(p). 2*p**2 - 2*p Let q(y) = -y + 2. Let h(a) = -a + 1. What is 3*h(d) - q(d)? -2*d + 1 Let j(a) = 15*a + 2. Let s(b) = 8*b + 1. Calculate -3*j(z) + 5*s(z). -5*z - 1 Let o(x) = 6*x**3 - 2*x**2 - 4*x - 4. Let d(u) = 6*u**3 - 3*u**2 - 5*u - 5. Give 4*d(g) - 5*o(g). -6*g**3 - 2*g**2 Let d(b) = b**3 - b**2 - b. Let y(i) = -2*i**3 + 3*i**2 - 4*i. Give -3*d(v) - y(v). -v**3 + 7*v Let r(f) = -7*f**2 - 2. Let g(b) = -b**2 - 1. Calculate -10*g(o) + 5*r(o). -25*o**2 Let o(q) = -11*q**2 + 8. Let x(n) be the third derivative of -n**5/15 + n**3/2 + 51*n**2. What is -3*o(m) + 8*x(m)? m**2 Let h(i) = -27*i**3 + 50*i**3 - 24*i**3 - i + 1. Let a(c) = -2*c**3 - 2*c + 2. Determine 2*a(s) - 5*h(s). s**3 + s - 1 Let j(i) = 3*i**3 - 3*i**2 - 3*i - 1. Let n(p) = 6*p**3 - 5*p**2 - 5*p - 1. What is 5*j(q) - 3*n(q)? -3*q**3 - 2 Let z(x) = -1. Let m(f) = 14*f + 8. Calculate m(h) + 8*z(h). 14*h Let k(t) = 2*t**2 + 4*t. Let h be (-10)/((-2 - -1)/1). Let z be h/3 - 10/(-15). Let c(m) = -3*m**2 - 7*m. Calculate z*c(r) + 7*k(r). 2*r**2 Let v(t) = 3*t**2 + t. Suppose -4*d + 29 = 2*o + 7, 5*d - 21 = 4*o. Let m(c) be the first derivative of c**3/3 + c**2/2 + c + 3. Give o*m(p) - v(p). -2*p**2 + 1 Let y(c) = c**3 - c**2 - 3*c. Let m be y(3). Let a(g) = m*g**2 - 5*g**2 + 5*g**2 + g + 5*g. Let v(s) = -8*s**2 - 5*s. What is -5*a(w) - 6*v(w)? 3*w**2 Let o(d) = -8*d - d**2 + 0 + 4*d**2 - 2*d**2 + 8. Let z(r) = r**2 - 5*r + 5. Calculate 5*o(p) - 8*z(p). -3*p**2 Let j(t) = -t**3 - t. Let k(l) = -l**3 - 2*l + 1. Determine -j(r) - k(r). 2*r**3 + 3*r - 1 Let g(f) = 0 + 64*f - 63*f - 1. Let w(z) = 5*z - 5. Determine 4*g(d) - w(d). -d + 1 Let b(h) = h. Let k(y) = -7*y - 4. Let u(r) = 4*b(r) + k(r). Let j(c) = c**3 + 16*c + 21. Determine -2*j(d) - 11*u(d). -2*d**3 + d + 2 Let g(t) be the third derivative of t**5/60 + t**4/24 - 6*t**2. Let d(q) = 5*q**2 + q - 1. Let b(z) = -z**2 - 4*z + 2. Let o be b(-5). Determine o*g(j) + d(j). 2*j**2 - 2*j - 1 Let q(s) = -s**3 - 4*s**2 + 3*s - 7. Let j be q(-5). Let a(k) = k - 5. Let v = 29 + -33. Let u(d) = d - 4. Give j*a(n) + v*u(n). -n + 1 Let m(s) = 14*s**3 + 9*s**2 + 7*s. Let a(n) = -7*n**3 - 4*n**2 - 3*n. What is -9*a(k) - 4*m(k)? 7*k**3 - k Let h(w) = 3*w + 3. Suppose 2*p = -5*m + 39, 30 = -m + 5*m + 2*p. Let j(z) = 1 - 8 - 7*z + 0. Give m*h(r) + 4*j(r). -r - 1 Let n(b) be the first derivative of b**3/3 + b**2/2 + 57. Let m(k) = 4*k**3 - 10*k**2 - 10*k. Give m(j) + 10*n(j). 4*j**3 Let h(p) = -2*p - 3. Let k(i) = 3*i + 2. Determine 4*h(w) + 3*k(w). w - 6 Let t(g) = g**3 + 4*g**2 - 6*g + 3. Let c(r) = -r**3 - r - 1. Let n(b) = 2*b**3 - 5*b**2 + 11*b. Let o(u) = -4*c(u) - n(u). What is 4*o(x) - 5*t(x)? 3*x**3 + 2*x + 1 Let q = 82 + -88. Let h(m) = -8*m**3 + m**2 + 9*m + 6. Let o(d) = -15*d**3 + 2*d**2 + 17*d + 11. What is q*o(f) + 11*h(f)? 2*f**3 - f**2 - 3*f Suppose 4*l + 1 + 5 = -2*m, 2*l = 4*m - 18. Let s(n) = -4*n**3 + 3*n + 3. Let g(r) = -r**3 + r**2 + r + 1. Give l*g(d) + s(d). -d**3 - 3*d**2 Let m(p) = -22*p + 2 + 6*p - 1 + 11*p. Let g(u) = -11*u + 3. Calculate -3*g(k) + 7*m(k). -2*k - 2 Let i(u) = 5*u**2 - u - 5. Suppose 4*b - 12 = b. Let d(x) = 6*x**2 - 2*x - 6. Determine b*i(z) - 3*d(z). 2*z**2 + 2*z - 2 Suppose -7*o - 96 = -3*o. Let x = o - -19. Let l(z) = -2*z + 2. Let d(m) be the second derivative of m**3/3 - m**2 - m. Determine x*d(s) - 6*l(s). 2*s - 2 Let o(i) = 20*i + 20. Let p(g) = 28*g + 28. Let w be (7*1)/(0 + 1). Let s(n) = -9*n - 9. Let l(b) = w*s(b) + 2*p(b). What is 14*l(f) + 5*o(f)? 2*f + 2 Let w(r) = -3*r**2 - 32*r + 10. Let p be w(-11). Let u(y) = -4*y**2 - 2*y + 1. Let b(g) = -g**2 + 1. Suppose 4 + 4 = -2*v. Let d = v - -6. Give d*b(a) + p*u(a). 2*a**2 + 2*a + 1 Let g(p) = -2. Let d(k) = -k**3 + 3. Let f = 89 + -92. Give f*g(a) - 2*d(a). 2*a**3 Let g(t) = -2*t**3 - 2*t**2 + 2*t - 3. Let y(h) = -4*h**3 - 4*h**2 + 4*h - 6. Give 13*g(c) - 6*y(c). -2*c**3 - 2*c**2 + 2*c - 3 Let v = -11 - -19. Let p(u) = 3*u**3 + 6*u**2 - 8*u + 14. Let s(q) = q**3 + 2*q**2 - 3*q + 5. Determine v*s(c) - 3*p(c). -c**3 - 2*c**2 - 2 Let f(r) = r + 1. Let t = -109 + 112. Let y(j) = -j. Determine t*y(o) + 2*f(o). -o + 2 Let d(o) = o**3 + 3*o**2 - o + 1. Let m(k) = -k**3 - 5*k**2 + 2*k - 2. Give -10*d(i) - 6*m(i). -4*i**3 - 2*i + 2 Let v(y) = -4*y**3 + 7*y + 13. Let p(m) = -3*m**3 + 4*m + 6. Let l(d) = -16*d**3 + 21*d + 31. Let z(o) = 2*l(o) - 11*p(o). Determine 2*v(u) + 7*z(u). -u**3 - 2 Let r be 2/1*(-39)/(-6). Let a(p) = -17*p + 15. Let b(t) = 2 + 0*t - 9 + 8*t. What is r*b(u) + 6*a(u)? 2*u - 1 Let q = -2 - -9. Let x(w) = -6*w**2 + 7*w. Let t(f) = 11*f**2 - 12*f + 6. Let n(l) = 21*l**2 - 23*l + 11. Let o(z) = 6*n(z) - 11*t(z). Give q*o(a) + 6*x(a). -a**2 Let i(d) = -d**2 + 3*d. Let a(w) = -w**2 + 5*w. Let t(o) = o**2 + 4*o - 6. Let g be t(-5). Let h = g - -6. Calculate h*i(b) - 3*a(b). -2*b**2 Let m(g) = 2*g**2 - 5*g - 3. Let c(r) = -r**2 + 4*r + 2. Calculate -4*c(n) - 3*m(n). -2*n**2 - n + 1 Let x(m) = -m**3 + 2*m**2 + 4. Let s(p) = p**3 - 2*p**2 - 4. What is 3*s(i) + 4*x(i)? -i**3 + 2*i**2 + 4 Let r(a) = -5*a**3 - 3*a + 3. Let x(u) = -24*u**3 - 16*u + 16. Give 16*r(y) - 3*x(y). -8*y**3 Let g(b) be the second derivative of b**4/3 + 3*b**2 - 9*b. Let f(r) = 11*r**2 + 17. Determine 6*f(h) - 17*g(h). -2*h**2 Let g(o) = 8*o**3 - 5*o**2 - 5*o - 3. Let d(s) = -7*s**3 + 4*s**2 + 4*s + 2. Calculate -5*d(y) - 4*g(y). 3*y**3 + 2 Let l(v) = -v + 1. Let w(t) = 3*t - 1. Let g(s) = 2*l(s) + w(s). Suppose -21 = -4*f + 23. Let p(z) = 6*z + 5. Calculate f*g(o) - 2*p(o). -o + 1 Let t(i) be the first derivative of i**2/2 + 2*i + 1. Suppose y = 12 - 1. Let z(q) = -3*q - 5. What is y*t(o) + 4*z(o)? -o + 2 Let x(w) = -2*w**3 - 14*w**2 - 5*w + 5. Let r(f) = 2*f**3 + 15*f**2 + 4*f - 4. What is -5*r(t) - 4*x(t)? -2*t**3 - 19*t**2 Suppose 0 = g + g. Suppose 5*n - 8*n + 12 = g. Let j(b) = 3*b**3 - 6*b**2 + 4*b + 4. Let d(l) = 4*l**3 - 7*l**2 + 5*l + 5. Determine n*d(u) - 5*j(u). u**3 + 2*u**2 Let y(d) = -4949*d**3 - 441*d. Let p(k) = 45*k**3 + 4*k. Give 441*p(o) + 4*y(o). 49*o**3 Let n(x) = x. Let p(y) = 2*y. Let m(w) = -3*n(w) + p(w). Let q(t) = -t**2 + 3*t + 2. Suppose j + 3 = 4*j. What is j*q(a) + 3*m(a)? -a**2 + 2 Let f be (4 - 2)/(2/3). Let g(y) = -5*y**2 - 1. Let d be (0 - 2) + 1 + -1. Let v(t) = -4*t**2. Calculate d*g(q) + f*v(q). -2*q**2 + 2 Let t(c) = -c**3 - c**2. Let r(j) = -10*j**3 - 12*j**2. Give -r(u) + 5*t(u). 5*u**3 + 7*u**2 Let t(b) = 8*b**3 - 2*b**2 + 6*b - 2. Let l(w) = -33*w**3 + 9*w**2 - 25*w + 9. Let u(x) = 2*l(x) + 9*t(x). Let c(v) = 17*v**3 + 11*v. What is 4*c(n) - 11*u(n)? 2*n**3 Let b(f) = 34*f + 1. Let m(z) = 33*z + 1. Give 4*b(q) - 5*m(q). -29*q - 1 Let t(c) = 15*c**2 + 13*c - 4. Let o = -38 + 51. Let n(r) = -7*r**2 - 6*r + 2. Determine o*n(y) + 6*t(y). -y**2 + 2 Let b(p) = -110*p**3 + 45*p**2 + 45. Let f(c) = c**3 - 18*c**2 - 19*c - 2. Let q be f(19). Let m(k) = 5*k**3 - 2*k**2 - 2. What is q*b(i) - 45*m(i)? -5*i**3 Let k(w) = 4*w + 3. Let d(o) = 9*o + 6. What is -3*d(b) + 5*k(b)? -7*b - 3 Let z(j) = -2*j**3 - 5*j**2 - 5*j - 7. Let k(w) = -w**3 - 3*w**2 - 3*w - 4. Calculate 5*k(b) - 3*z(b). b**3 + 1 Let x(z) = z**2 - 12*z - 1. Let v be x(12). Let d be (7 - 6) + (-5)/1. Let w(h) = -h**2 + 1. Let p(c) = 3*c**3 + 4*c**2 - 4. Determine d*w(u) + v*p(u). -3*u**3 Let n(p) = 11*p**2 - 20*p + 23. Let d(c) = -4*c**2 + 7*c - 8. Suppose 3 = -o + 9. Determine o*n(k) + 17*d(k). -2*k**2 - k + 2 Let x(l) = 11*l + 9. Let v(f) = f + 3 + 4*f - 2*f + f. What is -8*v(z) + 3*x(z)? z + 3 Let u(v) = -v
{ "pile_set_name": "DM Mathematics" }
*y**4 + 0 = 0. -3, -1/3, 0 Let o(n) = n**2 + 3*n. Let i(t) = -t - 94 + 190 - 96. Let h(a) = 3*i(a) + o(a). Suppose h(x) = 0. Calculate x. 0 Suppose v = b, 0 = -b + 2*v - 3*v. Let s(r) be the third derivative of 1/80*r**5 + r**2 + 1/24*r**3 + b*r + 1/480*r**6 + 1/32*r**4 + 0. Factor s(g). (g + 1)**3/4 Let i(v) be the second derivative of v**6/15 - 3*v**5/2 - v**4/6 + 5*v**3 - 551*v. Let i(k) = 0. Calculate k. -1, 0, 1, 15 Suppose 0 = 7*j - 133 - 7. Determine b, given that -6*b**5 + 20*b**3 + 2*b**5 - 32*b + 4*b**2 - j + 18 - 4*b**4 + 18 = 0. -2, 1 Let s be ((-1)/(-1) - 1) + (4 - 1). Factor -s*d - 14*d**3 + d + 10*d**2 - 45*d**4 + 51*d**4. 2*d*(d - 1)**2*(3*d - 1) Suppose 0 = -22*b + 469 - 205. Suppose 9/4*u**5 - 33/4*u + 9/2*u**2 + 18*u**3 - 9/2 + b*u**4 = 0. What is u? -3, -1, 2/3 Let i(p) = -p**3. Let j(v) = -6*v**3 - 3*v**2 - 2*v. Let o(k) = -5*i(k) + j(k). Factor o(q). -q*(q + 1)*(q + 2) Let b(q) be the second derivative of -q**7/189 + 19*q**6/45 - 149*q**5/15 + 1175*q**4/27 - 83*q**3 + 81*q**2 + 9*q. Factor b(c). -2*(c - 27)**2*(c - 1)**3/9 Let q(p) = 6*p**3 + p**2 - p. Let k(t) = -37*t**3 - 52*t**2 + 6*t. Let a(o) = k(o) + 6*q(o). Suppose a(x) = 0. What is x? -46, 0 Let m(s) = s**2 + 9*s + 10. Let t be m(-8). Factor -q**t - 3 + 4*q - 5*q + 5*q. -(q - 3)*(q - 1) Let c(d) be the third derivative of -d**6/1140 - 3*d**5/190 - 2*d**4/19 - 16*d**3/57 - 2*d**2 + 21. Solve c(q) = 0. -4, -1 Let b(s) be the third derivative of s**6/60 - 8*s**5/15 - s**4/12 + 16*s**3/3 - 17*s**2 - 17. Solve b(i) = 0 for i. -1, 1, 16 Let c be (-5 - -6)*-9 + 11. Let o(d) be the third derivative of 1/105*d**5 + 0*d + 2*d**c - 4/21*d**3 + 1/42*d**4 + 0. Suppose o(k) = 0. What is k? -2, 1 Let n(b) be the first derivative of -b**3/15 + 83*b**2/5 - 6889*b/5 - 245. Factor n(c). -(c - 83)**2/5 Factor 0 - 34/7*k - 1/7*k**3 + 5*k**2. -k*(k - 34)*(k - 1)/7 Suppose -13*w = -16*w - 165. Let x = -53 - w. Factor 0*d + 0 - 1/5*d**x. -d**2/5 Suppose -7*v = 4*v - 44. Let n(p) be the third derivative of 0*p + 0*p**3 + 1/100*p**5 + 4*p**2 + 0 - 1/40*p**v. Factor n(j). 3*j*(j - 1)/5 Find y such that 0 + 1/5*y**5 + 17/5*y**4 + 44/5*y + 103/5*y**2 + 15*y**3 = 0. -11, -4, -1, 0 Let d be (-10 - -22)/((-24)/8 + (1 - -9)). Suppose -d*a**2 + 25/7*a - a**3 - 6/7 = 0. What is a? -3, 2/7, 1 Factor f**3 - 4*f**3 - 95*f**2 - 4*f**4 + 91*f**2 - 5*f**3. -4*f**2*(f + 1)**2 Suppose -m - 1 + 6 = 0. Suppose 2 = 2*c - 2*j - 10, -46 = -m*c - 3*j. Factor -8*n**3 - 5 - 18*n**5 + 10*n + 1 + 16*n**5 - 4*n**2 + c*n**4. -2*(n - 2)*(n - 1)**3*(n + 1) Factor -15 - 145*s**4 + 30*s**3 - 152*s**4 + 302*s**4 + 10*s**2 - 5*s**5 - 25*s. -5*(s - 3)*(s - 1)*(s + 1)**3 Find u such that 27*u**2 + 24 + 99/2*u + 3/2*u**3 = 0. -16, -1 Suppose -4*v = v - 15. Factor 55*j**3 - 2*j - 52*j**v - j**4 - 2*j. -j*(j - 2)**2*(j + 1) Let v be 39/12 - (-5)/(-20). Suppose -v = 2*q - 13. Factor -3*r**3 + r**4 - 2*r + 5*r**2 - q*r**3 + 2*r**3 + 2*r**3. r*(r - 2)*(r - 1)**2 Let d = 2867 + -2863. Factor 0*n**2 + 2/9*n**d + 0*n + 0 - 2/9*n**3. 2*n**3*(n - 1)/9 Let h(a) = -6*a**2 + 12*a - 19. Suppose 0 = -5*v + 34 + 161. Let o(d) = -d**2 + 2*d - 3. Let p(s) = v*o(s) - 6*h(s). Determine n so that p(n) = 0. 1 Let c be ((-14)/(-21))/(2/891). Let s be (-2)/(-16) + (6 - c/72). Factor -2/5*k**s - 2/5*k**3 + 2/5*k**4 + 0 + 2/5*k. 2*k*(k - 1)**2*(k + 1)/5 Let z(j) be the first derivative of -3*j**5 + 65*j**4/4 + 50*j**3/3 - 59. Determine g so that z(g) = 0. -2/3, 0, 5 Suppose -5*z - 2*b + 25 = -b, 0 = 5*z + 4*b - 40. Factor -z*p - 10*p**2 + p - 2*p + 5*p**2. -5*p*(p + 1) Factor 0 - 312/5*b**2 + 132/5*b**3 + 48*b - 18/5*b**4. -6*b*(b - 2)**2*(3*b - 10)/5 Let k(q) be the second derivative of q**6/420 - q**5/210 - q**4/42 - 6*q**2 + 16*q. Let m(x) be the first derivative of k(x). Solve m(p) = 0. -1, 0, 2 Find k, given that -25*k**4 + 0*k**2 + 53*k**3 + k**5 + 11*k**4 - 4*k**3 + 0*k**2 = 0. 0, 7 Let b(d) be the third derivative of 0*d**5 - 1/504*d**8 + 1/90*d**6 + 0*d**7 + 40*d**2 - 1/36*d**4 + 0*d**3 + 0*d + 0. Determine u so that b(u) = 0. -1, 0, 1 Factor -9*x - x**3 + 3*x**3 - 6*x + 7*x**2. x*(x + 5)*(2*x - 3) Let r(x) be the first derivative of 2*x**3/3 - 12*x**2 + 40*x - 42. Factor r(h). 2*(h - 10)*(h - 2) Let y(v) = v**3 + 2*v**2 - v + 4. Let l(g) = g**2 + 1. Let p(d) = -3*l(d) + y(d). Let m(f) = f**3 - 3*f**2 + 3*f - 1. Let r(j) = -m(j) - p(j). Solve r(s) = 0. 0, 1 Suppose w = -5*t - 78, 0 = 2*t - t + 2*w + 12. Let k = t - -19. Let -9*l**3 + 0*l**2 + 4*l**2 - 4 + 3*l**2 + 6*l**k = 0. Calculate l. -2/3, 1, 2 Let o(x) = x**2 + 5*x - 20. Suppose 0 = b + 2, -4*b = -5*k + b - 30. Let g be o(k). Factor 20/7*s**g - 8/7*s**3 - 16/7*s**2 + 0 - 6/7*s**5 + 0*s. -2*s**2*(s - 2)**2*(3*s + 2)/7 Let m(q) = 4*q**4 - 21*q**3 - 96*q**2 - 101*q - 36. Let w(p) = -p**3 - p. Let i(n) = m(n) + 3*w(n). Solve i(r) = 0. -1, 9 Let p be (-9)/(-4) - 1/4. Let a(q) = -1 - 6*q**2 + 3*q - p + 0*q. Let j(x) = -12*x**2 + 6*x - 5. Let i(b) = 5*a(b) - 3*j(b). Factor i(z). 