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518521?
197/8518521
-2014155 divided by 45
-44759
5 divided by 25167115
1/5033423
Calculate 21 divided by -432274.
-21/432274
Calculate -2737 divided by 4158.
-391/594
What is 48446389 divided by 6?
48446389/6
Calculate -13 divided by 821515.
-13/821515
What is -7433892 divided by 1858473?
-4
Calculate 0 divided by -41897965.
0
Calculate 130779526 divided by 6.
65389763/3
Calculate 3508208 divided by 14146.
248
1864232 divided by 199
9368
What is -432630117 divided by 9?
-48070013
Calculate -286504 divided by -236.
1214
Calculate -97574840 divided by -462440.
211
What is 841 divided by 69?
841/69
Divide 678131496 by -18836986.
-36
Calculate -98642970 divided by 5.
-19728594
What is -146115865 divided by -4713415?
31
Calculate 362264 divided by 12.
90566/3
Calculate 1 divided by -12589043.
-1/12589043
Divide 4 by 41444478.
2/20722239
Calculate -4 divided by 22884153.
-4/22884153
Divide 24187 by -5019.
-24187/5019
Divide -3465 by 9866.
-3465/9866
151341744 divided by -1608
-94118
Calculate -2141988 divided by 22.
-1070994/11
What is 3 divided by -73864715?
-3/73864715
Calculate 2862608 divided by 14.
204472
Calculate -1552900530 divided by -45673545.
34
What is 1095 divided by 504631?
1095/504631
What is -364 divided by -55228?
91/13807
What is 0 divided by 53368025?
0
Divide 5853 by 387.
1951/129
Divide -2951641 by 102.
-2951641/102
What is 724408048 divided by -13?
-55723696
Calculate -4550106 divided by 71.
-64086
Divide 130275712 by -65137856.
-2
What is 2835 divided by 729?
35/9
Calculate -2229 divided by -179220.
743/59740
950022908 divided by 4
237505727
Divide -10410732 by 68044.
-153
Calculate -15809756 divided by -73.
216572
Divide 290235034 by -145117517.
-2
What is -52123695 divided by 3?
-17374565
What is 9857617756 divided by -4?
-2464404439
Calculate -45326708 divided by -4298.
10546
82781222 divided by -2138
-38719
Calculate -13001537 divided by -25.
13001537/25
Calculate 3 divided by 3909242.
3/3909242
35772264 divided by 144243
248
What is -6 divided by -184137?
2/61379
What is 3 divided by 459515217?
1/153171739
-9395328 divided by 4128
-2276
Calculate -151230688 divided by -2700548.
56
What is 6007043 divided by -858149?
-7
What is 24863506 divided by 12431753?
2
What is -37 divided by 64137?
-37/64137
-4 divided by -196437190
2/98218595
Divide 2001606315 by -3.
-667202105
What is 1324808 divided by -2?
-662404
Divide -2504880 by 144.
-17395
-4749865 divided by 5
-949973
What is -42130405 divided by 6?
-42130405/6
Divide 3 by -255554332.
-3/255554332
Divide 27922208 by 4.
6980552
Divide 8889250 by -37.
-240250
-44829750 divided by 525
-85390
What is -4587 divided by -11190?
1529/3730
Divide -3736300 by 4.
-934075
4462335 divided by -1871
-2385
3 divided by -6247824
-1/2082608
Divide 167573446 by 157642.
1063
Divide 296213040 by -6.
-49368840
Calculate -43 divided by 316029.
-43/316029
-84724610 divided by 4142
-20455
What is 106131872 divided by -133?
-797984
Calculate 73058550 divided by 6.
12176425
6418414 divided by 25
6418414/25
Divide 4 by 11759010.
2/5879505
Calculate -341057708 divided by -85264427.
4
Divide 3033096 by -33.
-91912
190195907 divided by -142897
-1331
Calculate -327403 divided by -496.
327403/496
Calculate 153036 divided by 1.
153036
93389252 divided by 1229
75988
Calculate -446599660 divided by -5.
89319932
Calculate 2 divided by 223007901.
2/223007901
Calculate 129536171 divided by 1.
129536171
What is 5 divided by 16019346?
5/16019346
Calculate -220138152 divided by 36689692.
-6
Divide 335 by 46220.
67/9244
Divide -11915062 by 1.
-11915062
-51907548 divided by -1179717
44
Calculate 9237657 divided by 13.
710589
What is 934 divided by -316813?
-934/316813
Calculate -118111 divided by 53.
-118111/53
What is -2760 divided by -17869?
2760/17869
Divide -41472681 by -6.
13824227/2
Calculate 4 divided by 7530673.
4/7530673
Divide 5431125 by -375.
-14483
What is -155937236 divided by 53?
-2942212
What is 17517240 divided by -342?
-51220
What is 231501490 divided by -362855?
-638
-24837697 divided by -3917
6341
-24775582 divided by -1303978
19
What is 3401 divided by -1097?
-3401/1097
Divide 21379823 by 21379823.
1
What is -109982536 divided by 2?
-54991268
5586588 divided by -441
-12668
What is -658870479 divided by -11169?
58991
Calculate 723024302 divided by 3972661.
182
Calculate -24332928 divided by -2.
12166464
Divide 3 by 21191269.
3/21191269
Divide 45 by -8099.
-45/8099
197158280 divided by -39431656
-5
34 divided by -293087
-34/293087
4 divided by -1231283
-4/1231283
What is 4 divided by -3672393?
-4/3672393
Divide 48647450 by -5575.
-8726
Divide 696250294 by -6568399.
-106
55133808 divided by 18377936
3
Calculate 173 divided by -93825.
-173/93825
769661253 divided by 85517917
9
Divide -8 by -2578236.
2/644559
Divide -67220759 by -5.
67220759/5
What is -13463652 divided by 1459?
-9228
What is -95124640 divided by -594529?
160
22332504 divided by -30846
-724
-823929 divided by -3
274643
-2988 divided by -16429
2988/16429
What is 34346460 divided by -30?
-1144882
What is 5007 divided by 813?
1669/271
Divide 2991179048 by 4.
747794762
Divide 8233356 by 5188.
1587
77 divided by -69919
-77/69919
What is -19660563
|
{
"pile_set_name": "DM Mathematics"
}
|
e 4*w + 2 = 5*l + 32, -8 = 4*l. What is the nearest to w in 0.1, p, -4, -2/9?
0.1
Let n = -10.8 + 10.74. Suppose 4*z + q = -2*q + 131, 0 = 4*z - 4*q - 124. Let u be (-4)/(-6)*(-12)/z. Which is the nearest to 0.1? (a) n (b) 4 (c) u
a
Let n(i) be the second derivative of 7*i - 1/12*i**4 - 1/2*i**3 + 0 + 9/2*i**2. Let h be n(-4). Which is the nearest to -1/2? (a) -0.5 (b) h (c) 6
a
Let s = 1488 - 1487. Which is the nearest to -0.07? (a) -3 (b) -3/2 (c) 3 (d) s
d
Let a = -3.952 + -0.048. Let c = 1.9 + -0.48. Let y = c - 1.22. What is the closest to a in 4, 11, y?
y
Let i = 124824 + -124990. Suppose 0*m - 7 = 2*m - v, 4*v - 4 = 0. Which is the nearest to i? (a) -4 (b) 0 (c) m
a
Suppose 15*t - 150 = 12*t. Let i = t + -45. Suppose i*f + 4*d = 8, 27 = f + 2*f - 5*d. Which is the closest to 4? (a) f (b) -0.02 (c) -3
a
Let f = 1.1485 + -1.0485. Which is the closest to f? (a) 5/3 (b) 4 (c) 0 (d) 3/7
c
Let m = 388 + 6. Let o = -396 + m. Which is the closest to 1? (a) -0.3 (b) o (c) 2 (d) 1/6
d
Let c = -581 - -587. Let t(j) = -2*j + 12. Let l be t(c). What is the nearest to l in -5/4, -2/11, -1?
-2/11
Let l = 0.53 + 0.07. Let k = 21386/7 + -3055. What is the nearest to -2/5 in l, k, -4/3, -1/3?
-1/3
Let y = 54.3 - 54.367. Let u = 1.233 - y. Which is the closest to -1/3? (a) -3 (b) u (c) 5 (d) -2
b
Suppose -706 = -211*z + 138. What is the nearest to -0.01 in z, 0.9, 13, 0?
0
Let f = 11/210 + 7/30. Let j be -14*4/72 - 12/(-12). Let o be 2/7 + 4 + (-30)/7. What is the nearest to o in j, f, -3?
j
Let a(z) = -136*z - 947. Let x be a(-7). Let n be 118/(-8) + (-4)/16. Let y be n/(-17) + -2 + 1. What is the closest to 1 in x, y, -2?
y
Let r = 947 + -8522/9. Which is the closest to -24? (a) -0.2 (b) -0.4 (c) 0.1 (d) r
b
Suppose -19*q - 57 = -19. Let y be (-16)/(-32)*10*q/12. Which is the nearest to -9? (a) -1/3 (b) 2 (c) y (d) 1
c
Let t = -25137 - -25138. Let z be ((-12)/(-81))/((-4)/6). Which is the closest to z? (a) 2 (b) t (c) 2/13
c
Suppose 11 = -3*f - 4*j, -3*f + 2*f = 3*j + 2. Which is the nearest to 1/116? (a) -1/3 (b) f (c) 5
a
Let v = -22.7 + 0.7. Let l = 63688.5 - 63689. What is the nearest to v in -1/4, 3/4, l?
l
Let r = 6022.1 - 6022. What is the nearest to 6.2 in r, -8, -0.2?
r
Let a = -113 - -116. Let b = -59.9 + 59.6. What is the closest to 0.1 in 5/4, a, b?
b
Let c = 3.559 - -0.441. Let x be (-111)/(-21) + (-8)/28. Suppose -21 = x*h + 14. What is the closest to h in c, 2, 3?
2
Let j = -133.672 + -0.328. Let m = j + 130. What is the nearest to -1 in -3, 6, m?
-3
Let b = -71.5 + 71. Suppose 19*g + 90 = 33. What is the nearest to g in 13, -1, b?
-1
Let m = -86513/11 + 7865. Which is the nearest to -22? (a) 2/9 (b) -0.07 (c) m
b
Suppose -9 = -l - 2*l. Suppose 9*g - 306 = 144. Let u be g/330 + 1/(-3). What is the closest to 1 in l, u, 0.1?
0.1
Let u = 0.574 + -1.574. Let w = -14 - -22. Let y = w + -8.4. Which is the nearest to u? (a) 1 (b) -1/4 (c) y
c
Let n be 4*(-30)/(-144) - 9/6. Which is the nearest to -2/5? (a) n (b) 4 (c) 0.38 (d) 0.1
a
Let y = 0.140037 + -0.440037. Let l be 2/9 - (-26)/(-36). What is the closest to -0.1 in y, -0.4, -0.1, l?
-0.1
Let g(d) = -9*d**3 + 80*d**2 + 12*d - 14. Let k be g(9). Which is the closest to 0.2? (a) -4 (b) -9/32 (c) k
b
Let a = 1451.7 + -1456.5. What is the closest to -1/3 in a, 5, -1/3, 0.1?
-1/3
Let x = 0 + -3. Let m = -0.063759 - 4.936241. Let n = -0.5 + 0. Which is the closest to m? (a) x (b) n (c) 5
a
Let c be (-28)/(-455)*(-5)/2. Let z = 376 - 375. Let x = 2.8 + -3. What is the closest to z in c, x, -1?
c
Let w = 163 + -168. Suppose -2*i - 3*i - 19 = 4*y, i + 5*y + 8 = 0. Let j be (-6)/(-9)*(-1)/2. Which is the closest to 3? (a) i (b) j (c) w
b
Let n be (32/112 - (7 - 1778/294)) + 1. Let x = -0.1 + -0.9. Which is the nearest to x? (a) -1 (b) n (c) 2 (d) 1
a
Let f(x) be the third derivative of x**6/120 - x**5/20 + x**4/6 - x**3/2 + 57*x**2 + 2. Let m be f(3). Which is the nearest to m? (a) 0.3 (b) -0.4 (c) 9
c
Let o = -16071 - -16070. Let y = -2 - -2.5. Which is the closest to o? (a) -15 (b) 3/5 (c) y
c
Let n be (-8)/18*(-
|
{
"pile_set_name": "DM Mathematics"
}
|
) + 1 + -3 - ((sqrt(98) + sqrt(98)*-2 - sqrt(98) - sqrt(98))*-5 - (sqrt(98) + 0 + 5)))**2.
-180*sqrt(2) + 16201
Simplify ((-6*1*sqrt(81))/(sqrt(21)/(sqrt(28)/sqrt(4)*-2)))**2.
3888
Simplify (sqrt(7200) - 2*(sqrt(7200) + -2*sqrt(7200) - sqrt(7200)))/((sqrt(480) + sqrt(480)*2)/sqrt(3)).
5*sqrt(5)
Simplify (1*((sqrt(56) - sqrt(504)/(sqrt(18)/sqrt(2)))/sqrt(8) - (-1 + sqrt(7) + sqrt(7) + 0 + 1 + sqrt(14)/sqrt(2))))**2.
63
Simplify -2 + sqrt(147) + sqrt(147) + sqrt(147) + sqrt(147) + 2 + sqrt(147) + sqrt(147) + -4 + 3 + (sqrt(147) + (sqrt(147) + -2 - sqrt(147))*-6)**2.
290 + 210*sqrt(3)
Simplify (6*(sqrt(190) + 4*sqrt(190)*-2))/(-2*sqrt(1000) + (sqrt(10)*-2 + sqrt(10))*-2)*-3.
-7*sqrt(19)
Simplify (-2 + sqrt(27)/sqrt(9))**2*4 - (sqrt(240)/sqrt(5) - (1 + sqrt(3) + 2)).
-19*sqrt(3) + 31
Simplify ((sqrt(112) - (sqrt(112) + -1)**2)*6 - (sqrt(112) + (sqrt(112) + 4)*2)**2)*4.
-7000 - 480*sqrt(7)
Simplify (0 + 3*(sqrt(44) + -1 - sqrt(44)) + sqrt(33)/((sqrt(60)/sqrt(4))/sqrt(5))*-2)**2.
12*sqrt(11) + 53
Simplify ((sqrt(468) - (-3 + 2*sqrt(468))) + 3 + 0)*1.
-6*sqrt(13) + 6
Simplify (2*sqrt(475) - sqrt(19)) + sqrt(2736)*-2 + -5*((-4*sqrt(171))**2 + sqrt(171)).
-13680 - 30*sqrt(19)
Simplify -3*((2*sqrt(98))/sqrt(7))/(sqrt(162)/sqrt(9)).
-2*sqrt(7)
Simplify (sqrt(91) - (sqrt(91) + -3*3*sqrt(91)))/(4*sqrt(7)*5).
9*sqrt(13)/20
Simplify (-1 + (-2 + sqrt(684) - sqrt(19)) + (sqrt(475) - (sqrt(475) + -3))*4 + sqrt(475))**2.
180*sqrt(19) + 1981
Simplify (sqrt(2299) - 6*(0 + sqrt(2299)) - 1*sqrt(2299)*-1)*-5.
220*sqrt(19)
Simplify -5 + (sqrt(76) - (sqrt(76) - -3*(sqrt(76) - -1*sqrt(76))))/sqrt(4) + (-1 + sqrt(2299))*-4.
-50*sqrt(19) - 1
Simplify (-4 + 5*-2*sqrt(1088) + -5)**2 + 4.
1440*sqrt(17) + 108885
Simplify ((sqrt(88) + (sqrt(88) + sqrt(88) + sqrt(88)*1)*5)/(sqrt(4)/sqrt(2)*5))**2.
11264/25
Simplify -4*((sqrt(475)*2 - sqrt(95)/(-2*sqrt(5) - sqrt(5)))**2 + -4).
-72892/9
Simplify ((sqrt(576)*2 + (sqrt(9)*-1*-3 + sqrt(9) - sqrt(9)))/((3*(sqrt(27) - sqrt(27)*-1))/sqrt(9)))**2.
361/12
Simplify 4*(6*(2 + sqrt(72)*-2))**2.
-6912*sqrt(2) + 42048
Simplify (sqrt(10) - sqrt(100)/sqrt(40))/(-6*sqrt(125)) + 5 + 0.
-sqrt(2)/60 + 5
Simplify (-3*sqrt(684)/sqrt(108))/(6*sqrt(9)/sqrt(3) - (sqrt(3) - sqrt(84)/sqrt(7))).
-sqrt(19)/7
Simplify (sqrt(33) + sqrt(1617) + -2*sqrt(1617) - sqrt(297)*-4)/(-2*(-1*sqrt(110))/sqrt(10)).
3*sqrt(3)
Simplify ((sqrt(78)/sqrt(192) - sqrt(26))/sqrt(2))**2 - (3 + (-2*sqrt(13))**2 + sqrt(13) + -5).
-2563/64 - sqrt(13)
Simplify 2*(-1*sqrt(78)*3)/sqrt(216).
-sqrt(13)
Simplify (3*sqrt(1216)*-6 - ((sqrt(1216) - (0 + sqrt(1216) - sqrt(1216)))**2 + 4 - sqrt(1216))) + -3.
-1223 - 136*sqrt(19)
Simplify (-3*2*6*4*(sqrt(1088) - (-1*sqrt(1088) + sqrt(1088)))*-5)**2.
564019200
Simplify (2 + (sqrt(275) - (-3 + sqrt(275) + -1) - -3*(sqrt(275) + 0))*1)**2*1.
180*sqrt(11) + 2511
Simplify sqrt(162)/(sqrt(9)*-3)*-5 + -2 + 1.
-1 + 5*sqrt(2)
Simplify (-3 + (5*-2*sqrt(192) - sqrt(192)) + 2 + 0 + sqrt(192))**2.
160*sqrt(3) + 19201
Simplify ((sqrt(208) + sqrt(208) + 0 + sqrt(208))**2*2 - ((sqrt(208)*1)**2 + 4 - sqrt(208))) + 3*1*(sqrt(208) - (sqrt(208) + 0)).
4*sqrt(13) + 3532
Simplify 1*-6*sqrt(95)/(sqrt(20)/sqrt(4)) - ((sqrt(57) - sqrt(228)/sqrt(4))*2)/(1*sqrt(243)).
-6*sqrt(19)
Simplify ((-2*sqrt(98) + 1)*-6)**2 + (sqrt(98) + -1 + 4 - ((sqrt(98) + sqrt(98)*-1 + 4)**2 - sqrt(98))).
-994*sqrt(2) + 14135
Simplify (sqrt(1573) - (sqrt(1573) + -3 - sqrt(1573) - sqrt(1573) - sqrt(1573))**2)*2 - (sqrt(143)/(sqrt(22)/sqrt(2)) - (3 + sqrt(39)/sqrt(3))).
-12599 - 242*sqrt(13)
Simplify ((sqrt(343) + 2)*1 + 5 + 1)**2*2.
224*sqrt(7) + 814
Simplify -2*5*3*sqrt(1088) - (((2*sqrt(1088) - sqrt(1088)) + sqrt(1088))*1 - (sqrt(1088) + -2 + sqrt(1088)*-2)).
-264*sqrt(17) - 2
Simplify ((5 + sqrt(2) + sqrt(18) + 2)**2 - (sqrt(200)/(sqrt(10)*-1) + sqrt(20))/sqrt(10))*-3.
-243 - 168*sqrt(2)
Simplify 6*(2 + sqrt(75) + sqrt(75) + -1 + 4 + (2*sqrt(75) + 4)**2).
540*sqrt(3) + 1926
Simplify -1*(-4*(sqrt(190) - (sqrt(190) - sqrt(190)*3) - sqrt(190)))/(sqrt(90)/(sqrt(9)*-3)).
-24*sqrt(19)
Simplify (-2 + (sqrt(125) - -1*(sqrt(125) + -1) - (-2 + sqrt(125)*-4 + sqrt(125))) + -5)**2.
-300*sqrt(5) + 3161
Simplify (sqrt(343) + -5 + sqrt(7))*1 + (sqrt(7) + (sqrt(77) + sqrt(77)*-2)/sqrt(11) + sqrt(7)*1*-4)**2.
8*sqrt(7) + 107
Simplify (3*sqrt(539)*3 + sqrt(539) - sqrt(539))*-1 + ((3 + sqrt(539) + 0)**2 - ((sqrt(539) + 2)*5)**2).
-13027 - 721*sqrt(11)
Simplify 2*(-2 + 2*sqrt(117) + 4)*-1 +
|
{
"pile_set_name": "DM Mathematics"
}
|
-1601462*y - 1
What is the u'th term of -797, -3049, -6797, -12035, -18757, -26957, -36629, -47767?
u**3 - 754*u**2 + 3*u - 47
What is the k'th term of 181411, 362818, 544223, 725626, 907027, 1088426?
-k**2 + 181410*k + 2
What is the x'th term of 4766, 4747, 4728, 4709?
-19*x + 4785
What is the j'th term of 34210, 68365, 102520, 136675, 170830?
34155*j + 55
What is the n'th term of -7370, -14713, -22056, -29399?
-7343*n - 27
What is the b'th term of -105, -57, 19, 123, 255, 415, 603?
14*b**2 + 6*b - 125
What is the h'th term of -7, -316, -895, -1744?
-135*h**2 + 96*h + 32
What is the r'th term of -436, -808, -1254, -1810, -2512, -3396, -4498, -5854?
-6*r**3 - r**2 - 327*r - 102
What is the x'th term of -280907, -561806, -842703, -1123598, -1404491, -1685382?
x**2 - 280902*x - 6
What is the a'th term of 72431, 72424, 72413, 72398?
-2*a**2 - a + 72434
What is the o'th term of -961, -3574, -7929, -14026, -21865?
-871*o**2 - 90
What is the n'th term of 53, 78, 151, 296, 537, 898, 1403?
4*n**3 - 3*n + 52
What is the z'th term of 750, 1399, 2048, 2697, 3346, 3995?
649*z + 101
What is the x'th term of -417958, -417953, -417948, -417943?
5*x - 417963
What is the x'th term of -1065769, -1065768, -1065769, -1065772?
-x**2 + 4*x - 1065772
What is the v'th term of -40816, -81617, -122418, -163219?
-40801*v - 15
What is the n'th term of -269, -436, -589, -722, -829?
n**3 + n**2 - 177*n - 94
What is the i'th term of -4531, -18147, -40845, -72625, -113487?
-4541*i**2 + 7*i + 3
What is the i'th term of 174, 450, 932, 1728, 2946, 4694?
18*i**3 - 5*i**2 + 165*i - 4
What is the t'th term of 230, 444, 680, 950, 1266, 1640, 2084, 2610?
2*t**3 - t**2 + 203*t + 26
What is the s'th term of 212, 350, 410, 386, 272, 62, -250, -670?
-s**3 - 33*s**2 + 244*s + 2
What is the x'th term of 1552, 3030, 4488, 5920, 7320, 8682?
-x**3 - 4*x**2 + 1497*x + 60
What is the o'th term of -5104, -10163, -15150, -20029, -24764, -29319, -33658?
6*o**3 - 5101*o - 9
What is the w'th term of 3932, 3796, 3660?
-136*w + 4068
What is the p'th term of 450, 879, 1324, 1785, 2262, 2755, 3264?
8*p**2 + 405*p + 37
What is the i'th term of 43183, 43181, 43179, 43177, 43175?
-2*i + 43185
What is the b'th term of 2293, 2240, 2151, 2026, 1865, 1668?
-18*b**2 + b + 2310
What is the u'th term of 45001, 179987, 404963, 719929, 1124885, 1619831?
44995*u**2 + u + 5
What is the p'th term of -945440, -945441, -945450, -945473, -945516, -945585?
-p**3 + 2*p**2 - 945441
What is the r'th term of -260, -681, -1276, -2045, -2988, -4105, -5396?
-87*r**2 - 160*r - 13
What is the w'th term of -1369, -2952, -4535, -6118, -7701, -9284?
-1583*w + 214
What is the g'th term of 60691, 121367, 182025, 242659, 303263, 363831, 424357, 484835?
-g**3 - 3*g**2 + 60692*g + 3
What is the u'th term of -303, -264, -197, -102?
14*u**2 - 3*u - 314
What is the m'th term of 63, 562, 1921, 4572, 8947, 15478, 24597, 36736?
72*m**3 - 2*m**2 + m - 8
What is the t'th term of 120211, 120210, 120209, 120208, 120207, 120206?
-t + 120212
What is the h'th term of -2616, -2709, -2802, -2895, -2988, -3081?
-93*h - 2523
What is the v'th term of -707987, -707984, -707981, -707978?
3*v - 707990
What is the y'th term of 19234, 38435, 57608, 76753, 95870?
-14*y**2 + 19243*y + 5
What is the f'th term of 1181, 1057, 853, 569, 205?
-40*f**2 - 4*f + 1225
What is the c'th term of -26668, -106665, -239994, -426655, -666648, -959973, -1306630?
-26666*c**2 + c - 3
What is the h'th term of 46809, 46829, 46847, 46863, 46877?
-h**2 + 23*h + 46787
What is the l'th term of -1570, -3185, -4786, -6367, -7922?
l**3 + l**2 - 1625*l + 53
What is the d'th term of -56, -517, -1808, -4343, -8536?
-69*d**3 - d**2 + 25*d - 11
What is the l'th term of 4731, 9486, 14243, 19002, 23763, 28526, 33291?
l**2 + 4752*l - 22
What is the g'th term of -12836, -12811, -12784, -12755, -12724?
g**2 + 22*g - 12859
What is the j'th term of 1843, 1834, 1821, 1804, 1783?
-2*j**2 - 3*j + 1848
What is the s'th term of -187, -1453, -4939, -11755, -23011, -39817, -63283?
-185*s**3 + 29*s - 31
What is the d'th term of 16, -21, -92, -209, -384, -629, -956?
-2*d**3 - 5*d**2 - 8*d + 31
What is the y'th term of 53899, 215593, 485083, 862369?
53898*y**2 + 1
What is the b'th term of -609, -1231, -1855, -2481, -3109,
|
{
"pile_set_name": "DM Mathematics"
}
|
.
662
Rearrange (-6 + 6 + 2)*(271182*y - 11*y**2 - 271182*y) to l*y + j*y**2 + h and give l.
0
Express k**2 - 46*k**3 - k**3 + 32 + 2*k**3 - 2*k**4 - 11 - 19 as t*k**3 + d*k + i + o*k**2 + m*k**4 and give o.
1
Express 3 - 5 + 2*b + 21 + (b + 0 + 0)*(0 - 2 + 3) - b + 2*b + b + 3 + 2 - b - 2 as h*b + i and give i.
22
Rearrange (h - 2 + 2)*(0*h - 4*h + 2*h) + 477*h**2 + 3162*h**2 + 7400*h**2 + 442*h**2 - 107*h**2 to v*h + o*h**2 + l and give o.
11372
Rearrange 4 - 38*a**2 + 37*a**2 - 84*a**2 - 6 - 28*a**2 to the form p*a**2 + y*a + i and give p.
-113
Rearrange (-49*t**2 + 191 - 201 + 65*t**2)*(3 - 2*t - 3) to s*t**3 + k*t**2 + q + z*t and give s.
-32
Express k**2 + 6*k**2 + 11*k**2 + (-k**2 + 4*k**2 - 2*k**2)*(-44 + 9 - 55) in the form d + t*k + f*k**2 and give f.
-72
Rearrange -961 + 3*q - 25*q**4 + 0*q + 960 to v*q + s + i*q**4 + w*q**2 + d*q**3 and give i.
-25
Express (-g - 2 - 1 + 5)*(-3 + 2*g + 3) + 163*g + 87*g**2 - 163*g in the form q*g + w*g**2 + k and give w.
85
Rearrange 166 - 54 - 55 + 1415*a - 57 to r*a + u and give r.
1415
Express 18*w + 10*w - 4*w + 2 - 10*w - 3 as f*w + p and give p.
-1
Rearrange -1 + 165*a + 694*a + 1 to the form t + s*a and give s.
859
Rearrange -61*p**4 - 441*p**3 + p**2 - 154*p**4 + 442*p**3 + (-2*p**2 + 0*p**2 + 0*p**2)*(p**2 + 1 - 1) to a*p + k*p**3 + m + o*p**2 + c*p**4 and give c.
-217
Express (-4 + 3 + 3)*(-4*r**4 + 4*r**4 - 2*r**4) - 20*r**4 - 4*r**3 + 19*r**3 + 15*r**4 in the form y*r**3 + k*r**4 + b*r**2 + l*r + a and give y.
15
Express -25*x - 29*x + 218*x + (1 - 1 - 3*x)*(-4 + 1 + 5) + 3*x + 2*x - 3*x - 2*x - x + 4*x as g*x + q and give g.
161
Express -3 - 2 - 3*w + 3 + 2*w**2 + 4*w**4 + 1 + 0*w**2 in the form j*w**3 + s*w**4 + l*w + f + o*w**2 and give s.
4
Rearrange (-2*a - 117*a**3 + a + 38*a**3)*(1 - 1 - a) to the form c*a + w*a**4 + d*a**3 + q*a**2 + p and give q.
1
Express 12*t + 148*t**2 + 156*t**2 + 2 + 150*t**2 - 598*t**2 + 151*t**2 as d*t**2 + c + s*t and give s.
12
Rearrange -132 + 303*x**2 + 132 to the form u*x**2 + h + r*x and give u.
303
Rearrange -9 - 6 + 242*v + 14 - 868*v + 0 to b + c*v and give c.
-626
Rearrange -14 + x - 12 + 2*x + 4*x to g + d*x and give d.
7
Express (-r**2 - r**2 + 0*r**2)*(-174*r - 132*r - 373*r - 540*r + 56*r) in the form j + k*r + s*r**3 + y*r**2 and give y.
0
Rearrange 1 - 1 - 2*w**4 + (2*w**4 - 3*w**4 + 2*w**4)*(3 - 3 + 4) to the form y*w + m*w**2 + n + o*w**4 + f*w**3 and give o.
2
Rearrange (o + o - 3*o)*(-2 + 0 + 4)*(-94*o**3 - 50*o**3 - 85*o**3) to the form x*o**4 + v*o**3 + g*o + c + i*o**2 and give x.
458
Rearrange (2*z**2 + 3 - 3)*(-4*z + z + z) + z**3 - z**3 + z**3 + (3 - 3 - 4*z)*(-21 + 21 + z)*(4*z - 3*z + z) to the form i*z**3 + u*z + p*z**2 + x and give i.
-11
Express 16*p - 2*p**4 - 57*p - 3 + 4*p + 2 + 21*p as h*p**4 + l*p**3 + d + a*p**2 + f*p and give h.
-2
Rearrange 8 - 3*f - f**4 - 39 + 14 to i*f**4 + b*f + t*f**2 + u + l*f**3 and give b.
-3
Express (-1 + 1 + 4*r)*(-124 - 43 + 16)*(0 - r**3 + 0) in the form n*r**2 + s*r**3 + f*r + j + z*r**4 and give z.
604
Express (1888*d**4 + 1676*d**4 - 1 - 5133*d**2 + 5131*d**2)*(0 - 5 + 4) in the form p*d + h*d**2 + r*d**4 + u*d**3 + n and give r.
-3564
Rearrange 10976*t + 692*t**2 - 93*t**2 - 10977*t to j + c*t + a*t**2 and give c.
-1
Express 15*d**2 - 117*d + 54*d + 4 + 61*d as x*d + y*d**2 + r and give x.
-2
Rearrange (-62 + 3*w + 62)*(9 - 10 + 8 + 11) to b + o*w and give o.
54
Express (c + c - 5*c)*(-65*c**2 + 5117*c - 5117*c)*(0*c + 0*c - 3*c) as r + l*c + g*c**4 + x*c**2 + d*c**3 and give l.
0
Express -65*a + 17*a**4 + 8*a**2 + 3*a**3 - 9*a**2 + 63*a - 66*a**4 as c + x*a + y*a**4 + h*a**2 + m*a**3 and give y.
-49
Express t**4 - 9*t**2 + 9*t**2 + (5*t**4 - 44*t**4 - 53*t**4)*(2 + 2 - 3) in the form p*t**3 + h*t**2 + j*t**4 + w*t + g and give h.
0
Express (-2*h**2 + 22*h**2 - 1 + 2*h - 1)*(-3*h + 2*h - h**2 + 0*h**2)*(33 - 30 - 31) as v*h + r*h**2 + i*h**3 + d*h**4 + g and give i.
616
Rearrange -6*o**3 + 3*o**3 - 3*o**3
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - t*r**3. Factor m(u).
5*(u - 3)*(u - 1)
Let i be (-2 - -2) + -2*(3 + -4). Let n be (12/165)/(i/10). Factor -2/11 + n*s - 2/11*s**2.
-2*(s - 1)**2/11
Factor -12/19*f - 2/19*f**3 + 0 + 14/19*f**2.
-2*f*(f - 6)*(f - 1)/19
Let l = 68 + -66. Factor 4*n - 2*n + n**2 - n - l*n**2.
-n*(n - 1)
Let l(d) be the third derivative of d**7/105 + 3*d**6/10 + 97*d**5/30 + 12*d**4 + 64*d**3/3 - 65*d**2. Determine a so that l(a) = 0.
-8, -1
Suppose -4*b - 98 + 26 = 0. Let q(h) = -22*h - 50. Let m(l) = l**2 - 89*l - 200. Let x(r) = b*q(r) + 4*m(r). Find w such that x(w) = 0.
-5
Find j such that -408 - 44*j + 213*j**2 + 215*j**2 + 211*j**2 - 635*j**2 = 0.
-6, 17
Suppose -57 = -29*d - 28 + 29. Suppose -14/5*s + 2/5*s**4 - 2*s**3 + 18/5*s**d + 4/5 = 0. Calculate s.
1, 2
Let u = -3/1112 - -13359/5560. Suppose u + 9/5*l - 3/5*l**2 = 0. What is l?
-1, 4
Determine k so that 0*k**2 - 2/11*k**4 + 156/11*k**3 + 0*k + 0 = 0.
0, 78
Let h(k) be the second derivative of k**5/20 - k**4/4 - 2*k**3/3 - 2*k - 39. Let h(g) = 0. What is g?
-1, 0, 4
Let 3/4*v**3 + 15/2 + 6*v**2 - 57/4*v = 0. What is v?
-10, 1
Let d(z) be the first derivative of z**5/10 - 9*z**4/8 + 7*z**3/2 - 19*z**2/4 + 3*z - 132. What is o in d(o) = 0?
1, 6
What is r in -11 + 8*r**3 + 35 - 40*r + 2*r**2 + 11*r**4 + 8*r - 13*r**4 = 0?
-2, 1, 2, 3
Let n(f) be the third derivative of -f**8/420 + 2*f**7/21 - 28*f**6/25 + 48*f**5/25 - 121*f**2. Factor n(u).
-4*u**2*(u - 12)**2*(u - 1)/5
Suppose 32*a = -569 + 7769. Let g = a + -223. Factor -2/7 - 9/7*s**3 - 20/7*s**g - 13/7*s.
-(s + 1)**2*(9*s + 2)/7
Let d be 9/(-168)*-3 + 184/1472. Let k = 267/7 - 38. Factor 1/7 + k*f**2 - d*f.
(f - 1)**2/7
Let r(w) be the second derivative of -w**3/6 + 19*w**2/2 - 6*w. Let u be r(14). Solve -5 - 5 + 12*z + 3 - u - 3*z**2 = 0 for z.
2
Let o(t) = 2*t**2 - 9*t + 5. Let d(q) = 3*q**2 - 14*q + 8. Let b be 6*((-20)/15 + 0). Let g(u) = b*o(u) + 5*d(u). Factor g(l).
-l*(l - 2)
Let q = -27859 + 55721/2. Factor -2*s**2 - 2*s + q*s**3 + s**4 + 0 - 1/2*s**5.
-s*(s - 2)**2*(s + 1)**2/2
Let -34/5*y + 28/15*y**2 + 2/15*y**3 + 0 = 0. What is y?
-17, 0, 3
Let v = -14899 + 44701/3. Factor 2/3*u - 7/3*u**2 - v*u**3 + 0.
-u*(u + 2)*(4*u - 1)/3
Let w(v) = -5*v + v + 4*v - v**2. Let q(y) = 21*y**2 - 9*y. Suppose -2*c - 2 + 0 = 0. Let s(o) = c*q(o) - 18*w(o). Suppose s(t) = 0. Calculate t.
0, 3
Let -13*m**3 + 34*m**2 - 2*m**3 + 4*m - 4*m + 17*m**3 = 0. What is m?
-17, 0
Let v(r) be the third derivative of -r**7/140 + 3*r**6/40 + r**5/40 - 3*r**4/8 - 75*r**2. Let v(b) = 0. What is b?
-1, 0, 1, 6
Find n such that 0 + 14/5*n**2 - 2/5*n**3 + 16/5*n = 0.
-1, 0, 8
Let w(z) be the second derivative of 2*z**7/525 - z**6/100 + z**4/60 - 12*z**2 + 9*z. Let o(l) be the first derivative of w(l). Let o(c) = 0. What is c?
-1/2, 0, 1
Let z(n) = -3*n**2 + 3*n + 3. Let o be 3/(-2) + -3*2/12. Let m(u) = u**3 - 2*u**2 + 2*u + 2. Let r(b) = o*z(b) + 3*m(b). Factor r(v).
3*v**3
Let m(n) be the third derivative of 0*n - 1/60*n**5 + 0 + 0*n**3 - 2*n**2 - 1/24*n**4. Factor m(h).
-h*(h + 1)
Let t be (-465)/(-744)*(-112)/(-315). Suppose 4/9*p + 0 - 2/9*p**5 - t*p**3 + 2/3*p**2 - 2/3*p**4 = 0. Calculate p.
-2, -1, 0, 1
Let f be -2 - 1 - (-83 - (2 + 2)). Factor 391 + 207 + 90*a + f + 3*a**2 - 7.
3*(a + 15)**2
Let w(h) be the second derivative of -h**7/21 - 2*h**6/7 + 17*h**5/35 + 20*h**4/21 - 9*h**3/7 - 10*h**2/7 + 386*h. Find q such that w(q) = 0.
-5, -1, -2/7, 1
Let d(h) = 2*h**2 + 18*h + 20. Let k be d(-8). Let r(y) be the second derivative of 1/4*y**3 + 0 - 3*y + 0*y**2 - 1/16*y**k. Suppose r(m) = 0. What is m?
0, 2
Let a(z) be the second derivative of 0 - 1/42*z**4 + 4*z**2 - 1/210*z**5 + 1/420*z**6 + 0*z**3 + 10*z. Let b(h) be the first derivative of a(h). Factor b(p).
2*p*(p - 2)*(p + 1)/7
Let r(v) = 13*v**4 + 5*v**3 - 13*v**2 - 5*v + 2. Let m(n) = 12*n**4 + 11 -
|
{
"pile_set_name": "DM Mathematics"
}
|
j + 102. Calculate y(4).
10
Let a(r) = 451*r - 15383. Calculate a(34).
-49
Let y(v) = -131*v**2 - 616*v - 734. Determine y(-2).
-26
Let j(w) = 11*w**3 + 31*w**2 - 44*w + 32. Determine j(-4).
0
Let v(q) = -q**2 + 263*q - 11475. What is v(207)?
117
Let c(j) = -4280*j**2 + 17235*j + 3. What is c(4)?
463
Let i(y) = 6*y**2 - 852*y + 21578. Determine i(109).
-4
Let m(t) = 991*t - 609497. Calculate m(615).
-32
Let i(k) = 5*k**2 - 342*k - 1782. What is i(-5)?
53
Let f(n) = -9*n**2 + 7*n + 77. Determine f(9).
-589
Let w(g) = 24*g**2 + 3836*g + 11502. Determine w(-3).
210
Let n(h) = -h**3 + 3*h**2 - 117*h + 959. Calculate n(7).
-56
Let z(j) = 7*j**3 - 467*j**2 - 110*j - 358. Give z(67).
1250
Let a(w) = 2*w**3 - 369*w**2 + 1256*w + 1977. Calculate a(181).
-14
Let o(r) = 15*r**3 + 227*r**2 + 907*r + 708. What is o(-9)?
-3
Let s(v) = 148*v - 11090. Calculate s(75).
10
Let j(d) = 49675*d + 496750. Determine j(-10).
0
Let a(r) = -r**3 - 181*r**2 + 2892*r + 722. Determine a(15).
2
Let i(m) = -2*m**2 + 161*m - 3093. What is i(49)?
-6
Let b(c) = -46466*c - 46354. Give b(-1).
112
Let f(t) = -3*t**2 + 344*t - 5540. Determine f(18).
-320
Let t(z) = -11*z**3 - 7*z**2 + 24*z + 1. Calculate t(-5).
1081
Let d(k) = 11*k**2 + 493*k + 2920. Calculate d(-34).
-1126
Let p(k) = -10*k**3 - 366*k**2 - 156*k + 90. Give p(-36).
-2070
Let q(t) = 93*t**2 + 3818*t - 7. What is q(-41)?
-212
Let q(i) = 285*i - 4737. Give q(9).
-2172
Let a(h) = -56*h**2 - 188*h + 50. Calculate a(-4).
-94
Let l(j) = 152*j**2 + 439*j - 26. Calculate l(-3).
25
Let r(a) = -2*a**2 - 170*a + 10484. Determine r(51).
-3388
Let x(j) = 4182*j - 17063. Calculate x(4).
-335
Let x(m) = 2*m**2 - 586*m + 17170. Determine x(258).
-890
Let l(v) = -3*v**2 + 190*v - 351. What is l(5)?
524
Let s(a) = -a**3 - 6*a**2 - 76*a - 24. Give s(-8).
712
Let v(q) = -4*q**3 - 9*q**2 - 49*q + 104. Determine v(-5).
624
Let p(k) = k**3 - 52*k**2 - 465*k - 1003. Give p(60).
-103
Let g(p) = -p**3 - 36*p**2 + 1805*p + 36193. Give g(-17).
17
Let h(o) = 13*o**2 - 1100*o - 6975. Determine h(-6).
93
Let z(v) = -v**2 - 284*v - 18241. Give z(-73).
-2838
Let z(l) = -133175*l - 9055905. Calculate z(-68).
-5
Let d(o) = 19567*o - 684888. What is d(35)?
-43
Let l(v) = 4*v**3 + 271*v**2 + 3675*v - 6. Give l(-49).
-6
Let p(b) = 2*b**2 + 5514*b - 11. Give p(0).
-11
Let o(k) = 2*k**3 - 244*k**2 + 2418*k + 10. Give o(11).
-254
Let i(m) = 119*m**2 + 60*m - 6. Determine i(0).
-6
Let q(h) = -134*h**2 + 350*h + 73. Calculate q(3).
-83
Let d(z) = 4*z**2 - 2*z - 189. Calculate d(7).
-7
Let z(j) = -933*j - 12152. What is z(-13)?
-23
Let b(i) = 2111*i - 1469. Give b(2).
2753
Let j(b) = -218*b**3 - 1527*b**2 - 72*b - 470. Determine j(-7).
-15
Let k(i) = i**3 + 98*i**2 - 182*i + 448. Determine k(-100).
-1352
Let n(c) = 5*c**3 - 775*c**2 - 775*c - 781. Calculate n(156).
-1
Let y(h) = -3*h**3 + 332*h**2 + 169*h - 8884. What is y(111)?
-2446
Let v(r) = r**2 - 5441*r + 1198530. Determine v(230).
0
Let u(t) = -2241*t - 1386. What is u(0)?
-1386
Let u(r) = 3766*r + 45020. Give u(-12).
-172
Let f(r) = 2*r**3 + 78*r**2 + 278*r - 144. What is f(-35)?
-74
Let p(v) = 2756*v + 1580. What is p(-1)?
-1176
Let q(s) = 21*s**3 - 482*s**2 - 44*s + 472. Give q(23).
-11
Let k(n) = 2*n**3 + 187*n**2 - 122*n - 2581. Determine k(-94).
51
Let z(o) = o**3 + 2*o**2 + 209*o + 423. Give z(-2).
5
Let m(z) = -z**3 - 11*z**2 + 142*z + 232. Calculate m(-18).
-56
Let x(f) = -48166*f - 336978. What is x(-7)?
184
Let h(r) = -r**3 - 10*r**2 + 2264*r + 13732. What is h(-6)?
4
Let r(z) = -4*z**2 - 430*z + 33133. Give r(52).
-43
Let y(p) = -241*p + 2825. Give y(11).
174
Let v(a) = -3*a**3 - 243*a**2 - 1964*a + 197. Determine v(-8).
1893
Let a(s) = -33198*s - 4083335. Calculate a(-123).
19
Let o(c) = -3*c**3 + 2092*c**2 - 93506*c + 96. Determine o(48).
0
Let h(g) = 11*g**3 + 3*g**2 - 160*g + 854. What is h(5)?
1504
Let p(b) = 120561*b + 15. What is p(0)?
15
Let g(k) = -k**2 - 322*k + 43766. Calculate g(103).
-9
|
{
"pile_set_name": "DM Mathematics"
}
|
10)
Let s(k) be the first derivative of k**4 - 4996*k**3/3 + 778750*k**2 + 1562500*k - 6395. Factor s(x).
4*(x - 625)**2*(x + 1)
Let d = -6121049/19 + 322161. Determine a, given that -2/19*a**4 + 0*a + 0 - 8/19*a**2 + d*a**3 = 0.
0, 1, 4
Let m(i) be the second derivative of -i**7/3780 - i**6/40 - 11*i**4/12 + 18*i + 6. Let g(z) be the third derivative of m(z). Factor g(n).
-2*n*(n + 27)/3
Let v(z) be the first derivative of 28/9*z**3 + 2/45*z**5 - 22 - 68/9*z**2 - 11/18*z**4 + 80/9*z. Let v(s) = 0. Calculate s.
2, 5
Determine k so that -356*k**3 - 56*k**2 - 160 + 253*k**3 + 212*k + 107*k**3 = 0.
1, 5, 8
Let x be (-1)/((-4)/22 - (-45)/(-660)). Find n, given that 3*n**3 - 18*n**2 + x*n + 23*n - 2 - 10 = 0.
1, 4
Let v(c) be the third derivative of -14/9*c**3 + 0*c - 53*c**2 + 1/90*c**5 - 13/36*c**4 + 0. What is o in v(o) = 0?
-1, 14
Suppose 0 = -11*c + 72 - 17. Suppose -45 = 3*h - 2*o - 41, -20 = -c*h - 2*o. Factor 0 - 1/10*p**h + 0*p.
-p**2/10
Factor 1053*o - 65*o**2 + 1696 + 244 + 60*o**2 - 93*o.
-5*(o - 194)*(o + 2)
Let q(p) be the third derivative of -2*p**7/525 - 2*p**6/5 - 58*p**5/25 - 86*p**4/15 - 38*p**3/5 + 4*p**2 - 61*p. Find v, given that q(v) = 0.
-57, -1
Suppose 0 = 5*j + x - 6180, j - 2*x - 3708 = -2*j. Let f = j - 4943/4. Let -f*z + 3/4*z**3 - 1/2 + z**2 = 0. What is z?
-1, 2/3
Let z(i) be the first derivative of 11*i**3/4 - 15*i**2/8 - 9*i/2 - 133. Determine l, given that z(l) = 0.
-6/11, 1
Let n(z) be the first derivative of z**6/1620 - 2*z**5/135 + 4*z**4/27 - 35*z**3/3 + 51. Let h(v) be the third derivative of n(v). Solve h(i) = 0.
4
Let q(c) be the third derivative of 0*c - 2 + 8*c**2 + 7/6*c**3 + 11/24*c**4 + 1/80*c**5. Determine z so that q(z) = 0.
-14, -2/3
Let i(j) = 5*j**2 - 13*j + 494. Let v(w) = -4*w**2 + 8*w - 493. Let g(x) = -7*i(x) - 8*v(x). Find s, given that g(s) = 0.
-9, 18
Suppose m - 3*k - 48 = -59, -3*k = -2*m - 7. Let g(d) be the second derivative of -5/6*d**3 + 5/24*d**m + 0 - 15/4*d**2 + 8*d. Let g(r) = 0. What is r?
-1, 3
Let t be 8/12 + 28/252. Let o = 1582/3 - 527. Solve -o*k**3 + 14/9*k**2 - t*k - 4/9 = 0.
-1/3, 1, 4
Let n(p) be the second derivative of p**6/90 - 13*p**5/30 + 193*p**4/36 - 52*p**3/3 + 24*p**2 + 57*p + 13. Factor n(m).
(m - 12)**2*(m - 1)**2/3
Let v(r) = -26*r**3 - 1447*r**2 - 67653*r - 129600. Let m(k) = -12*k**3 - 724*k**2 - 33828*k - 64800. Let o(h) = 9*m(h) - 4*v(h). What is c in o(c) = 0?
-90, -2
Suppose 125 = 5*q - 0*a + 5*a, 10 = 5*a. Let o = q - 20. What is s in 142*s - s**3 - 142*s - o*s**2 = 0?
-3, 0
Suppose -2*l + 132 = 9*l. Suppose 8*y + l - 4 = 0. Let n(x) = x**3 - x**2 - x. Let r(q) = 5*q**3 - 11*q**2 - 2*q. Let a(g) = y*r(g) - 4*n(g). Factor a(m).
-3*m*(m - 2)*(3*m + 1)
Let b(w) be the third derivative of -343/24*w**4 - 7/40*w**6 - 19*w**2 + 49/20*w**5 + 0 + w + 1/210*w**7 + 0*w**3. Factor b(l).
l*(l - 7)**3
Let s(r) = -25*r**2 - 165*r - 270. Let q = -166 + 163. Let d(f) = 8*f**2 + 55*f + 90. Let b(x) = q*s(x) - 10*d(x). Factor b(z).
-5*(z + 2)*(z + 9)
Let j(b) = 4*b - 38. Let z be j(10). Find a such that -12*a + 45*a**4 - 20*a**z + 12*a**3 - 143*a**4 + 51*a**4 + 16 + 51*a**4 = 0.
-4, -1, 1
Let k(h) = h**2 - 11*h - 42. Let g be k(17). Factor -g*o**3 - 51*o**4 - 141*o**2 + 266*o**2 - 137*o**2 - 12*o**5.
-3*o**2*(o + 2)**2*(4*o + 1)
Solve 12/5*w**3 + 186*w - 267/5*w**2 - 216/5 = 0 for w.
1/4, 4, 18
Factor 4*f**2 - 25 + 5*f + 21*f**2 - 19*f**3 + 14*f**3.
-5*(f - 5)*(f - 1)*(f + 1)
Let m(i) be the first derivative of 3*i**4/2 - 247*i**3 + 11346*i**2 + 11532*i + 5604. Let m(a) = 0. Calculate a.
-1/2, 62
Let p be (-6)/48*11072/(-9688). Factor -18/7 + p*b**3 - 3*b - 2/7*b**2.
(b - 6)*(b + 1)*(b + 3)/7
Let k(u) be the first derivative of -3*u**5/5 - 24*u**4 + 114*u**3 + 432*u**2 - 2835*u - 10197. What is f in k(f) = 0?
-35, -3, 3
Let n be (-532)/175*-5 + 4/5. Let y(c) = 3*c - 43. Let w be y(n). Let 33*u - 25 + u**3 - 10*u**2 - 5*u**3 + w*u**3 - 11 = 0. What is u?
3, 4
Factor
|
{
"pile_set_name": "DM Mathematics"
}
|
4 for x.
-2
Suppose -5*d + 3*f = 2 - 0, 5*d - 14 = -f. Let g(p) = p + 7. Let o be g(-7). Solve o = -d*x - 2*x for x.
0
Suppose 21*u - 19*u - 52 = 0. Solve h - 29 = -u for h.
3
Suppose g + 97 = -5*z, -2*z = -3*g + 58 - 9. Let p be ((-30)/z)/(1/2). Solve y + 2*y + p = 0 for y.
-1
Suppose 2*v + 4*t = 64, -t = 22 - 27. Solve -2*o - v*o - 48 = 0 for o.
-2
Let d = -23 + 38. Suppose -d = -2*b - b. Solve b*i - 6 = 14 for i.
4
Let g = -259 + 263. Solve -2*i + g = -4*i for i.
-2
Let y = 45 - 36. Let f = y + -6. Solve -h = f*h + 4 for h.
-1
Let z be ((-1)/(-5) - 0)/((-20)/(-100)). Solve 6*u + 5 = -z for u.
-1
Let u(c) = 24*c**3 + 1. Let q be u(1). Let l(w) = -w - 23. Let p be l(0). Let h = q + p. Solve -h = 5*s - 22 for s.
4
Let g(n) = -2*n**2 + 22*n - 12. Let j be g(8). Suppose 4*o + o = -c + j, -4*c - 24 = -o. Solve -o = -4*w + 4 for w.
3
Let g = 77 - 77. Solve -8*y + 8 = -g for y.
1
Let p(c) = -c**2 + 50*c - 139. Let y be p(47). Suppose 4*l - 20 = -l. Suppose -2*w - w - l = -4*d, -y*d = -2. Solve w = 6*v - v + 25 for v.
-5
Let u(j) = -j**2 + 2*j - 1. Let t be u(4). Let b be 1 - ((-14)/77 - t/(-11)). Solve 0 = -b*d + 7 + 3 for d.
5
Suppose 0 = 29*f - 7 - 312. Solve f = -12*m - 13 for m.
-2
Let o = -25 - -28. Solve -12 + 9 = o*q for q.
-1
Suppose 4*r + 9 - 21 = 0. Let c be 2/4*(r - -7). Solve 0 = c*n + 8 + 12 for n.
-4
Let k = 3 - 1. Suppose -k*x - 8 = -t, -3*t + 5*x + 18 = -3. Solve -2 = t*o - 4 for o.
1
Let f be (2 + 1)*7/(-3). Let h be -3*12/9 - f. Solve h*l - l = 0 for l.
0
Let h be (-2 - (-32)/14)*7. Solve g - h = -0*g for g.
2
Suppose 0 = -v - 3*v + 2*v. Suppose v = 2*t - 3*t + 10. Solve 4*b = 6*b + t for b.
-5
Let n(s) = s**3 + 12*s**2 - s. Let x be n(-12). Suppose 4*z - x + 0 = 0. Suppose -z*k + 6*k = 0. Solve -r + 2 - 4 = k for r.
-2
Let c be ((-120)/(-150))/(-2 - (-24)/10). Solve -c - 10 = -4*a for a.
3
Let g be ((-32)/24)/(2/(-3)). Suppose -g*p + 0*c + 13 = c, 2*p - 9 = 3*c. Suppose p*n = n. Solve n = -5*i + 2*i - 6 for i.
-2
Let d(l) = -l**3 - 16*l**2 + l + 18. Let p be d(-16). Solve 8 = -0*z - p*z for z.
-4
Let y(b) = b**3 - 4*b**2 + 4*b. Let z be y(3). Let w = 23 - 44. Let k be -18*(-3 - w/9). Solve 3*u = -z + k for u.
3
Suppose -3*f + 24 = -21. Let b(i) = 5*i - 9. Let m be b(3). Solve a = m*a + f for a.
-3
Suppose 0 = -5*h - y + 21 - 5, 4*h = 2*y + 24. Solve 2*w = h*w + 8 for w.
-4
Suppose 0 = 7*r - 117 - 72. Solve -11 = -8*c - r for c.
-2
Let v be 1*-4*19/(-4). Suppose 3*x = -4*r - 18 - 26, -v = 3*x - r. Let s be (68/x)/(3/(-6)). Solve 1 = 4*t + s for t.
-4
Let u(s) = -s**3 + 6*s**2 - 3*s - 5. Let m be u(5). Suppose 0*i - 30 = -m*i. Suppose n = 5*n + 2*b - 16, 0 = -4*n + 3*b + i. Solve n*o - 5 = 10 for o.
5
Suppose r + 13 = 3*u + 1, u + 3*r = 14. Suppose 29 = u*h + 4*f, h - 1 = 2*f + 2*f. Solve -4 + 19 = h*p for p.
3
Let n be -5*(-1 - (-4)/10). Solve -2*a = -n - 7 for a.
5
Suppose 0 = -5*h + 2*h - 6. Let t be (-1)/h - 12/(-8). Solve 3 + 5 = t*z for z.
4
Suppose 3*f - 13 = x, -3*f - x + 35 = 2*f. Suppose -14 = 5*w - 4*v + f*v, -4*v - 4 = -2*w. Let g be (0 + 3 + -4)*w. Solve -g*i - 6 = i for i.
-2
Let n(z) = z**3 + 4*z**2 - z - 1. Let h = 10 + -7. Suppose 2*v + 4 = 0, -2 = -3*f + h*v - 5. Let q be n(f). Solve 0 = -2*g + 1 - q for g.
-5
Let k(h) = -h**3 + 6*h**2 + 8*h + 2. Let y be k(7). Solve -y*m - 65 = 4*m for m.
-5
Let o(m) = -4*m + 31. Suppose -8*a + 13*a - 35 = 0. Let r be o(a). Let n be ((-26)/(-4))/((-3)/(-6)). Solve n + r = -4*q for q.
-4
Suppose 25 + 0 = 25*g. Solve g = 4*n + 21 for n.
-5
Let y(q) = -q**2 - 3*q + 3. Let d(f) = f - 1. Let j(c) = -7*d(c) - 2*y(c). Let r be j(1). Solve r = -b - 2 for b.
-4
Suppose -3*a = -3*p + 3, a + 4*a = -4*p - 50. Suppose 0 = o + 2*o - 24. Let i be (-25)/(-2)*(a + o). Solve -i = t + 4*t for t.
-5
Let a(i) = i**3 - 5*i**2 - 4*i + 1. Let r be a(6). Suppose 5*m = 2 + r. Solve -18 = -m*s - 6 for s.
4
Let n = 28 + -23. Suppose -3*w + 8 - n = 3*y, 5*w = -4*y. Solve y*o + 0*o = 5 for o.
1
Let d(i) be the first derivative of -i**4/4 - 7*i**3/3 + i**2/2 + 10*i - 2. Let v be d(-7). Let k =
|
{
"pile_set_name": "DM Mathematics"
}
|
when o is divided by r?
6
Suppose 8*f - 408 = 2*f. Calculate the remainder when f is divided by 6.
2
Let h(t) = -3*t**3 - 2*t**2 + t - 1. What is the remainder when 24 is divided by h(-2)?
11
Let j(r) = -r**2 - 12*r + 11. Let u(n) = n - 3. Let g be u(-8). Calculate the remainder when 85 is divided by j(g).
19
Suppose 0 = 4*o - 5*j + 5, 2*o + 4*j = 44 - 14. Calculate the remainder when o is divided by 3.
2
Suppose 3*b - 4*t - 119 = 0, 41 = 5*b - 3*b + 5*t. What is the remainder when b is divided by 12?
9
Suppose 3*g - 2*v + 6 = -g, 4*g + v - 3 = 0. Let d be g/2 + -2 + 7. Suppose -6 = -j + d*k, j - 3*k = 2*j - 30. What is the remainder when 61 is divided by j?
19
Let z(c) = c**2 - 17*c - 14. What is the remainder when 12 is divided by z(18)?
0
Let g(m) = -4 + 28*m + 8*m**2 + 3 - 26*m. What is the remainder when g(-2) is divided by 14?
13
Suppose -3*q = 3*i + 2*q + 19, -2*i - 2*q - 6 = 0. Suppose 12 = 2*f + i. Let g = f + 2. What is the remainder when g is divided by 3?
1
Suppose -2*s + 5 = 2*s - 3*k, 4 = 4*k. Let z = 11 - s. What is the remainder when 25 is divided by z?
7
Let b(w) = -w**3 - 5*w**2 - 5*w + 3. Let p be b(-5). Suppose 0 = 2*y + 6 - p. What is the remainder when y is divided by 3?
2
Suppose -3*m = m - 2*h - 86, -4*h = 2*m - 28. Calculate the remainder when m is divided by 13.
7
Suppose -5*p - 20 = -0*p. What is the remainder when ((-88)/55)/(p/30) is divided by 7?
5
Suppose -4*x + 2*a - 5 = 1, x + 14 = 3*a. Let r(t) = -2 + 15*t + 1 - t. Calculate the remainder when r(x) is divided by 8.
5
Suppose -4*y + 21 - 1 = 0. Suppose -2*d - 4*x + 22 = 0, d - 4*x - 14 = 3. Calculate the remainder when d is divided by y.
3
Let i(d) = -3*d + 39. Calculate the remainder when i(-15) is divided by 17.
16
Suppose 2*x - x = -5*v + 30, 0 = 3*x. Let l = -1 - -1. Suppose l = -0*b + 4*b - 44. Calculate the remainder when b is divided by v.
5
Let w(c) = -c**3 + 2*c**2 - 2*c. Let r be w(-3). Suppose 3*h - 2*a = a + r, 3*a = h - 11. Calculate the remainder when h is divided by 4/14 + 47/7.
6
Let i(n) = 5*n - 36. Calculate the remainder when i(19) is divided by 20.
19
Let q = -3 + 10. Suppose -4*u + 60 + 40 = 0. Suppose u - 9 = 4*l. What is the remainder when q is divided by l?
3
Let g be (3 - 0)/(0 + 1). Suppose 2*n = -2*i - 2, -7 = -5*n - g*i + i. What is the remainder when 3 is divided by n?
0
Suppose 5*k - 21 = -v, 0 - 17 = 3*v - 5*k. Suppose 5*p + 10 = -5*y, 0*y + y - 4*p - 13 = 0. Let f = v + y. Calculate the remainder when 4 is divided by f.
0
Let r be (-13)/2 + 2/4. Let w = 11 - r. Suppose 99 = -q + 4*q. What is the remainder when q is divided by w?
16
Let i(r) = -5*r + 6. Suppose 2*a + 23 = 5*a - 4*h, 0 = 3*a - h - 35. What is the remainder when i(-6) is divided by a?
10
Suppose -4*b + 14 + 26 = 0. Let v(j) = j**2 + 5*j + 3. Suppose o + 1 = 5. Calculate the remainder when v(o) is divided by b.
9
Suppose -4*g = 16, 5*p - 62 = g + 102. Let n = 35 + -24. What is the remainder when p is divided by n?
10
Suppose -5*u + 19 = w, 0*w - 3*w + 111 = -3*u. What is the remainder when 62 is divided by w?
28
Suppose -2*l = -n - 15, 4*l - n - 7 = 3*l. Calculate the remainder when 29 is divided by l.
5
Let l = 17 + -15. What is the remainder when l/(-4) + (-245)/(-14) is divided by 5?
2
Let p = -16 + 19. What is the remainder when 7 is divided by p?
1
Let b(l) be the second derivative of 5*l**4/4 - l**3/6 + 3*l. Let n = 109 - 78. What is the remainder when n is divided by b(-1)?
15
Let l = -3 + 29. What is the remainder when 76 is divided by l?
24
What is the remainder when 9/((-90)/32)*-5 is divided by 9?
7
Let c be 0/(0 + 0 + 2). Calculate the remainder when ((-1)/1)/(3/(-39)) is divided by 9 - (-2 + 4 + c).
6
Let k = 80 + -2. What is the remainder when k is divided by 40?
38
What is the remainder when (-44)/(-2) + -3*(-3)/(-9) is divided by 6?
3
Suppose -2*t = -5 + 1. Suppose 3*p - 29 = t*p. What is the remainder when p is divided by 10?
9
Let w = -30 + 48. Calculate the remainder when w is divided by 10.
8
Let v(t) = -t**2 + 8*t - 7. Let f be v(6). Suppose -4*u = -5*d - 67, 0 = -f*d - 20 + 5. What is the remainder when 24 is divided by u?
11
Calculate the remainder when (-420)/24*-2*1 is divided by 9.
8
Let m(i) = 0*i + 10 - i - 1. Let t(u) = -2*u**3 - 3*u**2 - 2*u. What is the remainder when t(-3) is divided by m(0)?
6
Let c be 2/(-5) + 4/10. Let y be (0/(-2))/(c + 1). Suppose y*a - 3*a + 111 = 0. Calculate the remainder when a is divided by 13.
11
Let b = 45 - 40. What is the remainder when 7 is divided by b?
2
Suppose -8*h + 4*h = -8, -3*t + h + 106 = 0. What is the remainder when t is divided by 13?
10
Suppose -2*k + 16 = -w - 3*w, 3*k - 4*w - 18 = 0. Let l(z) = 7*z - 3. Calculate the remainder when 42 is divided by l(k).
9
What is the remainder when (14/6 - 2)/((-6)/(-1098)) is divided by 11?
6
Let k(w) = 54*w + 1. Suppose -4*f = -3 - 1. Suppose -88 = -3*c - 31. Calculate the remainder when k(f) is divided by c.
17
Let f = 9 + 17. What is the remainder when f is divided by 9?
8
Let y(l) = -l**3 + 10*l**2 - 8*l + 27. What is the remainder when 67 is divided by y(9)?
31
Let d = 14 - 5. Suppose -f + 60 = 4*x, f - 45 = -3*x + 2*f.
|
{
"pile_set_name": "DM Mathematics"
}
|
is the least common multiple of 198 and 93049?
1674882
Calculate the smallest common multiple of 183 and 883.
161589
Calculate the common denominator of -56/3903 and 107/62448.
62448
What is the common denominator of -7/30 and -2/63387?
633870
What is the common denominator of 87/112 and 119/47184?
330288
What is the least common multiple of 237633 and 885723?
9742953
What is the smallest common multiple of 5117 and 7?
5117
Calculate the least common multiple of 7 and 963599.
963599
What is the common denominator of -121/141740 and 51/380?
141740
Calculate the smallest common multiple of 136486 and 12.
818916
Calculate the least common multiple of 4 and 88.
88
Calculate the common denominator of 27/4 and -65/865212.
865212
Find the common denominator of -139/5718 and -47/3502.
10012218
What is the common denominator of -55/24 and -83/255472?
766416
Find the common denominator of -43/60129 and -53/30.
601290
Calculate the common denominator of 14/243 and -137/4212.
12636
What is the smallest common multiple of 18 and 1960128?
1960128
Calculate the common denominator of 61/24 and -39/251552.
754656
Find the common denominator of -31/300 and -151/17340.
86700
What is the common denominator of -49/50 and -32/7035?
70350
What is the common denominator of -5/4293 and 34/10017?
30051
What is the common denominator of -51/17912 and -4/15673?
125384
What is the common denominator of -109/5394 and 131/330?
296670
Calculate the common denominator of 23/35 and 113/1158045.
1158045
What is the smallest common multiple of 7932 and 2?
7932
What is the least common multiple of 720 and 17595?
281520
Find the common denominator of -68/425607 and 73/51447.
4681677
What is the common denominator of -75/5096 and -1/4312?
56056
Calculate the common denominator of 67/240 and 131/2910.
23280
Calculate the lowest common multiple of 10 and 56605.
113210
What is the common denominator of -61/3015 and -51/225790?
2032110
Find the common denominator of -167/30330 and -103/12.
60660
Find the common denominator of 62/1173159 and 35/351.
3519477
What is the common denominator of -13/432 and 109/1104?
9936
What is the common denominator of -47/1981 and -10/4711?
1333213
What is the least common multiple of 840 and 224?
3360
What is the common denominator of 73/396 and -155/2772?
2772
What is the common denominator of -8/14189 and -43/26351?
184457
Calculate the common denominator of -46/101225 and -61/55.
1113475
Find the common denominator of -89/36540 and -19/52.
475020
Calculate the common denominator of 17/13941 and -6/7.
97587
Find the common denominator of -13/66 and -127/19635.
39270
Calculate the smallest common multiple of 440 and 9350.
37400
Calculate the common denominator of 13/49732 and -89/18.
447588
Calculate the smallest common multiple of 272 and 888.
30192
What is the common denominator of 145/5898 and 107/1908?
1875564
What is the lowest common multiple of 23700 and 1932?
3815700
Calculate the smallest common multiple of 410 and 17630.
17630
What is the least common multiple of 6 and 22208?
66624
What is the common denominator of 22/1515 and -33/2?
3030
Find the common denominator of -77/15 and -59/36549.
182745
What is the common denominator of -19/231417 and 95/18?
462834
Calculate the smallest common multiple of 42810 and 42810.
42810
Calculate the common denominator of 77/1270196 and 87/8.
2540392
Calculate the common denominator of 71/35448 and -69/22.
389928
Calculate the lowest common multiple of 87306 and 2008038.
2008038
Calculate the common denominator of -51/1672 and -75/3212.
122056
Calculate the smallest common multiple of 86428 and 10540.
432140
Calculate the lowest common multiple of 1712 and 32956.
131824
What is the common denominator of 25/4224 and -103/66?
4224
Calculate the lowest common multiple of 29183 and 663250.
7295750
Find the common denominator of -71/1070 and -51/119198.
595990
Calculate the smallest common multiple of 331695 and 19845.
2321865
Calculate the common denominator of 29/3960 and -29/21186.
423720
Find the common denominator of -51/37790 and -69/16.
302320
What is the lowest common multiple of 3944 and 34?
3944
What is the common denominator of -97/458 and -43/2519?
5038
Calculate the common denominator of -55/432 and 77/432.
432
Find the common denominator of 26/5055 and 17/447.
753195
What is the least common multiple of 1023510 and 40?
4094040
Find the common denominator of -19/8141 and -23/49.
56987
What is the lowest common multiple of 312 and 4235?
1321320
Calculate the common denominator of -4/105 and 9/3080.
9240
Calculate the lowest common multiple of 624 and 168.
4368
Calculate the common denominator of -151/9570 and -137/660.
19140
Calculate the lowest common multiple of 7179 and 3.
7179
Calculate the smallest common multiple of 8478 and 41448.
373032
What is the least common multiple of 35 and 31115?
31115
Find the common denominator of -64/108825 and 22/141.
5114775
What is the common denominator of -49/46115 and -61/25?
230575
What is the smallest common multiple of 16 and 4433134?
35465072
Calculate the common denominator of -113/738 and -20/441.
36162
What is the lowest common multiple of 12 and 46670?
280020
What is the common denominator of 75/2 and -44/24577?
49154
Calculate the least common multiple of 471360 and 4480.
6599040
What is the common denominator of -79/90 and -73/127338?
1910070
Calculate the lowest common multiple of 26250 and 22500.
157500
What is the least common multiple of 8385 and 60?
33540
Calculate the smallest common multiple of 2979 and 18205.
163845
What is the common denominator of -23/5480 and -77/24660?
49320
Find the common denominator of -61/307610 and -103/6.
922830
Calculate the smallest common multiple of 36724 and 2.
36724
Calculate the lowest common multiple of 3712 and 40.
18560
Calculate the least common multiple of 10116 and 111276.
111276
What is the common denominator of -121/1680 and -103/280?
1680
Find the common denominator of 41/1320 and 13/14540.
959640
Calculate the common denominator of -6/1295 and 26/1631.
301735
What is the smallest common multiple of 3290 and 343805?
687610
Find the common denominator of 21/11873 and 19/94984.
94984
What is the least common multiple of 2835 and 2268?
11340
What is the common denominator of -50/203 and 64/42195?
295365
Calculate the smallest common multiple of 4776 and 7950.
6328200
Find the common denominator of 57/16 and -131/58416.
58416
What is the smallest common multiple of 8 and 116590?
466360
What is the least common multiple of 21 and 986349?
986349
What is the common denominator of -16/10165 and 54/209?
111815
Find the common denominator of 125/24 and -95/444.
888
Calculate the common denominator of -35/40624 and -105/55858.
44
|
{
"pile_set_name": "DM Mathematics"
}
|
*1. Let t = -20 - s. Let g(l) = -l + 3. What is g(t)?
3
Let l(w) = -2*w**2 + w - 1 + 3*w**2 + 2*w**3 + 0*w. Suppose o = -t, -3*o + 2 = -t - 2. Calculate l(o).
3
Let l(h) = -h**2 - 34 + 35 - h**2 - 3*h. Let d be (6/(-8))/(6/24). Calculate l(d).
-8
Let r(u) = 2*u + 6. Suppose -3*w + 4 = -w. Let d be 1 + w + (-6 - 1). Let h be (4 - -1)*d/5. Calculate r(h).
-2
Let d(s) = s**2 + 6*s + 1. Let z = 8 - -7. Let m = 8 - z. Let k(l) = l**3 + 8*l**2 + 6*l - 10. Let c be k(m). What is d(c)?
-8
Let m(i) = -i**3 + 2*i**2 - 2*i + 1. Let l(w) be the third derivative of -w**6/60 + w**5/15 - 5*w**4/24 + w**3/2 + w**2. Let f(p) = 2*l(p) - 5*m(p). Give f(3).
10
Let x = 3 + 0. Suppose 0*j + 10 = 2*j - 2*c, x*c = j - 5. Let d = j + 0. Let n(p) = -p + 7. Determine n(d).
2
Let o(b) = -b - 9. Let w be o(-9). Let x(l) = -l**3 - l**2 - l - 8. Determine x(w).
-8
Suppose o - 5 = 0, -4*u + 7 = -5*o + 32. Suppose u = 3*i - 0*i. Suppose 6*d - d + 5 = i. Let s(g) = 2*g**2 - 2*g - 1. Determine s(d).
3
Suppose 0 = 6*z - 4*z + 12. Let b(n) = n**3 + 6*n**2 - n - 4. Give b(z).
2
Suppose 2*v = -2*q + 6, q = 5*v - 0*q + 3. Let s(f) = -f + 0*f + 0*f + 4 + v*f. Determine s(4).
0
Let u(o) = 3 + 2 + 0*o - 6 - o. What is u(4)?
-5
Let c(b) = b**2 - 4*b + 5. Let p = -1 + 6. Let t = p - 7. Let r = t - -6. Calculate c(r).
5
Let o = 35 + -20. Let h be ((-3)/o)/((-2)/10). Let k(t) = 2*t + 1. Calculate k(h).
3
Let t(q) = q**2 + q + 3. Let k(c) = c**2 - c. Let o(d) = 2*k(d) + t(d). Let a(v) be the first derivative of o(v). Calculate a(-1).
-7
Suppose -4*q + 4*l = -40, -9*q + 5*q = 3*l - 5. Let c(n) = n**3 - 6*n**2 + n + 3. Determine c(q).
-17
Let j(m) = -3*m**3 + 0*m**3 + 3*m**2 - 2 + 2*m**3 + 0*m**3 + 5*m. Give j(4).
2
Let o(p) = p**3 + 5*p**2 + 2*p - 3. Suppose -2*r - 3*q = 2, 3*q + 4 = 3*r + 22. Calculate o(r).
5
Let n(h) = 3*h**2 - h - 3. Let j(d) = -d**2 + d + 1. Let o(b) = 2*j(b) + n(b). Calculate o(-2).
1
Let q(c) = c**3 - 9*c**2 + c - 2. Suppose -5*l - 2*v = -49, -3 + 14 = l + v. Determine q(l).
7
Let v(d) = -104*d + 2 + 103*d - 3. Determine v(-2).
1
Let g(c) = -3*c**3 + 7*c**2 - 9*c + 2 - 12 + 7*c**3 - 3*c**3. Calculate g(-8).
-2
Let m(l) be the second derivative of -l**4/12 + 5*l**3/6 + 3*l**2/2 + 21*l. Calculate m(5).
3
Suppose 0 = -5*i - 0*i + 15. Let l(y) be the first derivative of i*y**2 - 1/3*y**3 - 2*y + 1. Calculate l(6).
-2
Let x(j) be the first derivative of 1/60*j**5 + 1/2*j**3 - 3 + 1/2*j**2 - 1/8*j**4 + 0*j. Let c(w) be the second derivative of x(w). Determine c(4).
7
Let q(k) = k**2 - 4*k + 2. Let s be (-2)/2*(-4 - -1). Suppose -2*v = -s*v - 4*t - 3, -v + 9 = -2*t. Give q(v).
7
Let a(g) = 0*g**3 + 2*g + 13 - 11 + 8*g**2 + 9 + g**3. Calculate a(-8).
-5
Suppose -4*r + 7*r - 18 = 0. Let y(z) = z**3 - 7*z**2 + 4*z - 5. Calculate y(r).
-17
Let j = -28 - -17. Let s(t) = -7*t + 8. Let z(k) = -13*k + 15. Let b(p) = j*s(p) + 6*z(p). Calculate b(3).
-1
Let z(c) = -3*c + 6. Let x(d) = 5*d - 9. Let p(a) = -5*x(a) - 8*z(a). Give p(-6).
3
Let t(f) be the second derivative of f**3/6 + 3*f**2/2 + f. Let q = -95 + 92. Determine t(q).
0
Let g(p) be the second derivative of p**5/10 - p**4/4 + p**3/6 + p**2 + 8*p. Let b(f) = f**3 + 4*f**2 - 5*f + 2. Let t be b(-5). What is g(t)?
8
Let n(a) be the second derivative of a**5/10 + a**4/6 + a**3/2 + 3*a**2/2 + 2*a. Calculate n(-2).
-11
Let a(n) be the first derivative of -3*n**2 + n + 2. Give a(-1).
7
Suppose 40 = 5*c + 3*b, -2*b = -4*c - 4*b + 32. Suppose 0 = 5*a + c + 12. Let h(l) = l**3 + 5*l**2 + 4*l - 5. Determine h(a).
-5
Let g(x) = -x**3 - 8*x**2 + 3*x - 4. Suppose 3*s = -3*b + 12, b = -3*s + 1 + 5. Let q(u) = u**2 - u. Let o(j) = s*g(j) + 5*q(j). Give o(-3).
2
Let h(m) be the third derivative of -m**2 + 0*m + 1/24*m**4 + 1/2*m**3 + 0. What is h(-6)?
-3
Suppose 2*s - y = -5*y + 18, 3*y = 2*s + 10. Suppose r - 2*r = s. Let g(c) = -28*c + 3. Let f(l) = 9*l - 1. Let j(u) = 7*f(u) + 2*g(u
|
{
"pile_set_name": "DM Mathematics"
}
|
ext term in -1823, -5472, -11031, -18512, -27927, -39288?
-52607
What is the next term in -205633, -205621, -205601, -205573?
-205537
What is next in 11669, 11904, 12251, 12710, 13281, 13964?
14759
What is the next term in -366, -1224, -2570, -4404, -6726, -9536, -12834?
-16620
What is next in 78917, 157556, 236213, 314888, 393581?
472292
What comes next: -121134, -969292, -3271438, -7754568, -15145678, -26171764?
-41559822
What comes next: 2646, 5368, 8194, 11130, 14182, 17356, 20658?
24094
What is the next term in -1121670, -1121688, -1121706, -1121724, -1121742, -1121760?
-1121778
What is the next term in 160317, 320585, 480805, 640971, 801077, 961117, 1121085?
1280975
What is next in -47951, -95755, -143559, -191363, -239167?
-286971
What is next in -267, -646, -1229, -2118, -3415?
-5222
What is next in -1084506, -1084508, -1084510?
-1084512
What is next in 180626, 361278, 541960, 722666, 903390, 1084126, 1264868, 1445610?
1626346
What is the next term in 8040597, 32162373, 72365333, 128649477, 201014805, 289461317, 393989013?
514597893
What comes next: 79725, 80396, 81071, 81750, 82433?
83120
What is next in -117128, -227751, -338362, -448955, -559524?
-670063
What is the next term in 514, 1429, 2756, 4507, 6694, 9329, 12424, 15991?
20042
What is the next term in 29232, 116659, 262288, 466119, 728152, 1048387?
1426824
What is next in -14961, -28470, -41989, -55524, -69081, -82666?
-96285
What is next in 636211080, 1272422159, 1908633238, 2544844317, 3181055396?
3817266475
What is the next term in -2162911, -4325754, -6488597, -8651440, -10814283?
-12977126
What comes next: -933173, -1866263, -2799355, -3732449, -4665545?
-5598643
What is the next term in -2679749, -10719001, -24117755, -42876011, -66993769, -96471029?
-131307791
What comes next: -9469, -27828, -46189, -64552, -82917, -101284, -119653?
-138024
What is the next term in -10986, -22043, -33164, -44349, -55598?
-66911
What comes next: 392440, 392491, 392542, 392593, 392644, 392695?
392746
What is next in 102085, 96083, 90081?
84079
What is the next term in -10669, -21252, -31827, -42394, -52953?
-63504
What comes next: -4895, -19466, -43809, -77972, -122003, -175950, -239861, -313784?
-397767
What comes next: 71706, 286839, 645388, 1147353, 1792734, 2581531?
3513744
What is the next term in -10003, -23673, -37341, -51007, -64671?
-78333
What comes next: -18099, -32833, -47567, -62301, -77035?
-91769
What comes next: 29780601, 59561206, 89341811, 119122416?
