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618 minutes after 7:34 AM? 5:52 PM What is 44 minutes before 6:57 AM? 6:13 AM How many minutes are there between 6:28 PM and 2:10 AM? 462 How many minutes are there between 1:18 AM and 1:45 AM? 27 How many minutes are there between 5:02 AM and 4:51 PM? 709 What is 102 minutes after 7:35 AM? 9:17 AM How many minutes are there between 12:17 AM and 2:36 AM? 139 What is 480 minutes before 10:19 AM? 2:19 AM How many minutes are there between 4:06 AM and 1:49 PM? 583 How many minutes are there between 9:47 AM and 7:11 PM? 564 What is 374 minutes before 9:08 PM? 2:54 PM What is 430 minutes after 11:07 AM? 6:17 PM What is 689 minutes before 6:37 PM? 7:08 AM How many minutes are there between 1:30 AM and 6:04 AM? 274 How many minutes are there between 4:56 AM and 8:11 AM? 195 What is 458 minutes after 3:58 AM? 11:36 AM How many minutes are there between 2:54 AM and 1:57 PM? 663 How many minutes are there between 11:13 PM and 9:22 AM? 609 How many minutes are there between 1:43 AM and 6:53 AM? 310 How many minutes are there between 1:49 PM and 1:58 PM? 9 How many minutes are there between 6:01 PM and 11:43 PM? 342 How many minutes are there between 11:58 PM and 7:17 AM? 439 How many minutes are there between 8:15 PM and 10:48 PM? 153 How many minutes are there between 1:18 AM and 8:14 AM? 416 How many minutes are there between 1:42 PM and 10:51 PM? 549 What is 149 minutes before 2:55 AM? 12:26 AM How many minutes are there between 1:01 AM and 2:12 AM? 71 What is 36 minutes after 7:55 PM? 8:31 PM How many minutes are there between 9:25 PM and 1:51 AM? 266 How many minutes are there between 7:18 AM and 10:19 AM? 181 What is 194 minutes after 7:35 PM? 10:49 PM How many minutes are there between 6:51 AM and 8:27 AM? 96 How many minutes are there between 12:18 AM and 8:31 AM? 493 What is 44 minutes before 8:28 AM? 7:44 AM How many minutes are there between 5:13 PM and 9:39 PM? 266 What is 152 minutes after 1:32 AM? 4:04 AM How many minutes are there between 11:52 PM and 9:20 AM? 568 What is 14 minutes after 5:53 AM? 6:07 AM What is 501 minutes before 8:38 PM? 12:17 PM How many minutes are there between 10:17 PM and 10:03 AM? 706 What is 207 minutes after 6:41 PM? 10:08 PM How many minutes are there between 9:21 PM and 2:24 AM? 303 How many minutes are there between 11:48 AM and 11:54 AM? 6 What is 697 minutes before 11:36 AM? 11:59 PM What is 6 minutes before 7:42 AM? 7:36 AM How many minutes are there between 5:10 PM and 10:34 PM? 324 How many minutes are there between 9:18 PM and 4:18 AM? 420 What is 444 minutes after 1:48 PM? 9:12 PM What is 123 minutes before 12:11 AM? 10:08 PM What is 597 minutes before 4:15 AM? 6:18 PM How many minutes are there between 4:21 PM and 11:02 PM? 401 What is 236 minutes after 6:03 AM? 9:59 AM What is 491 minutes after 3:03 PM? 11:14 PM How many minutes are there between 1:06 AM and 11:31 AM? 625 What is 144 minutes before 4:13 PM? 1:49 PM What is 644 minutes after 3:54 PM? 2:38 AM How many minutes are there between 12:04 AM and 5:08 AM? 304 How many minutes are there between 3:25 AM and 1:07 PM? 582 How many minutes are there between 3:30 PM and 12:28 AM? 538 What is 353 minutes before 10:15 PM? 4:22 PM How many minutes are there between 5:23 PM and 1:48 AM? 505 How many minutes are there between 5:05 AM and 3:22 PM? 617 What is 317 minutes after 11:26 AM? 4:43 PM How many minutes are there between 10:47 PM and 11:47 PM? 60 How many minutes are there between 9:51 PM and 12:23 AM? 152 How many minutes are there between 11:13 AM and 9:00 PM? 587 How many minutes are there between 9:06 AM and 10:05 AM? 59 How many minutes are there between 1:06 AM and 12:50 PM? 704 How many minutes are there between 6:26 AM and 1:51 PM? 445 What is 652 minutes before 3:45 AM? 4:53 PM What is 360 minutes before 8:00 AM? 2:00 AM How many minutes are there between 9:44 AM and 1:11 PM? 207 What is 372 minutes before 3:46 PM? 9:34 AM What is 132 minutes after 9:23 AM? 11:35 AM What is 110 minutes before 5:35 AM? 3:45 AM How many minutes are there between 1:40 PM and 3:46 PM? 126 What is 286 minutes after 8:20 AM? 1:06 PM How many minutes are there between 2:58 PM and 5:37 PM? 159 How many minutes are there between 7:49 AM and 10:06 AM? 137 What is 270 minutes after 3:28 PM? 7:58 PM How many minutes are there between 7:57 PM and 10:29 PM? 152 What is 246 minutes before 12:05 PM? 7:59 AM How many minutes are there between 2:15 PM and 10:52 PM? 517 How many minutes are there between 7:59 AM and 10:28 AM? 149 What is 250 minutes before 12:48 PM? 8:38 AM What is 211 minutes after 12:10 AM? 3:41 AM What is 609 minutes before 10:55 AM? 12:46 AM How many minutes are there between 4:49 AM and 6:57 AM? 128 How many minutes are there between 10:46 PM and 8:33 AM? 587 How many minutes are there between 11:14 PM and 5:39 AM? 385 What is 401 minutes after 6:01 AM? 12:42 PM What is 298 minutes after 8:22 AM? 1:20 PM How many minutes are there between 6:38 AM and 11:04 AM? 266 What is 670 minutes before 12:36 PM? 1:26 AM How many minutes are there between 3:38 PM and 11:25 PM? 467 What is 67 minutes after 6:01 PM? 7:08 PM What is 430 minutes after 12:05 PM? 7:15 PM What is 388 minutes after 9:07 PM? 3:35 AM What is 359 minutes after 2:01 PM? 8:00 PM What is 337 minutes before 1:43 AM? 8:06 PM What is 667 minutes after 2:21 AM? 1:28 PM How many minutes are there between 7:25 PM and 8:41 PM? 76 How many minutes are there between 4:37 PM and 7:32 PM? 175 What is 165 minutes after 5:10 AM? 7:55 AM What is 176 minutes before 7:13 PM? 4:17 PM How many minutes are there between 3:08 AM and 3:22 AM? 14 What is 90 minutes after 11:32 PM? 1:02 AM What is 719 minutes after 11:30 PM? 11:29 AM What is 313 minutes after 5:57 AM? 11:10 AM How many minutes are there between 5:54 PM and 11:12 PM? 318 How many minutes are there between 10:22 PM and 2:32 AM? 250 How many minutes are there between 7:28 PM and 8:03 PM? 35 How many minutes are there between 4:12 AM and 11:58 AM? 466 What is 367 minutes after 10:02 AM? 4:09 PM How many minutes are there between 7:17 AM and 12:27 PM? 310 What is 558 minutes before 12:51 PM? 3:33 AM How many minutes are there between 9:57 PM and 2:21 AM? 264 What is 283 minutes after 9:10 PM? 1:53 AM How many minutes are there between 6:19 PM and 6:33 PM? 14 How many minutes are there between 10:10 PM and 4:36 AM? 386 How many minutes are there between 4:33 PM and 12:25 AM? 472 How many minutes are there between 9:04 PM and 2:08 AM? 304 What is 56 minutes after 9:16 PM? 10:12 PM What is 636 minutes before 8:45 PM? 10:09 AM How many minutes are there between 3:39 PM and 10:27 PM? 408 How many minutes are there between 5:24 PM and 9:38 PM? 254 What is 430 minutes after 2:37 AM? 9:47 AM What is 445 minutes after 10:02 AM? 5:27 PM What is 680 minutes after 12:54 PM? 12:14 AM How many minutes are there between 3:56 AM and 5:34 AM? 98 What is 472 minutes before 5:25 PM? 9:33 AM What is 503 minutes before 1:07 PM? 4:44 AM How many minutes are there between 12:05 AM and 2:12 AM? 127 How many minutes are there between 8:39 PM and 7:57 AM? 678 How many minutes are there between 8:30 PM and 11:09 PM? 159 How many minutes are there between 5:38 AM and 12:37 PM? 419 How many minutes are there between 10:01 AM and 10:45 AM? 44 How many minutes are there between 10:22 PM and 11:11 PM? 49 What is 688 minutes before 12:19 PM? 12:51 AM How many minutes are there between 2:33 AM and 11:28 AM? 535 What is 197 minutes before 6:36 PM? 3:19 PM How many minutes are there between 2:08 AM and 5:35 AM? 207 What is 517 minutes before 3:12 AM? 6:35 PM What is 710 minutes before 9:38 AM? 9:48 PM What is 611 minutes after 8:27 PM? 6:38 AM What is 159 minutes before 4:14 AM? 1:35 AM How many minutes are there between 2:31 PM and 1:14 AM? 643 How many minutes are there between 7:04 PM and 11:57 PM? 293 What is 490 minutes before 9:48 PM? 1:38 PM How many minutes are there between 8:15 PM and 11:58 PM? 223 How many minutes are there between 1:33 PM and 12:35 AM? 662 What is 132 minutes after 1:09 AM? 3:21 AM What is 421 minutes before 3:28 PM? 8:27 AM How many minutes are there between 8:31 PM and 8:58 PM? 27 How many minutes are there between 12:07 PM and 1:23 PM? 76 How many minut
{ "pile_set_name": "DM Mathematics" }
e fifth smallest value? (a) 19 (b) -1/2 (c) 0.3 (d) 1.13 (e) 5 (f) 2/3 (g) -4/9 d What is the third biggest value in 35/13, 1, -4, 0.3, -2, 5? 1 Which is the fifth biggest value? (a) 0.08 (b) -1/5 (c) 27 (d) 0 (e) 9/55 b What is the fourth biggest value in -3, -17, -1/7, 6/7, 4, -389? -3 Which is the third biggest value? (a) -0.099 (b) 2 (c) 2/29 (d) -0.5 (e) -18 a What is the second smallest value in -18/7, 2/3, 9/2629, 6/13? 9/2629 What is the biggest value in 0.054, -4, -0.1, -5, -39, -3, -0.5? 0.054 What is the fifth biggest value in 0.5, -5, -1/7, 4, 40385, -13, -4? -4 What is the third biggest value in -1/5, -23, 1, 189, -12/13, 10? 1 Which is the fourth smallest value? (a) 1/10 (b) -3 (c) 6/1539947 (d) 0.3 d Which is the second smallest value? (a) -4 (b) -51212 (c) -2938 c What is the biggest value in 35760, 4, -18/5? 35760 Which is the fourth biggest value? (a) 63 (b) -0.035 (c) 3/7 (d) 2/167 (e) 0.6 d What is the second smallest value in 40, 4/7, 3, -365224? 4/7 Which is the second biggest value? (a) 1018 (b) 0.07 (c) -232 (d) -6/13 b Which is the fourth biggest value? (a) 1/285 (b) 12 (c) 56 (d) -2/3 d Which is the third biggest value? (a) -3/1171 (b) 1 (c) -1/3 (d) 2/17 a What is the fourth smallest value in 3, 1, 0.2, -1, 52, -3.35, -2? 0.2 Which is the second smallest value? (a) 0.7 (b) -3 (c) -4/5 (d) -2 (e) 5 (f) 0 (g) 104 d Which is the second biggest value? (a) 106/35 (b) 11 (c) -2 (d) -0.5 (e) -1/5 a Which is the second biggest value? (a) -261 (b) 4 (c) -15597/4 a Which is the fourth biggest value? (a) 2/5 (b) 3717 (c) 0.2 (d) 0.04 (e) 1 (f) -51 c Which is the third smallest value? (a) -4 (b) -1 (c) 39/458 (d) 5 c What is the biggest value in -71/2, -72718, 1/2, -3? 1/2 What is the third smallest value in -0.03, 0.662824, 74? 74 Which is the smallest value? (a) -416 (b) 1 (c) 11 (d) -6 a Which is the third smallest value? (a) 30737327 (b) -0.2 (c) 0.9 a Which is the third biggest value? (a) -2 (b) 1323 (c) -43/2 c What is the third biggest value in -38, -2, -19, -37785? -38 What is the fifth biggest value in -0.3, 3, 0.5, -1437/5, -4, -5/24, 0? -0.3 Which is the smallest value? (a) -0.03 (b) -1 (c) -0.561 (d) 5 (e) -2/9 (f) -1/2 b Which is the third biggest value? (a) -0.5 (b) 613/496 (c) 3 a What is the fourth biggest value in 0.0567, -0.4, -2, 0.1, -0.6, 2? -0.4 What is the seventh smallest value in -2/5, 4, 25, 1/10, 2, 1/4, -57118? 25 What is the fifth smallest value in -0.1, 146, 11/2, -5, 1/5, -0.02? 11/2 Which is the fifth biggest value? (a) -74/13 (b) 5 (c) 1 (d) 8/177 (e) 3 a What is the fourth smallest value in -0.2, -47221/4, 0.16, -0.13? 0.16 Which is the biggest value? (a) 5/3 (b) 5 (c) -5/3 (d) -3 (e) 0.1653 (f) -1 (g) -0.3 b Which is the second smallest value? (a) -0.5 (b) -0.009 (c) 7 (d) -53 (e) 1 (f) -1.7 (g) 0.1 f What is the second biggest value in 0.2, -7/9, -3, 636396? 0.2 Which is the second smallest value? (a) 5 (b) -8.7 (c) -2 (d) 0.4 (e) 1/4 (f) -9118 b Which is the fifth smallest value? (a) 78 (b) -5 (c) -1/97 (d) -1/5 (e) -3/4 (f) 2/11 (g) 0.3 f Which is the sixth biggest value? (a) 2/15 (b) 1 (c) -39631 (d) 0.5 (e) -0.4 (f) -38 c Which is the fourth biggest value? (a) -3/2 (b) -1.922 (c) 3 (d) 2/13 (e) -1/7 (f) -2 (g) -31 a What is the third biggest value in -5, -8, -0.3, 50, -1/9, -8.47? -0.3 Which is the biggest value? (a) -2 (b) 10 (c) 1063012 c What is the third smallest value in 8212, -399, 0.2, -13, 0.4? 0.2 Which is the biggest value? (a) -0.341 (b) -2/7 (c) 0.16 (d) 0.1 (e) 3 e What is the second smallest value in -8, -205, -1/182167? -8 Which is the second smallest value? (a) 125/2 (b) 2/7 (c) -33 b What is the third smallest value in -0.3, 47.8, -0.65, 49? 47.8 What is the fourth smallest value in -2, 17.169, -0.7, 1, 5? 5 Which is the second smallest value? (a) 2329 (b) -0.4 (c) -26519 b What is the fourth biggest value in -2/5, 753, 0, 2/85? -2/5 What is the biggest value in 78.7, 13997, -4? 13997 Which is the fourth smallest value? (a) -46 (b) 0 (c) -7/5 (d) 0.0173 d What is the smallest value in 0.424, -4, 3142? -4 What is the biggest value in 0.1, -1/2, -11, -342, -3/5, 16.2? 16.2 What is the third smallest value in 0.04, 4233, -2/9, -6? 0.04 Which is the sixth smallest value? (a) 0.7 (b) -2 (c) 21 (d) -4 (e) -3/8 (f) 76254 f Which is the third biggest value? (a) 4 (b) 40 (c) 28 (d) 2 (e) 2/11 (f) 107 c What is the fifth smallest value in 1/6, 35.9, 4, 1/12, 1519, 2/3, 2? 4 Which is the third smallest value? (a) -0.004 (b) 76290 (c) -2/9 b Which is the smallest value? (a) -5628 (b) 5 (c) 0.6 (d) 1/2 (e) -5 a What is the biggest value in -905, 1, 628? 628 Which is the biggest value? (a) 14.57 (b) 0.14 (c) -7/6 (d) 1.9 (e) 2 a What is the biggest value in -2/1414179, 5, 9/5? 5 Which is the smallest value? (a) -7 (b) -3 (c) -724 (d) 1.544 c What is the smallest value in 1.3044785, -0.5, 0.41? -0.5 Which is the fourth biggest value? (a) -108 (b) 2 (c) -4 (d) -48/7 (e) -3/11 d What is the fourth biggest value in 0.3, 0.1, 3/22, 4, -0.2, 5, -0.1? 3/22 Which is the seventh smallest value? (a) 0.1 (b) -0.5 (c) -846 (d) 3/8 (e) -32 (f) -0.2 (g) 10 g What is the sixth biggest value in 4, 25/3547, -40, 1/3, -5, 6? -40 Which is the second smallest value? (a) -4/7 (b) 4515 (c) -24 a What is the second smallest value in 1071, 95, 9? 95 What is the second biggest value in 171, -0.075, 3, 5, 0.4, -0.6? 5 What is the third biggest value in -39.9, -0.1, 6, 1/3, -15, 14, -2? 1/3 What is the second biggest value in 0.71, 3, -1/9, 435/4? 3 Which is the smallest value? (a) -0.29 (b) -1/5 (c) -40/29 (d) -0.1 (e) 106 c Which is the second smallest value? (a) 11300 (b) -0.3 (c) 1/6 (d) -3 (e) 49 b Which is the fifth smallest value? (a) -9 (b) -1 (c) -1/1858 (d) -2 (e) 1/4 e Which is the second smallest value? (a) 0.5 (b) 551 (c) 0.28 (d) -5 c What is the sixth biggest value in 5, 1/4, -2, 0.3, -198, 10, -1/6? -2 Which is the third smallest value? (a) -2 (b) -2/5281 (c) 2935/8 c Which is the seventh smallest value? (a) -0.3 (b) 3/8 (c) 1800 (d) 1 (e) -2/7 (f) 0.2 (g) -0.2 c What is the fifth smallest value in -2, 0.1, -5453, 2/5, -0.05, 0.8? 2/5 What is the sixth biggest value in 35, 2, -0.4, -1/4, -6/2407, 5, 0.2? -1/4 What is the fifth biggest value in 2, -0.3, 2/5, -3/38, -31/244? -0.3 What is the second biggest value in -2/235, -0.2, -15528, 2/11, 0.02? 0.02 Which is the third smallest value? (a) 2123 (b) 45813 (c) -2 b What is the second biggest value in -16283205, 1/7, -0.3, -5? -0.3 Which is the biggest value? (a) -132 (b) 1033 (c) 140 (d) -2/7 b What is the sixth smallest value in 4/5, -5, -1/3, -4, -131, -707? 4/5 Which is the fifth biggest value? (a) 1/8 (b) 15436 (c) 4 (d) -0.5 (e) 1/9 (f) -0.4 f What is the third smallest value in -314, -3/16, 1247? 1247 Which is the seventh biggest value? (a) -1/3 (b) 0.02 (c) -6/5 (d) -47 (e) 0.1 (f) -0.18 (g) -5 d What is the biggest value in -3, -7/4, -29, -0.425, -1/3? -1/3 Which is the smallest value? (a) 52 (b) -0.101 (c) 15 (d) -41 d Which is the third biggest value? (a) -3/2 (b) -1.805 (c) 10773 b Which is the seventh smallest value? (a) 3/4 (b) 6 (c) -5.6 (d) -11 (e) 0.5 (f) -4 (g) -2/9 b Which is the smallest value? (a) -125.736 (b) -4 (c) -42 (d) 5 a Which is the second smallest value? (a) -2 (b) 3/13 (c) 844 (d) 39 b Which is the fourth smallest value? (a) -27/17 (b) -2/9 (c) 1.5 (d) 1/6 (e) 1/15 d Which is the third biggest value? (a) -82 (b) 27.145 (c) -3 (d) 0 c What is the third biggest value in -1/2, -26/3, -1, -2, -1/7, 22? -1/2 What is the third smallest value in 1/5, -2, -5, 3, -5/6, 432? -5/6 Which is the second smallest value? (a) 2293642 (b) -10 (c) -1 c Which is the seventh smallest value? (a) -57 (b) 2 (c) -4 (d) -7/4 (e) 1 (f) 1/8 (g) 49.8 g Which is the third biggest value? (a) -3 (b) 2908 (c) 26 (d) -7 a Which is the second biggest value? (a) 141/8 (b) -2 (c) 6/23 (d) 3.6 (e) -10 d What is the fourth smallest value in 0.609, -14.4, -3, -1/21? 0
{ "pile_set_name": "DM Mathematics" }
the smallest value? (a) m (b) -44 (c) 1 (d) 2/3 b Let s(f) = 2 + 9 - 4*f - f + 4*f. Let v be s(11). Suppose v*w = 5*w - 25. Which is the biggest value? (a) 1/4 (b) w (c) 2/5 b Suppose 0 = 2*r - 9 + 7. Suppose -4*f + r = -23. Let i be f/8 + (-1)/4. Which is the third biggest value? (a) 3 (b) 2 (c) i c Suppose -1 = 3*s + 5*o - 4, -5 = 5*s + 5*o. Let l = -1 - s. Let j be (-2)/(-3)*(4 + 19/(-4)). What is the biggest value in l, 0.3, j? l Let v = -14.944 - -15.5. Let r = -0.056 + v. Which is the third biggest value? (a) r (b) 0.1 (c) 3 (d) -1 b Let w be 1 - (0 + -1)/(1/1). Which is the second smallest value? (a) 5 (b) 0.7 (c) w (d) 0 b Let h(w) = -w + 2. Let r be h(-2). Let f = -3.541 - 0.059. Let q = f - -1.6. Which is the smallest value? (a) q (b) 0 (c) r a Let b = 334 - 330. What is the smallest value in b, 5, -172? -172 Let f = 995 + -999. Let o = 18 + -13. Which is the second smallest value? (a) f (b) -1 (c) o b Let a = 1 + -3/4. Let y(q) = -2*q - 4*q + 4*q + 0*q - 3. Let g be y(0). What is the smallest value in 0.8, a, g? g Let h = 188.6 + -188.9. What is the second biggest value in -4, 25, 3, h? 3 Let g = 0.5 + -33.1. Let d = g - -33. Let h = 0 - d. Which is the third biggest value? (a) -3/5 (b) h (c) -1 c Suppose -4*k + n = -23, 5*k - 14*n + 16*n - 19 = 0. Which is the third smallest value? (a) -5 (b) k (c) -1 (d) 0.1 d Let w = 12 - 4. Let o = -13 + w. Which is the third smallest value? (a) o (b) -2 (c) -1/2 c Let v = 3.3 + -31.3. Let d = -480.7 + 509. Let c = v + d. What is the biggest value in c, -0.1, 0.4? 0.4 Let d = 291/182 - 9/91. What is the smallest value in d, 5, -3, -2/9? -3 Let o = 3.95 - -0.01. Let p = o + 0.04. Let q = -580 + 575. What is the third biggest value in 0.2, p, q? q Suppose 0 = w - 4 + 11. Let g = -8 - w. Which is the second biggest value? (a) -3 (b) g (c) -0.5 b Let v = -1036/1209 + 21/31. Let c = v - -1/3. What is the second biggest value in c, 0.3, 2? 0.3 Suppose -39*j + 3*h + 22 = -41*j, -23 = 3*j + 2*h. Which is the third biggest value? (a) 4/3 (b) 27/5 (c) j c Suppose 0 = 3*k + 17*k + 100. Which is the second smallest value? (a) -2 (b) 5/7 (c) k a Let z = -14938/9 - -1660. What is the third smallest value in -2/17, z, -2, -3? -2/17 Let z = 151 - 86. Let p = z - 61. Let o be (-3)/(-5) + 0/(-2). Which is the smallest value? (a) -5 (b) p (c) o a Suppose 0 = -5*x + 5*f, x - 2*f + 5*f - 20 = 0. What is the third smallest value in -0.3, x, -1? x Let n = -29.93 + 30. Let t = n - -6.93. What is the third biggest value in -1, 4, t? -1 Let t = 21 + -58. Let b = t - -40. Let z = 461/195 + -29/13. What is the third biggest value in 2, z, b? z Let k = 13 + -13. Suppose q + 196 = -6*q. Let w be 8/(-14) + q/(-98). Which is the second smallest value? (a) k (b) w (c) 5 a Let w = -359/105 + 76/21. Suppose -2*u = 1 + 7. Which is the third biggest value? (a) -0.2 (b) u (c) 0.5 (d) w a Let d = -1 + 0.9. Let o = 32 + -31. Let l = o + 2. Which is the second biggest value? (a) 4 (b) l (c) d b Let c = 66 + -67. What is the fourth smallest value in 0, c, 0.2, -0.8? 0.2 Suppose 3 = -2*o + r - 9, 3*r + 8 = -5*o. Which is the third smallest value? (a) 2/7 (b) o (c) -0.7 (d) 17 a Let j be 1/((-24)/28 + 1). Let w(n) = n**2 - 7*n - 1. Let h be w(j). Which is the third biggest value? (a) -2 (b) h (c) 7 a Let j = -35.9 - -32. Let o = j - -1.4. Let l = o - -3. What is the biggest value in l, -0.7, -1? l Let x be (407/(-286))/(3/(-6)) - 3. Let u = 0.07 - 0.27. Which is the second biggest value? (a) u (b) -1 (c) x a Let q = -0.47 - 0.03. Let y = q + 0.78. Let s = -0.02 - y. Which is the second smallest value? (a) -0.1 (b) s (c) -3 b Suppose 7*y + 120 = 2*y. Let m be 726/4*8/y. Let w = 59 + m. Which is the third smallest value? (a) 0.04 (b) w (c) 2 c Let v = 103 - 58. Suppose u + 4*u + 5*y = v, -5*y + 15 = 0. Suppose d - 3*p = -u*p - 11, -d - 13 = 4*p. Which is the smallest value? (a) d (b) 2/5 (c) 1/9 a Suppose 5*l + 3*j = 20, 3*l - 31 = -5*j + 7*j. What is the third biggest value in 2/17, -1/2, l? -1/2 Let q = 10 + -6. Let o = 1 + 0. Let a = q - o. What is the smallest value in -0.2, a, -5? -5 Suppose -443 = 11*i - 1664. Let s = -107 + i. What is the third biggest value in 5, -1/2, s? -1/2 Suppose 6*s = 46 - 58. Which is the fourth biggest value? (a) s (b) 0.1 (c) -8/11 (d) 0.4 a Let x(k) = k**3 - k**2 + k - 6. Let d be x(0). Let m be ((-1)/16)/((-1)/d). Let z = 5.129 + -0.129. Which is the biggest value? (a) z (b) -1/6 (c) m a Let q be ((-378)/(-105))/((-6)/20). Let i(y) = 2*y**2. Let u be i(2). Let n = u + q. Which is the second biggest value? (a) 0.1 (b) -0.2 (c) n b Let l = -0.9046 - -4.9046. Let t be 22/56 - 1/4. What is the biggest value in t, l, -0.2? l Let p = 313/2312 - 3/289. Which is the third smallest value? (a) 0.38 (b) p (c) 0 a Let x = -1179.2 + 1179. Which is the smallest value? (a) x (b) 3 (c) 18 a Let g = 0.072 - -1.928. Let z = 0.8 - -2.2. Which is the smallest value? (a) g (b) z (c) -0.2 c Let v = -60 + 54. What is the biggest value in v, -8, -2/9? -2/9 Let o be (-4 + 1)*(-9)/((-243)/45). Suppose -4*g + 9*g + 5 = 0. What is the smallest value in 4, g, o? o Suppose 4*o + h + 179 = 4484, -4*h - 1089 = -o. Let q = o + -22606/21. Let y = -6/7 + q. Which is the smallest value? (a) y (b) 4 (c) 1/8 a Let v = 10.9 + -1.7. Let g = -13.2 + v. Which is the fourth smallest value? (a) 0 (b) -1 (c) g (d) -3/2 a Let q be (-3 - -5) + -2 + 0. What is the second biggest value in -2/9, -98, q, -0.5? -2/9 Let u = 4 + -6. Let y = -126.08 - -126.48. Suppose -2*k = 3*j - 4*j - 24, 3*k - 3*j - 36 = 0. Which is the smallest value? (a) k (b) u (c) y b Let u = -0.13 - -3.13. Let q = -8 + -1. What is the biggest value in u, -5/2, 1, q? u Suppose -21 - 23 = 22*j. Let y = 3327/7 - 18574/35. Let g = 55 + y. What is the second biggest value in j, g, 1? g Let t = -89/90 - -14/15. What is the third biggest value in -2/3, -2/7, 3, t? -2/7 Let x = 35.9 + -36.2. Which is the fourth biggest value? (a) -8 (b) -0.2 (c) x (d) 2/11 a Let g = 43 + 17. What is the smallest value in -3, 4, g? -3 Let c = 158.9 - 155.9. What is the second biggest value in -1, 1, 1/6, c? 1 Suppose -50*q - 392 = -57*q. Which is the biggest value? (a) 2 (b) 3 (c) q c Suppose -2*l = -3*l + 43. Let v = 345/8 - l. Which is the third smallest value? (a) 0.1 (b) -10 (c) v c Let z = 81 - 85. Which is the fourth biggest value? (a) -1 (b) 3 (c) z (d) -0.5 c Let l be -4 - ((-4)/14 - (-452)/(-133)). Let j = 5/76 + l. What is the fourth smallest value in -0.5, j, 1, -2/7? 1 Let m = 0.9 - 2.9. Suppose 3*l = -3*z - 60, 5*z + 2 = l - 2. Let u be (-10)/l*45/75. Which is the third biggest value? (a) 0.1 (b) u (c) m c Let y = 22 + -49. Let i = 30 + y. What is the biggest value in 0.5, 4, i? 4 Let u = 5.98 - -5.02. What is the biggest value in -4, 2/7, u? u Let u = -70/3 + 43/2. What is the third biggest value in -4, u, -2/5? -4 Let a be 1 - (-6)/(1 - -2). Suppose -5*h + 6*r - a*r = -14, -2*r = 5*h + 1. Let b = h - 4. What is the third smallest value in b, -2/13, -0.2? -2/13 Let v(d) = 21*d + d**3 - 14 + 4 - 10 - d**2 - 20*d**2. Let g be v(20). Which is the third biggest value? (a) -0.04 (b) g (c) -2 c Let h = -0.01 - 0. What is the second smallest value in h, -3/5, -2/15, 0.07? -2/15 Suppose -10 = x + x. Let l = -2.77 - -2.67. What is the second smallest value in x, l, -9? x Let t = 83.5 - 85. Let s = 1.5 + t. What is the second biggest value in -0.2, 0.4, s? s Let k = -55.5 - -22. Let m = -34 - k. What is the biggest value in -0.01, 0.4, m? 0.4 Let n = -2.5 - -2.7. Let u(y) = -y**2 + 9*y + 4. Suppose -42*h + 39*h + 30 = 0. Let z be u(h). Which is the third biggest value? (a) n (b) -2/7 (c) z c Let v = -23.7 - -24. Let i = v - 14.3. Let n = i - -12. What is the second smallest value in -0.5, n, -1? -1 Suppose 2 = s - 4*y, -s - 6 = 3*s - 2*y. Suppose x = -4*x + 1550. Let m be x/(-180) - 4/(-18). What is the second smallest value in m, s, 0.5? m Let l = -12 - -11. Let z = -149 - -149.03. What is the third smallest value in -0.4, l, z, -4/3? -0.4 Let p = -556.5 + 556. Let q be 3/(-6)*1/(-4). Which is the second biggest value? (a) q (b) p (c) -3 (d) 0.1 d Let u = -50 + 37.1. Let
{ "pile_set_name": "DM Mathematics" }
vide -116601 by -5. 116601/5 Calculate -3942600 divided by -26284. 150 Calculate 14085 divided by 3. 4695 Divide -5 by 204157. -5/204157 -56751 divided by 3 -18917 Calculate 3 divided by -3761. -3/3761 -582420 divided by -58242 10 What is 5 divided by -67988? -5/67988 346290 divided by -210 -1649 -247796 divided by -123898 2 Divide -2101993 by -1357. 1549 10383 divided by 4 10383/4 Calculate -15840 divided by 330. -48 -165 divided by 1270 -33/254 What is -56100 divided by -340? 165 What is 180 divided by -353? -180/353 What is -942196 divided by 4322? -218 Calculate -287522 divided by -6. 143761/3 -22844 divided by -6 11422/3 -33 divided by -7716 11/2572 -768 divided by -3 256 -174774 divided by 6 -29129 What is -5 divided by 183026? -5/183026 Calculate -2 divided by -18472. 1/9236 What is 3652 divided by -22? -166 Divide -27284 by -1436. 19 What is 121689 divided by -13521? -9 Divide 44977 by 6. 44977/6 -121986 divided by 6 -20331 Divide 1430035 by -15053. -95 Calculate 48748 divided by -3482. -14 What is 1447686 divided by -54? -26809 -1661 divided by 13 -1661/13 What is 1179 divided by -250? -1179/250 Divide -2 by -286964. 1/143482 Divide 98724 by 6. 16454 What is -1800 divided by 1800? -1 What is -186888 divided by -1198? 156 Calculate 1597280 divided by -4. -399320 Divide 1067578 by 17219. 62 -46560 divided by -11640 4 What is -1416 divided by -5? 1416/5 What is 247 divided by -3362? -247/3362 -37120 divided by -58 640 Divide 23782 by 6. 11891/3 51005 divided by 505 101 Calculate 2088400 divided by 130525. 16 Calculate 54642 divided by 27321. 2 What is 4487980 divided by -5? -897596 Calculate 5 divided by 266932. 5/266932 What is -4861 divided by -1? 4861 Calculate 1215295 divided by -5. -243059 What is 6188 divided by -476? -13 Divide 57 by 11183. 57/11183 What is 75 divided by 16? 75/16 Divide 592260 by 29613. 20 1221 divided by 317 1221/317 What is -925 divided by -919? 925/919 Divide -52879 by -6. 52879/6 What is -153714 divided by -51238? 3 Divide -173632 by -21704. 8 Divide -4684332 by 3. -1561444 0 divided by 7958 0 What is 338 divided by -1108? -169/554 What is -45885 divided by -161? 285 Calculate 24327 divided by 901. 27 Calculate -2 divided by -1409404. 1/704702 -1 divided by 329 -1/329 Calculate 22 divided by 2317. 22/2317 Calculate 6193293 divided by 1. 6193293 -2 divided by 121655 -2/121655 What is 96918 divided by 6? 16153 422 divided by -51 -422/51 Calculate -7 divided by -536. 7/536 -1 divided by -134699 1/134699 Calculate -290756 divided by 2. -145378 Divide -18050 by 5. -3610 Calculate 16632 divided by -1512. -11 Divide -8860 by -2. 4430 What is -12784 divided by 3196? -4 What is -21061 divided by -1? 21061 54925 divided by -1 -54925 -241034 divided by 9 -241034/9 -4993431 divided by -3 1664477 -596124 divided by -10278 58 What is 552948 divided by 276474? 2 What is 536945 divided by -31585? -17 Calculate 603 divided by 79. 603/79 Divide -640455 by 5. -128091 Divide -310950 by -34550. 9 -1 divided by 31702 -1/31702 Calculate -4 divided by -475738. 2/237869 -16 divided by -4285 16/4285 What is -8425 divided by 1685? -5 What is -5 divided by -21338? 5/21338 Calculate 8685 divided by 2895. 3 What is 543403 divided by 1? 543403 Calculate -251 divided by 124. -251/124 Divide -3799 by 32. -3799/32 What is 2643363 divided by 881121? 3 What is 152 divided by 27? 152/27 Calculate 2 divided by -14279. -2/14279 What is -311950 divided by 31195? -10 Divide -1131657 by 4. -1131657/4 Calculate 181 divided by 158. 181/158 27 divided by 18159 9/6053 Calculate 348492 divided by -113. -3084 Divide -960 by 358. -480/179 What is -425046 divided by 6? -70841 Divide 647 by -5437. -647/5437 What is 1793 divided by 3? 1793/3 10 divided by -11752 -5/5876 What is 287325 divided by 57465? 5 Divide -670 by 785. -134/157 2 divided by 30102 1/15051 Calculate -21 divided by -31005. 7/10335 805620 divided by -174 -4630 What is 48618 divided by -219? -222 Calculate -12033 divided by 3. -4011 What is 455316 divided by 11982? 38 Calculate 39414 divided by 2. 19707 Divide -1243694 by -2378. 523 Divide -103065 by 20613. -5 Calculate 70395 divided by -1235. -57 Divide 52182 by 17394. 3 1613 divided by -10 -1613/10 Divide 946440 by -55. -17208 10416 divided by 3 3472 Divide 9792 by -72. -136 -6 divided by 343955 -6/343955 1165352 divided by -2 -582676 -263232 divided by 65808 -4 Divide -538668 by -78. 6906 Calculate 110 divided by 771. 110/771 Calculate 473710 divided by 5. 94742 What is -3 divided by -700552? 3/700552 Calculate 4644834 divided by 1548278. 3 What is -4040 divided by -5? 808 What is -6689437 divided by -1? 6689437 -78 divided by -78 1 17640 divided by -30 -588 -3932 divided by 1 -3932 Calculate -715636 divided by 2. -357818 3674067 divided by 421 8727 5336 divided by -58 -92 What is -5 divided by -79458? 5/79458 Calculate 148842 divided by -24807. -6 Calculate -39865 divided by 5. -7973 Calculate -79913 divided by 1. -79913 Calculate -1924 divided by -8. 481/2 Calculate -338382 divided by -15381. 22 Divide -3333020 by -85. 39212 Divide -1393 by 58. -1393/58 Calculate -5 divided by 231251. -5/231251 Divide -2485548 by -2. 1242774 -139812 divided by -183 764 Calculate -22 divided by -7222. 11/3611 -25650 divided by -675 38 Calculate -754 divided by 377. -2 -990 divided by 107 -990/107 What is -6178 divided by -34? 3089/17 0 divided by 7804 0 Calculate -726 divided by -18. 121/3 Divide -38723 by 3. -38723/3 11405 divided by -4 -11405/4 Calculate -1094778 divided by 18. -60821 263 divided by -2 -263/2 Calculate -20384 divided by -637. 32 -143059 divided by 749 -191 What is 275315 divided by 5? 55063 What is 1227 divided by -54? -409/18 Calculate 65 divided by 11303. 65/11303 What is 1 divided by 19356? 1/19356 Calculate 1416 divided by -242. -708/121 -212691 divided by 2 -212691/2 Divide -4773 by 129. -37 Calculate -256179 divided by 7. -36597 1995 divided by -11 -1995/11 Calculate 1359462 divided by -39. -34858 What is -42581 divided by -79? 539 Divide 1324290 by -132429. -10 -69108 divided by -11518 6 Calculate -4 divided by -19775. 4/19775 What is -2595 divided by -89? 2595/89 Calculate 1097 divided by -646. -1097/646 Calculate -245395 divided by 85. -2887 Divide 2 by -13005. -2/13005 Calculate -85 divided by 2095. -17/419 -1 divided by 497828 -1/497828 -4810 divided by 1 -4810 Divide -487944 by 6777. -72 Calculate 8745 divided by 3. 2915 -3001075 divided by -7795 385 Calculate -16218 divided by -306. 53 -2 divided by 3872 -1/1936 Divide 404352 by 2496. 162 Divide 477891 by 9. 53099 Calculate 5136 divided by -856. -6 Divide 103100 by 7. 103100/7 68389 divided by -4 -68389/4 What is -196479 divided by -196479? 1 What is -59616 divided by -1? 59616 Divide 360050 by 38. 9475 Calculate 37553 divided by -4. -37553/4 What is -5 divided by -1592? 5/1592 Calculate 1948 divided by -23. -1948/23 What is 4172 divided by 165? 4172/165 2239202 divided by -6 -1119601/3 What is -25353 divided by -1? 25353 80938 divided by -17 -80938/17 Calculate 2685 divided by 488. 2685/488 What is 7763 divided by -22? -7763/22 What is -1336905 divided by -445635? 3 Calculate -2 divided by -318801. 2/318801 Divide -14189 by -1. 14189 What is -11250 divided by -75? 150 Calculate -253 divided by 98. -253/98 Divide 2176 by -4. -544 Divide 228 by -7. -228/7 -1540272 divided by -8 192534 What is -33995 divided by 33995? -1 What is 319977 divided by 9? 35553 What is 3 divided by 257951? 3/257951 What is -468 divided by -86? 234/43 1 divided by -52155 -1/52155 What is 9 divided by -102163? -9/102163 -824170 divided by 365 -2258 What is 15012 divided by 5004? 3 9583 divided by -5 -9583/5 Divide 298 by -301. -298/301 What is 4 divided by -932752? -1/233188 Divide -118824 by 19804. -6 Divide 169390 by 84695. 2 283002 divided by 283002 1 Divide 24 by -9209. -24/9209 What is 1 divided by 381? 1/381 What is 17867 divided by -1051? -17 Divide 1146308 by 2. 573154 What is 592 divided by 10? 296/5 -54405 divided by -3627 15 What is 73427 divided by -727? -101 Calculate -250 divided by -2266. 125/1133 What is 145264 divided by -1297? -112 Divide -214475 by 12. -214475/12 Calculate -28649 divided by -6. 28649/6 What is 110681 divided by 10? 110681/10 Calculate -254 divided by 76. -127/3
{ "pile_set_name": "DM Mathematics" }
Let a(i) = 9*i + 7. Let k be a(s). Let t = k + -87. Does 14 divide t? False Suppose 0 = 12*n - 5 - 7. Let x = 30 - 20. Let q = x - n. Is 2 a factor of q? False Is 32 a factor of ((-19351)/(-11) - (-32)/(-176))*1? False Suppose 3633 + 1427 = 11*d. Does 5 divide d? True Suppose 3*d + 465 = l - 132, l = -5*d + 557. Suppose 0 = -4*n + 5*i + l, -3*n - 4*i + 135 = -2*n. Is 13 a factor of n? True Let o(g) = -16*g - 25. Let q(a) = -2*a - 13. Let h(i) = -3*i - 13. Let y(r) = 6*h(r) - 5*q(r). Let w(j) = -3*o(j) + 5*y(j). Is 14 a factor of w(4)? True Let c(k) = k + 3. Let z be c(0). Suppose z*n + 9 = 0, -2*x + 0*n + 100 = -4*n. Does 11 divide x? True Suppose 1188*j - 1199*j = -2794. Does 4 divide j? False Let s = -9 - -14. Let i = s + -8. Let l(j) = 3*j**2 + 2*j. Does 9 divide l(i)? False Suppose 0 = -3*q - 3*n - 150, q = -3*n - 66 + 10. Let b = 137 + q. Does 13 divide b? False Let y be (0 - 1) + 12/(-2). Let s = -3 - y. Suppose 10 = n + d, 0*n + 25 = 3*n + s*d. Is n a multiple of 5? True Let m(w) = 0*w + 4*w**3 + 16*w**3 - w - 1 + 2*w**2 + 10*w**3. Does 3 divide m(1)? True Suppose -x - 5*m + 2494 = 0, 10*x + 7442 = 13*x - 5*m. Is 9 a factor of x? True Let r(g) = -3*g - 19. Let u be r(-8). Let o = u + -8. Is -1 + 7 + o + 3 a multiple of 4? False Suppose -3*x - 2*r + 6 = -16, 5 = -5*r. Let a(d) = d**2 - 3*d - 6. Let q be a(x). Does 23 divide (-51)/q - (-282)/4? True Suppose 0 = -4*w - 7*m + 8*m - 286, 5*w + 345 = -5*m. Let c = w - -95. Is c a multiple of 3? True Suppose -5*g - 2 = 3*x, 0*g - 2*g - x = 0. Suppose -3*c + 2*c - 3*f = -85, -c = g*f - 84. Suppose 5*q = 2*z - 87, 6*z - 4*z - c = 4*q. Does 9 divide z? False Let d be 14/35 + (-5)/(25/(-63)). Does 9 divide d + -1*(-4 - -2)? False Suppose 0 = 3*i, -3*m - 3*i = -0*m + 15. Suppose -10*c = -c + 81. Is (c/m)/(2/10) a multiple of 3? True Let m(f) = 2*f + 1. Let d be m(7). Let s = -11 + d. Suppose -s*n + 5 = -15. Is n even? False Let x(s) = 18 + 8*s - 4*s + 7 + 12*s - s**2. Is x(17) even? True Let q be -4 + (-4 - (-8)/12*9). Does 14 divide (-2 - 71*6)*q/4? False Let g(x) = -13*x - 5 + 7 - 1. Let i be g(-5). Suppose 289 = 5*j - i. Does 24 divide j? False Suppose 4*m - 16 = -8. Does 13 divide (-4)/(-4 + m) + 59? False Let s(n) be the first derivative of 2*n**3/3 - 3*n**2/2 + 6*n + 16. Is s(11) a multiple of 43? True Is (-684)/(-4) + (12 - 9) a multiple of 23? False Suppose 6*l - 2399 = -4*f + l, -5*f - 4*l + 3001 = 0. Let w = 859 - f. Let x = -159 + w. Is 33 a factor of x? True Let r(t) = -2065*t - 111. Is r(-2) a multiple of 20? False Let d(t) be the third derivative of -t**6/120 + 2*t**5/15 - 7*t**4/24 - 4*t**3/3 + 2*t**2. Is d(6) a multiple of 22? True Suppose 5*r = -10, -5*n + 2*r = -46 - 33. Suppose -2*l + 2*j + 54 = -2*j, -4*l = -3*j - 118. Let p = l + n. Is p a multiple of 27? False Let p(h) = 227*h**2 - 2*h + 1. Let t be p(1). Let o = t + -157. Is o a multiple of 12? False Let a(b) = -b + 17. Let t be a(13). Suppose t*h - 160 = 2*u + 3*u, -4*h + 2*u = -172. Is h a multiple of 9? True Suppose 0 = -12*h + 5*h + 1470. Does 14 divide h? True Let q = -66 + 930. Is 24 a factor of q? True Does 14 divide -4 + 1 + 10 - -49? True Let z(w) = w**3 + 5*w**2 - 4. Let o be z(-5). Does 25 divide 2 + -2 + (71 - o)? True Let y(o) = -3*o + 35. Let d be y(10). Let n(j) = j + 68. Let p be n(0). Suppose d*z = -20, 0 = -2*v + z + z + p. Is v a multiple of 13? False Let x(v) = -43*v - 552. Is 8 a factor of x(-32)? True Suppose -53*m = -56*m + 3. Is 33 a factor of -1*m*(-352 - -3)? False Suppose 4*p = -i + 1772 + 862, 4*p + 2*i = 2636. Is 37 a factor of p? False Let n be (822/(-4))/(24/(-32)). Suppose 2*g = 4*f - n, -4*g + 67 + 282 = 5*f. Does 13 divide f? False Suppose 3*r - 4*a = -2*r + 55, r = -2*a - 3. Suppose 393 = r*u - 4*u. Let h = u + -74. Is 30 a factor of h? False Let b = -5 + 9. Suppose 0 = -4*t - 3*p + 9, -5*t + 0*p - b*p = -12. Suppose -4*f - 138 + 366 = 3*o, -3*o = t. Does 19 divide f? True Let n be (-10)/6*(-3 - 0). Suppose -2 - 13 = n*z. Is 4 a factor of 2 + (z - -8) + -3? True Is 0 + (-6)/(-12) + (-325)/(-10) a multiple of 3? True Let l(u) = -5*u + 8. Let m be l(-8). Let d = m + -31. Is d a multiple of 12? False Suppose -5*p = 2*p + p. Suppose p*q = 4*q - 192. Does 12 divide q? True Let r = -4567 - -7258. Suppose -r = -3*g - 0*g. Is g/9 + 4/(-6) a multiple of 24? False Suppose -69*b = -82*b + 7020. Does 4 divide b? True Suppose b - 6*b = -210. Let s = -40 + b. Is s a multiple of 2? True Let a(w) = w**3 - 44*w**2 + 148*w + 96. Is a(41) a multiple of 19? True Suppose -187*z + 163*z = -1560. Does 14 divide z? False Suppose 0 = -32*g - 4*g - 2340. Suppose 2*n + 266 = 8. Let z = g - n. Is 13 a factor of z? False Suppose 5*u + 24 = y, -2*y - y - 5*u = 8. Suppose y*m = 5*m - 55. Does 14 divide m? False Let u(o) = 69*o**3 + o**2 + 2*o - 3. Does 40 divide u(1)? False Let n(o) = o**2 + 8*o + 7. Let l be 2/((-48)/21 - -2). Let h be n(l). Let i = 3 - h. Is 3 a factor of i? True Let c(v) = -18*v - 25. Let i be c(7). Let b = -95 - i. Does 12 divide b? False Suppose 2*j + j - 1294 = -2*k, 0 = 5*j + 4*k - 2158. Is j a multiple of 10? True Suppose 4*l - 5 = -37. Let d be (l/(-5))/(6/(-45)). Let w = d - -15. Is w a multiple of 2? False Is (-1)/3*-3 - -59 a multiple of 2? True Suppose -b + 2*x + 15 = 0, 0*x - 107 = -5*b + 2*x. Let f = 14 + b. Is f a multiple of 4? False Let a = -383 + 783. Is 18 a factor of a? False Suppose 10 = -0*n + 5*n. Suppose 4*w - n*w = 36. Let k = w + -10. Is k a multiple of 4? True Let z = 291 + -25. Suppose -28*u + 27*u = -z. Is u a multiple of 20? False Let y(i) = -33*i + 790. Is y(-25) a multiple of 7? False Suppose -266 - 178 = -4*b. Suppose -7*k + 12*k + 5*q = 265, 3*q = 2*k - b. Is 9 a factor of k? True Let v = -189 - -444. Is 10 a factor of v? False Let k(l) = -14*l - 19. Is 13 a factor of k(-3)? False Let h(z) = -z - 1. Let u be h(-10). Is 10 a factor of ((-300)/u)/(-5)*(-42)/(-4)? True Suppose 0 = 8*u - 4*u - 20. Suppose u*c - 4 = 81. Does 11 divide c? False Suppose -5*p = -3*p - m - 1069, -3*p - 2*m + 1614 = 0. Is 11 a factor of p? False Is 11 a factor of ((-28)/(-5))/(74/2035)? True Let d(p) = -p**2 + 20*p - 10. Does 3 divide d(7)? True Let o(j) = j - 6. Let m be o(10). Let z(l) = -27*l**3 + 46*l**3 - l**2 + 4*l - 17*l**3 - 3. Does 28 divide z(m)? False Let l(c) = 32*c**2 - 8*c - 37. Does 69 divide l(-10)? True Let o = 458 + -423. Is 2 a factor of o? False Suppose -c = -5*c + 16. Suppose -c*g + 5*i + 28 = 0, 5*g = 4*i + i + 40. Let z = 48 + g. Does 20 divide z? True Suppose -3295 = -8*v + 2585. Is v a multiple of 49? True Let p(v) = -v**2 - 13*v + 7. Let b be 6/((15/10)/(-3)). Is 4 a factor of p(b)? False Suppose 21*p - 10 = 19*p. Is 7 a factor of 4 + p/((-5)/(-26))? False Suppose -3*w = -4*w. Suppose 5*k + 2*k - 133 = w. Let v = -8 + k. Does 2 divide v? False Let t(z) = -3*z**3 - 3*z**2 - z - 9. Is 6 a factor of t(-3)? True Suppose -4*y - 6 = -5*l, y + 3*l - 3 = 2*l. Is 8 a factor of (y - 1) + (1 - -24)? False Suppose 126 = -0*c - 14*c. Suppose y + 220 = -3*y. Is (-6)/c*-3 - y a multiple of 19? False Let a(h) = h**3 + 3*h**2 + 3*h + 8. Is a(4) a multiple of 7? False Suppose -66*f = -71*f + 1145. Is 2 a factor of f? False Suppose 0 = 2*a - w - 557, 3*a + 72*w - 852 = 68*w. Is a a multiple of 6? False Let z = -485 - -863. Is 21 a factor of z? True Let r = -724 - -1668. Does 59 divide r? True Let f = 29 + -27. Suppose 5*q - f*q = 102. Is q a multiple of 17? True Suppose -6*r = -16*r + 3610. Is 19 a factor of r? True Let l = 113 + -107. Does 26 divide (2 - -4)*2*143/l? True Suppose -6*i + 3 = -3*i. Let b be (-1)/((-1)/3*i). Suppose y - 38 = g, b*y + 2*g - 48 = 66. Does 11 divide y? False Let l = -126 - -132. Suppose 0 = -l*u - 14*u + 780. Is 13 a factor of u? True Let h(u) = 12*u**2 - 11*u + 18. Let l be h(6). Let p = -216 + l. Is p a multiple of 14? True Suppose 126 = -22*i + 1512. Does 9 divide i? True Let a = 36 - 28. Let w = 2 + a. Suppose 9*n = w*n - 90. Is 30 a factor of n? True Let k = 87 + -158. Let c = k - -87. Does 3 divide c? False Suppose 25 = 4*s + 9. Suppose 2*k - s*a - 40 = 128, 5*a = 2*k - 169. Is 12 a factor of k? False Suppose 0*u + 5*u = 0. Suppose -2*f + 3*k = -111, u*f - 43 = -f + 4*k. Suppose 0 = -5*m - 15, m = -j + 3*m + f. Does 19 divide j? True Let n be -6*(-4)
{ "pile_set_name": "DM Mathematics" }
8101 is divided by 368. 5 What is the remainder when 5159 is divided by 1017? 74 What is the remainder when 15580 is divided by 51? 25 Calculate the remainder when 142512 is divided by 321. 309 What is the remainder when 2200 is divided by 50? 0 Calculate the remainder when 9672 is divided by 538. 526 What is the remainder when 1462 is divided by 799? 663 What is the remainder when 12936 is divided by 57? 54 What is the remainder when 145255 is divided by 59? 56 What is the remainder when 11412 is divided by 345? 27 What is the remainder when 3942139 is divided by 53? 52 Calculate the remainder when 38309 is divided by 485. 479 Calculate the remainder when 19874 is divided by 681. 125 Calculate the remainder when 137655 is divided by 411. 381 Calculate the remainder when 4849177 is divided by 501. 499 Calculate the remainder when 196636 is divided by 16. 12 What is the remainder when 97850 is divided by 39? 38 Calculate the remainder when 20438 is divided by 291. 68 Calculate the remainder when 1289142 is divided by 39. 36 Calculate the remainder when 15371 is divided by 5110. 41 Calculate the remainder when 14495 is divided by 604. 603 Calculate the remainder when 45408 is divided by 41. 21 Calculate the remainder when 6366 is divided by 1568. 94 Calculate the remainder when 1868211 is divided by 46. 13 Calculate the remainder when 19102 is divided by 19034. 68 Calculate the remainder when 38595 is divided by 19294. 7 What is the remainder when 375 is divided by 278? 97 Calculate the remainder when 14085 is divided by 670. 15 What is the remainder when 81134 is divided by 135? 134 What is the remainder when 873 is divided by 104? 41 What is the remainder when 555 is divided by 516? 39 What is the remainder when 3324636 is divided by 57? 54 Calculate the remainder when 14147 is divided by 199. 18 What is the remainder when 24387 is divided by 4876? 7 What is the remainder when 12769 is divided by 3176? 65 What is the remainder when 8449 is divided by 29? 10 What is the remainder when 71475 is divided by 276? 267 Calculate the remainder when 2669494 is divided by 23. 22 What is the remainder when 1123 is divided by 15? 13 What is the remainder when 5771 is divided by 617? 218 What is the remainder when 348607 is divided by 38? 33 What is the remainder when 14059 is divided by 669? 10 Calculate the remainder when 2973 is divided by 598. 581 Calculate the remainder when 1454 is divided by 475. 29 Calculate the remainder when 3623 is divided by 473. 312 What is the remainder when 4543 is divided by 115? 58 Calculate the remainder when 372 is divided by 171. 30 Calculate the remainder when 139941 is divided by 204. 201 What is the remainder when 158495 is divided by 24? 23 Calculate the remainder when 2737565 is divided by 263. 261 What is the remainder when 194499 is divided by 19? 15 What is the remainder when 5914 is divided by 5878? 36 What is the remainder when 4993 is divided by 32? 1 Calculate the remainder when 9155 is divided by 2979. 218 Calculate the remainder when 12541 is divided by 56. 53 What is the remainder when 20250 is divided by 67? 16 Calculate the remainder when 18424 is divided by 1069. 251 What is the remainder when 11217 is divided by 1607? 1575 Calculate the remainder when 20447 is divided by 5109. 11 What is the remainder when 4152903 is divided by 18? 15 What is the remainder when 50843 is divided by 57? 56 Calculate the remainder when 12438 is divided by 39. 36 Calculate the remainder when 57658 is divided by 1650. 1558 Calculate the remainder when 6341 is divided by 9. 5 Calculate the remainder when 13731 is divided by 237. 222 What is the remainder when 9540 is divided by 1403? 1122 What is the remainder when 15283 is divided by 494? 463 Calculate the remainder when 168796 is divided by 21. 19 What is the remainder when 33281 is divided by 18? 17 Calculate the remainder when 258281 is divided by 89. 3 What is the remainder when 1297 is divided by 134? 91 What is the remainder when 64018 is divided by 538? 534 What is the remainder when 7515 is divided by 60? 15 Calculate the remainder when 118576 is divided by 283. 282 Calculate the remainder when 2531 is divided by 56. 11 What is the remainder when 263163 is divided by 16? 11 What is the remainder when 6774 is divided by 165? 9 What is the remainder when 2294 is divided by 641? 371 What is the remainder when 547 is divided by 221? 105 What is the remainder when 63512 is divided by 376? 344 What is the remainder when 61483 is divided by 338? 305 Calculate the remainder when 48977 is divided by 24473. 31 What is the remainder when 676269 is divided by 876? 873 What is the remainder when 70974 is divided by 1182? 54 Calculate the remainder when 2060061 is divided by 1030025. 11 What is the remainder when 4995 is divided by 1285? 1140 Calculate the remainder when 6018 is divided by 249. 42 Calculate the remainder when 370052 is divided by 24. 20 Calculate the remainder when 90249 is divided by 4510. 49 Calculate the remainder when 99139 is divided by 533. 1 Calculate the remainder when 409588 is divided by 127. 13 What is the remainder when 104456 is divided by 1229? 1220 What is the remainder when 5722 is divided by 16? 10 What is the remainder when 348668 is divided by 9? 8 Calculate the remainder when 4180560 is divided by 11. 10 What is the remainder when 7394 is divided by 2431? 101 Calculate the remainder when 16612 is divided by 33. 13 What is the remainder when 1334783 is divided by 133? 128 Calculate the remainder when 26991 is divided by 300. 291 What is the remainder when 29715 is divided by 1485? 15 What is the remainder when 49588 is divided by 327? 211 Calculate the remainder when 167675 is divided by 279. 275 What is the remainder when 27432 is divided by 13689? 54 Calculate the remainder when 2176 is divided by 181. 4 What is the remainder when 2107 is divided by 10? 7 What is the remainder when 13244 is divided by 1008? 140 Calculate the remainder when 6685 is divided by 1548. 493 What is the remainder when 96176 is divided by 30? 26 What is the remainder when 24585 is divided by 18? 15 What is the remainder when 2159 is divided by 186? 113 What is the remainder when 3633 is divided by 891? 69 Calculate the remainder when 8764 is divided by 1751. 9 Calculate the remainder when 48485 is divided by 2548. 73 Calculate the remainder when 651147 is divided by 19. 17 Calculate the remainder when 3757 is divided by 38. 33 Calculate the remainder when 180841 is divided by 13. 11 Calculate the remainder when 1600 is divided by 85. 70 What is the remainder when 3196 is divided by 129? 100 Calculate the remainder when 273929 is divided by 136953. 23 What is the remainder when 18336 is divided by 40? 16 What is the remainder when 59525 is divided by 374? 59 What is the remainder when 16435 is divided by 3268? 95 What is the remainder when 708 is divided by 281? 146 What is the remainder when 12766 is divided by 12683? 83 What is the remainder when 55237 is divided by 31? 26 Calculate the remainder when 775 is divided by 766. 9 What is the remainder when 7881 is divided by 374? 27 What is the remainder when 242541 is divided by 882? 873 What is the remainder when 29315 is divided by 182? 13 Calculate the remainder when 194044 is divided by 13. 6 What is the remainder when 20949 is divided by 8? 5 What is the remainder when 372927 is divided by 1008? 975 What is the remainder when 1338 is divided by 17? 12 Calculate the remainder when 15970 is divided by 132. 130 What is the remainder when 46473 is divided by 1720? 33 What is the remainder when 250 is divided by 218? 32 Calculate the remainder when 19448 is divided by 6474. 26 What is the remainder when 4143 is divided by 1377? 12 Calculate the remainder when 13684 is divided by 188. 148 What is the remainder when 787449 is divided by 469? 467 What is the remainder when 5501 is divided by 786? 785 What is the remainder when 20705 is divided by 473? 366 What is the remainder when 1353 is divided by 1311? 42 Calculate the remainder when 85385 is divided by 2431. 300 Calculate the remainder when 1688 is divided by 45. 23 What is the remainder when 2769 is divided by 25? 19 Calculate the remainder when 66060 is divi
{ "pile_set_name": "DM Mathematics" }
. Let l be -3*(-2 - (-12)/9). Solve 4*q + f*r - l*r = -2, 0 = -5*q + 2*r - 14 for q. -2 Suppose 5*i - 234 = 5*n - 9, -3*n = i - 25. Suppose -6*k = -10*k + i. Solve 3*o + 2*t + k = 0, -3*o + 5 = -t - 0*t for o. 0 Let h = 14587 - 14567. Solve 3*y - 5*o + 10 = 0, -h = -y - 3*o - 0 for y. 5 Let b be -3*((-4)/6)/(-1)*(-5)/2. Solve -3*w - 4*l - b = -9*l, -3*l + 17 = w for w. 5 Suppose -322 = -20*x + 43*x. Let z be ((-8)/(-6))/((-13)/(273/x)). Solve 2*k + z*q - 7 = -3*q, -5*q = -5*k - 35 for k. -4 Suppose -55*o = -19*o - 355 - 257. Solve -1 = m + 2*r, -4*m - o = -3*r - 2*r for m. -3 Let y(o) = -o**3 - 28*o**2 - 192*o. Let t be y(-12). Solve 3*b - 9 = 5*k, k + t + 9 = 3*b for b. 3 Let g(d) = 2*d**2 + 9*d + 3. Let z be g(6). Suppose -121*f + z*f - 24 = 0. Solve 4*a + 2*k = a - 5, 0 = -a + f*k - 20 for a. -5 Let h(b) = -27*b + 757. Let p be h(28). Solve 31 = 4*s - 3*o, -s = -5*s - 3*o + p for s. 4 Let d(m) = -m + 1. Let o be d(-3). Let g = 54 - 97. Let u = -39 - g. Solve -3*z - o*n = 11, -z - n - 7 = u*z for z. -1 Let r(k) = 6*k - 9. Suppose -10 = -7*c + 18. Let v be r(c). Suppose -3*n + 4*o + 3 = 5*o, -5*n - 4*o = 2. Solve -5*g - n*x = -2*g + v, 5*x = -2*g - 21 for g. -3 Let v = -332 - -336. Solve 2*d + 4 = v*m - 24, 0 = m + 3*d + 7 for m. 5 Let b(k) = -17*k**3 + 2*k**2 - 2*k. Let h be b(-1). Let y be (6 - -32)/(3 + -1). Suppose h*q = y*q. Solve s + 7 = 3*g, g + 4*g + s - 25 = q for g. 4 Let k = -110 - -116. Suppose 0 = 6*t - 8*t + k. Solve -4*f = t*g - 6*f - 1, -3*g + 29 = 5*f for g. 3 Suppose 0 = 4*b - 20, 5*b - 155 + 418 = -4*o. Let h be (-2 - o/27)*(-1 + 7). Solve 3*p + h*x + 4 = -p, 0 = 5*p - 4*x - 13 for p. 1 Suppose -67*h - 5*t + 6 = -70*h, 0 = -5*h + 2*t + 9. Solve 4*u = 3*y, 5*y + 12 = -h*u - 17 for u. -3 Suppose -2*u + 14 = 4*k, 10*k = 11*k - 2. Solve 25 = -5*f + 2*d, 0 = -3*f + 5*d - u*d - 15 for f. -5 Let j(i) = 2*i**2 + 11*i + 2. Let f be j(-5). Let v be (-4)/f + 4*10/(-30). Solve d = -1, -3*n + v*d - d = -5 for n. 2 Let i(w) = -7*w + 9. Suppose 2*y - o - 1 = 0, -4 = 3*o - 7. Let m be i(y). Solve 0 = 2*p + 4*r + 16, 5 = -4*p + m*r + 3 for p. -2 Let t(a) = -a - 27. Let d = -13 - -9. Let n be t(d). Let f be (18 + n)*1*(-1)/1. Solve u + 1 = 2*p, -p + 17 = f*u - 0*u for u. 3 Let g(d) = d**3 + 3*d**2 + 1. Let r = -276 - -274. Let m be g(r). Solve 6*t + m*k + 20 = 5*t, 0 = -2*t + 5*k + 20 for t. 0 Let f = -267 - -272. Suppose f*r + 40 = 25*r. Let l = -2 + 5. Solve -r*m - 17 = l*t, m - 5 = -0*m + 3*t for m. -4 Suppose 49*t - 44 = 38*t. Solve 24 = 4*f + t, -25 = 3*n - 2*f for n. -5 Suppose 10*m - 9 = 2 + 19. Solve u + 2 = -3, m*g - 3*u = 15 for g. 0 Let t(w) = -19*w - w + 53 - 3*w**2 + 6*w**2 - w**2 + 10. Let k be t(8). Solve 4*n - k = 3*p, 2*p + 4*n - n - 2 = 0 for p. -5 Let q = 484 - 479. Suppose -4*v = q*m + 1 - 29, 3*m - 10 = v. Solve -3*h = -b + 11, b - v*h = -0*b + 7 for b. -1 Suppose 3*n - 24 = -g, -3*n - 2*g + 722 - 686 = 0. Let w(o) = -12*o + 2. Let a be w(-2). Solve p - 5*t + a = n*p, -2*p - 4*t + 20 = 0 for p. 2 Let y be (-11 + 175/15)*((-290)/(-4) + -2). Solve 0 = 3*q - 2*u - 1, -5*q + 2*u - 44 = -y for q. 1 Suppose -15*y + 1779 = 1719. Solve o = 4, n - y*o = -12 - 0 for n. 4 Suppose -3*v = -4*h + 3, 0 = -4*h - 5*v + 35 - 8. Let u = -32 - -34. Suppose 3*n + h*t = -0*n, -u*n = -3*t. Solve 3*b - 2*b = f + 6, -3*b - f + 14 = n for b. 5 Let i = -549 + 552. Solve 4*x + 11 = 2*m - 1, 4*m + 1 = i*x for x. -5 Let s(r) = r**3 - 9*r**2 + 18*r + 4. Suppose 0 = d - 2*x - 2*x - 6, 5*d - 30 = -2*x. Let o be s(d). Solve -t = -3*k + 4, -o*t = -4*k + k - 11 for k. 3 Let p(k) = 5*k**3 + 2*k**2 + 71*k - 73. Let g be p(1). Solve -5*h - 10 = g*a, 3*h + 7 = -0*a - 2*a for a. 1 Suppose -4*r = -5*s - 3, -17*r = 2*s - 22*r + 25. Solve 19*z - 21*z + s = -w, 2*w = 2*z for w. 5 Let x = 3378 - 3378. Solve h = x, -o + 8 - 9 = -2*h for o. -1 Let s be 7/(-91) + 11/((-1287)/(-243)). Solve 0 = 3*g - p + s, -2*g = p + 1 - 3 for g. 0 Let k(t) = -8*t - 108. Let s be k(-14). Let l(h) = -h**3 - 5*h**2 + 13*h - 3. Let j be l(-7). Solve 0 = -s*x - 5*i + 10, i = j*x - 2*i - 26 for x. 5 Suppose 45595 = -37*i + 45669. Let b = 0 - -6. Solve 2*c = 4*u + b + i, -3*c - u = 16 for c. -4 Let u(g) = 18*g**2 + 55*g + 54. Let n be u(-1). Solve -3*y + 5*c + 24 = 0, 4*y = -n*c + 16*c + 9 for y. 3 Let k be (-2 + (-2)/(-2))/(11/(-33)). Solve -o + 4*a = -13, 70*o - 66*o - 13 = k*a for o. 1 Let n(b) = -14*b - 128. Let t(d) = 36*d + 383. Let w(x) = -8*n(x) - 3*t(x). Let g be w(32). Solve -g*p + 4*u - 1 - 2 = 0, 0 = -5*u for p. -1 Let u = -319 - -535. Suppose -67*s + 31*s + u = 0. Solve 4 = p + 5*r - 7, 4*p - 5*r = -s for p. 1 Suppose -w + 6*w = 130. Suppose 0 = t + w - 29. Suppose -5*p = -5*f - 95, t*f + 15 + 80 = 5*p. Solve 0 = 5*h + 2*s + p, -s - 1 = -4 for h. -5 Suppose 0 = 4*q - 32, 5*s - 7*q = -6*q + 22. Solve -5*t - 8 - 42 = s*y, -29 = t + 5*y for t. -4 Suppose -5*m - 17 = -127. Let i = -745 - -772. Let n = i - m. Solve p = -n*g + 16, -g = -2*g - 5*p - 16 for g. 4 Let r(h) = -2*h**2 + 486*h + 7201. Let g be r(257). Suppose 14 = 2*j - 4. Solve -3 = 2*v - k, g*k - 6*k + j = -4*v for v. -3 Let v = 123 + -118. Solve -v*z = 4*j - 23, -3*z - 6 = -7*z + 3*j for z. 3 Let v(t) = 8*t**2 - 3*t - 2. Let j be v(1). Solve g - 12*x + 17*x + 8 = 0, 3*g - j*x = 12 for g. 2 Suppose 3*y - 3*o - 6 = 0, 0 = -3*y - 5*o + 6. Suppose 14*v = 41199 - 41171. Solve -3*w = v*w + y*n + 15, -n = -3*w + 2 for w. -1 Let v be (-1401)/(-6) + (-12)/8. Let s = v - 232. Solve 3*o - 12 = s, 0 = -u - 4*o - 2 + 16 for u. -2 Suppose 0 = -20*q + 16*q + 12. Suppose 45*r = -5*i + 42*r + 36, -q*i - 5*r + 28 = 0. Solve -3*p + 3*u = 12, 9*u - i*u - 15 = 4*p for p. -3 Let g(x) be the first derivative of -10*x**2 - 18*x + 7. Let t be g(-1). Solve -t*y - 6 = h, 2*y + y = 4*h - 31 for y. -5 Suppose v + 61 = -105. Let k = 171 + v. Solve -j = -3*j + 3*w + 14, -k*j + 2*w = -24 for j. 4 Let i = -641 + 688. Suppose -2*g + 41 + 59 = 5*u, -i = -4*u + 5*g. Solve 2*p + u = 4*s, 5*p + 9 = 2*s - 4 for p. -1 Let z(d) = -19*d - 293. Let k be z(-16). Suppose -8 = -s - 4*f, 12*s - 5*f = k*s + 35. Solve 4*i + 0*i + 4 = -3*l, i - 4*l = -s for i. -4 Suppose 3758*x - 3803*x = -180. Solve 4*k - 104 = 3*c - 109, c = -x*k - 9 for k. -2 Suppose -3*u - 2*i + 3 = 0, 5*u - 264 + 269 = -5*i. Solve 4*b + 5 = u*z - 9, -4*b = 5*z - 6 for b. -1 Let y(l) be the third derivative of 0 + 1/8*l**4 + 31/6*l**3 + 0*l + 2*l**2. Let c be y(-9). Solve 5*w + 3*h + c = 0, 5*w = 4*h + 1 + 16 for w. 1 Let n(j) = j**2 + 5*j. Let v be n(-6). Suppose m - 1 = v. Suppose 0 = -6*d - 41 + 97 - 56. Solve 4*p = -d*p - 5*x + m, 5*p - 13 = -2*x for p. 3 Suppose 2*h = -p - 5, -2*p = 5*h - 8 + 21. Let y be 1/(4/36 + (-3 - h)). Solve -5*k - 11 = -a - a, 5*k + y = 3*a for a. -2 Let m be (-15)/75 + (-762)/(-10). Let h(g) = g**3 - 68*g + m*g - 1 - 8*g**2 - 3. Let f be h(7). Solve -f = 5*a - 2*p, a - 2*a = -2*p + 7 for a. 1 Let b be -2 + (-3)/2*272/(-102). Let c be 4/(-12)*3*-5. Suppose -a - c = -2, -2*j - b*a + 4 = 0. Solve 4*m + j*g = 6, -2*m - g + 6 + 0 = 0 for m. 4 Suppose 0 = 530*b - 531*b - 4*g + 28, 3*b - 67 = 5*g. Solve -u = f + 8, -b*f = -28*f - 2*u - 20 for f. -2 Let u(m) = 12*m + 53. Let d be u(-4). Suppose 0 = d*w + g - 6, w - 3 = 2*w - 4*g. Let i = -3 - -3. Solve -4*r + i = -3*y - w, 2*y = -5*r - 16 for r. -2 Let g = -13906 + 13910. Solve 1 = w + i + g, i - 2 = 0 for w. -5 Let y(j) = -j + 6. Let i be y(5). Let z be 5/(15/(-18) + i) - 0. Let v be 10/(-35) + z/7. Solve -3*d + 16 = -v*s - 7*d, 6 = -2*d for s. -1 Let a be ((-108)/(-162))/(1*2/(-6)) + 7. Solve 5*z - 20 = 0, a = 4*h - 4*z + 25 for h. -1 Suppose -c = 3*w + 1, -5*c = -4*w - 9 - 24. Let x be -4*w/(-32) + 138/8. Solve -2*m + 0 = -3*u + 1, 0 = -4*u - m - x for u. -3 Suppose -43*g = 47*g - 360. Solve -w - 3 = 0, 0 = -p - 2*p + g*w + 12 for p. 0 Let g = 915 - 596. Let d = g + -314. Solve 4*c + 0*c = -3*l - 9, 4*l - d*c = -12 for l. -3 Suppose -4*z + 2*l + 3*l + 20 = 0, 4*z + l = 44. Suppose 0 = 72395*h - 72562*h. Solve h = 4*v + 5*t - z, -5 = 2*v - 5*t + 5 for v. 0 Let w be (78/(-52))/(9/10 - 1). Suppose 0 = 6*x + w*x - 84. Solve 0*r + x*r = 4*p - 8, r = -1 for p. 1 Let y(s) = 2*s**3 + 8*s**2 - 12*s - 10. Let r be y(-5). Suppose 3*d = -4*q + 24, 4*d - 7*d + q + 9 = r. Solve 2*a + 16 = d*v, -5*a + 4*v = -4*a + 16 for a. 0 Let n be
{ "pile_set_name": "DM Mathematics" }
0 In base 6, what is 343 - 111? 232 In base 11, what is -721 + -2? -723 In base 4, what is -11 + -232303? -232320 In base 14, what is 1 + 8b? 8c In base 3, what is -2011 + 121201? 112120 In base 2, what is -10010 + 111010000? 110111110 In base 2, what is -1110000100000 - -11? -1110000011101 In base 6, what is 321 + -25? 252 In base 15, what is 13c + -3? 139 In base 4, what is 2 + 3100? 3102 In base 14, what is 19a + -1? 199 In base 4, what is 22 + 0? 22 In base 4, what is 30 - 10313? -10223 In base 7, what is -4 - 61? -65 In base 14, what is 386 + -7? 37d In base 9, what is -121 - 12? -133 In base 3, what is -12 + 20202000? 20201211 In base 10, what is 250 + -4? 246 In base 12, what is 0 - 7? -7 In base 2, what is 111000 - 100? 110100 In base 6, what is 4 + -31053? -31045 In base 12, what is -2 - 11? -13 In base 4, what is 210202 - 0? 210202 In base 12, what is -23 - 5? -28 In base 9, what is -1 - 440? -441 In base 13, what is -4 - -310? 309 In base 9, what is -4 - 1026? -1031 In base 14, what is -13 + -2d? -42 In base 11, what is -29a - 5? -2a4 In base 14, what is c8 + 0? c8 In base 2, what is -11000100 - -110? -10111110 In base 5, what is -133 + -3? -141 In base 14, what is -613 - 0? -613 In base 7, what is -3 - -353? 350 In base 7, what is -5 + 115? 110 In base 9, what is -3 + -144? -147 In base 14, what is -81 + 45? -3a In base 2, what is 11110110 - 0? 11110110 In base 6, what is 1 - -255? 300 In base 4, what is 222101 + -10? 222031 In base 7, what is 1521 - -5? 1526 In base 2, what is -1000111 - 10000111? -11001110 In base 16, what is c + 10? 1c In base 4, what is -2 + 1313? 1311 In base 8, what is 4 + 362? 366 In base 4, what is 10 + -201303? -201233 In base 11, what is 1 + 29? 2a In base 14, what is -3 - 32a7? -32aa In base 2, what is -1000010001000 + -11? -1000010001011 In base 9, what is -1327 + 0? -1327 In base 12, what is 606 - 0? 606 In base 2, what is -101 + 1000000? 111011 In base 7, what is 0 - 23210? -23210 In base 8, what is 137 + 16? 155 In base 6, what is 5110 + 2? 5112 In base 4, what is -231 - 3330? -10221 In base 16, what is 1 + -8b3? -8b2 In base 3, what is 1001100 - 212? 1000111 In base 5, what is 2 - -1130? 1132 In base 2, what is -1100 + -1? -1101 In base 3, what is 12112 + 12? 12201 In base 2, what is -110 + -10000? -10110 In base 7, what is -532 + -5? -540 In base 11, what is 4 - -10? 14 In base 4, what is 1013 + -2? 1011 In base 11, what is 5 - 9a? -95 In base 7, what is -5 + -1151? -1156 In base 16, what is -7e4 + 8? -7dc In base 14, what is 42d - -4? 433 In base 3, what is -211 + 102? -102 In base 6, what is -21 + 344? 323 In base 3, what is 0 - -11102? 11102 In base 5, what is -4114 + -11? -4130 In base 7, what is -4 - -2324? 2320 In base 8, what is -4 + -4? -10 In base 9, what is 20 - 84? -64 In base 8, what is -1026 + 5? -1021 In base 8, what is -135 + -3? -140 In base 7, what is 1463 - 4? 1456 In base 6, what is 1 + -53105? -53104 In base 16, what is 1 + 2b? 2c In base 15, what is 14e - -2? 151 In base 3, what is 0 - -2121? 2121 In base 11, what is -35 + 3? -32 In base 14, what is 3 + 5d2? 5d5 In base 2, what is 1011100 + 11101? 1111001 In base 10, what is 15 + 111? 126 In base 9, what is 6 - -55? 62 In base 15, what is -d + -2be? -2cc In base 13, what is 23 - 32? -c In base 3, what is 10 + 12012101? 12012111 In base 12, what is 758 + -5? 753 In base 11, what is -16 + -69? -84 In base 12, what is 24 - -1? 25 In base 7, what is -10 - 5152? -5162 In base 4, what is 130 - 10? 120 In base 14, what is -39 - -3? -36 In base 7, what is 1 + -53? -52 In base 6, what is 1033 + 150? 1223 In base 15, what is 2 - 15? -13 In base 15, what is -28 - -10? -18 In base 11, what is -16885 - 1? -16886 In base 14, what is -4 + 10a? 106 In base 2, what is 110010010 + 1? 110010011 In base 3, what is 1 - -2? 10 In base 4, what is 311 + -10? 301 In base 4, what is 11 + -11023? -11012 In base 16, what is 0 - 156? -156 In base 14, what is 14 + 4b9? 4cd In base 4, what is 23100 - 2? 23032 In base 14, what is -6 + -119d? -11a5 In base 4, what is 1113 - 131? 322 In base 9, what is 1374 - 12? 1362 In base 5, what is -142000 - -10? -141440 In base 5, what is -4 - 214? -223 In base 16, what is 5ad - 0? 5ad In base 4, what is -230130 + -10? -230200 In base 8, what is -3 - 47? -52 In base 14, what is 1 + 319? 31a In base 6, what is 0 - -11? 11 In base 14, what is 13 + -87? -74 In base 11, what is -5 + 367? 362 In base 16, what is -23 - -1? -22 In base 3, what is -11212 - -10? -11202 In base 7, what is -222 + -1? -223 In base 14, what is -16c - -4? -168 In base 15, what is -49 + -1? -4a In base 8, what is -315 - -27? -266 In base 15, what is 5 + -8e? -89 In base 14, what is -a8 - -28? -80 In base 7, what is 15654 + -4? 15650 In base 6, what is 1 - 234? -233 In base 2, what is 11000100 + 1000? 11001100 In base 13, what is -2 + 609? 607 In base 3, what is -101 - -1120? 1012 In base 5, what is 12 - 32? -20 In base 15, what is 134b - a? 1341 In base 3, what is 10 + -112102? -112022 In base 12, what is -11 + -348? -359 In base 15, what is -30 + -1? -31 In base 13, what is 4 - 36? -32 In base 2, what is -10000010 + -10? -10000100 In base 10, what is 3 + 962? 965 In base 15, what is -2750 + 4? -274b In base 7, what is 2514 + 0? 2514 In base 8, what is 2172 + 10? 2202 In base 9, what is 40 - 4? 35 In base 5, what is 124 + -2? 122 In base 5, what is 104 - -10? 114 In base 5, what is -4 + -21? -30 In base 14, what is -1b + 1? -1a In base 14, what is -4 + -93c? -942 In base 10, what is 268 - 2? 266 In base 3, what is 122 - 1120? -221 In base 15, what is -62 - 2? -64 In base 14, what is -134 + -3? -137 In base 9, what is -167 - -3? -164 In base 5, what is 20004 + 11? 20020 In base 11, what is -3 + 35? 32 In base 5, what is -102112 + 1? -102111 In base 3, what is 1212200 + -1? 1212122 In base 3, what is 2112200 - 2? 2112121 In base 8, what is -13 + -21? -34 In base 15, what is 14 - 1? 13 In base 3, what is 10 + -21201110? -21201100 In base 15, what is -3 - 11b? -11e In base 13, what is 4 - -511? 515 In base 15, what is -6b + 1? -6a In base 3, what is 10101001 - 0? 10101001 In base 6, what is -14340 + -1? -14341 In base 11, what is 1898 + 1? 1899 In base 13, what is 10 + -16? -6 In base 13, what is 2087 - -1? 2088 In base 5, what is 2 + 1223? 1230 In base 9, what is -5 - 1144? -1150 In base 2, what is -1001111 + -11? -1010010 In base 12, what is -3 - 16? -19 In base 15, what is 4 + 7e? 83 In base 7, what is 15140 - -3? 15143 In base 5, what is 101 + 40? 141 In base 4, what is 10232 - -2? 10300 In base 6, what is -1231 + 2? -1225 In base 8, what is 5 - 1267? -1262 In base 11, what is -377 - -2? -375 In base 12, what is 56 - b1? -57 In base 8, what is -5276 - 1? -5277 In base 8, what is 6 + -4? 2 In base 11, what is 2 - -412? 414 In base 15, what is -17 - 39? -51 In base 10, what is 3 - 270? -267 In base 4, what is 10 - -2322? 2332 In base 2, what is -111110100000 + 100? -111110011100 In base 3, what is 20 - 112021? -112001 In base 10, what is -159 - -40? -119 In base 13, what is 28b + -3? 288 In base 6, what is 3 + 3314? 3321 In base 8, what is 7 + 61? 70 In base 4, what is 0 + -1103? -1103 In base 4, what is 100330 - -1? 100331 In base 7, what is -5 + 66? 61 In base 4, what is 11 + -110031? -110020 In base 8, what is 11141 - -3? 11144 In base 12, what is 121b - 0? 121b In base 4, what is 1 - -103? 110 In base 11, what is -4437 + 2? -4435 In base 12, what is 9 - 33a? -331 In base 7, what is 111 + -6? 102 In base 15, what is 1a - -8b? a6 In base 13, what is 3b + -4? 37 In base 7, what is 2460 - 2? 2455 In base 12, what is 3 + 1a8b? 1a92 In base 14, what is -227 + 2? -225 In base 12, what is 139 + 5? 142 In base 14, what is 2 - -13? 15 In base 11, what is 1 - -133? 134 In base 6, what is -1 - 45? -50 In base 12, what is 14 + 3b? 53 In base 7, what is 131163 + 4? 131200 In base 12, what is 1 - -34? 35 In base 7, what is -6 - -26? 20 In base 13, what is 1246 + -3? 1243 In base 2, what is -1001110010 - -10? -1001110000 In base 9, what is 1266 + -2? 1264 In base 14, what is -94 + -2? -96 In base 11, what is 3 - 119? -116 In base 5, what is -12 + -21? -33 In base 3, what is 120002 - -1? 120010 In base 5, what is 4401 - -41? 4442 In base 14, what is 1 - 6? -5 In
{ "pile_set_name": "DM Mathematics" }
834m? 0.8981834 What is 21/4 of a millimeter in micrometers? 5250 What is 23/8 of a meter in millimeters? 2875 What is 1.72987 milligrams in nanograms? 1729870 What is twenty-seven halves of a second in milliseconds? 13500 How many minutes are there in 180.28224 milliseconds? 0.003004704 How many months are there in eight thirds of a millennium? 32000 How many seconds are there in one twentieth of a day? 4320 How many millilitres are there in 33/5 of a litre? 6600 What is 48389.93 millennia in years? 48389930 How many centimeters are there in six fifths of a meter? 120 How many months are there in twenty-one fifths of a decade? 504 What is 47.97992ml in litres? 0.04797992 What is 740454.1 years in months? 8885449.2 How many kilograms are there in 1/4 of a tonne? 250 Convert 52516.2 years to centuries. 525.162 How many micrometers are there in 43/2 of a millimeter? 21500 How many minutes are there in four thirds of a week? 13440 How many millilitres are there in 59/4 of a litre? 14750 What is 548055.2ml in litres? 548.0552 What is 3/10 of a meter in millimeters? 300 What is 1/4 of a meter in millimeters? 250 How many minutes are there in twenty-five quarters of a day? 9000 What is 3/40 of a kilogram in grams? 75 What is twenty-one eighths of a gram in milligrams? 2625 How many nanometers are there in 3492.563 kilometers? 3492563000000000 What is 3/25 of a litre in millilitres? 120 How many litres are there in 66102.09 millilitres? 66.10209 How many decades are there in 7/4 of a millennium? 175 Convert 292873.14 months to millennia. 24.406095 Convert 176.1179nm to micrometers. 0.1761179 What is 3/40 of a litre in millilitres? 75 How many centuries are there in 3.95539 millennia? 39.5539 Convert 0.9359767m to kilometers. 0.0009359767 How many grams are there in three tenths of a kilogram? 300 Convert 5.116471 hours to seconds. 18419.2956 How many millilitres are there in 53/5 of a litre? 10600 What is fourty-nine quarters of a millennium in decades? 1225 What is 3/10 of a millennium in decades? 30 Convert 93174.03mm to micrometers. 93174030 What is one fifth of a millimeter in micrometers? 200 What is 3/5 of a litre in millilitres? 600 Convert 0.1256454 millilitres to litres. 0.0001256454 How many grams are there in eleven halves of a kilogram? 5500 What is 768.8138 seconds in nanoseconds? 768813800000 What is 774.9439l in millilitres? 774943.9 What is twenty-one quarters of a litre in millilitres? 5250 What is 21/4 of a second in milliseconds? 5250 How many milligrams are there in 36.66727 tonnes? 36667270000 How many hours are there in two sevenths of a week? 48 How many grams are there in 98357.1ng? 0.0000983571 What is 55/2 of a microsecond in nanoseconds? 27500 What is 886.745l in millilitres? 886745 Convert 373956.2 milligrams to tonnes. 0.0003739562 What is 0.2983132g in tonnes? 0.0000002983132 Convert 503.5247 years to centuries. 5.035247 How many millimeters are there in 52/5 of a meter? 10400 What is fourty-eight fifths of a litre in millilitres? 9600 Convert 60.1401um to nanometers. 60140.1 How many millilitres are there in 17/2 of a litre? 8500 How many centimeters are there in 4.512424mm? 0.4512424 What is 2/9 of a day in minutes? 320 What is 1/10 of a microgram in nanograms? 100 What is 943.0403 millimeters in meters? 0.9430403 How many millimeters are there in six fifths of a centimeter? 12 What is one twentieth of a millennium in months? 600 What is 533003.8 kilometers in meters? 533003800 How many minutes are there in sixty-two thirds of a day? 29760 How many meters are there in three fifths of a kilometer? 600 Convert 50.03192 millimeters to micrometers. 50031.92 How many years are there in 31/5 of a millennium? 6200 Convert 8.675279l to millilitres. 8675.279 What is 47/4 of a meter in centimeters? 1175 How many litres are there in 4.87949ml? 0.00487949 What is 3/8 of a gram in milligrams? 375 How many grams are there in 50.40778t? 50407780 How many minutes are there in 3/16 of a week? 1890 How many millilitres are there in 87/2 of a litre? 43500 Convert 8708.905mm to meters. 8.708905 How many millilitres are there in 6/5 of a litre? 1200 Convert 225901.47 minutes to hours. 3765.0245 What is fifty-two fifths of a tonne in kilograms? 10400 What is 7897.315cm in nanometers? 78973150000 How many micrograms are there in 4.420938mg? 4420.938 How many tonnes are there in 817.3364 kilograms? 0.8173364 What is 9112.689s in nanoseconds? 9112689000000 How many minutes are there in 4/3 of a hour? 80 Convert 716779.1 micrometers to millimeters. 716.7791 Convert 446.0996l to millilitres. 446099.6 How many micrograms are there in 6/5 of a milligram? 1200 What is thirteen eighths of a litre in millilitres? 1625 What is 0.7771442 nanograms in micrograms? 0.0007771442 Convert 1.736877 weeks to minutes. 17507.72016 Convert 0.9257574 micrograms to kilograms. 0.0000000009257574 How many grams are there in fifteen quarters of a kilogram? 3750 How many litres are there in 266535.1ml? 266.5351 What is 6/25 of a micrometer in nanometers? 240 Convert 1139.153 hours to seconds. 4100950.8 Convert 39457.53 centimeters to micrometers. 394575300 What is 61/2 of a century in months? 36600 What is 5/4 of a litre in millilitres? 1250 How many nanograms are there in twenty-one quarters of a microgram? 5250 Convert 21895.63l to millilitres. 21895630 How many months are there in 1/4 of a decade? 30 How many months are there in twenty-one halves of a year? 126 What is 123.1893 milligrams in nanograms? 123189300 What is 21/2 of a minute in seconds? 630 How many microseconds are there in 438.145 weeks? 264990096000000 What is 41045.29 decades in centuries? 4104.529 How many litres are there in 13488.44ml? 13.48844 What is 8640.559 litres in millilitres? 8640559 What is eleven quarters of a millimeter in micrometers? 2750 What is 1/4 of a litre in millilitres? 250 How many months are there in 29/2 of a decade? 1740 What is 78.49679 years in decades? 7.849679 How many milligrams are there in twenty-nine fifths of a gram? 5800 How many nanometers are there in 25/4 of a micrometer? 6250 How many months are there in twenty-one eighths of a decade? 315 What is 21/8 of a micrometer in nanometers? 2625 What is 0.1656942 centimeters in micrometers? 1656.942 How many months are there in thirteen fifths of a millennium? 31200 Convert 0.4431607 years to months. 5.3179284 Convert 6.990192 decades to years. 69.90192 How many millilitres are there in twenty-seven halves of a litre? 13500 What is 1/6 of a year in months? 2 How many millilitres are there in 1/5 of a litre? 200 What is 1/16 of a day in minutes? 90 Convert 609.6078 months to millennia. 0.05080065 How many nanograms are there in 6318.534 micrograms? 6318534 What is 74/5 of a milligram in micrograms? 14800 What is 5/8 of a litre in millilitres? 625 What is 27.81138l in millilitres? 27811.38 What is 3/10 of a tonne in kilograms? 300 What is 39246.98cm in millimeters? 392469.8 What is 10641.903 hours in days? 443.412625 How many micrograms are there in 28.46153t? 28461530000000 What is thirteen fifths of a centimeter in micrometers? 26000 How many seconds are there in 5/8 of a day? 54000 How many years are there in twenty-one halves of a century? 1050 How many months are there in 4/15 of a decade? 32 How many micrograms are there in 33/5 of a milligram? 6600 Convert 52888.17 months to decades. 440.73475 How many kilograms are there in 11/4 of a tonne? 2750 What is one quarter of a decade in months? 30 How many millilitres are there in three eighths of a litre? 375 How many millimeters are there in 0.2331821m? 233.1821 How many millilitres are there in 3/10 of a litre? 300 What is 0.4591611 days in nanoseconds? 39671519040000 What is 2/15 of a day in seconds? 11520 What is 21/8 of a kilogram in grams? 2625 What is 4710.754 tonnes in milligrams? 4710754000000 How many months are there in fifteen quarters of a millennium? 45000 What is 0.4914624ms in minutes? 0.00000819104 How many millennia are there in 44.62053 months? 0.0037183775 What is 5170.009m in centimeters? 517000.9 Convert 3.507044 grams to kilograms. 0.003507044 Convert 1.744084m to centimeters. 174.4084 How many centuries are there in 316.4363 years? 3.16436
{ "pile_set_name": "DM Mathematics" }
04640723 Convert 88593.19 hours to nanoseconds. 318935484000000000 What is seven quarters of a millennium in years? 1750 How many centimeters are there in 0.5295277 millimeters? 0.05295277 How many meters are there in 90.83809 millimeters? 0.09083809 How many micrograms are there in 0.7496023 milligrams? 749.6023 How many years are there in 11/8 of a millennium? 1375 How many meters are there in 3/8 of a kilometer? 375 Convert 2.460436 millennia to centuries. 24.60436 How many millilitres are there in 7/4 of a litre? 1750 Convert 80083.08 nanoseconds to seconds. 0.00008008308 What is 46/5 of a decade in months? 1104 What is 3/8 of a millennium in years? 375 Convert 20.47977 years to decades. 2.047977 What is 0.3717952ml in litres? 0.0003717952 Convert 3064.686m to nanometers. 3064686000000 Convert 917.0427 tonnes to kilograms. 917042.7 How many meters are there in 53481.7 kilometers? 53481700 How many meters are there in twenty-nine halves of a kilometer? 14500 Convert 0.3039434g to micrograms. 303943.4 How many nanometers are there in eleven halves of a micrometer? 5500 What is 22973.259s in minutes? 382.88765 What is 1/5 of a decade in months? 24 Convert 49633.4 years to centuries. 496.334 What is one tenth of a decade in months? 12 How many hours are there in 17/4 of a day? 102 What is twenty-one quarters of a milligram in micrograms? 5250 How many centimeters are there in 0.956762m? 95.6762 What is seven thirds of a minute in seconds? 140 What is one quarter of a litre in millilitres? 250 How many microseconds are there in 1/4 of a millisecond? 250 What is twenty-seven fifths of a millimeter in micrometers? 5400 How many grams are there in 0.332624 tonnes? 332624 What is 9296.4 seconds in microseconds? 9296400000 What is eight fifteenths of a millennium in months? 6400 What is 5/8 of a meter in millimeters? 625 How many nanoseconds are there in one sixteenth of a millisecond? 62500 What is 5/6 of a decade in months? 100 Convert 48.9537 years to millennia. 0.0489537 What is 828.046ml in litres? 0.828046 How many minutes are there in 1/9 of a day? 160 What is 0.9841236ug in grams? 0.0000009841236 How many millilitres are there in nine tenths of a litre? 900 How many months are there in seven thirds of a century? 2800 How many minutes are there in 1/28 of a week? 360 Convert 0.6011298t to milligrams. 601129800 What is 18/5 of a tonne in kilograms? 3600 What is nine tenths of a micrometer in nanometers? 900 Convert 23.64566m to centimeters. 2364.566 Convert 412.1293t to nanograms. 412129300000000000 Convert 526697.5kg to nanograms. 526697500000000000 What is 11/10 of a century in years? 110 What is three tenths of a millennium in centuries? 3 What is 27/5 of a week in minutes? 54432 Convert 29.59726nm to kilometers. 0.00000000002959726 How many years are there in 18/5 of a century? 360 What is seven halves of a litre in millilitres? 3500 What is 1/4 of a year in months? 3 What is 6/5 of a century in months? 1440 Convert 6.422289 millennia to centuries. 64.22289 Convert 6707.78 milligrams to kilograms. 0.00670778 Convert 736.3549ug to grams. 0.0007363549 What is 67.6115 micrograms in nanograms? 67611.5 What is twenty-five halves of a meter in centimeters? 1250 How many years are there in seventy-five halves of a millennium? 37500 What is 2906.234 centimeters in kilometers? 0.02906234 How many microseconds are there in 23488.92ns? 23.48892 What is 4615.4 millilitres in litres? 4.6154 What is 3/25 of a tonne in kilograms? 120 How many grams are there in 1/20 of a kilogram? 50 How many years are there in 3/5 of a millennium? 600 How many milliseconds are there in 85667.01 weeks? 51811407648000 How many years are there in twenty-seven fifths of a millennium? 5400 How many centimeters are there in 6.24411m? 624.411 What is 2689.642 nanograms in grams? 0.000002689642 What is 0.9940584ml in litres? 0.0009940584 How many micrograms are there in 2.79144 grams? 2791440 What is 18343.73cm in nanometers? 183437300000 What is thirty-two fifths of a day in minutes? 9216 How many micrometers are there in 6220.241 meters? 6220241000 How many minutes are there in thirty sevenths of a week? 43200 How many millimeters are there in 4.77807nm? 0.00000477807 How many decades are there in 27216.477 months? 226.803975 What is 21800483.1us in days? 0.00025232040625 How many minutes are there in 8/3 of a week? 26880 What is 1295075.7 nanoseconds in minutes? 0.000021584595 How many litres are there in 4360.6ml? 4.3606 How many minutes are there in seven eighths of a week? 8820 How many seconds are there in 85098.4us? 0.0850984 How many nanoseconds are there in 3/25 of a microsecond? 120 How many nanometers are there in 0.9861419mm? 986141.9 How many months are there in one tenth of a century? 120 What is 107.1328 centimeters in millimeters? 1071.328 What is fifty-three fifths of a gram in milligrams? 10600 Convert 7854.292 nanometers to meters. 0.000007854292 How many nanometers are there in 43.38951km? 43389510000000 How many micrograms are there in 2671.951 milligrams? 2671951 How many nanometers are there in fourty-six fifths of a micrometer? 9200 What is 1.384859 tonnes in milligrams? 1384859000 What is 1/10 of a litre in millilitres? 100 What is 8/3 of a minute in seconds? 160 Convert 85839.16l to millilitres. 85839160 How many millilitres are there in fourty-six fifths of a litre? 9200 What is 0.758737 millennia in decades? 75.8737 How many nanograms are there in 21/5 of a microgram? 4200 How many nanoseconds are there in 15/4 of a microsecond? 3750 What is 8475.007 nanometers in centimeters? 0.0008475007 What is 29/5 of a millennium in months? 69600 What is 2.8431936 months in years? 0.2369328 What is 1.975086ml in litres? 0.001975086 What is 3/40 of a meter in micrometers? 75000 How many nanometers are there in six fifths of a micrometer? 1200 What is eighty-five quarters of a microgram in nanograms? 21250 How many millennia are there in 7.098584 centuries? 0.7098584 What is 379101.8t in nanograms? 379101800000000000000 Convert 19.30986l to millilitres. 19309.86 What is 4.357804 years in months? 52.293648 What is 1/5 of a tonne in kilograms? 200 What is twenty-one halves of a kilometer in meters? 10500 What is 21/4 of a litre in millilitres? 5250 Convert 16.14221ml to litres. 0.01614221 Convert 357803.6 hours to microseconds. 1288092960000000 Convert 313.4344 centimeters to nanometers. 3134344000 What is seven quarters of a litre in millilitres? 1750 What is 63560.1g in tonnes? 0.0635601 What is 20163.861 minutes in hours? 336.06435 Convert 15810.63 nanometers to millimeters. 0.01581063 What is 9.543736 kilograms in nanograms? 9543736000000 How many months are there in 8/3 of a millennium? 32000 Convert 713027.7l to millilitres. 713027700 What is twenty-nine halves of a kilometer in meters? 14500 What is 11/4 of a litre in millilitres? 2750 What is one quarter of a kilometer in meters? 250 What is 8/3 of a week in hours? 448 How many minutes are there in 1/20 of a day? 72 What is 4/3 of a year in months? 16 How many centuries are there in 476.2659 millennia? 4762.659 What is 283633.26 months in millennia? 23.636105 Convert 54.30133 centimeters to micrometers. 543013.3 What is 6/5 of a century in decades? 12 How many minutes are there in 34/5 of a week? 68544 Convert 565.8533 millennia to months. 6790239.6 Convert 78.51147t to micrograms. 78511470000000 What is 0.0466895 litres in millilitres? 46.6895 What is 34/5 of a microgram in nanograms? 6800 What is 150660.8 millilitres in litres? 150.6608 What is fifty-seven fifths of a kilogram in grams? 11400 How many millimeters are there in sixty-one halves of a centimeter? 305 How many meters are there in 17/2 of a kilometer? 8500 Convert 1202.828 kilograms to nanograms. 1202828000000000 What is 80606.196 milliseconds in hours? 0.02239061 How many micrograms are there in five quarters of a milligram? 1250 What is 5/4 of a centimeter in micrometers? 12500 How many litres are there in 0.7351429 millilitres? 0.0007351429 How many hours are there in 2/7 of a week? 48 What is one quarter of a litre in millilitres? 250 What is 0.0499511 minutes in nanoseconds? 2997066000 How many nanograms are there in five quarters of
{ "pile_set_name": "DM Mathematics" }
? -63792.5896 Add 125.6734061795 and 6. 131.6734061795 What is -81 take away 0.818041572501? -81.818041572501 What is 96929532 + 43420? 96972952 Work out -10 - -12652466913180. 12652466913170 What is the difference between 152710538394 and 5? 152710538389 What is -3920276079203 less than 0? 3920276079203 What is 10528115029 less than -168? -10528115197 What is -102728.4 take away -4707.13? -98021.27 What is -29638.19 - -0.0474653? -29638.1425347 Calculate 3839.3525690527 + -0.6. 3838.7525690527 Total of -351674 and 15.548319. -351658.451681 Calculate -0.17337 - 59878926.88. -59878927.05337 What is the difference between -0.491194765 and 0.51? 1.001194765 Sum 5.6758 and -10309246. -10309240.3242 Add together 82633995415115 and -2. 82633995415113 Calculate 3017.5131403682 - 0.4. 3017.1131403682 Work out -71219536 + -43309. -71262845 What is 4854604495.9 - -0.1825? 4854604496.0825 What is -196.696689 plus 6941? 6744.303311 Sum 366.887 and 1279836. 1280202.887 6471651.4281 - 0.1 6471651.3281 Put together 0.59 and -198568547207. -198568547206.41 What is the distance between -69975181 and 40689.24? 70015870.24 Add together -1.4302948 and 671492. 671490.5697052 Add together 1324 and -306497927. -306496603 What is 7490173345 plus -251? 7490173094 Sum 16918.3699697 and -0.4. 16917.9699697 Sum 240642316 and 15.7768. 240642331.7768 What is 75.5374835 less than -0.13105? -75.6685335 What is the distance between -103527203535 and -4? 103527203531 Subtract 0.0159 from -2.208861614. -2.224761614 What is 2542.1211999 plus -0.5509? 2541.5702999 What is -23918031 less than -31963.02? 23886067.98 What is -33025235399 - -1.213? -33025235397.787 -1288206595285 - -56 -1288206595229 Sum -2 and 362188849057. 362188849055 What is 17019861 plus 1788? 17021649 Subtract -6.82059 from -85377063. -85377056.17941 36491111662.26 + -2 36491111660.26 What is -0.0572748 minus -437301855? 437301854.9427252 -2463.858+-9833839 -9836302.858 What is 9.884099536 minus 972? -962.115900464 -179 - -97.0606581329 -81.9393418671 Work out 0.016599 - -93722.008. 93722.024599 9212.8 - -4675470 4684682.8 31.36+-9.5483185 21.8116815 Work out -108604316060.8 - -0.7. -108604316060.1 What is -48877 take away -292534136? 292485259 Put together 92042 and 5461502. 5553544 Total of 103289.658 and 2126. 105415.658 Put together 3 and 67379853402. 67379853405 Work out 944812699517 - -19. 944812699536 Calculate 2.5987 - 104531589. -104531586.4013 What is -0.8055 + 485.27331628? 484.46781628 What is 6.6 minus -5061778585? 5061778591.6 Work out -81 + -0.11070734508. -81.11070734508 Subtract 14722161906 from -0.806. -14722161906.806 What is -0.5 less than -404644059335? -404644059334.5 What is the distance between -325 and 1915622258401? 1915622258726 1135657321010+352 1135657321362 Calculate 467835797219 - -87. 467835797306 37504675 - -1.30679 37504676.30679 What is -116934 minus 0.05513155431? -116934.05513155431 What is the distance between 45379260 and 81.95? 45379178.05 49 + 111570870618 111570870667 0.272769 + -1098.406411 -1098.133642 Total of -108613.65 and 73417. -35196.65 Work out -1.483 - -1318.53. 1317.047 Work out -45048298806018 + 5. -45048298806013 What is -111.7 - 17452102? -17452213.7 Work out -1.619624 + -0.601224. -2.220848 Calculate -0.13020249743 - 537. -537.13020249743 Add together 4 and -310716470761. -310716470757 Work out 0.2 - 122984610378. -122984610377.8 What is the difference between -0.26 and -4904345084? 4904345083.74 What is the distance between 56547.4606419 and -19.8? 56567.2606419 What is -244250399.459 - -5? -244250394.459 Total of 1.4028123831 and -0.3. 1.1028123831 Calculate -12510591002575 - -16. -12510591002559 Total of 0.2 and -2.33171886442. -2.13171886442 Add -241244307846 and 2. -241244307844 What is the difference between -20902283171 and 28.55? 20902283199.55 What is 23954.99 + -20866.475? 3088.515 What is -63.4411 plus 237041? 236977.5589 What is 1069 + 236475024? 236476093 What is -728166857 take away 129.3? -728166986.3 Add 3584 and -1234555026. -1234551442 Subtract 27.9482 from -325366.7593. -325394.7075 What is -226898 take away 90853.0952? -317751.0952 What is the distance between -1937.74 and -111.249276? 1826.490724 Sum -0.433266 and 5048512. 5048511.566734 -34777.76 - -583286 548508.24 What is 8784263 minus 1458564? 7325699 -18164316581456 + -0.3 -18164316581456.3 What is -64.5542 minus -45939? 45874.4458 What is the distance between -448.29307 and -1.67632? 446.61675 What is the distance between -114.25502 and 894? 1008.25502 Total of -357 and 2.06346051555. -354.93653948445 What is the distance between -0.03 and -26016118051? 26016118050.97 Add together 2944291192776 and -57. 2944291192719 21.86 + 359149640 359149661.86 Work out 4 + -0.24885702539971. 3.75114297460029 Calculate 0.05 - -11.3863231675. 11.4363231675 Add 1.1 and 10763091191608. 10763091191609.1 -0.054 + 5208150494 5208150493.946 What is -128383 minus -16290948? 16162565 Work out -907.53614 - -54308. 53400.46386 Add 0.5 and -6984170686. -6984170685.5 Add 0.6 and -244303535390708. -244303535390707.4 What is -0.8 plus -392.474647055? -393.274647055 What is 6103.479711 - -0.682? 6104.161711 What is -81137972854 minus 192? -81137973046 Work out 0.138 + -13498943687. -13498943686.862 Calculate -11563641145 - -316.1. -11563640828.9 Add -110.939562775 and 0.363. -110.576562775 What is -0.2 plus 6167214245? 6167214244.8 Work out -87.608901 - 8562. -8649.608901 What is -24938633 minus 0.0542? -24938633.0542 What is the distance between -1328429810 and 2.031? 1328429812.031 Calculate 874611 + -200547. 674064 Add together -1279218576839 and 25. -1279218576814 Subtract 5960.4086607 from -372. -6332.4086607 Calculate 0.1 + -0.4100465490963. -0.3100465490963 Put together 8 and 13588.078903756. 13596.078903756 What is 0.173704 less than 60802.902? 60802.728296 Calculate -0.0599351 + -17742. -17742.0599351 Subtract 4128093677 from 6391. -4128087286 -0.2815428+-1.8659391 -2.1474819 What is 6.1 take away 264594441053? -264594441046.9 What is the distance between -59.5105 and 2.6880334? 62.1985334 Sum 29471177 and 8793.429. 29479970.429 Add together -492842 and -16667745. -17160587 Calculate 3 + 80439519330. 80439519333 What is -1449679554 plus -4.67738? -1449679558.67738 Calculate -0.4143466 - -1.496. 1.0816534 What is the distance between -34.06755578 and 7.9296? 41.99715578 Calculate 1.74 - -5.37176436. 7.11176436 What is -61 - -61491657241? 61491657180 Subtract 413284653523.8 from 0.2. -413284653523.6 What is -0.5 + 4428268.8569211? 4428268.3569211 Subtract 3 from -3953.3353822493. -3956.3353822493 What is -156 plus 190215685800? 190215685644 What is -2.34 less than -1741360779? -1741360776.66 What is -0.5 take away 54.78632302854? -55.28632302854 Work out -143.1 + 617.6167888. 474.5167888 Work out 1248948750160 - -60. 1248948750220 Calculate -1 - 148.21972696548. -149.21972696548 Calculate -46874.226344 + -2. -46876.226344 -0.08+1614.44655801 1614.36655801 Sum -28655750 and -217933. -28873683 What is -71753 + -7626.15? -79379.15 What is 469144 - 50422073? -49952929 What is -211708903 take away -580? -211708323 What is 0.41 plus 60136259780? 60136259780.41 -3708175279 - -7934.5 -3708167344.5 Put together 3980 and 66546913. 66550893 Subtract 25355812.90226 from 48. -25355764.90226 Add 12528595475 and 4. 12528595479 22713774543 - 228 22713774315 Sum 156251 and 2548945. 2705196 What is -2605 + 9049170.8? 9046565.8 What is 504953828.95 minus -9.1? 504953838.05 Work out -1017.785311801 - 320. -1337.785311801 What is -1064925293 - 151194? -1065076487 What is 22317391637 + 3336? 22317394973 Add -85.027216502 and -0.137. -85.164216502 What is -33799559.3 take away 28.95? -33799588.25 -40 - 1591064560.9 -1591064600.9 Work out 0.550794095 - 24833. -24832.449205905 What is -0.3 + 297596102584? 297596102583.7 What is -76465.1577287 less than 5? 76470.1577287 Total of -11635.60546 and -129540. -141175.60546 What is 7098146715 less than -4271? -7098150986 What is 16957 plus 12191336? 12208293 What is 0 minus -19257.586867? 19257.586867 What is 0.0850151 minus -1513632? 1513632.0850151 What is 33023732.968 plus -0.17? 33023732.798 -429040 - 22672244 -23101284 What is 11.85714 less than -0.43689? -12.29403 -2 + -3
{ "pile_set_name": "DM Mathematics" }
t integer? 6 What is 1169970 to the power of 1/8, to the nearest integer? 6 What is the square root of 20106989 to the nearest integer? 4484 What is 397021 to the power of 1/2, to the nearest integer? 630 What is the third root of 328667 to the nearest integer? 69 What is 70529 to the power of 1/4, to the nearest integer? 16 What is the square root of 4032725 to the nearest integer? 2008 What is the cube root of 1718560 to the nearest integer? 120 What is 948393 to the power of 1/7, to the nearest integer? 7 What is the cube root of 280410 to the nearest integer? 65 What is the cube root of 227907 to the nearest integer? 61 What is 18668327 to the power of 1/6, to the nearest integer? 16 What is the square root of 5266367 to the nearest integer? 2295 What is 283647 to the power of 1/2, to the nearest integer? 533 What is 4976758 to the power of 1/3, to the nearest integer? 171 What is the fourth root of 120839 to the nearest integer? 19 What is 209355 to the power of 1/2, to the nearest integer? 458 What is the cube root of 295648 to the nearest integer? 67 What is 11215651 to the power of 1/10, to the nearest integer? 5 What is 83584 to the power of 1/9, to the nearest integer? 4 What is the tenth root of 2471720 to the nearest integer? 4 What is the cube root of 2908293 to the nearest integer? 143 What is the square root of 2975437 to the nearest integer? 1725 What is the third root of 1010642 to the nearest integer? 100 What is the square root of 2697601 to the nearest integer? 1642 What is 544078 to the power of 1/2, to the nearest integer? 738 What is 2906577 to the power of 1/9, to the nearest integer? 5 What is 128486 to the power of 1/9, to the nearest integer? 4 What is the third root of 9478440 to the nearest integer? 212 What is the cube root of 239048 to the nearest integer? 62 What is 1692582 to the power of 1/6, to the nearest integer? 11 What is the square root of 1593862 to the nearest integer? 1262 What is the seventh root of 2152793 to the nearest integer? 8 What is the square root of 538642 to the nearest integer? 734 What is the tenth root of 529626 to the nearest integer? 4 What is the square root of 342946 to the nearest integer? 586 What is the square root of 941935 to the nearest integer? 971 What is the square root of 193841 to the nearest integer? 440 What is the tenth root of 560187 to the nearest integer? 4 What is 250461 to the power of 1/2, to the nearest integer? 500 What is the cube root of 14406385 to the nearest integer? 243 What is the square root of 40068812 to the nearest integer? 6330 What is the eighth root of 570819 to the nearest integer? 5 What is the third root of 15065 to the nearest integer? 25 What is 185309 to the power of 1/7, to the nearest integer? 6 What is the cube root of 29347920 to the nearest integer? 308 What is the ninth root of 430713 to the nearest integer? 4 What is the square root of 195391 to the nearest integer? 442 What is 318894 to the power of 1/3, to the nearest integer? 68 What is 1813773 to the power of 1/3, to the nearest integer? 122 What is the cube root of 172139 to the nearest integer? 56 What is 3269271 to the power of 1/10, to the nearest integer? 4 What is 848658 to the power of 1/8, to the nearest integer? 6 What is the sixth root of 2911261 to the nearest integer? 12 What is 27800207 to the power of 1/2, to the nearest integer? 5273 What is 121931 to the power of 1/6, to the nearest integer? 7 What is the square root of 1288988 to the nearest integer? 1135 What is the square root of 2525286 to the nearest integer? 1589 What is the square root of 922411 to the nearest integer? 960 What is 20100117 to the power of 1/7, to the nearest integer? 11 What is the fifth root of 1362237 to the nearest integer? 17 What is 15268476 to the power of 1/9, to the nearest integer? 6 What is the square root of 361821 to the nearest integer? 602 What is 65651 to the power of 1/8, to the nearest integer? 4 What is the tenth root of 3996447 to the nearest integer? 5 What is 668695 to the power of 1/10, to the nearest integer? 4 What is 26315167 to the power of 1/2, to the nearest integer? 5130 What is the third root of 1011628 to the nearest integer? 100 What is 562900 to the power of 1/2, to the nearest integer? 750 What is the fifth root of 647765 to the nearest integer? 15 What is 248217 to the power of 1/3, to the nearest integer? 63 What is 1335097 to the power of 1/2, to the nearest integer? 1155 What is 182147 to the power of 1/2, to the nearest integer? 427 What is the third root of 479304 to the nearest integer? 78 What is the third root of 12508942 to the nearest integer? 232 What is the square root of 2381617 to the nearest integer? 1543 What is the third root of 682520 to the nearest integer? 88 What is the fifth root of 436774 to the nearest integer? 13 What is 555448 to the power of 1/2, to the nearest integer? 745 What is the eighth root of 464511 to the nearest integer? 5 What is 4413238 to the power of 1/7, to the nearest integer? 9 What is 313994 to the power of 1/3, to the nearest integer? 68 What is 91922 to the power of 1/9, to the nearest integer? 4 What is the cube root of 9153561 to the nearest integer? 209 What is the third root of 8278180 to the nearest integer? 202 What is the square root of 12239982 to the nearest integer? 3499 What is 1587361 to the power of 1/5, to the nearest integer? 17 What is 1326777 to the power of 1/2, to the nearest integer? 1152 What is the third root of 976020 to the nearest integer? 99 What is the square root of 348572 to the nearest integer? 590 What is the seventh root of 7211780 to the nearest integer? 10 What is the seventh root of 1142999 to the nearest integer? 7 What is the square root of 1160134 to the nearest integer? 1077 What is 154913 to the power of 1/6, to the nearest integer? 7 What is 1952642 to the power of 1/9, to the nearest integer? 5 What is 295259 to the power of 1/3, to the nearest integer? 67 What is the fourth root of 1838762 to the nearest integer? 37 What is 1557196 to the power of 1/3, to the nearest integer? 116 What is 2899256 to the power of 1/5, to the nearest integer? 20 What is the square root of 1117824 to the nearest integer? 1057 What is 1099101 to the power of 1/2, to the nearest integer? 1048 What is the eighth root of 2178010 to the nearest integer? 6 What is 33050 to the power of 1/7, to the nearest integer? 4 What is 14532610 to the power of 1/3, to the nearest integer? 244 What is the square root of 2703276 to the nearest integer? 1644 What is the cube root of 4768125 to the nearest integer? 168 What is 1208893 to the power of 1/2, to the nearest integer? 1099 What is the fourth root of 539548 to the nearest integer? 27 What is the cube root of 3354667 to the nearest integer? 150 What is 519766 to the power of 1/3, to the nearest integer? 80 What is 145314 to the power of 1/2, to the nearest integer? 381 What is the square root of 759386 to the nearest integer? 871 What is the fourth root of 21564001 to the nearest integer? 68 What is 14199 to the power of 1/9, to the nearest integer? 3 What is the third root of 121930 to the nearest integer? 50 What is the cube root of 28855819 to the nearest integer? 307 What is the square root of 10212004 to the nearest integer? 3196 What is 215062 to the power of 1/2, to the nearest integer? 464 What is the fourth root of 21222201 to the nearest integer? 68 What is the eighth root of 4339149 to the nearest integer? 7 What is 482840 to the power of 1/3, to the nearest integer? 78 What is the ninth root of 63952 to the nearest integer? 3 What is the cube root of 404459 to the nearest integer? 74 What is 15754811 to the power of 1/8, to the nearest integer? 8 What is the third root of 225296 to the nearest integer? 61 What is the third root of 30603428 to the nearest integer? 313 What is the third root of 4110033 to the nearest integer? 160 What is the square root of 152333 to the nearest integer? 390 What is 3634999 to the power of 1/2, to the nearest integer? 1907 What is 2291199 to the power of 1/9, to the nearest integer? 5 What is the square root of 5375612 to the nearest integer? 2319 What is the third root of 39877958 to the nearest integer?
{ "pile_set_name": "DM Mathematics" }
(n) = -n**2 + 669*n - 6553. Calculate q(10). 37 Let j(b) = b**3 + 24*b**2 + 48*b + 558. Calculate j(-23). -17 Let b(q) = q**2 + 14*q + 39. Calculate b(-10). -1 Let r(t) = t**3 - 21*t**2 + 7*t - 61. Calculate r(21). 86 Let j(d) = -d**3 + 20*d**2 + 13*d + 161. Determine j(21). -7 Let r(t) = -7*t - 471. Calculate r(-21). -324 Let k(b) = -3*b**3 + 10*b**2 - 60*b + 124. Calculate k(2). 20 Let m(d) = d**3 + 4*d**2 - 60*d - 107. What is m(-9)? 28 Let p(z) = -1258*z + 7524. Calculate p(6). -24 Let z(k) = 29*k + 511. Give z(-17). 18 Let j(f) = -308*f + 16958. Calculate j(55). 18 Let m(o) = 22*o**3 - 11*o**2 - 51*o - 4. Determine m(-3). -544 Let v(c) = -28*c**2 - 82*c - 40. Determine v(-2). 12 Let b(p) = -304*p - 5456. Calculate b(-18). 16 Let s(j) = 78*j + 133. What is s(-7)? -413 Let f(w) = 5*w**2 - 42*w + 57. Determine f(5). -28 Let q(x) = 472*x - 54759. Give q(116). -7 Let q(t) = 21*t**3 - t + 2. Give q(1). 22 Let h(y) = 49*y + 1477. Determine h(-30). 7 Let h(n) = -2*n**2 - 305*n - 8034. Calculate h(-34). 24 Let s(g) = g**3 + 113*g**2 - 599*g - 1172. What is s(-118)? -110 Let s(h) = h**3 - 6*h**2 - 32*h + 106. What is s(6)? -86 Let r(b) = -2*b**3 + 14*b**2 + 48*b + 34. Determine r(-1). 2 Let g(x) = -991*x + 14864. Determine g(15). -1 Let n(g) = -10*g**3 + 858*g**2 + 172*g + 7. What is n(86)? 7 Let j(c) = 5*c**2 + 126*c + 800. Calculate j(-13). 7 Let l(t) = -6*t**2 - 157*t + 495. Calculate l(-29). 2 Let n(t) = 124*t - 583. What is n(5)? 37 Let o(c) = 36*c + 477. Give o(-12). 45 Let s(n) = 2884*n + 20184. Determine s(-7). -4 Let l(n) = 2*n**3 + 20*n**2 - 50*n - 4. What is l(-12)? 20 Let m(f) = -14*f**3 - 2*f**2 - 13*f - 9. Calculate m(-2). 121 Let o(a) = a**3 - 19*a**2 + 35*a + 52. Calculate o(16). -156 Let j(z) = z**3 - 10*z**2 - 46*z + 38. Calculate j(-4). -2 Let w(l) = -l**2 - 27*l - 277. Give w(-12). -97 Let a(i) = 4*i**2 - 16419*i + 16420. What is a(1)? 5 Let z(y) = 3*y**3 - 30*y**2 - y + 14. What is z(10)? 4 Let n(u) = -u**2 - 78*u + 427. What is n(5)? 12 Let t(k) = -7*k**3 - 198*k**2 - 58*k - 53. Calculate t(-28). 3 Let v(p) = 8*p**2 + 86*p - 343. Give v(4). 129 Let k(o) = 2*o + 181. Calculate k(-23). 135 Let l(a) = a**3 + 6*a**2 - 17*a - 3. Determine l(-8). 5 Let g(i) = 13*i - 8. Calculate g(-2). -34 Let o(g) = g**3 + 210*g**2 - 850*g - 15. What is o(4)? 9 Let n(f) = -2*f**3 + 69*f**2 + 109*f - 16. What is n(36)? 20 Let u(z) = -z - 980. What is u(53)? -1033 Let g(r) = 29*r - 2534. Calculate g(61). -765 Let u(r) = 16*r - 374. Calculate u(21). -38 Let p(b) = 46*b - 39. Give p(-2). -131 Let o(s) = 3*s**2 + 29*s + 81. Determine o(-7). 25 Let r(i) = -1505*i + 58700. Calculate r(39). 5 Let x(p) = 6*p - 84. Give x(11). -18 Let b(l) = 117*l + 728. Determine b(-6). 26 Let v(m) = -2*m**3 + 21*m**2 + 40*m - 24. What is v(12)? 24 Let z(u) = -5*u**3 - 6*u**2 + 16*u + 27. What is z(-2)? 11 Let y(n) = n**2 + 27*n - 553. Give y(-41). 21 Let g(f) = 2*f**2 - 4*f + 140. What is g(0)? 140 Let q(f) = -f**3 - 9*f**2 - 143*f + 153. Give q(1). 0 Let r(q) = -17*q**2 - 23*q - 14. Calculate r(-2). -36 Let i(u) = u**3 - 7*u**2 - 13*u + 67. What is i(6)? -47 Let l(x) = -28*x**2 - 98*x + 1601. What is l(6)? 5 Let n(f) = -f**3 - 16*f**2 - 42*f - 1407. Calculate n(-18). -3 Let x(j) = 5*j**2 + 28*j - 93. Give x(3). 36 Let x(p) = p**3 + 30*p**2 - 30*p + 2258. Determine x(-33). -19 Let h(b) = -b**3 - 108*b**2 - 970*b + 1004. What is h(-98)? 24 Let c(k) = -k**2 + 61*k + 2438. What is c(-28)? -54 Let m(i) = -i**2 + 1657*i + 170140. What is m(-97)? 2 Let r(g) = 234*g - 100. What is r(1)? 134 Let g(t) = 679*t + 685. Calculate g(-1). 6 Let r(s) = 5*s**2 - 5*s - 648. Calculate r(-11). 12 Let g(r) = -12*r - 300. Determine g(-33). 96 Let p(i) = 2*i**3 + 28*i**2 + 32*i + 71. Calculate p(-13). -7 Let y(a) = a**2 - 110*a + 631. Calculate y(6). 7 Let r(q) = 4*q**2 - 147*q - 162. What is r(-1)? -11 Let t(p) = p**3 - 6*p**2 - 131. Determine t(8). -3 Let v(x) = 2335*x + 228826. What is v(-98)? -4 Let j(g) = g**2 - 62*g - 8. Calculate j(0). -8 Let h(a) = -2*a**3 + 29*a**2 - 28*a - 94. Determine h(14). -290 Let r(f) = -91*f + 17631. Determine r(194). -23 Let b(v) = -16*v**3 + 239*v**2 + 14*v + 8. Determine b(15). -7 Let j(k) = k**2 - 18*k - 121. Determine j(20). -81 Let g(j) = 3152*j - 25223. What is g(8)? -7 Let u(o) = -21*o + 14. Calculate u(3). -49 Let y(s) = s - 55. Give y(23). -32 Let q(j) = -2494*j - 29941. What is q(-12)? -13 Let v(n) = n**2 - 68*n + 969. What is v(23)? -66 Let s(i) = -6*i**3 + 107*i**2 - 261*i + 85. Give s(15). -5 Let a(k) = -4*k**2 + 198*k + 119. Calculate a(49). 217 Let l(s) = -s**3 + 17*s**2 + 580*s - 73. What is l(34)? -5 Let m(p) = -p**3 + 44*p**2 - 22*p - 912. Calculate m(43). -9 Let x(k) = -41*k - 1700. Calculate x(-42). 22 Let w(f) = -95*f**2 - 392*f - 39. Determine w(-4). 9 Let b(l) = -l**3 - l**2 + 43*l + 98. Give b(-6). 20 Let d(y) = -4*y**2 - 13*y - 13. Calculate d(-10). -283 Let m(x) = x**3 - 33*x**2 - 24*x - 387. Calculate m(34). -47 Let j(y) = y**3 + 128*y**2 - 664*y + 126. Determine j(-133). -7 Let z(h) = -158*h + 24324. Give z(154). -8 Let r(d) = -d**3 + 86*d**2 + 246*d + 1865. Determine r(89). -4 Let y(k) = k**3 - 81*k**2 - 151*k - 1226. Determine y(83). 19 Let y(w) = w**3 + 5*w**2 + 14*w + 37. What is y(-5)? -33 Let q(x) = -24*x - 160. What is q(7)? -328 Let t(z) = 36*z - 7. Determine t(0). -7 Let p(q) = 2*q**3 + 16*q**2 + 24*q + 20. Determine p(-8). -172 Let q(a) = a**3 - 52*a**2 + 191*a - 11. Give q(48). -59 Let v(y) = -y**3 - 16*y**2 - 20*y + 250. Give v(-13). 3 Let t(v) = -v**3 + 28*v**2 - 96*v + 15. What is t(24)? 15 Let d(t) = -t**3 + 42*t**2 + 87*t - 101. Give d(44). -145 Let y(h) = -h**2 - 27*h - 198. Calculate y(-18). -36 Let t(n) = -2*n**3 - 77*n**2 - 723*n - 48. What is t(-16)? 0 Let i(n) = n**3 + 2*n**2 + 40. Determine i(-9). -527 Let o(r) = -r**3 - 6*r**2 + 136*r + 81. Give o(-15). 66 Let z(w) = 387*w + 51847. Calculate z(-134). -11 Let r(o) = -6399*o + 31989. Calculate r(5). -6 Let w(h) = 6*h**2 + 428*h - 309. Calculate w(-72). -21 Let u(m) = -7*m**2 - 322*m - 1213. Determine u(-42). -37 Let t(l) = 14*l - 152. Give t(11). 2 Let u(j) = 15*j**2 - 239*j - 61. What is u(16)? -45 Let j(s) = -s**3 - 12*s**2 - 75*s - 236. What is j(-6)? -2 Let w(a) = -a**3 - 10*a**2 - 270*a - 3093. Calculate w(-11). -2 Let j(x) = -335*x + 2021. Determine j(6). 11 Let n(l) = -22*l + 813. Calculate n(36). 21 Let j(c) = -95*c + 1014. Give j(11). -31 Let j(r) = -r**2 - 164*r - 6717. Determine j(-85). -2 Let p(f) = 22*f**3 - f**2 + 14*f + 16. Give p(-1). -21 Let b(s) = -18*s + 1295. Calculate b(59). 233 Let j(a) = -a**3 + 29*a**2 - 147*a - 120. Give j(22). 34 Let a(z) = -23*z**2 - 1818*z - 78. Determine a(-79). 1 Let j(z) = z**2 + 140*z - 2154. Calculate j(14). 2 Let d(u) = -7*u**2 + 314*u + 3024. Calculate d(53). 3 Let n(m) = 24*m + 1309. Give n(-56). -35 Let q(r) = 19076*r + 114450. What is q(-6)? -6 Let s(j) = -21*j - 62. Determine s(2). -104 Let n(c) = -c**3 + 8*c**2 - 12*c + 32. What is n(4)? 48 Let x(f) = f**2 - 50*f - 775. Give x(-12). -31 Let v(i) = 909*i - 23632. Determine v(26). 2 Let o(x) = -3*x**2 - 39*x - 98. Determine o(-9). 10 Let n(z) = 135*z + 941. Calculate n(-7). -4 Let f(w) = w**2 - 1172*w - 7090. What is f(-6)? -22 Let f(s) = -15875*s + 31754. Calculate f(2). 4 Let c(v) = -9*v + 556. What is c(60)? 16 Let z(b) = -b**3 - 12*b**2 - 4*b + 25. Determine z(-6). -167 Let s(p) = -102*p + 812. Give s(8). -4 Let v(d) = -7*d**3 + 828*d**2 - 239*d + 352. Give v(118). -2 Let d(b) = b**3 - 342*b**2 + 3318*b + 13. What is d(10)? -7 Let k(q) = -45*q - 19. Determine k(-2). 71 Let g(y) = -15*y**2 - 96*y + 19. Calculate g(-7). -44 Let r(g) = 6*g**3 - 3*g**2 + 2*g + 66. Give r(0). 66 Let j(n) = 20*n + 693. Give j(-31). 73 Let r(n) = -n**3 + 2*n**2 + 22*n + 10. Calculate r(4). 66 Let b(t) = t**3 + 32*t**2 - 196*t + 34. Calculate b(5). -21 Let i(o) = -5171*o - 15508. Determine i(-3). 5 Let j(m) = m**3 - 6*m**2 + 12*m - 108. What is j(6)? -36 Let b(q) = 19052*q - 342937. Give b(18). -1 Let g(l) = -l**2 + 935*l + 5656. Give g(-6). 10 Let b(g) = 2*g**2 + 92*g + 824. Calculate b(-34). 8 Let g(c) = 2*c**2 + 24*c - 150. Determine g(4). -22 Let y(a) = 8*a**2 + 156*a + 197. Determine y(-19). 121 Let y(t) = -5*t**2 + 85*t + 296. Give y(20). -4 Let i(r) = -r**3 + 4*r**2
{ "pile_set_name": "DM Mathematics" }
q? m Let x = 7 + -4. Suppose -x*h - h = p + 125, -2*h = -4. Let l = 667/5 + p. Are 2/3 and l equal? False Let p(z) = 5*z + 1. Let k be p(0). Is k greater than 1? False Let u be 2 + (34/4)/((-3)/(-12)). Let y = 27 - u. Is y > -6? False Let g = -6 + 2. Let j be 6*(3 - (-35)/(-15)). Suppose v - z - 11 = 4*v, -3*v = j*z + 26. Which is smaller: v or g? g Let v be 5160/(-2100) + (-8)/7. Let q be 2/(-2)*(-1 - -5). Which is bigger: q or v? v Let c = 133/3 - 45. Suppose 4*f - 2*h = 1 + 9, 0 = -4*f + 5*h + 25. Suppose -2*w + 6 = -2*z, -z + f + 1 = w. Is c at least z? True Let m(j) = -13*j**3 - 35*j**2 + 5*j - 2. Let i be m(-3). Is i at most 39? True Let r be (-66)/(-55)*(-430)/(-4). Which is smaller: 130 or r? r Let c(w) = -8*w - 7. Let u be c(16). Let y = u + 133. Suppose -3*f = f + 4. Which is greater: y or f? f Let h = 59 + -43. Suppose -11*o + 3*o = -h. Is -10 not equal to o? True Let u be -42 + (360/(-5))/(-8). Which is bigger: -38 or u? u Let o = 121.64 + -127. Let t = -1834.64 + 1835. Let x = o + t. Which is smaller: x or -0.2? x Suppose 2*j + 3*j = 5. Which is bigger: -1/190 or j? j Let g(p) = 25*p + 25. Let l be g(2). Which is bigger: 53 or l? l Let d = -386399/297 - -1301. Do -1 and d have the same value? False Let l = -9/359 + -22895/3231. Let n = 259/36 + l. Is -1 smaller than n? True Let z(d) = -d**2 + 4*d + 4. Let w be z(6). Let i = 0.18 - 0.2. Which is bigger: i or w? i Let c(o) = -o**3 + 23*o**2 - 16*o - 531. Let j be c(21). Let a be -2*(-31)/((-2)/(-2)). Suppose 3*y = 2*p + 34, 2*y = -y - 5*p + a. Which is greater: j or y? j Let t = -2 + -12. Suppose -2*c + 61 = -4*h + 9*h, 0 = 3*c - 2*h - 44. Let g = c + t. Is 5 less than g? False Let y be (16 + (-3952)/32)/((-10)/24). Are y and 260 unequal? True Let b(w) be the third derivative of -5*w**4/24 + 5*w**3/2 + 8*w**2. Let c be b(5). Are c and -11 nonequal? True Let d be (-78)/273 + -86*(-2)/504. Which is greater: 1 or d? 1 Let i = -11/4 + 647/244. Which is greater: i or 0? 0 Let z(k) = 6*k**2 - 6*k + 3*k**3 - 6 - 4*k**3 + 7 + 6. Let t be z(5). Suppose 0*b - 2*b = -4. Is b bigger than t? False Let u(f) = f**2 - 8*f - 9. Let k be u(10). Suppose -78 = -8*y + k*y. Let j be 16/104 - (-56)/y. Is 7 at least j? True Let w = 1 + -1. Suppose -3*k + 0*k + 6 = w. Let z be (-10)/(-8)*-2*(-52)/143. Is k at most as big as z? False Let x(s) = 2*s**3 + 2*s**2 + 3*s + 2. Let r be x(-2). Let f be (0 - 34)*(-6)/r. Which is bigger: f or -18? f Let m be 4/(1408/1062) - (-9 - -12). Which is smaller: m or 0? 0 Let x be -2 + -1 - (-22 - 10). Is x less than 272/9? True Suppose -8 = 8*a - 0. Which is smaller: a or 1/298? a Let h = 91 - 88. Let a = -3.1 + h. Do a and 5.6 have the same value? False Let w = -1/3321 + -100/76383. Is w at least as big as 0? False Let t = 0.053 - 45.053. Let a = 23 + t. Is a > -0.1? False Let w be 84/(-184) + 4/8. Which is greater: w or 5/2? 5/2 Let z be 12/(-8)*(-128)/3. Are z and 64 nonequal? False Let y be 75/(-400)*8/102. Let j be (-2)/3*(-3)/(-2). Is j > y? False Let t = 2.935 + -0.035. Let r = t - 2.8. Which is greater: r or 2/35? r Let l be (-6 - (-11080)/692) + -10. Is l at least as big as -1? True Let m be (-1)/(-3 - 136/(-44)). Let n = 26 + m. Suppose h - 3*h = 3*i + n, 0 = 4*h + 4*i + 20. Is h at most 5? True Let z = -160 + 153. Which is smaller: -0.15 or z? z Let i = 29254/921 - 20123927/652068. Let j = i - 3/236. Is 1 less than j? False Let k(v) = -3*v**2 + 6*v - 21. Let u be k(-8). Which is smaller: u or -260? u Let j(z) = -7*z - 1. Let b be j(-1). Suppose -4*a + 3*s - 29 = b*s, 2*a = s - 7. Let l(w) = -6*w - 1. Let d be l(1). Are d and a unequal? True Let y = -0.503 - -42.803. Let v = y + -43. Which is bigger: v or -2/9? -2/9 Let w = -1345 - -14810/11. Is w >= 2? False Let r be (1 + 5)/(-2 + 0 - -8). Which is smaller: r or 163? r Let x be -635 - (-2 - -2)/(23 - 22). Which is smaller: -634 or x? x Suppose 3*k = 4*l - 32, 4*k - 2*k + 25 = -l. Let r = 10 + k. Let w be ((-2)/(-33)*-9)/r. Which is smaller: 0 or w? 0 Let w = 56/55 + -1722/935. Is -2 less than w? True Let q(u) = -24*u - 840. Let z be q(-35). Is z at least as big as -8/95? True Let b be (-146825)/(-588) - (-2)/(-8)*-1. Let h = 250 - b. Which is bigger: 1 or h? 1 Let r = 24 - 8. Suppose 3*i - 5*p - 43 = -3*p, -4*p - 69 = -5*i. Which is smaller: i or r? r Let o(c) = -2*c**3 - 14*c**2 - 10*c + 28. Let z be o(-6). Which is bigger: z or 13? z Let f = 18 - 15. Suppose f*n + n - 32 = 0. Let q be (-5)/(-20) + 2/n. Which is smaller: 0 or q? 0 Suppose 2*p - 98 = s, -3*s - 252 = -5*p - 4*s. Suppose 155 = 3*u + 5*r, -5*r - 252 = -5*u - 7*r. Is p less than or equal to u? True Suppose 9 + 0 = -3*c - w, -c - 3 = -4*w. Let d(f) = 4*f + 160. Let t be d(-41). Which is smaller: t or c? t Suppose -1651 + 175 = 4*u. Is -370 greater than u? False Let c = 331 - 188. Suppose 4*z + 583 = -4*a + c, -5*a = -z - 110. Let r be 3/(-2) + z/(-68). Is 0 >= r? False Suppose 0*x + 186 = 5*l - 3*x, 147 = 4*l - 3*x. Let g = 38 - l. Do g and -3/31 have different values? True Let n = -5 + -77. Let t = n + 739/9. Let i = -0.2 - -0.4. Is i greater than t? True Let p = 1.9 + -1.8. Let j = -0.153 - -0.073. Is j != p? True Let l be 2/(-3) + 6160/2112. Let m = -3 + 4. Which is smaller: m or l? m Let q = -640/9 - -81244/1143. Let h = q - -782/635. Suppose -4*g - 16 = 0, 0*l - 3*g - 18 = -3*l. Which is greater: h or l? l Let p = -51 + 31. Let t be 2 - (55/p + 4). Suppose 4*o - 5 = -o. Which is smaller: o or t? t Suppose 3*g = -2*c - 0*g + 1, -2*c + 8 = -4*g. Let y = -11 - -13. Suppose y*x + i - 19 = -4*i, -12 = -3*x - c*i. Is -3 != x? True Suppose -s - 29 + 7 = 0. Which is greater: -15 or s? -15 Suppose 3*m - m = -2. Let v be ((-2 - m) + 0)*0. Is v not equal to -3? True Let s(j) = -j**3 + 6*j**2 + 3*j - 7. Let f be s(6). Let q be -4*((-55)/(-50))/f. Which is bigger: q or 1? 1 Let o = 1887/65 + -144/5. Let a(t) = t - 2. Let p(j) = 2*j**2 + 2*j - 1. Let i be p(1). Let h be a(i). Which is greater: o or h? h Suppose -4*u + 336 = -4*m, -7*m = -5*u - 12*m + 420. Let t be (-48)/70 - (-24)/u. Which is smaller: t or 0? t Suppose -83*r + 6 = -80*r. Suppose -3*a - 5 = r*a, 3*a = -5*p - 8. Which is greater: 30 or p? 30 Let a = 50 + -34. Suppose d + a = 2*f, 5*f = 4*d + 4*f + 29. Let h be ((-12)/d)/(-1 - 4). Is h greater than or equal to -1? True Let t be (-3)/(3 + 0) + -201. Let q = t + 293. Which is greater: 90 or q? q Let f be 2 - 567/15 - (11 - 6). Which is smaller: -40 or f? f Let f = 455 - 451. Are 6 and f non-equal? True Let m be ((-12)/144)/((-96)/9 + 1). Suppose z - f + 4*f = -12, 4*f = -16. Which is smaller: m or z? z Let r be ((-12)/40)/((-168)/140). Which is greater: -0.492 or r? r Let p = 3656 - 142570/39. Which is greater: 0 or p? p Let y(s) = -4*s**2 - 5*s - s**2 + 3 + 2*s - s**3. Let r(f) = f**2 + 6*f - 3. Let l be r(-6). Let w be y(l). Are w and -4 nonequal? True Let v(h) = h - 3*h + 7*h**2 - 2 - 2*h**2 + 2*h**2. Let r be v(2). Let f = 33 - r. Which is greater: 10 or f? f Suppose h + 8 = 4*c - 3, -2*h - 3*c = -33. Let n be (8 - 7) + h/1. Suppose o + n = 8. Which is smaller: o or -15? -15 Let t = 236 + -191. Is 44 <= t? True Let u = -90 - -59. Let z = -4677 + 4646. Is z at most u? True Let w = -1 + 3. Let t = -61 + 91. Suppose 2*l + 2*l - 8 = -4*v, t = 5*l - 5*v. Do w and l have the same value? False Let l = 10.945 + 0.055. Which is bigger: -0.6 or l? l Let s(p) = -p**3 + p**2 - p - 1. Let d be s(2). Let z = d - -7. Let b be 185/(-180) + 2/(-9). Which is smaller: b or z? b Let z be (5/2)/(3/6). Suppose -z*j + 3 = -4*k - 1, 0 = -j. Which is smaller: k or -9/5? -9/5 Let o = 98.9 + -99. Which is bigger: o or -18.8? o Let r be (4 - (-8)/(-8))/(-3). Is -21/19 != r? True Suppose -3*j + 51 = 3*m, 3*m = -m - 20. Is 22 smaller than j? False Let w(r) = r**3 + 6*r**2 - 7*r + 1. Let h be w(-7). Suppose 4*x + k + 4 = 0, -3*x - 2*k - 4 = x. Let d be ((-1 - x)/1)/(-3). Are h and d unequal? True Suppose -5*q - 8 - 9 = -2*t, 4*t - 2*q + 6 = 0. Suppose 0 = 4*f + i - 57, 0 = -f + 2*f + 3*i - 17. Let b be 16/56 - 4/f. Which is bigger: t or b? b Let n(o) = 4*o**2 - 2*o + 5. Let k be n(2). Suppose -j + k = -2*t, j - 9 = 5*t - 7*t. Which is smaller: 15 or j? j Let z = -1354 - -1333. Which is bigger: z or -83/4? -83/4 Let z = -55/6 + -25/3. Let y = -17 - z. Is y smaller than 1?
