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f sequence gde when three letters picked without replacement from {g: 1, d: 1, e: 4, k: 9, n: 2}.
1/1020
Calculate prob of sequence bbi when three letters picked without replacement from ibaamb.
1/60
Two letters picked without replacement from mnmxmiiigiggxii. Give prob of sequence xg.
1/35
Two letters picked without replacement from pozoszhopozoozv. What is prob of sequence zh?
2/105
Two letters picked without replacement from {v: 5, a: 7, r: 6, x: 1}. Give prob of sequence rr.
5/57
Calculate prob of sequence jxjj when four letters picked without replacement from bjjjbjjxjjbjbj.
3/143
Three letters picked without replacement from {k: 6, t: 2}. Give prob of sequence tkt.
1/28
Three letters picked without replacement from {i: 2, r: 1, z: 1, s: 2, k: 1, y: 2}. What is prob of sequence yks?
1/126
Three letters picked without replacement from okkoooopxxkxoovopknk. Give prob of sequence oxn.
1/285
Two letters picked without replacement from vwwlqzlowlq. What is prob of sequence lw?
9/110
Calculate prob of sequence afcy when four letters picked without replacement from cydfafhfhyhhffcffdfd.
4/14535
Three letters picked without replacement from {e: 4, z: 2, o: 1, w: 3}. What is prob of sequence ewz?
1/30
Four letters picked without replacement from ggzgzggmemmzzmgzzzm. Give prob of sequence gzzm.
35/2584
Three letters picked without replacement from snbnnbqqnqbqqnn. What is prob of sequence nqs?
1/91
Calculate prob of sequence mqh when three letters picked without replacement from {q: 1, h: 5, r: 2, m: 1}.
5/504
Calculate prob of sequence elu when three letters picked without replacement from {g: 1, q: 1, l: 1, u: 1, e: 1}.
1/60
What is prob of sequence llpr when four letters picked without replacement from {p: 3, k: 8, r: 3, l: 2, b: 3}?
1/5168
Calculate prob of sequence rga when three letters picked without replacement from rggrggraggargg.
8/273
What is prob of sequence uu when two letters picked without replacement from {j: 1, u: 3}?
1/2
Calculate prob of sequence lll when three letters picked without replacement from {l: 3, t: 8}.
1/165
What is prob of sequence hruw when four letters picked without replacement from {z: 3, w: 1, u: 1, y: 5, h: 2, r: 8}?
2/14535
Four letters picked without replacement from {s: 4, r: 2}. Give prob of sequence srrs.
1/15
Two letters picked without replacement from {b: 1, x: 1, z: 1, n: 1, c: 1}. Give prob of sequence cx.
1/20
Two letters picked without replacement from axaxianreex. What is prob of sequence nx?
3/110
Two letters picked without replacement from {b: 3, u: 7, c: 9}. What is prob of sequence cb?
3/38
Two letters picked without replacement from {q: 10, f: 1, k: 6}. What is prob of sequence qq?
45/136
Calculate prob of sequence cg when two letters picked without replacement from ggcccgcgggcccg.
7/26
Three letters picked without replacement from {k: 9}. Give prob of sequence kkk.
1
Four letters picked without replacement from {t: 3, x: 3, p: 1, m: 3, u: 1, c: 2}. Give prob of sequence ctmx.
9/2860
What is prob of sequence qi when two letters picked without replacement from {q: 2, c: 6, i: 3, o: 1, x: 1}?
1/26
Calculate prob of sequence cc when two letters picked without replacement from {r: 9, c: 11}.
11/38
Calculate prob of sequence zl when two letters picked without replacement from zzlzzzlzzz.
8/45
Three letters picked without replacement from {n: 1, y: 2, e: 1, o: 1, b: 4, d: 3}. Give prob of sequence yon.
1/660
Calculate prob of sequence aa when two letters picked without replacement from {a: 6, u: 2}.
15/28
What is prob of sequence ew when two letters picked without replacement from ddbwxebxbwbddbk?
1/105
Four letters picked without replacement from {a: 2, g: 1, o: 2, p: 1}. What is prob of sequence aaoo?
1/90
Two letters picked without replacement from {r: 3, d: 2, x: 7, e: 5}. What is prob of sequence rd?
3/136
What is prob of sequence qlmm when four letters picked without replacement from {q: 1, t: 1, m: 4, l: 4}?
1/105
Calculate prob of sequence bcfb when four letters picked without replacement from {b: 3, f: 5, c: 2}.
1/84
Calculate prob of sequence hm when two letters picked without replacement from hmhhhhhhmhm.
12/55
Three letters picked without replacement from llgaulggatalgtlagla. Give prob of sequence gut.
5/2907
Calculate prob of sequence zzz when three letters picked without replacement from {k: 2, z: 18}.
68/95
What is prob of sequence wl when two letters picked without replacement from wrfflfwmwrflwl?
6/91
What is prob of sequence wt when two letters picked without replacement from tgwmggr?
1/42
Four letters picked without replacement from {a: 2, w: 4, m: 3, q: 1}. Give prob of sequence mwwm.
1/70
What is prob of sequence ff when two letters picked without replacement from qfxxqxqfxhmqif?
3/91
What is prob of sequence ul when two letters picked without replacement from vuuuvpugvvl?
2/55
Three letters picked without replacement from zzlrrlzsfssfzfszrl. What is prob of sequence rzs?
5/408
Calculate prob of sequence sc when two letters picked without replacement from {s: 2, c: 3}.
3/10
What is prob of sequence tttt when four letters picked without replacement from {t: 5, e: 7}?
1/99
What is prob of sequence jljl when four letters picked without replacement from lllljllljlll?
1/66
Calculate prob of sequence pppq when four letters picked without replacement from ppgqqppqqqqpqpgp.
7/208
Calculate prob of sequence edre when four letters picked without replacement from rddedrrddddrreeeeeed.
14/969
Calculate prob of sequence tvr when three letters picked without replacement from pvffrfvpvfvtpfrffvv.
2/969
Two letters picked without replacement from {d: 3, b: 1, k: 3, w: 1, m: 5}. Give prob of sequence bd.
1/52
Four letters picked without replacement from {h: 1, z: 1, l: 4, n: 1, y: 2}. What is prob of sequence lhnz?
1/756
Four letters picked without replacement from {j: 1, b: 10, r: 3, q: 2}. What is prob of sequence qjrb?
1/728
Two letters picked without replacement from {u: 2, l: 1, r: 2, c: 1, f: 1}. What is prob of sequence rc?
1/21
What is prob of sequence zik when three letters picked without replacement from lflzfzilkklvklizlk?
1/204
Three letters picked without replacement from {s: 2, p: 6, q: 1, m: 6, v: 2}. What is prob of sequence psv?
1/170
Two letters picked without replacement from {b: 2, r: 1}. Give prob of sequence rb.
1/3
Three letters picked without replacement from {q: 7, j: 6, p: 1, n: 1, t: 2, m: 2}. Give prob of sequence tmj.
4/969
Two letters picked without replacement from {e: 2, d: 2, u: 4}. Give prob of sequence ed.
1/14
Two letters picked without replacement from {x: 2, o: 1, w: 1, z: 2}. What is prob of sequence oz?
1/15
Two
|
{
"pile_set_name": "DM Mathematics"
}
|
or 27*n**3/5 - 129*n**2/5 - 6*n.
3*n*(n - 5)*(9*n + 2)/5
Factor 9*v**5 + 123*v**4 + 114*v**3.
3*v**3*(v + 1)*(3*v + 38)
Factor -2*u**4 - 8*u**3 - 6*u**2 + 8*u + 8.
-2*(u - 1)*(u + 1)*(u + 2)**2
Factor 3*q**2 + 2478*q + 511707.
3*(q + 413)**2
Factor l**2/4 + 13*l/4 + 15/2.
(l + 3)*(l + 10)/4
Determine l, given that -l**2/2 + 28*l - 392 = 0.
28
Factor -5*z**3 - 460*z**2 - 13780*z - 135200.
-5*(z + 26)**2*(z + 40)
Find p, given that 3*p**5 + 3*p**4 - 21*p**3 - 3*p**2 + 18*p = 0.
-3, -1, 0, 1, 2
Determine l so that -28*l**4 - 261*l**3/2 - 77*l**2 - 12*l = 0.
-4, -3/8, -2/7, 0
Find b such that 3*b**4 + 3*b**3 - 48*b**2 - 48*b = 0.
-4, -1, 0, 4
Factor -3587045*f**2 - 33880*f - 80.
-5*(847*f + 4)**2
Factor -4*l**2 - 248*l + 252.
-4*(l - 1)*(l + 63)
Determine b, given that -3*b**2/2 - 119*b/2 + 20 = 0.
-40, 1/3
Factor y**4 + 457*y**3 + 51520*y**2 - 158700*y.
y*(y - 3)*(y + 230)**2
Let -12*p**5 - 1946*p**4 - 77092*p**3 + 145962*p**2 - 80360*p + 13448 = 0. Calculate p.
-82, 1/3, 1/2, 1
Factor 9*h**4 + 114*h**3 + 171*h**2 + 66*h.
3*h*(h + 1)*(h + 11)*(3*h + 2)
Factor -2*n**2 + 26*n + 60.
-2*(n - 15)*(n + 2)
Suppose -2*z**4 - 52*z**3 - 142*z**2 - 92*z = 0. What is z?
-23, -2, -1, 0
Solve 4*o**2/5 + 22736*o/5 + 32307856/5 = 0 for o.
-2842
Solve -30*y**3 + 1168*y**2 + 2522*y + 820 = 0 for y.
-5/3, -2/5, 41
Factor 9*k**4/5 + 38*k**3/5 + 53*k**2/5 + 28*k/5 + 4/5.
(k + 1)**2*(k + 2)*(9*k + 2)/5
Suppose 3*p**2/5 - 4116*p/5 + 1411788/5 = 0. Calculate p.
686
Determine z, given that -2*z**3/7 + 54*z**2/7 - 270*z/7 - 1350/7 = 0.
-3, 15
Determine q so that -2*q**3/13 - 224*q**2/13 - 34*q - 220/13 = 0.
-110, -1
Solve 2*z**5 + 30*z**4 + 134*z**3 + 186*z**2 + 80*z = 0 for z.
-8, -5, -1, 0
Factor -y**3/3 + 13*y**2/3 + 11*y - 15.
-(y - 15)*(y - 1)*(y + 3)/3
Solve 16*s**4 + 116*s**3 + 204*s**2 + 124*s + 20 = 0.
-5, -1, -1/4
Solve 2*y**5 + 5*y**4/2 - 51*y**3/4 - 4*y**2 + 31*y/4 - 3/2 = 0 for y.
-3, -1, 1/4, 1/2, 2
Factor -2*q**3/5 - 24*q**2/5 - 34*q/5 + 12.
-2*(q - 1)*(q + 3)*(q + 10)/5
Factor 198044802*k**2/13 - 79608*k/13 + 8/13.
2*(9951*k - 2)**2/13
Factor -4*q**2/3 - 10*q/3 - 2.
-2*(q + 1)*(2*q + 3)/3
Factor 4*o**3 - 36*o**2 - 304*o + 336.
4*(o - 14)*(o - 1)*(o + 6)
Factor 3*o**2 + 27*o - 30.
3*(o - 1)*(o + 10)
Factor 2*g**5/3 + 2*g**4 - 88*g**3 + 1312*g**2/3 - 640*g.
2*g*(g - 4)**3*(g + 15)/3
Let 28*t**2 + 16*t + 12/7 = 0. What is t?
-3/7, -1/7
Solve t**4/7 + 32*t**3/7 - 3*t**2/7 - 14*t - 64/7 = 0.
-32, -1, 2
Factor -2*d**5/5 + 84*d**4/5 - 794*d**3/5 - 1848*d**2/5 - 968*d/5.
-2*d*(d - 22)**2*(d + 1)**2/5
Find i such that 2*i**2/9 - 22*i/9 + 4 = 0.
2, 9
Suppose -2*y**2/13 - 180*y/13 - 4050/13 = 0. Calculate y.
-45
Find q such that 5*q**4 + 145*q**3 - 3015*q**2 - 145*q + 3010 = 0.
-43, -1, 1, 14
Factor -2*h**3 + 2508*h**2 - 1048344*h + 146069264.
-2*(h - 418)**3
Factor 2*p**4/15 - 4*p**3 + 386*p**2/15 + 64*p + 512/15.
2*(p - 16)**2*(p + 1)**2/15
What is b in b**3 + 10*b**2 + 17*b + 8 = 0?
-8, -1
Factor 3*s**3 - 264*s**2 - 540*s.
3*s*(s - 90)*(s + 2)
Suppose 8*z**5/11 - 398*z**4/11 + 292*z**3/11 + 98*z**2/11 = 0. What is z?
-1/4, 0, 1, 49
Factor 144*y**2 + 1300*y + 36.
4*(y + 9)*(36*y + 1)
Suppose -2*i**2/5 + 272*i/5 + 274/5 = 0. What is i?
-1, 137
Determine x, given that 3*x**5 - 21*x**4 - 54*x**3 - 6*x**2 + 51*x + 27 = 0.
-1, 1, 9
Factor 2*y**4 + 24*y**3 + 100*y**2 + 168*y + 90.
2*(y + 1)*(y + 3)**2*(y + 5)
Factor c**2/2 + 34*c - 69/2.
(c - 1)*(c + 69)/2
Determine l, given that l**3/2 + 69*l**2/2 + 612*l + 578 = 0.
-34, -1
Factor 2*i**2 + 2548*i + 811538.
2*(i + 637)**2
Factor -c**4/7 - 172*c**3/7 + 347*c**2/7 - 174*c/7.
-c*(c - 1)**2*(c + 174)/7
Let -6*g**3/11 - 786*g**2/11 - 26130*g/11 - 25350/11 = 0. Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
, -57303?
-57377
What is next in -237, -201, -165, -129, -93?
-57
What is next in 18546, 37013, 55480, 73947, 92414, 110881?
129348
What is next in -233419, -233411, -233401, -233389, -233375, -233359, -233341?
-233321
What is next in -551, -203, 377, 1195, 2257?
3569
What comes next: 7749, 30957, 69623, 123741, 193305, 278309, 378747?
494613
What is the next term in 53480, 53479, 53478, 53477?
53476
What comes next: -3198, -2559, -1920, -1281, -642?
-3
What comes next: -642, -1708, -3204, -5130, -7486?
-10272
What is the next term in -604, -1990, -4280, -7474, -11572?
-16574
What is the next term in -107, -109, -133, -191, -295, -457, -689, -1003?
-1411
What comes next: 33438, 33450, 33474, 33516, 33582, 33678?
33810
What comes next: -131, -102, 1, 214, 573?
1114
What is the next term in -302803, -302804, -302805, -302806, -302807, -302808?
-302809
What is the next term in -567, -1209, -1851, -2493, -3135?
-3777
What comes next: 597, 1165, 1733, 2301, 2869?
3437
What is next in 2435, 9692, 21787, 38720, 60491?
87100
What is the next term in -173741, -347477, -521201, -694907, -868589, -1042241?
-1215857
What is the next term in -3494, -7054, -10614?
-14174
What is the next term in 659, 2503, 5583, 9899?
15451
What is next in -590, -4786, -16204, -38456, -75154, -129910, -206336?
-308044
What is the next term in -573369, -573370, -573371, -573372, -573373, -573374?
-573375
What comes next: 110, 204, 350, 542, 774, 1040, 1334?
1650
What is the next term in -61953, -123907, -185861, -247815?
-309769
What comes next: 49412, 98828, 148244?
197660
What is the next term in 735, -2594, -8143, -15912, -25901, -38110, -52539?
-69188
What is next in 20, 186, 660, 1604, 3180, 5550, 8876, 13320?
19044
What comes next: -1002, -2026, -3050?
-4074
What comes next: -89, -190, -113, 232, 935, 2086, 3775?
6092
What is next in 402, 1661, 3764, 6711, 10502, 15137, 20616?
26939
What is the next term in 230, 980, 2230, 3980, 6230?
8980
What comes next: 512446, 1024883, 1537318, 2049751, 2562182, 3074611?
3587038
What is the next term in 6105, 12200, 18289, 24372?
30449
What comes next: -10870, -21726, -32582, -43438, -54294, -65150?
-76006
What comes next: -5499, -5418, -5337, -5256, -5175, -5094?
-5013
What is next in -655, 102, 859, 1616, 2373, 3130?
3887
What is the next term in 381495, 381494, 381493, 381492, 381491, 381490?
381489
What is the next term in 723324, 1446645, 2169966?
2893287
What comes next: -6554, -6557, -6564, -6575, -6590, -6609, -6632?
-6659
What is the next term in -110521, -221031, -331545, -442063?
-552585
What is the next term in 510, 973, 1426, 1869?
2302
What is the next term in 96258, 96247, 96236, 96225?
96214
What is the next term in -216865, -433721, -650575, -867427, -1084277, -1301125?
-1517971
What comes next: -212090, -212094, -212098, -212102?
-212106
What is next in -285, -1187, -2709, -4857, -7637, -11055, -15117, -19829?
-25197
What is the next term in -2409, -3876, -5343?
-6810
What is next in -14452, -28929, -43406, -57883, -72360, -86837?
-101314
What comes next: -33, -60, -81, -96, -105?
-108
What comes next: 89, 173, 257, 341, 425, 509?
593
What comes next: 1585, 2269, 2951, 3631, 4309, 4985?
5659
What comes next: -6, 43, 104, 183, 286?
419
What is the next term in 194, 814, 1868, 3374, 5350, 7814, 10784?
14278
What is next in -877943, -877945, -877947?
-877949
What is the next term in -122440, -244880, -367320, -489760?
-612200
What comes next: -20859, -20855, -20851, -20847, -20843, -20839?
-20835
What is the next term in 181270, 181271, 181272, 181273, 181274?
181275
What is the next term in 105, -30, -167, -306, -447, -590, -735?
-882
What is next in -2819, -3493, -4169, -4847, -5527, -6209, -6893?
-7579
What comes next: 992, 762, 372, -184, -912, -1818?
-2908
What is next in -6079, -6066, -6047, -6022, -5991?
-5954
What is next in -86, 5, 152, 349, 590, 869, 1180?
1517
What is the next term in 1346, 1291, 1236?
1181
What is next in -988, -1903, -2808, -3697, -4564, -5403, -6208?
-6973
What comes next: -1454, -1569, -1686, -1805, -1926, -2049, -2174?
-2301
What comes next: 7205, 7215, 7239, 7283, 7353, 7455, 7595, 7779?
8013
What is next in -18013, -36026, -54035, -72040, -90041, -108038, -126031?
-144020
What comes next: 166, 317, 394, 361, 182, -179?
-758
What is next in -351, -1041, -2109, -3555, -5379, -7581, -10161?
-13119
What is the next term in 1214, 1662, 2408, 3452, 4794, 6434?
8372
What is next in -97, -446, -1025, -1834, -2873, -4142?
-5641
What is next in -261, -315, -393, -495?
-621
What comes next: 248, 967, 2168, 3851, 6016, 8663?
|
{
"pile_set_name": "DM Mathematics"
}
|
). What is v(a)?
8
Let u(x) = x. Let b(n) = -2 + 25*n**2 - 16*n**2 + n**3 + 4*n - 15*n**2. Let z(t) = -b(t) + 3*u(t). Give z(6).
-4
Let h(u) be the third derivative of u**6/6 + u**5/30 + u**4/24 + 2*u**2 + 67*u. Give h(-1).
-19
Let b(g) = -g**3 - 5*g**2 + 3*g + 6. Let t(n) = -15*n - 65. Let c be t(-21). Suppose -25 = -245*m + c*m. What is b(m)?
-9
Let p(f) = f**2 + 2*f. Suppose -5*r - 21 = 2*h, 5*r - 4*h - 6 = 3*r. Give p(r).
3
Suppose -2*o + 0*o = -32. Suppose 3*w + o = -w. Let n(q) = -q - 3. What is n(w)?
1
Let k(l) = -l**3 + l**2 + l - 1. Let p(g) = g**3 + 8*g**2 - 7*g + 6. Let u be p(-9). Let o(j) = -j**3 - 13*j**2 - 12*j. Let h be o(u). Give k(h).
-1
Let d(i) = i + 2*i - 108 + 215 - 106 - 7*i**2 - i. Suppose 0 = -4*a - h - 4, -3 = 4*a + 5*h + 1. Calculate d(a).
-8
Let k be (5/25*-4)/((-2)/(-10)). Let t(y) be the second derivative of -y**3/6 + y**2 - 22*y. What is t(k)?
6
Let j(l) = l**3 + 9*l**2 + 9*l - 5. Let w be 80/(-280) + (-40)/7 - 2. What is j(w)?
-13
Let m(k) = 5*k**3 + 8*k**2 + 2*k + 4. Let d(t) = 6*t**3 + 8*t**2 + t + 4. Let q(c) = 6*d(c) - 7*m(c). What is q(9)?
5
Let f(r) = r**2 + r - 8. Suppose -316*d = -327*d + 66. Calculate f(d).
34
Let w(t) = -2*t**3 - t**2. Let r = -318 - -317. What is w(r)?
1
Let c(o) = 2*o - 1. Let h(g) = -2*g - 2. Let q(l) = -c(l) - 3*h(l). Determine q(-5).
-13
Let f(i) = 6*i + 54. Let u be f(-11). Let y(o) = o + 16. Let t be y(u). Let w(s) = 5*s**3 + 3*s**2 + 1 + 2*s - 2*s**3 - 4*s**3. Determine w(t).
-7
Let p(u) = -3*u + 3*u - 7*u. Suppose 6*m - 3*m = -3. What is p(m)?
7
Let i(c) be the first derivative of -c**3/2 - c**2/2 + 3*c - 1. Let r(t) be the first derivative of i(t). Determine r(-1).
2
Suppose -2*t - 4*l = -0*t + 16, 3*t = -3*l - 12. Let d(r) be the second derivative of 2*r**2 + t - 1/6*r**3 + 6*r. Calculate d(-4).
8
Let q(x) = 2*x**2. Let l = 29 + -26. Suppose 2 = -2*d - 2*s, -l*s - s = 5*d. Suppose 2*o + 3*y + 1 + 7 = 0, 0 = d*o + 5*y + 14. What is q(o)?
2
Let w(p) = -p**3 - 3*p**2 - p - 1. Let y be (28/(-45) - 46/(-207))*5. Calculate w(y).
-3
Let p(u) = -u**2 - 5*u - 3. Let h(v) = -3*v**2 + v. Suppose -5*o + 2*o = 3. Let f be o*((1 - 1) + 1). Let z be h(f). Give p(z).
1
Let x(j) be the third derivative of j**6/40 - j**5/20 + j**4/24 - j**3/6 + 6*j**2. Suppose -4*c = 13*c - 34. Calculate x(c).
13
Suppose -3*r = 15, 3*n + 0*r = -5*r - 58. Let p(u) = u**3 + 11*u**2 + u + 10. Determine p(n).
-1
Let h(a) = -a**3 - 7*a**2 + 5*a - 10. Let j = -499 + 491. Give h(j).
14
Let t(q) be the third derivative of 0*q**4 + 0*q + 0 - 6*q**2 + 0*q**3 + 1/10*q**5. Determine t(-1).
6
Suppose -3*g + 8*g = -25. Let f(a) = -2*a - 9. Determine f(g).
1
Let z(x) be the first derivative of -23 + 5/2*x**2 + 4*x + 1/3*x**3. Let c(k) = k - 2. Let r be c(-3). Calculate z(r).
4
Let m(r) = 2*r - 7. Let f(d) = -d + 3. Let w(q) = 7*f(q) + 4*m(q). Let p be w(5). Let y(u) = 2 + 3319*u**2 - 2 + 3*u - 3315*u**2. What is y(p)?
10
Let o(b) = -b**3 + 16*b**2 + 19*b - 23. Let u be o(17). Suppose -u = -7*k + 10. Let r(f) = -3*f + 7. Let q be r(k). Let v(d) = -d**2 - 3*d - 3. Calculate v(q).
-1
Suppose -2*g + 0 = -h - 1, 0 = -2*h - 4*g + 6. Let r(a) = -6*a. Give r(h).
-6
Let j(a) = -19*a - 4. Let m(u) = -9*u + 50 + 44 - 96. Let l(y) = 4*j(y) - 9*m(y). Calculate l(2).
12
Let s(q) = 4*q**2 + 7*q - 13. Let w(y) = -5*y**2 - 9*y + 15. Let b(z) = 7*s(z) + 6*w(z). Give b(-4).
-13
Let p(r) be the second derivative of r**4/12 + r**3/6 + 3*r**2 - 14*r. Let q(v) be the first derivative of p(v). Calculate q(-5).
-9
Let h = 64 - 63. Let g(z) = 9*z - 8*z + h - 2 - 2. Calculate g(5).
2
Let c(w) be the first derivative of -w**4/4 - 4*w**3/3 + w**2/2 - 12*w - 374. Determine c(-5).
8
Suppose -8*y + 19 = -13. Let w(z) = 3 + 2*z + 4*z - y*z + 3. Determine w(-7).