148903021
What comes next: 40277535, 80555066, 120832597?
161110128
What comes next: 5086, 5201, 5316?
5431
What is the next term in 164, 843, 1984, 3587, 5652, 8179, 11168?
14619
What comes next: -49029, -49229, -49563, -50037, -50657, -51429?
-52359
What comes next: 5123651, 10247297, 15370943, 20494589, 25618235, 30741881?
35865527
What is next in 134858619, 134858627, 134858635?
134858643
What comes next: -12041959, -24083869, -36125793, -48167737, -60209707, -72251709?
-84293749
What comes next: -277, -585, -895, -1207, -1521, -1837?
-2155
What is next in -740272, -2960945, -6662064, -11843629, -18505640, -26648097?
-36271000
What is next in 20267, 41161, 62051, 82937, 103819, 124697, 145571?
166441
What is next in 4224212, 4224095, 4223776, 4223153, 4222124, 4220587?
4218440
What is the next term in -1212017, -2424017, -3636017, -4848017, -6060017?
-7272017
What is the next term in 106361, 103164, 97835, 90374, 80781, 69056?
55199
What comes next: -1741, -2251, -3101, -4291, -5821?
-7691
What is the next term in -61611, -246436, -554501, -985824, -1540423, -2218316?
-3019521
What is the next term in 977297, 977338, 977379, 977420, 977461, 977502?
977543
What comes next: 1458584, 1458583, 1458582, 1458581?
1458580
What comes next: 396, 2897, 9646, 22767, 44384, 76621, 121602, 181451?
258292
What is next in -76, -206, -262, -244, -152, 14, 254?
568
What is the next term in -10692, -12357, -16870, -25653, -40128, -61717?
-91842
What is next in 133363, 266722, 400093, 533482, 666895, 800338, 933817, 1067338?
1200907
What is next in -2004, -2370, -2458, -2130, -1248, 326?
2730
What comes next: -408284, -408179, -408004, -407759?
-407444
What is the next term in 118, 438, 1332, 3082, 5970, 10278, 16288?
24282
What is next in 495270, 990617, 1485964, 1981311, 2476658?
2972005
What is the next term in 57603, 56788, 55973, 55158?
54343
What comes next: 1362, 798, -718, -3660, -8502, -15718, -25782?
-39168
What is the next term in -39568, -78953, -118338, -157723, -197108?
-236493
What is the next term in 139, 500, 1451, 3280, 6275, 10724, 16915, 25136?
35675
What is next in -3636, -3213, -2790?
-2367
What is next in -413, -2029, -6395, -14879, -
|
{
"pile_set_name": "DM Mathematics"
}
|
589 = -3*w. Let v = 3 - 2. Suppose 4*q - 2*x - 19 = w, v = -x. Is q composite?
False
Suppose -q + 5*l = -231, -3*q + l + 711 = 4*l. Let u(b) = 2*b + 1. Let o be u(2). Suppose z - o*z = -q. Is z composite?
False
Suppose -57 - 18 = -3*p. Let o = p - 5. Let r = o - -29. Is r prime?
False
Let l = 2 + -6. Let r be 1/l - (-3)/12. Suppose -3*p + p + 42 = r. Is p a composite number?
True
Let o = 934 + 427. Is o composite?
False
Suppose o + 2*u = 28, -4*o - u + 79 = -o. Let t = -47 + 87. Let i = t - o. Is i a composite number?
True
Suppose 5*o + 4*j = 4933, 7*j = 3*o + 3*j - 2979. Suppose 3*y - 985 = -q - 3*q, -3*y - 2*q = -o. Is y composite?
False
Is (-268 - -1)*5/(-5) prime?
False
Let d(r) = -4*r + 8. Let o(b) = -11*b + 23. Let s(k) = 8*d(k) - 3*o(k). Let m = -3 - -11. Is s(m) prime?
True
Is (-2)/4*3/((-21)/16394) a prime number?
True
Let n be 2 + -1 + (-6 - -42). Suppose -69 = -2*q + n. Is q a composite number?
False
Let o = 9 + -18. Let d be 6 + 3*6/o. Suppose -d*s + 3*c = -8*s + 1145, 5*c = 2*s - 579. Is s composite?
True
Suppose 0 = -9*v + 12*v - 3945. Is v composite?
True
Suppose 4*i + 3 = -5, -2*i = -2*k + 96. Is k a composite number?
True
Let i be 105/(-2)*(-12)/7. Suppose 0 = 7*u - 3055 + 269. Suppose -u + i = -4*z. Is z prime?
False
Let g(t) = 4*t**2 + 5*t - 8. Let l be g(-6). Is l/6*6/2 a composite number?
False
Suppose -3*i + 66 + 155 = -5*w, 2*i - 138 = w. Is i composite?
False
Suppose -o = 3*a + 18, o + 0*a - 6 = 3*a. Let c(n) = -7*n + 7 + 0*n - n. Is c(o) prime?
False
Let n be (4 - 2)*134 + -2. Let i = n - 580. Is (-1 + 2/4)*i prime?
True
Suppose 253 = -8*x + 9*x. Suppose j = h + 87, -3*j + 2*h = h - x. Is j a composite number?
False
Suppose -5*b = 4*c - 675, 2*b - 848 = -9*c + 4*c. Suppose j - c = -4*j. Is j composite?
True
Suppose 6*h + 978 - 3432 = 0. Is h prime?
True
Let a = 140 + 0. Suppose 4*b + a = 2*z, -12 = -2*z + 5*z. Let r = 114 + b. Is r a composite number?
True
Let y(c) = 1 + 44*c + 72*c - 32*c. Is y(1) a prime number?
False
Suppose -n - 50 = -133. Is n composite?
False
Let s(u) = -160*u + 3. Is s(-1) a prime number?
True
Let t(u) = -7*u + 6*u**3 - 10*u - 3*u**3 - 1 - 10*u**2 - 2*u**3. Is t(12) a composite number?
False
Let n(j) = 3*j - 1. Let s = -8 - -11. Let i be n(s). Let v = i + 15. Is v composite?
False
Let j(i) = -i**2 + 5*i - 5. Let w be j(4). Let c(b) = -2*b**2 - 1. Let x be c(w). Is ((-184)/12)/(1/x) a composite number?
True
Let q = -5 - 4. Let l(b) = -b**3 - 8*b**2 + 7*b - 12. Let f be l(q). Suppose c + f = m, 4*m = 2*c - 7*c + 60. Is m a prime number?
False
Suppose 133 = -4*o + 3*c - 4*c, -5*o = -5*c + 185. Let r(z) = -z**2 - z + 81. Let k be r(0). Let d = o + k. Is d a prime number?
True
Let y = 33 + -11. Let n = y - -105. Is n prime?
True
Suppose 0*i = 4*i + 2*g - 9260, 3*i = -5*g + 6931. Is i composite?
True
Let a(c) = -c + 4. Let f(d) = -d - 7. Let j be f(-5). Let b = j + 2. Is a(b) composite?
True
Suppose -543 = -z + 206. Is z prime?
False
Suppose -7*p + 3576 = -3893. Is p a composite number?
True
Let d(j) = 87*j**2. Is d(1) prime?
False
Is ((-1 - -6) + -2)*3678/18 a composite number?
False
Suppose -4*k = -45 + 17. Suppose -k*r + 2*r = -1615. Is r a prime number?
False
Let n(c) = 4*c**2 - 55*c - 22. Is n(23) a composite number?
False
Let y(o) = -13*o**3 + 4*o**2 - 2*o + 5. Let l be y(4). Let t = -415 - l. Suppose -5*m = -h + 89, -4*m = 4*h - 0*h - t. Is h a prime number?
True
Suppose 2*z + 30 = -3*z. Let j(x) = -x**3 - 7*x**2 - 8*x + 1. Is j(z) prime?
True
Let t(o) be the third derivative of -o**5/60 - 17*o**4/24 - 13*o**3/6 + 5*o**2. Is t(-11) a composite number?
False
Let h = 165 + -76. Is h a composite number?
False
Let u = -552 + 885. Suppose u + 96 = 3*y. Is y prime?
False
Let s(f) = -f**3 + 15*f**2 - 10*f - 9. Is s(14) composite?
False
Let u(z) = -z**2 + 2*z + 5. Let n be u(5). Is (-495)/n*(-2)/(-3) composite?
True
Let j be 3*(2 - 178/(-3)). Let p = -99 + j. Is p prime?
False
Suppose 3*q - 1864 = 773. Is q composite?
True
Let n(s) = s + 79. Let f(a) = -a - 2. Suppose -8 = 2*c + 2*c. Let v be f(c). Is n(v) prime?
True
Let t(o) = o + 1. Let y be t(5). Suppose 0 = -p - 0*p - y. Is (p/4)/((-3)/6) a prime number?
True
Let m be 2*3/(-6) - -18. Suppose m = 2*k - 59. Is k prime?
False
Let u = -771 + 2270. Is u a prime number?
True
Let d = -20 + 54. Is d composite?
True
Let n(l) = l**2 + l - 10. Suppose 0 = 4*p - 4*z + 2*z - 32, 3*z = 3*p - 27. Is n(p) a composite number?
True
Let n = -5 + 5. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
rounded to the nearest one hundred thousand?
-800000
Let u = -0.30505 - -179.19505. Let a = u - 178. What is a rounded to one dp?
0.9
Let v = -23.7 + 18. What is v rounded to 0 decimal places?
-6
Let q = 92.9999934 - 93. Round q to six dps.
-0.000007
Let w = 21.13 - 21. Let p = w + -2.03. Let i = p + 1.56. What is i rounded to one decimal place?
-0.3
Let g = -4188643 - -6755233. Let l = -1426590 + g. What is l rounded to the nearest one hundred thousand?
1100000
Let u(l) = 2*l**3 - 6*l**2 - 12*l + 10. Let w be u(-10). What is w rounded to the nearest 1000?
-2000
Let x = -151.55398138 - -151.38398. Let d = x - -0.17. Round d to seven decimal places.
-0.0000014
Let j = -260013 + 10646551. Let s = j - 10386530.999979. Let x = -7 + s. Round x to 5 dps.
0.00002
Let g = -8072.769 + 8079. Let b = g - 6.3. Round b to 2 dps.
-0.07
Let m = -14241.5 + 14354.453. Let p = -113 + m. What is p rounded to 2 dps?
-0.05
Let c = -20 + 35. Let f = c - 14.99999944. What is f rounded to 7 decimal places?
0.0000006
Let t(a) = 6 - 2 + 1071*a**3 - 18665*a**3 - 8*a - 10*a**2. Let z be t(-6). Suppose -4*p + 3*m = m - 3799998, 4*p = 4*m + z. Round p to the nearest 100000.
1000000
Let p = -15 + 15.000128. Round p to 5 decimal places.
0.00013
Let x be (-17509)/(1 + -2)*3. Let h = x - 482527. What is h rounded to the nearest 100000?
-400000
Let j = 20876273662.00000077 + -20876273545. Let n = 117 - j. What is n rounded to 7 dps?
-0.0000008
Let c(q) be the first derivative of -q**4/4 + 8*q**3/3 - 4*q**2 + 10*q - 4. Let m be c(7). What is m rounded to the nearest 10?
0
Let j = 39 - 38.99999961. What is j rounded to seven decimal places?
0.0000004
Let i = 2218789 + -2218742.00164. Let f = 47 - i. What is f rounded to 4 dps?
0.0016
Let y = 9545 + -4065. Suppose y = -2*s - 2*s. What is s rounded to the nearest one hundred?
-1400
Let x = -2609706.800003 + 2609708. Let r = x - 1.2. What is r rounded to 5 dps?
0
Let u be (200/(-12))/1*1698. What is u rounded to the nearest ten thousand?
-30000
Let l = -203 - -203.000159. What is l rounded to 5 decimal places?
0.00016
Let x = -488.79801356 + 475.798014. Let f = x + 13. Round f to 7 dps.
0.0000004
Let n = -2 + 2. Suppose 0 = -3*t - 3*v, 5*t + 2*v - 9 = -n*t. Let q be t - (0 - -1) - 7302. What is q rounded to the nearest one thousand?
-7000
Let n = -0.3 - 3.7. Let m = n + 3.9999998. Round m to 7 decimal places.
-0.0000002
Let m = 48012.8754 + -48018. Let q = m + 4.58518. Let l = 0.54 + q. What is l rounded to four decimal places?
0.0006
Let r = 0.85 - 0.5. Round r to one decimal place.
0.4
Let h = 0.28 - 1.12. Let i = h - -0.04. Round i to the nearest integer.
-1
Let f(y) = 5700001*y + 3. Let w be f(-3). Round w to the nearest 1000000.
-17000000
Let w = 0.005 - -357.995. Let n = 238 - w. Let c = -119.39 - n. What is c rounded to one dp?
0.6
Let j = -17.22 + 18. Let y = 0.02172 + 0.758233. Let k = j - y. Round k to five dps.
0.00005
Let r = 4.2 + -2.3. Let i = r - -1.4. What is i rounded to the nearest integer?
3
Let d = 14 + -14.18. Let u = d + 0.18275. What is u rounded to 4 decimal places?
0.0028
Let u = 0.95 + -1. Let b = u + 0.35. Let d = 0.1 - b. Round d to 1 decimal place.
-0.2
Let c = 22328 + -22327.75989. Let h = -0.24 + c. What is h rounded to five dps?
0.00011
Suppose 0 = -5*l - 5*q - 650, -148 = -2*l + 4*q - 396. What is l rounded to the nearest ten?
-130
Let x = 0.5 + -0.55. Let a = -25.95 + x. Let w = a + 25.78. Round w to one dp.
-0.2
Let t = 12203.034 - 12215. Let v = 12 + t. Round v to two dps.
0.03
Let h = -0.31 - -0.31000185. What is h rounded to seven decimal places?
0.0000019
Let z = -789.10032 - -789. Let r = -0.2 - -0.3. Let s = r + z. Round s to 4 decimal places.
-0.0003
Let c = 0.6 + 12.4. Let f = 12.9978 - c. Round f to 3 dps.
-0.002
Let k = 0.06 - 0.07. Let g = k + 0.0088. What is g rounded to 3 decimal places?
-0.001
Suppose -2*g + 2 = -g. Let w be g + 88998 + 0/(-2). Round w to the nearest 10000.
90000
Let w = -0.3 + -27.7. Let v = 52 + w. Let k = 23.999962 - v. Round k to 5 dps.
-0.00004
Let g = -0.29999 + 0.3. Let t = 7 + -7. Let w = g + t. Round w to six dps.
0.00001
Let c = 7.707 + 0.193. Let s = 8.933 + -0.954. Let f = c - s. Round f to two decimal places.
-0.08
Let n = 3.50000031 + -3.5. Round n to 7 dps.
0.0000003
Let x(y) = 0 + 1 - 1735390*y**2 + 2*y - 3264609*y**2. Let z be -1 + -1 + -3 - -4. Let f be x(z). Round f to the nearest one million.
-5000000
Let j be 159/15 - 2/(-5). Suppose -j = -s - 4*s + 4*i, i - 1 = 0. Suppose -s*g - 889 = -24889. What is g rounded to the nearest ten thousand?
10000
Let t = 47.16 - 46. Round t to 1 decimal place.
1.2
Suppose x + 3*m + 1345 = -270, m + 6405 = -4*x. Let t be x/12*69/2. What is t rounded to the nearest one thousand?
-5000
Let f = 19 + -19.8. Let q = f - 0. Round q to zero dps.
-1
Suppose -3*n + 23755467 + 47044578 = 0. Suppose 0 = -4*v - 5*m + n, -2*v - m = v - 17700003. What is v rounded to the nearest
|
{
"pile_set_name": "DM Mathematics"
}
|
t value? (a) -2 (b) 2 (c) 111 (d) 0.05 (e) 1 (f) 192/13
d
Which is the smallest value? (a) 0.3 (b) 14 (c) 5/2 (d) 22 (e) 0.01 (f) 3 (g) -6
g
What is the sixth biggest value in -31, -4, 2/5, -2/9, -5, -4/57?
-31
What is the third smallest value in 3, 5, 0.03, -0.5, -3, 42, 71?
0.03
Which is the smallest value? (a) 0 (b) 1/9 (c) 6/7 (d) 1688494
a
Which is the smallest value? (a) 18 (b) -4/7 (c) 0.0624 (d) -5
d
What is the sixth smallest value in 0.3, -1.5, -9, 0.16, -1001, 2/9, -4?
2/9
What is the fifth smallest value in 79, -1/4, 1.3, 2, 33.59, -0.2?
33.59
What is the fourth smallest value in -0.5, 1, 3953, 1/9, 5, -1, -10?
1/9
What is the fifth smallest value in 6, 0.6802, -4, 0.14, 0.2, 46?
6
What is the fourth biggest value in -5, 308, 1.063, -1?
-5
What is the smallest value in -2/11, 146, 0.07, -4, 5, -21, -2/5?
-21
Which is the second biggest value? (a) 0 (b) 6/5 (c) 242 (d) 7/17 (e) 567
c
What is the fourth smallest value in 0.2, -4.59, -0.16, 11, 0.5, 6?
0.5
Which is the second biggest value? (a) 1.28 (b) 3 (c) -37/11 (d) -22/37
a
Which is the biggest value? (a) -1/3 (b) 310 (c) -8.661 (d) 0.08
b
Which is the sixth smallest value? (a) -5 (b) 7/5 (c) -46 (d) 0.109 (e) 5 (f) -11/2
e
Which is the second smallest value? (a) 0.2 (b) 5 (c) 9.2 (d) -64 (e) 4/19 (f) -5
f
Which is the second biggest value? (a) 0 (b) -0.16765 (c) 0.1 (d) 3/7 (e) -1 (f) -2/7
c
Which is the second biggest value? (a) 14/5 (b) -15568 (c) 0
c
Which is the third biggest value? (a) 5/4 (b) 7 (c) -4 (d) -195 (e) -1/3 (f) -2 (g) 272
a
Which is the second biggest value? (a) 33874 (b) 0 (c) -5/2 (d) -2 (e) 1/2
e
Which is the fourth smallest value? (a) 0.05 (b) -5/4 (c) -3 (d) 108 (e) -4 (f) -0.27
f
What is the third biggest value in 6/7, -0.5, -0.08, 52, -30, -0.2?
-0.08
What is the fourth biggest value in -13, -0.07, -40/37, 1, 0.13?
-40/37
Which is the smallest value? (a) -1525 (b) 1 (c) 5 (d) -0.14
a
What is the biggest value in 0.04, 134, -0.0091, 1, 1/4?
134
Which is the fifth biggest value? (a) -3 (b) -225/7 (c) 2/13 (d) 24/119 (e) -5 (f) -27/7
e
What is the fifth smallest value in 22, 0.3, -0.1, 60, 107/6, -2/7?
22
What is the third biggest value in 8, -35, 2/7, 0.99, -4, -0.1?
2/7
Which is the fourth biggest value? (a) 1/2 (b) 3 (c) -2/3 (d) -12/11 (e) 2 (f) -23.9
c
What is the smallest value in -6, -24/17, -0.04997?
-6
Which is the second smallest value? (a) 6 (b) -1.23 (c) -6/11 (d) 0.7 (e) -12 (f) -3 (g) -1
f
What is the third smallest value in 2/191, -0.3, -41?
2/191
What is the smallest value in 5, 24, 0.03, -1/2, -0.4, 0.5?
-1/2
Which is the fourth smallest value? (a) -2/19 (b) -5/4 (c) 2 (d) 7 (e) -0.1 (f) -5
e
What is the biggest value in 5, -1123280, 5/2?
5
What is the fourth smallest value in -35, 32.1, 2/13, -0.1, -1/205?
2/13
What is the third biggest value in 706.2, 70/271, -6?
-6
What is the sixth smallest value in -2/7, -3/991, 0, -0.1, -1024, 2/11?
2/11
What is the fifth smallest value in 5, -0.5, 0.04, 7.4, 1597/5, -2?
7.4
What is the third biggest value in -21752.9, 21, 1?
-21752.9
Which is the third biggest value? (a) -3/247 (b) -0.3 (c) -0.092 (d) 3
c
Which is the sixth biggest value? (a) 11 (b) 1 (c) 0.4 (d) 1/5 (e) 2 (f) 2/113 (g) 1/3
d
What is the third biggest value in -28/17, 12, -85.4?
-85.4
What is the second smallest value in -0.12, 1/16, 3, -11583?
-0.12
Which is the third smallest value? (a) -38 (b) 3/7 (c) -0.36 (d) -13891
c
What is the fourth smallest value in 0.5, 12, -641, 0.3, 1?
1
What is the biggest value in 2/3, 5/3, -3/18274, 3?
3
Which is the second smallest value? (a) -2 (b) 4737019 (c) 1/2
c
Which is the second smallest value? (a) -5 (b) 1/4 (c) -2 (d) -0.17 (e) -97 (f) 12 (g) -0.2
a
What is the second smallest value in 557, -7, -8/5, 23?
-8/5
What is the third smallest value in -3/29, 5, 4, 1, -12, 0.2?
0.2
Which is the fourth smallest value? (a) 0.4 (b) 959 (c) 2 (d) 9 (e) 0.2 (f) -5
c
What is the fourth smallest value in 1/14, -2, 0.2, 9/9746?
0.2
What is the fourth smallest value in 3/5, -85, 5, -2, -4, 215, 12?
3/5
What is the smallest value in -3.22, 3, -44/47, -28
|
{
"pile_set_name": "DM Mathematics"
}
|
.15. Suppose 0 = -2*d + 5*n - 44 + 84, 6*d + 3*n + 24 = 0. What is the smallest value in -5, d, -0.3, h?
-5
Let o = -339 - -338.233. Let p = o + 0.8. Let j = p - -3.967. Which is the fourth biggest value? (a) j (b) 3 (c) -0.3 (d) -7
d
Let s = -3.5 - -4. Let m = 24547 + -24546.8. Let c be 2/9 + (-78)/108. What is the third biggest value in c, 3, m, s?
m
Let p = 817 - 475. Let x = -338 + p. Which is the fourth smallest value? (a) 2/11 (b) x (c) -11 (d) -2/5
b
Let z = -2/35 - -64/2345. Let k = -0.14 - -0.54. Which is the second biggest value? (a) z (b) k (c) -4
a
Suppose 3*t = -5*d - 31, -411*d - 16 = -409*d + 3*t. What is the fourth biggest value in -22, 13, d, 4?
-22
Let o = -7929 - -7928.5. What is the biggest value in -8/7, -0.7, o, -12?
o
Let x = 177941663/1370699 + -1/124609. Let h = x + -130. Which is the third smallest value? (a) -4 (b) h (c) 0
c
Let l = -12.894 + -0.006. Let n = 12.994 + l. Let v = 1.094 - n. What is the fourth smallest value in -4, 2, -3, v?
2
Let i = -0.2 - -0.2. Let x(h) = -10*h - 379. Let w be x(-38). Which is the second biggest value? (a) w (b) i (c) -25 (d) -3
b
Suppose 24*d + 47 = -49. Let o be -1*4/16*d. Let u = -5/9 + 2/9. What is the smallest value in u, -8, o?
-8
Let z = 458 - 449. Let o = z + 16. Which is the third biggest value? (a) o (b) 1/3 (c) 0.3 (d) -1
c
Let k = -48.9 - -48.4. Let h(a) = 5*a**2 - 7*a + 5. Let x be h(1). What is the biggest value in k, -2, 2/5, x?
x
Let r = 8480.2 - 8480. Which is the fourth biggest value? (a) -2 (b) 1/4 (c) r (d) 19 (e) 3
c
Let m = -18 - -96. Let r be ((-3)/9)/(91/m). Let o = -661/892 - 2/223. Which is the third smallest value? (a) -0.5 (b) -2/3 (c) o (d) r
a
Let p be (2/(-14))/((-85)/187) - (-14)/49. Let m = -13 - -10. What is the smallest value in m, 5, p?
m
Let d = 2767 + -2783. Let t(a) = -a**2 - 7*a - 7. Let o be t(-5). What is the third biggest value in -0.4, d, o, -2/3?
-2/3
Let a = -356.9 - -351.9. What is the second smallest value in -2, 5, a, 6?
-2
Let c be (-2 - -1)*161/115. Let b = 1121/310 - 1/62. What is the second biggest value in c, b, -2?
c
Let z = -7.541 - -11.541. What is the fourth biggest value in -4, -14, 5, -2, z?
-4
Let q(f) = f**2 - f - 3. Let i be q(0). Let r = -4.51 - -4.41. Which is the third smallest value? (a) -4 (b) i (c) r
c
Let i = 4282 + -12844/3. What is the biggest value in i, 0.2, 163, -1/6?
163
Let i = 919/2 - 458. Let u = -16.9 + 17. What is the fourth smallest value in i, 0.4, u, 5?
5
Let q = 0.01844 - -0.11856. Which is the biggest value? (a) q (b) 75 (c) 5
b
Let s = -18440/7 + 2634. Let l = -26 - -21. Which is the fourth biggest value? (a) 0.037 (b) s (c) l (d) -2
c
Let z be 1/8 - 43/88. Let o = z + 23/33. Which is the third biggest value? (a) o (b) 5 (c) 4 (d) -2/9
a
Let t = 142.724 + -142.424. Suppose -3*m + 4*n = -26, m = n + 10 - 3. Let z be 0 - (3 - m)/10. Which is the second smallest value? (a) 13 (b) z (c) t
c
Let d be 6*1/27 - 50/63. Let n = d - -6/35. What is the second biggest value in -0.3, 2/9, 14, n?
2/9
Let o(z) = 224*z - 1340. Let k be o(6). Which is the smallest value? (a) 0.3 (b) 1.1 (c) k
a
Let r = -0.1 + 0.1. Let f = -98168/9 + 10895. Let h = f + 115/9. What is the third smallest value in 2, r, h?
2
Let m = -0.3748 - -4.3748. What is the fourth biggest value in 3, m, 2/9, -0.08?
-0.08
Let j = -78 + 73. Let k(d) be the second derivative of d**3/3 + 5*d**2 + 2*d. Let l be k(j). Which is the smallest value? (a) -11/5 (b) -1 (c) l
a
Let m = 58 - 56. Let q = 626 + -631. Which is the fourth biggest value? (a) q (b) -3/4 (c) 21/10 (d) m
a
Suppose 3*l - 8 = -2*p, -3*p - l + 18 = 2*l. Let n be ((-1504)/(-1780))/(-2) - p/(-25). What is the third biggest value in -2, 3, n?
-2
Let v = -9.8 - -7.8. Let x = -6 - -5.6. What is the second biggest value in 1, v, 4, x?
1
Let v = 1811 - 1809.8. Let a(z) = -z + 8. Let l = 8 + -2. Let r be a(l). What is the smallest value in r, 1/5, v?
1/5
Let t = -1292.7 - -1289. Let q = -138 + 688/5. Which is the third smallest value? (a) 2 (b) q (c) t
a
Let o = 3734 - 3735. Which is the fourth biggest value? (a) 0.12 (b) -0.1 (c) -3 (d) 2 (e) o
e
Let g = -2/151 + -133/1359. Let l = -79 - -79. Let k(h) = h**3 - 5*h + 4. Let x be k(l). Which is the biggest value? (a) -1/2 (b) -1/4 (c) g (d) x
d
Let r(y) = -41059*y + 33. Let a be r(-14). Let c = a - 8627023/15.
|
{
"pile_set_name": "DM Mathematics"
}
|
0.03, -2/9?
-1
What is the nearest to -2/5 in 2/15, -0.1, -1594, -2/5?
-2/5
What is the nearest to 1 in 3.59, 2, 0.5?
0.5
What is the closest to -3/8 in 3, -4/5, 0.5?
-4/5
Which is the closest to 0.1? (a) -1/3 (b) -2/11 (c) -4 (d) -3/8
b
Which is the closest to -1? (a) 0.3 (b) 0 (c) 5
b
Which is the nearest to 1/2? (a) 0 (b) 3/7 (c) 3 (d) 0.03
b
Which is the nearest to -24? (a) -4 (b) 0.2 (c) -2/9
a
What is the closest to -0.4 in 0.2, 8, -0.5?
-0.5
Which is the closest to 0.5? (a) -4 (b) 2/5 (c) -1/3 (d) -2/9
b
What is the closest to 0.3 in 5, -2, 9?
-2
What is the closest to 1 in 21, 0.04, 0.3, 0.1?
0.3
What is the nearest to 1/2 in 0, -0.5, -0.4, 14?
0
What is the closest to 0 in 1/11, 2, -6/11, 3?
1/11
Which is the closest to -10? (a) 1/2 (b) -1/5 (c) 0.4
b
Which is the closest to 5? (a) 3 (b) 1 (c) -1/2
a
Which is the nearest to -2/7? (a) 1/4 (b) -1 (c) -14
a
What is the nearest to 0 in 0.08, -5, 0.2?
0.08
Which is the nearest to -2? (a) -4 (b) 7/6 (c) -0.5 (d) -3/7
c
What is the closest to 1 in 3/4, -0.09, -4, -3/2?
3/4
What is the closest to -0.2 in -5, -5/2, -1/5, 2/7?
-1/5
What is the nearest to -2/5 in 9, 2, 23.6, -0.4?
-0.4
What is the closest to 0.2 in -5, 2/5, -0.2?
2/5
Which is the nearest to 0.1? (a) -0.4 (b) -3/4 (c) 2/5 (d) -0.3
c
Which is the closest to -9/7? (a) -0.2 (b) 0.3 (c) -0.1
a
What is the closest to -4 in -2, 0.4, 2/9, -5?
-5
Which is the nearest to 0? (a) 0.2 (b) 4 (c) 1
a
Which is the closest to 0.9? (a) 1/6 (b) 0.4 (c) -4 (d) 1/3
b
Which is the nearest to -2/7? (a) -1/11 (b) 307 (c) -4
a
Which is the nearest to 1? (a) 0.01 (b) -5 (c) -3 (d) 4
a
Which is the nearest to -0.1? (a) 22/5 (b) -2 (c) -3/2 (d) -4
c
What is the closest to 2/3 in -4/5, -6, 14?
-4/5
What is the closest to 0.3 in -4/7, -1/4, -0.2?
-0.2
What is the closest to -1 in 4, -0.2, 178?
-0.2
What is the nearest to -2/7 in -5, 0.6, 0.014, 4?
0.014
What is the nearest to 7 in 5, -1/5, -1/2, 126?
5
Which is the nearest to 3? (a) 3 (b) -2/13 (c) -3/25
a
What is the closest to -0.2 in -0.2, -2, 3/7?
-0.2
What is the nearest to 0.02 in 1, -3, 0.1, -0.03?
-0.03
Which is the nearest to 0.0161? (a) 0 (b) -1 (c) 7
a
Which is the nearest to 2/7? (a) 1 (b) -0.06 (c) -0.07 (d) -4
b
What is the closest to -0.2 in 1, -3, -4?
1
What is the closest to 2 in 2, -17, 3, 0.5?
2
Which is the closest to 1? (a) -36 (b) 0.5 (c) -5 (d) 0
b
Which is the closest to 0.1? (a) -3 (b) -4 (c) -3/14 (d) -0.3
c
Which is the nearest to 3? (a) -3/2 (b) -0.1 (c) 2/89 (d) 5
d
What is the closest to -1 in 8, 0, 1/20, -17/2?
0
Which is the nearest to 1? (a) 1/2 (b) 1/3 (c) -43
a
What is the closest to 0.1 in -2, 153, 4?
-2
What is the closest to -360/7 in 3, 0.3, -3, 2/13?
-3
Which is the closest to 2? (a) 0.4 (b) 3 (c) -2440
b
What is the nearest to 1 in -0.1, -4/7, -1/6, -3?
-0.1
What is the nearest to 1/6 in -4/43, -1/4, 0.5?
-4/43
Which is the nearest to 0.07? (a) 1 (b) -0.01 (c) 3
b
Which is the nearest to 2? (a) -0.4 (b) -77 (c) 4 (d) 2/9
d
What is the closest to 0.1 in -2/7, -0.5, 0.5?
-2/7
Which is the nearest to -2/9? (a) -0.223 (b) 0.2 (c) -1/3 (d) 5
a
What is the closest to -16 in 0.5, 20, 5, -2/5?
-2/5
What is the closest to -1/2 in 0.2, -80, -4, -2?
0.2
What is the nearest to -0.061 in -4, 1, -2?
1
Which is the nearest to -27? (a) -4 (b) -5/4 (c) -0.02
a
What is the nearest to 0.2 in 0.3, 1/2, -321?
0.3
What is the nearest to -25 in -3, 5, 2/17?
-3
Which is the closest to 1/2? (a) -3/4 (b) 2/15 (c) 0.4 (d) -0.276
c
What is the nearest to -1/12 in 1/11, 1/2, -4?
1/11
Which is the closest to 1/45? (a) 1/6 (b) -3 (c) 2 (d) -2/11
a
Which is the nearest to -9? (a) -3 (b) 1/10 (c) 2/7 (d) 3
a
What is the closest to 2/7 in -10, -6, -2?
-2
Which is the nearest to 22? (a) -3
|
{
"pile_set_name": "DM Mathematics"
}
|
, 3/5, -0.03, -3/2?
3/5
What is the closest to 0.1 in -0.5, 0, 1, -476?
0
What is the closest to 1/2 in -7, 3/7, 1, -4?
3/7
What is the nearest to -0.1 in -0.5, -1, -0.2, 3?
-0.2
What is the closest to -5 in 20, -1/2, 4, 0.4?
-1/2
What is the closest to -679 in 5, -0.4, -0.7, 1/3?
-0.7
Which is the nearest to 0.1? (a) 0.23 (b) -0.3 (c) 2/9 (d) 0.2
d
What is the closest to 8 in 1/5, 1/4, 0.3, 58?
0.3
What is the closest to 2/7 in -0.3, -0.1, -4?
-0.1
What is the nearest to 4 in 0.22, 2, 23, 0?
2
Which is the closest to -3? (a) -3 (b) -2/5 (c) -4/5 (d) 0.1
a
Which is the nearest to 8? (a) 2/7 (b) 8 (c) -1/6 (d) -1/3
b
What is the nearest to -1 in 2, -3, -2/3?
-2/3
Which is the nearest to 10? (a) 1 (b) -3 (c) 1/2
a
Which is the nearest to -1? (a) -19/4 (b) 25 (c) 2/5
c
Which is the nearest to 1? (a) 1/3 (b) 2 (c) 0.4 (d) 2772
c
Which is the closest to -1/4? (a) 2 (b) -3 (c) 0.92 (d) 0.4
d
Which is the closest to -1.8? (a) 2 (b) 1/2 (c) 9/4
b
Which is the closest to -0.5? (a) -0.23 (b) 0.1 (c) -5 (d) 3
a
Which is the nearest to -1? (a) -0.1 (b) 2/5 (c) 9/26
a
Which is the closest to 0.1? (a) 10 (b) -3 (c) -4/17
c
What is the closest to 1 in 0.1, 3, 1/7, 0.4?
0.4
Which is the nearest to -28? (a) -2/5 (b) 0 (c) 3 (d) -4
d
Which is the nearest to 15.1? (a) -0.3 (b) -1/3 (c) 3
c
What is the closest to 0.1 in 2, 65, -0.2?
-0.2
Which is the nearest to -2/7? (a) 2/13 (b) 1.1 (c) -3
a
Which is the closest to 0.2? (a) 0 (b) -1.6 (c) 10 (d) 5
a
What is the closest to 1.2 in -0.3, 0.4, 2/7?
0.4
Which is the closest to -1? (a) 5 (b) -0.51 (c) 3
b
What is the nearest to 6 in 4, -5, 0.2?
4
What is the closest to -5 in 6/13, 1, -1/9, -3?
-3
Which is the closest to -0.1? (a) 20 (b) -1/5 (c) 0.01
b
Which is the nearest to 0? (a) -4 (b) 3/4 (c) -1465
b
What is the closest to 28 in -3, 2/3, -2/3?
2/3
What is the nearest to 1.2 in 0.1, -0.7, -2/3?
0.1
Which is the nearest to -0.23? (a) 1/7 (b) 4 (c) -1 (d) -5
a
Which is the nearest to 118? (a) -25 (b) -4 (c) 1/5
c
What is the closest to 0.1 in -1/4, -6, 0.5?
-1/4
What is the closest to 2.6 in 4, -0.3, 0.5, 0.23?
4
What is the nearest to 2/25 in 1, -2, 0.3, 2?
0.3
Which is the closest to 1? (a) -114 (b) -0.2 (c) 12
b
What is the nearest to 1065 in -2/11, 5, -0.4?
5
Which is the nearest to -94/3? (a) -2/13 (b) 0.5 (c) 0.3 (d) -0.2
d
What is the closest to -1 in 0.08, -1/3, 1/6, 1/4?
-1/3
What is the nearest to -2/23 in -1, 3, 1040?
-1
What is the nearest to 2.9 in -4, 2/11, 4/5, -5/6?
4/5
Which is the nearest to -5.5? (a) -5 (b) 2 (c) 5 (d) 4/7
a
Which is the closest to 0? (a) -2/5 (b) 3/43 (c) 0.2
b
Which is the nearest to -0.2? (a) -5 (b) 7 (c) 6 (d) 2/17
d
What is the nearest to 207 in 0.5, -3, 26/7?
26/7
Which is the closest to -0.1? (a) 12 (b) 4/5 (c) 2
b
What is the nearest to -0.26 in 16/7, -4, 0.3, -1/6?
-1/6
Which is the nearest to -1? (a) -2 (b) 2 (c) 0.3 (d) 0.04
a
What is the closest to -1 in 32, 1/2, -2/3, 13?
-2/3
Which is the closest to 1/2? (a) -5 (b) 2 (c) 1855 (d) -0.3
d
What is the nearest to 54 in -5, -2, -1.4?
-1.4
What is the nearest to -2 in -1, -2, -0.18?
-2
Which is the closest to -56? (a) -0.08 (b) 3 (c) 2
a
What is the closest to 0.002 in -1/2, -4, -4/5, -1/5?
-1/5
Which is the closest to 0.1? (a) -5 (b) -4 (c) -0.1226
c
What is the nearest to 1472 in 3, 2/5, 2?
3
What is the closest to -2 in -4, -3, 0.1, 1/7?
-3
Which is the closest to -6? (a) -57 (b) 0 (c) 2/11 (d) -3
d
Which is the nearest to 1? (a) -0.4 (b) -2/25 (c) 2
c
What is the closest to 19 in 3, 4, -0.2, -0.5?
4
Which is the closest to -1? (a) -0.3 (b) -8 (c) 0.4
a
Which is the closest to -3? (a) -0.14 (b) 0.1 (c) -1/3
c
What is the nearest to -2/7 in -1/8, 3, -0.4, -171?
-0.4
Which is the nearest to 2/3? (a) 2/17 (
|
{
"pile_set_name": "DM Mathematics"
}
|
3. Solve -4*i - g = 5*z, z - 4*i - 28 = 5*z for z.
-4
Let r be ((-14)/(-3) - 4)/((-1)/3). Let l = r - -2. Solve d = -1 - l, -3*s + 4*d + 1 = 0 for s.
-1
Let m be ((-3)/(-4))/(3 + (-21)/8). Solve -2 = -x, m*f + x = -3 - 3 for f.
-4
Let t = -283 + 283. Solve 2*r = 2*z, t*r = 3*z + 3*r - 6 for z.
1
Let q = -9 + 13. Suppose -3*a + a + 4*o - 20 = 0, 30 = 5*a + 6*o. Solve -s = 3, q*v - 4*s + 2 + 2 = a for v.
-4
Suppose 7 = 2*o + z - 22, -5*z = -5*o + 65. Let h = 4 + 1. Solve o = h*n + 4*v - 8, -4*v + 16 = 2*n for n.
2
Suppose -4 + 1 = -a. Suppose 19 = 4*z + a. Suppose -12 = -z*x + 24. Solve -u = -3*r - x, -r - 5*u - 1 = -14 for r.
-2
Let v be 2 - (0 + -1)/(-9 - -10). Solve -v*w + 4*w = -5*l + 17, -3*l - w = -9 for l.
4
Let j(k) = -4*k**2 - 3*k - 15. Let u be j(-3). Let m be (-24)/(-5)*(-105)/u. Solve 5*g = -b - m, 3*b - 24 = 2*g + 3*g for g.
-3
Let w = 347 - 323. Let j = 5 + 1. Let t = 10 - j. Solve -4*s - 4*u = -0*s + w, 4*s - t*u = -16 for s.
-5
Suppose -3*t = -m - 4*m + 173, -4*t - 244 = -4*m. Let r be (-18)/4*(3 - t/(-18)). Solve 5*d - r*p - 1 = -19, d + 4 = p for d.
-3
Let q = -110 + 120. Solve 5*m - 3*n = -q, 0*n = m + 2*n + 15 for m.
-5
Let k(f) = -f + 10. Let w be k(0). Let h be w/35 - 2/7. Suppose 8 = -d - 2*t, -4*t = -3*d - h*t + 26. Solve 5*o + 15 = -d*s, -6 - 4 = -s + o for s.
5
Suppose 4*n + 3 = 7. Suppose f + 4*b = 1, 5*f - 4*b = n - 20. Let u = 2 - f. Solve 0 = v + u*o + 24 - 8, -4*v = -4*o - 8 for v.
-1
Let b be -2 - 5 - (3 + -31). Let y(c) = -2*c**2 - c + 4. Let j be y(3). Let r = b + j. Solve 0*f - r*s = 4*f + 24, 5*f + s = -14 for f.
-2
Let z(a) = -2*a + 3. Let x be z(4). Suppose q - 11*q - 50 = 0. Let v = q - x. Solve -y - 2*j = 11, 0 = j - v*j + 3 for y.
-5
Suppose -3*s = -2*u - 220, -3*u = -4*s - 2*u + 295. Let m = s - 69. Solve 0 = -3*q + 4*v + 1, 0 = 3*q - m*v - 1 - 4 for q.
-5
Suppose -3*a + 171 - 198 = -4*u, -3*a = -u + 9. Solve 0*g + 4*k - 27 = -5*g, -2*k + u = 0 for g.
3
Suppose 2*a - a = -t - 2, 4 = -5*a - 3*t. Let n(g) = 6*g**2 + 2*g - 1. Let l be n(a). Suppose -3 + l = 2*w. Solve 5*h - w*h + 1 = 4*s, 2*h + 14 = -4*s for h.
-3
Let k = 86 - 82. Solve -5*o + k*w - 20 = -w, w = -4*o - 16 for o.
-4
Let g be 22/(-14) + (-30)/70. Let f be (-4 + g)/(2/(-5)). Let r = f + -11. Solve r*y - k = 3*k + 16, 22 = 3*y - 5*k for y.
-1
Let i = 218 + -216. Solve i*t = -6, 0*t - 5*t = -4*l + 19 for l.
1
Suppose 0 = 138*j - 131*j. Solve -3*g - 4*b = -1 + 21, j = g + 4*b + 12 for g.
-4
Suppose -5*p + 28 = -4*o, 10 = 2*p + 3*p + 5*o. Suppose -3*b + 4*d - 4 = 0, 0 = 3*b - d - 0 - 8. Solve -p*y - 5*n - b = 0, 3*n - n - 1 = y for y.
-1
Suppose -3*q = -5*m - 1, -3 + 2 = q - 2*m. Solve 2*d + 10 = 4, -z - q = 3*d for z.
2
Suppose -9*m = -6*m + 66. Let x = -8 - m. Let p be 24/42 - (-160)/x. Solve -4*k + 6 = 3*z - 6, 0 = -4*k + 3*z + p for k.
3
Suppose 0*i - 16 = -i - 3*j, -2*i = -2*j - 16. Let f be 81/15 + (-4)/i. Solve 10 = 5*x - f*d, 0 = 5*x + 7*d - 3*d + 17 for x.
-1
Let c(g) = -53*g - 473. Let b be c(-9). Solve -j - 3*a = -0*j - 9, 4*a + b = 4*j for j.
3
Let b = -8 + 11. Let a = 24 - 2. Let q(m) = 11*m**2 + 1048*m + 290. Let n be q(-95). Solve -n*h - 4*v + 12 = -0*v, -5*v - a = -b*h for h.
4
Suppose 14*v + 6*v - 120 = 0. Solve -2*o = -f + v, 5*f = 5*o - o + 6 for f.
-2
Suppose -3*j - 4*d + 25 = 0, 3*j - 65 = -j + d. Suppose 2*t + j = 5*t. Let o = 36 - 34. Solve -5*l - 19 = o*a, -t*l = -4*a - 1 + 8 for l.
-3
Let j = -267 - 225. Let k be 1/(-4) - j/48. Solve z = -0*z - 4, 2*n - 5*z - k = 0 for n.
-5
Let z(t) = t**3 - 9*t**2 + 16*t - 7. Let u be z(7). Solve v = -4*b + 19, -u - 1 = -2*b for v.
3
Let d be 20/(-25) - 14/(-5). Suppose -2 = 4*v + 5*w, -4*v + 0*v + 2*w = -12. Solve d*f = -v*k + 2, -5*f = -k - 0*k - 11 for f.
2
Let g = 105 + -99. Solve -2*a + 0*a - g = 3*m, -5*m - 3*a - 10 = 0 for m.
-2
Suppose 0*t + 4*t = -5*y + 38, 2*y + 2*t - 16 = 0. Suppose 10 = -u
|
{
"pile_set_name": "DM Mathematics"
}
|
d derivative of s**5/15 - 54*s**2. Calculate m(u(i)).
-8*i**2
Let o(q) = 2*q**2 + 2*q**2 - 3*q**2. Let z(n) = -2*n + 1. Let l(g) = -1. Let t(s) = -l(s) - z(s). Determine t(o(a)).
2*a**2
Let n(p) = p**2. Let a(c) = 2*c**2. Let l(y) = 3*a(y) - 8*n(y). Let v(t) = 3*t**2 + 2. Let z(o) = 7*o**2 + 5. Let m(i) = -10*v(i) + 4*z(i). Give l(m(b)).
-8*b**4
Let n(p) = -2*p. Let d(u) = u**2 + u**2 - 4*u**2. What is d(n(m))?
-8*m**2
Let s(p) = -2*p. Let g be ((-3)/(-2))/(6/(-16)). Let d(u) = -u + 3. Let a be d(g). Let t(f) = 0 + 6*f**2 + 0 - a*f**2. Determine s(t(n)).
2*n**2
Let i(r) = -r. Suppose 4*v + 2 = 3*c - 11, 0 = -2*v - 2. Let z(l) = -4*l + c*l - 3*l + 3*l. What is i(z(n))?
n
Let o = -13 - -8. Let a = 1 - o. Let t(q) = 3*q + q - a*q. Let h(c) = -5*c. What is t(h(f))?
10*f
Let m be (0/(-3) - -1)*4. Let v(y) = 5*y**2 - 2*y**2 - m*y**2. Let c(x) = 2*x. Determine v(c(g)).
-4*g**2
Let z(j) = 32*j**2. Let u(x) = -14*x. Calculate z(u(r)).
6272*r**2
Let y(o) = 36*o**2 - 18*o**2 - 15*o**2. Let l(m) = 8*m**2. Determine l(y(v)).
72*v**4
Let d(p) = 26*p**2 + 5 - 4 - 1. Let m(k) = 3*k. Determine d(m(x)).
234*x**2
Let i(u) be the third derivative of u**4/12 - u**2. Let o(l) be the second derivative of -l**4/6 + 3*l. What is o(i(a))?
-8*a**2
Let y(s) be the second derivative of s**4/6 + s. Let k(h) = 6*h**2 - 7*h. Let p(b) = -5*b**2 + 6*b. Let w(j) = 6*k(j) + 7*p(j). Give y(w(n)).
2*n**4
Let a(p) = 2*p**2. Let x(i) be the second derivative of -i**4/12 - 20*i. Determine a(x(v)).
2*v**4
Let d(j) = 2*j**2 - 5. Let i(y) = -y**2 + 2. Let g(b) = 4*d(b) + 10*i(b). Let v(u) = -2*u. Calculate g(v(r)).
-8*r**2
Let t(g) = 19*g. Let m(b) = 1067*b**2 + b. Give t(m(p)).
20273*p**2 + 19*p
Let i be 1*4 + 2 + -3. Let l(t) = -5*t**2 + i*t**2 + t**2. Let o(s) be the third derivative of -s**4/8 - 5*s**2. Determine l(o(p)).
-9*p**2
Let i(u) = -8*u**2 + 7*u + 7. Let m(z) = 4*z**2 - 3*z - 3. Let k(s) = 3*i(s) + 7*m(s). Let j(b) = b**2. Calculate k(j(o)).
4*o**4
Let k(l) = -2*l. Let p be (12/(-6))/((-2)/3). Suppose 0*q - 33 = -4*q + w, 50 = 5*q - p*w. Let o(a) = -2*a - 7 + q. Give k(o(s)).
4*s
Let p(a) = 191*a. Let d(i) = 2*i**2. What is d(p(r))?
72962*r**2
Suppose 0 = 6*h - 2*h. Let j(f) = -2*f + 0*f + h*f + 0*f. Let o(y) = -y + 0 + 0. What is o(j(u))?
2*u
Let t(n) = -3*n. Let r(g) = -1882*g**2. What is r(t(a))?
-16938*a**2
Let a(z) = -6*z**2 + 5. Let n(k) = -9*k**2 + 8. Let r(i) = -8*a(i) + 5*n(i). Let d(j) = -3*j + 0*j + 4*j. Give r(d(w)).
3*w**2
Let f(b) = 6*b**2 + 10*b. Let k(s) = -s**2 - s. Let m(d) = -f(d) - 10*k(d). Let h(y) = -12*y**2. Calculate h(m(c)).
-192*c**4
Let r(f) = -f. Let q(o) = -o - 7. Let u be q(-11). Let s(k) = 9*k**2 - u*k**2 + 2*k**2. Determine r(s(h)).
-7*h**2
Let l(z) = 7*z. Let r(a) = 7*a - 1 + 1 - 8*a. Let p(t) = 6*l(t) + 39*r(t). Let m(w) = w. Calculate m(p(o)).
3*o
Let r(i) = -i - 1. Suppose 0 = 3*c - 2*q - 23, 0*q + 41 = 5*c - 4*q. Let g(o) = -o**2 + 5*o + 5. Let z(l) = c*r(l) + g(l). Let x(f) = -3*f. What is x(z(b))?
3*b**2
Let t(h) = -4*h**2. Let x(i) be the first derivative of -3*i**2 - 37. Calculate t(x(a)).
-144*a**2
Let j(o) = -11*o**2. Let q(x) be the first derivative of x**3/3 + 27. Calculate j(q(d)).
-11*d**4
Let o(r) = 11*r - 2. Let y(a) = 5*a. Determine y(o(p)).
55*p - 10
Let b(m) = m - 46. Let f(w) = -10*w**2. What is f(b(q))?
-10*q**2 + 920*q - 21160
Let n(k) = -10*k. Let x(i) = -18*i**2 - i. Determine n(x(u)).
180*u**2 + 10*u
Let c(p) = 8*p. Let z(f) = -4185*f**2. Determine c(z(n)).
-33480*n**2
Let o(x) = -3*x**2. Let k(c) be the first derivative of -2*c**3/3 + 8. Determine o(k(l)).
-12*l**4
Let r(x) = -x**2 - 2*x. Let c(i) = -3*i**2 - 9*i
|
{
"pile_set_name": "DM Mathematics"
}
|
mainder when 291 is divided by g.
46
Let t = -15 + 29. Let b(y) be the first derivative of 13*y**2/2 + y - 23. Calculate the remainder when b(2) is divided by t.
13
Suppose 376 = 7*f - 93. Calculate the remainder when f is divided by ((-3)/1 - -5) + 21.
21
Let b = 37 - 22. Suppose 9 = q - b. What is the remainder when 88 is divided by q?
16
Suppose 0 = 48*y - 51*y + 486. Let c = -127 + y. What is the remainder when c is divided by 16?
3
Let o(i) = i + 13. Let d be o(-11). Suppose -5*z - 2*r - d*r + 33 = 0, 5*z = r + 23. What is the remainder when z is divided by 2/11 - (-341)/121?
2
Suppose 8*z - 6 = 5*z. Suppose z*a - 26 = 102. What is the remainder when a is divided by 13?
12
Let u(y) = 26*y**2 + 55*y + 54. What is the remainder when 63 is divided by u(-1)?
13
Suppose 5*k + 4*s - 175 = 0, -5*k - 107 = -2*s - 312. Calculate the remainder when 125 is divided by k.
8
Let b = 872 - 588. What is the remainder when b is divided by 77?
53
Suppose -2*w = 4*k - 110, 4*k = -w - 2*w + 105. Let y(f) = -3*f**2 + 2*f**2 + 1 + 8*f**2. What is the remainder when k is divided by y(1)?
6
Let l be (1*-1)/((-7)/14). Suppose -1 = -s + l. Suppose 5*x - 85 = -t, -2*t + 44 = s*x - 0*t. What is the remainder when 33 is divided by x?
15
Let o = 45 + -77. Let f = -26 - o. Let u(j) = -j**3 + 7*j**2 - 7*j + 7. Calculate the remainder when u(5) is divided by f.
4
Suppose -6*f - 91 + 259 = 0. Let t = f - 17. Calculate the remainder when t is divided by 4.
3
Let w = -153 - -313. Suppose 38*p = 42*p - w. What is the remainder when p is divided by 15?
10
Let u(w) = 21*w + 5. Let c be u(-2). Let f = -24 - c. What is the remainder when (2/3)/(4/150) is divided by f?
12
Let z(v) = -5*v - 7. Let o be (-6)/(-21) + (-4)/14. Suppose o = 2*s + 2*s - 48. Calculate the remainder when z(-8) is divided by s.
9
Suppose -179*h + 178*h = -15. What is the remainder when 567 is divided by h?
12
Let l = 27 - 16. Let r(j) = -j**2 - j - 10. Let b be r(0). Let x(m) = -m**2 - 10*m + 3. What is the remainder when l is divided by x(b)?
2
Suppose -2*b - 28 = -5*y, -3*y = -2*y - 2*b - 12. Let c be (-3)/(3/1) + 0. Calculate the remainder when (-2)/5*(c - 24) is divided by y.
2
Suppose -2*j + 6*j + 34 = 3*n, -n + 22 = 4*j. Suppose l - 9 = -10. Calculate the remainder when 27*l/4*-4 is divided by n.
13
Let z = -56 - -216. What is the remainder when z is divided by 27?
25
Let v = -107 - -112. Suppose a - 356 = -4*d, -3*a + v*a = 4*d - 344. What is the remainder when d is divided by 15?
13
Suppose f - 6*f + 76 = 4*y, -4*y = -f - 4. What is the remainder when (1/(15/(-6)))/(44/(-4730)) is divided by f?
7
Let i(h) = 11*h - 27. What is the remainder when i(6) is divided by 8?
7
Let l = 202 + 27. Suppose -2*y + 2*s + 218 = 0, -4*y + 201 + l = 2*s. Calculate the remainder when y is divided by 37.
34
Let r(h) = -h**3 - 10*h**2 + 15*h + 10. Let c be -4 + -2 + 5 + -11. What is the remainder when r(c) is divided by 15?
13
Let l = 1300 + -887. Calculate the remainder when l is divided by 18.
17
Suppose -435 = -15*d - 17*d + 3*d. Suppose -4*o - 55 = 5*n + 10, -4*o = -n + 35. Let i = o + 14. What is the remainder when d is divided by i?
3
Suppose -32 = 35*t - 37*t. What is the remainder when 29 is divided by t?
13
Suppose -5*q - 4*i + 644 = 0, 0 = -4*q + 4*i - 2*i + 536. Suppose 0 = -4*f + 4*m + 204, 7*m - 10*m = 4*f - 162. What is the remainder when q is divided by f?
42
Let r = 148 + -138. Suppose -299 - 501 = -r*d. Calculate the remainder when d is divided by 29.
22
Suppose 5*a - x = -3*x + 542, -3*x = 5*a - 543. What is the remainder when a is divided by 11?
9
Calculate the remainder when 58 is divided by (-292)/(-28) + 33/(-77).
8
Let s = -23 - -25. Calculate the remainder when 6 is divided by 1*(3 + 3)/s.
0
What is the remainder when (52/(-6))/(2/(-33)) is divided by 36?
35
Suppose -41*h - 255 = -46*h. Calculate the remainder when 161 is divided by h.
8
Let x(s) = -s**3 + 5*s**2 - 3*s. Let b be x(5). What is the remainder when 87 is divided by (0 - 2 - -13)*(b - -17)?
21
Suppose -2*b - 5 = -17. Let u = b - 2. Suppose -85 = -p - u*p. Calculate the remainder when 31 is divided by p.
14
Suppose 9*i = 2*i - 42. Calculate the remainder when 308/9 - 5/((-135)/i) is divided by 18.
16
Let a(z) = 33*z + 9. Let p be a(6). Suppose 5*d - 213 = p. Suppose 0*y - 2*y = -d. Calculate the remainder when y is divided by 22.
20
What is the remainder when ((-7976)/(-56))/((-4)/(-140)*5) is divided by 100?
97
Let k be (48/(-20))/((-2)/10). Suppose -2*f - 5*p = -3*f + 66, 2*f + p - 77 = 0. Calculate the remainder when f is divided by (42/(-4))/((-9)/k).
13
Calculate the remainder when 37 is divided by -39*3/((-9)/2).
11
Let b be (3 + -3)/(4/(-4)). Suppose -5*d + 4*d + 12 = b. What is the remainder when (29 - (-3)/1) + 2 is divided by d?
10
Let f(k) = k**3 - 10*k**2 - 35*k - 32. Calculate the remainder when 119 is divided by f(13).
19
Let i = -3 + 11. Suppose 2*x = -3*s + 69, -99 = -i*s + 3*s + 2*x. Calculate the remainder when 62 is divided by s.
20
Let o(m) be the second derivative of -m**3/6 - 4*m**2 - 7*m. What is the remainder when 14 is divided by o(-14)?
2
Let j(v) = -v + 10. Let u(b) = b**2 - 6*b + 4. Let o be u(6). What is the remainder when (o + 3)*6/7 is divided by j(6)?
2
Let a = 52 + -22. Suppose -18 = 4*j + a. What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
7/22 and n.
66
Let p be 1/(-6) - 5139/(-54). Suppose -p = u + 4*u. What is the common denominator of 0 + u*2/16 and -41/8?
8
Suppose -2*a + 3*o - 4 = 0, 3*a + 2 = -a + 3*o. Calculate the common denominator of (-550)/(-264) + 0 + a and 7/(-12)*(-129)/21.
12
Let o(r) = r**3 + 33*r**2 + 24*r - 121. Calculate the lowest common multiple of o(-32) and 15.
135
Let p be (14/(-21))/(2/(-60)). Let k = -15 + p. Suppose -20 = -k*o + 60. What is the lowest common multiple of o and 8?
16
Let u = -19601/6 + 3275. Find the common denominator of u and (2/16)/((-3804)/(-632) + -6).
12
Calculate the lowest common multiple of 20 and (-3 - 34/(-12)) + 2404/24.
100
Calculate the common denominator of 49/132 and 189/44 + 10/30 - 4.
132
Let v be -3405*((-11)/(-55))/(16/(-10)). Let a = -425 + v. What is the common denominator of 59/6 and a?
24
Let x = -32 + 40. Calculate the common denominator of x/(-33)*(-9 - -8) and -35/33.
33
Let k = -2357/980 + 184/49. Find the common denominator of k and (8/32)/((-10)/(-428)*2).
20
Let a(x) = -x**2 - 3*x + 5. Let q = 40 - 43. Calculate the least common multiple of 18 and a(q).
90
What is the common denominator of 68/9*(-960)/(-13312) and 11/104?
312
Let d(h) = h**3 + h**2. Let j be d(1). Suppose -36 = -j*f - 0*f. What is the smallest common multiple of 22 and f?
198
Let r(c) = c**2 + 14*c + 13. Let u be r(-15). Suppose 0 = -89*t + 91*t - u. Calculate the least common multiple of 88 and t.
616
Let f be -1 - ((-854825)/28206)/5. Let c = 74841/11393657 + -6/7271. Let r = c - f. What is the common denominator of r and 7/2?
18
Suppose 4*x - 5*y = 26, 7*x - 44 = 3*x - 4*y. Let d = 695 - 690. Calculate the smallest common multiple of d and x.
45
Suppose 3*s - 4 = -4*w + 12, 4*s - 73 = 5*w. Calculate the smallest common multiple of s and 30.
60
Let n be (-15 - -3)*(-1 + (-2)/4). Let x = -1196 + 10730/9. What is the common denominator of 2 + (-184)/(-36) - (-4)/n and x?
9
Find the common denominator of 33/7 and (-1265)/8505 - (1 - 30/21).
1701
Let u = -17 - -69. Let s = 67 - u. What is the smallest common multiple of s and 7?
105
Let a be 4 + -2 + (-6294)/(-14). Let u = -457 + a. Find the common denominator of u and 247/55 + (-2)/5.
77
Let s = -662315 - -9941867/15. Let x = -480 + s. Calculate the common denominator of x and 40/3.
15
Suppose -6*g + 3*g = -315. Suppose 3*v + g - 2 = 4*s, -5 = v. What is the least common multiple of 6 and s?
66
Let k be (7*10/874685)/(4/1). Let b = 3323827/1199568 - k. Find the common denominator of 17/14 and b.
336
Let i = 14 + -47. Find the common denominator of -169/30 and i/56 + (-4)/14.
120
Suppose 6*c + 34 = 23*c. Let l(s) be the first derivative of 3*s**2/2 - 1. What is the least common multiple of 2 and l(c)?
6
Let r(f) = f**3 - 3*f**2 + 2*f + 2. Let a be r(3). Let t = a - 16. Calculate the common denominator of (-41)/t + 10 + -10 and -61/9.
72
Let l(z) = 5*z**3 - 10*z**2 - 10*z - 29. Calculate the least common multiple of l(5) and 74.
296
Suppose -18*n = -14*n - 80. Let x = 1136 - 11281/10. What is the common denominator of x and -7 + 145/n + 64/18?
180
Let k = 20 + -29. Let g = -7 - k. Suppose -4*n + 2*c - c = -85, -c + 47 = g*n. What is the smallest common multiple of 16 and n?
176
Let z = -416 - -417. Suppose 0 = 3*c - 5 - 4. Suppose k + 3*g - 16 = 0, -c*g + 30 = -k + 4*k. What is the least common multiple of k and z?
7
Let r = -12 - -27. Suppose -p - 11 = 5*i, 0*i = -5*p + 3*i - 27. Let x = r + p. Calculate the lowest common multiple of 6 and x.
18
Suppose -4*q = -2*p - 9 + 3, -5*p + 3*q = 22. Let i(f) = 6 - 5*f - 2*f**2 + f - f**3 - 4*f**2. What is the smallest common multiple of 1 and i(p)?
1
Let s = 235 - 219. What is the least common multiple of s and 5?
80
Let c(o) = 16*o - 541. Calculate the smallest common multiple of c(37) and 24.
408
Let v = -49 - -26. Let z = v - -35. Calculate the lowest common multiple of z and 2.
12
Let y = 121709/61 - 6236127/1220. Let u = y + 3114. What is the common denominator of u and 7701/(-34)*2/36?
60
Suppose -84*w = -85*w + 2*u + 30, 2*w - 18 = -2*u. Let c = 1 - 0. Let f = 1 + c. Calculate the smallest common multiple of f and w.
16
Let s = -48 - 42. What is the common denominator of (-325)/s + 3*-1 and (-1479)/180 - ((-12)/(-10) + -1)?
36
Suppose 0 = -4*c - y + 30, 0*c + 4*y = c + 1. Suppose -2*u + 25 = 3*u, 4*a = 5*u + 79. Let w = a + -20. What is the least common multiple of w and c?
42
Let v = 3021 + -27238/9. Find the common denominator of v and -31/32.
288
What is the common denominator of -45/16 and ((-24)/14)/6 - 127/(-224)?
32
Let l = -12/25 + 1523/100. What is the common denominator of -127/190 and l?
380
Suppose 3*w - 4*w = -3. Suppose w*o = o. What is the common denominator of o and 50/9?
9
Find the common denominator of -33/200 and (165/8)/(729/108).
1800
Suppose 0 = 8*z - 3*z - 4*c - 1094, 2*z - 3*c = 432. Let x = 345/2 - z. Let r = 253/89 + 6871/1246. Find the common denominator of x and r.
14
Suppose -k + 2 = 1. Find the common denominator of 1 - (k + 93/(-30)) and 27/17.
170
What is the least common multiple of 235 and (-470)/3*1044/(-435)?
1880
Let t = 1877/210 + -152/21. Calculate the common denominator of t and 2 - (-1 - (-119)/6).
30
Let c = -25 - -43. Let k = -29 - -33. What is the smallest common multiple of k and c?
36
Let q(x) = x**2 + 5*x + 2. Let c be q(-4). Let j(k) = k**2
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the greatest common divisor of m and k?
25
Let b(p) = -132*p**2 - 10*p + 9. Let z be b(1). Let t = 150 + z. Calculate the highest common divisor of t and 51.
17
Let t be (15/25)/((-3)/(-135)). What is the greatest common factor of t and 72?
9
Let g(z) = -18*z + 3. Let o be g(-6). Suppose 4*m - o - 81 = 0. What is the greatest common factor of m and 32?
16
Let d(x) = -x**3 + 20*x**2 - 17*x - 8. Let p = -5 - -24. Let o be d(p). What is the greatest common divisor of o and 10?
10
Let w = -21 - -25. Let n(h) = -h**3 + 4*h**2 + 5. Let c be n(w). Suppose c*q - 144 = -q. What is the greatest common factor of 36 and q?
12
Let k = -132 + 152. Let r(x) = -4*x**2 - x**2 - 4*x - 2*x**3 + x**2. Let i be r(-4). Calculate the greatest common divisor of k and i.
20
Let h = 347 + -330. Let y be -83 - 2 - (1 + 0). Let q = y - -120. What is the highest common factor of h and q?
17
Let c(m) be the third derivative of -m**4/4 - 4*m**3/3 - 7*m**2. Let y be c(-3). Suppose 16 = 4*q - 24. What is the greatest common factor of y and q?
10
Suppose -24*q + 22*q = -30. Calculate the highest common divisor of q and 5.
5
Let a be 12/126 - 510/63. Let i be ((-1072)/6)/((-1)/(-3)). Let r be a/44 + i/(-44). Calculate the greatest common divisor of r and 24.
12
Let i(a) = -a**2 + 14*a - 5. Let f be i(11). Let q be (-5)/((-100)/(-72))*5. Let r = -11 - q. What is the highest common divisor of f and r?
7
Suppose 21*c + 2254 = 35*c. What is the highest common divisor of c and 46?
23
Let k = -174 - -188. What is the highest common divisor of k and 63?
7
Suppose 5*y = 5*u - 100, y = 4*u + 2*y - 80. Let h(g) be the first derivative of g**2 - 14*g + 16. Let r be h(9). What is the highest common factor of u and r?
4
Let r(a) = -9*a - 32. Let h = 2 + -8. Let b be r(h). What is the highest common divisor of b and 77?
11
Suppose -2*f = 3*f + 3*p + 14, 5*p = f - 14. Let n = f - -5. Suppose n*q - 2*q = 36. What is the greatest common divisor of q and 54?
18
Let f = -3176 - -4757. What is the highest common factor of f and 51?
51
Let o = 450 - 440. Calculate the greatest common factor of o and 410.
10
Suppose 3*j - 2 = 2*j. Suppose -j*d = -4*s - 168, 151 = -3*d + 4*s + 395. What is the greatest common divisor of 38 and d?
38
Suppose -9 + 3 = -3*v. Let d be v*((-315)/6 + -3). Let s be (-4)/(-6) - d/9. What is the highest common factor of 117 and s?
13
Suppose -2*f = f - 6. Suppose -3*d + f*d = -3*u - 1, u = -5*d + 37. Let o = 600 - 551. What is the greatest common divisor of d and o?
7
Let g be 5/(25/2) - (-278)/5. Calculate the highest common factor of 14 and g.
14
Let q(l) = -10*l - 307. Let c be q(-32). Calculate the greatest common factor of c and 533.
13
Let q be 6 - ((-1316)/(-705) - 4/(-30)). What is the greatest common divisor of 12 and q?
4
Let k = 166 - 120. Let m = k - 34. Calculate the highest common divisor of m and 12.
12
Suppose 9*p - 3300 = -24*p. Calculate the greatest common divisor of p and 50.
50
Suppose -2*n = -n - 20. Suppose 0*h + h - 13 = 0. Suppose h*x = 11*x + 360. What is the greatest common divisor of x and n?
20
Suppose y - 62 = -22. Let k(a) = 26*a - 2. Let u be k(1). Calculate the greatest common factor of u and y.
8
Let u be 0/((-2 + 1)*-1). Let f(h) = h**2 - 2*h + 42. Let s be f(u). What is the greatest common factor of 14 and s?
14
Let v(k) be the first derivative of 19*k**3/3 + 5*k + 25. Let z be v(3). What is the greatest common factor of 22 and z?
22
Let t = -24 + 126. Let c(h) = 6*h**2 + h. Let v be c(-3). Calculate the highest common factor of v and t.
51
Let m be ((-9)/(-6))/((-6)/80). Let g = m + 85. Suppose 5*x - 43 = -2*p + 20, x - 9 = -4*p. What is the greatest common factor of g and x?
13
Suppose 6 = 4*i - 6. What is the greatest common factor of 27 and i?
3
Let g be (1 + -3)*(-3 - (-5)/10). Let t be 2/g + 12/(-30) + 64. Calculate the greatest common factor of 16 and t.
16
Let d = 451 - 7. Calculate the highest common divisor of 12 and d.
12
Let z be 4 + 990/7*350/75. What is the highest common factor of 8 and z?
8
Let r(a) = -a - 4. Let n be r(-9). Suppose n*i - 110 = -0*i. Let w be 4/10 - 106/(-10). Calculate the greatest common divisor of w and i.
11
Let g be 16/(-1 + 7/5). Let a = 81 + -83. Let v be 8/6*(a - -14). Calculate the highest common divisor of v and g.
8
Let k = 7 + -5. Let q(y) = y**3 - 3*y**2 + 4*y - 2. Let p be q(k). Suppose f = -p*f + 45. What is the highest common factor of f and 3?
3
Let t = 58 - 92. Let b = t + 38. Calculate the greatest common factor of b and 28.
4
Let h(c) = 2*c**2 - 16*c + 56. Let q be h(16). What is the highest common divisor of q and 48?
24
Let d = -7 + 8. Suppose -3*z - 3 = -2*i, 2*i + z = -0 - d. Suppose 2*o + 10 = i, k - 22 = -2*k + 2*o. Calculate the highest common divisor of 44 and k.
4
Let y be (-3)/4 - (-129183)/596. Suppose 90 - 314 = -2*f. Suppose -3*h + 123 = -2*v + 38, 2*v + f = 4*h. Calculate the highest common divisor of y and h.
27
Suppose -445 = -3*u - 115. Suppose 2*n - 53 = 4*f - f, -60 = -3*n - 2*f. What is the highest common divisor of n and u?
22
Suppose y - k - 129 = 0, 4*y - 29*k = -34*k + 543. Calculate the highest common divisor of 154 and y.
22
Let v = -2 + 15. Suppose 13*y - 7 + 46 = 0. Let x be 128/13 - y - 6/(-39). What is the greatest common divisor of x and v?
13
Let n(k) = -k + 11. Let u be n(-3). Suppose 2*i + 6 = -i + 3*b, -5*b + 2 = 3*i. Let o be 30 - (0 - (i + -1)). Calculate the highest common divisor of u and o.
14
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the hundreds digit of 3/(j/8 + (-11258)/(-43784))?
4
Let d = 14526 + -7982. What is the units digit of d?
4
Let r(b) = 10 - 14 - 5 - 5*b. Let f(j) = 21*j + 37. Let v(o) = 4*f(o) + 18*r(o). What is the units digit of v(-7)?
8
Let c(h) be the first derivative of h**3 - h**2 + 82*h + 58. What is the units digit of c(14)?
2
Let k(u) be the second derivative of -3*u**5/20 - u**4/4 + 2*u - 5. Let v be k(3). Let s = -90 - v. What is the tens digit of s?
1
Suppose -3*p = 70 - 76. Suppose l - 239 = -5*b, 5*b = p*l - 0*l + 227. What is the units digit of b?
7
Let t be 32/40*((-2)/(-4) - -2). Suppose 5*n - 91 = x - t*x, 2*x = 5*n + 212. What is the hundreds digit of x?
1
Suppose -30358 = -2*s - 8700. What is the ten thousands digit of s?
1
Suppose -2*w - 4*g + 22770 = 0, 0 = 3*w + 68*g - 72*g - 34215. What is the hundreds digit of w?
3
Let y(j) = j**2 + 6*j + 48. Let k be y(-15). What is the units digit of k + 37 + (-6)/((-2)/(-1))?
7
Suppose -5*s = 2*a - 1533, -5*s + 2*s + 3*a + 903 = 0. Let v = s - 178. Suppose 2*u - 2*k = 5*u - v, 3*u = k + 112. What is the units digit of u?
9
Let h = 15403 - 3021. What is the tens digit of h?
8
Suppose -l + 18813 = 106*t - 101*t, 0 = 5*l - 15. What is the thousands digit of t?
3
Let w(d) = 28*d + 1130. Let j be w(0). Let b = -565 + j. What is the units digit of b?
5
Let r(a) = 388*a + 826. What is the hundreds digit of r(5)?
7
What is the units digit of (645/(-45))/(1/(-339))?
9
What is the thousands digit of (-5 - 0) + 1 + (44 + -40 - -7389)?
7
Let r = -68 - -44. Suppose 91 = 5*g - 59. What is the tens digit of -4*3*g/r?
1
Let d(v) = -2*v + 31 + v + v**2 + 10*v - 6*v. What is the hundreds digit of d(15)?
3
Let t = 5 - 5. Suppose 5*n - 975 = -t*n - 5*x, -n + 4*x = -170. What is the tens digit of n?
9
Let g(m) = 6803*m + 21531. What is the ten thousands digit of g(7)?
6
Let d(f) = -6*f + 46. Let u be d(6). Suppose u = 4*j - 5*j - 3*i, 2*i = -j - 15. Let h(k) = -k + 3. What is the tens digit of h(j)?
2
Let f(n) = n + 17. Let a be f(-13). Suppose 3*p - a*p + 2 = 0. Suppose 9*y - 532 = p*y. What is the units digit of y?
6
Let j = -2735 + 7032. What is the units digit of j?
7
Let i = -21151 - -26839. What is the thousands digit of i?
5
Suppose -35*u + 3*d = -31*u - 275966, 7*u - 2*d = 482934. What is the units digit of u?
0
Suppose 117 = -6*o + 9*o. Let q = o - 84. Let z = -19 - q. What is the tens digit of z?
2
Suppose -2*l = l + m - 1465, l - 499 = -3*m. Suppose -403 = -5*d + l. Suppose -260 = -3*t + d. What is the tens digit of t?
4
Let x(f) = -3*f - 56. Let w be x(-10). What is the units digit of (-12)/9*5421/w?
8
Let j(s) be the first derivative of -6*s**2 + 14*s + 431. Let b = -14 + 8. What is the tens digit of j(b)?
8
What is the thousands digit of (-27)/15 + 28/40*24954?
7
Let s = -525 + -459. Let q = -586 - s. What is the hundreds digit of q?
3
Let k(l) = -l**2 - 130*l + 51. What is the units digit of k(-65)?
6
Let y(t) = 15*t**3 + 2*t**2 + 4*t - 12. Let u be y(-8). What is the hundreds digit of 0 + 2 + u/(-12)?
6
Suppose 2*b = 5*t + 8330, -3*t - 2*t + 10 = 0. What is the hundreds digit of b?
1
Suppose -2810 - 7130 = -10*v. Suppose -v = -15*m + 4706. What is the units digit of m?
0
Let m(d) = 50*d**2 - 19*d - 320. What is the units digit of m(-11)?
9
Suppose -3*w = -5*w + 18. Let u = -17 + 19. Suppose w*z - 4*z + c = 139, u*z - 58 = 2*c. What is the tens digit of z?
2
Let g = 6 - 2. Suppose k + 295 = -g*k. Let l = k + 111. What is the units digit of l?
2
Suppose 65*f = 64*f + 18. Let x be (6/f)/((-1)/(-39)). Suppose 463 = x*p - 850. What is the units digit of p?
1
What is the units digit of 35228/30 - 48/180?
4
Let u(p) = 10*p**2 + 7*p - 7. Let m be u(2). Let o = 139 + m. What is the units digit of o?
6
Let c = 33602 + -15926. What is the ten thousands digit of c?
1
Suppose -4*c - 170 = 6*c. Let f = -21 - c. What is the units digit of (4/6)/(f/(-522))?
7
Let l = -1566 - -3850. Let u = -1322 + l. What is the tens digit of u?
6
What is the tens digit of (-3)/(-18) + 734266/156?
0
Suppose 80574 = 5*v - 5*f - 24306, -2*v + 41972 = 3*f. What is the units digit of v?
0
Let i be 8 - 56 - (1 - 3). What is the tens digit of (-69)/i + (-483)/(-2)?
4
Let z be (5 - 4)*1*0. Suppose z = 21*b - 16*b - 175. Let a = 40 - b. What is the units digit of a?
5
Suppose c - 32 = -27. Suppose c*s + 673 = l, 3*s - 432 = -l + 273. What is the units digit of l?
3
Let w = 20077 + -16706. What is the hundreds digit of w?
3
Let u(a) = 28*a**2 - 3*a - 15. Let d(i) = 3*i**2 - 3*i - 1. Let h be d(-1). What is the hundreds digit of u(h)?
6
Suppose -2*r - 8 = 5*u - 22, -3*u + 35 = 5*r. Suppose 3*s - 644 = -2*w, 5*s = -8*w + r*w + 308. What is the tens digit of w?
2
Suppose -2169 = -8*w + 11*w. Let g = 1050 + w. What is the hundreds digit of g?
3
Let q = -28 + 71. Let d = 34 - q. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
2)/2
Let y(q) be the third derivative of -8*q**7/735 - q**6/60 + q**5/210 + 17*q**2 + 2*q. Factor y(w).
-2*w**2*(w + 1)*(8*w - 1)/7
Let o(v) = 15*v**2 + 42*v - 12. Let h(y) = 26*y - 56*y + 29*y + y**2. Let j(p) = -3*h(p) + o(p). Let j(d) = 0. Calculate d.
-4, 1/4
Find v, given that 40/13*v + 0 + 2/13*v**3 + 18/13*v**2 = 0.
-5, -4, 0
Let r(x) be the second derivative of x**6/40 - 11*x**4/16 + 9*x**3/4 - 3*x**2 + 262*x + 2. Find p, given that r(p) = 0.
-4, 1, 2
Factor 10*o + 5*o**3 + 35/2*o**2 + 0 - 5/2*o**4.
-5*o*(o - 4)*(o + 1)**2/2
Let j(f) = f - 2. Let s(i) = -3*i**2 + 21*i - 24. Let d(t) = 6*j(t) - s(t). Factor d(n).
3*(n - 4)*(n - 1)
Suppose 97 = 5*q + 4*w, -4*w + 5 + 8 = q. Suppose 0 = 6*n - q + 3. Let -3*a**2 - 11*a + 0*a**4 + n*a**3 + 3*a**4 + 8*a = 0. What is a?
-1, 0, 1
Let x(k) = 4*k**4 + 100*k**3 - 168*k**2 + 80*k + 32. Let c(m) = m**4 + 33*m**3 - 56*m**2 + 27*m + 10. Let p(l) = 16*c(l) - 5*x(l). Factor p(g).
-4*g*(g - 4)*(g - 2)*(g - 1)
Let x(d) be the second derivative of -d**6/24 + d**5/12 + 5*d**4/24 - 5*d**3/6 - 4*d**2 - 14*d. Let j(r) be the first derivative of x(r). Factor j(l).
-5*(l - 1)**2*(l + 1)
Let x(z) = -39*z**2 + 40*z + 2. Let i(k) = 2*k**2 - k + 4. Let d(q) = -3*i(q) + x(q). Factor d(r).
-(5*r - 2)*(9*r - 5)
Let v = 755 + -753. Let u(k) be the second derivative of -v*k**3 + 4*k + 1/3*k**4 + 0 + 4*k**2. Find s such that u(s) = 0.
1, 2
Let s(w) = w**2 - 8*w - 13. Let c be s(9). Let g be (c - (-856)/220)/((-6)/40). Factor 4/11*y + 10/11*y**2 + 2/11*y**4 + g*y**3 + 0.