{ "pile_set_name": "DM Mathematics" }
h - x. Calculate the highest common divisor of l and 15. 5 Let k be (-15)/(17/(-2) - -6). Let f = 0 + 0. Let v = k - f. Calculate the highest common factor of v and 54. 6 Let u be 6*7*((-14)/(-28) + 1). What is the highest common divisor of u and 36? 9 Suppose -27*a = -510 - 30. What is the greatest common factor of 85 and a? 5 Let k be (-156)/10*(-5 + (-15)/9). Let x(j) = -j**2 - 9*j - 7. Let t be x(-5). What is the greatest common divisor of k and t? 13 Suppose -t - 2*w = -166, 0 = -4*t + 3*t + 2*w + 178. Suppose -t = -5*g + g. Let u = 12 + g. Calculate the greatest common divisor of 5 and u. 5 Let u(g) = -g**2 - 29 + g**2 - 2*g**2 + 12*g + 3*g**2. Let p be u(-15). What is the highest common factor of 8 and p? 8 Suppose -2*j = -8, x + 119*j - 42 = 114*j. What is the highest common factor of x and 627? 11 Let d be 0 - ((-1 - 6) + 4). Let s be -7*(9 - 3)*d. Let v be ((-4)/(-3))/((-4)/s). What is the highest common factor of v and 28? 14 Suppose 16*y - 2*u + 32 = 21*y, 3*y = -2*u + 16. Let d be 10/(-3)*6/(-5). What is the greatest common divisor of y and d? 4 Let s(l) = -2*l - 17. Let n be s(-7). Let p(x) = 6*x**2 - 3*x - 3. Let w be p(n). Calculate the greatest common divisor of 24 and w. 12 Let n = -263 - -335. Calculate the highest common factor of n and 1. 1 Suppose 28 = -5*j + 2*l + 383, -j + 5*l = -71. Calculate the greatest common divisor of 284 and j. 71 Suppose -2*c + 4*c - 184 = 4*g, -2*c = -2*g - 88. Let m = g + 75. Suppose 2*u + m = 5*u. Calculate the highest common factor of 18 and u. 9 Suppose -6*p + 0 - 6 = 0. Let w be (p - 28/(-12)) + 916/6. What is the greatest common factor of w and 14? 14 Suppose 3*u - 23 = 2*u. Suppose 0 = -8*r + 4*r + 184. What is the greatest common divisor of u and r? 23 Let c(y) = 231*y - 435. Let u be c(8). What is the highest common factor of 9 and u? 9 Suppose 2*c + 3*i + 14 = 0, -4 = -c + 4*c - 4*i. Let p be (-1 - 4/(-8))*-22. Let a = c + p. Calculate the highest common factor of a and 14. 7 Suppose 25 = 4*d + d. Suppose 0 = -23*u + 20*u + 9. Suppose -t - u*z + 14 = -0, t - 2*z - 24 = 0. What is the highest common factor of d and t? 5 Let n(p) = 14*p + 6. Let s(u) = -3*u - 43. Let z be s(-16). Let b be n(z). What is the greatest common factor of b and 19? 19 Suppose -4*b - 25 = 3*q, -4*b - 1 - 6 = -3*q. Let s(n) = 3*n**2 + 10*n + 4. Let o be s(b). What is the highest common factor of o and 3? 3 Let h(b) = b**2 + 2*b - 29. Let q(y) = -3*y**2 - 5*y + 88. Let m(o) = 8*h(o) + 3*q(o). Let u be m(-5). What is the greatest common factor of 4 and u? 2 Let g be (9/(-18))/(2/(-20)). Suppose -g*l + l + 340 = 0. Calculate the greatest common factor of l and 17. 17 Let q(l) = 10*l + 6*l**2 - 1 - l**3 - 5 - l + 0. Let k be q(6). Suppose 3*n + k + 12 = 3*p, p + 4*n = -5. Calculate the highest common divisor of p and 10. 5 Let j be 1/3 + (-2893)/(-33). Let q = -72 + j. What is the highest common factor of q and 64? 16 Suppose 2*f = 2, -13*z + 10*z - 5*f + 122 = 0. What is the greatest common factor of 377 and z? 13 Suppose 431 = 5*o + 4*v - 7*v, 0 = 3*o + v - 267. What is the greatest common factor of 1078 and o? 22 Let i(q) be the first derivative of q**3/3 - 3*q**2 - 23*q + 21. Let x be i(-6). What is the highest common divisor of x and 7? 7 Let n(t) = t**2 + 10*t - 11. Let f be n(-11). Suppose f = -2*x, 0*g = 3*g - 4*x - 396. What is the highest common divisor of g and 12? 12 Let t = -4 + 28. Let r = 13 - t. Let c = 55 - r. Calculate the highest common divisor of c and 6. 6 Let r(j) = -8*j - 30. Let y(k) = -2*k**2 - 7*k - 5. Let s be y(-5). Let m be r(s). What is the greatest common factor of 13 and m? 13 Suppose d - 7 = -p - 3, -d = -p. Let z be (d*-5)/((-5)/30). What is the greatest common divisor of 15 and z? 15 Let b(y) = -y**2 + 6*y - 6. Let u be b(4). Suppose -u*x - 4*s = -260, 380 = 3*x - 3*s + 35. Let o = -98 + 113. Calculate the greatest common divisor of o and x. 15 Suppose -43*k = -40*k - 162. Calculate the greatest common divisor of 297 and k. 27 Suppose -4*t + 18 = -30. What is the highest common divisor of t and 852? 12 Suppose 5*u + 18 = 3*w, -2*u - 2 = 2*w + 2. Suppose -5*n + 4*n = -w. What is the highest common factor of 1 and n? 1 Let j(a) = -a**3 - 7*a**2 - a - 4. Let q be j(-7). Suppose 0 = -q*h + 10 + 2. Suppose 0 = v - h*v + 6. Calculate the greatest common factor of v and 10. 2 Suppose -3*p + 56 = 5. Let r(u) = -111*u**2 + 340*u - 4. Let x be r(3). Calculate the greatest common factor of p and x. 17 Let k(i) = 5*i**2 + 36*i + 30. Let s be k(-10). What is the greatest common divisor of s and 10? 10 Let j(l) = l**3 + l**2 + l + 44. Let h be j(0). Let o be h/5 + 9/45. Suppose -14*r = -13*r - o. What is the greatest common divisor of r and 6? 3 Let d be ((-3)/6*3)/(27/(-144)). What is the greatest common factor of 160 and d? 8 Let l = -6587 - -11146. Calculate the greatest common factor of 47 and l. 47 Let w = -24 - -34. Suppose l = 3*b - 8*b + 28, -3*b = -3*l - 6. What is the highest common factor of b and w? 5 Let i = 11 + -8. Suppose -3*r - 27 = -i*f, 0*f = -4*f - 3*r + 71. Suppose x = 4 + 10. What is the highest common divisor of f and x? 14 Suppose 4*f + 44 = -18*f. Let n be (9/5)/(3/(f - -107)). What is the highest common divisor of n and 105? 21 Suppose -g + p + 1 = 0, 4*g + 3*p = 8*g - 8. Suppose h = 3*u + u + 3, 3*h = -2*u - 19. Let c be 0 + 2 - 26/u. Calculate the greatest common factor of g and c. 5 Let y = -2 + 7. Suppose -y*f = -4*f - 154. Suppose -4*m - 4*x + 36 = 0, m = -3*x - 3 + 2. What is the greatest common divisor of m and f? 14 Let s = -2456 + 3094. What is the greatest common divisor of 232 and s? 58 Let d(p) = -p**2 - 16*p - 40. Let l be d(-6). What is the greatest common divisor of l and 50? 10 Let w be 80/(-1)*(-32)/20. What is the highest common divisor of w and 16? 16 Let w(n) = 75*n**2 - 23*n - 46. Let i be w(-2). Calculate the greatest common divisor of 25 and i. 25 Let s = 19 - 16. Let m(q) = 5*q - 7. Let x be m(s). Calculate the greatest common factor of x and 16. 8 Let j be (3/(-9))/(1/3). Let w be j + ((-2979)/(-45) - 1/5). Calculate the greatest common divisor of w and 5. 5 Let h be -1 - (-11)/((-11)/(-36)). Let t = -33 + h. Calculate the greatest common factor of 6 and t. 2 Suppose -s - 14 = -2*d, -7*s + 11*s - 22 = -5*d. What is the greatest common factor of d and 96? 6 Let z be (-129)/(-3) + (3 - -2). What is the highest common factor of 4 and z? 4 Suppose 0*t + 63 = -z + t, 193 = -3*z + 4*t. Let b = 61 + z. What is the highest common factor of 6 and b? 2 Let x = 24 - 17. Suppose j + 4*j - 2*p - x = 0, 0 = 3*j - 2*p - 5. Let s = 5 + j. Calculate the highest common divisor of 24 and s. 6 Let z = -1963 + 1979. What is the highest common divisor of z and 38? 2 Suppose -3*y + 9 = r, 0 = 9*r - 13*r + 4*y + 20. Calculate the greatest common divisor of 78 and r. 6 Let f = 185 - -1159. What is the highest common factor of f and 42? 42 Suppose 49 + 26 = 5*m. Let c be (70/m)/(-7)*-9. What is the highest common factor of 18 and c? 6 Let h = -17 - -32. Suppose -30 = -5*x + h. Calculate the greatest common factor of 36 and x. 9 Let b(h) = -h**3 + 5*h**2 + h + 1. Let m be b(5). Let l be ((-297)/m)/(6/16). Let t = l + 232. What is the highest common divisor of t and 40? 20 Let l(x) = x**2 + 3*x + 6. Let w be l(-4). Suppose -6*k + 252 = k. Let s = 38 - k. Calculate the greatest common divisor of s and w. 2 Let v(s) = -s**2 - 13*s + 72. Let n be v(-13). Calculate the greatest common divisor of 168 and n. 24 Let u = 25 - 9. Let d be 15/40 + 666/u. Calculate the greatest common divisor of 70 and d. 14 Suppose -5*l + 1717 = -3*v, -2*l = 2*l - 2*v - 1374. Calculate the greatest common divisor of 43 and l. 43 Let h = -554 + 614. What is the highest common divisor of 750 and h? 30 Let w(h) = h**3 - 5*h**2 + 5*h + 7. Let j be w(3). Suppose -j*a = -a - 90. Suppose -f + 4 = -2. What is the greatest common divisor of f and a? 6 Let c(l) = l**3 + 5*l**2 - 3*l - 1. Let t be c(-3). Suppose 2*d - t - 16 = 0. Let k be d*(-3 + (8 - 4)). What is the highest common divisor of 126 and k? 21 Let w(l) = -2*l + 30. Suppose 0 = -15*z - 67 + 7. Let t be w(z). What is the greatest common factor of 95 and t? 19 Suppose -45*b = -759 - 96. What is the highest common factor of 551 and b? 19 Let n b
{ "pile_set_name": "DM Mathematics" }
m. 1 Rearrange 38*b - 168*b**2 - 166*b**2 + 336*b**2 - 3*b to r*b**2 + o*b + w and give r. 2 Rearrange 20 + 18 - 57 - 4*w + 14 to s*w + r and give r. -5 Express -10*c**3 + c - 3 + 20*c**2 - 20*c**2 in the form a*c**3 + d*c**2 + i*c + n and give a. -10 Rearrange (-508 + 58*j + 508)*(2*j + 0*j - 4*j) - j - 2*j**2 - 1 + j + 4*j + 2*j**2 - 4*j to k + h*j + p*j**2 and give k. -1 Express (a + 2*a - 4*a)*((-1 - 2*a + 1)*(2*a - 4*a + a) + 28*a**2 - 6*a**2 - 13*a**2 + a - a - 2*a**2) as q + w*a**3 + g*a**2 + t*a and give w. -9 Express (9*d + 12*d - 32*d)*(0 - 1 + 3)*(1 - 1 + 2) as p + v*d and give v. -44 Rearrange (-5*p + 5*p + 2*p)*(-2 + 30*p**3 + 3 - 3) to v + k*p**4 + b*p + a*p**3 + m*p**2 and give k. 60 Rearrange -3*g - 72*g**3 + 2*g + 1 + 73*g**3 to t + x*g**3 + z*g**2 + h*g and give t. 1 Rearrange 0*r**4 + 1169*r**2 + r**3 + 7*r + 0*r**4 - 1170*r**2 + 2*r**4 to x + v*r + i*r**3 + z*r**2 + h*r**4 and give h. 2 Express 4*o**2 + 5*o - 7*o + 3*o in the form z*o + t + c*o**2 and give z. 1 Rearrange -m + 3 - 2*m**2 - m**4 + 2*m**3 + 3*m**2 + 0*m**4 - 2*m**4 to w*m**2 + z*m**4 + k*m**3 + r*m + g and give z. -3 Rearrange (2 - 2 + f)*(-6 + 3 + 2)*(5 - 5 + 1)*(f + 0*f - 3*f) to g + c*f + t*f**2 and give t. 2 Express 12*f - 33*f + 58*f**3 + 19*f - 18*f**3 in the form h + m*f**3 + p*f**2 + d*f and give h. 0 Express 3*s - 7*s + 0*s - 22*s in the form v + t*s and give t. -26 Express -2*u**2 + 10*u**2 + 0*u + 10*u - 5*u as p + g*u + f*u**2 and give f. 8 Rearrange -4*o**2 + 1 + 2*o**3 - o**4 - 15*o + 18*o + 3*o**2 to w*o**4 + i*o + u*o**2 + v*o**3 + a and give v. 2 Rearrange (0 + g**2 + 0)*((-4*g + 0*g + 2*g)*(4 - 4 - 1) - 25*g + 15*g - 16*g) to z*g + d*g**2 + v*g**3 + l and give z. 0 Express -4*l**3 + 3*l**3 + 0*l**3 + (14*l**2 - 10*l**2 + 5*l**2)*(1 + l - 1) as z + u*l**2 + i*l**3 + f*l and give i. 8 Rearrange (-2 + 2 - 3*b**2)*((0 + 2 - 5)*(-4 - 2 + 4) - 2 + 4 - 4 - 1 + 1 - 3) to the form d + a*b + z*b**2 and give z. -3 Rearrange (x**2 - 4*x**2 + x**2)*(5*x - 4 + 4)*(3 - 2 - 4) to the form c*x**2 + h*x + w + v*x**3 and give v. 30 Express -8*t**2 - 11*t**2 + 17*t**2 + 1 in the form a*t + s + z*t**2 and give s. 1 Express 12*z**2 + 12*z**2 - 30*z**2 + 35*z**2 as j*z + v*z**2 + a and give j. 0 Rearrange 5*r - 37*r**2 + 71*r**2 - 36*r**2 + (-1 + 1 - r**2)*(3 - 3 + 1) to w*r + a + v*r**2 and give v. -3 Express 0*b**4 - 5*b**2 + 0*b + b**2 - 2*b - b**4 + 1 in the form t + n*b**4 + l*b + s*b**2 + r*b**3 and give n. -1 Express (-15 + 3 + 8)*(1 + 2*z - 1) as y + q*z and give q. -8 Express (-14*x**2 + 3*x**2 - 10*x**2 + 0*x**2 - x**2 - x**2 + (x**2 - 2 + 2)*(0 + 2 - 1))*(3*x - 5*x + 4*x) in the form z*x**3 + r + p*x**2 + b*x and give z. -44 Express -2 + r**2 + 5 - 8*r**3 - 2 in the form d*r**3 + g*r + j*r**2 + h and give d. -8 Express (192 - 192 - 13*s**3)*(0*s + 2*s + s) in the form a + q*s**3 + b*s**2 + x*s**4 + d*s and give x. -39 Rearrange 9*x**3 - 4*x**4 + 2*x**2 - 8*x**3 - 3*x**2 to k*x**4 + c + m*x + o*x**2 + f*x**3 and give f. 1 Express 5*u - 2*u**2 - 15*u**4 + 12*u**4 - u**2 - 3*u as d*u**3 + p*u + l*u**4 + i + g*u**2 and give p. 2 Rearrange -7 + 0*v**4 + 5 + 9*v**4 + 2*v to the form d*v**2 + o*v + h + k*v**4 + b*v**3 and give o. 2 Rearrange 0 + 2 + 1 + 2*i**4 + (-i + i - 2*i**3)*(-3 - 2*i + 3) - 3*i**2 - 2*i**4 + 3*i**2 to j + x*i + f*i**4 + m*i**3 + g*i**2 and give f. 4 Rearrange 3 - 2 + 2 + 1 - y**3 to t*y + m + b*y**3 + v*y**2 and give b. -1 Express -12*a - 13*a + 4*a in the form v*a + s and give v. -21 Rearrange 81 - 4*k**2 - 81 - 2*k to a*k + x*k**2 + z and give z. 0 Express 2*q - 7*q**3 - 5 + 4 + 9*q**3 + 2*q**2 in the form r*q**2 + t + p*q**3 + j*q and give t. -1 Express -2*f**2 + 2*f**2 + f**2 + (-3*f + 3*f + f)*(-2*f + 4*f + 0*f) + f - f**2 - f + 0*f**2 + 19*f**2 + 6*f**2 in the form u*f**2 + k*f + r and give u. 27 Rearrange r**2 - 1 + 4*r**4 - 2*r**2 - 2*r**4 - 5*r**4 to o*r**2 + f*r**4 + z*r**3 + b + l*r and give o. -1 Express 11*l**2 + 58*l**2 + 48*l**2 + 3*l**2 in the form d*l**2 + n*l + u and give d. 120 Express (2*l**2 - 3*l**2 - 3*l**2)*(3*l + 2*l - 4*l) - 9*l**3 + 2*l**3 + l**3 as k + x*l + o*l**2 + b*l**3 and give b. -10 Rearrange -14169 - 150*v + 14169 to the form y*v + s and give y. -150 Express 5*k**2 + 5*k - 2*k**2 - 7*k + k**2 + k**4 in the form n*k**3 + q + o*k**4 + b*k + x*k**2 and give x. 4 Rearrange -4 + 0*d**3 + 6*d + 2*d**4 + 0*d**3 - 7*d - d**2 to the form o*d + l + y*d**4 + h*d**3 + c*d**2 and give l. -4 Express -7*x**3 - 13*x - 2*x**3 + 8*x**3 in the form w*x + n*x**3 + p + u*x**2 and give w. -13 Express (3*z - z + 7*z)*(-4 + z**2 - 2*z**2 - 2*z + 5) as u*z**3 + h*z**2 + o + g*z and give g. 9 Rearrange 21 - 135 + 2*p**2 - 29 to k*p**2 + o*p + d and give d. -143 Rearrange (2 - 5 - 1)*(-v**2 + 2*v**4 + 898*v**3 - 898*v**3) to z*v**4 + f*v + i*v**3 + t*v**2 + p and give t. 4 Rearrange (3 - 1 - 1)*(-3*l**3 + 0*l**3 + 5*l**3 + (0 - 2 + 0)*(2*l**3 + l**3 - l**3)) to the form p*l**3 + o*l + a*l**2 + d and give p. -2 Express -14*b**2 - 16*b**2 - 4*b + 27*b**2 as m*b + f + p*b**2 and give m. -4 Rearrange (45*f**2 - 46*f**2 + 3*f - 4*f)*(-2 + 2 + 2*f**2) to c*f**4 + d*f**3 + z*f + k*f**2 + i and give i. 0 Express (0 + 2 + 3)*(-2*n**2 + 3*n**3 + 2*n**2) in the form u + o*n**2 + k*n**3 + j*n and give k. 15 Express x**2 - 4*x**2 - 4*x**2 + (-5 + 5 + 2)*(-x - x**2 + x) + 5*x**2 + 0*x**2 - 4*x**2 + 2*x**2 + 5*x - 5*x as f*x**2 + v*x + m and give v. 0 Express -34 - 2*a + 34 + 2*a**2 in the form g*a + k + x*a**2 and give g. -2 Rearrange 2 + 0 - 1 + 2*p**2 + (2*p + 2*p - 3*p + (4*p - 8 + 8)*(-5 + 4 - 2))*(-p - 2*p + 5*p) to j + i*p + s*p**2 and give s. -20 Express (-2 + 2 + 2*k**2)*(-3*k + 5*k + 2*k) + 5*k**3 - k**3 - 3*k**3 in the form o*k + t + c*k**3 + n*k**2 and give c. 9 Express r - r + 15 - 17 + 5*r**3 as p*r**3 + x*r**2 + b + g*r and give b. -2 Express (y + 7*y**2 + 6*y**2 - 9*y**2)*(0 + 4 - 5)*(0 + 4 - 1) in the form k*y**2 + b + h*y and give h. -3 Express (-8*w + w - 5*w)*(-1 + 0 + 2 + (3 - 1 - 3)*(-1 + 2 - 2) + (3 - 1 + 1)*(2 - 4 + 0)) in the form i + k*w and give k. 48 Express (-13*j + 4*j - 4*j)*(-j**2 - 2*j + j**2 - 2*j**2 + (2 - 2 - j)*(1 - 1 - j)) in the form i*j + l*j**3 + m + d*j**2 and give d. 26 Rearrange -99 + 20*z + 99 to h*z + d and give h. 20 Rearrange -27 + 27 + 9*l**2 to the form j*l**2 + g*l + k and give j. 9 Express z - 4 + 2*z**4 + z + 151*z**3 - 148*z**3 as w*z**2 + o*z**3 + d*z + p + n*z**4 and give w. 0 Express (4*j - 5*j + 2*j)*(4 - 4 - 1) + 2 - 2 - j + j - 3*j + j + (4 + 3 - 3)*(-5*j + j + 3*j) in the form w + s*j and give s. -7 Rearrange 15 + 13*v - 14*v + 38 to the form b*v + x and give b. -1 Rearrange 5 + 2 - 1 - j**2 to x + d*j + m*j**2 and give m. -1 Express -8*x**4 + 0 + 7*x**4 - 3*x**4 + 2 + 4*x in the form q + p*x + j*x**3 + o*x**4 + l*x**2 and give q. 2 Express -1 - 8 - 2*b**3 - 4 + 7 as u*b**2 + x*b**3 + o*b + k and give x. -2 Express 2*t - t + 227*t**3 - 229*t**3 - 7*t**2 as v*t + q + r*t**3 + w*t**2 and give w. -7 Express 6*q**2 - q**2 - 6*q - 3*q**2 in the form z*q + n + d*q**2 and give d. 2 Rearrange 59*k + 4*k**4 - 3*k**2 - 3*k**4 + 4*k**2 - 52*k to m + h*k**2 + w*k**3 + b*k + l*k**4 and give b. 7 Rearrange 4*w**3 + 2*w**4 + w - 2*w - w - 65 + 62 to the form a*w**4 + y + n*w**2 + m*w**3 + h*w and give m. 4 Rearrange o**2 - 8 - o**3 + 5 + o**4 + 3*o**3 to the form d + h*o + p*o**4 + q*o**2 + a*o**3 and give d. -3 Rearrange (29 + 9 + 4)*(-r + 3 - 3 + (2*r - 2 + 2)*(-6 + 3 + 1) + 3*r + 0*r - 5*r + 2*r + 2*r - 3*r + (4*r - 6*r + 0*r)*(1 - 3 + 0)) to u*r + m and give m. 0 Rearrange (-11*g - 5*g - 5*g + g)*(-g**3 + 3*g**3 + 0*g**3) to the form w + k*g**4 + y*g**3 + q*g**2 + d*g and give k. -40 Express (-1 + 1 - 2*s)*(-4 - 1 + 4) + (0*s + 2*s + 0*s)*(3 + 3 - 4) - 21*s + 39*s - 30*s in the form a + r*s and give r. -6 Express -1 - 334*y + 334*y + 35*y**2 in the form z*y + b + i*y**2 and give i. 35 Rearrange (20*u**2 - 179 + 179 + u - 2*u**2 - u + (3*u - 2*u - 2*u)*(0*u + 2*u - u))*(u + 2*u - u) + 2*u**3 - 3 + 3 to i*u**3 + j*u**2 + p + x*u and give i. 36 Rearrange 0*n**2 - n**2 - 18*n**3 + 3*n**2 to the form p + h*n**2 + f*n + y*n**3 and give h. 2 Express (-9*z + 3*z + 16 + 4*z)*(4 + 2 - 4)*(z**2 + 0*z**2 + z**2)*(4 + 2 - 5) in the form k*z + x + y*z**2 + p*z**3 and give p. -8 Rearrange (-2*h + 4*h + h)
{ "pile_set_name": "DM Mathematics" }
q and 2 h when three letters picked without replacement from {q: 9, r: 8, h: 2}. 3/323 What is prob of picking 3 o when three letters picked without replacement from {l: 2, x: 3, o: 3}? 1/56 What is prob of picking 2 m when two letters picked without replacement from mmffffmmmmmf? 7/22 Two letters picked without replacement from {j: 1, g: 2, z: 5, y: 1}. Give prob of picking 1 j and 1 z. 5/36 Three letters picked without replacement from xxxcrthhhchrxrckxhkc. Give prob of picking 1 h and 2 x. 5/114 What is prob of picking 2 c and 1 r when three letters picked without replacement from ricrcb? 1/10 What is prob of picking 1 s and 2 b when three letters picked without replacement from szssszbbzzzzsszzz? 3/340 What is prob of picking 2 f, 1 g, and 1 i when four letters picked without replacement from {i: 3, d: 1, g: 3, f: 6}? 27/143 Two letters picked without replacement from {z: 5, i: 2}. What is prob of picking 2 i? 1/21 Calculate prob of picking 3 h when three letters picked without replacement from {h: 1, m: 2, e: 4}. 0 Two letters picked without replacement from {u: 2, r: 1, n: 2, j: 4, d: 1}. Give prob of picking 1 r and 1 n. 2/45 Two letters picked without replacement from jdujjdjujjnjj. Give prob of picking 1 j and 1 u. 8/39 Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {b: 1, y: 2, z: 1, x: 2}. 2/15 What is prob of picking 1 v and 1 z when two letters picked without replacement from vzvvrmrvrvmvrzvzzz? 35/153 What is prob of picking 1 m, 2 i, and 1 w when four letters picked without replacement from {m: 1, w: 4, i: 2, o: 4}? 2/165 What is prob of picking 1 j, 1 z, and 2 l when four letters picked without replacement from {j: 1, k: 2, w: 2, z: 2, l: 12}? 11/323 Calculate prob of picking 3 g when three letters picked without replacement from {x: 4, g: 2}. 0 Calculate prob of picking 3 b when three letters picked without replacement from lblllbb. 1/35 What is prob of picking 1 q and 2 p when three letters picked without replacement from {e: 2, c: 7, p: 8, q: 1}? 7/204 Three letters picked without replacement from {o: 7, b: 3, v: 2}. Give prob of picking 3 o. 7/44 Calculate prob of picking 3 t when three letters picked without replacement from ttjjjtjttttjjj. 5/52 Two letters picked without replacement from sssssmmsssmmssmmmmmm. What is prob of picking 2 s? 9/38 Calculate prob of picking 3 z when three letters picked without replacement from zrrrrrrrzrzzrrzr. 1/56 Calculate prob of picking 2 e and 1 m when three letters picked without replacement from {m: 4, s: 3, n: 1, o: 1, e: 5}. 10/91 What is prob of picking 2 i and 1 z when three letters picked without replacement from iiziiiziiiiiziiiii? 105/272 Three letters picked without replacement from mmkkaammmkamaka. What is prob of picking 2 m and 1 k? 12/91 Three letters picked without replacement from dfssdsssd. What is prob of picking 2 d and 1 f? 1/28 Four letters picked without replacement from {r: 5, o: 1, l: 2, e: 1, u: 3, j: 3}. What is prob of picking 1 l, 1 e, and 2 r? 4/273 What is prob of picking 2 h, 1 i, and 1 z when four letters picked without replacement from {z: 1, h: 4, q: 2, i: 2, v: 3}? 4/165 Calculate prob of picking 1 b and 3 s when four letters picked without replacement from hshshhshshhhbb. 8/1001 Four letters picked without replacement from bbbbbbbbbb. Give prob of picking 4 b. 1 Three letters picked without replacement from qqiqqiqqii. What is prob of picking 2 q and 1 i? 1/2 What is prob of picking 2 s when two letters picked without replacement from {s: 11, h: 1}? 5/6 Two letters picked without replacement from jjgjjgjg. Give prob of picking 2 j. 5/14 Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {v: 5, r: 1, p: 2, n: 1}. 1/18 Calculate prob of picking 1 t, 1 c, and 1 b when three letters picked without replacement from {o: 2, t: 2, m: 1, c: 1, b: 1}. 2/35 Two letters picked without replacement from {w: 2, m: 2, d: 1, z: 1, l: 9, v: 3}. Give prob of picking 2 v. 1/51 What is prob of picking 4 v when four letters picked without replacement from {f: 1, w: 2, n: 3, q: 1, v: 7, j: 4}? 7/612 Four letters picked without replacement from {e: 14, n: 5}. What is prob of picking 4 e? 1001/3876 Calculate prob of picking 1 m and 1 u when two letters picked without replacement from arumriarmrreieiu. 1/30 Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {k: 7, b: 3}. 7/15 Two letters picked without replacement from fkkkffbfppkfkpkbk. Give prob of picking 2 b. 1/136 Three letters picked without replacement from xpppbmxmapxxxmbxpp. What is prob of picking 2 p and 1 m? 15/272 Calculate prob of picking 1 q, 1 j, and 1 k when three letters picked without replacement from {j: 1, b: 1, g: 2, k: 2, c: 1, q: 1}. 1/28 Three letters picked without replacement from {l: 4, v: 2, i: 1, q: 8}. Give prob of picking 2 l and 1 v. 12/455 Four letters picked without replacement from {z: 2, x: 3, n: 10}. What is prob of picking 3 x and 1 n? 2/273 Two letters picked without replacement from {z: 6, e: 2}. What is prob of picking 1 e and 1 z? 3/7 What is prob of picking 3 k and 1 j when four letters picked without replacement from kwwkkjkkjwwjkwwwwwjw? 16/969 Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, u: 1, x: 1}. 1/6 Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {d: 3, g: 7, n: 9}. 3/19 What is prob of picking 1 d and 1 c when two letters picked without replacement from vdvcvcvvvvvvvcccvc? 2/51 Three letters picked without replacement from phmpmpp. Give prob of picking 1 m and 2 p. 12/35 Calculate prob of picking 1 h and 1 f when two letters picked without replacement from {f: 4, e: 2, h: 3, k: 8, l: 1, x: 2}. 6/95 Three letters picked without replacement from kkyk. What is prob of picking 3 k? 1/4 Three letters picked without replacement from yfqvaaq. What is prob of picking 1 v and 2 a? 1/35 Four letters picked without replacement from {g: 1, t: 1, c: 2, j: 1, h: 1, d: 2}. What is prob of picking 4 j? 0 Two letters picked without replacement from {u: 3, k: 8}. Give prob of picking 2 u. 3/55 Two letters picked without replacement from tlcccllzuzttzttnlc. Give prob of picking 2 u. 0 What is prob of picking 1 x and 1 b when two letters picked without replacement from {b: 4, d: 2, x: 7}? 14/39 Calculate prob of picking 1 d and 1 r when two letters picked without replacement from ttrshdx. 1/21 What is prob of picking 1 c and 2 h when three letters picked without replacement from {f: 1, o: 1, c: 1, h: 2, m: 1, z: 8}? 1/364 Two letters picked without replacement from fztztttpq. What is prob of picking 1 q and 1 t? 1/9 What is prob of picking 4 f when four letters picked without replacement from {z: 2, f: 4, r: 1, h: 1, q: 8}? 1/1820 Calculate prob of picking 3 j and 1 l when four letters picked without replacement from jcjjcjjjjjcjjccclccj. 11/323 What is prob of picking 2 h when two letters picked without replacement from hohhhhhhhhhhhhhohh? 40/51 What is prob of picking 3 h and 1 e when four letters picked without replacement from ehhehehy? 6/35 Four letters picked without replacement from hhrkrhkhhrrrr. What is prob of picking 2 h and 2 r? 30/143 Calculate prob of picking 3 q and 1 b when four letters picked without replacement from {p: 1, b: 3, q: 3}. 3/35 Calculate prob of picking 2 g and 2 o when four letters picked without replacement from {o: 2, d: 3, n: 3, j: 3, g: 7}. 7/1020 Two letters picked without replacement from sybgsrrbrsyv. What is prob of picking 1 g and 1 r? 1/22 What is prob of picking 1 u and 1 z when two letters picked without replacement from {u: 7, z: 1, f: 1}? 7/36 Calculate prob of picking 2 o when two letters picked without replacement from hooooooh. 15/28 Two letters picked without replacement from rccrrccccrrr. What is prob of picking 2 c? 5/22 Calculate prob of picking 1 x and 1 l when two letters picked without replacement from lxlxxxlxlxx. 28/55 Calculate prob of picking 1 v and 2 k when three letters picked without replacement from {a: 2, t: 1, v: 4, k: 2, s: 3}. 1/55 Calculate prob of picking 1 w and 3 p when four letters picked without replacement from {r: 1, w: 6, q:
{ "pile_set_name": "DM Mathematics" }
+ 2/6. Suppose 19 = 5*b - j. Let t = 55 + -14. Calculate the remainder when t is divided by b. 13 What is the remainder when 67 is divided by (510/(-20))/((-3)/2)? 16 Suppose -2*b + 3*r + 50 = 0, 0 = 2*b - b + 3*r - 7. Let u = -19 - -12. What is the remainder when b is divided by (-2)/u - (-141)/21? 5 Let r = 122 + 21. Suppose 4 + r = 3*z. What is the remainder when z is divided by 17? 15 Let n be -2 + 1 + -1 + 14. Suppose -3*l + 0*l = -n. Suppose 23 = -l*g + 119. What is the remainder when g is divided by 13? 11 Suppose 12 = 5*h + 2*k, 4*k = h - 0*k + 2. Calculate the remainder when 28 is divided by h*(0 - -1) + 8. 8 Suppose 3*u - 4*p - 206 = 0, -4*u = u + 5*p - 355. Suppose -5*g + 15 = -u. Calculate the remainder when g is divided by 6. 5 Suppose -5*v + 8*v + 3*z - 21 = 0, -2*v + 5*z = -42. Calculate the remainder when 71/1 - (v + -9) is divided by 18. 15 Suppose 7*z - 6 = 4*z. Suppose z*w - 73 - 39 = 0. Let d = 36 - 17. What is the remainder when w is divided by d? 18 Suppose -6 + 3 = -x. Suppose x*l - 4*g - 76 = -27, -5*l + 67 = -3*g. Suppose -9 = -z - 3. What is the remainder when l is divided by z? 5 Suppose -35 = -2*z + 3*l, 5*l = -4*z + 2*z + 43. Let x = 3 + 2. Calculate the remainder when z is divided by x. 4 Let v(h) = 3*h**2 + 8*h + 6. What is the remainder when v(-5) is divided by 11? 8 Let s(k) = 5*k + 12. Calculate the remainder when 22 is divided by s(0). 10 Suppose 14*k - 10*k = 48. What is the remainder when 44 is divided by k? 8 What is the remainder when 52 is divided by 3 + (-7 + 6)/((-2)/16)? 8 Suppose 2*m - 18 = 2*z, 4*m - 3*z - 16 = 16. Calculate the remainder when 23 is divided by m. 3 Let k(f) = -f + 2. Let j be k(11). Let g = 4 - j. What is the remainder when 37 is divided by g? 11 Let b = 13 + -21. Let l be (5/(-20))/(2/b). Calculate the remainder when 44 is divided by (-2 - (-2 - l))*15. 14 Let s(i) = 3*i. Let k be s(1). Suppose -k*j + 12 = -2*j. What is the remainder when j is divided by 5? 2 Suppose 2*t - 10 = -4*u + u, -4*t + 3*u = -20. What is the remainder when 11 is divided by t? 1 Suppose -10*m = -2*m - 648. What is the remainder when m is divided by 14? 11 Let n = -164 + 239. Calculate the remainder when n is divided by 20. 15 Suppose -2*y = 3*h - 6, -4*h = -2*h + 4. Calculate the remainder when 25 is divided by (3 + y)/(2 - 1). 7 Let y = -28 - -33. Let z be 1*0*(-1)/(-1). Suppose y*h + 25 = z, u - 4*h - h - 48 = 0. What is the remainder when u is divided by 12? 11 Let p = -6 - -11. Let i = 12 - p. What is the remainder when 19 is divided by i? 5 Let o be 2*(-6 + (1 - -1)). Let p = -63 - -101. Calculate the remainder when p is divided by o/44 - 145/(-11). 12 Let i(k) = 2*k. Suppose 0 = 2*w - u - 92, -u + 96 = -3*w + 5*w. Calculate the remainder when w is divided by i(6). 11 Let t be 52/14 - 10/(-35). Let g = t - 3. What is the remainder when 20 is divided by (-1)/(g - 36/33)? 9 Let a = 55 + -87. Suppose -4*g + 3*s + 17 = -5*g, -4*s = -8. Let n = g - a. Calculate the remainder when n is divided by 5. 4 Let b(d) = 36*d**2 - 1. Let f = 2 - 1. Let u be b(f). Calculate the remainder when 20 is divided by 2/(-3) - u/(-3). 9 Let w(h) = 17*h + 8. Calculate the remainder when w(3) is divided by 6. 5 Calculate the remainder when (7 + 5)*(-28)/(-4) is divided by 22. 18 Suppose -2*l = l - 6. Let i(k) = 2*k**3 - 2*k**2 - 2*k + 2. What is the remainder when 23 is divided by i(l)? 5 Let q(z) = 16 + 7*z**2 + 9*z + 6*z**2 - 25*z - z**3. Let g be q(11). Suppose u = 3*u - g. What is the remainder when u is divided by 14? 13 Let v(r) be the first derivative of -7*r**2/2 + 2*r - 5. What is the remainder when 87 is divided by v(-4)? 27 Let q(x) = 17*x**3 + x**2 + 2*x - 1. What is the remainder when 74 is divided by q(1)? 17 Suppose -46 = -7*q + 143. What is the remainder when 159 is divided by q? 24 Suppose -50 = 2*r - 4*r. Calculate the remainder when r is divided by 14. 11 Let u be 2*-2*(74 - 3). Suppose -4*r - 48 = -0*r. Calculate the remainder when u/r + 2/(-3) is divided by 12. 11 Suppose 2*w = w. Suppose w = -2*u - u + 9. Let q = 5 - u. Calculate the remainder when 5 is divided by q. 1 Let x(j) = 39*j + 4. Calculate the remainder when x(1) is divided by 15. 13 Calculate the remainder when (-180)/5*(-2)/4 is divided by 7. 4 Suppose -s - 38 = -3*s - y, -2*y - 19 = -s. Suppose 10 = -f + 6*f. Suppose -f*h = -5*h + 165. Calculate the remainder when h is divided by s. 17 Let l(f) = -f**3 + 6*f**2 + f - 11. What is the remainder when l(5) is divided by 6? 1 Let r = 19 + -11. Suppose j - r = -j. What is the remainder when j is divided by (-1 + (-9)/6)*24/(-30)? 0 Let b(v) = -4*v**3 + v**2 + 3*v - 4. Let m(g) = 5*g**3 - g**2 - 3*g + 4. Let z(o) = -4*b(o) - 3*m(o). What is the remainder when 25 is divided by z(3)? 12 Let j = -17 - -28. Suppose 5*g - 14 = j. Let u = 11 + -8. Calculate the remainder when g is divided by u. 2 Calculate the remainder when 130 - (-2 - -5) - -3 is divided by 44. 42 Let f(h) = h + 1. Calculate the remainder when (-9)/6*(-68)/6 is divided by f(5). 5 Let j = 20 - 3. What is the remainder when 48 is divided by j? 14 Let v(y) = -y**3 + 6*y**2 - 2*y - 4. Let c(b) = b**3 + b**2 - 1. Let s(m) = 3*c(m) - v(m). What is the remainder when s(2) is divided by 9? 7 Let u(s) = s - 1. Let o be u(4). Suppose 3*g + 2*k = 145, -4*k - 25 = -o*g + 2*g. What is the remainder when g is divided by 12? 9 Suppose -3*o + 653 = 3*v + o, -5*o + 872 = 4*v. What is the remainder when v is divided by 45? 43 Let q = 50 - 21. Let d = -20 + q. What is the remainder when d is divided by 4? 1 Let s be 25 - -2 - 3/(-1). What is the remainder when 80/s*(-198)/(-8) is divided by 17? 15 Let t = 57 + -36. Let x = -141 - -153. What is the remainder when t is divided by x? 9 Let f(b) = b + 18. Let m be f(-12). Calculate the remainder when 2 is divided by 3/(0 + 9/m). 0 Let m(l) = -l**3 - 5*l**2 + 2*l - 3. Suppose 0*v - 28 = 5*v - 2*q, -11 = 2*v - q. Calculate the remainder when m(v) is divided by (77/14)/((-1)/(-2)). 10 Suppose -2*o = -2, -45 = -4*i - 5*o - 0*o. Let c(g) = 5*g - 4*g + 2 - 3 - 2. What is the remainder when c(i) is divided by 2? 1 Calculate the remainder when (3 + 2)/(-2 - 60/(-28)) is divided by 9. 8 Suppose s + 110 = 5*z + 5*s, -s = 0. What is the remainder when 2 + z + (-2)/1 is divided by (3 + -1)*(-4 + (-6 - -14))? 6 Let c(p) = 5*p**2 + 13*p - 11. Let z(m) = 11*m**2 + 27*m - 23. Let f(y) = -13*c(y) + 6*z(y). What is the remainder when 14 is divided by f(7)? 4 Suppose -4*x + 3*r + 28 = 2*r, 0 = 5*x - 2*r - 35. Suppose 5*b - 24 = 36. Calculate the remainder when b is divided by x. 5 Suppose 0 = -3*p - 3*a + 45, 3*p - 4 = 2*a + 21. Calculate the remainder when 31 is divided by p. 9 Suppose 2*i + 16 = 6*i. Let a = 7 - i. Suppose -3*p + 0 = b - 42, -9 = a*b. Calculate the remainder when p is divided by 8. 7 Let t = -67 - -107. What is the remainder when t is divided by 21? 19 Suppose -13*g + 1531 = 361. Calculate the remainder when g is divided by 31. 28 Calculate the remainder when 6*(91/6 - 2/3) is divided by 18. 15 Let j be 14/(-49) + (-37)/(-7). Suppose 0 = -5*l - 5*m + 140, -m + 0*m - 110 = -j*l. What is the remainder when l is divided by 8? 7 Let x = 51 + -23. Suppose 10 = 2*v - 30. Suppose -m = -3*m + v. Calculate the remainder when x is divided by m. 8 Let v = 115 + 247. Suppose 4*y - v = 66. Suppose -3*n = -5*l - y, l + 93 = 3*n - 22. Calculate the remainder when n is divided by 14. 11 Let u be -2*(116/(-8) - 3). Suppose 111 = 2*v + v - p, -v = -p - u. Calculate the remainder when v is divided by 20. 18 Let r(a) be the second derivative of -a**4/24 - a**3/2 + a**2 - 3*a. Let m(i) be the first derivative of r(i). What is the remainder when 6 is divided by m(-7)? 2 Suppose -62 = -2*g - 6. Suppose 0 = -4*v + 39 - 15. What is the remainder when g is divided by v? 4 Calculate the remainder when 102 is divided by ((-20)/6)/((-6)/63). 32 Suppose 2*o + c = 54, 5*o - 13*c = -14*c + 141. Calculate the remainder when o is divided by (-31)/(-4) + 2/8. 5 What is the remainder when 31 + 3 + (0 - 0) is divided by 9? 7 Suppose -4*n + 5 = -d + 22, 0 = d - 2*n - 27. Suppose -4*f + d + 3 = 0. Let c(u) = -2*u**2 + 22*u + 8. What is the remainder when c(10) is divided by f? 8 Suppose a + 95 = 5*a - x, 3*a - 65 = 2*x. Suppose -m + 86 = -4*o,
{ "pile_set_name": "DM Mathematics" }
e Does 8 divide 50468279? False Is 1339 a factor of 24969672? True Is 218809620 a multiple of 90? True Is 2445 a factor of 35707995? False Does 693 divide 5259177? True Does 164 divide 16335371? False Is 41790564 a multiple of 18? True Is 18149637 a multiple of 33? True Does 68 divide 3842062016? True Is 1999450221 a multiple of 1041? False Does 843 divide 303965543? False Is 771 a factor of 3089154? False Is 2 a factor of 36444220? True Is 376 a factor of 16027000? True Is 3028 a factor of 121174504? True Is 483883948 a multiple of 746? True Is 104 a factor of 100093606? False Does 5 divide 146418054? False Is 538 a factor of 25897168? True Is 7718303 a multiple of 111? False Does 398 divide 11222582? False Is 81 a factor of 507951? True Is 110849627 a multiple of 161? True Is 56 a factor of 368991092? False Does 1192 divide 142992421? False Does 1752 divide 551431488? True Is 7965180 a multiple of 4? True Is 1030956840 a multiple of 8? True Is 13 a factor of 16453710? True Is 216824355 a multiple of 117? False Does 686 divide 357084960? False Is 30590158 a multiple of 3? False Does 16 divide 249539648? True Is 4286 a factor of 3815632229? False Is 36895650 a multiple of 1298? True Is 2142 a factor of 27137128? False Is 2 a factor of 185908165? False Is 1043 a factor of 1699073075? True Is 32328512 a multiple of 765? False Is 235 a factor of 51570890? False Is 14 a factor of 291791302? False Is 207371752 a multiple of 13? False Does 4249 divide 1372520478? True Does 436 divide 3424809212? True Is 390138355 a multiple of 11? False Is 5714 a factor of 107757837? False Is 39806280 a multiple of 20? True Is 463348506 a multiple of 71? False Does 46 divide 75191841? False Is 143273815 a multiple of 219? False Is 5 a factor of 324428? False Is 29 a factor of 2852714? False Is 125093500 a multiple of 2060? True Does 958 divide 1193600940? True Is 6681 a factor of 326133015? True Is 48 a factor of 77507280? True Does 31 divide 2647187256? False Is 602 a factor of 117172076? True Is 11341425 a multiple of 335? True Is 1359043245 a multiple of 189? True Is 415786923 a multiple of 249? True Does 1843 divide 2614233? False Does 143 divide 24891295? True Does 6 divide 161360994? True Does 26 divide 868075234? True Does 1123 divide 25546107? False Is 34 a factor of 13086724? False Does 2824 divide 83881272? True Is 395602412 a multiple of 1944? False Does 926 divide 697164102? True Is 287819622 a multiple of 54? True Is 3021 a factor of 190957410? True Does 1138 divide 2169592967? False Does 451 divide 177229599? False Is 3 a factor of 1042310? False Is 58802187 a multiple of 9? False Does 2044 divide 96415480? True Is 4604789287 a multiple of 63? False Is 14 a factor of 453809174? True Is 1604821486 a multiple of 2351? False Does 151 divide 137952575? False Is 4455495 a multiple of 5? True Is 116 a factor of 12157032? True Does 1213 divide 24505318? False Is 8557326 a multiple of 2122? False Is 5354595 a multiple of 2? False Is 434336584 a multiple of 7864? True Does 37 divide 167253838? True Is 18551372 a multiple of 14? True Is 2944239936 a multiple of 9446? False Is 20918714 a multiple of 409? True Is 170 a factor of 170483990? True Is 35014096 a multiple of 184? True Is 1965 a factor of 37173870? True Does 206 divide 16425822? True Is 601 a factor of 366461553? True Is 205 a factor of 6808479? False Does 350 divide 1130500? True Is 2491029949 a multiple of 167? True Is 26 a factor of 40899768? True Is 12437797 a multiple of 9? False Is 95604775 a multiple of 175? True Does 19 divide 75111313? True Does 59 divide 104214228? False Is 1799054472 a multiple of 2058? False Is 162 a factor of 10173873? False Is 455462700 a multiple of 761? False Is 12819613 a multiple of 342? False Does 8 divide 10703560? True Is 23 a factor of 24435119? False Is 9746593 a multiple of 262? False Is 219252410 a multiple of 1090? True Does 16 divide 736435143? False Is 4596879648 a multiple of 16? True Is 227 a factor of 499685339? True Is 129885 a multiple of 105? True Is 29 a factor of 58087515? False Is 551 a factor of 1781464627? False Does 68 divide 947854? False Is 771 a factor of 69394689? False Does 1155 divide 25740424? False Is 2728 a factor of 1035911219? False Is 28 a factor of 148730254? False Does 107 divide 73062297? False Does 2606 divide 1418198230? True Is 1806624 a multiple of 216? True Is 9075574 a multiple of 9? False Is 18263868 a multiple of 793? False Is 31 a factor of 17771463? True Is 40052708 a multiple of 24? False Is 16 a factor of 3740739744? True Is 2171 a factor of 245779684? False Is 2776548 a multiple of 9? False Is 33 a factor of 1202525? False Is 1099 a factor of 816279173? False Is 2452488 a multiple of 136? True Is 16 a factor of 130027616? True Does 2 divide 12976886? True Is 1622167318 a multiple of 31? True Does 836 divide 93374856? False Does 176 divide 43164528? True Does 30 divide 35610000? True Is 103 a factor of 1196177110? True Does 103 divide 359071287? True Does 18 divide 16572294? True Is 10 a factor of 8086294? False Is 3592 a factor of 1100853076? False Is 378 a factor of 1942164? True Does 20 divide 53567205? False Is 166 a factor of 28198088? True Does 122 divide 758526582? True Is 188177431 a multiple of 13? True Does 163 divide 251892213? True Is 701041250 a multiple of 125? True Is 57 a factor of 11677590? True Is 635 a factor of 146427190? True Is 420 a factor of 49693140? True Is 4136218586 a multiple of 37? False Does 649 divide 496033124? False Is 4318068430 a multiple of 434? False Is 2 a factor of 5571950? True Is 26179631 a multiple of 88? False Is 78 a factor of 1402630008? True Does 453 divide 121328349? True Is 47686264 a multiple of 546? False Is 419039 a multiple of 179? True Does 60 divide 1026431880? True Is 619 a factor of 33612938? True Does 94 divide 548954982? False Is 2373 a factor of 1589492352? True Is 81127145 a multiple of 585? False Does 14 divide 143551322? False Is 9709984 a multiple of 32? True Is 2107 a factor of 305620350? True Is 332 a factor of 137990014? False Is 28503810 a multiple of 145? True Does 28 divide 3474972144? True Is 24 a factor of 295755480? True Does 261 divide 8858079? True Is 1321 a factor of 434947176? True Does 13 divide 23291060? True Does 168 divide 701535240? True Does 312 divide 1185700464? True Is 4 a factor of 3602383? False Does 113 divide 78988243? True Is 3 a factor of 15700755? True Does 65 divide 1268685470? True Does 10 divide 52898931? False Is 25 a factor of 61162975? True Is 14 a factor of 2841874? True Does 5 divide 1357578089? False Does 7 divide 36172157? True Does 561 divide 1255155033? True Is 77 a factor of 723347373? False Does 102 divide 356524476? True Is 9 a factor of 1607534910? True Does 779 divide 55356519? True Is 307629089 a multiple of 239? True Is 181931200 a multiple of 1760? True Is 3279 a factor of 322365048? True Does 23 divide 34932854? False Is 3 a factor of 40241673? True Is 703 a factor of 1649238? True Does 22 divide 4267350? False Does 12 divide 650581967? False Is 29907089 a multiple of 1039? False Is 278 a factor of 2012493986? True Does 35 divide 48537160? True Is 4716 a factor of 67691683? False Does 18 divide 417628332? True Is 2451 a factor of 130164241? False Does 506 divide 2240524? False Does 58 divide 1946169706? False Does 8 divide 32392984? True Is 38 a factor of 216043860? False Does 8 divide 384992056? True Does 18 divide 77229270? True Does 97 divide 49060179? False Does 4126 divide 782535991? False Does 970 divide 19891785? False Is 1150916823 a multiple of 529? False Does 47 divide 240663312? True Is 326708480 a multiple of 257? False Is 1967636660 a multiple of 3509? True Is 47 a factor of 54065369? True Does 3276 divide 163278103? False Does 14 divide 23619904? True Does 1453 divide 7973042? False Is 17 a factor of 126751? False Does 4779 divide 318742982? False Does 11 divide 170473919? True Does 19 divide 1025545734? False Is 196988697 a multiple of 1694? False Does 299 divide 53225508? False Is 3429640885 a multiple of 6857? False Is 742 a factor of 18999652? True Is 1698 a factor of 1019686356? True Is 2429 a factor of 28703277? False Is 54430167 a multiple of 759? True Is 5409 a factor of 67646803? F
{ "pile_set_name": "DM Mathematics" }
4 + 0.9. What is the smallest value in f, 3, -0.3, -2/7? f Let s = 96619 + -871364/9. Let p = 199 + s. Let n be (-26)/21 + 4/6. Which is the third biggest value? (a) -3 (b) n (c) p a Let i = 0.8 - 0.3. Suppose 3*v + 2*v + 9 = -3*n, -2*v = 2*n + 6. What is the second smallest value in i, v, -4? v Let t = -10.9 - 0.1. Let z = -11.1 - t. What is the smallest value in 8/7, 0.4, z? z Let o = -0.52 - 0.08. Let s = o + 0.2. Let h = s - -0.1. What is the second smallest value in -0.2, 5, h? -0.2 Let v be 13/(-34) - (-23)/46. What is the second biggest value in -4, 0, v? 0 Let y = 1.3 - -0.3. Let k = y + -2. Let o = -0.7 - -0.2. Which is the third smallest value? (a) o (b) -2 (c) k c Suppose -v = v. Let r = -12 - -7. Which is the smallest value? (a) v (b) 0.2 (c) r c Let g = 3.9 + -4. Let s = 0.1 - g. Let w = s + -0.3. Which is the biggest value? (a) -3 (b) w (c) -2 b Let o be (3 - 2) + 4/(-3). Let t = -24 - -20. Which is the smallest value? (a) 2/5 (b) o (c) t c Suppose 24 = h - 5*h. Let g = 8 + h. What is the smallest value in 8/9, -1/2, g? -1/2 Let q be (-166)/11 + (-1 - -1). Let x = q + 15. Let p = -0.04 - -0.04. What is the third smallest value in 3/2, x, p? 3/2 Let j = -8.1 - -0.1. Let r = -4 - j. Let m = 7 - r. Which is the third biggest value? (a) 4 (b) m (c) 1 c Let i = 17 + -16.3. Let p = 3.7 - i. What is the smallest value in p, -0.4, -1/6? -0.4 Let q = -0.06 - -0.36. What is the third biggest value in q, 2, -1/2? -1/2 Let f = 5.7 - 6. Let s = 0.2 + f. Let w = 0.03 - -0.27. Which is the third biggest value? (a) s (b) 6/7 (c) w a Let z be (-5)/6*(5 + -13 + 2). Which is the second smallest value? (a) z (b) 3/10 (c) 0.4 c Let p = 0.1 + 4.9. Let w = 16.7 + -17. Which is the third biggest value? (a) p (b) -2 (c) w b Let x = 0.8 - -0.7. Let t = 0 - 1. Let i = x + t. What is the biggest value in 0.1, -2, i? i Let h = 27.99 + -27. Let q = -0.01 - h. Let n be 12/(-9)*6/2. Which is the smallest value? (a) q (b) 0.3 (c) n c Let j = 0.3 + 0.2. Let v = 18/25 - 3/25. Let o = 58 + -58.2. Which is the third smallest value? (a) j (b) v (c) o b Let m = -12.6 + 13. Let v be ((-758)/30)/(48/(-20)). Let y = v + -43/4. What is the third smallest value in y, m, -4? m Let k = 0.167 - -3.833. Which is the second biggest value? (a) -2/77 (b) k (c) 1 c Suppose 0 = -3*n + 3*r + r + 8, 3*n - 2 = r. Suppose z = -5 - n. Which is the smallest value? (a) z (b) -4 (c) 3 a Let u = -5 + 10. Let t = -0.24 + 0.14. What is the second biggest value in t, u, 0.3? 0.3 Let n = 7.2 - 7. Let v = 0.1 + -0.5. Let k = v + n. What is the biggest value in 2/5, 0.1, k? 2/5 Let g = -0.07 + -0.23. Which is the third smallest value? (a) g (b) 2/3 (c) -2 b Let b be (-16)/(-12) - (0 + 1). Let c be -94 + (2 - (-3 + 2)). Let d = c - -457/5. What is the smallest value in d, b, -4/7? -4/7 Let a = 2 - 0. Let d = 3 - a. Let t(w) = -5*w**3 - 4*w - 4. Let u be t(-1). What is the second smallest value in d, -2/15, u? d Let s = -0.155 + 26.355. Let f = 17.5 - s. Let p = -9 - f. Which is the second smallest value? (a) -3/7 (b) 0.2 (c) p c Suppose l = -4*c - 10, -2*c = -3*l - 4*c - 10. Let y = l + 5. What is the smallest value in -0.1, 0.5, y? -0.1 Suppose 0*t = -4*t - 2*m - 12, 5*t + 2*m + 15 = 0. Let c = 0.2 + 0.3. What is the smallest value in t, c, 0? t Let g = -4.84 + -0.16. What is the third biggest value in g, 2, -0.4? g Let a(f) = f**3 + 4*f**2 + 3*f + 1. Let t be a(-3). Let n = t - 0. Let u = 1.795 - -0.205. What is the second smallest value in n, u, 0.3? n Suppose 5*x - 2*a = -15 - 22, -2*x + 5*a + 2 = 0. Let z be ((-2)/4)/((-1)/10). Let w be 5/(-15)*x/z. What is the second biggest value in -2/7, 4, w? w Let i = -43712/3 + 439433/30. Let n = 77 - i. What is the smallest value in n, -1, 1? -1 Suppose -y + 9 = 3*s, -3*s + 8 = -4*y - 1. Which is the second biggest value? (a) 5 (b) s (c) -1/6 b Let w = -3 - -6. Let s = w - 3.1. What is the third biggest value in -0.4, 0.2, s? -0.4 Let l = 0.395 + 0.005. What is the third biggest value in -0.1, l, 7, -0.3? -0.1 Let o = -9.03 - -0.03. Let z = o + 9.2. Which is the third biggest value? (a) -0.5 (b) z (c) -3/2 c Let v = 0.1 + 2.4. Let i = 6.5 + v. Which is the smallest value? (a) 3/8 (b) i (c) -0.5 c Let y = 902 - 897.99. Let h = -0.01 + y. Let s(d) = -d**2 - 3*d + 4. Let w be s(-4). Which is the smallest value? (a) w (b) -2/3 (c) h b Let v = -0.73 + 5.73. Which is the biggest value? (a) v (b) 6 (c) -2 (d) -4 b Let b be 2/7 + (-1335)/1610. Let t = -1/23 - b. What is the smallest value in 1, t, 2? t Let y = -8.6 + 13.49. Let r = y + 0.11. Which is the biggest value? (a) 3/4 (b) r (c) -4 b Suppose 0 = 3*t - 3. Let v = 0 - -0.1. Let k = 7 - 7.4. What is the second smallest value in k, v, t? v Let n = -2.5 - -2. What is the second biggest value in n, -0.3, -3? n Let p = 11.2 + -11. Let r = -2.2 + p. Which is the third biggest value? (a) r (b) 1/5 (c) 1 a Let o = -3.02 - -0.02. Let l = -6 + 4. Let q = -1.98 - l. Which is the smallest value? (a) q (b) o (c) -2 b Let y = 4/49 - 198/1225. What is the third smallest value in -4, 1, y? 1 Suppose 0 = -p - 5 + 7. Which is the smallest value? (a) p (b) -5 (c) -4 b Let o = -5 + 8. Let n = 0.5 + 0. Which is the third smallest value? (a) 4 (b) n (c) o a Let n = 5 + -8. Let r = -0.13 - -6.13. Let y = n + r. What is the smallest value in -1, y, 2? -1 Let x = 0.9 + 7.1. Let q = -9 - -21. Let b = q - x. What is the third smallest value in b, 1/5, 0.1? b Let i(r) = r + 1. Let v be i(-3). Let w = -3 + v. Which is the biggest value? (a) w (b) -1/7 (c) 0.2 c Suppose -23 = -5*f - 13. What is the smallest value in f, -7, -2/7? -7 Let g = -2651/6 - -443. Let o = 17/12 - g. What is the second biggest value in -0.4, -3, o? -0.4 Let n be -8*-1*(-1)/(-2). Suppose -3*w = -0*j + n*j - 12, 2*w + 15 = 5*j. Which is the third smallest value? (a) 4 (b) -0.3 (c) j a Let m = -1 + 2. Suppose -2*s = 7 - m. Which is the second smallest value? (a) 0.4 (b) s (c) -2 c Let h be ((-195)/(-6))/(-5) - -3 - -2. Suppose 2*z - 2*o = 6, -2*o - 9 = z - 0*o. What is the smallest value in z, 2, h? h Let o be 87*(-4)/(-816) + (-3)/12. Which is the biggest value? (a) o (b) 1/10 (c) -2 (d) 0.5 d Let y = -1 - 1. What is the biggest value in -2/11, y, 1/2? 1/2 Let k be ((-1275)/87)/(-5) + -3. Which is the third smallest value? (a) -1/4 (b) -1 (c) k c Let g be (35/(-12))/7*-4. What is the second biggest value in g, -4, 5? g Let j = -24/55 - -2/55. Let g be (-1)/3*-1*-5. Which is the third biggest value? (a) -4 (b) j (c) g a Let u = 0 + -3. Let y = u + 2. Which is the biggest value? (a) y (b) 4 (c) -2 b Let l = -4 - -5. Let s = l + 3. Let h = 2 + -2.3. What is the biggest value in s, -4, h? s Let u = -0.02 - -0.07. Let m = u - -0.45. What is the third biggest value in 4, -5, m? -5 Let m(q) be the second derivative of q**4/12 - 4*q**3/3 + 3*q**2/2 + 9*q. Let y be m(6). What is the second smallest value in 0.1, y, -5? -5 Let t(z) = 2*z**2 + z - 5. Let n be t(-3). Suppose 8*a - 6*a - n = 0. What is the smallest value in -2/9, a, 0.5? -2/9 Let i = -26 + 23. What is the third biggest value in i, 3/7, -1? i Let h = 9.3 + 3.7. Let j be (-16)/(-7)*4/(-16). Which is the third biggest value? (a) 4 (b) h (c) j c Let o = 2.9 + -3. Let g = -0.3 - o. Let n = 2 + -2.1. What is the third smallest value in g, 0.1, n? 0.1 Let l = 2/15 + -7/15. Suppose -p = -5*p - 12. Which is the second biggest value? (a) l (b) -2 (c) p b Let d be 105/9 + (-3)/(-9). Let f be (-3)/((-1*2)/2). Suppose f*t + d + 3 = 0. What is the second biggest value in t, -1, -3? -3 Let p be (-684)/(-15) + (-9)/15. Let t = -5 - p. Let s = 352/7 + t. Which is the smallest value? (a) 3 (b) s (c) -2 c Let g be (-1)/(-2)*(-12)/15. Which is the third biggest value? (a) g (b) 1 (c) -1 c Let d be (-4)/3 - 40/(-24). Which is the smallest value? (a) -0.4 (b) d (c) -5 c Let u be (-1)/2 - (-2350)/44. Let g = -53 + u. Let p = -0.11 - 4.89. Which is the second smallest value? (a) 2 (b) p (c) g c Let j(v) = v**2 + 11*v - 10. Let i(s) = -s**3 + 10*s**2 - 11*s + 6. Let p be i(9). Let t be j(p). Which is the biggest value? (a) 4 (b) 1/4 (c) t a Suppose -5 = -5*g + 4*x, 4*g + 13 = -x + 38. What is the fourth biggest
{ "pile_set_name": "DM Mathematics" }
= -5*y + 8. Let h be (12/9)/(4/18). What is h*f(i) - 5*k(i)? i + 2 Let k(c) = c**3 - c - 1. Let t(d) = -6*d**3 - 2*d**2 + 4*d + 4. Calculate 4*k(s) + t(s). -2*s**3 - 2*s**2 Let f(z) = -21*z + 9. Let v(a) = 5*a - 2. Give 6*f(u) + 26*v(u). 4*u + 2 Let c(m) = -4*m**3 - 8*m**2. Let s(b) = b**2. Give -3*c(z) - 24*s(z). 12*z**3 Let u(x) = -3*x**2 + x + 4. Let z(g) = g**2 + 1. Calculate u(m) - 3*z(m). -6*m**2 + m + 1 Let g(r) = 1 - 2*r**2 - 2*r**2 + 3*r**2. Let w(k) = 3*k**2 - 5*k + 7. Let h(s) = -4*s**2 + 7*s - 10. Let n(o) = 5*h(o) + 7*w(o). Calculate -2*g(m) - n(m). m**2 - 1 Let r(d) = 3*d**2 + 10*d + 1. Let i(z) = -2*z**2 - 9*z - 1. Determine -7*i(p) - 6*r(p). -4*p**2 + 3*p + 1 Let u be 3/9 + (-10)/(-15). Let a(h) = -2*h**3 - 3*h**2 - 4. Let x(q) = -q**3 - q**2 - 1. Give u*a(i) - 4*x(i). 2*i**3 + i**2 Let h(m) = 2*m + 3. Let y(o) = o. Calculate -h(c) - 2*y(c). -4*c - 3 Suppose -h - 4*h - 65 = 0. Let o(b) = 8*b**2 - b + 6. Let z(i) = 17*i**2 - 2*i + 13. Give h*o(f) + 6*z(f). -2*f**2 + f Let g(q) = -q**3 - q**2 - q. Let z(c) = 59*c**2 + 3*c + 6*c**3 + 2*c - 55*c**2 + 1. Let x = -4 - 0. Calculate x*g(d) - z(d). -2*d**3 - d - 1 Let o(q) = -q**2 - q - 1. Let s(u) = -2*u**2 - 3*u - 2. Let h(n) = n**2 + 4*n - 8. Suppose 3*w + 24 = -2*k - k, 5*k + 15 = 0. Let z be h(w). Give z*o(m) + s(m). m**2 + 1 Let l(j) = -j - 1. Suppose n - 5*c + 2 + 3 = 0, 3*n - 2*c = 50. Let u(s) = -15*s - 20. Calculate n*l(g) - u(g). -5*g Let s(n) = -9*n + 18. Let u(v) = v - 1. What is s(q) + 18*u(q)? 9*q Let k(l) = 2*l**2 - 4*l - 4. Let w(x) = 4 - x + 5*x - 3*x - 2*x. Let n be w(0). Let u(h) = -3*h**2 + 7*h + 7. Give n*u(g) + 7*k(g). 2*g**2 Let o(c) = -80*c**3 - 7*c**2 - 7*c + 7. Let s(u) = 27*u**3 + 2*u**2 + 2*u - 2. Calculate -2*o(n) - 7*s(n). -29*n**3 Let t(q) be the second derivative of q**2 + 0*q**4 - 3/2*q**3 + 0 + 3/10*q**5 + 5*q. Let w(o) = 3*o**3 - 4*o + 1. Calculate -4*t(x) + 9*w(x). 3*x**3 + 1 Let r(y) be the first derivative of -y**4/4 + 7*y**2/2 + 1. Let s(i) = -3*i - 58 - 60 + 118. What is -3*r(z) - 7*s(z)? 3*z**3 Let h(b) be the second derivative of b**4/24 - b**2/2 - 2*b. Let j(l) be the first derivative of h(l). Let f(g) = -1 - 3*g + 1 + 7*g. Give -f(w) + 5*j(w). w Let g(c) = 2*c + 0*c - 4*c + 3*c. Let f(z) = 1. Give 2*f(v) - g(v). -v + 2 Let p(d) = -7*d**2 + 5*d. Suppose 3 = t - 7. Let c(n) = -4*n**2 + 3*n. Determine t*c(v) - 6*p(v). 2*v**2 Let u(n) = 1. Let p(s) = -42 + 2*s + 24 + 22. Suppose -4*f + 3*f = -3*y - 8, f + 3*y + 10 = 0. Give f*p(g) + 4*u(g). -2*g Let i(s) = 5*s + 1. Let l(f) = 5*f + 1. Calculate -6*i(k) + 4*l(k). -10*k - 2 Let k(n) be the second derivative of 0*n**4 + 2*n + n**2 + 1/5*n**5 + 0 + 1/3*n**3. Suppose 0 = 3*a - 7*a + 4. Let i(c) = -c**3 - c - 1. Give a*k(w) + 2*i(w). 2*w**3 Let v(u) = 11*u**2 + 5. Let f(j) = -16*j**2 - 8. Give -5*f(m) - 8*v(m). -8*m**2 Let v(n) = 38*n**3 - 6. Let x(w) = -608*w**3 + 95. What is -95*v(c) - 6*x(c)? 38*c**3 Let n(c) = 3*c - 1. Let i be n(2). Let p(t) = t - 1. Let f(w) = 8*w - 8. Let x(a) = f(a) - 4*p(a). Let b(s) = -5*s + 5. Determine i*b(g) + 6*x(g). -g + 1 Let w(t) = -8*t**2 - 7*t + 6. Let r(j) be the third derivative of -17/6*j**3 - 9*j**2 + 23/60*j**5 + 0 + 5/6*j**4 + 0*j. Calculate 6*r(n) + 17*w(n). 2*n**2 + n Let v(z) = 3*z - 7. Let b(q) be the second derivative of -q**3/3 + 5*q**2/2 - 36*q. Suppose -3*a + 2 = -2*t, -4 = a - 0*a. Give t*b(w) - 5*v(w). -w Let l(n) = -15*n**3 + 5*n**2 - n. Let s(v) = 22*v**3 - 7*v**2 + 2*v. Calculate -7*l(k) - 5*s(k). -5*k**3 - 3*k Let k(a) = -10*a**3 - 3*a**2 - 3*a + 3. Let c(z) = -10*z**3 - 4*z**2 - 4*z + 4. Determine -3*c(h) + 4*k(h). -10*h**3 Let g(w) = -2*w**2 + 6*w**2 + 5*w - 4 - w - 2*w**2. Let o(z) = -7*z + 7. Let t(v) = 13*v - 13. Let s(i) = -11*o(i) - 6*t(i). What is g(p) + 4*s(p)? 2*p**2 Let p(z) = 5*z**3 - 3*z**2 + 4*z + 1. Let r(s) = -14*s**3 + 8*s**2 - 11*s - 4. Give 11*p(d) + 4*r(d). -d**3 - d**2 - 5 Suppose 2*v = 2*m + 2, v + 6*m - 21 = 3*m. Let z(r) = -r + 3 - 2 + 2. Let n(g) = -4*g + 11. Determine v*n(f) - 22*z(f). -2*f Let j(t) = -3*t + 3. Let k(w) = w - 1. Let s(v) = -3*j(v) - 8*k(v). Let o(c) = -c + 3. Suppose 3*l = 4*l - f + 6, 0 = -3*l - 5*f + 14. What is l*s(r) - o(r)? -r - 1 Let f be 2/(-10) - 41/(-5). Let i(t) = t**2 - 2*t - 3. Let v(k) be the second derivative of -k**4/6 + k**3/2 + 5*k**2/2 - k - 27. Give f*i(l) + 5*v(l). -2*l**2 - l + 1 Suppose -7 = 4*o - 3*o. Let d(x) = -5*x**3 - 7*x**2 - 7*x + 2. Let k(u) = 2*u**3 + 3*u**2 + 3*u - 1. Determine o*k(j) - 3*d(j). j**3 + 1 Let z(r) be the third derivative of -r**5/30 - 5*r**4/24 - 7*r**3/6 + 21*r**2. Let a(q) = -q**2 - 4*q - 6. What is 5*a(u) - 4*z(u)? 3*u**2 - 2 Let r be ((-4)/8)/(3/72). Let o = 7 + r. Let x(j) = -j**2 - j + 1. Let c(i) = -2*i**2 - 2*i + 2. Determine o*x(q) + 3*c(q). -q**2 - q + 1 Let n(w) = -w + 1. Let c(g) = 2 - 4 - 4 + 5*g. What is c(t) + 6*n(t)? -t Let b(m) = 14*m**2 - 23*m + 3. Let u(w) = w**3 - w - 1. Let h be u(2). Let d(z) = 4*z + 2*z + 2*z - 1 - h*z**2. Calculate -6*b(r) - 17*d(r). r**2 + 2*r - 1 Let g(l) = 3*l**3 - 6*l + 7. Let z(s) = -s + 1. Give -g(k) + 6*z(k). -3*k**3 - 1 Let j(p) = 14*p**2 + 14. Let h(v) be the second derivative of 3*v**4/4 + 9*v**2/2 - 3*v. Give -8*h(d) + 5*j(d). -2*d**2 - 2 Let d(j) = 2*j - 1 + 0*j - 4 + 3. Let u(c) = -8*c + 8. Determine 9*d(a) + 2*u(a). 2*a - 2 Let s(l) = -3. Let k(y) = y + 1. Let d be (0 + -3)/((-12)/(-8)). Give d*k(n) - s(n). -2*n + 1 Suppose -6 = -0*b + 3*b. Let l be (8/(-6))/(b/6). Let x(a) = a - 5. Let m(h) = 0 + 2*h - 4 - h. Give l*m(d) - 3*x(d). d - 1 Let q(f) = f**3 + f**2 - 1. Let s(u) = 12*u**3 + 7*u**2 + 5*u - 2. Let b(r) = 6*q(r) - s(r). Let y(v) = 5*v**3 + v**2 + 4*v + 3. What is -3*b(m) - 4*y(m)? -2*m**3 - m**2 - m Suppose -4*g + 2*b = 2 - 16, -g + 2*b = 4. Let n(p) = -5*p**3 - p**2 + 6*p + 6. Let d(h) = -10*h**3 - 2*h**2 + 13*h + 13. Calculate g*d(o) - 13*n(o). 5*o**3 + o**2 Let n(l) = -3*l**3 + 3*l**2 + 6*l. Let g(d) = 2*d**3 - 3*d**2 - 5*d. Determine -6*g(u) - 5*n(u). 3*u**3 + 3*u**2 Let g(i) = 16*i**3 - i**2 - 3*i + 5. Let m(o) = 15*o**3 - 2*o**2 - 4*o + 6. Calculate 4*g(b) - 3*m(b). 19*b**3 + 2*b**2 + 2 Let z(b) = 4*b**2 + 4*b. Let g(p) = -65*p + 67*p + 2*p**2 + 0*p**2 + 0*p**2. Calculate 7*g(s) - 3*z(s). 2*s**2 + 2*s Let d(c) = 62*c**3 - 6*c**2 + 6*c + 7. Let p(j) = -123*j**3 + 13*j**2 - 13*j - 15. Determine -13*d(v) - 6*p(v). -68*v**3 - 1 Let c(i) = -3*i - 5. Let x be 2/4 + (-7)/(-14). Let u(r) = x - 20*r + 21*r + 0. Give -c(w) - 5*u(w). -2*w Let t(c) = -c - 1. Let r(y) be the third derivative of -y**2 - 1/6*y**3 + 0*y - 1/24*y**4 + 1/60*y**5 + 0. What is -3*r(l) + 3*t(l)? -3*l**2 Let w = -1 + 2. Let h be (-21)/(-6) + 1/(-2). Suppose -h*c = -w - 2. Let o(m) = 4*m**2 + 5*m - 4. Let v(r) = -r**2 - r + 1. Calculate c*o(l) + 3*v(l). l**2 + 2*l - 1 Let o(j) be the second derivative of -1/6*j**4 + 0 + 0*j**3 + 5/2*j**2 - 6*j. Let q(u) = 1. Determine o(p) - 6*q(p). -2*p**2 - 1 Let a(n) = n**3 - 1. Let m(p) = 5*p**2 + 2. Determine 2*a(u) + m(u). 2*u**3 + 5*u**2 Let v(k) = 3*k**2 - 4 + 9*k + 3*k**2 - 2*k**2. Let z(m) = 6*m**2 + 14*m - 6. Let i(t) = -10*t - 75. Let n be i(-7). Give n*z(d) + 8*v(d). 2*d**2 + 2*d - 2 Let v(s) = 7*s - 35. Let n(u) = u + 1. Calculate 70*n(x) + 2*v(x). 84*x Let b(k) = -30*k**2 + 12*k + 12. Let n be 24/(-16)*20/(-6). Let p(o) = -12*o**2 + 5*o + 5. Determine n*b(u) - 12*p(u). -6*u**2 Let v(n) = 4*n - 13. Suppose 0 = 5*j + 15, -4*h + j + 3*j + 12 = 0. Let u(b) be the first derivative of h + 2 + 2 + 6*b - b**2 + 0. Determine 13*u(f) + 6*v(f). -2*f Let p(o) = o - 4. Let m be 1/(-3) - (-57)/9. Suppose a + a = m. Suppose y + 4*y + 4*r - a = 0, 6 = 2*y + 4*r. Let z(d) = 1. Give y*p(t) - 4*z(t). -t Let q(l) = 63 - 126 - 2*l + 63. Let c(n) = -5*n. What is 2*c(t) - 6*q(t)? 2*t Let p(l) = -l**3 - l**2 - l - 1. Let q(z) = z**3 + 5*z**2 + 3*z + 3. Let f be (-6)/(-5)*(-120)/18. Let o = f - -11. Give o*p(w) + q(w). -2*w**3 + 2*w**2 Let q(x) = -11*x**3 - 9. Let b(a) = -3*a**3 + 4 + 4*a**3 - a**3 + 5*a**3. Calculate -9*b(y) - 4*q(y). -y**3 Suppose 0 = b - 2*l - 4, 6*l = 3*l - 9. Let n = 9 - 4. Let h(a) = n - 5 - 1 + 5 + 3*a. Let i(d) = 7*d + 9. Determine b*i(s) + 5*h(s). s + 2 Let u(h) be the second derivative of 3*h + 0 + 7/2*h**2 - 1/12*h**4 + 5/6*h**3. Let q(x) = -x**2 + 4*x + 6. What is -5*q(j)
{ "pile_set_name": "DM Mathematics" }
be z(-11). Sort 3, p, n. p, n, 3 Let y be -1 + 3 - (-8 + 19 + -7). Sort y, -1/2, 1/5, 5.1 in decreasing order. 5.1, 1/5, -1/2, y Let q = -99.9 + 128. Let i = q + -28. Suppose 13 + 8 = -3*t. Put 1, i, t in increasing order. t, i, 1 Let c = -336 + 339. Let u = 0.08 + -0.06. Let z = u + -0.02. Put c, -1/6, z in decreasing order. c, z, -1/6 Let j(p) = p**3 - 6*p**2 - p + 9. Let s be j(6). Let w be 20/(-2)*(-6)/(-15). Suppose 8 = -21*t + 17*t. Sort w, s, t in descending order. s, t, w Let f = 380 + -362. Sort 5, 1, f, 3. 1, 3, 5, f Let l = -523 - -526. Sort l, 5, 4, 7. l, 4, 5, 7 Let b = 7.038 - 7.1. Let t = -0.162 - b. Let h = 1781/714 - -2/357. Sort h, t, 1/4 in ascending order. t, 1/4, h Let b(h) = h**2 + 3*h + 4. Let v be b(-2). Sort 5, v, 7, -2 in descending order. 7, 5, v, -2 Let n(w) = w**2 - w + 5. Let g be n(5). Suppose -3*m - 2*m = g. Suppose 5*j = 3*o + 8, 4*j + 4*o = 9 + 23. Sort j, 2, m in decreasing order. j, 2, m Suppose 2*m + 26 = 2*g, 44*m - 45*m - 2*g - 19 = 0. Sort m, 2, 4 in decreasing order. 4, 2, m Let h = 136/695 - -3/695. Put -2/13, h, -7, -0.2 in descending order. h, -2/13, -0.2, -7 Let r = -0.31 - -0.01. Let d be (4 - 4)/3 - -5. Suppose -6 = -p - q - 2*q, -8 = -p - d*q. Put p, r, 2/7 in increasing order. r, 2/7, p Let k = 4907/9 - 545. Put -3/5, -8/3, 1/5, k in decreasing order. k, 1/5, -3/5, -8/3 Let x be 3/2*(-2)/(-3). Suppose 5*c + 5*r = 0, -2*c + 10 + 2 = 5*r. Sort x, c, -2 in ascending order. c, -2, x Suppose a + 4*u - 1 = 0, 3*u = -a - 4*a + 22. Let v = 1 - a. Sort v, 0, -2/7 in ascending order. v, -2/7, 0 Let b = -110 + 332/3. Sort b, 12, 5. b, 5, 12 Suppose 247*n = 237*n - 180. Put n, 3, -4, -1 in decreasing order. 3, -1, -4, n Suppose -4*q + 20 = 0, -3*c = 4*q - 73 + 20. Let n = -340/31 + c. Put n, -0.2, 5 in increasing order. -0.2, n, 5 Let g = -6 + 5.86. Let z = 0.23 + g. Let u = 0.59 - z. Sort u, -2/9, 1 in descending order. 1, u, -2/9 Let l be (-2)/(-1)*(-3)/(-2). Suppose 2*c = -c - l*x + 48, -2*c - 3*x = -37. Put 1, c, -1 in ascending order. -1, 1, c Suppose 4*b = 40 + 12. Let c = b + -25. Suppose -2*p = m - 6, 3*p - p = 10. Sort -3, c, m. c, m, -3 Let g be 7/1 - (13 + -8). Suppose -3*u - 95 = -4*o, 0 = -5*o + 5*u - 24 + 149. Suppose 2*t = -2*t - o. Sort t, 3, g. t, g, 3 Let q be 7*(-18)/(-14) - 9. Let j(w) be the third derivative of -w**6/120 - w**5/12 - w**4/12 + w**3/2 + w**2. Let c be j(-4). Sort 2, c, q in decreasing order. 2, q, c Let k = -122662/91 - -16290/13. Let z = 95 + k. Sort z, 5, 2, 3 in descending order. 5, 3, 2, z Let r = 22 + -22. Suppose r = t - 4, -3*p - 3*t + 9 = -0*t. Sort p, 3, -5 in increasing order. -5, p, 3 Let c(h) = h - 36. Let f be c(37). Sort 15, f, 5 in descending order. 15, 5, f Let t be (2 - 6)/(((-4)/(-2))/2). Suppose -5*b + 20 = 2*i, 3*b - 3*i = -0*i + 12. Put 5, t, b in descending order. 5, b, t Let m be (5/(-10) + 0)*(650 + 0). Let o be 15/m - (-3)/15. Sort -0.4, 1/2, 17, o in increasing order. -0.4, o, 1/2, 17 Let c = -11.8 + 11.8. Let f be (-124)/(-28) - (5 + -2). Put c, f, -2 in increasing order. -2, c, f Let j = -7.04 + 7.54. Sort -11, -0.08, j in decreasing order. j, -0.08, -11 Let m = 248/3 + -995/12. Let d = 24.05 - 24. Sort d, m, -5, 2/3 in increasing order. -5, m, d, 2/3 Let f = -540 - -533. Sort -0.1, -4/5, f, -4 in increasing order. f, -4, -4/5, -0.1 Let v(o) = o**3 + 9*o**2 - 24*o - 18. Let x be v(-11). Put x, -0.28, -0.2, -4 in ascending order. -4, -0.28, -0.2, x Let r = 12.4 + -13. Let c = -3.6 - r. Let y = c - -5. Sort -0.2, -1/4, y in increasing order. -1/4, -0.2, y Let f = -109 + 55. Let p = f - -54. Sort p, -3, -2 in decreasing order. p, -2, -3 Let o be (-8)/20 + 8/20. Let h = 6 + -2. Let l = -4 - 1. Sort o, h, l. l, o, h Let c be (-6 - (-1 - 5))/(-1). Put c, 9, -10 in decreasing order. 9, c, -10 Let z = 0.1 + -0.3. Suppose 0*m + 11*m = -m. Sort z, -3, -3/5, m. -3, -3/5, z, m Let r = -25 - -24.5. Let w = -33 + 33.4. Sort r, w, -6, 1/2 in descending order. 1/2, w, r, -6 Suppose 3 = 4*p - 5*v - 0, 0 = -5*p - 2*v + 12. Let k(i) = 3*i**2 - 4*i. Let c be k(p). Sort 5, c, -1 in decreasing order. 5, c, -1 Let k = 5 + -4.7. Put k, -5, 3, -0.4 in decreasing order. 3, k, -0.4, -5 Suppose d - 5 = 6*d, 2*d = -2*x + 2. Let k be (12/(-10))/((-3)/10). Sort 5, k, x. x, k, 5 Let h = -0.8 + 0.5. Let i = 331 + -326. Sort 1, -4, i, h. -4, h, 1, i Let q = -0.119 - 75.881. Let w = q - -75. Put w, 4, -1/5, -1/3 in decreasing order. 4, -1/5, -1/3, w Let m = -2 + -1. Suppose -5*x + 46 - 21 = 0. Put x, 3, m, -2 in decreasing order. x, 3, -2, m Suppose -3*i + 3*s = -114, 31*i - 28*i = -5*s + 122. Put 2, -3, 1/11, i in increasing order. -3, 1/11, 2, i Let c be (6 - 1)*(-36)/(-60). Suppose 1 = c*h - 8. Let m be 4/96*-2*-3. Sort h, -0.4, m in descending order. h, m, -0.4 Suppose 4*t - 4 = 2*t + 4*a, 3*t - 5*a = 4. Sort -5, -4, 5, t. -5, -4, t, 5 Suppose 0 = -7*l + 5*l - 4. Let j be (9 + 5/5)/l. Put 3, -3, j in descending order. 3, -3, j Let v = 50 - 50.4. Let l be 200/(-18)*21/(-56). Let g = 221/54 - l. Sort 5, v, g in decreasing order. 5, g, v Let c = 23 - 10. Let n = 13 - c. Suppose n = u - 0*u. Put 0.06, u, 2 in descending order. 2, 0.06, u Let n = 6 - 2. Suppose 5 = 2*l + o, 2*l - n*o - o - 11 = 0. Sort -1, 2, l in descending order. l, 2, -1 Suppose d + 3 = 6. Suppose 4*y + 3*w = -2*w - 41, -d*y - 7 = -w. Let i(r) = -2*r**2 - 2*r + 1. Let f be i(1). Sort y, 5, f in ascending order. y, f, 5 Let u = 2 + -5. Let q = -2.108 - -0.108. Put q, 0, u in decreasing order. 0, q, u Suppose -2*g = -q + 1, -g + 2 = 3*q + 6. Let z be ((-8)/2)/(7/49). Let n be (g + z/(-8))*2. Sort -5, 1, n. -5, 1, n Let d(m) = -m**3 - 6*m**2 - 1. Let l be d(-6). Let p = 2054 - 2058. Put l, 1/8, p, -0.01 in decreasing order. 1/8, -0.01, l, p Let j = 0.23 - -3.77. Let r be 0/(18/(-3) + 8). Put j, r, 1 in descending order. j, 1, r Suppose -3*k + 20 = 2*k. Let s(w) = -w**3 + 4*w**2 + 15*w - 5. Let d be s(6). Suppose 5*o + 10 = 0, -5*l = 5*o + d - 3. Sort l, k, -3 in descending order. k, l, -3 Let l = 1027 - 1068. Put 2, l, -2 in descending order. 2, -2, l Let k = 75 + -78. Let w = -3.1 - k. Sort 1/8, w, -2, 1/5 in ascending order. -2, w, 1/8, 1/5 Let l = -360.5 - -286. Let p = l + 75. Sort p, -0.6, -3, -4 in increasing order. -4, -3, -0.6, p Let x = 0.076 + 0.02. Let n = -0.096 + x. Let q = -0.04 - 1.96. Put -0.5, q, n in ascending order. q, -0.5, n Let m = 0.5 - 7.5. Let x = -7.9 - m. Let p = x + 0.9. Sort p, 2/13, 2 in descending order. 2, 2/13, p Let l = 4.88 - -0.12. Let c = -5.5 + l. Suppose a - 4*a + 9 = 0. Sort a, c, -0.3. c, -0.3, a Let i(r) = -2*r**2 - 33*r + 7. Let n be i(-17). Put 21, n, 1 in descending order. 21, 1, n Let m be ((80/(-12))/2)/((-10)/24). Sort m, -14, -2, -1. -14, -2, -1, m Let w = -44 - -39. Let m = 45 - 42. Sort 4, m, w, -4 in increasing order. w, -4, m, 4 Let b = 3617 - 10742/3. Let h = b + -37. Let q be (-15)/6*(-4)/85. Sort 1, q, h in descending order. 1, q, h Suppose h - 34 = -4*g - 2*h, 0 = g - 3*h - 1. Suppose g*s - 11*s = 16. Put 2, s, 4 in increasing order. s, 2, 4 Let w = 189 - 189.46. Sort -2/5, w, -1 in decreasing order. -2/5, w, -1 Let u(s) = s**2 - 2. Let k be u(0). Let t be (3 + -15)*k/(-6). Sort t, -1, 1 in descending order. 1, -1, t Suppose 9*i = 4*i + 15. Let r = -7.1 + 7.6. Sort -11, r, i, -1. -11, -1, r, i Suppose 0 = 4*o - 4, -4*t + 18 = -0*t + 2*o. Suppose 0 = -0*v - t*v. Suppose 2*l + 18 - 8 = v. Sort 2, l, 3 in descending order. 3, 2, l Let k = 1393 - 1398. Put k, 100, -3 in ascending order. k, -3, 100 Suppose -o = -2*y - 33, -4*y + 43 = 3*o - 16. Suppose -o = -45*x + 40*x. Put x, -1, 4 in ascending order. -1, 4, x Suppose -5*c + 4 = 4*n, 3*n + 7 + 5 = 0. Suppose -14 - 6 = -c*o. Put o, -5, 4 in decreasing order. o, 4, -5 Suppose 18 = -3*c - n, -2*c - 13 = -0*c + n. Suppose 0 = 2*k - 3*u + 7, 3*u - 35 = -5*k - 0*u. Put -2/17, k, -2/15, c in increasing order. c, -2/15, -2/17, k Let x = -317/3 - -106. Let u = 2.2 + -11.2. Put x, u, -2/13 in decreasing order. x, -2/13, u Let f be ((-2)/4*-3)/(1443/104). Let p = -102/259 + f. Sort p, 4, 1/4, 5 in descending order. 5, 4, 1/4, p Suppose 5*u = -z - 0*u + 396, -2*z + 780 = -2*u. Sort 3, 0, -2, z in decreasing order. z, 3, 0, -2 Let m(x) = 7*x - 6. Let b(q) = q + 1. Let i(n) = 4*b(n) - m(n). Let k = 850 - 845. Let p be i
{ "pile_set_name": "DM Mathematics" }
- 1/84*v**8 + 0*v**5 + 3*v**2 + 0*v + 0*v**6 + 0*v**7. Find the second derivative of d(n) wrt n. -80*n**3 Let a(c) = 92*c**3 + 17*c**2 - 137*c - 17. Let z(q) = 31*q**3 + 6*q**2 - 46*q - 6. Let j(w) = -6*a(w) + 17*z(w). Find the second derivative of j(s) wrt s. -150*s Suppose -3 = 3*h - 5*h + 3*n, 5*h - 13 = 2*n. Let i(j) be the first derivative of 2 + 1/2*j**2 + 1/3*j**h + 0*j. Find the second derivative of i(q) wrt q. 2 Let y(l) be the third derivative of -l**8/112 - l**5/6 - l**2. What is the third derivative of y(r) wrt r? -180*r**2 Let i(o) = -26*o**3 + 10*o**2 + 2*o + 2. Let w(p) = -53*p**3 + 19*p**2 + 5*p + 5. Let r(z) = -5*i(z) + 2*w(z). What is the third derivative of r(l) wrt l? 144 Find the second derivative of -2*s**5 + 13*s - s - 5*s wrt s. -40*s**3 What is the second derivative of 7*v**4 + 10*v**3 + 37*v + 29*v**2 - 30*v**2 - 10*v**3 wrt v? 84*v**2 - 2 Let v be -1 - ((8 - 5) + -7). Let d(p) be the first derivative of -2*p + 0*p**2 + 0*p**v + 1/2*p**4 + 5. What is the derivative of d(j) wrt j? 6*j**2 Let t(i) be the second derivative of 3*i**7/14 - 5*i**4/6 + 8*i. Find the third derivative of t(a) wrt a. 540*a**2 Let j(h) be the first derivative of 0*h**3 + 6/5*h**5 + 0*h**2 - 9 + 0*h**4 - 9*h. Differentiate j(m) with respect to m. 24*m**3 Let n(l) be the third derivative of 3*l**6/40 - 5*l**4/8 + 5*l**2. Find the second derivative of n(r) wrt r. 54*r Suppose 3*s - 7*s = 0. What is the first derivative of 1 + 2 + s + h**3 wrt h? 3*h**2 Find the second derivative of -2*m + 13*m**2 - 27*m**2 + 0*m + m wrt m. -28 Let d(r) be the second derivative of -45*r**8/56 - 29*r**4/6 - 64*r. Find the third derivative of d(f) wrt f. -5400*f**3 Let b = -8 + 12. Let d(n) = 4*n**2 + 5*n - 2. Let f(s) = 2*s**2 + 2*s - 1. Let p(i) = b*d(i) - 10*f(i). What is the first derivative of p(m) wrt m? -8*m Suppose -g - 11*g = 0. Let d(n) be the second derivative of 0*n**4 + 0*n**5 + n**2 - 2*n - 1/15*n**6 + g*n**3 + 0. Differentiate d(m) with respect to m. -8*m**3 Suppose -g + 20 = 4*g - 5*y, 3*y - 16 = -4*g. Find the second derivative of l + 0*l + l + g*l**5 + 0*l**5 wrt l. 80*l**3 Suppose 3*g + 3 = 30. Suppose -g = -2*d + 1. Find the first derivative of -d + 5 + 4*y**2 + 3 wrt y. 8*y Let t = 14 + -10. Differentiate 4 - g**4 + 3*g**t + 0 with respect to g. 8*g**3 Let z = 3 - -2. Suppose u - 2 + 0 = -3*s, -6 = -3*u + z*s. What is the derivative of u - 5 - 3 - w**2 + 5 wrt w? -2*w Let t(s) = -s**3 + 2*s**2 - 3*s + 2. Let l be t(2). Let u = l + 4. Differentiate -2*n**2 - 2*n**2 + u*n + 0*n + 1 with respect to n. -8*n Suppose 30 = -3*t - 9. Let o = -10 - t. Find the third derivative of o*k**2 + 0*k**2 + 2*k**4 - 3*k**4 wrt k. -24*k Let c(n) be the second derivative of 0*n**2 - 2/3*n**4 + 0 + 0*n**6 - 1/28*n**8 + 6*n + 0*n**3 + 0*n**7 + 0*n**5. What is the third derivative of c(s) wrt s? -240*s**3 Let x(z) = -14*z**3 + z + 6. Let a(v) = 41*v**3 - 2*v - 17. Let u(d) = -6*a(d) - 17*x(d). What is the second derivative of u(c) wrt c? -48*c What is the second derivative of -94*s**4 + s - 107*s**4 - 5*s + 191*s**4 wrt s? -120*s**2 What is the derivative of 69*x**3 + 45 - 21*x**3 - x + x wrt x? 144*x**2 Find the third derivative of -5*c**6 - 4*c**6 - 19*c**2 + 11*c**2 wrt c. -1080*c**3 Suppose x + 2 = 0, 3*g + 2*x - 6*x - 11 = 0. Find the first derivative of 0 + o**4 - g + 4 wrt o. 4*o**3 Suppose -5*z = -5*i - 20, -2*z - 6*i + 14 = -11*i. Find the first derivative of a**2 - a**z - 1 - a**4 + 2*a**4 wrt a. 4*a**3 Find the second derivative of -5*x - 2*x**3 + 4*x**5 - 2*x**3 + 4*x**3 wrt x. 80*x**3 Suppose -2*o = -6*o + 24. What is the third derivative of -3*c**2 + 3*c**6 + 0*c**2 + c**o - c**2 wrt c? 480*c**3 Let r(v) be the third derivative of 3*v**6/40 - 3*v**4/8 - 12*v**2. What is the second derivative of r(y) wrt y? 54*y Let f be (-3)/(18/(-4) + 3). Find the third derivative of -4*m**3 + 12*m**3 + 2*m**f + 3*m**5 - 8*m**3 wrt m. 180*m**2 Suppose -5 - 4 = 3*u. Let g(q) = -q + 1. Let s(c) = 2*c - 5. Let f(z) = u*g(z) - s(z). What is the first derivative of f(v) wrt v? 1 Let g(a) = 0*a + 0*a + 6 - 1 - a**2. Let t be g(0). What is the second derivative of t + 2*s + 5*s**3 - 4*s**3 - 5 wrt s? 6*s Let r(d) be the first derivative of -3*d**5 + 7*d**3 + 26. Find the third derivative of r(g) wrt g. -360*g Let j = 2 + 0. What is the second derivative of k**4 + 3*k + 4*k**4 - j*k**4 wrt k? 36*k**2 Let m(z) be the third derivative of -11*z**6/120 + z**3 - 22*z**2. Find the first derivative of m(d) wrt d. -33*d**2 Let q(i) be the third derivative of 0*i**4 - 3/20*i**5 + 0*i**6 + 2*i**2 + 0*i**7 + 0 + 0*i**3 + 1/48*i**8 + 0*i. What is the third derivative of q(l) wrt l? 420*l**2 Let h(z) be the first derivative of -17*z**4/4 + 23*z**3/3 - 27. Find the third derivative of h(c) wrt c. -102 Suppose -3*t - 6 = -21, 3*t + 5 = 4*a. Find the second derivative of -h + 0*h**5 + 3*h**a + 0*h - h**5 wrt h. 40*h**3 Suppose -5*k = -10*k + 30. Let m(u) = k*u**2 - 2*u**2 - 3*u**4 - u**4. Let v(b) = -b**2. Let l(f) = m(f) + 8*v(f). Find the third derivative of l(t) wrt t. -96*t Let q be 2*(2/(-4) + 2). What is the derivative of 3 + q*w**2 - w**2 + 0*w**2 - 5*w**2 wrt w? -6*w Let q(g) = -23*g**4 - 7*g**3 + 27*g**2 - 7*g. Let h(u) = 11*u**4 + 4*u**3 - 14*u**2 + 4*u. Let d(y) = 7*h(y) + 4*q(y). Find the third derivative of d(v) wrt v. -360*v Let u(v) = 5*v**3 + 11*v**2 - 5*v. Let o(j) = -5*j**3 - 12*j**2 + 6*j. Let f(i) = 5*o(i) + 6*u(i). What is the third derivative of f(y) wrt y? 30 Let k(p) be the first derivative of -p**3/3 - 2*p**2 + 52*p + 5. What is the first derivative of k(t) wrt t? -2*t - 4 Let q be 3/(-18)*-3*6. Find the second derivative of 3*x**2 + 2*x - 3*x**2 + 2*x**q wrt x. 12*x Let t = 9 + -4. What is the second derivative of -3*y - y**5 - y**t + 0*y**2 + 0*y**2 wrt y? -40*y**3 Let a(x) be the second derivative of x**5 - 19*x**4/12 - 21*x. What is the third derivative of a(r) wrt r? 120 Let t(o) be the first derivative of -14*o**3/3 + 24*o + 19. What is the first derivative of t(v) wrt v? -28*v Let m(s) be the second derivative of -s**5/20 + s**4/4 - s**3/6 + s**2/2 - s. Let z be m(2). Find the third derivative of 5*t**2 - 3*t**2 - t**z - t**2 wrt t. -6 Let o be ((-8)/(-12))/((-1)/(-3)). Suppose 0 = 2*v + o*l - 16, -6*v + 4*v + 5*l = 19. What is the derivative of a**3 - 2 - 2*a**v + 1 wrt a? -3*a**2 Let h(v) = 2*v - 19. Let o be h(11). What is the second derivative of -4*q**3 - 7*q**o - 5*q + 3*q**3 - 2*q wrt q? -48*q Let b(t) = -t**2. Let p = 10 - 13. Let y(a) = a**2 - 1. Let f(r) = p*y(r) - 5*b(r). Differentiate f(u) wrt u. 4*u Find the first derivative of -l - 5*l - 34*l - 34 + 77 wrt l. -40 Let f be (0/(-7))/((-4)/(-2)). What is the derivative of 2 + w + 3 + f*w + 3*w wrt w? 4 Let j(b) be the second derivative of 0*b**7 + 0*b**2 + 0 - 2*b + 0*b**5 + 1/6*b**4 + 0*b**3 + 0*b**6 - 1/56*b**8. Find the third derivative of j(a) wrt a. -120*a**3 What is the first derivative of 0*d**2 - 1 + 0*d**2 + 9 - 12*d**4 wrt d? -48*d**3 Let n(m) be the third derivative of -m**6/20 + m**4/4 - 3*m**2. Find the second derivative of n(j) wrt j. -36*j Let b(x) be the second derivative of -7*x**5/2 + 7*x**4/6 + x**3/3 - 14*x. Find the third derivative of b(k) wrt k. -420 Suppose 0 = g - 2*g + 3. Find the third derivative of 0*i**2 - i**2 + i**2 - 2*i**2 - g*i**3 wrt i. -18 Suppose -3*k + k - 25 = -5*m, m = 2*k + 13. Let t be (-3 + 1)/(1 + (-10)/6). What is the first derivative of 6 - 1 - t + 2*b**4 - m wrt b? 8*b**3 Let o(n) be the second derivative of 0*n**3 + 0 + 0*n**5 + 1/2*n**2 + 0*n**4 + 1/5*n**6 + 7*n. What is the derivative of o(w) wrt w? 24*w**3 Suppose -15 + 6 = -3*l. What is the second derivative of 0*i**3 - i + i**3 - 3*i**l wrt i? -12*i What is the second derivative of -3*a**5 - 10*a - 2*a**5 + 8*a wrt a? -100*a**3 Differentiate -11*b**2 - 2 - 2 + 13*b**2 wrt b. 4*b Find the third derivative of -f**4 - 6*f**2 + 31*f**2 + 3*f**4 - 21*f**4 wrt f. -456*f Let s(y) = -y**3 - 3*y**2 + 2. Let b be s(-3). Suppose a - 12 = -4*m + 3*a, b*m + 2*a = -6. Differentiate -4*k**2 + 0 - 1 - m wrt k. -8*k Let t(m) = 4*m**3 + 17*m + 5. Let x(d) = 2*d**3 + 9*d + 3. Let g(o) = -3*t(o) + 5*x(o). Find the second derivative of g(b) wrt b. -12*b What is the second derivative of 12*q**3 - 8*q**3 + 12*q**3 + 38
{ "pile_set_name": "DM Mathematics" }
20. Suppose 5*g - p = -0*g. Suppose -2*v = -g*v + 46. What is the units digit of v? 3 Suppose 9*h = 7*h + 4. What is the units digit of (-14)/5*(-35)/h? 9 Suppose 112 = -17*d + 10*d. What is the tens digit of (-424)/d + 2/(-4)? 2 Let b(u) = -u. Let d be b(-6). Suppose -r + d*r - 355 = 0. What is the units digit of r? 1 Suppose -v - 16 = -2*d + 4*v, d = -v + 1. Let t(b) = 2*b**3 + 3*b - 3. What is the tens digit of t(d)? 6 Suppose 5*p - 18 - 2 = 0. Let t(j) = 31*j + j**2 + 4*j**2 - 30*j + 6 - p. What is the tens digit of t(2)? 2 Let y(x) = -x**3 - 12*x**2 - 13*x - 13. Let p be y(-11). Let s = p - -83. What is the tens digit of s? 9 Suppose 0 = 5*c - 145 - 35. Suppose 4*x + 105 = 453. Suppose -3*j + 5*v + x + 22 = 0, 2*v = j - c. What is the units digit of j? 8 Let f be (-1*(-2)/2)/(3/6). Suppose -k - 2*h = -155, -f*k - k + 449 = -2*h. What is the tens digit of k? 5 Let w = -251 - -311. What is the units digit of w? 0 What is the units digit of 3/54*6*(470 + 1)? 7 Let s(z) = 9*z**3 - 26*z**2 - 7*z - 27. Let u(y) = -4*y**3 + 13*y**2 + 3*y + 14. Let w(c) = 3*s(c) + 7*u(c). What is the tens digit of w(13)? 1 Suppose 4*z + 53 = -3*b, 6*z = z + 4*b - 43. Let r = 33 + z. What is the units digit of r? 2 Suppose -14 = -2*w + w. Suppose 3*l - q - w = 0, 0*l = 3*l + 3*q - 30. Suppose -l*j = -10*j + 64. What is the units digit of j? 6 Let y(f) = -f**3 + f**2 - f + 1. Let x be y(0). Let o be (-1 - x) + (6 - 1). Suppose o*z = -a + 42 - 6, -2*a = 5*z - 61. What is the units digit of z? 1 Let r(c) = -c**3 + 40*c**2 + 15*c - 188. What is the thousands digit of r(39)? 1 Let z(v) be the second derivative of v**4/4 - 7*v**3/6 - v**2/2 - 2*v. Let m(f) be the first derivative of z(f). What is the tens digit of m(3)? 1 Suppose 11 = -3*w + 17. Suppose -4*z + 0*y + 414 = -y, z = w*y + 100. What is the hundreds digit of z? 1 Suppose -4*h - 3*l + 4 + 14 = 0, 1 = 3*h - 4*l. What is the hundreds digit of (3 - h) + -4 + 172? 1 Let a(s) = -s**2 - 21*s + 3. Let d be a(-18). Let f = -28 + d. What is the units digit of f? 9 Suppose 0 = -3*h + 5304 - 1749. What is the units digit of h? 5 Let f(a) = a**3 - 31*a**2 + 32*a - 37. What is the hundreds digit of f(31)? 9 Let r be ((-15)/9)/((-1)/3). Suppose -57 = -r*u + 1183. What is the tens digit of u? 4 Let q = 31 + -29. Suppose -y - 26 = q. Let s = -5 - y. What is the units digit of s? 3 Suppose -411 - 164 = -5*w. Suppose -3*v + w = 2*k, -k - 55 = -v - 5*k. What is the units digit of v? 5 Suppose 3*z - 364 = -4*o + 914, -o = 2*z - 847. What is the tens digit of z? 2 What is the units digit of -3*(-210)/18 - -1? 6 Let h = 10 + -6. Suppose -3*s - 19 - 56 = -3*a, -h*a + 5*s = -102. Let i = -10 + a. What is the units digit of i? 3 Suppose -3 = -o - 1. Suppose -53 = -i + 2*n, o*i = 3*n - 0*n + 108. What is the tens digit of i? 5 Let j = 8424 - 4090. What is the tens digit of j? 3 Suppose -14*p + 11187 + 11913 = 0. What is the tens digit of p? 5 Suppose -u + 5*i + 12 = 2*i, -20 = 5*u + 5*i. Suppose u = 7*o - 3*o - 1016. What is the hundreds digit of o? 2 Let p be (8054/6)/1 - 34/102. Suppose -3*n = -14*n + p. What is the hundreds digit of n? 1 Let w(v) = -6*v + 6. Let g(u) = 3*u - 18. Let j be g(12). Suppose 3*s - 3 = -j. What is the units digit of w(s)? 6 Suppose 2*p = 5*p - 1269. Let l = 607 - p. Suppose -5*m + 1 = -l. What is the units digit of m? 7 Let z = -71 - -71. Suppose 4*p + 5*p - 72 = z. What is the units digit of p? 8 Suppose -60*j = -75*j + 59130. What is the thousands digit of j? 3 Let i(r) = -r**3 - 5*r**2 + 7*r + 13. Let x be i(-6). Suppose 220 = x*p - 634. What is the units digit of p? 2 Let g be -2 - (8/12*-3 - 66). What is the tens digit of g + 2 + (-7 - -1)? 6 Suppose 0 = -k - k - 2*z + 1344, 0 = -5*z - 5. Suppose 4*c = 5*g + k, c - 165 = -8*g + 6*g. What is the units digit of c? 7 Suppose -3*v - 18 + 24 = 0. Suppose -v*d = d - 30. Suppose -d*w + 6*w = -16. What is the units digit of w? 4 Let z = -24 + 36. Suppose 5*l = z + 48. Suppose 4*m + 8 = 0, -4*o + l + 76 = 2*m. What is the units digit of o? 3 Suppose -3 = -f + 6. Let m(s) = s**3 - 13*s**2 + 9*s - 8. Let p(x) = 2*x**3 - 25*x**2 + 19*x - 16. Let b(z) = -5*m(z) + 3*p(z). What is the tens digit of b(f)? 1 Let r = -35 + 49. Let c = r - 11. Suppose c*v - u - 12 = 13, 0 = v + 4*u - 17. What is the units digit of v? 9 What is the units digit of ((-1)/(-3))/(-11 - 64948/(-5904))? 2 Let q be (-375)/(-10)*6/(-9). What is the tens digit of ((-380)/q)/((-6)/(-15))? 3 Let z be 3/2*8/6. Suppose -3*u - 14 = -z*u. What is the tens digit of (-21)/u*(16 - 0)? 2 Suppose 8*r - 45380 = -8228. What is the hundreds digit of r? 6 Let s(d) be the first derivative of d**3/3 - d**2/2 + 26*d - 11. Let m be 4/(-14) + (-2)/(-7). What is the units digit of s(m)? 6 Suppose 0*g = 2*g + 10. Let m(b) = -b**3 - 2*b**2 + 8*b + 3. Let u be m(g). Let t = 54 - u. What is the units digit of t? 6 Let m = 82 - -129. What is the tens digit of m? 1 Let m = -1344 - -2411. What is the thousands digit of m? 1 Let g(u) = 2*u**3 - 11*u**2 - 19*u - 72. What is the thousands digit of g(12)? 1 Let s(k) = -2*k + 42. Let z be s(21). Suppose -3*y + 13 + 29 = z. What is the tens digit of y? 1 Let m(f) = -f**2 + 12*f - 3. Let u be m(11). Suppose 2*o - 5*a + 12 = -a, 5*a - 20 = 0. Suppose -o*j + 4 + u = 0. What is the units digit of j? 6 Let h(n) = n**2 - 14*n + 27. Let v be h(12). Suppose 0 = 3*q + v, 4*f + 0*f = 5*q + 29. What is the units digit of f? 6 What is the thousands digit of (3 - 6)/(-1) - (-991 + -11)? 1 Suppose -22*y - 10 = -24*y. Suppose -y*o = 4*j, -o + 3 = j + 4. Suppose 0*w - 28 = -o*w. What is the units digit of w? 7 Suppose 9*s - 7367 = -2111. What is the tens digit of s? 8 Suppose -26*r + 29*r - 3*j - 7095 = 0, 4*r + 4*j - 9428 = 0. What is the units digit of r? 1 Suppose 3*j + 11*p - 7*p - 769 = 0, 0 = 3*j - 4*p - 761. What is the units digit of j? 5 Suppose 1 + 0 = w. Let z = w - -4. Suppose -2*v - 57 = -z*v. What is the tens digit of v? 1 Let w = 56 - -111. Suppose w + 97 = 4*m. What is the units digit of m? 6 Let o(d) = -d**2 - 16*d + 19. Let i be o(-8). What is the units digit of -1*(8/(-4) - i)? 5 Let p(k) = -30*k**3 - k**2 + 4*k + 3. Suppose 2 = -4*i + 3*i. Let g be p(i). Suppose -2*l - 5*l + g = 0. What is the units digit of l? 3 Let g(t) = -t + 3. Let z be g(3). Suppose z*a + 220 = 5*a. What is the units digit of a? 4 Let q = 182 + -36. Let o = q + 7. What is the hundreds digit of o? 1 Let z = -113 - -75. Let s = 111 + z. What is the tens digit of s? 7 Suppose 8*s - 3*c - 30 = 6*s, -4*s - 2*c = -76. Suppose 5*g = 23 - 3. Suppose 0 = n - 3*v - s, 0 = 2*n + g*v + 30 - 86. What is the units digit of n? 4 Let w = -14 - -19. Suppose 0 = -w*d - 0*d + 240. Suppose -6*a + d = -84. What is the tens digit of a? 2 Suppose 2*r = -2*o + 6*o + 3290, -2*r + 3290 = -5*o. What is the thousands digit of r? 1 Suppose -36 = -3*j - 3*j. What is the units digit of j/(-8) - (-681)/12? 6 Suppose 19 = 3*q + 4. Suppose -5*m + 0*m = -q. Suppose -t + m + 2 = z, 0 = 5*t - 5*z - 15. What is the units digit of t? 3 Let m(g) be the first derivative of g**3/3 - 3*g**2 + 7*g + 3. Let a be m(5). What is the units digit of (1 - -1)/a*18? 8 Suppose 21*l - 12369 = -0*l. What is the hundreds digit of l? 5 Suppose 7*w + y + 10468 = 10*w, 2*y - 17432 = -5*w. What is the units digit of w? 8 Let w = 242 + 3. Suppose 2*q = w - 23. What is the units digit of q? 1 Suppose 66*o - 165793 = -50821. What is the tens digit of o? 4 Let z = 23 - 20. Suppose 0*g = 3*g + z. What is the units digit of (g + 0)/(2/(-40))? 0 Let s = 8 + -8. Suppose c - 6 + 3 = s. Suppose -p + 160 = 3*p + c*y, -200 = -5*p - y. What is the units digit of p? 0 Suppose 21*u - 1825 = 4538. What is the units digit of u? 3 Suppose -3*p = 2 + 13, -4*i + 478 = -2*p. Suppose -366 = -i*d + 115*d. What is the hundreds digit of d? 1 Let k(q) = q. Suppose 3 = 5*p - 2. Let j(u) = 7*u + 1. Let a(y) = p*j(y) - 3*k(y). What is the tens digit of a(6)? 2 Let w(f) = -f**2 + 13*f - 3. Let y(b) = -4*b - 3. Let m be y(-3). What is the units digit of w(m)? 3 Suppose -3*j - 48 = 99. Let r = -212 - -300. Let g = r + j. What is the tens digit of g? 3 Suppose 5*j - 1422 = 1118. What is the hundreds digit of j? 5 Let j be (-1)/(0 + (-1)/5). Suppose j*w = 2*w + 15. What is the units digit
{ "pile_set_name": "DM Mathematics" }
(f) = 6*k(f) + 13*u(f). Find the third derivative of d(p) wrt p. 138 Let f(h) be the third derivative of -h**5/60 + 3*h**4/8 - h**2. What is the second derivative of f(z) wrt z? -2 Suppose 3*t = 6*t. Let l = 19 - 16. Find the third derivative of -2*i**3 + i**2 + t*i**3 + 4*i**l - 4*i**3 wrt i. -12 Let q(h) be the first derivative of 2 + 0*h + 1/4*h**4 + 0*h**3 + 1/2*h**2. What is the second derivative of q(n) wrt n? 6*n Let q(x) be the third derivative of x**7/105 + x**6/72 + x**3/2 - 10*x**2. Let i(s) be the first derivative of q(s). Find the third derivative of i(b) wrt b. 48 Let m(n) = 2*n**3 - 7*n**2 - 3*n + 3. Let c(q) = -3*q**3 + 13*q**2 + 5*q - 5. Let f(g) = -3*c(g) - 5*m(g). What is the third derivative of f(v) wrt v? -6 Differentiate 35*n**3 - 1203*n**2 - 39 + 1203*n**2 wrt n. 105*n**2 Let c be -7*3/6 + 4. Let z(d) be the first derivative of 1/3*d**3 + c*d**4 + 0*d + 0*d**2 - 3. What is the third derivative of z(y) wrt y? 12 Suppose -3*w + 5 + 7 = 0. Suppose w*p = 2*p + 6. Find the third derivative of 3*v**2 + v**3 + 4*v**p - 5*v**3 - 3*v**3 wrt v. -18 Suppose 0 = 5*n - 4*p - 20, -4*n = 5*p + 5 - 21. What is the second derivative of -x - 2*x - 3*x**4 + 0*x**n wrt x? -36*x**2 Let w(y) = 14*y**4 - 3*y**3 + 31*y**2 - 3. Let c(o) = 15*o**4 - 2*o**3 + 30*o**2 - 2. Let m(k) = -3*c(k) + 2*w(k). What is the third derivative of m(n) wrt n? -408*n Find the third derivative of -19*z**2 - z**5 + 305*z**3 - 305*z**3 wrt z. -60*z**2 Let k(g) = -g**2 + 5*g + 5. Let v be k(5). Find the third derivative of -2*m**2 + 4*m**2 - 2*m**2 + 4*m**v + 4*m**2 wrt m. 240*m**2 Let u(z) be the first derivative of z**5/60 + z**3/3 - z**2/2 - 2. Let k(t) be the second derivative of u(t). Find the first derivative of k(n) wrt n. 2*n What is the second derivative of -39*d - 2*d**5 - 2*d**5 - 3*d**5 + 12*d wrt d? -140*d**3 Suppose g + c - 12 = -c, c - 20 = -4*g. Let b = 19 - 9. Find the second derivative of b - v**g - 3*v - 10 wrt v. -12*v**2 Suppose -15 = k + 4*x + 1, 5*k - 5*x - 20 = 0. Find the first derivative of -4 + 4*q**3 - 2*q**3 + k wrt q. 6*q**2 Let t(a) be the third derivative of -a**6/12 - 2*a**5/15 + 11*a**2. What is the third derivative of t(y) wrt y? -60 Suppose -5*a + a = -12. What is the first derivative of 3*i - 2*i + 2*i - 6*i - a wrt i? -3 Let n(j) be the second derivative of -j**8/1680 - j**7/504 - 2*j**4/3 - 8*j. Let b(w) be the third derivative of n(w). Find the third derivative of b(t) wrt t. -24 Suppose -5 + 3 = -i. Find the first derivative of 1 - 8 + i - 6*w - 1 wrt w. -6 Differentiate -1 + 3*i**2 + 8*i**2 - 20*i**2 + 3*i**2 with respect to i. -12*i Find the first derivative of 3*a - 7 + 2*a + 6 wrt a. 5 Differentiate 5 - 9*z + 8*z + 0 with respect to z. -1 What is the second derivative of 5*m - m + 4*m**5 - 3*m**5 wrt m? 20*m**3 Let u(z) be the third derivative of 11/60*z**5 + 0 + 0*z + 4/3*z**3 + 0*z**4 - 7*z**2. Differentiate u(h) with respect to h. 22*h What is the derivative of -1 + 3*b - b - 5*b + 0*b wrt b? -3 Let i(b) be the first derivative of -b**6/15 + 7*b**4/12 + 4*b - 10. Let k(s) be the first derivative of i(s). What is the third derivative of k(a) wrt a? -48*a Suppose -3*w + 7*w = 8. What is the second derivative of -2*x**4 + x**2 - 2*x - w*x**4 - x**2 wrt x? -48*x**2 Find the third derivative of -7*h**5 + 7*h**2 - 15*h**5 + 15*h**2 wrt h. -1320*h**2 Let x be -62*(-3)/6 + -2. Differentiate 29*p**2 + 2 - x*p**2 + 2*p**4 wrt p. 8*p**3 Let q(t) be the third derivative of -t**6/40 - t**5/15 - 8*t**2. What is the third derivative of q(x) wrt x? -18 Suppose -5*l - 3*d = -14 - 8, -4 = -d. Suppose -3*x + l = -x. What is the derivative of 2 - 2*v**3 + x + v**3 wrt v? -3*v**2 Find the second derivative of 5*q**4 - q + 2*q**4 + 17*q wrt q. 84*q**2 Find the second derivative of -23*m**4 - 32*m + 9*m**5 + 46*m**4 - 24*m**4 wrt m. 180*m**3 - 12*m**2 Let h(c) be the first derivative of 0*c**3 + 0*c**4 + 0*c**2 - 1/5*c**5 + 8*c - 2. Differentiate h(t) with respect to t. -4*t**3 Let u = -31 - -31. Let g(l) be the first derivative of -l - 2/5*l**5 + 1 + 0*l**3 + 0*l**2 + u*l**4. Find the first derivative of g(r) wrt r. -8*r**3 Let w(h) = -h + 10. Let d be w(7). Find the first derivative of 0 + 4 - 2*y**2 - d wrt y. -4*y Let a(f) = -f**3 - 12*f**2 + 12*f - 10. Let u be a(-13). Find the first derivative of 4*o**2 + 8 - 2*o**2 + u*o**2 + 3*o**2 wrt o. 16*o Let h(x) be the first derivative of x**3/3 + 7*x**2/2 + 9*x - 2. Let g be h(-6). Find the third derivative of -c**2 + 3*c**2 - 6*c**g + 5*c**3 wrt c. -6 Find the second derivative of 10*m - 13*m**3 + 8*m - 3*m + 11*m**3 wrt m. -12*m What is the third derivative of -8*j**2 - 7*j**2 + 10*j**2 - 3*j**2 - 3*j**3 wrt j? -18 Find the first derivative of -4 + 4 + 7 - u wrt u. -1 Let t(s) = -11*s**3 + 2*s**2 + 5*s - 2. Let x(y) = -11*y**3 + 3*y**2 + 3*y - 3. Let g(b) = 3*t(b) - 2*x(b). Find the second derivative of g(l) wrt l. -66*l Let n(a) be the second derivative of a**9/7560 + a**7/1260 + a**4/6 - a. Let s(v) be the third derivative of n(v). What is the third derivative of s(k) wrt k? 48*k Let k(t) be the first derivative of 0*t**5 - 2/3*t**3 + 1/3*t**6 - 2 + 0*t**2 + 0*t + 0*t**4. What is the third derivative of k(m) wrt m? 120*m**2 Let c(s) = -49*s**3 + 3*s**2 - 2. Let v(g) = -244*g**3 + 16*g**2 - g - 11. Let x(p) = -11*c(p) + 2*v(p). Find the third derivative of x(t) wrt t. 306 Let s(z) be the first derivative of 27*z**7/7 - 7*z**3 + 17. Find the third derivative of s(n) wrt n. 3240*n**3 Let z be ((-28)/6)/(6/(-18)). Suppose -5*g = -6 - z. What is the third derivative of -2*f**5 + 4*f**3 - f**2 - g*f**3 wrt f? -120*f**2 What is the third derivative of -11*d**2 + 350*d**4 + 4*d**3 - 4*d**3 - 361*d**4 wrt d? -264*d Let k(i) be the second derivative of -11*i**8/28 + 7*i**4/4 + 19*i. Find the third derivative of k(t) wrt t. -2640*t**3 Let n be (-2)/3 + 16/6. Suppose m - n*l = 6*m, 22 = m - 4*l. Find the first derivative of -m + z**3 - 4 + 4 wrt z. 3*z**2 Let b(s) be the third derivative of 0 + 3*s**2 + 1/60*s**6 - 1/30*s**5 + 0*s**3 + 0*s**4 + 0*s. What is the third derivative of b(t) wrt t? 12 What is the second derivative of -4*t**4 - 28*t - 1 + 1 + 10*t wrt t? -48*t**2 Let b(c) = -39*c**2 + 8*c - 32. Let q(k) = 79*k**2 - 14*k + 65. Let f(j) = -7*b(j) - 4*q(j). What is the derivative of f(n) wrt n? -86*n Let w = -5 - -7. What is the second derivative of 3*u**5 - 2*u**4 - 2*u + w*u**4 wrt u? 60*u**3 Let k(b) be the third derivative of 0*b + 0*b**4 - 5/336*b**8 + 0*b**7 + 0*b**3 - 4*b**2 + 0 + 0*b**6 + 1/20*b**5. Find the third derivative of k(c) wrt c. -300*c**2 Let b be (9/(-6))/(1/(-2)). What is the third derivative of 4*k**4 + k**4 + 6*k**2 - 2*k**2 - b*k**4 wrt k? 48*k Let d(c) be the first derivative of 25*c**3/3 - 15*c**2/2 + 12. Find the second derivative of d(t) wrt t. 50 Let x(m) = -7*m - 1. Let n be x(-1). Let i be -1*n/(-3) + 2. What is the second derivative of -7*t**5 - t**5 - 2*t + i*t**5 wrt t? -80*t**3 Let p(a) = a**3 - 4*a**2 - 23. Let c(f) = -f**3 + 5*f**2 + 24. Let k(m) = 4*c(m) + 5*p(m). What is the derivative of k(h) wrt h? 3*h**2 Find the first derivative of -7 + 17 + 14*l**3 + 4 wrt l. 42*l**2 Let m(g) be the third derivative of -g**4/6 + 13*g**3/3 + 35*g**2. Find the first derivative of m(u) wrt u. -4 Suppose 2*g - 260 = -2*g. What is the second derivative of 4*l**5 - g - l + 65 wrt l? 80*l**3 Let h(m) be the third derivative of -m**6/8 - 11*m**3/3 - 26*m**2. What is the derivative of h(a) wrt a? -45*a**2 Suppose 0 = -7*n + 3*n + 16. Find the first derivative of 3 + x**2 - 2 - n - 4*x**2 wrt x. -6*x Let u(x) = 3*x**2 - 9. Let k(h) = -h**2 + 3. Let z(a) = -7*k(a) - 2*u(a). Differentiate z(f) with respect to f. 2*f Suppose -2*g = f - 0*f - 5, 3*g + 2*f = 8. Suppose -8 + g = -t. Find the third derivative of m**2 + 0*m**t + m**2 - m**6 wrt m. -120*m**3 Find the first derivative of -4*g**3 + 0*g**3 - 4*g**3 - 2 + 2*g**3 wrt g. -18*g**2 Let f(v) = 2*v + 0 + 8 - 3*v**3 - 7. Let k be f(-1). Find the third derivative of r**3 - 3*r**2 - 3*r**2 + 5*r**k wrt r. 6 Let c = -12 + 20. Let j = c - 6. Find the third derivative of r**4 - r**6 - r**4 + 0*r**2 - j*r**2 wrt r. -120*r**3 Let f(o) be the second derivative of -o**4/12 + 9*o**2/2 - 10*o. What is the derivative of f(j) wrt j? -2*j L
{ "pile_set_name": "DM Mathematics" }
/7 c Let l = 4.56 + -3.4. Let o = -24.04 - l. Let j = o + 25. What is the second biggest value in -2/3, -5, j? -2/3 Let j = 74/177 + -5/59. Let o be 410/492*(24/(-15))/2. What is the biggest value in o, 155, j? 155 Let z = 83.11 - 82. Let m = 0.11 - z. Let g be -16*(-12)/2592 - 57/(-324). What is the second biggest value in -8, g, m, 3? g Let o = 40.01 + -35.01. What is the fourth biggest value in 2/9, -0.19, -3, 1, o? -0.19 Suppose 35*d + 4826 = 4721. What is the smallest value in -5, d, 28? -5 Let z(b) = -2*b**2 - 55*b - 362. Let t be z(-11). Suppose 0 = -35*j + 31*j + 320. What is the third smallest value in 1/4, j, t? j Let w = 0.648 - 0.32. What is the second biggest value in w, -1/2, 3? w Let r = 55.19 + -65.29. Which is the second smallest value? (a) 0.4 (b) 5 (c) r (d) -2 d Suppose -2*r + 5*c - 183 = r, -5*r - 336 = 2*c. Let g be 1/(-3) - (-2 - 122/r). Let u = 3.77 + -2.77. What is the third smallest value in -40, u, g? u Let g be (-18)/8 - (-2)/8. Let r be -2 + ((-15)/25 - -2). Let y be (2/1)/2 + -24 + 20. Which is the biggest value? (a) g (b) y (c) -1 (d) r d Let m = 27.967 - 24.967. Which is the second biggest value? (a) -24/25 (b) 0.4 (c) -2/15 (d) m (e) 0.3 b Let s = 0.4396 - 0.0396. Let g = -160.7 - -161. What is the third biggest value in -1, g, s? -1 Let c = -0.33346 + -0.16654. What is the second smallest value in 0.5, c, -2/5, -53? c Let h be (0 - -3)*3 - (-605)/(-66). Which is the biggest value? (a) -2/21 (b) 2 (c) -21 (d) -2/5 (e) h b Let q = 34.27 - 35.27. What is the third smallest value in 5, q, -123? 5 Let d = -68 - -47. Let m = d + 20.86. Let x = m - -0.94. What is the second biggest value in -3, -2/7, x? -2/7 Suppose 77*r + 179178 = 179486. Let t = 0.1 + 0.9. Which is the smallest value? (a) r (b) 3/7 (c) t b Let s = 35 + -32. Let q = -80.946 - -81. Let l = q - -0.046. What is the third smallest value in l, -3/5, s, 0.4? 0.4 Let m = 0 - -7. Let r = m + -3. Let s be (-3026)/(-7565) + (-7)/(420/16). What is the second biggest value in r, s, -0.1? s Let t be (27 - 33) + (-30)/(-4). Which is the biggest value? (a) 0.4 (b) -4/3 (c) t (d) 0.06 c Let v = 12 + -8. Let y = 915.173 + -915.573. What is the second biggest value in v, y, 18? v Let h(l) = -37*l - 615. Let s be h(-17). Which is the third biggest value? (a) 4 (b) s (c) 0.01 (d) 1/3 d Let k = -0.333 - -0.633. What is the biggest value in 6, 2, 2/11, k, 0.5? 6 Let q = 4968.2 + -4968. Which is the fifth smallest value? (a) q (b) -0.4 (c) 0.3 (d) -1/9 (e) -0.37 c Let u = -1.71 - 66.29. Let w = u - -34. Let t = w + 36. Which is the third smallest value? (a) t (b) -1/5 (c) 4 c Let r = 7805 - 7818. What is the biggest value in r, 2, 0, 0.1, 3? 3 Suppose 66*u + 8 = 70*u. Let o be (45/20 - u) + 21/(-4). Let y = 10 - 4. What is the second smallest value in y, o, 0.1? 0.1 Let y = 64/11 - 554/99. What is the smallest value in -3, y, -66, 0.02? -66 Let j = 131 - 34. Suppose 12700*o - 6351*o - 6369*o + 40 = 0. Which is the third smallest value? (a) o (b) 0 (c) j c Let z = 2.858 - -2.142. Which is the biggest value? (a) z (b) -0.5 (c) -3/5 a Let x = -3772/4753795 - -145990576389/1578259940. Let z = x + -1/5644. Let r = z + -93. What is the fourth biggest value in -2/3, -0.1, r, 2? -2/3 Let l = -2176 - -2175.97. What is the second biggest value in l, 5, -2, 0? 0 Let f = -21905 - -21904.49. Which is the fourth smallest value? (a) 2/11 (b) f (c) -1 (d) 4 d Let f = 868 + 142. What is the smallest value in f, 3, 1/4? 1/4 Let n = -312.4 - -312.6. What is the fourth biggest value in 4, n, -0.1, 52.3? -0.1 Let a = 301/6 + -101/2. Suppose 2*z + 8 = -0*z. What is the second biggest value in -2, z, 2/3, a? a Let m be 19/(2888/57)*8/6. Which is the smallest value? (a) 1 (b) 0.03 (c) m b Let p = -11422 - -11422.2. What is the biggest value in p, -2894, 3/5? 3/5 Let j = -45 - 24. Let q = -38 - j. Let n = -31.2 + q. Which is the biggest value? (a) n (b) -3 (c) 8 c Suppose -3*v = 2*b + 23, 3*b = 5*v + 6 + 7. What is the second smallest value in 1/5, -69, b, -1/4? b Let t = -11339 - -11339.1. Which is the third smallest value? (a) 4 (b) -839 (c) t (d) 0.5 d Let r = 3651 + -3651.073. What is the biggest value in r, -0.4, -0.5, -4? r Let g be 91 + -74 - (-60)/(-5). What is the second smallest value in 0.2, 4, g, -377? 0.2 Let k(y) = y**3 + y**2 - y + 4. Suppose 1 - 1 = 4*r. Let w be k(r). Suppose -w*m + m = -12. What is the second smallest value in 1/3, -2, m? 1/3 Let x = 2/79 + 75/158. Let b = -238 - -165. Let i = -73.2 - b. What is the smallest value in x, i, -3? -3 Let y = 0.2199 + 0.0801. Let x(u) = -u**2 + 13*u - 14. Let h be x(13). Let g = h + 17. What is the third biggest value in 0, g, 0.1, y? 0.1 Let g = 39.221 + -39.621. Let r = 14 - 13. Which is the smallest value? (a) r (b) -0.05 (c) 4 (d) g d Let n be (-29 - -28)*(-4)/42. Which is the smallest value? (a) n (b) 0 (c) -1.4 c Let v = 297.94 - 304. Let y = -6 - v. Suppose 0 = -5*x + 22 - 12, -q = 4*x - 3. Which is the smallest value? (a) 0.5 (b) 4/5 (c) y (d) q d Let t = -34557.3 + 34557. Which is the fourth smallest value? (a) -0.1 (b) -350 (c) t (d) -2 a Let f = -77 - -57. Let l be (2 - f/(-16))/((-9)/(-12)). Let k = 2060/231 - 62/7. What is the third biggest value in l, k, 0.5? k Let q = -6947.4 - -6943.4. Let p = -0.4 + 0.2. What is the second smallest value in p, q, 3, 11? p Let n(l) = l**3 - 28*l**2 + 134*l - 12. Let x be n(6). Which is the smallest value? (a) -1/2 (b) x (c) 1/1139 (d) -0.4 a Let i = 48 - 26. Let m = 0.43403 - 0.13403. Which is the third smallest value? (a) 2/3 (b) m (c) i (d) -1/10 a Let v = -1.2 - 3.1. Let y = v - -4.6. Which is the biggest value? (a) -0.5 (b) y (c) -2 (d) 4 d Let z = -305 + 277. Let g = 27.8 + z. Which is the third biggest value? (a) 7/3 (b) 0.02 (c) g c Suppose -20 = -5*f, 0*i + 17 = i + 4*f. Let o be 1*9 - (-134 - -148). Which is the fourth smallest value? (a) -2 (b) i (c) o (d) 18 d Let u = -4543 + 4642. Which is the third biggest value? (a) 1/4 (b) u (c) 8/9 a Let o = -0.06 + 4.06. Let s = -9295 - -9300. Which is the second smallest value? (a) -12 (b) o (c) s b Let o = 8126 - 8124. What is the fourth smallest value in -4/3, -0.4, -95, o, -1? -0.4 Let u = -318 + 3177/10. Let m(n) = -n + 0 + 12*n**3 + 3 - 11*n**3 + 0 - 3*n**2. Let g be m(3). What is the third smallest value in -1, g, u? g Let c = 22 + -30. Let j = 7.9 + c. Let y = -671/3 + 2675/12. What is the third smallest value in -3/2, -2/9, y, j? -2/9 Let t = 0.04 - -4.96. Let x = -295.29 + -5.71. Let u = x - -304. Which is the third biggest value? (a) u (b) t (c) 9 a Let y = -179573 - -41122294/229. Let u = y + -2/687. Which is the fourth smallest value? (a) 5 (b) u (c) 4 (d) 0.04 a Let h(z) = -z**3 - 37*z**2 - 208*z + 63. Let s be h(-30). Let d = 0.84 + 0.16. Let r = 4 + d. What is the second smallest value in r, 0, s? s Let q = -6.9 + 6.8. Suppose -2*r = -3*n + 98, -4*r + 25 = r. Suppose v - 13*v = n. Which is the third biggest value? (a) v (b) 0.46 (c) q a Let s = 11590.7 - 11591. What is the third biggest value in 156.7, s, 4? s Let l = 232 + -231.69. Let h be ((-68)/(-20) + -3)/(12/(-45)). Which is the third biggest value? (a) l (b) h (c) 0.1 b Suppose 251 = -5*b + 331. Let n be 1 - (-76)/b - (2 - -3). What is the third smallest value in n, 0, -2/43? n Let m = -275 + 270. Suppose 0*w = -4*w - 12. Let d = 8 + -6. Which is the second smallest value? (a) w (b) d (c) m a Suppose 3*l - 64 - 36 = -7*l. What is the second smallest value in l, 0.04, 0.3, 0.5, -0.5? 0.04 Let b = -0.0164 + -278.9836. Let o = -277 - b. What is the fourth biggest value in 2/7, o, 1/3, -2/21? -2/21 Let b be (-2)/(((-531)/18)/(-59)). Let f = 115/27 + -13/3. What is the biggest value in b, f, -7? f Let g = 23.63 + -23.53. Which is the fifth biggest value? (a) g (b) 0 (c) 0.84 (d) -0.2 (e) -2.6 e Suppose -315 = -h - r + 464, 4*h - r = 3101. Let t be h/(-48)*(-18)/2. Let f = 142 - t. Which is the second smallest value? (a) -0.4 (b) f (c) -1 c Let o = -4059 - -4058.989. What is the second smallest value in o, 1/3, 2? 1/3 Let z be -2*628/88 + (11 - 14). Let y = 3588/209 + z. Let x = -103/39 + 30/13. Which is the second biggest value? (a) y (b) -0
{ "pile_set_name": "DM Mathematics" }
