text
stringlengths 2.35k
7.98k
| meta
dict |
|---|---|
(a) -70 (b) -239 (c) -1 (d) 3/5 (e) -71/3 (f) 0.4
c
Which is the second smallest value? (a) 0.033 (b) 4 (c) 2/9 (d) 0.4 (e) -6/7 (f) -2/7 (g) 0.06
f
What is the third biggest value in -237, 5, 0.02, -4/5, -1, 3, -212?
0.02
Which is the second biggest value? (a) -32.3 (b) 24/89 (c) -5 (d) 0.4 (e) -0.3
b
Which is the fourth smallest value? (a) 47.5 (b) -2/3 (c) 2/11 (d) -118 (e) -3 (f) 56 (g) -4
b
What is the fifth biggest value in -10, 3/4, 5, 12831, -0.3?
-10
Which is the biggest value? (a) 18/11 (b) -21 (c) 2 (d) 9 (e) 0 (f) -2
d
Which is the fifth biggest value? (a) 15/8 (b) 1 (c) 8 (d) -5 (e) -7 (f) 2/17 (g) 3
f
What is the second smallest value in 0.5, 2, 0.9, 6, 9, 0, 1.8?
0.5
Which is the fourth biggest value? (a) 1 (b) 1/3 (c) -0.5 (d) 1766 (e) 0.5
b
Which is the fifth biggest value? (a) -46 (b) 3/13 (c) 0 (d) 60 (e) -11
a
What is the sixth smallest value in 2, 1/7, 8, -0.4, 0.4, 44, 12?
12
Which is the second biggest value? (a) 0.1 (b) 0.12 (c) 156 (d) -2 (e) -4 (f) -593
b
What is the second smallest value in 5, -0.068, 0.5, -655.64?
-0.068
What is the third biggest value in 13, -60, 1.3, -2, -1, -0.05, -2/17?
-0.05
What is the fourth smallest value in -199, -0.1, 3, 0.01197?
3
Which is the third smallest value? (a) 0.1039 (b) 0.032 (c) 5 (d) 2/7 (e) -6
a
What is the smallest value in 2/5, 58/1541, 2, 1/2?
58/1541
What is the biggest value in -2/9, -4920.33, 6?
6
Which is the second smallest value? (a) -17 (b) -11 (c) -3 (d) 16 (e) -2 (f) -72 (g) -5
a
Which is the second biggest value? (a) 6 (b) 4 (c) -1/3 (d) -6.5 (e) -0.7 (f) -1/6
b
What is the third smallest value in -2, 2/13, -1/113, 0, 1/10, 5, 4?
0
What is the fourth smallest value in 1/2, 0.11, 658.1, 0.3, 2, -3, -0.1?
0.3
What is the fourth biggest value in 0.12, 0.4, -0.11, -204, 5?
-0.11
What is the fourth biggest value in 0.03, -493, -5/3, 6/5, 3?
-5/3
Which is the seventh biggest value? (a) 2 (b) 2.69 (c) -137 (d) -1/2 (e) 0 (f) 6 (g) 0.5
c
Which is the third smallest value? (a) 363/10 (b) -1 (c) 535
c
What is the fourth smallest value in 0.1, 9/5, -212, -20228?
9/5
Which is the biggest value? (a) -2/53 (b) -0.8 (c) 0 (d) 0.5 (e) -1.41 (f) 3/23 (g) -2/7
d
Which is the smallest value? (a) 3/8 (b) 14 (c) -0.813 (d) 21 (e) -0.2
c
What is the third smallest value in -8, 29.2, 2/13, -213?
2/13
What is the third smallest value in 23, -4.4, -546.6?
23
Which is the fourth biggest value? (a) -0.052 (b) -24 (c) -2/11 (d) 566 (e) -4 (f) 1/2
c
What is the seventh smallest value in -0.5, 0.01, 1, 1/7, -2/7, 3/2, 1/24?
3/2
Which is the fourth smallest value? (a) 0.2 (b) -0.45 (c) -0.07 (d) -21 (e) -2/9 (f) 3
c
What is the fourth biggest value in 3, 2/7, -395/83, -16/3?
-16/3
What is the third smallest value in 1/2, 1/3, -19, -32/13, -8?
-32/13
Which is the smallest value? (a) 1 (b) 9 (c) -1/25836 (d) 13
c
Which is the second smallest value? (a) -0.2 (b) -80 (c) 0.0151 (d) 0.1 (e) 0 (f) 26
a
Which is the smallest value? (a) -2 (b) -1/4 (c) 1 (d) -117657
d
Which is the fifth smallest value? (a) 4/15 (b) 0.2 (c) 1/3 (d) -6 (e) 6 (f) 1 (g) -7
c
What is the third biggest value in -0.4, 3/39830, -20?
-20
Which is the smallest value? (a) 2/5 (b) -23331/127 (c) -5
b
What is the third smallest value in 7311445, -13, 5?
7311445
What is the smallest value in -839, -0.179, 2, -3/5, -1, -0.3?
-839
What is the third biggest value in -1.1, -0.3, 5/4, 0, 2/9, -60/17?
0
What is the second smallest value in 2/13, 2/51, -0.103055?
2/51
Which is the third smallest value? (a) 5 (b) 3 (c) 0.101 (d) 1/33 (e) 29 (f) 4
b
Which is the smallest value? (a) -255/16 (b) -2/7 (c) 2/5 (d) 3/106
a
What is the third biggest value in -0.2, 2/33, -2, 2.2168?
-0.2
Which is the fifth smallest value? (a) -13 (b) 0.2 (c) -8169 (d) 13 (e) -0.036
d
What is the smallest value in 1/32929, -0.3, 1/4, 4/5, 0.04, -1?
-1
What is the fourth smallest value in 3, 4/5, -2.81, -0.7, 1/4?
4/5
Which is the fourth smallest value? (a) 2 (b) 3/4 (c) 0.001 (d) -1 (e) 40
a
Which is the fifth smallest value? (
|
{
"pile_set_name": "DM Mathematics"
}
|
1
What is -53885072 divided by -4?
13471268
What is 23823997 divided by 23823997?
1
Calculate 965740 divided by 20.
48287
-70123 divided by 74
-70123/74
Divide 2 by -1842562.
-1/921281
What is -118 divided by -1023970?
59/511985
Calculate 1078 divided by -24291.
-1078/24291
Divide 135610369 by 23.
5896103
What is 9714220 divided by 4?
2428555
Divide 3397954 by 98.
34673
Divide -3203 by 40134.
-3203/40134
Calculate 16904188 divided by 8092.
2089
Divide 48702870 by 16234290.
3
Divide 24 by 2317547.
24/2317547
Calculate 152 divided by -33683.
-152/33683
What is 1423787244 divided by 4?
355946811
What is -692590 divided by -4?
346295/2
Divide -1733004475 by -5.
346600895
What is -8728374 divided by 1?
-8728374
Divide 2550452 by -97.
-2550452/97
1682039909 divided by -159269
-10561
Divide -21918234 by -39.
562006
-11 divided by 17891451
-11/17891451
What is 475976 divided by -8?
-59497
-10 divided by -1069445
2/213889
Calculate 8898550 divided by -2.
-4449275
What is 1336 divided by 6489?
1336/6489
-17256047 divided by 1
-17256047
-204893928 divided by 334794
-612
What is 29201718 divided by 1659?
17602
Calculate 4 divided by 7134089.
4/7134089
What is 303565277 divided by -3247?
-93491
What is -5974120 divided by 597412?
-10
What is 190820403 divided by 408609?
467
Divide 33446685 by 2229779.
15
Divide 10 by 2603855.
2/520771
Divide -74 by -86951.
74/86951
What is -142192 divided by -4158?
71096/2079
Calculate 4 divided by -1498796.
-1/374699
Divide -4 by -1866681.
4/1866681
Calculate -1694925 divided by -3645.
465
Divide 7084776 by -2361592.
-3
Calculate -4582 divided by -2488.
2291/1244
-25544 divided by 2353
-25544/2353
5024 divided by 2838
2512/1419
What is 48106707 divided by 8907?
5401
Calculate 181 divided by -252418.
-181/252418
Calculate -98137 divided by -28.
98137/28
Divide 584 by -13944.
-73/1743
Calculate 3 divided by 737191.
3/737191
Divide -796944 by -796944.
1
-7617036 divided by 21
-362716
-1152412724 divided by -4
288103181
What is -3 divided by -596417?
3/596417
Divide 40783154 by -8.
-20391577/4
Divide 197998550 by 6.
98999275/3
-982640504 divided by -638908
1538
What is 5814952 divided by 3289?
1768
-23268426 divided by -45714
509
Divide 384977 by -60.
-384977/60
Calculate 4759680 divided by -158656.
-30
Calculate -11084607 divided by 5.
-11084607/5
Calculate -2 divided by -190772376.
1/95386188
Divide 3696300 by 739260.
5
What is 6867616 divided by 4991?
1376
12489984 divided by 10842
1152
Calculate 23835 divided by -1481.
-23835/1481
Calculate 104524 divided by 7350.
7466/525
Divide -3425529 by 5.
-3425529/5
7339 divided by -15298
-7339/15298
What is -5 divided by -1991737?
5/1991737
Calculate -346311338 divided by -626.
553213
Divide -70072482 by -1461.
47962
-45933 divided by 78
-15311/26
588402 divided by -9
-65378
Divide -2639028 by -267.
9884
What is 5328 divided by 36359?
5328/36359
Divide 12176230 by -145.
-83974
Divide 69443 by -2554.
-69443/2554
Calculate -540495 divided by -15.
36033
Calculate 108589179 divided by -3.
-36196393
Calculate -633 divided by -71354.
633/71354
Divide 1164550 by 3.
1164550/3
2670756 divided by 2670756
1
Calculate -116874450 divided by -63.
1855150
Divide -87400920 by 60.
-1456682
895696 divided by -5
-895696/5
Divide -682899 by -101.
682899/101
Calculate 120106170 divided by -30.
-4003539
Divide -70009340 by 4.
-17502335
What is -88795850 divided by 65?
-1366090
What is 193826 divided by -18?
-96913/9
What is -623 divided by -4301?
623/4301
Divide -101901884 by 28.
-3639353
Divide -2173964 by -41807.
52
Divide 191 by 5711.
191/5711
Divide -21225660 by 1061283.
-20
Calculate 40832683 divided by 3.
40832683/3
-150964075 divided by -30192815
5
Calculate 785029 divided by -21217.
-37
What is 31580118 divided by 153?
206406
77172876 divided by -12862146
-6
Divide 96 by -12990512.
-6/811907
0 divided by -36402803
0
What is 552023334 divided by -27842?
-19827
Divide 3873240 by 645540.
6
Divide 61 by -335288.
-61/335288
390069499 divided by -888541
-439
25034646 divided by -169
-148134
-35397908 divided by 14
-2528422
What is 5459705 divided by 61345?
89
Calculate 19801 divided by -29.
-19801/29
What is -54053208 divided by 194436?
-278
80821557 divided by -81
-997797
What is 54377526 divided by 119?
456954
Divide 34 by 16751730.
17/8375865
Calculate 108578955 divided by -5.
-21715791
Calculate -62900 divided by -62.
31450/31
Divide -892944960 by 120.
-7441208
Calculate 872526642 divided by 26.
33558717
What is 1501047 divided by -77?
-1501047/77
What is 214300 divided by -2708?
-53575/677
166684322 divided by 7
23812046
38966391 divided by 38966391
1
What is 54358479 divided by 9?
6039831
Calculate -22481 divided by 1278.
-22481/1278
Divide 98577 by 3578.
98577/3578
Divide 31230633 by 1.
31230633
Divide -3 by -15864857.
3/15864857
Calculate -150392655 divided by 21484665.
-7
What is -5491 divided by 2907?
-17/9
What is 255685 divided by 199?
255685/199
Calculate -526784365 divided by -5.
105356873
Calculate 872657952 divided by 436328976.
2
Divide -65756 by 29.
-65756/29
205 divided by 49419
205/49419
What is -1566678400 divided by -3916696?
400
Calculate 292708232 divided by -36588529.
-8
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
rmine g(69).
-2
Let r(g) = -g**2 - 56*g + 208. Calculate r(-58).
92
Let t(p) = -p**3 - 13*p**2 - 7*p + 39. What is t(-13)?
130
Let f(r) = -2*r**3 + 126*r**2 + 1294*r + 107. What is f(72)?
-37
Let j(f) = f**3 - 16*f**2 - 228*f + 75. Calculate j(25).
0
Let c(o) = -o**3 + 13*o**2 - 19*o + 9. Determine c(5).
114
Let p(x) = x**3 - 2*x**2 + 47*x + 93. Give p(-2).
-17
Let v(l) = 64*l**2 + 2*l - 39. Give v(0).
-39
Let r(f) = -f**3 + 13*f**2 - 27. What is r(13)?
-27
Let x(u) = 579*u - 17367. Calculate x(30).
3
Let s(r) = 36*r - 137. Determine s(7).
115
Let j(y) = -y**2 - 28*y - 8. Give j(-23).
107
Let m(b) = -8982*b - 44907. What is m(-5)?
3
Let k(y) = 5036*y - 25168. What is k(5)?
12
Let d(r) = r**2 + 465*r + 4991. What is d(-11)?
-3
Let w(p) = p**3 + 10*p**2 - 6*p - 103. Give w(-10).
-43
Let h(w) = -w**3 + 29*w**2 - 202*w + 74. Give h(18).
2
Let n(o) = 11878*o - 95040. Calculate n(8).
-16
Let k(j) = -83*j**3 - 4*j**2 + 6*j + 11. Calculate k(-1).
84
Let h(f) = f**3 + 14*f**2 - 43*f - 525. Determine h(-6).
21
Let t(m) = -m**2 + 4*m + 76. Determine t(11).
-1
Let q(m) = 5*m**2 - 89*m - 720. Calculate q(-6).
-6
Let b(m) = -2*m + 6. Determine b(20).
-34
Let a(z) = 7*z**2 + 481*z - 962. Determine a(2).
28
Let a(z) = -338*z - 2154. What is a(-6)?
-126
Let c(h) = 2*h**2 + 448*h + 889. Calculate c(-2).
1
Let q(t) = -12*t**2 + 2*t + 28. Calculate q(0).
28
Let o(w) = -4*w**2 + 3*w - 14. Give o(5).
-99
Let n(t) = -126*t - 3149. What is n(-25)?
1
Let a(w) = -36*w + 223. Determine a(5).
43
Let g(p) = p**3 + 23*p**2 - 196*p + 213. What is g(-30)?
-207
Let g(y) = -7656*y + 30607. What is g(4)?
-17
Let q(n) = -9*n + 9. Calculate q(-2).
27
Let d(y) = 1051*y + 9467. Give d(-9).
8
Let m(y) = y**2 + 28*y + 191. Calculate m(-8).
31
Let g(t) = -t**3 - 4*t**2 - 8*t - 65. What is g(-5)?
0
Let k(j) = -93*j - 1950. Give k(-21).
3
Let d(y) = 3*y**3 + 56*y**2 + 38*y + 30. Determine d(-18).
-6
Let g(s) = -47*s - 554. Determine g(-16).
198
Let t(k) = k**3 + 19*k**2 + 35*k + 16. What is t(-17)?
-1
Let i(y) = 42*y - 1001. Determine i(21).
-119
Let s(t) = 147*t**2 + 1346*t + 214. Calculate s(-9).
7
Let p(l) = -44*l - 727. Determine p(-20).
153
Let p(j) = -4*j**2 + 44*j - 33. Calculate p(12).
-81
Let k(y) = 34*y - 77. Calculate k(2).
-9
Let h(m) = -184*m + 24836. Calculate h(135).
-4
Let d(a) = -a**3 - 8*a**2 - 17*a - 123. Give d(-8).
13
Let r(d) = 183*d + 8056. What is r(-44)?
4
Let f(s) = -942*s - 8479. What is f(-9)?
-1
Let q(b) = -601*b + 4060. Give q(7).
-147
Let u(k) = 3*k - 196. Determine u(68).
8
Let u(j) = -j**3 + 2*j**2 + 11*j - 14. Calculate u(2).
8
Let r(g) = -g**2 - 57*g - 177. Calculate r(-53).
35
Let s(a) = 127*a + 49. What is s(2)?
303
Let r(m) = -m**3 - 24*m**2 - 16*m - 4. What is r(-23)?
-165
Let d(z) = z**3 + 4*z**2 + 8*z + 48. Determine d(-5).
-17
Let t(x) = -2*x**2 + 12*x + 58. What is t(8)?
26
Let o(x) = -x**2 - 27*x - 179. Determine o(-12).
1
Let f(i) = 4*i**2 + 3*i + 1. Calculate f(-2).
11
Let q(p) = 246*p - 370. Determine q(2).
122
Let q(n) = -685*n + 7. Determine q(0).
7
Let s(t) = -26*t**3 - 5*t**2 + 6*t - 9. Give s(3).
-738
Let g(y) = -97*y + 3159. What is g(36)?
-333
Let p(j) = -37*j**2 - 5*j - 19. Calculate p(-3).
-337
Let u(x) = -3*x**2 + 96*x + 37. Give u(31).
130
Let p(q) = -q**2 - 7*q - 66. Determine p(0).
-66
Let q(m) = -145*m - 1113. Calculate q(-7).
-98
Let h(u) = -3*u**3 + 60*u**2 - 252*u - 13. Give h(14).
-13
Let n(s) = -7*s - 63. Determine n(-5).
-28
Let u(l) = 262*l - 40618. Give u(155).
-8
Let y(v) = 187*v - 45631. What is y(244)?
-3
Let a(d) = d**3 - 21*d**2 - 67*d + 275. Determine a(24).
395
Let c(p) = -1570*p - 1588. Give c(-1).
-18
Let v(w) = w**2 + 25*w - 275. What is v(-33)?
-11
Let j(s) = 128*s + 885. Give j(-6).
117
Let a(g) = 89*g + 7206. What is a(-80)?
86
Let x(i) = i**3 + 36*i**2 + 115*i - 541. Determine x(-32).
-125
Let o(y) = -7*y**2 - 17*y + 33. Determine o(5).
-227
Let y(z) = -5*z**3 + 5*z**2 - 7*z +
|
{
"pile_set_name": "DM Mathematics"
}
|
Collect the terms in -214*w - 211*w - 209*w + 625*w.
-9*w
Collect the terms in 1932*r**2 - 3861*r**2 + 1927*r**2.
-2*r**2
Collect the terms in 21*x - 6*x - 23*x.
-8*x
Collect the terms in 213*d**3 - 217*d**3 - 2*d + 2*d.
-4*d**3
Collect the terms in -8 - 3 - 5*c + 10 + 1.
-5*c
Collect the terms in -6949*m**3 + 3478*m**3 + 3469*m**3.
-2*m**3
Collect the terms in 198*s**2 + 1131*s**2 + 1591*s**2.
2920*s**2
Collect the terms in 265*d**2 + 95*d**2 - 37*d**2.
323*d**2
Collect the terms in 11732*x - 2*x**3 - 5872*x + x**3 - 5860*x.
-x**3
Collect the terms in 58 + 66 - 124 - 2*h**2.
-2*h**2
Collect the terms in -6*r - 9*r + 18*r.
3*r
Collect the terms in 3*t + 2*t - 4*t.
t
Collect the terms in -2*q + 0*q + 2*q + 8*q.
8*q
Collect the terms in 0*i - 7*i + 2*i + 3*i.
-2*i
Collect the terms in -1214136 - 2*b**2 + 1214136.
-2*b**2
Collect the terms in -7 - 8*q**3 + q**3 - 2.
-7*q**3 - 9
Collect the terms in 2*p - 6*p + 4*p + 4*p**3 - 7*p**3.
-3*p**3
Collect the terms in -9936*w + 9938*w + 0 + 0.
2*w
Collect the terms in -125*d**2 + 49*d**2 + 36*d**2 + 40*d**2 - 2*d**3.
-2*d**3
Collect the terms in -347*r + 1 - 1 + 340*r.
-7*r
Collect the terms in 9*a**3 - 8*a**3 - 7*a**3 + 8*a**3 + a**3.
3*a**3
Collect the terms in -89*y**3 - 111*y**3 + y**3.
-199*y**3
Collect the terms in -11*v + 7*v + v + 2*v.
-v
Collect the terms in 2134 - 2134 + 0*h + 7*h.
7*h
Collect the terms in -3*d + 10 + 9 - 4 - 15.
-3*d
Collect the terms in 3*w + 44*w**3 - 3*w.
44*w**3
Collect the terms in 7*z - 4*z - 31*z.
-28*z
Collect the terms in 2 - 2 - 19*v + 7*v.
-12*v
Collect the terms in -20*n - n + 12*n.
-9*n
Collect the terms in -4 - 5 + 2*f - 11*f + 4*f.
-5*f - 9
Collect the terms in 3*w**3 - w**3 + 3*w**3 - 4*w**3.
w**3
Collect the terms in 23*g**2 - 15*g**2 + 23*g**2 + 8*g**2.
39*g**2
Collect the terms in 0 - 3796*h + 0 + 3793*h.
-3*h
Collect the terms in 431*p - 149*p - 142*p + p**3 - 140*p.
p**3
Collect the terms in 47*y**2 - 5 + 5.
47*y**2
Collect the terms in 54*w - 11*w - 6*w.
37*w
Collect the terms in -8*z + 11*z - 11*z.
-8*z
Collect the terms in 88*y**3 - 182*y**3 + 91*y**3.
-3*y**3
Collect the terms in 0*s + 0*s - 10 - 6*s**2 + 32.
-6*s**2 + 22
Collect the terms in -34*n + 10*n + 11*n + 4*n.
-9*n
Collect the terms in 7*u + 2 - 7*u + 8*u + 12*u.
20*u + 2
Collect the terms in -1 + 3 - 21*x**2 - 2.
-21*x**2
Collect the terms in -3 - 19*t**2 + 53*t**2 + 6.
34*t**2 + 3
Collect the terms in 1 + a - 1 - 1 + 1.
a
Collect the terms in 159 + 159 - 20*i**2 + 164 - 482.
-20*i**2
Collect the terms in -2 + 2*a - 14 + a - 18.
3*a - 34
Collect the terms in 18*q**2 + 4*q**2 + 42*q**2.
64*q**2
Collect the terms in 128*u - 14*u + 2 + 70*u - 32*u.
152*u + 2
Collect the terms in -3*v**2 + 14*v**2 + 10*v**2.
21*v**2
Collect the terms in -8 + 1 + 4*l**3 + 7.
4*l**3
Collect the terms in 13*l**3 - 21*l**3 - 9*l**3.
-17*l**3
Collect the terms in -26*m + 7*m**2 + 26*m.
7*m**2
Collect the terms in 144*h**3 + 163*h**3 - 40*h**3.
267*h**3
Collect the terms in -84*q**3 - q + 4*q - 4*q.
-84*q**3 - q
Collect the terms in -1 + 3 - 7 + 18*d**2 + 4.
18*d**2 - 1
Collect the terms in -7*q**2 + 11*q**2 - 4*q**2 - 4*q**3.
-4*q**3
Collect the terms in -7*o + 6*o + 11 - 11.
-o
Collect the terms in 166076 - 2*x - 166076.
-2*x
Collect the terms in 43 + 42 + 2*x**3 - 85.
2*x**3
Collect the terms in -16*g - 15*g + 27*g.
-4*g
Collect the terms in 2*o - 3*o + 0*o**3 + 5*o**3 - o.
5*o**3 - 2*o
Collect the terms in 799 - 799 - 16*g**3.
-16*g**3
Collect the terms in -p**2 - 3 + 0 - 17*p**2 + 2.
-18*p**2 - 1
Collect the terms in 53*j**3 - 109*j**3 + 30*j**3 + 25*j**3.
-j**3
Collect the terms in 48*s - 3*s**2 + s**2 + 40*s - 88*s.
-2*s**2
Collect the terms in 23*i - 16*i + 2 - 42*i.
-35*i + 2
Collect the terms in -119*n + 46*n + 64*n.
-9*n
Collect the terms in 23*x**2 + 3*x**3 + 22*x**2 - 45*x**2.
3*x**3
Collect the terms in 3*a + 5*a + 10*a - 18*a + 2*a.
2*a
Collect the terms in -4 - 2 + 6 + 857*v**3.
857*v**3
Collect the terms in -195*u**3 + 3257 + 64*u**3 - 3257.
-131*u**3
Collect the terms in -8 + 8 + 37*q - 41*q.
-4*q
Collect the terms in -10*f**3 + 0 - 4 + 4.
-10*f**3
Collect the terms in 25*v - 5*v - 22*v.
-2*v
Collect the terms in -1679*z + z**2 + 1679*z.
z**2
|
{
"pile_set_name": "DM Mathematics"
}
|
, -81043, -81046?
-81049
What is the next term in -508, -3820, -9294, -16894, -26584, -38328, -52090, -67834?
-85524
What is next in -1785213, -1785209, -1785205?
-1785201
What is the next term in 5706, 23458, 53022, 94380, 147514, 212406, 289038?
377392
What is next in -252972, -253064, -253216, -253428, -253700, -254032?
-254424
What is the next term in 1526, 1552, 1600, 1670, 1762, 1876?
2012
What comes next: 59147130, 118294273, 177441414, 236588553, 295735690, 354882825?
414029958
What is next in -7807210, -31228860, -70264944, -124915462, -195180414, -281059800?
-382553620
What is next in -17013, -33771, -50529, -67287?
-84045
What is next in -44394, -44544, -44786, -45126, -45570, -46124?
-46794
What comes next: -7826, -62170, -209668, -496904, -970462, -1676926, -2662880, -3974908?
-5659594
What is next in -10017, -20107, -30287, -40563, -50941, -61427?
-72027
What is the next term in 5543, 22149, 49813, 88535, 138315?
199153
What comes next: -16486, -33500, -50514?
-67528
What comes next: -104360, -208697, -313014, -417311?
-521588
What is the next term in -20860, -29948, -39036, -48124, -57212?
-66300
What comes next: -115577, -115492, -115351, -115154, -114901?
-114592
What is the next term in 550282, 1100548, 1650790, 2201008, 2751202, 3301372, 3851518?
4401640
What is the next term in -236, -974, -2218, -3962, -6200, -8926?
-12134
What comes next: 35552, 72356, 109160, 145964, 182768?
219572
What is next in 57078, 114042, 170980, 227886, 284754?
341578
What is the next term in -20994, -148779, -495622, -1171053, -2284602, -3945799, -6264174?
-9349257
What is the next term in 22567, 22170, 21773, 21376, 20979, 20582?
20185
What is next in -633024, -1266052, -1899084, -2532120, -3165160, -3798204, -4431252?
-5064304
What is next in 12246, 12264, 12282, 12300?
12318
What is next in 29674578, 29674577, 29674576, 29674575, 29674574, 29674573?
29674572
What is the next term in 42462, 51442, 60422?
69402
What comes next: 41920772, 83841549, 125762326, 167683103, 209603880, 251524657?
293445434
What comes next: 24292623, 24292617, 24292611, 24292605, 24292599?
24292593
What comes next: 29174, 25649, 22110, 18551, 14966, 11349, 7694, 3995?
246
What is next in 128294003, 128294002, 128294001?
128294000
What comes next: 46436241, 46436218, 46436195, 46436172?
46436149
What is next in -3332755, -3332759, -3332765, -3332773, -3332783?
-3332795
What is the next term in -13896422, -13896434, -13896446?
-13896458
What comes next: 440, 617, 1140, 2183, 3920, 6525?
10172
What is next in -9276, -8684, -7090, -3996, 1096, 8684, 19266?
33340
What comes next: -28115, -28233, -28315, -28343, -28299?
-28165
What is the next term in 4333, 17538, 39615, 70564, 110385, 159078?
216643
What comes next: 53146, 212547, 478244, 850255, 1328598, 1913291, 2604352, 3401799?
4305650
What comes next: 72993158, 72993159, 72993160, 72993161?
72993162
What is the next term in 177, 811, 1907, 3465, 5485?
7967
What is the next term in -4298888, -4298887, -4298886, -4298885, -4298884, -4298883?
-4298882
What comes next: -69412, -277540, -624384, -1109944?
-1734220
What is next in 162144, 324512, 487106, 649926, 812972, 976244?
1139742
What comes next: 1474898, 2949810, 4424722, 5899634?
7374546
What is next in -88, 40, 252, 548, 928, 1392, 1940?
2572
What comes next: 490, 1208, 3236, 7228, 13838, 23720, 37528?
55916
What is the next term in 11134, 45393, 102500, 182461, 285282?
410969
What comes next: -4086318, -8172633, -12258948, -16345263?
-20431578
What is the next term in -2344, -2135, -1788, -1303, -680, 81?
980
What is the next term in -49392, -197598, -444706, -790794, -1235940, -1780222, -2423718, -3166506?
-4008664
What comes next: 28275, 60274, 92261, 124230, 156175?
188090
What is the next term in -540, -375, 1312, 5331, 12492, 23605?
39480
What is next in 1234499, 2468997, 3703495, 4937993?
6172491
What is next in -25042, -99653, -224006, -398101, -621938?
-895517
What is the next term in -1020534, -1020547, -1020570, -1020609, -1020670?
-1020759
What is the next term in 186804, 373546, 560288, 747030, 933772?
1120514
What is next in -20653596, -20653594, -20653592?
-20653590
What is next in -370328, -740093, -1109858, -1479623, -1849388, -2219153?
-2588918
What is next in -1841, -1818, -1711, -1478, -1077?
-466
What comes next: 478575, 957148, 1435719, 1914288, 2392855?
2871420
What is next in -130245, -523935, -1180085, -2098695, -3279765, -4723295, -6429285?
-8397735
What is the next term in -1787785, -3575560, -5363335, -7151110, -8938885, -10726660?
-12514435
What is next in 590997, 1181996, 1772995?
2363994
What comes next: -154766275, -309532548, -464298821, -619065094, -773831367, -928597640?
-1083363913
What is next in
|
{
"pile_set_name": "DM Mathematics"
}
|
there between 3:05 AM and 10:44 AM?
459
What is 677 minutes before 7:49 PM?
8:32 AM
What is 620 minutes before 5:33 AM?
7:13 PM
What is 525 minutes before 4:33 AM?
7:48 PM
How many minutes are there between 8:52 AM and 2:12 PM?
320
What is 612 minutes after 12:23 AM?
10:35 AM
How many minutes are there between 12:27 AM and 5:55 AM?
328
What is 115 minutes after 12:37 PM?
2:32 PM
What is 520 minutes after 1:23 AM?
10:03 AM
What is 401 minutes before 10:54 AM?
4:13 AM
How many minutes are there between 2:32 AM and 5:54 AM?
202
How many minutes are there between 8:30 AM and 4:58 PM?
508
What is 127 minutes before 3:00 AM?
12:53 AM
How many minutes are there between 8:44 AM and 2:08 PM?
324
What is 139 minutes after 5:37 AM?
7:56 AM
How many minutes are there between 6:48 PM and 12:30 AM?
342
How many minutes are there between 2:13 PM and 12:36 AM?
623
How many minutes are there between 11:38 AM and 6:39 PM?
421
What is 596 minutes after 9:27 AM?
7:23 PM
What is 416 minutes after 8:14 PM?
3:10 AM
How many minutes are there between 9:55 AM and 5:43 PM?
468
What is 289 minutes after 9:43 AM?
2:32 PM
How many minutes are there between 4:56 AM and 3:20 PM?
624
What is 249 minutes after 4:45 AM?
8:54 AM
How many minutes are there between 6:27 PM and 10:23 PM?
236
How many minutes are there between 9:47 AM and 9:53 AM?
6
How many minutes are there between 8:26 AM and 6:14 PM?
588
What is 359 minutes after 12:55 PM?
6:54 PM
How many minutes are there between 9:06 PM and 3:19 AM?
373
How many minutes are there between 6:47 AM and 6:17 PM?
690
How many minutes are there between 3:24 AM and 8:24 AM?
300
What is 597 minutes before 3:06 PM?
5:09 AM
What is 342 minutes after 7:08 PM?
12:50 AM
How many minutes are there between 12:55 PM and 9:32 PM?
517
What is 681 minutes before 8:11 PM?
8:50 AM
What is 292 minutes before 8:27 AM?
3:35 AM
How many minutes are there between 6:37 AM and 6:36 PM?
719
What is 482 minutes after 12:48 AM?
8:50 AM
How many minutes are there between 12:47 PM and 12:42 AM?
715
How many minutes are there between 4:24 AM and 3:00 PM?
636
What is 576 minutes after 5:21 PM?
2:57 AM
What is 41 minutes before 12:01 PM?
11:20 AM
How many minutes are there between 12:52 AM and 6:05 AM?
313
How many minutes are there between 8:20 AM and 4:12 PM?
472
How many minutes are there between 1:46 AM and 11:18 AM?
572
What is 454 minutes after 10:41 AM?
6:15 PM
What is 408 minutes after 6:40 PM?
1:28 AM
How many minutes are there between 7:19 AM and 8:21 AM?
62
How many minutes are there between 3:25 AM and 4:00 AM?
35
What is 612 minutes after 9:47 PM?
7:59 AM
What is 153 minutes before 4:58 PM?
2:25 PM
How many minutes are there between 1:44 AM and 7:43 AM?
359
How many minutes are there between 2:07 AM and 6:37 AM?
270
What is 154 minutes after 2:04 PM?
4:38 PM
What is 420 minutes before 10:26 PM?
3:26 PM
How many minutes are there between 6:12 AM and 12:11 PM?
359
How many minutes are there between 5:53 AM and 11:21 AM?
328
How many minutes are there between 2:51 PM and 9:49 PM?
418
How many minutes are there between 1:37 PM and 5:00 PM?
203
What is 135 minutes before 11:03 AM?
8:48 AM
How many minutes are there between 2:30 PM and 12:29 AM?
599
What is 444 minutes after 7:08 PM?
2:32 AM
What is 159 minutes after 9:50 PM?
12:29 AM
What is 142 minutes after 10:03 AM?
12:25 PM
What is 63 minutes after 4:54 PM?
5:57 PM
How many minutes are there between 12:27 PM and 3:02 PM?
155
How many minutes are there between 8:25 AM and 2:41 PM?
376
How many minutes are there between 12:12 AM and 10:00 AM?
588
How many minutes are there between 5:36 PM and 3:23 AM?
587
What is 647 minutes after 6:35 PM?
5:22 AM
How many minutes are there between 12:22 AM and 9:25 AM?
543
How many minutes are there between 2:03 PM and 12:33 AM?
630
What is 677 minutes after 1:47 AM?
1:04 PM
How many minutes are there between 12:37 PM and 8:29 PM?
472
What is 528 minutes before 9:07 AM?
12:19 AM
How many minutes are there between 3:47 AM and 2:52 PM?
665
How many minutes are there between 7:25 AM and 8:05 AM?
40
How many minutes are there between 8:58 AM and 6:50 PM?
592
How many minutes are there between 9:12 AM and 6:00 PM?
528
What is 303 minutes after 10:14 AM?
3:17 PM
How many minutes are there between 12:23 PM and 7:03 PM?
400
How many minutes are there between 8:56 AM and 3:37 PM?
401
How many minutes are there between 4:04 PM and 6:38 PM?
154
How many minutes are there between 7:20 AM and 11:34 AM?
254
How many minutes are there between 7:31 AM and 10:21 AM?
170
How many minutes are there between 2:03 PM and 11:19 PM?
556
What is 195 minutes before 5:02 AM?
1:47 AM
How many minutes are there between 1:26 AM and 12:48 PM?
682
How many minutes are there between 5:12 PM and 4:43 AM?
691
How many minutes are there between 6:08 PM and 12:08 AM?
360
How many minutes are there between 5:49 AM and 10:41 AM?
292
What is 310 minutes after 6:24 PM?
11:34 PM
What is 27 minutes after 9:53 AM?
10:20 AM
What is 402 minutes after 11:01 AM?
5:43 PM
What is 405 minutes before 4:10 AM?
9:25 PM
What is 42 minutes after 9:46 AM?
10:28 AM
What is 468 minutes before 6:43 AM?
10:55 PM
How many minutes are there between 5:29 AM and 2:14 PM?
525
How many minutes are there between 7:50 AM and 2:32 PM?
402
How many minutes are there between 6:32 PM and 11:56 PM?
324
How many minutes are there between 3:10 AM and 1:51 PM?
641
How many minutes are there between 7:45 AM and 11:28 AM?
223
What is 25 minutes after 8:22 PM?
8:47 PM
What is 693 minutes before 7:54 AM?
8:21 PM
How many minutes are there between 10:20 AM and 11:20 AM?
60
What is 528 minutes after 5:01 AM?
1:49 PM
How many minutes are there between 5:02 AM and 4:33 PM?
691
What is 627 minutes before 12:59 PM?
2:32 AM
What is 610 minutes before 6:20 PM?
8:10 AM
How many minutes are there between 10:21 PM and 7:34 AM?
553
How many minutes are there between 4:46 AM and 2:51 PM?
605
How many minutes are there between 9:13 PM and 6:05 AM?
532
How many minutes are there between 4:24 PM and 3:57 AM?
693
How many minutes are there between 6:51 AM and 11:01 AM?
250
What is 560 minutes before 12:15 AM?
2:55 PM
How many minutes are there
|
{
"pile_set_name": "DM Mathematics"
}
|
ainder when u is divided by q?
15
Let q be (1 + -3 - -23)*-2. Let y = -25 - q. What is the remainder when 82 is divided by y?
14
Let m(o) = -27*o**2 + o. Let g be m(1). Let f = 53 + g. Calculate the remainder when f is divided by 0 + 2 + 9 + -1.
7
Let z(p) = -2*p + 9. What is the remainder when 67 is divided by z(-4)?
16
What is the remainder when 272/5 + 1/(-10)*4 is divided by 11?
10
Let i(p) = 4*p**2 - 5 - 4*p - p**2 - p**3 + 8. Let w be i(2). Let c = w + 11. What is the remainder when c is divided by 4?
2
Let l(i) = i + 7. Let k be l(-5). Suppose 0 = -2*w + 4*g + 10, -3*g - k = w + 2*g. What is the remainder when 4 is divided by w?
1
Let k(g) = -2*g**2 - 2*g + 2. Let z be k(-2). Suppose -2*p - n - 10 + 36 = 0, 0 = -2*n. Calculate the remainder when p is divided by (z + 0 - 3)*-1.
3
Suppose 0 = d - 5*q - 29, -q = -2*d - 0*q + 13. Let w be (d/(-6))/((-4)/1614). Suppose 0 = 4*o + 49 - w. Calculate the remainder when o is divided by 19.
17
Let l = -32 - -46. Suppose w + w = 54. Calculate the remainder when w is divided by l.
13
Suppose -4*w - 45 = -w. Let k(s) = s**2 + 15*s + 15. What is the remainder when k(w) is divided by 8?
7
Suppose 8*l = -5*l + 208. Calculate the remainder when 95 is divided by l.
15
Calculate the remainder when -1 + (-1 - -3) + 38 is divided by 10.
9
Let b be 3 - (3 + -1)/(-2). Suppose -4*j + 2*j + b = 0. What is the remainder when 3 is divided by j?
1
Suppose -t + 115 = -0*t. What is the remainder when t is divided by 29?
28
Suppose -3*c + 3*k + 45 = 0, c - 31 = 3*k + 2*k. Let y(u) = u - 2. Let l be y(4). Calculate the remainder when c is divided by ((-6)/(-8))/(l/16).
5
Let t be 1 + -1*(-8)/4. Suppose 50 = t*x - 43. What is the remainder when x is divided by 8?
7
Let g = 10 + 3. Suppose v - 2*n - g = -2*v, 2*v = n + 9. Suppose 16 = v*z - z. What is the remainder when 6 is divided by z?
2
Let c(b) = b**2 - 2*b + 19. Calculate the remainder when c(4) is divided by 8.
3
Let q = 15 - 7. Suppose -3*i + 4*f = -2*i - 41, -4*f - 104 = -4*i. What is the remainder when i is divided by q?
5
What is the remainder when 28 is divided by ((-45)/6 - -2)*-2?
6
Calculate the remainder when (30/(-12))/(1/(-6)) - -4 is divided by 7.
5
Let l(i) = 3*i**2 - i + 1. Suppose 3*b + 5 = 2*p, -3*p + 8 = 4*b - 2*p. Calculate the remainder when 2/(-7) + 46/14 is divided by l(b).
0
What is the remainder when 1 - (-1066)/10 - (-12)/30 is divided by 16?
12
Let a = -4 - -43. Calculate the remainder when 152 is divided by a.
35
Let q = 0 + 1. What is the remainder when 5/6*(-252)/(-6) is divided by 9/((2/4)/q)?
17
Let z be 1/(4 + (-35)/9). Suppose -z*u = -u - 24. Suppose 0 = -2*r, -3*m = -5*r - 1 - 2. Calculate the remainder when u is divided by m.
0
Suppose -34 = -5*v - o, v - 3*o = 2*o - 14. Suppose 0 = v*k - 5*k - 13. What is the remainder when 27 is divided by 1*(0 - -1) + k?
13
Suppose 4*b + 9 = 2*b + a, -4*a + 22 = -b. Let z(j) = j**3 + 8*j**2 - 12*j - 5. What is the remainder when z(-9) is divided by (-1)/b + (-30)/(-4)?
6
Let a = 6 - -3. Suppose 2*m - a = -w, 5*m - 4*m - 8 = -4*w. What is the remainder when 6 is divided by m?
2
Suppose -i + 0*i = 4*a - 79, a + 4*i = 16. Let v(j) = j**3 + 5*j**2 - 3*j - 4. What is the remainder when a is divided by v(-5)?
9
Suppose o + 0*u + 2*u - 33 = 0, 4*o = -4*u + 140. What is the remainder when 68 is divided by o?
31
Suppose 0 = 6*s - 2*s - 16. Suppose -14 = -2*v - 4*z, 0*v + s*z + 31 = v. What is the remainder when v is divided by 4?
3
Suppose 2*g - 30 = -5*x, 3*g + 10 - 28 = -3*x. Suppose c = -5*q - 15 + 51, x = c - q. Let n = -6 - -12. Calculate the remainder when c is divided by n.
5
Let l = -1 - -3. Suppose -d - l = 0, 0 = -8*a + 3*a - 2*d + 16. Suppose -68 = -5*k + y, a*k + 2*y + 1 = 47. Calculate the remainder when k is divided by 8.
5
Let o = -271 - -287. Suppose 5*z = 2*u - 95, 6*u = 3*u - 2*z + 133. Calculate the remainder when u is divided by o.
13
Let l(w) = 6*w - 4. Let b = 4 + -1. Suppose 4*h = b*h + 17. What is the remainder when l(6) is divided by h?
15
Suppose 4*k = 280 + 56. Suppose 4*y - 4*w = y + 47, w = 5*y - k. Let v = 4 + y. What is the remainder when v is divided by 11?
10
Let f be 1530/8 + (-18)/72. Let p = f + -89. What is the remainder when p is divided by 35?
32
Let q(r) = r**3 + 4*r**2 - 5*r - 6. Suppose -5*k - 20 = -0*k. Suppose -4*h = 0, -3*v = -h + 5*h - 78. Calculate the remainder when v is divided by q(k).
12
Let l be (-6)/(-2)*(-2)/3. Let x = l - -4. Suppose -30 = -4*v - 5*j, -18 = -4*v - 0*j + j. What is the remainder when v is divided by x?
1
Let r(w) = -2*w - 6. Let z be r(-7). Let i(c) = c. Let y be i(z). Suppose y = 5*t - 7. What is the remainder when 5 is divided by t?
2
What is the remainder when (-35)/2*(-60)/21 is divided by 17?
16
Suppose 0 = -i + 4*i + 9. Let k be 74/i + (-2)/(-3). What is the remainder when (-5 - k)*(2 - 1) is divided by 11?
8
Suppose 5*h - 95 = -4*u, 2*h - 99 = -4*u + h. Suppose 5*c + 5*m - 50 = 0, c + 3*c = -m + u. Calculate the remainder when c is divided by -2 - -3 - (-4)/2.
2
Suppose 5*i + 25 - 215 = 0. Suppose 2*r + 17
|
{
"pile_set_name": "DM Mathematics"
}
|
ivative of t**3 + 4. What is i(j(s))?
27*s**4
Suppose 5*u + 2*i = 7, 4*i - 2*i = -4*u + 6. Let c(o) = o + 2. Let z(k) = 8*k + 24. Let d(x) = u*z(x) - 12*c(x). Let b(s) = -2*s**2 - 20*s. Give d(b(n)).
8*n**2 + 80*n
Let l(w) = w - 35. Let r(y) be the second derivative of 3*y**4/4 - 23*y. Calculate l(r(v)).
9*v**2 - 35
Let n(j) = 15*j. Let u(a) = -34*a**2 + 14*a + 5. Let h(s) = 16*s**2 - 8*s - 3. Let i(p) = 7*h(p) + 4*u(p). What is i(n(k))?
-5400*k**2 - 1
Let p(z) = -1. Let q(d) = d + 2. Let y(a) = 2*p(a) + q(a). Let g(x) be the third derivative of -41/24*x**4 + 0*x**3 + 3*x**2 + 0 + 0*x. Calculate y(g(c)).
-41*c
Let s(o) = -o - 7. Let t(i) = -8*i - 42. Let m(h) = 6*s(h) - t(h). Let z(x) = 5*x**2 - 4. What is z(m(c))?
20*c**2 - 4
Let l(x) = -2*x - 51. Let h(k) = -2 + 3 - 2*k + 155*k**2 - 154*k**2. Let y(z) = 5*z**2 - 6*z + 3. Let c(q) = 3*h(q) - y(q). Calculate c(l(m)).
-8*m**2 - 408*m - 5202
Let z(l) = 3795*l**2. Let j(w) = -62449*w**2. What is j(z(p))?
-899392059225*p**4
Let w = 36 + -32. Let h(z) = 6*z - 5*z + w*z. Let s(v) = -2*v. Give s(h(k)).
-10*k
Let p(o) = 0*o**2 - 2*o**2 + 0*o**2. Let u(m) = m**2 + m. Let x = -418 - -411. Let z(c) = -c**2 - c. Let s(t) = x*z(t) - 5*u(t). Calculate p(s(y)).
-8*y**4 - 16*y**3 - 8*y**2
Let r(l) = -559693*l. Let j(c) = -26*c - 3. Determine j(r(i)).
14552018*i - 3
Let i(r) = 27638559*r**2. Let n(c) = -10*c**2. Determine i(n(g)).
2763855900*g**4
Let s(n) be the second derivative of 10*n**3/3 + 26*n**2 + 6221*n. Let x(j) = 2*j**2. What is x(s(o))?
800*o**2 + 4160*o + 5408
Let y(a) = -104161120*a. Let f(j) = 3*j**2. Determine f(y(w)).
32548616758963200*w**2
Let n(o) = 49*o + 44*o + 36*o + 41*o - 216*o + 47*o. Let w(g) = g**2 - 109*g + 3*g**2 - 2*g**2. What is w(n(c))?
2*c**2 - 109*c
Let m(t) = -7*t**2 - 4*t - 8. Suppose 0 = -2*y + 38 - 30. Let s(l) = 15*l**2 + 7*l + 14. Let k(g) = y*s(g) + 7*m(g). Let c(h) = 5*h. What is k(c(a))?
275*a**2
Let n(a) = 167*a**2 + 90*a**2 - 31*a**2 - 22*a**2 + 38*a**2. Let c(h) = -27*h**2 + 52*h**2 - 26*h**2. What is c(n(p))?
-58564*p**4
Let v(t) = -5*t + 6*t + t. Let w(b) = 36*b - 13*b + 19*b - 20*b + 11*b + 34*b. Give v(w(r)).
134*r
Let t(c) = -c**2. Let w(f) be the first derivative of -9*f**5/8 + 2*f**3/3 - 19*f + 249. Let s(v) be the third derivative of w(v). Determine s(t(i)).
135*i**2
Let n(v) be the second derivative of v**3/6 + v. Let t(z) = -3*z - 3*z + 0 + 4 - 5*z + 9*z. Determine n(t(o)).
-2*o + 4
Let s(u) be the first derivative of 2*u**3 + 1151. Let y(z) = -54*z. Determine y(s(j)).
-324*j**2
Let n(k) = 9*k**2. Let d(j) = 1942 - 939 + 202*j**2 - 1003. Give n(d(f)).
367236*f**4
Let h(n) = 19*n - 111. Let l(c) = 9032*c. What is h(l(k))?
171608*k - 111
Let t(s) = s**2. Let c(o) = 31720*o + 104. Let a(v) = 23790*v + 80. Let g(x) = -13*a(x) + 10*c(x). What is t(g(r))?
62884900*r**2
Suppose -3*g - 6 = -9. Let v(k) = -k - 1. Let s be 2*(79/(-2) + 2). Let z(c) = -45*c - 75. Let y(m) = g*z(m) + s*v(m). Let o(i) = -2*i. Give y(o(x)).
-60*x
Suppose 4*y = 2*c - 4*c + 22, y - 5 = 0. Suppose w - 13 = -c. Let n(z) = -1421 - w*z + 1421. Let p(l) = 3*l**2. Give p(n(t)).
432*t**2
Let u(s) = -11*s**2 + 1092*s - 9. Let f(h) = -h**2 - 273*h + 1. Let j(w) = 4*f(w) + u(w). Let o(c) = -3*c + 0*c + 5*c. What is j(o(t))?
-60*t**2 - 5
Let w(s) = -12*s**2. Let g(n) be the second derivative of 0 - 5/12*n**4 + 126*n + 0*n**3 + 0*n**2. Calculate w(g(c)).
-300*c**4
Let k(b) = -14*b. Let n(s) = 5*s**2 + 3*s. Let h = -30 - -27. Let u(a) = 5*a**2 + 4*a. Let d(f) = h*u(f) + 4*n(f). Give k(d(y)).
-70*y**2
Let d(s) be the first derivative of -9*s**3/2 + 34*s + 56. Let w(n) be the first derivative of d(n). Let a(t) = 2*t. Determine a(w(c)).
-54*c
Let g(j) = -248*j**2 - 299*j**2 - 526*j**2. Let a(r)
|
{
"pile_set_name": "DM Mathematics"
}
|
is the second biggest value? (a) 119/47 (b) 5 (c) 131
b
Which is the second biggest value? (a) -682 (b) 265 (c) -0.1
c
What is the fourth biggest value in -2.509, -2, -0.4, -2/7?
-2.509
What is the third biggest value in 0.119, 3, -137/5?
-137/5
Which is the biggest value? (a) 6 (b) -1 (c) 3 (d) -5700 (e) -0.4
a
Which is the biggest value? (a) -0.01 (b) 2.67 (c) -8 (d) 3
d
What is the second biggest value in 4, -11, -339?
-11
Which is the third biggest value? (a) 16.4 (b) 3 (c) 11 (d) -1/5 (e) -1
b
What is the fourth biggest value in 1.5, -0.3, -817, -1, -0.5?
-1
Which is the biggest value? (a) 3/5 (b) 0.01 (c) 2 (d) -8 (e) -1/2
c
What is the second biggest value in 0.1, 698, 3/10, 4, -0.2?
4
What is the second biggest value in 7/23, 0.71, -3/7, -2/11, -0.3?
7/23
What is the smallest value in -6/25, -0.5, 3, -2/375, -3, -0.3?
-3
What is the third smallest value in -0.01, -0.3, -3/2, 3?
-0.01
What is the fourth biggest value in 0.1, -14, -0.4, -1, -393?
-14
What is the fourth smallest value in -4/3, 62, 0.2, -4.8, 4?
4
What is the fourth biggest value in 5, -6743, -5, 3?
-6743
What is the third smallest value in 1/4, -0.1, 1/5, 0.3, 22?
1/4
What is the fifth biggest value in -4/9, -3, -0.05, -505, -0.3?
-505
What is the second biggest value in -0.7, -1/519, -4?
-0.7
Which is the biggest value? (a) -60/13 (b) -163 (c) 1/3
c
Which is the fifth smallest value? (a) 3/16 (b) 0.3 (c) -1 (d) 11 (e) 2/23
d
Which is the fifth smallest value? (a) -0.03 (b) -3 (c) -159 (d) 0.4 (e) -2
d
What is the third smallest value in -1/4, 22, 23958?
23958
Which is the third biggest value? (a) 4 (b) -1 (c) -1.33 (d) 5 (e) -3 (f) -6.6
b
Which is the biggest value? (a) 0.32 (b) 5 (c) -0.169063
b
What is the third smallest value in -5, 390, 50, -0.02?
50
What is the biggest value in 0.2, 2/37, 391?
391
Which is the fifth biggest value? (a) -27/8 (b) -0.4 (c) -0.1 (d) -3/8 (e) -56
e
What is the second biggest value in -5/3, -2/29, -404?
-5/3
Which is the smallest value? (a) 325 (b) -5 (c) 2 (d) -13.5 (e) -3
d
Which is the biggest value? (a) -0.5 (b) 4.63 (c) -2/5 (d) -3 (e) -4/5
b
What is the fourth biggest value in 5, 69, -0.8, -0.5, -5?
-0.8
What is the smallest value in -14, -51, 0.7, -0.2, 0?
-51
What is the third biggest value in 13, 8.9, -1, 0.4?
0.4
What is the fourth smallest value in -4, -7, -3/4, 1566?
1566
What is the fourth biggest value in 205, 4/3, -0.2, 36/7?
-0.2
What is the second smallest value in -1/5, -1752, -1/3, 2?
-1/3
What is the fifth smallest value in -2/3, -2/79, -4, -482, 2/7?
2/7
Which is the second biggest value? (a) -0.453 (b) -2/43 (c) 4/11
b
What is the third smallest value in 2/7, 0.5, -4/29443, -0.5?
2/7
Which is the fifth biggest value? (a) 3 (b) -1.1 (c) 2 (d) -2 (e) -34
e
What is the second smallest value in 4, 3/2, 2.72819?
2.72819
Which is the fifth smallest value? (a) -0.022 (b) 14 (c) -5 (d) 5 (e) 0.4
b
Which is the second smallest value? (a) -2.6 (b) 4 (c) -422/7 (d) 0.3
a
Which is the smallest value? (a) -0.3 (b) -8 (c) 6090
b
Which is the fifth biggest value? (a) 2/9 (b) -1/2 (c) -14.1 (d) 2 (e) -0.03
c
What is the fifth biggest value in 2/3, -1638, 0, -6, 4?
-1638
What is the second biggest value in -2, -2/19, -1/41, 17/42?
-1/41
Which is the smallest value? (a) 189 (b) -243 (c) 4/7
b
Which is the third smallest value? (a) 8 (b) 2/5 (c) 0.19 (d) -3/8
b
Which is the third smallest value? (a) -283 (b) -2/3 (c) 14 (d) 5
d
What is the fourth biggest value in 1, 4, 58, 5/2?
1
Which is the biggest value? (a) -1841 (b) 3 (c) 8
c
Which is the third biggest value? (a) 4 (b) 1/6 (c) 10/7 (d) -0.08 (e) -0.5
b
Which is the fourth biggest value? (a) -2/59 (b) -2/5 (c) 0.9 (d) -3/5
d
What is the second biggest value in -10395, -0.4, 2?
-0.4
Which is the fourth smallest value? (a) -3 (b) 49.8 (c) 3/4 (d) 48
b
What is the fourth smallest value in -2/3, 1/2, 1.18, -6/5?
1.18
Which is the third smallest value? (a) -0.4 (b) -2/3 (c) 5 (d) -8 (e) -2/15
a
Which is the second biggest value? (a) -5/9 (b) 0.5 (c) 3 (d) -660 (e) -0.2
b
What is the second biggest value in 3/1964, -0.2, -2/9, 0.3?
3/1964
Which is the sixth biggest value? (a) 0 (b) -2/79 (c) 4 (d) 4.21 (e) -3/5 (f) 1
|
{
"pile_set_name": "DM Mathematics"
}
|
for k.
-4
Suppose -649 + 281 = -16*t. Solve -9*y - 22 = t for y.
-5
Let v(z) = z**3 + 10*z**2 - 27*z - 32. Let p be v(-12). Solve p*q = -9*q - 0*q for q.
0
Suppose 2*x + 3*v - 5*v = 14, -4*x - v = -3. Suppose -n + 0*n = 0. Let l = x + n. Solve -4*j = -l*j for j.
0
Suppose 3*f - 57 = -3*g, 2*f = 2*g + g - 82. Let t be (-3)/(-2)*32/g. Suppose -1 = -t*u - a + 4*a, -2*u + 3 = -a. Solve 0 = h - 1 - u for h.
3
Let d = -431 - -434. Solve 2*p = d*p - 2*p for p.
0
Let x(m) = -16*m - 1 + 14*m + 26 - 4. Let z be x(8). Solve 9 = -z*f - 6 for f.
-3
Let x(h) = -5*h - 19. Let w be (-2)/12 - 123/36*2. Let y be x(w). Solve -5*i + y = -4 for i.
4
Let x(r) = 4*r + 2 - 6*r + 4*r. Let o be x(-1). Solve o*p + 4*p - 8 = 0 for p.
2
Suppose 0 = 3*s + 2*s - 20. Let j be (14/(-4) + s)*6. Solve -20 = j*x - 7*x for x.
5
Suppose 0 = -2*w - l - 2*l + 12, -3*w + 15 = 3*l. Suppose 4*v + 5*b + 13 = 0, -w*b = v - 4*v + 24. Solve -d + 1 = -v for d.
4
Let p(r) = r**3 + 8*r**2 - 10*r - 5. Let l be p(-9). Let g = -10 - -12. Solve l + 0 = -g*s for s.
-2
Suppose -2*r = -173 - 137. Let q be 6/10 + 217/r. Solve q*l - 9 = 1 for l.
5
Let i(w) = 2*w**2 + 25*w - 6. Let h be i(-13). Solve h*j + 9 = 4*j for j.
-3
Suppose 15 + 35 = 5*y. Let f(b) = 11*b - 5 - b**2 - 6 + 4. Let r be f(y). Solve 0 = 2*l - r + 7 for l.
-2
Let m be 3 + (6 - 0) + -1. Let w = m + -11. Let a be (-9)/w + 54/3. Solve -1 + a = 5*f for f.
4
Let s be (-6)/(-63) + (-1070)/210. Let q(n) be the third derivative of -n**6/120 - n**5/12 + n**3/2 + n**2. Let c be q(s). Solve -c*z + 21 - 6 = 0 for z.
5
Suppose 4*c - 48 = -12. Suppose -c - 31 = -5*s. Let o = 8 - s. Solve 4*q + o*q = 0 for q.
0
Let v(t) = -t**3 + 20*t**2 + 15. Let i be v(20). Let u be -2*(-4 - i/(-6)). Solve -u*h + 4*h = -2 for h.
-2
Let g be 3/(-2)*(-24)/9. Let z be (-2 - 0)*(-6)/4. Suppose z*n - n = 26. Solve 0 = g*r + 3 + n for r.
-4
Let a(t) = t**2 + 19*t + 40. Let o be a(-17). Suppose -m = -2*c, o*c - 44 = -4*m + 3*c. Solve 4*z = m*z for z.
0
Suppose 4*p - 5*r - 20 - 3 = 0, 0 = 3*p + 4*r + 6. Suppose -7*s = -p*s + 30. Let z = s + 6. Solve z = 6*j - j for j.
0
Suppose 0 = -9*z + 223 + 74. Solve 0 = 5*c - 8 + z for c.
-5
Let q(c) = c**2 - 6*c - 4. Let w be q(6). Let l be w/10*(-70)/7. Suppose -2*n - n = 3*n. Solve n*j - 4 = -l*j for j.
1
Let u = 9 + -4. Let b = 1247 - 1237. Solve 0*d + u*d = -b for d.
-2
Let n(k) = -k**2 + k + 25. Let i be n(0). Let g = i + -21. Let t be g/18 + 10/(-45). Solve t = j + 3 for j.
-3
Let p be (-6 + 5)*(-2 - 19). Suppose 0 = -p*x + 23*x - 6. Solve -2*g = -x*g for g.
0
Let h(l) = -l**2 - 9*l + 13. Suppose 30 = -3*j + s, 4*s + s = -4*j - 40. Let q be h(j). Suppose -5*u = -6*u + q. Solve 2*o = u*o for o.
0
Let f = 718 - 703. Solve -f*z = -6*z + 9 for z.
-1
Let d = -158 - -166. Solve -m + d - 11 = 0 for m.
-3
Suppose 196*p = 191*p + 30. Solve 2 = -4*a + p for a.
1
Let n = -513 + 516. Solve -4*q - n = -11 for q.
2
Suppose 161 = 7*x - 175. Solve -5*m = -x + 28 for m.
4
Let r be (-3)/(-2)*8*2. Suppose 4*c - 2*m = -7*m - 3, 5*m = 3*c - r. Let t = 137 - 135. Solve -c*z = -t*z + 4 for z.
-4
Let w = -5 - 1. Let b be (-1)/(4/12) - w. Suppose -15 = -b*k - 2*k. Solve k + 12 = 3*a for a.
5
Let l = -182 + 215. Solve -l + 29 = 4*r for r.
-1
Let w be (0 - -1)*0 - (-1 - 4). Suppose -2*s - w*f = 25, 0*f = 2*f + 10. Let l(g) = -g**2 + 6*g + 3. Let a be l(6). Solve a*c - c - 8 = s for c.
4
Suppose -2129*h - 105 = -2136*h. Solve -h = -2*n - 23 for n.
-4
Let m = 44 + -44. Suppose y + 24 = 5*y. Solve m*s = -2*s - y for s.
-3
Suppose 7*z + 872 + 283 = 0. Let i = z - -171. Solve i = t + t for t.
3
Let c be -1 + (39 - 29 - (6 + -1)). Solve c*p + 3 = -1 for p.
-1
Suppose 48 = 2*t - 4*f, 20 = -5*f - 5. Solve 4 = -5*m + t for m.
2
Let f be (0/6 + 2)*1. Let l = 10 + -5. Solve 6 = -l*y + f*y for y.
-2
Suppose x + 2*y = 4, 3*x - x - 2 = 2*y. Suppose 4*w = 3*n - 16, 3*n = -2*n - x*w + 18. Solve 0 = -n*p + p - 15 for p.
-5
Suppose 22 = v + 4*z, 0 = v + 2*z + 3*z - 27. Suppose -6 = -v*y - 0*y. Solve 0 = -2*f + 7 + y for f.
5
Suppose 18*p - 15*p - 33 = 0. Suppose 6*r
|
{
"pile_set_name": "DM Mathematics"
}
|
igit of r?
6
Let u(m) = 14*m + 11. Let w be u(-5). Let p = -2 - w. Let l = p + 21. What is the tens digit of l?
7
What is the units digit of (-28)/(-210) + 677096/30 + -2?
8
Suppose -66*a + 68*a = 1316. What is the hundreds digit of a?
6
Let g(l) = -4*l**2 + 2*l - 48. Let c be g(-7). Let h = 1314 + c. What is the thousands digit of h?
1
Suppose -5*d - 2*l + 36148 = 0, -5*d + 0*d + 36153 = -3*l. Suppose -d - 9503 = -29*a. What is the units digit of a?
7
Let g be (10 - 4 - 7)*-5. Suppose g*l + 5 = -0*l, c - 1173 = -2*l. What is the units digit of c?
5
Let c = -7938 + 14262. What is the thousands digit of c?
6
Suppose 3*c - 17 = -y - 1, c = -2*y + 7. Suppose 3*x - y = -p, -p + 2 = -2*x + 1. Suppose -w + 2*w - 114 = x. What is the units digit of w?
4
What is the hundreds digit of (4798008/(-48))/(-3) - (-3)/(-2)?
3
Let r = 291 - -4794. What is the hundreds digit of r?
0
Suppose -3*d = n - 67143, -5*n = d + d - 44736. What is the tens digit of d?
8
Let z = -3982 - -9542. What is the tens digit of z?
6
What is the thousands digit of ((9501/(-2))/(5/(-10)))/((-15)/(-20))?
2
Let c(j) = 4*j - 24. Suppose 5 = -2*y + 17. Let o be c(y). What is the tens digit of (2 - -1) + (o - (-156)/2)?
8
Let d be (2/(-1))/((-4)/(-14)). Suppose 37*l - 5*v = 40*l - 105, -2*l - 4*v + 70 = 0. Let m = l + d. What is the units digit of m?
8
Let l(f) = f**3 - 103*f**2 + 81*f - 269. What is the units digit of l(103)?
4
Suppose -7*p = -2*p + 1035. Let c(f) = -5*f**2 - 34*f - 147. Let h be c(-6). Let q = h - p. What is the tens digit of q?
8
Let p(w) = -w - 8. Let b be p(-13). Suppose -5 = k + 3*z, 2*k + 7 + 0 = -b*z. Suppose -170 = -t + 4*n, 2*n + 6 + k = 0. What is the units digit of t?
0
Let a = -89 - -283. Let l = a + 8. What is the tens digit of l?
0
Let r = 53419 - 28922. What is the units digit of r?
7
Let o(z) = z - 1. Let d be o(5). Let q be 6/(-4)*(39 - 41). Suppose -3*t - 48 - 513 = -2*a, -d*a + q*t = -1113. What is the hundreds digit of a?
2
Let i = 48309 - 2165. What is the thousands digit of i?
6
What is the ten thousands digit of -4*28*((-666)/2 - 132/(-66))?
3
Let x(z) = -z**3 - 2*z**2 - 6*z + 2. Let m be x(0). Suppose -2*d = 9*b - 5*b - 532, -m*b + 266 = -2*d. What is the tens digit of b?
3
Suppose 0 = 18*k + 1442 + 628. Let i = 439 + k. What is the hundreds digit of i?
3
Let m(t) = 74*t + 161. Let j be m(-18). Let c = 558 - j. What is the tens digit of c?
2
Suppose 637392 = 1411*s - 1363*s. What is the hundreds digit of s?
2
Let a = 222 - 273. Let u = -187 - -109. Let f = a - u. What is the tens digit of f?
2
Let h(v) = -12*v. Let f be h(0). Suppose -4*q + 1269 + 911 = f. What is the tens digit of q?
4
Let r(d) = -d**3 - 59*d**2 - 5*d - 1043. What is the thousands digit of r(-71)?
9
Let s = -967 - -1106. What is the units digit of s?
9
Let d(z) = 38*z - 180. Let l be d(5). Suppose 1662 + 798 = l*c. What is the tens digit of c?
4
Let a(u) = -u**3 - u**2 - 3*u - 17. Let d be a(-5). Suppose 0 = 3*w + 4*i - d - 928, -1736 = -5*w + 2*i. Let n = w - 198. What is the tens digit of n?
4
Let k(a) = -1272*a - 4793. What is the tens digit of k(-27)?
5
Suppose -68*d - 8*d + 42217 + 6651 = 0. What is the tens digit of d?
4
Let h = -392 + 44. Let x = -258 - h. What is the units digit of x?
0
Suppose -4*q = -3*f - 79, 4 = f + 1. Suppose 2*p = -q*p + 26760. What is the units digit of p?
5
Suppose -35*q - 1581 = -38*q. Suppose -108*f - q = -109*f. What is the hundreds digit of f?
5
Let p = 292 - 294. What is the thousands digit of (-32)/8 - (p - 1179)?
1
Let b(v) be the first derivative of v**3/3 + v**2 + 5*v + 10. Let q be b(-2). Suppose 3*z + q*d = 317 + 157, -5*z = 3*d - 806. What is the hundreds digit of z?
1
Suppose -4575 = -5*c + u, 12*u - 17*u - 25 = 0. What is the tens digit of c*(-6 + (-26)/(-4))?
5
Let f(o) = 17*o**2 - 364*o + 19. What is the units digit of f(65)?
4
What is the thousands digit of 86/(30706/(-7683) - -4)?
5
Let g(l) = -6*l + 7. Let h be g(-7). Suppose -53*v = -184*v + 56330. Suppose v = h*k - 47*k. What is the tens digit of k?
1
Let l = 107408 + -34524. What is the ten thousands digit of l?
7
Let j = -7 + 6. Let b be j + -5 + 3 - (-232 + 1). Suppose b = 2*f + 24. What is the units digit of f?
2
Let d = -1164 - -1323. What is the tens digit of d?
5
Let z(d) = d**3 + 21*d**2 + 21*d + 26. Let u be z(-20). Suppose 5*s - u = -11, 3*s = -w + 187. What is the tens digit of w?
9
Let z(q) = 2*q**2 - 16*q - 53. Let u be z(24). Let a = u + -450. What is the tens digit of a?
6
Suppose -5*p + 3*q + 760 = 55, 4*q = -4*p + 532. Suppose -3*o + 2*o + 4*c = -p, 0 = -5*o + 5*c + 750. Let l = 80 + o. What is the tens digit of l?
3
Suppose -7 = -5*n - 32. Let i be (-1*44)/(n + 11 + -5). Let m = -36 - i. What is the units digit of m?
8
Suppose 95092 = 16*j - 36476. What is the hundreds digit of j?
2
|
{
"pile_set_name": "DM Mathematics"
}
|
19*n**2 + 11*n + 16. Give o(-9).
-2
Let a(n) = -n**2 + 14*n + 143. What is a(20)?
23
Let c(i) = 65*i + 242. Give c(-7).
-213
Let s(o) = o**2 - 33*o - 279. Calculate s(-6).
-45
Let h(j) = 2*j**3 - 60*j**2 - 3*j + 89. What is h(30)?
-1
Let z(y) = 3*y + 57. Determine z(-27).
-24
Let y(o) = 4*o**2 - 177*o + 15. Give y(44).
-29
Let c(p) = -116*p - 1010. Give c(-9).
34
Let m(r) = -r**3 - 80*r**2 + 695*r - 792. Determine m(-88).
0
Let w(j) = j**3 - 9*j**2 + 40*j - 46. Determine w(11).
636
Let b(d) = 2*d**2. What is b(2)?
8
Let k(j) = 67*j - 901. What is k(14)?
37
Let i(s) = -s**2 - s + 198. Determine i(13).
16
Let m(r) = 2*r**3 + 122*r**2 - 7*r - 421. Calculate m(-61).
6
Let q(y) = 26*y**2 + 7*y - 5. Give q(3).
250
Let j(p) = p**3 - 20*p**2 - 14*p - 230. Give j(21).
-83
Let g(m) = -m**2 + 103*m + 36336. What is g(-146)?
-18
Let v(z) = -43*z + 647. Give v(19).
-170
Let z(u) = 45*u**3 + u**2 + 8*u + 9. What is z(-1)?
-43
Let i(p) = 3*p**2 + 5*p + 6. Give i(-1).
4
Let k(v) = 85*v - 422. Determine k(5).
3
Let z(v) = -79*v + 372. Give z(8).
-260
Let f(h) = h**3 - 30*h**2 + 149*h + 19. Determine f(7).
-65
Let g(d) = -d**2 + 112*d + 11759. Determine g(178).
11
Let c(b) = -56*b**2 - 23*b - 49. Determine c(-2).
-227
Let r(x) = -x**3 - 8*x**2 - 16*x - 26. What is r(-4)?
-26
Let k(u) = -2*u**2 - 11*u + 122. Give k(-11).
1
Let m(y) = 69*y**2 + 56*y + 19. Give m(-1).
32
Let d(g) = 73*g + 1677. What is d(-23)?
-2
Let b(u) = -6*u**3 - 482*u**2 - 163*u + 15. Calculate b(-80).
255
Let a(s) = 15*s + 31. Calculate a(6).
121
Let x(s) = 2*s**3 + 73*s**2 + 222*s + 67. Give x(-3).
4
Let j(g) = g**3 - 9*g**2 - 12*g - 32. Calculate j(11).
78
Let i(h) = -965*h + 4143. Give i(5).
-682
Let t(a) = -6*a - 201. Calculate t(-34).
3
Let f(u) = 24*u - 176. What is f(6)?
-32
Let s(a) = -a**2 - 16*a - 275. Determine s(-9).
-212
Let z(g) = 2*g**2 + 20*g - 351. Determine z(-21).
111
Let q(j) = -j**3 - 21*j**2 - 39*j - 456. Determine q(-20).
-76
Let i(a) = -a**3 - 10*a**2 - 12*a - 53. Give i(-8).
-85
Let r(o) = 616*o + 6162. Give r(-10).
2
Let g(x) = -x**2 - 50*x + 394. Calculate g(7).
-5
Let g(h) = 23512*h - 117564. What is g(5)?
-4
Let y(s) = s**2 - 45*s - 696. What is y(-13)?
58
Let y(m) = 59*m**2 + 319*m + 36. Give y(-6).
246
Let x(o) = o**3 + 51*o**2 + 86*o - 616. Give x(-49).
-28
Let p(r) = r**3 - 13*r**2 + 47*r. Give p(7).
35
Let b(o) = 36*o - 3781. Calculate b(105).
-1
Let h(f) = 7*f**2 + 446*f - 38. What is h(-64)?
90
Let u(x) = 5*x**3 + 583*x**2 - 235*x - 117. Determine u(-117).
0
Let y(w) = 10*w**2 - 77*w + 235. Give y(3).
94
Let z(w) = -4*w**2 + 21*w + 323. What is z(12)?
-1
Let g(d) = 3*d**2 - 15*d - 26. What is g(7)?
16
Let x(f) = f**2 + 101*f - 1473. Calculate x(13).
9
Let r(b) = -9*b**3 + 53*b**2 + 21*b - 97. Determine r(6).
-7
Let l(c) = -88*c + 1179. Calculate l(4).
827
Let x(r) = r**3 + 10*r**2 + 9*r + 85. Calculate x(-10).
-5
Let s(c) = -c**3 + 5*c**2 + 25*c - 2. Give s(-4).
42
Let l(p) = -6*p**3 - 63*p**2 + 36*p + 36. Give l(-11).
3
Let o(p) = -p**3 + 24*p**2 + 107*p + 136. What is o(28)?
-4
Let l(x) = x**3 - 22*x**2 + 87*x + 35. Give l(10).
-295
Let g(h) = -7*h**2 + 112*h - 12. Determine g(14).
184
Let b(a) = -a**3 - 46*a**2 + 44*a - 129. Give b(-47).
12
Let j(b) = 7*b + 172. Determine j(-35).
-73
Let u(d) = 234*d + 43063. Calculate u(-184).
7
Let x(r) = 49*r + 170. Give x(-4).
-26
Let h(b) = -1694*b + 50823. Determine h(30).
3
Let l(w) = -1634*w - 1683. Give l(-1).
-49
Let b(j) = -179*j - 4857. Determine b(-27).
-24
Let h(c) = 4*c**3 - 106*c**2 - 80*c + 692. What is h(27)?
-10
Let r(h) = h**2 - 37*h - 294. Calculate r(46).
120
Let w(c) = 14*c - 259. Calculate w(16).
-35
Let d(m) = -m**3 + 12*m**2 - 33*m - 17. Calculate d(15).
-1187
Let o(m) = -m**3 - 11*m**2 - 20*m + 34. Calculate o(-9).
52
Let s(d) = 13*d**3 - 88*d**2 - 13*d - 2. Give s(7).
54
Let s(f) = 2*f**2 + 179*f - 359. Give s(2).
7
Let u(y) = -25*y +
|
{
"pile_set_name": "DM Mathematics"
}
|
be the second derivative of x**5/20 - 7*x**4/12 + 5*x**3/6 + x**2 - 7*x - 72. Determine i(7).
37
Let q(u) = -u - 13. Suppose -1629 = -13*c + 685. Let d be (-6)/(-48) + c/(-16). Calculate q(d).
-2
Suppose -6*x + 232 = 184. Let h(v) = -6*v + 52. Give h(x).
4
Let c(m) be the third derivative of 1/120*m**6 + 0*m - 1/60*m**5 + 1/24*m**4 + 0 + 19/6*m**3 + 63*m**2. Calculate c(0).
19
Let r be (-28)/6*(-9504)/(-1848). Let k(y) = -y**3 - 24*y**2 - 1. What is k(r)?
-1
Let u(h) be the second derivative of 1/3*h**3 + 22*h + 1/12*h**4 + 3/2*h**2 + 0. Let l = -4 + 1. What is u(l)?
6
Let a(w) = -46*w - 1 + 7*w - w - 4*w - 18*w. Give a(1).
-63
Let m(k) = 3 + 41*k + 11*k + 9*k - 62*k - 2. Give m(-22).
23
Let x = 2932 + -2934. Let i(t) = 2*t**3 + 2*t**2 - t - 4. Calculate i(x).
-10
Let n(d) = d**3 + 3*d**2 - 11*d - 4. Suppose 27 = 3*f + 12, 0 = x + 2*f - 5. What is n(x)?
1
Let i(h) be the third derivative of h**6/120 - h**5/10 + h**4/8 - 3*h**3/2 + 2*h**2 + 207. What is i(6)?
9
Let f(z) = -z**2 + 2*z + 3. Suppose -4*p = -6*p - 4. Let r be f(p). Let m(d) be the first derivative of d**3/3 + 2*d**2 - 5*d - 999. Determine m(r).
0
Let x(j) = -3*j - 10. Let f be (-1 - 3) + 23 + -17. Let t(v) = -v - 1. Let z(g) = f*t(g) - x(g). What is z(-10)?
-2
Let s = 37753 - 37756. Let x(g) = -4*g**3 + g**2 + 2*g - 3. Give x(s).
108
Let l(a) = 5*a - 6732 + 6725 + 0*a**2 + 6*a**2. Calculate l(2).
27
Let f(w) be the second derivative of -w**3/3 + 3*w**2 + 2*w. Let c(o) = o**3 - 5*o**2 - 3*o - 13. Let z be c(6). Let y be (-7 + z)*(-5 - -3). Give f(y).
-2
Let f(h) = -h**2 - 2*h + 3. Let y(p) = p**2 - 13*p + 36. Let c be y(5). Let o be (-6 - c - -1) + -4 + -1. Determine f(o).
-21
Suppose 3*r - d = d + 12, d + 11 = 4*r. Let v(n) = -6*n**2 - 13*n**2 - 5*n**2 - 2*n - 24*n**2 + 1 + 50*n**2. Calculate v(r).
5
Let i(k) = 22*k**3 + 5 - 59*k + 26*k + 24*k + 11*k**2 + 23*k**3 - 46*k**3. Suppose -4*n = 4*b - 5 - 27, 2*n = 3*b - 34. Give i(b).
15
Let q(k) be the third derivative of -k**4/24 - k**3/3 - 35*k**2. Let u be (0 + (-2)/4)*0. Suppose 0 = -5*d - h - 21, u*d - d + 2*h - 13 = 0. Give q(d).
3
Let s(m) = -12*m**2 + m**3 + 109*m - 50*m - 3 - 58*m. Determine s(12).
9
Let d(b) = -11*b**2 + 32*b - 62. Let a(o) = -2*o**2 - 1. Let k(h) = 5*a(h) - d(h). Give k(30).
-3
Let u(f) be the second derivative of 1/20*f**5 - 7/2*f**2 + 25 + 1/3*f**4 - 4/3*f**3 + 3*f. Give u(-5).
8
Suppose -65 = r - 108. Suppose 4*n + 2*q = 11 + r, -12 = -4*q. Let k(c) = -c**2 + 443*c - 443*c + n. Give k(0).
12
Let s be -3*1*(240/(-45) - -5). Let t(h) = h + 6*h + 6*h - 2*h**3 - s - 12*h. Give t(-2).
13
Let q(f) be the first derivative of -16*f**3/3 + 2*f**2 + 5*f - 890. Calculate q(-2).
-67
Let z(v) = v**3 - 2. Let r(g) = -2*g**3 - g - 1. Let p be r(-1). Let l be z(p). Let b(f) = -4 + 1 - l*f - 7*f + 11*f. Determine b(-4).
5
Let i(b) = -b**2 + 7*b + 5. Suppose -89*m - 51035 = -30*m. Let g = m - -869. Determine i(g).
17
Let f(n) = -3*n + 1. Let d(p) = -7*p + 4. Let r be (-405)/(-486) + (-2)/(-12). Let s(b) = r*d(b) - 2*f(b). Calculate s(-7).
9
Let i(b) be the first derivative of 13*b**2 + b - 1. Let t(k) = -20*k - 6*k**2 + 4*k**2 + 0*k**2 - 19 + 0*k**2. Let r be t(-9). Determine i(r).
-25
Suppose 14*g + 8*g - 66 = 0. Let c(p) = 0*p**3 - 3*p**g + 8 - 6 - 1. What is c(-1)?
4
Let q(j) = j**2 - 19*j + 67. Let u = -347 + 362. Let o be q(u). Let g(p) = -p + 7. What is g(o)?
0
Suppose -1089*z - 2*v = -1093*z + 6, -11 = -3*z + 2*v. Let t(r) be the second derivative of 2*r**3/3 + 3*r**2 - r. What is t(z)?
-14
Let m(i) be the first derivative of i**3/3 - 4*i**2 - 13*i - 1971. Determine m(7).
-20
Let u(g) = 8*g**2 + 8*g - 22*g**2 + 10*g + 15*g**2 + 17 - 6*g. Give u(-7).
-18
Let t(h) = -5*h - 22. Let z = -3708 - -3704. Give t(z).
