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
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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
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-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
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-4579
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-3843
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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
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-109952
What is the next term in 628, 1307, 1986, 2665, 3344, 4023?
4702
What is next in 943, 1834, 2693, 3526, 4339?
5138
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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
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-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
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-1171015
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-405353
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-21819
What comes next: 10313, 41185, 92639, 164675, 257293?
370493
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608
What is next in 403, 775, 1137, 1483, 1807, 2103, 2365?
2587
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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
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-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
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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
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19766
What comes next: -135, -481, -1057, -1869, -2923?
-4225
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99246
What comes next: -388, -407, -428, -451?
-476
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-1709
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-39226
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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
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-17289
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631181
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2495
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-8557
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608
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-587
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17671
What comes next: -76169, -76193, -76217, -76241?
-76265
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1177
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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
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-14032
What comes next: -537, -538, -535, -528, -517?
-502
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-3081
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62195
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1551027
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380938
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9359
What comes next: 108571, 108561, 108539, 108499, 108435, 108341, 108211?
108039
What is next in -2303, -9070, -20335, -36092, -56335, -81058?
-110255
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365468
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-1423
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-20482
What comes next: -2151, -3856, -5121, -5952, -6355?
-6336
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5053
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-116570
What is the next term in -170, -763, -1742, -3113, -4882, -7055?
-9638
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29929
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-391
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-18691
What is next in 75470, 75466, 75462, 75458?
75454
What is the next term in -453, -886, -1299, -1704, -2113, -2538?
-2991
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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"
} |
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