2*y*(y + 1)**2*(y + 2)/11
Let g(q) be the first derivative of 5/4*q**2 + 1/20*q**5 + 3/8*q**4 + q**3 + 3/4*q + 22. Factor g(l).
(l + 1)**3*(l + 3)/4
Let g = -833 + 836. Determine v so that -3/7 + 3/7*v**g + 3/7*v**2 - 3/7*v = 0.
-1, 1
Let c(d) = 2*d**2 - 2*d + 1. Let g be c(2). Let a be -2*-3*12/18. Let 4*y**g - 5*y**5 - 2*y**3 + 2*y**2 + 2*y**a - 4*y**4 + 3*y**5 = 0. Calculate y.
-1, 0, 1
Let q(m) be the third derivative of -m**8/2520 - m**7/630 + m**5/90 + m**4/36 - 4*m**3/3 + 5*m**2. Let z(t) be the first derivative of q(t). Factor z(j).
-2*(j - 1)*(j + 1)**3/3
Let i(b) = b**2 + b - 2. Let q be i(1). Factor 3*g + q*g + 5*g**2 - 8*g.
5*g*(g - 1)
Let c(d) = d**3 + 12*d**2 - 2*d - 256. Let s(f) = -6*f**3 - 60*f**2 + 11*f + 1280. Let w(i) = 11*c(i) + 2*s(i). Suppose w(k) = 0. What is k?
-4, 8
Let v(m) be the third derivative of m**8/20160 - m**7/630 + m**6/45 + 17*m**5/60 + m**2. Let l(f) be the third derivative of v(f). Solve l(g) = 0.
4
Suppose 3*a + 16 = -2*f, 0 = -0*a - 3*a - 4*f - 20. Let i = a + 9. What is s in -3*s + 4 + 6*s**2 + 0*s + i*s - 8 = 0?
-1, 2/3
Let u(w) be the third derivative of -w**8/504 + w**7/315 + w**6/45 - 2*w**5/45 - 21*w**2 + 1. Find o, given that u(o) = 0.
-2, 0, 1, 2
Let i(y) be the second derivative of -y**7/42 + 3*y**6/20 - 3*y**5/20 - 11*y**4/24 + y**3/2 - 119*y. Suppose i(d) = 0. What is d?
-1, 0, 1/2, 2, 3
Let c = 1/1252 + 5633/1252. Factor -c - 3/4*g**2 + 15/4*g.
-3*(g - 3)*(g - 2)/4
Let m be (2/2)/((-10)/(-1550)). Determine p so that 76*p**2 + 74*p**2 + 15*p - m*p**2 = 0.
0, 3
Suppose 668*d + 166*d - 124*d + 191*d = 0. Factor d - 54/13*o**2 - 20/13*o - 10/13*o**3.
-2*o*(o + 5)*(5*o + 2)/13
Let i(g) be the second derivative of -1/5*g**2 - 9*g + 0 + 1/30*g**4 + 0*g**3. Find y such that i(y) = 0.
-1, 1
Solve 45*k**2 - 11*k**2 - 8*k**2 + 16384 - 512*k - 8*k**2 - 14*k**2 = 0.
64
Let q(h) be the third derivative of h**6/255 - 7*h**5/510 - h**4/102 - 7*h**2 + h. Find c, given that q(c) = 0.
-1/4, 0, 2
Let f(a) = 1. Let i(w) = 40*w**2 + 10*w + 16*w - 45*w**2 - w + 25. Let x(g) = -5*f(g) - i(g). Factor x(b).
5*(b - 6)*(b + 1)
Suppose 2*q**2 + 87*q**3 - 45*q**3 + 6*q**2 + 0*q - 44*q**3 - 6*q = 0. What is q?
0, 1, 3
Let r = 191 + -206. Let s be -4*r/(-40) - -3. Factor -s*z - 3/2*z**2 + 3.
-3*(z - 1)*(z + 2)/2
Factor 24
|
{
"pile_set_name": "DM Mathematics"
}
|
r assuming r is positive.
r**(49/11)
Simplify (q**(-4/3)*q*q*q)/q*q*q**(4/11) assuming q is positive.
q**(67/33)
Simplify (s/(s/s**(2/9)))/s**(-2/13) assuming s is positive.
s**(44/117)
Simplify ((u*u**7)/(u/u**(-1/9)))/((u**(4/11)*u)/(u*u**(-9)*u)) assuming u is positive.
u**(-146/99)
Simplify (h/(h/h**(3/14)*h)*h*h)/h*h*h/(h/(h/(h/((h/(h**(-5/2)/h))/h*h)))) assuming h is positive.
h**(40/7)
Simplify (p**4*p**(-2/9))/((p/(p*p/(p*((p/(p*p/(p/(p/(p/(p*p**(-2/11)))))*p))/p)/p)))/(p*(p**(-3)*p)/p)) assuming p is positive.
p**(554/99)
Simplify a**(4/3)*a*a**(-32)*a assuming a is positive.
a**(-86/3)
Simplify (k*k**(-1/2))**(-7/4)*k**(3/10)/(k*k*(k**(2/19)*k)/k) assuming k is positive.
k**(-2037/760)
Simplify x*x**8*x*x*x**(-2/3)*x/x**(2/15)*x/(x/(x**(-2)/x)*x*x) assuming x is positive.
x**(31/5)
Simplify u/(u*u*u/(u**(-16)*u))*u**(-13)*u assuming u is positive.
u**(-29)
Simplify (s*s**26)**11 assuming s is positive.
s**297
Simplify (u/((u/u**(-1/5)*u)/u))/(u**(-6)/u)*((u/u**(2/9))/u)**(1/3) assuming u is positive.
u**(908/135)
Simplify (((z*z**(-4)*z)/z)/z**(4/9))**(11/2) assuming z is positive.
z**(-341/18)
Simplify d**(-3/5)*((d*d/(d/((((d**(-4/9)/d)/d*d)/d)/d))*d*d)/d)/d assuming d is positive.
d**(-137/45)
Simplify (c**(-8))**(-2/9) assuming c is positive.
c**(16/9)
Simplify ((l/l**(1/2)*l)**(-21))**(-16) assuming l is positive.
l**504
Simplify (i*i**5*i**1)/(i**(1/2))**(13/5) assuming i is positive.
i**(57/10)
Simplify (l**4*l*l/l**1)**(-1/23) assuming l is positive.
l**(-5/23)
Simplify (l**(2/7))**(-21/2)/(l**(-1)/l*l**(6/5)) assuming l is positive.
l**(-11/5)
Simplify (c**(11/4))**(-4) assuming c is positive.
c**(-11)
Simplify ((y**(-7)*y)/y**(-1/10))**(11/4) assuming y is positive.
y**(-649/40)
Simplify ((o**(2/7))**30)**(-28) assuming o is positive.
o**(-240)
Simplify p**(3/17)*(p/(p/(p/((p*p**(-28))/p)*p)))/p assuming p is positive.
p**(496/17)
Simplify (o**(2/5))**(-1/63)/((o/o**(-2/17))/o**3) assuming o is positive.
o**(10046/5355)
Simplify (o/o**(-4))**(13/7) assuming o is positive.
o**(65/7)
Simplify q**(-29)*q*q**33/q assuming q is positive.
q**4
Simplify y**(16/5)/(y**(-3/2)*y*y) assuming y is positive.
y**(27/10)
Simplify r**(-12)*r**(-16)*r assuming r is positive.
r**(-27)
Simplify (((a*(a/(a/a**(-3)))/a)/a)/((a/(a/a**(-2/5)*a)*a*a)/a))**7 assuming a is positive.
a**(-126/5)
Simplify y**(-2)*y**(2/7)*y**(-4/3)/y**6 assuming y is positive.
y**(-190/21)
Simplify q**(-1/15)/(q**(1/4)/q*q*q*q) assuming q is positive.
q**(-139/60)
Simplify (k**0/k)**30 assuming k is positive.
k**(-30)
Simplify (i*i**1*i)**(-2/41)/(((i*i*i**(-2/9)/i*i*i)/i)/i**(-2/7)) assuming i is positive.
i**(-5708/2583)
Simplify (u**(-3/14)/(u*u/(u*(u*u**5)/u)))**(-10/9) assuming u is positive.
u**(-265/63)
Simplify (g**(21/2)/g)**(2/25) assuming g is positive.
g**(19/25)
Simplify x**14*x**10 assuming x is positive.
x**24
Simplify b**(3/2)/b**(-6)*b**(-1/8)/(b/((b/((b/b**(-3/5)*b)/b))/b)) assuming b is positive.
b**(191/40)
Simplify (b/b**0*b*b**(-8)*b)**(2/29) assuming b is positive.
b**(-10/29)
Simplify u**(3/29)*u**(-33) assuming u is positive.
u**(-954/29)
Simplify (n**(-1)*n)**(5/13)*(n/(n/n**(-1)*n))**(-1/2) assuming n is positive.
n
Simplify n**5/n**(2/19)*n*n*(n**(-1/3)*n)/n*n*n*n**(-2) assuming n is positive.
n**(374/57)
Simplify s**(-6)*s*s*s**(-6)*s*s**(-3/2)*s/s**(-1/2)*s*s*s*s assuming s is positive.
s**(-5)
Simplify (u*u*u**(-13)*u*u)/(u/(u*u/(u/(u/((u*u*u/u**(-9))/u)*u*u)))) assuming u is positive.
u**(-17)
Simplify l**6/(l**(2/7)*l)*l**0*l*l*l*(l*l*l**(-1/2))/l assuming l is positive.
l**(115/14)
Simplify (j/((j/j**(-1/17))/j*j)*j/(j*j**(-1))*j*j)**(-49) assuming j is positive.
j**(-2450/17)
Simplify (o/(o/(o**(-15)/o)))/o**(-1/59) assuming o is positive.
o**(-943/59)
Simplify (w*w*(w*((w*w**(-20)/w)/w)/w)/w)/(w/w**16) assuming w is positive.
w**(-5)
Simplify v*v*v**16*v*v*v*(v/((v*v**1)/v*v))/v*v*v assuming v is positive.
v**21
Simplify q*q*q**(-2/3)/q*q*q**(-2)/q*(q**(-1/3))**(-3/4) assuming q is positive.
q**(-17/12)
Simplify u**(-2/3)*u*(u*u**(2/17)/u*u)/u*u*u**3*u**6 assuming u is positive.
u**(533/51)
Simplify (((k*k**(-11)*k)/k*k)/(k*k/(k/k**9)))**(-38) assuming k is positive.
k**722
Simplify w**(-1/12)*w*w*w**(-2/39)*w assuming w is positive.
w**(149/52)
Simplify f/(f*f**(-2/23))*f/(f/(f**(1/3)*f))*f assuming f is positive.
f**(167/69)
Simplify ((n/n**(-1/9))/n)/(n/((n**(-17)*n)/n)) assuming n is positive.
n**(-161/9)
Simplify (((x**(-3)*x)/x)/((x/x**(1/6))/x))/(x**(2/5))**41 assuming x is positive.
x**(-577/30)
Simplify m/(m**(10/11)/m)*m**(-6) assuming m is positive.
m**(-54/11)
Simplify q**(8/3)/(q/(q*q**(-2)*q
|
{
"pile_set_name": "DM Mathematics"
}
|
34
Simplify sqrt(102)/(sqrt(6) + (1*sqrt(42))/sqrt(7)).
sqrt(17)/2
Simplify sqrt(66)/(sqrt(36)/sqrt(6)*-2).
-sqrt(11)/2
Simplify 4*sqrt(7) + -1 - (sqrt(252) + sqrt(252)*-1)**2.
-1 + 4*sqrt(7)
Simplify (-4*(((sqrt(468) + 1 - sqrt(468) - sqrt(468)) + sqrt(468) + sqrt(468))*2 + -4 + sqrt(468)*1 + sqrt(468)))**2.
-1536*sqrt(13) + 119872
Simplify (sqrt(112) + sqrt(112)*-2)**2*-1.
-112
Simplify sqrt(99)*-4*3.
-36*sqrt(11)
Simplify -4 + 1*sqrt(17) + (sqrt(68) + -1 - sqrt(68))**2.
-3 + sqrt(17)
Simplify -1 + sqrt(12)/sqrt(4) + (4*(sqrt(3) + -1) - sqrt(3))**2.
-23*sqrt(3) + 42
Simplify (sqrt(1053) + -1 + 5 - (5*(2 + sqrt(1053)) - sqrt(1053)))**2.
324*sqrt(13) + 9513
Simplify (sqrt(76) - -1*-1*sqrt(76))**2.
0
Simplify -4 + sqrt(117)/(sqrt(9) + -2*sqrt(324) - sqrt(9)).
-4 - sqrt(13)/12
Simplify 0 + -5*(0 + sqrt(2))*1.
-5*sqrt(2)
Simplify -2*(sqrt(448) + 5).
-16*sqrt(7) - 10
Simplify 2 + -4*sqrt(114)/sqrt(6).
-4*sqrt(19) + 2
Simplify ((sqrt(2754) - (2*sqrt(2754) - sqrt(2754)))/((sqrt(36)/sqrt(6))/sqrt(3)))**2.
0
Simplify (3*(sqrt(1100) + 1*sqrt(1100) + sqrt(1100) - (sqrt(33)/sqrt(3) + -1)))**2.
522*sqrt(11) + 83268
Simplify 3 + (1*(sqrt(343) + (sqrt(343) + 1 - sqrt(343)) + sqrt(343) + sqrt(343) - sqrt(7)))**2.
40*sqrt(7) + 2804
Simplify (sqrt(228) + sqrt(228) + 1*sqrt(228)*-6)/sqrt(12).
-4*sqrt(19)
Simplify (sqrt(54)*1)/(sqrt(3) - (sqrt(3) + (sqrt(243)*-3 - sqrt(3)))).
3*sqrt(2)/28
Simplify ((sqrt(65) - (sqrt(65) + (sqrt(65) - (sqrt(65)*-1 + sqrt(65) - sqrt(65))*2))) + sqrt(65))/(sqrt(125) - ((sqrt(125) - sqrt(125)*2) + sqrt(125))).
-2*sqrt(13)/5
Simplify (sqrt(3) - sqrt(3)*-2)*6 - (sqrt(24)/sqrt(8) + -1).
1 + 17*sqrt(3)
Simplify -6*(0 + sqrt(7))**2 + 5.
-37
Simplify ((sqrt(77) - sqrt(77)*-2)/sqrt(7) - sqrt(11)) + sqrt(891) + 1.
1 + 11*sqrt(11)
Simplify (4*sqrt(8) + sqrt(4)/sqrt(2) + -5 + sqrt(2))**2.
-100*sqrt(2) + 225
Simplify (5*sqrt(175)/sqrt(5))/sqrt(5).
5*sqrt(7)
Simplify sqrt(720)*-1 + sqrt(5) + -4 + sqrt(5)*2 + sqrt(5).
-8*sqrt(5) - 4
Simplify (sqrt(110) + sqrt(110) + -3*sqrt(110)*-2)/(-6*(sqrt(10) + sqrt(10) + 1*sqrt(10))).
-4*sqrt(11)/9
Simplify sqrt(76)/(-1*sqrt(8)/sqrt(2)).
-sqrt(19)
Simplify (sqrt(500)*-5*-5)**2.
312500
Simplify 5*sqrt(12)/sqrt(6) - (sqrt(2) + 4*sqrt(2)*-3).
16*sqrt(2)
Simplify (sqrt(77)*1*6)/(-1*sqrt(704)).
-3*sqrt(7)/4
Simplify 3*sqrt(1700)*-5.
-150*sqrt(17)
Simplify 3*(3 + sqrt(117) + 1)**2.
72*sqrt(13) + 399
Simplify sqrt(104)/(-1*sqrt(8)) + (sqrt(325) + 0 + sqrt(325))**2.
-sqrt(13) + 1300
Simplify (sqrt(539) + 2)*-4.
-28*sqrt(11) - 8
Simplify (3*(sqrt(114)*-1 + sqrt(114)))/(sqrt(54)*6).
0
Simplify (-3*2*sqrt(70) + sqrt(70) + sqrt(70))/sqrt(10).
-4*sqrt(7)
Simplify sqrt(30)/(-3*sqrt(6)*-2)*-6.
-sqrt(5)
Simplify (sqrt(110) - (sqrt(110) + (2*sqrt(110)*-6 - sqrt(110))))/sqrt(10).
13*sqrt(11)
Simplify 4 + (sqrt(119)*-2*5)/(sqrt(847) + -1*sqrt(847) - sqrt(847)).
10*sqrt(17)/11 + 4
Simplify sqrt(102)/(-2*sqrt(486) + sqrt(486)).
-sqrt(17)/9
Simplify (sqrt(9)*2*-6)/(sqrt(3) - sqrt(18)/sqrt(54)).
-18*sqrt(3)
Simplify 2*(5 + -1 + sqrt(891)).
8 + 18*sqrt(11)
Simplify 1*sqrt(27)/(-2*sqrt(9)).
-sqrt(3)/2
Simplify sqrt(65)/((sqrt(10)/sqrt(2) - sqrt(5) - sqrt(5))*3).
-sqrt(13)/3
Simplify (-4*sqrt(99)*2 - sqrt(99))/(sqrt(72)/(sqrt(16)/sqrt(2))).
-9*sqrt(11)
Simplify ((sqrt(1053) - 2*sqrt(1053)) + 2)**2 + (sqrt(1053) - (-3 + sqrt(1053) + 0 + sqrt(1053)) - sqrt(1053))**2 + 3.
-144*sqrt(13) + 5281
Simplify (sqrt(833) - (sqrt(833) + 4*(sqrt(833)*-1 - sqrt(833)))) + (sqrt(833) + (6*(-1 + sqrt(833)))**2 - sqrt(833)).
-448*sqrt(17) + 30024
Simplify (1 + sqrt(1300))*-3*-5.
15 + 150*sqrt(13)
Simplify (sqrt(7) + -1)*4 - 1*(0 + sqrt(7) - sqrt(7))**2.
-4 + 4*sqrt(7)
Simplify (4*sqrt(325))**2*6.
31200
Simplify ((sqrt(7) + (sqrt(112)/sqrt(4))/sqrt(4) - (sqrt(7) + sqrt(700) + 1)) + -1 + -1 + sqrt(7) + (sqrt(84)*1 + sqrt(84))/sqrt(12))**2.
36*sqrt(7) + 261
Simplify (-4 + -1 + 1 + -2*sqrt(11))**2.
16*sqrt(11) + 60
Simplify (-2*(sqrt(19) + (1*sqrt(228))/sqrt(12) + sqrt(19) - (-2*sqrt(19) + -1)))**2.
40*sqrt(19) + 1904
Simplify (sqrt(13)*2 + sqrt(13))**2 + 4 + sqrt(637) + 0.
7*sqrt(13) + 121
Simplify (0 + -1 + sqrt(19))*3.
-3 + 3*sqrt(19)
Simplify -2 + (sqrt(704) - (sqrt(704)*-2)**2) - (sqrt(66) - (sqrt(66)*-2 - sqrt(66))*5)/sqrt(6).
-2818 - 8*sqrt(11)
Simplify (-6*(sqrt(2) + (1*sqrt(18) - sqrt(18))/sqrt(9) + (-1*sqrt(2) - sqrt(2))*1))**2.
72
Simplify (4 + (sqrt(52)/sqrt(4) - sqrt(13)) + 3*sqrt(208))**2.
96*sqrt(13) + 1888
Simplify 2 + sqrt(11) + sqrt(11) + 3 + sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2*i**2 - 70*i + 424. Determine p(5).
-1
Let h(t) = 254*t + 2828. Determine h(-11).
34
Let w(t) = 2*t**3 + 169*t**2 + 84*t + 1. Calculate w(-84).
1
Let p(k) = -1226*k + 29420. Calculate p(24).
-4
Let k(i) = 10*i**2 - 271*i + 1108. Give k(5).
3
Let b(r) = r**2 + 12*r - 69. Calculate b(-17).
16
Let q(c) = c**3 + 12*c**2 - 42*c + 29. Determine q(-15).
-16
Let b(d) = 8*d**2 - 2071*d - 17073. Calculate b(-8).
7
Let a(q) = -51*q + 313. Determine a(5).
58
Let c(s) = 8*s**3 + 117*s**2 - 42*s + 40. Calculate c(-15).
-5
Let f(g) = g**3 - 40*g**2 - 43*g + 84. What is f(41)?
2
Let d(u) = 674*u + 672. Determine d(-1).
-2
Let m(w) = 35*w - 974. Give m(28).
6
Let a(i) = i**2 + 20*i - 49. Give a(-23).
20
Let a(v) = 2*v**3 - 56*v**2 + 65*v - 302. What is a(27)?
-5
Let m(d) = -d**3 - 51*d**2 + 612*d + 136. Give m(-61).
14
Let g(r) = 2*r**2 - 152*r - 328. Determine g(78).
-16
Let v(o) = o**3 - 5*o**2 + 2*o - 94. What is v(6)?
-46
Let c(m) = -83*m + 298. Calculate c(3).
49
Let z(m) = 187*m + 1691. Give z(-9).
8
Let k(p) = 2*p**2 - 37*p - 198. Determine k(-8).
226
Let d(a) = a**3 - 36*a**2 + 156*a - 39. What is d(31)?
-8
Let a(f) = -15*f + 30. Calculate a(-23).
375
Let y(b) = -b**3 + 14*b**2 + 53*b - 321. Determine y(16).
15
Let c(q) = -123*q + 488. What is c(4)?
-4
Let c(n) = -10*n**2 + 437*n - 727. What is c(42)?
-13
Let x(g) = 37*g + 499. Give x(-19).
-204
Let j(v) = -v**2 - 89*v - 581. Calculate j(-82).
-7
Let h(s) = 30*s**2 - 1025*s + 4499. Determine h(29).
4
Let t(f) = -100*f - 217. What is t(-2)?
-17
Let h(r) = -4*r - 28. What is h(-11)?
16
Let j(w) = 67*w + 766. Determine j(-10).
96
Let g(y) = 19*y + 23. Determine g(-1).
4
Let v(g) = 52*g**2 - 1874*g + 89. Determine v(36).
17
Let r(f) = -47*f + 51. Calculate r(3).
-90
Let v(u) = u**3 + 8*u**2 + 16*u + 132. Determine v(-6).
108
Let q(n) = 5630*n - 33768. Determine q(6).
12
Let p(n) = 10*n**2 + 90*n + 17. Determine p(-9).
17
Let m(o) = -2277*o - 2298. Calculate m(-1).
-21
Let x(p) = 2*p**2 + 130*p - 22. Give x(-65).
-22
Let p(f) = f**2 - 133*f + 1262. Give p(10).
32
Let x(h) = -53*h**2 - 2176*h + 26. What is x(-41)?
149
Let b(x) = 2*x**3 - 59*x**2 - 152*x - 254. Give b(32).
2
Let m(i) = -56*i - 46. Calculate m(1).
-102
Let c(w) = 3*w**2 + 269*w - 3791. Calculate c(-102).
-17
Let o(c) = -834*c + 14324. Calculate o(17).
146
Let s(o) = -3*o**3 - 4*o**2 + 5*o - 3. Determine s(3).
-105
Let p(k) = 18*k - 76. What is p(5)?
14
Let b(s) = s**3 - 8*s**2 + 17*s - 11. Give b(1).
-1
Let z(j) = -7*j**2 - 32*j - 33. Determine z(-3).
0
Let c(z) = 17*z + 160. Determine c(-11).
-27
Let w(h) = -2*h**3 + 9*h**2 - 11*h + 12. Determine w(4).
-16
Let d(s) = -4*s**2 - 368*s + 385. What is d(-93)?
13
Let c(o) = -o**2 - 6*o - 18. What is c(-6)?
-18
Let u(o) = -58*o - 365. Give u(-7).
41
Let r(a) = a**2 + a - 36. Give r(5).
-6
Let l(z) = -6*z - 118. Calculate l(-8).
-70
Let m(n) = -n**3 + 9*n**2 + 77*n + 22. What is m(-5)?
-13
Let i(r) = -373*r**3 - r**2 + 2. Give i(1).
-372
Let x(p) = p**3 - 57*p**2 - 524*p + 261. Give x(65).
1
Let k(w) = 71*w + 2066. Give k(-29).
7
Let t(k) = k**3 + 80*k**2 + 273*k + 3236. Calculate t(-77).
2
Let d(z) = 2*z**3 - 14*z**2 + 12*z - 5. Calculate d(5).
-45
Let l(d) = -d**2 - 16*d + 1370. Determine l(30).
-10
Let t(h) = 7*h**2 - 46*h - 149. Give t(9).
4
Let v(k) = -63*k + 555. Determine v(9).
-12
Let y(j) = -j**3 + 15*j**2 + 11*j + 399. Calculate y(17).
8
Let a(j) = -10*j**2 + 6*j + 1. Calculate a(-5).
-279
Let b(v) = -v**2 + 29*v - 209. Calculate b(12).
-5
Let h(d) = 260*d + 5199. Give h(-20).
-1
Let u(n) = 2*n**2 + 12*n - 384. What is u(-17)?
-10
Let i(r) = 4*r**2 - 42*r + 28. What is i(11)?
50
Let l(a) = -90*a + 869. What is l(8)?
149
Let s(d) = -42*d**2 + 294*d + 8. Calculate s(7).
8
Let q(y) = 45*y**2 + 1. What is q(-1)?
46
Let v(s) = 26*s + 253. What is v(-8)?
45
Let u(d) = d**3 - 54*d**2 - 177*d + 403. Calculate u(57).
61
Let k(i) = -24*i + 167. Determine k(8).
-25
Let p(j) = -j**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
in ascending order.
-76.6, -1, 0, 0.1, 3/4
Sort -3.1, 2, -1/3, -338.
-338, -3.1, -1/3, 2
Sort -87, -0.15, -5, 0 in decreasing order.
0, -0.15, -5, -87
Sort 0.4, -3948, -0.055 in descending order.
0.4, -0.055, -3948
Sort -0.01, -1, 3, -22, -0.1 in increasing order.
-22, -1, -0.1, -0.01, 3
Put 8, 367, -27 in decreasing order.
367, 8, -27
Sort 72, 5, 33 in decreasing order.
72, 33, 5
Put -1184, -1, -5, 5 in decreasing order.
5, -1, -5, -1184
Sort -0.03, -590, 0 in decreasing order.
0, -0.03, -590
Put -15, 8, 1, 0, 6 in descending order.
8, 6, 1, 0, -15
Sort -5, -15, 5535, 6.
-15, -5, 6, 5535
Put 744, -0.5, -2.6 in ascending order.
-2.6, -0.5, 744
Put 25, -384, -2, 1, 5, 0 in ascending order.
-384, -2, 0, 1, 5, 25
Put 0.74, -0.01, -34/3 in increasing order.
-34/3, -0.01, 0.74
Sort 3, -3, 0, -2, 214 in descending order.
214, 3, 0, -2, -3
Put -95431, 3/2, 0 in decreasing order.
3/2, 0, -95431
Sort 2, -2, -419, 7 in decreasing order.
7, 2, -2, -419
Put 3, -24011, 5 in descending order.
5, 3, -24011
Sort -5/29, 2, 4, -0.1, 2/9 in increasing order.
-5/29, -0.1, 2/9, 2, 4
Put 0.3, -2/23, 0.03, -53/5 in increasing order.
-53/5, -2/23, 0.03, 0.3
Sort 0.5, 2, -16484, -7 in decreasing order.
2, 0.5, -7, -16484
Sort -21, 106/7, 1127.
-21, 106/7, 1127
Sort -2, -42189, -16.
-42189, -16, -2
Sort 1, -903, 107, 0 in ascending order.
-903, 0, 1, 107
Sort 1934, -1, -10 in increasing order.
-10, -1, 1934
Put 0, -48, -3, -1, -2 in decreasing order.
0, -1, -2, -3, -48
Sort 3, -4, -15, 35 in increasing order.
-15, -4, 3, 35
Put -22, 2, 1, -13, -2 in increasing order.
-22, -13, -2, 1, 2
Sort 3, -25, -5, 0 in decreasing order.
3, 0, -5, -25
Sort -138, -5/2, 0, -0.4, -9 in decreasing order.
0, -0.4, -5/2, -9, -138
Sort -17, -3, -2, 1591.
-17, -3, -2, 1591
Put -9791, -1, -5, 0 in increasing order.
-9791, -5, -1, 0
Sort -2, -530, 7, -5, -4, -24.
-530, -24, -5, -4, -2, 7
Put 2, -8, -2, -218 in ascending order.
-218, -8, -2, 2
Put 3, 42446, 4, 76 in ascending order.
3, 4, 76, 42446
Sort -5, 18, -179 in descending order.
18, -5, -179
Put 2, 3, 116212 in decreasing order.
116212, 3, 2
Put 1/2, 23, -69/4, 0.4 in decreasing order.
23, 1/2, 0.4, -69/4
Sort -3021/5, -33, -5 in decreasing order.
-5, -33, -3021/5
Sort -91, -18, -2, 12, 5.
-91, -18, -2, 5, 12
Put 3, 2, -79, -3, -1 in decreasing order.
3, 2, -1, -3, -79
Sort -0.1, -100, -0.02, -1/23 in decreasing order.
-0.02, -1/23, -0.1, -100
Put -5, -2, -6732 in increasing order.
-6732, -5, -2
Sort -9, -10, -56.
-56, -10, -9
Sort -22116, 0.5, 5/4, -5.
-22116, -5, 0.5, 5/4
Put -13176, -3, 3, 2, 0, 16 in decreasing order.
16, 3, 2, 0, -3, -13176
Put -1, -3, -4, 102218 in increasing order.
-4, -3, -1, 102218
Sort -2/17, 9002, 5, 3/2 in descending order.
9002, 5, 3/2, -2/17
Sort -2/9, 2, 3525, 1, 0.1 in descending order.
3525, 2, 1, 0.1, -2/9
Put -26, -2/7, -5, -434 in increasing order.
-434, -26, -5, -2/7
Sort -10, 2, 4, -5, -27, 5 in decreasing order.
5, 4, 2, -5, -10, -27
Sort 0, 2, 4, 4909 in ascending order.
0, 2, 4, 4909
Sort 2, 0.253, -0.5, -0.3, 12/23 in ascending order.
-0.5, -0.3, 0.253, 12/23, 2
Put -5, 16, 3, 0, -1, 316 in increasing order.
-5, -1, 0, 3, 16, 316
Sort -33, -11, 6, -9, -5.
-33, -11, -9, -5, 6
Put -5, 11, -8, 155, 5 in decreasing order.
155, 11, 5, -5, -8
Sort 7, 6, -10, 0, -4 in ascending order.
-10, -4, 0, 6, 7
Sort -5, 24, 28, -30, 0 in increasing order.
-30, -5, 0, 24, 28
Put 5, -4, -80.4, 0.4, -6, 3 in decreasing order.
5, 3, 0.4, -4, -6, -80.4
Sort -4, -5, 5, 58, 0, 11 in decreasing order.
58, 11, 5, 0, -4, -5
Sort 0.02, -5, -4, 235 in descending order.
235, 0.02, -4, -5
Put -0.1, -5/1209, 2, 2/5 in increasing order.
-0.1, -5/1209, 2/5, 2
Put 3, 1, -15019 in descending order.
3, 1, -15019
Put 0.3, 3, 1/2, 39 in ascending order.
0.3, 1/2, 3, 39
Sort -0.3, 5, 0.04, -3/76, -1.4 in ascending order.
-1.4, -0.3, -3/76, 0.04, 5
Sort -4, -65802, 3 in increasing order.
-65802, -4, 3
Sort 4, -3258, 46 in increasing order.
-3258, 4, 46
Sort 2/15, 34, 0, 0.01 in increasing order.
0, 0.01, 2/15, 34
Sort -3, -8, -1, -40, 2, -5.
-40, -8, -5, -3, -1, 2
Sort
|
{
"pile_set_name": "DM Mathematics"
}
|
Let m be d(-5). Let i = -5 - -8. Which is the closest to -1? (a) i (b) m (c) r
b
Let w be 0/(-2) + 4/(-3). Let k = 538 + -542. What is the nearest to 2 in k, 0.2, w?
0.2
Let j be ((50/16)/1)/(870/696). Let w = 0.06 - 2.06. Which is the nearest to 1? (a) 0.3 (b) w (c) j
a
Let x = -328/501 - 2/167. Which is the nearest to -8? (a) -2 (b) x (c) 0.4
a
Let j = -582 + 583. Let d = -0.13 + 0.03. Which is the nearest to -0.1? (a) j (b) d (c) 2/7
b
Suppose 5*d - 5*t = 10, 55*d - 34 = 58*d + 5*t. What is the closest to -3 in d, 12, -0.1, 2?
d
Let t = 5 + -4.6. Let v be 1 + 2/(-3) - (-2)/12. Which is the closest to -2/3? (a) v (b) -3 (c) t
c
Let x = -0.146 + -0.054. Let u(z) = 104*z - 1. Let d be u(1). Let w = d + -720/7. What is the nearest to x in 0, w, -4?
0
Let q = 2 + -2.04. Let z be (-3)/(12/34) + -1 + (13 - 4). Which is the nearest to z? (a) q (b) 0.5 (c) -4
a
Let s(n) = -n**3 - 17*n**2 + n. Let x be s(-17). Which is the closest to 1? (a) -5 (b) 2/13 (c) x
b
Let x be (2/8 + 0)*88/(-33). Suppose -2*m - 9 = m - 2*z, -4*m - 4*z = -8. Let d be (m/6)/(1/(-2)). Which is the nearest to d? (a) -2/5 (b) -2 (c) x
a
Let s = 392 - 391.5. Suppose 0 = -q - z + 1, -3*q - z + 3 = 0. Let v = -0.1 - 0.3. Which is the nearest to q? (a) s (b) 3/7 (c) v
a
Let h = 4.77 - 4.82. What is the closest to h in -3, -0.1, -1?
-0.1
Let d = 0.79 - 0.09. Let g = d - 1. Let v = -5.2 - -5. Which is the closest to -1/2? (a) -0.1 (b) g (c) v
b
Let p = -0.179 + 0.579. Let s = 3.3 - 3. What is the nearest to 0.1 in s, 1, p?
s
Let s be 3/(-9) + 2/3. What is the closest to -5/2 in s, -0.2, -4?
-4
Let k = 34 + -16. Suppose 3*w - 6 = 2*y, -w - 2*y = 2*w - k. What is the nearest to -1/2 in -0.5, -4, w?
-0.5
Let d = 1549.1 + -1629. Let z = d - -66. Let s = -14 - z. What is the closest to 2 in 1, -1/6, s?
1
Let l be ((-21)/(-45))/(91/39). Let m = 3 - 2. What is the nearest to m in -1/21, -1/3, l?
l
Let b = 1 - 0.9. Let x = -22.1 - 6.9. Let i = 24 + x. What is the closest to 0 in 2/11, b, i?
b
Let h = 2/173 - -109/5536. Let w = -15/32 - h. Let l = 1626/11 + -148. Which is the closest to 0? (a) w (b) -1 (c) l
c
Let d = 2.08 + -0.08. Let v = -2/413 + 844/3717. What is the nearest to d in -0.3, v, 3?
3
Let x be (-15)/(1350/12) - (-1)/(-6). Which is the nearest to 1? (a) 5 (b) x (c) 1
c
Let l = -0.1 - -0.3. Suppose 5*m + 3*f = -21, 6*f = 4*m + 5*f + 27. Let r be 1/(21/m)*1. Which is the nearest to -1/3? (a) r (b) -3/4 (c) l
a
Let k = -32.34 - -30.34. Let h = 2 + -3. What is the closest to 3 in k, h, 0.2?
0.2
Let l = -2.5 - 0.5. Let v = 21.9 - 20. Let p = v + -0.9. Which is the closest to 0.1? (a) 0.02 (b) l (c) p
a
Let g = -24 - -24.5. Which is the closest to -2/7? (a) 14 (b) 0.4 (c) g
b
Suppose 2*o + 5*y + 125 = 443, -468 = -3*o - 3*y. Let r be 33/o*4/3. Which is the closest to 3? (a) -1 (b) -3 (c) r
c
Let t = -117.2 + 117. Let w(f) = f + 33. Let x be w(0). Let k be 3/44 - (-6)/x. What is the nearest to -1/2 in t, 0.4, k?
t
Let f = -0.3 - -0.5. Let j = 0.15 - -7.85. Let h = -10 + j. What is the closest to f in h, 3/5, 3?
3/5
Let g = 1836 + -1836. Which is the closest to -2? (a) 1/7 (b) g (c) 0.01 (d) -3
d
Let g = 103 - 63. Let h = g - 40.4. Suppose -4*p + 20 = -4*z, 5*z = z + 2*p - 10. Which is the nearest to -0.1? (a) h (b) z (c) -1
b
Let i be (699/(-28))/(9 + -3). Let j = i - -31/8. What is the closest to 2/5 in -0.4, j, 0.1?
0.1
Let j = 56.23 + -1.23. Let i = 56 - j. What is the closest to 10 in 2, i, 0.1?
2
Let k be 245/21 - 1/(-3). Suppose x + 5*x = k. What is the closest to 59 in x, 1/4, 0.4?
x
Let k = -670.03 + 650. Let h = k - -20. Let g be (2/(-5))/((-3)/(-5)). What is the nearest to 0 in h, 4, g?
h
Let q = 383.3 - 383. Let h be 5/3 + 4 + -5. Which is the nearest to h? (a) q (b) 1 (c) 2
b
Let p = -92 - -64. Let m = p - -32. Let y be 3 + 1 + (-68)/18. Which is the closest to -1? (a) m (b) y (c) 3
b
Let l = -3.22 + 0.26. Let x = l - -1.96. Let d be ((-1)/5)/(12/(-15)). What is the nearest to d in -2/13, -2/7, x?
-2/13
Let q = -286 - -199. Let k = 260/3 + q. What is the closest to 2/3 in -4, -5, k?
k
Let d = -81/
|
{
"pile_set_name": "DM Mathematics"
}
|
nt from {r: 2, x: 2, v: 1, q: 1, h: 1}?
2/105
What is prob of sequence ppm when three letters picked without replacement from mmmmmmmmpmmpm?
1/78
What is prob of sequence uojz when four letters picked without replacement from vovtuzozjttt?
1/2970
Calculate prob of sequence suv when three letters picked without replacement from {a: 3, v: 5, u: 2, t: 3, s: 3}.
1/112
Four letters picked without replacement from {j: 2, t: 1, x: 4, e: 2, r: 3, s: 6}. Give prob of sequence sres.
1/408
What is prob of sequence hwk when three letters picked without replacement from {t: 1, w: 2, h: 2, k: 7}?
7/330
Three letters picked without replacement from {s: 4, c: 6, i: 3, j: 6}. Give prob of sequence ijs.
4/323
What is prob of sequence vxvx when four letters picked without replacement from hhhvhxvhx?
1/756
Three letters picked without replacement from rrrrvvv. What is prob of sequence rrv?
6/35
What is prob of sequence mw when two letters picked without replacement from {w: 11, m: 1}?
1/12
Four letters picked without replacement from {t: 4, x: 6}. What is prob of sequence ttxx?
1/14
Three letters picked without replacement from {x: 2, l: 2, k: 6, j: 3, u: 1}. Give prob of sequence kxl.
1/91
Three letters picked without replacement from rvrrrrrvrrrv. What is prob of sequence rrr?
21/55
Calculate prob of sequence nnnq when four letters picked without replacement from {n: 4, q: 3}.
3/35
Four letters picked without replacement from ytsdk. Give prob of sequence kstd.
1/120
Two letters picked without replacement from {v: 10}. Give prob of sequence vv.
1
Calculate prob of sequence rg when two letters picked without replacement from {r: 5, s: 5, g: 1}.
1/22
Four letters picked without replacement from {p: 4, r: 8, l: 5}. What is prob of sequence rplp?
1/119
What is prob of sequence tt when two letters picked without replacement from {s: 4, x: 6, t: 2}?
1/66
Calculate prob of sequence kk when two letters picked without replacement from {u: 2, k: 3}.
3/10
Calculate prob of sequence ll when two letters picked without replacement from {a: 1, l: 2, b: 1}.
1/6
What is prob of sequence qq when two letters picked without replacement from {l: 2, c: 1, n: 1, q: 3, m: 2, k: 6}?
1/35
Four letters picked without replacement from vdqqkqdckcvcv. What is prob of sequence vvkd?
1/715
Calculate prob of sequence hhlk when four letters picked without replacement from klhkkhhl.
3/140
Four letters picked without replacement from lllallllllllalalalll. Give prob of sequence alll.
112/969
Three letters picked without replacement from ejajeeeeoteajoeee. Give prob of sequence etj.
9/1360
What is prob of sequence if when two letters picked without replacement from xixixipixfpppai?
1/42
Calculate prob of sequence qp when two letters picked without replacement from {z: 1, k: 2, b: 1, p: 1, q: 1, x: 1}.
1/42
Two letters picked without replacement from gagaagxxgxggagaga. Give prob of sequence ga.
3/17
Calculate prob of sequence ddr when three letters picked without replacement from rdddrdddd.
1/6
Three letters picked without replacement from mmvvfmfvvvm. Give prob of sequence vmv.
8/99
Calculate prob of sequence uaa when three letters picked without replacement from {x: 3, i: 1, q: 2, u: 2, a: 4, d: 2}.
1/91
Three letters picked without replacement from {z: 2, s: 4, r: 5, b: 1, k: 2}. What is prob of sequence zsk?
2/273
Two letters picked without replacement from xxdxd. What is prob of sequence xx?
3/10
What is prob of sequence ns when two letters picked without replacement from snssssssssssssnn?
13/80
Three letters picked without replacement from {b: 2, x: 2}. Give prob of sequence bxx.
1/6
Two letters picked without replacement from vuu. Give prob of sequence uv.
1/3
Four letters picked without replacement from slellsel. Give prob of sequence esel.
1/105
What is prob of sequence zzz when three letters picked without replacement from {z: 9, r: 11}?
7/95
Two letters picked without replacement from yppikkyyyk. Give prob of sequence kk.
1/15
What is prob of sequence yyjj when four letters picked without replacement from jyjjjyyyyyjjjjjjyjyy?
22/323
Calculate prob of sequence knha when four letters picked without replacement from {k: 1, n: 1, a: 1, h: 2}.
1/60
Calculate prob of sequence crc when three letters picked without replacement from sprrrrlcscrycsr.
6/455
Three letters picked without replacement from {g: 8, f: 7, z: 5}. What is prob of sequence gzf?
7/171
Four letters picked without replacement from hghjghghjthghvd. Give prob of sequence dgvg.
1/2730
Two letters picked without replacement from {m: 2, y: 1}. Give prob of sequence ym.
1/3
Two letters picked without replacement from {o: 1, g: 7, w: 2, r: 2}. What is prob of sequence ww?
1/66
What is prob of sequence rr when two letters picked without replacement from drhhlhhhrdqdrhhhhq?
1/51
Calculate prob of sequence nn when two letters picked without replacement from {b: 2, n: 6, q: 1, t: 2}.
3/11
Two letters picked without replacement from {i: 6, m: 1, t: 1, j: 10, c: 2}. What is prob of sequence mc?
1/190
Four letters picked without replacement from thtiih. Give prob of sequence ihth.
1/45
Four letters picked without replacement from uuuuuuhuuuuuhuhuuu. What is prob of sequence uuhh?
7/408
Three letters picked without replacement from {u: 2, l: 5}. Give prob of sequence uul.
1/21
Calculate prob of sequence zk when two letters picked without replacement from zgzgzkgzgzg.
1/22
Four letters picked without replacement from wcwcqqhcck. Give prob of sequence wqhq.
1/1260
What is prob of sequence sm when two letters picked without replacement from mmsmsmmsmm?
7/30
Two letters picked without replacement from {m: 7, n: 3}. Give prob of sequence mn.
7/30
Two letters picked without replacement from ggmmmgmmmmggg. Give prob of sequence gm.
7/26
Calculate prob of sequence sfi when three letters picked without replacement from ififfvefiffsvifffv.
1/136
Three letters picked without replacement from {i: 7, k: 5}. What is prob of sequence iik?
7/44
Three letters picked without replacement from sfpyypscsywcfsc. What is prob of sequence spc?
4/455
Two letters picked without replacement from {p: 2, b: 1, n: 1, f: 2}. Give prob of sequence pn.
1/15
Two letters picked without replacement from cccccccccc. What is prob of sequence cc?
1
Three letters picked without replacement from jjtgittyjiiygigigydj. What is prob of sequence dig?
1/342
Calculate prob of sequence jnjm when four letters picked without replacement from ngjnnmnj.
1/210
Calculate prob of sequence ff when two letters picked without replacement from yzouuouyouofyoy.
0
Three letters picked without replacement from {d: 7, y: 5, z: 4, l: 3}. Give prob of sequence ydy.
70/2907
Calculate prob of sequence ek when two letters picked without replacement from aachake.
1/42
Two letters picked without replacement from lzvzzvzzvo. Give prob of sequence vv.
1/15
What is prob of sequence ff when two letters picked without replacement from {f: 2
|
{
"pile_set_name": "DM Mathematics"
}
|
the derivative of -4157295*c**3 + 3256556 wrt c?
-12471885*c**2
What is the third derivative of 2*l**4*n - 25*l**4 - 1095*l**3*n + 3*l**3 + 22*l**2*n - 219*l**2 + l*n + 2*n wrt l?
48*l*n - 600*l - 6570*n + 18
Find the second derivative of 2*k**4 + 14932*k**3 - 695*k + 3.
24*k**2 + 89592*k
What is the second derivative of -8*g**2*k*p**2 + 2192*g**2*k*p + g**2*z + g*k + 293*g*p**2*z + 6*g*z + 2*g + 2 wrt g?
-16*k*p**2 + 4384*k*p + 2*z
Find the second derivative of -3*g*k**2*r**2 - 9498*g*k**2 + 73*g*k - g*r + 8*g - 2*k**2*r**2 + k*r**2 - 2 wrt k.
-6*g*r**2 - 18996*g - 4*r**2
What is the third derivative of -144114*f**5 + 3*f**2 - 3407 wrt f?
-8646840*f**2
Find the third derivative of -15*n**4*q + 114*n**4 - 5*n**2*q - 2*n**2 + 5*n*q + 492 wrt n.
-360*n*q + 2736*n
Find the third derivative of 690*z**6 - 23481*z**2 wrt z.
82800*z**3
Find the second derivative of -1262413*j**5 - 2*j**2 + 832392*j wrt j.
-25248260*j**3 - 4
Find the second derivative of 44*x**3 - 166*x**2 + 25165*x + 8 wrt x.
264*x - 332
Find the second derivative of 270*q**5*u - 1589*q**4*u + 264*q*u + q + 6*u + 5 wrt q.
5400*q**3*u - 19068*q**2*u
Find the third derivative of -268*k**4 + 425*k**3 - 14663*k**2 + 8*k.
-6432*k + 2550
Differentiate -94513*v + 80849 wrt v.
-94513
Find the first derivative of -34640*d**2*k**2 + 4*d**2*k - 119387*d**2 wrt k.
-69280*d**2*k + 4*d**2
Find the third derivative of -3*s**6 + 25000*s**5 + s**2 - 19749.
-360*s**3 + 1500000*s**2
What is the third derivative of -344863*n**5 - 69705*n**2?
-20691780*n**2
Find the third derivative of 14*p**6 - 3*p**5 + 65*p**3 + p**2 + 5582*p.
1680*p**3 - 180*p**2 + 390
What is the third derivative of -861399*a**4 + 5*a**2 - 181674*a wrt a?
-20673576*a
What is the second derivative of 5430*k**2 - 12718*k?
10860
Find the third derivative of -g**4 - 629746*g**3*k + 3*g**2 - 17*g*k - 3*g + 9*k + 1 wrt g.
-24*g - 3778476*k
What is the second derivative of 181315*n**5 + 2901*n wrt n?
3626300*n**3
Find the second derivative of 9*k**3*p**3 + 19*k**3 - 23*k**2*p**2 + 93*k**2*p + k**2 + 15*k*p**3 + 2*k*p wrt p.
54*k**3*p - 46*k**2 + 90*k*p
What is the third derivative of -28*w**5 + 3*w**4 + 9*w**3 + 19*w**2 - 730*w wrt w?
-1680*w**2 + 72*w + 54
Differentiate -600*l**2 + 17*l + 12398 with respect to l.
-1200*l + 17
What is the second derivative of 742899*w**3 + 21704*w + 13?
4457394*w
Find the second derivative of -71098*l**5 + 2*l**4 + l**3 + 2*l + 21613.
-1421960*l**3 + 24*l**2 + 6*l
What is the second derivative of -37406*c**4*j + 6*c**3*j*l - 2*c*j*l - c*j - 4*c*l + 2*j*l - 3*j + 59 wrt c?
-448872*c**2*j + 36*c*j*l
Find the third derivative of -150812*d**6*h**3 + d**3*h**3 - d**2*h**3 + 86*d**2*h - d*h**2 - 337*h**3 wrt d.
-18097440*d**3*h**3 + 6*h**3
What is the derivative of -42*p**2 - 6487*p - 437588 wrt p?
-84*p - 6487
Find the second derivative of 136*z**3 - 172*z**2 + 14467*z wrt z.
816*z - 344
Differentiate -92387*p**3 - 1450150.
-277161*p**2
Find the third derivative of 3087*a**4 - 125*a**3 - 28*a**2 + 18*a - 83 wrt a.
74088*a - 750
What is the third derivative of 12096*c**3*u**3 - 269*c**3 - 49*c**2*u + c*u**2 wrt u?
72576*c**3
Find the second derivative of -1166773*r**2 + 1578026*r.
-2333546
What is the second derivative of -3*p**3 + 50957*p**2 + 59458*p?
-18*p + 101914
Differentiate -879227*q**2 - 1038426 wrt q.
-1758454*q
Find the second derivative of -32802*l**3*t**3 - 281*l**3*t + 30*l**2*t**5 - 5*l**2*t - 7*l wrt t.
-196812*l**3*t + 600*l**2*t**3
Differentiate -27*b**2*g**3 + 3116*b*g**3 - 56239*g**3 - 2*g**2 with respect to b.
-54*b*g**3 + 3116*g**3
What is the third derivative of -j**4 + 1151586*j**3 + 3*j**2 + 4*j - 106?
-24*j + 6909516
Find the third derivative of 2*c**3*g*j + 2*c**3*g - 1360*c**3*j - 29*c**2*g*j + 3*c*g*j + 5*g - 15 wrt c.
12*g*j + 12*g - 8160*j
What is the derivative of 1016814*y - 248097?
1016814
What is the second derivative of 59280*x**5 + x**4 + x - 26114?
1185600*x**3 + 12*x**2
Differentiate 4770*s*y + 29*s + 35847*y with respect to s.
4770*y + 29
What is the second derivative of -480748*c**2*m**2 - 13*c*m + 15372*m**2 wrt c?
-961496*m**2
What is the second derivative of -7392*q**2*w**3 - 3998*q + 2*w**3 wrt q?
-14784*w**3
Differentiate 237*f*m + 2168*f - 4*m - 142584 wrt f.
237*m + 2168
Find the third derivative of 4162*p**2*u**2
|
{
"pile_set_name": "DM Mathematics"
}
|
0.04 + -2.04. Which is the third biggest value? (a) k (b) -4 (c) n
b
Let g be 2/(-6)*(-6)/((-6)/3). What is the biggest value in -2, 2/5, g, -3/2?
2/5
Let l be (-1)/6 - 35/294. Which is the second smallest value? (a) -0.1 (b) l (c) 0
a
Let o be 3/12 - (-30)/(-88). What is the third smallest value in o, -0.05, -2/7?
-0.05
Let j(v) = -v + 10. Let a be j(10). Let k be -4 - (15/(-6) - 1). What is the second smallest value in a, k, 4?
a
Let s be 1/(-22)*(2 - -2). Let q = 0.3 - 5.3. Which is the biggest value? (a) s (b) q (c) -3
a
Let g be 2/(-7) + (-52)/14. Suppose 0 = -2*q - 3*q + 30. Let y be (-3)/q*(-2)/(-10). What is the smallest value in g, y, -2?
g
Let h = 6/37 - 116/259. Which is the biggest value? (a) h (b) -3/5 (c) 2 (d) 16
d
Let d(v) = v**3 - 13*v**2 - 31*v + 17. Let b be d(15). What is the smallest value in 5, b, 4.9?
b
Let x be 9/15 - (-18)/120. What is the second smallest value in 6, -4, x?
x
Let j be (-8)/(-52) - (-37)/13. Let i be 96/30 + -1*j. Which is the third biggest value? (a) 3/7 (b) i (c) 2
b
Let g = -12.6 - -1.6. Let a = 6 + g. What is the third smallest value in a, 3, -3/4?
3
Let q = -8 - -8.1. Let v be (-1)/(-8)*280/(-42). What is the third biggest value in -5, q, v?
-5
Let n = 46 - 48. Which is the second biggest value? (a) 0 (b) -5 (c) 1/6 (d) n
a
Let c = 0.39 + 11.01. Let d = 11 - c. Let o = 23 - 164/7. What is the biggest value in o, d, -1/7?
-1/7
Suppose v = -4*y - 0 + 5, y + 2*v - 10 = 0. Let j be (y + -1)*-1*-4. Let t be (j/126)/(4/12). What is the biggest value in 0, -2, t?
0
Let x be (-4)/(-18) + 7/9. Let n be (1 + x)/(-22)*2. Suppose 0 = 5*h - 0*h + 2*d + 2, -5 = h + 5*d. What is the biggest value in h, -0.1, n?
h
Let j = 18.82 - 19. Let z = j + 1.18. What is the third biggest value in 2, 1/3, z?
1/3
Let z = 3.1 + -3. Let d = 0.6 - 0.1. Which is the smallest value? (a) 0.4 (b) z (c) d
b
Suppose 18 + 6 = -2*r. Let h = r + 62/5. What is the smallest value in -3, -0.3, h?
-3
Let a = 5.3 + -5. Let z = 0.08 + -4.08. What is the biggest value in -4/5, a, z?
a
Let t be (1/(-2))/((-4)/(-8)). Let v = t - 0. Let y be (-2)/((0 - v)*-7). Which is the third biggest value? (a) y (b) -2/3 (c) 2/11
b
Let p = -4 + 6. Let w = -2.5 + p. Which is the smallest value? (a) w (b) -2 (c) -3/7
b
Let l = -0.8 - 2.2. Let f = l + 2.8. Let d = 0.1 - -0.1. Which is the third biggest value? (a) d (b) 4 (c) f
c
Let q = -24.93 + 25. Let j = 1.93 + q. What is the second smallest value in 1, 0.4, j?
1
Let l = -0.9 + 0.4. Let y = -1.2 - l. Let t = -0.4 - y. What is the biggest value in t, -0.4, -1?
t
Let g = -13 - 3. Let i = 16.7 + g. Let y = -0.2 + i. Which is the biggest value? (a) y (b) 1 (c) 5
c
Let x = -2 - 0. Let t be (0 + 3 - 2)*-7. What is the third biggest value in -0.1, x, t?
t
Let s = -25 + 15. Let o = s + 6. Let u = 2 + -2.5. What is the second biggest value in u, -1/5, o?
u
Let m = 3.8 + -4. What is the third biggest value in -1/3, m, 0.06?
-1/3
Let i = -1.598 + -0.002. What is the third biggest value in 2/3, -1, i, -5?
i
Let h = -13.6 + 14. Which is the second biggest value? (a) 0 (b) -0.5 (c) h
a
Let t be -2*(0 + -1 - -2). Let g = -4.1 - -0.1. Which is the third biggest value? (a) g (b) t (c) 0
a
Suppose -4*h - 24 = 4*l, 4*h = -h + 2*l - 16. Let f = -0.2 + 0.27. Let p = f + -3.07. What is the third smallest value in h, p, -0.4?
-0.4
Suppose 3*u + 1 = -14, -5*u = -5*t + 40. Suppose -k + 4*o + 12 = 0, t*k + 0*o - 4*o = 12. What is the second biggest value in 4/3, k, 1/4?
1/4
Let q = 1.1 - 1.2. What is the second smallest value in q, 0.5, -4?
q
Suppose -8 = -3*p + 10. Suppose p*i - 3*i = 0. Let t = 3/116 - 589/348. Which is the second smallest value? (a) t (b) i (c) 2/5
b
Let g = 2 + -5. Let f = g - -6. Let n = -5 + 4.5. Which is the second smallest value? (a) -4/3 (b) f (c) n
c
Let h be 11/15 + 2/(-6). Let o = -4.39 - -5.89. What is the smallest value in h, o, 1?
h
Let g be (2/(-8))/((-3)/15). Let n = -0.47 + 0.87. What is the smallest value in n, g, 4/7?
n
Let z = 15.03 + -15. Which is the third biggest value? (a) z (b) -4 (c) 5
b
Let r = -3.9 + 4. Let p be 42/18*2/(-7). Which is the second biggest value? (a) p (b) 1 (c) r
c
Let q = -3/8 + 7/8. Let x be (-2)/8 + (-2)/(-8). Suppose -2*a + 3*a + 5 = x. What is the second smallest value in -0.4, q, a?
-0.4
Let y = 4.7 - 28.7. Let o = y + 27. Let g = 4.4 - -0.6. Which is the third biggest value? (a) o (b) 2/13 (c) g
b
Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
e v.
-1
Express 123 + 32*o**3 - 177*o**2 + 89*o**2 + 88*o**2 in the form g + n*o**3 + f*o**2 + u*o and give n.
32
Rearrange 8199*d**4 + 4*d - 16390*d**4 + 8193*d**4 + 3 + 19*d**2 + d**3 to f*d**3 + r*d**2 + c*d + z + o*d**4 and give o.
2
Express -2*o**3 + o**4 + 2*o**3 + (-2*o - 2*o + o)*(0 + 0 - o**3) + 1459*o + 472*o**4 - 1459*o in the form v + i*o**2 + k*o + q*o**3 + f*o**4 and give f.
476
Rearrange 1323*a - 708*a - 1000*a - 3099*a to the form j + w*a and give w.
-3484
Rearrange 1452*i - 5 + 28*i + 5 to m*i + j and give m.
1480
Express -4*m**2 - 2167413 + 2167413 + 98*m in the form y*m + u*m**2 + x and give u.
-4
Rearrange (17 - 1 - 21)*(-47*k**2 - 21*k**2 + 8*k**2)*(-3*k + 1 - 1) to w*k**3 + q*k**2 + z*k + h and give w.
-900
Rearrange 65 + 2836*w - 2837*w + 11*w**2 + 6*w**2 - 246 to the form c*w + i*w**2 + x and give c.
-1
Express (29*q + 2*q + 9*q)*(-679 - 2*q + 549 + 3*q) as f + j*q**2 + y*q and give j.
40
Rearrange 4*a + 0*a + 0*a + (5 - 1 + 10)*(9 - 9 + 26*a) to the form f + p*a and give f.
0
Express 2*g**3 - 12126481*g**2 - 1937 + 12126481*g**2 + g**4 as i*g**2 + j + d*g**4 + q*g + u*g**3 and give i.
0
Rearrange -2*k**2 + 76119*k**4 - 14*k**3 - 3*k + 2*k - 38060*k**4 - 4 - 38057*k**4 + 2 to the form y*k**2 + z*k**3 + h*k**4 + s + q*k and give q.
-1
Express (-15 - 105 - 11)*(-r + r - r) + (-7 + 7 + 4*r)*(-3 + 0 + 0) + 2 - 2 - 2*r in the form a + n*r and give n.
117
Rearrange -y**2 - 210*y**3 - 208*y**3 + 623*y**3 - 207*y**3 + 72*y + 147*y to the form g*y + n + c*y**3 + t*y**2 and give g.
219
Rearrange 4*n + n**2 + 1559 - 45*n**3 + 2*n - 1567 + 7*n**2 - 4*n to the form w*n**3 + s*n**2 + r + c*n and give c.
2
Express -46*t**4 - 2*t**3 + 92*t**4 - 47*t**4 - 10*t - 2*t**2 + 10 as k*t**2 + j*t + a*t**3 + m + z*t**4 and give j.
-10
Rearrange (40*k + 156*k**2 - 300*k**2 + 147*k**2)*(32*k**2 + 2277*k - 2277*k) to the form g*k**4 + f*k + q*k**3 + u*k**2 + h and give g.
96
Express 642*u - 1 - 321*u + 0 + 1067*u + 0*u in the form z*u + i and give i.
-1
Rearrange -21 + 21 - 2758*c - 723*c + 220*c to the form m*c + z and give m.
-3261
Rearrange (-1874*v + 319*v - 197*v)*(-v**2 - 3*v**2 - 2*v**2) to b*v + h + d*v**2 + k*v**3 and give h.
0
Express 5*i**2 + 6*i**2 - 5*i**2 + (1 - 1 + 4)*(3*i - 3*i + 2*i)*(12 - 6*i - 12) in the form d + y*i**2 + a*i and give y.
-42
Express (-8*m - 32 + 32)*((2 - 4 + 4)*(-5 + 26 + 1) + (-4 - 1 + 2)*(5 - 3 - 1)) as u + i*m and give i.
-328
Express 4*x**2 - 49220*x - 8*x**2 + 49220*x - 17 as v + l*x**2 + a*x and give l.
-4
Express -2*y**2 + 9*y**2 - 7*y**2 + 150*y**3 - 8*y**2 - 1041*y**3 as q*y**3 + m + k*y + t*y**2 and give q.
-891
Express 53 + b - 4*b + 2*b**3 - 35 - b**2 + 6*b as x + j*b**2 + a*b**3 + o*b and give o.
3
Rearrange 8287*b**2 - 3*b + 8359*b**2 - 16647*b**2 - 8*b**3 to t*b**2 + s*b + a + y*b**3 and give y.
-8
Express (m + 2*m - 2*m + 4*m - m - 7*m + (6*m - 4*m - 3*m)*(-1 - 2 + 2))*(8 + 5*m - 8 + (-4 - 2 - 8)*(2*m - 3*m + 3*m)) as z*m**2 + g*m + a and give z.
46
Rearrange 870*p - 10*p**3 - 2220*p + 1218*p + 781*p to j*p**2 + o*p**3 + k + n*p and give j.
0
Express 1849*n**4 - n + n**3 - 3*n**2 - 1848*n**4 - 134983 + 134802 in the form z*n**2 + r*n**3 + c + d*n + i*n**4 and give i.
1
Rearrange (-4 + 4 - 1)*(-d - 4 + 4) + 442 - 17*d + 66*d - 48*d to q + s*d and give q.
442
Express -3*a + a - 30 - 6*a**2 + 24996526*a**3 - 24996528*a**3 in the form v*a**3 + r*a**2 + u*a + t and give v.
-2
Rearrange (-2*i - 2 + 1 + 4)*(-4*i**2 - i**2 + 0*i**2) + 17*i**2 - 40*i**2 - 80*i**2 + 2*i**3 to the form d*i**3 + n*i**2 + m + l*i and give n.
-118
Express 22 + 241*o**2 - 48 + 13 + 100*o**2 + 16 as b*o**2 + p + g*o and give p.
3
Express (-7 + 3 + 1)*(425 - 426 + 3175*x + 37*x**3 - 3183*x) in the form j*x**2 + z*x**3 + h + l*x and give j.
0
Rearrange 17*c**2 - 5*c - 95*c**3 + 0*c**2 + 93*c**3 - 61*c**2 + 10 - 101*c**2 to q*c**2 + s + z*c + a*c**3 and give q.
-145
Rearrange (-2*c**2 + 3*c**2 + c**2)*(-c + 4*c + 0*c) + 4*c**3 - 4*c**3 - c**3 + 35*c**2 - 32*c**2 - 41*c
|
{
"pile_set_name": "DM Mathematics"
}
|
fy (5*(sqrt(605) + -1*sqrt(605)) + 1 + sqrt(605) + 0 + 5 + (sqrt(605)*1*5 - (-1 + sqrt(605) + sqrt(605)*1)))**2.
616*sqrt(5) + 9729
Simplify (5 + (sqrt(1053) + 2 + 4 + (-3 + (sqrt(1053) - (3 + sqrt(1053)) - sqrt(1053)) - sqrt(1053) - sqrt(1053)) + 5)*3)**2 + -4.
-2160*sqrt(13) + 38304
Simplify -5 + ((4*6*(0 + sqrt(288)))**2 + 1)*-1 + 2.
-165892
Simplify (3 + (sqrt(198)/sqrt(275) + (sqrt(216)*-1)/sqrt(12) + 5*sqrt(54)/sqrt(3) + 0)*5)**2.
378*sqrt(2) + 7947
Simplify ((sqrt(26)/sqrt(2)*-1 + (sqrt(1573) - (sqrt(1573)*-1 + sqrt(1573)) - sqrt(13)) + -3*sqrt(325)*-1 + 5)*1)**2.
240*sqrt(13) + 7513
Simplify (sqrt(64)/(sqrt(24)/sqrt(3)))/((-2*sqrt(44))/sqrt(11))*6 - ((sqrt(72) + 0 + -4 + 4)*1)**2.
-72 - 3*sqrt(2)
Simplify 6*(-1 + sqrt(448)*6 - (4*4*sqrt(448))**2)*6.
-4128804 + 1728*sqrt(7)
Simplify (sqrt(104)*-1*-6*6*-1)/((1*(sqrt(80) + 1*sqrt(80)))/(sqrt(1250)/sqrt(5))).
-90*sqrt(13)
Simplify (-2*sqrt(187)*-3 + -2*(sqrt(187) + -1*sqrt(187) - sqrt(187)))/(-6*(sqrt(539) - sqrt(539)*3)*-5).
-2*sqrt(17)/105
Simplify (sqrt(19) - (sqrt(1216) - (-3*sqrt(1216))**2)) + (sqrt(76) + 4 - sqrt(76)) + 4 + (1 + sqrt(475) + -1 + sqrt(475))**2.
-7*sqrt(19) + 12852
Simplify 3*(((sqrt(170) + -2*sqrt(170))/sqrt(10))**2 + (sqrt(17)*2 + -3)**2) - (2 + ((sqrt(119)*2 - sqrt(119))/sqrt(7) - (sqrt(51)/sqrt(3) + 5))).
-36*sqrt(17) + 285
Simplify 3*((sqrt(72) - (sqrt(72) + (sqrt(72) - (sqrt(72)*-2*5 + sqrt(72) + sqrt(72)))))/sqrt(4))/(4*(sqrt(144) + -4*sqrt(144))) + 4.
9*sqrt(2)/16 + 4
Simplify (1*(sqrt(119) + -1*sqrt(119))*4*-4)/((sqrt(343) - ((-5*(-4*sqrt(343) - sqrt(343)) - sqrt(343)) + sqrt(343)))*-2).
0
Simplify (2 + (sqrt(200)/sqrt(4) + sqrt(50))/sqrt(10))*-4 - -5*(-5 + sqrt(45) + sqrt(25)/sqrt(125)).
-33 + 8*sqrt(5)
Simplify (-5*(-4*-5*(sqrt(1584) + 0) - -3*sqrt(1584)*6*4))**2.
335174400
Simplify (5 + 2*(-4 + sqrt(468) + 0 + sqrt(468) + -2*sqrt(468) + 3))**2.
9
Simplify (5*(sqrt(832) + 1)*5*3*1*1*-1*-1)**2.
90000*sqrt(13) + 4685625
Simplify ((sqrt(204) + -5*sqrt(204))*2 - sqrt(204) - sqrt(204)*2*-3)/(sqrt(576)/(-3*sqrt(1200) + sqrt(12))).
87*sqrt(17)/2
Simplify (5*(sqrt(132) - 4*(sqrt(132)*-2 + sqrt(132)) - sqrt(132))*-2)/((sqrt(192)/(sqrt(4)*1))/(sqrt(32)/sqrt(2))).
-80*sqrt(11)
Simplify 5*((sqrt(14) + 2*sqrt(14))/sqrt(2) + (sqrt(112) + 1 - sqrt(112))**2 + 3 + (sqrt(2688)/sqrt(6) - sqrt(70)/(sqrt(80)/sqrt(8) + sqrt(10))))*1.
20 + 105*sqrt(7)/2
Simplify ((sqrt(1008) + -1)*2 + 5*(sqrt(1008) + -1*sqrt(1008)))**2*-1*-5 + -5.
-480*sqrt(7) + 20175
Simplify ((-1*(3*sqrt(170) - sqrt(170)) + 6*3*sqrt(170) + sqrt(170))*-2)/((3*(-3*sqrt(90) + sqrt(90)))/(-5*sqrt(324))).
-170*sqrt(17)
Simplify ((sqrt(30)/sqrt(3))/sqrt(5) + sqrt(2) + 2*sqrt(98) - -2*(-4 + sqrt(128) + -1)) + 0.
-10 + 32*sqrt(2)
Simplify -4 + ((2*(sqrt(2057)*-1 + sqrt(2057)))**2 + (sqrt(833) + -1 + sqrt(833) + -1*sqrt(833) - sqrt(833))**2)*6 + -3.
-1
Simplify (-4 + ((sqrt(98) + -1 + sqrt(98) + -3 - (sqrt(98) + sqrt(98) + 0 + -1)) + -5*((sqrt(98)*-1 - sqrt(98)) + -4))*6)**2.
82320*sqrt(2) + 362404
Simplify -3*(-2 + ((sqrt(88) + (-1*(sqrt(88)*-6 - sqrt(88)) + sqrt(88) - sqrt(88) - sqrt(88)))*2)/(sqrt(40)/(sqrt(30)/(sqrt(24)/sqrt(4))))).
-42*sqrt(11) + 6
Simplify (5*-1*(5 + 1*(3*sqrt(117)*1 + 1)) + 3)**2.
2430*sqrt(13) + 27054
Simplify (-5*(-2 + -6*sqrt(576)/sqrt(3))*-3 + 4)**2.
37440*sqrt(3) + 1555876
Simplify (3*(sqrt(600) + sqrt(600)*-2 - sqrt(600)))/(sqrt(120)/(sqrt(10)*-3)*-1) + -1.
-90*sqrt(2) - 1
Simplify (sqrt(48)/sqrt(4) + sqrt(12) - (4*sqrt(9))/sqrt(3)) + (-1 + sqrt(48) + 3 + 0)**2.
16*sqrt(3) + 52
Simplify 1 + 4*(-5*sqrt(57)/sqrt(3) - (sqrt(1900) - (sqrt(1900) + 1 + sqrt(1900)))**2) + ((sqrt(228) - (sqrt(228)*2 - sqrt(228))*-3)/(-3*sqrt(48)))**2.
-68351/9 - 100*sqrt(19)
Simplify sqrt(605) + (sqrt(605)*2)**2*-5 + -2 + -5 + (sqrt(30)/(sqrt(6) - sqrt(24)) + 0 - -5*(3*(sqrt(5) + 1))**2).
-11837 + 100*sqrt(5)
Simplify 5*sqrt(77)/(sqrt(7) - sqrt(175)*-2) - (-3 + ((-5*(sqrt(11) + 0))**2 - (sqrt(891) + -1)**2)).
-193*sqrt(11)/11 + 620
Simplify (-6*-6*(-4 + 4 + (sqrt(11) + sqrt(11)*-4)*-6 + -1))**2.
-46656*sqrt(11) + 4620240
Simplify (5 + (2 + sqrt(539) + 1 + sqrt(539) + -4*(sqrt(539) - (sqrt(539) + 1 + sqrt(539))) - (sqrt(539)*2 + -3 + -1 + sqrt(539) + 5)))**2.
462*sqrt(11) + 4972
Simplify (4*(-6*sqrt(441)*-2)/((sqrt(70)/sqrt(45))/sqrt(2)))**2 + 1.
1306369
Simplify 1 + (-2 + -3 + (-1 + sqrt(567))*6 + 2)**2*-6.
-122957 + 5832*sqrt(7)
Simplify (sqrt(490)/(-6*sqrt(10)*-2)*1)/((sqrt(5929)*2)/(-2*(sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
4?
4200
In base 16, what is -3 + a4a?
a47
In base 15, what is 5 + 380?
385
In base 11, what is -6 + -159?
-164
In base 5, what is -2 - 2130?
-2132
In base 13, what is 2 - -76?
78
In base 4, what is -2 + -221132?
-221200
In base 7, what is -11 + 2465?
2454
In base 3, what is -12222 - -12?
-12210
In base 14, what is -84 + -10?
-94
In base 10, what is 1 + -87?
-86
In base 14, what is -36bb - 4?
-36c1
In base 16, what is 4 - 9c?
-98
In base 16, what is -73 + 3?
-70
In base 16, what is -2f2 - -f?
-2e3
In base 11, what is -13 + -4?
-17
In base 16, what is -1 + -6d?
-6e
In base 12, what is 157 - 1?
156
In base 14, what is -208 - -3?
-205
In base 10, what is 149 - -2?
151
In base 13, what is 4412 + 3?
4415
In base 2, what is 101 + 11010110110?
11010111011
In base 14, what is 3 - -90?
93
In base 12, what is -70 - 1?
-71
In base 5, what is 242412 + 1?
242413
In base 6, what is -1533 - 0?
-1533
In base 4, what is 0 + 1?
1
In base 7, what is 0 - -332?
332
In base 8, what is 16000 - -4?
16004
In base 11, what is 2a + 112?
141
In base 16, what is 5 - -75?
7a
In base 7, what is 14 - 24?
-10
In base 8, what is 170 + 114?
304
In base 12, what is 3 - 862?
-85b
In base 2, what is -100100101 - 1001000?
-101101101
In base 5, what is 1 - -114?
120
In base 2, what is 11000 + 10101?
101101
In base 5, what is 133 - 10?
123
In base 14, what is 21 + 0?
21
In base 16, what is 276 + 2?
278
In base 5, what is 10101 - -3?
10104
In base 12, what is -522 - -18?
-506
In base 2, what is -111101010 + -10?
-111101100
In base 6, what is -4 - -2031?
2023
In base 8, what is -22 - -10?
-12
In base 11, what is -433 - 4?
-437
In base 13, what is -5 + 254b?
2546
In base 5, what is 2420 - 10?
2410
In base 14, what is 15 - 14?
1
In base 16, what is 384 - -17?
39b
In base 4, what is -11121 + -1?
-11122
In base 7, what is 4 - -123?
130
In base 8, what is 1 - 104?
-103
In base 5, what is -3 - -201?
143
In base 2, what is 111 - -100001111110?
100010000101
In base 14, what is -3c46 - -3?
-3c43
In base 5, what is -1022 + -111?
-1133
In base 7, what is 2 - -333?
335
In base 7, what is -40 + -2?
-42
In base 13, what is 22 + -ac?
-8a
In base 3, what is -1102 - -2012?
210
In base 12, what is 52 - -21?
73
In base 8, what is -231 - 5?
-236
In base 14, what is -b - 3?
-10
In base 16, what is 1 + e?
f
In base 16, what is 1 + -52a?
-529
In base 12, what is 27 - -b3?
11a
In base 12, what is -2b - 4?
-33
In base 14, what is d1 + -29?
a6
In base 9, what is -3147 - 1?
-3148
In base 8, what is -734 + -10?
-744
In base 2, what is 100 - 110010?
-101110
In base 3, what is -11211100 - -12?
-11211011
In base 4, what is 102 + 20?
122
In base 4, what is -1 - 10103?
-10110
In base 5, what is 1 + 103323?
103324
In base 7, what is 5 - -16632?
16640
In base 7, what is -16 - -1?
-15
In base 7, what is -32 + -13?
-45
In base 14, what is 6 + 2d?
35
In base 12, what is -7 + 2?
-5
In base 14, what is -18 - -2?
-16
In base 13, what is -7a - 8?
-85
In base 11, what is 305 + -1?
304
In base 13, what is -28 - 1?
-29
In base 15, what is 1c - 10?
c
In base 6, what is -1 - -4145?
4144
In base 11, what is -71a + 3?
-717
In base 16, what is 1b - -4?
1f
In base 11, what is 26 + 324?
34a
In base 16, what is 5 + -14?
-f
In base 15, what is -530 + -4?
-534
In base 15, what is -1 + 207?
206
In base 12, what is -63b - -5?
-636
In base 15, what is -4 - -608?
604
In base 11, what is -19 - 26?
-44
In base 6, what is 42 + 100?
142
In base 3, what is 12211111 - 0?
12211111
In base 14, what is 4 + 20?
24
In base 12, what is 226 - -3?
229
In base 10, what is -4401 - 2?
-4403
In base 16, what is -5ab2 - -5?
-5aad
In base 11, what is -4071 + -4?
-4075
In base 10, what is -124 + 34?
-90
In base 15, what is 60 + 0?
60
In base 5, what is -21224 - -11?
-21213
In base 14, what is -8 + -42?
-4a
In base 14, what is 20 + -299?
-279
In base 13, what is 47c8 - 1?
47c7
In base 11, what is -19 + 64?
46
In base 16, what is -3 + 18?
15
In base 12, what is 227 - 1?
226
In base 3, what is -12 + 11000011?
10222222
In base 16, what is 284 + -3?
281
In base 12, what is -b - 12?
-21
In base 15, what is -94 - -23?
-71
In base 8, what is -2 - 206?
-210
In base 10, what is 7820 - -5?
7825
In base 13, what is -1cb6 + -2?
-1cb8
In base 15, what is c - -10?
1c
In base 5, what is -331 - -11?
-320
In base 5, what is 1 + -12303?
-12302
In base 2, what is -1011101011010 + -101?
-1011101011111
In base 6, what is -23 - 21?
-44
In base 4, what is 303233 - 1?
303232
In base 11, what is -5 + 2654?
264a
In base 2, what is -110 - 101000?
-101110
In base 9, what is 1 - 128?
-127
In base 5, what is 1 + -23?
-22
In base 10, what is -3 - -53?
50
In base 11, what is 3 - -9?
|
{
"pile_set_name": "DM Mathematics"
}
|
, s: 1, l: 1, z: 2, r: 2, y: 1}?
1/42
Two letters picked without replacement from bssufb. What is prob of picking 1 s and 1 f?
2/15
Calculate prob of picking 1 j and 1 h when two letters picked without replacement from qggghjgr.
1/28
Calculate prob of picking 1 v and 3 j when four letters picked without replacement from {v: 1, d: 4, j: 3}.
1/70
What is prob of picking 1 w and 1 x when two letters picked without replacement from exwexvxezexeeee?
4/105
Calculate prob of picking 1 w and 1 t when two letters picked without replacement from xwgxcxgtggxx.
1/66
Four letters picked without replacement from aiaariiroihrajiaa. Give prob of picking 2 r and 2 a.
9/476
What is prob of picking 1 d and 1 v when two letters picked without replacement from {v: 1, l: 3, d: 12}?
1/10
Four letters picked without replacement from {l: 2, r: 5, t: 5}. Give prob of picking 1 r, 2 t, and 1 l.
20/99
Calculate prob of picking 3 q when three letters picked without replacement from tallqtl.
0
Four letters picked without replacement from xnpsxspxnxs. Give prob of picking 1 x and 3 s.
2/165
What is prob of picking 1 r and 1 f when two letters picked without replacement from fmmmhrr?
2/21
Calculate prob of picking 3 q when three letters picked without replacement from {j: 3, q: 7}.
7/24
Calculate prob of picking 1 f, 1 p, and 2 e when four letters picked without replacement from fggsggppppepqgqeqe.
1/204
Three letters picked without replacement from {m: 3, c: 1, z: 12}. Give prob of picking 3 m.
1/560
Two letters picked without replacement from mwngkhh. What is prob of picking 1 k and 1 g?
1/21
Three letters picked without replacement from tdtcndtnjnjcttcnjjn. Give prob of picking 2 t and 1 n.
50/969
Three letters picked without replacement from yyybyby. What is prob of picking 3 y?
2/7
What is prob of picking 2 t when two letters picked without replacement from {t: 6, o: 5, f: 1, v: 6}?
5/51
Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {x: 1, j: 1, h: 3, n: 2, v: 4}.
12/55
Calculate prob of picking 1 m and 3 o when four letters picked without replacement from {m: 7, q: 6, f: 1, o: 3}.
1/340
Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {y: 7, w: 1, f: 2}.
2/45
What is prob of picking 1 k and 1 l when two letters picked without replacement from lvkv?
1/6
What is prob of picking 4 v when four letters picked without replacement from vvvttv?
1/15
Calculate prob of picking 1 b and 2 v when three letters picked without replacement from {b: 1, v: 3}.
3/4
What is prob of picking 1 s and 1 z when two letters picked without replacement from zggisiszzsgzgzzgz?
21/136
Two letters picked without replacement from {j: 3, u: 1}. Give prob of picking 1 u and 1 j.