-8
Let o(m) = -m**2 + m + 1. Let d = 30 - -7. Let c = 41 - d. Calculate o(c).
-11
Let u(k) be the second derivative of 4/3*k**3 + 27*k - 1/20*k**5 + 0 - 4*k**2 + 1/2*k**4
|
{
"pile_set_name": "DM Mathematics"
}
|
3 decimal places?
-0.006
Let s = 827.99503 + -828. Let z = s + 2.00167. Let d = z + -2. Round d to 3 dps.
-0.003
Let a = -94 + 110.3. Let d = 4.304 + 0.796. Let o = a - d. What is o rounded to zero dps?
11
Let t = -7109.010758 + 7109. Round t to 3 decimal places.
-0.011
Let w = -3414 + 2906. Round w to the nearest 100.
-500
Let a = 4808.00004036 - 4808. What is a rounded to 5 dps?
0.00004
Let q = -48.299998322 + 48.3. Round q to 7 decimal places.
0.0000017
Suppose -4*n - 4*n + 72 = 0. Let p be 0 - -351 - (13 - n). Suppose 5*q = -3*l - p, -5*q - 3*l - 2*l - 345 = 0. What is q rounded to the nearest 10?
-70
Let c(i) = -1698*i**3 - 7*i + 11. Let d be c(-6). Let k be d/26*(1 - 1895). Let z = 9421499 + k. Round z to the nearest one million.
-17000000
Let n = -3498 - -3497.98677. Round n to 3 dps.
-0.013
Let t = -0.07574 + 0.14822. Round t to two decimal places.
0.07
Let n = -10244.719 + 10244.13899665. Let v = n - -0.58. What is v rounded to six dps?
-0.000003
Let s = -0.01898 - -0.018959822. What is s rounded to six decimal places?
-0.00002
Let y = 324.161 - 0.261. Let j = y - 358. Round j to the nearest integer.
-34
Let r = 505.19841151304 + 0.05158828696. Let y = r - 592.249984. Let j = y - -87. What is j rounded to 6 dps?
0.000016
Let y = -57 - -229. Let h = y - 168.33. Let w = h - -11.43. Round w to zero decimal places.
15
Let f(a) = a**2 - 47*a - 69. Let c be f(49). Suppose -38*r = -c*r + 15291. What is r rounded to the nearest one hundred?
-1700
Let t = 1009.1334509 - 312.1329563. Let i = t - 697. What is i rounded to 5 decimal places?
0.00049
Let z = 1638.565486 - 1.907486. Let n = -1631 + z. What is n rounded to the nearest integer?
6
Suppose 0 = -33*f - 19*f + 260. Suppose 0 = -f*d + 15, -2*a - a - 261 = -d. What is a rounded to the nearest 10?
-90
Let t be (-120)/(-45) - (-2)/(-3). Suppose -2*u = -t*v - 40, -3*u + 20 + 32 = 5*v. Suppose 0*i = -i - u. What is i rounded to the nearest integer?
-19
Let l = 0.721 - 609.721. Let g = l + 518.3. What is g rounded to the nearest integer?
-91
Let s = -14451.00017958 + 14451. What is s rounded to 5 dps?
-0.00018
Let b = 276844 - 456004. Round b to the nearest 10000.
-180000
Let o = -343577341 + 661484506. Suppose 271292835 = -12*k - o. What is k rounded to the nearest 1000000?
-49000000
Let m = -42 - -70. Suppose -m*f = -25*f - 9. Suppose -f*x + 5880316 = 316. Round x to the nearest one hundred thousand.
2000000
Let f = -0.2 + 52.2. Let c = f - 56.1. Let v = c + 4.100121. What is v rounded to five decimal places?
0.00012
Let i be (-88)/(-3)*(-7)/(672/(-881640)). Round i to the nearest 1000.
269000
Let q = -11092 + 8556. What is q rounded to the nearest one thousand?
-3000
Suppose -j = 53 - 3. Let w = -46 - j. Suppose 544000 = 4*a + w*a. What is a rounded to the nearest ten thousand?
70000
Let f = 6120.9993305 + -6121. Round f to 4 decimal places.
-0.0007
Let k = 4246.941 + -4244. What is k rounded to two decimal places?
2.94
Let y = 2313.999997769 - 2314. What is y rounded to seven decimal places?
-0.0000022
Let s = -1759.7 + 1270.5. What is s rounded to the nearest 1000?
0
Let n = -1169579992 + 1169523948.7297. Let j = n - -56165.2703188. Let c = -122 + j. Round c to six dps.
0.000019
Suppose -3*b + 2 = -4. Let u be (0 + (b - 0))*2855/(-10). Round u to the nearest one hundred.
-600
Let p = 0.055208623 + -0.055185. Round p to 7 dps.
0.0000236
Let b = -48.190711 - -349570.660711. Let x = b + -349546.169889. Let d = -23.7 - x. What is d rounded to five decimal places?
-0.00011
Let q = -1559 + 1500.27. What is q rounded to the nearest ten?
-60
Let m = 55 - -157. Let t = m - 218.25. What is t rounded to 1 dp?
-6.3
Let l = 42857120 - 21509120. What is l rounded to the nearest 1000000?
21000000
Let h = -178.75 - 31080.25. Let o = 31264.4092 + h. Let j = -5.4 + o. What is j rounded to three dps?
0.009
Let w = 303425 - 511095. What is w rounded to the nearest ten thousand?
-210000
Let v = 7109 - 2804. What is v rounded to the nearest 1000?
4000
Let n = 2142.3 + -1923.233. Let r = n + -219. What is r rounded to two decimal places?
0.07
Let t = 521870 + -525027.21. What is t rounded to the nearest 10?
-3160
Let d = 25883883.4 + -25883871.59999949. Let h = -139 + 150.8. Let x = d - h. What is x rounded to seven decimal places?
0.0000005
Let q = 439 - 437. Let s be ((-25600)/(-96))/(q/(-1995)). What is s rounded to the nearest 10000?
-270000
Let w = -37906 - -37906.00034886. Round w to five decimal places.
0.00035
Suppose 5*t - 3*s = -4*s - 35, -s + 21 = -3*t. Let x be (-8 + t)/(-5) + 144/2. Round x to the nearest ten.
80
Suppose 0 = -4*t + 55*w - 50*w + 21267985, 0 = 4*t + 5*w - 21268015. Round t to the nearest one hundred thousand.
5300000
Let z = 25.99 - -1161.01. Let s = z - 1186.7999. What is s rounded to two dps?
0.2
Let p = -85 - -151. Let s = p - 66.083. Let c = s + 0.08300051. Round c to seven dps.
0.0000005
Suppose -38*f + 420 = 4*f. Suppose f*r + 8*r = 61380. What is r rounded to the nearest 1000?
3000
Let f = -5689569 + 9045569. Round f to the nearest one hundred thousand.
3400000
Let r = -167 + 387. Let n = r + -100. Let w = n - 119.999988. What is w rounded to five decimal places?
0.00001
Let m(c) = c**2 + 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
factors of 3383282?
2, 7, 241663
List the prime factors of 4954666.
2, 2477333
What are the prime factors of 2880022?
2, 1440011
What are the prime factors of 2444502?
2, 3, 19, 41, 523
List the prime factors of 9979294.
2, 13, 19, 20201
What are the prime factors of 6764259?
3, 223, 10111
What are the prime factors of 343346?
2, 171673
What are the prime factors of 20081664?
2, 3, 2179
List the prime factors of 2478741.
3, 37, 137, 163
What are the prime factors of 5702361?
3, 7, 17, 15973
List the prime factors of 13252388.
2, 431, 7687
What are the prime factors of 1160842?
2, 67, 8663
List the prime factors of 45519.
3, 15173
What are the prime factors of 5435581?
283, 19207
List the prime factors of 2153978.
2, 89, 12101
List the prime factors of 24967940.
2, 5, 967, 1291
What are the prime factors of 217271?
217271
What are the prime factors of 260897?
7, 13, 47, 61
List the prime factors of 34789195.
5, 7, 993977
What are the prime factors of 1877508?
2, 3, 52153
List the prime factors of 4795110.
2, 3, 5, 53279
List the prime factors of 2089015.
5, 29, 14407
What are the prime factors of 850624?
2, 13291
List the prime factors of 1632662.
2, 37, 22063
List the prime factors of 733315.
5, 11, 67, 199
What are the prime factors of 12487826?
2, 13, 17, 19, 1487
What are the prime factors of 1517998?
2, 17, 44647
What are the prime factors of 5509141?
11, 500831
List the prime factors of 3529408.
2, 55147
What are the prime factors of 167344?
2, 10459
What are the prime factors of 13187978?
2, 41, 160829
What are the prime factors of 13587696?
2, 3, 71, 443
What are the prime factors of 703402?
2, 7, 47, 1069
What are the prime factors of 17179046?
2, 8589523
What are the prime factors of 26331676?
2, 7, 41, 22937
List the prime factors of 2588805.
3, 5, 57529
What are the prime factors of 11101391?
7, 17, 13327
What are the prime factors of 7124113?
331, 21523
What are the prime factors of 410305?
5, 7, 19, 617
What are the prime factors of 1738660?
2, 5, 7, 11, 1129
What are the prime factors of 4228912?
2, 113, 2339
List the prime factors of 124430.
2, 5, 23, 541
What are the prime factors of 219802?
2, 11, 97, 103
List the prime factors of 246633.
3, 229, 359
What are the prime factors of 3703366?
2, 19, 41, 2377
List the prime factors of 11149434.
2, 3, 23, 47, 191
List the prime factors of 509747.
7, 101, 103
What are the prime factors of 4706967?
3, 73, 21493
List the prime factors of 3098043.
3, 13, 26479
List the prime factors of 477365.
5, 7, 23, 593
List the prime factors of 1228114.
2, 17, 41, 881
What are the prime factors of 242918?
2, 13, 9343
What are the prime factors of 12099631?
17, 733, 971
What are the prime factors of 1021606?
2, 510803
List the prime factors of 4813806.
2, 3, 193, 4157
What are the prime factors of 808571?
17, 47563
What are the prime factors of 243963?
3, 27107
What are the prime factors of 25178652?
2, 3, 23, 47, 647
What are the prime factors of 8654?
2, 4327
List the prime factors of 2385255.
3, 5, 159017
What are the prime factors of 4066489?
7, 580927
List the prime factors of 786980.
2, 5, 19, 109
What are the prime factors of 97938?
2, 3, 5441
What are the prime factors of 22702?
2, 11351
What are the prime factors of 587021?
587021
What are the prime factors of 362002?
2, 181001
List the prime factors of 34112873.
71, 480463
List the prime factors of 2638168.
2, 13, 25367
List the prime factors of 1490947.
263, 5669
List the prime factors of 538858.
2, 269429
What are the prime factors of 8279090?
2, 5, 523, 1583
List the prime factors of 266347.
83, 3209
List the prime factors of 144860.
2, 5, 7243
List the prime factors of 192168.
2, 3, 17, 157
List the prime factors of 954664.
2, 47, 2539
What are the prime factors of 69066?
2, 3, 1279
List the prime factors of 369029.
369029
List the prime factors of 1441357.
199, 7243
What are the prime factors of 9928513?
7, 263, 5393
List the prime factors of 843000.
2, 3, 5, 281
What are the prime factors of 22675?
5, 907
What are the prime factors of 3016681?
1621, 1861
List the prime factors of 160967.
160967
List the prime factors of 714838.
2, 113, 3163
What are the prime factors of 382016?
2, 47, 127
List the prime factors of 26028830.
2, 5, 53, 67, 733
List the prime factors of 537054.
2, 3, 7, 19, 673
What are the prime factors of 24388737?
3, 67, 1811
List the prime factors of 177371.
83, 2137
List the prime factors of 37439683.
41, 47, 19429
List the prime factors of 217109.
199, 1091
What are the prime factors of 226103?
226103
What are the prime factors of 685640?
2, 5, 61, 281
What are the prime factors of 254390?
2, 5, 25439
What are the prime factors of 110137?
241, 457
What are the prime factors of 289987?
289987
List the prime factors of 1293664.
2, 40427
What are the prime factors of 2387759?
11, 217069
What are the prime factors of 33397?
7, 13, 367
List the prime factors of 2749477.
89, 30893
List the prime factors of 22565682.
2, 3, 417883
What are the prime factors of 141709?
141709
List the prime factors of 7378858.
2, 101, 36529
List the prime factors of 97859.
97859
What are the prime factors of 301857?
3, 239, 421
List the prime factors of 5725730.
2, 5, 572573
List the prime factors of 155092.
2, 7, 29, 191
What are the prime factors of 4874567?
4874567
What are the prime factors of 603726?
2, 3, 100621
List the prime factors of 10208113.
23, 839
What are the prime factors of 1917852?
2, 3, 71, 2251
List the prime factors of 1921090.
2, 5, 19, 10111
What are the prime factors of 96321?
3, 97, 331
List the prime factors of 30167856.
2, 3, 69833
List the prime factors of 1268178.
2, 3, 97, 2179
What are the prime factors of 6443707?
397, 16231
What are the prime factors of 2229906?
2, 3, 7, 53093
List the prime factors of 2766608.
2, 13, 47, 283
List the prime factors of 160849.
13, 12373
List the prime factors of 269
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 486157679*d**2 + 27*d**3.
26*d**3
Collect the terms in 12847 - 12847 + 107687*g.
107687*g
Collect the terms in 394 + 8*j**3 - 6*j**3 - 3*j**2 + 518 + 0*j**2 + 267.
2*j**3 - 3*j**2 + 1179
Collect the terms in -313*k - 161 - 618 + 779 + 180*k.
-133*k
Collect the terms in -39859398 - 4*j + 39859398 - 15*j.
-19*j
Collect the terms in -6*w + 2*w - 11*w - 3*w**2 - 17690 - 7*w + 20*w.
-3*w**2 - 2*w - 17690
Collect the terms in -1773170 + 887710 - 2*v + 885460.
-2*v
Collect the terms in 8714*f + 23060*f + 527*f - 770*f.
31531*f
Collect the terms in -13*t**2 - 22*t**2 - 8 + 6 + 33*t + 3 + 4*t**2 - 33*t.
-31*t**2 + 1
Collect the terms in -1022*v + 1032*v + 4282*v + 2456*v.
6748*v
Collect the terms in -1658*l + 5014*l - 1664*l - 1690*l + 300*l**3.
300*l**3 + 2*l
Collect the terms in -397*z + 469*z**3 + 397*z - 403*z**3.
66*z**3
Collect the terms in 0*a + 4*a**2 - a**3 + 938 - 28684 + 0*a - 3*a**2.
-a**3 + a**2 - 27746
Collect the terms in 64879*o**2 - 50099*o**2 + 60828*o**2.
75608*o**2
Collect the terms in -60 + 118 - 58 - 144674*u.
-144674*u
Collect the terms in -40 - 4460946*g**3 - 45 + 162 - 38 + 4460940*g**3 - 39.
-6*g**3
Collect the terms in -11 - 12834876*b - 15 + 12834865*b.
-11*b - 26
Collect the terms in 18*w + 163*w**2 + 431*w + 280*w - 586*w**2.
-423*w**2 + 729*w
Collect the terms in -247 - 2*y**2 + 1787*y - 1521*y - 263*y.
-2*y**2 + 3*y - 247
Collect the terms in 50*m**2 - 67 + 34*m - 30*m**2 - 21*m**2 + 53 - m.
-m**2 + 33*m - 14
Collect the terms in -8916*q - 1 + 11 - 10 - 4.
-8916*q - 4
Collect the terms in -55600 + 55600 - 11319822*u + 11319822*u + 15*u**2.
15*u**2
Collect the terms in 3909*r - 4041*r + 2308 + 2121.
-132*r + 4429
Collect the terms in 3371*w**2 - 1679*w**2 - 1689*w**2 - 207 + 207.
3*w**2
Collect the terms in 2*g**2 - 145 - 166*g**3 - 4*g + 3*g - 876.
-166*g**3 + 2*g**2 - g - 1021
Collect the terms in -47960 + 23233 - 3*p + 24727 - p.
-4*p
Collect the terms in 340*v**3 + 155*v**3 + 256*v**3.
751*v**3
Collect the terms in -4449*w - 3497*w - 15375*w - 82*w.
-23403*w
Collect the terms in 611*h + 3095*h**3 - 1232*h + 621*h.
3095*h**3
Collect the terms in 84*z**3 + 53 - 44*z**3 - 49.
40*z**3 + 4
Collect the terms in 2037*g**3 + 52 - 40 - 2066*g**3.
-29*g**3 + 12
Collect the terms in 6*z**2 + 156927015*z - 2*z**2 - 156927015*z.
4*z**2
Collect the terms in 4377952*o - 4377952*o + 24*o**2.
24*o**2
Collect the terms in 7545*k - 14736*k + 7165*k.
-26*k
Collect the terms in -4*k**3 - 21*k + 13973*k**2 - 27942*k**2 + 13969*k**2 - 2*k**3.
-6*k**3 - 21*k
Collect the terms in -2205*p + 2205*p + 551*p**2 + 1049*p**2 - 372*p**2.
1228*p**2
Collect the terms in 10*s**3 - 3479*s - 8*s**3 + 60*s**2 + 3475*s.
2*s**3 + 60*s**2 - 4*s
Collect the terms in 75*p + 109*p + 95*p - 296*p + 41*p + 140*p.
164*p
Collect the terms in 14512*f + 8118*f + 2281*f - 795*f.
24116*f
Collect the terms in 1214*b + 1223*b - 3664*b - 7*b**2 + 1223*b.
-7*b**2 - 4*b
Collect the terms in 3711819433*w**3 - 2 - 3711819438*w**3 + 2.
-5*w**3
Collect the terms in 7072*d - 3075*d + 6308*d + 2689*d.
12994*d
Collect the terms in -601552 - p**2 - 2*p**2 + p**2 - 721426.
-2*p**2 - 1322978
Collect the terms in 22304 + 181*w + 128*w - 44598 + 102*w + 22294.
411*w
Collect the terms in j**3 - 62491*j + 20760*j + 20815*j + 20807*j.
j**3 - 109*j
Collect the terms in -3562956*l + 3562956*l + l**3.
l**3
Collect the terms in 167445*d - 8198*d + 2*d**2 + 12596*d.
2*d**2 + 171843*d
Collect the terms in 12*y**2 + 14*y**2 - 8525*y**3 - 26*y**2.
-8525*y**3
Collect the terms in 42*s**2 + 9*s - 160*s**2 + 45 - 20*s - 43.
-118*s**2 - 11*s + 2
Collect the terms in 10*x - 1738*x**2 - 2253*x**2 - 10*x + 6298*x**2 - 2308*x**2.
-x**2
Collect the terms in 1 + 10491*j**2 + 10766*j**2 - 21368*j**2 - 1.
-111*j**2
Collect the terms in 1236422210*m**2 - 2*m - 1236422210*m**2 + 31*m**3 + 0*m.
31*m**3 - 2*m
Collect the terms in 1129*c**3 + 2807*c - 8419*c + 2809*c + 2803*c.
1129*c**3
Collect the terms in 363*j + 299*j - 218*j + 226*j - 961*j**2.
-961*j**2 + 670*j
Collect the terms in 3*k + 3817 + 7355 - k - 1735.
2*k + 9437
Collect the terms in 22445*h - 7483*h - 7463*h - 7484*h + 0 + 18.
15*h + 18
Collect the terms in -563 - 659*o + 105 + 96 + 365.
-659*o + 3
Collect the terms in 192*t**2 - 712575 - 176*t**2 + 712575.
16*t**2
Collect the terms in 1443
|
{
"pile_set_name": "DM Mathematics"
}
|
/3 - 4*t - 34. Find the third derivative of f(c) wrt c.
120*c**3
Suppose -3*s + 4*p = -4*s + 7, -4*s - 3*p + 15 = 0. What is the third derivative of -442*c - 22*c**s + 442*c - 5*c**2 wrt c?
-132
Let k(r) = 12*r**2 + 3*r - 1. Let j be k(-2). What is the derivative of -j + 36*l + 18*l + 0*l wrt l?
54
Suppose -2*n + 6 = n. What is the second derivative of -1 - 8*j**3 + 1 + n*j**3 + 2*j wrt j?
-36*j
Let v be 5/3 - 5/(-15). What is the third derivative of -21*u**4 + 13*u**2 + 17*u**v + 11*u**2 - 9*u**4 wrt u?
-720*u
Let c(x) = 473*x**3 - 4*x**2 - 28*x - 3. Let z(t) = 3*t**3 - t**2 - 1. Let a(f) = -c(f) + 4*z(f). What is the second derivative of a(g) wrt g?
-2766*g
Suppose -3 = -4*k + 9. Let l(t) be the first derivative of -1/3*t**k - 4*t - 1 + 0*t**2. What is the first derivative of l(o) wrt o?
-2*o
Let y be 10*-1 + 5 + -3. Let f be 2/y + (-78)/(-24). What is the second derivative of q**f + 4*q**3 - q - q wrt q?
30*q
Let g be (8/5)/(4/10). Suppose -n = -g*n + 6. Differentiate 3 - n*o - 5 + 2*o + 3*o**3 with respect to o.
9*o**2
Let u(i) be the first derivative of -34*i**6/3 - 2*i**3/3 + 12*i + 62. Find the third derivative of u(b) wrt b.
-4080*b**2
Suppose -11*w - 30 = -16*w. Suppose -26 = -5*s - p, -2*s + 1 = -3*p - w. What is the second derivative of -f - 15*f**3 + s*f**3 + 12*f**3 + 9*f**3 wrt f?
66*f
Let t(h) be the second derivative of -h**7/21 - 3*h**3/2 - 3*h**2/2 + 8*h. Let y(m) be the first derivative of t(m). What is the first derivative of y(a) wrt a?
-40*a**3
Let d(j) = 4*j**2 + j + 6. Let s be d(-3). What is the first derivative of -s + 13*r**4 - 30*r**4 + 14 wrt r?
-68*r**3
Suppose -5*v - 2*s - 24 = -483, -4*v = -2*s - 378. Differentiate -v - 4*z**3 - 9*z**3 + 103 with respect to z.
-39*z**2
Let z = 4 - 3. Let t be z*(1 + (-3 - -5)). What is the derivative of 5*o**3 + 3*o**4 - 4 - 5*o**t wrt o?
12*o**3
Let y be ((-2)/(40/255))/(2/(-8)). What is the second derivative of 8*g**3 + 51 - y - 17*g wrt g?
48*g
Let d(k) = k**2 + 9*k - 7. Let w be d(-8). Let y be w/(-2)*(-2)/(-3). What is the third derivative of y*u**6 - 4*u**2 - 4*u**5 + 4*u**5 + u**2 wrt u?
600*u**3
Let k(f) be the first derivative of -3*f**2 + 0*f**3 + 0*f - 9/4*f**4 - 2. Find the second derivative of k(p) wrt p.
-54*p
Find the first derivative of 1081 - 2*w**4 + 189*w**2 - 148*w**2 + w**4 - 3*w**4 wrt w.
-16*w**3 + 82*w
Let x(w) be the second derivative of -18*w**6/5 + 27*w**2/2 - 90*w. What is the first derivative of x(v) wrt v?
-432*v**3
Let m(f) = -f**2 + 3*f - 1. Let g(r) = 177*r**2 + 4*r - 1. Let z(x) = -g(x) - 5*m(x). What is the second derivative of z(y) wrt y?
-344
Let g be 74/14 - 27/((-1134)/(-12)). Let k(q) be the second derivative of -13/30*q**6 + 0*q**3 - 9/2*q**2 + 0 + 0*q**g + 0*q**4 + q. Differentiate k(p) wrt p.
-52*p**3
Let a(f) be the third derivative of f**8/168 + 7*f**6/15 - 2*f**5/15 - 5*f**3/6 + 17*f**2 + 3. Find the third derivative of a(v) wrt v.
120*v**2 + 336
Let p(s) = s**3 + s**2 + s + 2. Let m be p(0). Let a(j) be the first derivative of -1 + 2*j**2 - j**m - j**2 + j**5 + 5*j. What is the derivative of a(i) wrt i?
20*i**3
Let k = 14 - 6. Suppose -5*g + k = -g. Find the second derivative of 2*n + 3*n - n**2 + 2*n**g wrt n.
2
Suppose 52 = 4*t - 0*t + 2*x, 0 = -2*t + 2*x + 14. What is the first derivative of t + 11*f - 6 - 15 wrt f?
11
Let u(h) be the second derivative of 41*h**6/30 - 43*h**2/2 + 68*h. What is the derivative of u(l) wrt l?
164*l**3
Let t(q) = 7*q + 3. Let g(i) = 4*i + 1. Let f(m) = 5*g(m) - 3*t(m). Let y be f(-8). Find the second derivative of -3*n**y + 5*n**4 + 0*n - 4*n wrt n.
24*n**2
Let f(r) be the second derivative of 2*r**7/21 - r**5/5 + 6*r**4 - 87*r. Find the third derivative of f(m) wrt m.