-2
Let d(y) = 6*y + 19. Let a(g) = g**3 + 16*g**2 - 218*g - 3500. Let h be a(-15). What is d(h)?
-11
Let y(b) = 54*b + 70 + 98*b - 251*b + 106*b + 77. Calculate y(-27).
-42
Let a(n) = 122*n + 114*n + 117*n - 483*n - 1 + 122*n. Suppose 15 = 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
base 6) to base 4
-233
1010 (base 5) to base 12
aa
What is -6 (base 7) in base 2?
-110
What is 221 (base 4) in base 10?
41
What is -22 (base 14) in base 4?
-132
Convert 3 (base 9) to base 7.
3
-bc (base 13) to base 5
-1110
What is -1 (base 4) in base 9?
-1
Convert -6 (base 15) to base 6.
-10
-200 (base 3) to base 13
-15
Convert -17 (base 14) to base 11.
-1a
Convert 4 (base 13) to base 3.
11
What is -2 (base 12) in base 7?
-2
Convert -231 (base 12) to base 9.
-401
-444 (base 5) to base 4
-1330
297 (base 11) to base 6
1340
Convert -4 (base 13) to base 14.
-4
What is 1 (base 7) in base 9?
1
What is -15 (base 14) in base 7?
-25
5 (base 8) to base 6
5
What is 65 (base 16) in base 8?
145
-4 (base 16) to base 3
-11
Convert -4 (base 5) to base 7.
-4
What is 1 (base 6) in base 16?
1
What is -17 (base 9) in base 12?
-14
Convert -101100 (base 2) to base 6.
-112
3 (base 14) to base 7
3
-60 (base 9) to base 16
-36
What is -1 (base 11) in base 16?
-1
What is -1 (base 15) in base 6?
-1
Convert -5 (base 10) to base 13.
-5
What is -21 (base 15) in base 16?
-1f
Convert a (base 14) to base 3.
101
Convert 4 (base 6) to base 3.
11
2f (base 16) to base 11
43
Convert -3 (base 11) to base 8.
-3
11 (base 15) to base 11
15
What is 1 (base 4) in base 8?
1
0 (base 7) to base 12
0
25 (base 6) to base 11
16
Convert -d8 (base 14) to base 9.
-231
-112 (base 4) to base 10
-22
4 (base 9) to base 15
4
Convert 131 (base 4) to base 5.
104
Convert -101000 (base 2) to base 13.
-31
Convert 4 (base 6) to base 10.
4
What is 14 (base 10) in base 3?
112
Convert 46 (base 7) to base 3.
1021
Convert b (base 16) to base 15.
b
What is -10101 (base 2) in base 3?
-210
What is 1 (base 11) in base 16?
1
Convert -5 (base 8) to base 5.
-10
Convert -4 (base 12) to base 5.
-4
What is 6 (base 10) in base 16?
6
What is 54 (base 11) in base 15?
3e
-203 (base 4) to base 5
-120
Convert 146 (base 9) to base 6.
323
-2 (base 8) to base 7
-2
2 (base 6) to base 5
2
What is -12 (base 14) in base 6?
-24
-8 (base 13) to base 9
-8
Convert -6 (base 15) to base 9.
-6
What is 73 (base 11) in base 9?
88
Convert -5 (base 10) to base 2.
-101
What is 2 (base 14) in base 9?
2
302 (base 4) to base 15
35
Convert 48 (base 12) to base 14.
40
4 (base 16) to base 6
4
Convert -2013 (base 4) to base 15.
-90
Convert 11 (base 15) to base 13.
13
What is -13 (base 16) in base 2?
-10011
What is 5 (base 16) in base 9?
5
11 (base 8) to base 6
13
What is -26 (base 11) in base 10?
-28
Convert 1250 (base 6) to base 12.
226
What is 2c (base 16) in base 3?
1122
Convert -3 (base 5) to base 3.
-10
What is ad (base 14) in base 12?
109
1003 (base 4) to base 5
232
What is 37 (base 9) in base 10?
34
13 (base 6) to base 5
14
Convert 12 (base 3) to base 7.
5
2 (base 11) to base 14
2
Convert -10 (base 7) to base 3.
-21
Convert -31 (base 10) to base 11.
-29
Convert 5 (base 6) to base 7.
5
Convert -2 (base 3) to base 9.
-2
-3 (base 12) to base 3
-10
What is 3 (base 7) in base 11?
3
-10010 (base 2) to base 9
-20
What is -4 (base 12) in base 5?
-4
What is 1321 (base 5) in base 15?
e1
Convert 3 (base 7) to base 4.
3
What is -1055 (base 6) in base 9?
-308
What is -31 (base 15) in base 12?
-3a
What is -1 (base 8) in base 16?
-1
-12 (base 3) to base 9
-5
Convert -2 (base 5) to base 12.
-2
What is 2 (base 8) in base 12?
2
What is 8c (base 13) in base 2?
1110100
Convert -4 (base 10) to base 13.
-4
What is -54 (base 9) in base 4?
-301
Convert -20 (base 3) to base 12.
-6
-10 (base 15) to base 10
-15
45 (base 8) to base 7
52
What is 37 (base 14) in base 4?
301
Convert -14 (base 7) to base 13.
-b
Convert 2133 (base 4) to base 11.
135
What is -111 (base 2) in base 15?
-7
59 (base 11) to base 8
100
What is 113 (base 4) in base 9?
25
What is 212 (base 5) in base 3?
2010
-7 (base 11) to base 3
-21
What is 100 (base 5) in base 6?
41
What is -5 (base 8) in base 14?
-5
What is 2b (base 13) in base 6?
101
-2 (base 5) to base 13
-2
Convert -10 (base 8) to base 6.
-12
5b (base 14) to base 15
56
Convert 2 (base 16) to base 9.
2
Convert 101 (base 2) to base 12.
5
Convert -30 (base 15) to base 8.
-55
2 (base 3) to base 6
2
Convert 8 (base 15) to base 2.
1000
-75 (base 16) to base 13
-90
What is -5e (base 15) in base 3?
-10022
What is -111 (base 7) in base 15?
-3c
Convert 102 (base 7) to base 5.
201
Convert 6 (base 7) to base 11.
6
-8a (base 13) to base 12
-96
Convert 3 (base 5) to base 8.
3
123 (base 8) to base 4
1103
Convert 106 (base 7) to base 6.
131
-24 (base 10) to base 14
-1a
Convert -26 (base 13) to base 2.
-100000
What is -202 (base 3) in base 15?
-15
11 (base 4) to base 10
5
What is 350 (base 9) in base 13?
192
What is -4 (base 5) in base 15?
-4
-100220 (base 3) to base 14
-151
What is 1100 (base 3) in base 10?
36
-10 (base 3) to base 15
-3
-11 (base 5) to base 4
-12
2b (base 16) to base 3
1121
What is 1 (base 6) in base 12?
1
What is 3 (base 4) in base 9?
3
12 (base 3) to base 8
5
|
{
"pile_set_name": "DM Mathematics"
}
|
are root of 8369 to the nearest integer?
91
What is the cube root of 82749 to the nearest integer?
44
What is 118031 to the power of 1/2, to the nearest integer?
344
What is 28766 to the power of 1/2, to the nearest integer?
170
What is the seventh root of 19310 to the nearest integer?
4
What is the ninth root of 58152 to the nearest integer?
3
What is the square root of 102727 to the nearest integer?
321
What is 54043 to the power of 1/2, to the nearest integer?
232
What is the square root of 28426 to the nearest integer?
169
What is 2500 to the power of 1/9, to the nearest integer?
2
What is the cube root of 22282 to the nearest integer?
28
What is the square root of 114663 to the nearest integer?
339
What is 2264 to the power of 1/7, to the nearest integer?
3
What is the tenth root of 2978 to the nearest integer?
2
What is 1880 to the power of 1/3, to the nearest integer?
12
What is 4 to the power of 1/2, to the nearest integer?
2
What is the fourth root of 69253 to the nearest integer?
16
What is 106295 to the power of 1/3, to the nearest integer?
47
What is the cube root of 12766 to the nearest integer?
23
What is the third root of 555 to the nearest integer?
8
What is 9377 to the power of 1/9, to the nearest integer?
3
What is the cube root of 505 to the nearest integer?
8
What is the ninth root of 19110 to the nearest integer?
3
What is 6578 to the power of 1/3, to the nearest integer?
19
What is the square root of 14282 to the nearest integer?
120
What is the cube root of 32350 to the nearest integer?
32
What is 79382 to the power of 1/2, to the nearest integer?
282
What is 1199 to the power of 1/9, to the nearest integer?
2
What is 3055 to the power of 1/10, to the nearest integer?
2
What is the sixth root of 292 to the nearest integer?
3
What is 16671 to the power of 1/4, to the nearest integer?
11
What is 83601 to the power of 1/6, to the nearest integer?
7
What is the seventh root of 20021 to the nearest integer?
4
What is 75572 to the power of 1/2, to the nearest integer?
275
What is the fifth root of 10888 to the nearest integer?
6
What is 4494 to the power of 1/9, to the nearest integer?
3
What is 16663 to the power of 1/2, to the nearest integer?
129
What is 75237 to the power of 1/2, to the nearest integer?
274
What is 7213 to the power of 1/4, to the nearest integer?
9
What is 52126 to the power of 1/8, to the nearest integer?
4
What is the cube root of 261 to the nearest integer?
6
What is 6025 to the power of 1/2, to the nearest integer?
78
What is 20253 to the power of 1/4, to the nearest integer?
12
What is the square root of 62 to the nearest integer?
8
What is the square root of 10543 to the nearest integer?
103
What is the fifth root of 32960 to the nearest integer?
8
What is 3894 to the power of 1/10, to the nearest integer?
2
What is the cube root of 13774 to the nearest integer?
24
What is the square root of 1899 to the nearest integer?
44
What is 1359 to the power of 1/3, to the nearest integer?
11
What is the tenth root of 2237 to the nearest integer?
2
What is the eighth root of 27367 to the nearest integer?
4
What is 5114 to the power of 1/3, to the nearest integer?
17
What is 700 to the power of 1/10, to the nearest integer?
2
What is 10045 to the power of 1/4, to the nearest integer?
10
What is 978 to the power of 1/9, to the nearest integer?
2
What is the cube root of 2496 to the nearest integer?
14
What is 13619 to the power of 1/3, to the nearest integer?
24
What is 4095 to the power of 1/5, to the nearest integer?
5
What is 3423 to the power of 1/9, to the nearest integer?
2
What is the cube root of 4920 to the nearest integer?
17
What is 18810 to the power of 1/8, to the nearest integer?
3
What is 847 to the power of 1/3, to the nearest integer?
9
What is 5445 to the power of 1/2, to the nearest integer?
74
What is the third root of 1929 to the nearest integer?
12
What is 60143 to the power of 1/2, to the nearest integer?
245
What is the third root of 10255 to the nearest integer?
22
What is the third root of 1680 to the nearest integer?
12
What is the third root of 1123 to the nearest integer?
10
What is the eighth root of 39732 to the nearest integer?
4
What is 32662 to the power of 1/2, to the nearest integer?
181
What is the third root of 10239 to the nearest integer?
22
What is 11834 to the power of 1/2, to the nearest integer?
109
What is the third root of 586 to the nearest integer?
8
What is the square root of 19032 to the nearest integer?
138
What is the cube root of 1926 to the nearest integer?
12
What is the ninth root of 84027 to the nearest integer?
4
What is the seventh root of 3398 to the nearest integer?
3
What is the square root of 3249 to the nearest integer?
57
What is the square root of 17768 to the nearest integer?
133
What is the ninth root of 480 to the nearest integer?
2
What is the square root of 96623 to the nearest integer?
311
What is 11252 to the power of 1/2, to the nearest integer?
106
What is the eighth root of 139144 to the nearest integer?
4
What is the square root of 13149 to the nearest integer?
115
What is the ninth root of 36797 to the nearest integer?
3
What is the third root of 20689 to the nearest integer?
27
What is 24082 to the power of 1/6, to the nearest integer?
5
What is 765 to the power of 1/7, to the nearest integer?
3
What is 104938 to the power of 1/2, to the nearest integer?
324
What is the square root of 2676 to the nearest integer?
52
What is the fourth root of 2558 to the nearest integer?
7
What is 3080 to the power of 1/10, to the nearest integer?
2
What is the third root of 17585 to the nearest integer?
26
What is 10102 to the power of 1/8, to the nearest integer?
3
What is the eighth root of 862 to the nearest integer?
2
What is 784 to the power of 1/2, to the nearest integer?
28
What is the square root of 74481 to the nearest integer?
273
What is the square root of 13415 to the nearest integer?
116
What is 365 to the power of 1/2, to the nearest integer?
19
What is the square root of 557 to the nearest integer?
24
What is the square root of 22067 to the nearest integer?
149
What is 1155 to the power of 1/2, to the nearest integer?
34
What is 325 to the power of 1/6, to the nearest integer?
3
What is the cube root of 13218 to the nearest integer?
24
What is the third root of 611 to the nearest integer?
8
What is the third root of 51390 to the nearest integer?
37
What is the square root of 14221 to the nearest integer?
119
What is the cube root of 146298 to the nearest integer?
53
What is 484 to the power of 1/3, to the nearest integer?
8
What is the fourth root of 148511 to the nearest integer?
20
What is the third root of 126930 to the nearest integer?
50
What is the seventh root of 14244 to the nearest integer?
4
What is 1980 to the power of 1/6, to the nearest integer?
4
What is the third root of 12746 to the nearest integer?
23
What is the square root of 1762 to the nearest integer?
42
What is the tenth root
|
{
"pile_set_name": "DM Mathematics"
}
|
the second derivative of -4*p**2*u**2 + 48*p**2*u*w**2 - p**2*u + 7*p*u**2*w + 2*p*w + 2*u**2*w + 2*u*w**2 wrt p?
-8*u**2 + 96*u*w**2 - 2*u
Find the third derivative of 167*o**5 + 276*o**2 - 2*o wrt o.
10020*o**2
Differentiate -79*u**3*w**4 + u**3 + 4*u**2*w**4 + 53*u**2 wrt w.
-316*u**3*w**3 + 16*u**2*w**3
Find the third derivative of -102*f*r**3 + f*r**2*u**2 + f*r**2 + f*r + 5*f*u**3 + 2*r**3*u**3 wrt r.
-612*f + 12*u**3
Find the second derivative of -o*u**4 + 2*o*u**3 + 1223*o*u**2 + 2*o*u - 6874*o wrt u.
-12*o*u**2 + 12*o*u + 2446*o
Differentiate 2*t**2 + 36*t - 2480.
4*t + 36
What is the derivative of 12*b**4 + 55*b**2 - 3*b - 8921 wrt b?
48*b**3 + 110*b - 3
Find the third derivative of 3*a**3*c**3*x**2 - 6*a**3*c**2*x**3 + a*c**2*x + 8*c**3*x**3 + 4*c**3 + c**2*x**3 wrt c.
18*a**3*x**2 + 48*x**3 + 24
What is the third derivative of 638*r**6 + 2*r**2 - 1025 wrt r?
76560*r**3
Find the second derivative of 3*o**3*w**3 - 108*o**3*w**2 + o*w**3 + 1352*o wrt o.
18*o*w**3 - 648*o*w**2
Find the second derivative of k*m*n**2 + k*m + 156*k*n**2 + 3*k - m*n**2 - 19*m + n wrt n.
2*k*m + 312*k - 2*m
Differentiate 3*k*y - 6*k - 109*y**2 + 3*y + 87 wrt y.
3*k - 218*y + 3
Differentiate 8*d**2*z**3 - 16*d**2*z - 771*z**3 - z with respect to d.
16*d*z**3 - 32*d*z
What is the second derivative of 18*o**3*p**2*z**2 - 2*o**3*z**2 + 4*o**2*p*z**2 - o**2*p - 13*o*p**5*z**2 - p wrt p?
36*o**3*z**2 - 260*o*p**3*z**2
Differentiate 8*h**2*w - 20*h**2 + h*w - 129*w wrt h.
16*h*w - 40*h + w
Find the second derivative of 410*d**5 - 1300*d.
8200*d**3
Find the third derivative of 122*b**5 - b**2 + 96 wrt b.
7320*b**2
What is the first derivative of 2*g**2*j**2 + 2*g**2*j + 2*g**2*x - 5*g*x + 3*j**2*x - 157*j**2 wrt x?
2*g**2 - 5*g + 3*j**2
What is the second derivative of 26*a**2*i**2 - 146*a*i**2 wrt a?
52*i**2
Find the third derivative of -93*g**4*l + g**2*l - 41*g*l wrt g.
-2232*g*l
Find the second derivative of -2*j**2*o**2*v**2 - 8*j**2*o**2 - 21*j**2*v - 15*j*v**2 + 59*o**2*v**2 + 6*o*v wrt v.
-4*j**2*o**2 - 30*j + 118*o**2
What is the second derivative of 5307*a**2*w**2*z + 4*a*w**2 - 71*a*w*z + w**2*z wrt a?
10614*w**2*z
What is the third derivative of -2*i**6*x - 76*i**5*x + 101*i**2*x + 2*x wrt i?
-240*i**3*x - 4560*i**2*x
Find the third derivative of 152*g**4 - 91*g**2.
3648*g
Find the third derivative of -5932*f**2*r**3 + 7*f**2*r**2 - 2*f*r**2 - 93*f*r wrt r.
-35592*f**2
Find the second derivative of -7263*z**5 + 1753*z wrt z.
-145260*z**3
What is the third derivative of -1056*a**5 + 202*a**2 + 7*a wrt a?
-63360*a**2
What is the third derivative of 192*i**3*n**3*t**3 - 6*i**3*n**3*t**2 - i**3*n**3 + 2*i**2*n**2*t**2 + 2*i*n*t**3 wrt t?
1152*i**3*n**3 + 12*i*n
What is the first derivative of 2*o**2*t*y - 7*o**2*y + o*t*y + 2*o + 95*t*y + 3*y + 1 wrt o?
4*o*t*y - 14*o*y + t*y + 2
What is the derivative of -128*h*r**3 + 326*r**3 wrt h?
-128*r**3
What is the second derivative of -110*g**3*j**2*k**2 + 116*g**3*j**2 + 13*g**2*j**2*k**2 - g**2*j*k - 9*g*j**2*k wrt k?
-220*g**3*j**2 + 26*g**2*j**2
Find the third derivative of f**4*n**3 + f**3*n**3 - 12*f**3 - 16*f**2*n - 2*n**3 - 4*n wrt f.
24*f*n**3 + 6*n**3 - 72
What is the first derivative of 4*d**3*p - 2*d**3 - 10*d**2*p**3 + 4*p**3 + 8*p wrt d?
12*d**2*p - 6*d**2 - 20*d*p**3
Find the first derivative of 3*f**2 - 118*f + 6586 wrt f.
6*f - 118
Find the third derivative of -2*v**6 + 95*v**3 - 556*v**2 wrt v.
-240*v**3 + 570
What is the second derivative of -3*c**2*d**2*g - 370*c**2*d*g - c**2*d + 179*c*d + 3*c*g + 2*c + 3*d**2*g - d**2 wrt c?
-6*d**2*g - 740*d*g - 2*d
Find the third derivative of -1993*x**5 - 2*x**2 - 1085.
-119580*x**2
What is the derivative of 35*l**3 + 242*l**2 + 12462?
105*l**2 + 484*l
Find the third derivative of 315*b**4 - 28*b**2 - 8*b.
7560*b
What is the third derivative of 8*h**5 - 10*h**4*w**3 + h**2*w**2 - 2*h**2*w - 130*w**3 wrt h?
480*h**2 - 240*h*w**3
Differentiate 235*n**4 - 446.
940*n**3
Find the third derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 3 - 1))*(4 + 1 + 2)*(-1 + 0 + 0) as p + x*v and give x.
7
Express -2*g + 18 + g**2 - 18 - 7*g**2 in the form k*g + c + l*g**2 and give k.
-2
Rearrange (-2*c - 2 + 2)*(2 - 5 + 0)*(-15*c**3 - 5*c**2 - c**2 + 7*c**2) to w + p*c + u*c**3 + m*c**2 + l*c**4 and give u.
6
Express -l**3 + l - l + 0*l**3 - l**3 + 2*l**3 + (l**2 - l**2 + l**3)*(1 - 2 + 4) in the form d*l**3 + w*l**2 + m + u*l and give d.
3
Express (3*w - w - 3*w)*(w**2 + 0*w + 0*w) - 10 + 10 - 2*w**3 + 7 - 7 + 9*w**3 as b*w**3 + g + p*w**2 + k*w and give b.
6
Rearrange (2*m - 3 + 3)*(0*m - 3*m + 5*m)*(-5*m**2 + m**2 - 9*m**2) to u*m**3 + a*m**2 + r + t*m + d*m**4 and give d.
-52
Express (0*p**2 - p**2 - 3*p**2)*(p**2 - 2*p**2 - 2*p**2) in the form s + t*p**3 + n*p + k*p**2 + h*p**4 and give h.
12
Express -3*i**3 + 0*i**3 + i**3 + (-323 + 323 + 89*i**3)*(1 - 2 + 3) as u*i**3 + y*i + l*i**2 + o and give l.
0
Express -2*j - 1948 + 7*j**2 + 1948 as f*j + n + c*j**2 and give f.
-2
Rearrange 4*w**3 + w - 3*w**3 - 4*w**3 to the form v*w + l + d*w**3 + q*w**2 and give d.
-3
Express m**4 + 4*m**4 + m + 0*m**4 + 0*m**4 - m**3 in the form i*m**4 + b*m**2 + d*m + g*m**3 + h and give b.
0
Express -7*i - 10*i + 5*i in the form x + n*i and give x.
0
Rearrange -54*h - 116 - 40*h + 116 to the form j + w*h and give w.
-94
Express 4*z**2 + 16*z**4 - 3*z**2 + 10 - 14*z**4 - 3*z**3 - 7 in the form b*z**3 + q*z**4 + k*z + t + m*z**2 and give q.
2
Rearrange -24 + 10 + 4*t + 14 to c*t + k and give c.
4
Rearrange 5*y + 5*y - 9*y + 22*y**2 to the form i*y + f*y**2 + a and give i.
1
Rearrange 1 - 6 - u**3 - 2 to a*u**3 + q + r*u**2 + d*u and give q.
-7
Express (-3 + 1 + 0)*(g**4 - 3*g**4 - 4*g**4) - g**4 - 5*g**4 - 8*g**4 in the form z*g**3 + x + v*g + s*g**2 + j*g**4 and give j.
-2
Rearrange (-4*z**2 + 4*z**2 + z**2)*(-3*z**2 + 0*z**2 + 5*z**2) + 3*z**2 - 3*z**2 + 3*z**4 to the form l*z + d*z**3 + g*z**4 + i + x*z**2 and give g.
5
Express -4*l + 5*l + 2 - 2 as g + s*l and give g.
0
Rearrange -1 + 56*n - 9*n + 1 to the form u*n + k and give u.
47
Express 252*p + 157*p - 478*p as c + b*p and give b.
-69
Rearrange 5*j + 6 - 20 - 3*j**4 + 12 + 2*j**3 + j**4 to b*j + f + h*j**2 + v*j**3 + i*j**4 and give b.
5
Express (3*n**2 - 4*n**2 + 2*n**2)*(3*n + 6*n - 8*n - n**2) as g + t*n**2 + q*n**4 + z*n + a*n**3 and give a.
1
Rearrange (-3*c + 3*c + c**2)*(5 - 5 - 2*c) - 7 + 63*c**3 + 7 to g*c**3 + i + w*c**2 + j*c and give g.
61
Express (-3*k - 97*k**2 - 6 + 95*k**2 - 2*k)*(2*k - k + 2*k) in the form h*k**3 + x*k**2 + p + m*k and give x.
-15
Rearrange -b**3 + 2*b**2 + 5*b**3 - 2*b**3 to the form s*b + c*b**3 + n + r*b**2 and give s.
0
Express (1 - k + 2*k**3 - 5*k**2 + 5*k**2)*(6 - 13 + k + k) as n + d*k + s*k**3 + c*k**2 + l*k**4 and give l.
4
Express (4*w + 0*w - 2*w)*(-3*w + 3*w - 3*w) - 2*w**2 - 2*w**2 + 2*w**2 as n + o*w**2 + g*w and give o.
-8
Express -r**3 + r + 0*r**2 - r**2 - 2*r + 0*r**3 in the form s*r**3 + p + d*r**2 + u*r and give d.
-1
Express -2 + 56*r**2 - 88*r**2 + 2 in the form g*r**2 + c*r + l and give g.
-32
Rearrange -1 + 2*n**2 + 1 + 2*n**2 + 3*n**2 - 4*n**2 + (3*n + 3*n + 2*n)*(-n + 3*n - n) to q*n**2 + p*n + m and give q.
11
Rearrange z**2 + 4*z**2 + 9*z**2 to the form u*z**2 + x*z + p and give u.
14
Rearrange -3*p**3 + p**3 + p**2 + 2 + 0*p**4 - 2*p**4 - 2*p to u*p**2 + l*p + f + i*p**4 + n*p**3 and give u.
1
Express (-1 - 2 + 5)*(-320 - 544*y + 191*y + 320) as x*y + g and give x.
-706
Express (2*o**3 + o - o)*(2 + 5 - 6 - 5*o) in the form s*o**4 + v + x*o + h*o**3 + c*o**2 and give h.
2
Express 26 + 20 - 45 + 16*a**2 in the form i*a**2 + p*a + z and give z.
1
Rearrange -3*p**2 - 22*p**3 - 2*p**2 + 3*p**2 + p**3 + 2*p**3 + 0*p**3 + (-1 - 2*p**2 + 1)*(-2*p + 0 + 0) to the form j*p + u*p**3 + c*p**2 + a and give c.
-2
Rearrange 28*q**4 - 61*q**4 + 17*q**4 + (-q - 2*q + 4*q)*(2*q**3 + 1 - 1) to d*q**2 + p*q**4 + y + a*q + h*q**3
|
{
"pile_set_name": "DM Mathematics"
}
|
m(-2). Calculate the greatest common factor of b and s.
5
Let z(b) = -b**3 + 4*b**2 + 4*b + 7. Let d be z(5). Let q = d + 2. Calculate the highest common divisor of q and 12.
4
Let r be (-108 - 0)*(-5)/4. Suppose c + 12 = 2*c - 3*b, c - 4*b - 7 = 0. What is the greatest common factor of r and c?
27
Suppose -144 = -5*n + n. Calculate the highest common divisor of n and 18.
18
Let b = -46 + 88. Suppose 3*h + 15 = 0, s - 5*h = 6*s - 45. Calculate the greatest common divisor of b and s.
14
Suppose -q = -2 - 3. Let p = 16 - q. Let y = 1 + p. What is the highest common divisor of 12 and y?
12
Suppose 3*l - 4*d - 67 = -3*d, l + d - 21 = 0. Let o be l/18 - 4/18. Calculate the highest common factor of 7 and o.
1
Let t be 3/15 + (-138)/(-10). Suppose -4*g + 84 = -5*p, 2 = 2*g - 2*p - 40. Calculate the greatest common factor of t and g.
7
Let s be (5/(-2))/((-5)/270). Calculate the greatest common divisor of 27 and s.
27
Suppose 0*t = -2*t + 352. Let s(q) = -q**3 - 6*q**2 - 2*q + 4. Let r be s(-6). What is the highest common divisor of r and t?
16
Let b(w) = w**3 + 7*w**2 + 5*w - 4. Let y be b(-6). Suppose y*d = 3*d. Let x be (-3)/(-9)*d - -42. What is the highest common factor of x and 14?
14
Let z = 102 - 64. Suppose 4*m - z = 34. Calculate the highest common factor of m and 9.
9
Suppose 5*y = 209 - 29. What is the highest common factor of y and 9?
9
Suppose -2*b = -4*b + 418. Let a be (-3 - (0 + -3)) + 19. Calculate the highest common factor of a and b.
19
Let y be 3/(-2)*-8 + 0. What is the highest common factor of 9 and y?
3
Let h = 16 + 4. Let o = 23 - h. Calculate the highest common divisor of o and 27.
3
Suppose -2 = 6*i - 80. Let w = -33 - -98. What is the greatest common factor of w and i?
13
Let y = 6 + -11. Let j(a) = -3*a - 1. Let m be j(y). Calculate the greatest common divisor of m and 7.
7
Suppose -2*y + 80 = 2*y. Suppose l = -l + y. Let r = l + 10. What is the greatest common divisor of r and 30?
10
Let b = -68 - -134. What is the highest common divisor of b and 44?
22
Let r be 1 - (2*-4 - -1). Let k(b) be the first derivative of b**2/2 - 2*b - 1. Let a be k(r). What is the greatest common factor of a and 48?
6
Suppose 177 = -g - 4*t - 0*t, -t - 347 = 2*g. Let l(j) = -5*j**3 + 4*j**2 + 3. Let s be l(3). Let k = s - g. What is the highest common factor of k and 11?
11
Suppose 13 + 17 = 3*f. Calculate the greatest common factor of f and 80.
10
Let y = 10 + -11. Let g = 14 - y. Let j be 6/2 + -2 - -4. Calculate the greatest common divisor of j and g.
5
Suppose 0 = -0*t + 4*t. Suppose 0 = 5*g + d - 160, 7*d - 20 = 3*d. Suppose 3*w - g - 95 = t. Calculate the greatest common factor of w and 14.
14
Let t = 49 + -21. Calculate the greatest common factor of t and 28.
28
Let v = -68 + 108. Calculate the highest common divisor of 24 and v.
8
Suppose 16 = 4*s - 0*s. Suppose 10 = -5*w + 35. Suppose 3 = 2*l - w, -5*t + 5*l = -120. Calculate the highest common divisor of s and t.
4
Suppose -11*k + 5*k = -60. Calculate the greatest common divisor of k and 2.
2
Let v = 13 - 11. What is the greatest common divisor of 3 and v?
1
Let v = -4 - 0. Let k be 32/(-10)*30/v. Calculate the highest common factor of k and 12.
12
Let l = -25 + 46. What is the greatest common factor of 231 and l?
21
Suppose -14 = -d - 5. What is the greatest common divisor of d and 63?
9
Suppose a - 4*v + 3 + 3 = 0, -5*a + 50 = -4*v. Calculate the highest common divisor of a and 35.
7
Let a(x) = -8*x + 32. Let u be a(-10). What is the highest common divisor of 14 and u?
14
Let r(b) = -b**3 - 5*b**2 - 4*b + 6. Let s be r(-5). What is the highest common divisor of 208 and s?
26
Let d be 10 - 1 - (-6 - -7). Suppose 13*a = d*a + 90. Suppose -l = -3*u + 10, -3*l + 11 + 1 = 5*u. Calculate the highest common divisor of a and u.
3
Let g(f) = 4*f**2 - 2*f**2 + 1 + 1. Suppose -9*b = -6*b + 6. Let u be g(b). What is the greatest common divisor of 4 and u?
2
Let p = 60 - 42. Suppose -3*j - p = -o, 38 = 5*o - 4*o + 2*j. Let a be (-14)/(-77) - (-130)/11. What is the highest common factor of a and o?
6
Suppose 5*b + 103 = 4*m, -6*b + 138 = 5*m - 3*b. Calculate the greatest common factor of m and 9.
9
Let i(b) be the second derivative of -4*b**3/3 - 4*b**2 + b. Let x be i(6). Let f = -40 - x. What is the greatest common divisor of f and 48?
16
Let l be 18/(-6) - -23*1. Calculate the highest common divisor of 30 and l.
10
Suppose 4*t - 2*t + 5*p - 26 = 0, 0 = 2*t - 5*p - 46. What is the greatest common factor of 144 and t?
18
Let d(s) be the first derivative of -s**2 - 7*s - 1. Let k be d(-11). Calculate the greatest common factor of k and 10.
5
Let d be -7 + 3 - -138 - -1. Let b = 44 + -29. Calculate the highest common divisor of b and d.
15
Let g(h) = 6*h + 4. Let r be (6 + -3)*(-4)/(-3). Let k be g(r). What is the greatest common divisor of 4 and k?
4
Let d = -143 - -313. Let q(r) = 2*r**2 - 5*r - 1. Let w be q(-2). What is the highest common factor of d and w?
17
Let m be (-12)/(-20) + (-93)/5. Let h be -1 + 2 - 1 - m. Suppose -h = 2*u + 4*r, 8*r + 30 = 5*u + 3*r. Calculate the highest common divisor of 1 and u.
1
Let s(n) = 2*n - 1. Let g be s(2). Let v(j) = -j**3 + 7*j**2 - 3*j - 4. Let o be v(4). Let y = o - 17. Calculate the greatest common divisor of y and g.
3
Let i(t) = -t**2 - t - 7. Let o be i(0). Let r be 2/o + 258/21. Suppose 0*b - b = -60. Calculate the highest common divisor of r and b.
12
Suppose -o - 49 = -3*m, 69 = 3*m
|
{
"pile_set_name": "DM Mathematics"
}
|
l. Determine -3*m(y) + 24*o(y).
3*y
Let i(q) = 13*q**3 - 5*q**2 - 5*q + 5. Let z(t) = -90*t**3 + 36*t**2 + 36*t - 36. Suppose 2*o - 38 = -4*r + 98, r + 4*o = 20. Determine r*i(s) + 5*z(s).
18*s**3
Let c(t) = t**2 + 3*t. Let b(u) be the first derivative of 58 - 2/3*u**3 + 0*u - 4*u**2. What is -3*b(y) - 8*c(y)?
-2*y**2
Let n(r) = -6*r + 4. Let x be n(1). Let l be (2*-1)/x*8/4. Let a(w) = w**2 - w - 9*w**l - w + 4*w**2 - 3. Let f(t) = -9*t**2 - 5*t - 7. Give 14*a(y) - 6*f(y).
-2*y**2 + 2*y
Let s(t) = -20*t + 81. Let x(l) = -13*l + 54. What is 5*s(v) - 8*x(v)?
4*v - 27
Let w(h) = 55*h + 144. Let x(r) = -27*r - 87. What is 3*w(o) + 5*x(o)?
30*o - 3
Let o(b) = -516*b + 12. Let s(l) = 259*l - 7. What is 3*o(n) + 5*s(n)?
-253*n + 1
Let c(u) = -25*u**3 + 6*u**2 - 5*u + 181. Let r(p) = -9*p**3 + 2*p**2 - 2*p + 61. What is -4*c(a) + 11*r(a)?
a**3 - 2*a**2 - 2*a - 53
Let p(n) be the third derivative of 7*n**5/60 - n**4/24 + n**3/2 - 12*n**2 - 17*n. Let q(j) = -3*j**2 - 1. Calculate 2*p(i) + 5*q(i).
-i**2 - 2*i + 1
Let h(q) = -818*q**2 - 14*q + 9. Let l(d) = -545*d**2 - 9*d + 6. What is 5*h(t) - 8*l(t)?
270*t**2 + 2*t - 3
Let d(y) be the second derivative of -y**3/2 - 15*y**2/2 + 1907*y. Let g(x) = -10*x - 46. Calculate 7*d(a) - 2*g(a).
-a - 13
Let j(o) = -2*o - 1. Let b(r) = -5*r - 3. Suppose -43*p - 34*p = 78 + 153. Determine p*b(m) + 8*j(m).
-m + 1
Let j(u) = 1617*u + 43. Let s(f) = -2*f - 6. Calculate -j(p) - 7*s(p).
-1603*p - 1
Let z(j) = -1379*j**2 - 22*j - 3. Let t(b) = -691*b**2 - 12*b - 2. What is 11*t(o) - 6*z(o)?
673*o**2 - 4
Let d(m) = 9*m - 4. Let o(r) be the first derivative of 9*r**2/2 - 5*r + 815. Give 7*d(x) - 6*o(x).
9*x + 2
Let h(l) = -6*l - 1. Let g(z) be the second derivative of 7*z**3/6 + z**2/2 + 22*z. Suppose -9*f = -2*f + 196. Let d = f + 24. Determine d*g(o) - 5*h(o).
2*o + 1
Let d(v) = 24*v**3 + 42. Let n(m) = m**3 + 1. Let c(w) = -118*w + 5430. Let j be c(46). What is j*d(g) - 84*n(g)?
-36*g**3
Let b(t) = -12*t**3 + 6*t**2 - 6*t + 6. Suppose 0 = 11*q - 6*q - 70. Suppose -29 = -15*v - q. Let m(j) = -j**3 + j**2 - j + 1. Give v*b(u) - 6*m(u).
-6*u**3
Let g(r) = 7*r**3 + 5*r**2 + 15*r + 10199. Let c(a) = -3*a**3 - 2*a**2 - 6*a - 5093. Give -5*c(u) - 2*g(u).
u**3 + 5067
Let v(r) = -3*r - 13. Let u(o) = -55. Let w(i) = 1. Let z(x) = -u(x) - 33*w(x). Let a(q) = 18. Let m(y) = 6*a(y) - 5*z(y). Determine -14*m(s) + 2*v(s).
-6*s + 2
Let v(r) = 1516*r**2 + 5*r + 5. Let y(w) = 1514*w**2 + 4*w + 4. Calculate 5*v(t) - 6*y(t).
-1504*t**2 + t + 1
Let z(g) = 278*g - 61. Let t(q) = 137*q - 32. Give 5*t(u) - 3*z(u).
-149*u + 23
Let q(l) = l. Let n(x) = 7*x**2 - 24*x + 5. Let j(h) = 20*h**2 - 68*h + 14. Let r(y) = -4*j(y) + 11*n(y). What is -6*q(u) + r(u)?
-3*u**2 + 2*u - 1
Let x(s) = -12*s**2 - 429*s + 13. Let z(c) = -2*c**2 + 7*c + 3. Determine x(i) - 4*z(i).
-4*i**2 - 457*i + 1
Let a(w) = 3*w + 10. Let c be -1*12*(-8)/32. Let k(u) = -6*u - 20. Calculate c*k(i) + 5*a(i).
-3*i - 10
Let d(g) = 1942*g + 1. Let r(x) = 2*x - 1. Give -d(u) - 2*r(u).
-1946*u + 1
Let f(m) = -18*m - 721. Let t(s) = 28*s + 1081. What is 8*f(k) + 5*t(k)?
-4*k - 363
Let u(j) be the third derivative of 0 + 1/60*j**5 + 0*j**4 - 1/6*j**3 + 25*j**2 + 0*j. Let w(c) = -6*c**2 + 3. Calculate -6*u(i) - 2*w(i).
6*i**2
Let b(c) = 6493 - 12987 + 6493. Let z(f) = -2*f**2 + 2*f + 5. Suppose 0 = 4*r + 4*q - 4, -r + 5*q + 1 = 4*q. What is r*z(a) + 4*b(a)?
-2*a**2 + 2*a + 1
Let p be ((-20)/12 + 2)/((-14)/126). Let s(i) = -i. Let x(z) = -z + 2. Calculate p*s(d) - x(d).
4*d - 2
Let l(o) = 8*o - 17. Let g be (-6 - (-506)/77) + (-92)/14. Let w(a) = 15*
|
{
"pile_set_name": "DM Mathematics"
}
|
is the z'th term of -1, 8, 17?
9*z - 10
What is the x'th term of 15, 40, 65, 90, 115?
25*x - 10
What is the n'th term of -41, -67, -111, -173, -253, -351, -467?
-9*n**2 + n - 33
What is the j'th term of 33, 29, 23, 15?
-j**2 - j + 35
What is the a'th term of 33, 43, 51, 57, 61, 63, 63?
-a**2 + 13*a + 21
What is the f'th term of 189, 190, 191, 192, 193, 194?
f + 188
What is the r'th term of 14, 36, 80, 152, 258, 404, 596?
r**3 + 5*r**2 + 8
What is the d'th term of -64, -126, -192, -268, -360, -474?
-d**3 + 4*d**2 - 67*d
What is the c'th term of -8, -5, 20, 79, 184, 347, 580, 895?
2*c**3 - c**2 - 8*c - 1
What is the r'th term of 2631, 2634, 2639, 2646, 2655, 2666?
r**2 + 2630
What is the o'th term of -2061, -4120, -6179, -8238, -10297, -12356?
-2059*o - 2
What is the a'th term of 4818, 4823, 4830, 4839, 4850?
a**2 + 2*a + 4815
What is the h'th term of -82, -85, -88, -91, -94, -97?
-3*h - 79
What is the t'th term of 525, 1057, 1591, 2127, 2665, 3205, 3747?
t**2 + 529*t - 5
What is the a'th term of 1, 0, -1, -2?
-a + 2
What is the q'th term of 28, 77, 140, 223, 332?
q**3 + q**2 + 39*q - 13
What is the j'th term of -2288, -2288, -2290, -2294?
-j**2 + 3*j - 2290
What is the r'th term of 2626, 2593, 2562, 2533, 2506?
r**2 - 36*r + 2661
What is the r'th term of 422, 390, 358?
-32*r + 454
What is the c'th term of -27, -37, -59, -99, -163, -257, -387, -559?
-c**3 - 3*c - 23
What is the t'th term of 1, -8, -45, -128, -275, -504, -833, -1280?
-3*t**3 + 4*t**2
What is the c'th term of 4, 13, 14, 1, -32, -91, -182?
-c**3 + 2*c**2 + 10*c - 7
What is the q'th term of 27, 50, 97, 174, 287, 442, 645?
q**3 + 6*q**2 - 2*q + 22
What is the z'th term of -59, -48, -17, 40, 129?
z**3 + 4*z**2 - 8*z - 56
What is the m'th term of -606, -1218, -1832, -2448, -3066?
-m**2 - 609*m + 4
What is the m'th term of 7, 32, 57, 82?
25*m - 18
What is the c'th term of 0, -35, -108, -231, -416, -675?
-2*c**3 - 7*c**2 + 9
What is the w'th term of 9, 21, 61, 147, 297, 529?
3*w**3 - 4*w**2 + 3*w + 7
What is the w'th term of 25, 43, 87, 169, 301, 495?
2*w**3 + w**2 + w + 21
What is the o'th term of -16, -69, -166, -313, -516, -781?
-o**3 - 16*o**2 + 2*o - 1
What is the v'th term of 20, 74, 164, 290, 452, 650?
18*v**2 + 2
What is the v'th term of -289, -282, -275, -268, -261, -254?
7*v - 296
What is the z'th term of -65, -70, -83, -104, -133, -170, -215?
-4*z**2 + 7*z - 68
What is the s'th term of 20, 43, 74, 113?
4*s**2 + 11*s + 5
What is the s'th term of -9201, -18401, -27601, -36801, -46001?
-9200*s - 1
What is the u'th term of -13, -50, -157, -370, -725, -1258, -2005?
-6*u**3 + u**2 + 2*u - 10
What is the v'th term of 172, 675, 1512, 2683?
167*v**2 + 2*v + 3
What is the w'th term of 53, 90, 117, 128, 117?
-w**3 + w**2 + 41*w + 12
What is the m'th term of -262, -256, -250, -244?
6*m - 268
What is the h'th term of 337, 330, 323, 316, 309, 302?
-7*h + 344
What is the h'th term of 2, -1, 4, 23, 62?
h**3 - 2*h**2 - 4*h + 7
What is the c'th term of -11, -4, 3?
7*c - 18
What is the x'th term of 1, -17, -61, -143, -275, -469?
-2*x**3 - x**2 - x + 5
What is the m'th term of -2963, -5929, -8895, -11861?
-2966*m + 3
What is the y'th term of -259, -551, -877, -1237, -1631, -2059, -2521?
-17*y**2 - 241*y - 1
What is the a'th term of 0, -6, -32, -90, -192?
-2*a**3 + 2*a**2 + 2*a - 2
What is the b'th term of 2832, 2845, 2872, 2919, 2992?
b**3 + b**2 + 3*b + 2827
What is the g'th term of -4, -34, -92, -184, -316, -494, -724?
-g**3 - 8*g**2 + g + 4
What is the d'th term of 33780, 33779, 33778, 33777?
-d + 33781
What is the c'th term of -144, -138, -132, -126, -120?
6*c - 150
What is the k'th term of -18, -62, -134, -234?
-14*k**2 - 2*k - 2
What is the u'th term of 12, 5, 0, -3, -4?
u**2 - 10*u + 21
What is the u'th term of -10, -33, -72, -127, -198?
-8*u**2 + u - 3
What is the r'th term of -10, -25, -54, -103, -178, -285?
-r**3 - r**2 - 5*r - 3
What is the g'th term of 2132, 2133, 2132, 2129?
-g**2 + 4*g + 2129
What is the t'th term of -1027, -1024, -1019, -1012, -1003, -992?
t**2 - 1028
What is the p'th term of 483, 510, 555, 618, 699, 798, 915?
9*p**2 + 474
What is the d'th term of -83, -174, -267, -362, -459, -558?
-d**2 - 88*d + 6
|
{
"pile_set_name": "DM Mathematics"
}
|
0 - 1/8*c**4 - 1/6*c**3 - 5*c**v. What is y(-3)?
8
Let h(o) = o**2 + 7*o + 7*o**2 + o**2 + o**2 - 9*o**2. What is h(-8)?
8
Suppose 27*d = 19*d. Let w(l) = -7*l - 6 + 10*l - 2*l + d*l. Let q be (3/2 - 1)*0. Calculate w(q).
-6
Suppose 164 = 2*m - 5*c, 281 - 1 = 3*m + c. Let x(j) = -m*j**2 + 2*j**3 - j**3 - 1 + 88*j**2 - 2*j. What is x(4)?
-9
Let c(q) = 14*q**2 - 2*q - 1. Let t be c(-1). Suppose -4*p - 5*n + t = -28, -5*p + n = -32. Let j(z) = -z**2 + z - z**3 + 0*z**3 + 2*z**3 + p. Determine j(0).
7
Suppose p - 7 = -2. Suppose 3*s + s + 32 = -2*z, -3*s + 2 = -p*z. Let c(j) = -5*j**3 + 4*j**3 - 2*j + 6*j - 5*j**2 - 2. Give c(s).
10
Let y be (-3)/((-4)/6*78/52). Let p(i) be the third derivative of -1/6*i**y - 1/24*i**4 + 0 + 0*i - 3*i**2. Give p(-5).
4
Suppose 2*k + 6*k - 11*k = 0. Let q(z) = -z**3 + z**2 + 2. What is q(k)?
2
Let s(r) be the third derivative of 1/120*r**6 + 1/8*r**4 + 0 + 1/3*r**3 - 1/15*r**5 + 0*r + 6*r**2. What is s(3)?
2
Suppose -2*k + g + 5 = 0, -3*k + 7 + 3 = -2*g. Let s(j) = j**2 + j - 11. Determine s(k).
-11
Let w(x) be the first derivative of 5*x**2/2 + 16*x - 168. Determine w(-4).
-4
Let o(k) = k**2 + 9*k + 10. Let f be 6/(-18) - (-77)/(-21). What is o(f)?
-10
Let i = 8 - 2. Let a(c) be the first derivative of 23 - 1/4*c**4 + 2*c**3 + 8*c - c**2. Determine a(i).
-4
Let n(a) = -3*a - 12. Let u(v) = -2*v - 6. Let x(y) = 3*n(y) - 5*u(y). Let d(i) = i**2 + 40*i + 83. Let r be d(-38). Determine x(r).
1
Let y be 1 + (2 - (4 - 1)). Let f = y - -3. Let a(q) = 8*q**2 - 5*q + 7. Let t(c) = 7*c**2 - 5*c + 6. Let u(d) = -4*a(d) + 5*t(d). What is u(f)?
14
Let i(n) = -n**2 + 8*n - 1. Suppose -4*r - 5*u = 1, 4*u + 26 = 16*r - 15*r. Calculate i(r).
11
Let b(t) = -3*t + 55. Let m be b(19). Let g(z) = 6*z + 2. Give g(m).
-10
Let a(m) = 2*m - 2 + 2 - 4. Let f be a(3). Let v(q) be the second derivative of -2*q**3/3 - q**2 - 6*q - 3. What is v(f)?
-10
Let g(o) = -2*o**2 - 27*o - 68. Let t be g(-10). Let r(b) = 6*b + 1. Give r(t).
13
Let b(h) = -h**3 - h - 1. Let p(y) = -y**3 - 8*y**2 - 14*y + 4. Let u be p(-5). Calculate b(u).
1
Let f(r) be the first derivative of r**4/4 + 10*r - 5. Let p be f(0). Suppose 0 = 4*z + z - p. Let h(n) = -n**3 + 3*n**2 - 2. Determine h(z).
2
Let t(q) be the first derivative of 3*q**2/2 - 3*q + 14. Calculate t(5).
12
Let o(t) be the second derivative of t**4/12 + t**3/3 - 2*t**2 + 4*t. Let d = 262 - 265. Determine o(d).
-1
Let f be (-27)/(-5) - (-3)/5. Let t be f - (-1)/4*0. Suppose 5*z = -t - 14. Let o(v) = v**3 + 4*v**2 + v + 1. Calculate o(z).
-3
Let c be (-6)/(-20) - (-603)/90. Suppose 2*j + 2 - 6 = 0. Let z(x) = -x**j + c*x - 24*x + 11*x + 2. Give z(-5).
7
Let n(o) be the third derivative of -o**4/24 + 7*o**3/3 - 10*o**2. Let c be n(13). Suppose 4*b + 9 = c. Let i(j) = j**2 + j + 1. What is i(b)?
3
Let x = -242 + 414. Let p(c) = c**2 - 8*c + 83 - x + 91. Give p(8).
2
Let a(b) be the third derivative of -b**4/4 + 11*b**3/6 - 255*b**2. What is a(8)?
-37
Let l(g) = 41*g**2 - 4*g + 3. Let o be l(1). Let b = o + -39. Let w(k) = 2*k**2 + 1. Determine w(b).
3
Let o(a) = 2*a - 4. Let i be -2*2*(-10)/8. Suppose -40 = -4*m - 3*j, -2*j = -3*m - 7*j + 41. Suppose -m*r + i*r = -6. Determine o(r).
2
Let o(m) = -3*m + 1. Suppose 3 = 3*a + 4*i, a + 4*a - 5*i - 5 = 0. Determine o(a).
-2
Suppose g - 3*z - z + 11 = 0, -4*g - 2*z = -10. Let k(o) = 15*o**3 + o**2 - o + 1. Determine k(g).
16
Let d(c) = -4*c**2 + 15*c + 5. Let f(n) = -n**2 + 4*n + 1. Let z(m) = -2*d(m) + 9*f(m). Give z(7).
-8
Let q(c) be the third derivative of -c**6/120 + 7*c**5/60 - c**4/3 + c**3/2 - 60*c**2 + 1. Give q(6).
-9
Let u(k) be the third derivative of -k**4/6 + 4*k**3/3 + 247*k**2. What is u(3)?
-4
Let v(p) = -p - 11. Let x be (-4)/(-2)*(-3)/(-12)*2. Let b be 6/(-5 - x)*0. Calculate v(b).
-11
Let u be (-74)/5 + (-7)/35. Let l be 76/95*u/(-2). Let p(m) = -m**3 + 5*m**2 + 6*m - 9. Determine p(l).
-9
Let p(v) be the first derivative of v**4/24 - 53*v**2/2 - 48. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
se 5, what is 12040 - -1321100?
1333140
In base 15, what is -8db78e + 8?
-8db786
In base 6, what is -10 - 25445152342?
-25445152352
In base 14, what is -2064 - 614?
-2678
In base 8, what is -761550 + 3146?
-756402
In base 7, what is -2542160520 - 5?
-2542160525
In base 8, what is 3617 + -25356?
-21537
In base 13, what is -32b9 + 5c0?
-29c9
In base 11, what is 5054 + -28?
5027
In base 13, what is 889ca9 + -9?
889ca0
In base 13, what is 0 - -1056780?
1056780
In base 4, what is -2123311233 - -33130?
-2123212103
In base 5, what is 143 + -231242221?
-231242023
In base 2, what is 111110000110 + 110010011001011?
111010001010001
In base 15, what is -1a37c3d + 5?
-1a37c38
In base 15, what is -1e + 52620?
52601
In base 2, what is 101 + -100011000100010100001001?
-100011000100010100000100
In base 5, what is 1332241413 + 1?
1332241414
In base 5, what is -3313 - 103442042?
-104000410
In base 5, what is -33220 - 130242?
-214012
In base 14, what is d59b902 + 0?
d59b902
In base 8, what is -143 + -147311?
-147454
In base 2, what is -1010010101111100 - 1101000001?
-1010100010111101
In base 11, what is 144281 - a5?
144187
In base 16, what is -1 + -1012d6e6?
-1012d6e7
In base 10, what is -1876 - 13805?
-15681
In base 2, what is -1 + 1110110110101101011101110?
1110110110101101011101101
In base 6, what is -113 + -1503140243?
-1503140400
In base 16, what is 348daf1 - -5?
348daf6
In base 14, what is 2 - ca1196?
-ca1194
In base 11, what is -393 + -213a6?
-21789
In base 4, what is -310230 + 1210233?
300003
In base 4, what is 3111311332 - -2003?
3111320001
In base 14, what is 8 + 2cddd5?
2cdddd
In base 10, what is 3 + -1570044?
-1570041
In base 10, what is -1884864 - 1?
-1884865
In base 10, what is 692 - -8186?
8878
In base 8, what is -21320 - -20055?
-1243
In base 5, what is 1230 - 413410?
-412130
In base 4, what is -10201 + 3101303?
3031102
In base 7, what is 36215 - -2321?
41536
In base 5, what is -122 + -1240324144?
-1240324321
In base 12, what is -52 - 311581?
-311613
In base 9, what is -1 - 4651314?
-4651315
In base 4, what is -103 + -230331022?
-230331131
In base 6, what is 2 - -2143453441?
2143453443
In base 12, what is 5 + -20aa696?
-20aa691
In base 13, what is 43 + -10087a?
-100837
In base 13, what is 9075 + 92?
9137
In base 6, what is -150005 - -524?
-145041
In base 13, what is -1060 - 89?
-1119
In base 12, what is -2a9bb + -2023?
-30a22
In base 12, what is 1412324 + 6?
141232a
In base 10, what is 403 - -247491?
247894
In base 15, what is -23 - -7d25b?
7d238
In base 15, what is 1dee - 1934?
4ba
In base 15, what is -a2ae40 - -3?
-a2ae3c
In base 2, what is 10011101000001010010001 + -1101?
10011101000001010000100
In base 15, what is 29e - -8656c?
8681b
In base 5, what is 4343030020 - -1?
4343030021
In base 9, what is 274711 + -1747?
272853
In base 10, what is 613 + -30557?
-29944
In base 7, what is 5 + -434224?
-434216
In base 16, what is c5727 - -b8?
c57df
In base 9, what is 3 + -6617468?
-6617465
In base 6, what is 51153054 - 20?
51153034
In base 8, what is 2 - -234420677?
234420701
In base 6, what is -2 + 101421114?
101421112
In base 5, what is -323001300 + -1134?
-323002434
In base 16, what is 123 + 5d70?
5e93
In base 11, what is 3450 + -976?
2585
In base 15, what is -bb + ae07b?
adeb0
In base 14, what is -76298 - a5?
-7635d
In base 12, what is -39b313 + 43b?
-39aa94
In base 2, what is 1011010100000 - 1001011000001010?
-111111101101010
In base 15, what is c72e0c + 2?
c72e0e
In base 4, what is -1 + -1020123013201?
-1020123013202
In base 16, what is 2200 + -727c?
-507c
In base 9, what is 868 - 60614?
-58635
In base 3, what is 11222010 + 11010?
12010020
In base 5, what is -233230204 + 1021?
-233224133
In base 6, what is 2 + 1311153?
1311155
In base 11, what is -1 + -11519657?
-11519658
In base 6, what is 11021533105 + 0?
11021533105
In base 15, what is -1e - -33ac31?
33ac12
In base 15, what is 3a89a5 + -163?
3a8842
In base 13, what is a03c26 + 2?
a03c28
In base 6, what is -2533054 + -1543?
-2535041
In base 15, what is 11a - 64cd6?
-64bbb
In base 8, what is 5 + -124532403?
-124532376
In base 12, what is 2 - 113392?
-113390
In base 16, what is -31e9 + -177f?
-4968
In base 11, what is 153956384 + -5?
15395637a
In base 15, what is -6 + -15dd558?
-15dd55e
In base 3, what is -20 - 202120111121221?
-202120111122011
In base 13, what is 4864264 - 3?
4864261
In base 6, what is -1002324 - -400?
-1001524
In base 5, what is -1240 + 13000344?
12444104
In base 11, what is 39 - 2692368?
-269232a
In base 12, what is 3 - -277211?
277214
In base 16, what is 1b1b3c6 - 0?
1b1b3c6
In base 14, what is 2c72d7 - 216?
2c70c1
In base 10, what is -6058493 - -38?
|
{
"pile_set_name": "DM Mathematics"
}
|
j) = -19*j**3 - 26*j**2 - 5*j + 46. Let d(n) = -7*i(n) + 2*k(n). Find the second derivative of d(s) wrt s.
24*s + 8
Let x(c) be the first derivative of c**6/3 - 23*c**4/12 - 35*c + 34. Let f(p) be the first derivative of x(p). What is the third derivative of f(s) wrt s?
240*s
Let s(j) = -15*j**3 + 5*j + 9. Let t(r) = 7*r**3 - 2*r - 5. Let x = 75 + -73. Let q(k) = x*s(k) + 5*t(k). Differentiate q(f) with respect to f.
15*f**2
Differentiate 4*t**2 - 4*t**2 - 3*t + 4*t**2 + 187 - 3*t**2 + 76*t with respect to t.
2*t + 73
What is the third derivative of 9*l - 5 - 22*l**2 - 59*l**4 - 7*l + 5 wrt l?
-1416*l
Let g = 25 - 19. Let u(v) = v**3 + 7*v**2 + 5*v + 1. Let x be u(-6). What is the third derivative of s**6 - 2*s**2 + g*s + s - x*s wrt s?
120*s**3
What is the second derivative of 12 + q - 30 + 3*q**3 - 187 + 55*q**2 - 12 wrt q?
18*q + 110
Let k(d) = 4*d**2 + 7*d + 8. Let h be k(-2). What is the second derivative of 9*c + 8*c + h*c**2 - 24*c**2 wrt c?
-28
Let m(o) be the second derivative of 13*o**7/2520 - 13*o**5/120 + 2*o**4 + 15*o. Let s(f) be the third derivative of m(f). Differentiate s(d) wrt d.
26*d
Let m(v) = 2*v**3 - v**2 - v + 2. Let n(y) = 13*y**4 - 22*y**3 - 6*y**2 + 11*y - 22. Let c(l) = 66*m(l) + 6*n(l). What is the third derivative of c(h) wrt h?
1872*h
Let x(d) be the first derivative of -77*d**4/4 - 83*d + 137. Differentiate x(p) with respect to p.
-231*p**2
Let x(z) be the third derivative of 233*z**6/120 - z**5/12 - z**4/24 + 217*z**2. Find the third derivative of x(u) wrt u.
1398
Let i(s) be the third derivative of s**9/378 - s**6/90 + s**3 + 14*s**2. Let n(q) be the first derivative of i(q). What is the third derivative of n(y) wrt y?
480*y**2
What is the second derivative of 1 + 29*k**4 + 27*k**4 + 3*k**5 + 0*k - 39*k**4 + 8*k wrt k?
60*k**3 + 204*k**2
Find the third derivative of 3*i**5 + 2*i**5 - 18*i**4 + 0*i**4 - 6 - 10 - i**4 - 2*i**2 wrt i.
300*i**2 - 456*i
Suppose 6*v - 30*v + 96 = 0. Let q(y) be the third derivative of 0 + y**2 + 0*y**3 + 3/8*y**v + 0*y + 1/5*y**5. What is the second derivative of q(s) wrt s?
24
Let b(l) = -58*l**3 + 70*l**2 + 5*l + 5. Let z(y) = 59*y**3 - 71*y**2 - 4*y - 4. Let m(v) = 4*b(v) + 5*z(v). Find the third derivative of m(u) wrt u.
378
Let k(p) be the third derivative of 0*p**3 + 0*p + 5/12*p**4 + 0 + 12*p**2 + 1/12*p**5. What is the second derivative of k(d) wrt d?
10
Let u = 24 - 42. Let v = u - -21. What is the derivative of 2 - v + 1 - 1 - 10*k**3 wrt k?
-30*k**2
Let l = -48 - -97. What is the third derivative of 4*r**2 + 17 - 17 - l*r**2 + 6*r**4 wrt r?
144*r
Find the second derivative of j**3 + 12 + 10*j**2 - 12 - 10*j - 16*j wrt j.
6*j + 20
Let n(z) be the third derivative of z**8/168 + 12*z**7/35 + 10*z**5/3 + z**2 + 24*z. Find the third derivative of n(w) wrt w.
120*w**2 + 1728*w
Find the third derivative of -212*f**3 + 150*f**3 - 35*f**2 + 92*f**2 wrt f.
-372
Let h be ((-1)/2)/((4/184)/(-1)). Find the third derivative of -10*z**5 + z**2 + 9*z**2 - h*z**2 wrt z.
-600*z**2
Let m(v) be the first derivative of 4*v**2 + 2*v + 2/3*v**3 + 4. Let i(a) be the first derivative of m(a). Differentiate i(h) wrt h.
4
What is the derivative of 15 + 29 + 269*m**2 - 61 - 263 wrt m?
538*m
Let q(i) = i**2 + 5*i + 3. Let v be q(-5). What is the second derivative of 3*p**3 - p**v - 26*p + 25*p wrt p?
12*p
Let o be ((-21)/(-6))/(6/12). What is the second derivative of 2 - 3*d**2 - 9*d - 2 - o*d**2 wrt d?
-20
Suppose 5*d - 13 = -4*y, 3*y - 6*y + d + 5 = 0. Find the second derivative of 3*n + 0*n**2 - 3*n - 2*n**y + 2*n wrt n.
-4
Let c(t) = t - 4. Let v be c(8). Suppose -v*k + 17 + 3 = 0. Find the third derivative of 0*s**5 - 2*s**2 + 5*s**2 - 2*s**k - 2*s**2 wrt s.
-120*s**2
Let b be (8 - 5) + -2 + (2 - 0). What is the third derivative of 3 + 1 - 56*d**4 + 71*d**4 - 3*d**b + 5*d**2 wrt d?
360*d - 18
Let i(r) = 261*r**4 + 11*r**3 - 11*r + 569. Let t(u) = -52*u**4 - 2*u**3 + 2*u - 114. Let p(g) = -2*i(g) - 11*t(g). Differentiate p(y) wrt y.
200*y**3
Let f = 538 + -536. Let l(q) be the third derivative of -7/6*q**3 - 1/6*q**4 + 0 + 0*q + 2*q**f. Find the first derivative of l(h) wrt h.
-4
Suppose -13*m + 94 - 16 = 0. Find the third derivative of 3*j**6 + 14*j**2 - 4*j**4 + 3*j**6 - 5*j**6 + 9*j**m wrt j.
1200*j**3 - 96*j
Let i(c) be the first derivative of 45*c**4/4 - 2*c**3/3 + 35*c**2/2 + 2*c - 35. What is the second derivative of i(l) wrt l?
270*l - 4
Suppose c - 98 + 96 = 0. Let g(i) be the second derivative of 9/2*i**c + 7*i - 1/
|
{
"pile_set_name": "DM Mathematics"
}
|
7, l in increasing order.
l, 0.1, 4/7
Suppose 3*c - 4*c = 2, 3*g = 3*c - 3. Let k = -0.17 - -0.2. Let o = k + 0.37. Put -4, g, o in descending order.
o, g, -4
Let c = 105 + -99. Let z(f) = 3*f**2 - 21*f + 14. Let d be z(c). Put -3, 1, d in increasing order.
d, -3, 1
Let p = -74.75 + 74.9. Put p, 0, 0.8 in increasing order.
0, p, 0.8
Suppose 4*s - 6 = 2*s. Let h be (16/6)/(22/33). Suppose h*z + 24 = -2*z. Sort -1, s, z in decreasing order.
s, -1, z
Suppose -2*z + 4*k - 12 = 0, 4*z + 3*k - 21 = 2*k. Sort 4/5, -5, z in descending order.
z, 4/5, -5
Let c = -0.219 + 0.239. Put 24, 4, c, 0.1 in decreasing order.
24, 4, 0.1, c
Let i = 39 + -29. Put i, 0.3, -2 in ascending order.
-2, 0.3, i
Let z(c) = 1 + 10*c + 13*c + 3 - 3*c. Let x be z(3). Let k = -319/5 + x. Put 5, -2, k in ascending order.
-2, k, 5
Suppose 5*c + 29 = 3*j, -5*c - 3*j + 44 = 55. Put -5, c, 11, -3 in increasing order.
-5, c, -3, 11
Let d = -17 - -18. Let b be 141/(1 + 2) + d. Let r be 6/(-8)*b/(-126). Sort r, 1/4, -1 in decreasing order.
r, 1/4, -1
Suppose 2 + 2 = 4*g. Let t be g + 6/16*-2. Let a = -440 + 437. Sort a, 3/4, t in decreasing order.
3/4, t, a
Let t(q) = -q**3 + 3*q**2 + 4*q. Let d be t(4). Let x be (-16)/4 + 9 + 0. Suppose 0 = l - 3 + x. Sort l, 1, d in ascending order.
l, d, 1
Let q(z) = -z**2 - 6*z + 15. Let a be q(2). Let l be 18/(-21)*(7 + 0) - a. Put l, -1, 3, -3 in descending order.
3, -1, -3, l
Let i = 54 - 431/8. Let k = 0.8 - 0.3. Sort i, 3, k in ascending order.
i, k, 3
Suppose 8 = -2*n + 2, 0 = 4*k + 5*n + 3. Suppose -8 = 5*j + 2. Let v be 0 + k/(-1) + j. Put 5, v, -1 in descending order.
5, -1, v
Suppose 0 = x + 10 - 5. Let b be (-6)/(-2)*(-2 + 0 + 3). Put x, b, 15 in increasing order.
x, b, 15
Let d be (-6)/9 + 30/(-9). Let j be 3/(84/(-4))*-7. Sort -1, d, j, 2.
d, -1, j, 2
Let b = 1166/63 + -164/9. Sort -3/5, 12, b in increasing order.
-3/5, b, 12
Let h = 653 + -4570/7. Sort h, 5, 0.2 in ascending order.
h, 0.2, 5
Let y be 9893/(-2470) + -4*(-1 - 0). Let k = y - 371/1710. Put -7, -3/7, k in descending order.
k, -3/7, -7
Suppose 114 = -55*q - 51. Sort 4, q, 1, -5 in ascending order.
-5, q, 1, 4
Let l(u) = u**2 + 18*u - 3. Let y(b) = -7*b + 3. Let j be y(3). Let x be l(j). Sort -8, 3, x in increasing order.
-8, x, 3
Let p(o) = o**2 - 3*o - 7. Let u(c) = -c**3 + 5*c**2 - 6*c + 13. Let v be u(4). Let z be p(v). Sort -5, z, 1, 2 in descending order.
z, 2, 1, -5
Let w = 0.02 - 24.02. Let o = 33 + w. Sort o, 4, -3 in decreasing order.
o, 4, -3
Let x(l) = l. Let p be x(3). Suppose 0*g - 18 = -3*g - 3*w, -4*g = -p*w - 3. Sort -2, 5, g in ascending order.
-2, g, 5
Let r = 51 - 53. Sort -14, r, -4 in ascending order.
-14, -4, r
Let f = 1595/119 - 93/7. Let j be ((-2)/6)/((-3)/27). Put -0.1, j, f, -1 in descending order.
j, f, -0.1, -1
Let y = -21 - -39. Put -4, 1, y, 0 in decreasing order.
y, 1, 0, -4
Let s = -540.3 + 408. Let l = -101 - s. Let i = l - 31. Put 1, -2/5, i in ascending order.
-2/5, i, 1
Let s be (-5)/6*((-15)/300 - 0). Put 5, s, 3 in descending order.
5, 3, s
Let j = 939/16 + -8419/144. Let o be (-48)/100 + (-2)/(-4). Sort j, 2/19, o in increasing order.
o, 2/19, j
Let j be (-4 + (4 - 5))*12/(-20). Put -4/7, j, -9 in increasing order.
-9, -4/7, j
Let k = -556 - -548. Sort -3/7, 4, k in decreasing order.
4, -3/7, k
Suppose m = -f - 3, -m = 3*f - 2*m + 13. Let c(y) = -5*y**3 - 1. Let k be c(-1). Let r be k/(-6)*(-2 + 5). Put r, f, -1 in ascending order.
f, r, -1
Let q = -272 - -271.6. Let o be 15/(-10)*2/(-6). Put q, -0.5, o, -4 in increasing order.
-4, -0.5, q, o
Let i = 733.5 - 734. Put -6/7, i, 7 in ascending order.
-6/7, i, 7
Let h be -2 + 2/(6/15). Let b = -1313 + 1313. Sort h, -4, b in increasing order.
-4, b, h
Suppose 216 = 6*v - 42. Let a = -44 + v. Suppose 7*u = 4*u + 6. Put u, a, -2 in decreasing order.
u, a, -2
Let u(v) = -5 + 0*v**2 - v**2 + 4*v + 1. Suppose -9 = 5*k - 8*k. Let p be u(k). Put 1, -3, p in descending order.
1, p, -3
Let r(m) be the second derivative of -m**4/12 - m**3 + 7*m**2/2 - m. Let z be r(-7). Let x be (3/((-30)/4))/((-887)/4435). Put z, 1, x in increasing order.
z, 1, x
Suppose -2*x - 5*q + 21 = 0, -3*x = -4*q + 1 + 2. Suppose -x*k + 2*k = 5*j - 27, 5*k = 2*j. Let a(n) = -n + 3. Let f be a(-3). Sort j, 3, f in decreasing order.
f, j, 3
Let x = -58 + 61. Suppose -22 = -x*o -
|
{
"pile_set_name": "DM Mathematics"
}
|
ce esee when four letters picked without replacement from {h: 2, e: 9, z: 1, s: 1, u: 7}?
7/1615
Two letters picked without replacement from {r: 1, d: 4, y: 2, x: 3, g: 2}. Give prob of sequence gd.
2/33
What is prob of sequence ffzz when four letters picked without replacement from zzzfzzzzzzzf?
1/66
Two letters picked without replacement from wzzzwwzzzzzwzzzzzzzw. Give prob of sequence zw.
15/76
What is prob of sequence ll when two letters picked without replacement from hhllhhlhhhhllh?
10/91
What is prob of sequence fcif when four letters picked without replacement from {i: 1, f: 3, c: 1}?
1/20
Four letters picked without replacement from qqcccqiqccqqqcq. Give prob of sequence qqqq.
2/39
What is prob of sequence hrl when three letters picked without replacement from {r: 7, l: 5, h: 1}?
35/1716
What is prob of sequence bbbb when four letters picked without replacement from {b: 8, g: 5}?
14/143
Calculate prob of sequence zii when three letters picked without replacement from nibzinoibzbzzzzn.
3/280
Calculate prob of sequence ifg when three letters picked without replacement from gfifigfgiifif.
25/572
Two letters picked without replacement from {y: 3, h: 3}. Give prob of sequence hh.
1/5
Two letters picked without replacement from {j: 9, h: 6, x: 1, w: 2}. Give prob of sequence hx.
1/51
What is prob of sequence idcc when four letters picked without replacement from {c: 4, o: 1, x: 2, d: 3, i: 2}?
1/165
Four letters picked without replacement from jggjgjgjgjjg. What is prob of sequence gjgj?
5/66
Two letters picked without replacement from {l: 4, r: 2}. Give prob of sequence rr.
1/15
Four letters picked without replacement from eezeeeeeeeeueezuue. What is prob of sequence uuuz?
1/6120
Calculate prob of sequence oss when three letters picked without replacement from eosqs.
1/30
Four letters picked without replacement from aoioyhiyninanioaaaoo. Give prob of sequence iyay.
1/2907
Two letters picked without replacement from {n: 1, b: 1, v: 1, q: 2, a: 2, g: 1}. What is prob of sequence ng?
1/56
What is prob of sequence xu when two letters picked without replacement from {d: 2, t: 3, a: 1, u: 1, y: 3, x: 2}?
1/66
What is prob of sequence vgvg when four letters picked without replacement from {t: 1, g: 10, v: 8}?
35/646
Calculate prob of sequence nnpo when four letters picked without replacement from {n: 4, o: 6, q: 1, p: 2}.
6/715
Two letters picked without replacement from olgl. What is prob of sequence lo?
1/6
Four letters picked without replacement from sssstfsss. What is prob of sequence tttf?
0
Three letters picked without replacement from {z: 1, d: 1, e: 2, f: 1}. What is prob of sequence eed?
1/30
What is prob of sequence id when two letters picked without replacement from {d: 2, e: 2, k: 1, l: 2, w: 5, i: 1}?
1/78
Three letters picked without replacement from gjmjmjmjgmrmnggj. What is prob of sequence jjm?
5/168
Three letters picked without replacement from brbbbkkkkkkbbkkkbkkr. What is prob of sequence rrb?
7/3420
Two letters picked without replacement from tvvrxvxrvvtvrtvvttt. What is prob of sequence rr?
1/57
Four letters picked without replacement from {k: 2, m: 9, l: 3, p: 2, c: 1}. What is prob of sequence pcpm?
3/9520
What is prob of sequence ot when two letters picked without replacement from {o: 5, t: 11}?
11/48
What is prob of sequence lkl when three letters picked without replacement from klcl?
1/12
Two letters picked without replacement from {f: 1, u: 1, q: 4, c: 3, p: 1, a: 5}. Give prob of sequence fp.
1/210
Four letters picked without replacement from {p: 5, h: 1, m: 5}. Give prob of sequence mmpp.
5/99
Three letters picked without replacement from ooeeee. What is prob of sequence eoe?
1/5
Three letters picked without replacement from {k: 1, u: 2, n: 1, l: 1, a: 2, v: 1}. What is prob of sequence uvk?
1/168
Two letters picked without replacement from {t: 1, o: 1, v: 1, g: 5, f: 7}. What is prob of sequence gf?
1/6
Two letters picked without replacement from pppppplpppllppp. Give prob of sequence pp.
22/35
Four letters picked without replacement from {l: 6, x: 1, h: 5, m: 7}. Give prob of sequence hlhh.
5/1292
Two letters picked without replacement from {e: 1, f: 1, y: 3, n: 1, s: 1}. What is prob of sequence ns?
1/42
Two letters picked without replacement from {y: 1, s: 2, d: 2, v: 1, e: 1}. What is prob of sequence dv?
1/21
Three letters picked without replacement from {m: 3, h: 2, b: 2, u: 2}. What is prob of sequence mhm?
1/42
What is prob of sequence qt when two letters picked without replacement from {n: 8, p: 2, t: 2, q: 3, v: 5}?
3/190
Three letters picked without replacement from ddwdddddddwdd. Give prob of sequence dwd.
5/39
Two letters picked without replacement from llhhllhlzhhlzlll. Give prob of sequence zz.
1/120
What is prob of sequence nz when two letters picked without replacement from bzbnbbbzzr?
1/30
Calculate prob of sequence fcfc when four letters picked without replacement from {c: 3, f: 3}.
1/10
What is prob of sequence isu when three letters picked without replacement from {s: 1, u: 1, o: 1, y: 1, i: 4}?
1/84
What is prob of sequence gg when two letters picked without replacement from ghogggebwghgehh?
1/7
Four letters picked without replacement from rrrgrrrrrgrrrg. What is prob of sequence rggr?
5/182
What is prob of sequence flz when three letters picked without replacement from {f: 1, w: 1, x: 2, l: 1, z: 2}?
1/105
What is prob of sequence xlk when three letters picked without replacement from {x: 2, r: 2, k: 4, l: 6, s: 3}?
1/85
Two letters picked without replacement from {t: 3, j: 1, a: 4, r: 4, v: 2, l: 3}. What is prob of sequence ja?
1/68
Calculate prob of sequence vlvl when four letters picked without replacement from lllvlvlllvvvll.
60/1001
Two letters picked without replacement from tppppipkppeiipkptpte. Give prob of sequence ep.
1/19
What is prob of sequence hro when three letters picked without replacement from {h: 12, o: 2, r: 4, w: 2}?
4/285
Three letters picked without replacement from hhhh. Give prob of sequence hhh.
1
Four letters picked without replacement from {l: 1, h: 2, e: 1, r: 2}. Give prob of sequence rleh.
1/90
Four letters picked without replacement from {g: 2, i: 10, f: 3, b: 3}. What is prob of sequence gbbg?
1/6120
Three letters picked without replacement from {t: 1, y: 2, e: 1, z: 1, d: 1, x: 1}. What is prob of sequence zxd?
1/210
What is prob of sequence ww when two letters picked without replacement from wgggwg?
1/15
Two letters picked without replacement from {m: 1, y: 2, p: 2, v: 4}. What is prob of
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.01, c, 0.1, z?
0.1
Let h = 394 + -270. Let j = -624/5 + h. Let q = 6 - 8. What is the second smallest value in q, j, -6?
q
Let g = -5/14 - -11/70. Let f = 0.97561 + 0.02439. Let m = 13 + -8. Which is the third biggest value? (a) f (b) m (c) -8 (d) g
d
Suppose -3*p - 5*z = -32, -3*p = -2*z - 2 - 2. Let f = 0.4944 - 0.5444. Let o = 1.2 + -5.2. Which is the fourth biggest value? (a) o (b) 2/13 (c) f (d) p
a
Let p(t) = 2*t**2 - 2*t - 27. Let r be p(-3). Let k = -21 - -20. Which is the fourth smallest value? (a) r (b) -0.5 (c) 6/7 (d) k
c
Let i = 55.94 + -56.14. Which is the second biggest value? (a) 10 (b) 2/9 (c) i (d) -19
b
Let r be ((-477)/106)/(3/(-174)) + -6. Which is the second biggest value? (a) 4 (b) -2/5 (c) r
a
Let q be -349 + -1 + 0 + 0. Let z be q/91 - -4*1. Let r be 11/13 - 1 - (-54)/(-1170). What is the second smallest value in z, r, -37?
r
Suppose 4*w - 5*d + 81 = 340, -5*d + 335 = 5*w. Let a be 1/2 + (-21)/w. Let j = 3.281 + -3.181. What is the second biggest value in -0.11, 2/7, a, j?
a
Let d = -162 - -490/3. Let u = 38.2 + -37.2. Which is the second smallest value? (a) 0.4 (b) d (c) u
c
Suppose v = -n + 5, 0*n + 5*n + 5 = v. Let u = 2353.2 + -2356.2. Which is the third smallest value? (a) 0.3 (b) n (c) u (d) 12
a
Let m(k) = k**3 + k**2 - 8*k + 12. Let s be m(-8). Which is the second smallest value? (a) s (b) -2/3 (c) 4/3 (d) 5
b
Let l = 1.1 - 0.1. Suppose -3*r + 2*n + n = -951, -5*r - 3*n = -1601. Let i be ((r/(-15))/11 - -2)*6. Which is the smallest value? (a) i (b) -0.01 (c) l
b
Let c(a) = -33*a - 32. Let v be c(0). Let b be (30/75)/(v/30*1). Let f = -9.09 + 9. What is the second biggest value in f, b, -2/3?
b
Let p = 71 + -73. Which is the third biggest value? (a) 0.094 (b) p (c) 1/4 (d) 3
a
Let t = -11.25 - -0.25. Let b = -11.5 - t. Let r(q) = -q**3 - 6*q**2 - 6*q - 2. Let w be r(-5). What is the second biggest value in 2/17, w, 0.5, b?
0.5
Let o = 0.3 + -0.5. Let v = -5.37 + 5.77. Let n = 0.07 + 0.93. What is the second biggest value in n, v, o, -1?
v
Let m = -6491 + 6491.361. What is the third biggest value in -0.5, -4, m, -2/13?
-0.5
Let a = 1.8132 + -1.8332. What is the biggest value in a, 0.4, 1, -12?
1
Let d = -51 - -56. Let o = -22.2 + 25. Let g = -0.2 - o. Which is the third biggest value? (a) d (b) g (c) -1/7
b
Let u be 0 + 74/(-14) + (-11)/((-132)/60). Which is the second biggest value? (a) 9/11 (b) -1 (c) -6 (d) u
d
Let r = -43 - -87. Let q = -9327 - -9327. What is the second biggest value in q, -3, r?
q
Let g = -18199 - -2001889/110. What is the biggest value in -4, -8, g?
g
Let a be 354/(-2655) + 106/(-45) + 2/(-18). What is the biggest value in 0.5, 3/2, a?
3/2
Let h(l) = -l**2 + 6*l - 2. Let n be h(4). Let x be (-8)/n*2/8. Let w = -3.181 + 0.181. Which is the smallest value? (a) 0.06 (b) x (c) 1 (d) w
d
Suppose 3*h + 6*h + 204 = 43*h. Which is the third smallest value? (a) h (b) -3 (c) -0.1078
a
Let r = 3 + -4. Let u(q) = q - 15. Let b be u(1). Let h = -40/3 - b. What is the biggest value in r, 1/3, h, 0.1?
h
Let v = 7121 + -7120.6. Let s = 8.82 - -0.18. What is the fourth biggest value in s, -0.5, v, -2?