3*z*(2*z - 1) Let k(j) = 3*j**2 - 41*j - 167. Let r(t) = -92 + 3*t**2 - 62*t - 62 + 2*t**2 - 97. Let p(b) = -8*k(b) + 5*r(b). Factor p(s). (s + 9)**2 Let u(f) be the third derivative of -5*f**2 + 0*f - 1/12*f**4 - 7/60*f**5 + 0*f**3 + 0 - 1/40*f**6. Factor u(j). -j*(j + 2)*(3*j + 1) Let l(c) be the first derivative of c**6/11 + 2*c**5/55 - 4*c**4/11 + 8*c**3/33 - 97. Suppose l(o) = 0. Calculate o. -2, 0, 2/3, 1 Determine k, given that -169*k**2 + 6*k**4 - 2254*k - 1372 - 98*k**2 + k**2 + 46*k**3 = 0. -7, -2/3, 7 Let s(g) be the third derivative of g**5/60 + 5*g**4/12 + 3*g**3/2 + 14*g**2 - 3. Factor s(r). (r + 1)*(r + 9) Let a = 7 - 3. Let s = 3630 - 3627. Suppose 0*h + 0 + 3/5*h**a - 3/5*h**2 + 3/5*h**s - 3/5*h**5 = 0. Calculate h. -1, 0, 1 Let t be 15/(-21)*(8 + -27 + 12). Let 4 + 79*j**2 + 52*j**4 - 189/2*j**3 - 21/2*j**t - 30*j = 0. What is j? 2/7, 2/3, 1, 2 Let u = -884 - -11494/13. Let s(d) be the first derivative of -7 + 0*d - u*d**2 + 10/39*d**3. Factor s(w). 2*w*(5*w - 2)/13 Let h be (12 + -1 + -44 + 34)*(3 - 3). Factor -2/11*k**5 + h - 4/11*k**2 + 0*k - 10/11*k**3 - 8/11*k**4. -2*k**2*(k + 1)**2*(k + 2)/11 Let b(n) = -4*n**2 - 312*n + 7. Let z(a) = 3*a**2 + 208*a - 5. Let i(t) = 5*b(t) + 7*z(t). What is g in i(g) = 0? 0, 104 Determine b so that -2*b**2 - 36 - 166/3*b = 0. -27, -2/3 Let u(g) be the second derivative of g**10/151200 - g**8/4200 + g**6/225 - 3*g**4/2 - 8*g. Let k(w) be the third derivative of u(w). Find p such that k(p) = 0. -2, 0, 2 Let r = -15 + 16. Let n(a) = -2*a**2 - 2*a - 11. Let p(s) = s**2 + s + 1. Let d(l) = r*n(l) + 5*p(l). Let d(i) = 0. Calculate i. -2, 1 Let a(x) be the second derivative of x**6/105 - x**5/14 + x**4/21 + 20*x**3/21 - 24*x**2/7 + 160*x. Factor a(y). 2*(y - 3)*(y - 2)**2*(y + 2)/7 Suppose k = -n - 1 + 7, 4*n + 5*k - 29 = 0. Suppose -2*z + n = -9. Factor 43*a**3 - 44*a**3 + 3*a**5 - 2*a**z. a**3*(a - 1)*(a + 1) Let t = -8 + 13. Suppose 33 = -0*l + 2*l - t*i, -5*i = 4*l + 9. Factor 98 - 18 + l*x**3 + 15*x**4 + 5*x**5 - 80*x**2 - 24*x**3. 5*(x - 2)*(x - 1)*(x + 2)**3 Let u be (-4 - (-9 - -5))/(2/2). Let k(i) be the first derivative of 5 + 0*i**2 + 0*i + 1/5*i**5 + u*i**4 - 1/3*i**3. Suppose k(w) = 0. Calculate w. -1, 0, 1 Suppose -13*j = -17*j + 32. Factor -j*v**2 + 2 - 16 + 5*v**2 - 61 - 30*v. -3*(v + 5)**2 Let u be (-27)/18*20/(-6). Factor 1 + u - a**2 - 5. -(a - 1)*(a + 1) Let m(c) be the third derivative of 0*c**5 - 1/540*c**6 + 0 - 2/945*c**7 + 30*c**2 + 0*c**4 - 1/1512*c**8 + 0*c + 0*c**3. Factor m(h). -2*h**3*(h + 1)**2/9 Let u(z) = 304 - 299 + 7*z**2 - 17*z**2. Let w(v) = -11*v**2 - v + 4. Let o(j) = -4*u(j) + 5*w(j). Factor o(n). -5*n*(3*n + 1) Let u(z) = 5*z**3 + 400*z**2 + 8387*z + 15208. Let g(o) = 110*o**3 + 8800*o**2 + 184515*o + 334575. Let p(n) = -2*g(n) + 45*u(n). Let p(i) = 0. What is i? -39, -2 Suppose -7 + 13 = 2*b. Suppose -32*w**2 + 5*w**3 - 4*w**3 - 5*w**b + 12*w**4 - 16*w = 0. What is w? -1, -2/3, 0, 2 Let t(h) be the third derivative of 289/12*h**3 + 1/120*h**5 + 16*h**2 + 0*h + 17/24*h**4 + 0. Let t(f) = 0. What is f? -17 Suppose 16*z - 55*z = -13*z. Factor 0 - 1/2*j**2 + 5/6*j**3 + z*j. j**2*(5*j - 3)/6 Factor 3776 + 24*n**2 - 3696 + 21*n**2 - 120*n - 5*n**3. -5*(n - 4)**2*(n - 1) Let z(v) be the second derivative of 6*v**3 - 2 + 54*v**2 + 2
{ "pile_set_name": "DM Mathematics" }
32*i**4 Let p(u) be the first derivative of 2*u**3/3 - 1. Suppose -4 - 4 = -4*x. Let c(l) = -l**2 + 6*l**x - 3*l**2. Determine p(c(h)). 8*h**4 Let q(o) = -5*o + 2*o - 2*o. Let d(p) = 3*p**2 - p**2 - 3 + 3. Calculate q(d(z)). -10*z**2 Let u(v) = -7*v**2. Let w(f) be the second derivative of 0 - f + 1/6*f**3 + 0*f**2. Calculate u(w(r)). -7*r**2 Let z be (-7)/14*(5 + -1). Let g(i) = 39*i**2 + 7*i - 7. Let y(w) = -13*w**2 - 2*w + 2. Let u(l) = z*g(l) - 7*y(l). Let a(t) = -t**2. Give u(a(h)). 13*h**4 Let v(b) = -8*b - 7. Let n(s) = -1 - 2*s + s + 0. Let y(w) = 14*n(w) - 2*v(w). Let k(l) be the second derivative of -l**3/2 - 7*l + 10. What is k(y(u))? -6*u Let k(j) = 9*j. Let t(o) = -3*o. Let z(m) = -8*m. Let w(r) = -11*t(r) + 4*z(r). Determine k(w(v)). 9*v Let v(y) = -37*y. Let m(z) = z - 17. Determine m(v(p)). -37*p - 17 Let a(j) be the second derivative of 5*j**4/12 - 22*j. Let p(v) = -2*v**2. Determine a(p(q)). 20*q**4 Let u(j) be the first derivative of -3*j**2/2 - 2. Let x(q) be the first derivative of -2*q**3/3 + 1. Give x(u(a)). -18*a**2 Let o(p) = 2*p. Let g be 13/52*(-8)/(-1). Let y(a) = a**2 + 0*a**g + 2*a**2. Calculate y(o(z)). 12*z**2 Let p(r) = -941 + 941 + 6*r - 12*r. Let w(x) = 3*x**2 - 5*x**2 + x**2. Calculate w(p(h)). -36*h**2 Let h(d) = 2*d. Let m(w) = 5*w**2. What is m(h(l))? 20*l**2 Let o(t) be the second derivative of 0 - 7*t + 0*t**2 + 0*t**3 + 1/6*t**4. Let f(a) = 5*a**2. Determine o(f(z)). 50*z**4 Let t be 1 - (2 - (4 + -1)). Let s(g) = 0 - 8*g + 1 + 7*g. Let l(h) = -2*h + 1. Let i(a) = t*l(a) - 2*s(a). Let x(b) = 2*b. Determine x(i(w)). -4*w Let k(a) = 34*a**2. Let c(m) = 78*m**2. Calculate k(c(o)). 206856*o**4 Let h(n) = 2*n**2. Let s(t) = -64*t. Calculate s(h(v)). -128*v**2 Let l(j) = -7*j**2 - 4*j. Let z(t) = 5*t**2. Calculate z(l(o)). 245*o**4 + 280*o**3 + 80*o**2 Let v(j) = 2*j. Let o(r) be the first derivative of r**3/3 - 6. Calculate o(v(u)). 4*u**2 Let u(z) be the second derivative of 0*z**2 - 1/6*z**4 - 3*z + 0*z**3 + 0. Let s(q) = -q**2. Calculate s(u(r)). -4*r**4 Let c(n) = -10*n**2. Let v(h) = -37*h**2. Determine c(v(o)). -13690*o**4 Let s(o) = -23*o + 44*o - 21*o + 2*o**2. Let g(v) be the second derivative of v**3/2 - v. What is g(s(k))? 6*k**2 Let y(r) = 2 - 2 - 2*r. Let f(k) be the second derivative of -k**3/6 - 3*k. What is y(f(z))? 2*z Let z(h) = -2*h**2. Let t(a) = -3952*a**2. Determine t(z(b)). -15808*b**4 Let d(x) = -3*x**2. Let r(o) be the third derivative of 8*o**5/15 + 2*o**2 + 1. Give d(r(i)). -3072*i**4 Let i(q) = -6*q - 2. Let y(m) = m**2. Give y(i(u)). 36*u**2 + 24*u + 4 Let f(n) = -12*n. Let p(j) = -38*j. What is f(p(x))? 456*x Let n(a) = -a**2. Let o(l) be the third derivative of -l**5/120 + l**3/6 + 2*l**2. Let h(b) be the first derivative of o(b). Determine h(n(z)). z**2 Let u(c) = c + 1. Let j be u(-1). Let l(y) be the second derivative of 0 + 1/3*y**3 - 2*y + j*y**2. Let z(t) = 2*t**2. Calculate z(l(n)). 8*n**2 Let j(o) = 3*o. Let c(h) = -61*h**2. Calculate j(c(x)). -183*x**2 Let p(d) = -3*d. Let r be 2 + 0 + (1 - 0). Let m(c) be the second derivative of c + 0*c**2 + 0 + 1/12*c**4 + 0*c**r. Determine m(p(x)). 9*x**2 Let o(n) = -3*n + 7. Let u(f) = -83*f**2. Give o(u(y)). 249*y**2 + 7 Let q(a) = 8*a - 3. Let g(w) = -3*w**2. What is g(q(j))? -192*j**2 + 144*j - 27 Let w(v) = -2*v**2. Let a(t) be the second derivative of 0*t**3 + 0 + 0*t**2 + 2*t + 1/12*t**4. What is a(w(u))? 4*u**4 Let f(y) = -y**2 - 5*y + 7*y - 2*y. Let z(o) = 5*o**2. What is z(f(s))? 5*s**4 Let a(t) = -t**2. Let h(d) = -200*d. What is h(a(u))? 200*u**2 Let b(y) = y. Let c(a) = -1. Let n(i) = 9*i + 5. Let v(g) = -5*c(g) - n(g). Give b(v(s)). -9*s Let z(f) = f**2. Let l(x) be the third derivative of -x**8/20160 - x**5/30 + 7*x**2. Let y(g) be the third derivative of l(g). What is y(z(q))? -q**4 Let z(h) = 4*h. Let k(n) = 7*n. Let w(r) = -6*k(r) + 11*z(r). Let q(c) = -20*c. Give q(w(m)). -40*m Let f(z) = -3743*z. Let p(y) = 2*y. Determine f(p(l)). -7486*l Let z(q) = 5*q. Let v(u) = -30*u. Determine v(z(t)). -150*t Let t(b) be the third derivative of b**5/60 - 5*b**2. Let n(u) = 6*u + 3. Let m(g) = -11*g - 5. Let d(r) = 3*m(r) + 5*n(r). Calculate d(t(z)). -3*z**2 Let v(m) = m - 1. Let k(a) = a - 4. Let f(p) = k(p) - 4*v(p). Let y = 0 - 4. Let u(d) = -d. Let h(r) = 5*r. Let z(o) = y*h(o) - 18*u(o). What is f(z(n))? 6*n Let x(y) = -2*y - 7. Let z(r) = 1. Let t(q) = -5. Let d(w) = -t(w) - 4*z(w). Let o(g) = 35*d(g) + 5*x(g). Let f(m) = -m. Determine o(f(k)). 10*k Let z(h) = -8*h. Let v(g) = g + 2. Let w(b) = -6*b - 15. Let n(m) = 15*v(m) + 2*w(m). Determine z(n(o)). -24*o Let s(f) = -2*f**2. Let y(w) = -1705*w + 2. Determine s(y(u)). -5814050*u**2 + 13640*u - 8 Let h(q) be the first derivative of q**2/2 - 11. Let g(k) = 3 + k**2 - 3. What is h(g(x))? x**2 Let a(h) = 2*h - 3*h + h - 2*h. Let w(m) = 8*m. Let y(t) = -t. Let f(o) = -w(o) - 5*y(o). Determine a(f(s)). 6*s Let z(p) = -25*p**2. Let w(q) = -q**2 - 2*q. Let u(i) = 5*i**2 + 8*i. Let f(x) = u(x) + 4*w(x). Give z(f(r)). -25*r**4 Let c(b) = 8 + 4*b + 2 + 3 - 15. Suppose 4*p + p + 5 = 0. Let g(o) = o - 1. Let d(u) = p*c(u) + 2*g(u). Let h(k) = 3*k**2. Determine d(h(z)). -6*z**2 Let s(r) = 2*r**2. Let f(m) = 3*m**2 - 2*m**2 + 3*m**2 - 3*m**2. Calculate s(f(i)). 2*i**4 Suppose 10*f + 2*z = 7*f + 14, z - 4 = 0. Let a(j) be the third derivative of j**f + 1/30*j**5 + 0*j + 0*j**4 + 0*j**3 + 0. Let w(o) = 2*o. Give a(w(i)). 8*i**2 Let t(y) = 3*y. Let u(m) be the second derivative of -2*m**3/3 + 14*m. Give t(u(n)). -12*n Let k(x) = -3*x. Let b(s) = -7*s. Let a(l) = -6*b(l) + 15*k(l). Let o(p) = 2*p. Calculate o(a(j)). -6*j Let c(y) = 4*y - 4. Let q(v) = -13*v + 11. Let n(k) = 11*c(k) + 4*q(k). Let r(j) = -1 + 1 - 2*j. Determine r(n(o)). 16*o Let y(q) = -2*q**2. Let a(x) be the first derivative of 11*x**2/2 - 12. Give y(a(j)). -242*j**2 Let i(d) = 2*d. Let o(b) = b. Let s(q) = 4*i(q) - 6*o(q). Let z(h) = -61*h**2. Determine z(s(k)). -244*k**2 Let t(f) = 18*f**2 - 15. Let k(r) = r**2 - 1. Let j(c) = 15*k(c) - t(c). Let d(s) = 45*s. Calculate d(j(a)). -135*a**2 Let m(d) be the third derivative of -d**5/60 + d**2. Let w(y) be the first derivative of 2/3*y**3 + 0*y**2 + 2 + 0*y. Determine w(m(c)). 2*c**4 Let n(m) = -25 + 12 + 2*m + 13. Let q be (0/(1 + 2))/2. Let y(g) = -g + 0*g + q*g. What is y(n(x))? -2*x Let k(q) = -27*q**2. Let h(c) = 24*c**2. Calculate h(k(g)). 17496*g**4 Let u(n) = -34*n**2 + 2. Let k(l) = 5*l. Calculate k(u(h)). -170*h**2 + 10 Let u(o) = -4*o. Let l(s) = -234*s. What is l(u(a))? 936*a Let f(m) be the third derivative of -m**5/20 + m**2. Let v(u) = 2*u**2 + 0*u**2 + 4*u**2 - 3*u**2. Determine f(v(a)). -27*a**4 Let m(a) be the third derivative of a**5/20 + 2*a**2. Let h(o) = -35 + 75 - 40 - o**2. What is h(m(s))? -9*s**4 Let b(w) = w**3 - 6*w**2 + 8*w - 10. Let q be b(5). Let f(k) = -q + 5*k + 5 - 16*k. Let a(s) = -2*s. What is f(a(o))? 22*o Let b = -23 - -23. Let t(f) be the second derivative of 0*f**2 - f + b + 1/6*f**3. Let a(u) = -u. Calculate a(t(m)). -m Suppose -2*l + 2*h = l - 521, 2*l - 5*h = 340. Let w(u) = -l - u + 175 - 4*u. Let r(g) = -4*g**2. Calculate w(r(o)). 20*o**2 Let q(s) = -3*s + 1. Let p(b) = -4*b**2. Determine q(p(r)). 12*r**2 + 1 Let y(q) = 24*q - 1. Let c(j) = j. Determine c(y(s)). 24*s - 1 Let g(i) = 2*i. Suppose -5*t - 67 = 3*s, -t + 0*s + s = 7. Let d = t + 7. Let w(a) = -2*a**2. Let q(r) = 3*r**2. Let k(c) = d*q(c) - 7*w(c). Give k(g(h)). 8*h**2 Let p(z) = 2*z. Let a(q) = 3*q**2 + 180*q + 1. Calculate p(a(t)). 6*t**2 + 360*t + 2 Let l(u) = -9781*u**2. Let f(g) = 3*g. Give l(f(j)). -88029*j**2 Let b(q) = -3*q - 4*q + q. Let f(w) be the first derivative of -4*w**3/3 - 55. Calculate f(b(c)). -144*c**2 Let l(s) = 6*s**2 + 2*s. Let x(k) = -7*k**2. What is l(x(v))? 294*v**4 - 14*v**2 Let t(k) = -15*k. Let x(y) = 12*y**2. Calculate x(t(w)). 2700*w**2 Let r(c) be the third derivative of 7*c**4/24 + 24*c**2. Let q(h) = -h**2. What is r(q(k))? -7*k**2 Let i(a) = -64*a - 1. Let l(n) = -n**2. Calculate l(i(t)). -4096*t**2 - 128*t - 1 Let l(c) = c**2. Let v(r) = -7*r + 4. Let b = 128 + -51. Let a(k) = -133*k + 77. Let z(t) = b*v(t) - 4*a(t). Give l(z(m)). 49*m**2 Let h(s) = -7*s**2 - 2772*s + 2772*s. Let n(r) = -4*r**2. Calculate n(h(v)). -196*v**4
{ "pile_set_name": "DM Mathematics" }