240*m**2 - 24
Let p(j) be the third derivative of 27*j**2 + 0*j**6 - 11/12*j**4 + 0*j + 0*j**3 + 0 + 0*j**5 + 19/210*j**7. Find the second derivative of p(y) wrt y.
228*y**2
Let p(y) be the first derivative of 2*y**3 + 0*y**2 + 0*y - 6/5*y**5 + 0*y**4 - 38. Find the third derivative of p(s) wrt s.
-144*s
Find the first derivative of 61*h**4 + 88*h**4 + 10*h - 10*h + 192 wrt h.
596*h**3
Find the third derivative of 9*w**6 + 5 + 12*w**2 - 17*w**2 - 29*w**6 - 22*w**6 wrt w.
-5040*w**3
What is the third derivative of -68*p**3 + 10401*p**2 - 79*p**3 - 199*p**3 - 10331*p**2 wrt p?
-2076
Let r(y) be the first derivative of 265*y**3/3 + 33*y + 233. Find the first derivative of r(c) wrt c.
530*c
Let z(m) be the third derivative of 47*m**4/4 + 31*m**3 + 364*m**
|
{
"pile_set_name": "DM Mathematics"
}
|
: 1, h: 2}. What is prob of picking 3 y and 1 l?
2/165
Three letters picked without replacement from ffffffffff. Give prob of picking 3 f.
1
What is prob of picking 1 n, 1 m, and 2 r when four letters picked without replacement from {l: 4, q: 1, n: 2, r: 2, e: 2, m: 4}?
8/1365
Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {y: 1, w: 3, j: 5}.
1/12
Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {y: 2, p: 6, d: 4, f: 3, m: 3}.
2/51
Calculate prob of picking 1 a and 1 n when two letters picked without replacement from aana.
1/2
What is prob of picking 3 i when three letters picked without replacement from {j: 2, w: 1, i: 4, v: 3, g: 2}?
1/55
What is prob of picking 1 e, 1 u, 1 h, and 1 w when four letters picked without replacement from exqquhw?
1/35
Two letters picked without replacement from inwjo. Give prob of picking 1 n and 1 o.
1/10
Two letters picked without replacement from {o: 2, j: 3, c: 7, t: 2, i: 4}. Give prob of picking 1 o and 1 t.
4/153
Two letters picked without replacement from {z: 8, p: 5, n: 2}. What is prob of picking 2 n?
1/105
Calculate prob of picking 4 q when four letters picked without replacement from {c: 2, q: 4, d: 3}.
1/126
Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {c: 1, w: 3, s: 2, n: 1}.
1/21
What is prob of picking 1 h, 2 y, and 1 u when four letters picked without replacement from {v: 1, y: 12, h: 1, u: 3, s: 2}?
33/646
Calculate prob of picking 2 o and 2 g when four letters picked without replacement from oggggoooooggog.
63/143
Four letters picked without replacement from jjejej. What is prob of picking 3 j and 1 e?
8/15
Two letters picked without replacement from yvyliyyabbyla. Give prob of picking 1 b and 1 v.
1/39
What is prob of picking 1 n and 1 v when two letters picked without replacement from nvp?
1/3
Two letters picked without replacement from vggvmmvfvfmfmggvga. Give prob of picking 1 g and 1 v.
25/153
Three letters picked without replacement from amieezl. What is prob of picking 1 z, 1 i, and 1 l?
1/35
Four letters picked without replacement from {w: 6, j: 6}. Give prob of picking 2 w and 2 j.
5/11
Calculate prob of picking 1 z, 1 b, and 1 h when three letters picked without replacement from {i: 3, z: 2, b: 1, h: 2, q: 4}.
1/55
Three letters picked without replacement from {v: 2, g: 4, k: 2, t: 2, y: 4, z: 1}. What is prob of picking 1 g and 2 k?
4/455
Four letters picked without replacement from nkykkukkdkykkkkkeukn. Give prob of picking 1 d, 1 e, 1 n, and 1 u.
4/4845
Three letters picked without replacement from {l: 1, c: 5, v: 3}. Give prob of picking 3 v.
1/84
Calculate prob of picking 1 f and 3 w when four letters picked without replacement from vfvvwwwv.
1/70
What is prob of picking 1 b, 1 y, and 1 o when three letters picked without replacement from {q: 3, o: 1, d: 6, l: 3, y: 3, b: 1}?
3/680
Two letters picked without replacement from xtotoojjtoetoejt. What is prob of picking 1 t and 1 j?
1/8
Two letters picked without replacement from {v: 3, q: 5, r: 4, f: 1, b: 1}. Give prob of picking 2 v.
3/91
Two letters picked without replacement from lili. Give prob of picking 2 i.
1/6
Calculate prob of picking 2 r and 1 b when three letters picked without replacement from rbrrrrrrrrrbrbrrrbr.
140/323
Three letters picked without replacement from tbburr. What is prob of picking 2 b and 1 r?
1/10
Two letters picked without replacement from arfzsrx. What is prob of picking 2 f?
0
What is prob of picking 3 b and 1 h when four letters picked without replacement from bhbbbbbbbhbbbbbbbb?
56/153
Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {c: 4, m: 1, t: 5}.
1/9
What is prob of picking 1 j and 1 s when two letters picked without replacement from fwwsxjxj?
1/14
Three letters picked without replacement from {w: 7, u: 3, i: 4}. Give prob of picking 3 u.
1/364
Three letters picked without replacement from {r: 1, h: 1, o: 1, m: 1, a: 5, x: 3}. What is prob of picking 1 a and 2 m?
0
Two letters picked without replacement from {w: 1, v: 3, c: 6, z: 3}. What is prob of picking 1 c and 1 v?
3/13
Two letters picked without replacement from {w: 2, s: 1, a: 6, f: 3, r: 3}. What is prob of picking 1 w and 1 a?
4/35
Calculate prob of picking 1 h, 1 g, and 1 u when three letters picked without replacement from {h: 1, q: 2, g: 1, w: 5, r: 2, u: 5}.
1/112
Four letters picked without replacement from yecemmaemyammmmmm. Give prob of picking 1 a, 1 c, 1 y, and 1 m.
9/595
Three letters picked without replacement from {h: 1, f: 3, q: 1, u: 4, a: 2}. What is prob of picking 1 a, 1 q, and 1 h?
2/165
Four letters picked without replacement from tttt. Give prob of picking 4 t.
1
Calculate prob of picking 3 t when three letters picked without replacement from ttrttr.
1/5
Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {k: 4, w: 3, o: 4, m: 6}.
2/17
Four letters picked without replacement from txxxttlxx. Give prob of picking 1 l, 1 t, and 2 x.
5/21
Calculate prob of picking 1 l, 1 m, and 2 h when four letters picked without replacement from mfhmmnhflnfx.
1/165
Three letters picked without replacement from sbrkfbbbssbbsbbbs. Give prob of picking 1 r and 2 b.
9/170
What is prob of picking 4 d when four letters picked without replacement from tdtdtddtdttddtdd?
9/130
What is prob of picking 1 b and 1 p when two letters picked without replacement from vvvptbtvvtvb?
1/33
Three letters picked without replacement from cccecechkphcwehee. What is prob of picking 1 k, 1 h, and 1 p?
3/680
What is prob of picking 2 r and 1 j when three letters picked without replacement from jhjxrjjjnjrnjrjr?
3/35
Calculate prob of picking 1 n and 1 l when two letters picked without replacement from ssllllqbllnbllq.
8/105
Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {q: 1, e: 8, r: 6, j: 1}.
1/120
Calculate prob of picking 2 i when two letters picked without replacement from {q: 6, p: 4, i: 5}.
2/21
Calculate prob of picking 1 k and 1 n when two letters picked without replacement from zuwsuuusnksuuwz.
1/105
What is prob of picking 4 y when four letters picked without replacement from {i: 4, y: 6}?
1/14
Four letters picked without replacement from {x: 2, m: 4, l: 6, n: 2, t: 1}. What is prob of picking 1 l, 1 t, 1 m, and 1 n?
16/455
Three letters picked without replacement from {e: 4, a: 9, t: 6}. Give prob of picking 1 a and 2 e.
18/323
What is prob of
|
{
"pile_set_name": "DM Mathematics"
}
|
c**2 + 1. Determine y(-5).
-19
Let n(h) be the first derivative of 2*h**2 - 9*h - 336. Determine n(4).
7
Let l(g) be the third derivative of g**5/60 - g**4/8 + 5*g**3/6 - 53*g**2. Determine l(5).
15
Suppose -5*a + 4*c - 49 = 0, -21 = 4*a - 3*c + 18. Let v(d) = -d**3 - 10*d**2 - 5*d + 29. Determine v(a).
-7
Let k(l) = l. Suppose 4*x - 16 = 6*x - 4*h, -3*x - 19 = -h. What is k(x)?
-6
Let l(f) be the third derivative of -2*f**2 + 2/3*f**3 - 1/24*f**4 + 0 + 0*f. Let n be -3 + -1 + 0 - -7. Give l(n).
1
Let d(k) = 52424*k - 52421*k - k**3 - 3*k**2 - 2 + 2*k**3. Suppose 0*a + 2*a - 18 = -4*v, -27 = -5*a - 4*v. Calculate d(a).
7
Let h(t) = -t**2 - 5. Let f = -1 + 1. Suppose -1 = -5*k + 4*r + 3, 4 = -5*k - 4*r. Let i be f/(3/(k - 3)). Give h(i).
-5
Let y(h) = -2*h - 13. Let g be -8 + -3 + 1 + (-16)/(-4). Give y(g).
-1
Let p(q) be the first derivative of q**4/4 + q**2 - q - 227. Let h be (-12)/(-10)*80/2. Let f be h/27 + 2/9. What is p(f)?
11
Let d = -7 - -8. Let s(k) = -7 + d - 4*k + 3*k + 2. Determine s(-7).
3
Let n(v) = -v**3 - 5*v**2 + 2. Let w(z) = z**2 - z + 19. Let g be w(7). Let b = 57 - g. Determine n(b).
-14
Let b(j) = -j**2 + 5*j - 6. Let r(y) = -2*y - 5. Suppose 0 = 2*o - 0*o. Let s be r(o). Let x = s + 9. Give b(x).
-2
Let b(o) = 2*o**3 + 3*o**2 + 3*o + 3. Let l(k) = k - 27. Let u be l(25). Let d = -13 - -9. Let n = d - u. Determine b(n).
-7
Let s(g) = g**3 - 3*g + 4. Let q(f) = -1. Let k(l) = 4*q(l) + s(l). Determine k(2).
2
Let a(h) = h**3 - 13*h**2 - 15*h + 17. Let u(n) = n**3 - 7*n**2 - 36*n - 4. Let o be u(-3). What is a(o)?
3
Let a(c) = -c**3 + 3*c**2 + 9*c - 7. Let s be 45/(-5) + 6 + 9. Calculate a(s).
-61
Let s(g) = g**3 + 11*g**2 - 3. Let f be s(-11). Let m be 4/f*27/(-12). Suppose 0 = m*d + 10 + 8. Let h(c) = c**2 + 9*c + 8. What is h(d)?
-10
Let y(m) be the first derivative of 7*m**3/3 + 2*m**2 + 5*m - 314. Determine y(-2).
25
Let r(t) = -2*t**3 - 15*t**2 + 33*t + 48. Let f be r(-9). Suppose 0 = -2*c + 6. Let u(l) = c - 3 - l. Calculate u(f).
6
Let r(w) = 0 - 6 - 7 + 2 - 3*w. Give r(-6).
7
Let b(r) = 9*r**3 + 6*r**2 - 4*r + 17. Let s(u) = u**3 + u**2 + 2. Let n(y) = -b(y) + 7*s(y). Suppose -3*z + 8 = z. What is n(z)?
-7
Let n = 9 + -2. Let x be (14/49)/((-6)/(-105)). Let r(d) = -x + d - n + 0*d + 5. Calculate r(6).
-1
Let r(c) = -c**2 - 12*c - 26. Let b be 4*8/12*-3. Let k be r(b). Let a(j) = j**2 - 4*j - 4. Determine a(k).
8
Let z(n) = -2*n - 68. Let h(v) = 6*v + 196. Let m(p) = 3*h(p) + 8*z(p). Calculate m(-20).
4
Let f(d) = d. Let w(b) = -b**2 - 4*b + 5. Let c(k) = -f(k) - w(k). Let s be (7/((-448)/48))/(1/4) - 1. Calculate c(s).
-1
Let l(b) be the first derivative of -b**5/20 - b**4/4 - 5*b**3/6 - 3*b**2/2 + 10*b - 15. Let i(g) be the first derivative of l(g). Calculate i(-3).
12
Suppose 4*v - 20 = 0, 3*v = m + 7*v - 23. Let k(p) = 7*p + 4. Let b(w) = -7*w - 5. Let c(n) = 5*b(n) + 6*k(n). Determine c(m).
20
Let o(v) be the second derivative of -v**5/20 + v**4/12 - v**3/6 - 3*v**2 - 31*v. Calculate o(0).
-6
Let g(n) = 27*n - 44*n + 12 + 15*n. Calculate g(4).
4
Suppose 5 - 2 = q. Let j(a) = 2*a - 5. What is j(q)?
1
Let u(j) be the third derivative of 1/10*j**5 + 0 - 7*j**2 + 1/12*j**4 - j**3 + 0*j - 1/120*j**6. Let o be (-8)/2*(-6)/4. Give u(o).
6
Let u(a) = a**3 + 2*a**2 - 3*a - 4. Suppose -2*z + 2*d - 10 = -2*d, 4*z - 4*d + 20 = 0. Suppose 0 = k + 2*r, 5*k - 1 - 7 = -2*r. Let f = k + z. What is u(f)?
-4
Let w be (-66)/8 - (-2)/8. Let g(u) = u**3 + 7*u**2 - 8*u - 2. Let y be g(w). Let v(a) = 3*a - 9. Let r(x) = x - 5. Let p(t) = -5*r(t) + 3*v(t). Calculate p(y).
-10
Suppose -4*x - 1 + 6 = -f, 10 = 5*x - 2*f. Let u(t) = t**3 + t**2 + 4. What is u(x)?
4
Let u(w) = 9*w. Let n(v) = -8*v. Let s(b) = -6*n(b) - 5*u(b). Let j(g) = g - 1. Let k(z) = -4*j(z) + s(z). Determine k(4).
0
Suppose 0 = 5*a + 4*h + 14, 2*a - 2*h - 8 = 5*a. Let b(n) = 2*n + 1. Let j(o) = 2 - 238*o + 1 + 241*o - 2. Let r(
|
{
"pile_set_name": "DM Mathematics"
}
|
) = -d**2. What is s(g(c))?
-6084*c**2
Let c(k) = k + 3037. Let y(z) = 7*z**2. What is c(y(l))?
7*l**2 + 3037
Let j(u) = 2*u. Let h(o) = -47 + 421*o**2 - 838*o**2 + 50 - 311*o + 420*o**2. Give j(h(a)).
6*a**2 - 622*a + 6
Let s be (-122)/(-14) + (-8)/(-28). Let v(p) = -1 - s + 5*p - 1 - 4*p. Let o(t) = 3*t**2. Determine o(v(a)).
3*a**2 - 66*a + 363
Let q(c) = 7*c. Let f(w) = -94299407*w. Calculate f(q(u)).
-660095849*u
Let s be 6/(-10) - (0 + 88/(-5)). Let y(z) = -s - 54*z + 17 - 56*z. Let o(w) = -2*w. Determine o(y(u)).
220*u
Let i(f) = 4*f. Let s = 140 + -130. Let w(l) = -20*l + 55*l - s*l - 6*l. Give i(w(x)).
76*x
Let i(a) be the first derivative of -a**2 - 3218. Let u(d) = 4787*d. What is i(u(n))?
-9574*n
Let u(w) = 15352*w**2. Let f(p) = 162*p**2. Calculate u(f(c)).
402897888*c**4
Let f(j) = -j + 2. Let m(q) = 2*q - 7. Let r(s) = 7*f(s) + 2*m(s). Let b(l) = -12*l + 7*l**2 + 7*l - 3*l - 8*l + 20*l - 6*l. Calculate b(r(a)).
63*a**2 + 6*a
Let w(r) = 4*r**2 - 250991*r + 250991*r. Let b(o) = 42*o + 2. Give b(w(p)).
168*p**2 + 2
Let d(i) = 852*i**2 - 1560*i**2 - 491*i**2 - 2404*i**2. Let q(l) = l. Determine q(d(z)).
-3603*z**2
Let x(h) = -2*h. Let w(m) = 928901239*m. What is x(w(n))?
-1857802478*n
Let l(b) = 9*b**2. Suppose 4*u - 928 = -u + 3*f, 2*u - f = 371. Let o(a) = -353*a + 178*a + u*a. Determine l(o(w)).
900*w**2
Let s(h) = -9*h. Let r(c) be the first derivative of 3*c**2/2 - 1690. Give r(s(o)).
-27*o
Let y(n) = -93*n**2 + 5*n + 5. Let i(x) = -143*x**2 + 8*x + 8. Let u(s) = -5*i(s) + 8*y(s). Let v(j) = 29*j. Give v(u(k)).
-841*k**2
Let y(l) = 3*l**2 + 40. Let v(b) = 27*b. Let q(g) = 752*g. Let r(a) = q(a) - 28*v(a). What is y(r(k))?
48*k**2 + 40
Let h(s) = 169*s**2. Let t(w) be the second derivative of -w**5/30 - 135*w**2/2 + 7*w - 2. Let u(a) be the first derivative of t(a). Determine u(h(r)).
-57122*r**4
Let t be 0 - (5 + -80 + -3). Let v(k) = -13*k - 7*k**2 - t*k + 7*k**2 + 2*k**2. Let z(n) = n. Determine v(z(y)).
2*y**2 - 91*y
Let l(v) = -68*v**2 - 7. Let t(h) = 0*h**2 - h**2 - 733 - 642 + 1375. What is t(l(f))?
-4624*f**4 - 952*f**2 - 49
Let r(y) = 2*y**2 - 75*y. Let a(s) = -36411*s. Determine r(a(q)).
2651521842*q**2 + 2730825*q
Let n(w) = 11*w - 10 + 10 + 1. Let u(g) be the first derivative of -22 + 0*g + 0*g**2 + 1/3*g**3. What is n(u(y))?
11*y**2 + 1
Let z(h) be the first derivative of 3*h**2 - h**2 - 1 - h**2. Let q(y) = -466*y + 1134*y - 635*y. Determine z(q(d)).
66*d
Let p(d) be the second derivative of -5*d**4/12 - d. Let f(a) = -1298*a - 440. Let x(t) = -94*t - 32. Let r(o) = 4*f(o) - 55*x(o). Give r(p(g)).
110*g**2
Let q(c) be the first derivative of -4/3*c**3 + 0*c + 0*c**2 - 54. Let t(o) = -29*o. Determine t(q(g)).
116*g**2
Let b(i) = i**2. Let s(f) = 88. Let r(m) = -15281*m - 576312. Let h(x) = r(x) + 6549*s(x). What is b(h(v))?
233508961*v**2
Let w(i) = -2*i**2 + 6*i. Let z(g) = 1084563*g. Calculate z(w(b)).
-2169126*b**2 + 6507378*b
Let r(n) = -n**2 - 5*n**2 + 5*n**2. Suppose -26*t = -4479 - 175. Let p(d) = -t*d + 368*d - 183*d. Calculate r(p(b)).
-36*b**2
Let j(b) = -b**2. Let s(d) = -5*d - 33. Suppose -6*k + 21 - 75 = 0. Let v be s(k). Let x(i) = v*i - 7*i + 8*i. Give j(x(l)).
-169*l**2
Let a(h) = 192*h + 2. Let z(k) be the first derivative of -k**3/3 - 2596. What is z(a(t))?
-36864*t**2 - 768*t - 4
Let g(d) = -12*d - 559268. Let y(n) = -29*n. Calculate g(y(w)).
348*w - 559268
Let i(z) = 61*z**2. Let w(f) = 22444*f. Calculate i(w(j)).
30727721296*j**2
Let b(x) = -27*x. Suppose -34 = 3*l - 37. Let o be (1*(2 - -2))/(2/l). Let a(f) = 4*f**2 - 2*f**2 - 3*f**o. Calculate a(b(p)).
-729*p**2
Let j(g) = g. Let c(y) = -158136*y**2 - 6*y - 3. What is j(c(u))?
-158136*u**2 - 6*u - 3
Let i(o) = 160*o**2 - 15*o + 30. Let z(l) = 43*l**2 - 4*l + 8. Let r(w) = 4*i(w) - 15*z(
|
{
"pile_set_name": "DM Mathematics"
}
|
ase 8, what is 3070 + -376?
2472
In base 11, what is 7351842 - 0?
7351842
In base 12, what is -146 - 51650?
-51796
In base 10, what is -1 - 6165334?
-6165335
In base 4, what is 121 - -302310033?
302310220
In base 13, what is -480 + -151c07?
-152387
In base 13, what is 9047 - -4bc?
9536
In base 9, what is 2 + 75175754?
75175756
In base 6, what is -443 - -1241433?
1240550
In base 7, what is 163324 + -223?
163101
In base 14, what is -7 + 38d0805?
38d07dc
In base 9, what is -345201 + 177?
-345013
In base 9, what is -22 - -454812?
454780
In base 8, what is 3521 + -320?
3201
In base 8, what is -1041612 - 1105?
-1042717
In base 9, what is 8 + -5023055?
-5023046
In base 12, what is 199 + 1227a6?
122983
In base 11, what is -439594 - -3?
-439591
In base 5, what is 1044344 + -1112003?
-12104
In base 11, what is -14513 + 203?
-14310
In base 6, what is 5010025 + 2?
5010031
In base 9, what is -64 + 1638528?
1638454
In base 2, what is 100111100011011000 - -101010001?
100111101000101001
In base 7, what is 13155420460 + -4?
13155420453
In base 16, what is 230531e - -a?
2305328
In base 6, what is 2113 + -110235?
-104122
In base 10, what is -1090324 + 33?
-1090291
In base 14, what is -25082b1 - 9?
-25082ba
In base 15, what is 2 - 81dec72?
-81dec70
In base 8, what is -421 + -60764?
-61405
In base 16, what is -bd25e + -5?
-bd263
In base 7, what is 3350543622 - 0?
3350543622
In base 10, what is -955821 - 625?
-956446
In base 9, what is 861205 + 574?
861780
In base 13, what is 9968b + -215a?
97531
In base 9, what is -18828 + 21?
-18807
In base 6, what is -4 + 111222340?
111222332
In base 5, what is -102433 + -1104?
-104042
In base 9, what is 0 + -682483753?
-682483753
In base 15, what is 181e + 5ab?
1dca
In base 14, what is 10674c9 - -21?
106750a
In base 16, what is -42d63 + 57b?
-427e8
In base 10, what is -5 - 14420027?
-14420032
In base 13, what is 33aa - 30842?
-2a465
In base 2, what is 1011111 + 101000101100001?
101000111000000
In base 15, what is -21cc4920 + -3?
-21cc4923
In base 13, what is 2 - -1b09ca7?
1b09ca9
In base 6, what is 13 - -50043525?
50043542
In base 6, what is 201231 - -105302?
310533
In base 3, what is 101010221011020210 + -11?
101010221011020122
In base 14, what is 79235 - 1d?
79216
In base 14, what is 0 + -16d36d1?
-16d36d1
In base 6, what is 15510454 + -33?
15510421
In base 2, what is -1010111010 - 11010000110011110?
-11010010001011000
In base 11, what is -6300603 + -2?
-6300605
In base 16, what is -1cdd + 1bddf?
1a102
In base 10, what is -133 + 2119436?
2119303
In base 12, what is 0 - -80a733?
80a733
In base 13, what is -2 - -cb574a?
cb5748
In base 6, what is 35 - -1110545?
1111024
In base 15, what is 2813 - -b8?
28cb
In base 13, what is -37c61c8 - 1?
-37c61c9
In base 9, what is 84465 + 20151?
114626
In base 3, what is -110120102101 + -112?
-110120102220
In base 10, what is 107 - -30757?
30864
In base 14, what is -3692c46 - 2?
-3692c48
In base 13, what is 13b + -2953c?
-29401
In base 8, what is 3644 + -2220753?
-2215107
In base 12, what is -1486391 - 2?
-1486393
In base 16, what is 595 + -206f?
-1ada
In base 11, what is 5710 - -1716?
7326
In base 14, what is 114358 + 0?
114358
In base 8, what is 56261 + 3411?
61672
In base 12, what is -b67 + -52285?
-53230
In base 13, what is -421 + 4760?
433c
In base 16, what is -2fde + 2fb?
-2ce3
In base 11, what is -12665175 - 2?
-12665177
In base 13, what is -17 - 1b7b28?
-1b7b42
In base 8, what is -2036 - -1363?
-453
In base 10, what is -2 - -1649803?
1649801
In base 9, what is -22333141 - -3?
-22333137
In base 11, what is -5043 - -4511?
-632
In base 8, what is -5057 + 60177?
53120
In base 16, what is 96d9b + -3?