ded to the nearest one hundred? 200 Let j(p) = 7760*p**3. Let n = -9 - -4. Let f be j(n). Round f to the nearest one hundred thousand. -1000000 Suppose 2*q = -2*q. Suppose 3*u + 4*o - 59 - 33 = q, -3*u = -3*o - 99. Suppose 2*d = 72 + u. What is d rounded to the nearest 10? 50 Let m(c) = -112501*c + 3 - 6 - 4 - 1. Let j be m(-8). What is j rounded to the nearest one million? 1000000 Let k = -25 + 15. Let n = k - -10.07. What is n rounded to one decimal place? 0.1 Suppose -2 = -4*v - 2*g, 4*v = -5*g + 19 - 2. Let t(p) = 114999*p**3 - 3*p**2 - p + 2. Let y be t(v). Round y to the nearest one hundred thousand. -900000 Let f = 6.049616757 + -73.049616467. Let w = -0.081 + -66.919. Let g = f - w. Round g to seven decimal places. 0.0000003 Let f = 0.097600433 - 0.0976. Round f to seven dps. 0.0000004 Let l = -39.3 + -3.7. Let y = l - -42.38. What is y rounded to 1 decimal place? -0.6 Let v be 6/((-10)/14 + 1). Let s be 175*v/6*8. Round s to the nearest 1000. 5000 Suppose -5*n = -2*n + 417000. What is n rounded to the nearest 10000? -140000 Let h = 0.1 - -27.9. Let u = -16 + h. Let y = 15.3 - u. Round y to 0 decimal places. 3 Suppose 275246 - 695246 = 3*k. What is k rounded to the nearest one hundred thousand? -100000 Let z(j) = -j**2 - 6*j - 3. Let m be z(-4). Suppose 4*x - 10 = 3*y, 4*y + 0 = -3*x - m. Let k be 6001 - (2 - x/1). Round k to the nearest one thousand. 6000 Suppose -4*i - 2700004 = 3*y, 2*y - 4*y + 4*i = 1799996. What is y rounded to the nearest 100000? -900000 Let f = -0.7 + 0.2. Let m = f - 15. Let c = m - -15.50063. Round c to 4 decimal places. 0.0006 Let x = 1.22168 + -1.22. What is x rounded to four dps? 0.0017 Suppose 5*p + 364 - 4 = 0. Let o = 6 + p. What is o rounded to the nearest ten? -70 Let y = 63 - 132. Let t = -7929 - -7859.63. Let f = t - y. Round f to one decimal place. -0.4 Let g = 21.55 + -22. Let s = 0.3 + g. Let q = -2.65 + s. Round q to zero decimal places. -3 Let r = 75.124 - 75. Let k = r - 0.123921. Round k to 5 dps. 0.00008 Let o = -0.4 - -2.8. Let q = o - 2.399939. What is q rounded to five dps? 0.00006 Let z = 0.5 + -0.94. Let l = z - 0.54. Round l to one decimal place. -1 Suppose -13*d - 13873 = -4253. What is d rounded to the nearest 100? -700 Let b = 0.007 + 45.393. Let y = 0.25 + 39.75. Let x = y - b. What is x rounded to the nearest integer? -5 Let o = 44456 + -44784.39. Let i = o + 330. Round i to one dp. 1.6 Let s = -71.49 - -72. Let n = s + -0.537. Round n to 2 decimal places. -0.03 Let o = -1186467324.8 + 1186467329.7539667864. Let w = -252.9539657164 + o. Let n = w + 248. Round n to 7 decimal places. 0.0000011 Let v = -25.0108 - -25. What is v rounded to three dps? -0.011 Let a = -0.446 + 0.853. Let j = 0.44 - a. Round j to two decimal places. 0.03 Let x = 4.47 + 9.544. Let q = x + -14. What is q rounded to two decimal places? 0.01 Let z(a) be the third derivative of 851/24*a**4 - 2*a**2 + 1/3*a**3 + 0 + 0*a. Let o be z(-2). Round o to the nearest 1000. -2000 Suppose -4*c = 4, 3*c - 10603 - 1994 = -t. What is t rounded to the nearest 10000? 10000 Let o = -0.5 - -0.9. Let h = o - 0.40004. Round h to five dps. -0.00004 Suppose -3*f + 297 = -381. Suppose -d = -0*d - f. Suppose -5*j - d = -76. What is j rounded to the nearest 100? 0 Let j = -7.1947 - 0.0953. Let f = -58.59 + 58. Let i = f - j. Round i to 0 dps. 7 Let c = -33 - -33.00039. What is c rounded to four decimal places? 0.0004 Let a = -220 + 220.103. Let k = a + -0.1029796. What is k rounded to 6 dps? 0.00002 Let y = -2927.06052 - -2927. Let i = -0.06 - y. Round i to 4 decimal places. 0.0005 Suppose 2*y - 3 = 1. Suppose 0 = -7*w + y*w - 10500000. Round w to the nearest one million. -2000000 Let y(f) = -612501*f**2 + 5*f - 4. Suppose 0 = -2*x + 11 - 3. Let p be y(x). Round p to the nearest 1000000. -10000000 Let l = -918516 - 1195458. Let t = l - -2113974.16999993. Let j = t + -0.17. What is j rounded to 7 dps? -0.0000001 Let k = -74369 - -110369. Suppose 4*l - 2*l = k. What is l rounded to the nearest 10000? 20000 Let z be 6/39 + 56/(-26). Let c(q) = -1331*q**3 - q**2 - q. Let a be c(z). Suppose 0 = -4*l - a - 2954. What is l rounded to the nearest one thousand? -3000 Let x = -0.043 - -0.0451. Round x to three decimal places. 0.002 Let z = -13 - -13.0064. What is z rounded to three dps? 0.006 Let b = -25.16 - -26. Round b to the nearest integer. 1 Let w = -6.84 + -0.16. Let q = -6.9999995 - w. What is q rounded to seven decimal places? 0.0000005 Let b = 114932903.6000138 + -114932894. Let p = 0 - -9.6. Let h = p - b. What is h rounded to 6 decimal places? -0.000014 Let b = -3340500.96965 - -3340699. Let o = -198 + b. Let k = -0.03 + o. Round k to 4 decimal places. 0.0004 Let a = 34 - 60. Let c = 25.853 + a. Round c to two dps. -0.15 Let d = -19 + 22. Suppose a - 3*h = -d*a - 3265, -4*h - 20 = 0. What is a rounded to the nearest one hundred? -800 Let x = -0.326 + 3.906. What is x rounded to the nearest integer? 4 Let i = -10.25 + 5.26. Let o = -0.01 + i. Let p = o + 5.00064. What is p rounded to 4 dps? 0.0006 Let q = -0.03799725 + 0.038. Round q to 7 decimal places. 0.0000028 Let u = -26 - -29.2. Let k = 4 - u. Let d = 2.8 + k. Round d to the nearest integer. 4 Let o = -42837 - -22929. Let r = -19908.0200025 - o. Let i = 0.02 + r. Round i to 6 dps. -0.000003 Let l = -12929 + 28914. Let n be (1 - 0)*(7 + -2). Suppose -4*a - n*x = -2*x - l, -2*a + x + 8005 = 0. What is a rounded to the nearest 10000? 0 Let b = 5 + -2. Suppose -3 = -b*d + 2*d. Let l be 1/1*d + -160003. Round l to the nearest 100000. -200000 Let k = -1296 - -3246. Let b be (k/(-2))/((-3)/3600). Round b to the nearest 100000. 1200000 Let j = 109 + -108.886. Let v = 1.116 + j. What is v rounded to one dp? 1.2 Let s(y) = -352*y - 20. Let j be s(-5). What is j rounded to the nearest 1000? 2000 Let x(f) = 156666*f**2 - f + 3. Let v be x(-3). Round v to the nearest one hundred thousand. 1400000 Let t = -4 - -10. Let p(d) = -d**3 + 5*d**2 + 6*d. Let n be p(t). Suppose n = -u - 24 - 46. What is u rounded to the nearest ten? -70 Suppose -5*m + j - 43195 - 65011 = 0, -2*j = 5*m + 108203. Let z = 15458 + m. Let y = 9983 + z. What is y rounded to the nearest one thousand? 4000 Let t = -0.01 + -0.19. Let x = 243.0987 + -242.9. Let w = x + t. What is w rounded to 3 dps? -0.001 Let h be 16/(3 - -1) + -1 + -380003. What is h rounded to the nearest 100000? -400000 Let t = -27 + -87. Round t to the nearest 100. -100 Let x = -2237921156 - -2237981642.80076. Let f = 60484 - x. Let t = -2.8 - f. What is t rounded to 4 dps? 0.0008 Suppose 0 = 4*l + 16, 14 = 5*m - 3*l - 18. Let j be (-3490)/(-35) + m/14. Round j to the nearest one hundred. 100 Let q = 1.1228887 + -3007942.6228887. Let r = q - -3007949.50000015. Let i = 8 - r. Round i to seven dps. -0.0000002 Let p = -0.67 - -1.2. Round p to 1 dp. 0.5 Suppose -u - 1 = -t + 2, t + u = 11. Let l = 10 - t. Suppose 0 = -l*d + 5*j + 198, d - 2*j - 2*j - 73 = 0. What is d rounded to the nearest ten? 60 Suppose -25486 = 3*r + 11714. Round r to the nearest 1000. -12000 Let i = 23368594 - 23368568.875003. Let v = i - 0.120797. Let a = v - 25. Round a to 3 dps. 0.004 Let w = -389 + 389.0000211. What is w rounded to 6 dps? 0.000021 Let c = -9040 + 4283. Let x = 15243 - c. What is x rounded to the nearest 100000? 0 Let g = 9 + 23. Let x = g + -31.9999918. What is x rounded to six decimal places? 0.000008 Let n = -27.9908 + 28. What is n rounded to three decimal places? 0.009 Let x = -21.0001 - -21. What is x rounded to 5 decimal places? -0.0001 Suppose -3*t = -8*t - 15750000. Round t to the nearest one hundred thousand. -3200000 Let z(w) = 2*w - 2. Let u be z(2). Suppose -2*t - 17 = i, 0*i - u*t + 68 = -4*i. Round i to the nearest 10. -20 Let l = 1.30001 - 1.3. What is l rounded to five dps? 0.00001 Suppose 3939429 = 2*r - 1880571. Suppose b + r = -2*b. Round b to the nearest one hundred thousand. -1000000 Let g = -3 - -5. Suppose -g*o - 5*l = -16, o + 4 + 3 = 5*l. Suppose 5*n - 4*z + 688 = 0, 2*n + o*n - 5*z = -685. What is n rounded to the nearest one hundred? -100 Let q = -1.4199943 - -1.42. Round q to six decimal places. 0.000006 Let z(r) = 307*r**2 + 6*r - 4. Let b be z(-7). Let n = b + -8233. Suppose 41764 = 5*p + n. What is p rounded to the nearest 1000? 70
{ "pile_set_name": "DM Mathematics" }
s**2 Let i(p) = 248792*p. Let j(c) = -3*c**2. What is i(j(h))? -746376*h**2 Let n(d) = 2452*d. Let a(v) = 357*v. Give a(n(q)). 875364*q Let l(s) = -s. Let z be -3 + (-3 - -3) - (3 - 4). Let f(v) = -2*v**2 - 3*v. Let t(j) = -j**2 - 2*j. Let q(w) = z*f(w) + 3*t(w). Give l(q(n)). -n**2 Let o = -805 - -1555. Let p(f) = -o + 750 + f. Let r(a) = -31*a**2. Calculate r(p(l)). -31*l**2 Let a(q) = -24*q. Suppose -4*c - 7 = -5*p, -3*p + 3*c = -4*p - 10. Let v(n) = n. Let z(r) = r. Let u(y) = p*z(y) + 4*v(y). Determine u(a(b)). -72*b Let p(a) = 131*a + 1. Let b(z) = 657*z - 1. Determine b(p(t)). 86067*t + 656 Let h(x) = -6*x**2. Let g(s) = -7*s**2 + 17*s + 2. Calculate g(h(t)). -252*t**4 - 102*t**2 + 2 Let u(x) = x. Let p(w) be the second derivative of 0 - 7*w + 0*w**2 + 2/3*w**3. Determine p(u(q)). 4*q Let x(l) = 5*l. Let k(o) = -35*o. Suppose -2*b + 0*b - 6 = 0. Let w(m) = b*k(m) - 20*x(m). Let t(h) = h. Determine t(w(g)). 5*g Let h(g) = -3. Let n(r) = -1 + 7 + 1 - 1 + 6*r. Let d(v) = 6*h(v) + 3*n(v). Let k(c) = 2*c. Calculate k(d(l)). 36*l Let o(h) = h**2. Let p(a) be the second derivative of 0*a**2 - 2*a + 0 + 1/6*a**3. What is o(p(u))? u**2 Let j(t) = 41*t**2. Let b(v) = -1 + 15*v + 1 + 19*v - 25*v. Give j(b(h)). 3321*h**2 Let c(y) = 2*y. Let d(n) = 3*n + 51482. Determine d(c(g)). 6*g + 51482 Let y(d) = 18*d**2. Let h(w) = 2*w + 3. Let s(b) = -4*b + 4 + 3*b - 6 + 0. Let g(c) = 2*h(c) + 3*s(c). Determine g(y(o)). 18*o**2 Let l(r) = 3*r + 6. Let i(k) = -k - 1. Let g(h) = -6*i(h) - l(h). Let y(p) be the third derivative of p**4/12 + 2*p**2. Determine g(y(t)). 6*t Let z(i) = -5*i. Let v(n) = -2*n. Let p(h) = 6*v(h) - 2*z(h). Let o(t) = -11*t + 11. Let a(f) = 5*f - 6. Let u(b) = 11*a(b) + 6*o(b). Determine u(p(q)). 22*q Let c(v) = 22*v. Let u(f) = -25127*f - 2. Calculate c(u(r)). -552794*r - 44 Let r(d) = 36*d**2. Let i(t) = -t**2. Let u(l) = 20*i(l) + r(l). Let x(z) = -28*z - 37*z - 28*z + 94*z. Give x(u(h)). 16*h**2 Let d(j) = 6*j**2 - 2. Let x(m) = -42*m**2 + 15. Let t(n) = 15*d(n) + 2*x(n). Let g(o) be the third derivative of o**4/24 + 15*o**2. Calculate t(g(q)). 6*q**2 Let f(n) = -n**2 - 13*n + 1182. Let m(l) = -l. Determine m(f(s)). s**2 + 13*s - 1182 Let p(g) = -15287*g + 15287*g - g**2. Let z(f) = -183*f**2. Calculate z(p(k)). -183*k**4 Let m(u) be the third derivative of -u**4/24 + 304*u**2. Let p(c) = -136*c. What is m(p(q))? 136*q Let x(s) = -13*s**2 + 113454*s + 1. Let n(t) = -2*t**2. Calculate x(n(g)). -52*g**4 - 226908*g**2 + 1 Let c(y) = 0*y - 5*y + 6*y. Suppose -3*i + n + 17 = 0, 11 + 14 = -5*n. Let k(j) = 4*j - j - i*j - j. Determine c(k(d)). -2*d Let k(m) = -28*m - 2. Let a(i) = 435*i. What is k(a(j))? -12180*j - 2 Let n(g) be the second derivative of -1/6*g**4 + 16*g + 0*g**2 + 0*g**3 + 0. Let v(u) = u**2. Determine v(n(x)). 4*x**4 Let s(u) = -10*u - 5*u - 7*u - u. Let r(d) = 315*d - 315*d - 650*d**2 + 651*d**2. Give r(s(c)). 529*c**2 Let s(w) = 3*w. Let i(x) = -899*x - 2. Determine s(i(n)). -2697*n - 6 Let b(d) be the second derivative of -d**3/3 + 5*d**2/2 + 672*d. Let r(u) = 9*u. What is b(r(t))? -18*t + 5 Let n(j) = j**2 + 3*j + 4. Let m be (-13)/5 + (-4)/10. Let k be n(m). Let h(t) = t**2 - 4 + k. Let a(r) = 4*r. What is h(a(q))? 16*q**2 Let a(b) be the third derivative of b**4/24 - b**2. Let l(o) = 24*o - 58*o + 28*o + 24*o. Calculate l(a(t)). 18*t Let y(u) = -2*u. Let o be (78/65)/(2/5). Suppose 0 - 6 = -o*d. Let k(b) = -7 - b**d + 7 + 0. What is k(y(v))? -4*v**2 Let q(d) = -2*d**2. Let t(m) = -21*m**2 - 10*m**2 + 32 - 36. Let b(k) = 61*k**2 + 7. Let i(a) = -4*b(a) - 7*t(a). Give q(i(l)). -1458*l**4 Let a(l) be the second derivative of -l**4/3 - 170*l. Let g(f) = 102*f**2. What is g(a(j))? 1632*j**4 Let u(c) = 5*c**2. Let l(g) = g. Let w(k) = -3*k. Let r = 0 + 1. Let h be r/3*(-5 + 8). Let d(z) = h*w(z) + 4*l(z). Calculate u(d(s)). 5*s**2 Let l(c) = 5*c**2. Let o(d) = -d**2 - 17395*d. Give o(l(b)). -25*b**4 - 86975*b**2 Let r(p) = -7689*p**2 - 2. Let x(i) = 2*i. What is x(r(h))? -15378*h**2 - 4 Let p(n) = -14*n. Let r(v) = -229*v - 166*v + 44*v. Let d(q) = 99*p(q) - 4*r(q). Let c(w) = w**2. Determine c(d(z)). 324*z**2 Let f(b) = 2*b**2. Let g(n) = 1647*n + 5. Determine g(f(i)). 3294*i**2 + 5 Let h(c) = 3*c**2. Let d(k) be the first derivative of -5*k**4/4 - 13*k - 15. Let w(m) be the first derivative of d(m). What is h(w(s))? 675*s**4 Let k(z) = 21*z**2 - 28*z**2 + 11*z**2. Let t(u) = 2*u**2. What is k(t(y))? 16*y**4 Let m = -29 - -31. Let g(y) = -3358 + 3358 + 2*y**m. Let u(k) be the third derivative of k**4/24 + k**2. Give g(u(c)). 2*c**2 Let z(s) = -5*s. Let a(y) = 13*y - 5*y - 5*y - 3*y - 17*y**2. Calculate a(z(f)). -425*f**2 Let h(k) be the second derivative of 2*k**3/3 - 10*k - 4. Let s(t) = -6*t. What is h(s(d))? -24*d Let p(g) be the third derivative of g**4/12 - 13*g**2. Let t(u) = 5*u. Let k be t(2). Let d(q) = -q**2 + k*q**2 + 0*q**2. Determine p(d(v)). 18*v**2 Let d(l) = l**2. Let f(q) = 9*q**2 + 1. Let p(o) = 27*o**2 + 3. Suppose -5*i = -8 - 2. Let k(b) = i*p(b) - 7*f(b). Determine k(d(y)). -9*y**4 - 1 Let g(w) = -83*w**2. Let u(y) = 2*y + 1608. Give u(g(o)). -166*o**2 + 1608 Let w(d) = 24*d**2. Let p(j) = -9*j. Let t(n) = -8*n. Let u(a) = -3*p(a) + 2*t(a). Give u(w(o)). 264*o**2 Let i(o) be the first derivative of 62*o**3/3 - 51. Let k(x) = -x. Calculate k(i(h)). -62*h**2 Let s(o) = -o**2. Suppose -4*m = -0*m - 36. Let b be 3/m - 8/(-3). Let l(d) = 0*d**2 + 0*d**2 + 2*d**2 + b*d**2. Determine s(l(q)). -25*q**4 Let a(m) = -2 + 4*m**2 - 11 + 13. Let o(w) = 17*w**2 + 159 + 162 - 321. What is a(o(n))? 1156*n**4 Let x(z) be the second derivative of -z**3/3 - 29*z + 2. Let t(w) = -2*w**2 + 43. Calculate t(x(r)). -8*r**2 + 43 Let p(x) be the first derivative of 7*x**2/2 + 872. Let q(h) be the third derivative of h**4/12 + h**2. Calculate p(q(z)). 14*z Let t(l) = 2*l. Let i(g) be the second derivative of 17*g + 7/6*g**3 + 1/3*g**4 + 0*g**2 + 0. Determine i(t(c)). 16*c**2 + 14*c Let r(b) = -2*b. Let c(v) = 24*v**2 - 6*v - 1. Calculate c(r(s)). 96*s**2 + 12*s - 1 Suppose -10*d - 4 = -11*d. Suppose s + 11 = d*s + 5*j, 3*j = 3. Let b(h) = -h - h - s*h. Let m(w) = -2*w. Give b(m(k)). 8*k Let a(g) = 25*g + 4. Let j(t) = 22*t + 6. Let m(k) = 3*a(k) - 2*j(k). Let z(i) = -4*i**2. Give m(z(y)). -124*y**2 Let m be (2 - 1)*(4/(-1))/(-1). Let r(n) = 15*n + 11*n - m*n. Let k(f) = -2*f**2. Give r(k(j)). -44*j**2 Let v(h) = 2*h**2 + 25*h + 7. Let u(b) = b**2. Determine v(u(s)). 2*s**4 + 25*s**2 + 7 Let x(q) = -2*q**2. Let k(b) = 6970*b**2 + 205*b - 615. Let s(r) = 205*r**2 + 6*r - 18. Let f(a) = -6*k(a) + 205*s(a). Determine f(x(g)). 820*g**4 Let g(t) = -10990*t. Let j(s) = -7*s**2. Calculate j(g(c)). -845460700*c**2 Let f(j) = j - 11. Let n(z) = -1. Let c(r) = -6*f(r) + 66*n(r). Let v(w) be the second derivative of w**3 + 3*w. What is v(c(b))? -36*b Let a(v) = -2*v**2. Suppose 0 = 2*c - 4*u - 52, 0 = c + u + 3 - 23. Let x be ((-33)/c)/((-1)/2). Let k(q) = 5*q - x*q - 11*q. What is a(k(d))? -162*d**2 Let j(i) be the first derivative of i**5/20 - 5*i**4/24 + 32*i**3/3 - 18. Let n(p) be the third derivative of j(p). Let d(w) = 2*w. Give n(d(l)). 12*l - 5 Let r(n) = -23*n**2 - 3. Let p(f) be the first derivative of -f**2 + 112. Give r(p(v)). -92*v**2 - 3 Let f(n) = -30*n. Let q(w) = 7*w**2 + 8155. Give q(f(x)). 6300*x**2 + 8155 Let l(i) = -10*i**2 + 4*i. Let z(u) be the first derivative of 2*u**3 + 491. Give l(z(j)). -360*j**4 + 24*j**2 Let s(t) = 30*t. Let f be 11/(-22)*48/(0 - 1). Let i(y) = 6*y - f*y + 6*y + 10*y. Calculate s(i(j)). -60*j Let i(s) be the second derivative of 7*s**4 - s. Let h(z) be the first derivative of z**2 - 909. Give i(h(j)). 336*j**2 Let i(j) = 3*j**2 - 9*j + 9*j. Let w(m) = -4*m**2 - 10*m. Let l(k) = k**2 + 3*k. Let c(g) = 10*l(g) + 3*w(g). Give c(i(x)). -18*x**4 Let h(i) = -4*i**2 + 987. Let k(a) = -36*a. Give k(h(q)). 144*q**2 - 35532 Let m(k) = k**2. Let r(g) = 701*g**2 + 5. Determine r(m(z)). 701*z**4 + 5 Let c(p) = -10*p + 1. Let u(v) = 8*v**2 + 2*v. Let h(m) = 43*m**2 + 11*m. Let w(z) = 4*h(z) - 22*u(z). Determine c(w(f)). 40*f**2 + 1 Let o(a) = -24*a + 21. Let s(k) = k - 1. Let n(j) = 3*o(j) + 63*s(j). Let x(t) = 2*t**2 + 13 - 17 + 21 - 17. Determine x(n(u)). 162*u**2 Let u(y) = -2*y**2. Let d(o) = 32968
{ "pile_set_name": "DM Mathematics" }
-z for x. -5 Let b = -37 + 51. Suppose 12*u - b*u - 32 = 0. Let w be 4/u*-2*2*2. Solve -w*z - 12 = 2*z for z. -3 Suppose -i - 8*i = -54. Suppose 2*c = -5*j + i*j, 0 = -j + 2. Solve -2*g + c = 5 for g. -2 Let l = 48 - 46. Let y = l + 0. Suppose -y*s = s. Solve s = 5*i - 8 - 2 for i. 2 Let g(f) = -53*f - 2738. Let j be g(-52). Solve 57 = 13*k + j for k. 3 Let m be -379 - -865 - (-1 + -2 + -1). Solve -6*l - m = -490 for l. 0 Let m be (19 - 30)*-30*1 + 13. Solve -341*h = -m*h + 6 for h. 3 Let m be (-1)/(6/(-64))*(-30)/(-20). Suppose -3*v = -4*y, 5*y + m = 9*y + v. Solve 0*n + y = n for n. 3 Suppose -19*n + 23*n = 16. Let h be (4 - 20)/(-4)*1/n. Suppose -u + 6 = h. Solve -t + u = -0*t for t. 5 Suppose 2600*g + 6 = 2603*g. Solve -42 = -g*c - 38 for c. 2 Suppose 4*y + 2*u = 94, 5*u - 556 = 5*y - 531. Suppose 0 = l - 3 - 4. Solve y*s - l = 7*s for s. 1 Suppose 76231 = 14*v + 76203. Solve 16*n = 14 + v for n. 1 Suppose -7*t - 216 = 148. Let w = t + 56. Suppose 4*g + w*i + 5 + 7 = 0, -4*g - i = 3. Solve g*z = -z for z. 0 Let y = -20155 + 20196. Solve y*c + 42 - 1 = 0 for c. -1 Suppose -6470 = 14*c - 6862. Solve -11*h - 6 + c = 0 for h. 2 Let m = 92 - 88. Suppose 0 = 7*r - m*r. Suppose -3*u + r*w + 3*w + 27 = 0, 4*w = -u - 16. Solve u*c - c + 9 = 0 for c. -3 Suppose -15064 = -7*z - 21*z. Let n = 562 - z. Solve 0*q = 8*q + n for q. -3 Let p(q) = 5*q**2 + 27*q + 12. Let x be p(-5). Let n be (7 - 5) + x/((-2)/(-1)). Solve -n*o = -o - 10 for o. 5 Let v(k) = 28*k**3 + k**2 + 3*k + 3. Let z be v(-1). Let s = z + -25. Let q = s - -56. Solve q*w = -6 + 26 for w. 5 Let l be (-6)/(-21) - (-9)/(-7). Let v be 1 + 0/(-1) - l. Let u = 20814 - 20803. Solve v*d + u = 3 for d. -4 Let m(l) = -l**3 + 4*l**2 + 5*l + 2. Suppose 0 = -4*k - 5*a + 5, k - 1 = -a + 1. Let d be m(k). Suppose 8 + 6 = d*u. Solve x + 2 = u for x. 5 Suppose 16*x + 7852 = 42*x. Solve 304*v = x*v + 6 for v. 3 Let x be (-36)/(-15)*(-15)/(-6). Let w be (1 - -35)/x - 4. Solve -w*t - 4*t = 30 for t. -5 Let k(z) = -z - 1. Let n be k(-1). Let d(a) = a**2 - 17*a - 13. Let y be d(19). Suppose n = -27*x + y*x + 18. Solve 1 = 2*t + x for t. -4 Let b(y) = -19*y + 39*y + 6*y**2 + 21 - 3*y**2. Let r be b(-6). Solve -12*g + r*g = -15 for g. 5 Let s(i) = -i**2 - 78*i + 2204. Let y be s(22). Solve -13*z + 22 = -y for z. 2 Let x be 2 + (-1)/2*-30 + -5. Suppose 105 = x*j - 171. Solve 8 - j = -5*l for l. 3 Suppose 8*g - 13*g + 357 = -4*a, 3*g - 195 = -4*a. Solve g*v = 71*v + 2 for v. -1 Suppose -40*c = -33*c - 49. Suppose 18*m - 400 = -c*m. Solve -14*y - 10 = -m*y for y. 5 Suppose -2107 = -10*s - 557. Suppose -9*k - 110 + s = 0. Solve -k*f + 7*f - 6 = 0 for f. 3 Let p(x) = -11*x**2 - 3*x + 2. Let a be p(0). Let h be (((-10)/(-1))/a)/(-107 - -108). Solve 10 + 10 = h*j for j. 4 Let f = -533 - -535. Let z be (f/4)/(7/14)*3. Solve -4*u - z = -23 for u. 5 Let v be 212/(-26) + (-4)/(-26). Let h = v - -17. Let p be (715/26)/((-45)/(-18)). Solve 5*z = h + p for z. 4 Let l(g) = 2*g**3 - 61*g**2 - 31*g - 7. Let a be l(31). Let s(k) = -19*k - 127. Let v be s(a). Solve 0 = 26*u - 28*u + v for u. 3 Let c be (-40)/12*-1*78/4. Solve 4*t + c = 69 for t. 1 Let d(l) = -l**3 - 9*l**2 - 5*l - 38. Let g be d(-9). Suppose -4*c - 4*f - 8 = 0, -g = -4*c + f + 5. Solve -3*v - c*v = 5 for v. -1 Let k = -245 - -246. Let x be k/(5 + -4) + (1 - -3). Solve q = x*q for q. 0 Let y = -48 - -54. Suppose -y*x = -5 - 43. Solve 0 = 3*j + 4 + x for j. -4 Let m be (-6 - 3 - -245)*2. Let u be (12/(-7))/(4 - m/112). Solve 19 - 43 = -u*t for t. 3 Suppose -c + 5 = -0. Let u be ((-2944)/(-9936))/((-4)/(-54)). Solve 7 = u*a - c for a. 3 Suppose -4*z - 12 = -1968*k + 1963*k, z - 2 = 0. Let l be (-82)/(-4) + (-3)/(-2). Solve l*d - k = 23*d for d. -4 Let d be (-802)/(-10) - 1666/(-595). Solve 3 = 10*r + d for r. -8 Suppose 10 = 6*u - 8. Suppose o + 2*t + 4 = 0, -u*o = -0*t - 3*t - 6. Solve -m - m + 10 = o for m. 5 Let b be -6 + (-576)/(-104) - 756/(-117). Solve -b*q - 18 = -42 for q. 4 Suppose 4*z - 10*v = -13*v + 2661, -5*v = -5*z + 3335. Let k = z + -660. Solve k*f = 7*f + 5 for f. -5 Suppose 24*m - 36 = 156. Solve -m*g - 73 = -49 for g. -3 Suppose 0*a - 8 = 4*a. Let l be 3*a/(-9)*3. Let z(i) = 6*i**2 - 159*i + 78. Let p be z(26). Solve p*v = -l*v for v. 0 Suppose 2 + 9 = c + 3*x, 15 = c + 5*x. Let u be (2 - 3)/(1/(-5)). Suppose 26 = 2*s - c*t, u*s - t = -2*t + 11. Solve -s*k + k = -8 for k. 4 Suppose -1499*a = -1524*a + 1400. Solve 21 - a = 7*r for r. -5 Suppose -80 = -215*u + 213*u - 11*n, 5*u - 3*n = 261. Solve 7*i - u*i = -220 for i. 5 Suppose 34 = -2*w + 40. Suppose -p - 4 = 4*f, -2*f = -2*p + 3*p + 2. Solve 0 = -p*x + w*x - 15 for x. 5 Let l(z) = -z**3 + 7*z**2 - 9*z - 2. Let k be l(5). Suppose -5*d + 2*a = -2 - 9, -k*d = -2*a - 5. Solve 2*u - d*u = 0 for u. 0 Suppose 2*d = -15*g + 19*g - 24, 5*g - 4*d - 36 = 0. Let v(w) = w**3 - 15*w**2 - 15*w - 13. Let q be v(16). Solve 19 = q*b + g for b. 5 Suppose -12 = -5*h + 3*h. Let k be 71/(-923) - 3/(-39)*1. Suppose -10*y + h*y = k. Solve 5*s = -y*s for s. 0 Let q be (-24 - -19) + 13 + -4. Suppose -q*n + 91 = -3*h, -2*h - 119 = -2*n - 3*n. Solve 124*z - 129*z - n = 0 for z. -5 Let c be (-3)/1*3835/(-177). Solve 70*n = c*n for n. 0 Let t be 4/(-16)*-20*(-1 + 2). Let p be 28/(-98) - 74/(-14). Let i be -1*(-4 - 1)/p. Solve -i = t*f - 6 for f. 1 Let t(x) be the second derivative of x**5/15 - 41*x**4/24 + 3*x**3/2 - 27*x. Let n(i) be the second derivative of t(i). Let j be n(6). Solve 2*z + 1 = -j for z. -4 Suppose 3*a + 8 + 1 = 0, 0 = -2*p - 4*a + 46. Suppose -5*t + 25*u = 26*u - 139, -t + p = -u. Solve -5*l - t + 3 = 0 for l. -5 Let f(z) = -z**2 - 17*z - 14. Let v be 416/39*(-3)/2. Let n be f(v). Suppose -5*h = 3*y - 56, -5*y = -4*h + 7 - 51. Solve o - y = -n*o for o. 4 Let u be 3/3*(-2 - -3). Let t(d) = 63 + 30*d**2 + 9*d**3 + 2*d**3 - 6*d**3 - 6*d**3 - 2*d. Let i be t(30). Solve 2*s = i*s - u for s. 1 Suppose -16*t = -18*t + 4*o + 182, 455 = 5*t - 5*o. Solve -c + t = 96 for c. -5 Suppose -2*b + 4*b - 81 = -3*d, b - 28 = -d. Suppose r - 3*j = -0*r - 7, 4*j - 16 = 0. Suppose z - r = -2*a, -3*a + z = a - d. Solve 4*x + 25 = a for x. -5 Let s(z) = 3*z + 45. Let i be s(-14). Suppose 0*d + d = 5*d. Let b be (-2 + 2)/(-6) - (-6 + d). Solve i*t - b*t - 15 = 0 for t. -5 Suppose 0 = 14*l - 440 - 50. Solve -15*x + l = -22*x for x. -5 Let j(w) = -31*w**3 + 3*w**2 - 2*w - 6. Let q be j(-2). Let k = q - 254. Solve -10 + k = -6*t for t. 1 Let b(o) = -3*o**2 + 4*o + 4. Let l(k) = 3*k**2 - 4*k - 5. Let z(d) = -3*b(d) - 2*l(d). Let u be z(2). Solve n - 1 = u*n for n. -1 Suppose 5*h = 3*i - 410, 0 = -3*h + 145 - 130. Solve 133 - i = 6*x for x. -2 Let f(s) = s**3 - 2*s**2 + 2*s - 2. Let v be f(2). Suppose -i = -3*t + 12, -5*t - v*i - 30 = -50. Suppose -13 + 1 = -3*c. Solve 0 = -c*z - t + 20 for z. 4 Let c = -14467 - -14481. Solve 136 = 3*q + c*q for q. 8 Suppose -4*v - 11 = -2*q + 5, -5*q - 2*v - 8 = 0. Suppose 3*l + 2*p = p + 15, -4*l + 3*p + 20 = q. Suppose 0 = -l*z + 17 + 18. Solve 4*a + z = -13 for a. -5 Let n be (-112)/3*(-30)/(-20). Let r be (-2)/(-4) + n/(-16). Let b = -31 - -35. Solve 3*a + r = b*a for a. 4 Let y = -8430 - -8448. Let n = -6 + 8. Solve n*b = -4*b + y for b. 3 Let b = -17 + 20. Let a be 42/49*14/b. Let j = 31 - 16. Solve -s - j = a*s for s. -3 Let p be (-26 - (-2958)/36)/((-2)/(-12)). Solve 4*o + p = 333 for o. -1 Suppose 2124*x - 2077*x - 141 = 0. Let c = 8 - 3. Let m = 5 + -1. Solve 0 = -c*o + x*o - m for o. -2 Suppose 1517*m - 726*m - 25960 = 736*m. Solve -5*v + 482 = m for v. 2 Let p be 1/(((-6)/32)/(3225/(-100))). Solve 18*g = 61*g + p for g. -4 Suppose 3*w = -23*w - 0*w + 884. Solve w*y = 33*y - 1 for y. -1 Suppose 3*a = -5*p + 20, -4*p + 18 = -5*a + 2. Let v be (-19)/38 - (-34)/p. Solve v = x + x for x. 4 Suppose 25*t - 21*t = 40. Suppose 0 = -2*m - 2, y - t - 23 = 2*m. Let x = y - 26. Solve -5*r - x = -0 for r. -1 Let r(o) = o**3 - 4*o**2 - 3*o - 4. Let z be r(5). Let m(y) = 70*y + 769. Let i be m(-11). Let q be 8/24*i/((-2)/z). Solve -6 = 5*a - q for a. -1 Suppose -138 = -14*d - 12. Suppose 65 = d*w - 16. Solve -4*l + w*l = -25 for l. -5 Let i = 123 - 212. Suppose 8*f - 440 = 13*f - 5*t, 5*f + 4*t + 413 = 0. Let u = f - i. Solve -p = u*p for p. 0 Let l be ((-4)/(-14))/((-18)/(-63)). Suppose 2*i = -3*s
{ "pile_set_name": "DM Mathematics" }
e seventh biggest value? (a) 3 (b) -3 (c) -5/29 (d) -3/8 (e) 0 (f) 2/5 (g) 15 b Which is the third smallest value? (a) 0.2 (b) -5 (c) 326457 c Which is the second smallest value? (a) 3/2 (b) 590 (c) -8 (d) -24792 c Which is the biggest value? (a) 3 (b) 126254/119 (c) 2/5 b What is the biggest value in -1, 11, -1367025? 11 Which is the fourth biggest value? (a) 0 (b) -1581 (c) -861/16 (d) 1 b Which is the second biggest value? (a) -25552 (b) -14 (c) 11 b What is the fourth biggest value in 0.5, 1/6, -177, 5.61, 3/2, 2? 0.5 Which is the second biggest value? (a) 4 (b) 1374 (c) 3/4 (d) -4/13 a Which is the fifth biggest value? (a) 0.08 (b) -175 (c) 28/5 (d) -5 (e) 5 b Which is the fifth biggest value? (a) 3/7 (b) 1 (c) -4 (d) -2/7 (e) -4/697 c What is the fifth biggest value in -3, 5, 4/5, 0.4, 0.5, -1344, 4/237? 4/237 What is the third smallest value in -3, -0.2, 0.849, 0, -1, -0.1? -0.2 What is the sixth smallest value in 1, -0.09, -0.047, -514, 5, -3? 5 Which is the smallest value? (a) -1 (b) 0.2 (c) -4 (d) 3 (e) 0.4 (f) 452 (g) -5/2 c What is the third smallest value in 1/9, -683, -34, -3? -3 What is the second biggest value in 3/4, 14.78, -2, 1, 0.1, -25? 1 What is the smallest value in 249889, 13, 3/8, 3/2? 3/8 What is the fifth smallest value in 0.04, -0.5, -1/6, 3/5, -180, 4, -0.37? 0.04 What is the biggest value in -4, -40711, 0.11, -0.6? 0.11 Which is the smallest value? (a) -2 (b) -30 (c) 2.5 (d) 10/61 (e) 3 b Which is the third biggest value? (a) 2/343645 (b) -2/3 (c) -7 c Which is the smallest value? (a) 53826 (b) 5 (c) -2728 c What is the smallest value in -74, -11.4, 0, 0.144? -74 Which is the third smallest value? (a) 13 (b) -24096 (c) 4 (d) -3/14 c Which is the second smallest value? (a) -60/7 (b) -737 (c) -13 (d) -2 c Which is the fourth biggest value? (a) 38025438 (b) 0.3 (c) -3 (d) -0.5 (e) -2/5 d Which is the fourth biggest value? (a) 0 (b) 0.413 (c) -4/17 (d) 5 (e) 4 a Which is the second biggest value? (a) 485983 (b) -4 (c) 2 c What is the second smallest value in -48665, -78, 0.04? -78 Which is the fourth smallest value? (a) 1/2 (b) 9 (c) -11.5 (d) 2/7 (e) -0.52 a What is the second smallest value in -0.35, 0.06, -8, -1, 2, -44? -8 Which is the fourth smallest value? (a) 2/7 (b) -0.044 (c) -0.5 (d) 1 (e) 160/3 d Which is the fourth smallest value? (a) 2/3 (b) -94 (c) -2/7 (d) -0.17 (e) -0.4 (f) 24 d Which is the second biggest value? (a) -1/3 (b) -1.6 (c) 2 (d) -215 (e) 1 (f) -54 e Which is the second biggest value? (a) 2220 (b) -25 (c) 139/5 c Which is the biggest value? (a) -6945 (b) 4 (c) 16 (d) 0 (e) 1/15 (f) -5 c What is the sixth smallest value in 2, -2/29, -0.14, 4, -9, -139, 0.1? 2 Which is the second smallest value? (a) -2 (b) 4652 (c) 2 (d) -1 (e) -4/7 d Which is the third smallest value? (a) -2/7 (b) 3 (c) 902533 c Which is the smallest value? (a) 5 (b) 5.9 (c) -14 (d) -0.2 (e) 96 c Which is the seventh biggest value? (a) -365 (b) -1/5 (c) 2/23 (d) -0.9 (e) -23 (f) 4 (g) -4 a What is the second biggest value in -170, 1, 5, -14, 0, -1, -5? 1 Which is the biggest value? (a) -5 (b) 2/9 (c) -2/3 (d) -0.002 (e) 0.3 (f) -16 (g) -4/7 e What is the biggest value in 7, 5, 4/7, -0.2, -0.09, -0.047, -5? 7 What is the second biggest value in -0.1569, 1, -9, 0.0411? 0.0411 Which is the fourth biggest value? (a) -27 (b) -0.4 (c) -2/11 (d) 5 (e) 2.0973 b Which is the fourth smallest value? (a) 1364 (b) -243 (c) -0.2 (d) 164 a What is the seventh biggest value in -31.91, -3/7, -1/6, -11.2, 0.1, -1/2, -2? -31.91 Which is the smallest value? (a) -15/64 (b) -2.1 (c) 2 (d) -1 (e) 5 (f) -5.6 (g) -0.4 f Which is the smallest value? (a) -1/72 (b) 13 (c) -177 (d) 0.08 c Which is the third biggest value? (a) -2/7 (b) 3.37 (c) 0.4 (d) -5131 a What is the second smallest value in -0.15, 2/5, 30, -4, -83, 2, -12? -12 What is the biggest value in 1/3, -7/3, 11, -201? 11 Which is the third biggest value? (a) 16/13 (b) -2 (c) 11 (d) 619 a What is the second biggest value in -1, 3/4, 74.8681? 3/4 Which is the biggest value? (a) 1/9 (b) -2.9 (c) -14 (d) 4 (e) 7 e Which is the third biggest value? (a) 1 (b) 6/23 (c) 34410 b What is the seventh biggest value in -45.8, 0.06, 2, 0.2, 0, -1/3, -0.5? -45.8 What is the third biggest value in 0.4, 17775, -2/2365? -2/2365 What is the biggest value in -1, -11/6, 2, -5, 6, -0.61009, -4? 6 Which is the second smallest value? (a) -56 (b) -11 (c) -1 (d) 2073 (e) 0.5 b What is the second biggest value in -1.8, -2/51, -11943? -1.8 Which is the biggest value? (a) 25.95281 (b) 2 (c) 3 a Which is the second biggest value? (a) -5 (b) 0.1 (c) -8/59 (d) -4 (e) 42 b Which is the fifth biggest value? (a) -0.2 (b) 13 (c) 3415 (d) -4/3 (e) 5 (f) -2 d Which is the third smallest value? (a) -166 (b) 8 (c) 1.521 b What is the seventh biggest value in 1, 3/109, -8/9, -3, 2, 2/13, 0.2? -3 What is the fourth smallest value in 0, -23, -4, 2/35, 5/4, 1.1, 2? 2/35 What is the biggest value in -0.1, 0.5, -7081, -4, -2, 0.3? 0.5 Which is the third biggest value? (a) 0.3 (b) -4 (c) -4/17 (d) -28 (e) -13/5 e What is the biggest value in -6, -11004, 21? 21 What is the third smallest value in -2, 2/32825, 0.2, -1? 2/32825 Which is the second smallest value? (a) -891 (b) 0 (c) -28 (d) -1/7 (e) 11 c What is the biggest value in 3015.7, 0.08, -7, 20? 3015.7 What is the biggest value in 0.4, 2/25, 1573? 1573 What is the second biggest value in 0.066, -3/4, 20/3, -0.0916, 0.2? 0.2 Which is the second biggest value? (a) 17 (b) -3 (c) -13 (d) -0.065 (e) -1/90 e What is the fourth biggest value in 0.2, 15/682, 0.07, -63? -63 Which is the smallest value? (a) 2/3 (b) 8 (c) 3017.45 (d) 1 a Which is the fourth smallest value? (a) -158 (b) -1 (c) -0.6 (d) 2 (e) 41.1 (f) 0 f Which is the fourth smallest value? (a) -174 (b) 5 (c) -7.93 (d) 2 (e) 4 e What is the fourth smallest value in -2, 4, -8, 6374? 6374 What is the fourth smallest value in 2, 565, -5, -1, 0.01, 24? 2 Which is the fifth biggest value? (a) -2 (b) 1/1428 (c) 2 (d) 0.18 (e) 109 a Which is the fifth smallest value? (a) -1.2 (b) -26/13087 (c) -2/3 (d) -0.2 (e) 3/8 e What is the third smallest value in 1, -1/2, 8, 2, 16? 2 What is the third smallest value in -16/11, 186, -3/16, 0.02? 0.02 What is the third smallest value in -106, -1.2, 3, 2/7, -4/3, -28? -4/3 What is the third smallest value in -5, -1536951, 2/5? 2/5 Which is the third smallest value? (a) 9/17 (b) -0.2318 (c) -15 a What is the biggest value in -0.3, -346, 0.3, -3, -0.083, -10? 0.3 What is the biggest value in 1, 0.4, 6, -3.94, -5, -62? 6 What is the seventh smallest value in 4.36, -5, -2/3, -0.4, 51/2, 5, -0.3? 51/2 What is the third biggest value in -4, -1, -686660, 0.1? -4 What is the fifth smallest value in -74, -2/3, -3, -0.07, 2, -32.3? -0.07 Which is the fourth biggest value? (a) -13 (b) 0.2 (c) 0.3 (d) 0.8 (e) 4258 b What is the fourth biggest value in 7, -2, 4, 3, 1/5, 1.2? 1.2 What is the biggest value in 3, -358, -1, -2, 1/3, 0? 3 What is the fourth smallest value in 0, 8/21, -5, 149/3, -0.073? 8/21 What is the fourth smallest value in -6.26, -2, 13, -0.4, 4, 0.32? 0.32 Which is the smallest value? (a) -23 (b) -5 (c) 2 (d) -2/217 (e) 1/4 a Which is the biggest value? (a) 5/4 (b) 476.9 (c) 2/37 b Which is the third smallest value? (a) 73 (b) 0.5 (c) -154/5 (d) 2/5 (e) 5 (f) -7 d Which is the fifth biggest value? (a) -8 (b) -0.868 (c) 0.5 (d) -0.3 (e) 1/8 (f) -1/7 (g) -2/173 d What is the sixth biggest value in -1/8, -2, 0.4, 6, 0.1, 1.9, -5? -2 Which is the sixth biggest value? (a) 0.4 (b) 1/3 (c) 4/5 (d) 0 (e) 597 (f) -34 f What is the fifth biggest value in -2/21, -0.3, -217, 4/625, -5/3? -217 Which is the second smallest value? (a) -13667 (b) 1/7 (c) 1/2 (d) 0.4 b What is the smallest value in -13, -1, -40, -4/3, -0.5, 0.14, 0.3? -40 What is the third smallest value in 0.3, -135755, -3/4, -5/4? -3/4 Which is the fourth smallest value? (a) 1/9 (b) -1/4 (c) -0.2 (d) -0.4 (e) 7/3 (f) -0.082 (g) 6/11 f What is the seventh smallest v
{ "pile_set_name": "DM Mathematics" }
-1/2 (b) k (c) j c Let j = -46.4 + 43. Let n = 3 + j. Suppose -4*i - 5 = 15. Which is the closest to 0? (a) n (b) i (c) 2/3 a Let j be 6/(-4)*16/6. What is the nearest to -2 in -2/3, j, 0.4? -2/3 Let n = -2.6 - -3. Let p = -4.5 - 1.5. Let v = p + 10. What is the closest to -0.1 in n, -0.4, v? -0.4 Let l = -108 - -108.2. Which is the nearest to 3/7? (a) -5 (b) l (c) 2/7 c Let d = 0.1 + 0. Suppose 2 = -2*s - 2*q, 5*s - q - 1 = -0*q. Let v = -1 + s. Which is the nearest to d? (a) 0.2 (b) v (c) 4/7 a Let o = 3 - 0. Let a = -51/74 - 30/37. What is the closest to 0 in a, -1/2, o? -1/2 Let x = -207 - -202. What is the nearest to -0.1 in 19, 1/5, x? 1/5 Let z = 0 - -1. Let n = -14.1 - -18.1. Let q = 0 + -0.1. Which is the nearest to q? (a) -0.2 (b) n (c) z a Let m = -0.3 + 0. What is the closest to 0 in m, -5, 0.1? 0.1 Suppose 6*w = 160 + 80. Let r = -278/7 + w. Which is the closest to -3? (a) -1 (b) -2 (c) r b Let x = 66 - 66.1. Which is the nearest to x? (a) 17 (b) -0.2 (c) 1 b Let f = -313/44 + 92/11. Let s = -0.9 + -0.1. Which is the nearest to s? (a) 2/3 (b) f (c) 0.4 c Let u = -0.11 + 0.01. Which is the closest to 0.1? (a) -4 (b) 0 (c) u b Suppose -5*s = -3*p - 3*s - 11, 6 = -2*p + s. Which is the closest to p? (a) 5 (b) -1 (c) 0 b Let i = 0.1 + 0. Let p = -3 + -5. Let x = p - -5. Which is the closest to i? (a) -4 (b) x (c) -2 c Let n = -0.011 - 20.989. Let g = 13 + n. Let p = -7.7 - g. Which is the closest to 0? (a) -2/9 (b) p (c) -0.4 a Let n = 3/26 + 5/13. Which is the nearest to n? (a) -2 (b) 0.5 (c) 2 b Let m = 26 - 24. Let r be m/7 + (-3)/7. Which is the closest to 0? (a) r (b) -2 (c) 0.5 a Let w be 6/9 - -22*3/9. What is the nearest to w in 5, -4, 0.3? 5 Let j = 2.23 - 0.23. Which is the closest to 2? (a) 2/3 (b) j (c) -0.4 b Let z = -4 - -5. Which is the closest to 0.2? (a) 2 (b) z (c) 0 c Let t = -5 + 8. Suppose 0*q = -t*q. Let k = 1 - 0. Which is the closest to q? (a) -1/6 (b) -5 (c) k a Suppose 3*k + 5*v = 0, 0*k = 2*k - 3*v. Which is the closest to -13? (a) -1 (b) k (c) -3/5 a Let z be -3*((-3 - -2) + 2). Suppose -3*d + 12 = 0, -d = y - 5*d + 11. What is the closest to -0.2 in z, y, 1/8? 1/8 Let i = 3.05 - 0.05. Let s = -4.05 + 4. Let h = s - 0.05. Which is the nearest to -2/5? (a) 0.1 (b) i (c) h c Let c = 1.9 - -0.1. Let z = 1.9 - c. Suppose 0 = 5*o + 4*u - 17, 0 = -3*o - 2*u - 1 + 10. What is the closest to z in o, 5, 0.4? 0.4 Let o = 38 + -151/4. Let p = -0.7 - -0.2. What is the nearest to 2/5 in o, p, 0? o Let y be (2 + -2)*2/4. Let o = 3.79 + 0.31. Let n = -4 + o. Which is the closest to -2/3? (a) -4 (b) y (c) n b Let i = -24 - -169/7. Let l = 11.09 + -11. Let r = l - -0.01. Which is the nearest to -2/5? (a) i (b) r (c) -3/7 c Let r = 437/5 + -87. Let n = -0.5 + 2.5. Which is the nearest to r? (a) -2 (b) n (c) -0.2 c Let z be -1 + -2 - -3 - -12. Suppose 0 = -5*s + 2*s + z. What is the nearest to -0.1 in s, 4/7, -0.4? -0.4 Let p = -49/9 - -16/3. Let s = 6 - 6.4. What is the nearest to -1/2 in p, s, -0.3? s Let t = 15 + -11. Suppose 3*g - t*j = 7, 2*g - 3*j = -3*g - 3. Let l = 19 + -19. Which is the closest to -1? (a) g (b) 0.5 (c) l c Suppose 0 = -6*x + 3*x. Suppose -3*u + 12 + 0 = 0. Suppose -u*n - n - 20 = 0. Which is the closest to x? (a) n (b) 0.1 (c) 0.5 b Let w = -5.3 + 5. Let o = 0.2 + w. Suppose -2*j + 4 = 2*d, 5*d - 7 = 4*j + 4*d. Which is the nearest to j? (a) -0.5 (b) 1 (c) o a Let t = -4 - -3.7. Let o = -0.8 - t. Let q = 10.2 + -11.2. Which is the nearest to q? (a) o (b) 2 (c) -3/8 a Let t = -14/33 + 1/11. Let n = -0.4 + 0.3. Which is the closest to t? (a) n (b) -3 (c) 1 a Let z = 97/15 + -20/3. Let g(n) = -n**2 + 5*n - 4. Let u be g(4). Suppose 5*j = 3*i - u - 6, -3*j - 6 = -3*i. Which is the nearest to 0.2? (a) j (b) z (c) 5 a Let v be (-123)/(-39) + 0 + -3. Let s = -0.1 - -0.2. Which is the closest to 1? (a) 2/5 (b) s (c) v a Let v(m) = 0 + 6*m**2 - 3 + m**3 + 2 + 5*m. Let k be v(-5). Let x = -1 + 1. What is the nearest to 1 in x, k, 2/11? 2/11 Let z(c) = 2*c**2 + c - 2. Let q be z(-2). Let a = 0.1 - 0.1. What is the nearest to q in a, 1/3, 0.5? 0.5 Let p = -355 + 1067/3. Let c = 16 + -11. What is the closest to p in 0.2, -2/3, c? 0.2 Suppose 0 = -6*o + 2 + 4. Let k = 4 - 4.1. What is the closest to 1 in o, k, -1? o Let i be ((-2)/4 - 0)/((-3)/12). What is the closest to -0.1 in -4, -3, i? i Let g(w) = -w**3 + 24*w**2 - 23*w - 2. Let f be g(23). Which is the closest to 0? (a) f (b) -0.5 (c) 42 b Let g = 0.05 + 1.95. Let o = -2.5 - -0.5. Let u = o - 1. What is the nearest to g in -2/5, u, 2/11? 2/11 Suppose u - 25 = -4*u. Which is the closest to -0.2? (a) 16 (b) u (c) 0.1 c Suppose 7*p - 5*p = 6. Which is the nearest to 2? (a) -5 (b) p (c) -4 b Let l be (-6)/(-40) - 19/(-76). Let q = -133/90 + 5/18. Which is the nearest to 0? (a) q (b) 0.5 (c) l c Let p = -335 - -5023/15. What is the nearest to p in -2, -3, -0.4? -0.4 Let k be (-3 - (-514)/190) + 2/5. What is the closest to -2 in -1/6, k, -2/19? -1/6 Let o be 323/141 - (4 - 2). Let m = -12316/47 + 262. Let t = o - m. Which is the nearest to t? (a) 0.2 (b) 1/2 (c) -0.1 a Let q = 0.8 + -0.3. Let r = 80/111 + -2/37. Suppose 2*v + 4 = -0*v. What is the closest to 0 in r, v, q? q Let z = -63/148 - -2208/37. Let j = -60 + z. Let f = -7 + 5. Which is the closest to 2/7? (a) j (b) f (c) -5 a Let v = 0.13 + 4.87. Let q = -10 + v. What is the nearest to 0.1 in -4/9, q, 1/5? 1/5 Suppose -v + 3*v - h = -5, 5 = -5*h. What is the nearest to -26 in 0.2, v, -0.1? v Let q = -5.24 - -0.24. Which is the nearest to -1/4? (a) 4/5 (b) q (c) -4 a Let s(t) = t**2 + 6*t. Let m be s(-7). Which is the nearest to -2/3? (a) -1/2 (b) m (c) -2/11 a Let t = 0.2 + -0.1. Let x = -11 - -10.9. Let l = t + x. What is the closest to l in 3, 0.1, 0? 0 Suppose -3*w - w = 4*x - 20, 3*x = 4*w - 27. Let h be w/45 - 2/(-60). Suppose -2*k = 3*k - 5. Which is the closest to k? (a) 2 (b) 0.3 (c) h b Suppose -3*r + 27 - 9 = 0. Let g be 2/r - (-15)/(-27). Let x = -3 + 4. What is the nearest to x in g, -3, -3/2? g Let d = -1.1 + 4.6. Let u = 1.5 + d. Let l = -72 - -214/3. Which is the nearest to 0.1? (a) u (b) l (c) 0.3 c Let g = -1.1 + 6.1. Let o = -0.92 - 0.08. Let p = 0.9 + o. Which is the closest to p? (a) -2/5 (b) -5 (c) g a Let w = 8 - 7. Which is the closest to w? (a) -1/4 (b) -1 (c) 1 c Let h = 20.3 - 20.4. Suppose -4*u - 4*l = -8 + 24, -5*l - 23 = 2*u. Let b = -101 - -705/7. What is the nearest to u in h, b, 0? 0 Let f = 36 - 35.8. Which is the closest to -0.1? (a) -2 (b) -3/2 (c) f c Let s be (-2 - (-36)/21)*-1. Let t = -0.22 - 2.78. Which is the nearest to 0? (a) t (b) s (c) 1 b Suppose -23 = -2*z + 4*p + 1, 3*z + 2*p + 4 = 0. What is the closest to z in 1/3, -3/4, -2? 1/3 Let m(z) = z**2 + 2*z - 2. Let l be m(1). Which is the nearest to -1? (a) l (b) 0.5 (c) 0 c Suppose 2*k = -4, 0 = w + 4*k - 3*k + 2. Let u(b) = -b**2 + 4*b + 6. Suppose 2*o - 13 + 3 = 0. Let x be u(o). What is the nearest to x in 4, -5, w? w Let j = -1 - -1.1. Let y = -425 + 425. Which is the closest to y? (a) -3/4 (b) j (c) 5 b Let m = 4.09 - 0.09. Let v = -6 - -6.4. Which is the closest to 1? (a) v (b) -2/3 (c) m a Let v = 5.07 + -0.07. Which is the nearest to 1/2? (a) 0.4 (b) -1/2 (c) v a Let z = -19 - -21. What is the closest to -0.1 in 0, z, -2? 0 Let j = 0.71 - 0.41. Which is the nearest to 0.2? (a) -0.2 (b) j (c) -1 b Let u = 7.7 - 8. Let c = -7 - -6.75. Let f = c - -0.05. What is the closest to 2/7 in -3, u, f? f Let i = 0.04 - 0.04. Let f = -3 + 3.4. What is the nearest to i in 3, f, -0.2? -0.2 Let m = -2550/7 + 364. Let p be -4 - (0/(-2) + 0). What is the nearest to 1 in p, m, 4? m Suppose 0 = 7*u - 2*u - 10. Suppose -u*d + 2 = -d. Which is the nearest to -1? (a) 5 (b) d (c) 2/11 c Let p be (-27)/(-15) - (-2)/(-1). Let v = 0.3 - 0.2. Which is the closest to 2/9? (a) v (b) -1/2 (c) p a Let r be (-8)/(3/((-9)/6)). What is the nearest to -0.1 in 0.3, r, 1/10? 1/10 Let u(q) = q + 4. Let n be u(-4). Let l = -45 + 41.9. Let f = l - -3. Which is the nearest to -1/2? (a) -2/13 (b) f (c) n a Let o = 0 + 0.2. Let b = -2 + 1. Let h = 21 + -19. What is the nearest to o in b, h, 1? 1
{ "pile_set_name": "DM Mathematics" }
1. -(n - 5)*(n + 1)/5 Suppose 2*q = 3*q - 26. Suppose 2*p + 4*f = q, -2*f = -0*f - 8. Factor 10*m**2 + m - p*m**2 - 3*m**2 + m**3. m*(m + 1)**2 Let a be (132/1155)/((-8)/(-60)). Determine k so that -a*k - 2/7*k**2 - 4/7 = 0. -2, -1 Let p = 84 + -70. Let q be (p/6 + -2)/((-32)/(-144)). Determine l, given that -q*l + 0 + 3/2*l**2 = 0. 0, 1 Let z(h) be the first derivative of -1/3*h**3 + 3/4*h**2 + h - 1/2*h**4 + 1/12*h**6 - 7 + 0*h**5. Determine j, given that z(j) = 0. -1, 1, 2 Let l(h) be the first derivative of -8/3*h**3 - 4*h + 8*h**2 + 12/5*h**5 - 4*h**4 + 3. Factor l(q). 4*(q - 1)**2*(q + 1)*(3*q - 1) Let 2*g**2 - 32/3 - 2/3*g**4 - 16/3*g**3 + 44/3*g = 0. Calculate g. -8, -2, 1 Let a(r) be the second derivative of -r**7/7140 - r**6/3060 - 5*r**3/6 - 18*r. Let c(n) be the second derivative of a(n). Solve c(x) = 0. -1, 0 Let n = -23 + 11. Let y = 21 + n. Factor 10*f**2 + 15*f - 36*f**2 - y + f**3 + 19*f**2. (f - 3)**2*(f - 1) Let h be 1*(-2)/16 + 1064*(-7)/(-2240). Suppose h - 4*a - 1/5*a**5 + 2/5*a**4 + 11/5*a**3 - 8/5*a**2 = 0. What is a? -2, 1, 4 Let v be (-9)/(2/7 + 1008/(-441)). Factor -v + 3/2*l + 9/2*l**2 - 3/2*l**3. -3*(l - 3)*(l - 1)*(l + 1)/2 Solve -8/9*c**3 - 2/9*c**4 + 0 + 14/9*c**2 + 20/9*c = 0 for c. -5, -1, 0, 2 Let u(g) = -10*g**2 + 34*g - 94. Let n(p) = 0*p + 2*p + p**2 - p - 1. Let w(i) = -6*n(i) - u(i). Find b, given that w(b) = 0. 5 Let o be 3 + (85/(-1))/(-5). Find k such that -8 - o*k - 8*k**3 + 28*k**3 + 2*k**2 - 9*k**2 + 15*k**2 = 0. -1, -2/5, 1 Let p(d) be the third derivative of -d**8/23520 + d**7/2205 - d**6/630 + 7*d**4/24 + 6*d**2. Let q(l) be the second derivative of p(l). Factor q(y). -2*y*(y - 2)**2/7 Let s be (-4)/30*2/24*-2. Let d(h) be the second derivative of 1/63*h**7 + 0 - 4*h - 1/30*h**5 + 0*h**2 - s*h**6 + 1/18*h**4 + 0*h**3. Factor d(z). 2*z**2*(z - 1)**2*(z + 1)/3 Let k(o) be the third derivative of o**6/15 - 23*o**5/30 - o**4/3 + 23*o**3/3 + 56*o**2. Factor k(v). 2*(v - 1)*(v + 1)*(4*v - 23) Let k(f) = -5*f**2 - 45*f + 40. Let i(w) = 5*w**2 + 44*w - 41. Let h(q) = 5*i(q) + 4*k(q). Factor h(j). 5*(j - 1)*(j + 9) Let o = 148 + -64. Suppose 11*r + 84 = o. Find d such that r*d - 2/9*d**2 + 0 = 0. 0 Let z(j) be the third derivative of -1/630*j**7 - 1/120*j**6 - 17*j**2 + 0 + 0*j + 0*j**3 - 1/90*j**5 + 0*j**4. Determine y, given that z(y) = 0. -2, -1, 0 Let g(q) be the first derivative of -5*q + 0*q**2 + 1/40*q**5 + 1/12*q**3 - 1/12*q**4 - 4. Let a(l) be the first derivative of g(l). Let a(r) = 0. What is r? 0, 1 Suppose 14*p + 85*p - 127 = 170. Factor -3/5*m**4 - 15 - 24/5*m**p - 18/5*m**2 + 24*m. -3*(m - 1)**2*(m + 5)**2/5 Let w(f) be the third derivative of 0*f**3 + 0 + 46*f**2 + 0*f + 3/8*f**4 - 1/20*f**5. Factor w(q). -3*q*(q - 3) Factor 2/3*d**2 + 16*d + 96. 2*(d + 12)**2/3 Let h(q) be the third derivative of q**7/35 + 11*q**6/60 + q**5/5 - q**4 - 8*q**3/3 + 4*q**2 - 25*q. Suppose h(g) = 0. What is g? -2, -2/3, 1 Solve -x**4 - 4*x - 6*x**3 + 1 - 1 + 27*x + 9*x = 0. -4, 0, 2 Let f(o) = -8*o - 3. Let u(d) = 12*d + 4. Let p(k) = -8*f(k) - 5*u(k). Let g be p(-1). Solve -3/4*n**4 + 0 - 3/4*n**5 + g*n + 3/4*n**2 + 3/4*n**3 = 0. -1, 0, 1 Let x(f) be the third derivative of f**5/20 + 91*f**4/8 + f**2 + 223*f. Find l, given that x(l) = 0. -91, 0 Suppose -21*n + 22*n = 4. Factor -20*j**3 - n*j**2 + 0*j - 12*j**4 + 0*j + 4*j. -4*j*(j + 1)**2*(3*j - 1) Let w(o) be the second derivative of -o**4/60 + 19*o**3/30 - 6*o**2 - 2*o. Let w(n) = 0. Calculate n. 4, 15 Let z(t) = 3*t**4 + 21*t**3 + 23*t**2 - 357*t + 298. Let q(l) = 3*l**4 + 18*l**3 + 22*l**2 - 357*l + 299. Let x(s) = 4*q(s) - 5*z(s). Factor x(n). -3*(n - 2)*(n - 1)*(n + 7)**2 Let z(f) = -f**3 + 6*f**2 + 5*f + 14. Let j be z(7). Let d(y) be the second derivative of -8/21*y**3 + 5/42*y**4 + 4/7*y**2 + 4*y - 1/70*y**5 + j. Factor d(q). -2*(q - 2)**2*(q - 1)/7 Let r(o) be the third derivative of o**7/210 + 7*o**6/24 + 11*o**5/20 - 35*o**4/24 - 17*o**3/3 + 902*o**2. Factor r(g). (g - 1)*(g + 1)**2*(g + 34) Suppose 3/5*g**4 - 6/5*g**2 - 12/5*g**3 + 27/5 + 36/5*g = 0. What is g? -1, 3 Solve -1/4*z**2 - 25 - 5*z = 0 for z. -10 Let w(c) be the first derivative of c**4/7 - 4*c**3/3 + 22*c**2/7 - 20*c/7 + 36. Factor w(d). 4*(d - 5)*(d - 1)**2/7 Let k(r) be the second derivative of -1/90*r**5 + 0*r**3 + 1/54*r**4 + 4*r + 0 + 0*r**2. Find f such that k(f) = 0. 0, 1 Factor -145 - 34*t + 21*t**2 + 286 - 2*t**4 + 9*t**2 - 129 - 6*t**3. -2*(t - 1)**3*(t + 6) Let g be (-23)/(-4) - (63/(-28) - -2). Factor 2*z**3 + 21 - 13 - 10 - 6*z**2 + g*z. 2*(z - 1)**3 Let n be -2*(-12)/(-8) - (-10 - 3). Let p be (-4)/(-4*5/n). Let 0*j**3 + 0*j - 2/13*j**4 + 2/13*j**p + 0 = 0. What is j? -1, 0, 1 Let c be (-328)/(-4018)*(-6 + -1) - (-51)/28. Factor -150*n - c*n**3 + 115/4*n**2 - 180. -5*(n - 12)**2*(n + 1)/4 Let g be (-5 - 0) + 723*3/432. Let l(p) be the third derivative of 11*p**2 + 0*p**3 + 0 + 0*p + 1/160*p**6 + 1/48*p**4 + g*p**5. What is o in l(o) = 0? -1, -2/3, 0 Let m(i) be the second derivative of -i**7/504 - i**6/24 + 5*i**4/4 - 12*i. Let u(k) be the third derivative of m(k). Factor u(g). -5*g*(g + 6) Suppose -2*x = 3*l - 8, 0*x = 4*l - 5*x - 3. Solve -217*i**l - 30 - 25*i + 427*i**2 - 215*i**2 = 0. -3, -2 Let a be (2 - (-14)/(-4))/((-1155)/28). Let c(i) be the first derivative of 1/11*i**2 - 1/22*i**4 + 0*i + 5 - 2/33*i**3 + a*i**5. Suppose c(k) = 0. What is k? -1, 0, 1 Suppose 2*u = -4*i + 24, 0 = 5*u - 2*u - 4*i + 14. Suppose -c = -b - 3, 0*c + 4*b = u*c - 6. Determine j so that -4 + 3*j + j**2 + 3*j**2 - c*j**2 = 0. -4, 1 Factor -1/3*t**3 - 13*t - 7*t**2 - 19/3. -(t + 1)**2*(t + 19)/3 Let u = 135 + -132. Suppose -1/2*g**u - 2*g + 0 - 2*g**2 = 0. What is g? -2, 0 Let y(i) be the second derivative of -3/40*i**5 + 0 + 0*i**2 - 12*i + 3/4*i**4 - 5/4*i**3. Factor y(j). -3*j*(j - 5)*(j - 1)/2 Let h = -33 + 69. Let o be (-9)/h + 1/8*2. Solve -2/9*x + 4/9*x**2 + o - 2/9*x**3 = 0. 0, 1 Let w(l) be the first derivative of 2*l**5/35 - l**4/7 - 8*l**3/21 + 2*l**2/7 + 6*l/7 + 12. Factor w(m). 2*(m - 3)*(m - 1)*(m + 1)**2/7 Suppose 3*i - 9 = -2*x, 40 = 3*x - i + 32. Solve 6*p**2 + 4*p**x + 2/3*p**4 + 0 + 8/3*p = 0. -4, -1, 0 Let v be 0*(-4)/30*(-42)/28. Factor 4/13*z - 2/13*z**2 + v. -2*z*(z - 2)/13 Let g(j) be the second derivative of 0 + 2/11*j**2 - 1/110*j**5 + 1/33*j**3 - 1/33*j**4 - 3*j. Factor g(c). -2*(c - 1)*(c + 1)*(c + 2)/11 Let y(q) be the second derivative of -q**6/50 + 18*q**5/25 - 22*q**4/5 - 336*q**3/5 - 1176*q**2/5 - 233*q. Determine g, given that y(g) = 0. -2, 14 Let p = -2097/8 + 6347/24. Find b such that -1/3*b**4 - 13/3*b - p*b**3 - 4/3 - 5*b**2 = 0. -4, -1 Let f be (-5)/((-20)/6)*2. Let q = 2 - 0. Solve -f - 4*l**3 - 12*l - 4*l**3 + q - 1 - 18*l**2 = 0 for l. -1, -1/4 Let y(s) = s**2 + 7*s + 2. Let z(d) = -d**2 - d - 7. Let u be z(0). Let b be y(u). Factor 3 + 3*r**2 - b*r + 11*r - 3. 3*r*(r + 3) Let s be 20/6 - 4/(-6). Suppose -5 - 15 = -4*r - 2*b, 4*r - 14 = b. Find p such that -3*p**4 - 8*p + 4*p - 4*p**2 + r*p**3 + 7*p**s = 0. -1, 0, 1 Let h(z) be the second derivative of z**6/1980 + z**5/330 - 3*z**3/2 + 11*z. Let o(m) be the second derivative of h(m). What is w in o(w) = 0? -2, 0 Factor 392*l**5 + 2*l**3 - 4*l**4 - 389*l**5 - 4*l**3 + 3*l**3. l**3*(l - 1)*(3*l - 1) Let k be (-2)/(-2 - 0) - 2 - 13. Let g be (-4)/k + (-48)/(-28). Let -1/4*y**3 - 1/4*y + 1/2*y**g + 0 = 0. What is y? 0, 1 Let p(h) be the third derivative of -3*h**8/112 - 31*h**7/70 + 23*h**6/40 + 11*h**5/20 - 86*h**2. What is y in p(y) = 0? -11, -1/3, 0, 1 Find a, given that 112*a - 48*a**3 - 31*a - 88*a**2 + 4*a**5 + 91*a + 19 + 32*a**4 - 91 = 0. -9, -2, 1 Let s = 4 + 1. Let c(f) = 3*f**2. Let b(u) = 2*u + 102*u**2 - 108*u**2 - 2*u. Let v(d) = s*c(d) + 2*b(d). Factor v(a). 3*a**2 Suppose 2*v + w = -0*v - 1, -2*v + 3*w = -19. What is p in 144*p - p**2 - 36*p**3 - 70*p**2 - 65*p**v + 48 + 21*p**4 + 40*p**2 = 0? -2, -2/7, 2 Let m(j) be the first derivative of j**5/540 - 5*j**4/108 + 25*j**3/54 - 5*j**2/2 + 9. Let d(p) be the second derivative of m(p). Solve d(z) = 0. 5 Let h(f) be the third derivative of -f**5/390 - 7*f**4/156 - 2*f**3/13 + 22*f**2. Solve h(v) = 0 for v. -6, -1 Let w(h) = 4*h**3 - 6*h + 2. Let f(m) = -5*m**3 + m**2 + 5*m - 1. Let l(g) = -3*f(g) - 4*w(g). Suppose l(k) = 0. What is
{ "pile_set_name": "DM Mathematics" }
*h(t) - 6*m(t)? -2*t Let l(h) = 35*h - 5. Let x(u) = 104*u - 14. Calculate 11*l(m) - 4*x(m). -31*m + 1 Let y(x) = -3*x**2 + 1. Let m(s) = -5*s**2 - s + 3. Let r(b) = -m(b) + 2*y(b). Let q(o) = -o**2 - 3*o**2 - 2 + o + 2*o. What is -q(l) + 3*r(l)? l**2 - 1 Let f(q) = -6*q - 8 + 2*q**2 - 2*q**2 + 7*q**2. Let u(w) = -20*w**2 + 17*w + 23. Give -17*f(s) - 6*u(s). s**2 - 2 Let d(z) = -z**3 - z**2 - z + 1. Let y(x) = 3*x**3 + 9*x**2 - 5. What is -5*d(t) - y(t)? 2*t**3 - 4*t**2 + 5*t Let r be ((-3)/4)/(2/(-8)). Let f(z) be the first derivative of z**4/4 - z**2 - 5*z - 1. Let l(i) = -4*i**2 - 4 + 4*i**2 - 2*i + i**3. What is r*l(u) - 2*f(u)? u**3 - 2*u - 2 Let c(g) = 5*g**2 + 4*g. Let v(z) = z**2 + z. Calculate c(i) - 4*v(i). i**2 Let i(x) = 9*x + 13. Let m be (-9 - (1 + 0))/(-1). Suppose -s + m - 4 = 0. Let z(a) = a + a - 2*a - 7 - 5*a. Determine s*i(n) + 11*z(n). -n + 1 Let a(o) = o + 1. Let z(h) = -20*h - 12. Determine 16*a(r) + z(r). -4*r + 4 Let k(x) = 2*x**3 - 3*x**2 + 3*x. Let l(z) be the second derivative of 2*z - 5/3*z**3 - 3/10*z**5 + 0*z**2 + 5/6*z**4 + 0. Calculate -10*k(n) - 3*l(n). -2*n**3 Let l(h) = -3*h**2 + h. Let a(b) = -b - 1. Let n(s) = s**2 + s + 1. Let k(o) = a(o) + n(o). What is 7*k(u) + 2*l(u)? u**2 + 2*u Let o(c) = 23*c**2 - 7. Let f(h) = 34*h**2 - 10. Give -5*f(d) + 7*o(d). -9*d**2 + 1 Let i(d) = 13*d**3 + 2*d**2 - 4*d - 6. Let o(v) = -14*v**3 - 2*v**2 + 5*v + 7. Give -7*i(y) - 6*o(y). -7*y**3 - 2*y**2 - 2*y Let w(r) = -2*r**3 - 3*r**2 + 2*r. Let s(t) = t**2 + 6*t + 7. Let h be s(-3). Let a(x) = -4*x**3 - 7*x**2 + 5*x. What is h*a(z) + 5*w(z)? -2*z**3 - z**2 Let h(d) = -112*d. Let i(x) = -7*x. Calculate -3*h(b) + 49*i(b). -7*b Let w(s) = 14*s**2 - 17*s + 20. Let a(v) = -5*v**2 + 6*v - 7. Let c(g) = 17*a(g) + 6*w(g). Let k(y) = 2*y**2 - y - 2. What is -3*c(j) - k(j)? j**2 + j - 1 Let b(y) = -6*y - 29. Let q(k) = -4*k - 19. What is -5*b(j) + 8*q(j)? -2*j - 7 Let o(f) = 27*f**2 - 15*f. Let c(s) = 17*s**2 - s**2 - 9*s**2 - 4*s. Give -15*c(i) + 4*o(i). 3*i**2 Let v(d) be the second derivative of -d**3/2 - 2*d**2 + 2*d. Let b(u) = -5*u - 7. Let h = 18 + -11. Give h*v(w) - 4*b(w). -w Let f(d) = d**3 - d**2 - d - 1. Let x(v) = 2*v**3 - 4*v**2 - 4*v + 15. Calculate -4*f(u) + x(u). -2*u**3 + 19 Let b = -2 - -3. Let x(t) be the second derivative of t**5/10 - 3*t**2/2 - 2*t - 55. Let h(s) = s**3 - 1. Determine b*x(z) - 3*h(z). -z**3 Suppose 0 = 7*q - 3*q + 2*m + 12, -4*q = 5*m + 6. Let k(g) = 3*g**3 + 9*g**2. Let y(w) = -2*w**3 + 432*w - 3*w**2 - 432*w - 2*w**2. Give q*k(i) - 7*y(i). 2*i**3 - i**2 Let r(z) = 2*z**3 - 4*z**2 - 9*z + 5. Let d(g) = 3*g**3 - 7*g**2 - 17*g + 9. What is 4*d(j) - 7*r(j)? -2*j**3 - 5*j + 1 Let g(x) = -3*x**2 - 4*x + 2. Suppose -4*t + 9 = n, 7*n = 4*n + t - 38. Let r(o) = 8*o**2 + 11*o - 6. Calculate n*g(h) - 4*r(h). h**2 + 2 Let c(f) = 75*f**2 - 15*f + 15. Let n(z) = 19*z**2 - 4*z + 4. What is 4*c(p) - 15*n(p)? 15*p**2 Let b(k) = k**2 - k. Let t(n) = 2*n**2 - 5*n + 4. Determine -6*b(a) + t(a). -4*a**2 + a + 4 Let i(v) = -v. Let x(f) = 9*f + 2. Give -2*i(t) - x(t). -7*t - 2 Let a(q) = 1. Let u(b) = 3*b - 3 - b - 4*b + 0*b. Give 2*a(c) + u(c). -2*c - 1 Let m(u) = 8*u**3 - 3*u - 5*u**2 - 10*u**3 + 0*u**2 + 0*u + 3. Let w(p) = -2*p**3 - 6*p**2 - 4*p + 3. Calculate 4*m(j) - 3*w(j). -2*j**3 - 2*j**2 + 3 Let q(s) = 21*s**2 + 16*s. Let b(u) = 4*u**2 + 3*u. Suppose -88 = -8*f + 6*f. Suppose 5*k = k + f. Give k*b(n) - 2*q(n). 2*n**2 + n Let d(x) = -109*x. Let u(c) = 22*c. Calculate 2*d(g) + 11*u(g). 24*g Let g = -17 + 11. Let n(z) = -z - 1. Let s(y) = y + 1. Give g*s(c) - 5*n(c). -c - 1 Let n(m) = -m. Let p(f) = -f**3 + 3*f**2 - f + 6. Let o be p(4). Let k(z) = 8*z - 1. What is o*n(j) - 2*k(j)? -2*j + 2 Let m(i) be the second derivative of i**4/12 + 3*i**2 + 62*i. Let w(t) = -2*t**2 - 11. Let c be (4/2)/(4/14). Calculate c*m(a) + 4*w(a). -a**2 - 2 Let r(t) = 22 + t**2 - 40 + 17. Let s(w) = -6*w**2 + w + 6. Give 4*r(y) + s(y). -2*y**2 + y + 2 Let o(p) = -17*p**2 - 6*p + 5. Let h(b) = -9*b**2 - 3*b + 3. What is -5*h(t) + 3*o(t)? -6*t**2 - 3*t Let l(r) = r - 1. Let p(s) = -10*s + 5. Give -3*l(b) - p(b). 7*b - 2 Suppose 5*c = 3 + 7. Suppose -4*w = 8, -c*w + 1 = -0*d + 5*d. Let l(t) = t**3 + t + 1. Let n(i) = -3*i**3 - i - 3. Let m = -5 + 7. Give d*n(g) + m*l(g). -g**3 + g - 1 Suppose 3*s = -3*m - 45, 34 + 10 = -3*m - 2*s. Let p(a) = -8*a - 6. Let l(f) = -3*f - 2. Calculate m*l(v) + 5*p(v). 2*v - 2 Suppose 3*y = -w - 1 - 20, y + 7 = w. Let i(m) = -4*m**3 + m + 6. Suppose q - 4*t - 5 - 5 = 0, q - 2*t = 2. Let g(r) = 5*r**3 - r - 7. What is q*g(u) + y*i(u)? -2*u**3 - u Let p(g) = 5 - 26*g**2 - 22*g**2 + 2*g + 0*g + 47*g**2. Let x = -3 + 7. Let a(v) = -v**2 + 2*v + 4. Calculate x*p(b) - 5*a(b). b**2 - 2*b Let j(k) = -2*k - 19. Let s be j(-11). Let y(n) = 2*n**3 - 2*n**2 + 3*n - 3. Let t(g) = 4*g**3 - 5*g**2 + 7*g - 7. Determine s*t(a) - 7*y(a). -2*a**3 - a**2 Let h(q) be the second derivative of q**4/12 + 4*q**3/3 + 9*q**2/2 - 2*q. Let v be h(-7). Let n(o) = -3*o - 3. Let l(m) = -4*m - 4. Give v*l(u) - 3*n(u). u + 1 Let j(c) = 5*c + 2. Let r(t) = t**3 - 16*t - 7. Let m = -27 + 20. Determine m*j(u) - 2*r(u). -2*u**3 - 3*u Let k(t) = -t**2 + 2. Let n(h) = -h + 1. What is -k(g) + 2*n(g)? g**2 - 2*g Let r(i) = i**2 - 1. Let g(t) = -7*t**2 - 2*t + 2. Determine g(u) + 6*r(u). -u**2 - 2*u - 4 Let f(l) be the third derivative of -l**4/12 + l**3/2 - l**2. Let v(o) = 5*o - 5. Let n(d) = 10*d - 11. Let t(m) = 3*n(m) - 5*v(m). Give 8*f(q) + 3*t(q). -q Let c(v) = -17*v - 11. Let g = -17 - -28. Let w(h) = -9*h - 6. Give g*w(b) - 6*c(b). 3*b Let s(f) = 2*f**2 - 7. Let c(n) = n**3 - 3*n**2 + 6. Determine 3*c(y) + 4*s(y). 3*y**3 - y**2 - 10 Let f(q) be the first derivative of -q**2 - 4*q - 8. Let k(x) = 2*x + 5. Give -4*f(n) - 3*k(n). 2*n + 1 Let d(i) = 6*i**2 + 7. Suppose 2*q = -2*q - 20. Let b be 37/7 + 4/(-14). Let g(h) = h**2 + 5 - 2*h**2 + b*h**2. Determine q*d(y) + 7*g(y). -2*y**2 Let g(j) = -4*j**3 + 4*j**2 - 3*j. Let h(x) = x**3 + x**2 - x. Give g(m) - 3*h(m). -7*m**3 + m**2 Let t(f) = -2*f - 5. Let h(b) = b. What is -3*h(g) - t(g)? -g + 5 Let i(t) = -t + 1. Let w(p) = -11*p**3 - 5*p + 5. What is -5*i(o) + w(o)? -11*o**3 Let u(g) = 4 + 20*g**3 + 22*g**3 - 47*g**3. Let f(m) = -3*m**3 + 2. What is 5*f(j) - 2*u(j)? -5*j**3 + 2 Let q(b) = -4*b**3 + 2*b - 2. Let u(x) = 11*x - 21*x**3 + 24*x**2 + 3 - 14 - 24*x**2. Suppose 0 = 5*d - 2*t - 18, -t + 0 = 4*d - 4. Determine d*u(k) - 11*q(k). 2*k**3 Let f(d) be the first derivative of d**3/3 - d - 10. Let q(i) = i**3 - 2*i**2 + 5. Give -5*f(n) - q(n). -n**3 - 3*n**2 Let b(a) = 12. Let t(y) = -y + 1. What is -b(s) + 2*t(s)? -2*s - 10 Let f(d) = 32*d + 2. Let w(p) = 16*p + 1. What is -3*f(h) + 5*w(h)? -16*h - 1 Let h(d) = 9*d - 9. Let s(t) = 8*t - 9. Give 6*h(f) - 7*s(f). -2*f + 9 Let i(l) = -3*l**3 - 2*l**2 - l - 3. Let o(u) = -5*u**3 - 5*u**2 - u - 7. What is -5*i(d) + 2*o(d)? 5*d**3 + 3*d + 1 Let b(f) = -f. Let p(n) = -n**2 - 3*n - 1. Let j(w) = 2*b(w) - p(w). Let a(c) be the first derivative of -c**3 - c**2 - 3*c + 1. Give -a(t) - 2*j(t). t**2 + 1 Let n(s) = 35*s + 0 - s**2 - 37*s - 3 + 7. Let k(z) = -13 + 5*z + 54*z**2 + 2 - 51*z**2. What is -4*k(w) - 11*n(w)? -w**2 + 2*w Let x(r) = -4*r**2 - 5*r - 4. Let p(w) = 2*w**2 + 3*w + 2. Give -5*p(o) - 3*x(o). 2*o**2 + 2 Let z(x) = 10*x**3 - 90*x + 90. Let j(w) = w - 1. Calculate 360*j(g) + 4*z(g). 40*g**3 Suppose -15*r + 12*r = -3. Let w(j) = -j - 1. Let v(a) = 3*a + 6. Calculate r*v(m) + 5*w(m). -2*m + 1 Let h(l) = 16*l**2 - 11*l - 11. Suppose -1 = -5*a + 4, 0 = i + 2*a - 7. Let p = i + -3. Let r(c) = 5*c - 3*c**p + 2 + c - 4*c. Give -4*h(z) - 22*r(z). 2*z**2 Let p(y) = 3*y**3 + 10*y**2 + 6*y. Let b(s) = 9*s**3 + 29*s**2 + 17*s. Determine -6*b(r) + 17*p(r). -3*r**3 - 4*r**2 Suppose 0 = a + 4*a - 35. Let i be (-2)/a - (-26)/(-7). Let v(o) = 3*o**2 - 2*o + 4. Let l(n) = 0*n - 7*n**2 - 3 - 6 + 5*n. Calculate i*l(s) - 9*v(s). s**2 - 2*s Let a(f) be the first derivative of f - 1. Let p(x) = 95*x - 189*x + 97*x + 9 - 3. What is -6*a(g) + p(g)? 3*g Let u(h) = 4*h**3 + 2*h**2 - 3*h + 4. Let a(b) = -b**3 + b - 1. Give -6*a(t) - 2*u(t). -2*t**3 - 4*t**2 - 2 Let c(j) = 14*j + 151. Let r(f) = 5*f + 50. Determine -3*c(l) + 8*r(l). -2*l - 53 Let a(l) = -2*l**2 -
{ "pile_set_name": "DM Mathematics" }
e nd when two letters picked without replacement from xdnxxxn? 1/21 Two letters picked without replacement from abixvxbdaabdxddaa. What is prob of sequence da? 5/68 What is prob of sequence semm when four letters picked without replacement from msemesmeesemssesmmm? 21/1292 Two letters picked without replacement from {x: 13, r: 5}. What is prob of sequence xx? 26/51 Calculate prob of sequence lz when two letters picked without replacement from {t: 2, z: 2, l: 7, c: 3, x: 4}. 7/153 Four letters picked without replacement from {h: 2, m: 2}. Give prob of sequence mhmh. 1/6 Two letters picked without replacement from {r: 10, d: 1, e: 2, l: 4}. What is prob of sequence ll? 3/68 Three letters picked without replacement from {y: 6, e: 5, d: 4, x: 4, s: 1}. Give prob of sequence xey. 1/57 Three letters picked without replacement from {l: 5, o: 4, c: 3, h: 1, r: 1}. What is prob of sequence rco? 1/182 Four letters picked without replacement from rroo. Give prob of sequence rroo. 1/6 What is prob of sequence vpv when three letters picked without replacement from vvvvpvvvvvpvvvvp? 39/280 What is prob of sequence qnf when three letters picked without replacement from qxfqn? 1/30 What is prob of sequence kddk when four letters picked without replacement from {k: 3, d: 3}? 1/10 Calculate prob of sequence kl when two letters picked without replacement from aluqluikiill. 1/33 Calculate prob of sequence xx when two letters picked without replacement from {x: 7, e: 1, h: 2}. 7/15 Four letters picked without replacement from {m: 4, j: 2}. Give prob of sequence mmmm. 1/15 What is prob of sequence th when two letters picked without replacement from tkthzzpptpgpphz? 1/35 Four letters picked without replacement from {q: 12, l: 7}. What is prob of sequence qlqq? 385/3876 Three letters picked without replacement from dxrdrrrxdr. What is prob of sequence ddd? 1/120 Four letters picked without replacement from {f: 1, o: 7, q: 5}. Give prob of sequence qoqq. 7/286 What is prob of sequence yy when two letters picked without replacement from aqyqtqcqsays? 1/66 Calculate prob of sequence bz when two letters picked without replacement from {u: 1, b: 1, n: 4, z: 4}. 2/45 What is prob of sequence fff when three letters picked without replacement from {j: 1, f: 3, y: 2, p: 6, t: 2}? 1/364 What is prob of sequence yye when three letters picked without replacement from {z: 2, y: 8, k: 4, e: 3}? 7/170 Three letters picked without replacement from {l: 1, t: 2}. What is prob of sequence tlt? 1/3 What is prob of sequence uuu when three letters picked without replacement from {t: 1, w: 1, k: 1, u: 5, z: 1}? 5/42 What is prob of sequence yw when two letters picked without replacement from {y: 1, w: 1, r: 1, a: 1, q: 1}? 1/20 Four letters picked without replacement from {o: 5, v: 9}. Give prob of sequence oovo. 45/2002 Two letters picked without replacement from {u: 4, q: 2, k: 2, e: 1}. What is prob of sequence eq? 1/36 Three letters picked without replacement from ffynrryffyyrrn. Give prob of sequence nyr. 4/273 Calculate prob of sequence kctc when four letters picked without replacement from {k: 3, t: 6, w: 1, c: 3, j: 1}. 9/2002 Four letters picked without replacement from {z: 3, p: 5, f: 5}. Give prob of sequence pfpz. 5/286 What is prob of sequence osn when three letters picked without replacement from nssnnsnossssssno? 3/112 Four letters picked without replacement from wwwjwywjwjwjjcjjw. Give prob of sequence ycjj. 1/1360 Three letters picked without replacement from {p: 1, o: 2, a: 1}. Give prob of sequence aop. 1/12 Calculate prob of sequence ti when two letters picked without replacement from titimiittmimi. 2/13 Four letters picked without replacement from {h: 10, x: 2, m: 3}. Give prob of sequence xmmh. 1/273 Two letters picked without replacement from rpprfprporrrrfrof. What is prob of sequence fo? 3/136 Two letters picked without replacement from {i: 1, d: 1, e: 2, h: 2, m: 1, k: 2}. Give prob of sequence kd. 1/36 Two letters picked without replacement from xrcxch. What is prob of sequence rh? 1/30 What is prob of sequence fee when three letters picked without replacement from feyyle? 1/60 Two letters picked without replacement from axgiyxyxx. Give prob of sequence xx. 1/6 What is prob of sequence tpt when three letters picked without replacement from {p: 4, t: 8, v: 8}? 28/855 Calculate prob of sequence zt when two letters picked without replacement from {t: 1, z: 1, g: 9, m: 7}. 1/306 What is prob of sequence vneb when four letters picked without replacement from {e: 2, v: 1, b: 4, y: 4, n: 3, q: 3}? 1/2380 Three letters picked without replacement from {i: 11, m: 3, z: 4}. Give prob of sequence mzz. 1/136 What is prob of sequence tmi when three letters picked without replacement from ttmi? 1/12 Two letters picked without replacement from {u: 1, c: 2, q: 1, a: 1}. What is prob of sequence cc? 1/10 What is prob of sequence sh when two letters picked without replacement from {h: 2, s: 1, p: 3, g: 1, z: 5}? 1/66 What is prob of sequence oz when two letters picked without replacement from {i: 1, z: 1, g: 2, h: 1, o: 1, w: 1}? 1/42 Three letters picked without replacement from {e: 7, n: 3, q: 1, v: 2, f: 3, o: 1}. What is prob of sequence efq? 7/1360 Two letters picked without replacement from {y: 1, l: 2, z: 1, g: 2, s: 1, c: 1}. What is prob of sequence sy? 1/56 Three letters picked without replacement from lllllhllhlhlllrlr. Give prob of sequence hrl. 3/170 Four letters picked without replacement from {q: 3, j: 8, d: 2, z: 7}. What is prob of sequence zzjd? 28/4845 Four letters picked without replacement from {e: 7, i: 2}. Give prob of sequence iiee. 1/36 Two letters picked without replacement from qtggrrqtgjjgqtjrt. What is prob of sequence gg? 3/68 What is prob of sequence um when two letters picked without replacement from uubmbbbbububmuubuu? 8/153 What is prob of sequence hdd when three letters picked without replacement from djdddhhhdydty? 15/286 Two letters picked without replacement from ukduudkbbdkb. What is prob of sequence kk? 1/22 What is prob of sequence dccd when four letters picked without replacement from daacaaaaaddaaaaaac? 1/6120 Two letters picked without replacement from ffffgg. What is prob of sequence gg? 1/15 Four letters picked without replacement from {z: 5, k: 6, l: 2, x: 2, n: 3}. Give prob of sequence xzzk. 1/306 Calculate prob of sequence zc when two letters picked without replacement from {z: 13, h: 3, c: 1}. 13/272 Calculate prob of sequence vev when three letters picked without replacement from eeeveeveveveeeeveev. 65/969 Calculate prob of sequence hl when two letters picked without replacement from {q: 4, l: 1, h: 2, b: 11, o: 1}. 1/171 Two letters picked without replacement from owwzmwruuurrrzo. Give prob of sequence ww. 1/35 Calculate prob of sequence wbfw when four letters picked without replacement from fwwwwpbwwwffbfbffbb. 35/2584 Three letters picked without replacement from rxfrrrrxxfrrfxfxxx. What is prob of sequence rfr? 7/204 What is prob of sequence apas when four letters picked without replacement from {a: 6, p: 3, s: 6}? 3/182 Three letters picked without replacement from {e: 4, j: 1, s: 3, o: 3}. Give prob of sequence sjs. 1/165 What is prob of sequence hp when two letters picked without replacement from {s: 5, j: 2, h: 8, w: 2, p: 2}? 8/171 Four letters picked without replacement from ykkyyy. What is prob of sequence kyky? 1/15 What is prob of sequence wrwr when four letters picked without replacement from wrwwwrwwqwrwwcqqrrww? 55/2907 Two letters picked without replacement from {g: 4, x: 3, h: 3, i: 1}. Give prob of sequence xi. 3/110 Calculate prob of sequence pp when two letters picked without replacement from pppp. 1 What is prob of sequence odo when three letters picked without replacement from {v: 1, d: 6, o: 5, j: 2, e: 1}? 4/91 What is prob of sequence fiii when four letters picked without replacement from iiifiiiiiiiiifiiiii? 5/57 Calculate prob of sequence uqq when three letters picked without replacement from {q: 5, r: 1, u: 4}. 1/9 Calculate prob of sequence qqbu when four letters picked without replacement from uutqbqqtbtq. 1/165 Calculate prob of sequence dtes when four letters picked without replacement from t
{ "pile_set_name": "DM Mathematics" }
= 3*v, 3*v + 3 = 457*s - 456*s. Factor 1/2 - 1/2*n**2 + v*n. -(n - 1)*(n + 1)/2 Let l = 79/651 - -2/93. Let d(o) = -653*o + 655. Let p be d(1). Determine t so that -3*t**3 + 9/7*t**4 + 9/7*t + l*t**p + 2/7 = 0. -1/3, 1, 2 Let d(j) be the second derivative of 0 + 22*j + 1/3*j**4 + 2/3*j**6 + 4/21*j**7 + 0*j**2 + 4/5*j**5 + 0*j**3. Factor d(s). 4*s**2*(s + 1)**2*(2*s + 1) Let w be ((-1 - -5)*1 - 5)*-5. Factor -8*m - 12*m**3 - 22*m**2 + 46*m**2 - 14*m**3 + 12*m**4 - 2*m**w. -2*m*(m - 2)**2*(m - 1)**2 Let v(r) = 2*r**5 + 40*r**4 - 330*r**3 + 480*r**2 - 4*r - 4. Let o(h) = -h**5 + 2*h**4 + h**2 + h + 1. Let m(q) = 4*o(q) + v(q). What is k in m(k) = 0? 0, 2, 11 Let o(g) be the third derivative of g**5/15 + 13*g**4/48 - g**3/2 + g**2 - 6. Solve o(z) = 0. -2, 3/8 Let k be (-37)/7 - (12/7 + -2). Let s be (k - -6)*0/(2/(-2)). Let 0*z**2 - 4/3*z**4 - 2/3*z**5 - 2/3*z**3 + 0 + s*z = 0. Calculate z. -1, 0 Let z(b) be the third derivative of 17*b**2 + 0 + 5/2*b**4 + 2*b**3 + 0*b + 5/4*b**5. Let z(f) = 0. What is f? -2/5 Let y(i) = -9*i**3 + 48*i**2 - 123*i + 2. Let b(v) = -38*v**3 + 191*v**2 - 491*v + 9. Let j(c) = -2*b(c) + 9*y(c). Let j(x) = 0. What is x? 0, 5 Let u(z) be the first derivative of -1/2*z**4 + z**2 + 3 - 2/5*z**5 + 2/3*z**3 + 0*z. Let u(g) = 0. What is g? -1, 0, 1 Let n be (-16)/(-3) + (-2)/6. Suppose -6*z + n*z = -4. Factor 52*a**3 - 8*a + 16*a**z - a**2 + 4 - 11*a**2 - 36*a**3. 4*(a + 1)**2*(2*a - 1)**2 Factor -6*u**2 + 0*u**2 - 11745 - 2835 + 540*u - 2*u**2 + 3*u**2. -5*(u - 54)**2 Find a such that 2/7*a**3 - 2/7*a + 24/7*a**2 - 24/7 = 0. -12, -1, 1 Let h(g) be the third derivative of -g**7/42 + 3*g**6/8 - 5*g**5/4 + 35*g**4/24 + 2*g**2 + 105*g. Determine s, given that h(s) = 0. 0, 1, 7 Let l be (-2)/4 - (-11)/(-2)*-3. Determine a so that -120*a**3 - 2*a**5 + l*a**3 - 25 - 63*a**2 - 110*a - 103*a**2 - 25*a**4 = 0. -5, -1, -1/2 Let m(h) = -12*h**3 - 28*h**2 - 16. Let a(f) = -16*f**2 + 2 - f - 1 + 17*f**2 + f**3. Let r(y) = -16*a(y) - m(y). Determine n so that r(n) = 0. -1, 0, 4 Solve 28*n**3 - 168/5 + 20*n + 80*n**2 + 8/5*n**4 = 0 for n. -14, -3, -1, 1/2 Let g(r) be the first derivative of 3*r**5/40 - 3*r**4/8 - r**3/4 + 9*r**2/4 - 4*r + 2. Let q(z) be the first derivative of g(z). Solve q(v) = 0 for v. -1, 1, 3 Solve -25 - 7*k**2 + 10*k + k**2 + 9*k**2 - 4*k**2 = 0 for k. 5 Let p(m) be the first derivative of -m**6/4 - 27*m**5/5 - 51*m**4/8 - 369. Factor p(l). -3*l**3*(l + 1)*(l + 17)/2 Let v(i) = -i**2 + 20*i - 12. Let f be v(11). Suppose -3*w - f = 2*y - 7*y, -5*y + 85 = -5*w. Let 12*a**3 + 2*a**4 + 1 - 1 + y*a**2 = 0. Calculate a. -3, 0 Factor 0 - 4*p**3 + 0*p + 4/7*p**4 + 24/7*p**2. 4*p**2*(p - 6)*(p - 1)/7 Suppose 0 = -4*f - 3*x + 144 + 25, -2*x = 2*f - 86. Let o = f - 118/3. Find k, given that -o*k - 1/3 - 1/3*k**2 = 0. -1 Let c be 12/8*22/(-330)*(0 - 2). Let z = 1 - 1. Factor -1/5*d**3 + 1/5*d**4 - c*d**2 + z + 1/5*d. d*(d - 1)**2*(d + 1)/5 Let z be (-2 - -1 - -13) + 4/(-2). Suppose 0*m = 5*m - z. Factor 2 - 9/2*k**m - 11/4*k**3 - 1/2*k**4 - k. -(k + 2)**3*(2*k - 1)/4 Let c(l) be the second derivative of l**6/30 - 9*l**5/20 + 5*l**4/2 - 22*l**3/3 + 12*l**2 + 147*l. Factor c(h). (h - 3)*(h - 2)**3 Suppose -5*u - 2*m = -15, 4*u + 2*m = 13 - 1. Factor -29*w**u + 20*w**2 + 57*w**3 - 33*w**3. -5*w**2*(w - 4) Let g be (0/(-2))/(369/41). Factor g - 4*j**3 - 16/3*j - 32/3*j**2. -4*j*(j + 2)*(3*j + 2)/3 Let q = -3501/28 - -507/4. Suppose h**5 + 0 + 3/7*h**3 + q*h**4 - 2/7*h**2 + 0*h = 0. Calculate h. -1, 0, 2/7 Let u = -53 - -55. Factor -5*l**3 + 5*l**2 + 6*l**u + 5*l + 9*l**2 + 11*l**4 - 31*l**4. -5*l*(l - 1)*(l + 1)*(4*l + 1) Factor 5*s - 10/3 - 5/3*s**2. -5*(s - 2)*(s - 1)/3 Let q(y) be the first derivative of y**6/12 + 9*y**5/10 - 21*y**4/8 + 11*y**3/6 + 301. Factor q(o). o**2*(o - 1)**2*(o + 11)/2 Let i be -6*(-4)/(16/(-6)) - -2. Let p(c) = c**2 + 4*c - 19. Let g be p(i). Let 0*v + 0 + 2/9*v**4 - 4/9*v**3 + 2/9*v**g = 0. Calculate v. 0, 1 Let d be (34/(-561))/(1/(-11)). Factor 0 - 2*o**3 - d*o**4 - 2/3*o - 2*o**2. -2*o*(o + 1)**3/3 Let o(x) be the third derivative of x**7/21 - 11*x**6/10 + 13*x**5/30 + 329*x**2. Factor o(g). 2*g**2*(g - 13)*(5*g - 1) Factor -14/19 + 2/19*d**2 - 12/19*d. 2*(d - 7)*(d + 1)/19 Suppose o - 3*o = -o. Let f(h) be the second derivative of o + 7/9*h**3 + 1/9*h**4 + 3*h + h**2. Factor f(m). 2*(m + 3)*(2*m + 1)/3 Let q be (-110)/(-275) - 4/((-40)/26). Factor 1/3*m**2 + m**q - m - 1/3. (m - 1)*(m + 1)*(3*m + 1)/3 Suppose -4*u - 12 + 48 = 0. Let 21*y**3 + 36*y**2 + u + 3*y**4 - 33*y + 3*y - 39*y**3 = 0. What is y? 1, 3 Let g(n) be the second derivative of -n**4/36 + 7*n**3/18 - 2*n**2 - 18*n + 1. What is q in g(q) = 0? 3, 4 Let f(w) be the third derivative of 1/24*w**3 + 0*w + 0 - 1/64*w**4 - 22*w**2 + 1/960*w**6 + 0*w**5. Solve f(h) = 0 for h. -2, 1 Let u(h) be the second derivative of 0*h**2 - 1/8*h**4 - 9*h + 0 - 1/4*h**3. Factor u(l). -3*l*(l + 1)/2 Let h(a) = -a**3 - a**2. Let p(m) = m**4 + 5*m**3 - 9*m**2 - 25*m - 12. Let b(c) = 4*h(c) + p(c). Factor b(z). (z - 4)*(z + 1)**2*(z + 3) Let n(j) be the second derivative of j**5/20 + 13*j**4/12 + 17*j**3/2 + 63*j**2/2 - 44*j. Factor n(c). (c + 3)**2*(c + 7) Let t(v) be the first derivative of v**7/42 - v**5/20 - 3*v - 13. Let d(a) be the first derivative of t(a). Factor d(z). z**3*(z - 1)*(z + 1) Let p(g) be the third derivative of -g**6/30 + 4*g**5/5 - 8*g**4 + 128*g**3/3 - 68*g**2. Factor p(q). -4*(q - 4)**3 Solve -13*s**3 - 6*s**5 - 15*s - 57*s**2 + 57*s**4 + 12*s**3 + 31*s + 11*s - 20*s**3 = 0 for s. -1, 0, 1/2, 1, 9 Let w = 10493 - 10491. Factor 6/7 + 4/7*c**w - 2*c. 2*(c - 3)*(2*c - 1)/7 Let w be 1/((1/3)/(10/6)). Factor -5 + 7*y**3 + w - 3*y**3 + 8*y**2. 4*y**2*(y + 2) Let z(o) = 4*o**2 - 4 + 3*o**3 - 8*o**3 + 2*o - o**3. Let w(n) = 11*n**3 - 7*n + 3*n + 2 + 6 - 8*n**2. Let x(m) = 4*w(m) + 7*z(m). Solve x(q) = 0 for q. -1, 1, 2 Suppose 33*p - 11*p - 110 = 0. Let y(l) be the second derivative of 0*l**2 - 9*l - 1/6*l**3 + 0*l**p + 0 - 1/60*l**6 + 1/8*l**4. Suppose y(d) = 0. What is d? -2, 0, 1 Let y(l) be the first derivative of -3*l**5/5 + 39*l**4/4 - 33*l**3 + 93*l**2/2 - 30*l - 273. Let y(q) = 0. What is q? 1, 10 Suppose 660/23*r**2 - 62/23*r**3 - 2600/23*r + 2000/23 + 2/23*r**4 = 0. Calculate r. 1, 10 Find v, given that 147/2 - 45/2*v**4 + 93*v**3 - 189/2*v - 51*v**2 + 3/2*v**5 = 0. -1, 1, 7 Let a(t) be the first derivative of t**5/60 - 5*t**4/24 + t**3 + 7*t**2/2 + 10. Let d(p) be the second derivative of a(p). Let d(g) = 0. What is g? 2, 3 Factor 885*v - 3*v**3 - 49*v**2 + 7*v**2 - 984*v. -3*v*(v + 3)*(v + 11) Suppose -2*o = -5*w - 3 - 65, 4*w + 170 = 5*o. Let r = -20 + o. Find d such that 6*d**3 - 3 + r*d - 9*d**2 - 1 - 7*d**2 = 0. 2/3, 1 Let a(m) be the third derivative of -m**5/12 - 65*m**4/24 + 25*m**3 - 152*m**2. Find z such that a(z) = 0. -15, 2 Let k(i) be the second derivative of -i**6/30 + i**5/10 + 19*i**4/12 + 14*i**3/3 + 6*i**2 - 3*i. Factor k(h). -(h - 6)*(h + 1)**2*(h + 2) Let d be (-4 - (-145)/25)/(2/(-10)). Let z be (-112)/(-630) - 2/d. Solve -z*v**2 - 8/5*v - 8/5 = 0 for v. -2 Suppose 0 = 3*b - 58*v + 60*v + 12, 3*b - 4*v - 24 = 0. What is g in -g**5 - g**2 + b*g + 0 + 7/3*g**4 + 7/3*g**3 = 0? -1, 0, 1/3, 3 Let f(h) be the second derivative of -5*h**4/12 + 5*h**3/6 - 8*h. Factor f(s). -5*s*(s - 1) Let h(x) = 10*x**3 - 5*x**2 - 20*x - 5. Let q(b) = -11*b**2 - 1 + 10*b**2 + 0*b**2 + b**3. Let u(w) = -h(w) + 5*q(w). Suppose u(y) = 0. Calculate y. -2, 0, 2 Suppose -2*v + 3*v = 11. Find w such that -6*w**5 - 9*w**3 + v*w**3 + w**2 - 11*w**2 + 4*w + 10*w**4 = 0. -1, 0, 2/3, 1 Suppose -2*y + 6 = -4*y. Let f be y/(-6)*10 - 3. Find k such that 48*k**3 + 40*k**2 + 12*k + 24*k**4 + 0*k**5 + 2*k**5 + f*k**5 = 0. -3, -1, 0 Suppose -516*v = -513*v + 6. Let l be v/12 + 4*(-114)/(-144). Solve 2*a**4 - 2/3*a**l + 2/3*a - 2*a**2 + 0 = 0. -1, 0, 1/3, 1 Suppose -g = -457 + 461, -3*v + 16 = -4*g. Factor -2*b + 10*b**2 + v - 9/2*b**3. -b*(b - 2)*(9*b - 2)/2 Let n(u) be the third derivative of -7*u**2 + 0*u - 1/72*u**4 + 1/9*u**3 + 0 - 1/180*u**5. Factor n(c). -(c - 1)*(c + 2)/3 Factor -165/4*j - 21/2 + 3*j**2. 3*(j - 14)*(4*j + 1)/4 Let a be -135*2/(-24) + -9. Solve 1/4*x**3 - a*x**2 - 27/4 + 27/4*x = 0. 3 Solve 4*t**2 + 2*t**4 + 6*t**3 + 7*t**4 - 8*t*
{ "pile_set_name": "DM Mathematics" }
divisor of 40 and i? 40 Suppose 3*n = 2*n + 37. Suppose -6 = -2*f + 5*f, 5*c + 4*f = n. Suppose 5*k - 242 = -17. What is the highest common factor of c and k? 9 Suppose 3*s = -2*u, 4 = -4*u + s - 5*s. Let b be u + 2 - 7*-49. Suppose -6*j + 3*x + b = -j, -4*j - x + 260 = 0. What is the greatest common factor of j and 6? 6 Let k(m) = m**3 - 19*m**2 - 14*m + 12. Let v be k(20). Calculate the highest common divisor of v and 12. 12 Let r be (2/(-4))/(3/36). Let w = 15 + -4. Let s = w + r. Calculate the highest common divisor of s and 25. 5 Let v = -114 - -120. What is the greatest common divisor of 48 and v? 6 Let p = 32 + -30. What is the greatest common divisor of 3 and p? 1 Let o = 3 + 0. Suppose -9 = -o*a + 2*a - u, 12 = 3*a - 2*u. Suppose -120 = a*x - 9*x. Calculate the highest common factor of 10 and x. 10 Let t be 133/(-14) - (-1)/2. Let f = 13 + t. Let w(d) = -d**3 + 6*d**2 - 5*d. Let c be w(f). What is the greatest common factor of 60 and c? 12 Let d(t) = -9*t**3 + 0 + 10*t**3 + 8*t**2 + 1 + 4*t. Let y be d(-5). Calculate the highest common factor of y and 14. 14 Let i be (24/15)/2*5. Suppose 2*y + i = 34. What is the greatest common divisor of y and 30? 15 Let u = 13 + -9. Suppose -3*h + 4*h - 217 = -2*z, u*z + 5*h = 437. Suppose -62 = -5*r + w, r + 2 - 8 = -3*w. What is the highest common divisor of z and r? 12 Let p = 26 - 24. Suppose 2*i = -3*i + 15. Let c(q) = 3*q - 4. Let t be c(i). What is the greatest common factor of p and t? 1 Let i(w) = -12*w - 1. Let f be i(-3). Suppose -2*d - 2*d = -144. Let x = d + -22. Calculate the greatest common factor of f and x. 7 Suppose 93 = 4*g + 5*k, -2*g + 13 = 3*k - 34. Calculate the greatest common divisor of g and 22. 22 Let r be 2/((18/21)/3). Let w(t) = -2 + 4*t**2 + 3*t**2 - 9*t - 5*t**2. Let d be w(r). What is the greatest common factor of d and 22? 11 Let g be (-10)/10*(-15 - 1). Let i = -27 - -43. Calculate the highest common divisor of i and g. 16 Let u(c) = -c**3 - 7*c**2 + 6*c - 4. Let g be u(-6). Let t be 6/(-9) + g/(-6). Let h = -1 - -7. Calculate the greatest common divisor of h and t. 6 Suppose 4*k + 4*g - 27 = -k, k - g = 0. Suppose -k*l - l + 28 = 0. Let f be (-4)/10*(-73 - -3). Calculate the highest common divisor of f and l. 7 Let c be 1 - (-2 + 1) - 2. Suppose 2*a = -c*a + 6. Suppose a*l - 17 = 13. Calculate the greatest common factor of 20 and l. 10 Suppose 2*k = 8 + 28. What is the highest common divisor of k and 198? 18 Suppose -7*i = -6*i - 20. Suppose -150 = -8*q + 3*q. Calculate the greatest common factor of q and i. 10 Suppose -5*o = 4*o. Suppose 2*r + 2 - 1 = a, -3*r = -4*a + 4. Suppose o*f + 3*f - 252 = r. What is the greatest common divisor of 12 and f? 12 Suppose s = 2*s - 3. Suppose u - s*q - 20 = 0, -5*q + 3*q + 38 = 3*u. Let g be 2/1*2/2. Calculate the greatest common divisor of g and u. 2 Suppose 6*m - 803 = 277. Let w be 1*((1 - 0) + 0). Let n be (m/35)/(w/14). What is the highest common divisor of 18 and n? 18 Suppose -k = 3*r - 52 + 20, -5*r = 5. Suppose 3*p + 5 - k = 0. Let q be (-3 - 2 - -10) + 85. Calculate the greatest common divisor of p and q. 10 Suppose 3*q = -v, 2*v + 10 = -3*q + 2*q. Let t(u) = -u**3 - 6*u**2 - 3*u - 6. Let b be t(v). What is the greatest common divisor of 108 and b? 12 Let l(h) = -h**3 + 14*h**2 + 9*h + 19. Let d be l(14). Let i be (0 - -2) + -3 + d. What is the greatest common factor of i and 18? 18 Let b(g) = g + 3. Let r be b(7). Calculate the highest common divisor of 2 and r. 2 Let h(d) = -d**3 + 8*d**2 + 4*d + 8. Let i be h(8). What is the highest common factor of i and 60? 20 Suppose 2*v + v = 15. Let q be 90*(-15)/(-12)*(-4)/(-10). Calculate the greatest common factor of q and v. 5 Let w(a) = 3*a - 1. Let l be w(3). Let h = 15 - l. Calculate the greatest common factor of 56 and h. 7 Suppose 0 = -10*l + 5*l + 520. Calculate the greatest common factor of l and 13. 13 Suppose y - 72 = -x, 3*y - 5*y = 10. Let f be (-1)/3 + 68/6. Calculate the highest common divisor of x and f. 11 Suppose j + 32 = 5*j - o, -1 = -3*j - 5*o. Calculate the greatest common divisor of j and 77. 7 Suppose -7*b - 2 = -8*b. Let q be 3/2 + (-1)/(-2). Calculate the greatest common divisor of b and q. 2 Suppose 0 = 55*p - 60*p + 80. Calculate the highest common divisor of p and 56. 8 Let a(x) = -15*x + 3. Let i be a(-2). What is the highest common divisor of i and 11? 11 Suppose -u + 8 = 3*k, -3*k + 4*u = -u + 4. Suppose -2*p + k*b + 12 = 0, 3*p - 11 - 23 = -b. Calculate the highest common factor of 2 and p. 2 Suppose -2*u = 3*u + 40. Let b = -6 - u. Suppose 3*r - 74 = -b*y + 18, 4*y - 164 = -r. What is the highest common divisor of 8 and y? 8 Let c(s) = s**3 + 3*s**2 - 3*s + 2. Let b be c(-3). What is the highest common divisor of 22 and b? 11 Suppose -m = -2*h - 3*h + 8, -2*m - 2*h = -20. Calculate the greatest common factor of 56 and m. 7 Let q be 12*1/(-3)*-2. What is the highest common divisor of 56 and q? 8 Suppose -d + 42 = 2*o + 7, 0 = -5*o - 10. Calculate the greatest common factor of d and 39. 39 Let t(w) = -4*w - 5. Let x be t(-5). Suppose -4*d - x = -9*d. Suppose d*k - 6*k + 234 = 0. Calculate the greatest common divisor of k and 52. 26 Let p(o) = -2*o**2 - 13*o + 5. Let n be p(-6). What is the highest common factor of n and 143? 11 Suppose -k + 1 = -2. Calculate the highest common divisor of 1 and k. 1 Let k = -172 + 292. Calculate the greatest common factor of 30 and k. 30 Suppose m - 4*m = 951. Let b = -196 - m. Let i(c) = c + 3. Let g be i(8). Calculate the highest common factor of g and b. 11 Suppose 4*b - 391 - 577 = 0. What is the highest common factor of 22 and b? 22 Let s(v) = -v**3 - 8*v**2 + 8*v - 8. Let x be s(-9). What is the highest common divisor of 7 and x? 1 Suppose 3*i + 6 = 5*i. Suppose i*v - 25 = 20. Calculate the highest common divisor of 10 and v. 5 Suppose -2*c + 0*c = -40. Suppose -4*k + c = k. Calculate the highest common divisor of 32 and k. 4 Suppose 0 = u - 4*u + 12. Suppose -q + n + 4 = -0*q, 0 = -u*n + 12. Suppose 4*o - f = 227, 2*f + 6 + 0 = 0. What is the highest common divisor of q and o? 7 Suppose 89 = 5*z - 3*t, -3*z - 9 = 2*t - 51. What is the greatest common factor of 4 and z? 4 Suppose -6*g = -3*g - 24. Let i = 11 - g. Let a(q) = -q**2 + 5*q - 2. Let n be a(4). What is the highest common divisor of i and n? 1 Let f be (27/(-12))/((-1)/24). Let o(i) = 2*i - 10. Let s be o(8). Calculate the greatest common factor of s and f. 6 Suppose 4*m + 184 = 2*x, -3*x - 2*x + 436 = -4*m. Let d(g) = g**2 + 4*g - 9. Let k be d(-7). What is the greatest common factor of x and k? 12 Suppose 0 = 31*b - 435 - 123. Let h(k) = k**2 - 2*k + 4. Let w be h(4). What is the greatest common divisor of b and w? 6 Let v be 5*(-12)/30*-1. Calculate the greatest common factor of v and 1. 1 Let t = 22 + -3. What is the greatest common divisor of t and 171? 19 Suppose -2*h + 58 + 14 = v, 0 = 4*h - v - 138. Calculate the highest common factor of h and 350. 35 Let d be ((-11)/(-2))/(-1)*-18. Suppose 0 = 3*s + s + 3*l - 24, -s + 2*l = -6. Let n be (s + -7)/(1/(-9)). What is the highest common divisor of n and d? 9 Let c = -25 + 27. Let u be (2 + (-2 - 0))/1. Suppose -l - 4*v = -14, u*l - 106 = -5*l - 2*v. What is the greatest common factor of l and c? 2 Suppose 2*n + 4*j + 0 = -8, -10 = -4*n + 5*j. Suppose n = -3*x - 0*x + 84. What is the highest common divisor of x and 7? 7 Suppose -4*l = -151 - 5. What is the greatest common factor of 65 and l? 13 Let q(j) = j**3 - 7*j**2 + 6*j - 14. Let t be q(7). Calculate the greatest common divisor of 224 and t. 28 Let g be (-4)/(-6)*33/2. Calculate the highest common factor of g and 77. 11 Suppose -2*j - 3*j = -30. Suppose -j*o + 306 = -4*o. Let q be -1*(-17 + (0 - 0)). What is the highest common factor of q and o? 17 Let r = -7 + 8. What is the highest common factor of 5 and r? 1 Let b(i) = i**2 + i + 3. Let p be b(-6). Suppose -3*c = g + 2 - 23, -3*c = 3*g - p. Calculate the greatest common divisor of g and 12. 6 Let m be ((-88)/(-5))/(2*2/10). Let t(b) = b**2 - b - 1. Let a be t(-3). What is the highest common divisor of m and a? 11 Let s(n) = -n**3 + 5*n**2 - 5*n + 2. Let c be s(3). Suppose -r + c*r = 160. What is the greatest common divisor of r and 10? 10 Suppose -3*p - 107 = -2*u, -3*u + 6*u
{ "pile_set_name": "DM Mathematics" }
ghest common factor of c and n? 6 Let y be ((-6)/(-8))/((-1)/(-120)). Calculate the greatest common factor of 135 and y. 45 Let f = 34 - -72. Suppose -k + 5*s = -72, -5*s - f + 469 = 4*k. Suppose k + 13 = 2*t. What is the highest common divisor of 10 and t? 10 Let a be -7*(120/28 + -5). Let g(v) = -v + 40. Let d be g(0). What is the greatest common factor of a and d? 5 Suppose 3*t + 7 = -5*c + 92, 5*t - 3*c - 187 = 0. Calculate the greatest common divisor of t and 105. 35 Suppose 2*u = 4*u - 190. Let p be 399/7*1/3. Calculate the highest common factor of p and u. 19 Let w(s) = 11*s - 5*s + s + 4*s**2 + 1 - s**3. Let p be w(5). Calculate the highest common factor of p and 121. 11 Let m(z) = 17*z - 21. Let v be m(3). Calculate the highest common divisor of 6 and v. 6 Let o be 3 - -29 - 2/(-2). Suppose 0 = 5*w + 8 - o. Suppose 5*h - 48 = s, 0*s + 3*s - 56 = -w*h. What is the highest common factor of h and 20? 10 Let w(p) = p**3 - 10*p**2 + 7*p - 25. Let r be w(10). Calculate the greatest common divisor of 15 and r. 15 Let z(q) = -2*q**3 - 3*q**2 - q + 3*q**3 + q**2 + 3 - q. Let n be z(3). Calculate the greatest common factor of 66 and n. 6 Let o = 1 + -7. Let w be o/4*336/(-9). Suppose -11 = 3*y - w. Calculate the highest common factor of y and 45. 15 Let i = 3 + 150. Calculate the highest common divisor of i and 17. 17 Let n = -17 - -21. What is the greatest common divisor of n and 1? 1 Let q be (-7 - -4)*(-2)/(-3). Let w(t) = 30*t**2 - 3*t - 1. Let d be w(q). Let s = d - 8. What is the greatest common divisor of 13 and s? 13 Let y(d) = 121*d - 2. Let f be y(1). Calculate the greatest common factor of f and 17. 17 Let s = 31 + -15. Suppose 5*t = 3*t + 4*d + 16, 0 = 2*t + 5*d - s. Suppose 28 = 4*x - 52. Calculate the highest common factor of t and x. 4 Suppose -5*p + 2*s - 54 = 0, -5*p + 3*s - 15 = 36. Let r be ((-102)/p)/(3/6). Calculate the highest common factor of 119 and r. 17 Let r = 5 - 9. Let w(y) = y**3 + 6*y**2 + 5*y + 6. Let f be w(r). What is the highest common factor of 45 and f? 9 Let v(o) = 1 - 2 + 1 + 4 - 11*o. Let k be v(-6). Calculate the greatest common factor of k and 10. 10 Let d = 10 + -9. What is the greatest common factor of 11 and d? 1 Suppose 3*c = d - 13, -3*c = -4*d + 1 - 3. Let i be 4/(-5)*45/c. Suppose -3*y + 8*y - 210 = 0. Calculate the greatest common divisor of y and i. 6 Let w = 15 + -32. Let c = -9 - w. What is the greatest common divisor of 20 and c? 4 Let l(s) = 2*s**2 - 7*s - 5. Let y be l(6). Suppose -q = -2*w + 65, -4*q - y = q. What is the greatest common factor of w and 5? 5 Let x be (-2)/10 + (-363)/(-15). What is the highest common factor of x and 3? 3 Let w be 1 - (-222)/5 - 2/5. Calculate the greatest common divisor of 90 and w. 45 Let j(l) = 6*l + 14. Let o(z) = z + 1. Let b(u) = -j(u) + 5*o(u). Let k be b(-8). Let q be k/(4/(-10))*2. Calculate the highest common factor of 40 and q. 5 Let s(v) = 10*v**2 + v. Let i be s(-1). What is the greatest common divisor of 3 and i? 3 Let s be 5/(-2)*(1 - 3). Suppose 0 = j + 5, -s*j - 1 = 4*r - 0. Suppose -5*z = -96 - 54. What is the greatest common factor of z and r? 6 Let w(x) = -17*x - 1. Let u be w(-2). Suppose -52 = -5*j + s, 0*j - 2*j - 5*s + 37 = 0. Calculate the highest common factor of u and j. 11 Suppose -68 - 22 = -5*t. Let h(r) = r**2 + 2*r + 6. Let d be h(-8). What is the greatest common divisor of t and d? 18 Let m be (-3 + 1 - -133) + 1. Suppose -5*o + 224 = l, 2*l - m = -3*o - l. What is the highest common divisor of o and 5? 5 Suppose 4*y = 2*z - z - 7, 3*z + 2*y - 49 = 0. Let r = 8 + -5. Calculate the greatest common divisor of z and r. 3 Let a(r) = -r**2 + 18*r - 9. Let c be a(13). What is the highest common factor of 14 and c? 14 Let h be 3/3 + 1 + -2. Suppose h = -5*d + 5*w - 280, 0*w + 4*w = -16. Let a be (0 - 7)/(3/d). Calculate the greatest common divisor of a and 14. 14 Let f be -2*(-25)/(-2)*-3. Let c be (2 - -16)*(-25)/10. Let q = 75 + c. What is the highest common factor of q and f? 15 Let a(j) = 12*j + 45. Let s be a(9). What is the highest common factor of s and 17? 17 Let m(v) = 4*v - 58. Let y be m(16). What is the highest common divisor of y and 15? 3 Let y(k) = -45*k. Let q be y(-1). Suppose 2*i + q = 5*i. Calculate the highest common divisor of 105 and i. 15 Suppose g + 3*z + 13 = 0, 4*z - 1 = -13. Let w be (0 + -1)/(3 + g). Calculate the highest common divisor of w and 4. 1 Let h be 6 + -11 + 6 - 9/(-1). What is the highest common factor of 40 and h? 10 Let b be (32/24)/(2/147). What is the greatest common factor of b and 14? 14 Let s(x) = -4*x**2 + 5*x**2 + 3 + 0 - 10*x. Let k be s(7). Let u = 38 + k. Calculate the highest common factor of u and 80. 20 Let i(h) = h**3 - 7*h**2 - h + 6. Let n be i(7). Let w be (-3 + (-30 - n))/(-2). What is the greatest common factor of 32 and w? 16 Suppose -2*k + 16 = -j, 3*j - 3*k = 5*j + 4. Let w(o) = o**2 + 5*o - 11. Let y be w(j). Let i = 1 + y. Calculate the highest common factor of 28 and i. 14 Let j(b) = 3*b + 3. Let u be j(-3). Let d be ((-4)/u)/((-6)/(-99)). Calculate the highest common divisor of d and 11. 11 Suppose 3*i = 5*o + 144, -2*i + o - 48 = -144. Calculate the greatest common factor of i and 120. 24 Let t(w) = 23*w**2. Let q be t(3). Let a = 175 - 152. Calculate the greatest common factor of q and a. 23 Suppose 0 = -3*d + 4*a + 17, 4*d - d = 3*a + 18. Let f = 6 - 3. Suppose f*p - 12 = 9. What is the greatest common factor of p and d? 7 Suppose -2*s + 8 = -0. Let m be ((-2)/5)/(1/(-10)). What is the highest common divisor of s and m? 4 Let z = 27 + 12. Suppose 0 = 3*d, -4*d = -t + d - 9. Let n be 4/(-3) - 129/t. Calculate the highest common factor of z and n. 13 Let i be (75 - 1)/2 + -2. What is the highest common divisor of i and 5? 5 Suppose 5*b - 355 = -5*i + i, 0 = i - 4*b - 115. Calculate the greatest common factor of 19 and i. 19 Suppose 264 = 3*w + z, w - 3*z = -6*z + 88. What is the greatest common factor of 11 and w? 11 Let d be 24/36*(-39)/(-2). What is the greatest common factor of d and 13? 13 Suppose f + 30 = 2*f. Suppose 2 = -2*q + 3*v + 11, q + 5*v + 2 = 0. Suppose 5*l - 53 = -k, l - 4 = 3*k - q. Calculate the highest common divisor of f and l. 10 Suppose -3*t = 4*s - 8*t - 28, 14 = 2*s + 4*t. Suppose -362 = -4*w + j, 2*w + 460 = s*w - 5*j. What is the greatest common divisor of w and 36? 18 Suppose -90 = -2*j - 4*v, -2*j = -4*v - 46 - 76. Let z = 10 + j. Calculate the highest common factor of 7 and z. 7 Suppose 4*r + 34 = 2*r. Let k be (-1 - -2 - r) + 2. What is the greatest common factor of 2 and k? 2 Suppose 3*y - 42 = 3*t, -2*y = 2*t - 17 - 3. What is the highest common factor of 156 and y? 12 Let g = 114 - 79. Calculate the greatest common divisor of g and 14. 7 Let b(p) = p - 1. Let t be b(1). Suppose -4*g + t*g = -8. Let z = 10 + g. Calculate the highest common divisor of z and 132. 12 Suppose -f + 9 = 5*h - 0, -3*f - 4*h + 60 = 0. Calculate the highest common factor of 12 and f. 12 Let w(x) = x**2 + 9*x + 5. Let c be w(-9). Suppose -2*m = -5*l - 9 - 277, -c*l - 20 = 0. What is the greatest common divisor of 19 and m? 19 Suppose -2*a + 6*a = 68. Let y be (-2)/a - 2646/(-238). What is the highest common divisor of y and 99? 11 Let b(h) = -h**3 + h**2 + h + 2. Let z(k) = -k**3 + 8*k**2 - 7*k - 2. Let o be z(7). Let t be b(o). Calculate the greatest common divisor of t and 48. 12 Suppose 0 = -5*i + 286 + 104. What is the highest common divisor of i and 52? 26 Suppose -m - 274 = -u, 0 = -4*u + 2*m + 3*m + 1092. Let r be 4/10 + u/5. What is the highest common factor of 14 and r? 14 Suppose -16 = -p + 6. What is the greatest common divisor of 44 and p? 22 Suppose 4*h + 80 = 2*d, -3*d + 4*h = -0*h - 110. Calculate the greatest common divisor of 20 and d. 10 Suppose 302 = 3*f + 2*f + u, -f = 2*u - 64. Let p = 76 + -52. What is the greatest common factor of p and f? 12 Suppose 61 = 2*d - 4*c - 1, -46 = -d + 5*c. What is the highest common divisor of 3 and d? 3 Let p be -3*(-4)/6 + 3. Suppose 0*z - 30 = -p*z. Suppose 0 = f - z*f + 120. Calculate the greatest common divisor of f and 8. 8 Suppose 8*u = 12*u - 572. Calculate the highest common factor of u and 11. 11 Let q be (2 + 89)*(1 + 0). Calculate the highest common factor of 13 and q. 13 Let g(i) = i**2 +
{ "pile_set_name": "DM Mathematics" }
nded to the nearest integer? 75 What is -0.091438 rounded to two dps? -0.09 What is -0.00002729 rounded to six dps? -0.000027 Round -26171000 to the nearest 1000000. -26000000 What is -13.17 rounded to the nearest integer? -13 Round 0.00011809 to 6 decimal places. 0.000118 What is -20786 rounded to the nearest one hundred? -20800 What is -1.666 rounded to 1 dp? -1.7 Round -0.0029418 to 4 dps. -0.0029 Round -0.0000045603 to seven decimal places. -0.0000046 Round 3340 to the nearest one hundred. 3300 What is 0.003854 rounded to four decimal places? 0.0039 Round -0.006162 to 3 dps. -0.006 Round -4048 to the nearest one thousand. -4000 Round 6535500 to the nearest one hundred thousand. 6500000 Round 0.0000086015 to 7 dps. 0.0000086 Round -15400 to the nearest one hundred. -15400 Round -0.00000002375 to seven decimal places. 0 What is 1492 rounded to the nearest 1000? 1000 What is -0.0000001662 rounded to 7 dps? -0.0000002 What is -49.46 rounded to the nearest ten? -50 What is 0.062642 rounded to 3 dps? 0.063 What is 1.511 rounded to 1 decimal place? 1.5 What is 27.9089 rounded to the nearest ten? 30 Round -14890000 to the nearest 1000000. -15000000 What is -52720000 rounded to the nearest 1000000? -53000000 Round -594800 to the nearest one hundred thousand. -600000 Round -0.61302 to three decimal places. -0.613 What is -1.07 rounded to one dp? -1.1 Round -160.5 to 0 dps. -161 Round -64680 to the nearest ten thousand. -60000 What is 0.00000976 rounded to six decimal places? 0.00001 What is 0.000009366 rounded to 6 decimal places? 0.000009 What is 8982 rounded to the nearest one thousand? 9000 Round 0.0065761 to three decimal places. 0.007 What is -0.001282 rounded to 4 decimal places? -0.0013 What is -8683000 rounded to the nearest one million? -9000000 Round -0.08415 to 2 decimal places. -0.08 Round 277 to the nearest 100. 300 Round 172.49 to zero dps. 172 What is 0.001212 rounded to 5 decimal places? 0.00121 What is -7538000 rounded to the nearest 1000000? -8000000 Round 0.0000284 to 7 dps. 0.0000284 What is -0.718 rounded to one dp? -0.7 Round -134970 to the nearest ten thousand. -130000 Round 6.3807 to zero dps. 6 What is -0.00009102 rounded to 5 decimal places? -0.00009 Round 1866000 to the nearest 10000. 1870000 Round 0.00679862 to 5 decimal places. 0.0068 What is 0.012419 rounded to three decimal places? 0.012 Round 21290 to the nearest one thousand. 21000 What is 345580000 rounded to the nearest 1000000? 346000000 Round 0.0006668 to four dps. 0.0007 Round 164.3 to the nearest integer. 164 What is 286.6 rounded to the nearest 10? 290 What is 32777000 rounded to the nearest one hundred thousand? 32800000 Round 0.00031371 to five decimal places. 0.00031 What is 0.14174 rounded to three decimal places? 0.142 What is 1034100 rounded to the nearest one hundred thousand? 1000000 Round -0.0024979 to five decimal places. -0.0025 Round -326160000 to the nearest 1000000. -326000000 What is 0.000049831 rounded to 6 dps? 0.00005 Round 8531 to the nearest 100. 8500 Round 0.0000738 to five decimal places. 0.00007 Round 2027.9 to the nearest 10. 2030 What is 23119000 rounded to the nearest one million? 23000000 Round 20.47 to the nearest integer. 20 Round 8360000 to the nearest 100000. 8400000 Round -6.402 to 1 dp. -6.4 What is 0.000030661 rounded to 7 decimal places? 0.0000307 Round 0.00004018 to 6 decimal places. 0.00004 What is 130.4 rounded to the nearest ten? 130 Round 0.000005166 to seven dps. 0.0000052 Round -0.00019392 to 5 decimal places. -0.00019 Round -4424400 to the nearest one hundred thousand. -4400000 What is 93730000 rounded to the nearest 100000? 93700000 What is -0.00001633 rounded to five dps? -0.00002 Round 0.00000021 to seven decimal places. 0.0000002 Round -1014500 to the nearest 10000. -1010000 What is 5.3311 rounded to the nearest integer? 5 Round -14990000 to the nearest one million. -15000000 What is 325.66 rounded to the nearest ten? 330 What is -276300 rounded to the nearest ten thousand? -280000 What is -1.1437 rounded to 1 decimal place? -1.1 Round -63440 to the nearest 10000. -60000 Round 317020 to the nearest one thousand. 317000 Round 0.000000194909 to 7 dps. 0.0000002 What is 1.412 rounded to one decimal place? 1.4 What is -54.8 rounded to zero dps? -55 What is -3850 rounded to the nearest one thousand? -4000 Round 0.001186 to 5 decimal places. 0.00119 Round -3359000 to the nearest 100000. -3400000 What is -3753600 rounded to the nearest one hundred thousand? -3800000 What is -6124200 rounded to the nearest one hundred thousand? -6100000 Round -1681000 to the nearest one hundred thousand. -1700000 What is 4.192 rounded to one decimal place? 4.2 Round -1.64 to zero dps. -2 What is 26290 rounded to the nearest 10000? 30000 What is -0.000024971 rounded to six dps? -0.000025 Round -1.183 to 2 dps. -1.18 What is 0.000065822 rounded to 5 decimal places? 0.00007 Round -28.43 to the nearest ten. -30 Round 0.00171 to 2 decimal places. 0 Round -4304200 to the nearest 10000. -4300000 Round 0.000126157 to 5 dps. 0.00013 Round -96.93 to the nearest integer. -97 What is -10520 rounded to the nearest one thousand? -11000 What is 7.58 rounded to the nearest integer? 8 What is 26599 rounded to the nearest 1000? 27000 Round -1.743 to one decimal place. -1.7 What is 48.1 rounded to 0 dps? 48 What is 2894710 rounded to the nearest one hundred thousand? 2900000 What is -0.000041268 rounded to 5 decimal places? -0.00004 What is 4448100 rounded to the nearest 1000000? 4000000 Round 0.0006693 to four dps. 0.0007 What is -5750000 rounded to the nearest one hundred thousand? -5800000 Round 6.7813 to 2 decimal places. 6.78 Round -4.365 to one decimal place. -4.4 What is 152274 rounded to the nearest ten thousand? 150000 Round -639700 to the nearest 10000. -640000 What is 4216500 rounded to the nearest 1000000? 4000000 Round -420 to the nearest 100. -400 What is -403.3 rounded to the nearest one thousand? 0 Round -0.0000636 to six decimal places. -0.000064 Round 2.875 to zero decimal places. 3 What is 102700 rounded to the nearest ten thousand? 100000 What is -1673.4 rounded to the nearest 10? -1670 What is 572 rounded to the nearest one thousand? 1000 Round 0.0001601 to six dps. 0.00016 Round -0.00033 to 4 dps. -0.0003 Round 0.00582 to three decimal places. 0.006 What is 0.1205 rounded to one dp? 0.1 Round -4862 to the nearest one thousand. -5000 Round -0.01227 to 3 decimal places. -0.012 What is 908700 rounded to the nearest one hundred thousand? 900000 Round 62200 to the nearest 100000. 100000 What is 0.031142 rounded to two dps? 0.03 What is 0.08679 rounded to 2 decimal places? 0.09 Round -2.18 to the nearest 10. 0 Round 0.0009749 to 5 decimal places. 0.00097 What is -0.00001911 rounded to six dps? -0.000019 What is -14 rounded to the nearest 100? 0 What is 487.38 rounded to the nearest integer? 487 What is 195581 rounded to the nearest ten thousand? 200000 Round 0.066871 to three decimal places. 0.067 What is 4903000 rounded to the nearest 100000? 4900000 Round 130.6 to the nearest 10. 130 What is -117.87 rounded to the nearest ten? -120 Round 2581 to the nearest 1000. 3000 Round 1.80374 to one dp. 1.8 What is 10990000 rounded to the nearest 1000000? 11000000 Round 1745 to the nearest 1000. 2000 Round 8.5955 to one decimal place. 8.6 Round -0.000215431 to six decimal places. -0.000215 Round 0.001058 to 4 decimal places. 0.0011 Round -0.038434 to 2 decimal places. -0.04 Round -105400 to the nearest one thousand. -105000 What is -109.77 rounded to the nearest integer? -110 What is -27.2867 rounded to 1 decimal place? -27.3 Round 542900 to the nearest 100000. 500000 What is 0.00072107 rounded to five decimal places? 0.00072 Round -10.07 to the nearest integer. -10 What is -9.72 rounded to 1 decimal place? -9.7 What is 20.138 rounded to the nearest ten? 20 What is 1855000 rounded to the nearest one hundred thousand? 1900000 Round -43.009 to zero decimal places. -43 Round 0.000356 to five decimal places. 0.00036 Round -104 to the nearest one hundred. -100 What is 9.77 rounded to the nearest integer? 10 What is -4.24 rounded to one decimal place? -4.2 What is 0.00043926 rounded to 5 decimal places? 0.00044 What is 0.000012135 rounded to six decim
{ "pile_set_name": "DM Mathematics" }
844 = -g*k + 630156. Round k to the nearest one hundred thousand. 1100000 Let p = 3.2 - 3.972. What is p rounded to 1 dp? -0.8 Suppose 0 = 2*l + 3*l - 25. Suppose 0 = -4*u - l*y + 439985, 185085 - 735082 = -5*u - y. What is u rounded to the nearest one hundred thousand? 100000 Let h = -2.10999807 - -2.11. Round h to 7 decimal places. 0.0000019 Let t = 0.55711 - 0.22625. Let l = -0.33 + t. Round l to 4 dps. 0.0009 Let a = -2.27 - -2.1. Let n = a - -0.07. Round n to one decimal place. -0.1 Let q = 9612 + -9611.936041. Let b = -0.064 + q. What is b rounded to 5 dps? -0.00004 Let u = -83 + -14. Round u to the nearest ten. -100 Let w = 546820318 + -546820369.0000033. Let s = 51 + w. What is s rounded to 6 dps? -0.000003 Let l = -4.2 - -4.20000175. Round l to seven dps. 0.0000018 Let t = 36553 + -24753. Round t to the nearest 1000. 12000 Let m = 126 - 230. Let d = m + 104.00000047. What is d rounded to seven dps? 0.0000005 Suppose -3*s + 5885 = -c, -s = -c - 2713 + 748. Let a be ((-180)/7)/((-7)/s). What is a rounded to the nearest one thousand? 7000 Suppose -4*i + 12 = 2*w, i + 4*w - 5 - 5 = 0. Suppose -29*h = -25*h - 4. Suppose v - i*v = h. What is v rounded to the nearest 10? 0 Suppose -m + 3400 = -0*m. What is m rounded to the nearest one thousand? 3000 Let t = 0 + 2. Let f = 2663298.2999997 + -2663296.3. Let p = t - f. What is p rounded to six decimal places? 0 Let g(z) = 18751*z**2 + 9*z + 8. Let x be g(-8). What is x rounded to the nearest one million? 1000000 Let l = -0.22 - 0.713. Let g = l + 0.013. Round g to 1 decimal place. -0.9 Suppose 27 = 5*h + 5*p + 7, -h - 4*p - 2 = 0. Let v(z) = 46296*z**3 + 2*z**2 - 2*z + 4. Let i be v(h). What is i rounded to the nearest one million? 10000000 Let j = 1058.9099966 - 1058.9. Let f = 0.009 + -0.019. Let y = j + f. Round y to 6 dps. -0.000003 Suppose -5*v + 2*x + 4 = 26, 0 = -2*v - 2*x - 20. Let u be 3*((-542)/v + 0). Suppose 2*a = 5*j + u + 171, 4*a = 4. What is j rounded to the nearest ten? -90 Let t = -289 - -439. Round t to the nearest 100. 200 Let n = 6.45 + -0.05. Round n to the nearest integer. 6 Let x(z) = 5816*z**2 + 6*z - 3. Let t be x(5). Suppose -16573 = 2*f + t. Round f to the nearest ten thousand. -80000 Let q(z) = -263*z**3 + 3*z**2 - 3*z - 2. Let w be q(2). What is w rounded to the nearest 1000? -2000 Let k = -119 - -134.8. What is k rounded to zero decimal places? 16 Let t = 0.4 - -0.2. Let s = -2437 + 2436.4015. Let o = t + s. What is o rounded to three dps? 0.002 Let b = -18584.849995 + 18588.85. Let o = -0.42 - -4.42. Let f = b - o. Round f to 6 dps. 0.000005 Let w = 139.975 - 129. Let f = w - 11. Round f to two dps. -0.03 Let v = -48 - -23. Let p = -6032863 - -6032838.00031. Let l = p - v. Round l to four dps. 0.0003 Suppose 5*i + a - 60505 = 0, -4*i + 17734 + 30646 = -4*a. What is i rounded to the nearest 1000? 12000 Suppose -5*r - 2*d + 110498 = 0, r + d + 5611 - 27710 = 0. Round r to the nearest one thousand. 22000 Let o = 0.05 - -1.95. Let h = o + -1.999978. What is h rounded to 5 decimal places? 0.00002 Let g = -72.00058 + 72. Round g to four dps. -0.0006 Let g = 8 + -9. Let f = 3 - g. Suppose 5*o + 10 = 0, -4*c = f*o - 344962 + 72970. Round c to the nearest 10000. 70000 Let g(c) = 0 + 95977*c**3 + 55274*c**3 + 2 - c - 2*c**2. Let l be g(2). Round l to the nearest one hundred thousand. 1200000 Let j(c) = -11*c**3 - 3*c**2 + 3*c + 2. Let l be j(-4). Let d = l + 104. Round d to the nearest 100. 800 Let a = -5.11 - -5. Round a to one dp. -0.1 Let y(h) = 189*h**3 + h**2 + 3*h + 3. Let o be (0 + 6/(-8))*4. Let w be y(o). What is w rounded to the nearest 1000? -5000 Let r = -158425851 + 158619495.963. Let b = -193737 + r. Let j = b + 92. What is j rounded to two dps? -0.04 Suppose -5*c + 5*x - 219000 = 0, 175200 = -4*c - 0*x + 5*x. Round c to the nearest ten thousand. -40000 Let i = -31.28 - -2.58. Let a = i - -28.69999789. What is a rounded to 7 decimal places? -0.0000021 Let a = -0.3 - -0.299952. Round a to five dps. -0.00005 Let t be 4/(3/(-3) - -3). Let l be (-3)/2*4/(-3). Suppose -2 = 2*a - 2*g, g = l*a - 2*g - t. What is a rounded to the nearest 10? -10 Let y(m) = 27*m**3 - 2*m**2 - 5*m + 9. Let f be y(-12). Let i be f/(-3 - 1346/(-448)). Round i to the nearest 1000000. -11000000 Let y = -0.193 + 93.193. Let c = y + -92.943. Round c to 2 dps. 0.06 Let l(j) = 101*j - 15. Let i be l(8). Let a be -1000*((0 - 3) + i). What is a rounded to the nearest one hundred thousand? -800000 Let v = -3.95163 - -3.95. What is v rounded to four decimal places? -0.0016 Let h = -0.2 - -0.21. Let r = h + -0.009998. What is r rounded to 5 dps? 0 Let v = -0.28 - -2.48. Let d = -4927422 - -4927424.199973. Let u = v - d. Round u to five dps. 0.00003 Suppose -5*z - 3 = -4*z. Let q be ((-1120)/(-6))/(z/2250). What is q rounded to the nearest one hundred thousand? -100000 Let x = 0.318 - 0.048. What is x rounded to one dp? 0.3 Let d = 48.82 + -0.82. Let x = d - 47.938. Round x to 2 decimal places. 0.06 Let z = 45738.196 + -45857. Let h = z + 119. What is h rounded to 2 dps? 0.2 Let r(g) = -31*g + 2. Let q be r(7). Let w = q - -365. Let n be -600*(w/9 - 0). What is n rounded to the nearest 100000? 0 Let v = -28743.550215229 - 0.457084771. Let m = v - -28761.5. Let p = 17.5 - m. Round p to 3 decimal places. 0.007 Suppose -2*w = -4*u + 5980008, 4*w - 2*u + 11959994 = -5*u. What is w rounded to the nearest one hundred thousand? -3000000 Let y be (-44)/(-8) - (-1)/2. Suppose -n = -y*n - 3600. What is n rounded to the nearest 100? -700 Let y = -6 + 8.8. Let i = 14.93482 + -12.134744. Let m = i - y. What is m rounded to five decimal places? 0.00008 Let r = 4 - 2. Suppose r = 3*p - 4. Let m be p/10 + 1620004/(-20). What is m rounded to the nearest ten thousand? -80000 Let t = 0.76 + -1. Let x = t - -80.24. Let c = x - 80.00000142. Round c to seven dps. -0.0000014 Let n(y) = -1. Let a(x) = 655*x**3 - 4*x**2 + 3*x. Let c(d) = -a(d) - 4*n(d). Let o be c(-4). What is o rounded to the nearest ten thousand? 40000 Let l = -0.41412 + 0.3241. Let a = l + 0.09. Round a to 4 decimal places. 0 Suppose 0 = 4*g + g - 5*i - 1845385, -3*i = g - 369061. Suppose -4*c = -102935 - g. Let l be (-1)/(-2)*(2 - c). What is l rounded to the nearest ten thousand? -60000 Let b be 20/15*(-6)/(-4). Suppose 452500000 = 3*u + b*u. Suppose 4*k + u = -k. What is k rounded to the nearest 1000000? -18000000 Let q = 33.9986 + -34. What is q rounded to 3 dps? -0.001 Let w = -14429034 - -8065362. Suppose 0*t - 5*q - 36791031 = -3*t, t = -2*q + 12263666. Let c = w + t. Round c to the nearest 1000000. 6000000 Let v = 782651.08340193 + -782568.0834. Let x = v - 83. Round x to seven decimal places. 0.0000019 Let t = -76.99999974 - -77. What is t rounded to seven dps? 0.0000003 Suppose 0 = z - 3*u - 12, 2*z - 5*u = z + 18. Suppose z*o - 483981 = -13083981. What is o rounded to the nearest 1000000? -4000000 Let c be (0 - 2)/(4/146). Let w be 26/(-8) - 6/(-24). Let v = w - c. Round v to the nearest one hundred. 100 Let l(s) = s + 11600000. Let p be l(0). Round p to the nearest 1000000. 12000000 Let z = 1.9 - -0.1. Let a = -1.99 + z. Round a to two dps. 0.01 Let r = -2442.1107 + 2442. Let l = -0.0626 - r. Let d = 0.05 - l. What is d rounded to 3 dps? 0.002 Let h be 3*3/(36/(-5864)). Let g = -1026 - h. Round g to the nearest one hundred. 400 Let q(n) = 38*n**3 - 5*n**2 - 4*n - 5. Let r be q(5). What is r rounded to the nearest one thousand? 5000 Let v be 2*-2*3/(-4). Suppose -6*s - 550 = -8*s. Suppose -s = -2*h - v*h. What is h rounded to the nearest 10? 60 Let g(r) = 2*r + 25. Let u be g(-9). What is u rounded to the nearest 10? 10 Suppose 0 = -3*m - 4*z + 19, -m = -4*z - 0*z - 1. Suppose -m*g - 5394 = 3*n, -2*n = -g - 20 - 1064. Round g to the nearest one hundred. -1100 Let b = 88592.9499995 - 88593. Let j = -172.95 + 173. Let g = j + b. What is g rounded to 6 decimal places? -0.000001 Suppose -2554 = -3*s - 7258. Let i = s - -2338. Round i to the nearest one hundred. 800 Let x = 98 + 1321. Suppose 2581 = p - x. Round p to the nearest 10000. 0 Let i = -5.2 - -37.2. Let h = i + 1. Let t = -32.974 + h. Round t to 2 dps. 0.03 Let x = -1.2 + 8.5. Let h = -4.185 + -3.178. Let p = x + h. Round p to two decimal places. -0.06 Let t = -687 + 1786. Let h be (