t n(o) = -o**2 + 9*o - 10. Let z be n(8). Let s be d(z). Let j = s + 21. Is j a multiple of 7? True Let k be (-3 + 0/(-3))*5. Let w be 6/(-15) + (-126)/k. Suppose 3*p - 18 = -i, i + 0 - w = -p. Is p a multiple of 5? True Let g(d) = d**3 + d**2 + 9*d + 7. Is 42 a factor of g(8)? False Let o(t) = 31*t**2 - 1. Is o(-4) a multiple of 32? False Suppose 5*w = w - 2*y + 3230, 4*w = -5*y + 3239. Does 17 divide w? False Let m = 12 + -10. Suppose m*f + 2*f - 164 = 0. Suppose -146 + f = -5*g. Does 6 divide g? False Let c = 985 + -579. Let b = c + -274. Is 11 a factor of b? True Let w(l) = 144*l**2 + 16*l - 6. Is 43 a factor of w(2)? True Let c(a) be the third derivative of a**4/8 - 4*a**3/3 + 3*a**2. Let n be c(4). Suppose -3*x - y = 2*x - 145, -116 = -n*x + y. Is 12 a factor of x? False Let q(b) = -2*b**2 - 3*b + 8. Let p(g) = -5*g**2 - 10*g + 24. Let t(h) = 3*p(h) - 8*q(h). Does 8 divide t(10)? True Suppose f - 12 = -0. Suppose -f = -2*v + v. Does 6 divide v? True Let p(a) = -a. Let c(m) = -16*m + 1. Let q(h) = c(h) - p(h). Is 8 a factor of q(-3)? False Let r = -4 - -6. Let g be 1/r + 203/14. Let m = -9 + g. Is 5 a factor of m? False Let s(m) be the first derivative of 34*m**2 - 4. Is 17 a factor of s(1)? True Let u be (-4)/(-4)*-5*-1. Suppose -u*r = r. Suppose r = -2*g + 6 + 6. Is g a multiple of 6? True Let d = 48 - 27. Suppose 95 = 2*l + d. Let j = l + -19. Is 8 a factor of j? False Does 54 divide 33110/616 - 1/(-4)? True Suppose 9*u - 168 = 3*u. Suppose 6*k = 554 + u. Is k a multiple of 20? False Let s = 2 + 2. Suppose -s*y + 153 = 3*i, 21 = y - 5*i - 23. Suppose 16 = u - y. Is 22 a factor of u? False Let m = 708 - -641. Is m a multiple of 19? True Suppose -2*f = -3*j + 190, 0 = -3*j - 2*f + 243 - 61. Is j even? True Let f be (102/(-9))/((-2)/(-3)). Let m = f - -22. Suppose -2*b - 3 = 4*j - 45, -m*b = 2*j - 65. Does 5 divide b? False Suppose -11*x + 154 = -4*x. Is x a multiple of 22? True Let d be -548*(-5)/30*3. Let v = d - 160. Is v a multiple of 21? False Let n(f) = 7*f**3 + 3*f**2 - 3*f + 12. Let o be n(4). Suppose 0 = 7*y - o + 125. Is y a multiple of 10? False Suppose -5*o + 123 = -2*f - 2*f, 3*f = -4*o + 86. Suppose -57 = -5*s + o. Suppose 0 = -4*y - s + 48. Does 4 divide y? True Suppose 4*p + p - 20 = 0. Suppose -7*i + 6*i = 4*v - 60, 2*i = p*v + 132. Is 17 a factor of i? False Suppose -3*x - 1427 = -4*a, -a + 29 = -4*x - 344. Is 9 a factor of a? False Let o(j) = j - 9. Let h be (-47)/(-7) - 18/(-63). Let y be o(h). Does 2 divide ((-5)/y)/((-2)/(-4))? False Let k = -100 + 103. Suppose -2*i - 2*b = -0*i - 26, 0 = i + 5*b + k. Is i a multiple of 9? False Let v(q) = 26*q**2 - 2*q - 1. Let n be v(-1). Let d = n - 73. Let f = d + 98. Is 17 a factor of f? False Let c(k) = -8*k**2 - 36*k - 2. Let p(l) = -l**2 + l + 1. Let m(t) = -c(t) + 4*p(t). Is 14 a factor of m(-13)? False Suppose p + d = -11, 2*d - 6*d = 2*p + 32. Let t(m) = m**3 - 2 + 6*m + 8 + 3 + 7*m**2. Is 9 a factor of t(p)? True Is (-20)/(-2 + (-35)/(-18)) a multiple of 30? True Suppose 83*m + 27296 = 99*m. Is m a multiple of 10? False Let v(d) = d + 15. Let r be v(-13). Suppose 3 = -r*s + 9. Suppose -k - 26 = -s*y - 98, -5*k = 5*y - 420. Does 26 divide k? False Let r = 74 - -45. Is 51 a factor of r? False Suppose 27*x - 26*x - 407 = 0. Suppose -3*o + x = 107. Is 15 a factor of o? False Suppose -6 = -2*w + 2, -2*y = -4*w + 36. Is 13 a factor of ((-47)/(-1))/(y - -11)? False Let x(o) = -o**3 - 43*o**2 + 4. Does 2 divide x(-43)? True Let c(b) = b**3 + 9*b**2 + 7*b - 4. Let r be c(-8). Suppose -5*h = 5*g - 40, -r*h - 5*g + 24 = -8. Let o = h + -4. Is o a multiple of 4? True Let i = 41 + -36. Suppose i*d - 338 = -73. Is 15 a factor of d? False Suppose 0 = -3*x - 3*g + 11976, 5*x + 12036 = -4*g + 31997. Suppose -5*o - 6*o = -x. Does 52 divide o? False Suppose -5*k + 20 = -w, -5*k - w = -6*k + 4. Suppose -1 = i, -2*h - k*i = h - 38. Does 14 divide h? True Let g be (16/20)/(4/30). Let s be (-1354)/(-12) + 1/g. Suppose 2*z - r = s, 0 = -4*z + 3*r + 336 - 109. Does 14 divide z? True Suppose -9 = -10*f + 13*f. Let i(z) = -z**3 - 3*z**2 + 4. Let r be i(f). Suppose 0 = -r*j + 134 + 30. Is j a multiple of 7? False Suppose 8*t - 6*t - 1074 = -3*h, 358 = h + 3*t. Does 15 divide h? False Suppose -3*w = -4*w + 3*h + 107, 0 = -2*w + 4*h + 204. Let p = w - 27. Is 19 a factor of p? False Let z(t) = -80*t - 56. Does 44 divide z(-15)? True Suppose -4*d + o = -o - 24, -5*d - 4*o + 30 = 0. Suppose 0 + d = 3*v. Suppose 2*w = v*c - 1 + 31, -3*c - 59 = -4*w. Is w a multiple of 14? True Suppose 3*q + 549 = 3*r, 2*q = -5*r + 705 + 182. Is 52 a factor of r? False Suppose -2 = -2*d + 4. Suppose 5*u - 127 = s, 5*s - 6*s = -d. Does 20 divide u? False Suppose 0*h - h + 2 = 0. Is 5 a factor of h/4*(58 + 0)? False Let k(i) be the first derivative of -i**2 - i + 8. Let y be k(-3). Suppose y*v + 45 = 185. Is v a multiple of 7? True Suppose -3*b = j - 426 + 76, -3*b = -4*j - 370. Does 23 divide b? False Is 19 a factor of (133/28)/((-5)/(-340))? True Suppose 2*h = -2*h - 64. Let g be (9/(-6))/(6/h). Suppose -5*b = -g*d - b + 284, b - 133 = -2*d. Does 17 divide d? True Suppose 5*p = -5*s + 825, -3*s = -5*p + 2*s + 855. Is p a multiple of 28? True Let g(z) = -12*z + 11. Let t = 33 + -38. Is 11 a factor of g(t)? False Suppose -93 = -2*z - 5*s, -17*z + 2*s = -12*z - 276. Does 18 divide z? True Suppose 2*a - 2*j - 330 = 0, -j - 121 - 364 = -3*a. Is a a multiple of 20? True Let q = 9 + -8. Let h be -2 + q*(12 - 4). Suppose -5*w - 3*t + 12 = -3, h = 2*w + t. Does 3 divide w? True Let o be 0*(-4 - (-22)/6). Suppose 2*z + o = 32. Is 32*(84/z)/3 a multiple of 8? True Let j = 9 + 105. Suppose 7*p = 5*p + j. Is p a multiple of 20? False Let h(m) = -6*m**3 + m**2 - 10*m + 11. Let o(x) = -x**3 - 2*x + 2. Let z(q) = -2*h(q) + 11*o(q). Is 13 a factor of z(5)? True Let f(w) = -w**2 + 13*w + 3. Let a be f(13). Suppose 0 = -q + 2*d + 96, 2*d - 11 = -a. Is q a multiple of 8? True Suppose 118 = -i + 124. Suppose 0 = -3*h - 2*b + 131, 3*h - 3*b = -i*b + 129. Is 15 a factor of h? True Suppose -5*n = -0*f - f - 69, 2*f - 18 = -2*n. Let i = -4 + n. Is i a multiple of 3? True Suppose -5*r = -9*r + 12. Suppose r - 125 = -t. Suppose -f + t = 5*c + 2*f, 0 = -3*c - 4*f + 82. Is 11 a factor of c? True Let m = -130 - -71. Let v = m + 219. Suppose -v = -5*z + z. Does 12 divide z? False Suppose -9*d = -19*d + 1940. Is d a multiple of 14? False Let o(i) = 16*i - 5. Suppose -a + 1 = -3*j, 0 = -3*j + 2*j - 5*a + 21. Let h be 1/((-1)/(-4)) - j. Does 19 divide o(h)? False Suppose -7*j = -10*j + 3*u + 27, -2*j - 2*u = -30. Does 6 divide j? True Is (-48)/(-4)*(-3 - (-84)/16) a multiple of 9? True Let z = -49 + 53. Suppose -z*j = -0 - 16. Is j a multiple of 2? True Let s = -207 - -210. Suppose 0 = 2*y + 6, 2*y - 4 = 2*o - 4*o. Suppose w + 3*w + s*n = 58, -38 = -3*w - o*n. Does 16 divide w? True Let u(o) = -149*o - 33. Does 30 divide u(-22)? False Suppose -405 = -12*d - 3*d. Let z be (2 + 1)/(1/(-5)). Let f = z + d. Does 4 divide f? True Suppose 4*r - 26 = -3*a, 4*r = 4*a + 8*r - 36. Suppose 0*w + a = w. Suppose -w + 37 = 3*l. Is l a multiple of 5? False Suppose j - 4*p + 9 + 12 = 0, -2*p = 3*j + 105. Is (5 - (-159)/j) + (-3228)/(-33) a multiple of 16? False Suppose 37*t = 33*t + 16. Suppose -124 = -t*r + 4*x, -r - 2*x = 4*r - 176. Does 22 divide r? False Suppose c + 3*t - 913 + 116 = 0, 0 = c + t - 791. Suppose 0 = 6*s - 2*s - 4*g - c, s + 4*g = 217. Suppose 4*z - 343 = s. Does 30 divide z? False Suppose 0 = 22*y - 25*y + 6. Suppose 4*w - 2*x - 32 = 0, -y*x - x = 0. Is w a multiple of 4? True Let r = 1188 - 724. Is r a multiple of 8? True Let x = 1793 + -368. Does 13 divide x? False Suppose 258 = 9*i + 33. Is i a multiple of 15? False Let b = -135 + 159. Does 18 divide (-2 + b)*(8 - (-6 - -4))? False Let t = -1227 + 1519. Is t a multiple of 2? True Let n(i) = 26*i**2 + 4*i - 2. Let x be n(3). Suppose -4*o = 3*h - 0*o - 345, x = 2*h - 2*o. Does 21 divide h? False Let h = -56 + 37. Let x = -14 - h. Suppose 3*v - x = 226. Does 27 divide v? False Suppose -10 = k - 3*m, 0 = -k - 5*m - 5 + 11. Let v = -1 - -20. Let j = k + v. Is j a multiple of 5? True Let m(r) = 9*r**3 - r**2 + r - 4. Let g be m(2). Suppose 5*v - 25 = 0, g = -2*y - 5*v + 197. Is y a multiple of 21? Fa
{ "pile_set_name": "DM Mathematics" }
}. What is prob of sequence nfnf? 4/285 Calculate prob of sequence jj when two letters picked without replacement from jjjjjutujjjjsjus. 3/8 Calculate prob of sequence mmrm when four letters picked without replacement from {m: 6, r: 2}. 1/7 Calculate prob of sequence ohii when four letters picked without replacement from {n: 1, j: 3, u: 2, h: 1, i: 11, o: 1}. 55/46512 Four letters picked without replacement from {z: 4, k: 2, v: 1}. Give prob of sequence kvzz. 1/35 What is prob of sequence oo when two letters picked without replacement from ooeooooooooooooeooo? 136/171 What is prob of sequence mf when two letters picked without replacement from mvpmfpmfvtvvttpmf? 3/68 Four letters picked without replacement from {d: 3, j: 1, c: 4, s: 3}. Give prob of sequence cjcc. 1/330 Calculate prob of sequence ayaa when four letters picked without replacement from {a: 4, y: 5, v: 6, w: 4}. 5/3876 Three letters picked without replacement from {v: 2, i: 6, e: 1, x: 1, y: 2}. Give prob of sequence vyx. 1/330 Calculate prob of sequence tb when two letters picked without replacement from {v: 8, t: 2, j: 5, b: 2}. 1/68 Two letters picked without replacement from cllscofk. Give prob of sequence kc. 1/28 Two letters picked without replacement from pppotoytotypoyoto. Give prob of sequence ot. 3/34 Four letters picked without replacement from {v: 1, c: 3, s: 9, e: 1}. What is prob of sequence sces? 9/1001 Calculate prob of sequence md when two letters picked without replacement from mmddmmmmmmm. 9/55 What is prob of sequence sndc when four letters picked without replacement from {b: 6, c: 4, d: 1, s: 4, v: 2, n: 3}? 2/4845 What is prob of sequence iig when three letters picked without replacement from mmggimig? 1/56 Three letters picked without replacement from wlwpdioo. What is prob of sequence owp? 1/84 Two letters picked without replacement from {b: 8, g: 1, n: 6}. What is prob of sequence nb? 8/35 Two letters picked without replacement from cpcopuwpppuwt. What is prob of sequence ot? 1/156 Two letters picked without replacement from kfkkkfakkkfkkkakkak. Give prob of sequence fk. 13/114 Two letters picked without replacement from lllmmmkwlmlkk. Give prob of sequence mk. 1/13 What is prob of sequence yupp when four letters picked without replacement from {y: 1, p: 9, s: 2, u: 2}? 6/1001 What is prob of sequence snsn when four letters picked without replacement from nnnngnnngnsnnsngggn? 11/3876 What is prob of sequence tdd when three letters picked without replacement from {d: 3, t: 2}? 1/5 Calculate prob of sequence fb when two letters picked without replacement from ubfu. 1/12 Two letters picked without replacement from {m: 5, h: 1, f: 3}. What is prob of sequence mh? 5/72 Calculate prob of sequence xyn when three letters picked without replacement from xxxxnxxxxnxxyxnyxnxn. 13/684 What is prob of sequence ooio when four letters picked without replacement from {o: 4, i: 7}? 7/330 Four letters picked without replacement from {t: 3, g: 3}. What is prob of sequence gtgt? 1/10 What is prob of sequence vo when two letters picked without replacement from {v: 2, c: 6, d: 2, n: 6, o: 3}? 1/57 Calculate prob of sequence rff when three letters picked without replacement from frfr. 1/6 What is prob of sequence hgc when three letters picked without replacement from {h: 1, i: 1, c: 1, g: 1, f: 1}? 1/60 Calculate prob of sequence xxxx when four letters picked without replacement from xxxxxxxxxx. 1 Two letters picked without replacement from yzzzxbzr. Give prob of sequence yb. 1/56 What is prob of sequence juuu when four letters picked without replacement from ujjuuuj? 3/35 Three letters picked without replacement from kccclookcxcccc. What is prob of sequence cxk? 2/273 Two letters picked without replacement from {u: 5, t: 2, q: 1, v: 1, o: 3}. Give prob of sequence ot. 1/22 Three letters picked without replacement from jjnni. Give prob of sequence jjn. 1/15 Two letters picked without replacement from {e: 4, r: 3}. Give prob of sequence er. 2/7 Two letters picked without replacement from vrw. Give prob of sequence rw. 1/6 What is prob of sequence dd when two letters picked without replacement from iiididddidid? 