96d98
In base 2, what is 101101110010000101000001010 - -1?
101101110010000101000001011
In base 2, what is 10 + -1000111101111001101101?
-1000111101111001101011
In base 2, what is -11111001000111 + -1111000110111?
-101110001111110
In base 13, what is -5ab + 6bb0?
6602
In base 10, what is -8580802 + 8?
-8580794
In base 8, what is -710032 + -543?
-710575
In base 15, what is -588d3 + -73?
-58956
In base 5, what is -30142011 + 2020?
-30134441
In base 9, what is -3 + 137053?
137050
In base 5, what is -130304 - 1111032?
-1241341
In base 14, what is 2032 + -c54?
11bc
In base 2, what is 10 + 1000110010110101110?
1000110010110110000
In base 16, what is 1bff + -4855?
-2c56
In base 7, what is 55 + -4543635?
-4543550
In base 4, what is 211 - -300121020?
300121231
In base 12, what is -111 - 229a78?
-229b89
In base 6, what is 542 - -2035121?
2040103
In base 15, what is 3ac + -14cb?
-111e
In base 16, what is 8112eec - -2?
8112eee
In base 3, what is -11220020220020 + 0?
-11220020220020
In base 14, what is 1 - -3b4b80b?
3b4b80c
In base 7, what is -23203560 +
|
{
"pile_set_name": "DM Mathematics"
}
|
at is y(h)?
5
Let c be -2*(1/(-2))/(-1). Let t(o) = o + 1. Let g be t(1). Let b(p) = 7*p**3 + 5 - 1 - 4 - p**g - 2*p - 1. Give b(c).
-7
Let y(k) = -2*k**3 - 4*k**2 - 3*k - 2. Let i(w) = w - 1. Let g be i(-3). Let l = g + 2. What is y(l)?
4
Let b(l) = -3*l**3 - 14*l**2 + 5*l - 14. Let t(g) = -4*g**3 - 21*g**2 + 7*g - 21. Let i(f) = 7*b(f) - 5*t(f). Give i(7).
7
Let l(z) = -z - 1. Let q(s) = s**3 - 6*s**2 + 4*s + 4. Let o(d) = -3*l(d) - q(d). Calculate o(6).
-7
Let n(d) = d + 9. Let t be n(-5). Let f(o) = o**3 - 5*o**2 + 3*o - 1. Determine f(t).
-5
Let c(h) = -h**2 - 4*h - 3. Let a = -9 + 4. Suppose q + 2 = -0*q. Let l be q/5 + 8/a. What is c(l)?
1
Let q(b) = -5*b - 2 + 2 + 2*b. What is q(2)?
-6
Suppose 0 = 2*o + 2*o. Let i(f) = -f**2 + 3 + o*f**3 + 1 - f**3. Determine i(0).
4
Let i(g) be the third derivative of g**7/840 - g**6/72 + g**5/120 - g**4/8 + g**3/6 + 2*g**2. Let v(t) be the first derivative of i(t). Determine v(5).
2
Let m(t) = t**2 - t + 8. Let h be m(0). Let o be (-4)/h*(0 - -2). Let v(q) be the second derivative of -7*q**3/6 + q. What is v(o)?
7
Let d(f) be the third derivative of f**5/24 - f**4/12 - f**3/6 - f**2. Let p(t) be the first derivative of d(t). Let x be ((-2)/2)/(3/(-6)). Calculate p(x).
8
Let v(l) = 2*l. Let c be 2/((-1)/5*-2). Suppose -c*u - 13 = 2. What is v(u)?
-6
Let z(p) = -2*p**3 - 3*p**2 + 10*p - 3. Let v(j) = -j**3 - j**2 + 5*j - 1. Let q(g) = 9*v(g) - 4*z(g). Determine q(4).
7
Let p(d) be the third derivative of -d**5/60 - d**4/6 + d**3/3 + 4*d**2. Calculate p(3).
-19
Let p(y) = -2 - 8*y**2 + 1 + 2 + 0 - 2*y. Determine p(1).
-9
Let h(b) = b**3 + 5*b**2 + 3. Suppose 0 = -4*v + 9 + 23. Let u = v + -4. Suppose -o - 2*a = a - 4, -17 = o - u*a. Calculate h(o).
3
Let g = -9 - -7. Let i be -3 - 6*3/g. Let u(s) = -s**3 + 5*s**2 + 7*s + 2. Determine u(i).
8
Let o(y) be the first derivative of -2 - 1/8*y**4 + 0*y**2 - 1/120*y**5 + 2/3*y**3 + 0*y. Let h(p) be the third derivative of o(p). Give h(0).
-3
Let w be (-6)/48 + 31/(-8). Let n(y) = y**3 + 5*y**2 + 6*y + 6. Give n(w).
-2
Let f(u) = -u**3 + u**2 + 8. Let r(t) = t - 12. Let l be r(12). What is f(l)?
8
Let l = 2/15 - -1/5. Let w(v) be the third derivative of 0*v + v**2 - l*v**3 + 0 - 1/24*v**4. Determine w(-3).
1
Let f(v) = 2*v**2 - v - 2. Let u(s) = -10*s - 88. Let h be u(-9). Determine f(h).
4
Let l(m) = -m**2 - m + 3. Suppose 0 = 2*i + 3 - 19. Let q be (i/4 + -2)*1. Determine l(q).
3
Let i(p) = -p**2 + 6*p - 5. Suppose q - 6 = -n, 4*q - 9 = 2*q + n. Determine i(q).
0
Let y(k) = -k**2 + 8*k - 7. Let f(b) = 2*b**2 - 17*b + 15. Let m(h) = -2*f(h) - 5*y(h). Suppose -6 = l - 2*l. Give m(l).
5
Let t(g) = -g**3 + 2*g**2 + 3*g + 2. Suppose -2*v + 2 = -4. Suppose 2*j = 4, 0*h + 3 = -h + v*j. Suppose -16 = -2*p + 5*x + 10, -h*x = 12. Calculate t(p).
2
Let l(m) = -12 - 87*m + 0*m**2 - m**3 - 8*m**2 + 1 + 85*m. What is l(-8)?
5
Let u = -5 - 1. Let h(c) = -7*c - 12. Let r(k) = -15*k - 25. Let m(p) = u*r(p) + 13*h(p). Calculate m(0).
-6
Let v(i) = -i**2 + 3*i. Suppose -h + 5 + 7 = 3*s, 3*h - 8 = -2*s. Determine v(s).
-4
Suppose 0 = -v - 1. Let l = v + 5. Let c(n) = 4*n - 5. What is c(l)?
11
Let j(q) be the second derivative of q**5/20 + 5*q**4/12 - q**3 + 3*q**2 - 3*q. Let w be j(-6). Let z(t) = t**2 - 6*t - 1. What is z(w)?
-1
Let r(p) = p**3 - 7*p**2 - 7*p - 8. Let s be r(8). Suppose s = 2*g - 2*o - 12, -4*g + 20 = -3*o + 1. Let k(q) = -q**3 + q. Determine k(g).
0
Let f(o) = 2. Let a(l) = -l. Suppose -h - 4 + 1 = 0. Let n be h + (-8)/(-2) - 4. Let r(k) = n*a(k) - f(k). Calculate r(2).
4
Let q(s) = -23*s**2 - 17*s + 17. Let d(y) = 4*y**2 + 3*y - 3. Let h(i) = 34*d(i) + 6*q(i). Give h(-1).
-2
Let q(j) = -3*j - 2. Let h be q(-2). Let m(c) = c**2 - 4*c + 6. What is m(h)?
6
Let q(c) = -3*c**2 + 4*c + 13. Let d(r) = r**2 - r - 4. Let j(f) = -8*d(f) - 3*q(f). Let a be (-35)/(-5) + (-2 - -1). What is j(a)?
5
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
*x + 6246 = x. Suppose 5*j = 2*j + x. Let o = j - 196. List the prime factors of o.
151
Let q(v) = 2116*v**2 + 102*v + 209. List the prime factors of q(-2).
3, 941
Let c = -25 - -7. Let t be (-4)/c - (-113)/18*10. Let g = t + 67. List the prime factors of g.
2, 5, 13
Suppose 4*l + 24*f - 19*f = 95105, -71320 = -3*l + 5*f. List the prime factors of l.
3, 5, 317
List the prime factors of 2/(20 + 13421960/(-671100)).
3, 5, 2237
Let u = 64 + -59. Suppose -u*w = y + 37326, -2*y - 1 = -y. What are the prime factors of 2/13 - w/65?
5, 23
Suppose -68 = 2*z - 78. Suppose -3*b + 10 = 5*p - 9, -z*p = b - 23. Suppose -4*f - p*k + 743 - 73 = 0, -500 = -3*f - 5*k. List the prime factors of f.
2, 5, 17
Let g(i) = i**3 + 5*i**2 + 2*i - 3. Let r(k) = -k**3 - 3*k**2 + 15*k + 2. Let o be r(-6). Suppose -6*x - o = -x. What are the prime factors of g(x)?
5
Suppose 1314*h + 115616 = 1330*h. What are the prime factors of h?
2, 3613
What are the prime factors of (-26)/(-520)*-10*(-39044 + 0)/2?
43, 227
Let z(s) = -20*s**2 + 29*s - 40. Let w(p) = -7*p**2 + 9*p - 13. Let d(i) = -17*w(i) + 6*z(i). List the prime factors of d(12).
89
Let s(v) = -v**3 + 14*v**2 - 12*v - 27. Let i be s(12). Let m = 121 - i. Suppose 0 = 4*l - 3*u - 60, 5*l - m*u - 70 = u. What are the prime factors of l?
2, 3
Let r = -251 + 213. List the prime factors of (15/10)/((-1)/r).
3, 19
Suppose -10*n = 5*n. Suppose n*p - 6 = -3*p. Suppose 10*m - 7*m = 3*i - 465, p*m + 616 = 4*i. List the prime factors of i.
3, 17
Let l(c) = -169*c + 225. Let b be l(-13). Let r = -1588 + b. What are the prime factors of r?
2, 3, 139
Let b = 30 + -26. Suppose 5*i - b = 6*i. Let h(c) = 6*c**2 - c - 10. What are the prime factors of h(i)?
2, 3, 5
Suppose f - 2533 = 92. Suppose -14 + 34 = -4*b, -5*m + f = -3*b. List the prime factors of m.
2, 3, 29
Suppose 0 = -73*h + 344565 + 160960. What are the prime factors of h?
5, 277
Suppose 4*a + 4*p = -2096, -a = 4*p + 271 + 265. Let y = -422 - a. List the prime factors of y.
2, 7
Suppose p = -2 - 2. Let c be (-24)/(1 - p/(-8)). What are the prime factors of c/(((-16)/12)/2)?
2, 3
Let d(y) = 19*y - 66. Let q be d(4). Suppose 2*w - 2*i - 1198 = 0, -14*w + 2417 = -q*w + 3*i. List the prime factors of w.
2, 7, 43
Let c(k) = 13*k**3 + 4*k**2 - 13*k + 9. Let f(g) = -5*g + 12. Let u be f(2). List the prime factors of c(u).
103
Let s(v) = v**3 - 17*v**2 - 22*v + 4. Let n be -2 + -1 - -3 - -20. Let a be s(n). Suppose -384 = -3*z - 2*y, 4*z + 254 = -2*y + a. List the prime factors of z.
2, 3, 7
Let b = 110 - 116. Let q be 285/38*(-4)/b. Suppose a = 3*w + 129, -q*w + 484 = 4*a - w. List the prime factors of a.
3, 41
Let n = 247 - 61. Let s = 55 + n. What are the prime factors of s?
241
Suppose 68*g - 59*g = 12150. Let o = g + -478. What are the prime factors of o?
2, 109
Let r(s) = -s**3 + 10*s**2 - 18*s + 19. Let q = 120 + -109. Let l be r(q). What are the prime factors of l/24*(4 + -1)*-4?
2, 3, 5
Let h be 102/15 + 2/10. Suppose 472 = -h*p + 2971. Let r = -150 + p. What are the prime factors of r?
3, 23
Suppose -13*v = -241 - 227. Let q = 40 - v. Suppose -353 = -q*o + 35. List the prime factors of o.
97
Suppose -96073 + 775554 + 344949 = 55*b. What are the prime factors of b?
2, 67, 139
Let m(j) = 477*j**2 - j - 2. Let v be m(-1). Let u = v + -365. List the prime factors of u.
3, 37
Let s = -66041 - -113664. What are the prime factors of s?
47623
Suppose 5*j - 2*r - 7090 = 0, 5*j - 7070 = -36*r + 34*r. List the prime factors of j.
2, 3, 59
Let l(z) = 16*z - 29. Let u(t) = -t + 2. Let p(c) = l(c) - 3*u(c). List the prime factors of p(5).
2, 3, 5
Let b be (-2 - -3 - -2)*1. Let l(o) = -34*o**2 - 7*o - 2. Let d be l(b). Let q = -227 - d. List the prime factors of q.
2, 3, 17
Let n(b) be the third derivative of b**5/30 + 7*b**4/12 + 23*b**3/6 + 13*b**2. Let j be n(-11). What are the prime factors of -1 + j + (3 - 2)?
3, 37
Suppose f - 5*q - 11 = -3*f, 14 = 4*f - 2*q. Suppose -m = -f*k + m + 28, 3*k + 3*m - 3 = 0. Suppose -344 = -k*w + 3*w. What are the prime factors of w?
2, 43
Let s(g) = -g**3 + g**2 + 12*g + 5004. Let k be s(0). Suppose 0 = -4*o + 13*o - k. List the prime factors of o.
2, 139
Let s(l) = 24*l**2 + 5*l**2 - 27*l - l**3 - 61*l + 16. What are the prime factors of s(24)?
2, 7
Let i(g) be the second derivative of -9*g**5/20 - 5*g**4/12 - 2*g**3/3 + 500*g. Let l be (-2 + -1)*1 - 0. List the prime factors of i(l).
2, 3, 5, 7
Let u be -2230 - (3 + (-4 - -1))/(-2). Let a = -746 - u. List the prime factors of a.
2, 7, 53
Let i = 139 + -53. Suppose i*x = 84*x + 5*m + 1926, -4*x = 4*m - 3824. What are the prime factors of x?
2, 479
Let c(b) = 541*
|
{
"pile_set_name": "DM Mathematics"
}
|
0*q**5 + 0 + 0*q**2 + 2/3*q**3. Find the second derivative of h(g) wrt g.
160*g**3
Let a(t) = t**2 - 5*t + 130. Let c(w) = 4*w**2 - 24*w + 652. Let k(h) = -24*a(h) + 5*c(h). Differentiate k(m) with respect to m.
-8*m
Let t(i) be the second derivative of 3*i**8/14 + i**6/6 + 251*i**4/12 + 12*i - 1. Find the third derivative of t(g) wrt g.
1440*g**3 + 120*g
Let p(f) be the first derivative of f**6/6 + 9*f**4/2 + 41*f**3/3 - 134. Find the third derivative of p(v) wrt v.
60*v**2 + 108
Suppose -2*x - 3 = -3*x. Find the second derivative of 13*o**4 + 3*o - 5*o**3 - o**3 + 6*o**x wrt o.
156*o**2
Let t(x) = -35*x**3 + 20. Let f(m) = -17*m**3 + 10. Suppose 25*p + 24 = 21*p. Let s(z) = p*t(z) + 13*f(z). What is the derivative of s(w) wrt w?
-33*w**2
Suppose -h = -3*u + 3, -5*u + u = -16. What is the third derivative of h*p**4 + 8*p**4 + 0*p**4 - 4*p**2 - 4*p**2 wrt p?
408*p
Let i be (-1 - -2)*-1*-2. Suppose i*d - 8 = 0, -p + 3*p + 5*d - 24 = 0. What is the second derivative of 0*g**2 - 2*g + 7*g - g + 3*g**p wrt g?
6
Let s(f) be the first derivative of f**5/5 + f**4/12 - 21*f + 15. Let g(y) be the first derivative of s(y). Find the third derivative of g(k) wrt k.
24
Suppose 0 = -5*g - 4*f + 11, -4*g = 5*f - 2 - 5. Suppose -75 = 4*r - 79. What is the second derivative of -5*b**g - 1 + b + r + 0*b wrt b?
-30*b
Let i(c) be the first derivative of 24*c**4 + 5*c**3/3 + 3*c**2/2 - 117. What is the third derivative of i(k) wrt k?
576
Let u(f) = -16*f**3 - 11*f**2 + 201*f - 5. Let p(y) = 15*y**3 + 11*y**2 - 202*y + 4. Let t(o) = -5*p(o) - 4*u(o). Find the second derivative of t(s) wrt s.
-66*s - 22
Find the third derivative of 24*g**2 - 114*g**3 - 157*g**2 + 17*g**2 - 29*g**3 + 56*g**2 wrt g.
-858
Suppose a + v = -1, -2*v = -6*a + 3*a + 17. What is the third derivative of 2*m**2 + 3*m**a - 3*m**2 - m**2 + 0*m**3 wrt m?
18
Let h = 5 + -8. Let d be -1*h/(-2 + 3). Find the second derivative of -w - 4*w**3 + 0*w + 9*w**d wrt w.
30*w
Let i(u) = -u**3 + u**2 - 1. Let g(v) = -49*v**3 + 5*v**2 + 2. Suppose -2*k = -4*k + 2. Let f(z) = k*g(z) - 5*i(z). Find the first derivative of f(x) wrt x.
-132*x**2
Let m(g) be the third derivative of 0*g**3 + 0*g**5 + 1/20*g**6 + 0*g - 7/12*g**4 + 0 - 3*g**2. What is the second derivative of m(q) wrt q?
36*q
Let d(k) be the first derivative of -5*k**4/12 - 5*k**3/6 - k**2 - 4. Let t(z) be the second derivative of d(z). Differentiate t(u) wrt u.
-10
Let b(w) be the first derivative of 268*w**6/3 - 6*w**2 - w - 68. What is the second derivative of b(d) wrt d?
10720*d**3
What is the second derivative of 284*s**2 - 207*s**2 + 921*s - 246*s wrt s?
154
Let m(a) = a**3 + 2*a**2 - 3*a. Let u be m(-3). Let k = u + 2. Find the second derivative of -k*c - 22*c**2 - 10*c + 8*c**2 wrt c.
-28
Let z(f) = -10*f**2 + 3*f + 16. Let d(c) = c - 8 - 14 - 9 + 30 - c**2. Let b(v) = 3*d(v) - z(v). Differentiate b(k) with respect to k.
14*k
Let i(u) = -65*u + 72. Let j(a) = 67*a - 73. Let n(r) = 7*i(r) + 6*j(r). Differentiate n(c) with respect to c.
-53
Let v(o) be the second derivative of -o**4/6 - 3*o**3 + 123*o**2/2 + 7*o + 1. Differentiate v(d) with respect to d.
-4*d - 18
Let c(f) be the second derivative of -79*f**3/6 - 107*f**2/2 - 5*f - 1. Find the first derivative of c(q) wrt q.
-79
Suppose 9*i = 5*i + 56. Suppose -i*t + 25 = -9*t. Find the third derivative of 4*n - 13*n**2 - 2*n + 2*n**t - 2*n wrt n.
120*n**2
Differentiate -547 - 80 + 713*p - 274 wrt p.
713
Let i(q) be the second derivative of -149*q**5/10 + 4*q**3/3 + q**2/2 - 2*q + 292. What is the second derivative of i(y) wrt y?
-1788*y
Let y(l) = l**3 - l**2 + 1. Let r(z) = -501*z**4 - 3*z**3 + 3*z**2 - 528*z - 3. Let d(t) = r(t) + 3*y(t). Find the second derivative of d(k) wrt k.
-6012*k**2
What is the third derivative of -33*r**4 + 21*r**6 - 553*r**2 + 558*r**2 + 1 + 39*r**4 wrt r?
2520*r**3 + 144*r
Let d(w) be the third derivative of -19*w**6/24 + 7*w**5/15 + 2*w**2 - 17*w. What is the third derivative of d(g) wrt g?
-570
Suppose -z = -0*z + 4, 3*z - 28 = -4*m. Find the first derivative of m + 3*h - 11*h + h wrt h.
-7
Let l(x) = 13*x**2 + 8*x - 113. Let g(f) = -13*f**2 - 6*f + 112. Let z(m) = -4*g(m) - 3*l(m). Find the first derivative of z(n) wrt n.
26*n
What is the first derivative of 129*g**3 + 325 + 2*g + 23*g**3 - 43*g**3 wrt g?
327*g**2 + 2
Suppose -2*t + 18 = r, 0 = -4*r + r. What is the derivative of 6*y - 15*y + 3*y - t wrt y
|
{
"pile_set_name": "DM Mathematics"
}
|
p to the nearest 100.
300
Let n = 977 - 978.381. Let p = 0.271 + n. Let z = -1.10931 - p. What is z rounded to 4 decimal places?
0.0007
Let h = -147131728286.900095 - -147132076582. Let s = h + -348297. Let l = -1.9 - s. Round l to 5 decimal places.
0.0001
Suppose -41*f - 4600 = 3477. Round f to 0 decimal places.
-197
Let v = 39 - 74. Let j be (21/v - (-7006)/10)*37. What is j rounded to the nearest one thousand?
26000
Let r = 0.3 + -0.5. Let d = -15.8 + r. Let b = d - -15.9999976. What is b rounded to 6 dps?
-0.000002
Let h = -2.4797 - -3.47978. Let m = h - 1. What is m rounded to four dps?
0.0001
Let r = 28 - 4. Suppose -4*w + 4*f - r = 0, -5*w - 20 = f - 4*f. Let a be (-5299996)/1 + -3 + w. Round a to the nearest 1000000.
-5000000
Let u = 3.78 - 3.7992. What is u rounded to two decimal places?
-0.02
Let s(h) = 5599*h**2 - 6*h - 5. Suppose 2*g = 3*g. Suppose -z - 4*z - 25 = g. Let p be s(z). Round p to the nearest 100000.
100000
Suppose 2*l - 12821990 = 2*s, -l = 2*l + 4*s - 19232978. Let o = -4110994 + l. What is o rounded to the nearest 1000000?
2000000
Let a = 9.993 + -10. Let g = -28.007 - a. Let u = 27.99965 + g. Round u to 4 dps.
-0.0004
Suppose -2*y - 1543139 - 4047663 = 0. Let u = y + -21904599. Round u to the nearest 1000000.
-25000000
Let w be (15/18)/((-1)/(-6)). Suppose -5*a = -2*p - 24200000, a + 48400000 = -w*p + p. Round p to the nearest 1000000.
-12000000
Let h = -19.05 - -0.05. Let l = h - -29. Let o = -9.99 + l. What is o rounded to 3 dps?
0.01
Suppose -30*y = -32*y + 10. Suppose -2*p - 3*p + 15 = 0, 0 = t + y*p - 5115. What is t rounded to the nearest one thousand?
5000
Let i(n) = -5 + n**2 - 9*n + 2 + 15. Let t be i(9). Suppose 13*c = t*c + 860000. What is c rounded to the nearest one hundred thousand?
900000
Let o = 2756308420708.99691 + -2756292301136. Let r = 16119489 - o. Let c = r - -84. Round c to four dps.
0.0031
Let q = 0.23499904 + -0.235. Round q to 7 dps.
-0.000001
Let f = -0.0802 + 0.1715. Round f to two decimal places.
0.09
Let q = 456114543385 + -456113842584.079898. Let i = q + -700915.92. Let k = i + 115. What is k rounded to 5 decimal places?
0.0001
Let y = -4.98 + -9. What is y rounded to the nearest integer?
-14
Let n(z) = 27*z + 6*z + 8*z + 10. Let y be n(5). What is y rounded to the nearest ten?
220
Let k = -0.02 - 0.03. Let n = 0.11 - k. Let c = n - 0.1605. What is c rounded to 4 decimal places?
-0.0005
Suppose 127398 = 19*l - 173182. Round l to the nearest 1000.
16000
Let c = 31 + -20. Let r = -23358049 - -23358037.999991. Let s = c + r. Round s to five dps.
-0.00001
Let o be (-4)/6*(56 + (1 - 0)). Let k = o - -50. Round k to the nearest ten.
10
Let c(v) = -626*v - 10. Let w be c(11). Let b = w + 1918. Let f = 8378 + b. What is f rounded to the nearest one thousand?
3000
Let q = 13848336 + -13848388.000058. Let c = q + 52. Round c to 5 dps.
-0.00006
Let o = -18.557427 + -9258148.442573. Let t = o + 9258166.81000055. Let m = -0.19 - t. What is m rounded to seven dps?
-0.0000006
Let t be (-2)/5 + 100408/70. What is t rounded to the nearest 100?
1400
Suppose -4*z + 9*d - 26639997 = 10*d, -4*d = -3*z - 19980012. Round z to the nearest 1000000.
-7000000
Let g = 27 + -30. Let h = 8147.1 - 8150.09992. Let q = h - g. What is q rounded to 4 decimal places?
0.0001
Let q = -89.7 + 93.71. Round q to one decimal place.