-2
Let m = 9.919 - 9.519. What is the third biggest value in 0.9, 1/10, m?
1/10
Let j = 10/29 - 129/290. Let s = -1 + 1.2. Which is the third smallest value? (a) s (b) 8 (c) 4 (d) j
c
Let o = 65.1 + -65. Suppose 3*v = 8*v - 55. Let x = -4 + v. Which is the fourth biggest value? (a) x (b) 1/3 (c) 1/4 (d) o
d
Let z = 100/3 - 234/7. Let p = -39 - -31.9. Let r = p + 6.9. What is the smallest value in r, -37, z, -1?
-37
Let l = -2246/11 - -204. Let q be 4/18 + (-688)/(-144). Which is the second biggest value? (a) -1/6 (b) 1/4 (c) q (d) l
b
Let d = -0.6 - 0.4. Let j = 688 + -410. Let n = 277.89 - j. What is the second smallest value in n, d, 2/7?
n
Let b = -0.6654 + 3.6654. What is the biggest value in -17, 19, b?
19
Let d = 70/243 + -59/486. What is the fourth biggest value in -0.48, 1, 0.1, d, -1?
-0.48
Let g(z) = -9*z**3 + z**2 + 10*z - 10. Let n be g(1). Let y be ((-6)/n)/((-351)/78). Which is the smallest value? (a) y (b) 14 (c) 2/5 (d) -2/9
d
Let d = 0.28 + -4.28. Let f be 58/(-10) - (-93 - -86). What is the second smallest value in d, f, 1/2?
1/2
Let y = 0.16702 - 0.66702. Which is the third biggest value? (a) -2/15 (b) y (c) 12 (d)
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the units digit of g(b)?
5
Let f be 12/(-3) - (0 - 2). Let s be f/(-5) - (-4)/(-10). Suppose s = -5*j - 9 + 29. What is the units digit of j?
4
Suppose -28 = -o + 14. What is the tens digit of o?
4
Let u be 3/15 + 142/(-10). Let p be u/(-6) + 3/(-9). Suppose p*v = -5*f + 5*v + 13, 0 = f - 4*v - 6. What is the units digit of f?
2
Suppose 3*l = 1 + 14. Let w(g) = 3*g - 1. What is the tens digit of w(l)?
1
Let v(u) = -u**3 + 2*u**2 - u - 1. Let i be v(2). Let l be 0/(12/i - -3). Suppose 12 = -l*s + 3*s. What is the units digit of s?
4
What is the units digit of (-96)/(-42) - 2/7?
2
Let s(a) = -2*a**2 - 1 + 2 + 0 + 3*a + 2*a**3 - 2. What is the tens digit of s(2)?
1
Suppose 0 = -l + 2 + 2. Suppose -4*q = -6*q + l. What is the units digit of q?
2
Let z(o) = -1. Let q(f) = 17*f + 6. Let s(i) = -q(i) - 3*z(i). What is the tens digit of s(-2)?
3
Suppose -7 + 1 = 3*n. Let z be 0/(0/1 - n). Suppose -4*j - 12 = -2*o, 3*j - 5 - 7 = z. What is the tens digit of o?
1
Let s be 6/15 + (-16)/(-10). Suppose 0*m + s*m - 8 = 0. Suppose 2*x - 12 = -4*w + 6, 4*x = -m*w + 12. What is the units digit of w?
6
What is the units digit of ((-12)/8)/(3/(-358))?
9
What is the units digit of (-8)/(2 - (-24)/(-10))?
0
Let v = -16 - -44. What is the units digit of v?
8
Suppose -4*g - 5*i + 532 = 0, 0 = -5*i - 27 + 7. Suppose -5*a + 3*d = -164, 4*a - d - g = -2*d. What is the units digit of a?
4
Let s(w) = 2 + w**2 - 10 + w + 6 - 6*w. What is the tens digit of s(9)?
3
Let i = -68 + 72. What is the units digit of i?
4
Let l(a) = a**3 - 9*a**2 + 9*a - 3. Let v be l(8). Suppose v = i + 4. What is the units digit of i?
1
Let b(m) = -m**3 + 15*m**2 + 19*m - 15. Let j be b(16). What is the tens digit of (2 + -4)/((-3)/j)?
2
Let l be (-1 - -2)/((-3)/(-6)). Suppose l = 5*w - 143. What is the units digit of w?
9
Suppose 4*o - 14 = 3*g, 5*g - 1 + 13 = o. Let l = 6 + 0. Let m = g + l. What is the units digit of m?
4
Let i(r) = -22*r**3 + 4*r**2 + 3*r. Let w be i(-2). Suppose -5*u - 3 = -3*t - w, u = 4*t + 40. Suppose -u = s - 5*s. What is the units digit of s?
9
Suppose 0 = -3*s - 619 + 1915. What is the units digit of s?
2
Suppose 3*n - 2*g = 7, -2*g = -6*g + 16. Suppose -2*s - 2*t + 20 = 0, n*t - 20 + 70 = 5*s. What is the units digit of s?
0
Let u(t) = t**3 - 9*t**2 + 8*t - 2. Let j be u(8). Let q(f) = -f**3 + 2*f. What is the units digit of q(j)?
4
Suppose 3*s + s + 2*z - 358 = 0, -355 = -4*s - z. What is the tens digit of s?
8
What is the units digit of 1*3/(-1)*-4?
2
Suppose 0*l + 2*l = 0. Suppose 5*j + 25 = l, -8 = x - 0*x + 2*j. What is the units digit of x?
2
What is the hundreds digit of ((-1503)/(-18))/((-2)/(-4))?
1
Let j = 14 + 20. What is the units digit of j?
4
Suppose -t + 49 + 1 = 0. What is the tens digit of t?
5
Suppose -5*l + 2*k + 16 = 0, 5*l + 2*k - 4 = -0*l. What is the units digit of l*19 - (5 - 7)?
0
Suppose 3*h + 3*i = -3 + 27, -3*h + 4*i + 3 = 0. Let v be (-15 + h)/(-2 - 0). Suppose -v*w + 23 = -17. What is the units digit of w?
8
Suppose -3*b = 5*o - 107, 2*b - 134 = -2*b + 2*o. What is the units digit of b?
4
Let s be ((-15)/2)/((-9)/(-24)). What is the tens digit of (-288)/s + 2/(-5)?
1
What is the units digit of 14 + 1 - (-1 - 0)?
6
Let u = -6 + 2. Let g be (-51)/(-15) - u/(-10). Suppose 5*j + 3*d = g + 24, -5*j + 26 = 4*d. What is the units digit of j?
6
Suppose b - 392 = -7*b. What is the tens digit of b?
4
Let i = 10 - 7. Suppose 3*q - 3*f = 165, -i*f - 65 = -3*q + 2*q. Suppose 4*l + 6 - q = 0. What is the tens digit of l?
1
Let x be 2/9 - (-1992)/27. Suppose -4*i - 2 = -x. What is the tens digit of i?
1
Let h(y) = -y**3 - 6*y**2 - 5*y + 1. Let s be h(-5). Suppose -2*b = 5*i + 7, b + i + s = -i. What is the units digit of b?
9
What is the hundreds digit of -1*(-1)/(-5) + 14326/130?
1
Suppose -f + 3 + 3 = 0. Suppose 4*q = 2*a - 0*a - 16, f = -2*q. What is the units digit of a/(-3) - (-46)/6?
7
Suppose 9 = -x - 1. Let h = 18 + x. Suppose 5*l = -h + 28. What is the units digit of l?
4
Let v = -35 + 52. Suppose 3*j - 12 = -o + 4*j, o + 4*j - v = 0. What is the units digit of o?
3
Let u(c) = 2*c - 10. Let n be 8/(-6)*15/(-2). What is the tens digit of u(n)?
1
Let i(z) = -z**3 - 3*z**2 - 2*z - 5. Suppose 4*o + 12 = o. What is the tens digit of i(o)?
1
Let d = -110 + 140. What is the units digit of d?
0
Let u(z) be the third derivative of z**6/720 + z**5/40 - z**4/12 - 2*z**2. Let g(i) be the second derivative of u(i). What is the units digit of g(5)?
8
Suppose 0 = z + 2*a - 22, a - 50 = -3*z - a. Suppose -5*d - r - r = -z, 14 = 3*d + 4*r. Suppose 10 = 2*f, -4*f + 6 + 34 = d*h. What is the tens digit of h?
1
Let c(x) = -x**3 + 5*x
|
{
"pile_set_name": "DM Mathematics"
}
|
396037847.
396037847
What are the prime factors of 2074538550?
2, 3, 5, 7, 1975751
List the prime factors of 2079080445.
3, 5, 13, 3011, 3541
What are the prime factors of 64912688?
2, 4057043
List the prime factors of 482367003.
3, 19, 8462579
List the prime factors of 1713941474.
2, 7, 19, 6443389
What are the prime factors of 77136551?
77136551
List the prime factors of 1482148726.
2, 741074363
What are the prime factors of 60267243?
3, 20089081
What are the prime factors of 292824038?
2, 13, 131, 149, 577
List the prime factors of 255253931.
23, 11097997
What are the prime factors of 1709884432?
2, 106867777
List the prime factors of 1901428818.
2, 3, 17, 421, 44279
List the prime factors of 1014899616.
2, 3, 3523957
What are the prime factors of 95197083?
3, 31732361
What are the prime factors of 232840238?
2, 116420119
List the prime factors of 26039929.
2777, 9377
What are the prime factors of 3640358640?
2, 3, 5, 15168161
What are the prime factors of 2145298943?
2145298943
List the prime factors of 538958015.
5, 107791603
What are the prime factors of 36162879?
3, 12054293
List the prime factors of 1232223494.
2, 2689, 229123
List the prime factors of 54374759.
109, 223, 2237
List the prime factors of 979186783.
979186783
List the prime factors of 277430891.
137, 2025043
List the prime factors of 507984328.
2, 2791, 22751
List the prime factors of 15802032.
2, 3, 329209
What are the prime factors of 59449234?
2, 13, 67, 34127
List the prime factors of 3719145722.
2, 61, 113, 349, 773
What are the prime factors of 1832141475?
3, 5, 23, 354037
List the prime factors of 623208844.
2, 229, 2971
List the prime factors of 5406182226.
2, 3, 6857, 43801
What are the prime factors of 864287874?
2, 3, 31, 43, 12007
What are the prime factors of 64459988?
2, 17, 479, 1979
What are the prime factors of 1787308559?
53, 33722803
List the prime factors of 1145648147.
7, 23, 139, 51193
What are the prime factors of 185308003?
185308003
What are the prime factors of 36443384?
2, 263, 17321
What are the prime factors of 1699707822?
2, 3, 12457, 22741
What are the prime factors of 514839328?
2, 1871, 8599
What are the prime factors of 558262769?
19, 541, 54311
What are the prime factors of 72443790?
2, 3, 5, 23, 79, 443
What are the prime factors of 44081104?
2, 367, 7507
List the prime factors of 1905241094.
2, 952620547
What are the prime factors of 199161552?
2, 3, 43, 96493
List the prime factors of 2606886028.
2, 197, 503, 6577
List the prime factors of 188748303.
3, 4271, 14731
What are the prime factors of 127555862?
2, 7, 17, 29, 18481
What are the prime factors of 1055450241?
3, 157, 746957
What are the prime factors of 22178373?
3, 7, 1056113
What are the prime factors of 49228622?
2, 1487, 16553
What are the prime factors of 49480276?
2, 41, 73, 4133
List the prime factors of 114396558.
2, 3, 19066093
List the prime factors of 426878244.
2, 3, 13, 19, 61, 787
List the prime factors of 139065706.
2, 13, 31649
List the prime factors of 62000810.
2, 5, 6200081
List the prime factors of 524367027.
3, 353, 6113
What are the prime factors of 29604378?
2, 3, 17, 41, 7079
What are the prime factors of 898172425?
5, 23, 89, 17551
List the prime factors of 89810535.
3, 5, 29, 206461
What are the prime factors of 105944601?
3, 7, 23, 401, 547
List the prime factors of 37434971.
7, 337, 2267
What are the prime factors of 88492664?
2, 13, 850891
What are the prime factors of 14431311?
3, 181, 2953
List the prime factors of 2141587019.
11, 13, 17, 880949
What are the prime factors of 755256426?
2, 3, 125876071
List the prime factors of 91739138.
2, 45869569
List the prime factors of 90554132.
2, 113, 200341
List the prime factors of 215205751.
31, 6942121
List the prime factors of 19156459.
7, 2736637
What are the prime factors of 458163946?
2, 229081973
List the prime factors of 1861145354.
2, 29, 83, 386611
What are the prime factors of 660161360?
2, 5, 8252017
List the prime factors of 151520750.
2, 5, 606083
List the prime factors of 1419407734.
2, 53, 83, 161333
What are the prime factors of 46104606?
2, 3, 29, 59, 499
What are the prime factors of 2400980405?
5, 480196081
What are the prime factors of 104692239?
3, 17, 31, 22073
What are the prime factors of 93324472?
2, 641, 18199
What are the prime factors of 163565946?
2, 3, 19, 159421
List the prime factors of 411839656.
2, 23, 2238259
List the prime factors of 2978501551.
1063, 2801977
What are the prime factors of 30698400?
2, 3, 5, 12791
List the prime factors of 21050062.
2, 11, 19, 50359
What are the prime factors of 38095601?
41, 929161
What are the prime factors of 1471546590?
2, 3, 5, 53, 925501
List the prime factors of 4801625787.
3, 7, 29, 160907
List the prime factors of 16577892.
2, 3, 153499
What are the prime factors of 19121106?
2, 3, 19, 167729
List the prime factors of 167764653.
3, 7, 17, 31, 163
What are the prime factors of 80444492?
2, 29, 693487
What are the prime factors of 279295561?
279295561
List the prime factors of 90578334.
2, 3, 7, 11, 59, 3323
What are the prime factors of 5969316485?
5, 11, 41, 353, 7499
What are the prime factors of 3152304239?
7, 67, 6721331
What are the prime factors of 5471996305?
5, 1094399261
What are the prime factors of 49211054?
2, 24605527
What are the prime factors of 34678348?
2, 491, 17657
What are the prime factors of 1765119?
3, 19, 173, 179
What are the prime factors of 5969971?
7, 19, 44887
What are the prime factors of 2402354210?
2, 5, 463, 518867
List the prime factors of 178740818.
2, 79, 1131271
What are the prime factors of 52428026?
2, 7, 179, 20921
List the prime factors of 23645274.
2, 3, 41, 277, 347
What are the prime factors of 785
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(1280) + (sqrt(720) + -1*sqrt(720))**2 - (1 + sqrt(320) + -1)**2)*-1.
-32*sqrt(5) + 320
Simplify 3*6*(-1 + -2 + sqrt(99))**2*4*2.
-2592*sqrt(11) + 15552
Simplify -5 + sqrt(192) + 6*(sqrt(192) + -2) + ((sqrt(120) - 1*sqrt(120))/sqrt(10))/(sqrt(484) + (sqrt(484)*2 - sqrt(484))).
-17 + 56*sqrt(3)
Simplify ((sqrt(66) - 3*(sqrt(66) + 1*sqrt(66) + sqrt(66))) + 5*(-2*sqrt(66) + sqrt(66)))/(4*5*2*sqrt(6)).
-13*sqrt(11)/40
Simplify ((-4*sqrt(240)*-4)/sqrt(12) + -3)**2.
-192*sqrt(5) + 5129
Simplify ((sqrt(18))**2 + -3 - (1*(sqrt(2) + 0))**2) + sqrt(10)/(6*2*sqrt(5)).
sqrt(2)/12 + 13
Simplify ((sqrt(325) + (sqrt(325) - -4*-2*sqrt(325)) + 2 + -1)*-5)**2.
-1500*sqrt(13) + 292525
Simplify (sqrt(384) + 1*(sqrt(384) + (-1*sqrt(384) - sqrt(384))))/(2*sqrt(300) + (sqrt(12) + sqrt(108))*2).
0
Simplify -5*(sqrt(76)/sqrt(4) - sqrt(19)) + (-1*sqrt(228))/sqrt(12) - (1 + (sqrt(57)/sqrt(3))**2 + 6*(1 + sqrt(19))).
-7*sqrt(19) - 26
Simplify (2*(-4*(sqrt(153) - sqrt(17)) + sqrt(17) + -3) + 3)*3.
-42*sqrt(17) - 9
Simplify (2*(1 + sqrt(1700) + 5 + -2) + 5)*-1.
-20*sqrt(17) - 13
Simplify -1*((5*-1*(sqrt(136) + sqrt(136)*-1 + sqrt(136)))/(sqrt(512) + sqrt(512)*-2*-2))**2.
-17/64
Simplify 3*((sqrt(176))**2 - sqrt(11))*-2 - (sqrt(176) + (3*sqrt(176))**2 + 2).
-2642 + 2*sqrt(11)
Simplify -4*-2*(sqrt(100)/(sqrt(25)/sqrt(5)))/(2*sqrt(10)*2).
2*sqrt(2)
Simplify (-4*sqrt(270)/sqrt(6))/(sqrt(9) - (sqrt(1296) - sqrt(9)))*6.
12*sqrt(5)/5
Simplify (sqrt(11) - sqrt(22)/(sqrt(2)*2)) + 6*(sqrt(11) + -1) - sqrt(88)/sqrt(128)*-5.
-6 + 31*sqrt(11)/4
Simplify -2 + -5*(2*sqrt(325) + (sqrt(13) - (sqrt(130)*-2 - sqrt(130))/sqrt(10)) + 0)**2.
-12742
Simplify (-5 + (5 + (sqrt(5) - sqrt(20)/sqrt(4) - sqrt(5) - sqrt(5)) + sqrt(180)*3 + -1)*-5)**2.
4000*sqrt(5) + 32625
Simplify -4 + (2 + (1*sqrt(19))**2 + -3 + (-4 + -4*sqrt(38)/sqrt(2))**2)*1.
32*sqrt(19) + 334
Simplify 0 + sqrt(128) + sqrt(128) + (-2*(sqrt(128) + (sqrt(128) - (sqrt(128) + 2)) + sqrt(128)))**2 + 2.
-240*sqrt(2) + 2066
Simplify -3*((sqrt(34)/sqrt(2)*3 + (sqrt(204)/sqrt(6))/sqrt(2))**2 + 3).
-825
Simplify (sqrt(468) + 1*(2 + sqrt(468)))*-1 + 2 + ((-1*sqrt(91)*4 - sqrt(91) - sqrt(91))/sqrt(7))**2.
-12*sqrt(13) + 468
Simplify (sqrt(16) - (sqrt(64)*-3 + sqrt(64)))/((sqrt(16)*2)/sqrt(2)).
5*sqrt(2)/2
Simplify 4 + (sqrt(200) + (0 + sqrt(200))*3 + sqrt(200) - sqrt(200) - (sqrt(200)*-1*-5 - sqrt(200))).
4
Simplify 3*(((sqrt(132) - 2*sqrt(132))/sqrt(3))/(sqrt(4) + sqrt(4) + (1*sqrt(40))/sqrt(10)) + 5)**2.
-10*sqrt(11) + 236/3
Simplify (sqrt(75)*2)**2*-3*-2 + (sqrt(18)/sqrt(3)*4 + sqrt(6))/(5*sqrt(32)).
sqrt(3)/4 + 1800
Simplify (-5 + sqrt(468) + (sqrt(468) - (0 + sqrt(468) + sqrt(468) + 3)) + -4 + 2)**2.
100
Simplify (-1*-1*sqrt(38) + -5*(sqrt(38) - sqrt(608)))/(sqrt(4)/(sqrt(160)/sqrt(5))).
64*sqrt(19)
Simplify (4*(((sqrt(147) + -1)*-6 - sqrt(147)) + sqrt(147))*-3)**2*6.
-435456*sqrt(3) + 4603392
Simplify (sqrt(143) + (sqrt(143)*-1 - sqrt(143))*-1 + sqrt(143)*2*1)/(sqrt(132)/((sqrt(144) - (sqrt(144) - sqrt(144)*2))/sqrt(12))).
10*sqrt(13)
Simplify 4*(-2 + ((sqrt(931) + 1*(2 + sqrt(931)))*-6)**2 + 4).
8064*sqrt(19) + 536840
Simplify sqrt(77)/(-1*sqrt(11)*2)*4 + -3.
-2*sqrt(7) - 3
Simplify (5*(sqrt(5) + -1 - sqrt(5)) - -1*sqrt(180))**2 - (3 + sqrt(180)/sqrt(4)).
-63*sqrt(5) + 202
Simplify ((sqrt(117) + -2*sqrt(117))*3 + (-3 + sqrt(117) + 0 + sqrt(117))**2)*-3.
-1431 + 135*sqrt(13)
Simplify (sqrt(35)/sqrt(252) - (0 + sqrt(5)*-2) - (4*(sqrt(180) + -1 + sqrt(180)) + -5))**2.
-825*sqrt(5) + 381041/36
Simplify (sqrt(1377) + (-4 + sqrt(1377)*1 + sqrt(1377) - sqrt(1377)) - (2 + 0 + sqrt(1377) + sqrt(1377)))**2*3.
108
Simplify (sqrt(264)/(-1*(sqrt(24)/sqrt(2) + sqrt(12)) - sqrt(12)))/(-2*sqrt(2)*6*-5).
-sqrt(11)/180
Simplify (((-3*-1*sqrt(1250) - sqrt(1250)) + sqrt(1250) - ((sqrt(1250) - (-1 + sqrt(1250))) + 5))*1)**2*-2.
-22572 + 1800*sqrt(2)
Simplify ((sqrt(66) - (-4*(sqrt(66) - (sqrt(66) + sqrt(66)*4 - sqrt(66))) + sqrt(66) - sqrt(66))) + sqrt(66))/(sqrt(378)/sqrt(7)) + 5.
-10*sqrt(11)/3 + 5
Simplify (-5*(4 + (0 + sqrt(343) - sqrt(343)) + 3 + sqrt(343))*-1)**2.
2450*sqrt(7) + 9800
Simplify ((6*2*sqrt(6))/(2*sqrt(27)) - -6*4*sqrt(18)*5)**2.
262088
Simplify sqrt(117)*-2 - 2*sqrt(117) - (6*(sqrt(52))**2 + -4).
-308 - 12*sqrt(13)
Simplify (2*(sqrt(99) + sqrt(99)*5 + -5 - sqrt(99)) - (-3*(sqrt(99) + 1) + 2*-1*sqrt(99)))**2.
-630*sqrt(11) + 22324
Simplify 2*(-4 + sqrt(3)*-1 - sqrt(30)/sqrt(90)) - (-1 + (sqrt(300)*-2*-5)**2).
-3
|
{
"pile_set_name": "DM Mathematics"
}
|
*v**2 - 3*v - 1. Let w be y(-3). Suppose n = z + 3 - w, 2 = -4*n - 5*z. Let q = n + 10. Is 4 a factor of q?
False
Let g be 4/12 - (-15)/9. Suppose -5*t + 5*d + 105 = 0, g*t - 45 = 2*d + d. Is t a multiple of 6?
True
Suppose 5*r - 5*o - 20 = 0, o + 0 = -r - 4. Let i(b) = -b**2 + 48. Does 22 divide i(r)?
False
Suppose -3*z = -0*z. Suppose -4*b + 4*m - 4 - 4 = z, 4*b + 2*m = -2. Is (-10)/b*(1 - -1) a multiple of 10?
True
Let n be 664/(-22) + (-6)/(-33). Let b = -10 - n. Does 20 divide b?
True
Suppose -q = -2*j - 3*q + 32, -2*j + 28 = 4*q. Does 6 divide j?
True
Suppose 0*g - 12 = -4*g. Suppose -g*k + 6*k = 66. Does 22 divide k?
True
Let c(g) = g**2 - 5*g + 14. Does 9 divide c(7)?
False
Let m(i) = i**2 + 9*i. Let y be m(-9). Suppose -3*j + 60 = -y*j. Is 10 a factor of j?
True
Suppose 0 = 2*c + 653 - 93. Let s = 541 + c. Is (-4)/6 - s/(-27) a multiple of 5?
False
Let t(u) = -8*u + 9. Is 7 a factor of t(-5)?
True
Suppose 0*l + 2*l = -22. Let n(v) = -v - 5. Is n(l) a multiple of 3?
True
Let j = 7 - 0. Let q(x) = -x**2 + 3*x + 12. Let v(i) = -3*i**2 + 9*i + 37. Let l(z) = -7*q(z) + 2*v(z). Is l(j) a multiple of 9?
True
Suppose 8*k - 12*k + 716 = 0. Does 34 divide k?
False
Let r(u) be the second derivative of u**5/20 + 5*u**4/12 - u**3/6 - 7*u**2/2 - 3*u. Let w be r(-5). Let v(g) = 5*g**2 + 2*g. Is v(w) a multiple of 16?
True
Suppose -d - 1 + 21 = 0. Let n be ((-3)/5)/((-4)/d). Suppose 0 = -3*b - n*p + p + 30, 4*p = b + 4. Does 5 divide b?
False
Let q(x) = x**3 + 7*x**2 + 2*x - 7. Suppose -5 - 1 = -r. Let b be r*(3/3)/(-1). Does 15 divide q(b)?
False
Let i = 6 - 5. Let c be i/(-1*(-3)/(-12)). Let k(d) = d**2 - 2*d - 4. Does 10 divide k(c)?
True
Let f(l) = 4*l - 2. Let i be f(3). Let s be (i/(-3))/(3/(-9)). Suppose -5*q + s + 75 = 5*t, -q + 4 = 0. Does 13 divide t?
True
Let k = 744 + -439. Is k a multiple of 18?
False
Let m = -89 + 131. Is m a multiple of 14?
True
Let d(x) = -x**3 + x**2 - 3*x - 1. Is 10 a factor of d(-2)?
False
Let a(v) = 3*v - 6. Let g be (-7)/((-7)/6) - -1. Let k be a(g). Is 4 a factor of (-1)/(-5) - (-117)/k?
True
Suppose -2*t - 1 = n + 7, -5*t - 20 = 5*n. Does 28 divide t/(24/(-237))*2?
False
Suppose 7*v = 3*v - 244. Let z = -29 - v. Is 8 a factor of z?
True
Suppose 0 = 3*g - 10*g + 1351. Is 33 a factor of g?
False
Let c(h) = -h**2 - 8*h + 11. Let q(d) = 10*d + 1. Let l be q(-1). Let f be c(l). Suppose 7 = f*o - 3. Is 3 a factor of o?
False
Let s be (-8)/(-3)*(-39)/(-4). Suppose 4*t + s = -5*a, -3*t + 5*a + 0 = 2. Is 16 a factor of (0 - 25/4)*t?
False
Let p = -12 + -12. Does 4 divide 2/12 + (-92)/p?
True
Let w be -1 + (4 - 3) + 624. Does 13 divide w/(-4)*(-5)/10?
True
Does 8 divide (32/28 - 2)*-28?
True
Let f be (5 - 5) + (-218)/2. Let c = 166 + f. Is c a multiple of 20?
False
Let a = 75 - 13. Does 13 divide a?
False
Suppose 4*t - 5*j - 17 = 118, -5*t + 5*j = -170. Is t a multiple of 7?
True
Suppose -5*x = -2*m - 2 - 135, -5*x = -m - 136. Is 9 a factor of x?
True
Let g = -14 + 123. Is 5 a factor of g?
False
Suppose 0 = j + 7 - 12. Suppose j = m - 9. Is m a multiple of 5?
False
Is 16 a factor of (3/(-3) - 0)*-168?
False
Suppose -m + 4*m = 63. Does 7 divide m?
True
Suppose -7*a + 584 = -200. Is 14 a factor of a?
True
Let d = -5 + 2. Is 20 a factor of 25/(d/12*-4)?
False
Let u = 2 + -2. Is (-6 - u)*-2 - -1 a multiple of 13?
True
Suppose -3*w = 6 - 0, -w = -4*b + 46. Suppose 2*q - 17 = -3*i, -q = i + i - b. Suppose -5*f = -q - 4, -f = 5*u - 61. Does 12 divide u?
True
Let q(s) = -3*s + 2. Does 5 divide q(-19)?
False
Suppose 4*q + 4*s + s = -46, -2*q - 3*s - 22 = 0. Suppose 3*r - 6 = 3*b, r = -2*b + 4*r + 1. Is 17 a factor of ((-30)/b)/((-2)/q)?
False
Suppose 15*l = 4*l + 792. Does 5 divide l?
False
Suppose o = 3*o - 108. Is o a multiple of 13?
False
Let w(s) be the first derivative of -s**3/3 + s**2/2 - 2. Let n(r) = -5*r**2 + 4*r + 2. Let f(q) = -n(q) + 2*w(q). Is f(-2) a multiple of 5?
False
Let u be (-76)/(-28) + 2/7. Suppose -12 = -2*t - 2*i + 2, 5*t - u*i = 35. Suppose g - t + 2 = 0. Is 2 a factor of g?
False
Let x(o) = -o**3 + 9*o**2 - 6*o + 11. Is 4 a factor of x(8)?
False
Suppose -2440 = -10*n + 1030. Is n a multiple of 28?
False
Suppose 3*l = -5*i - 192 + 777, 370 = 3*i - 2*l. Is i a multiple of 15?
True
Suppose 0 = 3*s - 13 - 2. Suppose -2*p = -s*a + 15, -4 + 1 = -3*p - a. Is 8/(-4) + (p - -28) a multiple of 11?
False
Let g(d) = d**3 - 9*d**2 + 12*d - 12. Is g(9) a multiple of 6?
True
Does 11 divide (-14 + 16)*(-31)/(-1)?
False
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
16*n**3 - 12 - 141*n**2 wrt n?
72*n**2
Let h(a) = -a + 4. Let q(f) = -f**3 + f**2 + 3*f - 2. Let t be q(2). Let w be h(t). What is the derivative of w*b - 2 + 3 + 3 - 6 wrt b?
4
What is the second derivative of 14*y + 21*y - 46*y + 16*y - 18*y**2 wrt y?
-36
Let h(v) be the second derivative of -v**7/504 + v**6/90 - v**4/12 - 4*v. Let m(j) be the third derivative of h(j). What is the second derivative of m(b) wrt b?
-10
Let u(d) be the second derivative of 9*d**7/14 - d**4/6 - 11*d. Find the third derivative of u(t) wrt t.
1620*t**2
Let k(p) be the first derivative of 2*p**7/7 - 2*p**3 + 1. What is the third derivative of k(j) wrt j?
240*j**3
Let m(g) = -56*g**4 - 4*g**2 - 3*g + 2. Let s(q) = 55*q**4 + 5*q**2 + 4*q - 3. Let f(n) = -5*m(n) - 4*s(n). Find the second derivative of f(v) wrt v.
720*v**2
Let a(s) be the second derivative of -s**8/6720 + s**5/30 + 5*s**4/12 - 2*s. Let b(h) be the third derivative of a(h). Differentiate b(g) with respect to g.
-3*g**2
Let g(x) be the second derivative of -7*x**6/120 + x**5/10 - 7*x**2/2 - 2*x. Let q(a) be the first derivative of g(a). Find the third derivative of q(b) wrt b.
-42
Differentiate -11*f - 3*f**2 + 3 + 11*f wrt f.
-6*f
Let y(c) = 13*c**3 + 42*c**2 + 11*c - 11. Let s(f) = 7*f**3 + 21*f**2 + 6*f - 6. Let u(p) = 11*s(p) - 6*y(p). What is the third derivative of u(l) wrt l?
-6
Let o = 0 + 2. Find the third derivative of 0*d + d**2 + o*d - d**3 - 2*d wrt d.
-6
What is the derivative of -3*w - 5 + 3*w + 3 + 3*w**2 wrt w?
6*w
Let i(k) be the second derivative of 0*k**3 + 0*k**2 - 1/6*k**4 + 0 + k + 1/5*k**5. Find the third derivative of i(m) wrt m.
24
Let p(d) be the first derivative of -d**7/70 - d**4/24 - 3*d**2/2 - 2. Let o(l) be the second derivative of p(l). What is the second derivative of o(a) wrt a?
-36*a**2
Let c(m) be the first derivative of m**5/4 + m**4/12 + 3*m - 1. Let r(w) be the first derivative of c(w). What is the third derivative of r(b) wrt b?
30
Let j be -2 + (7 - (-1 + 2)). Find the third derivative of -x**4 + 0*x**4 + 4*x**6 + x**j - 3*x**2 wrt x.
480*x**3
Let s(l) be the third derivative of 0*l**5 - 1/210*l**7 - 2*l**2 + 0 + 0*l + 0*l**6 + 0*l**3 - 1/24*l**4. What is the second derivative of s(d) wrt d?
-12*d**2
Let g(w) = -w**2 - 6*w - 1. Let m(c) be the first derivative of c**3/3 + 7*c**2/2 + c - 2. Let z(d) = -7*g(d) - 6*m(d). What is the derivative of z(r) wrt r?
2*r
Let f(p) = 3*p**3 - 4*p**2 + 1. Let h(u) = 10*u**3 - 11*u**2 + 4. Let b = 15 - 11. Let g(y) = b*h(y) - 11*f(y). Differentiate g(w) wrt w.
21*w**2
Let g(v) = 4*v**4 - 3*v**3 + 9*v**2 + 10*v - 14. Let s(y) = y**4 + y**3 - y**2 - 2*y + 1. Let d(j) = -g(j) - 5*s(j). What is the third derivative of d(t) wrt t?
-216*t - 12
Let d(b) = 11*b**3 + 2*b**2 + 24. Let q(x) = -56*x**3 - 11*x**2 - 120. Let w(o) = 11*d(o) + 2*q(o). Differentiate w(f) wrt f.
27*f**2
Let w(j) be the first derivative of -j**4/24 + j**3/6 + j**2/2 - 2. Let u(r) be the second derivative of w(r). Find the first derivative of u(a) wrt a.
-1
Let t(j) be the second derivative of 7*j**4/12 + 8*j**3/3 + j. Find the second derivative of t(o) wrt o.
14
Let s(h) = h**4 - 7*h**3 + h. Let d(z) = 2*z**3. Let p(t) = t**2. Let v be p(-2). Let o(f) = v*s(f) + 14*d(f). What is the second derivative of o(j) wrt j?
48*j**2
Let t(k) = -4 - 3*k**3 - 3*k**4 + k**3 - 2*k**3 - k**3 + 5*k. Let n(p) = -4*p**4 - 8*p**3 + 8*p - 6. Let v(m) = 5*n(m) - 8*t(m). Differentiate v(w) wrt w.
16*w**3
Let o = -6 + 15. Suppose 1 + o = 5*t. What is the derivative of 5 - t - b + 0*b + 2*b wrt b?
1
What is the third derivative of -7*i**2 + 0*i**3 + 6*i**3 - 5*i**3 wrt i?
6
Let b(z) = z**3 - z**2 - 2*z + 3. Let s be b(2). Find the first derivative of -5*n**3 + 0 + 8*n**s + 2 wrt n.
9*n**2
Let f(p) be the third derivative of -p**8/42 + 7*p**5/60 - 8*p**2. What is the third derivative of f(x) wrt x?
-480*x**2
Let j(g) be the second derivative of -g**6/10 + 7*g**2/2 - 3*g. Differentiate j(i) wrt i.
-12*i**3
Let k(j) be the first derivative of -3*j**2/2 + 2*j - 4. Differentiate k(y) wrt y.
-3
Suppose -2*d = -4*i + 8*i - 6, -4*d - 18 = -2*i. Let v be (d/(-2) - 0)*2. What is the second derivative of 2*h - h - 2*h + v*h + 3*h**2 wrt h?
6
What is the second derivative of 3*o**4 - 6*o + 5*o + 6*o**2 - 13 - 12 + 2*o wrt o?
36*o**2 + 12
Let q(i) be the second derivative of i**5/5 - 29*i**2/2 + 35*i. What is the derivative of q(u) wrt u?
12
|
{
"pile_set_name": "DM Mathematics"
}
|
x be g(-150). Factor 160/3*j - 2*j**x + 0 - 2/3*j**4 + 16*j**2.
-2*j*(j - 5)*(j + 4)**2/3
Let b be 2/(-4 + 2)*(-10 + 65). Let h(q) = 2*q + 114. Let k be h(b). Factor 1/5*g**3 - 3/5*g**2 - 2/5 - g + 1/5*g**k.
(g - 2)*(g + 1)**3/5
Factor -43*l**4 + 8*l**3 + 6*l**5 + 19*l**4 + 32*l**5 - 56*l**4 + 0*l**5.
2*l**3*(l - 2)*(19*l - 2)
Suppose 15*n + 224 = 254. Let s be (-1)/(-4) - 66/(-56). Determine k, given that 2/7 + s*k**3 + 22/7*k**2 + n*k = 0.
-1, -1/5
Let o(w) be the third derivative of -18*w**2 + 0*w**5 + 0*w + 0 + 1/3420*w**6 + 0*w**4 - 1/3*w**3. Let g(y) be the first derivative of o(y). Factor g(q).
2*q**2/19
Let c = 283730 - 3688480/13. Suppose -48/13 - c*k + 2/13*k**2 = 0. Calculate k.
-3, 8
Let q(l) be the first derivative of -2*l**3/57 - 17*l**2/19 + 168*l/19 - 10564. Factor q(p).
-2*(p - 4)*(p + 21)/19
Let g(w) be the third derivative of -w**5/120 + 5*w**4/16 - 3*w**3 - 1132*w**2. Find p, given that g(p) = 0.
3, 12
Let i = 3/10235 - -10211/81880. Let g(v) be the first derivative of 0*v + i*v**3 - 45 - 3/4*v**2. Factor g(b).
3*b*(b - 4)/8
Let j(z) = -5*z**4 + 2*z**3 + 12*z**2 - 21. Suppose -6 = -7*a + a. Let f(o) = o**4 + o**3 + o**2 - 1. Let u(w) = a*j(w) + 6*f(w). Factor u(d).
(d - 1)*(d + 3)**3
Suppose 0 = -7*n + 5*n + 8. Find r, given that 12*r**2 + 5*r**n + 410*r - 27 - 428*r - 2*r**4 - 4*r**4 + 2*r**3 = 0.
-3, -1, 3
Factor -45/2 + 1/4*z**2 - 9/4*z.
(z - 15)*(z + 6)/4
Suppose 0 = -134*q - 59*q - 65*q. Let x(l) be the third derivative of 18*l**2 + q*l + 0 - 1/20*l**5 + 1/2*l**4 - 2*l**3. Let x(o) = 0. What is o?
2
Let s(c) be the first derivative of -c**5/30 + 49*c**4/48 - c**3 - c**2 - 36*c - 98. Let x(b) be the second derivative of s(b). Factor x(i).
-(i - 12)*(4*i - 1)/2
Let n(t) be the second derivative of t**5/30 - 337*t**4/18 + 671*t**3/9 - 335*t**2/3 - 1688*t. Determine c so that n(c) = 0.
1, 335
Let n(d) be the third derivative of 1/72*d**4 + 98*d**2 - 1/180*d**5 + 0*d + 0 + 1/18*d**3 - 1/360*d**6. Determine v so that n(v) = 0.
-1, 1
Let r(d) be the second derivative of d**6/30 - 65*d**5/4 + 11663*d**4/4 - 1223743*d**3/6 - 1295029*d**2 + 2055*d. Factor r(y).
(y - 109)**3*(y + 2)
Let x(g) be the third derivative of g**6/480 + 5*g**5/6 - 67*g**4/32 + 101*g**2 - 3*g. Suppose x(o) = 0. Calculate o.
-201, 0, 1
Let 110/7*g**2 + 104/7*g + 2/7*g**3 - 216/7 = 0. What is g?
-54, -2, 1
Suppose 232 = 19*l - 14607. Let m be (l/(-77) - -2) + 11. Suppose -m*d + 8/7 - 4*d**2 = 0. What is d?
-1, 2/7
Let f(o) be the first derivative of -2/45*o**3 - 4/15*o - 24 + 1/5*o**2. Factor f(v).
-2*(v - 2)*(v - 1)/15
Let q(f) = 1233*f + 34524. Let j be q(-28). Determine c so that j + 6/5*c**2 - 6/5*c**4 + 0*c + 3/5*c**3 - 3/5*c**5 = 0.
-2, -1, 0, 1
Let r = -518 + 468. Let o be (-20)/r*25/15. Factor -o*g**2 - 4/3 - 2*g.
-2*(g + 1)*(g + 2)/3
Let p be 0 + (4 + (7 - 2) - 4). Let u(j) = 36*j**2 - 20*j - 6. Let l(z) = -37*z**2 + 18*z + 5. Let g(i) = p*u(i) + 6*l(i). Determine v, given that g(v) = 0.
0, 4/21
Let q(w) be the first derivative of w**4 + 88*w**3/3 - 480*w**2 - 1013. Find d such that q(d) = 0.
-30, 0, 8
Suppose -32*q + 1603 = 1539. Let l(g) be the second derivative of 0*g**q - 3/50*g**5 - 2/15*g**4 - 18*g + 0 + 4/15*g**3. Find j such that l(j) = 0.
-2, 0, 2/3
Suppose 0 = 13*u + 65 - 143. Factor -86 + 45*x + 22 + 38 + 26 - u*x**2.
-3*x*(2*x - 15)
Let w(h) be the second derivative of 2*h**5/15 + 5381*h**4/18 + 1807678*h**3/9 - 452929*h**2 + 4*h + 88. Solve w(l) = 0 for l.
-673, 3/4
Let t(f) = f**4 + f**3 - f**2 - f + 1. Let j(a) = 2*a**5 + 32*a**4 + 98*a**3 + 86*a**2 - 2*a + 2. Let v(q) = j(q) - 2*t(q). Suppose v(b) = 0. Calculate b.
-11, -2, 0
Factor 5/3*o - 2/3*o**2 - 1/3*o**3 + 2.
-(o - 2)*(o + 1)*(o + 3)/3
Let h(f) be the second derivative of -7*f**7/30 - 287*f**6/150 - 197*f**5/100 + 71*f**4/60 + f**3 + 3561*f. Determine m so that h(m) = 0.
-5, -1, -2/7, 0, 3/7
Let o(f) = f**4 + 48*f**3 - 285*f**2. Let v = 148 - 145. Let c(m) = 3*m**4 + 96*m**3 - 569*m**2. Let u(q) = v*c(q)
|
{
"pile_set_name": "DM Mathematics"
}
|
?
-3*p**2 - 2*p - 25
Let j(y) be the second derivative of 0 + 1/6*y**4 + y**2 + 5/6*y**3 - 20*y. Let x(l) = 6*l**2 + 14*l + 6. Determine 8*j(q) - 3*x(q).
-2*q**2 - 2*q - 2
Let y(u) = -5*u - 2 + 0 + 7 + 6*u**2. Let a be (3/(-6))/((-2)/32). Let z(q) = a*q + 7 + 3*q**2 - 4 - 11*q. Give 3*y(t) - 5*z(t).
3*t**2
Let m(p) = -2*p**3 + 3*p**2 - 28*p + 2. Let o(l) = -l**2 - l - 1. Determine m(s) + 4*o(s).
-2*s**3 - s**2 - 32*s - 2
Let c(g) = -8*g - 6*g + 2*g + 4*g. Let a(u) = -3*u + 2. Let d(x) = -39*x + 27. Let l(o) = -27*a(o) + 2*d(o). What is -2*c(s) - 7*l(s)?
-5*s
Let l(y) = 5*y + 4. Let t(i) = -13*i - 6. Let c(u) = 19*u + 8. Let h(s) = -5*c(s) - 8*t(s). Determine 6*h(q) - 11*l(q).
-q + 4
Let g(t) = 36*t + 15. Suppose -2*n = -5*c + 20, n + 24 = -3*c + 3. Let r(h) = -5*h - 2. Give n*r(l) - 2*g(l).
3*l
Let d(j) = -5*j + 4. Let s(q) = -q**3 + 6*q**2 + 7*q - 5. Let o be s(7). Let l(i) be the first derivative of -2*i**2 + 3*i - 23. Give o*d(x) + 6*l(x).
x - 2
Let l(v) = -4*v. Let f(h) = 3*h. Let n(s) = 6*s - 34. Let r be n(5). Suppose -2*c - 3*u = 17 + 5, 35 = -3*c - 5*u. What is c*f(i) + r*l(i)?
i
Let r(h) = -11*h + 13. Let o(u) be the first derivative of -2*u**2 + 4*u + 124. Determine -8*o(b) + 3*r(b).
-b + 7
Let i(s) = s**2 + s - 1. Let t(m) = -3*m + 3. Suppose -3*p = g - 2*p + 1, g - 2*p = 5. Suppose -8 + 2 = -2*y. Determine g*t(b) + y*i(b).
3*b**2
Let m(a) = 10*a**2 - 62. Let l(z) = -z**3 + 10*z**2 - 9*z + 12. Let r be l(9). Let q(j) = 4*j**2 - 25. What is r*q(f) - 5*m(f)?
-2*f**2 + 10
Let u(s) = 9*s**2 - 68*s + 28. Let v(p) = -p**2 - p - 7. Calculate -u(n) - 4*v(n).
-5*n**2 + 72*n
Let c(y) = -3*y + 2. Let n = -10 - -10. Suppose -9*u + 8*u - 3 = n. Let k(i) = 4*i - 3. Let g = 4 - 6. Give g*k(p) + u*c(p).
p
Let q(x) = 21*x**3 - 22*x**2 - 10*x + 624. Let c(k) = -4*k**3 + 4*k**2 + 2*k - 125. Give 11*c(o) + 2*q(o).
-2*o**3 + 2*o - 127
Let r(t) = 12*t. Let q(z) = 4*z - 14. Let n(m) = -m + 6. Let f(b) = -7*n(b) - 3*q(b). Calculate -10*f(j) - 5*r(j).
-10*j
Let p(y) = -169. Let b(o) = -o - 848. Give 2*b(q) - 11*p(q).
-2*q + 163
Let l(u) = 5*u**3 - 6*u**2 - 6*u + 7. Let t(v) = 6*v**3 - 7*v**2 - 6*v + 8. Calculate -7*l(q) + 6*t(q).
q**3 + 6*q - 1
Let b(g) = -5*g**3 - 3*g**2 + 3*g - 3. Let c(o) = 3*o**3 - o + 38*o**3 - 40*o**3 + o**2 + 1. Suppose -3 + 2 = -l. Give l*b(u) + 3*c(u).
-2*u**3
Let r(w) = 31565*w + 1003. Let g(p) = -189*p - 6. What is 1003*g(h) + 6*r(h)?
-177*h
Let w(h) = 7*h**3 - 9*h**2 - 9*h + 11. Let a(u) = 4*u**2 - 2*u**3 - 1 - 4 + 4*u - u**3. Give -9*a(v) - 4*w(v).
-v**3 + 1
Let l(p) = p**3 + p**2 - 1. Let f(m) = -33*m**3 - 6*m**2 - m + 3. Calculate f(g) + 5*l(g).
-28*g**3 - g**2 - g - 2
Let v(p) = -3. Let f(s) be the second derivative of s**3/6 - 2*s**2 - 9*s + 10. What is 3*f(j) - 3*v(j)?
3*j - 3
Let f(l) = l - 5. Let v(a) be the second derivative of a**3/6 - 2*a**2 - 179*a. Suppose -3*k + 6 = -3*o, -o + k - 23 = 3*o. Determine o*v(g) + 6*f(g).
-g - 2
Let p(i) = -i**2 - 3*i + 1. Let b(w) = -57*w**2 + 63*w - 21. Determine 5*b(k) + 105*p(k).
-390*k**2
Let j(v) = -v + 1. Let r(z) = -2*z**2 - 3*z + 4. Suppose -t + 2*q = t - 12, 26 = t - 5*q. Give t*r(n) - 4*j(n).
-2*n**2 + n
Let r(w) = 2*w**2 + 1. Let i(n) = n + 1. Suppose 2*y + 1 = -2*y + b, 0 = -5*y + 5*b + 10. Determine y*r(k) + 2*i(k).
-2*k**2 + 2*k + 1
Let i(b) = -2*b + b + b**3 - 3*b**2 + 7 - 6. Let t be i(3). Let x(n) = -4*n + 1. Let f(s) = 5*s - 8*s - 2*s. Give t*f(q) + 3*x(q).
-2*q + 3
Let f(l) = -l + 3*l + 0 - 2. Let b(j) = 29 + 26 + 29 - 83. Calculate -5*b(g) - f(g).
-2*g - 3
Let u(o) = 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-3) + 2/t. Suppose -4*x = -x - 18. Solve 0 = v*u - a - 8, -4*u - x*a + 18 = -a for u.
2
Suppose -28*b + 224 = 28*b. Solve 0 = -5*l + b*r - 41, -17*r + 12*r = 5*l + 5 for l.
-5
Let x(i) = -3*i - 43. Let s be x(-16). Let c(h) = -44*h + 223. Let b be c(s). Solve -3*z - 4 = 4*k - 0, -b*k - 5*z - 3 = 0 for k.
-1
Suppose -115 - 4 = -11*w - 6*w. Solve 3 = q, 6*q + 3 = -4*j + w*q for j.
0
Let m(k) = 3*k + 49. Let o(f) = -f**2 + 3*f + 2. Let s be o(5). Let t be m(s). Solve -5*i - 2*a = -2*i - 11, 5*i = -5*a + t for i.
1
Let o = -3977 + 3996. Solve -n - 11 = 3*i, -5*i - n = o - 0 for i.
-4
Suppose -2866*x + 16 = -2858*x. Solve -22 = -x*m + 3*r, -3*r + 37 = 5*m - 6*r for m.
5
Suppose -3*c + 14 = p, -p + 6 = -c + 2*c. Let f be ((-30)/105)/(p/(-98)). Solve -x - f = -5*v, -2*v - 2*x = 1 - 9 for v.
3
Let p(h) = 6*h + h**3 - 1 - 5*h**2 - 8*h**2 + 6*h - 2. Let c be p(12). Let j be 16 + (-2 - 6/c). Solve -8 = -4*l - 5*z - 25, 0 = -5*l - z - j for l.
-3
Suppose 68*p + 63 = 89*p. Solve -2*z - 7 = 3*d + 3, p*d = 2*z + 10 for d.
0
Let m be 4/6*(4 - -2). Let f be (-23)/(-4) + -6 - (2 - 121/4). Solve 0 = 4*b + m*p + f, -3*p + 7 = -5*b - p for b.
-3
Suppose -2*v - 2*j + 44 + 162 = 0, v + 4*j - 112 = 0. Let m be v*6/156 - (-4)/26. Let t = -3 - -6. Solve -i - t*f + f = 13, 0 = m*i - 5*f - 13 for i.
-3
Let j be (-17 - 2075/(-100))/(3/4). Suppose 0 = 3*v + 15, -5 = -5*a + v + 30. Let y be (a/(-5))/((-1)/5). Solve -q + 4*w + j = 0, 2*w = -y*q + q + 25 for q.
5
Suppose u = -r - 7 + 9, 11 = 3*u - 2*r. Solve -10 = -2*s, -2*v - 19 = -u*v - 3*s for v.
4
Suppose -2*w + x + 3 = -5*w, -5*x = -2*w + 15. Suppose w*h = -4*h + 8. Suppose -z = -2*u + 12, 0 = -u - 5*z + 4*z. Solve -2*n = b - 11, h*b - u + 2 = n for n.
4
Let i be (136 - 121)/((-1)/4 + 39/12). Solve 2*o - i*c = 7, -3 = -4*o - 3*c - 2 for o.
1
Let l(b) be the third derivative of b**4/8 + 17*b**3/6 - 67*b**2. Let s be l(-5). Solve -2 = 2*m - 2*h + 8, -s*m - 14 = -4*h for m.
-3
Suppose -4*j - j + 91 = 2*j. Solve 11 = 4*u - 3*l, -u = 16*l - j*l + 1 for u.
2
Let n = -575 + 843. Let r = n - 263. Solve -3*c - 14 = 5*o, 0 = -2*o + o + r*c - 14 for o.
-4
Let y be 63/18*(-8352)/(-168). Solve 5*r + y*q + 45 = 179*q, 5*r - q = -25 for r.
-4
Let v(i) = 22*i + 1544. Let q be v(-70). Solve q*t + 4*u - 115 = -75, -2*t + 26 = 5*u for t.
8
Suppose 3*l - 43 = u, -32*l + 27*l - 5*u = -65. Solve -l*p + 18*p + 5*m = -15, 3*p - 15 = 5*m for p.
0
Let k be 32/16 + 1*-1. Suppose -l - 4*l = -2*m - 21, 0 = -3*l - 5*m - 6. Suppose -4*b - o = -l*o - 18, -2*o + 2 = 0. Solve s - 5 = n + k, 3*s - 22 = b*n for s.
4
Suppose 6*n - n = -2*c + 12, n + 3*c - 5 = 0. Let y(g) = 21 + 30*g**2 - 56*g**2 - 35*g + 28*g**n. Let f be y(17). Solve 6*a - a = -5*r - 5, -f*a + 16 = 0 for r.
-5
Let b(n) = -9*n - 36. Let x be b(-4). Suppose x = 16*d - 19*d + 18. Solve d*r = 4*r - 5*m - 13, 2*m + 10 = 4*r for r.
1
Let l be 34/(0 - 2 - (-3 - (-90)/126)). Solve -6 = f, -f + 105 = -2*p + l for p.
4
Suppose 7*t - 2*t + 4*c = 10, -2 = -t + c. Let l be 2/((-8)/8) - -3. Let m be ((3 - 2)*l)/((-13)/(-26)). Solve -v - t*v = -h + m, 5*v + 4 = 2*h for v.
0
Let x(p) = 6*p - 126. Let l be x(22). Let y be 19/((l + 0)*5/30). Solve -3*t + y = 3*b - 11, 0 = -3*b + 2*t + 5 for b.
5
Suppose -3*b - 5*s + 4 = 0, -5*b - 97*s = -100*s - 18. Solve 0 = 2*i - 2, -b*g + 2*i + 13 = 3 for g.
4
Let c(b) = -b**2 + 20*b + 262. Let i be (6/15)/((-874)/(-290) + -3). Let p be c(i). Solve l + p = -5*s, 2*l = -4*s - 0 - 2 for s.
0
Suppose 25*v = -19*v + 24*v. Solve -2*z + 3*r - 16 = v, 0 = -2*z + 5*r - 50 + 30 for z.
-5
Suppose 50 = 5*d - 100. Suppose -15 + d = 5*l. Solve -2*j + 14 = -3*u, -l*j + j - 5*u = 2 for j.
4
Let y be 3*-1 + 7 + 11. Suppose 5*b = 4*b. Suppose 5*m + 5*a = 5, m - 77*a + 76*a = 3. Solve -10 = m*j - 3*w - 1, -3*w + y = b for j.
3
Suppose -p = 4*j - 5*p - 52, -3*p + 9 = 3*j. Let d be (8 - j)/3 - -3. Solve -16 = -5*b - 4*o, 0*b + d*b
|
{
"pile_set_name": "DM Mathematics"
}
|
fourth root of 550072 to the nearest integer?
27
What is the square root of 4256565 to the nearest integer?
2063
What is the cube root of 552889 to the nearest integer?
82
What is the third root of 24126704 to the nearest integer?
289
What is the tenth root of 9166301 to the nearest integer?
5
What is the square root of 1281579 to the nearest integer?
1132
What is the square root of 466484 to the nearest integer?
683
What is 6421954 to the power of 1/7, to the nearest integer?
9
What is the square root of 34415311 to the nearest integer?
5866
What is 37343 to the power of 1/6, to the nearest integer?
6
What is the third root of 549558 to the nearest integer?
82
What is 1122981 to the power of 1/8, to the nearest integer?
6
What is the square root of 1816433 to the nearest integer?
1348
What is the seventh root of 1597851 to the nearest integer?
8
What is the ninth root of 656602 to the nearest integer?
4
What is the square root of 797020 to the nearest integer?
893
What is 1218453 to the power of 1/3, to the nearest integer?
107
What is the eighth root of 8835698 to the nearest integer?
7
What is 2301534 to the power of 1/3, to the nearest integer?
132
What is 20653980 to the power of 1/3, to the nearest integer?
274
What is 7343746 to the power of 1/2, to the nearest integer?
2710
What is 3638896 to the power of 1/6, to the nearest integer?
12
What is 818836 to the power of 1/2, to the nearest integer?
905
What is 5394957 to the power of 1/5, to the nearest integer?
22
What is 80585 to the power of 1/5, to the nearest integer?
10
What is 201177 to the power of 1/10, to the nearest integer?
3
What is the seventh root of 405503 to the nearest integer?
6
What is 1532211 to the power of 1/8, to the nearest integer?
6
What is 36754012 to the power of 1/7, to the nearest integer?
12
What is the square root of 706525 to the nearest integer?
841
What is 686324 to the power of 1/5, to the nearest integer?
15
What is the cube root of 688539 to the nearest integer?
88
What is the fifth root of 658411 to the nearest integer?
15
What is 15273283 to the power of 1/2, to the nearest integer?
3908
What is 10863800 to the power of 1/2, to the nearest integer?
3296
What is the square root of 7680650 to the nearest integer?
2771
What is 503237 to the power of 1/4, to the nearest integer?
27
What is 6079245 to the power of 1/5, to the nearest integer?
23
What is the fourth root of 257538 to the nearest integer?
23
What is the ninth root of 12460352 to the nearest integer?
6
What is 1568264 to the power of 1/2, to the nearest integer?
1252
What is the fifth root of 812254 to the nearest integer?
15
What is 47410 to the power of 1/7, to the nearest integer?
5
What is the cube root of 6509006 to the nearest integer?
187
What is the fourth root of 351200 to the nearest integer?
24
What is the eighth root of 42689 to the nearest integer?
4
What is the square root of 120302 to the nearest integer?
347
What is 182122 to the power of 1/10, to the nearest integer?
3
What is 90149 to the power of 1/4, to the nearest integer?
17
What is 1383825 to the power of 1/3, to the nearest integer?
111
What is 1944815 to the power of 1/3, to the nearest integer?
125
What is the square root of 171995 to the nearest integer?
415
What is the cube root of 1232577 to the nearest integer?
107
What is the square root of 287017 to the nearest integer?
536
What is 8951281 to the power of 1/2, to the nearest integer?
2992
What is the cube root of 8291692 to the nearest integer?
202
What is the cube root of 207344 to the nearest integer?
59
What is 105858 to the power of 1/8, to the nearest integer?
4
What is the square root of 95349 to the nearest integer?
309
What is 3259595 to the power of 1/2, to the nearest integer?
1805
What is 5162636 to the power of 1/2, to the nearest integer?
2272
What is 1166424 to the power of 1/3, to the nearest integer?
105
What is the fourth root of 997779 to the nearest integer?
32
What is the square root of 180945 to the nearest integer?
425
What is 2095777 to the power of 1/2, to the nearest integer?
1448
What is the fourth root of 2727781 to the nearest integer?
41
What is 766128 to the power of 1/4, to the nearest integer?
30
What is the cube root of 18930439 to the nearest integer?
267
What is 3267720 to the power of 1/7, to the nearest integer?
9
What is the square root of 1281499 to the nearest integer?
1132
What is the square root of 4007554 to the nearest integer?
2002
What is the sixth root of 14321764 to the nearest integer?
16
What is the ninth root of 3989452 to the nearest integer?
5
What is 957006 to the power of 1/3, to the nearest integer?
99
What is 13485583 to the power of 1/5, to the nearest integer?
27
What is the cube root of 230714 to the nearest integer?
61
What is the square root of 37133 to the nearest integer?
193
What is the third root of 853072 to the nearest integer?
95
What is the third root of 1657701 to the nearest integer?
118
What is 1090901 to the power of 1/3, to the nearest integer?
103
What is 11369915 to the power of 1/8, to the nearest integer?
8
What is 531848 to the power of 1/3, to the nearest integer?
81
What is 35942 to the power of 1/4, to the nearest integer?
14
What is the square root of 55851 to the nearest integer?
236
What is the square root of 5175808 to the nearest integer?
2275
What is the square root of 6780777 to the nearest integer?
2604
What is 57997 to the power of 1/7, to the nearest integer?
5
What is the third root of 5213422 to the nearest integer?
173
What is the square root of 260912 to the nearest integer?
511
What is the seventh root of 367437 to the nearest integer?
6
What is the square root of 609214 to the nearest integer?
781
What is the tenth root of 277548 to the nearest integer?
4
What is 192969 to the power of 1/7, to the nearest integer?
6
What is the third root of 7808201 to the nearest integer?
198
What is 615769 to the power of 1/2, to the nearest integer?
785
What is 12491341 to the power of 1/2, to the nearest integer?
3534
What is the square root of 3117749 to the nearest integer?
1766
What is the eighth root of 761743 to the nearest integer?
5
What is 39255 to the power of 1/2, to the nearest integer?
198
What is the ninth root of 3316802 to the nearest integer?
5
What is 692374 to the power of 1/2, to the nearest integer?
832
What is the third root of 7335162 to the nearest integer?
194
What is the eighth root of 2345699 to the nearest integer?
6
What is the third root of 5891199 to the nearest integer?
181
What is 4369820 to the power of 1/10, to the nearest integer?
5
What is 2190137 to the power of 1/5, to the nearest integer?
19
What is 9281507 to the power of 1/4, to the nearest integer?
55
What is the third root of 262961 to the nearest integer?
64
What is the third root of 14760053 to the nearest integer?
245
|
{
"pile_set_name": "DM Mathematics"
}
|
lculate prob of sequence ttw when three letters picked without replacement from {w: 2, t: 17}.
16/171
Two letters picked without replacement from gtggqrga. What is prob of sequence rt?
1/56
What is prob of sequence jjlw when four letters picked without replacement from lpjjmjllwbpm?
1/660
Four letters picked without replacement from sssssqnttqtsnssttsq. Give prob of sequence qntn.
5/15504
Calculate prob of sequence eqe when three letters picked without replacement from {g: 2, e: 2, q: 7, p: 2, b: 2}.
1/195
Calculate prob of sequence gyy when three letters picked without replacement from {y: 3, g: 1}.
1/4
Calculate prob of sequence ee when two letters picked without replacement from {i: 9, e: 11}.
11/38
Calculate prob of sequence lggu when four letters picked without replacement from {l: 3, r: 3, v: 1, u: 1, g: 2}.
1/840
What is prob of sequence ir when two letters picked without replacement from {f: 1, m: 4, k: 2, i: 3, r: 4}?
6/91
Four letters picked without replacement from {p: 5, j: 15}. What is prob of sequence jpjj?
455/3876
Four letters picked without replacement from upobugouuggk. What is prob of sequence okgo?
1/1980
Four letters picked without replacement from hvhvydhdvyv. Give prob of sequence dhyv.
1/165
Three letters picked without replacement from skxkskosksksksk. Give prob of sequence xks.
1/65
Two letters picked without replacement from {l: 2, c: 1, q: 1, t: 1, f: 2}. Give prob of sequence fc.
1/21
Four letters picked without replacement from dhddhddhhd. Give prob of sequence hhdh.
1/35
Two letters picked without replacement from fxafauxxuaxaxpuu. What is prob of sequence xf?
1/24
Calculate prob of sequence td when two letters picked without replacement from {p: 2, t: 10, d: 3}.
1/7
What is prob of sequence ie when two letters picked without replacement from ueuxeeuuxelutuuit?
1/68
Calculate prob of sequence pp when two letters picked without replacement from {p: 2, d: 1, e: 1, o: 2, y: 1}.
1/21
What is prob of sequence lmz when three letters picked without replacement from {m: 1, n: 1, l: 1, z: 12}?
2/455
Two letters picked without replacement from {k: 4, m: 2, n: 2, x: 4}. Give prob of sequence nk.
2/33
Calculate prob of sequence dpz when three letters picked without replacement from pdahfdz.
1/105
Calculate prob of sequence oxog when four letters picked without replacement from gggxgoxgoggg.
4/1485
Calculate prob of sequence be when two letters picked without replacement from {b: 17, e: 1, g: 1}.
17/342
What is prob of sequence xlfr when four letters picked without replacement from xfxllllllllllrx?
1/1092
Three letters picked without replacement from kqunz. Give prob of sequence qku.
1/60
Calculate prob of sequence ss when two letters picked without replacement from {m: 1, a: 1, h: 8, s: 6}.
1/8
What is prob of sequence vep when three letters picked without replacement from vqvvpppqeppvp?
2/143
Four letters picked without replacement from {n: 1, p: 5, a: 1, m: 11, f: 2}. Give prob of sequence ffpf.
0
Calculate prob of sequence jf when two letters picked without replacement from jfjfjjfzfjfffjf.
8/35
Two letters picked without replacement from {v: 3, u: 8}. Give prob of sequence uu.
28/55
Two letters picked without replacement from frfqfzymfrqqf. Give prob of sequence zf.
5/156
What is prob of sequence mgyg when four letters picked without replacement from {m: 3, i: 3, g: 5, k: 1, y: 7}?
35/7752
Four letters picked without replacement from {r: 2, e: 4, y: 1}. Give prob of sequence eryr.
1/105
What is prob of sequence lll when three letters picked without replacement from {z: 7, l: 9}?
3/20
Two letters picked without replacement from {u: 4, f: 13, o: 3}. What is prob of sequence fo?
39/380
Calculate prob of sequence ee when two letters picked without replacement from epepe.
3/10
Calculate prob of sequence teiy when four letters picked without replacement from {g: 2, i: 2, e: 1, t: 3, y: 9}.
9/9520
Two letters picked without replacement from {v: 17, i: 2}. Give prob of sequence vv.
136/171
Three letters picked without replacement from {g: 2, o: 3, v: 2, s: 4, j: 2, e: 2}. Give prob of sequence oeo.
2/455
Two letters picked without replacement from {v: 1, j: 10, g: 6}. What is prob of sequence jg?
15/68
Four letters picked without replacement from {z: 3, h: 1, g: 3, b: 2, j: 1}. What is prob of sequence bghg?
1/420
What is prob of sequence www when three letters picked without replacement from awwwwwwwwwwwwww?
4/5
Calculate prob of sequence xv when two letters picked without replacement from {f: 1, x: 1, r: 2, h: 1, v: 5}.
1/18
Two letters picked without replacement from ihihnfkkifihzknzhz. Give prob of sequence kn.
1/51
Calculate prob of sequence zb when two letters picked without replacement from rzbrz.
1/10
Two letters picked without replacement from {y: 1, n: 1, p: 3, c: 1, f: 6, x: 3}. What is prob of sequence cn?
1/210
Calculate prob of sequence yy when two letters picked without replacement from {r: 2, y: 4, f: 8, v: 1}.
2/35
Calculate prob of sequence bb when two letters picked without replacement from {c: 3, w: 4, b: 6, n: 1}.
15/91
Two letters picked without replacement from {f: 1, t: 3, n: 3, g: 3, c: 1}. Give prob of sequence gc.
3/110
What is prob of sequence kk when two letters picked without replacement from tokkkkktkoik?
7/22
Calculate prob of sequence djjd when four letters picked without replacement from {j: 2, d: 4, y: 1}.
1/35
Three letters picked without replacement from dudhhhhdqhqbduqdd. What is prob of sequence hhd?
1/34
Two letters picked without replacement from xiqixfi. What is prob of sequence ii?
1/7
Calculate prob of sequence ig when two letters picked without replacement from ftiiefeiiitttiffg.
3/136
Two letters picked without replacement from {q: 1, p: 1, f: 2, g: 2, a: 3, d: 3}. What is prob of sequence gp?
1/66
Calculate prob of sequence ueu when three letters picked without replacement from euube.
1/15
Three letters picked without replacement from ylbybyll. What is prob of sequence yly?
3/56
What is prob of sequence fm when two letters picked without replacement from {d: 1, c: 4, h: 2, r: 6, f: 2, m: 2}?
1/68
Four letters picked without replacement from ioiihhchphhiiphii. What is prob of sequence oppi?
1/4080
Three letters picked without replacement from hzadj. What is prob of sequence zad?
1/60
Two letters picked without replacement from {v: 2, n: 1, j: 1, c: 2, i: 1, p: 1}. What is prob of sequence ci?
1/28
Four letters picked without replacement from {j: 5, k: 1, l: 3}. What is prob of sequence lljl?
5/504
Two letters picked without replacement from caaaactmcaccgat. What is prob of sequence gt?
1/105
Calculate prob of sequence el when two letters picked without replacement from {e: 1, l: 2, o: 2, a: 6, i: 4, c: 2}.
1/136
|
{
"pile_set_name": "DM Mathematics"
}
|
and i?
13
Let j = -255 + 307. What is the highest common factor of j and 169?
13
Suppose -m - 80 = -4*l, 5*l - 14 - 77 = -m. Suppose 69*z = -2206 + 19037 + 212. Calculate the greatest common divisor of z and l.
19
Let x = 166 + 244. Let n(q) = -164*q - 6. Let a be n(-4). Let j = a - x. Calculate the greatest common divisor of 30 and j.
30
Suppose 928 = 6*b - 56. Let r = 167 - b. Suppose 0 = -5*h + 52 + 68. Calculate the highest common divisor of h and r.
3
Suppose -5*b = -8*t + 4*t - 309, 5*b - 329 = -t. Calculate the greatest common divisor of b and 5.
5
Let j = 231 + -185. What is the greatest common factor of 391 and j?
23
Let t(u) = u**2 - 2*u - 119. Let d be t(13). Calculate the highest common divisor of 228 and d.
12
Let k(d) = -d**2 + 10*d - 7. Let o be k(7). Let h be 224/6*315/84. Calculate the greatest common divisor of h and o.
14
Suppose -5*y = 25, 4*s - y - 393 + 36 = 0. Let g be (-2)/6*-33*1. Calculate the highest common factor of g and s.
11
Suppose o - 1 - 2 = 0. Suppose -120 = 8*h - o*h. Let a = -23 - h. What is the highest common factor of a and 1?
1
Suppose 6174 = 137*v + 1379. Calculate the highest common factor of v and 49.
7
Let q = 10 - 10. Let j(g) = -g + q + 3*g + g + 1. Let a be j(1). Calculate the highest common factor of 8 and a.
4
Let w = 786 - 688. What is the greatest common factor of 378 and w?
14
Suppose 0 = -2*t, 2*j = -t - t + 18. Let n be ((-2)/7)/(7/(-49)). Let o = n - -7. Calculate the highest common factor of o and j.
9
Let g be -1 + 1/(5/205). Let c = -11 - -19. What is the greatest common factor of c and g?
8
Let z be (-6)/4*(-8)/12. Let n be (2 + z)*13 + 1. Suppose 3*k + 2*u = 6*k - 36, 5*k = 2*u + 56. What is the highest common divisor of k and n?
10
Let a(m) be the third derivative of m**5/60 - 7*m**4/24 + 5*m**3/2 - 2*m**2. Let v be a(7). Calculate the greatest common factor of v and 15.
15
Let f(o) = -o**3 - 16*o**2 - 49*o + 15. Let w be f(-13). What is the greatest common divisor of w and 116?
29
Let g(x) = -5*x + 1. Let c be g(-1). Let k = -34 - -36. Suppose -3*d + 16 = 2*u, -8 = k*u - 4*u - d. Calculate the highest common factor of c and u.
2
Suppose 7*v - 375 = -18*v. What is the highest common divisor of 40 and v?
5
Suppose -3*r = -3*f + 75, 8*r - 44 = -2*f + 4*r. What is the greatest common divisor of f and 9?
3
Let g = 334 - 133. Let b = g - 111. Calculate the greatest common divisor of b and 20.
10
Let w be (-54)/(-12 - -6)*2. What is the highest common factor of 162 and w?
18
Suppose -4*d = -d - 300. Let m be ((-4)/8)/((-2)/d). Suppose 7*x + 0*x - 645 = -610. Calculate the greatest common divisor of m and x.
5
Suppose -9*q + 7916 + 1777 = 0. What is the highest common divisor of q and 3?
3
Suppose 980 = 4*h + h. Let n = h + -116. Let k(c) = c**2 - 10*c - 8. Let p be k(12). What is the highest common divisor of p and n?
16
Let v(l) = -l**2 + 10*l + 8. Let a be v(8). Suppose 8 + 76 = 14*y. What is the highest common divisor of a and y?
6
Let a be (1/(2/(-8)))/1. Suppose 4*f = j - 340, -2*j + 79 + 181 = -3*f. Let c be (60/14)/(a/f). Calculate the highest common factor of 36 and c.
18
Let b be 228/(-342) - (-814)/6. Let x be (-12)/10*(-100)/8. Calculate the greatest common factor of x and b.
15
Let r(q) = -95*q + 119. Let s be r(1). What is the highest common factor of 2136 and s?
24
Suppose 14 = -2*g + 3*g. Let t be (56 + -47 - (3 + -1))*(19 + 1). Calculate the highest common factor of g and t.
14
Suppose -26 - 64 = -2*x. What is the greatest common factor of 75 and x?
15
Suppose 0 = v + 3*z - 32, 2*v - 3*z - 4 - 24 = 0. What is the highest common divisor of v and 5?
5
Suppose -12 - 15 = -9*b. Let i be ((-39)/2)/(3/6). Let l = i + 63. What is the greatest common divisor of l and b?
3
Let s(z) = 8*z + 6. Let y be s(3). Suppose i - 2*n - 240 = -6, -5*i + 3*n = -1191. What is the highest common divisor of i and y?
30
Let t be (20/30)/(4/(-582)). Let w = t - -174. Calculate the greatest common divisor of w and 7.
7
Suppose -c + m = -m - 248, 2*m = 2. Let p = -42 + 127. Suppose 4*d = 3*a + p, -20 = -2*a - 2*a. Calculate the highest common divisor of d and c.
25
Let v(m) = -m**3 - 7*m**2 - 5*m + 11. Let b be v(-6). Suppose 100 = b*a - z, 3*a + z - 4*z - 72 = 0. Calculate the greatest common factor of a and 171.
19
Suppose -345 = 29*n - 33*n + 3*k, 7 = -k. Let w be -1 - (0 - (0 - -28)). What is the greatest common factor of w and n?
27
Let g(l) = -37*l - 4. Let p be g(-4). Suppose 86 = -c + 6*c + 3*n, -3*c - 3*n + 54 = 0. What is the highest common divisor of c and p?
16
Let f = -4 - -22. Let s = -6 + f. What is the greatest common factor of 4 and s?
4
Let h(d) = -2*d - 45. Let w be h(-33). Calculate the highest common factor of w and 336.
21
Let s(q) = 60*q + 32. Let j be s(8). Suppose -3*n - 5*o + 173 = -375, -4*o - j = -3*n. What is the greatest common factor of 11 and n?
11
Let w = -1282 - -1298. Calculate the greatest common divisor of w and 208.
16
Let h be ((-225)/(-30))/((-9)/(-30)). What is the highest common factor of h and 25?
25
Let z = 13 - 7. Let n = 57 + -27. Suppose n = z*i - i. Calculate the greatest common factor of 42 and i.
6
Suppose k - 10 = l, 3*l + 15 = -k - l. Suppose 0 = k*z - 2*z - 27. Calculate the highest common divisor of 6 and z.
3
Let l be 4 - (35/21 - 8/12). Calculate the greatest common divisor of 87 and l.
3
Suppose 2*r - 124 = 4*t, -5*r - 3*t + 51 + 207 = 0. Let f(n) = n**3
|
{
"pile_set_name": "DM Mathematics"
}
|
3*b + 10. Let z(r) = 6*m(r) - 15*x(r). Calculate u(z(s)).
-3*s + 5
Let h(t) = 324*t**2. Let s(l) be the third derivative of l**4/12 + 1338*l**2. Calculate h(s(a)).
1296*a**2
Let s(q) = 227*q**2 - 115*q**2 - 115*q**2. Let b(h) = -7*h - 7. Let k(f) = f**2 + f + 1. Let t(j) = -5*b(j) - 35*k(j). Determine t(s(z)).
-315*z**4
Let p(o) = 17822071*o. Let y(x) = -8*x. What is p(y(h))?
-142576568*h
Let y(l) = -313*l - 1029*l - 455*l + 382*l. Let m(h) = 2*h**2. Give m(y(f)).
4004450*f**2
Let n(d) = 3*d**2 + 14*d + 27*d - 56*d + 15*d. Let s(m) be the first derivative of -7*m**3/3 + 10. What is s(n(c))?
-63*c**4
Let t(z) be the first derivative of -z**5/6 - 5*z**3/6 + 205*z**2/2 + 181. Let q(v) be the second derivative of t(v). Let g(w) = 2*w. Give q(g(p)).
-40*p**2 - 5
Let x(p) = -p**2. Let k(f) = -10280282*f. Calculate k(x(a)).
10280282*a**2
Let s(y) = 4*y**2 - 12*y - 87. Let d(m) = 37*m**2 - 114*m - 782. Let f(i) = 2*d(i) - 19*s(i). Let x(j) = 5*j**2. What is x(f(g))?
20*g**4 - 1780*g**2 + 39605
Let o(b) = b**2 - 822614. Let c(q) = q + 536. Calculate o(c(w)).
w**2 + 1072*w - 535318
Let g(d) = -61*d - 5021. Let k(z) = -133*z + 1. Calculate g(k(y)).
8113*y - 5082
Let y(n) = 14*n - 20. Let w(i) = i - 4. Let l(a) = -5*w(a) + y(a). Let h(c) = 108*c. What is l(h(k))?
972*k
Let d(b) = -107*b. Let v(g) = 638*g**2 + 36. Determine v(d(x)).
7304462*x**2 + 36
Let s(y) = -100800 + 100800 - 14*y. Let k(m) = 153*m**2. Give s(k(p)).
-2142*p**2
Let z(r) = 8*r**2 - 2. Let h(f) = 150*f**2 - 39. Let q(a) = 2*h(a) - 39*z(a). Let t(v) = -103*v**2. Calculate t(q(w)).
-14832*w**4
Let o = -3572 + 3572. Let z(g) be the third derivative of 4*g**2 + 13/8*g**4 + 0 + o*g + 0*g**3. Let t(r) = -2*r. What is t(z(d))?
-78*d
Let h(l) = -12*l. Let d(a) = 112*a - 13. Let s(j) = -52*j + 5. Let n(q) = -2*d(q) - 5*s(q). Give h(n(i)).
-432*i - 12
Let m(x) = -9*x + 1. Let y(q) be the second derivative of 4*q**3 - q - 238. Give m(y(p)).
-216*p + 1
Let p(b) = -2*b**2 + 1. Let z(g) be the first derivative of 6*g**3 - g + 1311. Give z(p(j)).
72*j**4 - 72*j**2 + 17
Let s(b) = 1823 + 1823 - 3646 + 2*b. Let g(r) = -1167*r. Give s(g(w)).
-2334*w
Let j(n) be the second derivative of 112*n**3/3 + 2*n + 1762. Let o(k) = 51*k**2. What is j(o(y))?
11424*y**2
Let k = 120 + -109. Let n(p) = 12*p + 0*p - k*p. Let r(g) = -7*g**2. What is n(r(o))?
-7*o**2
Let x(v) = -v. Let n(f) = -2*f**2 - 5535489*f. What is n(x(k))?
-2*k**2 + 5535489*k
Let v(q) = -14716*q**2. Let g(n) = -337*n. Give g(v(t)).
4959292*t**2
Let w(b) = -12343*b. Let h(m) = -967*m. Give h(w(g)).
11935681*g
Let f(d) = 23*d - 3. Let t(q) = -21*q + 4. Let a(o) = -4*f(o) - 3*t(o). Let x(j) be the first derivative of 2*j**2 + 81. Give x(a(h)).
-116*h
Let x(g) = 5*g. Let v(z) = z**2 + 245744*z - 3. Determine x(v(l)).
5*l**2 + 1228720*l - 15
Let q(l) = -46*l - 7. Let t(y) = 9*y**2 - 99*y. Let m(c) = -12*c**2 + 135*c. Let f(i) = -11*m(i) - 15*t(i). Calculate q(f(r)).
138*r**2 - 7
Let b(a) = 4289546*a + 3. Let j(w) = -w. Calculate j(b(d)).
-4289546*d - 3
Let g(n) = -63*n. Let m(v) = 25*v - 128. Determine m(g(w)).
-1575*w - 128
Suppose -293 = -l + x, 0 = -2*l - 15*x + 11*x + 604. Let j(i) = 296*i + 300*i + l*i - 893*i. Let d(h) = -6*h + 19. Determine j(d(s)).
6*s - 19
Let f(w) = 4*w - 24. Let o(a) = -9*a + 52. Let q(g) = 13*f(g) + 6*o(g). Let z(u) be the third derivative of -47*u**5/20 + u**2 + 34. What is q(z(p))?
282*p**2
Let s(r) = 5*r - 6. Let p(h) = -2*h. Let t(l) = -2*p(l) - s(l). Let k(v) = -v - 3. Let b(u) = -2*k(u) - t(u). Let y(d) = -77*d. Calculate y(b(w)).
-231*w
Let p(u) = 60*u**2 + 3*u + 7. Let r(b) = -266*b - 20. Let y(d) = 80*d + 6. Let t(x) = -3*r(x) - 10*y(x). Determine t(p(w)).
-120*w**2 - 6*w - 14
Let a(k) = -5*k**2 - 6*k - 23. Let w(s) = 13*s**2 + 16*s + 65
|
{
"pile_set_name": "DM Mathematics"
}
|
econds are there in 304.1632 hours?