5/22 Two letters picked without replacement from kdll. Give prob of sequence kd. 1/12 Three letters picked without replacement from nvinnnnnnnnnnvvvvin. What is prob of sequence ivn? 20/969 Four letters picked without replacement from {h: 1, l: 1, v: 2, b: 1}. What is prob of sequence vblh? 1/60 Calculate prob of sequence ddj when three letters picked without replacement from {j: 6, d: 4, x: 1, z: 6, e: 1}. 1/68 What is prob of sequence rru when three letters picked without replacement from {u: 7, r: 4}? 14/165 Two letters picked without replacement from {q: 14, n: 4}. Give prob of sequence qn. 28/153 Calculate prob of sequence tc when two letters picked without replacement from uuuuttaauucuvtycuc. 1/34 What is prob of sequence jyj when three letters picked without replacement from {j: 9, y: 2}? 8/55 What is prob of sequence ppxt when four letters picked without replacement from {x: 1, p: 13, t: 1}? 1/210 What is prob of sequence ol when two letters picked without replacement from {y: 4, o: 2, a: 1, r: 4, l: 5}? 1/24 Calculate prob of sequence mnnm when four letters picked without replacement from nnnnnnnnnmnmnm. 5/182 Two letters picked without replacement from {l: 5, z: 11, i: 1, e: 1, y: 2}. Give prob of sequence le. 1/76 What is prob of sequence hh when two letters picked without replacement from dhhheehheeeeeehehe? 7/51 Calculate prob of sequence su when two letters picked without replacement from uluuzzukzsuluk. 3/91 What is prob of sequence zuz when three letters picked without replacement from occuorczcycozruy? 1/840 Three letters picked without replacement from {k: 4, r: 1, u: 2}. What is prob of sequence kkk? 4/35 Calculate prob of sequence uzz when three letters picked without replacement from {y: 11, z: 6, u: 1}. 5/816 Four letters picked without replacement from jxvaa. Give prob of sequence vjax. 1/60 Four letters picked without replacement from exexexxxxxxee. Give prob of sequence eexx. 28/429 What is prob of sequence baf when three letters picked without replacement from bbaaabxaaabfaaxbabba? 7/684 What is prob of sequence ui when two letters picked without replacement from {q: 5, u: 3, i: 5}? 5/52 Calculate prob of sequence qr when two letters picked without replacement from zqrsstzttz. 1/90 Four letters picked without replacement from {b: 5, p: 2, f: 7}. Give prob of sequence bfbb. 5/286 What is prob of sequence iff when three letters picked without replacement from {c: 2, o: 1, i: 3, f: 1}? 0 Calculate prob of sequence ttm when three letters picked without replacement from tsmmstmm. 1/42 Calculate prob of sequence ec when two letters picked without replacement from yeaaycqexae. 3/110 What is prob of sequence wbbw when four letters picked without replacement from wbwbbwb? 3/35 Three letters picked without replacement from {m: 4, x: 2, z: 2, f: 2, k: 1, a: 4}. What is prob of sequence axk? 4/1365 What is prob of sequence eg when two letters picked without replacement from egexytgxegptgeggggty? 8/95 Three letters picked without replacement from {h: 3, i: 2, f: 4, v: 1}. What is prob of sequence vfh? 1/60 Two letters picked without replacement from {y: 3, l: 12, z: 3}. What is prob of sequence zz? 1/51 Two letters picked without replacement from eneeeneennennnenenn. What is prob of sequence nn? 5/19 Calculate prob of sequence vwvq when four letters picked without replacement from fwvvvfwwfwvqp. 2/715 Four letters picked without replacement from hjjnjjh. What is prob of sequence jjhj? 2/35 What is prob of sequence ojjt when four letters picked without replacement from oatvmomtj? 0 Calculate prob of sequence beeb when four letters picked without replacement from {e: 3, b: 1}. 0 What is prob of sequence yfn when three letters picked without replacement from {n: 4, c: 1, f: 3, y: 6}? 3/91 Two letters picked without replacement from pxxqqxqqqqqqxxx. Give prob of sequence qq. 4/15 Two letters picked without replacement from vavvvvvvvaavvavia. What is prob of sequence iv? 11/272 What is prob of sequence lddh when four letters picked without replacement from {l
{ "pile_set_name": "DM Mathematics" }
3 + 1/96*q**4 + 1/48*q**5 + 0*q + 56*q**2 + 0 + 1/160*q**6. Factor n(t). (t + 1)**2*(3*t - 1)/4 Let j(o) be the third derivative of 5*o**6/24 - 349*o**5/6 - 1975*o**4/3 - 960*o**3 + 3543*o**2. Solve j(f) = 0 for f. -4, -2/5, 144 Let v(n) be the first derivative of 4*n**5/35 + 11*n**4/7 - 52*n**3/21 - 22*n**2/7 + 48*n/7 + 449. What is s in v(s) = 0? -12, -1, 1 Let q = -42884 + 85771/2. Factor -1/2*d**5 + 0*d**3 + 0*d - q*d**4 + 0 + 0*d**2. -d**4*(d + 3)/2 Let u = -19981/999 + 751/37. Let h(i) be the third derivative of 0*i - 1/540*i**6 - 1/9*i**4 - u*i**3 + 0 - 1/45*i**5 + 12*i**2. Find z, given that h(z) = 0. -2 Let i = -232 + 409. What is a in -1855*a**3 + i*a**2 - 35*a**5 + 377*a**2 + 500*a**4 - 64*a**2 - 2 + 2 = 0? 0, 2/7, 7 Let a be (-60)/(-4) + 231/(-21). Let r = -72 - -220/3. Solve -4*v - r*v**4 + 8/3 - 4/3*v**2 + a*v**3 = 0 for v. -1, 1, 2 Factor 0 + 0*q + 8*q**2 + 2/11*q**5 - 80/11*q**3 + 14/11*q**4. 2*q**2*(q - 2)**2*(q + 11)/11 Let f(a) be the third derivative of a**6/40 - 51*a**5/20 + 675*a**4/8 - 625*a**3/2 - 5*a**2 - 163*a. Suppose f(d) = 0. Calculate d. 1, 25 Let r(g) be the third derivative of -3/25*g**5 + 1/5*g**4 + 32/15*g**3 + 0 + 0*g + 1/150*g**6 - 212*g**2. Determine n so that r(n) = 0. -1, 2, 8 Let i(u) be the second derivative of -u**5/50 - 7*u**4/30 + 73*u**3/15 - 13*u**2 - 2*u + 1972. What is j in i(j) = 0? -13, 1, 5 Let c(b) = -b**2 - 16*b + 85. Let g be c(-21). Let n(i) = -i**3 - 19*i**2 - 60. Let m be n(g). Factor -m*u**2 + 150*u**3 - 16/3 + 248/3*u. 2*(u - 2)*(15*u - 2)**2/3 Suppose -1 = 3*t + 5*g, g = -3*t + 2*t + 1. What is p in -27 + 18 - 7*p**t + 22*p + 17 - 23*p**2 = 0? -4, -2/7, 1 Let m(a) = 60*a + 458. Let g be m(0). Let s = -3202/7 + g. Solve 0 + s*f**2 + 0*f + 6/7*f**3 + 2/7*f**4 = 0. -2, -1, 0 Let c(x) be the first derivative of -1/6*x**6 + 0*x + 89 + x**4 - 8/3*x**3 + 0*x**2 + 2/5*x**5. Solve c(p) = 0 for p. -2, 0, 2 Let n be (-12)/(3/7 - (-65)/(-70)). Let m be (2/(-6))/(6/(-36)). Factor -5*j**3 - 10985 - 2535*j - n*j**2 - 26*j**m - 38*j**2 - 107*j**2. -5*(j + 13)**3 Suppose -206 - 905 = -11*o. Let d = o - 93. Factor 3*a + 14*a**2 - 13*a**2 + 0 + d - 9*a. (a - 4)*(a - 2) Let p(z) = -z**3 - 23*z**2 + 28*z + 14. Let q be p(-25). Let r = -3932/7 + q. Determine o so that 32/7*o**3 + 8/7 + 44/7*o - r*o**4 - 12/7*o**5 + 72/7*o**2 = 0. -1, -1/3, 2 Suppose g + 55*q - 9 = 54*q, -4*g + 5*q - 27 = 0. Factor -25/4*m**3 + 0 + 5/4*m**5 - 15/4*m**g - 5/4*m**4 + 0*m. 5*m**2*(m - 3)*(m + 1)**2/4 Determine h so that -22/7 - 7*h**2 + 15/7*h**3 + 57/7*h - 1/7*h**4 = 0. 1, 2, 11 Suppose 0 = 29*n - 26*n + 6. Let k(o) = -5*o**2 - 105*o + 115. Let b(q) = -3*q**2 - 53*q + 58. Let d(r) = n*k(r) + 5*b(r). Factor d(a). -5*(a - 1)*(a + 12) What is v in 0 + 0*v**4 + 0*v**2 - 200/9*v**3 + 0*v + 2/9*v**5 = 0? -10, 0, 10 Let n(q) be the first derivative of 5*q**6/3 - 38*q**5/15 - 5*q**4/2 + 46*q**3/9 - 8*q/3 - 197. What is t in n(t) = 0? -1, -2/5, 2/3, 1 Let i(d) be the first derivative of d**7/168 + 17*d**6/36 - d**5/24 - 85*d**4/12 - 107*d**3/3 + 178. Let u(z) be the third derivative of i(z). Factor u(j). 5*(j - 1)*(j + 1)*(j + 34) Let z(b) be the third derivative of 0*b**3 + 0*b**4 - 1/30*b**6 + b**2 + 0 - 2/5*b**5 + 2/105*b**7 + 4*b. Find o, given that z(o) = 0. -2, 0, 3 Let i(c) be the third derivative of 90*c**2 - 1/144*c**6 + 0*c**4 + 0 - 5/9*c**3 + 0*c + 1/24*c**5. Find b, given that i(b) = 0. -1, 2 Let h(x) be the third derivative of 11/315*x**7 + 0 - 1/252*x**8 + 2/45*x**5 + 0*x**3 + 0*x + 2/9*x**4 + 109*x**2 - 1/10*x**6. Factor h(y). -2*y*(y - 2)**3*(2*y + 1)/3 Let f(r) = -9*r**2 + 57*r - 29*r - 100 + 12*r. Let q(d) = -4*d**2 + 20*d - 50. Let u(b) = 4*f(b) - 10*q(b). Factor u(p). 4*(p - 5)**2 Suppose 0 = 88*y - 382*y. Factor -3/5*b**2 - 4/5*b**3 - 1/5*b**4 + y*b + 0. -b**2*(b + 1)*(b + 3)/5 Let n(r) = r + 6. Let d be n(-2). Let g = -4 + 7. Factor u**3 - 31*u**4 - 6*u**g + 21*u**d. -5*u**3*(2*u + 1) Let h = 699/619 - 3815/5571. Factor -8/9 + h*z + 4/9*z**2. 4*(z - 1)*(z + 2)/9 Let y = -31 - -43. Suppose y - 6 = o. Factor -3*w**2 + 6*w + 1 + 2 - o. -3*(w - 1)**2 Let b be (-1 - 1)*(-33)/22. Suppose b*h - 7 = i, 3*h - 4 = 4*i - 3. Suppose -1/3*v**i - 4/3 - 4/3*v = 0. Calculate v. -2 Suppose -417/7 + 416/7*s + 1/7*s**2 = 0. Calculate s. -417, 1 Let o(d) be the first derivative of d**6/2 - 93*d**5 - 117*d**4 + 4208. Factor o(w). 3*w**3*(w - 156)*(w + 1) Let k = -1861081 + 3722165/2. Let k*c**2 + 21/8*c + 9/8 = 0. What is c? -1, -3/4 Let q(b) be the first derivative of b**5/25 - 201*b**4/5 + 71824*b**3/5 - 9624416*b**2/5 + 113. Factor q(k). k*(k - 268)**3/5 Suppose -2*x + 14 + 152 = 0. Let l = 86 - x. Suppose 10 + 10*k**3 - 4*k**2 - 2*k**5 - 4*k - k + 10*k**4 - 16*k**2 - l*k**5 = 0. What is k? -1, 1, 2 Let h(n) = -27*n - 346. Let i be h(8). Let t = i + 566. Suppose 30/7*x**3 + 0 - 8/7*x**t - 8/7*x - 24/7*x**2 = 0. Calculate x. -1/4, 0, 2 Solve -5184/13 - 148/13*t**2 - 2880/13*t - 2/13*t**3 = 0. -36, -2 Suppose -1744*d - 32 = -1752*d. Factor -3/5 - 3/5*t**d - 3/5*t + 6/5*t**3 - 3/5*t**5 + 6/5*t**2. -3*(t - 1)**2*(t + 1)**3/5 Let k(r) = 3*r**3 + 3*r**2 - 7*r - 1. Let d be (-4)/20 + 117/(-15) + 3. Let z(w) = 2*w**3 + w**2 + w - 1. Let q(h) = d*z(h) + 5*k(h). Let q(c) = 0. Calculate c. -4, 0, 2 Let u(p) be the second derivative of 2/5*p**2 - 7 + 1/30*p**4 + 3*p - 1/5*p**3. Factor u(s). 2*(s - 2)*(s - 1)/5 Let v be (40/(-8) + 4 - 30/(-5))/1. What is j in 21/4 - 1/4*j**2 - v*j = 0? -21, 1 Let l = -5096 + 2226956/437. Let x = l - -1283/3059. Factor 0*k + 0 - x*k**2 - 3/7*k**3. -3*k**2*(k + 1)/7 Let t(v) be the third derivative of 0*v + 0*v**3 + 0 - 42*v**2 + 5/9*v**4 + 7/45*v**5 + 1/90*v**6. Factor t(n). 4*n*(n + 2)*(n + 5)/3 Let i(m) be the first derivative of m**4 - 96*m**3 - 294*m**2 - 296*m - 1571. Factor i(j). 4*(j - 74)*(j + 1)**2 Let u(o) = -o**2 - 12*o + 5. Let h(m) be the first derivative of m**3/3 + 3*m**2 - 3*m + 70. Let c(y) = 5*h(y) + 3*u(y). Solve c(k) = 0 for k. 0, 3 Let o = -2912 - -2925. Let z(g) be the third derivative of -o*g**2 + 1/168*g**4 + 0 + 1/420*g**5 + 0*g - 1/7*g**3. Factor z(a). (a - 2)*(a + 3)/7 Let m(l) = -2*l**3 + 3*l**2 - 8*l - 31. Let p be m(-2). Suppose -p*r - 1 = -27. Find i such that 16/7 + 12/7*i + 2/7*i**r = 0. -4, -2 Let i(s) = 47*s**3 - 81*s**2 - 180*s - 14. Let v(x) = -16*x**3 + 28*x**2 + 60*x + 4. Let d(b) = -2*i(b) - 7*v(b). Factor d(t). 2*t*(t - 3)*(9*t + 10) Let n(i) be the first derivative of 1/6*i**3 + 10*i - 1/2*i**2 - 1/48*i**4 + 20. Let a(k) be the first derivative of n(k). Determine z, given that a(z) = 0. 2 Let v(m) be the first derivative of 7*m**6/30 + 2*m**5/25 - 49*m**4/20 + 28*m**3/15 + 6*m**2/5 + 5491. What is u in v(u) = 0? -3, -2/7, 0, 1, 2 Let o(z) be the third derivative of 275684*z**6/15 + 6724*z**5/5 + 41*z**4 + 2*z**3/3 + z**2 + 1801*z. Factor o(l). 4*(82*l + 1)**3 Let k(b) be the first derivative of -2*b**5/35 - 36*b**4/7 - 2732*b**3/21 - 360*b**2 - 350*b + 3454. Suppose k(q) = 0. Calculate q. -35, -1 Suppose 0 = -3*n + 17*n - 210. Suppose -3*s = -n*i + 12*i - 18, 0 = -4*s + i + 18. Factor -63/2*v**2 - 27/2*v**s + 9/2*v + 3 + 75/2*v**3. -3*(v - 1)**3*(9*v + 2)/2 Factor 2/9*c**3 + 22/3 + 94/9*c + 10/3*c**2. 2*(c + 1)*(c + 3)*(c + 11)/9 Let g(v) be the first derivative of 32*v**5/5 + 20*v**4 - 62*v**3/3 - 22*v**2 - 6*v - 2174. Factor g(w). 2*(w - 1)*(w + 3)*(4*w + 1)**2 Let w(j) be the second derivative of 11/6*j**4 + 23/6*j**3 + 1/2*j**2 + 1 + 4*j. What is o in w(o) = 0? -1, -1/22 Let t be -100*((-4)/6)/(184/69). Solve 97*j - 215*j**3 + 420*j**2 - 234*j + t*j**4 - 43*j = 0. 0, 3/5, 2, 6 Let n(g) be the second derivative of 3/55*g**5 + 1/33*g**3 + 0 - 2/33*g**4 - 4/165*g**6 + 0*g**2 - 59*g + 1/231*g**7. What is s in n(s) = 0? 0, 1 Suppose 0 = -9*o + 12237 + 2163. Let k = -1598 + o. Factor 16*r - 8/5 - 102/5*r**k. -2*(3*r - 2)*(17*r - 2)/5 Let m be -38*(-102)/(-136) + 39. Factor -3*u + 6*u**3 + 0 + m*u**2. 3*u*(u + 2)*(4*u - 1)/2 Let c be 33/((-2178)/282) + 5. Let -c*z**2 - 8/11*z + 0 - 2/11*z**3 = 0. Calculate z. -2, 0 Determine x so that -603/8*x + 3/8*x**3 + 303/8 + 297/8*x**2 = 0. -101, 1 Let o = 36411/2 + -18203. Let y(n) be the second derivative of -9*n**2 - o*n**3 + 1/2*n**4 - 37*n + 0 + 3/20*n**5. Factor y(u). 3*(u - 2)*(u + 1)*(u + 3) Let x = 47/2970 - -4361/5940.