4
Let a = -246 - -172. Let v = -74.104 - a. Round v to 2 decimal places.
-0.1
Let x = -130 - -128.6. Let t = -1507381.399967 - -1507380. Let c = x - t. What is c rounded to 5 dps?
-0.00003
Suppose -2*y + 2 - 4 = 0. Let z(d) = 57*d**2 + 2*d + 1. Let c be z(y). What is c rounded to the nearest ten?
60
Let n = 4.617553 + -4.613. What is n rounded to 4 decimal places?
0.0046
Let q = -460.000344 + 460. What is q rounded to 4 decimal places?
-0.0003
Let f = 0.529 - -0.61. Let y = -1.1 + f. What is y rounded to 2 decimal places?
0.04
Let y = -2511.1127 - -2511. Round y to three decimal places.
-0.113
Let t = 1.52831491 + -1.5282. What is t rounded to 5 dps?
0.00011
Let c be 0/(4*4/8). Suppose c = -5*t - 5*z + 1325, -2*z + 1127 - 327 = 3*t. Round t to the nearest 100.
300
Suppose g + q - 99 = 0, 4*q - 7 = -5*g + 485. Let o be 1710/(-16) + (-12)/g. What is o rounded to the nearest 10?
-110
Let h = 10.61 - -0.29. Let q = 1.92 - -16.28. Let s = h - q. Round s to zero dps.
-7
Let b = -72.6 - -79.26. Round b to one dp.
6.7
Let n = 210 + -209.313. What is n rounded to two decimal places?
0.69
Let i = -1229 + 3429. What is i rounded to the nearest 1000?
2000
Suppose 2*v + 6*b - b = 27859, -5*v - 4*b + 69639 = 0. Round v to the nearest one hundred.
13900
Let h = -125775654.13 + 125781870.752927. Let g = -6216.5 + h. Let j = g + -0.123. Round j to five dps.
-0.00007
Let k = -3.37 + 208.37. Let m = k + -88. Let g = -116.49 + m. What is g rounded to 1 dp?
0.5
Let y = -3.9 - -3.4. Let v = -6.8 + y. What is v rounded to the nearest integer?
-7
Let f = 209 + 52. Suppose -3*l = f - 42. What is l rounded to the nearest ten
|
{
"pile_set_name": "DM Mathematics"
}
|
prime factors of 2/(-4) - y/(-38)?
7, 13
List the prime factors of 282/((-4)/10*(-70)/84).
2, 3, 47
Suppose 0*p + 84 = -3*p. Let d = 31 + p. List the prime factors of d.
3
Let v(k) = k**3 - 18*k**2 - 22*k + 18. List the prime factors of v(20).
2, 3, 7
Suppose -5*q = -10*q + 55. Suppose q - 38 = -3*t. What are the prime factors of t?
3
Let u = -4 - -5. Let d be u*(1 + 0)*0. Suppose d = -5*n + 48 + 12. What are the prime factors of n?
2, 3
Suppose f = -3*f + 8. What are the prime factors of ((-1)/(-2))/(f/24)?
2, 3
Let s = 4593 + -1060. What are the prime factors of s?
3533
Let r = 122 + -79. What are the prime factors of r?
43
Let i(b) = b. Let a be i(5). Suppose -5*q - a*k + 0*k + 5 = 0, -3*k - 17 = -q. Suppose 0*n + 120 = q*n. List the prime factors of n.
2, 3
What are the prime factors of 24/(-4)*(-2)/(-15)*-65?
2, 13
Let y(j) = -j - 7. Let d(t) be the third derivative of t**5/60 - t**4/24 - 2*t**3 - 5*t**2. Let h be d(0). What are the prime factors of y(h)?
5
Let p = 150 + -80. Suppose 2*n = 4*n + 3*c - 56, p = 3*n + c. List the prime factors of n.
2, 11
Suppose -2*h + 19*r = 23*r - 54, 0 = 3*r + 12. Let y = 69 + -47. Let x = h - y. What are the prime factors of x?
13
Let w(y) = -13*y + 16. Let m(c) = 4*c - 5. Let z(l) = -7*m(l) - 2*w(l). Suppose k = 2*v + 7, 3*k - 2*v = -7*v - 34. List the prime factors of z(k).
3
Let v = 38 + -135. Let o = v - -177. What are the prime factors of o?
2, 5
Let i(n) = n + 1. Let l be i(4). Suppose 5*f - 2*f = 0. Suppose f*d + l*d - 45 = 0. What are the prime factors of d?
3
Suppose 3*m - 4*m + 22 = 4*j, -4*m - 5*j = -132. Let h = 21 + m. List the prime factors of h.
59
Let r(p) = -p**3 + 5*p**2 + p + 13. What are the prime factors of r(5)?
2, 3
Let w(k) = 189*k**2 - 4*k - 6. What are the prime factors of w(-2)?
2, 379
Let y(b) = -b + 12. Let i be y(0). Let d = -9 + i. Suppose -x - d*x = -100. List the prime factors of x.
5
Let u(l) be the first derivative of l**2 + 11*l - 4. What are the prime factors of u(5)?
3, 7
Let s = 1518 + -872. List the prime factors of s.
2, 17, 19
Suppose -4*b = -b - 96. Suppose -17*l = -11*l - 12. List the prime factors of l*-2*b/(-4).
2
Suppose -5125 - 2707 = -22*q. List the prime factors of q.
2, 89
Let p(b) = 27*b**2 - 2*b - 8. What are the prime factors of p(5)?
3, 73
Suppose 3*u + 2*u - 235 = 0. Suppose -5*y + 3*p - u = -5, 3*p = 2*y + 24. Let t = y + 11. List the prime factors of t.
5
Let n(m) = 55*m - 5. Let w be n(16). Suppose 0 = -5*q - 4*t + w, 0*q = -4*q + 2*t + 700. What are the prime factors of q?
5, 7
Let n(g) = g**2 + 2*g - 2. Let f be n(-4). Let s be (f/9)/((-2)/(-51)). Suppose -49 = -3*z + s. List the prime factors of z.
2, 11
Let y(l) = l**3 + 15*l**2 - 17*l + 18. Let u(h) = -8*h. Let v be u(2). Let z be y(v). Suppose 249 = 5*k + z. List the prime factors of k.
43
Let o be (-3)/6 + 303/6. Let m = o + -45. What are the prime factors of m?
5
Let l be -123 - (-4)/(8/(-6)). Let i be l/35 - 4/10. Let y = 13 + i. List the prime factors of y.
3
Let s = -1 - -1. Suppose 3*w - 33 = 3*d, -2*w + 7 = -0*w + d. Suppose s*h + 198 = w*h. List the prime factors of h.
3, 11
Let d(k) = -4*k - 24. Let i be d(-6). Suppose -9*p + 692 - 8 = i. What are the prime factors of p?
2, 19
Suppose 5*j - 1134 = 8311. List the prime factors of j.
1889
Suppose -4*t + 0*a + 3*a = -27, -t + 3*a = -18. Suppose t*d - d = 0. Suppose d = 3*z - 4*p - 62, -5*z = p - 2*p - 75. What are the prime factors of z?
2, 7
Suppose -6*y = -4 - 14. Suppose -f + 148 = -y*f. List the prime factors of f/((1 + 0)*-2).
37
Suppose 0 = -h - 16 + 316. List the prime factors of 1/((-10)/(-25) - 117/h).
2, 5
Let s = 217 + -36. Suppose 0 = -5*d - 4*x - 155, 5*d + x = 11 - s. Let m = -27 - d. What are the prime factors of m?
2
Let b = -170 + 288. List the prime factors of b.
2, 59
Let r = 3498 + -889. List the prime factors of r.
2609
Suppose 0 = 3*m + 12, -3*t - 154 + 1152 = -2*m. List the prime factors of t.
2, 3, 5, 11
Let k(g) = 2*g**2 + 2*g - 5. Let d(o) = -3*o - 3. Let b be d(-3). List the prime factors of k(b).
79
What are the prime factors of 13000/38 - ((-224)/(-133))/16?
2, 3, 19
Let k = -1 + 0. List the prime factors of 1*(k + 2*20).
3, 13
Let x = -414 - -679. List the prime factors of x.
5, 53
Let k(v) = -v + 4. Let z be k(2). Suppose 2*q = -z*i, 3*i = -q + i - 4. List the prime factors of q.
2
Let b(n) = 280*n - 16. List the prime factors of b(1).
2, 3, 11
Let x = 20 + 280. What are the prime factors of (6 + 0)/((306/x)/17)?
2, 5
Let l(q) = -68*q + 17. Let a(i) = -17*i + 4. Let t(o) = 17*a(o) - 4*l(o). What are the prime factors of t(-9)?
3, 17
Let f(j) = j**3 + 13*j**2 - 18*j - 24. Let o be f(-13). Let t = o - 42. What are the prime factors of t?
2, 3, 7
Suppose 3416 + 3370 = 18*l. Suppose 4*f + 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate 3 + -4 + 0 + (2 - -2).
3
Evaluate 52 + -44 + (-1 - 1).
6
(0 - 1) + -2 + 5 + -5
-3
What is the value of 0 + -3 - (-10 - (1 + -7))?
1
11 + 4 - 2 - 21
-8
What is the value of 4 - (4 - 0) - 1 - 0?
-1
Evaluate -3 + 9 + 2 + -10.
-2
Evaluate -11 + (2 - (-10 + 7)).
-6
Calculate (3 - 4) + -3 + 11 + -3.
4
-5 + -12 + 17 + (0 - 2)
-2
(9 - 5) + -4 - -2
2
What is (43 - 57) + 1 + 6?
-7
Calculate 3 + (-3 - 0) + 3 + -3.
0
3 - ((0 - -1) + 0 + 1)
1
Evaluate -4 - (3 + -2 - 5).
0
What is -1 - 1 - (2 - -1)?
-5
Evaluate (-3 - -3 - 3) + 0.
-3
What is the value of (2 - 1) + (1 - (4 - 6))?
4
-2 + (2 - 3) + 2 + 3
2
What is (-12 - -5) + (-9 - -16) + -4?
-4
What is the value of 5 + 1 + -13 + -1 + 2?
-6
What is 13 + (6 - 1 - 15 - -3)?
6
-10 - (6 + (-15 - -4))
-5
-1 + 7 + -3 + (1 - 5)
-1
What is the value of -2 + (3 + -3 - -4)?
2
Calculate 6 - (-1 + (-6 - -12)).
1
What is 1 + -3 - (11 + -8)?
-5
Calculate -5 - (-2 - (-2 - -4 - -1)).
0
What is the value of -1 + -3 - (12 - 12)?
-4
Calculate 10 - ((3 - 9) + 9).
7
-2 - (7 + (-5 - 0))
-4
What is the value of -3 - (-5 - -2) - 2?
-2
Evaluate 2 + 4 + (8 - 11) + -5.
-2
Evaluate (-6 - -10) + 3 - 6.
1
What is the value of 5 + (-2 - 2) - -1 - 4?
-2
10 + (6 - 6 - 2) - 6
2
Calculate -55 + 45 + 21 + -2.
9
What is the value of -4 + 1 + -18 + -13 + 39?
5
Calculate 5 + -10 - (1 - 3).
-3
Calculate 5 - (8 + -4) - -4.
5
Calculate 3 - (1 + 3 + (0 - 7)).
6
Evaluate 9 + -9 - (2 + -5).
3
Evaluate 1 - -1 - (2 + 0 + -1).
1
What is 7 - (20 - (23 - 11))?
-1
What is the value of -7 + (-3 - (-6 + 1))?
-5
Calculate -5 + 5 + -6 + 0.
-6
What is (-2 - (3 - (0 + 2))) + -1?
-4
Evaluate -4 - -2 - (-4 - 0) - 0.
2
Calculate 3 + -8 + 6 + 1.
2
What is the value of 0 + 7 + -16 + -1 + 4?
-6
Evaluate 4 - (-7 - (-4 + -6 + -1)).
0
What is 0 + -7 + -10 - -8?
-9
2 + (-9 - (6 + -10))
-3
Calculate 12 + -19 - -6 - (0 + -2).
1
1 + (3 - 1) + (0 - 1)
2
What is (-8 - -9) + 0 + 1 - 1?
1
Evaluate 16 - 12 - (1 - 1).
4
What is the value of 11 + -1 + -8 - -2?
4
Calculate -2 - (-1 + 4 + -9).
4
3 + 5 - (2 + 0)
6
What is the value of 8 - (1 + (-8 - -5) - -7)?
3
Evaluate (0 - -2 - 1) + (30 - 35).
-4
What is -109 + 117 - (1 - -3)?
4
-19 - (8 + -10 - 13)
-4
Evaluate -12 - -10 - (-2 + 0).
0
Evaluate -4 - ((-11 - -6) + 6).
-5
0 - -1 - (-15 + 16)
0
(4 - 6) + 0 - (0 - 0)
-2
8 + (-7 - 9) + 8 - -8
8
Calculate 9 + (10 - 11) + -10.
-2
-2 + -6 + 2 - (-9 + 6)
-3
Calculate -1 - (-6 - (-6 + (-6 - -10))).
3
What is -14 - (-7 - (14 - 8))?
-1
What is -60 - -70 - (8 + -1)?
3
Evaluate 1 + -11 - (-13 + 9 + -2).
-4
What is -1 - 2 - (-7 - -6)?
-2
Calculate 2 + (1 - 2) + (-9 - -1).
-7
Calculate -4 - ((-4 - -8) + -6).
-2
Calculate 329 - 314 - (0 - -16).
-1
Evaluate 12 - (12 + -8) - 8 - -10.
10
6 + (3 - 3) - 5
1
What is 2 + (6 - -2) + -7?
3
-8 + (8 - (11 - 6))
-5
Calculate -3 - (-3 + 3 + -4).
1
Calculate -4 + 5 + -4 + -2.
-5
What is -5 + (-2 + -1 - -4 - -1)?
-3
What is the value of 4 + (1 + 3 - 5)?
3
Evaluate -7 + 3 + (-4 - -8).
0
What is -1 + -3 - (-10 + 5)?
1
What is -1 + (6 - 4) + 2?
3
4 - (2 + 4 + -8 + 11)
-5
Calculate (-2 - (0 - 2)) + -6.
-6
Evaluate -8 + -1 - (-33 + 28).
-4
Calculate -3 - (-1 - -1) - (-290 - -292).
-5
Evaluate 1 - 5 - (4 + 1 + -7).
-2
Evaluate 2 + -2 + (2 - 2) + -2.
-2
What is the value of 0 + (3 - -1) + -2?
2
-14 - -10 - ((-2 - 0) + 2)
-4
Calculate -2 + 0 + 1 + (-12 - -9).
-4
What is -13 - (9 - (7 - -12))?
-3
(8 - 5) + (1 - 0) - 6
-2
What is -12 - 1 - (-12 + 19 + -13)?
-7
3 + -6 + 9 - (-1 + -1)
8
What is the value of 10 + -11 + 2 + 4 - 5?
0
Calculate 4 + 0 - (9 + -9 - -1).
3
-6 - (3 + (6 - (-4 - -14)))
-5
Calculate 1 - (3 + -2 + -4).
4
What is -6 - (-5 - -1) - -3?
1
Calculate -3 + -1 - (-98 + 96).
-2
What is 0 - (0 - (-6 - -1) - 8)?
3
What is the value of 1 + 1 + 4 + -3 + 4?
7
Evaluate -7 - (12 - (16 - 0)).
-3
What is the value of (1 + -4 - 0) + 5?
2
Evaluate 7 + (1 - 3) + -5 - -2.
2
What is (5 + -2 - -2) + (4 - 9)?
0
What is -10 + 4 + 8 + -13?
-11
Calculate -4 + 6 - (7 - (-2 + 3)).
-4
What is -24 + 21 + (-1 - -2)?
-2
12 - (3 - -10) - 9
-10
What is 0 - (3 - (2 + 1))?
0
(-
|
{
"pile_set_name": "DM Mathematics"
}
|
between 11:58 AM and 12:38 PM?
40
How many minutes are there between 4:58 AM and 5:47 AM?
49
What is 641 minutes before 11:06 PM?
12:25 PM
How many minutes are there between 1:14 PM and 12:44 AM?
690
What is 616 minutes after 9:26 PM?
7:42 AM
How many minutes are there between 3:48 AM and 1:31 PM?
583
How many minutes are there between 2:35 AM and 11:25 AM?
530
What is 171 minutes after 4:34 PM?
7:25 PM
How many minutes are there between 5:45 AM and 2:13 PM?
508
What is 504 minutes after 9:40 AM?
6:04 PM
How many minutes are there between 7:01 PM and 6:30 AM?
689
How many minutes are there between 3:00 AM and 10:36 AM?
456
What is 414 minutes before 4:00 AM?
9:06 PM
What is 293 minutes after 6:31 AM?
11:24 AM
How many minutes are there between 2:49 AM and 11:16 AM?
507
What is 520 minutes after 3:44 AM?
12:24 PM
How many minutes are there between 5:43 PM and 1:20 AM?
457
What is 664 minutes before 9:14 PM?
10:10 AM
What is 505 minutes before 9:31 PM?
1:06 PM
What is 423 minutes before 2:59 PM?
7:56 AM
How many minutes are there between 12:24 PM and 12:59 PM?
35
How many minutes are there between 4:41 PM and 4:36 AM?
715
What is 706 minutes before 10:22 AM?
10:36 PM
How many minutes are there between 11:22 AM and 10:05 PM?
643
What is 158 minutes after 11:27 PM?
2:05 AM
How many minutes are there between 4:02 AM and 10:47 AM?
405
How many minutes are there between 2:10 PM and 10:20 PM?
490
What is 295 minutes after 11:37 PM?
4:32 AM
What is 445 minutes after 11:15 AM?
6:40 PM
What is 289 minutes after 5:41 PM?
10:30 PM
What is 254 minutes after 3:47 AM?
8:01 AM
How many minutes are there between 7:26 AM and 4:14 PM?
528
What is 354 minutes after 8:40 AM?
2:34 PM
What is 680 minutes after 11:26 AM?
10:46 PM
How many minutes are there between 3:04 AM and 10:41 AM?
457
What is 707 minutes before 10:39 PM?
10:52 AM
What is 693 minutes before 9:00 PM?
9:27 AM
How many minutes are there between 6:22 AM and 10:33 AM?
251
How many minutes are there between 6:52 PM and 10:50 PM?
238
What is 260 minutes before 5:50 PM?
1:30 PM
How many minutes are there between 12:49 PM and 4:03 PM?
194
What is 244 minutes after 9:54 PM?
1:58 AM
How many minutes are there between 9:38 PM and 6:56 AM?
558
How many minutes are there between 9:18 PM and 8:02 AM?
644
What is 376 minutes before 11:41 AM?
5:25 AM
What is 386 minutes after 12:16 AM?
6:42 AM
What is 667 minutes after 2:50 AM?
1:57 PM
How many minutes are there between 6:11 PM and 5:56 AM?
705
How many minutes are there between 5:26 PM and 10:35 PM?
309
What is 560 minutes after 5:40 AM?
3:00 PM
What is 391 minutes after 9:19 PM?
3:50 AM
What is 359 minutes after 6:44 AM?
12:43 PM
How many minutes are there between 8:03 AM and 9:39 AM?
96
What is 154 minutes before 3:42 AM?
1:08 AM
What is 669 minutes after 10:07 AM?
9:16 PM
How many minutes are there between 8:54 PM and 6:24 AM?
570
How many minutes are there between 8:24 PM and 4:18 AM?
474
How many minutes are there between 6:39 PM and 9:04 PM?
145
How many minutes are there between 10:04 PM and 12:56 AM?
172
What is 244 minutes before 3:16 AM?
11:12 PM
What is 418 minutes after 12:21 AM?
7:19 AM
How many minutes are there between 7:35 PM and 11:18 PM?
223
How many minutes are there between 7:52 AM and 8:02 AM?
10
How many minutes are there between 2:39 PM and 11:34 PM?
535
How many minutes are there between 9:23 PM and 9:42 PM?
19
How many minutes are there between 10:26 AM and 9:12 PM?
646
How many minutes are there between 9:22 AM and 1:56 PM?
274
How many minutes are there between 8:34 AM and 3:38 PM?
424
What is 446 minutes before 11:26 AM?
4:00 AM
How many minutes are there between 10:35 AM and 9:21 PM?
646
How many minutes are there between 8:22 AM and 8:21 PM?
719
What is 528 minutes after 8:36 AM?
5:24 PM
What is 283 minutes after 5:43 PM?
10:26 PM
How many minutes are there between 4:58 PM and 5:38 PM?
40
How many minutes are there between 2:31 AM and 12:38 PM?
607
How many minutes are there between 8:51 AM and 10:27 AM?
96
How many minutes are there between 12:05 AM and 12:58 AM?
53
How many minutes are there between 2:28 AM and 11:31 AM?
543
How many minutes are there between 5:23 PM and 1:34 AM?
491
How many minutes are there between 5:35 AM and 4:02 PM?
627
What is 289 minutes after 5:14 AM?
10:03 AM
How many minutes are there between 6:36 AM and 4:00 PM?
564
How many minutes are there between 11:37 PM and 2:43 AM?
186
What is 39 minutes before 4:57 PM?
4:18 PM
How many minutes are there between 5:02 PM and 4:33 AM?
691
How many minutes are there between 5:04 PM and 7:59 PM?
175
What is 583 minutes after 8:15 PM?
5:58 AM
What is 667 minutes before 8:42 AM?
9:35 PM
How many minutes are there between 6:23 PM and 9:45 PM?
202
What is 432 minutes before 2:33 PM?
7:21 AM
What is 63 minutes before 7:37 PM?
6:34 PM
How many minutes are there between 10:44 PM and 4:21 AM?
337
How many minutes are there between 9:39 PM and 4:04 AM?
385
What is 63 minutes after 12:10 PM?
1:13 PM
How many minutes are there between 11:25 PM and 2:17 AM?
172
How many minutes are there between 3:16 PM and 6:40 PM?
204
How many minutes are there between 12:27 AM and 5:48 AM?
321
How many minutes are there between 5:40 PM and 10:57 PM?
317
How many minutes are there between 1:43 PM and 7:37 PM?
354
How many minutes are there between 11:03 PM and 4:26 AM?
323
How many minutes are there between 6:17 AM and 4:40 PM?
623
How many minutes are there between 9:32 AM and 10:32 AM?
60
What is 240 minutes before 6:06 AM?
2:06 AM
How many minutes are there between 7:30 PM and 5:18 AM?
588
What is 617 minutes after 3:02 AM?
1:19 PM
What is 605 minutes after 6:06 AM?
4:11 PM
What is 36 minutes after 9:11 AM?
9:47 AM
How many minutes are there between 1:56 PM and 8:52 PM?
416
How many minutes are there between 8:27 PM and 12:37 AM?
250
How many minutes are there between 9:44 AM and 9:46 AM?
2
What is 429 minutes after 4:55 PM?
12:04 AM
What is 217 minutes before 1:38 PM?
10:01 AM
What is 524 minutes after 9:45 PM?
6:29 AM
How many minutes are there between 5:48 PM and 1:14 AM?
446
How many minutes are there between 8:15 PM and 7:12 AM?
657
How many minutes are there between 5
|
{
"pile_set_name": "DM Mathematics"
}
|
g(v).
-19
Let c(m) = m**3 - 2*m + 2*m + 3*m**2 - 2. Let n(r) = 2*r**3 - 83*r**2 + 41*r - 4. Let p be n(41). Calculate c(p).
-18
Let v(y) = -158 + y + 77 + 86 - 4*y. Calculate v(7).
-16
Let p = 881 - 878. Let z(s) = 4*s - 11. Give z(p).
1
Let u(d) = d - 8. Let y(h) = -4*h**3 + 7*h**2 + 5*h + 4. Let r(i) = -i**3 - i. Let p(k) = -5*r(k) + y(k). Let s be p(-5). Give u(s).
-4
Let m(t) be the third derivative of t**6/120 + 11*t**5/60 - 11*t**4/24 + 13*t**3/6 - 35*t**2 - 11*t. Calculate m(-12).
1
Let o(i) = -2*i + 93831 + 4*i - 93817. Determine o(-10).
-6
Let g(k) = -k**2 + 8*k + 1. Let d be g(8). Suppose 3*u = 22 - 4. Let m(w) = -u*w**3 + 0*w**2 + 52*w + w**2 - 53*w. Give m(d).
-6
Let h(x) be the second derivative of x**5/20 - 7*x**4/12 - 4*x**3/3 - 7*x**2/2 + 271*x. Determine h(8).
-7
Suppose -6 = -5*z + 9. Let q(l) be the second derivative of 6*l + 0 + 1/2*l**2 + 1/20*l**5 - 1/4*l**4 + 0*l**3. Calculate q(z).
1
Let r(i) = i**3 - 26*i**2 + 27*i + 37. Let p(n) = n**2 - 3*n + 3. Let h(w) = -2*p(w) - r(w). Calculate h(23).
3
Let l(q) = q - 1. Let d(k) = k - 5. Let o(y) = 4*d(y) - 3*l(y). Determine o(0).
