text
stringlengths 270
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96729
What is next in -3896, -3230, -2592, -1994, -1448, -966, -560?
-242
What is next in -153343, -153349, -153343, -153313, -153247, -153133, -152959?
-152713
What is the next term in -294, -4601, -16310, -39123, -76742, -132869, -211206?
-315455
What comes next: -14554, -29261, -43926, -58549?
-73130
What is the next term in -1896823, -3793646, -5690469, -7587292?
-9484115
What is next in -3437688, -6875370, -10313052, -13750734, -17188416, -20626098?
-24063780
What is next in -2842136, -5684275, -8526414, -11368553?
-14210692
What is next in -8537, -34581, -78127, -139175?
-217725
What comes next: -10661, -10983, -11869, -13607, -16485, -20791?
-26813
What comes next: -3510, -502, 2506?
5514
What is next in -3886, -3877, -3866, -3853, -3838?
-3821
What is the next term in -15266, -16740, -18198, -19628, -21018, -22356?
-23630
What is next in -2877, -13796, -32029, -57576?
-90437
What comes next: -78521, -156980, -235377, -313712, -391985, -470196?
-548345
What comes next: 351109, 702160, 1053211, 1404262, 1755313, 2106364?
2457415
What comes next: 1031, 2077, 3099, 4091, 5047, 5961?
6827
What is next in -692, -59, 654, 1447, 2320, 3273?
4306
What is next in -4392, -8596, -12820, -17070, -21352, -25672?
-30036
What comes next: 654981, 2619669, 5894065, 10478169, 16371981?
23575501
What is the next term in -5134867, -20539464, -46213793, -82157854, -128371647, -184855172, -251608429?
-328631418
What comes next: -6364, -6473, -6654, -6907, -7232, -7629, -8098?
-8639
What comes next: -5664, -11166, -16586, -21882, -27012?
-31934
What comes next: 10353, 20245, 29679, 38655?
47173
What comes next: 600, -4419, -12782, -24489?
-39540
What is next in -599, -1281, -2475, -4427, -7383, -11589, -17291?
-24735
What is next in -12461, -20164, -27867, -35570, -43273, -50976?
-58679
What comes next: -2939, -6191, -9467, -12785, -16163?
-19619
What comes next: 52313, 52457, 52635, 52865, 53165?
53553
What comes next: -10818449, -10818448, -10818447?
-10818446
What is the next term in -972, -1014, -1046, -1050, -1008, -902, -714, -426?
-20
What comes next: 42780, 84570, 126346, 168102, 209832, 251530, 293190?
334806
What is next in 2970, 10381, 22230, 38517, 59242?
84405
What is the next term in -13065, -52483, -118181, -210159, -328417, -472955, -643773?
-840871
What is the next term in 1105, -10151, -21405, -32657?
-43907
What comes next: -2235624, -4471241, -6706850, -8942451, -11178044?
-13413629
What is next in -16371517, -16371515, -16371513, -16371511?
-16371509
What is next in 12440, 12328, 12216, 12104, 11992?
11880
What is next in -1016340, -1016342, -1016344, -1016346, -1016348, -1016350?
-1016352
What comes next: -6095380, -6095361, -6095316, -6095233, -6095100, -6094905, -6094636?
-6094281
What comes next: 26886, 54025, 81420, 109071, 136978?
165141
What is the next term in 63125, 253363, 570711, 1015169, 1586737, 2285415, 3111203?
4064101
What comes next: -11388, -11409, -11370, -11241, -10992, -10593, -10014, -9225?
-8196
What is next in -4944, -40017, -135590, -322035, -629724, -1089029, -1730322?
-2583975
What comes next: -17435, -69782, -157029, -279176, -436223, -628170?
-855017
What comes next: 245450, 490652, 735854, 981056, 1226258?
1471460
What is the next term in -3384, -7310, -13854, -23022, -34820?
-49254
What is the next term in 182290536, 364581075, 546871614?
729162153
What comes next: -803979, -803967, -803955, -803943, -803931?
-803919
What comes next: -1114, -5741, -10368, -14995, -19622?
-24249
What is the next term in -238, 1835, 6218, 12911, 21914?
33227
What is next in 6052, 13336, 20620, 27904, 35188, 42472?
49756
What is the next term in -8061, -16333, -24773, -33465, -42493, -51941, -61893, -72433?
-83645
What comes next: -258, -548, -992, -1662, -2630, -3968?
-5748
What is next in -400262, -400756, -401580, -402734, -404218?
-406032
What comes next: 1714007, 1714008, 1714007, 1714004, 1713999, 1713992?
1713983
What comes next: -36207, -72456, -108717, -144990, -181275, -217572, -253881?
-290202
What comes next: -5793598, -11587191, -17380784, -23174377?
-28967970
What comes next: -7984, -63889, -215640, -511159, -998368?
-1725189
What is the next term in 329, 1263, 3795, 8723, 16845, 28959, 45863, 68355?
97233
What is next in 22343514, 22343515, 22343516, 22343517?
22343518
What is the next term in -571195, -570835, -570241, -569413?
-568351
What is the next term in -3940410, -7880738, -11821066, -15761394, -19701722?
-23642050
What is next in -359, -195, 55, 433, 981, 1741?
2755
What is next in -13080, -104531, -352736, -836067, -1632896, -2821595, -4480536, -6688091?
-9522632
What is next in 710213, 1420505, 2130797, 2841089?
3551381
What comes next: -1048, -4052, -9018, -15940, -24812, -35628, -48382?
-63068
What is the next term in -31446588, -31446588, -31446586, -31446582, -31446576, -31446568, -31446558?
-31446546
What comes next: -3247, -3436, -4151, -5656, -8215, -12092, -17551, -24856?
-34271
What is next in -35, 391, 1203, 2443, 4153, 6375?
9151
What comes next: -42931, -42890, -42825, -42730, -42599, -42426, -42205, -41930?
-41595
What is next in -663, -193, 547, 1557, 2837, 4387, 6207?
8297
What is next in 7061, 56374, 190137, 450542, 879781, 1520046, 2413529?
3602422
What is next in -5764024, -5764037, -5764060, -5764099, -5764160, -5764249, -5764372, -5764535?
-5764744
What is next in -8254727, -16509455, -24764183, -33018911, -41273639, -49528367?
-57783095
What is next in -144025, -577099, -1299219, -2310379, -3610573?
-5199795
What comes next: -2368030, -2368019, -2368006, -2367991, -2367974?
-2367955
What is next in 63947, 63877, 63761, 63599, 63391, 63137?
62837
What is next in 1098, 1878, 2352, 2520, 2382?
1938
What is the next term in -302113576, -302113577, -302113578, -302113579, -302113580?
-302113581
What is the next term in 2435, 4918, 7447, 10022, 12643, 15310, 18023?
20782
What is the next term in 31191, 32450, 33697, 34926, 36131, 37306, 38445?
39542
What is next in 84, 3735, 13640, 32925, 64716, 112139, 178320, 266385?
379460
What is next in -3487, -7014, -10543, -14080, -17631?
-21202
What is the next term in 3748519, 7497045, 11245571, 14994097, 18742623, 22491149?
26239675
What is next in -31550992, -31551020, -31551048, -31551076?
-31551104
What is next in -7130, -29016, -65500, -116582, -182262?
-262540
What is next in -31765, -63644, -95583, -127612, -159761?
-192060
What is next in -21951, -9211, 3525, 16257?
28985
What is the next term in 199442, 1595699, 5385538, 12765749, 24933122, 43084447, 68416514, 102126113?
145410034
What comes next: 4185, 10210, 20257, 34332, 52441, 74590, 100785, 131032?
165337
What comes next: 175135, 175083, 175017, 174931, 174819, 174675, 174493?
174267
What is the next term in -402, -573, -922, -1497, -2346, -3517, -5058?
-7017
What is the next term in -166, 115, 600, 1283, 2158, 3219, 4460?
5875
What comes next: 19819, 40321, 60823, 81325, 101827?
122329
What is next in -11302191, -22604404, -33906631, -45208866, -56511103, -67813336, -79115559?
-90417766
What is the next term in 5849558, 5849563, 5849570, 5849579?
5849590
What comes next: 2033, 8126, 18287, 32522, 50837, 73238, 99731, 130322?
165017
What is the next term in 950, 3473, 10388, 23915, 46274, 79685?
126368
What is next in -96814, -193695, -290592, -387511, -484458?
-581439
What is the next term in 62333, 62326, 62295, 62228, 62113?
61938
What is next in -755, 61, 1431, 3355?
5833
What is the next term in 1286, 1516, 1842, 2252, 2734, 3276, 3866, 4492?
5142
What is next in 132057795, 132057796, 132057797, 132057798, 132057799, 132057800?
132057801
What is the next term in -279478, -558811, -838144?
-1117477
What is the next term in -339863, -1358541, -3056337, -5433251, -8489283, -12224433?
-16638701
What is the next term in 1612, 12018, 29366, 53656, 84888, 123062, 168178?
220236
What comes next: 12745517, 25491066, 38236615, 50982164?
63727713
What comes next: 1435, 1589, 1837, 2179, 2615, 3145?
3769
What comes next: -711, -1269, -2121, -3189, -4395, -5661?
-6909
What is the next term in 55171, 55630, 56891, 59356, 63427?
69506
What comes next: 1108972, 4435901, 9980782, 17743615?
27724400
What is the next term in -2248, -2040, -1850, -1684, -1548, -1448?
-1390
What is next in 38
|
{
"pile_set_name": "DM Mathematics"
}
|
of 136 and 11.
1496
Calculate the smallest common multiple of 2 and 8.
8
Calculate the smallest common multiple of 170 and 476.
2380
Calculate the least common multiple of 6 and 38.
114
Calculate the least common multiple of 420 and 126.
1260
Find the common denominator of 17/108 and -73/56.
1512
Calculate the common denominator of -61/22 and -23/258.
2838
Calculate the lowest common multiple of 41 and 684.
28044
Calculate the least common multiple of 1270 and 2540.
2540
Calculate the least common multiple of 102 and 10.
510
Calculate the lowest common multiple of 584 and 64.
4672
What is the smallest common multiple of 116 and 10?
580
What is the least common multiple of 66 and 114?
1254
Calculate the common denominator of 97/88 and -1/6.
264
Calculate the smallest common multiple of 292 and 2.
292
Find the common denominator of 3/49 and -23/70.
490
Find the common denominator of 31/18 and -55/2014.
18126
Calculate the lowest common multiple of 40 and 28.
280
Calculate the common denominator of -13/504 and -109/48.
1008
What is the least common multiple of 2348 and 32?
18784
Calculate the common denominator of -67/168 and -61/141.
7896
Calculate the common denominator of -53/7 and -41/4162.
29134
Calculate the common denominator of -41/117 and -17/702.
702
Find the common denominator of 59/4 and 181/30.
60
Calculate the common denominator of -76/945 and 121/36.
3780
What is the common denominator of 1/784 and -49/68?
13328
What is the lowest common multiple of 130 and 156?
780
What is the common denominator of -101/2026 and 61/4?
4052
Find the common denominator of -145/108 and -23/10.
540
What is the least common multiple of 10 and 488?
2440
What is the lowest common multiple of 986 and 696?
11832
Calculate the least common multiple of 88 and 8.
88
What is the common denominator of -83/68 and -8/17?
68
Calculate the common denominator of -137/162 and 59/594.
1782
Calculate the common denominator of 81/10 and -57/568.
2840
Find the common denominator of 43/45 and -23/18.
90
Calculate the smallest common multiple of 36 and 132.
396
What is the least common multiple of 124 and 108?
3348
Calculate the common denominator of 33/35 and 74/6265.
6265
Find the common denominator of 36/3845 and -106/105.
80745
Calculate the smallest common multiple of 8 and 2326.
9304
What is the lowest common multiple of 10 and 684?
3420
What is the least common multiple of 2015 and 50?
20150
What is the least common multiple of 5 and 25?
25
Calculate the smallest common multiple of 11817 and 808.
94536
Calculate the common denominator of -103/144 and -73/96.
288
Calculate the smallest common multiple of 299 and 4324.
56212
Calculate the least common multiple of 64 and 128.
128
What is the least common multiple of 1547 and 1547?
1547
What is the common denominator of 115/594 and -43/198?
594
What is the common denominator of 107/240 and -173/120?
240
What is the least common multiple of 24 and 14?
168
What is the common denominator of 89/996 and 35/156?
12948
What is the least common multiple of 16 and 82?
656
Calculate the lowest common multiple of 360 and 240.
720
What is the smallest common multiple of 379 and 1?
379
Find the common denominator of -67/549 and -19/3.
549
What is the least common multiple of 6 and 78?
78
Calculate the common denominator of -163/30 and -46/10407.
104070
Calculate the smallest common multiple of 52 and 12.
156
What is the least common multiple of 4158 and 2268?
24948
Calculate the smallest common multiple of 56 and 48.
336
Calculate the smallest common multiple of 945 and 35.
945
Calculate the smallest common multiple of 2980 and 1788.
8940
What is the lowest common multiple of 56 and 91?
728
What is the common denominator of 115/16366 and 61/16?
130928
Calculate the common denominator of -59/3605 and -11/1545.
10815
What is the least common multiple of 8 and 8412?
16824
Calculate the smallest common multiple of 32 and 12.
96
What is the common denominator of 11/93 and -18/217?
651
Calculate the common denominator of 31/40 and -19/90.
360
What is the common denominator of 85/224 and 25/112?
224
What is the common denominator of -13/30 and -31/282?
1410
What is the common denominator of -70/57 and -35/38?
114
What is the common denominator of -40/177 and 119/36?
2124
What is the smallest common multiple of 1859 and 154?
26026
What is the least common multiple of 1395 and 7?
9765
Calculate the common denominator of -97/140 and 71/70.
140
Calculate the lowest common multiple of 24 and 436.
2616
What is the smallest common multiple of 33 and 8418?
92598
Find the common denominator of -48/395 and -61/35.
2765
What is the common denominator of 23/4 and -10/3551?
14204
Calculate the common denominator of 67/6772 and -77/2.
6772
Calculate the least common multiple of 2 and 14.
14
Calculate the smallest common multiple of 3072 and 448.
21504
Calculate the lowest common multiple of 100 and 530.
5300
Calculate the least common multiple of 1425 and 133.
9975
What is the smallest common multiple of 39 and 78?
78
What is the common denominator of 85/166 and 13/7?
1162
What is the smallest common multiple of 110 and 4?
220
Calculate the smallest common multiple of 14 and 35.
70
What is the lowest common multiple of 650 and 104?
2600
Calculate the common denominator of 7/6 and 7/194.
582
Calculate the common denominator of 113/8344 and -27/10.
41720
Calculate the common denominator of 37/60 and -71/420.
420
What is the least common multiple of 18 and 10218?
30654
What is the smallest common multiple of 33 and 447?
4917
Calculate the lowest common multiple of 116 and 116.
116
What is the smallest common multiple of 6 and 14?
42
What is the smallest common multiple of 213 and 18?
1278
What is the lowest common multiple of 1221 and 22?
2442
What is the smallest common multiple of 1068 and 1157?
13884
Calculate the smallest common multiple of 44 and 44.
44
Find the common denominator of 145/126 and -61/42.
126
What is the common denominator of -27/2497 and -5/2043?
22473
Calculate the smallest common multiple of 1 and 589.
589
What is the smallest common multiple of 1160 and 1860?
107880
Find the common denominator of 13/45 and 26/1167.
17505
Calculate the least common multiple of 35 and 405.
2835
Calculate the smallest common multiple of 232 and 32.
928
What is the smallest common multiple of 6454 and 10?
32270
Calculate the common denominator of -71/100 and -119/36.
900
What is the smallest common multiple of 25 and 24?
600
What is the common denominator of 7/2264 and -1/4528?
4528
What is the lowest common multiple of 114 and 2?
114
What is the common denominator of 28 and -45/107?
107
Find the common denominator of -41/579 and 50/579.
579
Calculate the common denominator of -139/162 and 31/8.
648
What is the common denominator of 75/56 and 52/35?
280
Calculate the common denominator of 37/458 and -71/2.
458
Find the common denominator of -64/45 and -5/171.
855
Calculate the lowest common multiple of 292 and 1022.
2044
Calculate the lowest common multiple of 28 and 316.
2212
What is the common denominator of 77/2110 and 117/40?
8440
Find the common denominator of -79/624 and -41/60.
3120
Calculate the lowest common multiple of 274 and 14.
1918
What is the common denominator of -101/24 and -151/186?
744
Calculate the least common multiple of 384 and 1152.
1152
Calculate the least common multiple of 2 and 3.
6
Find the common denominator of -43/154 and 88/63.
1386
Calculate the lowest common multiple of 6 and 1046.
3138
What is the common denominator of -111/644 and -97/2?
644
Find the common denominator of 93/2 and 35/158.
158
What is the common denominator of -23/36 and 173/630?
1260
Calculate the common denominator of 25/2712 and -83/3390.
13560
What is the lowest common multiple of 66 and 198?
198
Calculate the common denominator of 25/27 and -121/120.
1080
Find the common denominator of -49/7010 and 43/12.
42060
Calculate the common denominator of 8/1119 and 50/33.
12309
What is the smallest common multiple of 2 and 264?
264
What is the least common multiple of 2194 and 5?
10970
What is the common denominator of -41/22 and 61/132?
132
Find the common denominator of -181/9690 and 19/45.
29070
Find the common denominator of -59/351 and -71/78.
|
{
"pile_set_name": "DM Mathematics"
}
|
d by n?
21
Let i(x) = 7*x - 3. What is the remainder when 138/(9/6 - (4 + 1)/(-10)) is divided by i(4)?
19
Suppose -3*c = 3*x - 348, 2*c = -2*x + 5*x + 232. Let a(k) = 3*k**2 + 167*k - 36. Calculate the remainder when c is divided by a(-56).
16
Suppose 423 = h - u, 7*h + 5*u - 7*u - 2991 = 0. What is the remainder when h is divided by 60?
9
Let r(q) = -19*q - 32. Let j be ((-6)/4)/(27/72). Calculate the remainder when r(j) is divided by 16.
12
Let l = 8670 + -8000. Calculate the remainder when l is divided by 61.
60
Suppose 3*a + 10 = 5*y - 3*y, -5*y + 2*a = -25. Suppose 0 = q + y, u - 3*u - 18 = 2*q. Calculate the remainder when 63 is divided by u/12 - 43/(-3) - 1.
11
Let m = 737 - 426. What is the remainder when m is divided by (3 - 8/3) + 564/9?
59
Let g(w) = 3*w**2 - 22*w + 35. Let n be g(5). Suppose n = 22*k - 1554 - 3858. What is the remainder when k is divided by 13?
12
Suppose -4*f = -16*f + 24. Suppose f*i + 8*i - 450 = 0. What is the remainder when i is divided by 24?
21
Let d = -115 + 121. Let g be (-5 - (-2 + -1)) + -3. Let a(j) = -j**3 - 4*j**2 - j - 1. Calculate the remainder when a(g) is divided by d.
5
Suppose 0 = -y + 2, -52*d = -48*d - 3*y - 282. Let k = -443 - -799. Calculate the remainder when k is divided by d.
68
Suppose -80*k = -90*k + 3700. Let r = 378 - k. Calculate the remainder when 98 is divided by r.
2
Suppose -4*g = -5*k + 320, 3*g + 192 = 3*k - g. Suppose -354*a + 351*a + r + 113 = 0, -a + 2*r + 31 = 0. Calculate the remainder when k is divided by a.
25
Let i = -9658 + 9678. What is the remainder when 3377 is divided by i?
17
Suppose 0 = -81*q + 76*q - o + 87, 42 = 2*q + 4*o. Suppose 5*a - 749 = -c + 1101, -757 = -2*a + 3*c. Calculate the remainder when a is divided by q.
14
Suppose 32*h = 31*h + c + 32, 0 = 3*h + c - 72. Calculate the remainder when 779 is divided by h.
25
Let z(o) = -16*o**3 - 36*o**2 + 30*o + 300. What is the remainder when z(-8) is divided by 96?
92
Suppose 11*l - 30*l + 57 = 0. Suppose 2*y - 202 = -l*g - 2*y, -3*y = 3*g - 207. Let k = -67 + g. What is the remainder when 7 is divided by k?
0
Let m(q) = 10 - 12*q - 14 + 12 - 37 - 25. Calculate the remainder when 22 is divided by m(-5).
4
Let m = -15 - -11. Let s be 6400/26 - m/(-26). Suppose 0 = 2*o + 5*i - 245, -s = -4*o - 5*i + 239. Calculate the remainder when o is divided by 41.
38
Let o(p) be the first derivative of -p**3/3 + 4*p**2 + 12*p + 136. Calculate the remainder when 63 is divided by o(0).
3
Let x = -3908 - -5580. Calculate the remainder when x is divided by 31.
29
Let f(a) = -68 - 129 + 101 + 36*a - a**2. Let s = 33 + -21. What is the remainder when s is divided by f(33)?
0
Let r(q) be the second derivative of q**5/20 - 7*q**4/12 + 5*q**3/6 - 6*q**2 + 15*q. What is the remainder when 320 is divided by r(7)?
21
Let h be -14 + 17 + (-655 - 2). Calculate the remainder when 73 is divided by h/(-14) - (8/14)/(-2).
26
Let j be 433/15 + (-4 - (-62)/15). Suppose -27*u - 78 = -j*u. What is the remainder when u is divided by 14?
11
Let z be 1*2 + (7 - (17 + -10)). Suppose r - 2*r = -4*m + 282, -4*r = -z*m + 134. What is the remainder when m is divided by 3?
2
Suppose 19 + 15 = l. Suppose 5*g - l = 4*o, -2*g + 17*o + 15 = 14*o. What is the remainder when 44 is divided by g?
2
Let u be (-14)/21*(0 - 6). Suppose 0 = -5*f + 4*z + 188, -106 = -3*f + 3*z - u*z. What is the remainder when 286 is divided by f?
34
Suppose 5*b + 2 + 13 = 0. Calculate the remainder when 5*(198/(-5))/b is divided by 8 - (-382)/14 - (-54)/(-189).
31
Let f = 9573 + -8697. What is the remainder when f is divided by 8?
4
Let r = 0 - -8. Calculate the remainder when 261 - 196/(4 + 10) is divided by r.
7
Let n be -6 - 1305/(2 - 7). Suppose 24*l + n = 29*l + 4*c, 4*c = -l + 51. Calculate the remainder when 191 is divided by l.
38
Let t be 171/(-1)*(-28)/42. Calculate the remainder when 1520/t*(-18)/(-8) is divided by 7.
2
Suppose -2*f = f - 381. Let g(s) = 735*s + 18415. Calculate the remainder when f is divided by g(-25).
7
Let s = 17540 - 16949. Calculate the remainder when s is divided by 13.
6
Suppose 0 = 7*b - 38 - 46. Let n(a) = a**2 - 18*a + 62. Calculate the remainder when n(19) is divided by b.
9
Suppose -8*m - 7*m = 3*m. Let h(k) = k**3 + 8*k**2 - 3*k + 16. Suppose -3*c = -q + 55 + 68, 2*q + 5*c = 191. What is the remainder when q is divided by h(m)?
12
Let o = 146 - 130. Suppose 0 = -a + 2*b + o, -5*a + 7*b = 2*b - 80. What is the remainder when 205 is divided by a?
13
Let o(d) = d**2 + 27*d - 10. Let l be o(-27). What is the remainder when 129 is divided by 16/l*(-4)/16*110?
41
Let r(k) = -3*k - 8. Let c be r(-6). Let f = 5 + c. Calculate the remainder when (-11360)/(-210) - (1892/(-462))/(-43) is divided by f.
9
Suppose 62 - 7 = 5*w. Suppose 223*l = -3515 + 18010. What is the remainder when l is divided by w?
10
Let r(j) = -11*j**2 - 5*j - 2. Let z(u) = 0*u**2 + 8*u + 2*u - 9*u + u**2. Let t(k) = -r(k) - 5*z(k). Calculate the remainder when t(2) is divided by 7.
5
Let x = -20730 - -20914. Calculate the remainder when 212 is divided by x.
28
Let d(g) = 67*g**2 + 637*g + 86. Calculate the remainder when d(-11) is divided by 593.
0
Let w(c) = 23*c + 52 - 28*c - c**3 - 89 + 33*c**2 + 2*c**3 + 2*c**3. What is the remainder when 141 is divided by w(-11)?
15
Let z(a) = 2*a**2 - 12*a + 7. Let d = 192 - 178. Suppose -7*r = -d*r + 791. Calculate the remainder when r is divided by z(8).
35
Let g be 14/(-4)*(-20)/14. Suppose 33 = -g*c - 32. Let b(t) = -t**3 - 13*t**2 + 29. Calculate the remainder when b(c) is divided by 16.
13
Let l = 67 + -68. Let d(g) = 89*g**2 + 4*g + 5. Calculate the remainder when d(l) is divided by 24.
18
What is the remainder when 282 is divided by 8 + (-5 - (-1 + -2)) + 4?
2
Let l = 4161 + -4020. What is the remainder when 843 is divided by l?
138
Let n be (0/3)/((-12)/4). Suppose n = -j + 5*b + 7, -3*j + 3*b - 5*b + 89 = 0. Suppose u - j = -6. Calculate the remainder when 62 is divided by u.
20
Let x = -8 + 12. Suppose x - 44 = -8*j. Suppose 188 = 3*l - j*d, -2*l + 5*d = 3*l - 320. Calculate the remainder when l is divided by 10.
6
Let g(m) = 4*m**2 + 2*m + 27. Let f = -368 + 365. What is the remainder when 134 is divided by g(f)?
20
Let y = -10 + 3. Let t(z) = 5*z**2 - 3*z - 3. Calculate the remainder when t(5) is divided by -55*(y + (5 - -1)).
52
Let k = 57 + 14. Suppose -17*d = -19*d + 4. What is the remainder when k is divided by 5 - d*52/(-8)?
17
Let y(w) = -w**2 + 19*w - 9. Suppose 14 = 3*i - 52. Let j be y(i). What is the remainder when 74 is divided by (j/10)/((-2)/4)?
14
Let u(s) = 23*s + 70. Let w be u(-14). Let z = w - -335. What is the remainder when 159 is divided by z?
76
Let t = 6 + 7. Let x = -28008 - -28081. Calculate the remainder when x is divided by t.
8
Suppose 369*q - 520 = 364*q. Suppose -12*c + q = -4*c. What is the remainder when 896 is divided by c?
12
Suppose w = -2*b + 2121, -3*w - 1 = 14. What is the remainder when b is divided by 175?
13
Calculate the remainder when -2 - (-894)/2 - 0 is divided by (3 + 0 + 11)*6*10/30.
25
Suppose -6*x + 620 = -2*x. Suppose -2*y + 6*y = 0. Suppose 3*a = 2*c - 303, c + 2*a + y*a = x. Calculate the remainder when c is divided by 22.
21
Let t = 54 - -1. What is the remainder when 53*(-12 - (-486)/42)*-7 is divided by t?
49
Let a = -93 - -97. Suppose 0*u + 133 = 3*u - 2*z, -3*u + a*z + 125 = 0. What is the remainder when u is divided by ((-1)/(-2))/(8*6/768)?
7
Let l(j) = 14*j + 10. Let y be l(-3). Let f = 1 - y. Let c(d) = -d**2 + 5*d + 3. What is the remainder when f is divided by c(4)?
5
Let h(r) = r**2 - 13*r - 22. Let b be h(17). Let a be 2 + b - (-1 - -5). Let x = a + -32. What is the remainder when 59 is divided by x?
11
Let z(m) = -m**2 - 15*m + 37. Let r be z(-17). Suppose -7*y + 11*y = t - r, y = t - 6. Calculate the remainder when 230 is divided by t.
6
Let u be -39 + (4 - 2/2). Let j = 38 + u. Suppose 0 = -4*g - 3*n + 309, 3*g + j*n = 7*g - 294. Calculate the remainder when g is divided by 19.
18
Let z = 1762 - 910. Calculate the remainder when z is divided by 95.
92
Let i = 305 + -297. Suppose 3*o = -5*c + 266, -i*o = -9*o + c + 86. Calculate the remainder when 257 is divided by o.
83
Suppose 4*z = 3*j - 208 + 1558, z = 3*j + 324. What is the remainder when z is divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose -5*k + 892 = 3*z, 3*k - d = -z - 155. What is the units digit of k?
9
Suppose 30 = 5*y + 3*r - 1217, -4*y + 997 = 3*r. Suppose 4*f + y = -f. What is the tens digit of f/((-4)/2) - 2?
2
Let i(k) = -k**3 + 4*k**2 - 2*k + 6. Let h be i(4). Let n be -4 - (h - 5)*-1. Let c = n - -23. What is the tens digit of c?
1
Let p = -7 - -13. Let h(n) = n**2 - 6*n + 6. Let t be h(p). Suppose u = 4*u - 4*w - 17, u = w + t. What is the units digit of u?
7
Let j be (-8)/(-20) - 6326/(-10). What is the tens digit of j*(-1)/(-3) + -3?
0
Let s(a) = a - 4 + 0*a - 4*a + a. Let y be s(-4). Let x = 25 + y. What is the tens digit of x?
2
Let i(d) = -d**3 + 9*d**2 + 17*d - 4. What is the tens digit of i(10)?
6
Let p = 110 - -1203. What is the thousands digit of p?
1
Let z(x) be the first derivative of x**4/4 - 16*x**3/3 + 8*x**2 - 6*x + 17. What is the units digit of z(15)?
9
Let l(v) be the second derivative of 29*v**4/6 - v**2/2 - 2*v. Let s(z) = -z**2 + 9*z + 1. Let x be s(9). What is the units digit of l(x)?
7
Let x(i) = 35*i - 414. What is the hundreds digit of x(29)?
6
Let y = 472 + 22. What is the tens digit of y?
9
Suppose -5*u = 4*y - 12213, 3 = -u + 8. What is the thousands digit of y?
3
Suppose -3*f + q = 3*q - 2, f - 3*q + 3 = 0. What is the units digit of ((-3 - -1)*-1 - f)*31?
2
Suppose 4*l = 4, -8*l - 7641 = -4*x - 9*l. What is the units digit of x?
0
Let y(f) = f**2 + 7*f - 18. Let p(z) = z**3 - 4*z**2. Let d be p(3). Let n be y(d). Suppose 3*h + n*j = j + 56, -60 = -4*h + 5*j. What is the tens digit of h?
2
Suppose -2*l = -4*l. Suppose x - 3 - 39 = l. Suppose -24 = -3*s + x. What is the units digit of s?
2
Let j(q) = 3*q**3 - 5*q + 11. Let m(n) = n**3 + n**2 - n. Let l(s) = j(s) - 4*m(s). What is the units digit of l(-5)?
1
Suppose -u = 2*u + 6, -3*r + 4*u = -251. Let n = 129 - r. What is the tens digit of n?
4
Suppose 2*u = -2*u + 12. Let c be (-2)/(-5) - (-2)/(-5) - -28. Suppose c = -u*y + 4*y. What is the tens digit of y?
2
Let c = 3031 - 922. What is the thousands digit of c?
2
Let r be 153/21 + (-10)/35. Suppose 4*t + 333 = r*t. What is the hundreds digit of t?
1
Let z(w) = 119 + 2*w**3 + w**2 - 2*w**2 - 11*w + 13*w. What is the hundreds digit of z(0)?
1
Suppose 5*y - 5355 = -3*c, -1091 - 1082 = -2*y + 5*c. What is the thousands digit of y?
1
Let i = 55 - 51. Let y(m) = 2*m**3 - 4*m**2 + 5*m - 2. What is the units digit of y(i)?
2
Let t(z) = 366*z**2 + 27*z + 2. What is the thousands digit of t(3)?
3
Let u be ((-7)/21)/(1/177). Let y = -6 - u. What is the tens digit of y?
5
Let p(q) = 16*q**2 + 30*q + 26. What is the tens digit of p(-6)?
2
Let i(g) = 11*g**3 - 2*g**2 - 4*g + 4. Suppose 7 = 3*o + 1. What is the units digit of i(o)?
6
Suppose 4*d + 2011 - 6539 = 0. What is the tens digit of d?
3
Suppose 12*u - 14*u = -912. What is the tens digit of u?
5
Let l(w) = -w**2 + 6*w + 11. Let v be l(13). Let g = v - -193. What is the hundreds digit of g?
1
Let i(u) = -u**2 - 13*u + 18. Let v be i(-15). What is the tens digit of ((-6)/v)/((-2)/(-292))?
7
Suppose -10*p + 1076 = -2264. Suppose -2*x + 3*f + p = -f, -3*x + 496 = -f. What is the tens digit of x?
6
Suppose -5*o = -45 + 5. Suppose -2*f - o*f + 450 = 0. What is the units digit of f?
5
Let j = 104 - 45. Suppose -5*y = -3*l + 171, -4*l + 2 = y + 50. Let w = j + y. What is the units digit of w?
3
Let w(f) = f**3 + f**2 + 2*f. Let n = 0 + -2. Let r be w(n). What is the units digit of -1 - (-4 + 3) - r?
8
Let f = 1452 - 886. What is the hundreds digit of f?
5
Suppose 9*i + 30 = 4*i. Let m = -3 - i. Suppose -m*w + 36 + 6 = 0. What is the tens digit of w?
1
Suppose 50 = 11*b - b. Suppose -c = 1 + 3, -f = 3*c + 10. Suppose 0 = -f*t + 5*k + 16, -2*t + b*t + 5*k = -1. What is the units digit of t?
3
Let k be 0 - -1*(-6)/(-2). Let h(p) = 11*p - 4. Let m be h(k). Suppose -5 = 2*n - m. What is the tens digit of n?
1
Let w = 51 + 124. What is the hundreds digit of w?
1
Suppose -13*h - 138 = -4116. What is the hundreds digit of h?
3
Suppose z + 2*z = h + 412, 2*z + 5*h = 252. What is the units digit of z?
6
Let y(g) = g**3 - 6*g**2 + 2. Let z be ((-6)/8)/(1/(-8)). Let a be y(z). Suppose 3*j - 36 = -3*p, -2*j - 36 = -p - a*p. What is the units digit of p?
2
Let n = -424 - -997. What is the tens digit of 3/(-6) - (n/(-6) + -3)?
9
Let i be (-28)/5*(-2635)/34. Suppose 9*m - 2414 = -i. What is the tens digit of m?
2
Let q = 33 + 7. What is the tens digit of (-100)/(-2)*-1*q/(-25)?
8
Let i(j) = 118*j - 310. What is the hundreds digit of i(6)?
3
Suppose 3*m = 3*k + 2054 + 172, 6*m + 5*k = 4419. What is the tens digit of m?
3
Suppose 5*v + 4*d = -0*v + 387, -3*d = 6. Let w = -49 + v. What is the tens digit of w?
3
Let a be ((-12)/(-5))/((-18)/(-2340)). Let l = a - 208. What is the units digit of l?
4
Let d = -11 - -19. Let z be d/12*9/2. Suppose -h - z*h = -84. What is the tens digit of h?
2
Suppose -1 = -m + w - 14, 3*w - 3 = -m. Let y = -1 - m. Suppose -104 = -12*g + y*g. What is the units digit of g?
6
Let y(g) = -4*g + 12. Let w be 3/1*(-28)/(-6). Suppose -4*r + 2*r - 18 = 4*o, -4*r + w = -2*o. What is the tens digit of y(o)?
3
Let j = 269 - 139. What is the tens digit of j?
3
What is the units digit of 700*((-7)/4 + 4)?
5
Suppose 2*y - 3593 = -195. What is the tens digit of y?
9
What is the tens digit of 1/((6/(-13374))/(2/(-6)))?
4
Let t(k) = 231*k - 5. Let q be t(1). What is the units digit of (-7)/((-28)/(-16)) - (-3 - q)?
5
Suppose 2*k - 3*h - 207 - 2546 = 0, 5*h + 4129 = 3*k. What is the hundreds digit of k?
3
Let p = 25 - 69. What is the tens digit of (-4741)/p - (-2)/8?
0
Suppose 0 = -d + 50 - 46. Suppose -2*k - d*g = -72, -g + 86 = 3*k - 12. What is the units digit of k?
2
Let y(f) = -f**2 - 7*f - 2. Let p be y(-5). Let c be -8 + p - (-2 + -28). What is the units digit of ((-1)/3)/((-2)/c)?
5
Let h(i) = 5*i - 5. Let b(m) = -9*m + 10. Let f(l) = -6*b(l) - 11*h(l). Let v be f(-7). What is the tens digit of v/1*(0 + 6)?
1
Let k(z) be the first derivative of z**3/3 - 6*z**2 + 7*z - 5. Let p be k(16). Suppose 0 = 2*d - 5*o - p, 2*d - 28 = d + 4*o. What is the tens digit of d?
4
Suppose 0 = 2*b + 2*a - 57 - 153, b - 5*a - 99 = 0. Let o = 0 + b. What is the units digit of o?
4
Let g be (0 + 2/4)*4. Let j(u) = 2 + 5*u - 2*u**2 - 2*u**2 - g*u + 5*u**2. What is the tens digit of j(4)?
3
Suppose -59*q + 39297 = -16399. What is the hundreds digit of q?
9
Suppose 5*l - 5*u + 100 = 0, 5*l = 4*u - 24 - 75. Let y = -15 - l. Suppose 3*t + y*g = 14 + 9, 9 = -t + 2*g. What is the units digit of t?
1
Let a = 514 + -206. Suppose 2*j - 2*c - a = 0, 0 = -4*j - 5*c - 0*c + 580. What is the hundreds digit of j?
1
Suppose -3 = 20*l - 3. Suppose 30*s - 27*s - 165 = l. What is the tens digit of s?
5
Suppose 19*f - 187 = 7109. What is the hundreds digit of f?
3
Let q = -3 + 6. Let a be (1 + 1/3)*471/314. Suppose n - 3*h = 29, a*h + 51 = 2*n + q*h. What is the units digit of n?
6
Let d be (-9)/(-3) + (-46)/2. Let a = d + 56. Suppose 0*i = -i + a. What is the tens digit of i?
3
Suppose 0*f - 18 = 2*n - 2*f, 5*n - 3*f + 37 = 0. What is the units digit of -86*(n/10 + -1)?
9
Let h be 2/((-10)/(-6) - 1). Let c be 8/h - (-14)/(-21). Suppose -6*d - c*q = -3*d - 42, -4*q = -2*d + 44. What is the tens digit of d?
1
What is the tens digit of -4 + 9 - (-1533 + 17)?
2
Let d = -630 - -972. What is the hundreds digit of d?
3
Suppose x - 8 + 5 = 0. Suppose 0 = x*b + 221 - 725. What is the tens digit of b?
6
Let f(j) = -j**2 + 12*j + 7. Let o be f(13). Let i(h) = -2*h - 12. Let d be i(o). Suppose 2*a - 6*a + 92 = d. What is the units digit of a?
3
Let v(f) = -15*f + 3*f - 8*f + 1. What is the units digit of v(-4)?
1
Suppose -x = -5*u - 480, -2638 = -4*x + u - 756. What is the tens digit of x?
7
Suppose 8*m - 16*m + 3672 = 0. What is the tens digit of m?
5
Let d(y) = 5*y - 4. Let h be d(-6). Suppose 245 = 2*q + 3*q. Let x = h + q. What is the tens digit of x?
1
Let z(g) = 7*g**3 - 13*g**2 + 8*g - 6. Let k(p) = -p**3 + p**2 - 1. Let r(f) = 6*k(f) + z(f). Let u be r(6). What is the tens digit of (u - -18)*48/18?
4
What is the units digit of ((-132)/7)/((-8)/280)?
0
Suppose 1317 + 135 = 3*r. What is the hundreds digit of r?
4
Suppose -25*c + 23*c = 0. Suppose c*a + 117 = 3*a. What is the units digit of a?
9
Suppose 6 = 10*d - 13*d. Let x(y) = 38*y*
|
{
"pile_set_name": "DM Mathematics"
}
|
icked without replacement from {k: 1, y: 4, t: 5, h: 5}. What is prob of sequence yhyt?
5/546
Calculate prob of sequence fzj when three letters picked without replacement from {v: 3, f: 9, j: 1, z: 1}.
3/728
Four letters picked without replacement from {v: 5, q: 3, m: 4, o: 4}. What is prob of sequence qvvo?
1/182
Calculate prob of sequence dpdp when four letters picked without replacement from pddpdddpdd.
1/20
What is prob of sequence la when two letters picked without replacement from alaaaaaalaaaa?
11/78
Two letters picked without replacement from ddddiididd. Give prob of sequence dd.
7/15
Two letters picked without replacement from vvt. What is prob of sequence tv?
1/3
Two letters picked without replacement from {w: 4, u: 1, i: 2}. What is prob of sequence uu?
0
Two letters picked without replacement from ssffsfsfgssfgsf. What is prob of sequence sg?
1/15
Four letters picked without replacement from obboobo. What is prob of sequence ooob?
3/35
What is prob of sequence bp when two letters picked without replacement from bfpfm?
1/20
What is prob of sequence aad when three letters picked without replacement from qdcadqacqqqqdrca?
3/560
Two letters picked without replacement from ebeeebeeeeeeehbbheb. Give prob of sequence hh.
1/171
What is prob of sequence sz when two letters picked without replacement from {k: 2, x: 2, z: 1, s: 6}?
3/55
Calculate prob of sequence kk when two letters picked without replacement from {i: 3, b: 1, q: 3, k: 5}.
5/33
What is prob of sequence jj when two letters picked without replacement from {x: 1, j: 3, s: 6, e: 7}?
3/136
Two letters picked without replacement from etstvdeetms. What is prob of sequence td?
3/110
Three letters picked without replacement from xyyyxxxx. What is prob of sequence xxx?
5/28
Two letters picked without replacement from hhocjo. Give prob of sequence hh.
1/15
Calculate prob of sequence wf when two letters picked without replacement from fkpwm.
1/20
Four letters picked without replacement from thftkxkxkhhkkxhktk. Give prob of sequence khtf.
7/6120
Two letters picked without replacement from {g: 1, f: 1, l: 3, s: 2, k: 1, b: 3}. Give prob of sequence bs.
3/55
Calculate prob of sequence eeee when four letters picked without replacement from edede.
0
Four letters picked without replacement from ycaaeyceayyaaaaayay. What is prob of sequence yyec?
5/3876
What is prob of sequence mf when two letters picked without replacement from ddfdddmfm?
1/18
Two letters picked without replacement from {o: 2, g: 4, s: 7, p: 1, j: 2, q: 1}. Give prob of sequence js.
7/136
What is prob of sequence oj when two letters picked without replacement from ajxjoaaxoasaasxasos?
1/57
What is prob of sequence li when two letters picked without replacement from iicccciolccolclcclco?
3/95
What is prob of sequence wfpb when four letters picked without replacement from {l: 2, f: 1, b: 2, w: 1, o: 1, p: 1}?
1/840
Three letters picked without replacement from {i: 3, f: 4, g: 3, y: 4}. Give prob of sequence yig.
3/182
What is prob of sequence qtl when three letters picked without replacement from {z: 9, i: 1, t: 5, l: 1, q: 1}?
1/816
Four letters picked without replacement from {y: 6, x: 1, z: 2, h: 3, l: 2, k: 1}. Give prob of sequence kyll.
1/2730
Three letters picked without replacement from dbd. Give prob of sequence dbd.
1/3
Four letters picked without replacement from gvcgcllcvcglcgggggg. Give prob of sequence clvg.
15/5168
What is prob of sequence st when two letters picked without replacement from csycyyvccsctcs?
3/182
Calculate prob of sequence bf when two letters picked without replacement from ftfbtbbbxff.
8/55
Two letters picked without replacement from {i: 4, l: 2, n: 1, t: 5, f: 4}. Give prob of sequence ft.
1/12
Calculate prob of sequence hl when two letters picked without replacement from {i: 3, l: 4, q: 2, h: 2, n: 2, c: 1}.
4/91
Two letters picked without replacement from {d: 3, t: 4, w: 2, p: 1, q: 1}. Give prob of sequence wp.
1/55
What is prob of sequence joj when three letters picked without replacement from ujoouuuoj?
1/84
Two letters picked without replacement from llllzzlllllz. What is prob of sequence zz?
1/22
What is prob of sequence cbb when three letters picked without replacement from {c: 4, b: 10, j: 1, w: 2}?
3/34
Two letters picked without replacement from {c: 3, v: 2}. Give prob of sequence vc.
3/10
Calculate prob of sequence drrl when four letters picked without replacement from {l: 2, d: 1, r: 7}.
1/60
What is prob of sequence ejj when three letters picked without replacement from zeeajjeeqqjooj?
2/91
Three letters picked without replacement from jjfffjfffj. What is prob of sequence ffj?
1/6
What is prob of sequence lv when two letters picked without replacement from {s: 1, d: 6, j: 1, v: 1, l: 4}?
1/39
Calculate prob of sequence iiaa when four letters picked without replacement from iiaaiaa.
3/35
Two letters picked without replacement from {i: 13, x: 3}. Give prob of sequence xi.
13/80
Three letters picked without replacement from mrmrrmmfmrmf. Give prob of sequence rrr.
1/55
What is prob of sequence mg when two letters picked without replacement from ypmbbbmdmgyp?
1/44
Calculate prob of sequence fyy when three letters picked without replacement from {f: 5, c: 2, u: 5, y: 5}.
5/204
Three letters picked without replacement from {l: 8, k: 4, r: 4}. What is prob of sequence krk?
1/70
Two letters picked without replacement from {c: 1, o: 1, m: 1, h: 1, u: 1}. What is prob of sequence uo?
1/20
What is prob of sequence bz when two letters picked without replacement from {f: 4, q: 4, z: 2, b: 2, a: 2, l: 1}?
2/105
What is prob of sequence usi when three letters picked without replacement from {s: 2, u: 2, v: 5, c: 1, i: 5, w: 2}?
1/204
What is prob of sequence pi when two letters picked without replacement from pippppiipi?
4/15
Four letters picked without replacement from {j: 3, k: 7, e: 3}. Give prob of sequence eeej.
3/2860
Two letters picked without replacement from fefffe. Give prob of sequence ee.
1/15
Four letters picked without replacement from hebabe. What is prob of sequence ebea?
1/90
What is prob of sequence zx when two letters picked without replacement from {i: 3, x: 1, z: 1, b: 2}?
1/42
Calculate prob of sequence kzt when three letters picked without replacement from qztuzktzz.
1/63
Calculate prob of sequence jjjj when four letters picked without replacement from {j: 7}.
1
Two letters picked without replacement from {w: 5, y: 4, v: 5, q: 1}. What is prob of sequence yy?
2/35
Four letters picked without replacement from {p: 3, h: 17}. Give prob of sequence phhp.
4/285
Three letters picked without replacement from {x: 4}. What is prob of sequence xxx?
1
Two letters picked without replacement from vutlwwvt. What is prob of sequence lv?
1/28
Four letters picked without replacement from ottjjoqk. Give prob of sequence ttqo.
1/420
Two letters picked without replacement from eniihlzh. Give prob of sequence in.
1/28
Two letters picked without replacement from vvcpsvvc. What is prob of sequence cc?
1/28
Three letters picked without replacement from {r: 2, d: 2, w: 2, p: 1, g: 1, h: 1}. Give prob of sequence hwp.
1/252
What is prob of sequence fee when three letters picked without replacement from {f: 1, z: 4, u: 1, e: 2, p: 2}?
1/360
Calculate prob of sequence ht when two letters picked without replacement from {x: 2, t: 1, k: 1, h: 1, s: 1, c: 2}.
1/56
Calculate prob of sequence hhfc when four letters picked without replacement from {h: 6, c: 4, f: 1}.
1/66
Four letters picked without replacement from {v: 1, i: 2, b: 14}. Give prob of sequence ibbv.
13/2040
Calculate prob of sequence yt when two letters picked without replacement from {y: 2, i: 1, t: 4}.
4/21
Three letters picked without replacement from xxxbxbbbbxxxx. What is prob of sequence bbx?
40/429
Two letters picked without replacement from {n: 1, r: 1, m: 1, h: 1, b: 1, o: 2}. Give prob of sequence mn.
1/42
Two letters picked without replacement from {c: 1, h: 2}. Give prob of sequence hh.
1/3
What is prob of sequence glgl when four letters picked without replacement from llllgllllllllgllgl?
7/408
Four letters picked without replacement from {c: 1, w: 11, s: 2}. Give prob of sequence wwss.
5/546
Calculate prob of sequence bdn whe
|
{
"pile_set_name": "DM Mathematics"
}
|
5 = 0. Suppose r*h + 9 = -4*g + 234, -375 = -5*h - 2*g. Let j = h - 40. What is the units digit of j?
5
Let x = 27960 + -17441. What is the units digit of x?
9
Let x(q) = 103*q**2. Suppose 3*o + 5*f - 9 = 6*f, 3*o - 5*f + 3 = 0. What is the tens digit of x(o)?
4
Suppose 4*b = j + 163168, j + 16 - 12 = 0. What is the units digit of b?
1
Suppose -8*g - 89 = 47. Let j be g + 15 - (19 - 0). What is the hundreds digit of 3 - 4590/j - 9/(-21)?
2
Suppose 32*m = 35*m - 9, 3*u + 4*m = 8490. What is the thousands digit of u?
2
What is the thousands digit of 3 + -1 + (5705 + -6)/1?
5
Suppose 18 = 3*g - 21. Suppose -2*y + 84 = 2*z, -g + 91 = 2*z - 4*y. Let v = z - 17. What is the units digit of v?
4
Suppose -15*r - 105695 = -19*r - 3*t, 3*t = 3. What is the tens digit of r?
2
Let x(r) = -151*r - 4. Let g be x(-9). Suppose l - g = 6*l. Let q = -183 - l. What is the units digit of q?
8
Let c(m) = -3*m + 6. Let g be c(2). Suppose g = -3*o - 4 + 4. Suppose -d - 4*u + 2*u = -14, -5*u = o. What is the tens digit of d?
1
What is the hundreds digit of -9 - (-51956 + 5*24/(-10))?
9
Let n = -1411 + 2408. What is the tens digit of n?
9
Let o = -26 - -24. Let r be (-6)/o + (11 - -4) + 6. Suppose -5*u = t - 430, -469 + r = -5*u + 2*t. What is the tens digit of u?
8
Let i = -127 - -131. Let p(k) = 47*k + 16. What is the hundreds digit of p(i)?
2
Let i(p) = -7*p - 288. What is the hundreds digit of i(-71)?
2
Suppose -3364*p + 3362*p - 3750 = -k, p + 7521 = 2*k. What is the thousands digit of k?
3
Let b = -1672 + 4365. What is the units digit of b?
3
What is the units digit of (-2606)/(-10) - (-78)/195?
1
Suppose 171 = -10*n - 9. Let y = -25 - n. Let i(u) = -14*u - 18. What is the tens digit of i(y)?
8
Suppose 0 = 334*q - 355*q + 297192. What is the units digit of q?
2
Let h(b) = -b**2 + 25*b - 15. Suppose -3*t + 6*t - 9 = 0. Suppose -56 = -t*d - 2. What is the units digit of h(d)?
1
What is the thousands digit of ((-123)/(-861))/(1/20783)?
2
Suppose f - 34 = -4*i, -3*f - 4 = -5*i - 21. Let j(k) = -k**2 + 21*k - 33. What is the tens digit of j(f)?
6
Let o(w) = -53*w**2 - 29*w - 28. Let l(j) = -27*j**2 - 13*j - 15. Let g(b) = -7*l(b) + 3*o(b). What is the tens digit of g(4)?
1
Let b = -103 - -103. Suppose 4*w - w = p + 4, -3*p - w + 8 = b. What is the units digit of 1 + 84 - (1 + p)?
2
Suppose 14943 = 4*c + m - 21716, -2*c - m = -18327. What is the thousands digit of c?
9
Suppose 5*b - 349 = -2*w, 3*w + 13*b - 506 = 9*b. What is the units digit of w?
2
Suppose 0 = -s - v + 5, -5*s - 2*v + 18 = 2. Suppose s*h + 4100 = 12*h. What is the tens digit of h?
1
Suppose -2*i = -5*u - 943, -4*u - 1151 - 741 = -4*i. Let b = -30 + i. What is the tens digit of b?
4
Suppose -f + 4*f = 12. Let u be (-777)/(-84) - 1/f. Suppose -4*g + 231 = 3*i, u*i + 2*g - 399 = 4*i. What is the tens digit of i?
8
Let d = -81 + 38. Let h = 70 + d. What is the tens digit of h?
2
Let y = 11739 - -14247. What is the tens digit of y?
8
Suppose 2*m = 9*m - 2338. Let x = -69 + m. What is the hundreds digit of x?
2
Suppose 1262*l = 1310*l - 566910 - 469746. What is the hundreds digit of l?
5
Let l be ((-15968)/(-128))/((-2)/8). Let o = -289 - l. What is the tens digit of o?
1
Suppose -a - 15667 = -3*p, 0 = -4*p + 4*a + 18292 + 2592. What is the thousands digit of p?
5
Let b(c) = 56*c**2 - 11*c + 9. Let x be b(1). Suppose x = g - 295. What is the hundreds digit of g?
3
Let y(h) be the third derivative of 0 + 1/6*h**5 - 7/8*h**4 + 6*h**2 - 1/2*h**3 + 0*h + 1/120*h**6. What is the hundreds digit of y(-10)?
2
Suppose 132*m - 309744 = -12*m. What is the hundreds digit of m?
1
What is the tens digit of 8 + 0 + 7989 + 7?
0
Let y be (-20)/(-25) + 62/10. What is the tens digit of ((y + -594)*-1)/1?
8
Let x = 572 + -572. Suppose 5*p + 3*q - 5070 = x, -3*p - q = -4*p + 1022. What is the units digit of p?
7
Let g(d) = 23*d**2 + 7*d - 3. Let q be g(-8). Suppose -17*b = -q + 87. What is the tens digit of b?
7
Suppose j = -4*j + 140. Let r = j - 28. Suppose y = 4*o - r*y - 25, -2*o = 2*y. What is the units digit of o?
5
Suppose -2*z + 5 = 3*w, -3*z - 10 = -2*w + 3*w. Suppose -2*r + w*r + 186 = 0. Let j = 128 + r. What is the units digit of j?
6
What is the hundreds digit of 1 + 0 + 49/(-7) - -964?
9
What is the units digit of (6232/(-12))/((-18)/27)?
9
Suppose -3*b - 1076 = -b. Let t = b - -1296. What is the hundreds digit of t?
7
Let d = 98 + -76. Let l(z) = 9 - 6 + d*z + 13 + 15. What is the units digit of l(8)?
7
Let x be (30/20)/(3/28). What is the units digit of (39/(-9))/(x/(-1218))?
7
Let w(o) = 74776*o**2 - 44*o + 39. What is the units digit of w(1)?
1
Let h = 37819 + -15179. Suppose h = -127*n + 147*n. What is the hundreds digit of n?
1
Suppose 2*m - c = 19 + 38, -4*m - 3*c + 129 = 0. Suppose -31*k + 280 = -m*k. What is the units digit of k?
0
Let r be ((-4)/(-6))/(2 + (-16)/9). Suppose 0 = -4*h + 17 + r, 3*z - 200 = 2*h. What is the tens digit of z?
7
Let b be 3/(4/(24836/(-21))). Let v = -562 - b. What is the units digit of v?
5
Suppose 3*q = -n - 4*n + 52, 2*q + 24 = 4*n. Suppose 25 = 3*l - n*l, -l + 547 = -2*g. Let w = 457 + g. What is the units digit of w?
1
Let j be 3/4 - (221/(-4) - 6). Suppose j = 4*q + 2*c, 3*c = 5*q + 2*c - 88. Suppose -13*h + q*h = 16. What is the units digit of h?
4
Suppose 2*r + a = 14287, 5*r + 14*a - 11*a - 35715 = 0. What is the hundreds digit of r?
1
Let g be (3/((-6)/8) + -4)*1. What is the units digit of (-13)/(52/g) - -94?
6
Let b(g) = 52*g - 360. Let f be b(7). Suppose -t = -2*t - j + 1076, f*j = -3*t + 3227. What is the thousands digit of t?
1
Let s be ((-8)/(-14) - 204/210)*-10. Suppose -y = -t - 392, s*t = -5*y + 6*y - 380. What is the tens digit of y?
9
Suppose 1 = -q + i - 2, 21 = q + 5*i. Let x be (q/(6/16))/(6/9). Let a = 21 + x. What is the tens digit of a?
2
Let m(s) = s**2 + 2*s - 20. Let c be m(-6). Suppose c*t + 5166 = 18*t. What is the units digit of t?
9
Let i be (1 - (3 - 0)) + 6. Suppose -i*h = 14*h - 378. What is the tens digit of h?
2
Let w(k) = -79*k + 10. Let n(m) = m**3 - 8*m**2 - 8. Let q be n(8). Let v be w(q). Suppose -5*f = -v - 208. What is the units digit of f?
0
Let f = -2674 - -9693. What is the hundreds digit of f?
0
Suppose 0 = -10*x + 46085 + 228475. What is the thousands digit of x?
7
Let n = -1066 + 413. Let r = n - -1898. What is the hundreds digit of r?
2
Suppose -4*i = -14746 - 15570. What is the units digit of i?
9
Suppose 0 = -363*s + 378*s - 295635. What is the hundreds digit of s?
7
Suppose -4*r = 2*p + r + 13, -4*p + 34 = -2*r. Suppose 0 = p*f - 7 - 5. Suppose -2*s + 204 = f*c - 0*c, -4*s + 399 = -5*c. What is the hundreds digit of s?
1
What is the thousands digit of (18101 - (-2 - -1 - -2)) + -299 + 295?
8
Suppose -2*h - 5*z = h - 10764, -5*z - 14317 = -4*h. What is the hundreds digit of h?
5
Suppose 53*l = 33*l - 216*l + 3844440. What is the hundreds digit of l?
2
Let n(h) = -h**3 + 5*h**2 - h - 6. Let j(l) = -l**3 + 10*l**2 + 11*l + 4. Let k be j(11). Let y be n(k). Let u = y + 10. What is the units digit of u?
6
Let h(d) = 6*d**3 - d**2 + 3*d + 2. Suppose -c + 10 = -2*p - 0*c, -5*p + 2*c - 23 = 0. Let z be (p/(-9))/(3/27). What is the hundreds digit of h(z)?
1
Suppose -2*l = 0, 5*l - 7704 - 9177 = -2*h + 3059. What is the hundreds digit of h?
9
Suppose -65*r + 0*r = 61*r - 958986. What is the hundreds digit of r?
6
Let r = -165 + 167. Suppose -5*z = -5*y - r*z + 1683, -2 = 2*z. What is the units digit of y?
6
Let a be 248/93 - (1 + (-8)/6). Suppose 0 = 4*w + 4, -2*b + a*b = -2*w. What is the units digit of b/(-5)*(-1)/(2/640)?
8
Let p(z) = -1096*z + 526. What is the thousands digit of p(-2)?
2
Let v = 6271 - -2821. What is the hundreds digit of v?
0
Suppose 8*u + l - 437 = 3*u, u = 3*l + 81. Suppose -2*c + 14 = a - 24, -4*a + 5*c + u = 0. What is the units digit of a?
8
Let t = 95262 + -67274. What is the units digit of t?
8
Let t(v) be the second derivative of v**4/12 + 7*v**3/6 - 7*v**2/2 + 11*v. Let j be t(-9). Suppose 15*l - 288 = j*l. What is the units digit of l?
2
Suppose 3*o + 485 = -5*c, 732 = -5*o + 4*c - 64. Let i be (o/6)/(22/(-132)). Let r = i - 58. What is the hundreds digit of r?
1
Let k(u) = -u**2 + 1. Let f(v) = 4*v**3 - 2*v**2 - 9*v + 3. Let p(s) = -f(s) + 3*k(s). What is the hundreds digit of p(-4)?
2
Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
0*m - 3*m - 5 = 0, -5*m + 4 = 4*d. Which is the closest to 0.14? (a) -2 (b) d (c) n
b
Let f = 3.179 + -0.079. Let g = f + -6.1. Which is the nearest to -2? (a) -1/4 (b) g (c) 0.07
b
Let a = -7 + -2. Let w = -9.4 - a. Let v = 232 - 224. What is the nearest to -2/7 in v, w, -0.2?
-0.2
Let y = -29/2 + 15. Let t = 0 - 0.4. Let m = -329 + 326. Which is the closest to 1/3? (a) t (b) y (c) m
b
Let s = -783.055 + 786. Let j = s - -0.055. What is the nearest to -9 in 1/4, 0, j?
0
Let d = 176 - 175.6. What is the closest to 2/9 in 0.5, d, 7?
d
Let g be ((-3)/((-9)/6))/6. Let k = 19.6 - 20.3. Which is the nearest to k? (a) 2/7 (b) -2/7 (c) g
b
Let g = -9 - -12. Let f be ((-4)/44*-4)/2. Let i = -0.68 + -1.32. Which is the closest to 0? (a) g (b) f (c) i
b
Let p = -0.83 - -0.8. Let j = 0.216 - -0.814. Let d = p + j. Which is the nearest to 0? (a) 5/4 (b) 3 (c) d
c
Let g be (-2)/(2/(-5) - 0). Let t be (-38)/(-14) - ((-4 - 1) + 99/21). Let h = -3/5 - -14/15. What is the nearest to 0.1 in g, t, h?
h
Let j be (-7 - (-99)/18)/(5 - -1). Which is the nearest to 0.2? (a) 0.2 (b) -0.5 (c) 0.3 (d) j
a
Let f = 27.8 - 27.6. What is the closest to -3 in 2, -5, -0.04, f?
-5
Let m be 2/11 + (-2045)/55. Let f = m + 113/3. Which is the closest to f? (a) 3 (b) -1/3 (c) 5
b
Let g = -716 - -715. Which is the nearest to g? (a) -3 (b) -0.5 (c) 0.9 (d) 6
b
Let s = -1.11 + 4.11. Which is the closest to 3? (a) -0.2 (b) s (c) -4/5
b
Let q = 0.25 - -0.05. Let i = 16 - 17.4. Let t = i + 0.4. Which is the nearest to t? (a) q (b) 1/4 (c) -4
b
Let l be 2/16*6 + 979/12. Let p = l + -83. Which is the closest to -3? (a) 0.1 (b) p (c) -1/9
b
Suppose 108 = -h - 35*h. Let j = -88/123 + 2/41. Which is the nearest to j? (a) h (b) -4 (c) -5
a
Let l be (308/104 - (0 + 3))*4. What is the closest to 2/53 in 1/2, 4, l?
l
Let q = -62 + 64. Let k = 116/265 + -2/53. Let l(d) = -d**2 - 12*d + 9. Let m be l(-13). Which is the closest to k? (a) -1 (b) q (c) m
a
Let x = -2.77 + -0.13. Let t = -4.9 - x. Let q = -2/3 - -1/3. Which is the closest to 2/7? (a) t (b) 0.3 (c) q
b
Let p be (-4)/(7 + 1) + 1/(-10). Which is the closest to -7/8? (a) -0.2 (b) p (c) -1/8
b
Let r = 18.741 + -18.741. Let g = 450.07 - 463. Let k = 13 + g. Which is the nearest to r? (a) -1/5 (b) -4 (c) k
c
Let o = -3 + 4. Let c(t) = -t**3 + 30*t**2 - 55*t - 28. Let g be c(28). What is the nearest to o in 0.3, -2, g?
0.3
Let m = 14 + -34.5. Let x = 49 - 70. Let c = x - m. What is the nearest to 1/2 in 1, 1/3, c?
1/3
Suppose 971 = -19*g + 952. Which is the nearest to -3/2? (a) 7 (b) g (c) -0.3 (d) 5
b
Let b = -4 - -3.6. Let a = -1 + -1. Let l = -15 + 14.7. What is the closest to b in 1/9, a, l?
l
Let h = 2.5 + -2.6. What is the nearest to h in 2, -4.1, -3?
2
Let n = 6.7 - 7.1. Let f = -3 - -2. Which is the nearest to f? (a) n (b) -2 (c) -5
a
Let u = -0.1 - -0.1. Let w be -1 - -5 - (-120)/5. Let o = -24 + w. What is the nearest to u in -5/4, o, -2?
-5/4
Let y = -0.8 - -3.8. Let v = -594 - -6536/11. What is the nearest to -1 in -4, v, y?
v
Let m = -115 + 113. Let i be (9/(-6))/((-9)/12). Which is the nearest to m? (a) 5 (b) 2/11 (c) i
b
Let n = 418.9 + -419. What is the nearest to -1 in 4, n, -3, -2?
n
Let w = -8.8 - -9. Let u = 188 + -188.05. What is the closest to 2/5 in u, 5, w?
w
Let g be (-6)/33 - (-9)/(495/(-265)). What is the nearest to -0.3 in 4, -2, 3, g?
-2
Let p = 2682 - 2677. What is the closest to -0.1 in 0, 1.5, p?
0
Let z = -0.63 + 0.69. Let p(u) = -3*u + 3. Let r(j) = -7*j + 6. Let l(t) = -13*p(t) + 6*r(t). Let d be l(-2). Which is the closest to z? (a) -5 (b) 4 (c) d
c
Suppose -3*g = -0*r + r - 15, -5*g + 29 = 3*r. Let w = -0.91 + 1. Which is the closest to 0? (a) g (b) w (c) 4/3
b
Let j(y) = y**3 + 7*y**2 - y - 6. Let m be j(-7). Let s = -317/3 + 106. What is the closest to -0.1 in 1/6, m, s?
1/6
Let f = 0.4 + -0.2. Let a = 571.1 + -571. What is the closest to 6 in -3/2, a, f?
f
Let f = -97 + 97.068. Let s = 4.932 + f. Let q = 9/17 + -96/85. What is the nearest to 1/2 in -0.1, s, q?
-0.1
Suppose 0 = -3*v - 45 - 81. Let b be (-1 - 0)/(v/24). What is the closest to 2 in b, -0.3, 4?
b
Let k = -11.15 - -12.15. Let p(n) = -n - 1. Let h be -1*1/(-2)*-10. Let v be p(h). What is the nearest to k in v, -3, 3?
3
Let g be (-54)/81 - ((-232)/(-3) - 0). Let b be ((-3)/g)/((-6)/24). Suppose -7*q = -3*q - 12, -w + 5*q = 15. What is the nearest to w in b, 0.1, 2?
0.1
Let g = 34 + 34. Let y = -66 + g. Let c = 0.43 + -0.03. What is the closest to y in 3, c, -0.2?
3
Let u = -260/553 - 8/79. Let j = -1144.5 - -1144. Which is the nearest to 0? (a) j (b) 11 (c) u
a
Let i = 122 - 121.8. Which is the nearest to -8? (a) i (b) -0.1 (c) 1/3
b
Let z = 783/5 - 3127/20. What is the closest to 0 in z, -5, -2/9?
-2/9
Let r = -125 + 130. Let k(u) = 2*u**3 + 2*u**2 - 2. Let q be k(1). Which is the closest to 1? (a) q (b) 0.4 (c) r
b
Let t = 1016 - 1014. Suppose 5*n = -0*n + 15. Let k = -3 - -4. What is the nearest to k in 0.1, n, t?
0.1
Suppose 66 = 9*s - 6. Which is the nearest to 2? (a) 0.02 (b) s (c) 0.2
c
Let z(h) = -h + 1. Let f be z(5). Let c = -0.078 + 0.478. What is the nearest to 4 in f, c, 0?
c
Let z = 195.3 - 200.3. Which is the nearest to z? (a) 0 (b) 4 (c) -5 (d) -0.2
c
Let j = 2.5 + -7.5. Which is the closest to 0.1? (a) -2/9 (b) 1/6 (c) j
b
Let o = 33.1 - 33. What is the closest to -2 in -0.5, -2/5, -2, o?
-2
Let j = -0.262 + -0.738. What is the nearest to j in 2/7, -18, -1/5?
-1/5
Let k = 2498 + -2500. Which is the nearest to 0? (a) 0.04 (b) k (c) 24
a
Let u = -9 - -10. Let q = 58/3 + -19. What is the nearest to u in q, 5, 1/7?
q
Let h be 297/220 + 2/8. Which is the closest to h? (a) 0.4 (b) 0.1 (c) 4
a
Let d be ((13 - 0) + -14)*2/(-10). What is the closest to 0 in -4, -3.4, d, 1?
d
Let j = -51.53 - 0.47. Let u = 38 + j. What is the closest to u in -4, -4/9, -1?
-4
Let q = 14.2 - 11. Let t = q - 3.7. Which is the nearest to 1/4? (a) t (b) 4 (c) -3/5
a
Let f(y) = y + 8. Let u be f(-9). Let w be u/((-12)/(-3) + -3). Which is the nearest to w? (a) 0.4 (b) -3/5 (c) 0.06
b
Let u = -361 - -360.6. Which is the nearest to -12? (a) u (b) 0.2 (c) -2/9
a
Let v = 3051 + -3047. What is the nearest to 10 in v, 0, -2/7, 2/5?
v
Let l = -36033 + 35817.21. Let k = l + 218. Let g = k + -0.21. Which is the closest to 0.1? (a) 3 (b) 1/3 (c) g
b
Let g = 601/3124 + -3/284. What is the nearest to 12 in 2/7, -1, g?
2/7
Let k = -8207/728 + 144/13. Let q = 1/14 + k. Which is the closest to -11? (a) -2/3 (b) q (c) 0
a
Let v = 511/6 + -85. Let x = 36339/14 + -2592. Let p = x + -7/2. What is the closest to 1 in v, p, 6?
v
Let o = -277 - -277. Which is the closest to -1? (a) 1 (b) -11 (c) o
c
Let j(n) = -n**3 + 6*n**2 + 10*n - 11. Let l be j(7). Suppose 15*o = 20*o + l. Which is the nearest to -2/3? (a) -6 (b) -5/4 (c) o
b
Let q = -65/56 - -11/14. Which is the nearest to -1? (a) q (b) 0.3 (c) 2
a
Let l = -0.02 + 0.22. Let t be 5/10*(-6)/(-8). Let f be ((-1)/5)/(((-6)/(-15))/1). Which is the closest to f? (a) l (b) -1/11 (c) t
b
Let q = 47 + -44. Let z = 2.2 + -1.7. Which is the nearest to q? (a) -4 (b) z (c) -5
b
Let q = -26.36 - -21.5. Let k = q - 0.14. What is the nearest to -1 in -0.4, -1/7, k?
-0.4
Let o be 3*(-3)/(-3) + -4. Which is the closest to 0.7? (a) -3 (b) o (c) -0.3
c
Let v = -9 + 8. Let i = 21 - 29. Let y be -2 - 14/i*1. Which is the nearest to y? (a) 2/17 (b) v (c) 0
c
Suppose 0 = 6*u + 34*u + 160. Which is the nearest to -2? (a) 149 (b) 1 (c) 2/7 (d) u
d
Let p be (-24)/(-9) + 2 - (-6)/(-9). What is the nearest to -0.08 in -0.2, 1/4, p?
-0.2
Let o(r) = 3*r + 33. Let n(s) = s + 16. Let z(m) = 5*n(m) - 2*o(m). Let f be z(6). Which is the closest to 1? (a) -5 (b) f (c) 2
c
Let q = 11 - 3. Let n = -11 + q. Let p = -41.77 + 44.77. What is the nearest to 2/15 in 1, n, p?
1
Let k(j) = 44*j - 1579. Let i be k(36). Let y = -14 + 9. Which is the nearest to -0.1? (a) y (b) 2 (c) i
b
Let u = 133.47 - 134. Let n = u + 0.33. Which is the nearest to 0.02? (a) -1 (b) -0.1 (c) n
b
Let q = -1245.1 - -1245.6. Suppose 5*v - v + 20 = 0. What is the closest to -2 in -3/5, q, v?
-3/5
Let a = 0.01 + 0.09. Let t = 1542.9 - 1543. Let s = 3
|
{
"pile_set_name": "DM Mathematics"
}
|
f be -273 + (12/2 - 3). Let n be (16/10)/((-12)/f). Let b be 4/n*6/(-4). Sort 1/10, b, 0.3 in ascending order.
b, 1/10, 0.3
Let g = 3 - 5. Let i = 4.92 - -0.08. Let q = -10 + i. Sort g, q, -0.1.
q, g, -0.1
Suppose -2*m = 2*c + 12, -4*m - c - 3 = -4*c. Let i be 2/m + 50/(-15). Sort -2, -5, i in descending order.
-2, i, -5
Suppose 0 = -6*q - q + 21. Put 4, q, -5, -1 in ascending order.
-5, -1, q, 4
Suppose -t = 6*m - 4*m - 10, 2*t + 8 = 3*m. Sort 3/4, 1, t, -5 in ascending order.
-5, 3/4, 1, t
Let b = 3.6 - 3.5. Put 1/9, b, 0.3 in ascending order.
b, 1/9, 0.3
Let p(d) = -d**2 + 3*d - 1. Let t be p(3). Let s = -10 - -13. Let f be 0/(8/((-12)/s)). Sort f, t, -3 in increasing order.
-3, t, f
Let n = 2 - 1.6. Let y = 0.002 + -28.002. Let o = -28.3 - y. Put -1, o, n in ascending order.
-1, o, n
Let j = 5.166 - 0.166. Let f(u) = u + 7. Let q be f(-5). Put 1/12, q, j in descending order.
j, q, 1/12
Suppose 5*x - 7 = 2*z, -x - 3*z = 1 + 1. Let g be (7 - 2)/(14 - 13). Sort x, g, 3 in descending order.
g, 3, x
Let i(v) = -6*v - 6. Let o(u) = u + 1. Let f(d) = -2*i(d) - 14*o(d). Let k be f(-3). Let w = k - 6. Sort 4, 3, w in decreasing order.
4, 3, w
Let n be 2*(2 + 1/(-1)). Suppose -n*q + 4*q = -4. Suppose 5*y = -a + 4 + 1, -5 = -a + 5*y. Sort -0.2, q, a.
q, -0.2, a
Let q(o) = -o**2 + 4*o + 8. Let x be q(6). Suppose -2*v + 7*v + y - 30 = 0, 5*v - 5 = 4*y. Sort v, x, 0 in decreasing order.
v, 0, x
Let a = -215/2 - -110. Sort 1, a, -1/8.
-1/8, 1, a
Let r = -45 - -41. Sort 3/2, -1, r.
r, -1, 3/2
Let i = 0.234 + 0.066. Put 1/5, i, -3 in increasing order.
-3, 1/5, i
Let t = -0.02 - 0.38. Let s = 0.04 + 2.96. Let r = 1 - s. Sort t, r, -2/19 in ascending order.
r, t, -2/19
Suppose -l - 3 = -4*l. Let c = -0.1 + 1.1. Let o = -0.5 + c. Sort -2/13, l, o.
-2/13, o, l
Let u be 36/81*(-15)/12. Put -1/10, u, 0.2 in ascending order.
u, -1/10, 0.2
Let m = -1 + 1. Suppose 3*y = 2*c - y - 14, 3*y = 3*c - 15. Let a be 1/(-3) - (-10)/c. Put a, -4, m in increasing order.
-4, m, a
Let m = -41.01 - -41. Sort -2, -5, m, -2/5 in descending order.
m, -2/5, -2, -5
Let b = -83 - -77. Sort b, -3, -4 in increasing order.
b, -4, -3
Let x = 1 + -4. Sort -5, x, -0.5 in decreasing order.
-0.5, x, -5
Let y = -0.6 - -0.4. Let o = 0.427 + -0.017. Let i = o - -0.09. Put 0.4, i, y in decreasing order.
i, 0.4, y
Let d(p) = -p**2 - 7*p - 4. Let f be d(-7). Let s(t) = -t + 1. Let r be s(f). Sort 4, 0, r.
0, 4, r
Let u = 0.03 + -0.13. Let x = u - -4.1. Put x, 0, 5 in increasing order.
0, x, 5
Suppose -2*n + 3*d + 1 - 4 = 0, -5*n - 1 = -d. Let u = 17 + -15. Let w be (-8 + 3)/(1 - u). Sort n, w, -2 in descending order.
w, n, -2
Let q(z) = -z**2 - 9*z - 11. Let c be q(-8). Suppose -5*r + 2*a = 7*a - 10, 0 = 4*r - 4*a - 24. Put c, -2, r in increasing order.
c, -2, r
Let n be (-4)/5 + 8/10. Put -2, -4, -7, n in increasing order.
-7, -4, -2, n
Let o(y) = -y - 1. Let k be 4*(-1 + (-9)/(-6)). Let h be o(k). Sort 1, h, -8 in descending order.
1, h, -8
Let i be (-13)/(-15) - (-2)/(-3). Let x be (1 - 0) + -1 + 2. Sort -4, i, x in ascending order.
-4, i, x
Suppose 2*u - 6 = -f, 0 = u - 2*f + 9 - 2. Suppose -2*r - r = -9. Suppose -z = -u, -4*z + r = -5*y - z. Sort -3, 2, y in decreasing order.
2, y, -3
Let i(n) = 4*n**2 + 4*n + 2. Let t be i(-1). Suppose 0 = -f - 1 - 4. Sort t, 5, f in descending order.
5, t, f
Let o = 247/4 - 62. Let l = -3203 - -15828/5. Let u = l + 38. Sort -5, u, o in decreasing order.
u, o, -5
Let t be (-2)/((-79)/81 - -1). Let v be (-2)/(-5) + t/15. Sort v, 5, -1.
v, -1, 5
Let o be (-2)/(3/(3/2)). Suppose 4*z = -l - 2*l + 20, -3*z - l = -10. Suppose 0 + 6 = z*r. Sort r, -5, o in ascending order.
-5, o, r
Let z = -4.898 + -0.102. Sort z, -3, -4/3, -1/6 in decreasing order.
-1/6, -4/3, -3, z
Suppose -13 = -p + 4*z, p - 3*z = -8*z - 23. Put 5, -1, p, 0 in descending order.
5, 0, -1, p
Let s = 1 + -1.1. Let k = s - -2.1. Let a = -55/7 + 59/7. Sort 0.1, k, a in ascending order.
0.1, a, k
Let u(s) = 2*s**2 + 35*s + 18. Let v be u(-17). Suppose -13 = 5*n + 4*j, 4*n + 0*j = -3*j - 11. Sort v, n, 2.
n, v, 2
Let v = 1 - 1. Suppose -3 = -f - v. Suppose -13 = 2*o - f. Sort o, -2, 2.
o, -2, 2
Suppose 33 - 1 = 4*d. Suppose 0 = -4*g + 12 + d. Put g, -5, -3 in descending order.
g, -3, -5
Let k(x) = x**2 + 4*x. Let y be k(-3). Let m(w) = 11*w + 88. Let t be m(-8). Sort y, t, 2/5 in increasing order.
y, t, 2/5
Let d be ((-12)/15)/((-2)/15). Let h be 4/d*6/12. Put 0.3, h, 0.2 in increasing order.
0.2, 0.3, h
Suppose -3*d - 15 = -0*d. Let x be (6 - (-10)/25) + -6. Put d, x, 2 in increasing order.
d, x, 2
Let m = -136 - -139. Sort -19, -1, 4, m.
-19, -1, m, 4
Let i = -16 - -29. Let g(b) = 7*b**3 + 14*b**2 - b - 12. Let l(c) = -15*c**3 - 29*c**2 + 2*c + 25. Let o(m) = i*g(m) + 6*l(m). Let w be o(-8). Sort w, -5, -4.
-5, -4, w
Let n = 2.77 - -0.23. Sort -3, n, 5.
-3, n, 5
Suppose 3*u + 36 = -u - 4*n, 5*u = -n - 49. Let w = u - -12. Put 5, w, 0 in ascending order.
0, w, 5
Let v(m) = m**2 - 2*m - 4. Let d be v(3). Let q = 4 + d. Put 2, 0, q in increasing order.
0, 2, q
Let f = -2 + 2. Let j(p) = -p**3 - 14*p**2 - 13*p + 2. Let s be j(-13). Sort f, -4, s in ascending order.
-4, f, s
Let d(h) = -h**3 - 5*h**2 - 4*h + 1. Let f be d(-3). Suppose -6*q + 2*q - 5*i + 13 = 0, 4*q + 7 = -i. Sort f, 4, q.
f, q, 4
Let r = 8 - 0. Put -0.2, -1/7, r in descending order.
r, -1/7, -0.2
Suppose -5*v + 4*l = -2*v - 35, -4*v + 4*l = -40. Let t be v/(5/(-3)) - -2. Sort t, -3, 5 in descending order.
5, t, -3
Let g(i) be the third derivative of -i**5/30 - i**4/24 + i**3/3 - 5*i**2. Let p be g(-2). Sort 6, -1, p in ascending order.
p, -1, 6
Suppose 0 = x + 3*x - 4*k - 36, 0 = -3*x + 4*k + 32. Let m(u) = u**2 + 12*u. Let r be m(-12). Sort x, -5, r in decreasing order.
x, r, -5
Suppose 10*u = 4*u + 12. Sort 3, u, -3 in decreasing order.
3, u, -3
Let h = -2966435/68588 + 1/17147. Let f = -43 - h. Sort 2/3, 1, f in decreasing order.
1, 2/3, f
Let h be ((-10)/(-6))/(4/12). Put 3, -1, h in decreasing order.
h, 3, -1
Let r = -15.4 - -15. Put -4/7, 2, r in descending order.
2, r, -4/7
Let l = 0 + -0.04. Suppose -r = 3*r - 16. Sort 0, l, r in ascending order.
l, 0, r
Let r = -23 + 21. Let v be -1*-1*(-2 - -5). Put v, 1, r in descending order.
v, 1, r
Let p be (-12)/9*3*(-1)/(-2). Sort p, 2, 3/2, -0.5 in descending order.
2, 3/2, -0.5, p
Let r = 1 - -2. Sort -1, 0.04, r in increasing order.
-1, 0.04, r
Let f be (-8)/(-60) + (1/5)/1. Put 2, 1, f, -4/3 in decreasing order.
2, 1, f, -4/3
Let g(d) = d**2 - 5*d + 3. Let c be g(5). Let t(r) = -r**2 + 3*r - 2. Let l be t(c). Sort 5, 4, l in decreasing order.
5, 4, l
Suppose -5*j - 41 = -4*q, 10 + 6 = 4*q. Sort 5, j, 1 in descending order.
5, 1, j
Let k(p) = 2*p**2 + 7*p + 4. Let w be k(-4). Let z be 58/(-18) + w/36. Put z, 4, 1 in decreasing order.
4, 1, z
Suppose 2*i - 11 = 9. Suppose 0*p + 55 = 5*p. Suppose -v = 5*r - i, -4*r - p = -v - 2*v. Sort -3, -4, v in decreasing order.
v, -3, -4
Let b(y) = y - 3. Let p be b(3). Suppose -3*j - 2*j = p. Suppose -4*q + 14 = q - 2*w, 0 = 5*q + 5*w - 35. Sort j, -5, q in descending order.
q, j, -5
Suppose p - 5 = 4. Suppose -5*a = -129 + p. Suppose 6*k = 3*k + 5*h - a, -3*h = 4*k + 3. Sort 3, 1, k.
k, 1, 3
Let k = -0.3 + -0.2. Let i = 1/2090 + -474433/6270. Let g = -75 - i. Sort k, -1, g in ascending order.
-1, k, g
Let k be (-32)/6 - 2/3. Put -1, k, -3 in ascending order.
k, -3, -1
Let p(r) = -r**3 + 6*r**2 + 9*r - 7. Let c be p(7). Suppose c = t - 1. Suppose -4*q + t + 0 = 0. Sort q, 3, 1 in ascending order.
1, q, 3
Let k = 1.4 - 4.4. Let q = -8 + 13. Let a be 2/(1/((-3)/(-6))). Sort q, a, k.
k, a, q
Let p = -5/2 - -29/14. Sort p, -0.5, -2/9.
-0.5, p, -2/9
Let r = 112 - 121. Sort -6, r, 2 in decreasing order.
2, -6, r
Suppose -3*j + 2 = -7. Suppose -4*k = -b + 14, -j*k - k - 16 = -2*b. Let z be (-1 - 0)/((-1)/3). Put 0, k, z in increasing order.
k, 0, z
Let p = -0.12 + 5.62. Let w = p + -5. Sort -5, w, -0.2 in decreasing order.
w, -0.2, -5
Let f be -1 - (-2 - -3)*2. Let y be 21/14*1/f. Sort -6, 1/8, y in descending order.
1/8, y, -6
Suppose j = 9 + 15. Let r be -1*4*(-10)/(-4). Let t be (r/(-8))/((-6)/j). Sort t, -5/6, -3/7.
t, -5/6, -3/7
Suppose -3*p + 8*p + 2*g = 8, -2*p = 4*g. Suppose b - p*b = 2. Suppose 5*y - 18 = 2. Put y, b, -1 in descending order.
y
|
{
"pile_set_name": "DM Mathematics"
}
|
letters picked without replacement from {h: 14, c: 5}. What is prob of picking 2 h and 1 c?
455/969
What is prob of picking 1 y, 1 p, 1 j, and 1 z when four letters picked without replacement from {z: 2, p: 1, d: 2, j: 7, u: 1, y: 1}?
2/143
What is prob of picking 2 l and 1 d when three letters picked without replacement from {l: 5, r: 2, y: 2, d: 3, h: 1, k: 6}?
10/323
Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {o: 3, q: 3, v: 2, y: 3, z: 1, e: 7}.
7/57
Calculate prob of picking 2 p when two letters picked without replacement from {j: 6, p: 7}.
7/26
Calculate prob of picking 2 c and 2 k when four letters picked without replacement from {k: 11, c: 5}.
55/182
What is prob of picking 1 x and 3 n when four letters picked without replacement from {x: 1, c: 8, n: 4}?
4/715
Four letters picked without replacement from {d: 3, w: 1, o: 3, u: 2, h: 1, b: 2}. What is prob of picking 2 o and 2 b?
1/165
Three letters picked without replacement from rhrfhrrhr. Give prob of picking 1 f and 2 r.
5/42
What is prob of picking 1 e and 2 l when three letters picked without replacement from {o: 2, e: 4, l: 7}?
42/143
What is prob of picking 2 y, 1 k, and 1 s when four letters picked without replacement from {k: 1, n: 1, y: 2, s: 3}?
3/35
Two letters picked without replacement from {h: 3, e: 5, t: 1}. What is prob of picking 1 h and 1 e?
5/12
Two letters picked without replacement from ubvvlbubmmbuubx. What is prob of picking 1 u and 1 x?
4/105
Two letters picked without replacement from nnbjnzknjnjnjnn. What is prob of picking 2 j?
2/35
Calculate prob of picking 1 q, 2 d, and 1 y when four letters picked without replacement from {q: 6, y: 3, h: 3, d: 3, f: 2}.
27/1190
What is prob of picking 1 c and 2 n when three letters picked without replacement from {n: 2, c: 3, h: 4}?
1/28
Two letters picked without replacement from {k: 3, b: 4}. What is prob of picking 2 k?
1/7
Four letters picked without replacement from obfhbbh. Give prob of picking 1 b and 3 f.
0
Three letters picked without replacement from {s: 2, a: 2, g: 1}. What is prob of picking 1 g, 1 s, and 1 a?
2/5
Two letters picked without replacement from {n: 2, l: 4, p: 3}. Give prob of picking 2 n.
1/36
Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {u: 2, q: 7, g: 1, t: 2}.
2/33
Two letters picked without replacement from {e: 3, u: 4, t: 3, h: 3}. Give prob of picking 1 u and 1 e.
2/13
Three letters picked without replacement from eeeetkkl. Give prob of picking 1 k and 2 e.
3/14
Calculate prob of picking 2 z when two letters picked without replacement from {z: 7, w: 9}.
7/40
What is prob of picking 2 u when two letters picked without replacement from uuuuvvvuuvuvuuuu?
11/24
Three letters picked without replacement from {c: 6, h: 11, v: 2}. What is prob of picking 3 h?
55/323
Three letters picked without replacement from {s: 7, d: 7, x: 2}. Give prob of picking 2 d and 1 s.
21/80
What is prob of picking 2 h when two letters picked without replacement from hjkhsshjjh?
2/15
Calculate prob of picking 1 w and 1 i when two letters picked without replacement from wupiupiiwip.
8/55
Four letters picked without replacement from nnttnsnasnkskn. What is prob of picking 3 n and 1 a?
20/1001
Two letters picked without replacement from {h: 2, w: 1, v: 1, n: 1, u: 2}. What is prob of picking 2 h?
1/21
Three letters picked without replacement from {c: 1, v: 1, a: 3, h: 2}. What is prob of picking 1 v, 1 c, and 1 h?
2/35
Four letters picked without replacement from lldzzoko. Give prob of picking 1 k, 2 z, and 1 o.
1/35
Four letters picked without replacement from pppysppsyyup. Give prob of picking 2 p and 2 y.
1/11
Calculate prob of picking 2 c, 1 x, and 1 k when four letters picked without replacement from {e: 3, k: 2, c: 4, s: 2, x: 1}.
4/165
Calculate prob of picking 1 t, 1 w, and 1 h when three letters picked without replacement from {t: 2, h: 6, w: 7}.
12/65
Two letters picked without replacement from fnodnnnnnaddnnndnfdn. What is prob of picking 1 n and 1 o?
11/190
What is prob of picking 1 q and 1 v when two letters picked without replacement from {o: 2, v: 1, q: 2, k: 1, y: 4}?
2/45
Two letters picked without replacement from efejpeepme. Give prob of picking 1 p and 1 m.
2/45
What is prob of picking 1 o and 2 u when three letters picked without replacement from {u: 13, o: 3}?
117/280
What is prob of picking 1 c and 2 d when three letters picked without replacement from {c: 2, d: 5}?
4/7
Calculate prob of picking 3 u when three letters picked without replacement from {u: 17, f: 1}.
5/6
Three letters picked without replacement from {u: 5, p: 5, x: 2, s: 1, j: 3, t: 4}. What is prob of picking 1 x, 1 s, and 1 t?
2/285
Three letters picked without replacement from {d: 5, o: 3, s: 9, q: 1}. What is prob of picking 2 o and 1 d?
5/272
Calculate prob of picking 1 l and 1 a when two letters picked without replacement from lvlovavlll.
1/9
What is prob of picking 2 s when two letters picked without replacement from {k: 6, l: 1, s: 6, h: 1, o: 1}?
1/7
Calculate prob of picking 1 a and 1 l when two letters picked without replacement from lalaoolla.
1/3
Three letters picked without replacement from ymymayyyyyymmiym. Give prob of picking 2 y and 1 m.
9/28
Two letters picked without replacement from {q: 1, e: 1, w: 2}. What is prob of picking 1 w and 1 q?
1/3
Two letters picked without replacement from {l: 2, t: 1, u: 3, v: 3, d: 1}. What is prob of picking 1 u and 1 l?
2/15
Three letters picked without replacement from {n: 3, h: 1}. What is prob of picking 2 n and 1 h?
3/4
Two letters picked without replacement from csnycim. Give prob of picking 1 y and 1 m.
1/21
Three letters picked without replacement from {e: 5, k: 3, l: 1, p: 1, w: 2, b: 1}. Give prob of picking 2 e and 1 l.
5/143
Four letters picked without replacement from iiixxyccxxuixxxi. What is prob of picking 2 x, 1 i, and 1 u?
3/52
Three letters picked without replacement from vbxsxavvxssbf. Give prob of picking 1 f, 1 b, and 1 x.
3/143
Two letters picked without replacement from taiztiicctitcicicccc. What is prob of picking 1 a and 1 z?
1/190
Calculate prob of picking 1 y, 1 i, and 2 f when four letters picked without replacement from ifffyyyff.
5/21
Four letters picked without replacement from qyyhrhhhhlryhrlhqq. What is prob of picking 1 h and 3 r?
7/3060
Two letters picked without replacement from ootoooroo. Give prob of picking 1 t and 1 o.
7/36
What is prob of picking 1 o and 1 a when two letters picked without replacement from aoaaaaaoaaaaaoaaao?
56/153
Four letters picked without replacement from {h: 3, k: 5, f: 5}. What is prob of picking 1 k and 3 h?
1/143
Three letters picked without replacement from {e: 5, p: 3, t: 2, x: 2, a: 2, n: 2}. Give prob of picking 1 a and 2 x.
1/280
Four letters picked without replacement from hchci. Give prob of picking 1 i, 2 c, and 1 h.
2/5
Three letters picked without replacement from {m: 1, o: 3, a: 4, j: 1, z: 4}. What is prob of picking 2 o and 1 a?
6/143
Three letters picked without replacement from {b: 2, u: 11, x: 5, y: 2}. What is prob of picking 1 b and 2 y?
1/570
Three letters picked without replacement from frfffrrfrfrfufrffuf. Give prob of picking 3 r.
20/969
Calculate prob of picking 3 q and 1 p when four letters picked without replacement from pqpqqqpqpqq.
14/33
Calculate prob of picking 1 r, 1 j, and 1 h when three letters picked without replacement from {j: 1, f: 1, h: 2, r: 3}.
6/35
Calculate prob of picking 1 h and 1 y when two letters picked without replacement from hykhklz.
2/21
Calculate prob of picking 3 c when three letters picked without replacement from cccccccf.
5/8
What is prob of picking 1 g, 1 h, and 1 d when three letters picked without replacement from dgdkhdl?
3/35
Calculate prob of picking 1 a and 1 s when two letters picked without replacement from xxsssac.
1/7
Three letters picked without replacement from {e: 16, d: 4}. Give prob of picking 1 e and 2 d.
8/95
Two letters picked without replacement from {k: 2, j: 1, p: 1, w: 2}. Give prob of picking 1 w and 1 j.
2/15
What is prob of picking 2 w when two letters picked without replacement from {i: 2, w: 8}?
28/45
What is prob of picking 1 o, 1 i, 1 h, and 1
|
{
"pile_set_name": "DM Mathematics"
}
|
y.
1
Solve 16 - 32 = -4*a for a.
4
Solve 4*p = -5*p - 27 for p.
-3
Solve -5*y + 240 = 225 for y.
3
Solve 503*g = 512*g - 18 for g.
2
Solve -20*d - 728 = -111*d for d.
8
Solve -12 = -48*j + 52*j for j.
-3
Solve 32 = -19*g + 11*g for g.
-4
Solve 8*d - 10*d = 0 for d.
0
Solve 9 = m + 14 for m.
-5
Solve 33*f + 156 = -108 for f.
-8
Solve -1980*y + 6 = -1982*y for y.
-3
Solve 0 = 8*v - 13*v + 10 for v.
2
Solve 0 = -w - 33 + 39 for w.
6
Solve -89*k + 77*k = 12 for k.
-1
Solve 0 = 2*b - b + 3 for b.
-3
Solve 0 = 5*m - 6*m - 2 for m.
-2
Solve -57*n + 282 + 60 = 0 for n.
6
Solve -7*t - t = 0 for t.
0
Solve -15*d + 69 + 36 = 0 for d.
7
Solve 24 = 12*t - 18*t for t.
-4
Solve -4*q = 6 + 22 for q.
-7
Solve -30 = -69*x + 54*x for x.
2
Solve 10*a = 15*a - 25 for a.
5
Solve -27*h = -31*h for h.
0
Solve 0 = 13*q + 21*q - 34 for q.
1
Solve 7 = 6*m - 13*m for m.
-1
Solve 0 = 3*c - 6 for c.
2
Solve -113 + 107 = 6*i for i.
-1
Solve -1126 = 13*y - 1178 for y.
4
Solve 0 = -11*q + 3 - 47 for q.
-4
Solve -5*x = -4*x + 2 for x.
-2
Solve -45*q + 28 = -107 for q.
3
Solve 20 = 7*z - 2*z for z.
4
Solve 547 = 22*t + 613 for t.
-3
Solve 9*w - 23 = 4 for w.
3
Solve -5*u = -826 + 861 for u.
-7
Solve 5*j + 18 - 18 = 0 for j.
0
Solve 0 = -3*y - 16*y for y.
0
Solve 27*q + 272 = 56 for q.
-8
Solve 124*b - 150 = 154*b for b.
-5
Solve -23*a + 17*a = 18 for a.
-3
Solve -29 + 9 = 4*q for q.
-5
Solve 38*i + 14 = 36*i for i.
-7
Solve 25 + 6 = -31*o for o.
-1
Solve -5 = 7*r + 23 for r.
-4
Solve -11*b - 10 = -6*b for b.
-2
Solve 5*o = 6*o + 1 for o.
-1
Solve 0 = 8*q - 10*q + 10 for q.
5
Solve -55 = -21*z - 13 for z.
2
Solve -240*v - 11 = -251*v for v.
1
Solve -15*m - 1 = -14*m for m.
-1
Solve -27*q + 20 = -37*q for q.
-2
Solve 6*v + 104 = 68 for v.
-6
Solve 29*q - 14 - 247 = 0 for q.
9
Solve -7*k - 23*k = -270 for k.
9
Solve -5 = 7*l + 23 for l.
-4
Solve -36 + 96 = -10*l for l.
-6
Solve -544 = 25*r + 43*r for r.
-8
Solve 21 - 3 = -18*s for s.
-1
Solve -3 = 94*v - 91*v for v.
-1
Solve -84*k + 14 = -91*k for k.
-2
Solve 101*j - 105*j - 12 = 0 for j.
-3
Solve 0 = 7*y + 5 + 30 for y.
-5
Solve 9*v + 25 = 25 for v.
0
Solve 30*d = 52*d + 44 for d.
-2
Solve 0 = -51*z + 53*z - 10 for z.
5
Solve -4*p + 72 = 72 for p.
0
Solve 0 = 10*t + 239 - 219 for t.
-2
Solve -5*q + 684 = 659 for q.
5
Solve 5*h = h + 20 for h.
5
Solve -36 = -21*h + 3*h for h.
2
Solve 0 = 3*u + 1076 - 1058 for u.
-6
Solve -33 = -3*p - 24 for p.
3
Solve 4*g - 23 = -3 for g.
5
Solve -3104*u + 3097*u = -49 for u.
7
Solve 2*r + 12*r + 28 = 0 for r.
-2
Solve n + 4 - 2 = 0 for n.
-2
Solve 2*s + 16 - 4 = 0 for s.
-6
Solve -5*w - 50 = -75 for w.
5
Solve 117*c - 3 = 114*c for c.
1
Solve -70 + 15 = -11*i for i.
5
Solve 9*p = -26 - 1 for p.
-3
Solve 6*c + 45 = 15*c for c.
5
Solve -30 = 39*n - 33*n for n.
-5
Solve 0 = -5*k - 26*k - 310 for k.
-10
Solve -468*j = -453*j for j.
0
Solve 0 = -89*u + 88*u - 2 for u.
-2
Solve 3*z = -86 + 68 for z.
-6
Solve 12*z = 176 - 116 for z.
5
Solve -43 + 87 = 11*i for i.
4
Solve -40*z = -36*z - 20 for z.
5
Solve 0 = 5*g - 1150 + 1125 for g.
5
Solve -18 = 1333*i - 1330*i for i.
-6
Solve -5*m = -0 - 10 for m.
2
Solve 24*g + 39*g - 315 = 0 for g.
5
Solve 19*b + 101 = 6 for b.
-5
Solve 23 = 7*x - 12 for x.
5
Solve 2021 = 11*w + 2076 for w.
-5
Solve -112*u = -124*u - 84 for u.
-7
Solve -40*u = -30*u - 40 for u.
4
Solve -183 - 233 = -52*b for b.
8
Solve 5*s + 49*s = -162 for s.
-3
Solve 14 = -8*j + 6 for j.
-1
Solve 12*d + 36 + 12 = 0 for d.
-4
Solve 0 = -91*a - 47*a - 1104 for a.
-8
Solve -11*d + 0*d - 22 = 0 for d.
-2
Solve -26*t = -13 - 91 for t.
4
Solve -11*c + 7*c + 12 = 0 for c.
3
Solve -9*q - 44 = -35 for q.
-1
Solve -5*x = -7*x + 8 for x.
4
Solve -352 + 44 = -44*q for q.
7
Solve 0 = 41*x - 25 - 16 for x.
1
Solve 2*b + 14 = 9*b for b.
2
Solve -34*p = -10*p - 96 for p.
4
Solve 0 = -27*p + 41*p - 42 for p.
3
Solve h - 51 = -53 for h.
-2
Solve -49*i = -39*i + 80 for i.
-8
Solve 20 = -5*x - 15 for x.
-7
Solve 0 = 3*n - 15 + 27 for n.
-4
Solve 20*g - 13*g + 21 = 0 for g.
-3
Solve 13 = 29*a + 187 for a.
-6
Solve 6*t + 2*t - 32 = 0 for t.
4
Solve -3*g = -32 + 17 for g.
5
Solve 5*s + 137 = 162 for s.
5
Solve 68 = -27*r - 67 for r.
-5
Solve -6*n + 9 = -3 for n.
2
Solve 131 - 68 = 9*a for a.
7
Solve 21*b - 20 = 16*b for b.
4
Solve 28 + 28 = -14*a for a.
-4
Solve 1543 = 10*z + 1493 for z.
5
Solve 0 = -66*v + 60*v + 12 for v.
2
Solve -19*f + 15*f = -16 for f.
4
Solve 9*p + 15 + 48 = 0 for p.
-7
Solve -19*m = -2*m + 51 for m.
-3
Solve 2*t + 863 = 845 for t.
-9
Solve 589 = 5*s + 619 for s.
-6
Solve -428 = -4*p - 452 for p.
-6
Solve -19*h = -18*h - 5 for h.
5
Solve 0 + 6 = 2*h for h.
3
Solve -658 = 12*z - 778 for z.
10
Solve 75*u - 81*u = -42 for u.
7
Solve 32*a = 11*a - 84 for a.
-4
Solve 416*s - 424*s = 0 for s.
0
Solve -7 = 34*j - 35*j for j.
7
Solve 8*a + 7 = 7 for a.
0
Solve 88*s = 104*s + 48 for s.
-3
Solve -6*b + 49 - 7 = 0 for b.
7
Solve 0 = 10*l - 6*l - 4 for l.
1
Solve -9*d + 12*d = -15 for d.
-5
Solve -6 = 4*c - 18 for c.
3
Solve -2*g + 150 - 154 = 0 for g.
-2
Solve -16*a - 16 = -0 for a.
-1
Solve 461*q = 462*q + 7 for q.
-7
Solve -79*k + 10 = -81*k for k.
-5
Solve -46 = 10*g - 86 for g.
4
Solve -65*d + 28*d + 37 = 0 for d.
1
Solve 0 = -8*o + 14 - 46 for o.
-4
Solve 7*h + 56 = 28 for h.
-4
Solve -2*z - 5*z + 0*z = 0 for z.
0
Solve -4*i - 108 = -104 for i.
-1
Solve -239*u + 44*u = -1755 for u.
9
Solve 13*l - 15*l = 10 for l.
-5
Solve -30*p = 106 + 104 for p.
-7
Solve -q + 30 - 32 = 0 for q.
-2
Solve -5*y + 0 = -20 for y.
4
Solve 3 = k + 8 for k.
-5
Solve 22*i - 322 = -168 for i.
7
Solve 21*i - 27*i = 42 for i.
-7
Solve 31*i - 23 = -178 for i.
-5
Solve -12*g - 141 = -153 for g.
1
Solve 5*x - 621 = -591 for x.
6
Solve -22 = -7*q - 1 for q.
3
Solve 80 = 6*o + 26 for o.
9
Solve -5*h = -23*h - 54 for h.
-3
Solve -65*n - 237 + 42 = 0 for n.
-3
Solve -13*r + 4 = -48 for r.
4
Solve -7*h + 0*h = -56 for h.
8
Solve -3*l - 8 = -l for l.
-4
Solve 0 = -80*t - 137 + 457 for t.
4
Solve -58*x + 66 = -47*x for x.
6
Solve 4*u - 5*u = 1 for u.
-1
Solve 8*w - 24 = 2*w for w.
4
Solve 0 = 271*j - 251*j + 80 for j.
-4
Solve -6 = -12*z - 30 for z.
-2
Solve 2*n = 9*n + 7*n for n.
0
Solve -4*s + 77 - 85 = 0 for s.
-2
Solve 138 = -18*u + 48 for u.
-5
Solve 0*a = 28*a - 28 for a.
1
Solve o - 40 = -19*o for o.
2
Solve 20 = -17*g + 71 for g.
3
Solve 27 = -3*v - 6*v for v.
-3
Solve -16*r - 927 = 87*r for r.
-9
Solve 0 = 4*f - 8*f + 8 for f.
2
Solve -22 - 12 = -17*w for w.
2
Solve 4*m + 26 = 30 for m.
1
Solve 7*m - 12 = 4*m for m.
4
Solve 76*g + 11*g = -783 for g.
-9
Solve 7*x + 336 = 350 for x.
2
Solve 99 + 93 = 24*m for m.
8
Solve -2*w - 15 = -17*w for w.
1
Solve 432 - 112 = -32*d for d.
-10
Solve 0 = 18*x - 17*x - 3 for x.
3
Solve 16 = -2*m - 14*m for m.
-1
Solve 0 = 8*v - 17*v + 54 for v.
6
Solve 7 + 59 = -11*t for t.
-6
Solve -20*h + 34*h = 112 for h.
8
Solve 0 = -5*u + 16 - 1 for u.
3
Solve 72*j + 34*j = -530 for j.
-5
Solve -52 = 29*d - 168 for d.
4
Solve 14*s - 8 = 10*s for s.
2
Solve 4 = 4*r - 0 for r.
1
Solve 3287*w = 3290*w - 12 for w.
4
Solve -15*l + 11*l = 20 for l.
-5
Solve -4*y = -10*y + 12 for y.
2
Solve -665*b + 659*b = 12 for b.
-2
Solve -15*s - 21 = -8*s for s.
-3
Solve 0 = 111*s - 128*s + 102 for s.
6
Solve -502*h = -498*h + 20 for h.
-5
Solve x = -0*x - 1 for x.
-1
Solve -6*z + 21*z = -15 for z.
-1
Solve -74*h - 7 = -81*h for h.
1
Solve 476*a - 478*a = -18 for a.
9
Solve 1 = -160*l + 161*l for l.
1
Solve 20*m = 21*m for m.
0
Solve -13 = 16*i + 51 for i.
-4
Solve 17*p - 110 = -42 for p.
4
Solve -5*f - 2 + 7 = 0 for f.
1
Solve -28*b - 110*b + 1518 = 0 for b.
11
Solve -354*f - 36 = -360*f for f.
6
Solve 27*q - 5 = 28*q for q.
-5
Solve -15*g + 52 = -8 for g.
4
Solve 0 = i + 48 - 42 for i.
-6
Solve 0 = 6*f + 531 - 567 for f.
6
Solve -42 = 14*h - 21*h for h.
6
Solve 0 = -2*c - 75 + 81 for c.
3
Solve -5*u + 456 = 446 for u.
2
Solve -47 - 43 = -15*k for k.
6
Solve -31*k + 185 = 61 for k.
4
Solve -b + 7*b - 4*b = 0 for b.
0
Solve -5*c - 24 = 1 for c.
-5
Solve 0 = -4*r - 7 - 5 for r.
-3
Solve -55 = 22*i - 33*i for i.
5
Solve 46 = -5*g + 31 for g.
-3
Solve -48 = -179*p + 185*p for p.
-8
Solve 0 = 27*q - 10 - 125 for q.
5
Solve -3*v + 591 - 612 = 0 for v.
-7
Solve 0 = y - 2 for y.
2
Solve -21 = -10*f + 7*f for f.
7
Solve 14*z = 10*
|
{
"pile_set_name": "DM Mathematics"
}
|
ed to the nearest 100000?
-200000
What is -0.8709 rounded to 2 decimal places?
-0.87
Round -0.00022599 to 5 dps.
-0.00023
What is 9433000 rounded to the nearest one million?
9000000
What is 1712300 rounded to the nearest 1000000?
2000000
What is -989.4 rounded to the nearest ten?
-990
What is 0.00000236 rounded to six dps?
0.000002
What is -34.63 rounded to 0 decimal places?
-35
Round 328740 to the nearest one thousand.
329000
Round 0.6128 to 1 dp.
0.6
What is 47690 rounded to the nearest one hundred thousand?
0
Round -73210 to the nearest 10000.
-70000
What is -3.28 rounded to 1 decimal place?
-3.3
What is -88500000 rounded to the nearest 1000000?
-89000000
What is -3662900 rounded to the nearest 10000?
-3660000
Round 934 to the nearest one hundred.
900
What is -0.001757 rounded to 5 dps?
-0.00176
Round 0.0000073074 to 6 dps.
0.000007
Round 122500 to the nearest one thousand.
123000
Round -0.0000023199 to 7 dps.
-0.0000023
Round -0.0283313 to four dps.
-0.0283
Round 0.0000013318 to seven decimal places.
0.0000013
What is 0.053749 rounded to four decimal places?
0.0537
What is 1.762 rounded to 0 decimal places?
2
Round 0.0065197 to 3 decimal places.
0.007
What is 0.003801 rounded to four decimal places?
0.0038
What is -4360 rounded to the nearest one hundred?
-4400
What is -347 rounded to the nearest 100?
-300
What is 0.0005612 rounded to five decimal places?
0.00056
What is -0.00113 rounded to three dps?
-0.001
Round 0.00000559 to 6 decimal places.
0.000006
Round 4707.9 to the nearest 1000.
5000
What is -0.000879 rounded to 4 dps?
-0.0009
Round 0.0022182 to four dps.
0.0022
What is 0.006947 rounded to 4 dps?
0.0069
What is 0.000987 rounded to three dps?
0.001
Round -6818100 to the nearest one hundred thousand.
-6800000
What is 115640 rounded to the nearest one thousand?
116000
What is -0.00019003 rounded to five decimal places?
-0.00019
Round -0.071764 to 2 decimal places.
-0.07
What is -0.001673 rounded to 4 dps?
-0.0017
Round 34.015 to the nearest integer.
34
What is -0.00688 rounded to four decimal places?
-0.0069
Round 0.00016475 to six decimal places.
0.000165
Round 52250 to the nearest one thousand.
52000
What is -0.000032289 rounded to 7 dps?
-0.0000323
What is -329635000 rounded to the nearest 1000000?
-330000000
Round 51900 to the nearest ten thousand.
50000
What is -0.061629 rounded to two decimal places?
-0.06
What is 0.0000011653 rounded to seven decimal places?
0.0000012
Round -0.947 to 1 decimal place.
-0.9
What is -0.3833 rounded to three decimal places?
-0.383
What is 0.00000377581 rounded to seven dps?
0.0000038
Round -5226 to the nearest 1000.
-5000
Round 178612 to the nearest ten thousand.
180000
What is 14.975 rounded to one dp?
15
What is 94844 rounded to the nearest 100?
94800
Round 0.23738 to two dps.
0.24
What is -8716 rounded to the nearest one thousand?
-9000
What is -75287 rounded to the nearest 1000?
-75000
Round 18.1319 to 2 dps.
18.13
What is 3930300 rounded to the nearest ten thousand?
3930000
What is 162.749 rounded to the nearest integer?
163
What is -0.09351 rounded to three decimal places?
-0.094
Round -113774000 to the nearest one million.
-114000000
Round 0.000716 to 4 dps.
0.0007
What is 0.000121982 rounded to 5 dps?
0.00012
Round -99190000 to the nearest one million.
-99000000
Round 66198.4 to the nearest 100.
66200
What is -2904.8 rounded to the nearest 10?
-2900
Round 0.000043952 to six decimal places.
0.000044
Round 2230.9 to the nearest 10.
2230
What is -7420000 rounded to the nearest one million?
-7000000
What is -117380000 rounded to the nearest one million?
-117000000
Round -146.85 to 0 dps.
-147
What is 0.0001673 rounded to five dps?
0.00017
Round -1.9323 to 2 decimal places.
-1.93
Round -0.0000129004 to seven decimal places.
-0.0000129
Round 76300 to the nearest 1000.
76000
What is -0.0009337 rounded to four dps?
-0.0009
What is -1.028 rounded to the nearest 10?
0
Round -8592000 to the nearest one hundred thousand.
-8600000
Round -166490000 to the nearest one million.
-166000000
Round -637000 to the nearest one million.
-1000000
Round 0.333 to 2 dps.
0.33
What is -24.491 rounded to 1 decimal place?
-24.5
What is -72064 rounded to the nearest one hundred?
-72100
Round 0.0030463 to four decimal places.
0.003
Round -1196.65 to the nearest 10.
-1200
What is 680000 rounded to the nearest 100000?
700000
What is 0.0000074337 rounded to six decimal places?
0.000007
What is 5447600 rounded to the nearest one million?
5000000
What is 0.709 rounded to 1 dp?
0.7
What is 0.00061428 rounded to 5 dps?
0.00061
What is -927.11 rounded to the nearest ten?
-930
What is -0.0613 rounded to 3 dps?
-0.061
Round 13.759 to 0 dps.
14
Round -1130000 to the nearest one hundred thousand.
-1100000
What is -162246 rounded to the nearest 1000?
-162000
What is 0.058316 rounded to two dps?
0.06
What is -4.8602 rounded to 2 decimal places?
-4.86
Round 0.000011587 to seven dps.
0.0000116
What is -0.0862 rounded to three dps?
-0.086
Round -0.0000050664 to 7 decimal places.
-0.0000051
Round 101630 to the nearest ten thousand.
100000
What is -1293700 rounded to the nearest 100000?
-1300000
What is -0.007232 rounded to three dps?
-0.007
Round -0.00032347 to five decimal places.
-0.00032
What is 0.02994 rounded to two dps?
0.03
Round 98.634 to the nearest ten.
100
What is 0.000025 rounded to four dps?
0
What is 5626 rounded to the nearest 1000?
6000
Round 79007 to the nearest one hundred.
79000
Round -0.000008616 to seven dps.
-0.0000086
Round 0.07005 to two decimal places.
0.07
Round 0.0000925 to four dps.
0.0001
What is 29.43 rounded to zero dps?
29
What is -46.19 rounded to the nearest 10?
-50
What is 4708 rounded to the nearest 100?
4700
Round -0.00004795 to 6 decimal places.
-0.000048
What is -1300.36 rounded to the nearest 10?
-1300
What is 0.3941 rounded to one dp?
0.4
What is 8363000 rounded to the nearest one million?
8000000
What is 16176000 rounded to the nearest 1000000?
16000000
What is -276.36 rounded to the nearest ten?
-280
Round 0.00001378 to 6 decimal places.
0.000014
What is 0.0002093 rounded to five decimal places?
0.00021
Round 0.000014012 to 6 dps.
0.000014
What is 0.13444 rounded to 2 dps?
0.13
Round 12258200 to the nearest one hundred thousand.
12300000
Round -1836 to the nearest ten.
-1840
Round 5.0629 to 2 dps.
5.06
What is 0.05278 rounded to two decimal places?
0.05
What is -10330000 rounded to the nearest 1000000?
-10000000
Round -0.000000326921 to seven decimal places.
-0.0000003
What is -12063.3 rounded to the nearest 100?
-12100
What is 0.000100415 rounded to six decimal places?
0.0001
What is 0.0005093 rounded to 4 dps?
0.0005
Round 0.2213 to two decimal places.
0.22
Round 0.004916 to 5 decimal places.
0.00492
What is -0.0006654 rounded to 5 dps?
-0.00067
Round 0.00000904 to 5 dps.
0.00001
What is 0.0000006486 rounded to 7 decimal places?
0.0000006
Round 13.24 to 0 decimal places.
13
What is 9450000 rounded to the nearest 1000000?
9000000
What is 0.0000016621 rounded to 7 dps?
0.0000017
What is 0.000000272 rounded to six dps?
0
What is -1.1197 rounded to 1 dp?
-1.1
Round -9940 to the nearest 1000.
-10000
What is 350500 rounded to the nearest 10000?
350000
What is 0.4699 rounded to 1 decimal place?
0.5
What is 96210 rounded to the nearest one thousand?
96000
What is 0.000948 rounded to 4 dps?
0.0009
Round 0.00001578 to six decimal places.
0.000016
Round 0.000048763 to 6 dps.
0.000049
What is -4160400 rounded to the nearest one hundred thousand?
-4200000
What is 5.97 rounded to the nearest integer?
6
Round -0.046382 to four decimal places.
-0.0464
Round 0.497 to 2 decimal places.
0.5
What is -11090000 rounded to the nearest one million?
-11000000
What is -69000 rounded to the nearest 10000?
-70000
What is 0.00001353 rounded to six decimal places?
0.000014
Round 43958 to the nearest 10000.
40000
Round -45.2 to the nearest one hundred.
0
What is -0.00131168 rounded to four dps?
-0.0013
What is -0.118746 rounded to 2 dps?
-0.12
What is -0.012071 rounded to four decimal places?
-0.0121
What is 14072 rounded to the nearest one hundred?
14100
What is -3607000 rounded to the nearest 1000000?
-4000000
What is 10620 rounded to the nearest ten thousand?
10000
Round -4790.8 to the nearest 100.
-4800
What is 0.00
|
{
"pile_set_name": "DM Mathematics"
}
|
6/5 + 17827/210. Find the common denominator of j and -55/27.
378
Let v(r) = r**2 + 8*r + 4. Suppose k + 5*g = 4*k - 40, 0 = -4*k - 4*g + 32. Calculate the smallest common multiple of k and v(-8).
20
Suppose 2*q + 10 = 3*z, 5*z - 8 = 4*q + 10. Suppose -t = 3*m + 20, -5*t - 3*m + 3 = 43. What is the lowest common multiple of (-1)/(-5) - 34/t and z?
14
Calculate the common denominator of (-329)/35 + 9 + (-401)/(-390) and -97/52.
156
Suppose -1835 - 1674 = -29*r. Calculate the lowest common multiple of 55 and r.
605
Suppose 6*c - 8*c = -14. Let o = c + -1. Suppose 0 = 4*b - 3*j - o - 11, -5*j = 5*b - 65. What is the lowest common multiple of 11 and b?
88
Let g = -34 + 38. Suppose g*y = 5*y - 46. Calculate the lowest common multiple of 12 and y.
276
Suppose -4*p = -7*p + 18. Find the common denominator of -37/7 and (-2424)/(-462) + p/(-14).
77
Let w(q) = -3*q - 24. Suppose 5 = 5*y, 5*o + 40 = -5*y - 15. Let c(u) = 11*u**2 - 2*u + 1. Calculate the lowest common multiple of w(o) and c(1).
60
Suppose 18*o - 160 - 164 = 0. What is the lowest common multiple of o and 33?
198
Suppose 4*z = -41 - 19. Let h be 216/8*(-4)/(-18). What is the least common multiple of 2 and 1*h*(-10)/z?
4
Let n(v) = 4*v**2. Let a be n(-5). Suppose 5*f = 2*g + 96, -a = -3*f - 4*g - 32. Suppose 5*u - 37 = 63. What is the lowest common multiple of u and f?
20
What is the common denominator of ((-5)/(-45))/((-10)/165) and -115/816?
816
Let h = 63 + -39. What is the least common multiple of (-2)/(-11) - (-3406)/143 and h?
24
Calculate the common denominator of -58/3 and 879/126 + (-51)/17.
42
Suppose -41*i + 39*i = 3*p - 50, -32 = -2*p - 2*i. Suppose 0*t + 4*t - 48 = 0. What is the smallest common multiple of t and p?
36
Let p = 47 - 27. Suppose -2*n = -7*n - 65. Let k = n + 25. Calculate the smallest common multiple of k and p.
60
What is the lowest common multiple of 6 and 9/15 + 588/20?
30
Let i = 54 + -52. Let r(z) = -3*z - 6. What is the least common multiple of r(-6) and i?
12
Let s = -30 + 34. Calculate the common denominator of (3/s)/(1/(260/(-12))) and 113/6.
12
Suppose 3*s - 13 = -5*c, 2*c + 7 = 2*s - 7. Calculate the smallest common multiple of s and 6.
6
Let i be ((-8)/65862)/(12/18). Let n = 5323837/43908 - i. Let s = n - 122. Calculate the common denominator of s and -77/2.
4
Let m(s) = 6*s - 16. Let y be m(11). Let l be -2 - -3 - (-1 + 2). Suppose l = 4*t - 30 - y. Calculate the smallest common multiple of t and 14.
140
Let t(v) = v**3 - 31*v**2 + 40*v - 273. What is the smallest common multiple of 54 and t(30)?
54
Let o(y) be the second derivative of y**3/3 + 6*y**2 - 20*y. Calculate the least common multiple of 8 and o(-4).
8
Suppose -4*f + 2 = -6. Let b be (-32)/(-4) + 3 + -1. Suppose 13*j - 33 = b*j. Calculate the least common multiple of f and j.
22
Suppose 2*a - 248 = -3*p, -4*a + 453 - 37 = 5*p. Let c = 43381/66 - 1975/3. What is the common denominator of c and 42*((-6)/20)/(p/25)?
176
Suppose 0 = -14*b + 944 - 174. What is the smallest common multiple of b and 35?
385
Let m(q) = 6*q + 12. Let k be m(-7). Calculate the lowest common multiple of -14*(k/(-21) - 2) and 13.
104
Let i be 126/(-4)*(-26)/39. Suppose -2*b + i = b. What is the lowest common multiple of 18 and 12/4 + -2 + b?
72
Let w = -137/28 + 15/7. Suppose -3*p = 2*b - 2*p + 61, 59 = -3*b + 5*p. What is the common denominator of 5/b*-6*3 and w?
28
Let u be ((-8)/10)/(18/(-45)). Suppose 56 = 2*g + u*g. What is the least common multiple of 20 and g?
140
Let j = -1105045689/200 + 5525217. Let y = 5961/9575 + 22/383. Let v = j - y. Calculate the common denominator of -76/9 and v.
72
Suppose -31*v - 5*q = -36*v + 40, 14 = 2*v - 4*q. Suppose -3*o + 11 = 5*u - o, -3*u - 3*o = -3. What is the lowest common multiple of v and u?
9
Let q be (-2)/(-11) - (-3 - (-191955)/(-33)). Let p = 128125/22 - q. Find the common denominator of p and 0 + (-183)/60 + 0.
220
Suppose l - 2*l - 5*k + 41 = 0, -5*k + 97 = 2*l. Calculate the lowest common multiple of 42 and l.
168
Suppose -5*s - 4*s + 117 = 0. Find the common denominator of (48/(-160))/((-3)/s) and 52/9.
90
Let k = 9281/1130 - 41/5. Let d = 1817/678 - k. What is the common denominator of -56/5 and d?
15
What is the common denominator of -77/50 and ((55/250)/(-11))/(36/6390)?
100
Let g(h) = h**2 - 20*h + 36. Let z be g(18). Suppose z = -k - 4*r + 6 + 18, -2*k - 7 = -3*r. What is the least common multiple of 20 and k?
20
Let i = 739/76 + -75/38. What is the common denominator of 59/3 and i?
12
Let y(o) = -o**3 + 7*o**2 - 5*o - 2. Let i be y(6). Suppose -3*n + i*n = 10. What is the lowest common multiple of 2 and n?
10
Let l(w) = w**2 + w + 6. Suppose -5*h - 473 = -513. Suppose 120 = h*b + 4*b. What is the lowest common multiple of l(0) and b?
30
Suppose 11451 = -i + 2052. Let w = -19417/2 - i. Let f = w + 354. Find the common denominator of 25/2 and f.
2
Calculate the common denominator of -17/6 and (-20)/(-90)*(-65)/54.
486
Let f = -108 + 148. Suppose j - 5*q = 5 - 0, 0 = -2*j - 5*q + 55. Calculate the least common multiple of j and f.
40
Calculate the least common multiple of ((-10)/(-7))/(47/329) and 40.
40
What is the least common multiple of -2 - ((10/5)/2 - 10) and 43?
301
Suppose -9*l = 127 - 1423. Calculate the smallest common multiple of l and 22.
1584
Find the common denominator of 87/28 and 18/27*-2 - 410/84.
28
Suppose -m + 3*f = -6*m, -f - 8 = -m. Let y = 0 + m. Find the common denominator of 29/16 and -3 + 225/42 + y.
112
Let p be (25/20 + -2)/((-1)/364). Let v = 461 + -989/2. What is the common denominator of v and p/120 + (-6)/(-16)?
20
Calculate the common denominator of (-1267)/315 - 16/(-72) and (-14)/(-10) - (0 - 0).
5
Let d be 7 - -5 - 5/1. Suppose 4*f + d = 11. Calculate the lowest common multiple of f and 11.
11
What is the common denominator of (-331)/90 - (-1300)/390 and 29/210?
630
Let c = 33 - 29. Suppose -33 = -7*u + c*u. Calculate the lowest common multiple of 2 and u.
22
Suppose -2*m + 6*m + 3*t = 41, -9 = -3*t. What is the smallest common multiple of 9 and m?
72
Let w be -1669*(0 - 1/(-76)). Let v = -49/38 + w. Calculate the common denominator of v and 13/8.
8
Let t be (-2)/(-1)*(-69)/(-6). Let x = t - 15. What is the lowest common multiple of x/6 + (-6)/(-9) and 3?
6
Suppose 3*x - 135 = -6*x. Let i(g) = 3*g - 37. What is the least common multiple of 8 and i(x)?
8
Let w(d) = 29*d - 249. What is the smallest common multiple of 84 and w(12)?
2772
What is the least common multiple of (-14 + 42/7)*1796/(-16) and 22?
9878
Let o(g) = g**3 - 13*g**2 - 10*g - 40. Calculate the smallest common multiple of o(14) and 52.
208
Suppose -s - 4*k + 12 = k, -2*s + 24 = -3*k. Let d(u) = 6*u + 38. What is the lowest common multiple of s and d(-6)?
12
What is the smallest common multiple of 18 and ((-65880)/(-1708))/(4/14)?
270
Let j(c) = 2*c**2 + 4*c + 4. Let t be ((-1)/(-3) + 1)*-3. Let b(y) = -y**3 - 4*y**2 + 4*y - 3. Calculate the lowest common multiple of j(t) and b(-5).
20
Let c(j) = -110 - j + 43 + 50. Calculate the smallest common multiple of 2/(-8) - 82/(-8) and c(-25).
40
Let j(h) = 3*h + 2. Suppose 196*d - 76 = 177*d. Calculate the lowest common multiple of d and j(3).
44
Let v be (4/(-6))/(1/954). Let s = 49339/10 - 4929. Find the common denominator of s and (v/(-126))/((-8)/6).
70
Let q = 154/109 + -14255/1526. Let z(y) = -2*y**2 + 15*y + 8. Let x be z(8). Find the common denominator of -2*(-265)/(-110) - x and q.
154
Let k be 5 - 1 - 287/(-7). Let f = k + -25. What is the least common multiple of 40 and f?
40
Let s = 219 + -214. Calculate the least common multiple of s and 8.
40
Calculate the common denominator of -29/26 and 1/(10/4)*(-444)/(-48).
130
Let k = 6469 + -51671/8. What is the common denominator of k and -101/170?
680
Calculate the common denominator of 1804/40 + -3 + 34/10 and 77/34.
34
Let d = 40 - 22. Calculate the least common multiple of d and 8/(-24) + 50/6.
72
Find the common denominator of 53/21 and ((-2064)/1053 + 2)/((-48)/180).
1638
Let u = 3 - 12. What is the common denominator of 55/9 and u/15 + (-222)/(-120)?
36
Find the common denominator of (-131 - -125) + 2/(-8)*52/10 and (-151*(-1)/6)/8.
240
Let f = 410 - 1077. Let g = -12017/18 - f. Let x = 495945/22 + -22547. Find the common denominator of x and g.
198
What
|
{
"pile_set_name": "DM Mathematics"
}
|
2*u + 4*f - 230 = 0. Suppose 3*g + u = -0*t + t, -3*g = 3*t - 363. Let h = t + 1. What is the hundreds digit of h?
1
Suppose -216 = 5*b + 669. Let r be -4*5/(-4) - b. Let t = -107 + r. What is the tens digit of t?
7
Suppose -45 = -27*t + 90. Let w(f) = 2*f**3 - 3*f**2. Let k be w(2). Suppose 3*y = 3*v - 339, -k*v + 0*y + 454 = -t*y. What is the units digit of v?
1
Suppose 0 = 641*t - 521*t - 80400. What is the units digit of t?
0
Let h = 729 + -855. Let u = 605 + -351. Let x = h + u. What is the hundreds digit of x?
1
What is the thousands digit of 7310 - (144/(-648) + 166/18)?
7
Suppose 2080 - 1031 = c - 3560. What is the units digit of c?
9
Let s be (-50)/250 + 56/5. Let z(c) = c**3 - 9*c**2 - 5*c - 5. What is the tens digit of z(s)?
8
Let z(r) = -5*r + 20*r + 1765 - r**2 + 13*r**2 - 1844. What is the units digit of z(8)?
9
Let p(w) = 344*w**2 - 21*w + 71. Let h be p(3). Suppose 2*d - 1159 = -2*c + 403, -4*d + c = -h. What is the units digit of d?
7
Suppose -3*q + 2*i = -67530, 712*i = 5*q + 717*i - 112550. What is the thousands digit of q?
2
Suppose 0 = -76*j + 74*j + 4*u + 4558, 3*j = -u + 6823. What is the units digit of j?
5
Suppose 0 = 2*h + 5*v + 60, 0 = 3*h + 5*v + 17 + 63. What is the units digit of (-25)/h + 2894/8?
3
Let y be ((-12)/(-9))/(28/63). What is the hundreds digit of (156/10)/((4 - y)/30)?
4
Let j = 9954 + -9413. Suppose 3*p = 19 + 5. Suppose -p*i = -j - 395. What is the units digit of i?
7
Let s = -702 - -478. Let f = 234 + s. What is the tens digit of f?
1
Let t be (-11 - -13)*22/4. Suppose 4*p - t - 1 = 0. Suppose -a = -20 - p. What is the tens digit of a?
2
Suppose -5*j - y + 429129 = 0, 429121 = 7*j - 2*j - y. What is the thousands digit of j?
5
Let f(h) = 3*h**2 + 65*h + 340. What is the units digit of f(-75)?
0
Let d be 0 + -70*(-18)/(-12). Let g = -112 - d. What is the tens digit of 8660/70 - 2/g?
2
Suppose 11*d + 2120 = 3*d. Let y = -166 - d. Suppose 167 = 3*k - 5*c, 0 = -3*k + 2*c + y + 83. What is the tens digit of k?
6
Let g(t) = 50 + 5103*t + 26 - 5089*t. Let u be g(21). Suppose -4*i + 442 = -u. What is the hundreds digit of i?
2
Let i = 13537 - 7697. What is the units digit of i?
0
Let p be ((96/20)/(9/60))/2. Let w = p - -20. What is the units digit of w?
6
Let c(v) = -v + 8. Let b be c(16). Let x = -8 - b. Suppose -2*l + 2*i + 188 = x, -2*l + 67 = 3*i - 136. What is the units digit of l?
7
Let i = -2288 - -3383. Suppose 4*f - 4362 = -2*t, -i = -f - 54*t + 55*t. What is the tens digit of f?
9
Let q = 10368 + -7250. Let a = -1279 + q. What is the thousands digit of a?
1
Let p(t) = t**2 + 41*t + 282. What is the hundreds digit of p(-47)?
5
Suppose -3*z + 5*z = 5*t - 7, -3*z - 3 = -5*t. Suppose z*a + 76 = 8*a. Let h = a + 42. What is the units digit of h?
1
Let o = -3 + 5. Suppose -f + 4*r = 4 - 6, -r = -o*f + 4. Suppose f*n = -n + 315. What is the hundreds digit of n?
1
Suppose 20 = -31*d - 11. What is the hundreds digit of (44/(-154) - (-8874)/(-7))*d?
2
Suppose 1549*p - 41478 = -2*v + 1545*p, -v - 3*p = -20732. What is the ten thousands digit of v?
2
Suppose -92*x = 2*c - 90*x - 18748, 4*c = 2*x + 37520. What is the hundreds digit of c?
3
Suppose 0 = 3*o + q + 191, -5*o = -0*o - 4*q + 341. Let a = 67 + o. Suppose 3*z + 3 = a*v + 73, 5*z - 4*v = 118. What is the units digit of z?
2
Suppose 0 = -c - 4*p + 8 - 1, -2*c - 2*p + 14 = 0. Suppose -2*k - 285 = -c*k. What is the tens digit of k?
5
Suppose 3*f = -5*x - 203 + 1842, 3*f + 317 = x. Suppose 2*r - x = -g, -g + 11*r = 9*r - 310. What is the units digit of g?
8
Let a(t) = 47*t**3 + 4*t**2 - 6*t + 24. Let v be a(7). What is the tens digit of v/24 + 6/(-48)?
7
What is the tens digit of (-117766)/(-132) + (-10)/(-12)?
9
Suppose 3*w + 3*i = -30, 10*w + 4*i + 45 = 5*w. What is the tens digit of w/(-15) + (-1691)/(-3)?
6
Let c(y) = 227*y + 2. Let o(h) = -228*h - 2. Let t(r) = r**3 - 6*r**2 - r + 27. Let b be t(5). Let m(f) = b*c(f) - 2*o(f). What is the tens digit of m(-1)?
2
Let y be 3/2*(-8)/6 + 6. Let z = 31 - 29. Suppose 0 = -0*s + y*s - 20, 125 = 5*r + z*s. What is the tens digit of r?
2
Suppose 4769 = -o - 5*k + 16138, 5*k = -15. What is the ten thousands digit of o?
1
Suppose -g - 5*r = -7, -4*r = -4 - 0. Suppose 4*b - g = 3*b. Suppose -1 = b*l - 23. What is the units digit of l?
1
Let d(w) = 289*w - 77. Let z(n) = n - 1. Let j(p) = d(p) + 2*z(p). What is the units digit of j(4)?
5
Let n be (3 - 834/(-18))*9/6. Suppose -4154 = -8*m - n. What is the tens digit of m?
1
What is the ten thousands digit of (-1789677)/(-48) + 179/2864?
3
Suppose -2*a - 1630 = -3*w + 1206, -2*w + 3*a + 1899 = 0. Suppose 4*i - 1892 = -5*u + 3*u, -2*i + u = -w. What is the hundreds digit of i?
4
What is the ten thousands digit of (62325/18)/(5/20)?
1
Let f be ((-8)/6 - 13/6)*22. Let a = f + 72. Let k = 55 + a. What is the tens digit of k?
5
What is the tens digit of ((-86198)/(-35))/(12/1320*11)?
2
Suppose 0 = 8*r - 13*r + 3130. Let s be r/8 - (5/4 + -1). Suppose 3*o + s = p, -3*p + 0*p + 4*o + 224 = 0. What is the tens digit of p?
7
Let o(r) = r**2 - 8*r + 16. Let g be o(2). What is the tens digit of 6 + 208 + g - 3?
1
Suppose -4*i = -3*i - 15. Suppose -i*l + 6*l = -2898. What is the units digit of l?
2
Let d(r) = r**3 + 14*r**2 - 17*r + 14. Let j = 32 - 29. Suppose l = -0*l + j*g - 27, 2*l + g = -26. What is the tens digit of d(l)?
4
Let d(k) = -5*k + 14. Let m be d(3). Let z(h) = -473*h**3 - 2*h**2 - 2*h. What is the tens digit of z(m)?
7
Suppose -2*q - 2*s - 4408 = -6*q, 5*q - 5504 = s. Suppose -5*m = -2*y - 1120, 5*m - y - q = -3*y. Let t = m - 81. What is the units digit of t?
1
Let x = 41 - 58. Let y = x + 21. What is the units digit of (0 - 72)/y*(-21)/6?
3
Suppose 40698 = -11*u + 4*u + 128142. What is the units digit of u?
2
Let n(d) = 36*d**3 + 6*d**2 + 3*d + 2. Let c(v) = -36*v**3 - 6*v**2 - 3*v - 2. Let r(j) = 5*c(j) + 4*n(j). What is the tens digit of r(-3)?
2
Suppose 413*i - 102159 = 170*i + 2316906. What is the units digit of i?
5
Suppose -q = -5*q + 40. Let z(w) = w**3 - 11*w**2 + 12*w - 19. Let v be z(q). What is the hundreds digit of -3 + 0 - v*(-106 + 0)?
1
Let j = -1467 + 7629. What is the hundreds digit of j?
1
Let i = 19 - 26. Let n be i + 5 + -3 - -3. What is the tens digit of 53*(-1 + n)*-1?
5
Let a = -101 + 163. Suppose -z = -a + 50. Suppose -z*o + 19*o - 119 = 0. What is the units digit of o?
7
Let q = -33 + 52. Let z = 24 - q. What is the units digit of 2/z - (-516)/10?
2
Suppose 17*u - 18*u + 7184 = 1706. What is the thousands digit of u?
5
Let l(f) = -148*f**3 + 3*f + 4. Let o be l(-1). Let d = o - -339. What is the hundreds digit of d?
4
What is the tens digit of 5852 - (21 - 12) - (-2 + -3)?
4
Let c = -11245 - -29287. What is the hundreds digit of c?
0
Let o = 7874 + 17068. What is the ten thousands digit of o?
2
Let a = 24650 - 16577. Suppose -51*b = -64*b + a. What is the tens digit of b?
2
Suppose -42*r = 3*z - 39*r - 21552, 0 = 2*z - 3*r - 14378. What is the units digit of z?
6
Let s = 6 - 3. Suppose s*n + 2*p - 206 = -0*p, -4*p = -n + 78. What is the tens digit of n/14 + (1 - -130)?
3
Let f = -5749 + 16383. What is the tens digit of f?
3
Let s = 602 + -202. Let y = -1327 + 1409. Suppose y - s = -3*p. What is the tens digit of p?
0
Let p = -2425 + 3617. Suppose 0 = 4*y + 4*h - p, -26 = y - 5*h - 354. What is the hundreds digit of y?
3
Suppose 0 = -7*t + 14*t - 4200. Let g = t - 344. What is the tens digit of g?
5
Let m = 204 + -620. Let v = -381 - m. What is the tens digit of v?
3
Suppose 0 = -4*m - 3*q + 22, -m - 3 = q + 4*q. Suppose 0*t = -4*j - t - m, -5*t + 1 = 2*j. What is the units digit of (-2 - -3)/(j/4) + 164?
2
Suppose 0 = f + 4*k - 33, 2*f - k = 47 + 37. Let z(v) = 7*v + 5. Let w be z(-4). Let j = f + w. What is the tens digit of j?
1
Suppose 4*c = -4*f + 55492, 170*c - 173*c + 41640 = -4*f. What is the tens digit of c?
7
Suppose -4*m + 3*l + 424 = 0, -l + 6*l + 432 = 4*m. Let a = -206 + m. What is the hundreds digit of (4 - 3)*-2 - a?
1
Let q be (6 - 0)*(3 + 10/(-4)). Suppose q*h + 15 = 5*v, 2*h = -5*v + 6 - 16. What is the units digit of (-6 - -17)*(3 + v)?
3
Suppose -25*i + 17 = -408. Suppose -4533 = -i*r + 1995. What is the tens digit of r?
8
Suppose 0 = -249*a + 2497233 - 533370. What is the thousands digit of a?
7
Let q(l) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
Let k be c(-12). Let g(n) = 7*n**2 + 3*n + 4. Let t(z) = 9*z**2 + z + 3. Let a(d) = -4*g(d) + 3*t(d). Give a(k).
7
Let s(w) = w**3 - 74*w**2 + 66*w + 517. Let z be s(73). Let h(q) = q**2 - 2. Give h(z).
34
Let u(m) = m**3 + 40*m**2 - 42*m - 52. Let g = -19536 + 19495. What is u(g)?
-11
Let o(p) = p**3 + p**2 - 23*p + 21. Let w be o(1). Let s(x) = x + 6. Determine s(w).
6
Let d(u) = 4*u + 47. Let n be d(23). Suppose -k + n = 42. Let t(i) = 61*i - k*i + 58*i. Give t(1).
22
Let w(q) = q**2 - 24*q - 80. Suppose -3*y = 3*x - 69, -3*y = 65 - 53. Give w(x).
1
Let v(n) = n + 12. Let c be -38 + (-8 - -11) - (0 + -4 - 3). What is v(c)?
-16
Let s(w) = -w**3 + 9*w**2 - 7*w - 1. Let y be ((-56)/77)/((-9)/99). Give s(y).
7
Let f(a) = a + 10. Suppose -19*i = -21*i + 4. Suppose -i + 101 = -9*y. Calculate f(y).
-1
Suppose j - 6*j = -140. Suppose 4*a - j = -2*h, 2*h - 7*h + 10 = -2*a. Suppose 4*c + k = 3, 4*c + a - 13 = 4*k. Let m(i) = 9*i + 1. What is m(c)?
10
Let i(s) = -2*s**3 + 6*s**2 - 14*s. Let r(v) = -v**3 + 7*v**2 - 13*v - 1. Let c(x) = 2*i(x) - 3*r(x). Let a = -12 + 2. Give c(a).
-7
Let d(z) = 39*z - 5. Let n = 15131 + -15130. Calculate d(n).
34
Let r = -16 - -17. Let h be r - (3 + (-16)/4). Let p(c) = -c. Let b(f) = 11*f - 3. Let t(o) = -b(o) - 6*p(o). Determine t(h).
-7
Let o(q) be the second derivative of 2 + 1/12*q**4 + 3/2*q**3 + 14*q - 5*q**2. What is o(-10)?
0
Let a(i) = i + 2. Let d be 576/80 + 4/5. Suppose -3*o = -d*o - 10. Let c(m) = -5*m**2 - 7*m - 4. Let p be c(o). Determine a(p).
-8
Let l(v) be the second derivative of v**3/6 + 3*v**2/2 + 367*v. Let p be 10/(-4)*(-14)/35. Suppose p - 19 = -6*i. Give l(i).
6
Let w(d) be the second derivative of -d**4/12 + d**3/6 + 13*d**2/2 - 4322*d. Calculate w(3).
7
Let t(q) be the first derivative of -q**4/4 + 3*q - 1. Suppose 3*s = 3*m, -15*s = -11*s - 8*s + m. Calculate t(s).
3
Let k be (2/(-6))/((-7)/21). Let f(g) = -k - 11 + g - 5 + 23. Determine f(-10).
-4
Let m(x) = -3*x**2 - 7*x - 9. Let b(h) = -4*h**2 - 6*h - 8. Let p(v) = 4*b(v) - 5*m(v). Suppose -2222*k + 2271*k = 490. What is p(k)?
23
Let x(j) = j + 6. Let r(v) = v**3 + 28*v**2 - 4*v - 107. Let p be r(-28). Suppose 25 = -p*t - 10. Calculate x(t).
-1
Let t be -9 + (126 + -127)/(2/(-20)). Let l(a) = -8*a**2 + a + 1. What is l(t)?
-6
Suppose 7*m - p = 57, 5*p + 0 = -4*m + 27. Let j(k) = -35*k + 281. What is j(m)?
1
Let s(g) = g + 689. Let u(p) = -111. Let d(j) = -s(j) - 6*u(j). Calculate d(-11).
-12
Let g be 1 + 24/8 + 7. Suppose i + i = 3*v, 0 = -v - 3*i + g. Let u(b) = -b**2 + 2*b + 1. Calculate u(v).
1
Let f(n) be the second derivative of -n**5/20 - n**4/6 + n**3/3 + n**2 + n. Suppose b = 3*h + 213, -3*b + 0*b = 2*h - 606. Let s = b + -202. What is f(s)?
-10
Let a(t) = 17 - 243*t**2 - 113*t**2 + 361*t**2 - t. Give a(5).
137
Let r(i) = -i**2 + 7*i - 6. Let v be ((-392)/(-84))/((-1)/(-30)). Suppose 16*f - v = -28. Determine r(f).
-6
Suppose -g = 4 - 2. Let m = -2 - g. Let z(t) = -38*t**3 + t**2 + 26*t + 20. Let w(s) = 41*s**3 - s**2 - 28*s - 22. Let o(q) = 13*w(q) + 14*z(q). Determine o(m).
-6
Let g(l) = 3*l - 10. Let z(k) = 5*k - 15. Suppose 10*u - 62 = -552. Let s be (-1 - u/14)/(1/2). Let w(p) = s*z(p) - 8*g(p). What is w(0)?
5
Let d(q) = -3*q**2 - 8*q - 5. Suppose -5*r = -5*w - 90, 3*r + 3*w - 44 = w. Suppose 44 + 36 = -r*u. What is d(u)?
-40
Let f(g) = -49 + 94 - 44. Let c(d) = d**2 - 6*d - 2. Let h(l) = c(l) - 3*f(l). Let u be 54/8 - 3/(-12). Give h(u).
2
Let x(l) = l**3 - 26*l**2 + 24*l + 23. Let y = -453 - -478. Determine x(y).
-2
Let h be (-11 + 13)/(4/10) - 1. Let k(c) = 2 + 4 - 8 + h + c. What is k(1)?
3
Let g(y) be the second derivative of -y**2/2 + 7*y. Let t(d) be the third derivative of d**4/12 - 5*d**3/6 - 7*d**2. Let c(f) = -4*g(f) + t(f). Give c(-4).
-9
Let n(v) be the first derivative of -v**2 + v**2 + 132 - v**2 + 11*v + 8*v + 0*v. Give n(7).
5
Let v(o) = -o - 12. Suppose -2*x + 5*b = -5, -3*x = 2*x + 3*b + 3. Suppose 4*s - 12 = x, -3*l - 5*s + 5 = 8. Determine v(l).
-6
Let z(o) = -o**2 - 7*o - 6. Let k = 185 + -123. Suppose k*x + 45 = 53*x. Give z(x).
4
Let n(f) be the second derivative of -f**5/20 + 5*f**4/12 - f**3/2 + 6*f**2 - 559*f. What is n(5)?
-3
Suppose 72*r - 12 = 71*r. Let u be (3/r)/((-8)/(-32)). Let m(q) = -1. Let p(x) = -2*x**2 + 4. Let j(w) = -3*m(w) - p(w). What is j(u)?
1
Let d(z) = 27*z**3 - 37*z**2 + 40*z - 4. Let l(b) = -11*b**3 + 20*b**2 - 21*b. Let n(w) = -2*d(w) - 5*l(w). Give n(25).