1/2
Calculate prob of picking 1 k and 1 m when two letters picked without replacement from {n: 1, m: 5, k: 2, d: 1, p: 1}.
2/9
Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {d: 5, f: 2, y: 8}.
2/21
What is prob of picking 1 p, 1 b, and 1 n when three letters picked without replacement from {n: 2, p: 3, t: 2, z: 4, b: 2}?
6/143
Calculate prob of picking 2 b and 2 h when four letters picked without replacement from bbhhhb.
3/5
Three letters picked without replacement from {m: 7, g: 5}. Give prob of picking 3 m.
7/44
Two letters picked without replacement from {a: 1, n: 1, o: 2}. Give prob of picking 2 o.
1/6
What is prob of picking 2 g and 1 c when three letters picked without replacement from {g: 2, c: 5, y: 3, r: 2, w: 1, z: 6}?
5/969
Calculate prob of picking 1 i, 1 h, 1 b, and 1 g when four letters picked without replacement from wiiiihhigibgbgxiiii.
10/323
Two letters picked without replacement from nqqnnq. What is prob of picking 1 n and 1 q?
3/5
Three letters picked without replacement from {i: 2, t: 8}. What is prob of picking 2 t and 1 i?
7/15
What is prob of picking 1 r, 1 h, and 1 q when three letters picked without replacement from uqhhurhrqqqqqqqrhuur?
32/285
Three letters picked without replacement from {h: 5, l: 3}. What is prob of picking 2 h and 1 l?
15/28
Calculate prob of picking 2 f and 2 e when four letters picked without replacement from {f: 13, e: 6}.
195/646
What is prob of picking 2 z when two letters picked without replacement from {c: 1, g: 2, z: 4}?
2/7
What is prob of picking 2 r when two letters picked without replacement from srrrrrssssrssrsrsrrr?
11/38
What is prob of picking 1 q, 1 k, 1 n, and 1 r when four letters picked without replacement from qrnononronqqkqoq?
2/91
What is prob of picking 1 b and 2 s when three letters picked without replacement from {s: 2, j: 1, b: 2}?
1/5
What is prob of picking 2 g when two letters picked without replacement from xxxxxxxxggxxxxxxxx?
1/153
Calculate prob of picking 3 z when three letters picked without replacement from azazazaaaaaaaaaaaa.
1/816
Two letters picked without replacement from {a: 2, j: 1, w: 1, v: 4}. What is prob of picking 1 j and 1 w?
1/28
Three letters picked without replacement from {s: 12, i: 2, g: 5}. Give prob of picking 2 g and 1 s.
40/323
What is prob of picking 2 w, 1 z, and 1 m when four letters picked without replacement from mwwzzj?
2/15
What is prob of picking 1 p and 2 f when three letters picked without replacement from bpbbuuufguubfun?
1/455
Calculate prob of picking 1 h and 1 r when two letters picked without replacement from khoojjr.
1/21
What is prob of picking 2 p when two letters picked without replacement from pncccpccncc?
1/55
What is prob of picking 4 n when four letters picked without replacement from {b: 2, n: 4}?
1/15
Three letters picked without replacement from {i: 1, g: 4, e: 1, c: 1, h: 1}. Give prob of picking 1 h, 1 e, and 1 i.
1/56
Three letters picked without replacement from oovjccfwfwcj. What is prob of picking 1 c and 2 f?
3/220
Two letters picked without replacement from {t: 4, n: 3, l: 8, f: 2}. What is prob of picking 2 n?
3/136
What is prob of picking 1 b and 1 s when two letters picked without replacement from swnwsbwnfvnbbbv?
8/105
Three letters picked without replacement from {t: 3, n: 3, v: 4, j: 4, f: 3, o: 3}. What is prob of picking 1 t, 1 v, and 1 n?
3/95
Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {n: 1, t: 1, r: 3, q: 5, s: 6, c: 4}.
9/95
Three letters picked without replacement from {v: 3, b: 9, g: 1, c: 6}. Give prob of picking 1 g and 2 c.
5/323
What is prob of picking 2 a when two letters picked without replacement from aaabaaacac?
7/15
Three letters picked without replacement from nnppnnn. Give prob of picking 1 n and 2 p.
1/7
Four letters picked without replacement from {g: 1, f: 4, z: 1, l: 4}. Give prob of picking 1 z and 3 f.
2/105
|
{
"pile_set_name": "DM Mathematics"
}
|
6838819 a composite number?
False
Is 3596312969 prime?
True
Is 6859342219 a composite number?
False
Is 2022926657 a prime number?
False
Is 5463519181 a prime number?
True
Is 19768930711 a prime number?
True
Is 180017114857 a prime number?
True
Is 33060518657 prime?
True
Is 24538645511 composite?
False
Is 28991340613 composite?
False
Is 15624412697 a composite number?
False
Is 3262599677 a prime number?
True
Is 540361543 composite?
False
Is 209814763 a composite number?
True
Is 1200810613 composite?
True
Is 9393388423 prime?
False
Is 32200566257 a prime number?
False
Is 1401465383 composite?
True
Is 79868450113 composite?
True
Is 25902284249 prime?
False
Is 2548652453 a prime number?
True
Is 35092919761 a composite number?
True
Is 5882496769 prime?
True
Is 14680490893 composite?
False
Is 6421861367 a prime number?
False
Is 14256371011 prime?
True
Is 10658954993 composite?
False
Is 18839111273 prime?
False
Is 3754858571 a composite number?
False
Is 10784123821 composite?
True
Is 48741582161 a composite number?
False
Is 31982730863 prime?
False
Is 27409862003 composite?
False
Is 1061845087 a prime number?
True
Is 44176531601 a composite number?
False
Is 50861832239 composite?
False
Is 806605297 prime?
True
Is 3886693093 prime?
True
Is 38370119629 composite?
False
Is 4110507019 prime?
False
Is 453676389 a prime number?
False
Is 533668633 composite?
False
Is 830283053 prime?
True
Is 1033300481 a prime number?
True
Is 11924405179 composite?
False
Is 2647167437 composite?
False
Is 3072872555 prime?
False
Is 81716985393 composite?
True
Is 5956501219 a composite number?
False
Is 26608304557 composite?
False
Is 894699418 a prime number?
False
Is 24792371 a composite number?
False
Is 1599157733 a composite number?
False
Is 93663283477 composite?
True
Is 10545772633 a composite number?
True
Is 15349258049 composite?
True
Is 38828224879 a composite number?
False
Is 30802209817 a prime number?
False
Is 5562825199 composite?
True
Is 17070065315 a prime number?
False
Is 5416954189 composite?
False
Is 113806841 composite?
False
Is 4339171943 composite?
False
Is 389041699 a prime number?
False
Is 86039780441 composite?
True
Is 2649513793 composite?
False
Is 72838721 prime?
False
Is 4906755341 prime?
True
Is 456104717 composite?
True
Is 1067006093 a composite number?
True
Is 6036340655 a composite number?
True
Is 1275201503 composite?
True
Is 554529457 a prime number?
False
Is 2480197327 a prime number?
False
Is 13193859235 a composite number?
True
Is 1073560283 composite?
True
Is 173615714 a composite number?
True
Is 238815359 a prime number?
True
Is 5363809195 composite?
True
Is 73011482767 prime?
True
Is 5266887167 prime?
True
Is 939626033 a prime number?
True
Is 15034587 composite?
True
Is 15087394837 composite?
False
Is 8735351257 a composite number?
False
Is 17773869287 a composite number?
True
Is 9431413921 prime?
False
Is 708066631 a prime number?
True
Is 2183555921 prime?
False
Is 1114510547 a prime number?
True
Is 6019529429 a prime number?
False
Is 1253955361 a prime number?
True
Is 3245816323 composite?
False
Is 541508969 a composite number?
False
Is 3857951819 a composite number?
False
Is 591172941 a composite number?
True
Is 3872071639 a prime number?
False
Is 160057823 prime?
True
Is 535510847 composite?
False
Is 3811574353 a prime number?
True
Is 68888027399 a prime number?
False
Is 2140345787 prime?
True
Is 40574549321 prime?
False
Is 436673639 a prime number?
False
Is 3898789001 composite?
False
Is 748095847 prime?
True
Is 13169834647 prime?
True
Is 3611457307 prime?
False
Is 161944656491 a prime number?
True
Is 138810078139 a prime number?
True
Is 12750420121 composite?
True
Is 25205634455 a composite number?
True
Is 38061509413 a prime number?
False
Is 3904851547 a composite number?
False
Is 13165461443 a composite number?
True
Is 300903137 prime?
False
Is 5190417467 a composite number?
False
Is 2903119601 a composite number?
False
Is 45065194579 a prime number?
False
Is 152936107 prime?
False
Is 131796199 a prime number?
True
Is 38603294699 composite?
False
Is 1212222559 a composite number?
True
Is 186611827 composite?
False
Is 8154423943 prime?
True
Is 7087608443 a composite number?
True
Is 511614617 a composite number?
False
Is 24211047023 a prime number?
True
Is 205340183 composite?
False
Is 16647065177 a prime number?
True
Is 69161243 a prime number?
False
Is 252071389397 prime?
False
Is 215930769679 a prime number?
True
Is 34531238251 a prime number?
True
Is 19248113849 composite?
True
Is 89340701 composite?
False
Is 3786588761 a prime number?
False
Is 1138316719 a prime number?
False
Is 93380567177 prime?
True
Is 25667699857 composite?
False
Is 64244831447 composite?
True
Is 309858581 composite?
False
Is 2535132997 prime?
True
Is 4871285963 composite?
True
Is 180817229 a composite number?
True
Is 7501599943 a prime number?
True
Is 240596818093 prime?
True
Is 2450982959 a composite number?
False
Is 1476576917 composite?
False
Is 19318221651 composite?
True
Is 292227989 a composite number?
False
Is 5665371469 prime?
False
Is 10694056389 a composite number?
True
Is 30289277 prime?
True
Is 492494903 a composite number?
False
Is 5626197307 prime?
True
Is 5247322651 a prime number?
False
Is 328088209 a prime number?
True
Is 10249725071 a prime number?
False
Is 14410556693 prime?
False
Is 813427231 composite?
False
Is 587677513 a prime number?
False
Is 4242669001 a prime number?
True
Is 69605042971 a prime number?
False
Is 42670151509 composite?
True
Is 47651566621 a composite number?
False
Is 68748109 composite?
True
Is 8968499 composite?
False
Is 426432659 composite?
True
Is 2301844417 a composite number?
False
Is 29875438261 composite?
True
Is 33565173139 prime?
False
Is 7901133377 a prime number?
True
Is 52777520479 a composite number?
False
Is 79627291 a composite number?
True
Is 11424715241 a prime number?
False
Is 6080861503 prime?
True
Is 137910989 a composite number?
False
Is 7312776887 a prime number?
False
Is 3705300871 prime?
False
Is 646271513 prime?
True
Is
|
{
"pile_set_name": "DM Mathematics"
}
|
wrt d.
114*d*j + 70
Find the third derivative of -290*k**6 - 77*k**2.
-34800*k**3
Find the first derivative of -6*a**3*f**2 + 90*a**3 - 6*a**2*f**3 wrt f.
-12*a**3*f - 18*a**2*f**2
What is the third derivative of 18*a**3*p - 16*a**3*r**3 - 2*a**2*p*r**3 - 2706*a*p wrt a?
108*p - 96*r**3
Differentiate 2*c*d*o*u - 97*c*d*o + 12*d*o*u - 3*o with respect to c.
2*d*o*u - 97*d*o
What is the second derivative of 88*f**4 + f**3*l**2 - 20*f**2*l**2 + 7*f*l**2 - 4*l**2 + 8 wrt f?
1056*f**2 + 6*f*l**2 - 40*l**2
Differentiate -2*s**2 + 5*s - 19008.
-4*s + 5
Find the second derivative of 1059*q**2 + 845*q.
2118
What is the derivative of 2468*t*v - 90*t + 1 wrt v?
2468*t
Find the third derivative of -6*k**5*w - 6*k**5 + 95*k**3*w + 21024*k**2*w wrt k.
-360*k**2*w - 360*k**2 + 570*w
What is the second derivative of -1160*q**4 + 2*q**3 + 4545*q?
-13920*q**2 + 12*q
What is the derivative of 42*o**3*r - 13922*o**3 - 2*o**2*r**3 + 12*r**2 wrt r?
42*o**3 - 6*o**2*r**2 + 24*r
Differentiate -h**2*q**3 - 2*h**2 - 73*q**3 + 5*q - 817 wrt q.
-3*h**2*q**2 - 219*q**2 + 5
Find the third derivative of 13*x*y**5 - 6*x*y**3 + x*y**2 + 16*x*y - 2*y**4 - 4*y wrt y.
780*x*y**2 - 36*x - 48*y
What is the second derivative of d*m*v**2*z + 17*d*m*v*z**2 + 137*d*m*v + 27*m*v**2*z**2 - 3*m*z + v*z wrt z?
34*d*m*v + 54*m*v**2
Find the first derivative of -366*g**2*u - 6*g**2 - 2017*u wrt g.
-732*g*u - 12*g
Find the third derivative of f**3*t**5 - 429*f**3*t**3 + 2*f**3*t - 51*f*t**2 wrt t.
60*f**3*t**2 - 2574*f**3
Find the first derivative of -159*j**3 + 340.
-477*j**2
Differentiate 288*x**3 - x**2 - 328 wrt x.
864*x**2 - 2*x
Find the second derivative of -3*h**4*p + 3*h**4 - 17*h**3*p + 1984*h*p wrt h.
-36*h**2*p + 36*h**2 - 102*h*p
Differentiate -8*s*v**3 - 3*s*v + 15296*s - 13*v wrt v.
-24*s*v**2 - 3*s - 13
What is the derivative of 1183*b*q**2 - 2*b + 37 wrt q?
2366*b*q
What is the derivative of 55*l*x**3 + 3*l*x + 443*x**3 + 1 wrt l?
55*x**3 + 3*x
Find the third derivative of g**6 + 740*g**4 - g**3 - 2*g**2 - 2*g + 1269.
120*g**3 + 17760*g - 6
Find the third derivative of -3642*j**3 + 973*j**2.
-21852
What is the first derivative of -s**4 - 4*s**2 - 25*s + 17512?
-4*s**3 - 8*s - 25
Find the second derivative of 629*g**2 - 96*g wrt g.
1258
Differentiate 3*u**3 - 413*u - 4355 with respect to u.
9*u**2 - 413
Find the second derivative of 4*a**3*y**3 + a**3*y - 15*a**2*y**3 - 3*a**2*y + 4*a**2 wrt y.
24*a**3*y - 90*a**2*y
What is the third derivative of 42*x**6 - 106*x**2 + x?
5040*x**3
What is the third derivative of -4*c**3*k**2 + c**3*k*v**2 - 9*c**3*q**3 - c**2*k**2*v**2 - 5*c**2*k*q**3 + 6*c**2*k*q*v**2 + 4*c**2*k wrt c?
-24*k**2 + 6*k*v**2 - 54*q**3
What is the third derivative of 1407*n**3 + 1796*n**2 wrt n?
8442
Find the first derivative of 101*g*n*s - 2*g*n + 3*g*s - 2*n*s**3 + 3084*n wrt s.
101*g*n + 3*g - 6*n*s**2
Find the second derivative of 9*c**2*d**2*q**2 - 3*c**2*d*q**2 - c**2*d*q + c*d*q - 5*d**2 + d*q wrt q.
18*c**2*d**2 - 6*c**2*d
Differentiate 2332*y + 1535 wrt y.
2332
What is the second derivative of -8*a**4 - 4*a**3 + 2*a - 9?
-96*a**2 - 24*a
Find the third derivative of -g**2*y**5 - 1645*g**2*y**4 + 5*g**2*y - 2*g*y**2 + 64*g wrt y.
-60*g**2*y**2 - 39480*g**2*y
Find the second derivative of 12541*w**4 + 6917*w wrt w.
150492*w**2
What is the second derivative of -48*b*r**2 - 4*b*r + 9*r - 1 wrt r?
-96*b
Find the second derivative of 2*a**3 - 54*a**2*f**2 - 2*a*f**2 - 4*f**2 wrt a.
12*a - 108*f**2
What is the third derivative of -2*b**4*u + b**4 - 34*b**3*u**3 - 488*b**2*u**3 wrt b?
-48*b*u + 24*b - 204*u**3
Find the first derivative of -507*c + 26.
-507
Find the first derivative of 19*a*c*w**3 - 3*a*s*w**3 + 4*a*w**2 - 4*c*s*w**3 - 2*w**3 - w wrt c.
19*a*w**3 - 4*s*w**3
What is the first derivative of -143*l**3 - 1276?
-429*l**2
Find the second derivative of 528*w**5 + 381*w.
10560*w**3
Find the second derivative of -3*o**2*z**3 + 314*o**2 + 2*o*z**3 - 2*o*z**2 + 55 wrt o.
-6*z**3 + 628
Differentiate -7*h**3 + h*m**2 + 293*m**2 - 2 with respect to h.
-21*h**2 + m**2
Find the second derivative of -144*x**4*z**
|
{
"pile_set_name": "DM Mathematics"
}
|
-40))?
2
Let m = -159 + 154. Let w(n) = 2*n + 1. Let s(g) = -g. Let o(f) = 3*s(f) + w(f). What are the prime factors of o(m)?
2, 3
Let j(z) = z**3 - 65*z**2 - 93*z + 478. List the prime factors of j(67).
3, 5, 43
Suppose 0 = 2*r + 4*s + s - 23, -4*s - 8 = -5*r. Suppose r*q = 4*n + 56, q - 3*n + 24 = 4*q. List the prime factors of q - -25 - 4/1.
2
Let v be (14/(-35))/(2/(-30))*-19. Let h = v - -194. List the prime factors of h.
2, 5
Suppose 4*p - 5*a - 44 = 0, 4*a - 4 + 2 = -3*p. List the prime factors of p/((-24)/(-364))*1.
7, 13
Let h(y) = 88*y + 44. What are the prime factors of h(18)?
2, 11, 37
List the prime factors of (-2)/((-199)/(-50) + -4).
2, 5
Suppose 0 = -w - 3*i + 1722, 2*w + 70*i = 67*i + 3432. What are the prime factors of w?
2, 3, 5, 19
Suppose 0 = -5*v - 4*x + 9068, -31*x = -v - 35*x + 1804. List the prime factors of v.
2, 227
Suppose -233 + 14813 = 15*w. What are the prime factors of w?
2, 3
Let l be 26/5 - 1/5. Suppose 4*s - 3*h - 315 = 0, s - h - 93 = -l*h. List the prime factors of s.
3
Let i(p) = p**2 - 4*p + 4. Let t be i(3). Suppose -3 = 4*c + t. List the prime factors of (9 - 8)*(-22)/c.
2, 11
Suppose -477 = -5*b + 133. Suppose -5*t + 352 - b = 0. What are the prime factors of t?
2, 23
Let v = 4459 - 3121. What are the prime factors of v?
2, 3, 223
Let v(m) = -3*m**2 + 6*m + 3. Let y be v(9). Let i = -118 - y. What are the prime factors of i?
2, 17
Let k = -355 - -780. What are the prime factors of k?
5, 17
Let j(t) = -t**3 - t**2 - 2. Let s be j(-2). Suppose 4 = 6*u - s*u + 2*d, -u - 2*d = 5. What are the prime factors of u?
3
Let l be -1 - -2 - (-4 + 5). Suppose 2*i - 3*b + b - 14 = l, b = 3*i - 25. List the prime factors of i.
3
List the prime factors of 2*-6 - (-570 + 119).
439
Suppose -4*g + 20 - 4 = 2*u, -3*u = -2*g - 8. Let j(h) = 6*h**3 - h**2 - h. List the prime factors of j(g).
2, 3, 7
Let p be (-3)/6*18/(-3). Let v be 80 - -1*(p - 1). List the prime factors of (-4 - v/6)*-3.
53
Suppose -5*m + 627 = -g, 2*m - 1816 = 5*g - 2*g. List the prime factors of (3/2)/((-3017)/g - 5).
3, 43
Suppose -z + 0*z = -5. What are the prime factors of 5/z*1*80?
2, 5
Suppose -10175 = -24*v + 14809. What are the prime factors of v?
3, 347
Let n(k) = 6*k**3 - 5*k**2 + 2*k - 18. List the prime factors of n(4).
2, 3, 7
Suppose 15 = 5*w, 546 = 2*q - 0*q - 2*w. List the prime factors of q.
2, 3, 23
Let j = -5463 + 11644. What are the prime factors of j?
7, 883
Suppose -7*v + 844 + 1571 = 0. Suppose 5*k + o = -2*o + 345, 5*k - v = o. List the prime factors of k.
3, 23
Let c(y) = 5*y - 15. Let v be c(3). Suppose 0 = 2*p - 4*n - 212, 3*n = p - v - 101. What are the prime factors of p?
2, 29
Let n(c) be the first derivative of -c**2/2 - 2*c + 2. Let h be n(-6). Suppose -3*f = 5*x - 35, -4*f + 2*x = -8 - h. List the prime factors of f.
5
What are the prime factors of (-6 - 160/25)*-45?
2, 3, 31
Let u(j) = -j**3 - 7*j**2 - 14*j + 6. Let z be u(-6). Suppose -3*o + z = a + o, -176 = -4*a + 4*o. List the prime factors of a.
2, 23
Let f(u) be the third derivative of 5*u**4/12 + 9*u**2. Suppose 5*p + 2*r = 11, 3*p - 3*r + 6 = -0*r. What are the prime factors of f(p)?
2, 5
Suppose -k + 21 = 2*k. Let u(v) = v**3 - 7*v**2 + v - 7. Let j be u(k). Suppose j = -4*z - z + 115. List the prime factors of z.
23
Let c(j) = 11*j - 124. What are the prime factors of c(32)?
2, 3, 19
Let t = 33 + -28. What are the prime factors of t - (-1 - (3 + -7)) - -16?
2, 3
Suppose -5*a + 3*q + 95 = 0, a + 2*q = -2*a + 76. Let x = a - 13. List the prime factors of x.
3
Let o(k) = -3*k - 2. Let x(r) = -2*r - 1. Let m be (18/(-27))/(1/(-6)). Let u(g) = m*o(g) - 5*x(g). What are the prime factors of u(-6)?
3
Let u(y) = 21*y**2 + 1599 - 800 + 3*y - 806. List the prime factors of u(4).
11, 31
Suppose -4*j = h - 123 - 335, -1817 = -4*h - j. List the prime factors of h.
2, 227
Let j(r) = -6*r**3 - 2*r**2 - r. Let u = 1 + -2. Let o be j(u). Suppose 1 = -i - 5*a - 4, o*i - 83 = 2*a. List the prime factors of i.
3, 5
Let p = 6681 + -3749. What are the prime factors of p?
2, 733
Suppose 2*o = -6*o + 32. Let g = 6 - o. Suppose -g*i = -7*i + 285. List the prime factors of i.
3, 19
Let l = -39 + 35. List the prime factors of ((-1)/(-9))/(l/12)*-123.
41
Let f(i) = -i**3 - 4*i**2 - 3*i + 4. Let d be f(-3). Let w be (0 - 3) + d + 29. Suppose -7*l = -6*l - w. List the prime factors of l.
2, 3, 5
Suppose -6 = -4*r + 5*r. List the prime factors of (-28)/r*(-9)/(-6).
7
What are the prime factors of (1037/680 - 1/8)*115?
7, 23
Let k(n) = -3*n**3 - 6*n**2 + 3*n - 4. Let m be k(-5). Let q = -111 + m. List the prime factors of q.
5, 19
Let a = -84 - -86. Let v(
|
{
"pile_set_name": "DM Mathematics"
}
|
second derivative of -8*f**4/3 - 106*f**3/3 + 42*f**2 + 591*f. Let t(s) = 0. Calculate s.
-7, 3/8
Let y(v) = -2*v**4 - v + 1. Let o(f) = -2*f**5 + 32*f**4 - 358*f**3 - 2656*f**2 + 344*f + 2608. Let z(m) = o(m) - 16*y(m). What is h in z(h) = 0?
-4, -1, 1, 18
Solve 2319/2*i + 49/2*i**3 - 2737/2*i**2 - 495/2 = 0.
3/7, 55
Suppose -445*m = 311*m + 44*m - 3200. Let p be 2 + (-14)/5 + 2. Determine r, given that 6/5*r**3 - 18/5*r**2 + p*r**5 + 18/5*r**m + 0 - 12/5*r = 0.
-2, -1, 0, 1
Let s be (-3)/260*52 - 4*2*-1. Suppose -s*x**3 - 103/5*x - 113/5*x**2 + 3/5*x**4 - 6 = 0. Calculate x.
-1, -2/3, 15
Let u(r) = -r**3 + 41*r**2 - 163*r + 6688. Let s be u(41). Factor -1296 - 625/2*w**s + 300*w**3 + 875*w**4 - 3240*w**2 + 3672*w.
-(w + 2)*(5*w - 6)**4/2
Let w(s) = s**2 + 18*s + 92. Let z be w(-7). Suppose 0 = -a - 1, -5*c - 2*a = -z + 7. Factor -3/4*j**c - 27/4 + 9/2*j.
-3*(j - 3)**2/4
Let o(h) be the first derivative of h**4/5 - 64*h**3/15 - 3764. Let o(p) = 0. What is p?
0, 16
Find q, given that -446/9*q**4 + 24200/3 - 8506/3*q**3 + 25520/9*q - 72154/9*q**2 - 2/9*q**5 = 0.
-110, -3, -1, 1
Suppose 2*s - 5*s + 4*q + 137 = 0, -4*s + 189 = q. Suppose -5*p - 32 = -s. Factor 3*i**4 + 2*i**p - 2651*i**5 - 4*i**2 + 0*i**2 + 1 + 2649*i**5.
-(i - 1)**3*(i + 1)*(2*i + 1)
Let p = -32 - -64. Find v such that -24*v + 3*v**2 - p*v + 196 + v**2 = 0.
7
Let l be (-12)/(-4) - 5 - -5. Suppose 5*z = -l*z + 40. Factor -32*m - z*m**3 + 3*m**3 + 6*m**3 + 8*m**2.
4*m*(m - 2)*(m + 4)
Solve 845*a - 5*a**2 + 1699 - 1476 - 1063 = 0 for a.
1, 168
Suppose 39*o + 57 + 6 - 24 = 0. Let b(n) = n**2 - n. Let h(p) = p**2 + p**2 - 4*p + 0*p**2. Let m(w) = o*h(w) + 3*b(w). Factor m(d).
d*(d + 1)
Let s(c) be the first derivative of -10*c**2 + 1/540*c**5 + 0*c + 2/27*c**3 - 1/54*c**4 + 3. Let l(p) be the second derivative of s(p). Solve l(g) = 0 for g.
2
Let -1769*b**4 + 0*b + 0*b + 1770*b**4 - 32*b**2 + b**2 + 30*b**3 = 0. Calculate b.
-31, 0, 1
Suppose 41*r + v = 38*r, v - 3 = -4*r. Suppose -10/19*h + 12/19 + 2/19*h**r - 4/19*h**2 = 0. What is h?
-2, 1, 3
Factor 0 + 450/7*g + 2/7*g**4 - 130/7*g**2 - 2/7*g**3.
2*g*(g - 5)**2*(g + 9)/7
Let v(r) = -4*r**2 + 58*r + 120. Let p(q) = -12*q**2 + 177*q + 360. Suppose 6*a + 2*h - 5 = 5*a, 26 = 3*a - 5*h. Let s(k) = a*v(k) - 2*p(k). Factor s(x).
-4*(x - 15)*(x + 2)
Let w be (8/28)/(4*4/224). Let g be (-20)/(-8)*(-8)/(-10). Determine i so that -32/7*i**3 + 4/7*i**5 + 0*i**g + 0*i**w + 64/7*i + 0 = 0.
-2, 0, 2
Suppose -181*b + 71 = -179*b + 3*y, -182 = -5*b - 6*y. Factor -85/2 + 5/2*j**2 - b*j.
5*(j - 17)*(j + 1)/2
Suppose 123*k + 15 = 118*k. Let h(l) = 3*l + 13. Let u be h(k). Suppose -4/5*w**u - 12/5*w + 12/5*w**3 - 4/5*w**2 + 8/5 = 0. What is w?
-1, 1, 2
Let o(g) be the first derivative of -2*g**5/75 + 17*g**4/30 + 28*g**3/5 + 268*g**2/15 + 368*g/15 - 983. Determine k, given that o(k) = 0.
-2, 23
Let k(d) be the third derivative of -5*d**9/3024 - 161*d**3/3 - 14*d**2. Let m(b) be the first derivative of k(b). Determine f, given that m(f) = 0.
0
Find k, given that -1/4*k**2 + 21/2 - 1/4*k = 0.
-7, 6
Find k, given that 5*k**2 - 2/7*k**3 - 146/7*k + 24 = 0.
2, 7/2, 12
Let z(u) = -11*u + 44. Let n(r) = 13*r - 74. Let l be n(6). Let o be z(l). Solve -4/9*v**3 + o + 2/9*v + 0*v**2 + 0*v**4 + 2/9*v**5 = 0 for v.
-1, 0, 1
Let s(r) be the first derivative of -3*r**6/5 + 186*r**5/25 - 103*r**4/10 - 38*r**3/5 + 112*r**2/5 - 72*r/5 - 580. Suppose s(z) = 0. Calculate z.
-1, 2/3, 1, 9
Let b(r) be the third derivative of -2/105*r**7 + 2/3*r**4 + 8/3*r**3 + 0 - 1/5*r**5 + 0*r - 2/15*r**6 - 72*r**2. Factor b(a).
-4*(a - 1)*(a + 1)*(a + 2)**2
Let b(d) be the second derivative of d**5/30 + 31*d**4/6 - 21*d**3 + 95*d**2/3 - 20*d - 3. Let b(v) = 0. Calculate v.
-95, 1
Factor -39/4*o**3 + 45*o**2 + 0 - 3/8*o**4 + 0*o.
-3*o**2*(o - 4)*(o + 30)/8
Suppose 28
|
{
"pile_set_name": "DM Mathematics"
}
|
Let a be ((-8)/10)/(9/(-45)). Let p be (-8)/a*1/(-2). Solve -b - 1 = p for b.
-2
Suppose 34 = -2*x + 3*x - h, 0 = 5*x + 2*h - 163. Suppose 2*z + 2*d - 14 = -0*z, 5*d - x = -4*z. Solve -z*l = 3*l + 10 for l.
-2
Let g be (10 - -1) + 4/(-4). Let z = 54 - 54. Suppose 3*d - 5 = r, r = 5*d - z*r - 11. Solve -d*h - g = -h for h.
-5
Let j(t) be the second derivative of t**3/3 + t**2/2 - 2*t. Suppose 6*c - 30 = -12. Let a be j(c). Solve a = 3*d - 5 for d.
4
Let j(y) = 9*y**2 - 101*y + 40. Let f be j(11). Solve 0 = 24*p - 18*p - f for p.
3
Suppose 3*i - 32*i = -87. Solve 5*y - i*y = 8 for y.
4
Suppose -26 = -s - s. Let j be -10 + 0 - (0 - 0). Let i = s + j. Solve -5 - 4 = i*q for q.
-3
Let t = -20 - -18. Let w be (-5)/t + 7/((-112)/8). Solve -w*d = 2*d for d.
0
Let r = 21 - 16. Solve -11 = -r*t - 1 for t.
2
Suppose -3*d - 2*r = 2*d - 8, -3*d = -3*r - 9. Suppose -d*g + 3*a + 2 = -0, 3*g - 18 = -3*a. Solve 0 = -y - g*y + 10 for y.
2
Let s = 190 - 186. Solve r = -0*r - s for r.
-4
Let t(d) = -5*d**2 + 6*d - 11. Let z(g) = g**2 - g + 2. Let i(j) = -2*t(j) - 11*z(j). Let r be i(-1). Let v = 4 + r. Solve v*k - 1 = -9 for k.
-2
Suppose -9*c + 498 = -6*c. Let d = c + -164. Solve 3*v - d = 5*v for v.
-1
Suppose -f + 4*f = 33. Let m(n) = n**2 - 7*n + 7. Let q be m(6). Solve -5*j + f = q for j.
2
Let l(m) = 3*m**2 - 109*m + 43. Let a be l(36). Solve a*q - q = -18 for q.
-3
Suppose g = -0*h + h + 2, -h = 5*g - 28. Let v(a) = 2*a - 47. Let q be v(24). Solve -q = -2*j + g for j.
3
Suppose 3*y - 4*b = -103, 2*y + 3*y - 3*b + 190 = 0. Let f = y - -41. Solve f = 4*s - 2*s for s.
0
Let n(g) = -g**3 - 11*g**2 - 26*g + 3. Let k be n(-8). Let y = -15 + k. Solve 4*m + 0 = -y for m.
-1
Let x(t) = t**3 + 5*t**2 - 7*t + 7. Let v be x(-6). Suppose -29*k + 3*k = 0. Solve k = 4*d + 5 - v for d.
2
Suppose 0 = -2*o - 14 + 20. Suppose 3*d = 2*u - 30, 0*d = 4*d - o*u + 41. Let w = d - -14. Solve w*p + 2 = 7*p for p.
2
Let g(p) be the third derivative of p**6/120 + p**5/15 + p**4/8 + p**3/2 + 3*p**2. Let m be g(-3). Suppose 0 = 5*t - m*t - 24. Solve -t = 3*z + z for z.
-3
Let p = -4 - -2. Let o = p - 6. Let a be o/(-2 - 2)*1. Solve 5*d - 23 = a for d.
5
Let j be 21*(-2)/(-6) - (-4 - -9). Let c be (0/(-3) - 2)/(-2). Solve -a + j*a = c for a.
1
Let d = -158 - -159. Solve 0 = s - d - 4 for s.
5
Let k(c) = 3*c**2 + c - 2. Let f be k(2). Solve 0 = -f*m + 17*m + 10 for m.
-2
Let z(j) = j**3 - 20*j**2 + 18*j + 25. Let s = 56 + -37. Let w be z(s). Solve -w = -f - 7 for f.
-1
Suppose -3*b - 2 = h, -7*h + 3*h + 22 = 2*b. Solve -2*w - 10 = -h*w for w.
2
Suppose 14 = 2*y + 2*y - 2*o, -35 = -5*y - o. Solve 3*u + y = 6*u for u.
2
Let n = -7 - -8. Solve -3*i = n + 14 for i.
-5
Suppose 5 = h + 5*g - 4, -5*g = -5. Let f(v) = -v. Let a(y) = -y**2 + y. Let n be a(-1). Let c be f(n). Solve 10 = h*z - c for z.
3
Suppose 0 = -u - u - 2*b - 12, 0 = 2*u - b + 18. Let d = u + 10. Solve 6*c = d*c for c.
0
Let p = 1 - 11. Let i be p*46/20*4. Let o be i/(-22) + 12/(-66). Solve k - o*k - 12 = 0 for k.
-4
Suppose 3*j + 19 = 4*q - 18, -26 = -5*q - 3*j. Solve -3*o + q*o = -o for o.
0
Let z = 42 - 35. Suppose -z*l - 3 = -31. Solve 9*r - l*r = 25 for r.
5
Suppose 4*q + 94 = q + 2*n, -3*q = n + 88. Let y be (-2)/(-3) + 320/q. Let f be (-4)/10 + (-54)/y. Solve -v - 16 = -f*v for v.
4
Let h be (-2)/7 - 18/(-14). Let i(k) = -k - h + 4 + 0 - 8. Let j be i(-5). Solve 2 = -j*p - p for p.
-2
Suppose 31*v - 81*v = 78*v. Suppose -4*x = 2*g - 24, 2*x - 2*g = -x + 4. Solve v = -m - x*m for m.
0
Suppose 0*s = s - 4*v - 19, 2*v = -5*s + 7. Suppose 4*m = 4*g + 28, 19*m - 5*g = 17*m - 1. Solve 0*c = -s*c + m for c.
4
Let s = 15 - -3. Let k = s - 15. Solve -h + 8 = -k*h for h.
-4
Let s(x) = -9*x**3 - 5*x**2 - 6*x - 3. Let b be s(-2). Let f be b/3 - (-7)/(-21). Solve -f = u + 3*u for u.
-5
Suppose 3*i - i = -72. Let t = 57 + i. Suppose -x - t = -4*x. Solve 2*l - x*l = -15 for l.
3
Let q = 5 - 3. Solve 0*g - q = 2*g for g.
-1
Let b = 160 - 157. Solve -4*f + 19 = b for f.
4
Suppose 0 = -4*r - 3*z + 38, -4*r
|
{
"pile_set_name": "DM Mathematics"
}
|
= -152. Solve -27*c - 30 = -f*c for c.
6
Let y = -13420 + 13445. Solve 190 = 55*i + y for i.
3
Suppose -54*n = -42*n - 336. Solve 0 = -19*f + 105 + n for f.
7
Suppose -3*f - 4*f = -140. Suppose -4*y = -0*y - 3*s + f, 5*y + 5*s = -60. Let c be (6/(-4))/(6/y). Solve -m + c = -0 for m.
2
Let w be 400/(-320)*2/5*0. Let c(v) = -v + 10. Let m be c(0). Solve m*f + 22 + 8 = w for f.
-3
Let y be 0*(-4)/20*-5 + 3. Let t = 0 + 1. Let z = y + t. Solve 4 = -z*k + 8 for k.
1
Let q be (6/10)/(9/(-180)). Let k be (q/(-8) + 0)/((-9)/(-96)). Solve 6*y - k = -2*y for y.
2
Suppose 4*d = 2*r - 0 - 16, 5*r = 2*d + 16. Suppose s = -0*s - r*s. Solve 2*f = -s*f + 6 for f.
3
Let u be ((-2024)/(-1265))/(2/5). Solve -20*w = -24*w - u for w.
-1
Suppose 3*r + 2*h - 20 = 0, 5*r = h + 2*h + 8. Suppose j + 39 = r*o, -5*o - j + 4*j + 40 = 0. Solve -3*s - 8 + o = 0 for s.
1
Suppose -2*m - 5*y + 225 = 0, -2*y = -5*m + 110 + 467. Solve 6 = 117*j - m*j for j.
3
Let c(o) = o**2 - o - 1. Let x be c(-2). Let n = -16 + 41. Let k(i) = i**3 - 24*i**2 - 27*i + 51. Let f be k(n). Solve 0 = x*m + 6 - f for m.
-1
Suppose 4*t - 5*z = 76, -7*t - 3*z + 30 = -4*t. Suppose -n = -0*n + 14. Let o = n + t. Solve o = f + f + 4 for f.
-2
Let a be ((-75)/(-100))/(63/(-24)) - (-744)/7. Solve a = -49*y - 41 for y.
-3
Suppose 5*z = 2*x + 111, 49 = 3*z + 5*x - 30. Solve 14*o - 5 = z for o.
2
Let u = 1048 - 504. Let c = -527 + u. Solve 12*m - c*m = -20 for m.
4
Let t(a) = -235 + 27*a + 5*a - 8*a + 44. Let c be t(8). Solve 2*m - c = 3 for m.
2
Let z(k) be the first derivative of k**2 + 8*k - 14. Let b be z(-3). Suppose -4*i = -b*i. Solve i*j = 5*j + 20 for j.
-4
Let f(w) = w**3 + 34*w**2 + 118*w - 32. Let m be f(-30). Solve 37 - 149 = -m*i for i.
4
Let q(c) = -245*c - 963. Let o be q(-4). Solve -123 + 208 = o*a for a.
5
Let r(t) = -112*t + 224. Let a be r(2). Let d(z) = -z**2 + 4*z. Let s be d(4). Let u = s + a. Solve 0 = -5*p - u + 5 for p.
1
Let t(b) = -b**3 + 15*b**2 - 5*b + 278. Let u be t(14). Solve 413*d = u*d + 18 for d.
2
Let z = 11037 + -11011. Solve z = -53*b + 66*b for b.
2
Let i(r) = -r**2 - 10*r - 16. Let b be i(-7). Let o be b + (-9)/(3 + 0). Solve -o + 12 = 5*v for v.
2
Let l(r) = r**2 + 5*r + 5. Let s be l(0). Suppose 22*v - 26*v + 48 = -s*g, 4*v - 48 = 4*g. Solve 9*d - 3*d - v = 0 for d.
2
Let r be (1 - 4) + -3 + -1 + 9. Solve 0 = -b - 6 + r for b.
-4
Suppose -3*q + 3 = -v, q = -3*v - 4*q + 5. Suppose 0 = -4*x - 8, v = h - 2*h + 4*x + 10. Suppose 0*n - n = h*n. Solve n = -t - t + 6 for t.
3
Let f = 4994 + -4984. Solve 0 = -2*s - f*s - 0*s for s.
0
Let n = -1203 + 1685. Solve -n*h + 10 = -477*h for h.
2
Let b = 370 - 369. Let h = 9 - b. Solve -h*q = -10*q + 10 for q.
5
Let c(j) be the first derivative of 2*j**3 + 2 - j**2 + 1/4*j**4 + 8*j. Let k be c(-6). Solve 0*v - k = -5*v for v.
4
Let s(z) = z**2 + 23*z + 84. Let o be s(-8). Let i be o/(5 + -3)*(-40)/24. Solve 7*p = 5 + i for p.
5
Suppose -4*o + 5*o = -w - 1, 4*w - 23 = 5*o. Suppose 5*p + 5*q - 80 = 0, -2*p + w*q + 2*q + 62 = 0. Let v be (6 + -2)*p/28. Solve 5*n - v + 28 = 0 for n.
-5
Let m(t) = -t**2 - 38*t - 219. Let y be m(-9). Suppose 80 = 3*n - 46. Let x = y - n. Solve -d + 5 + x = 0 for d.
5
Suppose -2*z - 4*i = 0, -3*i - 9 - 2 = -4*z. Solve 0 = -z*q + 20*q for q.
0
Suppose -1363*b + 1337*b + 208 = 0. Solve -b*o - 51 = 9*o for o.
-3
Suppose -3*r = 4*p + 6, 3*r + 22 = p + 16. Suppose u - 22 + 9 = p. Solve -4 = 11*t - u*t for t.
2
Let d be (-2 - -27) + (0 - 1) - 2. Let q = d + -46. Let x be 1/(-3) + (-80)/q. Solve x*u = 12 + 3 for u.
5
Let h = -3606 - -3630. Solve -h = -11*p + 23*p for p.
-2
Let r(b) = -b**3 - 8*b**2 + 8*b + 1. Let p be r(-9). Suppose -12*j = 17*j. Suppose 5*m + 0 = -5*c - p, j = m - c - 8. Solve m*f = 2*f + 5 for f.
5
Suppose -6*b + 50 = -100. Let j be 10/b*30/6. Solve 4*c + 10 = j*c for c.
-5
Let x(r) = -r**3 + 9*r**2 - 13*r - 12. Let l be x(6). Solve -52*v - 170 = -l*v for v.
-5
Suppose 4*o - 20 = -3*m, 0 = 3*m + 266*o - 269*o - 6. Solve m = -10*p + 54 for p.
5
Suppose u + 48*f - 52*f = -32, -24 = 5*u - 3*f. Let x = -20 - -45. Suppose 0*
|
{
"pile_set_name": "DM Mathematics"
}
|
ve l.
-4
Express 2*a - 124*a**2 - 566 + 566 as b*a**2 + j + u*a and give u.
2
Express (r + 2*r**4 - r)*(-1 - 3 - 1) + 2*r**4 - 4*r**4 + 0*r**4 - 2*r**4 + r**4 + 0*r**4 in the form v*r**3 + d*r**2 + a + i*r**4 + u*r and give i.
-13
Rearrange 1 + u - 1 - 29 - 29*u + 29 + (1 - 5 + 3)*(1 - 1 + 3*u) to n + j*u and give j.
-31
Express -2*t**2 - 3 + 2 + 8 as i*t**2 + j + p*t and give j.
7
Express 4 - 12*a - 4 - a as f*a + h and give f.
-13
Express 0*p**2 - 2*p**3 + 3*p**2 + p**4 + p**3 - p**3 in the form z*p**2 + h*p + i*p**4 + s*p**3 + u and give s.
-2
Express -2*d - d**4 + 34*d**3 + 5 + 0*d**4 - 34*d**3 + d**2 in the form n*d**4 + g*d + y*d**2 + z + q*d**3 and give y.
1
Express -189*z - 207 + 207 in the form m + f*z and give f.
-189
Express (-2*b - b + 0*b)*(-14 - 12 + 7) in the form a*b + d and give a.
57
Express -16 + 16 - 20*k as w*k + r and give w.
-20
Express -2*l**2 - 1 + 81*l**4 + 2 + 9*l + 0 - 80*l**4 in the form k + t*l + b*l**2 + d*l**4 + v*l**3 and give k.
1
Rearrange -16*l - 9*l + 3*l + (l + l - l)*(1 + 0 + 1) to the form u + t*l and give u.
0
Rearrange 41*h - 2 - 45*h + 8 - 2 to b + u*h and give u.
-4
Rearrange -14 + 25 - 16*u**2 - 11 to i*u**2 + b*u + f and give i.
-16
Rearrange -5*f + 9*f - f to b + c*f and give b.
0
Rearrange 4 - 7*q**2 + 6*q**2 + 30 + 2*q**3 + q to r + s*q**3 + y*q + k*q**2 and give s.
2
Express -6*s - 13 - 15*s + 21*s + s**2 as d*s + f + m*s**2 and give f.
-13
Rearrange -8*u - 2*u**3 + u**3 - 12 + 24 - 14 to the form l*u**3 + x*u**2 + o*u + i and give l.
-1
Express -98 + 90 - 2*p + 5*p in the form j + c*p and give c.
3
Rearrange -4*r**3 - 1 + 13*r**2 - 27*r**2 - r + 12*r**2 to k*r**3 + w + j*r**2 + f*r and give w.
-1
Express -f + 6*f + 3*f in the form h*f + d and give h.
8
Rearrange -71 + 71 + 3*n**2 - 7*n to o*n**2 + j + t*n and give t.
-7
Express -12*c + 24*c - 18*c as r*c + k and give r.
-6
Express 5 - 2*f**3 + 12*f + 6*f - 16*f + f**2 + (-f + f + f**2)*(-2*f - f + f) as n + z*f**3 + k*f**2 + o*f and give n.
5
Rearrange 4*x**2 + 0*x**3 + 3*x**4 - 3*x**2 - 5 + 2*x**3 - x + 3 to the form d + r*x**3 + c*x**4 + j*x**2 + n*x and give j.
1
Express 10 + 15*c - 10 in the form k*c + g and give k.
15
Rearrange -12*s**2 - 5*s**3 - 5*s**3 + 2*s**4 + 9*s**3 to the form t + x*s + d*s**4 + w*s**2 + f*s**3 and give w.
-12
Express -3 + u + 3 + (-3 + 3 + 2)*(2*u - 4*u + 0*u) - 1 - 4 - 11*u + 7 in the form h*u + w and give h.
-14
Express -18129 + 18129 - 208*r in the form l*r + d and give l.
-208
Rearrange 6*h**3 - h**3 + 0*h**3 + 7*h**3 + 3 to k*h + w + l*h**3 + t*h**2 and give l.
12
Rearrange 190 - 190 + 157*v**2 to w + a*v**2 + p*v and give a.
157
Rearrange (3*s - 5*s + 0*s)*(2*s - 2*s - 2*s**3) + 5*s**4 - 2*s**4 - s**4 - 5*s**2 + 4*s**2 - s**2 - 10*s**4 to b*s**4 + u*s + v + g*s**2 + c*s**3 and give b.
-4
Rearrange -8*d**2 - 9*d**2 + 13*d**2 to x*d + z*d**2 + h and give z.
-4
Rearrange -3*n**3 + 136 - n**2 - 2*n**2 - 3*n - 134 to the form a + o*n + m*n**3 + z*n**2 and give a.
2
Express (16*r - 2*r**4 + 14*r - 3 - 31*r)*(1 + 1 - 3) as u + m*r**2 + s*r + a*r**4 + l*r**3 and give u.
3
Express 1 + 4*m**4 - 2*m + 2*m - m + 11*m**4 as v*m**3 + l*m**4 + c*m + u + n*m**2 and give l.
15
Rearrange 12*l - 9*l - 2*l**2 - 3*l - 3 to p*l + q*l**2 + b and give b.
-3
Rearrange (2*n + 0*n - 3*n)*(-25*n - 17*n - 54 + 56) to m*n**2 + j + o*n and give m.
42
Express (5 - y - 2 - 1)*(-14*y + 2 + 15*y + 5*y) in the form m + d*y + u*y**2 and give u.
-6
Express p**2 - 12*p**2 + 3*p**2 + (-p + 8*p - p)*(3*p - 4*p + 3*p) in the form j*p**2 + m + k*p and give j.
4
Express (1 - 4 + 1)*(-3 + 3 - 2*m + (-2*m - 1 + 1)*(-2 + 4 + 1) + (1 - 1 - 2*m)*(-4 + 0 - 8)) as v*m + i and give v.
-32
Rearrange (-4 + 1 + 5)*(90*f + 6*f**2 - 90*f)*(3*f - 2*f + 0*f) to n*f**2 + m*f**3 + k*f + y and give m.
12
Express 5 + 5*b**3 - 7*b**3 + 8 as j*b + z*b**2 + l*b**3 + v and give v.
13
Express (3 + 0 - 1)*((-2*d + 0*d + 0*d)*(-2 - 2 + 5) - 2*d + 0*d - d - d - 2 + 2) in the form o + u*d and give u.
-12
Express -2*v + 18*v - v as a*v +
|
{
"pile_set_name": "DM Mathematics"
}
|
ctor of 994 and 1521842?
14
Calculate the highest common factor of 1420 and 5759449.
71
Calculate the highest common divisor of 680 and 1630540.
20
What is the highest common factor of 28434869 and 33237?
1231
What is the highest common divisor of 4411522 and 52?
2
What is the highest common divisor of 7035 and 79660119?
1407
Calculate the greatest common divisor of 11025 and 749475.
225
Calculate the greatest common factor of 18389007 and 2457.
819
What is the highest common factor of 18525302 and 848?
106
What is the highest common factor of 628708 and 5996?
4
Calculate the highest common factor of 68116320 and 320.
160
What is the greatest common divisor of 45236 and 427638?
526
Calculate the highest common divisor of 10 and 2956400.
10
Calculate the greatest common factor of 24143886 and 50544.
702
Calculate the highest common divisor of 1967326 and 2538.
94
Calculate the highest common factor of 14314 and 3267802.
842
Calculate the greatest common divisor of 44464139 and 101.
101
Calculate the highest common factor of 854622 and 9.
9
What is the greatest common factor of 420 and 22253910?
210
What is the highest common divisor of 88 and 247466?
2
Calculate the highest common divisor of 1248339 and 1581.
93
What is the greatest common factor of 37 and 64679219?
37
Calculate the highest common factor of 204455 and 160785.
1985
What is the highest common factor of 592713 and 66?
33
What is the greatest common factor of 1794010 and 7564915?
5185
What is the highest common factor of 294073439 and 55?
11
Calculate the highest common divisor of 693330533 and 17.
17
Calculate the highest common divisor of 4667 and 173953.
13
Calculate the greatest common factor of 8959 and 52374841.
527
Calculate the highest common divisor of 73970165 and 1.
1
Calculate the highest common factor of 20384 and 37804.
52
What is the highest common divisor of 844 and 308229644?
844
What is the greatest common divisor of 1479 and 12530088?
1479
What is the highest common divisor of 1392 and 205455372?
348
Calculate the highest common factor of 8687 and 131257.
119
Calculate the greatest common factor of 9178 and 47242696.
706
Calculate the highest common factor of 3490700397 and 11801.
11801
Calculate the highest common factor of 12 and 8067024.
12
Calculate the highest common divisor of 36271 and 689377.
19
What is the highest common factor of 2202575 and 35625?
475
Calculate the greatest common divisor of 3937848 and 41736.
1128
What is the greatest common factor of 2018826 and 1311?
57
Calculate the highest common factor of 12 and 2314887.
3
Calculate the highest common factor of 3800232092 and 124.
124
What is the highest common divisor of 3408 and 1366182?
426
What is the highest common factor of 235619 and 532?
19
What is the highest common divisor of 975 and 4071990?
195
What is the highest common divisor of 304 and 647957?
19
Calculate the highest common factor of 568 and 37640.
8
Calculate the highest common divisor of 8127 and 257613.
129
What is the highest common divisor of 1190371 and 22225?
889
What is the greatest common divisor of 159468554 and 322?
14
Calculate the greatest common factor of 20 and 2101756.
4
What is the highest common factor of 4920 and 8030040?
120
What is the highest common divisor of 99153 and 529?
23
What is the greatest common factor of 8239324 and 2445?
163
Calculate the greatest common divisor of 1185 and 56495270.
395
Calculate the highest common factor of 13551 and 1764.
3
What is the greatest common factor of 84 and 17045742?
42
What is the greatest common factor of 1820 and 44518740?
140
Calculate the highest common factor of 48002119 and 22.
11
What is the greatest common divisor of 7 and 4456571?
7
What is the greatest common divisor of 6634 and 82457303?
3317
What is the highest common factor of 17485 and 634738?
13
Calculate the greatest common divisor of 31640 and 16380028.
3164
Calculate the greatest common divisor of 329478 and 1.
1
Calculate the highest common divisor of 2863915 and 27295.
515
What is the greatest common divisor of 4930190 and 35?
5
What is the greatest common divisor of 52528 and 1079568?
784
What is the greatest common divisor of 882 and 141659?
49
Calculate the greatest common divisor of 99360 and 358455.
345
What is the highest common divisor of 5434534 and 6398?
14
What is the highest common factor of 6 and 1333734?
6
Calculate the greatest common divisor of 1690848 and 187164.
108
Calculate the highest common factor of 2679 and 232021939.
893
Calculate the highest common divisor of 90612750 and 750.
750
What is the greatest common divisor of 13460 and 5297220?
20
What is the greatest common divisor of 237 and 32157?
3
Calculate the greatest common divisor of 6 and 10541877.
3
What is the highest common factor of 2871 and 2940861?
957
Calculate the highest common factor of 82394517 and 327.
327
What is the greatest common factor of 328489 and 21359653?
1967
Calculate the greatest common factor of 2127373992 and 72.
72
Calculate the highest common factor of 13104 and 122976.
1008
Calculate the highest common factor of 8070 and 1443555.
15
Calculate the highest common factor of 10764 and 591123.
897
What is the greatest common divisor of 414078 and 266?
14
What is the greatest common factor of 6764050 and 100?
50
Calculate the highest common factor of 9768 and 603692.
148
What is the greatest common factor of 17176275 and 7857?
873
What is the greatest common factor of 36 and 164953338?
6
What is the greatest common divisor of 2314 and 24063988?
26
Calculate the highest common divisor of 3024 and 835408.
112
What is the highest common divisor of 145250 and 2142728?
1162
Calculate the highest common divisor of 3174805 and 4807.
437
Calculate the greatest common divisor of 5386544 and 171776.
976
Calculate the highest common factor of 344462 and 126845162.
11878
What is the highest common divisor of 52 and 138308?
4
Calculate the highest common factor of 24187 and 65794.
67
Calculate the greatest common divisor of 7 and 124616744.
7
Calculate the highest common divisor of 8528 and 206464.
16
Calculate the highest common factor of 255619 and 2597.
371
What is the greatest common factor of 383500 and 1631500?
6500
Calculate the highest common divisor of 9 and 21110022.
9
Calculate the highest common factor of 1170 and 48220.
10
What is the greatest common factor of 14580 and 71243820?
540
What is the highest common divisor of 461593980 and 342?
342
What is the greatest common divisor of 13265570 and 25?
5
Calculate the highest common divisor of 105 and 3698184.
21
Calculate the greatest common factor of 189696 and 260.
52
Calculate the highest common divisor of 292 and 1263436.
4
What is the greatest common divisor of 156914 and 6834?
134
What is the highest common divisor of 22891350 and 415950?
7050
What is the highest common factor of 12735 and 3191940?
45
What is the greatest common divisor of 82259 and 499293?
1913
What is the greatest common factor of 12 and 23790999?
3
What is the greatest common divisor of 43 and 578377133?
43
Calculate the highest common factor of 2446203683 and 71.
71
Calculate the greatest common factor of 25092478 and 32992.
2062
What is the highest common divisor of 1268 and 258462146?
634
What is the highest common divisor of 4601056 and 101716?
236
What is the highest common factor of 816669 and 5280262?
4321
What is the greatest common divisor of 30296060 and 402?
134
Calculate the greatest common factor of 399 and 414259090.
133
Calculate the highest common factor of 48777 and 444489.
687
Calculate the highest common
|
{
"pile_set_name": "DM Mathematics"
}
|
is the closest to 1/3? (a) j (b) 2 (c) 2/3
a
Suppose -10 + 34 = 3*a. Suppose -2*r + 1 - 9 = 0. Let t = r + a. What is the closest to 0 in 0.1, 1, t?
0.1
Let p = -0.74 - -1.04. What is the closest to -2/5 in 1, p, -4?
p
Let f = -0.3 - -0.1. Let x = f - -0.3. Let h be -1 + -3 - (-145)/40. Which is the closest to x? (a) -1/4 (b) 3 (c) h
a
Let x = -0.06 + 0.16. Let d = -15.8 - -16. What is the nearest to x in 2/11, d, -1?
2/11
Let a = 2.5 + -3. Let c = -0.05 + 3.55. Let t = c - a. What is the closest to 0.1 in t, 0, -1?
0
Suppose 3*y - 15 = -2*v, 0 = 5*v - 2*y - 11 + 2. Let d = -5.1 - -2.1. What is the closest to -0.1 in 2/5, d, v?
2/5
Let v = 176 + -1582/9. Which is the closest to v? (a) 0.4 (b) -2 (c) -0.2
a
Let i(j) = -4*j**3 - 2*j**3 + 5*j**3 + 3*j**2 - 1. Let g be i(2). Let h be g/5 + (-78)/80. What is the closest to -1 in -1/3, h, 3?
h
Let v = 19 - 8. Let u be (-4)/10 - v/(-15). Let x = 69 - 74. What is the closest to u in -5/2, 4, x?
-5/2
Let x be (-14)/15 + 30/50. Let p be (10/150)/((-2)/4). Which is the closest to 1/3? (a) -0.4 (b) x (c) p
c
Let n be 1*-1*(0 + 4). Let y be ((-1)/((-21)/6))/2. Which is the closest to -0.1? (a) y (b) -0.2 (c) n
b
Let q = 1.1 + -1. Suppose 0 = 2*o + 3*o + 2*d - 28, -4*o - 5*d = -36. Which is the nearest to q? (a) o (b) -3/2 (c) -0.5
c
Let z = -6 - -1. Let t be (-8)/3 - 2/6. What is the nearest to 3 in t, z, -2/13?
-2/13
Let z = -0.3 + 0.6. Let j = z - 0.2. Let s = -0.59 - -0.39. Which is the nearest to -0.3? (a) -1/2 (b) s (c) j
b
Let h be (-14 + 4)*2/5 - 1. Let j = -0.7 - -0.4. Let t = -0.2 - j. Which is the nearest to 2? (a) t (b) 2/5 (c) h
b
Let m = -15 + 10. Let b = 0.4 + -0.5. Let j = b - -0.2. What is the nearest to -0.1 in m, j, 0?
0
Let p = 0.01 + -0.14. Let z = p + -0.77. Let s = 0.1 - z. Which is the nearest to s? (a) 0.4 (b) -3 (c) 2/15
a
Let m = 33.62 + -34. Let h = -0.12 + m. What is the nearest to 1 in 6, h, -1/3?
-1/3
Let w = -0.7 - -1.7. Let i = 2.7 - -0.3. What is the nearest to -2 in -4, w, i?
-4
Let t = -50.58 + 51. Let y = t - 0.02. Which is the closest to 0? (a) 0 (b) 1/3 (c) y
a
Let k be ((-132)/9 - -2)/(-4). Let g = -3 + k. Let m = -1.1 + 1. Which is the nearest to m? (a) g (b) -3 (c) 5
a
Let s = 0.4 + -1.4. Let l = 0.01 - 2.01. Let y = 3/7 - 19/28. What is the closest to y in -5, l, s?
s
Let l = -10.9 + 11. Which is the closest to l? (a) -1 (b) -1/3 (c) 2
b
Let c = 33 - 32.6. What is the closest to 5 in 0, c, 3?
3
Let s = -0.11 - 0.29. What is the nearest to 0.1 in 0, s, -5?
0
Suppose 0 = -6*u + 4*u - 2, -3*u + 5 = 4*b. Let s = 1.1 - 6.1. What is the nearest to 1 in s, -1/8, b?
b
Let o = -0.09 + 0.19. Let y = -1.8 - 8.2. Let d = -7 - y. Which is the closest to o? (a) -5 (b) d (c) -4
b
Let b = -5 - -7. Let h = b - 1.9. Let q = -5 + 5.4. What is the closest to 0 in -2/7, h, q?
h
Let c = -18 - -11. What is the nearest to c in 1/4, 6/11, 2?
1/4
Suppose 5 = -z + 1. Let g be z/(-10) + (-72)/105. Suppose -2*r = 3*n + 4, 15*r - 10*r - 5*n = -10. Which is the closest to g? (a) r (b) -3 (c) 1/8
c
Let z = 0 - 3. Let g be 1 + (-30)/16 + 1. Let q = -356/865 - -2/173. Which is the nearest to q? (a) -0.5 (b) z (c) g
a
Let n = 2 + -4. Let f = -113 + 231/2. Let o = -0.19 - -0.49. Which is the closest to n? (a) o (b) f (c) -0.4
c
Let d = 0 - -0.1. Let x = -0.3 + d. Which is the closest to 0.1? (a) -3 (b) -2 (c) x
c
Suppose 0 = -3*s - 2*z + 2 - 3, -3*s = 4*z - 7. Let q = -2.1 - -0.1. Which is the nearest to -1? (a) s (b) -1 (c) q
b
Let j be 6/6 + 2/(-2). Suppose j*w = -4*w - 5*m - 21, 0 = -2*w + 3*m + 17. Let q be (4/14)/(3/7). Which is the nearest to 0.1? (a) w (b) 0 (c) q
b
Let y = 1 + -7. Let p be (-3)/6*y - -2. What is the closest to 2/5 in -1/4, p, -0.2?
-0.2
Let g(o) = 2*o. Let d be g(1). Let u = 2.33 - 2.28. Which is the closest to 0? (a) u (b) d (c) 5
a
Suppose -z + 4 = -3*o, o + z - 2 - 2 = 0. Let y be (-24)/(-10)*(-9)/(-36). Which is the nearest to o? (a) y (b) -1/2 (c) -5
b
Suppose 7*l = 3*l - 12. Which is the closest to
|
{
"pile_set_name": "DM Mathematics"
}
|
Let h(d) = d**3 + 12*d**2 + 45*d + 501. What is h(-11)?
127
Let s(g) = 22*g**2 - 259*g - 59. Give s(13).
292
Let f(y) = -2*y**2 - 101*y - 1220. What is f(-35)?
-135
Let m(b) = -7*b**2 + 9*b - 18. Calculate m(3).
-54
Let z(j) = j**2 - 73*j - 2435. Calculate z(98).
15
Let n(j) = 28*j + 2080. Calculate n(-74).
8
Let l(m) = -m**3 - 5*m**2 - 7*m - 2. Determine l(-6).
76
Let f(w) = 47*w + 1735. Determine f(-37).
-4
Let b(a) = 430*a + 911. Determine b(-3).
-379
Let d(z) = -29*z + 1286. Calculate d(46).
-48
Let j(n) = -7*n**3 + 141*n**2 - 29*n + 198. Determine j(20).
18
Let q(i) = 11*i - 200. Calculate q(16).
-24
Let b(x) = -x**3 + 16*x**2 + 267*x - 58. What is b(26)?
124
Let h(f) = -f - 149. Give h(-56).
-93
Let r(y) = 364*y - 2490. What is r(7)?
58
Let c(n) = 17*n**2 + 52*n + 55. What is c(-1)?
20
Let y(x) = -x**2 + 5*x + 350. Calculate y(21).
14
Let c(y) = -5*y**2 + 253*y - 309. Give c(50).
-159
Let q(k) = -767*k - 34514. What is q(-45)?
1
Let l(j) = 287*j + 864. Calculate l(-3).
3
Let d(m) = -269*m - 37. What is d(0)?
-37
Let p(j) = 31*j - 3374. What is p(111)?
67
Let f(u) = -180*u + 710. What is f(4)?
-10
Let q(z) = z**2 + 20*z - 115. Give q(-29).
146
Let m(c) = -117*c + 219. Calculate m(2).
-15
Let o(x) = 2*x**2 - 182*x - 1122. What is o(97)?
42
Let a(v) = 146*v + 723. Determine a(-5).
-7
Let w(v) = -291*v + 3827. Calculate w(12).
335
Let b(l) = -57*l - 666. Determine b(-11).
-39
Let t(d) = -14*d + 542. What is t(38)?
10
Let i(p) = -19*p**3 + p**2 + 2*p + 5. Calculate i(-2).
157
Let l(c) = -201*c - 1283. Determine l(-6).
-77
Let c(z) = -3*z**3 + 21*z**2 + 4*z - 28. Determine c(7).
0
Let x(a) = a**2 + 59*a - 7165. What is x(-119)?
-25
Let i(w) = -w**3 + 124*w**2 - 284*w + 4838. Give i(122).
-42
Let v(q) = q**2 - 303*q + 1767. Determine v(6).
-15
Let i(z) = -26*z + 157. Determine i(16).
-259
Let x(c) = 4*c**2 + 25*c - 18. Determine x(-9).
81
Let o(s) = -26*s**3 - s**2 - 2*s + 1. Determine o(1).
-28
Let n(y) = -321*y + 2248. Calculate n(7).
1
Let f(o) = -893*o + 3650. Determine f(4).
78
Let m(a) = a**2 + 31*a + 42. Calculate m(-11).
-178
Let s(b) = b**3 - 3*b**2 - 31*b + 12. Calculate s(7).
-9
Let o(p) = p**3 - 12*p**2 - 28*p + 305. Determine o(11).
-124
Let c(h) = 17*h**2 + 218*h - 44. What is c(-13)?
-5
Let b(u) = -u**3 - 10*u**2 - 4*u + 36. Determine b(-10).
76
Let i(r) = -r**3 - 15*r**2 + 43*r + 159. Give i(-17).
6
Let h(p) = -2*p**3 - 47*p**2 - 269*p - 11. Give h(-10).
-21
Let m(s) = 4*s**3 + 3*s**2 + 2*s + 20. Calculate m(-3).
-67
Let x(r) = 49*r**2 - 202*r - 20. What is x(5)?
195
Let v(r) = 2*r**2 - 14*r + 61. Give v(14).
257
Let v(r) = -24*r**2 - 158*r + 410. What is v(2)?
-2
Let i(u) = -11*u - 335. Calculate i(-26).
-49
Let k(i) = 834*i + 4195. Determine k(-5).
25
Let u(k) = 13*k**2 - 82*k + 6. What is u(6)?
-18
Let c(z) = z**2 - 38*z + 101. Determine c(34).
-35
Let z(o) = o**3 - 11*o**2 + o - 104. Determine z(11).
-93
Let x(c) = -68*c + 14603. Determine x(213).
119
Let c(o) = o**3 + 6*o**2 - 55*o + 25. Calculate c(-11).
25
Let g(c) = c**2 - 12*c - 103. Give g(-6).
5
Let h(o) = o**3 + 7*o**2 + 2*o - 12. Calculate h(-6).
12
Let m(t) = -t**3 - 41*t**2 - 48*t - 200. Give m(-40).
120
Let t(z) = 16*z - 72. Calculate t(7).
40
Let s(i) = -i**3 + 18*i**2 - 81*i + 201. Determine s(13).
-7
Let x(q) = -q**3 - 25*q**2 - 20*q + 61. What is x(-24)?
-35
Let n(y) = -730*y + 10945. Calculate n(15).
-5
Let p(w) = 18*w + 37. What is p(12)?
253
Let j(y) = 17*y + 1283. What is j(-61)?
246
Let g(w) = 369*w + 2216. Give g(-6).
2
Let d(b) = -509*b - 79. Calculate d(1).
-588
Let m(v) = -4*v**2 + 96*v - 496. Determine m(8).
16
Let z(o) = 8565*o - 359725. Calculate z(42).
5
Let u(w) = -w**3 + 8*w**2 - 7*w - 18. Determine u(3).
6
Let f(o) = -2*o**3 - 5*o**2 - 117*o - 1258. Determine f(-7).
2
Let w(c) = c**3 + 52*c**2 - 925*c - 82. Calculate w(-66).
-16
Let n(s) = 3527*s - 134025. What is n(38)?
1
Let n(w) = -w**2 + 33*w + 597. Give n(-13).
-1
Let j(f) = -466*f**2 + 6*f - 5. Give j(1).
-465
Let u(
|
{
"pile_set_name": "DM Mathematics"
}
|
e?
False
Let m(l) = 354*l**2 - l. Let c be m(1). Suppose -3*b + c = 2*r, -b - r = -0*r - 116. Is b composite?
True
Let f = -48 - -377. Is f a composite number?
True
Let c = -581 - -899. Suppose c = 2*z + 124. Is z prime?
True
Let k(x) = 2*x**3 + x**2 - 2*x - 2. Let v be k(-1). Is (23/v)/((-3)/39) composite?
True
Let y(w) = 84*w**2 + 3*w - 2. Is y(1) a prime number?
False
Let s = -10 - -13. Suppose -2*b + 3 = -0*b + 3*m, -5*b + s*m - 3 = 0. Suppose r - 13 - 10 = b. Is r composite?
False
Let p be 2 + 62 + 0 + -1. Suppose 2*m - 1 = 3. Suppose -p - 39 = -m*t. Is t prime?
False
Suppose -2*t - 3*i + 0*i = -28, -3*t + i + 20 = 0. Let m(c) = -c**3 + 9*c**2 - 2*c - 5. Is m(t) a prime number?
True
Let k = -11 + 13. Suppose 6*r = 5*r - 4, 4*r + 46 = k*u. Is u a composite number?
True
Let h be 6/24 + (-15)/(-4). Suppose -5*x + h + 1 = 0, -4*f = x - 149. Is f prime?
True
Let l be 2/(-6) + 104/24. Suppose -o - 2*s + 1640 = l*o, -5 = -s. Is o composite?
True
Let f(r) = r + 1. Let k be f(-1). Suppose k*q + 2*q - 406 = 0. Is q composite?
True
Let p(g) = 3 - 19*g**2 - g - 2 + 0. Let i be p(1). Let s = i + 74. Is s a composite number?
True
Suppose 0 = 2*r - r - 113. Let v = 159 - r. Suppose -19 = 3*a - v. Is a prime?
False
Let v(o) = -3*o**2 - 4*o - 3. Let x be v(-2). Let m(g) = -g**2 - 13*g - 7. Is m(x) a composite number?
True
Let u(p) = -5*p - p**3 - p**2 + p**2 + 0*p**2 - 4*p**2 - 1. Is u(-4) a composite number?
False
Let b(d) = -d**3 + 28*d**2 - 9*d - 27. Is b(11) composite?
False
Suppose 0 = j + 3*k - 215, 236 + 638 = 4*j + 5*k. Is j a prime number?
False
Is 4 - (-1 - (-1588)/(-2)) a prime number?
False
Let g(a) = -16*a + 9. Let x be g(-7). Let q = x - 190. Is -6*q/6 + -2 a prime number?
True
Suppose 6*v - 750 = -3*q + 3*v, 4 = 4*v. Suppose -5*p = -2*x + 192 - 26, 3*x - 5*p - q = 0. Is x a composite number?
False
Let v be (-1 + 1 + -2)/(-1). Let k be 1*(-3 + v + 0). Is (4/(-6))/(k/15) a prime number?
False
Suppose -4*r = r. Suppose r = -b, -q + 3*b + b = -43. Is q prime?
True
Let c(y) = 8*y**3 + 8*y**2 - 7*y + 13. Is c(6) composite?
False
Suppose t - 484 = -2*b + 5*b, 3*b = -15. Is t a composite number?
True
Suppose 4*h + 3199 = 3*j + 13032, -12299 = -5*h - 4*j. Is h composite?
False
Let d(b) = -b**3 + 5*b**2 - 4*b - 2. Let t be d(-4). Is t - 6/(4/2) composite?
True
Suppose b - 5*b + 8 = 0. Let g = b + -4. Is 6/3*(-35)/g a composite number?
True
Let p = 6 - 7. Let v(u) = u - 1. Let i be v(p). Is i/6 + (-160)/(-3) a composite number?
False
Suppose 3242 = 2*d + 5*o, 0 = 4*d - o - 311 - 6173. Is d a composite number?
False
Let g(a) = 44*a**2 - 4*a + 1. Is g(-3) composite?
False
Let z(k) = k**3 - 10*k**2 - 16*k - 6. Is z(13) composite?
False
Is 2033 - (-1 - 2) - 3 composite?
True
Let w(t) = 164*t + 11. Is w(4) a composite number?
True
Suppose 0 = -2*i - 3*m + 309, 4*i = -0*i + 2*m + 642. Suppose 0*p + 4*p + 36 = 4*w, 3*p + 7 = -2*w. Suppose c - w*c + i = 0. Is c a prime number?
True
Let a = -275 + 424. Is a prime?
True
Let a = 4308 - 1021. Is a composite?
True
Is (-21)/(-6)*(-8 + 670) a composite number?
True
Let r be 38/9 - (-14)/(-63). Is (-2)/4 + 286/r prime?
True
Let f be (-1)/3 - 30/(-9). Suppose f*n = -2*n - 10. Is 86/4 + (-1)/n prime?
False
Suppose -5*n + 11871 = 3*h + h, 2*n = -2*h + 4750. Is n a composite number?
False
Suppose -b + n + 11 = 6*n, 0 = -4*b + 4*n + 92. Suppose 4*h - b = 3*h. Is h a prime number?
False
Let m(v) = -v + 2*v - 2*v**2 + 3*v**2 + 9. Let r be m(-7). Suppose 3*g = -0*g - 4*c + 169, -g + 4*c = -r. Is g a composite number?
True
Let k(m) = m**2 - 3*m + 1. Let t be k(7). Suppose 1 = o + 6, 0 = f - 5*o - t. Suppose -86 = -f*a + 2*a. Is a a composite number?
False
Suppose -1132 - 1382 = -2*s. Is s a composite number?
True
Let w(k) = 2*k**2 + 14*k + 5. Let q be w(-7). Suppose 0 = -3*f - 0*f + q*z + 1859, 1871 = 3*f + z. Is f prime?
False
Suppose 0 = z + 4*z + 10. Let b be 2/4 + (-19)/z. Let u = 17 - b. Is u a prime number?
True
Let u(a) be the third derivative of a**4/6 - a**3 - 4*a**2. Is u(11) a prime number?
False
Suppose -4*n = -r - 273, 5*n = -4*r + 3*r + 330. Is n prime?
True
Suppose -2*m + 0*m = -3*w - 53, 76 = 3*m - w. Is m/(-3)*6/(-2) a prime number?
False
Suppose -380 = -6*i + 2*i. Is i a composite number?
True
Suppose 5*y + 5*m = 280, 6*m - 3*m + 36 = y. Suppose -5*i = 4*s - y, 2*s - 10 - 13 = -3*i. Is s a composite number?
False
Let i(c) = -c**2 + 6*c - 3. Let z be 42/(-8) + (-2)/(-8). Let j be i(z). Let k = j - -84. Is k prime?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
0, -20241, -19242, -18243?
-17244
What is the next term in -104376, -208708, -313032, -417348, -521656?
-625956
What comes next: -7873722, -15747441, -23621156, -31494867, -39368574, -47242277, -55115976?
-62989671
What comes next: 3708, 7795, 11882, 15969?
20056
What is the next term in 7118419, 14236802, 21355185, 28473568, 35591951, 42710334?
49828717
What is the next term in 98526, 99074, 100002, 101322, 103046?
105186
What is the next term in -33453, -34375, -35297?
-36219
What is next in 11116, 21182, 31236, 41272, 51284, 61266?
71212
What comes next: 18511, 37020, 55529, 74038?
92547
What comes next: -10044105, -10044111, -10044117, -10044123, -10044129, -10044135?
-10044141
What comes next: -17275698, -17275695, -17275692?
-17275689
What is the next term in -59744847, -119489694, -179234541, -238979388?
-298724235
What is next in -1066, -1282, -1846, -2932, -4714, -7366, -11062, -15976?
-22282
What is next in -245951805, -491903599, -737855385, -983807157, -1229758909, -1475710635?
-1721662329
What is the next term in -63823266, -127646521, -191469776, -255293031, -319116286?
-382939541
What comes next: 132787, 264373, 395959, 527545, 659131?
790717
What is the next term in 53401175, 106802341, 160203507, 213604673, 267005839?
320407005
What comes next: 3581, 7191, 10841, 14549, 18333?
22211
What is the next term in 22753, 22778, 22805, 22834, 22865, 22898, 22933?
22970
What comes next: -37839757, -37839759, -37839761, -37839763, -37839765, -37839767?
-37839769
What is next in 20529631, 20529642, 20529651, 20529658, 20529663, 20529666, 20529667?
20529666
What comes next: -14368, -23911, -33454, -42997, -52540?
-62083
What is the next term in 99698, 98976, 98254, 97532?
96810
What is next in 176814, 176775, 176710, 176619, 176502, 176359?
176190
What is the next term in 62601, 124748, 186895, 249042, 311189?
373336
What comes next: 265265, 265133, 265015, 264917, 264845, 264805, 264803, 264845?
264937
What comes next: -38678, -154703, -348064, -618761, -966794?
-1392163
What comes next: -6634, -12659, -18678, -24691, -30698, -36699?
-42694
What is the next term in -14346, -56365, -126070, -223461, -348538, -501301?
-681750
What comes next: -834516, -1669932, -2505328, -3340698, -4176036, -5011336, -5846592?
-6681798
What is next in 91512, 183374, 275236?
367098
What is next in 21392, 18519, 13734, 7043, -1548, -12033, -24406, -38661?
-54792
What comes next: -310, 171, 928, 1961, 3270?
4855
What is next in 177846, 355530, 533214, 710898?
888582
What is the next term in 13584, 25376, 37168, 48960, 60752, 72544?
84336
What comes next: 60125, 120228, 180273, 240260?
300189
What comes next: 9524, 41921, 120060, 266813, 505052, 857649, 1347476?
1997405
What comes next: -4309, -17467, -39475, -70327, -110017, -158539?
-215887
What is next in 141, 956, 3093, 7200, 13925, 23916?
37821
What is the next term in -17096251, -34192497, -51288743?
-68384989
What is the next term in 4374860, 8749832, 13124804, 17499776, 21874748, 26249720?
30624692
What is next in -2659565, -5319130, -7978695, -10638260, -13297825?
-15957390
What is next in 14403, 29090, 43861, 58716?
73655
What is next in -40, 178, 656, 1496, 2800, 4670?
7208
What is next in -5556, -21926, -49208, -87402, -136508, -196526?
-267456
What comes next: 4360, 31724, 105118, 247558, 482060?
831640
What is the next term in 132666, 132766, 132870, 132984, 133114?
133266
What is next in -66372423, -132744853, -199117283, -265489713, -331862143, -398234573?
-464607003
What is next in -681898, -1363830, -2045764, -2727700, -3409638?
-4091578
What comes next: 664958, 2659713, 5984304, 10638731, 16622994, 23937093, 32581028?
42554799
What is next in 722, 3313, 7540, 13403?
20902
What is next in -293, -611, -1147, -1943, -3041, -4483, -6311, -8567?
-11293
What comes next: -2440, -18374, -61322, -144790, -282284, -487310, -773374?
-1153982
What is the next term in -1144, -4000, -8638, -15058, -23260?
-33244
What is next in -381744, -381723, -381686, -381633, -381564?
-381479
What is next in -2691, -2657, -2583, -2469, -2315?
-2121
What is the next term in 3310, 2594, 1878, 1162, 446?
-270
What comes next: 1916855, 3833697, 5750529, 7667351, 9584163, 11500965?
13417757
What is next in 21123, 22553, 23981, 25407?
26831
What comes next: 1737785, 3475566, 5213345, 6951122, 8688897, 10426670, 12164441?
13902210
What is next in -7337, -7292, -7247?
-7202
What comes next: 99139, 198382, 297745, 397228?
496831
What is the next term in 153, -1076, -3125, -5994?
-9683
What is the next term in -338, -352, -350, -338, -322, -308, -302?
-310
What comes next: 75249670, 150499342, 225749014, 300998686, 376248358?