-17
Let z(l) be the first derivative of -2*l**3/3 - 43*l**2/2 - 20*l - 373. Give z(-21).
1
Let k(n) be the first derivative of 0*n**3 - 1/2*n**2 + 6*n - 5 - 1/3*n**4. Let m(i) be the first derivative of k(i). Determine m(2).
-17
Let c(g) = -8*g + 15. Let u = -1 + 8. Let y(x) = 7*x - 14. Let a(p) = u*y(p) + 6*c(p). Suppose 2*l = o - 15, o - 25 = -3*o + l. Calculate a(o).
-3
Let a(b) = 13*b**2 + 2*b - 1. Suppose -3*r + 4*r - 5*k = 6, -10 = -5*r + 5*k. Calculate a(r).
14
Suppose 3*f - 3 - 28 = -4*n, 2*n = -4*f + 28. Let p(z) = -z**3 + 4*z**2 + 8*z - 4. What is p(f)?
11
Let u(x) = -5 - 3*x**2 - x**2 - x**3 + 2*x**3 + 3*x + 9*x**2. Let s be 4/8*(-9 - -1). Let c be u(s). Let v(z) = 6*z**2 + 1. What is v(c)?
7
Let o be (2 + (-13)/6)*3/(-2). Let v(f) be the first derivative of -6 - o*f**4 + 3*f**2 - 4/3*f**3 - 5*f. Calculate v(-5).
-10
Let y(a) = -a**3 - 18*a**2 + 11*a - 157. Let i be y(-19). Let l(p) = 4*p - 3. Give l(i).
-23
Let i(s) = 413*s**2 + 5*s - 832*s**2 + 418*s**2 - 3. Give i(3).
3
Let k(m) = m - 10. Let i(p) = -p + 8 - 3*p - 26 - 6. Let f be i(-6). What is k(f)?
-10
Let m(j) = -2*j - 1. Let k(v) = -21 + 18*v**2 + 23 - v**3 + 5*v - 17*v**2. Let n be -4*(-1)/(4/3). Let c be k(n). Give m(c).
1
Suppose 4*m = -m + 35. Suppose m*v - 2*v - 8 = -3*r, -3*v = -3*r. Let n(x) = 2 - v + 4*x**2 + 4 - 3*x - 2 - x**3. Determine n(3).
3
Let b = 57 - 33. Let j be (-5)/((-15)/(-6)) + b. Suppose 4*v - 26 = -j. Let w(n) = 8*n**2. What is w(v)?
8
Let d be 1*42/22 + ((-796)/(-44) - 18). Let t(o) = -o**2 - o. Let x(q) = q - 2. Let h(f) = -t(f) - x(f). Give h(d).
6
Let x be (-27)/(-9) - 10 - -2. Let f(s) = -s + 5. Let b be f(4). Let a(k) = -k + 1 + 3*k + b. Calculate a(x).
-8
Suppose -1 = 5*h + 4. Let f(y) = -15*y + 3. Let s(d) = -5*d - 18. Let k be s(-3). Let n(b) = -b + 1. Let j(a) = k*n(a) + f(a). Give j(h).
12
Let y be ((-440)/(-40))/(1 + -1 - 1). Let p(r) = r - 7. Determine p(y).
-18
Let o(a) be the third derivative of -a**6/120 + a**5/60 - a**4/24 + a**3/6 + 2*a**2 + 44*a. What is o(3)?
-20
Let o(p) = p. Let g(v) = 5*v - 14. Let i(s) = -g(s) + 4*o(s). Suppose 12 = -2*n + 5*n. Suppose -n*k + 36 = 2*k. Give i(k).
8
Suppose 4*g - 19 + 19 = 0. Let w(r) = 3*r - 9. Calculate w(g).
-9
Let u = 15 - 10. Let h be 3/(((-15)/(-6))/u). Let l(v) = -v**3 + v**2 + v - 1. Let x(q) = 5*q**3 - 6*q + 1. Let k(w) = -6*l(w) - x(w). Calculate k(h).
5
Let i(v) = 9*v**2 + 2*v + 1. Suppose -4*s + 10 = s. Suppose 0 = s*a + 8, -3 = j + 2*a + 6. What is i(j)?
8
Let w(r) = -r - 163*r**2 + 80*r**2 + 79*r**2. Suppose 3*b - 25 = -2*b. Suppose -f + b*f + 4 = 0. Give w(f).
-3
Let z(h) = 3*h**3 + 24 + 3*h**2 - 2*h + 3 - 25. Calculate z(2).
34
Suppose 2 = n - 0*n. Let b be 2 - (n - 0)*-1. Let d(w) = 2*w. Give d(b).
8
Suppose 0*m + 95 = -5*
|
{
"pile_set_name": "DM Mathematics"
}
|
to g*f + r + a*f**2 and give a.
11
Rearrange (2 - 3*k**2 + 120*k + 18*k**2 - 118*k)*(-3*k**2 + 3*k**2 + 2*k**2) to the form j*k**2 + m*k**4 + t*k + l + y*k**3 and give l.
0
Express (1 + 3 + 1)*(-25 - 24 + 47 - 13*w) in the form k*w + i and give i.
-10
Rearrange -4*o**2 + 0*o + 1 + 5*o + 3*o**4 - 5*o to the form i + j*o**2 + u*o + z*o**3 + f*o**4 and give j.
-4
Express -o + 6*o**2 - 19*o**2 + 10*o**2 in the form q*o**2 + s + l*o and give q.
-3
Rearrange 29 + t**2 - 60 + 18*t + 33 + 2*t**3 to r*t**2 + l*t**3 + h*t + a and give r.
1
Express -3*v - 7*v + 5*v as h + n*v and give n.
-5
Express 16*g**2 - 15*g**2 + 5*g**3 - 4*g**3 in the form o + v*g**2 + n*g**3 + h*g and give n.
1
Rearrange (3*i**2 - i**2 - 84*i + 1 + 87*i)*(4*i + i - 4*i) to y*i**3 + r*i**2 + w*i + m and give y.
2
Rearrange -3*u**2 - 3 + 0*u**2 + 3*u**3 - u + 4*u**2 to the form o*u**2 + l + g*u + f*u**3 and give o.
1
Rearrange (-1 - 2*h - 1 + 4)*(-17 - 9 + 5) to the form l + c*h and give l.
-42
Express -4 + 9300*c + 1 - 9295*c + 2 - c**3 as f + r*c**2 + t*c**3 + x*c and give t.
-1
Express (1 + 1 - 4)*(2*s - s - 3*s) + 387 + 25*s - 387 in the form i*s + q and give i.
29
Express 0*z**3 - 3*z**3 + 2*z**3 - 7 + 0*z**3 + z**4 + 2*z**2 in the form f*z**4 + x*z + y*z**2 + o + d*z**3 and give d.
-1
Express -18*k**3 + 16 + 30*k**3 - 13*k**3 in the form x + p*k**3 + r*k**2 + o*k and give x.
16
Rearrange u**3 - 4*u**3 + 2*u**3 + 0*u**3 - u**2 to b + r*u**3 + m*u + f*u**2 and give m.
0
Express (-6*k**2 - 3*k**2 + 4*k + 11*k**2)*(1 + 0 - 3) as v + q*k + u*k**2 and give u.
-4
Express 0 + 0 - 61*c + 205*c as q + h*c and give q.
0
Rearrange (4 - 2 - 4)*(3 - 3 - 4*n**2) - 6 - 3*n**2 + 6 + (-4*n + 4*n - 2*n**2)*(-4 + 0 + 5) to o + k*n + u*n**2 and give u.
3
Express -s**3 + 2*s + 0*s - 4*s**3 + 4*s**3 + 3*s**2 in the form c*s**2 + d*s**3 + b*s + j and give b.
2
Rearrange (-8*y + 9*y + 8*y)*(0 + 0 - 1)*(-3*y + 0*y - y) to the form u*y**2 + s + r*y and give u.
36
Rearrange (-q - q + 25*q)*(0*q - 4*q + q) to v + w*q + h*q**2 and give h.
-69
Express -k**2 + 4*k**2 + k**3 - 2*k + 8*k as z*k + u + r*k**2 + p*k**3 and give r.
3
Express 63*o**2 - 1 + 2*o**3 - 33*o**2 + o - 27*o**2 in the form z*o + n*o**3 + t + m*o**2 and give m.
3
Express 11 + 0*n + 59*n - 11 in the form a + t*n and give t.
59
Rearrange (-3*w + 58 - 56 - 4*w)*(-3 + 4 + 1) to the form z*w + b and give z.
-14
Express 2*l**4 - 22 - 20 - 2*l**2 + 43 + 10*l**3 in the form z + t*l**4 + y*l**2 + b*l + s*l**3 and give t.
2
Rearrange ((-4 + 4 - 1)*(-2*c + 6*c - 2*c) - 5*c + 25 - 131 + 4*c)*(-4 + 2 + 3) to y*c + u and give u.
-106
Rearrange -p + 2*p - p - 75*p**2 to b*p + k*p**2 + y and give k.
-75
Rearrange 3*q - 3*q + 2*q + 2*q + q - q + 4*q + q - 3*q + (4 + 1 - 4)*(-4*q - q + 3*q) + 1 - q - 1 + 0*q - 5*q + 8*q to the form b + v*q and give v.
6
Rearrange (-27*x**3 - 56*x**3 + 46*x**3)*(-5*x + x + 2*x)*(-1 + 3 - 1)*(3 - 2 + 1) to the form z*x**4 + q + r*x + k*x**2 + g*x**3 and give z.
148
Rearrange (3 - 3 - 2*g + (-11*g + 2*g + 5*g)*(3 - 4 - 1))*(-3 + 2 + 2)*(-1 - 3 + 3) to z + l*g and give l.
-6
Express (-2 + 1 + 3)*(-g**2 + 3*g**2 + 0*g**2) - 93*g + 93*g + 2*g**2 as h*g**2 + s + d*g and give h.
6
Express (3 - 2 + 0)*(3 - 4 - 13)*(4 - 1 - 6)*(-2*q - 4*q + 5*q) in the form m + n*q and give n.
-42
Express (-3*c + c + 4*c)*(-7 + 0*c + 19*c + 8) + c**2 + 3*c - 3*c as j*c**2 + i + b*c and give b.
2
Express -2*s + 16*s**2 + 7*s**2 - 26*s**2 in the form l + d*s**2 + v*s and give v.
-2
Rearrange (2*m**4 - 20*m**3 + 20*m**3)*(2 - 3 - 2) to the form p + o*m**2 + n*m**4 + k*m + t*m**3 and give n.
-6
Rearrange 17*d + 16*d - 38*d to the form c*d + f and give c.
-5
Rearrange 2*z**3 + z**4 + 0*z**2 + z**3 + 2*z**2 to l*z**3 + s*z**2 + y*z + x*z**4 + g and give x.
1
Rearrange (-18 - 11*l + 18)*(0*l - 2*l + l) + (-3 + 0 + 1)*(-3*l**2 + 0*l**2 + 4*l**2) to r*l + o + w*l**2 and give r.
0
Express (-5 + 0 + 3)*(-2 + 1 + 0)*(6*a + 17 - 17) + 3*a - 2*a - 2*a + (0 - 2 + 3)*(a + 2*a - a) in the form w*a + k
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 18. Let o be k(-8). What is the common denominator of (-84)/20 + 4 - o/(-540) and -137/12?
108
Let l = -21 - -32. Suppose -5*o = -3*m - 32, 2*o = -5*m + 4*o - 85. Let c = 21 + m. Calculate the lowest common multiple of l and c.
22
Suppose -3*y - v = 427, 15*y - 19*y + 3*v = 578. Let h = y + 169. Find the common denominator of 48/7 and h.
7
Let d be 2/(21/14 - 1). Let c be (-13)/(-5) - 4/(-10). Suppose -c*o + 5*k = -86 + 6, 3*o - 76 = d*k. Calculate the smallest common multiple of 16 and o.
80
Let m = -15150403357/966 + 15683649. Let n = m - 32/21. Find the common denominator of 5/22 and n.
506
Suppose -6*x + x + 92 = 4*c, -c - 3*x = -16. What is the common denominator of (c/(-90))/((-20)/(-330)) and (-16)/4 - 47/(-7)?
105
What is the common denominator of ((-58)/(-25))/((-621)/(-115)) and 1/10?
270
Let p = -5405/246 + -90/41. Let q = -185830/38007 + 2/4223. Find the common denominator of p and q.
18
What is the common denominator of -35/66 and (1157/39)/(1100/(-15))?
660
Let h(m) = 2*m**2 - 3*m - 44. Calculate the lowest common multiple of 21 and h(-7).
525
Suppose -4*z + 3308 + 789 = h, 0 = 4*h + 12. Let p = -20493/20 + z. What is the common denominator of -75/22 and p?
220
Let j be (-4)/(-3) + (-912)/9. Calculate the common denominator of 87/4 and (-1355)/j + 4 + (-1)/(-5).
4
Let j be ((-4)/6)/((-7)/189). Calculate the common denominator of (-20)/j*(-69)/(-8) and (39/(-8))/(3/(-7)).
24
Let d(x) = -x**3 + 31*x**2 - 80*x - 2. What is the lowest common multiple of d(28) and 120?
1320
Suppose 3*p - 904 = -5*g, -2*g + 2*p + 550 = g. Let x = -6396/17 - -63229/170. What is the common denominator of 319/g + (-4)/(-14) and x?
130
Suppose 0 = -4*a - 16, 3*z + z - 5*a + 1108 = 0. What is the lowest common multiple of (-2)/(-13) - z/26 and 5?
55
Calculate the lowest common multiple of -3*40/(-6) - 10/(-5) and (-2)/((-2 - -1)*1).
22
Find the common denominator of (-2 + (-378)/264 + 4)*1 and 26.
44
Let h be ((-3)/(-72))/(5/4678156) + 2. Let s = -38982 + h. Calculate the common denominator of s and 127/30.
30
Suppose -h - 12 = -n, n - 5 = 3*h + 7. Let z(g) = 3*g + 1. Let s(q) = -3*q - 1. Let b(j) = 3*s(j) + 2*z(j). Calculate the least common multiple of b(-5) and n.
84
Let q be 30/(-4)*(-12)/(-15). Let x = -3 - q. Let i(h) = h**2 + 8*h + 22. Calculate the smallest common multiple of i(-5) and x.
21
Let g(d) = 4*d**3 + 5*d + 7. Let u be g(-3). Let h = 126 + u. Calculate the smallest common multiple of 1 and h.
10
Let m(a) = -9*a**2 - 99*a + 2. Calculate the lowest common multiple of m(-8) and 18.
1962
Find the common denominator of ((-954)/(-594))/(6/(-18)) and -79/98.
1078
Find the common denominator of -19/18 and (11/(-216))/((-1098)/2440).
486
Suppose 100 = -x - 2*g + 294, 0 = -4*x - 4*g + 788. Suppose k = f + 265, -x = 5*f - 4*k + 1130. What is the common denominator of -85/8 and (f/(-72))/(1/(-10))?
8
Let x = 44465/16 + -2783. Let i = -147 - -1191/8. Calculate the common denominator of i and x.
16
Let w = -2315/9 - -257. Find the common denominator of -17/45 and w.
45
Suppose -40 = -n + 4*k, -4*n + 0*k + 177 = k. Let f be ((-15236)/n)/((-2)/(-30)). Let l = f - -5198. Find the common denominator of l and 38.
11
Let r(v) = -v - 18. Let x be r(-10). Find the common denominator of -53/9 and 3 - 1 - 35/x.
72
Suppose 2*o - 146 = -128. Calculate the least common multiple of 174 and o.
522
Let r = 45649/84 + -3772/7. Calculate the common denominator of r and -1 - (4888/(-48))/(-13).
12
Let v = -7603348699/23289420 + -2/17467065. Let t = v + 2858/9. Calculate the common denominator of t and 121/10.
60
Let g = 24/155 + -7861/3720. Find the common denominator of g and 21/712.
2136
Let b = -61766 + 865097/14. Let i = 7633/266 - b. Find the common denominator of 35/9 and i.
171
What is the common denominator of 35/12 and ((-43)/44075)/(4/290)?
2460
What is the common denominator of (-4)/((-8)/(-10)) + (-278)/(-80) and -31/5?
40
Let v = 9091705/17138 - -2/8569. Let x = -2707/5 + v. What is the common denominator of 61/16 and x?
80
Suppose -a + 4*i = -5, -2*i + 4 = -2*a - i. Let k be 1 + -2 - (4 - a). Calculate the common denominator of ((-30)/(-100))/(k/(-270)) and -5/18.
72
Let l be (-12)/(-18) - (-179)/(-3). Let x = 119 - l. Let t = x + -1737/10. Find the common denominator of -41/6 and t.
30
Suppose -6*f + 80 = 4*f. Let z(u) = -3 - 6*u**2 + 4 - 8*u - 3*u**2 - u**3. Calculate the lowest common multiple of f and z(-8).
8
Let z = -1288 - -1594. Calculate the smallest common multiple of 36 and z.
612
Let y be (-2)/5*(-10 + 0). Suppose -5*z = 4*w + 31, 6 = y*z - 6*z. Calculate the smallest common multiple of 4 - (w/1)/(-2) and 20.
20
Let k = 21 - 16. Suppose 6*y - k = -l + y, 0 = 5*y. Calculate the lowest common multiple of 7 and (48/(-20))/((-2)/l).
42
Let f be 3/(3/(-24)*3). Let g = 8736/173 - -1/346. Find the common denominator of (f/(-200))/(4/55) and g.
20
Let c = -6 + 10. Let l(b) = b**2 - 3*b - 18. What is the smallest common multiple of l(7) and c?
20
Let d be (8/90)/(4/11560). Let r = 9089/36 - d. Let v = -1453/153 + -1/306. Calculate the common denominator of r and v.
12
Let k be 32/(-8) + (-14)/(-2). Suppose 2*d = -3*z + k*d - 104, 2*z + 74 = -4*d. Let c = z + 40. Calculate the lowest common multiple of c and 5.
5
Suppose 18*f + 40 = 22*f. Calculate the least common multiple of 8 and f.
40
|
{
"pile_set_name": "DM Mathematics"
}
|
arest integer?
670
What is 12199035 to the power of 1/2, to the nearest integer?
3493
What is 16550842 to the power of 1/2, to the nearest integer?
4068
What is the seventh root of 18884951 to the nearest integer?
11
What is the square root of 76280 to the nearest integer?
276
What is the tenth root of 662628 to the nearest integer?
4
What is 223354 to the power of 1/10, to the nearest integer?
3
What is the eighth root of 228257 to the nearest integer?
5
What is 25617491 to the power of 1/2, to the nearest integer?
5061
What is the cube root of 214692 to the nearest integer?
60
What is 1882241 to the power of 1/2, to the nearest integer?
1372
What is the tenth root of 2138976 to the nearest integer?
4
What is 4514175 to the power of 1/2, to the nearest integer?
2125
What is 20193010 to the power of 1/10, to the nearest integer?
5
What is 1842490 to the power of 1/3, to the nearest integer?
123
What is 28053436 to the power of 1/2, to the nearest integer?
5297
What is the square root of 233204 to the nearest integer?
483
What is 22330136 to the power of 1/2, to the nearest integer?
4725
What is 1283239 to the power of 1/2, to the nearest integer?
1133
What is the third root of 5582124 to the nearest integer?
177
What is the square root of 200414 to the nearest integer?
448
What is the square root of 402130 to the nearest integer?
634
What is the tenth root of 350870 to the nearest integer?
4
What is 3602562 to the power of 1/7, to the nearest integer?
9
What is 4481039 to the power of 1/5, to the nearest integer?
21
What is the eighth root of 332872 to the nearest integer?
5
What is the sixth root of 42189 to the nearest integer?
6
What is 12637265 to the power of 1/8, to the nearest integer?
8
What is the square root of 112091 to the nearest integer?
335
What is 1375749 to the power of 1/2, to the nearest integer?
1173
What is the square root of 134648 to the nearest integer?
367
What is 1976543 to the power of 1/3, to the nearest integer?
125
What is 84096 to the power of 1/2, to the nearest integer?
290
What is the seventh root of 1476175 to the nearest integer?
8
What is the square root of 16520732 to the nearest integer?
4065
What is the third root of 17103433 to the nearest integer?
258
What is the third root of 18612128 to the nearest integer?
265
What is the cube root of 3322318 to the nearest integer?
149
What is the square root of 5365207 to the nearest integer?
2316
What is the square root of 213822 to the nearest integer?
462
What is 212462 to the power of 1/4, to the nearest integer?
21
What is the fifth root of 526893 to the nearest integer?
14
What is the cube root of 260703 to the nearest integer?
64
What is the square root of 1357215 to the nearest integer?
1165
What is 681090 to the power of 1/2, to the nearest integer?
825
What is the square root of 315617 to the nearest integer?
562
What is 27451008 to the power of 1/3, to the nearest integer?
302
What is 9317488 to the power of 1/9, to the nearest integer?
6
What is the fifth root of 458803 to the nearest integer?
14
What is 2307838 to the power of 1/2, to the nearest integer?
1519
What is the cube root of 201024 to the nearest integer?
59
What is 1716445 to the power of 1/7, to the nearest integer?
8
What is 3105131 to the power of 1/3, to the nearest integer?
146
What is the cube root of 9431960 to the nearest integer?
211
What is the eighth root of 2648541 to the nearest integer?
6
What is 74331 to the power of 1/2, to the nearest integer?
273
What is the fourth root of 65454 to the nearest integer?
16
What is 5102086 to the power of 1/2, to the nearest integer?
2259
What is the tenth root of 32221585 to the nearest integer?
6
What is 208333 to the power of 1/8, to the nearest integer?
5
What is the cube root of 1128209 to the nearest integer?
104
What is 337975 to the power of 1/5, to the nearest integer?
13
What is 28361396 to the power of 1/4, to the nearest integer?
73
What is the third root of 390853 to the nearest integer?
73
What is the square root of 793052 to the nearest integer?
891
What is 13821419 to the power of 1/2, to the nearest integer?
3718
What is the seventh root of 38839 to the nearest integer?
5
What is 5217927 to the power of 1/6, to the nearest integer?
13
What is the third root of 13765991 to the nearest integer?
240
What is 115210 to the power of 1/9, to the nearest integer?
4
What is the cube root of 449452 to the nearest integer?
77
What is the eighth root of 260351 to the nearest integer?
5
What is 75832 to the power of 1/5, to the nearest integer?
9
What is the seventh root of 757174 to the nearest integer?
7
What is the sixth root of 153973 to the nearest integer?
7
What is 2135067 to the power of 1/4, to the nearest integer?
38
What is the third root of 350762 to the nearest integer?
71
What is 383414 to the power of 1/3, to the nearest integer?
73
What is 4806254 to the power of 1/2, to the nearest integer?
2192
What is the square root of 19948821 to the nearest integer?
4466
What is the third root of 4451420 to the nearest integer?
165
What is 126360 to the power of 1/2, to the nearest integer?
355
What is 25259 to the power of 1/8, to the nearest integer?
4
What is the fourth root of 6261494 to the nearest integer?
50
What is the square root of 1766787 to the nearest integer?
1329
What is the cube root of 24108945 to the nearest integer?
289
What is the fourth root of 551084 to the nearest integer?
27
What is 151635 to the power of 1/2, to the nearest integer?
389
What is the third root of 177358 to the nearest integer?
56
What is 771697 to the power of 1/4, to the nearest integer?
30
What is 707358 to the power of 1/3, to the nearest integer?
89
What is 915589 to the power of 1/7, to the nearest integer?
7
What is the square root of 8643505 to the nearest integer?
2940
What is the square root of 16031242 to the nearest integer?
4004
What is the square root of 100886 to the nearest integer?
318
What is the third root of 530744 to the nearest integer?
81
What is the seventh root of 4546376 to the nearest integer?
9
What is 1115669 to the power of 1/10, to the nearest integer?
4
What is the sixth root of 5839940 to the nearest integer?
13
What is 3044605 to the power of 1/2, to the nearest integer?
1745
What is the square root of 17657796 to the nearest integer?
4202
What is the square root of 18521100 to the nearest integer?
4304
What is the square root of 23283 to the nearest integer?
153
What is 7278960 to the power of 1/2, to the nearest integer?
2698
What is the ninth root of 217370 to the nearest integer?
4
What is the cube root of 2995931 to the nearest integer?
144
What is 2243833 to the power of 1/2, to the nearest integer?
1498
What is the tenth root of 10520965 to the nearest integer?
5
What is the square root of 937837 to the nearest integer?
968
What is the sixth root of 13990732 to the nearest integer?
16
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
Multiply 3 and -0.71.
-2.13
Multiply 0 and 100.
0
What is -0.3 times 0.072?
-0.0216
Calculate 4073*3.
12219
Calculate -21*-11.
231
-0.1 * 0.769
-0.0769
-0.13 * 20.2
-2.626
-0.4*-30.35
12.14
What is 205 times 0.1?
20.5
Calculate 148*-0.1.
-14.8
Multiply -5 and 73.