8
Suppose -40 = 5*a + 5*y, -144 + 154 = -2*a - 5*y. Let f(z) = z**3 + 9*z**2 - 11*z - 4. Give f(a).
6
Let c(b) = b + 115. Let h(x) = -36*x - 690. Let o(q) = -6*c(q) - h(q). Suppose v = -v + 2. Give o(v).
30
Let z(s) be the first derivative of -3*s**2 - 134 - 1/3*s**3 + 0*s. What is z(-4)?
8
Let w(s) be the third derivative of s**6/120 + 7*s**5/30 + 5*s**4/12 - 8*s**3/3 + 28*s**2 + 24*s. Determine w(-13).
23
Suppose 3*y + 22 = 52. Let x(t) = -53*t + 23*t + 31*t + 7. What is x(y)?
17
Let r = 984 + -980. Let w(n) be the third derivative of 0*n**3 + 12*n**2 + 0 - 1/24*n**r + 0*n. What is w(5)?
-5
Let d(f) = -7*f**3 - 5*f - 5. Let y(v) = 0 - 1 - 2*v + 10*v - v**3 - 9*v. Let n(b) = d(b) - 6*y(b). Suppose 8*s - 3*s = 5*r + 10, 3 = -2*r + s. What is n(r)?
1
Let y(w) = -8357 + 3*w - 8367 + 16735. Calculate y(-5).
-4
Let k(i) = -22*i**3 + 26*i**2 - 23*i - 103. Let f(x) = 3*x**3 - x**2 + 4*x + 1. Let d(v) = -7*f(v) - k(v). Calculate d(19).
1
Let c(i) = -20*i + 53. Let w(k) = -384*k + 1011. Let v(q) = 39*c(q) - 2*w(q). What is v(3)?
9
Let f be (-3)/(-6) + (-5)/(50/(-5035)). Let n = 513 - f. Let i(x) = -x**2 + 6*x + 7. Determine i(n).
-20
Let p(k) = -4*k + k + 1 - k**2 - k. Suppose -21 = 159*s - 156*s. What is p(s)?
-20
Let v be 4/((-28)/(-91)) - (41 - 16). Let x(b) = b**3 + 13*b**2 + 6*b - 75. What is x(v)?
-3
Let n(z) = -5*z**2 + 47*z + 3. Let w(b) = 2*b**2 - 26*b - 2. Let x(s) = -3*n(s) - 7*w(s). Give x(-41).
5
Let f(r) = -1518*r**2 + 6*r - 7*r + 764*r**2 + 753*r**2 - 1. Calculate f(2).
-7
Let u be (-684)/117 - 2/(-39)*-3. Let w be 2 - (2/(-1) + 2 - u). Let z(y) = y + 2. Let s(p) = -2*p - 4. Let v(q) = 2*s(q) + 5*z(q). Give v(w).
-2
Let h(m) be the third derivative of -3*m**5/40 + m**4/4 + 175*m**3/6 - 58*m**2. Let j(t) be the first derivative of h(t). What is j(5)?
-39
Let l = 18 - 8. Let t(i) = 11*i**2 - 88*i + 92. Let y(m) = 5*m**2 - 40*m + 41. Let f(v) = -9*t(v) + 20*y(v). What is f(l)?
12
Suppose -21*o + 24*o + 75 = 0. Let x be ((-2)/5)/2 + (-55)/o. Let m(d) = 7*d - 5*d + 3*d - 1 + x*d - 2*d**2. Determine m(5).
-16
Let r(p) = 287*p**2 - 278*p - 286*p**2 + 276*p - 5. Calculate r(8).
43
Suppose 0 = -23*u + 30 + 108. Let s(n) = 4*n - n - 2735 - u*n**2 + 2732 + n**3 - n. What is s(6)?
9
Let l be 0 - (-14 + 2 + -4). Let b = -20 + l. Let w(h) be the second derivative of -h**5/20 - h**4/3 - h**3/2 - 5*h**2/2 + 3*h - 13. Give w(b).
7
Let f(u) = 7*u**3 - 2*u - 1. Suppose -8*w = -5*w + w. Suppose -c + l = w, -c - 4*l + 18 = 4*c. Let s = c - 3. Give f(s).
-6
Let y(g) = 2*g - g - 4 - 8*g + g + 5*g. Determine y(2).
-6
Let l(r) = -3*r**2 + 6 + 21 - r**3 - r**2 + 11 - 68. Determine l(-6).
42
Suppose -4*x - 33 = -k, 33*x - 5*k + 60 = 28*x. Let z(c) = -c - 3. What is z(x)?
4
Let k = -88 + 95. Let v(i) = 6*i + 6. Let a(h) = 5*h + 5. Let q(o) = -7*a(o) + 6*v(o). Let z(s) = 3*s - 6. Let l(f) = 2*q(f) - z(f). Determine l(k).
1
Let n(v) be the second derivative of v**5/60 - v**4/12 - 67*v**2/2 - 39*v - 2. Let m(r) be the first derivative of n(r). Determine m(2).
0
Let s(q) = -q**3 - 7*q**2 - q - 4. Let c = -80 - -80. Suppose 5*d - 15 = c, -3*d = -2*j - j - 30. What is s(j)?
3
Let p(x) = -6*x**2 + 4*x**3 - 3*x**3 + 0 - x**2 + 1. Let g be p(7). Let l(u) = 13*u**2 + 27*u**2 - u - 41*u**2 + 23*u**2. Determine l(g).
21
Suppose 2*v + 432 = -6*v. Let d = 55 + v. Let a = d - 2. Let s(w) = -6*w**2. Calculate s(a).
-6
Let u(n) = 8*n + 121. Suppose 0 = p + 3*z - 33 + 59, 184 = -12*p - 4*z. Determine u(p).
9
Let b(g) = -7*g - 25. Suppose -5*a + w = 39, 0 = -73*a + 76*a - 4*w + 20. Calculate b(a).
31
Let k be 42/2 + 612/(-51). Let l(p) = p**2 - 6*p - 1. Give l(k).
26
Let a(w) = -w**2 - w - 1. Let u(b) = -b**3 + 4*b**2 + 3*b + 5. Let f(o) = a(o) + u(o). Let i(t) = -t**2 - 10*t - 20. Let v be i(-4). Determine f(v).
-4
Let v(c) = -c**3 + 9*c**2 - 9*c - 4. Let z
|
{
"pile_set_name": "DM Mathematics"
}
|
41. Let d(o) = o. Calculate u(d(n)).
-108*n**2 + 6*n + 41
Let u(q) = 34*q + 2. Let s(w) = -508*w. What is u(s(o))?
-17272*o + 2
Let q(k) = -k. Let x(t) = -208*t**2 - 8*t. Let i(b) = -625*b**2 - 22*b. Let m(z) = -4*i(z) + 11*x(z). Calculate q(m(n)).
-212*n**2
Let v(k) = 7*k - 1597. Let p(x) = x**2. Calculate v(p(t)).
7*t**2 - 1597
Let o(s) = -38*s. Let x(u) = -44688*u. Determine o(x(v)).
1698144*v
Let d(z) = z**2. Let o(y) = -18*y - 12*y**2 - 19*y**2 + 38*y - 19*y. What is d(o(x))?
961*x**4 - 62*x**3 + x**2
Let a(b) = b**2 - 7*b - 7. Let m(k) = -2*k - 2. Let d(x) = 2*a(x) - 7*m(x). Suppose 5*l = -2*l. Let z(h) = -2*h + 9*h + l*h - 3*h. What is d(z(f))?
32*f**2
Let l(b) = 7*b. Let x(a) be the second derivative of -a**6/360 + 2*a**4/3 - 8*a. Let n(s) be the third derivative of x(s). Determine l(n(m)).
-14*m
Let v(g) = 53 + 55 - 171 - 7*g + 63. Let u(s) = 2*s. Give u(v(o)).
-14*o
Let j be 1/(-8) - (-4)/32. Let h(o) be the third derivative of 0*o + 0 - 1/12*o**4 + j*o**3 + o**2. Let t(x) = x**2. Determine t(h(m)).
4*m**2
Let t(c) = -15*c - 2. Let o(y) = 30*y + 5. Let b(s) = 2*o(s) + 5*t(s). Let x(z) = 9*z - 6*z - 2*z. Give b(x(f)).
-15*f
Let q(v) = v. Suppose n + 0 - 4 = 0, -y - n + 6 = 0. Suppose -12 = 4*z + 4*f, f + 18 = -z - 3*f. Let u(t) = 4*t**y + 4*t**2 - 4*t**z. Determine q(u(k)).
4*k**2
Let a(h) = -101*h**2 - 22*h - 1. Let j(z) = z. Give a(j(q)).
-101*q**2 - 22*q - 1
Let o(b) = -10*b. Let a(m) = 159 + m - 159. Let x(s) = -15*a(s) - 3*o(s). Let c(n) = 2*n**2. Give x(c(q)).
30*q**2
Let x(h) = -26*h. Let i(j) be the third derivative of j**4/24 + j**2 - j. What is x(i(r))?
-26*r
Let t(m) = 7*m. Let a(i) = -i**2 + 15*i - 2. Determine t(a(x)).
-7*x**2 + 105*x - 14
Let f(c) = 2*c**2. Suppose -2*j + 4*q = 26, 1 + 0 = 3*j + 4*q. Let d(x) = x + 7. Let z be d(j). Let n(o) = -o**z + o**2 + 5*o**2 - 6*o**2. Determine n(f(u)).
-4*u**4
Let m(h) = -8*h**2 - 48. Let v(d) = 38*d**2. Calculate m(v(y)).
-11552*y**4 - 48
Let o(j) = 2*j**2. Suppose 0 = 4*v - 4 - 4. Suppose v = -l + 4. Let g(h) = 2 + 0 - 7*h**2 - l. Give o(g(q)).
98*q**4
Let n(w) = -w**2 + 12*w**2 + 19*w**2. Let l(z) = z**2 + z - 1. Let p(x) = 7*x**2 + 6*x - 6. Let q(g) = 6*l(g) - p(g). Determine n(q(c)).
30*c**4
Let p = 45 + -42. Let m(l) = p*l + 6*l - 5*l. Let b(a) = -3*a**2 + 0*a**2 + 4*a**2. Calculate b(m(n)).
16*n**2
Let x(q) = -2*q**2 - 69497. Let s(l) = -80*l. Calculate x(s(k)).
-12800*k**2 - 69497
Let g(s) = -4*s**2 + 3*s - 3. Let u(w) = w**2 - w + 1. Let y(i) = g(i) + 3*u(i). Let f(r) be the second derivative of 5*r**4/12 + 7*r. Calculate y(f(l)).
-25*l**4
Let x(q) = 5*q + 4. Let f(z) = 11*z + 9. Let a(m) = -4*f(m) + 9*x(m). Let b(j) = -4 - 27*j + 3 + 0. What is a(b(c))?
-27*c - 1
Let v(d) = -30*d**2. Let y(r) = 3*r**2 - 55*r + 3. Determine y(v(q)).
2700*q**4 + 1650*q**2 + 3
Let j(n) = -8*n**2 - 8*n**2 + 28*n**2. Let b(z) = 17*z. Let w(s) = -2*s. Let q(g) = 2*b(g) + 18*w(g). What is j(q(t))?
48*t**2
Let v(w) = 375659*w**2. Let r(p) = -4*p. Give v(r(y)).
6010544*y**2
Let t(w) = 2*w. Let p(q) be the third derivative of 13*q**8/20160 + 13*q**5/60 - 4*q**2. Let u(r) be the third derivative of p(r). Give t(u(x)).
26*x**2
Let k(a) = a. Let o be ((-2 - 4) + -3)*1/(-3). Let v(m) be the third derivative of 2*m**2 + 0 + 0*m**o - 1/4*m**4 + 0*m. Give v(k(s)).
-6*s
Let v(s) = s - 1. Let b be v(3). Let h be (16/(-40))/(b/(-40)). Let q(n) = -4*n + 11 - 11 + h*n. Let y(m) = 3*m. Determine q(y(i)).
12*i
Let o(v) be the third derivative of -v**5/20 - 19*v**2. Let q(m) = -3*m + 8*m - 3*m. Calculate q(o(h)).
-6*h**2
Let m(l) = 8*l**2 + 12*l + 6. Let r(i) = -2*i**2 - 2*i - 1. Let n(q) = -m(q) - 6*r(q). Let t(d) = -10*d - 1. Give t(n(z)).
-40*z**2 - 1
Let p(k) be the first derivative of k**2/2 + 1737. Let h(n) = -5*n + 11*n + 12*n. Give h(p(l)).
18*l
Let y(l) = 704*l**2. Let j(c) = -268*c + 2. Give j(y(p)).
-188672*p**2 + 2
Let h(p) = -6*p. Suppose 28 = 16*u - 12*u. Let z(w) = 3*w. Let j(n) = 2*n. Let t(o) = u*j(o) - 5*z(o). Calculate h(t(d)).
6*d
Let j(m) be the first derivative of m**2/2 + 276*m + 279. Let x(l) = 2*l**2. What is j(x(s))?
2*s**2 + 276
Let t(p) = 6*p**2. Let a be (2/4)/((8 - 14) + 21). Let x(s) be the third derivative of 0*s + 4*s**2 + 0 + 0*s**3 + a*s**5 + 0*s**4. Determine x(t(z)).
72*z**4
Let s(n) = -2*n**2. Let l(g) = -5*g - 114 + 230 - 116. What is l(s(p))?
10*p**2
Let b(z) = 2*z. Let y(l) be the first derivative of -11*l**2/2 - 3*l + 309. What is y(b(k))?
-22*k - 3
Let i(m) be the second derivative of -59*m**4/12 + 32*m. Let g(l) = -l. Calculate g(i(z)).
59*z**2
Let q(o) = 4*o + 2*o + 7*o + 9*o + 16*o. Let p(w) = -7*w**2. What is q(p(d))?
-266*d**2
Let q(x) = 6*x. Let t be 3/(-4) - (-19 - (-1290)/72). Let b(s) be the second derivative of t*s**3 + 0*s**2 + 0 - s. Give q(b(o)).
12*o
Let b(g) = 57*g**2. Let a(m) = -3*m + 25. Let w(j) = 4*j - 30. Let c(q) = 6*a(q) + 5*w(q). Determine c(b(n)).
114*n**2
Let m(d) = -d**2. Let y(l) = l**3 + 10*l**2 - 14*l - 1. Let u be y(-11). Let v(k) = u - 17 - 3*k - 15. What is m(v(f))?
-9*f**2
Let k(b) = b**2. Let z(t) = -21*t. Let d(i) = 12*i. Let s(r) = 5*d(r) + 3*z(r). Determine k(s(u)).
9*u**2
Let m(k) = 515*k**2. Let w(u) = 344*u**2. Let g(c) = -5*m(c) + 7*w(c). Let s(o) = -2*o**2. Determine g(s(d)).
-668*d**4
Let o(f) be the first derivative of 0*f + 4/3*f**3 - 7 + 0*f**2. Let u(r) be the second derivative of r**3/3 + 5*r. Give o(u(c)).
16*c**2
Let g(v) = -43*v. Let p(m) = 3*m - 6. Let j(h) = 12*h - 27. Let s(l) = 2*j(l) - 9*p(l). Give g(s(r)).
129*r
Let m(g) be the second derivative of g**4/12 - g + 7. Let k(y) = 19*y**2 - 2. Let n(r) = -189*r**2 + 21. Let l(w) = -21*k(w) - 2*n(w). Give l(m(p)).
-21*p**4
Let b(r) = 3*r**2 + 2*r + 1. Let z be b(-2). Let o(m) = -z*m + 11*m + 3*m. Let c(x) be the second derivative of x**4/6 + 2*x. Determine o(c(w)).
10*w**2
Let k(t) be the third derivative of -t**5/60 + 54*t**2. Let a(b) = -8*b. Give a(k(j)).
8*j**2
Let q(n) = 103*n - 97*n + 1 + 38. Let u(s) = s**2. Give q(u(v)).
6*v**2 + 39
Let y(p) = 175*p. Let o(w) = w**2 + 2*w + 2. Let q(x) = -3*x**2 - 5*x - 5. Let c(j) = 5*o(j) + 2*q(j). Determine c(y(t)).
-30625*t**2
Let n(f) = -214*f. Let s(x) = -2*x + 29 - 29 + 0*x. What is s(n(r))?
428*r
Let g(h) = 2*h. Let p(s) = 267*s**2 + 176*s**2 - 333*s**2. What is g(p(j))?
220*j**2
Let v(a) = 2*a - 10. Let w(k) = k**3 - 9*k**2 - 3*k + 7. Let i be w(9). Let u(j) = -j + 3. Let y(m) = i*u(m) - 6*v(m). Let b(n) = 4*n**2. Calculate y(b(c)).
32*c**2
Let p(h) = h. Let g(s) be the third derivative of -s**6/240 - 19*s**4/24 - 2*s**2. Let w(n) be the second derivative of g(n). What is p(w(j))?
-3*j
Let w(z) be the second derivative of z**4/6 - 22*z. Let g(y) = -14*y**2 - 2*y. Let s(r) = -140*r**2 - 21*r. Let o(k) = 21*g(k) - 2*s(k). What is o(w(x))?
-56*x**4
Suppose -4*o = -0*o. Let v(h) = -h + o*h + 6*h - 3*h. Let w(q) = 11*q**2. What is w(v(z))?
44*z**2
Let t(n) be the second derivative of -5*n**3/2 + 2*n**2 + 764*n. Let a(s) = 2*s**2. Determine a(t(p)).
450*p**2 - 240*p + 32
Let v(s) = 2*s**2. Let p(u) = 89307*u. What is p(v(l))?
178614*l**2
Let b(p) = -p**2. Let r(k) = -95*k - 1302. Determine r(b(y)).
95*y**2 - 1302
Let c(p) = 18*p**2. Let x(t) = t**2 + 88173. Give x(c(d)).
324*d**4 + 88173
Let c(w) = w**3 - w**2 + 2*w. Let g be c(1). Let h(k) = -4*k**g + 5*k**2 - k**2 + 2*k**2. Let p(q) = -35*q. What is p(h(l))?
-70*l**2
Let a be 191/7 + (-18)/63. Let x = 33 - a. Let m(l) = 4*l**2 + 3*l**2 - x*l**2. Let k(j) = -2*j. Calculate k(m(t)).
-2*t**2
Let h(b) = -361221*b**2. Let x(p) = -3*p. What is x(h(s))?
1083663*s**2
Let f = -23 - -68. Let d(t) = 47*t - 95*t + f*t. Let p(b) = -10*b. Determine p(d(g)).
30*g
Let v(z) = 377*z**2. Let l(j) = 89*j. Determine v(l(n)).
2986217*n**2
Let m(t) = -3*t**2 + 0*t**2 + 4*t**2 - 2*t**2. Suppose d = -2*z, 2*z + 4*d = z - 14. Let s(j) = 6*j**z - j**2 - 11*j**2 + 7*j**2. Determine s(m(v)).
v**4
Let h(l) = 14*l**2. Let y(v) = 4*v. Let x be (-10)/25*-5 + 3. Let w(p) = -7*p. Let r(i) = x*y(i) + 3*w(i). Determine r(h(s)).
-14*s**2
Let v(a) = 56*a**2. Let q(t) = -13*t - 4. Calculate q(v(c)).
-728*c**2 - 4
Let u(c) = 3*c**2 - 6*c + 30. Let q(y) = -y + 5. Let o(j) = 6*q(j) - u(j). Let n(m) = 17*m**2 + m. Give n(o(r)).
153*r**4 - 3*r**2
Let x(s) = -2*s**2 + 137*s**2 - 11*s**2 - 36*s**2. Let z(r) = r*
|
{
"pile_set_name": "DM Mathematics"
}
|
6*u + 11. List the prime factors of c(5).
881
List the prime factors of (19 - -5365) + (-2 - -1).
7, 769
Let f(s) = -s. Let l(w) = -w**2 - 16*w - 2*w - 14 - 8 + 5. Let o(u) = 6*f(u) - l(u). What are the prime factors of o(-12)?
17
Let k be (-1 - (-1 - -3))/1. Let u(a) = -36*a**2 - a. Let l(j) = -36*j**2 - j. Let x(v) = k*u(v) + 2*l(v). What are the prime factors of x(-1)?
5, 7
What are the prime factors of ((-81)/15*4)/((-4)/30)?
2, 3
Let g be (-1 - (-1 + -1))*-6. Suppose -2*r - 6 = -f - 0, 22 = -3*f - 2*r. Let j = f - g. What are the prime factors of j?
2
Suppose -21*w - 40 = -16*w. Let k(g) = 4*g**2 + 14*g + 29. What are the prime factors of k(w)?
173
Suppose -65 - 65 = -4*u + 2*j, -2*u + 5*j = -53. Let y = 4 + u. What are the prime factors of y?
2, 19
Suppose -2*z = -2*f - 3*f + 2, -f + 6 = z. Suppose 4 + z = 4*m. Suppose -m*t - 17 = -3*t. List the prime factors of t.
17
Let h(w) = 2*w**2 - 5*w + 3. Let n be h(3). Suppose 4*u - 1138 = 5*d, 4*u - 1134 = -3*d + n*d. List the prime factors of u.
2, 3, 47
Suppose -3*p - 3*x - 7330 = -5*p, -18304 = -5*p - 3*x. List the prime factors of p.
2, 1831
Let n(q) = -q**2 - 102*q - 3. List the prime factors of n(-31).
2, 7, 157
Let j(v) = -2 + 108*v + 0 + 1. Let q be j(2). What are the prime factors of 4/6 - q/(-15)?
3, 5
Let f(t) = 3*t - 8. Let l be f(5). Suppose -4*m = -l*m. Suppose z = m, -3*z = -2*j + 34 + 60. List the prime factors of j.
47
Suppose -z + t - 1 = -12, 0 = -4*z - 4*t + 12. List the prime factors of 181/7 + 1/z.
2, 13
Suppose -i = -4*y - 15, 4*y - 13 = 2*i - 31. Let p(v) be the first derivative of v**3 - v**2/2 + 4*v + 57. What are the prime factors of p(i)?
2, 7
Suppose -3113 = -14*a + 27183. List the prime factors of a.
2, 541
Let g(r) = -2*r**3 - 37*r**2 + 3*r + 130. List the prime factors of g(-20).
2, 5, 127
Suppose 2*t - 1813 = -0*y - 3*y, t = -2*y + 1208. List the prime factors of y.
3, 67
Let j = 678 + -251. List the prime factors of j.
7, 61
Let k be -1 - (1 - 3) - -4. Suppose 4*l - t - 305 = 0, -k*t + t = l - 55. List the prime factors of l.
3, 5
List the prime factors of (-1)/((-4)/12 + 1058/3192).
2, 7, 19
Suppose 0*c - 51 = 2*t + 3*c, -3*t = -2*c + 96. Let q be (28/(-5))/(12/t). Suppose q = 3*l - 37. What are the prime factors of l?
17
What are the prime factors of ((-2)/9*3)/((-12)/4050)?
3, 5
Let y(m) = -m**3 + 23*m**2 + 4*m + 25. List the prime factors of y(22).
3, 199
Let p = -23 - -44. Let t = p + -5. What are the prime factors of t?
2
Let i(h) = -57*h + 80. What are the prime factors of i(-15)?
5, 11, 17
Suppose -3*p + 8 + 3 = -v, 5*v - 21 = -4*p. Suppose -4*s - 283 = -h - p*h, -2*h + 103 = -5*s. What are the prime factors of h?
59
Let w(t) = 15 + 3*t + 21 + 11 + 9. What are the prime factors of w(0)?
2, 7
Let l(m) = -m**2 - 17*m - 11. Let v = 5 + -7. Let j be -10 - ((-2 - v) + 2). What are the prime factors of l(j)?
7
Let k = -2027 - -3218. What are the prime factors of k?
3, 397
Let l(g) = -g**3 + 14*g**2 - 8*g + 10. Let b be 9*((-15)/9 - -2). Suppose 0 = b*t - 50 + 11. What are the prime factors of l(t)?
3, 5
Let b = -1760 - -2230. What are the prime factors of b?
2, 5, 47
Let u(l) = 3*l**2 - 7. Let j = 38 + -33. What are the prime factors of u(j)?
2, 17
Let y = -2093 + 3464. What are the prime factors of y?
3, 457
Suppose 0 = -5*c - 2*t + 1161, -4*c + t + 3*t = -940. What are the prime factors of c?
233
Let m(x) = 6*x**2 + 31*x + 33. List the prime factors of m(-26).
7, 67
Let d(c) = c**2 + 3*c - 7. Let l be d(-5). Suppose -2*w + 4*t = 12 + 36, l*w - 4*t + 62 = 0. Let a = -9 - w. List the prime factors of a.
5
What are the prime factors of 7682/18 + (-98)/(-441)?
7, 61
Let g be 2 - (-2 + 2 - 2). Let d(w) = w**3 - w + 79. Let k be d(0). Suppose 4*b - k + 3 = -2*z, 0 = -g*b - 4*z + 68. List the prime factors of b.
3, 7
Suppose 752 = 4*h - 4*k, 572 = 4*h - k - 180. What are the prime factors of h?
2, 47
Let f(x) be the third derivative of x**5/60 + x**4/24 - 17*x**3/6 + 9*x**2. List the prime factors of f(11).
5, 23
Suppose -h + 5*s + 40 = -0*s, 0 = 5*h - s - 176. Let g = 87 - -50. Suppose -4*q = -g - h. List the prime factors of q.
43
Suppose 0 = -2*v - 2*o + o + 584, -874 = -3*v - 2*o. Suppose 3*b - 167 = -5*j + 3*j, -4*j + v = -2*b. What are the prime factors of j?
2, 19
Let f(b) = 33*b - 251. List the prime factors of f(26).
607
Let f be (1 - -5)*(6 + -5). Suppose -f = -3*m, -m = 2*u - 3*m. Suppose 5 = z + 3*n, -u*n - n + 9 = 3*z. What are the prime factors of z?
2
Let m(l) be the first derivative of l**3/3 + 4*l**2 - 2*l - 1. Suppose 0 = 9*u - 4*u + 45. List the prime factors of m(u).
7
Let u(o) = o**3 - 15*o**2 + 4*o + 1. Suppose 40 + 50 = 5*n + 5*a, -3*a + 69 = 4*n. What are the prime factors of u(n)?
61
Suppose 3*r - 1961 = -t, 3*r - 8*r + 3271 = t. List the prime factors of r.
5, 131
Let i = 102 - -220. List the prime factors of i.
2, 7, 23
Let n = 0 - 18. Let k(p) = -p**2 - 21*p - 24. List the prime factors of k(n).
2, 3, 5
Suppose 0 = -2*c + 158 + 156. What are the prime factors of c?
157
Suppose 2*v + 15 - 61 = 0. Suppose -z - z = 5*m + 3, 0 = 2*z - 4*m - 6. Suppose -a = -v - z. What are the prime factors of a?
2, 3
Suppose q - 7 + 2 = 0. Suppose 0 = -q*i - 2*l + 297, -5*l = -3*i + 4*i - 64. List the prime factors of i.
59
Let j = 1108 + -62. List the prime factors of j.
2, 523
Suppose -3*f = -11 - 1, 0 = 4*r + 5*f - 3692. What are the prime factors of r?
2, 3, 17
Suppose 5*b - 10 = x, 5*x - b = 2*b + 16. Suppose x*w - 84 = -o, 4*w - 44 = -0*o + 5*o. List the prime factors of w.
2
Suppose h - 3*w = -4*h + 746, -h - 5*w = -138. Suppose k - 4*y = 87, 181 = 4*k + 3*y - h. What are the prime factors of k?
83
List the prime factors of ((-526054)/249)/((-4)/6).
3169
Let i = 438 + -259. Suppose 5*r - i = 166. What are the prime factors of r?
3, 23
Let q = 82 + -80. Suppose 0 = -5*t + q*x + 1584, 3*x - 4*x - 950 = -3*t. What are the prime factors of t?
2, 79
Let w = -59 + 162. What are the prime factors of w?
103
Let f(k) = -14*k**3 + 9*k**2 - 14*k + 5. Let t(j) = -5*j**3 + 3*j**2 - 5*j + 2. Let w = 10 + -16. Let d(c) = w*f(c) + 17*t(c). List the prime factors of d(-3).
7
Suppose -2*u + 3*u - 4*k = 38, -7 = u + 5*k. Suppose -g = -4*g + u. Let p = -1 + g. What are the prime factors of p?
5
Let r = 1784 + -1138. What are the prime factors of r?
2, 17, 19
Suppose 5*z - 21 = 49. Let h = -12 + z. What are the prime factors of (11 - -5) + (-6)/h?
13
Let z(j) = 3*j**3 - 3*j**2 - 2*j - 3. Let a(h) = h**3. Let y(w) = -5*a(w) + z(w). List the prime factors of y(-3).
2, 3, 5
Let f(x) = 5*x**2 + 2*x + 1. Let m be (2/6)/((-3)/9). Let t be f(m). Suppose -v + t*v - 120 = 0. List the prime factors of v.
2, 5
Let g(c) = 3*c + 17. Let n be g(-8). Let y(s) = s**3 + 9*s**2 + 3*s - 3. What are the prime factors of y(n)?
2, 37
Let m be (4/(-14))/(18/252). What are the prime factors of (-3)/(-6)*m*(-3 + -123)?
2, 3, 7
What are the prime factors of ((-87)/6)/((-3)/714)?
7, 17, 29
Suppose w - 2 = 3. Suppose w*l - 265 = 6*v - 4*v, -2*v = -3*l + 155. List the prime factors of l.
5, 11
Let m(n) = 15*n**2 + n - 1. Let v be m(2). Let z = v + -19. What are the prime factors of z?
2, 3, 7
Let j(t) = 7*t**2 + 0 - 7*t**3 + 3 + 5 - 13*t + 8*t**3. List the prime factors of j(-7).
3, 11
Let l(v) = 14*v - 80. What are the prime factors of l(17)?
2, 79
Let o(g) = g**3 + 5*g**2 + 4. Let f be o(-4). Suppose 3*d = -2*d - f, -2*d - 60 = 2*y. Let v = y - -54. What are the prime factors of v?
2, 7
Suppose 0 = -2*i - 20 + 100. Suppose i = h - s - 3*s, 0 = -2*h - 3*s + 25. What are the prime factors of h?
2, 5
Suppose -148 = -p + 5*k, 2*k = -2*p + 133 + 175. Suppose -6 = -2*s, -4*f = -s - 766 + p. What are the prime factors of f?
2, 7, 11
Suppose -2*l + 52 - 30 = 0. Suppose -410 = -16*y + l*y. List the prime factors of y.
2, 41
Let g = 427 + 164. List the prime factors of g.
3, 197
Suppose -2 + 6 = -4*d. Let v be d + (2 - -1) + -15. Let r = v + 43. List the prime factors of r.
2, 3, 5
What are the prime factors of (-103851)/(-55) + (-6)/5?
3, 17, 37
Let u(i) = -i**2 - 11*i + 6. Suppose d - 5*d - 44 = 0. Let w be u(d). What are the prime factors of w/((-5)/(60/(-8)))?
3
Let l be (-28)/(-3 - 28/(-12)). Suppose 20*g - 18*g = l. List the prime factors of g.
3, 7
Let q be 351/9 + (-2 + 5 - 4). Suppose -3*n +
|
{
"pile_set_name": "DM Mathematics"
}
|
, 2715?
4187
What is the next term in -594, -6007, -20708, -49341, -96550, -166979?
-265272
What is next in 456, 590, 722, 852, 980, 1106, 1230?
1352
What is the next term in -42330, -42328, -42326, -42324, -42322?
-42320
What comes next: 130936, 130935, 130934, 130933, 130932?
130931
What is the next term in 685, 648, 585, 496?
381
What is next in -184798, -184822, -184862, -184924, -185014, -185138, -185302?
-185512
What is the next term in 196, 184, 172, 160, 148, 136?
124
What comes next: -211938, -423875, -635812?
-847749
What is next in -3852100, -3852098, -3852096, -3852094, -3852092?
-3852090
What comes next: -119744, -119749, -119754, -119759?
-119764
What is next in -128, -284, -462, -662, -884?
-1128
What is next in -564, -2267, -5096, -9045, -14108, -20279, -27552?
-35921
What is next in -1581, -6259, -13969, -24639, -38197, -54571, -73689?
-95479
What is next in 24, -72, -238, -492, -852, -1336?
-1962
What is the next term in -186, -149, -44, 165, 514?
1039
What is the next term in -431, -376, -321, -266?
-211
What is next in 1299, 5207, 11725, 20853, 32591, 46939, 63897?
83465
What is the next term in 25656, 25654, 25652, 25650?
25648
What is the next term in 9, -23, -99, -237, -455, -771, -1203, -1769?
-2487
What is next in 1033, 2476, 3919, 5362, 6805, 8248?
9691
What is the next term in 4081, 8245, 12411, 16579?
20749
What comes next: -190, -310, -478, -688, -934?
-1210
What is the next term in 817463, 817462, 817461, 817460, 817459, 817458?
817457
What is next in -12225, -24455, -36687, -48921, -61157, -73395?
-85635
What comes next: -340, -332, -306, -256, -176?
-60
What is the next term in -219, -161, -73, 45, 193?
371
What is the next term in 590, 2345, 5270, 9365?
14630
What is the next term in -1709, -6585, -14631, -25847, -40233?
-57789
What is the next term in 263374, 526747, 790118, 1053487, 1316854, 1580219?
1843582
What is next in 5633497, 5633492, 5633485, 5633476, 5633465, 5633452?
5633437
What is the next term in 37558, 75118, 112678, 150238, 187798, 225358?
262918
What is next in 968, 1001, 1050, 1109, 1172, 1233?
1286
What is the next term in 7, -14, -27, -32, -29, -18?
1
What is next in 246, 1862, 6244, 14772, 28826?
49786
What is the next term in 854, 1618, 2364, 3086, 3778, 4434, 5048, 5614?
6126
What comes next: -92, -269, -714, -1559, -2936?
-4977
What comes next: 422, 834, 1222, 1574, 1878, 2122?
2294
What comes next: 1074111, 2148223, 3222335, 4296447, 5370559?
6444671
What comes next: 240, -9, -754, -1995, -3732?
-5965
What is the next term in 291, 987, 2149, 3777?
5871
What comes next: 1253141, 2506287, 3759435, 5012585, 6265737, 7518891, 8772047?
10025205
What is the next term in 1268, 2527, 3784, 5039, 6292, 7543, 8792?
10039
What is the next term in -2045187, -2045186, -2045185, -2045184, -2045183, -2045182?
-2045181
What comes next: 502, 526, 564, 622, 706?
822
What is next in 1360010, 1360011, 1360012, 1360013, 1360014?
1360015
What is the next term in -30588, -61176, -91764, -122352, -152940?
-183528
What is next in -507, -753, -999?
-1245
What is the next term in 102296, 102278, 102248, 102206, 102152, 102086, 102008?
101918
What is next in -49324, -49291, -49258, -49225, -49192, -49159?
-49126
What comes next: 3205, 3018, 2707, 2272, 1713, 1030?
223
What comes next: -151155, -302336, -453515, -604692, -755867?
-907040
What is next in 231, 278, 119, -252, -841, -1654, -2697, -3976?
-5497
What is the next term in 2034, 8117, 18254, 32445, 50690?
72989
What is the next term in -311, -987, -2123, -3725, -5799, -8351, -11387, -14913?
-18935
What is the next term in -57778, -57780, -57782?
-57784
What is next in -8702, -8686, -8692, -8732, -8818, -8962?
-9176
What is next in 611, 2443, 5501, 9785, 15295, 22031, 29993?
39181
What comes next: -3397, -3465, -3569, -3709, -3885, -4097, -4345?
-4629
What comes next: 30184, 60387, 90608, 120847, 151104?
181379
What is next in -237, -397, -557?
-717
What is next in 13022, 13020, 13000, 12950, 12858, 12712, 12500, 12210?
11830
What is the next term in 74, 276, 816, 1862, 3582, 6144, 9716, 14466?
20562
What is next in 114900, 114899, 114898, 114897, 114896?
114895
What is the next term in 44293, 44302, 44317, 44338?
44365
What is next in -3273, -13247, -29869, -53139, -83057, -119623, -162837?
-212699
What is next in 129, 38, -111, -318, -583, -906?
-1287
What is next in 1087, 2162, 3227, 4282, 5327, 6362, 7387?
8402
What is the next term in 19123, 38250, 57377, 76504, 95631, 114758?
133885
What comes next: -296, -912, -1940, -3380, -5232, -7496?
-10172
What comes next: 344, 395, 496, 671, 944, 1339, 1880, 2591?
3496
What is the next term in 368, 368, 378, 398, 428, 468?
518
What comes next: 2770, 5553, 8342, 11137?
13938
What is the next term in -16663, -16667, -16673, -16681, -16691?
-16703
What comes next: 2008, 3992, 5976?
7960
What comes next: 3383, 3459, 3537, 3617, 3699?
3783
What is next in 386, 807, 1244, 1703, 2190, 2711?
3272
What is the next term in -152, -1279, -4338, -10295, -20116, -34767, -55214, -82423?
-117360
What is next in 10618276, 10618275, 10618274, 10618273?
10618272
What comes next: -1298, -1556, -1814?
-2072
What comes next: 929, 577, -17, -859, -1955?
-3311
What is the next term in -43, -1, 59, 131, 209, 287, 359, 419?
461
What is next in 613498, 613505, 613512, 613519, 613526?
613533
What is the next term in -992, -1112, -1232?
-1352
What is next in 281, 232, -491, -2224, -5303, -10064, -16843?
-25976
What is next in 825, 908, 991, 1074, 1157, 1240?
1323
What is the next term in 1694, 1636, 1578, 1520, 1462, 1404?
1346
What comes next: -1154, -1105, -1008, -851, -622, -309, 100?
617
What comes next: -3136, -6284, -9432, -12580, -15728, -18876?
-22024
What comes next: -5867, -11748, -17631, -23516?
-29403
What is the next term in 4504762, 4504773, 4504798, 4504843, 4504914?
4505017
What is next in -541924, -541929, -541934, -541939?
-541944
What comes next: 811, 1665, 2577, 3553, 4599, 5721?
6925
What is the next term in -1718, -1764, -1840, -1952, -2106?
-2308
What comes next: -23104, -23112, -23126, -23146?
-23172
What comes next: 99, 191, 293, 411, 551, 719, 921?
1163
What is the next term in -2353, -4706, -7059, -9412, -11765?
-14118
What comes next: 46, -65, -174, -281, -386, -489, -590?
-689
What is next in -3420, -7131, -10842?
-14553
What is next in -3, -135, -303, -495, -699?
-903
What is the next term in 1080862, 1080851, 1080826, 1080781, 1080710, 1080607?
1080466
What is the next term in 384, 393, 414, 453, 516, 609?
738
What comes next: -6, -89, -252, -501, -842, -1281?
-1824
What is next in 223, 901, 2031, 3613, 5647?
8133
What is next in 199, 587, 1637, 3679, 7043, 12059, 19057, 28367?
40319
What comes next: -32702, -32706, -32710, -32714?
-32718
What comes next: 4963, 4931, 4905, 4885, 4871, 4863, 4861?
4865
What is the next term in -2824, -5649, -8476, -11305, -14136?
-16969
What is the next term in 1553, 1783, 2167, 2705, 3397, 4243, 5243?
6397
What is next in 2442568, 2442567, 2442566, 2442565, 2442564, 2442563?
2442562
What comes next: -3194, -6342, -9488, -12632?
-15774
What comes next: -314, -617, -920, -1223?
-1526
What comes next: -1805, -3545, -5219, -6827, -8369, -9845?
-11255
What is the next term in -790, -1148, -1506, -1864, -2222?
-2580
What comes next: 295, 369, 591, 1033, 1767, 2865, 4399, 6441?
9063
What is the next term in 504, 542, 594, 666, 764, 894, 1062, 1274?
1536
What is next in -799, -765, -743, -739, -759?
-809
What comes next: -118, -52, 110, 416, 914?
1652
What is next in 1199, 1488, 1777, 2066, 2355, 2644?
2933
What is the next term in -1086, -1863, -2628, -3375, -4098, -4791?
-5448
What comes next: -513, -822, -1133, -1446, -1761, -2078, -2397?
-2718
What is next in 6161, 6169, 6183, 6203, 6229, 6261?
6299
What comes next: 8271, 8251, 8231, 8211, 8191?
8171
What is next in 75557, 75539, 75517, 75491, 75461?
75427
What is next in 813, 849, 905, 975, 1053?
1133
What is next in 7640, 30578, 68816, 122360, 191216, 275390, 374888?
489716
What comes next: 4159, 4168, 4191, 4234, 4303, 4404, 4543?
4726
What comes next: -254, -507, -768, -1037, -1314, -1599?
-1892
What is next in 4781, 9556, 14331, 19106?
23881
What is next in 36, 295, 734, 1359, 2176, 3191, 4410?
5839
What is the next ter
|
{
"pile_set_name": "DM Mathematics"
}
|
40).
4/5
What is ((-18)/(-3))/(1*((-191 - -2) + 6))?
-2/61
-422 - -464 - 330/8 - (54/16 + -2)
-5/8
Calculate ((-9)/(-24))/(36/(-1248)).
-13
(121/((-59895)/5995))/(3/27)
-109
What is (-1)/((((-391)/92)/17)/(-6))?
-24
Calculate 264/54*390/40 + 18/54.
48
Evaluate (-4)/31*(-19747)/182 + 1628/(-116).
-1/29
Evaluate 121542/(-329)*2/20 - 24/420.
-37
What is (11 - (-1989)/(-255))*45/(-2)?
-72
What is 2400/(-192) + 6/4?
-11
What is (2352/63 + -6)/((-100)/(-15) - 6)?
47
Evaluate -2*3*(-7)/63 + 1500/(-2375).
2/57
Calculate (117/351)/((-4)/(-36)).
3
What is 39245/(-319638) + 16/(-88) + (-1)/(-6)?
-4/29
What is 1734/(-153) + -10 + 40/(-15)?
-24
What is (13257/22095)/((-3)/305)?
-61
What is the value of (-4)/55 - 542133/981640?
-5/8
What is the value of (-216)/264*(2*-10 - (-276 - -255))?
-9/11
((-6)/(-14))/(393/19257)
21
Calculate ((-60)/(-80))/(((-135)/(-8))/5)*27/36.
1/6
What is the value of (2/15)/(17666/(-8030))?
-2/33
-21*(-520)/(-728) + -55
-70
What is the value of 10 - (167 + -166)/(3/((-3666)/(-122)))?
-1/61
Evaluate (1624/(-84))/(-58)*(-265 - -1).
-88
What is -9 - (10 + (-16 - 24) - -34)?
-13
Evaluate 4/(-110) - 228/13150280*121.
-1/26
((-8)/(-2) + (3 - 123/18))/(3100/400)
2/93
(12/22)/((90139/424941)/(182/12))
39
What is the value of 45/(-60)*1328/2241?
-4/9
(2/(-16))/((-365)/(-90) - 4)*-40
90
What is (-56)/(-6)*(115*(-37)/(-851) - (0 - 1))?
56
Calculate (13/78)/(((-2588)/144 + 18)/(5/(-4))).
-15/2
Evaluate (451/(-176))/(162/2592).
-41
What is (-11 - -1)*-1 + 8567 + -8617?
-40
Calculate (144/(-1260))/(32/336).
-6/5
What is the value of ((-87680)/2112 + 42)*-3?
-16/11
What is the value of 76*(-23 - (-7395)/323) + 538/67?
2/67
Evaluate 1 + (((-6)/(-2))/(3/7) - (-5 + 0)).
13
What is 208/(-988) + 9891/(-399) + 0/1?
-25
What is the value of (-7 - 4970/(-714)) + (4944/153)/8?
4
Calculate ((-2 - -3) + (-406)/408)/(-332 + 373625/1125).
3/68
Evaluate (688/(-112) + 6)/((-78)/(-84)).
-2/13
What is the value of (-24486)/28567*(167/(-2) - -3)/(3/2)?
46
What is the value of 4 + -2 - (-726)/(-484)?
1/2
What is -9 + 2 + 162/(-27) - -14*1?
1
Evaluate 3040/70*(-1204)/1032*(-6)/(-8).
-38
What is 56*((-105)/(-4) + -26)*-3?
-42
What is the value of -2*((-310)/3100)/(14/(-5) + 2)?
-1/4
((-1)/1)/(660758/5144040 + 4/(-270))
-44/5
What is the value of (-2613)/(-11154) - (-132)/(-484)?
-1/26
What is the value of (255 + -160 - 289) + 156?
-38
Evaluate -30*((-24)/(-5) + (-1)/((-26)/(-156))).
36
Calculate (-122)/(-13) - (39/(-78))/((-362)/36 - -10).
5/13
Evaluate (30/50)/((-2250)/172500).
-46
-107 - (-60 + (-65 - -85))
-67
Calculate (34510/959 - 8) + (-1960)/70.
-2/137
What is the value of (414 + -411)/(18/(-12))?
-2
(28/27)/(5 + (-12257)/3399 + (-2)/33)
7/9
Evaluate 826931/(-20847) + (-6830)/(-174).
-12/29
Calculate 82/68 - (-29*60/4176)/(5/(-14)).
2/51
Calculate -57 + (3 - (-167 + 45)).
68
Evaluate ((19090/138)/(-83))/((70/72)/(-1)).
12/7
Evaluate -256 + 315 - 11295/195.
14/13
Evaluate (113 + 64790/(-570))/(-1 + -1).
1/3
What is the value of 34/221 + (1 - (-23)/(-13))/((-129)/(-473))?
-8/3
What is (10 - 207/21) + 75/(-525)?
0
What is (12502/4606)/(42/30 - (6/(-5))/(-3))?
19/7
What is 12432/(-560)*4/6 - -15?
1/5
What is the value of 672/(1848/11)*((-94)/32 + (-6)/(-3))?
-15/4
What is the value of (54472/142989)/(4/(-30))?
-20/7
Evaluate -1 - ((-477)/72*8 + 192/(-12)).
68
Evaluate (1924/407)/((-2)/(-4)*(-32)/(-264)*3).
26
Evaluate ((-42)/(-609))/((-837)/(-2697)).
2/9
Evaluate (-25)/175 + 3/60 + 278176/4480.
62
Evaluate -3*(-2)/57*1 - (-3823578)/308484.
25/2
Calculate (4/(2*-6))/(14 - 1684/120).
10
Evaluate 11 + 0 + -56*18/1440*(-1 + 7).
34/5
Calculate (-390)/(-3) - (-1106880)/(-5765).
-62
What is the value of (95 + (-457209)/4773)/(-17)?
2/43
Evaluate 1542/11822 + (-6)/(-92)*(-3899)/(-63).
25/6
(-1 - 5)*((-20)/(-3) - 15/45)
-38
What is (-248)/806*(-910)/(-28)?
-10
What is -9 - ((-2680)/220 + 15 + (-6)/(-33))?
-12
Calculate (((-4300)/(-75))/43)/(8/252).
42
Evaluate 50 - 0/(-72 - 3).
50
What is ((-299)/(-42) - (-4)/(-14)) + (-1159 - -1151)?
-7/6
What is the value of -108*83/(-9960) + (-4 - -2)?
-11/10
153/(-357)*12/(72/(-10))
5/7
What is the value of ((-184)/3)/(38652/86967)?
-138
What is the value of (-42)/138*5/(-35)?
1/23
((-6)/3)/((-6)/42) + ((-19411)/28)/47
-3/4
What is the value of ((-1224)/(-11067)*31)/((-16)/(-28))?
6
(80/8 + (-29)/(435/120))*19
38
Evaluate 1232/154 + (45/(-10) - -3)/((-45)/(-420)).
-6
Calculate (-23 - (-3460)/150) + (-357)/(-45).
8
What is the value of 132/(-151536)*-82 + (-827)/14*1?
-59
What is the value of 1280/(-2240)*(-7)/(-10)?
-2/5
Calculate (144/(-30) - -7) + (-18 + 8/4 - -15).
6/5
72/(-22) - (-136)/(-187) - (-291)/73
-1/73
What is the value of 31/589*((-10)/(-12) - 1)/(112/(-672))?
1/19
(21476/182546)/((-1)/10)
-20/17
What is (108/(-99))/(24/396)?
-18
Evaluate (-8)/(360/25) - (-51120)/16200.
13/5
Calculate 11 + (-1323)/(-882)*574/(-78).
-1/26
Calculate (-40 + (-4699)/(-111))/((-2)/5 - (-55)/75).
7
Evaluate (-21 - (-30 + -123) - 14) + 3 + -17.
104
What is 1275/120 + (-2 - 32/4)*1?
5/8
What is the value of (-5656)/18382 - 72/(-65)?
4/5
Evaluate 3*22530/(-96390) - ((-94)/14 - -6).
2/153
Evaluate ((70/(-20))/(-7)*1)/(10/(-15)*-45).
1/60
Evaluate 4 + (-8)/(-108)*-48 - ((-120950)/2250 + 66).
-59/5
Evaluate 10819/698 - 212/8.
-11
What is the value of ((-846)/423)/((-13)/273)?
42
0/(-17 - -6) + -21
-21
Evaluate 24/(-2) + (-1044)/63 + 8/14.
-28
Calculate (-9027)/(-2655) - (2 - 12/(-15)).
3/5
What is the value of (-2 + 1)/((-3)/(-42)) + -4007 + 3941?
-80
Calculate (-186)/(-1 + -2) - (12177/(-4428) + 25/(-4)).
71
Evaluate ((-266)/(-28) + -21 + 8)*1/((-7)/110).
55
-1675 - -1700 - 256/4
-39
Calculate -46 - -71 - (-10 - (-37)/(259/700)).
-65
What is the value of (342/(-228))/(((-30)/(-3))/620)?
-93
Calculate ((-4)/9 - (-120764)/(-684))*((-22)/(-6) + -4).
59
Evaluate 36/(-66)*4/30*-110.
8
What is ((-21 - 623)/28 - 37)/4?
-15
Calculate 14 + 31/(-3) + (110 - 115).
-4/3
What is the value of (1 - 0)*137/((-28085)/9635)?
-47
Calculate ((-2075)/830*(-1)/3*2)/((-65)/273).
-7
What is the value of (578 - 535)/(5 - (114/12 + -4))?
-86
What is the value of ((-74)/(-20))/(451866/5461 - 83) - (-4)/(-110)?
-29/2
What is (2 - (19221/13559 + 3/7)) + 1474/(-15158)?
3/53
What is 2 + (-30)/(-9) - ((-6)/14 + (-3387)/(-7903))?
16/3
What is ((-504)/9)/(41/902*44)?
-28
623*(-72)/1512 - -1*17
-38/3
Evaluate 504/336 + (-1014)/660.
-2/55
What is the value of -19 - ((-7777)/231 + 13)?
5/3
What is (220 + -230)*12*(-3)/(-10)?
-36
Evaluate 6/(-18) - (526/24)/((-233)/(-932)).
-88
Evaluate (-682)/(-330)*((-29)/174 + (-86)/12 + 4).
-62/9
(3/(-18))/(56/(-6300)) + 8*-1
43/4
What is 516/(-14) - (208 - 246)?
8/7
What is (-675)/17820*132/(-300)?
1/60
Evaluate (1*(-2)/7)/((-8349)/(-10626)).
-4/11
Calculate 1 + -176 - -170 - (-1 + 2 + 0).
-6
Evaluate (-3540)/413*(-26 - 1180/(-40)).
-30
What is the value of (2010/(-60) - -32)*12/(-210)*-55?
-33/7
What is the value of ((-5)/220*6)/((-890)/979)?
3/20
Evaluate 13 + -6 + -129 + (-2 + -8)/(480/(-672)).
-108
What is the value of 9456174/920920 + (-51)/5?
3/44
What is the value of -1 - (209/(-9) - (15680/882 + 9*-2))?
22
Calculate 1*-9 + (-19 + 29 - (-42 - -62)).
-19
What is the value of (-54)/(-15)*((-18)/(-84) + 488/336)?
6
(-26 - -20) + (4 - (4 + -3)/1)
-3
What is (((-25)/250)/(5/110) - (-6)/10)*5?
-8
12393/(-2430)*4/6*1
-17/5
What is (35/45)/(-7) - (-753)/(-27)?
-28
What is (1/5)/(1 + 964/(-20))*(-61704)/(-38565)?
-2/295
What is the value of 6 + 117/(-21) - (-22 + 8/(-84)*741)?
93
Calculate 364/195*(8/(-18) + (-3116)/2952).
-14/5
((-118552)/6570 + (-16)/(-36))/(4/(-25))
110
What is (23/(4025/210))/((-99)/30)?
-4/11
Evaluate 5/4*((-131)/(-1310))/((-5)/(-24)).
3/5
205685/(-26540) + (-1538)/(-184)
14/23
What is the value of ((-589)/95 - (-4 + -1))/((-142)/(-1775))?
-15
Calculate 6*(-342)/3240 - 2/10.
-5/6
What is the value of ((-35)/(-175) + (-126)/30)/(16/28)?
-7
Evaluate (2/9 - (-1099)/(-6594)*22/30)*-36.
-18/5
What is the value of -13 + (75200/560)/10?
3/7
Calculate (-4)/(-14) - 563/(358631/(-38038)).
60
What is ((-61172)/(-7460))/(2/10)?
41
What is the value of -3 + 264/9 + (12/(-25))/((-4599)/25550)?
29
What is the value of (-22)/(-2) + 19 + (-9)/((-10989)/(-36482))?
4/33
Evaluate (-291)/57 - (-30 + ((-4550)/(-13))/14).
-2/19
What is (40 + (61
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1016 = 112*t + 115. Let f(w) = 4*w + 5. Let h(u) = -9*u - 10. Determine t*f(p) - 6*h(p).
2*p - 5
Let n(g) = 96*g**3 + 14*g**2 - 8*g + 2. Let v(c) = -c**3 + 2*c**2 - c + 1. What is -n(k) + 8*v(k)?
-104*k**3 + 2*k**2 + 6
Let g(h) = -8*h**3 - 14*h**2 + 9*h + 13. Let r(w) = 3*w**3 + 7*w**2 - 5*w - 7. Calculate -5*g(d) - 9*r(d).
13*d**3 + 7*d**2 - 2
Let f be (-5 - -3)*5/(-2). Suppose 5 = -2*o - f*t, 3*o + t = 5*o + 11. Let u(m) = -14 + 4*m + 13 - 2*m - 2*m - m. Let l(d) = 2*d + 7. What is o*u(i) - l(i)?
3*i - 2
Let l = -15310 - -15299. Let w(m) = 14*m**3 + m**2 - 4*m - 4. Let u(t) = -41*t**3 - 2*t**2 + 11*t + 11. What is l*w(i) - 4*u(i)?
10*i**3 - 3*i**2
Let y(h) = 15*h - 5. Let q(c) be the third derivative of 2*c**4/3 - c**3 - 2*c**2 + 499*c. Give 5*q(z) - 6*y(z).
-10*z
Let s(x) = -x**2 + 5*x - 3. Let p(t) = -1730*t**2 - 15*t + 9. Calculate -p(b) - 3*s(b).
1733*b**2
Suppose 3*x - 36 = -5*i - 66, -x = -4*i - 41. Let g(u) = 17*u**3 + 19*u. Let o(w) = -33*w - 31*w + 4*w**3 + 135*w - 35*w - 31*w. What is i*o(q) + 2*g(q)?
-2*q**3 - 7*q
Let b(k) = -325*k**3 - 4*k**2 + 10. Let q(j) = 325*j**3 + 5*j**2 - 12. Give 6*b(i) + 5*q(i).
-325*i**3 + i**2
Let m(t) = -4*t**2 + 4*t - 4. Suppose -51*o + 191 - 38 = 0. Let j(i) = -2 + 1 + 6 + o*i**2 + 0*i - 4*i - i. Calculate -4*j(x) - 5*m(x).
8*x**2
Let k(r) = -r**2 - 5*r + 5. Let w = 0 + -37. Let x = -27 - w. Let o(a) = 11 - 20 + x - a. Calculate k(z) - 5*o(z).
-z**2
Let n(k) = -8412 + 8412 + 0*k + 30*k**2 - 29*k**2 - k. Let o(f) = 30*f**2 - 33*f. Calculate 66*n(w) - 2*o(w).
6*w**2
Let i(u) = 13294*u**2 + 51*u - 153. Let l(r) = 1328*r**2 + 5*r - 15. Determine 5*i(o) - 51*l(o).
-1258*o**2
Let b(d) = -2*d + 2. Let o(l) = l + 1. Let x(i) = i**3 - 10*i**2 - 4*i - 35. Let m be x(10). Let z = m + 73. What is z*b(k) + 4*o(k)?
8*k
Let x(z) = 15*z**2 + 5*z - 5. Let n(p) = -6*p + 0*p - 7*p**2 + 6 - 9*p**2. Let r(y) = -8*y**2 - 257*y - 1549. Let q be r(-8). Give q*n(b) - 6*x(b).
-10*b**2
Let v(f) = -4*f**3 + 7*f**2 + f + 1. Let b = -4546 - -4539. Let k(i) = 4*i**3 - 6*i**2 - i - 1. Give b*k(c) - 6*v(c).
-4*c**3 + c + 1
Let b(z) = -3*z**2 - 21*z - 1. Let s(w) = -3*w**2 - 18*w - 1. What is -6*b(f) + 7*s(f)?
-3*f**2 - 1
Let w be (32/40)/((108/(-180))/(3/2)). Let v(y) = y**3 - 2*y**2 - 2*y - 24. Let j(t) = 6*t**3 - 11*t**2 - 11*t - 120. Calculate w*j(s) + 11*v(s).
-s**3 - 24
Let y(d) = -284*d + 207. Let n(p) = p - 71. Calculate 3*n(c) + y(c).
-281*c - 6
Let i(n) = -4698*n**3 - 203*n**2. Let r(o) = 88*o**3 - 47*o**3 - 157*o**3 - 5*o**2. What is -5*i(g) + 203*r(g)?
-58*g**3
Let n(k) = -8*k - 9. Let u(h) = 16*h + 17. Let p be (15/6)/((-4)/(-10) - (-48)/2880). Give p*u(w) + 11*n(w).
8*w + 3
Let h(z) = 5*z**2 - 62*z + 4. Let v(f) = 4*f**2 - 59*f + 3. What is -2*h(s) + 3*v(s)?
2*s**2 - 53*s + 1
Let t(y) = -14*y + 16. Let o = -39 - -127. Let l = o - 85. Let w(r) = -3*r + 3. Give l*t(n) - 16*w(n).
6*n
Let m(v) = 91 - 8*v**3 - 5*v - 11*v**2 + v**3 + 8*v**3 + 5*v**3. Let s(z) = z**3 - 2*z**2 - z + 18. Calculate -2*m(q) + 11*s(q).
-q**3 - q + 16
Let j(n) be the first derivative of -n**2 + 7*n + 12. Let x(h) = -6*h + 80. Let v(f) = 6*f - 110. Let r(o) = 2*v(o) + 3*x(o). Calculate -8*j(i) + 3*r(i).
-2*i + 4
Suppose 58*h + 19*h = 14*h + 189. Let t(a) = 6*a**2 + 2*a - 4. Let f(o) = -11*o**2 - 4*o + 9. Give h*f(d) + 7*t(d).
9*d**2 + 2*d - 1
Suppose 8*r - 50*r + 630 = 0. Suppose 5*m = 0, 10*q + 4*m + r = 13*q. Let d(y) = y + 5. Let v(h) = -3*h - 12. Determine q*v(g) + 12*d(g).
-3*g
Let s(a) be the second derivative of a**4/2 - 17*a**3/6 - 3*a. Suppose -73*k + 62*k = -143. Let q(g) = 2*g**2 + k*g - 20*g + g. Calculate -17*q(n) + 6*s(n).
2*n**2
Let c(y) = y**3 + y**2 + y - 1. Let m(p) = 4*p**3 - 3 - 7*p**3 - 8*p**2 - 22107*p - 10*p**3 + 22101*p + 8. Give 6*c(w) + m(w).
-7*w**3 - 2*w**2 - 1
Let q(s) = 2549*s - 2. Let h(g) = -5101*g + 4. Determine 3*h(j) + 5*q(j).
-2558*j + 2
Suppose -32 = -4*g + 4*d, -4*g + 4*d + 17 = -3*g. Let m(x) = 0 + g - 1 - 5. Let l be ((-51)/(-34))/((-12)/(-16)). Let a(v) = 3*v + 2. What is l*m(k) + a(k)?
3*k
Let f(b) = 25*b. Let n(j) = 2*j. Let l(w) = -w**3 + 3*w**2 + 7*w - 10. Let y be l(4). Suppose y*a = -10 + 2, 5*a = -4*g - 32. Give g*f(c) + 35*n(c).
-5*c
Let g(z) = -619*z**3 + z**2 + 61*z + 5. Let k(b) = 310*b**3 - 25*b - 2. Determine -2*g(j) - 5*k(j).
-312*j**3 - 2*j**2 + 3*j
Let q(w) = -899*w**3 + 6*w + 12. Let m(p) = 7191*p**3 - 47*p - 94. What is -6*m(t) - 47*q(t)?
-893*t**3
Let p(d) = -3*d**2 - 2*d + 13. Let k(u) = -20*u**2 - 4*u + 450. What is k(o) - 6*p(o)?
-2*o**2 + 8*o + 372
Let t(p) = -31*p + 5 - 4 - 4 + 59*p + 2 - 29*p. Let d be (1 - (1 - 1)) + -4. Let s(u) = 2*u**2 + 3*u + 3. Give d*t(j) - s(j).
-2*j**2
Let w(b) = 7*b - 643. Let n(i) = -8*i + 608. Give -5*n(r) - 6*w(r).
-2*r + 818
Let c(v) = 6683*v. Let j(w) = 5406549*w. Calculate 2428*c(f) - 3*j(f).
6677*f
Let b(o) = 103*o**2 - 6*o - 6. Let u(q) = 105*q**2 - 7*q - 7. What is -5*b(f) + 4*u(f)?
-95*f**2 + 2*f + 2
Let u(p) = -p**3 - 3*p**2 - 20*p + 16. Let y(w) = -w**2 + 3. Give -u(s) + 5*y(s).
s**3 - 2*s**2 + 20*s - 1
Let s(p) = 5851*p + 6. Let x(j) = -17557*j - 17. Determine 11*s(b) + 4*x(b).
-5867*b - 2
Let v(f) = 5 - 3*f - 2*f + 2*f. Let i be (-1 - 431)*(-3)/(0 - -6). Suppose i = -11*p + 47*p. Let u(h) = -3*h + 4. Determine p*u(o) - 5*v(o).
-3*o - 1
Let l(i) = i + 1. Let f = -2 + 5. Suppose -1894*v - 864 = 1030. Let z(g) = 7*g + 3. Give f*l(q) + v*z(q).
-4*q
Let y(r) = -82*r + 492. Let t(q) = 5*q - 2. Calculate -1230*t(f) - 5*y(f).
-5740*f
Let v(p) = p + 1. Let a(o) = 3*o + 2. Let u(l) = 2*a(l) - 5*v(l). Let d(b) = -b + 2 - 1 + 1. Let h be (193/772)/(3/48). Determine h*u(z) + d(z).
3*z - 2
Let z(s) = 8156 + 8155 - 37*s**2 - 16311. Let q(r) = r**2. Determine 4*q(p) + 2*z(p).
-70*p**2
Let x(z) = z**2 - z - 1. Suppose -2*k = -5*c - 11, -5*c + 2 = -4*k + 19. Let q(v) = -8*v**2 - 6*v - 6. Give c*q(m) + 6*x(m).
14*m**2
Let d(a) = -16*a + 16. Suppose 0 = n - 6 + 3. Suppose 5*o - 9 = 3*v + 7, 0 = -n*v - 4*o + 29. Let z(j) = -8*j - v + 10*j + j. What is 2*d(h) + 11*z(h)?
h - 1
Let p(x) = -6*x**3 + 16*x**2 + 144*x - 91. Let c(j) = -2*j**3 + 4*j**2 + 36*j - 21. Calculate 13*c(w) - 3*p(w).
-8*w**3 + 4*w**2 + 36*w
Let w(r) = 618*r + 65. Let c(q) = -308*q - 37. Determine -5*c(v) - 3*w(v).
-314*v - 10
Let h(l) = -36*l + 11. Let u(r) = -144*r + 44. Let b(q) = 9*h(q) - 2*u(q). Let v(k) = -3*k + 2 - 7*k + k + 2*k. Determine -2*b(c) + 11*v(c).
-5*c
Let z(a) = -61303819*a + 132876. Let j(b) = -3691*b + 8. Determine 33219*j(w) - 2*z(w).
-3691*w
Let k(o) = 4139*o + 2 + 0 - 4163*o. Let a(y) = 25*y - 3. What is -2*a(b) - 3*k(b)?
22*b
Let q(x) = x**3 - 4*x**2 + 33*x - 7. Let v be (-8559)/(-317) - (1 - -21). Let j(b) = -2*b**2 + 16*b - 3. What is v*j(l) - 2*q(l)?
-2*l**3 - 2*l**2 + 14*l - 1
Let a(l) = -l**2 - l - 1. Let h(s) = -719 + 728 + 105*s - 96*s. What is 9*a(z) + h(z)?
-9*z**2
Let m(u) = -19*u + 8. Let n(j) = -6*j + 3. Let q(p) = m(p) - 3*n(p). Suppose -14 = 2*f - 4*g, 2*f + 0*f + 18 = 5*g. Let h(x) = -13*x - 4. Give f*h(t) - 4*q(t).
-9*t
Let i(u) = -724*u - 2898. Let p(j) = -395*j - 1449. What is 6*i(k) - 11*p(k)?
k - 1449
Let m(b) = 5*b + 7. Let h(o) be the first derivative of -9*o**2/2 - 13*o - 4926. Determine -6*h(t) - 11*m(t).
-t + 1
Let z(d) = -1287 - 6*d - 6*d**3 + 3*d**2 + 24*d + 2*d**2 - 1271 + 2563. Let y(v) = 9*v**3 - 7*v**2 - 27*v - 7. Determine 5*y(i) + 7*z(i).
3*i**3 - 9*i
Suppose 5*v + 0*v - 145 = -5*f, 19 = v - f. Suppose v*k = -11*k + 175. Let s(q) = -3*q - 5. Let g(h) = -h - 2. Give k*g(p) - 2*s(p).
p
Let c(z) = z**2 - 15. Let u(i) = -3*i**2 + 29. Suppose -107*m + 120*m - 65 = 0. Give m*c(t) + 2*u(t).
-t**2 - 17
Let j(x) = -19*x + 452. Let w(n) = -3*n. Give j(r) - 7*w(r).
2*r + 452
Let b(n) = 1329517*n**2 - 2107*n. Let l(r) = 6311*r**2 - 10*r. Give -10*b(u) + 2107*l(u).
2107*u**2
Let c(n) = 40*n**3 + 11*n**2 + 6*n - 11. Let a(g) be the second derivative of -2*g**5/5 - g**4/6 - g**3/6 + g**2 - 72*g + 12. What is -11*a(r) - 2*c(r)?
8*r**3 - r
Let l(t) = 11*t**3 - 6*t + 6. Let b = 14 + -8. Let y(c) = -132 + 45*c**3 + 633 - 476 - 25*c. Give b*y(d) - 25*l(d).
-5*d**3
Let t(k) = k**3 - 1 + 9241*k**2 - 3*k - 4582*k**2 - 4661*k**2. Let o(b) = -2*b**2 - 1 - 3*b**2 + b**3 - 7*b - 2. What is 2*o(s) - 5*t(s)?
-3*s**3 + s - 1
Let x(y) = -393*y - 414. Let g(b) = -95
|
{
"pile_set_name": "DM Mathematics"
}
|
and 1 v when four letters picked without replacement from pbbpypbqvbbb?
4/99
Calculate prob of picking 2 b when two letters picked without replacement from {f: 2, h: 4, b: 4}.
2/15
Calculate prob of picking 2 p, 1 a, and 1 m when four letters picked without replacement from {m: 2, p: 3, g: 1, a: 5, v: 5}.
3/182
Two letters picked without replacement from {b: 1, k: 9, p: 1, f: 6, q: 2}. Give prob of picking 2 k.
4/19
What is prob of picking 1 x and 3 d when four letters picked without replacement from ddxdxdxddd?
1/2
What is prob of picking 3 z and 1 e when four letters picked without replacement from zezzoozzs?
5/63
Three letters picked without replacement from {y: 1, n: 4, o: 6, b: 4, l: 2}. Give prob of picking 3 o.
1/34
What is prob of picking 1 n, 1 d, and 2 v when four letters picked without replacement from {d: 3, b: 4, v: 4, i: 1, a: 1, n: 5}?
1/34
Four letters picked without replacement from {p: 10, q: 3, h: 2, u: 4}. What is prob of picking 1 u and 3 p?
40/323
Calculate prob of picking 2 n when two letters picked without replacement from nnn.
1
Two letters picked without replacement from {f: 7, p: 4}. What is prob of picking 2 p?
6/55
Two letters picked without replacement from laallliaiai. What is prob of picking 2 a?
6/55
Three letters picked without replacement from qqjqqqqqjjqjqqqqqqq. What is prob of picking 1 j and 2 q?
140/323
Two letters picked without replacement from {e: 4, c: 1, h: 5}. Give prob of picking 2 e.
2/15
Four letters picked without replacement from rddvt. What is prob of picking 1 r, 2 d, and 1 t?
1/5
Two letters picked without replacement from {n: 2, x: 4, k: 1, b: 3, o: 3, w: 2}. Give prob of picking 1 n and 1 o.
2/35
Two letters picked without replacement from suauasaa. Give prob of picking 2 u.
1/28
What is prob of picking 2 v when two letters picked without replacement from vgvvvgggvggvovvvsvg?
5/19
Four letters picked without replacement from {o: 1, s: 2, p: 2, h: 6, m: 3}. Give prob of picking 1 s and 3 m.
2/1001
Three letters picked without replacement from ffuuxssruhs. What is prob of picking 2 f and 1 s?
1/55
What is prob of picking 2 m when two letters picked without replacement from fgmmii?
1/15
Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {t: 1, c: 6, z: 1, q: 3, e: 2, g: 2}.
1/35
Calculate prob of picking 3 k when three letters picked without replacement from {k: 1, u: 3, e: 1, d: 2, w: 3}.
0
Two letters picked without replacement from llpelpppll. Give prob of picking 1 l and 1 p.
4/9
Calculate prob of picking 1 f and 1 h when two letters picked without replacement from hhyfywu.
2/21
Calculate prob of picking 1 o and 3 a when four letters picked without replacement from {o: 1, d: 1, x: 2, a: 5, j: 1}.
1/21
Two letters picked without replacement from uuiuiuuuuiuiiiiuiiu. Give prob of picking 1 i and 1 u.
10/19
Calculate prob of picking 1 d and 1 z when two letters picked without replacement from ddddzmdddmmmddzddzdz.
24/95
What is prob of picking 1 o, 2 p, and 1 z when four letters picked without replacement from wwoowwzwpppoooop?
9/455
Two letters picked without replacement from xqylpygypqpy. What is prob of picking 1 y and 1 l?
2/33
Four letters picked without replacement from ppppppp. Give prob of picking 4 p.
1
Calculate prob of picking 3 w and 1 f when four letters picked without replacement from awmwaafafafaafawwf.
1/153
Four letters picked without replacement from {j: 6, l: 3, y: 2, r: 2}. Give prob of picking 2 r, 1 y, and 1 j.
12/715
Two letters picked without replacement from ttoaotatgtnt. What is prob of picking 1 t and 1 o?
2/11
Two letters picked without replacement from ohhhhmcmhtototmh. Give prob of picking 1 t and 1 c.
1/40
What is prob of picking 1 k, 1 m, and 1 u when three letters picked without replacement from mokun?
1/10
Three letters picked without replacement from {f: 1, j: 1, s: 1, m: 2, e: 2, x: 2}. Give prob of picking 1 j and 2 x.
1/84
Three letters picked without replacement from {t: 4, h: 3}. Give prob of picking 3 h.
1/35
Three letters picked without replacement from lnaraaarsaaasnaar. What is prob of picking 1 l and 2 s?
1/680
Three letters picked without replacement from eneweffeppeeneefpep. Give prob of picking 1 p, 1 e, and 1 w.
12/323
Two letters picked without replacement from zxxdxzdoededzzhde. Give prob of picking 1 x and 1 o.
3/136
Four letters picked without replacement from {a: 2, r: 3, o: 2, j: 6, q: 3, u: 2}. What is prob of picking 1 u, 1 r, 1 j, and 1 q?
3/85
Three letters picked without replacement from {z: 7, l: 2, t: 8, b: 3}. Give prob of picking 1 z and 2 t.
49/285
Calculate prob of picking 2 v and 2 i when four letters picked without replacement from {d: 2, s: 3, i: 5, v: 2}.
2/99
Calculate prob of picking 2 p and 1 e when three letters picked without replacement from dprepd.
1/20
Two letters picked without replacement from {b: 1, e: 8, q: 4, k: 1, c: 1}. What is prob of picking 1 e and 1 b?
8/105
Four letters picked without replacement from ppqttppptqtttqptqqtp. What is prob of picking 2 t and 2 p?
196/1615
Two letters picked without replacement from bwbwwbobbwbbwbbbw. Give prob of picking 2 w.
15/136
Calculate prob of picking 2 a and 1 q when three letters picked without replacement from aliqqima.
1/28
What is prob of picking 1 o and 1 w when two letters picked without replacement from {d: 2, w: 2, o: 4}?
2/7
Three letters picked without replacement from tqtsftttfqfq. Give prob of picking 2 f and 1 s.
3/220
Two letters picked without replacement from {c: 4, s: 10}. Give prob of picking 2 c.
6/91
What is prob of picking 2 o and 1 x when three letters picked without replacement from {x: 11, o: 2, q: 4, t: 2}?
11/969
Three letters picked without replacement from jwoarou. Give prob of picking 1 o, 1 w, and 1 a.
2/35
Three letters picked without replacement from {n: 4, x: 5, j: 10, w: 1}. What is prob of picking 3 j?
2/19
Calculate prob of picking 2 j when two letters picked without replacement from jjyjyjjjrryyrjjj.
3/10
Four letters picked without replacement from {x: 1, d: 1, e: 1, r: 2, k: 2, g: 2}. What is prob of picking 1 d, 1 g, 1 k, and 1 r?
4/63
Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, d: 1, z: 2, h: 2, i: 7, x: 2}.
1/120
Two letters picked without replacement from oofofoooofooooo. What is prob of picking 2 f?
1/35
What is prob of picking 1 s and 2 a when three letters picked without replacement from ajsa?
1/4
Calculate prob of picking 1 m, 1 a, and 1 b when three letters picked without replacement from hmhbiba.
2/35
What is prob of picking 1 s and 2 q when three letters picked without replacement from {s: 8, q: 2}?
1/15
Two letters picked without replacement from viiniiwiniw. Give prob of picking 1 i and 1 w.
12/55
What is prob of picking 2 i and 1 w when three letters picked without replacement from {i: 3, t: 6, p: 2, w: 1}?
3/220
Three letters picked without replacement from {a: 1, v: 3, r: 1, z: 5, n: 1}. Give prob of picking 1 a and 2 z.
2/33
Three letters picked without replacement from nvnvn. What is prob of picking 3 n?
1/10
Two letters picked without replacement from gvoaovvoaoavvovv. Give prob of picking 2 a.
1/40
Four letters picked without replacement from {i: 5, t: 2, l: 1, u: 1, o: 1}. Give prob of picking 4 t.
0
Four letters picked without replacement from oouufnntonutnfwt. What is prob of picking 2 f, 1 w, and 1 o?
3/1820
What is prob of picking 3 h and 1 b when four letters picked without replacement from bbvvbhhhbhhh?
16/99
Two letters picked without replacement from uutotuyuylolyuyyyou. Give prob of picking 2 l.
1/171
Calculate prob of picking 1 p and 1 f when two letters picked without replacement from {p: 3, d: 3, f: 3, y: 1, c: 4, b: 2}.
3/40
Four letters picked without replacement from {e: 1, z: 2, p: 2, l: 1}. Give prob of picking 2 p, 1 z, and 1 e.
2/15
Calculate prob of picking 2 k when two letters picked without replacement from kkk.
1
Three letters picked without replacement from {e: 11, v: 5}. Give prob of picking 3 e.
33/112
What is prob of picking 1 m and 1 r when two letters picked without replacement from {g: 1, z: 1, s: 1, r: 1, m: 1, a: 2}?
1/21
Four letters picked without replacement from {l: 1, b: 5, w: 4, h: 1}.
|
{
"pile_set_name": "DM Mathematics"
}
|
?
c**2 + 75981*c + 80
What is the w'th term of -634252, -634170, -634088?
82*w - 634334
What is the z'th term of 118815, 237659, 356529, 475425, 594347, 713295, 832269?
13*z**2 + 118805*z - 3
What is the x'th term of 447772, 1791053, 4029854, 7164175, 11194016, 16119377, 21940258?
447760*x**2 + x + 11
What is the p'th term of 7764965, 7764968, 7764973, 7764980, 7764989, 7765000, 7765013?
p**2 + 7764964
What is the u'th term of 969, 3819, 8495, 14937, 23085, 32879, 44259?
-10*u**3 + 973*u**2 + u + 5
What is the f'th term of 73788, 295173, 664146, 1180701, 1844832, 2656533, 3615798?
-f**3 + 73800*f**2 - 8*f - 3
What is the i'th term of 3106, 8926, 14742, 20554?
-2*i**2 + 5826*i - 2718
What is the k'th term of 5428, 21466, 48206, 85654, 133816, 192698?
k**3 + 5345*k**2 - 4*k + 86
What is the h'th term of -44347387, -44347389, -44347391, -44347393, -44347395, -44347397?
-2*h - 44347385
What is the n'th term of -12309, -24643, -36963, -49257, -61513, -73719, -85863?
2*n**3 - 5*n**2 - 12333*n + 27
What is the j'th term of 844626, 3378489, 7601594, 13513941, 21115530, 30406361, 41386434?
844621*j**2 + 5
What is the w'th term of 275952, 276142, 276458, 276900, 277468?
63*w**2 + w + 275888
What is the p'th term of 56638, 226619, 509946, 906619, 1416638, 2040003, 2776714?
56673*p**2 - 38*p + 3
What is the g'th term of -2134911, -4269872, -6404833, -8539794, -10674755?
-2134961*g + 50
What is the g'th term of -46, -164, -636, -1738, -3746?
-46*g**3 + 99*g**2 - 93*g - 6
What is the u'th term of -842026, -841945, -841730, -841315, -840634, -839621?
11*u**3 + u**2 + u - 842039
What is the q'th term of -128, 763, 1636, 2485, 3304?
-q**3 - 3*q**2 + 907*q - 1031
What is the i'th term of -171414, -172550, -174444, -177096, -180506, -184674, -189600?
-379*i**2 + i - 171036
What is the n'th term of 4401, 1696, -1009, -3714, -6419?
-2705*n + 7106
What is the c'th term of 558025, 559170, 561079, 563752, 567189, 571390, 576355?
382*c**2 - c + 557644
What is the t'th term of 368, 791, 1114, 1331, 1436, 1423?
-t**3 - 44*t**2 + 562*t - 149
What is the s'th term of -144639, -144655, -144665, -144669, -144667?
3*s**2 - 25*s - 144617
What is the a'th term of 168406, 337322, 506238, 675154?
168916*a - 510
What is the w'th term of 5966, 10811, 15656?
4845*w + 1121
What is the s'th term of 14069897, 28139796, 42209695, 56279594, 70349493?
14069899*s - 2
What is the p'th term of -119, -751, -1399, -2063, -2743, -3439?
-8*p**2 - 608*p + 497
What is the n'th term of -7831, -10465, -13099, -15733, -18367, -21001?
-2634*n - 5197
What is the i'th term of 426163657, 426163658, 426163659, 426163660, 426163661, 426163662?
i + 426163656
What is the f'th term of 276106479, 276106475, 276106469, 276106461, 276106451, 276106439?
-f**2 - f + 276106481
What is the l'th term of -1920, -4137, -6408, -8733?
-27*l**2 - 2136*l + 243
What is the a'th term of 254819169, 509638341, 764457513, 1019276685, 1274095857, 1528915029?
254819172*a - 3
What is the y'th term of -1065281, -1065388, -1065495, -1065602, -1065709, -1065816?
-107*y - 1065174
What is the z'th term of -3083, -6388, -9909, -13646, -17599?
-108*z**2 - 2981*z + 6
What is the z'th term of -897240, -1794160, -2691080, -3588000?
-896920*z - 320
What is the y'th term of -16681672, -16681638, -16681596, -16681546?
4*y**2 + 22*y - 16681698
What is the f'th term of -2245, -3888, -5055, -5746, -5961, -5700, -4963?
238*f**2 - 2357*f - 126
What is the b'th term of 81013, 161943, 242791, 323551, 404217, 484783, 565243?
-b**3 - 35*b**2 + 81042*b + 7
What is the w'th term of -7339, -7458, -7595, -7750, -7923, -8114, -8323?
-9*w**2 - 92*w - 7238
What is the u'th term of -5600, -5463, -5326, -5189, -5052, -4915?
137*u - 5737
What is the n'th term of -92001, -92042, -92143, -92334, -92645, -93106, -93747?
-5*n**3 - 6*n - 91990
What is the u'th term of -49231, -393749, -1328835, -3149773, -6151847?
-49214*u**3 - 20*u + 3
What is the z'th term of -7434, -6267, -4322, -1599, 1902, 6181, 11238?
389*z**2 - 7823
What is the k'th term of 59485, 236438, 531349, 944212, 1475021, 2123770?
-k**3 + 58985*k**2 + 5*k + 496
What is the v'th term of -107758954, -107758955, -107758956?
-v - 107758953
What is the n'th term of -32244, -32674, -33122, -33594, -34096?
-n**3 - 3*n**2 - 414*n - 31826
What is the p'th term of -10668921, -10668976, -10669067, -10669194, -10669357?
-18*p**2 - p - 10668902
What is the o'th term of 28468, 113490, 255054, 453154, 707784, 1018938, 1386610, 1810794?
-o**3 + 28277*o**2 + 198*o - 6
What is the s'th term of -4585, -8948, -13147, -17182?
82*s**2 - 4609*s - 58
What is the h'th term of 64739, 258955, 582645, 1035809, 1618447, 2330559, 3172145?
64737*h**2 + 5*h - 3
What is the y'th term of -622631, -622664, -622713, -622778, -622859?
-8*y**2 - 9*y - 622614
What is the g'th term of -1707, -3657, -6915, -11475, -17331, -24477, -32907?
g**3 - 660*g**2 + 23*g - 1071
What is the y'th term of -14985, -32016, -49047, -66078, -83109?
-17031*y + 2046
What is the s'th term of -4246866, -8493525, -12740184?
-4246659*s - 207
What is the c'th term of -11732, -13662, -16864, -21326, -27036, -33982, -42152?
2*c**3 - 648*c**2 - 11086
What is the q'th term of -706005, -706041, -706083, -706131, -706185, -706245?
-3*q**2 - 27*q - 705975
What is the s'th term of -13387, -25884, -38381?
-12497*s - 890
What is the b'th term of 33621, 68498, 103389, 138300, 173237, 208206?
b**3 + b**2 + 34867*b - 1248
What is the o'th term of 6619897, 6619913, 6619929, 6619945?
16*o + 6619881
What is the p'th term of -229520, -459045, -688632, -918311, -1148112, -1378065, -1608200?
-5*p**3 - p**2 - 229487*p - 27
What is the m'th term of 107836, 212884, 317932, 422980, 528028, 633076?
105048*m + 2788
What is the p'th term of 49127, 98190, 147219, 196196, 245103, 293922, 342635?
-3*p**3 + p**2 + 49081*p + 48
What is the v'th term of -11120119, -11120123, -11120129, -11120137?
-v**2 - v - 11120117
What is the v'th term of 73380, 293509, 660382, 1173993, 1834336?
-v**3 + 73378*v**2 + 2*v + 1
What is the l'th term of 179, 395, 605, 809?
-3*l**2 + 225*l - 43
What is the t'th term of -4778033, -4777996, -4777959?
37*t - 4778070
What is the w'th term of 109750, 109657, 109564, 109471, 109378, 109285?
-93*w + 109843
What is the y'th term of 85431, 170851, 256271, 341691?
85420*y + 11
What is the s'th term of 546037, 1092001, 1637965, 2183929?
545964*s + 73
What is the n'th term of 4064203, 4064243, 4064283, 4064323, 4064363, 4064403?
40*n + 4064163
What is the g'th term of 4522, 6488, 9764, 14350, 20246, 27452, 35968?
655*g**2 + g + 3866
What is the g'th term of -9421139, -18842245, -28263353, -37684463, -47105575, -56526689?
-g**2 - 9421103*g - 35
What is the k'th term of -1527383, -1527316, -1527249?
67*k - 1527450
What is the c'th term of -124206, -124229, -124252, -124275, -124298?
-23*c - 124183
What is the r'th term of -13873, -10081, 215, 20267, 53327, 102647, 171479?
542*r**3 - 2*r - 14413
What is the p'th term of 128, -266, -910, -1792, -2900, -4222, -5746, -7460?
2*p**3 - 137*p**2 + 3*p + 260
What is the a'th term of -477, -1116, -1867, -2730?
-56*a**2 - 471*a + 50
What is the k'th term of 82204, 82197, 82200, 82219, 82260, 82329?
k**3 - k**2 - 11*k + 82215
What is the x'th term of -1020735, -2041408, -3062077, -4082742, -5103403?
2*x**2 - 1020679*x - 58
What is the z'th term of -7975, -19239, -37089, -64819, -105723, -163095?
-549*z**3 + z**2 - 7424*z - 3
What is the t'th term of -437415, -1749679, -3936791, -6998751, -10935559?
-437424*t**2 + 8*t + 1
What is the i'th term of 877, 941, 981, 997, 989?
-12*i**2 + 100*i + 789
What is the k'th term of 17186972, 17186970, 17186968, 17186966?
-2*k + 17186974
What is the s'th term of -804, -3015, -6236, -10089, -14196, -18179?
63*s**3 - 883*s**2 - 3*s + 19
What is the h'th term of -32269, -64561, -96879, -129223, -161593?
-13*h**2 - 32253*h - 3
What is the i'th term of -1054, -2721, -5006, -7909, -11430, -15569, -20326?
-309*i**2 - 740*i - 5
What is the w'th term of -6828, -14287, -21746, -29205?
-7459*w + 631
What is the d'th term of -20496821, -20496822, -20496823, -20496824, -20496825?
-d - 20496820
What is the w'th term of -14674, -58426, -131348, -233440?
-14585*w**2 + 3*w - 92
What is the q'th term of 177835, 178711, 1
|
{
"pile_set_name": "DM Mathematics"
}
|
is prob of picking 1 l and 3 z when four letters picked without replacement from {l: 2, z: 7}?
5/9
Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {h: 2, w: 4, f: 2, t: 6, k: 1}.
2/105
Four letters picked without replacement from {u: 8, t: 4, l: 2}. Give prob of picking 4 t.
1/1001
Calculate prob of picking 1 a and 1 n when two letters picked without replacement from qqqtqqfan.
1/36
Calculate prob of picking 2 o when two letters picked without replacement from ggpmitgimigmotggmpgi.
0
What is prob of picking 2 l when two letters picked without replacement from {l: 2, x: 11}?
1/78
Three letters picked without replacement from {t: 2, f: 8, w: 8}. What is prob of picking 3 f?
7/102
What is prob of picking 1 k and 2 i when three letters picked without replacement from {i: 15, k: 3}?
105/272
Three letters picked without replacement from iccc. What is prob of picking 3 c?
1/4
Two letters picked without replacement from yvmyoonmyvmyme. Give prob of picking 2 y.
6/91
Calculate prob of picking 2 b when two letters picked without replacement from {b: 3, v: 1, x: 1}.
3/10
What is prob of picking 1 s, 2 y, and 1 m when four letters picked without replacement from {s: 1, z: 4, y: 2, m: 1, d: 1}?
1/126
Two letters picked without replacement from {k: 6, h: 12}. Give prob of picking 1 k and 1 h.
8/17
Three letters picked without replacement from {l: 3, c: 9}. What is prob of picking 3 c?
21/55
What is prob of picking 4 r when four letters picked without replacement from errrvrrrrrerreereer?
165/1292
Four letters picked without replacement from fkfeqqxxvfqfqfv. What is prob of picking 2 v, 1 k, and 1 e?
1/1365
What is prob of picking 2 o and 1 c when three letters picked without replacement from {s: 2, k: 1, v: 1, c: 1, o: 2, e: 2}?
1/84
Calculate prob of picking 2 y when two letters picked without replacement from zyyyvmzbevz.
3/55
Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {e: 1, o: 3, n: 2, w: 6, x: 1}.
1/13
Two letters picked without replacement from {o: 9, a: 9}. What is prob of picking 1 a and 1 o?
9/17
What is prob of picking 2 u when two letters picked without replacement from {m: 2, y: 9, r: 4, u: 3}?
1/51
Two letters picked without replacement from {l: 2, x: 9}. What is prob of picking 1 l and 1 x?
18/55
What is prob of picking 2 v when two letters picked without replacement from kkkkvkkkkzkkkkvkk?
1/136
What is prob of picking 2 m and 1 a when three letters picked without replacement from mmmammmmmaam?
27/55
Two letters picked without replacement from vvvjjzvvzzzjvjzejjv. What is prob of picking 1 v and 1 e?
7/171
Calculate prob of picking 2 g when two letters picked without replacement from gcgggcggg.
7/12
What is prob of picking 3 z when three letters picked without replacement from zhzhzhhzzhhhzzzhhzhz?
2/19
Four letters picked without replacement from hkhp. What is prob of picking 4 k?
0
Four letters picked without replacement from hdezze. What is prob of picking 3 h and 1 d?
0
Two letters picked without replacement from cyvvxcwa. What is prob of picking 1 y and 1 c?
1/14
What is prob of picking 1 b and 1 c when two letters picked without replacement from {n: 1, e: 1, k: 2, v: 1, c: 1, b: 2}?
1/14
Calculate prob of picking 1 f and 2 j when three letters picked without replacement from wjjfwf.
1/10
Two letters picked without replacement from gccgggjbbgjjgccjjbob. What is prob of picking 1 b and 1 j?
2/19
Calculate prob of picking 2 c when two letters picked without replacement from ccccc.
1
Calculate prob of picking 3 w and 1 x when four letters picked without replacement from {w: 4, x: 1, f: 3}.
2/35
Two letters picked without replacement from xfjnfnlennxl. What is prob of picking 1 e and 1 l?
1/33
Two letters picked without replacement from {l: 3, b: 4, m: 1, z: 2, t: 6, v: 3}. Give prob of picking 1 v and 1 z.
2/57
Three letters picked without replacement from {e: 2, o: 1, m: 3, v: 1, y: 5, b: 1}. What is prob of picking 2 e and 1 m?
3/286
Two letters picked without replacement from {e: 8, m: 5}. Give prob of picking 2 m.
5/39
Two letters picked without replacement from {o: 11, r: 5}. Give prob of picking 1 r and 1 o.
11/24
Three letters picked without replacement from zzzzyyz. Give prob of picking 2 z and 1 y.
4/7
Two letters picked without replacement from {f: 1, o: 1, d: 1, z: 1, e: 1}. Give prob of picking 1 e and 1 o.
1/10
Four letters picked without replacement from utnnunfnntntt. What is prob of picking 3 n and 1 u?
8/143
Three letters picked without replacement from hhsoohsshhhosshh. What is prob of picking 1 s and 2 o?
3/112
What is prob of picking 2 t when two letters picked without replacement from {t: 11, f: 3}?
55/91
Two letters picked without replacement from {y: 7, p: 7}. What is prob of picking 2 y?
3/13
What is prob of picking 2 f when two letters picked without replacement from ffyjjffyfjjyjjjfjjy?
5/57
Calculate prob of picking 1 y and 1 m when two letters picked without replacement from {v: 1, m: 1, n: 2, y: 5, u: 2, e: 5}.
1/24
Two letters picked without replacement from iyxiiyyyyiiitiyyixi. What is prob of picking 1 y and 1 i?
7/19
Two letters picked without replacement from {m: 1, z: 9, o: 4, e: 1}. What is prob of picking 1 o and 1 z?
12/35
What is prob of picking 1 z and 1 x when two letters picked without replacement from xxqxqqxxqqzxqx?
1/13
Two letters picked without replacement from {b: 5, s: 1, d: 4}. Give prob of picking 2 d.
2/15
What is prob of picking 3 h when three letters picked without replacement from heqhheeeeeeqeeeee?
1/680
Two letters picked without replacement from cuqwh. Give prob of picking 1 w and 1 c.
1/10
Calculate prob of picking 1 v and 2 c when three letters picked without replacement from {z: 4, c: 8, e: 2, i: 1, v: 1}.
1/20
Two letters picked without replacement from {t: 10}. Give prob of picking 2 t.
1
What is prob of picking 1 b, 2 e, and 1 s when four letters picked without replacement from hsbekskbkkgeses?
8/455
What is prob of picking 1 s and 1 v when two letters picked without replacement from vsvssvssvtvvavvvs?
27/68
Calculate prob of picking 1 w, 1 k, and 2 p when four letters picked without replacement from kkppzkkwk.
5/126
Three letters picked without replacement from qxwwbqtwtwbt. What is prob of picking 1 q, 1 x, and 1 t?
3/110
Three letters picked without replacement from {q: 5, f: 3}. Give prob of picking 1 q and 2 f.
15/56
Two letters picked without replacement from {d: 1, x: 3, c: 1, t: 2, l: 3, e: 1}. Give prob of picking 2 x.
3/55
Three letters picked without replacement from hppppppppphp. Give prob of picking 2 p and 1 h.
9/22
What is prob of picking 1 n and 1 k when two letters picked without replacement from knnpnnppnanpkkanak?
28/153
Calculate prob of picking 2 c and 1 z when three letters picked without replacement from cqvvqvvqvzpccv.
3/364
Two letters picked without replacement from cbboevb. What is prob of picking 1 o and 1 c?
1/21
What is prob of picking 1 p and 3 c when four letters picked without replacement from uucccipciuuuu?
4/715
Four letters picked without replacement from {k: 13, a: 6}. Give prob of picking 1 k and 3 a.
65/969
What is prob of picking 2 u and 1 c when three letters picked without replacement from utcuuucttuuutccc?
3/16
What is prob of picking 1 s and 1 f when two letters picked without replacement from shzukkfu?
1/28
Two letters picked without replacement from ttggtttgggtgtgggggg. Give prob of picking 2 g.
22/57
Two letters picked without replacement from {g: 2, d: 1, m: 1, e: 4, x: 3, w: 4}. What is prob of picking 1 w and 1 m?
4/105
Four letters picked without replacement from {r: 2, t: 2, f: 5, v: 3}. What is prob of picking 2 t, 1 r, and 1 v?
2/165
What is prob of picking 2 b and 1 k when three letters picked without replacement from {k: 11, b: 9}?
33/95
Calculate prob of picking 2 w when two letters picked without replacement from wkkkww.
1/5
Four letters picked without replacement from {g: 6, k: 12}. Give prob of picking 4 k.
11/68
Two letters picked without replacement from {a: 1, b: 2, w: 1}. What is prob of picking 1 b and 1 w?
1/3
Calculate prob of picking 2 a, 1 g, and 1 o when four letters picked without replacement from ggllogolaloaa.
27/715
W
|
{
"pile_set_name": "DM Mathematics"
}
|
+ w**2 + 3*w**3)*(-2*w + 3*w**2 + 4 - 2 - 3).
9*w**5 - 6*w**4 - 3*w**3
Expand (-p**2 - 2*p**2 + 2*p**2 + (0*p**2 - 2*p**2 + 3*p**2)*(-6 + 1 + 3) - 3*p + 3*p + 2*p**2)*((0 + 0 + 2*p)*(-2*p - 2*p + 2*p) + 7*p**2 - 11 + 11).
-3*p**4
Expand (-2*z + 2*z**4 + 2*z)*(z - 7*z - 2*z).
-16*z**5
Expand -12*v**3 + 12*v**3 - 5*v**4 + (7 + 3*v**3 - 7)*(0*v - v - 3*v) + v**3 + 2*v**4 - v**3 + (v + 4*v - 4*v)*(v**3 - 5 + 5).
-14*v**4
Expand (4 - 6 + 0)*(0*o**2 - o**2 - 2*o**2 + (3 - 4 - 1)*(-4*o**2 + 4*o**2 + o**2) + 0*o**2 + 0*o**2 + o**2).
8*o**2
Expand (-2 - 2 + 5)*(2 - 4 + 9)*(h - h + 2*h).
14*h
Expand (-2*v**2 - 2*v**2 - 2*v**2)*(-v**2 + 5*v**2 - 5*v**2).
6*v**4
Expand (-3 + 4 + 0)*(2 - 8 - 4*f + 4).
-4*f - 2
Expand a**5 + a**5 + a**5 + (0*a**3 + 2*a**3 - a**3)*(-3*a + 3*a + a**2) + (a**4 + a - a)*(a - 7*a - a).
-3*a**5
Expand 4 + c**3 - 4 + (-2*c + 0*c + 3*c)*(-4*c**2 + 6*c**2 - 4*c**2).
-c**3
Expand (4*j**5 + 0*j**5 + j**5)*(0 + 1 - 2) + (-4*j**4 + 2*j**4 + 3*j**4)*(4*j + j - 2*j).
-2*j**5
Expand 2*u**2 - 2*u**2 + 3*u**2 + (-u + 4*u - u)*(-u + 0*u - u).
-u**2
Expand (6 - 6 + x**3)*(-5*x**2 + 4*x**2 + 2*x**2 + x**2 + x**2 - 4*x**2 + (-2*x - 4*x + 7*x)*(-5*x + 0*x + 3*x) + 6*x**2 + x - x).
3*x**5
Expand 1 - s - 1 + (-s - 7 + 7)*(-3 + 6 - 2).
-2*s
Expand -f**3 - 2*f**3 + 0*f**3 + (2*f**2 - 1 + 1)*(0*f + 0*f + f) + (-7*f + 7*f - f**2)*((-4 - 1 + 3)*(-1 + 1 - 2*f) - 6*f - 2*f + 5*f).
-2*f**3
Expand 3*o - 7*o + 18*o + (-2 + 1 + 2)*(3*o - 4*o - o) + 2*o + o - 5*o - 2*o - 2 + 2.
8*o
Expand (-4*y + 3 - 3)*(-3*y**4 - 2*y**4 + y**4) + (5*y**4 - 3*y**4 - 4*y**4)*(-5*y + 2*y + 2*y).
18*y**5
Expand (3*t**2 - t**2 - 3*t**2)*(t + t**2 - t) - 3*t**4 - 8*t + 8*t + 3*t**4 + 0*t**4 - 6*t**4.
-7*t**4
Expand 19*t**2 - 46 + 46 + (-t**2 + 2 - 2 + (-3*t + 2*t + 2*t)*(4*t - t - t))*(-1 + 1 + 2).
21*t**2
Expand (0*l - 3*l + 2*l)*(-3*l**3 + l**3 + l**3) - l**4 - 2*l**4 + 4*l**4 - 1.
2*l**4 - 1
Expand ((-3 + 2 + 0)*(-3 + 2 + 4) + 0 - 3 - 1)*(3*n**2 + n**3 - 3*n**2).
-7*n**3
Expand (2*y**3 + y**3 - 2*y**3)*(5*y + 2*y - 5*y) - 4*y**2 + 4*y**2 - y**4.
y**4
Expand (2*a**4 + 2*a**4 - 5*a**4)*((0*a - 3*a + 2*a)*(-1 + 2 + 0) + 14 + 2*a - 14).
-a**5
Expand (-66*l - 13*l - 9*l)*(l - 3*l + 4*l).
-176*l**2
Expand (s - 3*s + 0*s)*(0*s**3 + 3*s**3 - 4*s**3 + (4 - 1 - 4)*(s**3 - 2 + 2) + 3*s**3 - 6*s**3 + 2*s**3) - 381*s**2 + 23*s**4 + 2 + 381*s**2.
29*s**4 + 2
Expand (g - 2*g + 3*g + (-4*g + 4*g + 2*g)*(0 + 0 - 2))*(-4 + 0 + 5)*(-g**3 + 4*g**3 - 6*g**3).
6*g**4
Expand 2*g**3 - 2 + 2 + (5*g - 3*g - 3*g)*(3*g**2 - 6*g**2 + g**2) + 4*g**2 + 2*g**3 - 4*g**2.
6*g**3
Expand (1 - 2 + 3)*(4*k**5 - 6*k**5 + k**5 - 4*k**5 + 4*k**5 - k**5 - 5*k**5 + 2*k**5 + 0*k**5 + (-1 + k**2 + 1)*(-k**3 - 1 + 1) + k**5 + 2*k**5 - 5*k**5).
-16*k**5
Expand (6 - 2 - 6)*(2*r + r - 2*r).
-2*r
Expand 0*v**2 + 0*v**2 - 2*v**3 + (-1 + 1 + 2*v)*(v**2 + v**2 - v**2) + 3 + v**3 - 3 - 3*v + v**3 + 3*v.
2*v**3
Expand (2 - 3*f**2 - 2)*(5 - 5 + f**2) + (5 - 3 - 1)*(2*f**4 + 2*f - 2*f) - 2*f**4 - 2*f + 2*f.
-3*f**4
Expand (-2 - 4 + 5 + (2 - 3 - 1)*(-4 + 6 - 4) - 3 - 1 + 3 + 0 + 2 - 4 + (-4 + 5 - 3)*(3 - 2 - 3) - 2 + 0 + 1 + 4 - 1 - 2 - 1 + 2 + 1)*(3*i - 2*i - 4*i).
-18*i
Expand (0 + x + 0)*(3*x**2 - 5*x**2 + 4*x**2) - 3*x + x**3 + 3*x + 0*x**3 - 3*x**3 - 4*x**3 - 6 + x**3 + 6 + x**2.
-3*x**3 + x**2
Expand (-1 + 2 + 0)*(-i**3 - 22*i**2 + 22*i**2).
-i**3
Expand (-j**3 + 4*j**3 - j**3)*(3 + 3 - 5)*(-j**2 + 0*j**2 + 2*j**2).
2*j**5
Expand (2*x**3 + 2*x**3 + 0*x**3)*(-1 + 1 + x**2) + (2*x**3 - 5*x**3 + x**3)*(2*x**2 - 4*x**2 + 3*x**2).
2*x**5
Expand (10*y**3 - 28*y**3 + 0*y**3)*((4*y - 6*y + 0*y)*(0*y + 0*y + 2*y) + 3*y**2 + y**2 - 2*y**2).
36*y**5
Expand -7*u**3 + 3*u**3 + 2*u**3 + (-3 + 3 - 4*u)*(-2*u**2 + 4*u**2 - u**2).
-6*u**3
Expand (-3 + 3 - h)*(-3*h - h - 3*h).
7*h**2
Expand 4*q - q + 0*q + (0 + 3 - 4)*(-2*q + 3*q + 0*q) - 2*q - 5*q + 3*q + (-3 + 1 + 4)*(-1 - 2*q + 1).
-6*q
Expand (1 - 4 + 0)*(-2*c + 0*c + 4*c - 4*c + 2*c + 4*c + (-1 + 2 + 0)*(c + 0*c + 0*c)).
-15*c
Expand (2*z - 2*z + 2*z**2)*(z**3 - 24 + 11*z + 24) + (0*z**2 + 4*z**2 - 6*z**2)*(-2*z**3 + 2*z**3 - z**3) + z**5 + 0*z + 0*z.
5*z**5 + 22*z**3
Expand (2*q + 0*q - q)*(2*q - 6*q - 2*q + (2*q + 0*q - 3*q)*(-2 - 2 + 5)).
-7*q**2
Expand -18*l**5 - 21*l**5 + 30*l**5 + (2*l - l + 0*l)*(2*l**4 + 0*l**3 + 0*l**3) - 2*l**4 + 2*l**5 + 2*l**4.
-5*l**5
Expand 3 - 3 + u + (-5 + 5 - 1)*(0*u - u - u).
3*u
Expand (3*x - x**2 - 3*x)*(-9*x + 6*x - 35*x)*(2*x - 4*x + 3*x).
38*x**4
Expand 2*o - o - 3*o + (3 - 2*o - 3)*(-3 - 2 + 2) + 5*o - 4*o - 2*o.
3*o
Expand (2*r + 0 + 0)*(2 + 2 - 2) + r + 7*r + r.
13*r
Expand -5*v**2 + 3*v**2 + 4*v**2 + (6*v - 3*v + v)*(-v - 3*v + 5*v) - 2*v**2 + 0*v**2 + 0*v**2.
4*v**2
Expand (3*s - 1 + 1 - s - 4*s + 4*s + (0 + 1 + 0)*(0*s + 2*s + 0*s))*(4*s + 3*s - 3*s) + 3*s**2 + 3*s**2 - 4*s**2.
18*s**2
Expand (-2*k + 3 - 2 + 0)*(-16*k + 13*k - 10*k).
26*k**2 - 13*k
Expand (4*s - 4*s + 7*s)*(1 - 1 + 1 - 3*s**2) + 2*s**3 - 3*s**3 + 3*s**3.
-19*s**3 + 7*s
Expand (1 + 2 - 1)*(2*y - 2 + 2) - 2*y + y + 3*y + (7 - 4 - 2)*(-4*y + 2*y + y) - 35*y + 13*y - 17*y.
-34*y
Expand (-r**2 - 2*r**5 + r**2 + (0*r - r + 3*r)*(-3*r**4 + 5*r**4 - 3*r**4) - 4*r**5 - r**5 + 3*r**5)*(-1 + 2 + 0 + (-2 - 1 + 4)*(3 - 3 - 2)).
6*r**5
Expand ((5 + 0 - 4)*(0 + 4 - 5) - 2 - 1 - 1 + (-1 - 2 + 1)*(0 - 2 - 1))*(-5*q - q + 4*q).
-2*q
Expand (0*t**2 + 2*t**4 + 0*t**2)*(2 - 3 + 3) + (-2*t**2 - 3 + 3)*(t**2 - 2*t**2 + 2*t**2).
2*t**4
Expand (y + 0*y + y)*(-5*y**2 + 4*y - 4*y) + 2*y**3 - 11*y**3 - 5*y**3.
-24*y**3
Expand (13*y + y - 36*y)*(-3 - y**3 + 3).
22*y**4
Expand -g + 0*g + 2*g + (-17 + 102 + 6)*(2 - 2 + 2*g).
183*g
Expand 0*n**2 - 7*n**2 + 4*n**2 + (-2*n**2 + 0*n**2 + n**2)*(-3 + 0 + 1) + 5*n**2 - 2*n**2 + 0*n**2.
2*n**2
Expand (-j + 4*j - j)*(3 + 4 - 2)*(6 - 4 - 1).
10*j
Expand (-11*c + 0*c - 5*c)*(-3*c**2 + c**2 + c**2).
16*c**3
Expand (0*a + a - 5*a + (0 - 2*a + 0)*(1 + 1 - 3) - a - 2*a + a)*(-2 + 2 + a).
-4*a**2
Expand (29 - 11 - 11)*(1 + 5 - 4)*(-2 + 2*p + 2) - 5*p + p + 2*p.
26*p
Expand (7*g**2 - 9*g**2 + 0*g**2)*(4*g - 2*g + g)*(2*g - 5*g + 5*g + 1).
-12*g**4 - 6*g**3
Expand (11 + 24 + 3)*(4*d**2 - 4*d**2 - d**3).
-38*d**3
Expand (-2 - 2 + 2)*(128*r**3 - 17*r**5 - 128*r**3).
34*r**5
Expand ((-3*d - 3*d + 4*d)*(4*d - 4*d + 2*d) + 5*d**2 - 3*d**2 - d**2 + 0*d**2 - 2*d**2 - d**2)*(2*d - 3*d - d).
12*d**3
Expand (-2 + 3 - 2)*(6 - 6 - 2*b**2)*(b**3 + 5*b**3 - 2*b**3).
8*b**5
Expand (-v - v + 0*v)*(3*v + 0*v - 4*v)*((-5 + 4 + 3)*(4*v - v - v) + v + v + 2*v).
16*v**3
Expand -2*m**3 + 4*m**3 - 3*m**3 + (0*m**2 + m**2 + 0*m**2)*(3*m - 5*m - 3*m) + 0*m**3 + 0*m**3 - 5*m**3.
-11*m**3
Expand (2 + 2*v - 2)*((-2*v + 5*v - v)*(4*v - 2*v + 0*v) + 11*v + 6*v**2 - 11*v).
20*v**3
Expand (4 - 6 + 0)*(-5*d**5 + 2*d**5 + 4*d**5) + (2 + d**2 - 2)*(0 - d**3 + 0) - d**4 + d**4 - 3*d**5.
-6*d**5
Expand (0 - 2 - 2)*(-3*p - p + 2*p)*(6 + 0 - 3).
24*p
Expand 0*f**5 + 271*f**4 - 274*f**4 - 4*f**5 + (-f**3 + 0*f**3 + 3*f**3)*(2*f + 2*f**2 - 2*f) - 5*f**5 + 0*f**5 + 2*f**5.
-3*f**5 - 3*f**4
Expand (-1 + 0 - 76*s + 62*s)*(s**3 - 5*s**3 + s**3).
42*s**4 + 3*s**3
Expand (0*u**2 + u**2 + 3*u**2)*(u + u - 3*u) + (-3*u**2 - 2*u**2 + 3*u**2)*(1 + 2*u - 1) + u**3 - u**3 + 2*u**3 - 3*u**3 + 0 + 0.
-9*u**3
Expand (-11 + 1 - 9)*(-4*z**2 + 0*z**2 + 2*z**2)*(-3 + 2 + 0).
-38*z**2
Expand (1 - 1 - 3*o**2)*(3 + 1 + 2) + (o + 2*o - o)*(5 - 2*o - 5).
-22*o**2
Expand (r**2 - r + r)*(2 + 2*r**2 + 11*r**2 - 3).
13*r**4 - r**2
Expand (2*k - 2*k + 3*k**3)*(2*k**2 + k**2 - 2*k**2) - 4*k**5 - k**5 + 4*k**5 - 3*k**5 - k**2 + k**2.
-k**5
Expand (4 + 1 - 6)*(-3*l - 2*l + 4*l)*(5*l**2 + 11 - 11).
5*l**3
Expand (0 + 0 + 2)*(4*j - j - 2*j) + 3*j - j + 9*j + j - 2 + 2 + j + j - j + (4 + 3 - 5)*(0 + 0 + 2*j).
19*j
Expand (2*t**3 - 1 + t**4 - 2*t**3)*(-4 + 2 + 1).
-t**4 + 1
Expand 4*r**4 - 3*r**4 - 2*r**4 + (-2*r**3 - 4*r**3 + 3*r**3)*(3*r + r - 3*r + (r + 0*r + r)*(1 + 2 - 1)).
-16*r**4
Expand -31*w**2 - 5421 + 5421 + 4*w + (-2 - 3 + 3)*(1 - 2*w**2 - 1).
-27*w**2 + 4*w
Expand (0*s + 8*s - 2 - 5*s)*(3*s**2 - s**2 - 5*s**2).
-9*s**3 + 6*s**2
Expand (3*p + p - 5*p)*((-5*p + 4*p + 0*p)*(-4 - 1 + 3) + p - 2*p + 2*p + 0*p - p + 0*p).
-2*p**2
Expand (0 + h + 0 - 3*h**2 - 2)*(3 - 2*h**2 - 3).
6*h**4 - 2*h**3 + 4*h**2
Expand (8*h**3 + 5*h**3 + 5*h**3)*(1 -
|
{
"pile_set_name": "DM Mathematics"
}
|
u**(-773/77)
Simplify (s**(1/2)*s/(s/(s*(s**(1/4)/s*s)/s)*s))/(((s**(-1)*s)/s)/s*s*s/(s*s**(1/4)/s)) assuming s is positive.
1
Simplify (v**(-1/2)/v*v)**(-16/7)/(v/(v**(-1/5)*v)*v**(-1)) assuming v is positive.
v**(68/35)
Simplify t**6/t*t*t**(-1)*t*t*(t**1)**20 assuming t is positive.
t**27
Simplify (j*j**(-16))**(2/33) assuming j is positive.
j**(-10/11)
Simplify (s/(s*s**(-4/13)/s))**39 assuming s is positive.
s**51
Simplify (t**(-1/4)/t)**(-1/2)/(t*t*t**(-1/2))**(-31) assuming t is positive.
t**(377/8)
Simplify (s/s**20)**(1/8) assuming s is positive.
s**(-19/8)
Simplify n*n**(-1/4)/n*n**(3/4)/n*n**(-5/4)/n**(2/9) assuming n is positive.
n**(-71/36)
Simplify (m**(2/7)*m)**(-37)*(m**(-1/4))**(-13/5) assuming m is positive.
m**(-6569/140)
Simplify (q/((q/q**1)/q))**40/(((q**(-2/5)*q)/q)/(q*q*q/(q**(-2/17)/q*q))) assuming q is positive.
q**(7099/85)
Simplify (n/n**(1/34))**33 assuming n is positive.
n**(1089/34)
Simplify (g**(2/5))**(-2/7)/((g/(g/(g*g/(g/(((g**5/g)/g*g)/g*g)))))/(g*g**(-2/7))) assuming g is positive.
g**(-22/5)
Simplify t**10/t**27 assuming t is positive.
t**(-17)
Simplify f**(-8/7)*f**(3/8)*(f*((f**(2/7)*f)/f)/f*f)**(-3/13) assuming f is positive.
f**(-775/728)
Simplify c/(c*((c/(c*c*c*c**(4/5)))/c)/c*c*c*c)*c**(9/5)*(c**(2/3)*c)**(1/15) assuming c is positive.
c**(167/45)
Simplify (k**(1/7)/(k*k*k/(k*k**(2/3))))/(k*k**(-1/6)*k*k**(-6)/k) assuming k is positive.
k**(167/42)
Simplify (f*f*f**(-8)/f)/((f/f**(-1))/f)*f**(-9/5)*f**4 assuming f is positive.
f**(-29/5)
Simplify (p**(1/2)/p**(-5/6))/(p**(3/7)*p*p/(p/p**5)*p) assuming p is positive.
p**(-128/21)
Simplify (n*n**(1/4)*n*n**3)**(-2) assuming n is positive.
n**(-21/2)
Simplify (a*a*a**(-2))/(a**(-1)/a*a)*(a**(2/3)*a)**(5/6) assuming a is positive.
a**(43/18)
Simplify (((u**10*u)/u)/(u*u**4))/(u/(u**(-1)*u))**39 assuming u is positive.
u**(-34)
Simplify (t*t*t**16*t*t*t)**23 assuming t is positive.
t**483
Simplify (z*z**(-1))**(10/13)/((z*z**1)/z**(-3/7)) assuming z is positive.
z**(-17/7)
Simplify (l**0)**(27/4)*(l**(-1/3))**50 assuming l is positive.
l**(-50/3)
Simplify (w/(w*w**(-5)/w)*w)/(w**(-2/3)/w)*w**9*w**(-10)/w assuming w is positive.
w**(20/3)
Simplify (y**(-3)*y**(-3/4))/(y**(-1/4))**17 assuming y is positive.
sqrt(y)
Simplify n**(-3/2)/(n/(n**(-2/23)*n)) assuming n is positive.
n**(-73/46)
Simplify (w**(1/2)*w)**(-1/10)*(w*w/(w*w/(w**(-2)*w))*w*w)**(2/65) assuming w is positive.
w**(-31/260)
Simplify o**(-1/2)*o*(o/(o**(-2/5)*o))/o*(o*o*o**(-3/5))/(o**(-1/2)/o*o) assuming o is positive.
o**(9/5)
Simplify m/m**(-1/4)*m**24 assuming m is positive.
m**(101/4)
Simplify (c**1*c)**49*(c/(c/c**(-2/13)))/(c*c**3) assuming c is positive.
c**(1220/13)
Simplify (((m*m**4)/m)/(m*m**(2/11)))/(m**(4/5)*m/(m*m**3)) assuming m is positive.
m**(276/55)
Simplify x*x/((x/x**(-39))/x)*x*x**(-14/3) assuming x is positive.
x**(-122/3)
Simplify (z/((((z**(2/21)*z)/z)/z)/z))/z**(-1/5) assuming z is positive.
z**(326/105)
Simplify o/(o/o**0)*o/(o**(3/7)*o)*(o**(-2/3))**(-11) assuming o is positive.
o**(145/21)
Simplify (j*j*j*j*j**(2/3)*j**(-7))**(-48) assuming j is positive.
j**112
Simplify ((t*t**(-1/3))/(t/t**1))/(t**(-2/7)/t*t**(-2)) assuming t is positive.
t**(83/21)
Simplify (p*(p/(p**6*p*p))/p*p/((p**(-2/5)/p)/p))/((p*p/p**1)/p)**(-3/16) assuming p is positive.
p**(-18/5)
Simplify (o*o**(-2/9))/(o**(5/9)*o) assuming o is positive.
o**(-7/9)
Simplify (q*q/(q**(-4/5)*q)*q*q/(q*q*q**(1/6)/q*q))/(q*q/q**(-2/27)*q*q/(q/((q*(q/(((q**4*q)/q)/q))/q)/q))) assuming q is positive.
q**(421/270)
Simplify s/s**6*s*s**(-8/17) assuming s is positive.
s**(-76/17)
Simplify (((t**(2/3)*t)/t)/t**13)**(2/153) assuming t is positive.
t**(-74/459)
Simplify (y/((y*y/(y**(-1/7)*y)*y)/y*y)*y*y/(y**(-8)*y))/(y/(y/y**(-1/2)))**(-2/13) assuming y is positive.
y**(708/91)
Simplify ((z/(z*z*z/z**(-1)*z))/(z*z**3/z))/(((z**7*z)/z*z)/(z/z**0)) assuming z is positive.
z**(-14)
Simplify (z*z*(z*z**(-18))/z)/(z/(z/z**23)) assuming z is positive.
z**(-39)
Simplify (k**(-2)/k)**31 assuming k is positive.
k**(-93)
Simplify (i**(-11))**4 assuming i is positive.
i**(-44)
Simplify ((s/(s*s/(s/(s*(s*(s/s**3)/s*s*s)/s))))/(s*(s*s**(-1/4)*s)/s))/(s**(-6)*(s*s**0)/s) assuming s is positive.
s**(17/4)
Simplify (v**(6/19)*v)/(v*v/v**(-2/17)*v) assuming v is positive.
v**(-582/323)
Simplify o**6*o**(2/5)*(o**(2/9))**(-3/13) assuming o is positive.
o**(1238/195)
Simplify (c*c*c*c**(7/6))/c**(-1/5) assuming c is positive.
c**(131/30)
Simplify ((d*d**0)/d)**(-18)/((d/((((d*d**(-1/3)*d)/d)/d)/d))/(((d*d/(d/d**(1/5))*d)/d*d)/d)) assuming d is positive.
d**(-17/15)
Simplify (n**(-1/3)/(n/(n/n**1)))/((n*n/(n/(n**(-1/9)/n)*n*n*n)*n)/(n/n**(2/5))) assuming n is positive.
n**(62/45)
Simplify i**12/(i**(3/13)/i) assuming i is positive.
i**(166/13)
Simplify (w**(-1/3))**(-21)*(((w*w**(-3/4))/w*w)/w)/(w**1/w) assuming w is positive.
w**(25/4)
Simplify (h**(-1/4))**(6/11) assuming h is positive.
h**(-3/22)
Simplify (w**(-3/4))**(2/31) assuming w is positive.
w**(-3/62)
Simplify b*b/b**(-18)*((b**(-1/40)/b)/b)/b assuming b is positive.
b**(679/40)
Simplify u**(-25)/(u*u**(-14)) assuming u is positive.
u**(-12)
Simplify g**(-1/19)*g*g/((g*g**(-3/14))/g) assuming g is positive.
g**(575/266)
Simplify ((n/(n*n**(1/14)/n))/n*n*n/n**(2/9)*n)/(n**3/(n**6/n)) assuming n is positive.
n**(593/126)
Simplify (o**(-2/3)/o**7)/(o*o**1*o)**(-1/5) assuming o is positive.
o**(-106/15)
Simplify (b**3*b*b**9/b)**(11/5) assuming b is positive.
b**(132/5)
Simplify (u**(-7)*u**2)/((u*u**(1/9))/u**(7/2)) assuming u is positive.
u**(-47/18)
Simplify (j**(-1))**(-37)*(j*j*j**0)**(-15/7) assuming j is positive.
j**(229/7)
Simplify ((((u**(-1/3)*u*u)/u)/u)/u)**3 assuming u is positive.
u**(-4)
Simplify t*t*t/t**(-7)*t*t**(-4)*(t**(-1/3))**(4/11) assuming t is positive.
t**(227/33)
Simplify ((d*d/(d*d/(d/(d*d/(d**(-2/9)/d))))*d)/d*d)**(-5)/(d**(-7)*((d*d/(d*d**(-2)*d*d))/d)/d) assuming d is positive.
d**(127/9)
Simplify i*i**6*i*i*i/(i/(i/((i*i**(3/2))/i))) assuming i is positive.
i**(17/2)
Simplify (d**(1/2))**(2/9) assuming d is positive.
d**(1/9)
Simplify v/v**(-8/13)*v/v**(-41) assuming v is positive.
v**(567/13)
Simplify (x**(-3/5)*(((x/((x*x**(-1/3))/x))/x)/x*x)/x*x*x)/(x**(-2/15)/x**3) assuming x is positive.
x**(58/15)
Simplify z*z/(z*z/(z/((z/(z*((z/(z**(-3/7)/z)*z)/z*z*z)/z))/z))*z)*z*z/z**(-2) assuming z is positive.
z**(59/7)
Simplify ((g*((g*g/g**(-37)*g*g*g)/g*g)/g)/g)/((g/(g**8/g))/g) assuming g is positive.
g**48
Simplify f**0/(f**8/f)*f**(-2/3)*f**(1/6) assuming f is positive.
f**(-15/2)
Simplify (t*t**(2/9)*t*t*t/t**8*t*t*t)**(-26) assuming t is positive.
t**(182/9)
Simplify (c/(c**1/c))**(-15)*((c*(c/c**(-1/2))/c*c)/c)**(-22) assuming c is positive.
c**(-48)
Simplify ((j**(-21)/j)/j)**(-29) assuming j is positive.
j**667
Simplify ((k**(-8)*k)/(k/(k*k**(-2/5))))**30 assuming k is positive.
k**(-222)
Simplify (c/c**(-2/3))/c**5*(c/c**(3/2))/c**0 assuming c is positive.
c**(-23/6)
Simplify (l/l**(2/5))**42/((l**3*l)/(l/(l*l/(l*l/(l**2/l))*l*l))) assuming l is positive.
l**(96/5)
Simplify (m*m**1/m)/((((m**5/m)/m)/m)/m) assuming m is positive.
1
Simplify ((m/(((m*m/m**4)/m*m)/m))/m*m)/(((m*m**(-1))/m)/m) assuming m is positive.
m**6
Simplify g*g**(1/11)*g*g*g**(12/11)*g assuming g is positive.
g**(57/11)
Simplify k**28/(k/(k/(k**(2/11)*k))) assuming k is positive.
k**(295/11)
Simplify z/z**19*z**11 assuming z is positive.
z**(-7)
Simplify ((n**(1/31)/n)/n)/n**(-7) assuming n is positive.
n**(156/31)
Simplify (((k**1/k)/k)**(-4))**(-19) assuming k is positive.
k**(-76)
Simplify g*g**(2/3)*g*g**(9/5) assuming g is positive.
g**(67/15)
Simplify (g**0)**(-1/65)*((g**(-5/6)*g)/g)/g*(g*g*g**8*g*g*g)/g assuming g is positive.
g**(61/6)
Simplify ((g/g**(-4))/g)**(-13/4) assuming g is positive.
g**(-13)
Simplify (((h*h**10)/h)/h*h**(-2/9))**(11/2) assuming h is positive.
h**(869/18)
Simplify ((a**(-1/3))**23)**(-19/4) assuming a is positive.
a**(437/12)
Simplify (j**6*j/(j/(j/j**(3/5))))/(j**(-9)*j**(-3/4)/j) assuming j is positive.
j**(343/20)
Simplify (g**(1/2))**20 assuming g is positive.
g**10
Simplify (g**35/g)/g*g/g**(9/10) assuming g is positive.
g**(331/10)
Simplify (x*x*x**(-3/16)/x)/(x*x**(7/4)*x) assuming x is positive.
x**(-47/16)
Simplify (r
|
{
"pile_set_name": "DM Mathematics"
}
|
be p(1). Suppose -12*l + 465 = -y. Does 5 divide l?
False
Is (-905 - 1*(1 - 0))*98454/(-3228) a multiple of 61?
True
Let v(s) = -s**2 - 51*s + 78. Let m = 206 + -232. Is v(m) a multiple of 14?
True
Let l(j) = -37*j + 118*j - 57*j + 2. Let n be l(1). Suppose v - 16 = n. Is v a multiple of 7?
True
Is (-124)/558 - (-43908)/27 a multiple of 37?
False
Suppose 0 = 94*c - 106*c + 60. Suppose -u = 2*h - 1241, 0 = -5*u + c*h + 4645 + 1515. Is 19 a factor of u?
True
Let s(v) = -2*v - 375 - 9*v + 355 - v**2. Let t be s(-8). Is 65 - (-1 - t/4) a multiple of 29?
False
Suppose -1931*n + 1933*n = 12862. Is n a multiple of 73?
False
Suppose 7*c = 18*c - 22. Does 43 divide (c/(-1) - -1)/((-70)/4900)?
False
Is 13 a factor of ((-237)/395)/((-3)/34740)?
False
Is 173 a factor of (694/(-8) + (-175)/(-700))/((-1)/430)?
True
Let l = 1023 + -110. Suppose 0 = 4*d + 2*h - 1214, 0 = 3*d - 0*d + h - l. Is 9 a factor of d?
True
Let b = -514 + 2493. Suppose -b = -20*l + 1341. Does 89 divide l?
False
Does 54 divide (-13)/(-52)*(92177 - 13)?
False
Let m(y) = -4*y**3 - 70*y**2 - 40*y + 78. Is m(-26) a multiple of 26?
True
Let a(c) = 10*c - 154. Let f be a(15). Let h(o) = -92*o - 113. Does 5 divide h(f)?
True
Let p = 112 - 82. Suppose 4*h + p = 9*h. Suppose c = 2*a + h*c - 40, 4*a + 2*c - 64 = 0. Is 3 a factor of a?
True
Let h(y) = y**2 + 81*y + 1135. Is 15 a factor of h(-72)?
False
Let s(z) = z**2 + 34*z - 70. Let g be s(-36). Is -201*(-3 + g) - 3 a multiple of 33?
True
Let h(c) = 5*c**2 - 3*c + 22. Let j be h(-9). Let o = j + 646. Does 22 divide ((-6)/(-15))/(1105/o - 1)?
True
Suppose -4*s - 3*d = 64, 4*s + 77 = d - 3. Let v = -38 - s. Let p(z) = 2*z**2 + 25*z - 2. Does 31 divide p(v)?
False
Is 71 a factor of 105207/6 - (-4 + (-15)/(-50)*5)?
True
Let v be (-1)/(-1) - (0 - -3). Let j be (-621)/(-9) - (-8)/v. Let x = 73 + j. Is 46 a factor of x?
True
Suppose -5*d - 780 = -180. Let k = 120 + d. Suppose k = -18*n + 2831 - 41. Is 19 a factor of n?
False
Let d(o) = 692*o**2 - 195*o - 2. Is d(2) a multiple of 11?
True
Let n(i) = -i**3 + 4*i**2 - 9*i + 11. Let a be n(5). Let x = a + 62. Suppose v - 2*g = -v + 6, -x*v + 2*g = -11. Is v a multiple of 2?
False
Let v(u) = -5*u + 40. Let i be v(8). Suppose i = 9*q - 152 - 415. Is q a multiple of 9?
True
Let c = -78 - -96. Let z(u) = -10*u**2 + 13*u**2 + 20 - c*u - 6. Is 29 a factor of z(8)?
False
Let o = -22407 - -26567. Is o a multiple of 13?
True
Let f(c) = c**2 - 8*c - 22. Let k be f(-10). Suppose 3*v + 260 = 5*s - 2*v, k = 3*s - v. Does 20 divide s?
False
Let r = 1506 - 678. Suppose 13*n - 11*n = r. Is 18 a factor of n?
True
Let a = 201 - 198. Suppose c + 4*m - 151 = 0, a*c + 5*m = m + 493. Does 23 divide c?
False
Let u = 829 - -3036. Is u a multiple of 156?
False
Let i(n) = 1640*n**2 - 2*n + 28. Does 20 divide i(-3)?
False
Let u be (-3092)/(-5) - (16/(-10) + 2). Suppose -6*n - u = -1518. Suppose -n = -95*t + 94*t. Is 13 a factor of t?
False
Suppose 3*g + 3*g = 2*g. Let m(d) = 7*d - 13. Let l be m(3). Suppose g = -l*o + 142 + 10. Does 2 divide o?
False
Suppose -2*b = -3*l + 5 - 0, -4*l + 10 = -b. Let g(m) = -54 + b + 5 + 6*m. Does 6 divide g(19)?
False
Let q = 529 + -704. Is 25 a factor of (-3 + 1)*5*q?
True
Suppose -175*a + 90246 = -340*a + 171*a. Is a a multiple of 7?
False
Suppose -3*o = -2*f + 756, -23*f + 1959 = -18*f + 4*o. Is f even?
False
Let z(c) = -c**2 + 12*c + 6. Suppose 0 = -3*d + 4*d - 6. Let s = 13 - d. Is z(s) a multiple of 7?
False
Suppose -m - 9 = 2*m. Let d be 10/8*24/(-18)*m. Let b = 29 - d. Does 20 divide b?
False
Let w = -55 + 55. Suppose w = 2*o - 130 - 118. Suppose 81 = 5*s - o. Is s a multiple of 4?
False
Suppose 0 = -4*w, 7*k - w - 1665 = 4*k + 8*w. Is k a multiple of 14?
False
Let u(d) = -3*d + 29. Let o be u(-18). Let c = -116 + o. Let j = -8 - c. Is 2 a factor of j?
False
Let l(r) = -r**2 + 6. Let p be l(3). Let i(u) = 4*u**2 - u + 9. Let d be i(p). Is 13 a factor of ((d/9)/8)/((-4)/(-78))?
True
Let j(a) = a**2 - 22*a + 11. Let k be j(-11). Suppose 2*i = -f + 374, -i - k = -3*i - 3*f. Is 12 a factor of i?
False
Let k = 88090 - 48868. Is 29 a factor of k?
False
Let b = -408 + 736. Let r = 645 - 451. Let o = b - r. Is 38 a factor of o?
False
Let f = -787 + 1793. Suppose 4*w - f = -y, 4*y - 2*w = w + 4024. Is 56 a factor of y?
False
Let o = 35944 + -7200. Does 9 divide o?
False
Let w(g) = 2*g + 5. Let m be w(5). Let d = -283 - -238. Is 11 a factor of (-2)/m - 5451/d?
True
Let b(f) = 37*f**2 - 21*f + 74. Does 10 divide b(11)?
True
Let y(h) = h**2 - 55*h - 125. Is 11 a factor of y(76)?
False
Let f = -8 - -24. Let m = f + -49. Let c = m + 52. Is c a multiple of 3?
False
Let l(z) = -6*z**3 - 2*z**2 - 3*z. Let p be l(-1). Let c(r) = r**3 + r**2 + 59*r - 8. Is c(p) a multiple of 23?
False
Let r = 395 + -371. Suppose -6112 - 2288 = -r*x. Is x a multiple of 10?
True
Suppose -17*r + 15*r = 0. Suppose -2*o + 7 - 7 = r. Suppose o = 69*d - 66*d - 63. Does 9 divide d?
False
Does 3 divide 1160/(-84)*-7*144/10?
True
Let r(u) = -150*u**3 - 14*u**2 - 2*u - 6. Is r(-2) even?
True
Suppose 3*y = 5*q + 9482, 3172 = -124*y + 125*y + 4*q. Does 6 divide y?
False
Suppose 4*k - 20179 = -5*i + 26717, 3*k + 18 = 0. Does 24 divide i?
True
Is 17 a factor of 676 - ((2/(-4))/((-7)/14) + -5)?
True
Let x = 12 - 7. Suppose x*m - 180 - 313 = 4*t, 190 = 2*m + 2*t. Is m a multiple of 31?
False
Does 5 divide 4/(17110/8545 + -2)?
False
Let z(j) = -93 + 86 - 3*j + 17*j. Let q be z(6). Let i = -32 + q. Is i a multiple of 4?
False
Let u(i) = i**3 + 21*i**2 + 19*i - 26. Let p be u(-20). Is 63 a factor of (p*1)/((-5)/95)?
False
Suppose -5*n + 21 = -2*v - 37, -4*n - 2*v = -32. Suppose 15*m + 50 = -n. Is 24 a factor of (m/6 - 596/(-12)) + -1?
True
Let x = 2546 + 9214. Is x a multiple of 14?
True
Let c = 72 + -69. Suppose 4*u - 1648 = -u - o, -c*u + o = -992. Does 11 divide u?
True
Let j be -1*5*23 - -2. Suppose 16 = -d + 2*l, -l - 3 = -0. Let n = d - j. Is 13 a factor of n?
True
Suppose -2*l = -2*a + 63090, 7*l + 31509 = -33*a + 34*a. Is 15 a factor of a?
False
Suppose 2*j + 3*j - 70 = -5*d, -j - 82 = -5*d. Suppose 3*i - 22 = -d. Is (-2)/(i/(-4) - 729/(-1482)) a multiple of 27?
False
Suppose 3*w - 4*w + 11 = 3*x, -3*w = -2*x - 11. Suppose 2*j = x*g + 3*j - 179, -3 = -j. Does 11 divide g?
True
Let i = -28013 - -30499. Does 22 divide i?
True
Let f be (-6)/(-7) + (990/42)/(-3). Let t(s) = 10*s**2 - s + 59. Is 9 a factor of t(f)?
False
Let n(i) = 9*i**3 + i**2 + 8*i + 42. Let j be n(7). Suppose j = -20*k + 42*k. Is 13 a factor of k?
False
Let y(d) = -d**3 - 32*d**2 + 117*d + 87. Let o be y(-35). Let q = o - -861. Is q a multiple of 66?
True
Let l(v) = -v**3 - 5*v**2 + v - 4. Let i be 66/(-8) - (-1)/4. Let y be l(i). Let j = y + -69. Is j a multiple of 32?
False
Let n(z) = 19*z - 110. Let v be n(11). Suppose 5*j + 159 = 4*w - 264, j - v = -w. Is w a multiple of 9?
False
Let n be (1/(10/4))/(2/20). Suppose -y + 3*d + 230 = 0, n*y + 4*d = 5*y - 235. Is y a multiple of 16?
False
Suppose -69*g = -71*g + 1958. Let d = g - 898. Does 2 divide d?
False
Let k = -14516 - -29364. Suppose 170 = 4*n - 2*u, 486*n + 5*u = 481*n + 205. Does 2 divide (-4)/n + k/672?
True
Let p = 9 - 27. Let q = p + 20. Suppose -5*j = -0*r - 3*r - 394, q*r + 316 = 4*j. Is j a multiple of 17?
False
Let d(b) = -6*b**2 + b + 1. Let p be d(-1). Let z = -52 - p. Let y = z - -133. Does 12 divide y?
False
Let s = -2734 - -10734. Is 5 a factor of s?
True
Let c be (-2)/14 - -2*(-224)/(-49). Let n(u) = -9 + 2*u**2 - 3*u - 2*u + 0*u + 13. Is n(c) a multiple of 24?
False
Let t(p) = 3*p**3 + 7*p**2 + 11*p - 17. Let o be t(-6). Let q = -13 - o. Is 26 a factor of q?
False
Let o(g) = -g**3 + 2*g**2 + 10*g - 1. Let l be o(4). Suppose 8*w - 420 = -l*w. Is w a multiple of 14?
True
Is -6*((-189794)/44 - -1) a multiple of 241?
False
Let o(z) = z**3 - 2*z + 7. Let u be o(5). Suppose -32*s + 31*s = -u. Is s a multiple of 7?
False
Let b(o) = -197*o**3 - 5*o**2 - 26*o - 47. Is b(-2) a multiple of 40?
False
Let i(t) = t**3 + 23*t**2 - 81*t - 221. Is i(-20) a multiple of 113?
True
Let f(d) = -3*d**3 + 17*d**2 - 5*d - 24. Let j be f(7). Let m = j + 520. Is m a multiple of 53?
True
Let r be 6/9*18/4. Suppose -7283 = -3*i + d, -i = r*d - 1455 - 966. Suppose -i + 472 = -17*u. Is 23 a factor of u?
True
Let c(x) = -x**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
qrt(2) + 130
Simplify 2*(sqrt(1900)*-1 + 0)**2.
3800
Simplify (sqrt(15)/sqrt(3) + 2 - -4*sqrt(10)/sqrt(2))**2.
20*sqrt(5) + 129
Simplify (4*(sqrt(4500) - (sqrt(4500) + 1)) + -6*(sqrt(4500) + -1 - sqrt(4500)))**2.
4
Simplify (-3 + sqrt(2)*-3)**2 + 3.
18*sqrt(2) + 30
Simplify (sqrt(1053)*4 + -2 + -5)**2.
-504*sqrt(13) + 16897
Simplify (-4*(((sqrt(78) - 1*sqrt(78)) + sqrt(78))/sqrt(6) + -2 + sqrt(13)*2))**2.
-192*sqrt(13) + 1936
Simplify 1 + sqrt(12)*3.
1 + 6*sqrt(3)
Simplify (sqrt(3240) - (sqrt(3240) + sqrt(3240)*3 + sqrt(3240)))/sqrt(8).
-36*sqrt(5)
Simplify -5 + -2 + sqrt(95)/(sqrt(45) + sqrt(5)) + sqrt(19) + sqrt(133)/sqrt(112).
-7 + 3*sqrt(19)/2
Simplify ((sqrt(240)/sqrt(4)*-5)/(sqrt(1200)*2))**2.
5/16
Simplify sqrt(425) + (sqrt(425) - ((sqrt(425) - (-1 + sqrt(425))) + sqrt(425))**2) + -1.
-427
Simplify -5*(sqrt(4)/sqrt(2))**2 - (0 + (sqrt(16)/sqrt(8))**2).
-12
Simplify (sqrt(1617)*-1 - sqrt(1617))/sqrt(3).
-14*sqrt(11)
Simplify 6*(sqrt(96)/sqrt(2))**2.
288
Simplify (((sqrt(171)*2 - sqrt(171)) + sqrt(171) + sqrt(171))*1)/sqrt(9).
3*sqrt(19)
Simplify (sqrt(22) - (1*sqrt(176))/sqrt(8))/(sqrt(88)/sqrt(2)).
0
Simplify (sqrt(95)/sqrt(5) - sqrt(19)) + -4 + -2.
-6
Simplify -3*sqrt(1008)*-2.
72*sqrt(7)
Simplify 4*((sqrt(1700) - (sqrt(1700)*2)**2) + -3).
-27212 + 40*sqrt(17)
Simplify (sqrt(15)/sqrt(3) - sqrt(5)) + 5 + (sqrt(5) - (sqrt(80) + 0)**2).
-75 + sqrt(5)
Simplify -5*(sqrt(180) + 1 + -1).
-30*sqrt(5)
Simplify (-4*sqrt(4)/(sqrt(72)/sqrt(9)))**2.
8
Simplify -2*sqrt(175)*2*-4.
80*sqrt(7)
Simplify (((sqrt(95) + sqrt(95) + sqrt(95)*2 - sqrt(95)) + sqrt(95))*2)/(sqrt(5) - (sqrt(5) - (sqrt(120)/sqrt(4))/sqrt(6))).
8*sqrt(19)
Simplify 5*-3*sqrt(175).
-75*sqrt(7)
Simplify (-5 + (-1 + sqrt(832) - sqrt(65)/(sqrt(15)/sqrt(3))))*-6.
-42*sqrt(13) + 36
Simplify 1 + (sqrt(11) - (sqrt(891) + 1)**2).
-891 - 17*sqrt(11)
Simplify 6*(sqrt(76) + 2) + 4.
16 + 12*sqrt(19)
Simplify (sqrt(704) - (0 + sqrt(704) - sqrt(704)) - (2*sqrt(66) - sqrt(66))/sqrt(6))**2.
539
Simplify (sqrt(99) - (sqrt(99) - (2 + sqrt(99))))**2*-1.
-103 - 12*sqrt(11)
Simplify -6*sqrt(60)/(sqrt(12) - sqrt(96)/sqrt(8) - sqrt(12)).
6*sqrt(5)
Simplify sqrt(143)/(sqrt(11) + 2*sqrt(396))*-3.
-3*sqrt(13)/13
Simplify sqrt(2736)*1 + -5.
-5 + 12*sqrt(19)
Simplify sqrt(99)/((sqrt(9) + sqrt(90)/sqrt(10))*4 + sqrt(9)) + 4.
sqrt(11)/9 + 4
Simplify -4 + sqrt(7)*3 - (5 + sqrt(7)*2).
-9 + sqrt(7)
Simplify -5 + (sqrt(304) + 0)**2 + sqrt(2299)*-2*6.
-132*sqrt(19) + 299
Simplify (sqrt(190) + (sqrt(190) - sqrt(190)*1*-6) - sqrt(190))/sqrt(10).
7*sqrt(19)
Simplify -3 + (sqrt(112))**2 + -4.
105
Simplify sqrt(8)/(sqrt(32)/sqrt(8)) - (sqrt(66)/sqrt(3))/sqrt(11).
0
Simplify sqrt(153)/(sqrt(9) + (sqrt(9)*-2*-4 - sqrt(9)))*3.
3*sqrt(17)/8
Simplify (sqrt(1539) + -2 + -4)**2.
-108*sqrt(19) + 1575
Simplify (-1 + (sqrt(70) - -1*sqrt(70)*-1)/sqrt(10))**2.
1
Simplify ((sqrt(110) + 2*sqrt(110))/sqrt(10)*-4)**2.
1584
Simplify sqrt(500) + (-4 + sqrt(500) + 2*sqrt(500) + sqrt(500))**2 + sqrt(500) + ((0 + sqrt(500))**2 - sqrt(500))*6 + 2.
-360*sqrt(5) + 11018
Simplify 2*sqrt(9)/sqrt(3)*5.
10*sqrt(3)
Simplify sqrt(150)/sqrt(3)*2.
10*sqrt(2)
Simplify -1*sqrt(968) - (sqrt(128) + sqrt(128)*-1)**2.
-22*sqrt(2)
Simplify 3*(0 + sqrt(52)*2).
12*sqrt(13)
Simplify -3*(-4 + sqrt(42)/sqrt(6))**2*-4.
-96*sqrt(7) + 276
Simplify (-3 + sqrt(6)/sqrt(3) - 3*(sqrt(2) + 3))**2.
48*sqrt(2) + 152
Simplify 3 + (sqrt(1053) + -1 + sqrt(351)/sqrt(3))**2.
-24*sqrt(13) + 1876
Simplify (-1 + (sqrt(300) - (sqrt(300) - (-1 + sqrt(300)))*-6))**2.
100*sqrt(3) + 325
Simplify (3 + -5 + -1*sqrt(76))**2.
8*sqrt(19) + 80
Simplify (((sqrt(19) - sqrt(76)/sqrt(4)*-5) + 2 + sqrt(2736))*5)**2.
1800*sqrt(19) + 154000
Simplify (sqrt(48) - sqrt(48)*-3)**2*5.
3840
Simplify (1*sqrt(204)*-6 - sqrt(204) - sqrt(204))/sqrt(12).
-8*sqrt(17)
Simplify (3*(sqrt(162) + sqrt(162) + -1 + sqrt(162) + 1 + sqrt(162)))**2.
23328
Simplify (-1*(2*sqrt(1872) + (-2*sqrt(91))/sqrt(7)))**2.
6292
Simplify (sqrt(72) + (-2*(sqrt(72) + sqrt(72)*1 - sqrt(72)) - sqrt(72)))**2.
288
Simplify sqrt(8) + 3 + -2*sqrt(8).
-2*sqrt(2) + 3
Simplify -5*(-3 + sqrt(13)*1).
-5*sqrt(13) + 15
Simplify ((1*sqrt(684)*-2 + 5)*-6)**2.
-4320*sqrt(19) + 99396
Simplify ((sqrt(27) + 4)*1 + 5)**2.
54*sqrt(3) + 108
Simplify (sqrt(42)/(sqrt(6)*2*1))**2.
7/4
Simplify (-2*sqrt(7) + -1 - ((sqrt(70) - (sqrt(70) - (sqrt(70) - (sqrt(70)*3 + sqrt(70)))))/sqrt(10) + sqrt(7))) + 3.
2
Simplify (-2 + sqrt(13))**2*4*-4.
-272 + 64*sqrt(13)
Simplify ((sqrt(110)/(sqrt(11)*-1) - sqrt(10))/(sqrt(720)*-2))**2 + 2.
145/72
Simplify (1*sqrt(200) - (-1 + sqrt(98)))**2.
6*sqrt(2) + 19
Simplify -1 + -3*(sqrt(5) + 1).
-3*sqrt(5) - 4
Simplify 3 + (sqrt(77)/(sqrt(28)/(sqrt(16)/sqrt(4) + sqrt(4)) + sqrt(7)))**2.
71/9
Simplify (5*(sqrt(56) + (sqrt(56) - sqrt(1400))))/sqrt(8).
-15*sqrt(7)
Simplify sqrt(21)/(-1*sqrt(252)).