1094987520000
What is twenty-nine fifths of a century in years?
580
What is twenty-one quarters of a second in milliseconds?
5250
What is 30/7 of a week in hours?
720
What is 31/5 of a decade in months?
744
How many minutes are there in 7/6 of a day?
1680
How many grams are there in three fifths of a kilogram?
600
Convert 93074.61ng to micrograms.
93.07461
How many millilitres are there in 1/5 of a litre?
200
How many milligrams are there in 53/5 of a gram?
10600
Convert 161.69328 seconds to weeks.
0.00026735
How many micrometers are there in 61/2 of a millimeter?
30500
How many millennia are there in 3668.09 decades?
36.6809
How many grams are there in 8.332255 nanograms?
0.000000008332255
How many millimeters are there in 65.02073nm?
0.00006502073
What is fifty-four fifths of a litre in millilitres?
10800
How many kilograms are there in one tenth of a tonne?
100
What is 0.2862449 minutes in nanoseconds?
17174694000
How many decades are there in fifty-five quarters of a millennium?
1375
What is 1/4 of a meter in centimeters?
25
What is one tenth of a gram in milligrams?
100
Convert 11.88967mm to meters.
0.01188967
How many milliseconds are there in 53/4 of a second?
13250
What is 3/25 of a millisecond in microseconds?
120
What is 85.54798um in nanometers?
85547.98
How many months are there in fourty-nine quarters of a decade?
1470
What is 21310.49ml in litres?
21.31049
What is seven halves of a litre in millilitres?
3500
How many days are there in 11602.533 hours?
483.438875
What is three eighths of a litre in millilitres?
375
What is 76.13052 decades in months?
9135.6624
How many kilograms are there in 964163.9 milligrams?
0.9641639
How many kilograms are there in five eighths of a tonne?
625
What is 1/6 of a decade in months?
20
What is 0.8764623g in milligrams?
876.4623
What is 44727.62 days in milliseconds?
3864466368000
What is 28.87005ml in litres?
0.02887005
What is 0.003338g in kilograms?
0.000003338
What is 41.26632km in centimeters?
4126632
What is 1/18 of a hour in seconds?
200
How many millennia are there in 97.94981 years?
0.09794981
What is 191101.6mm in kilometers?
0.1911016
What is 7/2 of a litre in millilitres?
3500
Convert 33.45832 centuries to months.
40149.984
What is 13/8 of a century in months?
1950
What is 29/5 of a centimeter in micrometers?
58000
How many kilograms are there in thirty-one halves of a tonne?
15500
What is seven halves of a millennium in centuries?
35
What is 102948.7 decades in months?
12353844
What is 71.3983 centuries in years?
7139.83
Convert 42.75504 milliseconds to minutes.
0.000712584
Convert 4.733265 years to millennia.
0.004733265
How many grams are there in 18.66116mg?
0.01866116
Convert 8.071872km to meters.
8071.872
Convert 0.6813387 millilitres to litres.
0.0006813387
Convert 97.65733mg to micrograms.
97657.33
Convert 3.998655um to kilometers.
0.000000003998655
What is 0.0538494 years in decades?
0.00538494
What is seven eighths of a millimeter in micrometers?
875
Convert 0.7375736ml to litres.
0.0007375736
What is 5.94101 centimeters in micrometers?
59410.1
What is 9.638993 kilograms in milligrams?
9638993
What is seven halves of a decade in months?
420
What is 52/5 of a millennium in decades?
1040
Convert 0.6555595 years to months.
7.866714
What is 1/10 of a kilometer in meters?
100
What is 52.303006 days in weeks?
7.471858
Convert 65641.7 seconds to nanoseconds.
65641700000000
How many months are there in 7/3 of a millennium?
28000
How many milligrams are there in thirty-seven fifths of a gram?
7400
What is 9193.827 millilitres in litres?
9.193827
How many litres are there in 8.860984 millilitres?
0.008860984
How many micrometers are there in 11/4 of a millimeter?
2750
What is 23.84428km in micrometers?
23844280000
How many millennia are there in 8618.889 decades?
86.18889
What is 21/2 of a litre in millilitres?
10500
How many minutes are there in four thirds of a week?
13440
Convert 61088.18 hours to nanoseconds.
219917448000000000
Convert 3336.216cm to nanometers.
33362160000
Convert 0.2170361 millilitres to litres.
0.0002170361
What is 1.235265ng in milligrams?
0.000001235265
How many microseconds are there in fourty-six fifths of a millisecond?
9200
How many centuries are there in 500.0519 decades?
50.00519
Convert 7.382586t to grams.
7382586
What is 78.3119 litres in millilitres?
78311.9
What is 21/8 of a tonne in kilograms?
2625
What is 21/4 of a century in months?
6300
What is 7/4 of a week in hours?
294
What is 45.43942 millimeters in nanometers?
45439420
What is 589.3185 millilitres in litres?
0.5893185
What is 0.6844858 litres in millilitres?
684.4858
Convert 0.4145829 kilometers to centimeters.
41458.29
What is 3/5 of a litre in millilitres?
600
How many tonnes are there in 738.8673 kilograms?
0.7388673
Convert 0.9509436ml to litres.
0.0009509436
How many litres are there in 0.9306111 millilitres?
0.0009306111
How many months are there in 68/3 of a year?
272
Convert 1.165199ml to litres.
0.001165199
What is 0.9289887t in nanograms?
928988700000000
What is 3/5 of a milligram in micrograms?
600
What is fourty-eight fifths of a millennium in decades?
960
Convert 17404.1757 seconds to days.
0.20143721875
How many kilometers are there in 0.3358464 micrometers?
0.0000000003358464
How many milligrams are there in sixty-three eighths of a gram?
7875
What is 1/4 of a litre in millilitres?
250
What is 76.88882 years in centuries?
0.7688882
How many millilitres are there in 4488.928l?
4488928
What is one tenth of a second in microseconds?
100000
How many centuries are there in 754870.3 years?
7548.703
How many litres are there in 89.79343ml?
0.08979343
How many milligrams are there in 73/5 of a gram?
14600
Convert 49.94051 meters to kilometers.
0.04994051
What is 13/4 of a tonne in kilograms?
3250
How many millilitres are there in one fifth of a litre?
200
How many months are there in 6/25 of a century?
288
What is seven halves of a micrometer in nanometers?
3500
Convert 4993.15ng to kilograms.
0.00000000499315
Convert 755567.1ml to litres.
755.5671
What is 3.560212 years in decades?
0.3560212
Convert 383.0761l to millilitres.
383076.1
How many millilitres are there in thirty-seven halves of a litre
|
{
"pile_set_name": "DM Mathematics"
}
|
))/(sqrt(100)/(sqrt(640)*-1 + sqrt(640) + sqrt(640) + sqrt(640))))**2.
0
Simplify ((2*sqrt(126)*1)/sqrt(6))/(sqrt(3) + 3*-1*sqrt(3) + 2*(sqrt(12) + sqrt(3) - sqrt(3))).
sqrt(7)
Simplify (sqrt(36)/(sqrt(48) + sqrt(144)/sqrt(3)) - ((sqrt(3) - (sqrt(27) + sqrt(3))*-2) + 2))**2*2.
70*sqrt(3) + 3739/8
Simplify (-1*(1 + sqrt(99))*-1)**2 - (3 + (sqrt(176) + sqrt(176)*-2 - sqrt(176))**2 - ((sqrt(176) - (sqrt(176) + 1 - sqrt(176) - sqrt(176))) + 5)).
-603 + 14*sqrt(11)
Simplify (sqrt(34) - (sqrt(3400) - (-4*sqrt(3400) + sqrt(3400))))/(sqrt(20)/sqrt(640)).
-312*sqrt(17)
Simplify (((sqrt(162) - (sqrt(162) - sqrt(162)*-1))*-5)/(sqrt(66)/(sqrt(11) + sqrt(22)/sqrt(2))) + -3)**2 + 5.
-180*sqrt(3) + 2714
Simplify (5 + sqrt(2299) + 0)**2 + (sqrt(2299) - ((-2 + sqrt(2299))*6)**2).
-80584 + 1705*sqrt(19)
Simplify ((sqrt(1573)*-1*1 + 3)*6)**2*-1.
-56952 + 2376*sqrt(13)
Simplify 3 + (-6*(1 + sqrt(13))*2)**2 + -4.
288*sqrt(13) + 2015
Simplify ((sqrt(210)/sqrt(216)*5)/(-6*(sqrt(245) - sqrt(245)*-4) + sqrt(245)))**2.
25/211932
Simplify 6*((sqrt(100) + 1*sqrt(100)*-2)/sqrt(10))/(sqrt(24)/(sqrt(12)*-2*-5 + sqrt(12))).
-66*sqrt(5)
Simplify (sqrt(144)/(sqrt(6)*-2 + sqrt(6)) + -2*(sqrt(48)/sqrt(2) + sqrt(24)))/((sqrt(96)*2*-1)/sqrt(12)).
5*sqrt(3)/2
Simplify ((sqrt(228) - sqrt(228)*2*1) + -1*(sqrt(228) + -2*sqrt(228)))/(sqrt(108)/(4*sqrt(441))).
0
Simplify -1 + (-6*4*sqrt(130))/(-6*2*sqrt(10)).
-1 + 2*sqrt(13)
Simplify (((-1*sqrt(140))/sqrt(4))/(5*sqrt(7)*3 + sqrt(7)))**2.
5/256
Simplify (sqrt(42)/(sqrt(3)*1*-2))/((sqrt(48)/sqrt(2)*4)/sqrt(12)).
-sqrt(7)/8
Simplify -3*(1 + (sqrt(243) + sqrt(243) + sqrt(243)*-2)*1 + sqrt(243)*2*-1).
-3 + 54*sqrt(3)
Simplify (-2 + sqrt(396) + 5 + (1 + sqrt(44) - ((sqrt(11) - -1*sqrt(11)) + -4)))**2.
96*sqrt(11) + 460
Simplify (3*sqrt(209)*-6)/(4*sqrt(1584) + sqrt(1584) + sqrt(1584) - sqrt(1584)).
-3*sqrt(19)/10
Simplify (sqrt(637) + 3 + sqrt(637) + 3 - sqrt(637) - (3 + (sqrt(637) + 0 - sqrt(637))))**2.
42*sqrt(13) + 646
Simplify (-4*sqrt(96)/sqrt(6)*6)/((1*sqrt(968) + sqrt(968))*-1).
12*sqrt(2)/11
Simplify -2 + -2 + (sqrt(500)*-1)**2 - -4*-4*sqrt(500)*-1.
160*sqrt(5) + 496
Simplify -3*((2 + sqrt(612))**2 + -2)*6.
-11052 - 432*sqrt(17)
Simplify (-3*3*sqrt(7056))/(sqrt(35)/(sqrt(720)/sqrt(4))).
-648*sqrt(7)
Simplify -1*(4 + sqrt(9)/(sqrt(3)*1) + ((sqrt(3) + 0)*-5 - sqrt(3)))**2.
-91 + 40*sqrt(3)
Simplify -6*(sqrt(216)*1)/sqrt(8) + (sqrt(297)/(1*sqrt(11)) - (2 + sqrt(27) + -3)).
-18*sqrt(3) + 1
Simplify -3*((sqrt(234)*1)/sqrt(9) + sqrt(26))/(sqrt(198)/sqrt(11)).
-2*sqrt(13)
Simplify (1*(sqrt(95) + (sqrt(95) - 1*sqrt(95))) + 1*(sqrt(95) - (-1*sqrt(95) - sqrt(95))))/(-6*sqrt(20)/sqrt(4)*-6).
sqrt(19)/9
Simplify 1*1*-1*(4 + (-6*(sqrt(320) + -1))**2).
-11560 + 576*sqrt(5)
Simplify 1*sqrt(42)/(sqrt(12)/(sqrt(2)*-1)) - (-3 + (sqrt(567) + 1*sqrt(567))/sqrt(9))**2.
-261 + 35*sqrt(7)
Simplify (-2*-3*(-2 + sqrt(76)*-1*3 + -2*sqrt(76)*-2))**2.
-288*sqrt(19) + 2880
Simplify (sqrt(11) - (sqrt(11) + sqrt(11) + -3 + 5) - (sqrt(396)*-3 - sqrt(11)))**2 + 4.
-72*sqrt(11) + 3572
Simplify -6*(sqrt(1425) - (sqrt(1425) + (sqrt(1425) + 2*sqrt(1425))*-4))/(sqrt(1200)*2).
-9*sqrt(19)
Simplify sqrt(567)/(sqrt(36)/(sqrt(4) + sqrt(4) + sqrt(4)*2 + sqrt(4)) - sqrt(9)) - (0 + sqrt(315)/sqrt(80)).
-9*sqrt(7)/2
Simplify -2 + ((sqrt(242)/sqrt(99))/((sqrt(88)/sqrt(4))/sqrt(2)))**2.
-16/9
Simplify (sqrt(5) + sqrt(720) + 2)**2 - (sqrt(40)/sqrt(32))**2 - (-6*1*sqrt(125) + (sqrt(125) - 2*sqrt(125)*1)**2).
82*sqrt(5) + 2891/4
Simplify ((1*sqrt(272) + -4 - sqrt(272))*-5 + -1*(sqrt(272) - (sqrt(272) + 1*sqrt(272)*1 - sqrt(272))))**2.
400
Simplify (sqrt(170) - ((sqrt(170)*1 - sqrt(170)) + sqrt(170)))/sqrt(10) + sqrt(119)/(sqrt(7)*1) - (sqrt(85)/(sqrt(50)/sqrt(640)))**2.
-1088 + sqrt(17)
Simplify (-1*-1*sqrt(171) - -4*sqrt(171)*1)/(6*sqrt(90)/(sqrt(70)/sqrt(7))).
5*sqrt(19)/6
Simplify (0 + sqrt(102)/sqrt(6) + sqrt(51)/(3*sqrt(3)))*-4.
-16*sqrt(17)/3
Simplify ((-3*(sqrt(68) + sqrt(68) + sqrt(68) + sqrt(68)*-2 - sqrt(68)))/sqrt(4)*6*-3 + -1)*-3.
3
Simplify (sqrt(36)/(sqrt(12) + sqrt(24)/sqrt(2))*5 + sqrt(441)/sqrt(3) + 0)**2.
1083/4
Simplify ((sqrt(120) + (sqrt(120)*2 - sqrt(120)))*2)/(sqrt(6) + (sqrt(168)/sqrt(4))/sqrt(7)) + 0.
4*sqrt(5)
Simplify (-5*sqrt(152)/sqrt(72))**2 + (sqrt(304) + -2*sqrt(304) - (3*sqrt(76))**2).
-5681/9 - 4*sqrt(19)
Simplify (-2 + -4 + 1 + sqrt(275))**2 + 5.
-50*sqrt(11) + 305
Simplify (sqrt(440)/sqrt(32))/(5*sqrt(40)/sqrt(8)).
sqrt(11)/10
Simplify 4*-2*(sqrt(125) + -1) + -3
|
{
"pile_set_name": "DM Mathematics"
}
|
asing order.
0.3, 0.12, m
Let f be (-2)/(-10) - (5 - 2*15/6). Sort -1/9, 7, 8, -1, f in descending order.
8, 7, f, -1/9, -1
Let l be (-3)/(-6) + (-2)/(-12). Let y = -1.552 + -870.448. Let j = -873 - y. Put 0.5, l, j, 2/7 in ascending order.
j, 2/7, 0.5, l
Let k(y) = -y**3 - 6*y**2 - 12*y - 13. Let q be k(-4). Let n = -13163/21 + 627. Sort q, n, -5/2 in decreasing order.
q, n, -5/2
Let y(k) = 16*k**2 + 149*k - 8. Let n be y(5). Sort n, -2, -5 in decreasing order.
n, -2, -5
Suppose 753*t - 754*t = -3. Suppose -14*a + 29 = -3*n - 15*a, -n + t*a + 7 = 0. Let q = 4 + -8. Put -2, n, q in ascending order.
n, q, -2
Let s be 0*((-56)/7 + 9). Put s, 2, 36, -5, -1 in decreasing order.
36, 2, s, -1, -5
Suppose -v - 3*v = -v + 3*r, v = -2*r. Put v, 0.01, 1/8, -0.03 in descending order.
1/8, 0.01, v, -0.03
Let y = 16846 + -16850. Put 139, y, 2, 4, 1 in descending order.
139, 4, 2, 1, y
Let j be -35 - 1056/33 - -39. Suppose -6*w + 25 = -w. Sort j, 4, w in ascending order.
j, 4, w
Let h(i) = -12*i - 220. Let y be h(-18). Put y, 5.9, 1/4, -1/2 in increasing order.
y, -1/2, 1/4, 5.9
Let l = 4.08 + -4. Let g = 68.5 - 68. Sort l, -10, g in ascending order.
-10, l, g
Let u be ((-183)/(-12))/(7/56). Suppose 121*h = u*h - 1. Let z be ((-21)/(-30) - 1) + h/(-2). Sort 3, -1, z.
-1, z, 3
Let s = -7.65 + 65.91. Let b = s - 57. Let z = 1.26 - b. Put 1, -6, z in increasing order.
-6, z, 1
Suppose -20 = -2*r - 3*r. Let t be (-722 + 720)*2/(-4). Sort t, -27, r in ascending order.
-27, t, r
Suppose 56*w - 55*w + 136 = 0. Let p be 2 + w/(-6) + (-8)/12. Let r be p/(-20)*(-30)/(-9). Put 0, 0.045, r in descending order.
0.045, 0, r
Suppose -3*y = 0, -3*y - 17 = 2*w - 55. Suppose 12 = -16*z + w*z. Sort -4, -1, -3, z in descending order.
z, -1, -3, -4
Let c = 1 + 2. Suppose 5*f = 5*q + 10, -3*q - 3 = 3*f - 21. Suppose 5*m = -5, m + 8 = c*o - q. Sort o, 4, -3/7 in ascending order.
-3/7, o, 4
Let q = 2279 + -2289. Put 1.7, q, 1, 3/2 in increasing order.
q, 1, 3/2, 1.7
Suppose 612 = -23*k - 101. Let l = k - -30. Let w be (-9)/(-2) + (-2)/4. Sort 1, l, w, 6 in descending order.
6, w, 1, l
Let c be (-40)/(-20)*(57/(-2) - 0). Let j be 95/c + (-2)/6. Sort 5, 7, j, 3 in decreasing order.
7, 5, 3, j
Let v = -7022.66 + 7026. Put v, 5, -2 in decreasing order.
5, v, -2
Suppose -3*o + 67 = -m, 3 = o - 2*m - 16. Suppose u = 2*x - 2, 4*x + o = -2*u + 11. Put u, -4/5, 3 in decreasing order.
3, -4/5, u
Let i be 8/88 + (-310)/22. Let b be (-1 + (-1 - 2))*14/i. Put 18, b, 1, -4 in decreasing order.
18, b, 1, -4
Let o be 8/(-10)*(130/388)/13. Sort 4, -3, o, 0.
-3, o, 0, 4
Let r = -900 + 298. Let u = r - -597. Sort -6, u, -1.
-6, u, -1
Let h = 20 - 24. Let i be 0 - (-6)/14 - (-45972)/630. Let s = 73 - i. Put s, h, -2 in increasing order.
h, -2, s
Let a = -7.468 - -7.068. Put -4, a, 0, -2, -7.5 in ascending order.
-7.5, -4, -2, a, 0
Let v = -2/2981 + -8887/83468. Sort v, 2/5, -4/7, 1/6, -0.2.
-4/7, -0.2, v, 1/6, 2/5
Let x = 3477 - 3475. Put -8, x, -92, -5 in descending order.
x, -5, -8, -92
Let p = -32 - -32. Suppose -c + 2 = -p*c - j, -c + 3*j + 2 = 0. Suppose 0 = -5*z + 5*u + 25, 0*z + 5*u + 10 = c*z. Put -0.1, -0.3, z in increasing order.
-0.3, -0.1, z
Suppose 12*o = 14*o + x - 22, 2*o - 4*x - 32 = 0. Sort -17, 1, o in increasing order.
-17, 1, o
Let i = 8 + -7.6. Let l = 225182620/99 + -2274610. Let x = -414/11 - l. Sort x, i, -3.
-3, i, x
Suppose 0 = -75*y - 14 + 14. Put 5, -18, y in ascending order.
-18, y, 5
Suppose 3*s = 9, -2 - 3 = -5*v - 5*s. Put -187, v, -3 in increasing order.
-187, -3, v
Let v be 9/(2 - -1)*-2 + 748/119. Sort 2/3, 2, -6, -3/5, v in decreasing order.
2, 2/3, v, -3/5, -6
Let g(m) = m**2 - 16*m - 17. Let z(d) = d**2 - 15*d - 16. Let p(s) = -3*g(s) + 4*z(s). Let c be p(13). Suppose -14*b - 296 + 226 = 0. Sort c, -4, b, 2.
b, -4, c, 2
Let c(u) = -2*u**3 + 47*u**2 + 22*u - 83. Let m be c(24). Let n = -132 - m. Put n, 4, -31 in descending order.
4, n, -31
Suppose -2*v + 2*q - 35 + 15 = 0, 4*v = -4*q. Sort v, -6, -16 in descending order.
v, -6, -16
Let t be (-8)/92 - (355/(-15))/(69/9). Sort -5, t, -0.5, -1, 0.2 in descending order.
t, 0.2, -0.5, -1, -5
Suppose 12*a + 3 = -21. Let u be 224/(-12)*(-9)/a. Let k
|
{
"pile_set_name": "DM Mathematics"
}
|
l**2) + 0*l**5 - l**5 - l**5 + 4*l**5 - 6*l**5 + 4*l**5 + (2*l + 0 + 0)*(l**4 + 0*l**4 + 0 + 1).
l**5 + 2*l
Expand (1 + 3 - 3)*(-4 + 4 + 2*i).
2*i
Expand (-c**2 - 8*c + 0*c + 2*c)*(0*c**2 + 5*c**2 + 2*c - 3*c**2).
-2*c**4 - 14*c**3 - 12*c**2
Expand (2*c - c + 0*c)*(-4 - 1 + 2)*(-2 + 8 - 2).
-12*c
Expand (-9*d - 2*d**2 + 9*d - 1)*(-5*d**3 - 3*d**3 + 2*d**3).
12*d**5 + 6*d**3
Expand (0 - 4 + 2)*(-4*x + x + x) + 3 - 3 - 17*x.
-13*x
Expand (4*l + 2*l - 4*l)*(3 + 1 - 2) - l - 4*l + 6*l - 6 - 12*l - 4 + 11*l.
4*l - 10
Expand (1 + 1 - 6)*(0 + 0 + 2*l).
-8*l
Expand (-t + 0*t - t)*(-8 - 3 + 0) + 7 - 7 + t + t - 2*t + 0*t - 2 + 2 - t + (5*t - 3*t + 0*t)*(1 + 0 - 2) + 0*t + 4*t - 3*t + 2*t + t - 4*t.
19*t
Expand (3*q + q**3 + 3 - 3)*(-5*q + 5*q + 4*q).
4*q**4 + 12*q**2
Expand (-d - d + 0*d)*(-3*d**2 + 3*d**2 - d**2) + 7*d**3 + 12*d**3 - 25*d**3.
-4*d**3
Expand -43 + 4*m**5 + 43 - 2*m**2 + 2*m**2 + m**5 + (m**3 + 2*m**2 - 2*m**2)*(2*m**2 - 2 + 2).
7*m**5
Expand (p - 1 + 1)*(12*p**2 - 7*p**2 - 4*p**2 - 5*p**3).
-5*p**4 + p**3
Expand (-76*d + 5*d - 141*d + 28*d)*(5*d - 4*d + d).
-368*d**2
Expand (-7 + 6 - 18)*((-2 - 1 + 2)*(0*x + 3*x - 2*x) + 0*x + 2*x - 4*x - 3 + 3 + x - 4*x + 2*x + x) + (1 + 2 - 1)*(0*x - x + 0*x).
55*x
Expand (-4 + 4 + 2*a)*(13 - 3 - 3).
14*a
Expand (-3 + 5 + 0)*(-10 - 9 + 7)*(d + 2 - 2).
-24*d
Expand ((1 + 0 + 1)*(3*k + 2*k - 3*k) - 3 + 3 - k)*((-1 + 5 - 3)*(0 + 1 + 0) - 1 + 2 + 0 - 1 + 2 - 4).
-3*k
Expand (w + w + 0*w)*(-12 - 6*w**3 + 3*w**3 + 9 + 2*w**2).
-6*w**4 + 4*w**3 - 6*w
Expand -2*y**4 - y**4 + 5*y**4 + (0*y**2 - 2*y**2 + 3*y**2)*(-3*y**2 + 0*y + 0*y).
-y**4
Expand -g**5 - g**5 + 3*g**5 + (3*g + 0 + 0)*(2*g**4 - 2*g**3 + 2*g**3) - g**5 + 0*g**5 - g**5 + (-g**2 + 7*g**2 + 3*g**2)*(0*g**3 + 4*g**3 - 2*g**3).
23*g**5
Expand (-4 - 4 + 4)*(2 - 2 - 4)*(-g**4 + 0*g**4 - g**4).
-32*g**4
Expand -3*f**3 + 3*f**3 - 2*f**4 + 0*f + f**4 + 0*f - 2*f**3 + 4*f**4 + 2*f**3 + (-4*f + 2*f + 0*f)*(-f**3 + 0*f**3 - f**3).
7*f**4
Expand (5*o**3 - 3*o**3 + 0*o**3 + (4*o**2 - 22 + 22)*(-3*o + 4*o - 2*o))*(1 - 1 - 2).
4*o**3
Expand -2*w**2 + 5*w**2 - 2*w**2 + (-2 + 2*w**2 + 2)*(-13 - 2 + 5) + 2*w**2 - w**2 + 0*w**2.
-18*w**2
Expand (-f + 3*f - 4*f)*(-2*f + 2*f - 2*f) - f**2 - f**2 - f**2 + (1 - 2*f - 1)*(1 + f - 1).
-f**2
Expand -w**4 - 18*w**4 - 4*w**4 + w**4 + 0*w**2 + 0*w**2 + (w - 2*w + 0*w)*(0*w**3 + w**3 + w**3) - 6*w**4 + 3*w**4 + w**4.
-26*w**4
Expand (p - 2 + 2)*(-3*p - 7*p + p).
-9*p**2
Expand (-s - 4 + 4)*(-30 + 5*s**2 + 30) + (-2*s - s + 2*s)*(-s + 2*s**2 + s).
-7*s**3
Expand 3 - w**2 - 3 + (w - 2*w + 3*w)*(0*w - w - w) - 20*w**2 + 19*w**2 + 0 + 26.
-6*w**2 + 26
Expand 64*x - 64*x - 5*x**3 + (-1 - 2 + 1)*(3 - 3 + 2*x**3) + 0*x**2 + x**3 + 0*x**2 - 3*x + 3*x - 2*x**3.
-10*x**3
Expand (0*u - 2*u - 3*u)*(-5*u + 4*u - 13*u).
70*u**2
Expand (9 + 5*d - 9)*(-3 + 1 + 3)*(-1 + 3 + 2).
20*d
Expand (-3 + 2 + 3)*(2*o + 3 - 2 - 5)*(2 + 1 - 5).
-8*o + 16
Expand (6 - 3 + 2)*(-6*x**2 + 4*x**2 - 3*x**2) + 2*x + 2*x**2 - 2*x + (0*x + 2*x - 5*x)*(x + 1 - 1).
-26*x**2
Expand (-3*b + 4*b + 0*b)*(-2*b**3 + 1 - 1) - 5*b**4 + 0*b**3 + 2*b**4 - b**3 - b**2.
-5*b**4 - b**3 - b**2
Expand (-5 - f**4 - 2*f**4 + f**4)*(-2*f + 0*f - 2*f).
8*f**5 + 20*f
Expand (5*i**3 + 3 - 3)*(-11*i - 9*i - 13*i)*(-1 + 4 - 4).
165*i**4
Expand (-m - 4*m + 4*m)*(-3 + 1 + 4).
-2*m
Expand n + 0 + 0 + (0*n - n + 0*n)*(-3 + 1 + 1) + n + 2*n + 3*n.
8*n
Expand 3*c**2 + 2*c**2 + 2*c**2 + (-4 + 2 + 0)*(c - c + 2*c**2).
3*c**2
Expand -g**2 + g**2 - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-14))*(17 - 37)/(-80).
-1/14
Evaluate (310/186)/(5/(-4))*(-18)/4.
6
What is 4 + -7 + (9 - 22)?
-16
Evaluate -16*(18/(-4))/(-9).
-8
What is (-4)/(-10) + (8 - (-6 + (-1529)/(-110)))?
1/2
Evaluate (65/40 + 21/(-14))*(-3)/(-3).
1/8
What is the value of (2 + 2/(-24)*22)*(1 + 2)?
1/2
(-134)/16 + 108/192*(-8)/(-12)
-8
What is the value of 10/(-4) + (-99)/66 - (-10)/4?
-3/2
What is the value of 13/(-5)*(2 + -1)?
-13/5
Calculate 360/12*(-12)/20.
-18
What is 10/15 + 528/99?
6
Evaluate (-45288)/1368 + (-2)/(-19).
-33
What is the value of (-289 - -275 - 592/(-42))/(-2)?
-1/21
-9 + (-32)/20*(-150)/40
-3
What is (-15 + 0)*15/36*448/280?
-10
Evaluate 8/(-10)*25/70.
-2/7
What is the value of (-38)/(-133) + (-180)/42?
-4
What is the value of (18/(-10))/(94/470)?
-9
What is (0 - -3)/(-42 + 8260/196)?
21
Calculate (48 - 32 - 7) + -17.
-8
(-9)/12*688/258
-2
Evaluate 6 + -2 - (-18 - -32).
-10
Calculate (-161)/2*(-3462)/(-12117).
-23
What is the value of ((-21)/(-35))/(6/135)*(-42)/(-63)?
9
What is the value of 22 + 1/(19/(-34) + (-29)/(-493))?
20
Evaluate (30/5)/((-80)/160).
-12
-8 - 75/(-15) - (-1 - 0)
-2
Evaluate 3/4*(-1190)/255*36/21.
-6
Calculate -2 + 27/(-20) + 221/(-884).
-18/5
What is the value of (-4 + (-48)/(-18))/(-4)?
1/3
Evaluate (-28)/(-3*11/(-99)*(-6 + 0)).
14
Calculate 21 + -28 + 0/(-17).
-7
What is the value of 1002/(-1503)*(-153)/6?
17
Calculate 5681/(-247) + -3 + 52.
26
Evaluate (-924)/847 + (-40)/44.
-2
What is the value of 57/741*(-169)/(-195)?
1/15
Evaluate (50 + 15 + -31)/(-2).
-17
Evaluate 24/130*(3 + (-45)/90).
6/13
What is the value of ((-238)/(-2))/(120/(-16)) - (-8)/(-60)?
-16
Evaluate (-78)/378 + 14/(-63) + 0/8.
-3/7
Calculate ((-4576)/286)/((-4)/1)*2.
8
What is 0 - (-19 + 169/26 + (-3)/(-2))?
11
2600/(-108) + (-4)/(-54)
-24
What is 150/(-40)*28/(-70)?
3/2
(780/66)/2 + 37/((-296)/48)
-1/11
What is the value of (4 - (1 - 84/(-30))) + (-1)/(-5)?
2/5
What is (-5)/4 + 15810/(-11160)?
-8/3
Calculate (5 - 9)*((-68)/(-16) - 2).
-9
Calculate ((-12906)/16491)/((-1)/23).
18
Evaluate -3 + 7/(7 - 8) - -5.
-5
What is the value of 33/66*(15/27 - 1)?
-2/9
Calculate (-30)/3*((-8)/(-36) + (-7)/(-9)).
-10
What is (-170)/(-12) - 20/130*91?
1/6
What is (93/(-9) + 12)/((-2)/(-30)*5)?
5
What is 6/1 - ((-2088)/(-360) - (0 - 0))?
1/5
Evaluate -6 + 12/(-6) + 9 + (-9 - -8).
0
What is 16/9 - (23 - (8 + 3) - 10)?
-2/9
Calculate (-11 - (-30 - -15)) + (-10 - -18 - 1).
11
Evaluate 30/15 - (86/18 - (-10)/45).
-3
What is the value of 120/22*(-3729)/678?
-30
What is the value of (-365)/4745 + 10*2/(-78)?
-1/3
Calculate ((-2790)/(-84))/15 - (44/8 + -4).
5/7
What is the value of -8 + (44/(-3))/((-74)/111)?
14
Evaluate 4/24 + (-1792)/672.
-5/2
Evaluate 60/(-3) + 0 - (-39 - -49).
-30
What is (0 - 14) + (80/(-24))/((-8)/12)?
-9
Evaluate 5/((116/264)/(-29)*-15).
22
What is (4 - 516/30)*(-25)/15?
22
Calculate (1 - 0)/(10/(-2400)*-24).
10
What is 16/((-144)/(-45)) + -6?
-1
Calculate (-595)/(-34629)*42/(-35).
-2/97
What is 14/(-25)*-5*-5?
-14
What is -12 + -11 + 8 + 3/1?
-12
(72/252)/(((-2)/28)/((-9)/(-30)))
-6/5
Evaluate 10/(-3)*(-1232)/1760.
7/3
(-1)/40*-340*(0 - -2)
17
Calculate (-8)/(-12)*(8 - 2)*(-20)/(-16).
5
What is ((-104)/260)/((-12)/(-15))*66?
-33
What is the value of 304/(-532) - (1 - (-183)/(-112))?
1/16
What is the value of (-35)/((-1050)/60) + (-259)/140?
3/20
((6/4)/(13/(-39)))/((-6)/28)
21
152/(-198) + 2/9
-6/11
(-9)/8 + 558/240
6/5
Calculate (-4 + 3 + (-30)/(-38))/(1 + 1).
-2/19
Calculate ((-1578)/(-1315))/(1/(-15)).
-18
Calculate -69*((888/(-24))/(-111))/(0 - 1).
23
What is the value of 2296/(-144) - 2 - 20/360?
-18
Evaluate (-186)/(-403) - 536/1274.
2/49
Evaluate (1 + -21)*(6/(-32))/((-4)/16).
-15
Evaluate (3 + -2)/((-1)/((-9)/(-36))).
-1/4
Calculate (-7)/((-42)/24) + 3 + (-12395)/1776.
1/48
5274/3809 + (-2616)/1833
-2/47
Evaluate ((16/(-16))/(7/(-2)))/(3 - 4).
-2/7
Evaluate 6/3 - (54/45 + 130/(-25)).
6
Evaluate (275/50)/(33/192).
32
Evaluate 1/(6/(-16))*68/((-1224)/81).
12
136/(-22) - (-56)/308
-6
36/(-3) + 1030/85
2/17
What is 2 - 72/28*(-14)/3?
14
What is (-39)/(-21) + -1 - (-5 + (-1600)/(-266))?
-3/19
What is the value of 2/(-27) + (-124930)/8370?
-15
What is the value of ((-20)/12)/((-65)/78)?
2
Evaluate (-283 + 278)*4/(-500).
1/25
What is 8 + -3*871/312?
-3/8
What is the value of -581*(-7)/343 - 5/(-35)?
12
What is the value of -10 + (-2 + 1 - (-5355)/495)?
-2/11
35/1*(66/(-30))/(-11)
7
Calculate -112*(-32)/(-7360) + (-2)/(-5).
-2/23
What is (-65)/(2275/1260) - -39?
3
What is ((-247)/52 - -11)/5?
5/4
Evaluate ((-30)/(-48))/(-45*120/(-864)).
1/10
Calculate 1/4 - ((-5)/25 - 3857
|
{
"pile_set_name": "DM Mathematics"
}
|
a(b) be the second derivative of x(b). Let a(w) = 0. What is w?
2, 3
Let a(h) be the first derivative of -h**4/42 + 2*h**3/7 - 119. Factor a(y).
-2*y**2*(y - 9)/21
Let d(c) = 3815*c**2 - 12*c + 4. Let j be d(-6). Factor 6480 + 30170*b**2 - 47520*b - 22304*b**3 + 73205*b**4 - j*b**3 + 100510*b**2.
5*(11*b - 6)**4
Let m(q) be the second derivative of -7/12*q**3 + 0 - 1/60*q**6 - 1/8*q**5 - 1/2*q**2 - 3/8*q**4 + 3*q. Factor m(a).
-(a + 1)**3*(a + 2)/2
Let b(v) be the third derivative of v**7/1365 - v**5/39 + 3*v**3/13 - 14*v**2 - 3*v. Determine x so that b(x) = 0.
-3, -1, 1, 3
Let a(k) be the second derivative of -1/18*k**4 + 7*k + 1/63*k**7 - 1/30*k**5 + 0*k**2 + 0*k**3 + 0 + 1/45*k**6. Factor a(p).
2*p**2*(p - 1)*(p + 1)**2/3
Let b(c) be the first derivative of 1/6*c**3 + 38 + 1/2*c - 1/2*c**2. Factor b(n).
(n - 1)**2/2
Let j be 0 + ((-10)/(-40))/((-21)/(-2)). Let c(s) be the third derivative of 0 + 1/56*s**4 - s**2 + 1/210*s**5 + j*s**3 + 0*s. Let c(q) = 0. Calculate q.
-1, -1/2
Let m(v) be the first derivative of -5*v**8/672 + v**7/84 - 17*v**2/2 - 19. Let k(y) be the second derivative of m(y). Determine u so that k(u) = 0.
0, 1
Let f(j) be the third derivative of -j**7/672 + j**6/288 + 5*j**5/96 + 5*j**4/32 - 17*j**3/6 + 8*j**2. Let r(x) be the first derivative of f(x). Factor r(b).
-5*(b - 3)*(b + 1)**2/4
Let a(m) = 6*m**3 - m**2 - 5*m + 14. Let d(q) = -q**3 - q**2 + q. Let o(l) = a(l) + 5*d(l). Let i(b) be the first derivative of o(b). Factor i(r).
3*r*(r - 4)
Let t(b) = 2*b - 6. Let z be t(4). Let f be 40/(-39) - 64/1248*-26. Let 0*y + 0 + f*y**z - 6/13*y**3 + 2/13*y**4 = 0. Calculate y.
0, 1, 2
Let j be 2*1/2*-40. Let s(g) = 2*g**3 + 138*g**2 + 1215*g + 3642. Let b(i) = 25*i**3 + 1795*i**2 + 15795*i + 47345. Let y(x) = j*s(x) + 3*b(x). Factor y(v).
-5*(v + 9)**3
Let x(d) be the first derivative of d**4/12 + 7*d**3/9 - 4*d**2/3 - 55. Factor x(n).
n*(n - 1)*(n + 8)/3
Let t(y) be the third derivative of y**6/30 - y**5/60 - y**4/6 + y**3/2 + 11*y**2 + 4*y. Let w be t(1). Factor 96/5*i - 24/5*i**w - 128/5 + 2/5*i**3.
2*(i - 4)**3/5
Let u(b) be the second derivative of -b**5/100 - b**4/6 + 13*b**3/10 + 4*b. Determine s, given that u(s) = 0.
-13, 0, 3
Factor 68*y - 54 - 50*y - 4*y**2 + 80*y + 6.
-2*(y - 24)*(2*y - 1)
Suppose 4*p - 18 + 18 = 0. Let k(j) be the third derivative of 0*j**3 + 0*j**5 - 1/210*j**7 + 0*j**4 + p*j - 1/84*j**8 + 0 + 0*j**6 + 5*j**2. Solve k(f) = 0.
-1/4, 0
Let p(v) be the first derivative of 3462*v**3 - 243*v - 18 - 135*v**2 + 53 - 3487*v**3. What is m in p(m) = 0?
-9/5
Factor -38225 - 1512*f + 46*f**2 - 95*f**2 + 45*f**2 + 23228 - 127887.
-4*(f + 189)**2
Let w(q) be the third derivative of -q**5/120 - 7*q**4/16 - 5*q**3/3 - 424*q**2. Find j, given that w(j) = 0.
-20, -1
Let y(o) be the first derivative of o**3/15 + 7*o**2/5 + 21. Suppose y(l) = 0. Calculate l.
-14, 0
Suppose 3*d + 0*d = -c - 6, 2*c - 4*d - 18 = 0. Let l**2 + l**c - 3*l + 5*l - 2*l**3 = 0. What is l?
-1, 0, 2
Let l(n) be the second derivative of n**4/6 + n**3 + 2*n**2 + 113*n. What is i in l(i) = 0?
-2, -1
Let z(k) be the first derivative of -k**4/4 - 7*k**3/3 + 9*k**2/2 + 11*k + 17. Let a be z(-8). Factor 2/3*w - 1/2*w**a + 0*w**2 + 0 + 1/6*w**4.
w*(w - 2)**2*(w + 1)/6
Let x(i) = i**2 + 1. Let h(t) = -10*t**2 + 30*t + 75. Let s(d) = -h(d) - 5*x(d). Factor s(q).
5*(q - 8)*(q + 2)
Solve 65/4*j**3 - 15/4*j**5 + 0 - 10*j**2 - 5*j + 5/2*j**4 = 0.
-2, -1/3, 0, 1, 2
Determine m so that -1/5*m**2 - m + 14/5 = 0.
-7, 2
Let l = 3343/13516 - -9/3379. Factor -3/2 + 0*y**2 - 7/4*y + l*y**3.
(y - 3)*(y + 1)*(y + 2)/4
Let h be (-9 - 31/(-4))*-4. Let a(u) be the third derivative of 0 + 1/200*u**6 + 3/40*u**4 + 3/100*u**h + 0*u + 1/10*u**3 - 3*u**2. Factor a(l).
3*(l + 1)**3/5
Suppose -4*n - 6 - 5 = 3*w, 3*w - 24 = 3*n. Let p = 7 + n. Factor 0 - 1/3*h**4 + 0*h - 1/3*h**3 + 0*h**p.
-h**3*(h + 1)/3
Let c(z) be the second derivative of -z**5/20 + z**4/4 + 3*z**3/2 - 27*z**2/2 - 6*z. Factor c(s).
-(
|
{
"pile_set_name": "DM Mathematics"
}
|
prime factors of h(-4).
11
Let g = -51 - -94. List the prime factors of g.
43
Let g = 63 - 35. Let b = g - 9. What are the prime factors of b?
19
Suppose -5*n + 190 + 55 = 2*a, -5*n - 100 = -a. List the prime factors of a.
5, 23
Let p = -1 + 9. Let o = -5 + p. List the prime factors of o.
3
Let m(h) = -9 + 8 + 9*h - 2 + h**2. What are the prime factors of m(-10)?
7
Let m = -7 + 10. Let g = m - 0. What are the prime factors of g?
3
Let d(n) = -4*n - 4*n + 7*n. Let c be d(0). Suppose -4*p - 3*v + 18 - 6 = c, -p + 3 = -v. List the prime factors of p.
3
Let i(l) = 6*l. What are the prime factors of i(6)?
2, 3
Suppose -d = -4*p + 2*d - 7, -5*p - d = 4. Let w be 3 + 0 + 0 + p. Suppose 12 - 38 = -w*r. What are the prime factors of r?
13
Let h = 1 + 99. Suppose -5*a = -a - h. Suppose 19 = 4*z - a. List the prime factors of z.
11
Let i = 4 + 2. Suppose -5*s + 69 = -i. List the prime factors of s.
3, 5
Let l = 45 + -27. List the prime factors of l.
2, 3
Suppose -5*p + 0*n + 13 = 4*n, n = -4*p + 6. Suppose 0 = q - 3 + p. List the prime factors of (2/(-2))/((-1)/q).
2
Let q be (-710)/(-15)*(-9)/6. Let y = -41 - q. List the prime factors of y.
2, 3, 5
Let z(j) be the second derivative of j**4/12 - j**3/6 - j**2/2 - j. Let m be z(2). What are the prime factors of 1 + m/1 + 4?
2, 3
Let x(j) = j**3 - 4*j**2 - 2*j - 3. Let v = 4 - -1. Let y be x(v). Let t = -4 + y. List the prime factors of t.
2
Suppose -5*j = -i - 4*i - 20, -5*j + 30 = 5*i. What are the prime factors of j?
5
Suppose -3*a = -i - a + 59, -3*i + 133 = 5*a. What are the prime factors of i?
3, 17
Let u = -43 + 60. Suppose -d + 6 = -u. Let j = d - 13. What are the prime factors of j?
2, 5
Let q be (-3)/(-2) + (-561)/(-34). Suppose -3*c = -q - 57. List the prime factors of c.
5
Let n(o) = -o**2 + 9*o + 3. Let h be n(9). Suppose -2*l = z - 21, -z - h*z + 62 = -3*l. What are the prime factors of z?
17
Let j(s) = -s**3 + 6*s**2 + 9*s - 1. Let a(t) = t + 12. Let m be a(-5). List the prime factors of j(m).
13
Suppose 0 = -9*k + 8*k + 30. What are the prime factors of k?
2, 3, 5
Suppose 4*z + 0*z - 316 = -2*a, -2*z + 162 = 3*a. What are the prime factors of z?
2, 3, 13
What are the prime factors of (-3 + 52/(-8))*-2?
19
Let z(u) = -u + 3. Let s be z(-5). What are the prime factors of (-3)/(-4) - (-58)/s?
2
What are the prime factors of (-4)/1 + 33 + 6?
5, 7
Let s(c) be the first derivative of c**3/3 - 2*c + 4. What are the prime factors of s(-2)?
2
Let d(i) = i**2 - 3*i - 2. Let w be d(4). Suppose -w*t - 4*h + 8 = -26, -25 = -5*h. What are the prime factors of t?
7
Suppose 4*p - 32 = -f + 5*p, -6 = 2*p. What are the prime factors of f?
29
Suppose 0 = -0*p + 4*p + 5*j - 378, -4*p = 3*j - 374. List the prime factors of p.
2, 23
Suppose -4*b - 13 = -s, 5*b + 13 = -2*s - 0. Suppose -s = -3*z + 59. What are the prime factors of z?
2, 5
Let x = 9 - -19. List the prime factors of x.
2, 7
Let c(i) = 3*i**3 - 2*i**2 - 2*i + 4. List the prime factors of c(2).
2
Let t be (-12)/8*(-32)/(-6). Let q be (-4)/16 + (-42)/t. Suppose q*k + 5 = -2*p - 0*k, 14 = p - 3*k. List the prime factors of p.
5
Let x = 0 - -9. Suppose t - x = 3*y, -t + 3*y + 21 = 4*t. Suppose w + 16 = t*w. What are the prime factors of w?
2
Let j(r) = -r**3 - r**2 + 3. List the prime factors of j(-6).
3, 61
Let n(m) = 2*m**3 + 1. Let g be n(-1). What are the prime factors of 2 - 12/g - -3?
17
Let n be ((-20)/(-6) - 3)*-21. What are the prime factors of 24*(n/2)/(-7)?
2, 3
List the prime factors of 31 - ((-10)/15)/(4/(-6)).
2, 3, 5
Let a(z) = 5*z**2 - 2*z + z + 1 + z. What are the prime factors of a(-2)?
3, 7
Suppose -456 = -5*h - 2*m, -h = -6*h + 4*m + 468. List the prime factors of h.
2, 23
What are the prime factors of 4/(-24) - (-1454)/12?
11
Suppose 6*f - 5*n = f + 5, 5*n = -4*f - 5. Suppose f = 5*w - 161 + 46. Suppose -5*c + w = -2. List the prime factors of c.
5
Suppose 0*x - x + 4 = 0. Let n(k) = 12*k**2 + k - 1. Let d be n(1). Let q = x + d. What are the prime factors of q?
2
Suppose -3*r + 237 = 2*r - 2*l, 114 = 2*r + 4*l. What are the prime factors of r?
7
Let j(p) = -p**2 + 9*p + 3. Suppose -3*k - 63 = -21. Let d = 23 + k. What are the prime factors of j(d)?
3
Suppose 5*g - 27 = 18. Suppose 3*p + g = -0*p. List the prime factors of 7 + (p - -2) - -1.
7
Suppose u = -0 - 2. Let n be ((-2)/6)/(u/66). Let a = n + -1. What are the prime factors of a?
2, 5
Let u(o) = -6*o + 6*o + 2 + 5*o. Let j be u(5). Suppose 4*m - 1 - j = 0. List the prime factors of m.
7
Let j be (-156)/10 + 4/(-10). Let q = -11 - j. List the prime factors of q.
5
List the prime factors of ((-4)/5)/(2/(-240)).
2, 3
What are the prime factors of (-5)/(30/(-144)) - (-1 + -1)?
2, 13
Let a(n) be the second derivative of 0 + 5/2*n**2 + n + 2/3*n**3 - 1/20*n**5 - 1/4*n**4. What
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 12.68637. Let b = -2.43 - -2.3. Let q = b - d. Round q to 7 dps.
-0.0000018
Suppose 2144000 = -207*q + 209*q. Round q to the nearest one hundred thousand.
1100000
Let t = 70 - 65. Suppose 2*j - 12002 = g + j, 0 = -t*g - 2*j - 59996. Round g to the nearest 1000.
-12000
Suppose 2*z - 904 - 116 = 0. Round z to the nearest ten.
510
Suppose 2*o - 2408 = -2*o. Suppose o = -4*x + 126. What is x rounded to the nearest ten?
-120
Let z(n) be the third derivative of -2*n**5/15 + n**4/8 - 7*n**3/6 - 5*n**2. Let x be ((-7)/2)/(2/4). Let m be z(x). Round m to the nearest one hundred.
-400
Let y = 182738920.1 - 181880977.320093. Let w = -858018.78 + y. Let u = w - -76. Round u to five decimal places.
-0.00009
Let k(x) = -x**2 + 3*x. Let g be k(3). Suppose g = 4*l - 20, -i - 11626557 = 2*i - 3*l. Let b = 375514 + i. Round b to the nearest 1000000.
-4000000
Let n = 856 + -856.002936. Round n to 4 decimal places.
-0.0029
Let m = 749645421507.99967 + -749651019914. Let s = -5598352 - m. Let p = 54 - s. What is p rounded to 4 decimal places?
-0.0003
Let j = -212 - -202.83. Round j to the nearest integer.
-9
Let k = -29.0535 + 0.1935. Let w = 30 + k. What is w rounded to one dp?
1.1
Let d = -262.0231 - -0.0231. Let n = d + 262.00394. What is n rounded to four dps?
0.0039
Let l = 1348.22 - 1336. Round l to one decimal place.
12.2
Let d(n) = 32*n**2 - 9*n - 34. Let y be d(5). Round y to the nearest ten.
720
Let w = -28 - -17. Let i = w + 5. Let v = i - -6.0003. Round v to four decimal places.
0.0003
Let x = 0.0289 + -0.0458. What is x rounded to three dps?
-0.017
Let b = -352936 + 213936. Round b to the nearest 10000.
-140000
Let x = 8.77 - -0.23. Let g = 9.2 - x. Let j = -0.2000096 + g. Round j to six decimal places.
-0.00001
Let b = 25.4 + -25.39194. What is b rounded to three dps?
0.008
Let p = 1.42 - -0.64. Let m = -2.06266 + p. What is m rounded to 4 dps?
-0.0027
Let y = 73.4 + -10.4. Let f = -66.8 + -12.7. Let z = f + y. What is z rounded to the nearest integer?
-17
Let v = -1.54 + 1.5. Let q = 0.2 - v. Let a = q + -0.23954. Round a to 4 decimal places.
0.0005
Let n(f) = -102669*f + 35. Let o(m) = -m + 24. Let b be o(9). Let p be n(b). What is p rounded to the nearest one hundred thousand?
-1500000
Let w be 2 + (20 - 1) + -3. Let h be 6/27 + 6746/w. Let r be -4*(-1)/12*h. Round r to the nearest ten.
130
Let a = -5.91 - 0.09. Let q = -7.3 - a. Let i = q + 1.29993. Round i to 5 dps.
-0.00007
Let c = -4978.1 - -5204. What is c rounded to the nearest 10?
230
Let d = 0.137 - 0.073. Let t = 7.045206 + -7.1091. Let n = d + t. What is n rounded to five decimal places?
0.00011
Let d = -0.073 - 5.467. Round d to 0 dps.
-6
Let k(h) = 5*h**2 + 2*h + 2. Let s be k(-1). Suppose s*i - i + 24 = 0. Let c be (-80)/4*(-219)/i. Round c to the nearest one hundred.
-700
Suppose -o + 3*o - 334 = 0. Let i = 73 - o. Round i to the nearest one hundred.
-100
Let z = 12.3 + 0.7. Let x = z - 10.4. Let c = 2.5999935 - x. What is c rounded to 6 dps?
-0.000007
Let o = 1175697713 + -1175680665.620076. Let y = -17047 + o. Let m = y + -0.38. What is m rounded to 5 decimal places?
-0.00008
Let o = -0.16 + 0. Let h = -0.5 - o. Let w = h - -0.3400035. Round w to 6 decimal places.
0.000004
Let s(m) = -m**2 - 300000. Let k be (-2 - -1) + 2 + 1. Suppose -k*d = d + 3*q + 9, 3*q + 9 = 4*d. Let t be s(d). Round t to the nearest 1000000.
0
Let h = -41 + 57.6. Let n = h - 85.6. Let q = n + 69.000091. What is q rounded to 5 decimal places?
0.00009
Let o = -13.1 + 29.8. Let m = -1.8 + -16.2. Let l = m + o. What is l rounded to 1 dp?
-1.3
Let w = 400.9647 - 401. What is w rounded to 3 decimal places?
-0.035
Let s(z) be the third derivative of 151*z**5/12 - z**4/6 - 6*z**2. Let y be s(-9). Let i be (-1)/4 - y/36. Round i to the nearest one thousand.
-2000
Let o = 185.061 + -185. What is o rounded to 1 decimal place?
0.1
Let t = 988425882.932454283 + 0.067545717. Let d = -988425918.00000063 + t. Let f = d + 35. What is f rounded to 7 decimal places?
-0.0000006
Let q = 2498.65 + -2553. What is q rounded to the nearest ten?
-50
Let k = -58 + -55. Let p = -112.853 - k. Let q = p - 0.1469897. What is q rounded to six decimal places?
0.00001
Let w(t) = -t**3 + 10*t**2 + 50*t - 231. Let i be w(39). Round i to the nearest ten thousand.
-40000
Let m(l) be the second derivative of l**4/3 + l**3/3 + 3*l**2/2 - 8*l. Let w be m(3). Let i be 27/w + 418/(-5). Round i to the nearest 10.
-80
Let s be 60/(-45) - 2/3. Let d be (-5992008)/56 - s/14. What is d rounded to the nearest one hundred thousand?
-100000
Let n = 11131 - 11130.92889. What is n rounded to 3 decimal places?
0.071
Suppose p = -0*p - 4*j + 26, 0 = -p + 2*j + 44. Suppose -3*t + 0*i + 32 = -5*i, 4*t = 2*i + p. Let d = t + -9. What is d rounded to the nearest 10000?
0
Let p(y) = -2*y**2 - 14*y - 15. Let d be p(-5). Suppose 4*h + 19 = a - 31, -d*a = 3*h + 26. What is h rounded to the
|
{
"pile_set_name": "DM Mathematics"
}
|
e -o*u = -4*c - 784, c = 3*u + 3*c - 760. What is the highest common factor of 8 and u?
8
Suppose 4 + 0 = 2*i. Suppose d + i*d = 24. Suppose 5*g + 172 = 2*w + 6, 4*w - 5*g = 342. What is the greatest common factor of w and d?
8
Suppose 4*d + 4*n + 30 = 254, 0 = -5*d - n + 280. Let a = d + 12. What is the highest common divisor of a and 4?
4
Suppose -22*r + 0*r + 144 = -6*r. Let i = 233 + -161. Calculate the highest common divisor of r and i.
9
Suppose -i = -0*w - 2*w + 23109, -i = 2*w - 23119. What is the highest common factor of 273 and w?
91
Let w be 1/3 - 3*(-24)/27. Let b be w/(-8)*-2 + (-21)/(-4). Suppose -b*j = -87 - 81. Calculate the greatest common divisor of 4 and j.
4
Suppose 0 = 15*d - 45*d + 16866 + 34974. Calculate the greatest common factor of d and 513.
27
Let i(x) = -45 - 31*x + 15*x - 2*x**2 + 0*x**2 + x**2. Let y be i(-11). What is the highest common divisor of y and 10?
10
Let l = -304 - -308. Suppose -l*k + 22 + 44 = -5*g, 0 = 2*k - 2*g - 32. What is the highest common factor of 77 and k?
7
Suppose -239 = 4*u - 43. Let d = -46 - u. Suppose d*l = 0, -3*h + 3*l + 312 + 33 = 0. What is the greatest common factor of 46 and h?
23
Let l(p) = -4 + 4*p - 9*p**3 - 6*p**3 + 13*p**3 + 2*p**2. Let u be l(-4). Calculate the highest common factor of u and 112.
28
Let r(p) = -6*p + 35. Let s(c) = 5*c - 36. Let a(d) = 2*r(d) + 3*s(d). Let h be a(10). Let n = 28 + h. What is the highest common divisor of n and 160?
20
Let x(t) = 5*t**2 - 1155*t - 6950. Let l be x(-6). What is the highest common divisor of l and 1880?
40
Suppose 19*z - 25596 = 77289. Calculate the greatest common divisor of z and 456.
57
Suppose 31*w = 62*w - 0*w - 806031. What is the greatest common factor of w and 243?
243
Suppose 3*b + 8210 = 14*u - 13*u, -4*b + 16470 = 2*u. Calculate the highest common factor of u and 35.
35
Let r be 7/(-21) - -148*3/9. What is the greatest common factor of 2401 and r?
49
Let c = 49 - 31. Let s be 3/c - (671/(-6) + 0). Let t be (48/(-4))/((-6)/8). What is the highest common factor of t and s?
16
Suppose -4*w + 4*b + 1162 = w, -3*w = -5*b - 705. Let y(o) = 2*o**2 - 263*o + 1275. Let l be y(5). Calculate the highest common factor of w and l.
10
Suppose 4*v = 4*b - 132, -112*b + 186 = -107*b + 2*v. Let z = 40 + -23. Let q = 25 - z. What is the greatest common divisor of b and q?
4
Suppose 3*j - 3 - 16 = -2*s, -15 = -j - 5*s. Let g(v) = -4 + 1 + j + 1 + 37*v. Let f be g(1). Calculate the greatest common divisor of 10 and f.
10
Suppose -226*k = -69*k - 10205. Calculate the greatest common divisor of k and 793.
13
Let y = -3970 - -4210. Calculate the highest common factor of y and 912.
48
Let n = -125 - -127. Let k(s) = s**3 + 12*s**2 + 30*s - 5. Let h be k(-4). Calculate the greatest common factor of h and n.
1
Suppose -46 = -3*a - 7. Suppose -3*x - a = -127. Let i = 113 - x. What is the greatest common divisor of i and 15?
15
Let x(f) = f + 4. Let o be x(10). Let v(y) be the third derivative of y**5/60 - y**4/24 + y**2. Let z be v(2). Calculate the highest common factor of o and z.
2
Let o = 10395 - 8540. What is the greatest common divisor of o and 2385?
265
Let u(w) = -w**3 - 21*w**2 + 22*w + 21. Let a be (-10)/15 - 200/(-3). Let l = a + -88. Let s be u(l). What is the highest common divisor of 3 and s?
3
Suppose -105 + 25 = -5*q. Let k = -670498 - -670578. Calculate the highest common divisor of q and k.
16
Let i = 343 + -167. Let y(s) = -3*s + 11. Let o be y(-9). Let a = -16 + o. Calculate the highest common factor of i and a.
22
Suppose 8 = 39*a - 37*a. Suppose f = -n + 149 + 21, a*f - 340 = -2*n. Calculate the highest common divisor of n and 20.
10
Suppose 5*d = -f + 5*f + 9, 16 = 4*d - f. Suppose -r + d - 1 = 0. Suppose r*l + 37 = 289. What is the highest common divisor of l and 9?
9
Suppose m + 6*m = 1960. Suppose 0*t + 8 = 2*t, m = 5*d + 5*t. What is the highest common factor of 39 and d?
13
Suppose -6*m = -2*m - 320. Let l(u) = -u**3 + 8*u**2. Let q be l(8). Suppose -9*f + 14*f - m = q. Calculate the greatest common divisor of 144 and f.
16
Let l = 72 + -68. Suppose -12 = -l*d + 4*m, 3*m = -m - 12. Suppose -4*c - 4*c + 16 = d. Calculate the greatest common divisor of c and 8.
2
Let f be (-60)/(-27) - 2/9. Let t be 32 + 0*f/6. Suppose 2*z - n - 49 = 267, z = 3*n + 148. Calculate the greatest common divisor of z and t.
32
Suppose 37*c + 975 = 40*c. Let j be 1 + 4 + -31 + 26 + c. Calculate the greatest common factor of j and 25.
25
Let m(l) = 5*l**2 + 16*l + 4. Suppose 9*o + 5 = 8*o. Let v be m(o). What is the greatest common divisor of v and 196?
49
Suppose 0 = 2*x + 1554 - 1618. Calculate the greatest common factor of 568 and x.
8
Suppose 7*h + 2371 = 7586. Calculate the highest common divisor of h and 1043.
149
Suppose 0 = -42*u - 40*u + 9840. Calculate the highest common divisor of 228 and u.
12
Suppose 70 = 10*p - 90. Suppose -5*a + 839 = 5*w - p, 2*a = -4*w + 334. What is the greatest common divisor of 35 and a?
35
Let b be 36/(-3)*28/6. Let t = -51 - b. Suppose -t*u + 8 = -17. What is the highest common factor of 55 and u?
5
Let b be (-191)/(-7) + 68/(-238). Let y be (9/2)/(1194/396 + -3). What is the highest common divisor of b and y?
27
Let a(n) = 3*n**2 - 93*n - 655. Let o be a(-7). What is the greatest common divisor of 1235 and o?
13
Let l(x) = -30*x - 17
|
{
"pile_set_name": "DM Mathematics"
}
|
z - 4876 wrt l.
4*l*z + 28928*z - 3
Find the second derivative of -3*n**2*u**2 + 315*n**2*u + 2*n*u - 630*u**4 - u**3 - 108*u wrt u.
-6*n**2 - 7560*u**2 - 6*u
What is the third derivative of -427722*c**5 - 5*c**2 + 5764*c?
-25663320*c**2
Find the second derivative of -1487*c**2*g**3 + 2*c**2 - 75*c*g**3 + 2*c*g + 125*g + 1 wrt g.
-8922*c**2*g - 450*c*g
What is the third derivative of -327*j**4 + 1578*j**3 - j**2 - 599398*j - 1 wrt j?
-7848*j + 9468
What is the second derivative of -368*g**3 + 958*g**2 + 5435245*g wrt g?
-2208*g + 1916
What is the third derivative of -66030*u**5 + 3526*u**2 + 6*u?
-3961800*u**2
Find the second derivative of 1539494*i**2 + 4926*i - 123.
3078988
What is the third derivative of -338*r**6 + 1140*r**2 - 15*r wrt r?
-40560*r**3
Find the third derivative of 15171*h**4 - 66*h**2 - 62.
364104*h
What is the derivative of -131*f**4*z - 1053*f**3 + 2*f*z - 455340*z wrt f?
-524*f**3*z - 3159*f**2 + 2*z
What is the second derivative of -4512*q**2*r**2 + 165*q**2*r - 4080*q*r**2 + 2*q*r - 6*r**2 wrt q?
-9024*r**2 + 330*r
Find the third derivative of 220*m**5 - 350*m**3 + 11*m**2 - 1579.
13200*m**2 - 2100
What is the first derivative of 206458*f*w - 212333*f wrt w?
206458*f
What is the first derivative of -1158*i*l - 151*i + 63*l + 772 wrt l?
-1158*i + 63
Differentiate 358090*o**3 - 139921 wrt o.
1074270*o**2
Find the third derivative of f**6 - 6511*f**5*v + 1336*f**2*v + 6*f**2 wrt f.
120*f**3 - 390660*f**2*v
Find the first derivative of 29*a**2*d**2 - a**2*d + 2*a**2 - 89*a*d**2 - 3958*a + 3 wrt d.
58*a**2*d - a**2 - 178*a*d
Find the first derivative of -106984*m**2 - 81587 wrt m.
-213968*m
What is the third derivative of -612726*h**3*k**3 + 6*h**3*k**2 + 24*h**2*k**2 + 2*h*k + k**2 + 24 wrt k?
-3676356*h**3
Find the first derivative of 2*x**2*y**2 - 30*x**2*y + x*y**2 - 413*x + 79273*y**2 wrt x.
4*x*y**2 - 60*x*y + y**2 - 413
Find the second derivative of n**3 + 170310*n**2 + 5*n + 3239.
6*n + 340620
Find the third derivative of 175082*l**2*y**3 + 2632*l**2*y - 4*y**2 wrt y.
1050492*l**2
What is the third derivative of 5*b**6*p - 471*b**4*p**2 - 5*b**2*p**2 + 2*b**2*p - 17*b*p**2 + 6*b + 11*p**2 wrt b?
600*b**3*p - 11304*b*p**2
What is the third derivative of -139129*f**4 - f**3 + 7*f**2 - 206*f - 12?
-3339096*f - 6
What is the second derivative of -605*c**2*l**3 + 19*c**2 + 5*c*l**3 + 2311*l**3 wrt c?
-1210*l**3 + 38
What is the third derivative of -4*j*p**3*r + 26929*j*p**3 + 3*j*p**2*r - 2613*j + 2*p**2*r + 9*p*r wrt p?
-24*j*r + 161574*j
What is the second derivative of -23235*q**3*x**2 - 27*q**3*x - 722*q*x wrt x?
-46470*q**3
Find the first derivative of 22688*b + 9966.
22688
Find the third derivative of -94401*w**3 - 4243*w**2 - 22*w.
-566406
Differentiate -510866*f**2*v**3 + 1406*f**2 + 17*f wrt v.
-1532598*f**2*v**2
What is the third derivative of 20*i*t**6 - 694*i*t**3 - 2*i*t**2 + 57173*t**2 wrt t?
2400*i*t**3 - 4164*i
What is the derivative of 973*c**3 + 26*c**2 + 10*c + 132098 wrt c?
2919*c**2 + 52*c + 10
What is the third derivative of 10597*o*s**3*w - o*s**2 - 2*s**3*w - 51*s**2 + 4936*w wrt s?
63582*o*w - 12*w
Find the second derivative of 37481*g**2 + 15535*g wrt g.
74962
What is the second derivative of g*x**3 - 5*g*x**2 - 51429*g*x - 524*x**3 + 1 wrt x?
6*g*x - 10*g - 3144*x
What is the third derivative of 193*p**4 - 136*p**3 - 4766978*p**2?
4632*p - 816
Find the second derivative of 23*q**3 - 328*q**2 + 28723*q wrt q.
138*q - 656
Differentiate 60813*p*v**3 - 4*v**3 - 8*v**2 + 967*v wrt p.
60813*v**3
Find the second derivative of 65*i**4 + 211*i**2 - 11*i - 814.
780*i**2 + 422
What is the third derivative of 3853485*c**5 - 297143*c**2 wrt c?
231209100*c**2
What is the third derivative of -723717*p**5 + 5814*p**2 + 12*p?
-43423020*p**2
Differentiate 333624*p - 1215682.
333624
What is the second derivative of -126121*f**4 + 181228*f?
-1513452*f**2
Find the first derivative of -2445*k**2*m**3 + 61*k*m*o**2 + 13143*m**3*o**2 - 20*m**3*o wrt k.
-4890*k*m**3 + 61*m*o**2
What is the third derivative of 2*d*j**2*v**3 - d*j*v**3 + d*j*v**2 + 4*d*v**2 - 1063*j**2*v**3 - 143*j**2 + 1 wrt v?
12*d*j**2 - 6*d*j - 6378*j**2
Find the third derivative of -9835*g**5 + 51*g**4 - 147*g**2 - 168*g.
-590100*g**2 + 1224*g
What is the first derivative of 10447*g**2*v**2 - 805609*g**2
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + c*l + o*l**4 + k + u*l**3 and give o.
51048
Express (14 + 7*r - 14)*(-14*r**3 - 5*r**3 + r**3)*(2 + 0 - 4)*(10 + 0 + 1) as d + b*r + y*r**4 + l*r**3 + p*r**2 and give y.
2772
Rearrange 0*a - 9 + 2*a - 37 - 4*a + 3 to x + k*a and give k.
-2
Rearrange -126458 + 56*a**2 + 63232 + 63228 + 11*a to the form c*a + o + u*a**2 and give o.
2
Rearrange -15064*r - 9*r**3 - 202*r**3 + 15063*r - 1 to the form h*r + m*r**3 + a*r**2 + o and give h.
-1
Express 10 + o**2 - 8*o**3 + 4114*o + 4106*o + 4113*o - 12341*o as n*o**2 + h + v*o**3 + q*o and give n.
1
Rearrange 0*b**2 + 13*b + 67*b**3 - 175*b**3 + 109*b**3 + 1 + 0*b**2 + 2*b**2 to the form t*b**3 + d*b**2 + l*b + r and give l.
13
Rearrange (32 - 84 + 43)*(-15 - 14 + 7)*(0 - 3 + 1)*(k**2 - k**2 + 4*k**2) to the form o*k + h*k**2 + f and give h.
-1584
Express (-2*g**2 - g + g)*(1 - 2 + 3 + 5 + 50 - 9 + (-2 - 1 + 2)*(-3 - 2 + 7) + 0 - 3 + 6)*(6 - 1 - 3) in the form b + c*g + l*g**2 and give l.
-196
Express -2 + 5243*l + 0 - 1504*l as d + a*l and give d.
-2
Express (1 - 1 + 1)*(-1 + 0 + 0)*(804*j - 13443 + 13443) in the form y + n*j and give n.
-804
Rearrange -89*x**3 - 87*x**3 + 174*x**3 - 7*x**2 + 26 + 2*x + 11 to v*x**3 + n*x**2 + b + s*x and give v.
-2
Rearrange k**4 - 2*k**2 + 234 + 36 + 2*k**3 - 270 - 755*k to the form x + p*k**2 + d*k + z*k**4 + h*k**3 and give p.
-2
Express -108 + 367*z**2 - 110*z**2 - 248*z**2 in the form u*z + y + g*z**2 and give u.
0
Rearrange -2860*m + 0 + 0 + 2672*m + 15689*m to the form c*m + i and give c.
15501
Rearrange (108*h**2 + 6*h - 4*h + 1610*h**2 - 2*h)*(-3 + 2 - 4) - h**2 + 0*h**2 + 2*h**2 to m + t*h**2 + r*h and give t.
-8589
Rearrange (13 - 18 + 106 + (0 - 1 + 0)*(1 - 3 + 1) + 3 - 3 + 2)*(q + 2*q - 2*q + (10 - 1 + 2)*(-2*q + 1 - 3 + 0)) to y*q + j and give y.
-2184
Rearrange (-43*n**2 + 79*n**2 + 1 - 17*n**2)*(190*n + 151*n + 148*n) to the form i*n**2 + v*n + u*n**3 + d and give u.
9291
Express -3*w + 63*w**3 + 8*w**4 + 6 - 2 + 1 - 62*w**3 + 6*w**2 - 6*w**4 as a + s*w**2 + q*w + n*w**3 + r*w**4 and give s.
6
Rearrange (-107*z**2 + 60 + 48*z**2 + 61*z**2)*(11 + 39*z - z**2 + 46*z - 86*z) to y*z**2 + d + o*z + v*z**4 + j*z**3 and give d.
660
Express -26041500 + 26041500 - 26682*m as q + x*m and give x.
-26682
Rearrange 198*p**2 + 927 + 208*p**2 - 218*p**3 - 406*p**2 + 211*p**3 to h + q*p + f*p**3 + a*p**2 and give h.
927
Rearrange 12*s**2 - 2908*s + 2907*s - 2 - 2*s**2 - 4*s**2 - 3*s**3 to c*s**3 + n*s**2 + v + r*s and give n.
6
Rearrange (3 + 2 + 3)*(1 - 2*n - 1)*(-6 + 2 + 0 + (-3 + 4 + 0)*(0 + 1 + 0) + 474 + 372 - 156 + 71) to the form t + a*n and give a.
-12128
Rearrange -636*c - 43*c**3 + 628*c - 51*c**4 + 18*c**3 + 10*c**3 + 17*c**3 to the form f + a*c**2 + d*c**3 + m*c + r*c**4 and give r.
-51
Rearrange -342*y**4 - 5*y + 4*y + y**3 - 37 + 339*y**4 - y**2 + 30 to the form j*y + c + d*y**3 + i*y**4 + r*y**2 and give c.
-7
Rearrange 21*s + 13*s + 16*s - 2*s**2 - 90 - 50*s to the form d*s**2 + n*s + i and give i.
-90
Express 9*a + 270298*a**3 - 270303*a**3 - 12*a**4 + 19 - a**2 - 18 in the form s*a + u + k*a**4 + p*a**2 + h*a**3 and give u.
1
Rearrange 2*p + 2*p - 2*p + 2*p + 2*p - 2*p + 3*p + p - 2*p + 2*p - p + 0*p + (-4 + 4 - 1)*(-6*p + 3*p + p) + 5717*p - 39*p - 105*p to b + l*p and give l.
5582
Express 25*b + 1259881*b**2 + b**3 - 1259881*b**2 + 217 in the form j*b**3 + t*b**2 + f + h*b and give f.
217
Express 205827*x**4 + 14*x**2 - 205824*x**4 + 3*x**3 + 144*x**2 as m + z*x**4 + s*x**3 + w*x**2 + v*x and give s.
3
Rearrange -880*a**3 + 1773*a**3 - 2*a + 117 + a**2 - 892*a**3 to the form b + o*a**3 + l*a**2 + u*a and give l.
1
Express -a**3 + 3036 + 212*a**4 + 3*a**2 - 213*a**4 - 3080 in the form x + u*a**4 + v*a**3 + r*a + w*a**2 and give w.
3
Rearrange (2 - 2 + j)*(0 - 2 - 2)*(-55*j + 32*j + 5*j) to the form m*j**2 + d*j + u and give m.
72
Rearrange -5011*p - 7128*p + 516*p + 145*p to b*p + k and give b.
-11478
Rearrange (2*k - 2*k + 2*k)*(-4*k + 5*k - 2*k)*(-156*k**2 - 5086 + 5086) to the form q*k**2 + t*k**4 + n*k**3 + h*k + w and give w.
0
Rearrange (-4 + 2 + 3)*(1 - 1 - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 7*d. Suppose -9 = -3*s + 15. Let l be u(s). What is l rounded to the nearest 10000?
-130000
Suppose 7 = 4*n + 3. Suppose 0 = 3*t + 12, 3*i - n = 2*t - 23. What is i rounded to 0 decimal places?
-10
Let m = -175280 - -176406.01. Let z = m - 1131. Round z to zero decimal places.
-5
Let f(y) = -472*y - 17. Let d be f(-5). Suppose -a = 260 - 2017. Let n = d + a. Round n to the nearest 1000.
4000
Let z be 51875*(409 + (-36)/4). What is z rounded to the nearest one hundred thousand?
20800000
Let m = -0.799 + 0.089. Let d = m + 5.01. Round d to the nearest ten.
0
Let f = 31.96 + -38. What is f rounded to 0 dps?
-6
Let a = -2.788 + 23.244. Let y = 0.156 - a. What is y rounded to 0 dps?
-20
Let j(u) = 55*u**2 + 9*u. Let i(g) = g**2 + g. Let o(l) = -5*i(l) + j(l). Let f be o(5). What is f rounded to the nearest 100?
1300
Let i(z) = z**2. Let y(x) = -4*x**2 - 5*x - 4. Let t(w) = -3*i(w) - y(w). Let p be t(-3). Let r be (p - -5)/(10/(-70)). Round r to the nearest 10.
-20
Suppose -8*v + 13 = -27. Suppose -4913882 = v*b - 213882. Round b to the nearest one hundred thousand.
-900000
Suppose j - 5827 = -b, 5*j = -2*b + 4*j + 11650. Let v = -32737 + -12440. Let y = v - b. What is y rounded to the nearest ten thousand?
-50000
Let x = 15 + -2. Let h = -14 + x. Let d be (h - -94501)*(-80)/12. What is d rounded to the nearest 100000?
-600000
Let o = 4393.51 - 4372. Round o to 0 dps.
22
Let k = 118.038 + 2.262. What is k rounded to the nearest one hundred?
100
Let r be 5/(28/8 + -1). Suppose 5758 = r*d - 2402. Round d to the nearest one thousand.
4000
Let c = -80.077 - 0.123. What is c rounded to the nearest ten?
-80
Let l = -13 - -13. Let u = -0.03 - -0.0304. Let r = l - u. What is r rounded to three dps?
0
Let g = -14944.8489 + 14944. Round g to one decimal place.
-0.8
Let b = 1.57 - -0.13. Let m = -1.22 + b. What is m rounded to 1 decimal place?
0.5
Let u = 0.6 - 0.8. Let c = u + 0.20000044. What is c rounded to 7 dps?
0.0000004
Let p = 21.4 + 4.5. Let t = -2170.38081 + 2144.482. Let v = t + p. What is v rounded to 4 decimal places?
0.0012
Let v = 14.2 - 14.152. What is v rounded to two dps?
0.05
Let j = -2579.7378009 + 2578.6978. Let f = -1.04 - j. Round f to 6 decimal places.
0.000001
Let y(m) = 1529*m - 60. Let v be y(10). Round v to the nearest one thousand.
15000
Let o = 4235 + -4234.7659. What is o rounded to two dps?
0.23
Let h = 2.841 + -0.036. Let z = -3 + h. Round z to two dps.
-0.2
Suppose -2*o + 6*o - 16 = -2*h, 0 = -4*h + 5*o - 7. Suppose -18 - 7 = -p. Suppose 4*z + 0*d = -h*d + 51190, 0 = -5*d - p. What is z rounded to the nearest 1000?
13000
Let r = 153.83 - -3.17. Let l = r + -156.99999777. Round l to 6 dps.
0.000002
Let o = -2424869465 + 2424809028.84029. Let z = o + 60470.16. Let y = 34 - z. What is y rounded to 4 dps?
-0.0003
Let l(z) = 2*z**2 - 2*z - 1. Let r be l(2). Suppose r*f = 40 + 74. Suppose -5*p = -0*p + 5*t + 70, 5*p + f = 3*t. Round p to the nearest ten.
-10
Let m = 68.98 - 74.5. Round m to the nearest integer.
-6
Let l = -19 + 40. Let c = l - 18. Let b = 5.6 + c. What is b rounded to the nearest integer?
9
Let u(q) = 27808*q + 526*q + 3 - 7. Let o be u(6). What is o rounded to the nearest 100000?
200000
Let l = 11 + -9. Suppose -8 = s + c, 2*s - 6*c - 14 = -l*c. Let v(n) = 2022223*n**2 + 3*n + 2. Let q be v(s). Round q to the nearest 1000000.
18000000
Let o = -8 - -4. Let g = -4.02 - o. What is g rounded to 2 dps?
-0.02
Let i = 715.3 - 722. Let q = -161689933.6999943 - -161689927. Let f = i - q. Round f to 6 decimal places.
-0.000006
Let h = -108922 - -108968.0116. Let a = h + -46. What is a rounded to three dps?
0.012
Let p = 0.09 + -0.0900002012. What is p rounded to seven decimal places?
-0.0000002
Let n(w) = 53*w + 23. Suppose -6*z + 11*z = 50. Let s be (-4)/z + (-371)/35. Let h be n(s). Round h to the nearest one hundred.
-600
Let l = -2591949 - -2591952.449026. Let j = 2.949 - l. Let q = j - -0.5. Round q to 5 dps.
-0.00003
Let t = 33.021 - 0.021. Let g = 32.99988 - t. What is g rounded to 4 decimal places?
-0.0001
Let x = -236.2476 - -41.1506. Let d = -205 + 400. Let a = d + x. What is a rounded to two decimal places?
-0.1
Let z = -412 - -211. Let b = -201.00162 - z. What is b rounded to three decimal places?
-0.002
Let k(n) = -3*n**2 + 4*n - 5. Let f(l) = l**2 - 14*l + 17. Let o be f(13). Let a be k(o). Round a to the nearest 10.
-40
Suppose 3*h - 255*f - 49 = -256*f, 33 = h - 3*f. Round h to zero dps.
18
Let g(d) = -d - 546000. Let k be (28/(-18))/7 - (-2)/9. Let p be g(k). What is p rounded to the nearest 100000?
-500000
Suppose -15*h = -14*h - 446000. Round h to the nearest 100000.
400000
Let t = 3.58 + 2.29. Let c = -0.07 + t. What is c rounded to the nearest integer?
6
Suppose -2*i + 0*l - 4*l = -2168, 0 = -4*i + 2*l + 4336. Suppose -5*a - i = 1966. Round a to the nearest 100.
-600
Let y = 20.3 + -20.299839. What is y rounded to 5 decimal places
|
{
"pile_set_name": "DM Mathematics"
}
|
Two letters picked without replacement from sspsoskspssrrrsosoc. What is prob of picking 2 s?