451498030
What is the next term in 1266, 2446, 3510, 4428, 5170, 5706?
6006
What comes next: 19498, 379
|
{
"pile_set_name": "DM Mathematics"
}
|
ded by 192?
191
What is the remainder when 234206 is divided by 58535?
66
What is the remainder when 1251853 is divided by 19257?
148
Calculate the remainder when 2594989 is divided by 119.
75
What is the remainder when 236686 is divided by 789?
775
What is the remainder when 514104 is divided by 42820?
264
What is the remainder when 62041784 is divided by 174?
170
What is the remainder when 28081951 is divided by 32?
31
Calculate the remainder when 252773 is divided by 1076.
989
What is the remainder when 118866521 is divided by 59433257?
7
What is the remainder when 10530421 is divided by 1045?
1001
What is the remainder when 300065 is divided by 9399?
8696
Calculate the remainder when 3232181 is divided by 62.
59
What is the remainder when 1544333 is divided by 662?
549
Calculate the remainder when 302672 is divided by 37599.
1880
What is the remainder when 522340 is divided by 896?
868
What is the remainder when 36561670 is divided by 83?
4
Calculate the remainder when 19190 is divided by 19033.
157
Calculate the remainder when 923370 is divided by 920.
610
What is the remainder when 15931165 is divided by 15931165?
0
What is the remainder when 2205232 is divided by 5928?
16
Calculate the remainder when 1112881 is divided by 158925.
406
Calculate the remainder when 12527820 is divided by 260.
240
What is the remainder when 5335728 is divided by 32142?
156
What is the remainder when 3170879 is divided by 22?
19
Calculate the remainder when 62525520 is divided by 401.
397
What is the remainder when 10860487 is divided by 57?
49
What is the remainder when 93362 is divided by 8480?
82
Calculate the remainder when 118100 is divided by 114129.
3971
What is the remainder when 8135959 is divided by 6452?
6439
Calculate the remainder when 2261259 is divided by 1264.
1227
Calculate the remainder when 20385402 is divided by 15.
12
Calculate the remainder when 55109625 is divided by 466.
465
What is the remainder when 16317911 is divided by 453275?
11
Calculate the remainder when 164665 is divided by 40429.
2949
Calculate the remainder when 301308 is divided by 504.
420
What is the remainder when 388175 is divided by 1277?
1244
Calculate the remainder when 21557806 is divided by 554.
4
What is the remainder when 792869 is divided by 6146?
35
Calculate the remainder when 45409946 is divided by 9.
5
Calculate the remainder when 81408309 is divided by 20352074.
13
Calculate the remainder when 10132455 is divided by 5066225.
5
Calculate the remainder when 120030 is divided by 9223.
131
Calculate the remainder when 22052653 is divided by 494.
493
Calculate the remainder when 5797587 is divided by 58.
23
What is the remainder when 3703422 is divided by 38?
18
Calculate the remainder when 392604 is divided by 130113.
2265
What is the remainder when 7165518 is divided by 135?
123
What is the remainder when 5262913 is divided by 61905?
988
Calculate the remainder when 16934480 is divided by 1101.
1100
Calculate the remainder when 6467056 is divided by 1302.
22
Calculate the remainder when 1739011 is divided by 36999.
58
Calculate the remainder when 219 is divided by 102.
15
Calculate the remainder when 5287879 is divided by 278309.
8
What is the remainder when 26698355 is divided by 17?
8
Calculate the remainder when 50244951 is divided by 12081.
72
What is the remainder when 703817 is divided by 64?
9
What is the remainder when 1978185 is divided by 179831?
44
Calculate the remainder when 225207 is divided by 31758.
2901
What is the remainder when 2880165 is divided by 1444?
829
Calculate the remainder when 16696 is divided by 14816.
1880
What is the remainder when 97681 is divided by 11?
1
What is the remainder when 89283155 is divided by 10?
5
Calculate the remainder when 5665737 is divided by 566568.
57
Calculate the remainder when 465546507 is divided by 390.
387
What is the remainder when 77895089 is divided by 585?
584
What is the remainder when 934677 is divided by 141?
129
Calculate the remainder when 1632281 is divided by 326437.
96
What is the remainder when 14955090 is divided by 272?
258
What is the remainder when 95826855 is divided by 34?
31
Calculate the remainder when 49221 is divided by 1097.
953
Calculate the remainder when 742154 is divided by 7136.
10
Calculate the remainder when 7628341 is divided by 66.
61
Calculate the remainder when 75900002 is divided by 18.
14
Calculate the remainder when 65472687 is divided by 15.
12
What is the remainder when 109469 is divided by 7811?
115
What is the remainder when 1535003 is divided by 767287?
429
What is the remainder when 200093 is divided by 362?
269
Calculate the remainder when 147378 is divided by 1989.
192
What is the remainder when 97600 is divided by 32529?
13
What is the remainder when 119064 is divided by 2533?
13
Calculate the remainder when 4406154 is divided by 734357.
12
Calculate the remainder when 98172137 is divided by 3949.
3946
What is the remainder when 205694 is divided by 374?
368
Calculate the remainder when 62257 is divided by 61665.
592
Calculate the remainder when 358292 is divided by 326.
18
What is the remainder when 4989396 is divided by 19799?
48
What is the remainder when 516835929 is divided by 12?
9
Calculate the remainder when 7861283 is divided by 2058.
1781
What is the remainder when 117958869 is divided by 1182?
1179
What is the remainder when 7332881 is divided by 222208?
17
What is the remainder when 5338202 is divided by 889667?
200
What is the remainder when 16043894 is divided by 2673982?
2
Calculate the remainder when 626275 is divided by 11183.
27
What is the remainder when 1699071 is divided by 44?
11
Calculate the remainder when 4539978 is divided by 4539937.
41
Calculate the remainder when 245749032 is divided by 479.
477
What is the remainder when 8122959 is divided by 639?
630
What is the remainder when 18065399 is divided by 200?
199
Calculate the remainder when 21206169 is divided by 10603084.
1
Calculate the remainder when 1714786 is divided by 436.
434
Calculate the remainder when 280566 is divided by 4382.
118
What is the remainder when 207955 is divided by 7142?
837
Calculate the remainder when 10128677 is divided by 22.
9
What is the remainder when 58855997 is divided by 16692?
5
What is the remainder when 1063390 is divided by 5435?
3565
What is the remainder when 299826 is divided by 9288?
2610
Calculate the remainder when 620856 is divided by 2807.
509
Calculate the remainder when 64728169 is divided by 133.
128
Calculate the remainder when 18855395 is divided by 441.
440
What is the remainder when 4956985 is divided by 120902?
3
Calculate the remainder when 11594747 is divided by 187.
186
What is the remainder when 53173611 is divided by 134?
133
What is the remainder when 94543741 is divided by 26?
19
Calculate the remainder when 2339429 is divided by 1943.
57
Calculate the remainder when 2302052 is divided by 9135.
32
Calculate the remainder when 248277147 is divided by 162.
159
What is the remainder when 2929465 is divided by 37?
27
What is the remainder when 8989004 is divided by 9248?
9196
Calculate the remainder when 9678719 is divided by 23.
20
What is the remainder when 2726161774 is divided by 9?
7
Calculate the remainder when 975018 is divided by 325004.
6
What is the remainder when 148928 is divided by 148853?
75
What is the remainder when 2342746 is divided by 13387?
21
Calculate the remainder when 1699317 is divided by 490.
487
What is the remainder when
|
{
"pile_set_name": "DM Mathematics"
}
|
iggest value? (a) p (b) 5 (c) 0.5 (d) 3/5
c
Let f = 1.23 - 0.42. Let k = 0.1361 + 0.0539. Let n = k + f. Which is the biggest value? (a) n (b) 4 (c) -4
b
Let g be (-272)/(-102) + 1 + -4. Which is the fourth smallest value? (a) -0.2 (b) 0.7 (c) g (d) 1
d
Let r = -22334547834965/11601853193 + 2/163406383. Let y = r + 1925. Let l = y - 171/497. What is the third smallest value in l, 2, -5?
2
Let c = 33 + -32.9. Let y = 0.8 - -2.7. Let o = y - 3. What is the second smallest value in o, c, 2/3?
o
Let p = -8/9 + 134/171. Let y = 10 - 9.5. What is the smallest value in -5, 1.2, y, p?
-5
Let v = -5.05 + 4. Let r = -0.05 - v. Let u = -0.2 - 0.8. Which is the third biggest value? (a) -5 (b) u (c) r
a
Let j = -34 + 17. Let l = 20 + j. Which is the biggest value? (a) l (b) 0.3 (c) 0.06
a
Let j = -4.5 - 0.5. Suppose -2*q + 5 = 3*f, 0 = 2*q - 3*f - 23. Which is the third smallest value? (a) j (b) q (c) -1/4 (d) 0.5
d
Let v be (-7)/(-28) - (-27)/36. Which is the fourth smallest value? (a) -1 (b) 2/33 (c) v (d) 0.5
c
Let r(p) = 3*p - 29. Let j be r(-44). Which is the biggest value? (a) -0.2 (b) j (c) 2/9
c
Suppose -2*p + 3 = -p, -4*j + p + 17 = 0. Let k = -59.5 - -60. Which is the smallest value? (a) k (b) j (c) 1
a
Let q be 0 - (-5 + (1 - -4)). Which is the biggest value? (a) -3/4 (b) -36 (c) q
c
Let d be (-93)/(-5) + (5 - 3). Let y(p) = -4*p - 8. Let w be y(-7). Let s = d - w. What is the smallest value in 0.2, s, 4?
0.2
Suppose -3*u = -v - 6*u - 17, 2*u + 6 = 2*v. Which is the second smallest value? (a) v (b) -1/2 (c) -3
a
Let x = -7013/357 - 8/357. Which is the biggest value? (a) x (b) 3 (c) 2/3
b
Let h(t) = t**2 + 23*t + 12. Let g be h(-16). Let i be ((-2)/4)/(g/(-40)). What is the third smallest value in 2, i, -2/7?
2
Let u = 46 + -44.9. What is the third smallest value in 1, -1, u?
u
Suppose -3*f = -2*r - 24 + 54, f - r = -11. Which is the second biggest value? (a) -1 (b) 1.3 (c) f
a
Let g = -19/10 - -3/2. Let z = 487 - 486.5. Which is the third biggest value? (a) -6 (b) g (c) z
a
Let y = -3.229 - -0.029. Let v = -5.2 - y. Which is the fourth biggest value? (a) -0.5 (b) 5 (c) v (d) -1/3
c
Let w(r) = -r**3 - 20*r + 3*r**2 - 14*r**2 - 13 + 3*r**2 - r**2. Let x be w(-6). Which is the fourth biggest value? (a) -2/7 (b) 0.1 (c) x (d) -0.4
c
Let k = -37.95 + 0.95. Let i = 39 + k. What is the second smallest value in -1, -4/9, i?
-4/9
Let k = 2.56 + -2.56. Let t = 6 - 4. Which is the second biggest value? (a) -4 (b) t (c) k
c
Let m = -1.3 + -0.1. Let i = 0.35 - -3.05. Let r = i + m. Which is the smallest value? (a) 0 (b) 2/3 (c) r
a
Let f be (2/(-4))/((-5)/120). Let s be (f/16)/((-54)/16). Which is the third biggest value? (a) -0.1 (b) -0.3 (c) s
b
Let y be 1*8 + (-1 - -1). Suppose -x + 8 = -5*s - 11, y = 2*x. Let i be (-3)/((-18)/12) - (-26)/(-6). Which is the second biggest value? (a) i (b) s (c) -0.5
a
Suppose o - 2 = a + 3, 5*o = 4*a + 20. Suppose -2*m - 2 = -3*d, 3*m - 4*d + 4 + o = 0. Let f be 0 + (m/3)/2. What is the biggest value in -1/6, f, 0?
0
Let k = -44.044 + 0.044. Let q = 43.9 + k. Which is the second biggest value? (a) q (b) 0.1 (c) -0.3
a
Let n be ((-3)/9)/(4/28). Let d = -29/15 - n. Which is the third biggest value? (a) d (b) -5 (c) -2
b
Let k be (0 - 56/(-210))*5. Let l = 3 - 4. Which is the fourth biggest value? (a) l (b) k (c) 2 (d) -0.4
a
Suppose 4*w + 67 = p + 4*p, 4*w = -4*p + 32. Let y = -11 + p. Let i be ((-4)/(-12))/((-5)/3). What is the third biggest value in y, i, 3?
i
Let n = -11 - -15. Let z = -3.95 + n. Let f = z + 0.05. What is the smallest value in -0.1, -4, f?
-4
Suppose -3*o + 5*o = 10. Let c be 3/(-2 + o) - -3. Let k = -9 + 9.3. What is the second smallest value in c, k, -5?
k
Let q = -11.6 - -9. Let h = q - -3. Let m be 4/14*(-924)/264. Which is the second smallest value? (a) 3 (b) m (c) h
c
Let g = -884 - -879. Let v = 115/6 - 19. What is the smallest value in 1, v, g?
g
Let s = -0.6 - -0.52. Let d = -0.02 + s. Let o = d + -0.1. Which is the second smallest value? (a) -0.3 (b) 1/4 (c) o
c
Let w be (4 + -3)/((-2)/(-4)). Let h be w/((-66)/(-59)) + -2. Let l = h + 1/22. Which is the second smallest value? (a) l (b) -0.5 (c) -5/2
b
Let n = 1263/5 + -253. What is the fourth biggest value in 2, 0.031, -0.5, n?
-0.5
Let o = 119.95 +
|
{
"pile_set_name": "DM Mathematics"
}
|
3/3 + 31*v**2. What is i(-3)?
-2
Let m(d) = -2*d + 3 + 5 - 11 - d**2 + d**3 - 1. What is m(-3)?
-34
Let o(b) be the second derivative of b**4/12 - b**3/6 + 2*b. Let m(i) = -i**2 + i + 2. Let w be m(0). What is o(w)?
2
Let n(x) = -3*x**2 + 2*x + 3. Let f be 4 + -8 + 3/((-6)/(-4)). What is n(f)?
-13
Let l(p) = -p - 2. Let r(c) = -2*c**2 - 5*c - 2. Suppose 3*d = 2*g - 38, -5*d + 0*d = 2*g + 42. Let b be (-1)/(-5) + 32/d. Let y be r(b). What is l(y)?
3
Let x(t) be the first derivative of t**4/4 - 14*t**3/3 + 13*t**2/2 + 6*t - 40. What is x(13)?
6
Let x(o) = -3*o**2 - 6*o - 4. Let i(t) = -6*t**2 - 11*t - 7. Let n(u) = -3*i(u) + 5*x(u). Suppose -5*s = 3*v - 14, -3*v - 2*s + 1 + 1 = 0. Calculate n(v).
7
Let v(a) = -a**2 - 6*a + 6. Let s be v(-6). Suppose -10 = -4*f + s. Let o(g) be the first derivative of -g**4/4 + 4*g**3/3 - 3*g**2/2 + 6*g + 3. Give o(f).
-6
Let b(k) = -4*k**2 - 6*k. Let n(w) = 17*w**2 + 25*w. Let f(t) = -26*b(t) - 6*n(t). Give f(-4).
8
Let k be (-32)/6*3/(-2). Let h(g) = g - 10. Let a be h(k). Let n = 1 - a. Let o(m) = -m + 1. Calculate o(n).
-2
Let w(f) = 0 - 4*f**2 - f**2 - f - 1. Suppose 10 = -2*c - 8. Let b = c - -8. Calculate w(b).
-5
Let m(a) = -7*a**3 - a**2 + 4*a + 3. Let n be m(-1). Let r(h) = h**2 - 7*h + 6. Give r(n).
-4
Let u(g) = g**2 + 0*g**2 + 3*g - 2*g - 2*g**2. Let o(m) = m**2 - 1. Let r(f) = -4*o(f) - 5*u(f). Determine r(3).
-2
Let b(u) be the third derivative of -u**4/6 + u**3/2 - u**2. Suppose 3*k + 6 = 3*a, -2*k - 8*a + 7*a + 8 = 0. Give b(k).
-5
Let t(q) = -q**3 + 3*q**2 + 6*q - 2. Let f(v) = v**3 + 4. Let o be f(0). Calculate t(o).
6
Let o(h) = -1 - 7*h**3 - h**3 + 3*h**3. Suppose 0*k = -5*k + 5. What is o(k)?
-6
Let k(q) be the third derivative of q**6/120 + 13*q**5/60 + 7*q**3/6 + 5*q**2 - 7*q. Calculate k(-13).
7
Suppose -10 = 3*x - 8*x. Let l(n) be the first derivative of 1/2*n**2 + x - 9*n. What is l(5)?
-4
Let w(z) be the first derivative of -z**2/2 - z - 1. Give w(0).
-1
Let h = -6 + 11. Suppose 0 = -2*i + z + z - 4, -h*z = 5*i + 30. Let l(g) = -g**2 - 3*g - 4. Determine l(i).
-8
Let f be -4 + 0 + (3 - 3). Let j(z) = z**2 + 1 + 9*z - 3*z + 5. Determine j(f).
-2
Let w(x) = -3*x**2 - 5*x - 5. Let n(i) = 8*i**2 + 14*i + 14. Let t(q) = -4*n(q) - 11*w(q). Let a be 176/64 - (-1)/4. Determine t(a).
5
Let l(b) = -2*b**3 + 5*b**2 - 4*b + 7. Let k(f) = f**3 - 2*f**2 + 2*f - 4. Let z(m) = -5*k(m) - 3*l(m). Suppose 18 = 3*q + 6. Determine z(q).
-9
Let b(p) = -p**2 + 3*p. Let v(u) = u**3 - 18*u**2 + 17*u + 4. Let y be v(17). What is b(y)?
-4
Suppose -2*o - 14 = -0*o. Let t(r) = r**3 + 6*r**2 - 8*r - 9. What is t(o)?
-2
Suppose -q + 4*q - 6 = 0. Let n(z) = -z**3 + q*z + 0*z**3 + 0*z**2 + z**2. Suppose 5*l = -2*a + 9, -2*a - 2*a + 2*l = -6. Calculate n(a).
0
Let x = -1 - -7. Let c(f) = 3*f + 4*f - 1 - x*f. Determine c(2).
1
Suppose -5*s + 4*k = -1 - 15, -5*k - 20 = 3*s. Let t(z) = -z + 1 + 0 + 3*z + s*z. Calculate t(4).
9
Let g(k) be the third derivative of 5*k**4/24 + k**3/2 - 5*k**2. Determine g(-3).
-12
Let x(j) = -2*j + 7. Let b(o) = o - 4. Let r(d) = -11*b(d) - 6*x(d). Give r(0).
2
Suppose 0 = -v + 2*x - 16, 0 = -0*v + v + 3*x + 21. Let o = 23 + v. Let a(s) = -s**3 + 5*s**2 + 3*s - 4. What is a(o)?
11
Let a be 2*3/(-2)*(-8)/(-12). Let t(i) be the third derivative of 0*i - i**2 - 1/8*i**4 + 1/6*i**3 + 0. Determine t(a).
7
Let h(q) = q**3 - 4*q**2 - 7*q + 4. Suppose 0 = 4*o, 0*o + 4 = -2*z - o. Let v be z/1 + 4 + 3. Determine h(v).
-6
Let f(j) be the third derivative of 0 + 0*j - 3*j**2 - 1/60*j**5 + 4/3*j**3 - 1/4*j**4. Calculate f(-6).
8
Let s(r) = -2*r + 10*r**2 - 3*r + 6 + 13*r**2 - 24*r**2. Give s(-6).
0
Let n(k) be the second derivative of 0 - 1/6*k**3 + 0*k**2 - 3*k. Determine n(-2).
2
Let n(x) = -x**3 + 6*x**2 - 4*x + 1. Suppose -4*v = -5*b + 5, 3*b = 7*b + 3*v - 35. Give n(b).
6
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
2*q - 1)
Factor 0*t**2 + 3/4 + 3/2*t**3 - 3/2*t - 3/4*t**4.
-3*(t - 1)**3*(t + 1)/4
Let n(u) = -u**2 + 12*u + 1. Let i be n(11). Let 0*a + 9*a**3 + i*a**4 - 2*a**3 - 15*a**2 + 3 - 9*a + 2*a**3 = 0. Calculate a.
-1, 1/4, 1
Let c(f) be the third derivative of f**6/300 + f**5/50 + f**4/20 + f**3/15 + f**2. Determine b so that c(b) = 0.
-1
Let i(n) be the third derivative of n**7/735 - n**5/210 + 30*n**2. Factor i(h).
2*h**2*(h - 1)*(h + 1)/7
Factor -4*q**2 + 0*q**3 + 0*q**2 + 3*q**2 - q**3.
-q**2*(q + 1)
Determine n so that -5*n**5 - n**4 - 3*n**4 + 5*n - 6*n**4 + 4*n**2 + 6*n**2 = 0.
-1, 0, 1
Factor 2/5*q**2 + 0 + 0*q + 2/5*q**3.
2*q**2*(q + 1)/5
Let v(r) be the second derivative of 0*r**2 + 0 + 4*r - 1/60*r**5 - 1/18*r**3 - 1/18*r**4. Suppose v(l) = 0. What is l?
-1, 0
Suppose 20 = 5*i - c, c - 2*c = i - 4. Suppose -5*l - i = 1, 3*z - 7 = l. Factor -2 + u**2 - u + z.
u*(u - 1)
Let c(u) be the first derivative of u**4/34 - 2*u**3/17 - u**2/17 + 6*u/17 - 15. Let c(j) = 0. Calculate j.
-1, 1, 3
Let s(f) be the second derivative of f**5/60 - f**4/18 - 7*f. Factor s(l).
l**2*(l - 2)/3
Let o(n) be the first derivative of -n + 1/4*n**2 + 1/6*n**3 + 1. Factor o(q).
(q - 1)*(q + 2)/2
Let z(a) be the first derivative of -3*a**4/20 - 4*a**3/5 + 7. What is h in z(h) = 0?
-4, 0
Let v(x) be the first derivative of x**6/1440 - x**5/240 + 4*x**3/3 + 1. Let n(j) be the third derivative of v(j). Factor n(c).
c*(c - 2)/4
Let q(n) be the third derivative of n**7/231 + n**6/110 - 3*n**5/110 - n**4/66 - 16*n**2. Find t, given that q(t) = 0.
-2, -1/5, 0, 1
Suppose 15/4 - 3*s - 3/4*s**2 = 0. What is s?
-5, 1
Let n(w) = -19*w**5 - 31*w**4 - 25*w**3 + 25*w**2 + 18*w - 7. Let f(h) = 3*h**5 + 5*h**4 + 4*h**3 - 4*h**2 - 3*h + 1. Let u(x) = -39*f(x) - 6*n(x). Factor u(c).
-3*(c - 1)*(c + 1)**4
Let j(d) be the first derivative of 2*d**5/55 - 2*d**3/33 + 3. Find b, given that j(b) = 0.
-1, 0, 1
Let u(l) be the first derivative of l**2 + 2 + 4/3*l**3 - 1/3*l**6 + 0*l - 4/5*l**5 + 0*l**4. What is y in u(y) = 0?
-1, 0, 1
Suppose w + 5*j = 8, 4*w + 5 - 16 = j. Determine i, given that -2*i + w*i**2 - i**2 + i + 3*i = 0.
-1, 0
Let b(y) be the second derivative of -y**2 - 8*y - 7/36*y**4 + 23/18*y**3 + 0. Suppose b(r) = 0. Calculate r.
2/7, 3
Determine m so that -3/2*m**3 + 3/2*m**4 + 3/4*m + 3/4*m**5 - 3*m**2 + 3/2 = 0.
-2, -1, 1
Solve 2/5 - 2/5*l**2 + 8/5*l**3 - 8/5*l = 0.
-1, 1/4, 1
Let z(b) = -b**2 - b - 1. Let n(c) = c**3 - 4*c**2 - 4*c - 2. Let h(u) = 2*n(u) - 6*z(u). Factor h(f).
2*(f - 1)**2*(f + 1)
Suppose 3*i - 4*d + 2*d = 17, -d = -2*i + 10. Factor -1/5*p**2 + 1/5 - 1/5*p + 1/5*p**i.
(p - 1)**2*(p + 1)/5
Suppose 0*y - y = -3. Suppose 2*c = y*p - 7, -c = -3*p + 4*c + 4. Factor 1 - 3/4*q**2 - 5*q + 49/4*q**4 + 35/2*q**p.
(q + 1)**2*(7*q - 2)**2/4
Let f(n) = n**3 - 8*n**2 + 4. Let s be f(8). Let c(q) = -3*q**3 + 5*q**2 - q - 1. Let l(r) = -2*r**3 + 4*r**2 - 2*r. Let h(w) = s*c(w) - 5*l(w). Factor h(m).
-2*(m - 1)**2*(m + 2)
Let q(c) = 15*c + 10. Let y be q(8). Let l = -906/7 + y. Determine w so that -2/7*w**2 + 0 - l*w = 0.
-2, 0
Factor 0 - 3*n - 9/2*n**2 - 3/2*n**3.
-3*n*(n + 1)*(n + 2)/2
Let g = 9 - 1. Let b(w) be the third derivative of 0*w**4 + 0*w**7 + 0*w**3 - 2*w**2 + 0 - 1/60*w**6 + 0*w**5 + 0*w + 1/168*w**g. Factor b(c).
2*c**3*(c - 1)*(c + 1)
Suppose 7*i = -2*v + 2*i - 35, 2*v = 4*i + 10. Let x(s) = s**3 + 6*s**2 + 5*s. Let u be x(v). Factor 0*g**2 - 4/3*g**5 + 10/3*g**4 + u + 0*g - 4/3*g**3.
-2*g**3*(g - 2)*(2*g - 1)/3
Suppose -2*s + 6 = -0*s. Let h(y) be the second derivative of 0 + 2*y - 1/12*y**4 + 0*y**2 + 1/6*y**s. Factor h(d).
-d*(d - 1)
Let n = -465 + 465. Find q, given that -4/3*q - 2/3*q**3 + 2*q**2 + n = 0.
0, 1, 2
Let u be 2/4 - (-9)/(-42). Let x = -1209/7 - -173. Find a, given that x*a**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
e remainder when r is divided by 14.
13
Let f = -14 + 40. Calculate the remainder when f is divided by 7.
5
Suppose 48*n = 52*n - 156. Calculate the remainder when n is divided by 20.
19
Let t be (-245)/(-10) - 3/2. Calculate the remainder when 30 is divided by t + -6 - (1 + 0).
14
Suppose -5*k - 2*d = -23, -4*k - k - 5*d + 35 = 0. Suppose v - 12 = -k*v. Calculate the remainder when (-9)/v*56/(-6) is divided by 10.
8
Let p(o) = o**3 + o + 12. What is the remainder when p(0) is divided by 5?
2
Let u(d) = -12*d**3 - 1 - d**2 - 2*d + 3*d - 25*d**3 - 3*d. Calculate the remainder when u(-1) is divided by 13.
11
Let o = -5 - -5. Suppose o*b = b - 3. What is the remainder when 5 is divided by b?
2
Let p(r) = -15*r. Let c be p(2). Let w = c - -52. Calculate the remainder when 65 is divided by w.
21
Let d be ((-3)/4)/((-1)/(-4)). Let l(a) = -3*a - 4. Calculate the remainder when 9 is divided by l(d).
4
Let v(p) = -p**2 - 4*p - 3. Let i be v(-2). Let x be (2/(-3))/(i/(-3)). Suppose -f - x*f + 99 = 0. What is the remainder when f is divided by 9?
6
Suppose 15 = -2*v - k, -3*v + k - 4*k = 30. Let s be (-6)/9 + v/(-3). What is the remainder when 21 is divided by s/(-1*(-3)/33)?
10
Let f(r) = -9*r + 9. Let h(v) = -14*v + 14. Let i(a) = 8*f(a) - 5*h(a). Calculate the remainder when i(-14) is divided by 16.
14
Suppose 5*m - 134 = -4*i, -m + 56 = m + 4*i. Calculate the remainder when m is divided by 14.
12
Let p be -76*(0 + (-11)/4). Suppose -3*k + 15 = 4*c - 117, 5*k = -3*c + p. Calculate the remainder when k is divided by 14.
12
Let v(b) = b**2 + b - 2. Let y be v(-4). Suppose 5*l - 5*t - 40 + y = 0, l - 4*t = -9. What is the remainder when 43 is divided by l?
10
Let v(k) = 2*k**2. Let b = 4 - 6. Suppose -2*r + 4*r = 62. What is the remainder when r is divided by v(b)?
7
Suppose 5*i = 3*n - 13, 0*i = -i - 5. Let m(y) = -3*y - 5. Suppose 2*h - c = 36, 0 = -5*h - 0*c + 4*c + 84. Calculate the remainder when h is divided by m(n).
6
Suppose 0 = -5*d + 16 - 6. Let n(g) = -3*g**2 + 2. Let s be n(d). Let h = -6 - s. Calculate the remainder when 11 is divided by h.
3
Let i(j) = -j**3 - 7*j**2 + 8*j + 6. What is the remainder when -3 + 2 + 90/5 is divided by i(-8)?
5
Suppose 0 = 4*m + 29 - 261. What is the remainder when m is divided by 31?
27
Suppose 2*n - 9 + 1 = 0. Suppose n*g + 4 = 0, -g - 2 = -4*r + 7. Suppose s + r*s = 24. Calculate the remainder when 14 is divided by s.
6
Let v be (13 - 7)/(3/58). Let g = -39 + v. What is the remainder when g is divided by 20?
17
Suppose 3*c - 25 = 4*i + 174, -2*i - 262 = -4*c. What is the remainder when c is divided by 17?
14
Let l = -21 + 32. Calculate the remainder when l is divided by 6.
5
Let j(k) = -k**3 - 2*k**2 + 4*k - 6. Suppose -5*b - 90 = -2*n - n, 3*b - 41 = -2*n. Calculate the remainder when j(-5) is divided by n.
24
Let d be 3/(-9) + 2/6. Let p(f) = f + 4. Let c be p(d). Suppose 0 = -c*s + 5*t + 40, 3*t + 59 = 5*s - t. What is the remainder when s is divided by 8?
7
Let j = -5 + 63. Calculate the remainder when j is divided by 34/2 - (-4 + 1).
18
Suppose 5*y = y, -y = -b - 27. Calculate the remainder when 23 is divided by -11 - b - 3*1.
10
Suppose 11 + 17 = 2*b. Calculate the remainder when 51 is divided by b.
9
Let x(k) = -k**2 - 9*k - 5. Let i be x(-8). Calculate the remainder when 43 is divided by (2 - -13)/(i - 2).
13
Suppose -2*m = 2*m. Suppose m*s - 3*s = -54. Calculate the remainder when s is divided by 7.
4
Suppose 0*u = 3*u - 12. Calculate the remainder when 11 is divided by u.
3
Suppose -2*n + 11 = -21. Calculate the remainder when 30 is divided by n.
14
Let f = 45 - 38. What is the remainder when f is divided by 3?
1
Suppose 20 = 3*f - 3*x - 22, 3*f = -2*x + 17. Calculate the remainder when 3 + 14/(-4) - (-138)/4 is divided by f.
7
Let m(a) = 2*a**2 - 6*a - 35. Calculate the remainder when m(9) is divided by 20.
13
Let m = -31 + 19. Calculate the remainder when ((-177)/m)/(2/8) is divided by 12.
11
Let k = -171 - -287. Suppose -3*v + 4*c = -6*v + k, -4*c = -5*v + 140. What is the remainder when v is divided by (-20)/(-2) - (-11 + 10)?
10
Suppose 0 = -4*u + n - 87, u + 5*n + 90 = -4*u. What is the remainder when 6 is divided by (-2)/7 + (-48)/u?
0
Let r = -14 + 23. Suppose 4*n - 32 = 2*n. Calculate the remainder when n is divided by r.
7
Let y(n) = -19*n - 3. What is the remainder when y(-3) is divided by 14?
12
Suppose -23*f = -24*f + 45. Suppose -6 = -r + 2*h, 0 = h - 3 - 2. Calculate the remainder when f is divided by r.
13
Let y be -1 + 3 - 0 - -63. Let o = -43 + y. Calculate the remainder when o is divided by 6.
4
Let v(t) = 2*t**2 + 4*t - 3. Let y be 23/5 - (-4)/10. Suppose -3*d - y*i = -116, 4*d + i - 217 + 68 = 0. What is the remainder when d is divided by v(2)?
11
Let v = 10 + 55. Let f(n) = 5*n + 2. Calculate the remainder when v is divided by f(3).
14
Let t = 23 + -13. Suppose -12*j + t*j = -26. Calculate the remainder when j is divided by 5.
3
What is the remainder when (2/(-10) - -1)/((-108)/(-5130)) is divided by 16?
6
Let w(m) = m**3 - m + 4. Let j be w(0). Suppose -2*v + v - j*g + 40 = 0, 4*g - 80 = -3*v. What is the remainder when 39 is divided by v?
19
Let x(b) = 2*b. Suppose 16 = 4*q + 2*j - j, -24 = -4*
|
{
"pile_set_name": "DM Mathematics"
}
|
- -5.
-1026428074
What is 0.5 take away 0.11146187?
0.38853813
Calculate 1874815614 - 2.
1874815612
What is the difference between 257435754 and 0.5?
257435753.5
Calculate -2012 - 3541.
-5553
What is 90017627 + 0.4?
90017627.4
Put together 32593683 and 0.919.
32593683.919
Add together 692291.36 and -0.1.
692291.26
Add together 0.1 and 10096385005.
10096385005.1
Work out 0.4 - 1470648362.
-1470648361.6
Calculate -272285.9 - 0.3.
-272286.2
Calculate 6496 - 0.1618261.
6495.8381739
0.4 - 2348.558
-2348.158
What is -493967 less than -0.0263?
493966.9737
-60088285 + 104
-60088181
What is 248301.9299 less than -6?
-248307.9299
17935859654+0
17935859654
Calculate -242281775.94 - 0.5.
-242281776.44
Add 283348 and 8.
283356
Put together 1118.7356 and 0.11.
1118.8456
Total of -1398 and 33.61898.
-1364.38102
What is -1710045 plus 116?
-1709929
Total of -13949.3 and -1342733.
-1356682.3
What is 91228 minus -79?
91307
-1187053128+0.16
-1187053127.84
Add 29 and -30469.4829.
-30440.4829
Work out 0.2094492019 - -3.
3.2094492019
Sum 699823 and 0.71.
699823.71
What is -0.099 minus -79310?
79309.901
-0.3 - -1259.85582
1259.55582
Subtract -218.91349 from -0.001.
218.91249
Put together -11.02 and -425365.
-425376.02
Add -4569.493 and 1098.
-3471.493
0.253724897 + -0.161
0.092724897
What is 13503 take away 63927?
-50424
Sum -3152826 and 5.
-3152821
-2.43359468 - 0.2
-2.63359468
What is the distance between -11218 and 0.04153?
11218.04153
What is -0.537 minus 1532832?
-1532832.537
0.3266+0.0723628
0.3989628
What is 3186422 plus 6.48?
3186428.48
Subtract 0.8 from -14645503117.
-14645503117.8
What is 58.75 minus 1003?
-944.25
Calculate 1 + -627.124.
-626.124
Work out 147 + -117172.
-117025
What is -14 minus 888028552?
-888028566
Work out -0.8 - -8585.31.
8584.51
What is -0.231 minus -133934?
133933.769
Subtract -28371 from 936.8.
29307.8
Calculate -0.38836 - -0.02668.
-0.36168
0.023427+-192
-191.976573
Add together 3332502 and 35.
3332537
Put together -0.0052 and -73230534.
-73230534.0052
-6847+-0.79
-6847.79
What is 361 plus -3636.9?
-3275.9
40948908 + -5
40948903
Subtract 63344.2491 from 1.
-63343.2491
Add 3241.2 and -5.1652.
3236.0348
10253 + -992
9261
Total of 2.03 and 17429.483.
17431.513
Calculate 5 - 18343457.
-18343452
Calculate -0.9 - 0.099559712.
-0.999559712
Subtract -21321802272 from 4.
21321802276
Calculate -22132504537 - -5.
-22132504532
What is the distance between 2.03272 and 0.091?
1.94172
Sum -57.7839 and -34.
-91.7839
What is 281846 minus -3.5461?
281849.5461
What is -84 minus -0.094771?
-83.905229
Work out -1649.9949 + -89.2.
-1739.1949
Total of 0.2 and 392523659.
392523659.2
What is -2612781.485 - -6?
-2612775.485
Work out 1.42 - -0.085162147.
1.505162147
What is 2573669887 less than 1.5?
-2573669885.5
What is 343331 minus -0.8681?
343331.8681
Add together 533220 and 13574.
546794
0.005209 - -2.695
2.700209
-85.25714 - -5
-80.25714
Add together -53633 and 3.5354.
-53629.4646
Put together 17758 and -18277.
-519
Total of -1400573.28 and 5.
-1400568.28
Total of 460 and 0.07261399.
460.07261399
Total of 15118.879 and -2.8.
15116.079
What is -0.273648 + 243?
242.726352
0.1 - -7393662
7393662.1
Add 24527 and 455690.
480217
What is 0.0229 minus 4008265?
-4008264.9771
What is -32.6423 less than -39?
-6.3577
Put together -4 and -7706173676.
-7706173680
29.52 - -1.91
31.43
Total of -19.805 and -662.4.
-682.205
What is -1504 plus -5973.6?
-7477.6
Subtract -0.0791 from -72034004.
-72034003.9209
Work out -179890 - -1515.
-178375
What is 0 take away -3022.0103?
3022.0103
What is -20040.5 minus 26.55?
-20067.05
What is -1235 minus -264.087?
-970.913
12183818 - 21
12183797
What is 0.455 plus 0.8640619?
1.3190619
-4+6034945335
6034945331
Work out -313057734 - -0.18.
-313057733.82
Calculate 1 + -488462719.
-488462718
Calculate -308771 - 14.
-308785
What is -4 + 42747206?
42747202
Add together -12 and 2.35486.
-9.64514
What is 19507 less than -4780?
-24287
What is 521343 minus -16.5?
521359.5
-47768 - -1513
-46255
Subtract 8066 from -0.03255.
-8066.03255
-52+-351070.047
-351122.047
What is -0.56863 minus 1203?
-1203.56863
-15336990 - -0.14
-15336989.86
Subtract -2659937.7 from -2.
2659935.7
What is 0.1 - -16.18563937?
16.28563937
Calculate -0.5 - -261991.6.
261991.1
What is -0.8519433 minus 0.1?
-0.9519433
1.7 + 9.884828
11.584828
Subtract -8630976330 from -0.4.
8630976329.6
What is 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
41
What is the t'th term of 59, 221, 499, 893, 1403, 2029?
58*t**2 - 12*t + 13
What is the i'th term of -1759, -3519, -5277, -7033, -8787, -10539?
i**2 - 1763*i + 3
What is the d'th term of -784, -3132, -7050, -12538, -19596, -28224, -38422?
-785*d**2 + 7*d - 6
What is the f'th term of 4025, 8044, 12063, 16082, 20101?
4019*f + 6
What is the k'th term of 122, 191, 314, 497, 746?
k**3 + 21*k**2 - k + 101
What is the a'th term of 91, 231, 397, 589, 807, 1051, 1321?
13*a**2 + 101*a - 23
What is the n'th term of 268, 545, 822?
277*n - 9
What is the q'th term of 857, 978, 1113, 1268, 1449?
q**3 + q**2 + 111*q + 744
What is the l'th term of -120952, -120953, -120954, -120955?
-l - 120951
What is the j'th term of -459, -511, -591, -693, -811?
j**3 - 20*j**2 + j - 441
What is the m'th term of 4163, 4173, 4183, 4193, 4203?
10*m + 4153
What is the v'th term of 1454, 3046, 4638, 6230, 7822, 9414?
1592*v - 138
What is the t'th term of 550, 948, 1326, 1678, 1998?
-t**3 - 4*t**2 + 417*t + 138
What is the t'th term of 47014, 47027, 47050, 47083?
5*t**2 - 2*t + 47011
What is the z'th term of -2628, -5259, -7888, -10515?
z**2 - 2634*z + 5
What is the m'th term of 370, 1270, 2164, 3046, 3910, 4750, 5560, 6334?
-m**3 + 3*m**2 + 898*m - 530
What is the p'th term of 3185, 6317, 9439, 12551, 15653, 18745, 21827?
-5*p**2 + 3147*p + 43
What is the t'th term of 755, 2455, 5279, 9221, 14275, 20435, 27695?
-t**3 + 568*t**2 + 3*t + 185
What is the v'th term of 139, 354, 561, 760, 951?
-4*v**2 + 227*v - 84
What is the p'th term of -532, -567, -630, -727, -864, -1047, -1282, -1575?
-p**3 - 8*p**2 - 4*p - 519
What is the n'th term of 1350, 5312, 11928, 21198, 33122?
1327*n**2 - 19*n + 42
What is the h'th term of -25, -260, -657, -1216, -1937, -2820, -3865?
-81*h**2 + 8*h + 48
What is the v'th term of 5, -138, -563, -1276, -2283, -3590, -5203?
-v**3 - 135*v**2 + 269*v - 128
What is the q'th term of 26462, 26504, 26546, 26588?
42*q + 26420
What is the a'th term of 1168, 2350, 3534, 4720, 5908, 7098?
a**2 + 1179*a - 12
What is the u'th term of 33230, 66460, 99690?
33230*u
What is the u'th term of 11282, 11274, 11266?
-8*u + 11290
What is the x'th term of 6398, 12804, 19210, 25616?
6406*x - 8
What is the i'th term of 5638, 5659, 5680, 5701?
21*i + 5617
What is the z'th term of 22, 13, -2, -23?
-3*z**2 + 25
What is the n'th term of -4541, -4480, -4421, -4364, -4309, -4256, -4205?
-n**2 + 64*n - 4604
What is the z'th term of 1050, 4345, 9844, 17559, 27502?
2*z**3 + 1090*z**2 + 11*z - 53
What is the y'th term of 2432, 2531, 2668, 2843, 3056?
19*y**2 + 42*y + 2371
What is the z'th term of 3667, 3843, 4033, 4243, 4479?
z**3 + z**2 + 166*z + 3499
What is the u'th term of 8985, 17941, 26885, 35817, 44737?
-6*u**2 + 8974*u + 17
What is the w'th term of -6426, -6415, -6404?
11*w - 6437
What is the v'th term of 71, 103, 137, 173, 211, 251?
v**2 + 29*v + 41
What is the r'th term of 57372, 57371, 57370, 57369, 57368?
-r + 57373
What is the x'th term of -9150, -36601, -82350, -146397, -228742, -329385, -448326?
-9149*x**2 - 4*x + 3
What is the v'th term of 60954, 121908, 182862, 243816?
60954*v
What is the a'th term of -15936, -31870, -47802, -63732, -79660, -95586, -111510?
a**2 - 15937*a
What is the v'th term of 394, 342, 248, 106, -90?
-v**3 - 15*v**2 + 410
What is the g'th term of -10546, -42213, -94990, -168871, -263850, -379921, -517078, -675315?
g**3 - 10561*g**2 + 9*g + 5
What is the l'th term of 485888, 485885, 485892, 485915, 485960, 486033, 486140?
l**3 - l**2 - 7*l + 485895
What is the i'th term of 4732, 9453, 14172, 18889, 23604?
-i**2 + 4724*i + 9
What is the d'th term of 407474, 814949, 1222424?
407475*d - 1
What is the j'th term of 2110, 4232, 6344, 8440, 10514, 12560?
-j**3 + j**2 + 2126*j - 16
What is the p'th term of -4007, -7990, -11969, -15944, -19915, -23882, -27845?
2*p**2 - 3989*p - 20
What is the m'th term of 67243, 67253, 67263, 67273, 67283, 67293?
10*m + 67233
What is the q'th term of 13042, 13052, 13068, 13090, 13118?
3*q**2 + q + 13038
What is the b'th term of 38937, 38941, 38947, 38955, 38965?
b**2 + b + 38935
What is the a'th term of -100, -230, -442, -730, -1088?
a**3 - 47*a**2 + 4*a - 58
What is the p'th term of -83, -159, -243, -335, -435, -543, -659?
-4*p**2 - 64*p - 15
What is the s'th term of 12402, 24528, 36386, 47982, 59322?
s**3 - 140*s**2 + 12539*
|
{
"pile_set_name": "DM Mathematics"
}
|
2*i**2 + 3 - 3) + (i - 4 + 4)*(-5*i**2 + 2*i**2 - i**2))*(-3 + 3 + 2*i).
-28*i**4
Expand (-4 + 3 - 5)*(-2*c - 2 + 2 + (-4 + 0 + 3)*(3*c + c - 5*c))*(1 - 2 + 3)*(2*c - 4*c + 8*c).
72*c**2
Expand -5*h + 5*h - h**3 + (0*h**3 - 5*h**3 + 0*h**3)*(1 - 5 + 3) - h**3 + 0*h**3 + 2*h**3.
5*h**3
Expand -3*w**3 - 5*w**3 + w**3 + (0*w - 4*w + 3*w)*(6*w**2 - 5*w**2 - 3*w**2) + 5*w**3 + w**3 - 2*w**3 + 1 + 0*w**3 + 0*w**3 + 4*w**3.
3*w**3 + 1
Expand (3*l + 3*l - 5*l)*(l**2 + l**2 - l**2 + 3 - 3 + 2*l**2 + (2 + 2*l - 2)*(-2*l - 3*l + 2*l)) + (-4*l + 4*l + l**2)*(10 - 10 - 2*l).
-5*l**3
Expand (8*c - 8*c - c**3 - 5*c**4 + 3*c)*(23*c - 11*c - 22*c).
50*c**5 + 10*c**4 - 30*c**2
Expand (0*q + 6*q + 0*q)*(4 - 6 + 0) + (4 - 2 - 3)*(-3 + 6 - 2)*(-1 + 2*q + 2*q + q).
-17*q + 1
Expand (0 - 6 + 3)*(-3*j**3 + 2*j**3 + 3*j**3)*(31 - 19 + 35).
-282*j**3
Expand (-b**2 + b**3 + b**2)*(39*b**2 - 22*b**2 + 25*b**2).
42*b**5
Expand (-2 + 2 - 2)*(-128*w + 64*w - 40 + 66*w).
-4*w + 80
Expand (22 - 13 - 8)*(m + 0*m - 2*m)*(0 + 0 + 1)*(-5*m + 3*m + 0 - 2).
2*m**2 + 2*m
Expand (-37 + 14 + 44)*(3*k + 3*k**3 - 3*k + k**4).
21*k**4 + 63*k**3
Expand 2*q**5 + 0*q**5 + q**5 + (-109 + 109 - 16*q)*(q**4 - q**4 - q**4).
19*q**5
Expand -2*p**5 + 3*p**5 - 2*p**5 + (2 - 2 + 2*p)*(-p**3 - p**4 + p**3) + p**4 - p**4 - 2*p**5 + 5970 - 5970 + 41*p**5.
36*p**5
Expand 6*r**4 + 6*r**4 + 6*r**4 + (3*r**2 - 2*r**2 - 2*r**2)*(-2*r - r**2 + 2*r) + (0*r - 4*r + 3*r)*(r**3 - 5*r**3 + 3*r**3).
20*r**4
Expand (13*d**3 - 2*d + 24 - 24)*(0*d**2 - d**2 + 8*d**2).
91*d**5 - 14*d**3
Expand (-8*a - 15*a - 4*a)*(0*a**3 + 0*a**3 - 2*a**3)*(-3*a + 0*a + 4*a + (-1 + 1 + a)*(2 - 4 + 4)).
162*a**5
Expand (1 - 5 + 1 + 0 + 0 - 1 - 3 + 0 + 1 + (3 - 1 - 3)*(-1 + 0 + 0))*(-3*a - 60*a**2 + 72*a**2 + a).
-60*a**2 + 10*a
Expand (4 - 4 + 2*l**2)*(3*l**3 - 3*l**3 - 2*l**3) + (-11*l**4 + l**4 + 3*l**4)*(2 + 4*l - 2) + (-2*l**3 + 0*l + 0*l)*(-2*l**2 + 1 - 1) - l**5 + 2*l**5 + l**5.
-26*l**5
Expand 3*m**4 - 4*m**4 + 4*m**4 + (0 + m + 0)*(3*m**3 - 4*m**3 + 0*m**3) + 2*m**3 + 2*m**4 - 2*m**3 - m + m + 3*m**4 + 8*m**4 + 10*m**4 + 0*m**4.
25*m**4
Expand (-122*o + 1799 - 1799)*(0 - 1 + 2)*(2 - 2 + 1).
-122*o
Expand (-1 + 1 + 9)*(-j - 1 + 1 + 0*j + 2*j - 3*j - j - 2*j + 2*j + (j + 3 - 3)*(-3 + 4 - 2) - 3*j - 3*j + 4*j)*(3 + 6*j - 4*j + 0*j) - 5*j**2 + 3*j**2 + j**2.
-109*j**2 - 162*j
Expand (-3*v + 3*v + 3*v)*(-42 + 58 + 59).
225*v
Expand 2*p + p - 5*p + (6 + 5*p - 6)*(0 - 1 - 2) - 2*p - 3*p + 3*p - 2*p - 2*p + 6*p.
-17*p
Expand (-3 + 3 - 3)*(16*i + 10*i + i).
-81*i
Expand (0*d**3 + 0*d**3 - d**3)*(0*d - d + 2*d) + 16*d**4 + 63*d**4 - 9*d**4.
69*d**4
Expand (-2*k + 3*k + k)*(0*k - 2*k + 0*k) + 905*k**2 + 20*k + 1598*k**2 - 21*k.
2499*k**2 - k
Expand (-835 - 35*t + 835)*(1 + 2 - 2) + 2*t + t - 2*t.
-34*t
Expand (-2*v**2 + 2*v**2 - v**2)*(-23*v - 2*v - 38*v) - 3*v**2 + 3*v**2 + v**3.
64*v**3
Expand (-l**2 - 3*l + l - 4*l**2)*(2*l**2 - 2*l**2 - l**2)*(-1 + 17 - 2).
70*l**4 + 28*l**3
Expand -6*l**4 + 6*l**4 - 35*l**5 + (2 + 2*l**5 - 2)*(-1 + 0 + 0).
-37*l**5
Expand (-1239*h**4 + 2*h + 625*h**4 + 622*h**4 - 6*h**2)*(1 + 2*h - 1).
16*h**5 - 12*h**3 + 4*h**2
Expand (46 - 46 - 17*t)*(-2*t**2 + 0*t**2 + t**2)*(-31 - 30 + 20 - 18).
-1003*t**3
Expand (3 - 3 + w + (0*w + w + w)*(0 - 3 + 5))*((6*w**3 - 4*w**3 + 0*w**3)*(4 - 7 - 1) - 2*w**3 + 3*w**3 + 0*w**3).
-35*w**4
Expand -y**3 + 2*y**3 - 5*y**3 + (4 - 6 + 3)*((-2 - y + 2)*(2*y**2 - 2 + 2) - 2*y**3 - 4*y**3 + 4*y**3 - y + y - y**3) + 10*y**3 + 10*y**3 - 25*y**3.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
ird derivative of -280*b**3*n + 2*b**3 - b**2*n + 2*b**2 - 97*n wrt b?
-1680*n + 12
Differentiate -q*w**4 + 32*q*w**2 - 2752*q + 5*w**2 with respect to w.
-4*q*w**3 + 64*q*w + 10*w
What is the first derivative of -5*k**4 + 88*k*n**2 - 50*n**2 - n wrt k?
-20*k**3 + 88*n**2
Differentiate -2954*j**3 - 1714 with respect to j.
-8862*j**2
Find the third derivative of -239*k**3 + 134*k**2.
-1434
What is the second derivative of f**3*k**2 - f**3 - 16*f**2*k + 2*f**2*y**2 + 53*f*k**2*y**2 - 2*k**3*y + 2*k*y wrt k?
2*f**3 + 106*f*y**2 - 12*k*y
Find the second derivative of -1972*c**2 + 16*c + 142.
-3944
What is the third derivative of 17929*m**4 + 2773*m**2?
430296*m
What is the second derivative of 60*b**3*r**5 - b**3*r + 52*b*r + 2*r**5 + 2 wrt r?
1200*b**3*r**3 + 40*r**3
Find the third derivative of 3*w**2*z**3 - 46*w**2*z - 2*w - 6*z**5 - z**2 wrt z.
18*w**2 - 360*z**2
What is the second derivative of -4241*x**3 - 226*x - 9?
-25446*x
What is the first derivative of 11707*p**2 + 1358?
23414*p
Find the third derivative of 36*v**4 - 3*v**3 - 114*v**2 - 40 wrt v.
864*v - 18
What is the derivative of -1489*z**3 - 2026?
-4467*z**2
What is the third derivative of 14*z**6 + 16*z**4 + z**2 + 20*z wrt z?
1680*z**3 + 384*z
What is the third derivative of 8*z**4 - 204*z**3 + 2281*z**2 - 4*z wrt z?
192*z - 1224
Find the second derivative of -7*j**3 - 12*j**2 + 175*j.
-42*j - 24
Find the second derivative of -2*i**5*o - 4*i**4 - 2*i**2*o - 461*i*o wrt i.
-40*i**3*o - 48*i**2 - 4*o
Find the second derivative of -8*d**4 + 496*d wrt d.
-96*d**2
What is the third derivative of 16*o**6 - 96*o**5 + 242*o**2 + 8*o - 2?
1920*o**3 - 5760*o**2
What is the first derivative of 27*l*o*v*x - 14*l*v*x + l*x + l + 2*o*v*x + 1102*o*x wrt v?
27*l*o*x - 14*l*x + 2*o*x
Find the first derivative of -v**4*z - 2*v**2*z - 19*v + 23*z - 6 wrt v.
-4*v**3*z - 4*v*z - 19
What is the third derivative of -1355*p**3 + 7160*p**2 wrt p?
-8130
Find the third derivative of 20762*q**3 + 8*q**2 + q + 181 wrt q.
124572
Find the first derivative of 405*b**4 + 3*b**3 + 5878.
1620*b**3 + 9*b**2
What is the second derivative of -86*c**2 - 294*c?
-172
Find the second derivative of -19*d**3 + 6*d**2 - 26*d wrt d.
-114*d + 12
Find the third derivative of 3*c**2*f**3 - c**2*f**2*t**2 + 2*c**2*t - 400*c*f**3*t**3 - 18*c*f*t**3 - c*f wrt f.
18*c**2 - 2400*c*t**3
Find the third derivative of 3*d**6*g + 22*d**3*g**2 + d**2*g - 22*g**2 wrt d.
360*d**3*g + 132*g**2
What is the third derivative of 4833*o**3 - 13901*o**2?
28998
What is the second derivative of 1054*g**3*l**2 + 3*g**3 - 3*g*l**2 + 335*l wrt l?
2108*g**3 - 6*g
Differentiate 267*m*o**3 + 2*m*o + 2435*o**3 wrt m.
267*o**3 + 2*o
Find the first derivative of 90*j*s**2 + 117*j wrt s.
180*j*s
Find the first derivative of -17789*b + 13419.
-17789
Find the second derivative of -19870*d**4 - 76*d - 57.
-238440*d**2
Find the third derivative of -1201*h**5 + 2*h**4 - 2*h**3 + 212*h**2 - 9*h.
-72060*h**2 + 48*h - 12
What is the second derivative of -331*d**2 + 2*d + 3?
-662
Find the third derivative of -15*h**5*t**2 + h**2*t**2 - t**2 - 19*t wrt h.
-900*h**2*t**2
Differentiate -107*d**4 - 2*d**3 + 2*d + 8337.
-428*d**3 - 6*d**2 + 2
What is the third derivative of 1110*i**6 + 1170*i**2 wrt i?
133200*i**3
Find the second derivative of 2*p**5 + 117*p**3 + 473*p wrt p.
40*p**3 + 702*p
What is the derivative of -467*a**4*o**3 + a**4 - 2*o**3 + 62 wrt a?
-1868*a**3*o**3 + 4*a**3
Find the second derivative of -259*b**3*v**5 - 8*b**3*v**2 + 2*b**3*v - 2*b**3 + 413*b**2*v wrt v.
-5180*b**3*v**3 - 16*b**3
What is the first derivative of 51*c**2 - 6*c + 1169?
102*c - 6
Find the third derivative of 30*w**3*y**3 - 4*w**3*y - 4*w**2*y**3 + 12*w**2 - 2*y**3 wrt w.
180*y**3 - 24*y
Find the third derivative of -1085*d**4 + 210*d**2 - 17.
-26040*d
Differentiate -3*f**3 + 6*f*y**2 - 13*f - y**2 - 28 with respect to f.
-9*f**2 + 6*y**2 - 13
Find the first derivative of 386*p - 297 wrt p.
386
What is the second derivative of -18*c**2*u**3 - 69*c**2*u + 8*c*u**3 - c*u - 17*u**3 wrt c?
-36*u**3 - 138*u
What is the first derivative of 332*b*g*x**2 + b*g - 7*b*x + 43*x**2 wrt g?
332*b*x**2 + b
What is the first derivative of 19*i**2 + 19*i - 28563 wrt i?
38*i + 19
What is the third derivative of -203*o**6 - 180*o**2 wrt o?
-24360*o**3
Differentiate a*i*p**3 + 70*a*i - 5*a*p**3 + 2*i*
|
{
"pile_set_name": "DM Mathematics"
}
|
(-3 - (4 + (24 - 38))).
-41
What is 8 + (23 - ((-12 - -13) + -29))?
59
83 + (-33 - (-38 + 36))
52
Calculate (4 - (-43 - (2 + -5))) + (739 - 735).
48
Evaluate 4 - (2 - 6 - (24 - 20)) - 19.
-7
What is the value of (-15 - (-6 + -7)) + 7 + -6 + -9 - -67?
57
(15 - 21) + 4 - (-13 - (5 + -8)) - 1
7
Evaluate -97 + 2 - ((-3829 - -3857) + 1 + -32 + 3).
-95
Calculate 77 - (53 + -27) - 44.
7
Calculate -22 - (-11 + (-1 - -4) + 9) - -11.
-12
0 + -1 + 4 - (-73 - -90 - (0 - -61))
47
What is (7 - -16) + (16 - 6 - 21 - (-27 - -7))?
32
Calculate -84 - -13 - (-91 + 96).
-76
What is -240 + 58 - -132 - (3 - (2 - 3))?
-54
Calculate (-47 - -14) + (-15 - -62).
14
Evaluate (-6 - 74) + 662 + -679.
-97
What is the value of (110 - 28) + -45 + -15?
22
What is (-25 - -4) + 65 + (-1 - -24)?
67
What is -9 - (77 + 25) - -118?
7
What is -3 - (12 - 5 - (4 - (-9 - (27 + 3))))?
33
Calculate -3 - (18 - (-6 - (-19 + -10))).
2
Evaluate -38 + (-9 + 83 - (4 - -8)).
24
2 - 4 - -5 - (29 + -8 + -106 - 15)
103
What is the value of 153 + 71 + -123 - 115?
-14
What is the value of (23 + -35 - (-115 + 107)) + (-51 - -1)?
-54
Evaluate -2 + (-19 - (35 + -57)) - (-1 - (-4 - -3)).
1
Evaluate -40 - (8 - -1 - (108 + -107)).
-48
Calculate 90 + 6 + (-16 - -26) - -11 - (12 - -3).
102
Calculate (-14 - -5) + -12 + 31 + 28.
38
What is the value of (-111 - -1) + 88 + (-2 - -33)?
9
What is -13 + 18 + -12 - (-22 - -34)?
-19
Calculate -8 - (3 + 1) - (81 + -30 - 30).
-33
(44 - 74) + (-2 + 13 + -21 - (-6 + -1))
-33
Evaluate (0 - 108) + -525 + 327 + 201.
-105
What is -23 - -29 - (-5 - 0) - (-9 + -5 - 32)?
57
What is the value of 137 - (145 - (-36 + 90))?
46
What is (-4 + -5 - 2) + 10 - (-6 - 60 - 5)?
70
What is 12 + (-4 - 47 - -13) + 17 - 5?
-14
What is (3 - 3) + 31 + -21 + 20 + 23 + -27?
26
What is -3019 + 3103 - (1 - -106)?
-23
What is the value of (-1 - 0) + (11 + (-14 - -4) - -55)?
55
What is the value of 108 + (-124 - -76) - 18?
42
(12 - -8) + -14 + (5 - -1) + 12
24
What is 1 + -1 - -7 - (-68 - -93 - (-21 + 3))?
-36
What is -30 - -3 - (-16 + 46 + -11)?
-46
What is the value of (-7 + 2 + 1 - (346 + -350)) + 61 + 1?
62
What is the value of -31 - ((0 + -41 - -63) + -40)?
-13
Evaluate 10 - -2 - (-135 + (131 - 83)).
99
What is the value of -2 + 3 - (-23 - 1 - (-312 + 275))?
-12
What is -3 + -3 - (62 + 18) - (-9 + -5 + 17)?
-89
What is the value of -32 + (-26 - (24 + -84))?
2
What is (-38 - -46) + (-4 - 3) + -1 + 44?
44
Evaluate (-1 - (-11 - -3)) + 3 + -17 + (1 - -7).
1
What is 3456 + -3453 + 1 + -13?
-9
What is ((2 - 3) + -1 - (18 - 8)) + -635 + 577?
-70
Calculate 10 - (-57 + -22 + 29 + 19).
41
-104 - (10 - (32 + 3 + -2))
-81
What is the value of 1 - (-11 - (5 + 0 - -5 - 53))?
-31
51 + (-159 - (-96 - -4))
-16
Evaluate 66 - (9 + 52) - (0 + 14 - (-7 + 10)).
-6
Evaluate 2 - -12 - (-1644 - -1601).
57
Calculate -3 + 31 - (-3 + -12 + 9 + (-6 - -10)).
30
What is 6 + (-3 - 30) + 23 + -10 - 28?
-42
135 - (3 - (-48 - 54))
30
(-79 + 82 - (-2 - 7)) + -21 - -10 - 57
-56
What is the value of (-9 - (28 - (-9 - 6))) + (-6 - -1 - -7)?
-50
-19 + 9 - (-8 + -8 + (-60 - -3) + -10)
73
Calculate 105 - (210 - -24) - -147.
18
Calculate 104 - (28 + -12 + -23 - -14).
97
6 - (44 - 43) - (-2 + (-2 - -6) - 68)
71
What is the value of -1 + (-70 + 20 - -47) + -13 + -2?
-19
13 - (-3 - (-14 + -1 - (18 + -31)))
14
What is the value of 45 + (-190 - -109) - -42?
6
What is the value of 18 + (34 - (3 - -2)) + 2 + 7?
56
(-43 + 39 + -1 + 3 + 1 - 8) + 8
-1
Calculate 13 + (-74 - -16) + 47.
2
-10 + (18 - (11 + 7 + 3)) + -6 + 2
-17
Calculate -7 + 8 + -27 - (-203 + 221).
-44
What is the value of -1664 + 1647 + 0 + -36?
-53
Evaluate -28 + -2 + -2 + (-976 - -979).
-29
What is (-5 - (-44 + 6)) + (-11 + 35 - 28)?
29
What is -15 - (17 + -38) - 7 - (-1 - -26)?
-26
Evaluate (-69 - (0 + 1)) + (-26 - (30 + -27 + -29)).
-70
10 + -6 + (-6 - (13 - 32)) - 1
16
(-1 - -8) + 25 + 12 + (-6 - -5 - -5)
48
What is -67 + 3 - (-13 - -3 - (-11 - 6)) - -9?
-62
Calculate -5 - (-10 - (-15 - (-30 + 9)) - -32).
-21
What is 17 + 4 - (564 - 510)?
-33
What is -2 + -6 + 3 + -3 + 7 - -5?
4
What is 8 + (9 - -23) + -15 + -6?
19
Evaluate 129 - (-16 - (10 - 1 - 19 - 5)).
130
Evaluate 333 + -351 - (63 + -40).
-41
Evaluate -3 + 1 + 3 + 8 + (38 - 31).
16
Calculate (9 - (5 + -4)) + (-77 - -25).
-44
What is the value of (-19 - -6) + 43 + -149 - (-5 + 27)?
-141
What is (-180 - -5) + (352 - 243)?
-66
-119 - (-5 - (5 + 112))
3
Evaluate 1 + -4 - -2 - -
|
{
"pile_set_name": "DM Mathematics"
}
|
s in 6 - 1 - 6*u + 13*u + 50*u.
57*u + 5
Collect the terms in 3013*r - 3013*r - 272*r**2.
-272*r**2
Collect the terms in -3*g - 5*g + 4*g.
-4*g
Collect the terms in -5*y**2 - 23*y + 2*y**2 + 4*y**2.
y**2 - 23*y
Collect the terms in 28*k - 33*k + 8*k.
3*k
Collect the terms in 18*o - 35*o - 8*o**3 + 17*o.
-8*o**3
Collect the terms in 91*c**3 + 54*c**3 + 26*c**3.
171*c**3
Collect the terms in -10*w**2 - 15*w**2 + 3*w**2.
-22*w**2
Collect the terms in 12*c**2 - 1566*c + 1566*c.
12*c**2
Collect the terms in 22*g - 3*g**2 + 15*g - 2*g**3 - 37*g + g**2.
-2*g**3 - 2*g**2
Collect the terms in 7*j**2 - 3*j + 3*j - 2*j**3.
-2*j**3 + 7*j**2
Collect the terms in 2*r + 55 - 115 + 60.
2*r
Collect the terms in -20*l**3 + 37*l**3 - 283*l**3 - 56*l**3.
-322*l**3
Collect the terms in 24*y**2 + 17*y**2 + 30*y**2 - 55*y**2.
16*y**2
Collect the terms in -70*z**2 - 41*z**2 + 112*z**2.
z**2
Collect the terms in -691*i + 34*i - 843*i.
-1500*i
Collect the terms in 3*k - 5*k + 2*k - 4*k.
-4*k
Collect the terms in -29*o**2 - 7*o**2 - 149*o**2.
-185*o**2
Collect the terms in 33*l + 36*l - 2*l + 5*l + 3*l**2.
3*l**2 + 72*l
Collect the terms in -51*b**2 + 11 + 52*b**2 - 11.
b**2
Collect the terms in 2*r - 8*r - 7*r + 0*r + 8*r.
-5*r
Collect the terms in -1426*n - 1422*n + 2851*n.
3*n
Collect the terms in 7*s**2 - 4*s**2 - 16*s**2.
-13*s**2
Collect the terms in -42*m + 33*m + 5*m.
-4*m
Collect the terms in -47*y + 13*y + 31*y.
-3*y
Collect the terms in -5*a**2 - 13*a**2 + 13*a**2.
-5*a**2
Collect the terms in -21*l - 20*l - 6 + 11 - 5.
-41*l
Collect the terms in -15*s + 20*s - 11*s.
-6*s
Collect the terms in 22*b**2 + 23*b**2 - 59*b**2 + 15*b**2.
b**2
Collect the terms in 2 - 79*f**3 - 7 + 4.
-79*f**3 - 1
Collect the terms in -9 + 8 - 7 + 8 - 5*p**3.
-5*p**3
Collect the terms in -4*g**2 + 10 + 0*g**2 + 3*g**2 + 3.
-g**2 + 13
Collect the terms in -5*o + 18*o + 43*o.
56*o
Collect the terms in j**2 - 11*j**2 - 3*j**2.
-13*j**2
Collect the terms in 4 + 2*x**3 - 3*x**3 + 2*x**3 + 0.
x**3 + 4
Collect the terms in 182 - 182 - 36*a.
-36*a
Collect the terms in 38 - 3*u - 11 - 18 - 9.
-3*u
Collect the terms in -26*v**3 + 25052*v**2 - 25052*v**2.
-26*v**3
Collect the terms in 8*g - 3 + 3 + 4*g.
12*g
Collect the terms in k**3 - 5*k**3 + 0*k**3 - 8*k**3.
-12*k**3
Collect the terms in 26*g**2 + 2*g - 4*g + 2*g.
26*g**2
Collect the terms in 129 + 28*x**3 - 129.
28*x**3
Collect the terms in 0*d**2 + 11*d**2 + 2*d**2.
13*d**2
Collect the terms in 49*d - 14*d + 73*d - 10*d.
98*d
Collect the terms in 22*b**2 - 6*b**2 + 12*b**2.
28*b**2
Collect the terms in -13 + 13 + 4*s.
4*s
Collect the terms in -207*t**2 - 205*t**2 + 416*t**2.
4*t**2
Collect the terms in 2 - 10 - 5*f - 13*f.
-18*f - 8
Collect the terms in 13*u**2 - 7*u**2 - 18*u**3 - 4*u**2.
-18*u**3 + 2*u**2
Collect the terms in -1436*k + 0 + 0.
-1436*k
Collect the terms in 30*j**3 + 0 - 31*j**3 + 0.
-j**3
Collect the terms in z**2 + 1092005*z**3 - 1092006*z**3 - z**2.
-z**3
Collect the terms in -7*q + 0*q + 2*q.
-5*q
Collect the terms in -21*p**3 - 3*p**3 - 9*p**3 - 12*p**3.
-45*p**3
Collect the terms in 1587 - 3*g**2 - 1587.
-3*g**2
Collect the terms in -196*a**2 - 205*a**2 - 203*a**2 + 602*a**2.
-2*a**2
Collect the terms in 456*j**2 - 20*j**2 + 366*j**2.
802*j**2
Collect the terms in -6 + 0*l + 0 + 1 - l.
-l - 5
Collect the terms in -239*h**3 - 329*h**3 + 74*h**3.
-494*h**3
Collect the terms in -7*k**2 - 12*k**2 - 22*k**2 + 23*k**2.
-18*k**2
Collect the terms in -210*v**3 + 2*v + 211*v**3 - 2*v.
v**3
Collect the terms in i + 12*i**2 - 151*i**3 - 12*i**2.
-151*i**3 + i
Collect the terms in 5*x**2 + 3*x**3 - 4*x**2 - x**2.
3*x**3
Collect the terms in 174*v - 330*v + 155*v.
-v
Collect the terms in 2*f**3 - 17*f**3 + 17*f**3.
2*f**3
Collect the terms in 247*k - 247*k - 21*k**2.
-21*k**2
Collect the terms in 3*m**3 - 762*m**2 + 0*m**3 + 762*m**2.
3*m**3
Collect the terms in -21 + 11*f - 22 + 43.
11*f
Collect the terms in 8*k**2 + 0 - 3 - 5.
8*k**2 - 8
Collect the terms in 300556*n - 6*n**2 - 300556*n.
-6*n**2
Collect the terms in -513*w + 215*w - 298*w.
-596*w
Collect the terms in 15*g**3 - 6*g**3 - 2*g**3 - 6*g**3.
g**3
Collect the terms in
|
{
"pile_set_name": "DM Mathematics"
}
|
se 10, what is 1097309 - 760?
1096549
In base 3, what is 12 + -11001022221022021?
-11001022221022002
In base 2, what is -111111111110011000011110 + -1?
-111111111110011000011111
In base 3, what is 1100102020 - 21111221?
1001220022
In base 16, what is -2e5eb7 - 13e?
-2e5ff5
In base 8, what is 25753 + 46236?
74211
In base 6, what is 2313 - 151324?
-145011
In base 11, what is 347 - -18629?
18975
In base 13, what is -2a1c - 8926?
-b645
In base 8, what is -11436133 + -24?
-11436157
In base 15, what is -4 + 17d7e4b?
17d7e47
In base 12, what is -1649ba2 - 32?
-164a014
In base 4, what is -2332302010312 - 3?
-2332302010321
In base 11, what is -4649 - -2526a?
20721
In base 9, what is -205 + -22766?
-23072
In base 10, what is -170 - 516743?
-516913
In base 2, what is -1010110011001100100 + 10010000101?
-1010110000111011111
In base 3, what is 12101112012021 - -110?
12101112012201
In base 15, what is -66a6664 - -5?
-66a665e
In base 5, what is 21343 - -30041?
101434
In base 5, what is 120332 - 3220?
112112
In base 11, what is 610a634 - -9?
610a642
In base 2, what is 10 + 1000100100010001010100111?
1000100100010001010101001
In base 15, what is 22a95 + -177?
2291d
In base 6, what is 1150152 + -1240?
1144512
In base 12, what is -2703557 - -5?
-2703552
In base 7, what is 24 - 5041532?
-5041505
In base 9, what is 2177 - 185178?
-183001
In base 8, what is 164743 - -171?
165134
In base 6, what is -4 - 53222033?
-53222041
In base 15, what is -4 - 7756e49?
-7756e4d
In base 7, what is -11 + 153525661?
153525650
In base 10, what is -2552 + 266935?
264383
In base 11, what is a2a + 9374?
a2a3
In base 13, what is 351706 + -437?
35129c
In base 16, what is 2fb76 + -a1?
2fad5
In base 8, what is -43 + -1570077?
-1570142
In base 15, what is 1e88 - -24e?
21d7
In base 4, what is 2 - -212110101031?
212110101033
In base 15, what is -4 - 20c7b38?
-20c7b3c
In base 3, what is -102 - -1011100212210?
1011100212101
In base 11, what is 13a99a6 + 13?
13a9a09
In base 12, what is -391 - -17847?
17476
In base 9, what is 44 - -6668477?
6668532
In base 10, what is 814 + -732110?
-731296
In base 14, what is 2d + -13392?
-13363
In base 16, what is -a9a3264 - -4?
-a9a3260
In base 3, what is 1111012222010 + -200?
1111012221110
In base 7, what is -105112144 + -1?
-105112145
In base 9, what is -14 + 1710275?
1710261
In base 2, what is 11 - -11011010110100001010000?
11011010110100001010011
In base 7, what is 2 - -5034255?
5034260
In base 16, what is -a55 - -579f?
4d4a
In base 8, what is -305562043 + -4?
-305562047
In base 5, what is -112021 + 100413?
-11103
In base 14, what is 233 - -327?
55a
In base 3, what is 111 + 1012211011102011?
1012211011102122
In base 13, what is -19 - 31a11?
-31a2a
In base 14, what is -3 + 7206c8?
7206c5
In base 8, what is -47 - -503523?
503454
In base 3, what is 102 - 11002221021221?
-11002221021112
In base 4, what is -1011220303220 + 121?
-1011220303033
In base 15, what is 5 - 461d88c?
-461d887
In base 11, what is -516949 + 26?
-516923
In base 4, what is -32023333120 + -10?
-32023333130
In base 7, what is -33614314 - 0?
-33614314
In base 16, what is 8d + -97746?
-976b9
In base 11, what is -22258 - -23?
-22235
In base 7, what is -2 + -23641332?
-23641334
In base 8, what is -300532670 - -2?
-300532666
In base 12, what is 32948 + 88?
32a14
In base 15, what is 77c2bb65 - 2?
77c2bb63
In base 13, what is -2 + 3b2b071?
3b2b06c
In base 6, what is 101542334 - 2?
101542332
In base 10, what is 7687859 + -9?
7687850
In base 14, what is -23794c8 + -6?
-23794d0
In base 6, what is 230010 - 14133?
211433
In base 4, what is 10211121132333 - 0?
10211121132333
In base 9, what is -1710448 + -233?
-1710682
In base 10, what is 81506 - -196?
81702
In base 6, what is 121434405 - -30?
121434435
In base 5, what is 442114310 - 2?
442114303
In base 6, what is 33 + 234300435?
234300512
In base 5, what is -4221 - 2212140?
-2221411
In base 5, what is 0 + -30440331400?
-30440331400
In base 13, what is -7 - -22c8ac0?
22c8ab6
In base 7, what is -60 - 25155362?
-25155452
In base 11, what is 492 - -8686?
9068
In base 11, what is -5030 + -2474?
-74a4
In base 6, what is 10000343024 - -5?
10000343033
In base 12, what is 1b + 261b590?
261b5ab
In base 11, what is 2a25 - -7225a?
75184
In base 7, what is -4 - 21214663?
-21215000
In base 4, what is 103221303 - 11032?
103210211
In base 4, what is 230232122 - 100?
230232022
In base 3, what is -12011020010110 - 1011?
-12011020011121
In base 11, what is -1336072 - 31?
-13360a3
In base 8, what is 16217445 + 30?
16217475
In base 16, what is -eb1eb9 - -5?
-eb1eb4
In base 16, what is 136 - db2c5?
-db18f
In base 7, what is -1 + -1105055435?
-1105055436
In base 7, what is -152 + 1151353
|
{
"pile_set_name": "DM Mathematics"
}
|
))/(665/(-1425)).
-6/7
What is the value of ((-17)/((-170)/8))/((-4)/10)?
-2
What is the value of 7*-1*105/(-147)?
5
Calculate ((-4)/(-6))/(((-26)/6)/13).
-2
What is (75/36)/5*(-126)/(-140)?
3/8
Evaluate 6*(-1)/(-2)*2/6.
1
Calculate ((-18)/(-351))/((-1)/(-3)).
2/13
What is the value of ((-4)/9)/(410/123)?
-2/15
((-2)/(-3))/(((-130)/(-15))/(-13))
-1
Evaluate (-4)/(-10)*8/((-32)/20).
-2
What is the value of -10*(-2)/4*(-21)/70?
-3/2
Evaluate (-8)/3*3/(-20).
2/5
What is (-7)/((-315)/(-36))*(-6)/(-8)?
-3/5
Calculate ((-24)/36)/((-10)/45).
3
Calculate (5*1)/(2*1/(-2)).
-5
What is the value of ((-69)/23)/((-1)/(-1))?
-3
What is the value of (5/65)/(3/(-6))?
-2/13
Evaluate (-7)/(35/(-10))*2/2.
2
What is ((-1)/(-4))/(2/8)?
1
What is the value of (142/71)/((-1)/(2/1))?
-4
What is the value of 96/8*(20/(-8))/(-5)?
6
What is the value of (6/90*9)/(1/5)?
3
Evaluate (120/36)/((-4)/(-6)).
5
Calculate (0/(-5))/((1/(-1))/(-1)).
0
(13/((-195)/10))/((-4)/(-30))
-5
Evaluate 2/2*-3*13/(-104).
3/8
11/(-22)*(-1)/2
1/4
What is ((10/(-6))/(-5))/((-45)/135)?
-1
What is ((6/(-9))/(-2))/(42/36)?
2/7
Calculate ((-4)/(-6))/(150/45)*-2.
-2/5
Evaluate (-3)/54*-3*(-45)/5.
-3/2
Calculate (((-20)/25)/(-4))/((-2)/(-8)).
4/5
(0/(-2))/(6/2)
0
Evaluate (1/10)/((-22)/(-44)).
1/5
45/70*2/3
3/7
What is ((-210)/756)/((-5)/4)?
2/9
What is ((-8)/(-4))/(3/(-6))?
-4
Evaluate (1*2/(-4))/(3/(-1)).
1/6
((-3)/4)/(45/30)
-1/2
(-8)/66*(-57)/38
2/11
Calculate (10/(-60))/(1/(-6)).
1
What is the value of ((-2)/10)/((-48)/60)?
1/4
Evaluate (-24)/(20/5)*(-3)/6.
3
What is ((-8)/(-8))/(12/(-12))?
-1
Evaluate (-8)/(-6)*-36*9/(-54).
8
Calculate 21/14*(-8)/(-6).
2
Evaluate ((-72)/180)/((-57)/15).
2/19
Evaluate ((-2*16)/(-4))/(10/(-5)).
-4
What is (12/50)/((-48)/(-160))?
4/5
((-8)/36)/(4/(-30))
5/3
(-10)/60*4*3
-2
What is (4/(-26))/((-12)/156)?
2
What is the value of ((-8)/44)/((-5)/(-5))?
-2/11
Calculate ((-1)/3)/(-3*3/27).
1
What is 3/(-4)*26/39?
-1/2
((-3)/(-2))/(6/(-8))
-2
(-4)/(-8)*(-48)/48
-1/2
Evaluate (-2)/(11/165*6).
-5
5*6/(-1440)*-8
1/6
Evaluate -2*2/12*9.
-3
What is the value of 10/(-20)*(-2)/4?
1/4
What is the value of (-2)/(-14)*4/4*-2?
-2/7
Evaluate ((-23)/(-69))/(6/(-18)).
-1
What is 22/4*(-2)/(-11)?
1
What is the value of ((-48)/(-36))/((-4)/(-9))?
3
Evaluate (-2)/20*2*(-135)/(-72).
-3/8
Calculate (21/(-18))/(5/30).
-7
What is the value of 0*2/10*(-355)/142?
0
Evaluate (-3)/((-24)/(-48)*3*1).
-2
Evaluate ((-1)/(-5)*-5)/2.