-sqrt(3)/6
Simplify (sqrt(2) - (sqrt(2)*-4 + sqrt(2))*-4) + 0.
-11*sqrt(2)
Simplify (sqrt(980) - (sqrt(980) - sqrt(980)*-2) - sqrt(980))/sqrt(4).
-21*sqrt(5)
Simplify (sqrt(68) - (-4*sqrt(68) + sqrt(68) + sqrt(68))*5)**2*-6.
-49368
Simplify sqrt(156)/(sqrt(12) - 2*sqrt(12)*-2).
sqrt(13)/5
Simplify sqrt(63) + -2 + (sqrt(7) + 2)*-2.
-6 + sqrt(7)
Simplify 5*(6*(sqrt(7) - sqrt(14)/sqrt(2))**2 + sqrt(7) + sqrt(7)).
10*sqrt(7)
Simplify 3 + ((sqrt(19) - (1 + sqrt(19)))*1 + sqrt(19) - 1*sqrt(1539)).
-8*sqrt(19) + 2
Simplify 1 + -2 + sqrt(833) + (sqrt(612) + sqrt(612) + -1)**2 + sqrt(612).
-11*sqrt(17) + 2448
Simplify (sqrt(153) + 2 - sqrt(153) - sqrt(153))**2 + sqrt(153) + 2.
-9*sqrt(17) + 159
Simplify 6*(-3*(sqrt(176)*-1 + sqrt(176)))**2.
0
Simplify (-3*sqrt(10)/sqrt(2))**2 + sqrt(320) + 1 + sqrt(320).
16*sqrt(5) + 46
Simplify sqrt(24)/(-1*sqrt(1200) - sqrt(12)).
-sqrt(2)/11
Simplify -6*(sqrt(200) + 0 - sqrt(200))**2 + (-2*sqrt(200) + sqrt(200))**2*2.
400
Simplify sqrt(84)/((sqrt(12) - 2*sqrt(12))*5).
-sqrt(7)/5
Simplify sqrt(1573)*-2 - -2*sqrt(637) - (2 + (-1*sqrt(637) - sqrt(637))).
-2 + 6*sqrt(13)
Simplify (sqrt(1700) + 1)**2 + (1 + sqrt(17) + -3 - sqrt(17))**2.
20*sqrt(17) + 1705
Simplify 6*(1*(-1*sqrt(325) - sqrt(325)))**2*2.
15600
Simplify (sqrt(5) + sqrt(5) + sqrt(40)/sqrt(8) + 2 - sqrt(55)/sqrt(275))**2.
56*sqrt(5)/5 + 216/5
Simplify sqrt(425) + (sqrt(425) - (2*sqrt(425))**2) + 3 - sqrt(425).
-1697 + 5*sqrt(17)
Simplify (5*(5 + sqrt(144)/sqrt(8)))**2.
750*sqrt(2) + 1075
Simplify -5*(0 + sqrt(288)).
-60*sqrt(2)
Simplify (6*(sqrt(684) + 0))**2*-4*-1.
98496
Simplify ((sqrt(1300) + 2)*-2)**2 + 2.
160*sqrt(13) + 5218
Simplify 4 + 6*((sqrt(76)/sqrt(4) - sqrt(19)) + sqrt(19))**2.
118
Simplify (-4*(sqrt(3) + sqrt(27)/sqrt(225))*2)**2.
6912/25
Simplify -2*(4 + -2*sqrt(405)).
-8 + 36*sqrt(5)
Simplify ((sqrt(153) + sqrt(153)*1 + 2 + sqrt(153) - sqrt(153))*-3)**2.
216*sqrt(17) + 5544
Simplify (sqrt(165)/sqrt(5))/sqrt(11) + (2 + sqrt(108))**2.
25*sqrt(3) + 112
Simplify (sqrt(6897)*2)/(sqrt(9)/sqrt(12)).
44*sqrt(19)
Simplify sqrt(6)/(sqrt(72)/sqrt(4)).
sqrt(3)/3
Simplify (sqrt(3) - sqrt(18)/sqrt(24)) + 3.
sqrt(3)/2 + 3
Simplify 5 + -2 + sqrt(7)*-1.
-sqrt(7) + 3
Simplify -5 + 5*(sqrt(17) - sqrt(1700)).
-45*sqrt(17) - 5
Simplify 6*((-1*sqrt(98) - sqrt(98) - sqrt(98)) + -3)**2.
756*sqrt(2) + 5346
Simplify (sqrt(152)/(sqrt(4) + sqrt(24)/sqrt(6)))/(sqrt(162)*-3).
-sqrt(19)/54
Simplify (-2*sqrt(504) - sqrt(504))/sqrt(7).
-18*sqrt(2)
Simplify -5 + sqrt(112) + sqrt(7)*1 + 4.
-1 + 5*sqrt(7)
Simplify 5 + (sqrt(252)/(-3*sqrt(4)) - sqrt(63)).
-4*sqrt(7) + 5
Simplify (6*(sqrt(88) - (sqrt(88) + 3*sqrt(88)) - sqrt(88)) + sqrt(88))/sqrt(8).
-23*sqrt(11)
Simplify -4*(sqrt(1539)*4)**2*-4.
393984
Simplify -5 + sqrt(171) + 5.
3*sqrt(19)
Simplify (sqrt(112) + sqrt(112) + sqrt(112)*-1 + 3 - (sqrt(112) + 3*((sqrt(112)*2)**2 + sqrt(112))))*-2.
24*sqrt(7) + 2682
Simplify ((sqrt(119) + (sqrt(119) + sqrt(119)*1)*-2)/(6*sqrt(21)/sqrt(3)))**2.
17/4
Simplify 2*(0 + sqrt(68)).
4*sqrt(17)
Simplify sqrt(5) + (sqrt(5) - (sqrt(500) - (1 + sqrt(500))))**2 + (sqrt(100)/sqrt(2))/sqrt(10).
6 + 4*sqrt(5)
Simplify (sqrt(125) + -2*sqrt(125))*6 + 1.
-30*sqrt(5) + 1
Simplify sqrt(21)/(sqrt(300)*1 + sqrt(3)).
sqrt(7)/11
Simplify ((1*sqrt(432) - sqrt(432))*1 + (-1 + sqrt(432) + sqrt(432))*6)**2.
-1728*sqrt(3) + 62244
Simplify 1 + sqrt(68) + -5 + sqrt(153).
-4 + 5*sqrt(17)
Simplify ((5*(sqrt(171) + s
|
{
"pile_set_name": "DM Mathematics"
}
|
Let g = -68 - -67. Let t = q + g. What is the nearest to 0 in 0, t, -2/5?
0
Let j(n) be the first derivative of n**3/3 - 2*n**2 + 3*n - 1. Let i be j(2). What is the closest to i in -0.5, 2/11, 5?
-0.5
Let a = 158 - 156. What is the nearest to 2 in 3, a, -2?
a
Suppose 0 + 12 = -3*i. Let x = 9.1 + -9. What is the closest to -0.2 in x, i, 1?
x
Let t = -41 - -41. Let k = 3 - 7. Let l be 1/(-2)*(0 + 0). Which is the nearest to t? (a) k (b) 1/4 (c) l
c
Let i(x) = -x**2 - 9*x - 6. Let c be i(-8). What is the nearest to 1 in -1, c, 0.5?
0.5
Let g be (-6)/(-9) - 4/(-12). What is the closest to g in 1, 1/4, 0.3?
1
Let g = -0.9 + -0.1. Let r = -1 + 2.5. Let m = r + -0.5. Which is the nearest to g? (a) 0 (b) 0.4 (c) m
a
Suppose 5 + 3 = -4*m. Let s = 6 - 5.6. Which is the closest to 0.1? (a) s (b) 5 (c) m
a
Let z = 0.3 - 5.3. Let i = z + 4. Let c = 4 - 3. What is the nearest to i in c, -5, -1?
-1
Suppose -3*x - 9 = -0. Let q = 6 - 6.2. What is the closest to -1 in x, q, -2/5?
-2/5
Let j = 5/16 + -1/16. Let h = 2.6 + 0.4. Which is the closest to 0.1? (a) 0.1 (b) j (c) h
a
Let n = -37 + 36. Let j(o) = -o**3 + 4*o**2 - 1. Let i be j(4). Which is the closest to n? (a) i (b) -4 (c) -0.1
a
Suppose 0*m = -x + 5*m + 6, 0 = -5*x + 3*m - 14. What is the nearest to 1/4 in -1, 0.1, x?
0.1
Let m = -0.3 - 0.1. Let o = m - -0.9. Let u = -0.4 + o. What is the nearest to u in -2, 2/3, -5?
2/3
Let m = -96 - -95. Which is the closest to -2/9? (a) 0.3 (b) -0.4 (c) m
b
Let d = 24 + -23. Which is the closest to 1? (a) -0.5 (b) 2 (c) d
c
Let b = -7.4 + 7.1. What is the nearest to 1 in -2/9, b, -5?
-2/9
Let s be 10/40 - 6/56. Which is the nearest to -0.2? (a) -1 (b) s (c) -2/5
c
Let y = 1 + 5. Let n = 1 - y. Which is the closest to -2/5? (a) n (b) 4 (c) 2/9
c
Let d = 2.2 + -1.8. What is the nearest to -1/5 in 0.3, 1/7, d?
1/7
Let s be 3/21*(-4 - -1). Which is the nearest to -2/7? (a) 0.2 (b) -2 (c) s
c
Let u = -1.2 + 1. Let s = 0 + -1. Let g = 5 - 4. What is the nearest to s in u, g, -2?
u
Suppose -4*h = 7 - 3. Let l = h + 4. Suppose g - 2*v + 9 = -1, 0 = -2*g + l*v - 15. What is the nearest to g in -2, -0.3, -5?
-0.3
Let z = 0.052 - 9.252. Let o = z + 9. Which is the nearest to o? (a) -0.1 (b) 1 (c) -5
a
Let y = -34.9 - -35. Which is the nearest to y? (a) 4/3 (b) -4/5 (c) 1/6
c
Suppose 5 = 5*s, 3*m - 2*s - 14 = -m. Suppose m*g - 21 = 5*k, -4*k - 8 = -3*g + 2*g. Which is the nearest to k? (a) -3/5 (b) 0.1 (c) -0.1
a
Suppose -3*n + 3 - 9 = 0. Which is the nearest to n? (a) 3/2 (b) 0 (c) 0.2
b
Let c be 2*9/(-6)*1. Let a = -5 + 10. What is the nearest to 0.1 in c, 1, a?
1
Let w be 1*2*1/2. Let c = -0.27 + 0.07. Let a = 0.05 - 0.05. What is the closest to a in c, 4, w?
c
Let v = -61.9 + 62. What is the nearest to -5 in -1, 0.4, v?
-1
Let v = 0.01 + -2.01. Let j = 5/76 - -87/988. What is the nearest to -0.1 in j, 0.4, v?
j
Let x = 0 - 8. Let a = x + 6.4. Let l = -0.4 + a. What is the nearest to 0 in -0.5, 2/19, l?
2/19
Let f = 187.5 + -187. Which is the nearest to 4? (a) f (b) -3 (c) -0.2
a
Let t be (2 - 1)/(2/(-3)). Let p(l) = 5*l + 10. Let f be p(-9). Let y = 106/3 + f. Which is the nearest to y? (a) 1/2 (b) t (c) 1
a
Let z = 16805/86796 - -2/2411. Let m = z + 1/36. What is the nearest to 2/5 in 2, -4, m?
m
Let b be (-325)/546 + (-2)/(-12). What is the nearest to -0.1 in -0.2, 4, b?
-0.2
Let j = 0.038 + -26.038. Let l = j + 26.2. Which is the nearest to -3? (a) -2/15 (b) l (c) 2/5
a
Let t be 3/(-9)*(-2916)/(-20). Let v = t + 49. Suppose 3*j + 5 + 4 = 0. What is the closest to -2/9 in j, -0.1, v?
-0.1
Suppose 7*c = 2*c. Let x = 3 - c. Let h be 4*x/(2 - 44). What is the nearest to h in -3/4, -1/2, -4?
-1/2
Let k be (-5)/9*4/(-10). Let y = -0.04 - -13.04. Let n = y + -8. Which is the closest to k? (a) n (b) 0.2 (c) -5
b
Let z = -20 - -26. Let i = -7 + z. What is the closest to i in -0.5, 1/8, -0.07?
-0.5
Let h = -0.5 + 1. Let o = 102 + -100. Which is the nearest to 2/11? (a) o (b) 3 (c) h
c
Let m = -160 - -160.1. Let r = 6 + -1. Let i = 5 - 9. Which is the nearest to m? (a) r (b) i (c) 0.4
c
Let u(j) = -j. Let l be u(5). Let f = -0.53 - 0.07. Let d = -0.5 - f. Which is the closest to -1/4? (a) d (b) l (c) -0.2
c
Let y be 32/(-72) + (-22)/(-9). What is the nearest to y in 1/4, -5, -3?
1/4
Let t = 1 + 0. Suppose 2*s + 2*n = 30, -3 = -2*n + 3*n. Let p be (-4)/s - (-128)/252. What is the closest to 1 in 2, t, p?
t
Let z = -2 + 1. Let f = -53.2 + 53. What is the nearest to z in 3/4, f, 0?
f
Let k = 43 - 47.3. Let x = k + -0.7. Which is the nearest to 2/5? (a) 4 (b) 0 (c) x
b
Suppose -3*j - 41 + 7 = -5*u, 0 = 5*j - 3*u + 30. Let h = -86 - -84.01. Let a = 0.01 - h. What is the nearest to a in -5, j, -1/2?
-1/2
Let i be (-1)/10*(-20)/(-8). Let s = 0.7 + 1.3. Which is the nearest to -1/2? (a) s (b) 0.1 (c) i
c
Let w = -0.6 + 0.35. Let z = 0.05 - w. What is the closest to -1 in 4, 1, z?
z
Let n = -3.07 - -0.07. What is the closest to -2/3 in n, 0, 7?
0
Let q be 16/14 + -4 + 2. Which is the closest to 1? (a) -0.2 (b) -0.5 (c) q
a
Let g be 0 + (64/(-20))/4. What is the nearest to -1 in -1/10, g, 0.1?
g
Let w = -0.02 + -0.28. What is the closest to -1 in 1, w, -5?
w
Suppose 2*c - 3 = -4*p - 19, 3*p = -c - 10. Let x = 4.7 - 0.7. What is the nearest to -1 in -1, c, x?
-1
Let z = -1.32 - -0.12. Let n = z - -1.75. Let m = n - 0.05. What is the nearest to -0.1 in m, 2/9, 1?
2/9
Let h = -0.8 + 0.3. Let l = 0.4 + 0. Which is the nearest to -1/3? (a) 2/7 (b) h (c) l
b
Let f = 39 - 38. What is the nearest to 0 in -2/3, 0, f?
0
Suppose 4*i - 5 = -5*j, -5*j = 5*i - j - 4. Let k = -1 + 3. Suppose i - k = -n. Which is the closest to -2/5? (a) -1 (b) n (c) -2
a
Let t = -7 + 7.4. Let u = 0.6 + t. What is the nearest to -1 in u, 2/3, -0.5?
-0.5
Let p = -117 - -1757/15. Let x be (-16)/6 - 11/33. Let s be (x/51)/((-4)/(-8)). What is the nearest to -1 in p, s, -3?
s
Let m = -12 - -7. Let u = -15 - -14. Which is the closest to u? (a) m (b) -1/5 (c) -0.5
c
Suppose -5*q = -0*q - 2*y - 10, 2*y = -4*q + 26. Which is the nearest to -2? (a) 1/6 (b) -2/7 (c) q
b
Suppose 0 = -3*i + 2*x - 0*x + 20, -3*x = 3*i. Which is the closest to -3/2? (a) 1/8 (b) i (c) 0.3
a
Let x = -83 - -81. Which is the nearest to x? (a) -2 (b) 2 (c) -1/3
a
Let s = -29 - -26. Let j = 1.2 - 1. What is the closest to j in s, -0.4, -0.2?
-0.2
Suppose 0 = 5*g - 5, 2*t - 6*t + 6 = 2*g. Let w = 2 - 1. Let d be w/2 + (-27)/42. Which is the closest to -0.1? (a) 3/4 (b) d (c) t
b
Let g = 3 + -3.4. Let v be 4*2/4 + 2. Let r = -12 + 12. What is the nearest to 0 in r, g, v?
r
Let n = 391 + -390. Let f be 1 + -1 + 1 + -4. Let m be 4/(2 + 10/2). What is the closest to n in f, -0.1, m?
m
Let l be 2/(-4)*(-1 - -5). Suppose -5*p - 2*q - 26 = 0, -2*p + 4*p = 4*q + 4. Which is the nearest to 1/3? (a) l (b) 1 (c) p
b
Let i be 4*(-5)/2190*-3. What is the nearest to 0.1 in 5, i, 2?
i
Let p = -6 + 5.9. Let u = -9 + 9.2. Let r be (-4)/10*(0 - -2). Which is the nearest to p? (a) r (b) 1 (c) u
c
Let w = 16 + -15.8. What is the closest to -1 in w, 3, 0.5?
w
Let h = -5.11 + 0.11. Let x = 10 - 10.2. Which is the nearest to -1? (a) x (b) h (c) -0.4
c
Let p = 8 - 6.4. Suppose -2 = 2*s, 6 = -f - 0*s - 5*s. Which is the nearest to 0? (a) f (b) 0.5 (c) p
b
Let a = -3.97 - 0.03. Let x = -0.173 + 0.073. What is the closest to x in 4, a, -2/15?
-2/15
Let x = 25/2 + -53/4. Let g = -0.1 + -0.2. What is the closest to -0.1 in x, g, -2/17?
-2/17
Let d = 0 - -0.1. Let l = 1.94 - -0.06. Let m be (-8)/(-2) + (-34)/8. What is the nearest to m in -4, l, d?
d
Let y = 0 + 1. Let f = -23 + 22. Let a = f - y. What is the nearest to a in 1, 1/3, 1/8?
1/8
Let o be ((-4)/4*6)/1. Let x be (-7)/o*9/(-14). What is the closest to 1 in x, 2/3, 0.4?
2/3
Let c = -4794/2821 - -52/31. Let g = 83/364 - c. What is the closest to -0.1 in 1/2, g, -2?
g
Let p = -5.12 + 0.12. What is the closest to 0.1 in 8, p, 2/5?
2/5
Let v = -0.89 - -4.89. Which is the closest to 2/7? (a) 0.3 (b) -14 (c) v
a
Let p = 1.5 + -2. Let s = -0.2 - -0.3. What is the closest to s in 1/6, 0.4, p?
1/6
Let i be 1/12*3*-2. Let x(m) = -4*m - 4. Let s be x(7). Let g be 2/(s/6 - -2). Which is the nearest to 2/5? (a) g (b) -1 (c) i
c
|
{
"pile_set_name": "DM Mathematics"
}
|
372, 299, 194?
-m**3 - m**2 - 3*m + 464
What is the i'th term of 33, 70, 109, 150, 193, 238, 285?
i**2 + 34*i - 2
What is the k'th term of -264, -250, -218, -162, -76, 46, 210?
k**3 + 3*k**2 - 2*k - 266
What is the r'th term of -26, -34, -40, -44, -46?
r**2 - 11*r - 16
What is the z'th term of -856, -1712, -2568?
-856*z
What is the z'th term of -22, -61, -124, -211, -322?
-12*z**2 - 3*z - 7
What is the r'th term of -47, -90, -129, -164, -195?
2*r**2 - 49*r
What is the l'th term of -13, 17, 97, 251, 503, 877?
4*l**3 + l**2 - l - 17
What is the t'th term of -11, -20, -17, 4, 49, 124, 235?
t**3 - 16*t + 4
What is the s'th term of 254, 510, 766, 1022, 1278, 1534?
256*s - 2
What is the o'th term of 65, 55, 33, -7, -71, -165, -295, -467?
-o**3 - 3*o + 69
What is the c'th term of 681, 683, 687, 693?
c**2 - c + 681
What is the i'th term of 26, 49, 60, 53, 22, -39?
-i**3 + 30*i - 3
What is the k'th term of -16, -70, -210, -478, -916, -1566, -2470?
-7*k**3 - k**2 - 2*k - 6
What is the g'th term of -5, -24, -43, -62, -81?
-19*g + 14
What is the u'th term of -1256, -2515, -3778, -5045, -6316?
-2*u**2 - 1253*u - 1
What is the v'th term of 45, 130, 263, 438, 649, 890?
-v**3 + 30*v**2 + 2*v + 14
What is the j'th term of 196, 195, 194?
-j + 197
What is the h'th term of -603, -604, -605, -606?
-h - 602
What is the a'th term of -483, -946, -1409?
-463*a - 20
What is the d'th term of -667, -1333, -2001, -2671, -3343, -4017?
-d**2 - 663*d - 3
What is the w'th term of 141, 173, 207, 243, 281, 321, 363?
w**2 + 29*w + 111
What is the h'th term of -27, -56, -85, -114, -143?
-29*h + 2
What is the b'th term of -230, -233, -242, -257, -278, -305, -338?
-3*b**2 + 6*b - 233
What is the a'th term of 8, 9, 8, 5, 0, -7?
-a**2 + 4*a + 5
What is the h'th term of -275, -315, -369, -431, -495?
h**3 - 13*h**2 - 8*h - 255
What is the r'th term of -170, -286, -402, -518?
-116*r - 54
What is the z'th term of 11, 9, 3, -13, -45?
-z**3 + 4*z**2 - 7*z + 15
What is the u'th term of -2379, -2389, -2411, -2451, -2515, -2609, -2739, -2911?
-u**3 - 3*u - 2375
What is the z'th term of -15, -21, -9, 27, 93, 195, 339?
z**3 + 3*z**2 - 22*z + 3
What is the v'th term of 17, -1, -65, -199, -427?
-4*v**3 + v**2 + 7*v + 13
What is the u'th term of -41, -42, -45, -50, -57, -66?
-u**2 + 2*u - 42
What is the l'th term of 1272, 2543, 3814, 5085?
1271*l + 1
What is the r'th term of 6, 70, 250, 606, 1198?
10*r**3 - 2*r**2 - 2
What is the o'th term of -3709, -3710, -3711, -3712?
-o - 3708
What is the s'th term of 3, -4, -11?
-7*s + 10
What is the t'th term of 25, 52, 79, 106?
27*t - 2
What is the z'th term of 617, 618, 619?
z + 616
What is the k'th term of 11, 45, 79?
34*k - 23
What is the t'th term of -97, -159, -177, -145, -57, 93?
t**3 + 16*t**2 - 117*t + 3
What is the f'th term of -6744, -6751, -6762, -6777?
-2*f**2 - f - 6741
What is the c'th term of -142, -171, -200?
-29*c - 113
What is the u'th term of -238, -481, -724, -967, -1210, -1453?
-243*u + 5
What is the r'th term of 3603, 7203, 10803, 14403, 18003, 21603?
3600*r + 3
What is the c'th term of -53, -130, -229, -350, -493, -658?
-11*c**2 - 44*c + 2
What is the b'th term of 458, 1837, 4134, 7349, 11482?
459*b**2 + 2*b - 3
What is the k'th term of -679, -675, -671, -667, -663, -659?
4*k - 683
What is the n'th term of -106, -158, -306, -598, -1082, -1806, -2818?
-8*n**3 + 4*n - 102
What is the p'th term of 81, 68, 51, 30, 5?
-2*p**2 - 7*p + 90
What is the s'th term of -52, -40, -14, 32, 104, 208, 350, 536?
s**3 + s**2 + 2*s - 56
What is the s'th term of 17, 18, 21, 26?
s**2 - 2*s + 18
What is the d'th term of -17, -16, -15?
d - 18
What is the n'th term of -569, -2261, -5091, -9065, -14189, -20469, -27911?
-n**3 - 563*n**2 + 4*n - 9
What is the p'th term of -334, -332, -330, -328?
2*p - 336
What is the c'th term of 217, 347, 503, 697, 941?
2*c**3 + c**2 + 113*c + 101
What is the z'th term of 128, 256, 384, 512?
128*z
What is the l'th term of 16, 7, -16, -59, -128, -229, -368, -551?
-l**3 - l**2 + l + 17
What is the k'th term of -238, -248, -258?
-10*k - 228
What is the h'th term of -180, -740, -1678, -2988, -4664, -6700?
h**3 - 195*h**2 + 18*h - 4
What is the m'th term of -189, -198, -209, -222, -237, -254?
-m**2 - 6*m - 182
What is the i'th term of -119, -81, -43?
38*i - 157
What is the k'th term of 196, 194, 192, 190, 188?
-2*k + 198
What is the k'th term of 0, -22, -58, -108, -172, -250?
-7*k**2 - k + 8
What is the r'th term of 1065, 1064, 1061, 1056, 1049, 1040?
-r**2 + 2*r + 1064
What is the a'th term of 293, 1162, 2611, 4640, 7249?
290*a**2 - a + 4
What is the i'th term of 102, 105, 108, 111?
3*i + 99
What is the h'th term of -1025, -1023, -1021?
2*h - 1027
What is the i'th term of 7, -3, -37, -107, -225, -403, -653?
-2*i**3 + 4*i + 5
What is the v'th term of -357, -359, -361?
-2*v - 355
What is the d'th term of 91, 151, 209, 265, 319?
-d**2 + 63*d + 29
What is the k'th term of -98, -194, -292, -398, -518, -658, -824?
-k**3 + 5*k**2 - 104*k + 2
What is the l'th term of -15, -52, -113, -198?
-12*l**2 - l - 2
What is the p'th term of -125, -129, -135, -143, -153, -165?
-p**2 - p - 123
What is the s'th term of 535, 537, 539, 541?
2*s + 533
What is the k'th term of -345, -1381, -3115, -5553, -8701, -12565, -17151, -22465?
-k**3 - 343*k**2 - 1
What is the g'th term of -2, -2, 4, 16?
3*g**2 - 9*g + 4
What is the j'th term of 19, 16, -3, -50, -137, -276?
-2*j**3 + 4*j**2 - j + 18
What is the y'th term of -55, -70, -101, -154, -235, -350?
-y**3 - 2*y**2 - 2*y - 50
What is the h'th term of -51, -33, -17, -3, 9, 19?
-h**2 + 21*h - 71
What is the m'th term of 102, 203, 310, 423, 542, 667, 798?
3*m**2 + 92*m + 7
What is the n'th term of -1, 31, 97, 197, 331, 499?
17*n**2 - 19*n + 1
What is the m'th term of -17, -69, -163, -305, -501?
-m**3 - 15*m**2 - 1
What is the o'th term of -109, -436, -987, -1768, -2785?
-o**3 - 106*o**2 - 2*o
What is the y'th term of 624, 631, 632, 621, 592, 539?
-y**3 + 3*y**2 + 5*y + 617
What is the t'th term of -483, -966, -1451, -1938?
-t**2 - 480*t - 2
What is the b'th term of 6, 10, 14, 18, 22, 26?
4*b + 2
What is the b'th term of -181, -704, -1579, -2812, -4409, -6376, -8719?
-b**3 - 170*b**2 - 6*b - 4
What is the i'th term of 10, 8, 4, -2?
-i**2 + i + 10
What is the g'th term of 1305, 2569, 3831, 5091, 6349, 7605?
-g**2 + 1267*g + 39
What is the g'th term of -22, -35, -44, -49, -50, -47, -40?
2*g**2 - 19*g - 5
What is the x'th term of 92, 188, 284?
96*x - 4
What is the p'th term of 28, 97, 214, 385, 616, 913, 1282, 1729?
p**3 + 18*p**2 + 8*p + 1
What is the y'th term of -518, -513, -508?
5*y - 523
What is the y'th term of -83, -74, -77, -98, -143, -218, -329, -482?
-y**3 + 16*y - 98
What is the x'th term of 76, 100, 162, 280, 472, 756, 1150?
3*x**3 + x**2 + 72
What is the b'th term of -11724, -23452, -35180, -46908, -58636, -70364?
-11728*b + 4
What is the o'th term of 10699, 10700, 10701?
o + 10698
What is the f'th term of 172, 389, 606, 823?
217*f - 45
What is the u'th term of -887, -892, -899, -908, -919?
-u**2 - 2*u - 884
What is the d'th term of 439, 876, 1313, 1750, 2187?
437*d + 2
What is the f'th term of -4, -60, -122, -190, -264, -344, -430?
-3*f**2 - 47*f + 46
What is the j'th term of 113, 236, 361, 488?
j**2 + 120*j - 8
What is the z'th term of 342, 686, 1030, 1374?
344*z - 2
What is the a'th term of 659, 656, 653?
-3*a + 662
What is the x'th term of 150, 144, 138?
-6*x + 156
What is the r'th term of -125, -271, -429, -605, -805, -1035?
-r**3 - 139*r + 15
What is the x'th term of 97, 178, 259, 340, 421?
81*x + 16
What is the a'th term of 360, 637, 916, 1197, 1480, 1765?
a**2 + 274*a + 85
What is the u'th term of 36, 25, -6, -69, -176, -339, -570?
-2*u**3 + 2*u**2 - 3*u + 39
What is the b'th term of 426, 819, 1212, 1605, 1998, 2391?
393*b + 33
What is the c'th term of 450, 924, 1398, 1872, 2346?
474*c - 24
What is the s'th term of 195, 203, 225, 267, 335?
s**3 + s**2 - 2*s + 195
What is the u'th term of 213, 427, 641?
214*u - 1
What is the z'th term of -27, -58, -89, -120, -151?
-31*z + 4
What is the f'th term of 107, 426, 959, 1706, 2667, 3842?
107*f**2 - 2*f + 2
What is the p'th term of -14239, -28477, -42715, -56953, -71191?
-14238*p - 1
What is the o'th term of 39, 85, 131?
46*o - 7
What is the m'th term
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 921. Let f be w(6). What is f*n(v) - 6*s(v)?
15*v**3
Let t(p) = p**2 + 6*p - 10. Let b(u) = 3*u**2 + 5*u - 9. Calculate -6*b(v) + 5*t(v).
-13*v**2 + 4
Let d(b) = -13*b - 3. Let a(y) = -13*y - 4. Give -5*a(s) + 4*d(s).
13*s + 8
Let l be 2/4 - 552/(-48). Let x(s) = 11*s - s**2 + 0*s**2 - l*s. Let r = 26 + -8. Let d(m) = 15*m**2 + 18*m. Calculate r*x(f) + d(f).
-3*f**2
Let k(j) = 2*j**2 + 61*j - 5. Let v(o) = o**2 + 65*o - 6. Calculate -6*k(s) + 5*v(s).
-7*s**2 - 41*s
Suppose 2*c - 335 = 2*m - 347, 3*m = 2*c + 16. Let u(f) = -3*f - 3 + 1 + f. Let z(x) = x**2 - 7*x - 7. What is c*z(o) + 7*u(o)?
-2*o**2
Let w(a) = a**2 - 1. Let m(q) = 7*q**2 - 4. Let z be (((-4)/(-6))/1)/(75/450). Calculate z*w(g) - m(g).
-3*g**2
Let q(u) = -2*u**3 + 3*u - 147. Let f(x) = -2*x**3 + 4*x - 148. Give 3*f(z) - 4*q(z).
2*z**3 + 144
Let y(a) be the first derivative of -5*a**4/2 - 2*a**3 - 3*a**2 - 109. Let w(b) = -10*b**3 - 5*b**2 - 5*b. What is -6*w(t) + 5*y(t)?
10*t**3
Let i(q) = 2 - 25*q + 5*q - 3 + 0. Let a(p) = 61*p + 4. Calculate -2*a(t) - 7*i(t).
18*t - 1
Let i(t) be the third derivative of -t**4/24 + t**2 + 6*t. Let s(r) = 3*r**2 + 15*r - 3. What is 15*i(n) + s(n)?
3*n**2 - 3
Let b(j) = 1395*j**2 - 45*j + 45. Let f(w) = -127*w**2 + 4*w - 4. Calculate -4*b(t) - 45*f(t).
135*t**2
Suppose 5 + 9 = 7*j. Let t(l) = -25*l + 55. Let p(x) = -8*x + 18. Let g(b) = j*t(b) - 7*p(b). Let i(h) = -h + 3. Calculate -3*g(v) - 16*i(v).
-2*v
Let s(r) = r + 2. Let w(z) = -9*z + 15. What is -6*s(k) - w(k)?
3*k - 27
Let z(x) = -2*x + 4. Let c(j) = -16*j + 13. Determine 2*c(u) - 7*z(u).
-18*u - 2
Let l(s) = -15*s + 63. Let j(n) = 8*n - 35. Let a(i) = 7*j(i) + 4*l(i). Let y(g) = g - 2. Calculate 2*a(k) + 7*y(k).
-k
Let i(z) = z + 2. Let k(r) = 3 + 3 + 0 - 4 - 3. Calculate i(p) + 5*k(p).
p - 3
Let n(h) = -8*h**2 + 5*h. Let i(p) = 5*p**2 - 3*p**2 + 8*p - 9*p**2 - 4*p. Give 6*i(q) - 5*n(q).
-2*q**2 - q
Let a(h) = 6*h**3 + 2*h**2 + 3*h. Let b(k) = k**3 - k**2 - k. What is -a(y) - 4*b(y)?
-10*y**3 + 2*y**2 + y
Let q(i) = -13*i**2 + 15*i - 3. Let z(b) = -12*b**2 + 13*b + 1. What is -5*q(l) + 6*z(l)?
-7*l**2 + 3*l + 21
Let y(q) be the third derivative of 5*q**4/8 + 11*q**3/6 + q**2 + 143. Let f(j) = 5*j + 4. Determine 17*f(z) - 6*y(z).
-5*z + 2
Let o(u) be the first derivative of 2*u**2 - u - 39. Let p(l) = 8*l - 3. Determine 5*o(h) - 2*p(h).
4*h + 1
Let n(t) = -7*t**2 + 2*t + 5. Let d = -10 - -14. Let y(z) = 4 - 2*z + 0*z + d*z + 0*z - 6*z**2. Let b = 119 + -125. Determine b*y(h) + 5*n(h).
h**2 - 2*h + 1
Let l(w) = -15*w + 198. Let z(r) = -8*r + 98. Determine 6*l(x) - 11*z(x).
-2*x + 110
Let t(x) = 1. Suppose 9 = 3*w - 9. Let b(z) = -5*z - 3. What is w*t(m) + 2*b(m)?
-10*m
Let x(b) be the first derivative of b**2/2 + 6*b - 145. Let c(h) = -h - 5. What is 2*c(i) + 3*x(i)?
i + 8
Let a(m) = -21*m - 10. Let u(q) = 8*q + 3. What is -2*a(y) - 7*u(y)?
-14*y - 1
Let h(j) = 1. Let v(t) = 266*t - 6. What is 4*h(b) + v(b)?
266*b - 2
Let i(s) = -s**2 - 3*s. Let g = 500 - 504. Suppose -4*a = 3 - 15. Let d(z) = -z**2 - 4*z. Calculate a*d(x) + g*i(x).
x**2
Let h(i) = i**2 - 10*i - 43. Let x be h(-3). Let d(z) = 6*z**3 + 4*z**2 - 4*z. Let m(v) = -6*v**3 - 3*v**2 + 3*v. What is x*m(n) - 3*d(n)?
6*n**3
Let l(b) = 21*b**2 + 25*b. Let t(u) = -14*u**2 - 17*u. Give -5*l(h) - 7*t(h).
-7*h**2 - 6*h
Let c be (0 - 1)*(8 - 11). Let u be 4 + ((-3)/(-1))/3. Let y(w) = 3 - u - 1 + w. Let r(q) = -2*q + 4. What is c*r(s) + 4*y(s)?
-2*s
Let h(m) = -7*m**3 + 15*m**2 + 11*m + 23. Let p(b) = -b**3 - b**2 + b + 3. Let g(w) = h(w) - 6*p(w). Let v(k) = k**3 - 11*k**2 - 3*k - 3. Give -3*g(j) - 5*v(j).
-2*j**3 - 8*j**2
Let a(y) = -y. Let h(t) = 5*t + 9. Let n be h(-5). Let d = 18 + n. Let c(w) = -d - 4 + 4 + 20*w - 8*w. Determine 10*a(j) + c(j).
2*j - 2
Let w(c) = 2*c - 1. Suppose -11 - 17 = 4*z. Let u = z - -10. Let d(h) = -3*h + 1. Let x be (-2)/(-3)*90/12. Determine u*d(r) + x*w(r).
r - 2
Let r(u) = u**2 - 2*u - 2. Let i(n) = -n**3 + 9*n**2 - 19*n + 2. Let x be i(6). Let t(h) = h**2. Give x*t(v) + r(v).
-3*v**2 - 2*v - 2
Let q(m) = -7*m**2 + 65*m + 1. Let i(j) = 6*j**2 - 51*j. Give 5*i(y) + 4*q(y).
2*y**2 + 5*y + 4
Let m(s) = -8*s**2 + s + 7. Let b(u) = -u**2 + 1. Let f(j) = 22*j**2 - 3*j - 19. Let k(l) = b(l) - f(l). Determine -6*k(x) + 17*m(x).
2*x**2 - x - 1
Let c(j) = 12*j**2 - 8*j - 6. Let m(s) = 11*s**2 - 6*s - 5. Calculate 2*c(o) - 3*m(o).
-9*o**2 + 2*o + 3
Let o(k) = -5*k**3 + 4*k**2 + 4*k. Let u(c) = 0*c - 68*c**3 + 58*c**3 + 9*c**3 + c**2 + 0*c. Determine o(g) - 4*u(g).
-g**3 + 4*g
Let r(j) = -4*j**3 - 3*j**2 - 4*j + 3. Let d(h) = 320 + 7*h**2 - 171 - 156 + 9*h**3 + 7*h. Give 3*d(n) + 7*r(n).
-n**3 - 7*n
Let n(j) = -9*j**3 - 13*j**2 + 11*j - 13. Let l(i) = 4*i**3 + 6*i**2 - 6*i + 6. Determine -13*l(v) - 6*n(v).
2*v**3 + 12*v
Let r(z) = -2 + 35*z**3 + 2*z**2 + z - 44*z**3 + 10*z**3. Let p(o) = -o**3 - 3*o**2 - 2*o + 3. What is -4*p(m) - 6*r(m)?
-2*m**3 + 2*m
Let l(i) = 3*i - 4*i**2 - 3*i - 1 - 7*i. Let u(t) = -t**2 - 2*t. Suppose -5*d + 4*d = -5*a + 3, -a + 30 = 4*d. Determine d*u(w) - 2*l(w).
w**2 + 2
Let x(c) = -c + 2 - 6 + 9 - 5. Suppose 3*i = -i + 8. Let u(g) = -6*g**2 - 5*g - 1. Let n(p) = p**2 + p. Let l(m) = -14*n(m) - 2*u(m). What is i*x(f) - l(f)?
2*f**2 + 2*f - 2
Let p(f) = -29*f - 57. Let s(j) = 44*j + 87. Give -7*p(v) - 5*s(v).
-17*v - 36
Let u(a) = 6*a - 3. Let c(w) = -2*w + 1. Let q(d) = 7*c(d) + 2*u(d). Let l(j) = -4*j + 1. Determine -2*l(k) + 5*q(k).
-2*k + 3
Let v(f) = -6*f - 29. Let t(g) = -2*g - 1. What is 4*t(x) - v(x)?
-2*x + 25
Let l(t) = -109*t**2 - 16*t - 3. Let v(g) = -35*g**2 - 5*g - 1. Calculate 2*l(h) - 7*v(h).
27*h**2 + 3*h + 1
Let d(y) = 5*y + 29. Let h(q) = 17*q + 294. Let x be h(-17). Let g(n) = -3*n - 19. Determine x*d(t) + 8*g(t).
t - 7
Let x(l) = -11*l**2 - 96*l + 2. Let u(t) = -4*t**2 + t + 1. What is -2*u(q) + x(q)?
-3*q**2 - 98*q
Let r(h) = 3*h**2 + 3*h + 3. Let o(v) = -5*v**2 - 7*v - 7. Let g = 775 - 779. Determine g*o(p) - 9*r(p).
-7*p**2 + p + 1
Let o(f) = -53156*f**3 + 2329*f**2 - 2329. Let g(t) = 137*t**3 - 6*t**2 + 6. What is -2329*g(y) - 6*o(y)?
-137*y**3
Let q(z) = z + 7. Let n(m) = -m**3 + 3*m**2 + 39*m + 9. Let w be n(8). Let k(v) = -v + 1. Determine w*q(h) - 6*k(h).
7*h + 1
Let b(w) = -14*w - 13. Let m(j) = -7*j - 35. Let k(q) = 4*q + 16. Let x(c) = 7*k(c) + 3*m(c). Determine -6*b(f) - 11*x(f).
7*f + 1
Let h(j) = -j**2 - j - 1. Let u(t) = -4*t**2 - 3*t - 3. Let i = -36 + 37. Let g be (i/(-2))/(4/8). Let y be 2 - 1 - (-3 + 1). Give g*u(s) + y*h(s).
s**2
Let c(o) = -o**2 + o. Let m be (6/4)/((-325)/50 - -5). Let d(t) = 2*t**3 - 4*t**2 + 6*t - 4. What is m*d(f) + 4*c(f)?
-2*f**3 - 2*f + 4
Let m(b) = -b**2 - b + 1. Let u(g) = 5*g**2 + 2*g - 3. Let y(v) = -4*m(v) - u(v). Let p(f) = -2*f**2 + 2*f - 1. What is 2*p(z) - 3*y(z)?
-z**2 - 2*z + 1
Let u(k) = 1. Let i = -609 + 627. Let m(a) = 5*a + 9. What is i*u(g) - 2*m(g)?
-10*g
Suppose -3 = a - 4*t, 0 = -a - a + 5*t + 9. Let h(n) = 11*n - 11*n + a*n + 15*n. Let c(k) = -13*k. Calculate 12*c(s) + 5*h(s).
4*s
Let y(c) be the third derivative of 0*c + 6*c**2 + 0 + 5/24*c**4 - 1/3*c**3. Let b(q) = -6*q + 3*q + 2*q. Give -3*b(o) - y(o).
-2*o + 2
Let r(z) = -5*z**3 + 5*z**2 + 5*z. Let p(j) = 6*j**3 - 6*j**2 - 7*j. Determine -2*p(y) - 3*r(y).
3*y**3 - 3*y**2 - y
Let z(s) = 5*s + 1. Let v(b) = -2*b. Let h(i) = 3*v(i) + z(i). Let f(m) = 4*m + 3. Give f(q) - h(q).
5*q + 2
Let g(r) = 2*r - 2. Let x(z) = z + 1. Let q(h) = -6*h - 4. Let b(o) = -3*q(o) - 15*x(o). Let j(y) = 3*b(y) - 5*g(y). Let a(p) = 9*p - 4. Give -a(v) - 5*j(v).
-4*v - 1
Let f(q) = -21*q - 5. Let m be -3 - 4/((-28)/21) - 4. Let u(h) = 10*h + 2. Calculate m*f(w) - 10*u(w).
-16*w
Let p(t) = 33*t**3 + 17*t + 17. Let s(f) be the third derivative of -f**6/30 - f**4/12 - f**3/3 + 112*f**2 - 2*f. Determine 6*p(x) + 51*s(x).
-6*x**3
Let y(q) = 43*q**2 - 4*q. Let v(c) = -c**2 + c. Determine 3*v(b) + y(b).
40*b**2 - b
Let l(v) = v - 10. Let g be l(12). Let m(n) = -4*n + n - g*n + 2*n. Let r(f) = f**2 + f. Suppose w + 6 + 8 = 4*t, 2*w + 4*t - 20 = 0. Calculate w*r(y) + m(y).
2*y**2 - y
Let z(d) be the first derivative of -d**2/2 + 78. Let n(a) = a**2 + 5*a. Let g be n(-2). Let w(c) = 2*c + 1 - 3 + 3. What is g*z(i) - 2*w(i)?
2*i - 2
Let v(k) = k**2 + k - 1. Let t(s) = 60*s**2 + 55*s
|
{
"pile_set_name": "DM Mathematics"
}
|
a. Let w(x) = x - 3. Let i be w(5). Let b be s(i). Calculate the remainder when ((-2)/(-4))/((-1)/b) is divided by 5.
3
Suppose 4*b - 3*r - 86 = 2*r, -5*b - 5*r = -85. Calculate the remainder when b is divided by 16.
3
Suppose -4*s = -3*k + 197, -6*k + 5*k = -5*s - 62. Suppose -4*y = -r - 2*r + 29, -2*y = -5*r + k. What is the remainder when 44 is divided by r?
14
Let o(b) = 5*b**3 + b**2 - b + 1. Let a be o(1). Let v(w) = 2*w. What is the remainder when 22 is divided by v(a)?
10
Suppose 2*d - 3*d = -12. Let j = 9 + -6. Suppose -j*h + 35 = 2*h. What is the remainder when d is divided by h?
5
Let w = 23 - -8. Calculate the remainder when w is divided by 7.
3
Suppose 2*c = -10, -7*l + 180 = -2*l - 4*c. Let k = -30 + 48. What is the remainder when l is divided by k?
14
Let y be 22/(-18) + 4/18. Let u be ((-42)/2)/3*y. Calculate the remainder when 50 is divided by (-121)/(-7) + (-2)/u.
16
Let w(b) = -7*b - 6. Let m(n) = 8*n + 7. Let u(a) = -4*m(a) - 5*w(a). Let t = 2 - -1. What is the remainder when 31 is divided by u(t)?
9
Suppose l = 10 + 4. Suppose -12 + 3 = -3*f. Suppose 0 = -0*h - f*h + 15. Calculate the remainder when l is divided by h.
4
Suppose 3*z = 5*h - 0*z - 70, 4*h + 2*z = 56. Let f(u) = u**2 - 3*u + 8. What is the remainder when f(6) is divided by h?
12
Let y = 34 - 22. Suppose 66 = 5*b - 2*b. Calculate the remainder when b is divided by y.
10
Let t(f) = 8*f - 3. Suppose 5*m = 6 + 4. Suppose -m*r - 15 = -5*r. What is the remainder when t(r) is divided by 13?
11
Let u = -17 - -22. What is the remainder when 7 is divided by u?
2
Let c = -2 + 3. Suppose -c = n + 4*v + 2, 4*v = -4*n. Let y(o) = -o**3 + 13*o**2 + 12*o + 30. What is the remainder when y(14) is divided by n?
0
Let t = 115 - -15. What is the remainder when t is divided by 33?
31
Suppose 70 = 5*l - 15. Calculate the remainder when l is divided by 7.
3
Suppose 2*r - 70 = -5*r. What is the remainder when 17 is divided by r?
7
What is the remainder when 2 + (-3)/(-6)*106 is divided by (-1)/(-1*(-3)/(-42))?
13
Let m(i) be the third derivative of 7*i**4/12 - i**3/6 + 2*i**2. Let l be ((-3)/(-2))/((-6)/(-16)). Calculate the remainder when m(l) is divided by 19.
17
Let a = -5 + 46. What is the remainder when a is divided by 24/6*14/4?
13
Suppose 8*f - 4*f - 12 = 0. What is the remainder when f is divided by 1?
0
Let s = -29 + 43. Suppose 0 = -3*g + 9 + 9. Calculate the remainder when g is divided by (-20)/(-35)*s/4.
0
Let r = -7 - -32. What is the remainder when r is divided by 9?
7
Let m be 2/(-2) + -1 + -12. Let t = m + 20. Suppose -4*f + 28 = 3*f. What is the remainder when t is divided by f?
2
Let d(v) = -v**2 - 24*v + 8. Let w be d(-14). Suppose 3*x + w = 7*x. Calculate the remainder when x is divided by -1*2*(-13)/2.
11
Suppose 4*u - 4 - 156 = 0. Calculate the remainder when 116 is divided by u.
36
Let z = -93 + 108. Calculate the remainder when z is divided by (-16)/(-2 - 0)*1.
7
Let m = 28 + -14. Suppose -70 = 3*r - 4*r. What is the remainder when m is divided by (-18)/24 + r/8?
6
Let m(j) = -j**2 + 3*j + 4. Let y be m(5). Calculate the remainder when (-2)/y + 16/24 is divided by 1.
0
Let t = 1 + 1. Suppose -3*a + 2*a - 20 = t*n, -5*a - 40 = -5*n. What is the remainder when (4/a)/((-2)/90) is divided by 8?
7
Let b be ((-10)/3)/((-2)/66). Suppose -g = 4*g - b. What is the remainder when g is divided by 240/8*4/10?
10
Let n = 344 + -312. Let x = 10 + 1. Calculate the remainder when n is divided by x.
10
Let w = 27 + -13. What is the remainder when 41 is divided by w?
13
Let v be (3/(-6))/((-2)/20). Suppose 0 = 5*u + v - 0. What is the remainder when u/(-5) - (-78)/10 is divided by 3?
2
Let x(p) = 7*p**2 - 4*p + 9. What is the remainder when x(2) is divided by 5?
4
Suppose -5*z - m + 110 = 0, 0 = -z + m - 0*m + 28. Suppose 0 = 3*g - 31 - 8. Calculate the remainder when z is divided by g.
10
Let g = 9 - 3. Suppose -5*h + 12 = -h. Suppose h*k - 2*k - 16 = 0. Calculate the remainder when k is divided by g.
4
Suppose -5*h + 5*s + 95 = 0, 2*h + s - 44 = -3*s. What is the remainder when 55 is divided by h?
15
Suppose -12*y + 9*y + 147 = 0. Calculate the remainder when y is divided by 10.
9
Calculate the remainder when 61 is divided by ((-48)/(-9))/((-7)/(-42)).
29
Suppose 0*x + 5*x - 115 = 0. What is the remainder when 89 is divided by x?
20
Let t be (1/(-1))/(-1) + 5. Suppose -2*s = 2*x - s - 21, 2*x - 15 = 5*s. Calculate the remainder when x is divided by t + (1 + 3)/(-2).
2
Calculate the remainder when 11 is divided by (2/(-1))/(2/(-7)).
4
Let z(s) = -s**3 - 3*s**2 + 9*s + 4. What is the remainder when z(-6) is divided by 20?
18
Suppose 13 = -4*v + 3*r, -4*v - 3*r + 3 = -2. Calculate the remainder when 8 - 9 - 42/v is divided by 22.
19
Suppose -5*n + 80 = -n. Suppose 0 = m - n - 11. What is the remainder when m is divided by 16?
15
Suppose -131*p = -126*p - 115. Calculate the remainder when 108 is divided by p.
16
Let a = 61 - 40. What is the remainder when 60 is divided by a?
18
Let s = 26 + -43. Let y = 12 + s. Let u = y - -16. Calculate the remainder when 32 is divided by u.
10
Let o(y) be the second derivative of y**5/10 - y**4/4 - y**3/3 + 2*y**2 + 2*y. Let x = 10 + -1. What is the remainder when o(3) is divided by x?
7
Let b = 2388 + -1410. Calculate the remainder when (-2)/(-5) - b/(-30) is divided by 9.
6
Let v = 41 - 19. Calculate the remainder when v is divided by 7.
1
Let v = 2 - -4. Let d(y) = -y**3 + 8*y**2 - 6*y - 7. Suppose -3 + 19 = 2*w. What is the remainder when d(v) is divided by w?
5
Let z be 3*(-4)/(-12) - -12. Let m = -1 + z. What is the remainder when 34 is divided by m?
10
Suppose v + 3*j = -3*v + 134, 4*v - 3*j - 122 = 0. Let c = -16 + v. Let p(d) = d**2 + 2*d - 1. Calculate the remainder when p(6) is divided by c.
15
Let i(r) = -12*r - 5. What is the remainder when i(-2) is divided by 12?
7
Suppose 0 = 5*v - 4*a - 76 - 36, 8 = 4*a. Calculate the remainder when 47 is divided by v.
23
Suppose h + h - 68 = 0. Suppose 166 = 4*f + h. Let c(m) = 3*m - 13. What is the remainder when f is divided by c(10)?
16
Let d be -1*(-1 + 0)*-3. Calculate the remainder when 19 is divided by -22*((-21)/6 - d).
8
Let m = 38 + -17. Let u = -11 + 15. Let h = u + m. What is the remainder when h is divided by 7?
4
Suppose 0 = 3*o - 8*o. Suppose 5*k = -2*w + 12 + 10, -4*k = o. Calculate the remainder when ((-19)/3 + 1)*-6 is divided by w.
10
Suppose 4*f - 20 = -4*t, -4*t + 20 = 2*f + 2. Suppose m = -t*m. Suppose -x + g + 23 = m, -x - 5*g + 30 = 7. What is the remainder when 68 is divided by x?
22
Let x(z) = 2*z**2 + 5*z + 18. Let u(v) = -v**2 - 3*v - 9. Let j(a) = -9*u(a) - 4*x(a). Calculate the remainder when j(-8) is divided by 2/5 - 129/(-15).
8
Let c(n) = n**3 - 9*n**2 - 9*n - 8. Let u be c(10). Suppose 34 = -2*r + u*g + 108, -3*r = -5*g - 101. What is the remainder when r is divided by 11?
9
Let x(m) = m**3 - 2*m**2 - 3*m + 3. Let y = -9 - -12. Let f be x(y). Suppose -15 = -3*i, -34 = -f*a + 3*i + i. What is the remainder when 53 is divided by a?
17
Let n(i) = -i**2 + 12*i + 12. What is the remainder when n(9) is divided by 21?
18
Let o(z) = -1. Let u(d) = -5*d + 2. Let g(c) = 6*o(c) - u(c). What is the remainder when g(6) is divided by 12?
10
What is the remainder when 1/(-6) + 875/30 is divided by 8?
5
Suppose -604 + 44 = -35*j. What is the remainder when ((-78)/(-7))/((-2)/(-14)) is divided by j?
14
Suppose 4*j - 9 = 23. Let k(o) = -13*o - 6. Let r be k(-7). Suppose 3*f - 18 + 3 = 0, -5*f - r = -5*z. Calculate the remainder when z is divided by j.
6
Let b(j) = -j**3 - 6*j**2 - 6*j - 7. Calculate the remainder when 84 is divided by b(-6).
26
Let w = 29 + -20. Calculate the remainder when 34/((2 + -3)*-2) is divided by w.
8
Let a(q) = 2*q**3 + q**2 - q + 1. Suppose 2*p + 3*l = -33, 8 = 5*l + 33. Let x be (-2)/p - (-32)/18. Calculate the remainder when a(x) is divided by 7.
5
What is the remainder when ((-54)/4)/((-18)/120) is divided by (-92)/(-10)*(-10)/(-4)?
21
Let b = 19 + -13. Suppose b*t - 2*t = 16. What is the remainder when 10/(-25) + 114/10 is divided by t?
3
Let f(r) = -r**3 - 16*r**2 + 37*r + 22. Suppose -5*k + k = -260. Suppose -5*m = 5*b - k, 4*m - 2*b = -b + 62. What is the remainder when m is divided by f(-18)?
3
Suppose -4*l + 204 = 4*n, n + 3*l - 6 - 37 =
|
{
"pile_set_name": "DM Mathematics"
}
|
the form s*k + u*k**3 + v + t*k**2 + w*k**4 and give v.
-4
Express (2*t**3 - 5*t**3 + 2*t**3)*(0*t + 0*t - 2*t) + 11*t**3 - 235*t**4 + 16*t**4 - 11*t**3 in the form n + w*t**2 + i*t**4 + h*t**3 + u*t and give w.
0
Rearrange -4*a**3 + 5*a**3 + 3*a**3 + (-5 + 3 + 4)*(0*a**3 - a**3 + 3*a**3) + 7*a**3 - a**3 - 7*a**3 to the form y*a + n*a**3 + o*a**2 + b and give o.
0
Express 3*n + 2 - 1 - 2 + (0 + 7 - 1)*(6*n + 0*n - 5*n) in the form i*n + z and give i.
9
Express ((-4 - 3 + 6)*(-8*n - 9*n + 23*n) - 4*n + n + 4*n)*(-5*n + 0*n + 4*n) in the form t*n + q + l*n**2 and give l.
5
Express 2*v**3 + 13 - 29*v - 3*v**3 + 31*v + 2*v**3 as r*v**3 + h*v**2 + g*v + k and give r.
1
Express (-a + 3*a + a)*(2*a + 3*a - 2*a)*(-2 + a**2 + 2) as w*a + p*a**2 + m*a**3 + k + r*a**4 and give m.
0
Express 0 - 3*j**4 + 0 - j**3 + 2*j**4 + 6*j as r*j**2 + l*j**3 + f*j + o + p*j**4 and give f.
6
Express -15*s + 9*s + 6*s - 41*s + 1 as d + w*s and give w.
-41
Rearrange -2*o + 5*o - 3*o + 8*o to the form p*o + t and give p.
8
Express -2*t**2 - 15 - 3*t**3 + t**3 - 2*t + 8*t**4 + 14 + 4*t**2 as i*t**2 + s*t**3 + y*t**4 + b + g*t and give g.
-2
Rearrange -9 + 3*m - m**3 + 0*m**2 + 4 - 2*m**2 + 4*m**2 to b + z*m**3 + c*m**2 + n*m and give n.
3
Rearrange r - 2*r**2 - 5*r + 3*r to the form v*r**2 + s*r + h and give v.
-2
Rearrange -5*m**2 + 23*m**2 + 7*m - 7*m to d*m + s + a*m**2 and give a.
18
Rearrange (6 - 8 + 2*g + 4*g)*(-2*g - 2*g + 2*g) to the form l + t*g**2 + v*g and give v.
4
Express (0*x - x - 2*x)*(2*x - 2*x + 4*x**3) + x**2 + 4*x**4 - 15*x**4 + 29*x**4 in the form h*x**3 + w*x + g*x**2 + k*x**4 + v and give k.
6
Express 5*i - 3*i**3 - 6*i + 7*i**2 - 2*i**3 + 2*i**3 as n*i**2 + f*i + b*i**3 + o and give f.
-1
Express 6*n**2 + 3*n**3 - 6*n**2 - 2 - n**2 - 3*n**2 in the form b*n**3 + s*n + v*n**2 + t and give b.
3
Rearrange (0*k**4 + k**4 + k**4)*(33 - 11 - 10) to the form s*k**3 + c + a*k + h*k**4 + p*k**2 and give p.
0
Rearrange (-12 + 17 + 18)*(-2 + 2 + 3*g) to the form k*g + n and give k.
69
Express -7*i**3 + 30 - 3*i**3 - 33 in the form z + h*i**2 + l*i + d*i**3 and give z.
-3
Express -b**4 - 4*b**4 + 12*b**4 + (2*b**4 + 4*b - 4*b)*(-1 + 6 - 2) as u*b + g*b**3 + t*b**4 + f*b**2 + c and give t.
13
Express -2*y**2 + 12 - 14*y**2 - 2*y**3 - 12 as p*y**3 + q + n*y + d*y**2 and give p.
-2
Rearrange -2*u**4 + u**2 - 1 + 0*u**2 + 5*u**4 + 0 to y*u**3 + m*u**4 + z*u + r*u**2 + d and give r.
1
Express ((1 + 2 + 0)*(-2 + 2 - 1) + 2 - 3 + 0)*(23*l - 23*l - 6*l**4) in the form u*l**2 + z*l**3 + d*l**4 + h + r*l and give d.
24
Rearrange -12*r - 2*r**2 + 9*r + 7*r to m*r + w + x*r**2 and give x.
-2
Express 2 + 7*t**2 - t**2 - 3 - 2*t**2 in the form n*t**2 + b + p*t and give n.
4
Rearrange 4*c**2 - 2*c**2 - c**2 + c**2 + 0*c**2 - 6*c**2 + (0*c - 5*c + 3*c)*(23 - 23 - 27*c) to x*c + d*c**2 + u and give u.
0
Express (0*h**2 + 0*h**2 - 3*h**2)*(25*h + 15*h - 8*h) in the form z*h**3 + q*h + f*h**2 + j and give q.
0
Rearrange (3*z + 2*z - 3*z)*(1 - 3 + 3)*(1 + 1 + 0)*(7 - 11 - 3) to a*z + w and give a.
-28
Express 0*a**2 + 7*a**2 - 2*a - 3*a**2 + 8*a**2 in the form t*a + d + n*a**2 and give d.
0
Express -20 - 109*i + 56*i + 52*i as q + y*i and give y.
-1
Express (-2*b**2 + 3*b**2 - 2*b**2)*(17*b + 25*b - 7*b) as a*b + k + m*b**3 + d*b**2 and give m.
-35
Express (-2 + t**3 + 2)*(6 + 14 + 2*t - 16) in the form h*t**3 + v*t**2 + b*t**4 + j*t + m and give b.
2
Rearrange -k**2 - 3 - 2 + 3 + 6*k**2 to the form g + l*k**2 + d*k and give g.
-2
Rearrange 3 + 52*r**2 - 36*r**2 - 3 to p*r + b*r**2 + c and give b.
16
Rearrange 4*h**2 - 2*h**3 + 2 - 172*h - 9*h**4 + 172*h to the form y*h + j*h**4 + u + c*h**2 + m*h**3 and give j.
-9
Rearrange (0 + 5 + 1)*(-k + 3*k - k)*(3 - 3 + 1)*(-3*k**2 + 2*k**2 + 4*k**2) to x*k + h + z*k**3 + y*k**2 and give y.
0
Express (9 + 38 - 13)*(2*z - 5*z + z) in the form m + w*z and give w.
-68
Express -3*h + 17*h - 15*h + 3*h**2 + 9*h**3 in the form o*h**3 + x*h + q + w*h**2 and give x.
-1
Express (2*l - l + 11*l)*(2 - 2*l - 2 - l + 0 + 0 - 3*l + 5*l - 4*l + (1 - 1 + l)*(-2 + 2 + 1) - l - 1 + 1) as o*l + d*l**2 + w and give d.
-60
Express -20*d**3 + 1 - 1 + (-4*d**3 - 4 + 4)*(-2 + 1 + 0) as x*d**3 + z*d + m + w*d**2 and give x.
-16
Rearrange 5*b**2 - 2*b**2 - 2*b**2 + (8 + 7 - 4)*(-3*b**2 + 2*b**2 + 0*b**2) to k + d*b + s*b**2 and give k.
0
Express 43*m**2 - 12*m**2 + 18*m**2 + 6*m**2 in the form n*m**2 + c + x*m and give n.
55
Rearrange -9*i**3 + 11*i**3 - i**2 + 2*i - 3*i to q*i**2 + o*i**3 + f*i + b and give f.
-1
Rearrange -13*w**3 + 6*w**4 + 6 - w + 15*w**3 - 3*w**4 to b + l*w**3 + f*w**4 + c*w + n*w**2 and give c.
-1
Express -7 + 6 + 1 + 4*j in the form b + w*j and give w.
4
Express 4*h**2 + h**4 - 3 + 7 - 6 + 2*h**3 as d*h**4 + t*h + c*h**2 + y + r*h**3 and give d.
1
Rearrange -2*t**2 + 4*t**2 - 2*t - 3*t**2 to u*t**2 + a + k*t and give u.
-1
Rearrange (3*f + 5*f - 4*f)*(19*f - 19*f + 4*f**2) + (0 + 4 - 2)*(-2*f**3 - f**3 + f**3) to o + p*f**2 + y*f**3 + c*f and give o.
0
Express -s - 2*s**2 - 57 + 8*s + 30 + 30 in the form t*s**2 + y + g*s and give g.
7
Express 5 - 29*u - 5 - u**2 + 10*u as n + m*u + g*u**2 and give m.
-19
Express 4259*b - 4259*b + 19*b**2 in the form q*b**2 + m*b + v and give q.
19
Rearrange -198 + 10*p**2 + 198 to u*p + w + y*p**2 and give y.
10
Rearrange 3*o**2 + 155*o**2 + 101*o**2 - 52*o**2 to the form u + w*o + p*o**2 and give p.
207
Express -48 + 48 - 6*h**2 as c*h + q + y*h**2 and give y.
-6
Rearrange 1 - k - 1 + 35*k to the form q + v*k and give v.
34
Rearrange -9*a - 8*a + a**3 - 2*a**2 + 13*a to t*a**2 + s*a + d + x*a**3 and give s.
-4
Express 3802*l + 2 - 3802*l - 4*l**4 + 9*l**2 + 3*l**2 in the form f*l + a*l**3 + h + c*l**2 + y*l**4 and give c.
12
Express -265*a**2 + 1 + 265*a**2 - 2*a**3 + 6*a as l*a**3 + n*a**2 + v*a + t and give l.
-2
Rearrange 20*c - 49*c - 52*c + 14*c to v*c + z and give v.
-67
Express o**2 - 15*o**2 - 3*o**2 - 10*o**2 as u*o**2 + z + c*o and give z.
0
Rearrange 7*h**3 + 8*h**2 - 10*h**2 + 2*h - 4*h**3 to d*h + l*h**3 + r*h**2 + m and give r.
-2
Rearrange 0*b**4 + 0*b**4 - b**4 + (3*b**3 - 3*b**3 + 2*b**3)*(-6*b + b + 0*b) to v + t*b + u*b**3 + p*b**2 + c*b**4 and give c.
-11
Express 812 - i**3 + 2*i**3 - 810 + 12*i in the form r*i**2 + c*i + y + h*i**3 and give y.
2
Rearrange (0 + 0 + b)*(b - 5*b + 3*b) - 74*b + 0 + 6*b**2 + 1 + 75*b to p*b + m*b**2 + k and give p.
1
Express -4*n**4 - 2*n**3 - 15*n**2 + 3 + 17*n**2 - 4 as f + z*n**4 + g*n + b*n**3 + c*n**2 and give f.
-1
Express 18*p + 9*p - 24*p as q + y*p and give y.
3
Rearrange -3*d**2 - 22*d**2 + 38 - 40 to i*d**2 + o*d + z and give z.
-2
Rearrange (-6*n - 8*n**2 + 6*n)*(n - 12*n + 0*n) to y*n**2 + g + d*n + w*n**3 and give g.
0
Express 10*o - 13*o + 29*o + 78*o in the form x*o + t and give x.
104
Rearrange (1 - 4 - 1)*(7 - 4 - 4)*(-7*y + 8*y - 22*y) to r + g*y and give g.
-84
Express 9*p + 18*p - 5*p in the form y + i*p and give y.
0
Express 6*i**2 - 23 + 25 - 2*i + 2*i**2 - i**3 in the form k*i**2 + s + z*i**3 + y*i and give y.
-2
Rearrange 483 - 133*g**2 - 483 to m*g + b*g**2 + l and give b.
-133
Rearrange 1 + 15*h - 16*h - 1 to u + d*h and give d.
-1
Rearrange -24*b**2 - 2*b - 2 - 22*b**2 + 54*b**2 + (b - 2*b - b)*(-b + 2*b - 3*b) to j + k*b + l*b**2 and give l.
12
Express (-2*a + 2*a + a)*(-4*a + 4*a - 4*a) + 10*a**2 + 8*a**2 - 19*a**2 - a + 2 as u + q*a**2 + y*a and give y.
-1
Rearrange -17 + 17 + 9*i**2 + (i**2 + i**2 + i**2)*(-2 + 5 - 2) - i + i - 2*i**2 to m*i**2 + j + z*i and give m.
10
Rearrange -39*c**2 + 27*c**2 + 24*c**2 to the form x + r*c + u*c**2 and give u.
12
Express (12*z + 1 + 17*z - 32*z)*(5*z - 4*z - 3*z) in the form t*z + f + i*z**2 and give t.
-2
Express -4*r**3 + 0*r**3 + 4*r**3 + 2*r**2 + 5*r**3 as s*r + y + a*r**2 + c*r**3 and give a.
2
Express -10*m**3 + 4*m**4 - 1 - 3*m**4 - m**2 + 11*m**3 in the form w*m**2 + p*m + o + r*m**3 + c*m**4 and give w.
-1
Express (7 - 2 + 2)*(2 + 3*p - 2) in the form z + v*p and give v.
21
Express ((-m + 0*m + 0*m)*(m + 5*m - 4*m) + (-3*m + 2*m + 2*m)*(3*m - 3*m - m))*(-3*m + 3*m + 3*m)*(-3 + 1 + 7) as z*m + i + d*m**2 + s*m**3 and give s.
-45
Rearrange 33*d - 2*d**3 + 6*d**3 - 24*d**3 - 35*d to m*d + h + u*d**2 + s*d**3 and give m.
-2
Express -c - 2*c - 8*c in the form s*c + x and give s.
|
{
"pile_set_name": "DM Mathematics"
}
|
-20
Let i(g) = -11*g**3 - 978*g**2 + 1087*g - 185. Calculate i(-90).
-815
Let t(a) = 16878*a - 50152. Calculate t(3).
482
Let h(t) = -12*t**2 - 13*t + 1397. Calculate h(-10).
327
Let y(u) = 4925*u - 9891. Calculate y(2).
-41
Let m(y) = 3*y**2 + 418*y - 169144. Give m(-317).
-183
Let s(c) = 7*c**2 + 1032*c - 2090. What is s(2)?
2
Let c(f) = -2*f**2 + 340*f + 2077. Calculate c(173).
1039
Let f(w) = 2*w**3 + 517*w**2 - 2372*w - 1250. Give f(-263).
65
Let k(h) = -1479*h - 20729. Determine k(-14).
-23
Let b(h) = 3*h**2 + 2024*h + 15999. Give b(-8).
-1
Let x(j) = -1344*j - 12093. What is x(-9)?
3
Let m(c) = c**2 - 80*c - 1091. Calculate m(87).
-482
Let h(b) = -b**2 + 103*b + 11628. What is h(-68)?
0
Let b(z) = -71*z**2 + 2474*z - 14876. Calculate b(6).
-2588
Let d(u) = u**3 - 2387*u**2 - 21751*u - 1683. Determine d(-9).
0
Let q(h) = -9926*h**2 + 387081*h + 1283. Determine q(39).
-4
Let l(v) = -6282*v + 62714. Give l(10).
-106
Let n(z) = z**3 - 39*z**2 - 496*z - 1365. Give n(-6).
-9
Let c(u) = -u**2 - 425*u + 2587. Give c(6).
1
Let z(w) = 15*w**2 + 2650*w - 93007. Give z(30).
-7
Let o(y) = 41982*y + 2267023. Calculate o(-54).
-5
Let t(d) = 718*d - 10525. Give t(15).
245
Let p(l) = l**2 + 11*l - 468. What is p(31)?
834
Let o(a) = 6521*a - 41450. Give o(6).
-2324
Let g(k) = 76*k - 6310. Determine g(73).
-762
Let p(a) = -75*a - 6609. What is p(-84)?
-309
Let h(s) = 15876*s + 32382. Calculate h(-2).
630
Let p(z) = -3*z**2 - 44*z + 56. What is p(17)?
-1559
Let p(s) = 2*s**3 + 20*s**2 - 4*s + 3467. What is p(0)?
3467
Let g(q) = -q**2 + 171*q - 6743. What is g(61)?
-33
Let v(j) = j**2 - 182*j - 2831. Calculate v(-16).
337
Let s(c) = -182*c**2 + 12349*c - 37039. Give s(3).
-1630
Let q(s) = -3*s**3 + 180*s**2 - 7*s + 915. Calculate q(60).
495
Let q(d) = 1153*d + 82842. What is q(-72)?
-174
Let x(n) = -34*n**2 + 3893*n + 9936. What is x(117)?
-9
Let v(l) = 234*l + 19998. Determine v(-95).
-2232
Let k(p) = p**3 + 11*p**2 + p - 322. What is k(0)?
-322
Let b(v) = -17923*v + 179220. Determine b(10).
-10
Let v(o) = o**3 - 63*o**2 + 703*o - 127. Determine v(49).
706
Let i(r) = r**2 - 28980*r + 86927. Give i(3).
-4
Let w(l) = -1333*l + 75844. Calculate w(57).
-137
Let y(n) = -108*n**2 + 156*n - 9. Determine y(1).
39
Let o(v) = 20*v**3 + 115*v**2 + 12*v + 35. What is o(-6)?
-217
Let r(f) = -12*f**3 - 12*f**2 + 44*f + 45. Determine r(-2).
5
Let x(m) = 14*m**2 + 564*m + 5028. Calculate x(-27).
6
Let f(y) = -357059*y - 2142348. Determine f(-6).
6
Let p(k) = -41*k**2 - 4*k + 343. Determine p(6).
-1157
Let b(f) = 4389*f - 100857. Determine b(23).
90
Let x(c) = c**3 + 350*c**2 - 24595*c + 2044. Calculate x(-410).
-6
Let n(y) = 106*y + 4964. Determine n(-58).
-1184
Let v(z) = 5878*z + 1496. Calculate v(0).
1496
Let o(v) = 2318*v - 21079. What is o(9)?
-217
Let a(i) = 21*i**2 + 1875*i + 7522. Calculate a(-85).
-128
Let t(c) = -c**3 - 13*c**2 + 724*c + 12866. Give t(-18).
1454
Let b(f) = -7679*f - 1512744. Determine b(-197).
19
Let c(w) = w**3 - 69*w**2 - 977*w + 404. What is c(81)?
-1
Let j(k) = -4031*k - 64724. Determine j(-16).
-228
Let s(y) = -y**3 - 237*y**2 - 528*y - 13638. Give s(-235).
-8
Let n(p) = 123*p + 11696. Give n(-91).
503
Let h(y) = 6*y**2 - 7658*y + 187696. Give h(25).
-4
Let h(j) = -44387*j - 1154091. Give h(-26).
-29
Let q(m) = -4*m**3 + 26*m**2 + 116*m - 802. Give q(8).
-258
Let s(i) = 4062*i + 1112972. Determine s(-274).
-16
Let y(n) = 2425*n + 657177. Calculate y(-271).
2
Let p(l) = 26*l**3 - 95*l**2 + 249*l - 1151. Determine p(4).
-11
Let v(y) = -163*y**2 - 17440*y + 348. What is v(-107)?
241
Let j(t) = -23*t - 7574. Calculate j(-332).
62
Let r(q) = q**2 + 86*q - 43. What is r(18)?
1829
Let p(i) = 74*i + 11006. Give p(-130).
1386
Let y(r) = 358*r - 32824. What is y(92)?
112
Let z(h) = h**3 - 9*h**2 - 106*h - 58. Calculate z(16).
38
Let f(x) = 3*x**2 - 74*x - 3594. Calculate f(49).
-17
Let k(y) = 6177*y + 49410. Calculate k(-8).
-6
Let f(x) = 491*x**2 + 23564*x - 177. Determine f(-48).
15
Let h(r) = -5*r**2 - 655*r + 7002. Give h(10).
-48
Let m(z) = -5*z**2 - 1719*z + 22135. Calculate m(13).
-1057
Let a(t) = -1718*t**2 + 6840*t + 6841. What is a(-1)?
-1717
Let d(g) = 1739*g - 12392. Give d(7).
-219
Let j(s) = 31*s**2 + 1327*s - 1593. Calculate j(-44).
35
Let n(t) = -42544*t - 85091. Determine n(-2).
-3
Let r(t) = -2*t**3 + 56*t**2 + 475*t + 70. Determine r(34).
2348
Let u(w) = -w**2 + 172*w + 851. Determine u(-5).
-34
Let f(u) = 3*u**2 + 591*u - 3268. Determine f(5).
-238
Let h(s) = -2*s**3 + 303*s**2 - 148*s - 2568. What is h(151)?
-2115
Let w(m) = -2*m**2 - 26*m + 3095. Determine w(27).
935
Let a(p) = -622*p + 27343. Determine a(45).
-647
Let u(f) = -516*f + 23. Give u(0).
23
Let v(k) = 6*k**3 + 2311*k**2 + 382*k - 1348. Calculate v(-385).
-193
Let r(j) = 2*j**3 + 48*j**2 + 111*j - 2323. What is r(-16)?
-3
Let u(d) = -6*d**2 + 67*d + 224. What is u(16)?
-240
Let k(q) = 219*q + 56245. Calculate k(-251).
1276
Let a(p) = -p**3 + 98*p**2 - 190*p - 437. Give a(96).
-245
Let y(k) = -16*k**3 - 9*k**2 + 243*k + 728. Give y(-3).
350
Let z(k) = -9787*k - 48938. What is z(-5)?
-3
Let a(i) = i**2 + 128*i + 3805. Determine a(-99).
934
Let s(r) = 38595*r - 617544. Calculate s(16).
-24
Let c(h) = 4*h**3 + 310*h**2 - 10762*h + 1. Determine c(26).
53
Let g(t) = 25*t**2 - 3550*t + 7112. Determine g(2).
112
Let x(o) = -8*o**3 - o**2 - 22*o - 69. What is x(-3)?
204
Let l(d) = -111*d**3 - 316*d**2 + 9*d + 78. What is l(-3)?
204
Let l(r) = -r**3 - 46*r**2 + 8*r - 1904. What is l(-47)?
-71
Let k(g) = g**2 + 45*g - 1019. Determine k(21).
367
Let c(p) = -2*p**3 + 104*p**2 - 305*p + 16081. Determine c(52).
221
Let x(k) = -4*k**3 - 148*k**2 - 1055*k + 284. Calculate x(-10).
34
Let b(i) = -3*i**2 - 358*i - 1468. Determine b(-116).
-308
Let b(j) = -j**3 + 35*j**2 - 77*j - 1048. Give b(32).
-440
Let p(s) = 12*s**2 + 975*s + 23795. Determine p(-25).
6920
Let p(v) = v**3 + 69*v**2 - 716*v - 22879. Calculate p(-15).
11
Let w(k) = -47*k - 1587. What is w(-6)?
-1305
Let d(l) = 369*l**2 + 4987*l + 4986. What is d(-1)?
368
Let t(g) = 2*g**2 - 52*g + 166. Calculate t(34).
710
Let r(t) = 113209*t - 5094404. Give r(45).
1
Let v(o) = -o**3 - 254*o**2 - 248*o + 1100. Calculate v(-253).
-165
Let g(x) = -428*x - 1433. Give g(0).
-1433
Let n(z) = -z**2 - 21230*z - 5. Give n(0).
-5
Let v(d) = -1608*d - 5312. Calculate v(-4).
1120
Let a(i) = 268*i + 6605. Calculate a(-26).
-363
Let j(a) = -21*a**2 - 1743*a + 3558. Give j(2).
-12
Let u(r) = -2*r**2 + 3*r - 277. Calculate u(-16).
-837
Let k(a) = a**3 + 15*a**2 - 322*a - 5528. Give k(-16).
-632
Let y(p) = 592*p - 5423. Determine y(10).
497
Let y(l) = 23*l**2 - 19411*l - 19410. Determine y(-1).
24
Let t(d) = 107612*d + 3228262. Give t(-30).
-98
Let l(g) = 49564*g + 4510315. What is l(-91)?
-9
Let v(p) = -4*p**2 - 584*p - 18522. What is v(-51)?
858
Let c(m) = m**3 + 224*m**2 + 874*m - 1819. What is c(-220)?
-499
Let d(g) = -2*g**3 - 87*g**2 - 113*g + 322. Calculate d(-42).
-224
Let f(x) = 2*x**3 + 316*x**2 - 3880*x + 20. Determine f(11).
-1762
Let q(v) = -27875*v - 250885. Give q(-9).
-10
Let i(w) = w**3 - 244*w**2 + 268*w - 6073. Calculate i(243).
2
Let s(y) = y**3 + 147*y**2 + 2418*y - 280. Give s(-19).
-14
Let c(h) = 2*h**3 - 80*h**2 + 268*h + 2833. Give c(35).
-37
Let n(m) = -488*m - 36584. Determine n(-75).
16
Let l(c) = 2251*c + 20497. Determine l(-9).
238
Let o(x) = 299*x**2 + 138*x - 135. Calculate o(1).
302
Let f(w) = -388*w - 2709. What is f(-4)?
-1157
Let y(z) = z**3 + 166*z**2 + 625*z - 29. Give y(-4).
63
Let v(w) = -2*w**3 - 33*w**2 + 5229*w + 473. Calculate v(-60).
-67
Let s(n) = -n**2 - 171*n - 1872. Determine s(-12).
36
Let q(y) = 51425*y - 308533. Determine q(6).
17
Let f(v) = 49*v + 6465. What is f(-127)?
242
Let p(q) = -403*q**2 - 41*q + 40. Give p(1).
-404
Let i(s) = -s**3 + 29*s**2 + 3095*s + 82. What is i(72)?
10
Let r(q) = -91*q**3 - 18836*q**2 + 193*q - 2928. What is r(-207)?
-30
Let z(s) = 2*s**2 + 72*s - 1942. Determine z(-52).
-278
Let b(z) = 311*z - 5054. Give b(19).
855
Let o(d) = -2*d**3 + 65*d**2 - 337*d - 1758. What is o(24)?
-54
Let m(h) = -h**2 + 2653*h - 81169. Determine m(31).
113
Let q(s) = 3918*s**2 + 58769*s - 15. Give q(-15).
0
Let f(k) = k**3 + 4*k**2 - 156*k + 873. What is f(6)?
297
Let a(f) = 3*f**3 - 699*
|
{
"pile_set_name": "DM Mathematics"
}
|
2*k = -d + 2 for d.
-1
Let p be (5/(-30)*-6)/((-2)/(-72)). Solve -4*r + 27 = 5*u, -p = -5*u - 5*r - 6 for u.
3
Let b(r) be the second derivative of 0 - 6*r + 1/3*r**3 - 3*r**2. Let i be b(4). Solve 5*m - 6 = -o + 7*m, 3*o + 6 = -i*m for o.
0
Let x(b) = -2*b**2 + b + 1. Let y be x(-1). Let l be (-13)/1*y/1. Suppose -l - 19 = -3*j. Solve -o - 3*u + j = -7*u, 0 = 2*o - 5*u - 15 for o.
-5
Let m(w) = -w**2 - 6*w. Let t be m(-6). Let c be 8/204*-3 + 6/51. Let i be (-1 - -2 - c)/((-29)/(-145)). Solve t = -i*u + 5, -u = -3*p + u - 5 for p.
-1
Suppose -5*o = -l - 5, o - 5*l + 33 = 5*o. Suppose 4*i - s - 8 = 0, 0 = -i - o*s - 3 - 4. Solve 2*f - f = -3*z - i, -21 = 4*f - 5*z for f.
-4
Let l(n) = n**2 - 5*n + 2. Let b be l(5). Suppose b*m - 5*m = 12. Let q be m/14 - 44/(-7). Solve a + 2*t - 8 = q*t, 0 = -5*t - 10 for a.
0
Let p = 95 + -74. Suppose p = 12*b - 27. Solve -r + h = -b*r - 9, 4*r - 2*h = -12 for r.
-3
Let m(s) = 13 - 7*s + 6*s + s**2 + 4*s + 7*s. Let h be m(-9). Solve h*f + 2 + 11 = 5*r, 2*r - 10 = 4*f for f.
-2
Suppose -4*t + 5*y = -9, -3*y = t - y + 1. Solve -20 = -4*l, 4*l = -5*a + t + 9 for a.
-2
Suppose 32 = 43*x - 39*x. Let n be 1/(-4) + 0 - (-34)/x. Solve 2*y + 4*w = -2*y + 4, 0 = -3*y + n*w - 25 for y.
-3
Let l = -3 - -3. Let t be 6 - ((-16)/(-4) + l). Solve o - 7 = -2*u, 4*o = o + t*u - 19 for o.
-3
Suppose 5*z - 3*t + 36 = -3, 2*z = 3*t - 21. Let r = 7 - z. Suppose 5*u + i = 6*i + 45, -3*i + r = 2*u. Solve -g + 7 = -2*s - 3, -4*s - u = g for g.
4
Suppose -16 = -9*p + 7*p. Let d be 1859/52 - (-2)/p. Suppose -4*c + d = 8. Solve 5*l = 5, l = 4*i - 4*l - c for i.
3
Suppose 6*i - 37 - 173 = 0. Solve 5*y - i = -3*d, -4*y + 0*y - 4 = -4*d for y.
4
Let v = 5 - 2. Let n(m) = -12 - m + v*m - 6. Let s be n(10). Solve -q - 9 = 2*k - 0, -21 = 5*q - s*k for q.
-5
Let q = -90 - -85. Let b(x) = 8*x + 44. Let a be b(q). Solve -a*z + 3 + 2 = 3*n, 2*z = -n + 3 for n.
-1
Let l be 8/60 - 986/(-255). Solve 0 = -3*c + l*h - 15, -3*h + 5 = -0*c + 4*c for c.
-1
Let z be (146 + -10)/8 + 1*-5. Solve -z = -3*f, 0*f = -2*w - 5*f + 22 for w.
1
Let d(s) = 23*s + 119. Let m be d(-5). Solve -y - 2 = -0, -y = g + m for g.
-2
Let k = 216 - 214. Solve 3*a + 2*s = -k*a, 1 = 3*a + s for a.
2
Suppose -5*d = 5*r - 25, -5*d = r - d + 4. Suppose -3*i = -x + 9 + 3, r = x - 2*i. Solve -y = 2*f - 2*y - 2, x = -5*f + 2*y + 6 for f.
2
Let v(s) = -11*s - 4. Suppose 3*q - 9 = 6*q. Let g be v(q). Let y = g + -27. Solve y*k - 2*m + 8 = 0, 3*k + 2*m - 4 = k for k.
-1
Suppose 71*f = 72*f - 2. Solve f*h + 5 = n, -2 = 3*h + 1 for n.
3
Let r(n) = -n. Let y(f) = -f**2 - 36*f - 47. Let q(o) = -2*r(o) + y(o). Let m be q(-32). Solve -3*d = k - m, -d + 27 = k + 4*d for k.
2
Suppose 40 = 4*x + x. Suppose 0 = -b + 4*y + x + 4, -2*y = 4. Solve -4*w - 5*p = w - 40, 0 = -4*w + b*p + 8 for w.
5
Suppose -14*k - 975 = -9*k. Let x be 8/5 + 1 - 78/k. Solve -4*t - 15 = -5*b, -x*t + 2*b - 7 = -1 for t.
0
Suppose -3 - 5 = -4*h. Suppose -5*s - h + 17 = 0. Solve -3 = -3*w + s*x, -10 = -3*w + 2*x - 3 for w.
5
Let k be 1/(-2) + (-21)/(-6). Suppose -8*z = -4*z. Suppose -g - 4*g + 25 = z. Solve -g*w = -k*j - 17, 0 = -w - 0*w + 4*j for w.
4
Let a be 12 + (-28)/2 + 4. Solve l = -2, 4*t + 2*l = -a*l - 24 for t.
-4
Suppose 8*o + 2387 = 2475. Solve -13 = -3*m - 4*k, -4*m + 4*k - 3*k + o = 0 for m.
3
Let f(z) be the first derivative of z**4/4 - 14*z**3/3 + 7*z**2 + 2*z + 12. Let o be f(13). Solve -2*p + x - o = 0, 2*p + 12 + 8 = 2*x for p.
-5
Let t = -18 - -6. Let f = t + 16. Suppose 0 = 5*o - f*a - 84, -4*o + 93 = -4*a + 29. Solve -2*c + o - 8 = -2*y, 3*y = -4*c + 3 for y.
-3
Let x(g) = 3*g**2 + 12*g + 14. Let s be x(-3). Solve 2*k = -3*n - 18, -s*k + k = -4*n - 4 for n.
-4
Suppose 0 = -0*m - 3*m + 6, 2*m = -4*h + 104. Let x = h + -21. Solve 3*o - 12 = -x*u, -3*o - o - 6 = -2*u for u.
3
Suppose 4 = 3*a + 1, -5*i + a + 34 = 0. Let c = 4 - -1. Suppose c*d + 15 = -b - 3*b, 3*d + 22 = -5*b. Solve p - d = 4*r - 2*p, 0 = 3*r - p + i for r.
-4
Let r be ((-1232)/30)/(-8) - (-6)/(-45). Solve j = -r*q + 4, 4*q = -q for j.
4
Let p be 27/3 + (5 - 2). Let a = -11 + p. Let h be ((-1)/(-1))/(1/2). Solve -t + 4 = -h*i, -4*i - 7 = 4*t + a for t.
0
Suppose 9*v - 55 = 4*v. Suppose b + 4*k = 5*k + 17, -5*k = -4*b + 69. Let d = b - v. Solve 0 = 2*f + d*n, -2*f - 4*n + 2 = 4 for f.
-5
Let o(s) = -11 + 16 + 4 + 2*s + 15. Let d be o(-12). Let j be (-2)/5 + (-44)/(-10). Solve -2*m + 0*m - 18 = 4*z, d = -2*z - j for m.
-5
Let q = -15 + 9. Let t = -4 - q. Let u = 314 + -302. Solve 3*f - 2*r = -3*r - 13, t*f - r = -u for f.
-5
Suppose -2*g = -g. Suppose 3*w - 4*o + 1 = 0, 0 = -g*w + 2*w - 4*o + 6. Solve 2*c = 2*u - 2, 0*c - 4*c = 5*u - w for u.
1
Let i be (14/1)/(-1 - -3). Solve -3*n + 4*w - i = -19, 4*n + w = -3 for n.
0
Let q = -201 + 209. Solve -s = -2*s + 5*d - 20, 5*s = 2*d - q for s.
0
Let k(d) = -d + 11. Let f be k(6). Suppose 0 = 8*c - f - 11. Solve 2*s - t + c = -0*s, 0 = 2*s - 5*t + 10 for s.
0
Let c = 168 + -49. Let a = c - 115. Solve -3*o - 2*y = -a, 7*o - 3*o + y - 2 = 0 for o.
0
Let a(w) = -47*w + 25*w + 26*w + 3. Let b(x) = x**2 - x - 2. Let l be b(-1). Let z be a(l). Solve -z*g = -2*t - 7*g, -t - 5*g = 0 for t.
0
Let k(w) = 4*w**2 + 3*w - 6. Let c be k(-2). Solve 4*l - i = -l + 26, -21 = -5*l - c*i for l.
5
Let t(o) = -o**2 - 16 + 5*o + 15*o - 32*o. Let r be t(-12). Let k = -13 - r. Solve -g + 5 = 3*n + 3, k*g = -4*n + 6 for g.
2
Let i = 365 - 338. Solve -14 = 2*y - 5*o + 3*o, 5*y - 3*o + i = 0 for y.
-3
Let m be 0/(-6)*(1 - 2/4). Solve -10 = 4*n + 5*g - m*g, 0 = -3*g + 6 for n.
-5
Suppose -36 = -0*n - 3*n. Let z = n + -7. Solve -q - 2*c = -7 + 5, z*q + 4*c = 4 for q.
0
Let x = -136 + 137. Solve 5*b - 2*t - 11 = -4*t, -2*b - x = -t for b.
1
Suppose 47*b = 37*b + 30. Solve -b*q - 15 = -0*u + 5*u, -q + 6 = -2*u for q.
0
Let q(g) = -44*g - 156. Let r be q(-4). Solve 2*d - 8 = 0, 0*f - 3*f = 5*d - r for f.
0
Suppose -15*m + 2396 = 251. Suppose 102 = 2*x + 3*n, -5*x + 2*x - 2*n + m = 0. Solve -4*y = -3*t - 2*t - x, -y + 5 = 0 for t.
-5
Let t be ((-9)/(-6))/((-2)/(-4)). Suppose a - 39 = -2*a. Solve -4*n = -3*g + a, -4*g = -g - t*n - 9 for g.
-1
Let u(j) = -j**2 + 4*j + 3. Let l be u(6). Let i = l - -11. Solve 2*v + 12 = -i*v, 10 = r - 5*v for r.
-5
Let g be (0 + (-1)/2)*-6. Let z = 7 + -2. Let i = 12 + z. Solve -g*q - 48 = -5*a - i, 4*a = -4*q + 12 for q.
-2
Let w be (5 - 4)/(2*2/60). Suppose 4*k + 2*h - 26 = -0*h, -w = -5*h. Solve -3*s - 2*c = -s - 16, -k*s + 19 = -2*c for s.
5
Let w be ((-8)/6)/((8 + -6)/(-18)). Solve -4*v + 6*v = r - 7, -3*v + r = w for v.
-5
Suppose -94 = 2*m - 298. Suppose 5*y = -20, -m = -5*h - 3*y - 24. Let i be 7/4 - (-1)/4. Solve 22 = -5*r + i*z, 0*z = -4*r + 2*z - h for r.
-4
Let m = -5 + 7. Suppose 0 = -v + 2*v - 16. Let h = 50 - 42. Solve -u - h = m*u + 4*i, 5*u = -4*i - v for u.
-4
Let t be (-16)/(-28)*84/24. Solve 0 = -s - a + t*a - 1, 0 = -4*s - 5*a - 31 for s.
-4
Suppose -21*i + 400 = 4*i. Solve o - 3*q + 7*q + 5 = 0, 2*o - 5*q = i for o.
3
Suppose 0 = 4*y - 8 - 8. Suppose -5*d = -11 + 1. Suppose -16 = -5*p - 2*u + u, d*u + 7 = 3*p. Solve -y + 2 = m, -4 = -5*t - p*m for t.
2
Let h(j) = j**2 + 12*j + 3. Let u be h(-13). Suppose u = 4*v - 8*v. Let q be (v - -2)/((-2)/4). Solve 4*g = -c + 5, 2*c + q*g - g = 10 for c.
5
Suppose -33 = -4*j - 13. Suppose 0 = 10*s - j*s + 75. Let k be (-2)/(-1 - 9/s). Solve 20 = 4*r, -5*i + 4*r = k*r - 10 for i.
1
Let i = -5 + -3. Let j = i + 11. Let t be (-20)/15 - (-31)/j. Solve -2*o - t = 3*x, -x + 4*o - 12 = 3*x for x.
-3
Let v be 16/56 + (-2)/7 + 2. Solve -v*t + 20 = 4*c, 0*t + t = -3*c + 13 for t.
4
Let o = 3 + 0. Suppose 5*k - y + 3 = 26, -10 = -5*y. Solve -c = k*j - o*j + 6, 12 = -j - 5*c for j.
-2
Let z = -57 + 61. Suppose -l - 4*c = -7, 6*l = l - c + 16. Solve -p = l*r, -p = -z*p + r for p.
0
Let s = -1864 - -1873. Solve 5*u - s = -0*o - 2*o, -4*u = -2*o for o.
2
Let j be 90/(-36)*12/(-15). Solve 0 = j*y - 5*y + 4*t - 10, -4*t + 12 = -2*y for y.
2
Let t be (-41)/(-3)*(1 + -4). Let k = t + 44. Solve 2*m + 2*v - 2 = -20, -5 = -k*m + 5*v for m.
-5
Let a = -21 + 15. Let s be 0*(4 + 21/a). Solve s = -v + 2*j - 2 - 3, -2*v - j + 5 = 0 for v.
1
Suppose -704 + 644 = -10*t. Solve 0 = 5*y + d - 1, -t*y - 2*d = -9*y - 2 for y.
0
Let a(c) = 6*c**3 + 2*c**2 + 2*c - 3. Let q
|
{
"pile_set_name": "DM Mathematics"
}
|
r?
False
Is 115631 a prime number?
True
Is 2705 a prime number?
False
Is 804821 a prime number?
False
Is 366677 prime?
True
Is 1147767 a composite number?
True
Is 34433 prime?
False
Is 33361 prime?
False
Is 1876439 composite?
True
Is 1367 a prime number?
True
Is 277157 composite?
False
Is 45587 prime?
True
Is 9793 composite?
True
Is 15937 a composite number?
False
Is 111859 a composite number?
True
Is 120643 a prime number?
False
Is 1735 prime?
False
Is 11654 prime?
False
Is 31463 composite?
True
Is 74177 a composite number?
False
Is 10057 a prime number?
False
Is 68219 a prime number?
True
Is 72337 prime?
True
Is 32537 a prime number?
True
Is 952097 a composite number?
False
Is 21461 a prime number?
False
Is 911357 a composite number?
False
Is 636655 a prime number?
False
Is 4327 prime?
True
Is 55973 prime?
False
Is 33043 prime?
False
Is 1176281 prime?
False
Is 124511 a prime number?
False
Is 31853 composite?
True
Is 45273 prime?
False
Is 1346737 prime?
False
Is 42203 a prime number?
False
Is 314851 composite?
False
Is 1447707 prime?
False
Is 68755 composite?
True
Is 26899 a composite number?
True
Is 79939 a prime number?
True
Is 1495183 composite?
True
Is 1651 a composite number?
True
Is 1759 a composite number?
False
Is 865 a prime number?
False
Is 42373 a prime number?
True
Is 695 prime?
False
Is 41879 prime?
True
Is 110009 composite?
True
Is 131129 composite?
False
Is 175737 prime?
False
Is 106637 composite?
False
Is 87 prime?
False
Is 202558 a composite number?
True
Is 59887 prime?
True
Is 557 prime?
True
Is 427213 a prime number?
True
Is 1382487 a prime number?
False
Is 25378 prime?
False
Is 648833 a composite number?
True
Is 22513 prime?
False
Is 39659 prime?
True
Is 9227 a prime number?
True
Is 285751 prime?
False
Is 397 a composite number?
False
Is 225229 a prime number?
False
Is 1454 a prime number?
False
Is 47599 a composite number?
False
Is 243797 a composite number?
True
Is 42061 prime?
True
Is 19417 a prime number?
True
Is 27179 a prime number?
True
Is 217043 prime?
False
Is 77081 a composite number?
False
Is 31741 prime?
True
Is 16183 a prime number?
True
Is 33505 prime?
False
Is 23401 composite?
True
Is 80221 prime?
True
Is 5779 a composite number?
False
Is 104245 a composite number?
True
Is 1194707 prime?
True
Is 27233 composite?
True
Is 2285 prime?
False
Is 12149 prime?
True
Is 39661 prime?
False
Is 14689 prime?
False
Is 24317 prime?
True
Is 143669 a prime number?
True
Is 374909 a composite number?
False
Is 57517 a composite number?
True
Is 25765 composite?
True
Is 28453 a prime number?
False
Is 3821 a composite number?
False
Is 405799 a composite number?
False
Is 6503 composite?
True
Is 7807 a composite number?
True
Is 22679 composite?
False
Is 16519 prime?
True
Is 114035 a prime number?
False
Is 25859 a prime number?
False
Is 62941 composite?
True
Is 610913 a prime number?
True
Is 42589 a prime number?
True
Is 7897 a prime number?
False
Is 8147 prime?
True
Is 124789 a prime number?
False
Is 10937 composite?
False
Is 403357 prime?
False
Is 171793 a composite number?
False
Is 497879 a composite number?
True
Is 907 a prime number?
True
Is 23899 a composite number?
False
Is 17583 prime?
False
Is 152921 a composite number?
True
Is 104231 composite?
False
Is 11351 a prime number?
True
Is 450514 prime?
False
Is 29409 composite?
True
Is 1867 prime?
True
Is 7583 a composite number?
False
Is 206699 composite?
False
Is 72026 a prime number?
False
Is 5414 composite?
True
Is 374639 composite?
False
Is 466703 prime?
False
Is 40099 a composite number?
False
Is 13291 prime?
True
Is 76231 a composite number?
False
Is 410003 a composite number?
True
Is 42707 a composite number?
True
Is 28151 composite?
False
Is 1158161 prime?
True
Is 601127 composite?
False
Is 49721 composite?
True
Is 563573 a prime number?
False
Is 74537 prime?
False
Is 398407 composite?
False
Is 11549 a prime number?
True
Is 3309 a composite number?
True
Is 204805 a prime number?
False
Is 3989 a composite number?
False
Is 1285265 a prime number?
False
Is 1310191 composite?
True
Is 3491 a composite number?
False
Is 2759 a composite number?
True
Is 3153187 a prime number?
False
Is 260941 composite?
False
Is 223781 composite?
False
Is 13577 composite?
False
Is 76631 a prime number?
True
Is 2819 a prime number?
True
Is 3522157 a prime number?
True
Is 105283 a prime number?
False
Is 695613 a prime number?
False
Is 15391 a prime number?
True
Is 272759 a prime number?
True
Is 127901 a prime number?
False
Is 2857247 a composite number?
False
Is 19534 composite?
True
Is 1576283 composite?
False
Is 784481 a prime number?
True
Is 3779 prime?
True
Is 240997 prime?
True
Is 229263 a prime number?
False
Is 2616071 prime?
True
Is 26747 a composite number?
True
Is 4423 a composite number?
False
Is 1386551 a prime number?
True
Is 45777 prime?
False
Is 60701 composite?
True
Is 252277 composite?
False
Is 100249 a prime number?
False
Is 63991 composite?
True
Is 767573 prime?
False
Is 288647 a prime number?
True
Is 57643 a composite number?
True
Is 67327 composite?
True
Is 4487 prime?
False
Is 12695 a composite number?
True
Is 205507 a prime number?
True
Is 967 composite?
False
Is 65167 composite?
False
Is 82849 a composite number?
True
Is 62759 a prime number?
False
Is 6623 a composite number?
True
Is 229351 composite?
False
Is 162119 composite?
False
Is 196763 a prime number?
False
Is 54391 a composite number?
True
Is 123271 a composite number?
True
Is 3137 a composite number?
False
Is 866971 prime?
False
Is 26233 composite?
True
Is 308119 prime?
False
Is 194569 prime?
True
Is 1685381 a composite number?
False
Is 43447 a composite number?
True
Is 31637 composite?
True
Is 10771 composite?
False
Is 12473 a composite number?
False
Is 241907 composite?
False
Is 9413 a composite number?
False
Is 70249 prime?
True
Is 77911 a composite number?
True
Is 2429 prime?
False
Is 120521 prime?
False
Is 52621 prime?
False
Is 594421 a prime number?
True
Is 157 a prime number?
True
Is 922021 a prime number?
True
Is 400823 composite?
False
Is 485587 a composite number?
False
Is 213713 composite?
False
Is 1966 prime?
False
Is 1478 prime?
False
Is 534187 composite?
True
Is 2533 composite?
True
Is 112061 prime?
True
Is 75133 a composite number?
False
Is 1272421 a composite number?
False
Is 30017 a composite number?
True
Is 10061 a prime number?
True
Is 911 prime?
True
Is 2503 prime?
True
Is 2210723 a composite number?
False
Is 278899 prime?
False
Is 73274 composite?
True
Is 5189 composite?
False
Is 3613 a composite number?
False
Is 131203 composite?
False
Is 56299 a composite number?
False
Is 153886 prime?
False
Is 12333 composite?
True
Is 43201 prime?
True
Is 415693 a prime number?
False
Is 262433 a composite number?
False
Is 192563 composite?
True
Is 15371 a composite number?
True
Is 6343 a composite number?
False
Is 2777 a prime number?
True
Is 6053 composite?
False
Is 5747 a composite number?
True
Is 365437 a prime number?
False
Is 332201 a composite number?
False
Is 38519 prime?
False
Is 3163 a prime number?
True
Is 1317 a composite number?
True
Is 506573 a prime number?
True
Is 1133 a prime number?
False
Is 341305 composite?
True
Is 256378 composite?
True
Is 4595 a composite number?
True
Is 15935 composite?
True
Is 21833 composite?
True
Is 747139 a prime number?
True
Is 256279 prime?
True
Is 3691 prime?
True
Is 80351 a prime number?
False
Is 37129 a composite number?
True
Is 886409 a composite number?
True
Is 38113 composite?
False
Is 23189 a prime number?
True
Is 40483 composite?
False
Is 37099 a prime number?
False
Is 15905 composite?
True
Is 147073 a prime number?
True
Is 4711 a composite number?
True
Is 3802073 a composite number?
True
Is 52223 prime?
True
Is 2518 composite?
True
Is 1399291 a composite number?
True
Is 505231 a prime number?
True
Is 20507 a composite number?
False
Is 1229219 a prime number?
False
Is 245785 a prime number?
False
Is 10147 a prime number?
False
Is 115293 composite?
True
Is 51451 a composite number?
True
Is 136057 a composite number?
False
Is 14431 a composite number?
False
Is 685 composite?
True
Is 159977 a prime number?
True
Is 10427 prime?
True
Is 35023 a composite number?
False
Is 550569 a composite number?
True
Is 5513 prime?
False
Is 17651 prime?
False
Is 102397 a
|
{
"pile_set_name": "DM Mathematics"
}
|
- (9 + -5)) - 0.
42
Calculate 39 + -10 + -41 - (13 + -4 + (9 - 2)).
-28
(0 - -2) + 47 - (-8 - 19 - -17)
59
What is the value of 3 + (10 - 7) + -13 - (-203 + 179)?
17
Evaluate 3 + 0 + (-36 - (4 - -42)) + (13 - 0).
-66
Evaluate 5 - 40 - 27 - 16.
-78
Evaluate -136 + 35 + 58 + 24 + -4.
-23
What is (2 - -115) + -30 + (9 - -36) - (-11 + 6)?
137
18 + (-66 - (5 + (-18 - -3))) + -16
-54
What is -2 + -4 + 34 - (29 + (-8 - 9))?
16
Calculate 1 + -28 + (62 + 6 - 2).
39
Evaluate (-12 + 16 + (-5 - -9 - 46) - 5) + 5.
-38
4 - (1 + 2 + -3) - 3 - (-1980 + 1910)
71
(47 - (-1 + 1)) + (-4 - (-3 + -5) - 5)
46
(-22 + (82 - 28) - -39) + -15
56
Evaluate 47 - 44 - -5 - (-2 + -40 - -3).
47
What is the value of 3 + (-19 + 2 + -7 - ((-27 - -11) + 15))?
-20
((-14 - 7) + 6 - -14) + 66
65
-457 + 453 - (1 + -48) - 18
25
What is the value of 0 + 0 + -12 - (-4139 + 4130) - -34?
31
Evaluate -13 + (-2 + 4 - 6) + -163 + 217.
37
40 - 31 - (-1 - -8) - ((12 - -108) + -12)
-106
Evaluate (-208 - -106) + 124 + -1 + 0 + 9.
30
Calculate (-93 - (-9 + 2)) + 22 + 3.
-61
Evaluate -14 - -8 - (25 + (-1 - -11) - 1 - -12).
-52
What is (23 + -50 + 18 - (-18 + 4)) + 59 + 0?
64
Calculate -11 + (121 - -4 - (16 + -2 - (45 + -41))).
104
(63 + -5 - 22) + -24
12
(-35 - -51) + (0 - -3) + -24 + 15
10
Evaluate 4 + -12 + (49 + -85 - (2 + -15)).
-31
11 - (26 + 8 - 29 - (-3 - -3))
6
What is the value of (2 - (-12 - -59)) + 87?
42
Evaluate -44 - (-36 + (-85 - 16)).
93
Calculate -111 + 71 + 124 - 17.
67
Evaluate (-1 - -16) + (65 - 67) + (-48 - -36).
1
What is the value of (4 + -7 - (78 + -2)) + (-193 + 101 - -82)?
-89
What is -30 - (-33 + 75 + -43)?
-29
What is the value of (-14 + 9 - (40 - 2) - -1) + -3?
-45
What is (-338 - -341) + (-7 - -1) - (3 + -2 + 26)?
-30
Evaluate 47 - -21 - 145 - (-6 + -3).
-68
Evaluate 201 - (1 + -123 + 194).
129
What is the value of (4 + 45 - 7) + 7 + 12 + (-10 - 6)?
45
What is 150 - (161 - -7) - (-2 - 77)?
61
Calculate (-4 - (-4 + 17 + (-5 - 2))) + 12.
2
What is -31 + (2 - -75) + (-168 - -198)?
76
What is the value of (-1 - -23) + -38 + (-12 - -3)?
-25
-17 + (-26 - (-1 - 78))
36
-23 + (20 - -130 - -18) + -16
129
-11 + 24 + -6 - (-73 - 6) - 17
69
Evaluate (40 - (25 + 31 + 24)) + -15.
-55
Calculate (106 - 133) + 80 - 93.
-40
Calculate (33 - 45) + 3 - 38.
-47
Calculate 68 + -72 + -8 - 14.
-26
Evaluate (52 - 46 - (4 - 2)) + (-81 - -179).
102
Calculate -117 + (18 - (37 + -54)).
-82
Evaluate 8 + (-13 + (20 - 10) - (20 + -12)).
-3
Evaluate 37 + -20 + -19 + (2 - 1) - 10.
-11
Calculate -184 - (73 + -147) - -194.
84
What is the value of -26 - (7 + -5 + 2 - (3 + -3 - -2))?
-28
What is the value of (46 - (47 - 34)) + -68?
-35
(0 - 6) + (-89 + 7 + -3 - (87 + -114))
-64
Evaluate (40 + -86 - 199) + 124.
-121
14 - (1 + 124 + (-21 - 19 - -31))
-102
-63 + 82 + (-3 - (-6 - -4))
18
What is the value of -71 + (-145 + 278 - -16)?
78
What is 28 - (140 - (108 - -70))?
66
37 - (4 - (-12 + -31 + 33 + (15 - 2)))
36
-1 - (-17 - (-8 + 14 + -10)) - (2 - -28)
-18
What is -181 + 106 + 53 + 0?
-22
What is the value of (95 + -96 - (1 - (4 + -5) - -6)) + 48?
39
(87 + -91 - (-12 + -2)) + 17
27
What is -14 - -10 - (-17 + 7 + 10 - -7)?
-11
What is the value of 71 - 156 - (-36 + -11)?
-38
What is the value of (25 - 57) + -61 - -106?
13
What is 66 - (35 - (-18 - -21 - 3))?
31
-117 + 128 - (1 + 29 + -2) - -89
72
(146 - 106) + -111 - -68
-3
Evaluate -2 + (-57 + 40 - ((1 - -4) + -32)).
8
Calculate -14 - ((-5 - -15) + 4 - 2) - -12.
-14
Evaluate (-12 + -4 - -5) + -8 + -3 + 46.
24
Evaluate (-79 + 31 - 7) + 92.
37
Calculate -80 + 1 - (486 + -557).
-8
What is the value of (-4 - 7 - -22) + -21 + 37?
27
Calculate (7 - 4) + -12 - ((2 - -13 - 5) + 1).
-20
(13 - 3) + -29 + (-8 - (-19 - 4))
-4
What is the value of (-30 - 15 - -42) + 50?
47
3 - (45 + -9 + -4 - -9)
-38
Calculate 56 - (-25 + 23 + (-26 - -17)).
67
Evaluate (1 - 7) + 0 + 75 + (97 - 140).
26
What is the value of 1 + 38 + (713 - 790)?
-38
What is 0 + -28 + 13 - -78?
63
Evaluate 104 + 10 + (-84 - -51).
81
-30 + (-14 - (67 - 17)) - 10
-104
-14 + (-59 - (-25 + 20 + 12))
-80
Evaluate 23 - (4 + 71 + (-66 - -29)).
-15
What is the value of -6 + (-9 - -1) + 4 + 2 + -30?
-38
What is the value of (52 - (11 + (-10 - 25))) + -1 - (1 - -1)?
73
Calculate 5 + 14 - (-25 + -5 + -5 + 11).
43
What is -21 + 26 + -13 + (-1 - 6) - 9?
-24
What is 6 + 5 + 3 + -15 + (3 - -34) + -9?
27
72 - (-58 + 192 + -47)
-15
What is (-43 - (46 - 81)) + 0 + -34?
-42
What is 22 - 29 - (13 + -11 - 0 - 5)?
-4
Calculate (-1 - -97) + (3386 - 3359).
123
Evaluate -79 + (47 + 62 - 36).
-6
What is the value of (8 - 1 - (72 + -70)) + 0 + 0 - -22?
27
-102 + -6 + (-2427 - -2546)
11
-49 - 25 - (-36 + 3) - (-7 + (1 - 1))
-34
What is (-3 - -15) + -1 - ((45 - 15) + -67)?
48
(-359 - -334 - (-23 + 0)) + 12 + -61
-51
Calculate -74 + (30 - (1 + 42)) - -42.
-45
Evaluate -23 + -4 + 25 + -14 - -22.
6
79 + 1 - (5 + 37)
38
What is 7 - ((1 - 17) + -53 + 63)?
13
What is the value of 81 + (-42 - 6) - -21?
54
What is the value of 66 + (-8 - 5) - ((19 - 11) + -6)?
51
What is 64 - 0 - (45 + -10 + -14 + -42)?
85
4 - 1 - (-38 - -12 - (-13 + -1))
15
What is (-37 - (-34 - -10)) + (-2 - -3) - -50?
38
Calculate 5 - (3 + -12 + (9 - 0)).
5
Evaluate -53 - (1 - (13 - 1) - (12 - 48 - -27)).
-51
What is -37 + 22 + 24 - (4 + -5 + 4)?
6
Calculate (12 + -15 - -24) + -4 + 8 + -12.
13
Evaluate -3 - (-12 - (5 + -26)) - 19.
-31
Evaluate -18 - (-36 - -19) - -10 - (-4 + 2) - -30.
41
Calculate 8 - (1 + 0 + -2 - (-3353 + 3345) - 24).
25
Evaluate -5 - (-8 + 11 + 0 + 3 + 5 + 4).
-20
-33 + (35 - 12) + 9
-1
What is 11 - (50 - (75 - 84 - (0 + -17)))?
-31
-211 + 72 + (-83 - -145)
-77
Calculate 47 + (-1 - -5 - ((-38 - 20) + 63)) + -12.
34
Calculate 7 - (-16 + 12) - 111 - (-4 - -3).
-99
-15 - ((-71 - -16) + (16 - 4))
28
Calculate -113 + 132 + (3 - 9) + 1 - 64.
-50
What is 10 - ((-26 - -15) + 14 - -8)?
-1
What is the value of (-6 - -108) + 9 + -18?
93
Calculate (-1 - -70) + (-132 - -133).
70
What is (-17 - 3) + (-17 + 14 - -15)?
-8
Evaluate (1 - (17 + -17)) + -5 - (1 - 9).
4
What is the value of -5 + 49 - 123 - -41?
-38
2739 + -2725 + 1 + (6 - -2)
23
(-46 - (56 + -20)) + 35
-47
Evaluate -1 + 1 + 32 - (-41 + -16 + 30 + 27).
32
Calculate 38 - 15 - -33 - 129.
-73
What is the value of 3662 + -3651 - (-2 - 5)?
18
Calculate 6 + -2 + -273 + 276 + (-1 - -1 - -4).
11
What is the value of 61 - (51 - (8 + 7))?
25
Evaluate -3 - -18 - 40 - -28 - -38.
41
What is 773 + -666 + -86 + 5?
26
(-1 - 41) + (-125 - (-188 + 87))
-66
What is -7 + 4 + -4 + 400 + -391?
2
-17 + 23 + -9 + 11 + (46 - 53)
1
Calculate -140 - (99 + (-144 - 79)).
-16
-3 + (-32 - 0) + (-14 - ((-26 - -10) + 14))
-47
Calculate 32 + (-51 - (-25 - -24)) - (-1 + 0).
-17
What is (5 - (8 + 1)) + -233 + 245?
8
What is the value of -83 + 6 + 43 + -2 - (1 + (1 - 12))?
-26
Evaluate -39 + 35 + (11 - 1) + -7 - (-152 - -187).
-36
(-5 - -11) + (35 - 115) + 1
-73
18 + (-6 - (-11 + 7 + -9 + 17))
8
Evaluate (6 - -4) + -18 - ((-17 - -23) + 62).
-76
What is the value of 1 + -4 + 3 + 35 - (584 + -579)?
30
Evaluate -51 - -93 - (-3 + -8 + -66).
119
What is -18 - (-17 + 16 - (-12 + 21)) - (2 + 29)?
-39
142 + -199 + 9 - (-9 - (2 + 0))
-37
What is 32 + 5 - 65 - -10 - -95?
77
What is -121 + (-19 - (46 + -43)) + 19?
-124
What is the value of -21 + 30 + 4 + (8 - 32)?
-11
Evaluate -14 - 1 - (4 - 9) - (-64 + 117).
-63
63 - (-37 - -89) - 117
-106
Calculate -129 + 63 + 65 - (62 + -1).
-62
Calculate (145 - 154) + (6 + 74 - 8) + (1 - -1).
65
24 - (-26 + 25 + 56) - 27
-58
(3 - 94 - -42) + 88
39
Evaluate 95 - (785 - 776 - (-1 - (4 + -13 + 3))).
91
Evaluate -2 - 82 - ((-26 - 0) + -7 + -36 + 55).
-70
What is the value of 0 + (-22 - -10) + 19?
7
Calculate 36 + 2 - (28 - (6 - (-20 - -2))).
34
Evaluate 4 + 4 + -26 - (-5 + 3 + 8).
-24
-1 + 0 + 15 - -14 - 22
6
Evaluate -17 - (31 + -121 - -90).
-17
What is 531 + -514 - (28 - 1) - 30?
-40
What is the value of (-11 + 8 - 4 - (39 + -102)) + 6?
62
What is the value of (21 - (-4 - (-19 + (9 - 7)))) + (0 - -44)?
52
Evaluate -39 + (-20 + -13 - -11) - (-1 + -17).
-43
Evaluate 195 + -207 - (0 + 36 + -5).
-43
What is the value of -4 + -6 - (1 - (-14 - (-43 + 2)))?
16
Evaluate (-99 - -59) + 69 + -113.
-84
What is 17 - (-12 - (-38 - -18))?
9
What is 9 - (14 + -22) - 56?
-39
Evaluate -14 + (19 - (2 + 1)) - (7 - -18).
-23
What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
e nearest to 4 in -0.3, -0.2, 1/4, k?
1/4
Let s = 16588 + -99527/6. Which is the closest to -2.6? (a) -3 (b) s (c) -0.1
a
Let l = 7/401 - -725/4411. What is the nearest to 0.2 in -0.5, -3/2, -0.12, l?
l
Let y = -1.9 + 0.6. Let z = 26942 - 26941. Which is the nearest to z? (a) -5 (b) -1 (c) -1/6 (d) y
c
Let i(n) = -16*n + 13. Suppose 3*k + 5*z - 13 = 0, -3*z + 5 = -3*k + 2. Let v be i(k). Which is the closest to 1/3? (a) v (b) -0.051 (c) 1/2
c
Let i = 30 + -29. Let j = -102.67 - -103.1. Which is the nearest to j? (a) -2 (b) i (c) 3
b
Let y = -11.395 + -5.605. Which is the closest to 6? (a) y (b) 0.4 (c) 5
c
Suppose 5*n = 5*x + 560, -x = 3*n - 0*x - 324. Let s = n - 322/3. Let g = -1/145 - -61/435. What is the nearest to 7 in 0.1, s, g?
s
Let y be (6/15)/((-28)/(-35)). Let k = -0.015 + 1.725. Let t = k + 0.29. Which is the nearest to y? (a) t (b) -0.4 (c) 3
b
Let p = 2845.6 + -2846. Which is the nearest to 2? (a) -60 (b) p (c) 1/3
c
Let c = -2.36 - -3.337. Let u = -0.077 + c. Let z be (-5)/21 + 1/(-3). What is the nearest to 0 in -0.5, u, z?
-0.5
Let g = -514 + 503.15. Let j = g - -10.8. Let v = 0.11 + j. Which is the closest to 2/7? (a) -1 (b) v (c) 4/5
b
Suppose -49*u + 201 = -250*u. Let r be (-6)/4*190/(-15). Let y = -37/2 + r. What is the nearest to u in y, 4, 1/21?
1/21
Let f = -0.024 + -8.976. Let x = f - -10. Let r = x + -0.8. Which is the closest to r? (a) -1/4 (b) -2 (c) 1
a
Suppose 15 - 67 = -t. Let j = 51 - t. What is the closest to -1/5 in j, -2/7, 3?
-2/7
Let g = -0.07 + 0.17. Let m = 3.323 - 3.823. Let k = -0.8 - 0.2. What is the closest to g in -0.1, k, m?
-0.1
Let t be ((-660)/(-264))/((-1)/10). Which is the closest to -1/4? (a) 5 (b) -7 (c) 1 (d) t
c
Let s = -347/5 + 69. Let t = 13 + -12. Let b = -3/16 + -11/112. What is the closest to 0 in t, b, s?
b
Let q = 1.1 - 0.1. Let s = 0.206008 + -3.206008. Which is the closest to 1/5? (a) -0.4 (b) s (c) q (d) -5
a
Let u = 7252 - 7249. What is the nearest to -1/15 in 0.5, -3, u, -0.5?
-0.5
Let v = 16/2037 - 10/97. Let m = -2592 - -2593. What is the closest to m in 0, v, -1/11?
0
Suppose 0*k - 2*k = y - 11, 5*y = k. Let q = -2822 - -2821. Which is the nearest to y? (a) q (b) -7 (c) -4/7
c
Suppose 0 = 10*j - 4*j - 558. Let u = j - 75. Let g be (0 - u/40) + 9/45. What is the closest to 1 in 2/7, 0.3, g?
0.3
Let m = -5.4 + 5. Let j = -1113 - -1113.15. Which is the nearest to j? (a) 0.3 (b) m (c) -5
a
Let b = 0.6 - 0.52. Let z = -0.03 + 0.64. Let q = z - 0.71. What is the nearest to b in q, 6/5, -2/17?
q
Suppose -3*g + 4*y + 188 = g, -4*g - y = -208. Let n be (9/16)/(g/34). Let h be 6/24*3/((-3)/4). Which is the nearest to 0? (a) n (b) -3 (c) h
a
Let p = 13 - 77. Let k = 64 + p. Let n = 0.22 - 0.12. Which is the nearest to n? (a) 4/3 (b) 1 (c) k
c
Let w = 69.652 - 0.152. Let y = w + -74.5. Which is the nearest to 0.2? (a) y (b) 0.5 (c) 0.6
b
Let f = 27435 - 27434.7. Which is the nearest to 2? (a) f (b) 0.1 (c) -200/3
a
Let o be (-88)/(-9) + 4/18. Let u be (-4)/o + ((-1836)/(-30))/3. Suppose i = -4*i - u. Which is the nearest to -6/13? (a) -4/5 (b) i (c) 2
a
Let y = -0.2 + -0.3. Let n be (-32)/(-40) + 4*2/(-60). What is the nearest to n in y, 3/4, 1/6?
3/4
Let v be ((-2)/(-15))/(304/(-380)). Which is the nearest to v? (a) -3/5 (b) -0.4 (c) -2
b
Let r = 95 - 14. Let c = r + -80.97. Suppose 15 = -9*x + 6. What is the closest to c in x, -2, 4?
x
Let i be 5/60*2 + (-16)/(-12). What is the closest to 6/11 in 3, i, -10?
i
Let h = 123.65 + 0.35. Let s = -122 + h. What is the nearest to 38 in -1/3, s, 5?
5
Let n = -945/8 - -118. Let r = 18589 + -18588. Which is the closest to r? (a) 1/10 (b) n (c) 4
a
Let f be (-30)/12*(159/55 + 4/(-44)). What is the closest to 1/33 in -2/7, f, 2, -4?
-2/7
Let x = -279.3 + 279.2409. What is the closest to x in 0.2, -0.5, 3?
0.2
Let o = 5.7 - 0.7. Let m = -72.772 - -72.772. Which is the nearest to 0.1? (a) m (b) 0.4 (c) o
a
Let d = -0.0948 - 1.3052. Let p = 3 - 5.6. Let m = d + p. Which is the nearest to 0? (a) 3/4 (b) m (c) 2
a
Let o be 20/3 - (-672)/(-96). Let q = -13 + 11. What is the nearest to q in -5, 2, o?
o
Let k = 0.06 + -0.36. Let g = -0.3 - k. Let a be 285/152 + 3*-3*4/18. What is the nearest to g in -6, a, 1/3?
a
Let l be ((-2)/14*2)/(-19 + 6 - -14). What is the nearest to -0.1 in l, -7/30, 1/10, -10?
-7/30
Let w(z) = -2*z**3 + 102*z**2 + z - 61. Let g be w(51). Let p be (12/135)/(g/(-45)). What is the closest to 0.6 in 1, p, -2, -0.2?
p
Let d(a) = a**3 - 6*a**2 + 5*a + 3. Let r be d(4). Let t = -8080/6039 - -28/6039. What is the nearest to -1/3 in -3, r, t?
t
Let h be (3 - (-45)/(-10))*10/(-3). Let d = 229/2 + -112. What is the nearest to h in 2, d, -3/4?
d
Let j be (-3)/4*4/(-3). Let l = -255.4 - -255. Which is the nearest to 2/3? (a) j (b) 0 (c) -0.6 (d) l
a
Let m = -1493 - -1492.9103. Let q = m + 2.0897. Which is the nearest to 2/3? (a) q (b) 4 (c) 0.3
c
Let g = -175/4 - -43. Let u = -138 + 138.013. Let q = u - -3.987. Which is the closest to 0.2? (a) q (b) g (c) 5
b
Let x = -171.4 + 11.4. Let o = 160 + x. Which is the nearest to -2? (a) 4 (b) o (c) -0.6
c
Let c(m) = 194*m - 8535. Let p be c(44). What is the closest to p in 3/8, 12, -2?
3/8
Let q = 19505.69 + -19506. Which is the nearest to 29? (a) 2 (b) -0.1 (c) 1 (d) q
a
Let v = 0.0277 - 0.4287. Let h = v + -0.099. Which is the closest to -2/5? (a) h (b) 5 (c) -0.2
a
Let t = 7.7 + 0.3. Let i(y) = -845*y + 92948. Let v be i(110). Which is the closest to -7? (a) v (b) t (c) -4
c
Let s(o) = o**3 + 14*o**2 + 12*o + 3. Let j be s(-13). Let m = -13 + j. Let l = -1.2579 + 1.0579. What is the nearest to l in 2/23, 5, m?
2/23
Let t = 83988/5 + -16798. What is the closest to -4 in -62, 0.3, t?
t
Let j be 17*14/2499*54/(-12). Which is the nearest to 2? (a) 4 (b) -12 (c) j
a
Let t = 3 - 4. Let l be 3 + 5 - -3 - ((24 - 13) + -1). Which is the closest to l? (a) -1/6 (b) 0.34 (c) t
b
Let z = -34 + 36. Let k(u) = 2*u**3 + 25*u**2 + 12*u + 18. Let l be k(-12). Suppose -26*q + l = -32*q. Which is the closest to -2/3? (a) z (b) -0.1 (c) q
b
Let t = 27889/2 - 13945. What is the closest to -0.059 in -2/45, -0.4, t?
-2/45
Let k = 6/5 + -4/5. Let m = 147 - 284. Let i = m - -138. Which is the nearest to k? (a) i (b) 1/3 (c) -7/5
b
Let t = -9 - -8.7. Suppose -11 - 9 = 4*x. Let m be (-297)/(-55) + 2/x. Which is the closest to t? (a) -2 (b) 3 (c) m
a
Let s = 0.05 - 0. Let i = 3.1 - 3. Let g be -23 + (11 - 4) + 12. What is the nearest to s in -2, i, g?
i
Let k(m) = 9*m**2 - 909*m - 5. Let o be k(101). Let l = 80 - 79.93. What is the nearest to -0.1 in -0.4, o, l?
l
Let z = 11/7 + -10/7. Let g be (-1610)/4347*3/5*-2. Which is the nearest to z? (a) -1 (b) g (c) 5
b
Let m = -17.62 - -26.62. Let s = 79/5 + -563/35. What is the closest to m in s, 0.2, 2/5?
2/5
Let t = -23 - -45/2. Let v = 32 + 11. Let i = 43.2 - v. Which is the closest to t? (a) 4 (b) i (c) 0.09
c
Let p be -3 + -5 + 5 + 4. Let z be (p/11)/(1/(-2)). Let f(h) = 2*h**2 - 13*h - 5. Let r be f(7). Which is the closest to -2/5? (a) -0.5 (b) r (c) z
a
Let s = -2545 + 2543. What is the closest to -3 in s, -0.3, 5, -0.06?
s
Let f = 0 - 0.1. Let h = -4583.2 - -4581.9. Which is the nearest to h? (a) 2 (b) 1/6 (c) f
c
Let o = 5.7 - 3.7. Let q = -0.43 + 0.63. Let t = 4 + -2. Which is the closest to o? (a) q (b) t (c) -1/4
b
Suppose 18*r - 6 = 20*r + 2*t, -23 = -4*r + t. Which is the closest to 4? (a) 24 (b) r (c) 26
b
Let r(c) = -c**2 + 8*c + 9. Let j be r(9). Suppose -91 = -q - j*q + s, 5*q + 2*s = 434. Let l be (q/(-110))/(5 + 1). What is the nearest to 0 in 2/7, 4, l?
l
Let k(n) = 21 + 67*n + 61*n - 129*n. Let g be k(10). Let m = g + -58/5. What is the closest to 1 in m, -0.5, -0.07?
-0.07
Let g = 1.097 - 1.117. Which is the nearest to g? (a) 0.5 (b) -17 (c) 1 (d) 2
a
Let h be ((-632)/(-44))/(-2)*1 + 7. What is the closest to 0.1 in -14/5, h, -2/13?
-2/13
Let d = -636 - -637.37. Let b = d + -5.37. What is the nearest to 2/33 in 1, b, 1/2?
1/2
Let f = 147.433 + 28.567. What is the closest to -2 in -1, 0.1, f?
-1
Let m = 0.0516 - -214.9484. Let b = 219 - m. What is the nearest to -0.2 in b, -2, 2/9?
2/9
Let o = 957.7 - 958. Which is the closest t
|
{
"pile_set_name": "DM Mathematics"
}
|
ve -2*p + 28 = -4*d, 3587*d - 1815*d - 1776*d - 3*p = -2 for d.
-4
Solve 2*i + 45 = -442*z + 439*z - 7, -i = -6*z - 94 for i.
-2
Solve -45*w + 203*w - 87 = 4*g + 151*w, -3*g + 4*w = 49 for g.
1
Solve 64 = -z + 3*z - 2*x, 3*z + 1048280*x - 112 = 1048279*x for z.
36
Solve -5*c = -36*i - 61, -i + 2212*c - 2210*c = 11 for i.
-1
Solve 0 = -16*o + 18*o - 4*j + 28, -3 + 5 = -j for o.
-18
Solve w - 138 = -2*z - 100, z + 2*w = 19 for z.
19
Solve 0 = x + 3*y + 3, -3 = 266*x - 265*x - 60*y for x.
-3
Solve 2*x - 9*j = -18*j + 3*j + 5*j + 11, -2*x = -x - 4*j + 35 for x.
1
Solve -2*u + 16 = -15*o + 5*o + 13*o, -5*u = -10*u + 2*o - 17 for u.
-1
Solve -9076*b = -9078*b + 33*u - 175, 5*b = -3*u - 10 for b.
-5
Solve 2*t - 757 = -5*b - 712, 17 = 5*t - 3*b + 75 for t.
-5
Solve -7*v + 5*m + 7*m - 17 = 7*m, -9*m = -3*v + 1 + 26 for v.
-6
Solve 90794*p = -2*j + 90792*p + 14, -25 = -2*j - 3*p for j.
-4
Solve -874*w + 867*w = -y - 18, 4*y = -w - 14 for y.
-4
Solve 2*q = 2*o - 20, 5*q + 16 + 10 = -10*o + 22*o - 10*o for o.
8
Solve 5*z + 22 = 3*u - 4, 2*u + 67*z - 8*z = 11*z - 34 for u.
7
Solve 3*z - 4*i + 11 - 3 = 0, 4*i + 99 - 20 = 16*z + 35 for z.
4
Solve 3*h - 3 - 5 = x, -3*x + 10*h + 32243 = 3*h + 32259 for x.
4
Solve o - 15 = 0, 3*x - x + 17 = 2*o - o for x.
-1
Solve 24 = -0*y + 3*y - 28*c + 31*c, 0 = 5*y + 2*c - 1 for y.
-5
Solve -3*z + 2*s = 44, 76*s + 98*s = 5*z + 156*s + 44 for z.
-16
Solve -1124*f + 1120*f - 3*r = -26, 0 = -14*f + 2*r + 66 for f.
5
Solve -o = -15*j + 237, 3*o + 26 = -0*j + 2*j + 4 - 1 for o.
3
Solve -3*q - 1434350*o = -1434351*o - 19, 0 = 7*q - o - 35 for q.
4
Solve 5*i - 15*f - 1385 + 1381 = 546, 115 = 2*i - 3*f for i.
5
Solve g = -3*s + 5, -478*s - 5*g = -486*s + 44 for s.
3
Solve 257 + 269 = -16*b + 32*t - 30*t, -6*b - 5*t = 203 for b.
-33
Solve 2065463*a - 2065468*a = 2*w + 8, 5*a - 4*w = -14 for a.
-2
Solve c - 46 = -10*g, 636*g + 30 = 638*g - 5*c for g.
5
Solve -3*v + 3*g = -111, -4*g - 8*g - 1 = 4*g - 17*g for v.
38
Solve 14*f = -42, f - 541 = -n - 538 for n.
6
Solve 12*y + 11 = 67 + 64, -4 = -3*l - y for l.
-2
Solve 35*s - 87*i + 1365 = 37*s - 628, -3*s - 127 = -5*i for s.
-4
Solve 3*i + 5*v + 43 = 0, 2*i + 0*i = -0*i - 5*v + 65789 - 65831 for i.
-1
Solve 4*m - 2*l = -4*m + 4*m + 10, 5*m + 18*l + 298 = -14*l for m.
-2
Solve -3*a - 9 = -4*i, 69 = -5610*a + 5598*a + 5*i for a.
-7
Solve 5270 - 5245 = -2*n + 3*w, 0 = -3*n + 2*w - 25 for n.
-5
Solve 75 = -9*n + 4*n + 5*y, -12*n - 5*y = -15*n - 75 for n.
0
Solve l + 33156 = -20*n + 33072, 0 = l - 3*n - 8 for l.
-4
Solve 2711*f - 8 = -4*o + 2710*f, -6*f - 68 = -15*o + 10*o for o.
4
Solve 7*i = 704*j - 702*j - 177, -1 = -j for i.
-25
Solve -4*w - 198 = -7*c, 5*w - 9*w - 4*c + 3*c = -42 for w.
3
Solve 2*l = 38*c + 72811 - 73187, 0 = 3*c + 4*l - 38 for c.
10
Solve -10958 = 4*l - 2*l - o - 10945, -3*o = -4*l - 33 for l.
-3
Solve 5*k + 90 = -4*f, 5*k - 284*f + 285*f = -30 for k.
-2
Solve -2*l + 92 = -6*j + 2*j, 2*l - j = -380962 + 380988 for l.
2
Solve -6*w - 30*x - 76 = -6*w - 2*w, 11*x - 15*x + 16 = -4*w for w.
-7
Solve 0 = a + 4*a + 2*x + 127, a + 4 = a + x for a.
-27
Solve 0 = -m - 3*a - 20, 4*m - 240 - 191 = -7*a - 698 + 217 for m.
-2
Solve t + 13*x + 9 = 14*x, 0 = -2*t - x + 6 for t.
-1
Solve 5*j = -d - 23 + 135, 3*j - 2*d + 26 - 88 = 0 for j.
22
Solve 21 - 53 = 7*g - 4*b, -5*g - 7*b + 125 = 0 for g.
4
Solve 20*o + 31 - 59 = -3*n + 59, -58 = -2*n - 2113*o + 2115*o for n.
29
Solve k = b + 2*k + 6, -b + 12 = -k - 0 for b.
3
Solve 10*q + 45 = -5*m, 0*q - 14*m = -3*q - 13*m - 6 for q.
-3
Solve 4538263*t - 2 = 4538261*t + s, -14 = -5*t - 2*s for t.
2
Solve 2*q = -z + 18, 2*z - 3*q - 676615 = -676642 for z.
0
Solve u - 2*s + 29 = 0, 6366*u - 6369*u + 20*s = 87 for u.
-29
Solve 0 = 303*j - 302*j, j - 42 = -10*y + 18 for y.
6
Solve -2*m = -2*t + 92 - 49 + 23 - 52, 5*t - 23 = m for m.
-3
Solve 0 = 2*f + 4*c + 38, 0 = 159*f - 161*f - 5*c - 43 for f.
-9
Solve 3*z + 9 = -2*w - w, -z + 193*w - 349*w = -192*w - 293 for z.
5
Solve -2*y = 3*f - 15, -20*y + 74*f + 958 = 86*y + 70*f for y.
9
Solve 4*f = 2*l - 2, l - 12*l - 90*f - 85 = -19*l + 3*l for l.
-1
Solve 32 = 5*l - p, -l - 89 + 93 = p for l.
6
Solve 16 = 3*f - u + 34, f - 25 + 7 = 13*u + 14 for f.
-7
Solve v = -2*z + 164, -412 = 1658*v - 1661*v - 5*z for v.
4
Solve -y + 11945*n = 11942*n + 31, 3*n = 7*n - 4 for y.
-28
Solve 80 = 2*r + 3*m + 135, -3*r - 5*m - 18 - 73 = 0 for r.
-2
Solve -5*p + 74 = -4*l + 79, 8*p - 22 - 2 = 0 for l.
5
Solve -3*y = -b + 13, -70444*b + 70441*b = 4*y + 26 for b.
-2
Solve 0 = -o - 3*q - 13, -3*q - 23 = -9129*o + 9125*o for o.
2
Solve 5*w + 130 = -18*k - 10*k + 4*w, -75 = -35*k + 36*k - 7*w for k.
-5
Solve 105 = 4647259*f - 4647260*f + 2*p, -4*f - 108 = -2*p for f.
-1
Solve -45 = -3*m - 12*g, -m + 527364*g = 527361*g + 20 for m.
-5
Solve 0 = -3*r - 5*b - 2, 282*r + 2*b + 8 = 280*r for r.
-9
Solve 1215*o + 13*d - 2 - 5 = 1220*o + 3 - 4, o - 3*d = -d for o.
4
Solve -10*y - 3*h + 79 = -y - 4*y, 5*y = -2*h + 76 for y.
14
Solve 3*i + u - 44 = -1, -56*i + 57*i + 4*u = -4 for i.
16
Solve 154*o + 149 = -131*v + 130*v, 0 = 3*v + 2*o - 13 for v.
5
Solve 5*t - 11*f + 7*f = -98, -8 = -4*f for t.
-18
Solve -14 = -10*y - 4*l, -257464*y - 16*l + 236 = -257460*y for y.
-5
Solve -5*p + 48*f + 0 = 52*f + 90, 0 = -4*p - 5*f - 108 for p.
-2
Solve 3*u + 412 = 4*o, 74 = -25*u - 11*u + 38*u + o - 29 for u.
0
Solve -s + 5 - 27 + 18 = 0, 0 = -4*c - 4*s - 32 for c.
-4
Solve -5*s + 3*v = v + 17, -171*v + 279 = 3*s + 978 for s.
-5
Solve 3*r + 3*c = -27, -32 = -5*r + 75*c - 73*c for r.
2
Solve 0 = -4*z + 42*w + 42334 - 42098, -w = -40*z - 154 for z.
-4
Solve 4*v - 2469 + 2461 = -5*w, 9*w = -v - 0*v - 29 for w.
-4
Solve 10*o + 935 = 13*t + 11*o, -375*t + 5*o + 365 = -370*t for t.
72
Solve 4*h = -c - c + 22, -4*h - 7*c - 160 + 207 = 0 for h.
3
Solve 0 = -v + v - 4*t - 36, -3*t = -13*v + 41 + 38 for v.
4
Solve -w - 23 = -j, 5*w + 397*j - 197*j = 203*j - 109 for w.
-20
Solve 0 = 2*t + 4*k + 34, 5*k = t - 13138 + 13085 for t.
3
Solve -5*j = -41*o + 60*o + 124, o + 8 = -6*j + 5*j for j.
-2
Solve 4*i + 8497*d - 23 = 4247*d + 4249*d, 0 = -4*i + 2*d - 10 for i.
3
Solve -9 = -2*i - 481*c + 482*c, -2*i = 8*c for i.
4
Solve -360*q + 71*k + 15 = -363*q + 76*k, -6*q + k + 2*k - 30 = 0 for q.
-5
Solve 24*f - 29*f = -62*d + 166, -3*f = 4*d + 182 for d.
-2
Solve -90*p + 187*p + 10 = 98*p + 2*n, -10 = -p + n for p.
10
Solve -2514302*m + 2514301*m = 2*i - 71, 5*i = m + 181 for m.
-1
Solve 2*u - 4*b = 233 - 289, -3*b + 20 = 4*u for u.
-4
Solve -218*g - 227*g - 5*s = -447*g + 14, 0 = s for g.
7
Solve 5*q - 24159*n = -24155*n - 57, q + 4*n + 21 = 0 for q.
-13
Solve 3*y = 70*a - 72*a - 58, -4*y - 4*a - 84 = 0 for y.
-16
Solve -16*b = -2*b + j + 157, -3*j - 2196 = -b - 2198 for b.
-11
Solve -2*c + 9*f + 1 = 6*f - 8, -716*f = -2*c - 720*f - 26 for c.
-3
Solve -3*c + 3*h = 54, 7890*c - 7891*c = 12*h - 43*h + 48 for c.
-17
Solve -5*y - 112 = 2*h, -104*y + 3*h = -109*y - 108 for y.
-24
Solve n - 4*n + 80 - 147 = 6*f - 100, 0 = 2*n - 2 for f.
5
Solve 0*r + r + 2 = 1, 2153*x = 2149*x - 14*r + 10 for x.
6
Solve -11*v = -2*q + 19, -10*v + 8 - 3 = -5*q for q.
-7
Solve -4*f - 148 = 7*v, 279*v - 104 = 284*v + 2*f for v.
-20
Solve 2*d - 9 = -d, 4*a - 3*d = 7*a + 103 + 68 for a.
-60
Solve -34*h + 13*h + 8 = 3*j + 188, -222 = -4*h + 6*j for h.
-3
Solve -3*z + 23 = 2*h, 1208*h - 1213*h + 85 = -20*z for z.
-1
Solve -131 - 55 = 4*p + 6*d, -19*p + 2*d - 99 - 74 = 6*d for p.
-3
Solve 3*z - 918*p + 916*p + 15 = 0, 135 = -27*z - 4*p for z.
-5
Solve -12*c = -m - 760, -87*m - 307 = -5*c - 89*m for c.
63
Solve 0 = -2*w + 5*r + 135, 0 = -188*w + 189*w - 3*r - 82 for w.
-5
Solve 4*i + 32 - 25 = 401*f - 406*f, 2*f - 50 = -28*i for f.
-3
Solve 0 = 4*a + 5*u - 15, -3*a + 37*u - 32*u - 53 = -73 for a.
5
Solve -22*x = -4*x - 234, -40*t + 3*x = -23*t - 19*t + 41 for t.
1
Solve -h = h + 54*f + 158, -2*f = 56 - 50 for h.
2
Solve -y + 2258 = v + 2263, 2*v + 4 = -y for y.
-6
Solve 4*y + 2*k = 202, -2*y - 193 + 1294 = 45*k - 431 - 3013 for y.
0
Solve 5*n - 10*x + 176 - 16 = -35, 2*x - 2 = 0 for n.
-37
Solve 4*s - 2192 = -3*y + 3*y - y - 2227, -4*s + 3 = 6*y + 33 for s.
-9
Solve 2*i - 3*k - 64 = -i + 2*k, 8*k + 2 = 3*k - 68 for i.
-2
Solve 18*c - 12*c - 5*c - 70 = 13*c - 2*o, 139*o - 28 = -c + 144*o for c.
|
{
"pile_set_name": "DM Mathematics"
}
|
ms in -1 + 150877*b**2 + 1 - 150863*b**2.
14*b**2
Collect the terms in 13*s**3 + 540 - 542 - s**3 + 59*s**3.
71*s**3 - 2
Collect the terms in 63*n**2 - 25*n**2 - 28*n**2 - 30*n**2.
-20*n**2
Collect the terms in j**2 - j**2 - j**2 + 89*j + 14.
-j**2 + 89*j + 14
Collect the terms in 566*w**3 - 634*w**3 + 462*w**3.
394*w**3
Collect the terms in -51*u + 51*u - 108*u**2 - 3*u**3.
-3*u**3 - 108*u**2
Collect the terms in -304 - 947*v**2 + 304.
-947*v**2
Collect the terms in -a**2 - 4298*a**3 + 2261*a**3 + 2164*a**3 + a**2.
127*a**3
Collect the terms in -48*l + 186*l - 46*l - 42*l + 4 - 48*l.
2*l + 4
Collect the terms in 960*r - 64 + 64.
960*r
Collect the terms in 452*f**3 + 348*f**3 - 806*f**3.
-6*f**3
Collect the terms in -2*x**2 + 241739 - 483422 + 241683.
-2*x**2
Collect the terms in 14357*w - 34809*w - 18384*w.
-38836*w
Collect the terms in 52*b + 0*b**2 + b**2 - 26*b - 159*b - 400*b.
b**2 - 533*b
Collect the terms in -33232 - 2*d - 37598 + 23287 + 3*d.
d - 47543
Collect the terms in 216*z + 1203*z**2 - 1207*z**2 - 447*z + 231*z.
-4*z**2
Collect the terms in 43 + 3*q**2 + 46 + 44 - 182 + 49.
3*q**2
Collect the terms in -9 + 9 + 547*l**2 - 3*l**3 + l**3 - 548*l**2.
-2*l**3 - l**2
Collect the terms in 4*b**3 + 8*b**3 - 5*b**3 - 6*b**3 + 5*b**3.
6*b**3
Collect the terms in 84*h**2 - 132*h - 157*h + 289*h.
84*h**2
Collect the terms in h - 2*h + h + 3024*h**2 + 3034*h**2 - 6048*h**2.
10*h**2
Collect the terms in -2 + 143308*j**2 - 143388*j**2 + 0 + 2.
-80*j**2
Collect the terms in 126166*w - 63082*w - 389*w**3 + 111*w**3 - 63084*w.
-278*w**3
Collect the terms in 8*m + m - 6 - 11*m.
-2*m - 6
Collect the terms in -2 + 23045*u + 2 - 23052*u.
-7*u
Collect the terms in 48*g**2 - 147*g**2 + 64*g**2 + 61*g**2.
26*g**2
Collect the terms in 1791167*g - 1791167*g - 104*g**2.
-104*g**2
Collect the terms in 3 + 234*w - 221*w - 215*w.
-202*w + 3
Collect the terms in -119*j**2 - 4*j + 119*j**2 + 1352*j**3 + 4*j.
1352*j**3
Collect the terms in -1527*x**3 + 510*x**3 + 506*x**3 + 499*x**3.