{ "pile_set_name": "DM Mathematics" }
a. -4 Solve 3*l + 0 = -b + 16, 36 = 5*b + 4*l for b. 4 Solve -1257114*f + 3*o + 25 = -1257115*f, -8 = o for f. -1 Solve 0 = -4*u + 2*v - 24, 4*u + 5*v = 9*v - 32 for u. -4 Solve 2*y + 3 = -h, h - 2*y - 93 = 12*h for h. -9 Solve -4*n - 13*u = -18*u + 1, 0 = n - 8*u + 7 for n. 1 Solve 3 = -m - 3*c, 3*m - 412*c + 416*c = -9 for m. -3 Solve 0*z + 2 = -9*h + z, -4*z + 8 = h for h. 0 Solve 197*k = 196*k + d + 5, k = 5*d - 7 for k. 8 Solve 2*y = q + 12, 0 = 5*y - q - 25 - 2 for y. 5 Solve 11 = 3*p + 5*v, -10*p + 480*v = 479*v - 19 for p. 2 Solve 66*n - 25 = 65*n - 2*j, 0 = 4*n + 4*j - 60 for n. 5 Solve -2*a - 3*f - 13 = -7*f + 35, -4*f = -56 for a. 4 Solve 202*a - 199*a = 2*i - 54, 3*a - 5*i + 117 = 0 for a. -4 Solve 5*s - 67 = -3*r - 27, -12*r = -3*s - 45 for s. 5 Solve -5*a = 4*o + 170044 - 170060, 4*o + 4*a - 12 = 0 for o. -1 Solve -4*n - 2*z - 4 = 0, -2*n + z - 8 = 5*z for n. 0 Solve -f = k - 8, 66*k - 2*f = 61*k + 33 for k. 7 Solve -3*f - 4 = -50*j + 49*j, -10*f = -j + 18 for f. -2 Solve -5*b = -18 + 28, -4*b = 4*c + 56 for c. -12 Solve -20*p + 19*p - 11 = -5*b, -7 = p - b for p. -6 Solve -2*o = -5*w + 26, 75*w + 11 = 3*o + 80*w for o. -3 Solve 11*z + 1249*i - 1254*i = 0, 5*i + 70 = -3*z for z. -5 Solve -2*q = 2*b - 20, -379*q + 382*q = -5*b + 50 for q. 0 Solve -2*f + 11*u = 150, -25*f = -26*f - 2*u + 30 for f. 2 Solve 735*j - 739*j + 4 = 4*q, -6 = -2*j + 2*q for j. 2 Solve -5*y = 4*r - 18, 4*y + 6*r - r = 18 for y. 2 Solve 2*z - 36 = 5*a, 5*a + 35 = 3*z + 1 for a. -8 Solve 2*t - 3*y = 6, 4*y + 14 = 2*t + 4 for t. -3 Solve 0*p + p + 6 = -3*i, 16*p + i + 49 = 0 for p. -3 Solve -4*y = f + 15, 2*f + 2*y - 230 = -236 for f. 1 Solve 2*x + 101*s = 100*s - 7, 2*x + 2*s = -6 for x. -4 Solve -7*m - 3 = 2*y, 3*m - y + 101 = 96 for m. -1 Solve 2 - 4 = -2*i, -3*g = -i - 5 for g. 2 Solve -721*m + 716*m + 4*o - 16 = 0, -3*o - 19 = 4*m for m. -4 Solve 9*w - 5*r - 5 = 0, 5*w = 2*r - 10 + 19 for w. 5 Solve 0 = 14*y + v - 20, 383*v - 382*v - 5 = y for y. 1 Solve 654*a - 655*a = j + 3, -11 = j - 3*a for j. -5 Solve -3*t - 2138*k + 2136*k = 25, 0 = -t + 4*k + 15 for t. -5 Solve 3*r - 11 = -3*k + 8*r, 3*k - 4*r - 10 = 0 for k. 2 Solve 0 = -5*i - 3*v + 102, -3*i + 17*v - 13*v + 38 = 0 for i. 18 Solve 5*w - 90*o - 22 = -94*o, -5*o + 16 = -5*w + 11 for w. 2 Solve 5*l - 45 = -6*i + 11*i, 5*i = -6*l + 10 for i. -4 Solve 3*m = 2*b - 5, 52*m - 51*m + 5*b + 13 = 0 for m. -3 Solve -5*x = -40, 28*y - 29*y - 3*x - 4 = -31 + 5 for y. -2 Solve -5*g - p + 3 = 0, 2*p - 8 + 2 = -g for g. 0 Solve d + 5 = -3*v, -d - 59 + 46 = -5*v for v. 1 Solve 408*h + 39 = -3*n + 404*h, -4*n + 2*h + 14 = 0 for n. -1 Solve 28*j + 2*k = 30*j - 16, 48 = 6*j - 2*k for j. 8 Solve 0 = 5*z + 8*u + 55, -217*z - 5*u = -213*z + 37 for z. -3 Solve -4 = -2*c - 2*k, 83 = 7*c + 4*k + 66 for c. 3 Solve 5*q = -3*x + 42, 502*q - 48 = -5*x + 501*q for x. 9 Solve 64*c + 7*o = 66*c - 53, o = c - 4 for c. -5 Solve 5*c = 5*i - 15, -5*c + 2133*i - 29 = 2135*i for c. -5 Solve -3*b - 23 = -2*g, -5*b = -11*g + 9*g + 33 for b. -5 Solve 9*b = 4*v + 10, 4 = -74*b + 79*b - 3*v for b. 2 Solve 5*z - 18*r = -16*r - 16, -7*z + 5*r = 18 for z. -4 Solve -3*n - 2303*s = -2300*s + 18, -2*n - s = 10 for n. -4 Solve 0 = -3*s - 3*f + 4*f + 51 - 37, 0 = 5*f - 5 for s. 5 Solve 3*y + 19*t + 5 = 18*t, -2*y = -t + 10 for y. -3 Solve -4*f + 68*c = 67*c + 15, 4*f + 3*c = -3 for f. -3 Solve 36*o - 2 = 2*r + 41*o, -3*r = -o + 3 for r. -1 Solve 0 = -d + 2*n - 2, -3*d - 356*n = -358*n + 6 for d. -2 Solve 7 = j - 4*o, -31*j - 1 = -33*j - 5*o for j. 3 Solve -9*p + 4*p = 4*k - 1, -5 = p + 6*k for p. 1 Solve 290*k = 286*k + u + 21, -4*u - 18 = -5*k for k. 6 Solve 0 = p + 5*y - 8343 + 8332, 5*p = 3*y - 1 for p. 1 Solve 0 = c + 5*o + 22, o + 18 = -3*c - 2*o for c. -2 Solve -2*c = -5*p, 0*c = 10*p - 3*c - 2*c + 5 for p. 2 Solve 0 = 4*p + m - 9, p - 3*m = -28 + 1 for p. 0 Solve 5*g = -z + 14, g + 26 = 470*z - 467*z for g. 1 Solve -623*c - 12 = 2*p - 628*c, p + 5*c = 9 for p. -1 Solve 41 = -4*x - i, -88*x + 5*i - 35 = -84*x for x. -10 Solve -14 = 5*f + o, -f - 22*o = -21*o + 6 for f. -2 Solve -3*b + z = 13, -193*z + 189*z - 23 = 3*b for b. -5 Solve -2*k = 782*z - 783*z - 10, 5*z - 3*k = -36 for z. -6 Solve 135*u = o + 128*u - 29, -2*o - 4*u = 14 for o. 1 Solve 0 = d + 3*j + 7, -5*d + 1 = 105*j - 108*j for d. -1 Solve 322*d = 5*j + 323*d + 5, 2*d = 4*j + 18 for j. -2 Solve 0 = -6*z + 18, 3*j = -j + 68*z - 69*z + 3 for j. 0 Solve -3*b - 3*h = -9, b + 4355*h = 4350*h + 3 for b. 3 Solve -3*b + 15*m = 14*m - 18, 4*m - 24 = -4*b for b. 6 Solve 2*q - 3*i = -24, 1756*q + 53 = 1753*q - 4*i for q. -15 Solve -1 = -3*s - 5*f - 12, -105*f - 8 = -109*f for s. -7 Solve k = 12*b + 15, 0 = -66*k + 64*k + 5*b + 11 for k. 3 Solve -3*t + 623*u + 8 = 627*u, 2*u - 26 = 4*t for t. -4 Solve 3*a = -2*t - 2, -45*t = -5*a - 49*t for a. -4 Solve -3*g = -r + 1, 4*g + 351 = 347 for r. -2 Solve -4 = 3*m - 7*b + 6*b, -3*b + 20 = -13*m for m. -2 Solve -2*o - i = -2, -4074*i - 4 = 3*o - 4069*i for o. 2 Solve 3*q - 4 = 5*p, -p - 2*p + q = -4*p - 12 for p. -5 Solve 45 = 2*c - 3*p, 45 = -623*c + 627*c - 3*p for c. 0 Solve 43*w - 46*w + 13 = 2*b, 2*w + b - 10 = 0 for w. 7 Solve -3*r = 5*o + 15, 2*o + 964*r = 965*r + 5 for o. 0 Solve -5 = 3*z + u, -u + 216 = -2*z + 206 for z. -3 Solve -7*v + q = 53 - 25, -5*q = -3*v - 12 for v. -4 Solve -3*a = 2*k - 367 + 417, 0 = -5*k - 3*a - 107 for k. -19 Solve 4*z = -3*n - 7, -1 = -3*n + 5*z - z for n. -1 Solve -n + 2*w - 9 = 0, 6*w - 11*w + w + 8 = 0 for n. -5 Solve t = 6, 0 = -4*i - 4*t + 5 + 7 for i. -3 Solve z + 8 = 2*s, 167*z = 162*z - 5*s + 20 for z. 0 Solve -8 = 5*s - 4*d, -4*s - 463*d + 459*d + 44 = 0 for s. 4 Solve j - 4 = 4*c, 5*c - 651 = 4*j - 667 for j. 4 Solve -4*i = 5*v, -3*i - 735 + 766 = -4*v for i. 5 Solve 155*f + 58 = 152*f + 2*h, -3*h + 65 = f for f. -4 Solve 3*y = -232*w + 236*w + 1, -3*w - 3*y = 6 for w. -1 Solve 0 = -3*b + 4*t + 29, t - 223 + 211 = -2*b for b. 7 Solve -w + 8*y = -15, 0 = -w + 357*y - 358*y + 6 for w. 7 Solve 87*w + 12 = 84*w + 2*r, w + 14 = 4*r for w. -2 Solve -m = 3*k - 59 + 56, 5*k + m - 7 = 0 for k. 2 Solve 2*u + f = -2, 1470*u - f = -1464*u + 2930*u + 20 for u. 3 Solve -5*n - 4*f = 40, 3*n + 62 = 2*f + 60 for n. -4 Solve 0*c = -c - 1, 7*l - 6*c + 16 = -14*l - c for l. -1 Solve -4*c - 25 = 3*d, -549*d + 11 = -545*d - c for d. 1 Solve 29*v - 6*f + 5*f = 31*v + 4, -3*f = 2*v for v. -3 Solve 2*s = q - 6 - 3, 18 = -5*s + q for s. -3 Solve 4*r - 1283*m + 1285*m = 30, 0 = 5*r + 4*m - 42 for r. 6 Solve -21 = -p + 4*x, 5*p - 41 = -x - 20 for p. 5 Solve -3*r = -2*d + 173 - 202, -3*d - r - 5 = 0 for d. -4 Solve 0 = -15181*o + 15177*o + 5*a + 19, -a - 1 = 2*o for o. 1 Solve -3*x - 11 = -4*r - 15, -3*x = -2*r - 8 for x. 4 Solve -5*k - 37 = -12*w + 10*w, -4*k = 3*w + 48 for k. -9 Solve 0 = 5*r - 4*c - 77 + 102, 2*r + 4*c + 10 = 0 for r. -5 Solve -418*o = 3*x - 421*o - 39, 5*o = -6*x - 10 for x. 5 Solve -5*j - 1488 = -3*y - 1498, 2*y + 3*j = -32 for y. -10 Solve 21 = 7*v, 0 = 5*o - 6*v - 4*v + 6*v - 3 for o. 3 Solve 2*s + 3*y = 13 + 5, 12 = 5*s + 2*y for s. 0 Solve -3*m - 334*j + 24 = -331*j, 0 = -2*m - 4*j + 26 for m. 3 Solve -4*i - 26 = -2*m - 2*i, -7*i + 4*i - 15 = 0 for m. 8 Solve -5*r + 11408*c + 39 = 11416*c, -5*r + 5*c = 0 for r. 3 Solve -2*l - 34 = 566*u - 570*u, 2 = -2*l for u. 8 Solve 103*u - 107*u - d = 1, u + d = -4 for u. 1 Solve 50 = 12*w + 2*q, 3520*q - 3522*q + 6 = w for w. 4 Solve -2*z + 32*y + 46 = 29*y, 0 = z - 14*y - 173 for z. 5 Solve -2*z + 1 = 3*u - 4*z, -4*u = z + 6 for u. -1 Solve 0 = 4*m - 5*j - 35, -26*m + 19*m - 2*j - 14 = 0 for m. 0 Solve -5*x - 22 = 3*y, 0 = -5*y - x + 34 - 78 for y. -9 Solve -20 = 3*g + o, -574*g + 571*g + 5*o = -10 for g. -5 Solve 4*u + 265*z = 268*z + 36, 2*z + 26 = 3*u for u. 6 Solve -1005*u + 2*g + 18 = -1003*u, 5*u - 3*g = 35 for u. 4 Solve -5*u - 13 = 7, -u - 19 = 5*n for n. -3 Solve 2*v + 10 = -2*q, -2*q = -12114*v + 12113*v - 2 for v. -4 Solve -6 = -746*n + 749*n, -3*n + 19 = 5*t for t. 5 Solve 2 = -4*j + 27*t - 25*t, -2*j - 2*t + 8 = 0 for j. 1 Solve 3*r = -p - 3, 129*p - r + 4 = 131*p for p. 3 Solve -r - 4 = -t, 210*t = 211*t - 3*r + 2 for t. 7 Solve -f + 3 = 63*t - 65*t, -212*f + 636 = -t for t. 0 Solve 5*i = 2*o, 2273 - 2273 = 2*i for o. 0 Solve -2*x + 4 = -4*c - 2, 0
{ "pile_set_name": "DM Mathematics" }
t(3) + 12388 Simplify -2 + -1*sqrt(162) + 0 + (-2*sqrt(162)*3*1)**2. -9*sqrt(2) + 5830 Simplify (-3*2*sqrt(228)*2)/((sqrt(300) + sqrt(300) + -1*sqrt(300))*-3). 4*sqrt(19)/5 Simplify -4*(-3*sqrt(152)*2)/((sqrt(40)*4)/sqrt(5)). 6*sqrt(19) Simplify (((sqrt(105)*1)/sqrt(3))/(sqrt(80) + 1*sqrt(80) + sqrt(80))*1)**2. 7/144 Simplify (sqrt(363)*3 + -4 - -6*(sqrt(363) - (sqrt(363) + 1)))**2 + 1. -660*sqrt(3) + 3368 Simplify (sqrt(3456)*-2*-2 - sqrt(3456))/(5*(sqrt(800) - -1*sqrt(800))). 9*sqrt(3)/25 Simplify (-1*sqrt(77)*5 - sqrt(77)*1*-5)/(((sqrt(99) + sqrt(99)*1 + sqrt(99))*-2)/sqrt(9)) + 1. 1 Simplify (0 + sqrt(7623) + -4)**2*-3 + 2. -22915 + 792*sqrt(7) Simplify 0 + 0 + (2*sqrt(176))**2 + 0 + -1 + 5. 708 Simplify (sqrt(190) - ((sqrt(190) - 2*sqrt(190)) + sqrt(190))*-6)/(sqrt(10) + -6*sqrt(30)/sqrt(3)) - (-4 + sqrt(684) + (sqrt(19) + sqrt(684))*4). -171*sqrt(19)/5 + 4 Simplify ((3*1*sqrt(152) + -1*1*sqrt(152))/(6*sqrt(128) - (2*sqrt(800) + sqrt(800))))**2. 19/9 Simplify (5 + -2 + (-1*sqrt(304) - sqrt(304))*-4 + 3)*-1. -32*sqrt(19) - 6 Simplify ((sqrt(28) - (sqrt(224)/(sqrt(8)*5 - sqrt(8)) + sqrt(28)))*1)/(2*sqrt(28)/sqrt(175)). -5*sqrt(7)/8 Simplify -6*4*(sqrt(3) + 1 + -2 - (sqrt(12) + -1))**2. -72 Simplify 1 + ((sqrt(273)/(1*sqrt(7)))/(-3*sqrt(12)/sqrt(4))*-1 + -3)**2. -2*sqrt(13) + 103/9 Simplify (1*sqrt(180) + sqrt(180) + 4 + sqrt(5) + -1 - ((sqrt(20)/sqrt(4) - sqrt(5)) + 3 - (-1 + sqrt(5) + sqrt(45))))**2. -34*sqrt(5) + 1446 Simplify -1*((sqrt(900)*-4)/(1*sqrt(75)))**2. -192 Simplify (5*-2*sqrt(63))/(sqrt(108)/sqrt(3)). -5*sqrt(7) Simplify (((sqrt(189)*-1 - sqrt(189))/sqrt(7))/(sqrt(144) - -4*sqrt(144)))**2*2. 3/50 Simplify ((-1*sqrt(180) - sqrt(5)) + 1 + (1 + sqrt(720))*3)*1. 4 + 29*sqrt(5) Simplify -5*sqrt(24)/(sqrt(300) - (sqrt(300) + (sqrt(300)*-2 - sqrt(300))) - sqrt(12)) - ((sqrt(242) + 0 + sqrt(242) + -1 + sqrt(242))**2 + -5). -2174 + 919*sqrt(2)/14 Simplify (-4 + (sqrt(475) + (3 + sqrt(475) + sqrt(475))**2)*4 + (sqrt(475)*-3)**2 + 1)*-5. -59540 - 1300*sqrt(19) Simplify 5 + (((sqrt(204)*2 + sqrt(204))*-4)/sqrt(12) + (sqrt(17) - (sqrt(17) + ((sqrt(119) - 3*sqrt(119))/sqrt(7) - sqrt(17) - sqrt(17)))) + -2)**2. 32*sqrt(17) + 1097 Simplify ((-1*sqrt(880) - -2*sqrt(5500))/((sqrt(10)*-1*-3)/sqrt(2)))**2. 2816/9 Simplify -4 + (-4*sqrt(8) - (sqrt(72) + -2 - sqrt(2))). -13*sqrt(2) - 2 Simplify ((sqrt(192) - (sqrt(192) + 1)) + -3 - (6*(sqrt(192) + -1) + sqrt(192)))**2 + -2*(2 + 1 + sqrt(192))**2. -320*sqrt(3) + 9010 Simplify (-2 + (sqrt(128) - (sqrt(128) + (sqrt(128) - sqrt(128)*-2) + sqrt(128))) + (sqrt(288) - (1*sqrt(288) + 5)))**2*-5. -10485 - 2240*sqrt(2) Simplify ((2 + (sqrt(70)/sqrt(5))/sqrt(7) + 2)*1)**2 + -5. 8*sqrt(2) + 13 Simplify (2*sqrt(133)*-1)/(-3*sqrt(7)*1). 2*sqrt(19)/3 Simplify (6*(sqrt(1100) - (-2 + sqrt(1100))) + 0 + sqrt(1100)*2 + 5*sqrt(1100)*2 + -3 + -2*sqrt(1100))**2. 1800*sqrt(11) + 110081 Simplify (2*(1*sqrt(3993) + sqrt(3993)) + sqrt(3993))/(-4*-6*sqrt(66)/sqrt(6)). 55*sqrt(3)/24 Simplify ((sqrt(24)/sqrt(128) + -5)**2 - sqrt(363)*2*-3) + 0. 403/16 + 127*sqrt(3)/2 Simplify (sqrt(539)*-1)**2*5 + -1 - (sqrt(99)/(sqrt(18)/sqrt(2)) + sqrt(77)/(sqrt(7)*1) + 4). -2*sqrt(11) + 2690 Simplify (1*((3*sqrt(121) + sqrt(121))*-6)/(sqrt(11) + -6*sqrt(66)/sqrt(6)))**2. 6336/25 Simplify -6*(-5*sqrt(78)/sqrt(2) + -5*(sqrt(117)/sqrt(3) + sqrt(39)))/(sqrt(12)/(sqrt(64)*-6)). -2160*sqrt(13) Simplify (-3*sqrt(5760))/(-1*sqrt(128)). 9*sqrt(5) Simplify (4*1*sqrt(102)*-6)/((sqrt(1050) + (sqrt(1050) - -2*sqrt(1050)) + sqrt(42))/sqrt(7)). -8*sqrt(17)/7 Simplify (1*sqrt(147)/sqrt(3)*6)/(-1*sqrt(343)*-4 - sqrt(343)). 2*sqrt(7)/7 Simplify (sqrt(72) + 3 + (sqrt(72) + 1 + sqrt(72) - sqrt(72)))**2 + (sqrt(2) + sqrt(12)/sqrt(6) + sqrt(2) + 2)**2 + 2. 108*sqrt(2) + 328 Simplify sqrt(425)*1 + 0 + 2*sqrt(425) + -1. -1 + 15*sqrt(17) Simplify (5*((-4*sqrt(143) - sqrt(143)) + sqrt(143)))/(-5*sqrt(539)). 4*sqrt(13)/7 Simplify sqrt(30)/(sqrt(1000)*-5) + 2 + ((sqrt(3) + sqrt(3)*-4 - sqrt(3)) + -2)**2. 799*sqrt(3)/50 + 54 Simplify 6*((-6*(sqrt(99) + 0 + sqrt(99) + sqrt(99)))**2 + (sqrt(99) - (0 + sqrt(99) + 0))**2)*5. 962280 Simplify -1 + (0 + sqrt(3) + -2 + sqrt(21)/(sqrt(35)/sqrt(5)))**2. -8*sqrt(3) + 15 Simplify (sqrt(11) - ((sqrt(1584) - (sqrt(1584) + 0)**2) + sqrt(1584) + sqrt(1584))) + (sqrt(22)/(sqrt(2) + sqrt(50)))**2 - (-2 + (-3 + sqrt(176))**2). -11*sqrt(11) + 50447/36 Simplify (sqrt(1300) - (3*sqrt(1300)*1 + sqrt(1300)))/(sqrt(8)/(sqrt(16)/(sqrt(8) + sqrt(8) + sqrt(392)))). -5*sqrt(13)/3 Simplify 5 + ((-1 + 1 + sqrt(19))**2 - sqrt(19)) + -4 + sqrt(57)/sqrt(3) + 0 + -4. 16 Simplify -5*(-1 + sqrt(1539)) - (sqrt(19) + -3)*6*-2. -33*sqrt(19) - 31 Simplify sqrt(1377)*-2*-2*-5*-2. 360*sqrt(17) Simplify (5*-2*((sqrt(125) - (2 + sqrt(125))) + -5 + -4))**2. 12100 Simplify -5*(((sqrt(114) + (5*1*sqrt(114) - sqrt(114) - sqrt(114) - sqrt(114)) + sqrt(114) - sqrt(114)) + sqrt(114))/(sqrt(6) + 3*sqrt(6)*-4))**2. -1520/121 Simplify (-1*sqrt(640)*-4)/(((-5*sqrt(200)*4 - sqrt(200)) + sqrt(200) - sqrt(200)) + sqrt(200)). -4*sqrt(5)/25 Simplify (sqrt(486)/sqrt(9))/(sqrt(21)/(sqrt(70)/sqrt(10))). 3*sqrt(2) Simplify ((4*1*sqrt(171))/(sqrt(108)/(sqrt(48)/sqrt(4))) - (sqrt(19) + 2*sqrt(1539) + sqrt(171)/sqrt(36) + 0))**2. 18259/4 Simplify ((sqrt(539) - (2*sqrt(539) + sqrt(539) + 3))**2 - (sqrt(99)*2)/sqrt(9)*3) + -2. 78*sqrt(11) + 2163 Simplify sqrt(112) + 4 + (2 + sqrt(63))**2 - (sqrt(896) - sqrt(896)*2)/sqrt(2)*2. 71 + 32*sqrt(7) Simplify (5*(-5*(sqrt(200) + 2) + (sqrt(200) - -1*sqrt(200))*2 + sqrt(200)))**2. 2500 Simplify -2 + (-6*(6*(sqrt(396) + 2) + sqrt(396) - (4*-2*sqrt(396) + sqrt(396))))**2. 72576*sqrt(11) + 2799358 Simplify (((-1*sqrt(85)*4 - sqrt(85))*2)/(3*1*sqrt(5) - (sqrt(320) + (sqrt(320) - ((sqrt(320) - sqrt(320)*1) + sqrt(320) - sqrt(320))))))**2 + -4. 1024/169 Simplify (-1 + (sqrt(66)/sqrt(3))/sqrt(11)*5*-1 + 5)*-6. -24 + 30*sqrt(2) Simplify -5*((sqrt(272) - ((-5 + (-2 + sqrt(272) - sqrt(272)))**2 + sqrt(272) - sqrt(272))) + sqrt(272))*-6*6. -8820 + 1440*sqrt(17) Simplify (2*(sqrt(13) + -1)*5 + ((sqrt(208) - (4*sqrt(208))**2*3) + sqrt(208) - sqrt(208)))*2. -19988 + 28*sqrt(13) Simplify 2*(-3*(sqrt(5) + sqrt(20))*-3 + 3 + -2 + sqrt(20)). 2 + 58*sqrt(5) Simplify ((-6*sqrt(95)*2 + sqrt(95))*-4)/(sqrt(125) - 3*sqrt(125)*2). -44*sqrt(19)/25 Simplify -3*sqrt(2736)*4*-6 + 2 + (sqrt(2736) - (sqrt(2736) + (sqrt(2736) - -3*sqrt(2736)))**2*-3). 876*sqrt(19) + 205202 Simplify (2 + -1*sqrt(275) + 4 + 1*sqrt(275) + 2)**2. 64 Simplify ((sqrt(120) + (sqrt(120) - sqrt(120)*-1) - sqrt(120))/sqrt(5)*4)/((1*sqrt(96)*2)/sqrt(12)). 4*sqrt(3) Simplify (((-5*(2*sqrt(132) + sqrt(132)) - sqrt(132)) + sqrt(132) - sqrt(132) - sqrt(132))*4)/(1*1*sqrt(12)*3). -68*sqrt(11)/3 Simplify ((sqrt(78)/sqrt(75))/(sqrt(16)/(sqrt(8)*-4)))**2. 208/25 Simplify 2 + 0 + (sqrt(25) + ((sqrt(225) + sqrt(225)*2)/sqrt(9) - sqrt(25)))/(sqrt(605)*-2). -3*sqrt(5)/22 + 2 Simplify (-2*sqrt(153)*-1 + (sqrt(153) + (sqrt(153) + sqrt(153)*2 + sqrt(153))*4 - sqrt(153)))/(sqrt(99)/(sqrt(44)/sqrt(4)) + sqrt(9)*-2*2). -6*sqrt(17) Simplify ((sqrt(104)*5)/sqrt(4))/sqrt(2) + (-1*sqrt(65))/sqrt(5) + -4 + sqrt(13) + 1 + sqrt(13). -3 + 6*sqrt(13) Simplify (((sqrt(396) - (sqrt(396) + 0))*-4 + 4)*-5)**2*-6. -2400 Simplify -4 + (5*((sqrt(500) + 0)**2 + sqrt(500)) + 1*(0 + sqrt(500)))*-5. -12504 - 300*sqrt(5) Simplify (((3*(sqrt(297) + sqrt(297) + -1*sqrt(297)))/sqrt(9))/(-1*sqrt(75) - (sqrt(30)/sqrt(2))/sqrt(5)))**2. 11/4 Simplify 5*(sqrt(80) + sqrt(80) + 1 + 4 - sqrt(80) - sqrt(80) - (sqrt(80) + -5 + sqrt(80) + 1*sqrt(80)))**2*6*1. -7200*sqrt(5) + 24600 Simplify -3 + ((sqrt(162) - (sqrt(162) + ((sqrt(162) + -2 - sqrt(162))*-4 - sqrt(162))))**2 - (sqrt(162) + (3*sqrt(162)*1)**2)). -1235 - 153*sqrt(2) Simplify (-4*((sqrt(1700) - (sqrt(1700) + -1)) + 0 + 3)*6*3)**2. 82944 Simplify 1 + (sqrt(28)/sqrt(4)*4 + 4)**2 + (-5*(sqrt(63) - sqrt(252)))/sqrt(9). 37*sqrt(7) + 129 Simplify (-2*4*(0 + (sqrt(300)*2 - sqrt(300)) - sqrt(300))*-3)**2*-6. 0 Simplify ((sqrt(240)*1)/sqrt(8) - sqrt(30) - sqrt(150)/(sqrt(10)/sqrt(2)))/((sqrt(70)*-2*-1 - sqrt(70))/sqrt(7)). -sqrt(3) Simplify -1 + (-1*3*(sqrt(130) + (sqrt(130) - sqrt(130)*2) - sqrt(130)))/((sqrt(1000)*1)/sqrt(4)). -1 + 3*sqrt(13)/5 Simplify (1*sqrt(39)*-6 - sqrt(39))/(6*sqrt(9)/sqrt(3)
{ "pile_set_name": "DM Mathematics" }
losest to -1? (a) 0 (b) -0.2 (c) m c Let u = -0.21 + -0.09. Which is the closest to 2/7? (a) 0.5 (b) -0.2 (c) u a Let y be 1/(4/(-4)) - (-26)/22. What is the closest to 1 in -3/2, -0.18, y? y Let y = 3.3 - 2.3. Which is the closest to -5? (a) y (b) 2/9 (c) -0.2 c Let h be 0/2 + -1 + 1. Let p be h + 0 + 4/10. Let v = -18/19 - -71/95. Which is the nearest to p? (a) v (b) -0.3 (c) -5 a Let z = -0.01 - -2.01. Let c = -4.66 + -0.34. What is the closest to z in 4, c, 5? 4 Let p be (0 + -3)/(-18)*(-15)/10. Let g = -12 - -20. Let x = 5 - g. Which is the nearest to p? (a) x (b) -2/3 (c) 5 b Let u = -12029899134/3353 - -3587802. Let h = u - 2/479. Let z = 1 - 5/7. Which is the closest to z? (a) 1 (b) 0.2 (c) h c Let l(b) = b**3 + 7*b**2 + 5*b - 6. Let f be l(-6). Suppose 3*h + 1 + 2 = f. Let o = -20 - -25. What is the closest to -1/4 in -5/3, o, h? h Let u = -2 - 0. Let g = u - -3. What is the nearest to g in 2, 2/7, -3? 2/7 Let m = 29 - 117/4. Let n be ((-3)/(-6))/(15/(-10)). Which is the closest to m? (a) n (b) -1 (c) 1/7 a Let y = -0.1 + 1.1. Let r = 0.21 - -0.29. Which is the closest to y? (a) 0 (b) -0.2 (c) r c Let v = -2.5 - -5.6. Let j = v - 0.1. What is the closest to -1 in 4/7, 0.3, j? 0.3 Let m = 0.2 + -0.2. Which is the nearest to m? (a) -1 (b) -0.2 (c) 12 b Let w be -3 + 94/40 + 3/12. Which is the nearest to 0.2? (a) w (b) 2 (c) -1/2 a Suppose 0 = -5*a + 5*d, 3*d - 3 + 1 = 5*a. Let m be 4/(-14) + (-1 - a). Let f = 226 - 2488/11. What is the nearest to 1 in m, f, -0.5? f Let m = 22/15 + -9/5. Which is the nearest to -0.16? (a) m (b) 0.2 (c) 3 a Let b = 10 + -10. Let t = 5 + -1. What is the nearest to 0 in -1, t, b? b Let s be (6/4)/((-10)/20). Which is the nearest to s? (a) 2/7 (b) 3/7 (c) 0 c Let q = 18/41 - -38/287. Let k be 5/15 - 20/6. Which is the closest to -0.3? (a) q (b) 0.3 (c) k b Suppose 0 = -0*z - 4*z - 4*q - 4, z = q - 3. What is the nearest to 1 in -0.4, z, 1.3? 1.3 Let y = -5 + 9. Let k = -3.9 + y. Let m = 6.1 + -6.3. Which is the closest to k? (a) 2 (b) m (c) 0.3 c Suppose -3*h + 2*h = 0, 0 = 5*a - h - 10. Let i = -6 + 4. Let b be a*((-5)/i)/(-5). What is the nearest to 2/3 in b, 2, 0? 0 Let s be (2 + -1)/((-2)/(-4)). Let y = 4 + -6. Let g = s + y. Which is the closest to g? (a) -1 (b) -5 (c) -0.5 c Let c = 0.38 + -0.48. What is the nearest to c in -0.1, -4, -0.4? -0.1 Suppose 4*k + 5*t = -29, k - 14 = -t + 4*t. What is the closest to 2/3 in 5, k, 1/8? 1/8 Let m = 3/170 - 267/680. Let f = m + -1/40. Let q = -0.27 + 0.07. What is the nearest to 0 in q, f, 2/13? 2/13 Let t = 0.3 - 0.4. Suppose 3*r + 15 = -0*r. Let n be r/((-35)/16) - 2. Which is the nearest to n? (a) t (b) 0 (c) -5 b Let x = -46.46 + 46. Let k = -18 - -17.94. Let o = x - k. Which is the nearest to 1? (a) o (b) -3 (c) 0 c Let k = 205/134 - 2/67. Which is the nearest to -3/4? (a) 2 (b) -0.04 (c) k b Let y = 0 + 0. Let m = 2.8 + 1.2. What is the nearest to y in -1/5, m, -1/9? -1/9 Let l = -3.3 + 3. What is the closest to 0.1 in l, 2, 1? l Let d(k) = -k + 3. Let r be d(2). Let p = -6 - -1. Let o = -0.06 - -0.46. Which is the nearest to r? (a) 1 (b) o (c) p a Let g = 10 + -10.05. Which is the closest to 2/7? (a) 2/7 (b) g (c) -1/2 a Let v be 12/(-8)*(-1)/9. Which is the closest to 0.2? (a) v (b) -1 (c) 0.1 a Let h = -24/5 - -53/10. Let q = 1179.03 - 1174. Let w = -0.03 + q. Which is the closest to -2/9? (a) -3/4 (b) h (c) w a Let r = 49.4 + -49. What is the nearest to -3 in -4, -1, r? -4 Let r be 4 - ((-6)/(-27) - -4). What is the closest to -5 in -4/5, r, 5? -4/5 Let f = 0.03 - -0.97. What is the closest to f in 2, 1/3, 2/13? 1/3 Let r(x) = 2*x**3 - 3*x**2 + 2*x - 3. Let p be r(2). Let k = -19 + 17.1. Let t = k - -2.9. Which is the nearest to t? (a) p (b) 0.3 (c) 0 b Let x = -17.2 + 17. Which is the nearest to 0.3? (a) 5 (b) 3 (c) x c Let f = -1 + 1. Suppose i - 4*y + f = 7, -3*y + 1 = -2*i. Let x = -6 + 2. Which is the nearest to -2/7? (a) i (b) -2/3 (c) x b Let q = -14/15 - -3/5. Let p = -3 - -8. Suppose -5*z = p*j - 3*z - 24, -4*z + 20 = 3*j. What is the nearest to q in j, -2/5, -4? -2/5 Let j = -4 - -3.97. Let c = j + 0.03. What is the closest to c in -2/7, 3/2, -3? -2/7 Let p = -1.36 - -1.16. Which is the nearest to 1? (a) -8 (b) p (c) 1/5 c Suppose 3*d - 29 - 22 = 0. Suppose 2 = 5*u + d. Let k = -2 - u. What is the nearest to -2/5 in k, 0, -2/5? -2/5 Let t = -0.2 - -0.1. What is the nearest to t in 2/3, -4/9, -4? -4/9 Let r = -0.9 - -0.94. Which is the closest to 1/2? (a) r (b) -1 (c) 2/3 c Let d = -10 + 11.2. Let t = d - 1. Which is the closest to 1? (a) t (b) -0.2 (c) -5 a Let i be (2 + -5 + -6)*1. Let z = i + 9. What is the nearest to -3 in -0.5, z, 5? -0.5 Let r be -9*(5 + -4)/1. Let m be 70/(-72) - r/12. What is the closest to m in 0.2, -6/7, -2? 0.2 Let d = 0.2 + -0.3. Let o = 0.8 + -1.3. Which is the nearest to d? (a) -4 (b) -2 (c) o c Suppose -11 = -4*s + 5. What is the closest to -1 in 0, s, 0.1? 0 Let r(m) be the first derivative of m**2/2 + 6*m - 4. Let o be r(5). Let n = o + -8. Which is the nearest to -2/3? (a) -0.1 (b) n (c) 4 a Let p = -1/7 - 11/21. Let i = 135 + -673/5. Which is the closest to i? (a) -1/3 (b) -0.4 (c) p a Suppose 1 = -2*g - 5. Let a = -0.04 - 0.01. Let y = a - 0.05. What is the nearest to 0 in -2/11, g, y? y Let i = -32 - -31. What is the nearest to i in -2, 0.1, 4? -2 Suppose -6*m = -m - 25. Which is the closest to -4/7? (a) m (b) 3/5 (c) -1 c Let z be 24/36*(-1)/3. Which is the nearest to 0? (a) 2/19 (b) z (c) 3 a Let x = 24.77 + -25. Let p = x + 0.03. What is the closest to 1 in p, 0.5, -4? 0.5 Let k be 0*((-2 - 1) + 4). Suppose -2*i + 0*z + 10 = 4*z, z - 2 = 0. Suppose -g - i = -k*g. What is the closest to -2 in -0.4, g, -4? g Let h = -24 + 22.6. Let n = h - -4.4. Which is the closest to 0.4? (a) 0 (b) n (c) -0.3 a Let z = 0.29 - 20.29. Let y = 20.2 + z. What is the closest to 0.1 in 2, y, -0.2? y Let f = 0.7 - 1. Let o = f + 0.6. Let h = 0.07 + -0.37. Which is the closest to o? (a) 4 (b) 2 (c) h c Suppose -4*d + 21 - 5 = 0. Let y = 7/2 - d. What is the closest to -1/5 in 5, -1/6, y? -1/6 Let g = -15 - -12. What is the nearest to 1 in -0.1, -0.4, g? -0.1 Let m = 24 + -33. Let i = m + 10. Let u = 0.01 - -0.39. Which is the nearest to i? (a) u (b) -3 (c) -1/5 a Let p = 6 + -8. Let n = 12 + -86/7. Which is the nearest to n? (a) 1 (b) -4 (c) p a Let f be ((-1)/3)/((-488)/59706). Let s = -163/4 + f. Let r = -132/305 + s. What is the nearest to -0.1 in 2, -5, r? r Let r be (-18)/84*(-434)/(-340). Let p = -2/85 - r. Which is the closest to 1.1? (a) p (b) -1/2 (c) -4 a Let d be 1*6*(-6)/18. Which is the closest to -2? (a) -0.1 (b) d (c) 1 b Let n = -4.7 + 2.4. Let h = 1.7 - n. Which is the nearest to 0.1? (a) h (b) -4 (c) 0.3 c Let p = 0.2 + -1.2. Suppose 2*j = o - 3, -3*o - o + 8 = -4*j. Which is the nearest to j? (a) -0.1 (b) -2/19 (c) p c Let g = -0.35 + 0.11. Let m = 0.14 + g. Let y = 2 - 2.5. Which is the nearest to m? (a) -1 (b) -5 (c) y c Let s = 0 + 3. Let l = -20 + 41. Let r be -2 - (-3 + l/27). What is the closest to -1 in 0, r, s? 0 Suppose -3*r + 3 = -0. Let l be r/((102/4)/(-3)). What is the nearest to -1/3 in l, 0.1, -0.3? -0.3 Let g be (-117)/(-99) + 4/(-22). What is the closest to g in 0, -2/3, -0.2? 0 Let d = 53 - 50. Suppose 0 = -2*i - i + 6. Let n = -87 - -431/5. What is the nearest to -1 in n, i, d? n Let t = -25/6 - -11/3. Let r = 4.199 + 0.001. Let k = -4 + r. Which is the closest to k? (a) -2/3 (b) t (c) 0.3 c Let c = 0.1 - 0.2. Let h = 0.4 - c. Let j(d) = -d**2 - 4*d + 10. Let p be j(-5). What is the nearest to -1 in 1, h, p? h Let l = 0.38 - -0.02. Let n be (-9)/(-10) - 16/32. Which is the nearest to n? (a) -5 (b) -3 (c) l c Let s = -1/4 + -1/28. Let j = -0.2 + 0.2. Which is the nearest to j? (a) s (b) -5 (c) -3 a Let g = -0.1 - -0.6. Let p = g + -0.4. Let x = 0.1 + -0.1. Which is the closest to x? (a) 0.4 (b) p (c) 2 b Let g = 17 - 15. Which is the closest to 0? (a) -1/5 (b) -0.4 (c) g a Let j = 4 + -2. Let b = 10/7 - 11/7. What is the closest to -3 in j, 5, b? b Let z = -173 - -172. What is the nearest to z in -5, -6/5, -6? -6/5 Let w = -0.094 + 0.074. Which is
{ "pile_set_name": "DM Mathematics" }
**3). 40*u**3 Expand 5*f - 2 + 2 - 44*f + 14*f + 9*f + (4 + 2 - 4)*(f + 0*f - 2*f). -18*f Expand (7*x**2 + 7*x**2 - 13*x**2)*(0*x + 4 + 11*x + 0 - 8). 11*x**3 - 4*x**2 Expand (0 + 0 + 3*a)*(25 - 15 + 6) + a + 0*a - 6*a. 43*a Expand (-8086*k**2 + 8086*k**2 - 5*k**5 + 5 - 2*k)*(-1 + 0 + 2). -5*k**5 - 2*k + 5 Expand (2*l**2 + 4*l**2 - 4*l**2)*(-l**2 + 1 - 1) + 4*l**3 + l**4 - 4*l**3 + (4*l**3 - l**3 - l**3)*(-2*l - 1 + 1) + 5*l**4 + 2*l**4 + 0*l**4. 2*l**4 Expand (-13 - 5 + 7 - 3)*(0*c**2 - 3*c**2 + c**2). 28*c**2 Expand (18*l - 25*l + 26*l)*(-50 - 59 + 46). -1197*l Expand (6*u - 2*u - 2*u)*((19 - 19 - 3*u**2)*(2 - 2 + 1) + (u - 4*u + u)*(-u + 0*u + 0*u) + 2*u**2 - 3*u**2 + 2*u**2 - 2*u**2 - 4*u + 4*u). -4*u**3 Expand (-17*f + 39 - 24*f + 43*f)*((0 + 2*f + 0)*(f + 0*f - 4*f) + 0*f**2 + 2*f**2 + 0*f**2 + 6*f**2 - 3*f**2 - 2*f**2). -6*f**3 - 117*f**2 Expand (-a**3 - a**3 + 3*a**3)*(1034 + 22*a - 20*a - 356). 2*a**4 + 678*a**3 Expand (-2*a + a + 0*a + (4*a + 0*a - 6*a)*(-1 + 4 - 1))*(3 - 2*a - 3)*(2*a - a**2 - 2*a). -10*a**4 Expand (-3*u**3 + 3*u**3 + 2*u**3)*(-4 - 2*u + 4) - 9*u**4 - 5*u**4 - u**4 - 7*u + 7*u - 14*u**4. -33*u**4 Expand (-4 + 5 - 3)*(0 - 3 + 0)*(-9 + 5*z + 6*z + 7*z). 108*z - 54 Expand (-2*u + 1 - 1)*(-2*u**4 - u**4 + u**4) + (-18 - 2*u + 18)*(0*u**4 - 4*u**4 + u**4) - u**5 + u**5 + 3*u**5. 13*u**5 Expand (-4 + 2 + 3 + (2 + 1 - 5)*(8 + 0 + 5))*(-2 + 3*k + 2). -75*k Expand (-38*o - 7*o**2 + 38*o)*(-3 + 2 + 2)*(-2 - 1 + 6). -21*o**2 Expand (-66*l + 19*l + 19*l)*(-2*l + 6*l - l). -84*l**2 Expand 3*m**4 + 3*m**4 - 5*m**4 + (-2*m**3 + 2*m**3 + m**3)*(0*m + 0*m - 2*m) + 8 + 58*m**4 - 13 + 2. 57*m**4 - 3 Expand (66*n + 37 - 37)*(-2*n**2 - 3*n + 3*n). -132*n**3 Expand (4*p - 2 + p + 5*p)*(1 + 2 - 2)*(-2 + 1 + 0)*(2 - 2 - 1). 10*p - 2 Expand (-1 + 0 + 0)*(13 - 41 - 19)*(w - 3*w + 0*w)*(3 - 2 - 2). 94*w Expand (2*w + 38 - 2 - 34)*(-4*w**2 - 2*w**2 + 3*w**2). -6*w**3 - 6*w**2 Expand (2*r**3 + 0*r**3 - 3*r**3)*(-3*r**2 + r**2 + r**2)*(-2 - 22 - 6). -30*r**5 Expand (-7*r + 12*r - 2*r)*(3*r + 2*r + 2*r)*(-5 + 5 + 2). 42*r**2 Expand (-13 + 9 - 1)*(0*z**5 - 2*z**5 + 4*z**5) - 3*z**5 + 0*z**5 + 2*z**5. -11*z**5 Expand (-2*u + 3*u - 2*u)*(-3 + 2*u + 3 + (1 + 9 - 3)*(3*u + 3*u - 2*u) + u + u + 4*u). -36*u**2 Expand ((3*k - k - k)*(1 - 5 + 1) + k - 2 + 2)*(-2*k + k - k). 4*k**2 Expand (3 - w - 3)*((-1 + 2 + 0)*(5 - 3 - 3) + (-3 - 2 + 4)*(-4 + 2 + 0))*(1 + 0 - 3)*(-6 + 0 + 2). -8*w Expand (28 - 28 + 8*t**2)*((2*t - 2*t + t)*(-2*t + 0*t + 3*t) + 7*t**2 + 15*t**2 - 4*t**2). 152*t**4 Expand -u + u - u + 0*u - 2*u + u + (-1 + 2 - 3)*(3*u - 10 + 10) + 7*u + 7 - 7. -u Expand 3 - 2*q**2 - 3 - 12*q - 2*q**2 + 12*q + 2*q**2 - 2*q**2 - q**2 + (2*q + 2*q - 6*q)*(5*q - 2*q - 2*q) + 2*q**2 - 4*q**2 + 0*q**2. -9*q**2 Expand (-1 - m + 5 - 2)*(-3 - 2 + 4 + (-2 + 5 - 2)*(5 - 2 + 0) + 5 + 5 - 5 - 4 + 1 + 1 - 4 + 7 + 4). -12*m + 24 Expand -2*g**2 + 0 + 0 - 13*g**2 + 5 - 5 + (4*g - 5*g + 0*g)*(3*g - 3*g + 2*g) + 0*g**2 - 3*g**2 - 3*g**2. -23*g**2 Expand (-85*s + 33*s + 42*s)*(6*s**3 - 4*s**3 - 3*s**3) + (s**2 + 2*s**2 - 4*s**2)*(-s**2 + 0*s**2 - s**2). 12*s**4 Expand -y + 3*y - 20*y + (0*y + 3*y - 2*y)*(4 + 1 - 3) - 5*y + 6*y - 2*y + 3 - 3 + 3*y + 2*y - 3*y + 3*y. -12*y Expand ((2 - 3 + 2)*(4*q + q - 6*q) - q - 2*q + 2*q - 3*q + 0*q + 2*q - q + 4*q - 4*q - 184*q + 117*q - 215*q)*(0*q + 2*q + 0*q). -572*q**2 Expand (-1 - 1 - 1)*(-69*b - 1 + 23*b + 32*b + b**4). -3*b**4 + 42*b + 3 Expand (84 + 72 - 2*y - 57)*(y**4 + 2*y**4 - 5*y**4). 4*y**5 - 198*y**4 Expand (4*y**2 - 4*y**2 - y**3)*(-2*y + 7*y - 3*y) + (-4 + 4 - 6*y**2)*(6*y**2 + 12*y**2 + 35*y**2). -320*y**4 Expand (7*x - 9*x - 3 - 8)*(24*x**3 + x**3 + 3*x**2 + 2*x**3). -54*x**4 - 303*x**3 - 33*x**2 Expand -b**2 - b**4 + b**2 + (2*b**4 - 3*b**4 + 3*b**4)*(0 - 2 + 1) + 0*b + 0*b - b**4 + 44*b - 44*b + 25*b**4 + 3 + 3 + 32*b**4 - 8. 53*b**4 - 2 Expand (l + l - 7*l)*(4*l + 0*l - 2*l)*(28*l + 11 - 2*l - 13). -260*l**3 + 20*l**2 Expand (2*r**3 + 3*r**2 - 3*r**2)*(1 + r - 1) + 333 + 342 - 4*r**4 - r - 711. -2*r**4 - r - 36 Expand (-2*k - 2*k + 2*k)*(7*k**2 + k - 2*k + k**2)*(-11*k + 7*k - 2*k). 96*k**4 - 12*k**3 Expand (389 - 205 - 275)*(0 + v + 0)*(-1 + 2 - 3)*((3 + 2 - 4)*(v**4 - 2*v**2 + 2*v**2) - 3*v**4 + 3*v**4 - 2*v**4 + 3 - v**4 - 3). -364*v**5 Expand 9*a**2 - 2*a**2 - 2*a**2 + (-a + 4 - 4)*(-4*a + 6*a + a) - 20*a**2 + 53 - 53. -18*a**2 Expand 21*p - 8*p**3 + 2 - 21*p + (-p + 5 - 5)*(3*p**2 + 12*p**2 + 16*p**2). -39*p**3 + 2 Expand (3 + 3 - 5 + (-2 - 1 + 1)*(0 + 1 + 1) + 1 + 1 + 0 + (6 - 1 - 3)*(0 + 1 - 2) - 2 - 3 + 4)*(0 + 0 + 2*q) + (-1 + 0 - 1)*(6*q + 0*q - 4*q) - 5*q + q + 3*q. -13*q Expand 122*r**3 + 13*r**3 - 5*r**3 + 4 - 4 + r**3 + (4*r + 3*r - 6*r)*(-1 + 2*r**2 + 1) + 3*r**3 - 3*r**3 + 2*r**3. 135*r**3 Expand (-616 - 150 - 43)*(2*t + 0 + 0). -1618*t Expand (4 + 2*h - 4)*(-279 - 57 + 165 - 256). -854*h Expand (b - 3*b + b)*(-1 + 2*b + 1) + 0*b**2 + b**2 - 3*b**2 + 10*b**2 - 18*b**2 - 17*b**2 + (-4*b**2 - 3*b**2 + 4*b**2)*(0 + 3 - 4). -26*b**2 Expand (6 + 4 - 6)*(-2*z + 7*z + 0*z)*(-2*z**3 + 0*z**3 + 3*z**3). 20*z**4 Expand (11*o + 12*o + o + (-1 + 2 - 3)*(-o - 2*o + 4*o))*(-4*o + 3*o**2 - 4*o**2 + 3*o**2)*(6 - 4 + 3). 220*o**3 - 440*o**2 Expand (3*t - 7*t - t)*(-t - 3*t + 5*t + 0*t + 4*t - 3*t + (-t + 0 + 0)*(-3 + 2 + 3) + 2*t - t - 2*t + (0 + 1 - 3)*(-3*t + t + 3*t)). 15*t**2 Expand (7 - 2 + 0)*(0 + 3 + 3)*(v + 2 - 2)*(-43 + 9*v**2 + 43). 270*v**3 Expand ((-1 - 2 + 4)*(-2*r**2 + r**3 + 2*r**2) - 28*r**3 + 821 - 821)*(r**2 + 4*r**2 + r**2)*(2 - 2 + 1). -162*r**5 Expand (5 - 4 - 2)*(g**2 - 4*g**2 + 5*g**2) + 8*g**2 + 57*g**2 + 130*g**2. 193*g**2 Expand 0*y**2 + 0*y**2 - y**3 + (20*y**2 - 14*y**2 - 16*y**2)*(2*y + 4*y - 11*y). 49*y**3 Expand 3*m + 5*m - 4*m + ((5 - 2 - 1)*(-2 + 3 + 0) - 2 + 1 + 3)*(-543 + 31*m + 543). 128*m Expand (2*u**3 + 3*u**3 - 6*u**3)*(-16 + u + 14 - 3*u) + (0 + u**3 + 0)*(31*u - 17 + 17). 33*u**4 + 2*u**3 Expand (-10*q + 3*q + 10*q)*(2*q**2 + 0*q**2 - 3*q**2 - 2*q**2 + 2*q**2 + q**2 + 2 + 2*q**2 - 2 + (q + 2 - 2)*(2*q + 0*q - 3*q))*(q + 4 - 4). 3*q**4 Expand -200*q**3 + 170*q - 170*q + (4*q - 4*q - q**2)*(-q - 2*q + 4*q) - 2*q**3 + 0 + 0 + 3*q**3 + 4*q**3 - 5*q**3 + q**3 + 0*q**3 - 2*q**3. -202*q**3 Expand (-v - 4*v + 3*v)*(19 - 5 + 10) + v - 3*v + 3*v - 5*v + 2*v + v. -49*v Expand -29*y**2 + 2*y**2 + 5*y**2 + (0 + 2 + 0)*(6*y**2 - 4*y**2 - 4*y**2) - 4 - y**2 + 4. -27*y**2 Expand -46*j - 29*j - 21*j - j - j + 0*j + (-2 - 2 + 6)*(-1 - j + 1) + 2*j - 3*j + 3*j - 1 + 1 + 2*j + (j - 2 + 2)*(4 - 13 + 19). -86*j Expand (-2*y + 4*y - y)*(-2 + 3 + 0) + (1 - 5 + 6)*(-32 - 3*y + 32). -5*y Expand (3 - 6 + 2)*(-10*o**2 + 6*o**2 + 5*o**2)*(4*o + 0*o - 2*o)*(13*o**2 - 2*o + 2*o)*(-4 + 0 + 3). 26*o**5 Expand (-464*o - 7*o**2 + 464*o)*(o**2 - 3*o**2 + o**2 + (4*o - o - 2*o)*(-o + 0 + 0)) - 3*o**2 + 3*o**2 - 2*o**4. 12*o**4 Expand (-3*p + 1 - 1 + (-2 + 2 + p)*(0 + 0 - 1) + 5*p - 3*p - 4*p)*((2*p - 3*p - p)*(-6*p - 9*p + 4*p) + p**2 - 15 + 15). -138*p**3 Expand (-j + j + 3*j)*(-2*j + 3*j - 3*j)*(246 + 62 - 72). -1416*j**2 Expand -3*a**2 + 2*a**4 + 0*a**2 + 2*a**2 + (a**2 - 2*a**2 + 0*a**2)*(-11 - 3*a + 11)*(-2 + 4*a + 2). 14*a**4 - a**2 Expand 3*j**4 - 3*j**4 + j**4 - 2*j**4 + 2*j**4 + 5*j**4 + (-2*j**2 + j - j)*(2*j**2 + 6*j**2 + 2*j**2). -14*j**4 Expand (-2*p + 2*p + 2*p**3)*(((1 + 1 - 4)*(-p + 0*p + 0*p) - 2*p + p + 4*p)*(2 - 2 - 3*p) - 3*p**2 + 0*p**2 + p**2). -34*p**5 Expand (-4 + 3 + 2)*(-21*a**2 + 21*a**2 + 15*a**2 - 2*a). 15*a**2 - 2*a Expand 0*n**4 - n**4 + 4*n**4 + (0 + 0 - 2*n**2)*(1 - 1 - 2*n**2) + (3*n**3 - 4*n + 4*n)*(-4*n + 0*n + 2*n). n**4 Expand -2*m**4 + 1 - 1 + (-2*m**2 - m**2 + 2*m**2)*(2*m**2 - 4*m**2 - 6*m**2). 6*m**4 Expand 6*y**5 + 1 + 12*y**5 + 0*y**5 + (-2*y**5 + 5*y**5 - y**5)*(0 + 2 + 6). 34*y**5 + 1 Expand (r + r - r)*(5 + 1 - 4) + (3 + 5 - 7)*(5*r - 7*r - 6*r). -6*r Expand (2*w - 3*w + 3*w)*(-20 - 7 + 86) + (-3 + 2 + 0)*(-w - w + 3*w) + 2*w - 4*w + w - 2*w + 1 - 1. 114*w Expand (63*b + 8 - 8 + 85*b)*(-4 - 2 + 1). -740*b Expand ((-4*x**2 + x**2 + 2*x**2)*(x - 2*x + 0*x) + x**3 + 3*x**3 + 2*x**3)*(-222 - 40*x + 222). -280*x**4 Expand 5*p**5 + 91 - 91 - p**3 + 0*p**5 + 0*p**5 + 2*p**5 + (p**5 - 2*p**2 + 2*p**2)*(-1 + 3 - 1) + 0*p**4 + 0*p**4 + p**5. 9*p**5 - p**3 Expand (-7*k - 8
{ "pile_set_name": "DM Mathematics" }
*j - 20. Determine -18*a(s) - 5*y(s). 3*s**2 + 3183*s Let v(s) = 4*s**2 + 5*s + 2. Let t(p) = p**3 - 8*p**2 - 8*p + 5. Let g be t(9). Let k(r) = 23*r + 8*r + 6 - 9 + g + 21*r**2 - 6*r. Give -2*k(h) + 11*v(h). 2*h**2 + 5*h Let k(u) = -6185*u**3 - 2*u - 2. Let c(w) = -24737*w**3 - 9*w - 9. Give 2*c(y) - 9*k(y). 6191*y**3 Let p(i) = -21*i + 161. Let s(o) = 2*o + 4. Determine -2*p(w) - 22*s(w). -2*w - 410 Let c(h) = -40*h + 8. Let x(s) = -40*s + 9. Suppose -2*z - 38 = -3*q, -3*z - 23*q = -25*q + 37. What is z*c(m) + 6*x(m)? 40*m - 2 Let m(h) = -2*h + 2. Let x(t) = -t**2 + 8*t + 663. Let y be x(30). Let v(w) = 2*w - 3. What is y*m(g) + 2*v(g)? -2*g Let p(k) = -38*k + 537. Let o(g) = -18*g + 266. Give -5*o(w) + 2*p(w). 14*w - 256 Let w(i) = -151*i**2 - 5*i + 16. Let z(l) = 150*l**2 + 4*l - 13. What is 4*w(h) + 5*z(h)? 146*h**2 - 1 Let w be (8/16)/(1/2). Suppose -b + 0 = -w. Let g = 12 - 17. Let o(c) = c**2 - 1. Let i(q) = 3*q**2 - 5. Determine b*i(h) + g*o(h). -2*h**2 Let n(t) be the first derivative of 5*t**4/4 + 2*t**3 + 6*t - 843. Let k(z) = -4*z**3 - 5*z**2 - 5. Determine 6*k(m) + 5*n(m). m**3 Let d(q) = 5*q - 16. Let z(t) = -6*t + 14. Determine -3*d(c) - 2*z(c). -3*c + 20 Let t = 0 + -177. Let r = -175 - t. Let c(k) = -13*k**2 - 7*k + 7. Let o(z) = -4*z**2 - 2*z + 2. What is r*c(u) - 7*o(u)? 2*u**2 Let b(m) = -3*m**3 + 6*m**2 - 4*m + 3. Suppose 0 = 70*j - 61 + 831. Let g(v) = 8*v**3 - 17*v**2 + 11*v - 8. Give j*b(x) - 4*g(x). x**3 + 2*x**2 - 1 Let p(v) = 3*v**3 - 2*v**2 + 10*v + 2. Let n(u) = -u**3 + u**2 - 12*u - 2. What is 5*n(m) + 6*p(m)? 13*m**3 - 7*m**2 + 2 Let b(d) = -5*d**2 + 6*d - 5. Suppose o + 2*l - 49 = -32, -12 = 4*l. Suppose 36*t - o*t - 39 = 0. Let u(r) = -4*r**2 + 5*r - 4. Calculate t*b(k) - 4*u(k). k**2 - 2*k + 1 Let g(p) = -16 - 12 - 77*p - 19 + 47 - 22. Let s(y) = -11*y - 3. Calculate -3*g(u) + 22*s(u). -11*u Let f(b) = 2*b**2 - 12*b + 254. Let n(j) = -2*j**2 + 19*j - 253. Determine -3*f(t) - 2*n(t). -2*t**2 - 2*t - 256 Let j = -97080 + 97079. Let q be -1*(-1 + -1) + -8. Let f(h) = -h - 1. Let r(l) = 7*l + 12. Give j*r(y) + q*f(y). -y - 6 Let t(h) = -3*h**3 + 4*h. Let l(z) = -12*z + 85764 - 85764 + 11*z. Calculate -12*l(d) - 3*t(d). 9*d**3 Let n(g) = g**3 - g**2 - g - 1. Let t(d) = 10*d**3 + 2*d**2 + 2*d + 2. Let c(s) = -s**2 - 2*s + 1025. Let q be c(-33). Give q*n(x) + t(x). 12*x**3 Let m(z) = 5*z + 4. Let b(c) = 116*c**2 + 347*c - 1. Let h be b(-3). Let q(i) = -9*i - 8. Calculate h*q(a) + 5*m(a). 7*a + 4 Suppose 22*m + 1212 = 18*m. Let j = 286 + m. Let z(b) = -3*b**3 - 17*b**2 - 6*b - 17. Let y(l) = -l**3 - 6*l**2 - 2*l - 6. Determine j*y(r) + 6*z(r). -r**3 - 2*r Let j(h) = 61*h**2 - 70*h + 18. Let t(p) = -30*p**2 + 33*p - 8. Give 4*j(d) + 9*t(d). -26*d**2 + 17*d Let h(j) = j**2 - j - 5. Let i(g) = g**3 - g**2 + 8*g + 47. What is -8*h(q) - i(q)? -q**3 - 7*q**2 - 7 Let a(r) = -r + 3. Let c(b) = 6 + 1 + 9 - 4 - 4*b + 0. Calculate -9*a(s) + 2*c(s). s - 3 Let o(t) = -9*t + 11. Let x(d) = 19*d - 21. Calculate 11*o(s) + 6*x(s). 15*s - 5 Let k(f) = 45*f**2 - 65*f - 60. Let m(r) = 46*r**2 - 52*r - 60. Give 4*k(g) - 5*m(g). -50*g**2 + 60 Let a(l) = 7*l**3 - 4*l**2 + 4*l - 4. Let r(z) = 112*z**3 - 4*z**2 + 63*z - 560 - 59*z**2 + 497. Calculate -63*a(p) + 4*r(p). 7*p**3 Let y(h) be the third derivative of -h**4/8 - 5*h**3/6 + 378*h**2 + 2*h. Let b(m) = 2*m + 6. Calculate -4*b(s) - 3*y(s). s - 9 Let p(x) = -10*x**3 + 6*x**2 + 5*x. Let i = 62 + -27. Suppose -24 = i*l - 234. Let z(d) = 11*d**3 - 7*d**2 - 6*d. Determine l*z(t) + 7*p(t). -4*t**3 - t Let n(b) = -433*b**3 - 12*b**2 - 6*b + 6. Let i(s) = -435*s**3 - 10*s**2 - 4*s + 5. What is 6*i(r) - 5*n(r)? -445*r**3 + 6*r Let d(f) = 4*f**3 + 3*f**2 + 7*f + 2. Let h be ((-15)/(-12))/((3/24)/((-29)/(-58))). Let w(g) = -5*g**3 - 3*g**2 - 8*g - 3. What is h*w(a) + 6*d(a)? -a**3 + 3*a**2 + 2*a - 3 Let n(c) = 2*c**2 - 1. Let r(m) = -6*m**2 - 5*m + 14. What is 8*n(g) + r(g)? 10*g**2 - 5*g + 6 Let d(x) be the third derivative of -x**3/6 + 3218*x**2 + x - 1. Let i = 21 - 13. Let j(o) = -2*o - 10. Determine i*d(p) - j(p). 2*p + 2 Let a(r) = -5*r + 15*r**3 + 14*r**3 + 8*r + 4 - 30*r**3. Let w(j) = j**3 - 4*j - 5. Let x = -9 + 15. Let l = -4 - -9. Calculate l*w(q) + x*a(q). -q**3 - 2*q - 1 Let z(r) = 2*r + 4826*r**2 - 2427*r**2 - 2427*r**2 + r + r. Let y(f) = -29*f**2 + 5*f. Calculate 5*y(k) - 6*z(k). 23*k**2 + k Let h(r) = -28*r**2 - 3*r. Let o(u) = -422*u**2 + 4760*u - 2400*u - 167*u**2 - 2422*u. What is 62*h(k) - 3*o(k)? 31*k**2 Let b(a) = -22*a + 1. Let d(y) = -3*y. Suppose 0 = -5*q + l, -4*q = 11*l - 6*l. Suppose 2*g - 11 = v, q = -2*v + g - 18 - 19. What is v*d(r) + 3*b(r)? -3*r + 3 Let g(r) = 3*r**3 - 6*r**2 - 53*r - 6. Let b(w) = -2*w**2 + w - 1. What is -3*b(f) + g(f)? 3*f**3 - 56*f - 3 Let y(z) = -56*z + 239. Let h(s) = 11*s - 48. Calculate 11*h(v) + 2*y(v). 9*v - 50 Let o(i) = -i**3 - 1. Let r(n) be the third derivative of n**6/4 + 11*n**3/3 + 2308*n**2. Calculate -88*o(k) - 4*r(k). -32*k**3 Let p = -173 + 242. Let s(b) = -b**2 + 147*b - p*b - 77*b. Let c(i) = -6*i**2 + 5*i - 1. Determine c(j) - 4*s(j). -2*j**2 + j - 1 Let v(y) = -y. Let s = -2890 - -2884. Let h(l) = -2*l + 4*l - 6*l**2 - 5*l. Give s*v(u) + 2*h(u). -12*u**2 Let y(q) = -46*q**3 + 4*q**2 + 4*q + 4. Let s = 28266 - 28371. Let o(t) = -1197*t**3 + 105*t**2 + 105*t + 105. Determine s*y(z) + 4*o(z). 42*z**3 Let v(x) = -44*x**2 - 2*x - 2. Suppose g - 4*k + k = 13, 4*g = -3*k - 38. Let y(s) = 87*s**2 + 5*s + 5. Give g*v(o) - 2*y(o). 46*o**2 Let k(b) = -9*b**2 - 2*b**2 + 0 - 22*b**2 - 11. Let r(g) = -1194*g + 13123. Let d be r(11). Let t(u) = 11*u**2 + 4. Give d*t(s) - 4*k(s). 11*s**2 Let v(u) = u - 1. Let x(r) = 7*r - 2. Suppose -2*t = 4*f, -5*t + 2*f + 3*f - 45 = 0. Give t*v(i) + 3*x(i). 15*i Let o(v) = 7*v + 373. Let n(l) = -12*l - 630. Let d(b) = 16*n(b) + 27*o(b). Let j(y) = 2*y + 4. Give -4*d(s) - 7*j(s). -2*s + 8 Let t(c) be the second derivative of -1/2*c**2 + 0 - 100*c + 1/6*c**3. Let m(f) = -3. Let u(q) = 20. Let l(z) = -32*m(z) - 5*u(z). Determine l(j) - 4*t(j). -4*j Let h = 157 - 155. Let q(w) = 6*w**h + 30 + 5*w**3 - 12 - 12. Let l(c) = 10*c**2 - 3*c**2 + 4*c**2 + 11 + 9*c**3. What is -6*l(x) + 11*q(x)? x**3 Let j(s) = 51*s**2 - 30*s - 3. Let x(m) = -69*m**2 + 31*m + 4. Give -4*j(r) - 3*x(r). 3*r**2 + 27*r Let p(c) = -8*c - 12. Let t(m) = -2*m - 3. Suppose 25*u + n - 4 = 24*u, 2*u - 5*n + 6 = 0. Suppose -u*v = b + 6, -b + 1 = v + 3. Calculate b*p(j) - 9*t(j). 2*j + 3 Let g(d) = -7*d. Let b(u) be the first derivative of -15*u**2/2 - 26. Suppose -t = -0*t - 4*l + 22, 3*t = -5*l + 19. Determine t*b(c) + 5*g(c). -5*c Let b(y) = -51*y**2 + 70*y + 893. Let a(x) = -8*x**2 + 12*x + 149. Determine 19*a(p) - 3*b(p). p**2 + 18*p + 152 Let w(n) be the third derivative of -n**4/24 - n**3/2 + n**2. Let g(o) = -o - 4. Let q = 81100 - 81105. Calculate q*w(p) + 4*g(p). p - 1 Let v(r) be the third derivative of r**4/6 + r**3/3 + r**2. Let z(y) = 9*y + 5. Suppose -142 = 65*t + 248. Determine t*z(x) + 14*v(x). 2*x - 2 Let l(n) = -2*n. Let g(z) = -3938*z - 1. What is -g(w) + 2*l(w)? 3934*w + 1 Let u = 66 + -64. Suppose -u = -2*w - 4*h, 8*h - 3*h - 15 = 0. Let l(g) = -g - 4. Let z(x) = 9 - 14 - 2*x + x + 0*x. What is w*l(n) + 4*z(n)? n Let j(k) = -k**2 + 3*k + 12. Let i(y) = -4*y**2 + 12*y + 44. Let s(d) = 3*i(d) - 11*j(d). Let p(w) = -4*w + 1. What is -2*p(c) - 3*s(c)? 3*c**2 - c - 2 Let g(v) = -v**3 + 2*v**2 + 2*v. Let p(c) = 49*c**3 - 10*c**2 - 7*c - 3. Calculate -5*g(m) - p(m). -44*m**3 - 3*m + 3 Let s(j) = -3*j**2 + 6*j + 1123. Let f(i) = -6*i**2 + 13*i + 2306. Calculate 6*f(l) - 13*s(l). 3*l**2 - 763 Let m(b) = 4*b. Let v(t) be the second derivative of t**5/20 + t**3 - 2274*t. What is -6*m(z) + 4*v(z)? 4*z**3 Let c(x) = 9*x**2 - x + 4. Let s(f) be the first derivative of -4*f**3/3 - 2*f - 273. Let j be -1 + (-3)/(-6)*10. Let a = -9 + j. What is a*s(p) - 2*c(p)? 2*p**2 + 2*p + 2 Let d(t) = 10*t**2 - 88*t - 14. Let y(z) = -2*z**2 + 19*z + 3. Give -3*d(r) - 16*y(r). 2*r**2 - 40*r - 6 Let n(o) = -5*o + 2. Let j(z) = 46 - 115 + 20 + 119*z. Suppose 5*y + 234 + 11 = 0. Determine y*n(v) - 2*j(v). 7*v Let b(u) = 2*u**2 + 2*u + 8. Let g(m) = 8502*m**2 - 12*m - 48. Give 6*b(h) + g(h). 8514*h**2 Let z(h) = h**2 - 5*h**2 + 3 + 3*h**3 - 2*h**3. S
{ "pile_set_name": "DM Mathematics" }
u(1)? -18 Let a(d) = d**2 - 25*d - 188. Suppose -31*n + 1646 = 1832. Calculate a(n). -2 Let q(v) = -9*v**3 - 9*v**2 + 3*v - 4. Suppose -116 = -15*a - 14*a. Let c(p) = 11*p**3 + 9*p**2 - 4*p + 4. Let b(g) = a*c(g) + 5*q(g). Give b(-9). 5 Let v(z) = -z**2 - 4*z - 4. Let h(f) = 2*f**3 + 31*f**2 + 16*f + 19. Let u be h(-15). Suppose u*g + 3*d + 19 = 4*d, 2*g + 5*d = -15. Calculate v(g). -9 Let h(w) = 50*w - 116*w - 26*w**2 - 47 + 35*w + 61*w + 25*w**2. Calculate h(28). 9 Let p(s) = -s**2 + 12. Let k be p(3). Let i(t) = -17 + 11*t**2 + 2*t**k - 5*t - 3*t**3 - 4*t - 4 + 10. Calculate i(10). -1 Let j(t) = -t - 11. Let p be j(-7). Let h(o) = o**2 + 27*o + 10. Let q be h(-27). Let z(x) = -6*x - 4*x**3 + q*x**3 - 6*x**2 + 9*x**3 - 16*x**3. What is z(p)? -8 Let j be (22/(-3))/((-58534)/8358 + 7). Let y(v) = j + 0*v + v**2 - 2186 - 7*v. Give y(6). -3 Let v(n) = n**2 + 6*n + 2. Let m = -49 + -77. Let h be (-21)/(-35) - (-5)/((-75)/m). Let o be h*(3 + 28/(-6) + 1). What is v(o)? 2 Let l(s) be the second derivative of -s**5/20 + 7*s**4/4 - 6*s**3 - 19*s**2 - 9*s + 181. Give l(19). 0 Let q(z) = -2*z + 3. Suppose -13 = 4*p - 13. Suppose p = -4*b, -7*u + 10*u = -2*b - 312. Let l = u + 111. Give q(l). -11 Suppose 3*v = v - 3*k - 9, 5*k = -4*v - 23. Let f(i) be the second derivative of i**5/20 + 13*i**4/12 + 13*i**3/6 + 3*i**2/2 + i - 6. Calculate f(v). -9 Let j(w) = -w**3 + 24*w**2 + 24*w - 25. Let z(n) = 2*n**3 - 50*n**2 - 55*n + 51. Let u(l) = -13*j(l) - 6*z(l). Calculate u(10). -1 Let n(l) be the first derivative of -1/2*l**2 - 10*l + 4 + 8/3*l**3 + 1/4*l**4. Calculate n(-8). -2 Let p(u) = -u + 3. Let t be p(4). Let n(d) be the first derivative of -d**4/4 + d**2/2 + d - 1470. Give n(t). 1 Let a(f) = f**2 + 5*f + 6. Let p(w) = 5*w**2 + 24*w + 37. Let m(c) = -11*a(c) + 2*p(c). What is m(-4)? 20 Let x(a) be the second derivative of -11*a**3/6 + 4*a**2 - 2*a + 27. Let k(g) = -23*g + 17. Let h(z) = 6*k(z) - 13*x(z). Calculate h(6). 28 Let j(o) = -41*o - 6. Let u be j(1). Let i = 11 + 34. Let s = i + u. Let c(a) = -2*a - 2. What is c(s)? 2 Let d(w) = -3*w**2 - w - 1. Let m(g) = -41*g - 1063. Let k be m(-26). Determine d(k). -31 Let l(s) = -s**3 - 19*s**2 + 19*s + 28. Let f(h) = -3*h**2 - 18*h - 44. Let p be f(-4). Calculate l(p). 48 Let a(f) = -22*f + 263. Suppose -233 = -65*o + 807 - 260. What is a(o)? -1 Let n(c) = 2*c + 1. Let v(q) be the third derivative of -1/24*q**4 + 1/120*q**6 + 10/3*q**3 - 4*q**2 + 0 + 0*q - 3/10*q**5. Let x be v(18). Calculate n(x). 5 Let h(o) = -15*o + 8. Let c be 4/(-46) - ((-73)/657 + 409/(-207)). Calculate h(c). -22 Let g(n) be the second derivative of -n**3/3 - 13*n**2/2 + 956*n. Give g(1). -15 Let j(z) = -z**2 + 2*z + 1. Let m(i) = -7*i**3 + i**2 + 4*i + 4. Let s be m(-2). Suppose 9*d + s = 164. Let b = d - 8. Give j(b). -7 Let y(k) = k**3 + 6*k**2 - 6*k - 3. Let u(t) = t - 28. Suppose -2*j + j + 9 = 3*h, -2*h = -2*j + 50. Let g be u(j). Give y(g). -10 Let z = 17 + -12. Let a(b) be the third derivative of -2*b**2 + 7/24*b**4 - 1/30*b**5 + 0 + 1/3*b**3 + 0*b. Calculate a(z). -13 Suppose 174*p + 21 = 171*p. Let b(a) be the second derivative of -a**3/6 - 3*a**2 + 3*a + 4. Calculate b(p). 1 Suppose -2*a - 2*o + 16 = 0, 0*a = -a - 4*o + 14. Let m(n) = 2*n**2 - 7*n - 3. Determine m(a). 27 Let p(s) = -5*s**3 + s**2 - 44*s + 1. Let l(f) = -3*f**3 - 25*f + 1. Let g(q) = -7*l(q) + 4*p(q). Let w = 7 + -3. Suppose 0 = -w*c + 2*c - 8. What is g(c)? 1 Let k(i) = i**2 + 6*i + 7. Let x(c) = -10*c + 19*c - 13*c + 7 + 4*c**2. Let a be x(3). Let r = a + -36. Determine k(r). 2 Let r(g) = -g**2 - 19*g - 91. Let h be -2 + (6 + -14)*(2 - 3 - -2). Calculate r(h). -1 Let y(j) = -j**3 - 9*j**2 + 7*j - 29. Suppose 152*x - 135*x = -170. Determine y(x). 1 Let r(b) = 2*b**2 + 142*b + 15. Let t(h) = -9*h**2 - 677*h - 74. Let z(g) = -14*r(g) - 3*t(g). Give z(43). 12 Let t(h) = -1479*h + 736*h + 708*h - 2. Give t(-1). 33 Let l(z) = -2*z**3 - 3*z**2 - z + 162. Let r be l(0). Suppose 155*a - 42 = r*a. Let s(j) = -1 - 5*j**2 - 3*j - j**3 - 3*j**2 - 5*j - 2. What is s(a)? -27 Suppose 0 = -2*p - m - 133, -3*m + 84 = p - 2*p. Let d = -71 - p. Let n(f) = f + 2. Let o(u) = -1. Let g(k) = d*n(k) - 7*o(k). What is g(5)? -7 Suppose 145*s - 6*s + 2184 = -29*s. Let o(q) be the first derivative of -q**3/3 - 15*q**2/2 - 19*q + 1. Give o(s). 7 Let f(j) = -j**3 + 5*j**2 - 5. Let c(k) = -k**3 + 9*k**2 - 8*k + 9. Let a(y) = -5*y - 7. Let s be a(-3). Let v be c(s). Suppose 4*w - v = 11. Calculate f(w). -5 Let j be ((-32)/(-20))/((-56)/(-70)). Let q(a) = a**2 + 6*a + 9. Let y be q(-6). Let s(x) = 0 + 7*x - 3 - 2*x**j + 2*x**3 - y*x - x**3. Give s(3). 0 Let p(y) = 58*y**3 + 28*y**2 + 6*y + 121. Let o(x) = 28*x**3 + 13*x**2 + 3*x + 56. Let u(f) = 13*o(f) - 6*p(f). Give u(-2). -128 Let z(n) = n - 3827*n**2 - 3 + 3819*n**2 + 4. Calculate z(-1). -8 Let n be (-6 - -12)/(3/1). Let v(x) = -3 - n*x - x + 0*x + 0*x - x. What is v(-5)? 17 Let o(v) be the first derivative of -v**3/3 + 3*v**2/2 + 27*v + 2201. Give o(-4). -1 Let j(x) = 256*x + 4602. Let o be j(-18). Let v(d) = -7*d**3 - 11*d**2 + 12*d + 5. Let f(y) = y**3 + y**2 - y - 1. Let c(l) = -6*f(l) - v(l). What is c(o)? 1 Let m(u) = -3*u + 1. Let i be m(0). Let s(y) = -y + 1. Let n(c) = -6*c - 4. Let b(a) = i*n(a) - 3*s(a). What is b(-5)? 8 Let z(s) = s**2 - 30*s + 184. Let b be z(21). Let f(m) = m + 1. Let n(p) = p**2 + 9*p + 1. Let j = -4 - 1. Let o(g) = j*f(g) + n(g). Give o(b). 1 Let o(d) = 1367 - 159 - 6*d + d**3 + 17*d**2 - 1195. Determine o(-18). -203 Let i(s) = s**2 + 105*s + 2568. Let y be i(-66). Let p(f) = -f**3 - 2*f**2 + 21*f + 1. Give p(y). 19 Let m(p) = 8*p**3 - 32*p**2 - 13. Let a be m(4). Let s(d) = d**2 + 13*d - 13. Calculate s(a). -13 Let f(d) = -d**2 - 22*d - 92. Suppose -2*l - 4*p - 32 = 0, 4*l = 2*p - 93 + 19. Calculate f(l). -20 Let h(d) = 24*d. Let y = -2416 - -2417. Calculate h(y). 24 Let v(h) be the first derivative of -h**5/60 + 3*h**4/8 - 5*h**3/6 - 81*h**2 + 138. Let n(m) be the second derivative of v(m). Determine n(6). 13 Let m = 133 + -128. Let r(h) be the first derivative of -3*h**2 - 4*h + 40. What is r(m)? -34 Suppose 30 = 4*t - 10. Let v(i) = 3 - 21*i + 13*i + 3 + t*i - i**2. Determine v(6). -18 Suppose -8 = -2*z + 3*t, 13 = 5*t - 7. Let g(r) = 10 + 84*r**2 + 9*r - 14 - 85*r**2 + 5. Determine g(z). -9 Let t be -2*(14/4)/(-7). Suppose -y = 3*z - 5, z - 3*y = -t + 6. Let x(c) = -z*c + 3 + 2*c - 1 - c. Calculate x(-3). 5 Let p(t) = -23*t + 133. Let v be ((-540)/(-210))/((-9)/(-21)). What is p(v)? -5 Let h(w) = -35*w - 248. Let m be h(-7). Let p(g) = -986*g + 491*g + 496*g - 3. Give p(m). -6 Let h(r) be the third derivative of 17*r**5/60 + r**4/12 + 16*r**2. Let o be h(4). Let l(z) = -280*z + z**2 + o*z - 2. What is l(0)? -2 Let s(n) = 11*n + 25. Suppose 0 = -42*k - 48*k + 3*k - 870. Calculate s(k). -85 Suppose -3 = -2*z - 3*b, b + 2*b = -3*z + 3. Suppose z = h - 5*h + 8. Let q(d) = -d**3 + 2*d**2 - d. Determine q(h). -2 Let f be (-1 + (-28)/(-16))/((-1)/(-4)). Let p(z) = -28*z**3 + 0*z - 5*z**2 + 55*z**3 + 5 - 26*z**f - 7*z. What is p(6)? -1 Let v(s) = -3*s - 13. Let y = -731 + 437. Let l = -299 - y. Calculate v(l). 2 Let y(s) = s**3 + 9*s**2 - 14*s - 6. Let w = -1116 + 621. Let l = w + 485. What is y(l)? 34 Let m(k) be the first derivative of 2/3*k**3 + 3*k - 3/2*k**2 + 97 - 1/4*k**4. Calculate m(2). -3 Let s(v) = -15*v**3 - 38*v**2 + 41*v + 98. Let a(i) = 98*i**3 + 226*i**2 - 247*i - 588. Let w(j) = 2*a(j) + 13*s(j). Calculate w(41). 16 Suppose 85*p + 45 = 517 + 123. Let v(h) = h - 22. Calculate v(p). -15 Let g(d) = -d**2 - 168*d + 507. Let o be g(3). Let w(x) = -15*x - 96. Determine w(o). -6 Let c(m) = -11*m**2 + 10*m - 11. Let p(k) = 35*k**2 - 31*k + 36. Let g(t) = -19*c(t) - 6*p(t). Give g(0). -7 Let t(r) = -64*r**2 - 8*r - 59*r**2 - 58*r**2 + 4 - 58*r**2 + 240*r**2 - r**3. Let k(i) = i**3 + 9*i - 4. Let y(x) = 6*k(x) + 7*t(x). Determine y(7). -10 Let p(o) be the first derivative of 11*o**2/2 - 257*o + 1915. What is p(23)? -4 Let u = 5129 + -5129. Let m(c) = -c**2 + c - 4. Calculate m(u). -4 Let c(q) = 18*q**2 + 3*q**2 - 2*q**2 + 2*q + 5*q**2 - 5*q**2 + 3. Determine c(-1). 20 Let b(g) = 29 + 34*g - 1377*g**3 - 2 - g**2 + 1376*g**3. What is b(-6)? 3 Let l(m) be the second derivative of -m**4/12 - 7*m
{ "pile_set_name": "DM Mathematics" }
th root of 149082 to the nearest integer? 5 What is 729 to the power of 1/2, to the nearest integer? 27 What is the third root of 376 to the nearest integer? 7 What is the cube root of 109151 to the nearest integer? 48 What is 18765 to the power of 1/2, to the nearest integer? 137 What is 5573 to the power of 1/5, to the nearest integer? 6 What is 970 to the power of 1/5, to the nearest integer? 4 What is the eighth root of 23169 to the nearest integer? 4 What is 8940 to the power of 1/6, to the nearest integer? 5 What is 139737 to the power of 1/3, to the nearest integer? 52 What is 165 to the power of 1/5, to the nearest integer? 3 What is the square root of 6391 to the nearest integer? 80 What is 23602 to the power of 1/2, to the nearest integer? 154 What is 457 to the power of 1/2, to the nearest integer? 21 What is the cube root of 25550 to the nearest integer? 29 What is 3823 to the power of 1/3, to the nearest integer? 16 What is 42743 to the power of 1/2, to the nearest integer? 207 What is 1673 to the power of 1/5, to the nearest integer? 4 What is the ninth root of 1062 to the nearest integer? 2 What is the third root of 96915 to the nearest integer? 46 What is the square root of 24453 to the nearest integer? 156 What is the third root of 424 to the nearest integer? 8 What is 102860 to the power of 1/3, to the nearest integer? 47 What is the cube root of 50082 to the nearest integer? 37 What is the third root of 2112 to the nearest integer? 13 What is 735 to the power of 1/2, to the nearest integer? 27 What is 12865 to the power of 1/8, to the nearest integer? 3 What is the third root of 1003 to the nearest integer? 10 What is the cube root of 693 to the nearest integer? 9 What is the square root of 8769 to the nearest integer? 94 What is 601 to the power of 1/4, to the nearest integer? 5 What is 3270 to the power of 1/8, to the nearest integer? 3 What is 5924 to the power of 1/10, to the nearest integer? 2 What is 2012 to the power of 1/7, to the nearest integer? 3 What is the cube root of 59 to the nearest integer? 4 What is 3397 to the power of 1/4, to the nearest integer? 8 What is 85537 to the power of 1/2, to the nearest integer? 292 What is the third root of 4986 to the nearest integer? 17 What is the square root of 4608 to the nearest integer? 68 What is 30639 to the power of 1/6, to the nearest integer? 6 What is 1910 to the power of 1/3, to the nearest integer? 12 What is the square root of 470 to the nearest integer? 22 What is 60602 to the power of 1/3, to the nearest integer? 39 What is the square root of 23196 to the nearest integer? 152 What is the seventh root of 11007 to the nearest integer? 4 What is 5035 to the power of 1/10, to the nearest integer? 2 What is the tenth root of 885 to the nearest integer? 2 What is the cube root of 5918 to the nearest integer? 18 What is the cube root of 1710 to the nearest integer? 12 What is the cube root of 55390 to the nearest integer? 38 What is 24774 to the power of 1/2, to the nearest integer? 157 What is the third root of 13887 to the nearest integer? 24 What is 14746 to the power of 1/2, to the nearest integer? 121 What is the fourth root of 54132 to the nearest integer? 15 What is the third root of 2101 to the nearest integer? 13 What is the cube root of 8186 to the nearest integer? 20 What is the third root of 1648 to the nearest integer? 12 What is the ninth root of 1172 to the nearest integer? 2 What is 52798 to the power of 1/6, to the nearest integer? 6 What is the third root of 46999 to the nearest integer? 36 What is 1014 to the power of 1/8, to the nearest integer? 2 What is the third root of 68941 to the nearest integer? 41 What is the fourth root of 2416 to the nearest integer? 7 What is the sixth root of 32699 to the nearest integer? 6 What is the tenth root of 20017 to the nearest integer? 3 What is 17215 to the power of 1/10, to the nearest integer? 3 What is 8028 to the power of 1/7, to the nearest integer? 4 What is 39191 to the power of 1/3, to the nearest integer? 34 What is the cube root of 10281 to the nearest integer? 22 What is the square root of 1046 to the nearest integer? 32 What is 319 to the power of 1/2, to the nearest integer? 18 What is the square root of 3593 to the nearest integer? 60 What is 2134 to the power of 1/2, to the nearest integer? 46 What is the third root of 2790 to the nearest integer? 14 What is the sixth root of 792 to the nearest integer? 3 What is 13109 to the power of 1/8, to the nearest integer? 3 What is 8234 to the power of 1/3, to the nearest integer? 20 What is 3070 to the power of 1/2, to the nearest integer? 55 What is the cube root of 222 to the nearest integer? 6 What is 8744 to the power of 1/10, to the nearest integer? 2 What is the third root of 7265 to the nearest integer? 19 What is the cube root of 1278 to the nearest integer? 11 What is 505 to the power of 1/2, to the nearest integer? 22 What is 1713 to the power of 1/2, to the nearest integer? 41 What is 1575 to the power of 1/2, to the nearest integer? 40 What is 6740 to the power of 1/2, to the nearest integer? 82 What is 2145 to the power of 1/6, to the nearest integer? 4 What is the square root of 6409 to the nearest integer? 80 What is the cube root of 1419 to the nearest integer? 11 What is 1903 to the power of 1/5, to the nearest integer? 5 What is 2130 to the power of 1/6, to the nearest integer? 4 What is the third root of 23316 to the nearest integer? 29 What is the tenth root of 24155 to the nearest integer? 3 What is 47228 to the power of 1/3, to the nearest integer? 36 What is 1570 to the power of 1/6, to the nearest integer? 3 What is 3929 to the power of 1/4, to the nearest integer? 8 What is 5385 to the power of 1/3, to the nearest integer? 18 What is the cube root of 29421 to the nearest integer? 31 What is the cube root of 42358 to the nearest integer? 35 What is 25128 to the power of 1/10, to the nearest integer? 3 What is 3251 to the power of 1/2, to the nearest integer? 57 What is the ninth root of 1387 to the nearest integer? 2 What is 64400 to the power of 1/2, to the nearest integer? 254 What is the cube root of 162685 to the nearest integer? 55 What is 111 to the power of 1/5, to the nearest integer? 3 What is the cube root of 14783 to the nearest integer? 25 What is 2525 to the power of 1/2, to the nearest integer? 50 What is 18158 to the power of 1/10, to the nearest integer? 3 What is the eighth root of 1843 to the nearest integer? 3 What is 1229 to the power of 1/3, to the nearest integer? 11 What is 6648 to the power of 1/2, to the nearest integer? 82 What is the third root of 996 to the nearest integer? 10 What is 8130 to the power of 1/3, to the nearest integer? 20 What is 30683 to the power of 1/6, to the nearest integer? 6 What is the eighth root of 777 to the nearest integer? 2 What is 6343 to the power of 1/3, to the nearest integer? 19 What is the square root of 3773 to the nearest integer? 61 What is the sixth root of 1928 to the nearest integer? 4 What is 38 to the power of 1/6, to the nearest integer? 2 What is the third root of 9397 to the nearest integer? 21 What is 16337 to the power of 1/2, to the nearest integer? 128 What is 9027 to the power of 1/2, to the nearest integer? 95 What is the square root of 3180 to the nearest integer? 56 What is 95524 to the power of 1/9, to the nearest integer? 4 What is 2514 to the power of 1/2, to the nearest integer? 50 What is 650 to the power of 1/6, to the nearest integer? 3 What is 17291 to the power of 1/2, to the nearest integer? 131 What is 46960 to the power of 1/2, to the nearest integer? 217 What is the cube root of 5034 to the nearest integer? 17 What is 56562 to the power of 1/3, to the nearest integer? 38 What is the tenth root of 5027 to the nearest integer? 2 What is the square root of 6321 to the nearest integer? 80 What is 13690 to the power of 1/10, to the nearest integer? 3 What is 817 to the power of 1/2, to the nearest integer? 29 What is 7508 to the power of 1/4, to the nearest integer? 9 What is the square root of 20733 to the nearest integer? 144 What is the sixth root of 42654 to the nearest integer? 6 What is 94695 to the power of 1/8, to the neares
{ "pile_set_name": "DM Mathematics" }
hat is the common denominator of 19/15210608 and -41/8? 15210608 Find the common denominator of -59/887760 and 103/27400. 4438800 Find the common denominator of -143/1844808 and -12/5699. 75637128 What is the lowest common multiple of 81840 and 327030? 81103440 Calculate the common denominator of -21/6464672 and 39/32. 6464672 Calculate the lowest common multiple of 11129484 and 11. 122424324 Calculate the common denominator of 29/14925 and 127/426870. 424735650 What is the common denominator of -37/16 and 53/106262960? 106262960 What is the common denominator of 27/6655294 and -37/94? 6655294 Calculate the lowest common multiple of 85224 and 40174. 32299896 Calculate the smallest common multiple of 1204440 and 3814060. 22884360 What is the common denominator of 97/103814 and -75/176? 9135632 What is the least common multiple of 9889 and 3306? 1127346 Calculate the common denominator of -83/67405000 and -93/15860. 67405000 Calculate the least common multiple of 24616625 and 49233250. 49233250 What is the lowest common multiple of 104133367 and 64082072? 833066936 What is the common denominator of -16/87 and 139/2824974? 81924246 What is the common denominator of 62/27169791 and -52/12349905? 135848955 Find the common denominator of -38/195385 and -32/2149235. 2149235 Calculate the smallest common multiple of 165915 and 615. 6802515 What is the smallest common multiple of 626634 and 15438? 52010622 Calculate the lowest common multiple of 13892316 and 2412. 41676948 Calculate the common denominator of -127/6 and 149/813435324. 813435324 What is the lowest common multiple of 515015694 and 17384496? 4120125552 Calculate the lowest common multiple of 3672 and 3346. 6143256 Calculate the common denominator of 145/146124 and 49/151470. 12420540 What is the common denominator of 101/181840 and -103/180? 1636560 Find the common denominator of -79/34706 and 91/44622. 312354 What is the common denominator of -101/160272 and 115/571536? 30291408 Calculate the least common multiple of 36655 and 13085. 95926135 Calculate the least common multiple of 224000 and 500. 224000 Calculate the lowest common multiple of 6790 and 167899725. 335799450 Find the common denominator of -169/169258680 and -161/1560. 2200362840 What is the common denominator of 41/38279913 and 80/160167? 38279913 Find the common denominator of 55/13192 and -169/14643120. 14643120 What is the common denominator of 7/30 and -121/4196240? 12588720 What is the smallest common multiple of 3662275 and 13184190? 65920950 What is the common denominator of 113/14290 and 117/3029480? 3029480 What is the least common multiple of 120 and 562500? 1125000 Find the common denominator of -103/3724 and -149/1147440. 152609520 Find the common denominator of -77/175408 and -9/956080. 551658160 What is the lowest common multiple of 25692372 and 9? 25692372 What is the least common multiple of 17498950 and 9999400? 69995800 Calculate the least common multiple of 2304 and 155376. 2486016 Find the common denominator of 83/48512808 and 31/25426. 48512808 What is the least common multiple of 8140077 and 43413744? 130241232 What is the common denominator of -61/984716 and 39/346? 984716 What is the common denominator of 39/184504 and 119/20? 922520 Calculate the least common multiple of 64 and 4305405. 275545920 Calculate the lowest common multiple of 354620 and 620. 10993220 What is the common denominator of -41/1027 and -22/2360969? 186516551 Calculate the common denominator of 23/24867493 and -81/50212. 99469972 Calculate the common denominator of 32/279837 and -10/3122103. 159227253 Find the common denominator of 49/16189280 and 11/28. 113324960 Find the common denominator of 67/16665 and -67/22131120. 22131120 What is the smallest common multiple of 36186717 and 15508593? 108560151 What is the least common multiple of 51375 and 150? 102750 Calculate the common denominator of 31/1160026 and -85/1160026. 1160026 What is the common denominator of 58/82978181 and 23/277519? 82978181 What is the common denominator of -113/29002000 and 111/34000? 29002000 Calculate the least common multiple of 275673 and 108987. 4686441 What is the lowest common multiple of 79848 and 81824238? 327296952 What is the common denominator of 99/4210864 and 47/396? 416875536 Calculate the common denominator of 107/514140 and 93/176. 2056560 What is the common denominator of 37/282360 and 77/58760? 31906680 Calculate the common denominator of -53/66044 and -113/20. 330220 What is the least common multiple of 9 and 1146814? 10321326 Calculate the common denominator of 95/2 and -81/427408. 427408 Calculate the least common multiple of 11501 and 58534. 96171362 What is the common denominator of 109/13640 and -83/37822480? 416047280 Calculate the common denominator of 101/12730068 and -173/534662856. 534662856 Calculate the smallest common multiple of 5376 and 371840. 2231040 Find the common denominator of -77/25203446 and -45/2116. 1159358516 Calculate the lowest common multiple of 72 and 40485308. 728735544 Calculate the smallest common multiple of 6835 and 4962210. 4962210 What is the common denominator of 80/24816561 and -221/2310? 248165610 Calculate the smallest common multiple of 741895 and 15375. 55642125 Calculate the smallest common multiple of 1022637 and 433846. 14316918 Calculate the smallest common multiple of 5058 and 5134713. 30808278 Calculate the common denominator of 31/8084336 and -33/2021084. 8084336 What is the least common multiple of 15362607 and 234? 92175642 What is the least common multiple of 40708 and 404? 4111508 Calculate the lowest common multiple of 210795 and 330395. 46585695 What is the smallest common multiple of 1562 and 83039044? 83039044 Calculate the common denominator of 97/200 and 27/1719152. 42978800 Find the common denominator of 79/98175 and -151/30. 196350 What is the common denominator of -37/16223 and -19/927? 15038721 What is the smallest common multiple of 1260 and 223867? 40296060 Find the common denominator of -115/6632898 and -97/6. 6632898 Calculate the common denominator of 101/192 and 67/432580620. 6921289920 Calculate the common denominator of -109/2056236 and 167/15288. 4112472 Find the common denominator of 99/142948 and 107/5432024. 5432024 What is the least common multiple of 4903064 and 6709456? 127479664 What is the common denominator of 133/553680 and 39/492160? 4429440 Calculate the smallest common multiple of 123320 and 4328532. 43285320 What is the least common multiple of 13232940 and 34405644? 172028220 Calculate the lowest common multiple of 13185 and 56012517. 280062585 What is the lowest common multiple of 117 and 461799? 461799 Calculate the common denominator of -53/27518600 and 119/40. 27518600 Find the common denominator of 107/34200 and 53/250200. 4753800 Calculate the common denominator of 25/247798 and 42/6521. 247798 Calculate the smallest common multiple of 1581 and 7200. 3794400 What is the least common multiple of 160 and 2698920? 10795680 What is the smallest common multiple of 1243527 and 146321677? 438965031 What is the least common multiple of 14345 and 495431? 47065945 Calculate the smallest common multiple of 478035 and 12. 1912140 What is the lowest common multiple of 243565 and 560? 3897040 What is the common denominator of 137/171300 and -41/1347560? 20213400 Calculate the common denominator of 103/884 and -43/32261971. 1677622492 Calculate the lowest common multiple of 2438790 and 975516. 4877580 Calculate the lowest common multiple of 14065810 and 30944782. 154723910 Find the common denominator of -53/64046880 and -89/1351200. 320234400 Calculate the least common multiple of 7960 and 1584040. 1584040 Find the common denominator of -32/4953 and -8/497967. 6473571 Calculate the common denominator of -149/18252 and -47/35160. 53478360 Calculate the common denominator of -7/5402853 and 29/4. 21611412 Calculate the common denominator of -13/2103775 and -26/5974721. 149368025 Find the common denominator of 83/48432 and -15/57622. 1395374352 What is the common denominator of 47/8976 and -161/313794? 469435824 Calculate the common denominator of 8/35347 and -11/13767. 37432473 What is the common denominator of 85/69026 and 109/3589352? 3589352 What is the
{ "pile_set_name": "DM Mathematics" }
2 Suppose 0*o = 2*o - 10. Let i(m) = 0 - 5 - 1 + 1 + o*m. Let t(d) = -14*d + 14. Calculate 11*i(a) + 4*t(a). -a + 1 Let v(m) = -m**2 - m. Let c(k) = -3*k**2 - 3*k. Let b be 6 - 3 - -3 - 4. Give b*c(q) - 5*v(q). -q**2 - q Let v(b) = 2*b - 3. Suppose -15 = -3*l - 5*f, l = -l - 5*f + 15. Let d = l + -3. Let z(n) = 10*n - 16. Determine d*z(i) + 16*v(i). 2*i Let y(h) = -7*h**2 + 4*h - 6. Suppose 8 = -3*t - 10. Let d(f) = -17 + 4*f + 7*f + 322*f**2 - 342*f**2. What is t*d(x) + 17*y(x)? x**2 + 2*x Suppose 0 = -3*n + 5 - 38. Let y(x) = 5*x**3 - 7*x**2 - x + 6. Let l(g) = -9*g**3 + 13*g**2 + 2*g - 11. What is n*y(c) - 6*l(c)? -c**3 - c**2 - c Let n(z) = 53*z. Let a(u) = -12614*u. Calculate 2*a(g) + 477*n(g). 53*g Let x(w) = 6*w**3 + 5*w**2 - 5*w + 5. Let n(k) = k**3 + k**2 - k + 1. Calculate 5*n(h) - x(h). -h**3 Let g(d) = 8*d**3 - 7*d**2 - 7*d + 7. Let t(s) = 7*s**3 - 6*s**2 - 6*s + 6. Let k be ((-4)/1 - 2)/(-2). Suppose -3 = -k*x - 24. Calculate x*t(c) + 6*g(c). -c**3 Let g(s) = 2 - 2*s - 5 + 2. Let a(w) = -w - 1. What is -a(h) + g(h)? -h Let b = 4 + -8. Let m be (-170)/40 + (-1)/b. Let g(l) = -l. Let x(w) = -5*w - w + 5*w. Give m*x(n) + 5*g(n). -n Let w(u) = -3*u**3 + 2*u**2 - 4. Let j(q) = -q**2 - 1. Calculate 2*j(o) + w(o). -3*o**3 - 6 Let b(r) = -5*r**2 - r + r**2 + 5*r**2 + 0*r. Let s(k) = -2*k**2 + 3*k - 2. Give 3*b(w) + s(w). w**2 - 2 Let x(f) = f**3 + 3*f - 3. Let s(n) be the third derivative of 0*n - 5/24*n**4 + 0 + 9*n**2 + 5/6*n**3 + 0*n**5 - 1/60*n**6. Determine -3*s(u) - 5*x(u). u**3 Let n(p) = 8*p + 20. Let d(o) = -8 - 2*o - o + 1. Let i be (-16)/24*102/4. Let x = i - -12. Give x*n(c) - 14*d(c). 2*c - 2 Let x(c) = -1. Let f(k) = -10*k - 14. Let v(d) = 11*d + 16. Let p(j) = -7*f(j) - 6*v(j). Determine -p(w) - 2*x(w). -4*w Let r be 0/(7/(28/8)). Let i(z) = 6 - 3 + r + z - z**2. Let k(u) = -1. What is i(v) + 5*k(v)? -v**2 + v - 2 Let h(n) = -n. Let k(c) = -8*c. What is -28*h(z) + 4*k(z)? -4*z Let y(v) = -v + 1. Let j be (2/6)/((-6)/(-18)). Suppose q + 13 = -5*l - 6, 7 = -5*q - 3*l. Let o(p) = -1 - q - 2. What is j*o(c) + 2*y(c)? -2*c - 2 Let c(n) = 3*n**3 + 3*n - 3. Let p(v) = -92*v + 181*v - 1 - 88*v. Give c(f) - 3*p(f). 3*f**3 Let s(c) = 3*c**2. Let r(n) = 4*n**2. What is 6*r(w) - 4*s(w)? 12*w**2 Let d(s) = s - 1. Let p(w) = -8*w + 4. Let j(y) = -6*d(y) - 2*p(y). Let a(g) = 4*g - 1. Calculate 12*a(n) - 5*j(n). -2*n - 2 Let w(p) = -1. Let c(f) = -7*f**2 + 2. Let z(b) = -c(b) + 4*w(b). Let g(t) = 6*t**2 - 5. Let l = 52 + -46. What is l*g(r) - 5*z(r)? r**2 Let m(k) = -6*k + 4. Let a(z) = z**3 + 5*z**2 - 2*z - 7. Let c be a(-5). Let f = c - 2. Let l(v) = -v + v + f - v. Give 4*l(n) - m(n). 2*n Let r(p) = 4*p**3 + p + 5. Let i(g) = -21*g**3 - g**2 - 6*g - 26. Calculate 2*i(x) + 11*r(x). 2*x**3 - 2*x**2 - x + 3 Let u = -3 + 6. Let q(h) = -1. Let g(v) = -v + 1. What is u*q(j) + 2*g(j)? -2*j - 1 Suppose a - 3 = 2*a + 2*h, -12 = -2*a + 5*h. Let y(j) = -j**3 + 4*j. Let r(c) = c. Determine a*y(u) - 4*r(u). -u**3 Let t(l) = -l - 5. Suppose -2*k - 12 = -4. Let q(v) = -v - 4. Give k*t(r) + 5*q(r). -r Let r(s) = -13*s - 4*s**2 + 8 - 27 + 10 + 6*s**3. Let f(t) = 3*t**3 - 2*t**2 - 6*t - 4. Determine -13*f(h) + 6*r(h). -3*h**3 + 2*h**2 - 2 Let x(j) = j**3 + j - 1. Let o be -1 - 0 - -2 - -1. Let p(u) be the first derivative of 2 + 0*u**3 + 0*u**2 - 1/2*u**4 + u. Give o*p(y) + 2*x(y). -2*y**3 + 2*y Let c(k) = -6*k**3 - 132*k**2 + 11*k. Let i(n) = 2*n**3 + 44*n**2 - 4*n. Give -4*c(y) - 11*i(y). 2*y**3 + 44*y**2 Let m = -3 + 6. Let j(i) = -2 + 4 - m. Let x(t) = -t - 3. Let h(l) = 2*l + 6. Let y(k) = -6*h(k) - 13*x(k). What is -2*j(f) - y(f)? -f - 1 Let w(o) = 3*o - 5. Let t(k) = k + 1. Calculate -t(z) + w(z). 2*z - 6 Let d(q) = -q**3 - 6*q**2 + 5*q + 5. Let i(p) = -p**3 - 3*p**2 + 3*p + 3. Give 3*d(r) - 5*i(r). 2*r**3 - 3*r**2 Let f(w) be the first derivative of -w**4/4 - 3. Let r(v) = 0*v**3 - 3 + v + 3 - 4*v**3. Calculate -6*f(g) + r(g). 2*g**3 + g Let v = -21 + 26. Let r(m) = 11*m**2 + 3*m + 8. Let c(y) = y**2 - 4*y + 5. Let l(p) = 3*p**2 - 7*p + 10. Let w(k) = -11*c(k) + 6*l(k). Give v*r(z) - 8*w(z). -z**2 - z Let j(y) = -5*y**3 + 7*y**2 - 6*y + 6. Let s(a) = -4*a - a**3 + a**2 - a - 3*a + 1 + 7*a. Let c be (-1)/(2*1/(-2)). Give c*j(l) - 6*s(l). l**3 + l**2 Let i(o) = o + 1. Let k(c) = c + 1. Let v = 172 + -175. What is v*i(f) + 2*k(f)? -f - 1 Let y = 8 + -11. Let d(z) = -z**3 + 4*z**2 - 2. Let b = -74 + 72. Let p(c) = c**3 - 3*c**2 + 1. Calculate b*d(s) + y*p(s). -s**3 + s**2 + 1 Let l(u) = -2*u + 5 + u + u - u. Let z be l(7). Let v(t) = t**2 - 11. Let j(w) = 1. What is z*v(f) - 22*j(f)? -2*f**2 Let a = -65 - -66. Let l(m) = m + 1. Let h(g) = 5*g + 2. What is a*h(j) - 2*l(j)? 3*j Let o be 0 + (-20)/(-16)*(-1 + 5). Let t(b) = 6*b. Let r(d) = 7*d - 1. Determine o*t(p) - 4*r(p). 2*p + 4 Let i(d) = 5*d - 7. Let t(b) = -1. Determine -2*i(w) + 14*t(w). -10*w Let x(a) = -28*a - 48. Let s(n) = -4*n - 7. Calculate 20*s(m) - 3*x(m). 4*m + 4 Let k(x) be the third derivative of -x**4/6 + x**3/6 - 8*x**2. Let y be (-3)/1*4/6. Let l(s) = -s**3 - 17*s + 5. Determine y*l(v) + 9*k(v). 2*v**3 - 2*v - 1 Let s(z) = 2*z + 6. Suppose -2*v + 16 = 2*v. Let o be v/(-14) + 20/(-28). Let b(x) = -1. Calculate o*s(h) - 6*b(h). -2*h Let f(b) = 3*b**3 + b**2 + 2*b + 1. Let i(m) = -13*m**3 - 4*m**2 - 9*m - 5. Suppose 6 = 4*o + 14. Calculate o*i(r) - 9*f(r). -r**3 - r**2 + 1 Let l(m) = -m**3 - m - 1. Let x(w) = 4*w**3 + 2*w + 3. Suppose -d - 1 = n, n - 2*d + 0*d - 8 = 0. Let h = 20 - 19. Determine h*x(t) + n*l(t). 2*t**3 + 1 Let l(f) = f**3 - f**2 - f + 1. Let h(d) = -8 + 3*d**2 + 9*d**2 + 8*d - 4*d**2 - 10*d**3. What is -h(s) - 8*l(s)? 2*s**3 Let q(d) = -11*d**2 - 8*d + 5. Let r(c) be the second derivative of 7*c**4/12 + 5*c**3/6 - 3*c**2/2 + 2*c. What is 5*q(g) + 8*r(g)? g**2 + 1 Let f be (-2 - (-2)/3)/((-5)/15). Let h(b) = b. Let k(j) = 1. Let o(p) = 3*h(p) - 4*k(p). Let x(l) = -l + 1. Determine f*x(n) + o(n). -n Let a(o) be the second derivative of o**4/12 - o**2/2 - o. Let l be (((-8)/3)/8)/(1/(-3)). Let g(p) = 7*p**2 - 6. Give l*g(r) - 5*a(r). 2*r**2 - 1 Let u(d) = -5*d**3 - 3*d**2 + d. Suppose -25 = -6*t - 7. Let z(b) = 11*b**3 + 7*b**2 - 2*b. Determine t*z(s) + 7*u(s). -2*s**3 + s Let x(u) = 2*u**3 + 4*u**2 + 19*u - 13. Let d(j) = -j**3 - 98*j - 2*j**2 + 0*j**3 + 6 + 89*j. Give -13*d(o) - 6*x(o). o**3 + 2*o**2 + 3*o Let p(k) = 7*k**3 - 5*k**2 - 3. Let g(r) = -r**3 + r**2 + 1. Let i(w) = -w**2 + w + 5. Let m be i(0). Let l = -43 - -44. Give l*p(s) + m*g(s). 2*s**3 + 2 Let g(b) = 6*b + 1. Let i(k) = 5*k + 2. Determine -4*g(z) + 3*i(z). -9*z + 2 Let l(d) be the third derivative of 3*d**4/8 + 7*d**3/6 - 4*d**2. Let n(v) = -4*v - 3. Calculate -2*l(j) - 5*n(j). 2*j + 1 Let s(w) be the second derivative of 7*w**4/12 - 19*w. Let v(o) = -6*o**2. Give 5*s(n) + 6*v(n). -n**2 Let d(p) = -p. Let r(l) be the third derivative of 0 + 0*l + 0*l**3 + 3*l**2 - 1/12*l**4. Determine -5*d(y) + r(y). 3*y Let y(l) = -25*l + 1. Let z(d) = 13*d. Let a(x) = -6*y(x) - 11*z(x). Let f(v) = -v + 1. Suppose 2*n - 2 - 8 = 0. Calculate n*f(s) + a(s). 2*s - 1 Let l(p) = 7*p + 5. Let h(t) = -15*t - 9. What is -3*h(g) - 5*l(g)? 10*g + 2 Let z(d) = 9*d + 1. Let x(l) = -19*l - 3. Calculate 2*x(q) + 5*z(q). 7*q - 1 Let c(o) = -4*o**2 + 2*o - 1. Let b(v) = -4*v**2 + 2*v - 1. What is 4*b(l) - 3*c(l)? -4*l**2 + 2*l - 1 Let b(p) = -21 - 4*p + 13*p + 21. Let j(m) = -19*m + 1. Let r(c) = -9*b(c) - 4*j(c). Let k(t) = t + 1. What is 9*k(n) + 2*r(n)? -n + 1 Let o(d) = -6*d - 128. Let v(s) = 2*s + 43. What is 4*o(f) + 11*v(f)? -2*f - 39 Let m(i) = 158*i**3 + i**2 + i - 157*i**3 + 4 - 3 + i**2. Let r(n) = -9*n**2 - 9*n. Let b(y) = 5*y**2 + 5*y. Let c(u) = -7*b(u) - 4*r(u). Give -4*c(v) + 2*m(v). 2*v**3 - 2*v + 2 Let m be ((-2)/10 - 21/(-30))*-6. Let q(t) = 0*t - 2*t + t - 3. Let d(l) = -l - 2. Suppose b = -3*h + 16, 5*h = -2*b + 3*b + 24. Determine h*d(p) + m*q(p). -2*p - 1 Let q = -1 - -3. Let h(t) be the first derivative of t**3/3 - t**2/2 - 6. Let u = -20 + 34. Let a(x) = -6*x**2 + 8*x - 1. Calculate q*a(b) + u*h(b). 2*b**2 + 2*b - 2 Let q(c) = c + 1. Suppose 3*i - 4*i + 2*d = 7, -2*i + 2*d - 8 = 0. Let v(s) = -4*s - 2. Calculate i*v(b) - 3*q(b). b - 1 Let g(h) = 3*h - 3. Let l(v) = -1. Let o(y) = -y + 4. Let s(t) = -3*l
{ "pile_set_name": "DM Mathematics" }
1/104 Calculate prob of sequence faw when three letters picked without replacement from {l: 1, w: 3, d: 1, f: 1, a: 7}. 7/572 Two letters picked without replacement from {q: 4, k: 2, x: 2, g: 4}. What is prob of sequence kx? 1/33 Calculate prob of sequence lbl when three letters picked without replacement from flbflb. 1/30 Three letters picked without replacement from hwwtwwhhwhw. What is prob of sequence thw? 4/165 Four letters picked without replacement from {t: 3, u: 2, m: 3, r: 2, j: 3}. What is prob of sequence mujt? 9/2860 Four letters picked without replacement from vyyyayaayyvuyvvyu. Give prob of sequence vvuv. 1/1190 Calculate prob of sequence oo when two letters picked without replacement from {o: 8, p: 6, k: 1}. 4/15 Two letters picked without replacement from dojyddy. What is prob of sequence yo? 1/21 Calculate prob of sequence ll when two letters picked without replacement from llln. 1/2 Calculate prob of sequence zuez when four letters picked without replacement from zeuuzzzeuuueuzk. 1/91 Two letters picked without replacement from {u: 1, l: 2}. What is prob of sequence ll? 1/3 Calculate prob of sequence ascs when four letters picked without replacement from cxassxsxcsss. 1/198 What is prob of sequence las when three letters picked without replacement from asaslassxlaaasaals? 1/34 Calculate prob of sequence mmm when three letters picked without replacement from mmqmmmmm. 5/8 Three letters picked without replacement from acagealac. What is prob of sequence ela? 1/126 What is prob of sequence aa when two letters picked without replacement from hxnxnaahxaaaean? 1/7 What is prob of sequence ggl when three letters picked without replacement from {l: 3, j: 1, w: 1, z: 3, v: 1, g: 2}? 1/165 Three letters picked without replacement from rxrlrcccrdarcrl. What is prob of sequence cld? 4/1365 Two letters picked without replacement from {c: 8, d: 3, a: 2, o: 2}. What is prob of sequence ad? 1/35 Three letters picked without replacement from {d: 3, q: 2, f: 2, l: 2, m: 2, r: 1}. Give prob of sequence mdr. 1/220 Calculate prob of sequence pyy when three letters picked without replacement from {p: 3, y: 9}. 9/55 Two letters picked without replacement from {o: 1, x: 3, d: 1, h: 5, s: 2}. Give prob of sequence so. 1/66 Calculate prob of sequence rva when three letters picked without replacement from {a: 2, m: 12, r: 1, x: 2, v: 1}. 1/2448 Four letters picked without replacement from eeeseesee. What is prob of sequence eses? 1/36 Three letters picked without replacement from {o: 1, j: 3, z: 1, r: 1, a: 1}. Give prob of sequence joa. 1/70 What is prob of sequence jq when two letters picked without replacement from {f: 5, j: 1, q: 6, y: 7}? 1/57 Two letters picked without replacement from {r: 1, d: 2, a: 1, c: 2, g: 1, e: 2}. What is prob of sequence ge? 1/36 Four letters picked without replacement from {v: 4}. Give prob of sequence vvvv. 1 Calculate prob of sequence szms when four letters picked without replacement from emsszsemeeee. 1/990 Three letters picked without replacement from xxxxxbwxxxvvwxxx. Give prob of sequence vbw. 1/840 Three letters picked without replacement from {u: 3, f: 1, z: 2, d: 1, t: 3, b: 3}. Give prob of sequence uzu. 1/143 Calculate prob of sequence oo when two letters picked without replacement from qqqooooooqqoqqoqqoq. 4/19 Calculate prob of sequence cvvv when four letters picked without replacement from vvccvcvvcccccc. 45/2002 Three letters picked without replacement from {b: 3, r: 3, o: 1, g: 3}. Give prob of sequence brr. 1/40 What is prob of sequence yrn when three letters picked without replacement from {m: 6, n: 1, y: 1, r: 8}? 1/420 What is prob of sequence dhdd when four letters picked without replacement from dhhhhdhdhdhhhddhhhh? 65/3876 What is prob of sequence bibt when four letters picked without replacement from titiqbcbbbi? 1/110 What is prob of sequence rrr when three letters picked without replacement from rrrrrrrrrkrruk? 165/364 Two letters picked without replacement from kstks. Give prob of sequence ks. 1/5 Three letters picked without replacement from dddddddaddaaddddda. Give prob of sequence aad. 7/204 What is prob of sequence ccc when three letters picked without replacement from {p: 7, c: 5, i: 1}? 5/143 Three letters picked without replacement from {l: 6, w: 2, y: 11}. Give prob of sequence wyw. 11/2907 Three letters picked without replacement from {k: 1, h: 3, b: 6, y: 1, x: 3, e: 3}. Give prob of sequence bbe. 3/136 Three letters picked without replacement from {k: 2, t: 3, e: 3, a: 5}. What is prob of sequence tee? 3/286 Calculate prob of sequence eek when three letters picked without replacement from ekkkkke. 1/21 Calculate prob of sequence bnbz when four letters picked without replacement from znnnbbbnnnnnnnnzbnnb. 13/2907 Three letters picked without replacement from vvvbbvfbv. What is prob of sequence bfb? 1/84 Calculate prob of sequence cg when two letters picked without replacement from gcy. 1/6 What is prob of sequence fk when two letters picked without replacement from pkpdkkfkk? 5/72 Two letters picked without replacement from wcccwccccwccccc. What is prob of sequence cc? 22/35 Calculate prob of sequence ahy when three letters picked without replacement from {a: 2, y: 7, h: 4}. 14/429 Calculate prob of sequence sn when two letters picked without replacement from {n: 11, s: 9}. 99/380 Two letters picked without replacement from zopuzzpkouypzykz. Give prob of sequence kk. 1/120 Calculate prob of sequence xxkk when four letters picked without replacement from kkkkkxkkkkxkk. 1/78 Two letters picked without replacement from bhhbbbbhhb. Give prob of sequence hh. 2/15 What is prob of sequence uyx when three letters picked without replacement from {r: 6, u: 3, x: 1, y: 9}? 3/646 Three letters picked without replacement from ttqarok. Give prob of sequence koq. 1/210 What is prob of sequence xri when three letters picked without replacement from {r: 1, n: 1, h: 1, x: 1, i: 3}? 1/70 What is prob of sequence xag when three letters picked without replacement from {w: 2, a: 5, x: 1, g: 1}? 5/504 Four letters picked without replacement from jaoxxaaxaa. What is prob of sequence xxoa? 1/168 Two letters picked without replacement from {x: 3, g: 1, k: 6, l: 1, e: 3, f: 1}. Give prob of sequence kk. 1/7 Two letters picked without replacement from {d: 6, v: 3, i: 1, b: 1, w: 1, q: 1}. Give prob of sequence qd. 1/26 Three letters picked without replacement from ohkojkkhkh. Give prob of sequence hko. 1/30 Calculate prob of sequence gvss when four letters picked without replacement from {v: 9, g: 6, s: 4}. 9/1292 Three letters picked without replacement from xhmhlllxhmlmxxhx. What is prob of sequence llm? 3/280 What is prob of sequence nao when three letters picked without replacement from nannonnaaaon? 2/55 Calculate prob of sequence quki when four letters picked without replacement from {q: 1, i: 2, k: 6, l: 1, u: 3, o: 2}. 1/910 Calculate prob of sequence scja when four letters picked without replacement from {a: 3, y: 1, s: 4, k: 2, c: 1, j: 7}. 7/6120 Calculate prob of sequence qcm when three letters picked without replacement from {j: 8, q: 3, c: 3, m: 3}. 9/1360 Three letters picked without replacement from {y: 3, i: 3}. What is prob of sequence yyi? 3/20 Calculate prob of sequence oso when three letters picked without replacement from ots. 0 Two letters picked without replacement from vvvlttvvvvvtvtvtvv. Give prob of sequence tl. 5/306 What is prob of sequence aaa when three letters picked without replacement from aaygahrgggyragrgggr? 4/969 Three letters picked without replacement from {n: 7, z: 7}. Give prob of sequence znz. 7/52 What is prob of sequence wo when two letters picked without replacement from {r: 3, k: 4, g: 3, w: 4, o: 3}? 3/68 Two letters picked without replacement from {m: 1, y: 2, r: 2, f: 4, q: 1, i: 4}. Give prob of sequence mi. 2/91 Two letters picked without replacement from jjjttjttoojtjtj. What is prob of sequence jt? 1/5 Two letters picked without replacement from zpjjz. Give prob of sequence pz. 1/10 Two letters picked without replacement from {i: 2, s: 1, m: 1, v: 1, o: 2, f: 1}. Give prob of sequence ms. 1/56 Calculate prob of sequence uy when two letters picked witho
{ "pile_set_name": "DM Mathematics" }
e 68 + (-3 + 4)*2. Let j = -2 - -16. Calculate the greatest common divisor of j and i. 14 Let i(j) = -12*j. Let v be i(-2). Let b be 1/(-2 + 1587/792). What is the greatest common factor of b and v? 24 Suppose 0 = z - 2*u - 56, z + 2*u + 200 = 5*z. Suppose 0 = -2*q - 2*h + 20, 4*q = -0*q + h + 20. What is the greatest common divisor of z and q? 6 Let c = -11 + 11. Suppose 3*v + c*o = o + 22, v - o = 6. What is the greatest common factor of v and 4? 4 Suppose 2*y = -5*t - 15, -t + 3*t = -6. Suppose 4*r - 43 = -y*f - f, -r + 22 = 4*f. Calculate the highest common divisor of r and 15. 5 Let i(p) = -17*p**3 - 1. Let y be 3/6 - (-3)/(-2). Let q be i(y). Calculate the greatest common factor of q and 128. 16 Let x be (-4)/16 - (-282)/8. What is the highest common divisor of x and 14? 7 Suppose -2*p - 7 + 5 = 0. Let y be 1 + (0 - (-12 - p)). Let f(r) = 3*r**3 + r**2. Let u be f(1). Calculate the greatest common factor of y and u. 4 Let b(p) = -2*p + 6. Let h be b(2). Let d = -2 + 6. Let y = d - -2. What is the highest common factor of h and y? 2 Let u = -3 + 7. Let r(c) = -4*c**2 + 2 + 2 + 5*c + u*c**2 - c**2. Let d be r(4). Calculate the highest common divisor of 40 and d. 8 Let y(z) = -z**3 - 2*z**2 + 2*z + 1. Let d be y(-3). Let n(t) = -2*t**3 - 18*t**2 + 21*t + 16. Let q be n(-10). What is the greatest common factor of q and d? 2 Suppose 0 = 5*y - 257 + 17. Calculate the highest common factor of y and 6. 6 Suppose -a - 3*a - 24 = -2*w, -32 = 5*a - 2*w. Let n = 13 + a. Let j be ((-2)/(-3))/(4/30). What is the highest common factor of n and j? 5 Let z(r) = r**3 - 12*r**2 + r - 7. Let h be z(12). Let w be h/2 - (-6)/(-12). Calculate the greatest common divisor of w and 8. 2 Let m(a) = -23*a**3 + a + 1. Let c be m(-1). Suppose 5*q = c + 17. Let v be 1/(0 + 1/1). What is the greatest common factor of q and v? 1 Let t be -2*(-2 - -3) + 9. Suppose -21 = -t*c + 4*c. Suppose -5*p = 5*f - 160, 134 = 5*f + 3*p - 32. What is the highest common divisor of c and f? 7 Let y(b) = b. Let f(x) = 1. Let u(i) = -3*f(i) + 3*y(i). Let w be u(6). Suppose l = -2*l + w. Calculate the highest common factor of 1 and l. 1 Suppose -p - 3*k + 32 = 0, -1 = -k + 3. What is the greatest common factor of p and 220? 20 Let k = 37 - -11. Suppose -4*x = -b + 20, 96 = 5*b - x + 15. Calculate the greatest common divisor of k and b. 16 Let o(u) = 12*u**2 + 3*u - 10. Let k be o(-5). What is the highest common factor of k and 25? 25 Suppose -54 = -j - 3*b + 2*b, -3*b = -4*j + 230. Calculate the highest common factor of j and 7. 7 Suppose -5*b + 3*b - o = -23, -4*b + 3*o + 51 = 0. Calculate the highest common factor of b and 12. 12 Let v be (-2615)/(-75) - (-2)/15. Let l be ((-30)/9)/((-2)/3). What is the highest common factor of l and v? 5 Let q = 6 + 6. Let y = -83 - -58. Let i = 61 + y. Calculate the highest common factor of i and q. 12 Let n = 93 + -7. What is the highest common factor of 129 and n? 43 Let x be 136/6 - (-2)/(-3). Calculate the highest common divisor of x and 176. 22 Suppose -5*r + 5*v + 95 = 0, 4*r + 4*v - 25 = 91. Let m(s) = s**2 - s + 12. Let f be m(0). What is the highest common factor of r and f? 12 Let c be 19 - (-1 + 2 - 0). Suppose -5 = 2*y - 3. Let a(h) = 5*h**2 + 1. Let v be a(y). Calculate the highest common factor of c and v. 6 Let d be (0 - 1 - -23)/1. Calculate the highest common divisor of 44 and d. 22 Let q(k) = 5*k - 5. Suppose 4*m - 3*x = 44, 5*x - 11 = 2*m - 3*m. Let y = -4 + m. Let s be q(y). Calculate the highest common factor of s and 6. 6 Suppose -2*z - d + 4*d + 94 = 0, 146 = 3*z - 2*d. Suppose 20 = 4*f + 4*q, 2*f - f - 2*q = 20. Let t = f + z. What is the greatest common factor of t and 24? 12 Let x(s) = -s**2 + 6*s - 6. Let w be x(4). Let t be -25*(-2 - (-9)/5). What is the highest common divisor of w and t? 1 Let m be 459/(-4) - 18/(-24). Let v be (m/3)/(-2) + 1. Calculate the highest common divisor of 5 and v. 5 Let o(d) = d**2 + 5*d + 13. Let j be o(-5). Calculate the greatest common factor of 39 and j. 13 Let j = 11 + 9. Suppose -2*i - 3*i - 16 = 2*k, -j = 5*i. Suppose -k*y = -2*r + 8, 9*r - 4*r = -3*y + 44. Calculate the highest common factor of 1 and r. 1 Let y(k) = k**2 - k - 2. Let g be y(3). Suppose 15 = 5*d, -g*i = 4*d - 8 - 64. Calculate the highest common factor of i and 105. 15 Let z be 4*3*1/2. Let t be 2 + 0/(-1) + z. Let j(l) = -l + 20. Let i be j(0). What is the highest common factor of t and i? 4 Suppose 4*l + 28 = -3*a + 5*a, 0 = 5*a - 5*l - 90. Calculate the greatest common divisor of a and 242. 22 Let y(q) = 57*q**3 - q**2 + 2*q - 3. Let f be y(1). What is the greatest common divisor of f and 22? 11 Let z = -8 + 17. Calculate the highest common divisor of z and 99. 9 Let f = -1 + 2. Let o = 6 - 7. Let u = 2 + o. What is the highest common factor of f and u? 1 Suppose 3*v = 58 + 26. Suppose 6*n - 42 = 3*n. What is the highest common factor of n and v? 14 Suppose -5*g + 19 = -6. Let m be g/(20/232) - 3. Calculate the highest common factor of m and 22. 11 Let d(p) = -2*p - 4. Let x be d(-9). Calculate the highest common factor of x and 98. 14 Let b be ((-4)/5)/((-9)/45). Suppose -v + 523 = b*v - 2*g, 2*v = -2*g + 212. Calculate the highest common divisor of v and 42. 21 Let q be ((-1 - -5) + -4)/(-2). Suppose 4*k = 3*b - 0*b - 50, q = -2*b + 2*k + 30. What is the greatest common factor of 15 and b? 5 Suppose -r = 2*r - 6. Suppose s + d = -4*s + 112, -d = -r. What is the greatest common factor of 2 and s? 2 Let t = 43 + -12. Let r be (6/9)/(1/3). Suppose t = 5*x - d, -r*d + 1 = -3*x + 2*x. Calculate the highest common factor of 56 and x. 7 Let k = 7 + 6. Let g(u) = u + 3. Let d be g(-5). Let r be (-193)/(-5) - d/5. Calculate the greatest common factor of k and r. 13 Suppose 5 + 15 = 5*f. Suppose -2*t - 6 = -78. Calculate the greatest common divisor of t and f. 4 Let h = -143 - -146. Calculate the highest common divisor of h and 3. 3 Suppose 0 = -7*w + 2*w + 330. What is the greatest common factor of w and 6? 6 Let y be 2 - 72/30 - 726/(-15). Calculate the highest common factor of 36 and y. 12 Let o(f) = f + 1. Let i be o(5). Suppose a - 10 + 0 = 2*d, 2*d = -3*a + i. Calculate the highest common factor of 2 and a. 2 Let x = -75 - -125. Let m be 0 - (3*-6 - 2). What is the greatest common factor of m and x? 10 Suppose -125*k = -122*k - 324. Calculate the greatest common factor of 9 and k. 9 Let q be (1 + 3)/2 + 4. Suppose -2*g - g - z = -159, 3*g - 144 = 4*z. Let i be (g/(-6))/(q/(-9)). Calculate the greatest common divisor of 65 and i. 13 Let p be (40/(-3))/(-1)*9. Suppose -4*d + 96 = -3*q, -5*d = 2*q + 7 - 127. What is the greatest common divisor of p and d? 24 Suppose 0*i = 2*i - 12. Suppose q + 160 = i*q. Calculate the greatest common factor of 48 and q. 16 Let f be 0/(-2) + 2 - 118. Let k be -1*3/4*f. Let j = k - 38. Calculate the greatest common factor of j and 7. 7 Suppose 0 = -d - 5*p - 11, -3*d + 5*p = d - 81. Calculate the greatest common divisor of 28 and d. 14 Let m(j) = j**3 + 6*j**2 - 2*j - 9. Suppose 5*f + 0*f + 30 = 0. Let b be m(f). Suppose a + 24 = 5*a. What is the highest common factor of b and a? 3 Suppose -x - 5*w = 14, 3*x - w + 9 = -5*w. Let v = 1 + x. Let s(k) = -k**3 - 4*k**2 - 5*k - 3. Let b be s(-3). Calculate the greatest common divisor of b and v. 1 Let k be (-9 - -7)/(1*-1). Suppose -6*s = -k*s - 20. Calculate the greatest common factor of 1 and s. 1 Let v(b) = 60*b - 3. Let y be v(2). Suppose -15 = -r + t, 0*t - 62 = -4*r + 5*t. Calculate the greatest common divisor of r and y. 13 Suppose -j = 5*v + 12, -3*j + 0*v = 3*v. Suppose -x + 7 + 0 = 4*l, x = l - j. Suppose 84 = l*d + 14. What is the highest common factor of 7 and d? 7 Let f(d) = 5*d**2 - d + 1. Let m be f(-6). Let z(l) = 17*l**2 + l + 1. Suppose -4*a = 4 - 0. Let q be z(a). Calculate the highest common factor of m and q. 17 Let l = -5 + 5. Suppose l = 5*j + 43 + 177. Let z = -22 - j. What is the highest common divisor of 2 and z? 2 Suppose -3*l + 17 = -t, 37 = 4*l + 5*t + 8. Let q = l + -6. Suppose q = 3*d - 51. Calculate the greatest common factor of 17 and d. 17 Let d(t) = t**2 + t - 1. Let i = -5 + 7. Let a be d(i). What is the highest common divisor of 40 and a? 5 Let o = -3 + 3. Suppose o*s - s = 5*w + 15, -5*s + 2*w = -33. Suppos
{ "pile_set_name": "DM Mathematics" }
+ 0*j = 48. Suppose h = 4*x + v + 2*v, 5*v - 34 = -4*x. Suppose -699 = -x*f + 3*f. Is f prime? True Let o = -3 - -3. Suppose o = -3*f + 8*f - 235. Is f composite? False Let l(x) = -x + 10. Suppose -2*i = 10, -3*h + 3*i = -10 - 5. Let n be l(h). Is 5/n - (-69)/2 a composite number? True Let u(k) = 18*k**3 + 10*k**2 - 12*k - 11. Is u(5) composite? True Let r(l) = 2*l**2 + 6*l. Let k(u) = 3*u - 1 + 1 + u**2. Let x(h) = 5*k(h) - 2*r(h). Is x(-5) composite? True Let n(x) = -x**3 + 15*x**2 - 13*x - 10. Let r be n(14). Suppose 5*v - 526 = r*p, -2*v + 3*p + 190 = -19. Is v prime? False Let j(a) = -2*a**3 - 7*a**2 + 7*a - 17. Let b(l) = l**3 + 3*l**2 - 3*l + 8. Let k(t) = -7*b(t) - 3*j(t). Is k(-4) a composite number? False Let m(z) = 3*z**2 - z + 4. Let i(v) = -v**2 + 14*v - 18. Let b be i(12). Is m(b) a composite number? True Let d = 392 + 471. Is d a prime number? True Let h = -42 + 0. Let c = h - -119. Is c a composite number? True Let u = -12 - -15. Suppose -4*g = 5*c - 302, 2*c = -4*g + 80 + 36. Is (c/(-4))/(u/(-6)) prime? True Let t(i) = -14*i - 2. Let g be t(-3). Suppose 3*m = 5*d - g, 0 = 3*d + 4*m - 53. Is d/(1 + (-18)/21) a composite number? True Let w(o) = 3*o**3 + 3*o**2 + 3*o - 2. Let y be w(3). Suppose 5*f + 5 = y. Is f a prime number? False Suppose -c - 30 = -i + 2*i, -88 = 2*i - 5*c. Is (i/(-3))/((-6)/(-27)) composite? True Let h be (-10)/55 + 876/(-22). Is (21 + -1)*(-130)/h a composite number? True Let c(i) = i**3 + 10*i**2 + 3*i + 7. Let r be -14*(-1 - (-6)/4). Is c(r) prime? False Let p be -15*-4*12/9. Let d = p + -134. Is (1 + -2 - d)/1 a prime number? True Suppose j - 13 = -7*d + 2*d, -2*j - 13 = -3*d. Let l(t) be the third derivative of -t**6/60 + t**5/30 + t**4/12 + t**3/6 + 3*t**2. Is l(j) composite? True Let m(v) = -33*v**3 + 8*v**2 + 6*v - 13. Is m(-4) composite? False Suppose 103 = -3*m + 340. Is m a prime number? True Let j = -184 + 813. Is j a composite number? True Let k = 105 - 70. Let u = 2 + k. Is u composite? False Let n be (-4)/10 - (-1244)/10. Suppose 0 = 5*i - i - n. Is i composite? False Suppose 2*x = 180 - 26. Is x a prime number? False Let i(u) = -u**2 - 7*u - 4. Let p be i(-5). Suppose -14 - p = 5*k. Is (-1)/(-2) - 54/k a composite number? True Suppose -3*s + x = -10, -2*x + 0*x = 4*s - 30. Suppose -n + 0 = -s. Suppose -7*h + 74 = -n*h. Is h a composite number? False Suppose 5*w - 19 = 6. Suppose v - w*v = -136. Is v composite? True Suppose -n + 381 = 2*n. Is n prime? True Suppose -5*g - 4 + 24 = 0. Let h(b) = -11*b**2 + b + 3. Let s(c) = -32*c**2 + 3*c + 8. Let x(q) = 17*h(q) - 6*s(q). Is x(g) composite? False Suppose 5*v = 5, -2*v - 4 = -2*c - 0*c. Suppose -3*s + c*d + 36 = 0, 4*d + 3 = 3*d. Is 2/(-3) - (-213)/s a composite number? False Let u = 39 - -268. Is u a composite number? False Let i = 8 - 13. Let u(m) = 9*m**2 + 2*m + 2. Let v be u(i). Suppose 457 = 2*h - v. Is h prime? True Suppose 9*l - 4*l - h - 658 = 0, -3*l + 3*h + 402 = 0. Let r = l - 76. Suppose r = -0*n + n. Is n prime? False Let z(g) = g**2 + 7*g. Let l be z(-7). Let q be (2 - 0) + 0 + l. Let b(d) = 4*d**3 + 2*d**2 - 3*d + 1. Is b(q) a prime number? False Suppose 0 = 5*o - 3*u + 182 - 2182, -3*o - 4*u = -1229. Is o a prime number? False Suppose 6*t - 2*t = 1172. Is t composite? False Suppose -5*w = -16 + 1. Is 3036/18 - (-1)/w a composite number? True Let i(h) be the second derivative of h**4/3 + 2*h**3/3 + h**2 + 3*h. Is i(-2) composite? True Let b be 1/(-3) + (-404)/(-6). Let h = -34 + 37. Suppose h*y - 38 - b = 0. Is y a composite number? True Suppose 5*h + 8*h - 28301 = 0. Is h composite? True Let n be 1*(-1)/(1/1). Let y(o) be the third derivative of -31*o**4/4 + o**3/6 - 10*o**2. Is y(n) composite? True Let s be (-6)/(-33) + 522/33. Let x be ((-2)/(-4))/((-4)/s). Is -46*((-9)/(-6) + x) prime? True Let n(a) = 0 - a - a + 0 + 1 + 480*a**2. Is n(1) a composite number? False Suppose -q + 20 = -3*c - 2*c, 9 = -3*c. Is q/(1/(-22)*-2) composite? True Let i = 6 + -4. Suppose 0 = -i*j + 44 + 90. Is j a composite number? False Suppose -5*t - 2*n + 405 = 0, 0 = 3*t - 0*n - 4*n - 217. Suppose 3*p - p + t = l, 5*l + 4*p - 423 = 0. Is l prime? True Suppose 3*b + 497 + 67 = 0. Let h = 529 - 844. Let i = b - h. Is i a prime number? True Let g(z) = 64*z**2 - 4*z - 5. Is g(-2) prime? False Suppose -3*r + 10 = -r. Suppose 0 = h - r*y - 909, 3*y + 1794 = 2*h - y. Is h prime? False Suppose 0 = -5*i + 4*r + 7555, -i = -3*r - 2*r - 1532. Is i composite? True Let s be 5/2 - 2/(-4). Let i = s + -4. Is i/2*(-5 + -21) a prime number? True Let x(c) = 221*c**2 + 4*c - 3. Is x(2) composite? True Let j(t) = t. Let l(u) = 5*u**2 + 10*u + 2. Let m(c) = -4*j(c) + l(c). Suppose 1 = -v - 4. Is m(v) composite? False Suppose -i + 3*i - 8 = 0. Let n = i - -31. Let k = 66 - n. Is k composite? False Let p(a) = -16*a**2 + a - 2. Let f(t) = 7*t**2 - 2*t + 3 + 10*t**2 + t + 14*t**2. Let m(x) = 3*f(x) + 5*p(x). Is m(2) prime? False Let k = -5 + 11. Is (-608)/(-12) - (-2)/k prime? False Let p(j) = 9*j + 57. Let g(q) = q**3 + 7*q**2 + 8*q + 5. Let w be g(-6). Let z(k) = 5*k + 29. Let r(v) = w*z(v) + 4*p(v). Is r(-11) a prime number? False Is 17883/81 - 2/(-9) prime? False Suppose n - 2065 = -6*n. Is n composite? True Let u(s) = s + 15*s**3 - s**2 - 1 - 3 + 3*s - 1. Is u(2) a prime number? False Suppose 5 = k - 18. Let u = 38 - k. Is u a prime number? False Suppose -p = -1 + 2. Let z = p - -15. Is z a composite number? True Let d(n) = 541*n**2 + 2*n + 2. Is d(-1) a composite number? False Let b(k) = k**2 + 5*k - 9. Let f be b(-8). Suppose -2*j = j - f. Let g = 5 + j. Is g composite? True Let n(h) = 1 + 4 - 3*h + h**2 + 4*h. Is n(12) a composite number? True Is (138 - 1)*(9 - 4) a composite number? True Suppose 4 = -n + 3*n. Suppose 4*u - 4 = 0, -3*u + 845 = 4*c - n*u. Is c a prime number? True Let w be ((-6)/4)/((-2)/36). Suppose 0 = 2*z - 337 + w. Suppose -5*o + z = -2*k - 2*k, 0 = -2*o - k + 62. Is o composite? False Let w be 8 + 1 + -2 + 1. Let i be (-2)/3 - w/(-12). Is 1*(-2 - i) - -97 prime? False Let d(b) = 39*b + 4. Is d(3) a composite number? True Is -62*3*(-6)/12 prime? False Let n(t) = -t + 24. Let w be n(0). Suppose 2*f - w + 125 = 3*b, -5*b = 5*f - 160. Suppose -i + b = -0*i. Is i composite? True Let k = 6 + -4. Suppose 3*o - k*g = -4*g + 201, 0 = -5*o - 3*g + 335. Is o prime? True Suppose 0 = 3*y + 15, -4*y + 2474 = 4*w - 1966. Is w a composite number? True Let k(i) be the second derivative of 0 + 15*i**3 + 1/2*i**2 - 2*i. Is k(1) a prime number? False Let m(x) = -x**3 + 3*x**2 + x. Let s(g) = -5*g**3 + 12*g**2 + 4*g. Let j(v) = 9*m(v) - 2*s(v). Let b be ((-6)/4)/((-3)/(-4)). Is j(b) prime? True Suppose 0 = -2*g - 2*i + 102, -3*g + 153 = -i + 2*i. Is g a composite number? True Let w(o) = 22*o**2 + 6*o + 21. Is w(-5) a composite number? False Let i be 15/(-10) - 138/(-4). Suppose -5*g - 4*c = -94, 5*g + c = 139 - i. Is g a prime number? False Let d(v) = 2*v**2 - 9*v + 7. Suppose 0*h = -2*h + 6. Suppose -3*o - h*y - 6 = -4*o, 3*o + 3*y - 18 = 0. Is d(o) a composite number? True Suppose 4*l + 21 = 117. Suppose z + 7 = r - 0*z, l = 2*r - 4*z. Suppose g = 2*y + 45, 0*g - g + 49 = r*y. Is g prime? True Let q be (6 + -2)/2 + 3. Let c = 44 + q. Is c a composite number? True Let b = 63 - -610. Is b a composite number? False Let n(q) = -51*q**3. Is n(-1) a prime number? False Let z(s) = -s**3 + 2*s + 2. Suppose -4*y + 5*v - 8 = 0, 4 = -2*y + 3*v - 0. Let f be z(y). Is f/(-10) - (-593)/5 a prime number? False Suppose 0*x + 2*x - 1778 = 0. Suppose -9*d + x = -2*d. Is d composite? False Suppose 3*h + 3*a = 963, 1 = 4*a - 7. Is h prime? False Let j be ((-25)/(-2))/((-3)/(-42)). Suppose -j = 5*b - 770. Is b a prime number? False Let t = -1 - -4. Suppose t*n = 192 - 45. Is n composite? True Suppose 3*t - 5*t = -2, -2*t = 5*k - 637. Is k a prime number? True Suppose 2*c = -p - p + 18, -5*c + 27 = 2*p. Let f(n) = n**3 - 2*n**2 - 9*n + 5. Is f(p) a prime number? False Let u be 5/1 - (-9 - -11). Is 0 - (u + -1) - -69 a composite number? False Let h(x) = -x - 10 + 1 - 3*x - 8. Is h(-7) prime? True Let p = -769 - -1140. Is p a composite number? True Let x(y) = -27*y**3 + y**2 - 4*y - 1. Is x(-3) a composite number? True Let n = 112 - -46. Suppose 5*m = -4*u - 246, 2*m + m + n = -5*u.