-1/2
What is the value of 2*(-4)/(-24)*2?
2/3
What is 1/((-5)/(-1))*5/(-6)?
-1/6
What is the value of (24/(-90))/(7/21)?
-4/5
What is 2/(-6)*(-396)/(-132)?
-1
(50/(-20))/(10/(-6))
3/2
What is ((-25)/(875/(-14)))/((-26)/10)?
-2/13
What is 1/(-4)*1*-1?
1/4
What is the value of 3/(-3)*3*(-3)/9?
1
-1*(9/(-15))/3
1/5
Calculate 3/(-8)*17/51.
-1/8
Calculate (-42)/12*((-6)/(-21))/(-1).
1
(2/30)/((-5)/(360/12))
-2/5
Evaluate (-22)/(-11)*((-4)/(-6))/(-2).
-2/3
What is the value of (6/(24/(-1)))/((-9)/180)?
5
What is the value of (-4)/4*16/4?
-4
((-1)/(-9))/(11/22)
2/9
1/3*(-5)/(5/(-2))
2/3
What is the value of 0/3*(-2)/6?
0
What is 3/((-6)/(-1))*2?
1
What is 60*14/112*4/(-5)?
-6
What is the value of 3/(-10)*12*23/207?
-2/5
What is 22/(-165)*(-6)/4?
1/5
Evaluate ((-32)/(-12))/(-4)*18/4.
-3
1*3/(-3)*4*1
-4
(-1)/2*2/2
-1/2
Calculate (-336)/(-16)*(-2)/6.
-7
Evaluate (8/(-16)*1)/((-1)/(-1)).
-1/2
Calculate (-2)/((-8)/2)*(-98)/7.
-7
Evaluate -5*6*1/10*1.
-3
Calculate 1/8*(-18)/3.
-3/4
Calculate ((-30)/60)/(2/(-16)*-2).
-2
What is the value of (21/2)/(594/(-99))?
-7/4
Evaluate ((-4)/10)/((-6)/5).
1/3
What is (1/(-3))/(((-8)/(-42))/4)?
-7
What is ((-606)/(-3333))/((-1)/(-11))?
2
(6/(-12))/(6/12)
-1
What is the value of (-4)/(-49)*2*84/144?
2/21
Calculate -5*((-8)/50)/((-20)/(-50)).
2
Evaluate -10*(-8)/(-20)*(-10)/8.
5
Evaluate 2/(-12)*-5*2.
5/3
What is (56/(-490))/((-4)/14)?
2/5
What is (-1)/5*5/6?
-1/6
What is the value of 5/30*231/(-11)?
-7/2
136/153*6/(-8)
-2/3
Calculate 28/(-8)*40/(-35).
4
Evaluate (-6)/(-6)*(3/12)/1.
1/4
What is 88/154*(-7)/(-6)?
2/3
What is (-10)/140*21/2?
-3/4
12/56*(-6)/3
-3/7
Calculate (5/(-50))/(4/8).
-1/5
What is the value of (-1)/((-11)/22*-4)?
-1/2
What is the value of (15/1)/((-39)/(-13))*-1?
-5
What is -6*(-2)/36*27/3?
3
Calculate ((-1332)/555)/(6/(-4)).
8/5
What is the value of ((-3)/6)/((-1)/2)?
1
What is (-4)/6*(-11)/(-297)*9?
-2/9
(-1)/((-4)/(-2))*(-72)/12
3
Calculate (9/(-6))/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
se
Which is smaller: -0.12964723 or 3/4?
-0.12964723
Which is smaller: 178392/223 or 800?
178392/223
Which is smaller: 16536/383 or 43?
43
Is -111763/274 < -409?
False
Is -2/1308503777 less than or equal to -1?
False
Which is smaller: 14286996 or 14286988?
14286988
Which is smaller: 100150841 or 100150842?
100150841
Is 491575/2 equal to 245788?
False
Is -1 at least 64/36012929?
False
Is 52337/284 greater than 185?
False
Is 1 not equal to -22/5337533?
True
Are 163325 and 164079 non-equal?
True
Which is smaller: 0 or -0.7060199?
-0.7060199
Which is smaller: -96484 or -96451?
-96484
Which is smaller: 104 or -26819?
-26819
Is -1.58 <= -2018706?
False
Is -1 at most as big as -400879546?
False
Is -0.3 at least -8774.962?
True
Which is bigger: -1.5 or 2813726.1?
2813726.1
Which is smaller: -1 or 1/120286030?
-1
Are -398/93259 and -2 unequal?
True
Are 47341083 and 47341083 unequal?
False
Is 4/7 at most 1107476?
True
Which is smaller: 11722124 or 11722122?
11722122
Is 58/8858989 >= 0?
True
Which is smaller: 2/5 or 78478461?
2/5
Which is greater: -6.767 or -178?
-6.767
Are 6 and 0.07321029 nonequal?
True
Is -1413780 greater than or equal to -1413386?
False
Which is smaller: 1 or -3273/6964?
-3273/6964
Which is smaller: 4491184 or 4491171?
4491171
Is 24147 >= 23934?
True
Is 9196 at least as big as 4410?
True
Which is smaller: -163 or 3115800?
-163
Which is smaller: -139 or 1162.2?
-139
Are -107/20372 and 21 equal?
False
Which is greater: 193/156028 or -1?
193/156028
Which is bigger: 1 or -305/2891166?
1
Which is smaller: -11518 or -1704721/148?
-1704721/148
Is -83910744 at least as big as -83910745?
True
Is 2/5718421 not equal to 1?
True
Which is bigger: -1/12046974 or -1?
-1/12046974
Is 0 greater than -14125/11363?
True
Which is smaller: 6117136 or 6117131?
6117131
Is 4865451 bigger than 4865631?
False
Is -2/3801 at most 15805?
True
Are -45298 and -45198 non-equal?
True
Do -94480958 and -94480945 have the same value?
False
Is 22800 at most 569987/25?
False
Is -56572306 at least 2?
False
Are 915439434 and 915439434 equal?
True
Is 19982 less than or equal to 2/759?
False
Which is bigger: -60977 or -61772?
-60977
Are 0 and 23/653771 equal?
False
Which is greater: 22031/5 or 570?
22031/5
Which is bigger: -30187 or -452797/15?
-452797/15
Is -659641 smaller than -8575338/13?
False
Which is smaller: 91480 or -241?
-241
Which is smaller: -1/51735214 or -1?
-1
Which is bigger: -0.06 or -46272313?
-0.06
Which is greater: 1472848 or 27984099/19?
1472848
Is -1322112/119 < -11109?
True
Which is smaller: -86491131 or 0.2?
-86491131
Is -18617 smaller than -307/11?
True
Which is greater: 1/942096138 or 1?
1
Is -1 <= -6/12737165?
True
Which is smaller: -7/26827 or 0?
-7/26827
Which is greater: 32194 or -3347?
32194
Is 7943 at most 7793?
False
Which is bigger: -43.735 or -7?
-7
Which is greater: 115980951 or 347942849/3?
115980951
Which is smaller: -679 or -72404?
-72404
Is 25/87 smaller than -19206?
False
Is 62662588 not equal to 62662588?
False
Which is greater: -11820596 or -35461789/3?
-11820596
Which is greater: -158053 or -560?
-560
Which is smaller: 0.17 or -18185/111?
-18185/111
Which is greater: 1.10767 or 1.009?
1.10767
Which is smaller: 70021/8 or 0.373?
0.373
Are 43953 and -5 nonequal?
True
Is -120157176 less than -120157175?
True
Is 334281158 less than or equal to 334281160?
True
Is -1/72 != 1/269441?
True
Which is greater: 2/19227625 or 1?
1
Is 66/22708711 equal to 1?
False
Is 1971693 not equal to 1971693?
False
Which is smaller: -2 or -21374/26195?
-2
Which is smaller: 998437/4 or 9/5?
9/5
Are 247/3 and -2/598877 equal?
False
Which is smaller: 1296455 or 1296405?
1296405
Which is smaller: 0 or -38/14735269?
-38/14735269
Is 4827128 bigger than 91715416/19?
True
Are -6951582 and 2 equal?
False
Which is greater: -49 or -20998?
-49
Is -35/972323 > 0?
False
Is -13 >= -12319299?
True
Which is smaller: 145446 or 872671/6?
872671/6
Which is smaller: -2906679 or -2906681?
-2906681
Is 7747317 not equal to 7747316?
True
Which is smaller: -3056 or -541?
-3056
Are 671762 and 671762 equal?
True
Does -74728885 = -74728885?
True
Which is smaller: -977 or -65346?
-65346
Is -105 > 71454?
False
Do 68940 and 30/31 have the same value?
False
Which is bigger: 13767195 or 13767193?
13767195
Which is bigger: -106.35308 or 1?
1
Is -430194 at least -430302?
True
Is -12028 at most as big as 4275?
True
Is 16075315/17 at most 945606?
False
Which is smaller: 7423775 or 7423769?
7423769
Is 23583600/13 <= 1814124?
True
Which is smaller: -5284694 or -5284696?
-5284696
Which is smaller: 495.016 or 3/8?
3/8
Which is bigger: 1/52 or 672965?
672965
Is -11 at least as big as -797687?
True
Which is smaller: 0.62 or -83.716?
-83.716
Which is smaller: -471296 or -129?
-471296
Which is greater: 0 or -6/150820889?
0
Is 1 less than or equal to -812/12149?
False
Which is bigger: 0 or 2/100049223?
2/100049223
Is -80 at most -19117?
False
Is 2441 equal to 2715?
False
Which is bigger: -145156/173 or -838?
-838
Which is bigger: 17 or 2961242?
2961242
Which
|
{
"pile_set_name": "DM Mathematics"
}
|
Let l = p - 0.12. Let b = 8 - 25/3. What is the second biggest value in 0.02, l, b?
0.02
Let s = -93 + 92.6. Which is the third smallest value? (a) -54 (b) s (c) -1
b
Let r = 0.4 - 0.8. Let u = r + 3.4. Which is the second smallest value? (a) -1 (b) -4 (c) u
a
Let o = 60.901 + 0.099. Let w = -62 + o. What is the third smallest value in -5, 1/2, w?
1/2
Let z(i) = i**2 - 26*i + 123. Let n be z(6). Which is the third smallest value? (a) 2/9 (b) 0.86 (c) -2/3 (d) n
b
Let r = -0.0701 + 11.0701. What is the smallest value in -4/3, -0.2, -4, r?
-4
Let g be -3 + (-50 - -44 - 39/(-5)). What is the third biggest value in g, -5, -2/11, -2/3?
g
Let z = 0.21 - -7.79. Let v = z + -36. Let p = 27.8 + v. What is the third smallest value in 5/4, 2/3, p?
5/4
Let i = 769 + -5381/7. Let q = -0.06 + 0.11. Which is the third biggest value? (a) q (b) i (c) 0.1
a
Let h = 68 + -49. Let s be ((-16)/64)/(2/(-8)). What is the smallest value in s, -0.4, h?
-0.4
Let h = 267 + -266.6. What is the third biggest value in h, -4/5, 5?
-4/5
Let v = -11 - -15. Let c = -290 - -408. Let b = -128 + c. What is the second smallest value in v, b, 0?
0
Let u = 5.4 - 5. Let q = u - 0.5. Let h = -120 + 120. Which is the second biggest value? (a) h (b) -4 (c) q
c
Let d = 138/451 - 20/41. Which is the second biggest value? (a) -0.7 (b) -29 (c) d
a
Let h be (-14)/(-12)*14/49. Which is the second biggest value? (a) 3/4 (b) 74 (c) 0.1 (d) h
a
Let r = -24.5 - -20.5. What is the third smallest value in r, 0.5, 0.1, 5/6?
0.5
Let o = -0.156 + 62.856. Let x = 63 - o. Which is the third smallest value? (a) x (b) -1/6 (c) 4/11
c
Let n be ((-6)/30)/(1/(-1)). Let g = -847/1395 - -2/279. Let m = -1.22 + -1.78. Which is the third biggest value? (a) n (b) g (c) m
c
Let i = 37.1 + -37. Let r be (-3 - (-44)/16) + 0. Let m = -55 - -113/2. Which is the third biggest value? (a) m (b) r (c) i
b
Let m = -0.455 - -0.255. Which is the biggest value? (a) -8 (b) -1 (c) m
c
Let j = -135 - -135.3. Which is the third smallest value? (a) 1 (b) j (c) -0.3 (d) -7
b
Let u = 3.8 + 14.2. Let c = u + -16.9. Let y = 0.8 - c. What is the third biggest value in 1, y, -5?
-5
Let n = 69.21 + -69. Let o = -0.939 + -2.851. Let i = o - n. Which is the biggest value? (a) i (b) 0 (c) 3
c
Let i be -5 + 0 + 15/(-3). Suppose -4*o + 4*p = 12, 0 = o + 4*o - 2*p. Let n be (-26)/24 - o/(-6). Which is the biggest value? (a) -0.5 (b) i (c) n
a
Let l = 3 - 0. Let h = 553.9 - 554. Which is the second smallest value? (a) l (b) -0.8 (c) h
c
Let g be (-32)/10 - (-2)/10. Let u = 6 - 4. Which is the third smallest value? (a) 0.1 (b) g (c) u
c
Let v = -4.1 - -1.8. Let y = v - -0.3. Which is the third biggest value? (a) 3/4 (b) -0.5 (c) y
c
Let b = 0.2 - -1.8. Let v be ((-462)/(-55) + -8)*5/4. What is the third smallest value in -3, v, b?
b
Let r = -0.016 + 72.016. Let b = r - 79. What is the third biggest value in b, 2, 0.5, 0.1?
0.1
Let v = 0.838 + -0.438. Which is the biggest value? (a) -4 (b) v (c) 1/4 (d) 8
d
Let d = 39 - 192/5. Let n be (3*(-2)/75)/((-6)/(-30)). Which is the third smallest value? (a) n (b) d (c) -2
b
Let x = 616 - 618. Suppose -3*j - 1 = -16. Which is the second smallest value? (a) x (b) j (c) 2 (d) 0.5
d
Let u(y) = -y**3 - 12*y**2 + 12*y - 8. Let j be u(-13). Let z be j/(20/3)*2/(-3). Which is the second smallest value? (a) z (b) -5 (c) 0.02 (d) -1
d
Let w(d) = d**3 - d**2 - 3*d + 1. Let j be w(-2). Let z = -0.7 + -8.3. Let n = z - -8.7. Which is the smallest value? (a) n (b) j (c) 2/7
b
Let d = -0.1 - 0. Let y = -90.8 + 91.3. Which is the second biggest value? (a) y (b) -3/2 (c) d
c
Let t(r) = r**3 - 3*r**2 + r. Let h be t(1). Let z be -2*(h + 40/44). What is the third biggest value in 0.4, -1/5, 0.2, z?
z
Let v be (4/(-3))/((-11)/((-363)/(-44))). Let g be 16/(-2)*6/8. Let w be 14/g*(-8)/84. What is the second biggest value in 0.1, v, w?
w
Let c = 10.9 + 4.1. Let h = 35.2 + -50.5. Let y = c + h. What is the third smallest value in y, 3/5, -1?
3/5
Suppose 285*t - 287*t - 22 = 0. Which is the biggest value? (a) t (b) -0.4 (c) -0.2 (d) -2
c
Let h(x) = -x**3 - 3*x**2 + 23*x + 10. Let p be h(-7). Let t be -2*1 + 5 - 155/p. What is the third biggest value in t, -2/7, 0.02?
t
Let h = -353/1260 - 1/180. Let a = 1321.5 - 1316.5. What is the biggest value in a, -4/3, h?
a
Let s = 0.78 - 98.78. Let g =
|
{
"pile_set_name": "DM Mathematics"
}
|
2*s**3*x + 338*f**2*s**3 - 2*f*s**3*x - 2*f*s**2*x - 6*s**3*x + 12*x wrt f?
6*s**3*x + 676*s**3
Find the third derivative of 2*d**5 - 80*d**4*f**3 + d**3*f + d**2*f - 847*d**2 + 2*d*f**3 wrt d.
120*d**2 - 1920*d*f**3 + 6*f
Find the third derivative of -382*d**3*n**3 - 781*d**3*n**2 + 7*d**2*n**2 - 15*n**3 wrt n.
-2292*d**3 - 90
What is the derivative of 520*b*l**3 + 5*b*l - 4*b + 76 wrt l?
1560*b*l**2 + 5*b
Find the third derivative of 9*t**5 - 50*t**4 + 24*t**2 + 2*t.
540*t**2 - 1200*t
Find the second derivative of -15*h**5 + 44*h**2 + 182*h - 2.
-300*h**3 + 88
Find the second derivative of -409*l**2 + 98*l.
-818
What is the third derivative of 2*a*p**3*w - 33*a*p**3 + a*p**2*w + 2*a*p*w*z + 4*p**3*w*z**3 + p**2*z - 4*p*z**3 wrt p?
12*a*w - 198*a + 24*w*z**3
What is the second derivative of -8*n**2*y**3 + 3*n**2 - 378*n*y**3 wrt n?
-16*y**3 + 6
Differentiate -2631*y**2 - 1775.
-5262*y
What is the third derivative of -195*z**4 - 5*z**3 + 10*z**2 + 10*z - 2?
-4680*z - 30
Find the third derivative of 23*r**4*z - 5*r**3*z + 2*r**2*z - 993*r**2 wrt r.
552*r*z - 30*z
What is the third derivative of 2*b**6 - 37*b**5 - 2*b**2 + 58*b wrt b?
240*b**3 - 2220*b**2
Find the third derivative of 4*b**3*s**4 - 354*b**3*s**2 - 17*b*s**4 + s**2 + 2 wrt s.
96*b**3*s - 408*b*s
Find the third derivative of 23804*i**3*u + 4*i**2*u + 261*u wrt i.
142824*u
What is the first derivative of -66*k*m*u**3 + 3*k*m*u**2 - 2*k*u**3 - m*u**2 + 173*m + u**3 wrt k?
-66*m*u**3 + 3*m*u**2 - 2*u**3
What is the first derivative of 4523*k*t + 40*t - 38 wrt k?
4523*t
What is the third derivative of 39*d**2*x**4 - d**2 + 5*d*x**6 + 56*d*x**2 wrt x?
936*d**2*x + 600*d*x**3
What is the first derivative of -58*g - 1652 wrt g?
-58
What is the second derivative of -156*v**4 - 216*v?
-1872*v**2
Find the first derivative of 14*i**4 + 2*i**2 + 127 wrt i.
56*i**3 + 4*i
What is the derivative of -11700*d + 20411 wrt d?
-11700
Find the second derivative of -265*m**3 - 32*m + 7.
-1590*m
Find the third derivative of -57*y**5 - 8*y**3 - 4277*y**2 wrt y.
-3420*y**2 - 48
Differentiate 58*d**3 - 3*d**2*z**2 + d - 2600*z**2 with respect to d.
174*d**2 - 6*d*z**2 + 1
What is the second derivative of 4*x**3 - 67*x**2 + 1214*x?
24*x - 134
What is the second derivative of -2*g**4 + 83*g**3 - 2*g**2 - 7490*g wrt g?
-24*g**2 + 498*g - 4
Find the first derivative of 700*d**2 - 3*d + 1249 wrt d.
1400*d - 3
Find the first derivative of 3679*p - 4536 wrt p.
3679
What is the first derivative of 9*a**2*n + 657*a**2 - 20*n**2 wrt n?
9*a**2 - 40*n
What is the second derivative of -4*h**5*x + 181*h**4*x + 4*h*x + 62*h - 2 wrt h?
-80*h**3*x + 2172*h**2*x
What is the derivative of h**3*j + 81*h**3 + 2*h - 308*j wrt h?
3*h**2*j + 243*h**2 + 2
Find the first derivative of 51*d**3 + 2*d**2 + 1.
153*d**2 + 4*d
What is the third derivative of -g**3*h + 21*g**3*u**2 + 9*g**2*h - g**2*u**2 + 3*g*h + 2*u wrt g?
-6*h + 126*u**2
What is the second derivative of -c*q**3 - 70*c*q**2 + 4*c*q - 2*c - q**3 - 6*q wrt q?
-6*c*q - 140*c - 6*q
Find the third derivative of -a*i**2*q**3 + 2*a*i*q**2 - 4*a*q**3 - 3*i**2*q**3 + i**2*q**2 + 18*i*q**2 wrt q.
-6*a*i**2 - 24*a - 18*i**2
What is the second derivative of 803*b**4 - 9*b**3*t - 1380*b*t wrt b?
9636*b**2 - 54*b*t
Find the second derivative of 6*f**3*u**3 + 6*f**2*u**3 - 51*f*u**3 wrt f.
36*f*u**3 + 12*u**3
What is the third derivative of -265*c**2*v**3 + 3*c**2*v**2 - 23*v**2 - v wrt v?
-1590*c**2
Find the second derivative of 7*d*k**2*u**2 + 2*d*k**2*z - 16*d*k*u**3 + d + 23*k**2*u*z - k*z - 14*u**2*z - 5*u wrt u.
14*d*k**2 - 96*d*k*u - 28*z
What is the second derivative of 56*f**3 + 4*f**2 + 1173*f wrt f?
336*f + 8
What is the second derivative of -398*y**4 + 1381*y?
-4776*y**2
What is the third derivative of 2068*p**3 + 211*p**2?
12408
Find the second derivative of -1701*l**2*m**2 + 4*l**2*m - l**2 - 56*l*m wrt m.
-3402*l**2
Differentiate 170*z**3 + 2*z**2 + 252 wrt z.
510*z**2 + 4*z
What is the third derivative of -1971*t**6 - 803*t**2?
-236520*t**3
What is the first derivative of -24*d*w**2*y + 182*d*y - w**2*y + 15*w**2 - 6*y wrt w?
-48*d*w*y - 2*w*y + 30*w
What is the second derivative of 98*d**
|
{
"pile_set_name": "DM Mathematics"
}
|
ve n.
-2633
Rearrange 5*l**2 + 7*l**2 + 6*l - 10*l**2 + 0*l**3 + l**3 - 6 + 15 to the form s + j*l**2 + d*l + t*l**3 and give j.
2
Express -7264 + 7264 + 35*q**2 + q in the form b*q**2 + i*q + v and give i.
1
Express -1808*y - 2 + 910*y - 7158*y**3 + 2*y**2 + 896*y in the form k + b*y + x*y**2 + q*y**3 and give q.
-7158
Express (-2 - 3 + 2)*(-8*v**2 - 5*v**2 + 2*v**2) + (0*v + 0*v - 2*v**2)*(5 - 2 - 4) - 7*v**2 + 0*v**2 - 6*v**2 in the form g + h*v + b*v**2 and give h.
0
Rearrange -53*n + 6 + 7*n**4 + 3*n**2 + 21*n**3 - 23*n**3 - n**4 + 2 + 48*n to a*n**3 + g*n**2 + q*n**4 + h + c*n and give c.
-5
Express (-254 - 229 + 13)*(-2 + 6*a + 2*a + 1) in the form w + c*a and give w.
470
Rearrange -1 + 38*h**2 + 1 + (-4 + 4 + 3*h)*(34*h + 28*h - 66*h) to the form d*h**2 + g + z*h and give d.
26
Rearrange -9*u**3 + 149 + 1057*u**4 + 2*u + 8*u**3 + 7*u**3 - 151 to j*u**2 + y + k*u**3 + b*u + o*u**4 and give o.
1057
Express 2*y - 1800 - 150 - y - 2*y as w*y + p and give w.
-1
Express (2 + k - 2)*(0 - 2 + 4 + (3 + 2 - 4)*(3 - 3 + 2) + 3 + 18 - 11)*(-25 + 42 - 28)*(-8 + 8 + 8*k)*(4 - 5 + 2) as l*k + c*k**2 + f and give c.
-1232
Rearrange -6534*d**2 + 21466*d + 21465*d - 42931*d to o*d + c + k*d**2 and give k.
-6534
Rearrange 866*r**3 - 65*r**2 + 195*r**2 - 1 - 868*r**3 to the form q*r**3 + h + k*r**2 + c*r and give k.
130
Express 69*o + 20*o - 92*o + 211 in the form d + b*o and give b.
-3
Rearrange (-3*q**2 - 2*q**2 + 6*q**2)*(-2009 - 2394 - 1326)*(-2 - 1 + 1) to h + x*q**2 + u*q and give u.
0
Express 20249 - 40486 - 2*v + 20237 + 16082*v**2 as g*v + y + a*v**2 and give g.
-2
Rearrange -34 + 124*h**2 + h + 129*h**2 + 611 - 258*h**2 + 81 to the form v + w*h**2 + a*h and give v.
658
Rearrange 2*x**3 - 3 - 6*x**2 - 228*x + 4*x**2 - 230*x + 447*x to w*x**3 + k*x + m*x**2 + q and give k.
-11
Rearrange -p - 26*p + 1 + 3*p**2 - 27*p + 663*p**3 - 665*p**3 - 16*p to the form a*p + q + g*p**2 + r*p**3 and give a.
-70
Express -1 + 1 + m**4 + (1 - 1 - 2)*(-1005*m**4 + 405*m**4 + 5 + 460*m**4) as o*m**3 + h*m**4 + t*m + c + p*m**2 and give c.
-10
Express -53*o - 7 + 39*o + 8 - 9 as k*o + j and give j.
-8
Rearrange 17 - 38*n**3 + 12*n**3 - 1191*n**2 - 17 + 23*n**3 to w*n**3 + b*n**2 + q + z*n and give w.
-3
Express (34 - 56 + 4*r - 54*r + 78)*(2*r - 4*r + 0*r) + 2*r**2 - 2*r**2 + r**2 as o*r**2 + p + i*r and give o.
101
Rearrange (a - 11*a + 0*a)*(a**2 - 10*a + 1671 - 3345 + 1672) to s*a + i + j*a**2 + r*a**3 and give s.
20
Express (8847 - 2924 - 3702)*(f - f - f) in the form u + s*f and give s.
-2221
Express -229*d**3 - 223*d**3 + d**4 + 450*d**3 - 14*d**2 + 15*d**2 - d - 431 as w*d + n*d**3 + b + i*d**4 + t*d**2 and give n.
-2
Express -3 + 19*n**3 - 21163*n**4 - 5*n + 4*n + 21131*n**4 as r*n**4 + l*n**3 + k*n**2 + c + i*n and give l.
19
Rearrange 1633*t**4 + 4210*t - 4210*t + (2*t - 2*t + 2*t**2)*(2*t**2 + 2*t**2 - 3*t**2) to the form l*t**4 + c*t + o*t**2 + h + x*t**3 and give l.
1635
Rearrange 13*s**2 - 71 - 11*s**2 - 93832*s + 2 + 93831*s to y*s + m*s**2 + b and give b.
-69
Express 133 - 1080*c - 173 - 4*c**2 + 38 as q + w*c + y*c**2 and give q.
-2
Rearrange -9*m**3 + 2*m + 0*m**3 + 6*m**2 - 15*m**2 + 13*m**2 - 1 - 3*m**2 to the form f*m**3 + k + z*m + l*m**2 and give l.
1
Rearrange 12*u + 2744*u**2 - 2*u**3 - 2742*u**2 - 21*u**3 + 2 to c*u + q + i*u**3 + m*u**2 and give c.
12
Rearrange (-4 + 0 - 6)*(-8342 - 10623 + 13511)*(-2*o**2 + 2*o**2 + o**2) to u*o**2 + k + z*o and give u.
54540
Rearrange (6 - 3 - 4 + (-3 - 1 + 7)*((-2 + 2 - 1)*(1 - 1 + 2) + 6 - 3 - 2 + 0 - 1 - 1))*(-13*g - 2518 + 4963 - 2492) to n + c*g and give c.
130
Rearrange 2*q - 19 - 32 + 196 - 76 + 9*q to the form y + t*q and give y.
69
Express -1166708 + 6343*u + 1166708 as k + w*u and give k.
0
Express 2292*f**3 - 987*f**3 - 1118*f**3 + (-3*f**2 + 10*f**2 + f**2)*(0 + 0 - f) - 4*f**3 + f**3 + 4*f**3 in the form o*f**3 + r*f + a*f**2 + x and give o.
180
Express 680 + 691 + 8026*z - 1371 as g*z + i and give g.
8026
Rearrange 1515*s + 564*s + 898*s to the form g + d*s and give d.
2977
Rearrange 49 - 9*z - 132 - 83 - 46 -
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 and give b.
0
Express -1628 + 1628 + 11*k**2 + 7*k + 4*k**2 as i*k + a*k**2 + v and give i.
7
Express -572*z + 3*z**3 - 554*z + 1140*z + (6*z**2 - z**2 - z**2)*(3*z - 4*z + 0*z) in the form b*z + v*z**3 + y + l*z**2 and give v.
-1
Express -45*f - 36*f + 83*f + 1609 in the form m + z*f and give m.
1609
Express 21 - 1 + 14*q - 19*q + 23 + 31 in the form h*q + l and give l.
74
Rearrange (-19*v**2 - 13*v**2 - 22*v**2)*(-17*v + 3*v + 4 + 4*v) to s*v + q*v**2 + l*v**3 + u and give q.
-216
Rearrange (2*n**2 + 27*n + n**2 - 20*n)*(-28*n - 96*n + 18*n) to the form o*n + m*n**3 + r + z*n**2 and give z.
-742
Rearrange 283*c**2 + 3*c - 447*c**2 + 370*c**2 to the form d*c + v + j*c**2 and give j.
206
Express -1424254 - 4*g**3 + 1425061 + 2*g**2 - 4*g**2 in the form x*g**2 + r*g**3 + d*g + f and give r.
-4
Express (2 - 4 + 0)*(2*y - 1 + 1) + (y - y - 3*y)*(2 - 2 + 2) + (219*y - 166*y + 441*y)*(-1 + 1 - 3)*(0 + 1 + 1) in the form g*y + c and give g.
-2974
Rearrange -3 + 2*z**2 + 3 + (58 + 15 + 1)*(-5*z**2 + 6 - 6) to the form h + f*z**2 + y*z and give f.
-368
Rearrange m**2 + 4*m - 25 - 211 - 10*m + 2604 to o*m + y + r*m**2 and give r.
1
Express 23*j - 450*j**3 + 892*j**3 - 444*j**3 - 6 - 16 as q*j**2 + l + y*j + h*j**3 and give y.
23
Rearrange (0 + 5 - 3)*(-67*n + 1 - 66*n + 130*n) + (5 + 0 - 3)*(0 + 0 + 2*n) + 21 - 21 - 45*n to the form g*n + t and give g.
-47
Rearrange 145 + 14533*k - 145 to w + c*k and give c.
14533
Rearrange (r + 1 - 1)*(-350 + 480 - 1429)*(2*r - 6*r + 2*r) to the form y*r**2 + m + f*r and give m.
0
Express 8*x**3 - 46*x + 9*x**2 - 8*x**2 - 3*x**4 - 3*x**2 - 30*x in the form o + m*x**4 + s*x + r*x**3 + b*x**2 and give s.
-76
Express 40*q**2 + 4 - 8*q**2 - 2*q**2 + 3*q + 0*q - 5*q**2 in the form t + y*q + l*q**2 and give l.
25
Express (2 + 0 - 4)*(239*m - 77*m - 101*m) - m + 2*m + 7*m in the form z + h*m and give h.
-114
Express -503*w**3 + 4 - 11*w + 19*w + 393*w**3 in the form k*w**2 + b*w + a + h*w**3 and give b.
8
Express (7 + 7 - 12)*(-1 + 1 - 3*h) + (-h - h + 0*h)*(603 + 281 - 226 - 81 + 378) as r*h + t and give r.
-1916
Rearrange (-1 + 1 - 2)*(562*g + 2450*g**2 - 561*g + 407*g**2) - g**2 + 0*g**2 + 2*g**2 to f + n*g**2 + w*g and give n.
-5713
Rearrange -4*k**2 - 190*k + 2*k**2 + 357*k + 1 - 2*k**2 + 3*k**3 - 176*k to the form q*k**3 + l*k + n + m*k**2 and give l.
-9
Express -8 - 12 - 2*m - 8*m**4 + m**2 + 25 - 40*m**4 + m**2 as h*m**3 + c + f*m + w*m**2 + n*m**4 and give n.
-48
Express -14010*h**3 - h + 0*h + 14441*h**3 + 2*h as u*h**3 + b*h + w + j*h**2 and give w.
0
Express (-5 + 3 + 6)*(-1 - 2*a + 1)*(1 + 0 + 5 - 14*a) - 5 + 5 - 2*a**2 + (3*a**2 - 2*a**2 - 2*a**2)*(0 + 1 + 0) as h*a + d*a**2 + v and give h.
-48
Express -3*x - 15*x**4 + 8*x + 0 + x**3 + 7*x**4 - 19*x**4 - 3 + 2*x**2 in the form i*x**4 + r*x**3 + o + j*x + p*x**2 and give i.
-27
Express (0 - 5 + 2)*(-2 - 6454*b + 9353*b + 5044*b + 3) in the form k + h*b and give k.
-3
Rearrange (-1 - q + 1)*(28470*q + 14077652*q**2 + 14523*q - 4 - 14077650*q**2 + 1) to v*q**2 + t*q**3 + h + j*q and give v.
-42993
Express 2 - 11*x**3 - 38*x**2 - 186*x**3 + 94*x**3 - 2*x + 95*x**3 as n + p*x**3 + u*x + l*x**2 and give n.
2
Express (5 - 3 - 1)*(-4 - 5*l + 4) + (-1 + 2 - 3)*(-106 - l + 106) as x + p*l and give p.
-3
Rearrange -3527*f**2 + 109*f - 3531*f**2 - 3*f + 7057*f**2 to the form i*f + l + q*f**2 and give i.
106
Rearrange 4*i - 2*i**4 - 4*i**2 + 0*i**2 - 31*i**3 - 2*i**2 + 75*i**3 - 45*i**3 + 4 to the form l*i**3 + o*i + t + r*i**4 + h*i**2 and give r.
-2
Express 40432 - 40432 - 219*i**2 + 6*i**2 - 3*i**2 - 4*i**2 + (5*i + 2*i - 5*i)*(0*i + 0*i + i) as a + p*i**2 + d*i and give p.
-218
Express -879*h + 4*h**2 - 349 + 138 + 75 + 135 as p*h + l + m*h**2 and give m.
4
Express 0*h**3 + h**3 + 2*h**4 + 421680*h - 11*h**2 - 421685*h - 3*h**2 + 1 as n*h**4 + x*h**3 + y*h + a + t*h**2 and give n.
2
Rearrange (2*l + 0*l - 4*l)*(2 + 1 + 0) - 8 + 8 - l + (4 - 1 - 1)*(0*l - 4*l + 5*l) + l + 43 - 43 to r*l + z and give r.
-4
Rearrange (4 - 4 + 3)*(2*n - n + 0*
|
{
"pile_set_name": "DM Mathematics"
}
|
hird smallest value? (a) 0 (b) 10 (c) h (d) -5
a
Suppose 8*q = -13*q - 294. Which is the second smallest value? (a) -1/8 (b) q (c) -0.2
c
Let o = 34/21 - 4/3. Let j = -521 + 2526/5. Let v = j + 16. What is the second biggest value in o, v, -1?
v
Let b = 19/8 + 9/8. What is the fourth smallest value in 4, -1/7, b, -4?
4
Let q = 43178/5 - 8636. Suppose 4*y + x = -23, 3*y - 1 = 5*y - 3*x. Which is the second smallest value? (a) -3 (b) q (c) y
a
Let a be 9/(36/40) + 0. Let r = 63 + -62.6. What is the third biggest value in r, -5, a?
-5
Let j be ((-2 - -5) + -3)/(-3). Suppose 3*k + 7 = -s - 6, j = 3*s + 5*k + 19. Suppose s*y - 3*y = 5. What is the third smallest value in -1, 1/8, y?
1/8
Let m = 0.0324 + 2.9676. Let y = 0.07 + -0.37. Which is the second biggest value? (a) -2.9 (b) m (c) y (d) -2
c
Let n = -5 - -2.2. Let f = 3.1 + n. Which is the biggest value? (a) -3 (b) -2 (c) f
c
Let o be 3/1*(-16)/6. Let i be 1 + (147/18)/(-7). Suppose -19*m = -18*m + 5. Which is the third biggest value? (a) o (b) i (c) m
a
Let t = 24093.949 + -24083. Let n = 0.051 + t. Let i(z) = -z + 13. Let w be i(10). Which is the smallest value? (a) w (b) n (c) 0
c
Let f = 3494.98 + -3495. Suppose 5*n - 12 = 3*n. What is the biggest value in f, -0.3, n, 0?
n
Let a = -0.2 + 1. What is the third biggest value in 2/19, -1/2, a, -2?
-1/2
Let q be (91/21 - 5)*9/(-2). Let k be (1/(q/(24/(-20))))/1. What is the smallest value in -1/3, k, 1, -4?
-4
Let n = -349.6 - -312. Let k = n - -38. Let j = -0.68 + 0.6. Which is the second smallest value? (a) 0.2 (b) k (c) j
a
Let y = 5.6 - 2.3. Let j = 2.8 - y. Which is the third biggest value? (a) j (b) -0.1 (c) 0.12
a
Let m = -1460 + 11683/8. Which is the second smallest value? (a) m (b) 0.3 (c) 6/17
c
Let u = -0.7 - -0.3. What is the second smallest value in -19, u, 3?
u
Let c = 3 - 4. Let h be ((1 - c)/8)/1. Let i = 334/3 + -112. What is the second biggest value in 1, i, h?
h
Let z = -0.08 - -0.19. Let i = 10.89 + z. Let v = i + -11.5. Which is the biggest value? (a) 0.5 (b) v (c) -6
a
Let t = 74 - 73.8. Let o be 40/(-25)*30/(-4). Which is the third smallest value? (a) t (b) o (c) -5
b
Let d = 0.46 - -3.54. What is the biggest value in 3, d, 1, 1/9?
d
Let o = 8 + 23. Let x = -30.9 + o. What is the fourth smallest value in x, 4, 1, 2?
4
Let z = -0.667 - -0.767. Which is the fourth biggest value? (a) -3/5 (b) -4 (c) z (d) 106
b
Let q = -10/117 - -284/585. Let f be 3/(-15) - 2/(-20). Which is the second biggest value? (a) -6 (b) 0.1 (c) q (d) f
b
Let g = -4 - -6. Let i = 4759 + -42833/9. Which is the second smallest value? (a) -2.2 (b) i (c) g
b
Let v = 245/348 - -4/87. Let c = -8 - -9. Let x = 0.76 - 0.96. What is the third smallest value in c, v, x?
c
Let w = 0.4 - 0.3. Suppose -6*a + 16 = -2*a. Let l be ((-18)/105)/(a/20). What is the second smallest value in l, w, 2/9?
w
Let r(u) = 16*u - 27*u**3 - 24*u**3 + 76*u**3 + 15*u**2 - 26*u**3 + 5. Let l be r(16). Which is the smallest value? (a) l (b) 1/7 (c) 4
b
Let y = 193.5 + -193. What is the second smallest value in 2, y, -4?
y
Let l = 2/85 + -7/85. Let j = -1738 - -1737. Which is the third biggest value? (a) j (b) l (c) -4
c
Let u = 2.5 + -2. Let n(m) = m**2 + 10*m + 12. Let h be n(-6). Let s be 7/((-21)/(-2))*3/h. Which is the third smallest value? (a) 0.2 (b) s (c) u
c
Let q = 57.4 + -57. Let t = 0.6 + -2.6. Let m = t - -4. Which is the second biggest value? (a) -1 (b) q (c) m
b
Let j = -22 + 20. Let w be j/24 + 3/9. What is the third biggest value in -0.1, 0.5, w?
-0.1
Let h be (-6)/(-4)*(-11)/((-2508)/(-16)). Which is the second smallest value? (a) h (b) 2 (c) 1/6
c
Let h(g) = g**2 - 11*g + 23. Let n be h(7). Let k be 3/n + 77/245. Which is the smallest value? (a) k (b) -1/4 (c) -1
c
Let h = -0.04 - 0.04. Let m = 0.12 - h. Let d = -578/429 - -2/143. Which is the third smallest value? (a) m (b) -1 (c) d
a
Let w be ((-84)/(-10))/(12/40). Let p be (-8)/w + (-16)/(-7). Suppose -13 + 1 = p*z. Which is the smallest value? (a) -4 (b) z (c) -2
b
Let s = 1.57 + -1.5. Let p = 3.07 - s. Let q be -4 + (-37)/(-6) - 2. Which is the second smallest value? (a) q (b) p (c) 1
c
Let q = -0.2 + -2.8. Let y = -5 - q. Let v = 7367 + -7362. What is the biggest value in y, v, 0.4?
v
Suppose -n + 2 = 22. Let w = n - -20. Suppose 3*g + 16 = u - 0*u, 3*u + 5*g + 22 = w. What is the second smallest value in u, -0.5, 5?
|
{
"pile_set_name": "DM Mathematics"
}
|
v = x - 1.1. Let o = v - -0.5. What is the second smallest value in -1, -2/5, o?
o
Let p be ((-4)/(-5))/(14/(-5)). Which is the smallest value? (a) 1 (b) -0.5 (c) p (d) -4
d
Let l = -1.34 - 0.66. Which is the second biggest value? (a) 1 (b) -0.5 (c) l
b
Let f = 102 - 101.5. Which is the smallest value? (a) f (b) -0.11 (c) 4 (d) 2
b
Let s = -2/345 + 236/1035. Let n = -15 - -11. Which is the biggest value? (a) n (b) s (c) -1/9
b
Let y = -0.1 - -0.3. Let v = -3 - -4. Let a = v - 2. What is the second smallest value in 3, y, a?
y
Let c = -17.5 + 18. What is the third smallest value in c, 0.02, -0.1?
c
Let l = 1 + -0.7. Let j be ((-9)/(-6)*-2)/((-3)/(-2)). What is the third biggest value in l, 3, j?
j
Let w be (-8)/3 + (-8)/(-12). Let m be 2 + w + 2/1. Suppose 0 = m*n - 7 + 1. Which is the third smallest value? (a) -5 (b) n (c) 4
c
Let o = 2.68 - 2.7. Let s = o + -0.08. What is the smallest value in -1/4, 5, s?
-1/4
Let r = 254/7 - 36. Which is the third biggest value? (a) r (b) -0.4 (c) -4
c
Let a = 1.82 + -2. Let q = a - 0.02. What is the second biggest value in 6, q, 4?
4
Let o = -0.25 - 0. Let d = -0.05 + o. Let m be 2/7 - 16/42. Which is the second smallest value? (a) d (b) m (c) 1
b
Suppose 24 = u + 7*u. Which is the second biggest value? (a) -1 (b) 0.1 (c) u
b
Let y = -30 + 33. Let r = 0 - 3/4. Suppose -4*m = 2*j - 10 - 4, 3*m + j = 8. Which is the third biggest value? (a) m (b) r (c) y
b
Suppose 0 = 2*s + 5*r - 16, -2*s = -5*r + 2 + 2. Suppose -s*l + 12 + 3 = 0. Suppose 9 = l*f - 1. Which is the second biggest value? (a) 0.3 (b) 3 (c) f
c
Let j = 21 - 34. Let c = j + 13.07. Let q = -0.13 - c. What is the smallest value in 0, q, -2/7?
-2/7
Let h = 12.1 - 0.1. What is the second biggest value in h, 0, -4?
0
Suppose 0 = 3*v - 3 - 6. Let p be v*(-2 + (-2)/(-3)). Which is the third biggest value? (a) -5 (b) p (c) -3/5
a
Let p(a) = -a**3 + 5*a**2 + 4*a + 4. Let n be p(6). Let m be (-20)/119 + n/(-28). What is the second biggest value in m, -5, -1/4?
-1/4
Let z = 0.08 + -0.48. What is the second biggest value in 4, z, 15/7?
15/7
Let i = -0.02 + 0.02. Let p = -3 - i. Which is the smallest value? (a) -0.4 (b) -5 (c) p
b
Let f = 18.201 - 0.141. Let o = 18 - f. Which is the second biggest value? (a) o (b) 0 (c) 2
b
Let n = 1.9 - 2.2. Let t = 0.3 - -0.2. Which is the third smallest value? (a) n (b) -1/6 (c) t
c
Let x = 13.9 + -13. Let k = x - 0.4. Let l = 0.3 - k. Which is the smallest value? (a) 0.1 (b) 2/7 (c) l
c
Let r be (-4)/(20/3) + 1. Let d(y) = 2*y + 13. Let p be d(-6). Which is the second biggest value? (a) 2 (b) p (c) r
b
Let c = 1.9 + 2.1. What is the third biggest value in -5, 0.1, c?
-5
Let g = -12 + 8. Which is the third biggest value? (a) g (b) -0.02 (c) -1
a
Let o = 32 - 32. What is the second biggest value in o, -1, -5, -0.1?
-0.1
Suppose -x - 3*x + 120 = 0. Suppose 2*c - x = -3*c - 2*y, -4*y = -20. What is the second biggest value in c, 0, 1?
1
Let j = -4 + 1. Let y be (-2)/(-7) + 66/14. Which is the third biggest value? (a) y (b) 2 (c) j
c
Let k = 14/33 + -1/3. Which is the third biggest value? (a) k (b) -4 (c) -0.3 (d) 0.2
c
Let z = -150 + 149. Which is the second smallest value? (a) z (b) -0.2 (c) -3
a
Let m = -0.037 + -2.963. Which is the biggest value? (a) -4 (b) 20/7 (c) m
b
Let k = -5.214 - -0.234. Let a = -2.02 - -2. Let s = k + a. What is the biggest value in -2, s, 3?
3
Let j(o) = o**2 + 5*o - 1. Let y be j(-6). Which is the second smallest value? (a) -1 (b) y (c) 4
c
Let r = 6 - 5.97. Let f = r + -1.03. What is the smallest value in -2, -0.2, f?
-2
Suppose 3 = -2*i + 2*x + 5, -3*x - 9 = 3*i. Let g be i/4*72/27. Let y = -8 - -12. Which is the third biggest value? (a) 3 (b) y (c) g
c
Let w be 1*((-32)/(-12) + (-2 - 0)). Which is the third smallest value? (a) 42 (b) 4 (c) w
a
Let o = -5 + 3. Let d = -0.4 - 2.6. Which is the smallest value? (a) 2/3 (b) d (c) o
b
Let t = 0.343 + -0.043. What is the smallest value in t, -0.2, -1?
-1
Let z = -4 - -3.5. Let q = -0.08 - -0.05. Let s = q + 5.03. What is the smallest value in 4, z, s?
z
Let s be (2/(-6))/((-2)/3). Which is the second biggest value? (a) -0.5 (b) -0.012 (c) s
b
Let f be 3/(-48)*-2*3. Let l = -0.62 + 0.02. Which is the biggest value? (a) -0.5 (b) l (c) f
c
Let t = 0 - 1. Let j = -2 - t. Let w = j - 1. What is the smallest value in -4, 0, w?
-4
Let s = -
|
{
"pile_set_name": "DM Mathematics"
}
|
981, 2271, 4149, 6657, 9837, 13731, 18381?
7*x**3 + 231*x**2 + 2*x - 3
What is the f'th term of -42, -209, -606, -1347, -2546, -4317, -6774?
-19*f**3 - f**2 - 31*f + 9
What is the n'th term of -44, -85, -116, -137, -148?
5*n**2 - 56*n + 7
What is the x'th term of -233956, -233953, -233948, -233941, -233932?
x**2 - 233957
What is the k'th term of -5775, -11557, -17339, -23121, -28903, -34685?
-5782*k + 7
What is the y'th term of -19936, -39873, -59810, -79747?
-19937*y + 1
What is the h'th term of 481, 458, 389, 250, 17, -334?
-4*h**3 + h**2 + 2*h + 482
What is the c'th term of 397, 274, 159, 52?
4*c**2 - 135*c + 528
What is the o'th term of -2682, -10739, -24170, -42975, -67154, -96707, -131634?
-2687*o**2 + 4*o + 1
What is the q'th term of -60, -143, -220, -285, -332, -355, -348, -305?
q**3 - 3*q**2 - 81*q + 23
What is the j'th term of 31805, 63622, 95439, 127256?
31817*j - 12
What is the d'th term of 6, 45, 116, 219, 354, 521?
16*d**2 - 9*d - 1
What is the l'th term of -38738, -77547, -116344, -155123, -193878, -232603, -271292, -309939?
l**3 - 38816*l + 77
What is the c'th term of 1459, 2086, 2711, 3334?
-c**2 + 630*c + 830
What is the r'th term of -1878, -7436, -16700, -29670, -46346, -66728?
-1853*r**2 + r - 26
What is the g'th term of 4875, 9754, 14633, 19512, 24391?
4879*g - 4
What is the d'th term of 103, 183, 241, 277, 291, 283, 253?
-11*d**2 + 113*d + 1
What is the f'th term of 12918, 25830, 38742?
12912*f + 6
What is the w'th term of -68482, -273892, -616244, -1095538, -1711774?
-68471*w**2 + 3*w - 14
What is the f'th term of 448, 425, 330, 127, -220?
-6*f**3 + 19*f + 435
What is the p'th term of -112, -131, -162, -205?
-6*p**2 - p - 105
What is the y'th term of -287, -87, 133, 379, 657, 973, 1333, 1743?
y**3 + 4*y**2 + 181*y - 473
What is the u'th term of 18374, 36732, 55090, 73448?
18358*u + 16
What is the l'th term of -153335, -153323, -153311?
12*l - 153347
What is the c'th term of 243, 270, 297, 324, 351, 378?
27*c + 216
What is the p'th term of -500780, -500779, -500778?
p - 500781
What is the m'th term of -627921, -1255839, -1883757, -2511675, -3139593?
-627918*m - 3
What is the y'th term of -2365, -2386, -2409, -2434?
-y**2 - 18*y - 2346
What is the r'th term of -2875, -23057, -77837, -184513, -360383, -622745?
-2883*r**3 - r**2 + 2*r + 7
What is the h'th term of -945268, -945267, -945266, -945265, -945264?
h - 945269
What is the q'th term of -1357, -1361, -1355, -1333, -1289, -1217, -1111, -965?
q**3 - q**2 - 8*q - 1349
What is the k'th term of 65199, 65198, 65197, 65196?
-k + 65200
What is the l'th term of 10343, 20682, 31017, 41348, 51675?
-2*l**2 + 10345*l
What is the f'th term of -79666, -159312, -238954, -318592?
2*f**2 - 79652*f - 16
What is the h'th term of -1218, -4774, -10708, -19026, -29734, -42838, -58344, -76258?
-h**3 - 1183*h**2 - 34
What is the y'th term of -3974, -3985, -3994, -4001, -4006, -4009?
y**2 - 14*y - 3961
What is the i'th term of 1306, 989, 462, -275, -1222?
-105*i**2 - 2*i + 1413
What is the w'th term of -99195, -99204, -99217, -99234, -99255?
-2*w**2 - 3*w - 99190
What is the m'th term of 1616, 3220, 4824, 6428, 8032, 9636?
1604*m + 12
What is the r'th term of 128, 624, 1450, 2606, 4092, 5908, 8054?
165*r**2 + r - 38
What is the z'th term of 10771, 21881, 32989, 44095?
-z**2 + 11113*z - 341
What is the c'th term of -2662, -2644, -2626, -2608?
18*c - 2680
What is the f'th term of 4521, 9072, 13655, 18270, 22917, 27596?
16*f**2 + 4503*f + 2
What is the v'th term of -417, -833, -1235, -1623, -1997, -2357, -2703?
7*v**2 - 437*v + 13
What is the n'th term of 1375, 2329, 3283, 4237?
954*n + 421
What is the x'th term of -223683, -223684, -223685, -223686, -223687?
-x - 223682
What is the u'th term of 2429449, 4858900, 7288351, 9717802?
2429451*u - 2
What is the j'th term of -218, -1692, -5696, -13496, -26358, -45548?
-211*j**3 + j**2 - 8
What is the t'th term of 7917, 15856, 23841, 31896, 40045, 48312?
4*t**3 - t**2 + 7914*t
What is the t'th term of 3042061, 3042059, 3042055, 3042049, 3042041?
-t**2 + t + 3042061
What is the n'th term of 84, 212, 344, 480, 620?
2*n**2 + 122*n - 40
What is the h'th term of -215285, -430576, -645867?
-215291*h + 6
What is the s'th term of 3383, 4912, 6441, 7970, 9499, 11028?
1529*s + 1854
What is the p'th term of 2087, 8357, 18799, 33407, 52175, 750
|
{
"pile_set_name": "DM Mathematics"
}
|
n - 3 = a for v.
-4
Let s = -435 + 597. Let p = s - 160. Solve 3*w + 1 - 5 = y, 0 = 3*y + w + p for y.
-1
Let x = -108 + 111. Suppose -x*b = -9, 26*r - 2*b - 10 = 22*r. Solve -1 = g - s, 3*s = -r*g + 4*s - 10 for g.
-3
Let p = 126 - 111. Let b = p + -11. Solve -3*v + 11 = -4*c - c, -b*v + 2*c = 4 for v.
-3
Let n = -506 + 509. Let w be 6*(-5)/(-40)*(1 + n). Solve 2*b + 3*s + w = 5*b, 0 = 2*b + 5*s + 19 for b.
-2
Suppose 5*q - 6*q = 7*q. Suppose -5*a - 2*r = -24, -5*a + 2*r + 9 + 7 = q. Solve -a = -s - 2*v - 3*v, -3*s - 3*v = -12 for s.
4
Suppose 1684*f = 1685*f. Suppose 0 = -5*w - 2*y + 98, -w - 4*y - 38 + 54 = f. Let u = 11 + -5. Solve -u*g - 2*b - w = -4*g, 2*b - 15 = 5*g for g.
-5
Suppose -3*d = 5*l - 70, 4*l = d - 0*d + 39. Suppose 1 - 1 = -l*s. Solve s = -v - 3*v + 8, 0 = 3*t - 3*v + 18 for t.
-4
Let j = 21 - 13. Suppose -10*v + 6*v + j = 0. Suppose 0 = -3*u - 45 + 51. Solve k - 5*d - 19 = 0, u*k + v*d = 6*d + 14 for k.
-1
Let t(x) = -5*x - 14 + 25 - 1 - x**3 - 7*x**2. Let r be t(-6). Suppose -r*s + 14 = -6. Solve 13 = -s*h + 3*f - 6*f, -2*h - 2*f = 2 for h.
-5
Let t(m) = -3 + m**3 - 8*m**2 + 5*m - 13*m - 1. Let h be t(9). Suppose -2*z = -g - 3, -1 = 3*z - 4*g + 2. Solve -h*o - 4 = 4*i + 9, -z*i - 7 = o for o.
-1
Suppose 68 = 89*z - 40*z - 79. Solve -13 = z*s + 2*u, 4*u - 11 = -5*s - 34 for s.
-3
Let g be (-25 + 3)/(-88) - 2/(-2 + 10). Solve g = -4*d - 4, 0 = 5*f - 5*d - 5 + 25 for f.
-5
Let x be 4/30*(-564 + 579). Let l = 4 + -9. Let c = l + 7. Solve -5*y - 6 = v - 0, -c*y = -x*v + 12 for y.
-2
Suppose -4*o = -3*o - 247 + 243. Solve -4*j = 3*q + 18, 6*q - o*q + 5*j + 19 = 0 for q.
-2
Let w be (28 + -30)*5/(-2). Solve 7*i = w*i + 2*d - 4, -i + 2*d = 5 for i.
1
Let i(z) = -26*z + 193. Let s be i(8). Let n be s/(-18) + 2/12. Solve -u = -2*v - 9, -4*u + u - n = v for u.
1
Let w(c) = c**3 - 5*c**2 + 3*c - 7. Let b be w(5). Suppose b*r = 26*r - 234. Solve 4*d + 0*k - k - r = 0, 0 = k + 5 for d.
2
Suppose 3*u - 2 = 2*c, 2*u + 41 = -c + 54. Suppose a = c*m - 23, -6*a + 4*a - 2*m + 14 = 0. Solve 0*j = 4*w - 3*j + 13, 6 = -a*w + 2*j for w.
-4
Let f(r) = -r**2 + 20*r + 3. Let d(x) = -2*x**2 - 152*x + 0 - 6 - 21*x**3 + 145*x. Let i be d(-1). Let h be f(i). Solve h*y = 3*c + 6, 4*y - c - 6 = -1 for y.
1
Suppose -4086 = -7*v - 4058. Solve 3*c = a - v, c = 4*a - 9*a - 28 for c.
-3
Let l be ((-7 + 10)*1)/(3/4). Solve 64 = 4*t + 72, -3*r + 14 = -l*t for r.
2
Suppose -111 = -582*x + 559*x - 19. Solve m = -k + 10, 7*k = x*k + 15 for m.
5
Suppose -25*j + 28*j + 2*n = 16, 0 = 2*j - 4*n. Solve 36*u - 40*u - j*h = 16, 2*h + 10 = 0 for u.
1
Let y be (-27)/(-5) + 2/(-5). Suppose 0 = -459*s - 797*s - 296*s + 7760. Solve 0 = -2*g - g - 4*h + 7, 0 = s*g - y*h - 35 for g.
5
Suppose 0 = -15*x + 347 - 119 - 153. Let u = -8 + 13. Solve -u = 4*t + 5*r, 5*r = x*t + 40 - 0 for t.
-5
Let i(h) = 7*h**2 + 4 + h**3 - 13 - 10*h + 0*h**3. Let b be i(-8). Let k(g) = g**2 + 2*g. Let j be k(-3). Solve -4*y = -j*d + b*d - 24, 3*d - 5*y + 6 = 0 for d.
3
Suppose -2*b + 42 = -0*b. Let a(u) = -115*u - 1033. Let y be a(-9). Solve -2*i - p - 9 = -0*i, y*i = -5*p - b for i.
-3
Let z be (18/(-36))/((-287)/(-42) + -7). Let c be 24/10 - 8/20. Let d = 5 - c. Solve -3 - 1 = d*b + m, -z*m - 3 = 0 for b.
-1
Suppose 12 = 4*s, 0 = -5*m + s + s + 14. Let t = 27932 + -27932. Solve -m*x - 5 = p, t*x + 10 = -5*x for p.
3
Suppose -18 = -5*b + 3*l, -b + 4*l = -29 + 22. Solve -4*o = -3*c - 5, 15*c = 13*c + b*o - 4 for c.
1
Let b = 465 - 475. Let p be (b/45)/(9/(-81)). Solve -5*o - 3 = -4*u + 9, 2*u + p*o = -12 for u.
-2
Let y be (-12)/(-10)*(-210)/(-28). Let j be (25 - 1)/(y + -7). Solve 2*f = -v - 8, 5*v - 5*f = j + 23 for v.
2
Let r be (36/(-27))/((-7)/42). Solve -4*n - 5*z + 29 = 0, -r*n - 3*z = -9*n - 14 for n.
1
Let j be 24/44 + 1008/(-33). Let l be 1/10 - 147/j. Solve 4*w - 12 = -2*i - 3*i, 6 = 2*w + l*i for w.
3
Suppose 0 = 4*y - 223 - 89. Let b = -39 + y. Suppose 0 = -n -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2 - (sqrt(5) - (sqrt(20)/sqrt(4) + 5)))**2.
98*sqrt(5) + 294
Simplify (6*(-4*sqrt(33)/sqrt(3) - -2*sqrt(22)/sqrt(2)))**2.
1584
Simplify sqrt(45)/((sqrt(1296)*-4 - sqrt(1296)) + sqrt(1296))*-2.
sqrt(5)/24
Simplify (-3 + 1 + 0 + sqrt(7))**2.
-4*sqrt(7) + 11
Simplify 0 + (sqrt(176))**2 - (sqrt(11) + (sqrt(44) + -3)**2).
11*sqrt(11) + 123
Simplify (sqrt(2) - (sqrt(2) + sqrt(4)/sqrt(2))) + 1 - (sqrt(12)/sqrt(6) + -4).
-2*sqrt(2) + 5
Simplify (sqrt(88) + sqrt(88)*2*-2)/(sqrt(8) + (sqrt(64)*3 - sqrt(64))/sqrt(8)).
-sqrt(11)
Simplify (-3*sqrt(133)*1 - sqrt(133))/sqrt(7).
-4*sqrt(19)
Simplify (sqrt(192) + 3)**2.
48*sqrt(3) + 201
Simplify (sqrt(612)*-2)**2 - sqrt(425)*-1.
5*sqrt(17) + 2448
Simplify (sqrt(228)/(-3*-2*sqrt(12) - sqrt(12)))**2.
19/25
Simplify sqrt(2) + -2*(1 + sqrt(2)) - ((sqrt(24) - sqrt(600))/sqrt(12))**2.
-34 - sqrt(2)
Simplify 1*(sqrt(7) + 0 + sqrt(700)) + 0.
11*sqrt(7)
Simplify -5 + 1 + (sqrt(468) + sqrt(468)*-2)**2 + sqrt(468) + (1*1*sqrt(468) + sqrt(468) + sqrt(468) - sqrt(468))**2.
6*sqrt(13) + 2336
Simplify -1*(sqrt(24)/(sqrt(12)*-3 - sqrt(12)) - sqrt(2))*1.
5*sqrt(2)/4
Simplify (sqrt(475) - ((sqrt(475)*-1)**2 + -5)) + -2.
-472 + 5*sqrt(19)
Simplify 3 + (1*sqrt(104) + sqrt(104) + sqrt(104))/sqrt(8) + 4.
7 + 3*sqrt(13)
Simplify 6*6*sqrt(300)*-3.
-1080*sqrt(3)
Simplify sqrt(2057) + -3*sqrt(2057) - (sqrt(17) + sqrt(2057) + sqrt(17))*-4.
30*sqrt(17)
Simplify ((sqrt(95)*2*-1)/sqrt(5))**2 + 2.
78
Simplify (-3*sqrt(14)*-1)/(-2*sqrt(112)).
-3*sqrt(2)/8
Simplify sqrt(51)/(sqrt(3) - 1*sqrt(27)).
-sqrt(17)/2
Simplify (2*sqrt(84)/sqrt(4))/(sqrt(7) - (sqrt(7) + sqrt(7) + (sqrt(35) - sqrt(175)/sqrt(5))/sqrt(5))).
-2*sqrt(3)
Simplify ((((sqrt(2) - 3*sqrt(2)*4) + sqrt(2) - sqrt(2)) + sqrt(2))*-4)**2.
3200
Simplify (sqrt(40)/sqrt(72) + sqrt(5) - (1 + sqrt(20)))**2*5.
20*sqrt(5)/3 + 145/9
Simplify (sqrt(240)/(sqrt(6) - sqrt(96)))/(-1*sqrt(800)).
sqrt(5)/30
Simplify 1*(sqrt(108) + -3 + sqrt(108))**2 + 5.
-72*sqrt(3) + 446
Simplify ((3*sqrt(112))**2 + sqrt(7))*5.
5*sqrt(7) + 5040
Simplify ((sqrt(204) + (-2*1*sqrt(204) - sqrt(204)) + sqrt(204))/(-2*sqrt(1452)))**2.
17/484
Simplify sqrt(27)/sqrt(9)*-4 - ((sqrt(15)/sqrt(5))**2*-4 - sqrt(3)).
-3*sqrt(3) + 12
Simplify (sqrt(76) + (1*sqrt(76) + sqrt(76))*6 + sqrt(76))/((sqrt(132)/sqrt(3))/sqrt(11)).
14*sqrt(19)
Simplify sqrt(66)/(sqrt(12)/sqrt(8)).
2*sqrt(11)
Simplify (-6*sqrt(60)*-1)/sqrt(12).
6*sqrt(5)
Simplify (sqrt(1008) + sqrt(21)/sqrt(3) + -1 + -3)**2.
-104*sqrt(7) + 1199
Simplify (sqrt(832) - (sqrt(832) + 1 - sqrt(832))**2) + -4.
-5 + 8*sqrt(13)
Simplify sqrt(30)/((sqrt(90)*2)/sqrt(9)).
sqrt(3)/2
Simplify 5*(3 + sqrt(13) + -1 + sqrt(13))*-3.
-30*sqrt(13) - 30
Simplify 2*(-3 + sqrt(1053) + 1 - (sqrt(1053) - -3*1*sqrt(1053))).
-54*sqrt(13) - 4
Simplify sqrt(91)/(sqrt(7) - (sqrt(7) + (sqrt(7) + sqrt(14)/sqrt(2))*2)).
-sqrt(13)/4
Simplify ((sqrt(1944)*2 - sqrt(1944) - sqrt(1944) - sqrt(1944)) + sqrt(1944))/sqrt(12).
0
Simplify sqrt(63) + 1 + sqrt(63) + (sqrt(14) + (sqrt(56) - sqrt(14)) - sqrt(14))/sqrt(2).
1 + 7*sqrt(7)
Simplify 1*(sqrt(2) + -1 + sqrt(288) - 2*sqrt(162)).
-5*sqrt(2) - 1
Simplify (sqrt(156)/((1*sqrt(3) - sqrt(3)) + sqrt(3)))/(sqrt(36)*5 + sqrt(4)).
sqrt(13)/16
Simplify ((sqrt(11) - -2*sqrt(11)*3)*1)**2.
539
Simplify (sqrt(11) - (sqrt(88)*-2)/sqrt(8))**2 + (0 + sqrt(11) + 4)**2.
8*sqrt(11) + 126
Simplify sqrt(57)/(sqrt(192)*-1).
-sqrt(19)/8
Simplify (sqrt(4400)*1)/(sqrt(4) - -1*sqrt(4)*-2).
-10*sqrt(11)
Simplify ((sqrt(234)*-2)/sqrt(9))/(sqrt(2) + sqrt(32)).
-2*sqrt(13)/5
Simplify -1*(sqrt(143)/(sqrt(11)*1) - sqrt(13)).
0
Simplify (0 + 1*sqrt(425) + -5*(sqrt(425) + 1*sqrt(425)))**2 + -1.
34424
Simplify ((-3*sqrt(160) + sqrt(160) + sqrt(160))/sqrt(10) + sqrt(16))/sqrt(8).
0
Simplify (5*4*sqrt(320) + 1)**2.
320*sqrt(5) + 128001
Simplify 0 + 1*(0 + sqrt(325)).
5*sqrt(13)
Simplify sqrt(10)/(sqrt(5) - 1*sqrt(45)).
-sqrt(2)/2
Simplify 6*((-1*sqrt(125))**2 - sqrt(40)/(sqrt(8) + sqrt(200))).
-sqrt(5) + 750
Simplify (sqrt(88)*1)/sqrt(2) + 4.
4 + 2*sqrt(11)
Simplify -2*(sqrt(14)*-1)/sqrt(7).
2*sqrt(2)
Simplify (-5*(sqrt(117) - (sqrt(117) + -5))*-6)**2.
22500
Simplify (sqrt(30)/sqrt(24) - (sqrt(5) + (sqrt(5) - ((sqrt(105)/sqrt(3))/sqrt(7))**2) + sqrt(5)))*2.
-5*sqrt(5) + 10
Simplify sqrt(132)/(sqrt(72)/sqrt(216)).
6*sqrt(11)
Simplify (-1*sqrt(704)*-4*4)**2.
180224
Simplify 5*sqrt(26)/(sqrt(6)/sqrt(3)) + (5 + sqrt(208)*-1)**2.
-35*sqrt(13) + 233
Simplify sqrt(66)/(-5*sqrt(24)).
-sqrt(11)/10
Simplify ((sqrt(35)/sqrt(5)*5)**2 - sqrt(7)
|
{
"pile_set_name": "DM Mathematics"
}
|
-9331 (base 10) to base 4
-2101303
What is -b4649 (base 14) in base 13?
-122b98
What is 4723065 (base 8) in base 13?
361195
Convert 4425a8 (base 12) to base 13.
2bb9a1
10220210110 (base 3) to base 5
4431444
-333201312103 (base 4) to base 15
-16de67a
-35a76d (base 15) to base 13
-6bb35a
Convert 7575c (base 13) to base 16.
33ccc
Convert -3002310 (base 5) to base 13.
-18642
-2108a8 (base 12) to base 6
-15045532
Convert -1cd5ca (base 16) to base 14.
-372974
Convert -521b23 (base 12) to base 4.
-10322230023
Convert -70c0 (base 14) to base 11.
-13615
What is -184755 (base 14) in base 8?
-3212747
What is -2150a (base 13) in base 6?
-1142330
What is -2112561 (base 8) in base 7?
-4532034
What is 27725182 (base 9) in base 15?
130e145
-163776 (base 8) to base 2
-1110011111111110
What is -6bc92c (base 13) in base 2?
-1001110011011001111100
What is 1736728 (base 10) in base 16?
1a8018
Convert 2a665 (base 15) to base 10.
136445
What is 10001100011100011101 (base 2) in base 13?
171abb
150558 (base 11) to base 3
102221020220
21cb9 (base 16) to base 15
2b035
What is 1100100011101111111 (base 2) in base 16?
6477f
-1101111001100101001011 (base 2) to base 14
-6abc5d
-70632 (base 16) to base 2
-1110000011000110010
-17435147 (base 8) to base 14
-78230b
-2323 (base 8) to base 3
-1200202
Convert 610024a (base 11) to base 13.
230a74b
Convert -110010100101100110 (base 2) to base 8.
-624546
Convert 2253130 (base 8) to base 4.
2111121120
What is 1101111111000000010110 (base 2) in base 16?
37f016
What is 16005262 (base 7) in base 12?
61a1ba
What is -772065 (base 8) in base 5?
-31243000
167094 (base 14) to base 16
c04ca
25541 (base 10) to base 13
b819
-518946 (base 10) to base 15
-a3b66
Convert 120121110010 (base 3) to base 6.
10330220
-185135 (base 9) to base 16
-1c25f
What is -13366261 (base 9) in base 5?
-3142122041
What is -71b637 (base 14) in base 6?
-214104425
3762150 (base 9) to base 5
1011023431
Convert 1716875 (base 9) to base 6.
32255535
Convert -104221040 (base 5) to base 4.
-1300133202
-125200633 (base 7) to base 3
-120010011122221
Convert 10011010001110111000000 (base 2) to base 8.
23216700
40486 (base 12) to base 7
465540
What is -122101100121221 (base 3) in base 2?
-100011001111011101001001
3247456 (base 9) to base 8
6516417
100110100001001000 (base 2) to base 3
22000102021
Convert 1a7d69 (base 15) to base 13.
363279
What is 12212545 (base 6) in base 4?
1133121101
What is 1021202011 (base 3) in base 2?
110001011110010
Convert -3201224002 (base 5) to base 6.
-354501004
Convert -10233010034 (base 5) to base 8.
-51235741
3002320312 (base 4) to base 15
10b7c7
What is -948b14 (base 14) in base 15?
-691d21
Convert 100000020012121 (base 3) to base 7.
55456465
Convert -231313421 (base 5) to base 6.
-34154504
Convert 117278 (base 11) to base 4.
231033320
What is 2c702 (base 14) in base 12?
54392
Convert -402c (base 14) to base 5.
-323031
Convert -33603535 (base 7) to base 8.
-13122226
What is -72938a (base 12) in base 13?
-4b0034
What is 71bbb8 (base 14) in base 11?
218a898
996030 (base 11) to base 12
647853
Convert 48055 (base 12) to base 6.
2024145
Convert -201012101220111 (base 3) to base 11.
-583a252
Convert -758a3b (base 12) to base 3.
-10111112120002
Convert -2050045 (base 6) to base 2.
-11000010111101101
What is 10001011100001001110 (base 2) in base 5?
121241340
Convert 3414020 (base 6) to base 13.
60b16
What is -5219b1 (base 16) in base 12?
-1975895
-13272492 (base 10) to base 6
-1152250420
966a8 (base 11) to base 13
4bcc4
What is -514028 (base 9) in base 16?
-4a66c
What is 404142433 (base 5) in base 4?
12032030101
1222110 (base 8) to base 9
563208
What is -1213030002 (base 4) in base 9?
-713700
Convert 40001340 (base 5) to base 15.
629d0
-1b7461a (base 12) to base 15
-7b10e1
What is -27947 (base 14) in base 3?
-11222020201
What is 12010101121212 (base 3) in base 11?
15a0643
Convert -2012212211 (base 4) to base 7.
-4454246
What is 57585 (base 14) in base 2?
110011110110100001
Convert -21140021 (base 5) to base 4.
-223111213
Convert -2252144 (base 7) to base 2.
-1000100110001010100
Convert -14304112 (base 5) to base 12.
-73144
11142301 (base 5) to base 2
11000010101110101
Convert -1047 (base 9) to base 15.
-367
Convert -1983ce (base 16) to base 7.
-20133023
11439b (base 12) to base 10
277031
Convert -21120155 (base 7) to base 8.
-6641101
What is -121210322013 (base 4) in base 14?
-c67607
Convert -10455537 (base 8) to base 2.
-1000100101101101011111
110222112001222 (base 3) to base 16
69466d
What is -1333001210 (base 4) in base 14?
-d787a
-16923 (base 12) to base 2
-111111010101011
11513011 (base 7) to base 3
1221021001201
What is 2200133 (base 6) in base 9?
175363
-14700707 (base 8) to base 10
-3375559
What is -1012044 (base 6) in base 15?
-e527
10034061 (base 7) to base 14
1793a1
What is -1258b6 (base 16) in base 2?
-100100101100010110110
Convert 1298546 (base 10) to base 7.
14015564
Convert 402454 (base 7) to base 10.
68149
51a71 (base 11
|
{
"pile_set_name": "DM Mathematics"
}
|
many minutes are there between 1:27 PM and 10:34 PM?
547
How many minutes are there between 6:39 AM and 10:16 AM?
217
What is 283 minutes before 10:02 PM?
5:19 PM
What is 69 minutes after 5:00 PM?
6:09 PM
What is 532 minutes before 12:52 PM?
4:00 AM
What is 588 minutes before 7:03 AM?
9:15 PM
How many minutes are there between 11:22 AM and 7:05 PM?
463
What is 136 minutes after 4:39 PM?
6:55 PM
How many minutes are there between 11:34 PM and 9:41 AM?
607
How many minutes are there between 9:25 PM and 10:25 PM?
60
What is 317 minutes after 4:33 PM?
9:50 PM
How many minutes are there between 2:33 AM and 11:46 AM?
553
How many minutes are there between 9:29 AM and 6:13 PM?
524
How many minutes are there between 7:06 AM and 1:32 PM?
386
What is 337 minutes before 12:51 PM?
7:14 AM
What is 54 minutes before 1:02 PM?
12:08 PM
How many minutes are there between 9:27 PM and 1:40 AM?
253
How many minutes are there between 1:20 AM and 4:21 AM?
181
What is 304 minutes before 3:49 PM?
10:45 AM
How many minutes are there between 11:40 AM and 8:04 PM?
504
How many minutes are there between 5:06 PM and 5:44 PM?
38
What is 231 minutes before 8:42 AM?
4:51 AM
How many minutes are there between 9:29 AM and 11:20 AM?
111
What is 432 minutes after 3:39 PM?
10:51 PM
How many minutes are there between 10:04 AM and 2:43 PM?
279
What is 292 minutes after 3:58 PM?
8:50 PM
How many minutes are there between 5:22 AM and 2:06 PM?
524
What is 504 minutes before 2:18 PM?
5:54 AM
What is 408 minutes before 2:21 AM?
7:33 PM
What is 685 minutes before 1:55 PM?
2:30 AM
What is 96 minutes before 11:04 AM?
9:28 AM
What is 286 minutes after 5:31 PM?
10:17 PM
How many minutes are there between 2:50 AM and 10:33 AM?
463
What is 250 minutes before 9:09 PM?
4:59 PM
What is 432 minutes after 3:45 PM?
10:57 PM
How many minutes are there between 10:34 PM and 10:03 AM?
689
How many minutes are there between 3:53 AM and 10:38 AM?
405
What is 148 minutes before 2:40 PM?
12:12 PM
How many minutes are there between 2:52 PM and 6:29 PM?
217
What is 251 minutes after 6:46 AM?
10:57 AM
What is 167 minutes before 12:38 AM?
9:51 PM
What is 647 minutes after 10:12 PM?
8:59 AM
What is 253 minutes after 4:33 AM?
8:46 AM
How many minutes are there between 4:25 PM and 4:08 AM?
703
What is 410 minutes after 7:29 PM?
2:19 AM
What is 207 minutes after 10:39 PM?
2:06 AM
How many minutes are there between 7:42 PM and 3:29 AM?
467
What is 376 minutes after 1:21 PM?
7:37 PM
How many minutes are there between 11:23 PM and 7:13 AM?
470
What is 252 minutes before 9:55 AM?
5:43 AM
How many minutes are there between 11:19 PM and 9:02 AM?
583
What is 44 minutes after 3:52 PM?
4:36 PM
How many minutes are there between 1:04 PM and 4:21 PM?
197
How many minutes are there between 4:53 AM and 2:35 PM?
582
What is 402 minutes after 3:40 PM?
10:22 PM
What is 564 minutes after 1:59 PM?
11:23 PM
What is 690 minutes after 7:49 AM?
7:19 PM
What is 706 minutes before 8:09 PM?
8:23 AM
What is 202 minutes after 1:33 PM?
4:55 PM
What is 636 minutes before 8:23 AM?
9:47 PM
How many minutes are there between 11:59 PM and 1:35 AM?
96
What is 710 minutes after 6:26 PM?
6:16 AM
What is 270 minutes before 12:57 AM?
8:27 PM
What is 609 minutes before 12:52 AM?
2:43 PM
How many minutes are there between 11:26 PM and 12:01 AM?
35
How many minutes are there between 1:02 AM and 3:03 AM?
121
What is 20 minutes after 12:04 AM?
12:24 AM
What is 687 minutes after 1:05 AM?
12:32 PM
What is 665 minutes before 8:33 PM?
9:28 AM
How many minutes are there between 10:36 AM and 3:27 PM?
291
What is 394 minutes before 5:58 AM?
11:24 PM
What is 39 minutes before 11:06 PM?
10:27 PM
What is 355 minutes before 10:39 AM?
4:44 AM
How many minutes are there between 8:00 AM and 5:18 PM?
558
What is 459 minutes after 5:55 PM?
1:34 AM
What is 244 minutes before 2:27 PM?
10:23 AM
What is 490 minutes before 2:41 AM?
6:31 PM
How many minutes are there between 3:49 PM and 7:49 PM?
240
What is 501 minutes after 5:41 AM?
2:02 PM
How many minutes are there between 10:57 PM and 6:31 AM?
454
How many minutes are there between 9:01 AM and 12:38 PM?
217
What is 428 minutes after 5:26 AM?
12:34 PM
How many minutes are there between 1:54 AM and 8:48 AM?
414
How many minutes are there between 4:35 AM and 3:21 PM?
646
What is 485 minutes after 11:39 PM?
7:44 AM
What is 10 minutes after 5:20 AM?
5:30 AM
How many minutes are there between 5:59 PM and 2:04 AM?
485
What is 260 minutes before 3:10 AM?
10:50 PM
What is 91 minutes after 1:29 PM?
3:00 PM
How many minutes are there between 9:30 AM and 12:36 PM?
186
How many minutes are there between 9:22 AM and 6:20 PM?
538
What is 305 minutes before 9:27 PM?
4:22 PM
What is 491 minutes after 5:50 AM?
2:01 PM
What is 173 minutes before 1:05 PM?
10:12 AM
How many minutes are there between 9:58 PM and 10:37 PM?
39
What is 424 minutes before 12:03 PM?
4:59 AM
What is 470 minutes before 7:53 PM?
12:03 PM
How many minutes are there between 10:18 PM and 12:21 AM?
123
How many minutes are there between 9:18 AM and 3:56 PM?
398
What is 203 minutes before 6:49 PM?
3:26 PM
What is 322 minutes before 11:57 PM?
6:35 PM
What is 376 minutes after 10:40 PM?
4:56 AM
How many minutes are there between 3:30 AM and 1:41 PM?
611
What is 62 minutes before 12:29 PM?
11:27 AM
How many minutes are there between 7:47 PM and 4:56 AM?
549
What is 707 minutes before 12:53 AM?
1:06 PM
How many minutes are there between 8:05 AM and 8:07 AM?
2
What is 366 minutes before 12:09 AM?
6:03 PM
How many minutes are there between 4:37 PM and 5:04 PM?
27
What is 480 minutes before 5:11 AM?
9:11 PM
How many minutes are there between 5:24 PM and 4:28 AM?
664
How many minutes are there between 9:40 AM and 11:57 AM?
137
How many minutes are there between 4:46 PM and 1:20 AM?
514
What is 353 minutes after 8:23 PM?
2:16 AM
What is 82 minutes before 1:41 PM?