4/19
Three letters picked without replacement from {u: 2, y: 1, v: 4, g: 1, t: 1, a: 3}. What is prob of picking 3 v?
1/55
Calculate prob of picking 4 u when four letters picked without replacement from uuuuccucuucc.
7/99
What is prob of picking 1 g, 1 i, and 1 w when three letters picked without replacement from {y: 1, a: 1, j: 1, i: 1, g: 2, w: 1}?
2/35
Three letters picked without replacement from vvvvvvv. Give prob of picking 3 v.
1
What is prob of picking 2 c and 2 t when four letters picked without replacement from {m: 7, t: 3, l: 7, c: 3}?
3/1615
Calculate prob of picking 1 h and 2 b when three letters picked without replacement from rzbrzzh.
0
What is prob of picking 2 l and 1 s when three letters picked without replacement from {s: 8, l: 2}?
1/15
Two letters picked without replacement from lqgg. Give prob of picking 1 l and 1 q.
1/6
What is prob of picking 2 q and 1 k when three letters picked without replacement from tcykyttttqcyfc?
0
Three letters picked without replacement from gggkgksgsksr. Give prob of picking 1 g, 1 s, and 1 k.
9/44
What is prob of picking 1 u, 1 q, and 2 i when four letters picked without replacement from {u: 4, o: 1, i: 10, q: 1, p: 4}?
12/323
Two letters picked without replacement from dpdpjpwmjpdjd. Give prob of picking 1 m and 1 p.
2/39
Calculate prob of picking 2 f and 1 r when three letters picked without replacement from hrzhzuuzfrzrzfzu.
3/560
Two letters picked without replacement from {f: 3, q: 3}. What is prob of picking 2 f?
1/5
Calculate prob of picking 3 n and 1 c when four letters picked without replacement from cncnncncccccccnc.
11/182
Three letters picked without replacement from {i: 1, a: 1, m: 1, h: 1, g: 1}. Give prob of picking 3 m.
0
Calculate prob of picking 1 f, 2 l, and 1 v when four letters picked without replacement from ptlplfvtvpptvt.
3/1001
Two letters picked without replacement from zkzkkkkzzkkpphzk. Give prob of picking 1 h and 1 p.
1/60
Four letters picked without replacement from bfejffbgfjejeij. What is prob of picking 1 g, 2 j, and 1 i?
2/455
Two letters picked without replacement from {t: 2, s: 3, k: 4}. Give prob of picking 2 k.
1/6
What is prob of picking 2 f when two letters picked without replacement from qqcjwjjwqjjjcjcjfqf?
1/171
Calculate prob of picking 2 f and 1 w when three letters picked without replacement from {f: 4, w: 1, t: 1, e: 4}.
1/20
Two letters picked without replacement from pjixyxxiyixxpi. What is prob of picking 1 j and 1 x?
5/91
Two letters picked without replacement from {h: 6, i: 3, g: 1, x: 7}. What is prob of picking 2 i?
3/136
Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {q: 7, y: 2}.
7/18
What is prob of picking 2 e and 1 n when three letters picked without replacement from eenennenenneennneene?
15/38
Two letters picked without replacement from kkzzkkkkkkzkkkkkzkk. Give prob of picking 1 k and 1 z.
20/57
Three letters picked without replacement from nhnnnnnnnnnnnnnnnnnn. Give prob of picking 2 n and 1 h.
3/20
Four letters picked without replacement from {b: 1, l: 1, u: 1, w: 2, i: 2, f: 1}. What is prob of picking 1 i, 1 u, 1 f, and 1 l?
1/35
Three letters picked without replacement from {k: 14, p: 4}. Give prob of picking 3 k.
91/204
What is prob of picking 2 z and 1 o when three letters picked without replacement from mbmdmzmzzzmo?
3/110
Calculate prob of picking 1 f and 3 k when four letters picked without replacement from ffffkfkkffffffff.
1/140
What is prob of picking 1 f and 1 m when two letters picked without replacement from fffffffffffmffffffm?
34/171
What is prob of picking 2 o and 1 x when three letters picked without replacement from ouxxxouoooonox?
3/13
What is prob of picking 4 w when four letters picked without replacement from {y: 5, w: 14}?
1001/3876
Calculate prob of picking 1 b and 1 v when two letters picked without replacement from {v: 6, a: 4, b: 2}.
2/11
Four letters picked without replacement from {s: 4, d: 2}. What is prob of picking 4 s?
1/15
What is prob of picking 3 o when three letters picked without replacement from {x: 4, o: 6, m: 7}?
1/34
What is prob of picking 2 s, 1 n, and 1 o when four letters picked without replacement from {s: 5, q: 1, k: 1, o: 2, n: 1}?
2/21
Three letters picked without replacement from ppp. Give prob of picking 3 p.
1
Four letters picked without replacement from {f: 1, a: 1, o: 1, w: 1, d: 2, b: 2}. Give prob of picking 1 b, 2 a, and 1 f.
0
Calculate prob of picking 1 d, 1 r, and 2 p when four letters picked without replacement from {z: 6, d: 1, p: 2, r: 2}.
1/165
What is prob of picking 1 e and 1 u when two letters picked without replacement from {e: 2, p: 3, u: 15}?
3/19
Three letters picked without replacement from dbduthuuhtdddduuiu. Give prob of picking 1 u, 1 i, and 1 t.
1/68
Two letters picked without replacement from {e: 1, u: 3, x: 9, a: 4, o: 2}. Give prob of picking 1 x and 1 o.
2/19
What is prob of picking 3 n when three letters picked without replacement from {i: 2, y: 1, k: 2, n: 1, d: 2, q: 1}?
0
Four letters picked without replacement from {e: 5, q: 7}. Give prob of picking 2 q and 2 e.
14/33
Calculate prob of picking 2 y when two letters picked without replacement from {a: 5, y: 2}.
1/21
Two letters picked without replacement from aaabbb. Give prob of picking 2 a.
1/5
Calculate prob of picking 1 t and 3 u when four letters picked without replacement from tttcuuuucuuu.
7/33
Three letters picked without replacement from ttaaa. Give prob of picking 3 a.
1/10
What is prob of picking 2 i when two letters picked without replacement from ihhhihioh?
1/12
Two letters picked without replacement from {j: 4, g: 3, d: 2}. Give prob of picking 1 g and 1 j.
1/3
What is prob of picking 1 p and 2 t when three letters picked without replacement from dtdptddddttddddpptp?
40/969
Three letters picked without replacement from {n: 2, s: 7, f: 2, w: 1}. What is prob of picking 1 s and 2 f?
7/220
Calculate prob of picking 4 h when four letters picked without replacement from ooooohoohhh.
1/330
Calculate prob of picking 1 y and 1 v when two letters picked without replacement from yyyvyvvyvv.
5/9
Three letters picked without replacement from {c: 7, f: 12}. What is prob of picking 1 c and 2 f?
154/323
Calculate prob of picking 4 t when four letters picked without replacement from tttttthhhh.
1/14
What is prob of picking 3 j when three letters picked without replacement from jjjjjjkjkjjj?
6/11
Calculate prob of picking 3 p when three letters picked without replacement from pppmnmmummbpumpm.
1/56
Four letters picked without replacement from {o: 6, m: 9, s: 2}. Give prob of picking 2 m and 2 o.
27/119
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
5?
0.4
Which is the closest to -2/3? (a) 10723 (b) -3 (c) -21
b
Which is the closest to -1/2? (a) -69 (b) 0.5 (c) 70
b
Which is the closest to -1? (a) 5 (b) -432/11 (c) 4 (d) -3 (e) -5
d
What is the nearest to -1/3 in 104, -2, -111, 6?
-2
What is the nearest to -1 in -60, 0.6, 2/17, 0.3?
2/17
Which is the closest to 0.15? (a) 13 (b) -1/3 (c) -0.3 (d) 0.2
d
Which is the closest to -3/19? (a) -7 (b) 2.95 (c) 4/5
c
Which is the nearest to -2/1349? (a) -0.5 (b) 4 (c) 25 (d) -1/9 (e) -0.03
e
What is the nearest to 20 in -1/4, 1/21, 0.5, -2?
0.5
Which is the nearest to -2? (a) 4 (b) 0.07 (c) 13/212
c
What is the closest to -4/9 in 0.5, 2/4353, -0.1?
-0.1
Which is the closest to -11? (a) -2/11 (b) -1/9 (c) -3.1
c
What is the closest to -2.2 in 167, -9, -0.5, 1?
-0.5
What is the closest to -1.07 in 2/21, 1/2, -5/2, -3?
2/21
Which is the nearest to -13? (a) -0.3 (b) -1/13 (c) 0.2 (d) -1/4
a
What is the closest to -0.1 in -4788, 0, 1, 0.3?
0
Which is the nearest to -6/47? (a) 3 (b) -0.2 (c) -450 (d) -0.5
b
Which is the closest to 4/3? (a) 2/9 (b) -5 (c) -15 (d) 0
a
Which is the nearest to 0.1? (a) 5 (b) 1/2 (c) -90 (d) 3 (e) 1
b
What is the closest to -1 in 0.5, -3.9572, 22?
0.5
Which is the nearest to -2? (a) 0.4 (b) -5 (c) 2010 (d) -1/9
d
Which is the closest to -4? (a) 1.3 (b) -49 (c) 4.8
a
Which is the closest to 1? (a) -1/7 (b) -2/3 (c) -21781 (d) -2/5 (e) 3
a
Which is the closest to 0? (a) 15 (b) 51/4 (c) 1 (d) 0.5
d
Which is the nearest to 0.2? (a) -0.3 (b) 1 (c) -2 (d) 3 (e) -35/11
a
Which is the closest to -1? (a) 1/5 (b) -0.2 (c) -1 (d) 0.1
c
Which is the nearest to 1? (a) 4 (b) -1/5 (c) 1/6 (d) -43
c
What is the closest to -0.51 in -1, -0.1, -4, -6?
-0.1
What is the closest to -0.1 in 2, -1/8, 4/5, 34?
-1/8
Which is the closest to -1/4? (a) 3/4 (b) 1/5 (c) -0.1 (d) 4 (e) -0.052
c
What is the nearest to 3 in 8/9, 18.8, 5, 2/7?
5
What is the closest to 0 in 0.02, 1/5, 202/7, -2?
0.02
What is the nearest to 7/4 in 0.07, -1/8, -6?
0.07
What is the nearest to 5 in -418, -2/7, 1/4?
1/4
Which is the closest to 0.1? (a) -0.4 (b) 0.3 (c) -365 (d) -47 (e) 2/7
e
Which is the closest to 12? (a) 53/12 (b) 0.3 (c) 1 (d) 5 (e) -0.4
d
What is the closest to 1/10 in 368, 2, 0.5?
0.5
Which is the closest to 3.9? (a) 5 (b) 0 (c) 0.2 (d) 2 (e) -6
a
Which is the closest to 1124/7? (a) -2 (b) -1/7 (c) -3
b
Which is the nearest to 1? (a) -1.4 (b) -2/895 (c) -1.6
b
What is the closest to 0.1 in -1/603, -4, -5.3?
-1/603
What is the closest to 0 in 0, 19/165, 0.11?
0
What is the closest to 0.1 in 2, 54, -2.9, -2/13?
-2/13
Which is the closest to -23/2? (a) -5 (b) 0 (c) -2/21
a
Which is the closest to 211/3? (a) 10 (b) 5 (c) -2
a
What is the nearest to -1 in -1/8, 107, 35?
-1/8
Which is the nearest to -14.8? (a) -2 (b) -29 (c) -3/8 (d) 0.3
a
What is the closest to -2 in 0.1, 4/3, 7, 220?
0.1
Which is the closest to 2? (a) -5 (b) -2/3 (c) 0 (d) 2/15
d
Which is the nearest to -0.08? (a) -1.18 (b) -5 (c) 0 (d) -0.06
d
Which is the nearest to -53? (a) 2 (b) -0.4 (c) 5 (d) -19/2 (e) -55
e
Which is the nearest to 2? (a) -1/9 (b) 1/6 (c) -1/3094
b
What is the nearest to -0.1 in 0.11, 0.3, 8/31?
0.11
What is the nearest to 1/7 in -5, 3, -3/8, -63, 1.28?
-3/8
Which is the closest to 0.1? (a) 4 (b) 2 (c) 1001
b
What is the closest to 14 in -4, 0, -69, -2?
0
What is the nearest to 2/9 in -15, 2, -1.5, 0.3, 27/5?
0.3
Which is the closest to 2? (a) -2/13 (b) 2 (c) 83 (d) 6
b
Which is the closest to -2? (a) -2 (b) -0.2 (c) 38801
a
What is the closest to 1/2 in -1/157, -1, -0.05?
-1/157
What is the nearest to 56/61 in 0.6, -3, 0.3?
0.6
Which is the nearest to -2? (a) -4 (b) -48.1 (c) -1/4
c
What is the nearest to -0.11 in -27, -
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the thousands digit of 18466?
8
What is the units digit of 1104?
4
What is the units digit of 102?
2
What is the hundreds digit of 792?
7
What is the thousands digit of 5096?
5
What is the thousands digit of 62220?
2
What is the units digit of 81092?
2
What is the units digit of 132696?
6
What is the units digit of 1967?
7
What is the thousands digit of 12910?
2
What is the hundreds digit of 433?
4
What is the tens digit of 1548?
4
What is the ten thousands digit of 21206?
2
What is the tens digit of 125?
2
What is the tens digit of 14063?
6
What is the thousands digit of 45025?
5
What is the units digit of 1449?
9
What is the tens digit of 4579?
7
What is the hundreds digit of 2933?
9
What is the thousands digit of 45693?
5
What is the hundreds digit of 1774?
7
What is the hundreds digit of 9675?
6
What is the units digit of 1936?
6
What is the ten thousands digit of 13575?
1
What is the thousands digit of 1469?
1
What is the tens digit of 77186?
8
What is the hundreds digit of 58516?
5
What is the tens digit of 36304?
0
What is the thousands digit of 1733?
1
What is the ten thousands digit of 29993?
2
What is the tens digit of 9385?
8
What is the hundreds digit of 8774?
7
What is the tens digit of 7496?
9
What is the units digit of 1586?
6
What is the hundreds digit of 167?
1
What is the units digit of 289?
9
What is the units digit of 18833?
3
What is the hundreds digit of 927?
9
What is the units digit of 559?
9
What is the units digit of 1987?
7
What is the hundreds digit of 59067?
0
What is the tens digit of 22603?
0
What is the thousands digit of 1086?
1
What is the hundreds digit of 11860?
8
What is the ten thousands digit of 23076?
2
What is the tens digit of 7891?
9
What is the ten thousands digit of 11525?
1
What is the ten thousands digit of 15402?
1
What is the thousands digit of 1623?
1
What is the hundreds digit of 10652?
6
What is the tens digit of 17888?
8
What is the thousands digit of 39613?
9
What is the ten thousands digit of 40001?
4
What is the thousands digit of 5653?
5
What is the ten thousands digit of 30308?
3
What is the units digit of 1675?
5
What is the tens digit of 1378?
7
What is the units digit of 5290?
0
What is the ten thousands digit of 109588?
0
What is the units digit of 10206?
6
What is the units digit of 1281?
1
What is the ten thousands digit of 13825?
1
What is the ten thousands digit of 41241?
4
What is the units digit of 125?
5
What is the ten thousands digit of 19421?
1
What is the tens digit of 19943?
4
What is the hundreds digit of 1204?
2
What is the hundreds digit of 3586?
5
What is the units digit of 26328?
8
What is the tens digit of 27213?
1
What is the units digit of 2566?
6
What is the tens digit of 62?
6
What is the hundreds digit of 774?
7
What is the hundreds digit of 860?
8
What is the tens digit of 73?
7
What is the hundreds digit of 144049?
0
What is the tens digit of 109771?
7
What is the tens digit of 7338?
3
What is the tens digit of 22254?
5
What is the units digit of 170520?
0
What is the tens digit of 395?
9
What is the thousands digit of 2179?
2
What is the ten thousands digit of 29549?
2
What is the hundreds digit of 202?
2
What is the units digit of 995?
5
What is the ten thousands digit of 45774?
4
What is the thousands digit of 1296?
1
What is the hundreds digit of 19528?
5
What is the thousands digit of 8525?
8
What is the tens digit of 126103?
0
What is the tens digit of 439?
3
What is the units digit of 3499?
9
What is the ten thousands digit of 93691?
9
What is the hundreds digit of 113704?
7
What is the ten thousands digit of 85069?
8
What is the tens digit of 2912?
1
What is the ten thousands digit of 22936?
2
What is the units digit of 2410?
0
What is the tens digit of 4225?
2
What is the thousands digit of 98766?
8
What is the units digit of 1485?
5
What is the ten thousands digit of 57979?
5
What is the units digit of 20804?
4
What is the units digit of 34943?
3
What is the tens digit of 2913?
1
What is the units digit of 43638?
8
What is the tens digit of 706?
0
What is the hundreds digit of 655?
6
What is the thousands digit of 18520?
8
What is the tens digit of 36792?
9
What is the thousands digit of 3876?
3
What is the thousands digit of 1077?
1
What is the units digit of 9213?
3
What is the hundreds digit of 422?
4
What is the tens digit of 758?
5
What is the units digit of 72462?
2
What is the thousands digit of 12468?
2
What is the units digit of 6534?
4
What is the hundreds digit of 8133?
1
What is the hundred thousands digit of 139178?
1
What is the hundreds digit of 14435?
4
What is the units digit of 218?
8
What is the units digit of 9441?
1
What is the units digit of 10405?
5
What is the units digit of 8480?
0
What is the thousands digit of 20568?
0
What is the ten thousands digit of 118762?
1
What is the ten thousands digit of 20521?
2
What is the thousands digit of 2389?
2
What is the units digit of 5840?
0
What is the hundreds digit of 3768?
7
What is the hundreds digit of 2959?
9
What is the hundreds digit of 2017?
0
What is the units digit of 25575?
5
What is the tens digit of 677?
7
What is the thousands digit of 47048?
7
What is the thousands digit of 2611?
2
What is the thousands digit of 9417?
9
What is the hundreds digit of 8250?
2
What is the thousands digit of 23467?
3
What is the tens digit of 439?
3
What is the hundreds digit of 1883?
8
What is the tens digit of 2249?
4
What is the hundreds digit of 122476?
4
What is the tens digit of 35967?
6
What is the hundreds digit of 1703?
7
What is the hundreds digit of 5401?
4
What is the thousands digit of 1910?
1
What is the units digit of 3837?
7
What is the units digit of 8150?
0
What is the thousands digit of 1305?
1
What is the thousands digit of 29831?
9
What is the tens digit of 3104?
0
What is the units digit of 1921?
1
What is the ten thousands digit of 19961?
1
What is the units digit of 89138?
8
What is the units digit of 25697?
7
What is the tens digit of 1215?
1
What is the units digit of 3769?
9
What is the thousands digit of 13762?
3
What is the units digit of 5967?
7
What is the units digit of 2351?
1
What is the hundreds digit of 2876?
8
What is the ten thousands digit of 23524?
2
What is the units digit of 14508?
8
What is the thousands digit of 1002?
1
What is the units digit of 7330?
0
What is the tens digit of 1047?
4
What is the hundreds digit of 846?
8
What is the tens digit of 932?
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - i*t**2 + 0. Let m be g(12). Solve -m*s = -2*h + 3*h - 1, 11 = s + 4*h for s.
-1
Let x be 0*(24/9 + (-45)/15). Solve x = -f + 3*o - 20, -3*o + 6*o - 10 = -f for f.
-5
Suppose 4*x - 2*p - p - 17 = 0, 3*x - 9 = p. Solve -x*z + 23 = -5*y + 3, 3*y + 4*z + 12 = 0 for y.
-4
Let x(b) = -b + 11. Let s be x(11). Solve 8*u - 3*u = -20, s = -3*h - 4*u - 1 for h.
5
Suppose 4*x = 5*l - 25, 65*l - 67*l - 13 = 3*x. Solve a = -4*f + 7, l = -2*a + f - 3 for a.
-1
Let v be (-10)/(-40) + 22/8. Let y be 35/(-14)*2*1. Let b be (-4 + 1 - y)/1. Solve -5*c - 7 = v*l, 2*c - b*l - 11 = -c for c.
1
Let u be 0/((1 + 1)/(-4 - -2)). Suppose 5*g + 3*s = 20 + 14, 2*s + 4 = 0. Let m be u + 3 - g/(-4). Solve -3*k + m = 4*h, 4*k = -5*h + 5 - 0 for k.
-5
Suppose -15 = -3*j - 2*j. Solve 5*a = 5*t + 5, -2*a + 7*t = j*t - 4 for a.
0
Let t(b) = 16*b**2. Let h be t(1). Suppose 3*q + h = 5*q. Suppose 5*r - 8 = -2*c, -2*r + 5*c + q + 1 = 0. Solve -4*a + 24 = -3*a - 5*o, -r*o = 10 for a.
-1
Suppose 13 = 4*t + 9. Solve 3*m = -2*m - 5*b - 5, -m - 3*b - t = 0 for m.
-1
Let l(v) = -2*v**2 - 9*v - 8. Suppose -k + 5*r = 0, -2*k + 5*r - 7 = -2. Let z be l(k). Let f = -13 - z. Solve 2*o - 9 = -3*x - f*o, 0 = -3*x + 3*o + 9 for x.
3
Let q(i) = -2*i**3 + 28*i**2 - 26*i + 8. Let o be q(13). Solve -3*g - o + 0 = 4*n, 0 = -3*n - 3*g - 3 for n.
-5
Let b(h) = h + 26. Let x be b(-17). Suppose -2*g - 5 = -x. Solve 0 = 5*o - 4*s - 4, -g*o + s - 5 = 6*s for o.
0
Let q = -1377 - -1383. Solve -q*s - 20 = -s - 3*o, s - 14 = -3*o for s.
-1
Suppose 4*r - 17 = -5*x - 33, 3*x - r - 4 = 0. Solve x = 2*u - m + 1, -5*u + 2 + 3 = 5*m for u.
0
Let y = -30 + 54. Suppose -y = -7*n + 4. Solve -n*b - 5*h = 11, -5*b + h - 19 = 2*h for b.
-4
Suppose -35*z = -9*z - 52. Solve 3*f - z = -4*q - 21, 4*q = f + 1 for q.
-1
Suppose 6*c - 19 = 29. Suppose c = 3*t - 1. Solve 0*i - 4 = 4*i - t*k, -i - 4*k = 1 for i.
-1
Let y(l) = -2*l**3 + 3*l**2 + 2*l - 3 + 0 + l**3. Let x = 135 + -133. Let m be y(x). Solve 20 = m*u, 0 = j - 5*j + 2*u - 24 for j.
-4
Let d be 0*5/15 + 5. Let f be (-1 - -4 - -1)*d. Solve -i = -4*b - f, b - 2*i + 0 + 12 = 0 for b.
-4
Let c = 7 - 28. Let u = c - -65. Suppose 5*g - 16 = l - u, 2*g = 2*l - 16. Solve -w - 15 = 3*b, 2*w + 3*b = l*w - 15 for w.
0
Suppose 3*j + 2*j = 15. Suppose 0 = -2*h + h - j*l - 7, -4*h = 5*l + 14. Let b be 1/h*1 + 22. Solve 5*g = g + 5*d - b, -5*d = 3*g + 7 for g.
-4
Let w = -160 - -163. Solve 4*x = -w*j + 2*x, 2*j - 2*x = -10 for j.
-2
Let f be 12 + (-9)/((-27)/(-12)). Let o be 0 + (1 - 3*3). Let h be f - (-1 + o/(-2)). Solve 6 = -4*w + 4*x + x, -h*w - x + 7 = 0 for w.
1
Suppose -11*s - 3*a + 21 = -8*s, 2 = -4*s + 2*a. Solve -p = 2*n - 5, s*p - 25 = -5*n - 3*p for n.
0
Suppose 0 = -3*f + 61 - 55. Solve 0*v + 4*x - 22 = -v, f*v - 14 = -2*x for v.
2
Let v = -19 + 21. Solve -5*k = 4*z - 4, -4*z - v + 6 = 4*k for k.
0
Let c(g) = -g + 1. Let d be c(1). Suppose -i - 3 = -4*j + 2, d = -3*j + 12. Solve -4*p + 0*p = -5*s + 6, -5*p = 3*s - i for p.
1
Suppose -2*s + 6 = 0, 2*s + 24 = 3*u + 7*s. Solve -20 = 4*v + u*r, 3*v + 5 + 10 = r for v.
-5
Let n be (42/15)/(-7) - (-358)/(-5). Let u = -69 - n. Solve -2*l - 5 = 3*y, u*y - y = -l - 5 for y.
-5
Let t(x) = -x**2 + 10*x + 20. Let q be t(12). Let l = 7 + q. Solve 4 = z + l*b, 5*z + b = 5*b + 20 for z.
4
Let a(b) = -b**2 + 8*b + 88. Let t be a(14). Solve 0 = -j - f, -5*j + t = -3*j + 4*f for j.
-2
Suppose -2*y = -1 - 1. Let d = 3 - 11. Let p be (2/2)/((-4)/d). Solve 5*g = -t + 18, -p*g - 8 = -5*t + y for t.
3
Let m = -786 + 788. Solve 2*u = -2*y - 8, -m*y + 3 = -3*u + 1 for u.
-2
Suppose -37*p + 28*p + 45 = 0. Solve p*i = -10, i - 7 = 5*j + 1 for j.
-2
Let u(w) = w**2 + 3*w + 2. Let z be u(-1). Suppose 5*f + i - 15 = z, -2*f = -i - 3*i - 6. Solve 3*t = -0*m - m + 2, -4*t - 4 = f*m for m.
-4
Suppose y = 4*g + 3*y
|
{
"pile_set_name": "DM Mathematics"
}
|
mplify (z**(-2))**(-26)*(z*z*z*z*((z*z*z/(z*z*z*z**(2/17)*z))/z)/z)/(z/z**7) assuming z is positive.
z**(1001/17)
Simplify ((w*((w/(w**(2/3)*w))/w*w)/w*w)/w*w)**(-29)*(w/(w/(w*w**0*w)))/w*w*w**(-5) assuming w is positive.
w**(-38/3)
Simplify (y**(-4/5)*y*y*y**(-1))/(y*y**0/y*y*y)**18 assuming y is positive.
y**(-179/5)
Simplify ((z*z*(z*(z*z*z**(-2))/z*z)/z*z)**4)**(-31) assuming z is positive.
z**(-372)
Simplify l**(11/2)/l*l*l**(-2/5) assuming l is positive.
l**(51/10)
Simplify (p**(-1/6)*p**(-10)/p*p)**(6/7) assuming p is positive.
p**(-61/7)
Simplify (b*b/b**(-2/37))/b**(-12) assuming b is positive.
b**(520/37)
Simplify (b**(-1)*b*b**(-1/2))/(b**(-1/5)*b*b**(8/3)) assuming b is positive.
b**(-119/30)
Simplify (m/(m/((m*m**(2/5)/m)/m)))/(m*m/(m*(((m/(m**(-7/2)/m))/m)/m)/m))*m**(-2/15)*m/(m**(-1)/m) assuming m is positive.
m**(113/30)
Simplify (i**(-1/3)*i*i*i/(i**3/i))**(-1/53) assuming i is positive.
i**(-2/159)
Simplify s**10/s*s/s**21 assuming s is positive.
s**(-11)
Simplify (q**(-49))**(-3/8) assuming q is positive.
q**(147/8)
Simplify (j/(j**0/j))**(-1/6)/(((j*(j*j**(-6))/j*j)/j)/j**2) assuming j is positive.
j**(20/3)
Simplify ((s**(-2))**(-18/11))**(-7) assuming s is positive.
s**(-252/11)
Simplify ((v**(-14)*v)/v)**(-34) assuming v is positive.
v**476
Simplify x**1/(x**(-1/5)/x)*(x**7*x)/x**(1/3) assuming x is positive.
x**(148/15)
Simplify (b*b**9*b/(b/(b*b*b**5*b*b)))**37 assuming b is positive.
b**703
Simplify ((c*c**(-3))/(c*c/(c**(-6)*c)))**(-32) assuming c is positive.
c**288
Simplify ((c*c**(1/4))**(-1/20))**(-8/3) assuming c is positive.
c**(1/6)
Simplify ((m**(-3))**(-28))**39 assuming m is positive.
m**3276
Simplify (m**(2/85))**23 assuming m is positive.
m**(46/85)
Simplify ((x**(-7)/x)/x**(-2/25))**(3/11) assuming x is positive.
x**(-54/25)
Simplify (z**(-4/5))**(7/2) assuming z is positive.
z**(-14/5)
Simplify (v*v**(2/109)*v*v)/(v/(v/(v**(4/11)/v)*v)) assuming v is positive.
v**(5581/1199)
Simplify c**(-2/7)/(c*c/(c/(c**(-5/2)*c)))*(c/(c/(c/(c*c**(-2/17)))))/c**(4/9) assuming c is positive.
c**(-241/2142)
Simplify (((u**(-12)/u*u)/u*u)/(u*u*u**(-12)))**(-20) assuming u is positive.
u**40
Simplify (z*z**(-1/12)*z)/z**(-2/33) assuming z is positive.
z**(87/44)
Simplify (j**(-2/73)*j)/j*j**19*j assuming j is positive.
j**(1458/73)
Simplify p**(-17/5)/(p*(p*p**(4/33)*p)/p*p) assuming p is positive.
p**(-1076/165)
Simplify (r/(r*r/r**(2/3)))/(r/((r*r**(-6))/r*r)*r)*(r**0)**(-28) assuming r is positive.
r**(-22/3)
Simplify (w*w**6)/(w/w**(2/3))*(w**(2/7))**(-5/13) assuming w is positive.
w**(1790/273)
Simplify c**5*c*c**(4/5)*c*c*c**5*c**4 assuming c is positive.
c**(89/5)
Simplify u*u/(u*u*u*u*u**(16/3)*u)*u**(-14/3) assuming u is positive.
u**(-13)
Simplify (u/(u**(-2/55)/u)*u)/u**(2/119) assuming u is positive.
u**(19763/6545)
Simplify (h/h**(-7))**47 assuming h is positive.
h**376
Simplify c**5*c**(-4/7)*(c**(-2/3)/c)/(c/(c*(c*c**(-6))/c)) assuming c is positive.
c**(-68/21)
Simplify f**(-1/13)/(f**0*f) assuming f is positive.
f**(-14/13)
Simplify (k**(2/7))**(-7/5)*((k**(-1)/k)/k)/(k/(k/(k*((k**(3/2)*k)/k)/k))) assuming k is positive.
k**(-49/10)
Simplify (d/(d/(d/((d/((d**(2/29)/d)/d)*d)/d))))**(-15/7) assuming d is positive.
d**(120/29)
Simplify (n**(3/7)*n*(n*n**(2/7))/n)/(n/((n/n**(-7))/n)*(n/(n/n**3))/n) assuming n is positive.
n**(40/7)
Simplify (((v/(v**6/v))/v)/(v/(v**(3/5)*v)))**(-41) assuming v is positive.
v**(902/5)
Simplify (y/y**(-2/9))/y*y*y*y*y*(y/(y*y/(y*(y*y/y**(26/3))/y)*y))/y assuming y is positive.
y**(-49/9)
Simplify (f*f**(-21))/(f*(f**(-11/6)/f)/f) assuming f is positive.
f**(-103/6)
Simplify p/(p/(p/((p/(p*p/(p**(-3/8)*p)*p*p*p))/p))*p)*(p/(p*p**(-8/5)*p))/p assuming p is positive.
p**(159/40)
Simplify ((y*(((y**1*y*y)/y*y)/y)/y)**(-31))**(3/31) assuming y is positive.
y**(-6)
Simplify y**(-4)*y*y*((y**(-4/5)/y*y)/y)/y assuming y is positive.
y**(-24/5)
Simplify m/((m/m**(-2/77)*m*m*m*m)/m*m)*m**(-1/75) assuming m is positive.
m**(-23327/5775)
Simplify ((u**(-2/5)*u)/u**(-5/7))/(u*u**(-6)*u*u**(-1/4)) assuming u is positive.
u**(779/140)
Simplify ((w**(-3/7))**(3/28))**44 assuming w is positive.
w**(-99/49)
Simplify b**(4/7)*b**(-3/5)*b**(1/5)*b*b**7 assuming b is positive.
b**(286/35)
Simplify ((k*k**(-2/25))/k**(-2/27))/((k*k**5*k)/((k*k**(9/2)*k)/k)) assuming k is positive.
k**(-683/1350)
Simplify (k/(k*k/(k**1/k*k)))**(4/3)/(k**(-2/3)*k**4) assuming k is positive.
k**(-10/3)
Simplify ((((h/((((h*h/(h*h**26*h)*h)/h)/h)/h))/h)/h*h)/h)/(h/h**(-9/2)*h) assuming h is positive.
h**(41/2)
Simplify (((t/(t*t
|
{
"pile_set_name": "DM Mathematics"
}
|
f**2 - 5159*f + 368. Let z be p(-23). Find a, given that -5*a - 1/3*a**3 - 16/3*a**2 + z = 0.
-15, -1, 0
Let y = 3720 + -7439/2. Let n(r) be the second derivative of 1/4*r**4 + 0 - 7*r + y*r**3 - 3/2*r**2 - 3/20*r**5. Solve n(i) = 0 for i.
-1, 1
Let 1399/5*x - 1398/5*x**2 + 93*x**3 - 933/10 + 1/10*x**4 = 0. What is x?
-933, 1
Suppose -15*s = -12*s + 4*a - 682, 2*s + 3*a = 453. Factor -13 + 318*p + 101 - 4*p**2 - s*p.
-4*(p - 22)*(p + 1)
Let v(x) = -36*x**2 + 37*x**2 + 40*x - 38*x. Let u(f) = -9*f**2 - 242*f - 3364. Let g(z) = -u(z) - 5*v(z). Solve g(s) = 0 for s.
-29
Let v(i) be the first derivative of -3*i**5/5 + 495*i**4/4 - 7206*i**3 + 49440*i**2 - 115200*i + 7577. Factor v(g).
-3*(g - 80)**2*(g - 3)*(g - 2)
Let g(v) be the third derivative of -v**6/96 - 27*v**5/160 - 5*v**4/16 - 21*v**3/2 - 6*v**2. Let l(z) be the first derivative of g(z). Factor l(h).
-3*(h + 5)*(5*h + 2)/4
Let c be (1/4)/(1/(-2)) - (-62755)/11410. Let w(j) be the second derivative of 40/3*j**3 + 0 - 17/12*j**4 - 32*j**2 + 1/20*j**c - 31*j. Factor w(m).
(m - 8)**2*(m - 1)
Let k(v) be the third derivative of -1/105*v**7 + 9/2*v**3 + 0*v - 255*v**2 + 0 - 7/20*v**5 + 13/120*v**6 - 3/8*v**4. What is g in k(g) = 0?
-1, 3/2, 3
Let w(c) be the third derivative of 283*c**2 + 0 + 0*c + 1/2*c**5 - 9/8*c**4 - 1/40*c**6 + 0*c**3. Determine a so that w(a) = 0.
0, 1, 9
Let p = 737 - 501. Let -24*g**2 + 451 - p + 54*g - 243 - 2*g**3 = 0. What is g?
-14, 1
Let p(h) be the second derivative of -h**5/20 + 6*h**4 - 70*h**3/3 - 2219*h. Determine o, given that p(o) = 0.
0, 2, 70
Let p(g) be the third derivative of 3*g**7/560 + 247*g**6/80 - 25*g**5/6 - 413*g**4/12 - 55*g**3 - 6*g**2 - 108*g. Find c such that p(c) = 0.
-330, -2/3, 2
Let s(u) be the second derivative of 183*u**5/20 + 94*u**4 + 609*u**3/2 + 135*u**2 - 294*u - 7. Factor s(n).
3*(n + 3)**2*(61*n + 10)
Suppose -63*z + 47*z + 1050 = 134*z. Let c(b) be the third derivative of 0*b**3 + 1/45*b**5 + 0 + 0*b + z*b**2 + 13/18*b**4. Factor c(v).
4*v*(v + 13)/3
Let m(r) = r**3 + 13*r**2 - 74*r - 635. Let a be m(-15). Let c(g) be the second derivative of -1/8*g**4 - g**3 + 0 + a*g - 9/4*g**2. Factor c(i).
-3*(i + 1)*(i + 3)/2
Suppose -80*d**2 + 4*d**4 - d**4 - 18*d**3 + 219*d + 27*d**2 + 51*d - 58*d**2 = 0. What is d?
-5, 0, 2, 9
Let m(w) be the first derivative of -27 + 1/140*w**5 - 11*w + 0*w**3 + 1/42*w**4 + 0*w**2. Let q(z) be the first derivative of m(z). Factor q(r).
r**2*(r + 2)/7
Let y(z) = -z**2 - 5561*z - 22226. Let i be y(-4). Let w be (-1426)/(-72) + 6/(-24). Factor 386/9*q**i + 32/9 - 50/9*q**5 - w*q + 230/9*q**4 - 422/9*q**3.
-2*(q - 1)**3*(5*q - 4)**2/9
Let z be ((-30)/(-14) + -2)/((-729)/(-7290)). Factor 2/7*u**3 - 2/7*u - z*u**2 + 10/7.
2*(u - 5)*(u - 1)*(u + 1)/7
Suppose -9*i + 388 - 91 = 0. Determine a, given that -74 - i*a**2 + 141 - 94 + 57*a + 3*a**3 = 0.
1, 9
Determine y, given that 140/11 - 2/11*y**2 - 6/11*y = 0.
-10, 7
Let t be 1 + (-27)/(-9)*-1. Let f be (-10 - t - 2) + 10. Solve 1/2*q**3 + 3/2*q**2 + f + 0*q = 0 for q.
-3, 0
Solve 0 + 62/3*g**2 + 22/3*g**3 - 4*g = 0.
-3, 0, 2/11
Let n = -20530 + 102654/5. Factor -n + 4/5*c**2 - 2/5*c + 2/5*c**3.
2*(c - 1)*(c + 1)*(c + 2)/5
Let a(x) be the first derivative of -x**4/10 - 14*x**3/5 + 301*x**2/5 - 558*x/5 - 678. Factor a(t).
-2*(t - 9)*(t - 1)*(t + 31)/5
Let j(l) = l + 19. Suppose -f + 2*f = -8. Let b be j(f). Factor b*q**4 + 17*q**2 - 3*q**4 + 16*q**3 - q**2 - 4*q**4.
4*q**2*(q + 2)**2
Determine c so that 15972 - 252*c**3 - 1/2*c**5 + 2057/2*c - 19*c**4 - 1177*c**2 = 0.
-11, -8, 3
Let c(g) be the second derivative of -32*g**5/5 + 2088*g**4 - 272484*g**3 + 17779581*g**2 - 3*g - 76. Factor c(v).
-2*(4*v - 261)**3
Let a(n) be the first derivative of -3*n**5/35 - 6*n**4 - 159*n**3/7 + 6*n**2/7 + 636*n/7 - 1371. Let a(q) = 0. Calculate q.
-53, -2, 1
Let j(u) = -u**3 - 5*u**2 - 5*u - 2. Let z be j(-5). Find b such that 970*b**4 - 64*b - 966*b**4 + b**2 + z*b**2 + 36*b**3 = 0.
-8, -2,
|
{
"pile_set_name": "DM Mathematics"
}
|
etermine f(p).
-19
Let m(i) = 145*i + 1010. Suppose 4*g + 31 = -s, -4*g - 45 = -21. What is m(s)?
-5
Let m(q) be the first derivative of q**3/3 - 3*q**2/2 - 31*q + 1907. What is m(-4)?
-3
Let p(s) be the first derivative of -s**2/2 - 14*s - 1303. Let o be 4/6 - (-69)/(-9). Calculate p(o).
-7
Let p be (-1 - -4 - 6)*-3. Let g(b) = b**3 - b**2 - b + 1. Let n(k) = 5*k**3 + 2*k**2 + 2*k + 7. Let d(u) = -6*g(u) + n(u). Give d(p).
-8
Let c(v) = v**3 - 6*v**2 + v + 9. Suppose -20*y + 19*y = 38*y - 156. Calculate c(y).
-19
Let k(d) be the second derivative of d**4/6 - d**3/6 - d**2 + 847*d. Calculate k(2).
4
Let k(s) = s - 5. Let p be k(0). Let i(h) = 14*h**2 + 19*h + 1. Let b(r) = -34*r**2 - 47*r - 2. Let y(z) = 5*b(z) + 12*i(z). Determine y(p).
-13
Suppose 2678 = -36*z + 23*z. Let g = z - -193. Let p(o) = -o**2 - 14*o - 16. Calculate p(g).
-3
Let c(k) be the third derivative of -k**6/360 + k**4/6 + 2*k**3/3 + 3*k**2. Let g(y) be the first derivative of c(y). Let d be 4 + 8/16*-8. What is g(d)?
4
Let p(u) be the second derivative of 1/2*u**2 + 0 + u**3 - 2*u + 1/12*u**4. Let n = 45 - 51. Determine p(n).
1
Let w(s) be the third derivative of s**6/720 + s**5/8 + 7*s**4/4 + 36*s**2. Let u(t) be the second derivative of w(t). Give u(0).
15
Let v(m) = m - 1. Let u(n) = 10*n - 3. Let f(h) = -u(h) + 4*v(h). Let d(t) = 2*t**3 - 31*t**2 - 35*t + 33. Let a be d(16). Let i = 269 + a. Determine f(i).
11
Let b(j) = j**3 + 6*j**2 - 3*j + 43. Let p be b(-7). Suppose 18 = 3*g - 3*t, 30*g + 5*t = 26*g + p. Let k(l) = l**3 - 4*l**2 - 3*l - 11. Determine k(g).
-1
Let w(a) = 0*a**3 - a**2 - 12 + 9*a**3 - 8*a**3 - 15 + 28. Let j(t) = -3*t**3 + 5*t**2 - 3. Let p = 0 + 1. Let b(k) = p*j(k) + 4*w(k). Determine b(-2).
-3
Suppose g - 6*g + 55 = 5*q, 5*g - 55 = 4*q. Let j(f) = 6*f**2 - 7*f + 18. Let h(z) = 7*z**2 - 6*z + 19. Let x(n) = 5*h(n) - 6*j(n). Determine x(g).
-2
Let m(y) = 4*y**2 - 7*y - 25. Let x be m(-5). Let z = x + -108. Let h(j) = j. Let p(q) = 2*q - 2. Let t(d) = -3*h(d) - p(d). Give t(z).
-8
Let v(y) = y**3 + 3*y**2 - 3*y + 3. Let c(n) = 19*n + 3. Let g be c(-3). Let i = g + 50. What is v(i)?
-1
Suppose -45*s + 30 - 581 = 394. Let u(y) = 8*y + 171. What is u(s)?
3
Let t(x) = 3 + 8*x**2 - 8*x + 2 - 10*x**3 + 11*x**3. Suppose 23*q = 77*q + 486. Determine t(q).
-4
Suppose -3*r + 22 = 4*m, 9*m - 25 = 4*m - 5*r. Let p(z) = -m + 21 + z - 6*z**2 - 15. Determine p(1).
-6
Let b(j) = j**3 - 7*j**2 + 8*j - 5. Let k(f) = 4*f**2 + 5*f. Let u(z) = -2*z - 2. Let t(y) = k(y) - 4*u(y). Let o be t(-3). Give b(o).
-15
Let b be 2 + 1 - 0/(-1). Let g(f) = 9*f - 3. Let l(i) = 164*i - 56. Let q(t) = -18*g(t) + l(t). Give q(b).
4
Let c(r) = -2*r**2 - 13*r + 21. Let a = -48 + 55. Let d(w) = 15 - 16 + a*w - 10 + w**2. Let y(x) = -6*c(x) - 11*d(x). Calculate y(4).
15
Let h be (1 - 0) + -4 + 2. Let c(a) = 37*a - 40*a + 2 + a**2 - 3 + a. Give c(h).
2
Let l(i) = 3*i**3 + 3*i**2. Suppose 9*b - 14*b = 45. Let x be -5 + (-5 - b - 1). Determine l(x).
-12
Let c(n) = -9*n + 260 + 209 + 62 - 305 + 46*n. Calculate c(-6).
4
Let c = 45 + -44. Let r(b) = b**2 - 6*b + 1. Let f(w) = 2*w**2 - 7*w + 1. Let i(g) = -4*f(g) + 5*r(g). Determine i(c).
-4
Let o(w) be the first derivative of w - 1/2*w**2 - 4. Let u be 5 + (0 + 1)*-5. Calculate o(u).
1
Suppose 0 = 5*o - 32 + 22. Let i(r) = -o*r + 8 + 12*r - 9. Let c be i(1). Let z(t) = t**3 - 8*t**2 - 10*t + 11. Give z(c).
2
Let k(i) = 92*i + 9 + 210 + 57*i + 57*i - 211*i. Determine k(41).
14
Let s(y) = -27*y - 293. Let d(b) = -6*b**2 - 309*b + 145. Let q be d(-52). What is s(q)?
4
Let c(h) = h - 6*h + 1 - h. Let t(b) = -1422*b + 24177. Let l be t(17). Determine c(l).
-17
Let a be (-12)/42 - 46/(-14). Let p(u) = 6 - 4*u + 3*u + 4*u**2 - 9 + u**a. Let n = -638 + 634. Calculate p(n).
1
Let n(k) = 5*k**3 - k. Let h be n(1). Suppose -2*o + 6 = -4*u, 0*u = h*o - 2*u - 18. Let p(b) = -b**2 + 6*b + 2. What is p(o)?
7
Suppose -1 + 2 = -s. Let p(o) be the first derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let q = 0 + 1. Let u(l) = -1 + q + 14*l - 13*l. What is u(s(j))?
j
Let r(h) be the first derivative of -h**5/60 + 5*h**3/3 - 4. Let j(l) be the third derivative of r(l). Let g(c) = 15*c**2. Give g(j(u)).
60*u**2
Let r(a) = 4*a - 4. Let h(s) = -19*s**2 + 1. Determine r(h(k)).
-76*k**2
Let o(v) be the third derivative of -11*v**7/5040 + v**5/30 + 3*v**2. Let a(r) be the third derivative of o(r). Let i(n) = -2*n. Give a(i(m)).
22*m
Let g(v) = 17*v. Let m(c) = -194*c. Determine g(m(q)).
-3298*q
Let w(d) = -d**2. Let u be 51 - 2/(-4)*-2. Let m(b) = -50 - 5*b**2 + u. What is w(m(p))?
-25*p**4
Let c(s) = -2*s**2. Let x(z) = -1125*z. Calculate c(x(y)).
-2531250*y**2
Let u(m) be the third derivative of -m**5/15 + m**4/12 + 14*m**2. Let c(s) = 2*s. Give u(c(x)).
-16*x**2 + 4*x
Let l(f) = -f. Let a(i) = -10*i + 35. Give l(a(r)).
10*r - 35
Let k(x) = x**2 + 5*x - 5. Let w(a) = a - 1. Let c(n) = k(n) - 5*w(n). Let m(y) = -2*y. Calculate c(m(r)).
4*r**2
Let k(z) = 7*z + 3. Let u(i) = 50*i + 20. Let l(c) = -20*k(c) + 3*u(c). Let d(y) = -y - 5*y + 4*y. Give l(d(o)).
-20*o
Let i(w) = -5*w. Let k(l) = 2*l - 12*l + l + 0*l. What is i(k(h))?
45*h
Let g(h) = -h**2. Let r(t) = 3*t - 4. Let x(y) = y**2 + 3*y - 5. Let p be x(-5). Let j(a) = -4*a + 5. Let z(n) = p*r(n) + 4*j(n). Give g(z(o)).
-o**2
Let f(u) = -86*u. Let m(z) = 4*z**2. Calculate m(f(w)).
29584*w**2
Let f(y) = -y**2. Let k(b) = 52*b**2 - 9*b. Calculate k(f(j)).
52*j**4 + 9*j**2
Let c(m) = 2*m - 6. Let r(j) = -223*j. Give r(c(v)).
-446*v + 1338
Let o(b) be the third derivative of -b**4/24 + 6*b**2 + 2*b. Let m(w) = -23*w. What is m(o(a))?
23*a
Let c(l) = 3*l. Let j(v) = 13*v + 15. What is j(c(p))?
39*p + 15
Let j(t) = -6*t - 68. Let z(k) = 8*k**2. Determine j(z(f)).
-48*f**2 - 68
Let c(z) = -2*z + 29. Let k(v) = v. Determine c(k(m)).
-2*m + 29
Let m(c) = -3*c. Let v(y) = 82*y. What is m(v(x))?
-246*x
Let d = 5 + -5. Let t(a) = 5*a - 5*a + a**2 + d*a. Let q(w) = -2. Let o(k) = -k + 7. Let f(p) = 2*o(p) + 7*q(p). Give f(t(u)).
-2*u**2
Let g(l) = -858*l**2 - 2. Let y(f) = -2*f. Give g(y(k)).
-3432*k**2 - 2
Let s(u) = -5407*u. Let r(b) = -2*b. Give s(r(y)).
10814*y
Let s(c) be the first derivative of 2*c**3/3 + 2. Let p = -12 - -24. Let v(a) = 3*a - p*a + 10*a. Calculate v(s(j)).
2*j**2
Let h(w) = -w. Let m(u) = u**3 - 7*u**2 + 6*u + 2. Let n be m(6). Let a(g) = -g**2 - 3*g**n + 0*g**2. Calculate a(h(p)).
-4*p**2
Let w(k) = -10*k**2. Let i(g) be the second derivative of 4*g + 0 + 0*g**3 + 0*g**2 - 1/6*g**4. Calculate w(i(t)).
-40*t**4
Let q(p) = -17*p**2. Let k(v) = v**2 + 5*v - 5. Let l(z) = -z + 1. Let f(x) = k(x) + 5*l(x). What is q(f(u))?
-17*u**4
Let h(f) = 41*f. Let j(q) be the second derivative of -q**4/12 - 9*q. Give j(h(b)).
-1681*b**2
Let i(a) = 113*a**2 - 108*a**2 + 4 - 4. Let h(o) = 3*o**2. Calculate h(i(q)).
75*q**4
Let k(q) = 2*q. Let d(r) = -r. Let p(o) = d(o) - 4*k(o). Let x(h) = 6*h**2. What is p(x(t))?
-54*t**2
Suppose 4*z - 12 = -t, -2*t - 12 = -4*z + t. Let h(d) = -z + 1 + 2 - 2*d. Let i(k) = -9*k. Give i(h(o)).
18*o
Let r(g) = -14*g**2. Let w(v) = v. Give w(r(b)).
-14*b**2
Suppose 3 = -y + 4*y. Let k be (y + 3 - 3) + 1. Let z(q) = 0*q**2 - q**2 - q**2 + 0*q**k. Let v(t) = 4*t**2. Calculate z(v(i)).
-32*i**4
Let k(o) = -308*o**2. Let r(f) = -2*f. What is r(k(l))?
616*l**2
Let s(c) = 8*c + 3*c - 8*c. Let u(r) = -7*r**2. Give u(s(t)).
-63*t**2
Let o(c) = -c. Let l(a) = a. Calculate o(l(i)).
-i
Let o(g) be the third derivative of -g**7/1008 - g**5/20 - 4*g**2. Let m(f) be the third derivative of o(f). Let l(y) = -y. Calculate m(l(h)).
5*h
Let p(z) = 7*z**2 - 3*z. Let s(x) be the first derivative of -x**3/3 + 16. Give s(p(r)).
-49*r**4 + 42*r**
|
{
"pile_set_name": "DM Mathematics"
}
|
3*p - 3/2*p**3 + 0 - d*p**5 = 0.
-2, -1, 0, 1
Find i, given that 0*i + 0 - 3/2*i**3 + 3/2*i**2 = 0.
0, 1
Let p(a) be the first derivative of a + 1/3*a**4 - 1/5*a**6 + a**2 + 1/21*a**7 - a**3 - 3 + 1/5*a**5. Let h(c) be the first derivative of p(c). Factor h(n).
2*(n - 1)**4*(n + 1)
Suppose 5*n + 9 = 2*g - 9, g = -4*n - 4. Suppose -3 = -2*j + 1. Factor -2*y**j + 2*y**4 - g*y**2 + 4*y**2.
2*y**2*(y - 1)*(y + 1)
Let w(a) be the first derivative of -2*a - 2 + 1/3*a**2 + 2/9*a**4 + 7/20*a**5 - 11/18*a**3. Let i(h) be the first derivative of w(h). Factor i(t).
(t + 1)*(3*t - 1)*(7*t - 2)/3
Let h(f) = 3*f**2 + 11*f - 27. Let s(k) = -k**2 - 6*k + 14. Let l(g) = 2*h(g) + 5*s(g). Factor l(t).
(t - 4)**2
Let h be 2 + (-12)/20 + -1. Factor 2/5*y**4 - h*y**3 - 2/5*y**2 + 2/5*y + 0.
2*y*(y - 1)**2*(y + 1)/5
Let f = 13/4 - 11/4. Find z such that -1/4*z**2 - 3/4*z - f = 0.
-2, -1
Let z(s) be the third derivative of -s**11/1663200 + s**9/151200 - s**7/25200 - s**5/30 + 2*s**2. Let m(u) be the third derivative of z(u). Factor m(i).
-i*(i - 1)**2*(i + 1)**2/5
Let i(l) be the second derivative of -l**6/27 + 2*l**5/15 - 2*l**4/27 - 7*l. Factor i(j).
-2*j**2*(j - 2)*(5*j - 2)/9
Let d be -5*(5/20 + 172/(-560)). Factor d*r**3 + 0 + 0*r + 2/7*r**2.
2*r**2*(r + 1)/7
Factor 12*t**3 - 3*t**3 - t**3 - t**4 + 5*t**4.
4*t**3*(t + 2)
Let n = 494/3 - 162. Find y such that -n*y**4 + 8*y**2 - 10/3*y - 4/3 - 2/3*y**3 = 0.
-2, -1/4, 1
Let d(g) = 3*g**3 - 9*g**2 + 9*g - 5. Let l(q) = 12*q**3 - 36*q**2 + 36*q - 21. Let t(z) = 9*d(z) - 2*l(z). Let t(a) = 0. What is a?
1
Let p be (-4)/26 - (-1952)/(-156). Let q = p - -13. Factor y + 1/3 + q*y**3 + y**2.
(y + 1)**3/3
Suppose 2*b - 60 = w, -120 = 2*w + 3*b - 0*b. Let k be 2/(-12) + (-25)/w. Suppose -1/4*j + 1/2*j**2 - k*j**3 + 0 = 0. Calculate j.
0, 1
Let p be (-20)/(-70)*(-7)/(-4). Suppose -p*u**4 - 1/2*u**3 - 1 + 3/2*u**2 + 1/2*u = 0. Calculate u.
-2, -1, 1
Let g(h) = -5*h**2 - 2*h + 4. Let c(o) = -9*o**2 - 4*o + 7. Let z be (1 + 0)/((-11)/(-44)). Let u(y) = z*c(y) - 7*g(y). What is s in u(s) = 0?
-2, 0
Suppose -2*b = b. Let z(a) be the third derivative of 0*a**6 + b*a + 0 + a**2 - 1/72*a**4 + 1/60*a**5 - 2/315*a**7 + 0*a**3. Factor z(i).
-i*(i + 1)*(2*i - 1)**2/3
Let u(v) be the third derivative of 0*v**5 - 1/9*v**3 - 1/90*v**6 + 1/315*v**7 + 6*v**2 + 0 + 1/18*v**4 + 0*v. Find y, given that u(y) = 0.
-1, 1
Determine d, given that 5/8 + 1/8*d**3 - 1/8*d - 5/8*d**2 = 0.
-1, 1, 5
Factor -2/21*l**3 - 6/7*l**2 - 8/21 - 22/21*l + 2/21*l**4.
2*(l - 4)*(l + 1)**3/21
Let b = 22 - 17. Let o(a) be the first derivative of 1/9*a**3 + 0*a**2 + 0*a - 1/15*a**b + 0*a**4 - 1. Let o(h) = 0. What is h?
-1, 0, 1
Let k(n) be the third derivative of n**6/60 - n**5/30 - n**4/2 - 25*n**2. Factor k(v).
2*v*(v - 3)*(v + 2)
Suppose -4*o - r + 49 = 0, -4*r - 3 = -o - 12. Let x(a) = -2*a. Let h be x(-1). Let -24*z**2 + 18*z + h - 6 + o*z**3 - z**3 = 0. Calculate z.
2/5, 1
Let m(c) be the first derivative of -c**2 - 10*c - 5. Let y be m(-6). Suppose 2/9*f**y + 0 + 4/9*f = 0. Calculate f.
-2, 0
Factor -25/3*p**2 - 9*p - 2/3.
-(p + 1)*(25*p + 2)/3
Let z(u) = 3*u**2 - u + 1. Let m(h) = h**2 + 0*h**2 + h**2 - 2*h. Let p(s) = -5*m(s) + 4*z(s). Factor p(n).
2*(n + 1)*(n + 2)
Let i = 815/9 - 269/3. Let m(o) be the first derivative of 2/3*o**2 + 0*o - 1/15*o**5 - i*o**3 + 1 + 5/12*o**4. Solve m(j) = 0 for j.
0, 1, 2
Let l(y) be the first derivative of -y**5 - 15*y**4/4 - 5*y**3 - 5*y**2/2 + 31. Factor l(x).
-5*x*(x + 1)**3
Suppose -4*p = -60 + 12. Let c = p + -12. Let -2/7*y**2 + c*y + 0 + 2/7*y**3 = 0. Calculate y.
0, 1
Let v(t) be the third derivative of 7*t**6/480 + 19*t**5/240 + t**4/12 - t**3/6 + t**2. Suppose v(b) = 0. Calculate b.
-2, -1, 2/7
Let s(j) = -8*j - 117. Let x be s(-15). Factor -6/5*v**2 + x*v - 6/5.
-3*(v - 2)*(2*v - 1)/5
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
st common multiple of 286734 and 105.
1433670
What is the common denominator of -77/3315 and 17/36855?
626535
Calculate the lowest common multiple of 1216 and 121904.
487616
Calculate the common denominator of 61/53816 and -125/126852.
1775928
Calculate the least common multiple of 619095 and 37395.
5571855
Calculate the lowest common multiple of 72 and 22104.
22104
Calculate the common denominator of 113/192 and 157/960.
960
What is the lowest common multiple of 508344 and 3?
508344
What is the common denominator of 55/162306 and -131/162306?
162306
What is the common denominator of -111/196 and -31/532?
3724
Calculate the smallest common multiple of 26040 and 7161.
286440
Find the common denominator of 129/14030 and -63/440.
617320
What is the least common multiple of 3699 and 1918?
51786
What is the lowest common multiple of 45 and 2406?
36090
Calculate the smallest common multiple of 8 and 64736.
64736
Calculate the smallest common multiple of 68 and 44948.
44948
Calculate the lowest common multiple of 22422 and 78477.
156954
What is the common denominator of -65/33802 and 38/7?
236614
Calculate the lowest common multiple of 9213 and 5976.
221112
Find the common denominator of -145/6 and 11/96678.
96678
Calculate the lowest common multiple of 5396 and 228.
16188
Calculate the common denominator of -157/8940 and -27/4.
8940
What is the least common multiple of 152220 and 1290?
152220
What is the common denominator of 7/30 and -45/1099?
32970
Calculate the lowest common multiple of 115787 and 7735.
7526155
Calculate the lowest common multiple of 57684 and 924.
403788
Calculate the common denominator of 25/617298 and -9/1131713.
6790278
Find the common denominator of -77/1061848 and 7/7218.
9556632
Calculate the common denominator of -37/32 and -5/464612.
3716896
What is the least common multiple of 880 and 20?
880
What is the common denominator of -65/46 and -95/1506?
34638
What is the common denominator of 27 and -41/29600?
29600
What is the least common multiple of 8592 and 10740?
42960
What is the common denominator of -21/932 and -19/932?
932
Calculate the lowest common multiple of 2 and 79264.
79264
What is the least common multiple of 4 and 1118503?
4474012
Find the common denominator of -77/32 and 7/300740.
2405920
Find the common denominator of 13/381843 and -53/495.
1909215
Calculate the smallest common multiple of 642 and 458.
147018
What is the common denominator of 67/24 and 61/570?
2280
Calculate the lowest common multiple of 96 and 3222.
51552
Calculate the lowest common multiple of 134 and 315.
42210
Calculate the lowest common multiple of 1476 and 24.
2952
Find the common denominator of -41/672 and -9/19072.
400512
What is the common denominator of 71/675 and -1/132246?
3306150
What is the lowest common multiple of 20 and 645756?
3228780
What is the smallest common multiple of 28 and 54420?
380940
Calculate the common denominator of 131/3210 and -99/4280.
12840
What is the least common multiple of 168 and 7170?
200760
What is the lowest common multiple of 716958 and 260712?
2867832
Calculate the lowest common multiple of 94 and 282.
282
What is the lowest common multiple of 5746 and 187?
63206
What is the least common multiple of 1152 and 12978?
830592
Calculate the least common multiple of 858 and 396.
5148
What is the common denominator of 181/660 and -197/108900?
108900
What is the common denominator of -87/8012 and -11/24?
48072
Calculate the common denominator of -20/909 and 45/712.
647208
What is the least common multiple of 304 and 47728?
47728
What is the common denominator of 19/57312 and 61/1216?
2177856
What is the lowest common multiple of 10 and 723613?
7236130
Find the common denominator of -53/5184 and 49/27.
5184
What is the lowest common multiple of 13840 and 13840?
13840
Calculate the common denominator of 169/1865160 and -47/594.
1865160
What is the lowest common multiple of 9888 and 24?
9888
What is the common denominator of 35/151 and -12/1705?
257455
What is the common denominator of 2/271775 and -107/815325?
815325
Calculate the least common multiple of 3610 and 3971.
39710
Calculate the common denominator of 107/2790 and 5/65844.
329220
Calculate the common denominator of -33/35 and 88/78645.
78645
Calculate the common denominator of 61/36 and -125/259344.
259344
Calculate the lowest common multiple of 1 and 8285.
8285
Calculate the common denominator of -133/6 and 1/596802.
596802
What is the common denominator of -53/7 and -50/373127?
2611889
Calculate the smallest common multiple of 33000 and 200.
33000
Calculate the common denominator of -151/458754 and 67/12.
917508
Find the common denominator of -37/114 and -86/705.
26790
Find the common denominator of 59/576 and 67/2700.
43200
Calculate the lowest common multiple of 139263 and 21.
974841
What is the least common multiple of 580983 and 12?
2323932
Find the common denominator of -89/15 and 79/216786.
1083930
Calculate the common denominator of -101/6616 and -107/18194.
72776
Calculate the common denominator of -37/1243 and 19/406800.
4474800
What is the least common multiple of 23856 and 112?
23856
Calculate the smallest common multiple of 24984 and 324.
224856
What is the smallest common multiple of 149996 and 171424?
1199968
What is the lowest common multiple of 345 and 17365?
52095
What is the smallest common multiple of 58896 and 58896?
58896
What is the common denominator of -61/1815579 and -70/9?
1815579
Calculate the smallest common multiple of 1052068 and 14.
7364476
Calculate the common denominator of 169/3570 and -103/10570.
539070
What is the smallest common multiple of 3440 and 1040?
44720
Calculate the common denominator of -29/87622 and -36/7.
613354
Calculate the common denominator of -89/1230 and 59/1863450.
1863450
Calculate the smallest common multiple of 221820 and 44364.
221820
Find the common denominator of 115/24094 and -17/9.
216846
Calculate the smallest common multiple of 275425 and 575.
275425
Calculate the least common multiple of 70 and 280.
280
What is the least common multiple of 339 and 135?
15255
What is the common denominator of -31/890 and 36/76273?
762730
Calculate the common denominator of -7/27960 and -25/168.
195720
Calculate the smallest common multiple of 368 and 3376.
77648
Calculate the least common multiple of 22587 and 97877.
293631
Calculate the common denominator of 95/25036 and -91/612.
3830508
Calculate the common denominator of -45/10766 and 41/4046.
3111374
What is the least common multiple of 1072808 and 167?
1072808
Calculate the smallest common multiple of 8483 and 6487.
110279
Calculate the common denominator of -119/141480 and 17/13100.
707400
What is the lowest common multiple of 98 and 322?
2254
Find the common denominator of 75/14 and -187/971460.
971460
Calculate the lowest common multiple of 74085 and 53880.
592680
Calculate the lowest common multiple of 45472 and 3136.
90944
What is the least common multiple of 126312 and 189468?
378936
|
{
"pile_set_name": "DM Mathematics"
}
|
reds digit of o?
1
Let c(x) be the first derivative of -2*x**2 - 16*x + 2. Let f be c(-5). Suppose -4*o = 4*m - 505 - 111, 4 = -f*o. What is the units digit of m?
5
Suppose 0 = -4*f - 8 - 24. Suppose -6*b = 12*b + 2232. Let s = f - b. What is the tens digit of s?
1
Suppose h - 16 = 9*h. Let l = -33 + 41. What is the units digit of (l/8)/(h/(-4))?
2
Let f(w) be the second derivative of w**5/30 - 17*w**3/3 - 9*w**2 + 37*w. Let g(x) be the first derivative of f(x). What is the units digit of g(6)?
8
Suppose -d = -17*d. Suppose 4*m - 583 = -d*c + c, -m - 2*c = -157. What is the hundreds digit of m?
1
Suppose -3*q = -0*q - 15, 92 = 3*z - 2*q. Let c = z - -37. Let p = c - -184. What is the tens digit of p?
5
Let l = 996 - 1002. Let m(s) = 15*s**2 + 70*s + 387. What is the hundreds digit of m(l)?
5
Suppose -b + 40 = 37. What is the units digit of (6/(-8))/(b*(-7)/7392)?
4
Let h be 4/((-20)/75*-3). Suppose 3*l + h*f = 1618, -5*l + 0*f + 3*f + 2708 = 0. What is the hundreds digit of l?
5
Suppose 0 = 5*k - v - 7 + 2, -5*k - 2*v = 10. Suppose k = -f + 2*j + 615, 4*j = -2*f + 7*f - 3045. What is the units digit of f?
5
Let y(o) = 18*o + 85. Let v be y(-4). Suppose -4*h - 5*i + 417 = 0, -v = -2*i - 3. What is the tens digit of h?
9
Let l = -7 + 13. Suppose -3*w = -l*w + 2*j + 13, -j - 6 = -w. What is the units digit of 23*w - (-1 + 4 - 0)?
0
Let p(q) = 7*q**2 + 8*q + 21. Let o(d) = 6*d - 49. Let v be o(7). What is the units digit of p(v)?
8
Suppose 10*t = d + 6*t - 5645, 2*d + 2*t = 11250. What is the thousands digit of d?
5
Let c be (4/10)/((-34)/(-1360)). What is the units digit of (-1554)/(-4) - (-8)/c?
9
Let f(l) = -120*l + 17. Let z(p) = 121*p - 16. Let o(s) = -4*f(s) - 5*z(s). What is the hundreds digit of o(-2)?
2
Suppose -45 - 54 = -b. Let j = b - 86. Suppose 3*u - j*u = -1570. What is the tens digit of u?
5
What is the tens digit of (120/(-80))/(18/(-736068))?
3
Let d(x) = -17*x**2 - x + 10. Let o be d(-3). Let a = o + 446. What is the units digit of a?
6
Let h(s) = 37*s**2 + 12*s + 1. Let v = 147 + -148. What is the tens digit of h(v)?
2
Suppose -4*c = -3*g + 2173, 9*g - 5*g + c - 2910 = 0. Let j(y) = 6*y**2 - y. Let d be j(1). Suppose -d*a + 218 = -g. What is the units digit of a?
9
What is the ten thousands digit of 2/(-5) - 1427033/(-95)?
1
Suppose 3*g + 2 = -2*p, -5*g + 2*p - 6 = -6*g. What is the tens digit of 72/(-32)*g - -1064?
7
Suppose -5*o - 15 = -4*d - 19, 4*o + 3*d - 28 = 0. Suppose 2*v - 3502 = -o*u, 4*u - 581 = 5*v - 9364. What is the thousands digit of v?
1
Let g be -2 + (3/2)/((-3)/(-8)). Suppose -10 = -3*y + g*r - r, -r + 25 = 4*y. Suppose -3*b - 5*m + 173 = -0*m, -5*m - 235 = -y*b. What is the units digit of b?
1
What is the tens digit of (1 - 3)/(-10 + (-4676)/(-468))?
3
Suppose 9*q - 4*q = n + 9254, -3*n = 12. Let o = q + -749. What is the units digit of o?
1
Let k(q) = -22*q + 5. Let c be k(-2). Suppose -4*y - 5*w = -7*y + 48, -5*y - 2*w + c = 0. Let i = y - -93. What is the hundreds digit of i?
1
Suppose -3*i + 7 = -3*x + i, -5*x - 5*i = -35. Suppose -80 = -4*u + x*u. What is the units digit of u?
0
Let o be (-4)/1 + 225/5. Let v = o + 152. What is the hundreds digit of v?
1
Suppose 3*g + 2*n = 16, -3*n + 0*n - 10 = -4*g. Suppose 4*b + 18 = -5*w - 17, 2*b - 2 = g*w. What is the units digit of -28*1*(b - 3)?
4
Let i = -649 + 654. Let a(h) = 913*h + 1. Let q be a(1). Suppose i*y + 4*n = 919, -5*y - 2*n = -3*n - q. What is the hundreds digit of y?
1
Let n be 16 + 15/(-3) + 4. Suppose 5*g + 958 = 3*t, 10*t - n*t = -5*g - 1580. What is the hundreds digit of t?
3
Suppose 0 = -4*t + b + 28567, 489 - 494 = -b. What is the thousands digit of t?
7
Let y(z) = 10*z**3 - 11*z**2 - 6*z + 14. Suppose 0 = 4*k + n - 25, 2*k - 2*n = -3*n + 13. What is the units digit of y(k)?
2
Let m(y) = 9*y**2 + 10*y + 8. Let z be (-3)/6*4 + (-150)/(-15). What is the units digit of m(z)?
4
Let k = 2946 + 6044. What is the tens digit of k?
9
Suppose -393 = -16*s + 13*s. Let f be (s/4 + -1)*(24 - 20). Suppose -2*o - 3*l = -268, f + 165 = 2*o - 3*l. What is the units digit of o?
0
Let v be (-2)/(-9) - (-214088)/504. Let t = -118 + v. What is the units digit of t?
7
Suppose -3*d + 6*d - 3 = 0. Let g be (3/((-36)/(-20)))/(d/378). Suppose 5*o - 325 = -l + o, 0 = -2*l - 3*o + g. What is the tens digit of l?
0
Suppose 0 = -2*o + 7*j - 6*j + 9706, j - 24265 = -5*o. What is the units digit of o?
3
Let b be (-16)/6 - (-2)/(-6). Let m(l) = -26*l - 698. Let s be m(-22). What is the units digit of 1097/7 - (-12)/s*b?
7
Let w = 15786 - -183. What is the ten thousands digit of w?
1
Let b be 0/((3 + 0
|
{
"pile_set_name": "DM Mathematics"
}
|
s in -126*h**3 - 108*h**3 + 37*h**3 - 18*h**3.
-215*h**3
Collect the terms in -341*w**3 + 170*w**3 - 14*w + 174*w**3.
3*w**3 - 14*w
Collect the terms in -8460 - 6*m + 347 + 2*m.
-4*m - 8113
Collect the terms in 158*h + 87*h - 2*h - 47*h.
196*h
Collect the terms in -2964*q + 993*q + 984*q + 998*q.
11*q
Collect the terms in 84*j**3 - 419*j**3 + 84*j**3 + 81*j**3 + 81*j**3 + 91*j**3.
2*j**3
Collect the terms in 248*k**3 - 47*k**3 - 65*k**3.
136*k**3
Collect the terms in 3 + 166*g**3 - 168*g**3 + 165*g - 3.
-2*g**3 + 165*g
Collect the terms in -107*x**2 + 157*x**2 - 38*x**2.
12*x**2
Collect the terms in -1113 + 4345 + 5*a - 1007 - 1116 - 1109.
5*a
Collect the terms in w - 836*w**2 + 785*w**2 - w.
-51*w**2
Collect the terms in 10 - 10 + 6183*s.
6183*s
Collect the terms in 49*t**3 + 65*t**3 - 375*t**3 - 267*t**3.
-528*t**3
Collect the terms in -4*z**2 + 90016 - 90016.
-4*z**2
Collect the terms in 260*i - 135*i - 125*i - 6*i**2 + 2*i**2.
-4*i**2
Collect the terms in 3 - 16*d + 50*d**2 + 8*d**2 - 4.
58*d**2 - 16*d - 1
Collect the terms in 5*u**3 - 16*u - u - 13*u - 2*u.
5*u**3 - 32*u
Collect the terms in 532*k**3 + 324*k**2 - 1053*k**3 - 46*k + 523*k**3 + 46*k.
2*k**3 + 324*k**2
Collect the terms in -3*j**2 - 17*j**3 - 12*j**3 + 8 + 6*j**3.
-23*j**3 - 3*j**2 + 8
Collect the terms in 139*z + 93532 - 139*z + 8*z**3 - 93532.
8*z**3
Collect the terms in 120*u**3 - 188*u**3 + 82*u**3 - 26 + 26.
14*u**3
Collect the terms in 13943*w**2 - 6107*w**2 + 12879*w**2.
20715*w**2
Collect the terms in -3*i - 3*i + 41*i - 20*i.
15*i
Collect the terms in -9 - 10 + 14 - 38*y.
-38*y - 5
Collect the terms in -23*o + 4*o + 7*o - 6*o + 6*o.
-12*o
Collect the terms in 2*c**2 - 439*c**3 - 7*c**2 - 7*c**2 + 12*c**2.
-439*c**3
Collect the terms in 3*f**2 - 1292*f**3 + 2264*f**3 - 964*f**3 - 3*f**2.
8*f**3
Collect the terms in -6*c - 11*c - 3*c + 5*c.
-15*c
Collect the terms in -616*h - 3 - 613*h - 617*h + 1841*h.
-5*h - 3
Collect the terms in 14 - 14 - 229*m**2 + 233*m**2.
4*m**2
Collect the terms in -2294*b**3 + 4588*b**3 + 555*b - 2296*b**3 - 555*b.
-2*b**3
Collect the terms in 1187*o + 1418*o + 648 - 322 - 10*o - 327.
2595*o - 1
Collect the terms in 5*k + 32*k - 50*k.
-13*k
Collect the terms in -851*o**3 - 854*o**3 - 51*o + 1704*o**3.
-o**3 - 51*o
Collect the terms in -25 - 4*t**2 + 2*t**2 - 31*t**3 + 25.
-31*t**3 - 2*t**2
Collect the terms in 3 + 4 - 24*g**3 - 7 + 4*g**3.
-20*g**3
Collect the terms in 71764*v - 35883*v - 35897*v.
-16*v
Collect the terms in 40824*r**2 + 28953*r**2 - 21709*r**2.
48068*r**2
Collect the terms in -108*x - 48*x + 13*x - 2*x.
-145*x
Collect the terms in 3 - 5 - 4 - 366*a + 3.
-366*a - 3
Collect the terms in 17*b + 11*b**2 - 16 - 16*b**2 - 17*b + 3*b**2.
-2*b**2 - 16
Collect the terms in 1 + 3*t + 67*t**3 - 3 + 295*t**3.
362*t**3 + 3*t - 2
Collect the terms in 276637 - 15*g**2 - 276637.
-15*g**2
Collect the terms in 2*d - 6*d + 1399 - 442 - 633.
-4*d + 324
Collect the terms in 1069*l**2 + 1075*l**2 + 6*l**3 - 2144*l**2.
6*l**3
Collect the terms in -802*u**3 - 3 - 1 - 10.
-802*u**3 - 14
Collect the terms in 156*m + 1884 - 1884.
156*m
Collect the terms in 176 - 240 + 4*g**2 + g**2 - 1023.
5*g**2 - 1087
Collect the terms in 3564*o**3 - 338 + 338.
3564*o**3
Collect the terms in -1086*g + 119 + 541*g + g**2 + 545*g.
g**2 + 119
Collect the terms in -35*k - 34*k + 169*k - 38*k - 33*k - 34*k.
-5*k
Collect the terms in 3*z**2 - 11*z**2 + 11*z**2 - 25*z.
3*z**2 - 25*z
Collect the terms in 7 + 2 + 6*p**3 - 12*p**2 + 15*p**2 - 9.
6*p**3 + 3*p**2
Collect the terms in 8 - 136*g - 154*g - 70*g.
-360*g + 8
Collect the terms in -30*m**2 - 33*m**2 - 5 + 58*m**2 + 7*m**2 - 3*m + 3*m.
2*m**2 - 5
Collect the terms in -4265 + 4265 - 36543*y**2.
-36543*y**2
Collect the terms in -12669*n**2 - 12675*n**2 + 25363*n**2.
19*n**2
Collect the terms in 361044*y - 722103*y + 361058*y.
-y
Collect the terms in -255*w**2 + 506*w**2 - 251*w**2 + 16088*w**3.
16088*w**3
Collect the terms in -6944*b**2 - 47622*b**2 + 5019*b**2.
-49547*b**2
Collect the terms in 0*n**2 + 2*n**2 + 3*n**2 - 6*n**2 - 87*n + 2*n**2.
n**2 - 87*n
Collect the terms in 416558 + 7*h**3 - 416558.
7*h**3
Collect the terms in -32 - 3*m**2 - 15 - 10 + 57.
-3*m
|
{
"pile_set_name": "DM Mathematics"
}
|
s picked without replacement from {q: 1, a: 3, z: 1, m: 1, c: 1}?
1/21
What is prob of picking 1 a and 1 z when two letters picked without replacement from zkzkkkaklaskaklkk?
3/68
Four letters picked without replacement from {r: 10, l: 10}. What is prob of picking 3 l and 1 r?
80/323
What is prob of picking 2 m and 2 w when four letters picked without replacement from {w: 2, r: 5, m: 5}?
2/99
Calculate prob of picking 1 q and 1 e when two letters picked without replacement from oeqeeeeek.
1/6
Two letters picked without replacement from hdrhrrdhhrddhhrrh. Give prob of picking 1 r and 1 h.
21/68
Three letters picked without replacement from {o: 2, r: 2, x: 8, l: 3}. What is prob of picking 3 x?
8/65
Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {l: 3, c: 1}.
1/2
Two letters picked without replacement from mszjsmjossooszjmos. What is prob of picking 1 s and 1 j?
2/17
Two letters picked without replacement from {q: 2, y: 2, w: 5}. What is prob of picking 2 w?
5/18
What is prob of picking 2 e when two letters picked without replacement from {y: 5, a: 5, e: 3}?
1/26
Two letters picked without replacement from {l: 3, h: 9}. Give prob of picking 2 h.
6/11
What is prob of picking 3 o and 1 h when four letters picked without replacement from {b: 2, z: 8, h: 7, o: 3}?
7/4845
What is prob of picking 2 w when two letters picked without replacement from fffww?
1/10
Three letters picked without replacement from {v: 4, z: 2, t: 5, c: 2}. Give prob of picking 1 v, 1 t, and 1 c.
20/143
Calculate prob of picking 2 m when two letters picked without replacement from fmmmmmfmmmfmmmmmmmff.
21/38
Calculate prob of picking 4 p when four letters picked without replacement from ppppppppp.
1
Four letters picked without replacement from {c: 5, t: 3, p: 1}. What is prob of picking 1 p and 3 t?
1/126
What is prob of picking 2 a, 1 z, and 1 w when four letters picked without replacement from awazzzzadazaaa?
15/143
Two letters picked without replacement from {i: 1, j: 1, o: 2}. Give prob of picking 1 i and 1 o.
1/3
Two letters picked without replacement from {k: 5, l: 4, n: 1, w: 3}. What is prob of picking 1 l and 1 w?
2/13
Two letters picked without replacement from nnwnnnnnunnnnnnn. What is prob of picking 2 n?
91/120
Calculate prob of picking 2 a when two letters picked without replacement from {a: 4, f: 2, y: 10, b: 1}.
3/68
Two letters picked without replacement from aaayycay. What is prob of picking 1 y and 1 a?
3/7
Calculate prob of picking 1 i and 1 s when two letters picked without replacement from suyyysiyyyyyyy.
2/91
Three letters picked without replacement from {e: 6, y: 4}. Give prob of picking 1 y and 2 e.
1/2
Four letters picked without replacement from xjaaajjpraaaj. Give prob of picking 1 j, 1 x, 1 p, and 1 a.
24/715
Four letters picked without replacement from {m: 1, x: 4, h: 3, j: 2}. What is prob of picking 1 h and 3 x?
2/35
Three letters picked without replacement from yabia. What is prob of picking 1 y, 1 i, and 1 b?
1/10
What is prob of picking 4 u when four letters picked without replacement from uujiuujuijiui?
3/143
Two letters picked without replacement from {g: 2, w: 6, d: 1, z: 2, t: 1, u: 5}. Give prob of picking 1 w and 1 g.