{ "pile_set_name": "DM Mathematics" }
53136. -(v - 738)*(v - 8)*(v + 63)/7 Factor -o**2/9 + 4575788*o/9 - 5234458955236/9. -(o - 2287894)**2/9 Factor r**2/4 - 2620535*r + 6867203686225. (r - 5241070)**2/4 Find m such that 21*m**4 + 5109*m**3 - 24600*m**2 - 11436*m + 116064 = 0. -248, -2, 3, 26/7 Suppose -4*r**2 + 3404*r - 318432 = 0. Calculate r. 107, 744 Find m such that 5*m**5/4 - 4607*m**4/4 - 44605*m**3/4 - 77357*m**2/4 + 19502*m + 45619 = 0. -7, -2, 7/5, 931 Factor 2*s**2/3 - 14349296*s + 86095768/3. 2*(s - 21523942)*(s - 2)/3 Suppose 3*s**4/5 + 2889*s**3/5 + 117777*s**2/5 - 831789*s/5 - 189336 = 0. Calculate s. -920, -49, -1, 7 Solve 2*j**3/5 - 358616*j**2 + 3586152*j/5 = 0 for j. 0, 2, 896538 Determine w, given that -w**2 - 432979764*w - 46867869008373924 = 0. -216489882 Factor p**2 - 20472624*p + 104782083361344. (p - 10236312)**2 Factor 2*h**3 - 378222*h**2 + 17883565200*h - 196673455000. 2*(h - 94550)**2*(h - 11) Factor k**5/4 + 137*k**4/2 + 27787*k**3/4 + 622791*k**2/2 + 5544045*k + 20761650. (k + 5)*(k + 35)*(k + 78)**3/4 Suppose h**2/3 + 11551*h - 29559838/3 = 0. Calculate h. -35486, 833 Determine r so that 6*r**3 + 4731*r**2 - 26472*r - 214380 = 0. -794, -9/2, 10 Determine b, given that b**2/2 + 6066892*b + 18403589269832 = 0. -6066892 Solve -2*m**3 - 8052*m**2 + 113150*m + 121200 = 0 for m. -4040, -1, 15 Find j such that 4*j**3/3 + 8844*j**2 + 18715028*j + 36900045980/3 = 0. -2669, -1295 Determine g, given that 6660875*g**4 - 26643490*g**3 - 73269665*g**2 - 39965360*g - 60 = 0. -1, -2/1332175, 6 Let -n**4/9 + 9728*n**3/9 - 7619054*n**2/3 + 1756893672*n - 5247853029 = 0. Calculate n. 3, 1539, 6647 Factor v**3/9 + 4933*v**2/9 - 390781*v/9 + 385847/9. (v - 77)*(v - 1)*(v + 5011)/9 Determine z so that 4*z**2 - 9212*z - 5382552 = 0. -483, 2786 Solve w**5 - 7878*w**4 - 531733*w**3 - 4623378*w**2 - 4866444*w + 32606280 = 0. -57, -6, 2, 7945 Factor -3*o**2/5 + 165927*o/5 + 131589486/5. -3*(o - 56091)*(o + 782)/5 Determine i so that 44*i**2/9 - 10048820*i/3 + 12789336 = 0. 42/11, 685143 Find c, given that -2*c**5 - 100*c**4 + 21158*c**3 + 152320*c**2 = 0. -128, -7, 0, 85 Factor v**3 + 5669259*v**2 - 5669260*v. v*(v - 1)*(v + 5669260) Factor -2*y**3/3 - 388*y**2 + 61838*y/3. -2*y*(y - 49)*(y + 631)/3 Suppose z**5/3 + 1241*z**4/3 + 140363*z**3/3 - 141605*z**2/3 = 0. What is z? -1115, -127, 0, 1 Solve a**5 - 123014942*a**4 + 3783168988815841*a**3 = 0 for a. 0, 61507471 What is m in -3*m**5 - 357*m**4 - 1056*m**3 + 398304*m**2 - 6324480*m + 28512000 = 0? -100, -55, 12 Solve -l**3/4 - 167314*l**2 - 2007759*l/4 = 0 for l. -669253, -3, 0 Let 12895213625*i**5 - 1276609651800*i**4 - 1633203390*i**3 - 696464*i**2 - 99*i = 0. Calculate i. -1/2345, 0, 99 Factor -2*w**2/7 + 1862110*w/7. -2*w*(w - 931055)/7 What is i in -i**5 - 40*i**4 + 3011*i**3 - 25110*i**2 = 0? -81, 0, 10, 31 Let r**2/4 - 9677060*r + 93645490243600 = 0. Calculate r. 19354120 Factor -4*m**4 - 21240*m**3 - 35850100*m**2 - 20321370000*m - 3661482250000. -4*(m + 430)**2*(m + 2225)**2 Factor 252*d**3 - 37680560*d**2 + 1408556750796*d - 44716049352. 4*(d - 74763)**2*(63*d - 2) Find h such that 3*h**5 + 45873*h**4 - 1194255*h**3 + 7213587*h**2 - 11027916*h + 4962708 = 0. -15317, 1, 6, 18 Factor 2*a**2/19 - 200518*a/19. 2*a*(a - 100259)/19 Factor 324*d**3 + 1081908*d**2 - 3007175*d + 2088750. (d + 3342)*(18*d - 25)**2 Factor 3*p**2 + 70004112*p + 408381308075712. 3*(p + 11667352)**2 Suppose 5*z**3 + 67530*z**2 - 45347565*z - 90965210 = 0. Calculate z. -14147, -2, 643 Determine o so that -2*o**4/15 - 17794*o**3/5 - 480292*o**2/15 - 142304*o/5 = 0. -26682, -8, -1, 0 Determine t so that 12*t**3 - 29332*t**2 - 353868*t + 383188 = 0. -13, 1, 7369/3 Determine q so that 20*q**4 - 2335065*q**3 + 2918765*q**2 + 4086330*q - 1167520 = 0. -1, 1/4, 2, 116752 Factor 5*w**3 - 80795*w**2 - 242420*w - 161620. 5*(w - 16162)*(w + 1)*(w + 2) Find m such that -m**5/3 - 1429*m**4/3 - 21223*m**3/3 - 18367*m**2/3 + 21224*m/3 + 19796/3 = 0. -1414, -14, -1, 1 What is r in -9*r**4/4 + 45059091*r**3 - 601576784578359*r**2/2 + 669296316639274011495*r + 892395222536101930383/4 = 0? -1/3, 6675421 Factor 5*s**3 + 459555*s**2 - 36795620*s + 71752980. 5*(s - 78)*(s - 2)*(s + 91991) Find d, given that -d**4/5 - 959831*d**3/5 + 10558274*d**2/5 + 11518104*d/5 = 0. -959842, -1, 0, 12 Factor 28*p**2/3 - 1640356*p/3 + 546776. 4*(p - 1)*(7*p - 410082)/3 Factor -3*f**2 + 38274*f - 117514056. -3*(f - 7612)*(f - 5146) Suppose 2*t**5/5 - 166*t**4 - 15928*t**3 - 71360*t**2 + 1809408*t/5 = 0. Calculate t. -76, -8, 0, 3, 496 Factor -2*w**2/5 + 1493650*w - 29872968/5. -2*(w - 3734121)*(w - 4)/5 Determine h, given that 6*h**5 + 2261638*h**4 + 213120368140*h**3 - 923571603264*h**2 - 710433895680*h = 0. -188472, -2/3, 0, 5 Factor 4*p**4 + 83515552*p**3 + 435928047632084*p**2 + 871855761201992*p. 4*p*(p + 2)*(p + 10439443)**2 Suppose -1985*n**5 + 198540*n**4 + 815805*n**3 + 602800*n**2 - 12480*n = 0. Calculate n. -3, -1, 0, 8/397, 104 Find c, given that -c**4 + 100*c**3 - 2016*c**2 = 0. 0, 28, 72 Factor 5*z**2 + 19543330*z + 19543325. 5*(z + 1)*(z + 3908665) Let 5*g**2 + 95540320*g + 456397637285120 = 0. What is g? -9554032 Let -20800*q**4 - 664635*q**3 - 613930*q**2 + 29595*q - 310 = 0. What is q? -31, -1, 1/64, 2/65 Factor 4*j**2 - 269512*j - 2695520. 4*(j - 67388)*(j + 10) Suppose -5*r**2 - 3864123100*r - 746572366597680500 = 0. Calculate r. -386412310 Suppose -h**4/8 - 537*h**3/8 + 3105*h**2/4 + 85644*h - 1533168 = 0. What is h? -546, -39, 24 Factor 5*b**4 - 40*b**3 - 11065*b**2 - 165300*b. 5*b*(b - 57)*(b + 20)*(b + 29) Let -t**4/6 - 830*t**3/3 + 5584*t**2 - 26880*t = 0. What is t? -1680, 0, 8, 12 Let 902*o**2/3 + 137120*o/3 + 2432/3 = 0. What is o? -152, -8/451 Find y such that 15*y**3 - 14289*y**2 - 789618*y - 313560 = 0. -52, -2/5, 1005 Solve -18314282871361*j**2/4 - 25677114*j - 36 = 0 for j. -12/4279519 Find u such that u**4 - 17549*u**3 - 17550*u**2 = 0. -1, 0, 17550 Determine l so that 2*l**3 - 54766*l**2 - 5271360*l - 126623232 = 0. -48, 27479 Factor 8788*o**5 - 47829704*o**4 + 86804757312*o**3 - 52590200854016*o**2 + 104833565175808*o. 4*o*(o - 2)*(13*o - 23576)**3 Solve 2*d**2/19 + 22932896*d/19 + 65739714868352/19 = 0. -5733224 Determine l so that -3*l**4 + 81480*l**3 - 553493538*l**2 + 3317458488*l + 3871033509 = 0. -1, 7, 13577 Factor 2*u**2/5 - 167657896*u + 17568231306966760. 2*(u - 209572370)**2/5 Find t such that 53792*t**4/11 + 11189392*t**3/11 + 136450*t**2/11 + 416*t/11 = 0. -208, -1/164, 0 Find i such that -i**3/4 + 14661*i**2 - 3280871*i/4 - 834879 = 0. -1, 57, 58588 Solve -2*w**4/11 + 180024*w**3/11 + 1800406*w**2/11 + 3060804*w/11 - 5041232/11 = 0 for w. -7, -4, 1, 90022 Factor 5*v**2 - 44178000*v + 132533955. 5*(v - 8835597)*(v - 3) Determine i, given that 2*i**2 + 46955708*i + 275604814222658 = 0. -11738927 Factor 286*r**2/3 - 1510075*r/6 - 2200. (r - 2640)*(572*r + 5)/6 Factor 475*f**3 - 76515*f**2 + 518490*f - 43120. 5*(f - 154)*(f - 7)*(95*f - 8) Factor -105*n**2 - 119173*n + 2270. -(n + 1135)*(105*n - 2) Determine r, given that -r**5 - 304*r**4 - 11714*r**3 - 71804*r**2 - 146973*r - 86580 = 0. -260, -37, -3, -1 Determine s, given that -4611141463233762*s**4/5 - 3074093924691636*s**3/5 + 51217448*s**2 - 16*s/15 = 0. -2/3, 0, 2/48016359 Find v, given that 9*v**5 + 1061979*v**4 - 8850341*v**3 + 12862753*v**2 + 11682612*v + 2124108 = 0. -118006, -1/3, 3, 6 Let -77348979*i**3 - 51565824*i**2 - 8594223*i + 18 = 0. What is i? -1/3, 6/2864777 Determine r so that -20*r**4/3 + 200675*r**3/3 - 351130*r**2/3 + 100315*r/3 + 16720 = 0. -1/4, 1, 10032 Suppose -t**4/7 - 656531*t**3/7 - 562737*t**2 - 5908725*t/7 = 0. What is t? -656525, -3, 0 Let 3*y**4 - 7254*y**3 - 1362384*y**2 + 2746518*y - 1376883 = 0. What is y? -177, 1, 2593 Solve 4*r**3 - 82780*r**2 - 6816596*r + 36151980 = 0. -87, 5, 20777 Determine d, given that 5*d**3 + 4220*d**2 + 567840*d = 0. -676, -168, 0 Factor 27083*b**4/5 - 54137*b**3/5 + 5405*b**2 + 29*b/5. b*(b - 1)**2*(27083*b + 29)/5 Factor -3*y**2 + 73918347*y + 147836706. -3*(y - 24639451)*(y + 2) Determine i so that i**5 + 249*i**4 + 2507*i**3 - 26157*i**2 + 61956*i - 38556 = 0. -238, -18, 1, 3 Factor 2*k**2 - 85733960*k + 918788987160200. 2*(k - 21433490)**2 Factor -2*z**4 + 1576*z**3 - 1490*z**2 - 66108*z. -2*z*(z - 787)*(z - 7)
{ "pile_set_name": "DM Mathematics" }
i + 11 = -3*m - 35, -i - 3*m = -64. Suppose -f + c + 28 = f, -3*f - 5*c + i = 0. Solve -n*q - 2*q - f = 0 for q. -3 Let m be ((-6)/(-8))/(915/(-120) - -8). Solve m*s = 4*s for s. 0 Suppose -73 = 3*j - 16. Let a = j + 21. Solve 3 + 5 = a*x for x. 4 Let j(a) = -4*a + 9*a - a**2 + 2*a**2. Let k(h) = -6*h. Let m be k(1). Let z be j(m). Solve -2*o + 0 = -z for o. 3 Let o be ((-1)/(-2))/(-1 + (-15)/(-12)). Suppose 5*h + 25 = 0, 0*h = 5*p - o*h - 25. Solve -25 = 2*z + p*z for z. -5 Let s = -33 + 34. Let n be 1/s + (-4 - -3). Solve -t - 2*t - 15 = n for t. -5 Let g(a) = a**3 - 3*a**2 - 12*a + 23. Let x(k) = 2*k**3 - 6*k**2 - 25*k + 46. Let t(r) = 7*g(r) - 3*x(r). Let y be t(4). Solve -5 = y*d - 17 for d. 4 Let g(h) = h**2 - 20*h + 67. Let n be g(4). Suppose 3*c - 40 = -c. Let i = -6 + c. Solve n*x - i*x = -3 for x. 3 Let a(i) = -i**2 + 2*i + 9. Let t be a(3). Solve 2*l - 10 = -t for l. 2 Let p be (5/2)/(7/28). Let d = -51 + 51. Solve d = -3*l + p + 2 for l. 4 Let r(v) = -v**2 + 16*v + 82. Let d be r(20). Solve -10 = 2*y - d for y. -4 Let n be (3 - 6) + -1 + 6. Let g be (-1)/((4/6)/n). Let r = g - -4. Solve -3*j + r = 7 for j. -2 Let j(b) = b + 8. Suppose -3*m = l - 0*l + 6, -4*m = 4*l. Let p be j(m). Solve 0*u + p*u + 25 = 0 for u. -5 Suppose 0 = -5*d + 2*a + 31, 0 = 4*d - 0*a - a - 23. Let g(t) = -d*t + 6*t + 17 + 0*t. Let i be g(0). Solve -i = 5*l - 7 for l. -2 Let c = -69 + 124. Let s be (-6)/33 + 120/c. Let k be (1 - 1)*2/2. Solve k = s*g - 2 - 4 for g. 3 Let f be (-3)/(-1) - (-4)/4. Suppose -h = 5*u - 7, 0 = -3*u - f*h - 6 - 0. Let k be 2 - (0/(-1))/2. Solve 4 - k = -u*w for w. -1 Let c(p) = p**3 - 8*p**2 - 12*p + 24. Let f be c(9). Let h be f*(-5)/(-15) + 1. Solve 2*w + h = -4 for w. -2 Suppose 45 = 4*o - 75. Let j be (-40)/o*3/2. Let d(l) = l**3 + 3*l**2 - 3*l - 1. Let i be d(j). Solve 3*w + 0*w = -i for w. -3 Let r = 13 - 8. Suppose 3*v - f = -0*f + 65, -r*v = 2*f - 101. Let q = v + -19. Solve q*c + 5 + 5 = 0 for c. -5 Let f = 22 - 16. Let h(x) = -3*x**2 + 63*x + 7. Let b(o) = -o**2 + 21*o + 2. Let m(p) = -8*b(p) + 3*h(p). Let t be m(20). Solve -f*c + c = t for c. -5 Suppose 78*z - 498 = -5*z. Solve -33*q = -39*q + z for q. 1 Suppose -8*s + 6 = -6*s. Let a be -6*s*6/27. Let v = 10 + a. Solve -y + v = y for y. 3 Let q(x) = -3*x - 95. Let g be q(-38). Solve g*c + 6 = 21*c for c. 3 Suppose -4*a + 14 = -10. Let o be (-6 + a)*(-3 + 2). Solve o = -2*j - 6 - 0 for j. -3 Let s be -6 - 1/(0 - 1). Let g = 9 + s. Suppose -g = -3*i - 1. Solve 3 + i = -4*f for f. -1 Suppose 2*y - 5*y = -42. Let h = y - 11. Solve -h*p + 15 = -6*p for p. -5 Suppose 5*u + 20 = -4*j + 3*j, -4*j + 20 = -5*u. Suppose -5*c + 1 - 6 = j. Let w be (3 - 9/3)/c. Solve -3*o = -w*o + 15 for o. -5 Suppose 4*f - 168 = 124. Let s = 79 - f. Solve -5*j + s = -19 for j. 5 Let m = -3 - -6. Suppose -z = -m*z. Let h be (1 - z - 4) + 6. Solve 2 = -h*i - 10 for i. -4 Let m(d) = -d**2 + 7*d + 18. Let k be m(8). Solve -4*p = 2 - k for p. 2 Let a = 88 - 48. Let g be 1/4 - 10/a. Solve 4 = -g*w - 2*w for w. -2 Suppose -48 = -2*d - d. Suppose 22 = 2*t + 2*i, -3*t = i + 3*i - 29. Suppose -3*z + 4*n + t = -14, 4*z - 17 = n. Solve v = -z*v - d for v. -4 Suppose -1 = -7*w + 13. Solve -o = w - 4 for o. 2 Suppose -3 = -3*d - 27. Let g = d - -11. Let y be 8/((-80)/(-190)) + -7. Solve -3 = g*h + y for h. -5 Let k(j) = -j**3 + 2*j**2 - 1. Let z be k(1). Let i be (-90)/(-24) - 4/(-16). Solve z*c - 4*c = i for c. -1 Let t = -358 + 383. Solve t = 44*k - 39*k for k. 5 Let z(a) = -2*a**2 - 12 + 8*a - 3*a**2 + 4*a**2 + 3. Let o be z(6). Solve -o*r = 6 + 9 for r. -5 Let x = 1 + 14. Suppose 14 = 3*u - 22. Suppose 4*t = 7*t - u. Solve x = c + t*c for c. 3 Let g = 601 - 577. Solve 0*y = -8*y + g for y. 3 Let m(q) = -20*q - 1. Let z be m(1). Let y = -18 - z. Solve y*w - 8 = w for w. 4 Suppose -p = 3*t + 4*p - 60, 0 = -5*t + 3*p + 66. Solve 2*g = -g + t for g. 5 Let r = -4 + 11. Let d(l) = -l**3 + 53*l**2 + 12*l - 631. Let v be d(53). Solve 8 = v*a - r for a. 3 Let t be (0 + 0)/(2 + -3). Solve -2*g + t = -8 for g. 4 Suppose -8*t = -128*t + 480. Let g be (-1)/(-2) - 22/(-4). Solve g = -t*j - 14 for j. -5 Let g = -304 - -308. Let c be (-2 + 1 + 0)*-3. Solve 5*n - c*n + g = 0 for n. -2 Let d be (-20)/(-6)*(-3 - 45/(-10)). Solve -d*a = 3*a + 24 for a. -3 Let i(a) = -a**2 + 9*a - 6. Let x be i(8). Suppose -2 = -f - 4*u, 4*f + u - x = 6. Solve 2 = -f*z - 0 for z. -1 Let x(t) = -t**3 + 17*t**2 + 30*t + 22. Let c be x(19). Let h = -122 - c. Solve 3*g = h*g + 15 for g. -3 Let w(c) = c**2 + 16*c + 4. Let s be w(-16). Suppose s*o + 3*o = -0*o. Solve o = -2*p - 3*p for p. 0 Suppose -o - 7 = -u - 2, 2*u = 3*o + 5. Solve -u*l + 9*l = 1 for l. -1 Suppose 174 = 5*n + 134. Let a = 2 - -1. Solve -n = a*k + 7 for k. -5 Suppose -5*a - 5*t + 15 = 0, -30*t = -3*a - 35*t + 11. Solve -d - a = 2 for d. -4 Let p be (-2)/(-2 - 16/(-10)). Let v(b) = 8*b**2 - 243*b + 98. Let t be v(30). Solve 3*l - p*l - t = 0 for l. -4 Suppose 12*v - 101 - 55 = 0. Let w(d) = d**2 - 15*d + 29. Let m be w(v). Solve -m*u = -0*u + 12 for u. -4 Let x(m) = m**2 - m - 1. Let l(u) = -u**3 + 12*u**2 - 11*u - 6. Let o(p) = -l(p) + 6*x(p). Let y be o(5). Solve d + y = 2 for d. 2 Let c be 4/8*-28*6/(-21). Solve 6*w + c = 5*w for w. -4 Let b(q) = q. Suppose -21 = -3*s - 3. Let m be b(s). Let k = 10 - m. Solve -4*v + k + 12 = 0 for v. 4 Let u(b) = -4*b**3 - 9*b**2 + 7*b + 3. Let f(j) = j**3 + 2*j**2 - 2*j - 1. Let s(k) = -9*f(k) - 2*u(k). Let r be s(-2). Solve -5*x = -r*x for x. 0 Let j(r) = 2*r**2 - 13*r + 4. Let v be j(7). Solve -8*u = -v - 13 for u. 3 Let s = -476 + 478. Solve 0 = -9*u + s*u - 7 for u. -1 Suppose 0 = 7*a - 10*a + 9. Solve -3*g - 6 - a = 0 for g. -3 Suppose 3*i - 6*d + d = 34, 3*d = -3*i + 18. Suppose 2*u - i = -0*u. Solve -u = -q - 0 for q. 4 Let n(u) = -3*u**2 - 18*u - 15. Let m be n(-5). Solve m - 1 = -w for w. 1 Let v = 78 + -82. Let d be v - 1*-8 - 4. Solve d = -3*r - 11 - 4 for r. -5 Let x be 6/(-4)*(-164)/(-6). Let i = x + 42. Suppose 13 = 2*l - 1. Solve i = 2*k + l for k. -3 Let o be 408/32 + 25/20. Solve -6*f - f + o = 0 for f. 2 Let h = 336 - 318. Solve 0 = -22*k + h*k + 20 for k. 5 Let p(b) = b**3 - 6*b**2 - b + 8. Let t be p(6). Let f be (-2 + 33/9)*3. Suppose 15 = 2*j + f*u, -2*u = 2*j - u - 3. Solve j = -t*q + 3 + 3 for q. 3 Suppose o - 29 - 4 = 0. Suppose 42 = y + o. Solve 3*r = 6*r - y for r. 3 Suppose 0 = 3*h - 5*v + 9, -2*h + 3*v = -0*v + 5. Solve -h*u + 6*u = 12 for u. 3 Suppose 7*w - 1330 = -287. Let b = 154 - w. Solve -9 = b*o + 11 for o. -4 Let z(x) = -x + 4. Let n be z(7). Let k be -4 + 3 - n/1. Solve -k*h + 2 = -6 for h. 4 Let d be (-29)/58*(0 + -8 - -2). Suppose -4*o + 3*k + 36 = -0*k, 0 = -4*o - 2*k + 56. Suppose 5 = 2*a - 5. Solve -d - o = -a*f for f. 3 Suppose 8 = 4*l - 2*h - 28, 4*l - 36 = -2*h. Let o(m) = -m**3 - 3*m**2 + 16*m - 12. Let a be o(-6). Suppose 5*i + 0*i - 100 = 0. Solve a = 4*t - l*t - i for t. -4 Let d be (0 - -3)*51/(-9). Let p = d - -20. Solve 10 = p*n + 2*n for n. 2 Let j(u) be the second derivative of u**5/20 - 3*u**4/2 + 8*u**2 - u. Suppose 378 = 15*l + 6*l. Let q be j(l). Solve -q = -2*f - 2*f for f. 4 Let y = 112 - 74. Let s be 171/y*(-4)/(-6). Solve -s*l = -5 - 1 for l. 2 Let w(v) = 15*v + 263. Let p be w(-17). Solve -p*q + 14*q = 0 for q. 0 Let j = -5 + 4. Suppose 0 = -5*v + 2*v + 9. Let o = v + j. Solve -3*r - 1 = o for r. -1 Let s = 54 + -49. Suppose -o + 3*w - 12 = 0, 0*w - s*w = 3*o - 20. Suppose -3*f + 33 = -0*f + 3*t, 4*f - 5*t - 80 = 0. Solve 5*y + f + 10 = o for y. -5 Let y(t) = 2*t**2 - 64*t - 163. Let x be y(35). Solve -15*i + 17 = x for i. -2 Let y(r) = -r**3 - 9*r**2 + 4. Let n be y(-9). Let m be n*-2*(-3)/12. Solve m*b + 0*b = -8 for b. -4 Let c(y) = 3*y**2 - 16*y - 2. Let r be c(7). Suppose -h = h + 3*i + 21, h - 3*i = -33. Let o = h + r. Solve -2*x = -7*x + o for x. 3 Let k = 795 - 792. Solve -k*u = -2 - 4 for u. 2 Let q be 0/(4 + (-15)/5). Suppose 2*k - 16 = 3*r, -4*r - 6 = -2*k - 6*r. Suppose 0 = 2*m - h - h + 2, 0 = -k*m - 4*h + 22. Solve 0 = m*w - q*w for w. 0 Suppose 0 = -0*g - 3*g + 60. Suppose -g = 4*s - 9*s. Let w = 12 + s. Solve b - w = -3*b for b. 4 Suppose -5*k + 6*o - 7*o + 587 = 0, o = -3*k + 353. Let z = k - 117. Solve 2*c + 7 + 3 = z for c. -5 Let g = 45 - 42. Suppose h + 3 =
{ "pile_set_name": "DM Mathematics" }
= 0 for o. -1 Let i(t) = t + 3. Suppose -5*f - 9 = 21. Let m be i(f). Let y be m/((-6)/4) + 2. Solve y*c - 6*c = 0 for c. 0 Suppose -3*y = -0*y + 420. Let z = -124 - y. Solve 0 = -2*b + z - 6 for b. 5 Suppose r = -64 + 60. Let b(u) be the third derivative of -u**4/8 - 5*u**3/3 - u**2. Let g be b(r). Solve 0 = d - g*d + 5 for d. 5 Suppose 0 = 13*w - 10*w - 81. Solve w*y - 10 = 22*y for y. 2 Suppose 184 = 101*i - 93*i. Solve -4*s - 23 + i = 0 for s. 0 Suppose w + 1 = -2*a, 6*a - 1 = -4*w + 3*a. Let s be (w/(-2))/((-11)/66). Solve 2*q - 5 = -s*q for q. 1 Suppose i - 4 = 4*z, z = -2*i + 36 - 10. Solve u + i - 13 = 0 for u. 1 Let o = 3 + -4. Let d be (-2)/o*(-15)/(-6). Suppose 10*p = d*p + 10. Solve 0 = 5*l + 8 + p for l. -2 Let g be (-2)/(-2) - (-10 - (6 + -12)). Suppose 5*c = -g, -c - 3 = -2*l + 2*c. Solve 0 = -l*t + t - 4 for t. 4 Let s be 4 + (-3)/3 - 0. Suppose -8 = -3*w + 2*j, -s*w + 5*j + 15 = 2*w. Solve 4*v = 6 + w for v. 2 Let t be (2 + -1 - -3) + 2. Suppose 3*n = -t*n. Solve -3*l + 8*l - 25 = n for l. 5 Let v(t) = -25*t + 378. Let u be v(15). Solve -u*k - 2 = -8 for k. 2 Suppose 7*y + 69 + 15 = 0. Let s be 80/56 + y/(-21). Solve -s*p + 0*p - 6 = 0 for p. -3 Let g be (-9 - -14) + -4*15/(-20). Solve -3*v + 11 = g*v for v. 1 Let s(b) = b**2 - 35*b + 81. Let n be s(33). Suppose m - 3*m + 8 = 0. Solve -m*c + c = -n for c. 5 Let n(z) = 11*z - 341. Let p be n(31). Solve p = -6*s - 12 - 12 for s. -4 Suppose 2*b = 5*s + 22, 0 = -4*b + 6*b - 2*s - 28. Let w = b + -16. Suppose 0*q + 8 = q. Solve w*u + q = 4*u for u. 2 Let v be -2*6*(3 - 4). Let l be 5/(1 - -14)*v. Solve -4 - 4 = -l*t for t. 2 Let w(u) = -u**2 + 3. Let j be w(0). Suppose 0 = -j*q + 5*a + 40, 2*q - 24 = 2*a - 0. Suppose 2*d - 25 = -5*g, g + 5 = d + 2*g. Solve q = -d*o - 2*o for o. -5 Let w be 3/((4/(-40))/((-8)/60)). Suppose -k - 2*r + 10 = 0, -w*k + r - 5 = -0*r. Suppose -6 = 3*o, 4*q - 7 - 39 = 3*o. Solve -5*v + k*v = q for v. -2 Suppose -3*y + 14 = s, 4 = -2*s - 4. Suppose y*q = 10*q - 8. Solve 5 = -q*x + 1 for x. -2 Let h(a) = -6*a**3 + 2*a**2 + 2*a - 8. Let t(c) = -c**3 - 1. Let g(w) = -h(w) + 5*t(w). Let r be g(3). Let y be 65/10 - 9/r. Solve -k - y = -2*k for k. 5 Let o be (-8)/(-6)*(-33)/(-22). Suppose 75 = t + o*t. Suppose 4*z - 13 = a, -3*a - 5*z + t = -z. Solve -a*d = 2*d for d. 0 Let i(d) be the second derivative of d**5/20 - 2*d**4/3 + 13*d**3/6 - 2*d**2 + 12*d. Let w be i(6). Solve -6 = 2*r + w for r. -4 Let f(p) = -p**3 - 13*p**2 + 29*p - 11. Let o be f(-15). Suppose 0 = w - o*w + 4*r + 12, 0 = -3*w + 2*r + 12. Solve h + 2 - w = 0 for h. 2 Let n = 112 + -109. Suppose 2*i - 3*c = 8, c = i - 5*i - 12. Let m be ((-32)/(-10))/(i/(-5)). Solve m = -f + n for f. -5 Let w = 0 + 7. Solve -4*k - 19 = -w for k. -3 Suppose 4*u - 64 = -4*m, -4*u - 2*m + 72 = -0*m. Solve u*r = 15*r + 15 for r. 3 Suppose 0 = -5*u - 10 - 55. Let a = u + 15. Suppose 5*x - 2*b = 56, -2*b = x - a*x + 16. Solve y + 4*y = x for y. 2 Suppose 4*h + 4*c + 248 = 0, 3*h + 2*c = 5*h + 108. Let w = 61 + h. Solve -5 + w = -l for l. 2 Suppose n + 0 - 5 = 0. Let k be 6/10 - (n - 192/30). Solve -m + k = 3 for m. -1 Let n(p) = p**2 + 1. Let d be n(1). Let o be (-584)/438 + (-68)/(-6). Solve -d*r + o = 3*r for r. 2 Let z = -32 - -36. Suppose -5*p - z*j = -40, 4*p - 5*j = 2 - 11. Solve -4 = -p*h + 3*h for h. 4 Let f(l) = -l. Let m(q) = -6*q. Let h(p) = -4*f(p) + m(p). Let g = -77 + 72. Let y be h(g). Solve 5*b - y = -0*b for b. 2 Let b(a) = -a**2 + 11*a + 34. Let v be b(0). Solve 14 - v = 5*p for p. -4 Suppose 10*l = 11*l + 3*o - 14, 0 = -3*o + 3. Solve -l = z - 14 for z. 3 Let c = 25 + -26. Let s be ((0 - 1)*2)/c. Solve -s*u + 3 + 3 = 0 for u. 3 Let k = -286 + 300. Solve k - 8 = -3*g for g. -2 Let s(w) = -w - 4. Let f be s(-8). Suppose -47 = -f*o + 33. Solve c - o = 5*c for c. -5 Suppose w - 5*f = -2*w + 28, -5*f = w - 36. Suppose w = 2*l - 5*n - 4, 3*l - 30 = n. Suppose 6*i + 40 = l*i. Solve 5 + i = 5*a for a. 3 Suppose g = 3*x + 12, -4*x - 4 = -2*g + 12. Solve g = -3*i - 9 + 3 for i. -2 Let q = 6 + 1. Suppose 0 = q*c - 3*c - 12. Solve -3*n - 6 = c for n. -3 Let w(v) = 10*v**3 - 2*v**2 + 2*v. Let x be w(1). Solve -x*z + 14 = -6 for z. 2 Suppose 5*p = -13*j + 16, -6*j + 3*j + p = -8. Solve -j*t + 4 = -2 for t. 3 Let r be 990/220*8/3. Solve -4*d + d = r for d. -4 Let h(t) = t**3 + 9*t**2 + 17*t + 30. Let c be h(-6). Solve 12*j + c = -12 for j. -4 Let d(t) = -t**3 - t + 1. Let z(s) = 2*s + 8. Let i be z(-4). Let l be d(i). Let m(r) = 4*r**3 + 1. Let q be m(l). Solve 2 = q*v - 3 for v. 1 Let l(m) = 3*m**2 + 36*m + 69. Let o(u) = -u**2 - 12*u - 23. Let a(d) = 2*l(d) + 7*o(d). Let z be a(-9). Solve -5 = -z*c - c for c. 1 Suppose -4*t - 16 = 0, -3*v - 5*t - 8 = v. Let k(c) = -2*c**2 - 9*c - 3. Let h be k(-7). Let b = -28 - h. Solve -r - b = -v*r for r. 5 Suppose -4*x + 34 = 5*g - 29, 4*x = -4*g + 52. Solve 0 = -9*v + g + 7 for v. 2 Let x be (2964/18)/13 + 2/(-3). Solve 15*i - 19*i + x = 0 for i. 3 Let k = 14 - 4. Let p(l) be the second derivative of -l**5/20 + 3*l**4/4 + 5*l**3/3 + 2*l**2 + 425*l - 2. Let h be p(k). Solve 4 + 12 = -h*n for n. -4 Let g(h) = -2*h**2 - 26*h + 80. Let l be g(-14). Solve 9*p = -4*p - l for p. -4 Let d(z) be the first derivative of z**2/2 + 6*z + 2. Let h be d(-6). Suppose 4*w + 2*w = h. Solve w*j = 5*j + 10 for j. -2 Let u(t) = t**3 - 14*t + 15. Let n be u(3). Solve 5*s + 16 - 1 = n for s. -3 Let p = -1 - -7. Let i be (p/(-6))/(2/(-6)). Suppose h - 2*h = -i. Solve 1 = h*u - 2*u for u. 1 Let n be (-1 - 12/4) + 6. Let t be 21/(n - 5)*(-4)/14. Solve t*z = -z for z. 0 Let q be (2/4)/(-3 + 65/20). Suppose 3*n + 2*k + q*k - 29 = 0, 0 = -2*n - 5*k + 10. Solve n = 4*d + d for d. 3 Let z(d) = -2*d**2 + 2*d - 4. Let m = -16 - -13. Let t be z(m). Let n = t + 36. Solve -j + n = -5*j for j. -2 Suppose -3*g + 50 = 35. Solve g*o + 3 = 23 for o. 4 Suppose 3*x - x - 10 = 0, 31 = 2*r + 5*x. Solve -m = 3*m + r*m for m. 0 Let p = 82 - 82. Solve 6*g + p + 6 = 0 for g. -1 Suppose 5*j + 11 = 3*k + 35, 2*j - k = 9. Solve -2*a = -5 + j for a. 1 Let z(x) = 39*x - 152. Let k be z(4). Solve -11 = -k*d + 1 for d. 3 Suppose -t - 2*s - 8 = 1, 0 = 5*t - s + 1. Let c be 2*3/2 - (4 + t). Solve c = -3*d + 6*d - 6 for d. 2 Suppose -54*b = -29*b - 225. Solve b*m + 3 = 8*m for m. -3 Let i be 606/101*(-2)/(12/(-5)). Let x(a) = -a - 6. Let w be x(-8). Let s be 18 + 4*w/4. Solve y - i*y = -s for y. 5 Let v be -32*1/5*(-580)/232. Solve v*b = 12*b - 8 for b. -2 Let n be 2/(-2 + (-20)/(-8)). Suppose n = -4*f + 4*i, 17 = -f - 5*i - 14. Let s(t) = t**2 + 5*t - 3. Let y be s(f). Solve 3*g - 2*g = -y for g. -3 Let i = 66 - 66. Solve -z + i = 3 for z. -3 Suppose -6*i = -4*i - 26*i. Solve 2*b - 13 + 3 = i for b. 5 Let v be 2/9 - (-710)/45. Let g be (24/(-5))/6*(-15)/6. Solve -g*b - v = -6*b for b. 4 Let n be 78/4 - (-21)/14. Let p be 24/(-14) + (-6)/n. Let v = 3 - p. Solve 5*r + 0 = -v for r. -1 Let p = -49 + 43. Let z = p + 10. Solve 0*w - 2*w = z for w. -2 Suppose -206*u = -200*u - 24. Solve 4 + u = -2*l for l. -4 Let c(i) = -i**3 - 24*i**2 + i + 28. Let x be c(-24). Solve -x = -0*l - l for l. 4 Let w = -28 + 46. Suppose -h = w - 20. Solve h*t + 8 = -0 for t. -4 Let f be ((-38208)/30)/(-8) - 2/10. Let q = -155 + f. Solve q = 4*i - 0 for i. 1 Let r(i) = i**3 + 7*i**2 + 11*i. Let u be r(-3). Solve -u*h + 15 = -6*h for h. -5 Let q = 164 + -180. Let k = 16 + q. Solve -4*f + 12 = -k*f for f. 3 Let a(c) = -3 + 1 - 7 - 2*c. Let k be a(-6). Solve 4 + 11 = -k*b for b. -5 Let n = -14 + 33. Let q = n + -15. Solve -q*z + 4 - 12 = 0 for z. -2 Let a be (-9)/2*((-14)/(-9) - 2). Solve 0 = a*n + 2*n + 12 for n. -3 Suppose 41 = 4*f + 3*w, -4*f + f + 30 = 3*w. Let k(r) = 0*r + 2*r + 8*r + 2*r**2 - 3*r**2 + 12. Let m be k(f). Solve 7 = -2*i - m for i. -4 Let k = 391 - 371. Solve k = 9*z - 16 for z. 4 Let f be -2*27/6*1/(-3). Solve -f + 19 = 4*v for v. 4 Suppose 5*i + 6 - 26 = 0. Let l(f) = -13*f - f**3 - i + 3*f**2 + 12*f**2 + 0. Let q be l(14). Solve t = -t - q for t. -5 Let r be 14 + -16 + (39 - (0 + -2)). Let h = 51 - r. Solve 2*z = -z - h for z. -4 Let d be 93 - (-7)/(35/(-20)). Suppose 3*o + 35 = d. Let k = o - 16. Solve 4*j = -6 - k for j. -2 Let q be -2 + (138/21 - (-12)/28). Suppose 2*m = k - 2, 65 = -5*k - 4*m + 19. Let c = k - -19. Solve q*z + c =
{ "pile_set_name": "DM Mathematics" }
- 232*j - 44 in the form p*j**2 + o + i*j**4 + t*j + g*j**3 and give o. -44 Express 7*q**3 + 2*q**2 + 8*q + 8*q**3 - 24*q - 6*q**3 - 7*q**3 - 32 as o*q**3 + g + r*q**2 + l*q and give g. -32 Rearrange (-18 + 9 - 32 + (-9 + 2 + 24)*(1 + 0 + 3))*((-2 - 1 + 4)*(-2*s + 2*s + s) + s - 4*s - s) to the form r*s + u and give r. -81 Rearrange (-2*f - f**2 - f**2 + 0*f**2)*(256 - 1635 + 465 - 1091) to the form j*f**2 + s*f + c and give s. 4010 Rearrange 12*h**2 - 531*h**3 + 531*h**3 + 13*h**4 - 11*h + 11*h + 2 to the form i*h**2 + p*h**3 + s + u*h + m*h**4 and give m. 13 Express -3*o + 4*o - 4 - o + 2990*o**3 - 2144*o**3 in the form u*o**3 + n*o**2 + g*o + x and give x. -4 Express (-194407*x + 101472*x + 145683*x)*(0 + 5 - 4) in the form u + z*x and give z. 52748 Express (r + 2 - 2)*(3*r - 2*r - 3*r) + 1513 - 1513 - 72*r**2 - 31 + 98*r - 98*r - 3*r**2 as q*r + w*r**2 + n and give n. -31 Rearrange 108*o**2 - 380*o**2 - 5 - 4*o + 177*o**2 + 4*o to a*o**2 + s + y*o and give s. -5 Express (24 + 13 + 11 + 6 - 9)*(a**3 - 394*a**3 + 60*a**3) as g*a + h + k*a**2 + z*a**3 and give z. -14985 Express -21*f - 10*f - 14*f + 46*f - 2*f**2 - 790 in the form z + a*f**2 + n*f and give z. -790 Rearrange 22*u**3 - 25*u + 49090 - 49091 - 2*u - 22*u + 2*u**3 to s + f*u + t*u**2 + r*u**3 and give s. -1 Rearrange -940*w**2 + 521*w**2 + 1 + 521*w**2 - w to z*w**2 + r + c*w and give r. 1 Express 1 - 5 - 64694*s + 69842*s + 4 in the form q + p*s and give p. 5148 Express -8219*z**2 + 1020408*z - 1020408*z as a*z + f*z**2 + l and give f. -8219 Rearrange (-705*w**3 + 16722*w - 16722*w)*(-12 - 8 + 8) to the form d*w**2 + l*w + o*w**3 + p and give o. 8460 Rearrange (-3*q - 4*q + 4*q)*(10074 - 1701 - 4246 + 9397) to the form c*q + k and give c. -40572 Rearrange -x**2 - 33 + 280*x**2 + 35 - 17*x**2 + 121*x**2 to the form d + j*x + f*x**2 and give f. 383 Rearrange 0*q**3 + 2*q**4 + 9*q**3 + 41374*q**2 + 3*q - 41374*q**2 + 0*q to the form u*q**2 + c*q**3 + o*q**4 + s*q + t and give s. 3 Express -129 + 266 - 331*b + 99*b - 133 in the form j*b + h and give j. -232 Rearrange (-1 + 1 + p - 3*p + 3*p - p + (1 - 2 + 3)*(-3 + 3 - p) + 2*p - 5*p + 2*p)*(-247 + 555 - 252) to a*p + w and give a. -168 Rearrange -308 + 91 + 76 - 5*x + 7 - 3*x to the form c + u*x and give u. -8 Express (-1186 + 2*n + 587 + 472)*(n - 2*n + 0*n)*(-1 - 3 - 2) in the form f + m*n**2 + x*n and give m. 12 Express 1502701*q**2 - 29*q + 5*q**3 - q**3 - 1502699*q**2 in the form i*q + b*q**3 + w*q**2 + d and give i. -29 Rearrange (-4 + 0 + 0)*(b + 416*b**2 + 398*b**2 - 766*b**2 + 3) to s*b**2 + m*b + j and give j. -12 Rearrange (-4593 + 24*f + 4593)*(-84 + 17 - 39 + (-4 + 1 + 1)*(-4 + 4 + 2) + 3 - 6 + 2 + 1 + 0 - 3) to y*f + r and give y. -2712 Rearrange (-2*k + 2*k + 2*k**2)*(1 + 21*k + k**2 - 793*k - 2*k**2)*(-6 + 1 - 1) to h*k**4 + r + j*k**3 + b*k + q*k**2 and give h. 12 Rearrange (-24 + 45 + 197)*(3*s + 7*s**2 + 0*s**2 - 2*s**3 - s**2) to q*s**2 + j + t*s**3 + x*s and give q. 1308 Rearrange 5*u**2 - 314988*u**3 + 315473*u**3 + 4*u**2 to q + t*u**2 + o*u**3 + y*u and give o. 485 Express -d + 3*d - 54365 - d + 54688 in the form f*d + t and give f. 1 Rearrange (6 - 15 + 8)*(1 + 0 - 3)*(-x - 4*x + 0*x)*(0 - 2 + 3)*(2 + 23*x + 5 - 5) to g + i*x**2 + h*x and give h. -20 Express (-3*h + 0*h + 5*h)*(-2 + 1 - 1)*((-35 + 41 + 14)*(2 + 1 - 4) + 4 + 0 + 2) as s*h + f and give s. 56 Rearrange 59*w**2 + 3*w - 40*w**4 - 34*w**4 + 85*w**4 - 73*w**2 to c + s*w**3 + j*w**2 + g*w + b*w**4 and give g. 3 Express (-2*f**2 + 0*f**2 + 0*f**2)*(3 - 5 + 0)*(21709 - 44454 + 14266) in the form r + z*f**2 + w*f and give z. -33916 Express (-13 - 8 - 12)*(-1 + 2 + 0)*(-212*a**2 - 300*a**3 + 212*a**2) in the form c*a + p*a**3 + b*a**2 + l and give p. 9900 Express 379*r**2 - 107 - 142*r**2 + 51 + 54 in the form v*r + o*r**2 + p and give o. 237 Rearrange (3665*k + 22577*k + 8849 + 26015*k - 8847)*(1 + 0 - 2)*(-1 - 1 + 0) to y*k + m and give m. 4 Express (43 + 11 + 37)*(w + 4*w + 6*w + 7*w) + (0 - 1 + 0)*(5*w + 4*w - 5*w) as o + q*w and give o. 0 Express -19*u - 4 + 10 - 20 + 41 in the form z + f*u and give z. 27 Express 349*y - 352*y + y**2 - 41*y**4 + 46*y**4 + 16*y**2 + y**3 in the form b + t*y**4 + h*y**2 + d*y**3 + z*y and give d. 1 Rearrange v**2 + 151*v**3 + 95*v - 338*v**3 + 185*v**3 - 1 to the form s*v + d*v**3 + w*v**2 + i and give s. 95 Rearrange -2*a - 5815 - 2*a + 5815 + 59*a**3 - 4*a - 3*a**4 to j + f*a**4 + s*a**2 + o*a + v*a**3 and give v. 59 Express -1794*f + 1235 - 55*f - 1235 in the form h + z*f and give z. -1849 Rearrange (2 - 5 - 4)*(2*x - 107 + 107) + (1 - 3 + 0)*(-2 + 2 + 1)*(2*x - 3 + 3) to the form g*x + n and give g. -18 Express (j + 0*j + 0*j)*(j - 3*j + j) + 3932*j**2 - 4039*j**2 - 1747*j**2 + 7 - 7 - 2*j**2 in the form f*j + v*j**2 + z and give v. -1857 Rearrange (1 - 5 + 2)*(-55*u + 1563*u + 5321*u) to z + q*u and give q. -13658 Express 230*l + 253*l - 462*l - 18*l**2 in the form t*l + j + b*l**2 and give t. 21 Rearrange (24*w - 6*w + 11*w)*(-105 - 96 + 172 + (-2 + 1 - 1)*(5 - 4 + 1)) to the form p*w + g and give p. -957 Express (-2 + 2*c**3 + c**3 - c**3 - 3*c)*(13947 - 19803 + 9638) in the form k*c**2 + j + t*c + z*c**3 and give t. -11346 Express -16*m**3 + 87*m**4 + 135*m**3 - m**2 - 2 - 2*m + 1 - 120*m**3 as t*m + l*m**2 + k*m**3 + a*m**4 + i and give k. -1 Rearrange 61*o**2 + 45*o**2 - 203*o**2 + 1344*o + 62*o**2 + 47*o**2 to c*o + y*o**2 + i and give c. 1344 Express 4621434*p - 4621434*p + 6722*p**2 as k + y*p**2 + z*p and give z. 0 Express 1392*g - 495*g + 640*g as f + k*g and give k. 1537 Rearrange 65*d**2 + 55*d**2 - 17*d - 40*d - 17*d - 119*d**2 to the form o*d**2 + c + v*d and give v. -74 Express -123370 + 4619*q + 61681 + 61689 as s + u*q and give u. 4619 Rearrange -7 - 18 - 27095*c**2 + 27148*c**2 to the form r*c**2 + f*c + x and give x. -25 Express (5*m**2 + 0*m**2 - 4*m**2 + (m + 0*m - 2*m)*(m - 2*m - m))*(51 - 51 + 16*m)*(328 - 60 - 55) as a*m**3 + k*m**2 + r*m + o and give a. 10224 Rearrange 380814 - 380814 - 4049*u to s + m*u and give m. -4049 Rearrange (-8*z + 7*z - 16*z)*(16 + 15 - 29) + (2 - 1 + 1)*(-7*z - 7 + 7) + z + 4*z - 2*z to r + s*z and give s. -45 Express -18*o + 5*o + 9*o + 9*o - 2*o - 2012 in the form t + u*o and give t. -2012 Rearrange 906*q**2 - 2723*q**2 - 27 + 868*q**2 + 876*q**2 - 89 to the form n*q + g*q**2 + r and give n. 0 Rearrange (386*v - 583*v + 1793*v)*(-3 + 0 + 1)*(2*v - 1 + 1)*(3*v - 3*v - v**2) to y + d*v + n*v**4 + g*v**2 + t*v**3 and give n. 6384 Rearrange (-3 + 2 - 1)*(-3 + 4 + 3*v + 1)*(-123 + 123 - 16*v)*(7 - 3 + 4) to j*v + n + k*v**2 and give n. 0 Express (-43 + 43 - 7*x)*((x + x - x)*(-1 + 3 - 1) + (1 - 43 + 26)*(-x + 0*x - x)) in the form k*x**2 + v + n*x and give v. 0 Rearrange (4 - 2 + 0 - l)*(22042*l**3 - 30374*l**3 - 46824*l**3) to o + p*l**2 + w*l**3 + d*l + g*l**4 and give w. -110312 Rearrange (0 + 3 - 2*s + 0*s)*(3*s - 2 + 2)*(-94 + 233 - 103 + (3 - 2 - 3)*(1 - 1 + 2) + 1 + 4 - 3) to a*s**2 + k + x*s and give x. 306 Rearrange (-2 + 2 - 2*r)*(-54*r - 1176*r + 517*r) + 4*r**2 - 5*r**2 - 3*r**2 to g*r**2 + v + u*r and give g. 1422 Express -1 + 499*p**2 + 121*p + 444*p**2 + 126*p - 248*p in the form k*p**2 + t*p + m and give m. -1 Rearrange -9*h**2 + 448*h - 19*h**2 + 47*h**2 - 30*h**2 + 72*h to t + x*h**2 + l*h and give x. -11 Rearrange u**3 - u**2 + u**4 - u**3 + (8 + 0 - 4)*(460*u**4 + 9682*u**4 - 427*u**4) to the form k*u**2 + o*u**4 + w*u + s + y*u**3 and give o. 38861 Rearrange -3567*f + 2455*f + 4407*f to i + c*f and give c. 3295 Express 2*q + 520055*q**2 - 520062*q**2 - 659*q**3 - 551*q**3 in the form l + j*q + z*q**3 + n*q**2 and give z. -1210 Express (6*p + 7*p + 2*p)*(0*p - 4*p + 2*p)*(37 + 49 - 32)*(-4 + 2 - 1) as w*p + q*p**2 + b and give q. 4860 Rearrange (4*a - 2*a - 3*a)*(-181 + 291 + 288 + 1 - 1 - 2 + (-3 - 2 + 4)*(0 - 5 + 6) - 2 + 2 + 1 - 8 + 9 + 6) to the form w*a + d and give w. -403 Express -3316*w**2 + 2 + w**3 + 6630*w**2 - 3316*w**2 + 1133*w as j*w**2 + r*w + u*w**3 + m and give r. 1133 Express -127969 + 255917 - 127970 - 164*j as h + c*j and give c. -164 Express -5837*o + 2752*o**3 - o**2 + 810*o**3 + 2*o**2 + 11671*o - 5836*o in the form w*o + b*o**2 + c + u*o**3 and give b. 1 Express o**2 + 0 - 3 - 27576*o + 14548*o + 14375*o in the form
{ "pile_set_name": "DM Mathematics" }
ending order. -6, -4, -3, -0.5, 0.024, 2/3 Sort -328, 1, 2, 3 in increasing order. -328, 1, 2, 3 Sort 10, -8, -44 in decreasing order. 10, -8, -44 Sort -5, 15, 11, -11, -4 in descending order. 15, 11, -4, -5, -11 Sort -2/21, -78, 1.6, -3/2, -5 in descending order. 1.6, -2/21, -3/2, -5, -78 Sort 5, -1, 60, -9, -2, 3. -9, -2, -1, 3, 5, 60 Put -2, 5, -1, -55, -4 in decreasing order. 5, -1, -2, -4, -55 Sort -1/7, -4/9, 41 in descending order. 41, -1/7, -4/9 Put -3, -24, 4, 7, -7 in decreasing order. 7, 4, -3, -7, -24 Sort 1, -1031, -1 in descending order. 1, -1, -1031 Sort 5, -191, 3, -2, 16. -191, -2, 3, 5, 16 Put 4, -2/17, 3/2, 150, 2/15 in decreasing order. 150, 4, 3/2, 2/15, -2/17 Sort 0.08597, 0, 3, -13, -0.2 in increasing order. -13, -0.2, 0, 0.08597, 3 Sort -3/8, -0.4, 6, -11.2, -3/4 in increasing order. -11.2, -3/4, -0.4, -3/8, 6 Sort -0.0499, -0.5, -3, 2/3, -2 in descending order. 2/3, -0.0499, -0.5, -2, -3 Put -52, 21, 4 in descending order. 21, 4, -52 Sort 3, -2, 2, 10, 1, -459. -459, -2, 1, 2, 3, 10 Sort 0, -158052, 6 in ascending order. -158052, 0, 6 Sort 55, 5, -1 in ascending order. -1, 5, 55 Sort 0, -2.146, -8 in descending order. 0, -2.146, -8 Sort 9, 2, -22, -3 in descending order. 9, 2, -3, -22 Put -1, -3, 2/7, 3.493 in decreasing order. 3.493, 2/7, -1, -3 Sort 4418, -2, 5, -5, 0 in descending order. 4418, 5, 0, -2, -5 Put 2/9, 102, -26 in increasing order. -26, 2/9, 102 Put 5, -2/3, 1, -5, -960 in decreasing order. 5, 1, -2/3, -5, -960 Put -55, -5, -4, 0, -3 in decreasing order. 0, -3, -4, -5, -55 Sort -13, -1, 58, -56 in increasing order. -56, -13, -1, 58 Put -2/305, 35, 5, 0.4 in descending order. 35, 5, 0.4, -2/305 Sort 10, 5, -434. -434, 5, 10 Sort -0.1, -1, 3/5, 0.226, 3 in descending order. 3, 3/5, 0.226, -0.1, -1 Sort -4, 93048, 3 in decreasing order. 93048, 3, -4 Put 17, -7, 776 in increasing order. -7, 17, 776 Put -2, 516, -212, -5 in descending order. 516, -2, -5, -212 Sort -3, -1, -9, -19, -2 in increasing order. -19, -9, -3, -2, -1 Put 1/3, -13, 5, -0.01157 in ascending order. -13, -0.01157, 1/3, 5 Sort -444, -13, 3. -444, -13, 3 Sort -509, 62, 9. -509, 9, 62 Put 4, -4, 1, 6, -1 in descending order. 6, 4, 1, -1, -4 Put 12, -203, 1/2 in decreasing order. 12, 1/2, -203 Put 904, -0.5, 4, -5, -2/11 in descending order. 904, 4, -2/11, -0.5, -5 Sort 30, -14, 3/2, -1/274 in ascending order. -14, -1/274, 3/2, 30 Put -0.2, 22, -310, 0 in descending order. 22, 0, -0.2, -310 Put 59, -96, 2, -3, -4, 3 in increasing order. -96, -4, -3, 2, 3, 59 Sort 5, 3, 15409, 1, 2 in decreasing order. 15409, 5, 3, 2, 1 Sort 121, -6, -10. -10, -6, 121 Put -34, 3, 1, 0, -53 in decreasing order. 3, 1, 0, -34, -53 Sort -57, 886, -5, 0 in increasing order. -57, -5, 0, 886 Put 0.3, -50, 229/3 in descending order. 229/3, 0.3, -50 Sort 0.275, 0.1, 14.5. 0.1, 0.275, 14.5 Put -3, 94, 2/15, -53, -4 in increasing order. -53, -4, -3, 2/15, 94 Put -28, 5, -7, -3, 1 in descending order. 5, 1, -3, -7, -28 Sort 0, 2.2, 0.2, 3, 0.3 in decreasing order. 3, 2.2, 0.3, 0.2, 0 Put -2, -131, -0.2, 197 in ascending order. -131, -2, -0.2, 197 Put 0, 0.02, -4, 14/45, 0.3, -0.3 in increasing order. -4, -0.3, 0, 0.02, 0.3, 14/45 Put -0.38, -527/4, -2, -2/7 in ascending order. -527/4, -2, -0.38, -2/7 Sort 0.1, 2, 199, 0.01, -1/3. -1/3, 0.01, 0.1, 2, 199 Sort -2, 261, 21, -4. -4, -2, 21, 261 Sort 5, -5, -880 in descending order. 5, -5, -880 Sort 2/5, -2/3, -13988 in decreasing order. 2/5, -2/3, -13988 Put 68, -7, 9, -4, 4 in decreasing order. 68, 9, 4, -4, -7 Put 8715, 2, 1 in ascending order. 1, 2, 8715 Sort -0.035, -0.07, -170 in descending order. -0.035, -0.07, -170 Put 1, 0.03, 13/27 in descending order. 1, 13/27, 0.03 Put 0.3, 5, -118, -1, 2, 91 in decreasing order. 91, 5, 2, 0.3, -1, -118 Sort 48, -9, 15 in decreasing order. 48, 15, -9 Sort -3, 0, 2003693. -3, 0, 2003693 Sort -7, -61, -1, -22. -61, -22, -7, -1 Put -201.3, -0.2, -0.12 in ascending order. -201.3, -0.2, -0.12 Put -8, 3, 1801, 1 in descending order. 1801, 3, 1, -8 Sort 4, -172, -3, 0, 5, 128 in decreasing order. 128, 5, 4, 0, -3, -172 Sort 5, -5, -2777 in descending order. 5, -5, -2777 Sort 1, 5, -1, -3, 68, 38. -3, -1, 1, 5, 38, 68 Put 51, -3, 0, -4, 54 in ascending order. -4, -3, 0, 51, 54 Put -5, 1/32, -2, 3, 0, -1/3 in decreasing order. 3, 1/32, 0, -1/3, -2, -5 Put 0.08, 3, 5, 199/6 in decreasing order. 199/6, 5, 3, 0.08 Put -1310, -5/2, 22, 6/5, 3/2 in descending order. 22, 3/2, 6/5, -5/2, -1310 Sort -15/8, -1/41, 2/37. -15/8, -1/41, 2/37 Sort -0.4, -3, -2/23, 9, 0.0025 in ascending order. -3, -0.4, -2/23, 0.0025, 9 Sort 1, 4/9, 3, -685 in descending order. 3, 1, 4/9, -685 Put 8, -26, -2, -175 in increasing order. -175, -26, -2, 8 Sort 3/4, 841, 1.9, 3 in increasing order. 3/4, 1.9, 3, 841 Put 3, -3976, 0.5 in increasing order. -3976, 0.5, 3 Sort -18, 5422, 2/17, 0.1 in decreasing order. 5422, 2/17, 0.1, -18 Sort 0, 65, -13, -5 in ascending order. -13, -5, 0, 65 Sort 339, -6/7, -0.1, -9, -4, 2/17. -9, -4, -6/7, -0.1, 2/17, 339 Sort -2, 3995, 3 in descending order. 3995, 3, -2 Put -4, 1109, -1, 3, -5 in ascending order. -5, -4, -1, 3, 1109 Put 2/7, -6, 428, 0.4, -1, 1/3 in increasing order. -6, -1, 2/7, 1/3, 0.4, 428 Put -1, 41, -4, 1257, -5, 5 in increasing order. -5, -4, -1, 5, 41, 1257 Put 32.15, -3/8, -1/5, 4, 9 in descending order. 32.15, 9, 4, -1/5, -3/8 Put -5, 42032, 4 in descending order. 42032, 4, -5 Sort -7, 4/9, -4, -78, 1/2 in ascending order. -78, -7, -4, 4/9, 1/2 Sort 6, -3, 1/4, 5, 8/7 in increasing order. -3, 1/4, 8/7, 5, 6 Sort 13, 8, 1930 in ascending order. 8, 13, 1930 Sort -4, -10, -537, 3 in decreasing order. 3, -4, -10, -537 Sort -0.1, 92, -242. -242, -0.1, 92 Put 2, -5, -4, 0, -29, 124 in decreasing order. 124, 2, 0, -4, -5, -29 Put 0.2, -6/191, -0.1, 5, 14, -5 in increasing order. -5, -0.1, -6/191, 0.2, 5, 14 Put -12/83087, -5, -2/9 in increasing order. -5, -2/9, -12/83087 Put 2/7, 47, 43, -48 in decreasing order. 47, 43, 2/7, -48 Sort -3, -1227, -18 in ascending order. -1227, -18, -3 Put 6734, -1.2, -4/5 in descending order. 6734, -4/5, -1.2 Sort 14, 106, 8, 4 in descending order. 106, 14, 8, 4 Put -0.1, -0.5, 19, -0.15, 1 in ascending order. -0.5, -0.15, -0.1, 1, 19 Sort -8860, -0.4, -0.1. -8860, -0.4, -0.1 Sort -3/8, 1/5, -2/17, 25124 in increasing order. -3/8, -2/17, 1/5, 25124 Put 2, 434, 114, -5, 1/6 in increasing order. -5, 1/6, 2, 114, 434 Sort 2, 3, 5, -2195, -2/15 in increasing order. -2195, -2/15, 2, 3, 5 Put -1/3, 0.2, -3893, -2, 0 in descending order. 0.2, 0, -1/3, -2, -3893 Sort 0.14, -16, -4/359, -2, -5 in ascending order. -16, -5, -2, -4/359, 0.14 Sort 5, 44, 0, 3, 2/23. 0, 2/23, 3, 5, 44 Sort 295, -6, -3, -9, -5 in decreasing order. 295, -3, -5, -6, -9 Sort -3, 177632, -1 in decreasing order. 177632, -1, -3 Put 145, -2, -12, -10, 5 in decreasing order. 145, 5, -2, -10, -12 Put -219441, 6, -5 in descending order. 6, -5, -219441 Put -5, 2/9, 28, -47, 3, -3/8 in increasing order. -47, -5, -3/8, 2/9, 3, 28 Sort -2/149, 0.5, -4, -1, 1 in decreasing order. 1, 0.5, -2/149, -1, -4 Put -0.8, -3, 5, 20, 0 in descending order. 20, 5, 0, -0.8, -3 Put 1/3, -4.6, 72, 1/2, 0 in decreasing order. 72, 1/2, 1/3, 0, -4.6 Sort 2, 801, 7. 2, 7, 801 Sort 0.1, 0, 62, 2/9, 3 in decreasing order. 62, 3, 2/9, 0.1, 0 Sort -1, 19, 4, 176. -1, 4, 19, 176 Put 0.2, -3/7, -1370, 11, 4, 3 in descending order. 11, 4, 3, 0.2, -3/7, -1370 Sort 17, 1/571, 4. 1/571, 4, 17 Sort -2, -7241, -9 in descending order. -2, -9, -7241 Put 419, -1/5, 1/10, 0.2 in descending order. 419, 0.2, 1/10, -1/5 Sort 13074, 11, -3. -3, 11, 13074 Sort 10, 2, -4, -3, 0. -4, -3, 0, 2, 10 Sort 4/7, -16, -3, -5/2, 2, 0.02 in descending order. 2, 4/7, 0.02, -5/2, -3, -16 Sort -6, 1, 1761, -3, -2 in ascending order. -6, -3, -2, 1, 1761 Sort 4, 2, 90, 0, -1, 3 in increasing order. -1, 0, 2, 3, 4, 90 Sort 0, 4, 5, -205, -4, 1 in descending order. 5, 4, 1, 0, -4, -205 Sort 1/71, 0.1, 5/9 in increasing order. 1/71, 0.1, 5/9 Sort -850, 3, 1, -1, -3, -29. -850, -29, -3, -1, 1, 3 Put -6, 49, -2, -85 in decreasing order. 49, -2, -6, -85 Sort 3/25, 4, -3, -1/5, 0.76 in increasing order. -3, -1/5, 3/25, 0.76, 4 Sort 44, -2, 1/2, 0.0634 in ascending order. -2, 0.0634, 1/2, 44 Sort 0, -48, -6, -4, -7, 7. -48, -7, -6, -4, 0, 7 Sort
{ "pile_set_name": "DM Mathematics" }
-1/5)/w**(2/7))/(w*(w**(2/3)/w)/w*(w/(w**(-6)/w)*w)/w*w/(w*(w/(w*w/w**(-5)))/w)*w*(w*w**(-2/11))/w) assuming w is positive. w**(-150263/9240) Simplify (t**(-2/3)*t**(-6)*t)**29*(t*t**(-2/9)*t*(((t*t*t**0/t*t)/t)/t)/t*t)**(2/61) assuming t is positive. t**(-90187/549) Simplify (n**(-6)*n**(1/4))**(-3/11)/(n**(3/7)/((n*n**(-6))/n)*n**(2/13)/(n*(n**(-2/3)*n*n)/n)) assuming n is positive. n**(-44215/12012) Simplify ((v/((v/v**(-4/5))/v)*v*v)/v**(-5/2))**21/((v**0)**(15/4)/(((v/((v*((v/v**(-1))/v)/v)/v)*v)/v)/v)**(10/3)) assuming v is positive. v**(987/10) Simplify ((q**27/q*q**(-6/13))/(q*q**(-20/3)*q*q**(-7)*q))**(-4/5) assuming q is positive. q**(-5648/195) Simplify (g**(-4/7)*(g/g**(1/2))/g*(g/g**(-2/9))/g**5)/(((g/(g*g**(-3)*g))/g**5)/(g**(1/3))**(-8/9)) assuming g is positive. g**(-811/378) Simplify ((i**(1/4))**(-30)*(i/(i*i**0))**10)/(i**(6/11)/(i/(i*i**(6/5)*i))*(i/i**(-2/7))/(i/(i*i**(-1/4))*i)) assuming i is positive. i**(-15833/1540) Simplify (a**14/a*a)**22/(a**7*a*a**(-2)/a) assuming a is positive. a**303 Simplify ((((r*r**23)/r)/((r*r**(-15))/r))/(r**(1/5))**(-46))**(-3/5) assuming r is positive. r**(-708/25) Simplify (u**(-1/4)*u**(-2/9))**(-2/73)/(((u/(u/(u*u**3))*u)/u)/u*u**(-2/5))**3 assuming u is positive. u**(-51161/6570) Simplify ((n**(-2/3)/(n**(2/9)/n*n))/(n/(n**(-2/5)/n)*n)**21)/(n/(((n**0/n*n)/n)/n)*(n*n*n**8)/n*n**9/n**(4/5)) assuming n is positive. n**(-4162/45) Simplify ((a/a**1)**(-15))**(-11)/(a**6*a**(-1/3))**23 assuming a is positive. a**(-391/3) Simplify (u**(-3/2)*((u**1*u)/u)/u)**5*(u*u/(u/(u*u**0/u))*u)/(u/u**(-3))*(u**0)**41 assuming u is positive. u**(-19/2) Simplify (r/r**(-2))**16/(r**1)**(12/7)*(r**(-2))**(-6)*r**(-1/4)/((r*(r/r**3)/r)/r*r) assuming r is positive. r**(1681/28) Simplify (x**(-6)/((x*x*x/((x/x**7)/x)*x*x*x)/x*x))/(x*x/x**(-1))**(-43)*(x**(-1/6)*x)/((x*x**(-3/8)/x)/x)*(x**(2/5)/x)**23 assuming x is positive. x**(11809/120) Simplify (((p**(1/6)*p*p/(p*p**(2/3)))/(((p*(p/(p*p/(p*p**1)))/p*p)/p)/(p*p**(-5))))**(3/2))**15 assuming p is positive. p**(-405/4) Simplify ((q**(-1/2)/(q**(2/73)*q))/(q*q**13)**(-1/42))**(-23) assuming q is positive. q**(12029/438) Simplify ((x*x**(2/9)/x*x*x*x)**(1/8))**(-7/5)/((x*x/(x/(x/(x/(x/((x**(-3/4)/x)/x))))))/x**5)**19 assuming x is positive. x**(1507/360) Simplify (((u**1)**10/(u*u**6*u**(1/3)/u))**(-2/27))**(-3/5) assuming u is positive. u**(22/135) Simplify (y/((y*y/(y**7/y)*y)/y)*y*y**(-5)*y*y)/((y*y**(-2)*y)/((y/y**1)/y))*(y**1)**11*y*y**(2/21)*y*y/((y**4/y)/y) assuming y is positive. y**(296/21) Simplify ((n**23*n*n**23*n)/(n*n/n**(-9)*n*n**15))**15 assuming n is positive. n**315 Simplify ((y**(1/2)*y*y)**(-17)*((y*(y*y**0)/y*y)/y)**(2/45))/((y*y*y/(y**(-9)/y*y*y))/y**(-2/23))**25 assuming y is positive. y**(-661633/2070) Simplify ((m**(-2/7))**33*(m*m**(-1/11)*m)/m**5)**(-1) assuming m is positive. m**(964/77) Simplify ((r**0/r**(-8))/(r**(-2/5))**19)**(3/7) assuming r is positive. r**(234/35) Simplify (k**(-35)*k**(-8/5)/k*k)/(k*k**(2/43))**(-13) assuming k is positive. k**(-4944/215) Simplify (u**(-3/8)/(u/u**3))**0*(u**(-4)*u**5)/(u**1*u*((u*u**5/u*u)/u)/u) assuming u is positive. u**(-5) Simplify (p*p**(-1/4)/p*p**(-1/24)*p*p**(10/11)*p*p*(p*p*(p/p**35*p)/p*p)/p*p)**(1/35) assuming p is positive. p**(-7229/9240) Simplify (j*j**(2/13))/j*j/(((j/(j/(j**(-4/5)*j*j)))/j)/j)*j*j/(j**(5/3)*j)*j*j*j*j**(6/11)/j*((j*j**9)/j*j**12)**25 assuming j is positive. j**(1134346/2145) Simplify ((g*g**2/g*g)/((g/(g*g**7)*g)/g))**(34/3)/((g*g**1)**(-2/5)/(g**(3/7)/g**4)) assuming g is positive. g**(11609/105) Simplify (((u/(u*u/(u/(u**4*u)))*u**0/u)/(u**8/u*u**4))**24)**(2/19) assuming u is positive. u**(-816/19) Simplify ((j*(j**8*j)/j)**(-4/21)*(j**(2/31)*j)**(-9))**(2/69) assuming j is positive. j**(-1634/4991) Simplify (t**(-5/6)*t**(2/5)*(t/(t*t/(t/(t/(t**0*t)))))**(-31))/((t**(-2/3)/t)**(-1/12)/(t**1*t*t**(4/3))) assuming t is positive. t**(497/180) Simplify ((t*t**3)**(-2/39))**11/(t*t**(-2)*t*t*t**5/t)**(5/7) assuming t is positive. t**(-1591/273) Simplify (((((j/j**(4/5))/j)/j*j)/(j**5/j))/(j**(-1/5)*j**(-2/23)/j))/((j**(-1/2))**(-1/77)/(j**(6/7)/((j*j/j**(2/15))/j))) assuming j is positive. j**(-187499/53130) Simplify ((q*q*q/(q**(3/10)*q))**(-29/5)*((q*q*q/(q/(q/(q/(q/q**(-3/4))))))/q)**(-10/13))**(-24) assuming q is positive. q**(93408/325) Simplify (((o*((((o/(o*o**3))/o*o)/o*o)/o)/o)/(o/(o**(-5)*o)))/(o**(1/5)/(o**(-1/2)*o)))/(o**(-7/3)*o**5/o*(o*o*o**(-2/5)*o)**(-4/3)) assuming o is positive. o**(-69/10) Simplify (((f/f**14*f**(3/11)/f*f)**(-47))**(4/17))**(-10/17) assuming f is positive. f**(-263200/3179) Simplify ((((h**(-3/2)*h*h*h*h)/h*h**(1/6)*h)/(h**(2/7))**(-2/21))**32)**(1/11) assuming h is positive. h**(384/49) Simplify ((b**(-1/3)*b**(-1/2))/((b*b**(1/5)/b)/(b**(1/13)*b)))/(((b**(-6)/b)/(b**(2/3)/b))/(b/(b/b**(3/4))*b**(-5)*b)) assuming b is positive. b**(2699/780) Simplify (s/(s*s*s**(1/2)/s*s))**49*(s/((s/(s*s/s**(1/2)))/s))**(8/9)*(s**(-1))**3/(s**(-2))**(37/5) assuming s is positive. s**(-5353/90) Simplify (s**(-1/3)/((s**1*s)/s)*(((s*s**6)/s)/s)/s**(-3/4))/((s**(1/8)/s)/(s**(-3)/s))**(3/32) assuming s is positive. s**(3167/768) Simplify (x**(-4/3)/x*x**(2/9)*x**(-7/3)/(x*x/(x/(x**(-2/23)/x))*x))**(-13) assuming x is positive. x**(14417/207) Simplify ((n**(-4/11)/n)/(n**(2/9)/n*n))/((n/(n/(n/(n*n/(n*(n**(-1)/n)/n)*n)))*n)/n**7)*n**4*n**(-3)*(n/((n/n**(-5/4))/n*n))/n**(4/11) assuming n is positive. n**(3089/396) Simplify (j*j*j*j**(-3/2)*j*j*j**10)**(-4)/((j/j**11)/((j/j**(4/7))/j*j))**(8/5) assuming j is positive. j**(-1306/35) Simplify (((w**1/w)/w)**(3/8)/(w*w*w**14*w/(w/(w*w*w/(w/(w*w/(w*w**(-2/5)/w)*w*w)))*w)))**(-11) assuming w is positive. w**(9581/40) Simplify (h**(1/6)*(h**7/h*h)/h)**(7/2)*((h*h**(4/7))/h*h)/(h*h*h**2)*(h**(1/2))**5 assuming h is positive. h**(1819/84) Simplify ((((s*s*s**17)/s)/s)/s**(-32))/(s*s**20*s)**(13/2) assuming s is positive. s**(-94) Simplify ((o/(o*o**(-22))*o**(-3)*o)/((o/o**(7/2)*o)/o**(-2/29)))**(-18/7) assuming o is positive. o**(-11187/203) Simplify (p**0/p*p)**(-1/24)/(p**(1/13)/(p/(p/(p**7*p*p))))*(p*p*p/p**(-9))/p**3*(p/(p*p*p*p**(-1/3)))**40 assuming p is positive. p**(-1901/39) Simplify ((l**(-2/9))**(-48))**(3/35)/(l**11*l*l**(5/8))**(-4/5) assuming l is positive. l**(771/70) Simplify ((i*i**(-3/22))**16/(i**14)**(1/45))**(-9/4) assuming i is positive. i**(-3343/110) Simplify ((((u**(-4))**36)**(-2))**(1/5))**(-25/2) assuming u is positive. u**(-720) Simplify a**7*(a/a**(-9))/a*a*a*a/(a*a/a**(-1/3))*a**(-3/2)*(a**3/(a/(a**7*a)))/(a/(a*a**(3/2))*a*a**5) assuming a is positive. a**(62/3) Simplify (q**(1/7)*q**10*q*(q/(q*q**(-2/29)))**(-7))**31 assuming q is positive. q**(67084/203) Simplify ((g/(g*g**(-4/3)*g)*(g*g**19)/g)/(g/(g/g**(-3/10))*g**(-14/5)))**0 assuming g is positive. 1 Simplify (b**(-1)/b*b*b**5)/(b/b**2*b*b)**(-3/31)*b**2/b*b**(-2/11)*(b**(1/3))**(6/23) assuming b is positive. b**(39230/7843) Simplify (s**(-15))**(3/8)/(s**(-34/7)*s*s/(s**17*s)) assuming s is positive. s**(853/56) Simplify ((((s/s**(2/41))/s)/s**(-4/3))/(s**15/s*s/(s/(s/s**(-1/12)))*s*s))**17 assuming s is positive. s**(-44047/164) Simplify (((c**(-6)*c)/c*c/(c/(c/(c*c**0)))*c*c*c*c)/(c/(c*c**(-1))*c*c**(-4)*c*c))/((c*c**2)**(14/3))**(-1/10) assuming c is positive. c**(-3/5) Simplify ((j/j**(-8))**(-1/6)/(j/(j*j**7))**(-5))**(-1/20) assuming j is positive. j**(73/40) Simplify (g/g**7*g/(g**8*g*g)*g**4*g**(2/17)*g*g)/(((g**(-7)*g*g)/g**(-3))/(g**1*g)**(10/7)) assuming g is positive. g**(-479/119) Simplify (r**(2/7)/r*r*r)**45*r*r*r**(-3/4)*r/(r*r**(-9))*r*r*r*((r*r**(-2/15))/r**6)/(r*r**(-7)*r*r**(-2/3)) assuming r is positive. r**(30089/420) Simplify (o*o**(6/5)*o**(1/4))**(-31)/((o*o/(((o/(o/o**2))/o)/o))**(-36)*(o/(o/o**(-2/5)))/(o/(o/(o/(o**(-2/3)*o))*o))) assuming o is positive. o**(-233/60) Simplify ((h**(-2/15)/h)/(h/h**0))**41*(h**(-2/11)/(h/(h/(h**(-2)*h))))**13 assuming h is positive. h**(-12677/165) Simplify (((d/d**(-1))/d)/d)**21/(d**7*d**(-1))*(d**(-2)/(d/d**(-3)))/(d*(d**1*d)/d)**(-7) assuming d is positive. d**2 Simplify (((j**(-8/11)*j)/j*j**(3/8))/((j**(-6)*j)/j*j**18))**24 assuming j is positive. j**(-3261/11) Simplify ((((h/h**(3/5))/h**(-5))/(h**(-6)*h**(-1/5)))**(-7))**(-1/24) assuming h is p
{ "pile_set_name": "DM Mathematics" }
2*x**2 Collect the terms in 2*p - 6*p + 4*p - 15720*p**2 + 10607*p**2. -5113*p**2 Collect the terms in -1547548 + 1547548 - 26*j. -26*j Collect the terms in -28797*w**2 - 13094*w**2 - 12893*w**2. -54784*w**2 Collect the terms in -259487*g**3 - 259492*g**3 - 259496*g**3 + 778477*g**3. 2*g**3 Collect the terms in -716951*c + 361851*c + 355098*c. -2*c Collect the terms in 121163*j - 91598*j + 266253*j + 151238*j. 447056*j Collect the terms in -57071*c**2 - 57286*c**2 + 114343*c**2. -14*c**2 Collect the terms in 6975204*i**2 - 3487787*i**2 - 3487419*i**2. -2*i**2 Collect the terms in -8273*u + 25639*u - 8352*u - 8728*u. 286*u Collect the terms in 535*f**3 - 236*f**3 - 210*f**3 - 85*f**3. 4*f**3 Collect the terms in -f + 52611 + 41256 + 10735 + 5094. -f + 109696 Collect the terms in -568512*y + 3415*y**3 + 568512*y. 3415*y**3 Collect the terms in 12 - 3 - 9 + 93*r + 249*r + 99*r. 441*r Collect the terms in 1059*s + 1063*s + 1064*s + 1062*s - 6372*s + 1074*s + 1061*s. 11*s Collect the terms in -956*y + 5899*y**3 - 27110*y**3 + 457*y + 499*y. -21211*y**3 Collect the terms in -29283*z + 19796*z - 2895*z - 69924*z. -82306*z Collect the terms in 0 + 0 - 39082979*r**2. -39082979*r**2 Collect the terms in 7130*q**3 - 21722*q**3 + 7234*q**3 + 7247*q**3. -111*q**3 Collect the terms in -6 + 0 + 10143*f + 9965*f - 30172*f + 1 + 5 + 10062*f. -2*f Collect the terms in 92267*h**2 - 151 - 92266*h**2 + 426 - 275. h**2 Collect the terms in 8073 - 8073 - 724*l + l**3. l**3 - 724*l Collect the terms in 183*q + 178*q - 2139*q + 1586*q + 183*q. -9*q Collect the terms in 305182719*k**2 + 3*k**3 - 305182719*k**2 - 17*k. 3*k**3 - 17*k Collect the terms in 5406*x**2 - 2682*x**2 + 27 - 23 - 2702*x**2. 22*x**2 + 4 Collect the terms in 38*z**3 - 53*z**3 - 40*z**3 - 48*z**3 - 13*z**3. -116*z**3 Collect the terms in -557603 + 799*r**2 + 557603. 799*r**2 Collect the terms in -1246*t - 1385*t + 2631*t + 499*t**2. 499*t**2 Collect the terms in 5*v + 7016 - 1753 + 116*v - 1750 - 1755 - 1757. 121*v + 1 Collect the terms in 44 + 8 - 10*t + 26*t - 52. 16*t Collect the terms in 70978 + 3093*k - 70978 + 1196*k + 740*k. 5029*k Collect the terms in -751*x**2 + 71*x**2 - 225*x**2 - 569*x**2. -1474*x**2 Collect the terms in -5518*f - 428 + 2762*f + 2*f**2 + 2762*f. 2*f**2 + 6*f - 428 Collect the terms in -1258*v**2 - 1247*v**2 - 1266*v**2 + 3735*v**2. -36*v**2 Collect the terms in -304848*a - 207858*a + 64974*a. -447732*a Collect the terms in -21435322*c - 18156079*c - 32989313*c. -72580714*c Collect the terms in 8 + 761*m**3 + 1069*m**3 - 8. 1830*m**3 Collect the terms in 7513589*l + 6 - 6. 7513589*l Collect the terms in 5 + 5 + 796*k**2 - 22 + 10 - 2*k**3 + 3114*k**2. -2*k**3 + 3910*k**2 - 2 Collect the terms in 87*g**2 + 15*g**2 + 23*g**2 - 119*g**2 + 168*g**2. 174*g**2 Collect the terms in r**3 + r**3 - 12066 - 29*r + 6*r**3 + 29*r. 8*r**3 - 12066 Collect the terms in 4937*r + 2 - 71*r**2 + 2 - 8*r**2 - 9862*r + 4925*r. -79*r**2 + 4 Collect the terms in -370*b**3 + 382950632*b**2 - 382950632*b**2. -370*b**3 Collect the terms in 38020 + 25880 - 101922 - a + 38022. -a Collect the terms in 57 - 125134*u - 57. -125134*u Collect the terms in 6908*y + 5064*y - 26*y**2 - 11972*y. -26*y**2 Collect the terms in 12882*d + d**3 - 6369*d - 6513*d. d**3 Collect the terms in -133822 + 133822 + 15861*f + f**2. f**2 + 15861*f Collect the terms in -12 + 12 + 10562534*u**2. 10562534*u**2 Collect the terms in 681*q + 730*q + 673*q - 4127*q + 674*q + 683*q + 682*q. -4*q Collect the terms in -3 - 8997*f - 66580*f + 3. -75577*f Collect the terms in -6 - 1 - 80 + 29 - 109*j + 17. -109*j - 41 Collect the terms in -32*g + 419*g + 290*g - 4*g - 116*g. 557*g Collect the terms in 115779*l**2 + 66118*l**2 - 2 + 2. 181897*l**2 Collect the terms in 17*p**3 - 8*p - 44*p**3 - 14*p - 6*p**2. -27*p**3 - 6*p**2 - 22*p Collect the terms in -2*m**2 + 2249*m - 2249*m + m**3 - 57685. m**3 - 2*m**2 - 57685 Collect the terms in 22 - 245*k + 79*k + 89*k. -77*k + 22 Collect the terms in 5149*v - 28 + 3061*v + 26 + 7007*v. 15217*v - 2 Collect the terms in 47*f**2 - 41236202709312*f + 41236202709312*f. 47*f**2 Collect the terms in -5955*i - 5939*i - 5938*i + 23774*i - 5945*i. -3*i Collect the terms in 3*o - 683*o**2 + 5*o - 3*o - 937*o**2. -1620*o**2 + 5*o Collect the terms in 482*o - 2*o**2 - 27 - 30 + 56 + 13*o**2 - 10*o**2. o**2 + 482*o - 1 Collect the terms in 1237 + 0*n + n + 1197 - 801. n + 1633 Collect the terms in -4016379*a**2 + 1338795*a**2 + 1338786*a**2 + 1338803*a**2. 5*a**2 Collect the terms in 804 + 187759*d**2 - 804. 187759*d**2 Collect the terms in q**2 - 59277824*q + 59277814*q - 1 + 1. q**2 - 10*q Collect the terms in -54*w**2 + 24*w**2 + 1891 + 34*w**2. 4*w**2 + 1891 Collect the terms in 153 + 51 + 1411*i - 206. 1411*i - 2 Collect the terms in 45*p - 410 - 372 - 411 + 1598 - 405. 45*p Collect the terms in -1591*q - 42*q + 561*q**2 - 1 + 1 - 556*q**2. 5*q**2 - 1633*q Collect the terms in 3313*t**2 - 3 + 82*t + 5 - 1 + 1. 3313*t**2 + 82*t + 2 Collect the terms in -26*p + 882*p - 10 + 395*p + 442*p - 3406*p. -1713*p - 10 Collect the terms in -19291*l**2 + 19291*l**2 - 120*l**3. -120*l**3 Collect the terms in -3207 + 12806 - 3210 - 3208 - 3181 + 2*w**3. 2*w**3 Collect the terms in -1654*c + 2422 - 1702*c + 3359*c. 3*c + 2422 Collect the terms in 607*v + 62413 - 33*v - 62413 + 1148*v. 1722*v Collect the terms in 2*o**3 + 10*o + 12*o - 22*o**2 - 8*o**2 - 35*o + 12*o + 167. 2*o**3 - 30*o**2 - o + 167 Collect the terms in 415*h - 567*h**3 - 1276*h + 429*h + 432*h. -567*h**3 Collect the terms in 780004 - 780004 - 183*t. -183*t Collect the terms in 9 - 22 - 5512*r + 13 + 6135*r. 623*r Collect the terms in 419*a**3 - 2056*a**3 + 418*a**3 + 378*a**3 + 420*a**3 + 424*a**3. 3*a**3 Collect the terms in 14 - 7951*f - 10 - 6962*f + 5227*f. -9686*f + 4 Collect the terms in -3858*t**2 + 88*t**2 - 7659*t**2 + 610*t**2. -10819*t**2 Collect the terms in -2589*h - 1372*h + 1218*h. -2743*h Collect the terms in -28367*f + 93032*f + 37055*f + 5663*f + 29781*f. 137164*f Collect the terms in 37*i + 36*i + 63 - 74*i - 51. -i + 12 Collect the terms in 129*m + 32 + 61 + 30*m - 78*m + 218*m. 299*m + 93 Collect the terms in -20*d - d**2 - 16*d - 31 + 17 - 14*d. -d**2 - 50*d - 14 Collect the terms in 5691*s**3 - 9402*s**3 + 3710*s**3. -s**3 Collect the terms in 49 - 16 - 17 - 16 + 417*h**2 - 136*h**2. 281*h**2 Collect the terms in 55 - 6474*b + 48 - 41. -6474*b + 62 Collect the terms in 8 - 8 + 362248*g - 362248*g + 3597*g**2. 3597*g**2 Collect the terms in -26729*d**2 + 53408*d**2 - 26719*d**2. -40*d**2 Collect the terms in 73*q - 485*q**2 + 221*q**2 - 62*q + 222*q**2. -42*q**2 + 11*q Collect the terms in -255*n**2 - 1801*n + 1801*n + 110*n**2. -145*n**2 Collect the terms in 1121 - 501974*v - 1121. -501974*v Collect the terms in 93*a + 107*a - 250*a + 49*a. -a Collect the terms in 3 - 3 - 22232*v - 25879*v + 43279*v. -4832*v Collect the terms in 4715*d**2 - 2647*d**2 + 3812*d**2 + 4877*d**2. 10757*d**2 Collect the terms in 86*n - 34*n + 187 + 49*n - 185. 101*n + 2 Collect the terms in -101180192005*x + 101180192005*x + 55*x**2 - 317*x**2. -262*x**2 Collect the terms in -1 - 11 - 1 + 337*q - 2 + 369*q - 705*q. q - 15 Collect the terms in 446*x**3 - 99*x + 114*x - 15*x - 916*x**3 + 464*x**3. -6*x**3 Collect the terms in 68*r + 55*r - 164*r + 62*r - 129*r**2 + 44*r**2. -85*r**2 + 21*r Collect the terms in 40 - 7*h + 37 + 4*h + 84 - 161. -3*h Collect the terms in -2 - 2*d - 4603*d**2 + 2 + 2*d + 4292*d**2. -311*d**2 Collect the terms in -86*w + 4 - 15*w + 198*w - 59*w. 38*w + 4 Collect the terms in -u**2 - 19*u + 2726 + 39*u - 19*u. -u**2 + u + 2726 Collect the terms in 4 - 3 + 901*l - 2 + 14*l**2. 14*l**2 + 901*l - 1 Collect the terms in -2744*j + 4135*j + 9772*j + 15455*j. 26618*j Collect the terms in 910*d - 23959*d**2 + 1354*d**2 - 910*d. -22605*d**2 Collect the terms in 430 + 439 - 1312 + 503*f + 443. 503*f Collect the terms in 222*i - 216*i - 812 - 34*i**2 + 811. -34*i**2 + 6*i - 1 Collect the terms in 347*q + 345*q + 342*q - 2048*q + 342*q + 343*q + 339*q. 10*q Collect the terms in 2316 - 163*a**2 - 137*a**2 - 1158 - 1159. -300*a**2 - 1 Collect the terms in 356*r**2 - r + 46*r**2 - 525*r**2 + 55*r**2 + 42*r**2. -26*r**2 - r Collect the
{ "pile_set_name": "DM Mathematics" }
(-1)/(5/(-6) + 1). Find the common denominator of ((-39)/(-12))/((-3)/q) and t. 10 Let z = -65 + 101. What is the lowest common multiple of z and 22? 396 Let f = -11 - -15. Find the common denominator of -69/8 and 282/(-90)*(-3)/f. 40 Suppose -h + 0*h + 67 = 4*d, 4*d - 92 = 4*h. What is the least common multiple of d and 84? 252 Suppose -3*x = -2*x - 1. Suppose 2*b + 4 = -2. Let v = b - -4. Calculate the lowest common multiple of x and v. 1 Let o = 616926/5 + -246150059/1995. Let l = o + -8/57. Find the common denominator of 25/4 and l. 28 Let m be 1 - 6/(1 - -1). Calculate the smallest common multiple of (0 + -4)*14/(-4) and 10/1 + 0/m. 70 Let p(j) = -j**3 + 12*j**2 + 4*j - 27. Calculate the smallest common multiple of 4 and p(12). 84 Let y = 273/5 + -1723/30. Let c = 699/34 + -3919/153. Calculate the common denominator of y and c. 18 Let q(p) = -p - 3. Calculate the smallest common multiple of 10 and q(-7). 20 Let s(x) = -3*x + 0*x**2 + 0 - 2 - 2 + 2*x**2. Calculate the lowest common multiple of s(3) and 7. 35 Suppose 5*t = -3*p + 545, t = 3*t - 2*p - 234. Calculate the smallest common multiple of t and 20. 560 Let s = 224/261 - 12/29. Let r = 8741281/4 + -469838156/215. Let c = 1/860 - r. What is the common denominator of s and c? 18 Let q = 617 + -4909/8. Let l be (3764/(-6))/((-32)/(-102)). Let z = l - -1996. Find the common denominator of z and q. 8 Let w = 7887 + -157653/20. Calculate the common denominator of 11/6 and w. 60 Let p = -3168 + 22221/7. What is the common denominator of p and ((-46)/(-35))/(1/5)? 7 Let l = 18 + -17. What is the least common multiple of 10 and l*-1 - 21/(-1)? 20 What is the common denominator of (0 - (-282)/(-4))*(-4)/48 and -46/11? 88 Let y = -54/13 + 315/104. Let v = 668755/24 + -27847. Let h = y + v. Find the common denominator of h and 47/6. 6 Suppose 2*q = 3*p + 2*p + 18, 0 = 4*q + 2*p + 12. Let y(w) = -7*w. What is the lowest common multiple of ((-1)/3)/((33/18)/(-11)) and y(q)? 14 Let m = 22201/6 + -3712. Let h = -1/18169 + 1689733/290704. Find the common denominator of m and h. 48 Let s = 12 + -4. Suppose 0*g - 3*c = -4*g - 4, -3*g = -c + s. What is the common denominator of 73/8 and 582/(-4)*g/48? 8 Suppose 5*b = 8*b - 66. Calculate the lowest common multiple of 18 and b. 198 Suppose 0 + 21 = a. Suppose -3 = -3*h + a. Calculate the least common multiple of h and (-57)/(-12) - (-2)/8. 40 Suppose 61 = 4*s + 5. Let q = -28 - -31. What is the smallest common multiple of s and q? 42 Let r = 13 + -16. Find the common denominator of ((-85)/35)/(1/r) and 16/3. 21 Suppose 5*a - 2*d = a, -5*a - 2*d = 0. Suppose 2*n - n + 9 = a. Calculate the common denominator of 24/n*(-1)/12 and -17/5. 45 Suppose 3*r + 1 - 7 = 0. Find the common denominator of 1*(-2)/(-4) - r and (-99)/(-20) + (-12)/20. 20 Let l(c) = -2*c - c**2 - 2*c + c. Let s be l(-6). What is the common denominator of -29/8 and 2/(-6)*(-3)/s? 72 Let r = -3944/5 + 780. Let v = 889/33 - 80/3. Find the common denominator of v and r. 55 Find the common denominator of 18/(-81) + 406/(-36) and -37/16. 16 Let d(n) be the first derivative of n**3 - n**2/2 - n + 1. What is the smallest common multiple of d(-1) and 6? 6 Calculate the common denominator of 113/70 and 485/(-30) - 5/15. 70 Suppose -5*t - 1 = -4*h - 11, -t = 3*h - 21. Calculate the smallest common multiple of 10 and t. 30 Suppose 3*n - 2*l + 3*l = 107, 0 = 5*n + 3*l - 177. Calculate the lowest common multiple of n and 8. 72 Let x = 1217 - 288. Let y = x - 3683/4. What is the common denominator of y and ((-762)/20)/((-1458)/(-405))? 12 Let r = 52601/6 - 8747. What is the common denominator of 1/10 and r? 30 What is the lowest common multiple of 20 and 32 - ((-8)/(-10))/(52/130)? 60 Let d be (-3)/72*51/2. Let s = -719/144 + d. Find the common denominator of s and (1 - 4)*(-30)/28. 126 Suppose 0 = v + 2 - 9. Let a = 13 - v. What is the least common multiple of a and 8? 24 What is the smallest common multiple of 4 and 10/6 - 4/(-12)? 4 Let j(t) = 17*t - 12. What is the smallest common multiple of j(2) and 2? 22 Let j = -4231677161131687/29220 + 144821258102. Let r = j + -1/9740. Find the common denominator of r and 1/14. 42 Suppose -14 = 2*z - 5*z + k, -5*k - 2 = 2*z. Let l be ((-10)/z)/((-5)/10). Let f = l - -17. What is the least common multiple of f and 12? 132 Suppose -2*h - y = 4*y + 28, -2*y = -2*h - 56. Find the common denominator of -47/12 and (-8 - -58)*(-2)/h. 12 Let l(w) = -w + 7. Let s(y) = 5*y**2 - y - 4. Let f(b) = -4*b**2 + 2*b + 3. Let j(c) = -4*f(c) - 3*s(c). What is the smallest common multiple of l(0) and j(6)? 42 Let q = 16 - 6. What is the common denominator of 73/8 and 310/25*q/18? 72 Let o(c) = -c + 3. Let j be o(5). Let s = -1181/2 - -617. What is the common denominator of s and 3*j*12/(-16)? 2 Let j = -2 + 4. Suppose -5*y + 45 + 125 = 0. Let s = y + -24. What is the lowest common multiple of j and s? 10 Let l(p) = 2*p**2 + 18*p + 4. Let t = 28 - 12. Calculate the smallest common multiple of l(-9) and t. 16 Let v(k) = -k + 3. What is the least common multiple of v(-8) and (33/6)/((-1)/(-2))? 11 Let b be ((-118)/4)/((-1)/8). Calculate the common denominator of (-21)/2 - 4/(-4) and ((b/(-8))/(-1))/2. 4 Let d = -12083/5260 + -3/1052. What is the common denominator of (-10)/5 - 118/44 and d? 110 Let v be (-6)/(-10) + (-98)/5. Calculate the common denominator of -19/5 and (v/(-6))/(12/(-16)). 45 Let o = 25 - 46. Find the common denominator of ((-7)/o)/(40/246) and -99/4. 20 Find the common denominator of 71/12 and (7 - 5)*(-29)/(-40). 60 Let w(n) = 4*n**3 - n**2 - 2*n + 1. Let p be w(-2). Let d = p + 3. Calculate the common denominator of (-8)/4 - 162/d and 115/14. 14 Suppose 0 = 5*k - 2*k - 9. Suppose 1 = 4*r - k. Let s = 8 - -1. Calculate the lowest common multiple of s and r. 9 Calculate the smallest common multiple of ((-56)/10)/(8/(-40)) and 12. 84 Suppose 115 = -4*o - 37. Find the common denominator of ((-24)/(-32))/(33/(-60)) and 0 + (0 - o/(-5)). 55 Let d = 5289007/6 + -7896224/9. Let t = d + -4148. Calculate the common denominator of t and 53/4. 36 What is the least common multiple of (2/(-8))/(5/(-20)) and 2? 2 Let b = -1 - 34. Suppose 0 = -k - k + 68. What is the common denominator of k/5*b/40 and -117/20? 20 Suppose 3*z = 9 + 9. Suppose 0*u = 3*u - 24. What is the least common multiple of u and z? 24 Suppose -3*j = 2*m - 18, 3*m + 27 = 5*j - 3. Suppose 0 = 2*q + 8, -4*t + 60 = -5*q. What is the smallest common multiple of t and j? 30 Suppose -6 = 2*g, 3*s - 22 + 1 = -5*g. What is the common denominator of 19/2 and ((-164)/28)/(s/(-14))? 6 Let b = 69/2 - 103/3. Calculate the common denominator of b and -79/20. 60 Suppose 0 = o - 44 + 16. What is the lowest common multiple of 36 and o? 252 Suppose 0*h - 5*h + 80 = 0. Suppose 0*j - 2*j = -h. Calculate the least common multiple of ((-30)/(-21))/(1/7) and j. 40 What is the common denominator of 81/44 and (2 - 60/35) + (-110)/728? 572 Let i(v) = 6*v + 9. What is the common denominator of i(-8) and 3 - (-3 + (-97)/(-11))? 11 Suppose -9*n = -6*n - 36. Calculate the lowest common multiple of n and 4. 12 Let d = -123/55 - -28/5. Let n = 254749/312 - 6596/39. Let p = n - 1309/2. Find the common denominator of d and p. 88 Suppose -14*b = -5 - 9. Let d(v) = -2*v**3 + 3*v**2 - v. Let n be d(2). Find the common denominator of 4/n + (-82)/(-60) and b. 10 Let c = -8588 - -171827/20. What is the common denominator of (-2)/(0 + (-8)/58) and c? 20 Let l(j) = -6*j - 6. Let f = 16 + -9. Let k be l(f). What is the common denominator of 89/12 and ((-135)/k - 0) + 2? 48 Let z be 3/15 + (-252)/(-15). Suppose 0 = -4*d - z + 5. Calculate the common denominator of (d/(-2))/((-2)/6) and 6/7. 14 Suppose 4*w = 4*q - 188, -4*q + 2*q = 2*w - 82. Calculate the least common multiple of q and 12. 132 Suppose 4*h - 4*p - 48 + 4 = 0, -5 = 5*p. Calculate the smallest common multiple of 54 and h. 270 Suppose 12 = -5*y - 23. Let k(m) = -2*m**2 - 2*m - 1. Let z be k(-2). Let x = z - y. What is the least common multiple of 14 and x? 14 Let m = 104251/10 + -10415. Let k = 327/145612 - 4/617. Let n = 1031/354 - k. Find the common denominator of m and n. 60 Let y = -3 + 1. Let j be -5*1*2/y. Suppose j*x + 5*n - 32 = -7, -2*x + 8 = 3*n. Calculate the lowest common mu
{ "pile_set_name": "DM Mathematics" }
Put -4, 21, 0, 375 in decreasing order. 375, 21, 0, -4 Sort 4731, -1, 3, 2 in increasing order. -1, 2, 3, 4731 Put 0.02, 0.3, 10, 5, -0.3, 0.03 in ascending order. -0.3, 0.02, 0.03, 0.3, 5, 10 Put 3, 241, -4, -5, 5 in descending order. 241, 5, 3, -4, -5 Sort 5, 527, -3/5, -7, -19, 0.3. -19, -7, -3/5, 0.3, 5, 527 Sort 11, 1, -17623 in increasing order. -17623, 1, 11 Put -4, 43, 4, 0, -1, -125 in increasing order. -125, -4, -1, 0, 4, 43 Put -0.3, 10771, -2 in decreasing order. 10771, -0.3, -2 Put 1, 9, 13781, 0 in decreasing order. 13781, 9, 1, 0 Sort 6058, 3, 5, -4 in increasing order. -4, 3, 5, 6058 Sort 0, -3, 25, 4, -1115 in decreasing order. 25, 4, 0, -3, -1115 Put 3, 5, -6423 in descending order. 5, 3, -6423 Sort 11.47, 5, -2 in ascending order. -2, 5, 11.47 Sort 29, -2, 2/5, 2/9 in descending order. 29, 2/5, 2/9, -2 Sort -6, -3, 5, 3, 1038. -6, -3, 3, 5, 1038 Sort -34, 3, -1, 0, -68, -3 in ascending order. -68, -34, -3, -1, 0, 3 Put -21, -5, 859, -2, -3, -1 in descending order. 859, -1, -2, -3, -5, -21 Put 0.1, 0.21, -141/4, 3 in ascending order. -141/4, 0.1, 0.21, 3 Sort 11, -5, 134, -1, -4. -5, -4, -1, 11, 134 Put -0.2, -1/36, 0.02, 4/3 in descending order. 4/3, 0.02, -1/36, -0.2 Sort -169, 4, 3, -1, -119 in decreasing order. 4, 3, -1, -119, -169 Put 1, -4, -46, 19 in descending order. 19, 1, -4, -46 Sort 1, 17, 0, -282. -282, 0, 1, 17 Sort 0.01, 89, 0.08 in descending order. 89, 0.08, 0.01 Sort 0, 5, -39, -196 in ascending order. -196, -39, 0, 5 Sort -51, 0, -3, -5, 1. -51, -5, -3, 0, 1 Put 67, 3, -12, 4, -5, 2 in ascending order. -12, -5, 2, 3, 4, 67 Sort 5, -859, -5, 2, -4, -2 in descending order. 5, 2, -2, -4, -5, -859 Sort 3, 2, -1, 0, 274. -1, 0, 2, 3, 274 Put -0.034, -65, 0.2, 12 in ascending order. -65, -0.034, 0.2, 12 Put -6, 966, -0.4 in increasing order. -6, -0.4, 966 Sort 12, 0, 63200. 0, 12, 63200 Put 4, 2855, 5 in increasing order. 4, 5, 2855 Sort -35, 0.1006, 1/3 in decreasing order. 1/3, 0.1006, -35 Put 2, -3, 3, 13 in increasing order. -3, 2, 3, 13 Put -9, 90, -5 in decreasing order. 90, -5, -9 Sort 6, -3, -154, -4/5, 2/37 in descending order. 6, 2/37, -4/5, -3, -154 Sort -14, -3, -126, 24, 5 in increasing order. -126, -14, -3, 5, 24 Put 3, -223, 21, 2/7 in descending order. 21, 3, 2/7, -223 Put -0.084, 0.33, 2/5 in decreasing order. 2/5, 0.33, -0.084 Sort 0.5, 0, -0.1, -73, -1 in ascending order. -73, -1, -0.1, 0, 0.5 Sort -0.2, 13, -0.4, 0.5, -0.3. -0.4, -0.3, -0.2, 0.5, 13 Sort 2, 18, -221, 1 in decreasing order. 18, 2, 1, -221 Put -5, -3, -11, 26, 5, -10 in increasing order. -11, -10, -5, -3, 5, 26 Put 3, 238, 359 in ascending order. 3, 238, 359 Sort -5, -3/10, 6, 214, -2, -1 in decreasing order. 214, 6, -3/10, -1, -2, -5 Put -31, 1, -22, 8, -4 in ascending order. -31, -22, -4, 1, 8 Put 4166, 4, -46 in decreasing order. 4166, 4, -46 Sort 2, -26.2, 41 in ascending order. -26.2, 2, 41 Sort 0, 101, -56. -56, 0, 101 Sort 2/5, -0.2, 1/5, -28, -0.4, -22 in ascending order. -28, -22, -0.4, -0.2, 1/5, 2/5 Sort -2/3, 2/75, 4, -2.5, -1/5, 1. -2.5, -2/3, -1/5, 2/75, 1, 4 Sort -3/4, 1/3, 0.43, -3, 57, 2/23 in decreasing order. 57, 0.43, 1/3, 2/23, -3/4, -3 Sort 0.2, 538/15, -0.2, -1 in decreasing order. 538/15, 0.2, -0.2, -1 Sort -642, 4, 1, -6 in descending order. 4, 1, -6, -642 Put 4, 0.1, -5, 0.5, -2/15, -0.546 in descending order. 4, 0.5, 0.1, -2/15, -0.546, -5 Sort -2, 0, -1660, -5 in descending order. 0, -2, -5, -1660 Put -3, -60, -1991 in decreasing order. -3, -60, -1991 Sort 2/3, -2/7, 3, -3/7, 0.4, -4/5. -4/5, -3/7, -2/7, 0.4, 2/3, 3 Sort 35, 354, 1 in ascending order. 1, 35, 354 Put 3, 39, -64 in increasing order. -64, 3, 39 Put 14, -94, 751 in ascending order. -94, 14, 751 Sort 19/22, -1/3, 4/5, -0.4 in ascending order. -0.4, -1/3, 4/5, 19/22 Sort -2/17, 42/5, -1, -0.3, 3/8. -1, -0.3, -2/17, 3/8, 42/5 Sort -1/8, 5, -7, -2/13, -3, -14 in decreasing order. 5, -1/8, -2/13, -3, -7, -14 Sort -142, -6, 128, 4, -1 in ascending order. -142, -6, -1, 4, 128 Put 4, -62641, 10 in descending order. 10, 4, -62641 Sort 1/4, 4/5, 208218 in ascending order. 1/4, 4/5, 208218 Sort 1, 4, -11, -132. -132, -11, 1, 4 Put -4, -5, 3/37, -8.5 in ascending order. -8.5, -5, -4, 3/37 Put 15, 6, -3, -32, 1, -2 in decreasing order. 15, 6, 1, -2, -3, -32 Sort -1/2, 1.5823, -4 in increasing order. -4, -1/2, 1.5823 Sort 39, -3, -10, 5 in increasing order. -10, -3, 5, 39 Sort -91, -1/8, -4, -20, -4/3 in ascending order. -91, -20, -4, -4/3, -1/8 Sort 4/3, -2/163, -44/5, 3, 4. -44/5, -2/163, 4/3, 3, 4 Sort 0, 17, -48, -4, 37. -48, -4, 0, 17, 37 Sort 3, -1470, -608 in descending order. 3, -608, -1470 Put -4, 244, -5, 3 in descending order. 244, 3, -4, -5 Sort -1/2, -1, 3/5, -1/6, -24, -2 in ascending order. -24, -2, -1, -1/2, -1/6, 3/5 Sort 23/58, 3, -1/126, -3 in decreasing order. 3, 23/58, -1/126, -3 Put -2, -4, -368, 5 in descending order. 5, -2, -4, -368 Sort -2/1991, -4, -7, 5, -12. -12, -7, -4, -2/1991, 5 Sort -4, -1/2, -1/70, 6 in decreasing order. 6, -1/70, -1/2, -4 Sort -51873, 5, 6. -51873, 5, 6 Sort -1, 0, -3, 11, -1275, -0.5 in increasing order. -1275, -3, -1, -0.5, 0, 11 Put 116, 5, -19 in descending order. 116, 5, -19 Sort -56, 4, 0, 1. -56, 0, 1, 4 Put 5, 1, 2, -5, -17, 6 in descending order. 6, 5, 2, 1, -5, -17 Sort 2, 79, 6, -3, 5, 63. -3, 2, 5, 6, 63, 79 Sort 1/3, 2/2971, -1, -3 in descending order. 1/3, 2/2971, -1, -3 Sort 1/10, -0.36, -5.8, 2, -2/5, 3 in ascending order. -5.8, -2/5, -0.36, 1/10, 2, 3 Put 393, 0, 1, 3, 18, -1 in increasing order. -1, 0, 1, 3, 18, 393 Sort 17, 5, -114.38 in descending order. 17, 5, -114.38 Sort 2, 4, 1, -40, -7 in decreasing order. 4, 2, 1, -7, -40 Put 0.3, -5/36, -1/6, 19, -2 in increasing order. -2, -1/6, -5/36, 0.3, 19 Put 1, -12196, 2, -5 in ascending order. -12196, -5, 1, 2 Put 312, 0, -2/17, -8.1, -5 in decreasing order. 312, 0, -2/17, -5, -8.1 Put -3, -1, -523, 4, 6 in descending order. 6, 4, -1, -3, -523 Put -4, -0.05, 31.9, 0.01 in decreasing order. 31.9, 0.01, -0.05, -4 Sort 1, 241, 6, 2 in increasing order. 1, 2, 6, 241 Sort 5, -12, 276 in decreasing order. 276, 5, -12 Sort 0.08, -28.12, 3 in decreasing order. 3, 0.08, -28.12 Sort 91, -0.5, 0.3, -1/3, 1. -0.5, -1/3, 0.3, 1, 91 Put 9, 2900, 2/9, 0.5, 1 in decreasing order. 2900, 9, 1, 0.5, 2/9 Put -1/11, -4/5, 5, -6/373, 0.4 in decreasing order. 5, 0.4, -6/373, -1/11, -4/5 Sort 5, -2, 6, 31, -32 in descending order. 31, 6, 5, -2, -32 Sort -4, 3, -0.1, 2812 in decreasing order. 2812, 3, -0.1, -4 Put -5, -7, 41, 5, -15 in increasing order. -15, -7, -5, 5, 41 Sort 14, -3, 1529, -8. -8, -3, 14, 1529 Sort 218, -25, 1 in decreasing order. 218, 1, -25 Sort -2/7, 13, 4/3, 3, -0.3, 0.5 in decreasing order. 13, 3, 4/3, 0.5, -2/7, -0.3 Sort 30, -6, -2, 4/7, 1/13 in ascending order. -6, -2, 1/13, 4/7, 30 Put 35, 18, -5, -1, 4/3, 0.1 in decreasing order. 35, 18, 4/3, 0.1, -1, -5 Put -7, -1, -3, 2, 220 in decreasing order. 220, 2, -1, -3, -7 Sort 24, 4, -0.1, -2, -9 in decreasing order. 24, 4, -0.1, -2, -9 Put 1112, -271, -5, 0 in ascending order. -271, -5, 0, 1112 Put -9, 2, -1, 93 in increasing order. -9, -1, 2, 93 Put -1, 57, 1675 in ascending order. -1, 57, 1675 Put -1, -193, 17 in descending order. 17, -1, -193 Sort -1/3, -0.4, 0, 5/2, 2/73, -0.1 in ascending order. -0.4, -1/3, -0.1, 0, 2/73, 5/2 Put -5, 0, -1, 2499 in descending order. 2499, 0, -1, -5 Sort -673, -5, 0, 1, 11 in decreasing order. 11, 1, 0, -5, -673 Sort 3783, -11, 2, 0 in decreasing order. 3783, 2, 0, -11 Sort 4, -18, -0.303 in decreasing order. 4, -0.303, -18 Sort 8077, -1/10, -2 in increasing order. -2, -1/10, 8077 Sort 4, 2, 34, -10, -2, -9 in descending order. 34, 4, 2, -2, -9, -10 Sort -2, 2/11, -43, -13, -4, -10 in increasing order. -43, -13, -10, -4, -2, 2/11 Sort 20.2, -26/7, 54 in descending order. 54, 20.2, -26/7 Put -337, 0, -1, 17 in ascending order. -337, -1, 0, 17 Sort 64, -1, 4, 2, 5. -1, 2, 4, 5, 64 Sort 1, 619, -29 in descending order. 619, 1, -29 Put 7, 3, -1, 2, -5, 18 in increasing order. -5, -1, 2, 3, 7, 18 Put 36326, -1, -20, -2 in descending order. 36326, -1, -2, -20 Sort 13, -5, 1, -181 in descending order. 13, 1, -5, -181 Put -27, -2, 1, -10, -25, -4 in increasing order. -27, -25, -10, -4, -2, 1 Put 0.3, 5193.2, 2 in increasing order. 0.3, 2, 5193.2 Put 2/
{ "pile_set_name": "DM Mathematics" }
p be n(35). Suppose 3*q + 9 = 5*h, -p*q + h + 5 = -q. Suppose 3*i - 16 = -4*k, -2*i + k - 4 = -i. Solve -q*g + 1 + 3 = i for g. 2 Let k(c) = -c**3 + 11*c**2 + 44*c - 13. Suppose 6*i - 84 = -0*i. Let g be k(i). Solve -q = -13 + g for q. -2 Let q = -57 + 59. Suppose -q*n = -h + 3*n, 2*h + 2*n = 0. Suppose -43 = -2*o + 5*x, h = x + 6 - 1. Solve -5*r - o = 1 for r. -2 Suppose -17*c - 1200 = -25*c. Let a = c - 135. Solve a = 3*z + 2*z for z. 3 Let n = 1778 - 2579. Let l = 801 + n. Solve -9*f + 16*f + 35 = l for f. -5 Let s = 136 + -66. Let c = 88 - s. Solve -c = 5*p - 28 for p. 2 Let p be 28 + ((-6)/14)/((-1)/7). Suppose 0 = -37*a + p*a + 12. Solve -9 - 1 = a*x for x. -5 Suppose 0*n + 3 = -j + n, 3 = 4*j + n. Let p = -2278 + 2281. Suppose -p*s + 8 + 4 = j. Solve 5*i + 1 = s*i for i. -1 Let u = 7 + -2. Let v be 105/6*6*171/135. Suppose 0 = 11*g - 353 + v. Solve u - g = 3*p for p. -5 Suppose -4*n + 5*i = -640, 5*n + 2*i - 898 = -4*i. Solve 39*s - 5*s = n for s. 5 Let r(t) = t**3 - 64*t**2 + 124*t + 22. Let y be r(62). Solve -5 = 21*x - y*x for x. 5 Let k = 25 - 23. Suppose i - 71*m = -66*m + 28, -4*i = 2*m - 178. Solve -i = -k*s - 41 for s. 1 Suppose 5 = -f, -97*v - 3*f - 31 = -99*v. Solve 56 = v*a + 8 for a. 6 Let u(d) = d**3 + d**2. Let p(j) = -4*j**3 - 5*j**2 - 7*j - 4. Let f(q) = -p(q) - 3*u(q). Let t be f(0). Solve -9*i + 7*i = t for i. -2 Suppose 20 = 18*m - 754. Let v = -39 + m. Solve v = -3*t - 8 for t. -4 Let w = -9016 - -9016. Solve 33*o - 16*o + 102 = w for o. -6 Suppose -2*b - 17 = -5, 4*b = -4*z + 40. Solve z*x - 36 = 7*x for x. 4 Suppose 10*f - 422 = -4*q, -83 = -2*f + q - 2*q. Solve -103*r = -470 - f for r. 5 Suppose 0 = d - 0 + 3. Let f(k) = -5*k - 11. Let t be f(d). Suppose 3*w = n + 4*n - 43, -4*w - t = 0. Solve -2*m - n = -0*m for m. -4 Let s = -3814 + 3831. Solve 3*r - 80 = -s*r for r. 4 Suppose 0 = 27*q - 26*q - 51. Suppose 4*h - 8 - q = -3*i, -2*i = 5*h - 65. Solve 0 = 7*a - h*a - 20 for a. -5 Let f be 3/(-1)*3124/(-66). Suppose 0 = 6*s - f + 106. Solve -o - 2 + s = 0 for o. 4 Suppose -52*p = -41*p - 132. Solve -18 = -3*d + p*d for d. -2 Let w be 6/14 - (-7560)/196. Solve w = 6*p + 9 for p. 5 Suppose 0 = z + 37 + 79. Let w be z/(-18) - 104/234. Solve w = 5*g - 19 for g. 5 Let d be (-5 + 3 + 0)/((-6)/9). Suppose -2*b - 2 = -d*b. Suppose -5*i = b*v - i - 18, 4*v = i. Solve -2*x - v = -3 for x. 1 Let q(l) be the second derivative of 2*l**4/3 - l**2/2 - 3*l. Let g(j) = j**3 + 25*j**2 - 54*j - 1. Let p be g(-27). Let f be q(p). Solve -r - 3 = -f for r. 4 Let a be (21 + 744/(-30))*-25. Solve 48*n - 329 = a*n for n. -7 Let m(c) be the second derivative of -2*c**3/3 - c**2/2 - 78*c. Suppose 0 = -0*q - 3*q - 3. Let u be m(q). Solve -u*w = -2*w for w. 0 Suppose -85*x + 70 = -80*x. Let l = -32 - -46. Let h = l - x. Solve h = 2*o - o + 5 for o. -5 Let z be (-29 + 12)*12/(-2). Suppose -z*r = -107*r + 20. Solve r*x = 6 - 2 for x. 1 Let g(q) be the first derivative of q**3/3 + 4*q**2 - 18*q - 67. Let o be -1 + (-2 - 0) + 5. Let l be g(o). Solve -l*j + 4 = -j for j. 4 Let r = -10250 + 10284. Solve 1 = 11*z + r for z. -3 Let a(p) = -3*p**2 + 12*p + 64. Let i be a(7). Let x(l) = l - 2*l**2 + l**2 + 4 + l**3 - 2 + 2*l**2. Let n be x(0). Solve 0 = n*u + i + 1 for u. -1 Let t be (-6)/15 + (198/15)/3. Let c be 90/27 - (-6)/9. Solve -c*f + 5*f + t = 0 for f. -4 Let f(s) = -s**2 - 47*s - 127. Suppose -13*h + 3*m + 164 = -17*h, -5*h = 2*m + 212. Let y be f(h). Solve 0 = -k + y*k for k. 0 Suppose -28*x + 94 = -19*x - 635. Solve 26*s = -x*s + 535 for s. 5 Suppose -299*n + 295*n + 3*z = -1125, 2*n + 2*z = 538. Solve -6 = n*q - 277*q for q. 6 Let g be (-64)/96 - 968/6. Let c = g - -164. Solve c = 3*m + 17 for m. -5 Suppose -2*v + 0*j - 2*j = 34, 0 = 3*v - j + 63. Let u be 5/(-3)*24/v. Suppose 11*o + 6*o - 170 = 0. Solve -7*r = -u*r + o for r. -2 Let m = -72 + 77. Let s be ((2 - m) + 2)*(0 - 5). Solve s*f = 7*f + 2 for f. -1 Suppose 0 = 4*k + 5*n + 27, -k = -n - 0*n. Let l be (0 + 4 - 28)/(k/2). Solve l*y - 10 = 14*y for y. 5 Let k = -9844 - -9900. Solve 57*y + k = -115 for y. -3 Suppose 0 = -124*l - 2878 + 3746. Let x be ((-2 - -2) + 1)*4. Solve 11*z - l*z = -x for z. -1 Let j be (-5)/(-2)*60/(-50) + 28. Suppose -2*g = -p + 3, p + 12 = 5*p. Solve -j*t + 26*t = g for t. 0 Suppose r = 5*j - 60, 113*j - 2*r + 49 = 116*j. Solve 45 = 8*z + j for z. 4 Let d = 6 + -6. Let m be (2 - 7)*(-2 + d). Let k(r) = r**2 - 4*r - 1. Let q be k(5). Solve -c = q*c - m for c. 2 Suppose 5*f - 23 = -2*r, -5*f = r - 10*f - 34. Solve -r + 11 = 4*q for q. -2 Let j be (-12)/22*(-20504)/699. Solve -j*y + 10 = 74 for y. -4 Let o(v) = 4*v - 7. Let a(d) = -d + 17. Let w be ((-1)/(-3))/(2/54). Let y be a(w). Let t be o(y). Solve 4*i - t = 9*i for i. -5 Let w = 34734 - 34731. Let l(u) = 3*u + 2. Let i be l(2). Solve 7 + i = w*a for a. 5 Let s be (5 + -2)/3*-9. Let g(l) = -l**3 - 8*l**2 + 7*l - 13. Let b be g(s). Suppose -7 = -b*u + 3. Solve u*c - 5*c = 9 for c. -3 Let a(i) = -i**2 + 11*i + 4. Let d be a(13). Let l be 24/20*(d/(-3) + -4). Solve 3*h - l*h = -3 for h. 3 Suppose 0 = -5*m - 5*u - 5, m + 0*m - u = 5. Let v = -287 + 284. Let o be m/v - (-33)/9. Solve 4 = -7*c + o*c for c. -1 Let l(o) = -29 - o**2 - 8*o + 48 - 26. Let r be l(-2). Solve j + 3 = r for j. 2 Suppose 16 = 5*d - 4. Suppose 16 = d*f - 4*p, 3*f = p + 21 - 9. Solve f*b = -2*b for b. 0 Let d be 4/16*-2*6. Let u be 28/(-56) - (0 - d/(-6)). Solve u = 3*q + 2 + 4 for q. -2 Suppose 5*w - 2*l - 370 = 42, l + 416 = 5*w. Solve -74*n = -w*n - 30 for n. -3 Let o = 5405 - 4823. Solve -o = j - 585 for j. 3 Let x(a) = -a + 16. Suppose 0 = -4*t - 2*i - 2*i, 3*i = -4*t - 2. Let l be 3/t*(-12)/(-2). Let n be x(l). Solve 3*w - n = -2*w for w. 5 Let s(v) = -40*v - 200. Suppose -22*p = 13 + 97. Let b be s(p). Solve b = m + 1 + 4 for m. -5 Let b(g) = -5*g**2 - 282*g - 103. Let h be b(-56). Solve 12 = w + h for w. 3 Let q be (10/4 - 2)*10. Suppose -5*x - 69 = 2*b, 0 = 3*x - 5*x - 2. Let w be 4/(b/(-2))*(-16)/(-4). Solve 4*o - q*o + w = 0 for o. 1 Suppose 3*z = -2*x + 26, -7*z - 4*x = -2*z - 46. Suppose 271 = -18*k + 325. Solve -y + z = -k*y for y. -3 Let g be (-4)/5*(-35)/14. Suppose 3 = -3*l, -3*l + 45 = -6*c + g*c. Let j = 15 + c. Solve 0 = k + j*k - 20 for k. 5 Suppose -13 = 3*r - 46. Suppose -r*a = -12*a. Suppose -m - 5*m = a. Solve m*k = 5*k + 15 for k. -3 Let j be -12 + (-348)/(-28) + 123/7. Solve -j*h = -21*h + 3 for h. 1 Let n = -29 - -33. Suppose 3*y + 13 = 3*c - 5, -4*c = n*y + 16. Suppose -i + c = -5. Solve 5*x - 19 = i for x. 5 Suppose y - 5*y = -32. Let s(q) = -1 - y - 5 - 7 - 3*q. Let l be s(-10). Solve -4*v = -l*v - 10 for v. -2 Let n be (-168)/(-86) + (-374)/(-8041). Suppose -t - 6 = 2*g, 4*t - 5*g - 11 = 4. Solve -n*m = 10 - t for m. -5 Let o be 15 + -3 + ((-102)/(-12) - 9)*-10. Solve o*k - 124 = 48*k for k. -4 Let l(m) = 11*m + m + 272*m**2 + 9 - 264*m**2 + 11. Let v be l(-2). Solve -36 = 4*h - v for h. -2 Let v(r) = -r - 10. Let f be v(-14). Suppose p - f = 4. Suppose -p*t = -6*t - 4. Solve -4 + t = 2*u for u. -1 Suppose 4*d - 13 = l, d - 782 + 777 = 2*l. Let o(m) = m**3 + 7*m**2 - 9*m - 11. Let u be o(-8). Let v(h) = -2*h + 2. Let w be v(u). Solve -w*z + d*z = 15 for z. -3 Let o = -22 + 35. Let t = 5 + o. Suppose -100 = t*q - 23*q. Solve -g + q = 4*g for g. 4 Let t(b) = -100*b - 1000. Let l be t(-10). Solve -q + 2 = -l*q for q. 2 Let r be (-34)/(-8) + (-14)/56. Suppose r*g - 13*g + 108 = 0. Solve 0 = 4*p - g + 8 for p. 1 Let v(x) = x + 57. Let w be v(20). Let d = w - 70. Let t = -4 + 6. Solve -d*q = -t*q for q. 0 Let y(z) = 141*z**2 + 681*z + 1353. Let c be y(-2). Solve -549*t = -c*t - 18 for t. -3 Let z(w) = -9*w**3 + 358*w**2 + 84*w - 152. Let c be z(40). Solve 242 = -c*h + 266 for h. 3 Suppose 0*a - a + 12 = 0. Let p be -4*(-2)/12*(23 + 14 + -34). Solve -p*w + a = -5*w for w. -4 Let f be ((-10)/(-4))/((-2)/(-4)). Suppose -4*l + f*k + 15 = -2*l, -14 = -2*l + 4*k. Let z be ((-9)/(-12))/((-4)/(-16)). Solve z*t - l = 7 for t. 4 Suppose -2*l + 8 + 0 = 0. Suppose 4*o + 3*n - 5680 = 0, 4*o + n = 2520 + 3160. Suppose -o = -15*w - 1345. Solve w*c + 11 = -l for c. -3 Suppose 0 = 58*m - 48*m - 60. Suppose -3*g = -12, v + 3*g + 18 = m*v. Solve 0 = 91*o - 89*o - v for o. 3 Let t be 22/(-4) + (-24)/(-16). Let i be t/(-6) + (-2)/3.