-365
-0.3 times 730
-219
Product of -0.5 and 6.5.
-3.25
What is 0.354 times 1?
0.354
-104 times -1.8
187.2
Multiply 4 and 116.
464
Product of -7059 and -0.4.
2823.6
What is 0.1 times 122?
12.2
0.055*-55
-3.025
Work out -0.5 * 0.005.
-0.0025
Calculate 3.3*-13.
-42.9
Multiply -5.8 and 0.4.
-2.32
Work out -4.5 * 0.
0
Product of 7.93 and 0.4.
3.172
Work out 0.05 * -230.
-11.5
Multiply 0.14 and -39.
-5.46
Product of 0.5 and 320.
160
What is -0.2 times 99?
-19.8
What is -15285 times 0.1?
-1528.5
Work out 107 * 102.
10914
Calculate 2.9411*0.1.
0.29411
1855 times 0.1
185.5
-2.7*-4.6
12.42
-0.4*0.063
-0.0252
Calculate -13425*-4.
53700
-1 * -4103
4103
Product of 2.4 and 11.
26.4
Product of 543 and -0.7.
-380.1
Calculate 0.5*-0.019.
-0.0095
23 times 392
9016
-0.3768*-2
0.7536
What is the product of 12.6 and 2.1?
26.46
What is the product of 206 and 0.2?
41.2
Work out 4 * 1.8.
7.2
-26.097 * -0.5
13.0485
Multiply -1202 and -3.
3606
Product of -4 and 2.359.
-9.436
What is the product of 168 and -0.7?
-117.6
Product of 0.06 and 99.3.
5.958
Multiply 0.74 and -4.
-2.96
4 * -2.61
-10.44
Work out 0.02 * -134.
-2.68
Calculate -2113*2.
-4226
Calculate -1.1*-134.
147.4
Product of 6 and 73.
438
Work out 19 * 3.3.
62.7
-5*-2133
10665
-0.0553 * -1
0.0553
12 * 17.5
210
What is the product of -2.5 and 15?
-37.5
What is the product of -0.4 and 123?
-49.2
Product of -0.3 and 26.58.
-7.974
Work out 0.4 * -51.
-20.4
What is the product of 0.1589 and 5?
0.7945
6 * 0.114
0.684
1*1.8
1.8
Calculate 0.841*0.06.
0.05046
3*119
357
What is the product of 2.3 and 6?
13.8
What is the product of 883 and -3?
-2649
0.2 * -1826
-365.2
-35*-351
12285
Multiply -0.5 and 18.
-9
270 * 2
540
-0.3 * -30
9
What is the product of 0.38 and 34?
12.92
-18 times -0.75
13.5
0.0691 * 1.4
0.09674
-0.2 * -11
2.2
Calculate 5*-0.22.
-1.1
Multiply 22.9 and 0.1.
2.29
What is 5 times -4545?
-22725
Work out 0.1 * -0.412.
-0.0412
-43.7 times -0.6
26.22
Multiply -0.2 and -15.
3
What is the product of -20 and 59?
-1180
What is the product of 0.6362 and -0.2?
-0.12724
-0.1 times 3.3
-0.33
3.51 * -2
-7.02
Product of -10824 and -2.
21648
0.2*-2.9
-0.58
38 * 1.1
41.8
-2 times -1.6
3.2
Multiply 2.63 and -0.5.
-1.315
What is the product of -0.03 and -439?
13.17
What is the product of -0.3578 and -5?
1.789
Multiply -1565 and -6.
9390
Calculate 5*833.
4165
Work out -3 * 6.3.
-18.9
30.5 * 1
30.5
What is the product of 0.5 and -983?
-491.5
0.8*0.114
0.0912
Calculate 0.1*-1.49.
-0.149
Product of 6 and 0.28.
1.68
-0.09 times -0.4
0.036
-0.962*-2
1.924
Work out 0.2 * 428.
85.6
What is -12 times 85?
-1020
Calculate 1.3*58.
75.4
7.7 times 8
61.6
Product of 31 and 16.
496
What is 0.4 times 64?
25.6
Multiply -24 and -0.1.
2.4
Work out 0.035 * -0.1.
-0.0035
Product of 169 and 0.12.
20.28
14200 * -0.4
-5680
-1843 times -4
7372
What is -0.3 times -2.45?
0.735
662 times -12
-7944
Multiply -0.2 and -47.
9.4
What is -0.038 times -125?
4.75
What is the product of 0.34 and -84?
-28.56
Work out 0.19 * -0.0231.
-0.004389
What is the product of -16 and 4?
-64
What is 4 times -2.06?
-8.24
Multiply 1 and -4.45.
-4.45
Product of -0.1 and -3.59.
0.359
-425 times -26
11050
Multiply -2.75 and -0.1.
0.275
Product of 84 and -0.076.
-6.384
Calculate -0.079*-0.02.
0.00158
-28*6.32
-176.96
Multiply -0.3 and -89.
26.7
Work out -1 * 21.
-21
Multiply 17 and 140.
2380
What is -0.277 times -2?
0.554
Work out -24.7 * 0.
0
Multiply 2.08 and -0.13.
-0.2704
Multiply -4.7 and 42.
-197.4
Multiply -0.1 and -678.
67.8
-260 times -0.2
52
-0.5 times -12.5
6.25
What is 38 times -1.3?
-49.4
1292 * -2
-2584
-0.17 * -0.1
0.017
0.89 * 3
2.67
Work out -0.2 * 713.4.
-142.68
Calculate 0.21*-824.
-173.04
-0.4 times 13.7
-5.48
Calculate -108*2.
-216
Calculate -0.02*563.
-11.26
What is the product of 8 and -21?
-168
Product of -1.5 and -0.172
|
{
"pile_set_name": "DM Mathematics"
}
|
?
9
Suppose -5*o + 0 = 25, -3*o - 18 = -a. Suppose -a*x + 37 = -14. Suppose 59 = 5*i - 15*d - 41, -5*i = -d - 86. What is the greatest common factor of i and x?
17
Let w(r) = -r**3 + 33*r**2 - 26*r - 181. Let k be w(32). Let o be 44/k + (-2 - -49). Suppose -5*d = -1239 - 1056. What is the greatest common factor of d and o?
51
Let u be (-10*2/(-3))/((-64791)/2592 + 25). What is the highest common factor of u and 168?
24
Let n(p) = -11*p - 4. Let i be n(-4). Let q(w) = -w**2 - 2*w + 12. Let x be q(-4). Let o be (6/x)/(21/14) - -9. Calculate the highest common divisor of i and o.
10
Let d be (-34710)/(-35) + -32 - (18/(-14) + 1). Calculate the greatest common factor of d and 144.
48
Suppose 0 = -9*z + 2284 + 2693. Suppose -1046 = -13*x + z. Calculate the highest common divisor of x and 164.
41
Let m = -14652 - -15015. Let x = 44 + -8. Let d = -3 + x. What is the greatest common factor of m and d?
33
Let t(j) = 2*j**3 + 24*j**2 + 104*j + 280. Let c be t(-7). Suppose 2*w + 3*w = 2730. What is the highest common factor of w and c?
42
Suppose 6*z - 7*z = -60. Suppose 3*x = 2*g + 448, x + g = 19 + 132. Calculate the greatest common divisor of x and z.
30
Let q(b) = 8*b**3 - 36*b**2 + 12*b + 46. Let f be q(7). Calculate the highest common factor of f and 50.
10
Let v = 35 + -25. Let r = 16 - v. Let l(p) = -p**3 + 9*p**2 - 6*p - 13. Let s be l(8). What is the highest common divisor of r and s?
3
Let v(i) = -5*i + 8. Let s be (32 + -10)*(-1)/2. Let t be v(s). Let x = 20 - 13. Calculate the highest common factor of x and t.
7
Let k be 7 + -24 + 252 + 52. What is the greatest common factor of 371 and k?
7
Suppose p = -2*p - 105. Let i be 1317/21 + (-10)/p. Let k = i + -43. What is the greatest common divisor of k and 60?
20
Suppose 125*c = 123*c + 2. Let w(p) = 27*p**3 - 4*p**2 - p + 3. Let t be w(c). What is the highest common divisor of t and 25?
25
Suppose 47*x + 17*x - 6336 = 0. Suppose -1 = -g, 3*t - 2*g + 14 - 45 = 0. Calculate the greatest common factor of x and t.
11
Let a = -14681 + 14837. Let r(z) = -22*z + 7. Let d be r(-5). Calculate the greatest common factor of d and a.
39
Suppose 31*b = 42*b - 209. Suppose v - 5*w - 27 = 0, 5*v = 4*w - w + 157. Let q = v - b. What is the highest common factor of q and 143?
13
Suppose 5*s - 7*s - 28 = -2*n, 0 = 3*n + 3*s - 66. Suppose n*w = -w + 532. What is the greatest common factor of 308 and w?
28
Let f = 31 + 9. Suppose -2*k = f - 18. Let t be (-913)/k - (-2 + 7). Calculate the greatest common factor of 26 and t.
26
Let l be (-25)/(-4) + (-24)/96. Let x be (l/27)/(-4 + (-148)/(-36)). Let q = -48 + 70. Calculate the highest common divisor of x and q.
2
Suppose -5*w + 0*w + 25 = 5*j, 2*j = -3*w + 16. Suppose 26 = w*p + 2. Let s(m) = -12*m - 32. Let o be s(-8). What is the greatest common factor of o and p?
4
Suppose -44 = -5*m + 2*h - 0*h, 3*h + 14 = m. Suppose -m*r = -r - 840. What is the greatest common factor of r and 40?
40
Let c(o) = -o**3 - 30*o**2 - 142*o + 64. Let b be c(-24). Calculate the highest common factor of b and 5584.
16
Let o be 402/(2 - 0)*((-100)/10 + 27). What is the greatest common factor of 335 and o?
67
Let v = -3559 + 4343. What is the greatest common divisor of v and 280?
56
Let m be (-32)/3*(-4)/(160/30). Suppose 5*j = q + 24, -5*q - m = 2*j + j. Let l be (-2)/(-2*1) + 27. What is the highest common divisor of l and j?
4
Suppose -4*f - 15 = 41. Let v be (20 - f)*(4 - 2). What is the highest common factor of 340 and v?
68
Suppose 10*a + 0*a - 22919 = -31*a. What is the greatest common factor of a and 602?
43
Suppose -3*t + 73 = 2*l, 5*l - 134 + 14 = -5*t. Let v(q) = -99*q + 4. Let g be v(-4). What is the greatest common factor of g and t?
25
Suppose 681 = -g + 684. Let i be -4 + (6 - g) - -6. Suppose -4*f - 2 = -6. What is the greatest common factor of i and f?
1
Let j = 101 + -65. Let g be 208/(-20)*(-1470)/637. What is the highest common divisor of g and j?
12
Let t(i) = -49*i + 165. Let l be t(3). Calculate the greatest common divisor of 657 and l.
9
Let k = 205 - 181. Suppose -29 = -i + 4*h, i + 0*i - 3*h = k. What is the greatest common divisor of 5 and i?
1
Suppose 6*u - 2*u + 60 = 0. Let i = 30 + u. Let x(a) = a**2 - 11*a - 20. Let h be x(i). What is the highest common divisor of 10 and h?
10
Let x(l) be the second derivative of -l**3/6 + 22*l**2 + 2*l. Suppose 2*r = -21 + 21. Let c be x(r). What is the highest common factor of c and 88?
44
Let l(w) = -w**2 - 89 + 5*w**2 + 6*w**2 + 147 - 1 - 5*w. Let k be l(11). Calculate the highest common divisor of k and 12.
12
Suppose -25*p - 137820 + 575220 = 0. What is the greatest common divisor of 24 and p?
24
Let r be (4 - 8)/(36/(-9099)) - -4. What is the highest common factor of r and 7?
7
Suppose 10*k - 484 = 396. Calculate the highest common factor of k and 3454.
22
Let b be (-5)/(-10) - 93/(-6). Calculate the greatest common divisor of 30784 and b.
16
Let p = -230 - -462. Let j be -1*(-15)/(-5)*-1 + 1. Let q be (0 - j) + -2 + 140/4. Calculate the greatest common factor of p and q.
29
Suppose 2*q - 1470 = -3*q + 5*n, -2*n + 862 = 3*q. Suppose -3*c + q = -25. Suppose -6433 = -181*j - 2632. Calculate the highest common factor of j and c.
21
Let o = -5621 - -5661. What is the highest common divisor of o and 23480?
40
Let u be (-1 - -1)/(0/10 - -1). Suppose 7*a + 168
|
{
"pile_set_name": "DM Mathematics"
}
|
er?
True
Suppose -x = x. Suppose p - 2 = -x*p. Is p*(-1)/2*-113 prime?
True
Let v(a) = 3*a**2 + 23*a - 6. Let p(z) = -z**2 - 12*z + 3. Let w(j) = 7*p(j) + 4*v(j). Is w(-6) prime?
False
Suppose 10 = f - y, -20 = -2*f - 4*y + 3*y. Suppose 3*p = f + 11. Is p a prime number?
True
Let m(k) = -k**2 + 6*k - 5. Let u be m(5). Suppose 0 = -2*n, u = 5*l + n + 4*n - 475. Is l a prime number?
False
Suppose -4*f + 2194 + 490 = 0. Is f a composite number?
True
Let v(a) = a**2 - a + 1. Let r(c) = c - 2. Let k be r(0). Let p be v(k). Let o = p - 0. Is o a prime number?
True
Let g(h) = h**2 - 3*h + 3. Let u be g(3). Suppose 4 - u = k. Let w(b) = 35*b**3 - b**2 - b + 1. Is w(k) a composite number?
True
Suppose 5*a - 177 = -12. Let p = -8 + a. Is p a prime number?
False
Let g(s) = s**3 - 4*s**2 + 3*s - 4. Let t be g(3). Let o(p) = p**3 + 4*p**2 - 2*p - 3. Let v be o(t). Suppose -v = -2*c + 23. Is c a composite number?
True
Let u(y) be the first derivative of -1/4*y**4 + 2*y + 1 + 7/3*y**3 + 9/2*y**2. Is u(8) a composite number?
True
Suppose 3*q - 322 = -r, 368 + 178 = 5*q + 4*r. Is q prime?
False
Let u = 0 + -1. Let z(f) = 79*f**2 + 4*f + 4. Let y(t) = -79*t**2 - 3*t - 3. Let g(h) = -5*y(h) - 4*z(h). Is g(u) a prime number?
True
Let q(g) = g**3 + 3*g + 53. Is q(0) a prime number?
True
Let g(s) = -s**2 - 26*s + 1. Is g(-11) composite?
True
Is (2 - 4) + (2 - -1) + 36 a prime number?
True
Let i be 2/(-4) - 81/(-18). Suppose -i*y + 6*y - 318 = 0. Is y composite?
True
Let h(q) = -q**2 + 2*q + 7. Let u be h(4). Let p = 36 + u. Is p prime?
False
Suppose 0 = 5*i - 0*i - 3235. Is i a prime number?
True
Let k be (48/28)/((-4)/(-42)). Suppose -g + k = 2*g. Is ((-68)/12)/((-1)/g) composite?
True
Let v = 11 - 6. Suppose d = 4*l - 0*l + 19, 4*l + 143 = v*d. Is d a prime number?
True
Suppose 2573 - 451 = 2*m. Is m composite?
False
Is -5*(-3)/(60/92) prime?
True
Let q = 32 + 59. Is q prime?
False
Suppose 0*o = -o + 4. Suppose -o*d - 21 = -169. Is d prime?
True
Let u be ((-6)/(-1) - 3) + 3. Suppose 249 = 3*g + 3*b, -2*b = g - u*g + 443. Is g a composite number?
True
Suppose 5*f = -0*f - 15. Is (1/f)/(2/(-1146)) composite?
False
Let v be (-11)/3 + 4/(-12). Is (1148/(-6))/(v/6) composite?
True
Let d(w) = w**2 + 11*w - 13. Let t be d(-10). Let u = t + 78. Is u a prime number?
False
Let h(p) be the third derivative of p**5/20 - 3*p**4/8 - 5*p**3/6 - p**2. Suppose 0 = -5*g - 9 + 49. Is h(g) prime?
False
Let l = -38 + 249. Is l composite?
False
Let c(w) = -w**2 - 8*w - 5. Let n = 0 - 5. Is c(n) a composite number?
True
Let o(u) = 3*u + 7. Let b(q) = 7*q + 15. Let i(x) = -2*b(x) + 5*o(x). Let r be i(-5). Suppose r = -2*v + 236 - 54. Is v a composite number?
True
Let p(c) = c - 9*c - 9 - c**3 - 2*c**2 - 6*c**2. Is p(-8) a composite number?
True
Is 2 - (-2 - 230) - 1 a prime number?
True
Let g(z) = -z**3 - 6*z**2 - 10*z - 7. Let m be (0 - 1) + 1 + 2. Let a be (-5 + (m - -1))*3. Is g(a) a composite number?
False
Suppose 0 = -2*t + t + 38. Is t prime?
False
Let m(i) = -4*i**3 + 3*i**2 - i - 3. Let u be m(3). Let l = 206 + u. Is l prime?
False
Let l(y) = y**3 + 11*y**2 - 8*y + 3. Is l(-9) a prime number?
False
Let u(o) = 21*o - 1. Let x be u(1). Suppose -i = -2*i - 4*g + 12, -2*i = -3*g + x. Is 77/4 + 1/i a prime number?
True
Let h = 2429 + -226. Is h a prime number?
True
Suppose 0*h - 4*n - 8 = 3*h, 0 = -h - 4*n - 16. Suppose -h*p - p = -1615. Is p a prime number?
False
Let i = -161 - -373. Is (i/(-8))/(2/(-4)) a composite number?
False
Let x be 1*(11 + 0 + -1). Suppose -4*i - i + x = 0. Suppose -79 = -i*m + 27. Is m composite?
False
Let r = 1410 - 661. Is r prime?
False
Suppose 0 = 3*v - 9, 42 = 4*z - 5*v - 435. Suppose -3*a = -228 - z. Let q = 202 - a. Is q prime?
False
Let r(s) = s + 8. Let p be r(-8). Let o = -107 - -171. Suppose -n - 3*c + 6 = p, -8*c + o = 4*n - 4*c. Is n composite?
True
Suppose 0 = -3*k - 5*z + 26, 4*z = 5*k + 3 + 3. Is 51 + -2 + 2 - k a composite number?
True
Let o = -878 - -2905. Is o prime?
True
Let y = 4524 + -1637. Is y a composite number?
False
Let d be 4/(-10) + (-27)/(-5). Suppose -5*p = -10*p + m + 174, -d*p - 4*m = -179. Is p a composite number?
True
Let t be (-2)/7 + (-2580)/(-14). Suppose -2*l + 4*j + 126 = 0, 0*l - 5*j - t = -3*l. Is l a composite number?
False
Let f be 355/(-1) + (0 - -4). Let k = f + 692. Is k prime?
False
Let n be (-932)/(-16)*4*1. Let j = n + 36. Is j a composite number?
False
Suppose 2152 = 3*q + q + 3*i, 5*q - 2713 = 2*i. Is q prime?
True
Let g be 2/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
the remainder when 5439 is divided by 27.
12
Calculate the remainder when 682 is divided by 138.
130
What is the remainder when 624500 is divided by 8?
4
What is the remainder when 85474 is divided by 42735?
4
What is the remainder when 139928 is divided by 118?
98
What is the remainder when 16248 is divided by 4048?
56
Calculate the remainder when 5223 is divided by 2486.
251
What is the remainder when 1839 is divided by 337?
154
What is the remainder when 8683 is divided by 158?
151
What is the remainder when 8911 is divided by 1110?
31
Calculate the remainder when 27920 is divided by 490.
480
Calculate the remainder when 15814 is divided by 15082.
732
What is the remainder when 110941 is divided by 26?
25
What is the remainder when 4188249 is divided by 89?
87
What is the remainder when 1449 is divided by 120?
9
Calculate the remainder when 98089 is divided by 67.
1
What is the remainder when 126167 is divided by 185?
182
What is the remainder when 15423 is divided by 7708?
7
What is the remainder when 10214 is divided by 8?
6
What is the remainder when 64856 is divided by 50?
6
Calculate the remainder when 22615 is divided by 7.
5
Calculate the remainder when 756494 is divided by 469.
466
What is the remainder when 60211 is divided by 177?
31
Calculate the remainder when 160229 is divided by 53387.
68
Calculate the remainder when 19424 is divided by 647.
14
What is the remainder when 10110 is divided by 1062?
552
What is the remainder when 1748192 is divided by 655?
652
What is the remainder when 35193 is divided by 2068?
37
Calculate the remainder when 601 is divided by 582.
19
Calculate the remainder when 10831 is divided by 5405.
21
What is the remainder when 20049 is divided by 1512?
393
What is the remainder when 1228 is divided by 10?
8
What is the remainder when 44478 is divided by 265?
223
What is the remainder when 2366 is divided by 29?
17
Calculate the remainder when 1922 is divided by 685.
552
Calculate the remainder when 5168 is divided by 299.
85
What is the remainder when 147384 is divided by 510?
504
What is the remainder when 26147 is divided by 415?
2
What is the remainder when 2649 is divided by 285?
84
Calculate the remainder when 7061 is divided by 194.
77
What is the remainder when 195424 is divided by 42?
40
Calculate the remainder when 70614 is divided by 535.
529
Calculate the remainder when 212901 is divided by 4529.
38
Calculate the remainder when 8346 is divided by 156.
78
Calculate the remainder when 295979 is divided by 1783.
1
What is the remainder when 59126 is divided by 4212?
158
What is the remainder when 28320 is divided by 4024?
152
Calculate the remainder when 187356 is divided by 561.
543
What is the remainder when 9992 is divided by 137?
128
Calculate the remainder when 83313 is divided by 21.
6
Calculate the remainder when 100818 is divided by 335.
318
What is the remainder when 29929 is divided by 28?
25
What is the remainder when 1096294 is divided by 12?
10
Calculate the remainder when 17187 is divided by 71.
5
Calculate the remainder when 30792 is divided by 422.
408
What is the remainder when 5208 is divided by 33?
27
What is the remainder when 73654 is divided by 6133?
58
What is the remainder when 3107 is divided by 563?
292
What is the remainder when 42425 is divided by 9?
8
What is the remainder when 665 is divided by 47?
7
Calculate the remainder when 126591 is divided by 13.
10
What is the remainder when 8267 is divided by 169?
155
Calculate the remainder when 1632 is divided by 247.
150
Calculate the remainder when 31036 is divided by 469.
82
Calculate the remainder when 276651 is divided by 2912.
11
Calculate the remainder when 14154 is divided by 102.
78
What is the remainder when 9610 is divided by 7?
6
What is the remainder when 34296 is divided by 999?
330
Calculate the remainder when 60951 is divided by 242.
209
What is the remainder when 9290 is divided by 106?
68
Calculate the remainder when 1134416 is divided by 365.
361
What is the remainder when 132029 is divided by 7766?
7
What is the remainder when 41644 is divided by 20817?
10
What is the remainder when 3434 is divided by 686?
4
Calculate the remainder when 2876 is divided by 744.
644
What is the remainder when 23586 is divided by 12?
6
Calculate the remainder when 3601 is divided by 158.
125
Calculate the remainder when 27092 is divided by 48.
20
What is the remainder when 22810 is divided by 22?
18
Calculate the remainder when 65664 is divided by 65664.
0
Calculate the remainder when 1553 is divided by 197.
174
Calculate the remainder when 22528 is divided by 11263.
2
Calculate the remainder when 87998 is divided by 32.
30
Calculate the remainder when 13168 is divided by 13152.
16
What is the remainder when 58980 is divided by 19612?
144
Calculate the remainder when 3089 is divided by 171.
11
What is the remainder when 13563 is divided by 367?
351
What is the remainder when 129271 is divided by 218?
215
Calculate the remainder when 1310 is divided by 37.
15
What is the remainder when 19980 is divided by 3287?
258
What is the remainder when 5917 is divided by 320?
157
Calculate the remainder when 106504 is divided by 549.
547
What is the remainder when 751 is divided by 91?
23
What is the remainder when 338952 is divided by 67?
66
Calculate the remainder when 21603 is divided by 313.
6
What is the remainder when 34211 is divided by 104?
99
What is the remainder when 539 is divided by 120?
59
Calculate the remainder when 117 is divided by 13.
0
Calculate the remainder when 1984 is divided by 98.
24
Calculate the remainder when 29340 is divided by 699.
681
Calculate the remainder when 560 is divided by 29.
9
Calculate the remainder when 2201 is divided by 134.
57
Calculate the remainder when 1784 is divided by 956.
828
What is the remainder when 119948 is divided by 93?
71
Calculate the remainder when 232888 is divided by 166.
156
Calculate the remainder when 194401 is divided by 102.
91
What is the remainder when 5349 is divided by 270?
219
Calculate the remainder when 159 is divided by 41.
36
What is the remainder when 1332 is divided by 28?
16
What is the remainder when 13233 is divided by 13166?
67
What is the remainder when 48230 is divided by 641?