3/34
Calculate prob of picking 2 a when two letters picked without replacement from aapaaopboapop.
5/39
Three letters picked without replacement from {z: 7, g: 9}. Give prob of picking 3 g.
3/20
Two letters picked without replacement from rrrrhrhr. Give prob of picking 2 r.
15/28
Calculate prob of picking 3 d when three letters picked without replacement from ffddpfpffdfpdddff.
1/34
Three letters picked without replacement from {g: 2, y: 1, p: 1, c: 1, a: 1, i: 2}. What is prob of picking 1 a, 1 y, and 1 p?
1/56
Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, v: 4, a: 4, r: 1}.
1/55
Two letters picked without replacement from {i: 4, o: 2, z: 1, u: 2, j: 5}. Give prob of picking 1 z and 1 j.
5/91
Calculate prob of picking 1 w, 1 t, and 1 c when three letters picked without replacement from {c: 4, t: 6, w: 7}.
21/85
What is prob of picking 1 f and 2 i when three letters picked without replacement from csfisiicsfs?
2/55
What is prob of picking 1 j, 1 w, 1 u, and 1 x when four letters picked without replacement from uwkjknx?
1/35
What is prob of picking 2 e and 1 h when three letters picked without replacement from hhehhee?
12/35
What is prob of picking 1 r and 1 l when two letters picked without replacement from {g: 1, r: 4, l: 10, c: 2}?
5/17
What is prob of picking 1 d and 1 h when two letters picked without replacement from dhhlhzz?
1/7
Calculate prob of picking 2 e when two letters picked without replacement from {e: 11, z: 4, d: 3}.
55/153
What is prob of picking 1 v and 3 a when four letters picked without replacement from vvavvvvvaav?
4/165
What is prob of picking 1 s and 3 w when four letters picked without replacement from mwismsimiwmiiwiiii?
1/1530
Calculate prob of picking 2 r when two letters picked without replacement from {r: 7, p: 1}.
3/4
Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {k: 2, s: 2, a: 5}.
1/9
Three letters picked without replacement from ybyykpbbcbpb. What is prob of picking 1 p and 2 y?
3/110
What is prob of picking 1 r, 1 h, and 1 f when three letters picked without replacement from ffhqrfrfqqh?
16/165
Three letters picked without replacement from ocnpb. What is prob of picking 1 c, 1 o, and 1 b?
1/10
Calculate prob of picking 1 k, 1 m, and 1 q when three letters picked without replacement from {i: 1, k: 1, q: 3, d: 5, p: 4, m: 1}.
3/455
Four letters picked without replacement from {g: 2, w: 6}. What is prob of picking 2 w and 2 g?
3/14
Calculate prob of picking 2 j and 1 w when three letters picked without replacement from {w: 1, j: 2, i: 1, b: 1}.
1/10
What is prob of picking 2 y when two letters picked without replacement from zzyzyzzzz?
1/36
What is prob of picking 1 f and 1 e when two letters picked without replacement from feejcfn?
4/21
What is prob of picking 1 c and 1 x when two letters picked without replacement from xceec?
1/5
Two letters picked without replacement from llallfillliffflali. Give prob of picking 2 l.
4/17
Four letters picked without replacement from {q: 5}. What is prob of picking 4 q?
1
What is prob of picking 2 z, 1 d, and 1 e when four letters picked without replacement from dedpddzzo?
2/63
Calculate prob of picking 2 u when two letters picked without replacement from {q: 4, u: 2, t: 3, f: 3, n: 2, k: 2}.
1/120
Three letters picked without replacement from xyyx. Give prob of picking 1 y and 2 x.
1/2
Two letters picked without replacement from {u: 17, j: 3}. Give prob of picking 1 j
|
{
"pile_set_name": "DM Mathematics"
}
|
Let r = t - 0.7. Let m = -3 + 3.3. What is the third biggest value in r, -2/3, m?
-2/3
Let s = -6.237 + -0.063. Let p = 0.7 - s. Let c = 6.5 - p. What is the third smallest value in 4/5, c, -5?
4/5
Let p = -21 - -19. Which is the third smallest value? (a) 2 (b) -2/19 (c) p
a
Suppose 2*i - 10*i = -32. What is the second smallest value in -2, -0.09, i?
-0.09
Let r = 55.4 - 51. Let u = r + -0.4. Which is the second smallest value? (a) 5/6 (b) -3 (c) u
a
Let f = -0.5 - -0.1. Let q = 6.84 - -0.16. Let p = q + -6.8. What is the second biggest value in p, f, -3/5?
f
Let b = -22 + 27. Suppose 2*i + 18 = -4*m + 5*m, 0 = -m - 5*i - 17. What is the smallest value in -2/5, b, m?
-2/5
Let c = 1 - 1. Suppose -2*u - 4*a + 20 = c, a - 64 = -5*u - 2*a. Let b be u/(-40) + 2/(-8). What is the biggest value in b, 5/2, -5?
5/2
Let d = -3 - -2. Which is the second smallest value? (a) -2/7 (b) 0.4 (c) d
a
Let r = -3 + 3. Let p = 5 - 4. What is the third biggest value in -1, p, r?
-1
Let w = 4 - 6. Let p = -1.5 - w. Let x = 2 - 6. What is the biggest value in x, p, 1/6?
p
Let s = 2.5 - 2.2. Which is the smallest value? (a) 8 (b) s (c) -5
c
Suppose 159 + 114 = -3*i. Let g = -453/5 - i. Which is the smallest value? (a) 4/5 (b) -1/2 (c) g
b
Let t(q) = q + 1. Let k be t(-5). Which is the second smallest value? (a) 0.4 (b) -1/12 (c) k
b
Let z(g) = g**3 + 7*g**2 + 3*g. Let q be z(-5). Let d be ((-28)/q)/(2/5). What is the second biggest value in -1, d, -2/11?
-1
Let w = 2.1 + -13.1. Let d = w + 16. What is the third biggest value in d, 2/21, 2?
2/21
Let o = 3.4 - -0.8. Let n = -0.2 + o. Which is the second smallest value? (a) 1/6 (b) 1/5 (c) n
b
Let z = -145 - -142. What is the second smallest value in -7, 4, z?
z
Suppose 5*x - 111 = 3*p, -2*p + 6*p = -5*x + 97. Let a be (-4)/(-14)*x/(-27). What is the second biggest value in 2, a, 1?
1
Suppose -m - 10 = -6*m. Suppose 0 = -0*q - m*q - 2. Which is the third smallest value? (a) q (b) -1/9 (c) 0.2
c
Let k = 8.9 - 9.2. Which is the fourth biggest value? (a) 1 (b) -2 (c) k (d) -4
d
Let d = -11 + 6. Which is the second biggest value? (a) d (b) 2 (c) -2
c
Suppose -24 + 2 = v - 2*p, -25 = v - p. Let i be (4/v)/(12/(-14)). Which is the third biggest value? (a) 1 (b) i (c) -2/5
c
Let z = 1.15 + -0.05. Let f = z - 1.6. Which is the third smallest value? (a) -0.4 (b) 4/5 (c) f
b
Let q = 60 - 63. Which is the second biggest value? (a) q (b) -7 (c) 1/4
a
Let u = 3.1 - 3. Let l = -3.1 + u. Let v = 4 - -1. Which is the second smallest value? (a) l (b) v (c) 0.3
c
Suppose 6*x + 59 = -7. What is the biggest value in -0.4, 5, x?
5
Let z = 3.7 - 3.2. Let x = -2/455 + 473/4095. Let r = -11 + 7. Which is the smallest value? (a) r (b) z (c) x
a
Let l = 214 + -219. Suppose -u - 3*u - 12 = 0. Which is the third biggest value? (a) u (b) 1 (c) l
c
Let b = 84.1 + -84. What is the smallest value in 1, -0.3, b, 7?
-0.3
Let s = 0.17 + -10.17. Let i = s - -6. What is the smallest value in i, -0.4, 0.5?
i
Let l = 34 + -135/4. What is the fourth biggest value in l, 19, 0.5, -2?
-2
Let n = 0.08 + -5.08. Let b = 2 + n. What is the third biggest value in 4, -1, b?
b
Let p(z) = -z + 12. Let n be p(7). Which is the smallest value? (a) -1 (b) n (c) -0.2
a
Let v(m) = 9*m - 22. Let p be v(2). What is the smallest value in -0.7, p, -1?
p
Let d(q) = q**3 + 3*q**2 + q + 4. Let s be d(-6). Let p be 4/s*1*-5. Which is the biggest value? (a) -1 (b) -0.2 (c) p
c
Let u = 23.6 - 27. Let p = 1.4 + u. Let t = -4 - -14/3. What is the third biggest value in t, -5, p?
-5
Let j = -4 + 4.1. Let a = 0.1 - j. Let u = 4 - a. What is the biggest value in 2/5, 5, u?
5
Let u = -18 - -20. Let h be u/10 - (-57)/15. Which is the second biggest value? (a) 3/2 (b) h (c) 0.2
a
Let h = 3.55 - -2.69. Let y = h + -6. Let l = -0.04 + y. What is the third biggest value in l, 4, 1/9?
1/9
Let h = -0.57 + 0.27. Which is the third smallest value? (a) h (b) 5/7 (c) 3/2
c
Let f = 1019/2496 - 13/64. Let b = -196/195 + f. What is the third biggest value in -4, b, -3?
-4
Let m be -4 + 4 - 1 - -3. Let v = 7 + -3. Which is the smallest value? (a) m (b) v (c) -2/3
c
Let k = -144 + 143. What is the fourth smallest value in 2/3, k, 1/5, -0.3?
2/3
Let j be 1/((-3)/(-4)) - 1. Let r = 1135 + -5699/5. Let i = 62/15 + r. What is the biggest value in j, 3, i?
3
Let d = 5.5 + 1.5. Let h = -3 + d. Let j = h + -4.4.
|
{
"pile_set_name": "DM Mathematics"
}
|
ve a*y - f + 21 - n = 0, 10 = -4*y - 3*f for y.
-4
Let p(l) = 9*l - 79. Let s be p(7). Let z(v) = 4*v + 89. Let d be z(s). Solve i + 15 = -2*i - m, 4*m = -5*i - d for i.
-5
Let a = 18973 + -18972. Solve -2*r - 6 = 10*y - 6*y, 0 = -y + a for r.
-5
Suppose -864 = 11*f - 919. Solve u = f*k - 17, -2*k + 1 + 5 = 0 for u.
-2
Suppose 0 = 4*u - 5*r - 25, 6*r + 20 = 2*u + 2*r. Let m = 12 - 8. Suppose -m*q = 2*q - u*q. Solve -2*f + 4*k - k - 6 = q, -4*f - 2*k = -4 for f.
0
Suppose 2*p + 3*b - 29 = 0, 3*b + 9 = -p + 31. Let c = -4 + 6. Solve -2 = 5*x - p, -c = -m - 5*x for m.
-3
Suppose 0 = -2*y, 5*a + 500 = 3*a + 4*y. Let g = a + 253. Solve -2*t - g*l = 10, -2*t - 25 = 3*t + 3*l for t.
-5
Let m be (-3)/(-1)*40/6. Let w be (14 + -19)*-3*24/15. Let v = w - m. Solve 21 - 5 = -v*f, 2*r = -2*f - 6 for r.
1
Suppose 4 = -2*d - 5*l, -139*d + 135*d + 44 = -3*l. Let z = -7 - -11. Let r be 2/(-9) - 94/(-18). Solve 3*m - n - z = -r*n, -d = 5*m + 3*n for m.
-4
Let j(b) = -b**3 - 8*b**2 + 14*b + 48. Let q be j(-9). Let v be (-65)/26*(-8)/10. Suppose -p = p - v. Solve -20 = -f - 4*m, 5*f - p = q*m - 16 for f.
0
Let u(g) = 48*g + 1010. Let x be u(-21). Solve 4*c = -11*p + 8*p - 22, -4*c - 20 = x*p for p.
-2
Suppose -59 = -5*d - g, 2*d + 8*g - 38 = 4*g. Let y be 6*(-9)/81 - d/(-3). Solve u = -o + 3 - 0, o + 2*u = y for o.
3
Let r be (-2 - -3*1/(-6))*-2. Suppose -3*b = -r*d - 0*b + 405, 287 = 4*d + 5*b. Let w = 81 - d. Solve -10 - 3 = -2*c + 3*f, -w*f - 15 = 0 for c.
-1
Let o be -2 + (2 + -1)*5. Suppose -15*d + 9030 = -0*d. Let k = 607 - d. Solve -o*f + 4*f - 8 = k*b, f - 2*b = 5 for f.
3
Let a(g) = 60*g**2 + 663*g + 35. Let d be a(-11). Solve 2*b + 12 = -0*n - d*n, 5*b + 29 = -4*n for b.
-5
Let i(j) be the second derivative of -j**4/12 - 23*j**3/6 - 19*j**2/2 - 44*j. Let z be i(-22). Solve 4*h + z*r = 0, -h - r = -2*h for h.
0
Suppose -31*c + 12 = 4*g - 27*c, 5*c = 2*g + 1. Solve 0 = 2*k + t + 2, 4*k - 5 = 3*k - g*t for k.
-3
Let c = 13 + -9. Suppose 4*y - l = 4*l + 17, -y + 5*l = 7. Let q(i) = i**2 - 6*i - 12. Let o be q(y). Solve 0 = o*k - 2*x + 4*x - 2, -4 = -4*k - c*x for k.
0
Suppose z - 2 = 2. Let j = -33740 + 33742. Solve 0 = -2*h + b - 2, z*b + 5 = -j*h - 3*h for h.
-1
Suppose -r + n = 13, 3*r + 5*n - 2*n + 69 = 0. Let x be 6 + -1 - (r - -19). Solve p + 1 + 0 = -l, 0 = 3*l + x*p + 3 for l.
-1
Suppose -4*c - 418 = -942. Let k be c + -131 - (1 - 0)/(-1). Solve -3*f - 2*f + 4*t = -1, -2*t = -3*f - k for f.
-3
Let v = -2 - 2. Let n be v/(-14) + (-4)/14. Suppose -14 = -2*i, -877*j + 875*j = -3*i + 13. Solve 0 = d, j*d + n - 6 = 2*b for b.
-3
Suppose -b + 5*b - 12 = 0. Let l be 4 + -172 + (1 - (-15)/(-3)). Let m = l - -172. Solve -3*s + 15 = b*i, m*s - 4*s + 12 = 0 for i.
2
Let o = -2777 - -2781. Solve -3*x = -x + o*k - 6, 0 = 3*k - 3 for x.
1
Let r be ((-1)/2 + (-40)/(-48))/(1/54). Solve 2*b = i + 4, 19*b = i + r*b for i.
4
Let n = -5417 + 5457. Solve 5*g - n = 5*x, 2*x + 30 - 2 = 4*g for g.
6
Let n = -3 - -21. Suppose 8 - 26 = -n*k. Solve -2*y = 4*s + 6, 3*y = s - k + 13 for y.
3
Let q = -37 + 52. Suppose 6*p - 7*p = 3*d - q, 5*p - 31 = -4*d. Solve -2*w + p*h = h + 12, 14 = -4*w - h for w.
-4
Let j(v) = 3*v**2 + 6*v - 9. Let u be j(2). Suppose -a + 11 = 4*t, -a = -u*t + 13*t + 1. Solve 2*w - 3*q = -20, -2*q + 8 = -a*w - 3*q for w.
-4
Let t(i) = -i - 3. Let o be ((-19)/(-38))/((-2)/24). Let r be t(o). Solve r*n + 17 = 2*f - 5, 5*f - 17 = -2*n for n.
-4
Suppose -7*g - 3 = -8*g, 0 = -3*v - 5*g + 33. Solve 2*j + v = -4*o, 5*o + 3*j = 1 - 7 for o.
-3
Suppose 208 + 16 = 112*k. Solve 3*w = n - 0 - k, 2*w - n + 1 = 0 for w.
-1
Let b = -163 - -187. Suppose -6*o + 0 + b = 0. Solve 2*i + 8 = -3*h + i, -5*h = -o*i - 15 for h.
-1
Suppose -5 = 3*o - 11. Suppose 51*d = -15*d + 156 + 108. Solve -o*w - 26 = 4*z + 3*w, d*z - 2*w = -12 for z.
-4
Let t be -1 + (-6)/(-6) + 4. Suppose -a = -2*c - 5, 0 = t*a - 0*a - 2*c - 14.
|
{
"pile_set_name": "DM Mathematics"
}
|
/210 - 7*q**6/90 - 2*q**5/5 + 37*q**3/6 + 4*q**2 + 10. Let s(a) be the first derivative of x(a). Solve s(r) = 0.
-4, -3, 0
Let r(l) be the second derivative of 2*l**6/45 + 2*l**5/9 - 65*l**4/27 + 160*l**3/27 - 56*l**2/9 + 2*l + 324. Let r(f) = 0. Calculate f.
-7, 2/3, 1, 2
Suppose 16*x = 629*x + 354*x - 2901. Factor 3/5*q**5 + 0 - 21/5*q**2 + 27/5*q**3 - x*q**4 + 6/5*q.
3*q*(q - 2)*(q - 1)**3/5
Let q(v) be the third derivative of v**6/50 + 43*v**5/150 + 23*v**4/30 - 19*v**3/3 + 2772*v**2. Suppose q(y) = 0. What is y?
-5, -19/6, 1
Let b(x) = x**2 + 1. Let m(d) = 9*d**2 - 3936*d + 1936519. Let j(u) = 14*b(u) - 2*m(u). Determine c so that j(c) = 0.
984
Let z(m) = 2*m**2 - 28*m + 82. Let t be z(4). Let i(b) be the first derivative of 10 + 0*b + 2/39*b**3 + 4/13*b**t. Factor i(o).
2*o*(o + 4)/13
Let n(o) be the third derivative of -18*o**4 + 8*o**2 - 56/3*o**3 + 0*o + 2/35*o**7 - 4/15*o**6 + 1 - 5*o**5. Let n(a) = 0. What is a?
-2, -1/3, 7
Let r(u) be the third derivative of -u**7/210 - 89*u**6/120 - 1739*u**5/60 + 11045*u**4/24 + 2*u**2 + 435*u. Determine k, given that r(k) = 0.
-47, 0, 5
Let n be (-12)/(-10)*400/15. Let j = n + -28. Factor -3*m**j + 24*m**3 - 30*m**3 - 6*m**4 - 3*m**5.
-3*m**3*(m + 1)*(m + 2)
Let h(s) = 19*s - 5. Let y be h(7). Suppose 8*k - 16*k + y = 0. Factor -4*z**2 + 14*z + 18*z - k - 13*z**2 + 5*z**2.
-4*(z - 2)*(3*z - 2)
Let q be 0 + (126/(-26) - 46/299). Let m(x) = -24*x**3 - 42*x**2 - 26*x - 2. Let p(g) = 23*g**3 + 42*g**2 + 27*g + 3. Let r(c) = q*m(c) - 6*p(c). Factor r(i).
-2*(i + 1)*(3*i + 2)**2
Find o, given that -1183 + 2889 - 902 + 732*o + 4*o**2 + 76*o = 0.
-201, -1
Suppose -75*f = 206*f + 137*f + 112*f. Find p, given that 2/13*p**3 - 18/13*p**2 + f + 16/13*p = 0.
0, 1, 8
Let i(c) = -2*c**3 + 4*c**2 + 2*c - 4. Let h = -2 + 10. Suppose -9*m - h = -7*m. Let q(w) = w**3 - 4*w**2 - w + 4. Let l(r) = m*i(r) - 6*q(r). Factor l(n).
2*(n - 1)*(n + 1)*(n + 4)
Let o = 2/1817 + 1813/3634. Let s(c) be the second derivative of 0 - 1/4*c**5 + 5/6*c**3 + 0*c**2 + o*c**6 + 4*c - 5/4*c**4. Factor s(x).
5*x*(x - 1)*(x + 1)*(3*x - 1)
Suppose r + y + 2 = 0, -19*r + 17*r + 3*y + 26 = 0. Let b(c) be the second derivative of 1/2*c**3 - 1/48*c**4 + 0 + r*c - 9/2*c**2. Factor b(s).
-(s - 6)**2/4
Let u(m) = 5*m + 104. Let n be u(-18). Find l, given that -9 + 50*l - 5*l**2 - 62 + 40 - n = 0.
1, 9
Let w(k) be the third derivative of -147*k**5/20 + 287*k**4 - 13448*k**3/3 + 8997*k**2. Factor w(s).
-(21*s - 164)**2
Let t(h) be the second derivative of 8/35*h**5 + 12/7*h**2 + 92/21*h**4 - 40*h - 95/21*h**3 + 1. Factor t(c).
2*(c + 12)*(4*c - 1)**2/7
Suppose -5*o = z - 2*z + 59, 4*o = -z + 14. Suppose 20*r - 34 = -z. Suppose 1/9*k**3 + 0*k - 2/9*k**2 + r = 0. Calculate k.
0, 2
Suppose 4*m + 20 = 2*a - a, 0 = 4*a - 3*m - 80. Let q be 3 + (-65)/25 - (-32)/a. Factor -16/3*j**q - 2*j + 0 - 4*j**3 + 2/3*j**5 + 0*j**4.
2*j*(j - 3)*(j + 1)**3/3
Let l be 201/315 - (-1077)/(-16155). Solve -74/7*y**3 + 24/7*y**4 + l*y**2 + 0 + 6/7*y = 0 for y.
-1/4, 0, 1/3, 3
Solve -17/3*i**2 + 22/3 - 185/3*i = 0.
-11, 2/17
Find c such that -c**2 - 36691*c - 450 + 73389*c - 36793*c = 0.
-90, -5
Find d such that 5*d**5 + 69*d - 8*d**4 + 19*d**2 + 5*d**3 - 2*d**5 - 29*d**3 + 11*d**2 + 30 - 4*d**4 = 0.
-1, 2, 5
Let i(f) be the second derivative of f**6/140 + 89*f**5/140 - 45*f**4/56 - 85*f**2 + 9*f - 5. Let a(z) be the first derivative of i(z). Factor a(s).
3*s*(s + 45)*(2*s - 1)/7
Let t = -178259/20 + 8913. Let w(k) be the first derivative of -3/8*k**4 + 11 - 3/2*k**2 + k + 13/12*k**3 + t*k**5. Factor w(h).
(h - 2)**2*(h - 1)**2/4
Let w(d) be the first derivative of 22*d**5/45 + 125*d**4/18 + 286*d**3/9 + 415*d**2/9 + 200*d/9 + 1611. Suppose w(s) = 0. Calculate s.
-5, -1, -4/11
Let u(c) = 19*c**2 - 1076*c + 1105. Let m(z) = 22*z**2 - 1074*z + 1108. Let g(s) = -6*m(s) + 7*u(s). Suppose g(j) = 0. What is j?
1, 1087
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) -1/9 (c) -1/3 (d) f
a
Let o = -186 + 181. Which is the third biggest value? (a) 17 (b) o (c) 0.29
b
Suppose -80*s = -75*s + 70. Let d be (-2)/5*(9 + s). Let i = 2 + -5. What is the second biggest value in i, 4, d, 0.3?
d
Let w = -408.1 - -411. Let o = 95.9 + -88. Let u = w - o. Which is the third biggest value? (a) -0.3 (b) u (c) 0
b
Let h = -204645 - -204644.8. Let z(k) = -4*k**3 - 1. Let m be z(1). What is the second smallest value in m, h, -53?
m
Let d = -0.35 + 2.35. Let b = -1054 - -13704/13. What is the biggest value in 1/4, 5, d, b?
5
Let j = -2.6 + 4. Let z be 1701/252*8/9. Which is the fourth biggest value? (a) 1 (b) 5 (c) z (d) j
a
Let g(l) = 4*l - 19. Let v be g(28). Suppose -v*z - 376 = -101*z. What is the fourth biggest value in -5, 3, z, 4?
-5
Let r = 1/148 - 449/740. Suppose -2*y = -3*b - 8, -47*y + 4*b + 13 = -42*y. What is the biggest value in y, r, 4, -0.1?
4
Let h = 0 - -3. Let x = -6749 + 6751. What is the second smallest value in h, x, -1, 2/35?
2/35
Let d be -2*(45/10 - 2). Let n be ((-1)/(-3 + 4))/((-10)/4). Let x = -19 - -18.5. What is the second smallest value in n, x, 4/7, d?
x
Let t = 916 + -418. Let y = -496 + t. What is the fourth smallest value in 3, -3, -0.1, y?
3
Let w be 1719/(-345) + (-452)/25990. Let k be (-1 - -1) + 6/7. Let p = 3 - -1. Which is the smallest value? (a) k (b) p (c) 2 (d) w
d
Let m be 19*(-8 + -5 + 10). Let t = -53 - m. Let v = 24 - 11. Which is the smallest value? (a) v (b) 0.1 (c) t
b
Let m be 1005/(-10)*(9 + 0 - 15). What is the third smallest value in -2, m, -3?
m
Let a = 11 - 6. Let x = 0.3 + 0.1. Let q = -343 - -343. What is the second smallest value in q, x, a?
x
Let t = -20 - -104. Let c be (-2*3)/((-9)/9). Let r be (0 - (-8)/t)/(c/9). What is the third smallest value in r, -2/11, 3/5, -0.1?
r
Let j = 38249/15 - 2550. Which is the third smallest value? (a) 0.5 (b) -3 (c) -12 (d) j
d
Let g = 122 + -122.118. Let o = -0.178 - g. Let p = 2202/11 - 200. What is the third biggest value in o, p, 5?
o
Let q be (-86)/(-8) + 28 + -39. Let h = -0.1 - -0.5. Let o(i) = -2*i - 25. Let u be o(-15). Which is the second biggest value? (a) h (b) u (c) q
a
Suppose 5*y - 6*y + 5 = 0. Let l = -2/39 + 121/78. Let n = -4807.2 - -4807. Which is the third biggest value? (a) -4 (b) l (c) n (d) y
c
Let r = -0.159 + 61.159. Let h = -56 + r. Let t be (-6)/8*(-4)/8. Which is the biggest value? (a) h (b) -1 (c) t
a
Let q = -0.06 - -0.13. Let f = 0.029 + -3.129. Let z = f - -3.1. What is the third biggest value in 1/2, z, -0.3, q?
z
Let f = 4253 - 4134. Which is the second biggest value? (a) 0.1 (b) -4 (c) f
a
Let q = 0.04419 + 0.15581. Which is the smallest value? (a) -10 (b) 1 (c) q (d) 3 (e) 1/10
a
Let o be ((-5)/(-45))/(123/(-369)). Which is the third smallest value? (a) 16 (b) o (c) 583
c
Let f = 15.7 - 2.7. Let v = -10 + f. Suppose 153*k = 145*k - 16. Which is the biggest value? (a) k (b) v (c) 2/3
b
Let c = -890 + 890.14. What is the second biggest value in 16, -2/7, c, -2/9?
c
Let o = 6191 + -6182. Which is the fifth biggest value? (a) -3/4 (b) o (c) 0.5 (d) -5 (e) -0.23
d
Let u = -356.6 - -432.6. What is the second smallest value in -4, -1, u?
-1
Let q = -37 - -54. Let i = -148.6 - -148.1. What is the second smallest value in i, -0.3, q?
-0.3
Let a = -51.702 + 121.585. Let d = a - -0.117. What is the second smallest value in -3, d, 0?
0
Let a = -50 + 50.4. Let d = -0.1 + a. Let k = -20.5 - -20. What is the second smallest value in d, -2/5, -4, k?
k
Let n = -1.37645 + 1.45645. Let o = -563/420 + 1/140. What is the second biggest value in 1/2, o, n?
n
Let h = 1.1 - 0.3. Let z = 1 - h. Let t = -39493 + 39492.9. Which is the third biggest value? (a) z (b) t (c) -4 (d) -1
d
Let h = -2 - 3. Let y = 42840/13 - 85719/26. What is the third biggest value in 0.1, y, h, 1/31?
y
Suppose 4*v - 2*q - 24 = 8, -3*v - 3 = 3*q. Which is the third biggest value? (a) -10 (b) -3/5 (c) v (d) -5 (e) 0
b
Let v = -1 - -1.47. Let y = -0.459502 - -0.059502. What is the biggest value in v, y, 0?
v
Let a = -13/8 - -3/2. Let n = 14.89 + -0.89. Let i = -22 + n. What is the third biggest value in -1, i, a?
i
Let t = 5.24 - -59.56. Let n = t + -65. Let u = -0.045 - -1.045. Which is the second biggest value? (a) u (b) n (c) 3
a
Let w be (2 + 306/(-248))*2. Let m = w - 1/31. Let o = 12.842 + -13.142. Which is the second smallest value? (a) o (b) m (c) 5
b
Let f = 84 - 76.7. Let b = -0.15 - 0.15
|
{
"pile_set_name": "DM Mathematics"
}
|
c) -2 (d) -0.4 (e) -360
b
Which is the closest to 1/3? (a) 293 (b) 2/3 (c) -7405 (d) -5
b
Which is the nearest to -2/49? (a) 5/668 (b) 2/5 (c) -514
a
What is the nearest to 4.5 in 5, 582, 10?
5
What is the nearest to -1 in 2052682, 1, 2?
1
Which is the nearest to 2/49? (a) -9/4 (b) -172 (c) 0.2
c
Which is the closest to 1.814? (a) 4 (b) 29 (c) 13
a
What is the nearest to -15.315 in -1, -3, 7?
-3
What is the nearest to -88/21 in 0.3, 6118, -1?
-1
Which is the nearest to 0? (a) 356 (b) 9 (c) 0.2 (d) 0.037
d
Which is the closest to -0.029? (a) -0.3 (b) -1 (c) -3 (d) -2639
a
What is the nearest to 0.1 in -0.2, -787, -5, 2143, -1?
-0.2
What is the nearest to -2 in 17, 4/5, -1, 10318, 1/4, 3?
-1
Which is the closest to 0.2? (a) 0.04 (b) 3 (c) -5 (d) 0.1028 (e) -21
d
Which is the closest to -5? (a) 5 (b) -832/5 (c) -34 (d) 3
d
Which is the closest to 1? (a) 0.21 (b) 4 (c) 354.39
a
What is the nearest to -0.3 in 2, 383, -38, -5, -1/4, 1/3?
-1/4
Which is the nearest to 0? (a) 6067 (b) 0.4 (c) -4 (d) -0.23 (e) -1/12 (f) 0.2
e
Which is the closest to -1/4? (a) -3 (b) 1/3 (c) 993 (d) -5504
b
What is the closest to 2.12 in 14, -1/4, -1/6, 33.5?
-1/6
Which is the nearest to 385.853? (a) 5 (b) -0.2 (c) 6
c
Which is the nearest to -8? (a) 1 (b) 12/13 (c) -0.2 (d) 21.754 (e) -1/4
e
What is the nearest to -2404 in 10, 1/2, 1, -3/7, -2/9, 6?
-3/7
Which is the closest to -0.43? (a) -1/21 (b) -0.7 (c) 381 (d) 4
b
Which is the closest to 3? (a) -2/3 (b) -3761 (c) 2/9 (d) 1/4
d
What is the closest to -21/4 in 565, 5, -1, 18/5, -4?
-4
Which is the closest to -9? (a) -1/9 (b) -1325 (c) -1/10 (d) 0.3 (e) -1/8
e
What is the closest to -3238/27 in 4/3, -0.1, -4, 2, -1?
-4
What is the nearest to -1/2 in -0.1, 0.33, -2/11, -224?
-2/11
Which is the nearest to -4? (a) -11 (b) 0.05 (c) 1.8 (d) -63 (e) 0.2
b
Which is the nearest to -1? (a) 1.4 (b) 0 (c) 3/13 (d) 334
b
Which is the closest to -37? (a) 4 (b) -0.1 (c) -2/15 (d) -3/11 (e) -5/22
d
Which is the nearest to -0.6? (a) -0.3 (b) -3410/13 (c) -5 (d) 2/3 (e) -4
a
Which is the closest to 1.2? (a) 2 (b) -4/5 (c) 12 (d) -4064
a
Which is the nearest to 0? (a) 1.2 (b) -2/3 (c) 3920 (d) 4
b
What is the closest to 0.2 in -8382, 0.2, -0.8, -1/61, 2/11?
0.2
What is the closest to 0.1 in 2/3, 16586213, 3?
2/3
What is the nearest to 0 in 44.9, 9/35, -1/8?
-1/8
Which is the nearest to 2? (a) 3 (b) -427 (c) -2/13 (d) -2216 (e) 2
e
What is the closest to 20 in -99, 0.2, -16, -11?
0.2
What is the nearest to -3/5 in -0.1, 285/503, -1/6?
-1/6
Which is the closest to -5? (a) -1 (b) -543 (c) 3 (d) -1/6 (e) 2 (f) 68
a
What is the nearest to 0 in 1/50, 13, -0.5, -2/3, 1, 8/45?
1/50
Which is the closest to 2? (a) 5 (b) -10 (c) -0.1 (d) -10868
c
Which is the closest to 1? (a) -3 (b) -687 (c) 2/11 (d) 20 (e) 21
c
What is the closest to 1 in 4179.7, 0.5, 101, -2/13?
0.5
What is the nearest to -2 in 40, -12, 613, 27?
-12
What is the nearest to -0.03 in 2/9, 14/9, 0.3, 392?
2/9
What is the nearest to -3 in -2/11, -0.04, 42, 3.4, 2/11?
-2/11
Which is the nearest to -2? (a) -13/73 (b) 18 (c) -2/9 (d) -1.5
d
What is the closest to -1/3 in -80281/5, 1/6, 4, -1, -0.8?
-0.8
What is the nearest to -2/17 in 0.06, 0.4, -0.007, -5/8?
-0.007
Which is the nearest to -6? (a) -5 (b) -0.0682 (c) -1/9 (d) -0.3 (e) 0.2
a
What is the nearest to 0.33 in 0, -2/7, 5, -4405, 1/3?
1/3
Which is the closest to -2? (a) -11 (b) 25 (c) -86.32
a
What is the nearest to -6225 in 0.03, 0.3, -151/2, 3?
-151/2
Which is the nearest to 45? (a) -17 (b) -0.43 (c) 1 (d) 3 (e) -3/2
d
Which is the closest to -10? (a) -2/13 (b) 3/13 (c) -16 (d) -20.2 (e) 5
c
Which is the nearest to -26? (a) -0.05 (b) 1 (c) -16
c
What is the nearest to 1 in 3.8, 0.0134
|
{
"pile_set_name": "DM Mathematics"
}
|
the c'th term of -13, 23, 107, 239, 419, 647, 923?
24*c**2 - 36*c - 1
What is the p'th term of 30, 110, 250, 450, 710?
30*p**2 - 10*p + 10
What is the c'th term of 8899, 8900, 8901, 8902?
c + 8898
What is the x'th term of 12, 52, 120, 216, 340, 492?
14*x**2 - 2*x
What is the k'th term of 53, 89, 99, 71, -7, -147?
-2*k**3 - k**2 + 53*k + 3
What is the u'th term of -280, -300, -320, -340, -360?
-20*u - 260
What is the s'th term of -18, -29, -40, -51, -62, -73?
-11*s - 7
What is the k'th term of -2, -20, -50, -98, -170, -272?
-k**3 - 11*k + 10
What is the n'th term of -508, -1000, -1492?
-492*n - 16
What is the y'th term of 811, 3220, 7231, 12838, 20035, 28816, 39175?
-y**3 + 807*y**2 - 5*y + 10
What is the x'th term of 40, 82, 146, 226, 316, 410, 502, 586?
-x**3 + 17*x**2 - 2*x + 26
What is the g'th term of -290, -583, -888, -1211, -1558, -1935, -2348?
-g**3 - 286*g - 3
What is the v'th term of 69, 144, 219, 294, 369?
75*v - 6
What is the g'th term of -337, -338, -339, -340, -341, -342?
-g - 336
What is the l'th term of -126, -104, -82, -60, -38?
22*l - 148
What is the p'th term of 26, 30, 26, 8, -30?
-p**3 + 2*p**2 + 5*p + 20
What is the o'th term of 5111, 10219, 15327?
5108*o + 3
What is the z'th term of -6, -16, -14, 6, 50, 124, 234, 386?
z**3 - 17*z + 10
What is the x'th term of 131, 139, 147, 155, 163?
8*x + 123
What is the s'th term of -13, -53, -117, -205, -317?
-12*s**2 - 4*s + 3
What is the o'th term of -72, -74, -76, -78?
-2*o - 70
What is the a'th term of -206, -171, -112, -29?
12*a**2 - a - 217
What is the v'th term of 1306, 1303, 1300, 1297?
-3*v + 1309
What is the i'th term of 192, 768, 1728, 3072?
192*i**2
What is the d'th term of -4, -28, -70, -130, -208?
-9*d**2 + 3*d + 2
What is the a'th term of -18, -64, -140, -246, -382, -548, -744?
-15*a**2 - a - 2
What is the u'th term of -764, -1529, -2296, -3065, -3836, -4609?
-u**2 - 762*u - 1
What is the z'th term of 694, 688, 682, 676?
-6*z + 700
What is the s'th term of -8, -31, -60, -89, -112, -123, -116, -85?
s**3 - 9*s**2 - 3*s + 3
What is the k'th term of -9, -14, -19, -24, -29?
-5*k - 4
What is the b'th term of -374, -375, -376, -377, -378, -379?
-b - 373
What is the y'th term of 310, 339, 366, 391, 414, 435, 454?
-y**2 + 32*y + 279
What is the q'th term of -113, -111, -109, -107, -105?
2*q - 115
What is the s'th term of -9, -38, -91, -168?
-12*s**2 + 7*s - 4
What is the a'th term of -8, -6, 16, 52, 96?
-a**3 + 16*a**2 - 39*a + 16
What is the d'th term of -7, 10, 29, 44, 49, 38?
-d**3 + 7*d**2 + 3*d - 16
What is the i'th term of 10, 44, 136, 316, 614, 1060, 1684, 2516?
5*i**3 - i**2 + 2*i + 4
What is the z'th term of -224, -454, -682, -902, -1108?
z**3 - 5*z**2 - 222*z + 2
What is the b'th term of 919, 949, 981, 1015, 1051, 1089, 1129?
b**2 + 27*b + 891
What is the h'th term of -1, 6, 13, 20, 27, 34?
7*h - 8
What is the p'th term of 5158, 5157, 5156?
-p + 5159
What is the b'th term of -215, -190, -149, -86, 5, 130?
b**3 + 2*b**2 + 12*b - 230
What is the m'th term of -191, -316, -441, -566, -691?
-125*m - 66
What is the f'th term of 148, 140, 118, 76, 8, -92?
-f**3 - f**2 + 2*f + 148
What is the b'th term of -93, -175, -231, -249, -217, -123?
2*b**3 + b**2 - 99*b + 3
What is the s'th term of 1364, 1383, 1404, 1427, 1452, 1479, 1508?
s**2 + 16*s + 1347
What is the y'th term of -27, -130, -301, -540, -847, -1222, -1665?
-34*y**2 - y + 8
What is the c'th term of 68, 71, 84, 113, 164, 243, 356, 509?
c**3 - c**2 - c + 69
What is the z'th term of -41, -85, -129, -173, -217, -261?
-44*z + 3
What is the c'th term of -241, -493, -759, -1045, -1357, -1701, -2083?
-c**3 - c**2 - 242*c + 3
What is the y'th term of 186, 132, -18, -312, -798, -1524, -2538?
-8*y**3 + 2*y + 192
What is the w'th term of 311, 624, 937?
313*w - 2
What is the c'th term of 473, 473, 475, 479, 485?
c**2 - 3*c + 475
What is the d'th term of -10, -28, -58, -100, -154?
-6*d**2 - 4
What is the b'th term of 13, 11, 5, -5, -19, -37, -59?
-2*b**2 + 4*b + 11
What is the f'th term of 4, -3, -12, -23, -36, -51, -68?
-f**2 - 4*f + 9
What is the k'th term of 26, 48, 74, 110, 162, 236, 338, 474?
k**3 - 4*k**2 + 27*k + 2
What is the j'th term of -2650, -2649, -2648, -2647, -2646?
j - 2651
What is the j't
|
{
"pile_set_name": "DM Mathematics"
}
|
*y(m).
-10*m**3
Let i(u) = 154*u + 4. Let a be i(2). Let k(w) = 6*w**3 - 301 + 11*w**2 + a - 8*w**3. Let j(l) = l**2 + 1. What is -22*j(n) + 2*k(n)?
-4*n**3
Let z(l) = -384*l**3 + 13*l**2 - 88*l. Let v(c) = 189*c**3 - 6*c**2 + 46*c. Determine -11*v(o) - 5*z(o).
-159*o**3 + o**2 - 66*o
Let u(l) = 21*l + 21. Let n(g) be the third derivative of 5*g**4/24 + 5*g**3/6 - g**2 + 12*g + 15. Calculate -9*n(c) + 2*u(c).
-3*c - 3
Let v(f) = -14905*f + 29806*f - 14900*f. Let a(n) = 9*n**2 + 7*n. Give 3*a(m) - 21*v(m).
27*m**2
Let l(k) = 5*k + 19. Let z(i) be the second derivative of 2*i**3/3 + 10*i**2 + 4353*i. Determine 3*l(f) - 4*z(f).
-f - 23
Let m(v) = -v + 1. Let o be (-4 + 2)/(322/1449). Let x(j) = 4*j - 5. Determine o*m(u) - 2*x(u).
u + 1
Let s be 0 - -4*2/4. Let v(i) = -434 + i**2 - s*i**2 + 2*i + 214 + 224. Let h(o) = -6*o**2 + 11*o + 19. Give -2*h(w) + 11*v(w).
w**2 + 6
Suppose -v - 3*w = -26, -3*v + 2*w + 15 = -30. Suppose 5*s = v + 108. Let u(x) = 28*x + s*x - 54*x. Let d(j) = j - 1. What is d(l) + 3*u(l)?
-2*l - 1
Let k(x) = 16*x**2 + 11*x + 3. Let p(q) = -5*q**2 - 4*q - 1. Suppose 3*v - 23 = -5*s, -7*v + 6*v = -5*s + 19. Calculate s*k(b) + 11*p(b).
9*b**2 + 1
Let z(u) be the first derivative of -u**4/24 + 10*u**2 - 137. Let h(w) be the second derivative of z(w). Let t(b) = 8*b - 2. Determine -5*h(x) - t(x).
-3*x + 2
Let f(i) = i + 9*i**2 - i + 61 + 61 - 127 + 3*i. Let u(l) = l**2 - l + 1. Calculate f(q) + 4*u(q).
13*q**2 - q - 1
Let c be (3 - (3 + -5)) + -1 + 1. Let r(b) = -c + 0*b - 5*b + 5 + 3 + 0. Let t(v) = -v + 1. Give r(k) - t(k).
-4*k + 2
Let c(u) = u**3 + 5*u**2 + 4. Let n(a) = 13*a**3 + 20*a**2 + 326. Let x(q) = -3*q**3 - 5*q**2 - 73. Let s(b) = -2*n(b) - 9*x(b). Determine 5*c(w) - 4*s(w).
w**3 + 5*w**2
Let j(g) be the third derivative of -5*g**4/12 - 5*g**3/6 + g**2. Let c(p) = 717*p + 9. Let d(v) = -538*v - 7. Let x(o) = -3*c(o) - 4*d(o). Give j(u) + 5*x(u).
-5*u
Let t(k) = 76*k**2 + 5*k - 5. Let b(d) = -151*d**2 - 11*d + 7. Give 4*b(z) + 9*t(z).
80*z**2 + z - 17
Let u(l) = -66*l**3 + 14*l**2 + 1422*l - 7. Let q(h) = 47*h**3 - 10*h**2 - 948*h + 5. Determine -7*q(y) - 5*u(y).
y**3 - 474*y
Let g(p) = 164*p**3 + 10*p**2 - 4*p. Let h(v) = v**3 - 2*v**2 + v. Give g(y) + 6*h(y).
170*y**3 - 2*y**2 + 2*y
Let r(s) be the second derivative of -s**2 + 53*s + 0 - 1/2*s**3. Let d(i) = 2*i + 3. What is 5*d(q) + 4*r(q)?
-2*q + 7
Let y(r) = -7*r + 2. Let g(i) = -938*i + 8. Give g(b) - 3*y(b).
-917*b + 2
Let v(g) = -45*g**2 + 16*g. Let l = 542 + -538. Let q(i) = 3*i**2 - 11*i + 7. Let u be q(l). Let p(x) = -9*x**2 + 3*x. Calculate u*p(k) - 2*v(k).
-9*k**2 + k
Let s(z) = 3*z**2 + 9*z + 31. Let p(u) = 8*u**2 + 17*u + 61. What is 2*p(x) - 5*s(x)?
x**2 - 11*x - 33
Let s(i) = -7*i**3 + 3*i**2 - 5*i. Let p = -13128 - -13123. Let u(h) = -10*h**3 + 5*h**2 - 8*h. Give p*u(q) + 8*s(q).
-6*q**3 - q**2
Let o(w) = 3*w**2 - 1. Let t(k) = 3*k**3 + 12*k**2 + 5*k - 8. Calculate -6*o(i) + t(i).
3*i**3 - 6*i**2 + 5*i - 2
Let d(r) = r. Let w(b) = -6*b**3 - 2*b**2 + b - 5. Let x be w(0). Let c(o) = -12*o - 2. What is x*d(l) - c(l)?
7*l + 2
Let n(s) = 5*s + 1. Let k(d) = 1. Let w = -2580 + 2581. Calculate w*k(r) - n(r).
-5*r
Let f(x) = -4*x + 5. Suppose -5*n + 3*n - 18 = 3*k, -22 = 4*k + 2*n. Let c(l) = 16 + 12 - 53 + 8*l + 16. Determine k*c(y) - 7*f(y).
-4*y + 1
Let h = -2 - -5. Let u(j) be the first derivative of -3*j - 58. Let m(i) = i - 5. Determine h*m(x) - 5*u(x).
3*x
Let u(l) = -2*l - 346. Let o(p) = p + 173. Calculate 7*o(r) + 4*u(r).
-r - 173
Let o(f) = -7*f**3 - 9*f**2 + 9. Let x(k) = -75*k**3 + 195*k**3 - 1 + 0 - 119*k**3 + 3*k**
|
{
"pile_set_name": "DM Mathematics"
}
|
-40.00170931
What is 49068713928006 take away -0.5?
49068713928006.5
-0.02921 - -781399.8018
781399.77259
-1233967243 - -8311
-1233958932
What is -6190868 + 694291?
-5496577
What is -14123757.3 minus -129539?
-13994218.3
Put together -76 and 1410605146.
1410605070
Add 61258 and -609447237.
-609385979
What is -7772646 - -16751?
-7755895
What is the difference between -241 and 8.045892295?
249.045892295
What is -25.3 take away 0.03281189592?
-25.33281189592
What is -0.0737 + 6009762705?
6009762704.9263
What is the difference between -0.082 and 2492922263350?
2492922263350.082
Subtract -0.5 from -5206.68717.
-5206.18717
815525.4345+-0.25
815525.1845
Subtract 1361.51391 from 5179.
3817.48609
Put together 97102143052510 and -5.
97102143052505
-8641.7+-183864082
-183872723.7
What is 1.51 take away -4.92918801?
6.43918801
133747148957791 - -0.4
133747148957791.4
6448055909 - -14
6448055923
Calculate -38735 - 37737538.
-37776273
What is the difference between -0.2 and 19509795746474?
19509795746474.2
What is 28101348.23 - 689?
28100659.23
Subtract -76732773466 from 5.
76732773471
What is the distance between 37043352054563 and 3?
37043352054560
What is -1098889864 - -1300.5?
-1098888563.5
What is 0.03 less than -6151220168479?
-6151220168479.03
Sum -1028477473 and 0.25.
-1028477472.75
8503074.906 - -230.9
8503305.806
-5.7537684 - 15311
-15316.7537684
What is 0.1 + -102619083237234?
-102619083237233.9
Calculate 0.80088 - -38.1.
38.90088
Put together 1615080253 and 201.
1615080454
Work out 7.73948402 + 0.01488.
7.75436402
Put together 0.17 and -6395689304180.
-6395689304179.83
Calculate -213037536943 - 1.
-213037536944
What is the difference between -0.25 and -419558.73649?
419558.48649
-42254 + 61117004.6
61074750.6
Subtract -44286620 from 16.
44286636
What is 175.892321 minus 0.0407168?
175.8516042
What is 70689786 - -74214?
70764000
What is 0.3 less than -1259481808.42?
-1259481808.72
What is 1145881782144 + -94?
1145881782050
What is 0.3 minus -2918281049?
2918281049.3
What is -1214169 - -2.94337?
-1214166.05663
Calculate 0.2 - -2132593382917.
2132593382917.2
What is the difference between -0.1185 and -8725416062?
8725416061.8815
-68+-301158437155
-301158437223
What is -5 + -70688516626?
-70688516631
Subtract -9046713450 from -285.
9046713165
-41215 - -5551.50301
-35663.49699
Add -2589157685 and 237.
-2589157448
217531854 + 0.118596
217531854.118596
-575+2.705210879
-572.294789121
What is 0.5032973649122 take away -5?
5.5032973649122
What is 0.05 - -25683512559764?
25683512559764.05
-0.833487715+-0.00722
-0.840707715
What is -0.8 minus 217184.47841?
-217185.27841
Subtract -26.4091 from -3130391.
-3130364.5909
Calculate -1.2137988138 + 1.5.
0.2862011862
Work out -3292824867 - 0.006.
-3292824867.006
What is -3748863997718.5 - 0.18?
-3748863997718.68
What is 12.2750895903 + 0.01?
12.2850895903
708.3657+494704
495412.3657
Add together 2.2 and 1062.0687024.
1064.2687024
Total of -0.5947 and 2520140019.
2520140018.4053
-433752929421+90
-433752929331
Calculate 24977851242.3 + -36.8.
24977851205.5
What is -52801126 minus -77.9597?
-52801048.0403
Work out 0.1 + 13933140013571.
13933140013571.1
What is 29049990125209 - -3?
29049990125212
Subtract -47.63 from -144875.75.
-144828.12
What is the difference between -101146645393 and 25?
101146645418
What is the distance between -175.4 and -2688508.7348?
2688333.3348
Work out 3 + -12204247489.6.
-12204247486.6
Subtract -33 from 3080.2334083.
3113.2334083
Work out -382 + 29054697930.
29054697548
Work out -0.0496 + -411035245.
-411035245.0496
Total of 0.4 and 249154350410.
249154350410.4
What is -6176 + -2.62886197?
-6178.62886197
What is the difference between -2 and 1724551022085?
1724551022087
Sum -948851 and 2796823.
1847972
Add together 913349218 and 2.78.
913349220.78
Calculate -18044858780981 + -31.
-18044858781012
What is -3786.1 - 5884244850?
-5884248636.1
What is the difference between 9.325625 and 0.61125?
8.714375
What is 0.125 plus -6852045452?
-6852045451.875
Calculate -0.0212 + -12.4673142.
-12.4885142
-2.16 - -938065598
938065595.84
Sum -69452909085 and -0.079.
-69452909085.079
Sum -24.699645703 and 0.74.
-23.959645703
Work out -64110421 - -24.75.
-64110396.25
Subtract 65358 from 6682987.6.
6617629.6
Put together -397724 and -17.58612.
-397741.58612
-0.0383 - 1772336314
-1772336314.0383
Put together -580323.37083 and -28.
-580351.37083
Subtract -270 from -6999608457.
-6999608187
What is the difference between -638.1 and 1263118494?
1263119132.1
2449+-21.53866631
2427.46133369
5488998983726 - -0.3
5488
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.4 in decreasing order.
v, -1/4, -0.4
Let d = 5.08 - 5. Let o = 3.92 + d. Let w = -0.3 - -0.1. Put w, o, 0 in descending order.
o, 0, w
Let l = 2 + 0. Let r = 0.305 - 0.505. Sort -1.3, r, l in increasing order.
-1.3, r, l
Let q = -29 + 24. Sort q, -4/9, 2 in decreasing order.
2, -4/9, q
Let v = 18 - 16.4. Let c = v + 0.4. Let q be 2/7 + 45/(-84). Put q, -3, c in decreasing order.
c, q, -3
Let a(r) be the first derivative of -r**4/4 + 2*r**3 - 5*r**2/2 + 4*r + 4. Let p be a(5). Let u = 1 - p. Sort -5, 1, u in decreasing order.
1, u, -5
Let j = 15 + -10. Put j, -2, -3 in decreasing order.
j, -2, -3
Let d be 0/((-9)/3) - 4. Suppose 15 = -4*b + 2*t - 1, 0 = 3*t - 12. Let m be 6/d - b/4. Sort 3, 0, m in decreasing order.
3, 0, m
Let t = -13 - -11. Let o be (1 + t)*(-8 + 3). Sort o, 4, 0 in descending order.
o, 4, 0
Suppose -5*i - 4*s = s - 15, -3*i + 10 = 2*s. Suppose 2 + 1 = 3*z. Suppose -4*x - 3*k + 11 = 0, 0 = -2*x - 4*k + 14 + 4. Put i, z, x in ascending order.
x, z, i
Suppose 0 = 3*p - 3. Let w be p - (0 + 0)/(-1). Suppose t = 6 - w. Put -3, t, 1 in increasing order.
-3, 1, t
Let l be 3/(2 + (-2)/(-4) + -1). Put 8, l, 6 in descending order.
8, 6, l
Let k = 3 - 3.1. Suppose 3*n - 6 = n. Let s be 1/(-2) - -22*5/140. Sort k, n, s in increasing order.
k, s, n
Let i(v) = v**3 + 13*v**2 + 21*v - 6. Let t be i(-11). Sort -3, -4, t in descending order.
t, -3, -4
Let b be (0 + 0)*5/(-15). Let d = 0.21 - 0.11. Sort b, d, -2 in descending order.
d, b, -2
Let t(d) = d**3 + 3*d**2. Let l be t(-3). Let x be -6 + 8 - (0 + -2). Let n be x - 2 - 24/10. Put 5, l, n in ascending order.
n, l, 5
Let q = 16 - 10. Let t be (-2)/(-4)*q/3. Let g(u) = u - 6. Let d be g(4). Sort d, t, -5 in decreasing order.
t, d, -5
Let c = -5 + 5.4. Let d = 0 + c. Let h = d - 0.2. Put -0.5, h, -3 in decreasing order.
h, -0.5, -3
Suppose t = -d + 10, -3*d - 2*d = 2*t - 20. Let l be (4/t)/((-5)/25). Put l, 5, 0 in decreasing order.
5, 0, l
Let c be 2/(-6) - (-5)/(-21). Let q be -2*(-4*14)/(-4). Let h = 55/2 + q. Put c, h, 5/3 in increasing order.
c, h, 5/3
Let a = 0.8 - 1.5. Let r be (-2 - -3) + 2 - 8. Sort r, a, 4.
r, a, 4
Let o(f) = -f + 2. Let p be o(-8). Suppose -3*x + 10 = h, -4*h - p = 3*x + h. Put x, 4, 1 in ascending order.
1, 4, x
Let r be (-10)/(-45) + (-2)/3 - 2. Put -3/8, r, 5, 1/4 in decreasing order.
5, 1/4, -3/8, r
Let y(a) = -3*a + 3. Let g be y(2). Let w be (1 + -11)/(6/g). Sort 1, -3, w in decreasing order.
w, 1, -3
Let g = -2 + 4. Let t be 12 + -5 + 2 + -4. Put g, -5, t in descending order.
t, g, -5
Let x = 241 - 236.04. Let d = -0.04 - x. Sort d, -4, -3 in increasing order.
d, -4, -3
Let f be (-6)/(-9) - 62/(-6). Let n(x) = x - 14. Let h be n(f). Suppose 2*m + 0*m + 2 = 0. Put h, 0, m in increasing order.
h, m, 0
Let q(i) = 5 + 0*i + 8*i**2 - 5*i + 4*i - i**3. Let d be q(8). Sort d, -2, -0.2 in ascending order.
d, -2, -0.2
Suppose 0 = 4*l - 0*l + 24. Put -5, -3, l in increasing order.
l, -5, -3
Suppose 2*a + 11 = 5. Let n be (-9)/42*(-8)/a. Let s = -7/12 - -5/6. Sort s, n, -0.4.
n, -0.4, s
Let b = 14 + -15. Put 0, 2/9, b, -2/17 in increasing order.
b, -2/17, 0, 2/9
Let s = -2.6 + 5.7. Let h = 0.9 + s. Put h, 0.5, 0.4 in increasing order.
0.4, 0.5, h
Let c be 6/(-2)*2/(-6). Let k be c/4 - 18/8. Put 2, -1, k in ascending order.
k, -1, 2
Let o(x) = x**3 - 8*x**2 + x - 6. Let g be o(8). Suppose 4*k = g*q - 28, -k - 3*k - q = 16. Put k, -2, 5 in decreasing order.
5, -2, k
Suppose -x - 20 = -5*m + 9, 4*m - 2*x - 28 = 0. Let k = 0 - m. Let a = -4 + 6. Sort 4, k, a.
k, a, 4
Let s = 34 - 29. Sort 0.4, 4/3, s, 0.3 in descending order.
s, 4/3, 0.4, 0.3
Let g(z) = -z**3 - 2*z**2 + 2*z + 1. Let l be g(-2). Suppose c = 3 + 3. Put l, -4, c in ascending order.
-4, l, c
Suppose 4 = 5*h - 11. Let r = h + -6. Let x be 3/(5/2 - 1). Put x, 0, r in increasing order.
r, 0, x
Suppose q + 2*q = 0. Suppose q = -5*v - 24 + 4. Let s(w) = w**3 + 5*w**2 + 5*w + 1. Let h be s(-4). Put -1, h, v in descending order.
-1, h, v
Let m = 27 + -38. Let l = m - -6. Let r = -172.1 - -172. Sort l, 0.1, r.
l, r, 0.1
Let l = 0.81 + 0.09. Sort -1, l, -2/3 in ascending order.
-1, -2/3, l
Let c(x) = 2*x - 7. Let f be c(4). Let p = 11 - 6. Suppose p*s + 15 = -5. Put s, f, 0.5 in descending order.
f, 0.5,
|
{
"pile_set_name": "DM Mathematics"
}
|
sequence hxx.
3/56
Three letters picked without replacement from klfaf. Give prob of sequence alk.
1/60
Three letters picked without replacement from jlddlb. Give prob of sequence ljd.
1/30
Calculate prob of sequence ysyl when four letters picked without replacement from {s: 11, l: 4, y: 4}.
11/1938
Four letters picked without replacement from {q: 4, v: 1, p: 3}. What is prob of sequence vppq?
1/70
Two letters picked without replacement from {a: 4}. What is prob of sequence aa?
1
Four letters picked without replacement from {s: 12, g: 2, y: 3}. Give prob of sequence gsss.
11/238
What is prob of sequence zjjj when four letters picked without replacement from {j: 9, z: 5}?
15/143
What is prob of sequence tib when three letters picked without replacement from tkktfib?
1/105
Three letters picked without replacement from uuiuuuiliuli. What is prob of sequence iul?
2/55
Two letters picked without replacement from {u: 7, q: 6, j: 2}. What is prob of sequence qj?
2/35
Two letters picked without replacement from {x: 2, z: 2, s: 1, m: 1}. What is prob of sequence zs?
1/15
Four letters picked without replacement from {q: 14, v: 1}. Give prob of sequence qvvq.
0
Two letters picked without replacement from {d: 1, t: 1, w: 1, i: 2}. What is prob of sequence td?
1/20
What is prob of sequence by when two letters picked without replacement from {b: 1, y: 2}?
1/3
Four letters picked without replacement from ttetee. Give prob of sequence tete.
1/10
Calculate prob of sequence rii when three letters picked without replacement from ihiirirrhiir.
1/11
Three letters picked without replacement from auejzuiuzaea. What is prob of sequence jiu?
1/440
What is prob of sequence fwm when three letters picked without replacement from {m: 6, e: 2, f: 1, x: 3, w: 5}?
1/136
Calculate prob of sequence nk when two letters picked without replacement from {n: 6, f: 1, k: 3, i: 2, r: 2}.
9/91
Calculate prob of sequence dd when two letters picked without replacement from ddkmmdmmm.
1/12
What is prob of sequence dr when two letters picked without replacement from rdddr?
3/10
Four letters picked without replacement from {t: 5, j: 3, r: 2, s: 2}. Give prob of sequence srrt.
1/594
Three letters picked without replacement from msmds. What is prob of sequence dss?
1/30
Three letters picked without replacement from oocoooooomo. Give prob of sequence cmo.
1/110
Calculate prob of sequence tttt when four letters picked without replacement from tttttttttt.
1
What is prob of sequence ogp when three letters picked without replacement from {m: 1, p: 1, o: 1, g: 1, q: 1}?
1/60
What is prob of sequence qi when two letters picked without replacement from {q: 3, i: 2}?
3/10
What is prob of sequence bbv when three letters picked without replacement from {b: 5, d: 3, r: 1, t: 3, h: 3, v: 3}?
5/408
Three letters picked without replacement from {k: 2, r: 2, h: 3, d: 7, i: 4}. Give prob of sequence rkk.
1/1224
What is prob of sequence nj when two letters picked without replacement from jnnjnjn?
2/7
What is prob of sequence ddnd when four letters picked without replacement from {k: 4, y: 7, n: 1, d: 8}?
14/4845
What is prob of sequence etq when three letters picked without replacement from {q: 3, t: 1, z: 4, e: 2, y: 1}?
1/165
Four letters picked without replacement from znnnzzzznnznnz. Give prob of sequence zzzn.
35/572
Three letters picked without replacement from xidiitxxmhmdix. Give prob of sequence ddh.
1/1092
Calculate prob of sequence kkrl when four letters picked without replacement from lrarllaaalalklrl.
0
Three letters picked without replacement from {p: 1, n: 2, b: 7, s: 4, u: 3}. Give prob of sequence uss.
3/340
Two letters picked without replacement from {r: 7, n: 4}. What is prob of sequence nr?
14/55
Four letters picked without replacement from txtxttttttttxtttxtt. Give prob of sequence ttxx.
35/1292
Two letters picked without replacement from eeeeueeeeue. What is prob of sequence ue?
9/55
Three letters picked without replacement from {k: 2, l: 6, z: 1, c: 3, f: 2, n: 1}. What is prob of sequence zkl?
2/455
Three letters picked without replacement from {v: 3, o: 11}. Give prob of sequence ovv.
11/364
What is prob of sequence tz when two letters picked without replacement from tzttktttttttzt?
11/91
Three letters picked without replacement from {n: 3, m: 1, r: 2, w: 4, v: 2}. Give prob of sequence wnn.
1/55
Two letters picked without replacement from {j: 4, u: 3}. What is prob of sequence uj?
2/7
Four letters picked without replacement from ubuuluvnubblnu. What is prob of sequence nvln?
1/6006
Three letters picked without replacement from {l: 2, n: 1, x: 4, d: 3, f: 1, z: 1}. What is prob of sequence nfx?
1/330
Three letters picked without replacement from {n: 3, b: 3, h: 3, s: 1}. What is prob of sequence nhh?
1/40
Two letters picked without replacement from vkddgdddkgvvddddf. Give prob of sequence vd.
27/272
What is prob of sequence hdh when three letters picked without replacement from hhhhddhhhdhdhhhhhhh?
140/969
What is prob of sequence kcc when three letters picked without replacement from kckckckckk?
1/10
Calculate prob of sequence yyyy when four letters picked without replacement from {y: 9, u: 3}.
14/55
Calculate prob of sequence dd when two letters picked without replacement from ddydydddddd.
36/55
What is prob of sequence rrp when three letters picked without replacement from rqqqraqqqfqarqpraff?
2/969
What is prob of sequence xj when two letters picked without replacement from nxdjg?
1/20
Two letters picked without replacement from {m: 2, t: 1, e: 1, u: 6, f: 3}. Give prob of sequence ft.
1/52
What is prob of sequence iajw when four letters picked without replacement from wiumwuuwwiaaija?
1/910
Calculate prob of sequence uumu when four letters picked without replacement from guuugugumuuggguuuggu.
11/1292
What is prob of sequence bb when two letters picked without replacement from xbxbbxxxbbxbxbxbxxxb?
18/95
Four letters picked without replacement from jjjjjjjqqjqjjj. What is prob of sequence qqjq?
1/364
Calculate prob of sequence af when two letters picked without replacement from {f: 2, a: 4}.
4/15
Four letters picked without replacement from kuyjyyuyjkycyyy. What is prob of sequence ykjc?
4/4095
Two letters picked without replacement from {y: 11, k: 3, w: 2, v: 2, f: 1}. Give prob of sequence kf.
1/114
Two letters picked without replacement from fzzfffyyzskyflfylf. Give prob of sequence yf.
14/153
Three letters picked without replacement from pllllxphxhzz. Give prob of sequence hhz.
1/330
What is prob of sequence xjj when three letters picked without replacement from {h: 1, j: 2, x: 7}?
7/360
Calculate prob of sequence sq when two letters picked without replacement from fqsqqqffffffqsfqfqff.
7/190
What is prob of sequence off when three letters picked without replacement from {o: 4, n: 2, f: 7}?
14/143
Three letters picked without replacement from {b: 4, s
|
{
"pile_set_name": "DM Mathematics"
}
|
when two letters picked without replacement from {a: 2, o: 1, m: 4}?
1/21
What is prob of sequence fcq when three letters picked without replacement from wqqqqqffccfg?
1/44
Two letters picked without replacement from {h: 6, i: 2, u: 2, x: 2}. Give prob of sequence ui.
1/33
Calculate prob of sequence sss when three letters picked without replacement from {s: 3, c: 12}.
1/455
Calculate prob of sequence usr when three letters picked without replacement from {u: 1, s: 1, r: 3}.
1/20
Calculate prob of sequence vnv when three letters picked without replacement from {f: 1, v: 2, n: 1}.
1/12
What is prob of sequence bbq when three letters picked without replacement from qbvvvqqb?
1/56
Two letters picked without replacement from {m: 3, v: 2}. What is prob of sequence mv?
3/10
Two letters picked without replacement from radrrcd. What is prob of sequence dd?
1/21
Four letters picked without replacement from {f: 10}. Give prob of sequence ffff.
1
Four letters picked without replacement from {r: 2, g: 5, c: 4}. Give prob of sequence rgrc.
1/198
What is prob of sequence jjtj when four letters picked without replacement from {t: 3, j: 8}?
7/55
What is prob of sequence ez when two letters picked without replacement from ppzpezee?
3/28
Two letters picked without replacement from sqqmssqssm. Give prob of sequence ms.
1/9
Two letters picked without replacement from rrsikriiisli. What is prob of sequence sl?
1/66
Four letters picked without replacement from {x: 1, m: 1, c: 2, n: 2}. What is prob of sequence mnxn?
1/180
Two letters picked without replacement from gqsuyyx. What is prob of sequence yy?
1/21
Calculate prob of sequence rrr when three letters picked without replacement from {p: 4, z: 3, r: 4, c: 2, k: 1, t: 1}.
4/455
Calculate prob of sequence idi when three letters picked without replacement from {d: 5, v: 7, i: 7}.
35/969
What is prob of sequence crc when three letters picked without replacement from ccrrrccrcrrcr?
35/286
Three letters picked without replacement from ljjjjjljjjjjljjjjj. What is prob of sequence lll?
1/816
Four letters picked without replacement from oxmow. Give prob of sequence owmx.
1/60
Two letters picked without replacement from {u: 5, k: 8, b: 3}. Give prob of sequence uk.
1/6
What is prob of sequence yqyy when four letters picked without replacement from bbyhhzzhbqhy?
0
What is prob of sequence rc when two letters picked without replacement from xxcmmmmcmcrxrxcmmms?
4/171
Two letters picked without replacement from {o: 3, k: 7, r: 7, t: 3}. Give prob of sequence ot.
9/380
What is prob of sequence nkem when four letters picked without replacement from wewknnekooemowoeeke?
1/2584
Two letters picked without replacement from rrkbbrrbub. What is prob of sequence bk?
2/45
Three letters picked without replacement from iaaajajaaaaaaaaajaaa. What is prob of sequence iai?
0
What is prob of sequence el when two letters picked without replacement from eyeylxii?
1/28
Four letters picked without replacement from {b: 7, g: 7, e: 4}. What is prob of sequence gegb?
49/3060
Three letters picked without replacement from {u: 3, a: 1, l: 5, o: 1}. What is prob of sequence auo?
1/240
Two letters picked without replacement from {p: 1, r: 1, t: 1}. What is prob of sequence tr?
1/6
What is prob of sequence gvy when three letters picked without replacement from {g: 5, y: 4, v: 1, x: 6}?
1/168
Four letters picked without replacement from eceppecpexpeeee. What is prob of sequence pexp?
4/1365
Four letters picked without replacement from kttakkafktkhkkkkzf. What is prob of sequence zath?
1/12240
Three letters picked without replacement from sgzpg. Give prob of sequence gzg.
1/30
What is prob of sequence fjo when three letters picked without replacement from ofjel?
1/60
Four letters picked without replacement from {q: 4, v: 3, y: 8, f: 2}. What is prob of sequence fqyy?
2/255
What is prob of sequence fbj when three letters picked without replacement from {f: 2, b: 1, j: 1}?
1/12
Calculate prob of sequence sq when two letters picked without replacement from {l: 3, s: 3, z: 2, q: 7}.
1/10
Two letters picked without replacement from {k: 1, b: 2, s: 1, z: 1}. Give prob of sequence kz.
1/20
Three letters picked without replacement from {j: 7, i: 5}. Give prob of sequence jij.
7/44
Two letters picked without replacement from ubycjjsc. What is prob of sequence us?
1/56
Two letters picked without replacement from {t: 3, l: 4, h: 2}. What is prob of sequence lh?
1/9
Calculate prob of sequence rm when two letters picked without replacement from {s: 2, m: 1, r: 1}.
1/12
What is prob of sequence pn when two letters picked without replacement from nnnnnnnpnnnnn?
1/13
Three letters picked without replacement from ixxxxxxx. Give prob of sequence ixx.
1/8
Two letters picked without replacement from {y: 2, r: 1, x: 3, t: 1, c: 3, k: 1}. What is prob of sequence cc?
3/55
Four letters picked without replacement from namlmmmmemmllmmlma. Give prob of sequence almm.
1/102
Two letters picked without replacement from rrubvej. Give prob of sequence rv.
1/21
Three letters picked without replacement from hccxcuhhuquxuuhhxc. Give prob of sequence qux.
5/1632
What is prob of sequence onmm when four letters picked without replacement from mmonnnonmm?
2/105
Two letters picked without replacement from {i: 5, q: 5}. What is prob of sequence qi?
5/18
What is prob of sequence wwtt when four letters picked without replacement from tttttttwwttt?
1/66
What is prob of sequence kisn when four letters picked without replacement from {i: 2, s: 2, j: 1, k: 1, n: 2, e: 4}?
1/1485
Calculate prob of sequence yy when two letters picked without replacement from {y: 3, k: 7}.
1/15
What is prob of sequence kfh when three letters picked without replacement from {k: 2, r: 1, c: 4, h: 3, i: 4, f: 6}?
1/190
Two letters picked without replacement from aaaaaitiaiaeaeeaaeaa. What is prob of sequence ae?
12/95
Three letters picked without replacement from dtnsydonnyystdn. What is prob of sequence dtn?
4/455
What is prob of sequence uu when two letters picked without replacement from luuuuuluuulullll?
3/10
What is prob of sequence aaia when four letters picked without replacement from {i: 8, z: 1, a: 4}?
8/715
What is prob of sequence bdz when three letters picked without replacement from {p: 1, b: 6, d: 6, z: 1, j: 6}?
1/190
What is prob of sequence mh when two letters picked without replacement from mmmmhhmmmmmmmmmmmhmm?
51/380
Two letters picked without replacement from {i: 2, h: 10, c: 2, x: 6}. Give prob of sequence cc.
1/190
Three letters picked without replacement from mvvmkwmwkvkwkmmw. Give prob of sequence wwv.
3/280
Three letters picked without replacement from oaaoaooaoaaaaaaaoa. What is prob of sequence oao?
5/68
What is prob of sequence xb when two letters picked without replacement from xbzzzxbxzxbx?
5/44
Three letters picked without replacement from ffqfaafqfafffafffaff. Give prob of sequence q
|
{
"pile_set_name": "DM Mathematics"
}
|
i) = i**2 - 3*i + 3. Let q be m(7). Let f(h) = 12 - q + 19 + 14*h. Let v(d) = -3*d. Let a(x) = x. Let j(r) = -10*a(r) - 4*v(r). Determine f(j(l)).
28*l
Let w(f) = 19*f - 22. Let j(g) = -3*g**2 + 628. Determine j(w(a)).
-1083*a**2 + 2508*a - 824
Let i(v) = -37*v + 1. Let c(j) = -10756293*j. Calculate i(c(s)).
397982841*s + 1
Let n(z) = 6342421 - 19*z - 6342421. Let l(y) = -110*y + 1. Calculate n(l(i)).
2090*i - 19
Let j(w) = 2*w**2. Let x(h) = 4235200*h**2 + 7941*h - 15882. Let y(a) = 2667*a**2 + 5*a - 10. Let v(p) = -5*x(p) + 7941*y(p). What is v(j(k))?
10588*k**4
Let f(k) = 30*k**2. Let d(l) be the second derivative of -1 + l + 0*l**3 + 0*l**2 + 1/4*l**4. What is f(d(y))?
270*y**4
Let p(x) = 118*x**2 - 5*x + 10. Let c(a) = 24*a**2 - a + 2. Let w(o) = 5*c(o) - p(o). Let j(n) = -1071*n. Give w(j(d)).
2294082*d**2
Let g(z) = -7*z. Let s be 2 - (-1 - (-3 - -2))/2. Let q(r) = 17*r**2 + 15*r**s - 25*r**2. Calculate g(q(t)).
-49*t**2
Suppose 7*g = 69318 + 18868. Let z(s) = s**2 + g - 12598. Let t(y) = 43*y**2. What is t(z(f))?
43*f**4
Let s(y) be the third derivative of -11*y**4/12 + 86*y**2 - 4. Let f(c) = -80*c**2. Determine f(s(i)).
-38720*i**2
Let b(r) = 10*r. Let m(v) = -1070307*v**2. Calculate b(m(w)).
-10703070*w**2
Let o(l) = -l. Let p(z) be the third derivative of 64*z**2 - z**4 - 13*z**2 + 9*z**4 - 9*z**4. Determine o(p(n)).
24*n
Let z(j) = 457*j**2 - 2*j. Let y(q) = 70*q + 66*q + 51*q - 182*q. Determine y(z(i)).
2285*i**2 - 10*i
Let z(q) be the second derivative of -3*q**4/2 - q**2/2 - 3138*q. Let d(o) = 39*o**2. Calculate z(d(t)).
-27378*t**4 - 1
Let s(i) = 2*i**2 + 309*i. Let t(a) be the first derivative of a**4/24 - 281*a**2/2 - 23. Let n(m) be the second derivative of t(m). Determine s(n(l)).
2*l**2 + 309*l
Let l(w) = 12*w - 2*w - 7*w. Let a(z) = 396*z**2 - 45*z + 45. Let t(h) = -18*h**2 + 2*h - 2. Let o(k) = -2*a(k) - 45*t(k). What is o(l(s))?
162*s**2
Let w(c) = -17*c + 57*c**2 - 12*c - 55*c**2 + 29*c. Let g(n) = -457*n**2. Give g(w(q)).
-1828*q**4
Let k(w) = 65915080*w**2. Let s(j) = 2*j. Calculate s(k(n)).
131830160*n**2
Let y(n) be the first derivative of 75*n**2/2 - 1. Let u(i) be the first derivative of -2*i**3/3 - 12864. What is u(y(o))?
-11250*o**2
Let s(o) = -101*o**2 - o. Let d(w) = 620*w + 2. Calculate d(s(p)).
-62620*p**2 - 620*p + 2
Let o(q) = -4 + 4 - 13506*q + 13519*q. Let z = 7 + -2. Let l(g) = z*g**2 + 0*g**2 - 4*g**2. Give o(l(k)).
13*k**2
Let m(g) = 124*g**2. Let j(h) = h + 3. Let f(r) = 8*r + 18. Suppose -c = 4*c + 10, 4*k - 32 = 4*c. Let i(z) = k*j(z) - f(z). Give i(m(l)).
-248*l**2
Let f(a) = -36199897*a. Let q(t) = 3*t**2. Determine q(f(u)).
3931297628431827*u**2
Let u(c) = 2*c - 7. Let d(t) = -35*t + 140. Let w(z) = d(z) + 20*u(z). Let g(l) = 1100*l. What is w(g(k))?
5500*k
Let l = -59261/6 + 9877. Let s(u) be the second derivative of -9/2*u**2 + 0 - l*u**3 + 8*u. Let p(i) = 2*i**2. What is p(s(f))?
2*f**2 + 36*f + 162
Let i(v) be the third derivative of 1261*v**5/30 + 2*v**2 + 98*v. Let c(x) = x. Calculate c(i(q)).
2522*q**2
Let g(m) = -802378 + 1604836 + 9*m - 802401. Let p(a) = 3*a. Calculate g(p(u)).
27*u + 57
Let z(h) be the third derivative of h**4/12 + 2*h**3 - 2*h**2 + 166. Let b(i) = -2*i - 1. Determine b(z(n)).
-4*n - 25
Let a(r) = -16*r. Suppose 4*k + p + 136 = 4*p, -2*p + 140 = -4*k. Let t = 45 + k. Let b(f) = -t*f**2 + 2*f**2 + 13*f**2 - 8*f**2. Determine a(b(l)).
16*l**2
Let a(p) = 8*p. Let r(w) = -10*w. Let t = 1 - 21. Let q(k) = -3*k. Let g(l) = t*q(l) + 5*r(l). What is a(g(o))?
80*o
Let x(w) = 3*w. Let p(j) be the first derivative of -3*j**5/40 + 19*j**3 + 26. Let m(r) be the third derivative of p(r). Calculate m(x(s)).
-27*s
Let h(a) = 3. Let d(l) = -l + 1. Let f(o) = -3*d(o) + h(o). Let u(r) be the third derivative of 3*r**4/8 - r**3/3 - 9*r**2 + 17*r. Give f(u(v)).
27*v - 6
Let r(q) = -7*q**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
22152970057 a prime number?
True
Is 22659860087 a prime number?
False
Is 30462189839 composite?
False
Is 2063621657 a composite number?
True
Is 6756657197 prime?
False
Is 13176102233 composite?
True
Is 36765310279 a composite number?
False
Is 170487214489 composite?
True
Is 620969095 prime?
False
Is 9081624491 composite?
True
Is 700607573 composite?
False
Is 516166561 composite?
False
Is 3891564941 a composite number?
True
Is 1654641991 composite?
False
Is 1089467929 a composite number?
True
Is 127013300866 prime?
False
Is 1362578417 a prime number?
True
Is 6061442137 prime?
False
Is 814037869 prime?
False
Is 1944189803 a composite number?
True
Is 289868827 a composite number?
False
Is 12525603863 prime?
True
Is 92627113 prime?
True
Is 22873056145 a prime number?
False
Is 30557067994 a composite number?
True
Is 297612233 a composite number?
True
Is 461015551 composite?
False
Is 160699519 a prime number?
True
Is 605198189 a composite number?
True
Is 186632791 a composite number?
False
Is 5079020297 a prime number?
False
Is 40654366439 a prime number?
True
Is 2953042093 a prime number?
True
Is 19727549297 a prime number?
False
Is 3019954871 composite?
False
Is 57396197 a prime number?
False
Is 6059889629 composite?
False
Is 64637519659 prime?
True
Is 165486287327 a prime number?
False
Is 58851847 composite?
False
Is 45920047427 prime?
True
Is 383819809 a prime number?
True
Is 106202538191 composite?
True
Is 810026207 composite?
False
Is 67685597297 prime?
True
Is 2734180733 prime?
False
Is 5192971213 composite?
False
Is 10883221 composite?
False
Is 4448193791 a prime number?
True
Is 3380805797 composite?
False
Is 10385553983 a composite number?
True
Is 1422560087 composite?
True
Is 11437865083 prime?
False
Is 47525924389 composite?
False
Is 1125419531 a prime number?
True
Is 2005488907 composite?
False
Is 6015902929 a composite number?
True
Is 563179273 composite?
True
Is 1137495911 a composite number?
True
Is 403248845 a prime number?
False
Is 916974923 prime?
False
Is 28114994767 a composite number?
True
Is 1182464471 a prime number?
True
Is 63479561 prime?
False
Is 96310535291 a prime number?
False
Is 8251319033 composite?
True
Is 311332993295 a prime number?
False
Is 1173744526 composite?
True
Is 9976946059 a composite number?
False
Is 14220064253 a prime number?
False
Is 850374761 a prime number?
True
Is 9087221953 a prime number?
True
Is 85009356589 composite?
True
Is 29848303651 a prime number?
False
Is 5080192951 a prime number?
False
Is 1098753569 composite?
True
Is 9676687331 prime?
True
Is 118928707 a prime number?
True
Is 556878901 prime?
True
Is 16704690053 a prime number?
False
Is 1983398947 prime?