-12*x**3
Collect the terms in 7167551 - 13*v**2 - 7167551 + v**2.
-12*v**2
Collect the terms in -5*k + 65 + 99 + 63 - 227.
-5*k
Collect the terms in -22*i + 54*i - i - 6*i - 3*i + 5*i**2.
5*i**2 + 22*i
Collect the terms in 220787*h**2 + 23*h**3 - 220787*h**2.
23*h**3
Collect the terms in 1227*a + 19328*a**2 - 1227*a - 6685*a**2.
12643*a**2
Collect the terms in 96*z + 13 - 59*z - 13 - 36*z.
z
Collect the terms in -324025*c**2 - c + 324064*c**2 - c.
39*c**2 - 2*c
Collect the terms in -2121 - 404 + v**2 + 0*v**2.
v**2 - 2525
Collect the terms in 205*i**2 - 394*i**2 - 49*i**3 + 189*i**2 - 20*i**3.
-69*i**3
Collect the terms in 169*l**3 + l**2 + 4*l**2 - 5*l**2.
169*l**3
Collect the terms in -130*x + 179*x - 143*x - 89*x - 54*x.
-237*x
Collect the terms in -550*a - 499*a + 743*a.
-306*a
Collect the terms in 6520 - 3991 + 13*f**2 - 2529.
13*f**2
Collect the terms in 3*n + n**2 - 2*n**2 - 5*n**2 - 2*n**3 + 6*n**2 + 140.
-2*n**3 + 3*n + 140
Collect the terms in 715 + 2*q**3 + 2659*q - 2659*q.
2*q**3 + 715
Collect the terms in -7*b**2 + 4*b + 9*b**2 - 9*b**2 - 13*b**2 - 6*b.
-20*b**2 - 2*b
Collect the terms in -a**2 + 4*a**2 - 2*a**2 - 298*a + 2.
a**2 - 298*a + 2
Collect the terms in 59*j + 8*j**2 - 275*j + 216*j.
8*j**2
Collect the terms in -31 + 14133*a**2 + 31.
14133*a**2
Collect the terms in -377*j**2 - 5 + 194*j**2 + 178*j**2 + 5.
-5*j**2
Collect the terms in 16*y**3 + 46*y + 44*y - 136*y - 12*y**3 + 46*y.
4*y**3
Collect the terms in 1830954 - o - 1830954.
-o
Collect the terms in -144*v - v**3 - 81*v + v**3 - 2*v**3.
-2*v**3 - 225*v
Collect the terms in -320*t - 262 + 262.
-320*t
Collect the terms in 3108*q + 3172*q - 6281*q.
-q
Collect the terms in 67*c - 12*c - 19*c - 5 - 23*c.
13*c - 5
Collect the terms in q**3 + 72*q**2 - 113*q**2 - 89 - 3*q**3.
-2*q**3 - 41*q**2 - 89
Collect the terms in 5871*o - 2322*o + 22149*o.
25698*o
Collect the terms in -3423*p**2 - 3414*p**2 + 10220*p**2 - 3413*p**2.
-30*p**2
Collect the terms in -159*h**2 + 3875*h**2 + 6886*h**2.
10602*h**2
Collect the terms in -3 - 11*u + 14*u - 12*u.
-9*u - 3
Collect the terms in 357228 + 18*d**3 - 714452 + 357224.
18*d**3
Collect the terms in -19*f**3 - 26*f**2 + 64*f**2 + 18*f**3.
-f**3 + 38*f**2
Collect the terms in -7*l + 33*l + 27*l - 54*l.
-l
Collect the terms in -40*t**3 + 68*t**3 + 101*t**3.
129*t**3
Collect the terms in -15*g + g + 281*g.
267*g
Collect the terms in 843*t**2 - 425*t**2 - 414*t**2.
4*t**2
Collect the terms in -i**2 - 869*i - 864*i + 25*i**3 + 2601*i - 868*i.
25*i**3 - i**2
Collect the terms in 14*x**2 + 7*x**3 - 10*x**2 - 5*x**3.
2*x**3 + 4*x**2
Collect the terms in 9639*k**2 - 4806*k**2 - 4847*k**2.
-14*k**2
Collect the terms in 62*g - 63*g + 83240 - 83240.
-g
Collect the terms in -63647*u**2 - 63682*u**2 + 127345*u**2.
16*u**2
Collect the terms in 108 + 190*u - 36 - 191*u.
-u + 72
Collect the terms in -2*o**2 - 9599034*o**3 + 9599029*o**3 + 2*o**2.
-5*o**3
Collect the terms in 358*p**3 - 398*p**2 + 398*p**2 + 601*p**3.
959*p**3
Collect the terms in 453*y + 624*y + 0 + 244*y + 2.
1321*y + 2
Collect the terms in -4*q**3 + 4472*q**2 + 12*q**3 + 4477*q**2 - 8949*q**2.
8*q**3
Collect the terms in -123753*k + 247515*k - 123765*k.
-3*k
Collect the terms in -685*d - 681*d - 242*d - 391*d.
-1999*d
Collect the terms in c**3 - 3*c**3 + 2673*c - 29 - 2673*c + 29.
-2*c**3
Collect the terms in -2*g + 13 + 110 - 123.
-2*g
Collect the terms in 10*y**2 - 246*y + 382*y - 19*y**2.
-9*y**2 + 136*y
Collect the terms in 194 - 194 + 68*t**3 - 61*t**3.
7*t**3
Collect the terms in 816 + 5*y - 418 - 398.
5*y
Collect the terms in -23 + 26 + 3*d - 3 - 80*d.
-77*d
Collect the terms in 295*w**3 + 2908*w + 6*w**3 + 143*w**3 - 2908*w.
444*w**3
Collect the terms in 8 + 10*r**2 - 8 + 3 + 0 + 3.
10*r**2 + 6
Collect the terms in -69*w**3 - 78*w**3 + 119*w**3.
-28*w**3
Collect the terms in 4*r**2 - 6*r + 15*r**2 - 15*r**2 - 2*r.
4*r**2 - 8*r
Collect the terms in 1781*k + 4499*k + 2639*k.
8919*k
Collect the terms in -43 - 65963*i + 32981*i + 32979*i.
-3*i - 43
Collect the terms in -2378*b**2 - 2365*b**2 + 4737*b**2.
-6*b**2
Collect the terms in 745 + 751 + 0*f**2 - 3*f**2 + 3*f - 1496.
-3*f**2 + 3*f
Collect the terms in -7*s**3 - s**3 - 5*s**3 + 112 - 6 + 3*s**3.
-10*s**3 + 106
Collect the terms in -2465 - 6*n**3 - 2472 - 2465 + 7402.
-6*n**3
Collect the terms in p**3 - 10499*p**2 + 10516*p**2 + p**3.
2*p**3 + 17*p**2
Collect the terms in 445*t**3 + 345*t**3 - 795*t**3.
-5*t**3
Collect the terms in 11 + 5*d**2 - 26 - 77*d - 26*d**2 + 13.
-21*d**2 - 77*d - 2
Collect the terms in -16*t + 116 - 6 + 29*t - 7.
13*t + 103
Collect the terms in 0 + 0 - 1034*f**3 + 0.
-1034*f**3
Collect the terms in 57*b**2 + 22*b + 2 - 55*b**2 - 2.
2*b**2 + 22*b
Collect the terms in 269*x - 470*x + 15*x.
-186*x
Collect the terms in -62 - 59 + 151 - 30 + 4*h**3.
4*h**3
Collect the terms in 1744*p**3 - 1131*p**2 + 1131*p**2.
1744*p**3
Collect the terms in -76*s - 1114*s**3 + 1126*s**3 + 76*s.
12*s**3
Collect the terms in -19694*u + 1 + 17558*u - 2 + 1.
-2136*u
Collect the terms in 68146*l + 53 + 30621*l - 53.
98767*l
Collect the terms in 26*y**2 - 627314 + 627314.
26*y**2
Collect the terms in 40 + 53*h**2 - 40*h**2 - 21 - 19.
13*h**2
Collect the terms in 9*o**3 - 519289 + 519289.
9*o**3
Collect the terms in -87*i + 51*i - 277*i - 43*i.
-356*i
Collect the terms in -4*i**2 + 24 + 19 + 2*i**2.
-2*i**2 + 43
Collect the terms in 3420*h - 2 - 11*h**2 + 11*h**2 - 4*h**3.
-4*h**3 + 3420*h - 2
Collect the terms in -87087*i - 489791*i - 2564274*i.
-3141152*i
Collect the terms in 162479*m**2 - 81229*m**2 - 81248*m**2.
2*m**2
Collect the terms in -320 - 225 - 6*n**3 + 545.
-6*n**3
Collect the terms in -14*g + g + 13*g - 6019*g**2.
-6019*g**2
Collect the terms in s + 753*s**2 - 720*s**2 + 0*s.
33*s**2 + s
Collect the terms in -21*h - 30312 - 30389 + 60701.
-21*h
Collect the terms in 37*k**3 + 20*k**3 - 68*k**3.
-11*k**3
Collect the terms in 6017*n**2 + 6032*n**2 - 12153*n**2.
-104*n**2
Collect the terms in 138*w - 13 + 6 + 5.
138*w - 2
Collect the terms in h + 35973*h**3 - h - 36061*h**3.
-88*h**3
Collect the terms in -11360*y**2 - 1281*y**2 - 547*y**2 - 11886*y**2.
-25074*y**2
Collect the terms in -2*k + 12*k - 7 + 0*k - 5*k - 3*k.
2*k - 7
Collect the terms in 9*t -
|
{
"pile_set_name": "DM Mathematics"
}
|
te prob of picking 1 a and 1 d when two letters picked without replacement from {d: 6, a: 13}.
26/57
Two letters picked without replacement from {m: 1, r: 2, i: 5, u: 1, b: 8}. What is prob of picking 2 b?
7/34
Calculate prob of picking 1 q and 2 y when three letters picked without replacement from yqyqqqqq.
3/28
Three letters picked without replacement from {t: 2, s: 4}. Give prob of picking 1 t and 2 s.
3/5
Calculate prob of picking 3 j when three letters picked without replacement from jjjjjjvjjjjjjjj.
4/5
What is prob of picking 1 o and 3 y when four letters picked without replacement from yyyoyyoooo?
5/21
What is prob of picking 1 n, 1 a, 1 q, and 1 j when four letters picked without replacement from {e: 2, j: 1, a: 2, q: 2, n: 7, b: 1}?
4/195
Four letters picked without replacement from ehhehhhhjejhjd. Give prob of picking 2 h and 2 e.
9/143
What is prob of picking 4 k when four letters picked without replacement from akkkkkkkakkkakkkakkk?
364/969
Calculate prob of picking 2 f when two letters picked without replacement from ejieifieiieejeiiefe.
1/171
Two letters picked without replacement from ecuceneesncl. What is prob of picking 1 c and 1 e?
2/11
What is prob of picking 1 h and 1 v when two letters picked without replacement from {s: 7, h: 4, v: 2}?
4/39
Calculate prob of picking 2 d when two letters picked without replacement from dddddddzizi.
21/55
Calculate prob of picking 1 b and 1 z when two letters picked without replacement from zbbzzbzzzzzzzzz.
12/35
Two letters picked without replacement from {g: 12, y: 7}. What is prob of picking 1 y and 1 g?
28/57
Calculate prob of picking 2 d, 1 w, and 1 j when four letters picked without replacement from {e: 2, d: 4, w: 8, j: 2}.
24/455
Two letters picked without replacement from mofmfb. Give prob of picking 1 m and 1 o.
2/15
Three letters picked without replacement from myvxxixxaaxam. Give prob of picking 1 x and 2 y.
0
Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {z: 1, a: 2, l: 6, h: 3, r: 2, o: 4}.
8/51
Two letters picked without replacement from {i: 1, m: 1, c: 1}. What is prob of picking 1 c and 1 m?
1/3
Four letters picked without replacement from {s: 4, e: 16}. Give prob of picking 4 e.
364/969
Two letters picked without replacement from ycyyccctyty. Give prob of picking 1 t and 1 c.
8/55
Three letters picked without replacement from hmmgmnmmndimhmm. What is prob of picking 1 h, 1 d, and 1 n?
4/455
What is prob of picking 3 e and 1 d when four letters picked without replacement from eedded?
1/5
What is prob of picking 1 d and 1 k when two letters picked without replacement from ddcykkcyccywwyl?
4/105
What is prob of picking 1 u, 1 h, and 1 m when three letters picked without replacement from {h: 7, p: 1, m: 3, u: 5}?
3/16
Three letters picked without replacement from ssdsstsdpstspptdtd. Give prob of picking 3 p.
1/816
Three letters picked without replacement from {n: 3, h: 4, i: 4}. What is prob of picking 2 h and 1 n?
6/55
What is prob of picking 1 k and 1 q when two letters picked without replacement from {m: 1, p: 2, q: 2, t: 4, k: 3}?
1/11
Four letters picked without replacement from jvsvljvvs. What is prob of picking 1 j, 1 s, and 2 v?
4/21
Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {e: 7, r: 1, k: 2, u: 1, d: 3}.
2/13
Four letters picked without replacement from kkiipisikpkkkpikkki. Give prob of picking 2 i, 1 p, and 1 k.
135/1292
Three letters picked without replacement from ennnnoeeeeeonne. Give prob of picking 1 n and 2 e.
18/65
Two letters picked without replacement from {g: 6, l: 4, o: 1}. Give prob of picking 1 o and 1 l.
4/55
What is prob of picking 2 h when two letters picked without replacement from aahhh?
3/10
What is prob of picking 2 f when two letters picked without replacement from {l: 2, f: 2, m: 3, n: 8}?
1/105
Three letters picked without replacement from {x: 1, g: 3, a: 3}. Give prob of picking 1 x and 2 a.
3/35
Three letters picked without replacement from {q: 2, z: 1, i: 1, f: 2}. Give prob of picking 1 i, 1 z, and 1 q.
1/10
Two letters picked without replacement from {p: 7, g: 7}. Give prob of picking 2 p.
3/13
Two letters picked without replacement from {r: 1, n: 1, s: 2, h: 1, g: 2, w: 1}. Give prob of picking 2 s.
1/28
Two letters picked without replacement from kzzzkzzzz. What is prob of picking 2 z?
7/12
Two letters picked without replacement from {o: 1, h: 1, c: 2, r: 2, l: 2, b: 1}. Give prob of picking 2 l.
1/36
Four letters picked without replacement from ngyyymmygn. Give prob of picking 1 g and 3 y.
4/105
Two letters picked without replacement from ueeeepuneuewouwun. What is prob of picking 1 w and 1 n?
1/34
Three letters picked without replacement from {t: 5, h: 4, x: 4, u: 2, v: 4, n: 1}. What is prob of picking 1 u and 2 h?
1/95
What is prob of picking 2 t and 1 a when three letters picked without replacement from ttttaltlll?
1/12
Two letters picked without replacement from mvsvpmppmrvmrsx. Give prob of picking 1 x and 1 r.
2/105
Two letters picked without replacement from ssnisinsnsinisiii. What is prob of picking 1 i and 1 n?
7/34
Four letters picked without replacement from {i: 3, f: 9, a: 4}. Give prob of picking 1 f, 1 a, and 2 i.
27/455
What is prob of picking 2 g when two letters picked without replacement from {j: 4, w: 2, g: 3, a: 1}?
1/15
What is prob of picking 4 x when four letters picked without replacement from xxxkkkxxxxxxxxx?
33/91
What is prob of picking 2 q, 1 m, and 1 t when four letters picked without replacement from qqmqqmqtmqmqq?
112/715
What is prob of picking 1 r and 1 i when two letters picked without replacement from {r: 3, i: 9}?
9/22
Three letters picked without replacement from whwwhhzw. Give prob of picking 1 h, 1 z, and 1 w.
3/14
Calculate prob of picking 2 k when two letters picked without replacement from {w: 2, l: 1, k: 2, d: 1}.
1/15
What is prob of picking 1 b, 1 h, 1 i, and 1 r when four letters picked without replacement from {h: 2, v: 1, m: 1, r: 1, b: 1, i: 1}?
2/35
Two letters picked without replacement from ayydibibbbdi. Give prob of picking 1 b and 1 y.
4/33
Two letters picked without replacement from dqqddyuddydqqfqfyd. Give prob of picking 2 q.
10/153
Calculate prob of picking 2 c when two letters picked without replacement from ccccccccsccccccccc.
8/9
Two letters picked without replacement from vvvvnudkavkkd. Give prob of picking 1 n and 1 d.
1/39
Four letters picked without replacement from {q: 4, a: 6}. Give prob of picking 3 a and 1 q.
8/21
Calculate prob of picking 1 x and 3 c when four letters picked without replacement from xccjxgxrxcxgxxxxcxcl.
20/969
Four letters picked without replacement from sggrdkdj. What is prob of picking 2 d, 1 g, and 1 s?
1/35
Calculate prob of picking 4 i when four letters picked without replacement from {i: 10, p: 2}.
14/33
Two letters picked without replacement from {v: 1, s: 3, j: 1, h: 3, m: 2, u: 7}. Give prob of picking 1 s and 1 v.
3/136
Three letters picked without replacement from {z: 6, o: 7}. Give prob of picking 3 o.
35/286
Calculate prob of picking 2 l and 1 n when three letters picked without replacement from nnliiinnllnnln.
3/26
Calculate prob of picking 2 o when two letters picked without replacement from ioloioiiol.
2/15
What is prob of picking 1 x and 1 d when two letters picked without replacement from {y: 4, d: 10, x: 5}?
50/171
Calculate prob of picking 3 f and 1 x when four letters picked without replacement from {f: 7, x: 5}.
35/99
Calculate prob of picking 2 j when two letters picked without replacement from {q: 8, f: 1, y: 3, r: 2, d: 1, j: 5}.
1/19
What is prob of picking 2 t and 1 a when three letters picked without replacement from qitiaiiiqqtaaiaiiiqi?
1/285
What is prob of picking 2 u and 2 y when four letters picked without replacement from uguyyguug?
1/21
What is prob of picking 2 q when two letters picked without replacement from eqeeeeeeeeeeqweee?
1/136
Calculate prob of picking 2 x, 1 j, and 1 h when four letters picked without replacement from tcxtfctttjfhxtt.
1/1365
Four letters picked without replacement from tttttttttttftttfft. Give prob of picking 3 t and 1 f.
91/204
Calculate prob of picking 1 u and 1 q when two letters picked witho
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 10*z - 28. Calculate a(-12).
-4
Let s(m) = m**2 + 3*m - 19. What is s(5)?
21
Let w(z) = -z**3 + 5*z - 2. Calculate w(2).
0
Let l(h) = h + 13. Give l(-11).
2
Let v(n) = -n**2 + n - 1. Give v(4).
-13
Let i(u) = -2*u**2 - 16*u + 24. Give i(-11).
-42
Let b(a) = -a**3 - 7*a**2 + 9*a - 3. Give b(-8).
-11
Let n(i) = -i**3 + 2*i**2 + 2*i - 8. Determine n(3).
-11
Let n(m) = -m**2 + 7*m - 5. Determine n(9).
-23
Let m(o) = -o**3 + 19*o**2 - 21*o + 48. Determine m(18).
-6
Let a(i) = 6*i**2 + 32*i + 3. Give a(-6).
27
Let a(u) = -u**3 + 4*u**2 + 12*u - 9. Determine a(5).
26
Let y(t) = -t**3 + t**2 - t + 37. Determine y(0).
37
Let x(a) = -6*a**3 - 4*a**2 + a + 1. Calculate x(1).
-8
Let s(j) = -j**3 - 6*j**2 + 2*j + 22. Calculate s(-7).
57
Let q(v) = v + 1. Determine q(14).
15
Let h(u) = 18*u - 105. Calculate h(5).
-15
Let u(j) = 16*j - 54. Give u(3).
-6
Let r(j) = j**3 - 12*j**2 + 11*j + 7. What is r(11)?
7
Let b(q) = q**3 + 6*q**2 + 9*q + 48. Give b(-6).
-6
Let l(u) = -u + 1. Determine l(2).
-1
Let a(s) = s**3 - 13*s**2 - 13*s - 20. Give a(14).
-6
Let o(q) = 22*q - 62. What is o(3)?
4
Let w(c) = 2*c - 1. Determine w(-6).
-13
Let q(v) = -v**3 + 5*v**2 - v + 5. Calculate q(4).
17
Let l(v) = -v**3 - 13*v**2 + 17*v + 38. Calculate l(-14).
-4
Let m(q) = 3*q - 20. Calculate m(7).
1
Let z(l) = l**3 + 23*l**2 + 23*l + 22. Give z(-22).
0
Let n(f) = f**3 - 16*f**2 - 17*f + 6. What is n(17)?
6
Let u(g) = g**3 - 5*g**2 + 4*g - 41. Determine u(5).
-21
Let z(s) = s**2 + 8*s - 7. Calculate z(-8).
-7
Let r(n) = n**2 - 5*n - 1. Give r(3).
-7
Let l(m) = 9*m + 1. Calculate l(-1).
-8
Let l(k) = k**2 + 2*k - 8. What is l(6)?
40
Let u(p) = 3*p**3 + 40*p**2 + 13*p + 2. Give u(-13).
2
Let n(y) = 6*y - 22. Give n(4).
2
Let x(w) = w**3 + w**2 + w - 6. Determine x(0).
-6
Let t(r) = 4*r**3 + r**2 - 2. Calculate t(-2).
-30
Let u(x) = -2*x**2 - 11*x - 28. Calculate u(-3).
-13
Let d(b) = 4*b**2 + 38*b - 118. What is d(-12)?
2
Let p(g) = g**3 + 4*g**2 - 9*g + 5. Calculate p(-6).
-13
Let m(c) = c**2 - 2*c + 2. Give m(12).
122
Let b(q) = q**3 + 12*q**2 + 12*q + 10. What is b(-11)?
-1
Let u(g) = 2*g - 15. What is u(7)?
-1
Let c(l) = -47*l - 39. Give c(-1).
8
Let u(j) = -j**3 + 12*j**2 + 7*j - 70. Determine u(12).
14
Let v(l) = 32*l + 1. Calculate v(1).
33
Let b(r) = -45*r + 176. Determine b(4).
-4
Let x(w) = -2*w + 3. Determine x(-5).
13
Let d(m) = -2*m**2 - 6*m + 1. Give d(-5).
-19
Let k(g) = -203*g**2 - g + 2. Calculate k(1).
-202
Let a(g) = -g**2 + 2*g + 2. Give a(-7).
-61
Let i(a) = 2*a**3 - 3*a**2 - 4*a - 8. What is i(-2)?
-28
Let r(m) = -4*m**3 + 2*m**2 + 2*m. Calculate r(2).
-20
Let x(j) = -j. What is x(-1)?
1
Let t(p) = 4*p - 16. What is t(3)?
-4
Let l(w) = -w**3 + 4*w**2 - 3*w - 2. Determine l(3).
-2
Let h(f) = 3*f - 18. Give h(8).
6
Let p(z) = -z**3 + 7*z**2 - 4. Calculate p(5).
46
Let r(l) = -2*l**2 + 4*l + 7. Give r(4).
-9
Let v(o) = -o**2 - 3*o + 7. What is v(-7)?
-21
Let f(v) = 3*v - 5. Give f(-3).
-14
Let r(p) = 6*p + 162. Determine r(-12).
90
Let j(i) = -i**2 + 2*i + 191. Determine j(15).
-4
Let r(b) = 25*b + 316. Calculate r(-13).
-9
Let f(h) = -h + 5. Give f(2).
3
Let y(a) = -a**3 + 3*a**2 + a + 1. Calculate y(3).
4
Let k(v) = -7*v - 1. Determine k(5).
-36
Let k(t) = t**3 - 26*t**2 + 24*t + 31. Calculate k(25).
6
Let q(a) = 4*a**2 - 2*a + 1. Determine q(3).
31
Let v(u) = -3*u - 3. What is v(-4)?
9
Let o(g) = -g**3 + 7*g**2 + 48*g - 321. Calculate o(8).
-1
Let n(x) = 2*x**2 + 3*x + 1. What is n(0)?
1
Let y(c) = 13*c - 130. Give y(11).
13
Let l(d) = -20*d + 8. What is l(8)?
-152
Let x(k) = 11*k - 5. Calculate x(3).
28
Let g(z) = -z**3 + 7*z**2 + 2*z + 50. Give g(8).
2
Let v(a) = 85*a - 4. Calculate v(1).
81
Let r(g) = g**2 + 26*g + 136. Determine r(-19).
3
Let l(z) = -z**3 - z + 10. Determine l(2).
0
Let w(l) = -28*l - 8. What is w(-1)?
20
Let k(y) = -2*y - 4. Calculate k(-6).
8
Let r(b) = -b**3 - 3*b**2 + 2*b - 2. Give r(-4).
6
Let m(k) = k**3 - 7*k**2 + k - 13. Calculate m(6).
-43
Let r(y) = 5*y + 2. Calculate r(-5).
-23
Let d(z) = -z**3 - 11*z**2 + 11*z - 12. Determine d(-12).
0
Let y(m) = -4*m - 36. Determine y(-8).
-4
Let w(j) = 2*j**2 - 5*j - 12. Calculate w(4).
0
Let y(k) = 18*k + 92. What is y(-5)?
2
Let k(z) = -z**3 + 3*z**2 + 2*z - 4. What is k(4)?
-12
Let t(x) = 2*x**2 - 62*x + 13. What is t(31)?
13
Let a(g) = -19*g + 37. Give a(7).
-96
Let z(r) = 21*r - 2. Calculate z(3).
61
Let s(x) = -x**2 - 6*x + 1. Calculate s(-5).
6
Let j(h) = 3*h - 7. Calculate j(7).
14
Let i(k) = 4*k**2 + 9*k + 4. Determine i(-4).
32
Let r(f) = 2*f - 34. Determine r(10).
-14
Let z(j) = -j**2 - 12*j + 2. Calculate z(-12).
2
Let k(s) = -19*s - 10. What is k(-3)?
47
Let m(v) = v**3 - v**2 - 13*v + 7. What is m(6)?
109
Let t(z) = -z**3 - 20*z**2 + 18*z - 47. Determine t(-21).
16
Let l(n) = 10*n + 57. Determine l(-5).
7
Let i(h) = 7*h + 6. What is i(-4)?
-22
Let m(d) = d**2 + 2*d - 29. What is m(5)?
6
Let i(h) = h**3 - 17*h**2 - 22*h + 81. Calculate i(18).
9
Let m(x) = 3*x**2 - 9*x + 13. Give m(6).
67
Let q(f) = f**3 + 5*f**2 + 3*f - 1. Determine q(-3).
8
Let v(w) = -w**3 + 3*w**2 + 12*w - 3. Determine v(-3).
15
Let o(l) = l**2 - 7*l + 17. Determine o(6).
11
Let h(y) = -2*y + 16. Give h(9).
-2
Let g(j) = -9*j + 4. What is g(8)?
-68
Let d(o) = -o**3 + 21*o**2 + 24*o - 11. Determine d(22).
33
Let c(r) = r**3 + 4*r**2 - 4*r. Give c(-5).
-5
Let t(m) = m**2 + 7*m + 11. What is t(-5)?
1
Let l(a) = a**3 - 3*a**2 - 6*a + 1. What is l(4)?
-7
Let d(v) = -2*v**2 + 33*v + 23. Give d(17).
6
Let d(k) = 2*k**2 + 113*k - 57. Give d(-57).
0
Let s(l) = l**3 + l**2 + 3*l + 3. Determine s(-2).
-7
Let q(h) = -h**3 - 2*h**2 - 3*h + 3. Calculate q(3).
-51
Let m(g) = g**3 + 9*g**2 + 15*g - 6. Determine m(-5).
19
Let s(d) = -2*d**2 - 22*d + 298. Give s(8).
-6
Let k(y) = y**2 - 7*y - 26. Give k(11).
18
Let d(i) = 5*i + 79. Calculate d(-16).
-1
Let m(b) = 39*b**3 - 4*b**2 - 4*b - 1. Determine m(-1).
-40
Let r(l) = l**3 + 13*l**2 - 18*l - 67. Determine r(-14).
-11
Let o(c) = 6*c**3 + 2*c**2 - 2*c + 1. Give o(1).
7
Let u(c) = 2*c**2 + 2*c - 113. Give u(7).
-1
Let z(i) = 2*i**2 + 19*i + 23. Give z(-7).
-12
Let t(j) = -2*j**2 - 5*j - 9. Give t(-3).
-12
Let h(u) = u**3 + 11*u**2 + 10*u - 8. Give h(-10).
-8
Let w(q) = -2*q + 29. Determine w(15).
-1
Let x(j) = 8*j - 25. Calculate x(8).
39
Let t(d) = -d**3 + 13*d**2 - 5*d + 28. Calculate t(13).
-37
Let s(i) = -i**2 - 3*i + 213. What is s(12)?
33
Let p(u) = u**3 - 5*u**2 + u - 5. Give p(4).
-17
Let m(t) = -t**2 - t + 35. What is m(0)?
35
Let c(a) = -3*a**3 - 4*a + 6. What is c(-3)?
99
Let a(s) = s**3 + 9*s**2 + 9. Determine a(-9).
9
Let y(r) = 5*r - 10. What is y(-6)?
-40
Let z(r) = -r + 19. Determine z(10).
9
Let c(v) = -12*v**3 - 4*v**2 - v + 2. Determine c(-2).
84
Let v(d) = -d - 4. Give v(0).
-4
Let v(j) = -j**3 + 11*j**2 - 39*j + 284. Calculate v(10).
-6
Let u(t) = -t**2 + 9*t - 37. Give u(8).
-29
Let f(o) = -57*o**3 + 3*o + 4. Give f(-1).
58
Let z(a) = a**3 - 3*a**2 + a - 11. Give z(3).
-8
Let h(f) = 2*f**2 + 3*f - 8. What is h(4)?
36
Let d(g) = 20*g + 1. Give d(-1).
-19
Let v(h) = 2*h - 28. What is v(14)?
0
Let z(i) = i**2 - 15*i + 4. Calculate z(10).
-46
Let x(a) = a**3 + 4*a**2 - 6*a - 10. Calculate x(-5).
-5
Let l(z) = -z**3 - 9*z**2 - 11*z - 1. Give l(-8).
23
Let n(g) = g**3 + 9*g**2 + 3*g - 13. What is n(-8)?
27
Let r(p) = 2*p**2 + 13*p + 1. Calculate r(-6).
-5
Let o(y) = -4*y**3 + 12*y**2 + y - 1. Give o(2).
17
Let a(u) = 160*u**2 - 3*u - 2. Calculate a(-1).
161
Let m(k) = k**3 + 7*k**2 + 7*k - 8. Determine m(-5).
7
Let p(r) = r**2 + 12*r + 44. Give p(-6).
8
Let u(g) = 2*g**2 + 4*g - 100. Calculate u(6).
-4
Let o(b) = b**3 - b**2 - 3*b + 4. What is o(4)?
40
Let f(l) = l**2 + 17*l + 8. What is f(-12)?
-52
Let m(t) = -2*t**2 - 21*t - 13. What is m(-10)?
-3
Let f(l) = -l**3 + 28*l**2 - 53*l + 19. Calculate f(26).
-7
Let i(z) = -2*z**2 + 9*z - 6. Determine i(6).
-24
Let l(z) = -z**3 + 4*z**2 + 5*z + 6. Calculate l(5).
6
Let q(r) = 13*r + 4. Determine q(-11).
-139
Let n(r) = -r**3 + 7*r**2 - 4*r - 4. Give n(5).
26
Let d(p) = -32*p**3 + 3*p**2 + 3*p + 1. Determine d(-1).
33
Let d(a) = a**3 - 10*a**2 + 6*a - 1. Calculate d(4).
-73
Let j(c) = -2*c**2 + 40*c - 2. Give j(20).
-2
Let f(u) = u**3 - 7*u**2 + u + 6. Give f(5).
-39
Let g(c) = -c**2 - 2*c + 5. Determine g(
|
{
"pile_set_name": "DM Mathematics"
}
|
prime factors of h(21).
2, 11, 41
Suppose -4*u = 3*j, -2*j + 3*u - 1 = -18. Let r(m) be the second derivative of -m**5/20 + m**4/2 - 3*m**2/2 + 4*m. List the prime factors of r(j).
29
Let l = 11 - 16. What are the prime factors of (l - -4)*(-15)/1?
3, 5
Let n = -144 - -62. Let h = n + 120. What are the prime factors of h?
2, 19
Suppose -70 - 10 = -q. Suppose -2*w = 4*g - q, 3*g - g = w + 36. Let j = 12 + g. What are the prime factors of j?
31
Let o(d) = d + 12. Let y be o(-12). Let g be ((-3)/2 - -2)*y. Suppose 3*m - 2*x = -4*x + 56, 2*x + 4 = g. List the prime factors of m.
2, 5
Let d(i) = -2*i**2 - 27*i + 17. Let a be d(-14). List the prime factors of a - ((-141 - 0/(-2)) + -2).
2, 73
Let n = 600 - 135. List the prime factors of n.
3, 5, 31
Let x(f) = 11*f**2 + 2*f - 1. Suppose m - 22 + 1 = -4*a, -m = -3*a + 7. Suppose 7*r = a*r + 3. List the prime factors of x(r).
2, 3
Suppose 0*k - 5*k = 1100. What are the prime factors of k/30*6/(-4)?
11
Let k = 1198 - 544. What are the prime factors of k?
2, 3, 109
Let m = 16 - 10. Let z(i) = 6*i + 9. Let d(c) = 7*c + 8. Let n(f) = m*z(f) - 5*d(f). What are the prime factors of n(5)?
19
List the prime factors of -33056*8/(-112) - (-4)/(-28).
3, 787
Suppose 0 = -42*c + 39*c + 15. Suppose c*p = 1743 - 248. List the prime factors of p.
13, 23
Suppose 456 = -891*n + 897*n. What are the prime factors of n?
2, 19
Let o = 791 + -203. What are the prime factors of o?
2, 3, 7
Let r(i) = i**2 - 7*i + 9. Let s be r(6). Suppose -3*o - 4*a = -7, 5*o - s*a = 25 + 6. Suppose 0 = 2*b - o*b + 6. What are the prime factors of b?
2
Let n be 1/(-2)*(6 + -16). Let w(p) = 2*p**3 - 5*p**2 - 5*p - 6. List the prime factors of w(n).
2, 47
Suppose -i - 2 = -3. Let w be (-2)/(i + (-44)/46). Let z = -13 - w. List the prime factors of z.
3, 11
Suppose -3*f - 2*m = -1289, -f = 2*f + m - 1291. List the prime factors of f.
431
Suppose -58 - 22 = -5*f. Let p(g) = 18*g - 40. What are the prime factors of p(f)?
2, 31
List the prime factors of (2/2 - 2)/((-1)/61).
61
Let x(o) = -o + 6. Let u = -7 - -13. Let d be x(u). Suppose 106 = -d*t + 3*t + 5*n, 4*t + 2*n = 146. List the prime factors of t.
37
Let i = 2563 + -535. What are the prime factors of i?
2, 3, 13
Suppose 0 = -22*n + 19*n + 57. Let k(v) = -v**3 + 19*v**2 + 14*v - 14. List the prime factors of k(n).
2, 3, 7
Let p = 247 - 39. What are the prime factors of p?
2, 13
Let w = -73 - -76. List the prime factors of (3 - -1 - w)/((-2)/(-356)).
2, 89
Suppose -s = -0*s - 170. Suppose -2*w = -4*n - s - 246, 631 = 3*w + n. What are the prime factors of w?
2, 3, 5, 7
Let s be 19 + -22 - (1 + (-14)/2). Suppose -4*f + 2*b = 0, -3*f = -5*f - b. Suppose f = s*c + g + g - 53, -c + 19 = 2*g. What are the prime factors of c?
17
Suppose 4*k - k + 639 = 3*g, -2*k - 4 = 0. Suppose 5*i + 0*u - 251 = 2*u, 4*i = 5*u + g. What are the prime factors of i?
7
Let r = 6 - 10. Let a(k) = 3*k**2 - 3*k - 6. Let q be a(r). Suppose -2*g + 7*u - 3*u + q = 0, -4*g + 2*u + 96 = 0. List the prime factors of g.
23
Let b = -95 + 380. Let r = -173 + b. List the prime factors of r.
2, 7
Suppose -202*x + 204*x - 154 = 0. What are the prime factors of x?
7, 11
List the prime factors of ((-26)/(-6))/((11/213)/11).
13, 71
Suppose -x = -4*s + 24, 13 = -0*x - 2*x + s. What are the prime factors of x - -12 - (4 + -1)?
5
Let i be 5 - ((-8)/(-6) + 2/(-6)). Let l be ((-6)/9)/((-2)/21). Suppose -3*c = -i*j - 25, 0 = -4*c - j + 1 + l. List the prime factors of c.
3
Suppose -2*g = -5*f + 3629, -6*g - 1454 = -2*f - 4*g. What are the prime factors of f?
5, 29
Suppose 0 = f + 3 - 43. Suppose 2*t + 169 = 3*a, -5*a + 281 = -0*a - 4*t. Let z = a - f. List the prime factors of z.
17
Suppose 18*o - 20*o + 608 = 0. List the prime factors of o.
2, 19
Suppose i + 3*h - 250 = 6*i, i + 50 = -5*h. Let y = i - -113. List the prime factors of y.
3, 7
Let r be (-6)/9*(7 + -4). List the prime factors of r - 67*(-4 - -3).
5, 13
Suppose 0 = -2*o - 2*o + 3*m + 531, m - 527 = -4*o. List the prime factors of o - (-5 + 0 + 2).
3, 5
Suppose 0 = 9*s - 8*s - 6. Suppose -s*o - 270 = -9*o. What are the prime factors of o?
2, 3, 5
Let s = 11 + -8. Suppose 0 - 3 = -s*n. List the prime factors of 55/10*2*n.
11
Let x be 4/8 + 7/(-2) - -2. List the prime factors of (x/(-3))/(11/660).
2, 5
Let w(g) = g**3 - 17*g**2 + 4*g - 18. Let r be w(17). Suppose 0 = -7*x + 12*x - r. What are the prime factors of x?
2, 5
Suppose 98 = -5*y - 42. List the prime factors of (-8)/y - (-122)/14.
3
Let c(j) = 2*j - 7. Let t(k) = k - 1. Let h(y) = -c(y) + 5*t(y). Let d(n) = n**2 - 7*n - 1. Let r be d(8). What are the prime factors of h(r)?
23
Let a(f) = 2*f + 2*f - 10 + 15 + f**3 - 14*f**2 + 0*f**3. What are the prime factors of a(14)?
61
Suppose -3*u = -14*u + 1815. What are the prime factors of u?
3, 5, 11
Suppose t + 4*p + 0*p + 6 = 0, 0 = t + 5*p + 9. Suppose 0 = -t*b + 19*b - 468. What are the prime factors of b?
2, 3
Let u(q) = 7 - 6 + 12*q + 58*q. List the prime factors of u(1).
71
Suppose 0 = -8*x + 110 - 22. Let g = x - 7. Suppose h + g*d + 102 = 3*h, 4*d + 212 = 4*h. What are the prime factors of h?
5, 11
List the prime factors of ((-32)/(-20))/((-76)/(-181735)).
2, 1913
Let p be (-405)/(-10) + 2/(-4). Let d be (2/9)/(7/63). Suppose p = d*r - 56. What are the prime factors of r?
2, 3
Suppose -14*z + 47171 - 12367 = 0. List the prime factors of z.
2, 11, 113
Let p be 136/(-6)*3 + 1. Let o be p*(0 - 1) + 3. Let r = o - 39. What are the prime factors of r?
31
Suppose -3*d + 4*d + 144 = o, -606 = -4*o - 2*d. What are the prime factors of o?
149
Suppose 8*g + 683 - 1867 = 0. List the prime factors of (1870/8)/1 - (-37)/g.
2, 3, 13
Let x be (-86)/(-18) + (-2)/(-9). Let q(u) be the second derivative of u**5/20 - u**4/3 + u**3/6 + 5*u**2/2 + u - 8. List the prime factors of q(x).
5, 7
Let m(x) = 3*x**2 + 5*x - 4. Let h = -30 - -33. Suppose o + 4*p + 0 = -5, -h*o + 5*p + 19 = 0. What are the prime factors of m(o)?
2, 19
Let x(y) = y**2 - 15*y - 6. What are the prime factors of x(-18)?
2, 3, 7
Suppose -m = -2*w, 1 = -2*w - 1. Let q(d) = 29*d**2 - 3*d - 8. List the prime factors of q(m).
2, 3, 19
Let f = 1 + -1. Suppose f = 8*x - 10*x + 182. List the prime factors of x.
7, 13
Let b(w) = 6*w - 16. Let n be b(7). Let k = n + -26. Suppose 2*a - 4*p = -k*p + 28, 0 = 5*a + 2*p - 94. What are the prime factors of a?
2, 3
Let i(h) = 9*h**2. Let f be i(-1). Suppose -5*t = 2*s + 5, -4*s = 5*t - t + 16. Let k = s + f. List the prime factors of k.
2
Suppose 2*s - 8 = 0, 0 = -k - 5*s + 926 + 498. List the prime factors of k.
2, 3, 13
Let g(l) = -194*l - 360. What are the prime factors of g(-4)?
2, 13
Suppose 2*q - 95 = -3*k, -2*q - k - 13 + 110 = 0. Let h = 70 - q. What are the prime factors of h?
3, 7
Suppose -12 = -3*t, -3*t - 500 = 5*n - 6662. List the prime factors of n.
2, 3, 5, 41
What are the prime factors of ((-627)/132)/(3/(-168))?
2, 7, 19
Let t(p) = -8*p + 7. Let b be t(-15). Let j = b + -66. List the prime factors of j.
61
Let c(t) = t**2 - 12*t + 31. Let x be c(-7). Suppose 6*p - 2024 = -x. What are the prime factors of p?
2, 5, 31
Let y = -99 + 230. List the prime factors of y.
131
Let h = 79 + -99. Let b = 29 + h. What are the prime factors of b?
3
What are the prime factors of (-36)/63 - ((-7836)/14)/3?
2, 3, 31
Suppose 3*l + s = 1855, 5*l - 2719 = 4*s + 401. What are the prime factors of l?
2, 5, 31
Suppose 2*p + 0*o - o = 19, 0 = -3*o + 3. Suppose -37 = -3*l - 4*z + 13, p = 3*l - 4*z. Let j = l + 5. List the prime factors of j.
3, 5
Suppose -w + 0*w - 11943 = -5*v, -v = -5*w - 2379. List the prime factors of v.
2389
Let t(a) be the second derivative of -29*a**5/5 - a**4/6 - a**3/3 - a**2/2 - 15*a. List the prime factors of t(-1).
5, 23
Let u = 3378 + -1781. What are the prime factors of u?
1597
Let g(m) = m + 4. Let r be g(6). Let z = 8 - r. What are the prime factors of (12 + 12)/((-3)/z)?
2
Let g(j) = -j**2 - 21*j - 8. Suppose 3*r - 5*w = -1, -r - 4*w = 15 + 8. What are the prime factors of g(r)?
2, 3, 5
Suppose 0*s - 2066 = -2*s - 4*m, 0 = 5*s + 4*m - 5165. What are the prime factors of s?
1033
Let x = -12 + 17. Let v be (-2)/x - 187/(-5). Let i = v + -21. List the prime factors of i.
2
Let s(r) = r - 12. Let z be s(9). What are the prime factors of ((-108)/16)/3*8/z?
2, 3
Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
is greater: v or 1624?
1624
Suppose 33*q + 240 = 90*q + 1209. Which is bigger: q or 22?
22
Let p = 3962 - 3826.45. Let f = p - 135. Which is smaller: f or 0?
0
Let i be 0 - (0 + 2) - -2. Let l be -8 + 11 - 1/(-2 - -1). Let n be l/(-6) - 22/(-21). Are i and n nonequal?
True
Let y be (-43 + 1)*(-5)/15. Let g be (-4)/y + 264/826. Which is greater: 1 or g?
1
Let y = -3113 + 3107. Do y and 273 have the same value?
False
Let u = 0.0801 - 38.4801. Let f = 2 - 42. Let p = u - f. Which is smaller: p or 0?
0
Suppose 40*p - 57 = 41*p. Let j = p + 57. Suppose -v + 7 + 10 = 0. Which is greater: v or j?
v
Let y(z) = 8*z**3. Let c be y(-1). Let o = 39 + -39. Suppose 0 = -2*f + 4*m + 8, 4*f + o = -5*m - 36. Which is greater: f or c?
f
Suppose 598*q - 623*q = -7700. Which is bigger: 7086/23 or q?
7086/23
Let j be (-256)/(-1998) + 134/(-2479) - 58/54. Is j <= 4/1255?
True
Suppose -7*g = -13*g. Suppose g = 8*y - 59 + 3. Which is smaller: y or 3?
3
Let p = -4193.1 + 4193. Does -8/55 = p?
False
Let p = 15248 - 4559162/299. Are p and 1 non-equal?
True
Let c = -5546 + 5509. Which is bigger: -0.9 or c?
-0.9
Suppose -77 = 2*y - 3*y - 3*c, 0 = -3*y + 4*c + 257. Let b(h) = 4*h**2 - 197*h - 67. Let f be b(50). Let d = y - f. Is d <= 1?
True
Let u be 0 + 4/(4/525). Let f = 3139/6 - u. Let a be (-154)/1001 + (-120)/(-273). Which is greater: f or a?
a
Suppose 3*w + 2*i = 3, -w - 7 - 9 = -5*i. Suppose -48*n - 12169 = 123*n - 541. Which is smaller: n or w?
n
Suppose 9 = -2*t + 29. Let y(o) = 8*o**3 - 105*o**2 + 19*o - 65. Let a be y(13). Which is smaller: a or t?
t
Suppose -3*k = 4*s + 8651, 5*k + 278*s + 14500 = 283*s. Is 0.2 less than k?
False
Let s = -6213/2987 - -438/103. Let k = -2036 - -2038. Is k < s?
True
Let j(x) = -12 - 14*x**2 + 3*x - x**3 + 2*x**3 + 15 - 2. Let g be j(14). Is 46 greater than g?
True
Suppose -56 = 30*q - 2*q. Let i(f) = -2*f**3 + 3*f**2 + 2*f - 2. Let n be i(q). Which is greater: n or 27?
27
Let v = 39523/2481394 + -10/661. Which is greater: 0 or v?
v
Let k(o) = o**3 + 10*o**2 - o - 10. Let s = 38 - 48. Let l be k(s). Suppose -5*c + l*c + 3*j - 4 = 0, -4*c - 2*j - 12 = 0. Which is smaller: c or -7/9?
c
Suppose -3*q - 3*h + 12 = 0, -4*h = -2*q - 5*h + 5. Which is bigger: q or -62/363?
q
Let j = 49048 + -48606574/991. Do 0 and j have the same value?
False
Let i = -73.81 - -73.81. Is 3/64 less than or equal to i?
False
Suppose -171 = 2*o - 1399. Let l = -601 + o. Suppose 3*n - 6*n = 5*u - 42, 3*u = -4*n + 23. Is l bigger than u?
True
Let j = 11 + -10. Let l be 3/(12/80)*j. Suppose -5*x = 5*g - 50, -6*g + 4*g - 3*x = -l. Is g at least as big as 0.2?
True
Let r = -40328036064/43 - -30196628691653/32207. Let p = 281626 + r. Let a = -3/107 - p. Which is bigger: -0.048 or a?
-0.048
Let y = 1227.8 - 1228. Let m = -21 - -19.6. Which is greater: y or m?
y
Let v(x) = -2*x + 10. Let q be v(7). Let g = q - -3. Let a be -1 - (15/(-30))/(7/4). Which is bigger: a or g?
a
Suppose 4937*b - 2142 = 5063*b. Let k(x) = -23*x + 1. Let y be k(1). Which is smaller: b or y?
y
Let h(q) = q**2 - q. Let g be h(-2). Suppose -2*o + f + 3*f + 412 = 0, o + 3*f = 221. Let c be o/2438 + (-188)/46. Which is smaller: g or c?
c
Let s = 90.9455 - -0.0545. Let p = s + -90.973. Which is smaller: 2/7 or p?
p
Suppose 2 = -20*o + 82. Suppose -4 = o*g, 5*a + 53 + 79 = -2*g. Let w(p) = 5*p + 3. Let n be w(-6). Are a and n equal?
False
Let h(w) = w**2 + 39*w - 1183. Let x be h(-59). Let g be (2 + (-16)/3)*(-6)/(-4). Is g bigger than x?
False
Suppose -5215*a - 25080 = -5203*a. Is -2083 equal to a?
False
Suppose 0 = 2*d + z - 0 + 243, -2*d = -4*z + 268. Which is smaller: -117 or d?
d
Suppose 0 = 3*o - 10*o + 1932. Let z = o + -276. Is z greater than -30/49?
True
Let c be 5600/(-650) + 6/9. Do -8 and c have the same value?
False
Let m = 19.552 - 19.3. Let h = -3.252 + m. Which is smaller: h or -8/5?
h
Suppose -2*g + i - 1 = 0, 0 = -26*g + 24*g + 2*i - 4. Which is bigger: 1/2197 or g?
g
Suppose -5*h + 4*p = 254, 56 + 48 = -2*h + 4*p. Let x be (-3)/((-81)/h)*1518/(-92). Is x at most 30?
False
Let r = 1621828/494475 + 2/19779. Let a = -17908/5475 + r. Which is smaller: a or 1?
a
Let a = 215 + -3271. Is -21384/7 at most a?
False
Let i = -227 - -366. Let t = i - 139.1. Do -101 and t have the same value?
False
Suppose 0 = 5*k - 9 - 56. Suppose 0 = 5*g + i - 1, 0 = 6*g - g + 5*i - 5. Suppose 0 = -2*v - 3*d + 19, -4*d + 6*d + 6 = g. Is k at least v?
False
Let r be 4/(-8)*6 - (28848/45)/8. Is -83 bigger than r?
True
Let c(v) = 4*v - 70. Let b be c(18). Let n be -2*b/(-4)*-1. Which is smaller: 2/299 or n?
n
Let r be (-48)/(-3 - -11) + (-18 - -18). Which is smaller: -1648 or r?
-1648
Let p = 114779/3 - 39409. Is p at most as big as -1150?
False
Let g be -1 + ((-50)/(-5))/(32/(-500)). Which is greater: g or 1?
1
Suppose -3*g + z - 275 = 0, 0 = -0*g + g + 3*z + 105. Let t be (-1 + g/(-90))*(-840)/(-96). Do t and -1 have the same value?
False
Let v = 72.1021 + 0.0979. Let n = 80.2 - v. Which is smaller: n or 14/5?
14/5
Let j = 36 - 26. Let u(z) = 11*z**2 - 10*z + 5*z + 4 - 3*z + 14 - z**3 - 30. Let f be u(j). Which is bigger: 0.5 or f?
f
Let r = 237.5 + -322.5. Is -0.1 at least r?
True
Let h be 1*0*(-2)/(-4). Let f = -416.6 - -81.6. Let k = 356 + f. Is k bigger than h?
True
Let d = -14449/6 + 2401. Let k = d + 20/3. Which is bigger: k or 90?
90
Let n be -3*(-1)/6*(-1800)/(-4950). Let q(l) = -l**2 - 9*l - 8. Let i be q(-6). Suppose -2*j = -y + i, 3*y = y + 3*j + 15. Do n and y have the same value?
False
Let r be ((-11478)/(-21))/(180/(-252)). Which is smaller: -766 or r?
-766
Let d(l) = l**3 + 8*l**2 + 12*l - 1. Let i be d(-6). Let x be (-3 - (-282)/92)/((-96)/64)*4. Which is smaller: i or x?
i
Let v be (31886/(-1070))/(3/(-45)). Is 455 != v?
True
Suppose -43*h + 42*h - 7 = -5*c, -3*c + 3 = -h. Let s(b) = 3*b**3 - 4*b**2 + b. Let d be s(2). Which is smaller: h or d?
h
Suppose 0 = -21*s + 30*s - 36. Let q be (-10 + (-556)/(-56))/((-22)/s). Which is smaller: 0 or q?
0
Let i(z) = -4*z - 57. Let h be i(-28). Let s be (-4)/(-5 + h/15). Let d be (-1)/2*s*(-153)/(-81). Which is smaller: d or -2?
d
Suppose -4 = -h + 1. Suppose 0 = -h*c + y - 15, c + 3 = -0*y - 5*y. Let l be (0 - 3/(-162)*c)*4. Which is greater: l or 1?
1
Let s(i) = 3*i**2 - 32*i + 47. Let o be s(9). Let t(v) = 24*v**2 - 2*v - 1. Let u be t(-1). Suppose y - 58 = 4*x, -y = o*x - 71 + u. Which is smaller: 49 or y?
49
Let c(l) = -l**3 + 14*l**2 + 12*l + 47. Let s be c(15). Let m be (-1 + s)/(-11*1/(-2)). Which is bigger: m or 5?
5
Suppose 4*g + 5*j + 33 = 0, 5*g + 43 = -5*j + 8. Let s be (g - 12/(-9))/(12/(-54)). Is 36/13 smaller than s?
True
Suppose 7*x - 119 = 343. Let w be x/18 - (-1 + 4). Which is smaller: w or 3/44?
3/44
Let r be 17/(-170) + (17913/(-390))/(-7). Which is smaller: -3/4 or r?
-3/4
Suppose 3*x = -17*x - 4327 + 91707. Is 4368 not equal to x?
True
Let w = 13.1893 - 0.1893. Is 111 smaller than w?
False
Let a = 0 + -2. Let f = -20181 - -20235. Which is smaller: f or a?
a
Let j(p) = p**2 - 7*p + 18. Let i be j(4). Suppose -341 - 145 = i*r. Is r at least as big as -81?
True
Let d be (-2)/(-5) + (-63)/(-5). Suppose 640*q - 636*q = 712. Suppose -24*r + q = -182. Is r equal to d?
False
Let h = 53 - -38. Let f = 111 - h. Let q(n) = -n**2 + 19*n + 19. Let k be q(f). Which is smaller: k or -2/147?
k
Suppose 2 - 22 = 2*y. Let c = 24 + 16. Let q = c + y. Do q and 31 have the same value?
False
Let r be -13*1*1/(-9)*-423. Which is greater: -3665/6 or r?
-3665/6
Let j = -4127 - -4126.293. Is -2/9 < j?
False
Let o = -16 + 1. Let q be 10 + -5 - (-6 - -1). Let w be ((-2)/q + (-9)/180)*1. Which is smaller: o or w?
o
Suppose 243*u = 248*u - 1805. Let r = u + -532. Is -172 at most r?
True
Let w = -1227 + 94477/77. Let b be (-345)/20*-1 + (-1)/4. Let z be ((4/(-6))/(b/51))/2. Which is smaller: z or w?
z
Let y(r) = -26*r**2 + 14*r + 15. Let b be y(-1). Let s be ((-45)/b)/9*2. Is s at least -24/19?
True
Let n be (-3 - -4)*(0 - 6). Let d be 1/(n/(-4068)*-3). Which is greater: d or -225?
-225
Let m = 14 - -2. Suppose -c - m*c + 34 = 0. Is 2 smaller than c?
False
Suppose -25*y - 7890 = -8*y + 5387. Are -773 and y nonequal?
True
Let j be 1*-4*(-58)/8. Let a = -1/409 + 22497/818. Is a greater than j?
False
Let a be (-85)/(-25) + (-4)/10. Suppose -3*h + 14 = 2, 4*h
|
{
"pile_set_name": "DM Mathematics"
}
|
e power of 1/2, to the nearest integer?
2318
What is 13350161 to the power of 1/2, to the nearest integer?
3654
What is the third root of 31073141 to the nearest integer?
314
What is the fifth root of 12115857 to the nearest integer?
26
What is the sixth root of 1334668 to the nearest integer?
10
What is the third root of 11215685 to the nearest integer?
224
What is the cube root of 366247 to the nearest integer?
72
What is the square root of 1506424 to the nearest integer?
1227
What is the third root of 1697755 to the nearest integer?
119
What is the eighth root of 1803389 to the nearest integer?
6
What is the third root of 11012525 to the nearest integer?
222
What is the cube root of 3235778 to the nearest integer?
148
What is the third root of 945185 to the nearest integer?
98
What is the square root of 3190252 to the nearest integer?
1786
What is the fourth root of 26581 to the nearest integer?
13
What is the ninth root of 1577127 to the nearest integer?
5
What is 68995 to the power of 1/4, to the nearest integer?
16
What is 3534426 to the power of 1/2, to the nearest integer?
1880
What is the seventh root of 108951 to the nearest integer?
5
What is the square root of 245795 to the nearest integer?
496
What is 146090 to the power of 1/9, to the nearest integer?
4
What is 106725 to the power of 1/8, to the nearest integer?
4
What is the cube root of 156715 to the nearest integer?
54
What is 19218689 to the power of 1/2, to the nearest integer?
4384
What is the square root of 64857 to the nearest integer?
255
What is 650334 to the power of 1/2, to the nearest integer?
806
What is the cube root of 1070762 to the nearest integer?
102
What is the seventh root of 108893 to the nearest integer?
5
What is the square root of 515792 to the nearest integer?
718
What is 160196 to the power of 1/2, to the nearest integer?
400
What is 241609 to the power of 1/2, to the nearest integer?
492
What is 7893 to the power of 1/5, to the nearest integer?
6
What is 423991 to the power of 1/2, to the nearest integer?
651
What is the third root of 2022881 to the nearest integer?
126
What is 4524446 to the power of 1/2, to the nearest integer?
2127
What is the fourth root of 327296 to the nearest integer?
24
What is 424815 to the power of 1/10, to the nearest integer?
4
What is 3252596 to the power of 1/2, to the nearest integer?
1803
What is the square root of 5373582 to the nearest integer?
2318
What is 1392955 to the power of 1/3, to the nearest integer?
112
What is 2073226 to the power of 1/2, to the nearest integer?
1440
What is the third root of 27651885 to the nearest integer?
302
What is the cube root of 56314 to the nearest integer?
38
What is 669426 to the power of 1/2, to the nearest integer?
818
What is 46372 to the power of 1/3, to the nearest integer?
36
What is the eighth root of 5050030 to the nearest integer?
7
What is the square root of 787718 to the nearest integer?
888
What is 540275 to the power of 1/3, to the nearest integer?
81
What is the cube root of 9715899 to the nearest integer?
213
What is the seventh root of 155518 to the nearest integer?
6
What is 7229258 to the power of 1/3, to the nearest integer?
193
What is 5284846 to the power of 1/2, to the nearest integer?
2299
What is the seventh root of 1394215 to the nearest integer?
8
What is the fifth root of 994119 to the nearest integer?
16
What is the third root of 375329 to the nearest integer?
72
What is the square root of 5965130 to the nearest integer?
2442
What is 555276 to the power of 1/3, to the nearest integer?
82
What is the cube root of 293898 to the nearest integer?
66
What is the fourth root of 321725 to the nearest integer?
24
What is the third root of 8531236 to the nearest integer?
204
What is 14696552 to the power of 1/2, to the nearest integer?
3834
What is 544834 to the power of 1/2, to the nearest integer?
738
What is the square root of 9136395 to the nearest integer?
3023
What is 11001960 to the power of 1/3, to the nearest integer?
222
What is 765816 to the power of 1/5, to the nearest integer?
15
What is the cube root of 237084 to the nearest integer?
62
What is the third root of 27837733 to the nearest integer?
303
What is the tenth root of 214818 to the nearest integer?
3
What is 5173030 to the power of 1/8, to the nearest integer?
7
What is the cube root of 3367001 to the nearest integer?
150
What is the cube root of 33153 to the nearest integer?
32
What is the square root of 4234187 to the nearest integer?
2058
What is the fifth root of 33740 to the nearest integer?
8
What is 4995302 to the power of 1/6, to the nearest integer?
13
What is the square root of 121681 to the nearest integer?
349
What is the fourth root of 1633219 to the nearest integer?
36
What is 585739 to the power of 1/2, to the nearest integer?
765
What is 1065809 to the power of 1/5, to the nearest integer?
16
What is 11396355 to the power of 1/2, to the nearest integer?
3376
What is the fifth root of 1923375 to the nearest integer?
18
What is 802327 to the power of 1/3, to the nearest integer?
93
What is 635890 to the power of 1/4, to the nearest integer?
28
What is the cube root of 87165 to the nearest integer?
44
What is the square root of 723130 to the nearest integer?
850
What is the square root of 11036159 to the nearest integer?
3322
What is the square root of 2470322 to the nearest integer?
1572
What is the fourth root of 259033 to the nearest integer?
23
What is 1582864 to the power of 1/2, to the nearest integer?
1258
What is 10523682 to the power of 1/2, to the nearest integer?
3244
What is the ninth root of 414825 to the nearest integer?
4
What is 111294 to the power of 1/3, to the nearest integer?
48
What is 236193 to the power of 1/5, to the nearest integer?
12
What is the square root of 1884630 to the nearest integer?
1373
What is 2175570 to the power of 1/2, to the nearest integer?
1475
What is the third root of 211079 to the nearest integer?
60
What is the cube root of 1870068 to the nearest integer?
123
What is the fifth root of 154165 to the nearest integer?
11
What is 104937 to the power of 1/3, to the nearest integer?
47
What is the square root of 1601031 to the nearest integer?
1265
What is the ninth root of 1598837 to the nearest integer?
5
What is the cube root of 252002 to the nearest integer?
63
What is the third root of 672621 to the nearest integer?
88
What is the eighth root of 46764 to the nearest integer?
4
What is 8984201 to the power of 1/3, to the nearest integer?
208
What is the square root of 478652 to the nearest integer?
692
What is the third root of 8934223 to the nearest integer?
208
What is the square root of 854098 to the nearest integer?
924
What is 7119079 to the power of 1/3, to the nearest integer?
192
What is the cube root of 694803 to the nearest integer?
89
What is 797189 to the power of 1/3, to the nearest integer?
93
What is 269733 to the power of 1/5, to the nearest integer?
12
What is 3285532 to the power of 1/3, to the nearest integer?
149
What is the square root of 396337 to the nearest integer?
630
What is 3684020 to the power of 1/5, to the nearest integer?
21
What is 142763 to the power of 1/3, to the nearest integer?
52
What is 44242552 to the power of 1/3, to the nearest integer?
354
What is the third root of 112468 to the nearest integer?
48
What is 1908292 to the power of 1/2, to the nearest integer?
1381
What is the cube root of 6864561 to the nearest integer?
190
What is the square root of 842891 to the nearest integer?
918
What is the third root of 4550041 to the nearest integer?
166
What is the fifth root of 628018 to the nearest integer?
14
What is 32117 to the power of 1/2, to the nearest integer?
179
What is the cube root of 2782476 to the nearest integer?
141
What is the cube root of 3659258 to the nearest integer?
154
What is 7889285 to the power of 1/2, to the nearest integer?
2809
What is 1383678 to the power of 1/5, to the nearest integer?
17
What is the square root of 863978 to the nearest integer?
930
What is the third root of 196633 to the nearest integer?
58
What is the cube root of 3775905 to the nearest integer?
156
What is 2062017 to the power of 1/7, to the nearest integer?
8
What is the seventh root of 560
|
{
"pile_set_name": "DM Mathematics"
}
|
= l - 3*l, 3*l - 136 = -x*w. Solve 0 = 4*h - 11 + w for h.
-5
Suppose 4*n + 3*n - 140 = 0. Suppose 6*b = 2*b + 3*g - 12, 5*b - 5*g + n = 0. Solve 2*x - 4 = -b for x.
2
Let s = 40 - 13. Suppose 4*n - s = n. Suppose -n = -4*o + 23. Solve o*g - 15 = 3*g for g.
3
Let b be (-75)/(-100)*(4 - 76/(-3)). Solve -b = 4*z - 30 for z.
2
Let r(j) = -j**2 + 12*j + 72. Let z be r(16). Solve 0 = -11*h - h + z*h for h.
0
Let u = -2 - -11. Let v(b) = -b**3 + 9*b**2 - b + 12. Let z be v(u). Let p(c) = -4*c**3 - 2*c**2 + 2*c. Let q be p(-2). Solve -s - z*s = q for s.
-5
Suppose -6*b = -15 - 15. Solve -v + 8 = -b*v for v.
-2
Let n = 162 + -158. Solve 2 = -n*i + 2*i for i.
-1
Let p(x) = x**3 - x**2 + x + 12. Let j be p(0). Suppose -3*t + j = 6. Solve -n + t*n = -4 for n.
-4
Let u(b) = -b**2 - 18*b - 17. Let g be u(-17). Suppose g = -12*a + 9*a + 6. Suppose -2*s + r = -r + 2, 45 = 5*s + 5*r. Solve -2*y = a*y - s for y.
1
Suppose -3*y + 19 = 1. Solve -y*u + u = 0 for u.
0
Suppose 3 + 1 = u. Let n(g) = -6*g + 8. Let k(a) = a + 1. Let x(b) = 5*k(b) + n(b). Let i be x(7). Solve -u*q + 7*q + i = 0 for q.
-2
Suppose j = -5*x + 4*j + 27, 4*j = -x - 13. Suppose -3*s = -5*b + 39, -b - 4*s + s + 15 = 0. Solve -x*c - b = 6 for c.
-5
Suppose z = -6*z - 14. Let q(f) = -11*f - 5. Let s be q(z). Solve -3 = 5*m + s for m.
-4
Let n be (-1 - -2)*(4 + -2). Let x be (5/(-4))/(n/8). Let q be (8/(-20))/(1/x). Solve 2*h + q*h = -20 for h.
-5
Let a(t) = -3*t - 24. Let s be a(7). Let z = 48 + s. Solve -10 = z*g + 2*g for g.
-2
Suppose -2*w = 3*d + 3, -2*w = -4*w + 5*d - 27. Let v be (-260)/(-22) - w/33. Suppose -3*o = g - v, 2*o + 2*o = 2*g + 16. Solve -2*f + o = -0 for f.
2
Suppose -9*j = -12*j + 78. Let v = j - 25. Solve -v + 2 = z for z.
1
Suppose 0 = -4*b + 4*j + 64, 2*b + 2*j - 23 = j. Let w(l) be the first derivative of -l**2/2 + 15*l + 112. Let z be w(b). Solve -z*f = -7*f for f.
0
Suppose -4*j + 4*n + 23 + 1 = 0, 3*j = 4*n + 22. Let y be (0/(-2))/(-94 - -95). Solve y = -f - f - j for f.
-1
Let d(u) = -u + 8. Let k be d(2). Suppose 8*j - 16 = k*j. Solve -v + 5*v = -j for v.
-2
Let c(k) be the first derivative of -k**3/3 - 9*k**2/2 - 9*k - 10. Let n be c(-7). Solve -n*q + 20 + 0 = 0 for q.
4
Suppose -3*v - v + 4 = 0. Let n be 14/4*((-12)/(-14))/(300/400). Solve -t + v + n = 0 for t.
5
Let x = -11 - -16. Suppose -15*n + 7*n = 0. Solve x*a - 4*a + 5 = n for a.
-5
Let i = 28 - 21. Suppose -4*g = -i*g. Suppose g = 4*h - 4*y + 8, -2*h - 4*y = h - 8. Solve h = 2*r + 4 + 4 for r.
-4
Let v(s) be the third derivative of s**4/24 - s**3/2 - 2*s**2. Let t be v(3). Let z be 102/5 + 18/30. Solve 4*y - 1 + z = t for y.
-5
Let x = 653 - 358. Solve x*h - 296*h = 0 for h.
0
Let j(y) = 5*y - 73. Let s be 873/51 + (4 - (-280)/(-68)). Let l be j(s). Solve l = -g - 2*g for g.
-4
Suppose 0 = -17*r + 218 - 184. Solve -37 + 31 = -r*x for x.
3
Let j(f) = 3*f + 4. Let a(l) = -4*l - 3. Let c(k) = -2*a(k) - 3*j(k). Suppose -4*m - 2*g = 38, 27 = -2*m - 4*g - 1. Let v be c(m). Solve v*n = -4 - 4 for n.
-4
Suppose 2*d + 0*d = 600. Suppose -5*s + d = -0*s. Suppose 2*g + s = 2*l + 2*l, 60 = 4*l + 5*g. Solve u - 6*u = l for u.
-3
Suppose 2*m - 8*f - 49 = -9*f, -29 = -2*m + 3*f. Solve 26*q = m*q + 8 for q.
2
Suppose 0 = -3*k + 9 - 0. Suppose -3*y + 4 = -y. Solve -y*b + k = -3 for b.
3
Let b = 18 + -17. Solve -c - b = 3 for c.
-4
Suppose 0 = 4*y - 9*y + 10. Let r = 32 + -26. Solve 4 + r = -y*o for o.
-5
Suppose -3*m - 5*c = 4, 5*c - 2*c = 3. Let n(i) = -i + 9. Let l be n(8). Let j be m/6*-4 - l. Solve 4*a - 3 - j = 0 for a.
1
Let j = -37 - -33. Let t be (-155)/(-10) - 3 - (-6)/j. Solve 5*l = -t - 4 for l.
-3
Suppose -4*s + 13 = n, n - 2*n - 23 = -5*s. Suppose -2*c - 2 = -s. Let y be c/(1 - (-3)/(-6)). Solve -y*m + 3 = -3*m for m.
-3
Let c(w) = -w**2 - 11*w - 5. Let n be c(-9). Let t(g) = g**3 - 14*g**2 + 13*g + 3. Let f be t(n). Solve -f = -0*h + 3*h for h.
-1
Let c be -6*((-24)/(-16) - (-1 - -1)). Let p be ((-28)/(-3))/((6/c)/(-1)). Solve -2*q + p = 6 for q.
4
Suppose -4*b + 2*h + 3*h = -28, -8 = -2*h. Let n = b - 9. Let o be 0 + 3/(-3) + n. Solve -4 = 6*k - o*k for k.
-1
Let h(m) = -m - 3. Suppose -4*j - 89 = -41. Let u be h(j). Solve -5*v + u*v = 8 for v.
2
Suppose z = -2, 1 = k + 5*z + 10. Let s be (k - 4)*(-5 + 2 + 2). Solve -12 = -3*c + s for c.
5
Let w = -290 - -293. Solve -w*r = 2*r + 20 for r.
-4
Suppose 52 - 22 = 6*l. Suppose l*y + 10 = 0, 2*p - 4*y + 4 = 5*p. Solve 0 = p*v + 11 + 1 for v.
-3
Let n(g) = 15*g + 65. Let i(u) = 5*u + 21. Let d(o) = 17*i(o) - 6*n(o). Let j be d(-9). Solve t + 17 - j = 0 for t.
-5
Suppose 0 = 3*w + 5*q - 5, -q + 4 = -4*w + 26. Let f = -141 + 147. Suppose 8*o = w*o + f. Solve o = 3*z - 4 for z.
2
Let w be ((-2)/(-5))/((-4)/(-20)). Let t be (10/(-4) + w)*-4. Solve t*g + 3*g = -10 for g.
-2
Suppose 4*o = -3*g + 43, -4*o + g = 21 - 60. Solve o*r - 25 = 5*r for r.
5
Let u(a) = a**3 - 12*a**2 - 14*a + 20. Let j be u(13). Solve j*i + 3 = 17 for i.
2
Suppose -z = -4*s + 12 + 1, -6 = 2*z - 3*s. Solve 9*b - 8*b - z = 0 for b.
3
Let u = 26 - 23. Suppose -u*t + 8 = -t. Suppose t*n = -v - 0*v + 18, 5*v + 20 = 2*n. Solve -3*h = -n*h + 2 for h.
1
Let x(t) = -t**2 + 10*t - 6. Let k be x(7). Let v = -6 + k. Suppose 0 = -3*u + v + 9. Solve b = -b + u for b.
3
Suppose q = 5*k + 22, 2 - 5 = -4*q + 3*k. Let f(i) = i + 7. Let a be f(q). Suppose 0*p = 4*u - a*p - 4, -2*p = -4*u + 10. Solve -u*h + h = 3 for h.
-1
Suppose 1 = 10*c + 1. Solve p + 0*p = c for p.
0
Let z = 0 - 0. Let a be 1*4 + 69 + -70 + 0. Solve -a*n + n - 8 = z for n.
-4
Suppose -m - 80 = -4*p + m, 2*p - 56 = -3*m. Let h = -19 + p. Suppose -f + 17 = -4*x, -6*x + h*x + 1 = 2*f. Solve -4*g = g + f for g.
-1
Let g = 71 + -53. Solve 4*t - g = 10*t for t.
-3
Suppose -w + 6*w - 28 = -u, u + w = 8. Suppose 14 = s - u*s. Let n = s + 9. Solve 5*t = -n + 27 for t.
5
Let x be (-3 - -1 - -5) + 14 + -10. Solve x = 5*s - 3 for s.
2
Let u(i) = i**3 - i**2 + 1. Let v be u(2). Suppose -4*h + 5*s + 16 = 0, -h + 15*s + 4 = 13*s. Solve -h*w + 17 = v for w.
3
Let p be 0 + (-3 - (-1)/(-1)). Let q(x) = -3*x - 11. Let k be q(p). Let w be (-12 - 5)/(k/(-1)). Solve -3 = -5*f + w for f.
4
Let z = -40 - -42. Let m be -1 - 6*z/(-4). Solve m*j - 3 = 5 for j.
4
Let f be 0 + -1 + (12/2)/1. Solve -2*a - f - 5 = 0 for a.
-5
Let r be 1/((-1)/24*3). Let u be r/24 + (-1)/(-3). Solve -4*v + 1 + 3 = u for v.
1
Let m(q) = 13*q + 75. Let t(l) = -39*l - 226. Let x(p) = -7*m(p) - 2*t(p). Let d be x(-6). Solve -n + 0*n + d = 0 for n.
5
Suppose -2*q - 2*q = -120. Solve h + 5*h + q = 0 for h.
-5
Suppose 63 = -b - 0*b + 3*p, -2*p - 8 = 0. Let h = b - -76. Solve g + 3 = -h for g.
-4
Let u be 3/2 + (-98)/(-196). Solve u*t + 164 = 166 for t.
1
Let c(f) = -f**2 + f + 2. Let o be c(2). Let b = 2197 - 2195. Solve o = -5*r + 3 + b for r.
1
Suppose 2*v = 3*j - 44 + 1, 3*v = 4*j - 59. Solve -1 - j = 3*f for f.
-4
Let t be (1 - (0 - 0))/((-1)/(-4)). Suppose g + t*g - 100 = 0. Solve 5*x - g = x for x.
5
Suppose -4*z + 2*g - 16 = -3*g, 0 = 3*z - g + 1. Solve -3*v = 2 + z for v.
-1
Let p(o) = -o**2 - 8*o + 14. Let a be p(-9). Suppose 2*i + i - d = 31, -a*d + 25 = 0. Let g = 0 - -5. Solve -r + g*r - i = 0 for r.
3
Let q = -16 + 6. Let z be q*5/((-100)/8). Solve -15 = -z*i - i for i.
3
Suppose 0 = 3*c - 41 + 5. Suppose m = -25 + 30. Suppose -o - 24 = -4*d + 3*o, -12 = d + m*o. Solve -d*t + c = t for t.
3
Let r(w) = -w**3 + 59*w + 7. Let j be r(7). Solve j - 68 = -3*s for s.
-3
Let k be (23/7 - 0) + 20/(-70). Solve -k*m - 1 = -16 for m.
5
Let b(t) = -t**2 + 2*t - 3. Let j be b(3). Let c be (2 + (-20)/15)/(j/(-27)). Solve -v = c*v for v.
0
Suppose 236 = 5*v - 169. Suppose 3*j - 33 = -4*h - 144, 4*h + v = 3*j. Let u be (6/(-5))/(h/60). Solve 0*k = -u*k for k.
0
Suppose -s - 4*d - 17 = 0, 3*s + 59 = d + 8. Suppose 3*u + 105 = -2*u. Let p = s - u. Solve -o - p = o for o.
-2
Let c be (-3)/2*12/9. Let y(n) = -n. Let m be y(c). Suppose -3*s + i = -6*s + 34, -5*i - 30 = -5*s. Solve 0 = -m*w + s for w.
5
Let z be 8 - -6*14/21. Solve -22 = z*s + 38 for s.
-5
Let d be 0*(4/(-14) - (-85)/175). Solve w + 49 - 47 = d for w.
-2
Let b be 26/8 + (-18)/(-24). Let w be 4/(0 - 8)*b. Let u be 9*w*(-4)/6. Solve 0*c - 4*c = u for c.
-3
Let a be (-2 + -2 - -3)/((-3)/9). Solve -a = -13*r + 14*r for r.
-3
Let v(l) = -8*l +
|
{
"pile_set_name": "DM Mathematics"
}
|
12014 = y*f - 17*f. Is f composite?
False
Suppose -3*p + 27880 = -p + r, -5*p = 4*r - 69703. Is p composite?
True
Suppose 5*g + 2*x - 91977 = 0, g + 5*x = 14919 + 3458. Is g a composite number?
False
Let m = 31840 + -12251. Is m composite?
True
Let z(v) = -v**3 + v + 2. Let u be z(0). Suppose 0 = -3*t - 3*o + 33, -o - 5 = -u*t + 26. Is t/(-63) + (-3874)/(-18) a prime number?
False
Suppose 0 = 5*p - 15, -5 + 17 = -5*x + 4*p. Suppose x = -10*o - 38754 + 106444. Is o prime?
False
Let h = 142 + -142. Let g = 11 + -7. Suppose j + g*j - 1675 = h. Is j composite?
True
Let r(y) = -1463*y + 7. Let u be r(-3). Suppose a = 5*a - u. Is a a composite number?
True
Let a be (6/4*12)/2. Is 3679/a + 8/36 composite?
False
Suppose y = 2*q + 546, 368 = -q + y + 94. Let j = q + 1543. Is j composite?
True
Let j be 8 + 4 + 3 + 1. Suppose -5*g + 0*f = 2*f, 2*g = -4*f + j. Is (1036/(-5 + 3))/g a composite number?
True
Let d = 102968 - 65979. Is d composite?
True
Let u(i) = -i**2 + 4*i + 11. Let c(t) = t**3 - 9*t**2 + 7*t + 14. Let k be c(8). Let b be u(k). Let x(q) = -249*q + 2. Is x(b) composite?
False
Suppose -4 = -0*v + 4*v. Let c = 4 + v. Suppose 618 = c*l + 5*o, -3*l = 2*l - o - 1058. Is l a composite number?
False
Let w(b) = 16608*b + 11. Is w(1) a prime number?
True
Suppose -4*j - 22 = -2*r + 4*r, 5*r - 4*j = 1. Let g be (1 + r/4)*12. Suppose -2*u = -g*h + 1397, u - 506 = -5*h + 1831. Is h a prime number?
True
Let p be (-21)/(-1)*(-4)/6. Let q = -11 - p. Suppose 0 = -q*k + 6*k - 186. Is k a prime number?
False
Suppose 2*v + h = 17879, 2*h = -8*v + 7*v + 8941. Is v composite?
True
Suppose 6*u = -3*q + 3*u + 83454, 4*u - 27827 = -q. Is q composite?
True
Let w = -6969 - -11925. Let c be w/36 - (-1)/3. Suppose -5*i + 4*a = 2*a - c, -i = 2*a - 18. Is i prime?
False
Let x be (-139)/(-3 - 366/(-123)). Suppose 2*o - 4 = 0, 2*a = 5*a - 2*o - x. Is a composite?
False
Is (4561/3)/((-12)/(-36)) a composite number?
False
Let j = -3 + 11. Let y = j + -41. Is (-5)/(5/2) - y a composite number?
False
Let u be 108/(-10)*55/(-22). Let q = u - 21. Suppose 1016 = q*p + 2*p. Is p composite?
False
Let c be 463/((-1)/((-3)/3)). Suppose 0 = 3*l - c - 263. Suppose 4*j - 6*j = -l. Is j prime?
False
Suppose 6*o = 785172 + 40626. Is o composite?
False
Suppose d - 2*o - o = 2519, 3*o = -3*d + 7605. Is d prime?
True
Let o = -49 - -51. Suppose 3*h - 139 = -2*a, 40 = 2*a + o*h - 104. Is a prime?
False
Let z = -1 - -3. Suppose 706 - 2088 = -z*l. Is l a composite number?
False
Let v be (9/(-2))/(21/(-19768)). Let o = v + -2855. Is o composite?
False
Suppose -2*p + 4*p + 34 = 0. Is 0/p + 1764 + -1 composite?
True
Let y = -51900 + 125809. Is y a prime number?
False
Let r = 5 + -1. Suppose r*z = 3*z. Suppose -3*c + 5*a - 135 = -694, z = 3*c + 3*a - 519. Is c composite?
True
Let r(f) be the second derivative of -f**3/6 + 9*f**2/2 + 6*f. Suppose p = 2*p. Is r(p) prime?
False
Let n be (35/1)/(-6 - (-938)/156). Suppose -n = -12*x + 714. Is x a composite number?
True
Let v(x) = -11*x + 18. Let z be v(6). Let o be (z/10)/((-21)/70). Is 1608/o*2/3 a prime number?
True
Let t(c) be the second derivative of 0 - 5*c**2 - 13/6*c**3 - 4*c + 5/6*c**4. Is t(8) a prime number?
False
Let z(i) be the third derivative of 0*i + 3*i**2 + 7/12*i**4 - 3/2*i**3 + 0. Is z(11) a prime number?
False
Let i(m) = m**3 + 3*m**2 - 6*m - 2. Let k be i(-4). Is ((-3)/k)/((-6405)/6402 + 1) a composite number?
True
Let s be (-5)/5 + 5 - -1. Suppose v + 4*i - 8691 = 0, s*v + 2*i - 69052 + 25525 = 0. Is v prime?
True
Suppose -29*v - 12345 = -26*v. Let q = v + 8308. Is q a composite number?
True
Suppose -5*o = -d + 133 + 913, -3*d + o = -3096. Is d composite?
False
Let s(d) = 10*d**2 + 23*d + 6. Let y(x) = 31*x**2 + 70*x + 17. Let o(p) = 7*s(p) - 2*y(p). Is o(7) a prime number?
True
Suppose 26*b = 5*x + 23*b - 74012, x = -b + 14804. Is x a composite number?
True
Let o(f) = 3*f**3 - 2*f**2 - 69*f - 33. Is o(20) a composite number?
False
Let y be (-4 - (-7 + 4))/(-1). Is 7/((1/433)/y) a prime number?
False
Let j(c) = -747*c + 110. Is j(-19) a composite number?
False
Suppose -2545 = 5*o - 210. Let s = -262 - o. Is s a prime number?
False
Let g(u) = 188*u**2 + u. Suppose -4*q - 33 = 7. Let z = q - -9. Is g(z) composite?
True
Let g = -71 + 74. Is 5587/g + (80/15)/(-4) composite?
False
Let n(o) = o**3 + 31*o**2 + 4*o + 67. Is n(-21) a prime number?
False
Suppose -233*c = -238*c + 19895. Is c prime?
False
Let f(t) = t - 2. Let j be f(2). Suppose -12 = -5*b + 4*b + 2*u, 3*b - 2*u - 16 = j. Suppose -3*l = -3*k + b*l + 337, 3*l - 12 = 0. Is k prime?
False
Let i(m) = m**3 + 8*m**2 + 8*m + 4. Suppose -3*w + 1 = -4*l, 2*l - l = 3*w + 11. Let o be i(w). Suppose -607 = -2*v + o. Is v composite?
True
Suppose 2*b + 2*o = -2*o + 30, 4*b - 20 = 2*o. Suppose 2*w = b*w + 15. Is (w - -617)/(3 + -1) a composite number?
False
Suppose -468575 = -26*l + l. Is l composite?
False
Let m = -3590 - -6525. Is m prime?
False
Suppose 0 = 18*c - 14*c - 134764. Is c a composite number?
True
Suppose -5*g - 34017 = -4*i + 174561, -3*i - 3*g + 156447 = 0. Is i prime?
True
Suppose 0 = -5*s + 9*s - 20. Suppose s*o - 1117 = 4*o. Is o prime?
True
Let x = 122 + 249. Is x a composite number?
True
Suppose q = r + 1480, -q + 2*q - 2*r - 1479 = 0. Let z = -952 + q. Is z a composite number?
True
Suppose 0 = -4*b + p + 117936, -6*p + 5*p - 58970 = -2*b. Is b composite?
False
Suppose 3*n - 4*n = 5*c - 19, 2*n + 3*c = 38. Let b = -22 + n. Is (201*(b - -2))/(-1) a prime number?
False
Suppose -306 = x + j, 0*x - 5*j + 605 = -2*x. Let z = -164 - x. Is z prime?
False
Is (-9)/(-18) + (34689/6 - 3) a prime number?
True
Is (1*(-2396)/8)/((-17)/1462) composite?
True
Suppose 3*p + 3873 = -p + 3*g, 3*g + 957 = -p. Let b = p - -1385. Is b a composite number?
False
Suppose -2*q = 3*q - 40. Let f(v) = 48*v**3 + 18*v - 49*v**3 + 3*v**2 - 5 + 3*v**2. Is f(q) prime?
True
Suppose 0 = -2*g - m + 25578, 0 = 15*g - 11*g + 4*m - 51148. Is g prime?
True
Let r = 5356 + 607. Is r a prime number?
False
Let j be 2/(33/15 - 2). Is (1868/(-10))/((-4)/j) prime?
True
Let o = 14151 - 9568. Is o a prime number?
True
Let m(g) = -11*g**3 + 3*g**2 - 8*g - 11. Suppose 11 = 2*h + 17. Is m(h) a prime number?
True
Suppose 671 = -r - l + 3364, -2*l - 4 = 0. Suppose 4*s - 2793 - r = 2*z, -4*z = -5*s + 6854. Suppose -3*j + s = -j - d, 1350 = 2*j + 5*d. Is j a prime number?
False
Let w be -2 - (106/(-34) + (-2)/(-17)). Suppose w + 0 = -x, 3*s - 6162 = 3*x. Is s a prime number?
True
Let d = 20 - 17. Let c = 158 - d. Is c prime?
False
Suppose -3*p - 18 = -0*p. Let w = p + 1. Is (w + -6)/(1/(-5)) a prime number?
False
Suppose -x + 5 = 0, 0 = -5*y - x + 5*x - 10. Suppose 199 + 27 = i + 3*k, 0 = -3*i - y*k + 643. Is i prime?
True
Suppose 96*g = 106*g - 159370. Is g composite?
False
Suppose -r = 2 + 2. Let c be r*(-2 + 4/8). Suppose 4*s + u - 136 = -49, c = 2*u. Is s a prime number?
False
Let j(i) = 2*i**2 + 3*i - 8. Is j(-9) composite?
False
Let m(w) = -3*w**3 - 16*w**2 + 10*w - 19. Is m(-8) a prime number?
False
Suppose 2*j + 4088 = 5*j - 5*x, 5443 = 4*j + x. Is j a composite number?
False
Let j = 25578 + 39359. Is j a prime number?
True
Suppose h + 443 = 5790. Is h composite?
False
Let a = 20 - 16. Suppose a*g - 5*g = 2. Is g*(-1)/((-8)/(-1628)) composite?
True
Let s = -1621 + 2451. Suppose 0 = 12*r - 334 - s. Is r a composite number?
False
Let b be 4/(-20) + 80/25. Suppose -155 + 488 = b*s. Is s a prime number?
False
Let j(w) = -75*w + 2. Suppose 3*u + 18 - 9 = 0. Let m be j(u). Suppose -5*i + 488 = -m. Is i prime?
False
Let f = -20 + 22. Suppose 103 + 189 = c + 3*h, f*h - 604 = -2*c. Is c composite?
False
Let p = -1512 + 3118. Suppose 5*d - 836 = 3*x, 3*d - 341 = d - x. Suppose -p = -3*r - d. Is r prime?
True
Let y(q) = -5643*q - 356. Is y(-3) a prime number?
True
Suppose 2*x + 3*i - 976 = 0, 0*x - i - 1966 = -4*x. Is x prime?
True
Let l = -208 + 310. Suppose y - l + 13 = 0. Is y composite?
False
Suppose 0*i - 2*i + k = -7, -i - k + 2 = 0. Let n(r) = 6*r + 8. Is n(i) a composite number?
True
Let s(d) = 1842*d**3 - 4*d**2 + d. Let y be s(1). Let z = -3308 + 2260. Let v = y + z. Is v composite?
True
Let i(r) = 5*r**2. Let f be i(1). Suppose f*d + 24 = 2*c, -c - 14 = -6*c + d. Suppose 4*w - 119 = 3*t + 323, c*w - t = 220. Is w p
|
{
"pile_set_name": "DM Mathematics"
}
|
of 1/4, to the nearest integer?
5
What is 3325 to the power of 1/2, to the nearest integer?
58
What is the sixth root of 11609 to the nearest integer?
5
What is 31936 to the power of 1/8, to the nearest integer?
4
What is the square root of 34263 to the nearest integer?
185
What is 9930 to the power of 1/2, to the nearest integer?
100
What is the square root of 2482 to the nearest integer?
50
What is 77995 to the power of 1/2, to the nearest integer?
279
What is the eighth root of 23815 to the nearest integer?
4
What is 118502 to the power of 1/2, to the nearest integer?
344
What is the third root of 1671 to the nearest integer?
12
What is 8605 to the power of 1/2, to the nearest integer?
93
What is the cube root of 12159 to the nearest integer?
23
What is 60929 to the power of 1/2, to the nearest integer?
247
What is 76210 to the power of 1/3, to the nearest integer?
42
What is the cube root of 5242 to the nearest integer?
17
What is the third root of 9918 to the nearest integer?
21
What is the seventh root of 29676 to the nearest integer?
4
What is the fourth root of 4577 to the nearest integer?
8
What is 30521 to the power of 1/2, to the nearest integer?
175
What is 3202 to the power of 1/2, to the nearest integer?
57
What is the square root of 32081 to the nearest integer?
179
What is 9659 to the power of 1/2, to the nearest integer?
98
What is 942 to the power of 1/2, to the nearest integer?
31
What is the cube root of 1545 to the nearest integer?
12
What is 68712 to the power of 1/2, to the nearest integer?
262
What is the seventh root of 41489 to the nearest integer?
5
What is the fourth root of 2229 to the nearest integer?
7
What is the square root of 17021 to the nearest integer?
130
What is the square root of 2905 to the nearest integer?
54
What is 6550 to the power of 1/2, to the nearest integer?
81
What is the square root of 1132 to the nearest integer?
34
What is 866 to the power of 1/2, to the nearest integer?
29
What is the third root of 11648 to the nearest integer?
23
What is 58 to the power of 1/6, to the nearest integer?
2
What is 106267 to the power of 1/4, to the nearest integer?
18
What is 10697 to the power of 1/3, to the nearest integer?
22
What is 72130 to the power of 1/5, to the nearest integer?
9
What is 1057 to the power of 1/2, to the nearest integer?
33
What is 676 to the power of 1/2, to the nearest integer?
26
What is the third root of 12897 to the nearest integer?
23
What is the tenth root of 20309 to the nearest integer?
3
What is the square root of 41142 to the nearest integer?
203
What is 9407 to the power of 1/8, to the nearest integer?
3
What is 577 to the power of 1/8, to the nearest integer?
2
What is the third root of 779 to the nearest integer?
9
What is 225 to the power of 1/2, to the nearest integer?
15
What is the square root of 21990 to the nearest integer?
148
What is 10028 to the power of 1/3, to the nearest integer?
22
What is the third root of 2762 to the nearest integer?
14
What is 7 to the power of 1/10, to the nearest integer?
1
What is 11752 to the power of 1/2, to the nearest integer?
108
What is the eighth root of 4065 to the nearest integer?
3
What is the sixth root of 1066 to the nearest integer?
3
What is the third root of 60000 to the nearest integer?
39
What is the cube root of 5525 to the nearest integer?
18
What is the seventh root of 35861 to the nearest integer?
4
What is the tenth root of 291 to the nearest integer?
2
What is 3707 to the power of 1/2, to the nearest integer?
61
What is 1148 to the power of 1/2, to the nearest integer?
34
What is 1116 to the power of 1/2, to the nearest integer?
33
What is the third root of 107 to the nearest integer?
5
What is the tenth root of 15260 to the nearest integer?
3
What is 51860 to the power of 1/6, to the nearest integer?
6
What is 2179 to the power of 1/6, to the nearest integer?
4
What is 59262 to the power of 1/9, to the nearest integer?
3
What is the eighth root of 183 to the nearest integer?
2
What is the sixth root of 137 to the nearest integer?
2
What is 1387 to the power of 1/2, to the nearest integer?
37
What is the third root of 224 to the nearest integer?
6
What is 6072 to the power of 1/4, to the nearest integer?
9
What is 5862 to the power of 1/3, to the nearest integer?
18
What is the square root of 533 to the nearest integer?
23
What is 35361 to the power of 1/2, to the nearest integer?
188
What is 598 to the power of 1/5, to the nearest integer?
4
What is 4624 to the power of 1/3, to the nearest integer?
17
What is 5523 to the power of 1/8, to the nearest integer?
3
What is 137865 to the power of 1/2, to the nearest integer?
371
What is the tenth root of 119313 to the nearest integer?
3
What is the sixth root of 1662 to the nearest integer?
3
What is 34728 to the power of 1/2, to the nearest integer?
186
What is the square root of 722 to the nearest integer?
27
What is 3343 to the power of 1/9, to the nearest integer?
2
What is 112 to the power of 1/2, to the nearest integer?
11
What is the square root of 1352 to the nearest integer?
37
What is 178 to the power of 1/7, to the nearest integer?
2
What is the fourth root of 709 to the nearest integer?
5
What is 234 to the power of 1/2, to the nearest integer?
15
What is the third root of 28850 to the nearest integer?
31
What is the third root of 7980 to the nearest integer?
20
What is the seventh root of 692 to the nearest integer?
3
What is the fifth root of 22882 to the nearest integer?
7
What is the cube root of 27403 to the nearest integer?
30
What is 9347 to the power of 1/3, to the nearest integer?
21
What is 1575 to the power of 1/8, to the nearest integer?
3
What is 1557 to the power of 1/2, to the nearest integer?
39
What is the square root of 911 to the nearest integer?
30
What is the fourth root of 167909 to the nearest integer?
20
What is the square root of 3764 to the nearest integer?
61
What is the seventh root of 474 to the nearest integer?
2
What is the square root of 7045 to the nearest integer?
84
What is the square root of 43472 to the nearest integer?
208
What is the square root of 1097 to the nearest integer?
33
What is the square root of 1469 to the nearest integer?
38
What is the cube root of 1390 to the nearest integer?
11
What is the eighth root of 1404 to the nearest integer?
2
What is 77694 to the power of 1/2, to the nearest integer?
279
What is 6502 to the power of 1/2, to the nearest integer?
81
What is the third root of 51943 to the nearest integer?
37
What is the cube root of 42053 to the nearest integer?
35
What is the square root of 18714 to the nearest integer?
137
What is the cube root of 5008 to the nearest integer?
17
What is the third root of 1261 to the nearest integer?
11
What is the eighth root of 75734 to the nearest integer?
4
What is the fourth root of 8550 to the nearest integer?
10
What is the fifth root of 5013 to the nearest integer?
5
What is the square root of 12699 to the nearest integer?
113
What is 16713 to the power of 1/2, to the nearest integer?
129
What is the cube root of 12750 to the nearest integer?
23
What is the cube root of 12966 to the nearest integer?
23
What is 1606 to the power of 1/2, to the nearest integer?
40
What is 7664 to the power of 1/9, to the nearest integer?
3
What is 996 to the power of 1/8, to the nearest integer?
2
What is 19641 to the power of 1/2, to the nearest integer?
140
What is 124698 to the power of 1/3, to the nearest integer?
50
What is 821 to the power of 1/4, to the nearest integer?
5
What is the fifth root of 8932 to the nearest integer?
6
What is the third root of 8648 to the nearest integer?
21
What is the cube root of 2353 to the nearest integer?
13
What is the cube root of 49143 to the nearest integer?
37
What is the cube root of 1488 to the nearest integer?
11
What is the fourth root of 2563 to the nearest integer?
7
What is 941 to the power of 1/3, to the nearest integer?
10
What is the ninth root of 4162 to the nearest integer?
3
What is 3814 to the power of 1/3, to the nearest integer?
16
What is the seventh root of 16293 to the nearest integer?
4
What is 1042 to the power of 1/7, to the nearest integer?
3
What is the ninth root of 1083 to the nearest integer?
2
|
{
"pile_set_name": "DM Mathematics"
}
|
*z**2 - 3612370*z - 652460850845.
-5*(z + 361237)**2
Determine c so that 4*c**2 - 2452060*c + 14712216 = 0.
6, 613009
Suppose 3*l**5 + 89*l**4/2 - 2347*l**3/2 - 5042*l**2 + 1398*l + 12960 = 0. What is l?
-27, -10/3, -2, 3/2, 16
Solve 3*h**5/2 + 2198*h**4 - 21355*h**3 + 47950*h**2 + 36875*h/2 = 0 for h.
-1475, -1/3, 0, 5
Factor 2*y**2 - 194122*y + 970560.
2*(y - 97056)*(y - 5)
Suppose 2*r**4/9 + 6155128*r**3/3 - 2051710*r**2 - 36930772*r/9 = 0. What is r?
-9232693, -1, 0, 2
Suppose -6*g**3 + 79292*g**2 - 9064736*g - 6078400 = 0. What is g?
-2/3, 116, 13100
Solve -2*w**2/5 + 112404*w/5 - 10212202/5 = 0.
91, 56111
Factor x**2/3 + 3750950*x/3 + 3517406475625/3.
(x + 1875475)**2/3
What is z in -5*z**3/2 + 93450*z**2 + 5236745*z/2 + 7014000 = 0?
-25, -3, 37408
Suppose 4*k**2 + 270064*k + 2430252 = 0. What is k?
-67507, -9
Let -2*p**4/7 - 22580*p**3/7 - 675816*p**2/7 - 2432368*p/7 - 2342080/7 = 0. Calculate p.
-11260, -26, -2
Solve -3*y**4 - 89274*y**3 - 1159968*y**2 + 2587770*y - 1338525 = 0 for y.
-29745, -15, 1
Determine y, given that -y**5/2 - 227*y**4/2 + 3943*y**3/2 + 13403*y**2/2 + 4617*y = 0.
-243, -2, -1, 0, 19
Find n such that -3*n**4/4 + 5655*n**3/4 + 843183*n**2/4 + 1669389*n/4 + 207966 = 0.
-137, -1, 2024
Suppose -3*u**4 + 6909*u**3 - 454623*u**2 - 2942385*u - 2480850 = 0. Calculate u.
-5, -1, 74, 2235
Factor -t**2/6 - 30031934*t/3 - 450958529890178/3.
-(t + 30031934)**2/6
Determine n so that -768*n**5 - 197703840*n**4 - 12723261509091*n**3 + 39762048027879*n**2 - 4821155089605*n + 149107961025 = 0.
-128715, 1/16, 3
Find n, given that n**3 + 5459788*n**2 - n - 5459788 = 0.
-5459788, -1, 1
Suppose 2*d**3/13 - 2353040*d**2/13 + 692111420250*d/13 - 6920878900500/13 = 0. What is d?
10, 588255
Solve 16*g**4/5 - 18296*g**3/5 + 2225969*g**2/5 + 1116416*g/5 + 27939 = 0.
-1/4, 139, 1005
Suppose -15*w**4/2 - 386*w**3/3 + 781*w**2/6 + 880*w/3 + 42 = 0. What is w?
-18, -1, -7/45, 2
Let -2*m**3/17 + 59818*m**2/17 - 119622*m/17 - 179442/17 = 0. Calculate m.
-1, 3, 29907
Determine b so that b**2 + 7105*b - 106800 = 0.
-7120, 15
Find n, given that -n**2/2 + 36748*n + 147000 = 0.
-4, 73500
Let -3*b**3 + 6213291*b**2 - 186396705*b + 1397970225 = 0. What is b?
15, 2071067
Let -5*q**4 + 70735*q**3 + 921440*q**2 - 14725300*q - 15576000 = 0. Calculate q.
-22, -1, 10, 14160
Factor v**3/4 - 1508*v**2 + 127795*v + 261624.
(v - 5946)*(v - 88)*(v + 2)/4
Solve 3*c**2/2 - 10489041*c + 20978079/2 = 0 for c.
1, 6992693
Solve 51*p**5 + 1532*p**4/3 - 94075*p**3/3 + 141370*p**2 - 327368*p/3 - 4352/3 = 0 for p.
-32, -2/153, 1, 4, 17
Determine p so that 7*p**5 - 117042*p**4 + 492059513*p**3 - 23522341982*p**2 + 146283695808*p - 39886626304 = 0.
2/7, 7, 41, 8336
Solve 5*i**2/3 - 268435750*i/3 + 3602887593903125/3 = 0 for i.
26843575
Factor 2*p**2 - 94710*p - 1705428.
2*(p - 47373)*(p + 18)
Suppose -6*w**5 - 5091*w**4 - 37872*w**3 - 22494*w**2 + 178998*w - 113535 = 0. What is w?
-841, -5, -9/2, 1
Factor 2*f**3/3 + 210*f**2 - 110484*f.
2*f*(f - 279)*(f + 594)/3
Factor 3*u**2 + 21645*u - 1640250.
3*(u - 75)*(u + 7290)
Find l, given that l**4 - 199*l**3/3 - 504*l**2 + 1212*l + 11680/3 = 0.
-8, -2, 10/3, 73
Find v such that v**5 - 145*v**4 - 8704*v**3 + 28780*v**2 + 91200*v = 0.
-48, -2, 0, 5, 190
Factor n**2 + 730*n + 78469.
(n + 131)*(n + 599)
What is o in -o**2/2 - 72278420*o - 2612084998848200 = 0?
-72278420
What is o in o**4/2 + 18964*o**3 + 2498757*o**2/2 - 2555651*o + 1287308 = 0?
-37862, -68, 1
Factor 4*b**3 + 21276*b**2 + 11835032*b + 11813760.
4*(b + 1)*(b + 630)*(b + 4688)
Factor -2*o**3/11 + 1856966*o**2/11 - 59421376*o/11 + 475366912/11.
-2*(o - 928451)*(o - 16)**2/11
Find g such that -g**4/6 + 115*g**3/2 + 3508*g**2 + 9310*g/3 - 20696 = 0.
-52, -3, 2, 398
Suppose 2*k**4/5 + 4182*k**3/5 - 320582*k**2/5 - 69966*k + 389700 = 0. Calculate k.
-2165, -3, 2, 75
Suppose s**2/4 - 29017494*s - 116069977/4 = 0. Calculate s.
-1, 116069977
Find h such that -2*h**4/15 - 81946*h**3/15 + 81964*h**2/5 + 491712*h/5 = 0.
-40976, -3, 0, 6
Factor 732*c**2 - 4872200*c + 53248.
4*(c - 6656)*(183*c - 2)
Factor -5*k**2/3 + 242680*k/3 - 1374705.
-5*(k - 48519)*(k - 17)/3
Let 5*o**2/2 + 1278500460*o + 163456342622021160 = 0. What is o?
-255700092
Determine l, given that -5*l**4/4 - 3865*l**3/4 + 175935*l**2/2 - 720440*l + 633440 = 0.
-856, 1, 8, 74
Solve 6*v**2/11 - 560286*v/11 - 144953172/11 = 0 for v.
-258, 93639
What is f in -2*f**2 - 52384*f + 471618 = 0?
-26201, 9
Factor -2*n**4/5 + 162*n**3/5 + 31832*n**2/5.
-2*n**2*(n - 173)*(n + 92)/5
Find d such that -151726*d**2/3 - 354026*d + 28/3 = 0.
-7, 2/75863
Determine p so that -2*p**4 + 3717*p**3 - 20396*p**2 + 24093*p - 7412 = 0.
1/2, 1, 4, 1853
Solve -d**5/5 + 169*d**4/5 - 741*d**3 + 2923*d**2 + 72346*d/5 + 53856/5 = 0.
-2, -1, 11, 17, 144
Factor -605*w**3 + 458370*w**2 + 1085955*w + 642200.
-5*(w - 760)*(11*w + 13)**2
Factor t**3/4 - 98875*t**2/4 - 296639*t/2 - 197762.
(t - 98881)*(t + 2)*(t + 4)/4
Determine h, given that -2*h**3/7 + 2152202*h**2/7 + 6456644*h/7 - 21522080/7 = 0.
-5, 2, 1076104
Determine u, given that 2*u**2/7 - 266972*u/7 + 266970/7 = 0.
1, 133485
What is v in -5*v**5 + 2575*v**4 - 227865*v**3 + 883265*v**2 - 1093210*v + 435240 = 0?
1, 2, 108, 403
Factor 2*p**3 - 98554*p**2 - 394272*p + 1182744.
2*(p - 49281)*(p - 2)*(p + 6)
Let -12*j**3/5 - 1419*j**2/5 + 3680862*j/5 + 920304/5 = 0. Calculate j.
-616, -1/4, 498
Factor -n**3/3 + 39*n**2 - 3479*n/3 + 1121.
-(n - 59)*(n - 57)*(n - 1)/3
Factor -p**2 + 11088118*p - 11088117.
-(p - 11088117)*(p - 1)
Find c such that -440*c**3 + 643950*c**2 + 3392315*c + 807825 = 0.
-5, -1/4, 32313/22
Factor p**2 + 8181153*p + 8181152.
(p + 1)*(p + 8181152)
Factor 5*h**3 - 70645*h**2 - 4968970*h - 9655320.
5*(h - 14199)*(h + 2)*(h + 68)
Find v, given that -v**4/4 + 8757*v**3/4 - 2250903*v**2/4 + 4440527*v/4 + 1675047 = 0.
-1, 3, 263, 8492
Factor -3*p**2 - 108228*p + 17284095.
-3*(p - 159)*(p + 36235)
Factor -3*c**4/5 + 7770*c**3 - 125114691*c**2/5 - 857528280*c - 36540637488/5.
-3*(c - 6492)**2*(c + 17)**2/5
Factor 2*c**3 - 6160*c**2 - 2521016*c - 5017376.
2*(c - 3446)*(c + 2)*(c + 364)
Factor -5*s**4 + 805*s**3 + 3300*s**2.
-5*s**2*(s - 165)*(s + 4)
Factor -529702*v**2/11 + 283920276*v/11 - 2144/11.
-2*(v - 536)*(264851*v - 2)/11
Suppose -3*f**2 + 1704*f + 9837699 = 0. Calculate f.
-1549, 2117
Factor x**5/9 - 5650*x**4/9 - 804388*x**3 - 234076536*x**2.
x**2*(x - 6766)*(x + 558)**2/9
Find z such that -z**3 + 86*z**2 + 157192*z - 630080 = 0.
-358, 4, 440
Suppose 4*q**2 - 52932472*q + 175115412001924 = 0. What is q?
6616559
Determine k, given that 3*k**4/7 + 1257*k**3/7 - 2433*k**2 - 2337801*k/7 + 2353572/7 = 0.
-428, -39, 1, 47
Determine u, given that 4*u**3 - 3627964*u**2 - 116098596*u - 315644004 = 0.
-29, -3, 907023
Solve -3*r**5 + 1173*r**4 - 25788*r**3 + 145728*r**2 = 0 for r.
0, 11, 12, 368
Factor 9*d**3/2 - 4544791*d**2/2 - 504977*d.
d*(d - 504977)*(9*d + 2)/2
Factor 2*y**3/5 + 14486*y**2/5 + 4733750*y - 9493986278/5.
2*(y - 331)*(y + 3787)**2/5
What is f in -5*f**5 + 28120*f**4 - 40809080*f**3 + 3577876320*f**2 - 80944998480*f = 0?
0, 46, 2766
Factor a**3 - 81542*a**2 + 1662519040*a - 9972178944.
(a - 40768)**2*(a - 6)
Factor -9*m**3 - 419007*m**2 + 158783645*m - 14982186925.
-(m + 46933)*(3*m - 565)**2
Let 4*j**5 + 1753844*j**4 + 192243663848*j**3 - 961256904152*j**2 + 576773084244*j + 1730271898404 = 0. Calculate j.
-219233, -1, 3
Let 2*m**4/11 + 1120*m**3 + 49250*m**2/11 + 12300*m/11 - 73872/11 = 0. What is m?
-6156, -3, -2, 1
Suppose 3*g**4/5 - 128073*g**3/5 + 1367083206*g**2/5 - 4100353152*g/5 + 2733398016/5 = 0. What is g?
1, 2, 21344
Factor 2*s**3/5 - 11978*s**2/5 + 4073398*s - 1403663310.
2*(s - 2765)**2*(s - 459)/5
Find p, given that 2*p**3/9 - 454358206*p**2/9 + 8601724064254400*p/3 + 2867241405235712 = 0.
-1, 113589552
Suppose g**2 + 11766324*g + 34611595118244 = 0. Calculate g.
-5883162
Determine j so that 2*j**4/5 + 77464*j**3/5 - 108476*j**2 - 1317144*j/5 - 697302/5 = 0.
-38739, -1, 9
Determine s, given that 5*s**5/3 - 3617*s**4/3 + 37156*s**3/3 - 56704*s**2/3 - 79904*s + 34224 = 0.
-2, 2/5, 6, 713
Determine q, given that -4*q**4 + 1864*q**3 - 5456*q**2 - 46600*q + 138900 = 0.
-5, 3, 5, 463
What is b in -223847405*b**2 + 1693358280*b - 3202474320 = 0?
25308/6691
Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
litre?
17750
How many years are there in 786.4809 millennia?
786480.9
How many millilitres are there in 5/4 of a litre?
1250
How many minutes are there in 51/4 of a hour?
765
What is 423.25317 microseconds in hours?
0.000000117570325
What is 185423.5 years in centuries?
1854.235
What is 9.942582 litres in millilitres?
9942.582
How many milligrams are there in five quarters of a gram?
1250
How many months are there in 5/24 of a millennium?
2500
How many litres are there in 786523.4 millilitres?
786.5234
Convert 7352.634 litres to millilitres.
7352634
Convert 7.353887ug to grams.
0.000007353887
What is three fifths of a tonne in kilograms?
600
Convert 14.29855 millennia to years.
14298.55
What is three fifths of a litre in millilitres?
600
How many grams are there in 7203.516mg?
7.203516
What is thirty-three fifths of a millimeter in micrometers?
6600
Convert 3.378224ml to litres.
0.003378224
What is 11/2 of a kilometer in meters?
5500
What is 170.5997 meters in nanometers?
170599700000
Convert 3.36387 millilitres to litres.
0.00336387
How many nanoseconds are there in one tenth of a millisecond?
100000
What is 0.7817296 centimeters in micrometers?
7817.296
What is 166105.3 tonnes in kilograms?
166105300
Convert 0.1453786 litres to millilitres.
145.3786
How many millilitres are there in 11/4 of a litre?
2750
How many micrograms are there in 3/40 of a milligram?
75
How many millilitres are there in 127.801l?
127801
How many millennia are there in 65.87646 decades?
0.6587646
How many nanograms are there in 389732.4t?
389732400000000000000
How many kilometers are there in 9324.048um?
0.000009324048
What is 3/25 of a meter in millimeters?
120
Convert 0.2708893 minutes to microseconds.
16253358
What is three fifths of a meter in millimeters?
600
What is 68184.27ml in litres?
68.18427
How many millilitres are there in thirteen quarters of a litre?
3250
Convert 242.655 decades to centuries.
24.2655
What is 6/5 of a gram in milligrams?
1200
How many millennia are there in 1.851075 decades?
0.01851075
How many millilitres are there in 2.153499 litres?
2153.499
How many litres are there in 9033.17ml?
9.03317
What is 659.3004 nanograms in micrograms?
0.6593004
How many meters are there in 15/4 of a kilometer?
3750
What is 3/25 of a litre in millilitres?
120
How many years are there in 0.7550463 months?
0.062920525
Convert 49095.06ng to tonnes.
0.00000000004909506
What is 3/25 of a centimeter in micrometers?
1200
How many days are there in 7732.738 weeks?
54129.166
What is thirty-seven halves of a litre in millilitres?
18500
How many millilitres are there in 34/5 of a litre?
6800
Convert 88046.88 nanograms to tonnes.
0.00000000008804688
How many grams are there in 1/10 of a kilogram?
100
How many months are there in seven thirds of a decade?
280
Convert 4.362744 months to decades.
0.0363562
What is seven halves of a meter in centimeters?
350
How many meters are there in 3/40 of a kilometer?
75
How many millilitres are there in 400.4903l?
400490.3
Convert 45.94626 days to seconds.
3969756.864
How many litres are there in 48.0673ml?
0.0480673
What is 0.0283861l in millilitres?
28.3861
How many milligrams are there in 45/4 of a gram?
11250
Convert 232518.6 days to microseconds.
20089607040000000
What is 5.999534 millilitres in litres?
0.005999534
What is twenty-eight thirds of a decade in months?
1120
How many centimeters are there in 7/4 of a meter?
175
How many years are there in 5646.723 centuries?
564672.3
Convert 97.30632cm to millimeters.
973.0632
What is 5294.655l in millilitres?
5294655
How many weeks are there in 26472814.2 milliseconds?
0.0437711875
What is seventy-four fifths of a meter in centimeters?
1480
Convert 34.01442 tonnes to grams.
34014420
How many micrometers are there in 96458.65km?
96458650000000
What is 3/8 of a milligram in micrograms?
375
What is 9041.948nm in kilometers?
0.000000009041948
How many nanometers are there in 7.832191km?
7832191000000
What is 41.79752 millennia in decades?
4179.752
Convert 7.585573ml to litres.
0.007585573
What is three fifths of a hour in minutes?
36
What is 7599.865 micrometers in kilometers?
0.000007599865
What is 21/8 of a litre in millilitres?
2625
What is 15186.696 months in centuries?
12.65558
How many seconds are there in fifty-two fifths of a hour?
37440
How many micrograms are there in 6.285757ng?
0.006285757
How many years are there in 91.81617 decades?
918.1617
What is 1/80 of a century in months?
15
What is 9.04412 kilograms in micrograms?
9044120000
How many grams are there in 3/10 of a kilogram?
300
How many kilograms are there in 3/25 of a tonne?
120
What is 0.4814895g in milligrams?
481.4895
Convert 384.1516 years to millennia.
0.3841516
How many grams are there in 3/10 of a kilogram?
300
What is 66.44823 litres in millilitres?
66448.23
What is fourty-nine quarters of a litre in millilitres?
12250
How many millimeters are there in one fifth of a centimeter?
2
Convert 2.311365 days to minutes.
3328.3656
What is 19/4 of a centimeter in micrometers?
47500
What is 0.1362075 millilitres in litres?
0.0001362075
What is 6465.602 milligrams in nanograms?
6465602000
Convert 879.8489 years to months.
10558.1868
What is 5/6 of a week in minutes?
8400
How many tonnes are there in 396847.3 kilograms?
396.8473
How many milliseconds are there in 5/8 of a second?
625
How many kilograms are there in eleven quarters of a tonne?
2750
How many weeks are there in 90896.904 seconds?
0.1502925
How many months are there in twenty-seven quarters of a millennium?
81000
How many months are there in 216.9702 decades?
26036.424
What is thirty-two fifths of a litre in millilitres?
6400
What is 6/5 of a litre in millilitres?
1200
What is 0.8786343us in nanoseconds?
878.6343
How many seconds are there in five quarters of a hour?
4500
How many months are there in 6/25 of a century?
288
What is 1/20 of a gram in micrograms?
50000
What is 86803.08ml in litres?
86.80308
How many milligrams are there in 11/2 of a gram?
5500
What is 6.186291 minutes in seconds?
371.17746
What is six fifths of a tonne in kilograms?
1200
What is thirteen fifths of a hour in seconds?
9360
What is 3/40 of a centimeter in micrometers?
750
How many millimeters are there in fifty-four fifths of a meter?
10800
What is 35.31637 microseconds in nanoseconds?
35316.37
How many centimeters are there in five quarters of a meter?
125
What is 1/20 of a week in minutes?
504
What is twenty-five eighths of a microsecond in nanoseconds?
3125
What is 6/25 of a litre in millilitres?
240
How many micrograms are there in 26/5 of a milligram?
5200
How many centuries are there in 20564.6 decades?
2056.46
How many millilitres are there in fifty-three quarters of a litre?
13250
What is 3750.51um in meters?
0.00375051
What is 124.9375 nanometers in kilometers?
0.0000000001249375
What is 759619.4 litres in millilitres?
759619400
Convert 30.74908 milliseconds to microseconds.
30749.08
How many milliseconds are there in six fifths of a second?
1200
How many kilograms are there in one fifth of a tonne?
200
How many meters are there in 0.3139214 millimeters?
0.0003139214
How many millennia are there in 7431.268 years?
7.431268
How many centimeters are there in 7.643411 nanometers?
0.0000007643411
How many seconds are there in 232.605 hours?
837378
How many litres are there in 52.58972ml?
0.05258972
What is 8873.112 millilitres in litres?
8.873112
What is 3/25 of a millimeter in micrometers?
120
What is 8/25 of a centimeter in micrometers?
3200
How many millilitres are there in 538357.5l?
538357500
What is seven quarters of a litre in millilitres?
1750
How many months are there in 564157.2 decades?
67698864
Convert 821.8763l to millilitres.
821876.3
How many millilitres are there in 6.796439 litres?
6796.439
Convert 242251.56 months to centuries.
201.8763
How many years are there in 39.69797 decades?
396.9797
How many milligrams are there in 64425.29g?
64425290
Convert 607446.5 millennia to centuries.
6074465
How many decades are there in 27/2 of a century?
135
What is eleven eighths of a microgram in nanograms?
1375
How many years are there in 11/4 of a century?
275
How many seconds are there in 7/6 of a hour?
4200
What is 742.7612mg in tonnes?
0.0000007427612
How many
|
{
"pile_set_name": "DM Mathematics"
}
|
is -64 - 137?
-19b
In base 7, what is -62423 + 13?
-62410
In base 4, what is 1 + 21301030?
21301031
In base 7, what is 1246 + 65?
1344
In base 4, what is 101 - -2221?
2322
In base 9, what is 4721282 + 5?
4721287
In base 11, what is -1080 + -730?
-1800
In base 9, what is 5405 + -2487?
2807
In base 4, what is -21 + -1111312?
-1111333
In base 7, what is -225445 - -1?
-225444
In base 11, what is 3 - 6613?
-6610
In base 3, what is -100102 - -21111001?
21010122
In base 15, what is -334e - 16?
-3365
In base 11, what is 17083 - 59?
17025
In base 14, what is 4 + -3301?
-32db
In base 13, what is -120 + -a8b?
-bab
In base 5, what is 2123113 + 2?
2123120
In base 7, what is -44 + 2025?
1651
In base 7, what is -16 + -641215?
-641234
In base 9, what is 7 - 642364?
-642356
In base 13, what is 5c042 - -5?
5c047
In base 13, what is -1337 + c3?
-1244
In base 2, what is 110101111000 + 110001?
110110101001
In base 13, what is 7 - 21877?
-21870
In base 13, what is -31a7c + 5?
-31a77
In base 9, what is -120505 - 6?
-120512
In base 10, what is -7 - 8476?
-8483
In base 6, what is 12 + -33015?
-33003
In base 6, what is -225 - -215?
-10
In base 5, what is 232143 - -204?
232402
In base 16, what is 26a61 - 1?
26a60
In base 13, what is -2466 + -29a?
-2733
In base 2, what is -100111111000111 + -1000000?
-101000000000111
In base 7, what is -21523 - -5?
-21515
In base 8, what is 252 - 23664?
-23412
In base 6, what is 15 + -13555?
-13540
In base 9, what is 84088 + -10?
84078
In base 11, what is -2523 - -13?
-2510
In base 11, what is 8 + -609997?
-60998a
In base 2, what is 100000010011100100 + 10?
100000010011100110
In base 5, what is 3 + -3243422?
-3243414
In base 10, what is -1347 - -24?
-1323
In base 13, what is 4b2 + -22?
490
In base 4, what is 1032 + 233030?
300122
In base 10, what is -2762 - 22?
-2784
In base 2, what is -100 - -1000001011010?
1000001010110
In base 14, what is 17 + -cc3?
-caa
In base 7, what is -1 + 1226521?
1226520
In base 15, what is -15b04 - 1?
-15b05
In base 5, what is -33040233 - 0?
-33040233
In base 6, what is 12234430 + 23?
12234453
In base 13, what is 1 + 356?
357
In base 10, what is 513722 + 5?
513727
In base 10, what is -47 + -1070?
-1117
In base 13, what is -143 - 452?
-595
In base 9, what is -41 - 7156?
-7207
In base 15, what is 94a5c - 5?
94a57
In base 16, what is d7 + 2b0d?
2be4
In base 8, what is -6 + 4272540?
4272532
In base 4, what is -11010 - 1000?
-12010
In base 6, what is -2 + 312120?
312114
In base 11, what is -44914a1 + 4?
-4491498
In base 12, what is 4b - 37297?
-37248
In base 4, what is -3300 + -13013?
-22313
In base 3, what is 100 - -12221?
20021
In base 16, what is -11 + 4574?
4563
In base 16, what is 2104f + 2?
21051
In base 11, what is -28824 + -4?
-28828
In base 5, what is -2131 - 2122?
-4303
In base 7, what is 5552 + 4?
5556
In base 9, what is -8302553 + 4?
-8302548
In base 2, what is 1100011 + -1010010011100111?
-1010010010000100
In base 12, what is -1 - 1467?
-1468
In base 9, what is 12 - 24100?
-24077
In base 16, what is -4 + -8e17?
-8e1b
In base 13, what is 2a - -10a77?
10aa4
In base 14, what is -cc + -1792?
-1880
In base 15, what is -93 - -2b08?
2a65
In base 7, what is -6351444 - 0?
-6351444
In base 5, what is -10 - -3433?
3423
In base 8, what is -5 + -4104?
-4111
In base 2, what is 111101010 - 1011011?
110001111
In base 5, what is 411 - -404023?
404434
In base 10, what is -5267 + -75?
-5342
In base 12, what is -63b51b + -2?
-63b521
In base 2, what is 10011100111110011 + 100?
10011100111110111
In base 13, what is 257 + -1370?
-1116
In base 13, what is 5c51 + 23?
5c74
In base 13, what is a - -1cc8a?
1cc97
In base 16, what is -19cd45 - -4?
-19cd41
In base 14, what is -ad1 + 6?
-ac9
In base 12, what is -40 + a95?
a55
In base 8, what is 2244737 + 1?
2244740
In base 2, what is -100 + -10100001011010010?
-10100001011010110
In base 4, what is 112220221302 - 3?
112220221233
In base 12, what is -7 - 64a4?
-64ab
In base 6, what is 5122 - -220?
5342
In base 16, what is -1c - -26be?
26a2
In base 6, what is 441 + -1313?
-432
In base 8, what is -4 + -14056?
-14062
In base 13, what is 13069 + -5?
13064
In base 16, what is -1 + 98fc?
98fb
In base 13, what is -1c4 + -4c1?
-6b5
In base 11, what is -28a - -670?
391
In base 13, what is -4387 - -4?
-4383
In base 7, what is -10526 + -5?
-10534
In base 3, what is -12 - -1221021?
1221002
In base 7, what is 3 + -1146326?
-1146323
In base 8, what is 165 - 61073?
-60706
In base 10, what is 2936 + 76?
3012
In base 3, what is 111100120020 - -12?
111100120102
In base 10, what is 4430 + 234?
4664
In base 12, what is -139 - -2b2?
175
In base 3, what is -20012022112 - 11?
-20012022200
In base 4, what is -3 - -1112033002?
1112032333
In base 4, what is -102 - -301122?
301020
In base 9, what is -75 + 2446?
2361
In base 4, what is -1131023 + 1002?
-1130021
In base 6, what is -1055000 + 0?
-1055000
In base 14, what is 6b3d + 5?
6b44
In base 14, what is -6a5 + -82?
-747
In base 13, what is 5489 - -10?
5499
In base 15, what is 1e7d - -42?
1ec0
In base 3, what is -20000200100021 - -10?
-20000200100011
In base 14, what is -2 - -4681?
467d
In base 10, what is -168872 - 0?
-168872
In base 15, what is -4 - 3b9e?
-3ba3
In base 3, what is 100 + -12110020?
-12102220
In base 2, what is 110110110011011101 - 1?
110110110011011100
In base 11, what is -3 - 1143a4?
-1143a7
In base 13, what is 0 + 15791?
15791
In base 11, what is 34 - 2a5?
-271
In base 15, what is -416 - 107?
-51d
In base 13, what is 4 - 481b37?
-481b33
In base 3, what is 1201011 + 1122202?
10100220
In base 5, what is 10010124 + -4?
10010120
In base 3, what is -120200 - 212?
-121112
In base 4, what is 331 + -30212320?
-30211323
In base 8, what is 37 - -3073?
3132
In base 11, what is 1246 + -95?
1161
In base 13, what is -1 - -a83a?
a839
In base 13, what is 6378 - -7?
6382
In base 11, what is 486 - -11?
497
In base 12, what is -39098 - 2?
-3909a
In base 4, what is -32032 - -2?
-32030
In base 11, what is 941 + 109?
a4a
In base 4, what is 3 - -123113120?
123113123
In base 9, what is 0 + -2664?
-2664
In base 15, what is 523 - -8c?
5b0
In base 16, what is -1198 + 13?
-1185
In base 5, what is 4 + -42200?
-42141
In base 9, what is 351 - -2888?
3350
In base 10, what is 5778 + -16?
5762
In base 15, what is d - 1549?
-153b
In base 2, what is 1000101001001011 - 1101?
1000101000111110
In base 10, what is 301 + 4684?
4985
In base 9, what is -2 + 10025?
10023
In base 8, what is -5 - 1315414?
-1315421
In base 5, what is -322132 + -221?
-322403
In base 3, what is 22102211020 + -11?
22102211002
In base 5, what is -113110 - 11?
-113121
In base 6, what is 544 - -24233?
25221
In base 3, what is -2120 + 202020?
122200
In base 12, what is -b3 - -857?
764
In base 10, what is 230 + -60?
170
In base 10, what is -9208 + 25?
-9183
In base 3, what is -110 + -10020222101?
-10020222211
In base 3, what is 1120 - 1120101112?
-1120022222
In base 14, what is 67c + -290?
3cc
In base 4, what is 0 + 3301333?
3301333
In base 7, what is 1232503 - -5?
1232511
In base 4, what is -13212103 - -1?
-13212102
In base 6, what is -21155234 - 4?
-21155242
In base 8, what is 4 + 7064?
7070
In base 3, what is -121201 - -2002?
-112122
In base 5, what is -2143031 + 20?
-2143011
In base 8, what is 370075 + 3?
370100
In base 9, what is -486 - 637?
-1234
In base 12, what is 5099b - 7?
50994
In base 13, what is -2c - -562?
533
In base 15, what is -10c - 867?
-974
In base 3, what is 200201202 - 21?
200201111
In base 12, what is -284188 - -2?
-284186
In base 16, what is 32 + 6e00?
6e32
In base 16, what is -15cf + -6?
-15d5
In base 7, what is -333136 - 10?
-333146
In base 16, what is -15177 - -c?
-1516b
In base 5, what is 24332 - -2?
24334
In base 10, what is -2 - 1183916?
-1183918
In base 3, what is -10000 - -1021?
-1202
In base 10, what is 124 - -148?
272
In base 16, what is -1 - -cd141?
cd140
In base 16, what is 1 + -114e?
-114d
In base 12, what is 33041a - 0?
33041a
In base 6, what is -25014 - -102?
-24512
In base 8, what is 3 - 650434?
-650431
In base 14, what is 15a + -65?
d5
In base 15, what is 4 - -210b?
2110
In base 6, what is -112135 + 52?
-112043
In base 2, what is -1100111110 - 111?
-1101000101
In base 4, what is 1301233 + -1133?
1300100
In base 7, what is -251 + -12154?
-12435
In base 8, what is 34031
|
{
"pile_set_name": "DM Mathematics"
}
|
3*g**2 - 17*g. Let z(d) = -d**2 - 9*d. Let c(a) = -a**3 + 7*a**2 + 11*a - 86. Let x be c(4). Give x*v(o) - 11*z(o).
-7*o**2 - 3*o
Let z(p) = -p**3 + 4*p**2 + 2*p + 15. Let d(g) = g**3 - 3*g**2 - 2*g - 20. Determine 5*d(u) + 6*z(u).
-u**3 + 9*u**2 + 2*u - 10
Let r(x) = x - 1. Let g(m) = 17*m - 6. Let w be -16 + (-32)/((-128)/84). What is w*r(l) - g(l)?
-12*l + 1
Let i(o) = -2*o**2 - 63*o - 26. Let d(y) = 6*y**2 + 177*y + 77. Determine -4*d(q) - 11*i(q).
-2*q**2 - 15*q - 22
Let j(u) = 77*u**2 + 3*u + 5. Let v(f) = 2 + 116*f**2 + 5*f - 5 + 14 + 0 - 3. Determine 8*j(w) - 5*v(w).
36*w**2 - w
Let t(u) = -u**2 - 2*u - 1. Let f = -9 + 14. Suppose 14*r - f*v + 9 = 10*r, 3 = 2*r - v. Let g(y) = -y**2 - 2*y - 1. What is r*t(m) - 3*g(m)?
-m**2 - 2*m - 1
Let x(s) = 22*s + 1. Let b(c) = -c. Let o = 10443 + -10438. What is o*b(z) + x(z)?
17*z + 1
Let g(d) = -20*d + 27. Let o(r) be the second derivative of 9/2*r**2 + 0 - 7/6*r**3 + 48*r. Determine -6*g(q) + 17*o(q).
q - 9
Let o(z) = -24*z**2 - 24. Let k(n) be the second derivative of -3*n**2/2 - 1484*n - 2. Give 24*k(f) - 3*o(f).
72*f**2
Let o(c) = -193*c**3 + c**2 - 283*c + 4. Let j(n) = 241*n**3 - n**2 + 282*n - 5. What is -4*j(g) - 5*o(g)?
g**3 - g**2 + 287*g
Let q(i) = 7*i**2 - i + 267. Let n(y) = 5*y - 140. Let l(t) = -2*n(t) - q(t). Suppose 3*z + 44 = 7*z. Let g(o) = -4*o**2 - 5*o + 7. Give z*g(r) - 6*l(r).
-2*r**2 - r - 1
Let n(q) = -15*q**2 - 3094. Let m(g) = 8*g**2 + 1553. What is -11*m(d) - 6*n(d)?
2*d**2 + 1481
Let x(m) be the second derivative of 11*m - 1/2*m**3 + 7/2*m**2 + 0. Let n(g) = 2*g - 6. Give 6*n(r) + 5*x(r).
-3*r - 1
Let r(u) = 3*u**2 - 2*u - 2. Let n be (4 - 5)*22*(-2)/2. Suppose -c - b = n + 29, 0 = -4*b + 16. Let w(a) = -80*a**2 + 55*a + 55. Determine c*r(l) - 2*w(l).
-5*l**2
Let s(x) = 255*x + 84. Let g(f) = 84*f + 30. Give -17*g(c) + 6*s(c).
102*c - 6
Let g(s) = 20*s**2 - 2*s + 42. Let a(x) = -7*x**2 + x - 21. What is -13*a(d) - 6*g(d)?
-29*d**2 - d + 21
Let j(g) = 1454*g**2 + 6*g + 21. Let f(k) = 4361*k**2 + 16*k + 56. Calculate 3*f(i) - 8*j(i).
1451*i**2
Let k(u) be the third derivative of u**5/30 - u**4/6 + u**3 - 3019*u**2. Let x(z) = 3*z**2 - 7*z + 11. Suppose 0 = p - 3 - 4. Calculate p*k(m) - 4*x(m).
2*m**2 - 2
Let f(c) be the third derivative of c**5/20 - 3*c**4/8 + c**3 - 5*c**2 - 83*c. Let b(i) = 1. Calculate 6*b(j) - f(j).
-3*j**2 + 9*j
Let p(f) = -3*f + 20. Let r(o) = -o**2 - 19*o - 13. Let l be r(11). Let d = l + 349. Let j(v) = -v + 7. Let z = -35 - -18. Calculate d*p(h) + z*j(h).
-h + 1
Let q(f) = -56*f**2 - 7*f - 7. Let s(b) = -3*b**2 - 35*b - 77. Let n be s(-9). Let j(l) = -37*l**2 - 5*l - 5. Give n*q(u) + 7*j(u).
21*u**2
Suppose -2*y + 5*m = 22, -3*y - 11*m + 9*m = -5. Let p(n) = -n + 1. Let g(d) = -4*d + 4. Determine y*g(c) + 5*p(c).
-c + 1
Let q = -3379 + 3778. Let i(m) = 19*m**3 - 133*m**2 - 133*m + 133. Let b(h) = -h**2 - h + 1. Calculate q*b(r) - 3*i(r).
-57*r**3
Let c(j) = 3*j**3 + 3. Suppose -4*v = -4*a + 16, -4*v + 0*a - 7 = -a. Let s(y) be the second derivative of -13*y + 1/2*y**2 + 0. Determine v*c(z) + 3*s(z).
-3*z**3
Suppose x = -8*x + 423. Let s = x - 47. Let r(g) = s + g + 5 + 2 - 1. Let a(z) = -z - 5. Determine -4*a(q) - 3*r(q).
q + 2
Let j(o) = 2*o**2 - o - 2. Let g(p) = 0*p + 2*p**2 - p - 24633 + 24632. Determine 5*g(b) - 4*j(b).
2*b**2 - b + 3
Let d(z) = -2*z**3 + 689*z**2 - 6*z + 174. Let m(c) = -7*c**3 + 2066*c**2 - 19*c + 551. Give -19*d(b) + 6*m(b).
-4*b**3 - 695*b**2
Let x(s) = 40*s + 51. Let u(d) = -84*d - 100. What is -3*u(k) - 5*x(k)?
52*k + 45
Let s(o) = -2*o + 7. Let d be s(0). Let u(a) = -5*a - 38*a**2 - 7 - 2 - 40*a**2 + 81*a**2 + 2*a. Let l(c) = 2*c**2 - 2*c - 5. Determine d*l(b) - 4*u(b).
2*b**2 - 2*b + 1
Suppose -12*r - 13 = -37. Let q be (15/12)/((-1)/4). Let b(u) = u**3 + 2*u**2. Let i(l) = 2*l**3 + 5*l**2 + l. Determine q*b(o) + r*i(o).
-o**3 + 2*o
Let c(l) be the first derivative of -l**3 - l**2 - 1872. Let z(m) be the third derivative of 7*m**5/60 + m**4/6 - m**3/6 + 34*m**2. Determine -5*c(g) - 2*z(g).
g**2 + 2*g + 2
Let o(q) = 24*q - 52. Let i(c) = -c + 6. What is -2*i(m) + o(m)?
26*m - 64
Suppose -8*u = -6*u - 8. Suppose 3*g - 13 = -u. Let d(n) = 3 - 3 + g - 2 - 2*n. Let c(w) = 5*w - 2. Determine 3*c(p) + 7*d(p).
p + 1
Let v(o) = -1014*o**3 + 3042*o - 3042. Let y(g) = g**3 - g + 1. What is v(u) + 3042*y(u)?
2028*u**3
Suppose 11*x + 4897 = 4930. Let c(u) = 20*u - 5. Let v(o) = -19*o + 4. Give x*v(j) + 2*c(j).
-17*j + 2
Let g(a) = -a**2 - 11*a - 20. Let y be g(-8). Let u(v) = -v. Let n(r) = 5*r - 5. Let l(j) = y*u(j) - n(j). Let z(b) = -4*b + 2. Determine -2*l(p) + 5*z(p).
-2*p
Let k(m) = -180*m - 139. Let g(o) = 238*o + 185. Calculate 7*g(z) + 9*k(z).
46*z + 44
Let c(t) = -43*t + 4481. Let i(k) = 77*k - 8966. Give 9*c(n) + 5*i(n).
-2*n - 4501
Let m(c) = -4*c**3 + 9*c**2 - 143*c + 9. Let j(z) = z**3 - 2*z**2 + 36*z - 2. Let v = 19097 + -19106. Give v*j(t) - 2*m(t).
-t**3 - 38*t
Let c(s) = s + 3 - 3 + s**2 - 2191*s**3 + 2190*s**3. Let h(a) = 11*a**3 - 3*a**2 - 4*a - 1. Determine 3*c(x) + h(x).
8*x**3 - x - 1
Let a(c) = 8 + 22904*c - 4 - 22882*c - 6. Let x(n) = -1. Give a(i) - 4*x(i).
22*i + 2
Let s(v) = -8*v**3 - 4*v - 4. Let i(m) be the third derivative of m**4/24 + m**3/6 - 1835*m**2. Calculate 24*i(b) + 6*s(b).
-48*b**3
Let j(s) = -3*s**2 - 9. Let q(n) = -749*n - n**2 - 4 + 749*n. Let x be 2/(48/(-27) + 2). What is x*q(w) - 4*j(w)?
3*w**2
Let q(n) = -n**2 + 4*n. Let l(h) = 100*h**2 + 400*h. Give 5*l(w) - 500*q(w).
1000*w**2
Let u(y) be the third derivative of -y**5/12 + y**4/12 + y**3 - 2*y**2. Suppose -640*k = 2203 + 1637. Let n(i) = 5*i**2 - 2*i - 5. What is k*n(q) - 5*u(q)?
-5*q**2 + 2*q
Let u(i) = 26*i - 1795. Let o(z) = 11*z - 896. Determine 7*o(v) - 3*u(v).
-v - 887
Let j(r) = -7*r**2 - 3*r + 6. Let f(q) = -13*q**2 + 1. Let z(c) = 15*c**2 - c + 1. Let p(a) = -4*f(a) - 3*z(a). Determine -7*j(h) - 6*p(h).
7*h**2 + 3*h
Let z(g) = g**3 - 13*g**2 + 44*g - 14. Let r(n) = -5*n**2 + 23*n - 6. Give -7*r(t) + 3*z(t).
3*t**3 - 4*t**2 - 29*t
Let f(t) = 96986205*t - 15255. Let c(h) = -25429*h + 4. Give 15255*c(j) + 4*f(j).
25425*j
Let g(c) = c + 4. Let u(k) be the second derivative of 10 + 5/2*k**2 + 1/6*k**3 + 2*k. Determine 4*g(a) - 3*u(a).
a + 1
Let u(x) = 5937 - 2959 + 2*x**2 - 2973 + 2*x**3. Let b(c) = c**3 + 2*c**2 + 6. Calculate -3*b(z) + 4*u(z).
5*z**3 + 2*z**2 + 2
Let z(p) be the second derivative of -9*p + 1 - 3/2*p**2 + 7/6*p**3. Let m = 5 - 2. Let a(o) = 15*o - 7. What is m*a(f) - 7*z(f)?
-4*f
Let q(i) = 3528*i - 145. Let v(k) = 3529*k - 181. Calculate 5*q(b) - 4*v(b).
3524*b - 1
Let h(s) = 29*s - 6. Let o(p) be the third derivative of 5*p**4/24 - p**3/6 - 6*p**2 - 8. Calculate -6*h(y) + 34*o(y).
-4*y + 2
Let o(n) = 13 + 20 + 17 - 56 + 7. Let s = -14 - -13. Let x(h) = 27*h - 27. Let c(d) = -7*d + 7. Let p(u) = 15*c(u) + 4*x(u). Determine s*p(m) - 3*o(m).
-3*m
Suppose 3*u = 1 - 13. Let x(n) = n**3 - n**2 + n - 1. Let t(f) = 5502*f**3 - 1840*f**3 - 1839*f**3 + 4 - 1820*f**3 - 2*f + 4*f**2. What is u*x(m) - t(m)?
-7*m**3 - 2*m
Let i(j) = -4*j**3 - 3*j**2 - 3*j**2 - 6 + 0*j + 0*j. Let y(q) be the first derivative of -3*q**4/4 - 7*q**3/3 - 7*q + 5387. What is 7*i(l) - 6*y(l)?
-10*l**3
Let b(g) = 12*g**2 + 4209*g + 21. Let j(t) = -19*t**2 - 6313*t - 33. What is 22*b(m) + 14*j(m)?
-2*m**2 + 4216*m
Let k(b) = 6*b + 3. Suppose -5 = 2*r - 9. Let a be (r/(-2))/(96/(-30) + 3). Let v(w) = -25*w + 72*w + a - 21*w - 15*w. Give -5*k(j) + 3*v(j).
3*j
Let a = 5 - 7. Let z be 6/(-3)*2 - (2 - 5). Let c(r) = -3*r - 2. Let d(b) = -30 + 13 + 6 + 12. Determine a*d(q) + z*c(q).
3*q
Let j(f) = -1044*f - 32. Let h(c) = -3534985*c - 108368. What is 6*h(z) - 20319*j(z)?
3126*z
Let j(g) = 60*g**3 - 172*g**2 + 7*g - 98. Let c(m) = -20*m**3 + 58*m**2 - 2*m + 28. What is -7*c(b) - 2*j(b)?
20*b**3 - 62*b**2
Let l(p) = 801 - 2403 + 5*p + 812 + 809. Let u(r) = 9*r + 39. Determine -11*l(q) + 6*u(q).
-q + 25
Let s(b) = -46 - 51 - 32 + 129 + 280*b. Let j(a) = 33*a. Calculate -42*j(h) + 5*s(h).
14*h
Suppose -3*x - 130 = -5*x. Let o be x/(-9) - (-2)/9. Let c = 2783 + -2779. Let f(k) = -2*k**2 - 2*k - 11. Let p(r) = -r**2 - r - 6. Give c*f(i) + o*p(i).
-i**2 - i - 2
Let q(p) = 2*p + 27. Let n = -10561 + 10565. Let r(j) = 3*j + 28. Calculate n*q(t) - 3*r(t)
|
{
"pile_set_name": "DM Mathematics"
}
|
assuming x is positive.
x**(107/42)
Simplify u**(3/8)*u*u*(u/u**(-2/21)*u)/u*(((u*u**(-2/3)*u*u*u)/u)/u)**(4/17) assuming u is positive.
u**(10807/2856)
Simplify ((s**2)**(14/3)/((s/s**(3/5))/s**(1/14)))**31 assuming s is positive.
s**(58621/210)
Simplify (d/(d*d**(11/3))*(d/(d/(d**(1/4)*d)))/d)**32 assuming d is positive.
d**(-328/3)
Simplify (v/((v**(1/4)/v*v)/v))**(-2/149)*v**(1/4)*v**(1/8) assuming v is positive.
v**(419/1192)
Simplify (b**(-22)*b/(b*((b/b**(-18))/b)/b*b))**(4/5) assuming b is positive.
b**(-32)
Simplify (((i**(-25)/i)/i)/(i**(-32)/i))/((i/((i/((i*i/(i*i**14)*i)/i)*i)/i))/((i/(i*i/(i*i**34*i)*i))/i)) assuming i is positive.
i**52
Simplify s**12*s**(15/2)*s*s**(1/22)/s*s**10/s*s assuming s is positive.
s**(325/11)
Simplify a**(1/3)/(a*a**(3/13))*a*a**7*a*a**24 assuming a is positive.
a**(1252/39)
Simplify (v*v**(2/27)*v)**(-22)*v**(3/7)/v**(-8/11) assuming v is positive.
v**(-92461/2079)
Simplify ((q**14/q)/q**(-7/4))/(q**10*(q/q**(2/7))/q) assuming q is positive.
q**(141/28)
Simplify ((a/(a/((a*a**13/a)/a*a)))/(a**(-2/19)/a))/(a**(-3/5)/a**(1/3)) assuming a is positive.
a**(4286/285)
Simplify ((q/(q/(q/(q/(q*q*(q**(-5/6)/q*q)/q))))*q/(q*q/q**(4/3)*q)*q*q*q)/(((q*q/q**(-4))/q)/q**7))**12 assuming q is positive.
q**54
Simplify (i*i*i**11*i)/(i*i**(-27))*(i**(2/61)*i)**(-2/79) assuming i is positive.
i**(192634/4819)
Simplify (x**0)**(-2/141)/((x*x**(2/3))/x*x*x**(1/5)) assuming x is positive.
x**(-28/15)
Simplify (b**(2/9))**(5/2)/(((b*b**(-9))/b)/b**(-1/20)) assuming b is positive.
b**(1711/180)
Simplify ((q**2/q**(-1/5))/((((q*q**0)/q)/q)/(q*q*q/(q*q**0)*q*q)))**45 assuming q is positive.
q**324
Simplify (s**(2/3)/(((((s/s**(3/10))/s)/s)/s)/s))/((s/s**31)/(s/(s/((((s*s**(-23))/s)/s)/s)))) assuming s is positive.
s**(269/30)
Simplify ((x**22/x*x*x)/x**12)/(x*x**(-2/11)*(x**(-15)/x)/x) assuming x is positive.
x**(299/11)
Simplify ((n/(n**17*n))/(n*n/(n*n*((n**(2/61)/n)/n*n)/n*n)))**(-18/7) assuming n is positive.
n**(19728/427)
Simplify ((z/(z*z/(z**(-1/15)*z))*(z/z**13)/z)**(2/21))**(-22/7) assuming z is positive.
z**(176/45)
Simplify q**(-1/5)*q**(-1/9)*q*(q*q**(1/5)/q)**(8/9) assuming q is positive.
q**(13/15)
Simplify (w*w**(-2/7))**46/(w**(2/5))**(12/19) assuming w is positive.
w**(21682/665)
Simplify ((w/(w**(3/5)*w)*w**(-4/9))**(-49))**(1/8) assuming w is positive.
w**(2303/360)
Simplify (s**(-15)*s)**0/(s/((s/(s/(s*(s/(s/(s/s**(2/27))))/s)*s))/s)*(s**(-5/17)/s)/s) assuming s is positive.
s**(101/459)
Simplify (((l*l/(l/(((l*l*(l/((l/(l*l*l/(l/l**6)*l))/l))/l)/l*l)/l))*l)/l**(2/7))**(2/33))**40 assuming l is positive.
l**(6560/231)
Simplify l**0/(l*l**(2/7))*l**(-2)*l*l*l*(((l**(2/5)/l)/l)/l)/l assuming l is positive.
l**(-136/35)
Simplify (q**(1/4)*q)/q*((q**(2/13)*q)/q)/q*((q**(-14)/q)/q)/((((q*q/(q/q**(-9)))/q)/q)/q) assuming q is positive.
q**(-291/52)
Simplify (s**34*s*s**8)**(2/53) assuming s is positive.
s**(86/53)
Simplify (o**(-5))**27/(o**4)**(-1/5) assuming o is positive.
o**(-671/5)
Simplify p/(p*p**(1/4))*p**(-11/4)*p/p**22*p**22*p*p assuming p is positive.