{ "pile_set_name": "DM Mathematics" }
hat is the nearest to -1 in -1/7, 4, i? -1/7 Let w = -12 + 13. Let o = -0.7 - 0.3. Let q = o + w. Which is the nearest to q? (a) -2 (b) 1 (c) -5 b Let w = -0.5 - 0. Let q = -7 - -7. Let t = -1 - -1. Which is the closest to q? (a) w (b) -5/2 (c) t c Let v = -2 - -2.1. Let h = -1.94 - 0.06. What is the nearest to -1 in -3, h, v? h Let k = 30.1 - 30. What is the closest to -1 in k, 5, 0.3? k Let q(i) = i**2 - 5*i + 3. Let u be q(5). Let t = -8 + u. Which is the closest to 0.1? (a) t (b) 0.3 (c) -2/11 b Let d = -49/5 - -10. Let j = 4 + -3. Let u = 3 + -19/5. What is the closest to d in j, 0.3, u? 0.3 Let w = -5.5 - -6. Let p(g) = g**3 + 4*g**2 + 2*g - 3. Let s be p(-3). Which is the closest to -0.08? (a) s (b) w (c) -2 a Let m = -32.1 - -36.1. Let w = -10 - -6. What is the nearest to -0.4 in w, 3, m? 3 Let r be ((-2)/(-10))/(2/(-5)). Let z = -7.03 - -7. Let l = -0.07 + z. What is the nearest to l in 0.5, -0.1, r? -0.1 Let z = 0.2 - 1.2. Let r(x) = -x**3 - 9*x**2 + 6*x - 12. Let i be r(-10). Let g = -28 + i. Which is the closest to g? (a) z (b) 1/4 (c) 2 b Let p(v) = -v**2 + 2. Let f be (18/(-45))/(1/(-5)). Let q be p(f). What is the closest to q in 3, -0.3, -2? -2 Let t = 30 + -30.3. What is the closest to -3/4 in 0, -0.5, t? -0.5 Let v be 42/18*4/14. What is the closest to 1 in 1, 2, v? 1 Let s = 3.5 + -0.5. Let t = 2.9 - s. Let h = t + 0.1. What is the nearest to h in -2, 5, -1? -1 Let v be 4*(0 - (-1 + 0)). Let f = 10 - 2. Let t = 8.1 - f. Which is the nearest to t? (a) -1/4 (b) v (c) 1 a Let r = -53 - -50. What is the nearest to -1 in -1, r, 0.2? -1 Suppose -c - c = -5*y - 11, 0 = -3*c + 9. Let d = -3 - y. What is the closest to 0 in d, -0.2, -0.1? -0.1 Let p = -4.8 - -5. Let o be 12/(-5) - (-2)/5. Which is the closest to o? (a) p (b) -2 (c) -0.1 b Let o(u) = 4*u**2 + u + 0*u - 5*u**2. Suppose -9 = -3*c - 3. Let l be o(c). What is the closest to -1 in -5, -1/7, l? -1/7 Let t = 5390/213 - -2/71. Let p = t - 25. Let r = 159 - 639/4. Which is the closest to 1? (a) p (b) r (c) 0 a Let i = -0.17 + 0.07. Suppose -p - 8 = p. Let d = p - -4. What is the nearest to i in -0.4, d, 4? d Let t = -13 - -16. Which is the closest to 1? (a) 2/3 (b) -0.1 (c) t a Suppose -51*o = -59*o + 16. Let u be (1/(-26))/((-4)/(-16)). Let h = 0 - 2. Which is the closest to h? (a) -3/5 (b) o (c) u a Let o = 12.3 - 16. Let u = o - 0.3. Let p = -88 - -970/11. Which is the nearest to -1? (a) p (b) -3 (c) u a Let d = -145 + 149. What is the nearest to 0.3 in 0.2, d, -0.1? 0.2 Let n be ((-39)/(-24) + -2)*(-20)/15. What is the closest to -0.06 in n, 2/15, 5? 2/15 Let v = -58 - -40. Let f = 13 + v. Let h = 1 - 1.1. What is the closest to h in 0.5, f, 4? 0.5 Let g(j) = j**2 - 8*j - 44. Let v be g(12). What is the closest to -4 in 3, v, -2/9? -2/9 Let y = -8.1 - -8. Which is the closest to y? (a) 2/5 (b) 0.1 (c) -0.4 b Let n be -3 - (-3)/(-15)*-18. Let f = -11 - -6. Which is the nearest to -2? (a) n (b) f (c) -0.4 c Let d = 0.04 - -0.16. What is the closest to -0.3 in d, 5, 1? d Let f be (-2)/(-4) - 1/3. Let m = 36 - 34. What is the closest to 0.2 in f, m, 3? f Let w = -82242305/156 - -527196. Let u = 1869 - 22409/12. Let b = u - w. What is the closest to 0.1 in 0, 1, b? 0 Let v be (-3)/9 - 332/(-24). Let f = 15 - v. Let r = -5.7 + 6. What is the closest to -3/2 in f, -4, r? r Let s = -11 + 11. Suppose 4*t + t - k = 12, -4*t - 4*k = 0. Which is the closest to s? (a) t (b) 2/5 (c) 4 b Let y = -4.6 + 1.6. Let g = -4 + 1. Let i = g + 4. Which is the nearest to i? (a) y (b) -1 (c) 3/4 c Suppose -9 = 4*k - 1. Let w be -2 - k*11/8. Let u = -178/399 - -1/57. What is the closest to 0 in 5, u, w? u Let j(h) = -h**3 + 9*h**2 - 7*h - 11. Let w be j(8). Let n = -3 - w. Which is the nearest to n? (a) 2 (b) 3 (c) 1 c Let h be 3 + (-1)/(3/3). What is the closest to h in -2/3, -0.1, 4/5? 4/5 Let g = -0.74 + 0.34. What is the closest to 1 in 2, g, 3? 2 Let t be (-22 + 17)*(-2)/(-55). Let l = -2.9 - -3. What is the nearest to l in 2/7, 5, t? 2/7 Let r = -11.1 - -11. Which is the nearest to -1? (a) r (b) -0.2 (c) 3 b Let y = -40 - -25.5. Let z = -15 - y. What is the nearest to 1 in -0.2, z, 1? 1 Let n = -0.08 + 0.38. Let o = n - 1.3. Let i be 36/8 - 2/(-4). Which is the closest to 0.1? (a) i (b) -5 (c) o c Let r = -331/2067 - -1/159. Which is the closest to -1? (a) 5 (b) 1/2 (c) r c Let s = 7 - 6. Let q = -241/4 + 61. Suppose 5*h - 5*p = -20, -h - 2*p = 5 - 1. Which is the nearest to s? (a) q (b) -2 (c) h a Let t = 0.08 + 0.92. What is the nearest to t in -0.2, -0.5, 0.2? 0.2 Let y = -0.07 + 0.37. Which is the closest to 3? (a) -0.2 (b) y (c) -3 b Suppose 7 - 7 = -2*z. Which is the nearest to z? (a) 5 (b) 0.5 (c) -1 b Let r = -0.5 + 0.4. Let c = r + 4.1. Let l = c + -5. What is the closest to -1 in 0, 4, l? l Let i be 3/(-2) - (1 + -5). What is the nearest to -1 in 2/9, i, -2? -2 Let y = 0.06 + 0.14. Let i = 28.3 + -28. Suppose -2*o + 1 = 3. What is the closest to o in -0.5, y, i? -0.5 Let d = 1.135 + -0.135. What is the nearest to 1 in 1/5, d, 9? d Let u be 2/6 + 7/(-3). Let m be (u/(-22))/(4/(-8)). Let q = 14 + -13.7. Which is the closest to q? (a) 0.4 (b) 2/7 (c) m b Let t = 8198 - 196897/24. Let k = -35/8 - t. Which is the nearest to -1? (a) -1/9 (b) k (c) -0.1 a Let j = 0.146 + -0.146. Which is the closest to j? (a) 3 (b) 1/5 (c) -3/8 b Let k = 23 + -19. What is the closest to -1 in -5, -4, k? -4 Let z(w) = 5*w + 14. Let k(y) = 14*y + 41. Let m(g) = -6*k(g) + 17*z(g). Let v be m(6). Which is the nearest to 2/5? (a) v (b) 0.3 (c) -1 b Let j = -1/104 + 421/520. Which is the closest to 5/4? (a) 2/7 (b) -1/10 (c) j c Let c(h) = -h - 1. Let i be c(5). Let m = -11 - i. Let f = 0.8 + 0.2. What is the closest to f in 0.3, 0.1, m? 0.3 Let j be -5*((-24)/(-5) - 4). Let y be ((-3)/2)/(-1)*2. What is the nearest to 0.1 in -2/3, y, j? -2/3 Let j(i) = i**3 - i**2 + i - 1. Let h be j(1). Let b = -0.29 - -0.79. What is the closest to h in -1/6, -0.3, b? -1/6 Let q = -66.8 + 67. Which is the closest to q? (a) -1/2 (b) 1/6 (c) 1/4 b Let l = -0.04 - -6.04. Let d = -0.029 - 5.871. Let v = l + d. Which is the nearest to -0.1? (a) -5 (b) 2 (c) v c Let m = -0.02 + -0.04. Let x = 1.06 + m. Let v = x + -1.4. Which is the closest to 2/3? (a) v (b) -2 (c) -0.3 c Let u = 185 + -548/3. Let i = 64 + -63.9. Which is the closest to i? (a) u (b) 4 (c) 0.1 c Let u = -13 + 13.2. What is the nearest to 1 in u, 3, 1? 1 Let u = 3 + -2. Let d be ((-1)/6)/(u/(-2)). Let j = 0.1 + -0.2. Which is the nearest to d? (a) j (b) -4 (c) 1 a Let a be 4/(-6)*(-18)/4. Let w be (-1)/3 - 6/(-9). What is the closest to -0.1 in w, -0.4, a? -0.4 Let z = -3 - 0. Let l = 0.9 + -4.9. Let g = 1.1 - 1. Which is the nearest to g? (a) z (b) l (c) -5 a Let z = -11 - -11.12. Let l = z - -0.38. Let j(t) = t**2 - 3*t - 4. Let s be j(3). Which is the closest to 2/7? (a) 1 (b) s (c) l c Let l = -2 + 2.1. Let u = 0.1 - l. Let p(v) = v**2 - 9*v - 2. Let y be p(9). What is the nearest to u in 3/8, y, 5/4? 3/8 Let c be 93/5 + (-18)/(-45). Suppose 5*v - 4 = -c. What is the nearest to 0.4 in -1, v, -1/2? -1/2 Let s = 1.14 + -4.14. What is the nearest to 0.3 in -9, s, 3? 3 Suppose -2 + 0 = -2*a. Let b be 0/(-1)*-1*a. What is the nearest to 0 in b, -2, -3? b Let p be (-2)/6 + 5494/48. Let g = -114 + p. Let m = -0.26 - 0.14. Which is the nearest to 0.1? (a) g (b) -0.2 (c) m a Let n = -1.1 + 1. Let o = -42 + 30. Let p = 17 + o. Which is the closest to n? (a) p (b) 2 (c) 0.2 c Let v = 1363 + -2667/2. Let b = -30 + v. What is the closest to -1 in b, 1/2, 0.3? b Let q = 1 - 1. Let z = 6/1775 - -83064/1775. Let j = z + -48. What is the closest to -1/2 in j, q, 0.3? q Let s = 0.06 + 2.14. Let t = s + -0.2. Let x = 0.2 + 0. Which is the nearest to t? (a) -2 (b) x (c) 1/6 b Let s = 28 + -163. Let t = s + 543/4. What is the closest to 2/7 in -2/7, t, -3? t Let g = -2 - -1.7. Let x = 0.9 - 4.9. Let c = x + 7. What is the nearest to 0 in g, c, 1/5? 1/5 Let c = 5 + -4. Let l = c + -0.5. What is the closest to -0.2 in 0, 0.3, l? 0 Let w = 5/226 - 1809/15368. Let x = -1/34 + w. Which is the closest to 2? (a) x (b) -0.5 (c) -0.3 a Let h = -0.8 - -5.8. Let f = 661/2 - 330.
{ "pile_set_name": "DM Mathematics" }
-2880 Simplify sqrt(10)/(sqrt(605)*2 + sqrt(605)) - (sqrt(72) + (0 + -1*sqrt(72))**2). -72 - 197*sqrt(2)/33 Simplify (((-2 + sqrt(2))*-5)**2 + 1 + 3 + (3*sqrt(8) - sqrt(2)))*-1. -154 + 95*sqrt(2) Simplify (6*sqrt(72)*-2)/((sqrt(180)*-1)/sqrt(5)). 12*sqrt(2) Simplify (-4*(sqrt(77) - sqrt(77)*-4*6))/(sqrt(28) + 1*sqrt(28)*1 - sqrt(28)). -50*sqrt(11) Simplify 5 + (sqrt(42)/(sqrt(6) - (sqrt(294) - sqrt(6))))**2 - (3*3*sqrt(84))/sqrt(12). -9*sqrt(7) + 132/25 Simplify ((1*sqrt(684)*2 - (sqrt(684) + sqrt(684) + 4 + sqrt(684) + sqrt(684) + 3)) + 0)**2. 168*sqrt(19) + 2785 Simplify ((sqrt(256)/(sqrt(8) - sqrt(8)*-3))/sqrt(8))/(3*sqrt(32)*-6). -sqrt(2)/288 Simplify -5*(2 + (3 + (sqrt(126)/sqrt(3))/sqrt(6))**2)*-4. 120*sqrt(7) + 360 Simplify (sqrt(228)/(sqrt(1452)*-1) + -3 + (-4*sqrt(114)*1)/(sqrt(6) + sqrt(162)/sqrt(3)))**2. 72*sqrt(19)/11 + 3825/121 Simplify (-3*(-5*(1 + sqrt(432)) + -4)*-1 + 5)**2. 7920*sqrt(3) + 97684 Simplify (-4 + ((-1 + sqrt(1053))*-3 - (sqrt(1053) + (sqrt(1053) + 2)*-1)))**2. -54*sqrt(13) + 9478 Simplify ((((sqrt(135) - -1*sqrt(135))*5)/sqrt(9))/(sqrt(108)*1*-3 + sqrt(108) + sqrt(108)))**2. 125/9 Simplify (sqrt(416)*2*5)/((sqrt(18) - ((sqrt(18) + -2*sqrt(18))*-1 - sqrt(18))) + sqrt(18)). 20*sqrt(13)/3 Simplify (6*1*sqrt(6) - sqrt(6))/sqrt(3) + sqrt(1152) + 2. 2 + 29*sqrt(2) Simplify (3 + sqrt(11) + (2 + sqrt(11) + sqrt(11) - sqrt(11)) + sqrt(11))*3 - (1 + sqrt(1584) + 1). -3*sqrt(11) + 13 Simplify (((sqrt(104) - (sqrt(104) + (sqrt(104) - (sqrt(104)*5 + sqrt(104)))))*-4)/(sqrt(800) + sqrt(800)*4 + sqrt(800) + sqrt(800)))**2. 52/49 Simplify (-4 + 0 + (sqrt(720) - (-4 + (sqrt(720)*-1)**2)))*6. -4320 + 72*sqrt(5) Simplify sqrt(17) + (sqrt(17)*-3 - sqrt(17)) + -3 - (1 + sqrt(1088)) - 1*(sqrt(1377) + 0)*-2. -4 + 7*sqrt(17) Simplify -2*(2*sqrt(864))/(3*sqrt(32) + (sqrt(2) - (sqrt(2) + sqrt(4)/sqrt(2)))*6). -8*sqrt(3) Simplify -6*(1*(2 + -2*sqrt(180)*-5 + 5))**2. -108294 - 5040*sqrt(5) Simplify (5 + 4*(-5*((1 + sqrt(7) - sqrt(7)) + -5) + 2))**2. 8649 Simplify -2*(sqrt(2)*-1 + -4) - 4*sqrt(8)*4. -30*sqrt(2) + 8 Simplify (1 + sqrt(3))*-5*-2 + (-2*sqrt(288) - sqrt(18))/sqrt(6) + 5. sqrt(3) + 15 Simplify 4 + sqrt(56)/(-1*sqrt(288) - sqrt(2))*-2 + 4. 4*sqrt(7)/13 + 8 Simplify (3*(sqrt(52) - sqrt(4212)*1) - (-5 + sqrt(52) + -1 + sqrt(7488)))**2. -888*sqrt(13) + 71224 Simplify -6*((sqrt(5) - (sqrt(125) + 1)) + sqrt(605)*-6). 6 + 420*sqrt(5) Simplify (-3*(-2*sqrt(363) + 5) - ((sqrt(363) + 2*sqrt(363) - sqrt(363)) + sqrt(363) + 3 + -1 + sqrt(363) + 0))**2. -748*sqrt(3) + 1741 Simplify sqrt(720)*4 - sqrt(60)/(sqrt(144)/(sqrt(36)/sqrt(3))). 47*sqrt(5) Simplify -3*sqrt(44)/sqrt(4)*2 - 5*(sqrt(88) - (2*sqrt(88) + sqrt(88)) - sqrt(88) - sqrt(88))/sqrt(8). 14*sqrt(11) Simplify (3*(sqrt(26) + sqrt(416)*6))/((sqrt(242) + (sqrt(242) - 1*sqrt(242)) - sqrt(242)) + -1*sqrt(18)). -25*sqrt(13) Simplify 5 + (2*((2 + sqrt(363))*1 - ((1*sqrt(363) - sqrt(363)) + sqrt(363))*-6))**2. 1232*sqrt(3) + 71169 Simplify ((sqrt(704) + (sqrt(704)*1 - sqrt(704)))*-3 + -2)**2 + -1 + 4. 96*sqrt(11) + 6343 Simplify (-2*sqrt(847) + -5 - (-4 + -1 + sqrt(847))**2 - (4 + (sqrt(847) - (1 + sqrt(847))))*-1) + -3. -877 + 88*sqrt(7) Simplify ((sqrt(120)/sqrt(6) + sqrt(20))*6 + -2 + -3)*-5 + -3. -120*sqrt(5) + 22 Simplify (5*(sqrt(125) + 3 + sqrt(125) - sqrt(125)) + sqrt(125))**2 + sqrt(125) + (sqrt(125) - sqrt(125)*2)**2 + 0. 905*sqrt(5) + 4850 Simplify 1*(sqrt(153)*-4*-4)/(-3*sqrt(1296) - sqrt(1296) - sqrt(1296) - sqrt(1296)). -2*sqrt(17)/9 Simplify 2*(-2*sqrt(2432)*-1 - sqrt(2432))/((sqrt(98) - (-1*sqrt(98) + sqrt(98)))*-3 + sqrt(98)). -8*sqrt(19)/7 Simplify (sqrt(45)*-3 + 3*sqrt(500))*-3. -63*sqrt(5) Simplify (-5 + 2 + sqrt(1792)*-1*-1)**2. -96*sqrt(7) + 1801 Simplify (sqrt(288) - (3 + sqrt(288)))*-3*5. 45 Simplify (-5*(5 + sqrt(147)*-1 + 2)*2 + 0)**2. -9800*sqrt(3) + 19600 Simplify -6*(sqrt(900)*-1 + sqrt(25))/(sqrt(500) - -1*sqrt(500))*-6. -9*sqrt(5) Simplify -1 + ((-1*sqrt(700) - sqrt(700) - (sqrt(7)*1 + -2)) + (6*sqrt(42)/sqrt(2))/sqrt(3))**2. -60*sqrt(7) + 1578 Simplify (sqrt(153) + 1 - (-3 + sqrt(51)/sqrt(3)))**2 - (sqrt(119)/(sqrt(1225)/sqrt(7)))**2. 16*sqrt(17) + 2083/25 Simplify -4 + ((((-2*sqrt(209) - sqrt(209) - sqrt(209))*-3 - sqrt(209)) + sqrt(209) - sqrt(209)) + sqrt(209))/(sqrt(99)/(sqrt(9) + -3*sqrt(9))). -24*sqrt(19) - 4 Simplify (-2*sqrt(1274))/(sqrt(10)/sqrt(5)*2) + 3. -7*sqrt(13) + 3 Simplify 6*(((sqrt(2) - sqrt(18)*6) + sqrt(18)/sqrt(81))**2 + -4). 9928/3 Simplify -2*(-3 + sqrt(17)*-2) - (4*sqrt(51)/sqrt(3) - (2*sqrt(68))/sqrt(4)). 6 + 2*sqrt(17) Simplify (sqrt(833) - (sqrt(833) + 1) - (sqrt(17) - 1*sqrt(833)))**2 - (sqrt(68)/sqrt(4)*-2 + -4 + sqrt(272)). -14*sqrt(17) + 617 Simplify (sqrt(91) - 4*sqrt(91)*2)/(sqrt(49)/(sqrt(7)*-1)). 7*sqrt(13) Simplify 5 + (((sqrt(304) + 0)*-5 + sqrt(304) - sqrt(304)) + 5)**2. -200*sqrt(19) + 7630 Simplify (sqrt(250)/(sqrt(10)/sqrt(2)))**2 + (sqrt(4)/(sqrt(10)/sqrt(5)) + 5)**2. 10*sqrt(2) + 77 Simplify -5 + ((sqrt(36) + 6*sqrt(72)/sqrt(2))/(sqrt(48)/sqrt(4)*-1))**2. 142 Simplify ((-4 + sqrt(176)/sqrt(4))*3 - -3*(sqrt(88) + 1*sqrt(88)*-6 + sqrt(88) + sqrt(88))/sqrt(8))**2. 72*sqrt(11) + 243 Simplify (sqrt(132) + sqrt(132)*-2*1 + sqrt(132) + sqrt(132) - sqrt(132))/(-6*(sqrt(12)*-2 - sqrt(12))) + -1 + (sqrt(99) - (3 + sqrt(99) + 0 + sqrt(99)))**2. 18*sqrt(11) + 107 Simplify -1 + -6*(0 + -1*(5 + sqrt(68)/sqrt(196))). 6*sqrt(17)/7 + 29 Simplify (2 + -3*sqrt(45) + sqrt(15)/(sqrt(21)/(sqrt(7) + sqrt(7) + sqrt(63))))**2. -16*sqrt(5) + 84 Simplify (3*1*sqrt(77) - sqrt(77))/((sqrt(44)*-4)/sqrt(4)). -sqrt(7)/2 Simplify (-4*(sqrt(2420) + sqrt(2420)*1))/(((2*sqrt(264) - sqrt(264))/sqrt(6))/sqrt(11)). -88*sqrt(5) Simplify 0 + (2 + 2 + sqrt(2448))**2 + 4. 96*sqrt(17) + 2468 Simplify -3 + 1*sqrt(13) + -5 - ((-6*(sqrt(13) + sqrt(13) + 0))**2 + (2*sqrt(117) + sqrt(117))**2). -2933 + sqrt(13) Simplify (3*(0 + sqrt(63))*5 + -1)**2*4. -360*sqrt(7) + 56704 Simplify sqrt(28)/(-3*sqrt(16)) + sqrt(56)/(3*sqrt(200)). -sqrt(7)/10 Simplify -5*(-1 + ((((sqrt(539) - (sqrt(539) - (-3*sqrt(539) - sqrt(539))))*-4 - sqrt(539)) + sqrt(539))*-5)**2). -17247995 Simplify ((sqrt(11) - 6*(sqrt(11) + -3)) + -1 + (sqrt(11) + 1 + 0 - (sqrt(44)/sqrt(2))/sqrt(2)))**2. -180*sqrt(11) + 599 Simplify (sqrt(24)/(sqrt(9)/sqrt(3))*6)/(2*(-6*sqrt(8)/sqrt(2) - sqrt(4))). -3*sqrt(2)/7 Simplify (-2*sqrt(35)*-4)/((sqrt(360)/sqrt(8))/sqrt(9)). 8*sqrt(7) Simplify (2 + ((sqrt(28)*2)/sqrt(4))**2)*-6 - (4 + (sqrt(567) + 1 + sqrt(567) + 2)**2). -2461 - 108*sqrt(7) Simplify (sqrt(440)/(-4*(sqrt(90) + sqrt(10)) - sqrt(10)))/((sqrt(4) + 2*sqrt(144) - sqrt(4))*5). -sqrt(11)/1020 Simplify sqrt(128)*-5 + sqrt(20)/sqrt(10) + -1 + -5. -39*sqrt(2) - 6 Simplify (sqrt(1440)*-1 + sqrt(1440) + sqrt(1440))/sqrt(2) + sqrt(245) + sqrt(245) + -1 + 1 + sqrt(245). 33*sqrt(5) Simplify 2*(1 + sqrt(88)/(sqrt(8) - sqrt(32)/sqrt(4) - sqrt(8))) + (-2 + 3 + sqrt(11) - (sqrt(11) - (-1*sqrt(1331) + sqrt(1331)))). -2*sqrt(11) + 3 Simplify 3 + (-3*((-2*sqrt(126))/sqrt(7) + 1))**2 + 0. -108*sqrt(2) + 660 Simplify -2*(5 + 6*((sqrt(17) + -1)*-6 + -5 + sqrt(17) + 1)). -34 + 60*sqrt(17) Simplify (3 + (-2*((sqrt(847) + -1 - sqrt(847)) + sqrt(847)))**2 + (sqrt(847) + (sqrt(847) - (-4 + sqrt(847)*2)))**2)*-2. -6822 + 176*sqrt(7) Simplify 1*(-4 + 0 + sqrt(2420)) + 1. -3 + 22*sqrt(5) Simplify sqrt(119)/(sqrt(14)/sqrt(2)) + (1*sqrt(51))/sqrt(3) + (3*-2*sqrt(187))/sqrt(11). -4*sqrt(17) Simplify (4*4*-2*sqrt(153))/(sqrt(90)/((sqrt(40) - sqrt(10))*-4)). 128*sqrt(17) Simplify -3*(2 + sqrt(2)) + -1 + sqrt(72) + (sqrt(2) + (sqrt(2) + 2)*4)**2 + 2. 109 + 83*sqrt(2) Simplify ((((sqrt(385) - 1*sqrt(385))*-4)/sqrt(7))/((sqrt(5) - sqrt(20)/sqrt(4))*-1 - 2*sqrt(5)*-5))**2. 0 Simplify ((sqrt(475) - (sqrt(475)*-3 + 1)) + -4*(sqrt(475) + -3) + sqrt(475))**2. 110*sqrt(19) + 596 Simplify (sqrt(112) + sqrt(112) + sqrt(112) + 1*sqrt(112)*2)**2 - -3*-5*sqrt(63). -45*sqrt(7) + 2800 Simplify (5*(4 + 1 + sqrt(14)/(sqrt(35)/sqrt(5)))*2)**2. 1000*sqrt(2) + 2700 Simplify (-3 + -6*(3 + sqrt(17) + 0 - (-4 + sqrt(153))))**2. -1080*sqrt(17) + 4473 Simplify (sqrt(39) + (sqrt(39) - 6*(sqrt(4719) + sqrt(39))))/(((sqrt(30)/sqrt(10) - sqrt(3)) + sqrt(3))*-3). 70*sqrt(13)/3 Simplify (sqrt(1300) - (sqrt(1300) + (sqrt(1300) - -4*sqrt(1300)) + 4) - (sqrt(1300)*4)*