True
Is 4568558089 composite?
True
Is 154771192034 a prime number?
False
Is 344450213 a prime number?
True
Is 1399097251 composite?
True
Is 18560268113 prime?
True
Is 7529368943 prime?
False
Is 21845038331 composite?
False
Is 80568405529 a composite number?
False
Is 4259351633 a prime number?
True
Is 35261713231 prime?
True
Is 1043779661 a composite number?
False
Is 4068266161 a composite number?
False
Is 14496639869 a prime number?
True
Is 2118030659 a prime number?
True
Is 10964385193 prime?
True
Is 532951274 composite?
True
Is 6038076907 a composite number?
False
Is 2761337429 composite?
False
Is 39556999 a prime number?
False
Is 31390087 prime?
True
Is 1708501687 prime?
True
Is 5255755223 prime?
False
Is 121954157 a composite number?
True
Is 24612509057 prime?
True
Is 728358311 prime?
True
Is 141256097 a composite number?
True
Is 14753738947 composite?
False
Is 2393819689 a prime number?
True
Is 732518443 a composite number?
False
Is 4411650731 a prime number?
True
Is 3859369013 prime?
True
Is 8247307598 a prime number?
False
Is 181139501 composite?
False
Is 20425842037 prime?
False
Is 1152455033 composite?
True
Is 2384204843 a composite number?
False
Is 22166834117 a composite number?
False
Is 720936509 a composite number?
False
Is 147974483 prime?
True
Is 7480245749 prime?
False
Is 31306549331 composite?
False
Is 16059465809 a composite number?
False
Is 1103066693 a prime number?
True
Is 400967129 a composite number?
False
Is 19073577779 a prime number?
False
Is 80295041 a composite number?
False
Is 1670527 a prime number?
True
Is 738618905 prime?
False
Is 175690267 composite?
True
Is 7792562345 composite?
True
Is 4868414261 a composite number?
False
Is 407548931 a composite number?
True
Is 226978129 prime?
False
Is 152397863 composite?
False
Is 134771961637 a composite number?
True
Is 9793546253 a prime number?
True
Is 3514311239 composite?
True
Is 292344799 a composite number?
True
Is 1872616849 a composite number?
True
Is 1473610907 a prime number?
False
Is 8789902021 composite?
True
Is 26745887 prime?
False
Is 567563723 composite?
True
Is 2683609769 composite?
False
Is 39045780107 prime?
True
Is 738000947 a prime number?
True
Is 23023557659 composite?
False
Is 684869093 prime?
False
Is 1868801227 a prime number?
True
Is 60110958059 a prime number?
False
Is 305368801 prime?
True
Is 4679082677 a composite number?
False
Is 1185824213 composite?
True
Is 405709683 a prime number?
False
Is 77989901 composite?
True
Is 1294886339 a prime number?
True
Is 11263102843 a prime number?
False
Is 63463550771 composite?
True
Is 1891425353 composite?
True
Is 13237664519 composite?
False
Is 12494092231 a composite number?
False
Is 59544965549 prime?
True
Is 3572677253 composite?
False
Is 486524009 composite?
True
Is 166428839 a composite number?
False
Is 2293485889 a composite number?
False
Is 29683892101 a prime number?
False
Is 1109007197 composite?
False
Is 11048974477 composite?
False
Is 265437953 a composite number?
True
Is 5528983753 prime?
False
Is 857507359 prime?
True
Is 33378828479 a composite number?
True
Is 460833533 a composite number?
False
Is 585493813 a composite number?
True
Is 3382964527 composite?
False
Is 1053122029 a composite number?
True
Is 28224715661 a composite number?
True
Is 86177342 prime?
False
Is 3874739665 prime?
False
Is 2590653526 composite?
True
|
{
"pile_set_name": "DM Mathematics"
}
|
44459*o/6 - 20372/3 = 0.
-3704, -11, -1, 1
Solve -g**2/7 - 4832*g/7 + 4833/7 = 0.
-4833, 1
Factor 2*u**4/9 + 68*u**3 - 410*u**2/3 + 616*u/9.
2*u*(u - 1)**2*(u + 308)/9
Factor z**3 + 2312*z**2 + 1334021*z - 2677298.
(z - 2)*(z + 1157)**2
Factor 2*f**2 + 11818*f - 94672.
2*(f - 8)*(f + 5917)
Factor -6*c**3 - 206*c**2 - 604*c + 496.
-2*(c + 4)*(c + 31)*(3*c - 2)
Suppose 4*v**2 + 1443896*v - 1443900 = 0. What is v?
-360975, 1
Solve -2*n**5/5 + 16*n**4/5 + 10*n**3 - 328*n**2/5 + 72*n = 0.
-5, 0, 2, 9
Factor 5*s**3 - 630*s**2 - 2580*s - 2600.
5*(s - 130)*(s + 2)**2
Factor -4*i**3 + 2520524*i**2.
-4*i**2*(i - 630131)
Determine p, given that -4*p**4 - 3172*p**3 - 12644*p**2 - 15788*p - 6312 = 0.
-789, -2, -1
Factor 2*r**3/9 + 58*r**2/3 + 2464*r/9 + 1960/3.
2*(r + 3)*(r + 14)*(r + 70)/9
Suppose 2*q**5/5 - 508*q**4/5 + 7262*q**3/5 - 21796*q**2/5 - 46144*q/5 + 61184/5 = 0. What is q?
-2, 1, 8, 239
Determine p, given that -2*p**4 + 1820*p**3 - 374066*p**2 - 18192720*p - 199840032 = 0.
-21, 476
Let -17*o**2 + 19871*o + 2338 = 0. What is o?
-2/17, 1169
Factor j**4/3 + 16663*j**3/9 + 16660*j**2/9.
j**2*(j + 1)*(3*j + 16660)/9
Determine d, given that -50*d**5 + 96160*d**4 + 752202*d**3 + 1714192*d**2 + 1034920*d + 185376 = 0.
-4, -3, -2/5, 1931
Suppose -2*g**4 - 26*g**3 + 136*g**2 + 2520*g + 7200 = 0. What is g?
-12, -6, -5, 10
Determine h so that -20*h**5 - 328*h**4 - 1536*h**3 - 1496*h**2 + 404*h + 672 = 0.
-8, -7, -1, 3/5
What is o in -27*o**4/4 - 435*o**3/4 - 423*o**2/4 + 435*o/4 + 225/2 = 0?
-15, -10/9, -1, 1
What is q in -2*q**2/5 + 487046*q/5 - 487044/5 = 0?
1, 243522
Solve 12065*u**3 - 132685*u**2 + 289230*u + 720 = 0 for u.
-6/2413, 3, 8
Find z, given that -8*z**4/11 - 974*z**3/11 - 16792*z**2/11 - 4736*z = 0.
-407/4, -16, -4, 0
Solve -12*x**2/5 + 2097*x - 58305 = 0.
115/4, 845
Suppose -m**5/3 + 15*m**4 + 193*m**3/3 + 49*m**2 = 0. What is m?
-3, -1, 0, 49
Factor x**4/7 + 942*x**3/7 + 270948*x**2/7 + 14763970*x/7 - 2640819957/7.
(x - 69)*(x + 337)**3/7
Let 7*k**5 - 26*k**4 + 4*k**3 + 42*k**2 - 27*k = 0. Calculate k.
-9/7, 0, 1, 3
Factor -m**4 + 99*m**3 + 9315*m**2 + 147609*m - 529254.
-(m - 162)*(m - 3)*(m + 33)**2
Determine g so that 2*g**4/11 + 10880*g**3/11 + 21752*g**2/11 = 0.
-5438, -2, 0
Find d, given that d**3 - 25246*d**2 + 159314880*d + 318730752 = 0.
-2, 12624
Solve -y**5/6 + 31*y**4/3 - 290*y**3/3 - 1721*y**2/3 + 29381*y/6 + 59290/3 = 0 for y.
-5, -4, 11, 49
Let 4*o**2/3 - 825404*o/3 - 275136 = 0. What is o?
-1, 206352
Factor 2*r**2/13 - 29306*r/13 - 87936/13.
2*(r - 14656)*(r + 3)/13
Find t such that 2*t**5/15 + 3004*t**4/5 + 10170026*t**3/15 + 13524008*t**2/5 + 40536008*t/15 = 0.
-2251, -2, 0
Suppose 147*p**5/5 - 69909*p**4/5 - 528096*p**3/5 + 318876*p**2/5 - 46368*p/5 = 0. What is p?
-8, 0, 2/7, 483
Factor 4*d**3/5 - 448*d**2/5 - 254476*d/5 - 17263688/5.
4*(d - 338)*(d + 113)**2/5
Solve 3*l**2/4 - 1125*l/2 - 6777/4 = 0 for l.
-3, 753
Factor 2*q**4/13 - 119154*q**3/13 + 238300*q**2/13.
2*q**2*(q - 59575)*(q - 2)/13
Factor -5*u**2 - 530*u - 12920.
-5*(u + 38)*(u + 68)
Factor -h**3 - 2280*h**2 - 9107*h - 6828.
-(h + 1)*(h + 3)*(h + 2276)
Find g, given that 2*g**4/15 + 2612*g**3/15 + 847576*g**2/15 - 684868*g/3 + 171610 = 0.
-655, 1, 3
Factor -m**3/2 - 405*m**2/2 - 54567*m/2 - 2445363/2.
-(m + 123)*(m + 141)**2/2
Factor c**3/4 + 41*c**2 - 167*c/4 - 165/2.
(c - 2)*(c + 1)*(c + 165)/4
Factor 3*z**2 + 17547*z + 35082.
3*(z + 2)*(z + 5847)
Suppose -5*j**4 + 140*j**3 + 10860*j**2 - 160160*j - 6852160 = 0. Calculate j.
-28, 38, 46
Factor 25*c**3 - 685*c**2 + 380*c + 28000.
5*(c - 25)*(c - 8)*(5*c + 28)
Suppose -b**4 - 196*b**3 + 812*b**2 + 2400*b = 0. Calculate b.
-200, -2, 0, 6
Factor 2*q**2 + 166960*q + 667808.
2*(q + 4)*(q + 83476)
Factor 11848712*k**2 + 29208*k + 18.
2*(2434*k + 3)**2
|
{
"pile_set_name": "DM Mathematics"
}
|
7637 a composite number?
True
Is 266123465 prime?
False
Is 29248382327 prime?
True
Is 9950083537 composite?
True
Is 55001117 composite?
False
Is 730694249 a composite number?
False
Is 86538217 a composite number?
True
Is 1375635101 prime?
True
Is 15188156777 a composite number?
True
Is 2693655031 prime?
True
Is 17508137639 a composite number?
False
Is 48007845527 composite?
True
Is 15411530791 prime?
True
Is 857030269 prime?
False
Is 1533420337 prime?
True
Is 1152355429 prime?
False
Is 5834587327 composite?
False
Is 872351063 composite?
False
Is 4479292969 a composite number?
True
Is 21327104083 prime?
True
Is 640325899 a prime number?
True
Is 139623587 composite?
False
Is 23556719 a prime number?
True
Is 304609037 prime?
False
Is 8290221337 a composite number?
True
Is 175822159 composite?
True
Is 260199523 prime?
False
Is 905166053 a prime number?
False
Is 9937537693 a composite number?
False
Is 381394297 a composite number?
False
Is 88217650211 prime?
True
Is 7289762819 prime?
True
Is 49048511627 a composite number?
True
Is 217594043 a prime number?
False
Is 26941525181 a composite number?
False
Is 12058958221 a prime number?
True
Is 55050915079 composite?
True
Is 24033419771 prime?
True
Is 990963815 a composite number?
True
Is 814581613 a composite number?
False
Is 4326059033 a prime number?
False
Is 899504083 composite?
False
Is 40669270139 a prime number?
False
Is 80785517 a prime number?
True
Is 8604854897 composite?
False
Is 83768091767 a prime number?
True
Is 33753447619 composite?
True
Is 7809900179 composite?
True
Is 67882071181 prime?
True
Is 85961291131 a composite number?
True
Is 244134827737 a composite number?
False
Is 291847463 composite?
False
Is 64505156273 prime?
False
Is 11072962211 a composite number?
False
Is 53230334951 a prime number?
True
Is 48938818277 a prime number?
False
Is 5791693837 prime?
True
Is 33420827387 a prime number?
True
Is 5060504753 composite?
True
Is 264395487467 prime?
False
Is 1384374919 a prime number?
True
Is 143537437 composite?
False
Is 9250524571 a composite number?
False
Is 865024967 prime?
True
Is 5418506035 prime?
False
Is 543713791 prime?
False
Is 6987461567 a prime number?
False
Is 5665204607 prime?
False
Is 4467031237 prime?
False
Is 3442431061 composite?
False
Is 77320237 prime?
True
Is 71948442539 a composite number?
False
Is 1094136977 a composite number?
False
Is 20611527526 a prime number?
False
Is 2556097319 composite?
False
Is 17409229399 a composite number?
False
Is 60346668563 a composite number?
False
Is 2498003639 a prime number?
True
Is 1212832897 a prime number?
False
Is 328423526 composite?
True
Is 4293360611 composite?
False
Is 237099493 prime?
False
Is 130053019 composite?
False
Is 1261621637 composite?
False
Is 5624589833 prime?
True
Is 38512599038 a prime number?
False
Is 8503044943 a prime number?
True
Is 16895839309 a composite number?
False
Is 2880706791 a prime number?
False
Is 2016779747 a composite number?
False
Is 45285299309 a prime number?
False
Is 4943092643 a composite number?
False
Is 1123161437 a composite number?
False
Is 8182674193 prime?
True
Is 2337867221 a prime number?
True
Is 463950449 prime?
True
Is 66894563 composite?
False
Is 1510638791 prime?
True
Is 3486262399 a composite number?
True
Is 3299019221 a composite number?
True
Is 1661747627 a prime number?
False
Is 3399429827 a prime number?
False
Is 3168385135 prime?
False
Is 7740057389 prime?
False
Is 402418399 a composite number?
True
Is 11714646787 prime?
False
Is 359708653 prime?
True
Is 294426464759 composite?
True
Is 3318089899 a prime number?
False
Is 245994367 a prime number?
False
Is 355539949 a composite number?
False
Is 451219333 composite?
True
Is 5074500367 a prime number?
True
Is 225483227 a prime number?
True
Is 1284378161 a composite number?
True
Is 75675248063 a prime number?
False
Is 51832616593 a prime number?
True
Is 1074610513 a prime number?
True
Is 55229422849 a prime number?
False
Is 1916751727 prime?
False
Is 668442881 composite?
True
Is 491432999 composite?
False
Is 169434683 a prime number?
False
Is 395314643 prime?
True
Is 74510352394 a prime number?
False
Is 140679235 prime?
False
Is 6184833817 a prime number?
True
Is 3413103367 composite?
True
Is 4213587827 prime?
False
Is 62735837 a composite number?
False
Is 9174720467 prime?
False
Is 399179147 a prime number?
False
Is 59629131179 a composite number?
False
Is 681290057 composite?
True
Is 23137046689 composite?
False
Is 4880648963 prime?
False
Is 8270414853 a composite number?
True
Is 1071200051 a composite number?
False
Is 13348610147 prime?
False
Is 191843808071 a prime number?
True
Is 408809599 prime?
False
Is 846531671 a composite number?
False
Is 3515681567 composite?
False
Is 1737896231 a prime number?
True
Is 4720129171 composite?
False
Is 114185147 prime?
True
Is 27544643891 a prime number?
False
Is 13545907 a prime number?
True
Is 193424381 prime?
False
Is 407458273 composite?
True
Is 856729409 composite?
False
Is 3367319491 prime?
True
Is 315425501 composite?
True
Is 11775396601 a prime number?
True
Is 51424899577 a prime number?
False
Is 44300088923 a composite number?
False
Is 22959955 prime?
False
Is 21153963169 a prime number?
False
Is 26659655479 a composite number?
False
Is 692476441 prime?
True
Is 25223218469 a composite number?
True
Is 4265726951 a prime number?
False
Is 359538719 composite?
False
Is 17293973 a prime number?
False
Is 86143555277 composite?
True
Is 178127345839 a composite number?
True
Is 16868320991 a composite number?
False
Is 77848706797 prime?
False
Is 8327580941 a prime number?
False
Is 5495057 composite?
True
Is 11343183127 prime?
True
Is 9053592133 a composite number?
True
Is 1591299487 composite?
False
Is 218517097 a prime number?
True
Is 10392937703 composite?
False
Is 47349072427 a composite number?
False
Is 125018518033 composite?
True
Is 4873002397 a prime number?
False
Is 8676312739 a prime number?
True
Is 140345137 a composite number?
False
Is 20890800079 prime?
True
Is 234
|
{
"pile_set_name": "DM Mathematics"
}
|
0006887585
How many months are there in 43/2 of a year?
258
How many centimeters are there in 17/2 of a meter?
850
How many seconds are there in 4.205471 minutes?
252.32826
Convert 42.04789ml to litres.
0.04204789
Convert 2630.624 weeks to milliseconds.
1591001395200
What is 2906.756m in micrometers?
2906756000
How many micrograms are there in thirteen fifths of a milligram?
2600
How many weeks are there in 971.893944 nanoseconds?
0.0000000000016069675
How many years are there in 6/5 of a millennium?
1200
How many millilitres are there in one twentieth of a litre?
50
Convert 95651.22ml to litres.
95.65122
How many millilitres are there in 39777.8l?
39777800
Convert 62.08406l to millilitres.
62084.06
How many micrometers are there in three eighths of a millimeter?
375
How many micrometers are there in three fifths of a millimeter?
600
What is twenty-one eighths of a millisecond in microseconds?
2625
How many microseconds are there in 71674.7 nanoseconds?
71.6747
What is 5/8 of a milligram in micrograms?
625
What is 95986.34 weeks in milliseconds?
58052538432000
How many grams are there in 1/10 of a tonne?
100000
How many centimeters are there in seven halves of a meter?
350
What is 52/5 of a gram in milligrams?
10400
Convert 0.6548017t to milligrams.
654801700
How many weeks are there in 149334.2298s?
0.2469150625
What is one tenth of a hour in minutes?
6
How many millilitres are there in 6/25 of a litre?
240
How many weeks are there in 815135.832ns?
0.0000000013477775
What is 31.54394 centimeters in millimeters?
315.4394
How many milligrams are there in 7/2 of a gram?
3500
How many weeks are there in 11705494.5 hours?
69675.5625
How many nanometers are there in 912705.9mm?
912705900000
What is 91757.42 kilometers in micrometers?
91757420000000
What is seventy-three quarters of a kilogram in grams?
18250
Convert 1.065574nm to micrometers.
0.001065574
What is thirty-two fifths of a century in decades?
64
How many millilitres are there in 21/4 of a litre?
5250
How many milligrams are there in 27/5 of a gram?
5400
How many minutes are there in twenty-nine fifths of a week?
58464
What is 88008.11g in micrograms?
88008110000
What is 45/4 of a gram in milligrams?
11250
What is 0.5277582 litres in millilitres?
527.7582
How many tonnes are there in 3.0637mg?
0.0000000030637
How many millilitres are there in eighty-seven quarters of a litre?
21750
Convert 813.6348ug to kilograms.
0.0000008136348
What is 6/5 of a litre in millilitres?
1200
What is 1/4 of a hour in seconds?
900
What is 31.305438 microseconds in hours?
0.000000008695955
What is 2/125 of a centimeter in micrometers?
160
How many decades are there in seven halves of a millennium?
350
What is 7/2 of a litre in millilitres?
3500
How many minutes are there in twenty-two ninths of a week?
24640
What is one tenth of a tonne in grams?
100000
What is 0.6750803s in nanoseconds?
675080300
How many millilitres are there in 0.534513 litres?
534.513
How many kilograms are there in 3/8 of a tonne?
375
What is 49/5 of a litre in millilitres?
9800
How many decades are there in 3019.377 months?
25.161475
How many micrograms are there in 11/8 of a milligram?
1375
What is eleven eighths of a gram in milligrams?
1375
How many months are there in one sixth of a millennium?
2000
What is 1/10 of a decade in months?
12
Convert 37650.51 millimeters to kilometers.
0.03765051
Convert 92.14164 nanometers to meters.
0.00000009214164
How many years are there in one twentieth of a millennium?
50
What is 8.859512mm in nanometers?
8859512
What is 0.22331 kilograms in nanograms?
223310000000
Convert 443.2884 weeks to minutes.
4468347.072
What is three fifths of a litre in millilitres?
600
Convert 6254.38ml to litres.
6.25438
How many millilitres are there in eighteen fifths of a litre?
3600
How many micrometers are there in 726143.2 meters?
726143200000
Convert 1114.929 kilometers to centimeters.
111492900
Convert 658144.3 litres to millilitres.
658144300
What is twenty-one halves of a litre in millilitres?
10500
How many nanometers are there in 0.588194 kilometers?
588194000000
How many minutes are there in ten thirds of a hour?
200
What is sixty-seven quarters of a tonne in kilograms?
16750
What is twenty-six fifths of a milligram in micrograms?
5200
What is eleven sevenths of a week in hours?
264
Convert 5585.891 centimeters to meters.
55.85891
What is four thirds of a week in hours?
224
What is 13/8 of a litre in millilitres?
1625
How many nanoseconds are there in 43112.41 minutes?
2586744600000000
How many millimeters are there in 18750.58m?
18750580
How many millilitres are there in eleven eighths of a litre?
1375
How many months are there in 0.0158894 decades?
1.906728
What is 0.7397066 milligrams in micrograms?
739.7066
What is 12/25 of a microsecond in nanoseconds?
480
What is 69.98613m in micrometers?
69986130
What is 17/4 of a tonne in kilograms?
4250
What is five sixths of a year in months?
10
How many millilitres are there in one quarter of a litre?
250
What is 0.3492196 millennia in decades?
34.92196
How many millimeters are there in six fifths of a meter?
1200
What is 3/8 of a centimeter in micrometers?
3750
What is 77475.53 microseconds in nanoseconds?
77475530
What is 33.20352ms in minutes?
0.000553392
What is 1/10 of a litre in millilitres?
100
Convert 0.7659171ug to milligrams.
0.0007659171
Convert 182163.7m to micrometers.
182163700000
How many days are there in 16.563114 hours?
0.69012975
What is twenty-six fifths of a milligram in micrograms?
5200
Convert 1.427263 kilograms to nanograms.
1427263000000
Convert 1.921951 years to millennia.
0.001921951
Convert 258.3504 millennia to decades.
25835.04
What is 57/5 of a litre in millilitres?
11400
How many nanometers are there in 3/5 of a micrometer?
600
How many milligrams are there in 4431.944 kilograms?
4431944000
How many millimeters are there in 2.873364 micrometers?
0.002873364
What is 3/8 of a week in minutes?
3780
How many hours are there in 5/6 of a day?
20
Convert 4.7448m to millimeters.
4744.8
What is one twentieth of a litre in millilitres?
50
What is sixty-nine halves of a litre in millilitres?
34500
How many millilitres are there in 6/5 of a litre?
1200
How many years are there in 43/2 of a millennium?
21500
Convert 70.7356 grams to tonnes.
0.0000707356
How many decades are there in 33/5 of a century?
66
How many decades are there in thirty-seven fifths of a millennium?
740
What is fourty-three halves of a hour in seconds?
77400
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
72
4577664 divided by -393
-11648
-13 divided by -3400
13/3400
Calculate 22050 divided by 175.
126
-38 divided by -1433
38/1433
What is 216000 divided by -540?
-400
Divide 19716 by 4.
4929
-2651230 divided by 530246
-5
What is 2494 divided by 2367?
2494/2367
Calculate 15872 divided by 3.
15872/3
-6 divided by -8935
6/8935
What is 5 divided by 81438?
5/81438
What is 23667 divided by -21?
-1127
Divide 1140 by 10.
114
Divide -993 by 53.
-993/53
Divide 2 by -104061.
-2/104061
What is -630 divided by -32?
315/16
What is 33172665 divided by 5?
6634533
-385236 divided by -3
128412
Divide 1417934 by 708967.
2
Calculate -37538 divided by -137.
274
Calculate 6095 divided by -5.
-1219
Divide 36 by 780.
3/65
Divide -56005 by -11201.
5
What is 2 divided by -1961?
-2/1961
What is -714 divided by 35?
-102/5
What is -1046 divided by 759?
-1046/759
Divide 13 by 70254.
13/70254
What is -179120 divided by -40?
4478
Calculate 272128 divided by 2.
136064
359268 divided by 28
12831
-426465 divided by -10935
39
Calculate 2575066 divided by -1.
-2575066
7014 divided by -6
-1169
What is 1264860 divided by 2?
632430
What is -64480 divided by 26?
-2480
Divide 65610 by -1458.
-45
Calculate -27300 divided by 273.
-100
Divide 14012 by 452.
31
Calculate 778408 divided by 2.
389204
Divide -486 by 9.
-54
What is -1 divided by 10706?
-1/10706
What is 832240 divided by -16?
-52015
Divide 2217 by 23.
2217/23
Calculate 67498 divided by -33749.
-2
Calculate 92615 divided by -92615.
-1
Calculate 19217 divided by 3.
19217/3
64 divided by 11835
64/11835
What is 40 divided by 51?
40/51
Divide -75826 by 1.
-75826
Calculate -5 divided by 11816.
-5/11816
-2691 divided by 5
-2691/5
-1 divided by 3406
-1/3406
Divide 1010862 by -5679.
-178
Divide 562 by 888.
281/444
What is 1833396 divided by 6?
305566
Calculate -24619 divided by -1.
24619
Divide -126196 by -7.
18028
57707 divided by 1
57707
What is 213 divided by -2?
-213/2
Divide 3 by -41345.
-3/41345
What is 3485 divided by -33?
-3485/33
-129234 divided by 3
-43078
Divide 140840 by -28.
-5030
Divide -2550 by -2.
1275
-593 divided by -436
593/436
What is 67032 divided by -56?
-1197
Calculate 64090 divided by 442.
145
260128 divided by 8
32516
Divide 96965 by -4.
-96965/4
134777 divided by 1
134777
What is 12 divided by -3390?
-2/565
Calculate -399156 divided by -2.
199578
Divide 2397 by 2020.
2397/2020
What is 120 divided by -5028?
-10/419
What is -68096 divided by -152?
448
Divide 20410 by -5.
-4082
Divide 38 by 1135.
38/1135
-58630 divided by -29315
2
Divide -1044 by 20.
-261/5
-2 divided by -1323
2/1323
Divide 25588 by 2.
12794
-98364 divided by -7026
14
Calculate -58 divided by 1298.
-29/649
What is -3144640 divided by 2536?
-1240
Divide -12 by -1282.
6/641
Calculate -10 divided by 12841.
-10/12841
Calculate -2329825 divided by 1025.
-2273
-239961 divided by 1
-239961
426660 divided by -10
-42666
Divide 155913 by 3.
51971
Calculate -1777 divided by 13.
-1777/13
Calculate -52 divided by -4868.
13/1217
What is -116436 divided by 6?
-19406
What is -3990780 divided by 22171?
-180
Divide 95278 by -4.
-47639/2
-45568 divided by -712
64
What is -4 divided by 11467?
-4/11467
Divide -628364 by -14281.
44
Calculate 60 divided by 11.
60/11
-1359522 divided by -2
679761
Calculate 3795 divided by 23.
165
What is 4 divided by -8380?
-1/2095
Divide 2839440 by 4.
709860
-13163 divided by -12
13163/12
9019 divided by -9019
-1
What is 17759 divided by -6?
-17759/6
111 divided by 5032
3/136
Calculate -673 divided by -4199.
673/4199
What is 461089 divided by -3?
-461089/3
What is -4 divided by -3018?
2/1509
176200 divided by -88100
-2
-4 divided by 860230
-2/430115
What is -778370 divided by 10?
-77837
2262204 divided by -126
-17954
21909 divided by -7303
-3
-2163 divided by 3
-721
Divide 122287 by -1.
-122287
Calculate -261995 divided by 52399.
-5
Divide 46056 by -23028.
-2
-516258 divided by 129
-4002
Divide -21294 by -10647.
2
Calculate 69173 divided by 26.
5321/2
69209 divided by 9887
7
Divide -11068734 by 6.
-1844789
Calculate -67575 divided by 5.
-13515
Divide 1412 by -86.
-706/43
Divide -5 by -27140.
1/5428
What is 8 divided by 82474?
4/41237
Divide 117893 by 6.
117893/6
-74172 divided by 2
-37086
What is 690048 divided by -57504?
-12
What is -547956 divided by 1?
-547956
Divide 492360 by -98472.
-5
Calculate 970 divided by 51.
970/51
Divide 40896 by 13632.
3
Divide 29212 by -4.
-7303
Divide -562 by 1370.
-281/685
Divide 88752 by -172.
-516
Calculate 26687 divided by -10.
-26687/10
Divide 3 by 892813.
3/892813
Divide 8 by -3611.
-8/3611
-6046 divided by -18
3023/9
192775 divided by 5
38555
Calculate -226120 divided by 10.
-22612
Divide 31 by 342.
31/342
-76393 divided by 79
-967
Calculate 7 divided by -9461.
-7/9461
What is 572460 divided by -329?
-1740
-569184 divided by 142296
-4
Divide -8 by -1243.
8/1243
What is -54048 divided by -6?
9008
38617 divided by 3
38617/3
513012 divided by -6
-85502
Divide 1 by -52983.
-1/52983
What is 1 divided by 1745?
1/1745
What is 311400 divided by -150?
-2076
What is -183657 divided by 87?
-2111
Calculate -607235 divided by -121447.
5
Calculate -316415 divided by -11.
28765
Calculate 2190
|
{
"pile_set_name": "DM Mathematics"
}
|
629, 927, 1205, 1457, 1677, 1859, 1997?
2085
What comes next: 13, 109, 361, 847, 1645?
2833
What is the next term in -666, -675, -698, -741, -810?
-911
What comes next: 80, 108, 184, 332, 576, 940, 1448, 2124?
2992
What is the next term in 4185, 8371, 12557?
16743
What is next in 70, 139, 204, 265, 322, 375?
424
What is the next term in -18, 30, 144, 324, 570?
882
What is the next term in 113, 239, 435, 707, 1061, 1503, 2039, 2675?
3417
What is the next term in -18, -43, -98, -195, -346?
-563
What comes next: 308, 563, 818, 1073, 1328?
1583
What comes next: 71, 285, 649, 1169, 1851, 2701, 3725?
4929
What comes next: -1741, -1753, -1779, -1825, -1897?
-2001
What is next in -51, -109, -171, -237, -307, -381, -459?
-541
What is the next term in 1723, 1728, 1745, 1780, 1839, 1928, 2053, 2220?
2435
What is the next term in 1714, 3426, 5138, 6850, 8562?
10274
What is next in -30, -22, -14, -6?
2
What comes next: 284, 1209, 2750, 4907, 7680, 11069, 15074?
19695
What is the next term in 60, 50, 34, 12, -16, -50, -90?
-136
What is next in 84, 879, 3040, 7251, 14196, 24559?
39024
What is next in -69, -100, -127, -150, -169, -184, -195?
-202
What comes next: 12, -4, -52, -150, -316, -568, -924?
-1402
What is next in -3, 36, 109, 216, 357?
532
What is the next term in -130, -505, -1128, -1999?
-3118
What is the next term in -341, -649, -967, -1301, -1657, -2041, -2459?
-2917
What is next in -2, 24, 88, 208, 402, 688?
1084
What comes next: -372, -744, -1116, -1488?
-1860
What is the next term in -284, -1119, -2510, -4457, -6960, -10019?
-13634
What is the next term in -648, -2581, -5810, -10341, -16180?
-23333
What is the next term in 7, 25, 69, 151, 283, 477, 745?
1099
What comes next: 129, 100, 29, -102, -311, -616, -1035?
-1586
What is the next term in 1872, 1874, 1876, 1878, 1880, 1882?
1884
What is the next term in 247, 269, 319, 403, 527, 697, 919, 1199?
1543
What comes next: -7516, -7518, -7520, -7522, -7524?
-7526
What is the next term in 677, 678, 679, 680?
681
What is the next term in -20, -12, 2, 22, 48, 80?
118
What is the next term in -340, -1349, -3030, -5383, -8408, -12105?
-16474
What is next in -6, -7, 2, 27, 74, 149?
258
What comes next: 351, 699, 1047, 1395?
1743
What is the next term in -182, -1417, -4756, -11249, -21946, -37897, -60152, -89761?
-127774
What comes next: -26, -44, -84, -158, -278, -456?
-704
What comes next: -223, -440, -659, -880?
-1103
What is the next term in -114, -107, -100?
-93
What is the next term in -3036, -3031, -3016, -2985, -2932, -2851, -2736?
-2581
What comes next: -491, -490, -489, -488, -487?
-486
What is the next term in -877, -874, -869, -862, -853?
-842
What comes next: -697, -2772, -6231, -11074, -17301, -24912, -33907?
-44286
What comes next: 164, 346, 538, 746, 976, 1234?
1526
What is the next term in 60, 82, 118, 168?
232
What is next in 18, 14, 0, -30, -82, -162?
-276
What comes next: 19, 77, 167, 283, 419, 569?
727
What is next in 136, 255, 374, 493?
612
What is next in 31, 64, 97, 130?
163
What is next in -57, -63, -69, -75, -81, -87?
-93
What is next in -51, -85, -95, -69, 5, 139?
345
What comes next: -1773, -3544, -5315, -7086, -8857, -10628?
-12399
What is next in -9, 20, 87, 210, 407, 696, 1095, 1622?
2295
What comes next: 29, 34, 39, 44?
49
What is next in 352, 736, 1120, 1504, 1888, 2272?
2656
What is the next term in 5, 49, 117, 203, 301, 405, 509, 607?
693
What comes next: 11, 25, 39, 53, 67?
81
What is next in -17, -52, -97, -158, -241, -352, -497, -682?
-913
What comes next: -84, -216, -398, -636, -936, -1304, -1746?
-2268
What comes next: -58, -163, -318, -523, -778, -1083, -1438?
-1843
What is the next term in 151, 268, 385, 502?
619
What is the next term in -75, -308, -697, -1242, -1943?
-2800
What comes next: -64, -68, -82, -112, -164?
-244
What comes next: 228, 238, 252, 270, 292, 318?
348
What is the next term in 491, 533, 607, 719, 875?
1081
What is next in 41, 268, 869, 2030, 3937, 6776, 10733?
15994
What comes next: 27, 104, 225, 384, 575, 792, 1029?
1280
What comes next: -15921, -15922, -15923, -15924, -15925, -15926?
-15927
What is next in 11, 20, 31, 44?
59
What comes next: 3964, 3957, 3940, 3907, 3852?
3769
What is next in 972, 975, 978, 981, 984?
987
What is next in 7872, 7870, 7868, 7866, 7864, 7862?
7860
What comes next: 11143, 22285, 33427, 44569, 55711, 66853?
77995
What is next in 500, 483, 452, 401, 324?
215
What comes next: 2749, 2747, 2745, 2743?
2741
What comes next: 5, 80, 205, 380, 605, 880?
1205
What is the next term in -1750, -1728, -1692, -1642, -1578, -1500?
-1408
What is the next term in -31, -73, -129, -205, -307, -441, -613?
-829
What is next in -197, -404, -621, -854, -
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the hundred thousands digit of 8174967?
1
What is the thousands digit of 3510524?
0
What is the tens digit of 5748396?
9
What is the thousands digit of 22759?
2
What is the thousands digit of 5441444?
1
What is the thousands digit of 346008?
6
What is the hundreds digit of 582505?
5
What is the millions digit of 7212237?
7
What is the ten thousands digit of 167045?
6
What is the tens digit of 627928?
2
What is the hundred thousands digit of 214888?
2
What is the hundred thousands digit of 150333?
1
What is the hundreds digit of 5605972?
9
What is the hundreds digit of 1712393?
3
What is the units digit of 386975?
5
What is the hundreds digit of 19856?
8
What is the hundred thousands digit of 1014742?
0
What is the hundred thousands digit of 8932571?
9
What is the hundred thousands digit of 20977523?
9
What is the hundreds digit of 94236?
2
What is the thousands digit of 29771335?
1
What is the ten thousands digit of 57715?
5
What is the ten millions digit of 13777123?
1
What is the units digit of 837206?
6
What is the thousands digit of 1601845?
1
What is the thousands digit of 1218855?
8
What is the units digit of 2869292?
2
What is the ten millions digit of 14178341?
1
What is the hundreds digit of 86992?
9
What is the hundreds digit of 1436052?
0
What is the tens digit of 29647979?
7
What is the tens digit of 14605607?
0
What is the thousands digit of 103350?
3
What is the ten thousands digit of 16682244?
8
What is the thousands digit of 147063?
7
What is the ten thousands digit of 206761?
0
What is the ten thousands digit of 332913?
3
What is the units digit of 22500?
0
What is the tens digit of 560951?
5
What is the millions digit of 1022770?
1
What is the hundreds digit of 13357700?
7
What is the hundred thousands digit of 1057526?
0
What is the ten thousands digit of 82801?
8
What is the tens digit of 6391523?
2
What is the millions digit of 1474738?
1
What is the millions digit of 8868997?
8
What is the hundreds digit of 1882889?
8
What is the hundred thousands digit of 554034?
5
What is the units digit of 2118796?
6
What is the tens digit of 27559?
5
What is the thousands digit of 278057?
8
What is the hundred thousands digit of 1253647?
2
What is the units digit of 310689?
9
What is the units digit of 191060?
0
What is the tens digit of 41166?
6
What is the ten thousands digit of 4447202?
4
What is the tens digit of 2601406?
0
What is the ten thousands digit of 77629?
7
What is the ten thousands digit of 1630243?
3
What is the hundreds digit of 1501222?
2
What is the hundreds digit of 17137957?
9
What is the thousands digit of 1860932?
0
What is the tens digit of 3329375?
7
What is the hundred thousands digit of 6719014?
7
What is the hundreds digit of 1014618?
6
What is the ten thousands digit of 272359?
7
What is the millions digit of 6333150?
6
What is the ten thousands digit of 299387?
9
What is the units digit of 3586600?
0
What is the units digit of 3114985?
5
What is the ten thousands digit of 547035?
4
What is the millions digit of 2422561?
2
What is the units digit of 30207?
7
What is the tens digit of 153173?
7
What is the thousands digit of 597567?
7
What is the hundreds digit of 354222?
2
What is the millions digit of 6388879?
6
What is the hundreds digit of 11318997?
9
What is the hundred thousands digit of 124609?
1
What is the hundred thousands digit of 201442?
2
What is the hundred thousands digit of 9150891?
1
What is the tens digit of 39444?
4
What is the units digit of 163610?
0
What is the hundreds digit of 214560?
5
What is the ten thousands digit of 88334?
8
What is the units digit of 3188649?
9
What is the ten thousands digit of 641045?
4
What is the units digit of 13613746?
6
What is the millions digit of 10678277?
0
What is the units digit of 526945?
5
What is the millions digit of 1989529?
1
What is the ten thousands digit of 2353632?
5
What is the tens digit of 23441756?
5
What is the thousands digit of 452276?
2
What is the ten thousands digit of 138999?
3
What is the ten thousands digit of 2671187?
7
What is the ten thousands digit of 2549493?
4
What is the tens digit of 2987944?
4
What is the units digit of 12952127?
7
What is the ten thousands digit of 976302?
7
What is the units digit of 7108526?
6
What is the hundred thousands digit of 1802390?
8
What is the units digit of 56610?
0
What is the hundreds digit of 6503309?
3
What is the ten thousands digit of 3176272?
7
What is the hundred thousands digit of 474310?
4
What is the hundred thousands digit of 7171296?
1
What is the tens digit of 385779?
7
What is the units digit of 2286646?
6
What is the millions digit of 3912360?
3
What is the units digit of 988065?
5
What is the tens digit of 310259?
5
What is the thousands digit of 5547093?
7
What is the hundreds digit of 155355?
3
What is the thousands digit of 1059992?
9
What is the tens digit of 240840?
4
What is the hundreds digit of 1390293?
2
What is the hundreds digit of 1362044?
0
What is the hundreds digit of 1118671?
6
What is the ten thousands digit of 588252?
8
What is the ten thousands digit of 2941985?
4
What is the units digit of 905897?
7
What is the millions digit of 1008914?
1
What is the units digit of 2597143?
3
What is the hundreds digit of 1933396?
3
What is the ten thousands digit of 218741?
1
What is the millions digit of 4285470?
4
What is the thousands digit of 2290174?
0
What is the hundred thousands digit of 1357300?
3
What is the units digit of 2036680?
0
What is the tens digit of 43130?
3
What is the hundreds digit of 1623182?
1
What is the thousands digit of 81152?
1
What is the ten thousands digit of 1012878?
1
What is the thousands digit of 3311?
3
What is the units digit of 2061097?
7
What is the thousands digit of 2139976?
9
What is the ten thousands digit of 186631?
8
What is the tens digit of 5448426?
2
What is the tens digit of 7010121?
2
What is the thousands digit of 1121761?
1
What is the ten millions digit of 10298417?
1
What is the thousands digit of 3552016?
2
What is the thousands digit of 7613296?
3
What is the ten millions digit of 21090641?
2
What is the hundreds digit of 1063109?
1
What is the units digit of 1780496?
6
What is the thousands digit of 3488512?
8
What is the ten millions digit of 21027312?
2
What is the tens digit of 430174?
7
What is the thousands digit of 4234457?
4
What is the hundred thousands digit of 467489?
4
What is the tens digit of 1068232?
3
What is the thousands digit of 404463?
4
What is the hundred thousands digit of 1242439?
2
What is the tens digit of 6
|
{
"pile_set_name": "DM Mathematics"
}
|
d biggest value in m, j, n?
n
Let n = -0.54 + 9.74. Let c = -9 + n. What is the smallest value in 0.3, c, -0.04?
-0.04
Let m = 144 + -1300/9. Which is the third smallest value? (a) 2/15 (b) 0 (c) 3/4 (d) m
a
Let n = -1105 - -1398. Which is the smallest value? (a) 1/4 (b) 2/9 (c) -3/8 (d) n
c
Let f(x) = 4*x - 5. Let u(s) = 3*s - 4. Let g(k) = -4*f(k) + 5*u(k). Let y be g(-2). Which is the second biggest value? (a) 5/2 (b) 4/7 (c) y (d) -3/5
c
Let y = 248 + -251. What is the second smallest value in 5, 0.4, 2/113, y?
2/113
Let o be (4 + 9 + -7)/(4/2). Suppose 5*x - 4*f = 32, -2*f = 5*x - 0*f - 14. Suppose x = -k + o. Which is the smallest value? (a) k (b) -0.5 (c) 1
a
Let o = 6 + -3. Let m = o + -7. Let t = 49 - 48.6. What is the third biggest value in 0.1, t, m?
m
Let d = -1179 + 1178.5. Which is the third biggest value? (a) -0.3 (b) d (c) -53
c
Let i = -2 - 3. Let s = 0.328 + -133.328. Let y = 138 + s. Which is the smallest value? (a) y (b) -2 (c) i
c
Let g = -1/99 - -106/693. Which is the second smallest value? (a) 1/2 (b) -3 (c) 5 (d) g
d
Let d = -857 - -859. Let h = 0.05 - -3.95. Which is the third smallest value? (a) h (b) d (c) -2/53
a
Let b = 2 - -19. What is the third smallest value in -0.3, 0.4, b?
b
Let f = -196 + 196.1. Which is the second smallest value? (a) f (b) -1 (c) 1/6
a
Let i = 1 - 3. Let m be 147/i*5/(-10). Let q = 37 - m. Which is the smallest value? (a) -3 (b) -1 (c) q
a
Let w = 0.052 - -2.948. Let s = -8 - -8.3. What is the second smallest value in -2, s, w?
s
Let k(w) = -w**2 - 30*w - 2. Let j(t) = -t**2 - 60*t - 3. Let l(o) = 3*j(o) - 5*k(o). Let r be l(15). What is the second smallest value in 1/3, -4, r?
1/3
Let j(k) = -k**3 + 14*k**2 - 34*k + 5. Let q be j(11). Let n be 1 + 1/q + (-145)/150. What is the third biggest value in n, 1/7, 0?
n
Let f(x) = 3*x**2 - 34*x + 36. Let b be f(10). What is the second biggest value in 0.3, b, 1/2, -11?
0.3
Let o = 71 - 51. Let x = -142/7 + o. Which is the third smallest value? (a) 2/7 (b) 5 (c) x (d) -1
a
Let x = -498 + 510. What is the second smallest value in 0.1, -0.09, x, -0.2?
-0.09
Let u = -0.52 - -0.62. Which is the fourth smallest value? (a) 0.5 (b) -0.4 (c) 1 (d) u
c
Let p = 0.26 - 0.06. Let w = 0 - p. Suppose 5*y = v - 17, 4*v + 0*v = 5*y + 8. Which is the third biggest value? (a) w (b) 0.5 (c) v
c
Let s = 0.21 + 8.79. Let j(q) = q**2 - 4. Let v be j(3). What is the second smallest value in s, v, 0?
v
Let r = -22 + 36. Let d(h) be the third derivative of -h**4/24 + 3*h**3 - 6*h**2 - 1. Let l be d(r). Which is the smallest value? (a) 0.5 (b) -1 (c) l
b
Let f be (2/(-4))/(5/(-54)). Which is the biggest value? (a) -0.2 (b) f (c) -4
b
Let n(r) = 2*r - 3. Let m be n(4). Let f = 5075 - 5075.4. Which is the biggest value? (a) m (b) f (c) -0.3
a
Let p = -540896/15 - -35975. Let w = p + 251/3. Let g = 2/3 + w. Which is the smallest value? (a) g (b) 4 (c) -3
c
Let n = 181.7 + -182. What is the biggest value in n, 4, -245?
4
Let y = -656 - -653. Which is the second biggest value? (a) -3/7 (b) 0.1 (c) y
a
Let s = -0.1373 - 0.1627. What is the third biggest value in s, 0.3, -0.104, 0?
-0.104
Let i(j) = 3*j + 103. Let s be i(-35). What is the third biggest value in s, 3, 1?
s
Let t = -0.6387 - -0.1387. Let y = 0.02 + 1.98. Which is the second biggest value? (a) -0.3 (b) -1/4 (c) t (d) y
b
Let j(s) = 19*s**2 + 2*s - 5. Let a be j(-3). Let t be -4 + 0 - (-719)/a. Let i = t - 3/32. What is the second biggest value in 2, i, 1/4?
i
Let k(y) = 2*y - 21. Let r be k(12). Let o be (-2)/r*60/8. What is the third smallest value in o, -3, 1/3?
1/3
Let b = -0.935 - 27.065. Let l = 0.9 + -1.4. What is the second smallest value in -1/3, l, b?
l
Let q = 131.036 - 131. Let c = q - 4.036. Let b = -4.7 + 5. What is the third biggest value in b, c, 1/5?
c
Let l be (-10)/(-6)*-1 - -2. Let x = 0.24 - 3.24. Let r = 1568/5 - 314. What is the biggest value in l, r, x?
l
Let n = -948.43 - -953. Let u = -0.43 - n. What is the third biggest value in u, 4, -1/5?
u
Let c = -14 + 10. Let u = 6 + c. What is the smallest value in u, -0.7, 2/7?
-0.7
Let r = 7.09 - 0.09. Let t = -0.442 - -0.042. What is the third smallest value in r, 2/5, t?
r
Suppose -8*h = -6*h + 2*j + 8, 0 = 3*j. What is the smallest value in 5, 4, h, -1?
h
Let u = 33/28 + -13/14. Which is the third biggest value? (a) u
|
{
"pile_set_name": "DM Mathematics"
}
|
hen two letters picked without replacement from {m: 1, h: 3, s: 2, t: 1, p: 3, c: 1}?
3/55
Four letters picked without replacement from {e: 3, s: 2, m: 2, l: 6, y: 5}. Give prob of picking 1 l, 1 e, and 2 y.
1/17
What is prob of picking 1 t and 2 u when three letters picked without replacement from tututtttuuuututuut?
27/68
What is prob of picking 3 c and 1 k when four letters picked without replacement from {c: 3, k: 8}?
4/165
What is prob of picking 1 l and 1 p when two letters picked without replacement from {p: 2, h: 1, l: 1, z: 1, a: 5}?
2/45
What is prob of picking 2 s and 1 u when three letters picked without replacement from yyzuyzyusszzysssss?
7/136
Four letters picked without replacement from ozzdxcczqcq. Give prob of picking 2 q and 2 c.
1/110
Calculate prob of picking 2 n and 2 h when four letters picked without replacement from {h: 2, n: 4}.
2/5
Two letters picked without replacement from {e: 1, d: 2, a: 1, i: 1}. What is prob of picking 1 e and 1 i?
1/10
Three letters picked without replacement from nnfccfcnffcnfc. What is prob of picking 3 n?
1/91
Two letters picked without replacement from iimuigbi. What is prob of picking 1 g and 1 i?
1/7
Four letters picked without replacement from {c: 7, b: 6}. Give prob of picking 3 c and 1 b.
42/143
Calculate prob of picking 2 e when two letters picked without replacement from eeeeceeeeeeeeeeeee.
8/9
Calculate prob of picking 2 a and 2 t when four letters picked without replacement from {t: 9, a: 7}.
27/65
What is prob of picking 1 u, 1 s, and 1 b when three letters picked without replacement from uquusbq?
3/35
What is prob of picking 1 r, 1 v, and 2 s when four letters picked without replacement from rvvrrsvrs?
2/21
Four letters picked without replacement from {n: 2, s: 2, e: 1, x: 1, a: 5, l: 4}. What is prob of picking 1 a, 2 n, and 1 x?
1/273
Three letters picked without replacement from hhhuuuhuuuuhhhhh. Give prob of picking 3 u.
1/16
Two letters picked without replacement from {u: 1, d: 1, o: 3}. What is prob of picking 1 d and 1 u?
1/10
Two letters picked without replacement from nxtzk. What is prob of picking 1 t and 1 x?
1/10
Three letters picked without replacement from {b: 1, h: 1, v: 1, o: 2, l: 1, w: 1}. Give prob of picking 1 b, 1 w, and 1 o.
2/35
Four letters picked without replacement from iiuoa. Give prob of picking 1 a, 1 i, 1 o, and 1 u.
2/5
Four letters picked without replacement from jyjevekekheejyjkeh. What is prob of picking 1 e, 1 v, 1 y, and 1 j?
4/255
Two letters picked without replacement from {l: 4, y: 3}. Give prob of picking 2 l.
2/7
Three letters picked without replacement from pjuuuuuujobuuuuoupu. Give prob of picking 1 u, 1 j, and 1 b.
8/323
Four letters picked without replacement from {f: 1, g: 3}. What is prob of picking 1 g and 3 f?
0
Two letters picked without replacement from {q: 5, y: 5}. What is prob of picking 2 q?
2/9
Three letters picked without replacement from iiiiaiiaiiiiiiaiaiii. What is prob of picking 2 a and 1 i?
8/95
Two letters picked without replacement from iitiiikiikiiii. What is prob of picking 2 k?
1/91
Four letters picked without replacement from kbkkrkgxbkkkkrxkyx. Give prob of picking 1 y, 1 k, 1 r, and 1 b.
1/85
What is prob of picking 2 p when two letters picked without replacement from bxibbpbpbbxpxpipb?
5/68
What is prob of picking 3 q and 1 a when four letters picked without replacement from qqqqqqqaqaaqqqqq?
33/70
Three letters picked without replacement from {l: 4}. What is prob of picking 3 l?
1
What is prob of picking 2 p when two letters picked without replacement from {c: 7, p: 7}?
3/13
Four letters picked without replacement from jqiuji. What is prob of picking 1 j, 1 u, 1 i, and 1 q?
4/15
Three letters picked without replacement from gxvnnvkr. Give prob of picking 1 n, 1 v, and 1 g.
1/14
Two letters picked without replacement from {s: 2, k: 16}. What is prob of picking 2 s?
1/153
Two letters picked without replacement from {s: 2, i: 4, x: 4, k: 6, e: 1}. What is prob of picking 1 x and 1 s?
1/17
Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {q: 1, h: 2, l: 5, a: 4, k: 2}.
8/91
Two letters picked without replacement from uujjuuuuuuuuuuuuuu. What is prob of picking 2 u?
40/51
Calculate prob of picking 2 x and 1 r when three letters picked without replacement from {x: 2, r: 1, v: 2, a: 2, b: 1}.
1/56
Three letters picked without replacement from {d: 3, v: 1, n: 5, b: 3}. What is prob of picking 2 b and 1 d?
9/220
Two letters picked without replacement from ttsmssqtstttssst. What is prob of picking 1 m and 1 q?
1/120
Four letters picked without replacement from uuuu. What is prob of picking 4 u?
1
What is prob of picking 1 z, 2 p, and 1 b when four letters picked without replacement from zzpbbbpbpbzz?
4/33
What is prob of picking 1 n and 1 s when two letters picked without replacement from ubsbngnsuenbs?
3/26
Two letters picked without replacement from {g: 1, f: 4, s: 2, k: 6, d: 2}. Give prob of picking 1 g and 1 f.
4/105
Two letters picked without replacement from {f: 2, y: 1}. What is prob of picking 1 y and 1 f?
2/3
What is prob of picking 1 y and 1 r when two letters picked without replacement from {u: 1, k: 2, g: 1, r: 1, y: 2}?
2/21
What is prob of picking 2 a when two letters picked without replacement from vaa?
1/3
Four letters picked without replacement from {w: 9, d: 2, k: 2}. What is prob of picking 2 w and 2 k?
36/715
Calculate prob of picking 3 o and 1 h when four letters picked without replacement from uaoyhawooyhahwwh.
1/455
What is prob of picking 1 q and 1 d when two letters picked without replacement from {d: 3, c: 1, q: 1}?
3/10
Calculate prob of picking 3 m and 1 f when four letters picked without replacement from mfffmmmmmmmfmm.
480/1001
Two letters picked without replacement from {h: 4, e: 3, q: 1}. What is prob of picking 2 h?
3/14
Four letters picked without replacement from lgnvngyyvvyz. Give prob of picking 2 g, 1 y, and 1 n.
2/165
Calculate prob of picking 1 t and 2 m when three letters picked without replacement from mmmmttmmmm.
7/15
What is prob of picking 2 z and 1 t when three letters picked without replacement from {t: 3, z: 2}?
3/10
What is prob of picking 2 a and 1 d when three letters picked without replacement from tmaud?
0
What is prob of picking 1 x and 1 l when two letters picked without replacement from xxxxxlxxzlllx?
16/39
What is prob of picking 2 y when two letters picked without replacement from yhsyryhrrrrsrrr?
1/35
What is prob of picking 1 e and 3 f when four letters picked without replacement from {u: 1, e: 3, f: 3}?
3/35
Calculate prob of picking 2 t and 2 k when four
|
{
"pile_set_name": "DM Mathematics"
}
|
e
Does 39 divide 447290727?
True
Is 6708 a factor of 362565080?
False
Is 23277961 a multiple of 571?
False
Is 199788653 a multiple of 127?
True
Is 28 a factor of 63341096?
True
Is 37319595 a multiple of 7?
False
Does 374 divide 904649014?
False
Does 4788 divide 160259148?
True
Is 41418762 a multiple of 17?
False
Is 55977153 a multiple of 1517?
False
Is 17 a factor of 3562989?
False
Does 33 divide 453477675?
False
Is 321311657 a multiple of 31?
False
Is 1016970402 a multiple of 5586?
True
Is 635852886 a multiple of 17?
False
Is 22649004 a multiple of 42?
True
Is 31706428 a multiple of 52?
True
Is 7671616 even?
True
Does 627 divide 11428329?
True
Is 30561300 a multiple of 900?
True
Does 135 divide 24993225?
True
Is 2083731266 a multiple of 5716?
False
Does 241 divide 159759180?
False
Is 715 a factor of 440555115?
True
Does 36 divide 243253600?
False
Does 183 divide 35023455?
True
Is 63 a factor of 2205716184?
True
Does 1006 divide 9039916?
True
Is 22934631 a multiple of 3?
True
Is 8293 a factor of 1370517766?
True
Is 994 a factor of 443708678?
True
Is 1054 a factor of 672996461?
False
Is 770 a factor of 36377344?
False
Is 11575298 a multiple of 5?
False
Does 67 divide 18342255?
True
Does 820 divide 75601540?
True
Does 60 divide 1896030092?
False
Does 1260 divide 11041380?
True
Does 97 divide 73028626?
False
Does 16 divide 80347602?
False
Does 46 divide 749404366?
False
Is 25 a factor of 27398225?
True
Is 5 a factor of 1185644071?
False
Does 271 divide 76162783?
False
Is 85 a factor of 4658151725?
True
Does 44 divide 13152392?
True
Is 472650676 a multiple of 90?
False
Is 26 a factor of 20270058?
False
Is 28068460 a multiple of 7?
True
Is 9 a factor of 133378070?
False
Is 66247644 a multiple of 3?
True
Is 17 a factor of 206694376?
False
Does 4013 divide 76888026?
False
Is 346131213 a multiple of 265?
False
Is 2058056492 a multiple of 6?
False
Is 1135339956 a multiple of 37?
False
Is 869824181 a multiple of 1761?
False
Is 118 a factor of 49427143?
False
Is 205928580 a multiple of 15?
True
Is 74560852 a multiple of 3453?
False
Is 31 a factor of 279968068?
True
Is 1114600681 a multiple of 9707?
False
Is 284627148 a multiple of 2590?
False
Does 15 divide 208403408?
False
Is 22886587 a multiple of 226?
False
Is 2067833610 a multiple of 310?
True
Does 57 divide 262188598?
False
Is 1993669 a multiple of 2?
False
Is 205817664 a multiple of 416?
True
Is 4 a factor of 15241361?
False
Is 663 a factor of 416981916?
True
Does 10 divide 511064275?
False
Is 29 a factor of 25545550?
False
Does 111 divide 1741722212?
False
Is 551937215 a multiple of 5?
True
Does 19 divide 22708914?
True
Does 23 divide 68657852?
True
Is 2799 a factor of 3783080817?
True
Is 17 a factor of 618391860?
False
Does 26 divide 1161834154?
True
Is 71863112 a multiple of 973?
False
Is 37 a factor of 1935137?
True
Does 419 divide 667291817?
False
Is 51979220 a multiple of 63?
False
Is 394767363 a multiple of 1513?
False
Does 76 divide 30312556?
False
Does 1185 divide 177933185?
False
Is 209 a factor of 99877342?
False
Is 247611067 a multiple of 407?
True
Does 18 divide 14275764?
True
Does 13 divide 103385665?
False
Is 418072703 a multiple of 5644?
False
Is 2281625049 a multiple of 1030?
False
Is 151811973 a multiple of 924?
False
Is 24971994 a multiple of 2084?
False
Does 104 divide 3309738848?
True
Does 105 divide 29050875?
True
Does 6 divide 244771260?
True
Does 239 divide 692876001?
False
Is 850 a factor of 305172950?
True
Is 2235 a factor of 934527255?
True
Is 275 a factor of 116539225?
True
Does 45 divide 22200319?
False
Is 22413110 a multiple of 12?
False
Is 17 a factor of 441803956?
True
Is 38 a factor of 99862176?
True
Is 583098875 a multiple of 10203?
False
Does 493 divide 503937698?
True
Does 1255 divide 89087430?
True
Does 2428 divide 33054792?
True
Is 27 a factor of 257906916?
True
Is 5 a factor of 179970?
True
Does 9 divide 78215658?
False
Is 2867212816 a multiple of 47?
True
Is 20 a factor of 34622020?
True
Is 13 a factor of 5319951?
True
Is 2321 a factor of 905702941?
True
Does 204 divide 3487112964?
True
Is 46641325 a multiple of 48?
False
Is 41156985 a multiple of 32?
False
Does 26 divide 4373356?
True
Does 2188 divide 151203722?
False
Is 924 a factor of 67568424?
True
Does 168 divide 15794520?
True
Does 17 divide 1144326111?
False
Is 55249222 a multiple of 9?
False
Is 30 a factor of 61510530?
True
Is 54419586 a multiple of 30?
False
Is 1274 a factor of 647212384?
True
Is 71 a factor of 1123870458?
False
Does 5731 divide 842137064?
False
Does 183 divide 1714087068?
True
Is 221 a factor of 18921357?
True
Is 157488029 a multiple of 88?
False
Is 1774622178 a multiple of 18?
True
Does 408 divide 2622740106?
False
Does 20 divide 52919374?
False
Is 1209 a factor of 136429605?
True
Is 148097417 a multiple of 66?
False
Is 17574560 a multiple of 14?
False
Is 63612164 a multiple of 63?
False
Is 3760 a factor of 46808573?
False
Is 1979832 a multiple of 4?
True
Is 447897665 a multiple of 644?
False
Does 818 divide 2941451926?
True
Is 606 a factor of 16434720?
True
Is 56248743 a multiple of 20?
False
Does 49 divide 48005888?
True
Is 7334 a factor of 1453743819?
False
Is 172474640 a multiple of 10?
True
Is 1561320246 a multiple of 2576?
False
Does 16 divide 981830153?
False
Is 1988976906 a multiple of 18?
True
Is 21 a factor of 1101649899?
True
Does 1191 divide 1940796455?
False
Is 27 a factor of 43487045?
False
Is 137 a factor of 6565177?
True
Is 29 a factor of 357548?
False
Does 21 divide 17815755?
False
Is 156 a factor of 358251660?
True
Does 232 divide 107675756?
False
Is 991 a factor of 3374793160?
False
Does 6 divide 100634532?
True
Does 2631 divide 2774081673?
True
Is 519846912 a multiple of 288?
True
Is 924614658 a multiple of 16?
False
Is 106 a factor of 42783231?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
+ o**5/5 + 5*o**4/8 - 2*o**3/3 + 185*o**2. Calculate n(13).
22
Let l be 1 + 6 + -4 - 1. Suppose c - 5 = -5*s, 8 = l*c + 5*s + 3. Let d(f) = f**3 - f**2 + f - 10. What is d(c)?
-10
Let k(p) = p**2 - 4*p + 1. Suppose 5*o = 3*x + 6, -11*o = -3*x - 7*o - 3. Determine k(x).
-2
Let p(i) = -6*i**3. Suppose 0*f + 3 = -3*f - 3*z, -4*f + 2*z + 26 = 0. Suppose -3 = -f*o + 1. What is p(o)?
-6
Let v be -3*((-15)/9 + 4). Let k(o) be the second derivative of -8*o + 1/3*o**3 + 5/2*o**2 + 0. Give k(v).
-9
Let d(i) be the first derivative of -i**3/2 + 3*i**2 - i - 11. Let r(w) be the first derivative of d(w). Give r(4).
-6
Let w(d) = d**3 + 5*d**2 + 3*d - 3. Suppose -8 + 32 = 3*a. Suppose -9*p + a*p = -5. Suppose 3*c + 3 = -p*g, 4*c = -4 + 20. What is w(g)?
6
Let f = 277 + -271. Let x(m) = m**2 - 8*m + 4. Give x(f).
-8
Let c(o) = -12*o**3 - 1. Let x(r) = r**2 + r - 2. Let n be x(-4). Let v(j) = -j**2 + 9*j + 9. Let d be v(n). Give c(d).
11
Suppose 2*u + 0*u - 20 = 0. Suppose 6*y - 4*y - u = 0. Let g(s) = s - 5. Calculate g(y).
0
Let g(y) be the third derivative of -1/12*y**5 + 1/6*y**3 - 1/120*y**6 + 0 + 5*y**2 - 1/24*y**4 + 0*y. Suppose 2*t + 2 = -8. Calculate g(t).
6
Let b = -244 - -252. Let z(u) = u**3 - 9*u**2 + 11*u - 12. What is z(b)?
12
Suppose 6*o - 2*o = 20. Let i(t) = -6 + 3*t + 2 + o. Let n(k) = -k + 1. Let g(m) = i(m) + 6*n(m). What is g(5)?
-8
Let q(p) = p - 1. Let d = -145 + 150. Calculate q(d).
4
Let l(o) = 11 - 4*o + 4 - 6 - 4*o + 7*o. Let n be (1/(-2))/(-1)*0. Calculate l(n).
9
Let d(u) = -u**2 - 3*u + 6. Suppose -9*x - 4 = -4. Let r be d(x). Let f(p) = p**2 - 5*p - 3. Determine f(r).
3
Let n(a) = -a**2 + 7*a + 11. Let s be n(8). Suppose -6*l + s*l = 15. Let z be 1/(-2)*0 + l. Let g(i) = -i**2 - 3*i + 5. Give g(z).
-5
Let h be (-17 + 17)/(-3*1). Suppose 2*w + 3*w + y - 35 = h, -5*y = -25. Let r(l) = -1 + l**3 - 3*l - 2*l - w*l**2 + 7 + 3*l. Calculate r(6).
-6
Let w(h) = h + 2. Let l = -16 - -18. Suppose -3 + 7 = -l*n. Give w(n).
0
Let v(h) = -16 + 39*h - 31*h - 20. Let w be v(4). Let y(a) = -a**2 - 4*a + 4. Calculate y(w).
4
Let h(k) = k**3 + 6*k**2 + 3*k - 7. Let n be (-210)/(-21)*2/(-4). Give h(n).
3
Let y(p) = -2*p + 14. Let u be y(4). Suppose u*z - 12 = 10*z. Let r(v) = 5*v - 1. Let h(g) = -1. Let w(m) = -4*h(m) + r(m). Give w(z).
-12
Suppose -9*d = -477 + 432. Let w(r) = 3*r + 6. Give w(d).
21
Let g(d) be the first derivative of -d**4/4 - d**3/3 - 13*d + 334. Calculate g(0).
-13
Let j(l) = l**3 + 2*l**2 - 5*l + 3. Let i(s) = s - 18. Let f be i(21). Determine j(f).
33
Suppose 71 - 247 = 4*k. Let g be (-11)/k + 38/8. Suppose -21 = 3*o + 4*p, 5 = -g*o - p - 13. Let f(q) = q**2 + 4*q - 1. Determine f(o).
-4
Let z(o) = 4 - 1 - 7*o + 14*o + o**2 + 1. Suppose 0 = 3*k + 2*g + 26, -14 = 3*k - 2*g + g. What is z(k)?
-2
Let w(p) be the first derivative of -5*p - 1/3*p**3 - 22 - 3/2*p**2. Let q(n) = -n - 2. Let l be q(2). What is w(l)?
-9
Suppose 5*f - 7 - 8 = -5*k, 9 = -5*f + k. Let m(w) = -3*w + 2. Let a(t) = 2*t - 1. Let q(h) = -8*a(h) - 5*m(h). Determine q(f).
-1
Let n(f) = 19 - 36 + 16. Let c(w) = w + 4. Let r(q) = -c(q) - 6*n(q). Give r(2).
0
Suppose -6 = -x - 9. Suppose -3*n + 7*n = 8. Let u(v) = 2*v - 4 + 3 + 4*v**n - 3*v**2. Determine u(x).
2
Let a(m) = 5*m - 4. Let q(g) = -4*g + 4. Let b(l) = 5*a(l) + 6*q(l). Let n be (138/(-15))/2 + 2/(-5). Determine b(n).
-1
Suppose 9 = 3*p + 3. Suppose 4*t - 33 = -j, j + p*j + 2*t = 79. Suppose -4*h - h = j. Let w(q) = q**2 + 2*q - 6. What is w(h)?
9
Let j(n) = -2*n**3 + 3*n**2 - 2*n + 2. Let z(f) = 7*f - 68. Let d be z(10). What is j(d)?
-6
Let p be -1 + -4 - (2 - 1). Let l be p/8*4/(-6)*12. Let i(b) = -b**2 + 7*b - 5. Calculate i(l).
1
Let q(j) = -j**2 - 6*j - 1. Let o be (-2)/(4 - 2)*-4. Let v(b) = 5*b + b**3 + 4 - 4*b + 1 - 5*b**2 + b. Let w be v(o). Give q(w).
8
Let q(a) be the second derivative of -1/3*a**3 - 23*a - 1/12*a**4 - a**2 + 0. Determine q(-3).
|
{
"pile_set_name": "DM Mathematics"
}
|
b) = 6*b. Let s(z) = -z**2 - 13*z - 13. Let y be s(-12). Calculate o(y).
-6
Let n(g) = g - 2. Let o be (36/10)/((-6)/(-20)). Let p be 8/(-3)*(-18)/o. What is n(p)?
2
Let t(r) = 5*r - 1 - 6*r - 2*r. Let a(p) = 2*p**2 + 1 - p**2 - p + 0*p**2 - 3*p. Let w be a(4). Give t(w).
-4
Let r be 26/(-22) - (-5)/((-55)/(-2)). Let b(s) = -5*s**2 - 1. Calculate b(r).
-6
Let n(u) = -9*u - 25. Let x(p) = 5*p + 13. Let m(g) = 6*n(g) + 11*x(g). Determine m(5).
-2
Suppose -2*s = c + 3, -4*c + 0 + 10 = -3*s. Let j be (1 + 3)*s/(-4). Let v be (1 + 5)*j/(-3). Let z(w) = -w**2 - 5*w - 2. Determine z(v).
2
Let o(t) be the first derivative of -4*t**3 + t**2/2 - t - 16. What is o(1)?
-12
Let z(s) = -4 + 40*s - 86*s - s**2 + 40*s. Determine z(-3).
5
Let d(h) = -h**3 - 5*h**2 - 2*h + 5. Suppose -2*t + t - 4 = 0. Give d(t).
-3
Let v(b) = -b**2 - 7*b + 2. Suppose -10*z + 3*z - 35 = 0. Determine v(z).
12
Let i(f) = 7*f + 3 + 3 - 12*f + 7*f. Give i(-6).
-6
Let m(f) = f**2 + 6*f - 1. Let c = -10 - -13. Let s(a) = -a - 3. Let w be s(c). Determine m(w).
-1
Let a(g) = g - 7. Let i be a(6). Let y(v) be the first derivative of v**3/3 + v**2/2 - 1. Let m(q) = 18*q**2 + 9*q. Let o(p) = -m(p) + 9*y(p). Give o(i).
-9
Suppose -2 = -4*p - 6. Let b(r) = r**3 + 6*r**2 - 5. Let w(s) = -3*s**3 + 3 - 3 + s**3 + 9 - 11*s**2. Let h(y) = 11*b(y) + 6*w(y). Determine h(p).
0
Let g(m) = -4. Let h(w) = -w. Let d(b) = -g(b) + 4*h(b). Let j be -6*1*(-1)/2. Calculate d(j).
-8
Let x(g) = -4*g + 3. Let a(c) be the third derivative of c**5/60 + c**4/24 + c**3/2 + c**2. Let j be a(0). Give x(j).
-9
Let i(j) be the third derivative of j**5/15 - j**3/3 + 13*j**2. Give i(2).
14
Suppose -5*i + 18 = -h, -4*i + 0*i + 6 = -5*h. Let g(b) be the second derivative of h*b - 4/3*b**3 + 1/2*b**2 + 0. Give g(1).
-7
Let r(p) be the second derivative of p + 0 + 1/6*p**3 + 4*p**2. Let i(h) = 3*h + 25. Let w(a) = -2*i(a) + 7*r(a). What is w(-5)?
1
Let u(g) = -g**2 - g - 1. Let i be 0 + (2 - 0) + -9. Let n(b) = -b - 7. Let k be n(i). Determine u(k).
-1
Let u(w) = -w**2 - 6*w + 1. Suppose g + 32 = -4*y, -3*y - g + 0*g - 25 = 0. Give u(y).
-6
Let y(o) = -o**2 - o - 1. Let w(t) = t**2 + 2*t + 4. Let j(n) = w(n) + 4*y(n). Suppose k - 3 = -5. Calculate j(k).
-8
Let s(b) = b**2 - 4. Let c be ((-4)/5)/(3/15). Calculate s(c).
12
Suppose 3*w - 12 = -3. Let f(j) = 10 + 7*j + 7*j**2 + j + 10*j**3 - 9*j**w - 2. Determine f(-6).
-4
Let w = -35/2 + 18. Let m(s) be the first derivative of -w*s**4 + 0*s**2 - s**3 + s + 2. Give m(-2).
5
Let k(m) = m**3 + 4*m**2. Suppose -n + 8 = 5. Suppose 2*l = -n*l - 20. Let v be k(l). Let q(y) = -y**2 - 2. Calculate q(v).
-2
Let s(g) be the first derivative of g**3 + g**2/2 - g + 13. Determine s(1).
3
Let t(b) = -3*b + 1. Suppose 0*l + 5*n = -l - 23, -4*l + 23 = -3*n. Give t(l).
-5
Let h(n) = 0*n - 2*n + 3*n**2 + n**3 + 2*n - 4*n. Let s = 0 + 1. Let p be ((-2 - -3)*-4)/s. Give h(p).
0
Suppose 4*r - 9 = r. Let t(f) = -9*f**r + f + 0*f + 10*f**3 + f + f**2. Determine t(-2).
-8
Suppose 4*b = 2*b + 8. Suppose 0*v + 3*w + 5 = 4*v, -17 = 5*v + b*w. Let k(r) be the second derivative of -3*r**5/20 + r**4/12 + r. Calculate k(v).
4
Let p(w) = 7*w + 13. Let n(i) = 11*i + 19. Let z(q) = -q**3 - 9*q**2 + 1. Let d be z(-9). Let t be ((-10)/25)/(d/20). Let j(r) = t*p(r) + 5*n(r). Give j(-6).
-3
Suppose -2*i + 6 = -4. Suppose 4*b + 25 = i*j - 5, -3*b = j + 13. Let n(m) = m**2 + 2*m - 2. Give n(j).
6
Let t = 1 - 1. Suppose t = -0*l + l + 5. Let f(w) be the second derivative of -w**5/20 - 5*w**4/12 - w**3/6 + w**2/2 - 28*w. Calculate f(l).
6
Let d(w) = w**2 - 3*w + 3. Suppose 0 = 4*u + 1 - 17. Calculate d(u).
7
Let i(m) = m**2 + 4*m + 5. Let j(q) = -2*q**2 - 7*q - 9. Let c(s) = -11*i(s) - 6*j(s). What is c(3)?
2
Let g(z) be the third derivative of -z**5/60 - z**4/4 + z**3/2 - 24*z**2. Calculate g(-7).
-4
Suppose 5*t - 16 = 4*t. Suppose -2 = o + 2*i, -2*o + 4*o - t = i. Let j(r) be the second derivative of -r**3/
|
{
"pile_set_name": "DM Mathematics"
}
|
or of 2 and 25?
1
Calculate the highest common divisor of 1417 and 109.
109
Calculate the highest common factor of 207 and 36.
9
What is the highest common factor of 77 and 1001?
77
What is the highest common factor of 95 and 15?
5
Calculate the greatest common divisor of 17897 and 11.
11
Calculate the greatest common divisor of 81 and 135.
27
What is the greatest common divisor of 320 and 180?
20
Calculate the greatest common divisor of 29 and 1943.
29
Calculate the greatest common divisor of 110 and 1782.
22
Calculate the highest common factor of 58 and 12557.
29
What is the highest common divisor of 98 and 287?
7
What is the greatest common factor of 24 and 1792?
8
What is the highest common factor of 108 and 171?
9
What is the greatest common divisor of 106 and 2?
2
Calculate the highest common divisor of 244 and 305.
61
Calculate the greatest common factor of 624 and 6.
6
Calculate the highest common divisor of 30 and 1830.
30
Calculate the greatest common factor of 1 and 487.
1
What is the highest common divisor of 71 and 1136?
71
Calculate the highest common divisor of 51379 and 191.
191
What is the greatest common divisor of 1024 and 288?
32
Calculate the highest common divisor of 46283 and 31.
31
Calculate the highest common divisor of 50 and 1150.
50
What is the greatest common divisor of 414 and 18?
18
What is the highest common divisor of 31 and 2015?
31
Calculate the greatest common factor of 256 and 160.
32
What is the highest common factor of 2964 and 1596?
228
Calculate the highest common divisor of 75 and 915.
15
What is the highest common divisor of 2130 and 210?
30
What is the greatest common divisor of 319 and 261?
29
Calculate the greatest common divisor of 1040 and 30.
10
What is the highest common factor of 12 and 210?
6
Calculate the greatest common factor of 78 and 273.
39
What is the highest common divisor of 234 and 65?
13
Calculate the highest common divisor of 249 and 7387.
83
Calculate the highest common divisor of 1485 and 55.
55
What is the highest common divisor of 595 and 350?
35
Calculate the highest common factor of 35 and 140.
35
Calculate the greatest common factor of 2613 and 78.
39
Calculate the highest common divisor of 600 and 210.
30
Calculate the highest common divisor of 1248 and 234.
78
Calculate the greatest common factor of 221 and 39.
13
Calculate the highest common factor of 14 and 3661.
7
What is the greatest common factor of 79 and 5?
1
Calculate the greatest common factor of 4320 and 72.
72
What is the highest common divisor of 18 and 1962?
18
What is the highest common factor of 16 and 13712?
16
Calculate the greatest common factor of 4 and 122.
2
Calculate the highest common factor of 1752 and 32.
8
Calculate the greatest common factor of 2941 and 17.
17
Calculate the greatest common divisor of 49 and 28.
7
What is the greatest common factor of 24 and 552?
24
What is the highest common factor of 31 and 279?
31
What is the greatest common divisor of 21 and 35?
7
What is the greatest common divisor of 174 and 6?
6
What is the highest common divisor of 44 and 32?
4
Calculate the greatest common factor of 903 and 105.
21
What is the greatest common divisor of 976 and 61?
61
What is the highest common factor of 110 and 350?
10
What is the greatest common factor of 208 and 32?
16
Calculate the highest common divisor of 684 and 152.
76
What is the highest common divisor of 414 and 2116?
46
Calculate the highest common divisor of 17 and 18173.
17
Calculate the highest common divisor of 243 and 36.
9
Calculate the greatest common factor of 91 and 325.
13
Calculate the highest common factor of 29824 and 128.
128
What is the highest common divisor of 3652 and 22?
22
Calculate the greatest common divisor of 19 and 57.
19
What is the greatest common factor of 696 and 96?
24
Calculate the highest common factor of 9936 and 18.
18
Calculate the greatest common divisor of 18 and 708.
6
What is the greatest common factor of 35 and 77?
7
Calculate the highest common divisor of 406 and 116.
58
What is the greatest common factor of 88 and 2156?
44
Calculate the greatest common factor of 171 and 95.
19
What is the greatest common factor of 3424 and 642?
214
What is the highest common divisor of 954 and 1219?
53
What is the greatest common divisor of 84 and 63?
21
What is the greatest common factor of 620 and 62?
62
What is the highest common divisor of 11 and 7601?
11
Calculate the highest common divisor of 2279 and 424.
53
Calculate the greatest common divisor of 425 and 17.
17
What is the highest common factor of 34 and 986?
34
What is the greatest common factor of 8694 and 6?
6
What is the greatest common factor of 128 and 320?
64
Calculate the highest common factor of 116 and 14.
2
Calculate the highest common divisor of 58 and 34.
2
What is the greatest common divisor of 90 and 1035?
45
Calculate the greatest common divisor of 784 and 16.
16
Calculate the highest common divisor of 18 and 8958.
6
Calculate the greatest common factor of 336 and 21.
21
Calculate the greatest common divisor of 41 and 13817.
41
What is the greatest common factor of 1331 and 33?
11
Calculate the highest common factor of 59 and 2.
1
What is the highest common divisor of 42 and 8862?
42
What is the highest common factor of 6244 and 84?
28
What is the highest common factor of 98 and 406?
14
Calculate the greatest common divisor of 1 and 9.
1
What is the highest common divisor of 8889 and 3?
3
Calculate the highest common divisor of 68 and 36074.
34
What is the greatest common factor of 126 and 1638?
126
Calculate the greatest common factor of 77 and 371.
7
Calculate the highest common divisor of 910 and 130.
130
Calculate the highest common divisor of 52 and 182.
26
Calculate the greatest common divisor of 32 and 928.
32
What is the highest common divisor of 11615 and 46?
23
Calculate the highest common divisor of 3242 and 2.
2
Calculate the greatest common divisor of 26 and 13.
13
What is the greatest common factor of 512 and 352?
32
What is the greatest common factor of 3 and 687?
3
Calculate the greatest common divisor of 2 and 1298.
2
What is the highest common factor of 231 and 495?
33
What is the highest common divisor of 820 and 20?
20
Calculate the greatest common divisor of 7584 and 576.
96
What is the highest common factor of 147 and 245?
49
What is the highest common factor of 42 and 12?
6
What is the highest common divisor of 2759 and 2047?
89
What is the highest common factor of 294 and 52?
2
What is the highest common factor of 1683 and 99?
99
What is the greatest common factor of 40 and 15?
5
Calculate the highest common factor of 848 and 1961.
53
Calculate the greatest common divisor of 20 and 1250.
10
Calculate the greatest common factor of 380 and 608.
76
Calculate the highest common factor of 3267 and 33.
33
What is the greatest common factor of 306 and 561?
51
Calculate the greatest common factor of 400 and 16.
16
Calculate the greatest common divisor of 13 and 4966.
13
Calculate the highest common divisor of 280 and 1170.