12:19 PM
What is 609 minutes after 1:59 AM?
12:08 PM
What is 195 minutes before 10:27 PM?
7:12 PM
What is 552 minutes before 6:52 PM?
9:40 AM
What is 279 minutes before 5:54 AM
|
{
"pile_set_name": "DM Mathematics"
}
|
at is f*p(i) - d(i)?
i - 11
Suppose 3*g - 3 = 0, -4*g = 4*k - 8*k + 12. Let x(p) be the third derivative of p**4/24 + p**3/6 - 13*p**2. Let m(r) = 2. Determine k*x(y) - 2*m(y).
4*y
Let t(l) = -7*l**3 + 8*l**2 - 5*l. Let h(c) = 3*c + 11937*c**2 - 3*c**3 - 5*c - 11933*c**2. What is 5*h(b) - 2*t(b)?
-b**3 + 4*b**2
Let b(t) = -134*t - 11. Let j(z) = 132*z + 8. What is 2*b(r) + 3*j(r)?
128*r + 2
Suppose 4*l = -3 - 45. Let o(j) = 8*j - j - 2*j**2 - 5 + 3*j**2 + 3*j + 2*j. Let i be o(l). Let z(w) = -6*w - 8. Let u(v) = 7*v + 9. What is i*u(k) - 6*z(k)?
k + 3
Let y(f) = 3*f**2 - 3*f + 1. Let h(l) = -7*l**2 + 10*l - 2. What is -2*h(o) - 7*y(o)?
-7*o**2 + o - 3
Let d(a) = -2*a**2 - 6*a. Let q(y) = y**3 - 8*y**2 - 7*y - 20. Let h be q(9). Let t(i) = -2*i**2 - 5*i. Calculate h*t(v) + 3*d(v).
-2*v**2 - 8*v
Let h(b) be the second derivative of -b**3/3 + b**2 + 9*b. Let p(x) = x - 1. Suppose -8*c + 15 = -3*c. Suppose 4*w - 5*w = c. Determine w*p(f) - 2*h(f).
f - 1
Suppose -2*a = i - 0*a + 5, 3*i = 2*a - 15. Let f(q) = -2*q - 1. Let p(j) = -j. Let d(b) = 3*b - 1. Let l(t) = -d(t) - 6*p(t). What is i*f(u) - 4*l(u)?
-2*u + 1
Let k(l) = 2*l**3 + 5*l**2 - l + 3. Let u = -618 + 615. Let s be -4 + (-1 - -1) - 1. Let o(y) = -y**3 - 3*y**2 + y - 2. Determine s*o(d) + u*k(d).
-d**3 - 2*d + 1
Let i = -1174 - -1173. Let w(h) = h. Let a(l) = -3*l**2 - 6*l + 3. Determine i*a(m) - 6*w(m).
3*m**2 - 3
Let v be (-1 - (-14)/10)/(5/(-25)). Let x(n) = -n**3 - n**2 - 2*n - 4. Let d(j) = -6*j**3 - 5*j**2 - 11*j - 21. Calculate v*d(t) + 11*x(t).
t**3 - t**2 - 2
Suppose 5*j - 4*b = 41, 40 + 0 = 4*j + 4*b. Let o(p) = -1 + 9 - p + 14*p. Let t(h) be the first derivative of -3*h**2/2 - 2*h + 245. What is j*t(r) + 2*o(r)?
-r - 2
Let o(w) = 7*w - 17. Let n(h) = -h**3 - 3*h**2 - 4*h - 16. Let x be n(-3). Let u(z) = 3*z - 8. Calculate x*o(v) + 9*u(v).
-v - 4
Let o(x) = -x + 4. Suppose 0 = -3*c + 8*c + 2*z + 14, -4*z - 8 = 5*c. Let m(g) = -5*g + 21. Determine c*m(d) + 22*o(d).
-2*d + 4
Let j(f) = 286*f**3 - 3*f**2 - 6*f + 12. Let r(q) = 3*q**3 - q**2 - q + 2. What is j(g) - 6*r(g)?
268*g**3 + 3*g**2
Let f(t) = -8*t**2 - 2*t - 5. Let c(r) = -9*r**2 - 2*r - 6. Let x = -7 + 6. Let b be 10/(5 + -3)*x. Give b*c(n) + 6*f(n).
-3*n**2 - 2*n
Let z(t) = 7*t**3 - t**2 - 2*t. Let x(l) = -l**3. Let m be (-6)/30 + 41/5. Let h be 12/m*-4*1/1. Calculate h*x(u) - z(u).
-u**3 + u**2 + 2*u
Let h(u) be the first derivative of 1/2*u**2 + 12*u + 1. Let g(j) = 652 + 649 - 2598 + 651 + 647. What is 22*g(s) - 2*h(s)?
-2*s - 2
Let k(u) = u. Let h(v) = 6*v + 3. Let l(o) = -o**3 - 3*o**2 + 42*o - 9. Let d be l(5). Give d*h(f) - 2*k(f).
4*f + 3
Let n(x) = -11*x**3 - 6*x**2 - 8*x + 17. Let s(k) = -4*k**3 - 2*k**2 - 3*k + 6. Let m be (-6 + 4 - -5) + -9. Calculate m*n(l) + 17*s(l).
-2*l**3 + 2*l**2 - 3*l
Let a(y) = 4*y**2 - 8*y + 7. Let i(v) = 6*v**2 - 15*v + 13. What is -7*a(g) + 4*i(g)?
-4*g**2 - 4*g + 3
Let p be (-2)/(-17) - (-1519)/527. Let t(o) = -o + 0 - 2 - o**2 + 3. Let h(n) = 8*n**2 + 3*n - 3. Calculate p*t(x) + h(x).
5*x**2
Let h(b) = b**3 - 8*b**2 + 6*b + 10. Let s be h(7). Let o(i) = -6 + 8*i + 5 + 3 + s. Let z(l) = -23*l - 14. Calculate 17*o(t) + 6*z(t).
-2*t + 1
Let g(i) = -42*i**3 - 3*i - 3. Let k(a) = a + 1. Give -2*g(l) - 6*k(l).
84*l**3
Let i(f) = 5*f**2 - 13*f + 9. Let c(n) = 2*n - 2. Let u(d) = 6*c(d) + i(d). Let j(r) = -r**2. Calculate 3*j(s) + u(s).
2*s**2 - s - 3
Let i(b) = -53*b**3 - 19*b + 12. Let n(f) = 26*f**3 + 9*f - 6. What is 6*i(m) + 13*n(m)?
20*m**3 + 3*m - 6
Let h(b) = -18*b - 3. Let c(t) = -2*t - 2. Determine 2*c(
|
{
"pile_set_name": "DM Mathematics"
}
|
be (21/(-6) + 4)*2. Let c = u + 3. Suppose -p + 0*p + c*v + 20 = 0, 4*p + 3*v + 15 = 0. Which is greater: p or 3/5?
3/5
Suppose -2 = a + 3*d, a - 4*d - 8 - 18 = 0. Let w = 8 - 5. Let p be 14/a*(w - -2). Is p at least as big as 7?
True
Let x = -14.2 - -14.272. Is 1/3 <= x?
False
Let c be (5 - -4) + (-3)/(-1). Let d = c - 11. Let b = -1377/7 + 197. Is d at most b?
False
Let q = 11 + -16. Let i be (q/(-15))/(2/6). Let y be 0*i/(-4)*-1. Is y less than -2/19?
False
Let g = 0.4 - -5.6. Let n = -350 - -346. Is n at most as big as g?
True
Let b = 29 + -144/5. Let l = -0.16 + 0.12. Are b and l unequal?
True
Suppose -p - 3*p + 8 = 0. Let b be (-1)/(-2)*p*-1. Let k be (3 + -7)/(-16)*-1. Which is bigger: b or k?
k
Let j(w) = -w**2 - 5*w + 3. Let s be j(-5). Let i = 177 + -177.06. Is s > i?
True
Let w(q) = q**2 + 2*q - 3. Let u be w(3). Let v = 388 - 376. Do v and u have the same value?
True
Let a be ((-21)/70)/((-6)/8). Let t = -29 - -27.9. Let q = t + 1.3. Are a and q non-equal?
True
Let t = 15.8 - 14.9. Suppose -2*i + 4*i = -2*n, 1 = 4*i + 3*n. Is i < t?
False
Let p = 18483 + -56018/3. Which is bigger: -190 or p?
p
Let b = -1061/12 + 529/6. Suppose 0 = s + 2, -3*s + 7*s = 4*g - 16. Suppose 0 = -g*c + c. Is b less than or equal to c?
True
Let p be ((161/(-4))/7)/((-4)/(-16)). Let r = -21 - 1. Is r at least p?
True
Suppose -l - 74 = -5*r, -5*r - 18 = 5*l - 68. Is 15 less than r?
False
Suppose 3*f + 122 = -4*j - 46, 0 = -4*j + 2*f - 168. Let z = j + 29. Which is smaller: -35/3 or z?
z
Let s be 5/2*2/(-120). Let q(l) be the first derivative of l**2 + 11*l - 11. Let y be q(-6). Does s = y?
False
Let k = 0.2553 - -2.7447. Is 11 >= k?
True
Let v be -2 + 11 + (-58220)/6461. Which is smaller: v or 1?
v
Let y be 2/(-18) - 376/(-4680). Let r = -19 + 19. Which is smaller: y or r?
y
Let x = 0 + 1/4. Let g(s) = -4*s + 25. Let j be g(7). Let d = -4 - j. Which is greater: d or x?
x
Let w = 949 + -3815/4. Let y = 93/20 + w. Let m = -1 - 0. Which is smaller: m or y?
m
Let u = -30 - -34. Suppose u*p - 2*p = 0. Which is smaller: -2/117 or p?
-2/117
Suppose -3*m + 4*u = -0*m - 32, 0 = m + 3*u - 28. Is 21 not equal to m?
True
Let d(x) = x**2 - x + 1. Let p be d(2). Suppose 3*o = o + o. Suppose h + 4*a - 7 = o, 3*a + 9 + 3 = 5*h. Is p bigger than h?
False
Suppose -2*b + 4*v + 22 = 0, v + 0 = -3*b - 2. Which is smaller: b or 4/147?
4/147
Let o(b) = b**3 - 4*b - 3. Let v be o(-2). Let q(g) = -6 + 4 + 2 + g**3 + 3*g + g**2 + 1. Let a be q(-1). Are v and a unequal?
True
Let t = -1055 + 7370/7. Which is smaller: -1 or t?
t
Let l(f) = -f + 6. Let d be (-4)/8 - 50/(-4). Let p be l(d). Which is smaller: 4 or p?
p
Let v = 15645/3292 - 2/823. Let l = v + -4. Is l > 1?
False
Let m(v) = 10*v - 70. Let d be m(7). Let a be (1 - 1 - d)*(-44)/88. Is a != -3?
True
Let n = -2.8 - 1.2. Let r = 3 - n. Let k = r + -6.98. Which is bigger: k or 1?
1
Let w(z) = -z**2 + 9*z - 17. Let q be w(3). Do -10/123 and q have different values?
True
Let h be (7/(-2))/(30/(-20)). Is 1 at least h?
False
Let p = -1.014 - -0.014. Let f = 0.15 - -0.55. Let d = 7.7 - f. Is p equal to d?
False
Let i(c) = 21*c**2 + 3*c + 2. Let k be i(-1). Suppose -k*q - 2 = -18*q. Is -22/9 less than q?
True
Let f = 165 - 30. Let w = f + -145. Suppose -2*h = -3*h - 8. Which is smaller: w or h?
w
Let o(q) = 16*q + 2. Let n be o(6). Let v = n - 26. Suppose 5*m = -23 - v. Is m bigger than -19?
False
Suppose 4*t + 10 = -22. Let f(j) = j**2 + 6*j - 24. Let l be f(t). Are -5 and l nonequal?
True
Suppose -40 = 2*b - 6*b. Let s = b + -7. Let y = 3 - s. Which is smaller: -3/8 or y?
-3/8
Let s(q) = -11*q**3 + 17*q**2 + 7*q. Let v(u) = 4*u**3 - 6*u**2 - 2*u. Let h(p) = -3*s(p) - 8*v(p). Let o be h(4). Is -5 at least o?
False
Let j(r) = -3 - 3*r + 3. Suppose 5*h + 3*d = 2*h + 9, -5*h = 2*d - 15. Let i be j(h). Is i < 2?
True
Let f = -1.8 - -1.8. Is -26 > f?
False
Let u = 786127/277 + -2838. Are u and 0 nonequal?
True
Let w = -2563 + 697135/272. Which is smaller: w or -1?
-1
Let i = -16.97 - -17. Let f = 0.18 + -0.2. Let n = i + f. Are 0.1 and n non-equal?
True
Let m = 20 + -105. Let b = 84.2 + m. Which is bigger: b or 2/3?
2/3
Let h = -7 - -5.5. Let p = -64 - -33. Let c = p + 31.1. Which is smaller: h or c?
h
Suppose -m = m + 6. Let q = 7 + m. Suppose -5*p + q*p = -3. Is p at least as big as 2?
True
Suppose 320 = s - 5*s + 3*i, 61 = -s - 4*i. Let j = s +
|
{
"pile_set_name": "DM Mathematics"
}
|
ime factors of 1823878?
2, 7, 37, 503
List the prime factors of 1051201.
137, 7673
List the prime factors of 15529712.
2, 11, 88237
What are the prime factors of 88981?
101, 881
What are the prime factors of 136040?
2, 5, 19, 179
List the prime factors of 164470.
2, 5, 16447
List the prime factors of 1197687.
3, 113, 3533
What are the prime factors of 996597?
3, 7, 5273
List the prime factors of 16132583.
16132583
List the prime factors of 1724813.
1724813
List the prime factors of 702684.
2, 3, 131, 149
What are the prime factors of 273325?
5, 13, 29
List the prime factors of 2698531.
11, 245321
What are the prime factors of 595043?
595043
List the prime factors of 49509.
3, 5501
List the prime factors of 201599.
201599
List the prime factors of 325769.
325769
What are the prime factors of 55377?
3, 7, 293
List the prime factors of 5279544.
2, 3, 73327
What are the prime factors of 442988?
2, 7, 13, 1217
What are the prime factors of 252497?
7, 5153
What are the prime factors of 1401243?
3, 467081
What are the prime factors of 1599541?
757, 2113
What are the prime factors of 991878?
2, 3, 165313
What are the prime factors of 1008028?
2, 7, 37, 139
What are the prime factors of 8384759?
53, 281, 563
List the prime factors of 1966851.
3, 83, 2633
List the prime factors of 375734.
2, 17, 43, 257
List the prime factors of 89676.
2, 3, 47, 53
What are the prime factors of 195567?
3, 19, 47, 73
What are the prime factors of 253108?
2, 63277
List the prime factors of 7722487.
67, 79, 1459
List the prime factors of 1989496.
2, 431, 577
List the prime factors of 1127893.
13, 53, 1637
List the prime factors of 153561.
3, 17, 3011
List the prime factors of 1133282.
2, 83, 6827
List the prime factors of 636143.
127, 5009
List the prime factors of 45020.
2, 5, 2251
What are the prime factors of 612335?
5, 29, 41, 103
List the prime factors of 9337637.
9337637
What are the prime factors of 2288063?
23, 53, 1877
What are the prime factors of 2867578?
2, 7, 29, 1009
List the prime factors of 1179076.
2, 281, 1049
List the prime factors of 596598.
2, 3, 17, 5849
What are the prime factors of 346467?
3, 11, 10499
List the prime factors of 12800239.
12800239
List the prime factors of 361620.
2, 3, 5, 7, 41
List the prime factors of 3201819.
3, 449, 2377
What are the prime factors of 283299?
3, 94433
List the prime factors of 5534195.
5, 1106839
List the prime factors of 2840890.
2, 5, 13, 41
What are the prime factors of 1802954?
2, 53, 73, 233
List the prime factors of 37764.
2, 3, 1049
List the prime factors of 2209.
47
List the prime factors of 10332495.
3, 5, 76537
What are the prime factors of 66189?
3, 22063
List the prime factors of 89616.
2, 3, 1867
What are the prime factors of 274285?
5, 11, 4987
List the prime factors of 1263352.
2, 67, 2357
What are the prime factors of 5030481?
3, 1676827
What are the prime factors of 126100?
2, 5, 13, 97
List the prime factors of 176405.
5, 35281
What are the prime factors of 3837111?
3, 631, 2027
List the prime factors of 6405426.
2, 3, 118619
List the prime factors of 21450793.
7, 13, 235723
List the prime factors of 250549.
13, 19273
List the prime factors of 643612.
2, 160903
List the prime factors of 144176.
2, 9011
What are the prime factors of 32479?
32479
What are the prime factors of 256908?
2, 3, 79, 271
What are the prime factors of 4875338?
2, 13, 187513
What are the prime factors of 33850783?
4639, 7297
List the prime factors of 163038.
2, 3, 29, 937
List the prime factors of 15118717.
15118717
List the prime factors of 5615066.
2, 17, 239, 691
What are the prime factors of 7637510?
2, 5, 763751
List the prime factors of 551130.
2, 3, 5, 18371
List the prime factors of 1815589.
43, 42223
What are the prime factors of 238811?
19, 12569
What are the prime factors of 139593?
3, 19, 31, 79
List the prime factors of 475438.
2, 89, 2671
List the prime factors of 260662.
2, 47, 59
List the prime factors of 3115775.
5, 13, 9587
List the prime factors of 504869.
313, 1613
List the prime factors of 11309548.
2, 2827387
What are the prime factors of 1724020?
2, 5, 86201
What are the prime factors of 10240108?
2, 313, 8179
What are the prime factors of 41038910?
2, 5, 11, 349, 1069
List the prime factors of 1622301.
3, 631, 857
What are the prime factors of 5816827?
193, 30139
List the prime factors of 459695.
5, 91939
List the prime factors of 24089154.
2, 3, 79, 50821
What are the prime factors of 985000?
2, 5, 197
What are the prime factors of 271548?
2, 3, 19, 397
List the prime factors of 1787617.
13, 199, 691
List the prime factors of 1288501.
59, 21839
What are the prime factors of 1086465?
3, 5, 72431
List the prime factors of 12157534.
2, 37, 164291
What are the prime factors of 1540920?
2, 3, 5, 12841
What are the prime factors of 1340943?
3, 17, 26293
List the prime factors of 505213.
505213
List the prime factors of 1169665.
5, 7, 23, 1453
List the prime factors of 26110272.
2, 3, 239, 569
What are the prime factors of 367717?
7, 131, 401
What are the prime factors of 1449022?
2, 41, 431
What are the prime factors of 6430953?
3, 29, 193, 383
What are the prime factors of 250907?
23, 10909
List the prime factors of 417728.
2, 61, 107
List the prime factors of 13173669.
3, 19, 41, 1879
List the prime factors of 19362.
2, 3, 7, 461
List the prime factors of 371507.
19, 19553
List the prime factors of 5947296.
2, 3, 41, 1511
What are the prime factors of 4159086?
2, 3, 439, 1579
What are the prime factors of 7681657?
7681657
List the prime factors of 2051745.
3, 5, 43, 3181
List the prime factors of 1081230.
2, 3, 5, 23, 1567
List the prime factors of 230730.
2, 3, 5, 7691
What are the prime factors of 240131?
240131
List the prime factors of 110048.
2, 19, 181
What are the prime factors of 5166069?
3, 53, 32491
List the prime factors of 147557.
147557
|
{
"pile_set_name": "DM Mathematics"
}
|
g) be the third derivative of 0*g - 1/90*g**6 - 3*g**2 + 1/105*g**7 + 0*g**3 + 0 - 1/90*g**5 + 0*g**4. Factor o(p).
2*p**2*(p - 1)*(3*p + 1)/3
Let t be 40/4 + -3 + -4. Solve -16*d**2 - 6*d + 5*d - t*d = 0 for d.
-1/4, 0
Let p(v) = v**5 + v**4 - v**3 - v**2 + v + 1. Let l(k) = -85*k**5 + 35*k**4 + 40*k**3 + 10*k**2 - 5*k - 5. Let g(f) = l(f) + 5*p(f). Factor g(n).
-5*n**2*(n - 1)*(4*n + 1)**2
Let z = 8 - 1. Let p(x) be the third derivative of -1/168*x**8 - 1/105*x**z + 0*x + 1/60*x**6 + 1/30*x**5 + 0 + 0*x**3 + 0*x**4 - x**2. Let p(t) = 0. What is t?
-1, 0, 1
Let k(y) be the first derivative of y**3/5 - 3*y**2/10 - 6*y/5 - 40. Factor k(j).
3*(j - 2)*(j + 1)/5
Let l(o) = -o**2 - 6*o + 6. Let u be l(-7). Let g be 2*u/3 + 2. Solve 2/3 + g*b**3 - 2/3*b**4 - 4/3*b + 0*b**2 = 0.
-1, 1
Suppose -3*d + 7 - 1 = 0. Suppose -3*m + 8*m - 2*m**d - 8 + 3*m = 0. Calculate m.
2
Let p be (12/70)/((-63)/(-2800)). Let w = p - 44/7. Suppose -2/3*y**2 - w*y + 0 + 2/3*y**3 = 0. Calculate y.
-1, 0, 2
What is i in 4/9 - 10/9*i - 14/9*i**2 = 0?
-1, 2/7
Let b be (-1)/((-39)/18 + 2). Factor n**2 - 12*n**5 - 4*n**3 - 20*n**3 + b*n**3 - 27*n**4 - 4*n**2.
-3*n**2*(n + 1)**2*(4*n + 1)
Let k = 743/166 + 2/83. Solve 6 - 3/4*d**3 + k*d**2 - 9*d = 0.
2
Let h = -211 + 214. Factor 0*p + 2/7*p**h + 0 + 5/7*p**5 + 0*p**2 + p**4.
p**3*(p + 1)*(5*p + 2)/7
Let k(j) be the second derivative of 5*j**4/12 - 7*j**3/6 + 2*j**2 + j. Let w(b) = -16*b**2 + 21*b - 13. Let i(m) = -21*k(m) - 6*w(m). Solve i(a) = 0 for a.
1/3, 2
Let z(l) = -l**3 - 4*l**2 + 2*l + 2. Let w(s) = -s**2 + s - 1. Let f(b) = w(b) - z(b). Let v be f(-3). Factor 0*c - 2/7*c**4 + 0 + v*c**3 + 0*c**2.
-2*c**4/7
Factor 9/8 + 3/4*a + 1/8*a**2.
(a + 3)**2/8
Let t(k) be the third derivative of 0 - 4/945*k**7 + 1/1512*k**8 - 5*k**2 + 1/180*k**6 + 0*k - 1/27*k**4 + 2/135*k**5 + 0*k**3. Suppose t(l) = 0. What is l?
-1, 0, 1, 2
Let q(b) be the third derivative of -605*b**8/336 + 407*b**7/42 - 499*b**6/24 + 265*b**5/12 - 35*b**4/3 + 10*b**3/3 - 17*b**2. Factor q(c).
-5*(c - 1)**3*(11*c - 2)**2
Suppose 6*w**3 + 2*w**4 + 2*w**4 - w**5 - w**5 - 10*w**2 + 4*w - 2*w**4 = 0. What is w?
-2, 0, 1
Let o(m) = -m**4 - m**3 - 3*m**2 + 3*m - 2. Let v(a) = 4*a**4 + 3*a**3 + 9*a**2 - 8*a + 6. Suppose 3*i = -1 + 7. Let y(k) = i*v(k) + 7*o(k). Factor y(n).
(n - 1)**3*(n + 2)
Let r(u) = -7*u**4 - u**3 - 4*u**2 - 5*u - 5. Let i(k) = -k**4 + k**3 - k - 1. Let l(c) = 5*i(c) - r(c). Factor l(w).
2*w**2*(w + 1)*(w + 2)
Let p(t) = t + 19. Let h be p(-11). Factor -h*r - 8 + 85*r**4 + 4*r**3 + 6*r**2 - 87*r**4 + 0*r.
-2*(r - 2)**2*(r + 1)**2
What is v in 2*v**2 + 434 - 30*v - 509 - 5*v**2 = 0?
-5
Let q(y) = 3*y**5 - 17*y**4 + 13*y**3 - 7*y**2 + 3*y + 5. Let p(z) = -z**4 - z**3 + z**2 + 1. Suppose m - 5 = -0*m. Let u(t) = m*p(t) - q(t). Factor u(c).
-3*c*(c - 1)**4
Let h(r) = -12*r**4 + 9*r**3 - 9*r - 3. Let t(p) = 3*p**4 - 2*p**3 + 2*p + 1. Let l(q) = -4*h(q) - 15*t(q). Factor l(f).
3*(f - 1)**3*(f + 1)
Let u(i) be the first derivative of -1/3*i**3 + 0*i**2 + 2 - i + 7/12*i**4. Let k(q) be the first derivative of u(q). Find r such that k(r) = 0.
0, 2/7
Let h(l) be the first derivative of 16*l**6/33 - 48*l**5/55 + l**4/22 + 4*l**3/11 + l**2/11 - 17. Factor h(q).
2*q*(q - 1)**2*(4*q + 1)**2/11
Let y(a) be the second derivative of a**4/3 - a**3/2 - a**2/2 - 2*a. Let o(p) = 7*p**2 - 5*p - 2. Let u(g) = 3*o(g) - 5*y(g). Factor u(n).
(n - 1)*(n + 1)
Let y(m) = 9*m**3 + 7*m - 15. Let d(u) = 5*u**3 + 4*u - 8. Let o(f) = -7*d(f) + 4*y(f). Let v(x) be the first derivative of o(x). Determine p so that v(p) = 0.
0
Factor 8*n**2 - 38 - 4*n**3 + 38 - 3*n - n.
-4*n*(n - 1)**2
Let a = -13/31 - -127/155. Suppose 0 + 2/5*u**2
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 15. Factor 5*q - 4*q + i - q**3 + q**b - 3*q**2.
-(q - 1)*(q + 1)*(q + 2)
Solve -2*b**5 - 12*b**2 - 6*b**3 - 2*b**5 - 3 - 2*b**5 + 12*b + 15*b**4 + 0*b**2 = 0.
-1, 1/2, 1
Factor 0 - 4/15*m - 2/15*m**3 - 2/5*m**2.
-2*m*(m + 1)*(m + 2)/15
Suppose 3*s = 3*t + 27, s + 2*t = 6*t + 24. Let b be (18/(-60))/((-6)/s). Factor 0 - 1/5*l**3 + 2/5*l - b*l**2.
-l*(l - 1)*(l + 2)/5
Let w(p) = 1491*p**3 - 1491*p**2 - 99*p + 99. Let r(u) = 149*u**3 - 149*u**2 - 10*u + 10. Let l(x) = 21*r(x) - 2*w(x). Factor l(d).
3*(d - 1)*(7*d - 2)*(7*d + 2)
Let m(k) be the first derivative of k**4/8 + k**3/3 - k**2/4 - k + 6. Let m(j) = 0. Calculate j.
-2, -1, 1
Let p(h) be the first derivative of -h**5/100 + h**4/60 + 2*h + 3. Let z(w) be the first derivative of p(w). Factor z(a).
-a**2*(a - 1)/5
Suppose -2*u + 8 = 2. Let b(p) be the first derivative of u + 0*p**3 - 1/4*p**4 + 0*p**2 - 2/5*p**5 - 1/6*p**6 + 0*p. Solve b(y) = 0.
-1, 0
Let j be (-1)/(-6) + (-11)/(-6). Let g(t) be the second derivative of -2/9*t**3 - 5/18*t**4 - 3*t + 0*t**j + 0. Determine b so that g(b) = 0.
-2/5, 0
Let a(k) = -5*k**3 + 5*k**2 - 3*k - 3. Let r(c) = -27*c**3 + 26*c**2 + c**3 - 16*c - 18 + 2. Let w(z) = -16*a(z) + 3*r(z). Factor w(v).
2*v**2*(v - 1)
Find j such that 240*j**2 + 66*j + 137*j**3 - 15*j + 55*j**3 + 3 = 0.
-1, -1/8
Let g = -11 - -10. Let f be 9/18 - (g - -1). Factor -f*d**3 + 0*d + 0 + 0*d**2 + d**4 - 1/2*d**5.
-d**3*(d - 1)**2/2
Let z(i) = -i - 3. Let y be z(-9). Let j(l) = -3*l**2 + 2*l - 3. Let p(c) = 3*c**2 - c + 2. Let s(m) = y*p(m) + 4*j(m). Factor s(r).
2*r*(3*r + 1)
Let j be (-2 + 0)/(4/(-8)). Let b(o) = -o**3 - 5*o**2 + 7*o + 6. Let m be b(-6). Factor 5 + 13*g**2 - g**4 + 2*g**4 + 6*g**3 + 12*g - 1 + m*g**j.
(g + 1)**2*(g + 2)**2
Let f be 7/(14/6) + 0. Let u be ((-93)/(-30) - f)*8. Find p, given that 0 - u*p - 2/5*p**2 + 2/5*p**3 = 0.
-1, 0, 2
Let w(x) = x - 1. Let i be w(5). Determine h, given that 4/3*h + 4/3*h**3 + 0 + 2*h**i - 14/3*h**2 = 0.
-2, 0, 1/3, 1
Solve 55/3*r**4 + 70*r**3 + 90*r**2 - 135 - 45*r + 5/3*r**5 = 0.
-3, 1
Let n(v) = v**2 + 19*v + 21. Let b be n(-18). Let x(k) be the first derivative of -1/3*k**2 - 1/9*k**b - 1/3*k + 1. Solve x(j) = 0.
-1
Let h(f) = 7*f**2 - 7*f - 14. Let p(w) = 9*w**2 - 6*w - 15. Let l(j) = -6*h(j) + 5*p(j). Let l(r) = 0. Calculate r.
-3, -1
Suppose -2 = 2*n - 6. Let y(x) = -3*x**2 + 2*x + 1. Let a(l) = -16*l**2 + 11*l + 5. Let p(o) = n*a(o) - 11*y(o). Find v, given that p(v) = 0.
-1, 1
Let p(z) = -z**3 - 7*z**2 - 5*z + 8. Let l be p(-6). Factor -l*y**2 + 0*y**2 + 0*y**2 - 1 + 3.
-2*(y - 1)*(y + 1)
Let o(h) = h**2 + h - 1. Let s(a) = a**2 - 5*a - 9. Let y(d) = -6*o(d) + 2*s(d). Factor y(z).
-4*(z + 1)*(z + 3)
What is l in 5*l**5 + 15*l + 1448*l**4 - 7*l**2 - 1448*l**4 - 20*l**3 - 3*l**2 + 10 = 0?
-1, 1, 2
Let p(q) = 3*q - 1. Let i be p(1). Find h such that 3*h**2 + 2*h**4 - 2*h + 3*h**3 - 5*h**i - h**3 = 0.
-1, 0, 1
Let 12*p - 3*p**4 + 9*p**2 + 32 - 44 + 0*p**3 - 6*p**3 = 0. What is p?
-2, 1
Let z(p) be the first derivative of 0*p + 2 - 1/11*p**2 + 2/55*p**5 + 2/11*p**3 - 3/22*p**4. Solve z(b) = 0.
0, 1
Let t(p) be the third derivative of p**8/10080 - p**7/630 + p**6/90 + p**5/15 + p**2. Let i(f) be the third derivative of t(f). Factor i(r).
2*(r - 2)**2
Let n(b) be the second derivative of -6*b - 1/24*b**3 + 0*b**6 - 1/168*b**7 + 1/40*b**5 + 0 + 0*b**4 + 0*b**2. Factor n(s).
-s*(s - 1)**2*(s + 1)**2/4
Let f = -41 - -371/9. Factor f*g + 8/9*g**2 - 4/9 - 2/3*g**3.
-2*(g - 1)**2*(3*g + 2)/9
Suppose -5*o - 5 = 15. Let d be (-28)/(-10) - o/20. Factor 0 - 2/11*t**4 - 8/11*t - 16/11*t**2 - 10/11*t**d.
-2*t*(t + 1)*(t + 2)**2/11
Let f(o) = -6*o**5 - 2*o**4 + 4*o**3 + 5. Let s(u) = 5*u**5 + 2*u**4 - 3*u**
|
{
"pile_set_name": "DM Mathematics"
}
|
3. What is the units digit of h?
1
Let m(w) = -w**2 - 119*w + 4620. What is the units digit of m(0)?
0
Suppose 0 = 5*v + m - 17, 3*v - 5*m + 3*m - 5 = 0. Let p(x) = 0*x**2 - 4*x**2 + x**3 + v + 3*x - 9 + 18*x**2. What is the hundreds digit of p(-13)?
1
Suppose 13*w + 42024 = 34*w - 15*w. What is the thousands digit of w?
7
Let r = 12 + -12. Let c = 381 + -129. Suppose r = y + 6*y - c. What is the units digit of y?
6
Let x be -1 + (-1)/(-3 - -2) + 2. Let j(y) = -85*y + 94*y + 10 + y**x + 1. What is the tens digit of j(-10)?
2
Suppose 2*t - 6*z - 212 = -4*z, 3*t - 4*z = 322. Let g = 5 + t. What is the units digit of g?
7
Let k(v) = 39*v**2 - 117*v + 72. What is the units digit of k(-17)?
2
Let x be (-14)/(-28) + -1 + (-14)/4. Let w be -5*x/(12/(-3)). Let o(l) = -16*l - 15. What is the units digit of o(w)?
5
Let c(u) = -u**3 + 18*u**2 + 7*u - 35. Let q be c(19). Let k = q + 380. What is the tens digit of k?
1
Suppose 22220 = 4*z + 4*k, 5560 = -203*z + 204*z - 4*k. What is the hundreds digit of z?
5
Let x = -409 - -620. Let w = -221 + 460. Suppose 0 = -a - 5*n + w, -3*n + x = a - 5*n. What is the tens digit of a?
1
Let l(b) = -b**2 - 14*b - 1. Let z be l(-5). Let t be (-2)/(z/(-12) + 3). Suppose -x - 15 - 248 = -t*f, 4*f = 5*x + 358. What is the tens digit of f?
8
Suppose 2*s + 88762 = 2*n, 11*n + 4*n + 2*s - 665698 = 0. What is the ten thousands digit of n?
4
Let p(b) = -20*b - 1. Suppose -21*q = -18*q + 15. Let i(j) = -j**2 - j + 16. Let c be i(q). What is the tens digit of p(c)?
7
Let b be (-3)/(((-180)/8)/5 + 3). Suppose 3*k = -3*v + 345, 5*v - b*v + 535 = 5*k. Suppose -p + 179 = h, -3*h - 635 = -3*p - k. What is the hundreds digit of p?
1
What is the hundreds digit of 27773 - (248/(-40) + (-18)/(-15))?
7
Let i(g) = -g**3 + 17*g**2 + 6*g - 3. Let t be i(17). Suppose v + t = -4*y, 0*v - 109 = 4*y - v. Let w = 233 + y. What is the tens digit of w?
0
What is the thousands digit of (-841012 - 29)/(-23) - (0 + -1)?
6
Let j be 8/36*-3*-9. Suppose -5*c + j*m = 3*m - 318, 4*c - 249 = -3*m. What is the tens digit of (-130)/4*(c/(-15) - 1)?
6
Let q = 5410 + -5098. What is the hundreds digit of q?
3
Let d be ((-3)/(-4) + 0)*4. Let l = -1357 + 1444. Suppose -z - 3*f - 3 = -45, 4*f = d*z - l. What is the units digit of z?
3
Let u(l) be the second derivative of 7*l**4/3 - 8*l**3/3 + 115*l**2/2 + 29*l - 2. What is the tens digit of u(6)?
2
Let b be 6/(-4)*60/(-18). Suppose -r = -b*n - 795, 2*r + 19 = -n - 151. Let w = n + 281. What is the hundreds digit of w?
1
Let r(c) = 36*c**2 + 159*c - 337. What is the units digit of r(34)?
5
Suppose -q + 5*t + 4 - 8 = 0, 5*q - 20 = 5*t. Suppose 0 = -q*p + 894 + 468. Let s = p - 105. What is the tens digit of s?
2
Let r = 1894 - -13216. What is the hundreds digit of r?
1
Let a(q) = 30*q - 48. Suppose -57*g + 56*g = -10. Let f be a(g). Let s = f - 150. What is the tens digit of s?
0
Let t(b) = 98*b + 289. What is the units digit of t(11)?
7
Let f = 8141 - -33619. What is the hundreds digit of f?
7
Let f = 12317 + 19437. What is the thousands digit of f?
1
Let j be -1*(2/(-2) - 4). Suppose 3*y - 4*c + 453 = 61, -5*y - 660 = -j*c. Let x = y - -223. What is the units digit of x?
7
Suppose -6 + 1 = o - 2*u, 5*o - 4*u = -19. Let p be 32/(-12) + 0 + (-2)/o. What is the tens digit of -1 + p + 54 + 24?
7
Let y = -56 - -70. Let w be (6/(-2))/(3/y + 0). What is the hundreds digit of (0 - -6)/(w/(-441))?
1
Let c = -16812 + 49472. What is the thousands digit of c?
2
Let y(d) = 3*d**3 - 29*d**2 + 179*d + 24. What is the hundreds digit of y(7)?
8
Let o(p) = -128*p + 896. Let w be o(7). Let u be (1 - 338/(-4))*2. Suppose -2*j + 5*j - u = w. What is the tens digit of j?
5
Let s = 24 - 17. Suppose 12 = k + k. What is the units digit of (378/s)/((-3)/k*-4)?
7
Let q(x) = -9*x + 2. Let p be q(-1). What is the tens digit of 68 + (5 - p) - 0?
6
Let n(i) = -5*i + 50. Let x be n(11). What is the tens digit of 0 + 6 + (x - -325)?
2
Suppose -84 = -5*s + 506. Let t = s + 238. What is the hundreds digit of t?
3
Suppose 23*y - 12*y = 45*y - 937380. What is the hundreds digit of y?
5
Suppose -17*a = -19*a + 10, -85 = -3*x - 5*a. What is the units digit of 4*437*5/x?
7
Suppose -40*i + 38*i + 654 = 0. Let r be 30/12 - 2/(-4). Suppose -v - 2*f + 430 = 3*v, r*v = 3*f + i. What is the tens digit of v?
0
Let k(x) = -x**2 + 24*x - 47. Let i be k(22). Let n be 88/i + 9/27. Let r = 69 - n. What is the tens digit of r?
9
Let i be (-1)/2 + -3*(-1)/6. Let p be i/((12/(-2))/(-3)). Suppose -m + 2*c + 95 = p, 1 = -3*m + 4*c + 286. What is the tens digit of m?
9
Let h be 2/(-8)*1 - 27/(-12). Let r(p) = 9*p**2 - 9. What is the units digit of r(h)?
7
Let x be (-264)/(-27) + -
|
{
"pile_set_name": "DM Mathematics"
}
|
b = 8. Suppose 5 + 2 = -o + 3*k, 0 = 5*o + 3*k + x. What is the closest to 0.2 in 2, o, 2/5?
2/5
Let y = 0.09 + 0.81. Let d = -0.5 + y. Let p = 2/33 - -29/66. Which is the nearest to p? (a) -5 (b) d (c) 3
b
Let o = -5 - -3. Let z be ((-4)/28)/(o/(-8)). Suppose -5*t - 24 = 5*n - 4, 5*n + 3*t = -10. Which is the nearest to 1/3? (a) n (b) z (c) -0.2
c
Let g = 18.91 + -19. Let t = g - -0.59. Which is the closest to 1? (a) 5 (b) 0.4 (c) t
c
Let s = 0.3 - 15.3. Let u = s - -11. Which is the nearest to 6? (a) -1/2 (b) 3 (c) u
b
Let k = -87 - -610/7. Let p = -3 - 1. Let u(h) = -h**3 + 2*h**2 - 2*h + 3. Let q be u(2). What is the nearest to q in -1/2, p, k?
-1/2
Let k = -3.4 - 0.6. Let t(p) = p - 8. Let o be t(4). Let l be (1/6)/((-1)/o). Which is the closest to -1/4? (a) 0 (b) k (c) l
a
Suppose 5*n + 4*o - 315 = 0, -n = 2*o - o - 64. Suppose -n = -4*w + m, -5*m - 65 = -4*w - 2*m. Let j = -69/5 + w. What is the nearest to -0.1 in 2/9, 0.5, j?
j
Let r = -4 - -3. Which is the closest to r? (a) -1/7 (b) -9 (c) 1/5
a
Let d(z) = -3*z**3 - 25*z**2 - 10*z - 16. Let o be d(-8). Let b = 35181/23080 - -2/2885. Let g = b + -1/40. What is the closest to o in g, -4, -3?
g
Let q be 5/15 - 13/3. Which is the closest to -1? (a) q (b) -3/4 (c) 5
b
Suppose -s + 1 = -4. What is the nearest to -2/3 in 0.3, -3, s?
0.3
Let r be (-2)/(-5) - 264/810. Let x = r - 31/54. What is the nearest to 0.2 in 2, x, 0.5?
0.5
Let l = -2.6 - -0.6. Let k = -3.8 + 3.7. Let y = 12 + -8. Which is the nearest to k? (a) y (b) 2/5 (c) l
b
Let o = 0.06 + 0.04. Let s be (-3)/((-6)/10)*1. Let k = -3 - -3.4. Which is the closest to o? (a) s (b) k (c) 0.3
c
Let t = 37 - 147/4. What is the closest to t in -1/9, -3, 5?
-1/9
Let k be (-1)/(0 + (4 - 5)). Let h = -0.6 - -0.1. What is the closest to 0.1 in 4, k, h?
h
Let j be (-12)/(-78) + 128/13. Suppose 4*h = 2*h + j. Which is the closest to 0? (a) 2/7 (b) 1 (c) h
a
Let v be ((-4)/136)/((-1)/4). Let d = 18 - 18. Let p = 1 + -0.5. Which is the closest to d? (a) v (b) p (c) 1
a
Let f be 12/(-30)*(-5)/9. Which is the nearest to f? (a) 1 (b) -0.5 (c) 1/3
c
Let o = -0.18 - 0.02. What is the closest to -3 in o, 5, 0?
o
Let j = 0.2 + -1.2. Let o = j - -2. Let r = -12 + 12.3. Which is the closest to o? (a) -0.5 (b) -3 (c) r
c
Let a = 0.09 - 0.1. Let v = 3.01 + a. Let p = 3.1 - v. What is the closest to -1 in 1/6, 0, p?
0
Let k = -5 - -7. Let f = -29 - -44. Let g be (50/f)/(2/(-3)). Which is the nearest to -1? (a) k (b) g (c) -0.5
c
Let s = 6.7 + -1.7. Which is the closest to -0.3? (a) s (b) 3/7 (c) 2
b
Suppose -10*h = -9*h + 5. What is the nearest to h in -5, 0.3, 2/9?
-5
Let t = 31 + -31.1. Suppose -s - 2*y = y - 13, 5*s = y + 1. Let x be 6/(-8)*(s + 3). Which is the closest to t? (a) x (b) 3 (c) -2/21
c
Let u = 2.2 + -0.4. Let d = -2 + u. Let n = -0.42 - -5.42. Which is the closest to 0.1? (a) -2 (b) d (c) n
b
Let h = -6 + 5.8. Let u = -0.4 - -0.1. What is the nearest to h in -0.5, 0.5, u?
u
Let t = 81.8 - 82. What is the closest to 1/4 in -5, t, 8?
t
Let h = -14 + 9. Let y be (0 - -3)*(-2)/27. Which is the nearest to 0.3? (a) y (b) h (c) 5
a
Let m(r) = -r**2 + 5*r - 1. Let s be m(4). Let y = 18 + -17. Suppose 0 = -5*u + u. Which is the closest to y? (a) u (b) -0.2 (c) s
a
Let x = 4.018 - 0.018. What is the closest to 0.1 in -0.5, -3/8, x?
-3/8
Let d = 10 + -6.4. Let h = 4 - d. Suppose -2 = 3*b + s, -5*b - s = -0*s. What is the closest to b in -0.1, -1/5, h?
h
Let g = -0.2 + 0.3. Let d = -0.1 - -0.09. Let y = d - 0.09. What is the nearest to g in y, 1, -2/11?
y
Let p(c) = -c**2 - 4*c + 2. Let n be p(-5). Let b = 2 - n. Let u = -0.38 + -0.02. What is the closest to 0 in b, u, 4?
u
Let m = 35 - 40. What is the closest to 1/4 in -4, 1/5, m?
1/5
Let t = 0 - 0.3. Let u be 3 + -2 + 21/9. Let n = -61/21 + u. What is the nearest to -1/2 in 0, n, t?
t
Let y = 10 + -6. Let p = 6 - y. Which is the closest to p? (a) -0.3 (b) 2/15 (c) -2
b
Let m be (-9)/(-12)*(-2)/6. Let f = 38 - 43. What is the nearest to m in 4, f, -3/8?
-3/8
|
{
"pile_set_name": "DM Mathematics"
}
|
x**11))/x)/x**(-2/17)))**(-7/3) assuming x is positive.
x**(-8501/306)
Simplify ((x**(1/2))**(2/75)/((x**(-1/4)*x)/(x/x**(-2/25)*x)))/((x/x**(1/8)*x)/(x*x**(3/7)*x))**7 assuming x is positive.
x**(3131/600)
Simplify ((c**(-4))**(9/7)*(c*c**(4/13)*c*c)/(c/(c/c**(-9/5))))**(-3) assuming c is positive.
c**(48/455)
Simplify (o**(-1)/o)**(10/11)*(o**(-1)/o)**(-13)*((o**(1/3)*o)/o*o)**(2/85)/(((o**7*o)/o)/o**(-4)) assuming o is positive.
o**(37063/2805)
Simplify (z*z**(-1/16)*z/(z/(z/(z**(-4/5)/z)*z)*z)*z**8*z**(-5))**(-2) assuming z is positive.
z**(-539/40)
Simplify ((j**(-6/11)/j*j**(-2/27))/(j**1)**(-49))/((j**2*j)**35*((j**(-2/3)/j)/j)/(j**6*j)) assuming j is positive.
j**(-14242/297)
Simplify (m**(-1/55))**4/((m/(m**(-25)/m*m*m)*m*m*m*m)/m*m**(2/23)) assuming m is positive.
m**(-35622/1265)
Simplify n*n*n/n**1*n/(n**(-1)*n)*n**(-3/8)/(n*n**8*n)*(n**(-8)/n**2)**(-17/3) assuming n is positive.
n**(1183/24)
Simplify (n**1)**(12/11)*(n**(-1))**(3/47)*((n*n**(2/21))/(n/((n**(-7)/n)/n)))/(n/n**0)**(-6/5) assuming n is positive.
n**(-362498/54285)
Simplify ((n**(-1)*n)/n)**21/(n*n**1*n*n*n**(-2/9))*(n**(-2))**(-9/7)/(n**(-3)/n**(-1/9)) assuming n is positive.
n**(-1217/63)
Simplify (t**5*t*(t**(-7)*t)/t)**(-6/11)/(t/(t/t**(-7)*t)*t**(-3/2)*t**(-5)/(t/(t**(-2/15)/t))) assuming t is positive.
t**(5669/330)
Simplify ((h**13*h*h**(-8))**(9/11))**28 assuming h is positive.
h**(1512/11)
Simplify (((c*c*c**(-2/13)*c)/c*c)/c**(-1)*(c**(-1/2)/c)**(-5/2))/((c*(c**(2/21)/c)/c*c*c/c**4)/(c/(c*c*c*(c*c**(-1/3)*c)/c*c))**46) assuming c is positive.
c**(-172717/1092)
Simplify h**(11/5)/h**33*h*h**21*h**8*h assuming h is positive.
h**(1/5)
Simplify (r**(1/37)*r*r/r**18*r*r**(1/8)/(r/(r*r*(((r/r**12*r)/r)/r)/r*r)))**(5/6) assuming r is positive.
r**(-38255/1776)
Simplify (((r/r**8)/(r*r*r/r**(1/4)*r*r))/(r**(-7)*r*r/(r/r**(-8))*r))/((r/(r*r**(-1/3)))**(-43))**(-27/4) assuming r is positive.
r**(-191/2)
Simplify (v**(-2/25)*v**(-1)*v/v**(-2/7)*v*v**(-2/29))/((v*(v**(-2/5)/v)/v)**(-42)/(v**(1/3)/v*v)**11) assuming v is positive.
v**(-822098/15225)
Simplify (((q/q**10)/q**(1/23))/(q*q**(-3)*q*q/(q*q*(q/(q*q**9/q))/q)))**25 assuming q is positive.
q**(-9225/23)
Simplify ((a/(a*(a*a*a**(-11)*a)/a)*a**(-4/7))/(a*a**(-16)*a**10))**(-1/55) assuming a is positive.
a**(-94/385)
Simplify ((c*c**(-1/7)*c)**(8/7))**(1/34)*(c**(-5)/(c*c**(2/15)))/(c**0*(c/(c*c*c**1*c))/c*c) assuming c is positive.
c**(-38371/12495)
Simplify (k/k**(-13/4)*k*k*(k*k*k/(k/(k**(2/65)/k*k))*k*k)/k*k*(k/(k*k**(-6)/k*k))**(-23))**33 assuming k is positive.
k**(-1095831/260)
Simplify ((u*u*u*u**10)/(u*(((u*u**(-2/35))/u)/u)/u)*(u*u*u**(-8))**(-2/15))**(3/20) assuming u is positive.
u**(78/35)
Simplify (((h**(-14)*h)/h*h*h/(h/h**(-1/14))*h)/(h**(2/7)/h*h*h**(-1/13)*h))**10 assuming h is positive.
h**(-12085/91)
Simplify ((g*g*g*g**(-6)*g)**(5/6)/(g**27/(g/(g/((g**6*g)/g))*g)))**(-12/5) assuming g is positive.
g**52
Simplify (m**(1/4)/m)/(m/m**(-2/9))*m**11/m*m/(m/(m/(m*m**5*m))) assuming m is positive.
m**(73/36)
Simplify ((i**2*i*i*i*i**0*i*i*i*i*i**(-11)*i*i**(-1/2))**(-6/13))**(-45) assuming i is positive.
i**(-405/13)
Simplify (u**(17/2)*u/((u/u**(-1))/u*u*u)*(u/(u/(u*u*u/u**10*u))*u)/u*u*u**(-6/19)*u*u*u)**42 assuming u is positive.
u**(3339/19)
Simplify (x/(x/(x/(x**(-1)/x*x))*x))**(18/11)/(x*x**(1/4)*x*x**(-4)*x)*((x*x/(x/(x**(-4)*x))*x)/(x*(x/x**(-4))/x*x))**18 assuming x is positive.
x**(-5439/44)
Simplify ((r/(r/r**(-2/23)))/(r/(r/r**(-6))*r))**39/((r*r/(r**(2/5)*r))/r*(r*r/(r/(r**6/r)))/r*(r/(r/r**4))/(r/(r**(1/4)/r))) assuming r is positive.
r**(84989/460)
Simplify ((o*o**(-2/7)*o/(o*o**(-4/3)/o)*o)/(o/(o*o**(3/2))*(o/(o*o**(3/2)))/o))**(2/19) assuming o is positive.
o**(338/399)
Simplify (j/(j/(j/j**(-7/6)))*j*j*j)/j**23*((j*j/j**(-2/77))/j)/j**30 assuming j is positive.
j**(-21625/462)
Simplify (r*(r/(r**(-4)/r))/r*r*r**(-5)*r)/(r**1)**(-21)*(r/(r/((r**(-8)*r)/r))*r**(-3/5))/(r*r*r/(r*r**(-1))*r)**(1/6) assuming r is positive.
r**(221/15)
Simplify (((w/(w/w**6))/w)/(((w**(-14)*w)/w)/w)*w**(5/2)/w*w*w/((w/(w/(w**(-1)/w)))/w))**(2/39) assuming w is positive.
w**(53/39)
Simplify ((h/(h/((h**6*h)/h)))/h**4*(h**(-2/17))**14)**(-8) assuming h is positive.
h**(-48/17)
Simplify ((
|
{
"pile_set_name": "DM Mathematics"
}
|
ch is smaller: 1127089 or 0.1?
0.1
Which is greater: 263352 or 1316762/5?
1316762/5
Does -11/340 = -2/7?
False
Are -0.7 and 800904 non-equal?
True
Which is bigger: -1 or -84/83413?
-84/83413
Which is smaller: -3/440491 or 0?
-3/440491
Is 122 < 723?
True
Is 20 not equal to 5052?
True
Is 9048 > 9076?
False
Which is greater: 1 or 32/92531?
1
Which is smaller: -0.1 or -51132?
-51132
Which is smaller: -290 or 0.3632?
-290
Which is greater: -8938/35 or -254?
-254
Is 3895 smaller than -135?
False
Is 573 at most as big as -2/41?
False
Which is smaller: -1 or 56/25367?
-1
Which is bigger: -29966 or -29890?
-29890
Is -1585877 greater than or equal to -1585878?
True
Which is bigger: 226/7901 or 0?
226/7901
Is 38 bigger than 322?
False
Is 5856 at most as big as 5844?
False
Is 137/1963 at least as big as 1?
False
Is 0 bigger than -191/2840?
True
Which is bigger: -129946/5 or -25989?
-25989
Is 366937/5 equal to 73386?
False
Which is greater: -9321 or -9303?
-9303
Which is greater: -76120 or -76121?
-76120
Which is greater: -3612 or -46?
-46
Which is greater: 833565 or 0.2?
833565
Are -6876048 and -6876048 unequal?
False
Are 6.84 and 1/86 unequal?
True
Which is smaller: 601064 or 601066?
601064
Is 9204 at least as big as 9204?
True
Is -72630.67 bigger than 1?
False
Which is smaller: 6/311635 or 1?
6/311635
Is -302 <= -1/631?
True
Which is smaller: -42/1577 or -1?
-1
Is -524/21699 equal to 1?
False
Which is greater: 0 or 5/195556?
5/195556
Is 19/483 smaller than -1?
False
Is -50085 <= -50085?
True
Do -6159/29 and -211 have the same value?
False
Which is smaller: -289890 or -289891?
-289891
Is -945/124 <= -9?
False
Which is bigger: 201240 or 201238?
201240
Is -26689 bigger than -26687?
False
Which is bigger: -1185816 or -1185818?
-1185816
Does -2401 = -2398?
False
Which is smaller: -1/4 or 142460?
-1/4
Is 10/55817 at most 0?
False
Is -266080/7 at least as big as -38012?
True
Which is bigger: 3.077 or -22?
3.077
Do 2/15 and 8483 have the same value?
False
Is -128623 != -128624?
True
Which is greater: -7/5 or -4594?
-7/5
Is 47121 smaller than -13?
False
Are 4/117 and 35/3 equal?
False
Is -11 equal to -404465?
False
Which is smaller: 39514/31 or 1276?
39514/31
Is 13/6465 at most as big as 0?
False
Is 1 < 2/586997?
False
Which is bigger: 0.4 or -0.0835576?
0.4
Which is greater: 96193 or 96194?
96194
Does -2996 = -1/6?
False
Is -1 at least as big as -1/66618?
False
Is 1/4879339 at most 0?
False
Is 210031/4 > 52509?
False
Which is greater: -12006/193 or -63?
-12006/193
Which is bigger: -164/291 or -1?
-164/291
Which is bigger: 492 or -17.5?
492
Which is bigger: 164.4 or 19?
164.4
Which is smaller: 10468/55 or 189?
189
Is -382/4493 > -1?
True
Is -305227 at least -305230?
True
Is -1109 > 12/7?
False
Which is smaller: 56196/505 or 111?
111
Which is smaller: 57371 or 57373?
57371
Which is greater: 54 or -878?
54
Which is bigger: 378 or 556?
556
Which is smaller: 151 or 600?
151
Is 0 <= -1.00673?
False
Is 276121 greater than 276125?
False
Which is smaller: 4/18031 or 1?
4/18031
Is 172101/4 greater than 43024?
True
Which is bigger: -15/43918 or 1?
1
Is 9233 greater than 101550/11?
True
Which is smaller: 4.4 or -2344?
-2344
Which is greater: 0.056904 or -13/6?
0.056904
Are -949480 and -949481 nonequal?
True
Is -1210 < -37?
True
Which is smaller: -112924 or -112937?
-112937
Does -391 = -5.68?
False
Which is bigger: 1 or 3/55658?
1
Which is smaller: 71502 or 2/7?
2/7
Are -1 and -908/4033 non-equal?
True
Is 5/145232 smaller than 0?
False
Is -5898 at most as big as -5898?
True
Is 18853 > 94272/5?
False
Are 2 and 1/369900 nonequal?
True
Is 1273 equal to 1300?
False
Is 34654 equal to 381192/11?
False
Which is greater: -146294 or -146295?
-146294
Are -118 and 82 equal?
False
Which is greater: 80763 or 80760?
80763
Is 0 <= 0.26237?
True
Are -101773 and -4 equal?
False
Is -4629 bigger than -4629?
False
Is -13152 < -13126?
True
Are 3161373 and 3161373 non-equal?
False
Which is bigger: 0.7 or -8/87?
0.7
Is -707473/17 <= -41615?
True
Which is greater: -208 or -133?
-133
Is 1/5985096 at least as big as 1?
False
Which is smaller: 13525/18 or 752?
13525/18
Which is smaller: 0 or 1/54585?
0
Is 184418 equal to 184418?
True
Is -15132/61 smaller than -248?
True
Which is greater: 240245/6 or 40040?
240245/6
Which is smaller: -9049 or -9046?
-9049
Which is greater: -1408749 or -0.1?
-0.1
Is 216 at least -1762?
True
Which is smaller: 0 or -2/17739?
-2/17739
Is -885 bigger than 1606?
False
Is -2933/465 smaller than -5?
True
Is -1 >= 106873?
False
Which is smaller: 3093832 or 3093833?
3093832
Is -9143/7 less than 0.1?
True
Which is smaller: 35/699 or 0?
0
Is 38 less than or equal to 11610/317?
False
Which is greater: -0.19 or -0.07824?
-0.07824
Which is greater: -2886 or -23/3?
-23/3
Which is bigger: -2364665 or -2364662?
-2364662
Which is smaller: 103/2 or 8/7?
8/7
Which is smaller: 11951 or -120?
-120
Is 0.3902 >= -5?
True
Which is greater: -1152 or 45?
45
Is 12544 bigger than 12526?
True
Which is smaller: -9959 or -9944?
|
{
"pile_set_name": "DM Mathematics"
}
|
3652*a + 2
Find the third derivative of -858611640*o**3 - 3*o**2 - 265989*o - 7 wrt o.
-5151669840
What is the third derivative of -19806071*g**3*n**3 + 144282*g**3*n - 35*g*n**2 wrt n?
-118836426*g**3
Differentiate 114*b**4*q**2 + 26245*b**2*q**2 - 35725*q**2 - 175 wrt b.
456*b**3*q**2 + 52490*b*q**2
What is the third derivative of 515272*h**4 - 8710741*h**2 wrt h?
12366528*h
What is the first derivative of -7079001*n - 4999712?
-7079001
What is the derivative of 5511814*d + 1363309?
5511814
What is the third derivative of -169450007*b**3 - 1926*b**2 + 2*b - 5492?
-1016700042
Differentiate 9*d**2*g - 259060*d**2 - 235*g - 733 wrt d.
18*d*g - 518120*d
Find the third derivative of -215333107*b**5 + 1863170*b**2 - 2*b + 15 wrt b.
-12919986420*b**2
What is the third derivative of 79*w**6 + 5*w**5 + 20714*w**3 + 2102401*w**2 + 13*w?
9480*w**3 + 300*w**2 + 124284
What is the second derivative of -2*n*s**4 + 2*n*s - 3*n - 34579359*s**5 + 1980976*s wrt s?
-24*n*s**2 - 691587180*s**3
What is the first derivative of 6*x**2*y**2 + 4*x**2 - 188423*x*y - 4*x + y**2 - 547*y - 937 wrt x?
12*x*y**2 + 8*x - 188423*y - 4
Find the second derivative of -5408*j*w**3 + 92*j*w**2 - 973*j*w - 17*j + 2*w**3 - 2*w**2 wrt w.
-32448*j*w + 184*j + 12*w - 4
Find the first derivative of -1284*d**3 - 702*d + 5883130.
-3852*d**2 - 702
What is the derivative of 72595688*v**4 - 44441612 wrt v?
290382752*v**3
Find the first derivative of 2*i**2*m*w + 7728*i**2*m - 2526*i**2 + 3860*m*w**2 - 404*m*w wrt w.
2*i**2*m + 7720*m*w - 404*m
Find the second derivative of -4*b**4 - b**3 + 45900*b**2 - 746*b - 1698 wrt b.
-48*b**2 - 6*b + 91800
Differentiate -13*v**3 + 73797*v**2 + 7649856 with respect to v.
-39*v**2 + 147594*v
Differentiate 38249840*i**2 - 50272795.
76499680*i
What is the second derivative of 52847293*b**2*i**2 + 2*b*i**2 - 3*b*i + b - 7427*i**2 + 6*i + 1 wrt b?
105694586*i**2
What is the third derivative of 52526215*v**3 - 767*v**2 - 2*v - 16174 wrt v?
315157290
Find the second derivative of -1530626*w**3 + 7*w**2 + 32581804*w wrt w.
-9183756*w + 14
What is the second derivative of 1755416*f**2*v**2*w - 2*f**2*w + 14*f*v**2*w - 28*f*v*w + 548940*f*v - 2*v*w wrt v?
3510832*f**2*w + 28*f*w
Find the second derivative of -7986870*i**2*q*t**2 + 2*i**2*q*t - 55*i**2*q - 4314*t wrt t.
-15973740*i**2*q
Find the second derivative of 250745*c**4*v + 2*c**3*v - 12*c**2*v - 30*c*v - 1361*c + 114*v - 1 wrt c.
3008940*c**2*v + 12*c*v - 24*v
What is the second derivative of -12*o*t**2*w**3 - 540132*o*t**2*w**2 + 22*o*t*w**3 + 8*o*t*w - t*w**3 - 1766*t*w wrt t?
-24*o*w**3 - 1080264*o*w**2
Find the third derivative of -s**3*t**2 + 3*s**3*t + 38408*s**3 - 94*s**2*t**2 - 11534*s wrt s.
-6*t**2 + 18*t + 230448
Find the third derivative of 1285326*m**4 - 130*m**3 + 562714060*m**2.
30847824*m - 780
Find the second derivative of -15*a**2*c**3 - 76751*a**2*c**2 + 4008358*a**2*c - a**2 + 2*c wrt c.
-90*a**2*c - 153502*a**2
What is the third derivative of -48137059*q**4 + 16796766*q**2 wrt q?
-1155289416*q
Differentiate -171247590*f - 222384601.
-171247590
What is the second derivative of -728845*b**3 - 2378776*b + 3?
-4373070*b
Find the third derivative of -20*u**4 - 29013*u**3 - 85040873*u**2.
-480*u - 174078
Find the first derivative of 2571319*c**2*d*l**2 - 3*c**2*d*l - 2*c**2*l - 3*c*l**2 + 201*c*l + 981 wrt d.
2571319*c**2*l**2 - 3*c**2*l
Find the second derivative of 16*a**3*u**2 - 3*a**3*u - 2*a**3 + 3*a**2*u - 2383632*a*u**2 + 4*a*u - 2*u + 329 wrt u.
32*a**3 - 4767264*a
Find the third derivative of 39140158*v**3 - 6243229*v**2 wrt v.
234840948
Differentiate -2280428*z + 6466004 wrt z.
-2280428
What is the third derivative of 172904174*d**3*q**3 - d**3*q**2 + 3*d**2 - 1218*d*q**3 + 9600*d*q**2 - 2*q**2 wrt d?
1037425044*q**3 - 6*q**2
What is the third derivative of -15093022*b**3 - 17705913*b**2 - 1 wrt b?
-90558132
What is the first derivative of 4376330*j**2*r - 127350316*j**2*s - j*r*s + j*s - 4*r wrt s?
-127350316*j**2 - j*r + j
Find the first derivative of -n**2 + 32429133*n*u**3 + 66487975*u**3 wrt n.
-2*n + 32429133*u**3
Find the third derivative of -25645*c**3*o**4 - 48967*c**3 - 144*c*o**5 + 44*c*o**2 wrt o.
-615480*c**3*o - 8640*c*o**2
Find the third derivative of -453*z**6 + 13*z**5 + z**4 + 2*z**2 + 501467.
-543
|
{
"pile_set_name": "DM Mathematics"
}
|
te the highest common divisor of 3 and 123.
3
What is the greatest common factor of 9 and 72?
9
Calculate the highest common divisor of 408 and 24.
24
Calculate the greatest common divisor of 17 and 35513.
17
What is the greatest common divisor of 42 and 702?
6
Calculate the greatest common factor of 3888 and 1188.
108
What is the greatest common divisor of 325 and 11?
1
What is the highest common divisor of 3604 and 318?
106
Calculate the highest common factor of 176 and 121.
11
What is the highest common divisor of 52 and 338?
26
What is the highest common divisor of 956 and 4?
4
Calculate the highest common divisor of 275 and 33.
11
What is the greatest common divisor of 102 and 18?
6
What is the highest common factor of 85 and 1955?
85
Calculate the greatest common factor of 63 and 357.
21
Calculate the greatest common factor of 118 and 1357.
59
What is the greatest common divisor of 246 and 162?
6
Calculate the greatest common divisor of 12545 and 195.
65
What is the greatest common divisor of 2480 and 80?
80
What is the greatest common divisor of 81 and 135?
27
What is the greatest common divisor of 101 and 6161?
101
Calculate the greatest common factor of 105 and 385.
35
What is the highest common divisor of 259 and 35?
7
What is the highest common divisor of 7 and 1841?
7
What is the highest common divisor of 171 and 45999?
171
Calculate the highest common divisor of 1053 and 9.
9
What is the highest common divisor of 82 and 205?
41
Calculate the highest common divisor of 95 and 70.
5
Calculate the greatest common divisor of 98 and 42.
14
Calculate the highest common divisor of 77 and 7.
7
Calculate the greatest common factor of 9 and 369.
9
Calculate the highest common factor of 4 and 110.
2
What is the highest common divisor of 105 and 32865?
105
What is the greatest common factor of 2 and 503?
1
What is the greatest common divisor of 938 and 14?
14
What is the highest common factor of 310 and 730?
10
Calculate the highest common divisor of 22892 and 472.
236
What is the highest common factor of 164 and 8938?
82
Calculate the greatest common factor of 3657 and 138.
69
What is the greatest common divisor of 4 and 164?
4
What is the highest common divisor of 3108 and 168?
84
What is the highest common divisor of 48 and 48?
48
What is the highest common divisor of 9 and 3231?
9
Calculate the greatest common factor of 7 and 2.
1
What is the greatest common factor of 48 and 79536?
48
What is the greatest common factor of 81 and 45?
9
What is the greatest common factor of 84 and 36?
12
What is the highest common divisor of 47 and 3901?
47
Calculate the greatest common divisor of 24 and 136.
8
What is the greatest common factor of 32 and 400?
16
Calculate the highest common factor of 30 and 195.
15
Calculate the greatest common divisor of 6346 and 152.
38
Calculate the greatest common factor of 41662 and 74.
74
What is the highest common divisor of 20 and 470?
10
What is the highest common divisor of 468 and 24?
12
What is the greatest common factor of 94 and 1175?
47
Calculate the highest common divisor of 3732 and 24.
12
Calculate the greatest common factor of 252 and 448.
28
Calculate the highest common divisor of 1380 and 60.
60
What is the highest common factor of 126 and 18?
18
Calculate the highest common factor of 170 and 1462.
34
What is the highest common factor of 1342 and 11?
11
Calculate the highest common divisor of 65 and 520.
65
What is the greatest common divisor of 44 and 5984?
44
Calculate the greatest common factor of 76 and 4161.
19
Calculate the highest common factor of 18040 and 330.
110
Calculate the greatest common factor of 2664 and 504.
72
What is the greatest common divisor of 1122 and 510?
102
What is the highest common divisor of 26 and 1573?
13
Calculate the highest common factor of 345 and 1620.
15
What is the highest common divisor of 11 and 1793?
11
Calculate the greatest common divisor of 341 and 88.
11
Calculate the greatest common divisor of 384 and 276.
12
Calculate the highest common factor of 48 and 2432.
16
What is the highest common divisor of 2 and 2?
2
What is the greatest common factor of 71 and 355?
71
What is the highest common factor of 32 and 6104?
8
Calculate the highest common factor of 2366 and 507.
169
Calculate the highest common factor of 60 and 4044.
12
What is the greatest common divisor of 46 and 230?
46
Calculate the greatest common divisor of 12 and 960.
12
Calculate the highest common factor of 22 and 88.
22
What is the highest common divisor of 1720 and 40?
40
What is the highest common divisor of 108 and 6588?
108
Calculate the highest common factor of 2772 and 99.
99
What is the greatest common factor of 11775 and 165?
15
Calculate the highest common factor of 1424 and 48.
16
What is the greatest common factor of 26 and 130?
26
What is the highest common factor of 8 and 1076?
4
What is the highest common divisor of 2632 and 28?
28
Calculate the highest common divisor of 263 and 8.
1
Calculate the highest common factor of 37590 and 70.
70
What is the greatest common divisor of 184 and 8?
8
Calculate the highest common factor of 6786 and 117.
117
Calculate the greatest common factor of 57 and 96.
3
What is the greatest common factor of 45 and 594?
9
Calculate the greatest common divisor of 9 and 333.
9
Calculate the highest common divisor of 5103 and 84.
21
What is the highest common factor of 30751 and 115?
23
Calculate the highest common factor of 12 and 534.
6
Calculate the greatest common divisor of 12 and 156.
12
What is the greatest common factor of 403 and 195?
13
Calculate the highest common divisor of 15 and 1350.
15
Calculate the highest common factor of 1140 and 36.
12
What is the greatest common divisor of 18 and 22?
2
Calculate the greatest common factor of 7060 and 80.
20
What is the greatest common factor of 45 and 3585?
15
What is the highest common factor of 36 and 114?
6
What is the highest common factor of 53 and 4?
1
Calculate the highest common divisor of 20 and 670.
10
Calculate the highest common divisor of 40 and 32.
8
What is the highest common divisor of 7 and 2261?
7
What is the greatest common factor of 871 and 52?
13
What is the greatest common divisor of 10 and 2225?
5
What is the greatest common factor of 252 and 1602?
18
What is the greatest common factor of 940 and 1060?
20
What is the highest common factor of 10 and 185?
5
What is the greatest common divisor of 861 and 41?
41
Calculate the greatest common divisor of 1379 and 17533.
197
What is the greatest common factor of 624 and 2418?
78
What is the greatest common divisor of 2040 and 1920?
120
Calculate the greatest common factor of 782 and 17.
17
Calculate the highest common divisor of 57 and 456.
57
What is the highest common divisor of 406 and 84?
14
What is the greatest common factor of 1339 and 91?
13
Calculate the greatest common divisor of 270 and 60.
30
Calculate the highest common divisor of 58 and 2842.
58
Calculate the highest common factor of 210 and 8400.
210
What is the highest common factor of 290 and 2755?
145
What is the greatest common divisor of 152 and 7220?
76
What is the greatest common factor of 18 and 1974?
6
What is the highest common divisor of 72 and 992?
8
What is the greatest common divisor of 22911 and 21?
21
Calculate the highest common factor of 101 and 404.
101
Calculate the highest common divisor of 126 and 140.
14
What is the highest common factor of 3 and 177?
3
What is the highest common divisor of 312 and 1976?
104
What is the greatest common factor of 44 and 32?
4
Calculate the highest common factor of 175 and 225.
25
What is the greatest common divisor of 36 and 45?
9
What is the highest common divisor of 2 and 5?
1
What is the highest common divisor of 280 and 104?
8
What is the highest common factor of 65 and 117?
13
Calculate the greatest common divisor of 1188 and 44.
44
Calculate the greatest common factor of 375 and 75.
75
What is the greatest
|
{
"pile_set_name": "DM Mathematics"
}
|
10010011110000010100100?
-1001110010011110000010100101
In base 14, what is -c4d923 + 5?
-c4d91c
In base 16, what is -292 + 81a4?
7f12
In base 4, what is -11 + 230133230011?
230133230000
In base 13, what is -346aab1 + 1?
-346aab0
In base 15, what is -2a1 + 3c98?
39e7
In base 15, what is -25 - -52b00?
52aca
In base 16, what is 2ddd + -cb8?
2125
In base 9, what is -556325 - 7?
-556333
In base 12, what is 24 + -73599?
-73575
In base 2, what is 1001001001110010110 + 11011101100?
1001001101010000010
In base 15, what is -141a18c - -6?
-141a186
In base 14, what is 85dc8 - 1c?
85daa
In base 11, what is 832345 - 20?
832325
In base 15, what is -3a - aee22?
-aee5c
In base 6, what is -3 + 3205243?
3205240
In base 14, what is 3582 - -3?
3585
In base 13, what is 5 - 3777a37?
-3777a32
In base 15, what is -3e02 - 4b16?
-8a18
In base 7, what is 465 - 503034?
-502236
In base 9, what is 1776 - -4460?
6346
In base 12, what is 11b35 + 10b?
12044
In base 8, what is -24540 - -604?
-23734
In base 2, what is 100 - -100110111110101110101111010?
100110111110101110101111110
In base 3, what is 1200222000021 + -20021?
1200221210000
In base 10, what is -2 - 741239?
-741241
In base 13, what is -2 + -1a6964c4?
-1a6964c6
In base 3, what is -120020202 + -1002120?
-121100022
In base 2, what is -101 - 10100110110011000100111?
-10100110110011000101100
In base 14, what is -3172aa2 - -3?
-3172a9d
In base 4, what is -100100011320 - 10?
-100100011330
In base 4, what is -3122323231 + 1022?
-3122322203
In base 16, what is 93af4 + 1a?
93b0e
In base 7, what is -106226160 + 15?
-106226142
In base 9, what is -365205058 + 3?
-365205055
In base 16, what is -155 + -3a32?
-3b87
In base 13, what is 3 + -35622b9?
-35622b6
In base 8, what is -7742 + -1175750?
-1205712
In base 11, what is -194 - 52545?
-52729
In base 7, what is 41332 + 116426?
161061
In base 10, what is -2153168 + 37?
-2153131
In base 15, what is 141 + 470b8?
47209
In base 9, what is 11 + 16338244?
16338255
In base 15, what is 10d7b0 - 3c6?
10d3d9
In base 3, what is 2 + -101220002021021?
-101220002021012
In base 8, what is 2 + -337366077?
-337366075
In base 9, what is 214 - -12828101?
12828315
In base 12, what is -2435758 - 4?
-2435760
In base 15, what is 2 - -4c0510?
4c0512
In base 15, what is -aa76d - -26?
-aa747
In base 13, what is 3908ca6 - 1?
3908ca5
In base 3, what is 1101 - 1201012210201111?
-1201012210200010
In base 14, what is 67 - -532c5?
5334c
In base 16, what is -4c2 - -9803?
9341
In base 9, what is 31087370 - 1?
31087368
In base 11, what is -254110a3 + -2?
-254110a5
In base 14, what is 8 + 95033d?
950347
In base 6, what is 1004 - 105003?
-103555
In base 15, what is -60d0de + -5?
-60d0e4
In base 3, what is -10221201012102212 - 0?
-10221201012102212
In base 11, what is 8756822 - 4?
8756819
In base 11, what is -7480 - 2a78?
-a448
In base 8, what is -1337 - -22013?
20454
In base 2, what is -1000001000100001010001100 + 101001?
-1000001000100001001100011
In base 15, what is 5653 + -24e?
5404
In base 2, what is -1101101011101001110100110010 + 10?
-1101101011101001110100110000
In base 14, what is 8b0890c + -4?
8b08908
In base 11, what is 1326 - -347a93?
349309
In base 16, what is -6 - -ea053d?
ea0537
In base 14, what is -8 + 33875d?
338755
In base 2, what is 11101100001110001 - 11010?
11101100001010111
In base 15, what is 1b20a + -85?
1b175
In base 7, what is 2 + 22123252?
22123254
In base 7, what is -2 - -210654336?
210654334
In base 3, what is 211012102012010 - -221?
211012102020001
In base 16, what is -1133ab + -8?
-1133b3
In base 10, what is -2777 - 10811?
-13588
In base 3, what is 20010122110121 + 1?
20010122110122
In base 13, what is 65896 + 6aa?
66273
In base 13, what is 4977c1 - -47?
497838
In base 6, what is 2100244333 + 5?
2100244342
In base 4, what is -123 + 13212320?
13212131
In base 7, what is -2551203 + 21355?
-2526515
In base 8, what is 21 - 7353502?
-7353461
In base 12, what is -18a - -136a?
11a0
In base 15, what is 4 - -473db5e?
473db63
In base 4, what is -103201320 - 13012?
-103220332
In base 7, what is -112 - 5511405?
-5511520
In base 14, what is 6242 + -555?
5acb
In base 11, what is 25967 - 12293?
13684
In base 14, what is 17b - -5da1d?
5db9a
In base 8, what is 447 - -1561462?
1562131
In base 14, what is 115d9 + c77?
12472
In base 10, what is 65 + 398425?
398490
In base 8, what is 1777 - 453304?
-451305
In base 11, what is -172a + -122a?
-2959
In base 4, what is -2210 + -31023203?
-31032013
In base 2, what is 11 + 1101100010100101111110?
1101100010100110000001
In base 5, what is -111334 + -41424430?
-42041314
In base 6, what is -242031 + 12231?
-225400
In base 9, what is -35 - 6383610?
-6383645
In base 14, what is -3 + -64b71d?
-64b722
|
{
"pile_set_name": "DM Mathematics"
}
|
lve l*j = j for j.
0
Let k(s) = s**2 - 7*s + 7. Let m be k(7). Suppose w + 3*w + 57 = 5*g, -3*g - 5*w + 49 = 0. Let x = g - m. Solve -x = -n - 2*n for n.
2
Let t = 282 + -265. Solve -63 = 16*s + t for s.
-5
Let l be (0 - 2)/((-2)/21). Suppose -4*k - q + 16 = 0, 33 = k + 5*q + 10. Let m(y) = -y**3 - y**2 + y + 6. Let d be m(0). Solve -l + d = k*s for s.
-5
Let k = -240 - -240. Solve 0 = 2*v + 4 - k for v.
-2
Let i(r) be the first derivative of 2*r**4 + r**3 - 2*r**2 + 2*r + 62. Let u be i(1). Suppose 2*z + n + 5 = z, -z + 5*n = -25. Solve 3*d - u = -z*d for d.
3
Let z = -28 + 128. Let m = z - 95. Solve -2 = -a - m for a.
-3
Let y(f) = f**2 - 45*f. Let c be y(45). Solve c = 8*k + 2 - 42 for k.
5
Let r(z) = -z - 3. Let u be r(-6). Let i(p) = -p**2 + 9*p + 10. Let m be (10/(-3))/(1/(-3)). Let l be i(m). Solve l = -u*k - k for k.
0
Let p = 122 + -66. Suppose p = -5*y + 9*y. Suppose -4*f = -2*i - y, i - 4*f + f = -12. Solve 4*n + i + 1 = 0 for n.
-1
Let j(o) = o**2 - 8*o + 3. Let f be j(4). Let d = 19 + f. Let i be (10/15)/(1/3). Solve -i*t - d = t for t.
-2
Suppose 0 = -5*k - 5*t + 60, 3*k = 5*k + 4*t - 34. Suppose -5*r = -2*z - 17, 3*r + 2*z + k - 30 = 0. Suppose -r*l = 11 - 51. Solve -3*b + l = b for b.
2
Let z be (0 + 1 - 2)/(64/(-3008)). Solve -z*b + 49*b + 10 = 0 for b.
-5
Let c be (-2)/3*2*(-360)/160. Solve 0 = -5*t + c*t for t.
0
Suppose -212*r + 9 = -209*r. Solve r*m - 2*m = -5 for m.
-5
Let m(v) = 5*v**3 + 13*v - 13. Let h be m(1). Let b(c) = c**2 - 8*c + 2. Let t be b(8). Solve t*i + h + 3 = 0 for i.
-4
Suppose 0 = -i + 3*q - 4, -i + 0*q = -5*q + 10. Suppose i*c = -0 + 15. Suppose 0 = 2*x + c*x. Solve 3*f - 1 - 11 = x for f.
4
Suppose -20 = 16*s - 21*s. Suppose -4*t = s*t + 4*t. Solve t*d = -d for d.
0
Let u(f) = -f**2 - 4*f + 5. Let w be u(-5). Suppose -1147*d = -1142*d + 30, -4*g = -3*d - 38. Solve r - 1 + g = w for r.