{ "pile_set_name": "DM Mathematics" }
22. Calculate the remainder when 84 is divided by r(7). 26 Let p = -21 + 135. Calculate the remainder when p is divided by 9. 6 Suppose 0*h - h = 37. Let v = h - -65. Let f = -1509 - -1619. Calculate the remainder when f is divided by v. 26 Let y(x) = 34*x**2 + 2*x - 2. Let s be y(-2). Let r = s - 70. What is the remainder when r is divided by 16? 12 Suppose -p - 10 = -t + 5, -5*p = 3*t - 69. Suppose -3*z = -t - 63. What is the remainder when z is divided by (0 - 0)/1 + 7? 6 Let h be -2 - (-3)/(3/(-49)). Let n = -26 - h. Let x = 101 + -94. Calculate the remainder when n is divided by x. 4 Suppose -34*q + 36*q - 758 = 0. What is the remainder when q is divided by 98? 85 Let o(h) = -6*h**3 - 13*h**2 + 4*h - 7. What is the remainder when o(-5) is divided by 31? 26 Suppose -18 = 36*z - 41*z - 4*h, 2*z + h = 9. Suppose -7*i = -3*i + 36. What is the remainder when (i/(-5))/(1/5) is divided by z? 3 Suppose 5*f - 73 = 47. Suppose -25*j + f = -21*j. What is the remainder when 21 is divided by j? 3 Suppose 114 = 2*p - 2*u, 2*u + 188 = 3*p + 17. Let n = 146 + -136. Calculate the remainder when p is divided by n. 7 Let d(l) = 5*l**2 + 2*l - 1. Suppose y + 5*w = 34, -2*y = -w - 6 - 7. Calculate the remainder when y is divided by d(1). 3 Let c be (-374)/(-33) + 4/6. Suppose z - 18 = -z. Calculate the remainder when 2/8 - (-297)/c is divided by z. 7 Let v(d) = -8*d - 9. Let m be v(-5). Suppose 4*k - 45 = m. What is the remainder when k is divided by 7? 5 Suppose -n + 23 = x, -82 = -3*n - 2*x - 12. Calculate the remainder when 75 is divided by n. 3 Suppose 0*a + 16 = 2*a. Let o = a - -8. Calculate the remainder when 371/8 - (-42)/(-112) is divided by o. 14 Suppose 0 = 4*s - 3 - 5. Suppose -5*u - k + 30 = 0, 3*u = 7*u + 2*k - 24. What is the remainder when 19 - s*-1*1 is divided by u? 3 Let r = 906 + -892. What is the remainder when 360 is divided by r? 10 Suppose -42 = -4*r - 3*x, -4*r + 2*x - 15 = -67. What is the remainder when 35 is divided by r? 11 Suppose 2*r + 8*r - 940 = 0. Let a = r - -79. What is the remainder when a is divided by 44? 41 Let a(p) = -p**3 - 9*p**2 - 9*p + 4. Let z(r) = -3*r - 19. Let g be z(-8). Suppose -g*y + 230 = -0. Calculate the remainder when y is divided by a(-8). 10 Let i = 573 + -485. What is the remainder when i is divided by 10? 8 Suppose 38*x - 59*x + 1953 = 0. What is the remainder when x is divided by 25? 18 Calculate the remainder when (-460)/(-4) + 6 + -7 is divided by 23. 22 Let l(a) = -4*a + 35. Let v be l(9). Calculate the remainder when 1/6 - (v + 426/(-36)) is divided by 5. 3 Suppose 0 - 13 = -2*w + 5*a, -4*w + 66 = -2*a. Let k = 12 - w. Let g = k - -18. What is the remainder when 30 is divided by g? 8 Let p = -18 + 24. Suppose -g + 5*o = -p*g, 5*g - 4*o = -9. Calculate the remainder when 19 is divided by -4 - (g + -14 - 0). 8 Calculate the remainder when 16 is divided by ((-54)/(-4))/3*(-64)/(-48). 4 Let f = 300 + -292. Calculate the remainder when 35 is divided by f. 3 Let u(o) = 2*o**2 - 5*o + 1. Let c be u(7). Suppose c = 2*n - 6. What is the remainder when n is divided by 18? 17 Suppose 3*b - 80 = -5*v, v + 58 = 5*b - 38. Calculate the remainder when 67 is divided by b. 7 Let g be (0 - (5 + -1))/(-2). Suppose g*k - z = -k + 71, -2*k + 66 = 4*z. Calculate the remainder when k is divided by 13. 12 Suppose 4*f - 3*c - 59 = 0, -2*f + 28*c - 30*c + 26 = 0. Suppose 0 = 2*m - 5*m + 24. Calculate the remainder when f is divided by m. 6 Let v(i) = 32*i + 417. What is the remainder when v(-11) is divided by (-1)/2 + (-46)/(-4)? 10 Let w = 2166 - 1872. Calculate the remainder when w is divided by 102. 90 Let g = -12 - -9. Let l be -6*(-4 - 11/g). Suppose -21 + 97 = l*w. Calculate the remainder when w is divided by 13. 12 Let o = -56 - -88. Calculate the remainder when o is divided by 9/((-30)/(-8) + -3). 8 Suppose -4*m - 4*t + 44 = 0, 23*t - 18*t = 2*m - 43. Calculate the remainder when 401 is divided by m. 9 Let u be -2*(1/(-1) - 0). Suppose -11 = -u*n - 3. Suppose n + 6 = 2*s. What is the remainder when s is divided by 2? 1 Let p(y) = y**3 - 2. Let d be p(2). Let j(z) = 8*z - 8. Calculate the remainder when j(d) is divided by 21. 19 Let v be (-93)/(-2) + (-15)/10. Let m = -36 + v. What is the remainder when m is divided by 3*(-1*2)/(-2)? 0 Let j = 49 + -32. Suppose -j*v - 725 = -22*v. What is the remainder when v is divided by 37? 34 Suppose 5*o + 8*o - 416 = 0. What is the remainder when o is divided by ((-22)/(-4) + 0)*2? 10 Suppose 459 = 8*p - 5*p. Calculate the remainder when p is divided by 22. 21 Let d = 2 - -7. Let i be -3 + -10*(-3 - 1). Suppose 3*t - i = 65. What is the remainder when t is divided by d? 7 Let i(s) = s**3 + 2. Let k be i(0). Suppose 2*m = m + 3*q + 55, 0 = -5*m + k*q + 249. Let h = m + -3. Calculate the remainder when h is divided by 24. 22 Let f = 31 + -6. Let m = -4 + f. Calculate the remainder when m is divided by (-49)/(-6) + 1*(-1)/6. 5 Suppose -44*d + 1598 = -10*d. Calculate the remainder when 171 is divided by d. 30 Let l = -91 - -23. Let k = l - -78. Calculate the remainder when 48 is divided by k. 8 Let m(l) = 11*l - 16. Calculate the remainder when m(6) is divided by 13. 11 Suppose -2*h + 42 = 2*q, -3*q + 3*h - 31 = -4*q. Let y be 2*-1*(-57 + -1). Suppose 0 = -l + 5*l - y. Calculate the remainder when l is divided by q. 13 Let u = 29 - 28. What is the remainder when (-1 + u/3)*-21 is divided by (1/1)/(3/15)? 4 Calculate the remainder when (-28)/(-210)*-6 - (-734)/5 is divided by 74. 72 Let h = 121 + -172. Let p = h - -60. Calculate the remainder when 31 is divided by p. 4 Suppose -2*w = 7*p - 6*p - 15, -p - 4*w + 15 = 0. Suppose 11*d - 8*d = p. What is the remainder when 13 is divided by d? 3 Let s(j) = -3*j + 1. Suppose 15*c - 80 = 5*c. Calculate the remainder when s(-15) is divided by c. 6 Calculate the remainder when (-1096)/(-4)*(-9)/(-18) is divided by 74. 63 Suppose 9*h - 4*h = -20. Calculate the remainder when 1/2*((-20)/h - -173) is divided by 31. 27 Let s(r) = 0*r**3 + 2 + 0*r**3 - 2*r**2 + r**3. Let t be 7 - 4 - 4 - -4. Calculate the remainder when 21 is divided by s(t). 10 Suppose -28 = h - 5*h. Suppose -43 = -2*d + j - 4, 2*j = -6. Calculate the remainder when d is divided by h. 4 Suppose -36*n + 498 = -30*n. What is the remainder when n is divided by 44? 39 Let s(j) = j**2 + 5*j + 2. Let v be s(-5). Suppose 4*q - v = 18. Suppose -5*x - 2*c = -49, -q*x + 3*c + 30 = -x. What is the remainder when 17 is divided by x? 8 Let t be (-8)/(-6) + 1938/18. Suppose 131 + t = 5*o. Suppose g + o = 7*g. Calculate the remainder when 31 is divided by g. 7 Suppose -5*h = 5*n - 130, 2*h - 2*n = 3*h - 28. Let t = -266 + 255. Let m(a) = a**3 + 10*a**2 - 10*a + 18. What is the remainder when h is divided by m(t)? 3 Let p be -6 + 4 - (-2 + 0). Suppose 2*c - 44 = -5*t, -5*c + 4*c + t + 8 = p. Suppose 0*o + 3*o - 135 = 0. Calculate the remainder when o is divided by c. 9 Suppose -88 = -q + 15. Let k = q + -38. Calculate the remainder when k is divided by 34. 31 Let t(d) be the second derivative of -d**5/20 - d**4/4 - 5*d**3/6 - 13*d**2/2 - 22*d. Calculate the remainder when t(-4) is divided by 5. 3 Suppose 31 = d - 10. Let v be (8/(-8))/((-115)/(-58) + -2). Suppose 4*c + z = 53, 5*c + 15*z - 11*z - v = 0. Calculate the remainder when d is divided by c. 13 Let m(b) = 7*b - 12. Let i = -19 + 7. Let q = i - -18. What is the remainder when q is divided by m(2)? 0 Let k = 12 - 5. Suppose 8*c + 378 = 15*c. Calculate the remainder when c is divided by k. 5 Let c = 786 + -558. What is the remainder when c is divided by 75? 3 Let u = -30 + 35. Suppose -u*v = -4*z + 50, -3*z + 3*v + 13 + 26 = 0. Calculate the remainder when 59 is divided by z. 14 Let o = 22 + -18. Suppose -12 = -2*b + y, o*b = 5*y + 11 + 7. What is the remainder when 47 is divided by b? 5 Let m(j) = -j**3 + j**2 + j + 168. Calculate the remainder when m(0) is divided by 9. 6 Let r = 387 + -338. Suppose w + w = -8. What is the remainder when r is divided by 126/10 + w/(-10)? 10 Let r(u) = 6*u**2 - 3*u + 3. Let z be r(2). Let n(y) = -2*y**3 + 40*y**2 + 46*y - 28. Calculate the remainder when 278 is divided by n(z). 54 Suppose 0*a = 4*a + 3*d - 83, -a = 5*d - 42. Suppose 2*v + 2*v = -5*q + 332, 5*v + 2*q - 415 = 0. Let k = -77 + v. What
{ "pile_set_name": "DM Mathematics" }
6. -10424.6 Total of -0.3 and 1.108. 0.808 Sum -2.2 and -0.0072. -2.2072 What is 11398 plus 1? 11399 Sum -0.05 and 6201. 6200.95 17+-9.8 7.2 Total of 4.34 and -1561.5. -1557.16 What is the difference between -232 and 7? 239 Calculate -4802 + 27. -4775 What is 14 take away 4.4678? 9.5322 Work out 0.08 - 2703. -2702.92 Calculate -59 - 1.1. -60.1 -3+2323.5 2320.5 -9 - 1.14 -10.14 What is 282.9 take away -0.081? 282.981 Calculate 0.7 - -1141. 1141.7 What is -204 less than 0.4? 204.4 Calculate -3 + -0.16. -3.16 Add together 26 and -84. -58 Put together -0.2 and -23.65. -23.85 What is the distance between -4566 and -831? 3735 Add 132 and -38373. -38241 Sum -0.7 and -11488. -11488.7 Work out -142.602 - -2.1. -140.502 Work out 321.5 - -1. 322.5 0.007 + 412 412.007 What is 9 minus 25? -16 What is the distance between -15.63 and 4.9? 20.53 What is 5 - 0.062759? 4.937241 What is -12 - -0.14384? -11.85616 3.854 - 5 -1.146 What is 12.5074 - -10? 22.5074 5 - 728 -723 What is 10.83683 take away 0.5? 10.33683 What is -682 - 90.96? -772.96 Add -32 and 0.705. -31.295 Sum 3.46 and -6435. -6431.54 Work out 11 - 0.57. 10.43 What is 6 less than -0.0206? -6.0206 What is the distance between -220.6 and -70? 150.6 What is the difference between -2389 and -0.027? 2388.973 What is -4 plus -1134? -1138 What is 0.06 - 108159? -108158.94 Add 0.32 and -90.6. -90.28 Sum -70 and 18191. 18121 What is -1.1 - 0.097? -1.197 Calculate 0.227 + 0.043. 0.27 Sum 1 and 7442. 7443 -1889 + -4.847 -1893.847 Subtract 382.37 from -0.3. -382.67 0.003 - 68 -67.997 Calculate 8 + -201.98. -193.98 What is the difference between -98.6 and 182? 280.6 What is 6 - 74.65? -68.65 25728 + 0.166 25728.166 What is 0.817 less than -2? -2.817 -206952 - -0.3 -206951.7 0.0077+0.0177 0.0254 Add together -0.1 and -19750. -19750.1 46.0297 - 0.4 45.6297 Put together -2.42 and -1.124. -3.544 Total of -118.2 and 0.5. -117.7 Calculate 172 + -0.07. 171.93 What is 2 less than -63.3? -65.3 Sum 7 and 57.0951. 64.0951 Put together 3 and -581. -578 Subtract 6.62 from 17. 10.38 What is -2.331 take away 4? -6.331 What is -13 less than -162? -149 What is -1240 take away 0.3? -1240.3 Put together 4039 and -45. 3994 Subtract -35 from 31.19. 66.19 -794416+-0.01 -794416.01 Work out 4 - 209.4. -205.4 Sum -73 and -74084. -74157 Add together 2 and 2449.94. 2451.94 Calculate 1 - 486. -485 What is -84106 - -0.3? -84105.7 What is -0.2 plus 20375? 20374.8 Work out 0.128 - 13.439. -13.311 Work out -73 + 1468. 1395 Work out 229 - -0.01. 229.01 What is the difference between -63 and 3030? 3093 Work out -6 + 0.965. -5.035 Calculate 0.01551 - -0.4. 0.41551 What is the distance between -0.5 and -41714? 41713.5 Work out 32 - -7. 39 0.0622 - 774 -773.9378 Put together -33 and -41. -74 What is -0.7 - -19.85? 19.15 Sum -1 and -2412.1. -2413.1 What is the difference between 10824 and -0.4? 10824.4 Work out -67 - -151. 84 Calculate -4 + -0.094168. -4.094168 Total of -0.5 and 244. 243.5 0.4 - -2789075 2789075.4 Sum 1 and -6069.5. -6068.5 -2 - 60 -62 Put together 1420 and -2. 1418 Add together -0.1 and 33308. 33307.9 Calculate -0.2 + -514.181. -514.381 Work out -6406286 - 0.1. -6406286.1 -62.354 + 5 -57.354 What is 165 minus 0.257? 164.743 5+3873 3878 What is -1 less than -10004? -10003 Add -19 and 16. -3 What is -0.0153 + 0.05? 0.0347 What is 57.178 - 0.5? 56.678 What is -191.2 - 19.1? -210.3 What is -0.2 take away -118.8? 118.6 Total of -11 and 64157. 64146 Work out -26 - 381. -407 Sum -0.072 and -1. -1.072 What is 6 take away 41935? -41929 Work out 4 - -786472. 786476 What is 1 - 7.202? -6.202 Add together -5 and 89.4. 84.4 Total of -0.09603 and -5. -5.09603 Sum -16 and 54716. 54700 Calculate -0.173432 + -2. -2.173432 Calculate -27 + 5078. 5051 -34 + -222198 -222232 What is 3909 - -0.4? 3909.4 Work out 0.15793 - -0.098. 0.25593 Add -419 and -0.9. -419.9 Work out 0.2 - 5000.4. -5000.2 Calculate 5 - 123955. -123950 What is 0.4 take away -58650? 58650.4 Total of -6 and -0.193085. -6.193085 What is 315 plus 21? 336 -0.106 - 1135 -1135.106 What is the distance between 5767 and -2? 5769 Add 0.1237 and -3. -2.8763 What is the difference between 2 and 20414.73? 20412.73 Calculate 3.62 + 6. 