10
What is the highest common divisor of 19312 and 272?
272
What is the greatest common divisor of 1029 and 14?
7
What is the greatest common divisor of 12 and 124?
4
Calculate the highest common factor of 10 and 670.
10
Calculate the greatest common factor of 231 and 42.
21
Calculate the highest common divisor of 20 and 3750.
10
Calculate the greatest common factor of 182 and 224.
14
What is the greatest common divisor of 114 and 1653?
57
What is the greatest common divisor of 48 and 72?
24
What is the highest common factor of 62 and 279?
31
Calculate the highest common divisor of 6 and 6378.
6
Calculate the highest common divisor of 15 and 105.
15
What is the greatest common divisor of 10 and 8180?
10
Calculate the greatest common factor of 799 and 34.
17
What is the highest common divisor of 204 and 276?
12
What is the highest common divisor of 13 and 793?
13
Calculate the greatest common divisor of 308 and 224.
28
What is the greatest common divisor of 3
|
{
"pile_set_name": "DM Mathematics"
}
|
ple of 219?
True
Is 904 a factor of 449254780?
False
Is 13851792 a multiple of 2?
True
Is 201 a factor of 1077361608?
True
Is 9645 a factor of 2038647022?
False
Is 169060514 a multiple of 1005?
False
Does 55 divide 1661793980?
True
Is 10 a factor of 4893160?
True
Is 16468720 a multiple of 80?
True
Does 191 divide 22838856?
False
Does 5044 divide 707168800?
True
Does 161 divide 259572169?
False
Is 1091 a factor of 282569529?
False
Is 42508039 a multiple of 257?
False
Is 1568 a factor of 730908318?
False
Is 34 a factor of 172118826?
False
Is 5 a factor of 6321076?
False
Does 253 divide 381325395?
True
Does 1484 divide 243879076?
True
Does 5633 divide 556686858?
True
Is 13 a factor of 491675247?
False
Does 981 divide 8410268?
False
Is 25439940 a multiple of 3?
True
Is 7 a factor of 334115621?
True
Is 13906536 a multiple of 366?
True
Does 1060 divide 308412300?
True
Does 4278 divide 363596365?
False
Is 19527322 a multiple of 3?
False
Is 54551926 a multiple of 144?
False
Does 7500 divide 1021321375?
False
Is 932 a factor of 40729332?
True
Is 124 a factor of 41938900?
False
Does 5139 divide 2361309065?
False
Is 12046487 a multiple of 3?
False
Is 243 a factor of 14611833?
True
Does 51 divide 1317349?
False
Is 78 a factor of 44961306?
True
Is 16760472 a multiple of 164?
True
Is 2189 a factor of 10283922?
True
Does 1276 divide 182009883?
False
Does 24 divide 15216221?
False
Does 69 divide 16312479?
False
Is 207228318 a multiple of 66?
True
Is 320 a factor of 454072789?
False
Is 55105932 a multiple of 84?
True
Is 71 a factor of 13632355?
True
Is 527 a factor of 1294919104?
True
Does 23 divide 1691712?
False
Is 58372317 a multiple of 2931?
False
Does 73 divide 57311862?
True
Is 30 a factor of 178923990?
True
Is 249214776 a multiple of 12?
True
Is 409 a factor of 154114523?
False
Is 44282476 a multiple of 49?
True
Is 262754822 a multiple of 2882?
True
Does 3388 divide 1128578701?
False
Is 286202591 a multiple of 1044?
False
Is 19 a factor of 136137698?
True
Does 4083 divide 75945327?
False
Is 506 a factor of 3893041548?
True
Is 21 a factor of 14714364?
True
Is 1497236471 a multiple of 161?
False
Is 5 a factor of 45728098?
False
Is 136392554 a multiple of 11?
False
Is 37 a factor of 16013818?
False
Does 150 divide 78951172?
False
Is 651911130 a multiple of 234?
True
Is 926973183 a multiple of 28?
False
Is 72 a factor of 299802888?
True
Is 46200694 a multiple of 142?
True
Does 2 divide 7955650?
True
Is 447323203 a multiple of 3347?
True
Is 722960357 a multiple of 1964?
False
Is 1100422 a multiple of 2?
True
Does 11 divide 6254435?
True
Is 116428 a multiple of 26?
True
Does 313 divide 17726129?
True
Does 29 divide 19145655?
True
Does 31 divide 307371045?
True
Is 2664740678 a multiple of 2053?
False
Is 12544770 a multiple of 246?
True
Is 7488250 a multiple of 385?
True
Is 4104 a factor of 88932516?
False
Is 201 a factor of 1183015851?
True
Is 25942996 a multiple of 801?
False
Does 17 divide 637888405?
False
Does 231 divide 84592712?
False
Does 2359 divide 96728436?
True
Is 54 a factor of 888418?
False
Is 4116124 a multiple of 119?
False
Is 24 a factor of 69142303?
False
Is 65674347 a multiple of 1474?
False
Is 743 a factor of 140568170?
True
Is 35159639 a multiple of 5?
False
Is 155667828 a multiple of 386?
False
Is 8887594 a multiple of 8?
False
Does 19 divide 107628978?
False
Is 108672663 a multiple of 75?
False
Is 67 a factor of 24628865?
True
Does 16 divide 43142192?
True
Is 91 a factor of 140667163?
True
Is 57953525 a multiple of 175?
True
Is 1442075922 a multiple of 14?
True
Does 100 divide 31874700?
True
Is 359 a factor of 313603373?
True
Is 842548485 a multiple of 5?
True
Is 229053864 a multiple of 237?
True
Does 409 divide 94136083?
False
Is 134608427 a multiple of 263?
False
Does 15 divide 2690520849?
False
Is 15090025 a multiple of 58?
False
Does 69 divide 1509352161?
True
Is 976 a factor of 31744400?
True
Does 1531 divide 59001678?
True
Is 99854390 even?
True
Is 718 a factor of 12338915?
False
Does 26 divide 45413542?
False
Is 50577230 a multiple of 506?
True
Does 20 divide 580461652?
False
Is 2577 a factor of 1532338317?
True
Is 108129228 a multiple of 19?
True
Is 107 a factor of 869224124?
False
Does 20 divide 24546840?
True
Is 109 a factor of 34759205?
False
Is 110395703 a multiple of 211?
False
Is 55393376 a multiple of 1451?
True
Is 12 a factor of 508339487?
False
Is 306 a factor of 2668089221?
False
Is 55800958 even?
True
Does 161 divide 335990921?
False
Is 26 a factor of 426943?
False
Is 493276074 a multiple of 5806?
False
Is 1415 a factor of 25537016?
False
Is 50 a factor of 15162100?
True
Does 9 divide 280869381?
True
Is 403910156 a multiple of 52?
True
Is 369856185 a multiple of 95?
True
Is 36 a factor of 2120832?
True
Is 66 a factor of 57817819?
False
Is 297 a factor of 2406687968?
False
Is 757390619 a multiple of 107?
True
Does 108 divide 3218940?
True
Does 17 divide 33780751?
True
Is 1619 a factor of 992024441?
True
Is 2780 a factor of 384557400?
True
Is 25946987 a multiple of 275?
False
Is 7796 a factor of 8357312000?
True
Is 110577132 a multiple of 18?
True
Is 580071960 a multiple of 4?
True
Is 692 a factor of 46758?
False
Is 1158301043 a multiple of 154?
False
Is 19 a factor of 3295904522?
False
Is 122 a factor of 3447842?
True
Is 31 a factor of 526607301?
False
Is 6206067 a multiple of 161?
True
Does 282 divide 225110448?
True
Is 136 a factor of 18984920?
True
Is 558 a factor of 61141734?
True
Does 12 divide 2335910160?
True
Does 4 divide 197225028?
True
Is 70 a factor of 60123420?
True
Is 9 a factor of 89533170?
True
Is 14 a factor of 2352244412?
True
Is 258441882 a multiple of 204?
False
Is 12845360 a multiple of 80?
True
Does 999 divide 361973664?
True
Is 4850062 a multiple of 271?
False
Is 892997010 a multiple of 8
|
{
"pile_set_name": "DM Mathematics"
}
|
380*q**2 - 108864*q + 186624 = 0 for q.
8, 9
Factor h**3/2 + 11*h**2/2 - 21*h.
h*(h - 3)*(h + 14)/2
Find r, given that 2*r**2/9 + 364*r/9 + 362/9 = 0.
-181, -1
Factor -r**3/3 + 68*r**2/3 - 1156*r/3.
-r*(r - 34)**2/3
Factor -j**2/4 + 2385*j/2 - 5688225/4.
-(j - 2385)**2/4
Find f such that 3*f**3/2 - 3*f**2/2 - 15*f/2 - 9/2 = 0.
-1, 3
Let 2*c**4/3 + 2*c**3 - 16*c**2 - 56*c/3 + 32 = 0. Calculate c.
-6, -2, 1, 4
Factor -24*y**4/7 - 1434*y**3/7 - 28440*y**2/7 - 26400*y + 48000/7.
-6*(y + 20)**3*(4*y - 1)/7
Factor -4*y**3 - 4*y**2 + 16*y + 16.
-4*(y - 2)*(y + 1)*(y + 2)
Factor 3*n**5 - 2*n**4 - 4*n**3 + 2*n**2 + n.
n*(n - 1)**2*(n + 1)*(3*n + 1)
Factor 2*t**2/7 + 214*t/7 + 2444/7.
2*(t + 13)*(t + 94)/7
Solve -s**2/10 - 75*s/2 + 1532/5 = 0 for s.
-383, 8
Determine r, given that -r**4/3 + 6*r**2 - 27 = 0.
-3, 3
Let 3*w**3/7 - 81*w**2/7 + 330*w/7 + 144 = 0. Calculate w.
-2, 8, 21
Determine l, given that -2*l**3/5 - 96*l**2/5 + 198*l/5 - 20 = 0.
-50, 1
Suppose 140*o**5 - 402*o**4 + 1956*o**3/7 - 520*o**2/7 + 48*o/7 = 0. What is o?
0, 2/7, 3/10, 2
Let -h**4/7 + 3*h**3 - 19*h**2/7 - 3*h + 20/7 = 0. What is h?
-1, 1, 20
Let -12*s**5 + 261*s**4 - 114*s**3 - 1557*s**2 - 378*s = 0. What is s?
-2, -1/4, 0, 3, 21
Solve -2*x**4/3 + 328*x**3 - 120044*x**2/3 - 81016*x - 122018/3 = 0.
-1, 247
What is k in 2*k**5 + 18*k**4 + 46*k**3 + 22*k**2 - 48*k - 40 = 0?
-5, -2, -1, 1
Factor -3*t**2 - 183*t - 522.
-3*(t + 3)*(t + 58)
Suppose 2*s**2/17 - 6*s/17 + 4/17 = 0. What is s?
1, 2
Factor 4*z**4 + 76*z**3 + 256*z**2 - 336*z.
4*z*(z - 1)*(z + 6)*(z + 14)
Solve 50*h**3/9 + 1240*h**2/9 + 968*h/9 + 64/3 = 0.
-24, -2/5
Factor -x**4/3 - 2*x**3 - 3*x**2.
-x**2*(x + 3)**2/3
Find r, given that -5*r**5 + 5*r**4 + 45*r**3 - 65*r**2 - 40*r + 60 = 0.
-3, -1, 1, 2
Factor -2*l**5/11 - 10*l**4/11 - 6*l**3/11 + 18*l**2/11.
-2*l**2*(l - 1)*(l + 3)**2/11
Factor -2*a**4/15 + 2*a**3/15 + 2*a**2/3 + 2*a/5.
-2*a*(a - 3)*(a + 1)**2/15
Factor y**5 - 19*y**4/7 + 15*y**3/7 - y**2/7 - 2*y/7.
y*(y - 1)**3*(7*y + 2)/7
Factor -x**3/4 + 255*x**2/4 - 16383*x/4 + 16129/4.
-(x - 127)**2*(x - 1)/4
Find x, given that x**2/7 - 16*x/7 + 64/7 = 0.
8
Determine t, given that t**2 - 9 = 0.
-3, 3
Factor -x**5/3 + 2*x**4 + 5*x**3 + 8*x**2/3.
-x**2*(x - 8)*(x + 1)**2/3
Factor r**4/3 + 22*r**3 + 428*r**2/3 + 298*r + 177.
(r + 1)*(r + 3)**2*(r + 59)/3
Let -2*l**2 - 601*l/7 + 43/7 = 0. Calculate l.
-43, 1/14
Determine n, given that -3*n**5/2 + 183*n**4/2 + 645*n**3/2 - 4515*n**2/2 + 3189*n - 1344 = 0.
-7, 1, 2, 64
Determine j so that -5*j**2 + 5380*j - 1447220 = 0.
538
Determine o, given that -o**5 - 4*o**4 + 6*o**3 + 36*o**2 + 27*o = 0.
-3, -1, 0, 3
Factor -5*n**3 - 20565*n**2 - 21156240*n - 21135680.
-5*(n + 1)*(n + 2056)**2
Suppose -48*s**4 - 168*s**3 + 117*s**2 + 87*s + 12 = 0. Calculate s.
-4, -1/4, 1
Suppose f**2 + 22*f + 121 = 0. Calculate f.
-11
What is h in -2*h**4/5 - 4*h**3/5 + 2*h**2 + 12*h/5 = 0?
-3, -1, 0, 2
Suppose 2*j**2/7 + 20*j/7 + 48/7 = 0. Calculate j.
-6, -4
Factor -1770125*m**5/6 + 1091825*m**4/3 - 460780*m**3/3 + 71224*m**2/3 - 2024*m/3 + 16/3.
-(5*m - 2)**3*(119*m - 2)**2/6
Factor 2*l**4/3 - 6*l**3 + 16*l**2/3.
2*l**2*(l - 8)*(l - 1)/3
Solve -10*x**2/11 - 1272*x/11 - 254/11 = 0 for x.
-127, -1/5
Factor -2*y**2/7 - 208*y/7.
-2*y*(y + 104)/7
Factor 2*a**4 + 28*a**3 + 78*a**2 - 108*a.
2*a*(a - 1)*(a + 6)*(a + 9)
Suppose 4*j**3/7 + 9600*j**2/7 + 5760000*j/7 = 0. What is j?
-1200, 0
Determine j, given that -5*j**5 - 5*j**4 + 280*j**3 = 0.
-8, 0, 7
Find g, given that g**3/2 + 7*g**2/2 - 22*g = 0.
-11, 0, 4
Solve -125*d**5 - 375*d**4 - 155*d**3 + 315*d**2 + 280*d + 60 = 0.
-2, -1, -3/5, -2/5,
|
{
"pile_set_name": "DM Mathematics"
}
|
*j - z = k for j.
-1
Suppose 2*p - w + 15 = 2*w, -3 = -w. Let j be ((-15)/p + -4)*4. Solve -j*t + 14 + 2 = 0 for t.
4
Suppose 1 = -2*i - 2*s + 27, -2*s - 14 = -3*i. Solve -12 = -u - i for u.
4
Let d = 18 - 46. Let c = d + 16. Let j be (-111)/c + (-1)/4. Solve 0 = -2*b + 1 - j for b.
-4
Let j = 338 - 328. Solve -3*s - 5 = j for s.
-5
Let k(n) = n**3 - 9*n**2 - 2*n + 33. Let s be k(9). Solve -10*g + 13*g + s = 0 for g.
-5
Let b = -470 + 488. Solve 0 = -b*k + 14*k for k.
0
Suppose 6*g = 14 + 76. Let x be 3*4/36*g. Solve -x*a = -0*a - 5 for a.
1
Let v = 7 - 6. Let h be (-4*v + 2)*(-2)/4. Solve d - 2 = -h for d.
1
Let h = 137 - 100. Suppose 0 = 33*v - h*v. Solve -5*s + 20 = -v*s for s.
4
Suppose -29 + 122 = u - 3*o, 0 = -5*o - 5. Solve -2*v - 82 = -u for v.
4
Let x(h) = 14*h - 4*h**2 + 4 - h**2 + 5*h**2 - h**2. Let n be x(13). Solve 0 = 5*q - n - 8 for q.
5
Let r be (0/6)/((-1 + 4)/1). Let w(b) = b**3 - 2*b**2 + 2*b - 2. Let o be w(2). Solve 0*u - u + o = r for u.
2
Let a(w) = -w**3 + 11*w**2 - 11*w + 16. Let v be a(10). Let y be ((-9)/v)/((-2)/20). Solve -3*d - 2*d = -y for d.
3
Let g = 7 + -5. Let i = 22 + -18. Suppose 4*c - 5*n - 87 = 0, 2*c - 5*n - 31 = 20. Solve -i*k + g = -c for k.
5
Let k = 52 + -46. Suppose 5*x - k = 3*x. Solve -5*m - 8 = -x for m.
-1
Let h(y) be the second derivative of -y**5/20 - 5*y**4/4 - 13*y**3/3 + 21*y. Let b be h(-13). Solve 2*g + 2*g + 8 = b for g.
-2
Let t = -344 + 345. Let v = -3 - -4. Solve -g = -t - v for g.
2
Let b(n) = -n**3 - 12*n**2 + 2*n - 1. Let s be b(-12). Let d = s - -27. Solve -g = d*g for g.
0
Suppose -2 = -4*c - 21*v + 24*v, 5*v = c + 8. Solve 7 = k + c for k.
5
Let b = -10 - -7. Let u be 12/(-4)*5/b. Suppose u*h = -5*v + 30, -4 = 2*h - 14. Solve -4*s = -v + 21 for s.
-5
Let b = -1271 + 1279. Solve -20 = -4*n - b for n.
3
Suppose 128 = 2*y + 2*y + w, -5*y + 160 = -3*w. Suppose -3*f - o - 5 = -6*o, 4*f + 3*o - y = 0. Solve f*q + 0*q = 20 for q.
4
Let o = -8 + 14. Let p(i) = i**3 - 55*i**2 - 6*i + 335. Let n be p(55). Solve -4 = -n*l + o for l.
2
Suppose 0 = 2*b - 185 + 143. Solve 0 = 16*n - b*n for n.
0
Suppose -16*h = -17*h - 18. Let o = 21 + h. Solve -o*i + 0*i + 9 = 0 for i.
3
Suppose 0 = -33*v + 31*v + 4. Suppose -2*n = v*h - 14, 2*n = 5*n - h - 5. Solve n*y + 6 = -9 for y.
-5
Let s(i) = -3*i**3 - 6*i**2 - 2*i + 4. Let g be s(-3). Solve 36*p - 3 = g*p for p.
-3
Let p be (-12 + 19)*(1 - -1 - -1). Solve 5*z - p*z = 32 for z.
-2
Let i = 6 - 6. Suppose 0 = -i*l + 2*l + 8. Let b be (-18)/l*(-2)/(-3). Solve j = b*j + 2 for j.
-1
Let o(h) be the first derivative of h**2/2 + 16*h + 4. Let b be o(-14). Solve -b*r = -0*r - 6 for r.
3
Let b be ((-456)/(-28))/(-6)*-7. Solve -22*v + 6 = -b*v for v.
2
Suppose -17 = -5*v + 2*v - 2*q, -20 = -4*v - 2*q. Solve -v*o - 4 = -5*o for o.
2
Let c = -109 + 113. Solve c*u - 13 - 3 = 0 for u.
4
Suppose -66*c = -70*c + 24. Let y be (1*2)/((-24)/(-60)). Solve z - y = c*z for z.
-1
Let b(a) = a**2 - 3*a + 10 - 10*a + 12*a - 5*a. Let x be b(4). Solve -t = -x*t for t.
0
Let o be ((-2)/(-3) - 0)*117/26. Suppose o*s + 26 = 2*d + 1, -s = 4*d - 29. Let l(h) = 2*h**3 - 2*h**2 - 3*h + 2. Let r be l(2). Solve -r*p = d + 12 for p.
-5
Suppose -3*d - 2*n = -35, -18*d - 2*n = -13*d - 53. Solve -3*m - 24 = -d*m for m.
4
Suppose 0 = -a - 0 + 20. Suppose 0 = 5*k + 5*r - 40, -2*r + 3*r = -4*k + a. Suppose 5*p - 24 = 4*c, 2*p = -k*c + 8*c + 12. Solve -p*y + y + 15 = 0 for y.
5
Let f be (2 + -2 + 2)/(61/305). Solve 0 = w + 6 - f for w.
4
Suppose -3*q - 2*s + 38 = -7*s, -3*s + 18 = 5*q. Solve 0 = 3*p + 9 + q for p.
-5
Let v(u) = 2*u - 24. Let t be v(10). Let m(a) = a**2 + 10*a + 2. Let q be m(t). Let b = 25 + q. Solve b*n = -3 - 9 for n.
-4
Suppose 5*t - 19 = 6. Suppose -5*k + 42 - 2 = 0. Suppose g - 4*s = 2*g + 17, 4*s = -20. Solve -g*x + k = -t*x for x.
-4
Let r(n) = -14*n + 86. Let k be r(6). Solve y + k = 3*y for y.
1
Let r be 1 + (1 - 6) + -24*13/(-52). Suppose 0 = -a - 2*k, 2*k - k = 5*a. Solve a*y = -r*y for y.
0
Let u = 29 + -24. Solve -u = -3*t + 4 for
|
{
"pile_set_name": "DM Mathematics"
}
|
s the o'th term of 52, 138, 316, 586, 948, 1402, 1948?
46*o**2 - 52*o + 58
What is the v'th term of 1339, 1507, 1675, 1843, 2011?
168*v + 1171
What is the h'th term of 9036, 17781, 26526, 35271?
8745*h + 291
What is the q'th term of 866, 1726, 2586, 3446, 4306, 5166?
860*q + 6
What is the q'th term of 966, 2000, 3108, 4290, 5546?
37*q**2 + 923*q + 6
What is the m'th term of 755277, 755273, 755261, 755235, 755189, 755117?
-m**3 + 2*m**2 - 3*m + 755279
What is the w'th term of 1479, 5877, 13215, 23499, 36735, 52929, 72087, 94215?
w**3 + 1464*w**2 - w + 15
What is the t'th term of 963, 896, 829, 762, 695?
-67*t + 1030
What is the u'th term of 52, 478, 1636, 3892, 7612?
61*u**3 - u - 8
What is the a'th term of 141, 280, 425, 570, 709?
-a**3 + 9*a**2 + 119*a + 14
What is the p'th term of -60, -72, -86, -102, -120, -140, -162?
-p**2 - 9*p - 50
What is the u'th term of -132, -319, -590, -987, -1552, -2327, -3354?
-7*u**3 - 138*u + 13
What is the p'th term of -34750, -69498, -104246?
-34748*p - 2
What is the j'th term of -850, -3354, -7522, -13354, -20850, -30010, -40834?
-832*j**2 - 8*j - 10
What is the g'th term of -105, -414, -937, -1686, -2673, -3910?
-2*g**3 - 95*g**2 - 10*g + 2
What is the p'th term of -4257, -4220, -4171, -4104, -4013, -3892?
p**3 + 30*p - 4288
What is the o'th term of -58329, -58354, -58379, -58404?
-25*o - 58304
What is the p'th term of 483292, 966590, 1449900, 1933228, 2416580, 2899962, 3383380, 3866840?
p**3 + 483291*p
What is the x'th term of -27236, -27237, -27238, -27239, -27240?
-x - 27235
What is the a'th term of 63186, 252767, 568736, 1011093, 1579838, 2274971?
63194*a**2 - a - 7
What is the f'th term of 51, 130, 263, 480, 811, 1286, 1935, 2788?
5*f**3 - 3*f**2 + 53*f - 4
What is the a'th term of 39554, 79087, 118596, 158081, 197542?
-12*a**2 + 39569*a - 3
What is the f'th term of 11, 69, 169, 311, 495, 721, 989?
21*f**2 - 5*f - 5
What is the n'th term of -9901, -9881, -9857, -9829, -9797?
2*n**2 + 14*n - 9917
What is the k'th term of -4354, -4343, -4312, -4249, -4142, -3979, -3748, -3437?
2*k**3 - 2*k**2 + 3*k - 4357
What is the k'th term of -80279, -80279, -80277, -80273, -80267, -80259?
k**2 - 3*k - 80277
What is the w'th term of 1160, 4647, 10402, 18377, 28524, 40795, 55142?
-8*w**3 + 1182*w**2 - 3*w - 11
What is the w'th term of 229213, 229211, 229207, 229201, 229193?
-w**2 + w + 229213
What is the t'th term of -375, -353, -315, -261?
8*t**2 - 2*t - 381
What is the n'th term of -192, -214, -226, -222, -196?
n**3 - n**2 - 26*n - 166
What is the k'th term of 6150629, 6150630, 6150631, 6150632?
k + 6150628
What is the g'th term of 1459, 2987, 4515?
1528*g - 69
What is the d'th term of 10930, 21886, 32842, 43798, 54754?
10956*d - 26
What is the j'th term of -153, -726, -1689, -3048, -4809?
-j**3 - 189*j**2 + j + 36
What is the l'th term of -2178, -4392, -6584, -8742, -10854?
2*l**3 - l**2 - 2225*l + 46
What is the y'th term of 70649, 70652, 70655, 70658, 70661?
3*y + 70646
What is the z'th term of 5700, 45608, 153914, 364812, 712496?
5699*z**3 + 5*z**2 - 4
What is the n'th term of 260588, 260597, 260618, 260657, 260720, 260813?
n**3 + 2*n + 260585
What is the h'th term of 21634, 43270, 64906, 86542, 108178?
21636*h - 2
What is the p'th term of -7675, -7433, -7029, -6463, -5735?
81*p**2 - p - 7755
What is the z'th term of 994787, 994789, 994793, 994799?
z**2 - z + 994787
What is the j'th term of 1208969, 1208970, 1208971, 1208972, 1208973?
j + 1208968
What is the g'th term of 30379, 60755, 91131, 121507, 151883?
30376*g + 3
What is the q'th term of 1444, 4755, 13744, 31249, 60108, 103159, 163240, 243189?
473*q**3 + q**2 - 3*q + 973
What is the n'th term of 1279, 1159, 955, 661, 271, -221?
-n**3 - 36*n**2 - 5*n + 1321
What is the y'th term of 1643, 3290, 4937, 6584?
1647*y - 4
What is the z'th term of -2137, -4248, -6359, -8470?
-2111*z - 26
What is the w'th term of -46, 23, 162, 407, 794?
6*w**3 - w**2 + 30*w - 81
What is the r'th term of 50481, 100965, 151449, 201933?
50484*r - 3
What is the w'th term of -15, -54, -101, -156?
-4*w**2 - 27*w + 16
What is the n'th term of 441396, 441397, 441398, 441399, 441400?
n + 441395
What is the t'th term of 689321, 1378643, 2067965, 2757287?
689322*t - 1
What is the k'th term of -738, -1303, -1868, -2433?
-565*k - 173
What is the l'th term of -373, -581, -901, -13
|
{
"pile_set_name": "DM Mathematics"
}
|
rom {p: 6, d: 5, c: 3, b: 1}. Give prob of picking 2 d.
2/21
What is prob of picking 1 v and 2 y when three letters picked without replacement from vvyyyyyyyyvvvyyy?
55/112
Calculate prob of picking 2 d when two letters picked without replacement from dxdxxddddddddddxdx.
26/51
Three letters picked without replacement from jwwjjjwwjw. What is prob of picking 2 j and 1 w?
5/12
Four letters picked without replacement from {y: 3, e: 9, v: 7}. Give prob of picking 1 v, 2 y, and 1 e.
63/1292
What is prob of picking 2 z and 1 g when three letters picked without replacement from {z: 5, g: 2}?
4/7
Three letters picked without replacement from {k: 1, u: 3, x: 3, r: 2, w: 10}. Give prob of picking 1 u, 1 x, and 1 r.
6/323
Calculate prob of picking 1 y, 1 p, and 1 z when three letters picked without replacement from pwyzpwzwwzwwwpwwpww.
4/323
Two letters picked without replacement from uvvvuvvuvvvvukkv. What is prob of picking 1 u and 1 v?
1/3
Three letters picked without replacement from {w: 2, e: 2, h: 1, j: 3, o: 4}. What is prob of picking 1 o and 2 w?
1/55
What is prob of picking 2 d when two letters picked without replacement from {d: 2, j: 1, h: 5, a: 1, x: 1}?
1/45
What is prob of picking 1 p and 2 h when three letters picked without replacement from hqhqhqqqqhqqhqpqhq?
5/272
Calculate prob of picking 2 i and 1 p when three letters picked without replacement from wiirbpninrrnww.
3/364
What is prob of picking 2 c and 2 s when four letters picked without replacement from hcdccihchhcccccdshcs?
3/323
Calculate prob of picking 2 n when two letters picked without replacement from {n: 17, m: 2}.
136/171
What is prob of picking 1 b and 2 t when three letters picked without replacement from tbbtttttttttt?
5/13
Two letters picked without replacement from {u: 9, r: 4, m: 1, j: 2}. Give prob of picking 2 j.
1/120
Two letters picked without replacement from emeicll. What is prob of picking 1 c and 1 e?
2/21
Four letters picked without replacement from {i: 1, u: 2, d: 1, l: 1, o: 1, x: 2}. Give prob of picking 1 u, 1 l, 1 x, and 1 i.
2/35
Calculate prob of picking 1 u and 2 z when three letters picked without replacement from {a: 1, t: 1, z: 5, u: 2}.
5/21
Calculate prob of picking 1 s and 1 e when two letters picked without replacement from euszdsess.
2/9
Calculate prob of picking 1 o, 1 a, and 1 k when three letters picked without replacement from {k: 2, c: 1, s: 3, o: 2, e: 1, a: 3}.
3/55
Four letters picked without replacement from bggbgb. What is prob of picking 2 b and 2 g?
3/5
Calculate prob of picking 1 s and 1 t when two letters picked without replacement from {i: 3, t: 2, s: 4, y: 1}.
8/45
What is prob of picking 2 m when two letters picked without replacement from mpppmmmpppmpp?
5/39
Calculate prob of picking 1 h, 1 b, and 1 t when three letters picked without replacement from {b: 11, t: 2, h: 2}.
44/455
Calculate prob of picking 2 f when two letters picked without replacement from eeuqefef.
1/28
What is prob of picking 2 z when two letters picked without replacement from zzzz?
1
Two letters picked without replacement from ecccmcem. What is prob of picking 1 e and 1 c?
2/7
Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {w: 2, j: 7, q: 6}.
2/5
Calculate prob of picking 1 x and 1 t when two letters picked without replacement from xdatda.
1/15
Calculate prob of picking 1 l and 1 o when two letters picked without replacement from {h: 1, o: 1, b: 2, l: 1}.
1/10
What is prob of picking 2 i and 1 k when three letters picked without replacement from kpsiiwks?
1/28
Four letters picked without replacement from tttjjjjjjttjjtjtjtt. What is prob of picking 1 j and 3 t?
70/323
What is prob of picking 2 b when two letters picked without replacement from {u: 3, b: 2}?
1/10
Calculate prob of picking 1 z and 1 s when two letters picked without replacement from vvvqzqsqquqvvvqvvvv.
1/171
Calculate prob of picking 2 p when two letters picked without replacement from {a: 1, b: 6, p: 4}.
6/55
Calculate prob of picking 2 f when two letters picked without replacement from yqqqcqqfffyyfyqycqq.
2/57
What is prob of picking 1 a and 3 d when four letters picked without replacement from aaaddaaadd?
4/35
What is prob of picking 3 j when three letters picked without replacement from {w: 2, j: 3}?
1/10
What is prob of picking 2 q and 1 y when three letters picked without replacement from qyyyyyyqyyyyyyqy?
39/560
Three letters picked without replacement from {a: 4, k: 2, v: 2}. What is prob of picking 2 v and 1 k?
1/28
Four letters picked without replacement from rffffrf. What is prob of picking 4 f?
1/7
Four letters picked without replacement from xxooxggogxo. What is prob of picking 1 x, 1 g, and 2 o?
12/55
Three letters picked without replacement from {a: 2, l: 4, o: 2, f: 4}. Give prob of picking 3 l.
1/55
What is prob of picking 1 i and 1 u when two letters picked without replacement from kimue?
1/10
Four letters picked without replacement from jjjjjj. Give prob of picking 4 j.
1
Calculate prob of picking 1 g and 2 v when three letters picked without replacement from ggvv.
1/2
Two letters picked without replacement from ggmmgmjhmtm. Give prob of picking 1 j and 1 t.
1/55
Calculate prob of picking 1 x and 1 b when two letters picked without replacement from {y: 1, b: 1, w: 1, x: 9}.
3/22
Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {m: 3, u: 9}.
9/22
What is prob of picking 1 a, 1 r, and 1 v when three letters picked without replacement from rvvaqrrarvrarrrrrqrr?
9/95
What is prob of picking 1 x and 2 n when three letters picked without replacement from xnwnzgd?
1/35
What is prob of picking 1 u and 2 h when three letters picked without replacement from ughghgghuhhhuh?
9/52
Two letters picked without replacement from {v: 2, n: 3, l: 4, m: 9}. What is prob of picking 1 m and 1 n?
3/17
What is prob of picking 1 r, 1 e, and 1 f when three letters picked without replacement from uluuluflpeuefurlue?
1/136
What is prob of picking 1 b and 1 n when two letters picked without replacement from bnbnbnnbnn?
8/15
What is prob of picking 2 r and 1 w when three letters picked without replacement from {w: 5, p: 1, r: 8, k: 5, c: 1}?
7/57
What is prob of picking 2 v and 1 i when three letters picked without replacement from {v: 8, n: 6, i: 3}?
21/170
Three letters picked without replacement from rrmrddmrrmmdrrmqm. What is prob of picking 2 d and 1 r?
21/680
Four letters picked without replacement from {w: 1, k: 1, o: 1, n: 1, q: 1}. Give prob of picking 1 q, 1 o, 1 w, and 1 n.
1/5
What is prob of picking 1 y and 1 z when two letters picked without replacement from {y: 6, z: 4, g: 2}?
4/11
What is prob of picking
|
{
"pile_set_name": "DM Mathematics"
}
|
99) + 4)) + 1) + 1*(sqrt(2299) + 1 + sqrt(2299) + 5)*-6)**2.
12320*sqrt(19) + 452204
Simplify (1*sqrt(784))/(sqrt(21)/sqrt(3)*3) + (sqrt(63) - (sqrt(63) + (sqrt(63) + sqrt(1575))*-6)) + sqrt(63) + sqrt(63) + 4.
4 + 346*sqrt(7)/3
Simplify 4*(1*(3 + -3*sqrt(3)) + 4)*-5 + 0.
-140 + 60*sqrt(3)
Simplify 1 + sqrt(55)/(sqrt(176) + sqrt(11)) + 4 - (sqrt(405) + 2 + -3 + -2 + 5).
-44*sqrt(5)/5 + 3
Simplify ((-5 + -5 + 1*2*sqrt(605))*3 + 5)**2 + 4.
-3300*sqrt(5) + 22409
Simplify (0 + 2*sqrt(405) - (3 + sqrt(405) + 1*sqrt(405) - sqrt(405)) - -1*-3*sqrt(405)*1)**2 + -5.
108*sqrt(5) + 1624
Simplify (sqrt(60) - sqrt(960)*2 - (sqrt(60) + -2*sqrt(960)))/(-4*2*(sqrt(108) + (sqrt(108) - (sqrt(108)*2 + sqrt(108))))) + -3.
-3
Simplify 5 + (4*sqrt(225)*-2)/(-6*(sqrt(75)*2 + sqrt(75)) + sqrt(75) + sqrt(75)).
sqrt(3)/2 + 5
Simplify (-6*(-5 + 2 + sqrt(2) + (sqrt(32) - sqrt(32)*-2) + -3))**2 + 1 + 1.
-5616*sqrt(2) + 13466
Simplify ((4*sqrt(72) - sqrt(8)) + sqrt(1152)*2)/(-4*sqrt(400)*2 + sqrt(400) - ((-6*(sqrt(400) - 1*sqrt(400)) + sqrt(400) - sqrt(400)) + sqrt(400))).
-7*sqrt(2)/16
Simplify -2*(1 + sqrt(243)*-3 + 0 + (sqrt(243) + -1*sqrt(243) + -5)**2).
-52 + 54*sqrt(3)
Simplify (sqrt(51)/(2*sqrt(48)) - (sqrt(17)*-2 + 1 - (sqrt(17) - sqrt(34)/sqrt(2))*-2)) + (-4 + -1*sqrt(2448) + 2*-3*sqrt(2448))**2.
5393*sqrt(17)/8 + 119967
Simplify ((-3*sqrt(104)*-2 + (sqrt(104) - (3*sqrt(104) + sqrt(104))*3) + sqrt(104))/(sqrt(56)/(sqrt(7) + 1*sqrt(7)) - (sqrt(16)*1)/sqrt(2)))**2.
832
Simplify (-2 + (sqrt(539) - (sqrt(539) + 2)**2))*-4 + -2 + 5 + 5*((sqrt(539) + -1 + sqrt(539))*2)**2.
-476*sqrt(11) + 45323
Simplify 4*(-3*(sqrt(136) + -2*(sqrt(136) - 2*sqrt(136))))/(-6*(sqrt(8) - sqrt(72)/(3*sqrt(9))))*-2.
-18*sqrt(17)
Simplify ((sqrt(209) - (-3*sqrt(209) - sqrt(209)))*6 - 1*(sqrt(209)*3 + sqrt(209)))/(6*(1*sqrt(110))/sqrt(10)*-2).
-13*sqrt(19)/6
Simplify (-3*sqrt(475))**2 + -1 - -1*(2*sqrt(475) + sqrt(475)) - (2 + (sqrt(304)*4 - (sqrt(304) + 5)) + -3)**2.
159*sqrt(19) + 1502
Simplify (1*sqrt(19) + -2 - (1*sqrt(1539) + sqrt(1539)) - (sqrt(152) + sqrt(152)*2*-4 - sqrt(152))/(sqrt(40)/(sqrt(5)*-2)))**2.
132*sqrt(19) + 20695
Simplify -1*((sqrt(5) + (sqrt(80)/sqrt(2))/sqrt(8) - sqrt(5)) + sqrt(180) + sqrt(180)*4 + (sqrt(60) + sqrt(240)*-2)/(sqrt(300)*2 - sqrt(300))).
-152*sqrt(5)/5
Simplify (((sqrt(240) - 2*sqrt(240)) + sqrt(240))/(sqrt(540)/sqrt(12)))**2 + (2*sqrt(72)/sqrt(3))/(sqrt(8) + (sqrt(8) - (sqrt(128) + sqrt(8)))*6).
-2*sqrt(3)/23
Simplify ((1*-1*sqrt(84) - (-1*(-2*sqrt(84) - sqrt(84)) + sqrt(84)))*1)/(-3*-3*sqrt(96)/sqrt(8)*-2).
5*sqrt(7)/18
Simplify ((sqrt(54)/((sqrt(864) + sqrt(24))/sqrt(4)))/(1*sqrt(300)*1 + sqrt(300))*-6)**2.
27/4900
Simplify ((-1 + (sqrt(84)*-2*1 - sqrt(84))/(sqrt(60)/(-1*sqrt(5))))*5 + 1)**2.
-120*sqrt(7) + 1591
Simplify -5 + ((-1*1*sqrt(68) - sqrt(68)) + 6*-2*sqrt(68) + sqrt(68) + sqrt(68))**2 - (-5*4*((-2*sqrt(204))/sqrt(12))**2 + -5).
11152
Simplify -3 + ((sqrt(4)/sqrt(2) + 1 - (-2 + sqrt(8)/sqrt(4)))**2*4 - ((sqrt(128)*-2)**2 + 5 - -5*1*sqrt(128))).
-484 - 40*sqrt(2)
Simplify (-2 + (4*-2*sqrt(242))**2 - (sqrt(18)/(sqrt(36)/sqrt(4)) - sqrt(10)/(-1*sqrt(5)))) + 2.
-2*sqrt(2) + 15488
Simplify (-6*(3 + -3*sqrt(704)) + -2)**2 + ((sqrt(55)/(2*sqrt(5)) + -2*sqrt(1584))**2 + -3)*-3.
-5760*sqrt(11) + 841123/4
Simplify (((sqrt(76) - sqrt(76)*-2 - sqrt(76))*-6 + sqrt(76))*5)/((sqrt(400)*3)/sqrt(4))*-1.
11*sqrt(19)/3
Simplify -4*(-6*(sqrt(1573) + 3) + sqrt(1573)) + 4 + (3*(sqrt(1573) + -2) + 2)**2*-4.
-56616 + 1276*sqrt(13)
Simplify (((sqrt(208)/sqrt(4))/sqrt(2) - sqrt(26))*3*1)/(sqrt(288) - (sqrt(288) + -2*sqrt(288)*2) - -2*(1*sqrt(288) + sqrt(288) - sqrt(288))).
0
Simplify (sqrt(704) - (sqrt(704) + -3 + 2) - -4*sqrt(704)*4) + (-4 + -1 + sqrt(704) + sqrt(704) - ((sqrt(704)*-2*-4 - sqrt(704))**2 - sqrt(704))).
-34500 + 152*sqrt(11)
Simplify (-3*(sqrt(91) + sqrt(91)*-1) + (sqrt(91) - (sqrt(91) - (-1*3*sqrt(91) + sqrt(91) - sqrt(91)) - sqrt(91))))/((-1*sqrt(2401))/sqrt(7)*1).
2*sqrt(13)/7
Simplify (-4*-4*(-3*2*sqrt(405) + -1)*-5*-1)**2.
691200*sqrt(5) + 93318400
Simplify -1*(-1*-6*sqrt(400)*-2)/((sqrt(128) - (sqrt(128) - 2*sqrt(128)))*-6 - sqrt(128)).
-15*sqrt(2)/13
Simplify -2 + (-4*(3*(sqrt(612) + 0 + sqrt(612)) - 4*(0 + sqrt(612)))*3)**2 + -5.
352505
Simplify (5*sqrt(128)*2 + 0)**2 + 2 + 3*((sqrt(128) - (0 + sqrt(128)))*5 + -1 + sqrt(128) + -3 + sqrt(128))**2 + -2.
-384*sqrt(2) + 14384
Simplify (-5 + (sqrt(500
|
{
"pile_set_name": "DM Mathematics"
}
|
h: 3, a: 4, m: 1}.
2/55
What is prob of picking 1 a, 2 v, and 1 u when four letters picked without replacement from auuvvuvjvavavuvavjvv?
48/323
Two letters picked without replacement from {x: 3, y: 7}. Give prob of picking 2 y.
7/15
Calculate prob of picking 2 z when two letters picked without replacement from zzzzzzzzzz.
1
What is prob of picking 1 x and 3 f when four letters picked without replacement from {f: 1, n: 1, x: 1, c: 2, w: 2, u: 2}?
0
Two letters picked without replacement from fppafpf. Give prob of picking 2 f.
1/7
Two letters picked without replacement from {x: 2, b: 2}. Give prob of picking 1 x and 1 b.
2/3
Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {h: 5, f: 15}.
15/38
Three letters picked without replacement from aydeedaddddidymi. What is prob of picking 2 e and 1 y?
1/280
Four letters picked without replacement from {z: 6, h: 6}. Give prob of picking 1 z and 3 h.
8/33
Three letters picked without replacement from fffffffffeffffeefuff. Give prob of picking 1 u, 1 f, and 1 e.
4/95
Four letters picked without replacement from pppppkkpkkrkkk. What is prob of picking 4 k?
5/143
Four letters picked without replacement from {u: 1, k: 5, y: 1, i: 3, x: 3}. Give prob of picking 1 y, 1 x, and 2 k.
6/143
Four letters picked without replacement from oqqqiiqiiiriqrirq. What is prob of picking 1 r, 2 q, and 1 o?
9/476
Three letters picked without replacement from {k: 3, j: 6, s: 1, h: 4, a: 4, z: 2}. Give prob of picking 1 z, 1 s, and 1 j.
1/95
Four letters picked without replacement from {c: 5, b: 2, f: 1, q: 1, v: 3}. What is prob of picking 1 v, 1 q, and 2 c?
2/33
Three letters picked without replacement from {w: 2, o: 7, t: 5, s: 4}. What is prob of picking 1 t and 2 s?
5/136
What is prob of picking 1 e and 1 u when two letters picked without replacement from uehuuuyfzfeezzz?
4/35
Calculate prob of picking 1 f and 1 c when two letters picked without replacement from reeclflrh.
1/36
Two letters picked without replacement from {f: 2, d: 1, s: 1}. Give prob of picking 1 d and 1 s.
1/6
Calculate prob of picking 3 m and 1 h when four letters picked without replacement from mmmhmmmmmmmh.
16/33
Calculate prob of picking 1 t and 2 l when three letters picked without replacement from lmtlltltfllmtmltlt.
7/34
What is prob of picking 1 h and 2 f when three letters picked without replacement from {y: 1, n: 1, d: 1, f: 2, h: 1, i: 1}?
1/35
Calculate prob of picking 2 m and 1 q when three letters picked without replacement from {h: 1, a: 1, q: 11, m: 2}.
11/455
Two letters picked without replacement from {x: 1, r: 2}. Give prob of picking 1 x and 1 r.
2/3
Two letters picked without replacement from jjj. What is prob of picking 2 j?
1
What is prob of picking 1 a and 1 e when two letters picked without replacement from {e: 2, a: 17}?
34/171
Three letters picked without replacement from {l: 9, z: 9}. Give prob of picking 3 l.
7/68
Three letters picked without replacement from zlzlzluzuzlluzzzuzz. Give prob of picking 2 l and 1 z.
100/969
Three letters picked without replacement from powoonoooonn. What is prob of picking 1 p, 1 w, and 1 o?
7/220
Two letters picked without replacement from {o: 5, q: 11}. Give prob of picking 2 o.
1/12
Two letters picked without replacement from {i: 2, p: 2}. Give prob of picking 2 p.
1/6
Two letters picked without replacement from {l: 1, i: 5, f: 3}. Give prob of picking 1 i and 1 f.
5/12
Two letters picked without replacement from {g: 4, s: 4, b: 2, w: 1}. What is prob of picking 1 g and 1 b?
8/55
Four letters picked without replacement from {i: 4, w: 7, n: 6}. Give prob of picking 3 w and 1 i.
1/17
Calculate prob of picking 4 x when four letters picked without replacement from {x: 9}.
1
What is prob of picking 2 b when two letters picked without replacement from bbbyby?
2/5
Two letters picked without replacement from {c: 9}. What is prob of picking 2 c?
1
Calculate prob of picking 2 y and 1 x when three letters picked without replacement from xhyqxxxy.
1/14
What is prob of picking 1 v and 1 n when two letters picked without replacement from {n: 3, v: 4}?
4/7
Four letters picked without replacement from {o: 6, k: 3, n: 4, l: 3, b: 2}. Give prob of picking 4 n.
1/3060
Four letters picked without replacement from {f: 5, l: 2, m: 2, c: 9}. Give prob of picking 2 l and 2 m.
1/3060
Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {j: 2, l: 1, r: 2, n: 1, t: 1}.
2/21
What is prob of picking 2 o and 2 q when four letters picked without replacement from qqoqqqooqqqq?
12/55
Four letters picked without replacement from ldztddddr. Give prob of picking 1 r, 1 l, 1 d, and 1 z.
5/126
What is prob of picking 1 z, 1 j, 1 p, and 1 w when four letters picked without replacement from {z: 2, r: 1, e: 1, w: 1, j: 2, p: 2}?
4/63
Three letters picked without replacement from ebeahbbbaaecbababee. What is prob of picking 1 a, 1 e, and 1 b?
175/969
What is prob of picking 2 k when two letters picked without replacement from wwwwwwwwkkwwwwwwwwww?
1/190
What is prob of picking 2 m and 2 r when four letters picked without replacement from mrmmmr?
2/5
Three letters picked without replacement from yyyyybyyybbybybayya. Give prob of picking 2 y and 1 b.
110/323
Calculate prob of picking 2 q when two letters picked without replacement from qqaqqqqaqaqqqqaqqq.
91/153
Calculate prob of picking 1 h and 1 c when two letters picked without replacement from cdhcmdd.
2/21
Two letters picked without replacement from {p: 6, v: 1, x: 4}. Give prob of picking 2 p.
3/11
Two letters picked without replacement from xxlxxlxlll. Give prob of picking 2 l.
2/9
Calculate prob of picking 1 o, 1 i, and 1 f when three letters picked without replacement from fifohhphpopii.
6/143
Calculate prob of picking 1 s and 3 i when four letters picked without replacement from iiababassicabi.
8/1001
Calculate prob of picking 2 i and 2 o when four letters picked without replacement from iooooioioi.
3/7
Two letters picked without replacement from {j: 5, c: 5}. What is prob of picking 1 c and 1 j?
5/9
Calculate prob of picking 2 f, 1 l, and 1 r when four letters picked without replacement from rlzrlfrjrfrdj.
2/143
Calculate prob of picking 2 l when two letters picked without replacement from lfuuululguuullff.
1/12
Four letters picked without replacement from ddiodnv. Give prob of picking 1 i, 1 n, 1 o, and 1 d.
3/35
What is prob of picking 1 j, 2 k, and 1 n when four letters picked without replacement from ftkmkjn?
1/35
What is prob of picking 1 k and 2 b when three letters picked without replacement from bkbbbbbbbbbbb?
3/13
Four letters picked without replacement from xrvrvrrrprrvxrrxrxpx. What is prob of picking 2
|
{
"pile_set_name": "DM Mathematics"
}
|
greatest common factor of u and x?
11
Let o = -53 + 56. Suppose -15 = -o*d - 4*q + 25, 4*d + q - 49 = 0. What is the greatest common factor of 156 and d?
12
Let i be -5*36/30 + 46. Calculate the highest common divisor of i and 180.
20
Let y = 12 - 9. Let n = 27 - 18. Calculate the highest common divisor of y and n.
3
Let t be 0/2 + 4 + 34. Let g be (t + 0 - 2)*1. Suppose 0 = -0*o + 2*o - p - 12, 0 = 4*o + 4*p. Calculate the highest common divisor of o and g.
4
Suppose 0 = -0*g + 7*g - 28. Suppose -g*u - 10 = 50. Let n be (9/(-27))/(1/u). Calculate the greatest common divisor of n and 10.
5
Suppose 2*x + 714 = 7*t - 3*t, -2*x = t - 186. Calculate the greatest common factor of 225 and t.
45
Suppose 396 = 3*n - 36. What is the highest common factor of 64 and n?
16
Let s(t) = -7*t + 206. Let p be s(29). What is the greatest common divisor of p and 327?
3
Let p(d) = -d**2 - 16*d + 1. Let o be p(-12). Suppose 0*s - 1 = -3*s - f, -2*s - 2 = -2*f. Suppose s*j = j - o. What is the highest common divisor of j and 7?
7
Let h(y) = -y**3 + 8*y**2 + 32*y + 26. Let g be h(11). Calculate the greatest common factor of 585 and g.
15
Let w be 77/4 - (-49)/(-196). Calculate the greatest common factor of 608 and w.
19
Let a = -100 + 201. Let b be (-10)/15 - (-1 + a/(-3)). What is the highest common factor of b and 102?
34
Let z(j) = -j + 14. Let o be -1 - (-3)/3 - -4. Suppose 2*f + o = -4*a, 5 = -5*f - a + 4. Let x be z(f). What is the greatest common divisor of x and 28?
14
Let h be (-24 - (-1 - -4))/(-2 - -1). Let j = h - 13. What is the highest common factor of 7 and j?
7
Suppose -5*b = 2*w - 5*w - 12, -1 = -2*b + 5*w. What is the highest common factor of 2 and b?
1
Let m(x) = -3*x**2 - 19*x - 6. Let s be m(-7). Suppose 2*r - 6*r - 20 = 0. Let q be s/(-50) + (-28)/r. What is the greatest common factor of q and 30?
6
Let i(v) = 2*v**3 - 2*v**2 + 68*v - 291. Let a be i(4). Calculate the highest common divisor of a and 187.
11
Let y = -18 - -29. Let j be (-3 + -3)*((-15)/50 + (-7)/210). What is the highest common divisor of y and j?
1
Suppose -12 = -2*g + 204. Suppose 5*c + 4*h = -g, -4*c - 45 = -h + 54. Let k = 82 + c. What is the highest common divisor of 145 and k?
29
Suppose -20*g = -3153 - 3567. What is the highest common divisor of g and 16?
16
Suppose 3*n - 19 = 116. Let p = -11 - -19. Suppose -3*x - 5*s = -p*s - 87, -5*x + 3*s + 147 = 0. What is the greatest common factor of x and n?
15
Suppose 956 - 236 = 40*n. What is the highest common divisor of n and 675?
9
Suppose -7*q + 3*q + 108 = 0. Let w be 774/(-4)*2/(-3). Suppose 4*z = 3*f - 223, -2*z + 124 = 3*f - w. What is the highest common factor of f and q?
27
Let p(t) = 8*t**2 - 4*t + 96. Let a be p(-12). What is the highest common divisor of 27 and a?
27
Let h(w) = w + 31. Let d be h(-11). What is the highest common factor of 190 and d?
10
Suppose g - 3 + 0 = 0. Suppose -w - 2 - 1 = -2*x, 2*x = -5*w + 21. Let p(i) = i**2 - 4*i + 9. Let o be p(w). What is the highest common divisor of g and o?
3
Suppose 2*h = -5*x - 10, 2*x - 3*h - 15 = 6*x. Suppose 4*z - 256 = -x*z. Suppose -z = 3*i - 7*i. What is the highest common divisor of 80 and i?
16
Let b = 24 - 32. Let n be b/60 + 17/15. Suppose l = -2*l - 5*q - n, -4*l - 3*q = -6. Calculate the highest common divisor of l and 27.
3
Let m(t) be the second derivative of t**4/12 + 5*t**3/6 + t**2/2 - 16*t. Let c be m(-7). Calculate the greatest common factor of 5 and c.
5
Let f be ((-72)/(-40))/((-2)/(-30)). Suppose 3*w + 287 = 935. Calculate the highest common factor of w and f.
27
Let b = -1271 + 1391. Calculate the greatest common factor of b and 300.
60
Suppose -4*v + 393 = -287. What is the greatest common factor of 51 and v?
17
Let a be (38/12)/((-17)/(-102)). What is the greatest common factor of 2 and a?
1
Suppose 221 = 2*f - 37. What is the highest common factor of 86 and f?
43
Suppose 8*s - 4*s + 136 = 0. Let p = -3 - s. Let k be p + 2*(-6)/(-3). What is the greatest common factor of k and 14?
7
Suppose -5*i = -54 - 6. Let q be (-108)/30 + (-6)/(-10). Let l = 6 + q. What is the highest common factor of l and i?
3
Let m(l) = -l**2 - 5. Let o(z) = z**2 - z + 4. Let h(b) = 3*m(b) + 4*o(b). Let g be h(-4). What is the highest common divisor of 11 and g?
11
Suppose 4*o = -d + 193, d + d - 3*o = 375. What is the greatest common factor of 21 and d?
21
Let l = -708 + 723. Calculate the highest common factor of l and 9.
3
Let n(r) = r**2 + 21*r + 117. Let u be n(-7). What is the highest common factor of 95 and u?
19
Let g(f) = -f - 21*f**3 + f - 1. Let w be g(-1). Let h be (-8 + 4)*30/8*-2. Calculate the greatest common factor of w and h.
10
Let v be 26/(-1)*(-77)/22. Let n = -1 + 14. What is the highest common factor of n and v?
13
Suppose z - 52 = -2*a, 4*a = 2*z - 137 + 33. What is the highest common divisor of z and 91?
13
Let v be 376/(-11)*-1 + (-2)/11. What is the greatest common factor of v and 85?
17
Suppose -2*a + 3*j + 17 = 0, -12 = -2*j - 2*j. Suppose -146 - 205 = -a*i. What is the greatest common divisor of i and 243?
27
Suppose 6258 = 20*f + 1498. Calculate the greatest common divisor of 85 and f.
17
Let n = 104 - 16. Suppose 5*h - n = -33. Calculate the greatest common factor of 33 and h.
11
Let m be (89/(-2))/((-1)/2). Suppose -54 = 3*b - b - 5*r, r - m = 5*b. Let v = b - -18. What is the greatest common divisor of 3 and v?
1
Suppose 0 = 2*b - 5*g +
|
{
"pile_set_name": "DM Mathematics"
}
|
r.
16.3, -4/5, -1, -3, -6
Sort 2, -51, 7, -7.
-51, -7, 2, 7
Put -0.0661, 1, 0.2 in descending order.
1, 0.2, -0.0661
Sort 0.5, 1/6, -0.7, 21/5, 2/11 in decreasing order.
21/5, 0.5, 2/11, 1/6, -0.7
Sort -408, -2/19, 0.11, -0.1, -3 in decreasing order.
0.11, -0.1, -2/19, -3, -408
Sort -3, 8001, -2 in decreasing order.
8001, -2, -3
Put 2, 0.3, -18, -3 in decreasing order.
2, 0.3, -3, -18
Sort 1, -76, -1/108, -2/3 in descending order.
1, -1/108, -2/3, -76
Put -22, 352, -5, 0 in decreasing order.
352, 0, -5, -22
Put 14, 0.2, 1/7, 1/4, -3, -132 in ascending order.
-132, -3, 1/7, 0.2, 1/4, 14
Put 0.3, 0, 1029, -1/5, 5 in decreasing order.
1029, 5, 0.3, 0, -1/5
Sort -24816.8, 6, -5 in ascending order.
-24816.8, -5, 6
Put 6, 11151, 4 in increasing order.
4, 6, 11151
Put -2252.4, 4, 0.3 in decreasing order.
4, 0.3, -2252.4
Sort -64.81, -0.4, 26 in increasing order.
-64.81, -0.4, 26
Put 2, 4, 2380 in descending order.
2380, 4, 2
Sort 2, -65, -2437 in ascending order.
-2437, -65, 2
Sort -7566, -5, 43, 0 in descending order.
43, 0, -5, -7566
Put -5, 805, -32 in ascending order.
-32, -5, 805
Sort -1, 2/9, 0.3, -13, -0.18, 0.1 in decreasing order.
0.3, 2/9, 0.1, -0.18, -1, -13
Sort -2, -5, -1206, 12, 2, 4 in decreasing order.
12, 4, 2, -2, -5, -1206
Sort 15, 741, -1 in decreasing order.
741, 15, -1
Sort 4, -39, 5, 18, -12.
-39, -12, 4, 5, 18
Put 1/2, 35/2, -0.073 in ascending order.
-0.073, 1/2, 35/2
Sort 10, -1, 0.3, 93, -2/9 in increasing order.
-1, -2/9, 0.3, 10, 93
Put 3, 90, 4, 0, -20 in descending order.
90, 4, 3, 0, -20
Put -2, 39, 881 in ascending order.
-2, 39, 881
Put -2/29, 5, 1/3089, 1/3 in increasing order.
-2/29, 1/3089, 1/3, 5
Sort -15, 2, 5, -2/3, 4 in decreasing order.
5, 4, 2, -2/3, -15
Put -1/3, 20, 22, 0.05, 2 in ascending order.
-1/3, 0.05, 2, 20, 22
Sort -1, 38, 167, 5, -5, 1 in decreasing order.
167, 38, 5, 1, -1, -5
Put 4/9, -5, -1382, 1/8, -7, -0.5 in decreasing order.
4/9, 1/8, -0.5, -5, -7, -1382
Sort -5, -2, 33212, -4 in increasing order.
-5, -4, -2, 33212
Sort -9, 80, 15 in increasing order.
-9, 15, 80
Sort 19, 0.3, 217.
0.3, 19, 217
Sort 8, 5, -3, 3, -33, 1 in descending order.
8, 5, 3, 1, -3, -33
Put -10, 0.11, -5, -2/11, -7, 0 in ascending order.
-10, -7, -5, -2/11, 0, 0.11
Sort -57, -0.06, -2/3, 3 in increasing order.
-57, -2/3, -0.06, 3
Sort -3, 9, -4, -9 in decreasing order.
9, -3, -4, -9
Put 4, -2, -1119 in ascending order.
-1119, -2, 4
Sort -584, -11/9, 0.5 in decreasing order.
0.5, -11/9, -584
Put -1, -2, 6, -3546 in increasing order.
-3546, -2, -1, 6
Put -0.5, -15, 1.29, 5 in increasing order.
-15, -0.5, 1.29, 5
Sort 1298, -107, -4 in descending order.
1298, -4, -107
Put -75212, 26, 2/11 in descending order.
26, 2/11, -75212
Sort 5, -0.26, -1249.
-1249, -0.26, 5
Put 2/7, -1/2, 287 in increasing order.
-1/2, 2/7, 287
Sort 0, 22, 3, -3, 92 in decreasing order.
92, 22, 3, 0, -3
Sort -0.5, 1/5, -30/679, -3 in increasing order.
-3, -0.5, -30/679, 1/5
Put -1/2, 591, 1/3 in ascending order.
-1/2, 1/3, 591
Sort 3, -3, -248, 1 in descending order.
3, 1, -3, -248
Put 2, 689, -3, -5, -1 in descending order.
689, 2, -1, -3, -5
Put 9, 0, -2, -7, -3, 2 in decreasing order.
9, 2, 0, -2, -3, -7
Sort -2/15, -583882, -1/2 in ascending order.
-583882, -1/2, -2/15
Put 1, -41, 1483, -4, 2 in ascending order.
-41, -4, 1, 2, 1483
Put -25, 1/3, 5, -2/7, -0.3, 87 in increasing order.
-25, -0.3, -2/7, 1/3, 5, 87
Sort 1/5, -3/4, -0.1, -465/152 in decreasing order.
1/5, -0.1, -3/4, -465/152
Put -0.1419, -4, 4, 2/7 in decreasing order.
4, 2/7, -0.1419, -4
Put 5.18683, -0.4, -0.1 in increasing order.
-0.4, -0.1, 5.18683
Put 9, -5/6, -7, -4/3, 2/7 in ascending order.
-7, -4/3, -5/6, 2/7, 9
Put 39569, 2, -6 in descending order.
39569, 2, -6
Sort 2994, 160, -3 in descending order.
2994, 160, -3
Sort 2, 0.1, 2/7, 20, -220 in decreasing order.
20, 2, 2/7, 0.1, -220
Put -2/5, 79766, -2/9, -1 in descending order.
79766, -2/9, -2/5, -1
Put -3/7, -415, 21/5 in descending order.
21/5, -3/7, -415
Put -0.057, 0, -1/8, -1700, 4 in decreasing order.
4, 0, -0.057, -
|
{
"pile_set_name": "DM Mathematics"
}
|
rivative of -d**4/12 + d. Let r(k) be the second derivative of -271*k - 25/6*k**3 - k**2 + 0. What is x(r(f))?
-625*f**2 - 100*f - 4
Let a(k) = 55*k**2 + 3*k - 3. Let x(t) = -108*t**2 - 4*t + 5. Let y(c) = 5*a(c) + 3*x(c). Let b(r) = -r**2. Calculate b(y(u)).
-2401*u**4 + 294*u**3 - 9*u**2
Let u(f) = 6*f. Let s(r) = -36 - 51*r - 49 - 51 + 124. Calculate s(u(i)).
-306*i - 12
Let k(v) = 22*v + 4. Let u(y) = 22*y + 3. Let n(p) = -3*k(p) + 4*u(p). Let l(s) be the first derivative of 194 + 0*s**2 + 0*s + 2/3*s**3. What is n(l(o))?
44*o**2
Let j(h) be the second derivative of -11*h**5/60 + 7*h**4/24 + 39*h**2 + 74*h. Let c(b) be the first derivative of j(b). Let t(y) = -2*y**2. Give c(t(l)).
-44*l**4 - 14*l**2
Let c(m) = 2*m + 122. Let g(k) = 54*k**2 - 45*k - 225. Let y(j) = j**2 - j - 5. Let l(d) = -g(d) + 45*y(d). Give c(l(v)).
-18*v**2 + 122
Let g(z) = 5*z**2. Let s(l) be the third derivative of -l**5/2 + l**3/6 - 2142*l**2. Calculate s(g(n)).
-750*n**4 + 1
Let u(w) = -14*w. Let z(x) = -3*x - 1. Let g(y) = 41*y - 21*y + 27 - 28*y + 83*y. Let j(t) = 2*g(t) + 54*z(t). Calculate j(u(n)).
168*n
Let g(b) = 7*b. Let n(q) = 45 - 6*q**2 + 8*q**2 - q - 44. Let u(d) = -2*d**2 - 3*d + 3. Let h(k) = -3*n(k) + u(k). Give h(g(t)).
-392*t**2
Let n(l) = -77*l**2 - 70*l**2 - 17*l**2 + 165*l**2. Let s(z) = 6795*z**2. Determine n(s(q)).
46172025*q**4
Suppose -3*p = -a - 3*a + 7, 0 = 5*a - 5*p - 5. Let z(k) = -8*k - a*k + 19*k - 4*k. Let v(h) = -3*h. Give z(v(i)).
-9*i
Let g(k) = -8345*k + 1. Let r(i) be the second derivative of -i**3/3 - 19*i - 11. Give g(r(f)).
16690*f + 1
Let p(c) be the second derivative of 0*c**2 - 10*c + 0 - 1/6*c**3. Let t(i) = i**2 + 2. Calculate t(p(w)).
w**2 + 2
Let q(y) = -27*y. Let z = -1542 + 2310. Let j(o) = -z*o + 380*o + 381*o. Calculate j(q(k)).
189*k
Let z(b) = -170*b**2 - 2 + 1 + 1 + 169*b**2. Let l(q) = -6*q + 9*q - 10*q - 29*q. What is z(l(u))?
-1296*u**2
Let o(a) = -510*a + 4. Let i(j) = 568*j - 5. Let n(q) = 4*i(q) + 5*o(q). Let d(g) = -10*g**2. Determine d(n(s)).
-772840*s**2
Let o(x) be the first derivative of 237*x**3 - 576. Let a(g) = 2*g**2. What is o(a(p))?
2844*p**4
Let o(t) = 48074585*t. Let n(l) = 6*l. Determine n(o(q)).
288447510*q
Let x(a) = 59*a - 44. Let u(l) = -21*l + 16. Let f(k) = -11*u(k) - 4*x(k). Let y(v) = 132*v**2 + 2*v. Determine f(y(j)).
-660*j**2 - 10*j
Suppose 10 = -6*o + 34. Suppose -o*q = -2*n, -q - 5 = 5*n - 27. Let x(g) = -133 - q*g - 6*g + 133. Let v(f) = 3*f. Give x(v(j)).
-24*j
Let p(d) be the first derivative of 9*d**2 - 2. Let m(j) = 338*j. Let r(x) = 16*x. Let a(z) = m(z) - 21*r(z). What is p(a(o))?
36*o
Let b = 75 - -11. Let p(m) = b + 9*m**2 - 86. Let y(d) = 2*d - 3. Let j(r) = -r + 2. Let z(t) = -3*j(t) - 2*y(t). Calculate p(z(u)).
9*u**2
Let q(w) = w. Suppose -5*n - x + 30 = 0, -7*n - x + 23 = -3*n. Let r be 17/(3*(-3)/(-9)). Let p(o) = -17 + r - n*o + o. Give p(q(h)).
-6*h
Let n(u) = 10*u. Let j(b) = -4468679*b - 2. Determine n(j(i)).
-44686790*i - 20
Let m(h) = -13*h. Let j(c) = c + 38. Let x(v) = -192*v + 74. Let p(r) = -2*j(r) + x(r). Give m(p(q)).
2522*q + 26
Let m(t) = -28*t**2. Let p(v) be the first derivative of v**5/60 + 37*v**3 + 3. Let r(q) be the third derivative of p(q). What is r(m(i))?
-56*i**2
Let h(m) = -27 + 49 - 22 + 2*m + 3*m. Let d(l) = 26 - 53 + 27 + l**2. What is h(d(o))?
5*o**2
Let l(m) = -27*m + 1. Let c(o) be the third derivative of -11*o**5/12 + 1720*o**2. Calculate c(l(p)).
-40095*p**2 + 2970*p - 55
Let j(c) = 34*c**2. Let k(x) = 12*x + 55. Let n(s) = 11*s + 84. Let u(w) = -3*k(w) + 2*n(w). Calculate j(u(o)).
6664*o**2 - 2856*o + 306
Let z(o) = 9*o - 49*o - 10 - 10*o + 8*o - 45*o. Let s(p) = -p. Determine s(z(g)).
87*g + 10
Let p(j) = -11*j. Let u(t) be the first derivative of -299*t**2/2 - 1533. Calculate p(u(v)).
3289*v
Let z(v) = 8*
|
{
"pile_set_name": "DM Mathematics"
}
|
e factors of 78874130?
2, 5, 19, 23, 18049
List the prime factors of 23954998.
2, 137, 87427
List the prime factors of 3070590064.
2, 29, 139, 47609
What are the prime factors of 4237457267?
4237457267
What are the prime factors of 59013154?
2, 17, 1735681
What are the prime factors of 574243828?
2, 109, 157, 8389
What are the prime factors of 2425950005?
5, 485190001
List the prime factors of 906652545.
3, 5, 19, 3181237
List the prime factors of 3921111198.
2, 3, 31, 191, 36791
List the prime factors of 52644201.
3, 17548067
What are the prime factors of 9013676473?
9013676473
List the prime factors of 1318055390.
2, 5, 17, 887, 8741
List the prime factors of 104401570.
2, 5, 7, 13, 47, 2441
What are the prime factors of 960359852?
2, 17, 14122939
What are the prime factors of 31392224?
2, 41, 71, 337
What are the prime factors of 1826037602?
2, 913018801
What are the prime factors of 331199931?
3, 23, 4799999
List the prime factors of 280306722.
2, 3, 71, 619, 1063
What are the prime factors of 1206958947?
3, 402319649
What are the prime factors of 209976518?
2, 61, 1297, 1327
List the prime factors of 2273703127.
53, 42900059
What are the prime factors of 21631026?
2, 3, 41, 87931
What are the prime factors of 153634139?
153634139
What are the prime factors of 803658047?
1979, 406093
List the prime factors of 65172622.
2, 19, 821, 2089
What are the prime factors of 374948878?
2, 73, 269, 9547
List the prime factors of 32769225.
3, 5, 43, 1129
List the prime factors of 415998833.
41, 47, 61, 3539
What are the prime factors of 138475248?
2, 3, 2884901
What are the prime factors of 19086?
2, 3, 3181
List the prime factors of 350406115.
5, 109, 642947
List the prime factors of 361544460.
2, 3, 5, 6025741
List the prime factors of 1147977212.
2, 1579, 181757
List the prime factors of 116387584.
2, 43, 97, 109
What are the prime factors of 48274902?
2, 3, 13, 206303
List the prime factors of 67457995.
5, 11, 89, 13781
List the prime factors of 1821295702.
2, 43, 21177857
What are the prime factors of 156891860?
2, 5, 7844593
List the prime factors of 1011050431.
1223, 826697
List the prime factors of 6413174602.
2, 3206587301
What are the prime factors of 6643841313?
3, 1511, 1465661
What are the prime factors of 3425775399?
3, 8753, 43487
What are the prime factors of 119630431?
119630431
What are the prime factors of 150996446?
2, 29, 727, 3581
List the prime factors of 236847947.
7, 719, 47059
What are the prime factors of 429329705?
5, 7, 677, 18119
List the prime factors of 326160345.
3, 5, 7, 787, 3947
List the prime factors of 131106603.
3, 1433, 30497
What are the prime factors of 271334847?
3, 7, 31, 416797
What are the prime factors of 791202965?
5, 7, 313, 72223
List the prime factors of 353810093.
7, 13, 3888023
List the prime factors of 7461237908.
2, 19, 7177, 13679
What are the prime factors of 46773130?
2, 5, 4677313
List the prime factors of 4378868273.
13, 1129, 298349
What are the prime factors of 1078852139?
97, 11122187
List the prime factors of 852530786.
2, 7621, 55933
What are the prime factors of 37571664?
2, 3, 13, 19, 3169
What are the prime factors of 6036187290?
2, 3, 5, 7, 61, 471209
List the prime factors of 33131932.
2, 31, 267193
List the prime factors of 125505988.
2, 31376497
List the prime factors of 1360753611.
3, 7, 64797791
What are the prime factors of 44137294?
2, 22068647
List the prime factors of 228789626.
2, 13, 8799601
List the prime factors of 472647013.
43, 10991791
What are the prime factors of 3880596141?
3, 143725783
What are the prime factors of 648514481?
107, 911, 6653
What are the prime factors of 44799341?
37, 1210793
What are the prime factors of 118021947?
3, 23, 73, 23431
List the prime factors of 2948845275.
3, 5, 13105979
What are the prime factors of 3774356963?
13, 290335151
List the prime factors of 2941749929.
31, 94895159
List the prime factors of 51408182.
2, 7, 3672013
List the prime factors of 5074889697.
3, 37, 359, 42451
What are the prime factors of 161456679?
3, 229, 26113
What are the prime factors of 37669843?
37669843
List the prime factors of 49103374.
2, 24551687
What are the prime factors of 251258752?
2, 1962959
What are the prime factors of 353650271?
13, 4217, 6451
What are the prime factors of 2278758765?
3, 5, 151917251
What are the prime factors of 3564925315?
5, 7, 101855009
What are the prime factors of 5332247999?
13, 17, 24127819
List the prime factors of 80533948.
2, 11, 23, 79579
List the prime factors of 21001583.
1879, 11177
What are the prime factors of 59824607?
59824607
List the prime factors of 54854103.
3, 23, 71, 11197
What are the prime factors of 152058390?
2, 3, 5, 11, 197, 2339
List the prime factors of 74002121.
74002121
List the prime factors of 36441399.
3, 31, 83, 4721
List the prime factors of 1547021442.
2, 3, 257836907
What are the prime factors of 84324186?
2, 3, 1561559
List the prime factors of 31120177.
11, 2829107
What are the prime factors of 21872555?
5, 4374511
List the prime factors of 3412723054.
2, 13, 79, 271, 6131
What are the prime factors of 694767954?
2, 3, 115794659
List the prime factors of 494338675.
5, 19, 97, 10729
List the prime factors of 155807099.
7, 1063, 20939
What are the prime factors of 2290040850?
2, 3, 5, 15266939
List the prime factors of 1702484548.
2, 1283, 331739
List the prime factors of 37465864.
2, 67, 69899
What are the prime factors of 643811793?
3, 214603931
What are the prime factors of 625873159?
41, 149, 102451
List the prime factors of 1821929465.
5, 401, 569, 1597
What are the prime factors of 31585533?
3, 7, 1504073
What are the prime factors of 1960375484?
2, 490093871
What are the prime factors of 41906686?
2, 743, 28201
|
{
"pile_set_name": "DM Mathematics"
}
|
j in -6*j**5/5 + 34*j**4/5 - 10*j**3 - 2*j**2 + 56*j/5 - 24/5 = 0?
-1, 2/3, 1, 2, 3
Determine o, given that 3*o**2 - 5*o/3 = 0.
0, 5/9
Determine h so that -2*h**2 + 16*h - 32 = 0.
4
Factor 3*g**3 - 7050*g**2 + 28164*g - 28152.
3*(g - 2346)*(g - 2)**2
Let -3*u**3/5 - 1068*u**2/5 - 19635*u - 110250 = 0. What is u?
-175, -6
Let -t**2/7 - 314*t/7 + 951/7 = 0. What is t?
-317, 3
Factor 196*d**4/5 - 56*d**3 - 12*d**2/5 + 16*d + 16/5.
4*(d - 1)**2*(7*d + 2)**2/5
Find l such that l**3/5 - 9*l**2/5 - 76*l/5 + 84/5 = 0.
-6, 1, 14
Determine k so that k**5 - 13*k**4 + 55*k**3 - 103*k**2 + 88*k - 28 = 0.
1, 2, 7
Factor 44*f**3 + 520*f**2 + 1488*f - 288.
4*(f + 6)**2*(11*f - 2)
Find w such that 3*w**2/4 - 33*w/4 - 39/2 = 0.
-2, 13
Suppose -2*c**4/7 + 6*c**2/7 - 4*c/7 = 0. What is c?
-2, 0, 1
Let 3*b**3/7 - 201*b**2/7 - 624*b/7 - 60 = 0. Calculate b.
-2, -1, 70
Let -3*v**5/2 + 55*v**4/2 + 47*v**3/2 - 159*v**2/2 - 112*v - 38 = 0. Calculate v.
-1, -2/3, 2, 19
Let 16*s**2 + 12*s = 0. Calculate s.
-3/4, 0
Determine f, given that -4*f**2 + 544*f - 1596 = 0.
3, 133
Factor 2*i**5 - 2*i**4 - 34*i**3 + 42*i**2 + 72*i.
2*i*(i - 3)**2*(i + 1)*(i + 4)
Factor -2*q**5/9 + 1342*q**4/9 - 225790*q**3/9 + 224450*q**2/9.
-2*q**2*(q - 335)**2*(q - 1)/9
Let u**3/2 + 109*u**2/2 = 0. What is u?
-109, 0
Determine n, given that -12*n**4/5 + 2356*n**3/5 + 316*n**2 - 788*n/5 = 0.
-1, 0, 1/3, 197
Determine p so that p**5 + 16*p**4 + 35*p**3 - 64*p**2 - 156*p = 0.
-13, -3, -2, 0, 2
Factor 4*p**2 - 10472*p/3 - 13984/3.
4*(p - 874)*(3*p + 4)/3
What is b in 2*b**3/9 + 22*b**2 + 388*b/9 = 0?
-97, -2, 0
What is u in -4*u**5 + 12*u**4 + 24*u**3 - 32*u**2 = 0?
-2, 0, 1, 4
Find n, given that -14*n**5 + 220*n**4 - 1028*n**3 + 1256*n**2 - 238*n - 196 = 0.
-2/7, 1, 7
Factor 2*r**3/7 - 64*r**2/7 + 122*r/7 - 60/7.
2*(r - 30)*(r - 1)**2/7
Factor -w**3 + 15*w**2 + 16*w.
-w*(w - 16)*(w + 1)
Factor -3*j**3/5 + 29808*j**2/5 - 98724096*j/5 + 108991401984/5.
-3*(j - 3312)**3/5
Suppose -867*c**5/4 + 53091*c**4/4 - 791889*c**3/4 - 649059*c**2/4 + 46314*c - 2883 = 0. What is c?
-1, 2/17, 31
Solve 2*c**4/21 + 38*c**3/21 + 184*c**2/21 + 160*c/21 - 128/7 = 0.
-12, -4, 1
Suppose -2*v**4/5 + 101*v**3/5 + 31*v**2 + 52*v/5 = 0. Calculate v.
-1, -1/2, 0, 52
Find p such that 3*p**4/4 + 669*p**3/4 + 19143*p**2/2 + 27555*p + 18150 = 0.
-110, -2, -1
Suppose 2*c**4 - 92*c**3 + 90*c**2 = 0. What is c?
0, 1, 45
Find p such that -p**3/4 + 15*p**2/4 - 17*p + 21 = 0.
2, 6, 7
What is b in 5*b**4/3 + 11*b**3/3 + b**2 - 7*b/3 - 4/3 = 0?
-1, 4/5
Determine r, given that -3*r**2 - 3492*r - 1016172 = 0.
-582
Factor -36*j**3 - 1968*j**2 - 17920*j - 45056.
-4*(j + 44)*(3*j + 16)**2
Factor 2*i**2/11 + 652*i/11.
2*i*(i + 326)/11
Let -118*u**2/5 + 124*u/5 - 6/5 = 0. Calculate u.
3/59, 1
Factor 4*t**2 + 3680*t + 846400.
4*(t + 460)**2
Suppose m**3/7 + 37*m**2/7 + 166*m/7 + 192/7 = 0. Calculate m.
-32, -3, -2
Factor 3*k**2 - 180*k - 768.
3*(k - 64)*(k + 4)
Let g**4/4 - 23*g**3/4 - 87*g**2/4 + 239*g/4 - 65/2 = 0. Calculate g.
-5, 1, 26
Solve 5*h**5/6 + 20*h**4 + 415*h**3/3 + 220*h**2 + 605*h/6 = 0.
-11, -1, 0
Suppose -4*l**5 + 56*l**4 - 168*l**3 - 416*l**2 + 1708*l - 1176 = 0. Calculate l.
-3, 1, 2, 7
Factor -r**3/2 - 349*r**2 - 2779*r/2 - 1041.
-(r + 1)*(r + 3)*(r + 694)/2
Let -2*h**3/5 + 4*h**2/5 + 6*h/5 = 0. Calculate h.
-1, 0, 3
Factor -h**3 - 85*h**2 - 394*h + 480.
-(h - 1)*(h + 6)*(h + 80)
Factor 3*x**2/2 + 153*x/8 + 27/2.
3*(x + 12)*(4*x + 3)/8
Factor -5*i**4 + 300*i**3 - 2430*i**2 + 7020*i - 6885.
-5*(i - 51)*(i - 3)**3
Solve -2*w**4/7 + 138*w**3/7 - 262*w**2/7 - 402*w/7 = 0.
-1, 0, 3, 67
Suppose 25*f**3/2 - 23*f**2/2 - 26*f - 2 = 0. What is f?
-1, -2/25, 2
|
{
"pile_set_name": "DM Mathematics"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.