{ "pile_set_name": "DM Mathematics" }
est value in 2/5, 4/3, -2, 229? -2 What is the second smallest value in -5, -2, 0.2, 5? -2 Which is the second smallest value? (a) 1631/6 (b) -3 (c) -0.2 c What is the third biggest value in 3/2, -4, 0, 2/17, 9? 2/17 What is the third smallest value in -4, 0.5, 0.4, -128? 0.4 Which is the fourth biggest value? (a) -0.2 (b) 0.5 (c) -0.3 (d) 6 (e) 7 a What is the third smallest value in 1/26, -0.1, 3, -3? 1/26 What is the third biggest value in 2, -143, -1, -0.1, 0.5? -0.1 Which is the fourth biggest value? (a) -0.5 (b) -3 (c) -573 (d) -1 c What is the biggest value in 7, -3, 0.5, 1/11? 7 Which is the third smallest value? (a) -207 (b) -1 (c) 0 c What is the second biggest value in -1/4, -5, 0.56? -1/4 What is the third smallest value in 3, -2, 236? 236 Which is the second smallest value? (a) 2 (b) 0.06 (c) 1 (d) 6 (e) 2/11 e What is the second smallest value in 1.1, -0.18, -2? -0.18 What is the third smallest value in -23/7, 2, -1/6? 2 What is the third biggest value in -3/5, -1/471, 2? -3/5 What is the fourth biggest value in 0.4, 0.2, 0.3, -5, -7? -5 What is the second biggest value in 5, -5, -0.3, 4, 0.3? 4 What is the smallest value in -2, 9, -4? -4 What is the smallest value in -16, 29, 1, 1/4? -16 What is the fifth biggest value in -0.2, 2, 0, 1, -12? -12 What is the smallest value in -1, 4, 17? -1 Which is the smallest value? (a) -40 (b) -0.1 (c) -9 a What is the fourth smallest value in 1, 4, 0, 2/5, 82/3? 4 Which is the smallest value? (a) -2 (b) -3.9 (c) -1/4 b Which is the second smallest value? (a) -0.01 (b) -1 (c) -3 (d) 2/39 b Which is the smallest value? (a) 4 (b) 7.1 (c) 25 a What is the second smallest value in -2/25, 9, -4? -2/25 Which is the smallest value? (a) 4 (b) -26.9 (c) 2/7 b Which is the fourth smallest value? (a) -34 (b) 0.1 (c) 1/3 (d) 3/4 d What is the fourth biggest value in 74, -1, -5/2, 71? -5/2 Which is the fifth biggest value? (a) -10 (b) 7 (c) -0.3 (d) -0.5 (e) -0.2 a Which is the smallest value? (a) 5 (b) 6 (c) -2 (d) -1 c Which is the biggest value? (a) -16 (b) 0.17 (c) 5 c Which is the second smallest value? (a) 0.1 (b) 14 (c) 8 c What is the second biggest value in 2, 0, -363? 0 What is the fourth smallest value in 0, 184, -7, 2? 184 What is the fourth smallest value in 43, 5, 1, -5, 0.2? 5 Which is the biggest value? (a) -0.1 (b) 0 (c) -2/5 (d) 1/5 (e) -0.6 d Which is the third biggest value? (a) 5 (b) -1/6 (c) 115 b What is the smallest value in 5, 0.07, -1041? -1041 What is the third smallest value in 0, -0.2, 122? 122 Which is the third smallest value? (a) -1/5 (b) 501 (c) -5 b What is the second biggest value in -4, -131, 5, 1/3? 1/3 Which is the biggest value? (a) 0 (b) -1 (c) 1 (d) 4/19 c What is the second smallest value in -211, -1, 0.4? -1 Which is the third smallest value? (a) 0.18 (b) 0.4 (c) -2/7 (d) -0.3 a What is the biggest value in 0.15, 0.5, -0.9, -5? 0.5 Which is the smallest value? (a) 0.1 (b) 171 (c) 0.2 (d) -0.02 d Which is the third smallest value? (a) -4 (b) -1/3 (c) -0.1 (d) -2/5 b Which is the biggest value? (a) 1/3 (b) 4 (c) -73 b Which is the third biggest value? (a) -2 (b) -10 (c) -5/2 b What is the third biggest value in 5, 1/49, 0? 0 What is the second biggest value in -332, -3, 2? -3 Which is the second biggest value? (a) -0.4 (b) 4 (c) -6 (d) -20 a What is the third smallest value in -453, 3/5, 0.5? 3/5 Which is the fifth smallest value? (a) -0.3 (b) -2 (c) -3/4 (d) -1/2 (e) 16 e What is the second smallest value in -1/5, -2, 4, -21, 0? -2 What is the biggest value in -5, 3/4, -2/561? 3/4 What is the fifth biggest value in 0.1, -4, 1/4, 8, 79/3? -4 What is the second smallest value in -0.3, -3, 1? -0.3 What is the third biggest value in -1, 4, -0.5, 5? -0.5 What is the fourth smallest value in -2/9, 0.12, 5, -3/7? 5 Which is the smallest value? (a) -6 (b) 3 (c) 3/4 (d) 0.6 (e) 5/2 a What is the fifth smallest value in 0.2, -11, 5, -2/65, -2? 5 What is the fifth smallest value in -4/7, -5, 0.5, -64, 0.3? 0.5 What is the third smallest value in -0.11, -1, 0.02? 0.02 What is the third smallest value in 58, -6, 0? 58 What is the biggest value in 5, 2/49, -4, -1/6? 5 Which is the second smallest value? (a) -43 (b) -0.03 (c) -0.3 (d) 4 c What is the smallest value in -2/15, 0.2, -5, -8? -8 What is the second biggest value in 9.9, -2, -27? -2 Which is the fourth smallest value? (a) 4 (b) -4 (c) -1/7 (d) -2 (e) 3/14 e What is the smallest value in 2/3, 5/3, -0.1, 3/2? -0.1 What is the third biggest value in -0.4, -0.2, 1/1011? -0.4 What is the second smallest value in 5, 2/3, 1/15? 2/3 Which is the fourth smallest value? (a) -3 (b) -104 (c) -5/6 (d) 3 d Which is the smallest value? (a) -6.9 (b) -0.1 (c) 39 a What is the second smallest value in -0.13, -3, 0.4, 22? -0.13 What is the third biggest value in -4, -52/5, -3/2? -52/5 What is the fourth smallest value in 4, -0.3, -6, -0.01? 4 Which is the biggest value? (a) -3/7 (b) -2.5 (c) -0.04 c Which is the third smallest value? (a) 1/4 (b) -2 (c) 2 (d) 0.2 a Which is the smallest value? (a) 0 (b) 4/5 (c) -186 c Which is the third biggest value? (a) -1/8 (b) 30 (c) 0 (d) -4 a Which is the second smallest value? (a) -6/7 (b) 6 (c) 1 (d) -1 (e) 2/57 a Which is the smallest value? (a) -0.3 (b) -4 (c) 4 b Which is the smallest value? (a) 0.2 (b) -1/3 (c) 4 b Which is the biggest value? (a) 0.3 (b) -4 (c) 0.4 c Which is the fourth biggest value? (a) 0.2 (b) -3/7 (c) -0.071 (d) 4 b Which is the third smallest value? (a) -0.1 (b) 2/11 (c) -2 b What is the fourth biggest value in -0.5, -3, -9, 213? -9 What is the fifth biggest value in -13/3, -0.4, 1, -2/3, 2/7? -13/3 Which is the third biggest value? (a) -1 (b) 63 (c) 9 a Which is the smallest value? (a) 4/3 (b) -1 (c) -4 (d) -1.3 (e) 12 c Which is the biggest value? (a) 0.2 (b) 1113 (c) 3 (d) -0.4 (e) 2/15 b Which is the second smallest value? (a) -1/17 (b) 16 (c) -0.2 a Which is the biggest value? (a) -0.3 (b) 0.3 (c) 1/183 b Which is the third biggest value? (a) 1 (b) -11 (c) -0.5 b Which is the fourth smallest value? (a) 115 (b) -1/6 (c) -0.16 (d) -0.3 a What is the second smallest value in -0.3, 1, -1, -3, -2/37? -1 Which is the third smallest value? (a) 0.5 (b) 360 (c) 5 (d) 0.1 (e) -0.3 a Which is the smallest value? (a) -1/72 (b) 1 (c) 1/8 (d) 5 a Which is the biggest value? (a) 2/9 (b) 1/5 (c) 486 (d) -1/8 c Which is the smallest value? (a) 8.2 (b) -0.4 (c) -5 (d) 0 c What is the third biggest value in -1/4, -2, 13? -2 What is the biggest value in -3, -6, -0.1, -0.23? -0.1 Which is the second smallest value? (a) -16 (b) 91 (c) 1 (d) 1/2 (e) 0.4 e What is the smallest value in 4/5, -0.04, 0.4, 43, 2? -0.04 Which is the biggest value? (a) 0.5 (b) 4 (c) 4/25 (d) -0.1 b Which is the fourth biggest value? (a) -0.2 (b) -2/9 (c) 1 (d) -9 d What is the biggest value in 23, -1.5, -0.4, 5? 23 Which is the fourth smallest value? (a) 4/3 (b) 25 (c) 0.06 (d) 0.2 b Which is the third smallest value? (a) 0.5 (b) 1/36 (c) -2 (d) 2 (e) 1/3 e Which is the fourth smallest value? (a) 0.4 (b) 182 (c) 0 (d) -0.3 b What is the biggest value in 2, -8, 5, 1? 5 What is the third biggest value in -1/5, -2389, 3, -1? -1 What is the biggest value in -4, 15, -2? 15 Which is the biggest value? (a) 0.4 (b) 13 (c) 2/7 (d) 5 b Which is the third biggest value? (a) 1/7 (b) -5 (c) -3/4 (d) 1 c What is the third smallest value in 123, -3/2, 2/11, -0.4, -0.2? -0.2 Which is the biggest value? (a) 2/123 (b) -2/5 (c) -1/3 (d) -1 a What is the second biggest value in 1, 2, 123/5, -3? 2 Which is the fourth smallest value? (a) -3 (b) -1/8 (c) -5 (d) -0.5 b What is the second biggest value in 1/6, 2/21, 4/7? 1/6 What is the fourth smallest value in 15/46, -2, 2, 0.2? 2 What is the second smallest value in -0.4, 1/9, 7, 4, -2? -0.4 What is the second biggest value in 2, 5, -4, 19? 5 Which is the third biggest value? (a) 1027 (b) 1 (c) -2/15 c What is the second smallest value in -1/3, -0.03, -14? -1/3 What is the fourth biggest value in 0, 2/13, -13, -2/5, 2/9? -2/5 What is the biggest
{ "pile_set_name": "DM Mathematics" }
t(567) - sqrt(567)*3 - 5*sqrt(7)*-2). -51*sqrt(5)/4 Simplify ((-1 + sqrt(75) + -1 + (sqrt(75) + 0)*1 + 3 + 1 + sqrt(75) + -4)**2 + -3)*-2. -1352 + 120*sqrt(3) Simplify ((3*sqrt(196)*-2 + -1*sqrt(196)*1 + sqrt(196))/(1*-2*sqrt(448)))**2. 63/16 Simplify (-2 + sqrt(288)*3 + sqrt(288) + 1*(3 + sqrt(288) + sqrt(288)) - (3 + (-2*(sqrt(288) - (0 + sqrt(288)) - sqrt(288)) - (sqrt(288) + 1)*-5)))**2. 168*sqrt(2) + 337 Simplify 3 + (-4*sqrt(70)*2*4*2)/((sqrt(120) - (-2*sqrt(120) - sqrt(120))*1)/(sqrt(48)/sqrt(4)*-2)). 3 + 32*sqrt(7) Simplify 6*((-2*(sqrt(117)*1 + sqrt(117)))/((sqrt(72)/sqrt(2) + sqrt(36))/sqrt(4)) + sqrt(468)*-5 + sqrt(468) + 1 + sqrt(468))**2. -240*sqrt(13) + 31206 Simplify (sqrt(98)*1 + 4)**2 + -4 + sqrt(18)/(sqrt(18)/sqrt(2)) - ((-1*2*sqrt(10))/(sqrt(5) - sqrt(245)*-3))**2. 57*sqrt(2) + 13308/121 Simplify -4 + -4 + (-1*(2*sqrt(22) + sqrt(22)) - sqrt(550)*2)/(-1*(sqrt(200) - -2*sqrt(200))). -8 + 13*sqrt(11)/30 Simplify (5 + -4*(sqrt(117) + (sqrt(117) + 2)*-1))**2 - ((sqrt(13) - (sqrt(13) - (-4 + sqrt(104)/sqrt(8))) - -3*sqrt(1872)) + 4)**2. -17628 Simplify (4*3*((sqrt(2057) - -3*sqrt(2057)*2 - (0 + sqrt(2057) + sqrt(2057) + sqrt(2057) + 0)) + ((-2 + 2*sqrt(2057) - sqrt(2057)) + sqrt(2057))*3))**2 + -2. -190080*sqrt(17) + 29625982 Simplify (sqrt(1539) + sqrt(1539)*-2 + 3 + (sqrt(1539) + 1)*-3 + -3)*3 + 2 + -4. -108*sqrt(19) - 11 Simplify ((sqrt(156) - (sqrt(156)*-5*-1 + sqrt(156) - sqrt(156)) - sqrt(156)) + (sqrt(156) - sqrt(156)*5)*-4)/(sqrt(1944)/sqrt(2) + -2*sqrt(48)/sqrt(4)). 11*sqrt(13)/7 Simplify (5 + -4 + (sqrt(243) - sqrt(243)*1 - sqrt(243))*3 + (2 + sqrt(243))*-2)**2 + 4. 270*sqrt(3) + 6088 Simplify ((4*(sqrt(189) + sqrt(189)*1))/sqrt(7))/(6*5*sqrt(441) - sqrt(441)) + 2 + -5. -3 + 8*sqrt(3)/203 Simplify (6*(sqrt(60) + sqrt(15)))/(2*sqrt(12)/sqrt(4) - sqrt(3)) + ((-2 + sqrt(20)*-2 + (sqrt(80) - (-1 + sqrt(80)) - sqrt(80)))*-2)**2. 82*sqrt(5) + 1284 Simplify (3*sqrt(2880)*3)/((sqrt(4) - sqrt(16)/sqrt(36)) + sqrt(256)*1). 162*sqrt(5)/13 Simplify -1*((5 + sqrt(475) - sqrt(171)/(sqrt(27)/sqrt(3))) + -4 + ((sqrt(171) - (sqrt(171) - (2 + sqrt(171)))) + sqrt(171))*2)**2. -4889 - 160*sqrt(19) Simplify 0 + (((sqrt(320)*1)/sqrt(8))/(sqrt(40)/(sqrt(5) + (sqrt(5) - sqrt(15)/sqrt(3)))) - (-5*sqrt(10)/sqrt(2) - (2 + sqrt(5))**2*-3)). -27 - 6*sqrt(5) Simplify 4*-2*(sqrt(18) + -4 + -5 - (sqrt(150)/sqrt(3) + 1))**2*-5. 1600*sqrt(2) + 4320 Simplify (-3*(-3 + (1 + sqrt(200) - sqrt(200))*-3 + (-1 + sqrt(200))*6) + 2 + 3)**2. -14760*sqrt(2) + 66481 Simplify 3*(-4 + -5 + 1*sqrt(7) + 3 + (sqrt(7)*-2)**2 - (4 + -4 + -3*sqrt(63))). 66 + 30*sqrt(7) Simplify (-3*sqrt(6)*3 - -3*sqrt(864))/(5*sqrt(6)/sqrt(72)*-3). -54*sqrt(2)/5 Simplify (-2 + (sqrt(19) + -1 + -3 - sqrt(304)*-6)*5)**2 + -1 + -4. -5500*sqrt(19) + 297354 Simplify ((-4 + 5*(4 + -2*sqrt(68) + -3)*-3)*-4)**2. -36480*sqrt(17) + 984976 Simplify (-5*(-1 + (-5*1*sqrt(192) - (-3 + 0 + sqrt(432)))*-2 + -4))**2. -57200*sqrt(3) + 814225 Simplify (-3*(-6*(sqrt(70) - sqrt(70)*-1) + sqrt(70))*6)/((sqrt(110)*-2 + sqrt(110))/sqrt(11) - -5*-1*sqrt(10)). -33*sqrt(7) Simplify -3 + 5*((sqrt(1700)*2)**2 - sqrt(1700)) + sqrt(1700) + -1 + (sqrt(1700) + ((sqrt(1700) + sqrt(1700)*1)**2 - sqrt(1700)) + 1)*6 + -3. -40*sqrt(17) + 74799 Simplify -3*(-5 + sqrt(19)) - (sqrt(228)/(sqrt(12)*-1))**2 - ((sqrt(209) - -1*sqrt(209)*-3)/sqrt(11) + 0). -sqrt(19) - 4 Simplify (sqrt(91) - ((sqrt(91) - (1*sqrt(91) - sqrt(91)))*4 - sqrt(91)))/(-5*-2*sqrt(7)) - (-1*-1*sqrt(104))/(-3*(sqrt(8) - sqrt(72))). -11*sqrt(13)/30 Simplify ((-5 + sqrt(425))*-2 + 2 + 4*(sqrt(17) - (sqrt(612) + sqrt(17))*-5 - sqrt(17) - (sqrt(68)/sqrt(4) + 1)))**2. 2016*sqrt(17) + 269956 Simplify (5*(sqrt(275) + -3 + -4 + -2 - (sqrt(275)*-3 + 3 + 0))*-4)**2. -192000*sqrt(11) + 1817600 Simplify 2*(1*sqrt(196)/sqrt(144))/((sqrt(70) - (sqrt(70)*2 + sqrt(70))*1)/sqrt(10)). -sqrt(7)/6 Simplify ((sqrt(735) + sqrt(735)*1*6)*5)/((sqrt(4800) + sqrt(4800)*1 + sqrt(4800) + sqrt(4800))*-3). -49*sqrt(5)/96 Simplify (-6*(0 + (sqrt(171) - -4*(0 + sqrt(171))) + sqrt(171) + 0 + 2 + sqrt(171) + sqrt(171) + -4)*5*5)**2. -2160000*sqrt(19) + 246330000 Simplify ((-5*(sqrt(3) + 2)*-3)**2 - (5*(sqrt(15) + sqrt(60)/sqrt(4))/sqrt(5))**2)*1*2. 2550 + 1800*sqrt(3) Simplify -3 + 6*(sqrt(320) + -1 + -2 + sqrt(320))*-6 + (1*sqrt(4840))/(sqrt(8) - sqrt(864)/sqrt(3)). -2891*sqrt(5)/5 + 105 Simplify (-5*-6*2*2*sqrt(143))/((sqrt(220)*-1)/sqrt(5) + (sqrt(528) - -2*sqrt(528))/sqrt(12)). 30*sqrt(13) Simplify -1*(-4 + ((1*sqrt(96)*3)/(sqrt(4)/(sqrt(4)/sqrt(2))))**2)*-3. 1284 Simplify -4 + -5*((sqrt(243) + (3 + sqrt(243) + -1*sqrt(243) - sqrt(243)) - (sqrt(243) + 1)*3)**2 + (6*(sqrt(243) + -1*sqrt(243))*5)**2). -10939 Simplify (-4 + (6*(sqrt(343) - (-2 + sqrt(343)))**2 - sqrt(343)))*2 + (sqrt(343) - sqrt(343)*-1) + -2 + sqrt(343)*-1 + -5 + 5. -7*sqrt(7) + 38 Simplify ((6*(sqrt(48) - (sqrt(48) + 1))*-5)**2 + (sqrt(48) + (sqrt(48) + -2*sqrt(48) - sqrt(48)) + 0 - 3*sqrt(96)/sqrt(2)))*4. -64*sqrt(3) + 3600 Simplify (6*((-3 + sqrt(363) + 1 + sqrt(363) + sqrt(363))**2 - sqrt(363))*-2 - (-3 + (1*sqrt(363))**2 + (sqrt(363) - (1*sqrt(363) + -1)))) + 0. -39613 + 1716*sqrt(3) Simplify ((-1 + (-1 + 4*(sqrt(1573) - 3*(sqrt(1573) + 1) - ((((sqrt(1573) - 1*sqrt(1573)) + sqrt(1573))*-4 - sqrt(1573)) + sqrt(1573))))*-1)*-3)**2. -19008*sqrt(13) + 907344 Simplify (3*(sqrt(7) + -5 + 1 + sqrt(7)))**2 - (-1 + sqrt(700) + 2)**2 - ((-4 + sqrt(28)/sqrt(4))*6 - sqrt(56)/(sqrt(24)/sqrt(3)*-1 - sqrt(8)))**2. -4707/4 + 148*sqrt(7) Simplify (3*sqrt(5324)*2 - (sqrt(5324) - 4*(sqrt(5324) + -1*sqrt(5324))))/((sqrt(256) - -2*sqrt(256))*-1*2). -55*sqrt(11)/48 Simplify -1 + 4*-4*-1*sqrt(175) + 2*(sqrt(7) - (-2*sqrt(847) - sqrt(7)) - sqrt(7)) + (sqrt(343) + sqrt(343) + 0 + sqrt(343) + 4 + sqrt(343))**2. 350*sqrt(7) + 5503 Simplify (1*sqrt(3630)*-2)/(sqrt(54) + (sqrt(5400) - (sqrt(5400) - -2*sqrt(5400)) - sqrt(5400) - sqrt(5400))) + -3. -3 + 22*sqrt(5)/117 Simplify ((sqrt(72) - (sqrt(72) + (-2*sqrt(72))**2)) + sqrt(72) + 1 - sqrt(72) - sqrt(72)) + (1*sqrt(72))**2*5 - (-5*sqrt(2) + 1 - (sqrt(50) + 3)**2). 29*sqrt(2) + 131 Simplify (-5 + sqrt(17) + (-3 + sqrt(17))**2 - (-2*sqrt(68))/sqrt(4)) + sqrt(1377)*-3*-6 + 5. 26 + 159*sqrt(17) Simplify -2*((2 + sqrt(432) - sqrt(3))*4*6 - 6*sqrt(27)/(1*sqrt(9))*2)**2. -385632 - 48384*sqrt(3) Simplify (sqrt(735) - 1*sqrt(735))/((sqrt(25)*2)/sqrt(5))*4 + (-4 + sqrt(432)*-1 + 1)**2. 72*sqrt(3) + 441 Simplify ((-6*4*-2*sqrt(78))/(-2*sqrt(24) + (sqrt(66)*2)/sqrt(11)))**2. 7488 Simplify (sqrt(35) + sqrt(140)*3 + (sqrt(2240)*3 - sqrt(2240)))/(6*sqrt(125)*1*6). 23*sqrt(7)/180 Simplify 3 + sqrt(2)*1 + 4 + (sqrt(200) - (0 + sqrt(200))) + ((1 + 0 + sqrt(50))*1)**2. 11*sqrt(2) + 58 Simplify (-1*(-1 + ((sqrt(189) - 6*(sqrt(189)*-2 + sqrt(189) - sqrt(189))) + -2*sqrt(189)*-2)/(-4*(-2*sqrt(112) + sqrt(112)))))**2. -51*sqrt(3)/8 + 8059/256 Simplify ((-1*sqrt(234))/sqrt(2)*4 + (-5*(sqrt(325) + -2 + sqrt(325) + sqrt(325)) - (-1*sqrt(325) + sqrt(325) + -1)))**2. -1914*sqrt(13) + 98518 Simplify (-6*(4 + sqrt(363) + -2 + 4 - (-3 + sqrt(363) + (sqrt(363)*3 - sqrt(363) - sqrt(363)) + -4 + sqrt(363))))**2. -20592*sqrt(3) + 58356 Simplify 5 + 2 + sqrt(432) + 4 + 4 + (0 + (0 + sqrt(432) - sqrt(432) - sqrt(432)))*-5. 15 + 72*sqrt(3) Simplify ((((-1*sqrt(78) + sqrt(78) + sqrt(78))*3 + (4*-2*sqrt(78) - sqrt(78)))*2)/(((sqrt(144)*-4)/sqrt(3))/sqrt(8)*-1))**2. 117 Simplify ((((1*sqrt(27) - sqrt(27))*-1)/(-2*sqrt(81)) - (sqrt(36)/sqrt(48) - (sqrt(48) + 3)))*-6)**2. 756*sqrt(3) + 1647 Simplify (-6*-2*((-3 + sqrt(1900) + -3*sqrt(1900))*-3*-3 + 5) + 5)**2. 1118880*sqrt(19) + 88713481 Simplify -1 + sqrt(20)/sqrt(16)*1*1 + (sqrt(20) - 2*sqrt(2880))*-2. -1 + 185*sqrt(5)/2 Simplify 6*(-5*sqrt(192)*4)**2 + ((sqrt(42)/(sqrt(6)/sqrt(3)))/(sqrt(28)*6))**2. 22118401/48 Simplify (-1 + sqrt(33)/sqrt(3) - sqrt(11))**2 + sqrt(11) + 0 + 2 - (4 + (sqrt(99) - (5 + sqrt(99) + 1))). sqrt(11) + 5 Simplify (2*(sqrt(156) - -1*sqrt(156)) - (sqrt(156) + -4*-3*sqrt(156)))/(-3*sqrt(432) - (sqrt(72)*3)/sqrt(6)). 3*sqrt(13)/7 Simplify ((sqrt(52) + (sqrt(572) + sqrt(572) + sqrt(572)*3 + sqrt(572) - sqrt(572))/sqrt(11))/(sqrt(12)/(sqrt(75) - sqrt(3))))**2 - -1*-3*(-5 + 1 + 2*sqrt(13)). -6*sqrt(13) + 7500 Simplify (sqrt(19) + (-2*sqrt(95))/sqrt(5) - (sqrt(171) - (
{ "pile_set_name": "DM Mathematics" }
n 8190 is divided by 292. 14 Calculate the remainder when 2195 is divided by 12. 11 Calculate the remainder when 18477 is divided by 22. 19 Calculate the remainder when 5702 is divided by 149. 40 Calculate the remainder when 25013 is divided by 59. 56 Calculate the remainder when 7167 is divided by 76. 23 Calculate the remainder when 1751 is divided by 54. 23 What is the remainder when 2090 is divided by 96? 74 Calculate the remainder when 53921 is divided by 2. 1 What is the remainder when 7187 is divided by 157? 122 What is the remainder when 8548 is divided by 91? 85 What is the remainder when 1070 is divided by 20? 10 Calculate the remainder when 9443 is divided by 270. 263 Calculate the remainder when 258192 is divided by 46. 40 What is the remainder when 9260 is divided by 11? 9 Calculate the remainder when 1505003 is divided by 529. 527 Calculate the remainder when 15530 is divided by 674. 28 What is the remainder when 72815 is divided by 1425? 140 What is the remainder when 21456 is divided by 109? 92 What is the remainder when 2392 is divided by 63? 61 Calculate the remainder when 12728 is divided by 4199. 131 What is the remainder when 17856 is divided by 992? 0 Calculate the remainder when 255020 is divided by 552. 548 Calculate the remainder when 192483 is divided by 4. 3 Calculate the remainder when 85349 is divided by 3555. 29 What is the remainder when 415949 is divided by 15? 14 What is the remainder when 908 is divided by 353? 202 Calculate the remainder when 426070 is divided by 60864. 22 Calculate the remainder when 68092 is divided by 457. 456 Calculate the remainder when 752958 is divided by 109. 95 What is the remainder when 31499 is divided by 5246? 23 What is the remainder when 1108 is divided by 1062? 46 What is the remainder when 12031 is divided by 2? 1 What is the remainder when 35480 is divided by 49? 4 What is the remainder when 213118 is divided by 13? 9 What is the remainder when 100057 is divided by 33352? 1 What is the remainder when 196 is divided by 48? 4 Calculate the remainder when 783970 is divided by 1071. 1069 Calculate the remainder when 159762 is divided by 7986. 42 Calculate the remainder when 5877 is divided by 387. 72 Calculate the remainder when 192600 is divided by 1660. 40 Calculate the remainder when 18174 is divided by 963. 840 What is the remainder when 175199 is divided by 1200? 1199 What is the remainder when 9805 is divided by 446? 439 Calculate the remainder when 43285 is divided by 222. 217 What is the remainder when 9505 is divided by 188? 105 What is the remainder when 615038 is divided by 640? 638 Calculate the remainder when 1491 is divided by 479. 54 Calculate the remainder when 4772 is divided by 83. 41 Calculate the remainder when 1536386 is divided by 79. 73 What is the remainder when 14992 is divided by 80? 32 Calculate the remainder when 109456 is divided by 1288. 1264 What is the remainder when 2758 is divided by 361? 231 What is the remainder when 84336 is divided by 451? 450 What is the remainder when 72195 is divided by 3436? 39 Calculate the remainder when 311428 is divided by 94. 6 What is the remainder when 185049 is divided by 46243? 77 What is the remainder when 56208 is divided by 22? 20 Calculate the remainder when 237444 is divided by 473. 471 What is the remainder when 2675 is divided by 169? 140 Calculate the remainder when 1581 is divided by 523. 12 Calculate the remainder when 2268 is divided by 20. 8 Calculate the remainder when 41939 is divided by 2620. 19 What is the remainder when 22938 is divided by 154? 146 Calculate the remainder when 8255 is divided by 1620. 155 What is the remainder when 2099 is divided by 976? 147 What is the remainder when 249296 is divided by 831? 827 What is the remainder when 345055 is divided by 98? 95 What is the remainder when 76082 is divided by 19012? 34 Calculate the remainder when 142384 is divided by 98. 88 What is the remainder when 5281 is divided by 5? 1 What is the remainder when 381712 is divided by 665? 2 Calculate the remainder when 5048 is divided by 133. 127 Calculate the remainder when 23250 is divided by 3316. 38 What is the remainder when 50833 is divided by 348? 25 Calculate the remainder when 11167 is divided by 11120. 47 Calculate the remainder when 1898 is divided by 376. 18 Calculate the remainder when 21246 is divided by 174. 18 Calculate the remainder when 39653 is divided by 94. 79 What is the remainder when 2021 is divided by 580? 281 Calculate the remainder when 4591 is divided by 1145. 11 Calculate the remainder when 15401 is divided by 2199. 8 What is the remainder when 52355 is divided by 1687? 58 What is the remainder when 14894 is divided by 620? 14 What is the remainder when 295561 is divided by 34? 33 Calculate the remainder when 88654 is divided by 4666. 0 Calculate the remainder when 318301 is divided by 106100. 1 What is the remainder when 18935 is divided by 66? 59 Calculate the remainder when 15267 is divided by 7633. 1 What is the remainder when 866 is divided by 818? 48 What is the remainder when 237 is divided by 39? 3 Calculate the remainder when 44071 is divided by 22018. 35 Calculate the remainder when 13422 is divided by 75. 72 What is the remainder when 57421 is divided by 207? 82 What is the remainder when 710488 is divided by 33? 31 Calculate the remainder when 7681 is divided by 274. 9 Calculate the remainder when 886 is divided by 5. 1 Calculate the remainder when 30860 is divided by 15426. 8 What is the remainder when 627929 is divided by 385? 379 Calculate the remainder when 16832 is divided by 1294. 10 Calculate the remainder when 870674 is divided by 141. 140 Calculate the remainder when 154961 is divided by 6. 5 What is the remainder when 3717 is divided by 124? 121 Calculate the remainder when 27158 is divided by 139. 53 Calculate the remainder when 1637067 is divided by 23. 19 What is the remainder when 42139 is divided by 265? 4 What is the remainder when 94847 is divided by 18967? 12 Calculate the remainder when 489645 is divided by 23. 21 Calculate the remainder when 623582 is divided by 76. 2 What is the remainder when 23428 is divided by 3346? 6 What is the remainder when 55845 is divided by 1092? 153 What is the remainder when 36477 is divided by 12156? 9 Calculate the remainder when 4449 is divided by 3623. 826 Calculate the remainder when 11256 is divided by 20. 16 What is the remainder when 3765 is divided by 744? 45 What is the remainder when 14850 is divided by 3? 0 Calculate the remainder when 40823 is divided by 803. 673 What is the remainder when 3025 is divided by 58? 9 Calculate the remainder when 341892 is divided by 991. 988 What is the remainder when 2279714 is divided by 7? 3 Calculate the remainder when 8439 is divided by 161. 67 What is the remainder when 28084 is divided by 9087? 823 What is the remainder when 102136 is divided by 5375? 11 What is the remainder when 3715 is divided by 137? 16 Calculate the remainder when 15851 is divided by 108. 83 What is the remainder when 25820 is divided by 24? 20 What is the remainder when 19270 is divided by 866? 218 Calculate the remainder when 2833 is divided by 2. 1 Calculate the remainder when 410608 is divided by 416. 16 Calculate the remainder when 10647 is divided by 140. 7 Calculate the remainder when 1395 is divided by 706. 689 Calculate the remainder when 12829 is divided by 772. 477 What is the remainder when 15087 is divided by 98? 93 What is the remainder when 603093 is divided by 185? 178 What is the remainder when 4948 is divided by 107? 26 What is the remainder when 3501444 is divided by 129? 126 What is the remainder when 9219 is divided by 125? 94 Calculate the remainder when 220069 is divided by 36678. 1 Calculate the remainder when 4181 is divided by 1234. 479 What is the remainder when 29496 is divided by 301? 299 What is the remainder when 50092 is divided by 253? 251 Calculate the remainder when 4748 is divided by 423. 95 Calculate the remainder when 7686 is divided by 1259. 132 Calculate the remainder when 21677 is divided by 74. 69 What is the remainder when 223574 is divided by 257? 241 Calculate the remainder when 85220 is divided by 137. 6 What is the remainder when 1290 is div
{ "pile_set_name": "DM Mathematics" }
+ 914. Let v = n + 0.115. Which is the closest to 0? (a) v (b) -1/11 (c) z b Let q = -10 + 6.7. Let f = -3.5 - q. Let o = -3.4 - -3. Which is the closest to 1? (a) f (b) o (c) -1 a Let s be ((-6)/20)/((-78)/65). What is the nearest to s in -2/17, -0.1, -1, 6? -0.1 Let r = -5 - 0. Let f = -13 - -13. Let u = 3 + f. Which is the nearest to 2/5? (a) r (b) 2 (c) u b Let x = 7 - 3. Let v = 1 - -1. Let m be (-12)/(-18)*(-6)/(-4). Which is the closest to m? (a) 0.5 (b) v (c) x a Let q = 1184.5 - 1184. What is the closest to 8 in q, 2, -3, 2/9? 2 Let m = -0.0049 - -0.0049. Which is the closest to m? (a) 55 (b) 0 (c) -5 (d) -0.2 b Suppose 20 = 6*w - w. Suppose -w*g + 5 = -11. What is the closest to -1 in g, 0.2, -3? 0.2 Let r be ((-242)/(-11))/11*(-2)/22. Let s = 0 - -1. What is the nearest to r in 2, -1, s? -1 Let x be 16/64 - (-19)/4. Which is the nearest to -1/25? (a) 1 (b) x (c) 2 (d) -5 a Let d = -20 - -7. Let h = -8 - d. Let u be ((-3)/12*-4)/(-3). Which is the nearest to 0? (a) h (b) -0.5 (c) u c Let f = -1412.95 - -1413. Which is the closest to 0? (a) 0.1 (b) -0.3 (c) -1/5 (d) f d Let v = 1.241 + -0.241. Let u be 6/10 + 98/(-105). Which is the nearest to 2/3? (a) u (b) v (c) 2 b Let m = -2.6 - -0.6. Let l = -0.27894 + 0.37894. What is the closest to m in l, 3, -3/4? -3/4 Let l = -33.5 + 37.5. Let h be 0 + 1 + (-11)/7. Suppose 4 = 5*d - 1. What is the nearest to 1 in h, l, d? d Let p = 115.8 + -127. Let n = -10.8 - p. Let g = 22 - 16. Which is the nearest to g? (a) 3 (b) n (c) 1/3 a Let u = 2.33 + 16.77. Let v = u + -19. Let k be 2*(-1)/(-12)*2. Which is the closest to k? (a) 0.5 (b) -5 (c) v a Let t be (-10)/200*4*-5. Let l = -12 - -17. Let p = l - 3. What is the closest to t in p, -0.1, -1? p Let u = 1033/2331 + 1/777. Let d be (-84)/136 + (-6)/(-51). Let k = -24 - -21. Which is the nearest to 0.1? (a) u (b) k (c) d a Let v be 2/(-8)*-4*(-2)/(-3). Let g = 0.33 - 15.33. Let p = g - -14. What is the closest to -1/2 in v, p, -2? p Let x = -7 - -4. Let f = x - -3.4. Let q be (-5)/20 + 3/(-12)*-4. Which is the nearest to 2/5? (a) f (b) q (c) -5 a Let d = -0.029 + -3.671. Let l = d + 2.7. Let f = 0 - l. Which is the nearest to f? (a) -5 (b) 0 (c) -3 b Let g(j) = j**2 + 4*j - 10. Let l be g(-6). Suppose 0 = l*n + 10, 0 = 2*y - 0*y + 4*n + 10. What is the closest to -1 in y, 3/7, 1? 3/7 Let u = 1.7 - 2. Let z = -273 - -271. Which is the nearest to -2/5? (a) u (b) 4/5 (c) z a Let m = -25 + 18. Let w = -8 - -5. Let z = w - m. What is the nearest to 2/9 in z, -0.5, 0.5? 0.5 Let q = 1729 + -1724. What is the nearest to -1 in 17, 4, q? 4 Let d be 0 + 2 - (-1454)/(-10). Let a = d - -143. Let b be (8/4 - 2)/(-3). What is the nearest to b in a, 0.2, 4? 0.2 Let m be (-12)/(-18)*-3 - (-64)/36. What is the nearest to -0.1 in m, 2/13, -1/4? m Let g = 0.9 - 1. Let i be 4/7*(-28)/(-40). Let x be 1/(-2)*(-18)/12. What is the closest to 1 in i, g, x? x Let r be (-4)/(-14) - (-1)/21. Let v = -48 + 51. What is the closest to r in v, -5, 2? 2 Let a be -1 + 5/4 - (-99)/(-300). What is the closest to a in -2/7, 0.4, 3, -1/4? -1/4 Let p be 2/25*2535/78. Which is the closest to 2/21? (a) -0.3 (b) 2 (c) p (d) 0.1 d Let a = -0.03148 - -3.03148. Let m = -16 + 11. What is the nearest to 0.4 in -0.5, a, m? -0.5 Suppose -3*m + 1 = y, 5*y = -m - 3*m - 17. Suppose 0 - 2 = m*k. Let j = -16 - -16.3. Which is the closest to j? (a) 3 (b) -4 (c) k c Let t = -10 + 10.5. Let a be (2/(-3))/(406/105 + -4). What is the closest to -1 in t, 1/8, a? 1/8 Let u = -5/4 + 19/12. Let r = -6 + 5.5. Let f = 7.5 - 7.7. Which is the nearest to -1? (a) r (b) f (c) u a Suppose 3*z = -z + 16. Suppose -v = -7*t + 4*t - 4, 0 = z*t + v - 4. Let p be 136/(-126) - 24/(-108). What is the nearest to 2/3 in 2, p, t? t Let q(h) = h**2 + 8*h. Let k be q(-8). Let l = 0.028 + -3.028. What is the nearest to k in -0.2, l, 1/3? -0.2 Let h be 5/(-15) - 2/(-6) - -2. Suppose h*z - 1 = 2*s + 1, s + 7 = 4*z. Suppose 0 = -3*r + p + 6 - 1, -r + p + 5 = 0. What is the nearest to r in -4, 5, s? s Let j = -795.1 + 795. Which is the closest to j? (a) -0.47 (b) 4 (c) 3 (d) -4 a Let m be 18/(-15)*(-30)/9. Let d(r) = -r**3 + r**2 + r. Let j be d(1). Let v be (6/3)/(-1 - 2/2). What is the closest to v in j, m, -0.5? -0.5 Let r be (10/(-18))/(80/240). What is the closest to r in -1/4, 0.2, -5? -1/4 Let d = 3 - 7. Let j be ((-2)/(-4))/((-17)/(-34)). Let o be (-21)/27 - (-1)/1. Which is the closest to j? (a) -0.3 (b) o (c) d b Suppose 0 = -3*j - 2*j + 5. Let t = -1171 + 1170. Let b = 0.1 + 0.4. What is the closest to -3 in j, t, b? t Let q = 9 + -12. Let k = 29 - 57/2. What is the closest to -2/17 in k, q, -2/3? -2/3 Suppose -3*z + 87 - 15 = 0. Suppose 5*n - 3 = k + 3*k, 3*n = -5*k + z. Let x = 6 - 11. Which is the closest to 3? (a) -3 (b) x (c) n c Let r = 244.5 - 243.5. Let k = 0 - 0. What is the closest to 2/7 in 4, k, r? k Let s = 236 - 236.109. Let n = -0.091 + s. What is the nearest to n in 0.2, 0, -0.5? 0 Let u be (-28)/(-210) + 0*(-1)/(-3). What is the closest to -2/5 in 4, 3, -0.2, u? -0.2 Let z = 205 - 201. What is the nearest to z in -1, 0, 0.1? 0.1 Let m(u) = 12*u - 1 - 3*u - 4*u - 7*u. Let t be m(1). Let i(f) = -f**3 - 7*f**2 - 6*f + 5. Let d be i(-6). Which is the nearest to -2/3? (a) 0.1 (b) d (c) t a Let j = 0.77 + -3.77. Which is the closest to -17? (a) 4 (b) j (c) -2 b Let j = 0.74 - 0.44. Let k = 3 + -13. Let r be 13/(-6) - k/5. Which is the closest to -1? (a) r (b) j (c) 0.5 a Let w = -82/203 - -20/29. What is the closest to w in -2/7, -0.1, -3/4? -0.1 Let t(f) = -8*f**2 + 3*f - 2. Let a be t(-2). Let q be 0 - 211/5 - -2. Let r = a - q. What is the closest to 0 in r, 2/7, -3? r Let w = -2104/13507 + 2/1039. What is the closest to 0 in 28, -4, w? w Suppose s = 4*t + 24, s + 19 = -4*t + 3. Suppose 5*c = -14 + s. Let f be (0 + 0)*c/4. What is the closest to f in -4, 2/5, -1/5? -1/5 Let x = -0.2 + 1.2. Let l = -17950 + 17950.5. What is the nearest to -1 in l, x, 2? l Let u = 0.049 + 3.951. Let n = 14.5 + -13. Let v = n - 1.2. Which is the nearest to -0.1? (a) u (b) 0.5 (c) v c Let h = 17/4 + -23/4. Let w = 371 - 444.2. Let o = w - -73. Which is the closest to 1? (a) -1/2 (b) h (c) o c Let x = 0.7 - -0.5. Let l = x - 7.2. Let r = 33136 - 33135. Which is the closest to -1? (a) l (b) 2/3 (c) r b Let q = 642/5 + -128. Let h = 68 - 72. Which is the closest to -3? (a) -0.4 (b) q (c) h c Let w(q) = -40*q + 241. Let a be w(6). What is the nearest to -1 in -0.3, a, 3/22? -0.3 Let p = 670 - 668. Let w = 99 - 692/7. Let r = 1.95 - -0.05. What is the nearest to p in r, w, -3? r Let t = -15 + -16. Which is the closest to -1? (a) 5 (b) -5 (c) t b Let s = 782/15 + -52. Let w = -2092 - -2095. Which is the closest to -1/3? (a) w (b) s (c) -7 b Suppose -22*n + 12 + 66 - 12 = 0. Let b = 640/9 - 71. What is the nearest to -0.2 in b, n, 2? b Let t = -252 + 245. Which is the closest to t? (a) -4/7 (b) -4 (c) 0 b Let w = 1765 + -1765. Let l = -0.1 + 0.05. Which is the closest to w? (a) 0 (b) l (c) -3/2 a Let y = 97 - 97.4. Which is the closest to -1? (a) -2 (b) -3 (c) y c Let g = 0.2 + -0.1. Let p = -1/856 + 859/2568. What is the nearest to -1/2 in 4/9, g, p? g Let p = 0.687 + -0.587. Which is the nearest to 1? (a) p (b) 16 (c) -0.1 a Let t = -4.4 - -4. Let r be 5*(13/(-5) - -3). Let f be (3 - r) + 1 - 1. Which is the nearest to t? (a) 1/5 (b) f (c) -1/3 c Let p = 7877/6 - 1313. Which is the nearest to -2? (a) p (b) 4 (c) -0.3 (d) -1/2 d Let l(o) = 2*o**3 - 3*o**2 - o + 1. Let z be l(-1). What is the nearest to 4 in -5, z, 4, -0.3? 4 Let a = 741 - 740. Suppose s - 3 = -2. Let y(t) = -6*t**3 + 1. Let k be y(s). What is the closest to -2/5 in 3/5, k, a? 3/5 Suppose 0 = -2*p + 10 - 0. Let k = -10/209 - -667/836. Suppose -2*z = -2*y - 3*z + 5, -5*y - 4*z = -11. Which is the closest to -2? (a) k (b) y (c) p a Let r = 348 + -344. What is the nearest to r in -1/4, -5, 2? 2 Let m(v) = 5*v - 84. Let o be m(17). What is the nearest to -2/15 in -0.5, 3, o? -0.5 Let t = -0.251 + 0.051. Which is the nearest to t? (a) -3/2 (b) -0.5 (c) -3 (d) -0.3 d Let l = -160.858 - -161. Let x = l - 0.042. Which is the nearest to x? (a) 5 (b) -5 (
{ "pile_set_name": "DM Mathematics" }
b**2 - 258 Let b(v) = 7*v - 3*v - 2*v. Let k = 10 + -7. Let y(s) = 3*s - k*s + 0*s - 4*s**2. Calculate b(y(w)). -8*w**2 Let r(o) = -1240*o + 618*o + 616*o. Let u(k) be the first derivative of 0*k + 4/3*k**3 + 0*k**2 - 1. What is u(r(t))? 144*t**2 Let q(s) be the second derivative of s**3/2 + 28*s. Let c(n) be the third derivative of n**5/6 - 9*n**2. Calculate c(q(l)). 90*l**2 Let z(g) be the third derivative of -101*g**4/24 - 49*g**2 + 1. Let b(j) = -2*j. Determine b(z(y)). 202*y Let a(j) = 103*j - 82. Let t(z) = 4*z**2. What is t(a(b))? 42436*b**2 - 67568*b + 26896 Let z(l) = 2*l**2. Let d(r) = -294*r - 852. What is d(z(t))? -588*t**2 - 852 Let b(p) = 1218*p. Let w(n) = 2*n**2. What is w(b(y))? 2967048*y**2 Let r be 0 + (8 - (-1 - 1)). Let j(h) = -r*h + 4*h + 8*h. Let g(o) = 16*o. Give j(g(m)). 32*m Let f(s) = 8*s. Let i(v) = -2473*v**2. Give f(i(n)). -19784*n**2 Let u be ((-50)/15 - -5)*2/10. Let g(p) be the third derivative of -u*p**4 + 0*p**3 - 2*p**2 + 0 + 0*p. Let x(n) = -2*n. What is x(g(s))? 16*s Let a(u) = 4*u**2. Let z(m) = -m**2 + m. Let c(v) = 10*v**2 - 4*v - 35. Let d(f) = -c(f) - 4*z(f). Let b(x) be the first derivative of d(x). Determine a(b(w)). 576*w**2 Suppose 3*s + 28 = 37. Let r(v) be the second derivative of -6*v + 1/2*v**s + 0 + 0*v**2. Let k(i) = -2*i. Calculate r(k(n)). -6*n Let r(n) be the second derivative of 0 + 0*n**2 - 1/6*n**3 - 7*n. Let g(m) = 16*m**2. Calculate r(g(i)). -16*i**2 Suppose 57 = 2*a + 3*p, 5*a + p + 6 = 155. Let i = a - 26. Let k(u) = 3*u - i*u - 2*u - 9*u. Let z(b) = 2*b. What is k(z(d))? -24*d Let f(g) = -6 + 8 + 2*g - 2. Let d(i) be the first derivative of -i**3/2 + i + 4. Let t(u) be the first derivative of d(u). Determine f(t(p)). -6*p Let h(p) = 22*p**2. Let z(a) be the first derivative of -a**2 - 162. Calculate z(h(u)). -44*u**2 Let t be (6/27)/(1/9). Let b(s) = -101*s + 101*s + 8*s**2 + 15*s**t. Let l(r) = -2*r**2. Determine b(l(p)). 92*p**4 Let c(b) = -1468*b. Let g(h) = -h**2 - 4*h + 36. Let q(o) = 2*o**2 + 7*o - 63. Let f(y) = -14*g(y) - 8*q(y). What is f(c(w))? -4310048*w**2 Let a(v) = 23*v**2 - 3*v - 9. Let c(u) = -u**2 + u + 1. Let p(y) = a(y) + 3*c(y). Let i(l) = 3*l**2. Determine i(p(n)). 1200*n**4 - 720*n**2 + 108 Let m(n) = 75*n - 13. Let o(k) = 13*k - 2. Let h(w) = -2*m(w) + 13*o(w). Let b(s) = -2*s + 4*s - s. Determine b(h(v)). 19*v Let m(y) = 675*y**2. Let w(r) = 5701*r. Give w(m(t)). 3848175*t**2 Let o(t) = 312893*t + 1. Let m(v) = -2*v**2. Determine o(m(f)). -625786*f**2 + 1 Let o(k) = -15*k. Let y(t) = -4*t**2 - 34. Let w(f) = 2*f**2 + 17. Let p(g) = 5*w(g) + 2*y(g). Determine p(o(j)). 450*j**2 + 17 Let c(j) = -3*j**2. Let b(f) = f. Let x(g) = -5*g. Let i = 27 - 17. Suppose -a + 4 = i. Let p(y) = a*b(y) - x(y). What is c(p(r))? -3*r**2 Let d(p) = -p**2. Let b(a) = -28*a - 306. Let y(h) = -5*h - 61. Let c(o) = -2*b(o) + 11*y(o). Give c(d(v)). -v**2 - 59 Let r(c) = -12*c. Let w(y) be the third derivative of 11*y**5/30 - 30*y**2 - 2. Determine r(w(h)). -264*h**2 Let u(b) be the second derivative of -b**3/3 + 6*b - 26. Let z(r) = -2*r - 4. Determine z(u(j)). 4*j - 4 Let s(d) be the third derivative of -573*d**4/8 - 2*d**2 - 652*d. Let i(x) = x. Calculate s(i(m)). -1719*m Let o(a) = -18*a. Let q(j) be the first derivative of 5*j**2/2 + 179. Determine q(o(y)). -90*y Let v(p) = 9*p**2. Let g(i) = -i**2 + i - 1. Let f(w) = -3*w**2 + 29*w - 2. Let c(b) = f(b) - 2*g(b). Give v(c(z)). 9*z**4 - 486*z**3 + 6561*z**2 Let h(n) = 3*n - 7*n + n. Let c(d) be the second derivative of -5*d**3/6 + 122*d. Calculate c(h(a)). 15*a Let i be 3/(-4)*(64/6)/(-4). Let c(a) = 4*a**2 - 12*a**i + 3*a**2 + 2*a**2. Let f(u) = -4*u. Determine f(c(p)). 12*p**2 Let v(q) be the second derivative of 161*q**4/12 - 168*q. Let d(c) = 3*c**2. Calculate v(d(b)). 1449*b**4 Let f(n) = 7*n**2. Let z(c) be the first derivative of -c**2 + 85. Determine f(z(d)). 28*d**2 Let c(i) be the third derivative of 0*i - 7*i**2 + 0*i**4 + 0*i**3 - 1/60*i**5 + 0. Let x(f) be the third derivative of -5*f**4/8 - 3*f**2. Determine x(c(h)). 15*h**2 Let r(s) = -1247*s + 86. Let h(j) = -43*j + 3. Let i(c) = -86*h(c) + 3*r(c). Let o(m) = m**2. Give i(o(a)). -43*a**2 Let u(z) = -259*z**2. Let r(q) = 3*q - 13. Calculate u(r(k)). -2331*k**2 + 20202*k - 43771 Let u(f) = -f + 8. Let m(v) = -3*v - 1. Let l be m(-2). Let c be u(l). Let w(x) = -1 + c*x - 2 + 3. Let q(j) = -2*j**2. Give q(w(s)). -18*s**2 Let a(z) = -z. Let r(y) = 8*y + 671. Calculate r(a(t)). -8*t + 671 Let u(c) = -2*c**2 + 24. Let x(z) = 2*z + 81. Calculate u(x(n)). -8*n**2 - 648*n - 13098 Let l(r) = -r**2. Let w(y) be the second derivative of y**3/6 + 7*y**2 + 8*y. Let c be w(-9). Let z(b) = 17*b - 3*b + c*b. Calculate z(l(x)). -19*x**2 Let l(u) = -u**2. Let x(y) = -32*y**2 - 5*y + 5. Let k(n) = 15*n**2 + 2*n - 2. Let v(z) = -5*k(z) - 2*x(z). Give v(l(b)). -11*b**4 Let x(g) = -60508*g**2. Let q(i) = 2*i**2. Calculate q(x(t)). 7322436128*t**4 Let s(m) = 17*m. Let o(w) be the second derivative of w**6/360 + w**3/2 + 21*w. Let n(f) be the second derivative of o(f). Calculate s(n(b)). 17*b**2 Let y(m) = m**2. Let i(n) = -195*n**2 - 175315 + 175315. Give i(y(f)). -195*f**4 Let z(y) = -109*y - 98*y + 211*y. Suppose -2*b - 4*v + 17 = -3*b, 29 = 3*b + 4*v. Let o(g) = 2*g**2 + 2*g**2 - b*g**2. Determine o(z(u)). 16*u**2 Let p(y) = -431*y**2. Let k(v) = 717*v**2. Calculate p(k(x)). -221572359*x**4 Let y(b) = 4*b. Let c(n) = -39439*n. Calculate c(y(l)). -157756*l Let d(s) = 13*s - 18*s - 5*s. Let m(q) = 6*q**2. Give d(m(v)). -60*v**2 Let m(a) = -486*a**2. Let g(v) = 68*v**2. Determine g(m(k)). 16061328*k**4 Let a(u) be the third derivative of 0*u**3 + 0*u + 2*u**2 + 0 - 31/24*u**4. Let s(k) = -11*k. Let x(l) = -26*l. Let h(f) = 7*s(f) - 3*x(f). Calculate a(h(n)). -31*n Let v(l) = 3*l. Let c be -3 + 4 - (0 + -1). Suppose -10 = -5*j, -6 + 2 = c*r - 4*j. Let z(i) = 2*i**2 + 3*i**r + 0 + 0. Calculate z(v(y)). 45*y**2 Let t(h) = 2*h**2 - 2. Let x(y) = 6*y**2 - 7. Let q(v) = 7*t(v) - 2*x(v). Let u(o) = -48*o. Let c(r) = 7*r. Let d(z) = -20*c(z) - 3*u(z). Calculate q(d(p)). 32*p**2 Let y(a) = -21*a. Suppose -3*c = 12*c - 30. Let z(p) be the first derivative of 0*p + 2 - 1/2*p**c. Give y(z(d)). 21*d Let p(z) = -z**2. Let j(s) = s**2 + s. Let q be (2/(-4))/((-1)/2). Let o be j(q). Let a(g) = 2*g**2 + g**2 + 0*g**2 + g**o. What is p(a(n))? -16*n**4 Let d(k) = 5*k. Let y = -142 - -145. Let g(w) = 8*w**2 - 3*w + y*w - 9*w**2. Give g(d(n)). -25*n**2 Let j(g) = -4*g. Let t be 4/(-44) - (-45)/11. Let d(u) = t - 4 - 59*u + 66*u. What is d(j(o))? -28*o Let s(h) = -h**2. Let r(y) = -169*y**2 - 5. What is r(s(m))? -169*m**4 - 5 Let b(h) be the third derivative of h**4/8 + 3*h**3 + 12*h**2. Let p(v) = -1. Let o = 32 + -50. Let q(z) = o*p(z) - b(z). Let t(k) = -4*k. Determine t(q(f)). 12*f Let t(r) = 5*r**2. Let y(k) = -11*k**2 - 2*k + 4. Let x(u) = 32*u**2 + 7*u - 14. Let m(n) = -2*x(n) - 7*y(n). Determine m(t(j)). 325*j**4 Let g(m) = 157*m**2 - 347*m**2 + 166*m**2. Let i(j) = 2*j**2. Determine g(i(d)). -96*d**4 Let j(z) = z**3 + 9*z**2 + 6*z - 5. Let o be j(-8). Let k(n) = 8*n**2 - o + 2 + 5 + 1. Let a(y) = -y. Calculate a(k(b)). -8*b**2 + 3 Let y(u) be the third derivative of -11*u**4/6 - u**3/3 + 162*u**2. Let b(k) = -5*k. Determine b(y(h)). 220*h + 10 Let f(y) = -22*y. Let d(b) = -2*b**2 + 12. Let w(c) = c**2 - 6. Let p(z) = 3*d(z) + 7*w(z). Let j(q) be the first derivative of p(q). Determine f(j(g)). -44*g Let z(d) = d. Let o(w) be the first derivative of 5*w**2 - 6*w - 104. Calculate z(o(s)). 10*s - 6 Let d(w) = w**2. Let a(b) = -77*b**2 + 7 - 6 + 156*b**2 - 82*b**2. Calculate a(d(q)). -3*q**4 + 1 Let d(h) = -2*h. Let t(v) = -2518*v**2. Give d(t(w)). 5036*w**2 Let b(x) = -12*x**2 + x. Let s(l) = 603*l. Give b(s(f)). -4363308*f**2 + 603*f Let k(c) = -7*c + 1248. Let v(p) = p. Calculate k(v(i)). -7*i + 1248 Suppose -2 = -13*c + 12*c. Let k(r) be the first derivative of -8 + 4 + 8 - 3 - c*r**2. Let t(u) = 4*u**2. Give k(t(w)). -16*w**2 Let f(z) = 4*z**2. Let x(n) = -63*n - 1023. What is x(f(b))? -252*b**2 - 1023 Let x(p) = -235*p + 41. Let k(y) = 117*y - 21. Let f(l) = -5*k(l) - 2*x(l). Let c(j) = 19*j - 4. Let q(o) = -23*c(o) - 4*f(o). Let s(b) = b. Give q(s(r)). 23*r Let f(q) be the third derivative of
{ "pile_set_name": "DM Mathematics" }
570)/76 + 2/4. Let u(n) = -n**3 - 7*n**2 - 5*n - 4. Calculate the remainder when u(q) is divided by (2/3)/(2/24). 7 Let y = -17 + 22. Suppose 2*x + d - 50 = -12, -y*x + d + 109 = 0. Let s = 280 + -156. Calculate the remainder when s is divided by x. 19 Let j = 12114 + -6776. Calculate the remainder when j is divided by 30. 28 Let d(k) = 1006*k + 1031. What is the remainder when d(3) is divided by 150? 149 Calculate the remainder when (-2584)/(-10) + ((-256)/40 - -7) is divided by 3. 1 Let o(y) = 2*y - 17. Let f(n) = 3*n - 35. Let u(w) = -6*f(w) + 10*o(w). What is the remainder when 688 is divided by u(-5)? 28 Let g(c) = -4*c. Let f = -1157 - -2962. Suppose 20*v - v = f. Calculate the remainder when v is divided by g(-6). 23 Let m(d) = d**3 + 32*d**2 - 70*d - 49. Let x = 563 - 452. What is the remainder when x is divided by m(-34)? 16 Let n = -10165 - -10309. What is the remainder when 210 is divided by n? 66 Suppose 50*w = 46*w - u + 769, -4*u - 55 = -11. Let j(z) = z**3 + z**2 + z + 2. What is the remainder when w is divided by j(3)? 31 Let z(r) = 4*r**2 + 10*r + 7. Let l be z(-6). Let f = 13 + l. Suppose 131*g - 1830 = 9*g. Calculate the remainder when f is divided by g. 14 Suppose 5*k + 16*c - 1451 = 43*c, 4*k - 3*c - 1105 = 0. Calculate the remainder when 1621 is divided by k. 251 Suppose -x - 9*x = -1750. Let j = x - 146. Suppose m = 3*o - 64, -3*o - 3*m + j + 19 = 0. What is the remainder when o is divided by 7? 6 Let l = -175 - -127. Calculate the remainder when 203 is divided by 34 + l/6 - -4. 23 Let l be ((-2 + -10)*4/6)/(-2). Suppose 6*a + 12 = g + a, -l*g - 5*a + 148 = 0. Let o = -7 + g. What is the remainder when 147 is divided by o? 22 Let h = -1323 + 1348. Suppose 143 = 2*n - 5*u - 88, 0 = -2*u - 10. Suppose -4*p + n = 3*k + h, -p = -4*k - 10. Calculate the remainder when p is divided by 14. 4 Let v = -508 - -349. Let w = v + 180. Calculate the remainder when 79 is divided by w. 16 Let v = 16609 + -16548. Suppose 88 = 3*u - u. Calculate the remainder when v is divided by u. 17 Let t be 3*(-20)/15 - 3. Let v(y) = 2*y + 15. Let l be v(t). Calculate the remainder when 20 is divided by 0 + l - (-90)/9. 9 Let x = -184 - -187. Suppose 0 = 3*w - 3 - x, 176 = 2*v - 2*w. Calculate the remainder when v is divided by 31. 28 Let n = -28 + 380. Suppose n = -12*t + 34*t. What is the remainder when 79 is divided by t? 15 Let g = 21 - 11. Let l(d) = -2*d + 16. Let y be l(6). Suppose f - 4*f = 5*p - 222, y*f - p = 319. Calculate the remainder when f is divided by g. 9 Let z = 743 - 509. Let x = z - 220. Calculate the remainder when 124 is divided by x. 12 Let s be (-4)/((-14)/7) - -2. Suppose 83 = z - 2*y, -z + 4*y = -s*z + 289. What is the remainder when z is divided by 8? 3 Let m(x) = -x**2 + 8*x + 9. Let j be m(7). Let s = -12 + j. Let w = 11 - s. Calculate the remainder when 12 is divided by w. 5 Suppose 26*s - 7*s = 4256. Calculate the remainder when s is divided by 212. 12 Let m(u) = 33*u + 216. What is the remainder when 5074 is divided by m(-6)? 16 Suppose 32*u - 134 = 570. What is the remainder when 3161 is divided by u? 15 Suppose 88*g + 63*g = 67*g + 3192. Calculate the remainder when 103 is divided by g. 27 Suppose 6*p - 295 = p. Suppose -2196*k + 2428*k - 5228 - 5316 - 1752 = 0. Calculate the remainder when p is divided by k. 6 Suppose -193*i + 19835 = -182*i - 11251. What is the remainder when i is divided by 11? 10 Suppose -m = 0, 4*x - m + 5*m = 1420. Suppose -11*y - 91 = -x. Calculate the remainder when y is divided by 12. 0 Let f be 4*-12 + 0/(-3). Let k = f + 44. Calculate the remainder when 204 is divided by 2 + 21/k*(1 + -5). 20 Let m(p) = 4*p - 29. Suppose 4*x - 1 = -t, -7 = 2*x - 3*x + 2*t. Let q(f) = 12*f**2 + 2*f + 1. Let j be q(x). What is the remainder when 88 is divided by m(j)? 26 Suppose x = 4*x - 81. Let h = x - -16. Let q(o) = o**3 + 11*o**2 + 11*o + 144. What is the remainder when h is divided by q(-11)? 20 Suppose 3712 = 5*u - 4*i, 2*u - 5*i = -2*i + 1482. What is the remainder when u is divided by 9? 6 Let g(d) = 11*d - 32. Let k(l) = -22*l + 64. Let u(t) = 13*g(t) + 6*k(t). Let x = -5 + 11. What is the remainder when u(x) is divided by 12? 10 Suppose 5*p - 101 = -56. Suppose -5*i = 10, 5*i = -l + 2 + 5. What is the remainder when (2/4)/(p/1062) is divided by l? 8 Suppose -68 - 7 = -25*k. Suppose 15*s + k = 18*s, s - 99 = -w. What is the remainder when w is divided by 33? 32 Let x(o) = -14*o + 1506. Calculate the remainder when x(13) is divided by 43. 34 Suppose 83*v + 41*v - 203392 = -54716. Calculate the remainder when v is divided by 7. 2 Suppose -4*k + 1270 = -902. Let t = 902 - k. Calculate the remainder when t is divided by 24. 23 Let a be (42/(-10))/(-7)*90. Suppose a = 4*c - 5*q, -c = -q - 18 + 5. Calculate the remainder when 16 is divided by c. 5 Suppose o = -4*p - 426, -3*o - 6*p + 2*p - 1286 = 0. Let s = -393 - o. Calculate the remainder when 138 is divided by s. 27 Let t = 67 + -36. Let c = 33994 + -33982. What is the remainder when t is divided by c? 7 Suppose -2 = 18*z - 16*z. Let q be ((-3)/z)/((-10)/(-50)). What is the remainder when (48/q - -2)/((-1)/(-5)) is divided by 15? 11 Let o = -4 + 25. Let g(u) = 15*u - 5. Let m be g(-16). Let r = -164 - m. Calculate the remainder when r is divided by o. 18 Let k(o) = o**3 + 39*o**2 + 48*o - 87. What is the remainder when k(-36) is divided by 12? 9 Let d(g) = 39 + 13 - 13 + 15 - 16*g + g**2. Calculate the remainder when 266 is divided by d(15). 32 Let g(c) = 2*c**2 + 29*c - 28. Let v be g(1). Suppose 0 = v*y + 2*w - 107, y - 6*w + 3*w = 32. Calculate the remainder when y is divided by 4. 3 Suppose -2*l = 8*i - 4298, -4*i - 1692 - 417 = -l. What is the remainder when l is divided by 11? 6 Suppose 0 = 11*g - 15*g + 44. Suppose -3*n = -2*q - 170, -4*q = 30*n - 32*n + 124. What is the remainder when n is divided by g? 10 Let s = 26 + -17. Suppose 5*o - 3*h + 10 = 0, -5*o + h - 3 = -3*o. Let u(n) = 33*n - 1. What is the remainder when u(o) is divided by s? 5 Suppose 0 = 3*y - 224254 + 224152. What is the remainder when (-61)/(1 + (-6)/5) is divided by y? 33 Let v(f) = -7*f - 2. Let s = 7912 + -7871. What is the remainder when s is divided by v(-3)? 3 Let x(f) = -f**3 + 14*f**2 - 11*f - 22. Let t be x(13). Suppose 5*g + 4*y = -0*y + 2386, t*g - y - 1913 = 0. Calculate the remainder when g is divided by 30. 28 Suppose 3 = 3*h - 4*w, 3*w - 26 = -4*h + w. Suppose -s - n = s - h, -3*n = 2*s - 7. Suppose 22 = s*g - 72. Calculate the remainder when g is divided by 8. 7 Let c(v) = -v + 13. Let t = -71057 - -71159. Calculate the remainder when t is divided by c(0). 11 Let j = 99 - 101. Let g be (-4)/12 - (j - (-2)/(-6)). Calculate the remainder when g/(10/1) - (-2970)/25 is divided by 62. 57 Suppose 5*f = 3*v - 5939, -56*f = 3*v - 55*f - 5969. Calculate the remainder when v is divided by 83. 79 Let a = 48 - 43. Suppose -5 = -6*w + a*w. Suppose 5*d + 10 = -0, 0 = w*i + 3*d - 334. What is the remainder when i is divided by 14? 12 What is the remainder when (1 - (9 - (-620)/(-70)))*497 is divided by 33? 30 Suppose -80*y + 7872 + 75 = 1227. Calculate the remainder when 823 is divided by y. 67 Suppose -21 = -2*u - 87. Let q = u - -81. Suppose 4*f + 19 = 119. What is the remainder when q is divided by f? 23 Suppose 0 = 3*o + o - 36. Calculate the remainder when -18*(1197/(-42) + 27) is divided by o. 0 Suppose 56 = 3*b + 2. Calculate the remainder when ((-2893)/789)/(55/(-1740)) is divided by b. 8 Suppose -219 = -20*x - 19. Suppose -4*r - 5*t + 61 = 0, -2*r + 4*t = -7*r + 83. What is the remainder when r is divided by x? 9 Let r be 2*(191/4)/(7/(-28)). Let k = 427 + r. What is the remainder when k is divided by 5/(25/(-6))*-10? 9 Let p(u) = 2*u**2 + 5*u - 4. Let b(j) = 31*j**2 - 96*j + 3 + 187*j - 85*j. Calculate the remainder when b(2) is divided by p(4). 43 Let j(w) = -68*w - 2240. What is the remainder when 2657 is divided by j(-35)? 137 Suppose -2876 = -7*t - 42 - 377. Calculate the remainder when t is divided by 135. 81 Suppose 97 = -3*f + 2*g, -11*f + 12*f - g + 33 = 0. Let y = f - -46. Calculate the remainder when y is divided by 4. 3 Let v(y) be the second derivative of 4*y**3 + y**2 - 35*y. Let j be v(7). Suppose 5*g + 0*g - j = 0. Calculate the remainder when
{ "pile_set_name": "DM Mathematics" }
g(-7). Which is the biggest value? (a) 6 (b) s (c) 0 a Suppose 2*w - 4*t - 76 = 0, t + 3 = -0*t. Let p = -8687/248 - -90/31. Let f = w + p. Which is the biggest value? (a) 0.5 (b) 2 (c) f b Let p = 400.1 - 400.2. What is the fourth biggest value in -4, 0, p, 31? -4 Let k = -2/247 - -751/1235. Let n = -71 + 74.6. Let f = n + 0.4. Which is the fourth smallest value? (a) 8 (b) k (c) -2/9 (d) f a Let l = 19374 - 19375.9842. Let u = l - 0.0158. What is the third biggest value in u, 0.08, 0.1? u Let m = 495.3 - 20.7. Let x = m - 475. Which is the second smallest value? (a) 2/3 (b) x (c) -57/2 b Let m = -2257.3 - -2257. Let j(u) = u**2 + 8*u + 5. Let z be j(-8). Which is the fourth smallest value? (a) m (b) z (c) 0.2 (d) -1 b Let r = 20.137 - 20.537. What is the third biggest value in 5/2, -0.2, r, 115, -3? -0.2 Let b = 28522/7 + -4074. What is the fourth smallest value in 8, b, 2, 3, 4? 4 Let d = 0.696 + -0.496. What is the third smallest value in -2, d, 3, 2, -3? d Let j = -32612 + 32616. Which is the biggest value? (a) j (b) -1 (c) -1/2 (d) -2 a Let g = -9652 - -8819.8. Let r = g - -828. What is the second biggest value in 0.1, r, 0.3? 0.1 Let r(z) = 3*z + 5. Let u be r(3). Suppose -40 = -4*g - 64. Let h be u/21*((-9)/g - 2). Which is the biggest value? (a) -2/25 (b) h (c) 4 c Let x = 0.9 - 0.4. Let w = 958 - 1600. Let p = -633 - w. Which is the third biggest value? (a) x (b) -4 (c) p b Suppose 0 = -4*s, 4*s + 3 = v + 8. Let d = 1.4382 + -1.8382. What is the biggest value in -151, d, v? d Let v = 0.9 + -1. Let m = -0.519 + 0.019. What is the smallest value in v, 1/7, m? m Let n = 1786.3 + -1786.6. Which is the third smallest value? (a) -5/72 (b) n (c) -1/3 a Let l be 1 + -7 + 9352/2142. Let y = l - -24/17. What is the third biggest value in 0, -2.3, 0.3, y? y Let r = 284.6 - 304.6. Which is the biggest value? (a) r (b) -3/2 (c) -0.3 c Let p = -27771 + 27768. Let x = 5 - 0. Which is the second smallest value? (a) 3/2 (b) x (c) p a Let o = 4 + -4.25. Let x = o - 4.75. Let r be (1/5)/(4/10). What is the third biggest value in -2/35, x, r, 0? -2/35 Let o = -364 + 82. Let w = -281.9 - o. What is the second biggest value in w, -6, -3/11, 2/13? w Let y = 1/133 + 6/133. Let p = -4.9 - -2.9. What is the third biggest value in 1, y, -0.5, p? -0.5 Let w = -0.5156 + 4.5156. Let q = -1133/5 - -228. Which is the smallest value? (a) w (b) -5 (c) q b Suppose -65*u + 68*u - 3*g = 12, 4*u = -3*g - 12. What is the third biggest value in u, -1/3, 3/5? -1/3 Let u = -0.40161 + 0.10161. Which is the fourth smallest value? (a) -4/17 (b) 4 (c) -1/6 (d) u (e) -4/11 c Let u = 5.7 - 6. Let s = -2402 + 1686. Let p = 715.91 + s. Which is the fourth smallest value? (a) p (b) 0.3 (c) u (d) 1/4 b Let q be (-2)/(-5) + 16/(-37 - -21). What is the biggest value in q, 0.1, -442? 0.1 Let u = -265 - -223.2. Let h = u + -0.2. Let j = h + 42.3. What is the third smallest value in j, -5, 0? j Let v be -22 - 788*(-2)/72. What is the second smallest value in v, -3, 0.4, 0.1? v Let q = -0.1 - 0.2. Let i = q - 0. Let z = 6946 + -6946. Which is the third biggest value? (a) 11 (b) i (c) z b Let w = -0.363 - 0.037. Let q = 2.1 + -1.9. Suppose -44 = -7*s - 37. What is the biggest value in 7, s, w, q? 7 Let y(u) = -19*u - 38. Let p be y(-2). Which is the fourth smallest value? (a) p (b) -15 (c) 0.2 (d) 5 (e) -0.4 c Let n = 2 - 7. Let j = -5524 + 5539. Which is the biggest value? (a) -3 (b) n (c) j c Let y = -7 - -5. Let c(w) = -2*w**2 + 104*w - 556. Let l be c(46). What is the fourth biggest value in l, -6, -1, y? -6 Suppose -11 = 8*i - 75. Suppose 0 = -20*j + i + 12. Which is the third biggest value? (a) 5 (b) 12 (c) j c Let z(l) = -l**3 - 6*l**2 - 6*l - 14. Let o be z(-6). Let r = -25 + o. Let h be 2/r*6/14. Which is the second smallest value? (a) 0 (b) -2 (c) h c Let w = 66.68 - 66.48. Which is the second biggest value? (a) -3.5 (b) 1/12 (c) -2/3 (d) 1 (e) w e Let i = 0.7469 + -0.0129. Let g = i - 0.234. Which is the second smallest value? (a) g (b) 2/9 (c) 2.6 a Let u = 41.21 + -0.21. Let w = -37 + u. Let j be ((-48)/(-44) - 1)*6*-1. Which is the third smallest value? (a) 1 (b) j (c) w (d) 2/9 a Let o be ((-32)/(-2))/8*2/(-5). Let g be (1/(-2))/(1/12). Let s be 3/(-2)*(-1)/g. Which is the biggest value? (a) o (b) 1/6 (c) -4/7 (d) s b Let x(g) = 6*g - 8 - 10*g + 2*g + 3*g. Let q be x(5). Let i = q + 8. What is the smallest value in i, -1, 3? -1 Let o = 26.013 - 29.013. What is the smallest value in 598, -0.06, o? o Let w = -109.107 - -109. Let f = -0.093 + w. What is the third biggest value in -2/9, -10, f? -10 Let h = -1312 - -879. Let n = h - -433.14. What is the smallest value in n, 0.2, 8? n Let y be 31/(-6 - (1 - 3)). Let h = y + 8. Let f = -5.25 + 0.25. Which is the second smallest value? (a) -2 (b) h (c) f a Let m = -60.4 + 65. Let h = m - -1. Let d = h - 6.1. Which is the third biggest value? (a) d (b) 0 (c) -1/6 a Let u = 4393 + -4396. Which is the fourth smallest value? (a) 0.2 (b) -0.5 (c) 10 (d) u c Let a = -97 + -54. Let x = 148 + a. What is the fourth smallest value in -3/7, 2/27, x, -1/5? 2/27 Let g = 2132.2 - 2132. Which is the second smallest value? (a) g (b) 68 (c) -2/3 a Let c(w) = -4*w**2 - 3*w + 4. Let d be c(2). Let g be 3*(d/24 - -1). What is the second smallest value in 0.3, 5, -0.02, g? 0.3 Let i be (8/6*36/(-96))/((-2)/(-5)). Which is the third biggest value? (a) i (b) -3 (c) 0.04 (d) 0.1 a Let v = 5 - 4.99. Let x = -37 - -34.34. Let k = -0.66 - x. Which is the smallest value? (a) 1/7 (b) v (c) k b Let z = -54/185 + -4/37. Let a = -9.4 - -26.4. Let s = a - 19. What is the fourth biggest value in s, z, -1, -0.1? s Let j be (7/((-315)/(-6)))/(112/2163). Let z = -19/8 + j. What is the third smallest value in z, 2/3, -0.4? 2/3 Let p = -697.243 + -1.457. Let z = 699 + p. Which is the fourth smallest value? (a) z (b) 6 (c) 3 (d) 1 b Suppose 2*t - 42 = -5*x - 11, 0 = 15*x - 105. Let v be -2 + ((-54)/10)/(-3). Which is the second smallest value? (a) v (b) -4 (c) t c Let w = 0.3 + -0.2. Let o = -18579.93 + 18794. Let l = o + -214. What is the second smallest value in w, -1/7, l? l Let p = 68207.6 + -68208. Let j = -2/45 - 118/1395. Which is the biggest value? (a) j (b) p (c) -1 a Let c(i) = 62*i**2 - 2*i + 4. Let p be c(1). Suppose p*u - 65*u = -5. What is the third biggest value in -5, 0, -3, u? -3 Suppose 5*o + 3*a - 24 = 0, 9*o - 3*a = 5*o + 3. What is the second smallest value in o, -1/2, 3200? o Suppose -3*t + 36 = -2*p, -26*t = p - 29*t + 27. Let c = 4.03 + -0.03. What is the third smallest value in c, p, 0.5, -0.5? 0.5 Let h(r) = r**2 + r. Let z(m) = -m + 43. Let w be z(0). Let u = w + -42. Let i be h(u). Which is the biggest value? (a) -11 (b) i (c) -4 b Let v be 220/(-285) - 16/(-152). Which is the second smallest value? (a) -57/8 (b) 2 (c) v (d) 1/10 (e) 1 c Let w = 249 + -374. Let y = w + 1001/8. Which is the third biggest value? (a) -0.04 (b) y (c) -3 c Let b be 60/(-10)*3/(-2). Let j be 2/b - (-6090)/783. What is the second biggest value in j, 3/5, -0.01? 3/5 Let p = -419161/1510 - -1388/5. Which is the third smallest value? (a) 2 (b) p (c) 2/5 a Let w = 48 - -86. Let f = w - 3084/23. Which is the third smallest value? (a) 0.3 (b) 1/4 (c) 0.2 (d) f b Suppose -135 + 123 = 3*d. Let p = -153/2 - -78. Let h = 1.7 - -0.3. Which is the second biggest value? (a) h (b) p (c) d b Let m = 156.5 - 156. Let u = -113.6 - -103. Let b = u - -11. What is the third smallest value in -1, -3, m, b? b Let m = -96.88 + 102.113. Let w = 0.233 - m. What is the second smallest value in -47, 3/4, w? w Let b be (-2)/(-8) + (-6)/56. Let c be -3 + 11 - (-8)/30*3190/(-116). Let a = -1 - -0.8. What is the fourth biggest value in b, a, -0.8, c? -0.8 Let s = -1876 - -1875. Which is the biggest value? (a) -0.04 (b) 1 (c) 0.011 (d) s b Let y be (7/3 - 1)*-3. Let z = -74 - -77. Suppose -2*m + u + 11 = 0, z*u + 23 = 2*m - 2*u. Which is the biggest value? (a) y (b) -2 (c) m c Suppose -9*v = -8*v + 4*x + 2208, 2*v - x = -4398. Let p be 52/(-182) - v/7602. What is the third biggest value in p, 0.4, 0? 0 Let o = -0.3214 + 0.8214. Let d = 0.69 + -6.69. Let g = 15
{ "pile_set_name": "DM Mathematics" }
- 37/14. 42 Let b = 407339/24 + -16978. Find the common denominator of b and 13/96. 96 Let s = 19 - 14. Suppose -s = v - 6. Calculate the lowest common multiple of v and 9. 9 Calculate the lowest common multiple of 56 and (32/(-5))/((-18)/225). 560 Let n be (0 + 8/(-2))*-142. Calculate the common denominator of 23/18 and 33/(-88)*n/(-42). 126 Let o be 10*(-197905)/(-220) - (4 + -1). Let l = o + -8995. What is the common denominator of l and -71/2? 22 Let k(f) = 5*f - 42. Calculate the smallest common multiple of k(18) and 20. 240 Calculate the least common multiple of 117 and -1 + 62 - (-185 - -181). 585 Let s = 82 - -8. Calculate the smallest common multiple of 10 and s. 90 Let m = -222 + 321. Suppose 2*k = -0*k + 24. Find the common denominator of m/(-8) - (k - 14) and 11/20. 40 Find the common denominator of 59/12 and 14286/2760 + -5 - 3/5. 276 Let h be -1 + 1 + 1 + 17. Suppose -5*q + 10*q + p = 0, 2*q + h = -4*p. What is the common denominator of (q/8)/((-8)/(-52)) and 53/10? 80 Let t = 70 + -20. Calculate the least common multiple of 55 and t. 550 Let k = 7527 + -248437/33. What is the common denominator of 14/420 + (3 - 4) and k? 330 Let h = -1255953/250 + 5024. Calculate the common denominator of h and 0. 250 What is the smallest common multiple of (-2 + 27)*(-10 - -9)*-2 and 22? 550 Find the common denominator of (9 - 749/84)/(15/(-143)) and -21. 180 Let t be (1/197)/(1/12). Let b = 14309/1182 + t. Let w = 2215 + -8797/4. Calculate the common denominator of w and b. 12 Let d = 11719625/24 + -488153. Let c = d - 1007/6. Find the common denominator of -23/64 and c. 64 Let v = 37/3157 - 1453405/3157. Let b = -81959/176 - v. Calculate the common denominator of (3/(-20))/((-96)/3904) and b. 80 Let v be 9*(2/8 + (-2)/(-24)). Suppose -2*r + v*t = -2*t - 80, 68 = 2*r - 2*t. Calculate the least common multiple of r and 18. 90 Let q = 6602 + -118763/18. Calculate the common denominator of q and -137/54. 54 Let f be 14/(-21) + 3/(3942/(-25205)). Let u = f + 10/657. Calculate the common denominator of -91/12 and u. 12 Let y = -24 - -14. Let q = y - -10. Suppose q = -0*t - 2*t + 22. Calculate the smallest common multiple of 6 and t. 66 Let a be 1799*(4 - 57/15). Let c = a - 6941/20. Find the common denominator of c and (-4)/(-10) + 831/(-90). 12 Let j(s) = -s**3 + 18*s**2 - 4*s - 3. Let q be j(7). Let m = -4/2287 + 107649/91480. What is the common denominator of q/(-40)*10/12 and m? 120 Suppose -27 - 53 = -4*b. Let n = b - 8. Calculate the least common multiple of 12 and n. 12 Let f = -232/63 + -1130/63. Let r = -1975/84 - f. Find the common denominator of 45/8 and r. 56 Calculate the smallest common multiple of 51 - 9/((-72)/32) and 35. 385 Let k = -3 - -7. Let n be 2/(-6 - 236/(-40)). Calculate the lowest common multiple of 1*-1 - (-27 - n) and k. 12 Suppose -50 = 10*u - 10. Calculate the smallest common multiple of 10 + (3 + u - (-1 - 0)) and 12. 60 Suppose 2*q + 8 = 3*w + 2, -2*q + 8 = 4*w. Let c(l) = 7*l**2 + 2*l. What is the least common multiple of c(w) and 36? 288 Let b = -261/5 - -2597/50. Calculate the common denominator of 73/30 and b. 150 Suppose 50 = 4*x - 3*w, 3*x + 2*w - 14 - 15 = 0. Suppose -5*v + 4*p + 77 = 0, 8*v - 70 = 4*v - p. Let m = v - x. Calculate the least common multiple of 8 and m. 24 Suppose -26 = 28*s - 41*s. What is the least common multiple of s and 9? 18 Let c(j) = 5*j - 13. Calculate the smallest common multiple of c(7) and 92. 1012 Let u = -169620 - -670023/4. Suppose -11030 = 4*i - 2522. Let l = u - i. Calculate the common denominator of l and -20/11. 44 Suppose 52 + 0 = -4*q. Let n(h) = -h - 17. Let s be n(q). Let p = s + 14. What is the common denominator of p and -5/4? 4 Let p = 98 - 78. Let a(d) = d**3 - 19*d**2 - 20*d + 15. What is the smallest common multiple of a(p) and 24? 120 Let n = -480389/172 - -2793. Calculate the common denominator of 143/6 and n. 516 Let p(k) = -k**2 + 16*k + 5. What is the lowest common multiple of 20 and p(9)? 340 Calculate the common denominator of (((-13)/(-6))/(-13))/(220/(-1551)) and 27/40. 40 Let b(o) = 55375*o**3 + o**2 - 8*o - 3. Let s be b(-5). Let h be s/270 + 10/25. Let d = h - -25628. Find the common denominator of 37/14 and d. 126 Suppose 2*w - 2 = -l, -2*w - 10 = -3*w - 5*l. Suppose w = -4*p + 2 + 6, 5*x - 4*p = 112. Calculate the smallest common multiple of 15 and x. 120 Let k = 2/12295 + -799183/49180. Let r be (-164836)/(-252) + (0 - 5). Let n = 656 - r. What is the common denominator of n and k? 36 Let h = 40945/11 - 3725. What is the common denominator of (1 + 1 - 56/32)*73 and h? 44 Let p(s) = -3*s + 7*s**2 + 6*s**3 - 6 - s**2 - 3*s**3 - 2*s**3. Let w be p(-6). Let o(i) = -i**2 + 12*i + 1. What is the least common multiple of 4 and o(w)? 4 Let x = -13 + 22. Let l = x + -3. Find the common denominator of -21/4 and l/(-21) + 11/14. 4 Let t = -55555/16436 + -15/1174. Find the common denominator of t and 370/(-56) - 1/(-4). 28 Let f = -162 - -174. What is the lowest common multiple of 10 and f? 60 Suppose -6 = -o - 3. Suppose 0*z = o*z - 9. What is the smallest common multiple of 42/11 + 94/517 and z? 12 Calculate the common denominator of (-30)/(-75) - ((-254)/(-20) - 2) and 55/2. 10 Let j(q) = 2*q**3 + 16*q**2 - q - 7. Let o be j(-8). What is the common denominator of 5/8 and (180/(-176) + o)/(1/(-90))? 88 Let b = 782994 - 12533483/16. Let h = -348 - b. What is the common denominator of h and 1/(-2 - 1184/(-580))? 48 Let x be ((-2)/2)/((-3)/(-6)). Calculate the common denominator of x/(-3) - (-57)/(-126) and (-508)/96 + 5 - (-1)/4. 168 What is the common denominator of -73/268 and (101/(-18))/((-4)/3 + 2)? 804 Let d be 35/10 + 3/(-6). Suppose 2*l - 20 = -d*l. What is the least common multiple of 2 and l? 4 Let f(p) = p**3 + 5*p**2 - 6*p + 6. Suppose 20 = 4*m - 0*m. What is the lowest common multiple of f(-6) and m? 30 Let b = -1915 + 1935. Calculate the least common multiple of b and 5. 20 Let c = -22145/70422 - -1/35211. Calculate the common denominator of -29/2 and c. 194 Let p = -1166333/1919 + 11574/19. Let s = -16919/1212 + p. Let o = -11 + 205/14. What is the common denominator of s and o? 84 Let i = 2/863 + 69895/3452. What is the common denominator of -73/8 and i? 8 Let x(q) = q + 22. Suppose t - 40 = -47. What is the lowest common multiple of 2 and x(t)? 30 Suppose -5*q = -19 - 1. Suppose 9 = q*w - 39. What is the smallest common multiple of w and 22? 132 Let o = -6599 - -138521/21. Find the common denominator of o and -61/9. 63 Let j = -492 + 680. What is the smallest common multiple of j and 44? 2068 Let u(p) = p**2 + 9*p - 14. Let l be u(-12). What is the lowest common multiple of 14 and l/(-99) - 92/(-9)? 70 Suppose 21 = 7*r - 0. Suppose -r*m - 6 = -15. Suppose 0 = -5*z + 15. What is the smallest common multiple of z and m? 3 Let z = 44689 - 44675. Let c = -14 + 28. Calculate the least common multiple of c and z. 14 Suppose 17 = 2*o + 5. Suppose s - 4*a + o = -2, 0 = -3*s - 2*a + 18. What is the least common multiple of s and 1? 4 Let d be (-1)/4 - (-12)/48. Suppose -2*u - 3*r + 41 = d, -u + 3 = -2*r + 7*r. What is the least common multiple of 40 and u? 280 Let v = -2863 + 3138. Calculate the smallest common multiple of v and 385. 1925 Suppose -1285*j = -1271*j - 1680. What is the lowest common multiple of 90 and j? 360 Suppose -2*y - 2 = 4, 5*y + 465 = 2*i. Calculate the common denominator of (16/50)/(15/i) and ((-1)/(-4))/(8/(-20)). 40 Let d(x) = -x**2 - 21*x - 19. Let i be d(-12). Find the common denominator of i/(-164 - -1 - (-3 - -2)) and 1/10. 810 Let v be -6*(20/12 - 2). Suppose -5*w = -n - v*n - 75, -21 = -2*w + 3*n. Calculate the least common multiple of w and 18. 18 Let f be (-224)/(-20)*(-30)/4. Let q be 2/(-6) + 476/(-12). Find the common denominator of -49/10 and q/(-32)*f/(-50). 10 Calculate the common denominator of -4*9/702*(-67)/4 and 75/104. 312 Suppose 9*k + 3 = 21. Calculate the smallest common multiple of 1 and k. 2 Let m(k) = k**3 + 11*k**2 + 11*k + 2. Let a be m(-10). Calculate the lowest common multiple of 12/a*(-84)/9 and (-2)/(-8) - (56/(-32) - 6). 56 Suppose 2*m = -21*m + 368. What is the lowest common multiple of 2 and m? 16 Let a(f) = f**2 + 15*f - 13. Let l(b) = -b - 16. Let k be l(0). Suppose 5*h = -2*q + 60, 4*q =
{ "pile_set_name": "DM Mathematics" }
g**3 - 2*g**3 + 6*g**3 - 62*g**2 to i*g**2 + l + x*g + s*g**3 and give l. -4 Rearrange (2*t - 3 + 3)*(211 - 39 + 128) to the form b + i*t and give i. 600 Rearrange (16 + 4 + 4)*(-3 + s + 3)*(-3*s + 3*s - 3*s**2) to n*s**2 + q*s**3 + u*s + l and give q. -72 Express (-4 + 1 + 2)*(0*w + 0*w - w)*(-3 - 6 + 3) in the form n + m*w and give m. -6 Express -91*a - 59*a + 55*a + a**2 in the form k*a**2 + q + n*a and give k. 1 Express (4468 + 82*v**2 - 4468)*((5 - 5 + v)*(-3 + 1 + 0) + (1 + 3 - 5)*(3*v + 5*v - 5*v)) as m*v**3 + b + i*v**2 + j*v and give m. -410 Rearrange 40*v - 2*v**2 - 40*v + 19 + 32*v**3 - 31*v**3 to the form c + f*v**3 + t*v + a*v**2 and give c. 19 Express 3*b**4 - 2490 + 1244 - 16*b**3 + 3*b + 4*b**3 + 1248 in the form q*b**4 + x + n*b**3 + c*b + o*b**2 and give x. 2 Rearrange (114*s**3 - 45*s**3 - 44*s**3)*((0 + 1 - 3)*(2 + 0 - 3) - 2 - 1 + 1 - 3 - 3 + 4) to the form k*s**3 + q*s**2 + w*s + f and give k. -50 Rearrange -30*u - 3*u**3 + 32*u + 0*u**3 + 3*u**2 to b*u**2 + m*u + v + z*u**3 and give b. 3 Rearrange -13*n**2 + 12*n - 3*n**4 + 17*n - 40*n + 1 + n**3 + 10*n to l*n**4 + p*n + q + h*n**2 + a*n**3 and give h. -13 Rearrange -4*g**4 - g**2 + 9*g**3 + 307*g - 3 - 8*g**3 - 307*g to h*g**3 + k*g + i + d*g**2 + j*g**4 and give j. -4 Express (0*m + 0 + m - 1)*(31 + 7 + 11) as k + c*m and give k. -49 Rearrange 2*u**2 + u**2 + u**2 + (-2*u - 2*u + 5*u)*(-u + 0*u + 3*u) + 13*u**2 + 9*u**2 - 13*u**2 to the form t*u + v + m*u**2 and give m. 15 Express (0*i - 2*i + 3*i)*(-1 - 3 + 2) - 8*i - 15 + 15 - 2*i - 6*i + 11*i in the form t*i + l and give t. -7 Rearrange 3*s**2 + 4*s**2 - 48*s - 4*s**2 + 5*s - 4*s**2 + s**3 to the form q + t*s**2 + g*s + y*s**3 and give y. 1 Express 9 + g**4 - 4*g**3 + 9*g**2 - 9 + 3*g**3 in the form j*g + n + y*g**4 + v*g**2 + f*g**3 and give j. 0 Express (4 - 3 + 1)*((-2*t + 2 - 2)*(-3*t - t + 3*t) + (-3*t + 3*t - 2*t)*(-69*t - 12*t - 78*t)) in the form j + n*t**2 + p*t and give n. 640 Express 139*n**4 + 136*n - 136*n + (3*n**2 - 2*n**2 - 2*n**2)*(-n**2 + 4*n**2 + 5*n**2) in the form w*n + d*n**2 + q + c*n**4 + y*n**3 and give c. 131 Rearrange 8*y**4 + 6*y - 23*y**3 + 3*y - 14*y**4 + 7*y**4 - 55*y**3 to m*y + k*y**4 + n*y**2 + p + g*y**3 and give g. -78 Rearrange (0*b - 13*b + 9*b)*(-8 + 3 - 3)*(-2 - 3*b**2 + b**2 + 0) + 2 + 4*b**3 - 2 to the form w*b**3 + c*b**2 + x*b + q and give x. -64 Express -6 + 14*p**2 + 6 - p**2 + 4 - 4 + (-2*p + 2*p + 3*p)*(0*p - 3*p + p) + p**2 + 0*p**2 + 0*p**2 as y + c*p**2 + a*p and give c. 8 Express -24*m + 7 - 7 + (3 - 5 - 11)*(-2*m - 3*m + m) + 4*m - 4*m + 2*m in the form d*m + y and give d. 30 Express (5*n - 4*n + n)*(-2*n**2 - 4*n**2 + 4*n**2) + 2751*n**3 - 804*n**3 + 85*n**3 as o*n + q + c*n**3 + a*n**2 and give c. 2028 Rearrange (139 + 1828 + 2584 - 312)*(4*u**3 - u**3 - u**3) to f + j*u + m*u**3 + l*u**2 and give f. 0 Express (1123 + 200 - 196)*(-4*g + 3*g + 0*g) in the form y + q*g and give q. -1127 Express 28 + 26 - 75 + 1436*s**2 + 22 in the form v + x*s**2 + o*s and give x. 1436 Rearrange -4*n**4 + 8*n**2 - 8*n**2 + (2*n**4 + 3*n**4 - 3*n**4)*(-172 + 67 - 186) to the form x*n + i + f*n**3 + m*n**2 + b*n**4 and give b. -586 Express -3*y + 0*y - 212 + 5*y + 3*y - 2*y as l + g*y and give l. -212 Rearrange -3*a - 12*a**2 - 4*a + 19*a**2 + 13*a**2 + 23*a**2 to u + p*a + d*a**2 and give p. -7 Rearrange r + 9*r**2 - 15*r**2 - 2*r**3 - 6*r - 6 + r**2 + 7*r**2 to the form p*r**2 + j + v*r**3 + z*r and give p. 2 Rearrange 120 - 120 + 194*m**2 + (3 + 2*m - 3)*(2 - 2 + m) to the form l*m**2 + q + t*m and give l. 196 Rearrange -158*k - 27 - 22 - 28 + 78 to the form x*k + c and give x. -158 Express (-8 + 8 + 4*z)*(30 - 28*z - 30) + z**2 + 3*z - 3*z as b + d*z + l*z**2 and give l. -111 Express 3*q**3 + 4*q + 552*q**4 - 1 - 2*q - 558*q**4 in the form j*q + u*q**3 + x*q**4 + h*q**2 + m and give j. 2 Rearrange i - 1 + 1 + (-9 - 85 - 53)*(-5*i + 6 - 6) to t*i + p and give t. 736 Rearrange 2 - 19*m**2 + 27*m**2 - 74*m**2 + 3*m to j*m**2 + k*m + n and give j. -66 Rearrange (-4*j - j + 4*j)*(4*j + 5*j - 5*j) + (-2 + 0 - 7)*(-2*j**2 + 4*j**2 - j**2) to u*j**2 + d + x*j and give u. -13 Express -311*w - 33*w - 67*w as o*w + s and give o. -411 Rearrange 78*y**2 + 189*y + 0*y**3 + 189*y - 2*y**3 - 379*y to the form d*y**2 + r*y + q + f*y**3 and give r. -1 Express -2 - 4 - 10*n**2 - 7*n**2 + 17*n**2 - 3*n**3 + n in the form q*n**3 + s*n**2 + l + o*n and give q. -3 Express -2*o**3 + 6*o**3 + 16*o - 4*o**3 + 3 + 6*o**2 + 3*o**4 - 14*o in the form x*o + j*o**3 + q*o**4 + u*o**2 + f and give f. 3 Rearrange (161*g + 170*g + 194*g)*(-g**2 + 2*g + 2 + 0 - 4) to c*g**2 + f + w*g + s*g**3 and give s. -525 Express -4 - 2*j + 4 + 2 + 2*j - 2 + (5 - 5 - j)*(1 + 1 - 1) - 3*j - 9*j - j + 4*j - 9*j - j + (-j + 4*j - 2*j)*(2 + 0 - 3) as u*j + d and give u. -21 Rearrange -3*b**2 - 34*b + 6*b**2 - 9*b - 139*b - 38*b to the form g + y*b + f*b**2 and give y. -220 Rearrange 50*f + 133*f + 47*f to u*f + a and give a. 0 Express (10 - 13 - 9)*(-73 + 17*v + 73) as z + m*v and give m. -204 Express -70 + 40 + 88*c**2 + 29 as o + f*c**2 + q*c and give o. -1 Rearrange -4*f**2 + 0 + 0 + (-2 + 5 - 5)*(-3*f + 2*f**2 + 3*f) + (0*f**2 + 0*f**2 + f**2)*(4 - 3 + 0) + 2*f**2 + 0 + 0 to the form u*f + h*f**2 + t and give h. -5 Express (-2 + 0 + 4*v + 1)*(-1 + 2 - 6) as o*v + a and give o. -20 Express -2*t**4 - 765*t**2 + 762*t**2 + 0 + 3*t - 2 in the form q*t**2 + w*t**4 + m*t + o*t**3 + k and give k. -2 Rearrange (-4*o**3 - o**3 + 0*o**3)*(-213 - o - 217 + 323) to the form n*o + y*o**3 + v*o**4 + p*o**2 + z and give y. 535 Rearrange 7*t + 43*t - 1 - 20*t to the form s*t + o and give o. -1 Rearrange (-59 - 239 + 73)*(-3 + 5 - 3)*(-z + z + z) to the form o + m*z and give m. 225 Rearrange 2*n**2 + 4*n**2 - n**2 - 2*n**2 + 0*n**2 + n**2 + (0 + 0 + 2*n**2)*(2 - 1 - 2) - 8293*n + 8293*n - 34*n**2 to the form r*n + q*n**2 + i and give q. -32 Express (-50 + 44 + 4*i - 9*i)*(i - i - 3*i) as y*i + n + z*i**2 and give y. 18 Express v**2 - 30*v + v**4 + v**3 - 60*v + 37*v - 66*v as k + u*v + q*v**3 + m*v**4 + t*v**2 and give u. -119 Express (25*m - 25*m - 17*m**2)*(-m**2 + 0*m**2 - m**2) + 27*m**4 - 12*m**4 - 100*m**4 in the form b*m + w*m**4 + h*m**2 + k*m**3 + s and give w. -51 Rearrange 2 - 2 + 2*c**3 + (-4*c + 4*c + c)*(-5*c + c + 2*c)*(0 + 2 - 4)*(-12*c - 42 - 28 + 71) to x*c**3 + d + l*c + r*c**2 and give x. -46 Rearrange -1 - 5 - 3*a**2 + 8 + 4 + 3*a - 7 to p*a**2 + m + w*a and give p. -3 Express -35*n - 34*n - 74*n + (0*n + 3*n - 4*n)*(3 + 1 - 2) as z*n + g and give z. -145 Express (-2*j - 3*j + 7*j)*(5 + 6 + 44*j**2 - 48*j**2) + (2*j**2 + 3*j**2 - 6*j**2)*(2*j - 1 + 1) in the form x + f*j**3 + y*j**2 + n*j and give f. -10 Rearrange -65*b + 49*b - 37*b - 25*b - 160*b to the form k*b + y and give k. -238 Rearrange m**3 - 2 + 33*m + 9*m**3 - 11*m**3 - 44*m to the form v + l*m**3 + k*m + r*m**2 and give k. -11 Express (0 - 2*h**3 + 0)*(-1 + 2 - 2)*(2 + 10 + 6)*(0 + 1 + 2)*(-1 - 2 - 1) as s*h + c*h**3 + w + z*h**2 and give s. 0 Express (2*j + 6*j - 4*j)*(-j**2 + 0*j**2 - 2*j**2) + (-22*j + 27 - 27)*(-2*j**2 + 0*j**2 + 0*j**2) as x*j + q + t*j**2 + s*j**3 and give s. 32 Rearrange 72*u**4 + 1 - 15*u**3 + 9*u**4 + 13*u**3 to f*u**4 + r*u**2 + q*u**3 + o*u + s and give s. 1 Rearrange -265*l + 786*l - 154*l**3 - 262*l + l**2 - 259*l - 1 to g*l**3 + k*l**2 + a*l + i and give i. -1 Rearrange 11*d**3 + 240*d - 386*d + 241*d - 2*d**3 to the form m + t*d + u*d**3 + k*d**2 and give t. 95 Rearrange -8 + 318*z**2 - 845*z**2 + 7 + 1 to i*z + x*z**2 + s and give x. -527 Rearrange -13 + 317*z**2 + 0 + 13 + 313*z**2 to the form j + o*z + x*z**2 and give x. 630 Rearrange t**2 + 795*t**4 - t**3 - 1 - t**2 - 7*t**2 - 793*t**4 to w*t**2 + b*t**4 + g + y*t + c*t**3 and give g. -1 Rearrange -3 - 8 - 13 - q - 13 - 12*q**2 + 39 to y*q + u + j*q**2 and give y. -1 Express 3 + 34*j**3 - 12*j**2 + 17*j**4 + 11*j**2 - 1 - 13*j**3 - 16*j**3 in the form a + v*j**4 + q*j + n*j**3 + h*j**2 and give h. -1 Express -6*f - 41 - 43 + 33 + 25*f - 15*f in the form l*f + k and give l. 4 Express -h - h**2 + h**2 - 79*h**2 - 58*h**2 as c*h**2 + x + u*h and give c. -137 Rearrange g + 1 + 5*g + 394*g**4 - 4*g + 42*g**3 - 393*g**4 to d*g**2 + z*g**4 + p*g + m + y*g**3 and give y. 42 Re
{ "pile_set_name": "DM Mathematics" }
01*x Let b(f) = -1028*f**2. Let v(q) = 8*q + 858. Let h(m) = -78. Let y(w) = 11*h(w) + v(w). Give b(y(t)). -65792*t**2 Let k(d) = 9*d + 33. Let t(j) = -j - 4. Let l(q) = -4*k(q) - 33*t(q). Let c(i) be the second derivative of -i**3 + 16*i. What is l(c(n))? 18*n Let n(u) be the first derivative of 0*u**2 - 100 + 4/3*u**3 + 0*u. Let s(i) be the third derivative of i**4/12 - 2*i**2. What is s(n(d))? 8*d**2 Let y(s) = -s**2. Let c be (0 - 2)/(-1) - (-4)/4. Let t(q) be the second derivative of -113*q**3 + 56*q**3 - 27*q + 56*q**c. Calculate t(y(g)). 6*g**2 Let n(w) = 2*w + 88472. Let q(s) = 45*s + 2. Determine q(n(h)). 90*h + 3981242 Let f(s) = -2*s. Let i(m) = -15282*m + 3304. Give f(i(n)). 30564*n - 6608 Let u(s) = 5*s**2. Let v(o) be the second derivative of o**7/2520 - o**5/8 + 13*o**4/6 + 6*o - 8. Let c(b) be the third derivative of v(b). Calculate c(u(h)). 25*h**4 - 15 Let d(x) = 110*x - 9. Let q(n) = -303*n - 6. Let w(t) = 555*t + 11. Let a(h) = 11*q(h) + 6*w(h). Determine a(d(s)). -330*s + 27 Let m(j) = 85*j. Let v(l) = -11*l - 7. Let u be 321/(-45) - (-4)/30. Let b(p) = 5*p + 3. Let f(o) = u*b(o) - 3*v(o). What is m(f(w))? -170*w Let s(y) = -274055421*y**2. Let x(n) = -3*n**2. Determine s(x(q)). -2466498789*q**4 Let c(i) = 32*i**2. Let j(u) = 49*u - 6. Let a(g) = 59*g - 7. Let t(v) = 5*a(v) - 6*j(v). Determine t(c(b)). 32*b**2 + 1 Let k(t) be the second derivative of t**3/6 + 5*t - 256. Let u(f) = 2*f**2 + 55. Give k(u(r)). 2*r**2 + 55 Let w(k) = 16*k. Suppose -n + 52 = -3*a, 2*n + 5*a - 88 = 7*a. Let b(y) = -3*y**2 - 40 + n. Give b(w(o)). -768*o**2 Let l(c) = -2*c - 5. Let t(y) = -92*y**2 + 11*y + 7. Determine t(l(h)). -368*h**2 - 1862*h - 2348 Let v(y) = -y. Let g be (-2)/1 - (-453 + -9). Suppose -19*b + 15*b = -g. Let i(r) = -r**2 - 115 + b. Give v(i(q)). q**2 Let r(y) = -4*y - 217. Let z(l) = 67*l**2 - 102*l. Determine z(r(c)). 1072*c**2 + 116720*c + 3177097 Let m(d) = 6*d**2 + 5*d. Let t(p) = 279*p - 541*p + 261*p. Calculate m(t(r)). 6*r**2 - 5*r Suppose -8 = -3*p - p. Suppose 4*g = 4*s - 4, 4*s = p*s + 5*g + 5. Let h(z) = 3*z + s*z - 2*z. Let t(f) = -2*f. Give h(t(x)). -2*x Let d(b) = 7077927*b. Let j(l) = l. What is j(d(z))? 7077927*z Let p(z) = 34*z**2. Let y(v) be the first derivative of -1/12*v**4 + 0*v**2 + 0*v**3 + 17 + 10*v. Let c(o) be the first derivative of y(o). Give c(p(b)). -1156*b**4 Let w be 85/(-5) - (28 - 49). Let f(c) be the second derivative of 0*c**2 - w*c + 0 - 5/6*c**3. Let z(b) = -3*b. Give z(f(o)). 15*o Let z(y) = 30*y**2. Let s(n) = 1 - 295*n - 4 + 300*n. Let o(i) = -24*i + 14. Let l(f) = 3*o(f) + 14*s(f). Calculate l(z(a)). -60*a**2 Let l(b) = -34*b. Let j(t) = 9 + 21 - 46 + 16 + 95*t**2. What is j(l(s))? 109820*s**2 Let n = 1532 + -1502. Let s be (-4)/(-6)*-3*-1. Let a(x) = -2*x**s + n - 30. Let u(m) = -2*m. What is a(u(p))? -8*p**2 Let s(i) = 9*i + i - 1 - 3*i + 10*i - 2*i. Let u(f) = -16*f**2. Give s(u(c)). -240*c**2 - 1 Suppose 0 = -4*a + 9 - 1. Let x(s) = 2*s - a*s + s**2. Let v(y) be the third derivative of y**5/60 - 6124*y**2. Determine x(v(h)). h**4 Suppose -2*b = -3*v - 5 - 11, 4*v + 16 = 0. Let z(c) = -24*c**2 + 44*c**2 + 70*c**2 + 2 - b. Let l(q) = -2*q. Determine z(l(a)). 360*a**2 Let r(v) be the first derivative of v**2 + 169. Let d(w) = -146*w**2. Calculate d(r(j)). -584*j**2 Let u(v) = 2*v**2. Let q(h) be the second derivative of 25*h**4/24 + h**3/3 + 56*h**2 + 4*h + 11. Let x(s) be the first derivative of q(s). Determine x(u(g)). 50*g**2 + 2 Let g(a) = -341*a. Let m(v) = 5*v**2 + 2*v - 23. What is g(m(w))? -1705*w**2 - 682*w + 7843 Let o(p) = 2*p**2 + p + 2. Let f(r) = 49*r**2 - 9*r - 18. Let l = 705 + -687. Let j(m) = l*o(m) + 2*f(m). Let y(q) = -2*q**2. Determine y(j(g)). -35912*g**4 Let c(i) = -305297*i. Let w(t) = -13*t. Calculate c(w(f)). 3968861*f Let q(h) = -9*h**2. Let n(l) = 6068511*l. Give q(n(f)). -331441431814089*f**2 Let n(p) = 2*p**2. Let c(v) = 712*v + 1276*v + 879*v. Give c(n(b)). 5734*b**2 Let c(b) = 19014135 + b - 19014135. Suppose -2*s - 1 = -5. Let x(k) = -2 + s*k + 2. What is x(c(a))? 2*a Let x(h) = -19*h**2. Let f(y) be the second derivative of 0*y**2 + 1/3*y**4 - 18*y + 1 + 0*y**3. Determine f(x(p)). 1444*p**4 Let y(i) = 6 + 18 - 40 + 5 - 9*i + 12. Let f(n) = 5*n. Calculate f(y(a)). -45*a + 5 Let s be 197/(-3546) - (-1 - (-7)/9). Let u(q) be the third derivative of 0*q + 42*q**2 + 0 + 0*q**3 + s*q**4. Let o(y) = 4*y**2. Give o(u(z)). 64*z**2 Let y(u) = -4*u**2. Let v(h) = 70618980*h. Give y(v(t)). -19948161344961600*t**2 Let b(x) = -134410076*x. Let s(g) = -g**2. What is s(b(w))? -18066068530325776*w**2 Let f(m) = 474*m. Let x(p) = -2814114 + 2814114 + 12*p. Give f(x(l)). 5688*l Let q(u) = 4*u - 259. Let n(h) = 310*h**2. Let l(m) = 619*m**2. Let o(x) = -l(x) + 2*n(x). Give o(q(f)). 16*f**2 - 2072*f + 67081 Suppose -8*j + 22 = -18. Let i(m) = -4*m + 0*m + j*m. Let o(z) = 5*z. Calculate o(i(g)). 5*g Let u(y) = -3*y. Let t(d) = 2*d**2 + 46*d + 8. Let j be t(-23). Let q(b) = -j*b**2 + 20*b**2 - 11*b**2. Give q(u(h)). 9*h**2 Let b(n) = -5*n + 6876. Let c(o) = 588*o**2 + 4*o. Determine b(c(i)). -2940*i**2 - 20*i + 6876 Let w(x) = 7*x**2. Let h(j) be the first derivative of 7*j**5/30 - 28*j**2 + 99. Let i(c) be the second derivative of h(c). Give i(w(a)). 686*a**4 Let i(k) = -3*k. Let w(m) = 15*m + 3. Let l(s) = -s**2 + 14*s - 47. Let j be l(4). Let g(f) = -7 - 29*f - 3 + 3. Let a(n) = j*w(n) - 3*g(n). What is a(i(p))? 54*p Let m(c) = 11 - 11 - 2*c. Let f(k) be the third derivative of -k**4/6 + k**2 - 465. Calculate m(f(s)). 8*s Let y(r) = -2*r**2. Let f(g) = -16592 + 8294 + 8298 + 106*g. Determine y(f(c)). -22472*c**2 Let g(i) = -29*i - 42*i - 78*i + 60*i - 5*i. Let l(r) be the third derivative of -r**4/24 + r**2. Give g(l(t)). 94*t Let d(q) = 2*q**2. Let m(f) = 6163*f**2 - 6*f + 9. Let v(n) = 12326*n**2 - 10*n + 15. Let x(y) = 5*m(y) - 3*v(y). What is x(d(h))? -24652*h**4 Let r(z) = -3*z - 126. Let i(x) = -8298*x**2 + 11. Determine r(i(s)). 24894*s**2 - 159 Let z(q) be the first derivative of -3*q**2/2 - 1252. Let p(o) = -367*o. Calculate z(p(a)). 1101*a Suppose -m + 0*m + 2 = 0. Let g(q) = -4*q**2 - 14*q - m*q**2 + 21*q. Let y(z) = 3*z**2 - 4*z. Let x(n) = -4*g(n) - 7*y(n). Let v(t) = -4*t. Determine x(v(l)). 48*l**2 Let o(j) = -3*j**2. Let k(t) be the third derivative of -289*t**4/12 - 29*t**2 - 13*t. Determine o(k(p)). -1002252*p**2 Let v(y) be the first derivative of -5*y**2/2 - 1193. Let n(r) = 90*r**2 + r. Determine n(v(a)). 2250*a**2 - 5*a Let c(w) = 301*w**2 + 2*w - 1. Let o(z) = -z + 3. Calculate o(c(d)). -301*d**2 - 2*d + 4 Let y(a) = 3*a + 2. Let z = -166 + 170. Let v(j) = z - 4 - 20*j + 23*j. What is v(y(u))? 9*u + 6 Let w be (-988)/12 + 1 + 2/(-3). Let v = 85 + w. Let m(k) = -v*k - 411 + 10*k**2 + 411. Let u(z) = -z. Calculate m(u(g)). 10*g**2 + 3*g Let j(p) = 3*p - 2. Let a(h) = 104*h - 72. Let k(q) = -2*a(q) + 72*j(q). Let r be 2/(-6) - -1 - 130/(-30). Let y(f) = r*f + 0*f - 2*f. Give k(y(d)). 24*d Let q(k) = 2. Let r(g) = g + 5. Let b(d) = -5*q(d) + 2*r(d). Let s(i) = -4 + 12 - 209*i + 97*i + 108*i. Calculate b(s(a)). -8*a + 16 Let k(q) = 2*q**2. Suppose -2*p + 5 = 3*p. Let b = 148 + -147. Let c(t) = -6*t**2 + p - 4*t**2 - b. What is k(c(j))? 200*j**4 Let g(v) = -2*v - 1. Suppose r - 35*p + 33*p + 11 = 0, 5*p = 2*r + 27. Let t(l) = -10*l + 35. Let m(h) = r*t(h) + 6*g(h). Let z(k) = -3*k**2. Determine m(z(a)). 6*a**2 - 41 Let o(v) = -2*v**2. Let r be (-635)/(-7) - (-7)/((-196)/(-8)). Let m(g) be the third derivative of -r*g**2 + 0*g - g**4 + 0*g + 92*g**2. Give o(m(j)). -1152*j**2 Let i(m) = 3*m**2 + 18*m. Let g(k) = -k + 61. Let l(v) = -21*v + 854. Let t(o) = 14*g(o) - l(o). Give i(t(s)). 147*s**2 + 126*s Let g(m) = -79*m. Let c(a) be the first derivative of 17*a**3 + 3317. Determine c(g(u)). 318291*u**2 Let d be -4*(-26)/8*7. Let t(x) = -72*x**2 - 2 + d*x**2 + 2. Let h(l) = -4*l. Determine h(t(i)). -76*i**2 Let c(n) = 8*n**2. Let i = 4845 + -14534/3. Let u(o) be the first derivative of i*o**3 + 0*o + 0*o**2 - 33. What is c(u(m))? 8*m**4 Let w(c) = 15*c**2 + 3. Let b(m) = 3*m**2 + 1. Let q(a) = -6*b(a) + 2*w(a). Let n(o) = -3*o**2 + 18*o**2 - 8*o**2 + 14*o**2. What is n(q(r))? 3024*r**4 Let w(r) = 61*r**2 + 34*r. Let g(z) = -90*z**2 - 50*z. Let y(h) = -1
{ "pile_set_name": "DM Mathematics" }
ollect the terms in -3*i**2 - 5298690 + 5298690. -3*i**2 Collect the terms in 58 + 74 - 36 + 18 - 19*n. -19*n + 114 Collect the terms in -77*v**3 + 68*v - 326*v**3 - 138*v + 72*v. -403*v**3 + 2*v Collect the terms in 67*p**2 + 71*p**2 - 353*p**2 + 74*p**2 + 71*p**2 + 72*p**2. 2*p**2 Collect the terms in -401*g - 1072*g + 167*g + 129*g. -1177*g Collect the terms in 482*g + 487*g - 969*g - 53*g**2 + 1. -53*g**2 + 1 Collect the terms in 2*s + 30*s - 11*s + 3*s. 24*s Collect the terms in 52 + 5*o - 4*o**2 + 15 - 11*o. -4*o**2 - 6*o + 67 Collect the terms in -2 + 3 - 4*m**2 + 18*m**2 - 3*m**2 - 14*m**2. -3*m**2 + 1 Collect the terms in -23*m**3 - 565*m + 287*m + 7*m**3 + 278*m. -16*m**3 Collect the terms in z + 3021 - 263*z**2 - 3021. -263*z**2 + z Collect the terms in -109 + 8849*o + o**2 + 8845*o - 17694*o. o**2 - 109 Collect the terms in -19*f + 79*f - 33*f - 31*f. -4*f Collect the terms in -799*h + 11 - 3 + 796*h - 8. -3*h Collect the terms in 2*g**2 + 3*g + 57*g**2 - 2*g**2. 57*g**2 + 3*g Collect the terms in 8335*p**3 - 4195*p**3 - 4138*p**3. 2*p**3 Collect the terms in -1529*u - 7 + 1530*u - 2. u - 9 Collect the terms in 66 + 34818*p**2 - 32 - 34820*p**2 - 34. -2*p**2 Collect the terms in -21102*u**2 + 21104*u**2 + 3*u - 3*u. 2*u**2 Collect the terms in 12*w**2 - 4*w**3 - 12*w**2 + 241 - 241 + w. -4*w**3 + w Collect the terms in -652*p**3 + 2030*p**3 - 668*p**3 - 571*p**3. 139*p**3 Collect the terms in 25954 - 51896 - 25*v + 25942. -25*v Collect the terms in -52*o - 37*o + 150 - 150 - 4*o. -93*o Collect the terms in 28*b**3 + 1 - 91*b**3 + 55*b**3 - 1. -8*b**3 Collect the terms in -1 - 20547*p + 174*p**2 + 20544*p + 1. 174*p**2 - 3*p Collect the terms in 37*y - 79*y + 39*y - 8*y + 11*y + 6*y**3. 6*y**3 Collect the terms in -160*g**2 - 96863 + 96863. -160*g**2 Collect the terms in -6396 + 6396 + 22*f**3 + 26*f**3. 48*f**3 Collect the terms in 432 + 3*z - 19 - z - 3*z. -z + 413 Collect the terms in -16*c + 19 - 10 + 30*c - 72 - 13*c. c - 63 Collect the terms in -26568*q + 26568*q + q**2 - 10*q**2. -9*q**2 Collect the terms in 1417*m + 1954*m + 1341*m. 4712*m Collect the terms in 200*f - 66*f - 13*f**3 - 67*f - 68*f. -13*f**3 - f Collect the terms in 14*k**2 + k**2 - k**2 + 4*k**2. 18*k**2 Collect the terms in -371303*o**2 + 742622*o**2 - 371309*o**2. 10*o**2 Collect the terms in -16*s + 1225 - 1225 + 213*s**2. 213*s**2 - 16*s Collect the terms in 4*k + 82 - 332*k**2 - 82 + 111*k**2. -221*k**2 + 4*k Collect the terms in 132546051 - u**2 - 132546051 + u. -u**2 + u Collect the terms in 47171 + 47167 - a - 94404. -a - 66 Collect the terms in -855*a + 259*a + 76*a + 31*a + 239*a. -250*a Collect the terms in 5*m**3 + 464869*m + 464878*m - 30*m**3 - 929747*m. -25*m**3 Collect the terms in -49765908 - 5*j + j + 49765908. -4*j Collect the terms in -5122*g - 7030*g + 2965*g. -9187*g Collect the terms in 28*i + 2210407987 - 2210407987. 28*i Collect the terms in -g - 23131*g**3 - 2*g + 3*g + 23242*g**3. 111*g**3 Collect the terms in -21*k**2 + 0*k - 14*k + 14*k. -21*k**2 Collect the terms in 1769*j - 69265 + 69265. 1769*j Collect the terms in 302*j**3 - 2310*j + 2310*j. 302*j**3 Collect the terms in -858*u + 2568*u - 861*u - 856*u. -7*u Collect the terms in -329 + 125*f**3 + 329 + 174*f**3. 299*f**3 Collect the terms in 43*s**3 - 18*s**3 - 21*s**3 - 22*s**3 + 6*s**3. -12*s**3 Collect the terms in 945 - 948 - 8*x + 2*x**3 + 8*x. 2*x**3 - 3 Collect the terms in 323*u - 477*u + 154*u - 2*u**2. -2*u**2 Collect the terms in 484*r - 961*r - 9 + 9 + 480*r. 3*r Collect the terms in 12201*g**3 + 12211*g**3 - 24413*g**3. -g**3 Collect the terms in -134427*n + 0*n**2 - 655 + 655 + 134427*n - n**2. -n**2 Collect the terms in -b - 7*b - 2020*b**3 + 8*b. -2020*b**3 Collect the terms in -37*n**3 + 135*n**3 - 28*n**3 - 71*n**3. -n**3 Collect the terms in 24*c**3 + 2*c + 34*c**3 - 60*c**3 + c - 3*c. -2*c**3 Collect the terms in -18 + 25*a**2 + 18 + 54*a**2. 79*a**2 Collect the terms in -25385*t**3 + 15586*t**3 + 52640*t**3 + 40246*t**3. 83087*t**3 Collect the terms in 535 - 189 - 167 - 179 + 5*r**2. 5*r**2 Collect the terms in 127*v + 41*v - 2 + 65*v. 233*v - 2 Collect the terms in -10*j**2 + 43*j + 3*j**2 + 9*j**2 - 43*j. 2*j**2 Collect the terms in -5*o**3 - 501 + 3*o**3 + 100 + 3*o**3. o**3 - 401 Collect the terms in -5*r**2 + 1659688*r - 1659688*r. -5*r**2 Collect the terms in 533985949 - 533985949 + 4*k. 4*k Collect the terms in 39 + 42*h**2 - 38*h**2 - 20 - 26. 4*h**2 - 7 Collect the terms in -200 - 201 + 6*s + 4*s + 402. 10*s + 1 Collect the terms in 54 - 69 + 15 - 249*s - 187*s. -436*s Collect the terms in 2*f**2 + 210 + 160 - 356. 2*f**2 + 14 Collect the terms in 3*l - 18743405851 + 18743405851. 3*l Collect the terms in -2*b**3 + 291*b**2 - 416*b**2 + 125*b**2. -2*b**3 Collect the terms in 5*f - 348*f - 528*f + 105*f. -766*f Collect the terms in 9 - 6*n**2 + 3 + 0. -6*n**2 + 12 Collect the terms in 928*b - 493*b - 478*b. -43*b Collect the terms in 224801*h**3 - 112442*h**3 - 112394*h**3. -35*h**3 Collect the terms in -59224 + 59224 - 11*r**2. -11*r**2 Collect the terms in -701*i - 780*i + 1467*i. -14*i Collect the terms in 9 + 15 - 289*s - 24 + 327*s. 38*s Collect the terms in -12*g + 4 + 0*g - 2 + 1. -12*g + 3 Collect the terms in 559 + 521 + 18 + 6*q. 6*q + 1098 Collect the terms in -27 - 4*y**3 + 15 - 45*y + 9*y**3 + 13. 5*y**3 - 45*y + 1 Collect the terms in -3*d - 3*d + 9971*d**2 + 6*d. 9971*d**2 Collect the terms in -132*r**2 - 138*r**2 + 751*r**2 - 182*r**2. 299*r**2 Collect the terms in 0 + 3 + 31867*u - 3. 31867*u Collect the terms in 14*h + 86*h - 103*h. -3*h Collect the terms in -1028*h**3 + 2033*h**3 - 1029*h**3. -24*h**3 Collect the terms in -2*b**2 + 745*b**3 - 584*b**3 + 0*b**2. 161*b**3 - 2*b**2 Collect the terms in 455*k - 1 - 1 + 2. 455*k Collect the terms in 10*n**2 - n - 52*n**2 + 17*n**2 - 1132 + 10*n**2 + 13*n**2. -2*n**2 - n - 1132 Collect the terms in 5*d - 45723*d**2 - 3*d + 2*d + 45728*d**2 - 4*d. 5*d**2 Collect the terms in 51*k - 6*k - 26*k - 24*k - 23*k. -28*k Collect the terms in -476*i**2 - 523*i**2 + 1006*i**2. 7*i**2 Collect the terms in -6*c**2 - 264 - c**2 + 193. -7*c**2 - 71 Collect the terms in -35*d + 65 + 30*d + 16. -5*d + 81 Collect the terms in 84031592*a + 5*a**2 - 84031592*a. 5*a**2 Collect the terms in 2*y - 714229964560 + 714229964560. 2*y Collect the terms in 786*q - 414*q**2 - 786*q - 3*q**2. -417*q**2 Collect the terms in -1458*n**2 - 1459*n**2 + 4321*n**2 - 1431*n**2. -27*n**2 Collect the terms in 13562129 + 13*b**2 - 13562129. 13*b**2 Collect the terms in 1237*p**3 - 8*p**2 - 10*p**2 + 18*p**2. 1237*p**3 Collect the terms in 694*b**2 - 326*b**2 - 368*b**2 + 8*b**3 - 24*b**3. -16*b**3 Collect the terms in -653*o**2 + 1776*o**2 + 1442*o**2 + 5797*o**2. 8362*o**2 Collect the terms in -62*u**2 - 2*u**2 - 5*u**2 - 15*u**2 + 85*u**2. u**2 Collect the terms in 9 + 19442*n - 12 + 3. 19442*n Collect the terms in -2*v**2 + 280 + 8*v**2 - 284. 6*v**2 - 4 Collect the terms in -p**2 + 1528 + 2*p**2 - 9*p + 9*p - 1560. p**2 - 32 Collect the terms in -5225663 + 3*a**3 - 4*a**3 + 2612790 + 2612873. -a**3 Collect the terms in 73 + 575*z - 152 + 1461*z + 79. 2036*z Collect the terms in -22 - 4 - 20 - 3*v + 0*v - 7. -3*v - 53 Collect the terms in -102069*t**2 - t**3 + 3*t + 102069*t**2. -t**3 + 3*t Collect the terms in 11*c**3 - 8170 + 4090 + 4080 - 37*c**3. -26*c**3 Collect the terms in -3*a - 17*a**2 - 6*a**2 + 31*a**2 + 3*a. 8*a**2 Collect the terms in 68*b**3 - 8*b**2 - 9*b**2 + 17*b**2. 68*b**3 Collect the terms in -393453*z + 393453*z + 14*z**2. 14*z**2 Collect the terms in 84*t**3 - 189*t**3 - 3 + 108*t**3. 3*t**3 - 3 Collect the terms in -2*q - 129 - 91 + 5. -2*q - 215 Collect the terms in -124122 + 248251 - 124129 - 5*l**2. -5*l**2 Collect the terms in -268*h**3 - 116*h**3 - 541*h**3 + 12*h**3. -913*h**3 Collect the terms in 19*v**2 + 11*v**2 + 11*v**2 - 38*v**2 + 15*v**2. 18*v**2 Collect the terms in -105*a + 1266 - 1266. -105*a Collect the terms in 0*y + 7*y**2 + 3*y**2 + 0*y + 1883*y**3. 1883*y**3 + 10*y**2 Collect the terms in 3*b**3 + 543*b + 89*b + 542*b - 4*b**3 - 1174*b. -b**3 Collect the terms in 9*v + 210*v**2 - 4*v - 218*v**2. -8*v**2 + 5*v Collect the terms in 57*v**2 + 532*v**3 - 37*v**2 - 20*v**2. 532*v**
{ "pile_set_name": "DM Mathematics" }
-6*k = 588*y - 591*y - 57 for k. 5 Solve -5*i = 144*n - 142*n + 35, 5*n - i = -20 for n. -5 Solve 5*q + 6 = -r + 48, 3*r - q + 18 = 0 for r. -3 Solve -4*a + 5*j + 7640 - 7647 = 0, 3*a - j + 8 = 0 for a. -3 Solve -7*j + 19 = 2*r, 149*r + 13 = 151*r + 5*j for r. -1 Solve -421*a = -424*a + 2*j + 25, 2*a + 5*j + 15 = 0 for a. 5 Solve 4*v - 3*t - 57 = -61, -5*v + 5*t = 0 for v. -4 Solve 48*o - 4*h = 44*o + 24, -2*o - 5*h - 2 = 0 for o. 4 Solve -3*h + v = 13, -5*v + 53 - 24 = -3*h for h. -3 Solve 4*n + 11 = 3*d, 0 = n + 4*d - 28 + 7 for n. 1 Solve 26*j = 24*j + 2*k - 16, 3*j + 8*k = 9 for j. -5 Solve -2*w - 529*f + 527*f = -10, 0 = 5*w + 2*f + 2 for w. -4 Solve 54*s = 49*s - 13 - 62, -3*x - 2*s = 24 for x. 2 Solve -84*b + 10 = 2*p - 82*b, 5*p - 3*b = 17 for p. 4 Solve 4*l + 4*s = -0 + 4, l - 9 = -3*s for l. -3 Solve 207*p = 2*q + 211*p + 22, -5*q = p + 28 for q. -5 Solve -2*a - 134*n + 137*n = 8, -a - 4*n = -29 for a. 5 Solve 0 = 4*x + 16, 30*y + 5*x = 31*y - 23 for y. 3 Solve 30 = 3*d - b, 101*d - 106*d + 42 = b for d. 9 Solve 0 = -2*f + 5*i + 43 - 16, -4*f - i = 1 for f. 1 Solve -5*i + 15 = -3*i + o, -4*i - 6*o = -66 for i. 3 Solve 4*p - 4*v = -5*v + 19, 2*p - 12 = 2*v for p. 5 Solve 0 = -j - 2*w - 43 + 40, 6 = -j - 5*w for j. -1 Solve 69*x - 66*x + 3*z - 15 = 0, -15 = -x - 6*z for x. 3 Solve 0 = 97*q - 101*q + z + 28, 20 = 2*q + z for q. 8 Solve 11*o = 6*o + 3*y + 21, -3*y + 3 = 3*o for o. 3 Solve -s - 3*a + 8 = 0, -16160*s + 16156*s + 11 = 5*a for s. -1 Solve -4*n + 3*s + 46 = 0, -61*n + 24 = -60*n - 2*s for n. 4 Solve -3*a - 1295*s + 1296*s + 34 = 0, -38 = -5*a - 3*s for a. 10 Solve 0 = -2*i - 10, -12*g - i = -14*g - 3 for g. -4 Solve 0 = 101*d - 102*d + 3*c - 4, 5*d - 10 = 5*c for d. 5 Solve 4*p - 65 = 5*c, 0*c + c = 16*c + 195 for p. 0 Solve 30 = 1601*a - 1598*a + 3*h, -10*h = a - 55 for a. 5 Solve 1031*s = 1029*s + 10, -2*s - 6 = 2*l for l. -8 Solve 137*s + 6*r - 4 = 141*s, 0 = -s - r + 9 for s. 5 Solve m - 19 = -4*g, 15*m + 4 = 4*g + 11*m for g. 4 Solve -q = h - 4, -4*h + 1396 = 2*q + 1386 for h. 1 Solve -3*m + 4*n = 94, -3164*m = -3169*m - 4*n + 78 for m. -2 Solve 4*a - 83 - 23 = -14*t, -3 = -3*a - 2*t for a. -5 Solve 5*n = -4*v - 44, -2*v = v + 11 + 7 for n. -4 Solve -94*p = -97*p + 2*y, -6*p + 5*y = -p for p. 0 Solve 2*v - 17*n = -21*n - 10, -3*v - 19*n - 15 = 0 for v. -5 Solve 0 = 4*q + 129*z - 133*z - 28, 3*z - 3 = -3*q for q. 4 Solve -o - 4*u - 24 = 0, -184*o + 6*u = -180*o - 58 for o. 4 Solve -2*a - 2 = -2*f, 4*f - 2*a - 5 = a - 6 for f. -4 Solve -3*t - 3*q = -1060 + 1075, 3*t - 3 = 3*q for t. -2 Solve -5*d = -2*w - 65, -5*w = -48688*d + 48693*d - 100 for d. 15 Solve -880*t + 32 = -877*t + 4*n, 3*t - 41 = 5*n for t. 12 Solve 2*a - 10 = 2*m, -3*m - 122*a + 126*a - 17 = 0 for m. -3 Solve 58015*n - 4*y = 58010*n - 21, 12*y = -n - 17 for n. -5 Solve 2*y = -5*d - 241 + 269, 5*d = -24*y + 116 for y. 4 Solve -4*a + 3*u - 3 = 0, -a - 4*u - 2 = -25 for a. 3 Solve 82*g - 294 = 16*i - 19*i + 28*g, 2 = -i + 2*g for i. 8 Solve 29*n - 26*n - 42 = 13*b, 4*b + 15 = 3*n for n. 1 Solve 5*q + 9 = -105*a + 104*a, 0 = 5*a - 55 for q. -4 Solve 11 - 3 = j + 4*q, -2*j + 5*q - 10 = 0 for j. 0 Solve -4*j = -4*q + 80, 4*j + 539 - 19 = 92*q for q. 5 Solve -3*v - 3*k - 4773 = -4761, -2*v = -4*k + 14 for v. -5 Solve 4*m - 5*p = -37, -238*p - 6 = -3*m - 241*p for m. -3 Solve 4*g = q - 80, -1129*g + 1130*g + 20 = 5*q for g. -20 Solve -g - 4*w = -10, -7218*g + 7213*g + 4*w + 26 = 0 for g. 6 Solve 5*o + u - 76056 = -76027, -4*o + 18 = 6*u for o. 6 Solve -2*q - 18 = 4*g, 2*g + 5 = 34*q - 39*q for g. -5 Solve 4*n - 662*k - 9 = -657*k, 0 = -4*n + 6*k + 6 for n. 6 Solve -4*b - 7*l = -2*l + 13, l = 5*b + 9 for b. -2 Solve 4*u - 24 = -5*f - 6, -4*f = -4*u + 36 for u. 7 Solve -2*t = -v - 4, 10433 = -5*t - 4*v + 10456 for t. 3 Solve -26*t - q - 19 = -21*t + 67, 4*q - 16 = 0 for t. -18 Solve -q + 10 = -6*n, 0 = -81*n + 83*n + 4*q - 40 for n. 0 Solve -4*s + 11*n + 96 = 0, -80299 + 80329 = -s - 4*n for s. 2 Solve -5*d - 28*m + 5 = -32*m, 0 = 2*m for d. 1 Solve -5*u = -f - 6, 5*u = 27845 - 27855 for f. -16 Solve 4*s - 5*c = 5 - 33, 5*c = -5*s + 10 for s. -2 Solve 5*n = -3*g + 15, 19*g = 28*g - 13*g + 40 for n. -3 Solve -27*d = -h - 26*d + 8, -h - 16 = 2*d for h. 0 Solve 2*c - 1 + 3 = 3*c + 2*i + 13, 15 = -5*i for c. -5 Solve 333 = -3*h + 5*y + 313, -2*h - 14 = -4*y for h. -5 Solve -18*h + 4*r = -19*h + 10, 4*h - 3*r + 36 = 0 for h. -6 Solve -4*s = 4*p + 40, -p - 31335*s + 8 = -31340*s for p. -7 Solve 121*g = 106*g - 45, -3*y - 18 = -3*g for y. -9 Solve 2*j - 9 = -5*l, 9*j - 13*j + 6 = -2*l for l. 1 Solve v + 3 = -3*g, -2*v = 17*g - 20*g + 15 for g. 1 Solve -k - 10 = -i - 6*k, 0 = -4*i - 5*k + 10 for i. 0 Solve -i - 14 = -3*j, -7 = -161*i + 163*i + j for i. -5 Solve -23 = 2*z - 11, 2*z + 3*z = -4*d - 42 for d. -3 Solve 7*f + 5*d = -128 + 175, -4*f = 5*d - 29 for f. 6 Solve -4*t + 701 = 4*j + 705, 0 = -t + 2*j + 8 for t. 2 Solve 0 = 4*v + 4*c + 1330 - 1310, -4*c + 10 = -2*v for v. -5 Solve 3*m - 3*t - 6 + 9 = 0, 5*t - 14 = -4*m for m. 1 Solve 0 = -5*b + 6*f + 34, -b - 3*f - 12 = -2 for b. 2 Solve 2*b - 3 = -a, a - 3 = -97*b + 93*b + 4 for a. -1 Solve 0 = 2*k - 14, 2*x = 4*k + 335 - 373 for x. -5 Solve 2*p - 2 = -n, 380*n + 12*p - 36 = 378*n for n. -6 Solve -4*s - 52 = -68, -3*q - 7 = -s for q. -1 Solve 4*s + 467 - 472 = -n, s - 11 = -n for s. -2 Solve 4*c = 4*z + 56, 4*c - 7954 + 7979 = -5*z for z. -9 Solve -44 = 5*k + 134*q - 136*q, -3*k - 2*q = 20 for k. -8 Solve 3*r = -5*d - 4*r + 4*r, -2*d + 39 = 9*r for d. -3 Solve 1040*x = 1038*x + g, x - 3*g = 6*g - 34 for x. 2 Solve 2*c = -4*r, -4*r + 11*r + 30 = 5*r - 4*c for r. 5 Solve 2*g - 56 = 6*c, 82*c = 84*c - 3*g + 49 for c. -5 Solve 2420*b = 4*d + 2416*b + 28, -d + 3*b - 5 = 0 for d. -8 Solve 0 = 5*l - 5*h + 45, 31829*h = -l + 31832*h - 19 for l. -4 Solve 2*x = 29*y - 72, -3*y - 3 + 2 = x for x. -7 Solve -50061 = 5*p - 4*m - 50028, 4*p = -3*m - 14 for p. -5 Solve -68 = 3*q - 7*h, -9*q - 24 = -5*q + 4*h for q. -11 Solve -65*y + 31 = 28*s - 62*y, 0 = 2*s + 4*y - 6 for s. 1 Solve -5*g - 24 = -3*q - 0*g, 4*q + 2*g = 6 for q. 3 Solve -3*z - 5*q + 19859 - 19857 = 0, 0 = -2*z - 4*q for z. 4 Solve -5*a = -4*x + 16, 11088*x = 4*a + 11123*x + 51 for a. -4 Solve -2*n = 5*b + 13 + 6, 346*b = 347*b + 2*n + 31 for b. 3 Solve 3*f + 833*g - 3 = 836*g, 3*g = 5*f - 1 for f. -1 Solve 5*a - 3*i - 49 = 0, -339*i + 340*i = a - 13 for a. 5 Solve 3*q - 5*g = -21, 171*q - 180*q - 7*g + 3 = 0 for q. -2 Solve 12 = 3*n - c, 0 = -2*n - 48*c + 46*c for n. 3 Solve 0 = -30*m + 32*m - 3*l + 19, -4*m - 5 = 5*l for m. -5 Solve 0 = 5*l + t - 57217 + 57192, 0 = 4*l - 5*t + 125 for l. 0 Solve -h = 6 - 7, 27 = 5*m - 3*h for m. 6 Solve 2*c = 2*t - 24, 0 = 3*c - t + 19 + 27 for c. -17 Solve 118*u - 4*m = 115*u, -4*m - 12 = -6*u for u. 4 Solve b + 138*p - 11 = 139*p, -5*b - p + 25 = 0 for b. 6 Solve -g - 5*t - 15 = 3, 5*t + 30 = 5*g for g. 2 Solve 2*z = 4*w + 753 - 781, -34 = 4*z + 3*w for z. -10 Solve 4*c = 790*x - 791*x + 9, -5*x - 6*c + 31 = 0 for x. 5 Solve 4*b = 4, 0 = 2*w - w - 3*b - 274 + 279 for w. -2 Solve 0 = -4*s - 3*y + 5, 5*y + 69 = 64 for s. 2 Solve 5*h + 25 = -8*g, -27*h + 3*g = -31*h - 3 for h. 3 Solve -11*p + 143 = 0, 3 + 1 = -5*r + 4*p - 53 for r. -1 Solve 2*s - 16 = -4*t, 678*s - 5 = -3*t + 680*s for t. 3 Solve 3*v - 3*f = -18, 65*f = -v + 69*f - 18 for v. -2 Solve -2122*t + 2120*t + 2*a - 4 = 0, -9*t + 2 = a for t. 0 Solve -25*n - 29 = -26*n - 3*v, v - 8 = 0 for n. 5 Solve 4*j = -a - 13, 0 = 2*a + 861*j - 866*j for a. -5 Solve 12*y - 4*y + 15*y + 69 = -4*k, 0 = -2*y - 6 for k. 0 Solve -54*x - 45 = c - 63*x, -5*x + 56 = -4*c for c. -9 Solve -d - 6*c = 3, -3*d - 2*c = -9 - 14 for d. 9 Solve m = -m + h - 2, -14 = -50*m + 48*m - 3*h for m. 1 Solve -3*n = -5*t + 22, -n = -4*t - 526 + 538 for t. 2 Solve 36 = -3*z - 3*m, -1838*z + 1841*z + m = -14 for z. -1 Solve 47*f - 5*p - 26 = 39*f, f + 2*p + 2 = 0 for f. 2 Solve 12 = -2*d + 551*m - 275*m - 274*m, -2*d + 5*m = 21 for d. -3 Solve 0 = -2*n - 3*p + 30, -28 = -4*n - 131*p + 129*p for n. 3 Solve -3*z + 2*y = 7, -714*z - 15 = -709*z - 5*y for z. -1 Solve 5*k = -2*b - 11, 0 = -3*b + 422*k - 427*k - 14 for b. -3 Solve -g - 29 + 33 = 4*o, -20 = 2*o - 5*g for o. 0 Solve -7*z = -235*i + 231*i + 59, -4*z - 4*i =
{ "pile_set_name": "DM Mathematics" }
the least common multiple of 104 and h(7). 312 Let d(i) = -i**3 - i**2 + i - 13589. Let z be d(0). Let h = 1250167/92 + z. Calculate the common denominator of 9/14 and h. 644 Suppose -5*y - 85 = -5*i, -10 = 4*i + y - 73. Calculate the least common multiple of i and 12. 48 Let y be 2/4 - 102/(-12). Suppose y*z + 108 = 15*z. Calculate the lowest common multiple of z and 8. 72 Let b(u) = 3*u. Suppose 0 = 2*j - k - 79, -3*j - 4*k = -105 - 19. What is the lowest common multiple of j and b(4)? 120 Let n = 156/337 - 33687/9436. Find the common denominator of n and -5/147. 588 What is the lowest common multiple of 2 and 1606/55 - (-16)/20? 30 Let y(n) = 5*n. Let f be y(1). Suppose -2*j = -f*j + 6. Let w(x) = 2*x + 11. Calculate the lowest common multiple of w(0) and j. 22 Let i be 2686/42588 + (-6)/(-21). Let d = i + -12/169. Calculate the common denominator of d and 85/12. 36 Let r = -37489/3448 - 1/431. What is the common denominator of r and (7/(-222))/((-4)/(-156))? 296 Let v = 23 - 23. Suppose 12*o - 10*o - 4 = v. Calculate the least common multiple of 22 and o. 22 What is the common denominator of (1*73/3)/(-5) and (24/(-4) - 1) + (-94)/(-60)? 30 Let d = -1184 + 4807/4. What is the common denominator of 71/88 and d? 88 Let p = -6 - -9. Suppose -3*i = -2*y - 2*i + 20, 4*y - p*i - 44 = 0. Calculate the smallest common multiple of 1 and y. 8 Suppose -10 = 6*s - 8*s. Suppose 7 = 4*i - 1. Suppose -3*n + 4*m = -s - 31, 5*n = i*m + 46. What is the least common multiple of n and 8? 8 Let d = 204/127 + 12457/2286. Calculate the common denominator of d and -41/16. 144 Let o(y) = -y**3 + 5*y**2 - y + 11. Let z(p) = p**2 + 11*p. What is the least common multiple of o(5) and z(-12)? 12 Find the common denominator of 52/260 - 222/(-20) and 35/(-60)*(-194)/77. 330 Suppose 5*r - 37 = 3*q, 2*r - 2*q = -5*q - 2. Suppose 3*l + 2*h - 2 = 0, -3*h - r - 3 = -l. Calculate the smallest common multiple of 2 and l. 2 Suppose -12 = -5*p - 4*y - 176, p + 28 = -2*y. Calculate the lowest common multiple of 8 and (-8)/p + (-424)/(-36). 24 Let v(o) = o**3 + 10*o**2 + 2*o - 16. Let c be v(-8). Let t = c - 72. What is the lowest common multiple of 12 and t? 24 Let u(n) = -17*n - 81. What is the lowest common multiple of u(-9) and 4? 72 Suppose j + 0*j = 3*n - 4686, -j - 4*n - 4672 = 0. Let m = -65579/14 - j. Calculate the common denominator of m and ((-2)/8)/(3/(-67)). 84 Let a = 4844 - 2891. Let d = a + -39073/20. Calculate the common denominator of 6/32*(-220)/6 and d. 40 Suppose -6 = 2*l - 104. What is the least common multiple of 70 and l? 490 Suppose 0 = 2*i + 2*h - 30, 5*i - 153 = 2*h - 43. Calculate the lowest common multiple of i and 4. 20 Suppose -5*d = -7*d + 4. Calculate the common denominator of ((-108)/(-10))/((-56)/(-30)) and 1 + (-38)/(-20) + d. 70 Let j = 1821 - 1819. Let k = -1 - -1. Suppose 4*b - 69 + 5 = k. What is the least common multiple of j and b? 16 Let g(w) = -2*w + 8. Let x be g(6). Find the common denominator of 54/4 - (-1)/x and (-405)/(-10)*1/(-12). 8 Let f = -5 + 10. Suppose -f*a - 144 = 3*a. Let l = a + 34. Calculate the lowest common multiple of l and 4. 16 Let p = -617 + 669. Suppose -r + 3*r = 16. Calculate the lowest common multiple of p and r. 104 What is the common denominator of 10/3 and (12 - 10)/(20/872*144)? 180 Let j(u) = 3*u**2 + 27*u - 144. What is the smallest common multiple of j(5) and 60? 660 Let o(q) = -q**2 - 7*q - 5. Let m be o(-7). Let g be 1/(m/3 + 2). Calculate the lowest common multiple of (7 - g)/(3 + -1) and 7. 14 Suppose -2*c - 4 = 0, -22 = 10*l - 11*l + 5*c. What is the smallest common multiple of 6 and l? 12 Calculate the common denominator of -16/65 and 459/4368 + 76/(-133). 1040 Let f(h) = -h**3 - 25*h**2 - 24*h + 18. Let r = -7 + 17. Calculate the lowest common multiple of r and f(-24). 90 Let f = -792086371/10310 - -76827. Let a = 15983/25775 + f. Find the common denominator of 69/20 and a. 100 Find the common denominator of -3/5 and ((-1485)/(-27))/11 + 4334/(-886). 2215 Suppose -5*k - 304 = -3*g, -4*k + 452 = 4*g + k. Let p = g + -72. What is the least common multiple of 16 and p? 144 Let t(v) = -8 - 6*v + 5*v + 2*v - 5*v. Calculate the smallest common multiple of 3/((-3)/10)*-1 and t(-6). 80 Let i = -12 - -60. What is the lowest common multiple of i and 84? 336 Let q(t) be the first derivative of -612*t**2 + 2*t + 5. Let j be q(4). Let a = -53890/11 - j. Find the common denominator of a and 47/5. 55 Let u = 16 + -8. Suppose 6*m - 4 = u. Suppose 4*f - 32 = -3*p, m*p = -p + 2*f + 38. What is the smallest common multiple of 20 and p? 60 Calculate the least common multiple of 33/(-9)*(-3 + 0) and 2. 22 Let y be 2/5 - 72094/(-40). Let u = 1813 - y. Let x = -198059/7202 - -2/3601. Calculate the common denominator of u and x. 4 Let q(d) = 11*d**3 - 2*d**2 + 1. Suppose k - 4 = -3*k. Calculate the least common multiple of q(1) and (0 - (-2 + k))*3. 30 Calculate the least common multiple of 4 and 24/(-2 - -4 - (0 + 1)). 24 What is the common denominator of 93/2 and ((-1)/(-9))/(8224/1320 - 6)? 114 Let x = 58592/7 + -27655683/3304. What is the common denominator of -65/6 and x? 1416 Let h = -2973891 - -35656267/12. Let y = h + 2529. Find the common denominator of y and -33/32. 96 Suppose 62 = 4*k - n, 3*k - 4*n = 33 + 20. What is the smallest common multiple of (6/k - -2)/((-4)/(-10)) and 51? 102 Suppose 0*f - 5*f - 3*g = -47, -f + 5*g - 13 = 0. Suppose f = -7*r - 14. Find the common denominator of (-177)/12 - (-1 - r) and -22/21. 84 Let l = 4/80477 - -10220147/8691516. Find the common denominator of -121/108 and l. 108 Suppose 2*s + 0*s = -4164. Let a be (398/(-27))/(42472/s). Let x = 2/5309 - a. Find the common denominator of x and 63/10. 90 Let t = 3740739770539/192599680 - -3/27514240. Let m = t + -19414. What is the common denominator of 85/12 and m? 84 Let u = -37 - -52. Suppose c + 3 = 5*c - h, -5*h = -5*c - u. Suppose 6 = -2*a - c*g, -3*g - 8 - 7 = 0. Calculate the lowest common multiple of a and 8. 8 Let i = 542 + -527. Calculate the smallest common multiple of i and 3*3/12*44. 165 Let j = 110 + -98. Suppose -4 = -4*m + j. What is the least common multiple of m and 18? 36 Find the common denominator of ((-4128)/5760)/((-1)/4) and 50/191. 2865 Let n(u) = -47*u**3 + 2*u**2 + 4*u + 3. Calculate the lowest common multiple of 60 and n(-1). 240 Let v = -3 - -3. Let k be 48/(v - 3/(-2)). Suppose 2*w - k = 8. Calculate the smallest common multiple of w and 22. 220 Let r = -377 - -2626/7. Find the common denominator of r and 38/139. 973 Let s = -316/9 - -6265/171. What is the common denominator of s and -19/6? 114 Calculate the least common multiple of 1 - -2*17/2 and -5 - (-1 + 12/(-20))*5. 18 Let d be (-48)/(-45)*(-4)/((-16)/(-20)). Let y = -16/9 + d. What is the common denominator of (-832)/126 - 8/28 and y? 9 Suppose -5*c + 30 + 80 = 0. Let a be 3 - 1*(-52 - 1). Suppose -b - 3 - 25 = -2*d, 3*d + 2*b = a. Calculate the lowest common multiple of c and d. 176 Let t be 175989/60 - 1 - (-2)/(-8). Let r = 2923 - t. Find the common denominator of r and (-3)/6*(28 + 1). 10 Let p = -29 + 77. Let r = -33 + p. Calculate the smallest common multiple of 3 and r. 15 Let w = -4/27263 - 2262629/1363150. What is the common denominator of -37/80 and w? 400 Suppose -116*x + 108*x = -4480. Calculate the lowest common multiple of 224 and x. 1120 Suppose -43 = -30*t + 797. What is the lowest common multiple of 4 and t? 28 Let i = 6 - -6. Let m be 260/(-39)*i/10. What is the common denominator of 29/4 and (42/(-4))/(m/6)? 8 Suppose 0 = -5*i - 147 + 12. Let z be 90/i*(-12)/5. Let p = z + 0. What is the least common multiple of p and 10? 40 Let c(u) = -u**2 + u - 7. Let z be c(-7). Calculate the least common multiple of (-868)/z - (-4)/18 and ((-24)/14)/((-5)/35). 84 Let o = 17645 - 564539/32. Let n = 1572 + -12543/8. What is the common denominator of o and n? 32 Let o = -1939/342 + 16/57. Let i = 26368 + -1582121/60. What is the common denominator of o and i? 180 Suppose 0 = s - 11 + 1. Let f be (4/12 + -3)*3. Let k(t) = -3*t - 4. What is the least common multiple of k(f) and s? 20 Let i(h) = h**3 - 15*h**2 + 2*h - 24. What is the lowest common multiple of i(15) and 12? 12 Let w = -11 + 27. Suppose -2*x - 5*z = -15 + 36, 2*x + w = -4*z.