9.62 What is -8 less than 19? 27 Work out 1195 + -0.235. 1194.765 What is -0.8 + -0.378? -1.178 Put together -1 and 1358. 1357 What is the distance between 0.2 and -102834? 102834.2 What is 135 + -0.7222? 134.2778 116 + -3385 -3269 What is 0.021946 take away 2.6? -2.578054 Add together -474 and -41. -515 Total of -0.019 and 0.157. 0.138 Calculate -5959 - -11. -5948 Calculate -4 + 603.3. 599.3 Total of -0.3672 and 18. 17.6328 What is -20 less than -24956? -24936 What is the difference between -0.3 and -1704.4? 1704.1 What is the difference between 0.2 and 18.53? 18.33 Subtract 8 from 3917. 3909 Add -0.66 and -15.54. -16.2 What is 9 + -219.34? -210.34 Sum 0.073 and 0.06409. 0.13709 What is -4.2 + -690.8? -695 What is 23878 less than -3? -23881 What is -3 take away 21229.2? -21232.2 What is 0.089071 plus 5? 5.089071 Subtract 59 from -9.3. -68.3 Subtract 0.2 from -2.9826. -3.1826 What is 0.06241 minus -6? 6.06241 What is 0.435 - -5? 5.435 What is -3 less than -35.63? -32.63 What is -1043 take away -39? -1004 -12+-0.1638619 -12.1638619 What is -18.21 less than -1.1? 17.11 Put together 15 and 0.39927. 15.39927 What is -1328.6 - 1.7? -1330.3 What is the difference between -0.05 and 140? 140.05 What is -0.2524 plus 0.1? -0.1524 Calculate 1156 - 2901. -1745 -0.4 - 115712.2 -115712.6 Calculate -5 + -161179. -161184 Add 226 and -0.57. 225.43 104.55 - 0.5 104.05 What is -54.9 - 0.07? -54.97 Add together -7 and -0.1405. -7.1405 Total of 15.16316 and -3. 12.16316 What is 0.465 + -7.03? -6.565 What is 0.016 minus 0.32? -0.304 What is -32068 - 17? -32085 What is -1.141 minus -6? 4.859 What is 11395 minus 49? 11346 Work out 0.086 + 9.12. 9.206 Add together 137 and -31.14. 105.86 What is -3568 + -2.93? -3570.93 Sum -935 and -2. -937 What is 3 less than 6.7? 3.7 What is 920 plus -0.098? 919.902 Subtract 0.5884 from 0. -0.5884 What is 0.183 take away -0.02? 0.203 Add together 0.086 and -0.4. -0.314 Work out -650 - 1.26. -651.26 -3.5+0.1736 -3.3264 134669 - 0.5 134668.5 Subtract -5.6 from -0.1005. 5.4995 What is 554 take away 3.2? 550.8 Add together 386.38 and -0.1. 386.28 What is 9639592 take away 5? 9639587 Calculate 0 + -0.0476. -0.0476 0.4026 + -9 -8.5974 What is -29.4 - -0.393? -29.007 Total of -474 and 40. -434 Put together 538.2 and -101. 437.2 Subtract -8 from -615435. -615427 What is the difference between 125135 and 3? 125132 Work out -0.033 + 0.874. 0.841 Sum -43 and -0.196902. -43.196902 Total of 1 and -1.74971. -0.74971 What is the difference between 3.9 and 0.269? 3.631 Add together 13247 and 0.1. 13247.1 Subtract 3 from 0.070005. -2.929995 What is -5056 + 0.18? -5055.82 Put together 0.2 and -0.311. -0.111 Sum -104.5 and 0.05. -104.45 Subtract -0.17 from -664048. -664047.83 Put together 31 and -239. -208 What is 41531.1 less than 15? -41516.1 What is 0.02449 less than -4? -4.02449 What is -0.049 + -1.28? -1.329 What is the difference between -0.026 and 2144? 2144.026 Work out -0.01324 - -0.1. 0.08676 Subtract 1.56 from -31. -32.56 -29.5 - 23683 -23712.5 2555.684+1 2556.684 What is the difference between -25 and -8? 17 3 + -55017 -55014 36+17814 17850 Calculate 0.5 - -127524. 127524.5 Calculate -132 - -802. 670 Total of 8.6 and -105. -96.4 What is -3.3 take away -0.0023? -3.2977 What is the difference between 13348 and -0.2? 13348.2 Add together -3 and 351. 348 Calculate -0.14 - -32.3. 32.16 Calculate -0.08 + 17.72. 17.64 What is 0.02 + -48938? -48937.98 What is the difference between 0.06 and 31.73? 31.67 What is -24441 minus 0.5? -24441.5 What is the difference between 0.05 and 2.0224? 1.9724 -1141+-0.5 -1141.5 What is 1553 less than 58? -1495 Add 4 and -3.91. 0.09 -6 + 2125 2119 Subtract -2 from 16.2491. 18.2491 -196 - -5.65 -190.35 Add -172948 and 14. -172934 Add together 4.85 and 0.2. 5.05 Subtract -2.7 from 9503. 9505.7 Calculate -0.15 - -415.7. 415.55 Subtract 0.5 from -2.423. -2.923 Total of 42 and -1491. -1449 51853 - -0.004 51853.004 Add -4954 and -0.5. -4954.5 Total of -1762 and 0.3. -1761.7 Work out -499 + -5. -504 What is -126 less than -2? 124 Work out 1164
{ "pile_set_name": "DM Mathematics" }
0 - 665*f**3/6 - f**2 + 30*f - 4. What is the derivative of w(u) wrt u? -6147*u**2 Let m(i) be the first derivative of -i**4 + 82*i**3 + 2472*i - 1646. What is the derivative of m(a) wrt a? -12*a**2 + 492*a Suppose 4 - 84 = -8*z. Suppose 17 + 3 = z*x. Find the third derivative of -4*f**4 - 10*f**4 - 10*f**x - 5*f**2 + 0*f**4 wrt f. -336*f Suppose -6*r - 113 = -701. What is the third derivative of 31*c**2 - r*c**2 + 4 + 30*c**2 + 27*c**2 - 43*c**3 wrt c? -258 Find the third derivative of 1415*r**4 - 3274*r + 558*r**4 + 3267*r + 32*r**2 wrt r. 47352*r Let i(d) be the first derivative of -d**5/30 - 15*d**4/8 - 11*d**3/3 - d**2/2 - 53*d - 17. Let t(p) be the second derivative of i(p). Differentiate t(g) wrt g. -4*g - 45 Let r(z) be the second derivative of -860*z**7/7 + z**4/6 + 1471*z**3/3 - 4794*z. Find the second derivative of r(t) wrt t. -103200*t**3 + 4 Let z(d) be the first derivative of 1133*d**6/6 + 4*d**2 - 8*d - 394. Find the second derivative of z(q) wrt q. 22660*q**3 Let l(y) be the second derivative of -5*y**3/6 + 27*y**2/2 + 28*y. Let i be l(5). What is the third derivative of 16*j**4 + 6*j + 7*j**i - 8*j**2 - 6*j wrt j? 384*j Let n be 6 - (405905/(-35) - (-4)/14). Find the third derivative of -n*v**3 + 11358*v**3 + 135*v**2 + 62*v**2 wrt v. -1470 Let b(c) be the third derivative of 11/2*c**3 + 18*c**2 + 2 + 0*c + 0*c**6 + 0*c**5 - 1/21*c**7 + 0*c**4. What is the first derivative of b(u) wrt u? -40*u**3 Let i(d) = 3618*d**3 + 10*d - 258. Let x(t) = 1810*t**3 + 6*t - 131. Let o(w) = 4*i(w) - 7*x(w). What is the second derivative of o(y) wrt y? 10812*y Let r(f) = -1. Let p = 209 - 215. Let d(q) = 170*q**2 - 194*q - 6. Let b(z) = p*r(z) + d(z). What is the second derivative of b(t) wrt t? 340 Let v(o) = 25*o**5 - 65*o**4 + o**2 + 248*o + 9. Let n(f) = 24*f**5 - 65*f**4 + 248*f + 8. Let t(a) = -9*n(a) + 8*v(a). Find the third derivative of t(z) wrt z. -960*z**2 + 1560*z Let x(n) = -244 + 9*n + 60*n**2 + 244 - 8*n. Let u(j) = 61*j**2. Let s(z) = -3*u(z) + 4*x(z). Find the second derivative of s(p) wrt p. 114 Find the second derivative of -2 - 614*f + 2 + 105329*f**4 - 107616*f**4 wrt f. -27444*f**2 Let o(j) = 27*j + 293. Let f be o(-10). Differentiate 48 - 103*x + 215 - 69*x - f*x wrt x. -195 Suppose -6*d + 14 - 2 = 0. Find the second derivative of -17*h**d + 2 + 3*h**4 - 82*h + 12*h**2 + 48*h wrt h. 36*h**2 - 10 Let c = 230 + -168. Find the second derivative of 15*r**2 + c - 19*r**2 + 4*r - 3*r**3 - 3*r wrt r. -18*r - 8 Let p(f) be the second derivative of -7*f**5/5 + f**2/2 + 5*f. Let x be p(-1). Differentiate -13*g + 25*g - 3 - x*g**4 - 12*g wrt g. -116*g**3 Let s(l) be the first derivative of -114*l**5/5 - 44*l**3 + 93. Find the third derivative of s(j) wrt j. -2736*j Let n(t) be the second derivative of 179*t**4/24 + 55*t**3/3 + 43*t**2 + 97*t. Let x(g) be the first derivative of n(g). Differentiate x(z) with respect to z. 179 Let n(x) be the third derivative of 1/6*x**3 + 193/60*x**5 - 151/24*x**4 + 0*x - 133*x**2 + 0. What is the second derivative of n(i) wrt i? 386 What is the derivative of 3589 + 28*z + 2*z**3 - 3*z**3 + 9*z + 1471 + 4*z**2 - 10*z wrt z? -3*z**2 + 8*z + 27 Let j(g) be the second derivative of -10 + 0*g**3 - g + 19/5*g**5 + 0*g**4 - 41/2*g**2. Find the first derivative of j(h) wrt h. 228*h**2 Let d(s) be the first derivative of -226*s**6/3 + s**5 + 94*s**2 - 20*s + 2947. What is the second derivative of d(v) wrt v? -9040*v**3 + 60*v**2 Let u = 122 + -218. Let w = u + 104. What is the third derivative of -40*c**2 - w*c**4 - 5*c**2 - 9*c**4 wrt c? -408*c What is the second derivative of -4 - 4513*n + 4 - 673*n**2 - 2617*n**2 - 340*n**2 wrt n? -7260 Let w(l) = 3816*l - 3803. Let k(h) = 3818*h - 3783. Let n(v) = -3*k(v) + 4*w(v). What is the first derivative of n(u) wrt u? 3810 Let n(b) be the first derivative of -872*b**5/5 - 1775*b**2/2 + 1872. Find the second derivative of n(g) wrt g. -10464*g**2 What is the third derivative of -335301*w**5 + w**3 - 1323*w**2 - 59*w**6 + 335301*w**5 - 3*w**3 + 3*w**3 wrt w? -7080*w**3 + 6 Suppose -2*p = -a + 7, a = -3*a + 4*p + 20. Suppose -2*v + 3*q = -27 - 26, -4*q + 37 = a*v. What is the second derivative of 10*i**5 + v*i**5 + 3*i - i wrt i? 580*i**3 Suppose -18*p + 1 = -17*p. Find the third derivative of -96*x + 96*x - 5*x**2 + p + 65*x**5 wrt x. 3900*x**2 Differentiate 1823*w**2 - 97 + 386 + 533 wrt w. 3646*w Let h(p) be the first derivative of -p**4/2 + 19*p**3 + 898*p**2 + 1438. Find the second derivative of h(o) wrt o. -12*o + 114 Let q = 446 + -419. What is the third derivative of -79*b**2 + 23*b**2 + 26*b**2 - 146*b**6 + q*b**2 wrt b? -17520*b**3 Let i(o) = 3956*o + 2492. Let s(j) = 8*j - 2. Let r(h) = i(h) + 3*s(h). What is the first derivative of r(q) wrt q? 3980 Let q(u) = -7*u**2 - 13*u - 408. Let h(w) = 14*w**2 + 28*w + 817. Let y(k) = -6*h(k) - 15*q(k). What is the first derivative of y(m) wrt m? 42*m + 27 Let x(c) = -2*c**3 - 3*c**2 + 4*c + 6. Let l be x(-2). Differentiate -46*p**l - 3 - 28*p**2 - 49 - 34*p**2 - 125*p**2 wrt p. -466*p Let q(m) be the third derivative of 0 - 1/60*m**5 - 13/40*m**6 - 3*m + 0*m**3 - 5/24*m**4 - 7*m**2. Find the second derivative of q(o) wrt o. -234*o - 2 Let y(z) = z**2 + 3*z + 1488. Let w be y(0). Find the third derivative of 1463*i + 0*i**3 + i**4 + 0*i**3 + 2*i**2 + 46*i**6 - w*i wrt i. 5520*i**3 + 24*i Suppose 5*y = -4*q + q - 42, -4*y + 3*q - 12 = 0. Let p(d) = d + 10. Let b be p(y). Find the third derivative of 10 + 18*v**2 - 12*v**b - 10 wrt v. -288*v Let v be (2 + 108/(-8))/(6/(-24)). Let c = 5 - 2. What is the third derivative of 10 - 9 - 1 + 50*x**2 + v*x**c wrt x? 276 Suppose -8*u + 3*u - 5*d = -10, -4 = -2*u + 3*d. What is the third derivative of -20*f**3 + 14*f**3 - 4*f**4 - 20*f**3 + 1 + 3*f**4 - 3*f**u wrt f? -24*f - 156 What is the third derivative of 15883*x**3 - 8*x**4 + 8*x**4 - 15883*x**3 - 1370*x**2 - 1408*x**5 wrt x? -84480*x**2 Let z be (5 + -6)/((-1)/5). Suppose 2*p + 18 = z*p. Find the first derivative of -3 + p*k**3 + 12*k - 19*k + 7*k wrt k. 18*k**2 Find the third derivative of 0*l + 8696*l**2 + 0*l + 9387*l**2 - 15862*l**2 + 5379*l**3 wrt l. 32274 Let i(f) = -75*f**3 + 7*f - 35. Let r(b) = 6*b + 20*b**3 + 21*b**3 - 35 - 117*b**3. Let h(n) = 6*i(n) - 7*r(n). Differentiate h(c) wrt c. 246*c**2 Let k(l) = -2*l**3 - 4*l**2 - 5*l. Let f be k(-1). Find the second derivative of -5*s**3 + 2 + 3*s**f + 683*s**2 - 653*s**2 - 58*s wrt s. -12*s + 60 Suppose -3*o - 7 - 26 = 0. Let z = 14 + o. Find the second derivative of -3*f**3 - 2*f - 2*f**3 - 5*f + z*f**3 wrt f. -12*f Let a be 3/6 - (-99)/18. Let o(h) = 59*h**3 + 64*h. Let i(f) = 20*f**3 + 21*f. Let p(y) = a*o(y) - 17*i(y). Find the second derivative of p(u) wrt u. 84*u Let i(g) = 331*g**2 + 5*g + 2936. Let s(v) = 5*v**2 + v + 1. Let d(z) = -i(z) + 6*s(z). What is the derivative of d(t) wrt t? -602*t + 1 Let a(x) be the second derivative of 646*x**6/5 - 2*x**3/3 + 142*x**2 + 11*x + 32. What is the second derivative of a(z) wrt z? 46512*z**2 Let o(y) = -10*y**4 - 3*y**2 + 3*y + 3033. Let n(u) = 20*u**4 + 6*u**2 - 5*u - 6068. Let f(z) = -3*n(z) - 5*o(z). What is the derivative of f(g) wrt g? -40*g**3 - 6*g What is the third derivative of 3*p**5 - 13 - 23*p**3 + p**2 - 30*p**4 + 47*p + 28*p**4 - 6*p - 17*p**5 - 4*p**5 wrt p? -1080*p**2 - 48*p - 138 Let m(u) be the second derivative of 43*u**5/30 + 10*u**3/3 - 4*u**2 + 28*u + 2. Let s(y) be the first derivative of m(y). What is the derivative of s(x) wrt x? 172*x What is the third derivative of -1062*s**2 - 682*s**2 + 262*s**3 + 433*s**2 - 79*s**2 - 1883*s**3 wrt s? -9726 Let h be (-7 - 0) + (26 - -3). What is the derivative of 24*s - h*s + 9 - 74*s - 63 wrt s? -72 Suppose -16*o = -166 - 10. What is the second derivative of -62*l - 92*l - 148*l + o*l**2 + 31*l**2 wrt l? 84 Let h(l) be the third derivative of 179*l**4/12 - 679*l**3/2 + 3*l**2 - 1102. What is the first derivative of h(c) wrt c? 358 Let y = -218 - -220. Find the third derivative of -o - 5*o - 38*o**y + 4*o + 142*o**3 - 237*o**3 wrt o. -570 Find the second derivative of -1476*o - 2333*o**3 + 1176*o**3 + 33*o**2 + 1167*o**3 wrt o. 60*o + 66 Let a(z) = z**3 - 3*z**2 - 2*z - 6. Let t be a(5). Find the first derivative of -3*y + 35*y**3 + 3*y - t*y**3 - 41
{ "pile_set_name": "DM Mathematics" }