1
Simplify (n*n/(n/n**(-12)))**(2/17)/(n**(-9))**(1/4) assuming n is positive.
n**(65/68)
Simplify (((o*(o/(o/((o**(-5)*o)/o)))/o)/o**3)**(-46))**(2/17) assuming o is positive.
o**(736/17)
Simplify ((k**(-13))**(2/49))**(19/2) assuming k is positive.
k**(-247/49)
Simplify ((h/h**0)**(29/5)*(h**3/h)/(h*h*h**(-1/2)*h))**11 assuming h is positive.
h**(583/10)
Simplify q**(2/19)*q*q*(q/(q/(q/(q/q**13))))/q*(q**(-3))**(-16) assuming q is positive.
q**(1180/19)
Simplify (t**13*t**(-7/4))/(t/t**(-2/23)*t**(-2/57)/t) assuming t is positive.
t**(58723/5244)
Simplify (((s*s**(2/3))/(s/(s**(-4/7)/s)))**44)**(-5) assuming s is positive.
s**(4180/21)
Simplify (i**(-28)/(i**23*i*i))**(2/15) assuming i is positive.
i**(-106/15)
Simplify (r**(-4)*r**7)/(r/(r*r*r/(r*r*r**(-2/7)*r)))**(-3) assuming r is positive.
r**(36/7)
Simplify (u*u*u**(-1/4)*u)/((u*u*u**(-8/5))/u)*(u/((u/u**(2/9))/u))/(u*u**(-8)) assuming u is positive.
u**(2083/180)
Simplify ((s**12/s)/s**(-4))/(s/s**(-6))**44 assuming s is positive.
s**(-293)
Simplify z**(-1/4)*z**(1/8)*z**(-2/9)*z*z/z**(-6/11)*z assuming z is positive.
z**(2533/792)
Simplify (y**(2/3)/(y**(-1/2)/y*y))/((y/(y**(-2/15)/y))/y)**31 assuming y is positive.
y**(-1019/30)
Simplify ((p**(-1))**(2/31)*p**(-3/4)*p**(-3/7))**(-1/13) assuming p is positive.
p**(83/868)
Simplify (w/(w*w**(-9)*w*w))/(w**6/w)*w**(7/4)*w**5 assuming w is positive.
w**(35/4)
Simplify (b/(b/(b**(2/5)/b)))**(1/21)/((b**8/b)/b**(1/6)) assuming b is positive.
b**(-1441/210)
Simplify (((s/s**(-12)*s)/(s*s**14*s))**(-38/5))**(-3/10) assuming s is positive.
s**(-114/25)
Simplify ((r*(r/r**(-1/6))/r*r)/r**(9/7))**(-1/4) assuming r is positive.
r**(-37/168)
Simplify (l**(-11)*l**(-6))/(l**(1/20)*l**(-7)) assuming l is positive.
l**(-201/20)
Simplify ((r**(13/3)/r)/(r/r**(4/9)))/(r**(6/7))**(8/7) assuming r is positive.
r**(793/441)
Simplify ((b**(-17)/b)/(b/(b/(b**(-25)*b))))**(30/7) assuming b is positive.
b**(180/7)
Simplify ((o*o**4/o)/o)**(-23)/(o**8*o/o**(3/4)) assuming o is positive.
o**(-309/4)
Simplify (w/w**(-25))/w**(-3/11)*(w*w/(w/(w*w/(w*w*(w*w/(w/w**27*w))/w)*w)))**(-3) assuming w is positive.
w**(1081/11)
Simplify (((y**24/y)/y*y)/y*y**18)/(y/y**(-3/2)*y)**(3/5) assuming y is positive.
y**(379/10)
Simplify ((x*x**(-19)/x)**(-2/17))**(2/9) assuming x is positive.
x**(76/153)
Simplify (b**1/b)/b**(-1/9)*(b**3*b)**(-1/3) assuming b is positive.
b**(-11/9)
Simplify ((t*t**(-1/14)*t)/(t**(1/8)*t))/(t**(-1/10)*t**26/t) assuming t is positive.
t**(-6747/280)
Simplify ((h**(-13)*h**(-1/3))**(-49))**(1/22) assuming h is positive.
h**(980/33)
Simplify ((v**(-2)/v*v*v*v**(1/2))/(v/v**8*v**2))**(-5/7) assuming v is positive.
v**(-45/14)
Simplify (k**(-3/2)*k/((k**(3/17)*k)/k))**(9/8) assuming k is positive.
k**(-207/272)
Simplify (n**(-7)/n)/n**(-12)*(n/(((n/(n**(-2/7)*n))/n)/n*n))/n**(2/7) assuming n is positive.
n**(38/7)
Simplify ((p*p*(p**2/p)/p*p*p*p)/p*p)/(p/(p**12/p))*(p**(-8)/p*p*p)/(p*p**(5/4)) assuming p is positive.
p**(23/4)
Simplify (a**(-1/16)/a*a/a**(-1))/(a**(-6)/(((a**(-12)*a*a*a)/a)/a)) assuming a is positive.
a**(-65/16)
Simplify ((y**4*y**(-1/20))/(y**2/y*y**(-6)))**(-17/4) assuming y is positive.
y**(-3043/80)
Simplify ((l**(-5)*l)/(l/(l**0*l))*(l/l**(-1))**(3/8))**(-2/35) assuming l is positive.
l**(13/70)
Simplify ((h/(h/(h**(-4)/h*h)*h*h))/(h**(-10)*h))/(h/(h**13*h*h*h*h)*h*h**(-2/9)*h) assuming h is positive.
h**(155/9)
Simplify (j/(j*j**30))/(j*j**(-7))*(j/j**(-2/55))**(-23) assuming j is positive.
j**(-2631/55)
Simplify (p**7/p)**(6/5)*p*p**25*p*p**28*p assuming p is positive.
p**(316/5)
Simplify ((((u/((u*u/u**4*u)/u))/u)/u)/u**(1/6)*(u*u/u**(-5/4))/u**(-5))**(6/17) assuming u is positive.
u**(109/34)
Simplify y**(1/30)*y*y*y**(18/11)*(y/(y*y**13))/(y**(-1)*y) assuming y is positive.
y**(-3079/330)
Simplify (n*n**(-10)/n)**(-4)*(n**(-36)/n)/n**(5/3) assuming n is positive.
n**(4/3)
Simplify ((s/(s**(-1/2)/s*s)*s/s**(-3)*s)**(-21/4))**(-1/3) assuming s is positive.
s**(91/8)
Simplify ((d**(-5)*d)/d**(-3)*d**(-4)/(d*d**(-1/4)))**(-8) assuming d is positive.
d**46
Simplify (q**(-14)/q*q/(q/q**(3/7)))/(q**(-2/25))**(-1/64) assuming q is positive.
q**(-81607/5600)
Simplify (q**7/(q*q*(q/q**12)/q))/(((q/(q**(2/27)*q))/q*q)/((q/(q/(q*q*q/(q*(q*(q**(-2)*q*q)/q)/q*q)*q)))/q)) assuming q is positive.
q**(515/27)
Simplify k**(-3/7)/k**2*k**21/k*k/k**(-5/4)*k assuming k is positive.
k**(583/28)
Simplify ((b*(b*b**(-3/11))/b)/(b**(-11)/b))/(b**(-2/17)/(b*b*b*b*b**(-12)/b)) assuming b is positive.
b**(719/187)
Simplify (y*y/((y/y**(-6)*y)/y)*y**(-1)*(y**(-2/5))**9)**(-2/153) assuming y is positive.
y**(32/255)
Simplify ((c**(1/3))**2/(c*c**(-1/4))**(-2/5))**(-2/61) assuming c is positive.
c**(-29/915)
Simplify (c**37*c*c*c**(2/51)/c)**(-20) assuming c is positive.
c**(-38800/51)
Simplify (o**(-1/3))**(-12/17)/((o*(o/o**(-1/4))/o)/o)**41 assuming o is positive.
o**(-681/68)
Simplify (y**(1/3))**41/(y**(1/7)/y**(-6/11)) assuming y is positive.
y**(2998/231)
Simplify ((c*c**(11/2)/c)/(c*c/(c**13*c*c*c)))/(c*c*(c*c**(-9))/c*c*c*c*c**(-1/13)) assuming c is positive.
c**(613/26)
Simplify o**(4/5)/o*o/(o*o/(o*(o**(1/11)*o)/o))*(o**(-6))**12 assuming o is p
|
{
"pile_set_name": "DM Mathematics"
}
|
5640 to the nearest integer?
9
What is 79197 to the power of 1/2, to the nearest integer?
281
What is the square root of 2018 to the nearest integer?
45
What is 24296 to the power of 1/9, to the nearest integer?
3
What is the third root of 4082 to the nearest integer?
16
What is 2845 to the power of 1/3, to the nearest integer?
14
What is the square root of 664 to the nearest integer?
26
What is the square root of 6508 to the nearest integer?
81
What is the fifth root of 1100 to the nearest integer?
4
What is the seventh root of 40595 to the nearest integer?
5
What is 10998 to the power of 1/9, to the nearest integer?
3
What is 32748 to the power of 1/7, to the nearest integer?
4
What is 4338 to the power of 1/2, to the nearest integer?
66
What is the tenth root of 9380 to the nearest integer?
2
What is the third root of 1512 to the nearest integer?
11
What is the square root of 30177 to the nearest integer?
174
What is the seventh root of 16806 to the nearest integer?
4
What is the square root of 1945 to the nearest integer?
44
What is 2477 to the power of 1/2, to the nearest integer?
50
What is the sixth root of 818 to the nearest integer?
3
What is the square root of 601 to the nearest integer?
25
What is the square root of 26188 to the nearest integer?
162
What is 17234 to the power of 1/2, to the nearest integer?
131
What is the square root of 10 to the nearest integer?
3
What is 62 to the power of 1/10, to the nearest integer?
2
What is the third root of 1234 to the nearest integer?
11
What is the square root of 2760 to the nearest integer?
53
What is 22857 to the power of 1/4, to the nearest integer?
12
What is the sixth root of 3264 to the nearest integer?
4
What is 391 to the power of 1/2, to the nearest integer?
20
What is 36728 to the power of 1/2, to the nearest integer?
192
What is 576 to the power of 1/3, to the nearest integer?
8
What is 10093 to the power of 1/3, to the nearest integer?
22
What is the third root of 9277 to the nearest integer?
21
What is 5718 to the power of 1/2, to the nearest integer?
76
What is 167659 to the power of 1/7, to the nearest integer?
6
What is 4195 to the power of 1/2, to the nearest integer?
65
What is the sixth root of 6276 to the nearest integer?
4
What is the cube root of 565 to the nearest integer?
8
What is the cube root of 38396 to the nearest integer?
34
What is 150834 to the power of 1/3, to the nearest integer?
53
What is 131079 to the power of 1/3, to the nearest integer?
51
What is the cube root of 93502 to the nearest integer?
45
What is 6163 to the power of 1/5, to the nearest integer?
6
What is the square root of 39346 to the nearest integer?
198
What is the eighth root of 83202 to the nearest integer?
4
What is the third root of 586 to the nearest integer?
8
What is 1323 to the power of 1/2, to the nearest integer?
36
What is 1985 to the power of 1/6, to the nearest integer?
4
What is 3031 to the power of 1/8, to the nearest integer?
3
What is 17192 to the power of 1/2, to the nearest integer?
131
What is 9684 to the power of 1/2, to the nearest integer?
98
What is the cube root of 91871 to the nearest integer?
45
What is the cube root of 55194 to the nearest integer?
38
What is the cube root of 361 to the nearest integer?
7
What is the square root of 11467 to the nearest integer?
107
What is the cube root of 4595 to the nearest integer?
17
What is the square root of 84130 to the nearest integer?
290
What is 6989 to the power of 1/8, to the nearest integer?
3
What is 1009 to the power of 1/2, to the nearest integer?
32
What is 1121 to the power of 1/8, to the nearest integer?
2
What is 2689 to the power of 1/2, to the nearest integer?
52
What is 2568 to the power of 1/3, to the nearest integer?
14
What is 137020 to the power of 1/10, to the nearest integer?
3
What is the tenth root of 516 to the nearest integer?
2
What is 70805 to the power of 1/8, to the nearest integer?
4
What is 6551 to the power of 1/10, to the nearest integer?
2
What is the square root of 55127 to the nearest integer?
235
What is the cube root of 13288 to the nearest integer?
24
What is 205 to the power of 1/8, to the nearest integer?
2
What is the square root of 915 to the nearest integer?
30
What is 22458 to the power of 1/3, to the nearest integer?
28
What is the square root of 33907 to the nearest integer?
184
What is the third root of 4028 to the nearest integer?
16
What is 6066 to the power of 1/10, to the nearest integer?
2
What is 1980 to the power of 1/8, to the nearest integer?
3
What is the fourth root of 143058 to the nearest integer?
19
What is the seventh root of 988 to the nearest integer?
3
What is the cube root of 1123 to the nearest integer?
10
What is the seventh root of 71737 to the nearest integer?
5
What is 86231 to the power of 1/4, to the nearest integer?
17
What is the cube root of 1857 to the nearest integer?
12
What is the fifth root of 8935 to the nearest integer?
6
What is 3248 to the power of 1/6, to the nearest integer?
4
What is 109 to the power of 1/3, to the nearest integer?
5
What is 13567 to the power of 1/2, to the nearest integer?
116
What is the cube root of 37201 to the nearest integer?
33
What is the eighth root of 389 to the nearest integer?
2
What is 6077 to the power of 1/10, to the nearest integer?
2
What is the cube root of 22836 to the nearest integer?
28
What is 1174 to the power of 1/3, to the nearest integer?
11
What is 152 to the power of 1/4, to the nearest integer?
4
What is 63226 to the power of 1/10, to the nearest integer?
3
What is 3748 to the power of 1/3, to the nearest integer?
16
What is the cube root of 15769 to the nearest integer?
25
What is the cube root of 46921 to the nearest integer?
36
What is the fifth root of 62124 to the nearest integer?
9
What is the cube root of 37356 to the nearest integer?
33
What is the cube root of 329 to the nearest integer?
7
What is the fourth root of 5173 to the nearest integer?
8
What is the eighth root of 783 to the nearest integer?
2
What is 149140 to the power of 1/2, to the nearest integer?
386
What is 162 to the power of 1/7, to the nearest integer?
2
What is 9044 to the power of 1/2, to the nearest integer?
95
What is the square root of 10353 to the nearest integer?
102
What is 12216 to the power of 1/6, to the nearest integer?
5
What is the square root of 197618 to the nearest integer?
445
What is 102707 to the power of 1/3, to the nearest integer?
47
What is 11263 to the power of 1/10, to the nearest integer?
3
What is the third root of 11914 to the nearest integer?
23
What is 4353 to the power of 1/5, to the nearest integer?
5
What is the square root of 1184 to the nearest integer?
34
What is the tenth root of 16566 to the nearest integer?
3
What is the fifth root of 9717 to the nearest integer?
6
What is 748 to the power of 1/2, to the nearest integer?
27
What is the third root of 3013 to the nearest integer?
14
What is the square root of 15088 to the nearest integer?
123
What is the cube root of 158 to the nearest integer?
5
What is the eighth root of 24826 to the nearest integer?
4
What is 66524 to the power of 1/3, to the nearest integer?
41
What is the square root of 129528 to the nearest integer?
360
What is the square root of 263 to the nearest integer?
16
What is the ninth root of 7517 to the nearest integer?
3
What is 464 to the power of 1/6, to the nearest integer?
3
What is the sixth root of 1478 to the nearest integer?
3
What is the ninth root of 25112 to the nearest integer?
3
What is 27532 to the power of 1/2, to the nearest integer?
166
What is the tenth root of 25280 to the nearest integer?
3
What is the seventh root of 14601 to the nearest integer?
4
What is 26099 to the power of 1/4, to the nearest integer?
13
What is 59761 to the power of 1/7, to the nearest integer?
5
What is the seventh root of 5495 to the nearest integer?
3
What is the cube root of 2456 to the nearest integer?
13
What is the square root of 5287 to the nearest integer?
73
What is 14624 to the power of 1/2, to the nearest integer?
121
What is the square root of 131619 to the nearest integer?
363
What is 66863 to the power of 1/5, to the nearest integer?
9
What is the square root of 6518 to the nearest integer?
|
{
"pile_set_name": "DM Mathematics"
}
|
of 9465 and 18930?
18930
What is the common denominator of 24/65 and 7/76?
4940
What is the smallest common multiple of 28410 and 6?
28410
What is the common denominator of 49/45838 and 77/3526?
45838
Calculate the least common multiple of 6273 and 4182.
12546
Calculate the common denominator of -42/1025 and 51/39565.
197825
Find the common denominator of -99/12064 and -91/2.
12064
What is the common denominator of 44/68439 and -10/9?
205317
Find the common denominator of 7/98580 and -15/2.
98580
Calculate the smallest common multiple of 59 and 245263.
245263
Find the common denominator of -61/1852449 and -137/6.
3704898
What is the common denominator of -29/95 and 43/1610?
30590
What is the smallest common multiple of 115 and 18920?
435160
What is the common denominator of 131/60 and 19/2320110?
4640220
Calculate the common denominator of -45/115628 and -23/274.
115628
Calculate the smallest common multiple of 129954 and 35442.
389862
What is the least common multiple of 23529 and 33?
23529
Calculate the least common multiple of 2100 and 1050.
2100
Find the common denominator of 49/12969 and -52/12969.
12969
What is the common denominator of 81/664 and -63/64?
5312
Calculate the least common multiple of 46933 and 422397.
422397
What is the least common multiple of 3633 and 315?
54495
Find the common denominator of 1/55584 and -15/176.
611424
Find the common denominator of -55/4282 and -23/2.
4282
Find the common denominator of -89/2464 and -87/1552.
239008
Calculate the common denominator of 71/54597 and 55/9.
163791
What is the smallest common multiple of 6501 and 21276?
234036
Calculate the common denominator of -17/6125 and -36/1225.
6125
Calculate the common denominator of 43/23332 and 77/164.
956612
What is the lowest common multiple of 4200 and 3000?
21000
What is the smallest common multiple of 84 and 27366?
383124
Calculate the common denominator of 30/8159 and -24/287.
57113
Find the common denominator of -59/15116 and 33.
15116
What is the common denominator of 11/32 and 33/41864?
167456
What is the least common multiple of 9192 and 492?
376872
What is the common denominator of -117/14480 and 19/724?
14480
Calculate the least common multiple of 276274 and 1070.
1381370
Calculate the least common multiple of 15 and 47180.
141540
Find the common denominator of 1/6 and -119/16146.
16146
Calculate the common denominator of -61/7032 and -77/548496.
548496
Calculate the lowest common multiple of 465 and 21828.
3383340
What is the common denominator of 29/14 and 95/853342?
853342
Calculate the common denominator of -109/4842 and -67/150.
121050
What is the lowest common multiple of 11060 and 140?
11060
Find the common denominator of 105/67796 and 67/22.
745756
What is the common denominator of 97/584 and -57/365?
2920
What is the common denominator of 87/202312 and 51/119548?
2630056
Calculate the common denominator of -2/16707 and 85/112.
1871184
Calculate the common denominator of 107/12810 and 131/6.
12810
What is the least common multiple of 171492 and 20745?
2572380
Find the common denominator of 51/10205 and -56/1495.
234715
Calculate the common denominator of -67/172 and 85/30232.
1299976
Calculate the common denominator of 67/807432 and 59/2422296.
2422296
Calculate the common denominator of 9/901241 and -8/9.
8111169
Calculate the lowest common multiple of 20 and 180296.
901480
Calculate the common denominator of -37/14 and -29/9008.
63056
Calculate the lowest common multiple of 3795819 and 10.
37958190
What is the smallest common multiple of 20677 and 870?
620310
What is the common denominator of -167/1092 and 57/4186?
25116
Find the common denominator of -88/4977 and -41/1505.
1070055
What is the least common multiple of 8080 and 42016?
210080
Calculate the least common multiple of 36 and 28900.
260100
Calculate the least common multiple of 70 and 38913.
389130
What is the least common multiple of 338 and 13?
338
Find the common denominator of -83/587664 and -83/587664.
587664
Find the common denominator of 107/11952 and -93/932.
2784816
What is the common denominator of -161/4020 and 125/48?
16080
Calculate the lowest common multiple of 363 and 291.
35211
What is the smallest common multiple of 48 and 23784?
47568
What is the common denominator of -85/1781692 and 59/18?
16035228
Calculate the common denominator of 163/1380 and -181/120.
2760
What is the common denominator of 51/560 and -107/2464?
12320
Find the common denominator of 137/3900 and 79/2.
3900
What is the common denominator of -25/125111 and -27/2684?
5504884
Calculate the least common multiple of 5 and 32359.
161795
Calculate the least common multiple of 2908380 and 2423650.
14541900
What is the smallest common multiple of 2730 and 612?
278460
Calculate the lowest common multiple of 1118 and 416.
17888
Calculate the common denominator of 57/794360 and 59/280.
794360
What is the common denominator of 13/30 and 155/51072?
255360
Calculate the common denominator of -25/13566 and -8/51.
13566
Find the common denominator of 57/3130 and 73/28170.
28170
Calculate the common denominator of -37/89559 and 91/1070.
895590
Calculate the lowest common multiple of 630 and 8316.
41580
Calculate the common denominator of 71/585543 and -19/147.
4098801
Calculate the smallest common multiple of 42294 and 451136.
1353408
Calculate the smallest common multiple of 198474 and 798.
1389318
Calculate the least common multiple of 52800 and 240.
52800
What is the common denominator of -37/6324 and -17/1333?
271932
Find the common denominator of 47/3386 and -121/42.
71106
Find the common denominator of 41/10 and -17/36590.
36590
Calculate the least common multiple of 6736 and 4631.
74096
Calculate the common denominator of -23/157674 and -199/660.
1576740
Calculate the smallest common multiple of 2376 and 5346.
21384
What is the common denominator of -129/460 and -52/54763?
1095260
What is the common denominator of -8/59823 and 1/84?
1675044
Find the common denominator of 65/34443 and 67/48.
551088
What is the smallest common multiple of 208549 and 113754?
1251294
Calculate the common denominator of -61/144 and -77/1688.
30384
Calculate the least common multiple of 4644 and 54.
4644
Find the common denominator of -101/16992 and 29/42480.
84960
Calculate the lowest common multiple of 90 and 4.
180
What is the lowest common multiple of 1403745 and 35?
1403745
Calculate the least common multiple of 192170 and 192170.
192170
Find the common denominator of -131/25680 and 67/3210.
25680
What is the smallest common multiple of 384 and 38400?
38400
What is the common denominator of -91/15720 and 89/10480?
31440
Calculate the common denominator of -5/365344 and -82/14679.
3288096
Calculate the lowest common multiple of 3843 and 4270.
38430
Calculate the common denominator of -24/443675 and -48/88735.
443675
What is the lowest common multiple of 138 and 127?
17526
What is the lowest common multiple of 971 and 21?
20391
Calculate the smallest common multiple of 1384 and 15224.
15224
Find the common denominator of 37/419 and -71/22626.
22626
What is the common denominator of 79/13232 and -133/768?
635136
Calculate the common denominator of 51/10 and -25/83166.
415830
What is the common denominator of -15/5488 and 59/14?
5488
Calculate the least common multiple of 432 and 288792.
577584
Calculate the common denominator of 169/9996 and 83/192.
159936
Find the common denominator of 29/272 and 53/21216.
21216
What is the least common multiple of 12 and 2577?
10308
Calculate the smallest common multiple of 4488 and 83028.
166056
What is the least common multiple of 28480 and 85440?
85440
Calculate the common denominator of 47/5928 and -37/51168.
972192
Find the common denominator of 57/28 and 60/26677.
106708
What is the lowest common multiple of 13932 and 4?
13932
What is the common denominator of 23/38044 and 69/400?
3804400
Calculate the smallest common multiple of 108 and 102618.
615708
What is the lowest common multiple of 328458 and 109486?
328458
What is the least common multiple of 69470 and 30?
208410
Calculate the lowest common multiple of 311670 and 90.
311670
Calculate the smallest common multiple of 24703 and 70.
247030
Calculate the lowest common multiple of 241818 and 886666.
2659998
Ca
|
{
"pile_set_name": "DM Mathematics"
}
|
(-15)/(-6)*(-319)/22*8/(-5). Solve -28 + b = 10*c for c.
3
Suppose y - 55 = -53. Suppose -y*n + 16 = f + n, 0 = n - 2. Solve f = -10*q + 5*q for q.
-2
Suppose 11*z - 6*z = -360. Let k = z - -107. Suppose -k - 49 = -7*f. Solve -2*m - f = 2*m for m.
-3
Suppose 2*b - 108 = -5*n + 82, 4*n = 4*b + 124. Suppose 5*p - 55 = -5*a, 2*p + 1380*a - 1385*a - 36 = 0. Solve -29 = p*y + n for y.
-5
Let u(f) = 10 - 25 + 3*f - 4*f**2 + 10. Let r be u(6). Let b = 134 + r. Solve -3*y - 6 = -b for y.
-1
Suppose -303 = -29*p - 71. Let o = -18 + 23. Solve p*m = o*m - 3 for m.
-1
Let d be 7*(1 + 3 + -2). Let n be ((-71)/(-2))/((35/d)/5). Let a = n + -69. Solve a = -0*v - 2*v for v.
-1
Let q(u) = -12*u**2 + 57*u - 13. Let y be q(4). Solve -12*g = 11*g + y for g.
-1
Suppose 5*y - t - 16 = 0, -5*y + y - 5*t = -36. Suppose 5*w - 504 = -4*w. Suppose w*j + 11 = 4*r + 55*j, -4*j = -2*r - 12. Solve 0 = -y*v - 0 - r for v.
-1
Let k(g) = 73*g - 6. Let a be k(-10). Let i = a - -739. Solve -i = 12*q - 13*q for q.
3
Suppose 7*c - 5 = 2*c. Let u be ((-6)/4)/((-9)/12). Suppose 3*w = 2*a - 12, a - 2*w + 19 = 26. Solve c + u = -a*p for p.
-1
Let s = 1905 + -1322. Let m = s + -583. Solve 4*r - 7 + 3 = m for r.
1
Let j(q) = -6*q + 37. Let c be j(-9). Suppose s - c = -6*s. Solve 8 = -17*k + s*k for k.
-2
Let j = 559 + -540. Let z = -20 + 28. Suppose u + z = j. Solve 1 - u = -2*r for r.
5
Let t be 16/(-240)*-1810*(5 + -2). Solve 43*p - t = -18 for p.
8
Suppose -2*m - m + 3*i + 9 = 0, -m - 2*i = -12. Suppose 95 = 4*x + 11. Suppose 1690 = 87*a + 67*a + 184*a. Solve m - x = -a*s for s.
3
Let a(m) = -18*m + 3. Let u be a(-3). Let w be ((-5)/4)/(-5)*-8. Let f be (-3)/w*38/u. Solve -4*l - f - 3 = 0 for l.
-1
Let p = 60 + -32. Suppose 2*z - 28 = -4*x - 6, 4*x = -4*z + p. Suppose 4 = -x*n, -2*s + 3*n + 2*n + 17 = 0. Solve 3*k = 5*k + s for k.
-3
Let q(t) = -t**3 + 11*t**2 + 12*t. Suppose -k - 3*k + 52 = 4*y, 4*y = -2*k + 28. Let c be q(k). Solve -l + 2 = -c for l.
2
Let v(z) = 2*z**3 + 108*z**2 + 103*z - 146. Let r be v(-53). Solve -32 = -3*l - r*l for l.
2
Suppose 5 + 7 = 12*y. Suppose 2*h - y = 1. Let f be (-456)/(-30) + -3 + h/(-5). Solve -3*p + f = -0*p for p.
4
Let j be ((-24)/15)/((-4)/20). Suppose 73 = -j*u + 289. Solve -6*z - 3*z = -u for z.
3
Suppose 35*t = -10*t + 1347 + 1488. Solve 2*b + t = 67 for b.
2
Suppose 0 = -q - 6*p + 2*p + 8, -p = -4*q + 15. Let n(b) = b**3 - 5*b**2 + 2*b + 13. Let w be n(q). Solve 0 = w*j - 15 + 5 for j.
2
Let p = -9518 + 9538. Solve 240 - 260 = -p*y for y.
1
Let t(i) = i**2 - 11*i + 1 + 12 + 11 - 5 + 1. Suppose -4*b = -0*b - 36. Let q be t(b). Solve q*c - 3*c = 3 for c.
-3
Let j be -10*((-143)/22 + 5). Solve 25*g - 22*g - j = 0 for g.
5
Suppose -42*s + 210 + 294 = 0. Solve -253*a = -256*a - s for a.
-4
Let w(d) = 111*d + 777. Let b be w(-7). Solve -4*x - 2 - 10 = b for x.
-3
Suppose -2*i + 52 = -25*p + 29*p, -3*p - 3*i + 51 = 0. Solve -59 = -p*c - 5 for c.
6
Suppose -15 = 5*s, -8*s + 4*s = 4*v - 0*v. Solve 8*j - v = -51 for j.
-6
Let c be 1/(((-6)/4)/(-3)). Let u be (c/3)/(8/(-516)). Let x = 44 + u. Solve 4*o + 9 = x for o.
-2
Let v be -1 + 2 - (7 - 8). Suppose 0*u - 9 = -5*u - 2*y, -2*y + v = -2*u. Let c be -2 - (-5 - -2) - u. Solve 5*w = -c*w for w.
0
Let a be -24*((-10)/(-3) + -4). Suppose 0*f = -2*f + a. Suppose f = -b + 9*b. Solve 3 = -x - b for x.
-4
Suppose -806*p - 2 = -801*p - 3*q, -3*p + q + 2 = 0. Solve 0 = p*u + 125 - 129 for u.
2
Let z be 15/3 - 16*1. Let g be 2*z/((-22)/4). Solve 4 = -g*d - 4 for d.
-2
Suppose 3*l + 2*t - 8464 = 3*t, 5*l = -5*t + 14160. Solve -2*m = 2816 - l for m.
4
Let m be (4 + -1)/((-2)/((-128)/12)). Solve 22*p - 6 = m*p for p.
1
Suppose -9 = -0*j - j. Let s = 399 + -396. Suppose -24*d = -3 + s. Solve d - j = -3*y for y.
3
Let g = 18110 + -17370. Solve g*u - 15 = 755*u for u.
-1
Suppose -3*q - 105 = -5*z, 2*z + 2*q + 22 = 48. Solve -4*n + z - 22 = 0 for n.
-1
Let r be 4 + (-20)/6 - (-46)/3. Suppose r - 4 = -3*s, 0 = -5*u - 3*s + 133. Suppose -2*y - u = -37. Solve y*g + 0*g - 16 = 0 for g.
4
Let a(g) = 4*g**3 - 82*g**2 + 43*g - 39. Let l be a(20). Solve -l*i - 67 = 17 for i.
-4
Suppose -14*k = 26*k - 9640. Solve k*o + 10 = 243*o for o.
5
Suppose -54 = -23*h - 4*h. Solve 2 = -10*o + h for o.
0
Let o(u) be the third derivative of -u**6/15 - u**3/3 - 23*u**2. Let t be o(1). Let s be t*(4 - (-9)/(-2)). Solve -4*i - i - s = 0 for i.
-1
Let z be (-6)/10 - (-66)/110. Solve -21*o + 23*o - 12 = z for o.
6
Let a = -412 - -416. Solve 13 = -a*i - 15 for i.
-7
Let g(j) = 2*j**3 - 24*j**2 - 58*j + 32. Let s be g(14). Suppose -16 = 5*q + 4. Let r be (-30)/q - (-7)/(-14). Solve r*c = s*c - 12 for c.
-4
Suppose 16 + 18 - 6 = 14*j. Suppose 2*m = 3*p - 40, -3*p + 4*m + m + 55 = 0. Let d be 1/(-3)*-3*3. Solve -p = d*b + j for b.
-4
Let f be 7 - (-6)/((-1)/(-4)*2). Solve f*m - 29 + 29 = 0 for m.
0
Suppose -4*r - 4*z + 52 = 0, -4*r = -5*r - 5*z + 25. Suppose -r*d + 44 = d. Solve d*u = -2 + 6 for u.
1
Let p(t) = 5*t**3 + 3*t**2 + 4*t + 2. Let r be p(-2). Let z = r - -30. Let h be -3 - -1 - (-9 - z). Solve -h*a = -7*a for a.
0
Let i = -223 - -244. Suppose -i*q - 38 = -206. Solve -2*k + 2 = q for k.
-3
Let j = 9858 + -9796. Solve j*s - 51*s = -11 for s.
-1
Let l(d) = 2*d**3 + 5*d**2 + 7*d - 23. Let m be l(2). Suppose 28 = m*k + k. Solve -4*a = -5*a - k for a.
-1
Let o(f) = 10*f - 2. Suppose u - 3*l - l = -3, 0 = 4*u + 3*l - 7. Let g be o(u). Suppose -9*q = -11*q + g. Solve q*a - 3*a = 3 for a.
3
Let x(a) = -4 + 28*a + 10 - 1 - 1. Let w be x(1). Let h = w - 26. Solve 3*i = i + h for i.
3
Suppose 57*q - 52*q = -5*x + 60, 0 = q + 4*x - 21. Solve -q*f - 1012 = -931 for f.
-9
Suppose -3*q - 210 = 3*q. Let w be ((98/q)/(-7))/(3/90). Solve 6*j = -w + 18 for j.
1
Let s(a) = a**2 - 6*a - 12. Let b be s(-2). Suppose 6*i - 2*i + 5*k - 23 = 0, -b*k + 10 = -i. Solve 34*o = 35*o + i for o.
-2
Let n(v) = 3*v + 19. Let b be n(-6). Let w be (143/(-26))/(b/(-2)) - -5. Solve 0 = -2*k + 6*k - w for k.
4
Let w(j) = 20*j**2 - 25*j + 10. Let r be w(1). Let d be (-6)/9 + (-2)/(-3). Solve 0*f - r*f - 20 = d for f.
-4
Let x = 12 + -4. Suppose 0 + 0 = -14*b. Suppose b = -x*a + 23 + 73. Solve 2*q + a = -q for q.
-4
Suppose 0 = -18*t + 648 + 36. Solve -32*b - 36 = -t*b for b.
6
Suppose 66*t = 53*t - 3601. Let r = t + 290. Solve -3*j - 16 = r*j for j.
-1
Let h(t) = -12*t - 42. Let l be h(14). Let k = l - -212. Suppose 4*z - 30 = -s, -4*z + 1 + 19 = 0. Solve 4*p = s - k for p.
2
Suppose y - 33 = -2*z, 2*y - 4*z - 8 = 26. Solve -66*v - 287 = -y*v for v.
-7
Suppose 0 = 2*r - 6, 10*r - 9*r = 2*n - 57. Solve n - 23 = -7*p for p.
-1
Suppose -2*z = -2*v + 41 - 3, -7*z = -v + 19. Solve 0 = 12*o - v + 43 for o.
-2
Let b = -21 + 23. Suppose 0 = 4*y - b*y - 8. Let n be (8/(-3))/(y/3 - 2). Solve 0 = -4*c - 0 - n for c.
-1
Let g = 5442 + -5428. Let n(s) = -s**3 + 5*s**2 + 8*s + 4. Let z be n(6). Solve -10*i - z = -g*i for i.
4
Let i = -14110 - -14152. Solve 40 - 418 = -i*t for t.
9
Suppose p = 2*u - 449, -494 = 4*u - 5*p - 1395. Solve -u*j + 212*j + 48 = 0 for j.
4
Let y be 690/24 - 7/(-28). Solve 34*r = y + 73 for r.
3
Let i be (16/120*(2 - 86))/((-16)/40). Solve -36 = 8*a - i for a.
-1
Suppose -27 = -3*b - 3*n, -b = b - 3*n - 8. Let s be (7 - -7)*2/b. Let z be 8/((6/s)/(18/24)). Solve z = d + d for d.
2
Suppose -10*y + 12464 = 3504. Solve 5*l + y = 871 for l.
-5
Let p = -1062 + 549. Let j = p - -516. Solve -3*m + j = -3 for m.
2
Suppose -o - 3*z + 121 = 0, 4*o + 4*z - 31 = 453. Let b = o + -115. Solve 0 - b = -3*f for f.
2
Suppose 3*n - 159 = -3*k, -287*n + 291*n = 12. Solve 13*h - 15 - k = 0 for h.
5
Suppose -4*n - 23*q - 4 = -27*q, q + 11 = -n. Let k be ((-9)/n)/(1/12). Solve k*b - 13*b + 20 = 0 for b.
-4
Let x(o) = -4*o**2 + 257 - 3*o**3 + 2*o**2 + 256 - 511 + o. Let w be x(-1). Solve 0 = w*k - 4 - 4 for k.
4
Let w = -31 - -196. Let x be 22/w - 264/(-45). Solve 20 = x*k - k for k.
4
Let c = 184 - 180. Let t be (5/(-2))/(39/(-78)). Solve -t*n = -6*n - c for n.
-4
Suppose 6*w = -0*y + 4*y - 8, -5*y = -25. Suppose -n + m + 8 = 0, -m = w*m + 3. Solve -n*c + 12*c - 5 = 0 for c.
1
Let v(c) = c**3 + 11*c**2 + 22*c + 46. Let g be v(-9). Solve 9*z - 1 = -g for z.
-1
Let p = 81186 + -81184. Let u be (0 - -3) + 0/1. Solve -p*a + u*a = -4 for a.
-4
Let j be 2/4 + 1468/40*5. Let d = 193 - j.
|
{
"pile_set_name": "DM Mathematics"
}
|
q**3 + 17*q**2 - 50*q**2 + 16*q**2 + 8*q - 1. Let a(k) = -4*k**3 - 6*k**2 + 3*k. Let o(x) = -8*a(x) + 3*u(x). What is o(-3)?
-3
Suppose 0*z - 1 = z. Let g(y) = -47*y + 52*y - 2*y + 1. What is g(z)?
-2
Let m(k) = 9 - k + k**3 + 8 - 1333*k**2 - 3*k + 1328*k**2. Determine m(5).
-3
Let b(o) = -2*o**2 + 16*o + 5. Suppose 0 = 28*m - 26*m - 5*x - 23, 5*x = -5. Give b(m).
-13
Let a(j) be the first derivative of -j**4/4 + 5*j - 5. Suppose 0*b - 5 = b, -f = -2*b - 3. Let n(i) = i**2 + 6*i - 7. Let d be n(f). What is a(d)?
5
Let b(i) = -4*i - 3. Let v be b(-2). Let r(a) be the first derivative of -a**4/4 + 5*a**3/3 - a**2 - a - 22825. Determine r(v).
-11
Let i(z) = -3*z**2 - 169*z - 1444. Let v(l) = 2*l**2 + 112*l + 964. Let h(o) = -5*i(o) - 8*v(o). Determine h(-13).
2
Let m(t) = -2*t - 19. Suppose 0 = 3*y + 4*s + 29, -y = 5*s + 829 - 823. Calculate m(y).
3
Let g be 52/65*(-10)/4. Let v be ((-3)/(-6))/((-1)/g). Let w(i) = 1 - i**2 + 1 + 0*i**2 - v. Determine w(3).
-8
Let q(l) = 62*l + 36. Let s(m) = 113*m + 73. Let r(g) = 9*q(g) - 5*s(g). Determine r(-5).
-6
Suppose 88*u + 103 + 161 = 0. Let t(q) = q**3 + q**2 - q - 4. Give t(u).
-19
Let v = -1381 - -1379. Let g(l) = -14*l + 17*l - 2 + 3 + 4*l**2. Calculate g(v).
11
Let v(i) = 28 - 6*i**2 + 11227*i + 5*i**2 - 11209*i. Calculate v(19).
9
Let f be 4 + 5 + 0 + 0/(-2). Suppose 2*h + 5 = v, -f = 4*v + h - 2. Let p(m) = -6 - m + 6*m**3 + 1 - m**2 + 4 + 0. What is p(v)?
-7
Let x(m) = 4*m**2 + 20*m + 53. Let r(a) = -13*a**2 - 63*a - 160. Let n(s) = -6*r(s) - 19*x(s). Give n(0).
-47
Suppose 0 = -5*k - 5*i, 4*k - 8*k + 2*i = -30. Suppose 0 = -k*q + 3*y + 14, -3*q - 9*y + 18 = -14*y. Let n(u) = 14*u**2 + u - 1. What is n(q)?
14
Let k be 244/(-28) + 1 + 102/(-357). Let u(b) = -b**2 - 2*b + 5. Determine u(k).
-43
Let d be (-4)/((13 - 5)/(-16)) - 24. Let r(u) = -u - 19. What is r(d)?
-3
Let c(v) = -22607*v + 22604*v + 0*v**3 - 9*v**2 - 2*v**3. What is c(-5)?
40
Let m(u) = 5*u**2 - 1. Suppose -12*h + 0*h - 36 = 0. Let n be 2/(-3)*(h/(-2) + 0). Calculate m(n).
4
Suppose -2*v + 19 = -5*u, 4 = -v + 3*u + 11. Suppose -5*p + v = -3. Let q(b) = -9*b + 7. Let g(i) = i. Let a(m) = 4*g(m) + q(m). Calculate a(p).
-18
Let d be 3*15/9*1. Suppose 2*u = -d - 7. Let p(x) = -2*x - 160. Let m(k) = 9*k + 693. Let c(n) = -3*m(n) - 13*p(n). Give c(u).
7
Let m(j) = 2 - 40*j**2 + 3*j**3 + 0 + 24*j**2 + 13*j. Let l(z) = -2*z**3 + 11*z**2 - 9*z - 1. Let r(k) = -8*l(k) - 5*m(k). Let b = 7 - 0. Give r(b).
-2
Let b(k) = 491*k**3 + 56*k**2 - 23*k + 18. Let y(t) = 344*t**3 + 38*t**2 - 15*t + 12. Let m(j) = -7*b(j) + 10*y(j). Calculate m(4).
38
Let y(d) = -d**3 + 6*d**2 - 4*d - 2. Suppose 0 = -5*f + w + 29, 212*f = 211*f + 4*w + 21. What is y(f)?
3
Let p(h) = -59*h + 38. Let c(q) = 101*q - 64. Let d(x) = -7*c(x) - 12*p(x). Give d(14).
6
Let j = -39 - -39. Let z(f) be the third derivative of f**5/60 - f**4/24 - 2*f**3/3 - 5*f**2 - 3. Calculate z(j).
-4
Let o(y) = -17*y + 4*y + 12*y - 9. Suppose -23 = -55*i - 408. Calculate o(i).
-2
Let z(w) be the second derivative of -13*w**5/20 + w**4/12 + w**3/6 + 3*w. Let b = -4588 + 4587. What is z(b)?
13
Let t(x) = -x. Let z(h) = 4*h - 8. Let g(j) = 5*t(j) + z(j). Let q(v) = 27*v**3 + 174 - 28*v**3 - 5*v**2 - 13*v**2 + 10*v. Let a be q(-18). What is g(a)?
-2
Let b(s) = 7*s + 104. Let r be -65*(51/(-45) - 16/(-12)). What is b(r)?
13
Let z(n) be the first derivative of 2*n**2 + 3*n + 281. Let y(m) = m**3 - 5*m**2 - 6*m - 5. Let u be y(6). What is z(u)?
-17
Let j(l) = l**2 + 30*l - 1077. Let n be j(21). Let c(d) be the third derivative of 0 + 1/60*d**5 + 1/4*d**4 - 1/6*d**3 + 0*d - d**2. What is c(n)?
-1
Let b(g) = 7*g**3 - 22*g**2 + 27*g - 30. Let h(w) = 3*w**3 - 11*w**2 + 13*w - 15. Suppose 0 = -12*i - 88 + 64. Let p(j) = i*b(j) + 5*h(j). Determine p(10).
-5
Let d be (-1 - (-49)/(-3))*21/(-14). Let h(p) = p**3 - 27*p**2 + 26*p - 3. Determine h(d).
-3
Let o(l) be the second derivative of 1/6*l**3 - l + l**2 + 2. What is o(3)?
5
Let n(y) = -26*y + 9*y + 25*y + 41. Determine n(-5).
1
Let n = 127544 - 127538. Let l(o) be the first derivative of o**3/3 - 3*o**2 + 4*o - 4. Give l(n).
4
Let w(p) = -17*p - 1. Suppose 4*z = -2*z + 18. Suppose -4*h + 3 + 13 = n, 0 = -z*n - 5*h + 83. Let j = -37 + n. Give w(j).
16
Suppose -287 = -29*g + 70*g. Let c(w) = -w**2 - 6*w + 1. Determine c(g).
-6
Suppose -5*z - 1 = -26. Suppose 5*j + 4*b = 29, 2*j - 34 = -b + z*b. Let y(m) = j*m**2 - 23 - 24 + 37 - m**3 - 5*m. Calculate y(8).
14
Let m be (((29 - 9)/(-5))/(-4))/((-3)/15). Let h(p) = 8*p - 12. Give h(m).
-52
Let w(j) = -8*j + 8. Let r = -84 - -120. Let d be ((-160)/96)/((-10)/r). Determine w(d).
-40
Let o(s) = -2*s**3 + 22 + 1 - 20*s**2 + 30 + 2*s - 98 + 3*s**3. Calculate o(20).
-5
Let j(u) = 26*u + 91. Let c = 4934 + -4937. Determine j(c).
13
Let y(j) be the second derivative of j**4/12 - 5*j**3/2 - 17*j**2 + j - 25. Determine y(17).
0
Let g(t) = -t**2 + 6*t. Let c = 2827 + -2823. Calculate g(c).
8
Let b(m) = -4*m**2 - 3*m - 8. Let x = -5595 - -5593. What is b(x)?
-18
Let m(a) = -a + 12. Let s(j) = 6*j - 73. Let c(q) = -11*m(q) - 2*s(q). Determine c(5).
9
Let y(l) = l**3 + 10*l**2 - 10*l + 1. Let j be -7 + (-2 + -30)/(-4). Let q be ((-9)/2 - j)*(-16)/(-8). Calculate y(q).
-10
Suppose 0 = 2*z - 4*j - 170, -3*z + 13*j - 9*j = -257. Let t(v) = 35*v + 30*v - z*v. Give t(-2).
44
Let o(z) = 3*z + 2. Let y(i) = -i**3 + 12*i**2 - i + 15. Suppose -5*r = -18 - 42. Let l be y(r). Let p = l - 5. Give o(p).
-4
Let t be 10/(-8)*432/(-90). Let n(o) = o**3 - 7*o**2 + 8*o - 16. Give n(t).
-4
Let p = -4270 + 4266. Let w(h) = 4*h**2 + 14*h - 8. What is w(p)?
0
Let z(o) be the first derivative of 24 + 0*o**3 - 1/12*o**4 + 7*o**2 + 0*o. Let q(b) be the second derivative of z(b). Calculate q(4).
-8
Suppose -4*h + 5*v + 534 = 0, h - 32 = -3*v + 93. Let o = -132 + h. Let g(l) = 3*l**3 + l**2 - 2*l - 2. Calculate g(o).
-2
Let k(d) be the third derivative of d**5/60 - d**4/4 - 8*d**3 + 3029*d**2 + 3. Give k(-4).
-8
Let s(x) = -5*x - 7. Suppose t - 4*g = -280, 256 = -2*t - 2*g - 344. Let f = 290 + t. Give s(f).
23
Suppose v + 3*n - 15 = 0, -11*v = -16*v + 3*n + 3. Suppose -4*p - 5 = v*k - 6*k, 0 = 3*p - 5*k - 10. Let j(o) = -o - 2 - 3 - 4. Give j(p).
-4
Let k(o) = 15*o + 7. Let g(u) = -10*u + 80. Let a(j) = g(j) + 3*k(j). Calculate a(-3).
-4
Let t(p) = p**3 + 39*p**2 + 41*p + 75. Let b = -505 + 467. Give t(b).
-39
Let a(u) = 96*u - 108*u + 13*u - 4. Let z(c) = -2*c - 1. Let s be z(-3). Let t = -9 + s. Determine a(t).
-8
Let k(w) = w - 8. Let o = 22514 - 22501. Give k(o).
5
Let q(l) = -l**2 + 7*l - 6. Let m be q(5). Let n(y) = -910*y + 284*y + 313*y + 314*y + 1. Determine n(m).
5
Let c(k) = -6 + 5*k**2 - 5*k - k**3 + 2*k**3 - 4*k + 7*k**2 - 20*k**2. Suppose -23*a + 25*a = 18. Give c(a).
-6
Let g = 11033 + -11036. Let t(p) = -32*p - 97. Give t(g).
-1
Let q(s) = -s**3 + 9*s**2 + 3*s + 8. Let t be ((-2)/(-3))/(1154/15579). Determine q(t).
35
Let i(t) = 3*t + t**2 + 5*t + 5 + 0. Suppose -18*s = -u - 23*s - 12, 0 = -4*u - 2*s - 30. Give i(u).
-2
Let v(o) = 30*o + 1251. Let i be v(-42). Let f(l) = l + 1. Determine f(i).
-8
Let f be ((-6)/10 - 489/(-15))/4. Let v(x) = -x**3 + 9*x**2 - 7*x. Give v(f).
8
Let d(k) = k + 4. Let v(w) = -8 + 7 - 6 - w - 20. Let u be v(-19). Calculate d(u).
-4
Suppose 0*v = v - 6. Let f(t) = 1 - 3*t + 15*t + v*t. Suppose -836 = 919*y - 132 + 215. Calculate f(y).
-17
Let g(r) = -r**3 - 11*r**2 - 4*r - 6. Suppose -81*u + 77*u = -44. Suppose u*z = 4*z - 77. Give g(z).
38
Let j(d) = d**2 + 10*d + 1. Let p(w) = -2*w. Let t(o) = 2*j(o) + 11*p(o). Let k be t(2). Suppose -i = -k*i - 25. Let x(u) = u**2 + 4*u - 5. What is x(i)?
0
Let b(z) = -z**3 - z**2 + 6*z + 2. Let r be b(-3). Let q(t) = 23 - 5*t - 2*t**r - 7 + t**2 - 11. Give q(-6).
-1
Let y(x) be the third derivative of x**5/30 - 7*x**4/24 + x**3 + 2457*x**2. Give y(6).
36
Let v(w) = -w**3 - 5*w**2 + 7*w + 8. Let o be v(-6). Suppose 6*d + 12 = -o*m + d, 0 = 3*d + 12. Let l(x) = -1 - 292*x + 150*x + 144*x. Calculate l(m).
7
Suppose -10 = -2*s + 22. Let z(y) be the first derivative of y**4/4 - 17*y**3/3 + 8*y**2 + 2*y + 146. Determine z(s).
2
Let d(s) = -6*s - 12 - 11 - 72*s**2 + 73*s**2 + 33. Calculate d(3).
1
Let u(n) be the third derivative of n**7/2520 - n**6/90 - n**5/24 - 5*n**4/24 -
|
{
"pile_set_name": "DM Mathematics"
}
|
ommon divisor of o and r.
5
Let d(b) = 4*b**2 - 3*b + 15. Let t(j) = -3*j**2 + 2*j - 15. Let g(a) = -2*d(a) - 3*t(a). Let n be g(0). Calculate the highest common divisor of 165 and n.
15
Let y(t) = -5*t - 10. Suppose 3*l + 26 = -0*v + v, 0 = l + 5*v - 2. Let d be y(l). What is the highest common divisor of d and 45?
15
Let f(b) = 9*b**3 - b**2 + b. Let r be f(1). What is the greatest common divisor of 6 and r?
3
Let i = -135 + 243. Suppose 5*t - 135 = -4*d - 0, -4*t + 3*d = -i. Calculate the highest common factor of t and 27.
27
Let f(p) = -12*p. Let o be f(-4). Suppose -50 = -5*n + 4*d, -3 = -4*n + d + o. What is the highest common factor of 28 and n?
14
Let f(o) = -3*o - 2. Let d be f(-6). Suppose 960 = -0*q + 15*q. Calculate the highest common divisor of q and d.
16
Suppose 95 = 5*v - 4*w, -4*v + 21 = 3*w - 24. What is the highest common divisor of 15 and v?
15
Let t = 15 - 9. Let v = 18 + t. What is the highest common divisor of 12 and v?
12
Let o be (-6)/(-18) + (-41)/(-3). Suppose -2*h + o = 6. What is the highest common divisor of h and 28?
4
Let w = 2 - 0. Let t(u) = -u**3 + 25*u**2 - 24*u + 22. Let f be t(24). What is the highest common factor of f and w?
2
Suppose h + 3 = 0, 0 = -2*q + 3*q + 4*h - 69. What is the highest common divisor of 9 and q?
9
Let n = 15 + -28. Let j = -8 - n. Suppose 4*l - 4 = 2*i, 1 = 3*i - j. What is the greatest common divisor of l and 10?
2
Let s be (-9)/6 + (-364)/(-8). Let f = -31 + s. Calculate the greatest common divisor of 13 and f.
13
Let r be (-1 - 3)/(-2) - (-44 + -29). Calculate the greatest common factor of r and 15.
15
Suppose -2*k + 37 = -201. Let r be 6/(-9) + (-106)/(-6). What is the greatest common divisor of r and k?
17
Let l(m) = -m**2 - 19*m + 4. Let d be l(-17). What is the greatest common factor of d and 266?
38
Let m = 2 + 9. Let a = m + 9. Calculate the highest common divisor of a and 4.
4
Let f = 53 + -26. Let k(t) = 12*t - 9. Let s be k(3). Calculate the highest common divisor of s and f.
27
Let p be (80/(-3))/((-6)/36). Let q be (-4)/(-18) - p/(-9). Suppose -36 - 131 = -3*b - g, -g - 103 = -2*b. Calculate the greatest common divisor of q and b.
18
Let p = 19 + -10. Let h(j) = -34*j**3 - j**2. Let t be h(-1). Let g = 51 - t. Calculate the greatest common factor of g and p.
9
Let q be -4*-1*(-25)/(-10). What is the highest common divisor of 10 and q?
10
Let l(a) = -11*a + 5. Let f be l(-2). Calculate the greatest common divisor of f and 9.
9
Suppose 0 = 5*f - 0*f - 10. Suppose -x + f*x = 0. Let q = x - -26. What is the highest common divisor of q and 39?
13
Suppose -17 = -2*o - 0*o + m, 37 = 4*o - 5*m. Let w = -19 + 7. Let z(v) = -v**3 - 12*v**2 + 12. Let a be z(w). Calculate the highest common divisor of o and a.
4
Let f(l) = 3*l**2 - 2*l - 5. Let j be f(-5). Calculate the greatest common factor of j and 32.
16
Let n = -186 - -321. Suppose z - 21 = 5*v, 7*z + 4*v = 4*z + 158. Let b = z - 31. What is the greatest common factor of n and b?
15
Let u = 9 - 6. Suppose u = -j + 2. Let s(g) = -49*g - 1. Let l be s(j). What is the greatest common factor of l and 32?
16
Suppose 0 = 6*v - 123 + 15. Calculate the highest common factor of 6 and v.
6
Let m be ((-42)/5)/(36/(-240)). What is the greatest common factor of m and 28?
28
Let c = -23 + 33. Suppose 4*g - 38 = -u, 0 = 7*u - 4*u + 6. Calculate the greatest common divisor of c and g.
10
Let g(i) = -9*i**3 - 2*i**2 + 1. Let b be g(-1). Suppose 40 = 5*p + 4*n, 5*p - n - 8 = 4*p. What is the highest common divisor of p and b?
8
Let u(z) = -2*z + 50. Let r be u(21). Calculate the highest common factor of 8 and r.
8
Let j be ((-4)/(-10))/(3/(-15)). Let s = 7 - j. What is the greatest common factor of s and 99?
9
Let p(z) = z + 1. Let m = 20 - 12. Let f be p(m). Suppose -3*s + 3*a + 60 = -s, 75 = 3*s + 3*a. Calculate the greatest common divisor of f and s.
9
Let w(n) = 3*n + 7. Let p be w(-5). Let o be 24 - -2*12/p. What is the greatest common factor of o and 147?
21
Let w = 87 + -51. Calculate the greatest common divisor of 90 and w.
18
Suppose 0*r = -3*m + 2*r + 1, m = 3*r + 12. Let x = 33 + m. Let a = 44 - x. What is the highest common factor of a and 14?
14
Let l = 145 - 97. What is the highest common divisor of 12 and l?
12
Let c be (-2)/3*(-6 + 3). Suppose 0 = -3*a + 37 - 7. Calculate the greatest common divisor of c and a.
2
Let y = 114 - 100. What is the highest common divisor of y and 56?
14
Let t(s) = 18*s**2 + 2*s - 1. Let u be t(-1). Suppose i = -4*i + 75. What is the greatest common factor of u and i?
15
Let o be 337/4 + (-5)/20. What is the greatest common divisor of 14 and o?
14
Suppose 7*b + 250 - 964 = 0. What is the highest common divisor of 68 and b?
34
Let v(f) = 21*f**2 - 3*f - 6. Let b be v(-3). Suppose -b = -5*s - 17. Calculate the highest common factor of s and 5.
5
Let z be -3 - (1 + -2)*2. Let r = z - -3. Let x = r + 18. Calculate the greatest common factor of 4 and x.
4
Let t(z) = 14*z + 1. Suppose 4*s - 20 = 0, -2*j + 7*j - 5*s = -20. Let p be t(j). What is the greatest common factor of 75 and p?
15
Suppose 0 = -4*l + 2*k + 110 + 200, 210 = 3*l + 3*k. Let v = -86 + 125. Let u = v + -9. Calculate the highest common factor of l and u.
15
Let l = 107 + -67. What is the highest common factor of l and 10?
10
Let m be 1*5 + (26 - 22). What is the highest common divisor of m and 3?
3
Let a = -19 - -36. What is the highest common divisor of a and 17?
17
Suppose b - 1 - 16 = 0. What is the highest common factor of b and 17?
17
Let n be (-6)/(-2)*(-60)/(-18). Suppose -k + 1 + n = 0. What is the highest common divisor of 121 and k?
11
Suppose -3*i = 3*n - 3, -3*i = -i + 4*n. Let x be (-1)/(2/(-12)*1). Let y = x + i. Calculate the highest common divisor of y and 16.
8
Let o(k) = -14*k - 2. Let l be o(-4). Let z be (3/1 - -2) + 1. What is the greatest common factor of z and l?
6
Let s(b) = b + 1. Let p be s(2). Suppose 7*g = p*g + 8. Let o(a) = 2*a**3 - 2*a**2 + a - 2. Let w be o(g). Calculate the greatest common factor of w and 8.
8
Let p = 4 - -6. Suppose 3 = 5*o + 2*q - p, -o - 19 = -5*q. Calculate the greatest common factor of 8 and o.
1
Let g be 4/14 + (-5592)/(-28). Let m be ((-6)/(-4))/(12/g). Suppose -t - 4*t + m = 0. What is the highest common divisor of 5 and t?
5
Suppose -3*g + 4*g - 3 = 0. Let o = 3 - g. Let a be 165 - (0 - o)/(-3). Calculate the greatest common divisor of 15 and a.
15
Suppose -4*h = -5*g + 421, -18 = 5*h + 2. Suppose 48 = -3*r - 4*v, -3*r - 74 + 11 = -v. Let l = r - -29. What is the greatest common divisor of l and g?
9
Let s(f) = -f**3 - 16*f**2 - 1. Let z be s(-16). Let r be 4*(-1 + z + 8). What is the greatest common factor of 264 and r?
24
Let y(q) = 20*q + 10. Let o be y(-8). Let p be (-2)/(-6) - o/9. Let w = -9 + p. Calculate the greatest common divisor of w and 1.
1
Suppose 5*a - 5 - 10 = 0. Let c be 1 + 0 - (-5 + a). Suppose -2*y + y = -2*z - 13, 0 = -c*z + 6. Calculate the greatest common divisor of 68 and y.
17
Suppose -7*u + 36 = -3*u. Suppose d = -2*d + u. Calculate the highest common factor of 6 and d.
3
Suppose -4*v + f = -28 - 21, v + 2*f = 19. What is the highest common factor of v and 13?
13
Let f(t) = 39*t + 1. Let r be f(1). Calculate the highest common divisor of r and 5.
5
Let g = 97 - -113. Let h = 24 - -6. Calculate the greatest common factor of g and h.
30
Let f be 3/(-24) + 774/48. Calculate the highest common factor of 40 and f.
8
Let c be (-21)/(-6)*80/14. What is the greatest common divisor of c and 5?
5
Let d = -181 + 198. What is the greatest common divisor of d and 136?
17
Suppose u - 49 = -13. Calculate the greatest common factor of u and 4.
4
Let j(t) = t + 9. Let w be j(-8). What is the greatest common factor of w and 4?
1
Let o be (-1 - 19/(-2)) + 8/(-16). Suppose 3*p + 2 = 4*p. Suppose u - 4*j + 6 = 0, 0 = -4*u + o*u - p*j - 18. Calculate the highest common divisor of 6 and u.
6
Suppose 2*a = -a + 5*p + 156, -5*a + 5*p = -260. What is the greatest common divisor of a and 13?
13
Let u = -117 + 197. Suppose -10 = 5*o - 6*o. What is the greatest common divisor of o and u?
10
Suppose 0 = -10*d + 13*d - 48. Calculate the greatest common divisor of 72 and d.
8
Suppose -4*t = -4*n + 1176, -5*t + 2*n = -0*t + 1461. Let r = 567 + t. Let c be 2/(-5) - r/(-15). What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose -3*u = -8714 + 2150. Let v(p) = -u*p**2 - 2 + 2179*p**2 + 2. Give v(g(q)).
-144*q**2
Let s(p) = 135*p**2. Let x(g) be the first derivative of -1/2*g**2 + 0*g + 6. Calculate s(x(f)).
135*f**2
Let m(p) = 6*p**2 + 7. Let k(l) = 5 - 5 + 8 - 9. Let h(i) = i + 6. Let s(w) = h(w) + 6*k(w). Calculate m(s(n)).
6*n**2 + 7
Let x(y) = 2*y**2. Let t(w) be the second derivative of 0*w**2 + 35/3*w**3 - 163*w + 0. Determine t(x(m)).
140*m**2
Let x(s) = 1396966*s**2 + 230*s. Let q(m) = -3*m**2. Give x(q(a)).
12572694*a**4 - 690*a**2
Let z = 10018 + -5454. Let v(k) = z*k**2 + 3 - 3 - 4561*k**2. Let s(a) = 0 - 6*a + 0. What is s(v(x))?
-18*x**2
Let y(b) = -b**3 + 6*b**2 - b + 8. Let g be y(6). Let n(w) = -22*w**g + 8*w**2 + 44*w**2. Let v(t) be the second derivative of t**3/3 - 6*t. Calculate v(n(c)).
60*c**2
Let k(c) = -319*c - 220*c - 227*c + 768*c. Let s(v) = -1092*v. Calculate s(k(p)).
-2184*p
Let p(m) = m**2 + 14. Let w(f) = -7*f + 125577. Calculate w(p(t)).
-7*t**2 + 125479
Let m(l) = -l. Let u(o) = o. Let v(x) = -4*m(x) - 2*u(x). Suppose 2*f - 9 = -g - f, 5*f + 5 = 0. Let n(c) = 3*c - g*c - 5*c. Give v(n(j)).
-28*j
Let o(j) be the second derivative of 0 + 23/3*j**3 - 12*j + 0*j**2. Let i(s) = -3*s + 2*s + 2*s**2 + s. Determine i(o(h)).
4232*h**2
Let j(w) = 17*w. Let c(m) = 13*m. Let z(s) = 391*s. Let v(r) = -119*c(r) + 4*z(r). Let k(n) = 6*j(n) - 7*v(n). Let x(g) = -8*g. Give k(x(p)).
136*p
Let b(d) = -5*d. Let t(a) = -1649*a - 20699. What is t(b(m))?
8245*m - 20699
Let d(f) = 6*f**2 + 1. Let b(y) = -49*y - 127*y + 176*y - 15*y**2. Give d(b(z)).
1350*z**4 + 1
Let t(q) = 45*q - 4 + 0 + 2. Let g(a) = -a - 7. Let j(f) = -f**2 - 2*f - 14. Let l(y) = 2*g(y) - j(y). What is l(t(b))?
2025*b**2 - 180*b + 4
Let y(b) = -6*b**2. Let q(l) = -3412157*l**2. Determine y(q(w)).
-69856892355894*w**4
Let v(n) = 3*n**2. Suppose 5*t - 10 = 5*x - 35, 0 = -5*x + 4*t + 22. Let w(m) = m**x + 113 - 54 - 57. Give w(v(d)).
9*d**4 + 2
Let z(k) = -2516*k**2 + 5161*k**2 + 3824*k**2. Let h(x) = 2*x. Determine h(z(d)).
12938*d**2
Let g(i) = -6*i - 5. Suppose -4*t + 3*r = -2, -r - 1 = t + 2. Let f(l) = 2 + 3 - 4. Let d(o) = t*g(o) - 5*f(o). Let u(m) = 3*m**2. Calculate d(u(p)).
18*p**2
Let j(b) = -8*b - 254. Let n(u) = -u + 117. What is j(n(v))?
8*v - 1190
Let t(h) be the first derivative of 121*h**3/3 - 3*h + 598. Let m(i) = -i**2. Determine t(m(c)).
121*c**4 - 3
Let j(k) = 49*k**2. Let t(r) = -r**2 - r + 7. Let q(i) = -9*i + 63. Let o(h) = 4*q(h) - 36*t(h). What is j(o(a))?
63504*a**4
Let j(c) = -8*c**2. Suppose -3*n - 51*n = 0. Let x(t) be the second derivative of 0*t**2 - 2/3*t**3 + n + 4*t. Give x(j(w)).
32*w**2
Let g(s) = 8*s. Let z(d) = 24073836*d - 111*d**2 - 24073836*d. Give z(g(m)).
-7104*m**2
Let q(l) be the first derivative of l**6/72 - 4*l**3 + 3*l + 96. Let c(u) be the third derivative of q(u). Let x(s) = -10*s**2 + s. What is x(c(d))?
-250*d**4 + 5*d**2
Let x(b) be the second derivative of -7*b**4 + b**2/2 + 138*b - 1. Let l(d) = -d**2 - 8*d + 6. Let y be l(-8). Let w(z) = -12*z + 8*z + y*z. What is x(w(r))?
-336*r**2 + 1
Let z(a) = -4*a**2. Let w(i) be the third derivative of -1169*i**4/24 - 1076*i**2 - 1. Give w(z(y)).
4676*y**2
Let v(l) = -2*l**2 + 10799*l. Let s(j) = 84*j. Determine v(s(u)).
-14112*u**2 + 907116*u
Suppose -6*a + 10 = -a. Let h(p) be the first derivative of 3*p**a - 7*p**2 + 9 + 3*p**2. Let f(t) = 6*t. Determine f(h(x)).
-12*x
Let u(g) = -g. Let s(j) be the first derivative of 400*j**3 + 516. Determine u(s(l)).
-1200*l**2
Let r(i) = 56 - 162 + 106 + 3*i. Let p(d) = 35*d + 2. Let h(s) = -139*s - 9. Let z(u) = 2*h(u) + 9*p(u). Give r(z(f)).
111*f
Let m(w) be the second derivative of -93*w**4/2 - 8*w - 31. Let v(n) = -n**2. What is m(v(l))?
-558*l**4
Let n(o) = -5*o**2 - 5*o. Let l(i) = -16*i + 20. Let j(z) = -49*z + 70. Let c(k) = -2*j(k) + 7*l(k). Calculate n(c(a)).
-980*a**2 + 70*a
Let q = -4440 - -4442. Let w(m) be the first derivative of -13 + 0*m**q + 1/3*m**3 + 0*m. Let c(b) = -b. Give c(w(d)).
-d**2
Let b(w) = -4*w - 2. Let r(z) be the second derivative of 5*z**3/6 - 3*z**2 - 88*z + 34. Determine r(b(d)).
-20*d - 16
Let p(y) = -3*y. Let d(b) = 41*b**2 - 576*b + 2. What is p(d(o))?
-123*o**2 + 1728*o - 6
Let b(f) = 0*f**2 + f**2 - 3*f**2. Let j(r) be the first derivative of -r**3/3 - 2*r + 291. What is j(b(c))?
-4*c**4 - 2
Suppose 9*y - 14*y - x = -1747, x = -y + 347. Let j(u) = -350 + 2*u**2 + 9*u**2 + y. Let i(w) = -19*w**2. Determine j(i(l)).
3971*l**4
Let v(d) be the first derivative of -1/2*d**2 + 76 + 0*d. Let i(o) = 12*o**2. Give i(v(l)).
12*l**2
Let x(r) = 4*r**2. Let w(v) be the third derivative of -55*v**4/12 + 60*v**2. Let b(o) = 7*o. Let g(q) = 33*b(q) + 2*w(q). Determine x(g(k)).
484*k**2
Let q be (-18)/(-16)*-2*-8. Let u = -443 + 465. Let f(s) = -u*s + q*s + 7*s. Let n(l) = -42*l. Determine f(n(m)).
-126*m
Let q(p) = -160*p. Let s(c) be the second derivative of c**3/3 + 2*c + 128. Determine s(q(w)).
-320*w
Let f(m) = -15 - 2*m - 11 + 98 - 14 - 58. Let t(x) = 896*x + 28. Let k(g) = 163*g + 5. Let b(z) = -28*k(z) + 5*t(z). Calculate f(b(h)).
168*h
Let m(c) = 2704*c + 56. Let t(g) = -14*g - 14. Let v(w) = -m(w) - 4*t(w). Let i(a) = a. Determine v(i(f)).
-2648*f
Let g(m) = -7*m**2. Let z be (-300 + -3)/((-3)/(3/1)). Suppose -l + z = -244. Let v(j) = 547*j - j**2 - l*j. Determine g(v(c)).
-7*c**4
Let t(g) be the third derivative of 0*g - 7*g**2 + 0*g**3 - 11/24*g**4 + 0. Let u(f) be the third derivative of -f**5/30 + 3*f**2. Calculate t(u(n)).
22*n**2
Let w(b) be the second derivative of -b**4/6 - 174*b. Let c(i) = -i. Let z(h) = -h - 1. Let l(m) = -6*c(m) + 2*z(m). Calculate w(l(u)).
-32*u**2 + 32*u - 8
Let l(d) be the first derivative of d**6/180 + 27*d**4/2 - 30*d**3 - 89. Let s(b) be the third derivative of l(b). Let i(y) = -2*y. What is s(i(g))?
8*g**2 + 324
Let s(v) = -v. Let h(y) be the second derivative of 7*y**5/30 + 49*y**2/2 + 101*y. Let f(a) be the first derivative of h(a). Give s(f(l)).
-14*l**2
Let m(c) = -204*c + 19. Let s(a) = -67*a + 6. Let o(q) = 3*m(q) - 8*s(q). Let z(h) = -75*h + 6. Let v(w) = -3*o(w) + 4*z(w). Let i(k) = 2*k. What is v(i(x))?
-144*x - 3
Let v(i) = 3*i - 15. Let j(m) = m. Let p(a) = -2*a. Let d = -409 - -407. Let f(l) = d*j(l) - 2*p(l). What is v(f(s))?
6*s - 15
Let o(u) = -2*u**2. Let p(q) = -q**2 - 19*q - 33. Let x be p(-17). Let a be (x/2)/((-2)/(-8)). Let f(c) = -a*c**2 - 137 - 139 + 276. Calculate f(o(l)).
-8*l**4
Let l(k) = k**2 + 5035*k + 2. Let u(m) = 3*m**2 - 4466. What is l(u(x))?
9*x**4 - 11691*x**2 - 2541152
Let y(i) = 23972*i**2 + 5 - 5 - 23970*i**2. Let g(t) = 14158*t. Determine y(g(u)).
400897928*u**2
Let o(q) = 7*q**2. Let m(a) be the third derivative of a**6/180 + 13*a**3/2 + 2*a**2 - 38*a. Let d(f) be the first derivative of m(f). Determine d(o(t)).
98*t**4
Let v(r) = -r**2 + 8*r + 44. Let j(h) = h**2 - 10*h - 55. Let u(a) = -4*j(a) - 5*v(a). Let s(b) = -511*b**2. What is s(u(p))?
-511*p**4
Let q(k) = 9*k. Let o(i) = i. Suppose 10 = 4*m + 18. Let s(l) = -3*l. Let n(f) = m*o(f) - s(f). What is n(q(z))?
9*z
Let m(f) = 43*f. Let j(y) = -18591683*y. Determine j(m(c)).
-799442369*c
Let b(h) = 2*h. Let v(l) = -l**2. Suppose 3*f = 104 - 392. Let n be 110/90 + (-4)/18. Let m(a) = -112*a**2. Let s(y) = f*v(y) + n*m(y). Calculate s(b(q)).
-64*q**2
Let i(z) = -2*z**2 - 49*z. Let p(w) = -30*w + 4157. Give p(i(x)).
60*x**2 + 1470*x + 4157
Let x(g) be the third derivative of -g**4/24 + g**3/6 + 3*g**2 + 4. Let i(a) = 146. Let l(f) = i(f) - 146*x(f). Let u(b) = b**2. Give u(l(h)).
21316*h**2
Let r(y) = 87*y**2. Let c(w) = -w - 6. Let g(d) = -20*d - 110. Let k(f) = -110*c(f) + 6*g(f). What is r(k(o))?
8700*o**2
Let r(j) = 197*j + 74. Let b(a) = 16*a + 6. Let x(k) = 74*b(k) - 6*r(k). Let d(o) = 382*o. Calculate x(d(f)).
764*f
Let k(u) be the second derivative of u**4/6 + 28*u. Let a(s) = s - 4. Let b(t) = -28*t + 24. Let g(c) = -6*a(c) - b(c). What is g(k(h))?
44*h**2
Let q(v) = -53*v**2. Suppose p + 3*a = 7, a = -2*p + 5*a - 16. Let n(w) = 13090*w**2. Let k(f) = p*n(f) - 495*q(f). Let d(z) = -3*z. Give k(d(c)).
495*c**2
Let y(c) be the first derivative of -c**5/60 + 7*c**3 - c**2 - 12. Let k(b) be the third derivative of y(b). Let s(j) = 4*j + 1. Give k(s(l)).
-8*l - 2
Let r(b) = -5*b**2
|
{
"pile_set_name": "DM Mathematics"
}
|
76 for q.
-79
Solve 4547*h = 541*h - 64096 for h.
-16
Solve -9157*v = -8784*v - 373 for v.
1
Solve -33*s - 17*s + 724 = -3302 + 776 for s.
65
Solve -1314*h - 108*h = -90*h - 11088 + 432 for h.
8
Solve -616*k + 134*k + 209*k - 4700 = -173*k for k.
-47
Solve 22463 = -2429*l - 220437 for l.
-100
Solve 6270 = 1347*f - 1589 - 8305 for f.
12
Solve 1696*w - 27234 + 37375 = -45827 for w.
-33
Solve 72*a = -89*a - 416 + 94 for a.
-2
Solve 3968*q + 804*q = -130*q - 2030*q + 596152 for q.
86
Solve -13245*q + 187 - 32410 = 34002 for q.
-5
Solve -9504*t = -1386273 + 350337 for t.
109
Solve 5460 = -46*l + 11836 - 5410 for l.
21
Solve -4302 - 1384 = -195*g + 749 for g.
33
Solve -2641*z - 61494 - 54717 - 2727 + 21221 = 0 for z.
-37
Solve 610 - 1007 = -337*w + 818 + 2829 for w.
12
Solve -329*y - 3747 = 253*y + 2754 + 2811 for y.
-16
Solve 74*b + 1504 = -28*b - 3290 for b.
-47
Solve 0 = 51*y + 1676929 - 1675603 for y.
-26
Solve -98*n + 3237 = -243 - 244 for n.
38
Solve 10797*m - 566*m - 1002638 = 0 for m.
98
Solve -237*x - 221*x + 654*x - 3915 = 341*x for x.
-27
Solve 1287*i + 1070*i - 9708*i - 509920 = 254584 for i.
-104
Solve 2290 - 737 - 751 = -10*l + 692 for l.
-11
Solve 87*p = 1738 - 899 - 5019 - 3041 for p.
-83
Solve -77*f = 81154707 - 81150703 for f.
-52
Solve 19*z - 33*z - 3*z + z - 816 = 0 for z.
-51
Solve -17*f + 142*f - 5*f - 7248 = 552 for f.
65
Solve -82*y = -470*y + 162*y - 365*y - 26004 for y.
-44
Solve -16508*z = -1426*z - 306051 + 626024 + 1504949 for z.
-121
Solve 443*a - 69*a = 117*a + 112*a + 10295 for a.
71
Solve -385*v + 859 = 2937 + 2157 for v.
-11
Solve 47368 = -4936*l - 332*l + 125835 + 148057 for l.
43
Solve -23275 = -231*v - 449*v + 15*v for v.
35
Solve -26600 = 654*z - 1718*z for z.
25
Solve 333*r = 122*r + 752*r - 144*r - 44464 for r.
112
Solve -46*t - 6*t = -2549 + 6085 for t.
-68
Solve -210*j = 257*j + 10277 - 937 for j.
-20
Solve -757*a + 743*a = -546 for a.
39
Solve -176*s = 360174 - 335182 for s.
-142
Solve 7193*w + 346116 = 44010 for w.
-42
Solve 8*x + 741 - 7033 = -278*x for x.
22
Solve -233*u = -889*u + 13331 + 5693 for u.
29
Solve 15*x - 924 = -130*x - 163*x for x.
3
Solve 0 = -212*v - 13*v - 134*v + 17591 for v.
49
Solve 2200*k + 81767 = 20167 for k.
-28
Solve 1950 = -429545*c + 429480*c for c.
-30
Solve 48*q - 8264 + 8840 = 0 for q.
-12
Solve 39*b + 57*b = 47*b + 58*b - 189 for b.
21
Solve 12485*z - 2391*z = 82914 + 547981 + 287659 for z.
91
Solve 984*y - 1026 + 1719 = 6 - 2265 for y.
-3
Solve 5291*v + 5442*v = 3079*v + 658244 for v.
86
Solve -810 + 1207 = -46*u - 707 for u.
-24
Solve 989 = 96*c + 2387 + 2058 for c.
-36
Solve 21998 - 10187 = -78*d - 15*d for d.
-127
Solve 64*f + 32044 - 27116 = 0 for f.
-77
Solve -828*b + 4914*b + 49005 + 159381 = 0 for b.
-51
Solve 0 = 146*p - 330441 + 331609 for p.
-8
Solve 31*p + 7826 - 5891 = -12*p for p.
-45
Solve -43*a + 59 - 2923 + 5315 = 0 for a.
57
Solve 0 = 122*s + 41*s + 316*s + 36404 for s.
-76
Solve 31*q + 203 = -1161 for q.
-44
Solve -24597 = -1485*t + 67885 - 1897 for t.
61
Solve 108*f + 494*f + 37312 = 178*f for f.
-88
Solve 0 = -395*l + 156704 - 142089 for l.
37
Solve -4*m - 956 + 965 = -3*m - 0*m for m.
9
Solve 75*s + 107*s + 22593 = -182*s - 79*s for s.
-51
Solve 3779*k = -72146 - 70756 - 114464 - 86523 for k.
-91
Solve 9607 + 6875 = 606*k - 18666 for k.
58
Solve 10015*b = 2019*b + 135932 for b.
17
Solve -28*r + 14551 = 17519 for r.
-106
Solve 0 = 248*p - 751 + 2487 for p.
-7
Solve -13*j - 38*j - 58795 = 27*j - 49357 for j.
-121
Solve 3530*l - 40961 = 336749 for l.
107
Solve -4773*k + 150388 = -1105*k for k.
41
Solve 0 = 352*h - 332*h + 200 for h.
-10
Solve -85*b = 124*b + 231*b - 17600 for b.
40
Solve 36443 = 180*m + 22943 for m.
75
Solve 8529 = -536*i - 3496 - 10788 - 14171 for i.
-69
Solve 145*a + 53960 = -40*a - 575*a for a.
-71
Solve -9182 = -1756*w + 137102 - 33900 for w.
64
Solve 116*p - 15*p - 6052 + 2214 = 0 for p.
38
Solve 1547*s + 44461 = -28424 - 9508 + 12778 for s.
-45
Solve 1070*n + 881 - 610 + 799 = 0 for n.
-1
Solve 436*x - 49*x + 1764 = -19195 - 713 for x.
-56
Solve 198*n - 141*n = -585 - 441 for n.
-18
Solve 5161*x - 2246*x = 2424*x + 73159 for x.
149
Solve 48*x = -75*x - 931650 + 949854 for x.
148
Solve -5868*o - 5401 = -430929 - 38044 for o.
79
Solve 176*k + 218*k = -10638 for k.
-27
Solve -11717903 = 307*k - 11675230 for k.
-139
Solve 227877*x - 31 + 451 = 227947*x for x.
6
Solve 313*i - 6175 - 11410 = 1619*i + 24207 for i.
-32
Solve -27*x - 17*x - 18*x = -1054 for x.
17
Solve 47*o + 101 = 148 for o.
1
Solve 590*j = 3086*j + 97344 for j.
-39
Solve 104482 - 116767 = 117*j for j.
-105
Solve 161*m + 94*m - 22547 = -4187 for m.
72
Solve 1661*d + 5310 = -301 - 4355 for d.
-6
Solve -3487*y - 3470*y = -6922*y - 2345 for y.
67
Solve 0 = -784*m - 4925 - 361 - 2382 - 6444 for m.
-18
Solve -2172*w - 19273 = 263*w + 85432 for w.
-43
Solve 1035*m + 18522 + 6331 = -6134 + 5112 for m.
-25
Solve 11480*k - 66659 - 242822 = -68401 for k.
21
Solve -78480 = 1661*j + 83*j for j.
-45
Solve -25075*m = -23346*m + 185003 for m.
-107
Solve 4549 = 1429*r - 29747 for r.
24
Solve -2345*a = -450*a - 2229 - 12931 for a.
8
Solve 1778*r + 1758*r + 1815 = 3569*r for r.
55
Solve -86*o - 885 - 24252 = -485*o for o.
63
Solve 1474 - 295 = 2437*b - 2385*b - 2305 for b.
67
Solve 1209*u - 2297 - 869 = 2587 + 292 for u.
5
Solve -4907 + 111076 = -1522*l + 10879 - 11250 for l.
-70
Solve -1170*s + 525 + 7431 = 52416 for s.
-38
Solve -5500 = 33*r - 12137 + 5647 for r.
30
Solve 245714*r = 245735*r - 1176 for r.
56
Solve 2825 = -183*d + 629 for d.
-12
Solve -7875 = 75*w + 47*w - 297*w for w.
45
Solve 646381*x - 15045 = 646558*x for x.
-85
Solve 4808 + 29570 = 1616*t - 33494 for t.
42
Solve 379*b + 624*b = 27068 + 17064 for b.
44
Solve -197 + 66 = -41*j + 361 for j.
12
Solve -62140 = 473*o + 593*o - 15236 for o.
-44
Solve 28*j = -24*j - 146*j + 21978 for j.
111
Solve 0 = -32*v + 677158 - 673926 for v.
101
Solve -498*b - 3655 - 320 = -924 + 1431 for b.
-9
Solve 8332 + 17671 = 1291*k - 8854 for k.
27
Solve -1466 + 1095 - 1194 = -223*i + 3341 for i.
22
Solve 22*p + 58 = -p + 12 for p.
-2
Solve -123*c = -392*c - 379*c + 43416 for c.
67
Solve -367*w + 49494 = 944*w - 133 - 2813 for w.
40
Solve 728*p + 547*p = 418*p - 46278 for p.
-54
Solve -11*p - 342*p + 16302 = 76*p for p.
38
Solve 202*a - 1819*a = 103488 for a.
-64
Solve -201*g + 26509 = 325*g + 15*g for g.
49
Solve -64 = -27*m - 38*m + 2 + 194 for m.
4
Solve -174*p - 2994 - 13746 = 486 for p.
-99
Solve 8312*u - 439403 = 533101 for u.
117
Solve -55*b - 27*b - 4340 = 8*b - 28*b for b.
-70
Solve 4319 - 6778 = -97*h - 6727 for h.
-44
Solve -100415 - 18303 = -5324*m + 115538 for m.
44
Solve -30*y - 111608 + 111248 = 0 for y.
-12
Solve 75*i - 103*i - 321*i = 698 for i.
-2
Solve -3993 = -482*b + 361*b for b.
33
Solve -64*c + 1384 + 2248 = 558 - 1150 for c.
66
Solve 5514 = -173*w + 25*w - 4140 + 2698 for w.
-47
Solve 1292*w + 25224 = -1291*w + 1984*w - 2929 for w.
-47
Solve -1687*f + 15*f - 533763 = 9007*f - 608*f for f.
-53
Solve -603*m - 1531*m = 73096 - 4808 for m.
-32
Solve 1173*k - 986*k - 1086*k = -8091 for k.
9
Solve 13677*d + 13679*d - 27357*d = 24 for d.
-24
Solve 4*o + 13*o + 377 = -642 + 271 for o.
-44
Solve 317*w - 2087 + 15401 = 0 for w.
-42
Solve 21 = -11*c - 108 - 25 for c.
-14
Solve 0 = -4368*p + 4820*p + 15820 for p.
-35
Solve -2400*v = -24043 - 71957 for v.
40
Solve -1162*g + 187045 = 513*g + 911*g + 73261 for g.
44
Solve 292*q + 53 - 36 + 575 = -868 for q.
-5
Solve 566 + 109 = -0*k - 15*k for k.
-45
Solve 0 = -38*v - 19557257 + 19557827 for v.
15
Solve 92366*l = 92156*l - 13020 for l.
-62
Solve 2149*f = 24646 - 261036 for f.
-110
Solve 12955*r - 4966*r + 9328*r = 2493648 for r.
144
Solve 166880 = -285*d + 173435 for d.
23
Solve 30207 - 62463 + 28384 = 121*t for t.
-32
Solve -1842*v + 6371*v = -511777 for v.
-113
Solve -3463*i - 2218 - 887 = -3328*i for i.
-23
Solve 21*a + 12116 = -236*a + 24*a for a.
-52
Solve -55256 + 3693 = -1173*n - 482*n + 11327 for n.
38
Solve -47935*n + 47415*n = -5200 for n.
10
Solve 627*i + 67452 = -131*i - 118*i for i.
-77
Solve 54*t = 2079*t + 58725 for t.
-29
Solve -66*a - 1792*a + 158554 + 107140 = 0 for a.
143
Solve 1276*v + 1246*v + 1222*v - 4295*v + 10469 = 0 for v.
19
Solve -1724*g - 323 + 983 = -1704
|
{
"pile_set_name": "DM Mathematics"
}
|
{k: 1, u: 1, w: 1}.
1/6
Calculate prob of sequence ff when two letters picked without replacement from fffffvfvf.
7/12
Four letters picked without replacement from {p: 3, y: 17}. What is prob of sequence ypyp?
4/285
Three letters picked without replacement from {i: 1, u: 1, c: 1, r: 1, p: 1}. Give prob of sequence uir.
1/60
What is prob of sequence gxe when three letters picked without replacement from {x: 3, g: 15, e: 2}?
1/76
Calculate prob of sequence zk when two letters picked without replacement from {o: 1, z: 1, t: 2, x: 8, k: 2}.
1/91
Two letters picked without replacement from {c: 1, r: 1, b: 2, y: 2, t: 1, n: 7}. What is prob of sequence nt?
1/26
Calculate prob of sequence puuo when four letters picked without replacement from {a: 4, o: 4, u: 4, p: 1, d: 7}.
2/4845
Three letters picked without replacement from {j: 1, x: 1, f: 1, c: 1, u: 1}. Give prob of sequence xuc.
1/60
What is prob of sequence aav when three letters picked without replacement from {k: 2, q: 2, w: 1, v: 2, a: 5, d: 1}?
10/429
Two letters picked without replacement from bbpppkpuuppppkbbkbp. What is prob of sequence pb?
5/38
Two letters picked without replacement from {t: 1, q: 1, h: 9, m: 5, y: 1}. Give prob of sequence qh.
9/272
Three letters picked without replacement from {t: 9, q: 7}. What is prob of sequence ttq?
3/20
What is prob of sequence cg when two letters picked without replacement from ufufczgggfzcczgfu?
3/68
What is prob of sequence tu when two letters picked without replacement from utabwbj?
1/42
Three letters picked without replacement from {r: 2, f: 1, t: 2}. Give prob of sequence frt.
1/15
Calculate prob of sequence dxqx when four letters picked without replacement from ccddqbxddbdccdxdcd.
1/4590
Calculate prob of sequence stw when three letters picked without replacement from {t: 2, w: 1, s: 11, g: 1, i: 3}.
11/2448
Three letters picked without replacement from {u: 5, r: 2}. What is prob of sequence uur?
4/21
Calculate prob of sequence kjjk when four letters picked without replacement from kjjjkk.
1/10
Two letters picked without replacement from ssspsmmsrsspizsm. Give prob of sequence sz.
1/30
Calculate prob of sequence mwk when three letters picked without replacement from {m: 1, k: 5, w: 1, z: 3}.
1/144
Two letters picked without replacement from {d: 5, r: 3, m: 5, s: 2}. What is prob of sequence md?
5/42
Calculate prob of sequence ii when two letters picked without replacement from xmmiihmgmhmhimhhxmx.
1/57
Calculate prob of sequence jjrr when four letters picked without replacement from {r: 5, j: 2, v: 3}.
1/126
Three letters picked without replacement from uzqdduzuuduu. What is prob of sequence uzu?
1/22
Two letters picked without replacement from {n: 4, m: 1, p: 5, d: 2, h: 2}. Give prob of sequence ph.
5/91
Three letters picked without replacement from oiiiiooioooioiii. Give prob of sequence ioo.
9/80
Calculate prob of sequence lt when two letters picked without replacement from lto.
1/6
What is prob of sequence igg when three letters picked without replacement from {i: 13, g: 6}?
65/969
What is prob of sequence gggg when four letters picked without replacement from {g: 5}?
1
Four letters picked without replacement from ddddd. Give prob of sequence dddd.
1
Three letters picked without replacement from {p: 3, u: 7}. What is prob of sequence uuu?
7/24
Calculate prob of sequence sz when two letters picked without replacement from {z: 2, s: 3}.
3/10
What is prob of sequence zuzu when four letters picked without replacement from {z: 7, u: 7}?
21/286
Two letters picked without replacement from kekkkkkkkkkkkkekkkk. What is prob of sequence ek?
17/171
Three letters picked without replacement from {i: 1, d: 1, w: 1, y: 3, n: 1}. What is prob of sequence dyw?
1/70
What is prob of sequence yep when three letters picked without replacement from {e: 1, y: 10, p: 1, f: 7}?
5/2907
Two letters picked without replacement from {p: 18, r: 1}. What is prob of sequence pr?
1/19
What is prob of sequence xtx when three letters picked without replacement from mxxtt?
1/15
Four letters picked without replacement from {n: 3, z: 1, i: 6, e: 1, g: 6}. Give prob of sequence nnez.
1/9520
Three letters picked without replacement from {q: 2, n: 1, o: 2, r: 1, s: 1, e: 1}. What is prob of sequence nqo?
1/84
Calculate prob of sequence tyb when three letters picked without replacement from bybbbbkbxktyyb.
1/104
Calculate prob of sequence mv when two letters picked without replacement from {c: 1, m: 3, u: 2, t: 1, v: 6}.
3/26
Two letters picked without replacement from ududuuuduuuu. What is prob of sequence dd?
1/22
Two letters picked without replacement from {c: 1, n: 1, y: 3}. What is prob of sequence ny?
3/20
Two letters picked without replacement from {a: 1, y: 4, o: 6, h: 3}. Give prob of sequence oo.
15/91
Two letters picked without replacement from {s: 2, m: 4, i: 4, n: 5}. What is prob of sequence ns?
1/21
Three letters picked without replacement from eeeeceeeeeece. Give prob of sequence eec.
5/39
What is prob of sequence eg when two letters picked without replacement from egjls?
1/20
What is prob of sequence cc when two letters picked without replacement from {o: 3, c: 13}?
13/20
What is prob of sequence qsgs when four letters picked without replacement from gsgssqggsggqsqgqqgqq?
28/2907
What is prob of sequence tpte when four letters picked without replacement from {p: 8, t: 2, e: 5, l: 1}?
1/546
What is prob of sequence ccc when three letters picked without replacement from {l: 2, c: 8, g: 8}?
7/102
Three letters picked without replacement from {r: 3, x: 1, c: 2, a: 1, j: 4}. Give prob of sequence raj.
2/165
Two letters picked without replacement from {c: 1, b: 2}. Give prob of sequence bc.
1/3
What is prob of sequence tzmj when four letters picked without replacement from jzmmt?
1/60
What is prob of sequence pzp when three letters picked without replacement from {z: 9, p: 7}?
9/80
Four letters picked without replacement from mpmmlykbylmlly. What is prob of sequence ymbm?
3/2002
Three letters picked without replacement from {e: 9, p: 3}. What is prob of sequence epp?
9/220
Two letters picked without replacement from wwccccwcwcww. What is prob of sequence cw?
3/11
Calculate prob of sequence mjk when three letters picked without replacement from {j: 4, c: 1, k: 1, m: 1, a: 2}.
1/126
Two letters picked without replacement from {m: 5, r: 5, y: 4, b: 1}. What is prob of sequence yb?
2/105
Calculate prob of sequence gv when two letters picked without replacement from {g: 3, v: 6, o: 8}.
9/136
Calculate prob of sequence fli when three letters picked without replacement from {l: 1, k: 2, g: 2, m: 5, i: 5, f: 2}.
1/408
Two letters picked without replacement from vevhejbbbjejjheeeev. What is prob of sequence vj?
2/57
Three letters picked without replacement from yycrkfkyycyccfyfcc. Give prob of sequence kkr.
1/2448
Calculate prob of sequence gbb when three letters picked without replacement from nnmnbmbnmnngnbnmnmnb.
1/570
Two letters picked without replacement from {g: 1, j: 1, y: 1, w: 1, b: 1}. What is prob of sequence wg?
1/20
Calculate prob of sequence nbbt when four letters picked without replacement from tnbebetnbaaba.
2/715
What is prob of sequence yz when two letters picked without replacement from udzym?
1/20
Two letters picked without replacement from {f: 3, g: 3}. What is prob of sequence gg?
1/5
Three letters picked without replacement from wssytt. What is prob of sequence yyw?
0
What is prob of sequence bzvv when four letters picked without replacement from bnvnvkkkkzkvuvbvvvvk?
14/14535
What is prob of sequence vvvv when four letters picked without replacement from bvbbbbbvvbvv?
1/99
Two letters picked without replacement from zwlwnfw. What is prob of sequence wz?
1/14
What is prob of sequence sahs when four letters picked without replacement from {s: 4, k: 5, a: 1, h: 1, g: 3}?
1/2002
What is prob of sequence bjku when four letters picked without replacement from uqiuujjqbjbqjqbjuk?
1/1224
What is prob of sequence ur when two letters picked without replacement from ruuuuruuu?
7/36
Three letters picked without replacement from qdjzb. Give prob of sequence jdz.
1/60
What is prob of sequence zll when three letters picked without replacement from {z: 3, g: 5
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3, -5*c + 8*c + 16 = 2*h. Let m(q) = 3*q + 4. What is h*m(p) - 5*w(p)?
-3*p + 1
Let t(d) be the second derivative of d**4/8 - 2*d**3/3 - 4*d**2 - 15*d. Let p(z) be the first derivative of t(z). Let f(v) = 6*v - 9. Give 6*f(m) - 13*p(m).
-3*m - 2
Let m(v) = 22*v + 2*v**2 - 18*v - v**2 + 4 - v. Let b(h) = -h**2 - h - 1. Let g = 3 + 0. Give g*b(k) + m(k).
-2*k**2 + 1
Let t(f) = -163*f**3 + 3*f**2 + 6*f - 2. Let m(d) = 325*d**3 - 7*d**2 - 14*d + 5. Give -3*m(y) - 7*t(y).
166*y**3 - 1
Let n(j) = 4*j**3 + 5*j**2 - 4*j. Let w(l) = 3*l**3 + 4*l**2 - 3*l. Suppose 3*i = 6*i - 54. Suppose -16*m = -7*m + i. Calculate m*n(k) + 3*w(k).
k**3 + 2*k**2 - k
Let b = -5 - -8. Let j = 6 + -14. Let p(c) = -13*c + 9. Let y(s) = -11*s + 10. Let u(m) = -4*p(m) + 5*y(m). Let q(n) = -n + 5. Calculate b*u(t) + j*q(t).
-t + 2
Let w(t) = 4*t**3 - 9*t**2 + 7*t + 6. Let k(m) = 5*m**3 - 10*m**2 + 8*m + 7. Let j be 130/18 + 22/(-99). Give j*w(a) - 6*k(a).
-2*a**3 - 3*a**2 + a
Let s(o) = 58*o**3. Let z(i) = 4756*i**3. What is 493*s(u) - 6*z(u)?
58*u**3
Let n(g) be the second derivative of -g**4/12 + g**3/6 - g**2/2 - 2*g + 32. Let w(m) = -4*m**2 - 10 + 6*m + 5 - 3. Give -6*n(v) + w(v).
2*v**2 - 2
Let b(s) = -38*s + 63. Let q(i) = 12*i - 22. Determine -3*b(z) - 8*q(z).
18*z - 13
Let j(o) = 20*o - 70. Let r(h) = -9*h + 35. Determine 2*j(p) + 5*r(p).
-5*p + 35
Suppose -3*l = -4 + 1. Let i(c) = c**2 + 1. Let o(a) = -5*a - 2. What is l*o(z) + 2*i(z)?
2*z**2 - 5*z
Let c = -2465 + 2459. Let p(o) = 7*o**2 - 20. Let n(y) = 13*y**2 - 39. Calculate c*n(b) + 11*p(b).
-b**2 + 14
Let j(l) be the second derivative of -l**4/4 - 5*l**3/6 + 13*l**2 + 225*l. Let g(w) = 2*w**2 + 3*w - 17. Give -8*g(i) - 5*j(i).
-i**2 + i + 6
Let m(y) = -y. Let o(i) = -11*i. Let d be 9*(20/80)/(3/(-4)). Determine d*o(q) + 24*m(q).
9*q
Let d(m) = -m**3 - m**2 + 5*m - 7. Let r(y) = 2*y**3 + y**2 - 6*y + 8. Determine 6*d(h) + 5*r(h).
4*h**3 - h**2 - 2
Let c(n) = n**3 + n**2 + 5*n. Let u(b) = -22*b**2 - 2*b - 7. Let t(y) = -13*y**2 - y - 4. Let q(v) = 5*t(v) - 3*u(v). What is -c(d) + q(d)?
-d**3 - 4*d + 1
Let y(z) = -2*z**2 + 3*z + 4. Let k(p) = -2*p**2 + 4*p + 3. Let d(q) = -q**2 + 3*q. Let a(l) = 2*d(l) - 3*k(l). Determine 2*a(x) + 5*y(x).
-2*x**2 + 3*x + 2
Let d(m) = -55*m**3 + 8*m**2 + 2*m + 2. Let i(u) = -111*u**3 + 20*u**2 + 5*u + 5. Calculate -5*d(y) + 2*i(y).
53*y**3
Let l(u) = 14*u - 22. Let a(x) = -41*x + 59. Give -4*a(o) - 11*l(o).
10*o + 6
Let t(s) = 0 + 15 + 19*s - 5 + 5. Let d(v) = -9*v - 7. Let u be 2/((8/(-52))/1 + 0). Give u*d(q) - 6*t(q).
3*q + 1
Let i(k) = -4. Let q(g) = g - 5. Let m be ((-80)/(-140))/(2/21). Calculate m*i(p) - 5*q(p).
-5*p + 1
Let b(w) = 6*w**3 - 22*w**2 + 13*w + 13. Let i(n) = -3*n**3 + 10*n**2 - 6*n - 6. Determine 6*b(h) + 13*i(h).
-3*h**3 - 2*h**2
Let a(n) = -13*n - 2. Let i be (-5)/(((-45)/(-30))/((-6)/4)). Let y(c) = 13*c + 2. Calculate i*y(r) + 4*a(r).
13*r + 2
Let m(q) = 13*q + 16. Let f(d) = -4*d. What is 3*f(z) + m(z)?
z + 16
Let y(a) = -2*a + 41. Let m(n) = -n + 41. What is -5*m(s) + 4*y(s)?
-3*s - 41
Let s(c) = 2*c**2 - 2*c - 2 - c**3 + 2*c**3 + 0 - 4*c**3. Let g(f) = -13*f**3 + 9*f**2 - 9*f - 8. Calculate -2*g(d) + 9*s(d).
-d**3 - 2
Let k(a) = -7*a**2 + 3*a. Let f(w) = 24*w**2 - 10*w. Let i(x) = -2*f(x) - 7*k(x). Let p(n) = -n**2 + n. Give 3*i(h) + 5*p(h).
-2*h**2 + 2*h
Let q(a) = -8*a**3 + 2*a**2 + a - 2. Let l(p) = -16*p**3 + 5*p**2 + 3*p - 5. Let y(r) = -r**2 + 16*r + 15. Let c be y(17). What is c*l(k) + 5*q(k)?
-8*k**3 - k
Let l(b) = -2*b + 4. Let i(v) be the first derivative of 2*v**2 - 9*v + 474. Suppose 0*a + 6 = 3*a. Determine a*i(s) + 5*l(s).
-2*s + 2
Let l(v) = -v**2. Let y(x) = 4*x**2 + 2*x + 8. Let c(m) = -4*l(m) + y(m). Let p(z) = -7*z**2 - 2*z - 7. Suppose 22*s - 62 - 70 = 0. What is s*p(i) + 5*c(i)?
-2*i**2 - 2*i - 2
Let j(y) = -2*y**3 + 106*y**2 + 3*y - 154. Let n be j(53). Let i(k) = -5*k**3 + 5*k**2 + 5*k. Let t(f) = -f**2 - f. What is n*t(w) + i(w)?
-5*w**3
Let h(y) = y**2. Let p(g) = -18*g**2 + 11*g + 20. Let w(x) = -9*x**2 + 6*x + 11. Let f(n) = 6*p(n) - 11*w(n). Calculate -f(v) - 5*h(v).
4*v**2 + 1
Let s(w) = -507*w - 8. Let j(b) = -169*b - 3. Determine 11*j(m) - 4*s(m).
169*m - 1
Let u(q) = -24*q - 7. Let v(l) = 72*l + 19. What is 8*u(r) + 3*v(r)?
24*r + 1
Let k(s) = -16*s**3 + 10*s + 1. Let g(u) = 18*u**3 + u**2 - 12*u - 1. What is 4*g(f) + 5*k(f)?
-8*f**3 + 4*f**2 + 2*f + 1
Let o(x) = 11*x**2 + 5. Let t(v) = 11*v**2 + 5. What is 2*o(q) - 3*t(q)?
-11*q**2 - 5
Let q(r) = 5*r + 3. Let c = -131 - -127. Let u(v) = 1. Determine c*u(o) + q(o).
5*o - 1
Let j(v) = -18*v**2 + 2*v + 1. Let r(t) = 92*t**2 - 11*t - 4. What is 11*j(h) + 2*r(h)?
-14*h**2 + 3
Let f(j) = 9*j**3 - 7*j**2 - 5*j. Let m(u) = -u**3 + u**2. Calculate 2*f(t) + 14*m(t).
4*t**3 - 10*t
Let n(q) = -11*q**2 + 32*q - 10. Let c(r) = -20*r**2 + 64*r - 19. Give -6*c(o) + 11*n(o).
-o**2 - 32*o + 4
Let a(k) = 10*k - 4. Let f(v) = -13*v + 5. Let u(w) = -4*a(w) - 3*f(w). Let b(l) = -21*l + 14. Determine b(x) - 14*u(x).
-7*x
Let x(a) = -5*a**2 + 6*a + 114. Let o(h) = -h**2 + h. Give 4*o(k) - x(k).
k**2 - 2*k - 114
Let a(z) = -4*z - 3. Let x be (1/(-2))/(5/20). Let d(p) = 5*p + 2. Determine x*d(j) - 3*a(j).
2*j + 5
Let x = 8 + -30. Let b(a) = 17*a + 2. Let s(t) = 8*t + 1. Let c(g) = -6*b(g) + 13*s(g). Let m(f) = -4 + 8 + 7*f + 0. Give x*c(h) + 6*m(h).
-2*h + 2
Let w(u) = -17*u**2 + 6*u - 6. Let h(l) = 220*l**2 - 77*l + 77. Suppose -4*k = 2*c - 2*k - 164, -c = 5*k - 102. Give c*w(t) + 6*h(t).
11*t**2
Let i(q) = 7*q**2 - 9*q. Let b(p) = 4*p**2 - 5*p. Calculate 5*b(d) - 3*i(d).
-d**2 + 2*d
Let x(b) = -26*b**2 - b + 68*b**2 - 41*b**2 + 1. Let w(v) = -v**2 + 0*v - 4*v + 4*v**2 + 2. Calculate w(d) - 2*x(d).
d**2 - 2*d
Let h(k) = k**3 - 4*k - 4. Let x(o) = -o**3 + 5*o + 5. Let u be (-8 - (-105)/10)/((-2)/4). What is u*h(c) - 4*x(c)?
-c**3
Let d(y) = -4*y**3 - 2*y**2 - y - 10. Let b(g) = 5*g**3 + 3*g**2 + g + 9. What is 2*b(o) + 3*d(o)?
-2*o**3 - o - 12
Let z(q) = 10*q**3 - 3*q**2 + q + 3. Let j(l) = 29*l**3 - 8*l**2 + 3*l + 9. Give 3*j(k) - 8*z(k).
7*k**3 + k + 3
Let g(n) = 3*n**3 + 8*n**2 + n. Let i(k) = 2*k**3 + 5*k**2 + k. Determine 4*g(j) - 7*i(j).
-2*j**3 - 3*j**2 - 3*j
Let b(r) be the third derivative of -18*r**2 + 0*r - 5/24*r**4 - 7/6*r**3 + 0. Let h(y) = 6*y + 8. Let i = 3 - 10. Calculate i*b(m) - 6*h(m).
-m + 1
Let g(p) = -2*p**3 + 4*p**2 + 4*p + 10. Let s(v) = v**2 + v - 1. Calculate -g(b) + 2*s(b).
2*b**3 - 2*b**2 - 2*b - 12
Let t(q) = q - 2. Let z(i) = -4*i - 14. Give 4*t(x) - z(x).
8*x + 6
Let h(b) = -18231*b**3 - 413*b**2. Let m(i) = -177*i**3 - 4*i**2. What is -4*h(w) + 413*m(w)?
-177*w**3
Let z(u) = 7*u**3 - 4*u**2 - 4*u. Suppose -96*p + 82*p = 42. Let f(m) be the first derivative of 3*m**4/2 - m**3 - 3*m**2/2 - 2. Calculate p*z(s) + 4*f(s).
3*s**3
Let g(p) = -p**3 - p**2 - 1. Let b(w) = 11*w**3 - 2*w**2 - 17. Determine -b(d) + 2*g(d).
-13*d**3 + 15
Let m(x) = 3*x**2 - 6*x + 12. Let w(s) = s**2 - s. What is m(a) - 4*w(a)?
-a**2 - 2*a + 12
Let b(j) = -72*j - 1589. Let w be b(-22). Let o(n) = -3*n + 4 + n + 2. Let c(s) = 2 + 3*s - 5*s + 3. Give w*c(q) + 4*o(q).
2*q - 1
Let a(h) = -12*h**2 + 11*h + 2. Let n(s) = -2*s**2 - 2*s + 1. Determine a(o) - 4*n(o).
-4*o**2 + 19*o - 2
Let a = 8 + -9. Let l be ((-44)/(-10))/(1/(-5)). Let h = -18 - l. Let y(d) = d**3 - 1. Let f(q) = 2*q**3 - 4. Calculate a*f(u) + h*y(u).
2*u**3
Let r(k) = 16*k. Suppose -5 = -5*b + l + 4*l, 3 = 4*b - 5*l. Let p(j) = 8*j. Determine b*r(m) - 5*p(m).
-8*m
Let v(k) = -8*k**2 + 7*k + 16. Let j(r) = 15*r**2 - 12*r - 31. Let x(l) = -5*j(l) - 9*v(l). Let u(b) = 2*b**2 + 2*b - 7. What is 8*u(s) + 5*x(s)?
s**2 + s - 1
Let i be (45 - (-5 + 4))/2. Suppose 3*v = 34 + i. Suppose -4*b - 1 = v. Let g(h) = -2*h**2 - 2*h + 1. Let k(a) = 4*a**2 + 4*a - 3. Give b*g(y) - 2*k(y).
2*y**2 + 2*y + 1
Let f(p) = 3*p**3 - 4*p - 5. Let j(d) = d**3 - 2*d - 2. Let l(c) = -2*c**3 + 4*c**2 - 2*c - 1. Let b be l(2). Determine b*j(o) + 2*f(o).
o**3 + 2*o
Let s = -31 + 36. Let f(h) be the second derivative of 0*h**2 + 1/3*h**3 + 0 + s*h. Let j(a) = a. Give 2*f(z) - 2*j(z).
2*z
Let x(i) = 13*i**3 + 3*i**2 - 48*i - 15. Let j(y) = -20*y**3 - 5*y**2 + 72*y + 24. Give -5*j(o) - 8*x(o).
-4*o**3 + o**2 + 24*o
Let h(r) = 5*r**3 + 7*r**2 - 7. Let k(x) = 5*x**2
|
{
"pile_set_name": "DM Mathematics"
}
|
(-260)/(-325)*(-30)/4.
-6
Calculate 2*(1/4)/(28/224).
4
What is (-45)/15*3/(6/2)?
-3
Calculate (-2)/10*87/29.
-3/5
What is (-5)/(-20)*3/(-6)?
-1/8
((-56)/(-42))/(1*(-8)/(-30))
5
Evaluate 6/10*(-115)/(-23).
3
(3/((-6)/4))/17
-2/17
What is (8/56)/((-3)/(-28))?
4/3
Calculate (-9)/(-16)*(-1)/(12/(-8)).
3/8
Calculate 2/50*1*45/18.
1/10
Calculate ((-3)/12)/(4/6).
-3/8
What is ((-2)/(-9))/((2/3)/(-1))?
-1/3
What is ((-2)/6)/((-3)/18*3)?
2/3
Evaluate 2/((-12)/(-15)*(-35)/14).
-1
What is the value of ((-21)/196)/(27/(-72))?
2/7
Calculate ((-8)/(-32))/(15/(-12)).
-1/5
Evaluate (-3)/(-9)*(-5)/((-10)/(-1)).
-1/6
((-1)/(-2))/(2/6)
3/2
Calculate (3/105*-6)/(2/(-5)).
3/7
Calculate 540/(-162)*6/4.
-5
Evaluate ((-6)/(-22))/(96/(-32)).
-1/11
(12*7/(-210))/((-8)/(-10))
-1/2
Evaluate (-6)/8*2*485/8730.
-1/12
Calculate (-6)/(-10)*100/120.
1/2
What is the value of ((-2)/(-3))/(2/(-12))?
-4
Evaluate (((-231)/22)/21)/((-2)/(-8)).
-2
Calculate ((-12)/16*(-2)/3)/2.
1/4
What is (-2)/((-9)/(-6)*-2)?
2/3
What is the value of (-22)/165*2*50/16?
-5/6
What is ((-2)/6)/((-9)/135)?
5
(-68)/(-238)*(-28)/16
-1/2
What is (-172)/43*(-1)/(-1)?
-4
3/4*324/(-243)
-1
What is the value of (-12)/(-36)*(-1)/(-3)?
1/9
What is the value of (-6)/(-3)*3/((-24)/4)?
-1
Calculate ((-8)/1248*6)/(3/6).
-1/13
-5*-1*-4*2/(-8)
5
Evaluate (-6)/4*18/9.
-3
What is (36/(-63))/((-1)/7)?
4
(6/2)/(18/3)*4
2
Calculate ((-2)/(-4))/(2/(-4)).
-1
Calculate 4/(-3)*(-7)/(56/6).
1
What is ((-23)/(-2))/(-23)*14?
-7
Calculate (24/(-8)*(-4)/(-15))/(-2).
2/5
Calculate (31/(-217))/(2*1/4).
-2/7
What is the value of (-4)/(-11)*51/34?
6/11
Evaluate (15/125*-2)/((-4)/10).
3/5
Calculate (5/(-3))/(45/(-54)).
2
Calculate 37/74*4*(-2)/2.
-2
What is the value of (-2)/(-28)*12*63/(-9)?
-6
What is (11/(-55))/((-12)/(-15))?
-1/4
(4*(-5)/50)/(2/20)
-4
(9/(-3))/(-5*(-12)/(-4))
1/5
Calculate ((-15)/(-20))/((-4)/((-32)/15)).
2/5
Evaluate (12/9)/(510/(-45)).
-2/17
0/((54/6)/9)
0
((-2)/3)/((-7)/21*-13)
-2/13
Calculate (8/(-32))/((70/7)/5).
-1/8
Calculate (84/(-165))/(-7)*(-5)/1.
-4/11
What is the value of (-5)/(-5)*(-11)/55?
-1/5
Evaluate (-1)/4*((-660)/(-11))/(-5).
3
(-5*(-8)/60)/(1/9)
6
Evaluate (-18)/(-63)*(-28)/12.
-2/3
What is the value of ((-6)/(-9))/(2/(-15))?
-5
Calculate (6/(-15))/(5/((-5)/(-2))).
-1/5
What is the value of ((-45)/(-36))/(5/60*-3)?
-5
What is the value of ((-13)/(-39))/((-4)/72)?
-6
What is the value of 0/(-3)*(-3)/(-6)?
0
(7*(-4)/(-224))/(1/6)
3/4
((-27)/(-18))/(7/(-42))
-9
Calculate ((-4)/(-70))/(3/(-15)).
-2/7
What is the value of (-1)/(-6)*0*5/35?
0
Evaluate (-9)/(27/2)*9/33.
-2/11
What is the value of (-4*4/(-208))/((-2)/(-4))?
2/13
What is the value of 2/((-15)/((-90)/4))?
3
What is (((-78)/(-20))/(-13))/((-6)/4)?
1/5
What is the value of (18*1/63)/((-2)/(-2))?
2/7
(-49)/(-147)*0/(-2)
0
What is -3*(-3)/(-36)*4/(-7)?
1/7
-13*20/(-130)*(-2)/4
-1
Calculate (-936)/702*(-2)/8.
1/3
Evaluate 3/(-2)*2*(-84)/(-36).
-7
Calculate ((-5)/(210/4))/(165/(-495)).
2/7
What is (6/2)/(-12)*40/35?
-2/7
What is the value of ((-21)/4)/(-3)*210/(-735)?
-1/2
Calculate (-3)/((-16)/((-48)/(-15))).
3/5
Calculate 10/((-110)/(-121))*1.
11
(((-12)/(-27))/1*3)/(-2)
-2/3
What is the value of (-94)/(-47)*(-10)/4?
-5
What is 10/(-12)*564/94?
-5
What is the value of (-30)/270*12/10?
-2/15
(-22)/(-165)*20*3
8
((57/(-2))/19)/9
-1/6
What is (-136)/(-68)*3/1?
6
Calculate (84/105)/((-28)/20).
-4/7
((-2)/(-4))/(((-14)/(-4))/7)
1
What is 12/4*(-4)/12?
-1
What is (8/(192/8))/(-1)?
-1/3
Evaluate (-4)/((-64)/(-24))*-2.
3
Calculate 98/21*17/34.
7/3
Calculate (2/(-3))/(22*13/(-78)).
2/11
Evaluate (1/(-2))/((-6)/(216/6)).
3
Calculate 12/(-8)*1/(-3).
1/2
Calculate (((-12)/(-30))/(-2))/(2/10).
-1
Evaluate (-2)/7*(-3)/18*-14.
-2/3
What is (9/((-108)/(-32)))/((-4)/6)?
-4
Evaluate 12/(432/(-18))*-2*1.
1
(6/(-16))/((-57)/228)*6
9
Calculate (-16)/12*4/(16/(-6)).
2
(-32)/(-48)*-12*(-3)/6
4
What is ((-1)/3)/(69/(-46))?
2/9
What is the value of (5*(-12)/(-10))/2?
3
((-2)/36)/(((-15)/(-12))/5)
-2/9
Calculate -1*(0/5)/1.
0
Evaluate 5/2*16/(-8).
-5
Calculate (-24)/9*6/(-4).
4
Evaluate 10/(-6)*(-12)/16*-4.
-5
Calculate (3/(-25))/((4/20)/(-1)).
3/5
(-1688)/(-633)*2/(4/6)
8
Evaluate ((-2)/(-28))/((-6)/12).
-1/7
Calculate (-1)/((5/35)/((-2)/(-14))).
-1
What is the value of (189/(-54))/(1/1)?
-7/2
(-36)/(-15)*65/(-26)
-6
What is the value of (4/2)/(6/(156/13))?
4
(-142)/(-71)*1/(-14)
-1/7
Evaluate 4*((-90)/(-160))/(-3).
-3/4
What is the value of 10*((10/(-4))/5)/1?
-5
Calculate (18/96)/((-3)/4).
-1/4
What is the value of 1*3*(18/(-9))/2?
-3
7*16/(-1512)*-6*1
4/9
Evaluate 0/4*7/14*-2.
0
What is the value of (-1)/((-18)/(-6)*5/(-60))?
4
(20/15)/(6/18)
4
Calculate -1*(-4)/(-24)*3.
-1/2
Evaluate (-56)/(-98)*7*(-4)/(-152).
2/19
What is the value of 9/(5/10*3)?
6
Calculate 13/26*8/(-6).
-2/3
(2/(-1))/((-8)/(-2))
-1/2
Calculate ((-15)/(-6))/((-225)/(-15)).
1/6
Evaluate 2/2*-2*(-10)/(-4).
-5
Calculate -6*5/30*-1.
1
What is (30/8)/((-186)/(-248))?
5
(-6)/(-24)*(-8)/(-44)*-4
-2/11
Evaluate (-4)/(-2)*(-23)/299.
-2/13
Calculate -4*5/(30/3).
-2
(-13)/13*3/((-174)/(-4))
-2/29
Calculate (12/15)/(42/(-21)).
-2/5
What is -6*5/(-225)*-1?
-2/15
What is the value of (5/(-10))/((-20)/(-24))?
-3/5
((-6)/4)/((-6)/20*1)
5
Calculate 0/(((-2)/10)/((-3)/15)).
0
Evaluate (6/(-6))/((-4)/16).
4
What is (3/6)/(4/24)?
3
Evaluate (-3)/9*1*0/4.
0
Evaluate -10*(-2)/15*-1.
-4/3
What is the value of (3/(-1))/((-3)/(-9))?
-9
((-126)/12)/(45/6)
-7/5
Calculate ((-20)/(-45))/((-5)/(15/(-6))).
2/9
Evaluate (-70)/(-168)*3/(-15).
-1/12
What is the value of (6/8)/((-2691)/552)?
-2/13
What is the value of ((-1)/4)/(20/160)?
-2
(-6)/(-12)*-9*(-8)/(-6)
-6
What is ((-12)/14)/((-18)/(-9))?
-3/7
(378/504)/(((-15)/12)/(-5))
3
(-9)/(-12)*(-5)/(60/(-8))
1/2
-18*12/(-81)*6/(-4)
-4
Calculate (3/7)/((-3)/((-2)/(-2))).
-1/7
(-1)/((-3)/(-1))*(-30)/(-5)
-2
What is (((-12)/4)/1)/(-2)?
3/2
Evaluate 5/(-1*(-4)/(-8)*2).
-5
What is (0*3/6)/((-4)/2)?
0
What is the value of (-1)/(1/2)*309/(-1545)?
2/5
What is the value of ((-2)/18)/((52/24)/13)?
-2/3
Evaluate 1/((-72)/(-6)*3/12).
1/3
What is the value of (9/(-2))/1*28/42?
-3
Evaluate 10/(-4)*8/20.
-1
-3*3/9*5
-5
What is 6/(-10)*(-3)/72*10?
1/4
Evaluate ((-5)/(-2))/(235/376).
4
Evaluate (-10)/14*9/15.
-3/7
Evaluate 2/2*((-12)/6)/2.
-1
Calculate (-2)/6*5/(-15).
1/9
(65/234)/((-5)/(-4))
2/9
What is (-3)/6*16/8*8?
-8
What is the value of 8/20*5/3?
2/3
Calculate (-5)/2*(30/(-25))/(-1).
-3
Evaluate (-110)/176*(-32)/(-4).
-5
What is the value of ((-6)/16*1)/(6/(-2))?
1/8
(-3)/((36/15)/4)
-5
Evaluate (-18)/(-12)*(-16)/12.
-2
8/(-100)*2*20/4
-4/5
Evaluate ((36/15)/4)/(189/70).
2/9
Calculate 6/(-7)*((-560)/(-15))/(-8).
4
Calculate 5*(-48)/40*-1.
6
Calculate (45/(-2))/15*4/(-14).
3/7
30/(-15)*4/64*-2
1/4
Calculate (-4)/(-4)*(24/90)/(-2).
-2/15
Evaluate (-84)/105*(70/4)/7.
-2
Evaluate (4/(-20))/((-2)/20)*1.
2
(-1)/(-15*1/(-3))
-1/5
Evaluate (-3)/42*2*10/(-5).
2/7
Evaluate 2/((32/(-56))/(8/(-4))).
7
What is (-3*5/(-15))/(-3)?
-1/3
What is ((-6)/9)/(7/(-42)*4)?
1
Evaluate (-1)/(9/(-24)*(-24)/(-18)).
2
What is ((24/(-14))/2)/(6/(-2))?
2/7
What is -3*(-28)/2730*-15?
-6/13
What is (6/(-45))/((-2)/6)?
2/5
Calculate (12/14)/(126/63).
3/7
(-18)/(-12)*(-28)/(-6)
7
What is ((-12)/15)/((-24)/(-20))?
-2/3
What is 14/(-3)*198/132?
-7
Evaluate (2*-2)/((-60)/(-60)).
-4
Evaluate (2/36)/(((-2)/(-1))/8).
2/9
What is -2*1*(-5)/10?
1
What is the value of ((-48)/40)/((-21)/(-35))?
-2
Calculate ((-33)/11)/(((-3)/(-1))/3).
-3
Evaluate (-6)/4*11/((-33)/(-8)).
-4
What is (-15)/420*-14*8/(-10)?
-2/5
Calculate (-24)/252*3*6/4.
-3/7
What is (-2)/(-2)*-2*(-73)/(-146)?
-1
(-14)/(-28)*(-24)/(-6)
2
(-260)/936*8/10
-2/9
Evaluate (-4)/((-40)/(-10))*-2.
2
(45/20)/(30/(-4))*2
-3/5
Calculate 0/(1*6/2).
0
Evaluate (99/(-18))/11*0/4.
0
Evaluate ((-30)/15)/(-17*1/(-1)).
-2/17
Evaluate ((-76)/(-95))/(-1*(-3)/(-30)).
-8
3/15*-3*(-16)/(-12)
-4/5
((-25)/10)/(30/(-36))
3
8/4*1*(-1)/5
-2/5
Calculate ((-17)/(-85))/((-6)/5).
-1/6
Calculate ((-4)/3)/(34/3).
-2/17
Calculate 6*(-235)/94*(-2)/10.
3
4/(-8)*0/3
0
Calculate ((-24)/18)/((-15)/(-9)).
-4/5
What is ((-6)/(-45)*9)/(-3)?
-2/5
What is (6/(-4))/((-10)/(-20))?
-3
What is (-2)/((-1)/((-4)/(-24)))?
1/3
Evaluate 1/3*16/((-256)/60).
-5/4
1/(-1)*1*2/2
-1
Calculate 413/(-177)*(-8)/(-42).
-4/9
C
|
{
"pile_set_name": "DM Mathematics"
}
|
- 223*v + 27856 = 0. What are the prime factors of v?
2, 1741
Let o = 48 + 175. Suppose 0 = -5*p - 3 + o. What are the prime factors of p?
2, 11
Suppose 36 = 10*x - 114. Let h(d) = 13*d + 56. What are the prime factors of h(x)?
251
Suppose 0 = -8*z + 9 + 7. List the prime factors of z + -4 + -1 + 48.
3, 5
Let f be (-3)/(0 + (1 - (-135)/(-138))). Let q = -14 - f. List the prime factors of q.
2, 31
Let r(t) = t**2 - 3*t - 14. Suppose -2*w = 4*i + 14, -3*i - i = -w - 13. What are the prime factors of r(w)?
2, 47
Suppose -122 = 3*s - s. Let w be (1 - s)*15/30. Let x = 3 + w. What are the prime factors of x?
2, 17
Suppose 2043 = 3*r - 3*h, 4*h + h = 3*r - 2039. Let m = -485 + r. List the prime factors of m.
2, 3, 11
Let g = -3625 - -6403. What are the prime factors of g?
2, 3, 463
Suppose 3028 = 13*g - 16849. List the prime factors of g.
11, 139
Suppose 41 = 2*l + 117. Let s = 82 + l. What are the prime factors of s?
2, 11
Let s be 4 - (-3 + 0 - -2)/(-1). Suppose -a - 166 = -s*a. What are the prime factors of a?
83
Let p(a) = 477*a - 45. What are the prime factors of p(3)?
2, 3, 7, 11
Suppose 3*t = -5*q + 1399 + 237, t = q + 540. List the prime factors of t.
2, 271
Let p(c) = -c**2 + 16*c + 1. Let j be 2/5 + (-56)/(-10). Let g(y) = -y**3 + 7*y**2 - 3*y - 4. Let f be g(j). What are the prime factors of p(f)?
29
Let q be (1 + -1)/(3 - 2). Suppose q = 3*w - 12. Suppose 0 = -w*j - 4*v + 124, 0 = -3*j - 3*v + 5*v + 83. List the prime factors of j.
29
Suppose 0 = g + 4*v - 1070, 5*g - 61*v = -60*v + 5308. List the prime factors of g.
2, 3, 59
Suppose 2*i + 26 = -2*j, -2*i + 3*i + 22 = -2*j. List the prime factors of (81/j)/(1 - (-14)/(-13)).
3, 13
Let f(m) = -m**3 + m**2 + 1. Let o be f(0). Let j(w) = -2*w**2 + w - 1. Let d be j(o). List the prime factors of (d/4)/(9/(-558)).
31
Suppose -44*c - 2808 = -46*c. What are the prime factors of c?
2, 3, 13
What are the prime factors of (-8)/(-4*(-1)/(-148))?
2, 37
Let y = 465 + -105. What are the prime factors of y?
2, 3, 5
Let b(i) = i**3 + 5*i**2 - 17*i - 14. Let m be b(6). Let d = -134 + m. What are the prime factors of d?
2, 73
Let w = 1007 + -408. What are the prime factors of w?
599
Let k(m) = m**2 - m + 349. Let r be k(0). Suppose 81 = -4*d + r. What are the prime factors of d?
67
Let s(h) = -h**3 + 8*h**2 - 9*h + 16. Let q be s(7). Suppose q*z - 210 = -z. List the prime factors of z.
2, 5, 7
Let f be 0 + 0*(2 + -3 + 2). Suppose -3*y + 191 = -8*y + 4*w, 2*w = -y - 27. Let p = f - y. List the prime factors of p.
5, 7
Let d = 6840 + -4738. What are the prime factors of d?
2, 1051
Let q = -179 - -1012. List the prime factors of q.
7, 17
Let c be 52/12 - (-1)/(-3). Suppose -286 = c*s - 1046. List the prime factors of s.
2, 5, 19
What are the prime factors of 3 + 3 + -1 + 1563?
2, 7
Let b be 100/(-6)*3/(-2). Suppose 2*x - 77 = -5*a, x + 4*a - 68 + b = 0. Let f = x - 22. List the prime factors of f.
3
What are the prime factors of (-143 + -1)/(13/5 - 3)?
2, 3, 5
Suppose 0 = q - 6*q - 5. Let x(l) = -l + 4. Let f be x(4). What are the prime factors of (-3 + -6)*(q + f)?
3
Let y(x) = -x**2 - 2*x - 2. Let a = -26 - -22. Let t be y(a). What are the prime factors of 3 + t/5 - -25?
2, 13
Suppose -2*m = m + 51. Let c = 27 + m. Suppose -4*f + c = f. What are the prime factors of f?
2
Suppose 0 = 31*f - 20627 - 3925. What are the prime factors of f?
2, 3, 11
Let w(v) = 4*v - 4. Let h = -15 + 17. Let q be w(h). Let g(l) = 3*l + 6. List the prime factors of g(q).
2, 3
Let p be 4 - ((-3 - 0) + 3). Suppose -2*b = -p*c + 148, -148 = -0*c - 4*c - 3*b. List the prime factors of c.
37
Let p be (28/49)/((-6)/(-63)). Let z(y) = 3 - 2*y + 10*y + p*y. List the prime factors of z(3).
3, 5
Let u(a) = -56*a + 621. What are the prime factors of u(-57)?
3, 31, 41
Suppose -j - 5*c = -24, -5*j + 3*c + 5 = -3. Suppose 5*t = 2*d - 162, -2*d + 182 = j*t + t. List the prime factors of d.
2, 43
Let u be (-328)/28 + 4/(-14). Let i = -13 - u. What are the prime factors of (18 - i) + -12 + 15?
2, 11
Suppose 5*l = 8*l + 4*o - 1222, -3*o + 1227 = 3*l. List the prime factors of l.
2, 3, 23
Let t(z) = 18*z + 8. Let k(s) = -18*s - 8. Let w(j) = 4*k(j) + 3*t(j). List the prime factors of w(-2).
2, 7
Suppose 3*h + 2*d = 22, 4*d - 16 = 2*h - h. Suppose h*t - 213 - 127 = 0. List the prime factors of t.
5, 17
What are the prime factors of (-2)/3*(3/(-1) - 1332)?
2, 5, 89
Let f be (-87)/(-6) - 6/4. Let i = -14 + f. List the prime factors of 9*(3 - 0) - i.
2, 7
What are the prime factors of (-102050)/(-250) - (-4)/5?
409
Let x(l) = 36*l - 1. Suppose 0 = a + 5*i + 14, 3*a + i = -i + 10. Suppose 2 = -a*b + 8*b. List the prime factors of x(b).
5, 7
Suppose b - 142 = -3*d, 4*d - 132 = -b + 7. List the prime factors of b.
151
Suppose -3*r = -9 - 0. Suppose r*m - 4*m + 39 = 0. Let p = 85 - m. List the prime factors of p.
2, 23
Let i(m) = -320*m - 49. List the prime factors of i(-5).
3, 11, 47
Let g be 1/(-3) - (-80)/15. Suppose 12 + 3 = 3*c - g*i, -4*c + 5*i + 15 = 0. Suppose -2*d + 4*m = 7*m - 29, c = -4*d - 4*m + 60. List the prime factors of d.
2
Suppose 59*c = 62*c - 471. Suppose 0 = -5*z + 5, w - c = -z + 5*z. What are the prime factors of w?
7, 23
Suppose -152 = -3*y - n, 27 + 37 = y - 3*n. Suppose 3*c - y - 305 = 0. List the prime factors of c.
7, 17
Suppose 2*u = 5*m + 4505, 2294 = u + 4*m + 74. Suppose -v + u = 9*v. What are the prime factors of v?
2, 7
Let b(f) be the second derivative of -f**3/3 - 5*f**2/2 + 17*f. What are the prime factors of b(-4)?
3
Suppose -3*b - 115 = -541. List the prime factors of b.
2, 71
Let f be 49/(42/6) - 3*1. What are the prime factors of f/12 + (-284)/(-3) + 4?
3, 11
Let c(k) = 271*k**3 + 8*k + 2 - 7*k**2 - 272*k**3 - 2*k. Let m = -2 + -6. List the prime factors of c(m).
2, 3
Suppose -12*f + 45 + 399 = 0. List the prime factors of f.
37
Let r(m) = m**3 + 8*m**2 + 10*m + 15. Let j be r(-7). What are the prime factors of -36*(9/j + -1)?
2, 3, 5
Let q be 1/4 - 831/(-4). Let x = q - 88. Suppose -a + 5*a = x. What are the prime factors of a?
2, 3, 5
Let z = -813 + 1456. List the prime factors of z.
643
Suppose -4*z = 2*a - 104 + 30, -4*z + 132 = 4*a. What are the prime factors of a?
29
Let t(n) = -n**3 - 6*n**2 + 13*n + 17. List the prime factors of t(-11).
479
Suppose b - 4 + 25 = v, -102 = -5*v + 2*b. List the prime factors of v.
2, 5
Let m(b) = 156*b**3 + b**2 - 1. Let j be m(1). Suppose -w - 2*n + j = n, 5*n + 290 = 2*w. Suppose -5*p + w = -2*p. List the prime factors of p.
2, 5
Let y = 2359 - 892. What are the prime factors of y?
3, 163
List the prime factors of 5/((-20)/(-6222)) - (-3)/2.
3, 173
Suppose 5*u = -3*b + 9946, -b - 39 = 2*u - 3356. List the prime factors of b.
3307
Suppose g - 2 = -4*n - 0, -3*n = -g + 37. Suppose 2 = -4*t + g. Suppose -2*m - h = -101 + 12, -4*m + 175 = t*h. List the prime factors of m.
3, 5
Suppose 3*f - 1320 - 99 = 0. What are the prime factors of f?
11, 43
Let h(r) = r**3 - 17*r**2 + 23*r + 13. What are the prime factors of h(17)?
2, 101
Let c be (-9)/(2*(-6)/(-200)). Let q = c - -39. Let g = -79 - q. What are the prime factors of g?
2
Suppose -5*v + 3264 = -4*f, 3*f = 5*v - 3174 - 94. List the prime factors of v.
2, 41
Suppose -3*t - 505 + 5749 = 2*v, 0 = 2*v - 6. What are the prime factors of t?
2, 3, 97
Suppose -2*a + 16 + 60 = 0. Let z = 24 - a. What are the prime factors of z/(-3) + 5/15?
5
Let k(f) = -f**2 - 2*f - 34. Let u = 12 - 12. Let b be k(u). Let x = b - -64. List the prime factors of x.
2, 3, 5
Let g = -11 + 13. Suppose -g*c = -4*c - 2. Let y = 4 - c. List the prime factors of y.
5
Suppose -16*s + 30124 - 268 = 0. List the prime factors of s.
2, 3, 311
Suppose 0*d - 1971 = -9*d. What are the prime factors of 4/(-6) + d/18*10?
11
Let o = 311 - 140. List the prime factors of o.
3, 19
Let q(n) = n**3 - 5*n**2 + 3*n + 6. Suppose -5*h - 5*c + 53 - 3 = 0, -4*c = 5*h - 46. What are the prime factors of q(h)?
2, 3, 5
Let o = -12 - -9. Let q(j) = j**2 - j + 1. Let s(h) = h**2 - h. Let r(w) = q(w) + 2*s(w). What are the prime factors of r(o)?
37
Suppose -3*a - 4*b + 186 = 0, -4*b = -3*a - 3*b + 201. Suppose -2*o + 4*q = -80 - a, -5*o - 3*q = -313. What are the prime factors of o?
5, 13
Let f(w) = -3*w**3 + 7*w**2 - 15*w + 71. List the prime factors of f(-10).
3, 1307
Suppose 7*d +
|
{
"pile_set_name": "DM Mathematics"
}
|
descending order.
v, 3, -34
Let r = 201/19 - 2249/209. Put r, 5, -0.6 in ascending order.
-0.6, r, 5
Suppose p - 15 = -2*p. Let u be (1 - 7/5)/((-209)/(-359480)). Let f = u + 679. Put -4, p, f in ascending order.
f, -4, p
Let v = 2 + -2. Let z be -3*((-664)/72)/(4/120). Let d = 825 - z. Put 5, d, -4, v in decreasing order.
5, v, -4, d
Let i = 35 + -72. Suppose 26*q - 540 = -20. Let l = q + i. Sort 0.5, l, 0.
l, 0, 0.5
Suppose 2*l - 1 = -9. Let z = 99 + -97. Let j(a) = a**3 - 3*a**2 + 7*a - 9. Let s be j(z). Put l, s, 2 in increasing order.
l, s, 2
Let h be 1 + (4 - 3)/(-3). Let z = 3.1321 - -0.0379. Let y = 0.17 - z. Put y, h, 0.3, -1/4 in increasing order.
y, -1/4, 0.3, h
Let r be (12/10)/(1 - 3). Let x = 14 + -2. Let d = -0.64446 - -0.14446. Put -1/9, x, d, r in descending order.
x, -1/9, d, r
Let x = -0.1 - -0.4. Let u = 175.9 + -176.2. Put u, x, -18 in decreasing order.
x, u, -18
Let b be 14/6*6 - 7. Let a be 1*(277 + -2)/1. Suppose b*h = -4*h + a. Sort -2/7, 2/13, h, 0.5 in ascending order.
-2/7, 2/13, 0.5, h
Let h(i) = -i**2 + 11*i - 15. Let m = 3 + 7. Let r be h(m). Sort r, -4, 9 in increasing order.
r, -4, 9
Let c = -7391 + 7386. Sort 1, 5, c, 2, -6 in increasing order.
-6, c, 1, 2, 5
Let p = -1441 + 885. Let t = p - -556.1. Sort t, -3, 60, -3/8.
-3, -3/8, t, 60
Let h = 432 - 477. Let o = -47 + 88. Let d = h + o. Put -0.2, -5/4, d, 0.1 in descending order.
0.1, -0.2, -5/4, d
Let m = -5599/16806 - 1/5602. Sort -2, 5, m, 2/5, 3/71 in decreasing order.
5, 2/5, 3/71, m, -2
Let v = 2.1 + -0.97. Let y = 1.43 - v. Sort y, -0.5, -15, -2 in descending order.
y, -0.5, -2, -15
Let w = 52 + -37. Suppose 151*o = 23*o - 512. Sort 3, w, 1, o in increasing order.
o, 1, 3, w
Let o = 7549 + -7547.49. Sort o, -0.07, -2/11 in increasing order.
-2/11, -0.07, o
Let h = -0.03474 + 6.03474. Put -1, 2/3, h, -0.4, -2 in descending order.
h, 2/3, -0.4, -1, -2
Suppose -29*l = 11*l - 40. Let k = 4.9 + -4.4. Sort k, l, 1/3.
1/3, k, l
Let b = -140836/1445 - -1462/15. Let t = b - -1712/9537. Sort -2/3, 4, -41, t in descending order.
4, t, -2/3, -41
Let w = -1571.4 - -1571. Let z be ((-24)/32)/(6/2). Sort 2, w, -19, z in ascending order.
-19, w, z, 2
Let k = -13.534 + 14.034. Let q = -8 + 11. Put k, q, -1 in decreasing order.
q, k, -1
Suppose -5*j = -4*v - 56, -5*v = -6*j + 9*j + 107. Sort -4, v, -1.
v, -4, -1
Let c = 3.059 + -0.059. Suppose 3*z = 6*z - 138. Let p = 51 - z. Put 0.4, p, c, 0.5 in ascending order.
0.4, 0.5, c, p
Let l = -3 + 2. Suppose 4*p + 133 - 222 = 5*r, 4*p = -23*r - 163. Suppose 5*q + 15 = -0*q, 2*c - 4*q = 8. Sort l, c, p in increasing order.
c, l, p
Let f = 29903 + -29907. Put 97, f, 21 in increasing order.
f, 21, 97
Let b = 39949/199770 + 1/39954. Put 1, 2, 3, b, 2/7 in ascending order.
b, 2/7, 1, 2, 3
Let o be (-6120)/(-544)*4/(-18)*6. Let v = 4 + -3. Sort o, v, -2/15 in descending order.
v, -2/15, o
Suppose 5 = 3*h - 2*v, -3137*h = -3136*h + 3*v - 20. Put h, -2, -104, -4 in descending order.
h, -2, -4, -104
Let i(x) = 14*x**2 + 304*x + 1442. Let j be i(-7). Let o = -2 + 23. Suppose 2*s = 3*t - 4*t + 9, -t + 4*s = o. Sort j, -6, t in decreasing order.
j, t, -6
Let y = 1465/10206 - 1/1458. Sort -1/3, -0.2, -0.036, 2/19, y.
-1/3, -0.2, -0.036, 2/19, y
Let s(i) = 5*i - 59. Let k be s(11). Suppose -f - 2*f - h - 9 = 0, 0 = 2*f - h + 11. Let r be 3*f/(-24)*-2. Sort k, r, -2 in ascending order.
k, -2, r
Let k be ((-2)/(-7))/(26/455). Put -0.2, 2/11, 1/3, k in ascending order.
-0.2, 2/11, 1/3, k
Let r(h) = -10*h + 145. Let n be r(14). Let j be 0 + -4 - -4 - n. Put 4, -128, j in ascending order.
-128, j, 4
Let b = -75 + 77. Suppose 12 - b = l - 5*f, 3*l - 2*f - 17 = 0. Let c = -171 + 173. Sort c, 4, l in ascending order.
c, 4, l
Let t = -1502 + 1499. Sort t, -55, -0.6 in increasing order.
-55, t, -0.6
Let o = -22779 + 20442. Put -3, 4, -1, o in descending order.
4, -1, -3, o
Let y = 658 + -656.555. Let l = -0.445 + y. Suppose 0 = -0*t + 4*t - 12. Sort l, t, 4, 0 in descending order.
4, t, l, 0
Let p = -77614 + 77610. Suppose 4 = -2*c + 8. Let m = 15 - 24. Put c, p, m in increasing order.
m, p, c
Suppose -20 = 19*s - 24*s. Let t(y) = -y + 10. Let h be t(0). Suppose -7*a = -h*a + 21. Sort -2, 5, a, s in decreasing order.
a, 5, s, -2
Let p = 103 + -75. Suppose -4*z - 3*k = z + 3, 0 = 4*z - 4*k + p. Suppose l + 5*m + 30 = 5, -3*m = 4*l + 32. Sort z, 1, l in descending order.
1, z, l
Let a(j) = 57 + 10*j**2 - 5*j**2 - 4*j**2 - 16*j. Let y be a(11). Sort y, -1, 4 in descending order.
4, y, -1
Let n = 1007259799/4057 - 248277. Put -1, n, -0.3 in ascending order.
-1, -0.3, n
Suppose 8 = -o + 5*o. Suppose -2*d + 10 = 5*l - 10, o*d + 12 = 3*l. Put 1, l, -19 in descending order.
l, 1, -19
Let r = -0.138793 - -0.338793. Let a = 5 + -5.3. Let x = -3 + 3.1. Put r, a, x in decreasing order.
r, x, a
Suppose -346 = 5*k - 2*c, -3*k - c = -4*k - 68. Let v = k - -1886/27. Sort -0.2, 5, v, -0.5.
-0.5, -0.2, v, 5
Let m be (-6)/9*6/(-2). Let y be (20/15)/(-4) - (5/3 - -4). Put y, 1, -5, m in descending order.
m, 1, -5, y
Let g = -276 + 126. Sort g, 0.3, 0.5, -0.1.
g, -0.1, 0.3, 0.5
Let t = -2087 + 2086.5. Put t, 2/7, 1, -2, 19 in increasing order.
-2, t, 2/7, 1, 19
Let i = 3930 + -3930.2. Let c = 2/111 - -101/555. Let v be ((-2)/5)/(6/(-10)). Put i, 4/3, c, v in decreasing order.
4/3, v, c, i
Let a(b) = 77*b - 9431. Let n be a(122). Sort 1, 119, n in descending order.
119, 1, n
Suppose -5*i = 4*n - 57 - 5, 2*i - 4*n - 36 = 0. Suppose 2*c + i = -0*x + 3*x, 2*x + 4*c - 4 = 0. Sort x, 15, 0 in decreasing order.
15, x, 0
Let d(l) = -12*l + 74. Let h be d(4). Let u be (-1)/(2/18*-3). Put -5, u, h in decreasing order.
h, u, -5
Let z(l) = 350*l - 2104. Let x be z(6). Suppose -2*c - h + 1 = 10, 0 = -3*c - 4*h - 26. Sort -2/21, x, c in descending order.
-2/21, c, x
Suppose -y = -4*s - 11, 4*s - y = -4*y - 15. Suppose 626 + 154 = -l - 155*l. Sort 40, 2, l, s.
l, s, 2, 40
Let z = -229 - -356. Let x = z + -130. Let b be ((-2)/3)/((-125)/(-75)). Sort b, 5, x, -0.02.
x, b, -0.02, 5
Suppose 2*j + 5*v + 33 = 0, -4*j + 5*v + 2 = -7. Suppose 0 = -4*s - q + 4, -3*q = 4*s - 17 + 21. Put s, j, -2, 0 in increasing order.
j, -2, 0, s
Let l = 116 - 43. Let a = l - 75. Sort a, 0.13, 0.4 in increasing order.
a, 0.13, 0.4
Let i = -126.3 - -126. Let f = 23 - 18. Suppose f*z - 9 = 1. Sort z, 0.02, i in increasing order.
i, 0.02, z
Let r = 1/3193 - -261823/9579. Sort 3, 0.2, r in ascending order.