{ "pile_set_name": "DM Mathematics" }
23166? 46332 What is the common denominator of -101/12066 and -179/60? 120660 What is the smallest common multiple of 8300 and 4316? 107900 What is the least common multiple of 55500 and 30? 55500 Calculate the common denominator of 149/110796 and -5/154. 1218756 What is the smallest common multiple of 241670 and 26? 241670 Calculate the smallest common multiple of 9933 and 56. 79464 Find the common denominator of -11/2170 and 37/28. 4340 Calculate the common denominator of -91/50 and 127/4130. 20650 Calculate the common denominator of 109/6292 and -31/1529. 874588 Calculate the common denominator of -95/312 and 14/36387. 291096 What is the least common multiple of 6012 and 288? 48096 Calculate the lowest common multiple of 3920 and 133. 74480 Find the common denominator of 39/4 and -21/1266530. 2533060 Calculate the common denominator of -85/8988 and 55/144. 107856 What is the lowest common multiple of 90950 and 200090? 1000450 Calculate the least common multiple of 7830 and 5220. 15660 What is the least common multiple of 144810 and 30? 144810 What is the common denominator of -15/7552 and -17/389872? 3118976 Find the common denominator of -53/637 and 54/791. 71981 Calculate the least common multiple of 5595 and 5508. 10272420 What is the lowest common multiple of 20712 and 27? 186408 Calculate the smallest common multiple of 13397 and 10. 133970 Calculate the common denominator of 79/126 and -11/28272. 593712 What is the lowest common multiple of 6 and 2748? 2748 What is the common denominator of 89/10360 and -85/448? 82880 What is the smallest common multiple of 53150 and 5315? 53150 Calculate the common denominator of -35/18352 and 109/814. 201872 Find the common denominator of -83/48 and 109/468948. 1875792 Calculate the smallest common multiple of 22788 and 1155. 8773380 Calculate the common denominator of -69/428248 and 9/16. 856496 What is the common denominator of -34/24591 and 13/3513? 24591 Calculate the smallest common multiple of 9926 and 10. 49630 Calculate the common denominator of 95/29324 and 85/689114. 1378228 Calculate the least common multiple of 153221 and 531767. 9040039 What is the common denominator of 151/1032 and 37/2838? 11352 Calculate the smallest common multiple of 111390 and 1659. 779730 Find the common denominator of 69/1120 and 29/1032. 144480 What is the smallest common multiple of 352 and 38832? 854304 Calculate the least common multiple of 28 and 78603. 314412 Calculate the least common multiple of 309216 and 696. 8967264 Calculate the lowest common multiple of 2028 and 1196. 46644 What is the lowest common multiple of 60420 and 660? 664620 Calculate the common denominator of 67/4840 and 63/26840. 295240 Find the common denominator of 22/43555 and -43/11. 479105 Calculate the common denominator of 87/52370 and -79/261850. 261850 Find the common denominator of -151/882 and -41/198. 9702 What is the lowest common multiple of 6 and 121684? 365052 Calculate the smallest common multiple of 61707 and 603. 185121 Calculate the least common multiple of 448 and 97. 43456 Find the common denominator of 97/697790 and -40/69779. 697790 Find the common denominator of 25/12507 and -71/3. 12507 What is the lowest common multiple of 201751 and 128387? 1412257 What is the lowest common multiple of 3366 and 126? 23562 Calculate the lowest common multiple of 1680 and 25200. 25200 Find the common denominator of -59/1520 and 97/28310. 226480 What is the lowest common multiple of 495 and 955317? 14329755 What is the common denominator of 58/239037 and -46/2943? 2151333 Find the common denominator of -43/28875 and 38/75. 28875 Calculate the common denominator of 65/86511 and 91/270. 7785990 What is the common denominator of -7/170 and -57/6086? 30430 Calculate the common denominator of -31/768 and 101/11136. 22272 Calculate the smallest common multiple of 12256 and 4596. 36768 Find the common denominator of -17/410 and 1/22. 4510 Calculate the common denominator of 25/27 and 80/222513. 2002617 Find the common denominator of -71/756 and -103/840. 7560 Find the common denominator of -47/255 and -19/38775. 659175 Calculate the common denominator of 1/42 and 89/8226. 57582 What is the common denominator of 8/3935 and -44/4265? 3356555 Calculate the lowest common multiple of 54 and 483. 8694 Find the common denominator of -43/13266 and -103/10854. 119394 What is the common denominator of -179/2310 and 203/990? 6930 Calculate the common denominator of 151/12 and -64/375051. 1500204 What is the least common multiple of 67338 and 44892? 134676 Calculate the lowest common multiple of 84 and 4788. 4788 Calculate the least common multiple of 5355 and 170. 10710 Calculate the lowest common multiple of 12328 and 132. 406824 Calculate the common denominator of -49/24940 and -19/220. 274340 Calculate the common denominator of 117/1484 and -61/3392. 23744 Calculate the lowest common multiple of 11634 and 3696. 1023792 What is the smallest common multiple of 14822 and 172? 1274692 What is the common denominator of -8/227 and -1/5675? 5675 What is the smallest common multiple of 10665 and 36261? 181305 Calculate the least common multiple of 2403 and 158331. 1424979 Find the common denominator of -23/252 and 50/70161. 841932 Calculate the common denominator of 115/492 and 26/87. 14268 Find the common denominator of 181/6900 and 43/132. 75900 Calculate the common denominator of 93/7820 and 73/4. 7820 Calculate the least common multiple of 3750 and 3750. 3750 What is the common denominator of -35/42876 and -23/332? 3558708 What is the common denominator of 2/14845 and -121/630? 1870470 Calculate the lowest common multiple of 10944 and 141. 514368 Calculate the smallest common multiple of 26725 and 5345. 26725 Find the common denominator of 32/1017 and 31/937787. 8440083 Calculate the common denominator of -69/3566 and 85/36. 64188 Calculate the common denominator of -47/1430 and -7/3718. 18590 What is the lowest common multiple of 62920 and 2640? 377520 Find the common denominator of 27/80 and -95/52184. 521840 Calculate the common denominator of -109/20 and -43/488. 2440 Calculate the smallest common multiple of 44 and 1388. 15268 Calculate the smallest common multiple of 47475 and 45. 47475 Calculate the smallest common multiple of 108120 and 340. 108120 Calculate the least common multiple of 633820 and 880. 2535280 What is the least common multiple of 3795 and 135? 34155 What is the lowest common multiple of 14 and 233268? 233268 What is the common denominator of 6/1339 and 101/234? 24102 What is the smallest common multiple of 16 and 25840? 25840 What is the least common multiple of 18 and 44943? 269658 Find the common denominator of 40/2989 and 75/382592. 382592 Calculate the least common multiple of 11036 and 8. 22072 Find the common denominator of 14/1675 and 27/18425. 18425 What is the lowest common multiple of 36810 and 22? 404910 Calculate the least common multiple of 157896 and 11266. 20684376 Calculate the lowest common multiple of 3033 and 9. 3033 Find the common denominator of -5/501184 and -53/70479. 4510656 Calculate the lowest common multiple of 9792 and 2448. 9792 What is the common denominator of 121/30 and 71/8268? 41340 What is the lowest common multiple of 140990 and 28198? 140990 Calculate the least common multiple of 66 and 14520. 14520 Find the common denominator of -97/2094698 and -7/4. 4189396 Calculate the smallest common multiple of 786 and 18270. 2393370 What is the least common multiple of 46190 and 894? 138570 Calculate the common denominator of 153/910 and 17/573650. 7457450 What is the common denominator of 99/25844 and 23/6461? 25844 Calculate the common denominator of 99/1948 and -169/42. 40908 What is the lowest common multiple of 55 and 115725? 1272975 Calculate the lowest common multiple of 125332 and 10. 626660 What is the lowest common multiple of 12 and 8094? 16188 Calculate the lowest common multiple of 1147 and 814. 25234 Calculate the least common multiple of 266 and 8322. 58254 What is the common denominator of -79/136785 and -2/45? 410355 Calculate the common denominator of -43/23922 and 1/195. 1554930 Calculate the least common multiple of 71497 and 228. 857964 Find the common denominator of 19/227
{ "pile_set_name": "DM Mathematics" }
= -4*j + 3*m + p, -4*j + m = -17 + 4 for j. 2 Let u = -185 + 190. Solve 16 = 4*d + u*q, 3*q = -3*d + 4 + 5 for d. -1 Let c(y) = -4*y + 7. Let m be c(-1). Solve -g = 3*i + 17, i + m = -3*i + g for i. -4 Let i(f) = -3*f**2 + 32*f - 7. Let o(n) = n**2 - 11*n + 2. Let h(t) = 4*i(t) + 11*o(t). Let b be h(2). Solve 4*y = -2*g - 8, 4*y = 3*g - 2 + b for g. -2 Suppose -30 - 6 = 3*r. Let h be 1/3 + 4/r. Suppose -3*k + 5*k = h. Solve -4*v - 3 - 1 = 4*n, 5*v - 5*n - 25 = k for v. 2 Let k(b) = 11*b + 120. Let d be k(-10). Solve 6 = -3*q, -t = -5*q - d + 1 for t. -1 Suppose 4*v + 11 = -3*w, 18 = 4*v + 38. Solve g = -4*k - g + 12, -k + 2*g + w = 0 for k. 3 Let f = 2795 - 2790. Let x(p) = -p - 2. Let d be x(-3). Let n(h) = 2*h - 2. Let y be n(3). Solve l = -y*t - f, 3*l + 2 = -d for t. -1 Suppose -3*x + j = -22, 3*j = x + 4 - 22. Suppose -x*t + 29 = 17. Solve -r + 6 = 2, 5*r = -t*h + 12 for h. -4 Let t(h) = h**3 - 7*h**2 + 5. Let i be t(7). Let k = 0 - -1. Suppose -3*d + 5 = i*w, -2*w + 1 + k = 5*d. Solve d*f - 22 = o - 5*f, 0 = -o - f + 8 for o. 3 Suppose -5*q - z = -3, 8 = 2*z + 2. Solve 8 = -2*m + 2*y - q, y - 7 = 2*m for m. -3 Let p = 9 - 6. Suppose 18 = 2*d + 3*d - m, -p*m = -2*d + 2. Solve 0 = -0*r + r + 4*g + d, -2*g + 12 = -3*r for r. -4 Suppose 2*s + 22*z - 19*z = 2, -2*s - z + 6 = 0. Solve 2*f - 19 = 7*o - 4*o, -5*o + 5 = s*f for f. 5 Suppose 335*y - 334*y = 2. Solve 5*a + 6 = y*q - 9, 5*a = -q for q. 5 Let j(y) = -30 + 15*y**2 + 18*y - 34*y**3 - 43*y**3 - 42*y**3 + 118*y**3. Let x be j(16). Solve -h - c - x*c = -7, 5*h = 5*c - 25 for h. -2 Suppose -16 = -5*v + 2*s - 0*s, -1 = v + s. Let h = -14 - -21. Let d(z) = -z**2 + 8*z - 2. Let m be d(h). Solve m*q = 2*a + q + v, 0 = -4*a + q - 18 for a. -5 Let b = 187 + -187. Solve 2*r + b*r = 2*a + 4, -3*r = 3*a - 6 for r. 2 Suppose -8 = 4*p, 2*p = 3*m - 4 - 15. Solve -3*f = 5*u + 7, 0 = -3*f + u + m for f. 1 Let l be ((-42)/(-9))/(-7) - 14/(-3). Let s be (-272)/(-72) - l/(-18). Solve 2*z - 3*d = 13, -2*d = z - 3*d - s for z. -1 Suppose 3*f - x - 50 = -39, -2*f = 4*x + 16. Let z = 2 - 0. Let m be (-1)/(z + (-23)/11). Solve 3*j + 7 = -2*y, 4*y - 3*j - m = f for y. 1 Let g = 585 + -615. Let f = -26 - -6. Let q be g/f*(-4)/(-3). Solve 4*w = -5*c + q, -w - 2 = 3*w + 3*c for w. -2 Let c be -16 + 21 + (-15)/(2 - -3). Solve f + 3*x + 1 = 0, -5*x + 10*x = -c*f for f. 5 Let i(h) = 69*h**2 + h. Let n be i(1). Let r = -67 + n. Solve -2*s = -5*m - 33, -s - r*m = 17 - 6 for s. 4 Suppose 0 = 4*g - 5*l - 41, 4*g - g - 17 = l. Solve -2*f = 2*c - 12, g*c - 5*f + 7 + 5 = 0 for c. 2 Let l = -8 - -5. Let h = l + 6. Suppose -5*t - 29 = -3*y, -3*y - h = t + 2*t. Solve -5*x + 4*x = y*u + 1, 0 = 4*u - x + 13 for u. -2 Let l = 5 + -1. Let y(u) = -2*u**2 - 2*u + 9. Let z be y(-7). Let r be 4/3*z/(-20). Solve 5*s + 5*j = 0, 22 = -4*s + r*j + l for s. -2 Suppose 0 = 4*q - 4*c - 36, -19*c + 32 = 3*q - 23*c. Solve 8*z = 3*t + q*z - 35, -2*t + 2*z = -20 for t. 5 Let m = -85 + 43. Let g = -38 - m. Solve t = 0, -7*d - t = -g*d - 12 for d. 4 Let t(i) = -15*i**3 - 2*i**2 + 1. Let l be t(-1). Let w be (-203)/(-14) + (-6)/(-4). Solve -2*z = 4*j + w, 3*j = -4*z - 3 - l for z. -2 Let u be (-2)/3 + 1611/27. Let t = u + -57. Solve -t*a + 8 = 5*v, 4*a - 5*v = -4*v + 16 for a. 4 Suppose 54*v - 180 = -18. Solve -a = v*y - 2, a - y + 1 = -1 for a. -1 Let n = 1184 - 1829. Let o be (-1)/(-4) + n/20. Let g = o - -72. Solve -2*u + 5*u = 5*t - g, 2*u + 5*t - 15 = 0 for u. -5 Let w(o) = -o**2 - 3. Let i be w(0). Let j be 1/(-3*i/36). Suppose -j*l = -6*l + 10. Solve -3 = -2*h + l, 0 = 5*x - 2*h - 12 for x. 4 Let q(u) = u**2 + 5*u - 12. Let w be q(-6). Let d(t) = -t - 4. Let r be d(w). Solve 0 = -5*l - n + 1, 4*l = l - r*n + 2 for l. 0 Suppose 2*w - 8 = -5*b + 13, 6 = -2*w + 4*b. Solve -6 = -w*k + 3*s, 7*k + 29 = 4*k - 4*s for k. -3 Let t be (-3)/5 - 54/(-15). Let b be 2 + -4 + -5*(2 - t). Solve -u - 10 = -a - b*u, -3*a - 3*u + 21 = 0 for a. 4 Let f be 1 + 12/7 + 2/7. Solve 2*h - o = 3, f*h = 4*h + o for h. 1 Let p = 1733 + -1713. Solve -4*w + p = 4*s, -2*s + 5 = -5*w + 3*s for w. 2 Let x = -4 - -7. Let k be (-6)/(-1)*x/6. Let u = -1 - -7. Solve -p + h - k = 0, 2*p + 0*p = -5*h - u for p. -3 Suppose -5*j = 2996 - 3111. Solve 5*f - 6*z + 4*z = -j, 0 = -3*z - 3 for f. -5 Let b = -2 + 6. Let p be ((-8)/(-6))/(b/6). Let q be -2 + p + 3 + 4. Solve -2*s - 3*j + 3 = 3*s, -q = -5*s - 2*j for s. 3 Let p be (-2)/3 + 17/3. Let t be 99/(-15) - (-2)/(-5). Let b = -7 - t. Solve -2*a - p*w = 1 + 3, b = 3*w for a. -2 Suppose 4*q = 2*q + 2*u + 2, -5*u = -3*q - 7. Solve c - q = p, -4*c + 0*c - 3*p + 3 = 0 for c. 3 Let z(h) = 10*h - h**3 + 2 - 3*h**3 + 7*h**2 + 5*h**3. Let d be z(-5). Solve 2*w = 2*a, a = -d*w - a for w. 0 Let v(r) = -r**3 + 2*r**2 + 10*r - 8. Let m be v(4). Solve m = -3*x - 9, 2*x + 3 - 1 = k for k. -4 Suppose 33 = 11*c - 22. Solve 0 = -b - 3*s, 3*s = -c*b - s for b. 0 Let w = -226 + 228. Solve 0 = w*n + 10, 0 = -4*g + n + 25 for g. 5 Suppose 0 = 2*g - v + 5*v + 42, 0 = -4*g + 3*v - 29. Let u be (-1 - -21)*(-7)/14. Let n = u - g. Solve -s - n = 0, 4 = 3*o + 2*s - 0 for o. 2 Let k = 17 + -17. Solve k = 3*x - 12, -x = 2*q - 3*x + 8 for q. 0 Suppose 0 = 5*t - 30 + 55, -3*k + 3*t + 27 = 0. Solve -k*c - 2*s + 6 = 0, -6*s + s = -5*c - 30 for c. -1 Let v(b) = b**3 + 50*b**2 + 186*b + 105. Let u be v(-46). Let m = -1 + 4. Let k be (4/m)/((-2)/(-6)). Solve -2*o - u = -5*y, -k*y = 5*o - 0 - 17 for o. 1 Let c be (1 - (-21)/(-2))*-2. Let f = -16 + c. Let g(i) = -i**2 - 15*i - 41. Let t be g(-11). Solve -2*b = -10, -7*r + t*r - f*b - 5 = 0 for r. -5 Let u = -766 - -771. Solve u*d + 3*q - 2 = 1, 5*q + 20 = 0 for d. 3 Let c(z) = z**3 + 5*z**2 - 15*z - 14. Let w be c(-6). Let l be (16/w)/(2 - 9/5). Solve -i + 3*k = k - 7, l*k + 19 = -3*i for i. -3 Let c = 14 + 5. Solve 0 = 3*k + 2*r + c, 3*k - 5*r = -1 - 4 for k. -5 Let w be (-1*2)/2 + (13 - 0). Suppose w = 5*f - f. Solve 0 = -2*u - 3*k + 1, -k - 12 = 3*u - f for u. -4 Suppose -5*d - 20 = 0, -4*o - 4*d = o + 1. Let v be 4*2*(-1)/(-8). Let m = 1 + v. Solve o = l, -4*f - m*l = 3*l - 23 for f. 2 Suppose 0 = -5*q - 10, -5*o + 5*q + 4 = -7*o. Solve 0 = -5*k - l - 2*l - 13, o*k - l + 19 = 0 for k. -5 Suppose -i - 1 = -3. Solve i*v + 8 = 0, 3*c - 6*c = -3*v - 3 for c. -3 Let o be (-1)/3*-33 + 3*-1. Suppose -2*t = o, 0 = -4*c - 0*c + 2*t + 16. Solve 5 = 3*v + 2, 0 = -3*j + v + c for j. 1 Suppose -3*g - 12 + 102 = 0. Let p = -28 + g. Solve -p*d = -5*w + 10, -2*w + 0*w = 4*d + 20 for w. 0 Suppose -3*c - 9*q + 11*q = -34, -30 = -2*c + 5*q. Solve -o + 4 = -z + 3, 5*z - 2*o - c = 0 for z. 4 Let f = 753 + -751. Solve 2*r - 8 = q, -3*q + 2 = -f*q + 3*r for q. -4 Let r(v) be the third derivative of -v**5/60 - 5*v**4/24 - v**3/6 - 11*v**2. Let t be r(-3). Solve 5*a - 20 = 4*l, t*l - 5*a = -32 + 7 for l. -5 Suppose 6*v - 2*v = 16, -5*k + 81 = -v. Solve 3*h + k = -4*i, -3*i - 16 = -h - 0*i for h. 1 Let d = 1 + -8. Let p(m) = -m + 9. Let n be p(d). Let r = -15 + n. Solve 4*b - 2*z = 18, 2 = z + r for b. 5 Let q be ((-1)/2)/((-1)/12). Let l = q - 5. Suppose 2*w + x - l = 0, 16 = -5*x - 9. Solve -2*o = -2*g, -12 = -w*o + 5*g - 4 for o. -4 Let k = 53 + -51. Solve 6*v + 6 = 3*n + k*v, 5*v + 2 = n for n. 2 Suppose -14*x + 12*x = 2*d - 16, 0 = -d + 2*x - 4. Solve 2 = -2*w + 5*h, -4*h = -4*w - 0*h - d for w. -1 Let c(r) be the third derivative of -r**4/24 - r**3/6 + 5*r**2. Let f be c(-2). Solve p = -4*d + 7, 5*d - f = 3*d - 3*p for d. 2 Let d be (-32)/(-4) - (-3 + 3). Suppose -3*t = 2*a - 4*a + d, 5*a + 5*t + 5 = 0. Let q be (0/11)/((-2)/a). Solve 0*z + z + l - 1 = 0, 2*z - 2*l + 10 = q for z. -2 Let r(d) = 24*d - 276. Let w be r(12). Let t be 1 + 2/(2*1). Solve t*x + 5*z = -w, -3*z - 2 + 1 = -5*x for x. -1 Suppose -5 + 13 = 4*n. Suppose 0 = -2*r + 4*f - 14, -2*r = -f + 1 - n. Solve -r*c - 5*j = -2*c - 16, 4*c + 4 = -3*j for c. -4 Let x = -29 - -52. Let l = x - 23. Let v be 33/(3 + l) - -3. Solve -2*y - 4*z = v, 5*z - 4*z = -4*y - 14 for y. -3 Let a(s) = -s**2 + 34*s - 258. Let n be a(21). Solve 4*r - 4*h + 15 = -h, -3*h = r - n for r. 0 Let q = 110 + -104. Solve -2*t = 3*c - 4*c + q, -4*c = -2*t + 6 for t. -5 Suppose -470*l - 3 = -471*l. Solve 5*k - 2*y + 13 = 2*k, -4*k = l*y + 23 for k. -5 Suppose -15 = -u + 3*d, -213 + 154 = -3*u - 5*d. Solve
{ "pile_set_name": "DM Mathematics" }
8? 6 What is the tens digit of 17649519? 1 What is the hundred thousands digit of 3164860? 1 What is the hundred thousands digit of 391322? 3 What is the hundreds digit of 1278371? 3 What is the tens digit of 890791? 9 What is the ten thousands digit of 9650453? 5 What is the tens digit of 595342? 4 What is the thousands digit of 183460? 3 What is the thousands digit of 8813066? 3 What is the units digit of 766185? 5 What is the thousands digit of 19486312? 6 What is the hundred thousands digit of 6817119? 8 What is the tens digit of 14815927? 2 What is the units digit of 129142? 2 What is the thousands digit of 5237762? 7 What is the units digit of 1501038? 8 What is the tens digit of 1496720? 2 What is the units digit of 1491912? 2 What is the hundreds digit of 2009548? 5 What is the tens digit of 4088503? 0 What is the units digit of 269553? 3 What is the hundred thousands digit of 767186? 7 What is the tens digit of 720362? 6 What is the units digit of 336559? 9 What is the hundreds digit of 1157643? 6 What is the millions digit of 1208913? 1 What is the units digit of 16194856? 6 What is the ten thousands digit of 24368789? 6 What is the hundred thousands digit of 8424784? 4 What is the tens digit of 21102? 0 What is the tens digit of 1102351? 5 What is the millions digit of 11267932? 1 What is the units digit of 302? 2 What is the ten thousands digit of 223090? 2 What is the tens digit of 2217599? 9 What is the thousands digit of 4214573? 4 What is the tens digit of 3063863? 6 What is the thousands digit of 911160? 1 What is the thousands digit of 3506677? 6 What is the hundreds digit of 5832486? 4 What is the hundred thousands digit of 1460943? 4 What is the thousands digit of 603753? 3 What is the ten thousands digit of 167721? 6 What is the tens digit of 12617075? 7 What is the tens digit of 25534473? 7 What is the tens digit of 7133303? 0 What is the tens digit of 1249837? 3 What is the tens digit of 200702? 0 What is the hundred thousands digit of 14548305? 5 What is the units digit of 2641888? 8 What is the units digit of 429155? 5 What is the thousands digit of 214503? 4 What is the ten thousands digit of 924447? 2 What is the millions digit of 3388387? 3 What is the tens digit of 308645? 4 What is the ten thousands digit of 293429? 9 What is the thousands digit of 21773286? 3 What is the tens digit of 344897? 9 What is the millions digit of 1020779? 1 What is the millions digit of 2336536? 2 What is the tens digit of 81607? 0 What is the hundreds digit of 104581? 5 What is the ten thousands digit of 520265? 2 What is the ten thousands digit of 33660154? 6 What is the thousands digit of 317250? 7 What is the ten millions digit of 34236671? 3 What is the ten thousands digit of 36192649? 9 What is the tens digit of 1032077? 7 What is the hundreds digit of 676135? 1 What is the tens digit of 3280991? 9 What is the hundreds digit of 646649? 6 What is the hundred thousands digit of 110041? 1 What is the hundred thousands digit of 3726392? 7 What is the hundreds digit of 8509221? 2 What is the hundreds digit of 336845? 8 What is the ten thousands digit of 3775189? 7 What is the hundreds digit of 283651? 6 What is the millions digit of 7021016? 7 What is the hundred thousands digit of 147591? 1 What is the units digit of 4628342? 2 What is the ten thousands digit of 4553640? 5 What is the millions digit of 2771553? 2 What is the hundred thousands digit of 8288320? 2 What is the ten thousands digit of 67050? 6 What is the ten thousands digit of 1886679? 8 What is the hundred thousands digit of 956299? 9 What is the thousands digit of 1813401? 3 What is the ten thousands digit of 15416446? 1 What is the hundreds digit of 1003688? 6 What is the hundred thousands digit of 301761? 3 What is the tens digit of 1126925? 2 What is the hundreds digit of 740121? 1 What is the hundred thousands digit of 20193826? 1 What is the thousands digit of 179867? 9 What is the thousands digit of 82494? 2 What is the ten thousands digit of 259767? 5 What is the tens digit of 873410? 1 What is the hundreds digit of 25764? 7 What is the hundreds digit of 9604956? 9 What is the ten thousands digit of 702101? 0 What is the units digit of 304135? 5 What is the thousands digit of 86977? 6 What is the thousands digit of 6971358? 1 What is the hundreds digit of 225990? 9 What is the units digit of 5081134? 4 What is the ten thousands digit of 139102? 3 What is the units digit of 17280? 0 What is the hundreds digit of 1671112? 1 What is the ten thousands digit of 5313025? 1 What is the units digit of 192545? 5 What is the hundreds digit of 9818999? 9 What is the units digit of 623017? 7 What is the units digit of 164382? 2 What is the tens digit of 18035? 3 What is the thousands digit of 5902298? 2 What is the tens digit of 28423067? 6 What is the thousands digit of 228416? 8 What is the ten thousands digit of 149107? 4 What is the hundreds digit of 67707? 7 What is the units digit of 2301751? 1 What is the ten thousands digit of 283793? 8 What is the hundreds digit of 2753673? 6 What is the hundred thousands digit of 595865? 5 What is the thousands digit of 644714? 4 What is the hundred thousands digit of 255881? 2 What is the thousands digit of 616351? 6 What is the units digit of 8188? 8 What is the ten thousands digit of 245166? 4 What is the thousands digit of 81496? 1 What is the hundreds digit of 2445784? 7 What is the hundreds digit of 179237? 2 What is the units digit of 110090? 0 What is the hundreds digit of 7118229? 2 What is the units digit of 137808? 8 What is the hundreds digit of 633758? 7 What is the thousands digit of 366914? 6 What is the ten millions digit of 16998849? 1 What is the hundred thousands digit of 7847253? 8 What is the ten thousands digit of 836114? 3 What is the hundreds digit of 8659826? 8 What is the ten thousands digit of 627859? 2 What is the hundreds digit of 1836345? 3 What is the ten thousands digit of 6049013? 4 What is the thousands digit of 1342144? 2 What is the tens digit of 395374? 7 What is the units digit of 1649246? 6 What is the ten thousands digit of 364420? 6 What is the tens digit of 547765? 6 What is the hundreds digit of 3949732? 7 What is the thousands digit of 12435765? 5 What is the millions digit of 20879431? 0 What is the units digit of 242574? 4 What is the hundreds digit of 388179? 1 What is the thousands digit of 3943473? 3 What is the ten thousands digit of 20306023? 0 What is the thousands digit of 778401? 8 What is the thousands digit of 336127? 6 What is the ten millions digit of 20513173? 2 What is the hundred thousands digit of 1081493? 0 What is the hundred thousands digit of 9045677? 0 What is the tens digit of 1399820? 2 What is the thousands digit of 226867? 6 What is the thousands digit of 4512497? 2 What is the units digit of 166033? 3 What is the units digit of 1333800? 0 What is the tens digit of 821370? 7 What is the ten thousands digit of 16803950? 0 What is the thousands digit of 257058? 7 What is the millions digit of 13755155? 3 What is the tens digit of 6560514? 1 What is the tens digit of 5399? 9 What is the hundreds digit of 572143? 1 What is the thousands digit of 379209? 9 What is the hundreds digit of 821449? 4 What is the thousands digit of 3534042? 4 What is the tens digit of 604552? 5 What is the ten thousands digit of 517157? 1 What is the ten thousands digit of 2362154? 6 What is the thousands digit of 1316843? 6 What is the tens digit of 2869299? 9 What is the thousands digit of 874905? 4 What is the thousands digit of 11029947? 9 What is the thousands digit of 6766608? 6 What is the ten thousands digit of 6247125? 4 What is the units digit of 744297? 7 What is the units digit of 1199171? 1 What is the hundred thousands digit of 1281743? 2 What is the hundreds digit of 154036? 0 What is the hundred thousands digit of 34259253? 2 What is the hundred thousands digit of 5958596? 9 What is the units digit of 359772? 2 What is the hundred thousands digit of 5580391? 5 What is the hundreds digit of 1722284? 2 What is the hundreds digit of 6926187? 1 What is the thousands digit of 514332? 4 What is the hundred thousands digit of 192210? 1 What is the hundreds digit of 5179871?
{ "pile_set_name": "DM Mathematics" }
divided by 34? 15 What is the remainder when 27 is divided by 8? 3 What is the remainder when 1120 is divided by 354? 58 What is the remainder when 270 is divided by 12? 6 What is the remainder when 437 is divided by 110? 107 Calculate the remainder when 575 is divided by 53. 45 Calculate the remainder when 212 is divided by 9. 5 Calculate the remainder when 628 is divided by 276. 76 Calculate the remainder when 515 is divided by 5. 0 Calculate the remainder when 2085 is divided by 1039. 7 What is the remainder when 1364 is divided by 4? 0 Calculate the remainder when 259 is divided by 91. 77 What is the remainder when 363 is divided by 28? 27 Calculate the remainder when 713 is divided by 102. 101 Calculate the remainder when 3449 is divided by 36. 29 What is the remainder when 359 is divided by 172? 15 Calculate the remainder when 25 is divided by 10. 5 What is the remainder when 602 is divided by 67? 66 What is the remainder when 1836 is divided by 23? 19 What is the remainder when 359 is divided by 222? 137 Calculate the remainder when 2333 is divided by 19. 15 Calculate the remainder when 111 is divided by 19. 16 What is the remainder when 2104 is divided by 236? 216 What is the remainder when 1150 is divided by 128? 126 Calculate the remainder when 1227 is divided by 176. 171 Calculate the remainder when 9491 is divided by 21. 20 Calculate the remainder when 260 is divided by 3. 2 What is the remainder when 5405 is divided by 26? 23 Calculate the remainder when 414 is divided by 206. 2 Calculate the remainder when 1424 is divided by 79. 2 What is the remainder when 395 is divided by 74? 25 What is the remainder when 130 is divided by 16? 2 Calculate the remainder when 3918 is divided by 14. 12 What is the remainder when 2429 is divided by 18? 17 Calculate the remainder when 837 is divided by 21. 18 Calculate the remainder when 10807 is divided by 8. 7 What is the remainder when 301 is divided by 77? 70 What is the remainder when 809 is divided by 42? 11 What is the remainder when 299 is divided by 17? 10 Calculate the remainder when 678 is divided by 22. 18 Calculate the remainder when 123 is divided by 34. 21 Calculate the remainder when 107 is divided by 47. 13 What is the remainder when 38 is divided by 11? 5 What is the remainder when 1683 is divided by 22? 11 What is the remainder when 88 is divided by 56? 32 Calculate the remainder when 142 is divided by 124. 18 Calculate the remainder when 483 is divided by 124. 111 Calculate the remainder when 428 is divided by 19. 10 Calculate the remainder when 12117 is divided by 40. 37 What is the remainder when 440 is divided by 145? 5 What is the remainder when 696 is divided by 13? 7 What is the remainder when 3069 is divided by 32? 29 What is the remainder when 257 is divided by 113? 31 What is the remainder when 190 is divided by 39? 34 Calculate the remainder when 228 is divided by 21. 18 Calculate the remainder when 1173 is divided by 11. 7 What is the remainder when 3027 is divided by 15? 12 What is the remainder when 419 is divided by 28? 27 What is the remainder when 3121 is divided by 14? 13 What is the remainder when 10202 is divided by 57? 56 Calculate the remainder when 3378 is divided by 22. 12 What is the remainder when 296 is divided by 71? 12 Calculate the remainder when 3563 is divided by 92. 67 What is the remainder when 84 is divided by 13? 6 Calculate the remainder when 1026 is divided by 45. 36 Calculate the remainder when 533 is divided by 183. 167 Calculate the remainder when 1216 is divided by 65. 46 What is the remainder when 221 is divided by 76? 69 Calculate the remainder when 422 is divided by 52. 6 Calculate the remainder when 397 is divided by 150. 97 What is the remainder when 591 is divided by 54? 51 Calculate the remainder when 3944 is divided by 188. 184 Calculate the remainder when 284 is divided by 273. 11 What is the remainder when 2 is divided by 2? 0 What is the remainder when 64 is divided by 6? 4 What is the remainder when 272 is divided by 11? 8 What is the remainder when 35 is divided by 5? 0 What is the remainder when 137 is divided by 48? 41 Calculate the remainder when 2252 is divided by 1121. 10 Calculate the remainder when 5218 is divided by 36. 34 Calculate the remainder when 247 is divided by 84. 79 Calculate the remainder when 418 is divided by 106. 100 What is the remainder when 374 is divided by 177? 20 Calculate the remainder when 164 is divided by 32. 4 Calculate the remainder when 39 is divided by 7. 4 What is the remainder when 302 is divided by 68? 30 Calculate the remainder when 815 is divided by 35. 10 What is the remainder when 2573 is divided by 56? 53 What is the remainder when 10885 is divided by 191? 189 Calculate the remainder when 2047 is divided by 57. 52 Calculate the remainder when 706 is divided by 12. 10 Calculate the remainder when 231 is divided by 78. 75 What is the remainder when 1601 is divided by 18? 17 What is the remainder when 1923 is divided by 55? 53 What is the remainder when 831 is divided by 169? 155 Calculate the remainder when 237 is divided by 83. 71 What is the remainder when 926 is divided by 133? 128 What is the remainder when 938 is divided by 318? 302 What is the remainder when 6010 is divided by 12? 10 What is the remainder when 2458 is divided by 610? 18 What is the remainder when 2453 is divided by 610? 13 What is the remainder when 361 is divided by 267? 94 Calculate the remainder when 137 is divided by 60. 17 What is the remainder when 124 is divided by 47? 30 What is the remainder when 162 is divided by 152? 10 What is the remainder when 8925 is divided by 48? 45 Calculate the remainder when 846 is divided by 5. 1 Calculate the remainder when 75 is divided by 26. 23 What is the remainder when 1098 is divided by 31? 13 Calculate the remainder when 40 is divided by 22. 18 Calculate the remainder when 1807 is divided by 359. 12 What is the remainder when 2128 is divided by 13? 9 What is the remainder when 361 is divided by 292? 69 What is the remainder when 60 is divided by 11? 5 What is the remainder when 531 is divided by 18? 9 What is the remainder when 508 is divided by 451? 57 Calculate the remainder when 263 is divided by 8. 7 What is the remainder when 1341 is divided by 64? 61 What is the remainder when 319 is divided by 168? 151 What is the remainder when 717 is divided by 60? 57 Calculate the remainder when 2411 is divided by 599. 15 Calculate the remainder when 816 is divided by 270. 6 Calculate the remainder when 1048 is divided by 132. 124 What is the remainder when 1379 is divided by 459? 2 What is the remainder when 347 is divided by 25? 22 What is the remainder when 687 is divided by 77? 71 Calculate the remainder when 1655 is divided by 79. 75 Calculate the remainder when 34 is divided by 4. 2 What is the remainder when 28 is divided by 6? 4 Calculate the remainder when 1553 is divided by 389. 386 What is the remainder when 17 is divided by 7? 3 Calculate the remainder when 1102 is divided by 12. 10 Calculate the remainder when 129 is divided by 81. 48 What is the remainder when 623 is divided by 19? 15 Calculate the remainder when 345 is divided by 4. 1 What is the remainder when 213 is divided by 200? 13 What is the remainder when 414 is divided by 7? 1 Calculate the remainder when 16 is divided by 4. 0 Calculate the remainder when 973 is divided by 15. 13 Calculate the remainder when 253 is divided by 136. 117 What is the remainder when 204 is divided by 107? 97 Calculate the remainder when 210 is divided by 32. 18 What is the remainder when 43 is divided by 11? 10 What is the remainder when 3742 is divided by 13? 11 What is the remainder when 672 is divided by 27? 24 What is the remainder when 453 is divided by 252? 201 What is the remainder when 659 is divided by 25? 9 What is the remainder when 17636 is divided by 401? 393 What is the remainder when 713 is divided by 17? 16 What is the remainder when 14 is divided by 9? 5 What is the remainder when 511 is divided by 245? 21 Calculate the remainder when 146 is divided by 82. 64 What is the remainder when 74 is divided by 29? 16 What is the remainder when 429 is divided by 103? 17 Calculate the remainder when 40 is divi
{ "pile_set_name": "DM Mathematics" }
t q = -14 + p. Let f = q + 4. Calculate the greatest common factor of 11 and f. 1 Let n = -26 - -27. Suppose o - n = -0. Let f(b) = b**2 + 5*b - 2. Let d be f(-6). What is the highest common factor of o and d? 1 Suppose g = 67 + 13. Suppose p + 0*p = g. Suppose -w - p = -3*w. What is the highest common divisor of 8 and w? 8 Let r = -443 - -457. Calculate the greatest common divisor of 371 and r. 7 Let z be (103 - -2) + (-1)/1. Suppose 229 + 512 = 57*b. What is the highest common factor of b and z? 13 Let g be 2 - ((-8)/(-2) - 4). Suppose y + 0*y - 49 = -5*n, 0 = -4*n - g*y + 44. Let s be (-5)/3*(-28 + 1). Calculate the greatest common divisor of n and s. 9 Let o = -22 + 49. What is the highest common divisor of 36 and o? 9 Let z(o) = -o. Let g be z(5). Let t(k) = -k**3 - 2*k**2 - 2*k - 5. Let s be t(g). Calculate the greatest common divisor of 8 and s. 8 Let g = -13 - -53. Suppose -2*v = -4*k + 86, 5*k - 5*v + g - 155 = 0. What is the greatest common divisor of k and 4? 4 Suppose 4*o - 5*q - 82 = 0, -o + 3*q = q - 19. Let v(a) = 7*a - 57. Let c be v(o). Calculate the highest common factor of 13 and c. 13 Let k(g) = -g**2 + 9*g - 1. Let h = -19 + 26. Let y be k(h). Suppose 4*f - 11 - y = 0. Calculate the greatest common divisor of 4 and f. 2 Suppose 2*g + 2*a - 8 - 8 = 0, -g = 2*a - 10. Suppose 3*q - 48 = g. Suppose -257 = -p - 59. Calculate the highest common factor of p and q. 18 Suppose 3*n + 2*b - 791 = 0, 3*n = 2*n - 3*b + 252. Let w = -99 + n. Calculate the greatest common divisor of 24 and w. 24 Let u be 3/(5/(-15)*(-9)/33). What is the highest common factor of u and 11? 11 Suppose 5*m - 3*y - 123 = -7*y, -93 = -4*m - 5*y. Let l = 431 + -134. Calculate the highest common factor of m and l. 27 Let x be (-51)/(-3) - (22 + -19). Calculate the greatest common divisor of x and 28. 14 Let d(v) = 6*v**2 + v + 176. Let j be d(-11). Calculate the greatest common factor of j and 33. 33 Suppose 218 = 13*t - 406. Calculate the greatest common factor of t and 72. 24 Let t(b) = 13*b - 30. Let g be t(18). What is the highest common divisor of g and 24? 12 Suppose -q + 7 = -x, -26 = -3*q + 4*x - 1. Suppose -u = 4*s + s - 215, -4*u = q*s - 112. What is the greatest common factor of 33 and s? 11 Suppose 4*m + 4*t = 244, 4*t + 39 + 2 = m. Let x(n) = 9*n**2 - 2*n - 2. Let v be x(-2). Calculate the highest common factor of v and m. 19 Let m = -2 + -10. Let b be (-3068)/m - (-3)/9. Calculate the greatest common divisor of 32 and b. 32 Let p(j) = -j + 19. Let w be p(14). Suppose -11*n + 5*g = -10*n - 1, -2*n + 2*g = -2. What is the greatest common divisor of w and n? 1 Let p(c) = -c**3 + 2*c**2 + 5*c + 4. Let o be p(-4). Let i = 1 + 5. Suppose 3*u - 16 = -a, i*a - 2*u = 4*a + 16. Calculate the highest common factor of a and o. 10 Let i(x) = -x**2 + 21*x + 75. Let c be i(24). What is the highest common factor of c and 48? 3 Suppose -9 - 70 = -5*c - 3*j, -2*c + 16 = -4*j. Suppose z = 4*z - 60. Suppose 0*o + 4*o + 8 = 0, z = 5*m - 5*o. Calculate the highest common factor of c and m. 2 Let z(v) = v**3 - 30*v**2 + 28*v + 197. Let o be z(29). What is the highest common factor of 21 and o? 21 Suppose -2*c = 4*a - 116, -c + 33 = -2*a - a. Let r be 2/9 - (-384)/(-27). Let i be (-290)/(-9) - r/(-63). Calculate the greatest common divisor of i and c. 16 Let d(w) = -7*w**2 + 10*w + 12. Let c(y) = -20*y**2 + 31*y + 35. Let b(z) = 6*c(z) - 17*d(z). Let j be b(16). Calculate the greatest common factor of j and 3. 3 Suppose -s - 5*x + 0*x = -60, 87 = s - 4*x. Let i = 7 - -8. Calculate the greatest common factor of s and i. 15 Let i = -5 - -19. Let t(u) = -21*u + 4. Let s be t(-3). Let p = -65 + s. Calculate the greatest common factor of i and p. 2 Let g be (-204)/30*(-940)/8. What is the greatest common factor of 17 and g? 17 Suppose 7*i + 16 = 72. Calculate the highest common factor of i and 6. 2 Let v(g) = -g**3 - 18*g**2 - 31*g + 22. Let n be v(-16). What is the greatest common factor of 114 and n? 6 Suppose -6*f = -f - 30. Let l = 32 + -55. Let v be l/(-7) - 1/(21/6). What is the highest common factor of v and f? 3 Let l(j) = -2*j - 26. Let b be l(-14). Suppose 3*x + 32 = 3*f + 5, -b*f - 4*x + 42 = 0. Suppose -v + 35 = -17. Calculate the highest common divisor of v and f. 13 Let u be 402/25 - 56/700. Calculate the highest common factor of 56 and u. 8 Suppose 276 = 20*g - 44. Calculate the greatest common divisor of g and 28. 4 Let z = 37 - -56. Suppose 5*j + 5*c - 2*c = z, -4*j - c = -80. Calculate the highest common divisor of j and 147. 21 Let o = 280 - -513. What is the greatest common factor of 13 and o? 13 Let g be (0 + -2)/(18/(-45)). Suppose 3*w - 73 = g*v, 3*w + 2*w = 4*v + 113. What is the highest common factor of 3 and w? 3 Let t be 4 + 1 + (-4 - 0) - -706. Calculate the greatest common divisor of 7 and t. 7 Let h be 2/8 - 39/12*-7. Suppose 0 = 6*c - h*c + 1224. What is the greatest common factor of 8 and c? 8 Let j be (-4)/(-3)*15/10. Suppose 5*q - 399 = 2*y, j*q = -q - 5*y + 258. Let k = 216 - 207. What is the greatest common factor of k and q? 9 Let t = 81 + -45. Let r = -62 - -103. Suppose 0 = 5*z + 25, -z = -2*l - 0*z + r. What is the highest common divisor of t and l? 18 Let z = 51 + -49. Let b be (-143)/(-6) + z/12. Suppose -102 = -5*m + 78. Calculate the greatest common factor of b and m. 12 Suppose 56*v - 6541 = 2699. What is the highest common factor of 385 and v? 55 Let o(k) = -k**3 + 7*k**2 - 5*k - 2. Let r be o(6). Let l be -5 + 1*7/(14/26). Calculate the highest common factor of r and l. 4 Let r be (6/(-18))/((-3)/72). Let g be ((-50)/3)/(r/(-12)). Let j be ((-24)/20)/((-2)/g). What is the greatest common factor of 6 and j? 3 Let t be (-4)/46 - (10864/(-92) + -2). Let q(f) = -f**3 + 6*f**2 - 3*f - 5. Let k be q(4). Calculate the highest common factor of k and t. 15 Let p be ((-114)/9 - -10)/((-2)/63). Calculate the greatest common factor of p and 21. 21 Suppose 6*h = -14*h + 380. Calculate the highest common divisor of h and 361. 19 Suppose h = 5*c + 4, 365 - 377 = -h + 3*c. Calculate the greatest common divisor of 3912 and h. 24 Let f(w) = w**3 + 6*w**2 - 46*w - 17. Let u be f(-9). What is the greatest common factor of 88 and u? 22 Let w(q) = -q**3 + 11*q**2 - 11*q - 22. Let b be w(10). Let k = 5 - b. What is the highest common factor of 407 and k? 37 Let o(d) = d**2 - 7*d + 9. Let c be o(7). Calculate the greatest common divisor of c and 855. 9 Let p(q) = -q**2 - 12*q - 6. Let x be p(-10). Suppose 5*b - 3*b + 2 = 0. Let y be b/((-1)/2)*x. Calculate the highest common divisor of y and 28. 28 Let v(q) be the second derivative of q**4/4 - q**3/6 + 4*q**2 + 2*q. Suppose 16*o - 13*o = 18. Let g be v(o). Calculate the greatest common factor of g and 22. 22 Suppose -20 = 6*u - 11*u. Suppose 0 = 2*y - u*v + 254, 4*y = 3*v - 242 - 256. Let h = y - -213. Calculate the highest common divisor of h and 36. 18 Suppose 4*n - 7 - 5 = 0. Suppose f = 2*f + 4*p - 219, -n*f + 696 = -p. Let r = 53 - 32. What is the highest common divisor of f and r? 21 Let x(m) be the third derivative of m**5/30 - 3*m**4/4 - 7*m**3/2 - 48*m**2. Let f be x(14). What is the highest common factor of 17 and f? 17 Let r be 7*((-180)/(-63) - -5). Calculate the highest common divisor of 220 and r. 55 Suppose -16*u = -19*u + 42. Let q be (-16)/(-56) - (-2460)/u. Let s = 21 - 5. What is the highest common divisor of s and q? 16 Suppose 0 = 16*c - 13*c - 3. Calculate the greatest common factor of c and 27. 1 Let s(t) = -2*t**3 + 35*t**2 - 17*t - 18. Let q be s(10). Calculate the greatest common divisor of 82 and q. 82 Suppose -x + 5*d = -284, 3*d - 13 + 1 = 0. Suppose -2*w - 2*c = -x, c + 310 = -3*w + 5*w. What is the highest common factor of w and 14? 14 Suppose -598*n + 3655 = -581*n. Calculate the highest common divisor of 172 and n. 43 Let j be 1 + (3 - -32) - (-1 + -2). What is the highest common divisor of 3 and j? 3 Suppose -144 = -1003*f + 991*f. Let r(i) = i**3 + 3*i**2 - 5*i - 1. Let h be r(-4). Suppose 252 = h*l - 0*l. Calculate the greatest common factor of f and l. 12 Let k = 47 + -44. Let n be (-24)/(-4)*(5 - 1). What is the greatest common divisor of n and k? 3 Let v = 27 + -10. Let d(b) be the third derivative of 3*b**5/20 - b**4/12 + b**2. Let k be d(4). Calculate the gre
{ "pile_set_name": "DM Mathematics" }
42 = -6*d - 6. Let m be s(d). Which is the nearest to -2/5? (a) 2 (b) m (c) 4 a Let p = 1.55 - 1.65. Let m = -55 + 163/3. Suppose 0 = 2*d - 2, 2*o - 3*d = 3 - 4. What is the nearest to p in o, m, 0.4? 0.4 Let v be 8/(-20)*5/(-3). Let k be (-204)/(-440) - 6/10. Let i = -35/66 + k. Which is the nearest to i? (a) -3 (b) 3 (c) v c Let k be (55/(-20) - -2) + 31/52. Which is the nearest to 1? (a) 0.5 (b) -5 (c) -2.3 (d) k a Let z be ((-462)/24)/(-2 + 7/4). Let a = z + -153/2. What is the nearest to -1 in -0.1, -4, a? -0.1 Let l = 6.66 + -7.06. Which is the closest to 0.3? (a) -1 (b) l (c) 0.4 (d) -13 c Let m be (-2 - (-7 - -6))/1. Which is the closest to 0? (a) -2/19 (b) 0.2 (c) m a Let s(z) = z**2 + z + 1. Let j be s(-2). Let r(a) = -a**3 + 4*a**2 - 4*a + 2. Let t be r(j). Let l = 8.5 - 9. What is the nearest to 0.1 in t, l, 1? l Suppose -5*z + z = -20. Suppose 0 = -z*h - 14 + 9. Let i = 85/603 + -2/67. What is the closest to h in i, -2/3, 1/4? -2/3 Let p = 212/7 - 1922/63. Let f be -2 + ((-2638)/(-805) - 1). Let l = 1/115 + f. What is the nearest to -0.1 in p, -0.1, l? -0.1 Let l = -5.4 - 0.1. Let k = 5.6 + l. Which is the closest to k? (a) -3 (b) -1 (c) 1/4 c Let d = -0.27 - -0.37. Let u = -2.049 - -0.049. What is the closest to -2 in u, -2/5, d? u Suppose -r = 2*r - 3*w - 18, 3*r + 5*w + 22 = 0. What is the closest to -0.1 in r, -1/4, -2? -1/4 Let v = -9.91 + 6.91. What is the nearest to 2/3 in 3, v, 8, 4? 3 Let y = -9.24 - -9.74. What is the nearest to 12/5 in 0.3, -2/5, y? y Let t = -289/1650 + -1/150. What is the nearest to 0.2 in 3/2, 0.3, -6, t? 0.3 Suppose 7*i + 78 = 85. What is the closest to i in -1/2, 0.5, 0.029, -1/4? 0.5 Let y = 5 + -5.1. Let b = -40 + 40.5. What is the closest to y in b, -3, 0? 0 Let g be 8/(-3) + 8/12. Let m = -2.6 + 1.6. What is the closest to m in -1, g, 4? -1 Let h(r) = -5*r**2 - r + 1. Let s be h(1). Let f = -4 + 4.1. Let d = 0.101 - 6.101. Which is the nearest to d? (a) 0.4 (b) f (c) s c Let t be (-2 - 1) + 9 + -1. Suppose -z - z = s + t, 5*s + 3*z + 11 = 0. Which is the nearest to s? (a) 1/2 (b) 5 (c) 4 a Suppose -8 = -2*z + 2*m, z - 2*m = -3*m - 6. Let l be 245/686 - (-1)/7. What is the closest to z in l, -0.5, 2? -0.5 Let i = -0.159 + -41.841. Which is the nearest to i? (a) 0 (b) -5 (c) -0.1 (d) 2 b Let o = -1070 + 1070.3. Which is the closest to -3? (a) o (b) 4 (c) 0.03 c Let h = 14/15 - 3/5. Which is the closest to 0? (a) -2 (b) h (c) 1/4 c Let k(n) = 13*n + 7. Let u be k(-10). Let g be u/(-36) + 6/(-8). Let h = 3 - g. Which is the nearest to 1? (a) 4 (b) -1/3 (c) h c Let s(j) = j**3 - 4*j**2 + 2*j - 2. Let z be s(3). What is the nearest to -0.1 in -1/2, -3/5, z? -1/2 Let a(j) = -j**3 - 6*j**2 - 4*j + 22. Let w be a(-3). What is the closest to 0.1 in -0.5, 0, w? 0 Let p = 18 - 16. Let f(h) = h**3 + 3*h**2 - 9*h - 22. Let o be f(-4). What is the nearest to -2 in o, p, -0.05? o Let y = -1.357 + -2.643. What is the nearest to 2 in y, 0.03, -8? 0.03 Let l = -0.113 + 0.013. Which is the nearest to -1? (a) l (b) 1/2 (c) -0.3 (d) 5 c Let z = -23 + 67. Let u = z - 45. What is the nearest to -1 in u, 0.2, 5? u Let m = -403 - -400. Let s(w) = -w**2 + 2*w. Let p be s(2). Suppose 3*r = -p*r. Which is the closest to r? (a) m (b) -0.4 (c) 2 b Let z = -1586/9 + 176. Let f = 0.4 + 1.6. Let w = 24313 - 24312. Which is the closest to f? (a) z (b) w (c) -3/5 b Let p be (42/56)/((2 - 1) + 2). Let l = -0.1 - -0.1. Which is the closest to -2? (a) l (b) p (c) -0.4 c Let x = -0.0462 + 0.1462. What is the nearest to 1/2 in -2, -10/7, x? x Let f = 27.1 - 27. What is the closest to 0 in 42, 0, f? 0 Let o be (-8)/(-9) - 2/3. Suppose 4*t = 4*w, 6*w - w - 4*t = 2. Suppose -w + 5 = -g. What is the closest to 2/3 in g, o, -1/4? o Let k = -0.0561 + 0.2561. Which is the nearest to 1/4? (a) 4 (b) 0 (c) -12 (d) k d Let k be ((-4)/42)/((-193)/579). Which is the nearest to k? (a) -2/163 (b) 3/8 (c) 2/5 b Let t be 69/(-23)*(-4 + 2)/(-10). Let s = 0.072 + 0.328. Let o = -1.1 - -1. What is the closest to t in s, o, 0.1? o Let z = -2881/4 - -721. What is the closest to -1/3 in -2/7, z, -2/9? -2/7 Let p = -1.667 + -1.333. Which is the nearest to p? (a) 3 (b) -4 (c) 1/2 (d) 6/19 b Let t = 21 + -18.9. Let l = -0.9 - t. Which is the closest to 2? (a) l (b) 0.5 (c) -0.4 b Let t = 5 - 4. Let z = 2 + t. Let a = 4 - 2. What is the closest to -1/4 in a, -5, z? a Let f(j) = j**2 - 3*j + 4. Let u be f(0). Let i be -1 + (-9)/15 - -2. Which is the closest to 0.1? (a) -5 (b) i (c) u b Let s be 0/(-28) + 36/(-20) + 12/15. Let q = 2 - -2. Which is the closest to s? (a) -4/3 (b) q (c) 2/23 a Let d = 99/35 + -24/7. Which is the nearest to 1? (a) -1 (b) d (c) -5/3 b Let x = -49 + 47. Let w = x - 2. Let r be (-1)/(-2) - (-2)/(-2). What is the nearest to r in -3, w, -2/7? -2/7 Let m = -4.33 - -8.33. Let d = -10.8 + -0.2. Which is the nearest to 0.1? (a) 0.2 (b) d (c) m a Let z be (-794)/12 - (-8)/48. Let m = z + 65. Which is the nearest to 1? (a) m (b) 2 (c) -5 b Let f(o) = o**3 + 2*o**2 - 4*o - 6. Let t be f(-4). Let j = 17 + t. Let n be 8/(-3)*j/20. What is the nearest to -0.1 in -1/7, 0.4, n? -1/7 Let j = 2265/3976 + 1/568. Let i be (1/26)/(3/(-12)). Which is the nearest to 2/13? (a) j (b) -1/2 (c) i c Let u = 441 - 439. What is the closest to -1 in -47, u, -3, -5/2? -5/2 Let g = 40 + -39.995. Let x = g + 0.095. Let v = -2 + 1.9. What is the closest to v in 3, 2, x? x Let o = 144 + -204.2. Let h = o + 60. Let r = 5 - 4. Which is the nearest to h? (a) 3/2 (b) -3/4 (c) r b Suppose 16*d + 15 = 19*d. Suppose d*v - 69 = 2*v. Suppose -4*k = -5*z - 32, 0 = 3*z - 5*z + 5*k - v. Which is the closest to -1? (a) 3 (b) z (c) 0.1 c Let u = 2.1 + -1.9. Let r = u - 0.5. Let o = -2.7 + -0.3. What is the nearest to o in r, 0, 0.2? r Let g = 10 + 3. Let u = -13.21 + 0.21. Let m = g + u. Which is the closest to m? (a) 0 (b) 0.2 (c) -5 a Let n = -1692 + 1690. Let m = -0.8 - 3.2. Which is the nearest to 0? (a) n (b) 2/9 (c) m b Let q = -2 - -1.9. Let g = -83 - -173. Let u = 90.5 - g. What is the closest to q in -1, u, 1? u Let x = 1.24 - 6.24. Let v = -1.9 + 2. What is the nearest to v in x, -4, 2/17? 2/17 Let z be 3/5 - (-9)/10. Let u = 6.3 - 6. What is the closest to 0.2 in z, u, -3/7? u Let o = 2 + -1. Let f = 2 + o. Let v = 0.3193 - 3.3193. What is the closest to -0.2 in 1/3, f, v? 1/3 Suppose q + 3 = 0, -3*j + q = -0*q + 3. What is the nearest to -0.4 in 5, j, 0.3? 0.3 Let b = -18 - -53/3. Let q = -44.1 - -46. Let f = -3.1 - q. What is the closest to b in 2, f, -0.2? -0.2 Let x = -362.839 + 363. Let f = x + 3.839. Which is the nearest to 1? (a) 0 (b) f (c) 28 a Suppose -4*y + 22 - 18 = 0. Which is the nearest to 0.1? (a) 3/8 (b) 5 (c) y (d) -0.05 d Let s = 63 - 63.2. Which is the nearest to 2/7? (a) 0.024 (b) -2/7 (c) s (d) -3 a Let d = 6 + -6.4. Let q = -13 - -8. Let h = -0.09 - -0.59. What is the closest to 0.1 in h, q, d? h Let d = 0.16 + -0.16. Let u = d - 2. Let r(p) = -p**2 - 5*p + 5. Let l be r(-5). What is the nearest to 3/4 in 0.5, u, l? 0.5 Suppose 2*h - 3 = 1. Let u = 187/21 + -28/3. What is the closest to 0 in h, -10, u? u Let y = 320.8 + -25.8. Let i = -298 + y. Let r = 0.1 + -0.1. What is the closest to -0.1 in i, 3, r? r Let a be (-1)/1 - 4/2. Let r be (a + 2)/(0 + -2). What is the nearest to r in 0.1, 2/7, 2? 2/7 Let s be (3/(-3))/(2/(-16)). Suppose h = 5*h - s. Let l = -6.9 - -7.1. Which is the nearest to l? (a) h (b) 1 (c) 4 b Suppose -u = 4*h + 1, -1 = h + 2*u + 1. Which is the nearest to 16? (a) h (b) 2 (c) 5 c Let p be ((-6)/4)/((2 - 1) + 4). Let t = -31/140 - 1/35. What is the closest to 0 in p, 0, t? 0 Let x be (-1 - 1)/(-20)*-4. Let a = -15.8 - -13.8. What is the nearest to a in 0.5, x, 6? x Let j = -2.39 - -3.39. What is the nearest to -0.1 in -5, j, -0.4? -0.4 Let g = 1691 + -1698. Which is the nearest to g? (a) 0.4 (b) 0 (c) 2 (d) -2 d Let n = -1035 + 3106/3. Which is the closest to -8? (a) 0.26 (b) 1 (c) n a Let r = -170 - -1188/7. Let s = 340 - 5098/15. What is the nearest to r in s, 2, -3? s Let h be (-82)/(-4)*34/(-17) + 0. Which is the closest to 0? (a) h (b) 3 (c) -2/11 c Let l be 24/60 + 22/20. Let v = -0.5 - -1.5. What i
{ "pile_set_name": "DM Mathematics" }
of (f/(-2))/(-11 + 9)? 7 Let t(w) = -15*w - 1. Let r(u) = 29*u + 1. Let j(x) = -6*r(x) - 10*t(x). Let f = -423 - -418. What is the hundreds digit of j(f)? 1 What is the thousands digit of 1/(((-170)/(-4976495))/((-2)/(-1)))? 8 Let t = 25314 - 12357. What is the units digit of t? 7 Let h = -11 + 7. Suppose 2*c - 3*r = 241, -1 = -4*r + 11. What is the units digit of h/(0 + -4) + (c - 2)? 4 Let o be (1 + 4/(-3))*(17 - 26). Suppose -2*t + 1767 = -3*u, o*t + 2*u - 1781 - 863 = 0. What is the hundreds digit of t? 8 Suppose -97*i + 2660 = -93*i. Suppose 2*d + 69 = i. What is the units digit of d? 8 Suppose 2326*c - 3*k + 177264 = 2330*c, c = 5*k + 44362. What is the thousands digit of c? 4 Let h(d) = d**3 - 74*d**2 + 2*d - 224. What is the units digit of h(76)? 0 Let d be 0 + -1 + 0 + 1 - -3. Suppose m - 73 = -d*c, -10*m + 258 = -6*m - 5*c. Let g = m - -6. What is the tens digit of g? 7 Let w(o) = -o - 10. Let g be w(-8). Suppose 0 = -67*y + 61*y - 144. What is the tens digit of -100*g*(-3)/y? 2 Let g(c) = 8*c + 23. Let m(n) = 7*n + 23. Let w(q) = 2*g(q) - 3*m(q). Let h be w(-8). Suppose -14*t + h*t - 162 = 0. What is the tens digit of t? 5 Let b(r) = 234*r**2 + 34*r - 1. What is the units digit of b(-11)? 9 Let d(y) = 222*y**2 - 58*y - 173. What is the tens digit of d(-8)? 9 Let b(x) = 504*x**2 + 179*x - 101. What is the tens digit of b(7)? 4 Let x be 8/((-4)/156*2). Let f be ((-1938)/21)/1 - (-8)/28. Let v = f - x. What is the tens digit of v? 6 Let k = 10209 - 5798. What is the tens digit of k? 1 Let w(j) = -2*j**3 + j**2 - 2*j + 1. Let k be w(2). Let x be (6 + 3)/(-3)*k*6. Suppose 5*v = 3*v + x. What is the hundreds digit of v? 1 Let k = 13531 - -24180. What is the tens digit of k? 1 Suppose j - 9 = 5*v, -5*j + 4*v = -60 - 69. Let f = j + -26. Suppose 5*g - 4*q = -3*q + 381, -5*q = -f*g + 233. What is the units digit of g? 6 Suppose 188*r - 192*r - 3800 = 0. Let x = -73 - r. What is the tens digit of x? 7 Let r(c) = 2*c - 8 - 7 - 2*c - 3*c. Let o be r(-6). Suppose 0 = -2*f + b + 23, -b = -o*f - 3*b + 45. What is the units digit of f? 3 Suppose 0 = 4*c - 2*b - 14282, 3*b = -5*c + 2427 + 15420. What is the tens digit of c? 7 Let q = 10551 - 2473. What is the hundreds digit of q? 0 Suppose -4*j + 8 = -3*v, j + 9 + 12 = -5*v. Let l be -2 + (-3 - -52) - j. Let a = 18 + l. What is the tens digit of a? 6 What is the thousands digit of (-1353)/(-12)*(-48)/40*(-260)/6? 5 What is the hundreds digit of 0 + 19223 + (-18 - -15)? 2 Let f = 26902 - 15940. What is the thousands digit of f? 0 Let j(z) = z**3 + 22*z**2 + 73*z + 169. What is the units digit of j(-14)? 5 Suppose 50*x - 3*q = 55*x - 61294, -12250 = -x - 5*q. What is the tens digit of x? 6 Let w be 1542/(-8) + -5 - 1/4. Let y be 4 + (0 - w)*-1. Let s = -11 - y. What is the tens digit of s? 8 Let w(n) = 3025*n - 1014. What is the thousands digit of w(16)? 7 Let y be (5750/15 + -5)*6. Suppose -3*q - 275 = -y. What is the hundreds digit of q? 6 Let y = -5159 - -13762. What is the thousands digit of y? 8 Let k = 1436 + -371. Let g = k - 717. What is the tens digit of g? 4 Let z be (-1200)/225*(221 + 1). Let x = -446 - z. What is the tens digit of x? 3 Let j(s) be the second derivative of -s**4/12 - 7*s**3/2 + 21*s**2 + 76*s. What is the units digit of j(-17)? 0 Let n(a) = -203*a + 204. Let x be n(1). Let g(r) = -r**2 - 2*r**2 + r + r + 1 + 59*r**3. What is the units digit of g(x)? 9 Suppose 0 = 2*i + 2*g - 10, -2*i + 6 + 2 = g. Suppose -4*t + 580 = -2*q - i*q, -4*t = -q - 564. Let r = t - 98. What is the tens digit of r? 4 Let o(b) = 17607 + b**2 - 7*b - 17655 - 7*b. What is the hundreds digit of o(24)? 1 Suppose -24618 = -60*p + 15222. Let m = p - 489. What is the tens digit of m? 7 Let l be 0*((-4)/(-16) + 0). Let z(i) = -18 - i**2 + 7*i**2 - 8*i**2 - 42*i + l*i**2. What is the tens digit of z(-20)? 2 Let a(l) = -12*l + 45. Let t be a(3). Let q(f) = f**3 - 8*f**2 + 8*f - 3. What is the units digit of q(t)? 0 Let m be ((-9738)/27)/(12/18). Let r = 47 - m. What is the units digit of r? 8 Suppose -3718 + 565 = 3*h. Let m = h - -2128. What is the hundreds digit of m? 0 Let a be -7 - 15/(-5)*9. What is the tens digit of 6594/10 + 4/a*-2? 5 Suppose -6*i + 649 + 323 = 0. Suppose -i*l + 22410 = -147*l. What is the hundreds digit of l? 4 Suppose -12*x = -x + 4774. Let a = 57 - x. What is the units digit of a? 1 Let n = -37484 + 69810. What is the thousands digit of n? 2 Let k = 32382 - 17056. What is the ten thousands digit of k? 1 Let l be -1*(-2 + (3 - 7)). Let w(d) = -d**2 - 9*d + 6. Let u be w(-10). What is the tens digit of (-2)/l + (-202)/(-3) + u? 6 Suppose 7 = h - 2*q, h + 11 = -0*h - 4*q. Suppose -b + 6 = h. Let y(w) = 2*w + 6. What is the units digit of y(b)? 6 Let b be (-14*(-299)/26)/1. Suppose 4*o - 18 = -r + 2, 2*o - r - 4 = 0. What is the hundreds digit of ((-44)/14 + o)*b? 1 Let b(d) = -4 - 6*d + 0*d + 16. What is the tens digit of b(-20)? 3 Suppose 45*i = 40*i + 29525. What is the tens digit of 2/(-10) + (-6)/((-150)/i)? 3 Let m be 0/(-2) - 3*(-11 + -53). Let p be 808/(-6) + (-2)/(-3). Let w = m + p. What is the units digit of w? 8 Let y = -43 + 45. Suppose y*n + 2 = 8. Suppose 2*x + 30 = n*b + x, 2*x + 49 = 5*b. What is the units digit of b? 1 Let r(o) = -o - 18. Let p be r(-20). Suppose 2*m - 2 = 4*q - 16, -37 = -p*q - 5*m. Suppose -q*x = -66 - 150. What is the tens digit of x? 3 Let a(c) = 4610*c + 231. What is the ten thousands digit of a(3)? 1 What is the hundreds digit of (3 + (-161)/21)*53640/(-14)? 8 Let x be -19*2*(12 + -9)/3. Suppose -4*l - 96 = 8. Let v = l - x. What is the tens digit of v? 1 Suppose -5*t + 4*p = -37494, 15*t - 30020 = 11*t - 3*p. What is the hundreds digit of t? 5 Let i(b) = -20*b**3 - b**2 + 1. Let o(w) = w**3 - 5*w**2 - 13*w - 7. Let u be o(6). Let a = u - -48. What is the units digit of i(a)? 0 Let q(t) = -6*t - 4. Let i be 2 + (2*-3 - 1 - 1). Let x be (i/4)/(48/32). What is the units digit of q(x)? 2 Suppose 4*w + 6*l - 3*l + 3 = 0, 2*l + 2 = -w. Suppose -3*i - h + 58 = -0*i, 3*i - 2*h - 64 = w. Suppose z - 12 = i. What is the units digit of z? 2 Let d = 2254 + -1275. Let g = d - 579. What is the tens digit of g? 0 Let w be 686/49*(-1)/(-2). Suppose 380 = w*n - 152. What is the tens digit of n? 7 Let w = 8061 - 2798. What is the thousands digit of w? 5 What is the tens digit of (56/140 - 54/110) + (-138405)/(-33)? 9 Let y(o) = -o. Let u(x) = -58*x + 30 + 100*x - 73*x. Let a(z) = -u(z) + 4*y(z). What is the units digit of a(5)? 5 Let a be -2 - (0 - (-4 - -13)). Let j(b) = b**2 - 3*b - 22. Let t be j(a). What is the units digit of 20/(-30) + 202/t? 3 What is the thousands digit of (-47 + 61)/(2/320)? 2 Suppose -3*x - o + 5523 = 0, 4*x - 78*o = -73*o + 7383. What is the thousands digit of x? 1 Suppose 0 = 5*p - 2 - 18. Suppose 1301 = 18*z - 13*z + 4*s, p*z - 1036 = -2*s. What is the units digit of z? 7 Let p = -607 - -599. What is the units digit of 14*p/(-28) - -8? 2 Let c = 587 + -581. Suppose 4*n + 2896 = c*g - 2*g, 2*g = -3*n + 1438. What is the tens digit of g? 2 Let r(b) = -b**2 + 7*b + 13. Let o be 160/16 + -3 + (2 - 1). Let t be r(o). Suppose t*q - 535 = -5*m, 2*q = -5*m + 7*q + 575. What is the hundreds digit of m? 1 Suppose -3*g = -3*o + 64071, -5*o - 2*g = -5*g - 106789. Suppose 2615 - o = -71*p. What is the units digit of p? 4 Let v(u) = -5*u**3 + 9*u**2 + 12*u + 901. Let g(l) = 9*l**3 - 16*l**2 - 22*l - 1801. Let j(z) = -4*g(z) - 7*v(z). What is the tens digit of j(0)? 9 Suppose 4*y - 45 = 3*y. Let i = y - -170. Let z = i + -127. What is the units digit of z? 8 Suppose -4*m = -10*m + 30. Suppose -m*c + 7*c + 552 = 0. Let w = -173 - c. What is the hundreds digit of w? 1 Let p(n) = -7*n - 14. Let m be p(-6). Suppose 4*h + 2*q + m = 0, -q = 5*h + q + 37. What is the units digit of (2 - 1)*27 + (-6 - h)? 0 Let f = 21820 - -8116. What is the tens digit of f? 3 Let o(i) = -1076*i - 5469. What is the tens digit of o(-13)? 1 Let n(u) = 23*u**2 + 416*u + 32. Let j be n(-18). Let s be (1 - -1)/(-2 + 4). What is the tens digit of j/6*s + 290/3? 9 Let h be (-7 - (-10717)/(-14))*-2. Suppose 7*x - h - 3397 = 0. What is the tens digit of x? 0 Let q be 3 + -1 + 0 + -2. Let u(g) = g**3 + 2*g**2 + 4*g + 5. Let d be u(0). Suppose -169 = -d*s - 4*h, 5*s + 0*h + 3*h -
{ "pile_set_name": "DM Mathematics" }
at is 0.006214 rounded to 3 decimal places? 0.006 Round 0.0001751 to 6 decimal places. 0.000175 Round 176600 to the nearest ten thousand. 180000 What is 0.10324 rounded to two dps? 0.1 Round -0.2256 to zero decimal places. 0 Round 0.7265 to two dps. 0.73 Round 7.2 to the nearest 10. 10 Round 123870 to the nearest one thousand. 124000 What is -0.001079 rounded to 3 dps? -0.001 Round -0.0001466 to 6 dps. -0.000147 Round 55.4 to zero decimal places. 55 Round -10.407 to 1 decimal place. -10.4 What is 680410 rounded to the nearest 10000? 680000 Round -0.00000012968 to 7 decimal places. -0.0000001 What is 123760 rounded to the nearest 10000? 120000 What is -0.00102219 rounded to five decimal places? -0.00102 Round 52.35 to the nearest integer. 52 What is 10402400 rounded to the nearest one million? 10000000 What is -8459500 rounded to the nearest 100000? -8500000 Round 9047000 to the nearest 1000000. 9000000 What is 0.001986 rounded to 4 decimal places? 0.002 What is 0.0004004 rounded to five dps? 0.0004 Round -0.0000073157 to 6 decimal places. -0.000007 What is -0.005942 rounded to two dps? -0.01 What is -1.003 rounded to one dp? -1 What is 0.000233 rounded to four dps? 0.0002 What is -0.00001701 rounded to 6 decimal places? -0.000017 What is 11040 rounded to the nearest one hundred? 11000 What is -0.0000225867 rounded to seven dps? -0.0000226 Round 35100 to the nearest ten thousand. 40000 Round -82.63 to the nearest integer. -83 Round 5823 to the nearest 1000. 6000 Round 0.0000048611 to 7 decimal places. 0.0000049 Round -1834000 to the nearest ten thousand. -1830000 What is 0.0000115781 rounded to 6 dps? 0.000012 What is -4212800 rounded to the nearest one hundred thousand? -4200000 Round -347 to the nearest 100. -300 Round 85392 to the nearest one thousand. 85000 Round 13.4 to the nearest 10. 10 Round 0.00001348 to six decimal places. 0.000013 Round -0.000009795 to 7 decimal places. -0.0000098 What is 1713 rounded to the nearest 100? 1700 Round 0.04178 to 2 decimal places. 0.04 Round 0.0000976 to 5 dps. 0.0001 What is 3116000 rounded to the nearest one hundred thousand? 3100000 What is 27131000 rounded to the nearest one hundred thousand? 27100000 Round 70.9 to the nearest ten. 70 What is -13610 rounded to the nearest one thousand? -14000 What is 882900 rounded to the nearest 10000? 880000 Round -0.0009 to 5 decimal places. -0.0009 Round -217550000 to the nearest 1000000. -218000000 What is -0.05206 rounded to 3 dps? -0.052 Round -0.0000001392 to 7 decimal places. -0.0000001 What is 22430 rounded to the nearest 10000? 20000 What is 0.0000070956 rounded to 7 decimal places? 0.0000071 What is -2714 rounded to the nearest one hundred? -2700 What is -11.01 rounded to the nearest 10? -10 Round 0.06002 to one dp. 0.1 Round 0.1325 to two dps. 0.13 Round -0.0002333 to 5 decimal places. -0.00023 What is -0.0000015 rounded to four decimal places? 0 What is 4857.37 rounded to the nearest 100? 4900 Round 0.000000722 to seven dps. 0.0000007 Round 0.012411 to 3 dps. 0.012 Round 3673 to the nearest one hundred. 3700 Round -305532 to the nearest 1000. -306000 Round -0.062146 to four dps. -0.0621 What is -4718100 rounded to the nearest one hundred thousand? -4700000 Round -92.2 to the nearest ten. -90 Round -0.237 to 1 decimal place. -0.2 Round -21771000 to the nearest 100000. -21800000 Round 1918400 to the nearest one hundred thousand. 1900000 Round -444.1 to the nearest one hundred. -400 What is -0.04233 rounded to two dps? -0.04 Round 0.015814 to three decimal places. 0.016 What is 790000 rounded to the nearest 1000000? 1000000 Round 0.0000633619 to five decimal places. 0.00006 Round 15360 to the nearest 1000. 15000 Round -29.566 to one decimal place. -29.6 What is -29790 rounded to the nearest 10000? -30000 What is 81700 rounded to the nearest 10000? 80000 What is 0.9324 rounded to 2 decimal places? 0.93 What is 257928000 rounded to the nearest 1000000? 258000000 What is -4629000 rounded to the nearest one million? -5000000 Round 361.6 to the nearest ten. 360 What is -3184200 rounded to the nearest one million? -3000000 Round 0.00131641 to six dps. 0.001316 What is -142207000 rounded to the nearest 1000000? -142000000 What is -6279 rounded to the nearest one thousand? -6000 Round 0.00008531 to five dps. 0.00009 Round -0.00335215 to four dps. -0.0034 Round -0.004525 to 4 decimal places. -0.0045 What is -75521 rounded to the nearest 10000? -80000 What is 0.528 rounded to one decimal place? 0.5 Round 6.657 to 2 decimal places. 6.66 Round -0.0000060818 to 6 dps. -0.000006 Round 7.287 to the nearest integer. 7 What is 2602 rounded to the nearest 100? 2600 Round -9748000 to the nearest one million. -10000000 Round -0.0508 to 3 decimal places. -0.051 What is -163 rounded to the nearest 100? -200 Round -0.1956 to 2 dps. -0.2 Round -0.006156 to four decimal places. -0.0062 Round 19380 to the nearest one thousand. 19000 Round 98680 to the nearest ten thousand. 100000 Round 232980 to the nearest 1000. 233000 What is -8847000 rounded to the nearest one hundred thousand? -8800000 Round 0.00005702 to five dps. 0.00006 Round 0.00002349 to 6 decimal places. 0.000023 Round 78655000 to the nearest 1000000. 79000000 What is -3470 rounded to the nearest ten thousand? 0 What is 0.0389 rounded to two dps? 0.04 What is 0.000017586 rounded to 7 dps? 0.0000176 Round 0.000013037 to six dps. 0.000013 Round -0.00000722 to 6 dps. -0.000007 What is -103690 rounded to the nearest 10000? -100000 Round 0.0000597 to 6 decimal places. 0.00006 What is 0.51168 rounded to one dp? 0.5 What is -0.50609 rounded to 1 dp? -0.5 Round 3.3226 to 0 dps. 3 What is 9003600 rounded to the nearest ten thousand? 9000000 Round 0.071367 to 3 dps. 0.071 What is -5.337 rounded to 1 decimal place? -5.3 Round -0.000145 to four dps. -0.0001 Round -108.1 to the nearest 100. -100 Round -0.30175 to 2 decimal places. -0.3 What is -0.00075 rounded to three dps? -0.001 Round -64000 to the nearest ten thousand. -60000 What is -2.706 rounded to 1 decimal place? -2.7 What is -0.0562 rounded to three decimal places? -0.056 Round 1174480 to the nearest 100000. 1200000 Round 0.0001393 to five decimal places. 0.00014 What is -48054000 rounded to the nearest one hundred thousand? -48100000 Round 3.812 to one decimal place. 3.8 What is -119.255 rounded to the nearest ten? -120 Round 0.0000000664 to 7 dps. 0.0000001 Round -28348000 to the nearest one million. -28000000 What is -0.00016326 rounded to 5 dps? -0.00016 What is 0.00001408 rounded to six decimal places? 0.000014 What is 517000 rounded to the nearest 100000? 500000 What is 0.000676 rounded to 5 decimal places? 0.00068 Round 0.00009111 to five decimal places. 0.00009 Round -0.000049826 to six dps. -0.00005 What is 0.00000107444 rounded to 7 decimal places? 0.0000011 Round -139.618 to the nearest 10. -140 What is -0.0062609 rounded to 5 decimal places? -0.00626 What is -59.26 rounded to the nearest 10? -60 Round -0.2752 to 2 dps. -0.28 What is -20.78 rounded to the nearest 10? -20 What is -0.000013363 rounded to 6 dps? -0.000013 What is -0.110851 rounded to three decimal places? -0.111 What is 2.2485 rounded to two dps? 2.25 What is -72.7 rounded to zero decimal places? -73 Round 1030000 to the nearest one hundred thousand. 1000000 Round 0.0000080273 to seven dps. 0.000008 Round -0.904 to 2 dps. -0.9 Round 0.00000796 to 6 decimal places. 0.000008 What is 1.26679 rounded to two dps? 1.27 Round 9666 to the nearest 10000. 10000 Round -375.7 to the nearest ten. -380 Round -0.027077 to 3 dps. -0.027 Round -11738000 to the nearest one million. -12000000 Round 0.000003454 to seven dps. 0.0000035 Round 0.000246 to 4 dps. 0.0002 What is 0.0134576 rounded to 4 dps? 0.0135 What is 1055100 rounded to the nearest one hundred thousand? 1100000 What is -0.0013166 rounded to 4 decimal places? -0.0013 Round 0.0242249 to 3 dps. 0.024 Round -0.000344 to five decimal places. -0.00034 What is -0.0011496 rounded to four decimal places? -0.0011 Round -0.00158 to three decimal places. -0.002 What is 1253400 rounded to the nearest 100000? 1300000 Round 0.0002157 to 5 decimal places. 0.00022 What is -3499300 rounded to the nearest ten thousand? -3500000 Round 628970000 to the nearest 1000000. 62
{ "pile_set_name": "DM Mathematics" }
f 15? False Let m(c) be the third derivative of -c**5/120 + 5*c**4/12 + c**3/2 + 6*c**2. Let s(k) be the first derivative of m(k). Is 11 a factor of s(-6)? False Let j(h) = -7*h - 8. Let r be j(-2). Suppose 5*k + 30 - r = u, 2*u + 2*k - 84 = 0. Is 14 a factor of u? False Let x be (-3910)/35 - (-4)/(-14). Let a be (x/(-20))/((-4)/(-10)). Suppose 5*c = -a - 1, 0 = 3*w - 2*c - 249. Is 27 a factor of w? True Is ((-2)/3)/((-8)/(-2304)*-4) a multiple of 24? True Let s(q) = q**3 + 2*q**2 - 8*q - 3. Let j be s(-3). Suppose 0 = -5*d + 5*r + 20, 0*r + j = 5*d - r. Is d even? True Suppose -3*i = 0, 2*q = -i + 56 + 494. Does 25 divide q? True Let j = -187 - -458. Does 30 divide j? False Suppose -6*v = -2*v + 3*d + 51, 4*d - 7 = 3*v. Let s(l) = 3*l**2 + 23*l + 7. Is 14 a factor of s(v)? False Suppose -2*r + 2 = 0, n - 64 - 9 = r. Does 37 divide n? True Suppose 4*w + 605 = -5*j, j - 270 = 3*j - 4*w. Let b = 195 + j. Does 7 divide b? True Let q be (285/(-9))/(7/21). Is 19 a factor of ((-56)/(-20))/((-2)/q)? True Let l = 4 + -1. Suppose -g + 5*n - 23 = 0, 3*n + 1 - 10 = l*g. Is -25*(g + 24/(-10)) a multiple of 5? True Suppose -14 = -2*l + c - 3, 9 = 3*l + c. Suppose -5*y + 344 = 4*n - 434, n + 635 = l*y. Does 15 divide y? False Suppose 5*d + 0 = -5, -2*m - d + 347 = 0. Is m a multiple of 13? False Suppose j - 21 = -5*o, -6*o + 8*o - 2 = -2*j. Suppose -o*a + 874 = 159. Is a a multiple of 11? True Is 22 a factor of ((-68)/2)/(-1)*(-1176)/(-112)? False Suppose -2 = -2*d + 4*d, 3 = 2*s + 5*d. Suppose -s*l + 1581 = 3*g + l, 2*l - 2654 = -5*g. Does 4 divide g/42 + 2/(-3)? True Suppose -3*j - 8 = -29. Suppose 1 = -2*w + j. Suppose 0 = w*f - 6*f - a + 160, 0 = -5*a - 25. Is f a multiple of 15? False Let n = 153 - 86. Is n a multiple of 4? False Let j(r) = r**3 + 2*r**2 - 8*r. Let s be j(-4). Suppose -w = 2*m - 68, s = -m + 3*m + 3*w - 60. Suppose 4*a = 3*x + 30 + m, x - 20 = -a. Is 8 a factor of a? False Suppose -171*r - 66693 = -214*r. Is r a multiple of 106? False Let p(b) = 5*b**2 + 4*b + 9. Let v be p(6). Suppose v + 580 = 13*x. Is 11 a factor of x? False Suppose -33*w + 5414 = -13726. Is w a multiple of 24? False Let q(n) = -8*n**2 + 4*n + 3. Let m(t) = -17*t**2 + 9*t + 7. Let p(i) = 2*m(i) - 5*q(i). Is 9 a factor of p(-2)? True Let k = -167 + 713. Is k a multiple of 14? True Let t = 379 + -358. Is t a multiple of 12? False Suppose -t = -5*z + 2239, -4*z - 2*t + 1287 = -507. Does 8 divide z? True Let b = -1648 - -2578. Does 15 divide b? True Let a(y) = 2*y - 3. Let d be a(7). Let b be 2/d - (-2358)/99. Is b/8 - (-19)/1 a multiple of 7? False Let z(y) = y**3 + 13*y**2 + 7*y + 23. Let v(n) = n**2 - n. Let h(g) = -v(g) + z(g). Does 7 divide h(-11)? True Let n = -137 + 301. Does 28 divide n? False Is 87 a factor of -3 + 36/(-8)*1232/(-21)? True Let b = 662 + -450. Suppose 127 = 3*w + k, 5*w + 2*k = -0*w + b. Does 14 divide w? True Let v = -195 - -255. Is 11 a factor of v? False Let l(t) = -2*t**3 + 30*t**2 + 44*t - 9. Is l(16) a multiple of 11? False Suppose -3*m = -2*s + 13, 0 = 2*m - 3 + 9. Suppose 5*u = 3*j + 83, s*j - 5*j - 35 = -2*u. Does 8 divide u? True Let t be (-1)/(-1) + (-1)/(-1). Let i(u) = 5*u - 91. Let f be i(19). Suppose t*p = -f*w + 28, -2*p - 47 = -5*p - w. Is 12 a factor of p? False Suppose 27 = -n + 29. Suppose -n*t = -4*h, -3*t - 5*h + 33 = -0*h. Is t a multiple of 3? True Let y be (17 - 9)*(-1)/(-2). Suppose y*x - 17 = -5. Suppose -2*j + 3 = -x, -3*j = -p + 28. Does 17 divide p? False Let k(t) = 5*t + 9. Let p be k(-15). Does 16 divide (3*-1)/(p/1738)? False Suppose 2*m + 2321 = 5*r, -192 = -r + 3*m + 267. Is 24 a factor of ((-4)/(-5))/(6/r)? False Suppose -7*y + 4*y - 8748 = 0. Is (-2)/7 - y/63 a multiple of 9? False Let b = 2350 + -716. Does 11 divide b? False Is 13 a factor of (2 - -13)/(96/416)? True Let x(p) be the second derivative of -p**5/20 - 5*p**4/12 - p**3/3 + 11*p**2 + 5*p. Does 26 divide x(-5)? False Is ((-15)/45)/((-1)/6) + 538 a multiple of 12? True Let k(v) = v**2 + 7*v. Let c be k(-6). Let i be (2 - 83)/(-5 - c). Let x = i + 129. Is 16 a factor of x? True Let z = -16 - -11. Let q = z - -8. Suppose -130 = q*n - 8*n. Is 11 a factor of n? False Suppose 2*w = -c + 3*c - 32, 5*c - 96 = w. Let m = 26 + c. Let l = -7 + m. Is 13 a factor of l? True Let l(m) be the second derivative of m**5/20 - 2*m**4/3 + 3*m**3/2 - 5*m**2/2 - m. Let n(g) = -11*g - 37. Let b be n(-4). Does 9 divide l(b)? True Let q(f) = 83*f**2 - 3*f - 8. Let n be q(-2). Suppose n = x + 2*x. Is 13 a factor of x? False Suppose 4*k + t + 11 = 0, -5*k + 3*t = -t + 40. Let b(v) = -5*v**3 - 7*v**2 - 12*v - 14. Does 39 divide b(k)? False Suppose 75 = 5*t - 0*t. Suppose 11*p = t*p - 36. Does 2 divide p? False Let x = 106 - 102. Suppose 743 = -2*i - 97. Is 7 a factor of (x/6)/((-40)/i)? True Suppose -w + 3*b = 50, -b + 60 = -2*w - 3*b. Let d = w + 119. Does 18 divide d? False Is (-4584)/(-10) - (-23)/((-230)/4) a multiple of 32? False Let n(p) = -5*p + 76. Is n(10) a multiple of 13? True Suppose -3*j + 299 - 102 = 5*t, -83 = -2*t + 3*j. Suppose 43*w - 600 = t*w. Does 20 divide w? True Let a(u) = -3*u**3 + 9*u**2 + 4*u + 5. Is a(-4) a multiple of 29? False Let m = -4 + 9. Let r(t) = m*t + 0*t - 4 - 2*t - t**3 + 1 + 9*t**2. Is r(9) a multiple of 8? True Let g be 4*(3 + (-351)/(-4)). Suppose -6*t + g + 21 = 0. Does 18 divide t? False Suppose 74*x + 34*x - 66528 = 0. Is x a multiple of 11? True Let w be (-5 - -6)/(1/(-239)). Let x(f) = 2*f**3 + 5*f**2 - 4*f + 4. Let b be x(5). Let q = w + b. Is 20 a factor of q? True Let t be 2/(-3) + 52/(-12). Let y(f) = 4*f**2 + 11*f - 7. Is y(t) a multiple of 9? False Suppose -p - 2*t - 12 = 0, 0 = -5*p + 3*t - 10 + 2. Let r = -13 - -9. Is 11 a factor of 1 - (-10)/(p/r)? True Suppose -936 = -0*j - 4*j. Is 10 a factor of (-7)/((-21)/j) + 2? True Let z(d) = -d + 16. Suppose 2*i = -5*k - i - 75, -20 = 4*i. Is z(k) a multiple of 16? False Suppose -5*l = 2*k - 5790, 0 = -2*l + 5*l - 3*k - 3453. Is 30 a factor of l? False Let l = 484 - 330. Is 17 a factor of l? False Let r = -28 + 32. Let p = 32 - r. Does 7 divide p? True Let c(h) = 175*h - 23. Is 7 a factor of c(2)? False Let o be 13/(4/(12/3)). Let n = 4 - o. Let b(a) = -2*a - 3. Does 10 divide b(n)? False Suppose -m - f = -2960, 7*m - 8884 = 4*m - 5*f. Is 17 a factor of m? True Suppose 0 = -19*h + 25*h + 48. Is 6 a factor of h/(-6)*675/50? True Let n be ((-19)/2 + 1)*-2. Does 4 divide (-3)/6*2 + n? True Let c(v) = -v + 2. Suppose -j = j - 6. Let d(m) = -m**2 + 2*m - 3. Let s be d(j). Does 8 divide c(s)? True Let k = -20 + 39. Is 8 a factor of k? False Let i be 2 + (-4 - -2) - -2. Let c = 5 - 17. Does 17 divide i/(-6) - 412/c? True Let n(g) = 2*g - 8. Let x be n(6). Does 16 divide x*1 - (3 - 72)? False Let w = 1109 - 276. Is w a multiple of 17? True Let j(b) = 48*b**2 - 95*b. Does 4 divide j(4)? True Let b(s) = -s**2 - 11*s - 70. Let d be b(14). Let u = -236 - d. Does 30 divide u? False Suppose 3*x + 3 = -4*f - 0, f - 2*x = 13. Let t = 14 - 6. Suppose -t*o = -f*o - 90. Is 17 a factor of o? False Suppose -3*z + 5*s - 90 = -451, 0 = 2*z - 2*s - 238. Is 13 a factor of z? True Let x(a) = 125*a + 258. Is 7 a factor of x(6)? True Suppose 3*j + f + 3*f - 428 = 0, 3*f = -4*j + 573. Let b = -85 + j. Is b a multiple of 8? False Let m(s) = -s**3 + 14. Let z be m(0). Suppose -r = r - 66. Let c = r + z. Is 7 a factor of c? False Suppose -2*a + 5*n = 13 + 20, -15 = 2*a + n. Let q = a + 51. Is q a multiple of 19? False Suppose 4*w - 10982 = -2*p, 0*w - 5485 = -2*w + p. Is w a multiple of 14? True Does 9 divide 690/4 - 3*(-4)/(-24)? False Let r = 2031 + -1176. Let o = r - 580. Does 42 divide o? False Let c = 413 - -27. Does 22 divide c? True Let w(y) = -y**3 - 20*y**2 - 39*y - 17. Is w(-18) a multiple of 6? False Suppose -3*y = -4*n + 5, -3*n + 2*y - 9 = 4*y. Let o(r) = 95*r**3 - 8*r - 8. Let b(v) = 63*v**3 - 5*v - 5. Let w(x) = -8*b(x) + 5*o(x). Does 19 divide w(n)? False Let w(z) = -54*z**2 + z - 1. Let t(j) = 54*j**2 - j. Let r(d) = 3*t(d) + 2*w(d). Is r(-1) a multiple of 28? False Let x(g) = -16*g - 4. Let v(s) = s - 17. Let r be v(15). Is x(r) a multiple of 14? True Let j = 32 + -27. Let n(y) = -6*y - y + j - 5. Is 14 a factor of n(-2)? True Let x be (0 - 3)/((-1)/(-20)). Is 23 a factor of 2/8 + (-6285)/
{ "pile_set_name": "DM Mathematics" }
8782. 13 Calculate the highest common divisor of 83171 and 11. 11 Calculate the greatest common factor of 19211 and 2. 1 What is the highest common factor of 111169 and 38? 19 Calculate the greatest common divisor of 190 and 1786. 38 Calculate the highest common divisor of 36 and 443691. 9 What is the greatest common factor of 42666 and 624? 78 Calculate the highest common divisor of 868 and 580444. 124 What is the highest common factor of 115992 and 369? 9 What is the greatest common divisor of 864 and 3264? 96 Calculate the highest common factor of 54 and 22428. 18 What is the highest common divisor of 2793 and 101577? 147 Calculate the greatest common divisor of 260 and 33340. 20 Calculate the greatest common divisor of 364 and 25688. 52 What is the highest common factor of 603 and 2144? 67 Calculate the greatest common factor of 111120 and 100. 20 What is the greatest common factor of 8205 and 180? 15 Calculate the highest common divisor of 1656 and 270756. 828 What is the greatest common factor of 792 and 1021284? 396 What is the greatest common factor of 5239 and 33631? 169 What is the greatest common factor of 3667 and 27985? 193 What is the greatest common factor of 417 and 69500? 139 What is the highest common factor of 30 and 206670? 30 What is the highest common divisor of 1477 and 84? 7 What is the highest common factor of 2008 and 4112? 8 Calculate the greatest common divisor of 161460 and 368. 92 What is the greatest common divisor of 92 and 551402? 46 What is the greatest common divisor of 13260 and 102323? 221 Calculate the greatest common factor of 264389 and 17037. 631 What is the greatest common divisor of 403 and 144677? 403 What is the highest common factor of 36000 and 6600? 600 Calculate the greatest common divisor of 833 and 6229174. 833 Calculate the highest common factor of 775080 and 3240. 360 Calculate the greatest common divisor of 25102 and 169846. 326 What is the highest common factor of 472030 and 338? 26 What is the highest common divisor of 45501 and 522? 87 Calculate the highest common factor of 680 and 53380. 340 What is the highest common factor of 169 and 69615? 13 What is the greatest common divisor of 883759 and 398? 199 What is the highest common factor of 105 and 757197? 21 Calculate the greatest common factor of 24930 and 90. 90 What is the highest common factor of 424 and 853247? 53 Calculate the highest common factor of 5339 and 20513. 281 What is the greatest common factor of 314 and 74? 2 What is the highest common divisor of 200 and 2680? 40 Calculate the greatest common divisor of 6286 and 1274. 14 Calculate the highest common factor of 1038140 and 20. 20 Calculate the highest common divisor of 45 and 38345. 5 Calculate the highest common factor of 3116 and 17876. 164 What is the greatest common divisor of 930 and 5970? 30 Calculate the highest common divisor of 73218 and 36. 6 What is the greatest common divisor of 67184 and 832? 208 Calculate the highest common factor of 234305 and 10. 5 What is the greatest common divisor of 60 and 361170? 30 What is the greatest common factor of 454840 and 20? 20 Calculate the highest common divisor of 6789 and 1023. 93 Calculate the highest common factor of 2263 and 53878. 31 Calculate the greatest common factor of 1275 and 5625. 75 What is the highest common factor of 2623 and 301? 43 What is the greatest common divisor of 5875 and 329? 47 Calculate the greatest common divisor of 598 and 78. 26 Calculate the highest common factor of 18 and 118. 2 What is the greatest common divisor of 248 and 78182? 62 Calculate the greatest common divisor of 2604224 and 448. 448 Calculate the highest common factor of 35724 and 234. 78 What is the greatest common divisor of 133952 and 32? 32 Calculate the greatest common factor of 1816140 and 120. 60 Calculate the highest common divisor of 57799 and 1449. 161 Calculate the highest common divisor of 42840 and 8055. 45 Calculate the greatest common factor of 5790 and 70. 10 What is the greatest common factor of 471 and 237? 3 Calculate the highest common divisor of 4082 and 208. 26 What is the highest common divisor of 18948 and 120? 12 What is the highest common factor of 636 and 21048? 12 What is the greatest common factor of 24 and 40668? 12 What is the highest common factor of 1435582 and 68? 34 What is the highest common divisor of 262 and 1322? 2 Calculate the greatest common factor of 1613901 and 639. 213 Calculate the greatest common divisor of 158178 and 7134. 246 Calculate the highest common divisor of 17114 and 3698. 86 Calculate the highest common factor of 688 and 626. 2 Calculate the highest common factor of 4928 and 209. 11 Calculate the greatest common factor of 217896 and 42. 42 Calculate the greatest common divisor of 903 and 4311. 3 What is the highest common divisor of 19022 and 2? 2 Calculate the greatest common divisor of 48 and 98232. 24 What is the greatest common factor of 13728 and 3068? 52 What is the greatest common factor of 146 and 207101? 73 Calculate the highest common divisor of 5875146 and 18. 18 Calculate the greatest common factor of 60909 and 28677. 237 Calculate the greatest common factor of 53 and 478431. 53 What is the greatest common factor of 98555 and 92? 23 What is the highest common divisor of 243 and 5679? 9 What is the highest common factor of 6736 and 184? 8 Calculate the highest common factor of 11843 and 264190. 911 Calculate the highest common factor of 35979 and 5907. 537 What is the greatest common factor of 2872 and 9832? 8 Calculate the greatest common factor of 1887 and 377043. 51 Calculate the greatest common factor of 378 and 549528. 42 What is the highest common factor of 128 and 25016? 8 What is the greatest common divisor of 576 and 10665? 9 What is the greatest common factor of 206 and 64375? 103 Calculate the greatest common divisor of 176137 and 221. 221 What is the highest common factor of 25179 and 7392? 231 Calculate the greatest common factor of 160 and 93820. 20 Calculate the greatest common factor of 5310 and 2304. 18 Calculate the greatest common divisor of 82627 and 106. 53 What is the greatest common factor of 188 and 1779796? 188 What is the greatest common divisor of 160 and 8040? 40 Calculate the highest common factor of 4 and 14793. 1 Calculate the greatest common factor of 57694 and 29029. 91 Calculate the highest common factor of 60 and 20145. 15 What is the greatest common factor of 1890 and 429786? 378 What is the greatest common divisor of 838761 and 99? 33 What is the greatest common factor of 702 and 18954? 702 Calculate the highest common divisor of 348136 and 184. 8 Calculate the highest common factor of 5166 and 9409869. 2583 What is the greatest common divisor of 4550 and 9035? 65 What is the highest common factor of 15993 and 9? 9 Calculate the highest common factor of 5117 and 41839. 301 What is the highest common factor of 2235 and 38144? 149 What is the greatest common divisor of 7600 and 60? 20 What is the highest common factor of 2 and 134? 2 Calculate the greatest common factor of 344 and 108360. 344 What is the highest common divisor of 1015 and 2980? 5 Calculate the greatest common divisor of 105068 and 20. 4 What is the greatest common factor of 9482007 and 19? 19 Calculate the highest common divisor of 1218 and 310938. 174 Calculate the highest common factor of 38 and 1010. 2 What is the highest common factor of 60 and 80616? 12 Calculate the highest common divisor of 476 and 602056. 28 What is the greatest common factor of 2075931 and 1287? 1287 What is the highest common factor of 56 and 222208? 56 What is the highest common factor of 27 and 32787? 9 Calculate the highest common factor of 819 and 6461. 91 What is the greatest common divisor of 203 and 32219? 29 Calculate the greatest common divisor of 96 and 1844. 4 Calculate the highest common factor of 48 and 6828. 12 What is the highest common divisor of 320 and 2855360? 320 Calculate the highest common factor of 40 and 5120840. 40 What is the highest common divisor of 1284 and 30281? 107 Calculate the highest common divisor of 94931 and 2478. 59 Calculate the highest common factor of 1062 and 10502. 118 Calculate the highest common divisor of 8152 and 440. 8 What is
{ "pile_set_name": "DM Mathematics" }
from ffttfctffcttfctff. Give prob of picking 2 c and 1 t. 9/340 What is prob of picking 1 k and 3 l when four letters picked without replacement from lllllkllkl? 8/15 Three letters picked without replacement from {g: 4, x: 3}. What is prob of picking 2 x and 1 g? 12/35 Three letters picked without replacement from {l: 4, t: 1, h: 1, b: 2, e: 1}. Give prob of picking 2 l and 1 e. 1/14 Four letters picked without replacement from {o: 9}. Give prob of picking 4 o. 1 What is prob of picking 2 u, 1 p, and 1 h when four letters picked without replacement from {p: 1, h: 1, u: 3}? 3/5 Two letters picked without replacement from {n: 3, m: 5, k: 2, t: 2, s: 3}. Give prob of picking 1 m and 1 t. 2/21 Calculate prob of picking 3 b and 1 g when four letters picked without replacement from {b: 9, i: 1, g: 1}. 14/55 What is prob of picking 1 h and 1 q when two letters picked without replacement from {h: 1, q: 1, n: 2, o: 1}? 1/10 Calculate prob of picking 2 r and 2 i when four letters picked without replacement from {c: 2, t: 1, u: 1, r: 1, i: 1, k: 1}. 0 What is prob of picking 3 t when three letters picked without replacement from ttfsstttssttstttts? 55/272 Three letters picked without replacement from xuxuxuxduxu. What is prob of picking 2 x and 1 u? 10/33 What is prob of picking 1 c and 1 w when two letters picked without replacement from {w: 2, c: 2}? 2/3 Two letters picked without replacement from izpzizzzi. Give prob of picking 2 i. 1/12 Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, j: 1, s: 1, n: 2, k: 1, x: 2}. 1/36 Three letters picked without replacement from wkkkwkwkkwwkwwkk. What is prob of picking 3 w? 1/16 Four letters picked without replacement from xxfffffyffyyffyfyyf. What is prob of picking 1 y and 3 f? 165/646 What is prob of picking 1 t and 2 z when three letters picked without replacement from {t: 1, z: 7, g: 1}? 1/4 Three letters picked without replacement from {l: 6, r: 5, h: 2}. Give prob of picking 1 h and 2 l. 15/143 Two letters picked without replacement from nnkbukkkbbnkknbb. Give prob of picking 1 n and 1 u. 1/30 Calculate prob of picking 2 c and 1 r when three letters picked without replacement from {l: 1, c: 3, r: 2, f: 1}. 6/35 Calculate prob of picking 1 n and 1 y when two letters picked without replacement from qlllylyllnnnnlynnql. 2/19 What is prob of picking 2 o when two letters picked without replacement from {o: 9, n: 3}? 6/11 Three letters picked without replacement from {j: 7, w: 2}. What is prob of picking 2 j and 1 w? 1/2 Two letters picked without replacement from tjtttijo. Give prob of picking 1 j and 1 t. 2/7 Two letters picked without replacement from rcrcgwxgggyxyx. Give prob of picking 1 x and 1 w. 3/91 Four letters picked without replacement from bbbbbbbbbb. Give prob of picking 4 b. 1 What is prob of picking 1 t and 1 q when two letters picked without replacement from {u: 2, k: 2, t: 1, o: 2, q: 1}? 1/28 Three letters picked without replacement from {t: 9}. Give prob of picking 3 t. 1 What is prob of picking 2 f and 1 q when three letters picked without replacement from fnnnnxnxqqqx? 0 Two letters picked without replacement from ddddddiaad. Give prob of picking 1 d and 1 a. 14/45 Calculate prob of picking 1 d and 3 q when four letters picked without replacement from {q: 12, d: 3}. 44/91 Calculate prob of picking 1 s and 1 m when two letters picked without replacement from msmvm. 3/10 Two letters picked without replacement from rwrbrgpr. Give prob of picking 1 r and 1 g. 1/7 What is prob of picking 2 o and 1 c when three letters picked without replacement from vvtcoccctvovv? 2/143 What is prob of picking 1 m and 1 i when two letters picked without replacement from llilmlikipmmmamli? 5/34 What is prob of picking 2 n when two letters picked without replacement from {g: 1, a: 5, n: 3, c: 1, d: 1}? 3/55 Three letters picked without replacement from {k: 2, z: 4, o: 10}. What is prob of picking 2 k and 1 z? 1/140 What is prob of picking 2 j when two letters picked without replacement from {a: 7, j: 2}? 1/36 Two letters picked without replacement from zdbzodddidzii. Give prob of picking 1 b and 1 d. 5/78 What is prob of picking 2 t and 2 m when four letters picked without replacement from mcmtd? 0 Four letters picked without replacement from {k: 3, c: 2, y: 13}. Give prob of picking 1 y and 3 k. 13/3060 Calculate prob of picking 2 f when two letters picked without replacement from ftfftftttffff. 14/39 Two letters picked without replacement from {j: 9, i: 5}. Give prob of picking 1 i and 1 j. 45/91 Calculate prob of picking 2 e when two letters picked without replacement from jjjjdejjjjjjjjjjeddj. 1/190 Calculate prob of picking 3 b when three letters picked without replacement from {b: 7, z: 2}. 5/12 Calculate prob of picking 2 d and 2 j when four letters picked without replacement from ddjdjddjdddddj. 270/1001 Three letters picked without replacement from idwiwiwifiww. What is prob of picking 2 f and 1 i? 0 What is prob of picking 3 s when three letters picked without replacement from {s: 1, g: 2}? 0 Three letters picked without replacement from {g: 2, t: 1, p: 3, k: 4}. Give prob of picking 1 k and 2 p. 1/10 What is prob of picking 1 u and 2 y when three letters picked without replacement from nykkfunufyunoukkuuk? 2/323 Calculate prob of picking 2 o and 1 w when three letters picked without replacement from xxwwwooxwwwxwxw. 8/455 Two letters picked without replacement from vvvpvlvvwvvvbvpbel. What is prob of picking 1 l and 1 e? 2/153 Four letters picked without replacement from {k: 2, m: 5, r: 6}. Give prob of picking 3 m and 1 k. 4/143 Two letters picked without replacement from vvvvdmpvvddvfdvf. What is prob of picking 1 f and 1 m? 1/60 What is prob of picking 1 e, 2 d, and 1 c when four letters picked without replacement from {f: 3, d: 5, e: 1, c: 3, x: 1, a: 1}? 30/1001 Four letters picked without replacement from {w: 2, h: 3, f: 6, n: 4, c: 1}. Give prob of picking 1 w, 2 n, and 1 h. 9/455 Three letters picked without replacement from fjpphfpffppppjpffh. What is prob of picking 1 j and 2 f? 5/136 Two letters picked without replacement from {v: 1, g: 1, o: 5, y: 7}. What is prob of picking 2 o? 10/91 Four letters picked without replacement from ttttttjtttj. What is prob of picking 4 t? 21/55 Two letters picked without replacement from aabbaaa. What is prob of picking 1 b and 1 a? 10/21 Three letters picked without replacement from {j: 1, h: 2, i: 2, p: 1, u: 1, c: 2}. Give prob of picking 1 p and 2 i. 1/84 Calculate prob of picking 3 g when three letters picked without replacement from ggggggggggggvgvggggg. 68/95 Calculate prob of picking 1 a, 1 m, and 1 g when three letters picked without replacement from {a: 4, g: 5, m: 6}. 24/91 Calculate prob of picking 1 j and 2 i when three letters picked without replacement from iiiiiijiiiiiiiiiiii. 3/19 Calculate prob of picking 4 c when four letters picked without replacement from {v: 6, x: 4, c: 5}. 1/273 What is prob of picking 1 p and 1 r when two letters picked without replacement from {r: 1, f: 4, v: 1, t: 5, p: 1, z: 1}? 1/78 Two letters picked without replacement from oowo. What is prob of picking 1 w and 1 o? 1/2 What is prob of picking 1 f and 1 i when two letters picked without replacement from {o: 1, e: 7, f: 8, i: 4}? 16/95 Calculate prob of picking 2 d, 1 f, and 1 r when four letters picked without replacement from {r: 2, z: 1, d: 4, f: 7}. 12/143 What is prob of picking 1 y and 3 d when four letters picked without replacement from tdydyydyyydydytn? 4/91 What is prob of picking 1 y and 1 f when two letters picked without replacement from {f: 8, z: 2, y: 2, o: 5, v: 3}? 8/95 What is prob of picking 3 d when three letters picked without replacement from {l: 2, f: 2, r: 1, d: 4, a: 1, v: 2}? 1/55 Calculate prob of picking 1 x and 3 i when four letters picked without replacement from {x: 5, i: 7}. 35/99 Three letters picked without replacement from {c: 5, b: 1, y: 2, t: 1}. Give prob of picking 1 t and 2 y. 1/84 Four letters picked without replacement from zoows. What is prob of picking 1 s, 2 o, and 1 z? 1/5 Three letters picked without replacement from {k: 5, e: 8}. What is prob of picking 1 e and 2 k? 40/143 W
{ "pile_set_name": "DM Mathematics" }
sqrt(9))) + -3 + 3 + -5)**2*5. -25*sqrt(3) + 515/4 Simplify (-4*(sqrt(128) + -1))**2*4 - ((sqrt(32)*1 - (1 + sqrt(2))*-3) + -5)**2. -996*sqrt(2) + 8154 Simplify (sqrt(4235)*2)/sqrt(5) - (3 + (sqrt(7) - sqrt(28)/sqrt(4)) + 2). -5 + 22*sqrt(7) Simplify (((sqrt(392)/sqrt(28))/sqrt(8) - (sqrt(7)*1 + 2)*-5) + 0)**2. 110*sqrt(7) + 1247/4 Simplify (-1*((sqrt(1664) - (sqrt(1664) - (sqrt(1664) + (sqrt(1664) - (sqrt(1664) + sqrt(1664)*2))))) + sqrt(1664)))/(-1*sqrt(2)*-6*-6). 0 Simplify ((sqrt(17) - sqrt(119)/(sqrt(42)/sqrt(6))) + (sqrt(17) - (3 + sqrt(17))*1))**2*2. 18 Simplify ((sqrt(242))**2 + -2 + -3)*-3*-4. 2844 Simplify ((-4*3*sqrt(78) + sqrt(78) - sqrt(78))/(sqrt(30)/(sqrt(40)/sqrt(8))))**2. 1872 Simplify (((sqrt(16) + sqrt(64)/sqrt(4) + sqrt(16))/sqrt(8) - -5*(0 + sqrt(2))) + (sqrt(72) - (sqrt(72)*1 + sqrt(72) - sqrt(72) - sqrt(72)))*5*-2)**2. 5408 Simplify (-4*-6*(sqrt(512) + sqrt(512) + -1 + 4))**2. 110592*sqrt(2) + 1184832 Simplify (sqrt(88)/(sqrt(77)/sqrt(7)*6))/(sqrt(100) + -5*(sqrt(100) - (-2*sqrt(100) + sqrt(100))) + sqrt(100) - sqrt(100) - sqrt(100)). -sqrt(2)/300 Simplify -6*(-2*sqrt(57)*-4)/sqrt(3) - ((1*(2*sqrt(95) + sqrt(95)) - sqrt(95))/(sqrt(5) - sqrt(720)))**2. -48*sqrt(19) - 76/121 Simplify (sqrt(228)*1*-4 + sqrt(228) + 1*1*sqrt(228))/(((sqrt(108) - sqrt(108)*-1)*-2)/sqrt(9)). sqrt(19)/2 Simplify -1 + sqrt(42)/(2*sqrt(24)) + 6*sqrt(126)/sqrt(2). -1 + 73*sqrt(7)/4 Simplify 2 + ((sqrt(114) + (sqrt(114) - (-3*sqrt(114)*2 - sqrt(114))))/(2*sqrt(600)) + 0)**2. 2339/400 Simplify (sqrt(204) + -1*(sqrt(204) + (2*sqrt(204) - sqrt(204))) - 6*(sqrt(204) - (sqrt(204)*1 + sqrt(204))))/((sqrt(300) - 1*sqrt(300)) + 2*sqrt(12)*3). 5*sqrt(17)/6 Simplify (sqrt(60)/(sqrt(5) - 3*sqrt(20)/sqrt(4)))/(-2*sqrt(144) + (sqrt(48)/sqrt(2))/sqrt(6)). sqrt(3)/22 Simplify -2*(sqrt(304) + 1 + sqrt(304))*-1 - (-1 + sqrt(304)*2)*-1. 1 + 24*sqrt(19) Simplify (sqrt(24) - sqrt(1944)*-1)/(sqrt(768) - (sqrt(768) + sqrt(768) + sqrt(768) + sqrt(768)*2))*5. -25*sqrt(2)/16 Simplify (-2*(sqrt(684) - (sqrt(684) + (sqrt(684)*1 - sqrt(684))*-3) - (-2 + 2*sqrt(684))))**2*-2. -21920 + 384*sqrt(19) Simplify ((sqrt(50) + 2)*-2 - (1*((sqrt(18) - (sqrt(90)/sqrt(5) + sqrt(18))) + sqrt(18))/sqrt(9))**2) + 4. -10*sqrt(2) Simplify -1*(-4 + (-5 + -2 + sqrt(931))**2). -976 + 98*sqrt(19) Simplify ((-1*(sqrt(18) + sqrt(18)*1) + 0)*-2)**2 + -2 + 4. 290 Simplify ((sqrt(120)*1)/sqrt(8) + sqrt(165)/(sqrt(11)*2))/(sqrt(10)/sqrt(2)*1 + sqrt(40)/(sqrt(8) + sqrt(32))). 9*sqrt(3)/8 Simplify ((sqrt(170)*-2)/sqrt(10))**2 + sqrt(17) + sqrt(17) + ((sqrt(425) + -1)**2 - sqrt(425)) - ((sqrt(425)*-2)**2 + -4). -1202 - 13*sqrt(17) Simplify (sqrt(85) - (sqrt(85) + 5*(sqrt(85) - sqrt(85)*-1 - sqrt(85))) - (sqrt(85) + sqrt(85)*1 - sqrt(85))*-4)/((sqrt(5) - sqrt(50)/sqrt(40))*5). -2*sqrt(17)/5 Simplify ((-2 + (sqrt(5) - sqrt(5)*-4) + 2 + sqrt(5) + -2)*-5)**2. -600*sqrt(5) + 4600 Simplify -1*-4*(sqrt(275) + 4 + -5 - sqrt(275))**2. 4 Simplify (sqrt(605) + 0 + sqrt(5) + 4)**2 - (sqrt(5) - sqrt(60)/(sqrt(12)*-4))*2. 187*sqrt(5)/2 + 736 Simplify (sqrt(51)/sqrt(3) + -4)**2 + (-2*sqrt(153))/sqrt(9) + -5*sqrt(2057)*-2. 33 + 100*sqrt(17) Simplify sqrt(84)/sqrt(7)*-2*2 + 0. -8*sqrt(3) Simplify ((sqrt(216)*-6 - (sqrt(24) - (sqrt(24) - (sqrt(240)/(sqrt(10) + sqrt(10) + sqrt(40)) - sqrt(24) - sqrt(24)))))/(1*sqrt(1452)*-4))**2. 4225/15488 Simplify sqrt(637) + -5*(sqrt(637) + -2)**2 + -5*(sqrt(78)/(-2*sqrt(6)))**2. -12885/4 + 147*sqrt(13) Simplify ((sqrt(63) - sqrt(189)/(sqrt(12)/sqrt(4)))*5)/((sqrt(90)*1*4 - sqrt(90))/sqrt(10)). 0 Simplify sqrt(95)/(sqrt(5) - 3*sqrt(180)) - ((1 + sqrt(1539))*-2 + sqrt(1539))**2. -1543 - 613*sqrt(19)/17 Simplify -3 + ((-2*sqrt(84)*-1 + sqrt(84))/sqrt(192))**2. 15/16 Simplify (-1*((sqrt(243) - (sqrt(243)*1*-5 - sqrt(243))) + sqrt(243) + sqrt(243) + (sqrt(243) + 2)*-4 + -5))**2. -1170*sqrt(3) + 6244 Simplify (sqrt(19) - (sqrt(57)/(sqrt(3)*-1))**2 - (-2 + sqrt(76))) + (sqrt(4617)*-1 - sqrt(4617))/sqrt(3). -19*sqrt(19) - 17 Simplify ((-1*5*sqrt(2299) + (sqrt(2299) + 5 + (sqrt(2299)*4 - sqrt(2299)) - sqrt(2299)))*1)**2. -220*sqrt(19) + 9221 Simplify ((sqrt(66) + sqrt(66) + -3*(sqrt(66) - sqrt(66)*-1) - sqrt(66) - sqrt(66)) + sqrt(66) + 2*-2*sqrt(66))/(3*(sqrt(24)/sqrt(4) + sqrt(6))*-1). 3*sqrt(11)/2 Simplify (1*sqrt(7920) + sqrt(7920))/(2*sqrt(275)) + 5 + sqrt(20) + (sqrt(320) - sqrt(320)*-1). 5 + 102*sqrt(5)/5 Simplify (-3 + sqrt(7)*5 + 5 - (-2 + 5*sqrt(700))**2)*3. -52506 + 615*sqrt(7) Simplify 2 + sqrt(5) + (-3 + 2 + sqrt(5))**2 - (sqrt(720)*-2)**2. -2872 - sqrt(5) Simplify 1 + (-2*sqrt(6292))/(-2*sqrt(32)/sqrt(8)). 1 + 11*sqrt(13) Simplify ((-2*(sqrt(70) + (1*sqrt(70) - sqrt(70) - sqrt(70) - sqrt(70))) + sqrt(70) + sqrt(70) + -2*sqrt(70)*-5)/(4*1*sqrt(360)))**2 + 5. 1063/144 Simplify 6*((6*(sqrt(704) + sqrt(704) + 2 + sqrt(704)))**2 - (2 + sqrt(704) + 0 - sqrt(704))). 20736*sqrt(11) + 1369428 Simplify (sqrt(396)*4 - sqrt(396))/sqrt(4) - (3 + (sqrt(11) - (sqrt(11) + (3 + -4*sqrt(11) - sqrt(11)))))**2. -275 + 9*sqrt(11) Simplify (sqrt(1377)*2*-1 - (2*sqrt(1377) + -5))**2 + (2 + (sqrt(1377)*-1 - sqrt(1377)) + sqrt(1377) - sqrt(1377) - -2*sqrt(1377)*-1)**2. -504*sqrt(17) + 44093 Simplify 0 + (sqrt(45)*1)**2 + (0 + sqrt(5))*5 + sqrt(5) + (sqrt(30)/sqrt(24) + -2)**2. 4*sqrt(5) + 201/4 Simplify ((sqrt(832)*1 - sqrt(832))**2 - (1 + sqrt(1300))**2) + 1 + sqrt(325) + sqrt(13) + -5. -1305 - 14*sqrt(13) Simplify ((-1*sqrt(84)/sqrt(6))/(sqrt(2) + sqrt(242) + (sqrt(242) + -1*sqrt(242) - sqrt(242)) + sqrt(2)))**2. 7/4 Simplify ((((sqrt(170)*1 - sqrt(170)) + sqrt(170))*-2)/(-2*sqrt(10)*-1))**2 + 4. 21 Simplify (sqrt(152) - (sqrt(152) - (sqrt(152) - 3*((sqrt(152)*-2 - sqrt(152)) + sqrt(152)))))/(sqrt(72)/(sqrt(9)*-1))*-3. 21*sqrt(19) Simplify ((sqrt(1225)*-2*1)/(sqrt(28) + sqrt(168)/(sqrt(18)/sqrt(3))))**2. 175/4 Simplify sqrt(891)*2 + 5 + 5 + sqrt(891) + (sqrt(891) + 5*sqrt(891)*2)**2 + sqrt(891)*2*4. 99*sqrt(11) + 107821 Simplify (sqrt(140) + -2*sqrt(140)*-2)/((2*sqrt(14))/sqrt(2)) + -5. -5 + 5*sqrt(5) Simplify (-2 + (-4 + sqrt(76) + 1 - -5*(sqrt(76)*-2 - sqrt(76))))**2. 280*sqrt(19) + 14921 Simplify (5*(sqrt(136) + sqrt(136)*1*2)/(sqrt(96)/(sqrt(12) + sqrt(60)/sqrt(5))))**2. 15300 Simplify ((-1*2*sqrt(3300))/(3*1*sqrt(1100)))**2. 4/3 Simplify (2 + -4 + sqrt(15)/sqrt(12))**2 - 4*(sqrt(80) - (1 + sqrt(80) - sqrt(80)))*4. -66*sqrt(5) + 85/4 Simplify 1*(-2 + sqrt(176)*1 + (-1*(sqrt(11) - 2*sqrt(11)*-1))**2). 4*sqrt(11) + 97 Simplify -5 + (5*5*-2*sqrt(102))/(sqrt(48)/(sqrt(8) - sqrt(80)/sqrt(40))). -25*sqrt(17) - 5 Simplify ((sqrt(10) - sqrt(250) - sqrt(10))*6)/(sqrt(2) + sqrt(20)/sqrt(640)). -80*sqrt(5)/3 Simplify (3 + sqrt(1377) + -1)**2 + ((-3*sqrt(1377))**2 + 3 - sqrt(1377)). 27*sqrt(17) + 13777 Simplify 3*(sqrt(324)/(sqrt(12) + (sqrt(72)/sqrt(6) + sqrt(12) - sqrt(12))))/(sqrt(9) + sqrt(9) + sqrt(9) + sqrt(108)/(sqrt(60)/sqrt(5))). 3*sqrt(3)/8 Simplify 1*((1*sqrt(85) + sqrt(85))*-4)/(sqrt(10)/(sqrt(6)/sqrt(3))). -8*sqrt(17) Simplify -4*(((3*sqrt(152)*-1 + sqrt(152))/sqrt(8))**2 + (-2*sqrt(19) - sqrt(19))**2 + 0 + (sqrt(304) + sqrt(304)*2 - sqrt(304))**2). -5852 Simplify (sqrt(231)/sqrt(176) + sqrt(21) + sqrt(21))/(sqrt(567)*1). sqrt(3)/4 Simplify -5 + (sqrt(20)*-4 + sqrt(5) + 1 - (5 + (3 + sqrt(320))**2)). -338 - 55*sqrt(5) Simplify ((sqrt(44)*4 - (sqrt(1584) + -2 + sqrt(1584))**2) + 1)*-3. -312*sqrt(11) + 19017 Simplify 3*(5 + 1*sqrt(200) + 3*(-2*sqrt(200))**2 + 1). 30*sqrt(2) + 7218 Simplify 4 + (sqrt(1425)/sqrt(3)*-6)**2 + sqrt(95)/((sqrt(165)/sqrt(3))/sqrt(11)). sqrt(19) + 17104 Simplify (3 + (sqrt(448) - (sqrt(448) + -1 + sqrt(448))) - (-2*sqrt(448) + 4))**2 + 3*sqrt(448)*1*3. 72*sqrt(7) + 448 Simplify ((1 + sqrt(75) + sqrt(75))*4 + 1*sqrt(75) + 0 + 1 + sqrt(75) + 4 + -2*-2*sqrt(75))**2. 1260*sqrt(3) + 14781 Simplify (-2*(sqrt(405)/(sqrt(9)*3) - sqrt(45)))/(1*sqrt(36) - sqrt(81)/(sqrt(36)/sqrt(4))). 4*sqrt(5)/3 Simplify (5*sqrt(168)/sqrt(3))/(sqrt(8) - (3*sqrt(8) + sqrt(8))*-2). 5*sqrt(7)/9 Simplify -2*(0 + sqrt(242) + 0 - sqrt(242) - (sqrt(242)*-1*6 - sqrt(242)))*1*5. -770*sqrt(2) Simplify (sqrt(108)*-6)/(sqrt(54)*1) + (sqrt(2) - sqrt(32)*-3 - sqrt(2)*1*-3)**2*5. -6*sqrt(2) + 2560 Simplify (sqrt(1584)*-5)/(sqrt(64)*5 - sqrt(64) - sqrt(64) - sqrt(64)) + 3 + 1. -15*sqrt(11)/4 + 4 Simplify -5 + (((
{ "pile_set_name": "DM Mathematics" }
lculate prob of picking 4 c when four letters picked without replacement from cccccc. 1 Three letters picked without replacement from {v: 1, p: 1, f: 2, e: 1, t: 1, y: 1}. What is prob of picking 1 e, 1 p, and 1 t? 1/35 Calculate prob of picking 2 h, 1 t, and 1 o when four letters picked without replacement from otdhtwdhtjwtoh. 24/1001 What is prob of picking 2 o and 1 d when three letters picked without replacement from ddbdododdbdoodododd? 55/323 What is prob of picking 2 p and 1 b when three letters picked without replacement from bbbpjbjppppbpbb? 3/13 Three letters picked without replacement from wsssssphsssswss. Give prob of picking 3 s. 33/91 What is prob of picking 1 d, 1 q, and 2 o when four letters picked without replacement from ooboobdoqboqoqqbqq? 7/170 What is prob of picking 1 a and 1 q when two letters picked without replacement from eveaeaeqeeeaeaq? 8/105 Two letters picked without replacement from {u: 1, n: 1, a: 2, d: 5}. What is prob of picking 1 a and 1 d? 5/18 Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {v: 4, i: 3, e: 5}. 5/22 Three letters picked without replacement from {g: 3, d: 5, j: 1, v: 1, c: 2}. Give prob of picking 1 d and 2 c. 1/44 Calculate prob of picking 2 s when two letters picked without replacement from gdsssgsgnsss. 7/22 Three letters picked without replacement from pppiiiiiii. Give prob of picking 2 i and 1 p. 21/40 What is prob of picking 1 y and 1 t when two letters picked without replacement from {k: 1, x: 6, w: 2, t: 2, q: 6, y: 3}? 3/95 Calculate prob of picking 1 v and 1 c when two letters picked without replacement from {j: 4, y: 1, v: 4, c: 4, b: 3}. 2/15 Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {x: 2, a: 1, m: 1, y: 2, e: 2}. 1/28 Three letters picked without replacement from {q: 5, v: 5, y: 8}. Give prob of picking 1 q and 2 y. 35/204 Calculate prob of picking 2 q when two letters picked without replacement from lxlllxqlxxql. 1/66 Two letters picked without replacement from enkknnekknnnn. Give prob of picking 2 k. 1/13 Four letters picked without replacement from {y: 1, t: 3, u: 10, e: 1, c: 5}. What is prob of picking 3 u and 1 c? 40/323 Calculate prob of picking 1 t, 1 r, and 2 m when four letters picked without replacement from {s: 1, t: 5, m: 3, r: 1, z: 1, d: 2}. 3/143 Calculate prob of picking 2 o when two letters picked without replacement from {r: 4, o: 3, h: 1}. 3/28 What is prob of picking 1 x and 3 e when four letters picked without replacement from {x: 1, q: 5, p: 3, e: 4}? 4/715 What is prob of picking 3 o and 1 k when four letters picked without replacement from kuounmeme? 0 What is prob of picking 1 o and 2 l when three letters picked without replacement from molhlm? 1/20 Four letters picked without replacement from xtetk. Give prob of picking 1 x, 1 e, and 2 t. 1/5 Calculate prob of picking 1 b and 1 f when two letters picked without replacement from fxfffffffhbffxxfhff. 13/171 Two letters picked without replacement from clcllclclpelccc. Give prob of picking 1 l and 1 p. 2/35 Calculate prob of picking 1 t and 2 v when three letters picked without replacement from tttstsvsvttttssv. 3/70 Calculate prob of picking 1 u and 3 g when four letters picked without replacement from gugugggu. 3/7 Calculate prob of picking 3 a when three letters picked without replacement from {u: 1, q: 5, a: 3, v: 5, s: 1}. 1/455 Calculate prob of picking 1 u and 1 v when two letters picked without replacement from uuvuiuvum. 5/18 Calculate prob of picking 1 p and 1 o when two letters picked without replacement from gggokhphhghpvkogpggp. 4/95 Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkuuku. 1/6 What is prob of picking 1 h and 2 e when three letters picked without replacement from teeheheh? 9/28 Four letters picked without replacement from wkkkkkw. Give prob of picking 4 k. 1/7 Two letters picked without replacement from kkbklbypllx. Give prob of picking 1 x and 1 k. 3/55 What is prob of picking 1 d and 1 a when two letters picked without replacement from ardmrdaadadraramda? 35/153 Four letters picked without replacement from {w: 1, d: 4, j: 2, n: 1, e: 1}. Give prob of picking 1 n, 2 d, and 1 w. 1/21 Two letters picked without replacement from ssssvsss. What is prob of picking 2 s? 3/4 Calculate prob of picking 4 f when four letters picked without replacement from {i: 5, f: 8, g: 3}. 1/26 Four letters picked without replacement from jvwtjwgkwjwtw. Give prob of picking 2 g, 1 k, and 1 t. 0 Two letters picked without replacement from jttz. Give prob of picking 1 t and 1 j. 1/3 Three letters picked without replacement from {k: 9, q: 1, t: 4}. Give prob of picking 1 q and 2 k. 9/91 Calculate prob of picking 4 p when four letters picked without replacement from {p: 7}. 1 Calculate prob of picking 2 x when two letters picked without replacement from {x: 8, g: 2}. 28/45 Three letters picked without replacement from qqllqqqqlqqqql. Give prob of picking 1 q and 2 l. 15/91 Calculate prob of picking 1 z and 2 c when three letters picked without replacement from {u: 1, k: 5, f: 2, w: 5, c: 4, z: 3}. 3/190 Four letters picked without replacement from {n: 4, i: 1, d: 1, f: 5, x: 4}. Give prob of picking 1 d and 3 n. 4/1365 What is prob of picking 1 c and 2 i when three letters picked without replacement from {c: 2, i: 3}? 3/5 Calculate prob of picking 1 a and 1 o when two letters picked without replacement from aaom. 1/3 Three letters picked without replacement from {n: 4, d: 4, h: 2, t: 2, u: 2}. What is prob of picking 1 d and 2 h? 1/91 What is prob of picking 1 v and 1 k when two letters picked without replacement from vvkkokwvkvkkvkvvvvo? 7/19 Calculate prob of picking 3 y when three letters picked without replacement from {h: 1, y: 5, s: 1, z: 1, d: 1, v: 3}. 1/22 Three letters picked without replacement from {r: 7, j: 12}. Give prob of picking 2 r and 1 j. 84/323 What is prob of picking 1 h and 1 t when two letters picked without replacement from auhuchhxhhhhth? 8/91 What is prob of picking 1 t and 2 q when three letters picked without replacement from {t: 1, k: 4, s: 1, q: 2}? 1/56 Calculate prob of picking 1 y and 1 m when two letters picked without replacement from mzvyr. 1/10 Three letters picked without replacement from {l: 1, p: 1, d: 1, e: 1, s: 1}. What is prob of picking 1 s, 1 p, and 1 d? 1/10 Three letters picked without replacement from uuuiuuueeuuuuou. Give prob of picking 1 o, 1 e, and 1 u. 22/455 What is prob of picking 3 f when three letters picked without replacement from {f: 17, a: 2}? 40/57 Two letters picked without replacement from {o: 2, k: 2}. Give prob of picking 1 k and 1 o. 2/3 What is prob of picking 3 x when three letters picked without replacement from {x: 5, j: 8, w: 2}? 2/91 What is prob of picking 2 k, 1 e, and 1 d when four letters picked without replacement from kpepyseekpeed? 1/143 What is prob of picking 3 o when three letters picked without replacement from ooooooooo? 1 Two letters picked without replacement from ttahhdt. What is prob of picking 1 a and 1 t? 1/7 Calculate prob of picking 1 s and 1 i when two letters picked without replacement from isikifkiiirikkf. 1/15 Three letters picked without replacement from cddc. Give prob of picking 2 d and 1 c. 1/2 Four letters picked without replacement from {l: 1, c: 1, m: 1, t: 3, h: 1}. Give prob of picking 1 m, 1 h, 1 l, and 1 t. 3/35 What is prob of picking 1 n and 1 e when two letters picked without replacement from {n: 3, e: 4}? 4/7 Three letters picked without replacement from bbbhahabbh. Give prob of picking 1 a, 1 b, and 1 h. 1/4 What is prob of picking 2 x and 1 z when three letters picked without replacement from wwwwxwxzzz? 1/40 Calculate prob of picking 4 v when four letters picked without replacement from {h: 3, y: 1, n: 5, z: 6, v: 5}. 1/969 Three letters picked without replacement from {u: 2, k: 3, z: 2, q: 3, p: 6}. What is prob of picking 1 k and 2 z? 3/560 Calculate prob of picking 1 g and 3 o when four letters picked without replacement from {o: 4, g: 1, d: 1, y: 2, h: 2}. 2/105 What is prob of picking 1 p and 1 j when two letters picked without replacement from pepejaltapej? 1/11