o + 2*o. Let n be 26/(-65) + o/(-5). Suppose -2*r + 965 = 3*a, n*a + r - 1619 = 3*r. Is a a prime number? False Suppose 2667 = -5*q + 71412. Is q prime? False Is 1/(3 - ((-36948)/2053)/(-6)) a prime number? True Suppose -2*g + 6287 + 6369 = 2*j, g + 12641 = 2*j. Is j a composite number? False Let z be (-25)/(-9) - (-6)/27. Suppose z*u - 9587 = -5*b, 0*u - 3*b = -u + 3205. Is u a prime number? False Suppose 0 = 23*a - 25*a - 20444. Let h = 16655 + a. Is h a prime number? False Suppose -5*t + 3382 - 27625 = -x, 4*x - 2*t = 97044. Is x prime? False Let i(j) = -j - 5. Let d be i(0). Let r be d/20 + 1/4. Suppose r = -2*w + 17 + 21. Is w composite? False Is 66/231 + 189234/14 a composite number? True Suppose 9*z = 48 - 3. Suppose -z*q + 226 = -479. Is q composite? True Suppose 0 = h + 4*h - 4*t - 199, 4*h + 4*t = 188. Let s = h - 10. Is s prime? False Let w(c) = 9*c - 3 + 7*c + 3*c. Is w(6) composite? True Let x(b) = -14 + 7*b**2 + 14*b - 6 + 14*b**2 - 1. Is x(-14) a prime number? False Is (-2)/(8*11/(-871772)) a composite number? False Suppose -4*o = -4*h + 120, 2*o = -0*o + h - 60. Let x = -36 - o. Let f = x - -16. Is f composite? True Suppose 0 = -q - 5*q + 72. Let y be -17*q*35/15. Let f = 1153 + y. Is f a composite number? False Let v(q) be the second derivative of 91*q**3/2 - 32*q**2 + 17*q. Is v(11) composite? False Suppose -5*z + 9*z = 2*b - 27686, -4*b + 55369 = -5*z. Is b a prime number? True Let v(m) = m + 688. Suppose -g - 2*y - 8 = 0, 2*g - 16 = 3*y + y. Let w be v(g). Is 12/(-2) + 3 + w prime? False Let p = -10 + 20. Suppose -1588 = -p*v + 6*v. Is v a composite number? False Suppose 2*t + 5433 - 38671 = 0. Is t a prime number? True Is (1/(-2))/((26/(-99772))/13) a composite number? False Suppose -50 = 9*i - 4*i. Is (-4)/i + (-18)/(-30)*631 composite? False Let c = 895 - 123. Let u = -510 + c. Suppose -73 - u = -5*n. Is n composite? False Let j(r) be the second derivative of -3*r**5/10 + r**4/12 + 2*r**3/3 - r**2/2 - 9*r. Let f(q) = 2*q + 1. Let l be f(-2). Is j(l) a composite number? True Let q(t) = 11 - 151*t - 9 - 85*t + 7. Is q(-3) composite? True Suppose -4*i = -6*i + 3*w + 1088, 3*i + 5*w = 1613. Is 1*(i - 0/(-4)) prime? True Let j(x) = x**3 + x**2 + x + 347. Suppose -3*n - 2*g = -2, 3*n + 2*n + g - 1 = 0. Is j(n) a composite number? False Let d be (8/(-4) + 4)*-1. Let t(w) = 50*w**2 + 3. Is t(d) a composite number? True Suppose 126 = 16*v - 1682. Is v prime? True Let h(i) be the third derivative of 13*i**5/6 + i**4/2 - 19*i**3/6 - 18*i**2. Is h(6) prime? True Suppose -272344 = -73*i + 65*i. Is i prime? False Let c = -14 - -17. Let x be 1*(3 - (c - -109)). Is x/(-2 + 2 + -1) a composite number? False Let o(r) = 5*r - 2. Let g be o(2). Let s(v) = -g + 12 - 174*v - 166*v - 7. Is s(-2) a composite number? False Suppose -99782 - 90695 = -7*x. Is x composite? False Let u be 1/(-3)*-3*5. Suppose -u*m + 7*m = 44. Suppose m*y - 18*y = 76. Is y composite? False Let r be 4/(-10) - (-96)/40. Suppose h - 33 - 88 = -c, 4*h + 212 = r*c. Is ((-6)/(-12))/(1/c) prime? False Is 26/(10436/(-41872) + 4/16) composite? True Is (-1)/(-2) - 382713/(-58) a prime number? True Suppose -53*d + 44*d + 39789 = 0. Is d prime? True Let d = 1 - -3. Suppose d = -2*a - 0*a. Is ((-2568)/3)/a + -1 composite? True Let f = 20197 + -2540. Is f composite? False Let c be 6/(-8) + (-39)/(-52). Suppose 5*d - 22 = -3*v, 4*d + c*v + v = 19. Suppose 4*w - 2*m - 90 = 0, d*w + 3*m - 3 = 104. Is w prime? False Suppose r - 8*u - 1353 = -6*u, u - 4073 = -3*r. Is r prime? False Suppose -z + 5 = 0, 3*z = 4*h - 0*z - 5. Suppose -h*y + 728 + 197 = 0. Is y a prime number? False Suppose 0 = 12*m - 15*m + 2922. Is m a composite number? True Let f(d) be the first derivative of 17/3*d**3 + 2*d - 3*d**2 + 7. Is f(-7) a prime number? True Let z(i) = 2*i - 1. Let v be z(2). Suppose 0 = -6*m + 4*m + 442. Suppose -7*f = -n - v*f + 215, n - f = m. Is n prime? True Let x be -1 + (-3)/(-6)*2. Suppose x*w - 2*w - 668 = 0. Let f = -41 - w. Is f prime? True Let d = -6 + 6. Suppose -b + d*b = -2. Suppose -2*o + 1905 = o - 4*u, 0 = -2*o + b*u + 1270. Is o a composite number? True Let g = 279 + 1522. Is g a composite number? False Let a = 113 + 19. Let d(b) = b + 2. Let x be d(0). Suppose -6*m + a = -x*m. Is m composite? True Let w = -1238 - -602. Let s = -155 - w. Is s prime? False Is -13 - 1225/(-95) - (-5664)/19 a prime number? False Let x = -267 - -270. Suppose -13 + 5 = 4*b. Is x/(1/(15 + b)) a prime number? False Let j(s) = -2381*s**3 + 4*s**2 + 7*s + 17. Is j(-3) a composite number? False Let c(b) be the third derivative of -3*b**5/20 - b**4/6 - 2*b**2. Let t be c(-8). Let i = -333 - t. Is i prime? True Is -4 - (4*5/4 - 4996) prime? True Suppose 27*r - 1405525 = -290992. Is r prime? False Suppose -4 = 4*j - 12, 3*n + 3*j - 15663 = 0. Is n a composite number? True Suppose 3*d + 3 + 0 = 0. Let q be 2694/(-8) + d/4. Let r = -240 - q. Is r a composite number? False Suppose -x + 3*z - 3 - 6 = 0, 3*x = -3*z + 33. Let u(f) = f - 1. Let y be u(x). Is -1 + (-5)/(y/(-318)) prime? True Suppose -4*u + 6*u + 4*h - 7106 = 0, 4*h = -8. Is u a prime number? True Let v = 2410 + 17479. Is v a prime number? True Suppose -2 = -5*w - 3*s - 4, 0 = -4*w + 5*s + 28. Suppose n + 4*k = 90 + 177, 0 = 3*n + w*k - 791. Let v = n + -124. Is v composite? False Suppose 4*x = -2*u + 54010, 16*u - 21*u = -3*x + 40488. Is x a composite number? True Suppose 2 = w, 5*t + 8*w - 25637 = 12*w. Is t a composite number? True Let j(t) = 23*t**2 + 3*t + 1. Let s(m) = -m - 7. Let b be s(-11). Let f be j(b). Suppose -4*a + 4 = 0, 8*u - f = 3*u + 4*a. Is u prime? False Suppose z - 249 = -2*l, 2*z + 7*l = 2*l + 496. Is z prime? False Let t(i) = 37*i**2 - 16*i - 55. Is t(-8) prime? True Is (-24)/84 + 30/28*802 prime? True Suppose -4*u - f = 4*f + 553, -2*f - 538 = 4*u. Let o = u - -383. Is o a prime number? True Let q(s) = s**3 - 14*s**2 - 12*s + 14. Suppose 2*t + 2*t = 64. Suppose t = d + 1. Is q(d) a prime number? True Let n(i) = -2*i + 33. Let u be n(14). Suppose -2*w + 1785 = 2*t - 1089, -4*w = -u*t + 7203. Is t a composite number? False Let r(w) = -w**2 + 2*w + 7604. Let d be r(0). Let b = -2517 + d. Is b a composite number? False Suppose -2*k + 76 + 18 = 0. Let g(r) = -3*r**3 - 4*r**2 - 2*r + 2. Let n be g(-4). Suppose -k - n = -5*a. Is a a prime number? True Let p(l) = -l**2 + 2. Let m be p(2). Let o be 58*(-1)/m + 2. Is o*((-1 - -2) + 0) composite? False Let c(u) = -u + 3. Let z be c(3). Suppose 5*l = q - z*q + 21, -2*q + 4*l - 12 = 0. Suppose q*j + j = 3*w + 108, -5*j + 100 = 5*w. Is j a prime number? False Let a(z) = 18*z**2 + 22*z - 25. Is a(9) prime? False Suppose -a - 2*g = 3*a - 15448, 4*g = -a + 3855. Is a composite? False Let g be 1234 - (-3 - (-10 - -3)). Suppose -5*y = 5*i - g, 2 - 7 = i. Is y a prime number? True Let m be (-1 - (3 + -5))*1*-11. Let v = m - -33. Is v prime? False Is ((-11245)/(-15) + 3)/(18/297) prime? False Suppose -c - 4*c = -2305. Let i = -54 + c. Is i a composite number? True Let j be 1 + (0 - (3 - -30)). Let x be j*(4 + (-57)/(-6)). Is 2/(-2) + x/(-2) composite? True Is (-2)/19 + (-5900436)/(-228) composite? True Let k = -2830 + 9059. Is k composite? False Is 6*(-5 - (-14420)/30) composite? True Let a = 80 - 60. Is ((-44856)/a)/(-1) - 1/(-5) a composite number? False Let o be (-1 + (-7)/(21/(-12)))*-202. Let p = o + 899. Is p a composite number? False Is (4/(-10))/((-12)/678390) a prime number? True Suppose -d + 2*o = -4057, -4*o - 3 = -5*o. Is d composite? True Let o(r) = -r**3 - 2*r - 30. Let v be o(0). Let m be (-94)/v - (-20)/(-150). Is m + 7/(7/94) prime? True Suppose 10*u + 2*c + 3138 = 14*u, 4*u - 3128 = 4*c. Is u a composite number? False Let i = 43 + -40. Suppose 0 = -3*m + i*s + 996, -5*s + 3*s = -4*m + 1338. Is m a prime number? True Suppose -5*k = 2*k - 49140. Is k/21 - 6/21 a prime number? False Suppose 0*d + 5*d + 225 = z, 3*z + 4*d - 599 = 0. Is z a prime number? False Suppose 11*k - 38145 = 156632. Is k a composite number? False Suppose 0 = 2*x + 5 + 3, -x = 3*d + 2671. Is ((0 - -1)/(7/d))/(-1) composite? False Suppose 7*u + 7*u + 71792 = 0. Is ((-14)/(-4) - 2)*u/(-12) a prime number? True Suppose -3*k + 2*v = v - 12589, -5*k + 3*v + 20987 = 0. Is k a prime number? False Suppose -1203
{ "pile_set_name": "DM Mathematics" }
z + t - 2, -26 = c*z + 5*t for z. -4 Suppose -12 = -5*f - 2. Let x be f/6 - 1/3. Suppose -3*q + 5*q = x. Solve -4*i + 5*n + 21 = q, 0*i = i - 3*n - 7 for i. 4 Let a(k) = -2*k + 15. Let g be a(7). Let r be 3 + 4 - ((-2)/g)/(-1). Solve 0 = -5*s + 4*w - 31, r*s + w + 4 = -7 for s. -3 Let f be (-16)/10*(-115)/46. Solve -w = -f*w - 3*x + 15, -5*w + 17 = 3*x for w. 1 Suppose -3*l + 6 = -2*l. Suppose x - 3 = -s, 2*x - 4*s + s - l = 0. Let v(b) = 2*b - 4. Let d be v(x). Solve p - w = -4*p - 20, 0 = -d*w - 10 for p. -5 Suppose 73 = 5*j - q, 0 = 2*j + q - 2 - 30. Suppose -9 = -4*m + j. Let g be m/(-9)*3 - -6. Solve 1 = -5*w + g*s, 0 = 4*s + 6 - 2 for w. -1 Suppose 0 = -2*x - 28 - 404. Let r be x/21 - 4/(-14). Let w = 18 + r. Solve 17 = 5*h - 2*d, -4*h - d = -4*d - w for h. 5 Suppose -100*k - 5 = -101*k. Solve -5*c + 1 = k*w - 4, -17 = -w - 5*c for w. -3 Suppose -9*y - 14 + 59 = 0. Solve -y*v - 3*p - 20 = 0, 0 = -0*v + 4*v - 2*p - 6 for v. -1 Suppose 137 = -23*a + 183. Solve 0 = -3*m + a*c, 2 = -8*m + 3*m + 4*c for m. 2 Let b be 32 - (4 + -4 + -3). Suppose 3*f = -2*f + 25. Let u be ((-4)/f)/((-14)/b). Solve -2*o + 2*p - u = -12, -4*p - 20 = 4*o for o. 0 Let f(c) be the second derivative of 5*c**4/12 - 3*c**2/2 + 3*c + 3. Let g be f(2). Solve 25 = 5*v + 3*w, -5*v - w + g + 8 = 0 for v. 5 Let t be (-10)/15 - 230/6. Let h = t + 52. Solve -4*k + 11 = -3*c, 0*k + 4*k - h = 5*c for k. 2 Let s be 56/(-20) + 3 + 31/(-5). Let m be ((-1)/2)/(1/s). Solve -h + 5*w = -10, h - 4*w - 8 = m*h for h. 0 Suppose -4*i + 0*i + 92 = -4*v, 2*v - 62 = -4*i. Suppose -i*x = -17*x - 4. Solve -15 = 5*k, -x*d = -d + 5*k + 21 for d. -2 Suppose -u - 3 = -7. Solve -c = 2*p + 3*p - 29, p + 11 = u*c for p. 5 Let z = 371 - 366. Solve 4*t = -4*f + 2*f + 10, -z*t = 2*f - 15 for t. 5 Suppose 46*b = 140*b - 282. Let n = 1 - 5. Let x be (10/n)/((-1)/2). Solve -3*o + x*f = 18, -5*o = b*f + 2*f - 10 for o. -1 Let d be 2079/44 + (-6)/(-8). Suppose -d - 2 = 2*v. Let b = -22 - v. Solve -4*s + 22 = 5*k, k + 3 + 4 = b*s for k. 2 Let h be 6/1 - (-14)/(-14). Solve -3*j + h*v - 35 + 9 = 0, 4*j - 4*v + 24 = 0 for j. -2 Let c be -7 + ((-6)/(-4))/(72/528). Solve -2*q - 3 = n, 2*n - c*n = -2*q for q. -1 Suppose -5*x - 18 = -6*x. Let h be (-36)/(-17) - x/153. Solve 0 = -3*f + h*f + o + 2, -2*f = -o - 5 for f. 3 Let g = 8 - 5. Suppose 0*k + g*k - 40 = 5*s, -5*s = 25. Let r be (12/(-9))/(k/(-15)). Solve r*p - 2*p + 5 = -q, -3*q - 5*p = 12 for q. 1 Suppose -2*q = 3*r - 6, 16*r - 19*r - 9 = -3*q. Solve 3*a - 6 - 1 = 5*p, q = a - p for a. 4 Let g = -4 + 9. Let j be (-4 + 3)/((-2)/(-10)). Let n = 0 - j. Solve a = -5*v + g*a - 2, -n*v = 4*a + 18 for v. -2 Suppose 3*k + 73 = -4*n, 0*k - 49 = 2*n - k. Let m = -19 - n. Solve a = 3, -2*a = m*y - 0*a - 18 for y. 4 Let d(n) = n**2 - n - 1. Let j be d(-2). Suppose -j = x - 2*x. Solve 5*l - 20 = 0, -3*k + x*l = 3 + 17 for k. 0 Let x(n) = n**3 + 9*n**2 + 10*n + 18. Let l be x(-8). Solve z - h - 3 = 0, -3*h + l = -5*z + 9 for z. -1 Let m(u) = 2*u + 19. Let v = -26 + 18. Let q be m(v). Suppose -1 = -2*k + 3. Solve 0 = 2*s + 4*p - k, -3*p = q*s - 0*s - 3 for s. 1 Suppose 3*h - 5*h = 0. Let u = 29 - 10. Suppose -3*s + 5*d = -17, 4*s + s + d = u. Solve h = -2*g + s, -2*g = z + 3*z - 8 for z. 1 Let i(w) = -2*w. Let y be i(-2). Suppose y*q = 5*o + 25, 33 - 8 = -5*o. Let d be -3 + q + 1 + 5. Solve -5*f = 2*z - 21, -4*z = 2*f - 7*f + d for z. 3 Let t = 11 + -9. Let a be (t - 5)*1 + 3 + 0. Solve a = 5*m - 3*m - 2*i + 4, 5*m + 2*i - 25 = 0 for m. 3 Suppose 0 = -8*a + 3*a. Suppose -5*c - 2*b + 37 = a, 10 = -4*c + 5*c + 3*b. Suppose 3*i = c + 8. Solve -d + s = i*s - 23, -d + s = 2 for d. 3 Let l = 10 - -4. Suppose 50*c - 62*c = -36. Solve c*b + 0*q - 5 = -5*q, 2*q + l = 2*b for b. 5 Let q(s) = -s**3 + s**2 + s - 8. Let b be q(0). Let v = b + 18. Solve 3*i - 3*j = -18, 0 = i - 4*j - j + v for i. -5 Let x(r) = -4*r - 3. Let s = 34 + -41. Let l be x(s). Suppose -y - 2*y + 2*g + 10 = 0, -l = -y + 5*g. Solve 4*a = 20, -2*m + 2*a = -y*m for m. 5 Let k(u) = 12*u - 25. Let y be k(7). Let p = y + -56. Let n = 1 - 1. Solve 5*r + 25 = n, c - 12 = 5*r - p*r for c. 2 Suppose -x - 3*h = -34, 4*x - 4*h = -2*h + 178. Let v be 3 + (0 - -2) + x. Let q be (2/4)/(8/v). Solve 3 + q = -m + 2*k, -m = k for m. -2 Suppose 9*b - 12 = 3*b. Let j = b + 8. Suppose w = -4*w + j. Solve -w*f - 16 = 4*u, -4*f + 4*u + 25 = -3 for f. 2 Let t(v) = 6*v**3 + v**2 - v. Let w be t(1). Let l be (-45)/w - (-3)/(-2). Let o = 13 + l. Solve o*p = 8*p + s + 7, -s - 4 = 3*p for p. -3 Suppose 8*k - 29 = 4*k - d, 4*k + 2*d - 34 = 0. Solve -2*u + k*u - o = 15, 4*u - 4*o - 12 = 0 for u. 4 Suppose -3*a + 7 = -41. Suppose 2*k - a = -2*k. Solve -4*q + 5*o = -q - 35, -o - k = 0 for q. 5 Let f(g) = 12*g - 70. Let i be f(6). Solve 3*t - 7 = 2, o + 4 = i*t for o. 2 Let h be (1 - (-6)/(-3))*(30 - 35). Solve 5*l - 30 = -h*u, 4*l - 9 = u - 2*u for l. 1 Suppose -b - b = 3*u - 14, b = 2*u. Let x = -19 + -2. Let i = x - -36. Solve -i = -5*a - 5*l, -2*a + b*a + l - 3 = 0 for a. 0 Let z(m) = -m - 16. Let n be (-12)/20 + 128/(-20). Let l be z(n). Let c = -7 - l. Solve -c*k = 5*y - 17 - 1, y - 8 = 4*k for y. 4 Let m(x) = x**2 + 10*x + 7. Let z be m(-9). Let c be (3/z + (-2 - -4))*6. Solve -u - 6 = 3*q, 0*u = 2*q + c*u + 11 for q. -1 Suppose 4*c = 5*d + 24, 2*c - d - 12 = -5*d. Suppose -18*a = -21*a + c. Solve 17 = -t - 4*v, -5*v = -a*t + t + 10 for t. -5 Suppose 0 = -267*i + 265*i + 8. Solve -i*f + 8 = -3*q, 0*q - 12 = 4*f + 2*q for f. -1 Suppose 2*u - 29 = -13. Solve -4*n = u*f - 4*f, n = -5*f - 12 for n. 3 Suppose -v - 4*v = -25. Suppose -v*u = -10*u - 55. Let f = u + 13. Solve d = -3*t - 8, -4 = -3*d - f*t - 0*t for d. 4 Let r be 920/35 - (-2)/(-7). Let u = r + -18. Suppose -5*f + 8 = -f. Solve -12 = -3*p - 5*y, -p - u = -3*p - f*y for p. 4 Let i be 7 + (7 + 1 - 4) + -6. Solve 4*y = 4*d + 8, -y - y = d + i for y. -1 Suppose -4*m + 2*g + 4 = -2*g, -2*m + 4*g = 4. Let u(r) = -r**3 + 2*r**2 + 10*r - 3. Let o be u(m). Solve o*w - 29 = -2*v, 3*w - 13 = -4*v + 10 for w. 5 Let u = -39 + 31. Let o be u/(-10)*5/20*10. Solve -3*j = -y - o*y + 18, -3*j = -5*y + 22 for y. 2 Let i(p) = -2*p + 2*p + 5 + p. Let d be i(-2). Let o be (3 + -6 - -4)*d. Solve 4*b + 7 = -4*l - 1, 4*b = -3*l - o for b. 3 Let h = -16 - -64. Let s = 48 - h. Solve -2*m - 2*x + 4 = -s, 0 = -3*m + x - 10 for m. -2 Let m be (-17 - -21) + -4 + 0. Suppose m*y + 4*y - 4*f = 0, -2*f + 6 = 0. Solve -3*g - 2*u = -5*u, -4*u = y*g + 14 for g. -2 Suppose 8*s + 32 = -8. Let k(q) = q**2 + 2*q - 10. Let i be k(s). Solve 3*y + a = -0*a + 9, 3*a + 29 = i*y for y. 4 Let j = -16 + 26. Suppose -2*z - 6 = -j. Let k = z + 1. Solve 5*a - k*o = a, -o - 13 = 3*a for a. -3 Let b = -1127 + 1133. Solve 8 = -3*v + j, b*v = 2*v + 5*j + 4 for v. -4 Let w = -22 + 37. Let b be (-5 + 5)*(3 - 4). Suppose -4*v - 4*s = -36, -8 = -4*v + 2*s + s. Solve 2*o = b, -5*j + 3*o + w = -v for j. 4 Let z = 2 - 6. Let s be 150 + (-3 - z) + -2. Suppose -4*o + 3*p = -s, o = 6*o - p - 189. Solve o = 4*i - 5*d + 15, d = -4*i + 5 for i. 2 Suppose -13*y - 31 - 34 = 0. Let a = 7 + y. Solve a*l = -j - 4*j + 24, -3*l = -6 for j. 4 Let v(h) = -h**3 - 8*h**2 + 7*h + 9. Let b be v(-9). Let r = b - 24. Solve -4*w + r + 13 = 4*u, 4*w - 12 = -2*u for u. 2 Let l be (-2)/12 + 629/102. Suppose 3*x - l = -h + 2, -h + 2*x = 2. Solve -h*d = -5*g + 28, -4*d = d - 2*g + 28 for d. -4 Let i = 14 + 23. Let s = i - 23. Solve -3*p + 0*p - s = -5*v, 5*p + 10 = 5*v for p. 2 Suppose d = 5*k - 48, 3*k - 2*d = 27 - 1. Suppose -x - 6 = 3. Let v = x + 14. Solve -5*f + 3*m - k = 0, -3*f - v*m - 6 = -0*f for f. -2 Let w be (-21)/(-4) - ((-8)/32)/(-1). Solve -3*a - w = -2*k - 0*a, -5*k + 5*a = 0 for k. -5 Suppose -3*c = -2*s - 29 - 71, 5*c - 5*s = 175. Let h = c + -4. Suppose -5*k = -2*k - 6. Solve -6 + 18 = -k*q - 2*g, 0 = -5*q - 4*g - h for q. -2 Let b be (-2769)/(-195) + 1/(-5). Solve y - h + 13 = 2*h, -b = 2*y - 2*h for y. -4 Let x be (9/(-6)*-1)/(12/32). Suppose 5*o = z - x*z + 8, -2*z - 8 = 0. Let a(h) = 2*h. Let m be a(1). Solve 2*y - m = -4*r, 3*r - o = r for y. -3 Suppose 5*l + 3*l - 288 = 0. Let y = 39 - l. Solve -3*s - 35 = 5*m, -5*m - s = -y*s + 10 for m. -4 Suppose 4*t - 4*o = 8, -t + 0*t = 5*o - 8. Suppose t*v - v = 44. Solve -4*w + 2*s - v = 0, 16 = -6*w +
{ "pile_set_name": "DM Mathematics" }