0.2, 3, r
Let z = 243 + -256. Let s = z - -10. Let h be (-2)/4 - 1/(-2). Put h, 5, s, -5 in increasing order.
-5, s, h, 5
Let g = -46 + 12. Let r(l) = -2*l**2 - 6*l + 7. Let w be r(-6). Let s = w - g. Put s, 1, -5 in ascending order.
-5, 1, s
Let m = 2450 - 2445. Put -2/25, -6, m in decreasing order.
m, -2/25, -6
Let f(n) = -n**2 - 258*n - 6837. Let u be f(-30). Let j be -6 + (1 - 0)*1. Sort 1, 5, u, j in descending order.
5, u, 1, j
Let a be ((-1)/(-28))/((2/(-7))/((-528)/(-462))). Put -0.3, -2, -6, 1, a in decreasing order.
1, a, -0.3, -2, -6
Let y = 41 + -37. Let v = -0.04 - 0.02. Let q = 1618/5173 + -20/739. Put -1/8, q, v, y in increasing order.
-1/8, v, q, y
Let n be -81 - -79 - (0 - 4). Let w(i) = -i**2 - 2*i - 3. Let d be w(-2). Put n, d, -5, -4 in decreasing order.
n, d, -4, -5
Let h be (-4 + 90/27)/((-16)/(-6)). Sort h, -15.7, -0.3, 1.
-15.7, -0.3, h, 1
Suppose 37 = -5*l + 2*i + 185, 0 = 5*l - i - 154. Sort -2, -1, l in increasing order.
-2, -1, l
Let b = 87398 - 87399. Let r(v) = -2*v - 5. Let g be r(-9). Sort g, b, -2 in decreasing order.
g, b, -2
Let b(f) = -2*f**3 - 11*f**2 + 9*f + 85. Let r be b(-4). Let i be -2*4 + 1 + -1. Let g = i + 39/5. Sort g, -2, r in ascending order.
-2, g, r
Let i = 16956.95 + -16957. Sort -3, -5/3, i, 1/3, 3/2 in increasing order.
-3, -5/3, i, 1/3, 3/2
Suppose -u + 1 = -2. Suppose -3*c = -u*k + 12, -4*k + 15 = -4*c + k. Let o = -23839 + 23837. Put -3, -1, c, o in increasing order.
c, -3, o, -1
Suppose i - 5*f = 26, 0 = 2*i + 2*f + f - 52. Let w be 78/(-12)*-8*(-1)/2. Let p = w + i. Sort p, 5, 1 in increasing order.
p, 1, 5
Suppose 0 = -d + q - 3, 7 = 3*d - q + 10. Sort -12, d, 115.
-12, d, 115
Suppose 18*f - 46 - 42 = -16. Suppose 2*a + 4*b - 4 = 2, -2*a + 5*b = 3. Put 6, a, 5, f in descending order.
6, 5, f, a
Let b(s) be the third derivative of -s**6/30 - 13*s**5
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{
"pile_set_name": "DM Mathematics"
}
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y(l) = a*c(l) - 2*w(l). Factor y(f).
-2*f*(3*f + 1)
Let g(s) = -7*s**3 - 12*s**2 - 21*s - 7. Let z(v) = -3*v**3 - 6*v**2 - 11*v - 4. Let j(x) = -4*g(x) + 9*z(x). Factor j(d).
(d - 8)*(d + 1)**2
Factor -1/2*j**5 - j**2 + 0*j**4 + 2*j**3 - 3/2*j + 1.
-(j - 1)**3*(j + 1)*(j + 2)/2
Let b be (((-9)/252)/((-1)/(-12)))/(-2 - -1). Solve b + 4/7*d + 1/7*d**2 = 0.
-3, -1
Let i(j) be the third derivative of -j**7/140 + j**6/80 + 3*j**5/20 + j**2 + 10. Determine r so that i(r) = 0.
-2, 0, 3
Let c(o) be the first derivative of -9*o**6/2 - 6*o**5/5 - 24. Factor c(j).
-3*j**4*(9*j + 2)
Let l(z) be the third derivative of z**8/21 + 2*z**7/7 - 4*z**6/15 - z**5 + 2*z**4/3 + z**2 + 180*z. Let l(y) = 0. What is y?
-4, -1, 0, 1/4, 1
Let r(s) be the third derivative of s**8/336 + s**7/105 - s**6/15 - 4*s**5/15 + 2*s**4/3 + 16*s**3/3 - 37*s**2. Find y, given that r(y) = 0.
-2, 2
Let w = -102698/25 + 4108. Factor -2/25*s**2 + 2/25*s + w - 2/25*s**3.
-2*(s - 1)*(s + 1)**2/25
Let z be (8/(-35))/(620/(-1550)). Factor z + 22/7*n**2 + 26/7*n.
2*(n + 1)*(11*n + 2)/7
Suppose 6*j - 3*l + 6 = 9*j, j = -3*l. Let q be (-9)/(-5) + (-5)/(-25). Factor 1/4*t**5 - 1/2*t**j - 1/4 + 1/2*t**q + 1/4*t - 1/4*t**4.
(t - 1)**3*(t + 1)**2/4
Factor -1225/2*y**2 + 0 + 1085/4*y**3 + 1/4*y**5 + 17*y**4 + 0*y.
y**2*(y - 2)*(y + 35)**2/4
Let x(h) = -h**2 + 2. Let p(w) = -1. Let j(s) = 4*p(s) - x(s). Let m be j(3). Let 6*a - 27*a**2 - 2*a**3 - a**m + 6 + 21*a**2 - 3*a = 0. What is a?
-2, -1, 1
Let k(m) = -m - 9. Let b be k(9). Let d be (-1)/2 + (-9153)/b. What is h in d*h - 508*h + 2*h**2 - 8 = 0?
-2, 2
Suppose -57*x - 10 = -59*x. Let h(s) be the third derivative of 0*s + 0 - 1/120*s**x + 1/24*s**4 + 3*s**2 - 1/12*s**3. Solve h(y) = 0.
1
Let a(c) be the first derivative of 0*c**3 + 4*c + 2 + 1/6*c**2 + 0*c**5 - 1/18*c**4 + 1/90*c**6. Let q(y) be the first derivative of a(y). Factor q(i).
(i - 1)**2*(i + 1)**2/3
Let i(z) be the third derivative of z**6/24 + 2*z**5/3 - 25*z**4/6 + 99*z**2 - 2. Find q, given that i(q) = 0.
-10, 0, 2
Let q(j) = -7*j**3 - 17*j**2 + 55*j - 31. Let z(n) = -10*n**3 - 26*n**2 + 82*n - 46. Let b(s) = 7*q(s) - 5*z(s). Factor b(v).
(v - 1)**2*(v + 13)
Suppose 4*f + 14*r - 5 = 17*r, 3 = -f + 5*r. Let d(q) be the second derivative of 0 + 1/3*q**f - 7*q + 1/27*q**3 - 1/90*q**5 - 1/18*q**4. Solve d(a) = 0.
-3, -1, 1
Suppose -17/2*l + 1/2*l**4 + 3 + 17/2*l**2 - 7/2*l**3 = 0. Calculate l.
1, 2, 3
Let u(b) be the third derivative of -b**8/3864 + b**7/483 - 7*b**6/1380 + b**5/230 - b**2 + 78*b. Factor u(g).
-2*g**2*(g - 3)*(g - 1)**2/23
Let a be ((3 - 3) + 5)/1. Suppose -a*s - 3*h = 5, -3*h - 7 = -5*s + 18. Factor 9*b + 4*b**2 - b**s + 0*b + 6.
3*(b + 1)*(b + 2)
Let o be 26/6 + 6/9. Find x, given that 15*x**2 + x - 6*x + o - 5*x**3 - 10*x = 0.
1
Let w(z) be the third derivative of z**6/960 - z**5/480 - 45*z**2. Factor w(b).
b**2*(b - 1)/8
Suppose -t + 6*t - 7 = -f, t = -2*f + 5. Suppose 12*g**f + 0*g**2 - 7*g - 21*g - 24 = 0. Calculate g.
-2/3, 3
Let n(o) be the first derivative of 2*o**4/11 - 64*o**3/11 - 9*o**2 - 50*o/11 + 373. Solve n(h) = 0 for h.
-1/2, 25
Factor -2*m**5 + 6*m - 4*m**3 - 120444*m**2 + 120428*m**2 + 16*m**3.
-2*m*(m - 1)**3*(m + 3)
Let n(r) be the third derivative of r**5/90 - 25*r**3/9 - 63*r**2 + r. Let n(l) = 0. What is l?
-5, 5
Suppose 4*d - 14 = 3*o, -5*o - 2*d = 2*d - 30. Factor 7*k**2 + 10*k**3 - 3*k**o + 0*k**2.
2*k**2*(5*k + 2)
Let r(v) be the third derivative of 3*v**7/2240 - v**6/960 - v**5/160 - 19*v**3/3 + 35*v**2. Let y(j) be the first derivative of r(j). Let y(c) = 0. What is c?
-2/3, 0, 1
Determine a so that 36/5*a**2 - 123/5*a - 3/5*a**3 + 126/5 = 0.
2, 3, 7
Factor 0 + 9 - 10 - 4*q**2 + 30 + 23 + 48*q.
-4*(q - 13)*(q + 1)
Factor -36/7*n**2 - 24/7*n**3 + 0*n - 4/7*n**4 + 0.
-4*n**2*(n + 3)**2/7
Let w(q) be the third derivative of 7*q**5/160 + 41*q**4/32 + 75*q**3/16 - 825*q**2. Let w(p) = 0. What is p?
-75/7, -1
Let z(y) = y**3 - y**2 + y. Let i(r) = -6*r**3 - 52*r**2 - 61*r. Let h(b) = -i(b) - 5*z(b). What is g in h(g) = 0?
-56, -1, 0
Suppose 4*k - 9*k + 20 = 0. Let w(m) = -m**3 - 13*m**2 - 12*m + 6. Let q be w(-12). Factor k*f**2 + 2*f + 4*f**3 - 16*f**2 + q*f.
4*f*(f - 2)*(f - 1)
Suppose 24*a - 213 = -47*a. Let 2/3*r**a + 0*r + 0 - 2/3*r**2 = 0. What is r?
0, 1
Factor -104*u**2 - 265*u - 23 + 364*u**2 + 5*u**3 + 23.
5*u*(u - 1)*(u + 53)
Solve 77*b + 0 + 12 + 10*b**2 - 7*b + 12*b**2 = 0.
-3, -2/11
Let k be (((-5)/(-1) - 3) + -2)/(-1). Let j(a) be the third derivative of 1/12*a**3 - 1/60*a**5 + 3*a**2 - 1/48*a**4 + 0*a + k. Factor j(x).
-(x + 1)*(2*x - 1)/2
Let g = -10184/3955 + 2/565. Let n = g + 68/21. Find x, given that 2*x**2 + 4/3 - 10/3*x - 2/3*x**4 + n*x**3 = 0.
-2, 1
Let n(k) be the third derivative of -k**6/30 + 19*k**4/6 - 20*k**3 - 2*k**2 + 307*k. Find o such that n(o) = 0.
-5, 2, 3
Let x(g) be the first derivative of 14 - 3/8*g**2 + 0*g - 1/4*g**3. Factor x(s).
-3*s*(s + 1)/4
Factor -15*n - 25*n + 143 - 98 - 5*n**2.
-5*(n - 1)*(n + 9)
Let p(f) = 5*f**2 + 32*f - 229. Let z(u) = -40*u**2 - 255*u + 1835. Let c(h) = 25*p(h) + 3*z(h). Factor c(m).
5*(m - 4)*(m + 11)
Let k(p) be the first derivative of -2*p**6/3 + 16*p**5/15 + 2*p**4/3 - 16*p**3/9 + 2*p**2/3 - 48. Solve k(m) = 0.
-1, 0, 1/3, 1
Let i(m) = -m**3 + m**2 - 6*m - 6. Let d be i(-3). Let r be d/(-36)*6/(-4). Factor -1/6*o**r + 1/6 + 0*o.
-(o - 1)*(o + 1)/6
Let x = -554 - -1684/3. Solve 20/3*v**2 - 2*v + x*v**4 - 2*v**5 - 92/9*v**3 + 2/9 = 0 for v.
1/3, 1
Let p = 31 + -17. Let x be (p/(-8))/(2/(-8)). Factor -l**2 - 6*l**5 + 5*l**2 - 8*l**4 + 9*l**3 - x*l**3.
-2*l**2*(l + 1)**2*(3*l - 2)
Let g(r) = r**3 + 4*r**2 + 10*r + 21. Let b be g(-3). What is o in b*o**2 + 0 + 0*o - 2/11*o**4 + 0*o**3 + 2/11*o**5 = 0?
0, 1
Let y(s) be the first derivative of 28*s**6/3 + 92*s**5 + 113*s**4 - 1988*s**3/3 + 610*s**2 - 200*s + 21. Let y(z) = 0. Calculate z.
-5, 2/7, 1/2, 1
Suppose 5*i - 6 = 2*m, 3*m = 5*i - i + 5. What is c in 55*c**4 + 24 + 12*c - 30*c**2 - 8*c**3 - m*c**3 + 3*c**5 - 49*c**4 = 0?
-2, -1, 1, 2
Determine m, given that 800/3*m + 268/3 + 256/3*m**3 + 264*m**2 - 4/3*m**4 = 0.
-1, 67
Let r(u) be the first derivative of u**6/3 - 2*u**5/5 - 3*u**4/2 + 2*u**3/3 + 2*u**2 - 35. Factor r(q).
2*q*(q - 2)*(q - 1)*(q + 1)**2
Let u = 47 + -45. Let g be ((-6)/(-3) - -4)/u. Solve -1/3*o + 1/3*o**g + 1/3*o**2 - 1/3*o**4 + 0 = 0 for o.
-1, 0, 1
Let d be 2 + (-6)/4 + 1. Suppose 0 = -4*a - 5*v - 2 - 0, -3*a - 3*v = 0. Suppose -d*p**2 - a*p**3 - 1/3*p - 5/6*p**4 + 0 = 0. Calculate p.
-1, -2/5, 0
Suppose 0 = g - 2*l + 5*l - 11, 4*g - 16 = 2*l. Suppose -10*t + g*t = -20. Suppose 4/3*b**t - 2*b - 2/9*b**5 + 4/9 + 32/9*b**2 - 28/9*b**3 = 0. Calculate b.
1, 2
Let u(c) be the third derivative of -c**6/320 + 11*c**5/160 - 35*c**4/64 + 25*c**3/16 + 46*c**2. Suppose u(i) = 0. What is i?
1, 5
Let g(m) be the second derivative of 3*m**5/160 - 3*m**4/32 - m**3/4 + 199*m. Find i, given that g(i) = 0.
-1, 0, 4
Let y be (0/(-12))/((4 + 0)*-1). Suppose y + 0*m**2 - 1/11*m**3 + 1/11*m = 0. What is m?
-1, 0, 1
Let 126*z - 21927*z**3 - 210 + 21932*z**3 - 120*z**2 + 199*z = 0. Calculate z.
1, 2, 21
Let h(n) be the third derivative of 13*n**2 + 0 + 1/30*n**5 + 0*n**3 + 0*n + 1/3*n**4. Find r, given that h(r) = 0.
-4, 0
Suppose 3*o = 8*o - 20. Let a be (2/4)/((-4)/(-16)). Suppose -4*g**4 - 2 + a*g**o + g**2 + 3*g**2 = 0. What is g?
-1, 1
Let n = 104452/3 + -34817. Factor 1/6*q - 1/6*q**3 - 1/3*q**2 + n.
-(q - 1)*(q + 1)*(q + 2)/6
Let i = -19 - -23. Suppose -4*d = d - 15. Solve -6*u**d - 10*u**3 + 25*u**5 + i*u**2 - 2*u**4 + 2*u**4 + 5*u**4 = 0 for u.
-1, 0, 2/5
Let k(w) be the first derivative of 9 + 3/16*w**2 - 3/4*w + 1/8*w**3. Determine b so that k(b) = 0.
-2, 1
Factor 35*z**4 + 2747*z - 1810*z**3 + 17036*z**2 + 718*z + 4586*z + 6104*z**2 - 1291*z.
5*z*(z - 26)**2*(7*z + 2)
Suppose 22 = 19*y - 16. Let h = -9 + 13. Factor -h + 25*a**2 - 24*a**y - 2*a + 4.
a*(a - 2)
Let u = 78 - 50. Let r be (0*(u/(-8) + 3))/(-2). What is n in r + 2/7*n**2 + 4/7*n = 0?
-2, 0
Let r(g) be the second derivative of -7*g - 1/80*g**5 - 1/4*g**3 + 0 + 3/32*g**4 - g**2. Let l(j) be the first derivative of r(j). Factor l(i).
-3*(i - 2)*(i - 1)/4
Let l(u) be the second derivative of -2*u + 2744/3*u**3 - 98*u**4 - 4802*u**2 + 0 + 28/5*u**5 - 2/15
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{
"pile_set_name": "DM Mathematics"
}
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g and q.
13
Let j = 47 + -5. Let c = j - 22. Let q be c - (-3 - (1 - 3)). What is the highest common divisor of 14 and q?
7
Let a be 21/9 + 708/9. What is the highest common factor of a and 513?
27
Let a be (6/(-4))/((-1)/(-20)). Let i be 1/(((-9)/a)/3). Calculate the greatest common divisor of 25 and i.
5
Let o = -229 + 242. What is the greatest common factor of o and 52?
13
Let u(y) = -2*y**2 + 8*y + 5. Let o be u(-5). Let q = -25 - o. What is the greatest common divisor of 40 and q?
20
Suppose 0*u + u - 27 = 0. Let r = 881 + -665. Calculate the greatest common factor of u and r.
27
Suppose -102 = 2*a + 4*z, a - 3*z = -18 - 58. Let t be a/(-7) - (-6)/21. Suppose t*i = 12*i - 336. What is the highest common factor of i and 14?
14
Let q be 0 + -3 - (-11 - -10). Let t be -4*5/q + 2. Let n be 2/t + (-2514)/(-36). What is the greatest common factor of 7 and n?
7
Let l = -5 - -9. Let x be l - (5 - (-2 + 5)). Suppose 0 = q + x*q - 54. What is the greatest common divisor of q and 45?
9
Let z be -35*(26/(-14) + -1). What is the greatest common divisor of 90 and z?
10
Let o = -1 + 4. What is the highest common factor of 33 and o?
3
Let f be 2*3/(-12)*-10. Suppose z - 26 = -2. Suppose -k = -31 - z. What is the greatest common divisor of k and f?
5
Suppose -3*t = z - 3507, 3*t + 6*z - 10*z - 3492 = 0. Calculate the greatest common divisor of 73 and t.
73
Let l = 776 + -753. What is the highest common factor of 253 and l?
23
Let p = 824 + -822. Suppose -5*k + 85 = -3*x + 8*x, 2*k - 4*x - 28 = 0. What is the greatest common factor of p and k?
2
Let v = -250 + 327. What is the highest common factor of v and 7?
7
Suppose 0 = -5*p + 4*d - 39, p + 0*d = 4*d - 11. Let m(c) = -c - 6. Let n be m(p). What is the highest common factor of n and 8?
1
Suppose -6*a + 294 = a. Let l = 94 - 53. Suppose -3*s + 43 = -l. Calculate the greatest common divisor of s and a.
14
Let a(f) = -6*f**3 + 48*f**2 + 4*f - 20. Let h be a(8). Suppose 126 = 4*t - 18. Let q be (t/(-10))/((-2)/10). Calculate the highest common divisor of h and q.
6
Suppose -4*y + 187 + 13 = 0. Calculate the highest common divisor of y and 50.
50
Let y be ((-280)/3)/5*-3. Suppose 0*k - 4 = 2*k - 2*j, -4*k + 27 = 3*j. Let u be ((-6)/(-3) - k) + 15. Calculate the highest common divisor of u and y.
14
Let r = -54 - -98. Suppose 2*n + 3*g = 2, 38*n - 41*n + 3*g = -18. What is the greatest common divisor of n and r?
4
Let g = -193 + 214. Let d(r) = 5*r**2 + 9*r - 3. Let t = -16 + 22. Let o be d(t). Calculate the highest common factor of o and g.
21
Suppose -3*n = -4*n + 3. Suppose m - 1154 = -3*m + 5*g, -862 = -n*m + 2*g. What is the highest common divisor of 26 and m?
26
Let o(t) = 7*t**2 + 3*t + 5. Let q be o(-4). Let p(h) = 5*h**2 - 2*h - 3. Let g be p(-2). Calculate the greatest common divisor of g and q.
21
Suppose -6*m + 22 + 2 = 0. Let p be 4 + (-13 - -1)/(-4)*-1. What is the greatest common factor of p and m?
1
Suppose 66 = -0*u + 3*u. Let a(n) = -2*n**3 - 45*n**2 - 31*n + 44. Let s be a(-22). Calculate the greatest common divisor of s and u.
22
Let b = -90 + 45. Let n = b + 54. What is the greatest common divisor of 9 and n?
9
Suppose 0 = 11*y - y - 190. Calculate the greatest common factor of y and 76.
19
Let o be ((-378)/70)/(3/(-10)). Let f(a) = a**3 + 3*a**2 - 3*a - 3. Let w be f(-3). Calculate the greatest common divisor of w and o.
6
Let s(l) = l**3 - l**2 + 2*l + 65. Let p be s(0). Let y = 101 - p. What is the greatest common divisor of 90 and y?
18
Suppose 234 = 14*y + 4*y. Suppose -9*z + 12*z - 273 = 0. Calculate the greatest common divisor of z and y.
13
Suppose -32 = -3*g - g. Let u = -9 + g. Let b be 90/10 - (-3)/u. What is the highest common divisor of 54 and b?
6
Let w(l) = l**2 + 28*l - 85. Let y be w(8). What is the highest common factor of 7 and y?
7
Let p(a) = a - 6. Let v be (5 - -1)*6/12. Suppose 0 = 4*r + v*h - 20, -r + 3*r + 4*h = 0. Let w be p(r). Calculate the greatest common divisor of 6 and w.
2
Let b be (-6)/9*-15 - 2. Let z be (7 + -5)*14/4. Suppose z - 3 = q. What is the greatest common factor of q and b?
4
Let p = 207 + -187. Let h = 46 - -4. Calculate the highest common factor of p and h.
10
Let s = -532 + 551. Let g(z) = z - 46 - z**3 - 2*z**2 + 236 + z**2. Let y be g(0). Calculate the highest common divisor of y and s.
19
Let n be 2/(-7) - (-174)/21. Suppose -3*g - 30 = -2*m, 3*g - n = -3*m + 22. Let p be ((-432)/(-84))/(3/56). Calculate the greatest common divisor of p and m.
12
Let x(w) = -5*w + 14. Let u be x(-10). Let g = -34 + u. Calculate the greatest common divisor of 10 and g.
10
Let n = -19 - -49. Suppose -4*b + n = -2*b. Let x = -5 - -20. What is the highest common factor of x and b?
15
Let p = -117 - -261. Calculate the greatest common factor of 9 and p.
9
Suppose -41*n = -40*n - 8. Suppose -6*h = -n*h + 28. What is the highest common factor of 14 and h?
14
Suppose 965*d = 950*d + 3780. Calculate the highest common factor of 27 and d.
9
Let s(l) = -2*l - 30. Let a be s(0). Let h be (a/(-21))/(4/28). Let p = h + -4. Calculate the highest common factor of p and 3.
3
Suppose 0 = 2*m - 4*j - 1184, 1421 + 1569 = 5*m - 4*j. Calculate the greatest common divisor of 172 and m.
86
Suppose 2585 = 7*b + 170*k - 167*k, -1457 = -4*b + 5*k. Calculate the highest common factor of 207 and b.
23
Suppose 7*n = 2*n + 65. Suppose -9 + 129 = 2*g - 2*c, 4*c - 75 = -g. Let y be 4928/g - 6/27. What is the highest common divisor of n and y?
13
Let v(x) be the first derivative of 7*x**2/2 + 3*x + 6. Let t be v(3). Let r be (-352)/2*t/(-32). Calculate the highest common divisor of 12 and r.
12
Let x be 90/70 + -1 + 782/7. Calculate the greatest common factor of 32 and x.
16
Suppose -2769 = -46*g - 1113. What is the greatest common factor of g and 1422?
18
Suppose -18 = -6*x - 0. Suppose -5*m + j = 150 - 657, -j - 406 = -4*m. Suppose 2*h + a - m = -2*h, 2*a - 10 = 0. What is the highest common divisor of h and x?
3
Suppose -5*a + 0*a - 2*k + 324 = 0, 0 = -2*a - k + 129. Let s = -348 + 248. Let w = s - -122. Calculate the greatest common factor of w and a.
22
Let y = 423 - 358. Calculate the highest common divisor of y and 10.
5
Let c be ((-28)/(-4))/1*108/14. Suppose 4*s - c = 74. Calculate the greatest common factor of 24 and s.
8
Let m = -34 + 111. Let g = -44 + m. Let h = g + -26. What is the greatest common divisor of 14 and h?
7
Let p = -540 + 586. Let s(o) = -o**2 - 4*o - 2. Let a be s(-2). Suppose a*t + 0*t - 46 = 0. Calculate the highest common divisor of t and p.
23
Suppose -3*g - 8 = -2, 0 = 2*s + g + 14. Let b(n) = -5*n - 23. Let t be b(s). Suppose -4*q + 28 = -2*q. What is the highest common factor of q and t?
7
Let d be ((-162)/(-12))/9*(-224)/(-3). What is the greatest common divisor of d and 80?
16
Let r(x) = 35*x. Let z be r(3). Let b(l) be the second derivative of 11*l**3/6 + 9*l**2/2 + 8*l. Let n be b(3). What is the highest common factor of n and z?
21
Let q be (2 + (-2)/4)*-6. Let d(h) = 1. Let w(r) = -2*r + 16. Let a(b) = -6*d(b) + w(b). Let k be a(q). What is the highest common divisor of k and 70?
14
Let t = -49 + 1224. What is the highest common divisor of 25 and t?
25
Let f be ((-523)/2 - 4) + (-3)/(-6). Let w = f - -427. What is the highest common factor of 18 and w?
18
Let b(p) be the first derivative of 21*p**2/2 + 2*p - 2. Let h be b(3). Let i be 0 + 1 + -2 + h. Calculate the greatest common divisor of 16 and i.
16
Let h(w) = -14*w. Let k be h(-2). Let x be ((-16)/k)/(2/(-7)). What is the highest common divisor of 4 and x?
2
Suppose -5*y + 4*v = 18, 11 + 3 = -4*y + 3*v. Let o be 20 - (y - -3)*(0 + -1). What is the highest common factor of 147 and o?
21
Let h(f) = f**3 + 4*f**2 - f - 6. Let t be h(4). Let p = t + -82. What is the highest common factor of p and 36?
36
Let u = 21 - -5. Let j(v) = 21*v + 2. Let y be j(3). Suppose 2*d - d = y. Calculate the highest common divisor of d and u.
13
Suppose 0 = -2*r - 1 + 61. Calculate the highest common divisor of 18 and r.
6
Suppose -3*n + 24 = -18. Let u be (n/(-4))/(1/(-4)). Suppose 2307*o - 2256*o = 2856. What is the greatest common factor of o and u?
14
Let b(o) = -o**3 - 4*o + 132. Let d be b(0). Let k be d/(-48)*(23*-2 + 2). Calculate the highest common divisor of k and 11.
11
Let w = -75 + 124. Suppose 5*t
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(1700) - (sqrt(612) + sqrt(612) + -2 + sqrt(612) + -1))**2.
492*sqrt(17) + 114317
Simplify -1*(0 + sqrt(11))**2*4 - (sqrt(11) - (sqrt(11) - (sqrt(11) + sqrt(33)/sqrt(3) + 1)) - (1*sqrt(1100) + sqrt(1100))).
-45 + 18*sqrt(11)
Simplify 4 + ((sqrt(228)*-2*-1 + sqrt(228))/(4*sqrt(588)))**2.
3307/784
Simplify (-4 + ((-1*sqrt(54) + sqrt(54))/sqrt(9))/(sqrt(3) - sqrt(6)/sqrt(2)*6))**2.
16
Simplify (3 + (sqrt(2) - (sqrt(2) + 4)))*2 + (sqrt(2) + -2 + -2*sqrt(2) - (sqrt(64)/sqrt(2) + sqrt(2))**2).
-54 - sqrt(2)
Simplify ((2 + (sqrt(99)/(sqrt(9)*-3) - (sqrt(11) - (sqrt(11) - sqrt(121)/sqrt(539)))))*2)**2.
-160*sqrt(11)/21 + 11456/441
Simplify (4*(sqrt(22)/sqrt(2))**2 - (sqrt(66)/sqrt(2))/sqrt(3)) + 3*sqrt(99)/sqrt(225).
-2*sqrt(11)/5 + 44
Simplify ((sqrt(240)*1 - sqrt(240))/sqrt(10) - sqrt(24) - (sqrt(96)/sqrt(4) + sqrt(24))*-6)/(-3*sqrt(128) - sqrt(32)/sqrt(4)*4) + -2.
-2 - 11*sqrt(3)/16
Simplify ((sqrt(126) + -2*sqrt(126) + sqrt(126) + sqrt(126) - sqrt(126))*4)/(sqrt(42)/(sqrt(6) + sqrt(216)*-2 + sqrt(6) + sqrt(6))).
0
Simplify (-3*(sqrt(1300)*1 - sqrt(1300)) + 0)*-4 + -1.
-1
Simplify ((-1*(sqrt(228)*1 - sqrt(228) - sqrt(228))*-4)/(-1*sqrt(108) + sqrt(768) + sqrt(768)*1)*4)**2.
4864/169
Simplify 1*((sqrt(1300) + 4*(sqrt(1300) + 1) - sqrt(1300)) + sqrt(1300)*-2 + 4).
8 + 20*sqrt(13)
Simplify (-5 + 4 + sqrt(175) + (sqrt(175) - -2*sqrt(175)*-6) + -2)**2.
300*sqrt(7) + 17509
Simplify (1*sqrt(100)*4 - (1*sqrt(100)*-5 - sqrt(100)))/(sqrt(605) + (sqrt(605) - (sqrt(605) + sqrt(605) + 6*sqrt(605)*-2 + sqrt(605)))).
20*sqrt(5)/121
Simplify ((3*(sqrt(144)*-2 + sqrt(144)))/sqrt(6))/(sqrt(128) + 3*1*sqrt(128)).
-3*sqrt(3)/16
Simplify 1*((sqrt(288) + 5 + sqrt(288))**2 - (sqrt(2) - sqrt(288))*1)*2.
502*sqrt(2) + 2354
Simplify ((sqrt(133)*-2*-3)/sqrt(7))**2 + (sqrt(209)/(sqrt(55)/sqrt(5)))**2 + ((-1*sqrt(133) + sqrt(133))/sqrt(7))**2.
703
Simplify (5*(3 + (4 + sqrt(567)*-2 - (1 + sqrt(567)*2)) + 0))**2.
-10800*sqrt(7) + 227700
Simplify (4*(0 + sqrt(243) + -1 + -5)*-5)**2.
-43200*sqrt(3) + 111600
Simplify ((sqrt(117) - 6*(sqrt(117) - (sqrt(117) + 6*sqrt(117))))/(-6*sqrt(81)/sqrt(9)))**2.
17797/36
Simplify (5 + -1*sqrt(500))*2 + -2*sqrt(5)*2 + (sqrt(15)/sqrt(3))**2 + -2.
-24*sqrt(5) + 13
Simplify sqrt(15)/(2*(sqrt(405) + sqrt(5))) - (sqrt(3267)/sqrt(9)*-6)**2.
-13068 + sqrt(3)/20
Simplify -2*((5 + sqrt(968)*-2)**2 - (sqrt(968) + sqrt(968) + 6*2*sqrt(968) + sqrt(968)))*-1.
-1540*sqrt(2) + 7794
Simplify ((2*sqrt(50))**2 + 2 - sqrt(50))*-5*-5.
-125*sqrt(2) + 5050
Simplify (-6*-1*sqrt(500) + 0 + sqrt(320) + 4 + sqrt(320))**2.
608*sqrt(5) + 28896
Simplify (3 + sqrt(2) + sqrt(8) - ((sqrt(2) + -1 + sqrt(2) - sqrt(2))*-3)**2) + sqrt(8)*-5*-2 + 2.
-22 + 41*sqrt(2)
Simplify ((sqrt(112)*2 - sqrt(112))/sqrt(7))/(sqrt(72)/sqrt(324)) + -1.
-1 + 6*sqrt(2)
Simplify (-5*-2*(sqrt(1216) + -1 + sqrt(1216)) - (2 + (sqrt(38) - sqrt(152))/sqrt(2)*-2))**2.
-3792*sqrt(19) + 474460
Simplify -4 + (3 + (0 + sqrt(17))**2 - (sqrt(1377) + 2 + sqrt(1377) - sqrt(1377))**2).
-1365 - 36*sqrt(17)
Simplify (sqrt(72)/((sqrt(4) + sqrt(16))*6))/((sqrt(294)*-1 + sqrt(294))*-6 - sqrt(294)).
-sqrt(3)/126
Simplify (sqrt(22)/sqrt(275) + -2 + 3*2*sqrt(2)*5)**2.
-604*sqrt(2)/5 + 45702/25
Simplify ((-5*sqrt(20)*2)/(sqrt(4) + (sqrt(256) - -1*sqrt(256)) + sqrt(256)))**2 + -1.
-1/5
Simplify 4 + -1*sqrt(567) - (sqrt(77)/sqrt(176) + (sqrt(7) + -1)*5)**2.
-3423/16 + 87*sqrt(7)/2
Simplify (4*(4 + -5 + (sqrt(2057) - (1 + sqrt(2057) - sqrt(2057))) + 5))**2.
1056*sqrt(17) + 33056
Simplify ((-1*1*sqrt(153) + 1 + -3 + sqrt(153) + sqrt(153))*3)**2.
-108*sqrt(17) + 1413
Simplify (-1 + sqrt(2448) + -1 - (-1 + (sqrt(2448) - (1 + sqrt(2448))))**2) + (-1*sqrt(85)*4)/(-4*(sqrt(5)*2 + sqrt(5))).
-6 + 37*sqrt(17)/3
Simplify (-2*sqrt(99) + -5)**2 - (sqrt(99) + -3)**2*-4.
-12*sqrt(11) + 853
Simplify 6*((3 + sqrt(363))**2 + -3 - sqrt(27)/(sqrt(90)/(sqrt(60)/sqrt(6)))).
390*sqrt(3) + 2214
Simplify ((sqrt(75)*-1)/sqrt(5) + 6*sqrt(60)/sqrt(4))/(sqrt(15)/(sqrt(192)/sqrt(4))).
20*sqrt(3)
Simplify (5 + (sqrt(539)*3 + -3 - (2 + 3*sqrt(539))))**2.
0
Simplify (6*-5*1*sqrt(162)*-3)**2 + 2 + 2.
1312204
Simplify (-4 + 4 + -3*-2*-1*sqrt(147) + -3)**2.
252*sqrt(3) + 5301
Simplify (sqrt(153)*1*1*1)/(sqrt(1296)*1*-3 - sqrt(1296) - sqrt(1296)).
-sqrt(17)/60
Simplify (6*((sqrt(300) - (sqrt(300) + sqrt(300) + (1 + sqrt(300) - sqrt(300)))) + sqrt(300))*-4)**2*6.
3456
Simplify (3 + ((sqrt(350) + (sqrt(350) - ((sqrt(350) - sqrt(350)*-1) + sqrt(350) + sqrt(350)) - sqrt(350)) - sqrt(350) - sqrt(350))*-4)/(4*-1*sqrt(162)))**2.
-50*sqrt(7)/3 + 5104/81
Simplify -3 + sqrt(3) + sqrt(192)*1 + (-4*1*sqrt(6))/sqrt(2).
-3 + 5*sqrt(3)
Simplify 1*(sqrt(49) - (sqrt(49) + sqrt(4900)*2) - sqrt(343)/sqrt(63))/(((sqrt(70) + 2*sqrt(70))*-5)/sqrt(10)).
61*sqrt(7)/45
Simplify (sqrt(119)*2)/sqrt(7) + (sqrt(1700) + 0)**2 + -4 + ((0 + sqrt(68))*4 + -1 + -2*sqrt(68))**2.
-6*sqrt(17) + 1969
Simplify ((3*(sqrt(600) - (sqrt(600) - (sqrt(600) - sqrt(600)*2))))/(-6*(1*sqrt(108) - sqrt(108) - sqrt(108))))**2.
25/18
Simplify (sqrt(120)/sqrt(3)*1 - (sqrt(160) - 1*sqrt(160)))/(-5*(-2*sqrt(72) - sqrt(72))).
sqrt(5)/45
Simplify (2 + -5 + -1*-1*((sqrt(112) - (sqrt(112) + -1)) + 2))**2.
0
Simplify (sqrt(429)/(sqrt(44)/sqrt(4)))/(4*sqrt(432) - sqrt(3))*4*-2.
-8*sqrt(13)/47
Simplify ((sqrt(119)*1 + sqrt(119) - sqrt(119))/sqrt(7) - sqrt(17) - (sqrt(51)/sqrt(3) + -5))**2 + ((sqrt(34) - sqrt(136)/sqrt(4))*1)/sqrt(2).
-10*sqrt(17) + 42
Simplify (4*sqrt(4400)*2 + sqrt(4400))/((sqrt(12) - sqrt(108))/sqrt(3) + (sqrt(4) - sqrt(16)/sqrt(4))*2).
-45*sqrt(11)
Simplify 5 + -2*-2*sqrt(432) + -5*(-4 + (sqrt(432) + sqrt(432) + 0)**2).
-8615 + 48*sqrt(3)
Simplify (sqrt(17)*-1 + 5)**2 + sqrt(85)/(sqrt(5)*3) - ((sqrt(1700)*1 + sqrt(1700))**2 - (sqrt(102)/sqrt(6)*-3 - sqrt(17))).
-6758 - 41*sqrt(17)/3
Simplify (sqrt(60)/((sqrt(864) + 2*sqrt(864) - sqrt(864)) + sqrt(6) - sqrt(6)))/((sqrt(2560)*-2)/sqrt(8)).
-sqrt(2)/384
Simplify (-2 + 4 + (3*-1*sqrt(156))/(sqrt(24)/(sqrt(4)/sqrt(2))))**2.
-12*sqrt(13) + 121
Simplify -1*(sqrt(325) + 0 + 3*(sqrt(13) + 0))*3.
-24*sqrt(13)
Simplify (-5*((2*sqrt(75))/sqrt(3))/(sqrt(30)/(sqrt(6)*-2))*-5)**2.
50000
Simplify 0 + ((sqrt(1331) + sqrt(1331)*1 + -3 + (sqrt(1331) - (sqrt(1331) + 0 + ((sqrt(1331) - 1*sqrt(1331)) + sqrt(1331) - sqrt(1331)))))*2)**2.
-528*sqrt(11) + 21332
Simplify ((1*((sqrt(70) - (sqrt(70) - (sqrt(70) - ((sqrt(70) - sqrt(70)*-1) + sqrt(70))*-5))) + sqrt(70) + sqrt(70)))/(sqrt(30)/sqrt(3)*4 + sqrt(40)*6))**2.
567/64
Simplify ((sqrt(85) + -5*sqrt(85)*2 + sqrt(85))/(sqrt(245) + 2*sqrt(245)))**2.
1088/441
Simplify (sqrt(2) + (-3 + sqrt(2))*6 - (0 + (sqrt(14)/sqrt(7))**2)) + -1 + 0.
-21 + 7*sqrt(2)
Simplify 1*3*(5*(sqrt(2057) + 0 - sqrt(2057))*-3 + 1).
3
Simplify (sqrt(190) + (-1*3*sqrt(190) - sqrt(190)))/(sqrt(80)/(sqrt(8)*1)).
-3*sqrt(19)
Simplify ((sqrt(204) + 1*sqrt(204)*-2)*2)/(sqrt(120)/sqrt(160) + (sqrt(12) - (-1*sqrt(192) + sqrt(192) + sqrt(12)))) + 0.
-8*sqrt(17)
Simplify 3*(-3*(sqrt(637) + 0)**2 + sqrt(637) + -2).
-5739 + 21*sqrt(13)
Simplify (-4 + -2 + -3 + sqrt(11) + 3 + sqrt(22)/sqrt(2) + -1)**2*6.
-168*sqrt(11) + 558
Simplify (((sqrt(50) + sqrt(250)/sqrt(5))*-5)/(sqrt(10) + (sqrt(640) - (sqrt(640) - sqrt(640)*-1)) - sqrt(10))*4 + 1)**2.
10*sqrt(5) + 126
Simplify (-2 + -5*-1*sqrt(153) + sqrt(153))**2 + -5.
-72*sqrt(17) + 5507
Simplify (sqrt(12) + 3*sqrt(1452) + sqrt(1452))/((sqrt(96)/sqrt(2))/sqrt(12)).
45*sqrt(3)
Simplify ((sqrt(2448) - (sqrt(2448) - sqrt(2448)*1*-3 - sqrt(2448)))**2 - sqrt(2448) - (sqrt(2448) - (sqrt(2448) - (1 + sqrt(2448)))*4)**2) + -5.
-108*sqrt(17) + 7323
Simplify ((sqrt(700) - (sqrt(700) + (sqrt(700)*-2 + -1 - sqrt(700))) - (2 + sqrt(700)*1))*-2)**2.
-160*sqrt(7) + 11204
Simplify (sqrt(100) + 2*(sqrt(100) + (1*sqrt(100) - sqrt(100)) + sqrt(100)))/(sqrt(640)/sqrt(8) - 1*sqrt(125)).
-10*sqrt(5)
Simplify (((sqrt(637) - -2*sqrt(637)*1) + (sqrt(637) - (sqrt(637) + sqrt(637)*1)*-4) + sqrt(637) + sqrt(637))*4*-1)**2.
1997632
Simplify (sqrt(144)/(sqrt(8) - sqrt(800)*-2))/(sqrt(99)/(2*sqrt(176))).
8*sqrt(2)/21
Simplify (-2 + ((5 + -1 + sqrt(3))**2 - sqrt(15)/(sqrt(15)/sqrt(3))) + 1)*-5.
-90 - 35*sqrt(3)
Simplify ((sqrt(24) + (sqrt(600)*-3 - sqrt(24)) + sqrt(24))*-4)/(2*sqrt(128)*3 - sqrt(128)).
14*sqrt(3)/5
Simplify ((0 + sqrt(80))**2 + 5)
|
{
"pile_set_name": "DM Mathematics"
}
|
value of 4 - (4 - (-9 + 6 + 3))?
0
Calculate 0 - ((1 - 0) + 2).
-3
What is the value of -5 + 4 + -4 + 11 - 7?
-1
Calculate -8 + 13 + -8 + (-2 - -1).
-4
Evaluate 6 - (1 - (-5 - -11) - -6).
5
What is the value of -9 + 1 - (23 + -27)?
-4
What is the value of -8 + 3 + 2 + 5?
2
Calculate -1 + (-3 - -2) - -2 - -2.
2
What is the value of (4 - 3 - -1) + -6 + 7?
3
1 + (4 - -3 - 10)
-2
What is -6 - (4 - 10) - 2?
-2
What is the value of -2 - (-2 + 0) - -1 - 6?
-5
Calculate (3 - (5 - 2 - 7)) + -3.
4
Evaluate (1 - (3 - 3 - -3)) + 2.
0
-12 + (8 - 9 - -9)
-4
Evaluate -3 - (-9 + 2 + 2).
2
Evaluate -5 + (0 - -12) + -8.
-1
(-3 - -1) + 1 + -7 + 3
-5
What is 4 - 2 - (6 + -4 + -3)?
3
What is 3 + -5 + (-1 - 0) + -1?
-4
Evaluate -5 + 4 - 2 - 1.
-4
What is 0 + 3 + -2 + -6?
-5
What is 0 - -3 - 8 - -3 - 2?
-4
Calculate 3 + -3 + -6 + 5.
-1
Evaluate -1 + 3 - (5 - (1 - 1)).
-3
-6 - (-6 - (5 + -3))
2
Evaluate -8 + 13 - ((7 - 4) + 2).
0
Calculate 1 + 8 + -10 + -6.
-7
Calculate -14 - -17 - (1 - 1).
3
-7 + -1 + 1 + 5
-2
Calculate 21 + -23 - (2 + -7).
3
Evaluate (3 - 3) + -2 + 19 + -25.
-8
Calculate 4 - (2 - (4 + -1) - -3).
2
-15 + 19 + 4 + -4
4
What is the value of (7 + -2 - 4) + 9 + -3?
7
What is the value of 0 + -2 + 9 + -4?
3
What is 8 + (9 - 5) + -17?
-5
Calculate 7 - (6 - 0) - 5.
-4
What is the value of 2 + (0 + -4 - (-17 - -21))?
-6
What is the value of -6 + (4 - 0) - (0 + 0)?
-2
Calculate (-3 - (3 + -5)) + -3 + 2.
-2
Calculate 4 + -7 - (-5 + 3).
-1
Evaluate 6 - (0 + 2 + -7 - -12).
-1
0 + (4 - (9 - -5))
-10
Calculate -2 - (-7 - -2) - -2.
5
19 + -24 - (-15 + 0)
10
Evaluate (2 - 3) + 6 - (3 - 2).
4
What is the value of -7 - (-17 + 4) - (7 - -1)?
-2
What is (-9 - 1) + 24 + -19 + 5?
0
Calculate 1 - (2 - 0) - 2.
-3
Calculate (-1 - 5 - -4) + -3 - -3.
-2
What is the value of 9 + -11 - -13 - 7?
4
What is -7 + (1 - 5) + 3 + 1?
-7
Calculate -41 - -39 - ((-2 - -1) + -6).
5
Calculate 7 + (7 - 12) + -6.
-4
Evaluate 3 + 0 + (10 - 8).
5
Calculate 0 - -7 - (22 - 19).
4
What is the value of 0 + 0 - (-6 + 10 + -3)?
-1
What is -3 - -5 - (-1 + 1 + 1)?
1
Calculate 5 - (4 - 2) - 3 - 8.
-8
What is the value of -3 - (-2 + (-2 - -4) + 0)?
-3
Calculate 2 + -2 + 3 - (-97 + 110).
-10
What is 4 + -2 + -2 - (-9 + 12)?
-3
Evaluate -3 + 0 - (43 + -51).
5
Evaluate 0 + -4 - (-1 - 1).
-2
What is (2 - 9) + (-3 - -8)?
-2
What is the value of 3 - (0 - (1 - 4))?
0
What is (-3 + 8 - -5) + -7?
3
1 + -3 + 14 + -10
2
What is -14 + -5 + 18 - (-9 - -1)?
7
What is the value of 3 - 0 - (1 - 3)?
5
Evaluate 2 + 1 - (84 - 73).
-8
(-3 - 3) + -1 + (0 - -2)
-5
What is the value of 9 - (2 + (-6 - -8))?
5
What is -7 + 12 + (-2 - -1 - 5)?
-1
What is (-16 + 13 - (1 + -8)) + -3?
1
What is the value of (-3 - -5) + -2 + -1 - 0?
-1
Evaluate 1 - 8 - (-3 + (4 - 7)).
-1
Evaluate (2 - 0) + -25 + 26.
3
What is 4 - 5 - (5 + 1 + -2)?
-5
6 + -9 - (6 + -6)
-3
(-4 + 3 - -1) + (-3 - 2)
-5
What is the value of -3 + 7 + 0 - -1?
5
6 + (2 - -1 - 6)
3
Evaluate 6 + (14 - 6) - 9.
5
What is -10 + 9 - (4 - (-3 + 12))?
4
What is 2 + (7 - (13 - 9))?
5
(-44 - -47) + (-9 - -1)
-5
What is 2 + -1 + 0 - (-3 + 3)?
1
Evaluate (-6 - -5) + -3 - (-2 - 0).
-2
(-3 - 15 - -3) + 10
-5
-2 + -1 + 2 + 2
1
Evaluate -7 + 6 - (-5 - -1).
3
What is 1 + -5 - (-4 - 4)?
4
Evaluate 4 + 2 + 42 + -51.
-3
Calculate (0 - 0) + (5 - (5 - 1)).
1
What is the value of -1 + 6 + 4 + -14?
-5
What is -7 - (-4 + -5) - 3?
-1
What is the value of -2 + -1 + (5 - (1 - -2))?
-1
(-4 - (4 - 4)) + 4
0
What is -1 + -2 - (-4 + 2 + -4)?
3
What is -1 - (9 + -7 - -1)?
-4
Evaluate 1 - (-1 + -1) - (8 + -4).
-1
Calculate 3 + (-3 - -1 - -5) - 6.
0
Calculate 3 + (3 - 9) - -9.
6
Evaluate -7 + -6 + 5 + 14.
6
-3 + 1 + -3 + 4
-1
What is the value of 5 - (-2 - -1 - -2)?
4
What is the value of 6 + 0 - (0 + 3 - 3)?
6
What is 8 + (-12 - -8) + -4?
0
What is the value of -3 + 7 + 3 + -12?
-5
Evaluate (0 - 5) + 2 - (-24 - -25).
-4
Evaluate 2 + -2 + 2 - (-1 + 3).
0
What is 4 + (-4 - (8 + -4))?
-4
What is the value of 6 - (14 - 5) - -7?
4
-11 + 0 + (6 - 8) - -6
-7
What is (3 - -1) + -12 + 5 - -4?
1
What is 0 + 3 + (-1 - -1) + 2?
5
0 - 1 - (-8 + 5)
2
What is -2 + (-4 - -1 - -6)?
1
Calculate -1 + 13 + (6 - 9).
9
2 - 1 - (8 - 10)
3
What is 16 + -20 + 2 + 0?
-2
What is the value of -14 + 5 + 1 - (-2 - 11)?
5
-2 + 9 + (-5 - -2 - -5)
9
What is the value of (-5 - -12) + 0 - 2?
5
(35 - 14) + -26 - (-8 - 1)
4
Evaluate -4 + (7 + -3 - 3 - -2).
-1
What is the value of (-2 - 1) + 9 + -1 + -1?
4
Calculate 8 + (4 - 6) + (-10 - -15).
11
Calculate 6 + 1 + 0 - 8.
-1
What is the value of 3 + 8 + 4 + -6 - 8?
1
Calculate -6 + -1 + (2 - -5).
0
What is the value of 5 + (2 - (0 - -3))?
4
What is (2 - 3) + -2 + (213 - 203)?
7
-7 + (3 - 7) + 14
3
Evaluate -3 + (3 - (-6 + 2)).
4
Calculate 1 - (10 + -6 - 4).
1
Calculate 3 - (-5 - -2 - -2).
4
What is -1 + -1 - (-7 + (7 - 4))?
2
What is -2 + (2 + (1 - 2) - -2)?
1
Calculate (5 - 5 - -3) + 1 + -1.
3
What is the value of 0 + 0 + (15 - 16) + -4?
-5
Calculate 1 - (8 - (-4 + 12 + 3)).
4
What is the value of 1 - (1 + (-4 + 2 - 0))?
2
Calculate 2 - (5 + -2 + -2).
1
Evaluate (-51 - -51) + -1 + 2 - 5.
-4
What is the value of -11 + 7 - (4 - -3 - 3)?
-8
What is the value of 4 + (-4 - (-3 - 5)) + -10?
-2
What is 2 + 1 + -1 + -3 + 4?
3
What is (4 - 7) + 1 - -4?
2
115 - 127 - (1 + -6)
-7
What is -4 + -14 + 7 - -4?
-7
(7 - 2) + -7 + -1 - -6
3
Evaluate -6 - -4 - -1 - -2.
1
What is the value of -1 + 7 + (4 - (7 - 2))?
5
What is the value of 2 - (2 + 8) - -4?
-4
What is 0 - (-11 - -12) - (5 - 0)?
-6
-5 + 1 - (0 + -11 + 6)
1
What is -19 + 14 + (1 - 1)?
-5
Calculate -3 - (4 - 14) - 2.
5
Evaluate -6 - (-23 + 11 - 1).
7
Evaluate (-3 - 1) + (8 - (4 - -1)).
-1
9 + (6 + -14 - 1)
0
What is the value of -13 - -7 - (-3 - (1 + -3))?
-5
Calculate 2 - -4 - ((-7 - -7) + 4).
2
-1 + (-5 - -7) + -6
-5
What is 2 - (3 + 0 + -2 - -2)?
-1
Evaluate 7 + -3 + 0 + 1.
5
10 + -5 + (2 - 2)
5
Calculate 6 - -1 - (9 + -6).
4
What is the value of -2 + 0 + (0 - -6)?
4
Calculate 4 + -4 + (2 - 13 - -6).
-5
Calculate 2 - 3 - (-3 - (2 - 2)).
2
Calculate (-53 - -49) + (8 - -1).
5
Evaluate -19 + -5 + 13 + 6.
-5
Evaluate -30 - -33 - (-1 - (-1 - -4)).
7
0 - (-9 + 1) - (75 - 74)
7
Calculate 23 - 21 - (1 + 7).
-6
Evaluate (3 - 1) + (-14 - -9) + 9.
6
Calculate (2 - 2) + 0 + -1.
-1
-1 - 2 - (-2 + 2 + -1)
-2
(-5 - (4 - 4)) + (-2 - -3)
-4
Evaluate -7 - (-5 + (3 - (-1 + 1))).
-5
What is -5 + 12 + -8 - -2?
1
What is -8 - (-9 - 3) - 0?
4
What is 2 + 0 + 2 + -2?
2
Evaluate -1 - -6 - (33 - 23).
-5
What is 2 - (-5 + 5 + 1)?
1
What is the value of 3 + -8 + 5 + 0?
0
Evaluate -13 + -6 + 7 - -7 - 0.
-5
What is 3 - (-2 + 6 + -14 - -5)?
8
What is -2 + 1 + (3 - (7 - 3))?
-2
Calculate 1 + 14 + -5 + -9.
1
(4 - 0) + -3 + 3
4
Calculate (1 - (-2 + 4 - 2)) + -3.
-2
8 - 16 - -5 - 0
-3
Calculate (1 + -3 - -6) + -4.
0
Calculate 1 + (-4 - -4 - (-1 - 4)).
6
What is the value of (1 - -1) + -5 + -4 + 7?
0
Evaluate 5 + -1 + (-4 - -5 - 2).
3
What is 6 - 0 - (2 + 1)?
3
(-27 - -24) + 0 + 8
5
Calculate (4 - 2 - -1) + -3 + 2.
2
What is (-10 - (3 + -2)) + (17 - 13)?
-7
Calculate 1 + -3 + 1 + -1 + 0.
-2
What is 3 + 2 + (-11 + 10 - -4)?
8
What is (3 - (-1 - (-5 + 7))) + -6?
0
Evaluate (17 - 12) + (6 - 19).
-8
What is -2 + (-4 - -5) + -1 + 2?
0
What is the value of 11 + 0 + -5 - 5?
1
What is (1 + -11 - (-3 - 1)) + 3?
-3
What is the value of 1 - (3 - (-1 - -5) - -1)?
1
Calculate (-4 + -7 + 5 - 7) + 7.
-6
What is the value of 1 + 9 + -3 + -10 + 8?
5
3 - (4 - (1 + -1 - -4))
3
-3 - ((-1 - -3) + -3 + 2)
-4
What is the value of 2 + -13 - (27 - 38)?
0
0 + (3 - (-3 + 0 + 3))
3
7 - (3 - (-1 + (1 - -1)))
5
Calculate 28 + -26 - (8 + 1 + -3).
-4
What is 8 + -2 + (0 - 2)?
4
Evaluate 2 + (0 + -14 - -7).
-5
Calculate -7 - (5 + -17 + 8).
-3
What is the value of (-4 - 0) + (-8 + 5 - -2)?
-5
-2 - (1 - 8) - (14 + -12)
3
What is 4 - (0 + (4 - 4)) - 0?
4
What is 6 + -1 + 2 + -3 + -4?
0
What is the value of (-7 - -2 - -12) + -5?
2
-7 - (2 + 3 + -12) - 7
-7
Evaluate -2 - 4 - (10 - 8).
-8
What is -14 + (-12 - -12) - -20?
6
What is the value of 8 + -1 + -6 + 0 + -1?
0
What is the value of 1 + 1 + 4 + -7 - -3?
2
Evaluate -5 + -1 + -5 + 4 - -3.
-4
Evaluate (3 - 7) + (-4 - -3).
-5
-6 + 3 + -1 + 2 + -2
-4
Calculate -1 - (-6 - -1) - (-1 - -2).
3
Evaluate (-4 - (4 - 4)) + 2.
-2
-11 - -14 - (3 - 6)
6
What is 1 - (-7 - -4) - 4
|
{
"pile_set_name": "DM Mathematics"
}
|
Put -3/7, -17/6, x, 2/11 in descending order.
x, 2/11, -3/7, -17/6
Suppose -14*v = 17 - 65 - 8. Sort -2, -4, -1, v, -223.
-223, -4, -2, -1, v
Let p be 36/(-14094)*-29 + ((-24)/(-81))/(-4). Put 3, -97, p, 13 in decreasing order.
13, 3, p, -97
Suppose 3*z + 2*k + 30 = 0, -2*k = -0*z - z - 2. Let m(p) be the third derivative of p**5/60 + 17*p**4/24 + 5*p**3/3 + 6*p**2. Let t be m(z). Sort 4, 3, t.
t, 3, 4
Let k be 425/150 - ((-55)/(-30) + -2). Sort -3, 30/97, k.
-3, 30/97, k
Let a = -5518 - -5520. Sort 9, a, 10.
a, 9, 10
Let o be ((-6)/4)/((-1)/2). Suppose -4*k = t - 0*k - 2, -3*t - 4*k = 26. Put t, o, -1 in decreasing order.
o, -1, t
Let b(m) = -5*m**3 + 11*m**2 - 11. Let i be b(-1). Sort 6, i, 3 in increasing order.
3, i, 6
Let j = 0.47 + -0.07. Let l = 20.3 - -103. Let f = 123 - l. Sort f, -2/17, 1, j in descending order.
1, j, -2/17, f
Let k(y) = y**2 + 13*y - 33. Let q be k(-15). Let t = -0.444 + 0.244. Sort -0.02, q, t in increasing order.
q, t, -0.02
Let v = -1238018/35 + 35372. Put 3, -18/11, 0, v, 2/3 in increasing order.
-18/11, 0, v, 2/3, 3
Suppose -3*d + 12 - 3 = 0. Let m = -6 + d. Let q = 125 + -125.5. Sort m, 2, q in decreasing order.
2, q, m
Let b = -7.5 + 20.5. Let c = 13.4 - b. Let p = -50 + 49. Sort 0.3, p, c in increasing order.
p, 0.3, c
Let x(d) = -194*d**2 - 80*d - 3. Let i be x(-3). Put 0.3, -2/9, i in descending order.
0.3, -2/9, i
Let q(j) = 4*j**3 - 5*j**3 + 1 + 5*j**2 + 5*j + 2*j**3. Let p be q(-4). Let h(f) = -f**3 - 12*f**2 - 37*f - 20. Let o be h(-4). Sort 3, o, p.
p, o, 3
Let a = 3 + -5. Let l be (69/92)/(a/(-104)). Sort l, 0, 3.
0, 3, l
Let i = 155 - 155. Let x = -12/65 - -89/130. Sort x, i, 0.46 in decreasing order.
x, 0.46, i
Let z be (-150)/(-550) - (-6)/(-22). Suppose z = 3*d - 4*d + 1. Let a = -4 - -2. Put 0, 2/9, d, a in descending order.
d, 2/9, 0, a
Let x = 11.1 + -19.3. Let k = x + 8.2. Sort -5, k, 1.2 in increasing order.
-5, k, 1.2
Let c = -511.41045 - -0.01045. Let p = c + 511. Put -0.09, -0.02, p in ascending order.
p, -0.09, -0.02
Suppose -r + 20 = 3*r. Suppose -4*a = -2*k - 2*k - 4, 3*k + r*a = -19. Let c(f) = -f**3 + 12*f**2 - 2*f + 26. Let i be c(12). Put k, i, -4 in descending order.
i, k, -4
Suppose 0 = -27*a + 978 - 897. Let r be (-9)/(-3) + -2 + 1. Suppose 3*p = -l + 8, -10 = -4*l - 4*p - r. Put a, l, 2 in decreasing order.
a, 2, l
Suppose -6*v + 58 = -5*f - 3*v, -2*f - 3*v - 19 = 0. Let i = -1 + 1. Put i, -4, f in descending order.
i, -4, f
Let w(u) = -2*u + 77. Let n be w(12). Suppose -n*c = -49*c - 16. Sort -3, c, 1, 0 in descending order.
c, 1, 0, -3
Let q = 148 + -139. Suppose 4*b = q*b - 10. Put b, 8, -2 in descending order.
8, b, -2
Let k(w) = 37*w + 178. Let j be k(-2). Sort j, 2, -1, -3 in ascending order.
-3, -1, 2, j
Let j be 5*(84/(-10))/(-3). Let n(y) = -2*y**3 - 28*y**2 - 22*y - 307. Let h be n(-14). Sort j, 0, h, 4.
0, h, 4, j
Let b = 1.317 + -0.417. Let c = 1.9 + b. Put -3, 0.1, c in descending order.
c, 0.1, -3
Let s = -495.76 - -495.7. Put -0.3, s, 0 in decreasing order.
0, s, -0.3
Suppose 2*u = -z + 43, 3*z = -u - 2 + 131. Suppose 48*w - z*w - 115 = 0. Put 3, w, 0 in decreasing order.
w, 3, 0
Let s be (-464)/812 + (-78)/10*5/(-7). Sort 2, s, 4, 141.
2, 4, s, 141
Let u = -0.07253 + 1.07253. Put -5, 12.7, -1, u in increasing order.
-5, -1, u, 12.7
Let z(l) = 20*l - 670. Let o be z(30). Sort o, 0, 5 in descending order.
5, 0, o
Let z(q) = q**3 + 48*q**2 - q - 50. Let u be z(-48). Sort 4/7, u, 1.2 in increasing order.
u, 4/7, 1.2
Let i = 4448 - 4452. Sort i, 4, -51 in increasing order.
-51, i, 4
Let f = 0.2 + -0.7. Let z = 4637/18524 + -3/9262. Sort z, 1, -1/5, f in descending order.
1, z, -1/5, f
Let g = 208/757 + -75/3028. Let n = 3 + 0. Sort 4, -1.9, n, g in decreasing order.
4, n, g, -1.9
Suppose -108 = -9*r - 27. Suppose 3*j + 1 = 3*v - 2, -5*j - 2*v + r = 0. Let g be 3/((2 - 3)/8). Sort -5, g, 4, j in descending order.
4, j, -5, g
Let c(j) = -217*j - 4463. Let r be c(-20). Sort -2, r, 0.1 in descending order.
0.1, -2, r
Let c = 9200 - 9203. Sort 0.5, -0.85, -2, 0.1, c in descending order.
0.5, 0.1, -0.85, -2, c
Let u be (0*(2/4)/((-57)/38))/(-2). Sort -76, -1, 3, -2, u in increasing order.
-76, -2, -1, u, 3
Let d be (-3)/(-6)*26*(-11 - -12). Suppose 0 = w + 4*b + 6, -w + 3*b + d = -6*w. Let p(y) = -11*y - 26. Let l be p(w). Put l, -2, 5, 21 in decreasing order.
21, 5, -2, l
Let l = 0.166367 + -0.066367. Let h(b) = 2*b - 3. Let f be h(6). Sort f, -0.4, l, -3 in decreasing order.
f, l, -0.4, -3
Let k be 19/(-35) + 6/15. Suppose -j - 52 = c - 45, -5*c - 26 = 2*j. Sort -1, c, 0.09, k.
c, -1, k, 0.09
Let v = 5283 - 5281. Let c = -17 - -17. Sort 210, v, c in ascending order.
c, v, 210
Suppose 3 = y + 4*u, 0 = -4*u - 0 + 4. Suppose -o + 4*x = 25, o - 5*x + 4 = -32. Put 2, y, o in increasing order.
y, 2, o
Let p = 0.6 - 1. Suppose -3*i = 5*g - 31, -2*g = -g - 3*i + 1. Suppose -b + c + 8 = 0, 0 = -4*b + c + 11 + 9. Put b, -10, g, p in ascending order.
-10, p, b, g
Let b be -2 - 48/(-22) - 3072/(-528). Let p be (2/(-21))/(2/b). Sort p, 2/7, 3.
p, 2/7, 3
Let x = 4472 + -4470. Sort -163, x, -1 in decreasing order.
x, -1, -163
Let l = -2020 + 6071/3. Sort l, 25/2, -2, -0.2 in decreasing order.
25/2, l, -0.2, -2
Let y be (1 + -7)/2 - (-9 - -150). Let k = y - -166. Suppose -17*n + k*n + 20 = 0. Sort -2, 0, n in increasing order.
n, -2, 0
Let w be -1*(2 - -1)*(-5588)/(-33). Let g = 3554/7 + w. Let b be 80/(-38) + 0 + 2. Sort -3, g, b, -0.4.
-3, -0.4, g, b
Let q = 316.5 + -316.3. Put 2, -160, q in decreasing order.
2, q, -160
Let h = -18 - -18. Let x be (-9)/(-7) + 2/(-7). Let u(l) = l**3 + 10*l**2 - 3*l - 33. Let g be u(-10). Sort x, g, h, 5 in descending order.
5, x, h, g
Let y = 17 - 12. Suppose -5 = -y*q + 5. Suppose 10 = 5*u, 0*n + 3*u = q*n - 6. Sort -2, -4, n in decreasing order.
n, -2, -4
Let t = -2406 - -2406.4. Put -0.3, 0.3, t, -2.2, 5/6 in decreasing order.
5/6, t, 0.3, -0.3, -2.2
Let p = 180.74 - 180.212. Put -1/3, p, 0.6 in increasing order.
-1/3, p, 0.6
Let p = 246 + -250. Suppose 93 = 3*b - 5*h, h = -3*b - 4*h + 93. Suppose -3*q + 6 = 5*f, 4*q + 18 = f + f. Sort b, p, f.
p, f, b
Let a be 29798/(-84) - 6/(144/20). Let g = 356 + a. Sort g, 29, -0.4 in decreasing order.
29, g, -0.4
Let z = 0.0759 - -0.0641. Sort -1/31, z, -4.
-4, -1/31, z
Suppose -5*a = 4*p + 32, -18*p - 27 = -13*p + 3*a. Sort -2, -4, -98, p, -5 in ascending order.
-98, -5, -4, p, -2
Let q be -3*(-115)/15 - (2 + 2). Let c(f) = f + 3. Let o be c(0). Let h(g) = -2*g**2 + 47*g - 19. Let j be h(23). Sort q, o, j in ascending order.
o, j, q
Let b = 6347.72 + -6347.8. Suppose -4*h = -5*c + 37, 6*c + 5*h = c + 10. Sort b, -2, 3, c.
-2, b, 3, c
Let n(i) = i**3 - 9*i**2 - 5*i - 375. Let w be n(12). Sort 5, -11, w, 2 in descending order.
5, 2, w, -11
Let l(q) = -q**2 + 8*q - 5. Let k be l(1). Suppose 0 = 2*r - 7*r + 5. Let w be 0 - (-12)/r - 3. Sort k, 1, w in descending order.
w, k, 1
Let b = -241/2 + 2653/22. Let l be (-9)/(-12)*12*(-6)/(-378). Sort 1/6, -4, b, l.
-4, b, l, 1/6
Let a = 1772 - 1777. Sort -1, a, 0, -12, -4 in decreasing order.
0, -1, -4, a, -12
Let c be ((-96)/(-40))/(4/6). Let j = c + -31/10. Let g be 5*1 - 1476/288. Sort j, -5, g in increasing order.
-5, g, j
Let w be (5 - 215/45) + 734/18. Let n = 41 - w. Suppose 3*y - 5*b - 2 = n, 2*b + 8 = 3*y - 0*b. Sort -8, 5, y in increasing order.
-8, y, 5
Let g(p) = p**3 + 4*p**2 + 5*p + 7. Let r = 399 + -402. Let u be g(r). Put u, 11, -1 in descending order.
11, u, -1
Let j be (-6594)/36 - 1/(-24)*4. Sort -2, j, 0 in decreasing order.
0, -2, j
Let d(x) = -2*x**3 + 16*x**2 - x + 10. Let t = -3 + 11. Let l be d(t). Sort -4, -0.4, l.
-4, -0.4, l
Let g = -4515 + 4427. Sort -2, 2, g in decreasing order.
2, -2, g
Let m(p) = 33*p + 165. Let x be m(-5). Suppose -12*g + 27 + 9 = x. Sort g, -8, -5.
-8, -5, g
Let d = -91 + 64. Let u = d + 80/3. Let b = 95/112 + -9/16. Put 11, b, u in decreasing order.
11, b, u
Let u be (9/36*6)/(-4 - (-1367)/342). Put 0, u, -3, -2 in decreasing order.
0, -2, -3, u
Let y = -1/10 + 13/10. Let a = -69629/4 - -17406. Put y, -2, -0.1, a in decreasing order.
y, -0.1, a, -2
Let f = -350 + 347. Sort 1, f, -1/4, -0.033, -4 in increasing order.
-4, f, -1/4, -0.033, 1
Let r be (6/4)/(1/(-24)). Let h be -3 + (4 - r/(-30)). Suppose 3 + 2 = o. Pu
|
{
"pile_set_name": "DM Mathematics"
}
|
picking 2 w and 1 o?
5/13
What is prob of picking 2 a and 1 m when three letters picked without replacement from {a: 4, m: 1, w: 3}?
3/28
Two letters picked without replacement from qrtrrqark. What is prob of picking 1 r and 1 q?
2/9
Two letters picked without replacement from {u: 3, f: 3, k: 1, c: 2, n: 3, j: 3}. Give prob of picking 1 k and 1 c.
2/105
What is prob of picking 1 h, 1 a, and 1 s when three letters picked without replacement from fahsy?
1/10
Three letters picked without replacement from {t: 5, f: 9}. Give prob of picking 3 t.
5/182
What is prob of picking 2 q when two letters picked without replacement from {d: 2, q: 2}?
1/6
Two letters picked without replacement from hllhohl. Give prob of picking 1 o and 1 l.
1/7
Two letters picked without replacement from drodowowrocdrrrdr. Give prob of picking 1 c and 1 w.
1/68
Four letters picked without replacement from {t: 2, a: 2, h: 1}. Give prob of picking 1 a and 3 t.
0
Two letters picked without replacement from {r: 4, n: 3, t: 7, q: 1, p: 1}. What is prob of picking 1 n and 1 t?
7/40
Two letters picked without replacement from zzzfffzzff. What is prob of picking 2 f?
2/9
What is prob of picking 1 u, 1 j, and 1 l when three letters picked without replacement from jjuullzquzlzqzqluzj?
16/323
Two letters picked without replacement from xnhthmp. Give prob of picking 1 h and 1 x.
2/21
Calculate prob of picking 3 p when three letters picked without replacement from {b: 2, p: 4, j: 1}.
4/35
Three letters picked without replacement from pjjpjjjhhjjh. What is prob of picking 1 p and 2 h?
3/110
What is prob of picking 3 i and 1 z when four letters picked without replacement from iiiiiiiziiiiiiiiii?
2/9
Three letters picked without replacement from {x: 1, y: 2, a: 2, o: 1, i: 1}. What is prob of picking 1 i and 2 y?
1/35
Two letters picked without replacement from {x: 1, z: 2, h: 2, r: 1, u: 8, q: 1}. What is prob of picking 1 r and 1 h?
2/105
Three letters picked without replacement from {z: 2, k: 1, m: 1}. Give prob of picking 2 m and 1 k.
0
Calculate prob of picking 3 h and 1 g when four letters picked without replacement from hhhhhhhhhhhhg.
4/13
Calculate prob of picking 2 d when two letters picked without replacement from dggggdvvdododrdga.
15/136
What is prob of picking 4 k when four letters picked without replacement from {k: 6, b: 6}?
1/33
Three letters picked without replacement from {r: 1, h: 1, s: 2, k: 1, g: 1, n: 1}. Give prob of picking 1 h and 2 s.
1/35
What is prob of picking 1 b and 2 x when three letters picked without replacement from {s: 1, z: 8, x: 2, b: 9}?
3/380
Two letters picked without replacement from kmvah. Give prob of picking 1 m and 1 k.
1/10
What is prob of picking 1 o and 2 y when three letters picked without replacement from {o: 1, v: 2, y: 2}?
1/10
What is prob of picking 1 u and 1 w when two letters picked without replacement from {u: 10, w: 1, p: 7}?
10/153
What is prob of picking 3 k when three letters picked without replacement from hkkhhkhkhhhhkh?
5/182
Calculate prob of picking 2 v and 1 w when three letters picked without replacement from wyqvppv.
1/35
What is prob of picking 1 l, 1 a, and 1 u when three letters picked without replacement from {g: 1, u: 6, l: 4, a: 7}?
7/34
Calculate prob of picking 1 g and 3 m when four letters picked without replacement from {m: 3, t: 1, g: 3, f: 1, n: 2}.
1/70
Calculate prob of picking 2 a when two letters picked without replacement from {s: 2, a: 11, k: 2}.
11/21
Four letters picked without replacement from {j: 5}. Give prob of picking 4 j.
1
Three letters picked without replacement from hwakwhpkj. What is prob of picking 2 w and 1 k?
1/42
What is prob of picking 1 x and 1 p when two letters picked without replacement from kxkyepxxpkxxpyeexe?
2/17
Calculate prob of picking 1 y, 1 a, and 1 e when three letters picked without replacement from ayyeyye.
8/35
Four letters picked without replacement from dofdocdooooodcccdo. What is prob of picking 2 d and 2 c?
1/51
What is prob of picking 1 a and 1 w when two letters picked without replacement from {j: 1, a: 4, w: 3, y: 2}?
4/15
Calculate prob of picking 1 u, 1 j, and 2 p when four letters picked without replacement from xppjxjppxrjxuuuupu.
5/102
Three letters picked without replacement from truttrirrjrtutirm. What is prob of picking 2 u and 1 r?
3/340
Calculate prob of picking 2 i when two letters picked without replacement from vivivvi.
1/7
Calculate prob of picking 1 c and 1 r when two letters picked without replacement from {l: 3, r: 2, v: 1, c: 3, u: 3, f: 1}.
1/13
Two letters picked without replacement from mmzrzmw. What is prob of picking 1 m and 1 r?
1/7
Calculate prob of picking 1 r and 2 y when three letters picked without replacement from {r: 8, y: 5}.
40/143
Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {l: 2, i: 1, h: 10, e: 3}.
1/6
What is prob of picking 2 y when two letters picked without replacement from {t: 3, y: 2, q: 1, z: 1}?
1/21
Four letters picked without replacement from tteeettt. What is prob of picking 1 t and 3 e?
1/14
Calculate prob of picking 3 f and 1 g when four letters picked without replacement from mfllqqfgqqlfqq.
1/1001
What is prob of picking 2 j when two letters picked without replacement from {y: 1, e: 1, j: 2, q: 1}?
1/10
Two letters picked without replacement from xdiiiiixydiiyiy. Give prob of picking 2 i.
4/15
Two letters picked without replacement from mmjnn. What is prob of picking 2 n?
1/10
Calculate prob of picking 2 m when two letters picked without replacement from mmmmm.
1
What is prob of picking 1 p and 2 i when three letters picked without replacement from ppriiriiir?
1/6
Two letters picked without replacement from qootkqoqoqqqbkkoqb. What is prob of picking 2 o?
10/153
Calculate prob of picking 1 d, 1 r, and 1 o when three letters picked without replacement from ddtrido.
3/35
What is prob of picking 4 k when four letters picked without replacement from kkkcckkkkkk?
21/55
What is prob of picking 2 g when two letters picked without replacement from {g: 10}?
1
What is prob of picking 1 o and 2 e when three letters picked without replacement from xhhexhxhuxveoxvvve?
1/272
Calculate prob of picking 2 f when two letters picked without replacement from {w: 1, f: 3, k: 1}.
3/10
What is prob of picking 2 f, 1 s, and 1 d when four letters picked without replacement from pffshdhfdsrh?
4/165
Two letters picked without replacement from aiauaikauifauuu. What is prob of picking 1 f and 1 i?
1/35
Four letters picked without replacement from {m: 2, i: 5}. Give prob of picking 2 i and 2 m.
2/7
Three letters picked without replacement from {f: 2, d: 4, y: 3, k: 1, x: 4, l: 1}. What is prob of picking 1 f, 1 l, and 1 k?
2/455
Three letters picked without replacement from ufudufwdoduddfu. Give prob of picking 3 u.
2/91
Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {v: 2, c: 1}.
2/3
Two letters picked without replacement from {v: 1, a: 5, s: 3, i: 6, e: 3}. Give prob of picking 1 e and 1 s.
1/17
Four letters picked without replacement from juhmhkr. What is prob of picking 2 h, 1 j, and 1 u?
1/35
Two letters picked without replacement from {d: 2, z: 1, g: 2, e: 1}. Give prob of picking 2 d.
1/15
Four letters picked without replacement from {w: 1, y: 1, t: 4, c: 1, q: 2}. What is prob of picking 1 y, 1 c, and 2 q?
1/126
Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {d: 3, l: 2, y: 5, q: 1, s: 1}.
5/33
Calculate prob of picking 1 r and 1 b when two letters picked without replacement from bbbbbpybbybbbbrbb.
13/136
Calculate prob of picking 4 r when four letters picked without replacement from rprrrpprpprrpprpppr.
21/646
Four letters picked without replacement from rrfrskrkrkp. What is prob of picking 4 s?
0
Calculate prob of picking 2 z and 2 c when four letters picked without replacement from cczczcccccccc.
1/13
Two letters picked without replacement from jycjcjjjycycyyojcj. What is prob of picking 1 o and 1 c?
5/153
Two letters picked without replacement from aswtwtiwiitwiwaw. What is prob of picking 1 a and 1 t?
1/20
What is prob of picking 1 n and 2 b when three letters picked without replacement from bnbbbbbb?
3/8
|
{
"pile_set_name": "DM Mathematics"
}
|
ve of -10*t + 4*t - t**2 + 6*t - d*t**5 wrt t.
-360*t**2
Let q(g) = -2*g**2 - 3*g + 2. Let n be q(-4). Let x = 25 + n. What is the third derivative of -p**2 + x*p**3 + 3*p**2 - 9*p**2 wrt p?
42
Let s be 50/(-2)*(-4)/(-12)*-3. What is the third derivative of s*g**2 + 31*g**4 - 65*g**2 + 10*g**2 wrt g?
744*g
Let n be ((-10)/5)/(4/(-4)). Suppose -n = 3*g - 11. Find the first derivative of -9 - 5*m**g + 0*m**3 - 3*m**3 wrt m.
-24*m**2
Find the second derivative of 4*m**5 - 2429 + 2471 + 17*m**4 + 3*m - 5*m wrt m.
80*m**3 + 204*m**2
Let w = 4 - 1. What is the third derivative of 14*k**2 + 10*k**2 - 8*k**6 - w*k**6 - 3*k**6 wrt k?
-1680*k**3
Let q(w) be the third derivative of -23*w**7/42 - 163*w**3/6 - 2*w**2 + 3. Find the first derivative of q(d) wrt d.
-460*d**3
Let a(s) be the second derivative of 83*s**3/3 + 565*s**2/2 - 788*s. What is the derivative of a(l) wrt l?
166
Let v(c) be the first derivative of 7*c**2 - 1 + 0*c - 13/3*c**3. Find the second derivative of v(f) wrt f.
-26
Let k(b) be the second derivative of 6*b - 5*b**2 - 5/6*b**4 + 0 + 0*b**3. Find the first derivative of k(l) wrt l.
-20*l
Let k(w) be the third derivative of -w**6/30 + w**5/20 - 77*w**3/3 + 4*w**2 + 1. What is the derivative of k(z) wrt z?
-12*z**2 + 6*z
What is the derivative of 93 - 10 + 7*d**4 - 81*d**4 - 44 wrt d?
-296*d**3
Find the third derivative of 8*o + 524*o**3 + 151*o**2 - 8*o - 225*o**3 wrt o.
1794
Find the second derivative of 7*i + i**4 - 3*i**4 - 7*i**3 - 3*i**3 + 13*i**3 wrt i.
-24*i**2 + 18*i
Let c be (52*(-34)/(-4))/((-10)/(-15)). What is the third derivative of 662*a**2 + a - 2*a**5 + 7*a - c*a**2 wrt a?
-120*a**2
Suppose 3*o - r + 0*r = 12, -o + 12 = -3*r. Let n be (-50)/(-15) + (-1)/o. What is the second derivative of -4*p**2 + 23 - 23 - n*p wrt p?
-8
Let w(b) = -7*b**4 + 6*b**3 - 23*b**2 + 8*b + 8. Let m(a) = -a**4 + a**3 - a**2 + 1. Let g(r) = -6*m(r) + w(r). What is the second derivative of g(l) wrt l?
-12*l**2 - 34
Let n(x) be the second derivative of 26*x**3/3 - 12*x**2 + 32*x - 1. Differentiate n(s) with respect to s.
52
Let g(b) = -5*b**4 + 3*b**3 + 10*b**2 - 4. Let m(n) = -n**4 - n**3 - n**2 - 1. Let a(z) = g(z) - 4*m(z). What is the third derivative of a(w) wrt w?
-24*w + 42
Let w(j) be the first derivative of 236*j**5/5 - 92*j**2 - 24. Find the second derivative of w(p) wrt p.
2832*p**2
Let x(p) = -2*p + 1. Let m be x(-1). Let v be (m - 4 - 2)/(-1). Find the third derivative of 10*j**2 - j - 13*j**3 - v*j**2 + j wrt j.
-78
Let y = 76 - 455/6. Let z(c) be the second derivative of y*c**3 - 1/5*c**6 + 0*c**5 + 0*c**2 + 0 + 0*c**4 - 5*c. Find the second derivative of z(p) wrt p.
-72*p**2
Suppose 0 = -x - 4*x + 15. Find the second derivative of 13*c**3 - 3*c**3 + 20*c - 10*c**x + 20*c**5 wrt c.
400*c**3
Suppose s - 4*f + 10 = 2*s, -5*f = 5*s - 20. Suppose -10 = -6*i + i. What is the second derivative of 4*v**3 + v + i*v - 7*v**3 - s*v**3 wrt v?
-30*v
Find the first derivative of 2*u**2 + 1722*u + 1682*u + 1632*u - 196 + 1675*u - 6596*u wrt u.
4*u + 115
Let v = 142 - 140. Let d(b) be the third derivative of 0*b + 0*b**3 - 5/24*b**4 - 3*b**v + 0 + 1/15*b**5. Find the second derivative of d(y) wrt y.
8
What is the second derivative of 31*k - 30*k - k**2 + 1 - 3 + 21*k**3 wrt k?
126*k - 2
Let h be ((-25)/2)/((-4)/24). Suppose -2*v = 4*m - 50, 4*v + m - h = -2*m. Find the third derivative of 25*r**2 - v*r**2 - r**4 - 13*r**2 wrt r.
-24*r
Let a = 7 + 2. Find the third derivative of 21*h**2 + 4*h**5 + a*h**5 + 2*h**5 wrt h.
900*h**2
Suppose 5 = -4*y + 17. Find the second derivative of 75*k + 3*k**2 + y*k**2 - 35*k - 4*k**2 wrt k.
4
Let s = -26 - -23. Let f be (0 + -4 - s)*0. What is the first derivative of f*t - 27 - 6*t**4 + 0*t + 35 wrt t?
-24*t**3
Let l(t) = -2*t - 19. Let v be (-40)/15*36/8. Let j be l(v). Find the second derivative of -2*p**5 + 37*p - 26*p + 0*p**j wrt p.
-40*p**3
Let v(r) be the third derivative of -11/210*r**7 + 0*r**6 + 29*r**2 + 0*r**5 + 0 + 0*r**3 - 1/3*r**4 + 0*r. Find the second derivative of v(u) wrt u.
-132*u**2
Suppose 7*k - 2*k - 5 = 0, -2*k = 5*s + 8. Let u be 3 + 0/(s/1). Find the third derivative of -5*w**2 + w**3 + w**3 + 3*w**u + 2*w**3 wrt w.
42
Suppose 0*v - 16 = -4*v. Let w be 5/2 + 5/10. Find the second derivative of -4*z - v*z**2 - 3*z**w + 4*z**2 wrt z.
-18*z
Let h(r) = -71*r**2 + 264*r. Let s(p) = 144*p**2 - 528*p. Let w(o) = 13*h(o) + 6*s(o). What is the second derivative of w(i) wrt i?
-118
Let y(d) = -5*d**2 - 18*d - 257. Let j(w) = 7*w**2 + 17*w + 256. Let o(a) = 2*j(a) + 3*y(a). What is the first derivative of o(r) wrt r?
-2*r - 20
Let r be (((-8)/(-5))/2)/((-10)/(-25)). What is the third derivative of 10*k**4 - 8 + 2*k**r + 13*k**4 + 6*k**4 - 10 wrt k?
696*k
Let n = -5 - -5. Suppose n = -d - 3*d. What is the second derivative of 27*r**5 - 2*r - 17*r**5 + d*r wrt r?
200*r**3
Find the second derivative of 179*i**2 + 89 + 90 - 79*i - 31*i - 180 wrt i.
358
Suppose 3*t - u - 18 = t, -4*t - 5*u + 50 = 0. Find the second derivative of -t*w - 19*w**2 - 24*w**4 + 17*w**2 - w**3 + w**3 wrt w.
-288*w**2 - 4
Suppose -m - 4*m = -3*y + 34, 5*y + 4*m = -5. Let i = -192 + 195. Find the second derivative of 19*l**i + 7*l**4 - 19*l**y + l wrt l.
84*l**2
Let q(z) = z**3 - z**2 - 5*z + 4. Suppose 2*m = -5*k + 5, 4*k - 2*k = -5*m - 19. Let x be q(k). Find the second derivative of -5*a - 4*a + x*a + 6*a**5 wrt a.
120*a**3
Let c = 21 + -8. What is the second derivative of c*o**3 + 8*o - 4*o - 3*o wrt o?
78*o
Let k be 5/(-15) + (-490)/(-84). Let s(u) be the second derivative of k*u**2 + 0 + 11/6*u**3 + 10*u. Find the first derivative of s(m) wrt m.
11
Let n(a) be the second derivative of a**6/15 - 11*a**5/10 - a**4/4 + 2*a**3/3 - 2*a - 14. Find the third derivative of n(o) wrt o.
48*o - 132
What is the second derivative of 318*j - 276*j + 379*j - 5*j**2 + 10*j**3 wrt j?
60*j - 10
Let b(s) = 5*s**3 - 27*s**2 - 70*s - 7. Let d(t) = -10*t**3 + 54*t**2 + 137*t + 16. Let m(i) = -7*b(i) - 3*d(i). Find the second derivative of m(x) wrt x.
-30*x + 54
Let l(r) be the second derivative of r**7/14 + 26*r**5/5 - 5*r**3/6 + 28*r**2 - 446*r. What is the second derivative of l(u) wrt u?
60*u**3 + 624*u
Let t(z) = z + 0*z + 0*z + 6 + 8*z**2 + 13*z**2. Let o(q) = -q - 1. Let h(m) = -6*o(m) - t(m). What is the second derivative of h(u) wrt u?
-42
Let y(u) = u + 20. Let x be y(-8). Let b be ((-15)/6)/(-5)*x. Find the third derivative of b*z**2 + 0*z**5 + 9*z**5 + 1 - 1 wrt z.
540*z**2
Let n(z) be the third derivative of 2*z**4 + 47*z**3/6 + 121*z**2. Differentiate n(h) with respect to h.
48
Let b(a) be the second derivative of a**4/8 + 7*a**3/3 - 17*a**2/2 + 16*a. Let t(x) be the first derivative of b(x). Differentiate t(g) wrt g.
3
Let n(l) = -l**3 - 7*l**2 - 10*l - 22. Let u be n(-6). Find the third derivative of 2*t**5 + 3*t**5 - 30*t**u - 8*t**5 - 6*t**5 wrt t.
-540*t**2
Let s = 12 - 28. Let d(y) = -y**3 - 15*y**2 + 14*y - 23. Let t be d(s). What is the first derivative of -t - 5*l + 3*l - l wrt l?
-3
Let l be 55/3 + (-16)/(-24). Suppose -l*j - 6 = -21*j. What is the second derivative of 2*w + 3*w - 2*w**2 - j*w**2 - w wrt w?
-10
What is the derivative of -548 + 647*k**3 + 2519*k**2 - 1262*k**2 - 1257*k**2 wrt k?
1941*k**2
Let o(g) be the third derivative of -g**6/10 + 83*g**3/6 - 20*g**2 - g. Differentiate o(r) with respect to r.
-36*r**2
Let z(i) be the second derivative of 13*i**9/168 + 7*i**5/10 - 12*i**2 - 9*i. Let n(j) be the first derivative of z(j). Find the third derivative of n(s) wrt s.
4680*s**3
Let b(x) be the third derivative of 3*x**7/7 - 7*x**5/60 - x**4/3 - 128*x**2. What is the third derivative of b(v) wrt v?
2160*v
Suppose -3*p + 4*u - 2 = 0, -3*u = 2*p + u - 12. Suppose 2*x - 10 = 4*j - 0*j, -17 = -x - p*j. What is the derivative of -11*q + x*q + 12 - 7*q**4 wrt q?
-28*q**3
Let a(n) = 2*n**2 - 3*n. Let v(x) = 49*x**2 + 24*x - 85. Let d(r) = -40*a(r) - 5*v(r). What is the first derivative of d(j) wrt j?
-650*j
Let w = -12 - -14. What is the third derivative of -282*i**5 + 7*i**2 + 0*i**2 + 9*i**w + 284*i**5 wrt i?
120*i**2
Let h(m) be the first derivative of -105*m**4/4 + 54*m + 131. What is the derivative of h(y) wrt y?
-315*y**2
Let o(l) = 310*l**3 - 332*l**2 - 4. Let i(j) = 306*j**3 - 332*j**2 - 5. Let g(a) = 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
.
21*b**2
Let x(f) be the second derivative of f**7/21 + f**4/3 + 7*f. Find the third derivative of x(i) wrt i.
120*i**2
Let h(f) = -121*f**2 + 155*f. Let a(z) = 24*z**2 - 31*z. Let y(w) = -11*a(w) - 2*h(w). Find the second derivative of y(m) wrt m.
-44
Let t(b) be the second derivative of -b**7/420 - b**6/360 + 5*b**3/6 - b. Let a(s) be the second derivative of t(s). What is the third derivative of a(o) wrt o?
-12
Suppose -3*x = 3*m + 3, -3*m - 4 = -6*m + 4*x. Find the second derivative of -4*j**5 + m*j**3 + 0*j - 4*j + 0*j**3 wrt j.
-80*j**3
Let j(u) be the second derivative of -u**8/84 - u**5/30 + 2*u**2 - 5*u. Let g(w) be the first derivative of j(w). What is the third derivative of g(v) wrt v?
-240*v**2
Let v = 18/19 - -21/38. Let r(g) be the second derivative of 3*g - 1/4*g**4 + 0*g**3 + 0 + v*g**2. What is the first derivative of r(k) wrt k?
-6*k
Let f(d) = 2*d**2 + 7*d - 1. Let p be f(-4). What is the second derivative of -u**3 + 4*u**3 + u + p*u + 0*u wrt u?
18*u
Suppose l - 24 = -2*l. Let q = l - 4. Find the third derivative of 7*o**6 + o**2 + 2*o**2 - q*o**6 - 6*o**2 wrt o.
360*o**3
Let r(a) = a + 2. Suppose -2*i = i. Let u be r(i). Find the second derivative of d - 5*d + d**u + 0*d**2 wrt d.
2
Let w(f) be the second derivative of f**10/1680 - f**6/360 - 7*f**3/6 - 7*f. Let a(n) be the second derivative of w(n). Find the third derivative of a(k) wrt k.
360*k**3
Let j(b) = -1. Let p(i) = -2*i**3 + i - 1. Let h(z) = -3*j(z) + 3*p(z). What is the second derivative of h(r) wrt r?
-36*r
Let r(q) be the first derivative of -q**6/20 - q**5/30 + q**2 + 2. Let t(m) be the second derivative of r(m). What is the third derivative of t(h) wrt h?
-36
Suppose 4*a = -a. Suppose -1 = -p + 4, a = g + 3*p - 15. Find the second derivative of g*j**2 - j + 0*j**2 - j**5 + 3*j wrt j.
-20*j**3
Let w(x) be the first derivative of -5*x**3/3 - x**2 - 8. What is the second derivative of w(b) wrt b?
-10
Let s(m) be the third derivative of -11*m**4/8 - 4*m**3/3 + 30*m**2. Find the first derivative of s(o) wrt o.
-33
Let i(g) be the third derivative of 0 - 1/12*g**4 + 0*g**7 + 0*g + 1/336*g**8 + 0*g**5 + 0*g**3 + 0*g**6 + 2*g**2. What is the second derivative of i(b) wrt b?
20*b**3
Let q(o) be the third derivative of -o**9/42 - 7*o**5/60 - 12*o**2. What is the third derivative of q(i) wrt i?
-1440*i**3
Let x be 5/5 - (-2)/1. Let c(p) be the third derivative of 1/24*p**4 + 0 - 1/60*p**5 - 2*p**2 + 0*p + 0*p**x. What is the second derivative of c(n) wrt n?
-2
Let i(a) = 48*a**3 - 5*a**2 + 33*a - 5. Let d(o) = -72*o**3 + 8*o**2 - 49*o + 8. Let t(l) = 5*d(l) + 8*i(l). Find the second derivative of t(z) wrt z.
144*z
Let l be (1 + 1)*9/6. Let w(s) be the third derivative of -2*s**2 + 1/12*s**4 + 0*s + 0 + 0*s**l + 0*s**5 + 1/40*s**6. Find the second derivative of w(v) wrt v.
18*v
What is the second derivative of 37*m + 17*m - 3*m**3 - 23*m wrt m?
-18*m
Let v(p) be the first derivative of p**9/1512 - p**6/120 - 2*p**3/3 + 1. Let i(t) be the third derivative of v(t). Find the third derivative of i(a) wrt a.
120*a**2
Let a(f) be the third derivative of -f**2 + 1/120*f**6 - 1/30*f**5 + 0*f + 0*f**4 + 0 + 0*f**3. What is the third derivative of a(p) wrt p?
6
Let l(u) = u**2 + u + 2. Let v be l(0). What is the derivative of 2*m + v + 3*m - 7 wrt m?
5
Differentiate -19 + 21 + 6 + 11 + 23*x wrt x.
23
Let r(s) be the second derivative of s**9/7560 + s**6/360 + s**4/12 + 3*s. Let a(v) be the third derivative of r(v). Find the second derivative of a(g) wrt g.
24*g**2
Let n(i) be the second derivative of i**5/6 - 2*i**3/3 - 5*i**2 - 2*i. Let m(b) be the first derivative of n(b). Differentiate m(s) wrt s.
20*s
Let b(j) be the third derivative of j**5/12 + 5*j**4/24 - 2*j**2. What is the second derivative of b(h) wrt h?
10
Let u(c) be the third derivative of -1/2*c**3 - 1/20*c**5 + 0 + 0*c**4 + 0*c + 2*c**2. What is the derivative of u(o) wrt o?
-6*o
Let l(h) = -h**3 - 8*h**2 + 9*h + 3. Let o be l(-9). Find the third derivative of q**2 - q**o + q**3 + 0*q**3 + 2*q**6 wrt q.
240*q**3
Let v = -2 + 0. Let j be 0 + (v - (-3 + 1)). Find the first derivative of 1 + m**4 + m**4 + j*m**4 wrt m.
8*m**3
Find the second derivative of -605 - 30*w**3 + 605 + 5*w wrt w.
-180*w
Let g(b) be the first derivative of -27*b**4/4 + 8*b**3 - 24. What is the third derivative of g(q) wrt q?
-162
Let z(t) be the second derivative of 0*t**2 + 1/12*t**4 + 2*t + 1/2*t**3 + 0. Find the second derivative of z(u) wrt u.
2
Let t = 71/884 + 2/663. Let o(m) be the second derivative of t*m**4 - 1/2*m**2 + 0*m**3 + 2*m + 0. Differentiate o(w) with respect to w.
2*w
Let o be (-6)/15 - 2/(-5). Differentiate o*d**2 - 11 - d**2 - d**2 + 14 wrt d.
-4*d
Let u(b) be the third derivative of -13*b**5/20 - b**3/6 + 22*b**2. What is the derivative of u(w) wrt w?
-78*w
Find the second derivative of 89*t + 7*t**2 - 7*t**2 - 60*t**5 - 69*t wrt t.
-1200*t**3
Find the second derivative of -3*z + 2*z - 8*z + 0*z - 6*z**3 wrt z.
-36*z
Let z be 2/8 - (-19)/4. What is the third derivative of -d**6 - d**6 + 2*d**2 - z*d**2 wrt d?
-240*d**3
Let j = 0 - -2. Suppose 6*n - n - 5*p = 40, -3*p - 6 = 0. Find the third derivative of 2*c**2 + n*c**4 + j*c**2 - 8*c**4 wrt c.
-48*c
Let w(o) be the second derivative of 0*o**2 + 0*o**6 - 5*o + 0*o**4 + 0*o**5 + 0 + 2/21*o**7 - 1/6*o**3. Find the second derivative of w(x) wrt x.
80*x**3
Suppose 2*h + 3*h = -10. Let q = 6 - h. What is the second derivative of -2*p + p**5 + 8 - q wrt p?
20*p**3
Let z be (-1 + 2/(-6))*3/(-2). Let y(o) be the second derivative of -3/2*o**z + 1/3*o**3 + 3*o + 0. Differentiate y(i) with respect to i.
2
Let t(g) = -g**5 - 3*g**4 + 3*g**2 + 15*g. Let d(b) = 4*b**5 + 16*b**4 - 16*b**2 - 76*b. Let l(o) = 3*d(o) + 16*t(o). Find the second derivative of l(u) wrt u.
-80*u**3
Let k(r) be the third derivative of -17*r**6/40 + 16*r**3/3 + 28*r**2. Find the first derivative of k(v) wrt v.
-153*v**2
Let v(h) be the first derivative of 53*h**6/6 + 4*h**3 - 39. What is the third derivative of v(n) wrt n?
3180*n**2
What is the third derivative of 4*t**5 + 2*t**5 - 8*t**2 - 2*t**5 wrt t?
240*t**2
Let g(n) be the first derivative of -n**6 - 11*n**3/3 - 5. What is the third derivative of g(v) wrt v?
-360*v**2
Let r be -4*21/(-18)*9. Suppose -r = -2*n + 4. Find the second derivative of 2*q**2 + 2*q - 23 + n wrt q.
4
Let o(p) be the second derivative of 9*p**5/10 + 7*p**2 - 4*p. What is the first derivative of o(d) wrt d?
54*d**2
Let y(m) be the second derivative of m**7/105 - m**4/12 + 2*m**2 + 3*m. Let o(s) be the first derivative of y(s). What is the second derivative of o(w) wrt w?
24*w**2
Let m(d) = -d + 11. Let y be m(5). Let a(p) = -y - 4 - 5*p - p. Let o(q) = -2*q - 3. Let v(h) = -2*a(h) + 7*o(h). What is the derivative of v(z) wrt z?
-2
Let i(v) = -v**3 - v. Let r(p) = p**3 - 2*p. Let s(u) = -u - 7. Let f be s(-5). Let z(k) = f*i(k) - r(k). Find the second derivative of z(c) wrt c.
6*c
Let f(r) = r**3 - 7*r**2 + 7*r - 2. Let s be f(6). Find the first derivative of y - 8 + 5 - s*y wrt y.
-3
Let n(k) be the first derivative of -20*k**3/3 + k**2 - 18. What is the second derivative of n(o) wrt o?
-40
Suppose 13 = 2*t + 3. Differentiate -6 - t*u**2 + u**2 + 3*u**2 with respect to u.
-2*u
Suppose -n + 0*n = -2. Let z be (3 - 5) + n + 0. What is the third derivative of a**5 + 0*a**5 - 2*a**2 + z*a**2 wrt a?
60*a**2
Let r(i) = -i**2 + 5*i + 4. Let k be r(5). Suppose 4*w + 16 = -0*g - k*g, 2*w - 5*g = 27. What is the derivative of -5*q**4 + w + 0 + 3*q**4 wrt q?
-8*q**3
Let b(u) = -1. Let h(s) = -5*s**3 + 6*s - 3. Let i(w) = -3*b(w) + h(w). What is the second derivative of i(t) wrt t?
-30*t
What is the derivative of 0*k**2 + 92 - 93 - 11*k**2 wrt k?
-22*k
Let l(k) be the third derivative of -11*k**8/112 + 3*k**5/20 + 17*k**2. Find the third derivative of l(r) wrt r.
-1980*r**2
Let w(r) = -2*r**2 + 17*r + 11. Let y be w(9). Let z(p) be the first derivative of -1 - 3/2*p**2 + y*p. Differentiate z(l) wrt l.
-3
Let p(q) = q**5 + q**2 + q. Let w(c) = 15*c**5 + 4*c**2 + 22*c. Let t(u) = -4*p(u) + w(u). What is the second derivative of t(a) wrt a?
220*a**3
Let u(o) = 3*o**3 + 4*o**2 + 9. Let j(t) = t**3 - t**2 - 1. Let v(f) = 4*j(f) + u(f). Find the first derivative of v(s) wrt s.
21*s**2
Let m(u
|
{
"pile_set_name": "DM Mathematics"
}
|
f 1/2, to the nearest integer?
2604
What is the cube root of 394162 to the nearest integer?
73
What is the square root of 39411376 to the nearest integer?
6278
What is the tenth root of 476151 to the nearest integer?
4
What is the square root of 294346 to the nearest integer?
543
What is the sixth root of 23841 to the nearest integer?
5
What is the cube root of 190114 to the nearest integer?
58
What is 412759 to the power of 1/2, to the nearest integer?
642
What is 21580121 to the power of 1/5, to the nearest integer?
29
What is 527517 to the power of 1/2, to the nearest integer?
726
What is the tenth root of 823233 to the nearest integer?
4
What is 9270 to the power of 1/2, to the nearest integer?
96
What is 564146 to the power of 1/2, to the nearest integer?
751
What is the third root of 15859867 to the nearest integer?
251
What is 655324 to the power of 1/2, to the nearest integer?
810
What is 544009 to the power of 1/4, to the nearest integer?
27
What is 277983 to the power of 1/3, to the nearest integer?
65
What is the tenth root of 1416924 to the nearest integer?
4
What is 2097528 to the power of 1/9, to the nearest integer?
5
What is the third root of 471529 to the nearest integer?
78
What is 227965 to the power of 1/3, to the nearest integer?
61
What is 1958410 to the power of 1/10, to the nearest integer?
4
What is 12411772 to the power of 1/3, to the nearest integer?
232
What is the seventh root of 3792984 to the nearest integer?
9
What is the square root of 1559560 to the nearest integer?
1249
What is 700094 to the power of 1/5, to the nearest integer?
15
What is the sixth root of 207132 to the nearest integer?
8
What is 244727 to the power of 1/10, to the nearest integer?
3
What is the cube root of 8452158 to the nearest integer?
204
What is the third root of 35977 to the nearest integer?
33
What is the third root of 9565486 to the nearest integer?
212
What is the cube root of 875561 to the nearest integer?
96
What is the cube root of 242053 to the nearest integer?
62
What is the seventh root of 1811063 to the nearest integer?
8
What is the cube root of 4552501 to the nearest integer?
166
What is the cube root of 2066701 to the nearest integer?
127
What is 26128 to the power of 1/3, to the nearest integer?
30
What is 292069 to the power of 1/8, to the nearest integer?
5
What is the seventh root of 209231 to the nearest integer?
6
What is 1056668 to the power of 1/2, to the nearest integer?
1028
What is 309835 to the power of 1/2, to the nearest integer?
557
What is 249246 to the power of 1/6, to the nearest integer?
8
What is 4987757 to the power of 1/4, to the nearest integer?
47
What is 30175567 to the power of 1/2, to the nearest integer?
5493
What is 2358610 to the power of 1/2, to the nearest integer?
1536
What is 634323 to the power of 1/2, to the nearest integer?
796
What is the cube root of 207874 to the nearest integer?
59
What is 1651982 to the power of 1/2, to the nearest integer?
1285
What is 6021526 to the power of 1/2, to the nearest integer?
2454
What is 131654 to the power of 1/2, to the nearest integer?
363
What is the third root of 3953826 to the nearest integer?
158
What is 206940 to the power of 1/2, to the nearest integer?
455
What is the cube root of 194595 to the nearest integer?
58
What is 5806 to the power of 1/2, to the nearest integer?
76
What is 3957263 to the power of 1/3, to the nearest integer?
158
What is the third root of 177584 to the nearest integer?
56
What is the square root of 1692302 to the nearest integer?
1301
What is 456902 to the power of 1/8, to the nearest integer?
5
What is 137488 to the power of 1/3, to the nearest integer?
52
What is the square root of 8078708 to the nearest integer?
2842
What is the square root of 238139 to the nearest integer?
488
What is 302880 to the power of 1/4, to the nearest integer?
23
What is the square root of 59493 to the nearest integer?
244
What is 76685 to the power of 1/3, to the nearest integer?
42
What is 126645 to the power of 1/7, to the nearest integer?
5
What is the square root of 2447670 to the nearest integer?
1565
What is the cube root of 1353272 to the nearest integer?
111
What is the eighth root of 1864126 to the nearest integer?
6
What is the square root of 14501689 to the nearest integer?
3808
What is 1748145 to the power of 1/9, to the nearest integer?
5
What is 578979 to the power of 1/3, to the nearest integer?
83
What is 3319580 to the power of 1/8, to the nearest integer?
7
What is the square root of 5673151 to the nearest integer?
2382
What is the cube root of 34154263 to the nearest integer?
324
What is 16958505 to the power of 1/3, to the nearest integer?
257
What is the fourth root of 9623220 to the nearest integer?
56
What is the fifth root of 3904859 to the nearest integer?
21
What is the third root of 10416459 to the nearest integer?
218
What is the square root of 1506753 to the nearest integer?
1227
What is the fifth root of 300279 to the nearest integer?
12
What is the square root of 37280 to the nearest integer?
193
What is 10323295 to the power of 1/3, to the nearest integer?
218
What is the third root of 1579840 to the nearest integer?
116
What is 1511065 to the power of 1/4, to the nearest integer?
35
What is 54858 to the power of 1/3, to the nearest integer?
38
What is the tenth root of 4296362 to the nearest integer?
5
What is 10614464 to the power of 1/8, to the nearest integer?
8
What is the ninth root of 1554043 to the nearest integer?
5
What is the fourth root of 24965790 to the nearest integer?
71
What is the square root of 4523850 to the nearest integer?
2127
What is 1633323 to the power of 1/3, to the nearest integer?
118
What is 977607 to the power of 1/2, to the nearest integer?
989
What is 85747 to the power of 1/10, to the nearest integer?
3
What is 366940 to the power of 1/3, to the nearest integer?
72
What is 2943690 to the power of 1/9, to the nearest integer?
5
What is 285051 to the power of 1/3, to the nearest integer?
66
What is 150417 to the power of 1/7, to the nearest integer?
5
What is the square root of 465561 to the nearest integer?
682
What is the cube root of 4300572 to the nearest integer?
163
What is the square root of 22528378 to the nearest integer?
4746
What is the cube root of 1136967 to the nearest integer?
104
What is the ninth root of 2327096 to the nearest integer?
5
What is 560548 to the power of 1/7, to the nearest integer?
7
What is the third root of 213101 to the nearest integer?
60
What is the fifth root of 290223 to the nearest integer?
12
What is the square root of 6085907 to the nearest integer?
2467
What is the fifth root of 449727 to the nearest integer?
14
What is 9491018 to the power of 1/2, to the nearest integer?
3081
What is the ninth root of 485106 to the nearest integer?
4
What is the third root of 2945982 to the nearest integer?
143
What is 14786364 to the power of 1/8, to the nearest integer?
8
What is 14123650 to the power of 1/3, to the nearest integer?
242
What is the sixth root of 1312389 to the nearest integer?
10
What is 183339 to the power of 1/7, to the nearest integer?
6
What is the square root of 277462 to the nearest integer?
527
What is 182855 to the power of 1/4, to the nearest integer?
21
What is 19485972 to the power of 1/2, to the nearest integer?
4414
What is the square root of 2126007 to the nearest integer?
1458
What is the square root of 13951970 to the nearest integer?
3735
What is 243906 to the power of 1/3, to the nearest integer?
62
What is 13224979 to the power of 1/3, to the nearest integer?
236
What is the cube root of 418162 to the nearest integer?
75
What is 7412888 to the power of 1/3, to the nearest integer?
195
What is 466318 to the power of 1/2, to the nearest integer?
683
What is the ninth root of 256066 to the nearest integer?
4
What is the square root of 754648 to the nearest integer?
869
What is the square root of 138462 to the nearest integer?
372
What is the seventh root of 177964 to the nearest integer?
6
What is 1587898 to the power of 1/3, to the nearest integer?
117
What is 287260 to the power of 1/2, to the nearest integer?
536
What is 200228 to the power of 1/5, to the nearest integer?
11
What is the fourth root of 42
|
{
"pile_set_name": "DM Mathematics"
}
|
king 3 g and 1 j when four letters picked without replacement from gngncujgnnnucn.
1/1001
Four letters picked without replacement from {l: 4, u: 1, a: 3, d: 3}. What is prob of picking 2 d, 1 u, and 1 l?
2/55
Three letters picked without replacement from zwezzuzuwuezeuuwuz. What is prob of picking 1 u and 2 z?
15/136
Four letters picked without replacement from udaaduicipaipaca. What is prob of picking 1 d, 2 i, and 1 p?
3/455
Calculate prob of picking 2 s when two letters picked without replacement from {s: 1, t: 3, a: 5}.
0
Four letters picked without replacement from {e: 12, f: 1, l: 5}. Give prob of picking 2 l, 1 f, and 1 e.
2/51
Calculate prob of picking 1 c, 1 z, and 1 y when three letters picked without replacement from {c: 4, z: 3, g: 1, b: 2, y: 1, i: 1}.
3/55
What is prob of picking 2 o when two letters picked without replacement from ohowohowowowoowoow?
5/17
Four letters picked without replacement from llvilillillvllllvlvl. What is prob of picking 2 l and 2 v?
156/1615
Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {r: 2, o: 2, s: 1}.
2/5
Three letters picked without replacement from {f: 5, k: 1, d: 1, t: 2}. What is prob of picking 2 t and 1 k?
1/84
Calculate prob of picking 1 b and 1 c when two letters picked without replacement from dcddzzzbdd.
1/45
Calculate prob of picking 2 g, 1 p, and 1 o when four letters picked without replacement from lgpppopggplpllgglgp.
35/1292
What is prob of picking 2 r and 1 d when three letters picked without replacement from dydmddrrddyr?
9/110
What is prob of picking 1 u and 1 b when two letters picked without replacement from bbbbbubbbubbbbbbbbb?
34/171
Four letters picked without replacement from zzsssssdassszdsizs. Give prob of picking 3 d and 1 z.
0
Two letters picked without replacement from {k: 3, p: 5}. What is prob of picking 1 p and 1 k?
15/28
Four letters picked without replacement from {y: 1, j: 2, v: 1, e: 3, d: 3, k: 2}. What is prob of picking 2 d, 1 e, and 1 j?
2/55
Four letters picked without replacement from qhqyqhq. What is prob of picking 2 q and 2 h?
6/35
Calculate prob of picking 1 x and 3 g when four letters picked without replacement from {g: 3, i: 1, x: 3}.
3/35
Three letters picked without replacement from {v: 6, d: 1, j: 7, g: 4}. Give prob of picking 1 v, 1 d, and 1 g.
1/34
Two letters picked without replacement from qkkwoo. What is prob of picking 2 k?
1/15
Three letters picked without replacement from {k: 4, v: 1, b: 2}. Give prob of picking 2 k and 1 v.
6/35
What is prob of picking 1 q, 2 d, and 1 f when four letters picked without replacement from hdkfpkqd?
1/70
Three letters picked without replacement from {f: 5, p: 4, d: 10}. What is prob of picking 3 f?
10/969
Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {q: 2, w: 11}.
11/39
What is prob of picking 1 n and 2 j when three letters picked without replacement from jqqjnqjqjjjjj?
14/143
Four letters picked without replacement from rrrrrrrrr. What is prob of picking 4 r?
1
Three letters picked without replacement from {m: 5}. What is prob of picking 3 m?
1
Three letters picked without replacement from {y: 3, x: 2, n: 10, c: 5}. Give prob of picking 1 n, 1 x, and 1 c.
5/57
Four letters picked without replacement from {b: 3, j: 3, h: 5}. What is prob of picking 1 j, 2 h, and 1 b?
3/11
Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {y: 5, t: 12, p: 2}.
8/57
What is prob of picking 2 s when two letters picked without replacement from iqssxod?
1/21
Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {n: 1, i: 3, e: 1, s: 2, x: 5, f: 1}.
1/78
Three letters picked without replacement from ttucphttpt. What is prob of picking 1 t, 1 c, and 1 p?
1/12
Four letters picked without replacement from bbjjjbbjbjrbbjrbvrb. What is prob of picking 1 v and 3 b?
7/323
Calculate prob of picking 1 i, 1 q, and 2 y when four letters picked without replacement from ysyqslyiyycyyc.
3/143
Three letters picked without replacement from eee. Give prob of picking 3 e.
1
Three letters picked without replacement from vkkkypjjyjkjkyyjvkvx. Give prob of picking 1 v, 1 k, and 1 x.
3/190
Four letters picked without replacement from {p: 3, d: 4, m: 2, e: 1, u: 1, y: 4}. What is prob of picking 1 u, 1 p, 1 e, and 1 m?
2/455
Two letters picked without replacement from {w: 1, k: 1, p: 5, d: 1, l: 2}. Give prob of picking 1 k and 1 l.
2/45
Four letters picked without replacement from {v: 5, i: 5, w: 3, p: 2}. Give prob of picking 2 i, 1 p, and 1 w.
4/91
Calculate prob of picking 2 w, 1 i, and 1 e when four letters picked without replacement from {s: 1, w: 2, i: 1, o: 1, x: 2, e: 1}.
1/70
Four letters picked without replacement from wseswe. Give prob of picking 2 w and 2 s.
1/15
Four letters picked without replacement from erejferccflfcee. What is prob of picking 3 e and 1 l?
2/273
Four letters picked without replacement from {p: 4, l: 3, a: 4, f: 3, t: 3}. What is prob of picking 1 p, 2 t, and 1 f?
9/595
Two letters picked without replacement from {f: 5, p: 4, k: 2, r: 2}. What is prob of picking 1 f and 1 k?
5/39
Three letters picked without replacement from iwugxig. Give prob of picking 1 g, 1 u, and 1 x.
2/35
Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {d: 7, h: 1, r: 2, p: 10}.
7/19
Two letters picked without replacement from {o: 2, q: 2, u: 1, x: 1}. What is prob of picking 1 x and 1 o?
2/15
Two letters picked without replacement from {q: 1, b: 5, f: 1, z: 1, s: 1, i: 4}. Give prob of picking 1 f and 1 z.
1/78
Two letters picked without replacement from ffjjmwjjj. Give prob of picking 2 f.
1/36
Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {p: 14, m: 1}.
2/15
What is prob of picking 1 z and 1 t when two letters picked without replacement from {u: 1, t: 8, z: 3, v: 6}?
8/51
What is prob of picking 2 g when two letters picked without replacement from sghyaga?
1/21
Calculate prob of picking 2 a, 1 z, and 1 i when four letters picked without replacement from aizimaziagmmaaiizmmi.
12/323
Calculate prob of picking 2 c when two letters picked without replacement from ncbbbtnnnaccbbba.
1/40
Two letters picked without replacement from {x: 1, y: 2, e: 2, a: 1}. Give prob of picking 2 y.
1/15
Two letters picked without replacement from ffhorvhom. Give prob of picking 1 r and 1 m.
1/36
What is prob of picking 4 i when four letters picked without replacement from {s: 5, i: 7}?
7/99
Four letters picked without replacement from {m: 2, i: 1, o: 3, h: 6, j: 5, p: 2}. What is prob of picking 2 j and 2 p?
5/1938
Three letters picked without replacement from ychucyeucchvchh. Give prob of picking 2 h and 1 y.
12/455
Four letters picked without replacement from ququuqqucc. Give prob of picking 1 q and 3 u.
8/105
Calculate prob of picking 1 t, 1 b, and 1 f when three letters picked without replacement from tittbitttitttftb.
1/28
What is prob of picking 2 b and 1 d when three letters picked without replacement from {y: 1, b: 2, c: 1, d: 3, i: 1, w: 5}?
3/286
What is prob of picking 2 v when two letters picked without replacement from vhhvjhvzzvp?
6/55
Calculate prob of picking 3 n when three letters picked without replacement from {n: 17, m: 2}.
40/57
What is prob of picking 1 i and 1 r when two letters picked without replacement from icjjr?
1/10
Calculate prob of picking 2 n and 1 y when three letters picked without replacement from {b: 3, x: 1, n: 5, u: 4, y: 1, j: 4}.
5/408
What is prob of picking 1 n and 1 h when two letters picked without replacement from shhhshhhshhnhhh?
11/105
Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {b: 3, c: 7}.
7/15
What is prob of picking 1 x and 3 a when four letters picked without replacement from papaaxxpa?
4/63
Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {q: 4, c: 2, f: 1, t: 6, y: 7}.
14/95
Four letters picked without replacement from {m: 3, g: 1, r: 4}. Give prob of picking 3 r and 1 g.
2/35
What is prob of picking 2 g when two letters picked without replacement from mggoomggoo?
2/15
Calculate prob of picking 1 j, 2 o,
|
{
"pile_set_name": "DM Mathematics"
}
|
*(-1)/k)/k)**(3/2) assuming k is positive.
k**(-9/2)
Simplify (((o*o*o/(o/o**2)*o)/o)/o*o*o**(-2/3))/(o**(-2/9)/(o**0/o)) assuming o is positive.
o**(23/9)
Simplify (s**(-15)*s)**(-43) assuming s is positive.
s**602
Simplify (y*y*y/y**(-9))/(y**(-8)/y)*(y**(1/15)/y)/(y/(y/y**(-1/4))) assuming y is positive.
y**(1219/60)
Simplify (q**2)**5*(q/((q/q**(-4/11))/q*q))/q**(-1/9) assuming q is positive.
q**(965/99)
Simplify t**(2/43)/(t*t*t**(-4/9)*t) assuming t is positive.
t**(-971/387)
Simplify g**15/(g*g**(1/23)/g) assuming g is positive.
g**(344/23)
Simplify ((a/((a**1/a)/a))/a*(a**(6/7)*a)/a)**(1/11) assuming a is positive.
a**(13/77)
Simplify (c/c**(-7)*c)/(c*c**16*c*c) assuming c is positive.
c**(-10)
Simplify (w*w*w/((w*w/(w/w**(-9/4)*w))/w))/(((w/((w**(-11/7)*w)/w)*w*w)/w)/w) assuming w is positive.
w**(103/28)
Simplify ((b/(b**(1/4)/b))/b)**(-2/33)*(b/(b/b**(1/3)))/((b*b**(-3/5))/b*b) assuming b is positive.
b**(-37/330)
Simplify ((j/j**(6/11))/(j/((j/((j*j*j**(1/7)*j)/j))/j)))**45 assuming j is positive.
j**(-9315/77)
Simplify l*l*l/(l/l**0)*l*l*l/l**3*(l/(l/(l/(l**(-2)*l))))**(1/24) assuming l is positive.
l**(25/12)
Simplify (k*((k*k/k**(-20))/k)/k)/k**(5/6) assuming k is positive.
k**(121/6)
Simplify (n**(-1/4)*n*n**(-5/2))**(-28) assuming n is positive.
n**49
Simplify (v**(-8)/v**(2/3))**9 assuming v is positive.
v**(-78)
Simplify h**(4/15)*h**18 assuming h is positive.
h**(274/15)
Simplify (v/v**0)**7*(v**0)**(-4) assuming v is positive.
v**7
Simplify z**(-2/13)*z**(-1/13)/z assuming z is positive.
z**(-16/13)
Simplify ((c*c**(4/7))/c)**(4/5) assuming c is positive.
c**(16/35)
Simplify (q**1)**(-27/7)/(q*q*q*q*q*q/(((q*(q/(q/((q*q*q**(-2/3)/q)/q)*q))/q*q)/q)/q)*q)**(-1/54) assuming q is positive.
q**(-4171/1134)
Simplify ((n*(n*n*n**(-3/8)*n*n)/n)/((n**(1/3)/n)/n*n))/(n**(5/4)/n*n**(-3)/n) assuming n is positive.
n**(193/24)
Simplify (x/(x/x**(-13)))**(-28/9) assuming x is positive.
x**(364/9)
Simplify (z**14/z)/z*z*z**(-2/39) assuming z is positive.
z**(505/39)
Simplify k**(3/23)*(k**(-5)/k)/k assuming k is positive.
k**(-158/23)
Simplify (v*v*(v**(1/2)*v)/v*v)**(-8)/((v**(-3/2)/v)/(v*(v/(v*v**(-8)/v*v))/v)) assuming v is positive.
v**(-35/2)
Simplify (w**(2/23))**32 assuming w is positive.
w**(64/23)
Simplify (n/n**(-8)*n*n**(-3)/n)/(n**(-3/5)/n**(-1/8)) assuming n is positive.
n**(259/40)
Simplify (z*(z*z**2/z)/z*z**(-5/2))**(-1/69) assuming z is positive.
z**(1/138)
Simplify j*j/(j*j/j**7)*j**(-1/7)/j*(j*j/(j*j**(-1/10)*j)*j)/((j**(-1/7)*j)/j) assuming j is positive.
j**(71/10)
Simplify (j/(j**0/j)*j)/j**2*(j*j*j*j/(j**(-2/17)*j))/(((j**(2/3)*j)/j)/j) assuming j is positive.
j**(227/51)
Simplify ((h*h*h/h**(1/4))**(-30))**31 assuming h is positive.
h**(-5115/2)
Simplify ((g*g*g**10)/g**3)**9 assuming g is positive.
g**81
Simplify (i/i**(-39))**(-8/7) assuming i is positive.
i**(-320/7)
Simplify u**(5/3)*((u*(u*u**(1/6)*u)/u)/u)/u*u**(-4)*u**(7/3)/u assuming u is positive.
u**(-5/6)
Simplify (u**(2/31))**(-1/6) assuming u is positive.
u**(-1/93)
Simplify (k*k*k**(1/5))/k*k**(-6/7)*(k*k**(2/3)/k*k)**(-5/6) assuming k is positive.
k**(-659/630)
Simplify (t**(-3/7)/(t/(t*(t*t*t**(-6))/t)))/(t**(-1)/t)**47 assuming t is positive.
t**(620/7)
Simplify ((g/((g**(-14)/g*g)/g*g*g))/g)/g**(-5) assuming g is positive.
g**18
Simplify ((u**2)**(-42))**(-5/19) assuming u is positive.
u**(420/19)
Simplify ((q/q**(-3))**(-10/9))**(1/39) assuming q is positive.
q**(-40/351)
Simplify (b/b**4)/(b/b**(-7)) assuming b is positive.
b**(-11)
Simplify ((x/(x/x**1))/x)**(2/37)*((x/x**(1/3))/x)**(1/25) assuming x is positive.
x**(-1/75)
Simplify ((a/(a/(a**(2/5)/a)))**(-5/13))**19 assuming a is positive.
a**(57/13)
Simplify (r/(r/(r**(-7)*r*r)))/((r*(r**(-15)/r)/r*r*r)/r) assuming r is positive.
r**10
Simplify (s**(-31))**38 assuming s is positive.
s**(-1178)
Simplify ((((w*w**(2/41))/w)/w)/(w*w**(1/7)))**(-40) assuming w is positive.
w**(24040/287)
Simplify (w*w**(-4/3))/w**(-3/28) assuming w is positive.
w**(-19/84)
Simplify ((d*d/((d/(d/(d**(-1/2)/d)))/d))**32)**(-25) assuming d is positive.
d**(-3600)
Simplify (w/(w/(w*w**0*w)*w)*w)**17*w**(2/15)/w**(-2/5) assuming w is positive.
w**(518/15)
Simplify ((v*v**6)/(((v**(-4)*v*v)/v*v)/v))/(v*v**5*v**(1/2)) assuming v is positive.
v**(7/2)
Simplify (c**(2/65)/(c*c*c/(c*c**(-20))*c))**(-44) assuming c is positive.
c**(65692/65)
Simplify ((t*t**(-3/8))/t**(-3/14))**(-1/38) assuming t is positive.
t**(-47/2128)
Simplify w**(1/3)*w*w**13 assuming w is positive.
w**(43/3)
Simplify (k/k**(-1))**35*(k*k*k**(-2/15)*k)/(k**5*k) assuming k is positive.
k**(1003/15)
Simplify l**(-3)/l*l*(l/l**3)/l*l*(l**(-6)/l)/((l**(-7)*l*l)/l) assuming l is positive.
l**(-6)
Simplify ((w**(-2/3)*w*w)/w*w**3)**(3/19) assuming w is positive.
w**(10/19)
Simplify ((q**3)**(-12))**49 assuming q is positive.
q**(-1764)
Simplify y**6/y*y/(y*y**(2/13)) assuming y is positive.
y**(63/13)
Simplify n**(2/3)*n**1*(n*n**8*n*n)/(n*n**1*n*n*n) assuming n is positive.
n**(23/3)
Simplify (((b*b*b**(-2/21)/b)/b*b)/b*b*b*b*b**(1/10)*b*b)/((b*b**(1/12)*b)/(b**(-2/5)/b*b)) assuming b is positive.
b**(353/140)
Simplify (u**(2/5)/u)**(2/5) assuming u is positive.
u**(-6/25)
Simplify ((d/((d/d**6)/d))**(-2/37))**(-30) assuming d is positive.
d**(420/37)
Simplify b/(b/(b/(b/(b/(b*b**(2/23)*b)))*b))*(b/(((b*(b/((b/(b**19/b))/b*b)*b)/b)/b*b)/b)*b)/b assuming b is positive.
b**(-393/23)
Simplify (w*(w*w/(w*w**(-6)*w))/w*w**(2/11))/(w/w**(2/7)*w*w**(-7)/w*w) assuming w is positive.
w**(883/77)
Simplify (g**(3/2))**(22/7) assuming g is positive.
g**(33/7)
Simplify ((a*(a*a/(a**4/a)*a*a)/a)/(a*a/(a**(2/3)/a*a)*a))**(2/13) assuming a is positive.
a**(-8/39)
Simplify (c*c**2*c*c/c**(-4/3)*c)**(-11) assuming c is positive.
c**(-242/3)
Simplify (f**(-3)/f)/f**(-1/7)*f*f**6*f*f**(1/4)*f assuming f is positive.
f**(151/28)
Simplify (c/c**9)/(c*c**(-4/7)*c) assuming c is positive.
c**(-66/7)
Simplify g/(g**(2/11)/g)*g*(g*g**(-3)*g*g)/g*(g*(g*g**(2/17)/g)/g)/((g/(g*g**7))/g) assuming g is positive.
g**(1858/187)
Simplify (j*((j**(-9/5)*j)/j)/j)/(j*j*j*(j*j/(j/((j**3/j)/j))*j)/j)*j**(-3/8)*(j**(-4)*j)/j assuming j is positive.
j**(-447/40)
Simplify (r*(r*r**(2/7))/r)**(1/5)/(((r**(-5)*r)/r)/r**(-3/4)) assuming r is positive.
r**(631/140)
Simplify (l**(10/7)*l)/(l/(l/l**(3/5))) assuming l is positive.
l**(64/35)
Simplify ((x*x/((x*x*x**9*x)/x)*x)/x**(2/5))/(x*x**(-1/5))**(-18) assuming x is positive.
x**6
Simplify (u*u**(-5)*u)/((u*(((u/u**(4/5))/u)/u)/u*u*u)/u) assuming u is positive.
u**(-11/5)
Simplify s*s*s**(-4)*s**(-2/19) assuming s is positive.
s**(-40/19)
Simplify t**4/t**(-2/5)*t/(t/(t*(t/(t**(6/7)*t)*t)/t))*t*t**5 assuming t is positive.
t**(369/35)
Simplify h**(-16)*h**14 assuming h is positive.
h**(-2)
Simplify (r**(-2)*r)/(r*r**(-4/5))*r*(r*r**(1/5)*r)/r*r**(-3)*r*r*r assuming r is positive.
r
Simplify (n*n**1)**24*(n/(n**(-2/5)*n))**(1/5) assuming n is positive.
n**(1202/25)
Simplify (n**(-3/4)/(((n*n/((n/((n*n**(-5))/n))/n))/n)/n))/(((n**1/n)/n)/n**(-7)) assuming n is positive.
n**(-7/4)
Simplify (r**(-1)/r*r*r*r)/(r/((r**1*r)/r)) assuming r is positive.
r
Simplify d**13/((d/(d*d**(-2/9)))/d) assuming d is positive.
d**(124/9)
Simplify (a/a**7)/(a**(1/12)/a) assuming a is positive.
a**(-61/12)
Simplify w/(w*w*w**15*w)*w*w**(1/8) assuming w is positive.
w**(-127/8)
Simplify ((v**(-1/2))**(1/10))**(14/9) assuming v is positive.
v**(-7/90)
Simplify (h*h*((h/((h**8/h)/h))/h)/h*h)**(-35) assuming h is positive.
h**140
Simplify (p**(-2/5))**31*p*p**(-1)*p**(5/3) assuming p is positive.
p**(-161/15)
Simplify a**(-30)/(a*a**31) assuming a is positive.
a**(-62)
Simplify ((t/(t*t**(1/7)*t)*t)/t**0)/((t*t*t**1*t)/t*t*t/t**(1/3)) assuming t is positive.
t**(-101/21)
Simplify (((r**7*r)/r)/r*r*r/((r/(r**1/r))/r))/(((r**(2/3)/r*r)/r)/(r/(r/(r*r*r*r*r**(-1/5)*r)))) assuming r is positive.
r**(197/15)
Simplify (v**(6/5)*v/(v/(v**(3/4)/v*v)))/(v**(3/4)/v**(-3/8)) assuming v is positive.
v**(33/40)
Simplify (q*q**(-8))/(q*q/q**(-1))*(q/q**(-4))/q**(-3) assuming q is positive.
q**(-2)
Simplify ((n/((n**4*n)/n*n*n))/n**7)**2 assuming n is positive.
n**(-24)
Simplify (o**(-1)/(o*o**(-7)*o))**(-41) assuming o is positive.
o**(-164)
Simplify ((v**(1/4)/v*v)/v*(v/v**2)/v)/(v**
|
{
"pile_set_name": "DM Mathematics"
}
|
/19*(-15)/(-10)
-5
What is 8385/5031*(-3)/(-15)*201?
67
Evaluate (((-28)/350)/(7/(-315)*3))/(9/(-420)).
-56
Calculate (-104)/512*-16*-16.
-52
(20/42)/((-7735)/21658)
-4/3
((96/(-9))/(-8))/(((-770)/(-15))/(-7))*-5
10/11
Calculate ((-4125)/550)/(115/(-4)).
6/23
Calculate ((-7)/(28/18))/((18/165)/(172/(-215))).
33
((-14)/(-3))/((-1)/(-27)*(-315)/(-30))
12
Calculate ((-13)/(-65))/((-1*(-36)/50)/((-92)/(-2530))).
1/99
Evaluate ((-1449)/(-1127))/(6/28)*1*22/(-4).
-33
Calculate ((-18)/8)/((-720)/840*35/80).
6
What is the value of ((-9)/140)/(3678/25746)?
-9/20
Calculate ((-136)/4046)/((-103)/(-2163)).
-12/17
What is ((-144)/(-3780))/(((-76)/(-5))/19)?
1/21
What is (((-60)/126)/(495/1782))/((-20)/(-154))?
-66/5
Evaluate 16/5*(-419650)/(-12320).
109
6/(-33)*-33*(-26)/(-18876)
1/121
What is ((-38415)/1970)/(15/(-2))?
13/5
Calculate (-399)/(1527372/(-264))*1*841.
58
Evaluate (25/(-30))/(((-260)/13)/(-600)).
-25
((-44)/((-11220)/1377))/((-63)/(-350))
30
What is the value of (((91200/(-325))/16)/((-20)/390))/3?
114
What is the value of (4/(-24))/((-14289)/866)?
1/99
What is (-1056)/(-56)*721/3090?
22/5
Calculate (3/8*4)/((-333)/23754).
-107
What is the value of (77959/(-58867))/((-5)/370)?
98
What is (-230)/(-4)*29*212/15370?
23
Evaluate (26/60)/((1806/(-56))/129)*(-5)/(-4).
-13/6
Evaluate -2*6/(-2)*(66/264)/(44/32).
12/11
What is (-6)/(-4)*((-210112)/(-12))/(-49)*1/(-8)?
67
(42/(-9)*-18*(-4)/(-196))/((-4800)/(-224000))
80
Evaluate (-6*(-6)/(-420))/((960/100)/12).
-3/28
What is 275*100/2500*4/(-242)?
-2/11
Calculate (-51)/(-34)*9*320/(-240).
-18
What is (10206/(-105))/27*(-1260)/(-162)?
-28
What is the value of -7*2/273*(-403)/2?
31/3
(((-5)/9)/5)/(17619/11746)
-2/27
(-8)/1334*2093/(-182)
2/29
What is the value of (144631/(-7113))/((-122)/12)?
2
Calculate ((-133)/532*(-246)/18)/((-1)/(-24)).
82
9/((-243)/(-6))*(-3)/((-108)/(-18))
-1/9
Calculate (((-1)/30)/1)/(15*(-127)/5715).
1/10
Evaluate ((-86)/(-946))/((-2)/(-40))*-11.
-20
Evaluate (-9)/((-17)/136*((-98)/7)/7).
-36
(2/725)/((-53)/530)*2805/(-374)
6/29
Evaluate ((-1)/((-3)/92))/((-200)/(-180)*24/20).
23
What is the value of ((-13)/(-26)*14/15)/(826/708)?
2/5
Evaluate (-5)/((-20)/(-6))*(126/81)/((-2821)/(-78)).
-2/31
Calculate ((-7)/15)/(8/6*1989/7956).
-7/5
(-1246200)/(-726950)*(18/(-8))/((-2)/28)
54
Calculate (138/3*(-2)/(-28)*1)/((-2552)/(-4466)).
23/4
Evaluate (-1)/((-5)/6)*2322/3483*370/(-4).
-74
Calculate (2187/54)/(-27)*1/(-27)*-3.
-1/6
What is (-21)/153*7*(-6)/(-147)?
-2/51
(((-3)/(-33))/((-1785)/11781))/((-6)/485)
97/2
Evaluate (54/3312*-23)/(9/(-15)).
5/8
Evaluate (((-3)/(-108))/(496/(-19840)))/((-2)/(-4)).
-20/9
What is the value of (-34)/14*(-1874)/15929*-434?
-124
Evaluate 1352040/(-9488)*6/9.
-95
Evaluate (22/(-66)*15/(-5))/(7/(-91)).
-13
Calculate (-5)/(136/(381888/520)).
-27
What is the value of (42/3)/((25/(-70))/(55/(-11))*-2)?
-98
What is the value of (-175)/100*(8/(-6))/(132/99)?
7/4
What is (17/(-2210))/((-60)/(-20)*(-4)/(-24))?
-1/65
Evaluate 85288/(-1201647)*6/56.
-2/263
What is the value of (-5)/(-35)*-57*280/120?
-19
What is the value of ((-3)/2)/((-4)/208*384/(-64))?
-13
Calculate ((-47424)/(-20520)*(-10)/(-48))/((-2)/12).
-26/9
What is the value of ((-213)/(-9940)*-35)/((-2)/(-106)*(-24)/64)?
106
Evaluate -24*84/(1344/32).
-48
What is the value of ((-48)/208)/(14*(-11)/18018)?
27
What is ((-8)/96)/(117/351)?
-1/4
Evaluate 21014/(-553)*-7*(-3)/(-63)*-3.
-38
What is (-75)/(-975)*663*(-2)/2?
-51
Calculate (-10*(-80)/140)/(4/28).
40
((-5)/10*(-1850)/333)/(6/27)
25/2
What is the value of 7*2/14*134/(-3082)?
-1/23
What is 48/828*(-84)/56?
-2/23
What is the value of 688/(-10)*245/(-196)*(-1)/1?
-86
((-10919)/1113738)/(1/(-2))
1/51
What is the value of (70/50*-4)/(25/(-125))?
28
What is 35*(-47)/(6110/234)?
-63
Calculate (6/(-20)*1064/(-6384))/(-2).
-1/40
What is the value of 9/(117/(-2236))*(-104)/(-208)?
-86
What is the value of (12/(-5))/(165/(-1362900)*-177)?
-112
Evaluate -71*(-27169)/38198*2/(-1).
-101
What is the value of (4/(-3))/(2284/46251)?
-27
What is the value of 9/30*-12*265/1272*4*45?
-135
What is the value of 5*((-33633)/1414*(-14)/(-60))/(840/(-224))?
37/5
((-14155)/(-65113))/((-5)/(-4))
4/23
((152/(-19))/32)/(13*100/975)
-3/16
(-16)/2328*21/14
-1/97
Calculate ((-470)/(-55))/(1212/(-19998)).
-141
Calculate (3/(-7))/(21875/(-18375)*-2*1/(-10)).
9/5
What is the value of (54/(-360))/((-3)/(-140)*(-1235)/(-247))?
-7/5
What is the value of 3*7/((-1246)/267)?
-9/2
Calculate 12167/(-15870)*(-2)/23.
1/15
Calculate ((-136)/(-10))/((-3488)/12208*(56/10)/(-4)).
34
What is the value of (8/(-33))/(10/30*(-141)/517)?
8/3
1528/(-31324)*287/(-77)
2/11
What is ((-83984)/99731)/((-4)/(-114))?
-24
What is (-2)/(((42705/(-1022))/(-117))/(15/(-6)*-4))?
-56
Calculate ((-2)/(-30))/((-5)/6*((-2646)/405)/(-49)).
-3/5
((-12)/(-108)*-3)/((14/(-63))/((-356)/(-6)))
89
What is the value of ((6/(-62))/(-3))/(1007/(-4028))?
-4/31
Evaluate 4/(-2)*4/10*75/150.
-2/5
What is 3012/(-2510)*1300/120?
-13
What is the value of (-486)/270*(-261)/(-81)?
-29/5
What is the value of (35/60)/((-1617)/(-99))*36?
9/7
(-4560)/3876*306/225
-8/5
(-7)/((4/130)/((-2046)/71610))
13/2
What is ((-1590)/59784)/((-3)/(90/75))?
1/94
Calculate (-6688)/(-132)*88/2816.
19/12
What is the value of (117/153)/(-50*76/(-16150))?
13/4
What is (-4)/(-2)*(-31)/(-193161)*93?
2/67
What is the value of ((-16)/960*-20)/((-7)/6*(-10)/(-30))?
-6/7
What is the value of ((-637)/(-1365))/((-2)/(180/(-35)))?
6/5
Calculate (-36)/(-336)*28/21*36/((-96)/8).
-3/7
Calculate (-2)/(161/(177100/160)).
-55/4
((2/(-15))/((-1210)/5445))/((-8)/30)*28
-63
What is the value of (-2)/(-2)*(-12789)/2058*14?
-87
Evaluate (-3)/(33/44)*(-690)/(-1196).
-30/13
(344/473)/((-24)/4818)
-146
What is the value of (((-440)/100)/(-11))/(-10*(-2)/420)?
42/5
What is ((-67)/((-3685)/(-242)))/((-3)/(-15))?
-22
Evaluate (21/33)/((-3040)/(-66880)).
14
What is the value of ((9/6)/(-1))/((242/22)/176)?
-24
What is the value of (((-413)/3)/(-7))/((6600/(-75))/264)?
-59
1*736/4*((-7)/(-28))/((-2)/(-2))
46
(-14*(-80)/224*(-8)/210)/((-1358)/291)
2/49
What is the value of (-237)/2*10866/16299?
-79
Calculate (190/399)/(((6/20)/(-1))/((-168)/120)).
20/9
Evaluate (-6)/196*-133*(-300)/19950.
-3/49
What is (1516/(-758))/(6/9*18/2)?
-1/3
What is ((-6)/2)/18*(-8)/2800*-25*21?
-1/4
What is the value of (-1872)/104*(-195)/270?
13
Calculate -23*47/1081*-4*(-2)/584.
-1/73
What is the value of 18*(-408)/252*5/70*49?
-102
What is the value of (((-1575)/(-56))/(-15))/((-81)/864)?
20
What is the value of (73870/249)/(-178)*(32/(-12))/4*63?
70
Calculate -88*(-7)/2*321/2247.
44
21/105*9/(63/(-14))*(-15)/(-39)
-2/13
(-5)/7*(-44)/264*(-8)/(-10)
2/21
((1/9)/(255/(-29835)))/((-1)/((-4)/2))
-26
Evaluate (4/32*104/73788*-88)/(2/6).
-2/43
Evaluate -3*(-16)/24*8/(-12)*-3.
4
What is the value of 35/(55*16/(-528))?
-21
Calculate 1/(11*(-850)/(-2200)).
4/17
Evaluate (610/244)/(99/(-18)).
-5/11
What is ((-5)/(75/(-1)))/((-208)/78)?
-1/40
Calculate ((-163)/(-652))/((-5)/(-48)).
12/5
((-13728)/(-2912))/(55/105)
9
((-19)/(-3))/(1413315/70470)
6/19
((-20944)/32)/77*3/3*2
-17
What is the value of ((-8)/4*(-14)/(-84))/(74/(-12))?
2/37
Calculate ((-4)/18)/(((-6)/1728*-24)/(-9)).
24
(-72)/2*(-3)/((-2)/(-24)*4*-9)
-36
What is ((-24)/(-16))/((-3)/(-4))*(-384)/((-144)/9)?
48
What is the value of 67/(-80)*(-23360)/292?
67
Evaluate ((-40)/9)/(9/(-1944)*24).
40
What is the value of 2/((-44)/5)*535248/(-95580)?
14/11
What is ((1520/(-36))/10)/((-49)/(-441))?
-38
What is (10/((-26980)/(-38)))/(7/(7/1))?
1/71
What is (55/(2750/60))/(15678/335)?
1/39
Calculate (216/(-112))/(213/142).
-9/7
Evaluate -44*2*((-34)/(-51))/((-5)/((-45)/(-12))).
44
Evaluate ((-45)/(-54)*21/(-10))/(7/(168/30)).
-7/5
Evaluate (4/(-12)*3)/(((-10)/62)/5*1).
31
What is 5710/6852*(-24)/1?
-20
Calculate (-24)/30*31*(3395/28)/(-97).
31
Calculate ((8/(-108))/(344/6192))/((-44)/42).
14/11
What is ((-366)/3843)/(143/77)?
-2/39
What is (477/((-231822)/2268))/((-2)/9*8)?
21/8
What is the value of (-176)/(-132)*246/32*32/(-8)?
-41
Evaluate (3802/11406)/(-2*1/52).
-26/3
Calculate (-386)/579*(-435)/638.
5/11
What is (-9*((-16)/(-198))/((-92)/(-69)))/((-4)/22)?
3
What is (-52)/3*(-2115)/9870?
26/7
Evaluate ((-58)/(25056/360))/(33/(-18)).
5/11
(-18)/6741*((-12)/(504/21))/(
|
{
"pile_set_name": "DM Mathematics"
}
|
t is prob of sequence ieqs when four letters picked without replacement from {s: 1, i: 9, o: 1, e: 7, q: 2}?
7/6460
Calculate prob of sequence hne when three letters picked without replacement from nsnsnshshsessnnsenh.
2/323
Calculate prob of sequence ug when two letters picked without replacement from {u: 1, j: 7, e: 2, g: 1, f: 1, m: 2}.
1/182
Calculate prob of sequence dwxu when four letters picked without replacement from kwuuzdwwxzxzwww.
1/1365
What is prob of sequence epz when three letters picked without replacement from pwzzepwwwezeez?
4/273
Calculate prob of sequence rder when four letters picked without replacement from pdrwepr.
1/420
What is prob of sequence wrz when three letters picked without replacement from {w: 1, z: 1, r: 2, v: 1, o: 1, p: 2}?
1/168
Four letters picked without replacement from {q: 9}. Give prob of sequence qqqq.
1
What is prob of sequence fp when two letters picked without replacement from {f: 4, y: 6, m: 2, p: 4, k: 1}?
1/17
What is prob of sequence pnn when three letters picked without replacement from {a: 2, n: 6, p: 4}?
1/11
Calculate prob of sequence bbb when three letters picked without replacement from {g: 7, b: 3}.
1/120
Three letters picked without replacement from {y: 4, d: 3, p: 1}. What is prob of sequence dpd?
1/56
What is prob of sequence jj when two letters picked without replacement from jpppjfpfjj?
2/15
What is prob of sequence yy when two letters picked without replacement from ryyryryryyyryy?
36/91
Three letters picked without replacement from {c: 2, e: 1, k: 1}. What is prob of sequence cke?
1/12
Two letters picked without replacement from {h: 3, j: 17}. What is prob of sequence hj?
51/380
Three letters picked without replacement from {o: 3, v: 2, y: 8, z: 1, u: 1, x: 1}. What is prob of sequence ooo?
1/560
Three letters picked without replacement from {d: 2, k: 1, x: 2, l: 1, u: 1, j: 2}. Give prob of sequence xdl.
1/126
What is prob of sequence momm when four letters picked without replacement from omomzmmmomommm?
12/143
What is prob of sequence ow when two letters picked without replacement from {w: 6, m: 3, z: 3, o: 4, q: 2, h: 1}?