{ "pile_set_name": "DM Mathematics" }
Let c = -31 + 26. Is 10 a factor of k(c)? False Is 395 - ((-4)/6)/((-4)/48) a multiple of 37? False Suppose -45158 = -4*g - 2*z, -18*z + 21*z + 56442 = 5*g. Does 53 divide g? True Let u = -11 + -17. Let t be (0 + 2)*1722/u. Is 2 - t - (-5 + 4) a multiple of 9? True Is 94 a factor of (-11)/(99/(-564))*819/26? True Suppose w - 49 = 23. Let r = w + -128. Let o = -23 - r. Is o a multiple of 9? False Let y = -1140 - -2907. Suppose 0 = -6*l + y + 1935. Does 37 divide l? False Let m be 6*6 + (-7 - -4). Let g be (-3280)/(-12)*(m/15 + -1). Let r = g + -203. Is 52 a factor of r? False Let g be (-24)/10*(-5)/2. Suppose 0 = g*b - 2*b - 16. Does 14 divide (-540)/(-10) + -2 + b? True Suppose 3*w = 7 + 5. Suppose 0 = -6*p + w - 4. Suppose 4*k + 2*u + u - 32 = p, -34 = -2*k + 3*u. Is k a multiple of 5? False Suppose -56012 = 152*q - 171*q. Does 9 divide q? False Is (3/(-42) + (-10575)/(-658))/((-2)/(-50)) a multiple of 16? True Suppose 0 = -9*z + 51 - 33. Suppose z*t + 0*g = -g + 68, -g = 4. Does 6 divide t? True Suppose k = -4*w - 0*k - 19, -3*w - 4*k - 24 = 0. Let s be 12/4 + -2 - w. Suppose 432 = 4*z - s*d, 5*d = 4*z + 2*d - 432. Is z a multiple of 25? False Let a(d) = 7*d**3 - 19*d**2 + 97*d - 1984. Is a(18) a multiple of 11? True Let o(s) be the second derivative of -5*s**2 + 0 + 1/6*s**4 - 7/6*s**3 - 10*s. Is o(10) a multiple of 20? True Let n(u) = -100*u + 1650. Is n(-9) a multiple of 34? True Suppose -2295 = -26*x + 9*x. Does 10 divide (4 - x/(-1))*1? False Let n be (-18)/(-10) - 1/(-5). Let x(g) = 26*g**3 - 5*g**2 + 6*g - 10. Is x(n) a multiple of 19? True Let f be -4*(-1 + 2/(-16)*-2). Suppose -r - 9 = 2*a, -4*r + 6*r = -f*a - 16. Is (0 - 69)/1*(a - 1) a multiple of 32? False Let g(z) = -4916*z**3 + 8*z**2 + z - 3. Is 39 a factor of g(-1)? False Is 14 a factor of -24 - (-14 - (-8 + 172))? True Let l(y) = 4*y**2 + 6*y - 1. Let d(g) = -3*g**2 - 7*g + 1. Let j(b) = 3*d(b) + 4*l(b). Let a be j(2). Suppose 2*u = 3*o + a, -o + 3 = 2*o. Is u a multiple of 8? False Suppose 0 = 5*q - 5*v - 12025, -44*q + 41*q + 2*v = -7210. Is q a multiple of 15? True Is (-13041)/(-8) + (-11)/88 a multiple of 48? False Let o(f) = f**3 + 8*f**2 - 32*f + 13. Let g be o(-11). Suppose 19*n - 21*n = g*v - 1180, -1178 = -2*v - n. Is 42 a factor of v? True Suppose -4*s + 2*a + 286 = 0, s - 79 = 5*a - 6*a. Let f = -9 + s. Does 6 divide f? False Suppose 367*p - 364*p + 2*v - 13668 = 0, 4*p + 2*v = 18228. Is p a multiple of 12? True Let a be -8 - (-63)/7 - -2. Let b(m) = 91*m**2 + 2*m - 8. Is 11 a factor of b(a)? False Let w be 26/117 + 18219/27 + 1. Let f = w + -94. Is 4 a factor of f? False Suppose 0 = -10*l + 13*l. Suppose 0*x - 3*x + 61 = 5*j, j + 3*x - 5 = l. Let m = j - 10. Is 3 a factor of m? False Let y(n) = 7*n**3 + 4*n**2 - n - 1. Let p(t) = 15*t**3 + 7*t**2 - t - 3. Let q(f) = -2*p(f) + 5*y(f). Is 21 a factor of q(2)? False Suppose 4*v = -3*c + 7071, 1342 + 440 = v - 4*c. Is 3 a factor of v? True Let t = -16 + -8. Suppose 3*b = -5*g - 20, -3*b + 3*g + 12 = -6*b. Does 6 divide t*(b + 15/6 - 3)? True Let q(r) = 4*r**2 - 219 - 7*r + 448 - 209. Is 11 a factor of q(13)? True Let g(v) be the third derivative of 199*v**5/60 - v**4/3 + 7*v**3/6 - 5*v**2. Let a(r) = -75*r - 374. Let q be a(-5). Is g(q) a multiple of 21? False Is 16 a factor of (-40)/(-5) - 4*34796/(-16)? False Let c(y) = y**2 - 4*y - 1. Let g be c(5). Suppose 2*m - g*u = 62, m - 36 = -0*m + 3*u. Suppose -m*k - 180 = -24*k. Does 30 divide k? True Suppose 5*b - 2*f + 61 = 47, -8 = -4*f. Does 14 divide (1533 - -14) + (-1 - (b + 3))? False Let b be 120/14*(-14)/(-4). Suppose -y = -6*y + b. Does 26 divide (y/(-15) + 262/5)*1? True Let l = 39 - 59. Let w(o) = -o - 39. Let i be w(l). Let n(g) = -g + 36. Does 11 divide n(i)? True Let h be ((-180)/1)/(-5)*(-7)/(-21). Suppose h*f - 10416 = -2928. Does 8 divide f? True Let p be -4*7/238 - (-2)/17. Suppose -394*t + 398*t - 352 = p. Is t a multiple of 66? False Let j(p) be the third derivative of -20*p**4/3 - 15*p**3/2 + 57*p**2. Does 15 divide j(-3)? True Suppose -179*u = -175*u + d - 32417, u - d - 8098 = 0. Is 18 a factor of u? False Let j(x) = -26 - 14 + 2*x + 75 - 18 - x. Let g be 2 + -2*1 + 7. Is j(g) a multiple of 10? False Suppose 4*m - 142*j = -141*j + 1320, -3*m + 2*j = -990. Is 6 a factor of m? True Let f = -37223 - -44867. Is 13 a factor of f? True Suppose 0 = -2*j - 16*o + 12*o + 218, -331 = -3*j - 2*o. Does 4 divide j? False Suppose -3*y = -5*i + 20 + 35, -2*i + 3*y + 22 = 0. Let b(k) = 3*k**2 + 14*k - 50. Is b(i) a multiple of 38? False Does 30 divide (-72)/14*69/(1035/(-3500))? True Suppose 0 = -2*c + 6 + 16. Let y(q) = 19*q**2 + 21*q - 7. Let x(m) = -11*m**2 - 11*m + 4. Let n(d) = -7*x(d) - 4*y(d). Does 22 divide n(c)? True Suppose -3*b - 23 = g, b - 2*b - 2*g - 16 = 0. Let l be 99/(-6) + 6/4. Does 28 divide ((-10)/l - 2/b)*28? True Let b be ((0 + 0)*(-5)/10)/1. Suppose -x + 121 = -b*x. Suppose -5*c = -124 - x. Is c a multiple of 16? False Let u be (-20)/(-8) - (1 + (-1)/2). Let r(v) = -2*v**2 + 3*v + 2. Let a be r(u). Suppose -3*z + 14*z - 1122 = a. Does 12 divide z? False Let r(w) = -12 - 9*w**2 + w**3 - 5*w**2 + 9*w**2 + 7*w**2 + 7*w. Is 16 a factor of r(4)? True Suppose 19*l = -10*l + 271585. Suppose -l = -13*x - 2501. Is 16 a factor of x? True Suppose -3*v + 10416 = 3*n, 21 - 51 = 5*n. Is v a multiple of 37? True Suppose 0 = 22715*n - 22718*n + 8268. Is n a multiple of 53? True Let r = 23645 + -13081. Is 19 a factor of r? True Suppose 3*f = -h + 23, 0 = -h - f + 15. Let m(x) = -7*x**2 + 33*x + 8. Let j(v) = -8*v**2 + 34*v + 9. Let n(k) = 4*j(k) - 5*m(k). Is 20 a factor of n(h)? True Let k(u) = 29*u - 196. Let l be k(7). Suppose l*z = 700 + 700. Is z a multiple of 25? True Is (-110)/22*1/(-5) - (-6 + -8589) a multiple of 21? False Let o(b) = b + 49*b**2 + 13*b**2 - 1 - 8*b**2. Let r = -4987 + 4988. Is 18 a factor of o(r)? True Suppose -3*n = 878*l - 879*l + 16527, -4*n - 16533 = -l. Is l a multiple of 4? False Does 41 divide (54/162 - 3658/12)*(-396)/21? False Let c(l) = -l**2 - 164*l - 1412. Does 38 divide c(-146)? True Let m = 88 - 88. Suppose 2*k - 4*v = 0, k + 4*v - 4 + 10 = m. Is 4 a factor of 1066/130 + k/10? True Let q = -229 + 236. Does 14 divide q*32/(3 - 1)? True Suppose 2*i = 4*a + 16, 0 = 5*a - i - 4*i + 15. Let v = a + 107. Does 17 divide v? True Let l be -2*(-3)/(-12)*-4. Suppose l*q = 3*q + 4. Is q/(-16)*2*8 a multiple of 2? True Suppose 79*y + 15101 = 3*w + 81*y, 2*y - 5035 = -w. Is 12 a factor of w? False Suppose 5*k - 38869 = 4*o + 63721, 0 = -4*k - 2*o + 82046. Does 39 divide k? True Let h = 5747 - 4419. Is 24 a factor of h? False Let f be 10/25 + 1 + 146/10. Let i be (2 + -4)/((-4)/f). Let b(v) = v**2 - v - 4. Is 26 a factor of b(i)? True Let l = 124 - 122. Suppose l*m + 110 = -8*m. Does 4 divide m/(66/24) - (-15 + 0)? False Let w = -746 + 1443. Is w a multiple of 48? False Suppose -6*r - 77 = r. Let f(p) = -p**3 - 11*p**2 - 21*p - 7. Let i be f(r). Suppose 11*y - 3*y - i = 0. Is 17 a factor of y? False Let t = -938 - -941. Suppose 2*f - 263 = -99. Suppose y - n = f, -2*n + 226 = -0*y + t*y. Is 26 a factor of y? True Let o(y) = -y**3 + 21*y**2 - 79*y - 60. Does 4 divide o(10)? False Let b(i) = 63*i + 3. Let h = -73 - -35. Let m = 39 + h. Does 15 divide b(m)? False Suppose 39*l - 3*h + 391248 = 51*l, 2*h - 32590 = -l. Is l a multiple of 14? True Let c = 122 - 200. Let y = c + 78. Suppose -3*o + 13 + 251 = y. Is o a multiple of 8? True Let w(o) = 117*o + 29. Let a be w(2). Let c = a + -31. Is c a multiple of 8? True Let u(p) = 9*p + 39. Let n be u(-8). Let r = 24 + n. Is (-2)/r - 770/(-18) a multiple of 43? True Suppose 3*r = -61 + 1. Let z = r - -24. Suppose 17 = -z*x + 201. Is 9 a factor of x? False Suppose -28*q = -97*q + 298080. Is q a multiple of 32? True Let k(h) = h**2 - 9*h - 48. Let i be k(18). Let y = 110 + i. Is 14 a factor of y? True Let k(l) be the third derivative of l**5/30 - l**4/12 - l**3/2 + l**2. Let u(c) = 11*c + 548. Let y be u(-50). Is k(y) a multiple of 3? True Suppose 16*z - 256 = 14*z. Does 17 divide 5 + -9 + z/2? False Let f(z) be the first derivative of z**4/2 + 11*z**3/3 - 5*z**2/2 + 7*z - 21. Let k be f(-5). Let x = k + -37. Is x a multiple of 4? True Let i = 210 - 206. Does 2 divide (-16)/i*3*(-28)/8? Tru
{ "pile_set_name": "DM Mathematics" }
icked without replacement from sossszzzslzss. 3/143 Two letters picked without replacement from vev. What is prob of picking 1 e and 1 v? 2/3 What is prob of picking 1 h and 1 u when two letters picked without replacement from hwtwhutehtt? 3/55 Calculate prob of picking 1 j and 3 c when four letters picked without replacement from jjccjjcj. 1/14 Calculate prob of picking 1 m, 1 y, and 1 p when three letters picked without replacement from {b: 1, p: 4, s: 1, y: 7, a: 2, m: 5}. 7/57 Three letters picked without replacement from incciinn. What is prob of picking 2 c and 1 i? 3/56 Calculate prob of picking 1 r, 2 c, and 1 h when four letters picked without replacement from {c: 2, r: 3, q: 2, h: 1, b: 2, f: 4}. 3/1001 Three letters picked without replacement from {c: 2, v: 9}. What is prob of picking 2 v and 1 c? 24/55 Four letters picked without replacement from bbhbbbbbbbhbbbh. Give prob of picking 2 b and 2 h. 66/455 Calculate prob of picking 1 s and 2 c when three letters picked without replacement from ddrscc. 1/20 Three letters picked without replacement from qtqqqqqqttqqqq. Give prob of picking 3 t. 1/364 Three letters picked without replacement from lollglgmdodoolgloll. What is prob of picking 1 o, 1 g, and 1 m? 5/323 Three letters picked without replacement from {k: 2, l: 3, n: 2, b: 2}. Give prob of picking 1 b and 2 l. 1/14 Three letters picked without replacement from {z: 3, o: 10, b: 1, h: 3, p: 3}. What is prob of picking 1 z, 1 o, and 1 p? 3/38 What is prob of picking 3 d when three letters picked without replacement from {k: 4, d: 6}? 1/6 What is prob of picking 1 u and 3 v when four letters picked without replacement from uvvvvvvuuvvvvvuvvuv? 455/969 Three letters picked without replacement from {c: 7, u: 6, k: 4}. Give prob of picking 1 u and 2 k. 9/170 Calculate prob of picking 1 x, 1 v, and 1 s when three letters picked without replacement from {x: 3, v: 3, b: 1, h: 1, c: 1, s: 2}. 6/55 What is prob of picking 4 n when four letters picked without replacement from {m: 2, y: 1, b: 4, n: 4}? 1/330 What is prob of picking 2 h, 1 m, and 1 q when four letters picked without replacement from {q: 2, h: 2, m: 1}? 2/5 What is prob of picking 2 f when two letters picked without replacement from ftg? 0 Four letters picked without replacement from rxxrrxxxrxrxxx. Give prob of picking 4 r. 5/1001 Three letters picked without replacement from {q: 1, a: 3, v: 4}. What is prob of picking 1 a, 1 q, and 1 v? 3/14 What is prob of picking 1 q and 1 e when two letters picked without replacement from pefaq? 1/10 Three letters picked without replacement from {h: 1, p: 3, y: 1, a: 1, k: 1}. Give prob of picking 1 k, 1 a, and 1 p. 3/35 Three letters picked without replacement from uuuvffuvfffuufv. What is prob of picking 1 v and 2 f? 9/91 Three letters picked without replacement from dxxdxddd. What is prob of picking 2 x and 1 d? 15/56 What is prob of picking 1 y and 2 t when three letters picked without replacement from {h: 1, t: 7, y: 1, r: 5, f: 2}? 3/80 What is prob of picking 1 h and 1 c when two letters picked without replacement from {a: 3, s: 2, h: 1, q: 6, c: 4}? 1/30 Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {e: 2, j: 1, i: 5, n: 1, c: 1}. 1/45 Four letters picked without replacement from ujfffjffuufjj. What is prob of picking 4 j? 1/715 Four letters picked without replacement from {i: 1, q: 5, j: 1, t: 3, l: 2}. Give prob of picking 1 t, 1 i, 1 j, and 1 l. 2/165 Four letters picked without replacement from {d: 6, r: 1, z: 3, c: 8}. What is prob of picking 3 d and 1 c? 8/153 Two letters picked without replacement from {p: 10, l: 2}. What is prob of picking 2 p? 15/22 Two letters picked without replacement from aarrc. What is prob of picking 2 a? 1/10 Calculate prob of picking 1 d and 1 x when two letters picked without replacement from jdmdx. 1/5 Four letters picked without replacement from ssss. Give prob of picking 4 s. 1 Four letters picked without replacement from zipep. What is prob of picking 1 i, 1 p, 1 z, and 1 e? 2/5 Four letters picked without replacement from {e: 5, t: 11}. What is prob of picking 2 e and 2 t? 55/182 What is prob of picking 3 g when three letters picked without replacement from {n: 3, s: 4, g: 3, u: 4}? 1/364 Two letters picked without replacement from {p: 10, y: 4, o: 2}. Give prob of picking 1 o and 1 y. 1/15 Two letters picked without replacement from sxxsxaxxxaos. What is prob of picking 1 x and 1 s? 3/11 Four letters picked without replacement from nnnnbublnutn. Give prob of picking 1 n, 1 l, and 2 u. 2/165 Two letters picked without replacement from lqqnqqlqlqqqqqq. Give prob of picking 2 q. 11/21 What is prob of picking 2 j when two letters picked without replacement from jjjssj? 2/5 Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {g: 2, n: 1, i: 1}. 1/6 Two letters picked without replacement from {l: 7, q: 1}. Give prob of picking 2 q. 0 Calculate prob of picking 2 u when two letters picked without replacement from mmmummummmm. 1/55 Two letters picked without replacement from {y: 3, t: 1, d: 4, c: 8, b: 1}. What is prob of picking 1 t and 1 d? 1/34 Three letters picked without replacement from gxqxgxomqcgx. Give prob of picking 1 x and 2 g. 3/55 What is prob of picking 1 h, 1 z, and 1 f when three letters picked without replacement from zczzhzhhfrczchffzhzz? 2/19 What is prob of picking 2 f when two letters picked without replacement from xfsff? 3/10 Three letters picked without replacement from {v: 1, u: 3, m: 5, n: 1, z: 1}. Give prob of picking 1 u, 1 z, and 1 n. 1/55 Two letters picked without replacement from zhvvzvpvcvvzv. Give prob of picking 2 z. 1/26 What is prob of picking 1 r and 1 x when two letters picked without replacement from {f: 1, r: 3, d: 4, x: 3}? 9/55 Calculate prob of picking 1 s, 1 b, and 1 g when three letters picked without replacement from {g: 1, q: 1, s: 1, b: 2}. 1/5 Three letters picked without replacement from {t: 1, q: 1, z: 1, w: 1, g: 3}. Give prob of picking 2 g and 1 t. 3/35 What is prob of picking 4 e when four letters picked without replacement from eeeeejjeeejjjejeeee? 715/3876 What is prob of picking 2 b and 2 t when four letters picked without replacement from {q: 1, t: 4, s: 1, b: 4, a: 1}? 6/55 Two letters picked without replacement from nfznnfkxnkwxkkn. Give prob of picking 1 x and 1 f. 4/105 Three letters picked without replacement from {q: 2, t: 4, d: 1, y: 3, c: 1}. What is prob of picking 1 d, 1 t, and 1 c? 4/165 Three letters picked without replacement from ggdgggdgggdgggggggd. Give prob of picking 2 g and 1 d. 140/323 Four letters picked without replacement from {k: 2, g: 2, t: 2, f: 3, j: 1, o: 4}. What is prob of picking 2 t, 1 g, and 1 f? 6/1001 Two letters picked without replacement from {p: 1, b: 1, j: 2, q: 4, k: 3, w: 1}. Give prob of picking 1 w and 1 j. 1/33 Three letters picked without replacement from yyyyyyywqyqqqyyyyq. Give prob of picking 1 w and 2 q. 5/408 What is prob of picking 1 e and 1 v when two letters picked without replacement from {s: 1, e: 11, v: 8}? 44/95 Calculate prob of picking 1 v and 1 k when two letters picked without replacement from {d: 4, v: 2, k: 11, l: 2}. 22/171 What is prob of picking 1 s, 2 h, and 1 n when four letters picked without replacement from wdwwnhswwwwndndswhw? 1/646 Three letters picked without replacement from {i: 2, n: 7, s: 2}. Give prob of picking 1 s and 2 n. 14/55 Two letters picked without replacement from qbxojyob. Give prob of picking 1 b and 1 o. 1/7 Calculate prob of picking 2 y, 1 r, and 1 q when four letters picked without replacement from yrqwwriiwrrrrr. 0 What is prob of picking 3 j when three letters picked without replacement from jkjjikjjikiii? 5/143 Two letters picked without replacement from axhzxzhjhxx. What is prob of picking 2 z? 1/55 Calculate prob of picking 1 a, 1 i, and 1 l when three letters picked without replacement from ilala. 2/5 Four letters picked without replacement from {t: 3, p: 4}. Give prob of picking 1 p and 3 t. 4/35 Calculate prob of picking 2 j and 1 s when three letters picked without replacement from jjjsjjsjjjjs. 27/55 Calculate prob of picking 1 h and 1 n when two letters pick
{ "pile_set_name": "DM Mathematics" }
= -6*g for g. 5 Suppose 4*k + 24 = 4*m, 0 = m + k - 6. Suppose -y + 5 = 3. Solve -y*h - 4 = -m*h for h. 1 Let k = 16 + -13. Suppose -k*l - 4*g = -0*g - 27, 2*l = 5*g + 18. Suppose 5*i - 3*q - l = 0, 2*i - 12 = -0*i - 3*q. Solve 3*o + 0*o + i = 0 for o. -1 Let g(f) = -f**3 - 21*f**2 + 46*f + 13. Let k be g(-23). Solve 0 = 7*l - k*l + 30 for l. 5 Let y(b) = b**2 + 18*b - 46. Let i be y(-22). Solve -i*c + 38*c = 4 for c. -1 Suppose 0*o = 5*o + o. Suppose -6*z + 25 = -z. Solve -d + z*d = o for d. 0 Let w = 319 - 317. Suppose 5*m + x = 2, -2*m + 3*x + 7 = -4*m. Solve d + w = -m for d. -3 Suppose 4*h - 12 = 0, 4 = -2*g - 2*h + 24. Solve -5 = -2*u + g*u for u. -1 Let h(a) = -2*a - 5. Let l be h(-8). Suppose 5*r - 9 = l. Let m(n) = n**2 - n - 2. Let g be m(-2). Solve g = 4*k - r for k. 2 Suppose -2*g = g - 6. Suppose 3*w = 4*f - 32, -g*f = -f - w - 9. Solve -8*d + 3*d + f = 0 for d. 1 Let f be (-5)/(-2)*(-16)/(-10). Suppose -q - 22 = -12*q. Solve 4*t = q*t + f for t. 2 Suppose 0 = x - 5 - 0. Solve 24 = x*l + 3*l for l. 3 Suppose 0 = 4*x - 0*x + 4. Let i be ((-12)/(-24))/(x/(-8)). Suppose 0 = -i*b - 8 + 68. Solve -b = -10*d + 5*d for d. 3 Let a = -70 + 72. Suppose -26 = -5*d + a*o + 2, 3*o + 12 = 0. Solve -24 + d = -4*b for b. 5 Let g(j) = j**3 + 10*j**2 - 10*j + 10. Let i be g(-11). Let m = i - 2. Let u be ((-4)/16)/(m/36). Solve -2*o = -u*o + 3 for o. 3 Let k be 1/(10/3 + -3). Suppose 10 = 3*t - 4*l, k*t - l + 0*l = 16. Suppose -t = 3*z - 6*z. Solve z*x = -0*x - 10 for x. -5 Let o = -4 + 1. Let r = -73 - -58. Let i be (o/2)/(r/20). Solve i*v + 4 = v for v. -4 Suppose -19 - 20 = 3*o + 3*d, 4*d - 36 = 4*o. Let z = 33 + o. Let q be 3 + -1*(0 + -1). Solve 6 - z = q*v for v. -4 Let w be 3 - 70/22 - 24/(-11). Let i be (-2 - 1/w)*(-24)/30. Solve j = i*j - 1 for j. 1 Let y = -13 + 20. Let w be 14/49 - (-12)/y. Suppose -52 = -4*q + 4*c, 0 = -2*q - c - 3*c + 8. Solve 0 = -0*u + w*u + q for u. -5 Let n be (-9)/(-6)*24/9. Solve 11 = 7*t + n*t for t. 1 Suppose -5478*i + 5485*i = 189. Solve 6*z = -i + 9 for z. -3 Suppose 0 = -2*j + 65 - 15. Solve -8*x - j = -13*x for x. 5 Let g be ((-8)/4)/(-2*2/8). Solve -g*i - 20 = -8*i for i. 5 Let l be (60/(-18))/((-1)/3). Suppose -6 - 9 = -5*k. Solve k*s = -2*s - l for s. -2 Let z be (-3 - -5) + 3/(-6)*-6. Solve -z*y - 30 = y for y. -5 Let w = -6 + 13. Let c = 114 - 111. Solve -w*a = -c*a - 16 for a. 4 Let x(f) = 5*f + 17. Let j be x(-5). Let a be (0/4 + j)*-1. Solve 4*d - a + 28 = 0 for d. -5 Suppose j - 4*j = p - 4, 2*j - 11 = p. Solve 16 = -7*m + j*m for m. -4 Let u = 326 - 320. Solve -11*b + u*b + 15 = 0 for b. 3 Suppose 2*b - 23 = -5. Let j be 3/9 - (-24)/b. Suppose -8*s = -j*s - 25. Solve -s*x = -3 - 2 for x. 1 Let a be (-19)/(-7) - 16/(-56). Suppose 0 = 3*u + 5*n + a, 4*u + 0*n = -2*n + 10. Solve 17 = u*b - 3 for b. 5 Let w be (153/81)/(-17) - (-273)/27. Solve c - w*c = -45 for c. 5 Let t(d) = 2*d**2 - 6*d - 3. Let k(j) = -4*j**2 + 12*j + 6. Let h(x) = -4*k(x) - 9*t(x). Let r be h(6). Let z = 36 + r. Solve -z*n = n - 12 for n. 3 Let i(g) = -g**2 - 9*g + 10. Let w be i(-10). Suppose -2*a + 26 + w = 0. Suppose -5*t + 2 = -a. Solve 5*x - t - 7 = 0 for x. 2 Suppose y = -2*v + 13, -13*v + y + 36 = -8*v. Let h = -3 + 5. Solve -v*g + h*g = -20 for g. 4 Let k be 718/12 - (-5)/30. Solve -9*r = 6*r - k for r. 4 Let l(f) = -f**2 - 11*f - 9. Let u be (-42)/147 + 136/(-14). Let x be l(u). Solve -5*n + 11 = x for n. 2 Suppose 2*b = 2*v - b - 10, -2*v + 12 = -4*b. Let s be (-7 + 8)/(v/4). Suppose -s*h - h + 6 = 0. Solve 6*f = h*f + 8 for f. 2 Suppose -2*v + 2*h = -3 - 1, 5*v + 2*h = -11. Let f = 16 + v. Suppose -5*n = -f, 5*x + 5 = n + 2. Solve x = -a - 5 for a. -5 Let x(f) = -3*f + 2. Let b be x(0). Suppose 3*w - 4*w + 1 = 5*v, b*v - 3*w + 3 = 0. Solve v*u = 5*u - 25 for u. 5 Let n = -17 + 19. Let y(o) = -o**2 + 4*o + 5. Let r be y(5). Suppose -4*f - 2*b - n*b = -20, r = 3*f + 2*b - 12. Solve 0*u = f*u + 8 for u. -4 Suppose 2*a + 24 = -5*t, 2*t - 4*a - 2 = a. Let s = t + 7. Suppose -9 = -3*l + z, -s*l + 2*z = -3*z - 21. Solve -n = l*n for n. 0 Let p(g) be the first derivative of -3*g**2/2 - 3*g - 6. Let n be p(-3). Solve -n = 2*x - 5*x for x. 2 Let y(w) = -w**2 - 12*w + 2. Let s be y(-13). Let j = -10 - s. Suppose -5*r = -3*p - 3*r - j, 0 = 4*p + 5*r - 37. Solve p + 2 = -c for c. -5 Let g = 17 - 21. Let x be -20*(-4 - 18/g). Let v be (-4)/x - 115/(-25). Solve 2*d + v = -3*d for d. -1 Let z = -152 - -157. Let i(h) = h**3 - h**2 - h + 1. Let s be i(-1). Solve s = z*l + 30 - 10 for l. -4 Let c(x) be the second derivative of -x**3/3 - 19*x**2 - 6*x. Let q be c(-19). Solve j = -q - 1 for j. -1 Let l = 0 + 0. Let m be (3 + -6)*8/6. Let p = m - -5. Solve l = -3*a - p + 13 for a. 4 Let x be 1/3 - (-2 + (-5)/(-15)). Solve -2 - x = 4*f for f. -1 Suppose 3*q - z - 203 = 0, 10*z - 12*z + 138 = 2*q. Solve 8*l = 92 - q for l. 3 Let l(d) = -35*d. Let a be l(-4). Let f be (a/6)/((-10)/(-15)). Suppose 5 = 2*s + 5*w, f = 3*s - 0*w + 2*w. Solve 5*v - 2*v = s for v. 5 Let b = 18 + -6. Suppose -h - 3*q - 5 = 4, 8 = -2*h - q. Let f = h + b. Solve 6 = 5*u - f for u. 3 Let a = -25 - -28. Suppose 0 = -a*o - 15, v - 4*v = o + 2. Solve -5 = -2*m - v for m. 2 Let g(r) = -r**3 + 22*r**2 - 20*r - 4. Let b be g(21). Suppose 14*s - b*s + 60 = 0. Solve s = 4*m - 9*m for m. -4 Let x(l) = l**3 - 8*l**2 + 35*l - 189. Let j be x(7). Solve j*o + 12 = 3*o for o. -3 Let n = 22 + -12. Suppose 5*y - 35 - 55 = 0. Let j = 23 - y. Solve -j = 3*c + n for c. -5 Suppose -2*b + r + 18 = 0, 3*r + 20 = 3*b - 2*r. Solve -20*j + b*j + 40 = 0 for j. 4 Suppose 5*b = 5*p - 35, 27 = 6*p - 3*p - b. Let n = p - 10. Let u = n - -5. Solve 0 = -5*h - u + 20 for h. 3 Suppose x - 11 = -5. Let g be 12/x*(-9)/(-6). Solve -g*n - 12 = n for n. -3 Let m(l) = -5*l**2 + 16*l - 11. Let p(y) = y**2 - y. Let x(v) = -m(v) - 6*p(v). Let o be x(-11). Suppose o = 2*r - 3*r + 9. Solve -r - 1 = 5*h for h. -2 Suppose -4*j = -2*i + i + 14, 0 = -5*i + 2*j + 16. Let g = 72 + -38. Suppose -i*n + 20 = 4*m, 4*n - 2 = 4*m - g. Solve p - m = -p for p. 3 Let o be (42/(-24))/(1/(-20)). Suppose -q - 6*q + o = 0. Solve 0*v - q = v for v. -5 Suppose i = -1, -29*f + 24*f + i + 86 = 0. Solve 11 = -7*t - f for t. -4 Suppose 5*g = -4 - 6. Let z be -5 - (-5)/((-5)/g). Let d = -1 - z. Solve -d*r = r - 6 for r. 2 Let g = 143 - 143. Solve -2*v + g = 8 for v. -4 Let f be -6*(3 - 20/8) - -5. Solve b - 5 = f*b for b. -5 Let j be 1/(1/(-10)*-5). Solve -q = -j*q for q. 0 Let q be (-5)/2*(-4)/5. Let h = 5 + -16. Let u be 10/20 - h/q. Solve u*z = 3*z + 6 for z. 2 Let h be (-130)/(-156) + (-687)/(-18). Solve -h = 13*g + 26 for g. -5 Let b(m) = -m**3 + 4*m**2 + m - 2. Let o be b(2). Let f(x) = -x**3 + 17*x**2 + 22*x - 70. Let n be f(18). Solve 0*v - o = n*v for v. -4 Let n be 9 + -3 + 6 + -8. Solve 19 = 5*b + n for b. 3 Let p be (582/8)/3 + 42/56. Let z be 2 + 39/6*2. Suppose -2*g + 5*t = 3, -3*g - t = -g - z. Solve -u + p = -g*u for u. -5 Suppose -v = u, 8*u + 3*v = 4*u + 4. Solve -a - u = -5*a for a. 1 Suppose -16 = -4*i - 0. Suppose 4*c + i - 8 = 0. Let a = c + 1. Solve 0*s + a*s = -4 for s. -2 Let n be 30/7 + 14/(-49). Suppose o + 2 = n*b, -4*o - 10 = 3*b + o. Solve 0 = -b*l + 4*l + 4 for l. -1 Let r = 50 - 44. Let l be r/(-10) + 6/10 - 0. Solve l = -t - 0*t for t. 0 Let x(z) = z**3 + 5*z**2 - 6*z - 22. Let m be x(-5). Solve m = -5*i - 7 for i. -3 Let u be -6 - (9 + -6 - 13). Solve -13 = u*x + 7 for x. -5 Suppose -5*b + 20 = 0, -b - 25 = 3*s - 29. Solve 15*n - 16*n - 1 = s for n. -1 Let g = -2196 + 2240. Solve -21*a - g = -2 for a. -2 Let l be ((-15)/6 + 2)*-10. Suppose 0 = -z + 3*x + 26, -4*z - x + 84 = -3*x. Suppose 2*c + 6 = -4, l*p - c = z. Solve -10 = f - p*f for f. 5 Let w(y) be the first derivative of -y**3/3 - y**2/2 - 1. Let n be w(-1). Solve -j + n = 1 for j. -1 Let j = 31 - 46. Let g be ((-170)/j)/(6/(-9)). Let u be (-17 - g)/(-2*1). Solve d + 5 = -u for d. -5 Let g = 1306 - 1285. Solve -g = 11*l - 4*l for l. -3 Let n(j) = 2 + 47*j - 46*j + 14. Let w be n(-13). Solve 4*h + w + 1 = 0 for h. -1 Let w(q) = 2*q**2 + 14*q + 37. Let x be w(-5). Solve -28 = 9*f + x for f. -5 Suppose 4*w - 17 = -3*a, 0 = a - 2*w + w - 15. Let i = 10 - -36. Suppose 2*r + 0*s = -4*s + i, -5*r - 2*s + 147 = 0. Solve 0 = -5*l + a - r for l. -4 Let p
{ "pile_set_name": "DM Mathematics" }
j be 480/50*h/(-6). Suppose 7*z - 3*z - j = 0. What is the units digit of z? 8 Suppose 4*j - 546 = 5*j - 2*x, 5*x + 15 = 0. What is the units digit of (-1)/4 - j/32? 7 Let i = 940 + -244. Suppose 4*c + 342 = 2*p, -2*p = 2*p - 5*c - i. What is the hundreds digit of p? 1 Let r(s) = -s**2 + 10*s + 18. Let j be r(-9). Let z = -86 - j. What is the tens digit of z? 6 Suppose 4*b = -2*m + 1420, -5*b + 4*m + 532 = -1230. Let q = b + -170. What is the units digit of q? 4 What is the tens digit of (-1474)/4*-8 - 0? 4 Let m = -67 + 65. Let z(d) = -40*d - 1. What is the tens digit of z(m)? 7 Let i be 0 - (2 + -1 + -17). Suppose 3*j - i = -5*a, 0*a + 2*j + 6 = 5*a. Suppose 3*m = 2*y + 25, 0 = -3*y - a*y - 10. What is the units digit of m? 7 Let a(j) = -3. Let k(b) = -4. Let o(l) = -5*a(l) + 4*k(l). Let t(c) = 4*c + 28. Let u(w) = -10*o(w) - t(w). What is the units digit of u(-20)? 2 Let o be (-7)/(-2) + (-5)/10. Let c(s) = -4*s - o*s**2 - s**3 - 6 + 0*s**3 + 13*s**2 - 5. What is the units digit of c(9)? 4 Suppose -41*s + 36*s = 0. Suppose -8*m + 492 + 524 = s. What is the hundreds digit of m? 1 Let c(m) = -76*m + 17. What is the hundreds digit of c(-6)? 4 What is the hundreds digit of ((-158)/(-5))/((-852)/(-210) - 4)? 5 Let f be 15/8 - (-6)/48. Let v(u) = 19*u**2 - 5*u + 2. What is the units digit of v(f)? 8 Let v = 63 - 42. Let k = 6 + v. What is the units digit of k? 7 Let a(s) = 8*s**3 + 7*s**2 + 33*s - 273. What is the units digit of a(7)? 5 Suppose -5*c + 3*c = -2*l - 22, -34 = 4*l - 2*c. Let d be 17/(-7) + l/(-14). What is the units digit of 178/6 + d/3? 9 Let d = 283 + -191. Suppose -f + 3*f = d. Let j = -22 + f. What is the units digit of j? 4 Let n(g) = -g - 9. Let l be n(-4). Let r(c) = -4*c**2 - 4*c + 9. Let u be r(l). Let j = -34 - u. What is the units digit of j? 7 Let q = -2178 + 1499. Suppose 0 = 2*x - 2*r + 7 + 45, -4*x = -2*r + 94. What is the units digit of q/x - 4/(-6)? 3 Suppose 4*b = 6*b - 1546. What is the units digit of b? 3 Let m be 82/(-4) + 2/4. Let l be 4/m - 39/5. What is the units digit of 2 + 4/l*-2? 3 Let a(f) = -f + 1. Let q be a(7). Let g(j) = -j - 4. Let v be g(q). Suppose -u = 5*t - 1 + v, 3*u + 4*t = 41. What is the units digit of u? 9 Let y = 353 - 131. What is the tens digit of y? 2 Suppose -4126 = -4*a + 10830. What is the units digit of a? 9 Suppose -1 = 3*n - 2*n - 2*f, -3*n = -f - 7. What is the tens digit of (1 + -3)/(n/414*-3)? 9 Let n(j) = j + 12. Let g be n(-18). What is the tens digit of (-1)/(4/18)*g? 2 Let x = -823 - -3598. What is the hundreds digit of x? 7 Let g(s) = -11*s - 5. What is the tens digit of g(-28)? 0 Suppose -2*q = -0*q - 5*o - 4181, 10400 = 5*q + 5*o. What is the hundreds digit of q? 0 Let k(g) = g**3 - 25*g**2 - 21*g - 22. What is the hundreds digit of k(27)? 8 What is the hundreds digit of (0 - 1)*29/((-174)/21384)? 5 Let s be 102/17*(0/(-3) - 2). Let r be 0 - (-5)/(10/(-232)). What is the tens digit of (1 + 2)*r/s? 2 Let h(k) = k**2 + 12*k + 16. Let g(z) = -z**3 + 9*z**2 + 14*z - 10. Let x be g(10). Let j be (0 - -2)/((-4)/x). What is the units digit of h(j)? 1 Let i(x) = -11*x**3 + 61*x**2 + 37*x - 44. Let p(w) = 5*w**3 - 30*w**2 - 19*w + 22. Let n(k) = 6*i(k) + 13*p(k). What is the tens digit of n(-23)? 6 Let r = 189 + -97. Suppose 4*x = -3*h - 181, 4*x - 7 = 3*h + 190. Let f = r + h. What is the units digit of f? 9 Suppose 3*n = 8*n - 15. Suppose n = r - 6. Suppose -w + 1 = -r. What is the tens digit of w? 1 Suppose -4*a + 2*w = 3*w - 1904, -w + 1427 = 3*a. What is the tens digit of a? 7 Suppose 4*v = -5*f - 1251, f = -3*v - v - 263. Let b = -111 - f. What is the tens digit of b? 3 Let i(p) = 2*p**3 + 42*p**2 - 20*p + 49. What is the tens digit of i(-21)? 6 Suppose -4*i + 0*v = -v - 67, -3*i + 39 = 3*v. Let w = -30 + i. Let b = w + 27. What is the tens digit of b? 1 Suppose 5*o = -o - 78. Let n be o/(-2) - 11/22. Suppose -2*b + n*b - 76 = 0. What is the tens digit of b? 1 Let d be 1/((-352)/(-118) - 3). Let x = 100 + d. What is the units digit of x? 1 Suppose 772 = 11*s - 911. Let u = s + -79. What is the units digit of u? 4 What is the thousands digit of 1334 + (-2)/2 + (-99)/(-33)? 1 Suppose -4*m = -b - 2*b + 7382, -3*b + 2*m + 7390 = 0. What is the tens digit of b? 6 Suppose -2*f - g = -1171, -4*g = 5*f - 2667 - 262. What is the hundreds digit of f? 5 Suppose -4*h = 4*r, h + 4*h + 30 = r. Suppose m - 1 = -3, -r*m = -j - 5. What is the units digit of (-3)/(-15) - 327/j? 2 Let u(t) = -6*t**3 - 11*t**2 + 8*t - 5. What is the tens digit of u(-9)? 0 Let j = -130 + 125. What is the hundreds digit of (-6)/j*6860/42? 1 Let j be (-2)/(2/(-3)) + -53. Let y(z) = 4*z**2 + 7*z - 5. Let a be y(4). Let s = a + j. What is the tens digit of s? 3 Let y = 12 + 5. Let s(o) = -o**3 + 16*o**2 + 17*o + 23. What is the tens digit of s(y)? 2 Let z = 229 - 392. What is the units digit of 12/(-16) - z/4? 0 Let n = -1798 + 3275. What is the hundreds digit of n? 4 Suppose -5*t + 5*l + 75 = 0, 3*t - 7*t - 5*l = -105. Let j = t + 140. What is the units digit of j? 0 Let q be (-3)/((-36)/8)*-9. Let j = q + -10. What is the units digit of 1 - (j - 20/5)? 1 What is the units digit of 130/52 - 14/(-4)? 6 Suppose 7*y + 874 = 6306. What is the tens digit of y? 7 Let x = 620 - 152. What is the hundreds digit of x? 4 Suppose x + 552 = 4*x. Let r be x/56 - 2/7. Suppose 20 = 7*u - r*u, -5*p - 2*u + 35 = 0. What is the units digit of p? 5 What is the units digit of 0 + ((-15896)/(-12))/(20/30)? 7 What is the hundreds digit of (-2676)/10*(1320/(-18))/11? 7 Suppose -3*j - 42 = -5*w, 10*w = 5*w - 2*j + 47. Suppose w*v = 309 + 447. What is the units digit of v? 4 Let c(h) = h**2 - h - 1. Let t(a) = 6*a**2 + 4*a - 18. Let j(f) = -2*c(f) + t(f). What is the hundreds digit of j(7)? 2 Let m be 42/4*2/3. Suppose 1 + m = 2*d. Suppose c - d = 2. What is the units digit of c? 6 Let x = 2279 + -1623. What is the tens digit of x? 5 Let x(z) = z**3 - 14*z**2 + 19*z - 12. Let r be 17 - (0 + 2) - 3. Let q be x(r). Let j = -38 - q. What is the tens digit of j? 3 Suppose 4*s + 32 = 3*h, -4*s + 10 = 30. Suppose 5*d = h*d + 65. What is the tens digit of d? 6 Suppose 0 = -o + 4, 0 = 4*j - 0*j + 2*o - 40. Suppose j*b = -0*b + 712. What is the units digit of b? 9 Let y(q) = -2 + q**2 + 3*q**3 + 4 + 0*q - 4*q**3 - 3*q. Let d be y(-3). Let o = d - 22. What is the tens digit of o? 2 Suppose 23*w - 61027 = 7168. What is the hundreds digit of w? 9 Let j = 86 - 79. Suppose -2*q - 3*f = -79, -j - 2 = -3*f. What is the units digit of q? 5 Suppose -2815 = 3*p - 8*p - 2*n, 0 = 3*p + 2*n - 1689. Suppose -9*k + 377 = -7*k - 3*v, 3*k - 4*v = p. What is the tens digit of k? 8 Let m = -1611 + 2674. What is the tens digit of m? 6 Let c(u) = 36*u - 5. Suppose 2*o + 5 = k, 3*k + 3*o = 2*o + 8. What is the units digit of c(k)? 3 Let a be (-120)/(-21) - (120/(-28) - -4). Suppose a*n - 929 - 907 = 0. What is the units digit of n? 6 Let l(t) = 170*t + 18. Let k be l(3). Suppose 13*m = 9*m + k. What is the hundreds digit of m? 1 Let a(d) = 3*d**2 + 34*d + 52. What is the thousands digit of a(30)? 3 Suppose 0 = 166*j - 179*j + 41067. What is the hundreds digit of j? 1 Let n = -171 + 560. What is the tens digit of n? 8 Let h = 1106 + -700. What is the tens digit of h? 0 What is the units digit of -1887*(-8)/(-6)*12/(-24)? 8 What is the hundreds digit of -3 - -3886 - -6*(-9)/(-18)? 8 Let m be 158/18 - (-4)/18. Let z(w) = 3 + 6*w + 11 - w**2 - 4*w + m*w. What is the units digit of z(12)? 2 Let z be (-926)/(-8) + 1/4. Let y = 246 + -124. Suppose -3*k + z = -5*v, 3*k + 2*v = -13 + y. What is the tens digit of k? 3 Suppose 4*c + 9 = -m - 9, -m + 12 = -2*c. What is the units digit of (5/(c/(-12)))/(28/98)? 2 Let f = 112 + -116. What is the tens digit of (17/3)/(f/(-156))? 2 Suppose 2*a + 3 = 17. Suppose 0 = a*b - 3*b - 8. Suppose 2*l - 70 = -b*w, l - 3*w = -0*l + 47. What is the units digit of l? 8 Let a = -29 - -8. Let i = 75 + a. What is the units digit of i? 4 Let y be (778/(-6))/((-2)/6). Suppose 5*n = 61 + y. Suppose -4*u = v - u - 51, 2*v = -3*u + n. What is the units digit of v? 9 Let j = 14 + -23. Let s = 27 - j. What is the tens digit of s? 3 Suppose -4*c + c = 111. Let n = c - -109. Suppose -5*q = -53 - n. What is the units digit of q? 5 Let i(d) = d + 11. Let y
{ "pile_set_name": "DM Mathematics" }
o Differentiate -15*n**4*u + 9*n*u - 32*u + 3 with respect to n. -60*n**3*u + 9*u What is the derivative of -i*y**3 + 9*i*y**2 - 3*i - 49 wrt y? -3*i*y**2 + 18*i*y Differentiate 3543*n + 1081. 3543 Differentiate -133*l**4 - 2*l**3 + 923 with respect to l. -532*l**3 - 6*l**2 Find the second derivative of 295*q**3 + 1083*q. 1770*q What is the third derivative of -2*g**4*i**2 + 2259*g**4 - 194*g**2*i**2 + 50*g*i**2 wrt g? -48*g*i**2 + 54216*g What is the third derivative of 2*w**4 + 224*w**3 + 1367*w**2 wrt w? 48*w + 1344 Find the third derivative of 13*f**3*q**3 - 2*f**3*q**2 - 212*f**3*q + 64*f**2*q**4 - 2*q**4 wrt q. 78*f**3 + 1536*f**2*q - 48*q What is the second derivative of -5*b**5*m*y**2 + 16*b**4*m - 3*b*m*y - 5*b*y + 2*y**2 wrt b? -100*b**3*m*y**2 + 192*b**2*m Find the first derivative of -11*a*g*k**3 - 2*a*k**2*t + 15*a*k + 2*g*k**3 - 182*g*k*t - k**3*t wrt t. -2*a*k**2 - 182*g*k - k**3 Find the second derivative of -l**3 - 503*l**2 + 3*l - 9 wrt l. -6*l - 1006 What is the first derivative of -358*p**3 + 162? -1074*p**2 What is the derivative of -30*i**3*k + 6*i**3*m**2 + 8*i*k*m**2 + 2*i*k - 5*i - 2*k*m**2 wrt m? 12*i**3*m + 16*i*k*m - 4*k*m What is the second derivative of 272*w**3 + 2790*w? 1632*w Find the third derivative of -271*a**3*c*f**3 - 2*a**3*f**2 - a**2*c*f**3 + 108*a**2*c*f - 2*a*c - 3*f**2 wrt f. -1626*a**3*c - 6*a**2*c What is the third derivative of 358*r**4*y**2 - r**3*y**3 - r**2*y**2 + 16*r**2*y + 2*r*y**3 + 6*r*y wrt r? 8592*r*y**2 - 6*y**3 What is the second derivative of -4*c**3*i**2 + 7*c**3*i*z**2 + c**3*i - 19*c*i**2*z**2 + i**2 - 3*z wrt z? 14*c**3*i - 38*c*i**2 Find the first derivative of 1696*v**4 + 969 wrt v. 6784*v**3 What is the second derivative of -o**3 + 1136*o**2 - 4121*o wrt o? -6*o + 2272 Differentiate -a**4*l - 91*a**4 + 10*a**2 + 84*l - 3 with respect to a. -4*a**3*l - 364*a**3 + 20*a What is the third derivative of -6576*h**3 - 9336*h**2? -39456 What is the third derivative of 693*z**4 + z**3 + 704*z**2? 16632*z + 6 Find the second derivative of 7618*f**5 + 1688*f + 2. 152360*f**3 What is the second derivative of -6*o**3*q**2 - 2*o**3*q + 3*o**2*q**2 - 17*o**2*q + 2*o*q wrt q? -12*o**3 + 6*o**2 What is the second derivative of 74*c**2*g**2*v - 304*c**2*v**2 + 2*c*g**2*v**2 - 3*c*g**2*v wrt v? -608*c**2 + 4*c*g**2 Find the first derivative of 424*l**3 + 3*l**2 + 1292 wrt l. 1272*l**2 + 6*l What is the second derivative of 9689*d*k**2 - 2*d*k - 2*k - 521 wrt k? 19378*d What is the second derivative of 190*l**4 - l - 182? 2280*l**2 Differentiate 150*m**4 - 4*m**2 - 2288. 600*m**3 - 8*m Find the second derivative of -8901*s**4 - 1578*s. -106812*s**2 Find the third derivative of -23*g**4 - 2*g**3 - 62*g**2 wrt g. -552*g - 12 What is the third derivative of 29437*w**3 + 20750*w**2 wrt w? 176622 Find the second derivative of 22*w**4*y + 15*w**3*y - 103*w*y + 5*y wrt w. 264*w**2*y + 90*w*y Find the second derivative of -798*u**4*v**3 - 2*u**4 + 8*u*v**3 + u*v**2 wrt u. -9576*u**2*v**3 - 24*u**2 What is the second derivative of -10*m**5 + 79*m**2 + 3101*m wrt m? -200*m**3 + 158 Find the third derivative of -123*c**4*f + c**2*f - 5*c**2 + 10*f wrt c. -2952*c*f Find the third derivative of 10*b*f*o**2 - 35*b*f*o + b*f - 2*b*o**5 + 6*b*o**3 + 10*f*o**3 + 4*f*o**2 wrt o. -120*b*o**2 + 36*b + 60*f What is the derivative of 1617*j*l**3 + 2*l**3 + 171*l wrt j? 1617*l**3 What is the first derivative of 14*g**2*i**3 + 3*g**2*i - 385*g**2 wrt i? 42*g**2*i**2 + 3*g**2 What is the first derivative of 4*l**3*o*t - 28*l**3*t + 2*l*o**2*t**2 - o**2 + t**2 wrt o? 4*l**3*t + 4*l*o*t**2 - 2*o What is the derivative of j*n*p**3 - 8*j*p**2 - 2*j*p - 81*n*p**3 + 4*p**3 wrt n? j*p**3 - 81*p**3 Find the second derivative of 6261*j**4 + 2205*j + 2. 75132*j**2 Find the second derivative of 207*u**3 - 241*u wrt u. 1242*u What is the third derivative of -5*x*z**4 - 2*x*z**3 - 23*x*z + 5*z**4 - z**3 - 5*z**2 wrt z? -120*x*z - 12*x + 120*z - 6 What is the second derivative of -599*s**3 - s**2 + 3*s - 2 wrt s? -3594*s - 2 Find the second derivative of -2*b**3*h**2*r + b**3*h*r**2 - 3*b**3*h + 7*b**3*r + 3*b*h**2 + 31*h**2*r**3 + 2*r**3 wrt h. -4*b**3*r + 6*b + 62*r**3 Find the third derivative of -13*x**4 - 603*x**3 + 25192*x**2. -312*x - 3618 Differentiate 3*f*h**2 + 3*f + 8*h**2 + 8*h + 694 wrt h. 6*f*h + 16*h + 8 What is the third derivative of f**3*m**4 + 4*f**3*m + 505*f**2*m**4 + 199*f*m**2 wrt m? 24*f**3*m + 12120*f**2*m What is the second derivative of -79*r**3*z**2 - r + 194*z**2 wrt r? -474*r*z**2 Find the first derivative of -782*p**3 + 3*p**2*y**3 + 2289*y**3 + 2*y wrt p. -2346*p**2 + 6*p*y**3 Find the third derivative of -4*m*x**5 - 13*m*x**4 + 5*m*x**2 + 11*m - x**4 wrt x. -240*m*x**2 - 312*m*x - 24*x What is the first derivative of c*k**3 + 85*c*k + 1558*c - 27*k**3 wrt k? 3*c*k**2 + 85*c - 81*k**2 Differentiate 29*b**2*i**3 + 558*b**2*j**2 + b*i**3*j + 2*b*i**3 + i**2*j with respect to j. 1116*b**2*j + b*i**3 + i**2 What is the derivative of -r*w*y**3 + 241*r*w - 6*w*y**3 - 5*w*y wrt y? -3*r*w*y**2 - 18*w*y**2 - 5*w What is the third derivative of -217*m**4 + 15*m**3 - 6193*m**2? -5208*m + 90 What is the third derivative of 14*i**5 - 2*i**4 - 29*i**3 - 3*i**2 + i + 83 wrt i? 840*i**2 - 48*i - 174 What is the first derivative of -7*p**4*y + 5*p**3*q*y + 5*p*q + 1717*q*y wrt p? -28*p**3*y + 15*p**2*q*y + 5*q Find the first derivative of -285*q**2 + 208 wrt q. -570*q What is the second derivative of -130*h**2*o**2 + 3*h**2*o - 2*h*o**2 + 12*h*o wrt o? -260*h**2 - 4*h Find the second derivative of 5*l**4*o - 877*l**3*o**2 - l*o**2 - 3*l*o - 24*l - 29*o wrt l. 60*l**2*o - 5262*l*o**2 What is the third derivative of -3*j**2*z**3 - 290*j**2*z**2 - 3*j*z**2 - j + 461*z**6 wrt z? -18*j**2 + 55320*z**3 Find the second derivative of -2*d**4 - 60*d**2 - 39*d. -24*d**2 - 120 What is the first derivative of -2201*j**2 - 8051 wrt j? -4402*j What is the second derivative of -7*f**4*w + 2*f**4 + 56*f**3*w + 13*f*w + w - 731 wrt f? -84*f**2*w + 24*f**2 + 336*f*w Find the first derivative of 25*t**2 + 62*t - 4064. 50*t + 62 Find the second derivative of -155*x**4 + 9*x**3 - 2390*x wrt x. -1860*x**2 + 54*x Find the second derivative of 37*a*o*p*r**2 - 2*a*o*p*r - 5*o*p*r**2 + 6*o*p*r - 2*o*r**2 - 5*o*r - 4*r wrt r. 74*a*o*p - 10*o*p - 4*o Find the first derivative of -3*y**4 - y**2 - 69*y + 11042. -12*y**3 - 2*y - 69 Find the third derivative of -g**2*l**3 - 10*g**2*l**2 - 3*g**2*l*x - 5*g**2*x + 3*l**4*x + 497*l**3*x - 2*l**3 - 5*l**2 wrt l. -6*g**2 + 72*l*x + 2982*x - 12 What is the first derivative of 1428*s**3*u - 3*s**3 - 2*s**2*u + 7*s wrt u? 1428*s**3 - 2*s**2 What is the second derivative of -a*k**4 - 2*a*k**2 + 5*a*k - 2*a - 3*k**2 - 4*k wrt k? -12*a*k**2 - 4*a - 6 Differentiate 162*l + 536 wrt l. 162 What is the first derivative of 133*q**3*s + 9*q**3*t + 6*q**2*s**2 + 3*q*s**2*t - 6*q*t wrt t? 9*q**3 + 3*q*s**2 - 6*q Find the third derivative of -344*x**4 - 363*x**2. -8256*x What is the first derivative of 7835*a*i**2 - 7864*i**2 wrt a? 7835*i**2 Find the first derivative of c*n**2 + 2*c*n + c + 31*n**2 + 23 wrt n. 2*c*n + 2*c + 62*n Find the third derivative of -28*f**3*p**6 - 5*f**3*p**2 - 16*f**3 + 6*p**5 wrt p. -3360*f**3*p**3 + 360*p**2 Find the third derivative of 3727*q**3 + 3550*q**2. 22362 Find the second derivative of -6*o**4*q**2 - 17*o**2*q**2 - 187*o*q - 2*q**2 wrt o. -72*o**2*q**2 - 34*q**2 Differentiate 1046*h + 2540. 1046 Find the third derivative of o**3*w**6 - o**3 + 26*o**2*w**6 + 13*o**2*w**2 + 8*o*w**2 wrt w. 120*o**3*w**3 + 3120*o**2*w**3 Find the third derivative of -11*m**2*y**4 + m**2*y**3 + 2*m**2 - 2*m*y**4 + 11*m*y - 2*y**2 wrt y. -264*m**2*y + 6*m**2 - 48*m*y Differentiate 3798*j - 2197 with respect to j. 3798 Find the third derivative of -235*a**2*t**3 - 315*a**2*t**2 wrt t. -1410*a**2 Find the third derivative of -f**3*h*n - 111*f**3*n**4 + 2*f**2*h**2*n**3 + 2*f*h**2*n + 5*f*h*n**2 wrt n. -2664*f**3*n + 12*f**2*h**2 What is the third derivative of -37*b**2*w**3 + 2*b**2*w**2 + 9*b*w**3 + b*w**2 + 150*b*w wrt w? -222*b**2 + 54*b What is the first derivative of f**2*g*y**3 + 2*f**2 + f*g*y**3 + 57*g*y + 69*y**3 wrt g? f**2*y**3 + f*y**3 + 57*y Differentiate -22856*j**3*k + 22735*j**3 with re
{ "pile_set_name": "DM Mathematics" }
= -30*b + 1 + 53*b - 24*b. Let j be o(w). Let f(p) = -p**3 + 2*p + 3. Determine f(j). 7 Let r(o) = -10*o**3 + 161*o**2 - 16*o. Let y be r(16). Let m(h) be the first derivative of y*h**2 - 1/3*h**3 - 13 + 0*h. Give m(2). -4 Let v = 1353 - 2209. Let t = v + 849. Let y(j) = -j**2 - 6*j + 12. Calculate y(t). 5 Let p(m) = 34*m - 163. Let y be (-1677)/(-344) + 4/32. Determine p(y). 7 Let t(h) be the second derivative of -1/12*h**4 + 3*h + 1/3*h**3 + 3/2*h**2 + 3. Let u(s) = -s**2 + 5*s - 1. Let j be u(4). What is t(j)? 0 Let p be (-7 - (-129)/(-27)) + 2/(-9). Let g = 16 + p. Suppose 2*u - g*t = 3*u, 0 = 5*t. Let o(w) = -w - 5. Give o(u). -5 Suppose -25*l + 755 = 130. Let d(s) = -33 + 4 + 11*s + l - s**2. Suppose 3*b = 5*b - 10. Calculate d(b). 26 Let s(a) be the second derivative of a**3/6 - 11*a**2/2 + 23648*a. Let p(o) = 2*o**2 - 3*o + 1. Let n be p(3). Calculate s(n). -1 Let f be 4/(-4 - -8) - (60 - 69). Let s(k) = 2*k**3 - 19*k**2 - 16*k + 24. Calculate s(f). -36 Let w(z) be the third derivative of z**7/2520 + 13*z**6/720 - 7*z**5/40 - 67*z**4/12 + 240*z**2 - 2. Let o(j) be the second derivative of w(j). What is o(-15)? 9 Suppose 0 = 5*z - 0*z - 35. Suppose 4*o = 0, 2*o + z + 3 = 5*d. Let q(p) = -2*p + p**d + 4*p + 1 - 4*p + 5*p**3. Determine q(1). 5 Let r be 26 - -4*(3 + -4). Let g = -14 + 17. Let b(l) = -r - 5*l**g + 22. Give b(-1). 5 Let c(m) = -m**3 - 8*m**2 - 13*m - 47. Suppose 4*r = -y - 15, -5*r = -12*y + 11*y + 3. Calculate c(y). -5 Let p(j) = 12*j + 7. Let o(l) = l + 2. Let k(i) = -i**2 - 9*i + 37. Let c be k(-12). Let z(q) = c*p(q) - 4*o(q). Calculate z(-1). -9 Suppose 111*b - c = 109*b + 26, -5*b + 2*c = -67. Let a(j) = j**3 - 16*j**2 + 13*j - 8. What is a(b)? -38 Let m(f) = 10 + 8*f**2 + 16 + 3*f + 19 + 13 - 59. Calculate m(1). 10 Let k(c) = -c + 3. Suppose -205 = -5*g + 5*w, 7*g - 158 = 3*g + 2*w. Let m be 5/10*g - -1. Suppose 0 = m*z - 21*z + 5. What is k(z)? -2 Let u(o) = 6*o + 18 - 112 + 5*o. Let d be u(8). Let r(w) = -w**3 - 5*w**2 + 8*w + 8. Determine r(d). -4 Let h(a) = -31*a - 5. Suppose 3*o - 19 = -25. What is h(o)? 57 Let k(y) = -y - 3. Let q be 1/((-4)/(-516) + 0). Let g = 51 - q. Let h = g - -69. Determine k(h). 6 Let r(f) = -f**2 - 5*f + 24. Let t be ((-737)/804)/((-1)/(-9)) + (-1)/(-4). Determine r(t). 0 Suppose 35*y - 84 = -14. Let i(b) = 2*b**2 + 2*b - 1. Let t be i(y). Let v(g) = -g**3 + 11*g**2 + g - 4. Calculate v(t). 7 Suppose p = 2*p - 6. Suppose r - 33 = -h + 48, 5*h - 235 = -3*r. Let g(k) = 5*k - 98 + r - 4*k. Determine g(p). -7 Let o(b) be the second derivative of b**5/20 + 7*b**4/12 + 2*b**3/3 + 4*b**2 - 2*b + 1. What is o(-7)? -20 Let j(i) = -5*i**2 + 30*i**3 - 11*i**3 + 20 - 5*i**3 - 15 + 5*i - 13*i**3. Give j(6). 71 Let g(x) = -38 + x - 19 - x**3 - 13*x**2 + 34*x + 67. Determine g(-15). -65 Let u(a) = 3248 + 2*a**2 + 3223 - 9648 - 47*a + 3240. Calculate u(22). -3 Let r(s) be the second derivative of -2*s + 1/2*s**3 - 9 + 7/2*s**2. Determine r(-2). 1 Let i(h) be the third derivative of -11*h**5/60 + h**4/8 - h**3/2 - 4*h**2 + 17*h - 3. Determine i(2). -41 Let b(t) be the first derivative of -4*t**2 - 26*t - 2952. Determine b(-15). 94 Let w(h) = -h**2 + h + 3. Let r be w(0). Let x(v) be the second derivative of -v**4/3 + 2*v**3/3 - v**2 + 69*v + 80. Calculate x(r). -26 Let k(l) = -3*l**2 + 5*l**2 - 6 - 16*l - 2*l - 4*l**2 - 9*l. What is k(-15)? -51 Let a(b) be the second derivative of -7*b**4/12 + b**3/3 + 11*b - 2. Suppose 81*o = -44*o - 250. Determine a(o). -32 Suppose -194*n + 12 - 1429 = 523. Let d(h) = 25*h + 248. Determine d(n). -2 Let l(u) = -19*u - 1318*u**3 + 2634*u**3 - 1315*u**3 + 14 + 8*u**2. What is l(-10)? 4 Suppose 5*t + 0*t - 46 = l, 4*l = -5*t + 16. Let p(w) = 16*w + 66. Calculate p(l). -30 Suppose 10*r - 7*r = 3. Let j(b) = 62*b**2 + 27*b + 22. Let y(v) = -12*v**2 - 5*v - 4. Let z(u) = -2*j(u) - 11*y(u). Calculate z(r). 9 Let h(t) = -t**2 + 10*t - 3. Let o = -499 - -315. Let l = o + 192. Calculate h(l). 13 Suppose -3*f = 5*r - 66, r + 43 = 2*f + 4*r. Suppose -6 = 14*l - f*l. Suppose l*v + 7 = 3. Let j(b) = -2*b + 2. Give j(v). 6 Let j(z) = 59*z - 118. Let v be j(2). Let q(u) be the third derivative of -5/24*u**4 + 0 + 18*u**2 - 1/60*u**5 + v*u + 7/6*u**3. Give q(-6). 1 Let w(d) = d + 2*d**2 - 3 - d + d - 6*d**3 - 7*d**3 + d. Give w(1). -12 Let i(f) be the third derivative of f**7/1680 + 13*f**6/720 - f**5/4 + 46*f**2. Let h(s) be the third derivative of i(s). Give h(-3). 4 Let q(d) = 600 - 10*d + 608 - 2432 + 604 + 593. Calculate q(-6). 33 Let n(u) = -u**3 + u - 2. Let j(y) = 5*y**3 - 16*y**2 - 19*y - 23. Let x(t) = j(t) + 4*n(t). Calculate x(17). 3 Let b(n) = n**3 + n**2 - 4*n. Let l be (1/1)/(79/(-237)). Let i(p) = p**3 - p**2 - 5*p - 1. Let z(q) = l*b(q) + 2*i(q). Let y = -17 + 12. Give z(y). -12 Let m(k) be the second derivative of -5*k**3/6 + 3*k**2/2 + 4*k. Let j = 10303 + -10300. Calculate m(j). -12 Let m(o) = o**2 + 5*o - 5. Let k(r) = 3*r**2 + 13*r + 2. Let d be k(-9). Let i be d/18 + (-9)/81. Suppose -4*g - 17 = i. Give m(g). 1 Let r(b) be the first derivative of -b**4/4 + 13*b**3/3 - 21*b**2/2 - 11*b + 1963. Determine r(11). 0 Let n(d) = d - 1. Let x be ((-16)/(-56))/(2/(1 - -13)). Suppose w = 1 + x. Suppose 0 = 5*k - 22 - w. What is n(k)? 4 Suppose 0 = -2*g - 3*c + 5, -6*g + 7*g + 2 = 3*c. Suppose -4*w - g = -5. Let k(s) = w + 0 - 39*s + 46*s + s**2. What is k(-7)? 1 Suppose 0 = -7*y + 9*y + 12. Let b be ((-4)/(-6))/(((-4)/y)/2). Suppose -b*q - 5*p = -10, 2 = q + p - 3. Let v(i) = -i - 5. Calculate v(q). -10 Let u be (-2 - (-75)/40)*(15 + -103). Let x(j) = -j**2 + 7*j + 35. Calculate x(u). -9 Let z(u) = -19*u - u**2 - 11 + 19*u + 23*u + 2*u + 96. Determine z(28). 1 Let p(r) = -20*r**2 + 100*r - 7. Suppose 12*w + 28 - 182 = -94. Calculate p(w). -7 Let d(f) = 34 - 12770*f - 12776*f + 25547*f. Calculate d(-16). 18 Let c(b) be the second derivative of b**5/120 + b**4/2 - b**3/6 + 6*b**2 - 63*b. Let i(y) be the second derivative of c(y). What is i(-3)? 9 Let n be (50/30 + -2)/((-2)/228). Suppose -2*s - n = -44. Let a(t) = t + 4. Give a(s). 7 Let t(r) = -6*r**2 + 3*r - 2. Suppose -397*w = -360*w - 37. Determine t(w). -5 Let g = 30114 - 30109. Let y(b) be the second derivative of -7*b - 5/6*b**3 + 0 + 7/2*b**2 - 1/3*b**4 + 1/20*b**g. Calculate y(5). 7 Suppose d + 3 = 3*l - 9, -5*d = -l + 18. Let y(q) = l*q + 1 + 2 - 2. Let n = -11 + 14. Determine y(n). 10 Let w(u) be the third derivative of -23*u**5/60 + u**4/6 + u**3/2 - 9562*u**2. What is w(-1)? -24 Let j(z) = -105*z**3 - 50*z**2 - 213*z - 56. Let t(a) = -236*a**3 - 98*a**2 - 425*a - 109. Let c(y) = 9*j(y) - 4*t(y). What is c(-54)? -14 Let h(x) = 348*x**2 + 9 - 125*x**2 - 222*x**2 - 9*x + 2*x. Let d be (-2)/1 - (-2 + -36). Let i be 8/d + (-104)/(-18). Calculate h(i). 3 Let h(i) = 2*i - 2. Let j(l) = -2*l**3 - 7*l**2 - 2*l - 1. Let r(m) = -m**3 - 12*m**2 + m + 9. Let s be r(-12). Let a be j(s). Calculate h(a). -10 Let r(h) = 3*h**3 + 4*h**2 + 7*h + 4. Suppose -1396*u + 1407*u + 22 = 0. Calculate r(u). -18 Let q(i) = -i + 29. Let g(o) = -30. Let n(k) = -3*g(k) - 2*q(k). Let y be 572/(-26) - (1 - 5). Let h be n(y). Let t(l) = -l**2 - 5*l. Determine t(h). 4 Let h(o) = -4*o + 6. Let q be ((-300)/(-40))/((-3)/(-2)). Suppose 0 = -30*i + 29*i + q*m + 20, m + 5 = 0. Determine h(i). 26 Let c = -4329 + 4334. Suppose 0*n = -n + 6. Let w(j) = -n*j**2 - 8 + c + j + 4. Give w(-1). -6 Let c(r) be the third derivative of r**4/24 + 7*r**3/2 + r**2 - 758*r. Determine c(-14). 7 Let n(v) = 42*v**3 - 19*v**3 - 22*v**3 - 8 - 6 + 15. Let y(a) = -a**3 + 6*a**2 - 5*a - 7. Let q be y(5). Let h(t) = -t**2 - 7*t. Let w be h(q). Determine n(w). 1 Let a(v) be the second derivative of v**8/6720 - v**5/120 + v**4/4 - v**3/6 - 70*v. Let z(l) be the third derivative of a(l). Calculate z(0). -1 Let q(x) = -3*x**2 - 2. Let l(p) = -4*p**2 + p - 3. Let d(w) = 2*l(w) - 3*q(w). Determine d(-5). 15 Suppose 4*t = -0*t + 8. Suppose 7 = 5*y + t. Let b(a) be the second derivative of 2*a**5/5 - a**2/2 - 319*a. Determine b(y). 7 Let d = 19 - 13. Suppose 7 + 5 = d*w. Let n(z) = -11*z + 11*z**3 - z**w - 10*z**3 + 9*z - 2*z**2 + 1. What is n(4)? 9 Let w(p) = -27*p**2 - 174 + 75 + 28*p**2 - 265 + 44*p. Give w(-51). -7 Let g(x) = x**3 + 9*x**2 - 2*x - 6. Let q = 3871 - 3880. Calcu
{ "pile_set_name": "DM Mathematics" }
Suppose d*t = 152 + 7. Is t composite? False Let c be 1/3*(2 + 4). Let w = 92 + c. Let h = 147 - w. Is h composite? False Let y be (1 + 0)*(-3 + 3). Suppose 2*z + 2*l - 12 + 2 = y, 16 = 5*z - 4*l. Is (-2)/8 - (-213)/z prime? True Let m = -86 + 33. Let w = 16 - m. Is w a prime number? False Suppose 3*n + 5*q - 779 = 0, 1 = -q - 1. Is n prime? True Is 49 + (5 - 4)*4 prime? True Let c = 110 - 57. Is c a composite number? False Let h(z) = 5*z**2 + 10*z. Let w(j) = 9*j**2 + 19*j. Let k(a) = 11*h(a) - 6*w(a). Let r be k(5). Is 33/r - 12/(-30) a composite number? False Suppose -3*g + 267 = -3*t, 4*g = t + 107 + 237. Is g composite? True Let n = -51 + 118. Suppose -51 - n = -2*t. Is t composite? False Let i(m) = 2*m**2 - 3*m - 4. Let f be i(-4). Let a = 109 + f. Is a a prime number? True Suppose 0 = -4*o + 57 + 563. Suppose -2*x + o = 3*x. Is x a composite number? False Suppose -2*t - 2*t = -16. Suppose -t*k = 2*c - 592, 2*c + k + k = 594. Suppose 4*o - 2*d - c = 0, 5*o + 2*d = 475 - 80. Is o a composite number? True Suppose -4*k - 44 = -4*a, -a + 5*k + 1 - 6 = 0. Let q(w) = -w**3 + 2*w**2 - 2*w. Let z be q(-3). Suppose -2*y = -z - a. Is y prime? False Let s(k) = k**2 - 35*k - 35. Let c = -4 - -6. Let l(f) = 7*f + 7. Let b(m) = c*s(m) + 11*l(m). Is b(-6) a composite number? False Suppose -j = 2*s + 2*j + 29, 4*j = -2*s - 34. Let x(l) = -l + 5. Let i be x(s). Is ((-573)/i - 0)*-4 prime? True Let f be (-1890)/(-4) - 6/(-12). Suppose -o + d = -167, 2*o - f = -o - 4*d. Is o a prime number? True Let r be 7 - 4 - 1*234. Is r*2/(-6)*1 prime? False Suppose -2*t + t = 11. Let m(z) = -7*z + 15. Let w be m(t). Suppose n - w = -n. Is n a prime number? False Let f = 58 - 159. Let l = f - -201. Is ((-3)/(-2))/(15/l) a prime number? False Suppose 2*l - 109 - 95 = 0. Let v be 2*2/((-12)/(-15)). Suppose -l = -5*s + 2*r, -3*s + s + v*r = -24. Is s composite? True Suppose -5*h + 5980 = -1735. Is h a composite number? False Is 5/((2/3)/(70/21)) prime? False Let d(h) be the third derivative of h**5/60 + h**4/6 + 5*h**3/6 + 3*h**2. Let z be d(-4). Suppose -z*i + 125 + 270 = 0. Is i a prime number? True Is (3/(-9))/((-1)/2157) a composite number? False Suppose -4*f - 23 = 21. Let j = f - -7. Let s = j + 7. Is s a composite number? False Let u(t) = -3*t**3 - t**2 + 4*t - 1. Is u(-4) a prime number? False Suppose -4*t + 0 = 24. Let x(u) = -u + 12. Let m(v) = 2*v - 13. Let n(l) = -3*m(l) - 4*x(l). Is n(t) prime? True Let x be 18*1 - (2 + -1). Suppose -5*u + x = 4*a, 5*u - 3*a = -1 - 3. Suppose -u - 3 = -y. Is y a composite number? True Suppose -26 = -5*k - 1. Suppose k*p - 7 - 18 = 0. Suppose -t = -p*x + 443, -x - 453 = -6*x - 4*t. Is x a prime number? True Suppose -11*z + 134 + 59057 = 0. Is z prime? True Suppose m - 600 = -2*m. Let z be (2 + -3)/((-2)/6). Suppose -z*j + 96 = -5*p - 40, -5*j + m = -3*p. Is j a composite number? False Let i(y) = -y**2 - 11*y - 10. Let c be i(-7). Suppose -c = -4*s + 26. Suppose 4*l - s = -5*d + 24, d = 2*l + 7. Is d a composite number? False Let y be -2*5/((-10)/(-3)). Let b = 6 + y. Suppose -2*f - b*t - 30 = -6*f, 0 = -4*f - 4*t + 16. Is f a prime number? False Suppose 0 = 2*d - 453 - 545. Is d a composite number? False Suppose 17*d + 853 = 18*d. Is d composite? False Let n = -1175 - -1731. Let w(k) = 293*k + 8. Let l be w(3). Let o = l - n. Is o a composite number? False Let w(k) be the third derivative of k**5/10 + k**4/24 + 2*k**3/3 + 2*k**2. Is w(-5) prime? True Suppose 5*t = -v - 4 + 24, -4*v + 3*t - 12 = 0. Let g(b) = 2*b - 3. Let o be g(4). Suppose 5*x + 0*c - 835 = 4*c, v = -2*x - o*c + 301. Is x a prime number? True Let t(p) be the second derivative of -p**4/12 + 127*p**2/2 - 3*p. Is t(0) composite? False Is 6/4*(4 - -582) a composite number? True Suppose 4*f + 3*w = 1214 + 528, -429 = -f - 4*w. Is f prime? False Suppose 3*h - 339 = -0*h. Suppose -4*k = -h - 947. Is k prime? False Let a(z) = z**2 - 3*z + 3. Suppose -c = 4*s - 11, -3*c - 5*s = -9 - 10. Let h be a(c). Suppose -h*u - 2*u = -20. Is u a composite number? True Suppose -d + 32 = d. Let y be (-18)/(-3)*(-5)/(-2). Suppose h = y + d. Is h a prime number? True Let v be (0/(-6))/(1 - 0). Suppose v = 2*d - 14 - 24. Is d a prime number? True Let w(i) be the second derivative of -445*i**3/6 - 3*i**2/2 - i. Is w(-2) a prime number? True Let a(p) = p**2 + p + 1. Let v be a(-2). Suppose -5*t - 5*g = -1895, -541 - 989 = -4*t + v*g. Is t prime? False Let h be (-170)/(-50) - (-4)/(-10). Suppose 0 = -c + h*w + 281, 4*c = -3*w + 89 + 1095. Is c prime? True Suppose 0*w = 3*w. Let l be w + 4*4 - 1. Let s = -9 + l. Is s composite? True Suppose 1107 - 263 = 4*s. Is s prime? True Let k be 1 + -1 - (1 + -3). Suppose -198 = -3*v - k*h - 23, 4*h + 200 = 4*v. Let z = 24 + v. Is z a prime number? True Let d be (-1)/2 - 45/(-2). Let a(m) = -3 - d*m + 6 + 2. Is a(-5) composite? True Let v(k) be the first derivative of k**3/3 - 4*k**2 + 3*k + 1. Let r be v(8). Suppose 72 = 4*s - r*i, 4*s - 4*i = -s + 91. Is s prime? False Suppose 5*p = 3*b - 65, 0*p = 5*p - 2*b + 60. Is (-2)/p - (-3162)/15 prime? True Let l(d) = -d**3 + 4*d**2 + 7*d + 6. Let b be l(6). Let f = b + 43. Is f a composite number? False Let z(k) = 29 + 0*k**2 - k**2 + 33 - k - 24. Let s be z(0). Is (-2)/(((-4)/s)/1) a prime number? True Is (2/10 - 3/15) + 633 a composite number? True Let s(i) = i**3 - 6*i**2 + 14*i - 11. Is s(10) a composite number? True Suppose 6*t = 5125 + 8585. Is t prime? False Let a(t) = t**2. Let r be a(-1). Is (3 + -504)*r/(-3) composite? False Let r(k) = k**2 + 6*k + 2. Let f be r(-5). Let y be (f/15 + -1)*-105. Is 2/(-4) - y/(-4) a prime number? True Let j(g) = -g**2 + 7*g + 10. Let b be j(7). Suppose -z + b = z. Suppose -4*u + 166 = 2*i - 106, -z*i + 335 = 5*u. Is u composite? True Let w(c) = -105*c - 5. Is w(-2) a prime number? False Suppose -5*k = -427 + 2. Is k a prime number? False Let o be (0*(3 - 4))/2. Suppose o = 5*p - p. Suppose p = -2*u - 44 + 210. Is u prime? True Let l(z) = 11*z**2 + 3*z + 3. Let p be l(-2). Let f(d) = d**2 - d - 2. Let w be f(2). Suppose -2*m + p = 5*o, -3*m + w*o + 124 = -5*o. Is m composite? True Suppose v + 2*v = 2*l + 24, 4*l = -3*v + 6. Is 70/v*(0 - -3) prime? False Let j = 38 - 10. Let u(m) = -m**2 + 4*m + 4. Let i be u(4). Suppose 0 = i*f - 24 - j. Is f composite? False Suppose 4*b = -4*z - 8, -2*z - b - 4 = -0*b. Let o be ((-3)/(-6))/(z/1524). Is (4/(-6))/(2/o) composite? False Let f(q) = 2*q**2 + 7*q - 8. Let z be f(-6). Is 1/(3 + (-65)/z) a prime number? False Let t(d) = d**3 - 10*d**2 + 13*d + 1. Suppose 0 = -3*c - 3*f + 24, -3*c + 11 + 14 = 2*f. Is t(c) composite? False Is (-1 + 0)/((-1)/46) composite? True Let i(x) = 67*x**3 - 2*x**2 + 1. Let w be i(2). Let u = -318 + w. Is u composite? False Let b(i) = i**3 + 8*i**2 + 5*i + 1. Let p be 1/(0 - 3/21). Is b(p) a prime number? False Let n(s) = 2*s**2 - 6*s + 1. Suppose -7*v - 5*c = -6*v - 15, -4*c = -4*v + 12. Suppose 4*p - 44 = 4*a, v*p - a - 40 = a. Is n(p) a prime number? True Let p(c) = c**3 - 11*c**2 + 7*c - 1. Let z be p(11). Let g be 18/4 + 2/(-4). Suppose -z = -0*o - g*o. Is o prime? True Let p(a) = -a**2 + 16*a + 23. Is p(17) a composite number? True Suppose -2*t = -7 - 1. Suppose 4*j + 4*f = 6*f + 132, -t*j + 5*f + 132 = 0. Is j a prime number? False Let f be 1*-2 + -5 + 7. Suppose f = -v + 5*v - 644. Is v composite? True Let z(r) = 15*r + 2. Suppose -5*c + 10 = -3*k, -3*k - 2*k - 4*c + 45 = 0. Is z(k) composite? True Let t be 72/(-10) - (-2)/10. Let c = -2 - t. Suppose c*z = 4*u - 82, -3*z + 85 - 10 = 3*u. Is u prime? True Let m = -3 - -7. Suppose -5*n + 2*h + 473 = -2*n, -n + 151 = -m*h. Is n a prime number? False Suppose -7192 = -2*h + 2*b, -4*h = -6*h - 5*b + 7185. Is h a composite number? True Let l = 12801 + -6642. Is l a composite number? True Suppose h = -3*f - f + 1897, -f = -5*h + 9506. Is h composite? False Suppose 5*o + 68 = 548. Let s = o + -19. Is s a prime number? False Let s(j) = -6*j - 2. Let f be s(-5). Suppose f = a - 129. Is a a composite number? False Let z be -1*(1 + -1*4). Suppose -z*k + 502 = -k. Is k a prime number? True Suppose 0 = 7*t - 2*t. Suppose 322 = -t*q + 2*q. Is q composite? True Suppose -724 - 254 = -2*x. Is x a composite number? True Let p(u) be the second derivative of u*
{ "pile_set_name": "DM Mathematics" }
e prob of sequence aa when two letters picked without replacement from {h: 4, a: 4, l: 2}. 2/15 Calculate prob of sequence xxbx when four letters picked without replacement from xbxbx. 1/10 What is prob of sequence lrlx when four letters picked without replacement from lxxmxrxrrcrxlcll? 1/182 Four letters picked without replacement from mbmjjmmjbmbmmmbmj. Give prob of sequence bbbb. 1/2380 Calculate prob of sequence uc when two letters picked without replacement from {u: 6, a: 5, z: 4, c: 4}. 4/57 Four letters picked without replacement from {z: 2, h: 1, o: 4, m: 3}. Give prob of sequence zmhz. 1/840 Two letters picked without replacement from {u: 1, y: 1, e: 2, a: 4, k: 6, w: 1}. Give prob of sequence au. 2/105 What is prob of sequence yry when three letters picked without replacement from {r: 2, f: 1, u: 1, x: 1, c: 1, y: 2}? 1/84 Calculate prob of sequence rq when two letters picked without replacement from qrkkk. 1/20 Calculate prob of sequence aoca when four letters picked without replacement from afafooofaaac. 1/198 Two letters picked without replacement from {g: 6, m: 13}. Give prob of sequence gm. 13/57 Calculate prob of sequence yyyw when four letters picked without replacement from tywytpywy. 1/63 Two letters picked without replacement from bbbebeeebbeb. Give prob of sequence be. 35/132 What is prob of sequence tot when three letters picked without replacement from {o: 7, t: 4}? 14/165 Three letters picked without replacement from {d: 1, h: 2, b: 1}. Give prob of sequence hhd. 1/12 Four letters picked without replacement from rjrjjkgrrggjrrrjrr. Give prob of sequence gggk. 1/12240 What is prob of sequence hvp when three letters picked without replacement from {g: 4, h: 1, v: 5, p: 1, u: 4}? 1/546 Three letters picked without replacement from {m: 3, p: 4, i: 4}. What is prob of sequence ppm? 2/55 Two letters picked without replacement from {k: 10, u: 4, e: 5}. Give prob of sequence ke. 25/171 Two letters picked without replacement from tddddt. What is prob of sequence dd? 2/5 Four letters picked without replacement from {c: 3, b: 1, u: 2, w: 1, r: 3, d: 2}. What is prob of sequence ccwc? 1/1980 Two letters picked without replacement from {g: 3, o: 3, n: 2}. What is prob of sequence go? 9/56 Three letters picked without replacement from iffffffffrrrhrh. What is prob of sequence fhr? 32/1365 What is prob of sequence qqqr when four letters picked without replacement from wwqqrrjqqqqrw? 3/143 Four letters picked without replacement from ababqbbqbqsbq. Give prob of sequence bbqb. 4/143 Calculate prob of sequence ozz when three letters picked without replacement from zvovoovzivi. 1/165 Three letters picked without replacement from llhgvghghg. Give prob of sequence vgg. 1/60 Three letters picked without replacement from {p: 1, s: 2, d: 1, w: 1, l: 5}. Give prob of sequence lpw. 1/144 Three letters picked without replacement from {u: 2, s: 5}. Give prob of sequence sus. 4/21 Three letters picked without replacement from {t: 1, r: 1, u: 1}. Give prob of sequence urt. 1/6 Two letters picked without replacement from jjjmzmj. What is prob of sequence mz? 1/21 Three letters picked without replacement from {j: 2, g: 6, c: 4, p: 1, y: 3}. What is prob of sequence gcj? 1/70 Two letters picked without replacement from zxzaaahkaaxzakaaj. Give prob of sequence ha. 1/34 Two letters picked without replacement from {f: 2, r: 1, i: 4}. What is prob of sequence ii? 2/7 Two letters picked without replacement from trupiuvpr. Give prob of sequence ti. 1/72 Two letters picked without replacement from hhnhdshd. What is prob of sequence nh? 1/14 Four letters picked without replacement from nnlnhnlnnzhzntnnhl. Give prob of sequence nthh. 1/1360 What is prob of sequence gr when two letters picked without replacement from {t: 2, d: 5, g: 3, r: 10}? 3/38 Calculate prob of sequence nm when two letters picked without replacement from xxnnxem. 1/21 Four letters picked without replacement from wbwbeewwebj. What is prob of sequence bwjb? 1/330 Two letters picked without replacement from memmeee. What is prob of sequence me? 2/7 Calculate prob of sequence hpp when three letters picked without replacement from {p: 6, h: 12}. 5/68 Calculate prob of sequence sss when three letters picked without replacement from {b: 2, s: 3, v: 4, x: 1}. 1/120 Four letters picked without replacement from hhhhhhh. Give prob of sequence hhhh. 1 What is prob of sequence fh when two letters picked without replacement from {f: 3, h: 12, i: 2}? 9/68 Two letters picked without replacement from {b: 1, k: 1, u: 1}. Give prob of sequence bu. 1/6 What is prob of sequence wx when two letters picked without replacement from {s: 7, w: 6, p: 5, x: 1}? 1/57 Three letters picked without replacement from {z: 1, j: 4, n: 3, r: 7, i: 3}. Give prob of sequence iiz. 1/816 Three letters picked without replacement from lvovooelvvlovooo. Give prob of sequence lvl. 1/112 Calculate prob of sequence uyy when three letters picked without replacement from {u: 1, y: 2}. 1/3 Two letters picked without replacement from bja. Give prob of sequence ab. 1/6 Calculate prob of sequence qqq when three letters picked without replacement from rrqqqrqqrqqrqqqrrrrr. 2/19 Two letters picked without replacement from {u: 2, c: 1, g: 5, z: 1, p: 1, y: 3}. Give prob of sequence yc. 1/52 What is prob of sequence rr when two letters picked without replacement from rtttrt? 1/15 What is prob of sequence aadd when four letters picked without replacement from aaddddadadddadaddd? 11/204 What is prob of sequence pirb when four letters picked without replacement from {r: 1, b: 2, i: 1, t: 2, p: 1}? 1/420 Two letters picked without replacement from {z: 7, h: 3, o: 2}. Give prob of sequence hz. 7/44 What is prob of sequence wbbw when four letters picked without replacement from {w: 4, u: 6, b: 4}? 6/1001 Three letters picked without replacement from diwqiwqaqiwiwa. Give prob of sequence wqw. 3/182 What is prob of sequence fw when two letters picked without replacement from {f: 3, w: 12}? 6/35 Calculate prob of sequence yvyv when four letters picked without replacement from {y: 7, v: 9}. 9/130 Two letters picked without replacement from {l: 2, i: 2}. What is prob of sequence li? 1/3 Four letters picked without replacement from uquuqquu. Give prob of sequence uquq. 1/14 Calculate prob of sequence orco when four letters picked without replacement from {j: 1, o: 2, c: 1, r: 2}. 1/90 Two letters picked without replacement from aajaaaatttaaaaaa. Give prob of sequence tt. 1/40 Three letters picked without replacement from {n: 1, t: 12, m: 6}. What is prob of sequence mmn? 5/969 Two letters picked without replacement from {z: 4, d: 4, s: 4, v: 1, p: 5, w: 1}. What is prob of sequence sd? 8/171 Two letters picked without replacement from {i: 2, z: 2, e: 1, h: 1, y: 1, k: 1}. What is prob of sequence yz? 1/28 What is prob of sequence lu when two letters picked without replacement from mmmumulml? 1/18 Two letters picked without replacement from bzxzazbxbb. Give prob of sequence zx. 1/15 What is prob of sequence cll when three letters picked without replacement from {l: 2, c: 9}? 1/55 Two letters picked without replacement from {j: 3, t: 2, h: 1, y: 1, n: 8, v: 3}. What is prob of sequence jj? 1/51 Four letters picked without replacement from pnnyrxkynxpy. What is prob of sequence nrnp? 1/990 Two letters picked without replacement from ydyydrddddddrrdy. Give prob of sequence dd. 3/10 Three letters picked without replacement from {r: 8, c: 2, d: 2}. What is prob of sequence drd? 2/165 Four letters picked without replacement from fyvyfvvyvfvyv. What is prob of sequence yfvf? 6/715 Two letters picked without replacement from {i: 10, f: 3, z: 1, h: 3, x: 3}. Give prob of sequence if. 3/38 Four letters picked without replacement from yyyyxyxy. What is prob of sequence xyxy? 1/28 Two letters picked without replacement from ttrulumultuutmmt. Give prob of sequence ur. 1/48 Three letters picked without replacement from {h: 2, g: 1, f: 9, j: 2}. Give prob of sequence fhj. 3/182 Calculate prob of sequence pwk when three letters picked without replacement from kzpwpld. 1/105 Three letters picked without replacement from {h: 3}. Give prob of sequence hhh. 1 Calculate prob
{ "pile_set_name": "DM Mathematics" }
+ 4*f wrt j? 8768*f Find the first derivative of 2*c**2*d*s + c**2*p + 2*c**2*s - 3*c*p*s + 22*c*p + d*p*s + 111*d*s wrt d. 2*c**2*s + p*s + 111*s What is the derivative of 92*d*f**2 + 3*d*f + 109*d + 2 wrt f? 184*d*f + 3*d What is the second derivative of -2587*p**4 + 13*p + 80 wrt p? -31044*p**2 Find the second derivative of 27*r**3*x**2 - 5*r**2*x + 4581*r + x**2 wrt r. 162*r*x**2 - 10*x What is the third derivative of -3*q**4 + 846*q**3 + 63*q**2 + 6 wrt q? -72*q + 5076 What is the third derivative of 9*n**5 - 208*n**4 - 2783*n**2 + 2 wrt n? 540*n**2 - 4992*n Find the third derivative of -5888*a**4 + 3*a**3 - 353*a**2 + 3*a + 2 wrt a. -141312*a + 18 What is the derivative of 27*l*m**2 - 2*l*m - l*t + 346*l - 6*m*t wrt m? 54*l*m - 2*l - 6*t What is the derivative of 88*j**3*u + 2552*j**3 - u**2 wrt u? 88*j**3 - 2*u Differentiate 2*l**3*p*v - 720*l**3*p + 347*l*v**3 + 2*p*v**2 with respect to v. 2*l**3*p + 1041*l*v**2 + 4*p*v What is the derivative of 26*m**4*q**3 + 12*m**2*q - 3429*q**3 wrt m? 104*m**3*q**3 + 24*m*q What is the third derivative of -16*i*x**3 + i*x**2 - 201*x**2 wrt x? -96*i What is the third derivative of -21*d*h**3*u - 2*d*h**3 - d*h**2*u + 294*d*u + 4*h**3*u wrt h? -126*d*u - 12*d + 24*u What is the third derivative of 2*g**4*h - 5*g**4 + 322*g**3*h**2 - 6*g**2*h**2 - 11*g**2*h + 2*g**2 wrt g? 48*g*h - 120*g + 1932*h**2 Find the third derivative of -2*c**3*h*m**2 + 724*c**3*m*t + c**2*h*m**2*t + 2*c**2*m**2 - 4*c**2*m - c*h*m**2 wrt c. -12*h*m**2 + 4344*m*t Find the third derivative of 514*s**3*z**2 + s**2*z**2 - s**2 - 254*z**2 wrt s. 3084*z**2 Differentiate 33*j**2*u**2 - 3461*j**2 - 3*j*u**3 with respect to u. 66*j**2*u - 9*j*u**2 What is the third derivative of 7*o**2*p**3 - 6*o**2*p**2 - 3*o*p**5 + 9*o*p**2 - p**4 wrt p? 42*o**2 - 180*o*p**2 - 24*p Find the second derivative of 2*v*w*x**5 + 5*v*w*x + 500*v*x**5 - v - 54*w*x wrt x. 40*v*w*x**3 + 10000*v*x**3 Find the third derivative of 12883*f**5 + f**2 - 280*f + 11. 772980*f**2 What is the derivative of 12*q**3 + 10*q**2 - 133 wrt q? 36*q**2 + 20*q What is the third derivative of 2*b**2*g**3*o**2 - b**2*g**2 - 5*g**3*o**2 - 6*g**3*o + g**2 - 2*o**2 wrt g? 12*b**2*o**2 - 30*o**2 - 36*o Find the third derivative of -730*w**6 + 10*w**3 + w**2 - 1576*w + 3. -87600*w**3 + 60 What is the derivative of 3*c*m**3 + 6*c*m**2 + 9*c*m - 393*c - 1 wrt m? 9*c*m**2 + 12*c*m + 9*c What is the first derivative of -f**3*r - 716*f**3 + 6*f*r**2 + 22*f*r wrt r? -f**3 + 12*f*r + 22*f Find the first derivative of 10*a*c*h + 3*a*h - 72*a + 31*c wrt c. 10*a*h + 31 Find the second derivative of 1504*t**2 + 1599*t wrt t. 3008 Find the third derivative of g**4 - 330*g**3 + g**2 + 134*g + 1. 24*g - 1980 What is the third derivative of -1201*v**3 - 1923*v**2 wrt v? -7206 What is the third derivative of -194*c**6 + 1818*c**2 - 1 wrt c? -23280*c**3 What is the third derivative of -175*y**6 + 179*y**2 - y? -21000*y**3 What is the third derivative of -2433*d**3 + 4361*d**2? -14598 Find the second derivative of -5761*p**3 + 1753*p + 1. -34566*p What is the second derivative of 1387*i**3 + 1153*i? 8322*i Find the second derivative of 380*o**2 - 233*o wrt o. 760 Find the second derivative of -29*f**2*m**3 - f**2*m - f*m**2 + 55*f + 2*m**3 wrt f. -58*m**3 - 2*m Find the second derivative of 31*m**5 + 2*m**3 + 3*m**2 + 11194*m wrt m. 620*m**3 + 12*m + 6 What is the third derivative of -214*y**6 - 259*y**2? -25680*y**3 What is the second derivative of 35*i**2*l**2 + 469*i**2*l + 16*i*l**3 wrt l? 70*i**2 + 96*i*l Differentiate 2*g**3 + 64*g**2 + 2900. 6*g**2 + 128*g Find the second derivative of 13*h**4 - 17*h**2 + 4*h + 4 wrt h. 156*h**2 - 34 Find the first derivative of -2*g**3*o**2 - 14*g**3*p**2 + 97*g**3 - 2*g*o**2*p + 24*o*p**2 wrt o. -4*g**3*o - 4*g*o*p + 24*p**2 Differentiate -243*a*q**3 + a - 133 with respect to q. -729*a*q**2 What is the derivative of 57*h*q*y**2 - 5*h*q*y + 2*h*y**3 + 2*h - q*y**3 + q - 12*y**3 - 11 wrt h? 57*q*y**2 - 5*q*y + 2*y**3 + 2 What is the first derivative of -17605*t**3*v + 3515*t**3 - t**2 + 2 wrt v? -17605*t**3 What is the third derivative of 183*q**6 - 23*q**2 wrt q? 21960*q**3 Differentiate 5413*y - 4307 wrt y. 5413 What is the second derivative of 2762*g**2*h**3 + 2*g**2 + 761*g*h wrt h? 16572*g**2*h Find the second derivative of -o**3*p**2*s - o**3*p + 11*o**3*s**2 + 44*o*p**2*s**2 + o*p**2 - 5*o*p*s**2 wrt p. -2*o**3*s + 88*o*s**2 + 2*o Find the second derivative of 5*x**3 - 927*x**2 - 2100*x + 3. 30*x - 1854 Find the third derivative of 9*j**6 + 59*j**5 - 2*j**4 - j**2 + 6*j + 34 wrt j. 1080*j**3 + 3540*j**2 - 48*j What is the derivative of -982*s**3 + 1391 wrt s? -2946*s**2 Find the second derivative of -1529*d**2 - 2756*d wrt d. -3058 What is the derivative of -36*x**4 + x**2 + 317? -144*x**3 + 2*x Differentiate -x**4 - 1063*x**2 + 3261. -4*x**3 - 2126*x Find the second derivative of -6111*b**5 + 943*b + 13 wrt b. -122220*b**3 What is the third derivative of -12*b**5 + b**4*o - b**3 + 80*b**2*o wrt b? -720*b**2 + 24*b*o - 6 Find the second derivative of -b**2*j**3 + 26*b**2*j**2 - 4*b**2*j - 104*b**2 - 3*b*j**3 wrt j. -6*b**2*j + 52*b**2 - 18*b*j What is the second derivative of -4*d**3 + 41*d**2 - 2*d - 160? -24*d + 82 What is the third derivative of 3*g**6 + 20*g**3 + 571*g**2? 360*g**3 + 120 Find the second derivative of -195*i**3 + 82*i wrt i. -1170*i What is the derivative of 4758*g**2 - 4495? 9516*g Find the second derivative of 66*a**3 - a**2*h**3 + 3*a*h**3 + 21*a*h - 2*h**3 wrt a. 396*a - 2*h**3 What is the third derivative of -2*c**3*f**2*u + 2*c**3*f**2 - 3*c**2*f**2*u + f**2*u - 11*f*u wrt c? -12*f**2*u + 12*f**2 What is the second derivative of 4*h**3*r + 6*h**3*w - h**2*r**2*w - h*r + 2*h*w + 13*r**2*w wrt h? 24*h*r + 36*h*w - 2*r**2*w Find the first derivative of -a**2*h*j**2 - 1834*a**2 - 2*a*j**2 - 2*h*j**2 wrt h. -a**2*j**2 - 2*j**2 What is the third derivative of 40*m**3 - 1323*m**2? 240 Find the second derivative of 2*k*q*s + 12*k*q*u**2 + k*s**3*u - k*s**3 + 3*k*u**2 + q*s**3*u**2 + 7*q*s**3*u wrt u. 24*k*q + 6*k + 2*q*s**3 Find the second derivative of -353*y**5 - 3*y + 43 wrt y. -7060*y**3 Find the first derivative of -a**3 + 1458*a**2 - 2418. -3*a**2 + 2916*a Find the first derivative of -251*i**3*l**2 - 253*i**3 - 2*i**2*l**2 + 3 wrt l. -502*i**3*l - 4*i**2*l Find the third derivative of 672*y**5 - 2*y**3 + y**2 + 7*y - 3 wrt y. 40320*y**2 - 12 What is the derivative of -20*b**3*p - 84*b**3 + 2*b**2*p**3 - b*p**2 wrt p? -20*b**3 + 6*b**2*p**2 - 2*b*p Find the third derivative of -45*b*z**3 + 29*b*z**2 + 2*b*z + 2 wrt z. -270*b Find the third derivative of -294*l*p**4 + 3*l*p**2 - 3*l*p + p**4 - 11*p**2 wrt p. -7056*l*p + 24*p Find the first derivative of -1059*m - 1108. -1059 What is the second derivative of 19*n**3*u + 4*n**3 - 2*n**2*u + 3*n**2 + 6*n*u + 2*n + 3*u - 17 wrt n? 114*n*u + 24*n - 4*u + 6 Find the second derivative of 1597*l**3*m**3 - 144*l**3 - 5*l**2*m - 2*l*m**3 wrt m. 9582*l**3*m - 12*l*m Differentiate 2*s**2*v + 4*s**2 - 5*s*v + 1930*v wrt s. 4*s*v + 8*s - 5*v Find the second derivative of -n**5 + 879*n**4 - 5*n + 79 wrt n. -20*n**3 + 10548*n**2 What is the second derivative of 1916*g**2 + 4252*g wrt g? 3832 What is the third derivative of 33*f**3*g*s*v**3 - 2*f**3*g*s*v**2 - f**3*g*v**3 + 9*f**3*g*v - f**3*s*v**2 + 9*f*g*v - 2*f*v**3 wrt v? 198*f**3*g*s - 6*f**3*g - 12*f Find the second derivative of -c**3 + 19*c**2 + 252*c wrt c. -6*c + 38 Differentiate -256*v**4 + 548 wrt v. -1024*v**3 Differentiate -1272*j**2 - 4098. -2544*j What is the third derivative of -102*m**5 + 20*m**4 - 11*m**2 - 62 wrt m? -6120*m**2 + 480*m What is the third derivative of 695*j**3*n**3 - 44*j**3*n**2 + 3*j**3*n + 4*j**2*n**2 - n**2 wrt n? 4170*j**3 What is the derivative of z**2 + 95*z + 140 wrt z? 2*z + 95 What is the second derivative of -5*r**4 - r**2 - 195*r? -60*r**2 - 2 What is the derivative of 58*n*s**2 - 11*s**2 - 2*s wrt n? 58*s**2 Find the third derivative of -446*u**6 - 2*u**5 + u**3 + 3892*u**2 wrt u. -53520*u**3 - 120*u**2 + 6 What is the first derivative of -3*g**3 + 15*g + 212? -9*g**2 + 15 Find the second derivative of 112*l**5 + 4*l**3 + 17*l - 228 wrt l. 2240*l**3 + 24*l What is the second derivative of -16*a**
{ "pile_set_name": "DM Mathematics" }
-167542/3633 smaller than -46? True Which is greater: 2 or 24868/8105? 24868/8105 Which is greater: -46310 or -43948? -43948 Are -18807336 and 0 equal? False Is -149 at most as big as -56291/378? True Is -4054725 bigger than 9? False Which is bigger: 1 or -1/719985? 1 Which is smaller: 0 or 2/68371385? 0 Are -392318/35 and -11208 equal? False Which is greater: 41916035 or 41916031? 41916035 Which is smaller: -992089 or -991898? -992089 Is 68.83631 less than -3? False Is -1082670 <= -1082466? True Which is bigger: 27 or -6198637? 27 Is -21615/62002 at most as big as 1? True Is -684374 less than -684377? False Which is smaller: -54888 or 474? -54888 Which is smaller: 21398 or 3835? 3835 Is 4/2154173 less than -3? False Which is smaller: -3028338 or -1/3? -3028338 Is 47287/131 less than 0.1? False Are 636001 and 13992005/22 equal? False Is -27434 at least as big as -110? False Which is greater: 92637 or 586? 92637 Which is greater: -0.1998199 or -0.1? -0.1 Is 12960 less than or equal to 12842? False Which is greater: -302403432 or -302403433? -302403432 Which is greater: 660973/10 or 66096? 660973/10 Is 1691 smaller than 30055? True Is 1 bigger than 56/7722047? True Is 4926741 bigger than 4926733? True Which is greater: -1045619 or 1/165? 1/165 Is -1587900 bigger than -1587913? True Are -1/16777789 and 1 unequal? True Is 39004615/66 smaller than 590979? False Which is bigger: -162905 or -162893? -162893 Is 10048863 greater than 30146585/3? True Which is smaller: -7022545 or -7022521? -7022545 Is 22 smaller than 1267.2851? True Which is bigger: 38506766 or 38506765? 38506766 Do 2/7 and 2546617 have the same value? False Is 152224915 at most 152224918? True Which is bigger: 0 or 1/16426732? 1/16426732 Which is greater: -1387261/39 or -35572? -1387261/39 Which is greater: -196 or -12.1632? -12.1632 Which is bigger: 2545039 or 2545037? 2545039 Is 4/329549 not equal to 0.054? True Is -101638 at least as big as -101595? False Which is bigger: 2/277710833 or -0.1? 2/277710833 Is 82/110455 less than or equal to -1? False Is 18 at least as big as -4953313.6? True Which is greater: 79685632 or 79685626? 79685632 Are -4 and -17395/5808 equal? False Which is greater: 233851 or 233866? 233866 Which is smaller: -584716/51 or -1/4? -584716/51 Which is smaller: -33649 or -31951? -33649 Which is smaller: -7138/94289 or 0? -7138/94289 Which is smaller: -4/12726285 or 1? -4/12726285 Which is greater: -13.736 or 0.025276? 0.025276 Which is greater: -4237 or 1/17? 1/17 Which is greater: 8612 or -1.01? 8612 Are 0 and -2/599973159 equal? False Which is smaller: -41683029 or -41683026? -41683029 Which is bigger: -8/660291 or -1? -8/660291 Which is smaller: -43568 or -43831? -43831 Is -4449075 less than or equal to -4449065? True Is -417281 <= -11266622/27? False Which is greater: 0 or 3/835151005? 3/835151005 Do 13197 and -2518 have the same value? False Is -29430 >= -28966? False Which is smaller: -9 or -120174/14917? -9 Which is smaller: -81511 or -12634052/155? -81511 Is -97104412 greater than -97104410? False Which is smaller: -1 or 174/568753? -1 Which is smaller: 29.371 or -241? -241 Which is bigger: -22507479 or 4? 4 Are 0 and -1904/1117129 equal? False Is 883836 greater than or equal to 883912? False Is -1354381 greater than -1354379? False Which is smaller: 3/1369607 or -1? -1 Is -5565.04 less than 0.061? True Is -396105 greater than or equal to -396061? False Which is bigger: 1617/16 or -0.561? 1617/16 Is 2667416 at most 2667422? True Which is greater: 59 or -959415? 59 Is 51276096 less than 51276096? False Are 6 and -1937829 equal? False Does 2793/4 = 2/20137? False Which is bigger: 0 or -241/283170? 0 Which is greater: 3683 or 37165? 37165 Is -14443049 at most as big as -14443056? False Is 76254512 < 76254511? False Is 1 bigger than 9/186484? True Which is smaller: -1 or 627/2462? -1 Which is bigger: -2/247 or -604021? -2/247 Which is smaller: 0 or -2/298403717? -2/298403717 Is -275/5222 smaller than 215? True Do -14/30064765 and -1 have different values? True Which is bigger: -1038174713/4 or -259543679? -1038174713/4 Which is smaller: -0.01 or 5891/994? -0.01 Is -126279013/5 >= -25255804? True Is -18/1601743 >= 1? False Is 47702 at most as big as 342? False Are 1 and -723/108776 unequal? True Is 6/252722363 less than or equal to -1? False Which is greater: -16713825 or -16713826? -16713825 Which is greater: -1869813 or -1869829? -1869813 Is 1/34869 > -1/104? True Is -43828570/33 != -1328139? True Do 61480429 and 61480429 have different values? False Which is smaller: 60500 or 2062? 2062 Which is smaller: 4658.50761 or 2/7? 2/7 Which is smaller: 7261829 or 7261852? 7261829 Is -348471 >= -348270? False Is 747765/38 less than 19679? True Which is smaller: 179617767 or -1? -1 Is -1/6 less than -47/140588? True Do 16117488 and 0.3 have the same value? False Is -18 equal to 5/5289752? False Is -0.06987 greater than 4/47? False Which is smaller: 183518 or 183069? 183069 Is -915754 > -916195? True Do 648 and 41125 have the same value? False Is -57552/10151 bigger than -7? True Which is bigger: 1932100 or 17388895/9? 1932100 Which is smaller: 3984876 or 1/4? 1/4 Which is bigger: -18.77138 or -12? -12 Which is bigger: -2076147 or 132? 132 Is -0.5291 >= -15401? True Is 103 != 26716? True Are -3668 and -10338 non-equal? True Is -2072000/71 at least -29183? False Is -33290346 <= -166451733/5? False Which is smaller: 0 or -20/900037? -20/900037 Which is bigger: -6 or -1096838? -6 Is -586 <= 88326? True Is 98 not equal to 36774/373? True Which is bigger: 8.039 or 561.1? 561.1 Which is bigger: 759638 or 3? 759638 Which is smaller: 12 or 35.9906? 12 Which is smaller: 83149 or -1/565? -1/565 Is -1 equal to 10425/248174? False Which is bigger: -0.47891 or 0.033? 0.033 Which is bigger: -115347336 or -115347329? -115347329 Is -370335 at least as big as -1111001/3? False Is 255178056/29 at least as big as 8799242? True Which is smaller: 1 or 13/57680192? 13/57680192 Which is smaller: -1866863 or -48538457/26? -48538457/26 Which is smaller: 1107603 or 1107608? 1107603 Is 1 at most -474/834589? False Is -2614972 bigger than -0.37? False Which is greater: 2 or 8026/3159? 8026/3159 Which is bigger: 0.11 or 180.89315? 180.89315 Which is smaller: 52330563 or 2/7? 2/7 Is 1 greater than -1878/100441? True Do 610.162 and -2716 have different values? True Is 356/557245 equal to -1? False Is -2666862 <= -2666868? False Is 5678 > 5709? False Which is smaller: 6652820 or 6652868? 6652820 Which is bigger: 77 or 143077? 143077 Is -958 > -591166? True Which is smaller: 53524 or -5029? -5029 Which is bigger: -42273041/8 or -5284131? -42273041/8 Do 2/1990419039 and -1 have the same value? False Do 396624 and 396657 have the same value? False Which is greater: -77/39 or 3738? 3738 Which is smaller: 26991 or 593787/22? 593787/22 Are 3639/59707 and -1 equal? False Is -0.55324 >= -97? True Which is smaller: 20/19376921 or -1? -1 Is -968444 at least as big as -968365? False Which is greater: -1130 or -1641? -1130 Which is smaller: 19110834/13 or 1470063? 1470063 Is -72145957 != -72145956? True Which is bigger: 72922 or 4156490/57? 72922 Which is smaller: 439548108 or 439548111? 439548108 Do -1168007 and 4 have different values? True Is 2/9 at most as big as -353/54018? False Which is greater: -115676311/6 or -19279385? -19279385 Which is greater: -1 or -3505/189353? -3505/189353 Which is smaller: 0 or -3/178091470? -3/178091470 Which is bigger: -80819443 or -323277767/4? -323277767/4 Which is greater: 9988347 or 1/2? 9988347 Is -836558665 greater than -836558664? False Is -17 less than -668190? False Which is smaller: -131115631 or -1/6? -131115631 Which is greater: -4433/307771 or -1? -4433/307771 Is -4339806 at most -4339807? False Is 551 >= 609605/1109? True Which is smaller: 2/4896515 or -1? -1 Which is bigger: -1382014 or 0? 0 Is 68016 greater than or equal to 68561? False Is 2 < -1261946? False Which is bigger: -1351/94 or -550? -1351/94 Which is bigger: -23/15913 or -1? -23/15913 Is -1 <= -16031/188330? True Is -7/5 less than or equal to -3716039? False Is 239309 smaller than 239115? False Which is greater: 27483347 or 27483353? 27483353 Do 1/118077535 and -1 have the same value? False W
{ "pile_set_name": "DM Mathematics" }
posite? False Let d(j) = j**2 - 9. Let b be d(-4). Suppose y = b*y - 2238. Is y a prime number? True Let w(b) = b**3 - 4*b**2 + 4*b + 7. Let r be w(5). Let f = 91 - r. Is f a prime number? False Suppose 0*p + 2*x - 1214 = -4*p, -p = 4*x - 321. Let g = p + -124. Is g a prime number? False Suppose -5*f = -2 - 8. Suppose r = -4*l - r + 20, -f = -l + r. Suppose 0 = -l*w + k - 2*k + 141, 72 = 2*w + 2*k. Is w a prime number? False Let q be (-3 - -2)*(-3 + 2). Let a(n) be the third derivative of n**6/15 + n**3/6 - n**2. Is a(q) composite? True Suppose 0 = -3*q - 2*m + 3031, -1789 = -2*q - 4*m + 245. Is q a prime number? False Is (33455/(-4))/(-5) - (-5)/20 prime? False Let m = -44 - -24. Let c = 391 + m. Is c composite? True Let d(f) = 16*f - 15. Let a(o) = 3*o - 3. Let h(s) = 11*a(s) - 2*d(s). Let j be h(6). Is j/6 + (-543)/(-6) composite? True Suppose 2*o - 266 = -60. Is o a composite number? False Let i = -7 - -9. Suppose 5*r + 3 = -7, -3*o + i*r + 361 = 0. Is o prime? False Suppose 5 = -3*c + 2. Is 37/(0/(-2) - c) a composite number? False Suppose 0 = 3*t + 3, -4*o + 4*t = -3*o - 142. Let u = o + -69. Is u composite? True Let c = -4 - -7. Suppose -119 = c*s + 91. Let h = s + 203. Is h a composite number? True Suppose -5*m + 101 = -w, 3*m - 66 = -4*w + 13. Suppose -m = -4*a + 131. Is a composite? True Let c = 966 - -3895. Is c composite? False Let x = -3 - -10. Is x composite? False Suppose -y - 3 = 0, -4*k - 472 = k + 4*y. Is (k/(-6) - -1)*3 composite? True Suppose 3*o + h = 10 - 1, 23 = 5*o - h. Suppose -4*c + 28 = -0*c - 3*m, -28 = -4*c - o*m. Is c composite? False Let x be (-15928)/(-32) - (-1)/4. Let c = -251 + x. Is c a prime number? False Suppose -4*f = 4*x - 4431 - 8457, -4*f + 16109 = 5*x. Is x a prime number? True Suppose s - 136 = -s. Let c(n) = -6*n - 1. Let o be c(-1). Is (2 - o) + (s - -2) prime? True Let k(a) = 19*a**2 + 3*a - 2. Let o be k(-4). Let t(r) = 11*r**2 + 2*r + 1. Let c be t(7). Suppose -4*w + c = -o. Is w a composite number? False Suppose -4*g + 316 = -2*g. Is g prime? False Let l = 7 + -7. Is 3 - (1 - (l + 77)) composite? False Suppose 2*q - 4198 = -3*p, 4*q = p + 2*p + 8396. Is q prime? True Let o(f) = 40*f - 2. Let j be o(7). Let a = j - 109. Is a composite? True Let x(d) = -d. Let o(k) = 7*k + 4. Let z(r) = o(r) - 2*x(r). Let g be z(3). Suppose -2*v + g + 15 = 0. Is v a prime number? True Let y be ((-21)/(-9) - 2)*-9. Is (127/y)/(3/(-9)) prime? True Let k = -6 + 3. Let y(q) be the first derivative of 2*q**3 - q**2/2 - 4*q - 4. Is y(k) composite? False Suppose 4*j = 5*f + 496, -2*j - 2*f + 246 = -4*f. Is j prime? False Let k(f) = f**2 + 2 + 8*f**3 + 12*f**3 - 3*f**2 - 1. Let d be k(-1). Let o = 12 - d. Is o a prime number? False Let n be (-2)/2 + (-6 - -21). Let f = -9 + n. Suppose -f*r + 582 = -223. Is r composite? True Let z = 254 - 105. Is z a prime number? True Let d be (-1 + 1)/((-4)/(-4)). Suppose d = -3*f - f - 2*a + 228, 5*a - 228 = -4*f. Is f prime? False Let u(j) = -j - 27. Let l(p) = 13. Let i(y) = -9*l(y) - 4*u(y). Suppose 6*n - 3*n = 18. Is i(n) a composite number? True Let r = 8 + -6. Suppose -316 - 40 = r*s. Is (s/8)/(1/(-4)) prime? True Let k(a) = -3*a + 0 + 3*a + 1 - 2*a. Is k(-3) prime? True Let d(m) = -88*m + 6. Let g be d(-5). Suppose j - g = -j. Is j prime? True Suppose 58 = d + 5. Is d a prime number? True Suppose 0 = x - 2*x - 42. Let p be (x/9 + 3)*-3. Suppose -629 = -4*v - p*b - 0*b, -2*v - 5*b + 307 = 0. Is v a prime number? False Suppose 0 = -x + 1, -i - 4 = 3*x - 16. Suppose 0 = -0*y - 4*y + 8. Let n = i - y. Is n composite? False Let r = -123 - -254. Suppose y + 4*m - 34 - 5 = 0, 0 = -3*y - 5*m + r. Is y prime? True Let i(p) = p**3 + 10*p**2 - 2*p - 5. Let a be i(-9). Let d = -36 + 9. Let u = d + a. Is u composite? False Suppose -4*y - 1976 = 560. Let n = y + 10. Let c = -439 - n. Is c a prime number? False Let t = 7 + -7. Let f be t/2 + -4 + -2. Let s = f - -12. Is s prime? False Let o = 0 + 0. Suppose -4*p = -o*p - 12. Suppose 0 = 4*g - p*g - 19. Is g composite? False Let v(t) = 10*t**2 - 2*t - 8. Let h(d) = d**2 - d - 1. Let q(z) = h(z) + v(z). Is q(5) a composite number? False Is 293*(-5)/(-25)*5 a composite number? False Suppose -d = -3*k + 6*k - 322, 4*k = 20. Is d prime? True Let a = -6 - -8. Is ((-25)/a)/((-2)/4) a prime number? False Suppose 3833 = 6*r - 205. Is r composite? False Let k(j) = 46*j + 3. Let y be k(4). Suppose y = -u + 2*u. Is u prime? False Suppose -144 = 4*p - 0*p. Is 4/(-18) + (-4076)/p a prime number? True Let k(y) be the second derivative of y**4/4 - y**3/3 + y**2 + y. Let l = -7 - -10. Is k(l) a composite number? False Let v(i) = -i**3 - 14*i**2 + 10*i + 4. Is v(-15) composite? False Let x be ((-8)/2)/((-1)/6*3). Let m(u) = 13*u + 2 + 9 + 15*u. Is m(x) composite? True Let p(r) = r**3 + 8*r**2 - 9*r + 11. Suppose 5*q = 5*w - 85, -q - 35 = 2*q + 5*w. Let u = 6 + q. Is p(u) a prime number? True Suppose g - 389 = 4*o + 253, -2*g - 4*o = -1260. Is 1/3 - g/(-6) composite? True Suppose n - 54 - 103 = 0. Is n prime? True Suppose 5*v = 30 + 170. Suppose -v = n + 42. Let o = n + 149. Is o prime? True Let f = -39 - 8. Let c = 174 + f. Is c prime? True Let l(m) = 71*m + 1. Let x be l(-7). Let k = 831 + x. Is k composite? True Let y(b) be the third derivative of -b**5/60 + b**4/2 + 4*b**3/3 - 4*b**2. Is y(9) prime? False Let b be 128/2 + (3 - 4). Suppose -2*u - 4*d = -b + 19, -3*u + 82 = 2*d. Suppose 0 = -2*x - 0 + u. Is x a prime number? False Let w be ((-10)/(-6))/((-1)/(-321)). Suppose 5*i - 2*q = w, -i + 44 = 2*q - 75. Is i composite? False Let y = -19 + -50. Let b = 162 + y. Suppose 0 = -z + b + 130. Is z prime? True Suppose 0 = -17*c + 26*c - 61497. Is c composite? False Suppose 5*p - 2*p + 37 = -5*i, 0 = -2*i - p - 14. Let x = i + 3. Is (-2)/x*-1*-37 a prime number? True Let k(m) = -2*m - 2. Let h be k(-2). Suppose 3*y = 6, 49 = -5*z - h*y + 488. Is z a prime number? False Suppose 8*o - 9*o = -3. Suppose -2*w - p = 34 + 14, o*p + 98 = -4*w. Let z = w - -42. Is z a composite number? False Let i be (3 + (2 - 5))/2. Suppose -4*d + d + 273 = i. Is d a prime number? False Let w(x) = -x**2 + 3*x - 1. Let y be w(1). Let z = y - 0. Let t = 22 + z. Is t composite? False Let c(o) = -67*o + 2. Suppose -7 = -2*d - 13. Is c(d) a prime number? False Suppose 0 = -3*j + 4*j - 24. Is (-8)/j + (-34)/(-3) prime? True Let a(d) = -15*d**2 + 11*d + 11. Let b(p) = 3*p**2 - 2*p - 2. Let y(n) = -2*a(n) - 11*b(n). Let v be y(2). Is (1 - 27)*6/v a prime number? True Is -346*(3/2 + -3) a prime number? False Suppose -5 = -2*l - 1. Suppose -4*u = -5*o + u - 440, 5*o = l*u - 425. Is o/(-1)*(3 - 2) composite? False Let f(m) = -m**3 - 4*m**2 - 5*m - 4. Suppose 4*h + y = -9, 4 = 3*y - 5. Let r be f(h). Suppose r*u = 3*z - 18 + 4, -5*z + 3*u = -23. Is z prime? False Let w = 584 - 333. Is w prime? True Is (-4)/(-30) - (-9541)/105 a prime number? False Suppose 0*k = 2*x + 3*k - 2726, -x = k - 1363. Is x a composite number? True Suppose 401 = 5*q - 219. Suppose -4*i - q = -1136. Is i a composite number? True Let l(n) = 39*n + 19. Is l(8) composite? False Let d = 510 - 251. Is d a prime number? False Let h be ((-44)/16)/((-2)/8). Suppose 2*w = w + h. Suppose 0 = m - w. Is m a prime number? True Let q be (2 + (-4 - -3))*2. Suppose -3*i + 5*j = 206, -q*i = -6*i - j - 244. Let o = i - -100. Is o composite? True Let r(j) = j**3 - 2*j + 3637. Is r(0) a prime number? True Suppose 0 = -3*h + 3 + 3. Is (1*h)/((-8)/(-452)) prime? True Let g(z) = -z**3 - 3*z**2 + 1. Let t(a) = -a**2 + a + 3. Let d be t(3). Let b be g(d). Is (-1 + 22 + -2)/b prime? True Let f = -7 - -12. Suppose 3*s + s = -f*x + 1816, 2*s = 3*x + 886. Is s composite? False Let a(o) = o**3 + 9*o**2 + o - 9. Is a(6) composite? True Suppose 12*p + 1426 - 14518 = 0. Is p a prime number? True Let s(g) = -g**3 + 3*g**2 + 2*g - 3. Let q be s(2). Let p = q - 1. Suppose -p*w = o + 2*o - 22, 0 = 4*o - w - 4. Is o a composite number? False Suppose 0*m - 4*m = -4. Suppose -3*n - 2*z = 11, n = -3*n + 3*z + 8. Is n - 45*(-2)/m prime? True Let c(g) = g**3 + 5*g**2 - g - 7. Let t be c(-6). Let n = t - -92. Is n a prime number? False Is ((-1)/(5/(-35)))/(2/278) a prime number? False Let p(i) = 40*i + 1. Is p(4) prime? False Let x(d) = -d**3 - 8*d**2 - 2*d - 2.
{ "pile_set_name": "DM Mathematics" }
(p)? -29*p Let i(y) = -y**3 - 13*y**2 - 31*y - 222. Let a be i(-12). Suppose a*t + 19*t = 75. Let x(p) = -p + 1. Let c = 8 + -15. Let h(j) = -j + 2. Give c*x(s) + t*h(s). 4*s - 1 Let l(m) = 5*m - 9. Let f = -2364 + 2360. Let j(t) = t - 1. What is f*j(b) + l(b)? b - 5 Let i(a) = -30*a**3 - 3*a**2 + a - 25. Let t(v) = 23*v**3 + 2*v**2 - v + 25. Determine 3*i(u) + 4*t(u). 2*u**3 - u**2 - u + 25 Let h(c) = 50*c**2 - 5*c + 2. Let r(n) = 148*n**2 - 15*n + 7. Give -10*h(l) + 3*r(l). -56*l**2 + 5*l + 1 Let d(y) = 19219*y**2 - 48*y - 2. Let o(q) = -19218*q**2 + 40*q + 2. Determine -5*d(j) - 6*o(j). 19213*j**2 - 2 Let w(p) = -13*p**3 + 17*p**2 - 7*p + 129. Let t(x) = -7*x**3 + 7*x**2 - 3*x + 65. Determine -7*t(n) + 3*w(n). 10*n**3 + 2*n**2 - 68 Let i be (-33)/(-24) + 372/(-992). Let t(x) = -22*x**2 - 22. Let v(j) = 1. Determine i*t(k) + 22*v(k). -22*k**2 Let p be -2 - (-3 - (-4 + 2)). Let r(l) = -l**2 + 4*l - 2. Suppose g + 4*g = 45. Let o = 7 - g. Let t(c) = 1. Determine o*t(u) + p*r(u). u**2 - 4*u Let n(g) = -g**3 + g**2 + g + 1. Let q(u) = u**2 + 17*u + 5. Let f(x) = -x**3 - 12*x - 6. Let s(r) = -4*f(r) - 3*q(r). Calculate 3*n(a) + s(a). a**3 + 12 Let k(c) = -3*c**3 + 2*c**2 - 3. Let p(d) = -3 - 6 + 220*d**2 - 10*d**3 - 14*d**2 - d - 200*d**2. Calculate -7*k(o) + 2*p(o). o**3 - 2*o**2 - 2*o + 3 Let o(x) = -1. Let v(r) = 30*r**2 + 2. Let q = -1595 + 1597. Calculate q*o(c) + v(c). 30*c**2 Let h(j) = j**3 + 8*j**2 + j - 89. Let a(m) = -2*m**3 - 10*m**2 - 2*m + 90. What is 2*a(o) + 3*h(o)? -o**3 + 4*o**2 - o - 87 Let b(r) = -16*r - 23. Let f(z) = 5*z + 8. Let d(h) = h**2 + 58*h + 212. Let j be d(-4). Calculate j*b(w) - 11*f(w). 9*w + 4 Let q(u) = 103*u**2 - 33*u + 62. Let p(y) = 116*y**2 - 39*y + 63. Determine -8*p(d) + 9*q(d). -d**2 + 15*d + 54 Let x(b) be the third derivative of -b**5/15 - b**4/8 + 205*b**2 - b - 2. Let u(l) be the first derivative of l**3/3 - l**2/2 + 2. Give -3*u(p) + x(p). -7*p**2 Let v(n) = -3*n + 49. Let y(k) = 4*k - 47. Determine 2*v(x) + 3*y(x). 6*x - 43 Let z(q) = 3*q**3 - 20*q**2 - 38. Let i be ((-60)/(-120))/(2/4). Let g be i*2*(-9)/((-162)/153). Let d(f) = -f**3 + 7*f**2 + 13. Calculate g*d(m) + 6*z(m). m**3 - m**2 - 7 Let i(v) = 37*v**2 + 93*v + 406. Let t(w) = 5*w**2 + 15*w + 58. What is -2*i(r) + 15*t(r)? r**2 + 39*r + 58 Let r(t) = 45*t**2 - 84*t - 6. Let x(f) = 23*f**2 - 45*f - 3. Determine 8*r(y) - 15*x(y). 15*y**2 + 3*y - 3 Suppose 65 = -w + 6*w. Suppose 5*r - w = 2*c + 144, 4*c = r - 17. Let h(i) = 4306*i**2 - 4330*i**2 - 3 - 30. Let n(a) = -3*a**2 - 4. Calculate r*n(z) - 4*h(z). -3*z**2 Let i(s) = -7*s**3 + 3*s - 3. Let d(u) be the first derivative of 5*u**4 + u**3/3 - 5*u**2 + 10*u - 2423. Determine -2*d(r) - 7*i(r). 9*r**3 - 2*r**2 - r + 1 Let l(d) = -37*d. Let u(y) = -3*y - 1. What is l(m) + 3*u(m)? -46*m - 3 Let j(z) = -130548*z**2 + 1892*z - 344. Let o(w) = 3784*w**2 - 55*w + 10. Calculate -5*j(p) - 172*o(p). 1892*p**2 Let r(k) = 2*k - 1. Let s(b) = -b**2 + 14*b + 1139. Determine 7*r(d) - s(d). d**2 - 1146 Let l(d) = d**2 + d + 1. Let s(n) = -n**3 - 6*n**2 - 5*n - 5. Suppose 0 = 5*j + 7 + 18. Determine j*l(t) - s(t). t**3 + t**2 Let l(n) = n**2 + 3*n - 4. Let i(o) = 5*o**2 - 269*o - 19. What is i(a) - 3*l(a)? 2*a**2 - 278*a - 7 Let r(w) = 2*w**2 + 6*w + 75. Let b(x) = -x**3 + x**2 + 2*x - 1. Calculate -2*b(s) + r(s). 2*s**3 + 2*s + 77 Let c(g) = 467*g**3 + 4*g**2 + 6*g. Let a(i) = 2*i**3 - 2*i**2 - 3*i. Determine 2*a(b) + c(b). 471*b**3 Let a(u) = 2*u**2 + 2. Let d(k) = -10*k**2 + 7*k**2 + 17249 - 17253. Give -13*a(l) - 6*d(l). -8*l**2 - 2 Let a(n) = 5*n**3 - n + 5. Let h(i) = 5*i + 58 - 4*i + 3 - 31 - 31. Calculate a(f) + 4*h(f). 5*f**3 + 3*f + 1 Let q(d) = -d**2 - d. Let f(u) = -4*u**2 - 4*u + 5. Suppose 0 = -47*k + 49*k - 110. Suppose k - 56 = v. Determine v*f(l) + 6*q(l). -2*l**2 - 2*l - 5 Suppose 5*m + 22 = -3. Suppose -15*o = -11*o + 40. Let z = o + 16. Let s(v) = 9*v**2 - 6*v - 6. Let d(y) = 8*y**2 - 5*y - 5. Determine m*s(k) + z*d(k). 3*k**2 Let h(r) = 328*r**2 + 262. Let o(u) = -165*u**2 - 158. What is 3*h(c) + 5*o(c)? 159*c**2 - 4 Let t(d) = 140*d**3 + 14*d**2 - 14. Let q(m) = -2*m**2 + m + 1. Let n(i) = 28*i**3 + 19*i**2 - 8*i - 11. Let b(z) = n(z) + 8*q(z). Determine -14*b(c) + 3*t(c). 28*c**3 Suppose 10*o + 5009 = 5039. Let q(l) = -25*l - 5. Let x(y) = -8*y - 2. Give o*q(h) - 8*x(h). -11*h + 1 Let b(g) = -2*g**2 - 3*g + 1. Let i(n) = -1947*n**2 - 198*n + 66. Give 66*b(f) - i(f). 1815*f**2 Let h(c) = -4*c**3 + 1. Let o(a) = -551*a**3 + 5. Determine 7*h(t) - o(t). 523*t**3 + 2 Let z(c) = -2*c**2 + 3*c - 3. Suppose -2*u - a + 5*a = -10, 4*a = 5*u + 5. Let k(b) = -3*b**2 + 5*b - 5. Let i = -1266 + 1269. Determine i*k(f) + u*z(f). f**2 Let q(y) = 31208*y**3 + 141*y**2 - 47*y + 47. Let h(j) = -3285*j**3 - 15*j**2 + 5*j - 5. Give -47*h(u) - 5*q(u). -1645*u**3 Let y(m) = -77*m**2 - m - 1. Let p(x) = 116*x**2 + x + 2. Let i(u) = -2*p(u) - 3*y(u). Let t(g) = -2*g**3 + 3*g**2 - 3*g + 10. Calculate -3*i(k) - t(k). 2*k**3 - 7 Let q(o) = -1344*o**2 - 1. Let i(z) = -13*z**2. Give -2*i(k) + q(k). -1318*k**2 - 1 Let c(f) = f**2 - f - 27. Let y(z) = -10*z**3 + 265*z - 54. Determine 2*c(p) - y(p). 10*p**3 + 2*p**2 - 267*p Let l(b) = 5 + 4 + 3*b + 5 + 2*b. Let m(h) = 4982*h - 2490*h + 5 - 2490*h. What is 6*l(c) - 17*m(c)? -4*c - 1 Let t(k) = 49*k + 20 + 120*k**3 + 32 + 3*k - 52*k**2. Let y(w) be the first derivative of 7*w**4/4 - w**3 + 3*w**2/2 + 3*w - 1502. What is 6*t(n) - 104*y(n)? -8*n**3 Let h(j) = 4*j + 3. Let p(o) = 2*o + 21. Let l be p(-10). Let r(g) = -578*g - 5786. Let w be r(-10). Let d(a) = a. What is l*h(n) + w*d(n)? -2*n + 3 Suppose -2*y + 6 = -y. Let i(l) be the second derivative of l**3/6 + 3*l - 1972. Let x(r) = r. What is y*i(f) - 5*x(f)? f Let d(y) = -y**2 + 2*y. Let u(a) = 135*a**3 + 2*a**2 - 5*a + 4. Calculate 2*d(w) + u(w). 135*w**3 - w + 4 Let f(y) = -8*y**2 + 11*y. Let v(q) = -7*q**2 + 10*q. Suppose 14585*h - 98 = 14571*h. Determine h*v(t) - 6*f(t). -t**2 + 4*t Let w(u) = -92*u + 2. Let t be w(0). Let c(a) = a - 1. Let s(l) = -l - 28. Give t*c(m) + s(m). m - 30 Let d(k) be the first derivative of k**2/2 + 635. Let x(s) be the second derivative of 3*s**3/2 + s**2 + s. What is -4*d(a) + x(a)? 5*a + 2 Let i(s) = -295*s - 315*s + 612*s + 27 - 27. Let o(m) = m**2 - 4*m + 1. Suppose -n + 12 = 2*q, 5*n + 0*n - 25 = -3*q. Give q*i(f) + 2*o(f). 2*f**2 + 2*f + 2 Let k(o) = -24*o**2 - 3*o - 5*o**2 + 26*o**2 - 3 - o**2. Let g(u) = -28*u**2 - 20*u - 20. What is -3*g(y) + 20*k(y)? 4*y**2 Let h(b) = 2*b**2 - b - 2. Let j(z) = z**3 + z + 1. Suppose -102 = -20*v - 82. What is v*h(t) + j(t)? t**3 + 2*t**2 - 1 Let n(i) = i + 1. Let z(o) = 4*o + 2. Suppose 3*g = 5*j + 32, 5*g = -3*j + 10*g - 32. Let d be 12/(((-30)/(-4))/5). Determine d*n(b) + j*z(b). -8*b Let r(b) = 9*b**2 + 5*b. Let k be 633/9 + (-2)/15*-5. Let c = k - 46. Let g = c - 23. Let l(a) = -4*a**2 - 2*a. Give g*r(o) + 5*l(o). -2*o**2 Let o(s) = 58*s**3 + 3*s - 3. Suppose 5 = 5*k, 875*d - 4 = 872*d + 2*k. Let c(h) = -58*h**3 - 2*h + 2. Determine d*o(b) + 3*c(b). -58*b**3 Let d(i) = -i - 1. Let s(k) = -k + 3. Let u(t) = -25*t - 851. Let w be u(-34). Let c(p) = p**2 - 4*p - 6. Let q be c(5). Determine q*d(o) + w*s(o). 2*o - 2 Let n(u) = 2*u**2 + 63*u - 2. Let a(b) = b**2 + 9*b. Calculate -6*a(k) + n(k). -4*k**2 + 9*k - 2 Let u(d) = 152 - 302 + 150 - d. Let c(v) = 4*v - 67. Let l be c(17). Let j(i) = -3*i**2 - 3*i - 1. Calculate l*j(t) - u(t). -3*t**2 - 2*t - 1 Suppose 3*m + 3*m = 3702. Let z = 615 - m. Let r(q) = -6*q. Let f(d) = 5*d. Determine z*r(i) - 3*f(i). -3*i Let n(i) = -41*i**3 - 40*i**2 - 27*i - 729. Let j(g) = 3*g**3 + 3*g**2 + 2*g + 56. Calculate -54*j(b) - 4*n(b). 2*b**3 - 2*b**2 - 108 Let c(w) = -1. Let s = -356 + 169. Let j = s - -188. Let r(q) = 3*q**3 - q**2 - q + 5. What is j*r(y) + 5*c(y)? 3*y**3 - y**2 - y Let b(s) = -18*s**2 + 3*s - 3. Let t(o) = 8 + 6*o**2 - 1 - 2*o - 5*o + 31*o**2. Give -14*b(a) - 6*t(a). 30*a**2 Let u(q) = -137*q + 14. Let l(s) = -152*s + 14. What is -7*l(i) + 8*u(i)? -32*i + 14 Let p be (3133/39)/((-1)/(-6)). Let g = p + -477. Let t(q) = -5*q + 5. Let b(v) = 4*v - 4. Give g*t(s) + 6*b(s). -s + 1 Let j(f) = -f**3 - 4*f**2 - f. Let d(n) = 3*n**3 + 8*n**2 + 3*n**2 - 4*n**2 - 2*n**3 + n. Let m be 1/(4 + 290/(-70)
{ "pile_set_name": "DM Mathematics" }
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4 What is the units digit of 67? 7 What is the thousands digit of 2645? 2 What is the thousands digit of 14400? 4 What is the tens digit of 924? 2 What is the ten thousands digit of 11620? 1 What is the hundreds digit of 84875? 8 What is the hundreds digit of 872? 8 What is the thousands digit of 3740? 3 What is the thousands digit of 3521? 3 What is the tens digit of 2384? 8 What is the hundreds digit of 2469? 4 What is the tens digit of 43991? 9 What is the units digit of 7526? 6 What is the thousands digit of 27181? 7 What is the units digit of 87662? 2 What is the hundreds digit of 20964? 9 What is the units digit of 14756? 6 What is the tens digit of 3807? 0 What is the thousands digit of 2997? 2 What is the thousands digit of 115643? 5 What is the thousands digit of 1453? 1 What is the units digit of 975? 5 What is the units digit of 35892? 2 What is the hundreds digit of 7579? 5 What is the tens digit of 295? 9 What is the hundreds digit of 2371? 3 What is the units digit of 4149? 9 What is the hundreds digit of 1033? 0 What is the ten thousands digit of 33890? 3 What is the tens digit of 147435? 3 What is the thousands digit of 35170? 5 What is the hundreds digit of 16483? 4 What is the hundreds digit of 85931? 9 What is the tens digit of 28328? 2 What is the hundreds digit of 97122? 1 What is the units digit of 801? 1 What is the hundreds digit of 514? 5 What is the units digit of 1136? 6 What is the hundreds digit of 688? 6 What is the hundreds digit of 113? 1 What is the thousands digit of 1703? 1 What is the hundreds digit of 192? 1 What is the tens digit of 316? 1 What is the hundreds digit of 146568? 5 What is the thousands digit of 28075? 8 What is the hundreds digit of 31595? 5 What is the hundreds digit of 1763? 7 What is the tens digit of 647? 4 What is the units digit of 16556? 6 What is the units digit of 742? 2 What is the thousands digit of 12746? 2 What is the units digit of 2095? 5 What is the tens digit of 19327? 2 What is the ten thousands digit of 22575? 2 What is the hundreds digit of 6269? 2 What is the ten thousands digit of 42858? 4 What is the tens digit of 2925? 2 What is the tens digit of 60035? 3 What is the thousands digit of 78037? 8 What is the hundreds digit of 2875? 8 What is the tens digit of 277? 7 What is the tens digit of 504? 0 What is the tens digit of 145621? 2 What is the hundreds digit of 2986? 9 What is the hundreds digit of 319? 3 What is the tens digit of 8314? 1 What is the tens digit of 12587? 8 What is the thousands digit of 11844? 1 What is the tens digit of 56? 5 What is the units digit of 158? 8 What is the units digit of 735? 5 What is the hundreds digit of 253? 2 What is the units digit of 1591? 1 What is the thousands digit of 1037? 1 What is the tens digit of 5049? 4 What is the thousands digit of 51627? 1 What is the hundreds digit of 6326? 3 What is the thousands digit of 2981? 2 What is the hundreds digit of 3158? 1 What is the ten thousands digit of 35846? 3 What is the hundreds digit of 16498? 4 What is the units digit of
{ "pile_set_name": "DM Mathematics" }