-4
Suppose -4*p + 3*q + q = -24, 0 = 2*p - 5*q - 21. Suppose p*y + 3 + 3 = -3*o, -o + 8 = -4*y. Solve o = -2*s - s - 12 for s.
-4
Let m(o) = -o**2 - 14*o - 13. Let t be m(-13). Suppose t = j + 5*x - 20, -2*x = -2*j - 3*x + 4. Suppose j = 5*n - n. Solve n*u - 20 = 5*u for u.
-4
Let g = 337 - 301. Solve -6*l + g = 12 for l.
4
Let p be (-1)/(-2)*(0 + -2) - -31. Suppose 3*k - 48 = -p. Solve 4*n + k = 7*n for n.
2
Let r be (-3 - -16) + (-5 - 4/(-2)). Solve -5*o = -0*o - r for o.
2
Suppose o = 2*u - 2 + 12, 5*o - u - 14 = 0. Let h(z) = -z + 1. Let m = 3 - 3. Let t be h(m). Solve -o*y - 9 + t = 0 for y.
-4
Suppose -5*o + 65 = -2*n, -3*o + 2*n - 1 = -36. Solve -11*r + 40 = -o for r.
5
Let n be 71 + (-9)/(-3) - 3. Suppose -n*j = -68*j - 9. Solve -j*s - 20 = s for s.
-5
Suppose -4*s - 20 = -p, 13*s - 9*s + 36 = 5*p. Solve -3*m = -4*m - p*m for m.
0
Let w = -415 - -422. Solve w*m - 11 - 24 = 0 for m.
5
Let v = 5 - -1. Suppose -5*x + 4*d = -5 + 17, -5*x + d - 3 = 0. Suppose 5*w + 7 + 8 = 0, x = f + w. Solve -v = a - f*a for a.
3
Suppose -20 = -y - 4*y. Suppose 15 + 10 = 4*v + 3*g, -19 = -y*v - g. Solve -2*t + 12 = v for t.
4
Suppose 33*c = 29*c + 16. Let u be (6/9)/(1/3). Solve -4*z + c = -u*z for z.
2
Suppose 2 = 2*c, 10*t - 5*c = 7*t + 16. Solve -3*h = 13 - t for h.
-2
Let l = 169 + -164. Let g(k) = k + 1. Let n be g(2). Suppose 4*q = n + l. Solve -q*x + 10 = 3*x for x.
2
Let y be (-26)/(-1)*6*(-5)/(-60). Let k = -434 + 449. Solve -y*s + 8*s + k = 0 for s.
3
Let d = 0 + 0. Let t be 0 + (d - 3*-1). Suppose 2*w + y = -4 + 9, 4*w = -5*y + 7. Solve -2*p + t*p = -w for p.
-3
Let m be 1 - 1/((-2)/8). Suppose -1 - m = -2*d. Solve -4*c + d*c + 1 = 0 for c.
1
Let b(n) = -11*n**3 - n**2 - 4*n - 2. Let f be b(-1). Solve 0 = 5*p - p - f for p.
3
Let l be -18 + (4/1 - 2). Let p(c) = 3*c + 8. Let f be p(-6). Let o = f - l. Solve 4*y = y - o for y.
-2
Let l = 6 - -1. Suppose 0 = 84*p - 81*p - 15. Solve p*u = -l - 13 for u.
-4
Suppose 0 = 49*v - 56*v. Solve -2*j - j - 6 = v for j.
-2
Suppose 53 = -28*g + 417. Solve -9*n - 12 = -g*n for n.
3
Let i be (-2)/(-8) - (206/(-8) - -7). Solve -5*k + i = 9 for k.
2
Let a(q) = 18*q. Suppose -2*x -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1?
-206216561
In base 3, what is 1022 - 1122120001021?
-1122112222222
In base 4, what is -10 + 10133220211?
10133220201
In base 7, what is 366622 - -20662?
420614
In base 4, what is 3330331 + -11111?
3313220
In base 10, what is 4192815 - 15?
4192800
In base 13, what is -25c + 31795?
31536
In base 2, what is -11010110111011100100001 + 100?
-11010110111011100011101
In base 12, what is -16536 + -237?
-16771
In base 4, what is 20330032 + 2131?
20332223
In base 10, what is -4 + 80333117?
80333113
In base 14, what is 5267a - -19ac?
54248
In base 10, what is -487 + -9102?
-9589
In base 8, what is 176 + -470230?
-470032
In base 9, what is 15077 - 636?
14341
In base 8, what is 4277 + 567555?
574054
In base 11, what is 356 - -2406?
2761
In base 8, what is -4 - -6700004?
6700000
In base 3, what is 1202 - -22112001110?
22112010012
In base 13, what is -4 - aaa621b?
-aaa6222
In base 6, what is -4352421403 - 0?
-4352421403
In base 10, what is -3123 - 7850?
-10973
In base 4, what is -3 + 20033320300?
20033320231
In base 7, what is 0 + -24425241?
-24425241
In base 8, what is 272322323 - -10?
272322333
In base 6, what is -502210300 + 1?
-502210255
In base 11, what is 10a87a2 + 1?
10a87a3
In base 5, what is 104214100 + -333?
104213212
In base 8, what is 1264 + 4?
1270
In base 2, what is 100111001001110010000110110 + 0?
100111001001110010000110110
In base 8, what is -26776436 - 5?
-26776443
In base 8, what is 5 + -225076455?
-225076450
In base 2, what is 11 + -111011001111110000000011001?
-111011001111110000000010110
In base 12, what is -2 + 2445062a?
24450628
In base 12, what is b3 + 23457?
2354a
In base 15, what is 6cd2 + 32d?
7110
In base 16, what is 2cc5264 + -4?
2cc5260
In base 11, what is -5 + 8a933875?
8a933870
In base 12, what is 19033b3 + -7?
19033a8
In base 7, what is 434503 + -1066?
433404
In base 13, what is -5 - 143983?
-143988
In base 14, what is -4ad2b - 4b?
-4ad78
In base 3, what is 21122200102121201 - -2?
21122200102121210
In base 6, what is -11220315 - 302?
-11221021
In base 9, what is 11242023 + -2?
11242021
In base 11, what is -11 + -1a556a7?
-1a55708
In base 4, what is 2001 - 30013113?
-30011112
In base 5, what is 1334 - -1130404?
1132243
In base 9, what is 1063 - -22622?
23685
In base 6, what is -2 - 54425253?
-54425255
In base 8, what is 5710 - 17612?
-11702
In base 3, what is 102122211001100 - 21?
102122211001002
In base 5, what is 12104 + 20243?
32402
In base 12, what is -1 + -157765a1?
-157765a2
In base 10, what is -659 + -31474?
-32133
In base 2, what is -110001111011010 - -10100100?
-110001100110110
In base 13, what is -3 - -3a7608b2?
3a7608ac
In base 6, what is -43211 - -152235?
105024
In base 6, what is -2343 + 3555?
1212
In base 8, what is 25 - 27063674?
-27063647
In base 16, what is -1a18b1 + 3?
-1a18ae
In base 14, what is -5 - -70a2a4?
70a29d
In base 16, what is a580fe + -5?
a580f9
In base 16, what is -3ac + 52a8?
4efc
In base 9, what is -1 + 40451140?
40451138
In base 10, what is -3956212 - 0?
-3956212
In base 16, what is e + 3c06093?
3c060a1
In base 8, what is 10331 - 2555?
5554
In base 12, what is -6580682 + -1?
-6580683
In base 2, what is 11101001001011011100 - -101?
11101001001011100001
In base 16, what is -1e10 - 194?
-1fa4
In base 2, what is 1000000 - -10011001010101011?
10011001011101011
In base 15, what is 1b0981 + 6?
1b0987
In base 7, what is -2 - -23510364?
23510362
In base 8, what is 4677 + 24470?
31367
In base 15, what is 893 - -d97e?
e322
In base 14, what is -72241 + 0?
-72241
In base 16, what is -7b3e2 - -1a?
-7b3c8
In base 6, what is -35 - 115203244?
-115203323
In base 15, what is 1d - 22c683?
-22c665
In base 14, what is 1d9d1dc0 - -5?
1d9d1dc5
In base 14, what is 2688 - -18cc?
4176
In base 9, what is -6 + 24110880?
24110873
In base 10, what is 250819529 - 0?
250819529
In base 14, what is -36 + 324ab?
32475
In base 16, what is -1e - -4c3492?
4c3474
In base 5, what is 234200230 - -2?
234200232
In base 15, what is 14b24cce + 0?
14b24cce
In base 6, what is -11 - 222420402?
-222420413
In base 6, what is -4 + -223025144?
-223025152
In base 10, what is 2619114 - 5?
2619109
In base 11, what is -7 + 1334433?
1334427
In base 3, what is -202111 + -1002022202202?
-1002100112020
In base 3, what is -1120200222 - -101121011?
-1012002211
In base 6, what is 204 + 41202251?
41202455
In base 15, what is -1239e30 - 17?
-1239e47
In base 12, what is -2612ba20 - 3?
-2612ba23
In base 3, what is -10 - -102110101211221022?
102110101211221012
In base 3, what is -11010010122 - -1222102?
-11001011020
In base 9, what is -5077 - 2103?
-7181
In base 3, what is -1020 + -2010110020202?
-2010110021222
In base 12, what is 32 + 32491b?
324951
In base 14, what is -728d + -1b61?
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 0 = -3*a + 2*o + 4, 3*a + 10 = 8*a - 5*o. Suppose 2*d + 3*d - g = a. What is the tens digit of d?
5
Let h(o) = o**3 + 30*o**2 + 20*o - 60. What is the units digit of h(-28)?
8
Let h = -21 + 24. Suppose q - 3*q + h = 3*x, 5*q + 2*x = 2. Suppose q*t + y = 5*t - 176, 173 = 5*t + 2*y. What is the tens digit of t?
3
Let k(u) = 3*u**3 + 2*u**2 - u + 4. Suppose -4*b = -b - 9. Let t be k(b). Suppose -q = 5*v - 2*q - t, 2*v - 4*q - 58 = 0. What is the tens digit of v?
1
Suppose -2*u + 45 = -205. Let v = -59 + u. What is the units digit of v?
6
Let a = -3 + 5. Suppose -2*m - 10 = a*u, -u = 4*u - 3*m + 1. What is the units digit of (-3)/4*2*u?
3
Suppose 38*u - 40*u + 706 = 0. What is the hundreds digit of u?
3
Suppose 4*x - 106 = 4*b - 9*b, 2*b + 4*x = 52. Let w(l) = -l + 3. Let r be w(6). Let o = r + b. What is the units digit of o?
5
Suppose -6*p + 1814 = -3076. What is the hundreds digit of p?
8
Let a = 5182 - 2368. What is the hundreds digit of a?
8
Let r be (4/5)/(3/75). Let a = r + -5. Let i = a + -8. What is the units digit of i?
7
Suppose 0 = -5*g - 4*m - 3 - 114, -3*g = -3*m + 81. Let r(z) = 13*z + 4. Let h be r(3). Let o = g + h. What is the tens digit of o?
1
Let z = 19 - 17. Suppose -4*c = z*y - 94, 6*c + 47 = y + c. What is the tens digit of y?
4
Let m(d) = 21*d**2 - 13*d - 145. What is the hundreds digit of m(-6)?
6
Let j(p) = 23*p + 2774. What is the thousands digit of j(0)?
2
Let l(c) be the second derivative of c**4/12 - c**3 - 3*c**2/2 + 4*c. Let x be l(5). What is the units digit of 12/x*(-15 + -1)?
4
Let a be (-13)/(-78) + (-3310)/(-12). Suppose a = 2*y + 2*y. What is the tens digit of y?
6
Suppose 0 = -2*z - 2*z + 2*d - 4, d + 10 = -2*z. Let x be 1/z - (-388)/12. Suppose 0 = -a + 4*b + 34, a + b - x = -a. What is the units digit of a?
8
Let y(u) = u**3 - 5*u**2 - 9*u - 2. What is the tens digit of y(7)?
3
Suppose 0 = -33*a - 24*a + 95019. What is the thousands digit of a?
1
Suppose -31217 = -76*h + 23*h. What is the units digit of h?
9
Let v = -86 + 151. Suppose 4*m = -5*h + 25, -v = -5*m + 5*h - 0*h. What is the units digit of m/(-1)*(-70)/20?
5
Let s(w) = 28*w**2 - 25*w + 3. What is the hundreds digit of s(-6)?
1
What is the units digit of 462/35*-1*400/(-6)?
0
Suppose 3*h - 1069 + 115 = 0. What is the tens digit of h?
1
Let r(q) = -39 + 23 + 19 - 3*q - 2*q**2. What is the units digit of r(0)?
3
Let n = 9436 + -5036. What is the units digit of n?
0
Let r(d) = 131*d - 58. What is the hundreds digit of r(6)?
7
Let h = 5 + 1. Suppose 254 - 80 = h*g. What is the tens digit of g?
2
Suppose -5*b + 32 = 7. Suppose -b*h - 69 = -5*m + 86, m + 5*h = 37. What is the units digit of m?
2
Suppose 5*m = 3*b + 735, 7*b - 3*b = 20. What is the tens digit of m?
5
Let t(n) = 729*n**2 + 86*n + 175. What is the tens digit of t(-2)?
1
Let m(v) = -2*v**3 - 8*v**2 - 2*v - 1. What is the tens digit of m(-6)?
5
Suppose 10*a = 13402 + 14458. What is the hundreds digit of a?
7
Let q(l) = l**3 - 6*l**2 - 8*l + 1. Let j be q(7). Let x(s) = -s**2 - 7*s - 6. Let w be x(j). Suppose w = -0*k - 3*k + 51. What is the tens digit of k?
1
Let z(w) = w**2 - 13*w - 1. Let m = -60 + 75. What is the tens digit of z(m)?
2
Let u = 17 + -17. Let d = u + 75. What is the tens digit of d?
7
Let s(y) = 2*y**2 - 14*y + 7. Let v be s(7). Suppose -17 = -v*n + 81. What is the tens digit of n?
1
Let s = -124 - -54. Let h = 105 + s. Let p = h - 13. What is the units digit of p?
2
Suppose 37 = -2*v + 5*v + 5*b, 3*v - 4*b = 19. Let c(r) = r**2 - 9*r - 2. Let x be c(v). What is the units digit of x/8 + 81/4?
0
Let q(i) = 73*i**2 - i. Let u be q(1). Suppose 0 = 5*h - 152 - 43. Let d = u - h. What is the tens digit of d?
3
Let p = 6 - 12. Let d = p + 12. What is the units digit of d?
6
Let w(q) = -15*q - 42. Suppose 5*h = -0*f - 3*f - 75, -17 = h + f. What is the units digit of w(h)?
8
What is the hundreds digit of (-29)/(145/(-1100)) - 5?
2
Let o = 1125 + -630. Suppose 6*r + 403 = 4*u + 3*r, -5*u - 5*r = -o. What is the units digit of u?
0
Suppose -3*p = -5*n + 1928, n = p - 3*p + 383. Suppose -4*x - n = -9*x. What is the tens digit of x?
7
Let i = -19 - -29. Suppose -6*j + 3*j + 24 = 0. Let w = j + i. What is the tens digit of w?
1
Let m be ((28/21)/4)/((-1)/(-9)). Suppose 2*b - 13 = -4*q - 3, b = 1. Suppose 2*h + m*k = 32, q*k + 0*k = -2*h + 30. What is the units digit of h?
3
Let k be 284/(4/(-2))*(-115)/46. Suppose -20*x + k = -15*x. What is the tens digit of x?
7
Let j(p) = p**3 + 10*p**2 + 7*p - 16. Let a be j(-9). Suppose -a*m + 202 = -144. What is the units digit of m?
3
Let t = -55 + 70. Suppose 77 = q - t. What is the units digit of q?
2
Suppose 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
iple of n and 2?
8
Suppose 5*z - 219 = -54. What is the smallest common multiple of -6*6/9 + 22 and z?
198
Find the common denominator of 6579/630 + (-1)/7 and -61/74.
370
Let x = 882081 + -17584203/20. Let b = 7261 + -4393. Let u = b - x. Calculate the common denominator of 5/4 and u.
20
Suppose 18 = 5*j - 4*z - 13, 4*j - 4*z - 28 = 0. What is the lowest common multiple of 37 and j?
111
Let g = -51122 + 12115934/237. Let s = -14557/1185 + g. Find the common denominator of -48/7 and s.
35
Let n = -16 - -19. What is the common denominator of 81/4 and (-1449)/(-98)*(-1)/n?
28
Let v(q) = -q**3 - 20*q**2 - 4*q + 1. Let a be v(-20). Calculate the least common multiple of 7 and 18/a + 34/9.
28
Find the common denominator of 2286/8496 + (-6)/(-16) and 11/7.
413
Suppose 8 = 2*s - 6. Let g = 10 - s. Let b = 46 + -35. What is the least common multiple of g and b?
33
Let i(h) be the first derivative of h**4 - 2*h**3/3 + h**2/2 + 3. Let z = 0 + 1. Calculate the smallest common multiple of i(z) and 8.
24
Let h be -2*(-1)/2 - 2640/2856. Let a = 5997/952 + h. What is the common denominator of a and -79/14?
56
Suppose -450*z = -439*z - 2970. What is the least common multiple of z and 50?
1350
Calculate the common denominator of (1*1/20)/(2/(-445)) and -68/175.
1400
Let m be 64*7 + -7 + 10. Suppose -4*h + 2*z - z + m = 0, 0 = -z + 5. Calculate the common denominator of h/(-3)*14/(-24) and -5/6.
6
Let g be 3/((-9)/(-129)) - 4. Let n = -41 + g. Let u = n - -8. What is the least common multiple of 16 and u?
48
Let q(b) = 2*b - 18. Let z be q(14). Suppose -2*v + 10 = -0, -4*v + 86 = 3*p. Calculate the smallest common multiple of 4/z + 972/45 and p.
22
Suppose -4*b = -2*c - 2*c + 24, -3*c - b + 26 = 0. Calculate the least common multiple of (-2 - 20/c)*-4 and 12.
36
Suppose -2*j + 52 = -0*j. Suppose -h = l + 20, -h + 5*l - 18 = j. Let a = -16 - h. What is the least common multiple of 12 and a?
24
Suppose -2*f - 127 = -2*v + 117, -3*v + 365 = -4*f. Calculate the lowest common multiple of 2 and v.
246
Let p = 114 + -93. Calculate the lowest common multiple of 14 and p.
42
Calculate the common denominator of 29/166 and (-13)/195 - (-3459)/(-90).
166
Suppose 4*l = 4*s + 56, -3*s = -4*l - s + 56. What is the smallest common multiple of 22 and 696/l + (-46)/(-161)?
550
Let a = 961 + -14357/15. What is the common denominator of 6/15 + ((-2973)/270 - -4) and a?
90
Find the common denominator of 67/22 and 14/4*-2*55/(-90).
198
Let l(b) be the third derivative of 0*b - 1/15*b**6 - 1/6*b**3 + 0 - 4*b**2 - 1/12*b**4 + 0*b**5. Calculate the least common multiple of l(-1) and 2.
18
Calculate the smallest common multiple of 4*2/(-4 + 6) and 100.
100
Let g(i) = -i**2 + 9*i + 3. Let m be g(3). What is the common denominator of 11/30 and 92/m + (-5 - 56/(-12))?
210
Find the common denominator of (-28)/(-126) + (-673)/72 and (-266)/20 - (-2)/2.
40
Suppose 10*g + 6 = 66. Calculate the least common multiple of g and 2 + 2 + -3 + 11.
12
Let u be 4/1 - 11/(66/72). What is the smallest common multiple of 100 and u*(6/(-8) - (-2)/(-2))?
700
Let z be (6/15)/((-1)/(-20)). Suppose -5*c = -3*c - z. Suppose 2*u - c*u = -52. What is the smallest common multiple of u and 8?
104
What is the least common multiple of (143 - 140) + (8 - 0) and 54?
594
Let n be (5 - 15)/(1 + -3). Suppose -2*x + 55 = n*z + 2*x, -2*z + 4*x = -22. Calculate the lowest common multiple of z and 18.
198
Let d(v) = v**3 - 12*v**2 + 10*v - 6. Let h be d(11). Let k = 12 + h. Find the common denominator of 43/16 and 2/k + (-287)/70.
16
Let x = -3 - -13. Let f be (-16 - -24)*(-1 + (-13)/2). Let t = -58 - f. What is the least common multiple of x and t?
10
Let o = -283376/27 - -10493. Find the common denominator of o and ((-576)/(-216))/(33/(-6) + 1).
27
Let s = 56 + -53. Suppose 10 = -2*a, -4*l + s*a + 16 + 35 = 0. What is the lowest common multiple of l and 14?
126
Suppose -2*b + 69 + 5 = 0. Suppose -3*g + 8 = 6*s - 2*s, 5*s - b = 3*g. What is the common denominator of 38/9 and (-66)/(s*9/6)?
45
Let d = 36 - 29. Suppose d = 7*g - 14. Suppose g*w - 54 = -0*w. What is the least common multiple of 12 and w?
36
Let k(r) = -r**3 - 8*r**2 - 9*r - 4. Let n be 4 + (-3 - -3) - 1. Suppose 21 + 6 = n*m. What is the lowest common multiple of m and k(-7)?
90
Let y be 149069/12*22/33. Let r = -8285 + y. What is the common denominator of r and ((-26)/12)/(1/(-9))?
18
Let d(g) = 31*g**2 - 2*g - 2. Calculate the lowest common multiple of d(-2) and 49.
882
Let n(u) = -19*u**3 + 2*u + 1. Let k be n(-1). Let d be (-7)/3 + (-12)/k. Calculate the common denominator of -85/16 and 2/d - 1352/(-192).
16
Suppose 0*z = -4*d + 3*z + 17, 4*d + 2*z = 22. Suppose 2*v - 3*o - 2 = 4*v, d*o = -20. What is the least common multiple of v and 3?
15
Let y = -1511683/66 - -22905. Find the common denominator of -91/66 and y.
66
Let d = 44 - 9. Calculate the lowest common multiple of ((-4730)/129)/(3/(-18)*4) and d.
385
Suppose 5*r + 0*r = 11375. Calculate the common denominator of 25/6 and r/50*(2 - 21/10).
60
Let i be 5*(-3)/(-30)*18. Let d = -3272 + 13001/4. Calculate the common denominator of d and (-23)/(-3)*i/(-66).
44
Suppose -6*l - 990 = -3096. Calculate the least common multiple of 90 and l.
3510
Suppose 6*z - 2*z - 40 = 0. Let d be ((-4)/7)/((-24)/84). Calculate the smallest common multiple of z and ((-6)/(-18))/(d/72).
60
|
{
"pile_set_name": "DM Mathematics"
}
|
or of 224 and y.
32
Suppose 760 = -63*l + 83*l. What is the greatest common divisor of l and 4?
2
Let b = 13 - 10. Suppose -b*c + 5 = -p, p - 17 + 6 = -5*c. Suppose g + c - 13 = 0. Calculate the highest common factor of g and 99.
11
Let p(i) = -i**3 + 9*i**2 + 14*i + 6. Let s be p(11). Let x = -75 - s. Calculate the greatest common divisor of x and 77.
7
Suppose -5*n + 358 = 5*z - 597, z + 2*n - 186 = 0. What is the greatest common divisor of 84 and z?
28
Let h = 9 + -6. Suppose -228 = -3*c + h*l + 102, -3*c - 3*l = -300. Suppose -2*w = v + 2*w, -5*w - c = -4*v. Calculate the highest common factor of 180 and v.
20
Suppose 0 = -0*m + m - 12. Let k = 44 + 237. Let d = k - 149. Calculate the highest common divisor of d and m.
12
Let i be (-8)/(-6)*(-6)/(-2)*1. Suppose 4*r = 4, i - 10 = -3*k + 3*r. Suppose 2*h = h + 24. Calculate the greatest common factor of h and k.
3
Suppose -4*w - y + 73 = 0, -3 = y - 0*y. Let z = w + 27. What is the highest common factor of z and 69?
23
Let d(r) = -2*r + 12. Let h be d(-5). Suppose -2*p = p - 2*l - h, -5*p + 54 = l. Calculate the highest common factor of p and 90.
10
Suppose -103 = -2*m - 5. Suppose -6 = -3*p - 5*y, -4*y = 11 + 1. Calculate the greatest common divisor of m and p.
7
Let r(w) = -11*w + 958. Let b be r(-43). Calculate the highest common factor of 54 and b.
27
Let v(f) be the third derivative of f**4/8 - 9*f**3 + 20*f**2. Let q be v(26). What is the greatest common factor of q and 32?
8
Let r = 1984 - 1930. Suppose 5*g = g + v + 148, -g + 3*v = -48. Calculate the greatest common divisor of r and g.
18
Let x be (-1 + -1 + -4)/(-3 - -1). Suppose -5*m + 66 = 3*w, m + w - x*w - 8 = 0. Calculate the highest common divisor of m and 60.
12
Let z = 1038 + -352. Calculate the highest common divisor of 294 and z.
98
Let o be 8/6 + 320/30. Let z be o/(-66) + 466/22. Calculate the greatest common divisor of 84 and z.
21
Let k(y) = 3*y + 105. Let d be k(-20). Calculate the greatest common divisor of d and 5.
5
Suppose -c - 5*l = -0*l - 16, -4*l = 4. Suppose c*k - 198 = 12*k. What is the highest common divisor of 2 and k?
2
Let d be 3 - ((-8)/(-2) + -4). Suppose d*j + 168 = 6*j. Calculate the greatest common factor of 14 and j.
14
Let b = 253 + -197. Calculate the greatest common divisor of 16 and b.
8
Suppose -7 = -2*a + y, -4*y - 15 + 7 = 2*a. Suppose 0 = 2*l - 5*g - 16, 2*l - a*g + 4*g = 2. What is the greatest common factor of l and 3?
3
Let i = 619 - 547. Let y be 0 + -1 + (-1 - -26). What is the greatest common divisor of y and i?
24
Suppose 9*w = 7*w - 124. Let y = -18 - w. Suppose m - 4*c - 38 = -m, -2*c = 3*m - 25. What is the greatest common divisor of y and m?
11
Suppose 2*o = 6 - 2. Suppose w = 4*v - 325, w + 3*w - 158 = -o*v. What is the highest common factor of 54 and v?
27
Let q(p) = -140*p + 844. Let o be q(6). Let y(n) = 3*n**2 - 2*n - 1. Let w be y(5). What is the greatest common factor of w and o?
4
Let o(f) = 18*f**2 - 9*f + 22. Let c be o(2). What is the highest common divisor of 342 and c?
38
Suppose 36 = -52*w + 54*w. Calculate the greatest common divisor of 414 and w.
18
Suppose 0 = 4*j - 226 - 66. Suppose 325 = 4*a + j. What is the greatest common divisor of 45 and a?
9
Let g(n) = n**3 + 5*n**2 - 22*n + 16. Let u be g(3). Calculate the greatest common divisor of 121 and u.
11
Suppose 0 = 7*t - 1943 - 1501. Calculate the greatest common divisor of 48 and t.
12
Let y be ((-1)/3)/(75/(-32175)). Calculate the highest common factor of y and 11.
11
Let p = -69 - -167. Let d(b) = b + 2. Let f be d(2). Let c be (-5)/(30/f)*-21. Calculate the highest common factor of c and p.
14
Let i(x) = x**2 + 15*x + 1. Let p(z) = -2*z**2 - 14*z - 1. Let u(o) = 3*i(o) + 2*p(o). Let f be u(15). What is the highest common factor of f and 279?
31
Suppose -k + 2*k = 3*f + 16, 5*k - 114 = -2*f. Calculate the greatest common factor of k and 66.
22
Let j = 103 + -15. Suppose 4*q + 40 = 5*q + 4*w, 4*q = 2*w + j. What is the highest common factor of q and 24?
24
Let l be 50 - (0/(-4) - -4 - 2). Let g(y) = 3*y + 1. Let d be g(5). Calculate the greatest common divisor of l and d.
16
Suppose -5*a = -t + 2 - 21, -3*a + 10 = -2*t. Suppose -106 = -a*x + 54. Calculate the highest common factor of 400 and x.
40
Let d(p) = -2*p**2 + 16*p + 180. Let u be d(14). Suppose 2*t + 4*l - 2*l = 202, l - 5 = 0. What is the greatest common divisor of t and u?
12
Let v be (-3)/4 + 111/(-12). Let g be 1*-22 - v/(-5). Let z = g - -40. Calculate the greatest common divisor of z and 112.
16
Suppose -196*t = -185*t - 21912. Calculate the greatest common factor of 48 and t.
24
Let v(m) = 2 + 6*m**2 - 10 + 1 + m**3 - 1 - 5*m. Let d be v(-6). Calculate the greatest common divisor of 33 and d.
11
Suppose 0 = 64*a - 11551 + 3551. Suppose 4 + 21 = i. Calculate the greatest common divisor of a and i.
25
Suppose 3*f = 5*h + 159, -2*h = -39*f + 37*f + 102. Calculate the greatest common factor of f and 104.
8
Let z(u) = u**3 + 6*u**2 - 7*u + 6. Let o be z(-6). Let j(l) = l + 21. Let t = 6 + -15. Let y be j(t). Calculate the highest common divisor of y and o.
12
Let n = 14 - 8. Let x be (-6)/4 + n/4. Suppose a + 5*o - 62 = 0, -o - 4*o + 10 = x. Calculate the greatest common divisor of a and 13.
13
Suppose -r + 2*z + 154 = -338, -r - 2*z = -488. Calculate the greatest common factor of r and 2.
2
Let l = -1094 - -1439. Calculate the greatest common
|
{
"pile_set_name": "DM Mathematics"
}
|
**6 + 19*a**2 + 6*a**2 + 879*a**6 wrt a.
-4560*a**3
Let k be (-2)/(-4)*-2 + -7. Let i be 0 + k/(0 - 2). Differentiate 0*g**4 - 2*g + 3 + 2*g - g**i with respect to g.
-4*g**3
Suppose q = -0*q. Suppose -6 = 3*z + 8*o - 4*o, 5*z - o = 13. What is the first derivative of q - l**2 + 3 - z wrt l?
-2*l
Let v be 2 - 0*(-1)/2. Let z be 0 + 0 - 0/(-2). Find the second derivative of l + z*l + v*l**3 - 3*l wrt l.
12*l
Let z(i) be the third derivative of -11*i**5/30 + 13*i**4/12 - 17*i**2. Find the second derivative of z(w) wrt w.
-44
Let k(l) = -l**3 - 5*l**2 + l - 1. Let f be k(-5). Let z = -5 - f. Differentiate 1 - 3*c**2 - z - 1 + 5*c**2 with respect to c.
4*c
Let m = 16 + -25. Let l(p) = 3*p**4 + 2*p**2 - 3. Let v(q) = 11*q**4 + 9*q**2 - 12. Let f(k) = m*l(k) + 2*v(k). Differentiate f(g) with respect to g.
-20*g**3
Suppose 13 = 3*c + 2*a, 0 = 3*c - 3*a - 3. What is the third derivative of -c*u**2 + 6*u**2 - u**3 + 5*u**3 wrt u?
24
What is the second derivative of -8*w + 15*w + w + 6*w - 8*w**2 wrt w?
-16
Let v = -5 + 6. What is the derivative of 3 + 2 - 2 + b**2 - v wrt b?
2*b
Let j(k) = 6*k**4 - k**2 + 3. Let w(r) = -18*r**4 + 4*r**2 - 8. Suppose -4*g = -g - 9. Let q(d) = g*w(d) + 8*j(d). Find the third derivative of q(y) wrt y.
-144*y
Let n(l) = -10*l**3 + 3*l**2 - 3*l + 7. Let d(w) = -20*w**3 + 7*w**2 - 7*w + 15. Let u(y) = -3*d(y) + 7*n(y). Differentiate u(o) with respect to o.
-30*o**2
Suppose -3 + 13 = 5*d. Find the third derivative of 15*a**5 + 9*a**d + 9*a**6 - a**6 - 15*a**5 wrt a.
960*a**3
Suppose 0*c + 15 = 5*c. What is the second derivative of c*y - 2*y**4 + y**3 - y**3 wrt y?
-24*y**2
Let p(h) be the first derivative of 0*h**3 + 1/2*h**2 - 1 + 0*h - 3/4*h**4. What is the second derivative of p(v) wrt v?
-18*v
Find the second derivative of -6*x + 11 + 9*x**2 - 11 wrt x.
18
Let j(s) = 12*s - 4*s**2 + 2*s**2 - 2*s**2 - s**2. Let y(p) = -11*p**2 + 23*p. Let z(k) = 5*j(k) - 3*y(k). Find the second derivative of z(l) wrt l.
16
What is the first derivative of -3*l + 0*l - 2 + 0*l + 8*l wrt l?
5
Let p(q) = 9*q**2 - q + 4*q**3 + 2*q**3 - q. Let a(z) = 12*z**3 + 19*z**2 - 5*z. Let v(w) = -2*a(w) + 5*p(w). What is the third derivative of v(t) wrt t?
36
Let c(a) = a**2 - a. Let n be c(4). Suppose 3*l - 3 = n. What is the third derivative of -k**3 - 2*k**2 + k**3 - 2*k**l wrt k?
-120*k**2
What is the third derivative of 8*h**3 + 23*h**3 + 35*h**2 + 9 - 9 wrt h?
186
Let i(x) be the third derivative of x**6/20 + x**4/3 + 13*x**2. Find the second derivative of i(g) wrt g.
36*g
Suppose -b = -3*b - 4*y + 8, -b + 4*y = -4. What is the second derivative of -3*v**5 + 14 - b*v - 14 - v**5 wrt v?
-80*v**3
What is the first derivative of -45*u**3 + 11*u**3 + 5 - 12*u**3 wrt u?
-138*u**2
Let z = 3 + -4. Let k = z - -3. What is the derivative of -1 + 0*h + 0*h - 2*h**k wrt h?
-4*h
Let z(q) be the second derivative of 13*q**3/3 - 11*q**2 - 12*q. What is the derivative of z(r) wrt r?
26
Let q(r) = r + 5. Let g be q(-6). Let a = g - -5. What is the third derivative of -2*f**3 - f**3 + 2*f**2 + a*f**3 wrt f?
6
What is the second derivative of -4*y**4 + 4*y**4 - 5*y - 7*y**4 wrt y?
-84*y**2
Let j(b) = -b**2 + b. Let c(m) = 2*m**4 + 8*m**2 - 8*m - 1. Let h(s) = -3*c(s) - 24*j(s). Differentiate h(o) with respect to o.
-24*o**3
Let z(a) be the first derivative of 0*a**5 + 3/7*a**7 + 0*a**4 + a**3 - 1 + 0*a + 0*a**2 + 0*a**6. What is the third derivative of z(v) wrt v?
360*v**3
Suppose -4*z + 8 = -0*z. What is the derivative of z - 2 - 4*q**2 - 5 wrt q?
-8*q
Let c be (0 - -1)*(2 - 1). Let y be -1*2/(c + -2). Find the third derivative of 0*b + 0*b + 5*b**y - 8*b**2 + b**6 wrt b.
120*b**3
Let d(q) be the first derivative of q**4/2 - 7*q + 5. Differentiate d(k) wrt k.
6*k**2
Let k(f) be the second derivative of -f**4/2 + f**2 - 8*f. Find the first derivative of k(b) wrt b.
-12*b
Let i(d) be the third derivative of 1/8*d**4 + 2*d**2 + 0 + 0*d**3 + 1/30*d**5 + 0*d. What is the second derivative of i(w) wrt w?
4
Differentiate 16 + 27*v**4 - 6 - 22*v**4 with respect to v.
20*v**3
Let a = 6 - 11. Let l = -3 - a. What is the second derivative of 2*j - 2*j**2 + j**l + 2*j**2 wrt j?
2
Let d be ((-2)/(-1))/2*0. Let i(y) be the third derivative of 1/6*y**3 - 1/12*y**4 + d*y + 0 - y**2. Differentiate i(k) with respect to k.
-2
Let i(d) = -d**3 - 5*d**2 - 3*d + 5. Let h be i
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 17*g - 20*g = -57. Let j(f) = -3*f + 3. Let u be j(6). Let v = -13 - u. Solve -3*a - 16 = -2*c, -6*c + v*a + g = -3*c for c.
5
Suppose 6*b - 2*x + 35 = 3*b, -3*b - 65 = 4*x. Let y be ((-50)/b)/((-4)/18). Let a = 16 + y. Solve 5*r + a = -l + 3*l, -3*l - 11 = 5*r for l.
-2
Suppose 0*r = 39*r - 39. Solve -k - 4 - r = 0, -21 = h + 5*k for h.
4
Suppose -3*k = 3*g - 6, -g + 3*g = -4*k + 2. Let u be (k + 20/4)/(-1 + 2). Solve -5*z + 5*i = -10, 4*z = z + 4*i + u for z.
4
Let p = -43 - -87. Suppose -p = -6*y - 26. Solve 0 = y*a - 4*a - 2*t + 10, -3*t - 11 = -5*a for a.
4
Let y = -55 - -81. Suppose 5*h = -y + 51. Solve -h*i + 4*x = -33, -2*x = i + 5 - 6 for i.
5
Suppose 7*z - 18*z + 22 = 0. Solve -z*m = j + 6, j + j = -8 for m.
-1
Suppose 4*z - z = 4*x - 13, -4*x - 2*z = 2. Let y be -3*(-5 - -5 - x). Solve 3*t - 3*v - 19 = v, 3*t + y*v + 9 = 0 for t.
1
Let m = 22 + -2. Suppose -7*s + 16 = -5. Let b be 4/(-2) - (s - (4 + 1)). Solve 4*d + 4*x = -b*d + m, 3*x - 10 = 2*d for d.
1
Suppose 0 = -2*q + 4. Let k be -1*34/6*(17 + 1). Let j be k/(-8) - (132/(-16))/(-11). Solve q = 2*l - 5*s - 3, -j = 4*s for l.
-5
Let g(x) = 2*x - 12. Let v be g(9). Suppose -s - 2*j + 4 = 2*s, -s = 3*j - v. Solve s = 5*c - t + 24, -3*c + t - 4 = -2*c for c.
-5
Suppose 3*w - 3 = 5*w + 3*k, 0 = -2*w + 3*k - 9. Let h = w + 6. Suppose 5*v - 29 = -4. Solve 12 = -v*d + b, h*d + 2*b + 10 = 4*b for d.
-2
Let w = 1 + -1. Let c(z) = -5*z + 39. Let b(i) = 2*i - 20. Let v(h) = -7*b(h) - 3*c(h). Let s be v(-18). Solve 4*a - s = 5*g, a + 2 + 3 = w for g.
-5
Suppose -20 = f - 5*k, f - 8 = 2*k - 4*k. Suppose -2*o - 2*t - 6 = f, t + 4*t = -25. Suppose -q = o*q. Solve -5*p + 5*w - 35 = q, -4*p - w = w + 16 for p.
-5
Suppose 53 = 2*y + 13. Suppose 6*g = g + 25. Suppose -g*p = -10, 12 = d + 7*p - 2*p. Solve -d*m = -3*o + 5, 0 = 3*m + 2*o - o - y for m.
5
Suppose -3*v + 5*a + 21 = 0, 2*v = 3*a + 64 - 51. Solve -3 = 2*j - j, -v*j = -3*g - 9 for g.
-5
Let q(r) = r**3 - 3*r**2 + 5. Let b be q(3). Solve -1 = -3*k + 5*a, k + b*a - 1 + 14 = 0 for k.
-3
Let g = 566 + -563. Solve -4*x + 8*k - g*k = 27, -5*x - 4*k = 3 for x.
-3
Let k be (4 - 39)*11/(-77). Solve 3*f + 3*g - 12 = 0, k*g - 7*g = -6 for f.
1
Suppose -2*g = -0*g - 4. Suppose 0 = -l + g + 14. Suppose 0 = -4*c + l + 12. Solve -c = z + 3*r - 20, -4*r = 3*z - 19 for z.
1
Let o = 33 + -29. Solve -5*i = -2*n + 4, o*i + 9 = -4*n - 11 for i.
-2
Let a(p) = p**3 - 6*p**2 + 9*p - 1. Let j be a(4). Suppose -4 + 9 = j*l + 5*f, -3*f = 4*l - 14. Solve -7*y + 5*h = -2*y - l, y - 16 = -4*h for y.
4
Let n(t) = t**2 - 4*t + 1. Let j be n(5). Suppose 4*k - j*k = -44. Let a = -20 + k. Solve -5*l + 8 = -x, -2*l + 2 = -3*x + a*l for x.
2
Let i be (12/15)/(36/(-10) - -4). Let b be (i/(-8))/((-8)/224). Solve -2*z = z - 4*j + b, -2*z = -2*j + 6 for z.
-5
Suppose 1 = 2*w + 5*i - 31, -5*w - 5*i + 110 = 0. Let b = w - 23. Solve 0 = -b*k - 12, 5*k = -5*x - 15 for x.
1
Suppose 0*s + 2*s + 4*a = 22, 2*a + 15 = s. Solve -o + 33 - s = -5*p, 45 = -5*p - 4*o for p.
-5
Let o = 1 - -3. Let x(y) = y**3 - 3*y**2 - 3*y + 1. Let l be x(o). Let q = l + 24. Solve 5*u - q = -d, -4*u = -0*u + d - 24 for u.
5
Let t = -27 - -44. Let y = t - 17. Suppose y = 3*h + h - 8. Solve v - 4 - h = 2*g, 5*g = -v - 1 for g.
-1
Suppose 3*m - 3*v = -2*m + 5, -3*v = -15. Suppose 2*f - m + 0 = 0. Let q(d) = 2*d - 23. Let b be q(14). Solve -5*p + 2*t - 25 = 6*t, p + f*t + b = 0 for p.
-5
Suppose -6*g = -4*g - 8. Suppose -10 = g*n - 9*n. Solve -l = -n*l + 2*p + 8, -5*l = 2*p + 8 for l.
0
Suppose 9*i - 32 = -5. Solve i*s - 3 = 0, 4*b - 5*s = -4*s + 11 for b.
3
Let q be (-3480)/(-1044)*(1 + 4/5). Solve 4 = -d - 3*s, 0 = q*d - 3*d + 5*s + 4 for d.
2
Suppose 12*l - 8*l = p + 2, 4*l + 3*p = -6. Solve l*x + 5*x - 40 = -4*h, -h + 1 = -x for x.
4
Suppose 47*j - 56*j = -99. Solve -w + 3 = -h, w = -15*h + j*h + 13
|
{
"pile_set_name": "DM Mathematics"
}
|
8 - x = 17*s for s.
6
Let y(r) = 26 + 2*r + r - r**2 + 4. Let k = 5 + 2. Let o be y(k). Solve -3*w - 5 = -o*w for w.
-5
Let p(a) = 5 + 211*a**2 - 3 - 210*a**2 - 11*a. Let y be p(11). Solve 4*f = -y*f - 24 for f.
-4
Suppose 3*x - 10 = 2*g, -2*x + 57 = g + 62. Suppose 25*m - 19*m - 114 = x. Solve 5*u = m - 9 for u.
2
Let m = 9706 + -9698. Solve -101 = -m*t - 141 for t.
-5
Suppose -40 = -21*c + 20*c. Suppose -4*t = -12*t + c. Solve -t*u = -2*u - 7*u for u.
0
Suppose 323*p - 17808 = 239*p. Solve -p*k + 219*k - 21 = 0 for k.
3
Suppose 3*q - 97 = -5*f, -2*q + 3*f - 34 = -124. Solve 0 = -20*w - 1 - q for w.
-2
Let o = -25 + 61. Suppose -35*d - 3 = -o*d. Let l be d*3/(-9) - -3. Solve 2*b = -l*b for b.
0
Let y = -1754 - -1761. Solve 0 = -y*a - 22*a - 29 for a.
-1
Let v be (-2)/(-1)*(-2)/(-2). Let q(t) = -9*t + 84 - t + 5*t - 2*t. Let u be q(12). Solve -v*i + u*i = -2 for i.
1
Let z(q) = -7*q - 93 - 35*q**3 + 42*q - 7*q + 34*q**3 - 30*q**2. Let o be z(-31). Solve 3*s + 2*s = o for s.
0
Let y be ((-10)/6)/((-7)/105). Suppose 4*w - 16 = 2*p + 32, 62 = -3*p - 4*w. Let h = p + y. Solve -h*g = 10 - 1 for g.
-3
Suppose 0 = -58*s + 52*s + 456. Solve s - 80 = -d for d.
4
Let p = -337 - -373. Suppose -4*q = x - 46, 0 = -4*q + x + 3*x + p. Solve 9*a = -q - 7 for a.
-2
Suppose -4*i - 2 = -2*n, -n - 17 = -5*n - 5*i. Let s = -33 - -38. Suppose -2*r = -s*r + 3. Solve c + r + n = 0 for c.
-4
Suppose 0 = -w - 2*w - 12. Let l(x) = x + 10. Let u be l(w). Suppose 0 = -3*i, -3*i = -2*r - 0*i + u. Solve k = r - 0 for k.
3
Suppose 0 = -15*k + 142 + 248. Suppose 48*v = 61*v - k. Solve -v*y - 15 = -5 for y.
-5
Let b be (-6 + 4)*(0/3 - -4). Let y(u) = -u**3 - 9*u**2 - u + 58. Let t be y(b). Solve 3*n = -t*n - 5 for n.
-1
Suppose -23*p - 3*x = -27*p + 123, 0 = -5*p - 3*x + 147. Solve 289*d = 283*d + p for d.
5
Let g(f) = f**3 + 8*f**2 - 8*f + 45. Let c be g(-9). Solve 32*h + 16 = c*h for h.
4
Let l = -11241 + 11248. Suppose -5*h - 2*j = -3*j - 32, 0 = 3*h - j - 18. Solve 0*g = l*g - h for g.
1
Let t(a) = -3*a + 66. Let u be t(21). Let c = 70 - 66. Solve -u*w = -c*w for w.
0
Let v be (-10)/100*6 + (-1592)/(-20). Solve v*h + 2 = 81*h for h.
1
Let y(r) = 3*r**2 + 15*r - 3. Let x be y(6). Let d be ((-117)/x)/(((-2)/20)/1). Solve 0 = d*k - 12*k - 24 for k.
-4
Let l(y) = 67*y + 2117. Let r be l(-31). Solve -293*n = -285*n + r for n.
-5
Suppose -855 - 279 = -14*l. Suppose 2*r - 93 + l = 0. Suppose 4*i = -r + 22. Solve -k - k = -i for k.
2
Suppose 6*t - 264 = -p, 41*t + 3*p - 220 = 36*t. Solve 0 = 39*u + t*u for u.
0
Suppose 0 = -8*t + 12*t - 284. Suppose 4*y = -19 + t. Let h = -9 + y. Solve h*g = 2*g - 10 for g.
-5
Suppose z - 4*c = 3*z + 770, z + 410 = 3*c. Let q = -393 - z. Solve q*a + 10 = 10 for a.
0
Let b = 268 - 253. Let f be -1*24/b*(-60)/8. Solve 0 = 12*n - 9*n + f for n.
-4
Let c = -14 + 11. Let r be (-45)/10*2/c. Suppose -14 = -r*h - 2*w, -2*h - 2*h = -2*w. Solve -h*o + 2 = 6 for o.
-2
Suppose 0 = 2*w - 8, -4*q = 5*w - 4 - 36. Suppose 5*l = x - 20, -q*l + 60 = 3*x - 0*x. Solve 6*m - x = m for m.
4
Suppose 173 = 4*k + 149. Let o be -5*k*6/(-60). Solve o*q = 8*q + 5 for q.
-1
Let o(p) = 3*p**2 + 11*p - 51. Let d be o(3). Solve 3 = -2*v + d for v.
3
Let s(a) = -a - 3. Let p be s(-5). Let k = -411 + 414. Suppose k*x - 5*x - m = -14, p*x = m + 6. Solve 0*w = x*w + 10 for w.
-2
Let l = -524 - -59. Let q = l + 467. Solve -q*m - 12 = -4 for m.
-4
Suppose 0 = -5*j - 0*j + 105. Let d = -65 + 73. Suppose -d*z + z = -j. Solve 2*q - z*q + 1 = 0 for q.
1
Suppose 0*p + 15 = 5*p. Suppose -3*c = 2*s - 2*c + 994, -1002 = 2*s - c. Let n = s - -501. Solve n*z + 5 + p = 0 for z.
-4
Let r be -18 - (-1 - -5)/4. Let t = r + 24. Let m(z) = z. Let g be m(t). Solve 5 + g = -5*h for h.
-2
Suppose 7*f - 76 = 5*l, 0 = -4*f + 3*l + 56 - 13. Solve 49*g - 36*g - f = 0 for g.
1
Suppose 140*b - 200*b = -4140. Solve -b = 16*r - 5 for r.
-4
Suppose -29*w - 67*w - 14*w = -6600. Solve 44*g = 54*g + w for g.
-6
Let z be (-1)/(3/(-1629)*3). Suppose -z = -i - 176. Solve 0 = i*n - 9 - 6 for n.
3
Let d = 548 - 1053. Let o = -496 - d. Solve 2*n
|
{
"pile_set_name": "DM Mathematics"
}
|
e v'th term of -41, -65, -103, -155, -221, -301, -395?
-7*v**2 - 3*v - 31
What is the a'th term of -298, -742, -1490, -2548, -3922, -5618, -7642?
-a**3 - 146*a**2 + a - 152
What is the d'th term of -9994, -19982, -29970?
-9988*d - 6
What is the t'th term of -8786, -17643, -26500, -35357?
-8857*t + 71
What is the b'th term of -78485, -78482, -78479, -78476?
3*b - 78488
What is the a'th term of 0, 56, 170, 342, 572?
29*a**2 - 31*a + 2
What is the i'th term of 151, 428, 903, 1588, 2495, 3636, 5023?
2*i**3 + 87*i**2 + 2*i + 60
What is the g'th term of 263073, 263070, 263065, 263058, 263049, 263038?
-g**2 + 263074
What is the l'th term of 3143, 3141, 3139, 3137, 3135?
-2*l + 3145
What is the w'th term of 90, 154, 180, 150, 46, -150, -456?
-3*w**3 - w**2 + 88*w + 6
What is the i'th term of -852, -3326, -7452, -13230, -20660, -29742, -40476?
-826*i**2 + 4*i - 30
What is the r'th term of 29, -99, -435, -1081, -2139?
-17*r**3 - 2*r**2 - 3*r + 51
What is the h'th term of 20496, 20495, 20494, 20493?
-h + 20497
What is the r'th term of 121799, 243598, 365397?
121799*r
What is the d'th term of 461, 1084, 2101, 3518, 5341, 7576, 10229, 13306?
d**3 + 191*d**2 + 43*d + 226
What is the n'th term of -2057, -2111, -2171, -2231, -2285?
n**3 - 9*n**2 - 34*n - 2015
What is the i'th term of -9849, -9849, -9853, -9867, -9897, -9949?
-i**3 + 4*i**2 - 5*i - 9847
What is the q'th term of 134, 211, 236, 209?
-26*q**2 + 155*q + 5
What is the g'th term of -2387, -2377, -2367, -2357?
10*g - 2397
What is the x'th term of -61, -450, -1523, -3628, -7113?
-58*x**3 + 6*x**2 - x - 8
What is the o'th term of -114660, -229324, -343990, -458658, -573328, -688000, -802674?
-o**2 - 114661*o + 2
What is the c'th term of -50117, -100226, -150335, -200444?
-50109*c - 8
What is the b'th term of -330, -1497, -3448, -6189, -9726?
-b**3 - 386*b**2 - 2*b + 59
What is the x'th term of 163, 317, 451, 553, 611, 613, 547?
-2*x**3 + 2*x**2 + 162*x + 1
What is the o'th term of 26, 135, 314, 557, 858, 1211?
-o**3 + 41*o**2 - 7*o - 7
What is the y'th term of -4192, -4308, -4506, -4792, -5172, -5652, -6238, -6936?
-y**3 - 35*y**2 - 4*y - 4152
What is the f'th term of -310, -1055, -2302, -4051, -6302?
-251*f**2 + 8*f - 67
What is the a'th term of 438, 762, 1086?
324*a + 114
What is the n'th term of 72851, 72855, 72869, 72899, 72951, 73031?
n**3 - n**2 + 72851
What is the c'th term of -3384, -6709, -9914, -12939, -15724?
10*c**3 - 3395*c + 1
What is the i'th term of -18520, -37067, -55646, -74263, -92924?
-i**3 - 10*i**2 - 18510*i + 1
What is the z'th term of 8906, 9580, 10240, 10880, 11494, 12076, 12620, 13120?
-z**3 - z**2 + 684*z + 8224
What is the j'th term of 4264366, 4264365, 4264364, 4264363?
-j + 4264367
What is the h'th term of 255633, 255629, 255623, 255615?
-h**2 - h + 255635
What is the w'th term of 30700, 30794, 30888?
94*w + 30606
What is the a'th term of -186, -217, -248?
-31*a - 155
What is the k'th term of 8007, 63910, 215637, 511098, 998203, 1724862, 2738985?
7985*k**3 + 2*k**2 + 2*k + 18
What is the q'th term of 16501, 32996, 49505, 66034, 82589?
q**3 + q**2 + 16485*q + 14
What is the w'th term of 525, 4179, 14089, 33381, 65181?
521*w**3 + 2*w**2 + w + 1
What is the k'th term of 605, 2315, 5165, 9155?
570*k**2 + 35
What is the o'th term of 891578, 1783148, 2674704, 3566240, 4457750, 5349228, 6240668, 7132064?
-o**3 - o**2 + 891580*o
What is the l'th term of -25773, -25754, -25735, -25716, -25697?
19*l - 25792
What is the c'th term of 243, 238, 229, 210, 175, 118?
-c**3 + 4*c**2 - 10*c + 250
What is the d'th term of -107257, -107255, -107253, -107251?
2*d - 107259
What is the h'th term of -214, -557, -904, -1255, -1610, -1969?
-2*h**2 - 337*h + 125
What is the f'th term of 5745, 5529, 5297, 5043, 4761, 4445?
-f**3 - 2*f**2 - 203*f + 5951
What is the x'th term of -1402, -1375, -1346, -1315?
x**2 + 24*x - 1427
What is the j'th term of 425, 972, 2445, 5306, 10017?
77*j**3 + j**2 + 5*j + 342
What is the w'th term of 147302, 294594, 441886, 589178, 736470, 883762?
147292*w + 10
What is the c'th term of -146, -289, -424, -551, -670?
4*c**2 - 155*c + 5
What is the v'th term of -1362136, -1362135, -1362134?
v - 1362137
What is the t'th term of 356, 768, 1182, 1598, 2016, 2436, 2858?
t**2 + 409*t - 54
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
0.0004
Let h = 0.0166 + -0.0584. What is h rounded to three dps?
-0.042
Let k be 3/(3 - 5 - -3). Suppose 0 = -o + k*o + 46200. What is o rounded to the nearest 1000?
-23000
Suppose 0 = 5*p - 40536 + 4141. Let n = 10579 - p. What is n rounded to the nearest 1000?
3000
Let n(h) = 1900*h**2 + h + 10. Let y be n(-10). What is y rounded to the nearest one hundred thousand?
200000
Let u = 0.103 - -40.897. Let w = u - 68. Let a = w - -26.9999935. Round a to 6 dps.
-0.000007
Let x be (-105)/25 + (-1)/(-5). Let t(b) = -408*b + 3. Let z be t(x). Suppose -g + 4045 = -5*l, -2*l + g - 4*g = z. What is l rounded to the nearest 100?
-800
Let h = -1639512.2999956 + 1639512. Let b = 0.3 + h. Round b to 6 dps.
0.000004
Let s = 94.096 + -0.096. Let l = s + -93.99999844. What is l rounded to seven decimal places?
0.0000016
Let n = 31 - 48. Let t = -0.01093 + 16.94293. Let o = t + n. What is o rounded to 2 dps?
-0.07
Let f be (-849)/15 - 8/20. Let m be f/2 - (-3)/(-2). What is m rounded to the nearest one hundred?
0
Let k = -7527 + 7492.41. Let b = 36 + k. What is b rounded to one decimal place?
1.4
Let t = 13 - 13. Suppose 2*j - 4*j + 3*i - 15009 = 0, t = -j + 3*i - 7509. What is j rounded to the nearest one thousand?
-8000
Suppose 0 = 2*l - 3144 + 634. Suppose 5*y - 1530 = -4*n, 2*n + n = 4*y - l. Round y to the nearest 100.
300
Let o(u) = -u**3 - 8*u**2 - 6*u + 3. Let s be o(-7). Let a(j) = -1225000*j. Let b be a(s). Round b to the nearest one million.
5000000
Let q = -0.28 + 2. Let z = q + -1.7323. What is z rounded to 3 dps?
-0.012
Let c = -328.99999839 - -329. What is c rounded to 7 dps?
0.0000016
Suppose 25*g = 14*g - 110. What is g rounded to the nearest 1000?
0
Let b = 0.00037 + 0. What is b rounded to 4 dps?
0.0004
Let x = 1334.012 + -1338. Let u = -4 - x. Let w = u + 0.01199926. What is w rounded to seven decimal places?
-0.0000007
Let i = -0.14 + 0.13997. What is i rounded to 4 decimal places?
0
Let b(q) = 56*q + 38. Let z be b(-4). What is z rounded to the nearest 10?
-190
Suppose -4*t + 5*y = -4079975, 3*y - 3060015 = -3*t - 0*y. What is t rounded to the nearest 100000?
1000000
Let f = -7.53 + 17.9417. Let c = 123.4 + -113. Let k = c - f. Round k to three decimal places.
-0.012
Let k = -1.7681 + 1.78. What is k rounded to 3 decimal places?
0.012
Let b = 0.0088 - 257.0088. Let s = -257.00000209 - b. What is s rounded to seven decimal places?
-0.0000021
Let t = -0.825 - 0.437. Let p = t - -1.3. What is p rounded to 2 decimal places?
0.04
Let a = 8.86 + -9. Let o = a - -0.1399986. What is o rounded to six dps?
-0.000001
Let v = 48.017 + -0.017. Let i = -47.916056 + -0.029944. Let k = i + v. What is k rounded to 2 decimal places?
0.05
Let b = -7.34 + 10.212. Let i = -0.028 - b. Let r = 3.13 + i. Round r to one dp.
0.2
Let m = -2.07734432 - -143297.95834432. Let s = m + -143202.881057. Let t = 93 - s. Round t to 5 decimal places.
0.00006
Let h = 522869 - 522868.88000012. Let q = -0.12 + h. What is q rounded to 7 decimal places?
-0.0000001
Let s = 0.16 - -3.09. Let g = s + -2.08. Let q = g + -0.38. What is q rounded to one dp?
0.8
Let j = 1609486 - -3691689. Suppose 10698815 = -5*x - j. Let z be x/5 + (-4)/10. What is z rounded to the nearest one hundred thousand?
-600000
Let z be (-127999998)/(-8) - (-11)/44. Round z to the nearest one million.
16000000
Let j(o) = o - 4. Let d be j(6). Suppose -d*b + 12651 = -10749. What is b rounded to the nearest 1000?
12000
Let o = 0.027 - 0.02672. What is o rounded to four decimal places?
0.0003
Let x = 8 + -22. Let v = x + 14.00065. Round v to four dps.
0.0007
Let b = 0.03 + 0.57. Let c = 2.6 - b. Let h = 1.968 - c. What is h rounded to two decimal places?
-0.03
Let v = 0.4022 + -0.4. What is v rounded to three decimal places?
0.002
Let s = 9.2 + -9.20264. Round s to four dps.
-0.0026
Suppose -5*u - 4 = 2*r + r, 4*r = 2*u + 12. Suppose r = -6*z + 7*z. Let f be -400 + (z + -2)/1. What is f rounded to the nearest 1000?
0
Let z = 5.5 + -0.6. Round z to the nearest integer.
5
Let y = 55.846 + -55.686085. Let o = y + -0.16. Round o to five dps.
-0.00009
Let h be 37/5 + 4/(-10). Let t(a) = -18*a - 4. Let x be t(h). Let o be ((-2)/(-4))/((-1)/x). What is o rounded to the nearest ten?
70
Let j = -2.81 + -34.45. Let i = j - -0.26. Let q = 36.9977 + i. Round q to 3 decimal places.
-0.002
Let x = -1891 - -1890.90054. Let z = -0.1 - x. Round z to four dps.
-0.0005
Let q = -330956 - -211759. Let r = -119204.5969 - q. Let b = r - -7.6. Round b to three decimal places.
0.003
Let k = -438.6397917 + -0.0712083. Let s = -439 - k. Let p = s + 0.416. What is p rounded to two dps?
0.13
Suppose r = -r - 46600004. Let k be r - (-6)/(-1 + 4). What is k rounded to the nearest one million?
-23000000
Let k = 5 + -38. Let d = 32.999973 + k. Round d to 5 decimal places.
-0.00003
Let k = 12575 - 12577.0037. Let i = k - -2. What is i rounded to three dps?
-0.004
Suppose 0 = -0*a + a - 1, 3*j + 5 = -4*a. Let b = j + 5. Let u be 2/(-2) - (4 - b). What
|
{
"pile_set_name": "DM Mathematics"
}
|
e second derivative of -798*d**4 + 2*d**3 - 302*d + 2 wrt d.
-9576*d**2 + 12*d
What is the second derivative of -15*w**3 - 2*w**2 - 266*w - 3 wrt w?
-90*w - 4
Find the third derivative of 404*r**5 + 3*r**4 - 4*r**3 + 12863*r**2 wrt r.
24240*r**2 + 72*r - 24
Find the second derivative of 4927*f**3 + 102*f + 7 wrt f.
29562*f
What is the first derivative of 77*y**2 - 121 wrt y?
154*y
Find the first derivative of -575*l**4 - 1344.
-2300*l**3
Differentiate -4*v**3 - v - 2079.
-12*v**2 - 1
Find the second derivative of -2*l**5 + 8*l**2 + 382*l.
-40*l**3 + 16
What is the first derivative of -2*p**2*u**3 + 79*p**2*u + 296*u**3 wrt p?
-4*p*u**3 + 158*p*u
Differentiate -87*f**2 + 147.
-174*f
What is the third derivative of a**3*c**3 - 1830*a**3*c**2 - 2474*a**2*c**3 + 2*c**2 wrt c?
6*a**3 - 14844*a**2
What is the second derivative of 8*p*x**2 + 50*p*x - p - 4*x**2 wrt x?
16*p - 8
What is the second derivative of -22775*n**4 + 6*n - 1224 wrt n?
-273300*n**2
Find the third derivative of 2187*b**4 - 2*b**3 - 8*b**2 + 2*b - 21.
52488*b - 12
Find the second derivative of -1576*w**2 + 3608*w.
-3152
Find the third derivative of 206*w*y**4 - w*y**3 + 10*w*y**2 + 2*y**4 + 26*y**2 wrt y.
4944*w*y - 6*w + 48*y
Find the third derivative of -7028*y**3 + 9529*y**2.
-42168
Find the first derivative of -3*c**2*o*p + 4*c**2*o + 7*c**2*p - 25*c*o - 2*o*p wrt p.
-3*c**2*o + 7*c**2 - 2*o
What is the third derivative of 101*k**5 + k**3 + 2063*k**2?
6060*k**2 + 6
Find the first derivative of d**4*i - 331*d**2*i + 54*i - 2 wrt d.
4*d**3*i - 662*d*i
What is the second derivative of g**3 - 65*g**2 - 777*g?
6*g - 130
Find the third derivative of 4*d**3*n**2*z**3 + 2*d**3*n**2*z + 4*d**3*z**2 - 155*n**3*z**3 + 17*n**3 wrt z.
24*d**3*n**2 - 930*n**3
What is the third derivative of 126*j**3 + 12*j**2 + 1?
756
Differentiate -c**4 - c**3*j**3 - 23*c**2 + 44*j**3 - 2 with respect to c.
-4*c**3 - 3*c**2*j**3 - 46*c
What is the second derivative of 370*p**3*y**3 - 84*p**3*y + p*y**4 + p*y wrt y?
2220*p**3*y + 12*p*y**2
What is the derivative of 146*d*i**3*n**2 - 3*d*i**3 - d*i**2 - d*n + i**3*n**3 + 462*i**3 wrt n?
292*d*i**3*n - d + 3*i**3*n**2
Find the second derivative of -6*b**3*q*z**2 + 4*b**3*q - b**2*z**2 + 2*b*q*z**2 + 7*b*q + 3*b wrt b.
-36*b*q*z**2 + 24*b*q - 2*z**2
Find the third derivative of -4*b**4*m - 2859*b**3*m**3 + 19*b**2*m**3 + 8*b**2 wrt b.
-96*b*m - 17154*m**3
Find the third derivative of -3*k**4*w**2 - 114*k**4*w - 10*k**2*w - 3*k*w**2 wrt k.
-72*k*w**2 - 2736*k*w
Find the first derivative of -2*p*r + 10701*p - 4217*r wrt r.
-2*p - 4217
What is the third derivative of -b**3*s**3*x**2 + 3*b**3*x**2 - 49*b**3*x - 35*b**2*s**3*x**2 + b**2*x**2 - 3*s**3*x wrt b?
-6*s**3*x**2 + 18*x**2 - 294*x
Find the third derivative of -3*q**4 + 3553*q**3 - q**2 - 8600 wrt q.
-72*q + 21318
Find the third derivative of -6233*f**3 + 2*f**2 - 1052*f wrt f.
-37398
Find the second derivative of 176*v**5 - 222*v - 2 wrt v.
3520*v**3
Find the third derivative of 4*s**5 - s**4*z**2 + 2*s**3*z**3 - 4*s**2*z**3 + 2*s*z**2 + 21*z**3 wrt s.
240*s**2 - 24*s*z**2 + 12*z**3
What is the second derivative of 815*b*l**5 - 10*b*l**3 - 7*b*l + 2*b + 31*l + 5 wrt l?
16300*b*l**3 - 60*b*l
What is the second derivative of -2*t**5 - 33*t**3 + 789*t wrt t?
-40*t**3 - 198*t
What is the second derivative of 185*d**2*v**2 - 7*d**2*v - 4*d*v**4 + 104*v wrt v?
370*d**2 - 48*d*v**2
Find the third derivative of 2*f**3*n**4 + 4*f**3 - 40*n**4 - 46*n**2 wrt n.
48*f**3*n - 960*n
Find the third derivative of 2*f**6 + 449*f**5 - 1442*f**2 wrt f.
240*f**3 + 26940*f**2
Find the third derivative of a**5 + 203*a**4 + a**2 - 114*a.
60*a**2 + 4872*a
Find the second derivative of 804*w**3 + 829*w wrt w.
4824*w
What is the second derivative of 3*k**2*n**3 - 30*k**2*n**2*y + 9*k*n**3*y - 5*k*n**2*y + k*n**2 wrt k?
6*n**3 - 60*n**2*y
Differentiate -3472*r**2 - 5054 wrt r.
-6944*r
What is the third derivative of -731*c**6 - 2*c**4 - 286*c**2 - 5 wrt c?
-87720*c**3 - 48*c
What is the second derivative of 6*c**5*y**2 + 213*c**2*y**3 - c*y**2 + 21*c - 18*y**3 wrt c?
120*c**3*y**2 + 426*y**3
Find the second derivative of 23*i**2*x**2 - i**2*x + 3*i*x**2 + 1362*
|
{
"pile_set_name": "DM Mathematics"
}
|
d k?
1
Let v(b) be the third derivative of -b**4/24 - b**2. Let c be v(-4). Let f(h) = 5*h - 2. Let q be f(2). What is the greatest common divisor of q and c?
4
Let m be ((-4)/10)/(2/(-20)). Suppose -g = 3*q + 39, m = 3*q + 13. Let f be -2 - 4/(8/g). Calculate the greatest common divisor of 13 and f.
13
Let s be (-68)/(-2)*70/20. What is the greatest common divisor of 17 and s?
17
Suppose 0 = 4*k - 17 - 7. Let z = -1 + k. Suppose x = -z*c + 145, -x - 31 = -2*c + 4*x. Calculate the highest common factor of c and 14.
14
Let w be 2*((-25)/(-2))/5. Calculate the highest common divisor of w and 2.
1
Suppose 4*q + 391 = 67. Let t = q - -183. Suppose y + t = 2*y. Calculate the greatest common divisor of y and 17.
17
Suppose 0*g + 4*g + 20 = 0. Let k(d) = d**3 + 5*d**2 - 6*d. Let w be k(g). Let s = 101 + -26. Calculate the greatest common factor of w and s.
15
Let u be 46/12 - (-6)/36. Calculate the highest common divisor of 28 and u.
4
Let i = -9 - -3. Let k = 21 + i. Suppose -4*h + 480 = -0*h. Calculate the greatest common divisor of h and k.
15
Let a = 3 + -1. Suppose 0 = 2*b - 0 - a. Let k be (b + 0)/((-4)/(-336)). What is the greatest common factor of k and 12?
12
Suppose -3*r + 31 = 3*p - 32, -69 = -3*r - p. What is the greatest common divisor of 6 and r?
6
Suppose 2*r - g - 75 = 4*g, 0 = r - 5*g - 45. Calculate the highest common divisor of r and 50.
10
Let c(j) = 2*j**3 - 4*j**2 - 2*j + 7. Let y be c(3). Calculate the greatest common divisor of 133 and y.
19
Let a(h) = 22*h. Let j be a(5). Let m = 257 - 166. Suppose 4*q + c = m, 5*q + 2*c - 4*c = 104. Calculate the greatest common divisor of j and q.
22
Suppose l + 3*f = 7*f + 87, -5*f - 25 = 0. Let t(d) = -42*d**3 + 2*d - 1. Let a be t(1). Let b = a + l. Calculate the greatest common divisor of b and 65.
13
Suppose s - o - 19 = 0, s + 4*o - 37 - 7 = 0. Let b be (-3)/(-6)*(s - 0). What is the greatest common divisor of 12 and b?
12
Suppose -9*v + 7*v + 14 = 0. Suppose 0 = -4*u - 0*u + 28. Calculate the greatest common divisor of v and u.
7
Let z(f) = f**2 + 9*f + 7. Let o be z(-9). Let n be 2/7 + 530/o. What is the greatest common divisor of 19 and n?
19
Let x(t) = -3 + 14*t**2 - 2*t + 5 - 2*t**2. Suppose 5*n + 3*u = 6, 2*u + 15 = 4*n - n. Let j be x(n). Calculate the greatest common divisor of j and 13.
13
Let k be 72*(2/(-4) - -1). Suppose -24 = -w + k. Let p = 73 + -49. What is the highest common divisor of w and p?
12
Suppose 12 = 12*n - 10*n. What is the greatest common divisor of n and 18?
6
Suppose -16 + 1 = -3*o. Suppose 4*j - 3*j - o = 0. Calculate the greatest common divisor of 20 and j.
5
Suppose 2*x - 5*x = 0. Suppose 8*b - 5*b - 78 = x. What is the highest common factor of 65 and b?
13
Let u = 4 + -4. Suppose 4*a - 49 = -3*l, u = l + 2*l - 2*a - 25. Suppose -4*t = -l - 5. What is the greatest common divisor of 4 and t?
4
Let i be 3 + -3 + 1 - -1. Let d be 68/20 + i/(-5). Let p be -2*((-3)/6 - d). What is the highest common divisor of p and 7?
7
Let t(k) = 16*k - 8. Let x be t(3). What is the highest common divisor of x and 4?
4
Let q(b) = b**3 + 7*b**2 - 3*b - 9. Let v be q(-7). Calculate the highest common factor of 4 and v.
4
Let j(m) = -4 - 15*m - 8*m - 5*m + 4*m. Let t be j(-3). What is the greatest common factor of t and 17?
17
Let l = 28 + -20. Calculate the highest common factor of 2 and l.
2
Let a = -7 - -14. Let o = 22 - a. Suppose -x + 11 = b, 0 = x + x + 4*b - 14. Calculate the highest common divisor of x and o.
15
Suppose 72 = -y + 5*y. Calculate the greatest common factor of y and 90.
18
Let k be (-5 - (-11)/2)/((-1)/(-88)). Let h be ((-8)/(-6))/(2/6). What is the highest common divisor of k and h?
4
Suppose -3*n = -2*o - 62, -2*n + 46 = 2*o - 2. Let a = -15 + n. Calculate the greatest common factor of a and 14.
7
Let o be (-12)/(-24) - 298/(-4). What is the highest common factor of 30 and o?
15
Let o be 1 + 1/((-1)/86). Let a = o - -255. Let b = -51 + a. Calculate the greatest common divisor of b and 17.
17
Let w(o) = -2*o + 3 + 3*o - 3*o**3 - o**2 + 3*o. Let y be w(-3). Let z = 20 + -13. What is the greatest common divisor of y and z?
7
Suppose -g - 2*l + 73 + 117 = 0, -3*g = l - 590. What is the highest common factor of g and 22?
22
Suppose 2*x = -4*o + 63 + 161, -o + 34 = -5*x. What is the highest common factor of 6 and o?
6
Suppose -d = -5*f - 52 + 3, 110 = 5*d + 2*f. Suppose -5*t + 68 = -52. Suppose -3*i = -7*i + t. What is the greatest common divisor of d and i?
6
Suppose -i + 37 = -3*x + x, -5*x - i = 82. Let u = 7 - x. Suppose -2*c + 0*c = -16. What is the greatest common divisor of c and u?
8
Suppose 0 = -l - 2, -5*c + 4 = -l + 2. Suppose 0 = -4*r - 3*t - 25, 2*t - 30 = 4*r - c*t. Let j = r - -26. Calculate the greatest common divisor of j and 19.
19
Let p be 4*1/8*22. Suppose 0 = -j + p - 2. Calculate the greatest common factor of 3 and j.
3
Suppose -4*r + 48 + 352 = 0. Calculate the greatest common divisor of r and 40.
20
Suppose -6*k = -3*k + 6, 14 = -2*j - 2*k. Let h(a) = -4*a - 3. Let y be h(j). Calculate the highest common factor of y and 187.
17
Let z = 84 + -49. Let h = z - 18. What is the highest common factor of 153 and h?
17
Suppose 12*u = 30 + 6. What is the greatest common divisor of u and 24?
3
Let g be 3/(-9)*(230/(-5) + -2). What is the greatest common factor of 176 and g?
16
Let x(u) = -268*u + 1. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
*2
Differentiate -41*j**2*y**2 + 623*j**2 + 4*j*y**2 with respect to y.
-82*j**2*y + 8*j*y
Find the second derivative of -52*s**4 + 3*s**2 + 2*s - 435.
-624*s**2 + 6
What is the derivative of 1010*b**2*n + 11*b**2 - b*n**2*z - 6*b*z + b wrt n?
1010*b**2 - 2*b*n*z
Find the second derivative of -147*w**3*z**2 - 3*w**3*z - w**2*z - 15*w*z wrt z.
-294*w**3
What is the first derivative of -4*k**4 - 37*k**3 - 285 wrt k?
-16*k**3 - 111*k**2
What is the third derivative of -1173*n**5 + 1865*n**2 wrt n?
-70380*n**2
What is the derivative of -5*o*q*v + 6*o*q + o*v**3 - q*v**2 + 99*v**3 wrt o?
-5*q*v + 6*q + v**3
What is the first derivative of 405*k**4 - 967 wrt k?
1620*k**3
Find the second derivative of -j*o**5 - j*o**2 + 9*j*o - 33*o**5 - 2*o + 7 wrt o.
-20*j*o**3 - 2*j - 660*o**3
Find the third derivative of 66*g**3*j**3 + 3*g**3 + 8*g**2*j**3 - 282*g**2*j**2 wrt j.
396*g**3 + 48*g**2
Find the second derivative of -11*n**2 + 2*n - 6 wrt n.
-22
What is the third derivative of a**2*b**4 - 12*a**2*b**2 + 7*a**2*b - 2*a*b**2 + 838*b**4 wrt b?
24*a**2*b + 20112*b
Find the second derivative of 44*y**3 - 1949*y.
264*y
Find the second derivative of 58*f**3 - 9*f - 8.
348*f
Find the second derivative of 59*r**2 - 24*r.
118
What is the second derivative of 1324*i**3*m**5 + 63*i**3 + 16*i**2*m + 2*i*m**5 wrt m?
26480*i**3*m**3 + 40*i*m**3
Find the third derivative of -2*q**4 - 92*q**3 + 1246*q**2 + 2*q.
-48*q - 552
What is the second derivative of 3318*t**2 - 821*t wrt t?
6636
What is the first derivative of s**4 - 7*s**3 + 196 wrt s?
4*s**3 - 21*s**2
Find the second derivative of 297*q**2*v**2 - 40*q**2 + 4*v wrt v.
594*q**2
What is the first derivative of 2*j*w**2 + 26*j*w - w**2 + 72*w wrt j?
2*w**2 + 26*w
What is the derivative of -i**2*t**3 - 328*i**2*t + 2*i*t**3 + 11849*t**3 wrt i?
-2*i*t**3 - 656*i*t + 2*t**3
Differentiate 3357*h + 2452 with respect to h.
3357
Differentiate -2200*t*z**3 + 35*z**3 + 36*z with respect to t.
-2200*z**3
Differentiate 10063*j**4 + 10370 wrt j.
40252*j**3
What is the second derivative of -7*n**5 + 3*n**4 + 11*n - 5?
-140*n**3 + 36*n**2
Find the second derivative of -459*c**5 - 115*c.
-9180*c**3
What is the second derivative of -8*k**2*m**3 - 2*k**2 + 7*m**3 - 289*m wrt m?
-48*k**2*m + 42*m
What is the second derivative of 60*o**4 - 3*o**3 + 2*o**2 + o - 1742?
720*o**2 - 18*o + 4
Find the third derivative of -1307*b**3 + 832*b**2.
-7842
What is the second derivative of w**4 + 91*w**3 + 28*w - 1 wrt w?
12*w**2 + 546*w
What is the third derivative of -501*p**3 + 4*p**2 + 29*p wrt p?
-3006
What is the derivative of -912*i**3 - 766?
-2736*i**2
What is the first derivative of 2*d*i**3*s - 2*d*i*s + 2*d + 953*i**3 - 35*i*s wrt s?
2*d*i**3 - 2*d*i - 35*i
What is the derivative of -3*g**3*m*o**3 - 228*g**3*o**3 - 6*g**3 + 24*g*m*o**3 - 3*m*o wrt m?
-3*g**3*o**3 + 24*g*o**3 - 3*o
What is the second derivative of 1258*l**5 - 726*l?
25160*l**3
What is the first derivative of -17*p**3*u - 14*p**3 + p**2*u + 2*p*u**4 wrt u?
-17*p**3 + p**2 + 8*p*u**3
What is the second derivative of 210*a*p**4 - 44*a*p + a wrt p?
2520*a*p**2
Find the second derivative of -1159*c**2*h**2 - 56*c**2*h + 4*h wrt h.
-2318*c**2
What is the second derivative of 7*f*q**5 - 5*f*q**2 - 19*f*q*u + 12*f + 2*q**5*u wrt q?
140*f*q**3 - 10*f + 40*q**3*u
What is the second derivative of 250*j*l**4 - j*l - 75*j*w - l**4 - l**3*w - 4*l*w - l wrt l?
3000*j*l**2 - 12*l**2 - 6*l*w
Find the third derivative of -3*c**6 - 102*c**3 - 8*c**2 - 3 wrt c.
-360*c**3 - 612
Find the second derivative of 2*m**3 + 52*m**2 - 122*m.
12*m + 104
What is the third derivative of -206*j**3*p**3 - 92*j**3*p**2 + 2*j**2*p**2 + 2*p**6 wrt p?
-1236*j**3 + 240*p**3
What is the second derivative of -102*k**3 - 44*k + 4 wrt k?
-612*k
What is the third derivative of 14*f**6 - 3*f**4*m**2 - 7*f**2*m - 6*f*m**2 wrt f?
1680*f**3 - 72*f*m**2
Differentiate -4*o**2*t**2 + o**2*t - 640*o**2 - 36*o*t**2 wrt t.
-8*o**2*t + o**2 - 72*o*t
What is the derivative of -2*n**3 + 72*n**2 - 1?
-6*n**2 + 144*n
Find the second derivative of 25*k**5 + 7*k**3 + 1347*k.
500*k**3 + 42*k
Differentiate 704*k**2 + 1392 with respect to k.
1408*k
Differentiate 10*p**2 + 365*p + 20031.
20*p + 365
What is the third derivative of 16*c**3*f**3*o**3 - 43*c**3*f
|
{
"pile_set_name": "DM Mathematics"
}
|
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