4/57
What is prob of sequence yyyb when four letters picked without replacement from yybyybyybbbyyyyy?
165/1456
What is prob of sequence hhc when three letters picked without replacement from {c: 1, h: 2, q: 4, x: 2}?
1/252
Four letters picked without replacement from rnaybynnyay. Give prob of sequence anba.
1/1320
Four letters picked without replacement from {w: 1, j: 14, i: 1, d: 2, z: 2}. Give prob of sequence jjjj.
1001/4845
What is prob of sequence ut when two letters picked without replacement from {y: 4, u: 1, t: 1, b: 1, q: 2}?
1/72
Two letters picked without replacement from {l: 6, q: 1, w: 3, m: 2, s: 5}. What is prob of sequence sm?
5/136
Three letters picked without replacement from {o: 2, d: 1, p: 2, k: 8}. What is prob of sequence ppo?
1/429
Three letters picked without replacement from ipippppipipiippppip. What is prob of sequence ppp?
220/969
Two letters picked without replacement from hqwzovwwhhwhhw. Give prob of sequence vh.
5/182
Two letters picked without replacement from {l: 1, h: 1, j: 1, p: 1, r: 1}. Give prob of sequence rp.
1/20
Calculate prob of sequence jj when two letters picked without replacement from jrbjcmcbmcjj.
1/11
Calculate prob of sequence frc when three letters picked without replacement from ysyssskcsskcrskkfskf.
1/1710
What is prob of sequence gee when three letters picked without replacement from eqgqqdqqggqeqe?
3/364
Two letters picked without replacement from tttttttjtjj. Give prob of sequence tj.
12/55
What is prob of sequence xiim when four letters picked without replacement from iiibmbxxmixiiiimi?
27/2380
What is prob of sequence oy when two letters picked without replacement from {b: 1, o: 5, a: 1, y: 1, k: 3}?
1/22
What is prob of sequence lb when two letters picked without replacement from {f: 4, p: 1, l: 1, w: 1, b: 3, t: 4}?
3/182
What is prob of sequence ych when three letters picked without replacement from bhybhycyyhbjb?
1/143
Calculate prob of sequence md when two letters picked without replacement from {v: 1, m: 2, c: 2, d: 1, w: 1}.
1/21
Three letters picked without replacement from {d: 11, i: 2}. What is prob of sequence ddi?
5/39
What is prob of sequence bbb when three letters picked without replacement from bbrrbbb?
2/7
Two letters picked without replacement from {y: 5, x: 2, u: 4, a: 7}. Give prob of sequence ua.
14/153
Calculate prob of sequence kz when two letters picked without replacement from kzzkzzkkzz.
4/15
Two letters picked without replacement from {s: 2, g: 1, v: 1, e: 1, d: 1, u: 1}. Give prob of sequence ve.
1/42
Four letters picked without replacement from {y: 2, q: 4}. Give prob of sequence qqyy.
1/15
Three letters picked without replacement from {j: 3, o: 4, e: 11}. What is prob of sequence oee?
55/612
Three letters picked without replacement from {i: 2, t: 3, y: 7, m: 1, e: 3, z: 2}. What is prob of sequence zyt?
7/816
Calculate prob of sequence uuxm when four letters picked without replacement from {m: 3, u: 5, x: 4}.
2/99
Four letters picked without replacement from kbyvkrbkrrrfkv. Give prob of sequence brvk.
8/3003
Three letters picked without replacement from {k: 7, c: 4, f: 2, s: 1}. What is prob of sequence csc?
1/182
Calculate prob of sequence iii when three letters picked without replacement from yiydiydiydd.
1/165
Four letters picked without replacement from jjjujjjuujjjuujjjj. Give prob of sequence jjuj.
143/1224
What is prob of sequence od when two letters picked without replacement from oqbnd?
1/20
What is prob of sequence ye when two letters picked without replacement from eeeeyeeeyee?
9/55
Two letters picked without replacement from {f: 3, s: 1, p: 1, l: 1, m: 1}. What is prob of sequence fm?
1/14
Two letters picked without replacement from jjusj. Give prob of sequence sj.
3/20
Two letters picked without replacement from eara. Give prob of sequence er.
1/12
Two letters picked without replacement from {q: 2, a: 2, u: 1, n: 1, h: 3, g: 3}. Give prob of sequence ha.
1/22
Four letters picked without replacement from mzmzzzzzzz. What is prob of sequence zmmz?
1/45
Four letters picked without replacement from {q: 1, p: 3, v: 11, r: 1, m: 2, a: 1}. What is prob of sequence vmpr?
11/15504
Two letters picked without replacement from sclgsza. What is prob of sequence gl?
1/42
What is prob of sequence aa when two letters picked without replacement from aaaaaagaaaaagaaaaaa?
136/171
What is prob of sequence ii when two letters picked without replacement from ajadadaaaajdiadv?
0
Four letters picked without replacement from {o: 2, i: 2}. Give prob of sequence iioo.
1/6
Two letters picked without replacement from lbyfbfbyblbblfyfl. What is prob of sequence yy?
3/136
What is prob of sequence pzpz when four letters picked without replacement from {p: 7, z: 4}?
7/110
Four letters picked without replacement from {r: 2, o: 2, u: 4, q: 1, x: 1}. What is prob of sequence uxqu?
1/420
Three letters picked without replacement from xoonzmmnononnx. What is prob of sequence mmo?
1/273
Calculate prob of sequence eem when three letters picked without replacement from {m: 4, v: 9, e: 3}.
1/140
Three letters picked without replacement from {q: 2, b: 5}. Give prob of sequence qbq.
1/21
Two letters picked without replacement from {h: 2, p: 7, z: 2}. Give prob of sequence zz.
1/55
Calculate prob of sequence voro when four letters picked without replacement from ooooovovooooovooooor.
2/323
Calculate prob of sequence mdc when three letters picked without replacement from {c: 4, m: 3, f: 2, d: 1, a: 2, h: 3}.
2/455
Calculate prob of sequence qeq when three letters picked without replacement from bbzqqeb.
1/105
What is prob of sequence qjgq when four letters picked without replacement from ggkgjsqjqjkjjj?
3/2002
What is prob of sequence vl when two letters picked without replacement from ccvl?
1/12
Four letters picked without replacement from sgaakoa. Give prob of sequence akao.
1/140
What is prob of sequence iii when three letters picked without replacement from {i: 16, n: 4}?
28/57
Two letters picked without replacement from eydee. What is prob of sequence ee?
3/10
Calculate prob of sequence kn when tw
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + j + 21. Determine 2*t(a) + 11*y(a).
-a**2 + 2*a - 2
Let l(t) = -17*t + 9. Let d(w) = w + 1. Calculate -5*d(x) + l(x).
-22*x + 4
Let o(c) = -2 - 4*c - c - 3 - 1. Suppose -d = -f - 6*d - 7, 5*f = 3*d + 21. Let n = -7 + f. Let q(h) = h + 1. Give n*o(y) - 22*q(y).
-2*y + 2
Let f(n) = -752*n + 5. Let d(c) = -2246*c + 14. What is 6*d(l) - 17*f(l)?
-692*l - 1
Let q(d) = 8*d**2 + 9 - 9*d**3 - 3*d**3 - 3 + 7*d + 3 + d**2. Let k(y) = -11*y**3 + 8*y**2 + 6*y + 8. What is -7*k(c) + 6*q(c)?
5*c**3 - 2*c**2 - 2
Let d(b) = -1. Let i(z) be the third derivative of -5*z**4/12 - z**3/3 - 9*z**2. Let k be i(2). Let t(j) = -j + 12. Give k*d(u) - 2*t(u).
2*u - 2
Let d(v) = v**3 + 13*v**2 + 9*v - 37. Let a be d(-12). Let c(z) = -1. Let n(q) = 6*q + 5. What is a*n(l) - 6*c(l)?
-6*l + 1
Let g(d) = 6*d**3 - 6*d + 3. Let y(r) = 7*r**3 - 7*r + 3. Determine -4*g(p) + 3*y(p).
-3*p**3 + 3*p - 3
Let d(r) = 4*r + 2. Suppose -71 + 16 = -11*m. Let b(k) = 10 - 6 - 2*k - m. Let q be 0 + 0 + -1 + -4. What is q*b(n) - 2*d(n)?
2*n + 1
Let f(d) = 3*d**3 - d**2. Suppose 4*p + 18 = -z, 4*p = 4*z - 2*z - 12. Let t be 2/(-3) + z/6*-11. Let k(c) = -3*c**3 + c**2 - 1. Determine t*f(h) + 2*k(h).
3*h**3 - h**2 - 2
Let y(r) = -r - 2. Let i(c) = -457*c + 12. Give i(t) + 6*y(t).
-463*t
Let w(g) = 7*g**2 + 9*g - 21. Let o(d) = 8*d**2 + 10*d - 24. Give 5*o(k) - 6*w(k).
-2*k**2 - 4*k + 6
Let k = 104 - 95. Let h(y) = -y + 4. Let u(o) be the first derivative of 3 + 3/2*o**2 - 9*o. Calculate k*h(g) + 4*u(g).
3*g
Let g(o) = -3*o - 16. Let t(b) = b - 1. Give -g(k) - 2*t(k).
k + 18
Let o(v) = -v**3 + v + 1. Let h(r) = 22*r**2 + r + 1. What is -h(u) + o(u)?
-u**3 - 22*u**2
Let v(z) = -10*z - 5 + 6 + 3. Let a(b) = -2*b + 1. Determine 14*a(k) - 3*v(k).
2*k + 2
Let d(q) = 4*q + 90 - 277 + 100 + 91 - 6*q**2. Let h(o) = o**2 - o. Let m(y) = 10*y**2 - 8*y - 3. Let c(z) = -5*h(z) + m(z). Determine -4*c(p) - 3*d(p).
-2*p**2
Let j(p) = 2 + p + 0 + p. Let q(m) = 14*m + 2. Let b(r) = 83*r + 13. Let v(u) = b(u) - 6*q(u). Give j(c) - 3*v(c).
5*c - 1
Let k(d) = 2*d**3 - 15*d**2 - 5*d + 14. Let c(a) = a**3 - 8*a**2 - 3*a + 8. What is -11*c(m) + 6*k(m)?
m**3 - 2*m**2 + 3*m - 4
Let g(c) = -4*c**3 + 4*c + 4. Let s be (-73 - -91)/(2/1). Let x(i) = -8*i**3 + 9*i + 9. Determine s*g(q) - 4*x(q).
-4*q**3
Let v(x) = x**2 + x - 1. Suppose -r + 16 = 3*y + 36, 2*y = -4*r - 30. Let k be 20/2*-1 - r. Let w(f) = 8*f**2 + 7*f - 7. Calculate k*v(j) + w(j).
3*j**2 + 2*j - 2
Let b(v) = v**3 - v**2 + v + 1. Let y(o) = 2*o**3 - 2*o**2 + 4*o + 3. Give -3*b(z) + y(z).
-z**3 + z**2 + z
Let w = -150 - -154. Let f(z) = -z**3 - 5*z**2 - 2. Let n(t) = t**3 + 4*t**2 + 1. Determine w*f(q) + 5*n(q).
q**3 - 3
Let v be (-18)/21*(3 + (4 - 14)). Let k(y) = -2*y**2 + 5*y + 4. Let a(n) = 2*n**2 - 4*n - 3. Give v*a(g) + 5*k(g).
2*g**2 + g + 2
Let q(i) = -5*i**2 + 3*i + 2. Let b(k) = 12*k + 14. Let h be b(-4). Let v = -32 - h. Let t(u) = -4*u**2 + 2*u + 1. Calculate v*q(d) - 3*t(d).
2*d**2 + 1
Let z(i) = -3*i**2 - 4*i + 2. Let u(n) = -3*n**3 - 5*n**2 - 7*n + 4. Give -4*u(r) + 7*z(r).
12*r**3 - r**2 - 2
Let n(d) = -3*d**3 - 2*d**2 - 2*d - 2. Let t(p) = -8*p**3 - 6*p**2 - 5*p - 6. Calculate -17*n(x) + 6*t(x).
3*x**3 - 2*x**2 + 4*x - 2
Let r(s) = s - 1. Let a(t) = 4*t - 110. Calculate a(u) - 2*r(u).
2*u - 108
Let l(w) = -1089*w**2 + 9*w + 21. Let a(n) = -109*n**2 + n + 2. Calculate -21*a(z) + 2*l(z).
111*z**2 - 3*z
Let o(p) be the third derivative of -p**4/6 - p**3/2 + 6*p**2. Suppose -31*c + 26*c + 5*k + 30 = 0, 0 = -c + 2*k + 5. Let n(g) = 3*g + 2. Give c*n(s) + 5*o(s).
s - 1
Let b(g) = -4*g**3 - 3*g**2 + 3. Let v(n) = 4*n**3 + 2*n**2 - 2. Let u(j) = -9 - 4*j**2 + 8*j**2 + 12*j - 5*j**2. Let s be u(11). Give s*b(r) + 3*v(r).
4*r**3
Let l(w) = -13*w**2 + 13*w. Let x(v) = 3*v**2 - 3*v. Suppose g - 5*g - 88 = 0. Let c = -40 - g. Let u be (1 + 3/(-9))*-6. Give c*x(z) + u*l(z).
-2*z**2 + 2*z
Let n(d) = -d**2 + d. Let r(k) = k**2 - k - 1. Let x(c) = 5*c. Let f(h) = 2*r(h) + x(h). What is -f(m) + n(m)?
-3*m**2 - 2*m + 2
Let l(g) = -2*g**2 + 42*g - 11. Let p(x) = -3*x**2 + 85*x - 19. Calculate 7*l(m) - 4*p(m).
-2*m**2 - 46*m - 1
Let k = 2 - 4. Suppose -6*x + 5*x = -4. Let o(u) = 0*u - 2*u + x*u - u. Let c(m) = -m**2 + m. What is k*c(z) + 2*o(z)?
2*z**2
Let j(u) = -3*u. Let c(i) = i. Let t(l) = -l - 20. Let r be t(-10). Let f = -2 + r. What is f*c(h) - 3*j(h)?
-3*h
Let z(b) = -b + 14. Let m(j) = -1. Give 3*m(s) + z(s).
-s + 11
Let f(c) = 4*c**3 - 3*c**2 - 3*c - 151. Let m(h) = 13*h**3 - 10*h**2 - 10*h - 452. What is -10*f(w) + 3*m(w)?
-w**3 + 154
Let a(h) = 9*h**2 + 6*h + 6. Let f(m) = 19*m**2 + 13*m + 13. Let c be ((-11)/(-33))/(1/51) - 4. What is c*a(i) - 6*f(i)?
3*i**2
Suppose -72 - 12 = 14*s. Let t(m) = -3*m**2 - 2*m + 5. Let c(k) = -3*k**2 - 2*k + 6. Give s*c(r) + 7*t(r).
-3*r**2 - 2*r - 1
Let k(b) = -40*b + 10*b - 87 - 12*b**2 + 204 - 87. Let w(f) = f - 1. Determine k(t) + 30*w(t).
-12*t**2
Let v(p) = -678*p**3 + 2*p. Let a(r) = -678*r**3 + 3*r. Calculate -2*a(f) + 3*v(f).
-678*f**3
Let u(c) = c**3 - 123. Let r(f) = 4*f**3 - 493. Calculate -2*r(v) + 9*u(v).
v**3 - 121
Let q(n) = 6*n**2 - 3*n. Let t(d) = d**2 - d. Suppose -3*g + 4 = -w + 12, 2*g = -4. What is w*q(b) - 6*t(b)?
6*b**2
Let c(b) = -7*b**3 - 5*b**2 - 10*b - 26. Let r(p) = 6*p**3 + 4*p**2 + 8*p + 25. What is -4*c(g) - 5*r(g)?
-2*g**3 - 21
Let s(w) = 9*w**3 - 4*w**2 + 2*w + 22. Let v(h) = h**3 - 2*h**2 + h - 1. Determine -s(q) + 2*v(q).
-7*q**3 - 24
Let d(f) = -23*f + 11. Suppose 38 = -5*p - 2*z, 5*p + z + 24 = -15. Let w(q) = 8*q - 4. Give p*w(x) - 3*d(x).
5*x - 1
Let p(l) = -1 + 0 + 2. Let i(w) = -w. Suppose -6*j + 4*j - 2 = 4*v, 5*v = 0. Determine j*i(z) + 2*p(z).
z + 2
Let a(i) = -i**3 + i**2 + 8*i - 8. Let r be a(3). Let f(l) = l. Let y(k) = -4*k - 2. Determine r*f(q) - y(q).
2*q + 2
Let p(n) = 1. Let j(v) = -3*v**2 + v + 1. Let f be -9 - (3 - 8) - (-5 + 0). Give f*p(r) - j(r).
3*r**2 - r
Let n(w) = 124*w**2 + 10*w + 11. Let u(b) = -31*b**2 - 3*b - 3. Give -6*n(g) - 22*u(g).
-62*g**2 + 6*g
Let a(m) = 13*m - 6. Let g(d) be the third derivative of d**4/2 - 5*d**3/6 - 6*d**2 - d. What is 5*a(n) - 6*g(n)?
-7*n
Let q(g) = -28*g - 2*g**2 + 3 + 13*g + 9*g + 7*g. Let x(n) = 3*n**2 - 4. Give -4*q(s) - 3*x(s).
-s**2 - 4*s
Let n(j) = 3*j + 5. Let a(c) = -5*c + 98. Let t be a(21). Let k(q) = -4*q - 6. Calculate t*n(s) - 6*k(s).
3*s + 1
Let b(m) = 34 + 13 - 46. Let z(s) = 7*s**3 + 35. Determine 35*b(g) - z(g).
-7*g**3
Let b(i) = 7*i + 6. Let w(t) = -1. What is 2*b(d) + 10*w(d)?
14*d + 2
Suppose 0*k = -3*k - 3, 2*i - 3 = k. Let c(o) = o - i + 0*o + 1. Let y be -3*8/15 + (-6)/15. Let u(h) = -h**3 + 2*h**2 + 2*h. Determine y*c(p) + u(p).
-p**3 + 2*p**2
Let w(o) = -o - 1. Let z(c) = 187*c**2 - 187*c - 187. Calculate 374*w(k) - 2*z(k).
-374*k**2
Let i(f) be the first derivative of 2*f**3/3 - 7*f**2/2 + 5*f - 66. Let z(x) = -4*x**2 + 15*x - 11. What is -13*i(b) - 6*z(b)?
-2*b**2 + b + 1
Let f(y) = -6*y**2 - 45. Let r(j) = -12*j**2 - 91. What is 7*f(s) - 4*r(s)?
6*s**2 + 49
Let s(g) = 3*g**3 + 3*g**2 + g**2 - 8 + 0. Let l(b) = 22*b**3 + 0*b**2 - 4*b**3 - 10*b**3 - 23 + 11*b**2. Determine 6*l(u) - 17*s(u).
-3*u**3 - 2*u**2 - 2
Let i(h) = 3*h - 6. Suppose 13 + 64 = -11*w. Let y(z) = -2*z + 4. What is w*y(u) - 5*i(u)?
-u + 2
Suppose -4*p = -3*o + 35, 5*p = -21 - 4. Suppose -u - 1 = -a, -o*u = 5*a - 3*u - 26. Let s(f) = f - 3. Let c(l) = l - 2. Give a*c(r) - 3*s(r).
r + 1
Let v(r) = -r**2 - r - 28. Let z(i) = -i**2 - 27. Give -3*v(b) + 4*z(b).
-b**2 + 3*b - 24
Let k(n) = 2*n**2 + 2*n + 2. Let o(h) = 13*h**2 + 9*h - 5. What is -4*k(c) + o(c)?
5*c**2 + c - 13
Let d(h) = h**3 + 7*h**2 - 5*h. Suppose 3*a - 12 = 3*j, -5*a = -j + 5*j - 38. Let u(x) = -3*x**3 - a*x + 8*x**2 + 120 - 120 + 4*x**3. Give 6*d(k) - 5*u(k).
k**3 + 2*k**2
Let l(p) = -9*p**2 - p + 10. Let t(a) = -17*a**2 - 2*a + 21. Calculate 11*l(c) - 6*t(c).
3*c**2 + c - 16
Let z(f) = 3*f**3 + 2*f**2 + 25*f. Let d(a) = 7*a**3 + 5*a**2 + 49*a + 1. Calculate -2*d(o) + 5*z(o).
o**3 + 27*o - 2
Let f(g) = -32*g**2 - 3*g + 2. Let s(d) = -97*d**2 - 8*d + 6. Calculate 11*f(o) - 4*s(o).
36*o**2 - o - 2
Let y(a) = -64*a - 35. Let q(g) = -22*g - 12. Determine 11*q(p) - 4*y(p).
14*p + 8
Let p(n) = -19*n**2 - 12*n + 3. Let s(a) = -10*a**2 - 7*a + 2. What is 6*p(t) - 10*
|
{
"pile_set_name": "DM Mathematics"
}
|
*4/13 - 152*w**3/13 - 524*w**2/13 + 154*w/13 + 484/13 = 0.
-2, -1, 1, 11
Determine i so that i**4 - 33*i**3 + 193*i**2 - 291*i + 130 = 0.
1, 5, 26
What is l in -25*l**5 + 205*l**4 - 155*l**3 - 205*l**2 + 180*l = 0?
-1, 0, 1, 36/5
Factor f**4 - 15*f**3 - 225*f**2 + 3375*f.
f*(f - 15)**2*(f + 15)
Factor -4*f**3 - 716*f**2 + 4*f + 716.
-4*(f - 1)*(f + 1)*(f + 179)
Let 5*h**4/4 - 15*h**3/4 - 165*h**2/4 - 265*h/4 - 30 = 0. Calculate h.
-3, -1, 8
Factor -3*k**5 + 690*k**4 - 38271*k**3 - 161460*k**2 - 164268*k.
-3*k*(k - 117)**2*(k + 2)**2
Find c, given that -c**5/4 + c**4 - 5*c**3/4 + c**2/2 = 0.
0, 1, 2
Find c, given that 2*c**5/5 + 24*c**4/5 + 34*c**3/5 - 68*c**2/5 - 72*c/5 + 16 = 0.
-10, -2, 1
Let -2*h**2 + 844*h - 89042 = 0. What is h?
211
What is h in h**4 + 5*h**3 - 14*h**2 = 0?
-7, 0, 2
Factor -q**3/6 - 26*q**2/3 - 101*q/6 - 25/3.
-(q + 1)**2*(q + 50)/6
Factor d**2 + 165*d + 486.
(d + 3)*(d + 162)
Factor h**4 + 61*h**3 + 119*h**2 + 59*h.
h*(h + 1)**2*(h + 59)
Let 4*z**5/3 - 32*z**4/3 + 20*z**3 = 0. Calculate z.
0, 3, 5
Factor -2*g**5/9 - 122*g**4/9 - 2396*g**3/9 - 1484*g**2 + 3822*g - 2058.
-2*(g - 1)**2*(g + 21)**3/9
Determine p so that -p**2/2 + 47*p/2 - 23 = 0.
1, 46
Suppose -3*r**2/5 + 6*r + 33/5 = 0. Calculate r.
-1, 11
Factor 3*h**3 - 54*h**2 + 195*h + 252.
3*(h - 12)*(h - 7)*(h + 1)
What is b in 2*b**5/13 + 6*b**4/13 - 20*b**3/13 + 4*b**2/13 + 18*b/13 - 10/13 = 0?
-5, -1, 1
Factor -2*z**3 - 124*z**2.
-2*z**2*(z + 62)
Factor -r**2 - 101*r - 198.
-(r + 2)*(r + 99)
Determine m so that 4*m**5/3 + 2*m**4/3 - 32*m**3/3 - 16*m**2/3 + 64*m/3 + 32/3 = 0.
-2, -1/2, 2
Solve -f**4 + 39*f**3/4 - 49*f**2/2 + 45*f/4 + 9/2 = 0.
-1/4, 1, 3, 6
Determine s so that 2*s**4/3 - 8*s**3/3 + 2*s**2/3 + 4*s = 0.
-1, 0, 2, 3
Factor 3*m**5 + 33*m**4 + 57*m**3 - 345*m**2 - 600*m + 1500.
3*(m - 2)**2*(m + 5)**3
Let -594*f**2/7 + 1002*f/7 - 20/7 = 0. What is f?
2/99, 5/3
Factor -5*g**3/6 + 5*g**2/6.
-5*g**2*(g - 1)/6
Solve 6*t**2/7 + 678*t/7 + 636 = 0.
-106, -7
Find g, given that 4*g**4 + 32*g**3 - 488*g**2 - 1056*g - 540 = 0.
-15, -1, 9
Determine n, given that n**2/7 + 12*n/7 + 11/7 = 0.
-11, -1
Factor q**3 + 25*q**2 + 123*q + 171.
(q + 3)**2*(q + 19)
Factor -2*m**2 - 11648*m - 16959488.
-2*(m + 2912)**2
Factor h**3/7 + 17*h**2/7 + 30*h/7.
h*(h + 2)*(h + 15)/7
Find b such that 2*b**5/5 - 26*b**4/5 + 78*b**3/5 - 46*b**2/5 - 16*b + 72/5 = 0.
-1, 1, 2, 9
Find w, given that -3*w**2 - 1638*w = 0.
-546, 0
Determine u so that -15*u**2 - 69*u/4 - 9/4 = 0.
-1, -3/20
Let -5*n**3 - 585*n**2 - 2280*n - 2260 = 0. What is n?
-113, -2
Find d, given that -4*d**3 + 100*d**2 - 456*d = 0.
0, 6, 19
Factor 3*f**3/2 - 15*f**2/2 - 9*f.
3*f*(f - 6)*(f + 1)/2
Factor 5*x**3/3 - 26*x**2 - 32*x/3.
x*(x - 16)*(5*x + 2)/3
Find r, given that 2*r**5 + 6*r**4 - 2*r**3 - 14*r**2 + 8 = 0.
-2, -1, 1
Factor 4*r**3 + 136*r**2 + 496*r + 480.
4*(r + 2)**2*(r + 30)
Factor -5*h**2 - 620*h + 7425.
-5*(h - 11)*(h + 135)
Factor -4*z**2/3 - 202*z/3 - 100/3.
-2*(z + 50)*(2*z + 1)/3
Factor 93*l**2/5 + 36*l - 12/5.
3*(l + 2)*(31*l - 2)/5
Find s, given that s**2/3 - 10*s + 75 = 0.
15
What is d in -5*d**5 - 20*d**4 + 5*d**3 + 20*d**2 = 0?
-4, -1, 0, 1
Suppose -2*p**2 - 19*p/3 + 25/3 = 0. Calculate p.
-25/6, 1
Solve -196*q**4 + 672*q**3 + 1412*q**2 + 624*q + 80 = 0.
-1, -2/7, 5
Factor w**5 - 14*w**4 + w**3 + 156*w**2.
w**2*(w - 13)*(w - 4)*(w + 3)
Let 2*c**2/5 + 3596*c/5 + 1616402/5 = 0. What is c?
-899
Find m such that -5*m**5 - 15*m**4 + 5*m**3 + 35*m**2 - 20 = 0.
-2, -1, 1
Factor -3*r**5/5 + 3*r**4/5 + 3*r**3/5 - 3*r**2/5.
-3*r**2*(r - 1)**2*(r + 1)/5
Suppose -2*i**4/7 + 66*i**3/7 - 380*i**2/7 + 384*i/7 + 832/7 = 0. Calculate i.
-1, 4, 26
Factor -o**4/3 - 2*o**3 + 3*o**2 + 14*o/3.
-o*(o - 2)*(o + 1)*(o + 7)/3
Factor -5*g**4 - 20*g**3 + 30*g**2 + 20*g - 25.
-5*(g - 1)**2*(g + 1)*(g + 5)
Factor q**2/3 + 29*q/3.
q*(q + 29)/3
Factor g**4 - 3*g**3 - 60*g**2 + 368*g - 576.
(g - 4)**3*(g + 9)
Suppose 12*v**5 - 64*v**4 - 1140*v**3 - 728*v**2 = 0. Calculate v.
-7, -2/3, 0, 13
Solve -10*n**2/11 - 104*n/11 - 40/11 = 0.
-10, -2/5
Factor -6*h**3/13 - 20*h**2/13 - 6*h/13.
-2*h*(h + 3)*(3*h + 1)/13
Solve 3*y**3 - 468*y**2/7 + 2673*y/7 - 726/7 = 0.
2/7, 11
Determine n, given that -2*n**3 + 24*n**2 - 18*n - 44 = 0.
-1, 2, 11
Factor 6*m**4 - 9*m**3 - 24*m**2 - 9*m.
3*m*(m - 3)*(m + 1)*(2*m + 1)
Suppose 21632*h**3/15 - 4576*h**2/3 + 422*h/5 - 6/5 = 0. What is h?
3/104, 1
Suppose 5*p**2 - 610*p + 18605 = 0. Calculate p.
61
Solve 3*c**5 - 42*c**4 - 348*c**3 + 1266*c**2 - 1335*c + 456 = 0 for c.
-8, 1, 19
Let -o**4 + 43*o**3 - 206*o**2 - 592*o = 0. What is o?
-2, 0, 8, 37
Factor -2*z**4/7 - 334*z**3/7 - 14110*z**2/7 - 13778*z/7.
-2*z*(z + 1)*(z + 83)**2/7
Suppose -x**2/9 + 16*x/9 - 64/9 = 0. What is x?
8
Solve -2*q**5 + 266*q**4/3 + 562*q**3/9 - 982*q**2/9 - 368*q/9 + 40 = 0.
-1, 2/3, 45
Find g such that g**4/6 - 17*g**3/6 + 19*g**2/2 + 63*g/2 - 81 = 0.
-3, 2, 9
Solve 28*z**5 - 620*z**4 + 1236*z**3 - 724*z**2 + 80*z = 0.
0, 1/7, 1, 20
Factor i**3 - 25*i**2 - i + 25.
(i - 25)*(i - 1)*(i + 1)
Factor 2*d**3/17 + 90*d**2 + 22950*d + 1950750.
2*(d + 255)**3/17
Let 2*t**2 + 748*t + 746 = 0. Calculate t.
-373, -1
Let -2*a**2/11 + 38*a/11 + 184/11 = 0. What is a?
-4, 23
Let -57*f**2/7 + 7131*f/7 - 750/7 = 0. What is f?
2/19, 125
Let 5*n**4 + 5*n**3 - 15*n**2 - 25*n - 10 = 0. Calculate n.
-1, 2
Factor 2*r**2/17 - 108*r/17 + 1216/17.
2*(r - 38)*(r - 16)/17
Factor -5*u**4 + 20*u**3 + 50*u**2 - 140*u + 75.
-5*(u - 5)*(u - 1)**2*(u + 3)
Factor -2*x**2 - 196*x + 198.
-2*(x - 1)*(x + 99)
Factor l**2/7 - 3*l/7 - 10/7.
(l - 5)*(l + 2)/7
What is o in -4*o**2/7 + 1840*o/7 + 528 = 0?
-2, 462
Determine w, given that 2*w**4 - 8*w**3 + 12*w**2 - 8*w + 2 = 0.
1
Factor m**2/6 - 941*m/6 - 943/3.
(m - 943)*(m + 2)/6
Find a, given that 3*a**2 - 243 = 0.
-9, 9
Determine f, given that 2*f**5 + 190*f**4 - 194*f**3 - 190*f**2 + 192*f = 0.
-96, -1, 0, 1
Factor -5*z**4 + 3405*z**3 - 13560*z**2 + 13540*z.
-5*z*(z - 677)*(z - 2)**2
Solve 4*p**2 - 104*p - 1088 = 0.
-8, 34
Find b such that -2*b**5/15 - 2*b**4 - 124*b**3/15 - 68*b**2/15 + 42*b/5 + 98/15 = 0.
-7, -1, 1
Factor -3*t**4 + 15*t**3 + 63*t**2 + 69*t + 24.
-3*(t - 8)*(t + 1)**3
Factor -g**5/9 + 14*g**4/9 + 8*g**3/9 - 368*g**2/9 - 1040*g/9 - 800/9.
-(g - 10)**2*(g + 2)**3/9
Suppose -2*k**4/9 + 4*k**2/9 - 2/9 = 0. Calculate k.
-1, 1
Let -2*h**3/3 - 134*h**2 - 6386*h + 106090/3 = 0. Calculate h.
-103, 5
Let 2*w**4/5 + 22*w**3/5 + 46*w**2/5 - 14*w = 0. What is w?
-7, -5, 0, 1
Let p**4/9 - 5*p**3/3 + 19*p**2/3 - 17*p/9 - 10 = 0. Calculate p.
-1, 2, 5, 9
Suppose 3*g**4/4 - 33*g**3/4 + 93*g**2/4 - 63*g/4 = 0. Calculate g.
0, 1, 3, 7
Factor 5*f**4/6 - 70*f**3/3 + 200*f**2 - 2080*f/3 + 2560/3.
5*(f - 16)*(f - 4)**3/6
Determine b so that 4*b**2 + 2244*b + 15512 = 0.
-554, -7
Find k such that k**4/2 + 5*k**3 + 33*k**2/2 + 20*k + 8 = 0.
-4, -1
Factor 16*g**5 + 8*g**4 - 15*g**3 - 8*g**2 - g.
g*(g - 1)*(g + 1)*(4*g + 1)**2
Find z such that -6*z**4/5 + 142*z**3 - 212*z**2/5 - 568*z + 944/5 = 0.
-2, 1/3, 2, 118
Find j, given that 14*j**3/15 - 1112*j**2/15 + 4352*j/3 + 2560/3 = 0.
-4/7, 40
What is p in -5*p**2/2 + 15*p - 20 = 0?
2, 4
What is f in 2*f**2/23 - 842*f/23 = 0?
0, 421
Factor 39*s**3/4 - 21*s**2 + 51*s/4 - 3/2.
3*(s - 1)**2*(13*s - 2)/4
Factor q**2/3 - 172*q/3 - 175.
(q - 175)*(q + 3)/3
Find k such that -k**2/2 + 129*k/2 - 649 = 0.
11, 118
Factor p**3/2 - 42*p**2 - 547*p/2 + 315.
(p - 90)*(p - 1)*(p + 7)/2
Factor 2*v**5 - 328*v**4 - 2022*v**3 - 3060*v**2.
2*v**2*(v - 170)*(v + 3)**2
Factor -2*m**3 - 92*m**2 + 392*m - 400.
-2*(m - 2)**2*(m + 50)
What is m in 4*m**3 + 244*m**2 + 1356*m + 1980 = 0?
-55, -3
Factor 3*w**3 + 18*w**2 - 45*w - 300.
3*(w - 4)*(w + 5)**2
Determine a, given that 33*a**3/2 + 105*a**2/2 + 42*a + 6 = 0.
-2, -1, -2/11
Factor 2*y**3/3 - 2*y**2/3 - 13*y/2 - 6.
(y - 4)*(2*y + 3)**2/6
Determine h, given that -h**4 - 3*h**3 - 2*h**2 = 0.
-2, -1, 0
Factor 3*j**4/4 - 75*j**3/4 + 225*j**2/2.
3*j**2*(j - 15)*(j - 10)/4
Find y, given that -5*y**4 + 70*y**3 - 225*y**2 - 280*y + 980 = 0.
-2, 2, 7
Factor -2*x**2/15 + 34*x/15 - 32/15.
-2*(x - 16)*(x - 1)/15
Factor 3*p**3/5 - 951*p**2 - 19056*p/5 - 19068/5.
3*(p - 1589)*(p + 2)**2/5
Factor 3*q**2 + 534*q + 23763.
3*(q + 89)**2
Solve -2*l**2/7 + 14*l = 0 for l.
0
|
{
"pile_set_name": "DM Mathematics"
}
|
17 - 1095*m to the form u*m + q + r*m**3 + b*m**2 and give b.
0
Rearrange -61*l**2 + 10 + 49*l**2 - 124*l + 121*l - 4 to the form g + s*l + q*l**2 and give q.
-12
Rearrange -12 + 31482*z - 13 + 24 - 2831*z to the form m*z + u and give m.
28651
Express 598 + 593 - 7313*k + 590 - 1781 in the form f + h*k and give h.
-7313
Express -25*w - 13*w + 28*w - 127*w + 31*w**2 as z*w**2 + i + o*w and give o.
-137
Rearrange (2*j - 2*j - j**3)*(0 - 2 - 1) + (-3*j - 5*j + 3*j)*(483530 - 1678*j**2 - 483530) to the form s*j + x*j**2 + d + l*j**3 and give l.
8393
Express 19 - 34 - 1084*l + 1032*l as q*l + n and give q.
-52
Express 13*w**2 - 81*w**2 + 34*w**2 + 34*w**2 - 35456*w**3 - 2 as i*w**3 + j*w + o + s*w**2 and give i.
-35456
Express -9363*z - 48 + 33 + 15 as q*z + c and give q.
-9363
Rearrange -2*x**4 + 0*x + 42 - 93 + 36 + 2*x**2 - 11*x**3 + 32 + x to j*x**4 + h*x**3 + r*x**2 + u + w*x and give h.
-11
Express (-109*p - 95*p - 95*p)*(15 - 15 + 7*p) + 5*p**2 - p**2 - 2*p**2 in the form b + y*p + c*p**2 and give c.
-2091
Express 37*q**2 - 37*q**2 - 8*q**3 + (2*q**2 - 5*q + 5*q + 2)*(-q - 6*q + 4*q) + 16251*q - 16251*q + 119*q**3 in the form h*q + o*q**2 + k + f*q**3 and give h.
-6
Express (96 - 17 + 42)*((-1 + 4 - 4)*(1 + 1 + 0) + 1 + 0 + 0 + 1 + 1 - 4 + (-3 + 5 - 3)*(-1 + 1 + 1))*(2*l**2 + 2 - 2) as s*l**2 + c + g*l and give s.
-968
Rearrange 3301555*j + 7*j**4 - 2 + 4*j**4 - 4*j**3 - 3301552*j + 12*j**2 to i + g*j**3 + d*j + v*j**2 + z*j**4 and give z.
11
Express -4*l**2 + 108*l**2 - 5*l**3 - 9*l**2 - 35*l**2 + 8*l**2 as i*l**2 + p + b*l**3 + w*l and give i.
68
Express -695*c**2 + 1338*c**2 - 1 + 17*c**3 - 640*c**2 as o*c**2 + a*c + f*c**3 + p and give p.
-1
Express (-2 - 1 + 2)*(l + 0*l + 0*l + (0*l - l - l)*(-5 + 1 + 3) + 0*l + 6*l - 4*l + l - 6*l + 3*l)*(3 - 7 - 1)*(108 + 34 + 27) as u*l + p and give u.
2535
Express 79945*b**2 - 196*b - 79963*b**2 - 350*b as f*b + o + g*b**2 and give f.
-546
Rearrange 6*i - 5*i**4 + 10*i - 42*i + 5*i**4 + i**4 + 47*i**3 to the form r*i + f*i**4 + u*i**2 + o*i**3 + q and give f.
1
Express -1240*f - 3714564 + 3714564 + 4*f**2 in the form n*f**2 + w*f + q and give n.
4
Rearrange (-536*p - 528*p - 233 + 1066*p)*(0*p + 4*p + 3*p)*(3 + 2 - 3) to b*p + i + d*p**2 and give b.
-3262
Rearrange (69*j**3 - 51*j**3 - 59*j**3)*(2 - 2 + j + j + j - 5*j + (2 + 1 - 4)*(4 - 4 + j)) to the form h*j**3 + s*j + t*j**2 + w*j**4 + m and give w.
123
Express 637*y - 2 - 5*y**4 + 29*y**3 + 2*y**2 - 401*y - 2*y**4 - 233*y in the form x*y + z*y**3 + f*y**4 + v*y**2 + o and give f.
-7
Express ((3 - 2 - 2)*(s + 0*s + 0*s) - 2*s + 0*s + s)*(-2 + 2 - 3)*(732*s - 400*s - 2048*s) as o*s**2 + j*s + n and give o.
-10296
Express -63*h + 3455*h**4 - 2*h**2 + 1 + 189*h - 71*h - 54*h as o*h + n*h**4 + t*h**2 + g + z*h**3 and give t.
-2
Express 10584*c - 13310*c + 3 - 1 as b + t*c and give b.
2
Express 2*i**2 + i**2 - 2*i**2 + (-56 - 26 - 55)*(-436*i + 436*i + i**2) as r + l*i + h*i**2 and give r.
0
Rearrange (5 - 3 - 4 + (-3 - 5 + 1)*(0 + 2 - 4))*(-1859 + 1859 + 488*y) to the form z*y + g and give z.
5856
Express 225*b**3 + 17*b**2 + 23*b**2 + 18*b**2 - 31*b**2 + 2 - 25*b**2 as d*b**2 + t*b**3 + k + p*b and give d.
2
Express 320*z**4 + 322*z**4 + 323*z**4 - 69*z**3 - 4 - z - 2*z**2 - 966*z**4 as m*z**3 + g*z**4 + i*z + n*z**2 + s and give s.
-4
Rearrange (0*g - 3*g + 4*g)*(-2*g**2 + 2*g**2 + 3*g**2) - 3327*g**3 - 55547*g**2 - 167*g**3 + 55549*g**2 to r*g**2 + k + x*g**3 + b*g and give r.
2
Express ((1 + 5 + 7)*(3 - 2 - 2) - 3 + 1 + 4 - 2 + 2 - 4)*(-43*f + 74 + 83*f - 41*f) as b + h*f and give h.
15
Rearrange (-14276*u - 235*u**2 + 14276*u)*(0*u + 6*u - 5*u)*(-4*u + 6*u + u) to x*u**2 + r*u**4 + h*u**3 + g + w*u and give r.
-705
Rearrange -14684*g**2 + 7183*g**2 - 8635*g**2 to the form y*g**2 + n*g + i and give y.
-16136
Express (270*x**3 + 87*x**3 + 10*x**3)*(2 + 3 - 1)*(5*x - 2*x - x) + 4*x**3 - 4*x**3 - 2*x**4 in the form r + i*x**3 + g*x + z*x**4 + h*x**2 and give z.
2934
Rearrange -88*i + 26*i**2 - 12*i**2 - 38*i - 342*i + 81*i to the form x*i**2 + c + f*i and give x.
14
Express (3 - 1 + 0)*(2*w**2 - 5*w**2 + 4*w**2)*(-8563*w - 10082*w - 16582*w + 6464*w) in the form c*w**2 + a + d*w**3 + r*w and give d.
-57526
Express 3*i + 22*i**3 + 26*i**3 + 34*i**2 + 9*i - 3 - 4*i - 49*i**3 in the form b*i**3 + y*i + d*i**2 + n and give b.
-1
Express (-2*g - g + 6*g)*(1434 - 770 - 8578) as r*g + n and give n.
0
Express -201 - 8*w - 831 - 714 + 9*w as n*w + l and give n.
1
Rearrange -1346*s + 669*s + 678*s + 147 to a*s + t and give t.
147
Rearrange 9 + 1758*w - 3699*w + 2242*w + (-w + 5*w - 5*w)*(-1 + 4 + 1) + (-1 + 1 - 1)*(2 - 2 + 2*w) to the form i*w + f and give f.
9
Express 79*g - 6*g**2 - 75*g - 43*g**2 + (5*g + 0*g - 4*g)*(-3*g + 2*g + 0*g) as a + b*g**2 + q*g and give q.
4
Rearrange -278*z**2 - 23*z - 24*z - 23*z + 87*z - 18*z to i + g*z + n*z**2 and give n.
-278
Express ((-3*o + 4*o - 3*o)*(-1 + 5 - 1) - o + 4*o + 7*o)*(-4*o + 3*o + 3*o + (2 + 0 + 0)*(0*o - 3*o - o)) in the form l + s*o + i*o**2 and give i.
-24
Express (0 + 2 - 4)*(3*f + 0*f - f) - 6 - 6497*f - 6498*f + 12992*f as u*f + w and give w.
-6
Rearrange 38612*h - 3287*h**2 - 38614*h + 770*h**2 to c + y*h + l*h**2 and give l.
-2517
Express -3*y + 164 - 7*y**3 + 76 + 3*y**3 + y**3 as u*y**3 + h*y**2 + o*y + n and give u.
-3
Express (571*g - 325*g + 155*g)*(2 - 3 - 1)*(-4*g**3 + g**3 + g**3) in the form a*g**3 + h + x*g**4 + d*g + t*g**2 and give x.
1604
Express (5 - 3*x - 5)*(-6962 - 1349 + 2119*x - 2117*x) in the form i*x + t*x**2 + w and give t.
-6
Rearrange (-1 + 1 + 2*l)*(-3 + 4 + 1) + 352*l + 239 - 349*l + 453 to s + r*l and give s.
692
Express 89*r - 62*r - 130*r in the form m + p*r and give p.
-103
Express (5*h**2 + 2 - 2)*(294*h + 260*h + 89*h) in the form v*h**2 + x + f*h**3 + z*h and give f.
3215
Rearrange -2*s + 9*s**3 - 3134*s**2 + 3179*s**2 + 8*s**3 + 2*s to n + v*s + r*s**3 + x*s**2 and give x.
45
Rearrange 784 - 1583 + 799 + 2985*u**2 to the form q*u + y + w*u**2 and give w.
2985
Express 302 - 11*y**2 + 18*y**4 + 13*y**2 + 2*y - 304 + 12*y**3 in the form k*y + m + c*y**2 + h*y**3 + s*y**4 and give c.
2
Rearrange (66867*m**2 - 4 - 66155*m**2 + 3)*(32*m - 2*m**2 - 32*m) to the form u*m**3 + l*m**2 + y*m + d + f*m**4 and give f.
-1424
Express -2 + a**2 - a - 2*a**2 + 35278*a**4 - 35696*a**4 + 0*a**2 as n*a**2 + v + y*a + u*a**4 + g*a**3 and give g.
0
Rearrange -1957*j**2 + 980*j**2 + 980*j**2 - 6010 to c*j**2 + z*j + d and give d.
-6010
Express -5 + 8 + 1693*m**2 - 41*m + 1691*m**2 - 3388*m**2 as o*m**2 + v*m + l and give v.
-41
Rearrange (169*b + 37*b + 95*b)*(-19*b - 386 + 386) to the form f + g*b**2 + k*b and give g.
-5719
Rearrange -169 + 4*b**2 - 53*b + 93 + 84 - 3*b**2 to x*b**2 + d*b + c and give x.
1
Rearrange -8*t - 15*t**2 + t - 1393 - 51*t + 1390 to z*t + u + n*t**2 and give n.
-15
Express -988 + i**3 + 335 + 6*i**2 + 344 + 347 as g*i + o + l*i**3 + s*i**2 and give l.
1
Express 0*a**4 - a**4 + 66*a**3 - 13*a - 65*a**3 + 0*a - 2*a - 1 as w*a**2 + y + n*a + z*a**3 + m*a**4 and give y.
-1
Rearrange 7*f**3 + 27*f**2 - 10*f**3 + 2*f - 122 - 3*f**3 - 23*f**2 + 5*f**3 to the form q*f + v*f**3 + w*f**2 + p and give p.
-122
Express 10*g + g**3 + 185338*g**2 - 185338*g**2 - 2 as w*g**2 + q*g + h*g**3 + y and give h.
1
Express -s**2 + 7*s + 33*s**3 - 7*s**3 + 2*s**2 - 2*s**4 - 7*s**3 - 13*s**3 in the form g*s**2 + t + c*s**3 + h*s**4 + o*s and give c.
6
Rearrange (2*y + 5*y - 9*y)*(-50 + 50 + 894*y**2 + 3248*y**2) to the form s*y + q*y**3 + i*y**2 + m and give q.
-8284
Express 259092 + 37*q**3 - 259092 - 3*q + 2*q**4 as a*q**3 + u + g*q + s*q**4 + b*q**2 and give g.
-3
Rearrange 1 + 12*u + 166*u**3 - 35*u + 239*u**3 + 22*u to n*u + r + j*u**2 + m*u**3 and give m.
405
Rearrange -103*w + 3 + 13*w**2 - 43*w**2 + 13*w**2 + 15*w**2 - 5*w to the form t*w**2 + m + i*w and give i.
-108
Express (-5*x**2 + 9*x**2 + 2*x**2)*(-2218 - 3229 + 6524) in the form j*x**2 + t*x + b and give j.
6462
Rearrange -492 + 248 + 241 - 53*x - 86*x to the form z + l*x and give z.
-3
Express (-32 - 10 + 45 - 39*f)*(-66*f - 74*f - 5*f) as v*f**2 + x + h*f and give h.
-435
Rearrange -601 + 1222 + q**2 - 612 - q + 2*q**3 - 13*q to the form k*q + c + n*q**2 + p*q**3 and give n.
1
Rearrange -50968*a**2 + 27864*a**2 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
4
What is the greatest common factor of 1131700 and 1940?
20
Calculate the greatest common divisor of 626131 and 3883.
11
Calculate the highest common factor of 528 and 1206204.
12
Calculate the greatest common factor of 185890790 and 183.
61
Calculate the highest common divisor of 444540 and 384.
12
Calculate the greatest common divisor of 12064 and 30695717.
377
Calculate the greatest common factor of 568742894 and 32330.
6466
Calculate the highest common divisor of 4 and 4245382.
2
What is the highest common factor of 24037182 and 468?
234
What is the greatest common factor of 1 and 14567459?
1
Calculate the highest common divisor of 36 and 6075116.
4
What is the highest common divisor of 480 and 7783500?
60
Calculate the greatest common factor of 7565152 and 35.
7
What is the greatest common factor of 228 and 2275860?
12
What is the greatest common divisor of 37404392 and 1688?
1688
Calculate the highest common divisor of 53379253 and 64737.
7193
Calculate the greatest common factor of 2982 and 30974531.
497
Calculate the highest common factor of 76 and 10443255.
19
What is the greatest common divisor of 21932534 and 39?
13
Calculate the greatest common factor of 154 and 58438590.
14
What is the highest common factor of 1845070 and 224110?
3070
What is the greatest common divisor of 51324164 and 267?
89
What is the highest common divisor of 5936 and 6251896?
56
What is the highest common factor of 8379713 and 5?
1
What is the highest common factor of 23066826 and 5118?
5118
What is the greatest common divisor of 7122157 and 11416?
1427
Calculate the highest common factor of 312 and 3879499.
13
What is the highest common divisor of 16 and 7647192?
8
Calculate the greatest common factor of 1795 and 73237795.
1795
Calculate the highest common factor of 251345 and 646.
17
Calculate the highest common factor of 50533847 and 26.
13
Calculate the highest common factor of 10 and 53418710.
10
What is the greatest common divisor of 196705167 and 123?
123
What is the greatest common divisor of 111 and 11449354?
37
What is the highest common factor of 11008 and 2097152?
256
Calculate the highest common divisor of 235942026 and 178.
178
What is the highest common factor of 77486 and 37672?
34
What is the greatest common divisor of 1100 and 3766708?
44
Calculate the highest common divisor of 4800052 and 68.
68
Calculate the greatest common factor of 687995640 and 2547.
2547
What is the highest common divisor of 8733584 and 32?
16
What is the highest common divisor of 940 and 1272280?
20
Calculate the highest common divisor of 81184 and 1816.
8
Calculate the highest common factor of 1394 and 8974736.
82
What is the highest common factor of 422 and 4594103?
211
What is the greatest common divisor of 8507348 and 1484?
212
What is the highest common divisor of 195 and 301857673?
13
What is the greatest common factor of 1170 and 17167358?
26
Calculate the greatest common divisor of 328 and 15538180.
164
What is the greatest common divisor of 13 and 998608?
13
What is the greatest common divisor of 20 and 23375930?
10
What is the greatest common divisor of 12984 and 2590818704?
4328
Calculate the highest common factor of 35160054 and 276.
138
Calculate the greatest common divisor of 12456 and 306920.
8
What is the highest common divisor of 11361 and 25459?
7
Calculate the greatest common divisor of 23528 and 240767906.
5882
Calculate the greatest common factor of 861 and 2304204.
21
Calculate the greatest common divisor of 2065 and 13028435.
35
What is the highest common divisor of 19722 and 5328746?
346
What is the greatest common divisor of 48234197 and 11?
11
Calculate the highest common factor of 15616 and 15173872.
976
Calculate the greatest common divisor of 401098 and 9287.
251
Calculate the greatest common factor of 1064990 and 188270.
2810
Calculate the highest common factor of 14171980 and 188.
4
What is the highest common divisor of 6612931 and 1066?
533
What is the greatest common divisor of 21664556 and 846?
94
What is the greatest common divisor of 2219 and 5500267?
317
Calculate the highest common divisor of 48670714 and 46.
46
Calculate the greatest common divisor of 60 and 95612870.
10
What is the highest common divisor of 777 and 24773091?
777
Calculate the greatest common factor of 4360 and 1551833.
109
Calculate the highest common factor of 439671 and 1717.
17
What is the highest common factor of 45703 and 36901908?
6529
Calculate the greatest common factor of 102 and 136870383.
51
What is the greatest common factor of 329 and 77469583?
47
What is the greatest common divisor of 1776 and 10525808?
16
What is the highest common factor of 42480060 and 11760?
2940
Calculate the highest common factor of 62959542 and 659.
659
Calculate the greatest common divisor of 1483 and 155324971.
1483
Calculate the greatest common divisor of 37441820 and 272.
68
Calculate the greatest common factor of 12720 and 35760.
240
What is the greatest common divisor of 1042259865 and 1335?
1335
Calculate the greatest common factor of 4059244 and 6860.
28
What is the highest common divisor of 4725320 and 187000?
680
What is the highest common divisor of 916827432 and 36?
12
Calculate the highest common factor of 26677043 and 14237.
619
Calculate the highest common divisor of 5659980 and 383955.
2685
Calculate the highest common factor of 188043201 and 108.
27
Calculate the highest common divisor of 7463338 and 2752.
86
What is the greatest common factor of 40289374 and 74?
74
Calculate the highest common divisor of 28576 and 1881692.
188
Calculate the highest common divisor of 3045530 and 20.
10
What is the greatest common factor of 6485808 and 686469?
2037
What is the highest common divisor of 11833757 and 31707?
3523
Calculate the greatest common divisor of 281321360 and 592.
592
What is the greatest common divisor of 4278540 and 1540?
140
Calculate the greatest common factor of 28350396 and 2988.
36
What is the greatest common divisor of 3365 and 769239?
673
Calculate the greatest common factor of 29706331 and 445.
89
Calculate the highest common divisor of 2826 and 8635.
157
Calculate the highest common divisor of 380851 and 91572523.
8857
What is the highest common factor of 163994032 and 24?
8
Calculate the greatest common factor of 2122054 and 1826.
22
What is the greatest common divisor of 663 and 5960747?
13
Calculate the greatest common divisor of 330179 and 9125.
73
Calculate the greatest common factor of 145722158 and 313.
313
What is the greatest common factor of 11568 and 1401?
3
Calculate the highest common divisor of 44291 and 13052217.
3407
Calculate the highest common divisor of 125492 and 185261.
229
Calculate the highest common factor of 1400385 and 35560.
35
What is the greatest common divisor of 9584868 and 5517?
1839
What is the greatest common divisor of 315 and 1281890505?
105
What is the greatest common divisor of 808007229 and 4626?
2313
What is the highest common divisor of 186231 and 21965?
23
What is the greatest common factor of 80410056 and 1704?
1704
What is the highest common divisor of 3472120 and 5560?
40
What is the greatest common factor of 152978 and 1503026?
686
What is the highest common factor of 55606270 and 4566?
1522
Calculate the greatest common divisor of 11895348 and 2064.
516
Calculate the greatest common divisor of 81174 and 514428.
978
Calculate the highest common factor of 4344 and 682152.
24
Calculate the highest common divisor of 18 and 530798274.
18
What is the greatest common divisor of 133648 and 52?
4
Calculate the highest common factor of 141645267 and 6.
3
Calculate the highest common divisor of 80181490 and 3815.
545
What is the greatest common divisor of 5337 and 17058831?
1779
What is the greatest common divisor of 359 and 236042141?
359
Calculate the greatest common divisor of 9167 and 11369661.
89
Calculate the highest common factor of 319509502 and 121914.
13546
Calculate the greatest common factor of 265 and 266330.
5
What is the highest common factor of 1007 and 114969?
19
Calculate the greatest common factor of 182649099 and 3954.
1977
Calculate the greatest common divisor of 541904 and 40304.
176
Calculate the highest common factor of 2234542 and 57753.
713
What is the greatest common divisor
|
{
"pile_set_name": "DM Mathematics"
}
|
uch that 96 - 2*b**3 - b**3 - 34*b**5 - 768*b + 0*b**3 + 1146*b**2 - z*b**2 - 228*b**4 - 5*b**5 = 0.
-4, 2/13, 1
Let g(u) be the second derivative of 9*u**5/40 - 8*u**4/3 + 19*u**3/36 + 7*u**2/6 - 394*u + 3. Factor g(j).
(j - 7)*(3*j - 1)*(9*j + 2)/6
Suppose 0 = l - 98*y + 100*y - 21, y + 3 = 4*l. Let v(g) be the third derivative of 0*g - 37/12*g**4 + 0 - 10/3*g**l - 40*g**2 - 7/30*g**5. Factor v(w).
-2*(w + 5)*(7*w + 2)
Let l be 6/(-84)*-7*10. Suppose -20*p**2 + 130*p - 35*p**2 - 75 + 12*p**3 - l - 7*p**3 = 0. What is p?
1, 2, 8
Solve 4996*r - 9360006 - 2/3*r**2 = 0 for r.
3747
Let w be (20 - 0)*(-137 + 117741/858). Factor -26/11 - 2/11*d**3 + w*d - 2*d**2.
-2*(d - 1)**2*(d + 13)/11
Let l(q) be the second derivative of -q**6/135 + 8*q**5/45 - 5*q**4/18 + 2*q + 450. Factor l(j).
-2*j**2*(j - 15)*(j - 1)/9
Let s(f) = -f**2 + 4*f. Let v(i) = -4*i**4 - 16*i**3 + 2*i**2 + 24*i. Let h(k) = 2*s(k) - v(k). Let h(j) = 0. Calculate j.
-4, -1, 0, 1
Factor 110*m - 182*m**2 - 49/2*m**3 - 16.
-(m + 8)*(7*m - 2)**2/2
Let r = -572 + 574. Suppose 11*v + r*v = 52. Solve -v*t**3 + 8*t**2 - 4/3*t**4 + 112/3*t + 32 = 0.
-2, 3
Let m(w) be the first derivative of w**4/4 - w**3/3 - 21*w**2/2 + 45*w + 5058. What is f in m(f) = 0?
-5, 3
Let c(y) be the third derivative of y**5/60 - 7*y**4/24 - 49*y**3/3 - 15*y**2 + 16*y. Find z such that c(z) = 0.
-7, 14
Suppose -4*q + 53795 = -3*h, 3*q + 11*h - 40349 = 16*h. Let 272*i - 187*i - 2*i**2 + 243*i - q = 0. What is i?
82
Suppose -5*b = -1 - 14. Let y = 109 + -107. Factor y*v - 9*v**b + 3*v**3 + 2*v**5 + 2*v**3.
2*v*(v - 1)**2*(v + 1)**2
Let r(x) be the third derivative of -1922*x**3 + 0*x - 1/20*x**5 + 31/2*x**4 + 0 + 153*x**2. Factor r(c).
-3*(c - 62)**2
Let g be (2104/1578)/(15/36). Factor 72/5*o**3 + 6/5 - 58/5*o**4 + g*o**5 - 28/5*o**2 - 8/5*o.
2*(o - 1)**4*(8*o + 3)/5
Let j(a) be the third derivative of a**7/2240 + 3*a**6/160 + 3*a**5/16 + 7*a**4/8 + 41*a**3/3 - 94*a**2. Let m(i) be the first derivative of j(i). Factor m(v).
3*(v + 2)**2*(v + 14)/8
Let w(x) = -x**3 + 18*x**2 - 69*x + 595. Let p be w(16). Let i(q) be the second derivative of 0*q**2 - 1/9*q**p + 38*q + 0 - 1/90*q**4. Factor i(l).
-2*l*(l + 5)/15
Let a(u) = -u**2 + u - 1. Let j be (-86)/(-129) + (-5)/3. Let m(n) = 3*n**2 + 8*n + 11. Let s(k) = j*m(k) - 2*a(k). Determine g, given that s(g) = 0.
-9, -1
Suppose 981603*l + l**4 + 516*l**2 - 982619*l + 672 + 0*l**4 - 90*l**3 = 0. What is l?
2, 84
Let o(c) be the first derivative of -2*c**3/57 - 15*c**2/19 + 2852*c/19 - 3218. Factor o(n).
-2*(n - 31)*(n + 46)/19
Let p(l) be the second derivative of l**5/4 - 25*l**4/12 - 35*l**3/3 - 1070*l. Factor p(m).
5*m*(m - 7)*(m + 2)
Let c = 6760636081/11549115655 - -6/7673831. Let q = c + -3/215. Find b such that -4/7*b + 24/7*b**3 - q*b**2 + 0 = 0.
-1/3, 0, 1/2
Let v(r) be the first derivative of 0*r + r**2 - 70 - 2/3*r**3. Factor v(z).
-2*z*(z - 1)
Let k(t) be the first derivative of -14*t**2 + 52*t + 1/3*t**3 + 259. Factor k(y).
(y - 26)*(y - 2)
Let j(d) be the second derivative of d**7/126 + 13*d**6/360 - 37*d**5/240 - 53*d**4/72 - d**3/3 + 7926*d. Solve j(m) = 0 for m.
-4, -2, -1/4, 0, 3
Let x = 1537411/7 - 219613. What is m in x + 4/7*m**2 + 52/7*m = 0?
-10, -3
Let g be 0*(6 + -7)/1. Suppose g = 3*o + 2*k - 13, -37*k + 35*k = -5*o + 27. Find h such that 0 + 6/7*h**3 - 6/7*h**4 - 2/7*h**2 + 0*h + 2/7*h**o = 0.
0, 1
Let w(i) be the first derivative of 5*i**2 + 6*i - 39 - 1/2*i**4 + 2/3*i**3. Factor w(k).
-2*(k - 3)*(k + 1)**2
Let y(d) be the first derivative of -d**6/84 - d**5/420 + d**4/42 - 50*d**3/3 - 93. Let m(x) be the third derivative of y(x). What is u in m(u) = 0?
-2/5, 1/3
Let p = 54 + -46. Suppose 0 = i + 5*n - p, 3*i - 4 = 5*n - 0. Factor -17*g**i - g**5 + 3*g**4 + 7*g - 3*g**2 - 5*g + 16*g**3.
-g*(g - 2)*(g - 1)**2*(g + 1)
Let i(h) be the third derivative of -10*h**2 - 1/60*h**5 + 0*h + 4 - 1/6*h**4 + 0*h**3. Factor i(n).
-n*(n + 4)
Let z be -1 + 3 - 20448/10240. Let p(q) be the third derivative of -1/560*q**7 + 0*q**4 + 0 - 4*q**2 + 0*q**3 + z*q**6 + 0*q + 1/80*q**5. Factor p(b).
-3*b**2*(b - 2)*(b + 1)/8
Let s(y) be the second derivative of -y**6/135 - 34*y**5/3 - 14450*y**4/3 + 3621*y. Let s(j) = 0. Calculate j.
-510, 0
Let k(l) = l**2 - 182*l + 3255. Let j be k(20). Solve 5/3*i**3 + 0 - 50/3*i + j*i**2 = 0.
-10, 0, 1
Suppose 0 = -99*q + 240*q. Let c(h) be the third derivative of -1/330*h**5 + 13*h**2 + 0*h + 0*h**4 + q + 4/33*h**3. Factor c(d).
-2*(d - 2)*(d + 2)/11
Let t(d) = d**3 + 5*d**2 + 5*d + 7. Suppose -2*v + 0 - 8 = 0. Let k be t(v). Factor 0*w**3 - 5*w**5 + w**k + 4*w**5.
-w**3*(w - 1)*(w + 1)
Let u(y) be the first derivative of -6*y**2 + 8*y - 3/8*y**4 - 70 + 13/6*y**3 + 1/40*y**5. Suppose u(p) = 0. Calculate p.
2, 4
Let s(r) be the first derivative of 0*r - 200 - 1/14*r**4 + 4/7*r**3 - 8/7*r**2. Determine f so that s(f) = 0.
0, 2, 4
Suppose 2*s = 4*j + 146, s + 200 = -10*j + 5*j. Let o be 6/j + 7/((-364)/(-424)). Factor 4*t**3 + 3*t**5 + t**5 - 6*t**3 + o*t**4 + 6*t**3.
4*t**3*(t + 1)**2
Suppose -12*b = -13*b + 2. Suppose 17 = b*n - n - 5*r, -2*n + r = -7. Find d such that -4*d**n - d**3 + d**3 - 3*d**3 + d**3 = 0.
-2, 0
Let w(q) = -193*q**3 - 2206*q**2 - 43524*q - 18262. Let x(m) = 80*m**3 + 1102*m**2 + 21762*m + 9130. Let d(t) = 2*w(t) + 5*x(t). Factor d(c).
2*(c + 39)**2*(7*c + 3)
Suppose 15*x**2 - 27/2*x - 3/2*x**4 - 3/2*x**5 + 15*x**3 - 27/2 = 0. What is x?
-3, -1, 1, 3
Let r be (48/308)/(234/286). Let g(l) be the second derivative of 0*l**2 - 7*l + 0 + 4/21*l**3 + 1/105*l**6 + 1/14*l**5 + r*l**4. Factor g(k).
2*k*(k + 1)*(k + 2)**2/7
Let v(h) be the first derivative of 3*h**5/5 - 33*h**4/4 + 39*h**3 - 135*h**2/2 - 461. Factor v(o).
3*o*(o - 5)*(o - 3)**2
Let a(o) be the second derivative of -10/3*o**3 + 1/6*o**4 - 84 + 2*o + 24*o**2. Factor a(p).
2*(p - 6)*(p - 4)
Let y(x) = 8*x**3 + 1826*x**2 + 1226*x + 10. Let s(w) = -9*w**3 - 1826*w**2 - 1228*w - 12. Let f(b) = 5*s(b) + 6*y(b). Determine p so that f(p) = 0.
-608, -2/3, 0
Let x(m) be the first derivative of 0*m**5 + 16*m**2 + 0*m - 4*m**4 + 0*m**3 + 43 + 1/3*m**6. Factor x(k).
2*k*(k - 2)**2*(k + 2)**2
Let b(t) be the first derivative of -7/6*t**4 - 11*t + 6/5*t**2 + 11/15*t**3 + 4. Let n(u) be the first derivative of b(u). Determine i, given that n(i) = 0.
-2/7, 3/5
Let q(m) be the second derivative of 10*m**3 - 2/21*m**7 - 14/5*m**5 - 9*m - 13 + 50*m**2 - 34/3*m**4 + 6/5*m**6. Determine u, given that q(u) = 0.
-1, 1, 5
Let s = 32337 - 64673/2. Find v, given that 3/8 + s*v**2 - 13/8*v = 0.
1/4, 3
Suppose -1449*s + 1443*s + 120 = 0. Let d = -39 - -70. Factor -50*r**2 + d*r + s - 11*r + 55*r**2.
5*(r + 2)**2
Let f(g) be the first derivative of -g**4/2 + 670*g**3/3 - 28223*g**2 + 55778*g + 1772. What is k in f(k) = 0?
1, 167
Let m(o) = o**2 - 3*o. Let c(i) = 17*i + 104. Let g be c(-6). Let r(v) = -4*v**2 + 10*v - 2. Let b(p) = g*m(p) + r(p). Factor b(d).
-2*(d - 1)**2
Let y be ((-44)/18 + 2)*2358/(-524). Let j = 39 - 23. Factor -20*t + 21*t**3 - 42*t**3 + 20*t**y + j*t**3.
-5*t*(t - 2)**2
Let f(w) = -1934*w + 3868. Let u be f(2). Suppose 5*p - 15 - 5 = 0. Find a, given that -18*a**2 + 6*a**3 - 2/3*a**p + u + 18*a = 0.
0, 3
Let w(u) be the second derivative of -2*u**6/195 + 31*u**5/130 - 46*u**4/39 + 33*u**3/13 - 36*u**2/13 + 4677*u. Solve w(t) = 0.
1, 3/2, 12
Suppose -53 - 1046 = -3*i - 5*s, 2*s - 1484 = -4*i. Factor 269 + 197 + 34 - 327*l - i*l + 245*l**2.
5*(7*l - 10)**2
Let v(c) = 3*c**2 - 2*c + 1. Let q be v(1). Let i = 495668/743529 + 6/247843. Let -4/3 - 2*b - i*b**q = 0. Calculate b.
-2, -1
Suppose 29*l - 16*l - 91 = 0. Suppose 3*t + l - 1 = -2*s, 3*s + 6 = -3*t. Factor 2/11*h**2 + s - 2/11*h.
2*h*(h - 1)/11
Suppose -9 = -3*u, -21 = -y + 3*u - 10. Determine i, given that 24*i + y*i**2 - 29*i**2 + 13*i**2 + 3*i**3 + 23*i**2 = 0.
-8, -1, 0
Let i = -29/133 - -124/133. Let h(c) be the first derivative of -9/14*c**2 - 3/28*c**4 + 0*c + 3/35*c**5 - i*c**3 + 21. Suppose h(u) = 0. What is u?
-1, 0, 3
Let -156/5*v**3 - 16/5*v**4 + 1164/5*v - 136/5*v**2 - 56 = 0. Calculate v.
-7, -5, 1/4, 2
Let g(x) be the third derivative of x**5/12 - 25*x**4/4 - 340*x**3/3 - 84*x**2 - 6. Suppose g(d) = 0. What is d?
-4, 34
Determine o, given that 1/2*o**2 + 37/2*o + 18 = 0.
-36, -1
Let u(i) = 153*
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.2 (b) 4/23 (c) 0 (d) 50 (e) 2
a
What is the closest to -127 in 0, -3/203, 2/3, 5, -1?
-1
Which is the closest to 1? (a) 1.7 (b) -9439 (c) 17 (d) -3/5
a
What is the nearest to 1.6 in 1/6, 1/186, 3, -4/9, 7/2?
3
Which is the closest to 2? (a) -0.3 (b) -0.0985 (c) -2 (d) -6.6 (e) -0.2
b
Which is the nearest to -0.2? (a) 33/2 (b) 3/7 (c) 5 (d) -1.3 (e) -79 (f) -3
b
What is the closest to 0.1 in 6, -1, 117, 3, 2?
-1
Which is the closest to 282635? (a) 3/5 (b) -8/7 (c) 3
c
What is the closest to -0.2 in -1/15, -3/4, 3/7, 50, 0.1742?
-1/15
Which is the nearest to 1? (a) 1/8 (b) -2/3 (c) -6 (d) -5/10072
a
What is the closest to -0.1 in -79, -1, -89, 1, -1.9?
-1
Which is the closest to -4225? (a) 2/1385 (b) 8 (c) -2/11
c
Which is the nearest to -3.5? (a) -60 (b) -18 (c) 3/2 (d) 0.05 (e) -0.1
e
What is the nearest to -3 in 2/5, 0.1259, -21/8, 0?
-21/8
Which is the nearest to -1.72326? (a) 4 (b) 2/23 (c) 4/5 (d) 2
b
Which is the nearest to 4.5? (a) -304 (b) -4781 (c) -5
c
Which is the nearest to 1? (a) -3 (b) 129 (c) 837/8 (d) 0.5
d
What is the closest to 3 in 69301, 252, 5, 2/9?
5
Which is the closest to 0.1? (a) 231 (b) -139 (c) 1 (d) 0.7 (e) -5
d
Which is the nearest to -2/9? (a) -12 (b) -0.047 (c) 3/2 (d) 4 (e) 5/8
b
What is the closest to -202 in 65, 3, -0.4, 5/3, -0.1?
-0.4
What is the nearest to 0 in -3, 192/89, 0, -0.2, -4, 41?
0
Which is the nearest to 0? (a) 6742 (b) 1/4 (c) -3/2 (d) 0
d
What is the nearest to -307 in -85, 3, 9/4?
-85
Which is the closest to -1? (a) -5 (b) -2919 (c) 0.08 (d) -1/2
d
Which is the closest to -1/53? (a) 498 (b) 0 (c) -4 (d) -5/4
b
What is the closest to 3 in 0.04, -2, 1/12, -1/4, 2182?
1/12
What is the closest to -1/2 in 1/4, 6/11, 12667/47?
1/4
Which is the nearest to 2/7? (a) 1 (b) 3 (c) -9.24 (d) -1.87
a
Which is the nearest to -1.81872? (a) 3 (b) -5 (c) -0.1
c
What is the nearest to -7 in 3, 0.2, 169, -30?
0.2
What is the nearest to 4 in 0, 6, -40/3, 5/3, 5/43?
6
Which is the nearest to -17? (a) -4/3 (b) 15.15 (c) 1/4 (d) -0.1
a
Which is the closest to 0? (a) -0.09 (b) 0 (c) 3 (d) 227/8 (e) 2/5 (f) 0.031
b
Which is the closest to -5/48? (a) -0.3 (b) 5 (c) -6 (d) 0.1 (e) 0.01
e
What is the closest to 0.1 in 0, 690, -4.5, -0.3, 4?
0
Which is the nearest to -7/3? (a) -0.1 (b) -2 (c) -4 (d) 10 (e) -0.2 (f) 487
b
Which is the nearest to 2/507? (a) 7 (b) 0 (c) -663
b
What is the closest to 0.0294458 in 2/31, 0.5, 2, -4/7?
2/31
What is the closest to -1/32 in 2/15, 5, -1, -5?
2/15
What is the closest to 1 in -133, -4, 3274?
-4
What is the closest to 1 in 2675, -1/6, -5, 0.19?
0.19
Which is the closest to 1? (a) -3 (b) -3/7 (c) -0.4 (d) 0.0952 (e) -34.7
d
Which is the nearest to -21? (a) -0.4 (b) 1/10024 (c) -0.05 (d) -1
d
Which is the nearest to -2958? (a) 3/5 (b) 0.1 (c) -5 (d) 0.4 (e) -12/5 (f) 5
c
Which is the nearest to 2? (a) 2 (b) -3 (c) 0.1 (d) 9.01738 (e) 1/9 (f) -2
a
Which is the nearest to 2/49? (a) -2/3 (b) 665/2 (c) 2 (d) 3
a
Which is the closest to -3? (a) 2 (b) -7 (c) -2/2885 (d) 0.5 (e) 0.4
c
What is the closest to -7 in 219, -18/5, 0.0556?
-18/5
Which is the nearest to 4152? (a) 0.7 (b) -1/25 (c) 3 (d) 0 (e) -3 (f) -2/11
c
What is the closest to -25 in -3/79, -5, -13/20, -1/2, -4, 12?
-5
Which is the closest to 0.62? (a) 0.09 (b) 2/15 (c) -0.207978
b
What is the nearest to 1/339 in -7, -2, 5, -1/5, 1/5?
1/5
What is the nearest to -0.43 in -8.577, -5/13, -3/2?
-5/13
Which is the nearest to -7? (a) -16/3 (b) 0.6 (c) 12/13 (d) 2
a
What is the nearest to 4/7 in 3/2, 1/2, 568/57, 2, -0.2?
1/2
Which is the nearest to 1/3? (a) -0.2 (b) 5 (c) -0.06 (d) -0.5 (e) -0.3
c
Which is the nearest to 2? (a) -0.4 (b) 0.2 (c) 1/7 (d) 26/7 (e) 3696 (f) -2/7
d
Which is the closest to -37? (a) -3/5 (b) -0.5 (c) -353 (d) 3.4 (e) 0
a
Which is the closest to -3/2? (a) -74 (b) -2/13 (c) -2 (d) -2564
c
What is the nearest to 0.1 in 1, -2/5, 4064229?
-2/5
What is the nearest to -3/17 in -2/9, 1/4, 5, -712.21, 12?
-2/9
What is the closest to -8.77 in 0.5, -8, -208?
-8
Which is the closest to -0.114? (a) 0 (b) -2 (c) 1 (d) -26 (e) 0.2 (f) 37
a
What is the nearest to 5.9069 in 18, 0, 3?
3
What is the nearest to -1295.85 in 3, 3/2, 2/3?
2/3
Which is the closest to -0.1? (a) 11 (b) 4/11 (c) 1/57 (d) 22
c
What is the nearest to 2 in -1/3, -555, -8, 8, -3/5, 13?
-1/3
What is the nearest to 0.04 in -1/8, -1, -5.6, -7/5?
-1/8
What is the nearest to 0.056 in -3/4, 0.4, -1/6, -88?
-1/6
Which is the nearest to 0.6? (a) 59/51 (b) 3 (c) 1/2 (d) -1 (e) 0
c
Which is the nearest to 0.12? (a) -6 (b) 14 (c) -1/2 (d) 12.7 (e) 2
c
Which is the closest to 0.06? (a) -55.9 (b) 10 (c) 3 (d) -0.4 (e) -2/7
e
What is the nearest to 0.1 in -1865, -15, 11/4, 4, -2/19?
-2/19
Which is the nearest to 29.56? (a) -205 (b) 1/7 (c) -8/3 (d) 1
d
What is the closest to 74 in 0.3, -2, -0.34, -16?
0.3
Which is the nearest to 13869? (a) 10 (b) 148 (c) -3
b
What is the closest to -8 in 110, 10/3, 0.5?
0.5
What is the nearest to -7 in 7, 2, -52.28, 0.3?
0.3
Which is the nearest to 0? (a) 1/13 (b) 8/6437 (c) 0.13
b
Which is the closest to 2/7? (a) 36 (b) 0.5 (c) 28 (d) -5
b
What is the closest to -1 in 2/9, 0.05, -1, 0.26584?
-1
Which is the nearest to -0.3? (a) -1/38 (b) 341 (c) 2 (d) 0.3
a
What is the nearest to 0.25761 in -2/7, -4, -0.12, -1/2, 1/6?
1/6
Which is the closest to 1.6? (a) 0.4 (b) 7 (c) -4 (d) 56
a
What is the nearest to 24 in 1, -3/4, 5, -0.024, -62?
5
What is the nearest to -1/5 in -6.109, 57, -4?
-4
Which is the closest to -3? (a) -232.423 (b) 0.5 (c) -0.1
c
What is the nearest to -1 in 2873, -3, 513, -0.5?
-0.5
Which is the closest to -13151? (a) 141 (b) -0.5 (c) -0.1 (d) -1
d
What is the nearest to -4/9 in 9/34, 31/5, -0.4?
-0.4
What is the closest to -2/133 in -40, 3, 209, 0.3?
0.3
What is the nearest to 0 in -0.4, -2/29, -1/2, 661?
-2/29
What is the nearest to 2 in 0.3, 1/13, -5, 185, 50/7?
0.3
Which is the closest to 2/3? (a) -4 (b) 1.27 (c) 12 (d) 0.2 (e) -261
d
What is the closest to -1 in -1/6, 1, 2, -5, -9621934?
-1/6
What is the nearest to 2/5 in -2189, 5/4, 1, 5?
1
Which is the closest to -1? (a) -6 (b) 2/3 (c) 6/5 (d) 44 (e) -0.4
e
What is the closest to -11/5 in 4.1, -306, -5, -4, 0.3?
-4
Which is the closest to 2? (a) 2/7 (b) -0.27 (c) 1/18 (d) 0.3 (e) -124
d
What is the nearest to 984 in 180, 3, 2/5, -4, -5?
180
What is the closest to 72847 in -38, -5, -1/29?
-1/29
What is the nearest to -2 in 0, -124617, -0.2, 5?
-0.2
Which is the closest to -1? (a) 5 (b) -0.5 (c) 656 (d) 4/7 (e) -1/25 (f) -340
b
Which is the closest to -0.1? (a) 303 (b) -159 (c) 5 (d) 0.4 (e) -227
d
What is the closest to 0 in 0.1, 3, -6, -0.037, 0.87?
-0.037
Which is the nearest to 251? (a) -10/49 (b) 0.02 (c) 2/5
c
What is the nearest to -8 in 7462, -2, 4?
-2
Which is the nearest to 10? (a) 123 (b) 16 (c) 2/9 (d) -2/21 (e) 0.2 (f) -1/3
b
Which is the closest to 0.47? (a) 17/4 (b) 2/9 (c) -20 (d) 0.6
d
Which is the closest to -9? (a) 1/33 (b) 1.1 (c) 3 (d) -4 (e) -81/2
d
Which is the closest to -1? (a) -1/134 (b) -1/18 (c) 2/21 (d) 9 (e) -3
b
What is the nearest to -2 in -2/591, 0.4, -2197?
-2/591
Which is the closest to 4? (a) 3/19 (b) -69737 (c) 3
c
What is the closest to -1608 in -5, -1, -3, 0.4, -354/13, 3?
-354/13
Which is the nearest to 6? (a) 20156 (b) -6/13 (c) 2/21
c
Which is the closest to -1.3? (a) -1 (b) 16/5 (c) -1.2044
c
What is the nearest to -2 in -7, 2/11, 2/83, 2/781?
2/781
Which is the nearest to 2562289? (a) -3 (b) 2/13 (c) 1/13
b
What is the closest to 75 in 319, -7, -2/7, -5?
-2/7
What is the nearest to 1697 in -0.5, 0.13, 35/121?
35/121
What is the nearest to -15 in -88, 5, 1?
1
What is the closest to 3 in 1031, -1, -2, -3/5, 4?
4
Which is the nearest to -39? (a) 1 (b) -3019 (c) -5 (d) 2/5 (e) -1/8 (f) 2
c
Which is the nearest to -0.67? (a) 46732 (b) -5/3 (c) -2
b
Which is the closest to 0.5? (a) -39 (b) 8 (c) -208 (d) 0.3
d
Which is the nearest to 0.01? (a) 1/7 (b) -130 (c) -3/10 (d) -5/6 (e) 0.08
e
Which is the nearest to 18/67? (a) -4 (b) 17 (c)
|
{
"pile_set_name": "DM Mathematics"
}
|
Round d to zero dps.
4
Let z = -1.3 - -1.34. Let u = 0.19 - z. Let o = 0.15055 - u. What is o rounded to 4 dps?
0.0006
Suppose 7*a - 106 + 43 = 0. Suppose -a*w = -w + 25600. Round w to the nearest one thousand.
-3000
Let a = -0.0638 + 47.3638. What is a rounded to the nearest integer?
47
Let g = -59 - -39. Let b be 12/(-30)*g/2. Suppose b*i - 11100 = j, 3*j = -5*i - 13674 - 19626. What is j rounded to the nearest 1000?
-11000
Let x = 2.218002617 + -2.218. What is x rounded to seven decimal places?
0.0000026
Let r = 4300 + -1570. Suppose r = c + 5*n, 0*c + 2*c = 5*n + 5400. What is c rounded to the nearest 100?
2700
Let s = 1.295 - 1.297146. What is s rounded to four dps?
-0.0021
Let x = -167 - -270. Let l = -101.66 + x. What is l rounded to one decimal place?
1.3
Let t = 1046 + -1062.56. What is t rounded to one decimal place?
-16.6
Suppose 122 = 4*q - 22. Suppose -q*d + 350000 = -37*d. Round d to the nearest one hundred thousand.
-400000
Let g = 53.063 + -0.063. Let y = -52.9988 + g. Round y to 3 decimal places.
0.001
Let u = 637.999262 - 638. Round u to 4 decimal places.
-0.0007
Suppose -z + 4*n + 3850020 = 0, 7700010 = 2*z - n - n. Round z to the nearest one hundred thousand.
3900000
Let u(k) = -k**3 - 7*k**2 + 6*k - 16. Let h be u(-8). Let w be h/1 + (-802900)/(-7). Round w to the nearest ten thousand.
110000
Let c = -0.073 - -0.263. Let p = -0.149 + c. What is p rounded to 2 decimal places?
0.04
Let r = 70.000000082 + -70. Round r to 6 dps.
0
Suppose -r = -4 + 2. Suppose -i - 58399988 = -3*c, -r*c - 58400016 = i + 2*c. Round i to the nearest one million.
-58000000
Let v = 128.999946 - 129. What is v rounded to four dps?
-0.0001
Let f = -767 - -767.0593. Round f to 2 decimal places.
0.06
Let r be (-5759776)/(-36) - (-4)/18. Suppose -r = -2*p + 3*q, 3*q = 2*p - 5*p + 240006. What is p rounded to the nearest one hundred thousand?
100000
Let i = -0.012875 - -0.03887376. Let w = i + -0.026. What is w rounded to seven dps?
-0.0000012
Let h be 6/(-10) + (-8 - (-260073)/55). Round h to the nearest one thousand.
5000
Let m = -348908 + 349238.407. Let x = m - 330. Round x to 1 decimal place.
0.4
Let f = -37.2 - 112.7. Round f to the nearest integer.
-150
Suppose -5*x - 699985 = 4*l, -12 = x - 5*x. Round l to the nearest 10000.
-180000
Let y = -0.18387 - -76.51387. Let q = y + -76. Round q to 1 dp.
0.3
Suppose 46*d - 632984 = b + 42*d, 4*b + 2531984 = 4*d. Round b to the nearest ten thousand.
-630000
Suppose -2*m + 11242 = -4374. Suppose -10509 = -3*w + 1167. Suppose w = -3*z - m. Round z to the nearest 1000.
-4000
Let f(a) = -a**2 - 4*a + 6. Let h be f(-7). Let j = h + 15. Suppose -6300000 = 3*k - j*k. What is k rounded to the nearest one million?
-2000000
Let y = -1.422 + 1.4220002064. Round y to seven dps.
0.0000002
Let c(w) = w - 3*w - w - 2 - 2*w - 245002*w**2. Let b be c(-2). What is b rounded to the nearest 100000?
-1000000
Let i = 0.771232 + -0.82623139. Let t = i + 0.055. What is t rounded to seven dps?
0.0000006
Let o(w) = -5*w + 7. Let x be o(4). Let t = x - -16. Suppose -4*d = t*y - 87, 5*d = 3*d - 4*y + 56. What is d rounded to the nearest 10?
20
Suppose p = r - 70073 - 71648, -p - 283447 = -2*r. Suppose -6*d - 641167 = -96811. Let s = r + d. What is s rounded to the nearest 10000?
50000
Let x = 286 + -144. Let b = 142.0000095 - x. What is b rounded to six decimal places?
0.00001
Let i = 24.74 + -65.43. What is i rounded to the nearest ten?
-40
Let b be (-1544 + -4 + 2)*10/(-20). What is b rounded to the nearest 10?
770
Let x = -11354 - -7258. Let a = x - -7156. Suppose 0 = j - 0*c + 3*c - a, -3*c - 15300 = -5*j. What is j rounded to the nearest 100?
3100
Suppose 698345 = 5*x - 5*j, x + 4*j - 2*j = 139663. Let k be x/(-11) - 3/1. Let w be k*(-9)/((-9)/(-10)). Round w to the nearest ten thousand.
130000
Let i = 0.695 - 0.6948226. Round i to 5 dps.
0.00018
Let u = -33.6 - -0.6. Let n = u - -31.975. Let v = n - -1.1. What is v rounded to 2 decimal places?
0.08
Let g = 2139.173 - 2138.2030284. Let k = -0.97 + g. What is k rounded to 5 decimal places?
-0.00003
Let l = -20 - -25. Suppose 4*w = 2*w + 5*z, 0 = l*w - 5*z. Let d be 3 - w - (-2 + 5). What is d rounded to two decimal places?
0
Let v = -15662.92999952 + 15662.77. Let d = -0.16 - v. Round d to 7 dps.
-0.0000005
Suppose 2*m + 2*w - 13820 = 0, 2*m - 27645 = -2*m - 5*w. Let i = m - 3855. Round i to the nearest one hundred.
3100
Let v = -31.74 - -32. Let l = v + -0.11. Let h = l + -0.14999992. What is h rounded to seven dps?
0.0000001
Let n = -246 + 387. Suppose 2*b + n = -b. Round b to the nearest ten.
-50
Let r = 919.53958869 + 20.84419241. Let y = -930.38378 + r. Let k = -10 + y. Round k to seven decimal places.
0.0000011
Let c = -3929141 + 1473891. Let d = c - -2455115.9933. Let q = -134 - d. Round q to 3 decimal places.
0.007
Let q = -93320 - -92882.89. Let c = -439 - q. Round c to one dp.
-1.9
Let n = -222.3 - -239. Let w = 15.83 - n. What is w rounded to one decimal place?
-0.9
Let i = -1.3 + 2.8. Let f = 1.533 - i. What is f rounded to 2 dps?
0.03
Let s = 49 - 71. Let p = -26546765 + 26546743.000042. Let d = s - p. Round d to five decimal places.
-0.00004
Suppose -4*y + 197 = -3. Let m be (-4)/10 - 730/y. Let c be 176/3*m/(-2). Round c to the nearest one hundred.
400
Let m(i) = 466135*i**2 - i - 2. Let v be m(-1). Let p = 278134 - v. Round p to the nearest 10000.
-190000
Let k = -3.176 - -3.1. Let f = k + -33.924. Let s = f - -34.0000002. Round s to seven decimal places.
0.0000002
Suppose -2*y + 21 = 3*z + 2*y, 0 = z - 5*y - 7. Let i(c) = c**2 - 23*c - 1. Let l be i(z). Round l to the nearest 10.
-110
Let s = -87800151 - -87800128.9999956. Let d = s + 22. Round d to 6 dps.
-0.000004
Suppose -3*m = -s + 3960000, 2*m = -9*s + 5*s - 2640000. Round m to the nearest one million.
-1000000
Let s = -4 + 9. Let i = 1343 - 1305. Suppose i = 3*x + s. Round x to the nearest ten.
10
Let d = -0.0122773 - -0.01265. What is d rounded to five dps?
0.00037
Let u = 9.319 + -0.159. Let l = 9 - u. Let t = l - -0.160119. What is t rounded to 5 decimal places?
0.00012
Let m = -51 + 53.7. Let t = m - 2.699924. Round t to five decimal places.
0.00008
Let o = -23 + 42. Let l = -18.924 + o. What is l rounded to two decimal places?
0.08
Let f be 133/21 + (-1)/3. Suppose 5*s - f*s - 102994 = 0. Let o be s - (-6)/(-3) - 4. What is o rounded to the nearest ten thousand?
-100000
Let w = 121.05 - 120. Round w to 1 decimal place.
1.1
Suppose -327800010 = 5*r - 0*r + 2*t, -262240015 = 4*r + 3*t. What is r rounded to the nearest one million?
-66000000
Let z = 0.421 - 7.369. Let q = z + 6.7. What is q rounded to two decimal places?
-0.25
Let n = 11204 - 27104. What is n rounded to the nearest one thousand?
-16000
Suppose 5*c = t - 79547, 49*c - 48*c = 4*t - 15898. What is c rounded to the nearest one thousand?
-16000
Let g = 456.1995899 + -456.2. What is g rounded to four dps?
-0.0004
Let t = 1 + 0. Let v = -812.24 - -813.23982. Let w = t - v. What is w rounded to four dps?
0.0002
Let v = -4.41 - -357.41. Let w = -353.00151 + v. Round w to 3 dps.
-0.002
Let q(h) be the second derivative of 6436*h**3 + 8*h**2 + 8*h + 3. Let w be q(-26). Round w to the nearest one hundred thousand.
-1000000
Let m = 9328 - 34571. Let h = 25251.0014 + m. Let c = h + -8. Round c to 4 decimal places.
0.0014
Let r = -11490.88014 + 11491. Let p = -1.12 - -1. Let c = r + p. Round c to four decimal places.
-0.0001
Let r be (-2)/(-8) - 109044039/156. Round r to the nearest one hundred thousand.
-700000
Let m = -825.000081 + 825. Round m to five dps.
-0.00008
Suppose -35 = 5*b + 5*p, -9 = -b + p + 2*p. Let u = b + 3. Suppose -2*j - 145 - 15 = u. Round j to the nearest one hundred.
-100
Suppose -8*s - 4 = -3*j - 4*s, -4*s = 16. Let z be 1*(40/(-2))/(j/22). Round z to the nearest 10.
110
Suppose -5*s = -0*s. Suppose 4*z + 1186019 + 813973 = -4*a, s = -4*z - 2*a - 1999996. Round z to the nearest one hundred thousand.
-500000
Let i = -270338 + 270337.883041. Let k = -0.117 - i. What is k rounded to five decimal places?
-0.00004
Let v = 14051.53 - 13995. What is v rounded to zero decimal places?
57
Let m = 1732 - 976. Let r = 756.00000591 - m. Round r to six decimal places.
0.000006
Let h = 2.5 + 0.3. Let i = 2739 + -2741.7949. Let v = h + i. W
|
{
"pile_set_name": "DM Mathematics"
}
|
y(9). Let x = c + -66. Let f = x + 1774. Is f a composite number?
True
Suppose -4*h = 2*p - 1434, -2*h + 705 = 5*p - 0*p. Is 9/(h/277892) - (-3)/(-10) prime?
True
Let j = 17904 + -6553. Is j a prime number?
True
Suppose 0*w + 2*w + 250 = 5*j, 4*w = -3*j - 526. Let n be -1 + w/(-12) - (-4)/24. Suppose 6*a - b + 2591 = n*a, -a + 650 = b. Is a prime?
True
Is -2578083*(5 - 16/3) a prime number?
True
Let j(p) = 2*p - 6. Let i be j(5). Suppose 37 = 5*q - i*q. Suppose 4*s - 1097 + q = 0. Is s a composite number?
True
Suppose -4671291 = -13*d + 9133109 + 1237887. Is d a composite number?
False
Let k be (2 + 0)*(-29950)/(-100). Suppose -r + 50795 = 2*l, 24791 = l + 3*r - k. Is l prime?
False
Let u(j) = -6*j + 106. Let v be u(0). Let b = v + -720. Is (b/4)/(6 + (-266)/44) composite?
True
Let j = -161845 + 112514. Let q = -28030 - j. Suppose -3*z = -20*z + q. Is z a composite number?
True
Suppose 45*h - 39*h - 12 = 0. Suppose 2*t = -5*z + 5565, -2*z - 2*t = h*t - 2210. Is z a prime number?
False
Suppose 2 = -29*a + 30*a. Suppose -a*j + 3 = -0*j - c, 2*j + 5*c - 9 = 0. Is (-706)/(-4)*1*j a composite number?
False
Let w(i) = 24*i**2 + 57*i + 467. Is w(-38) composite?
False
Let o(k) = -2152*k - 7393. Is o(-90) prime?
False
Let v = -45 - -330. Suppose -5*y + 482 = -h, 3*y + 18*h - 20*h - v = 0. Is y a composite number?
False
Let q(g) = 17*g - 33. Let v be q(3). Suppose 4*y + 4*a + 1000 = 0, -y - 209 = -2*a + 32. Let l = v - y. Is l a composite number?
True
Suppose -24*t + 4572836 = 111*t - 19*t. Is t a composite number?
True
Let f be (-4854)/(-15) - (-18)/(-30). Suppose -3*u + 148 = -f. Is u composite?
False
Let r = -160 - -160. Suppose 3*k + 3*u = 45621, r = 3*k - k - 5*u - 30400. Is k prime?
False
Let b(q) = 30725*q + 5486. Is b(7) a composite number?
True
Let j(h) = 188*h**3 + h**2 + 4*h + 2. Let o(l) = -l**2 + 19*l + 21. Let k be o(20). Suppose 5*i + 12 = 4*s, -2*i - k = -s + 2. Is j(s) a prime number?
True
Let n(g) = -2*g**3 - 7*g**2 - 3*g + 7. Suppose 2*s - 7 = 3. Suppose 2*p - 30 = s*f, 4*p + 9 = -2*f - 3. Is n(f) prime?
False
Let d(q) = q**3 - 4*q**2 - 4*q + 7. Let n be d(9). Let s = 244 - n. Is (39/6)/((-6)/s) composite?
True
Let j be (-44)/55 + 111/(-5). Let p = 19 + j. Let u(t) = -157*t + 3. Is u(p) prime?
True
Suppose s - 701 = 1454. Let y(v) = 180*v + 44 - 46 + s*v. Is y(1) a prime number?
True
Suppose z + 166 = 3*v + 561, 0 = -5*v - 2*z - 640. Let b = -246 - v. Let j = -47 - b. Is j a prime number?
False
Let x(d) = 2414*d + 1358. Is x(36) prime?
False
Let u(i) = 3748*i - 2601. Is u(16) prime?
True
Let v(l) = l**2 - 2*l - 18. Let f be v(6). Suppose f*h = -4449 + 18489. Suppose -h + 789 = -3*p. Is p prime?
False
Let s be (-249)/(1*6 - 874/146). Let z = -12196 - s. Is z composite?
False
Suppose -2*x + 2*u = -1015628, -5*x + 3481999 = -4*u + 942932. Is x a prime number?
False
Suppose 87384 = -379*c + 467*c. Is c a prime number?
False
Let i be (3 + -2 + 1317)*12/8. Let y = i - -5882. Is y prime?
False
Let i(x) be the first derivative of -2*x**2 + 1. Let h be i(-3). Is -1 + 51050/h + 1/(-6) a composite number?
False
Suppose -6 = -6*x - 0*x. Is ((-10)/6 + x)/((-14)/16863) a composite number?
True
Suppose -r - 2*d + 16 = 3*r, 5*d - 24 = -2*r. Suppose -3*t + 6 = -5*z + r*z, 5*t - 8 = 3*z. Is 3*(z + 2) + 6 + 332 composite?
True
Suppose 5*d - 29561 + 10670 = -3*g, -3*g = 3*d - 11331. Suppose 2*h + d = -r + 137, -h = 5*r + 1817. Let p = -1071 - h. Is p prime?
True
Let n be 8 - (8 + 1) - (1 + 1). Is (-3)/2 - -5450*n/(-12) a prime number?
True
Let y be (573/(-2))/(14/((-784)/21)). Let p = y + -457. Is p prime?
True
Suppose 10*t = f - 76057, -647*f - 4*t - 76093 = -648*f. Is f a prime number?
False
Let j(c) = 508*c - 305. Let n(l) = -1018*l + 611. Let x(m) = -13*j(m) - 6*n(m). Is x(-11) composite?
True
Let f be -1 - (2/20 - 762498/180). Let x = f - 262. Is x prime?
False
Let x be ((-258230)/(-45))/(-7) - (-2)/(-9). Let z = 1734 - x. Is z a prime number?
False
Let a(o) = 269*o + 224. Is a(33) a composite number?
True
Let f be -3 - (-6300)/(-52) - 4/(-26). Let n = -39 - f. Is n composite?
True
Let k(i) = -19*i + 2. Let j be k(9). Suppose -3*p + 1581 = 5*h, -2*h + 2*p = -0*h - 642. Let m = h - j. Is m a composite number?
False
Let m = 3051092 - 1823181. Is m prime?
True
Suppose -2*h = -191 + 181. Suppose 2*q = h*i + 3976, -4*q + 8*i - 7*i = -7934. Is q prime?
False
Suppose 152*a = 137*a + 4664805. Is a a prime number?
True
Is 43433 + 1*(-1 + -2) + 99/(-33) prime?
True
Let b be ((-126)/5)/(-3) - (-8)/(-20). Let x(k) = 137*k + 13. Is x(b) prime?
True
Let s(q) = 14*q**3 - 3*q**2 + 11*q + 5. Let u(f) = -4*f - 36. Let m be u(-11). Is s(m) composite?
False
Suppose -183473 = -14*t + 821013. Is t a composite number?
True
Let v be 1/(7/(-2)) - (-6279248)/(-112). Is (0 - -2)/((-10)/v) composite?
False
Let l = 4338 + -1657. Suppose 3*n - l = -s, -5*n + 1374 = s - 1307. Is s prime?
False
Let z(v) = -64148*v + 515. Is z(-3) a composite number?
True
Let n(r) = 0*r - 3*r + 0*r + 14 + 4*r. Let b be n(7). Is (-788)/(-3) + 7/b composite?
False
Suppose -2*v - 61 = -57. Let h = v + 305. Is h a composite number?
True
Suppose -41*q + 244274 = -467887 - 59828. Is q a composite number?
True
Suppose 200*q = 152*q + 3957936. Is q composite?
False
Let o(s) = 45*s**3 - 13*s**2 + 8*s + 15. Let a(b) = 23*b**3 - 7*b**2 + 4*b + 8. Let h(f) = 7*a(f) - 3*o(f). Is h(7) composite?
False
Let t(k) = 7*k**3 - 58*k**2 + 27*k + 125. Is t(34) composite?
False
Let g = -1183 + 2856. Let p = g + -1122. Is p a prime number?
False
Let r(h) = -28*h**2 - 21*h + 1. Let a be r(10). Let g = a - -1536. Let t = g - -2624. Is t a composite number?
False
Let d = -104 - -204. Suppose d = 5*a + 25. Suppose 0 = 19*r - a*r - 1304. Is r composite?
True
Let x(k) = k**3 + k**2 - k - 1. Let p(t) = -591*t**3 + 11*t**2 - t - 7. Let v(r) = p(r) - 6*x(r). Let b be v(-3). Is (-3)/(-8) - b/(-32) a prime number?
False
Let x = -265228 - -511667. Is x a prime number?
True
Let a = 729820 - 331727. Is a a composite number?
True
Suppose -63*m - 90*m + 27784035 = 0. Is m prime?
False
Suppose 29*z - 22497862 + 8276736 = -33*z. Is z a composite number?
False
Let h be ((-4076)/(-18))/((-44)/(-396)). Is h/((0 + 3)*38/399) a composite number?
True
Let o = 1974353 + -572292. Is o composite?
False
Suppose -11 + 29 = -3*h. Let t be h/(9/(27/2)). Let o(q) = -20*q + 5. Is o(t) prime?
False
Let r(v) = 97*v**2 - 26*v - 4. Let s(k) = -97*k**2 + 24*k + 5. Let n(i) = -6*r(i) - 7*s(i). Is n(10) composite?
True
Let q(m) = -15*m - 179. Let o be q(-12). Let u(t) = 27383*t**2 + 4*t - 2. Is u(o) a prime number?
False
Let o(n) = 73*n**2 + 139*n - 735. Is o(34) prime?
True
Let t(p) = 86*p**2 - 17*p - 20. Let h be (-41)/(-123) - 114/(-9). Is t(h) composite?
False
Suppose -4*c = -5*x - 214, -2*c + 81 = -x - 29. Suppose 5*p + 21 = c. Let f = p + 1616. Is f a prime number?
False
Let z be 720/(-100) + (-8)/10. Let j(l) = 72*l**2 - 2*l - 3. Is j(z) prime?
True
Let u(j) = 4*j**2 + j - 1. Let d be u(-1). Let x(h) = 4*h + 106 - h**2 + 4*h**2 - 105 + 3*h**d. Is x(-5) composite?
False
Suppose 6*a + 19 = 11*a - 2*j, 0 = -3*a - 5*j - 1. Suppose a*l - 27544 = p, l + 4*p - 9184 = 7*p. Is l composite?
False
Is -3 + 72/16 - (-18062705)/46 a composite number?
False
Let x(c) = 4*c**2 - 3*c**2 + c + 5*c**2 - 5*c**2 - 37. Let o be x(-7). Let z(y) = 392*y - 11. Is z(o) a prime number?
True
Suppose -2*h = 5*y - 495087, -7*y - 4*h = -9*y + 198054. Is y composite?
True
Let p = 4499 - 6350. Let w = 1352 - p. Is w a prime number?
True
Let f(j) = 167172*j**2 + 327*j + 3. Is f(-2) composite?
True
Let r be -5*(-1)/(-5)*-1. Let x(a) = 3*a**3 + a + 1. Let o be x(-1). Is r + o/12 - (-52230)/24 a prime number?
False
Let i = 1527 - -886. Is i composite?
True
Let v = 1423323 + -637190. Is v composite?
True
Let b(u) = -89*u + 196. Let h be 54/(-36)*(116/(-6))/(-1). Is b(h) composite?
False
Let o = 70802 + -22602. Suppose 9*y = 6*y + 2*l + 36155, -4*y + o = -4*l. Is y prime?
False
Suppose 2*c - 2*w = 12, 5*c = 3*c - 3*w - 8. Suppose -5*r + c*q = -8, 5*q = -4*r + q - 16. Suppose -262 = -2*x - r*x. Is x a composite number?
False
Let j = 162 + -162. Suppose j = -9*i - 4*i + 10387. Is i composite?
True
Suppose 4*o - 88 = 4*n, 8*o + 2*n - 82 = 3*o. Suppose -12887 = -o*p + 11*p. Let r = p - 1063.
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 5*f + 6. Suppose 9*z + 8 = 10*z. Suppose s + 16 = -5*l, -4*s = -2*s - z. Give b(l).
2
Let q(h) = -13*h + 13. Let g(a) = -2*a**2 + 30*a + 110. Let z be g(18). Determine q(z).
-13
Let u(l) be the second derivative of -6*l + 1/2*l**2 + 1/2*l**3 + 0. What is u(-3)?
-8
Let s(y) = 7*y**2 - 4*y + 10. Let p(l) = 13*l**2 - 8*l + 19. Let a(o) = -6*p(o) + 11*s(o). What is a(5)?
-9
Suppose -4*l - 143 = 9. Let u = -36 - l. Suppose 0*p + u*p = -8. Let x(n) = -n**3 - 3*n**2 + 4*n + 3. Give x(p).
3
Suppose -3*n - q = 1, 0*q + 2*q + 2 = 4*n. Let a(y) = -174*y - 3. Let r be a(-1). Let p(b) = -172*b**2 - 2 + r*b**2 - 4*b + 3*b. Give p(n).
-2
Let o(t) = -t - 7. Let z be o(-7). Let d(h) = 0 + 5*h - 6*h + z. Determine d(0).
0
Suppose -v + 5*h - 29 = 0, -v - 16*h - 23 = -19*h. Let x(k) = k + 7. Calculate x(v).
-7
Let z be (-40)/6 - 7/42*2. Let t(h) be the second derivative of 0 - 3/2*h**2 - 1/12*h**4 - 2*h - 4/3*h**3. Give t(z).
4
Let k(g) = -3*g**2 + 4*g - 1. Let f be (0*4/(-16))/3. Let u = 7 - 3. Suppose 12 = u*p - f*p. Calculate k(p).
-16
Let v(c) = 0*c**2 + c**2 - 2014 + 3*c + 2011. Calculate v(-3).
-3
Let j(o) be the third derivative of -o**7/5040 + o**6/180 - o**5/60 + o**2. Let t(c) be the third derivative of j(c). Suppose 262*n = -276 + 1848. What is t(n)?
-2
Let j be (1 - (-1 - 1))*3. Let c be j/7 + (-8)/28. Let i(s) = -5*s**2 + s - 1. Give i(c).
-5
Let c(n) be the third derivative of n**5/30 + 5*n**4/24 - 2*n**3/3 + 313*n**2. Determine c(3).
29
Let f(c) = -c**3 - 6*c**2 - c + 3. Suppose 2*i - 2*b + 2 = 0, 3*i + 4 = b - 7. What is f(i)?
-17
Let i(w) = -7*w - 11. Let m be i(-2). Let r be (1/m)/(1/(-3)). Let k(a) = 16*a**3 - a**2 - 2*a - 1. Give k(r).
-16
Let f = -208 + 217. Let o(z) = 2*z - 23. Give o(f).
-5
Let w(b) = 2*b**2 - 4*b - 1. Let x(s) = 2*s**2 - 4*s - 1. Let p = 22 + -15. Let c(u) = p*w(u) - 6*x(u). Let z be 18*(32/(-12))/8 + 9. Calculate c(z).
5
Let u = 466 + -464. Let a(i) = -3*i**2 - i + 1. Give a(u).
-13
Suppose 17 - 62 = 4*n - 7*v, 5*n = -3*v - 21. Let f(j) = j. Let y(z) = -z**3 - 5*z**2 + 4*z + 1. Let g(r) = -4*f(r) - y(r). Determine g(n).
11
Let h(y) be the second derivative of -y**4/12 - y**3/6 + 2*y**2 - 14*y. Suppose -4*i + 32 = -5*r, -3 = 2*i + 2*r - 1. Calculate h(i).
-8
Let l(v) = 22*v - 24*v + 14 + 7 + 0. Determine l(6).
9
Let u(x) be the first derivative of -x**7/210 - x**5/120 - x**4/24 - 11*x**3 - 30. Let i(j) be the third derivative of u(j). Determine i(-1).
4
Let p be 3*(-6)/(-63) - (-32)/(-14). Let z(f) = -f**2 + f - 1. Let n(m) = m**2 + 3*m - 3. Let k(l) = p*z(l) + n(l). Determine k(-2).
9
Let r(o) = o. Let s(q) = 3*q. Let a(c) = 17*r(c) - 6*s(c). Let g(p) = -p**2 + 3*p - 2. Suppose -2 = t - 1. Let n(j) = t*g(j) + 2*a(j). What is n(4)?
-2
Let o(j) = j**3 + 4*j**2 - 5*j + 7. Let y be 3/18 - 1/6. Let p(i) = -2 + y + 5 + 3 - i. Let d be p(11). What is o(d)?
7
Let m = 16 - 8. Suppose 0 = -8*j + 10*j + m. Let p(z) = -4*z - 6. Give p(j).
10
Let n(s) be the first derivative of -s**3/3 + s**2/2 - 5. Suppose -7*k = -0*k - 14. What is n(k)?
-2
Let v(y) be the third derivative of -y**5/60 - 3*y**4/8 - 2*y**3/3 + 100*y**2. Let m = -8 - 0. What is v(m)?
4
Let u(z) = z + 6. Let v(q) = -4*q - 10. Let g(i) = 7*u(i) + 3*v(i). Calculate g(4).
-8
Let z(d) = -57*d + 1 + 3*d**3 - d**2 - 52*d + 110*d. What is z(-2)?
-29
Let i(l) = -l**2 - 5*l - 9. Suppose 0*q = -a + 5*q + 44, 77 = 2*a + q. Suppose -h - 9 = -r, -2*h + 2*r - a = 3*h. Determine i(h).
-23
Suppose -3*r - 32 = -3*g - 7*r, -3*r - 5 = -5*g. Let d(x) = 2*x**3 - 5*x**2 - 4. Determine d(g).
44
Let g(i) = i**2 - 5*i + 1. Let t(p) be the first derivative of p**4/4 + 8*p**3/3 - 3*p + 5. Let h be t(-8). Let w = 9 + h. Calculate g(w).
7
Let f be (-56)/20 - -1 - (-12)/15. Let g(t) = -2*t**3 + 2*t + 1. Determine g(f).
1
Let c = -1644 - -1643. Let d(h) = 4*h**2 + 0 + 3*h**2 - 1. Calculate d(c).
6
Let i(h) = -4*h. Let m(f) = -3*f. Let n(c) = 5*i(c) - 7*m(c). Let j(y) = -15*y - 34. Let l be j(-2). What is n(l)?
-4
Let u(l) be the first derivative of -l**3/2 + 13*l**2/2 - 32*l + 32. Let y(a) be the first derivative of u(a). Determine y(9).
-14
Let o(y) be the first derivative of -17 + 3*y**2 - 2*y + 0*y**2 - 3*y - 2*y. What is o(5)?
23
Let j(l) be the first derivative of -l**5/60 - l**4/6 + l**3 - 9. Let x(m) be the third derivative of j(m). What is x(3)?
-10
Let p(k) = -k + 5. Let n(d) = 2*d + 4*d + 77 - 97 + d**2. Let i be n(-9). What is p(i)?
-2
Let z be (5/5*-5)/(-1). Suppose 6 = 3*x + t, 3*t = z*x - 10 - 14. Let a(j) = j + 2. What is a(x)?
5
Let l be 3*(-8)/(-16)*2/(-3). Let i(x) = -x**2 + 1. Calculate i(l).
0
Let m(t) = 4*t**2 - 12*t. Let h(x) = 3*x**2 - 12*x + 2. Let b(r) = -5*h(r) + 4*m(r). What is b(-13)?
3
Let v(a) = a + 1. Let f(s) = -3*s - 2. Let c(r) = f(r) + 4*v(r). Suppose 12 = 2*w - 6*w. Let z = 1 + w. What is c(z)?
0
Let j(n) = 1 + 2 - 4 - n**2 - 7*n**2. Let i = -16 + 18. Suppose -4*h = -i*z, 0*h + h + 4*z = -9. Calculate j(h).
-9
Let q(j) = -j**2 - 15. Let w = -16 + 16. Suppose -4*i - 4 + 16 = w, 4*i = -2*d + 32. Suppose d = 2*b, l - 4*b + 28 = 8. Determine q(l).
-15
Let l(p) = 4*p**2 + 2*p + 1. Let u(y) = -9*y**2 - 5*y - 1. Let w(d) = 7*l(d) + 3*u(d). Let o(g) = 1. Let b(h) = 6*o(h) - w(h). What is b(-2)?
-4
Suppose -105 = -7*o - 91. Let i(a) be the third derivative of 0*a - 1/6*a**3 - 1/60*a**5 + 0 - 9*a**o + 1/24*a**4. Determine i(2).
-3
Let x be (30/4*16/24)/(-1). Let g(y) = -7*y - 7. Give g(x).
28
Let l(m) = m**2 + 6*m + 4. Let v(d) = 4*d + 5*d - 3*d - 5 - 5*d. Let s(w) = -w**2 - 6*w + 2. Let b be s(-6). Let i be v(b). Give l(i).
-5
Let j(h) = -4*h**3 + 8*h**2 + 7*h - 10. Suppose -73 - 75 = -4*v. Let y(d) = -32*d - 9 - 3*d**3 + 2 + 5*d**2 + v*d. Let l(r) = -5*j(r) + 7*y(r). Determine l(-4).
-15
Let p(b) = b**3 - 15. Let y be (0/(-16))/(-5 + 7). Calculate p(y).
-15
Let z(c) be the second derivative of c**5/20 + c**4/12 - c**3/6 - 9*c**2/2 - 2*c + 36. What is z(0)?
-9
Let b(w) = w + 19. Let u be b(-20). Suppose -5*a + 72 = 2*c, -c - 1 = 3. Let x(g) = -17 + 2*g - 8*g + a. Calculate x(u).
5
Let p(b) = -534 - 531 - 534 + 1603 - 3*b. Let w = 13 - 8. Give p(w).
-11
Let m(d) = -d + d**3 + 7*d**2 + 0*d**2 - 5 + 8*d. Let p = 465 - 471. Determine m(p).
-11
Let r(j) = 2*j - 12. Let z(b) = -10*b**3 - b**2. Suppose 2*i + 0 = -4*m - 2, 2*m + 5 = -5*i. Let u be z(i). What is r(u)?
6
Let u(a) = -a**2 + 4. Suppose -5*z = -3*j + 8*j + 5, -4*j - 3*z = 0. Give u(j).
-5
Let b(y) = y**2 + 10*y + 3. Let a be b(-10). Suppose -14 - 52 = -a*i. Let m be 68/11 - 4/i. Let d(k) = k - 1. What is d(m)?
5
Let f(r) = r**3 - 3*r**2 - 18*r. Let o be f(-3). Let m(n) = -n + 29. Determine m(o).
29
Let v(g) = -g**2 + 12*g - 1. Let t = -130 + 138. What is v(t)?
31
Let m(j) = -6 - 7*j + 10 + j**2 - 3 - 2*j**2. Let u be m(-7). Let s(p) = 2*p**3 + 1. Determine s(u).
3
Let k(l) be the third derivative of 0*l + 7/12*l**4 - 10*l**2 + 29/6*l**3 + 0. Let z(j) = -5*j - 10. Let v(a) = -4*k(a) - 11*z(a). What is v(-5)?
-1
Let q(y) = -3*y**2 - 42*y - 38. Let m(o) = -5*o**2 - 63*o - 55. Let v(t) = 5*m(t) - 8*q(t). Give v(22).
7
Let g be 3/(-9) - 10/15. Let r(j) = -9*j**3 - 2*j**2 - 3*j - 2. Determine r(g).
8
Let h(u) = -u**3 - 5*u**2 + 6*u + 9. Let o be (0 - (-18)/8) + 3/(-12). Let r be o/3*-3*(-6 - -9). Determine h(r).
9
Suppose -7*a - 3 = -4*a. Let q(s) = 0*s + 3*s**2 + 5*s + 3 + s**2. Let p(n) = -6*n**2 - 8*n - 5. Let b(v) = -5*p(v) - 8*q(v). Give b(a).
-1
Let y(q) = 3*q**2 - 23*q - 32. Let p(x) = -x**2 + 8*x + 11. Let i(z) = -8*p(z) - 3*y(z). Let o(w) = -24*w + 367. Let h be o(15). Calculate i(h).
-6
Let c(f) be the second derivative of f**5/20 - f**4/6 - f**3/2 + f**2 + 3*f - 2. Determine c(3).
2
Let h(g) be the third derivative of -g**5/60 + g**4/24 + g**3/3 + 9*g**2. Let t = -17 - -9. Let y(a) = -a**3 - 9*a**2 - 8*a + 2. Let k be y(t). Determine h(k).
0
Let m(v) = 2 - 5 + 7*v**2 + v**3 - 3*v**2 + v. Let g(r) = 9*r**3 - 1. Let n be g(1). Let s = n + -11. What is m(s)?
3
Suppose 0 = 4*b + d - 8, -3*d - 4 = 5*b - 7*b. Let u(i) be the second derivative of 1/3*i**3 + i**b - i + 0. Determine u(3).
8
Let i(k) = 2 + k**3 - 24*k - 17*k + 4*k**2 + 35*k + 0*k**3. Calculate i(-5).
7
Let x = -18 + 21. Suppose -x*q + 6*q + 0*q = 0. Let m(r) = -r**2 - 6. Determine m(q).
-6
Let q(g) = g + 1. Let a(b) = 3*b + 12. Let r(o) = -a(o) + 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
he fourth smallest value? (a) -1/51 (b) -4 (c) 0.2 (d) 47
d
What is the fourth smallest value in 2/31, -0.4, -0.3, 3?
3
What is the biggest value in -1/17, 2/3, 2/23, 1/4, -2/7?
2/3
Which is the smallest value? (a) 0.1 (b) 5 (c) 6 (d) -8 (e) 1
d
What is the third smallest value in 0.2, 217, 0.07?
217
Which is the third biggest value? (a) 0.5 (b) -4/7 (c) 4 (d) -4.57
b
What is the fourth smallest value in -0.2, 0.06, -64, -1?
0.06
What is the fourth biggest value in -1/6, 2/9, -4691, -3/5?
-4691
What is the third smallest value in 3, -0.03, 1/7, 5/21?
5/21
Which is the second biggest value? (a) 0.2 (b) -25 (c) 0.02 (d) -3
c
What is the fourth smallest value in -4, 0, -4/5, -2/31, -5?
-2/31
What is the third smallest value in 454, -0.5, -3/5, 1?
1
Which is the fourth smallest value? (a) 10 (b) 0.4 (c) -1/10 (d) 4/7
a
What is the biggest value in 0.3, -9, -4, -1/4, -3/5?
0.3
What is the third smallest value in -4, -2, -6857?
-2
Which is the third smallest value? (a) 3 (b) -16777 (c) -2
a
Which is the fourth biggest value? (a) 2 (b) -5 (c) -2/7 (d) -19
d
What is the smallest value in 0.3, -0.3, -1/4, -77?
-77
What is the fourth smallest value in 6, 9, -0.1, -0.4, 4?
6
Which is the second biggest value? (a) 2/11 (b) -1.4 (c) 3/5
a
Which is the fourth biggest value? (a) 130 (b) 4 (c) -0.4 (d) 0.5
c
What is the smallest value in 0.4, 1, 210, -0.1?
-0.1
Which is the second biggest value? (a) 30 (b) 4 (c) 15
c
Which is the second smallest value? (a) 0.514 (b) 3/4 (c) 4.4
b
What is the smallest value in -2, 2/15, -12, -4, 7?
-12
What is the third smallest value in -5, 4, -44, 1/2?
1/2
Which is the smallest value? (a) -14 (b) 3/4 (c) 1/3 (d) 1/5
a
Which is the fourth smallest value? (a) 1/2 (b) -2/9 (c) -0.15 (d) -3
a
Which is the third smallest value? (a) -2/17 (b) -8 (c) 0
c
Which is the biggest value? (a) 0.4 (b) -1 (c) 3.45
c
What is the fifth biggest value in -23, -1/3, -6, -2, -4?
-23
Which is the biggest value? (a) 6/5 (b) 10 (c) 3/11
b
What is the third smallest value in 4, -5, 2, 3/4, -1/6?
3/4
What is the smallest value in -2/11, -4, 110/3, -3?
-4
What is the third biggest value in 12, -1.3, 5?
-1.3
Which is the fourth biggest value? (a) 2/11 (b) -0.1 (c) 14 (d) 3
b
What is the third biggest value in 3, -1/4, -2/9, -0.07?
-2/9
What is the third biggest value in 63/2, -20, 1/3, 2/3?
1/3
What is the third biggest value in 0.003, 2/3, -1?
-1
What is the third biggest value in -0.04, -0.068, -0.5?
-0.5
Which is the third biggest value? (a) -0.2 (b) 167 (c) 3/16
a
Which is the biggest value? (a) -1 (b) 5 (c) -4 (d) 0
b
Which is the second smallest value? (a) -2 (b) -16 (c) -17
b
Which is the biggest value? (a) 4 (b) -2/23 (c) -20 (d) -5
a
Which is the smallest value? (a) -106 (b) -1/3 (c) 0
a
What is the biggest value in -0.6, 3, 15?
15
Which is the smallest value? (a) -9.4 (b) -0.4 (c) 0.3
a
Which is the smallest value? (a) 0 (b) 3 (c) 197
a
Which is the smallest value? (a) 0.09 (b) 2/7 (c) 0
c
What is the fourth smallest value in -2/5, 1/10, 8, -0.09?
8
What is the third biggest value in -0.5, -165/47, 5/3?
-165/47
What is the fifth smallest value in -2/13, 1/2, -0.04, -3/2, -0.2?
1/2
Which is the third biggest value? (a) -5 (b) -3 (c) -1 (d) 186 (e) 4
c
Which is the second smallest value? (a) 1/2 (b) -0.5 (c) 21/4
a
What is the second biggest value in -2/9, -51, 0, 1.3?
0
Which is the second smallest value? (a) 5 (b) 0.3 (c) 13/4 (d) -5
b
What is the smallest value in -2/245, -1/18, 1/4?
-1/18
What is the second smallest value in 2/9, -2/5, -116?
-2/5
What is the biggest value in 24, 2/5, 3?
24
Which is the second smallest value? (a) -1/9 (b) 5 (c) -0.1
c
Which is the biggest value? (a) 0.5 (b) -8 (c) 140
c
What is the biggest value in 2/5, -2/9, -31?
2/5
What is the second biggest value in 3, 5, -1.9?
3
Which is the third smallest value? (a) -12/7 (b) 5 (c) -0.5 (d) 0.4
d
Which is the second biggest value? (a) 0.4 (b) 5 (c) 1/24
a
What is the second smallest value in 5, 30, -223?
5
What is the biggest value in 4, -5/3, 3/10?
4
Which is the biggest value? (a) 0.22 (b) 0.2 (c) 4 (d) -3
c
What is the second biggest value in -2, -5, 0, -19?
-2
Which is the fourth smallest value? (a) 0 (b) -5 (c) 3/5 (d) 3 (e) -1.5
c
What is the biggest value in -3, -82/5, 0.5, 3?
3
What is the fourth smallest value in 5, 0, 52, -4?
52
Which is the second smallest value? (a) -1.55 (b) -0.04 (c) 2/5
b
Which is the second smallest value? (a) -2/3 (b) 19 (c) 0.03 (d) -1
a
Which is the biggest value? (a) 3/8 (b) -4 (c) 0 (d) 2/7 (e) 4/5
e
What is the second smallest value in 244, 0.1, -2/7, -3?
-2/7
What is the smallest value in 0.2, 0, -3, 62?
-3
What is the biggest value in -0.1, 7/9, -1?
7/9
What is the third smallest value in 27/100, 0.1, 0.3, 0?
27/100
What is the third biggest value in -1/125, -1/17, -2/15?
-2/15
What is the second biggest value in 0.7, 3, 4/7, 0.1?
0.7
Which is the biggest value? (a) -3/5 (b) 0 (c) -0.105 (d) -0.1
b
Which is the fifth biggest value? (a) -0.4 (b) -47 (c) 2 (d) 0.5 (e) -1
b
Which is the third smallest value? (a) 26 (b) -1/8 (c) 1/4 (d) 3
d
Which is the fifth biggest value? (a) 0.2 (b) 1 (c) 250 (d) 3 (e) 1/6
e
Which is the fifth smallest value? (a) -3 (b) 0.1 (c) -0.3 (d) -2/5 (e) -1/125
b
Which is the smallest value? (a) 2 (b) -7 (c) 11
b
What is the third smallest value in 3/5, -38, 18?
18
Which is the second smallest value? (a) 0.5 (b) -0.5 (c) -8 (d) 1
b
What is the smallest value in 6, 10/11, 2/5, -0.2?
-0.2
Which is the biggest value? (a) -0.06 (b) -0.1 (c) -1 (d) 4
d
Which is the third biggest value? (a) 8 (b) 8/5 (c) 5
b
What is the third biggest value in -470, 1/16, -5/3?
-470
Which is the fifth biggest value? (a) 5 (b) -24 (c) -4 (d) -7 (e) -2
b
Which is the biggest value? (a) -5 (b) -1/3 (c) -4 (d) 7
d
Which is the second smallest value? (a) -4/7 (b) 11 (c) -0.24 (d) -0.3
d
Which is the smallest value? (a) -2 (b) -0.01 (c) 29
a
Which is the smallest value? (a) -0.2 (b) 4 (c) 15
a
What is the second biggest value in 45/14, 4/7, -1/4?
4/7
Which is the smallest value? (a) 10 (b) -2/11 (c) 5
b
Which is the biggest value? (a) 2/17 (b) 2/13 (c) 1/6 (d) 3
d
What is the third biggest value in -63, -3, 9/5?
-63
What is the third biggest value in -1/8, 1/8, 0.4?
-1/8
Which is the biggest value? (a) -343 (b) -0.2 (c) 2/5 (d) -5
c
What is the third smallest value in -2, -8/19, 2/11?
2/11
Which is the second smallest value? (a) 1/18 (b) 2 (c) 2/7
c
Which is the second biggest value? (a) -114 (b) -5 (c) -1/2 (d) 2 (e) -3/2
c
What is the biggest value in -7, -2, 0.4, 8, -0.11?
8
Which is the third smallest value? (a) -0.11 (b) -1/7 (c) -1/22 (d) -4
a
What is the third biggest value in 5, 0.06, -0.22, -2?
-0.22
Which is the fourth smallest value? (a) 0 (b) -0.1 (c) -0.5 (d) 88
d
Which is the fifth smallest value? (a) -191 (b) -3 (c) -0.1 (d) -1 (e) 2/7
e
What is the biggest value in -5/3, -4, -1, -1.67?
-1
Which is the third biggest value? (a) 30 (b) 0.4 (c) -1 (d) 0.1
d
Which is the smallest value? (a) -0.5 (b) 16 (c) 0.06 (d) -5/3
d
What is the third smallest value in -2/13, 74, 3/17?
74
What is the second biggest value in -2, 2/11, 0.65, -4?
2/11
Which is the fourth biggest value? (a) 2/7 (b) 0.4 (c) -8 (d) 1/5
c
What is the third biggest value in 1.07, 2, 0.5?
0.5
Which is the smallest value? (a) 6 (b) 3 (c) -0.4 (d) 0.3
c
What is the second biggest value in 1, 3/200, -0.5?
3/200
What is the fifth biggest value in 4, 4.6, 4/7, 8, 0.5?
0.5
What is the third smallest value in -4, 0.1, 6, -1?
0.1
What is the biggest value in 1, -5, 15?
15
What is the fourth biggest value in -8/19, 2, 0.2, 1/4, 4?
0.2
Which is the smallest value? (a) 0.5 (b) -1/6 (c) 0.1 (d) 2/17
b
What is the third smallest value in -1/11, 276, 0.4?
276
Which is the fourth smallest value? (a) 6 (b) 2/3 (c) 0.2 (d) 166
d
Which is the biggest value? (a) 3/5 (b) -8/7 (c) 0.2 (d) -0.1
a
Which is the third smallest value? (a) 0.04 (b) 1/4 (c) -1 (d) 0.4
b
Which is the third smallest value? (a) -92.1 (b) 5 (c) -0.1
b
W
|
{
"pile_set_name": "DM Mathematics"
}
|
and 1 s when two letters picked without replacement from {s: 1, b: 3, q: 3, l: 1, w: 1, z: 2}.
2/55
Calculate prob of picking 1 h and 2 t when three letters picked without replacement from {b: 5, a: 2, t: 5, h: 5}.
5/68
Calculate prob of picking 4 s when four letters picked without replacement from {s: 9}.
1
Calculate prob of picking 1 l, 1 i, and 2 z when four letters picked without replacement from {z: 2, s: 1, i: 1, l: 3, b: 6}.
3/715
Calculate prob of picking 2 d and 1 o when three letters picked without replacement from awaktdtoadktkwtw.
1/560
What is prob of picking 3 c when three letters picked without replacement from clllcclclcll?
1/22
What is prob of picking 1 f, 1 t, and 1 g when three letters picked without replacement from {g: 2, f: 1, i: 1, t: 4}?
1/7
Three letters picked without replacement from {o: 1, a: 1, b: 1, z: 1, j: 2, x: 1}. Give prob of picking 1 x, 1 a, and 1 z.
1/35
Three letters picked without replacement from rttmrrrtbrrr. Give prob of picking 1 m and 2 r.
21/220
Two letters picked without replacement from {a: 2, n: 2, r: 2}. What is prob of picking 1 r and 1 a?
4/15
What is prob of picking 1 h and 1 v when two letters picked without replacement from {w: 1, v: 3, f: 4, h: 3}?
9/55
What is prob of picking 1 w and 1 v when two letters picked without replacement from {m: 1, w: 1, i: 5, o: 1, v: 10, y: 2}?
1/19
Calculate prob of picking 1 r, 1 t, 1 h, and 1 q when four letters picked without replacement from wnqwrht.
1/35
Calculate prob of picking 3 i when three letters picked without replacement from lllllillillilllliil.
10/969
Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {g: 2, v: 1, o: 1, b: 1}.
1/10
What is prob of picking 2 q and 1 y when three letters picked without replacement from {i: 2, q: 3, y: 4, s: 1}?
1/10
Four letters picked without replacement from pvdpfffmfpvfvdffff. What is prob of picking 1 v, 2 d, and 1 f?
3/340
What is prob of picking 1 a and 1 b when two letters picked without replacement from {b: 1, o: 5, a: 7}?
7/78
Three letters picked without replacement from {n: 3, k: 3}. What is prob of picking 3 n?
1/20
Three letters picked without replacement from ddddddcdddddd. Give prob of picking 3 d.
10/13
What is prob of picking 3 p when three letters picked without replacement from {d: 3, p: 12, g: 3}?
55/204
Three letters picked without replacement from agagaggaggggaggagag. Give prob of picking 3 g.
220/969
What is prob of picking 1 g and 3 z when four letters picked without replacement from ogvoggogzzoooozozogo?
4/969
Two letters picked without replacement from ynn. Give prob of picking 2 n.
1/3
Calculate prob of picking 1 j and 1 w when two letters picked without replacement from jjjocojcjjwj.
7/66
Calculate prob of picking 2 y when two letters picked without replacement from {y: 9, q: 7, k: 3}.
4/19
Three letters picked without replacement from {t: 3, o: 5}. Give prob of picking 3 o.
5/28
Three letters picked without replacement from {i: 1, p: 2, x: 2}. What is prob of picking 2 p and 1 i?
1/10
Calculate prob of picking 2 u when two letters picked without replacement from uuuuuu.
1
Three letters picked without replacement from bgufdbbbufhgbuhhbd. What is prob of picking 2 h and 1 g?
1/136
Calculate prob of picking 2 q when two letters picked without replacement from {c: 1, i: 1, q: 2, e: 1}.
1/10
What is prob of picking 1 o, 1 p, and 1 z when three letters picked without replacement from zaoppppz?
1/7
Two letters picked without replacement from {f: 7, x: 7, t: 2, s: 2, u: 1}. What is prob of picking 1 u and 1 t?
2/171
Three letters picked without replacement from {z: 4, l: 2, q: 6}. What is prob of picking 2 q and 1 l?
3/22
Three letters picked without replacement from {a: 1, n: 1, r: 1, b: 1, s: 1}. Give prob of picking 1 n, 1 a, and 1 s.
1/10
What is prob of picking 2 a when two letters picked without replacement from ahaammaamhhmaha?
1/5
Calculate prob of picking 2 f when two letters picked without replacement from {d: 2, f: 2}.
1/6
Three letters picked without replacement from igigoiewi. What is prob of picking 1 w, 1 g, and 1 i?
2/21
What is prob of picking 2 j when two letters picked without replacement from {p: 3, m: 4, j: 4, a: 3, s: 2, k: 1}?
3/68
What is prob of picking 1 r and 1 j when two letters picked without replacement from rjrrjjrrrjrjrr?
45/91
Four letters picked without replacement from {i: 1, a: 3, v: 13}. Give prob of picking 3 v and 1 a.
429/1190
Three letters picked without replacement from aadsdyduduya. What is prob of picking 2 u and 1 y?
1/110
Calculate prob of picking 2 m, 1 p, and 1 u when four letters picked without replacement from {p: 1, u: 1, m: 2, q: 2}.
1/15
What is prob of picking 2 d and 1 u when three letters picked without replacement from {o: 2, c: 1, u: 6, d: 4}?
18/143
What is prob of picking 1 h, 2 s, and 1 u when four letters picked without replacement from {s: 4, u: 7, h: 6}?
9/85
Three letters picked without replacement from {l: 1, f: 4, b: 1, i: 1, t: 1, y: 4}. What is prob of picking 1 y, 1 f, and 1 l?
4/55
Calculate prob of picking 1 p, 1 n, and 1 b when three letters picked without replacement from {b: 1, s: 2, n: 1, p: 1}.
1/10
What is prob of picking 1 t and 1 u when two letters picked without replacement from {u: 1, f: 9, b: 1, t: 2}?
1/39
Three letters picked without replacement from {e: 2, g: 1, q: 1, l: 1}. Give prob of picking 1 l and 2 e.
1/10
Two letters picked without replacement from ddooooooodododdd. Give prob of picking 2 o.
3/10
What is prob of picking 2 o and 1 j when three letters picked without replacement from qojjo?
1/5
Three letters picked without replacement from {g: 4, m: 3}. Give prob of picking 3 g.
4/35
Four letters picked without replacement from {i: 11, q: 3, v: 3, d: 3}. Give prob of picking 2 d, 1 q, and 1 v.
9/1615
What is prob of picking 2 m, 1 c, and 1 n when four letters picked without replacement from {n: 2, c: 1, r: 4, m: 2}?
1/63
Four letters picked without replacement from {k: 1, u: 7}. What is prob of picking 4 u?
1/2
What is prob of picking 1 n and 1 e when two letters picked without replacement from neeeeeeeeenn?
9/22
Three letters picked without replacement from {g: 8, t: 2}. Give prob of picking 1 g and 2 t.
1/15
What is prob of picking 2 j when two letters picked without replacement from {j: 3, f: 1}?
1/2
Four letters picked without replacement from bbbbbbbbbbbbbbsbbbbb. Give prob of picking 4 s.
0
What is prob of picking 1 v, 1 p, and 1 w when three letters picked without replacement from cvwfovp?
2/35
Two letters picked without replacement from svsvuvsvsv. Give prob of picking 1 u and 1 s.
4/45
What is prob of picking 4 l when four letters picked without replacement from {l: 11, o: 5}?
33/182
What is prob of picking 1 o and 1 i when two letters picked without replacement from rdiiniodii?
1/9
Four letters picked without replacement from {a: 9, u: 9}. Give prob of picking 2 a and 2 u.
36/85
Calculate prob of picking 1 l, 1 k, and 1 d when three letters picked without replacement from kdllldkwoloj.
4/55
What is prob of picking 1 h, 1 e, and 1 f when three letters picked without replacement from {o: 2, e: 3, h: 5, m: 3, b: 1, f: 1}?
3/91
What is prob of picking 1 u and 1 s when two letters picked without replacement from {u: 2, c: 2, s: 1, f: 6, g: 4}?
2/105
Two letters picked without replacement from kkkkkkxkkkkkkkkxkkxk. Give prob of picking 2 k.
68/95
Four letters picked without replacement from oioooooooooiii. What is prob of picking 4 i?
1/1001
Three letters picked without replacement from {v: 1, y: 1, f: 1, c: 1, p: 2, x: 2}. Give prob of picking 1 v, 1 y, and 1 c.
1/56
What is prob of picking 1 e and 2 d when three letters picked without replacement from edde?
1/2
Three letters picked without replacement from jjjooojojjjjo. What is prob of picking 1 o and 2 j?
70/143
Four letters picked without replacement from pbpppbpbpbbppppbpp. Give prob of picking 4 p.
11/68
Four letters picked without replacement from {y: 4, o: 1, h: 2, z: 1, p: 1, x: 3}. Give prob of picking 1 o, 1 p, and 2 h.
1/495
What is prob of picking 1 f, 1 p, and 1 g when three letters picked without replacement from fppgf?
2/5
Four letters picked without replacement from iyiiyaeaixxiiaa. Give
|
{
"pile_set_name": "DM Mathematics"
}
|
m be w/g - 1/(-3). Give y(m).
-11
Let x(a) = -a**3 - 9*a**2 - 4*a. Let o be 76/57 - (-1)/((-3)/28). Determine x(o).
-32
Suppose -g - 4*g = 0. Let u(r) be the second derivative of r**4/12 - 3*r**2/2 - 224*r. Give u(g).
-3
Let y(f) = -f**3 + f - 1. Let a(w) = -2*w**3 + 17*w**2 + 3*w + 2. Let p(r) = -a(r) + 3*y(r). Let z be p(-17). Let x(j) = j**2 + 7*j + 6. Determine x(z).
-4
Suppose 5*o - 35 = 5*x - 0*o, 0 = 4*x + 5*o + 73. Let l be (0 + 0)/(12/x). Suppose -s - 3 + 6 = l. Let j(u) = -2*u + 4. Calculate j(s).
-2
Suppose 0 = -q + 2*h, -3*h + 1 - 6 = q. Let m(a) = 1298*a + 1298*a - 2 - 2597*a. Give m(q).
0
Suppose n = -1 + 4. Let y be (n/(-6))/((-3)/6). Let a(x) = -1 - 6 + x + x**2 + x**3 + y. What is a(0)?
-6
Let b(n) be the third derivative of -n**7/840 + n**6/60 - n**5/60 - 7*n**4/24 - 5*n**3/3 - 15*n**2. Let k(p) be the first derivative of b(p). Determine k(5).
8
Let t(x) be the third derivative of 2/3*x**3 + 0*x + 0 - 7*x**2 - 1/6*x**4. Let h(b) = -9*b + 7. Let m(i) = 4*h(i) - 7*t(i). What is m(-1)?
8
Let x(g) = -9*g - 1. Let z = 28 - 64. Let b = 34 + z. What is x(b)?
17
Let o(j) = j**2 - 2. Suppose -62*w = -63*w + 115. Let d = 115 - w. Give o(d).
-2
Let v(w) = -29*w**2 - 11*w - 8. Let g(c) = -10*c**2 - 4*c - 3. Let j(b) = 8*g(b) - 3*v(b). Let t = 68 - 66. Suppose -61*n - t = -59*n. Calculate j(n).
6
Let t(v) be the second derivative of v**5/20 + v**4/3 + v**2 + 12*v. Calculate t(-3).
11
Let h = 3783 + -2186. Let k(f) = -1 + 1598*f**2 + 6 - 9*f - h*f**2. What is k(7)?
-9
Let w be (0 - -2) + -6 + -1. Let v(u) be the first derivative of -u**5/120 + u**4/4 + 17*u**3/3 + 14. Let f(q) be the third derivative of v(q). Determine f(w).
11
Let w(a) be the third derivative of a**5/60 - 5*a**4/24 + a**3/6 + 123*a**2. Give w(5).
1
Let y be (-1)/(-1) + -1*1. Suppose y = -4*n - 7 + 19. Let h(g) = 2*g**2 - 3*g + 2. Give h(n).
11
Let s = 91 + -86. Suppose -s + 1 = -u. Let v(r) = r**3 - 4*r**2 + r + 3. Give v(u).
7
Suppose 5*i - 19 = 31. Let x be (-8)/(3/((-15)/i)). Let g(n) = -n**3 + 5*n**2 - 5*n + 2. Determine g(x).
-2
Let r(t) = 7*t**3 - 4*t**2 + 2*t**2 - 4*t - 5*t**3 - 1. Let d be (-1)/(-3) + 2016/756. Give r(d).
23
Let i(y) = -5*y**2 + 10*y + 14. Let h(m) = -10*m**2 + 18*m + 25. Let j(q) = -4*h(q) + 7*i(q). Give j(2).
14
Suppose -120 = 4*k - 116. Let l(i) = 7*i**2 + 2*i. Give l(k).
5
Let f(s) = 2*s**2 - 4*s + 3. Let d(o) = -o**3 + 9*o**2 - 7*o - 4. Let v be d(8). Suppose -8*l = -v*l - 16. Determine f(l).
19
Let j(y) = -3*y - 17. Let p = -278 + 273. Determine j(p).
-2
Let i(h) = -8*h**2 + 29*h + 20. Let l(s) = s**2 - s - 3. Let j(v) = -i(v) - 5*l(v). What is j(8)?
-5
Let w(u) = -u**3 - 10*u**2 - 10*u - 9. Suppose -2*v - 88 = 4*h, -2*v + v + 2*h = 32. Let b = v + 29. Give w(b).
0
Let q(k) be the third derivative of -k**6/120 - 2*k**5/15 - 13*k**4/24 - 3*k**3/2 + 936*k**2. What is q(-6)?
-3
Suppose -6*w - 44 = -74. Let f(h) = 2*h**2 - 11*h + 1. What is f(w)?
-4
Suppose 8*c - 21 + 69 = 0. Let l(x) = -2*x - 2. What is l(c)?
10
Let m be (9 - 10)*(1 + -3 - -1). Let n be m/(-7) + (-609)/(-147). Let l(s) = -s**2 + 2*s + 5. What is l(n)?
-3
Let z = 2682 - 2689. Let l(i) = -i**2 - 11*i - 38. Give l(z).
-10
Let b(q) = 2*q**2 - q**2 + 0*q**2 + 6*q - 2*q**2 - 4. Suppose -2*x + 25 = -5*r, 3*r + 24 = 3*x - 0*x. Suppose -3*j + 2 = -x*l, 3 = -2*j + 2*l + 7. Give b(j).
4
Suppose 3*i = 31 + 17. Suppose 4*q - 2*h = 3*q - 6, 0 = 2*q - 5*h + i. Let d(t) = 3*t + 2 - 6*t - 3*t. Determine d(q).
-10
Let h(v) = 2*v**3 - 11*v**2 + 2*v + 21. Let r be h(5). Let j(u) = -u**2 + 3*u - 2. Calculate j(r).
-20
Let b = 18 + -12. Let y be (-30)/(-20)*4/b. Let a(o) be the first derivative of o**4 - o**3/3 - o**2/2 + o - 3. Calculate a(y).
3
Let x(u) = -u**2 - 9*u - 4. Let t be (-7)/((-28)/8) - 28. Let j = t - -20. What is x(j)?
14
Let x(u) be the second derivative of -u**5/4 - u**4/6 + u**3/6 + 2*u. Suppose -215*w + 2 = -213*w. Determine x(w).
-6
Let o = -17 + 20. Suppose 3*f = -15, j - 9 = o*j + 3*f. Let d(r) = -2*r + r + r**3 + 3*r - j + 4*r**2 + 9. What is d(-4)?
-2
Let a(n) = 5*n - 2*n - 4*n + 1. Let r be 2*(4/(-3) - 30/180). Give a(r).
4
Let u(r) = -409 - 411 + 1243 - 410 + 2*r. Determine u(-6).
1
Let b(l) = 4*l - 3. Let q(y) = -y + 1. Let c be (-7 - (1 + 3)) + 4. Let a(o) = c*q(o) - 2*b(o). Determine a(-8).
7
Let s = -24 + 26. Let g(m) be the first derivative of 1/4*m**4 - 5/3*m**3 + 3 + 2*m + 3/2*m**s. Give g(3).
-7
Let b(u) = -4 + 4*u**2 + 3 + 3 - 1. Let v(x) = 84*x - 419. Let j be v(5). Calculate b(j).
5
Let n = -97 - -97. Let y(v) = -v**3 - v**2 + 33. Give y(n).
33
Let t = 7 - 1. Let s = 8 - t. Let l(b) = -53*b - 1 + 42*b + s. What is l(1)?
-10
Let w(p) = -p**2 + 7*p + 2. Suppose -216*i = -211*i - 25. Give w(i).
12
Let c(o) be the first derivative of 1/3*o**3 + 3*o - 3/2*o**2 + 1. Calculate c(2).
1
Let x(o) = -168*o - 5 + 153*o + 0 + 2 + 4. Suppose -2*g - 2*g + 4 = 0. Give x(g).
-14
Let f(l) = 28*l + 10. Let s(g) = -7*g - 2. Let j(p) = -2*f(p) - 9*s(p). Let d(u) = u + 4. Let o be d(-6). What is j(o)?
-16
Suppose -10*n + 12*n + 2*a = 8, -3*n = -2*a - 2. Let s(l) be the third derivative of 0 + 0*l + 5/24*l**4 - 5*l**n + 2/3*l**3 - 1/60*l**5. Give s(6).
-2
Suppose 21*b + 99 + 69 = 0. Let y(z) = z**3 + 10*z**2 + 5*z - 6. Give y(b).
82
Let x(s) = 33*s + 14. Let p be x(0). Let u(n) = -n**2 + 14*n - 7. Determine u(p).
-7
Let k(q) be the second derivative of q**5/20 - 5*q**4/12 - 3*q**3/2 + 5*q**2/2 + 557*q. Determine k(6).
-13
Suppose 13*z - 30 = -2*z. Let i(s) = -7*s**2 + 73 - 2*s - s**3 - z*s - 66 - 2*s. Determine i(-5).
-13
Let w(n) be the third derivative of 0*n - 5/24*n**4 + 1/2*n**3 + 0 + 14*n**2. Determine w(3).
-12
Let j(y) = -y**2 + 7*y - 1. Let o(a) = a**3 + 4*a**2 - 6*a. Let w be o(-5). Suppose -2*s + 4 = 3*z, -w*z - s + 10 = 1. Let h be 3*z/((-6)/(-5)). Give j(h).
9
Let k(s) = -s**3 - s**2 - s - 5. Let u(i) = -4*i**2 - i - 13. Let m(n) = -2*k(n) + u(n). Give m(2).
7
Suppose 0*o + o - 5 = 0. Let k(b) be the second derivative of b**4/12 - 5*b**3/6 + 3*b**2 + b. Calculate k(o).
6
Let i(a) be the second derivative of -a**5/20 - a**4/6 + 12*a + 4. Suppose 0 = p - 4*p - 6. Determine i(p).
0
Let d = -67 - -66. Suppose o = 2 - 0. Let k(p) = 2*p - 4*p**2 + 0 - p**o + 1. Calculate k(d).
-6
Suppose -11*q - 10*q = 0. Let z(c) be the third derivative of 0 + 1/60*c**5 + 0*c**4 + 0*c + c**2 + 4/3*c**3. Calculate z(q).
8
Let c(t) be the second derivative of t**4/12 + t**3/2 - t**2/2 - 4*t - 70. Give c(-6).
17
Let q(s) = -5*s - 37. Suppose -b - 3*r - 25 = 0, 5*b = -107*r + 105*r - 60. What is q(b)?
13
Suppose 23*l - 21 = 20*l. Let g(w) = w**3 - 7*w**2. Give g(l).
0
Let n(u) = 107 - 2*u + 104 - 219. Determine n(-7).
6
Let u(a) = a**3 + 11*a**2 + 4*a + 2. Let r(g) = -2*g**3 - 22*g**2 - 7*g - 6. Let q(v) = 4*r(v) + 9*u(v). Give q(-10).
14
Let a be (-77 - -2)*(-2)/(36/6). Suppose -a = -2*b - 3*b. Let z(g) = g + 3*g - g**2 + 2*g. Determine z(b).
5
Let o(k) = -k**2 - 12*k + 7. Suppose 3*p + 56 = 4*q, -p + 0*p = -q + 17. Determine o(p).
7
Let f = 48 - 42. Let i = -3 + 5. Let j(r) = 5*r**2 - 5*r**2 + 2*r**i - 6*r - 4 - r**2. Calculate j(f).
-4
Let q(v) = -v**2 + 5*v + 6. Let i be q(7). Let r(f) be the third derivative of f**5/60 + f**4/3 + f**3 + 11*f**2. Determine r(i).
6
Suppose 0*t + 6*t = 108. Let p = -14 + t. Suppose -p + 22 = 3*h. Let l(v) = 2*v - 9. Calculate l(h).
3
Let k(j) = 19*j**2 + 7 + 29*j**2 - 5 - 11*j - 47*j**2 + 2. Give k(10).
-6
Let r(o) = 0*o - o - 2*o. Let t be (-66)/(-176)*(-4)/3*-2. What is r(t)?
-3
Let d be (-1 + 0)/((-2)/10). Let f(z) = 4*z**2 - d*z**3 + 2*z - 1 + 0*z**2 - 5*z**2. Let b be -6*1/(-4) + 2/(-4). What is f(b)?
-5
Let t(g) = g**3 - 5*g**2 - 4*g - 7. Let b be t(6). Suppose 5*u = -4*k + 5, 5*u = 2*k - k + b. Let x(l) = -2*l**3 + 1. Calculate x(u).
-1
Let g(m) be the third derivative of m**4/8 - 35*m**3/6 - 2*m**2 + 32*m. Give g(13).
4
Let v(f) = -f + 1. Let g be 3 + (-1 - -1 - 4). Let s(w) = 5*w**3 - 2*w**2 - 2*w - 1. Let d be s(g). Determine v(d).
7
Suppose 2*l + l = 3. Let d(z) = 9*z**2 - 2*z + 1. Let p be d(l). Let t(v) = -2*v + v - p + 2*v + 0*v. Determine t(4).
-4
Let m(s) = 3*s**2 + 4*s + 2. Let j(w) = 8*w**2 + 11*w + 7. Suppose -11 = -0*l - l. Let z(n) = l*m(n) - 4*j(n). Calculate z(-5).
19
Suppose 9*r = 4*r + 2*x - 31, 3*x = -2*r - 20. Let d be 4/(-2) - r/(
|
{
"pile_set_name": "DM Mathematics"
}
|
se 36 = 5*u - 14. Solve h + h - u = 0, 3*f = -s*h + 9 for f.
-2
Let a(b) = b**3 + 32*b**2 - b - 29. Let m be a(-32). Solve s + 2*g = -s, -5*s - m*g - 2 = 0 for s.
-1
Let i be -1 + 6/3 + -1. Solve 7*w - 5 = 5*q + 2*w, 2*q + 3*w - 3 = i for q.
0
Let g(k) = -k**3 + k**2 + 2*k + 5. Let s be g(0). Solve 0*l - l + 11 = -3*v, 10 = s*v + 4*l for v.
-2
Let w = -8 - -15. Suppose -3*x = -v - 3, 5*v + w = -8. Suppose -3*n + x*n = -9. Solve 3*u - 5 = -2*y, u - n*y + 10 + 3 = 0 for u.
-1
Suppose -7*q - 5*b + 20 = -2*q, 0 = 2*q - 2*b. Solve 0 = -2*f - 4*r + q, -f - 5 = -4*r - 0*r for f.
-1
Suppose b - 3 = 1. Suppose -15 - 10 = -3*d + b*s, -4*s - 1 = 5*d. Solve 2*h = -c - 0 + 9, c = d*h - 16 for c.
-1
Let y be ((-3)/4)/(7/(-196)). Solve -2*a + 5*l - 2 - 5 = 0, 3*a + 3*l - y = 0 for a.
4
Let b(l) = l**3 - 6*l**2 - 5*l - 9. Let q be b(7). Let n be -2 + 3 + -3 + q. Solve -2*x - 2*s + 24 = 3*x, -2*x - n*s = -14 for x.
4
Let j(h) = -h + 6. Let r be j(4). Solve -2*d + 3*k = 13, -4*d - 3*k - r*k + 29 = 0 for d.
1
Let h = 7 - 7. Suppose 4*b - 4 = -5*x, h = -4*b + x - 2*x + 20. Suppose 0*i + b = 3*v - 3*i, 4*v = -3*i + 8. Solve -l = -3*z - 2, v*l + z = -z - 12 for l.
-4
Let q(r) = r + 24. Let o be q(-20). Let d = 1 - -7. Let x = d - 6. Solve 2*s + 22 = o*t, -s - t = -x + 4 for s.
-5
Let k = -10 + 7. Let v = k + 9. Solve -4*g + 10 = -5*b, 4*b - 2*g - 28 = -v*g for b.
2
Let l(i) = -i**3 + 2*i**2 + i + 2. Let k be l(2). Solve 6*c - 2*o = 2*c - 6, -k*c = -4*o + 8 for c.
-1
Let u be ((-10)/(-25))/((-3)/(-15)). Solve 3*s - 12 = 0, 3*s = u*g + 4*s - 14 for g.
5
Let b be -4 + (6 - -3) + 1. Solve -4*q + 16 = -s, -4*s - b = -3*q + 6 for q.
4
Let s be 3*(-4)/(-48)*4. Solve 3*a = -t - s, -t + 4 = -3*t - 4*a for t.
-4
Suppose 3*s = 2*k + 3*k + 34, 2*s = 2*k + 16. Let f(g) = -9*g**3 + g**2. Let m be f(1). Let c = -6 - m. Solve 28 = 4*n + 4*b, -c*n + s = -n - b for n.
5
Suppose -3*b = 3*j + 72, -j - 9 - 15 = -b. Let k be (-51)/(-4) - j/(-32). Solve -r - k = -5*x, -r - r = -3*x + 3 for r.
3
Let l(i) = -9*i - 3. Let o be l(-2). Let c be -2*(3/(-2) - 0). Let x be (-70)/(-15) - (-1)/c. Solve -3*z = o, 2*z = -2*n - x - 7 for n.
-1
Let d = 29 + -21. Solve -2*b = 2, -1 = k + 4*b + d for k.
-5
Suppose -t + 2*n - 6 = 0, -t + 3*t - 3*n + 9 = 0. Solve y + a - 5 = 0, 5*a - 15 = -3*y - t*a for y.
5
Let k = -22 - -14. Let h be (-9 - k)*(-1 + -4). Solve -3*n + c - 4 = -h, -3*c = -4*n - 7 for n.
2
Let n(g) = 5*g**2 - 1. Let b be n(1). Solve b*q + 3*x = x + 4, -3*q + x = 2 for q.
0
Suppose -28 = 5*b + 27. Let f = 0 - b. Let k(n) = -n**3 - 6*n**2 + 5. Let t be k(-6). Solve -3*u - 3*z - f = -2*u, t*u - 35 = 3*z for u.
4
Let q(s) = -7*s**2 + 3*s**2 + 3*s - 6 - s**3 + 1. Let x be q(-5). Let i = -2 + x. Solve 0 = 4*f - 3*c + 3, -17 = 3*f + i*c + 1 for f.
-3
Suppose -16 = 2*v - 3*v - 5*u, 5*v - 3*u = 24. Suppose -15 = v*d - 9*d. Suppose 0 = d*t - 19 - 11. Solve 2*w - 2*y + 0 - t = 0, 4*w - 12 = -2*y for w.
3
Let l be -3*1 + 7/(35/75). Solve -o + 4*k - l = -0*o, -k - 2 = o for o.
-4
Suppose 0 = -3*d - 3 - 6. Let u be (-390)/(-18) + (-1)/d. Suppose 5*c + 4*s - s = u, -4 = 4*c - 3*s. Solve 6 = -c*p + 4*n, -2*p + 4*n = p + 3 for p.
3
Suppose -a = 5*a. Solve a*k - 3*f = 2*k - 16, 5*k - 5*f = 15 for k.
5
Let l = 5 - 1. Suppose 4*m + 8*q = 3*q + 80, m - 35 = -5*q. Solve -d = 3*n - 10 + 30, n = l*d + m for n.
-5
Let p be (-20)/(-6)*(-3)/(-2). Suppose 2*r + p*g = r - 8, -5*r + 3*g + 16 = 0. Solve -j - 2*m - 5 = 0, -r*m = -2*j - 9 - 1 for j.
-5
Let z = -35 + 38. Solve 3*o = 3*b + z, -6*b - 5 = -3*o - 2*b for o.
-1
Let c be ((-21)/(-12) + -1)/(2/8). Solve c*d + 7 = -5*f, -4*d + 4 = -0 for f.
-2
Let s(w) = 2*w - 3. Let n be s(5). Let p = n - -7. Solve -p + 1 = 3*d + 5*u, -d + 4*u = -7 for d.
-1
Let x(y) = -2*y**2 - 5*y - 9. Let b be x(5). Let d be (-2)/(-7) - b/49. Solve -d*m = -2*p + 12, 0 = m + 1 + 3 for p.
2
Suppose -o - s = -20, o - 3*s = 34 - 2. Solve -2*g = -4*d - 0*d - 20, 5*d + o = 2*g for d.
-3
Let g = 9 - 6. Let r(o) = o**3 - 6*o**2 + 7*o - 6. Let d be r(5). Let s(z) = 7*z**2 + z. Let l be s(1). Solve -l = d*q, -13 = -g*m + 4*q - 2 for m.
1
Suppose -m - 5*l = -13, m - l - 15 = -m. Solve q = -5*n - q + 27, m = 2*n - 2*q for n.
5
Let h = 8 - 5. Suppose 0*f + 15 = h*f. Suppose -2*s + 5 = y, -5*s - 3 = y - f. Solve 0 = c, y*l - 3*l - 5*c - 12 = 0 for l.
3
Suppose -25 = -23*d + 18*d. Solve 5*h - 21 - 1 = -j, 0 = d*j + 2*h + 5 for j.
-3
Let g(q) = -2*q - 4. Let p = 15 - 25. Let v be (p/4)/((-2)/(-4)). Let o be g(v). Solve -4*b + 2*n + 16 = 0, 3*b - 2*n - o = 6 for b.
4
Suppose -2*r = 4*r. Solve -5 = s, -2*s + 10 = -4*t - r*s for t.
-5
Suppose -u + 18 = -o + 6*o, -9 = -o - 2*u. Suppose o*l = 3*v + 21, -3*l - 2*v + 0 + 1 = 0. Solve -l*d - 21 = 4*q + q, -3*q = d + 11 for q.
-3
Let c(j) = j**3 + 11*j**2 + 8*j - 17. Let p be c(-10). Solve -d - p*z + 4 = 0, -d = -3*z + z + 1 for d.
1
Suppose 0 = 4*z - 18 + 6. Let h(m) = m**3 - 4*m**2 + 3*m + 3. Let j be h(3). Solve j*d = b - z, -3*b = -3*d - 4 + 1 for b.
0
Suppose -6*j = -128 - 16. Solve -4*m = 4*a + j, -2*a - 8 = a - 2*m for a.
-4
Let y = -6 - -8. Let k be (0 + -3)*30/9. Let z = k + 22. Solve -2*d + 2*r + z = -0*d, -2*r + 4 = y*d for d.
4
Suppose -2 = -y - 0*y. Solve -4 = 6*r - 2*r, -8 = -y*f - 2*r for f.
5
Suppose -2*t = -4*t - 16. Let f(m) = -2*m. Let g be f(t). Solve 4*o = -5*p + 26, p - g = -3*p - 2*o for p.
2
Suppose -68 = 3*d - 7*d. Solve -3*g = -7*g + 5*b + 10, d = 3*g + b for g.
5
Suppose -4*t + 3*t = 5, -p - t - 4 = 0. Let a = 4 - p. Solve a*l + 3*m + 27 = 0, 2*l + 3*l - 3*m + 5 = 0 for l.
-4
Let x(d) = d + 14. Let l be x(-6). Suppose -v = a - 2, 4*v = 4*a + a + l. Solve 0 = -4*w - 2*g - 8, 0 = 2*w - 3*g - v + 6 for w.
-2
Let c(t) = t**3 + 4*t**2 - 3*t + 4. Let a be ((-12)/8)/(3/8). Let d be c(a). Suppose 2*w = 3*w - d. Solve -i + 4*s + w = 0, -18 = 2*i - s + 3*s for i.
-4
Suppose -23 = -3*z + 4*h, 2*z + 2*z + 3*h = 39. Suppose 3*a - 2*a = 6. Solve -u = -2*f + a, -u = 3*f - 3*u - z for f.
3
Let z be (49/3)/((-8)/(-24)). Suppose 4*q + 5*c - z = 0, -4*q - 50 = -9*q - 4*c. Suppose -d = d - q. Solve -5*s - 2*m - 6 = -27, d*m + 21 = 3*s for s.
5
Suppose -5*z + z = -68. Solve 2*t = 5*u + z, -4*t - t = 5*u + 10 for u.
-3
Suppose 0 = 2*y + b, -b = -2*y - 0*y. Let a = 52 + -48. Solve y = 4*f - f - 4*m + 3, -3*m = -4*f - a for f.
-1
Let y(l) = -l - 11. Suppose 8*k - 3*k - h + 44 = 0, 0 = k + h + 4. Let w be y(k). Let b be 0/(w*2/(-3)). Solve -2*r - 22 = -4*x, -2*r + b*x = 4*x - 2 for r.
-5
Let h(z) = -z**2 - 5*z + 2. Let j(q) = 2*q**2 + 9*q - 3. Let k(a) = 5*h(a) + 2*j(a). Let l be k(-7). Solve -s - 4*r = -7 + 2, -s + 5*r - l = 0 for s.
1
Let y(n) be the third derivative of n**5/60 - n**4/6 - 5*n**3/6 + 3*n**2. Let b be y(5). Solve b*a - 2*o = 2*a - 6, 0 = -3*a - 4*o + 9 for a.
3
Let n be ((-2)/(-4))/((-4)/(-8)). Let v = n - -1. Solve 4 + v = -3*k, -3*k - 2 = 4*g for g.
1
Let d = 46 + -46. Solve 3*i - 3 = d, -5*i = -j + 5*j - 17 for j.
3
Suppose -2*n + 2 = 4*j, 2*j = -3*n + n + 4. Solve -3*q = 2*z - 2, 2*q + 4*z - 6 = -n*q for q.
-2
Suppose -5*i = 5*x - 30, 0 = 2*x - 0*x - 4*i. Solve 2*m + 2*g - 10 = 0, 4*m - x*g + 0*g = -4 for m.
2
Suppose 27 = 5*l - f, -2*l - 5 = -4*f - 23. Let t = 0 + l. Suppose 0 = 2*p - 5*p + 87. Solve 2*n = -x + 12, t*n + 2*x + 0 = p for n.
5
Let o = 30 - 28. Solve b + 2*a = 3, o*b = a + 4*a - 30 for b.
-5
Suppose 4*w + b - 21 = 0, 10*b - 2 = -w + 13*b. Solve 2*i + o = i + 1, w*i = -4*o + 3 for i.
-1
Let r(z) be the third derivative of -z**5/60 + z**4/4 - z**3/3 + 3*z**2. Let l = 5 + 0. Let a be r(l). Solve 11 = -a*h - k - 6, 2*h = 4*k + 12 for h.
-4
Let v(d) = d**3 - 10*d**2 + 8*d + 11. Let z be v(9). Let x = 6 - z. Suppose 0 = 2*h + 4*n - 4, h - 4*n - 14 = -6. Solve 16 = x*p, 16 + h = -4*k + 5*p for k.
0
Let i = 66 + -64. Solve -h - 2*w = -0*h - i, 9 = 3*w for h.
-4
Let v be 5 - ((-8)/4 + 2 + 2). Solve 0 = -3*t - 3*s, v*t + 2*s - 15 = 4*s for t.
3
Let s(n) = n**3 - 18*n**2 - 2*n + 41. Let r be s(18). Solve -15 = -2*f - 0*z + r*z, -4*f + z = 15 for f.
-5
Let o = -31 - -51. Solve 0 = -4*r + 2*u + o - 4, -7 = -r + 2*u for r.
3
Let o be 0*2/(-4) + 3. Suppose 2*y - 11 = 5. Let p = y - 4. Solve p*w + 8 = 2*d, o*d - 3 = -0*d - 3*w for d.
2
Let c = -39 + 28. Let t = 31 + c. Suppose y + 4*y = t. Solve -3*n + 3*f - 2 = y, -2*f = 2 for n.
-3
Let x be
|
{
"pile_set_name": "DM Mathematics"
}
|
).
-8
(-1977)/659*(-13)/3
13
What is ((225/9)/550)/(((-4)/2)/(-12))?
3/11
Evaluate (7/28)/((-28)/32).
-2/7
Calculate (-30)/((-42)/7)*31/155.
1
Calculate ((-32)/(-48))/((-52)/1248).
-16
(8/(-30))/((-1)/(4/(24/(-15))))
-2/3
What is ((-15)/(-24)*(-120)/(-150))/((-3)/54)?
-9
Evaluate 16/10*(-15)/(-10)*-5.
-12
What is 6/((-2)/(36/27)*4/(-30))?
30
Calculate 3/(-2)*180/3510.
-1/13
Calculate (-1692)/5640*((-10)/18)/(-1).
-1/6
What is 6264/(-696)*(-10)/6?
15
What is the value of ((-3)/2*13/((-6006)/(-44)))/2?
-1/14
What is the value of ((-4)/6)/(((-243)/27)/(-54))?
-4
Evaluate ((-9*(-28)/2268)/(4/2))/(-1).
-1/18
What is (4/(-2))/10*295/(-354)?
1/6
What is (28/140*5*4/32)/(-1)?
-1/8
((-3)/(-3))/(12/(-14))*684/(-3192)
1/4
What is the value of -28*1*(-7)/140?
7/5
(9/(-648)*-9)/((-11)/((-198)/15))
3/20
Calculate (270/(-756))/(5/132)*14/(-6).
22
Evaluate (1*63/18)/14.
1/4
(4416/(-72))/23*3
-8
What is ((-448)/128)/((-21)/12)?
2
What is (-1192)/(-447)*36/(-4)?
-24
What is the value of (4/(-9))/2*((-1067)/291)/(-11)?
-2/27
What is (-5)/50*2*5/(-22)?
1/22
Evaluate -3*35/42*(-64)/520.
4/13
Evaluate -1*9/63*-7*6.
6
Evaluate ((-10)/(-8))/(870/522).
3/4
Evaluate ((-60755)/(-2514))/(5/6).
29
Calculate 5/225*(-18)/(-9)*3.
2/15
Calculate ((-481)/5772)/((-3)/(-36)).
-1
What is ((-3)/((-117)/4))/((-4)/(-6))?
2/13
8/(240/5)*(-101)/101
-1/6
(-6)/5*(-290)/464
3/4
Calculate ((-6405)/3660)/(77/24).
-6/11
Evaluate ((-5)/15)/(17/459).
-9
Calculate (-176)/(-48)*4/220.
1/15
(4/(-4))/(45/10)
-2/9
What is the value of 826/177*(81/(-6))/9?
-7
1/11*(162/1620)/((-1)/4)
-2/55
Evaluate (19/(76/30))/12.
5/8
What is the value of ((-22)/44)/(3/(9/(-21)))?
1/14
((-1820)/(-2600))/(2/4)
7/5
What is (-19)/((-2128)/96)*(-42)/12?
-3
What is the value of ((-545)/4796)/((-1)/4)?
5/11
((-2)/(-2))/((-238)/102)
-3/7
48/(-33)*(-22)/7744*4
2/121
Calculate (-4*(-12)/56)/((-5)/(-35)).
6
What is the value of 12*((-1)/(10/(-2)))/(52/13)?
3/5
Evaluate (1*(-4)/14)/((-56)/2352).
12
((-4)/6)/((-108)/81)*(-40)/110
-2/11
What is the value of (-3)/(((-40)/60)/((-64)/(-36)))?
8
What is the value of ((-1328)/166)/(-6*(-12)/(-189))?
21
What is the value of 4*(-15)/30*-4?
8
((-1)/(-68))/(424/3604)
1/8
What is the value of 18*14/1512*-8?
-4/3
What is the value of (10/(-4))/((-700)/2352*7/(-10))?
-12
What is the value of (18/(-14))/(120/40)?
-3/7
4/110*28/((-448)/(-80))
2/11
(((-36)/(-54))/((-7)/(-6)))/(4/(-56))
-8
4/(-66)*37884/4592
-1/2
What is (-35)/(-21)*(-450)/(-13125)?
2/35
Calculate (-33*3/(-18)*-1)/((-1)/(-2)).
-11
Evaluate ((-48)/(-20))/((-8)/((-800)/30)).
8
1/(-3)*-3*116/493
4/17
What is (384/(-16)*-1)/((-2)/(-1))?
12
What is (((-2)/(-4))/((-1)/(-2)))/((-484)/(-14520))?
30
What is ((-4)/5)/((1224/(-270))/(-34))?
-6
What is the value of (-8)/(-3)*(-36)/(-80)*-5?
-6
Calculate 11/(3*(-16)/48).
-11
((-26)/(-156))/(1/(-12))
-2
Evaluate (42*(-39)/(-8190))/((-6)/(-80)).
8/3
19593/(-311)*4/(-14)
18
What is the value of (-18)/60*(-10)/12*28/(-1)?
-7
Evaluate ((-5)/4)/((396/(-72))/11).
5/2
6/6*6/18*-30
-10
Evaluate 0/(((-294)/7)/14).
0
(-18)/100*(55/(-33))/(-1)
-3/10
What is the value of (-1)/3*80/((-4560)/171)?
1
What is the value of (648/516)/(-18)*(-4)/(-18)*3?
-2/43
Calculate (645/1505)/(4/7).
3/4
What is ((-1)/(-2))/((-77)/110*-1)?
5/7
Calculate 44/(-1650)*(-45)/(-9).
-2/15
What is the value of (3*(-4)/126)/((-6)/(-72))?
-8/7
What is the value of ((-12)/(-9)*-3)/((-4)/14)?
14
Calculate (216/(-36))/(-3*6/(-48)).
-16
Calculate (3*(-6)/(-48))/(9/3).
1/8
9/1*(-25)/((-375)/(-10))
-6
Calculate (18/(-105))/((-24)/((-64)/(-8))).
2/35
What is (36/(-3465)*-5)/(2*(-3)/(-66))?
4/7
What is (-10)/(9/(-9)*-14)?
-5/7
((-15)/21)/((-3250)/29575)
13/2
Evaluate (1604/2807)/(2/63).
18
What is ((-222)/(-148))/((5/6)/(-5))?
-9
(8/(-12))/(-18*(-5)/405)
-3
What is the value of 6/(11/((-99)/6))?
-9
Evaluate 1/(((-4)/20*1)/1*-5).
1
((-10)/(-42)*(-6)/2)/((-7230)/(-8435))
-5/6
What is the value of -7*(-9)/(-1134)*((-120)/8)/(-5)?
-1/6
What is the value of (3/132)/((-46)/184)?
-1/11
Evaluate 14/(-20)*2352/(-2058).
4/5
Calculate -2*-3*(-36)/40*(-5)/3.
9
55/(-15)*(-1224)/(-561)
-8
Evaluate (-4*1/9)/((-86)/(-6579)*-51).
2/3
(36/(-40))/(633/(-21100))
30
What is 20/(-20)*(-4)/(-44)*-1*-6?
-6/11
What is ((-52)/858)/(3*(-6)/27)?
1/11
24/(-144)*(-4)/(-6)
-1/9
Calculate (17/17)/((-1)/(-3))*-3.
-9
(((-4)/(-2))/(-2))/((-860)/(-215))
-1/4
(-5)/(-15)*(-3852)/(-214)
6
Evaluate 15/(-108)*51/85*5*2.
-5/6
(0/2)/(((-72)/(-96))/(4/(-16)))
0
Evaluate ((-6)/2)/(-24*(-315)/(-1120)).
4/9
-8*(-17)/(-34)*(-9)/78
6/13
What is (12/8)/((-833)/(-1190))?
15/7
Evaluate 16*3/(((-9)/6)/((-17)/(-34))).
-16
Calculate (10/((-600)/36))/(-2).
3/10
What is (-3)/(-2)*848/1272?
1
(-2)/(3/(-33)*((-8)/(-1))/4)
11
What is 0/(-31)*(-6)/(90/(-5))?
0
((-6)/190)/(27/(-90))
2/19
What is the value of 1/(-1*91/39)?
-3/7
Evaluate ((-17)/612*6)/(15/36).
-2/5
Calculate ((-9)/6)/(35/(-175)*30/16).
4
What is ((-48)/(-45))/8*(-3)/(18/30)?
-2/3
Calculate 16/2*183/1098.
4/3
Calculate 3*2/((-29)/((-1334)/12)).
23
Evaluate (3948/(-94))/(-84)*64/(2*-1).
-16
1*(-2)/3*(-12)/140*5
2/7
Calculate (6/(-54))/((-10)/(-15)*(-3)/20).
10/9
Calculate (70/(-49))/(75/42).
-4/5
Calculate (-10)/15*(-24)/(-136).
-2/17
What is the value of (-27)/(-1134)*21*18?
9
What is the value of ((-24)/128)/(-2*21/56)?
1/4
What is ((-36)/(-21))/(38/(-57)*(-3)/(-28))?
-24
-6*(-5)/15*(-476)/(-112)
17/2
What is (21*2/(-231))/(8/11)?
-1/4
Calculate (18/108)/(1*16/(-4)).
-1/24
(-9)/((108/(-3))/(-72))
-18
What is (28/35)/(92/2990)?
26
Calculate (4/(-30))/(-4*((-49)/(-7))/140).
2/3
What is the value of 2/((-35)/((-175)/(-10)))?
-1
What is 115/138*(-54)/(-3)?
15
What is ((-39)/585)/(((-25)/(-5))/90)?
-6/5
What is the value of 4*34/9*513/(-228)?
-34
((-48)/28)/((-22)/(-11)*5/(-35))
6
((-1645)/(-1316))/((-5)/(-104))
26
Calculate 75/(-2)*(-10)/100*4128/860.
18
((2/(-8))/(-1))/((117/(-162))/13)
-9/2
What is the value of ((-351)/78)/((-6)/(-12))?
-9
Calculate (-675)/(-90)*8/6.
10
What is the value of (-12)/(-4)*4/(-8)*4/3?
-2
(-50)/20*76/(-1235)
2/13
What is the value of 6/8*(-11484)/783?
-11
Evaluate (1/(-9))/((-1060)/(-1060)).
-1/9
Evaluate (15/((-180)/(-8)))/(98/(-4557)).
-31
What is 25/(1250/20)*30?
12
((-67)/((-89311)/124))/(-2)
-2/43
Calculate ((-408)/19380)/(2*4*4/80).
-1/19
What is ((-513)/(-342))/((-2)/(-1)*(-1)/(-2))?
3/2
Calculate ((6/(-10))/3)/(29*(-40)/(-5800)).
-1
Evaluate ((184/(-138))/(172/6))/(-2).
1/43
(2367/(-34716))/(6/(-16))
2/11
((-36)/48)/(5/80*-1)
12
((-433)/5196)/(2/(-42))
7/4
27*(-4)/(72/(-6))
9
Evaluate 18/4*(9248/102)/68.
6
What is the value of (308/(-35))/(24/(-60))?
22
Evaluate (-2)/(-12)*(-65)/(-13)*27/30.
3/4
What is the value of ((-28)/231)/(18/27)?
-2/11
2*(-1)/((-20)/110)
11
Calculate (23/((-5175)/(-240)))/(1/(-3)).
-16/5
3/(21/35)*((-120)/25)/12
-2
Evaluate (-3)/120*(-660)/88.
3/16
Evaluate (520/(-624))/(-2*(-15)/24)*-21.
14
Evaluate ((-65)/(-26))/(((-210)/(-72))/(-7)).
-6
What is the value of ((16/18)/(115/(-345)))/4?
-2/3
Calculate (15/3)/((-40)/(-56)).
7
(((-5)/(-4))/(-1))/((-809)/9708)
15
What is 100/250*(-135)/6?
-9
What is the value of ((-15)/40)/((1050/40)/(-7))?
1/10
(3*3)/((-2)/3*(-126)/112)
12
Evaluate (8/(-2))/((-212)/(-212)).
-4
What is the value of 0/(1/(2/4))?
0
3157/(-8118)*(-12)/(-21)
-2/9
Calculate 1/3*357/(-102)*6.
-7
What is (1/(-12))/((-180)/480)*-9?
-2
(-4)/2*-3*3*(-3)/144
-3/8
99/2*(-121)/(-363)*-2
-33
Evaluate (115/((-940)/(-188)))/((-5)/((-1)/(-1))).
-23/5
What is (92/(-322))/((-9)/(-504))?
-16
Evaluate (4/((-304)/(-19)))/((-3)/51).
-17/4
Calculate ((-326)/978)/(2/(-132)*2).
11
(-18)/48*(-160)/(-180)
-1/3
What is ((-20)/(-22))/((-492)/(-13530))?
25
9/216*-28*10/(700/45)
-3/4
Calculate (-56)/14*5/900*-3.
1/15
What is the value of 4/(((-51)/(5049/22))/((-2)/342))?
2/19
Calculate ((-4)/((-36)/3))/(2/(-54)).
-9
Evaluate ((-8)/(-39))/((-2364)/1773).
-2/13
Calculate ((-22)/33)/((-9)/(567/(-154))).
-3/11
Calculate 7775/933*18/(-5).
-30
Evaluate ((-498)/4316)/(3/4).
-2/13
(((-2)/(-7))/(5/(-20)))/(2176/(-448))
4/17
2*((20/25)/4)/((-34)/(-5))
1/17
Evaluate 5/(-3)*-9*(-68)/(-255).
4
(351/5148)/(30/(-20))
-1/22
(-8)/68*119/7
-2
What is the value of -1*20/(-30)*-3?
-2
Evaluate (-3)/(-1*(-18)/60).
-10
-40*((-132)/48)/11
10
Calculate (-4*(-40)/(-288))/(84/189).
-5/4
Evaluate (-140)/49*(-7)/2.
10
5
|
{
"pile_set_name": "DM Mathematics"
}
|
, i = 5*b + 49. Let y = i - 39. Is 32 a factor of ((-1335)/(-25))/(-3)*y?
False
Suppose -2*t = -3*v + 628 - 2320, 5*t - 4*v - 4216 = 0. Is 21 a factor of t?
True
Suppose -6 = -r - 2*t, -4*t + 3*t = -3. Suppose r = -3*q + q + 146. Does 15 divide q?
False
Let k be ((-6)/4)/((-1)/2). Suppose -5*n + 28 = k. Suppose -96 = u - n*u. Is 12 a factor of u?
True
Let a(q) = -q**3 + 15*q**2 - 11*q - 3. Does 34 divide a(6)?
False
Is (-5331)/(-9) + (-2)/6 + -6 a multiple of 17?
False
Suppose -8 = 2*o - 6*o. Suppose -4*v - o = -6. Is (-2 - 1) + v + 9 even?
False
Suppose 37*o + 227 - 10032 = 0. Is o a multiple of 14?
False
Suppose 34*p = 487 + 193. Does 10 divide p?
True
Let p = 29 + -39. Let j = p - -2. Does 9 divide (36/j + 4)*-36?
True
Let l(c) = -14*c**3 + 4*c**2 + 2*c**3 + 7*c + c**3 + 5. Does 11 divide l(-2)?
False
Suppose 4*w - 27 = -i, i = -2*i - 15. Suppose -4*k = -w, -3*k - k = 4*q - 204. Is 16 a factor of q?
False
Let x be 2*(-4 + (-218)/4). Let r = -48 - x. Is r a multiple of 16?
False
Suppose 6*k + k = 63. Suppose -74 = -a + 3*f, k = 4*f - f. Does 30 divide a?
False
Let c(y) = 48*y**3 - 11*y**2 - 13*y - 6. Let k(b) = -16*b**3 + 4*b**2 + 4*b + 2. Let r(i) = -3*c(i) - 8*k(i). Does 8 divide r(-2)?
True
Let d be ((-8)/((-64)/198))/(15/40). Let f = -4 + 25. Suppose 4*c - 46 = -2*p, 4*c - f = 5*p - d. Does 13 divide p?
True
Suppose -f + 48 = 25. Let b = f + -15. Is 2 a factor of b?
True
Let a = 71 - 145. Let i = a + 5. Is -1*(-3 + -3 + i) a multiple of 15?
True
Suppose 16 = -3*q + 5*v - 272, -5*q = 2*v + 449. Let d = q + 166. Suppose -4*u + 9*u - d = 0. Does 5 divide u?
True
Let s(b) = -2*b**3 - 9*b**2 + 13*b - 5. Let k be s(-8). Let f = -159 + k. Is f a multiple of 12?
True
Suppose 4*g - 472 = -2*s, 3*s = -3*g + 7*g + 718. Is s a multiple of 12?
False
Let f(z) = 11. Let a(j) = j + 11. Let q(i) = 3*a(i) - 2*f(i). Is q(3) a multiple of 12?
False
Let w(a) = 2*a**2 + 12*a - 304. Is 13 a factor of w(-25)?
False
Let o(s) = -9*s - 1. Suppose 2*k + 4 = -2*k. Let q be o(k). Suppose 11*l - q*l = 18. Is l a multiple of 6?
True
Let n(y) be the third derivative of y**4/8 - y**3/2 + 3*y**2. Is 3 a factor of n(4)?
True
Suppose -2*j + j - 3 = c, -4*c - 3*j = 9. Suppose a + c*a + 4*z - 170 = 0, -2*z - 170 = -a. Is 22 a factor of a?
False
Is ((-66)/(-4))/((-3)/(-200)*1) a multiple of 70?
False
Let y(i) = i**3 + 18*i**2 + 19. Let m be y(-18). Suppose -m = -4*q + 117. Is 17 a factor of q?
True
Let h = 928 + -400. Is h a multiple of 16?
True
Let v be 2/2 + (-268)/(-12)*3. Suppose -12*i = -16*i + v. Does 17 divide i?
True
Suppose 5*a - 36 = a. Suppose -a*x - 105 = -14*x. Is 11 a factor of x?
False
Let y(m) = -44*m - 276. Does 72 divide y(-35)?
False
Suppose 39 = o + 2*o. Suppose -g = g + 4*c - 18, -5*g - 2*c = -o. Does 29 divide g/4 + (-230)/(-8)?
True
Let x(d) = -d**2 + 6*d - 7. Let f be x(3). Suppose 0 = -a - 2*a - 4*n + 1298, f*a = 3*n + 854. Is 21 a factor of ((-24)/30)/((-4)/a)?
False
Is 13 a factor of (3198/2)/(69/46) + 0?
True
Let y = -202 + 363. Does 23 divide y?
True
Let v(r) = 2*r**2 - 22*r - 10. Is v(16) a multiple of 15?
True
Suppose 3*g - 1495 = 5*y, -5*y = 95*g - 100*g + 2485. Does 5 divide g?
True
Suppose -p - 3 = -2*p. Suppose 2*s + 2*s = p*g, 0 = 5*g - 2*s + 14. Let u = 3 - g. Is 4 a factor of u?
False
Let h be (-88)/(-6)*(-90)/(-20). Let y = h - 21. Suppose -3*n = -f - 2*n + y, -2*n = -5*f + 228. Is 13 a factor of f?
False
Suppose 5*p + 3 = -2, -2*p = -3*d + 29. Is 318/d + 16/24 a multiple of 15?
False
Suppose -2*y - 3*y + 3*i + 3 = 0, y + 2 = -2*i. Suppose -2*h + 1 + 13 = y. Is h a multiple of 2?
False
Let y(x) = x**3 + 2*x**2 - 7*x - 8. Is 4 a factor of y(4)?
True
Suppose 10 = -5*l - 3*f, -25 = l + l - 3*f. Is 9 a factor of (-16)/(-80) - 64/l?
False
Let w = -14 - -19. Let k = -6 - w. Let z = 25 + k. Does 9 divide z?
False
Suppose -n = -94*c + 99*c - 2141, -n + 2171 = -5*c. Does 28 divide n?
True
Suppose 2*z - 12 = -z. Suppose v - 24 = -0*j - z*j, 3*j - 23 = -2*v. Is 4/(-7)*(-14)/v a multiple of 2?
True
Suppose -2*y + 4*y = 4*u + 54, 4*y - 132 = 2*u. Suppose 155 = 4*x + y. Is 5 a factor of x?
True
Let p be 3 + 6*(-20)/6. Let c = -12 - p. Suppose 0 = c*d + 6*z - 3*z - 52, d + 12 = 5*z. Is d a multiple of 7?
False
Let q(v) = -v + 7. Let p(n) = -n + 13. Let c be p(0). Suppose 2*m + 3 = -c. Does 7 divide q(m)?
False
Let q be -11 - 3*1/(-3). Is 27*3 + (-8 - q) a multiple of 25?
False
Let b = -175 + 201. Suppose 0 = 4*p - 65 + 13. Suppose -p = -r + b. Does 13 divide r?
True
Suppose -3*a + 5*b = 64 - 260, 0 = -4*a - 3*b + 300. Is a even?
True
Suppose 4*x - 3 = -271. Let i = 100 + x. Let j = i - -24. Is j a multiple of 19?
True
Suppose -3*h + 12 = 0, q - 3*h - 124 - 62 = 0. Is q a multiple of 12?
False
Let x(n) = -2*n - 20. Let u(h) = -12*h**2 + 2*h - 1. Let a be u(1). Let k be x(a). Suppose 4 = -k*d + 82. Does 13 divide d?
True
Let n = 34 - 44. Let w = 20 - n. Does 15 divide w?
True
Let g = -59 - -61. Suppose g*i = -5*s + 137, i = 3*s - s - 62. Is 5 a factor of s?
False
Let n(t) be the first derivative of t**3/3 + 3*t**2/2 + 2*t + 6. Let g be n(-2). Suppose g = 4*s - s - 90. Does 15 divide s?
True
Let l = 139 + -122. Let v(h) = h**3 - 19*h**2 + 40*h - 19. Is 15 a factor of v(l)?
False
Let a = -13 - -14. Is 12 a factor of (-4)/(3/(-18)*a)?
True
Let y(b) = -7*b - 10. Let j(w) = -7*w - 9. Let h(o) = 5*j(o) - 4*y(o). Is 2 a factor of h(-3)?
True
Let b = -85 - -93. Is 10 a factor of (-1 + -3)*(-4)/b*14?
False
Let q = -39 + 43. Is -10*((-164)/20 + q) a multiple of 14?
True
Suppose -3*d = 5*c - 125, 0 = d + 3*c - 28 - 7. Let f = 81 - d. Does 14 divide f?
False
Let z(s) = -s**3 + 13*s**2 - 10*s - 24. Let y be z(6). Suppose -6*x = -y - 648. Does 10 divide x?
False
Is 4 a factor of (44/10)/(153/30 + -5)?
True
Suppose 13*f + 838 = 2242. Does 49 divide f?
False
Suppose -1377 = -3*x + 3*w, -2*w = -5*x + 1207 + 1088. Does 12 divide x?
False
Is 4 a factor of -4*(-9)/(45/325)?
True
Let q = 804 + 246. Is q a multiple of 71?
False
Let o(k) = 5*k**2 - 146*k + 21. Is o(36) a multiple of 83?
True
Let x(m) = -3*m + 2 + 10 + 4*m - 6. Let v be x(-6). Suppose g + 2*g - 93 = v. Is g a multiple of 31?
True
Let p be -53 - 5 - (1 + -1). Let k = 61 - p. Does 17 divide k?
True
Suppose m + 1 = 6. Suppose -5*t = -m*j + 10 + 10, -3*t - 5*j + 4 = 0. Is 4 a factor of (-2)/(2 + 5/t)?
True
Suppose 2*l + 0*l + 5 = 5*f, -2*f + 2 = 2*l. Suppose -8 = -l*i + i. Is (2 - 1) + (-1 - i) a multiple of 8?
True
Suppose -j + 16 = 4*j - 3*v, 0 = -4*j + 4*v + 16. Let g = j - -20. Is 4 a factor of g?
False
Suppose -2*o = -4*o + 4*l + 216, 5*o - 5*l - 520 = 0. Suppose 7*x = -2 + o. Does 3 divide x?
False
Is 10 a factor of (1 - -3)*65 - 5?
False
Let p(x) = -5*x + 19. Let b(r) = -r + 4. Let l(j) = 22*b(j) - 4*p(j). Let a be l(9). Is 16 a factor of -3 - (a + 3) - -16?
True
Suppose -2624 = -4*g + 256. Is 8 a factor of g?
True
Suppose -44*r = -11*r - 37092. Is 36 a factor of r?
False
Let a(g) = -35*g + 23. Is a(-2) a multiple of 6?
False
Let g(d) = -3*d - 2. Let m = -12 + 10. Let c be g(m). Is (-4)/(-6)*(c - -26) a multiple of 7?
False
Let d(p) = 9*p**2 + 3*p - 18. Is d(-3) a multiple of 18?
True
Suppose 5*g = -5*h - 10, 0 = 3*h + g - 3*g - 4. Let s(p) = 4*p**2 - p + p**2 - 4 + h*p + 0*p. Does 8 divide s(2)?
False
Let c = 29 + 90. Let z = c + 121. Is 8 a factor of z?
True
Let m(n) be the first derivative of n**3/3 + 5*n**2 - 14*n + 7. Let s be m(-11). Let d(o) = -2*o**3 - 4*o**2 + 1. Is 4 a factor of d(s)?
False
Suppose 20 = 5*y, 0 = -2*a + 4*a - 5*y - 274. Is 44 a factor of a?
False
Let b(x) = 17*x**2 + 3*x + 2. Suppose 7*m + 17 = -25. Let c be 2 - m/2*-1. Is b(c) a multiple of 4?
True
Suppose -2086 = -15*z + 8*z. Does 3 divide z?
False
Let t = 11 - 18. Let w(x) = -7*x**2 + 5*x + 78. Let r(v) = -10*v**2 + 7*v + 117. Let n(f) = t*w(f) + 5*r(f). Is 16 a factor of n(0)?
False
Does 22 divide ((-21)/6)/((-9)/18) - -1357?
True
Suppose -5*n - 18*n = -20700. Is 22 a factor of n?
False
Let d(l) = -l**2 + l + 16. Suppose h - 2 = -3*m, -2*m + 5*h = 2*m + 10. Is 4 a factor of d(m)?
True
Suppose 0 = z - 2*z. Let x be (z + -2 - -3) + 2. Suppose -3*h = -3*a - 96, -x*a = -2*h + 3*h - 12. Is 7 a factor of h?
False
Suppose 0 = -85*a + 71*a + 26656. Is 24 a factor of a?
False
Let l(b) = 9*b**2 - 83*b - 11. Does 11 divide l(12)?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
- 13. Suppose 0 = -3*k - 4*j + 845, -5*k - 2*j - 542 = -s. What is k rounded to the nearest ten?
290
Let a = -603750.621 - -603405. Let r = a - -345. Round r to one decimal place.
-0.6
Let k = 778 - 634.7. What is k rounded to the nearest integer?
143
Let n = -0.496999681 - -0.497. What is n rounded to 7 decimal places?
0.0000003
Suppose -3*v = 4*z - 1494, v + 3*z - 163 - 340 = 0. Round v to the nearest 10.
490
Let s = -12.7 + 4.2. Let z = s + 10. Let v = z + -1.5096. Round v to 3 dps.
-0.01
Let n = 11243751.500021 - 11243799.5. Let y = n - -48. What is y rounded to five dps?
0.00002
Suppose 2*n = q - 3*q - 1094592, -n + 4*q = 547316. What is n rounded to the nearest 100000?
-500000
Let r = -0.50355779 - -0.5036. Round r to six dps.
0.000042
Let o = 142146 + -78786. Let d be (o/22)/(3/2). Round d to the nearest 100.
1900
Let a = 217 + -428. Let f = a + 210.618. Round f to 2 decimal places.
-0.38
Suppose 4*y + 113861 = -91535. Let r = y + -132651. Round r to the nearest ten thousand.
-180000
Let f(m) be the first derivative of -2*m**3/3 + m**2 + 31*m - 20. Let w be f(8). Round w to the nearest 10.
-80
Suppose 25340020 = -2*t - 4*o, 10*o = 2*t + 9*o + 25339995. What is t rounded to the nearest 1000000?
-13000000
Let b = 205 - 192.28. Let x = 0.08 + b. Round x to the nearest integer.
13
Let s = -348714 + 28814. What is s rounded to the nearest 10000?
-320000
Suppose 17*p + 5*a + 6160 = 12*p, 3*p + 2*a + 3691 = 0. Round p to the nearest one hundred.
-1200
Suppose 0*n = -n + 3. Suppose 5 = n*x - 1. Let w be 120005 - 4 - x/2. Round w to the nearest ten thousand.
120000
Suppose 2*v - f = 4*v + 31, -4*v - 61 = f. Let n = v - -15. Let g(c) = c**2 - 53000. Let w be g(n). Round w to the nearest ten thousand.
-50000
Let d = -1637381095351260764.00000063 + 1637381085848977622. Let h = 9502283220 + d. Let a = h + -78. Round a to seven dps.
-0.0000006
Let i = 11.5 - 7.92. What is i rounded to one dp?
3.6
Let h = 19444507 - 19444650.00169. Let c = h + 143. Round c to 3 dps.
-0.002
Let d = -3494 - -3494.000004758. Round d to seven dps.
0.0000048
Let v = 661 + -661.0000575. What is v rounded to six dps?
-0.000058
Let b = 23721902 + -23721889.600233. Let h = 0.146 - -12.254. Let f = b - h. What is f rounded to five dps?
-0.00023
Let h = -0.11046 + 413.23046. Let n = -416.4286 + h. Let s = n + 3.3. Round s to three dps.
-0.009
Suppose 0*z + 2*z = 0. Suppose u + 3 - 5 = z. Suppose -267000 = -b - u*b. Round b to the nearest 10000.
90000
Let q = -5.85 - -5.8506675. What is q rounded to 4 decimal places?
0.0007
Let a = -1.88 - -1.896. What is a rounded to two dps?
0.02
Let o be 1 + 1 + -2 + 4. Suppose 4*v = o*j - 5*j + 24627, v + 73907 = 3*j. Suppose 31165 = -2*x - j. What is x rounded to the nearest one thousand?
-28000
Suppose -4*q = -2*v + 2, q - 2*v - 2 = v. Let h be 76000/(-12)*(q + 31). Round h to the nearest one hundred thousand.
-200000
Let s = 118 - 167. Let b = s + 45.47. Let n = b + 3.3. Round n to one dp.
-0.2
Suppose o - 30854 = -154254. Round o to the nearest ten thousand.
-120000
Let w be (-16000)/(-6)*(-342285)/(-38). What is w rounded to the nearest one million?
24000000
Let r = -0.1 - -19.1. Let y = r - 18.902. Let w = -0.1 + y. Round w to two dps.
0
Let v = 452.97 - 456. Let b = v + 3.1. What is b rounded to 2 dps?
0.07
Let t = -46.87 - -46. Let i = -9.7 + 1.63. Let a = t - i. What is a rounded to the nearest integer?
7
Let k = -166191820.98451 + 200288347.984354. Let d = -34096471 + k. Let m = 56 - d. What is m rounded to 5 decimal places?
0.00016
Let n = 0.05693 - 24.92693. Round n to 0 dps.
-25
Let c = 24.153 + -24. Let w = -0.15 + c. Round w to two dps.
0
Suppose -6*t + 10*t = -5*o - 75150, 0 = 3*o - 6. What is t rounded to the nearest one thousand?
-19000
Let n = 13 - 11.3. Let r = -20.965 + 22.66404. Let u = n - r. What is u rounded to 4 decimal places?
0.001
Let o = 11.41 + -127.21. Round o to the nearest integer.
-116
Let a = -0.0843 + 12.1443. Let j = a + -12. Let l = 0.0599784 - j. Round l to six dps.
-0.000022
Let z = -6.8 - 102.2. Let a = 109.0000208 + z. Round a to 6 dps.
0.000021
Let a = -91 - 38. Let n = a + 165.1. Let k = 33 - n. Round k to the nearest integer.
-3
Let l = -0.1862855 - -0.146286. Let j = l + 0.04. Round j to six dps.
0.000001
Let t = -27.53035 - 3.49545. Let y = t + -0.0242. Let m = y + 31. Round m to 2 dps.
-0.05
Suppose -3*n + 4*n - 6550008 = 0. Suppose d - 318884 = v + 991118, 4*v = 5*d - n. What is d rounded to the nearest one hundred thousand?
1300000
Let j = 27.4 - 27.399624. Round j to four dps.
0.0004
Let t = -6 - -1. Let r = -22 - t. Let k = r + 16.99974. What is k rounded to four decimal places?
-0.0003
Let o(f) = -9*f**2 - 2*f + 7. Let y be o(4). Let r = 79 + y. What is r rounded to the nearest 100?
-100
Let h(y) = -7924*y + 7. Let j be h(13). Let z = j - -303005. What is z rounded to the nearest 100000?
200000
Let q = -25.1248 + 25.3. What is q rounded to two decimal places?
0.18
Let b = 30.648 + 32.326. Let i = b - 63. What is i rounded to 1 dp?
0
Let q = 3.199866 + -3.2. What is q rounded to four dps?
-0.0001
Let k(y) = -y**3 - y**2 + 599988. Let i be k(0). Let o = 54 + -51. Suppose 3*f + 5*c - 359985 = 0, 2*f + 4*c - i = -o*f. Round f to the nearest ten thousand.
120000
Let r = -346.3854 - -346.7. Round r to 2 decimal places.
0.31
Let y = -221.0000492 + 221. Round y to five decimal places.
-0.00005
Let s be (-4)/(-18) - (-14)/18*-1214. What is s rounded to the nearest one hundred?
-900
Let v = -6260946 - -10620946. What is v rounded to the nearest one hundred thousand?
4400000
Let j(a) = 15*a - 3871. Let t be j(0). What is t rounded to the nearest one hundred?
-3900
Let g = 1.72 + -2. Let q = g + -0.12. Let u = -0.409 - q. Round u to two dps.
-0.01
Let m = -0.202824 + 31.203864. Let i = -31 + m. What is i rounded to four decimal places?
0.001
Let m be 3 + (-334 + -3)*3. Let j = -2508 - m. Let z be ((-1832)/6)/(2/j). What is z rounded to the nearest 10000?
230000
Let c = -1.93 - 15.77. Let u = 1705 - 1723.79. Let a = c - u. What is a rounded to one decimal place?
1.1
Let q = 0.37 + -0.26. Let u = q - 0.24. Let b = -0.1264 - u. Round b to three decimal places.
0.004
Let r = 6.881 - 7.61. Round r to two dps.
-0.73
Let g be 6*4*(-4)/(-48). Suppose 2*k - g = 10. Let r be (-1 - 3494/k)*-24. What is r rounded to the nearest 10000?
10000
Let r(v) = -v**3 + v**2 - 15*v + 383. Let s be r(0). What is s rounded to the nearest one hundred?
400
Let j(a) = 13499*a**2 + 9*a + 10. Suppose -6*z + z + 50 = 0. Let k be j(z). Round k to the nearest 100000.
1400000
Let d(c) = 186914*c**2 - 12*c + 74. Let w be d(9). What is w rounded to the nearest one million?
15000000
Let m = -2.1 + 4. Let b = m - 1.8994. What is b rounded to 3 dps?
0.001
Let n = 1.3 + -1.47. Let p = 0.16999942 + n. What is p rounded to 7 decimal places?
-0.0000006
Let l be -11944*10/1 - 0. Let r = -23108 - 6332. Let d = r - l. Round d to the nearest 10000.
90000
Let p be ((-8)/(-10))/(2/(-18415)). Let j = -3593 + 2427. Let u = j - p. What is u rounded to the nearest one thousand?
6000
Suppose 6 = -s + 3. Let a be ((s + -106)*1)/(-1). Suppose -a = 6*j - 25. Round j to the nearest ten.
-10
Suppose -2*g - 12 = -4*u, 0*u - u - g = 0. Let y be -5*u*4/(-5). Suppose i - n - n = -y, -4*i + 2*n - 8 = 0. Round i to five decimal places.
0
Let p = -0.168245 + 0.168. Round p to 4 decimal places.
-0.0002
Let z = 94 + -92. Suppose -4*a - 3*o + 27163 = 0, 2*a + z*o = -2*o + 13584. What is a rounded to the nearest one thousand?
7000
Let j = -14504618.899826 + 14504602. Let h = 0.79 + -17.69. Let s = h - j. What is s rounded to 5 decimal places?
-0.00017
Let t = 11114 + -11112.8659. Let w = t + -1.14. What is w rounded to three dps?
-0.006
Suppose 0*y = 2*b + 4*y + 43000000, -3*y = -3*b - 64500009. Let v be (-2)/5 + b/(-5). What is v rounded to the nearest one million?
4000000
Let c = 5315895846.649061 + -5315893357. Let w = 2276.6492 - c. Let y = 213 + w. What is y rounded to five dps?
0.00014
Let i = -78 + 62.4. Let q = 15.6000302 + i. Round q to six dps.
0.00003
Let v = 300 - 299.8. Let g = -57375.200046 + 57375. Let f = v + g. Round f to 5 decimal places.
-0.00005
Suppose 644 = m - 405. Let h = 532 - m. What is h rounded to the nearest one hundred?
-500
Let b = -0
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3. Let c be j(7). Suppose -o + 259 = 2*m, -c*o + 274 = -3*o - 3*m. Is o a prime number?
False
Let r be (-5)/10 + (-22)/(-4). Suppose -5*s - 2*k + 285 = 0, 0*s = -r*s - k + 285. Is s prime?
False
Suppose z = -3*z + 5276. Is z a composite number?
False
Suppose 3548 = r + 3*r. Is r a prime number?
True
Let t(o) = -o + 402. Let z be t(0). Is -3 + -1*z/(-3) a prime number?
True
Suppose -t + 8 = t. Let r = t + 19. Is r prime?
True
Let w be (-5055)/(-9) - (-6)/(-9). Suppose -q + w = 2*q. Is q a prime number?
False
Suppose -d + 5*s + 198 = 0, 3*d + 4*s = 6*d - 605. Suppose -d = 4*n - 3*m, n = 3*n + 3*m + 115. Let g = 32 - n. Is g a prime number?
False
Suppose -t + 570 = 4*t. Let f = t - 61. Is f a composite number?
False
Let b(u) = 43*u**3 - 2*u**2 - 9*u + 7. Is b(3) prime?
True
Suppose l + 35 = -x + 3*x, 2*x + 3*l = 15. Suppose -2*b = 3*b - x. Suppose -2*z + 39 = -b*y + 12, -4*z + 9 = 3*y. Is z a prime number?
False
Let b be (1 - 1) + 570/(-6). Let m = b - 232. Is 4/6 + m/(-9) a prime number?
True
Let w(z) be the first derivative of -z**5/60 + 3*z**4/8 - 7*z**3/6 + z**2 - 1. Let b(c) be the second derivative of w(c). Is b(7) prime?
True
Suppose -3*a - 2*v + 235 = -2*a, 5*a - 5*v = 1250. Suppose -2*o + 242 = 4*w, -2*o + 0*w + a = 3*w. Is o composite?
False
Let h(c) = 13 + 3*c + 13 - 4. Is h(15) a composite number?
False
Is 7/(14/8) + (198 - 1) a composite number?
True
Suppose -5*f = -21 + 6. Suppose 0 = f*u - 2*a - 3*a - 43, -9 = -u + 3*a. Is u a prime number?
False
Suppose 0 = 6*o - 2*o. Suppose 4 = 4*c, o*n + 386 = 4*n - 2*c. Is n a composite number?
False
Let l(s) = 14*s + 1. Let d be l(1). Let t be (20/d)/((-4)/(-6)). Suppose -5*b - 250 = -3*o - 2*o, 4*o + t*b = 230. Is o a prime number?
False
Let x(b) = 11*b**3 + b**2. Let m be x(-1). Let s(g) = -3*g + 7. Is s(m) composite?
False
Let z be 12/5 + 4/(-10). Suppose -4*n + 8 = -4*j, z*j + n = -j - 2. Is (-3 - 4)/(j/3) a prime number?
False
Let u(q) = -q**3 + 7*q**2 - 5*q + 4. Let d be u(6). Let t = -3 + d. Is t prime?
True
Suppose -2*k - 29 = -99. Is k composite?
True
Let i(z) = 2*z + 1. Let k be i(1). Let r be (k - 2)*(-3 + 2). Let c = r + 8. Is c composite?
False
Let o(w) be the second derivative of 13*w**4/6 - w**3/2 - w**2/2 + 5*w. Is o(-2) a prime number?
True
Let o = -18 + 39. Is o composite?
True
Suppose 0 = -3*h - 2*j + 5, h - 3*j - 21 = -4*h. Suppose w + 500 = 4*l + 3*w, -5*w + 361 = h*l. Is l a composite number?
False
Suppose -r + 9 = 2*r. Suppose -u - 90 = -2*u + c, -286 = -r*u - 5*c. Let x = u + 29. Is x prime?
False
Suppose -4*r - 4 = 0, 2*j + 3*j + 5*r - 20 = 0. Suppose -3*l + x = -125, -j*l + 3*x + 2*x = -195. Let p = l + -8. Is p a composite number?
True
Is (-10 - -7)/((-9)/11091) a composite number?
False
Let w = 1965 - 1352. Is w composite?
False
Suppose -f + 4 + 1 = 0. Let u(z) = 5*z**3 - 4*z**2 + 6*z - 2. Let v(h) = -11*h**3 + 8*h**2 - 13*h + 4. Let k(t) = 9*u(t) + 4*v(t). Is k(f) a composite number?
True
Let i(j) = 2 + 3 + 0*j - j. Is i(3) composite?
False
Let j(b) = -8*b**3 - 2*b**2 + b - 1. Suppose -f = 2*f + 6. Is j(f) prime?
True
Let n(p) = -3*p + 10. Let g be n(-7). Let f = -10 + g. Is f composite?
True
Suppose -3*v = 3*v + 780. Let r = v + 575. Is r composite?
True
Suppose 3*x - 1 = 14. Suppose -9 = x*p - 3*q, -q + 4 = -3*p - 3. Let w(u) = -3*u**3 + u**2 + u - 2. Is w(p) a prime number?
False
Suppose 4*n = n - o + 1078, 5*n - 1797 = -2*o. Is n a composite number?
False
Let u = 12 + -8. Suppose 8*k - u*w = 4*k + 484, -k - w + 117 = 0. Is k a prime number?
False
Let g(u) = -u**2 + 34*u + 25. Is g(20) a composite number?
True
Let p(y) = y**3 + y**2 - 3*y. Let b be p(3). Let i = 30 + b. Is i a composite number?
True
Let s = 10 + -6. Suppose -s = -3*z + z. Suppose -30 = -z*a + 32. Is a a composite number?
False
Suppose 4*s - 4 = 4. Suppose 0 = -s*d - 43 + 185. Suppose 3*i + 7 = -2*c, -5*i + 26 = -5*c + d. Is c a composite number?
True
Suppose 5*w - 20 = -0. Let l(g) = -16*g + 3. Let u be l(2). Let a = w - u. Is a a composite number?
True
Suppose 15*t - 1174 = 13*t. Is t a prime number?
True
Is (-12)/54 + 1 + 506/9 a composite number?
True
Suppose c + d - 687 = 0, 2*c - 4*c = 4*d - 1366. Is c a prime number?
True
Suppose 4*p - 6 - 2 = 0. Let g be 333/5 + p/5. Suppose h = n + 34, 2*h - g = 5*n - 8. Is h prime?
True
Suppose 2*z - 38 - 350 = 0. Let b = -88 + z. Is b prime?
False
Suppose -5*n + 414 + 1221 = 0. Is n composite?
True
Let o = 1 + 2. Suppose 4*q - o*q - 35 = 0. Is q a composite number?
True
Let k be 328/6 - 8/(-24). Suppose 0 = -4*b - 0*b - 12, 43 = -5*f - b. Let z = k + f. Is z a prime number?
True
Let k be (-3 - -2)/(2/2). Is ((-4)/(-8))/(k/(-430)) prime?
False
Suppose 1495 = -5*z - 1445. Is z/(-27) + (-10)/(-45) prime?
False
Let t = 10 - -101. Suppose 5*z - 175 = 45. Suppose t = f - z. Is f a composite number?
True
Let v(b) = -7 - 4*b - 7*b - 7*b - 15*b. Is v(-6) composite?
False
Let i = -20 - -2119. Is i a prime number?
True
Let i = -18 - -20. Suppose -3*s + i*l + 628 = -3*l, 4*s - 4*l - 840 = 0. Is s a prime number?
True
Let d(b) = -3*b**3 + 9*b**2 - 2*b - 6. Let p(o) = 2*o**3 - 8*o**2 + 2*o + 5. Let c(v) = 3*d(v) + 4*p(v). Is c(-6) prime?
False
Let f = 608 + -255. Let j = f - 198. Is j composite?
True
Let c(m) = -3*m**2 + 5*m + 5. Let k(l) = 3*l**2 - 5*l - 4. Let x(g) = -3*c(g) - 4*k(g). Let u(a) = -a**2 + 1. Let v(r) = -2*u(r) + x(r). Is v(4) composite?
False
Let u(i) = i**2 - 10*i - 4. Is u(11) a prime number?
True
Let b(r) = -3*r**3 - 3*r**2 - r - 4. Suppose 0*s + 4*s = -12. Is b(s) a prime number?
True
Let t = -23 - -24. Let h(a) = 511*a**3 + a**2 - 1. Is h(t) a composite number?
True
Suppose -5*n - 21 - 29 = 0. Let x be (6/4 - 2)*n. Suppose -3*d + 42 = 3*b, 5*b + 36 = x*d - 34. Is d a composite number?
True
Is 86 + (0/2 - -3) a composite number?
False
Suppose v - 21 = -3*j, -3*v + 3*j = -j - 102. Suppose -6*q = -q + v. Is (q/5)/(2/(-15)) a composite number?
True
Let o(p) = 109*p**2 + 2*p + 1. Let a be o(-1). Suppose -2*r + a - 28 = 0. Suppose -4*n + 0*n = -r. Is n a prime number?
False
Suppose -7*j - 1035 = -6698. Is j prime?
True
Suppose 1 = -2*d - 3*z, 3 = 3*d - 4*z + 13. Let n = d - 1. Is 2 - n/((-6)/(-38)) prime?
False
Let d(x) = 6*x**3 - 2*x**2 + x. Let r be d(1). Suppose 4*q = -r*n + 4*n + 264, 0 = 3*n + 12. Is q a composite number?
False
Let r = 33 - -51. Let l = r + 32. Let d = -81 + l. Is d a prime number?
False
Let u(t) = t**3 + 2*t**2 - 2*t - 3. Let a be u(-2). Suppose -2*d = 2*x + 18, d = -0*d - a. Is ((-106)/x)/((-4)/(-16)) a prime number?
True
Let d = -115 + 162. Is d composite?
False
Let d = 16 - 10. Suppose -v = v - d. Is v a prime number?
True
Let b = 212 - 33. Is b a composite number?
False
Let k be 4 - 74*1/(-2). Suppose f = k + 68. Is f a composite number?
False
Let y(b) = 5*b**3 + 2*b**2 + 4*b - 1. Is y(4) prime?
True
Suppose 5*s + 3 = -q - 4, -s = -4*q + 77. Let y = q - 12. Is y composite?
True
Let r be (-60)/14 - 4/(-14). Let o(u) = u**3 + 3*u**2 - 3*u + 5. Let d be o(r). Is (-1)/1*d - -38 a composite number?
False
Let k(b) = -b**3 - 16*b**2 - 13*b + 13. Suppose -7*z + 3*z = 64. Is k(z) prime?
False
Let s(n) = n**3 + 5*n**2 - 5*n + 8. Let h be s(-6). Suppose -38 = -4*m + h*m. Is m a composite number?
False
Is (609/35)/(2/10) a composite number?
True
Let f = -11 - -13. Let j = 2 - 2. Suppose -2*u - l + 5*l + 72 = j, 0 = 4*u + f*l - 194. Is u a composite number?
True
Let h be 0 - (1 - (1 + 10)). Suppose v = y + h, 3*v + 4*y + 1 = 3. Is v/21 + 467/7 composite?
False
Let b be 0/2 + 0 + 262. Suppose 3*m - b = -h, m + h - 3*h - 99 = 0. Is m a prime number?
True
Suppose 2*o - 1962 = 4*f + 1048, 0 = -3*o - 4*f + 4495. Is o prime?
False
Let d(i) = -23*i + 10. Let w(m) = -68*m + 30. Let u(g) = 11*d(g) - 4*w(g). Is u(5) a prime number?
False
Let j = -6 - -10. Let w = 85 + j. Suppose -5*f + 96 + w = 0. Is f prime?
True
Suppose 0 = -j + 11 - 2. Let n = -5 + j. Is 14/n - (-1)/(-2) composite?
False
Let j(a) = 11*a. Let y be j(1). Suppose -p + 12 = -y. Is p a composite number?
False
Suppose 0 = n + a - 63, n = -4*n + 4*a + 333. Is n a composite number?
True
Let z(p) = p + p + 419 - p. Is z(0) prime?
True
Let w(r) = -16*r - 13. Let v(a) = 65*a + 52. Let x(k) = -2*v(k) - 9*w(k). Is x(16) a prime number?
False
Suppose 2 + 3 = s. Suppose -k - 14 = 4*z
|
{
"pile_set_name": "DM Mathematics"
}
|
en two letters picked without replacement from {s: 1, l: 2, y: 4}?
1/21
Three letters picked without replacement from hggds. Give prob of sequence hsg.
1/30
What is prob of sequence dfd when three letters picked without replacement from {d: 7, f: 2}?
1/6
Two letters picked without replacement from {j: 4, t: 15}. What is prob of sequence jj?
2/57
Four letters picked without replacement from jqbbjqjq. Give prob of sequence bjjb.
1/140
Calculate prob of sequence yddi when four letters picked without replacement from ddddydyddyydyydyiyy.
9/1292
Four letters picked without replacement from {r: 4, p: 8, c: 2, n: 4, m: 1}. Give prob of sequence pcpc.
7/5814
Calculate prob of sequence xd when two letters picked without replacement from ebtbedbtnbtxxd.
2/91
Calculate prob of sequence ogn when three letters picked without replacement from {n: 2, o: 2, i: 4, g: 2, m: 2}.
1/165
What is prob of sequence bjbj when four letters picked without replacement from {b: 3, j: 4}?
3/35
Calculate prob of sequence wec when three letters picked without replacement from wwwwecewwwwceewwwew.
20/969
Two letters picked without replacement from {j: 2, s: 10}. What is prob of sequence js?
5/33
Four letters picked without replacement from nnhiiqs. What is prob of sequence nisn?
1/210
Calculate prob of sequence qss when three letters picked without replacement from qsossooqssqos.
15/286
Three letters picked without replacement from znssstzzqmss. What is prob of sequence nqz?
1/440
Calculate prob of sequence yco when three letters picked without replacement from cyccycooycccccoy.
9/280
Four letters picked without replacement from {u: 8, d: 7, g: 5}. Give prob of sequence uudg.
49/2907
Four letters picked without replacement from pjjeu. Give prob of sequence ujpj.
1/60
Calculate prob of sequence lnlm when four letters picked without replacement from {i: 2, l: 2, n: 4, m: 5, k: 1}.
5/3003
Calculate prob of sequence ni when two letters picked without replacement from bnffnfi.
1/21
Two letters picked without replacement from {v: 1, y: 5, n: 6, t: 1, d: 6}. What is prob of sequence ty?
5/342
Two letters picked without replacement from sbusdiw. What is prob of sequence bw?
1/42
Calculate prob of sequence faf when three letters picked without replacement from {a: 1, f: 3}.
1/4
Two letters picked without replacement from eikkkcmivikm. What is prob of sequence vi?
1/44
Three letters picked without replacement from nnxrxnxxlxxxxrxwxrrr. Give prob of sequence rxr.
5/171
Calculate prob of sequence jjj when three letters picked without replacement from {j: 9, k: 3}.
21/55
Four letters picked without replacement from {g: 3, v: 15}. What is prob of sequence vggg?
1/816
Calculate prob of sequence ata when three letters picked without replacement from {v: 2, t: 1, h: 1, a: 2}.
1/60
Calculate prob of sequence llv when three letters picked without replacement from {i: 6, l: 5, k: 1, v: 4}.
1/42
Three letters picked without replacement from {z: 9, d: 5}. What is prob of sequence ddd?
5/182
Three letters picked without replacement from sqfrqbprrrfbpqq. What is prob of sequence fqp?
8/1365
Three letters picked without replacement from eeceerrrc. Give prob of sequence eee.
1/21
Four letters picked without replacement from {w: 4, t: 3, f: 2, p: 9}. What is prob of sequence fptf?
1/1360
Calculate prob of sequence ghj when three letters picked without replacement from {l: 2, j: 1, g: 1, y: 2, h: 1}.
1/210
Calculate prob of sequence cc when two letters picked without replacement from {i: 11, c: 9}.
18/95
What is prob of sequence oa when two letters picked without replacement from ffjjjujfafjaffuuoo?
2/153
Three letters picked without replacement from ofiiifiifhqfifiqoh. What is prob of sequence ioq?
7/1224
Four letters picked without replacement from {n: 1, x: 1, q: 2, d: 2, p: 2, k: 10}. What is prob of sequence dkkp?
1/204
Calculate prob of sequence itd when three letters picked without replacement from idddtid.
4/105
What is prob of sequence xx when two letters picked without replacement from {z: 1, a: 1, x: 7}?
7/12
Three letters picked without replacement from mzzanmaammtzmmmmmam. What is prob of sequence mmn?
5/323
Two letters picked without replacement from {i: 1, r: 2, f: 1}. Give prob of sequence rr.
1/6
What is prob of sequence kup when three letters picked without replacement from pppkupupk?
5/126
Two letters picked without replacement from {g: 1, j: 4, p: 2, s: 3, n: 1, v: 1}. Give prob of sequence gv.
1/132
What is prob of sequence sg when two letters picked without replacement from {i: 7, q: 5, t: 3, s: 2, j: 2, g: 1}?
1/190
Three letters picked without replacement from ennemeeeefeeffef. Give prob of sequence nem.
3/560
Calculate prob of sequence iuhx when four letters picked without replacement from hihiixiu.
1/210
Calculate prob of sequence qqqq when four letters picked without replacement from qqqqqq.
1
Two letters picked without replacement from {x: 5, v: 1, s: 1, a: 2, p: 1}. What is prob of sequence sp?
1/90
Four letters picked without replacement from amyoxamyomammbo. What is prob of sequence ayxo?
1/1820
Four letters picked without replacement from ididiidpimdiddd. What is prob of sequence dpid?
1/130
What is prob of sequence kdk when three letters picked without replacement from {r: 1, d: 1, k: 18}?
17/380
What is prob of sequence ppxx when four letters picked without replacement from xnupnuunxnxxnpnbx?
1/1428
Two letters picked without replacement from mmsmmsmbbmmsmsmmss. Give prob of sequence bm.
10/153
Three letters picked without replacement from {o: 2, m: 1, f: 1, q: 1, k: 1, w: 2}. What is prob of sequence wkw?
1/168
Four letters picked without replacement from pcyypcycbccyp. What is prob of sequence cyby?
1/286
What is prob of sequence uggg when four letters picked without replacement from {u: 2, g: 5}?
1/7
Three letters picked without replacement from {d: 10, i: 2}. What is prob of sequence ddd?
6/11
Three letters picked without replacement from ndnddndnddddn. Give prob of sequence dnn.
40/429
Two letters picked without replacement from {b: 6, t: 4}. Give prob of sequence tt.
2/15
Three letters picked without replacement from {s: 6, a: 1, y: 2, k: 3, z: 3}. Give prob of sequence yys.
2/455
Four letters picked without replacement from {m: 1, t: 2, v: 1, i: 1, g: 1, e: 1}. Give prob of sequence tevi.
1/420
What is prob of sequence mqxc when four letters picked without replacement from {m: 4, i: 1, c: 3, x: 10, q: 1}?
5/3876
Three letters picked without replacement from {a: 2, e: 7}. What is prob of sequence eee?
5/12
What is prob of sequence puk when three letters picked without replacement from kppukpupkpu?
1/22
Two letters picked without replacement from bbbo. What is prob of sequence bb?
1/2
Four letters picked without replacement from {l: 5}. Give prob of sequence llll.
1
Calculate prob of sequence ttg when three letters picked without replacement from gruqtrtgtgrrete.
6/455
Four letters picked without replacement from {s: 6, i: 7}. Give prob of sequence isis.
21/286
Calculate prob of sequence ut when two letters picked without replacement from utttuuutututu.
7/26
Two letters picked without replacement from {p: 4, x: 3, s: 9}. What is prob of sequence xp?
1/20
Calculate prob of sequence po when two letters picked without replacement from ddddodpddooooddojoo.
4/171
Two letters picked without replacement from kdkiqqkkkkdsiks. What is prob of sequence dk?
1/15
Calculate prob of sequence zz when two letters picked without replacement from tszsz.
1/10
What is prob of sequence yyud when four letters picked without replacement from {v: 1, y: 4, d: 2, p: 2, u: 1}?
1/210
Four letters picked without replacement from {i: 1, e: 2, n: 2}. Give prob of sequence enin.
1/30
Four letters picked without replacement from ylyklksllwlykywllll. Give prob of sequence klwl.
3/646
Calculate prob of sequence ida when three letters picked without replacement from ddbadaiabdaadiiiaa.
35/1224
Two letters picked without replacement from qxqtqqxqm. What is prob of sequence xm?
1/36
What is prob of sequence bqbw when four letters picked without replacement from {w: 1, m: 1, q: 6, b: 6, f: 3, h: 1}?
1/408
What is prob of sequence tmz when three letters picked without replacement from {z: 2, m: 5, t:
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0 + 1/24*t**4. Factor n(l).
l**2*(l + 1)/2
Suppose -5*q = -3*b - 16, 3*b + 10 = 4. Suppose -n = 3*h - 7, -4*n = 3*h - 7*h - 12. Factor -6*u**2 + n*u + 0*u**3 - u**q - 3*u**3 - 6*u.
-u*(u + 2)*(3*u + 1)
Let a(r) be the first derivative of r**3 - 3*r**2/2 + 6. Solve a(i) = 0 for i.
0, 1
Let b(g) be the second derivative of -g**4/12 - g**3/6 + g**2/2 - g. Let x(h) = -8*h**2 - 5*h + 7. Let y(o) = 14*b(o) - 2*x(o). Suppose y(i) = 0. What is i?
0, 2
Let b be 0/((-3)/((-12)/(-8))). Factor -2/5*v**2 + 2/5*v**3 + 0*v - 2/5*v**5 + b + 2/5*v**4.
-2*v**2*(v - 1)**2*(v + 1)/5
Let j(x) = x**5 + x**4 + x**3 - x - 1. Let z = 3 + -2. Let s(w) = -5*w**5 - 9*w**4 - 4*w**3 + 2*w**2 + 3*w + 7. Let o(a) = z*s(a) + 6*j(a). Factor o(v).
(v - 1)**4*(v + 1)
Let y(s) be the second derivative of -s**10/75600 - s**9/18900 - s**8/16800 + s**4/4 - 6*s. Let b(z) be the third derivative of y(z). Factor b(c).
-2*c**3*(c + 1)**2/5
Let z(y) be the third derivative of y**7/105 - y**6/20 + y**5/30 + y**4/4 - 2*y**3/3 - y**2. Let z(c) = 0. Calculate c.
-1, 1, 2
Let p be 3 - (1 - -1)/(40/55). Solve 1/4*l**2 - p*l**3 + 1/4*l - 1/4 = 0.
-1, 1
Let w = 53/111 + 7/37. Determine t so that w*t**2 + 0*t - 2/3 = 0.
-1, 1
Let r(y) be the third derivative of y**5/30 - 3*y**4/4 + 8*y**3/3 + y**2 + 3*y. Find j such that r(j) = 0.
1, 8
Suppose -5*u + 3*c = -12, 2*u + 5*c = 7*c + 8. Let d = -31 + 63/2. Solve -1/2*t**5 + 0*t**2 + 0*t**4 + u - d*t + t**3 = 0 for t.
-1, 0, 1
Let y(j) be the third derivative of 1/510*j**5 - 1/102*j**4 + 1/51*j**3 + 0*j + 0 - 2*j**2. Determine u so that y(u) = 0.
1
Let p(t) be the first derivative of 2*t**3/23 - 8*t**2/23 - 6*t/23 - 21. Factor p(a).
2*(a - 3)*(3*a + 1)/23
Let c = -1 - -3. Factor 7*y + 8 - 3*y - 2*y + c*y**2 + 6*y.
2*(y + 2)**2
Let t be 2*(0 + (-7)/(-35)). Suppose -4/5 - 6/5*a - t*a**2 = 0. What is a?
-2, -1
Let j be (-3)/6 + 20/8. Find g, given that -2*g**j - 4*g + 22 - 22 = 0.
-2, 0
Suppose -l - 25 = -6*l. Suppose 3*b = 2*z + 4 + 2, -b + 3*z - l = 0. Suppose 0*h**4 + 2*h**2 + 2*h**b - 4*h**2 = 0. What is h?
-1, 0, 1
Let z(b) = b**2 + 6. Let s(m) = -4 - 2 + 2 - 2*m**2 + m**2. Let x(o) = -7*s(o) - 5*z(o). Factor x(k).
2*(k - 1)*(k + 1)
Let f be 8/(-52) - 28/(-13). Factor 4*b - 8*b**2 - 3*b + f*b**3 + 7*b.
2*b*(b - 2)**2
Let x(k) be the third derivative of k**7/105 + k**6/240 - k**5/10 - 11*k**4/48 - k**3/6 + 22*k**2. Find s such that x(s) = 0.
-1, -1/4, 2
Let w(z) be the second derivative of 1/15*z**6 + 0*z**2 + 1/6*z**4 - z + 0*z**3 + 0 + 1/5*z**5. Factor w(x).
2*x**2*(x + 1)**2
Factor -5*f**4 + 17*f**2 - 2 - 7*f**2 + 5*f**3 + 2.
-5*f**2*(f - 2)*(f + 1)
Let i(f) be the first derivative of f**4/10 - 4*f**3/15 - f**2/5 + 4*f/5 + 22. Find m, given that i(m) = 0.
-1, 1, 2
Suppose 0 = 619*o - 616*o. Suppose 1/4*z**2 - 1/4 + o*z = 0. Calculate z.
-1, 1
Suppose 3*s + 6 = 6*s. Factor -1/3*v**s - 1/3 - 2/3*v.
-(v + 1)**2/3
Let v(m) be the first derivative of m**2 + 1/2*m**6 - 11/5*m**5 + 0*m + 2 + 15/4*m**4 - 3*m**3. Factor v(t).
t*(t - 1)**3*(3*t - 2)
Let k be (9 - 6) + 306/(-4). Let r = 75 + k. Determine a, given that 3/2*a**2 + 1/2*a + r*a**3 + 1/2*a**4 + 0 = 0.
-1, 0
Determine v, given that -3*v + 0*v**2 - 4*v**3 + 3*v - 4*v**2 = 0.
-1, 0
Factor 60/7 - 18/7*u**2 - 78/7*u.
-6*(u + 5)*(3*u - 2)/7
Let q be (3 + -11 - 0) + 1. Let g = q - -7. Let 2/5*x - 4/5*x**2 + g + 2/5*x**3 = 0. What is x?
0, 1
Let h be -3 + 69/21 - (-128)/42. Find w, given that -2/3*w + 0 + h*w**2 - 8/3*w**3 = 0.
0, 1/4, 1
Let c = 239/1050 + -16/75. Let y(k) be the third derivative of -3*k**2 + 0*k + 1/4*k**4 + 0*k**5 - c*k**7 + 1/2*k**3 - 1/20*k**6 + 0. Factor y(g).
-3*(g - 1)*(g + 1)**3
Let p be 4/(-3) - 48/(-27). Solve -2/9*h**2 - 2/9 - p*h = 0.
-1
Let x be ((-2)/5)/((-22)/10) + 0. What is p in -x*p**2 + 6/11*p + 0 = 0?
0, 3
Let x = 33 - 28. Let h(a) be the first derivative of 0*a + 0*a**2 + 0*a**4 - 2/35*a**x + 1 + 0*a**3 + 1/21*a**6. Let h(v) = 0. Calculate v.
0, 1
Suppose -3*h = -h - 5*i - 9, 5*h = 5*i + 15. Suppose v = -2*k + 5, -k = -v - h*v + 8. Find a such that -2/11*a**4 + 2/11*a**2 + 2/11*a**v - 2/11*a + 0 = 0.
-1, 0, 1
Factor -2*h**3 + 0*h**2 + 0*h + 0 + 1/3*h**5 + 1/3*h**4.
h**3*(h - 2)*(h + 3)/3
Let o(z) = 12*z - 12. Let p(i) be the first derivative of -i**3/3 - 5. Let f(r) = o(r) + 3*p(r). Let f(n) = 0. What is n?
2
Suppose -1/2*b**4 - 5/4*b + b**2 + 5/2*b**3 - 1/2 - 5/4*b**5 = 0. Calculate b.
-1, -2/5, 1
Let j(o) be the second derivative of o**7/588 + o**6/180 + o**5/210 + o**3/3 + 4*o. Let a(v) be the second derivative of j(v). Factor a(i).
2*i*(i + 1)*(5*i + 2)/7
Suppose -2*z - z - 9 = 0. Let r be 4/(-6) + (-14)/z. Solve 2*a**3 - 4*a**3 - 6*a**3 + a**4 + a**r + 8*a**2 = 0 for a.
0, 2
Factor 8/5 + 4*s + 16/5*s**2 + 4/5*s**3.
4*(s + 1)**2*(s + 2)/5
Let n(y) be the third derivative of y**8/4200 - y**7/2100 + y**3/6 - 3*y**2. Let v(d) be the first derivative of n(d). Factor v(a).
2*a**3*(a - 1)/5
Let y(n) be the second derivative of -7*n**4/16 - 5*n**3/8 + 3*n**2/4 + n. Determine f so that y(f) = 0.
-1, 2/7
Find h such that 2*h - 16/3*h**2 - 44/3*h**3 - 10/3*h**5 - 12*h**4 + 4/3 = 0.
-1, 2/5
Let j(a) be the first derivative of a**5/300 - a**4/30 + 2*a**3/15 + 3*a**2/2 + 1. Let w(r) be the second derivative of j(r). Let w(v) = 0. Calculate v.
2
Let u(p) = 33*p**4 - 39*p**3 - 3*p**2 + 9. Let t(g) = -16*g**4 + 19*g**3 + g**2 - 4. Let l(r) = -9*t(r) - 4*u(r). Let l(a) = 0. Calculate a.
0, 1/4, 1
Let f be 0/(-1)*((-11)/(-3) + -4). Determine m, given that 0 - 2/5*m**3 + f*m**2 + 2/5*m = 0.
-1, 0, 1
Find h such that 0 + 33/4*h**2 + 9/2*h = 0.
-6/11, 0
Let o(y) be the second derivative of 5*y**4/12 - 25*y**3/6 - 15*y**2 - 16*y. Factor o(f).
5*(f - 6)*(f + 1)
Let v = -18 - -5. Let l = 15 + v. Factor 0 + 1/3*u + 1/3*u**l.
u*(u + 1)/3
Let n be 17 - 14 - (-10)/(-12). Let z = n + -131/66. Find v such that -z*v + 0 - 2/11*v**2 = 0.
-1, 0
Let q(c) be the second derivative of 0 - 1/60*c**6 - 1/24*c**3 + 0*c**5 + 1/24*c**4 + 0*c**2 + 6*c + 1/168*c**7. Factor q(z).
z*(z - 1)**3*(z + 1)/4
Let g = 30 + -27. Solve -16/5*k**4 + 0 - 2/5*k**2 + 0*k + 7/5*k**5 + 11/5*k**g = 0 for k.
0, 2/7, 1
Let g(n) be the third derivative of -n**6/540 + n**5/270 + n**4/54 - 17*n**2. Let g(f) = 0. Calculate f.
-1, 0, 2
Suppose -15*g**2 + 15*g**3 + 3/2*g**5 + 15/2*g - 15/2*g**4 - 3/2 = 0. Calculate g.
1
Let j(z) be the second derivative of -z**6/40 - z**5/40 + z**4/16 + z**3/12 - 6*z. Factor j(l).
-l*(l - 1)*(l + 1)*(3*l + 2)/4
Let 2/11*a + 14/11 - 14/11*a**2 - 2/11*a**3 = 0. Calculate a.
-7, -1, 1
Let a = -4 - -8. Let c be -3 - 0 - (-13)/a. Let -1/2 + 1/4*s + c*s**2 = 0. Calculate s.
-2, 1
Let n(h) be the first derivative of 1/16*h**4 - 1/8*h**2 + 1/12*h**3 - 1/4*h + 1. Factor n(u).
(u - 1)*(u + 1)**2/4
Let u be 24/(-801)*306/(-15). Let w = u - 1/89. Find r, given that -w*r + 3/5*r**2 + 1/5 - 1/5*r**3 = 0.
1
Let n be (-4)/78*(-122)/4. Let g = n + -3/13. Find u, given that 1/3*u**2 + 4/3*u + g = 0.
-2
Let i(y) = -8 - 4*y - 4*y - 9*y**2 - 2*y - 1 + 10*y**3. Let u(c) = c**3 - c**2 - c - 1. Let d(x) = -2*i(x) + 18*u(x). Factor d(l).
-2*l*(l - 1)*(l + 1)
Let f(q) be the first derivative of 6/5*q**5 + 5 - 3/2*q**4 - 1/3*q**6 + 0*q + 0*q**2 + 2/3*q**3. Factor f(k).
-2*k**2*(k - 1)**3
Let o = 41 + -38. Let g(c) be the second derivative of -1/6*c**4 + 0 + 1/3*c**o + 2*c**2 + c. Let g(d) = 0. What is d?
-1, 2
Let b(l) be the second derivative of l**7/10080 - l**5/480 - l**4/6 - 3*l. Let v(f) be the third derivative of b(f). Factor v(s).
(s - 1)*(s + 1)/4
Suppose -4*r = -5*w - 7, 5*r - 52*w + 50*w - 13 = 0. Determine b so that -3/4*b**4 - 1/4*b**5 - 3/4*b**r - 1/4*b**2 + 0*b + 0 = 0.
-1, 0
Factor 1817*x**4 + 12*x - 3*x**3 - 1814*x**4 - 7*x**2 - 5*x**2.
3*x*(x - 2)*(x - 1)*(x + 2)
Let b(m) be the second derivative of 0 - 1/110*m**5 - 8/33*m**3 - 5/66*m**4 + 2*m - 4/11*m**2. Determine h so that b(h) = 0.
-2, -1
Factor -6*s**2 + s**3 - s**5 - 3*s**2 + 9*s**2.
-s**3*(s - 1)*(s + 1)
Let s be (4/(-4))/(3/(-15)). Let m(g) be the first derivative of -3/8*g**4 + 0*g**2 + 1/6*g**3 + 0*g - 1/12*g**6 + 3/10*g**s + 2. Factor m(c).
-c**2*(c - 1)**3/2
Let r(p) = 3*p**2 + p - 2. Let q be r(1). Let v(w) be the first derivative of 1/2*w**3 + 3/4*w**q + 1/8*w**4 - 2 + 1/2*w. Factor v(m).
(m + 1)**3/2
Factor 6*p**2 - 3*p**4 - 48 + 4*p + 4
|
{
"pile_set_name": "DM Mathematics"
}
|
et f(g) = -g**3 + 47*g**2 - 10*g + 385. Give f(47).
-85
Let k(i) = i**3 - 35*i**2 + 298*i - 15. Calculate k(16).
-111
Let h(f) = 3*f**2 + 455*f + 2263. Calculate h(-5).
63
Let m(s) = 2*s**3 - 57*s**2 - 21*s - 180. Determine m(29).
52
Let d(k) = 8*k**2 - 63*k + 469. Calculate d(9).
550
Let l(o) = o**3 + 30*o**2 + 2*o + 208. Give l(-30).
148
Let w(s) = 23*s - 1622. What is w(69)?
-35
Let m(g) = -82*g - 847. Determine m(-22).
957
Let d(q) = -3*q**3 + 20*q**2 - 13*q + 15. Determine d(6).
9
Let n(p) = p**3 + 26*p**2 - 19*p + 211. What is n(-27)?
-5
Let p(o) = o**3 + 21*o**2 + 6*o - 301. Determine p(-20).
-21
Let q(u) = -u**3 + 33*u**2 - 124*u + 1041. Determine q(30).
21
Let c(j) = -496*j + 1140. Calculate c(3).
-348
Let d(g) = 81*g**2 - 7*g - 1. Determine d(1).
73
Let i(u) = -u**3 - 74*u**2 + 231*u + 362. What is i(-77)?
362
Let u(c) = -2*c**3 + 2*c**2 + 3*c + 13. What is u(-4)?
161
Let h(k) = k**3 - 10*k**2 - 3*k - 81. Determine h(7).
-249
Let j(u) = u**2 - 1273*u - 8976. Determine j(-7).
-16
Let f(y) = 94*y - 1138. Determine f(11).
-104
Let w(r) = 4*r**2 - 174*r + 535. Determine w(40).
-25
Let q(x) = x**3 + 18*x**2 + 34*x - 459. Determine q(-10).
1
Let a(n) = 2*n**3 + 16*n**2 + n + 17. What is a(-8)?
9
Let t(l) = 33*l - 2579. Determine t(72).
-203
Let n(m) = m**2 - 71*m + 695. Give n(12).
-13
Let d(a) = 816*a - 49793. Give d(61).
-17
Let k(m) = -36*m - 1032. Calculate k(-15).
-492
Let l(r) = -r**3 + 14*r**2 + 49*r + 193. Give l(18).
-221
Let y(k) = 578*k + 1164. Calculate y(-2).
8
Let q(r) = -16*r - 350. Determine q(-41).
306
Let d(p) = -21*p - 15. Give d(-3).
48
Let p(f) = -2*f**2 - 48*f - 84. Calculate p(-21).
42
Let m(c) = -c**3 - 21*c**2 + 49*c + 38. Give m(-23).
-31
Let z(o) = -11*o**2 - 3*o - 6. What is z(3)?
-114
Let k(v) = -v**3 + 66*v**2 - 99*v - 1817. What is k(64)?
39
Let k(z) = -3*z**3 - 5*z**2 - 46*z - 42. What is k(-1)?
2
Let s(k) = -27*k - 119. Determine s(6).
-281
Let x(t) = -t**2 + 38*t - 61. Give x(32).
131
Let k(y) = 2*y**3 - 7*y**2 - 14*y + 24. Give k(4).
-16
Let g(p) = 205*p - 813. What is g(4)?
7
Let g(d) = 1819*d - 3638. Determine g(2).
0
Let k(j) = 7*j**3 + 4*j**2 - 6*j - 2. Determine k(-2).
-30
Let r(c) = -c**2 - 57*c - 721. What is r(-38)?
1
Let y(k) = 90*k + 723. Calculate y(-8).
3
Let v(z) = -z**2 - 17*z - 29. What is v(-16)?
-13
Let s(a) = 6*a**2 + 175*a + 72. Calculate s(-29).
43
Let i(t) = 260*t + 540. Give i(-2).
20
Let h(j) = -15*j**2 + 60*j - 48. What is h(3)?
-3
Let g(u) = 13*u + 324. What is g(-25)?
-1
Let v(s) = -s**2 + 7*s + 9. Calculate v(12).
-51
Let x(k) = 13*k - 76. Give x(42).
470
Let h(j) = -335*j + 3323. What is h(10)?
-27
Let m(o) = 891*o + 36529. What is m(-41)?
-2
Let z(s) = s**2 + 47*s + 203. Give z(-35).
-217
Let s(k) = -12*k**3 - 183*k**2 - 44*k + 24. Give s(-15).
9
Let p(w) = -29*w + 63. Give p(5).
-82
Let q(m) = 8*m**3 - 10*m**2 + 13*m. What is q(2)?
50
Let n(b) = -b**3 - 12*b**2 - 36*b + 16. What is n(-8)?
48
Let y(q) = 110*q - 220. Calculate y(2).
0
Let p(z) = -z**3 - 9*z**2 + 157*z + 1474. Determine p(-11).
-11
Let h(w) = -w**2 - 610*w - 2426. Give h(-4).
-2
Let k(d) = 17*d**2 - 137*d + 571. Calculate k(4).
295
Let g(w) = w**3 - 13*w**2 + 29*w - 1. What is g(12)?
203
Let c(d) = 4*d + 231. Calculate c(-9).
195
Let a(u) = -u**2 - 23*u - 136. Calculate a(-11).
-4
Let i(h) = 11*h**2 + 5*h - 22. Give i(4).
174
Let u(j) = -65*j + 2463. Calculate u(38).
-7
Let d(v) = 4*v**3 - 2*v**2 + 9*v + 2. What is d(-4)?
-322
Let f(c) = -1832*c + 23801. Calculate f(13).
-15
Let s(q) = 20*q + 141. Give s(-8).
-19
Let n(u) = 601*u + 12. Determine n(-1).
-589
Let u(b) = -2*b**2 + 45*b + 262. Determine u(-5).
-13
Let k(w) = -259*w - 505. Calculate k(-2).
13
Let m(u) = -u**3 - 14*u**2 + 363*u + 4584. What is m(-12)?
-60
Let q(j) = -2*j**2 + 80*j + 147. Determine q(43).
-111
Let r(y) = -1027*y**3 - 2*y**2 + 10*y - 7. Give r(1).
-1026
Let t(d) = -d**3 + 7*d**2 + d - 25. Calculate t(4).
27
Let s(a) = 54*a + 84. What is s(-2)?
-24
Let u(f) = 362*f + 19. What is u(0)?
19
Let i(y) = -2*y**3 - 7*y**2 - 13*y + 134. What is i(-7)?
568
Let z(r) = -56*r + 343. Give z(-1).
399
Let k(t) = -t**3 - 7*t**2 + 6*t - 40. What is k(-10)?
200
Let a(s) = -3*s**3 - 33*s**2 - 63*s - 328. Calculate a(-10).
2
Let z(b) = 9*b**3 + 1436*b**2 + 798*b + 476. Calculate z(-159).
-1
Let h(j) = -9*j - 37. Give h(-4).
-1
Let h(p) = 2*p**2 - 61*p - 20. Give h(26).
-254
Let c(p) = -3*p**2 + 4*p + 6. Calculate c(-3).
-33
Let c(m) = -11*m**3 - m**2 + m + 6. Calculate c(-2).
88
Let l(u) = 15*u**2 - 215*u + 74. Give l(14).
4
Let o(f) = 2*f**3 - 26*f**2 + 9*f - 127. Give o(15).
908
Let x(s) = 6*s**3 + 590*s**2 + 188*s - 782. Calculate x(-98).
2
Let f(h) = -h**2 - 55*h - 480. Give f(-44).
4
Let z(n) = 2*n**2 - 50*n - 14. What is z(27)?
94
Let q(h) = h**3 + 9*h**2 - 22*h + 39. Determine q(-11).
39
Let m(i) = 5*i**2 - 36*i + 116. What is m(3)?
53
Let l(o) = -3540*o - 14. Give l(0).
-14
Let w(x) = 15*x - 178. Calculate w(7).
-73
Let b(j) = 195*j**2 - 384*j - 12. Determine b(2).
0
Let t(w) = -5*w**2 + 24*w - 91. What is t(6)?
-127
Let l(u) = -2*u**3 - 5*u**2 + 11*u - 16. What is l(5)?
-336
Let c(f) = 26*f + 4. Give c(-3).
-74
Let v(w) = -3*w**3 - 6*w**2 - 17*w - 5. Determine v(-3).
73
Let c(s) = -3*s**3 + 209*s**2 - 137*s - 97. Determine c(69).
-28
Let i(n) = -110*n - 296. Calculate i(-6).
364
Let q(h) = 5*h - 9. Calculate q(-6).
-39
Let d(m) = -3*m**3 - 10*m**2 + 30*m + 17. Determine d(4).
-215
Let a(d) = 1174*d + 19954. Give a(-17).
-4
Let s(d) = -184*d + 2563. Determine s(14).
-13
Let w(g) = 2*g**2 - 51*g + 35. Give w(25).
10
Let j(f) = 32*f - 1974. Determine j(62).
10
Let g(l) = -8*l**3 - l**2 - 237*l - 236. Give g(-1).
8
Let a(c) = -c**3 - 31*c**2 + 2*c + 56. Calculate a(-31).
-6
Let s(w) = 10*w - 110. Give s(3).
-80
Let f(x) = -35*x - 1676. Give f(-48).
4
Let a(p) = -2*p**3 + 4*p**2 - 2*p. What is a(4)?
-72
Let g(a) = a**3 - 27*a**2 + 140*a + 7. Calculate g(7).
7
Let v(u) = u**2 - 41*u - 5. Calculate v(39).
-83
Let b(c) = 2*c - 22. What is b(-44)?
-110
Let b(h) = h**3 - 48*h**2 - 97*h + 44. What is b(50)?
194
Let k(z) = z**2 + z - 121. Give k(0).
-121
Let j(n) = -n**2 + 128*n - 1424. Calculate j(12).
-32
Let g(l) = -l**2 - 58*l + 1756. Determine g(22).
-4
Let o(u) = 15*u + 1291. Give o(-84).
31
Let c(q) = 55*q + 221. Determine c(-4).
1
Let l(q) = -q**3 + 7*q**2 - 7*q + 23. Calculate l(6).
17
Let l(u) = -u**3 - 4*u**2 + 8*u + 97. What is l(0)?
97
Let n(x) = 3*x**3 - 2*x**2 - 8*x + 8. Determine n(1).
1
Let v(j) = -101*j**2 - 3335*j - 71. Determine v(-33).
-5
Let i(q) = q**2 + 83*q + 991. Determine i(-15).
-29
Let l(b) = b**2 + 70*b + 871. Calculate l(-18).
-65
Let b(n) = 25*n - 157. Determine b(5).
-32
Let z(t) = -t**2 - 7*t - 16. What is z(-5)?
-6
Let o(f) = 960*f + 3900. Determine o(-4).
60
Let m(k) = 4*k**2 + 133*k + 76. Calculate m(-31).
-203
Let z(o) = -437*o + 6087. Determine z(14).
-31
Let g(w) = -9*w**2 - 129*w + 95. Give g(-15).
5
Let b(m) = 2*m**3 - 2*m**2 - 134*m - 8. What is b(0)?
-8
Let u(t) = 5*t**3 + 194*t**2 - 8*t + 1203. Give u(-39).
-6
Let a(j) = j**3 + 8*j**2 - 18*j + 24. What is a(-10)?
4
Let z(d) = 192*d**3 - 3*d**2 - 8*d - 6. Calculate z(-1).
-193
Let q(s) = -7*s**2 - 8*s + 168. Give q(8).
-344
Let v(k) = -k**2 + 90*k + 782. Give v(-8).
-2
Let r(l) = l**3 + 11*l**2 - 122. Give r(-15).
-1022
Let a(p) = -414*p + 2928. Determine a(7).
30
Let o(f) = f**3 + 145*f**2 + 553*f - 41. Calculate o(-4).
3
Let a(d) = -d**3 + 9*d**2 + 12*d - 102. Calculate a(8).
58
Let b(g) = 5*g**3 - 9*g**2 + 16*g - 5. Calculate b(2).
31
Let g(i) = -2*i**3 - 32*i**2 - 9*i - 24. Calculate g(-15).
-339
Let n(l) = -12*l + 508. Give n(42).
4
Let d(p) = -4*p**3 + 36*p**2 - 14. Give d(9).
-14
Let r(o) = -99*o + 1526. Determine r(14).
140
Let f(j) = j**2 + 10754*j + 85962. Calculate f(-8).
-6
Let b(q) = -4*q**3 + 21*q**2 - 55*q - 10. What is b(3)?
-94
Let g(u) = 2*u**3 - 42*u**2 + 26*u + 361. Determine g(20).
81
Let r(l) = -12*l**2 - l - 31. What is r(5)?
-336
Let m(q) = -q**3 + 93*q**2 - 678*q - 35. Determine m(85).
135
Let m(b) = -b**2 - 70*b - 1168. Determine m(-43).
-7
Let u(g) = -2*g**3 + 77*g**2 - 242*g - 84. Determine u(35).
21
Let p(i) = -646*i - 45. What is p(0)?
-45
Let z(n) = 10*n**3 - 31*n**2 - 30*n - 1. Calculate z(-1).
-12
Let k(z) = z**3 - 124*z**2 + 48*
|
{
"pile_set_name": "DM Mathematics"
}
|
) - -4*sqrt(84)*2))/(sqrt(300) - (-1*sqrt(300) + sqrt(300))))**2 + (-4*(sqrt(252) + 0 + -2*sqrt(7)*2))**2.
477
Simplify (5*(sqrt(80)*1 + 4) + -1 - (-5 + sqrt(180)*-2 - (sqrt(180) + 1 + -3)))**2.
1672*sqrt(5) + 7704
Simplify (-2 + 0 + -3*(-2 + ((-2 + sqrt(245))*1 - -1*(-2 + sqrt(245)))))**2.
-1344*sqrt(5) + 9076
Simplify (4*-2*-2*sqrt(28) - (-6*sqrt(84)*-2)/(sqrt(1452)*1))**2 + -1.
809079/121
Simplify (4*(-5 + sqrt(19) + (1*sqrt(76))**2) - ((-4*2*sqrt(228))/(sqrt(48) + sqrt(48) + sqrt(48) + sqrt(144)/sqrt(3)))**2)*4.
16*sqrt(19) + 1060
Simplify -1 + ((sqrt(68) + 1 + sqrt(68) + -4)*4)**2 - (sqrt(136) - (sqrt(136) + 3*-2*sqrt(136)))/(-2*sqrt(968) + sqrt(8)).
-2686*sqrt(17)/7 + 4495
Simplify (-1 + 2 + -4*(-3 + sqrt(500))*2 + (6*(2*sqrt(500) + sqrt(500)) - sqrt(500) - (sqrt(500) + 1 + sqrt(500))*3))**2.
1320*sqrt(5) + 4984
Simplify (sqrt(343) + (sqrt(343) + 1)*-5 + sqrt(28) + sqrt(7) + -2 + -2 + (sqrt(700)*1 + -3 - 1*-3*sqrt(700)))**2.
-360*sqrt(7) + 1719
Simplify 4 + ((sqrt(891) + -2*sqrt(891) - sqrt(891))*1*-1)**2 + 1*(sqrt(891) - (sqrt(891) + 2)*-3)**2*-3.
-39308 - 1296*sqrt(11)
Simplify (6*(sqrt(1408) + -1*sqrt(1408) + sqrt(1408) + sqrt(1408)))/(sqrt(4)/sqrt(2)*-4 - sqrt(2) - sqrt(10)/(sqrt(25)/sqrt(5))).
-16*sqrt(11)
Simplify (((sqrt(204) + (sqrt(204) - sqrt(204)*1))*4 - 6*(sqrt(204)*1 - sqrt(204)))*-4)/((-4*(sqrt(192) + 2*sqrt(192)) - sqrt(192))*-1).
-4*sqrt(17)/13
Simplify ((-6*-1*sqrt(171)*1)**2 - ((sqrt(209)*-2 + sqrt(209))*-5)/(5*(sqrt(11) - (sqrt(11) - (sqrt(11) - (sqrt(11) + sqrt(33)/sqrt(3))))))) + -4.
sqrt(19) + 6152
Simplify ((2*(sqrt(544) + sqrt(544) + -6*sqrt(544)*2 + sqrt(544)))/(-3*(sqrt(242)*-2 - (sqrt(72)/sqrt(4))/sqrt(9))))**2.
9792/529
Simplify (5 + -4 + ((sqrt(250)/(sqrt(5) - 2*sqrt(5)))**2 + ((sqrt(150)/(sqrt(6)/sqrt(2)))**2 - sqrt(50)))*1 + -3)*6.
-30*sqrt(2) + 588
Simplify (3*-1*sqrt(140)/sqrt(112))/(sqrt(360)*6 + -6*(sqrt(10) - sqrt(20)/sqrt(2))).
-sqrt(2)/48
Simplify 5*(5 + (sqrt(306) + sqrt(34))/sqrt(2)*-4 - (2*sqrt(272) + (sqrt(17) - -5*sqrt(425)) + sqrt(17))*-4)**2.
6200*sqrt(17) + 1307085
Simplify (3*(6*(sqrt(891) + -1 + sqrt(891)) + -2) + 1*-6*(-1 + sqrt(891))*-5 + -3)**2.
-67716*sqrt(11) + 3884445
Simplify 2 + 1*((sqrt(60) - -2*sqrt(60))*-1)/(-4*(sqrt(12) + sqrt(108))) + 2.
3*sqrt(5)/16 + 4
Simplify (-1*sqrt(160) - (sqrt(1440) + sqrt(1440)*-1 + sqrt(1440)))/(-3*(5*sqrt(288) + sqrt(288) - sqrt(288))).
4*sqrt(5)/45
Simplify (-2*sqrt(12)/((sqrt(60) - sqrt(180)/sqrt(3) - sqrt(60))/sqrt(10))*5 + (sqrt(54) + sqrt(6))/sqrt(3) + sqrt(2) + 1 + sqrt(98) + -1 + 4)**2.
176*sqrt(2) + 984
Simplify -5*(sqrt(96)/(sqrt(12)/sqrt(2)) - 1*sqrt(1936))/(((sqrt(88) - sqrt(88)*-1)*-2)/sqrt(11)) + 0.
-25*sqrt(2)/2
Simplify (sqrt(96)*-3)/(sqrt(24)/sqrt(50)) - ((sqrt(48) + 3*sqrt(48))/sqrt(4))/(sqrt(18)/(3*sqrt(3))).
-42*sqrt(2)
Simplify ((((sqrt(720)*2 - sqrt(720))*4 - sqrt(720))*-5)/(((sqrt(72) + (sqrt(72)*3 - sqrt(72)))*-3 + sqrt(72))/(2*sqrt(968))))**2.
136125
Simplify ((sqrt(99) + -1*sqrt(99))/sqrt(9) + (-1*sqrt(11)*-6)**2 + (sqrt(132)/(4*sqrt(12)) - (5 + sqrt(99)/sqrt(9)))**2)*5.
75*sqrt(11)/2 + 34175/16
Simplify 2 + sqrt(7) + 0 + 0 + 3 + ((sqrt(168)*1)/sqrt(8) - sqrt(21))/(sqrt(3) - sqrt(192)).
sqrt(7) + 5
Simplify (sqrt(1573)*-2 - sqrt(13)) + 3 + (sqrt(78)/sqrt(6))**2 - (0 + sqrt(1872)*-1 + -1).
-11*sqrt(13) + 17
Simplify (sqrt(96)/(sqrt(2)*2)*3)/(((sqrt(320) - sqrt(320)*-2) + sqrt(20))/(sqrt(55)/(sqrt(22)/sqrt(2)))).
3*sqrt(3)/13
Simplify ((-1 + sqrt(8) + sqrt(2) - sqrt(200))*-3 + (2 + -2*sqrt(98))*1)*-5.
-35*sqrt(2) - 25
Simplify ((sqrt(4719) + sqrt(4719) + sqrt(4719)*3)*-1)/(sqrt(33)/(sqrt(99)/sqrt(36)))*3.
-165*sqrt(13)/2
Simplify (-2*(-5 + (sqrt(468) + -2*-1*sqrt(468) + sqrt(468) + sqrt(468) - (sqrt(468) - ((sqrt(468) + 2)*1 + sqrt(468)))))*-5 + -2)**2.
-23040*sqrt(13) + 1685824
Simplify ((3*sqrt(209))/sqrt(11))**2 - (-5 + sqrt(95)/sqrt(5))**2 - (3 + sqrt(114)/sqrt(6) + sqrt(1539)*-5)**2.
-36666 + 274*sqrt(19)
Simplify 3 + -3*(4*1*2*sqrt(13) - ((sqrt(78)*-2)/sqrt(6) + (sqrt(1573) - -2*sqrt(1573)) + sqrt(1573)))**2 + -4.
-45085
Simplify (3*(sqrt(3) + -2 + -2 - sqrt(3)) + -3 - (5 + (sqrt(363)*-2 - sqrt(363))*2))**2*2.
-5280*sqrt(3) + 26936
Simplify ((((sqrt(120) - (sqrt(120) + sqrt(120) + sqrt(120)*-1))*-3)/(-1*sqrt(8)*2))/(2*(sqrt(21) + (sqrt(2100)*-2 - sqrt(21)))/sqrt(7)))**2.
0
Simplify (2*sqrt(475) - (2*sqrt(190))/sqrt(10)) + -5 + sqrt(19) + 1 + (sqrt(19) - (sqrt(2736) - (sqrt(2736) + -1 + sqrt(2736)))**2).
-2741 + 34*sqrt(19)
Simplify sqrt(14)/(sqrt(7) + (sqrt(567)/sqrt(9) - sqrt(7) - sqrt(7))) + -3 + sqrt(2) + 4 + 1 + 0.
2 + 3*sqrt(2)/2
Simplify (1 + (-2*(5 + sqrt(2)) + sqrt(18)/sqrt(9) + -5)*5)*4.
-296 - 20*sqrt(2)
Simplify 4 + (sqrt(1700) - sqrt(17)) - sqrt(187)/(3*sqrt(11) - sqrt(11)) - ((sqrt(68)/(sqrt(576)*-2 + sqrt(576)))**2 + 1).
415/144 + 17*sqrt(17)/2
Simplify (-4*(sqrt(65) + (sqrt(65) + sqrt(65) + sqrt(65)*-1 + sqrt(65) + sqrt(65))*-5)*-6)/((sqrt(360)/(sqrt(12)*1))/sqrt(216)).
-2016*sqrt(13)
Simplify (4 + ((sqrt(660) - (sqrt(660) - 1*sqrt(660))*-3)/sqrt(11))/(sqrt(108)/(sqrt(9) + (-2*sqrt(9) - sqrt(9))) - (sqrt(108)/sqrt(3))/sqrt(3)))*6.
-4*sqrt(5) + 24
Simplify (sqrt(70)*-3*2 - -6*((sqrt(70)*-2 - sqrt(70)) + sqrt(70)))/(sqrt(50)/(sqrt(245)*-5)).
630*sqrt(7)
Simplify (sqrt(32)/(-4*3*sqrt(4)))/(-3*(sqrt(4)*1 + sqrt(4)) - -1*sqrt(100)).
sqrt(2)/12
Simplify (2*(sqrt(572)/(1*sqrt(11))*4 - (sqrt(52) + 1 + sqrt(208) + sqrt(468) + 0 + sqrt(468))))**2.
80*sqrt(13) + 5204
Simplify (-6*(-1*sqrt(180)*5 - sqrt(180))/sqrt(4))/((sqrt(441) - (sqrt(441) + sqrt(441)*1)*-4) + sqrt(441)*2*6).
12*sqrt(5)/49
Simplify -2 + (-4*(sqrt(300) - ((1*sqrt(300) - sqrt(300)) + sqrt(300) + sqrt(300)) - sqrt(300)))/(sqrt(150) + 1*sqrt(150)*-2).
-8*sqrt(2) - 2
Simplify -2*(((sqrt(1377) + 4)**2*4 - sqrt(1377)) + -5 + 2*(sqrt(1377) + sqrt(1377)*5)*6).
-11134 - 1854*sqrt(17)
Simplify ((-5*(sqrt(72) + -2))**2 - (3 + -3*sqrt(72) + sqrt(72))) + ((6*1*sqrt(72))**2 - (-6*2*sqrt(72))**2) + 4.
-5875 - 588*sqrt(2)
Simplify -3 + (-1 + sqrt(2)*-2*4)*6 + ((sqrt(250) + sqrt(250)*1)/(1*sqrt(180)))**2 + -3.
-48*sqrt(2) - 58/9
Simplify (1*(sqrt(88)*2*-6 - (-2*sqrt(88)*-3 - sqrt(88))))/(-1*sqrt(200)*-4*-3).
17*sqrt(11)/60
Simplify (-1*sqrt(605)*6 - sqrt(605) - (sqrt(605) - 4*sqrt(605)*2))*5 + ((2 + -1*sqrt(1620) + sqrt(1620))*3)**2.
36
Simplify (3 + (3 + sqrt(1053)*-2 - (2*sqrt(1053)*-5 + sqrt(1053) - sqrt(1053))))**2 + -1 + 2.
864*sqrt(13) + 67429
Simplify ((-5*(sqrt(200) - (sqrt(200) - sqrt(200)*-2)) + sqrt(200))/(sqrt(30)/sqrt(3)*2))/(2*sqrt(324)/sqrt(144)).
11*sqrt(5)/3
Simplify (6*((-1*(sqrt(126) - 2*sqrt(126)*5))/(-6*(sqrt(2) + (sqrt(2) - sqrt(18) - sqrt(2)))*5) + -5))**2.
-162*sqrt(7) + 95103/100
Simplify ((2*sqrt(95) + sqrt(95))*-3)/(sqrt(245)*2) + -5 + sqrt(19)*-2 + sqrt(19) + 5 + sqrt(19) + 4.
-9*sqrt(19)/14 + 4
Simplify 6*(1*(sqrt(187)/(sqrt(33)/(sqrt(3) - sqrt(9)/sqrt(3) - sqrt(3))) + sqrt(1700) + -6*2*sqrt(1700)))**2.
1256742
Simplify ((3*(sqrt(275) + 0) + 0)*-5 + (sqrt(275) - (sqrt(275) + sqrt(275) + 4*sqrt(275) + 4)) + sqrt(275) + -1 + 1)**2.
760*sqrt(11) + 99291
Simplify 3 + -5*(3 + sqrt(26)/(sqrt(8)/sqrt(4)))**2 + (-6*sqrt(325)*-2 + -1)**2 + -4.
-150*sqrt(13) + 46690
Simplify 0 + -3 + (((4 + sqrt(1900))*4 - sqrt(1900))**2 - sqrt(1900))*3*-3.
-156207 - 8550*sqrt(19)
Simplify (-2*((-3*(sqrt(440)*2 + sqrt(440) - sqrt(440)) - sqrt(440)) + sqrt(440))/sqrt(8))/(-1*sqrt(275)*4*3).
-sqrt(5)/5
Simplify -6*(sqrt(225)*4)/((sqrt(500)*2 - sqrt(500)) + sqrt(500)) - (1*sqrt(605)*2*-2*2)**2.
-38720 - 18*sqrt(5)/5
Simplify 3 + ((sqrt(77) - -1*sqrt(77))/sqrt(7))**2 + -5 + sqrt(176) + sqrt(11) + ((2 + sqrt(99)/(sqrt(36)/sqrt(4)))*5)**2.
105*sqrt(11) + 417
Simplify ((6*(sqrt(336) - 2*sqrt(336)*-2)/sqrt(6))/(4*sqrt(32) - 1*-1*sqrt(8)))**2.
700/9
Simplify (-4*6*(sqrt(77) + -2*sqrt(77))*-6)/(((sqrt(22)*2 + sqrt(22))/sqrt(2) - sqrt(11)) + sqrt(539)*4 + sqrt(539)).
-144*sqrt(7)/37
Simplify 0 + (-5*(1*sqrt(117))**2 + sqrt(1053) + (sqrt(1053) + sqrt(1053) + -1)*6)*-3 + 1.
-351*sqrt(13) + 1774
Simplify -1 + (-5 + (4*2*sqrt(720) + 4 - -3*(sqrt(720) - (sqrt(720) - (1 + sqrt(720)))*-2)) + 1)**2.
-1584*sqrt(5) + 87155
Simplify (-4 + sqrt(891) + 0 + sqrt(891) + 1 + -4*-3*((sqrt(110) - ((sqrt(110) - sqrt(110)*-3 - sqrt(110)) + sqrt(110))) + sqrt(110))/sqrt(10))**2 + 2.
36*sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
36 of a day?
2400
Convert 0.7125037 days to nanoseconds.
61560319680000
Convert 345.4458ml to litres.
0.3454458
How many millilitres are there in 1/4 of a litre?
250
What is 983.7456 micrograms in grams?
0.0009837456
What is 23.6178l in millilitres?
23617.8
What is 25/2 of a century in years?
1250
What is three tenths of a kilometer in meters?
300
What is 968705.2ml in litres?
968.7052
How many centimeters are there in 25/4 of a meter?
625
How many grams are there in 3/8 of a kilogram?
375
What is 1/30 of a minute in milliseconds?
2000
Convert 8425.117 kilometers to nanometers.
8425117000000000
What is 3/10 of a kilometer in meters?
300
What is five eighths of a millennium in years?
625
Convert 0.2497688nm to meters.
0.0000000002497688
How many months are there in seventy-five quarters of a century?
22500
What is 6/25 of a micrometer in nanometers?
240
Convert 0.453993mm to nanometers.
453993
Convert 0.0415558 centuries to years.
4.15558
What is thirteen fifths of a gram in milligrams?
2600
How many years are there in 127.8975 centuries?
12789.75
How many minutes are there in eleven halves of a week?
55440
How many micrometers are there in 51/2 of a millimeter?
25500
What is 1/24 of a decade in months?
5
How many months are there in four fifteenths of a century?
320
How many nanometers are there in twenty-seven halves of a micrometer?
13500
What is 12/25 of a minute in milliseconds?
28800
How many millilitres are there in 980.8034 litres?
980803.4
What is 43.555914 microseconds in hours?
0.000000012098865
What is 15/4 of a tonne in kilograms?
3750
What is four thirds of a decade in months?
160
What is 31/2 of a year in months?
186
How many nanometers are there in 1/5 of a micrometer?
200
How many millilitres are there in 18/5 of a litre?
3600
What is 77/5 of a litre in millilitres?
15400
What is one sixth of a century in months?
200
Convert 80.5913 weeks to milliseconds.
48741618240
How many nanometers are there in 26/5 of a micrometer?
5200
How many centimeters are there in 1/4 of a meter?
25
Convert 67225.43 millimeters to micrometers.
67225430
How many nanometers are there in 76613.65 meters?
76613650000000
What is eighteen fifths of a litre in millilitres?
3600
What is twenty-seven quarters of a meter in centimeters?
675
What is 47.24189 litres in millilitres?
47241.89
Convert 65.01196 millilitres to litres.
0.06501196
What is 6/5 of a century in decades?
12
What is 54962.45 milligrams in nanograms?
54962450000
What is three fifths of a millennium in months?
7200
How many minutes are there in 43/2 of a day?
30960
How many hours are there in 8/3 of a day?
64
What is twenty-six fifths of a litre in millilitres?
5200
How many nanograms are there in 7954.606 kilograms?
7954606000000000
How many milligrams are there in 6.964509ug?
0.006964509
What is 9/10 of a microsecond in nanoseconds?
900
What is 1/20 of a microgram in nanograms?
50
How many grams are there in twenty-five halves of a kilogram?
12500
What is 0.520844t in kilograms?
520.844
What is 7403.007 millennia in years?
7403007
Convert 6728.491 millennia to months.
80741892
How many millennia are there in 67697.63 centuries?
6769.763
Convert 6498.898 litres to millilitres.
6498898
How many years are there in twenty-six fifths of a century?
520
What is 1/10 of a milligram in nanograms?
100000
How many nanograms are there in 91/2 of a microgram?
45500
What is 38272.74um in nanometers?
38272740
What is 12/25 of a litre in millilitres?
480
What is 1.1342 millimeters in centimeters?
0.11342
What is five quarters of a millennium in months?
15000
How many meters are there in 51.10909km?
51109.09
Convert 223630.4 litres to millilitres.
223630400
How many millilitres are there in 3/10 of a litre?
300
Convert 9.656357ml to litres.
0.009656357
What is 7/2 of a year in months?
42
How many kilograms are there in twenty-one eighths of a tonne?
2625
How many millimeters are there in twenty-one eighths of a meter?
2625
What is 3/5 of a millennium in years?
600
How many millilitres are there in fifteen quarters of a litre?
3750
What is ten thirds of a day in hours?
80
How many micrograms are there in 1/64 of a gram?
15625
How many years are there in seven halves of a decade?
35
What is 0.6593894kg in grams?
659.3894
How many micrometers are there in twenty-one halves of a millimeter?
10500
Convert 9.758025 milligrams to grams.
0.009758025
How many nanograms are there in three tenths of a microgram?
300
Convert 0.78447ns to seconds.
0.00000000078447
How many seconds are there in eleven halves of a hour?
19800
How many millimeters are there in six fifths of a meter?
1200
What is seven eighths of a millennium in years?
875
What is 48/5 of a litre in millilitres?
9600
Convert 4.52735mg to nanograms.
4527350
What is 48.90412 litres in millilitres?
48904.12
What is 5305.636nm in micrometers?
5.305636
How many decades are there in 26/5 of a century?
52
Convert 0.9844988km to micrometers.
984498800
Convert 4.835755 millilitres to litres.
0.004835755
How many millilitres are there in seventeen quarters of a litre?
4250
What is 0.7679165ml in litres?
0.0007679165
What is 8.20563 litres in millilitres?
8205.63
What is 2/15 of a decade in months?
16
How many seconds are there in thirteen eighths of a hour?
5850
How many minutes are there in twenty-six sevenths of a week?
37440
How many weeks are there in 4.296957 hours?
0.025577125
What is fourty-nine fifths of a kilometer in meters?
9800
Convert 922398.6 millilitres to litres.
922.3986
How many micrometers are there in eleven eighths of a millimeter?
1375
How many millilitres are there in one tenth of a litre?
100
How many millimeters are there in sixty-seven fifths of a centimeter?
134
What is 3/40 of a meter in millimeters?
75
What is seven eighths of a litre in millilitres?
875
What is 0.7822063 centuries in months?
938.64756
How many grams are there in twenty-nine halves of a kilogram?
14500
Convert 489.417 millilitres to litres.
0.489417
What is 8.68476g in nanograms?
8684760000
Convert 0.328127t to kilograms.
328.127
Convert 22648.22 millilitres to litres.
22.64822
How many micrograms are there in 1/4 of a milligram?
250
How many meters are there in 44/5 of a kilometer?
8800
What is 51/4 of a decade in months?
1530
Convert 8985.785 centuries to years.
898578.5
What is 17/4 of a micrometer in nanometers?
4250
How many centimeters are there in 1/10 of a meter?
10
Convert 73907.37mg to kilograms.
0.07390737
How many microseconds are there in 0.2041938 milliseconds?
204.1938
How many litres are there in 660774.7ml?
660.7747
What is 1/4 of a meter in centimeters?
25
How many nanometers are there in 1/5 of a micrometer?
200
Convert 93138.04 years to decades.
9313.804
What is 1/20 of a micrometer in nanometers?
50
What is 3191.891 litres in millilitres?
3191891
What is 1.530552 years in decades?
0.1530552
Convert 585.64782 nanoseconds to days.
0.00000000000677833125
What is 4.41728cm in millimeters?
44.1728
How many months are there in seven thirds of a year?
28
What is 3/5 of a hour in minutes?
36
What is 17/6 of a year in months?
34
What is thirty-one fifths of a hour in minutes?
372
What is 6/5 of a centimeter in millimeters?
12
Convert 45477.32 years to months.
545727.84
Convert 0.217559kg to tonnes.
0.000217559
How many nanometers are there in 37.13147 millimeters?
37131470
How many millilitres are there in one tenth of a litre?
100
What is 980.8066ug in milligrams?
0.9808066
How many micrometers are there in 911.4412 nanometers?
0.9114412
Convert 7.20969 centimeters to millimeters.
72.0969
What is 7.347874cm in meters?
0.07347874
What is thirty-two fifths of a millennium in months?
76800
How many milligrams are there in 98385.71ug?
98.38571
How many micrograms are there in 4.291871g?
4291871
What is 529.2139 years in millennia?
0.5292139
What is 0.1021508 millennia in decades?
10.21508
What is eighty-seven fifths of a millennium in decades?
1740
How many months are there in 6/5 of a millennium?
14400
What is one quarter of a hour in seconds?
900
What is 0.0023679ms in minutes?
0.000000039465
How many nanograms are there in 410.137 milligrams?
410137000
How many minutes are there in thirteen quarters of a hour?
195
How many milliseconds are there in eleve
|
{
"pile_set_name": "DM Mathematics"
}
|
r when 15040 is divided by 7456?
128
Calculate the remainder when 38816 is divided by 2283.
5
What is the remainder when 249514 is divided by 29?
27
What is the remainder when 31981 is divided by 19?
4
What is the remainder when 245044 is divided by 2475?
19
Calculate the remainder when 134758 is divided by 29.
24
Calculate the remainder when 3462 is divided by 391.
334
What is the remainder when 710 is divided by 78?
8
Calculate the remainder when 119033 is divided by 51.
50
Calculate the remainder when 432080 is divided by 30862.
12
Calculate the remainder when 57492 is divided by 6366.
198
Calculate the remainder when 62157 is divided by 35.
32
What is the remainder when 253 is divided by 35?
8
What is the remainder when 77096 is divided by 163?
160
Calculate the remainder when 23925 is divided by 176.
165
Calculate the remainder when 431 is divided by 28.
11
What is the remainder when 1746 is divided by 454?
384
Calculate the remainder when 4510 is divided by 13.
12
What is the remainder when 114948 is divided by 38312?
12
Calculate the remainder when 192853 is divided by 74.
9
Calculate the remainder when 6976 is divided by 428.
128
What is the remainder when 3346 is divided by 786?
202
What is the remainder when 23356 is divided by 320?
316
What is the remainder when 3085 is divided by 533?
420
Calculate the remainder when 19040 is divided by 6339.
23
What is the remainder when 104174 is divided by 97?
93
Calculate the remainder when 6808 is divided by 2559.
1690
What is the remainder when 60226 is divided by 113?
110
Calculate the remainder when 2314088 is divided by 564.
560
What is the remainder when 1653 is divided by 880?
773
Calculate the remainder when 2559 is divided by 1225.
109
What is the remainder when 56885 is divided by 120?
5
Calculate the remainder when 114069 is divided by 11.
10
Calculate the remainder when 30568 is divided by 27.
4
Calculate the remainder when 56779 is divided by 14189.
23
What is the remainder when 127499 is divided by 1214?
29
What is the remainder when 104175 is divided by 15?
0
Calculate the remainder when 6547 is divided by 25.
22
Calculate the remainder when 242455 is divided by 132.
103
What is the remainder when 694075 is divided by 31?
16
What is the remainder when 55870 is divided by 288?
286
What is the remainder when 781356 is divided by 127?
52
What is the remainder when 184547 is divided by 20504?
11
What is the remainder when 181505 is divided by 17?
13
Calculate the remainder when 13000 is divided by 1435.
85
What is the remainder when 9207 is divided by 144?
135
What is the remainder when 194409 is divided by 24?
9
Calculate the remainder when 1455 is divided by 1331.
124
What is the remainder when 59314 is divided by 168?
10
Calculate the remainder when 33678 is divided by 16835.
8
Calculate the remainder when 1084 is divided by 23.
3
What is the remainder when 4698 is divided by 668?
22
Calculate the remainder when 2833 is divided by 53.
24
What is the remainder when 8585 is divided by 21?
17
Calculate the remainder when 5176 is divided by 730.
66
What is the remainder when 5631 is divided by 2495?
641
What is the remainder when 68527 is divided by 95?
32
What is the remainder when 36831 is divided by 109?
98
What is the remainder when 518 is divided by 236?
46
What is the remainder when 454782 is divided by 90956?
2
Calculate the remainder when 48246 is divided by 51.
0
Calculate the remainder when 1406 is divided by 1308.
98
Calculate the remainder when 760 is divided by 78.
58
What is the remainder when 39737 is divided by 414?
407
What is the remainder when 3698 is divided by 537?
476
What is the remainder when 22992 is divided by 11494?
4
What is the remainder when 347308 is divided by 125?
58
Calculate the remainder when 1301442 is divided by 203.
9
Calculate the remainder when 160371 is divided by 125.
121
What is the remainder when 9414 is divided by 83?
35
What is the remainder when 185842 is divided by 545?
542
Calculate the remainder when 2295 is divided by 89.
70
What is the remainder when 44249 is divided by 126?
23
What is the remainder when 2336 is divided by 10?
6
Calculate the remainder when 5280 is divided by 282.
204
What is the remainder when 10388 is divided by 2590?
28
What is the remainder when 159168 is divided by 79581?
6
Calculate the remainder when 3758 is divided by 121.
7
What is the remainder when 220388 is divided by 433?
424
What is the remainder when 6482 is divided by 6468?
14
What is the remainder when 3776 is divided by 691?
321
Calculate the remainder when 2234 is divided by 494.
258
What is the remainder when 4663 is divided by 535?
383
Calculate the remainder when 48907 is divided by 24449.
9
Calculate the remainder when 64370 is divided by 29.
19
Calculate the remainder when 28641 is divided by 39.
15
Calculate the remainder when 321259 is divided by 35.
29
Calculate the remainder when 19032 is divided by 6.
0
What is the remainder when 2465 is divided by 201?
53
Calculate the remainder when 1808 is divided by 81.
26
Calculate the remainder when 71939 is divided by 136.
131
Calculate the remainder when 11333 is divided by 11225.
108
What is the remainder when 12357 is divided by 22?
15
What is the remainder when 271782 is divided by 297?
27
What is the remainder when 61651 is divided by 20499?
154
Calculate the remainder when 10028 is divided by 455.
18
Calculate the remainder when 2198 is divided by 1991.
207
What is the remainder when 5245 is divided by 138?
1
Calculate the remainder when 11534 is divided by 961.
2
What is the remainder when 8507 is divided by 654?
5
Calculate the remainder when 2391 is divided by 328.
95
Calculate the remainder when 2062664 is divided by 1389.
1388
Calculate the remainder when 164173 is divided by 15.
13
What is the remainder when 388 is divided by 388?
0
What is the remainder when 9496 is divided by 1415?
1006
Calculate the remainder when 76186 is divided by 5078.
16
What is the remainder when 298816 is divided by 83?
16
What is the remainder when 76036 is divided by 23?
21
Calculate the remainder when 42254 is divided by 132.
14
Calculate the remainder when 446357 is divided by 108.
101
What is the remainder when 25292 is divided by 375?
167
Calculate the remainder when 11263 is divided by 2241.
58
What is the remainder when 21787 is divided by 12?
7
Calculate the remainder when 3608 is divided by 1196.
20
What is the remainder when 1050592 is divided by 1032?
16
What is the remainder when 1571 is divided by 530?
511
What is the remainder when 4094 is divided by 227?
8
Calculate the remainder when 314400 is divided by 300.
0
Calculate the remainder when 1139663 is divided by 22.
19
Calculate the remainder when 1440 is divided by 103.
101
What is the remainder when 152429 is divided by 5080?
29
Calculate the remainder when 957560 is divided by 223.
221
Calculate the remainder when 4860 is divided by 11.
9
What is the remainder when 4296 is divided by 50?
46
What is the remainder when 4439 is divided by 4307?
132
Calculate the remainder when 85628 is divided by 2951.
49
Calculate the remainder when 7123 is divided by 12.
7
What is the remainder when 9660 is divided by 302?
298
What is the remainder when 250051 is divided by 6580?
11
Calculate the remainder when 1012 is divided by 51.
43
Calculate the remainder when 198516 is divided by 20.
16
Calculate the remainder when 204594 is divided by 3354.
0
Calculate the remainder when 3090 is divided by 1496.
98
Calculate the remainder when 110345 is divided by 49.
46
Calculate the remainder when 2759 is divided by 1321.
117
What is the remainder when 70439 is divided by 23459?
62
What is the remainder when 1594181 is divided by 1973?
1970
Calculate the remainder when 3609 is divided by 3579.
30
Calculate the remainder when 36284 is divided by 84.
80
Calculate the remainder when 2739 is divided by 263.
109
What is the remainder when 155356 is divided by 62?
46
What is the remainder when 53095 is divided by 2405?
185
Calculate the remainder when 2833 is divided by 260.
233
What is the remainder when 3943 is divided by 30?
13
Calculate the remainder when 4031 is divided by 572.
27
Calculate the remainder when 6273 is divided by 522.
9
Calculate the remainder whe
|
{
"pile_set_name": "DM Mathematics"
}
|
t a = 17.012 + -0.012. Let r = 35 + a. Let k = 51 - r. What is the fourth smallest value in k, 5, -4, 3?
5
Suppose -22*k = 35*k - 10*k. Let b = -5 + 43/9. What is the third smallest value in b, 0.5, k?
0.5
Suppose 5*y - y + 2*a - 28 = 0, -13*y + 40 = -2*a. What is the fourth biggest value in -0.1, -1/11, y, -3.3?
-3.3
Let n = -8 + 11. Let t be 32/(-144) - 52/9. Let h be n/t - (-8 + 3 + 3). What is the second smallest value in h, -0.08, 0.2?
0.2
Let j be ((-180)/3300)/(9/30). Which is the third biggest value? (a) 4 (b) -21 (c) j
b
Let n = 7207/6 + -1205. Let j = 13/3 + n. Let z = 8 - 11. Which is the third smallest value? (a) -5 (b) z (c) j (d) 0
d
Let i be 3/(-2)*(-12)/27. Let w be -5 - -4 - (-6)/4. Let s = 1820 + -1817. Which is the smallest value? (a) w (b) i (c) 2 (d) s
a
Let b = -664.1098 - -0.1098. Let a = b - -665. What is the second smallest value in a, 0.2, -57/4?
0.2
Let y be (2 - 44/20)*(-5)/4. Let s = 0.006 + -46.006. Let v = s + 44. What is the biggest value in -1/7, y, v, 3/2?
3/2
Let h = 783439.8 - 783440. Let t = -17 + 6. Let p be t/3 - (-2)/(-6). Which is the third smallest value? (a) h (b) -1 (c) p
a
Let g(a) = 2*a + 3. Let k be g(0). Let r be -6 + k - 2*33/(-18). What is the second biggest value in -2, 0, -2/3, r?
0
Let w be 4*-1 - 120/(-36). Let p = -40.1 + 40. What is the second biggest value in p, w, 27, 2?
2
Let g be (0 - 7) + 434/21*1/3. Which is the second biggest value? (a) -2/643 (b) -2/9 (c) g
c
Let u = 499 + -499.694. Let s = 7.224 + u. Let g = s - 6.6. Which is the third smallest value? (a) 1/2 (b) 0.4 (c) g
a
Let u = -102 - -102. Let f be 6/(-132)*(u + 26) - -1. Which is the biggest value? (a) 0.5 (b) -5 (c) f (d) 0
a
Let m = 7865 - 7865.5. Which is the second smallest value? (a) 1/7 (b) m (c) -8/59
c
Let m = -0.00965 - 0.39035. Let y = 6.03 - 1.98. Let u = 0.05 - y. Which is the second smallest value? (a) m (b) 0.4 (c) u (d) 6
a
Let r = -108 + 80. Let g be (1/58)/(5 - (-147)/r). Suppose 21 = -v + 5*u, 3*u - 2 = -5*v + 5. Which is the smallest value? (a) -5 (b) g (c) v
a
Let k be 24/(-10) - 14/(12 + -26). What is the second smallest value in k, -0.5, 0?
-0.5
Let n(h) = h**3 + 2*h**2 - 20*h - 55. Let g be n(-3). What is the third smallest value in 0.4, 36, g?
36
Let o = 8.668 - 8.868. What is the biggest value in 2/11, o, 116?
116
Suppose 2*w + 14 = 2*o, 0 = w + 2 - 0. Let j = -773.2 + 769.2. Let l = 1 - 1.03. Which is the second biggest value? (a) o (b) l (c) j (d) 4
d
Suppose -5*k + 56 = -5*d + 26, -25 = -5*k. Let i = -1.5 + 1. What is the third smallest value in -0.02, i, d, 8?
-0.02
Let i = 14 + 15. Let b = i - 36.7. Let c = -7.9 - b. What is the smallest value in c, 0, 6?
c
Let s = 13043 + -14101.6. Let q = 970 + s. Let m = 89 + q. What is the biggest value in -1/4, -12, m, -0.5?
m
Suppose l - 4*s + 0 + 15 = 0, 5*s = 25. Suppose w + 2*w + 175 = l*b, 4*w = 0. Let v be (-35)/(-21)*6/b. What is the smallest value in -1/3, 3, v?
-1/3
Let m be ((-12)/(-8))/(-1)*2. Let o(s) = 3*s + 2. Let j be o(m). Let t = 6 + j. Which is the second smallest value? (a) -5 (b) t (c) -0.5
b
Suppose -2 + 0 = -o. Let k = -2968 - -2977. Which is the biggest value? (a) o (b) 1 (c) k
c
Suppose 0 = 147*v - 183 - 405. What is the fourth biggest value in v, -87, 2/11, -8?
-87
Let t be ((-9)/(-6))/((-15)/(-20)). Let v = 737/3 + -245. What is the fourth smallest value in -5, v, t, -2/7?
t
Let y(q) = -q**3 - 27*q**2 + 39*q - 556. Let f be y(-29). Which is the fourth smallest value? (a) 2/5 (b) f (c) -2 (d) 234 (e) 3/4
e
Let m = 0.23 + -0.34. Let h = m - -3.11. Let r(q) = q**2 - 3*q + 2. Let l be r(3). What is the biggest value in -3, l, h?
h
Let m = 209050/9 - 23228. Let i = -9.14 - -0.14. Which is the second biggest value? (a) i (b) m (c) 8/13
b
Let n = -777/230 + 216/115. What is the third biggest value in 0.5, 2.006, n?
n
Let l = -1 - 2. Let g = 1.419 + 0.081. Let q = g - -2.5. Which is the third smallest value? (a) q (b) 3 (c) l (d) -1/3
b
Let j = 0.358 + 0.015. Let s = j - -0.027. Let w = -9.1 - 0.9. Which is the fourth biggest value? (a) -2 (b) 3 (c) w (d) s
c
Suppose -2*p = -13 + 1. Let j = 8 - p. Let s = -737 - -732. Which is the third smallest value? (a) j (b) 0.5 (c) s
a
Suppose 0 = -673*l + 750*l + 8701. What is the second biggest value in -3, -3/8, l?
-3
Suppose -5*o = -5*r + 14 - 9, -4 = -o - 4*r. Let k = -1666 + 1666.082. What is the second biggest value in 4, o, k?
k
Let b = 12926 - 12925.88. What is the fourth biggest value in -2/5, 0, b, 2, 3?
0
Let f = 27 - 27. Let n = -49 + 58. Let u(s) = s**2 - 7*s - 19. Let x be u(n). Which is the third biggest value? (a) x (b) f (c) 1 (d) 7
b
Let c = 0.274 - -0.08. Let i = c + 0.046. What is the third smallest value in 8/11, 0.2, i?
8/11
Let o(r) = -2*r - 47. Let a be o(-28). Let x = 78.89 - 79. What is the second biggest value in a, x, 1?
1
Let z = 0.025 - -11.975. Let x = -2554 - -2554. What is the smallest value in -1, x, z, 1/3?
-1
Let p = 8.1752 + -0.1752. Which is the second biggest value? (a) -0.5 (b) p (c) -0.09 (d) 0.3
d
Let z be (60/(-9) - 2)/(-10) + -1. Let x = 60/13 - 62/13. Which is the third biggest value? (a) z (b) -11/6 (c) 1/3 (d) x
d
Let u be (-22)/(-154)*(-140)/4. What is the second smallest value in 5/3, 397, u?
5/3
Let q = 3.3152 - -0.6848. Which is the fourth biggest value? (a) 0.4 (b) 136 (c) -1 (d) 0 (e) q
d
Let r = 0.42765 + 0.07235. Let a = 0.21 + -0.51. What is the third biggest value in a, 3, -2/17, r?
-2/17
Let p = 31.93 + -0.73. Let q = p + -26.2. Suppose -l - l = 4*i - 2, -2*i = -4*l + 14. What is the third smallest value in q, 4, l, 2/3?
4
Let q = -8 - -5. Let y = q - -2. Let p be (76/874)/((-60)/460). Which is the second smallest value? (a) y (b) 2 (c) -2 (d) p
a
Let q(l) = 4*l - 15. Let n be q(4). Let p be ((-20)/(-70))/(n*2). Let g = -38 - -37.6. Which is the biggest value? (a) 1 (b) g (c) p
a
Let p = -6 - -3. Let x be (1584/(-40))/((-9)/120). Suppose -s = 43*s + x. What is the second biggest value in -0.4, p, s?
p
Let l = 5150 + -10299/2. Which is the third smallest value? (a) 1 (b) -3 (c) -5/7 (d) l (e) -0.04
e
Let u = 0.1096 + 64.7904. Let i = -36.1 - u. Which is the second smallest value? (a) i (b) 1/4 (c) 5
b
Let q(l) be the second derivative of -l**3/6 + 2*l**2 + 71*l. Let w be q(7). What is the smallest value in 0.5, 1/6, -4, w?
-4
Let j = 10259/60 - 687/4. Let r = j + 3/5. Let c = 0.6 + 3.4. What is the third biggest value in r, -2/7, c?
-2/7
Let i = -43076/15 + 2872. Which is the biggest value? (a) i (b) -11 (c) 0
a
Let s be 4/134 - (-6545)/16415. What is the second smallest value in s, -2/7, -1.702, -0.1?
-2/7
Let d = -47.3 + -6.6. Let w = 54 + d. Which is the second biggest value? (a) 2 (b) -1 (c) w
c
Let v be -1 - (-2)/3 - 79768/(-73632). Which is the smallest value? (a) 1.4 (b) -4/5 (c) -2/5 (d) -0.2 (e) v
b
Let r = 1542 + -1538. Let c = -41.1 + 45. Let o = c - r. What is the second smallest value in o, 0.3, -0.12?
o
Let r = 44 + -40.81. Let x = r + -3.576. Let l = -0.014 + x. What is the second biggest value in l, 3, 0.5?
0.5
Let w be (2/(-3))/(2/3). Let g = -71314 + 71313.8. Which is the second biggest value? (a) 2/3 (b) w (c) g
c
Let z be (-363)/22 + 21 + -5. What is the second biggest value in -32, -9/5, z?
-9/5
Let t be (-4)/15*((-27)/(-81))/((-7)/35). What is the third biggest value in -2/17, -4, t, -14, 5?
-2/17
Suppose 5*b - 3*f = -585, -11*f + 13*f - 470 = 4*b. Let r be b/22*54/135. What is the third smallest value in 1/4, 0.4, r?
0.4
Suppose -l - 407 + 287 = r, 3*r - 7*l + 380 = 0. What is the third biggest value in -9, r, 0?
r
Let l = 192 + -575/3. Let i = 88/415 - 1/83. Which is the third biggest value? (a) i (b) 1 (c) l (d) 2
c
Let x = 38884 - 38868.063. Let t = -0.063 - x. Let p = -0.16 + 0.46. Which is the third smallest value? (a) -3/7 (b) p (c) t
b
Let l = 933 + -932. Let q = 14 + -30. Let x = q - -8. What is the second smallest value in -2/5, l, x?
-2/5
Let r = 2/65 + 124/195. Let m = -55 - -55.1. Which is the fourth biggest value? (a) -0.1 (b) m (c) 0.01 (d) r
a
Let g = -3655 + 3656. What is the fourth biggest value in g, 0, 4, 10/49?
0
Let m = -4 + 1. Let q = 0.072 + -0.125. Let o = 2.947 - q. What i
|
{
"pile_set_name": "DM Mathematics"
}
|
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