155
Calculate the remainder when 13126 is divided by 869.
91
What is the remainder when 334 is divided by 96?
46
What is the remainder when 102799 is divided by 25693?
27
Calculate the remainder when 2435 is divided by 38.
3
Calculate the remainder when 4262 is divided by 214.
196
What is the remainder when 6659 is divided by 51?
29
Calculate the remainder when 2810 is divided by 125.
60
What is the remainder when 659 is divided by 61?
49
What is the remainder when 7772 is divided by 72?
68
Calculate the remainder when 51661 is divided by 25791.
79
Calculate the remainder when 2159 is divided by 568.
455
What is the remainder when 831 is divided by 162?
21
What is the remainder when 236145 is divided by 17?
15
What is the remainder when 70353 is divided by 23447?
12
What is the remainder when 326406 is divided by 123?
87
Calculate the remainder when 20932 is divided by 121.
120
What is the remainder when 145410 is divided by 20770?
20
Calculate the remainder when 53681 is divided by 17891.
8
What is the remainder when 7329 is divided by 961?
602
Calculate the remainder when 2636824 is divided by 25.
24
What is the remainder when 15834 is divided by 37?
35
Calculate the remainder when 86035 is divided by 14329.
61
Calculate the remainder when 469053 is divided by 12.
9
What is the remainder when 828 is divided by 332?
164
What is the remainder when 2735 is divided by 41?
29
What is the remainder when 13153 is divided by 207?
112
Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) + 15*g(a).
3*a**2
Let i(z) = -2*z - 4. Let h be i(-3). Let f(s) = 4*s**2 - s - 5*s**2 + h*s**2. Let k(b) = 2*b**3 - 6*b**2 + 5*b + 1. Let r = -203 + 208. Give r*f(c) + k(c).
2*c**3 - c**2 + 1
Let f = -6 + 1. Let k(p) = -4*p. Let s be (36/42)/((-1)/7). Let x(j) = 3*j - 2 + 2. Calculate f*k(g) + s*x(g).
2*g
Let h = -38 - -58. Let w(n) = -24*n**3 - 20*n**2 + 20*n + 20. Let z(d) = -d**3 - d**2 + d + 1. Give h*z(p) - w(p).
4*p**3
Let u = 7 + -6. Suppose -u = y - 3. Let p(d) = d**2 + 2*d + 7. Let r(i) = -i - 3. Determine y*p(m) + 5*r(m).
2*m**2 - m - 1
Let y(q) = 10*q**2 + 10*q + 6. Let s(p) = -3*p**2 - 3*p - 2. What is -14*s(a) - 4*y(a)?
2*a**2 + 2*a + 4
Let i(q) = -12*q**3 + 3*q**2 - 3*q - 4. Let g(f) = 13*f**3 - 4*f**2 + 4*f + 5. Determine -3*g(b) - 4*i(b).
9*b**3 + 1
Let v(z) = -z + 2812 - 2812. Let s(o) = o**3 + 2*o**2 + 5*o - 1. What is -s(l) - 5*v(l)?
-l**3 - 2*l**2 + 1
Let p(y) = 2*y + 2. Let s(o) = 2*o + 2. Suppose 3 = -a - 0. Calculate a*s(j) + 2*p(j).
-2*j - 2
Let d = 0 + -3. Let l(r) = r + 1. Let m(s) = -2*s - 2. Suppose 2*h + 2 = -12. What is d*m(i) + h*l(i)?
-i - 1
Let z(r) = 3*r + 7. Let b(m) = -2*m - 8. Give -4*b(k) - 5*z(k).
-7*k - 3
Let d(o) = -2*o**2 - 3. Let r(q) = q**2 + 1. Calculate -d(p) - 3*r(p).
-p**2
Let k(o) = -2*o**2 + 12*o - 14. Let d(h) = -h + 1. Determine -12*d(t) - k(t).
2*t**2 + 2
Suppose 0 = 2*s + 3*s - 3*v - 8, 4*s + 2*v - 2 = 0. Let o(g) = -6 + 2*g**3 + 0 - 6*g**2 - 6*g - g. Let q(h) = h**2 + h + 1. Determine s*o(n) + 6*q(n).
2*n**3 - n
Let i(f) be the first derivative of -7*f**3/3 - f**2 - 1. Let u(x) = 2 + x**2 - 2. Suppose 4*v = -4*n - 4, -5*v - n - 2*n - 15 = 0. What is v*u(m) - i(m)?
m**2 + 2*m
Let k(v) = 10*v - 2. Let j(u) = -u + 1. Calculate 2*j(g) + k(g).
8*g
Let m(x) = 4*x**2 + 2*x + 4. Let l(z) = -2*z - 1. Let b(q) = q - 2. Let u be b(3). Let c be l(u). Let t(p) = 7*p**2 + 4*p + 7. What is c*t(g) + 5*m(g)?
-g**2 - 2*g - 1
Let j(p) = -p - 2. Let c(i) = 3*i + 6. Suppose -2*n = -3*r - 7, 0 = 2*r - 3*r + 3. Let x be 4/14 - 36/(-21). Suppose 12 = 2*k + x*k. Calculate k*c(b) + n*j(b).
b + 2
Let p(q) = -6*q + 4 + 4*q - 2*q - 3*q. Let l(i) = -6*i + 3. Determine 6*l(h) - 5*p(h).
-h - 2
Let p(n) = n**3 + n**2 - 1. Let d(s) = -2*s + 6*s**2 - 7 - 2*s**3 + 10*s**3 - 4*s**3. What is -d(i) + 6*p(i)?
2*i**3 + 2*i + 1
Let c(p) = -2*p**2 - 5*p - 8. Let o(b) = b + 1. Determine c(w) + 6*o(w).
-2*w**2 + w - 2
Let i(h) = h**3 + 4*h**2 - 4*h. Let t(v) = -5*v**2 + 5*v. What is 5*i(x) + 4*t(x)?
5*x**3
Let k be -8 + (-215)/(-25) + (-66)/10. Let p(n) = 11*n. Let b(w) = -65*w. What is k*b(g) - 35*p(g)?
5*g
Let x(r) = -r**2 - 6*r - 3. Let a be x(-6). Let k = 1 - a. Let z(q) = 2*q. Let n(o) = 1. Let d(j) = -j + 1. Let f(t) = -d(t) + n(t). What is k*f(w) - z(w)?
2*w
Let v(g) = 7*g**2. Let t = -16 + 7. Let i(p) = 15*p**2. Determine t*v(l) + 4*i(l).
-3*l**2
Let v(z) = -15*z**3 + 17*z**2 - 13*z. Let a(l) = 7*l**3 - 8*l**2 + 6*l. What is -13*a(c) - 6*v(c)?
-c**3 + 2*c**2
Let r(n) = n. Let i(p) = -3*p - 1. Calculate -i(j) - 5*r(j).
-2*j + 1
Let z(p) = p - 14. Let o be z(10). Let t be (o - -1)*4/(-6). Let w(y) = -2 - 2*y**2 - 3 + 4*y**t + 3*y**2. Let q(a) = -2*a**2 + 2. Calculate 11*q(k) + 4*w(k).
-2*k**2 + 2
Let s(h) = 2*h**3 + 6*h + 3. Let g(k) = 9*k - 33. Let r be g(3). Let m(p) = 2*p**3 + 7*p + 4. Determine r*m(u) + 7*s(u).
2*u**3 - 3
Let z(q) = 18*q**3 - 24*q**2. Let h(d) = -d**3 + d**2. Determine -15*h(n) - z(n).
-3*n**3 + 9*n**2
Suppose 5*o + c + 10 = 0, 0 = 5*o - 2*c + 38 - 13. Let g(a) = a + a + 4*a**
|
{
"pile_set_name": "DM Mathematics"
}
|
ind i, given that 27*i + 111/7*i**2 + 54/7 - 96/7*i**3 + 12/7*i**v = 0.
-1/2, 3, 6
Let f(r) be the first derivative of -3*r**4/28 - 13*r**3/7 - 51*r**2/7 + 144*r/7 - 644. Let f(z) = 0. What is z?
-8, -6, 1
Let k be ((-18)/63 + 5244/(-21))*1. Let g be 20/k*2*(-15)/12. Suppose -1/5*r**2 + 0 - g*r = 0. Calculate r.
-1, 0
What is a in 1146*a + 108*a**2 + 2155024 - 104*a**2 - 3065*a - 3953*a = 0?
734
Let q(n) be the second derivative of -n**5/80 - 11*n**4/16 - 105*n**3/8 - 675*n**2/8 + 101*n - 2. Solve q(s) = 0.
-15, -3
Find o such that -24*o**3 - 26*o**5 + 12*o**4 - 28*o**5 + 58*o**5 - 88*o**3 = 0.
-7, 0, 4
Let y be 371/(-35) + 12/20. Let c be 12/y*1425/(-456). Factor 5/4*m**2 + c*m + 5/2.
5*(m + 1)*(m + 2)/4
Let w(l) = 43*l + 19. Let s = -22 + 29. Let i be w(s). Factor 78*n - i - 5*n**2 - 61*n + 63*n.
-5*(n - 8)**2
Let z(x) = x. Let j(p) = -p**2 - p - 9. Let m be j(-3). Let w(g) = 3*g**3 - 18*g**2 + 12*g + 18. Let v(h) = m*z(h) + w(h). Factor v(i).
3*(i - 6)*(i - 1)*(i + 1)
Let q(f) = -9*f**4 + 26*f**3 + 90*f**2 - 2656*f - 11. Let y(i) = -5*i**4 + 12*i**3 + 45*i**2 - 1326*i - 6. Let n(z) = 6*q(z) - 11*y(z). Factor n(k).
k*(k - 6)*(k + 15)**2
Let m be 4/((-8)/(-10))*54/10. What is o in -45*o**4 + 16 + 32 + 158*o - 96*o**3 + m*o**5 - 14*o + 72*o**2 = 0?
-1, -2/3, 2
Let m be (-84)/(-4) - (-3 - (-20)/4). Determine n so that -14 + 3*n - 3*n**2 - m*n + n**2 = 0.
-7, -1
Let t(p) be the third derivative of p**6/780 - 79*p**5/65 + 6241*p**4/13 - 3944312*p**3/39 + 521*p**2 - 2. Factor t(v).
2*(v - 158)**3/13
Let u(k) be the third derivative of k**8/2800 - k**6/200 + k**5/100 + 22*k**3/3 + 9*k**2 - 5*k. Let t(d) be the first derivative of u(d). Factor t(p).
3*p*(p - 1)**2*(p + 2)/5
Let c be ((-4)/12 + 51/18)*2. Suppose -c + 11 = 2*x. Suppose 11 + 12*p**2 - 3 - x*p**3 + p**3 - 20*p - 4*p**4 + 6*p**3 = 0. What is p?
-2, 1
Let v be (259/(-14) + 18)*(0 + 0). Let p(y) be the second derivative of 0*y**2 + 1/6*y**6 + v + 0*y**5 - y + 0*y**3 - 5/12*y**4. Let p(c) = 0. What is c?
-1, 0, 1
Let y(q) = 265*q - 1587. Let j be y(6). Let m(t) be the first derivative of 4*t**2 - 12 + 4/3*t**j + 0*t. Factor m(p).
4*p*(p + 2)
Let d(t) = -16*t**2 - 70*t - 130. Let f(q) = -25*q**2 - 108*q - 195. Let h(j) = -14*d(j) + 9*f(j). Factor h(s).
-(s - 13)*(s + 5)
Solve -1/3*p**3 + 123008/3 - 4464*p - 80*p**2 = 0 for p.
-124, 8
Find g, given that 492*g + 26*g**2 - 10*g**2 + 2168 - 12*g**2 + 1512 = 0.
-115, -8
Let n(l) be the third derivative of l**6/1980 - l**5/165 + l**4/44 + 17*l**3/6 + 22*l**2. Let v(h) be the first derivative of n(h). Factor v(m).
2*(m - 3)*(m - 1)/11
Let f(q) be the third derivative of 0*q + 1/18*q**3 + 0 + 1/630*q**7 - 97*q**2 - 1/18*q**4 - 1/90*q**6 + 1/30*q**5. Determine o so that f(o) = 0.
1
Let a(u) be the second derivative of -u**6/240 + 7*u**5/32 - 67*u**4/96 + 11*u**3/16 - 4109*u. Let a(f) = 0. What is f?
0, 1, 33
Let p be 4/13 + 7392/15015. Suppose 1/5*a**4 - p*a**3 + 0 - 3/5*a**2 + 18/5*a = 0. Calculate a.
-2, 0, 3
Let k(d) = d**4 - d**3 - 2*d**2 - 2*d. Let t(w) = -58*w**4 - 647*w**3 - 1029*w**2 - 334*w + 100. Let h(a) = -3*k(a) - t(a). Let h(l) = 0. Calculate l.
-10, -1, 2/11
Let m(d) be the third derivative of d**6/120 + 43*d**5/60 + 77*d**4/3 + 490*d**3 + 840*d**2. Find t, given that m(t) = 0.
-15, -14
Let u = -5710 - -5714. Find q such that -16/3*q**2 - 77/6*q**3 - 2/3*q - 49/6*q**u + 0 = 0.
-1, -2/7, 0
Let r = -43 - -223. Factor 16*b**3 + 5544*b - 15*b**3 + 39945 + 5256*b + 176055 + r*b**2.
(b + 60)**3
Factor 800/3 - 544*k + 1264/3*k**2 - 2/3*k**5 - 448/3*k**3 + 22*k**4.
-2*(k - 25)*(k - 2)**4/3
Let n(s) be the third derivative of s**6/120 - 13*s**5/60 + 13*s**4/12 + 20*s**3/3 + 1876*s**2. Factor n(x).
(x - 10)*(x - 4)*(x + 1)
Let d be 1 - (30/6 + -6). Let w(v) be the third derivative of d*v**3 + 0*v - 1/20*v**5 - 3/8*v**4 + 0 - 18*v**2. Factor w(c).
-3*(c - 1)*(c + 4)
Suppose 62*v - 53*v - 27 = 0. Let w(p) be the third derivative of 0 - 19*p**2 + 0*p + 0
|
{
"pile_set_name": "DM Mathematics"
}
|
3 (e) -5
c
Which is the nearest to 2/37? (a) 0 (b) -4 (c) 30/7 (d) 1/3 (e) 0.3
a
What is the closest to -231 in -5, 4/3, 11, 5, -1?
-5
Which is the closest to 0? (a) -6/19 (b) 4.22 (c) 1/4
c
What is the closest to -0.3 in -3, -0.1, 0.1, -1273, -1/6?
-1/6
Which is the nearest to -0.1? (a) -2/3 (b) 2/11 (c) 1.47 (d) -0.1
d
What is the closest to -1 in 0.8, -0.1, -21, -227?
-0.1
Which is the closest to 3/4? (a) 5/3 (b) -1 (c) 4 (d) 0.21
d
What is the nearest to 4/9 in -1.2, -73, -3/2?
-1.2
Which is the closest to -0.1? (a) -4 (b) 2 (c) 0.2 (d) 0.1 (e) -101
d
Which is the nearest to 6? (a) -2/45 (b) -0.023 (c) 0.4 (d) 3/2
d
Which is the nearest to 113? (a) 1 (b) 4 (c) -4
b
Which is the closest to -1? (a) -0.7 (b) -51718 (c) -2/11
a
Which is the nearest to 4? (a) -2 (b) 9 (c) 8
c
Which is the closest to -2/3? (a) -14 (b) -2 (c) -4 (d) 0.8
b
Which is the nearest to 122? (a) 1/2 (b) -0.09 (c) -7.4
a
What is the closest to 0 in -55/4, 13/6, 1.5, 0.1, -3?
0.1
What is the nearest to -2/5 in 4, -1/7, -63?
-1/7
Which is the closest to -0.1? (a) 3 (b) 5 (c) 0.2 (d) -0.458
c
Which is the nearest to -5? (a) -0.4 (b) -0.5 (c) 18/19 (d) -6 (e) -2
d
Which is the nearest to 1.0244? (a) -5 (b) -2/59 (c) -0.4
b
What is the closest to -3 in 2/11, 8, -5, -1/2?
-5
What is the nearest to 1/3 in 0.1, 114, 0.3, 1/2, 0.06?
0.3
What is the closest to -1 in -4/7, -8, -4/9, 713, 1?
-4/7
What is the closest to 2/3 in 3/5, -2, -0.006, -5, -3?
3/5
What is the nearest to -1.1 in 0.4, -0.122, -1, -1.8?
-1
What is the nearest to 10 in 2, 113, 3, 1/8, -0.3?
3
Which is the closest to -2/45? (a) 2/33 (b) 2 (c) 28/9
a
What is the nearest to -0.46 in 0.12, 1, -87?
0.12
What is the closest to -1/6 in 0.634, 4, 0, 2?
0
What is the closest to 0.11 in 195, -0.2, -4?
-0.2
What is the nearest to 1/2 in 32, -2538, 0.1?
0.1
What is the closest to -4 in 2/9, -2, 148, 31?
-2
What is the nearest to 1 in -3/7, -5, 28, -0.7?
-3/7
Which is the nearest to -0.2? (a) -4/5 (b) -2 (c) 6152 (d) 3
a
Which is the nearest to 12/17? (a) -16.5 (b) -1 (c) 1 (d) -0.3
c
Which is the nearest to 0.1? (a) -22/17 (b) -2/15 (c) 17 (d) 6
b
Which is the nearest to 1? (a) 1.9 (b) -0.01 (c) 1 (d) -29 (e) 2
c
What is the closest to -1 in -4, -5, 12, 0.01, -3/5?
-3/5
What is the closest to 9 in 0.4, 0.2, 0.1, 294?
0.4
Which is the closest to 609? (a) -2/7 (b) 6/37 (c) 0.05
b
What is the closest to -0.015 in 3, -2/9, -24, -6?
-2/9
What is the closest to -9 in -2/19, 1, 0.03, 7?
-2/19
What is the closest to -3 in -0.1, 121, 0.07, -4, 1/13?
-4
What is the nearest to 0.5 in -2, 2/7, -2/5, 1700?
2/7
Which is the nearest to -0.1? (a) 2/9 (b) 0.3 (c) 10/9 (d) 0.04 (e) 4
d
What is the nearest to 82 in 1, 2/13, -0.3, 5/4, 2/23?
5/4
What is the nearest to 0.3 in 201, 0.5, -0.2, 1?
0.5
What is the closest to 3 in -0.5, -0.4, 7577?
-0.4
Which is the nearest to -1? (a) -5 (b) 6634 (c) -11
a
What is the closest to 16636 in 0, -4, -0.3?
0
What is the closest to 0 in -796, 1/3, -0.048?
-0.048
What is the closest to 0.01 in 4, 50, -1/9, 3/4?
-1/9
What is the nearest to 62 in -2, -67, 1?
1
What is the closest to 8 in -5, 6, -35?
6
What is the nearest to 125 in -5, 2, 0.3, -14?
2
Which is the closest to 0? (a) -3.4 (b) 0.3 (c) 1 (d) -0.1
d
Which is the closest to 6749? (a) 2 (b) -1/3 (c) 5
c
What is the nearest to 222 in -234, 3, 2/13, 2?
3
Which is the closest to -1/7? (a) -18 (b) -0.265 (c) 10
b
Which is the closest to -29? (a) -2/3 (b) 1/315 (c) -3
c
What is the nearest to 1 in 3, -2/5, -0.4304?
-2/5
What is the closest to 0 in 0, 2, 16551?
0
Which is the closest to 519? (a) -0.5 (b) 0.1 (c) 0.053
b
What is the nearest to 10 in -245, -0.2, -4/5, -5, 4?
4
What is the closest to 0 in 3, -1/425, -659?
-1/425
What is the nearest to -7243 in 0, -4, 4, -1/6?
-4
What is the closest to 0.1 in 19/32, 3/2, -1, 3/4?
19/32
What is the nearest to
|
{
"pile_set_name": "DM Mathematics"
}
|
et k = w - -42/155. What is the common denominator of k and 59/2?
4
Let u = 876307/63 + -13907. Let m = 34/9 - u. Let h = 4614 - 41576/9. Calculate the common denominator of h and m.
63
Let z = 366 - 255. Calculate the smallest common multiple of z and 5.
555
Suppose 0 = 4*z, -5*u + 5*z + 3 - 8 = 0. Find the common denominator of (-270)/42 + u/(-1) and 49/2.
14
Suppose 3*a - 2*y = 2*a - 1, a + 3 = 4*y. Let m be (-64)/(-26) - a - -1. Let h = -441/26 + m. What is the common denominator of h and 51/7?
14
Let t = 61 - 59. Let w = 8 + -5. Suppose -n + w = -5. What is the smallest common multiple of t and n?
8
What is the common denominator of (-3)/(-42)*75 + (-1)/(-1) and -25/168?
168
Let x be 10/70 + 27049/(-7). Let p = x + 38547/10. Find the common denominator of p and 63/16.
80
Let u = -1/2850 - -59/59850. Let g = 1283/525 + u. Calculate the common denominator of g and 71/4.
36
Suppose -4*v - t = -v - 238, -t = -5*v + 402. Calculate the smallest common multiple of v and 2.
80
Let u = 33 + -15. What is the lowest common multiple of 63*((-2)/(-6)*-4 + 2) and u?
126
Let a(m) = -1. Let n(s) = -s - 2. Let w(h) = -6*a(h) + n(h). Calculate the least common multiple of w(-7) and 4*2/(-3)*-3.
88
Let y = -13/7 - -131/14. Calculate the common denominator of -163/42 and y.
42
Let o = -48/5 - -869/90. Calculate the common denominator of 43/22 and o.
198
Let m = 4 - 6. Let h be (m + (-1)/(-3))*-3. Suppose 50 = 5*v + h*z, -2*v - 5*z + z = -16. What is the lowest common multiple of 8 and v?
24
Let m = 4538791 - 1366174233/301. Let x = 65/86 + m. Let n = 182/25 + -1987/400. Calculate the common denominator of n and x.
112
Suppose 0 = 5*p + 3*w - 501 - 114, -3*p = w - 373. Calculate the common denominator of 34 and (-12)/42 - (-680)/p.
9
Let g(u) = 259*u**3 + u. Let z be g(1). Let n = -1276/5 - -5469/20. Calculate the common denominator of n and z/(-32) + 1/(-4).
8
Let o = 3/347 + -14251/2776. Find the common denominator of o and -18/7.
56
Suppose -u - 2 + 14 = 0. Let q = -6 + u. What is the smallest common multiple of q and 4?
12
Let i(u) = -12*u**3 + u**2 - 3*u - 3. Let h(b) = 13*b**3 - b**2 + 4*b + 4. Let y(j) = 3*h(j) + 4*i(j). Calculate the lowest common multiple of y(-1) and 1.
10
Let q(p) = -p**3 + 11*p**2 + 10*p - 18. Let y be q(12). Calculate the common denominator of (9/96)/((-3)/y) and -77/12.
48
Suppose 0 = -5*z - 2*v + 40, 0*z = 2*z + 2*v - 16. Calculate the lowest common multiple of 20 and z.
40
Suppose -68 - 32 = 5*r. Let y = -9 - r. What is the lowest common multiple of y and 5?
55
Let f(j) = -4*j**2 + 6. Let c(l) = -7*l**2 + 11. Let y(s) = -3*c(s) + 5*f(s). Let u(z) = z. Let q be u(-3). Calculate the least common multiple of 8 and y(q).
24
Let m = -159233/18 + 8841. What is the common denominator of m and -115/6?
18
Suppose -14*p + 10 = -13*p. Calculate the least common multiple of 4 and p.
20
Let a be -2 - (-7)/((-7)/(-24)). Suppose 0 = -4*j + a + 2. Let l(k) = -11*k**3 + k**2. What is the smallest common multiple of j and l(-1)?
12
Let g = 1395285/64 - 21800. What is the common denominator of g and -65/8?
64
Let p(t) be the third derivative of -t**4/6 + 5*t**3/6 - 2*t**2. What is the common denominator of -29/11 and p(-4)?
11
Let t = -5 + -15. Let o = 34 + -24. Calculate the least common multiple of ((-2)/5)/(2/t) and o.
20
Let s be (-4)/(-6) - 4792/(-3). Suppose -y + 3683 = 5*g, g - 9381 = -3*y + s. Let x = y - 80495/22. Calculate the common denominator of -23/20 and x.
220
Suppose -5*s = 11 - 61. Calculate the least common multiple of 10 and s.
10
Let x(p) be the second derivative of p**5/20 - 5*p**4/6 + 3*p**3/2 + 6*p**2 + 2*p. Calculate the lowest common multiple of (-4)/16 - (-146)/8 and x(9).
36
Let r = -18 - -31. Let n = r - 9. What is the lowest common multiple of n and 1?
4
Calculate the lowest common multiple of 0 + -1 + (-5)/((-20)/36) and 6.
24
Suppose -2*s - d + 23 = 0, 2*s - 4*s = 3*d - 29. Let p(q) = -9*q. Let o = 2 + -4. Calculate the lowest common multiple of s and p(o).
90
Let h = -23 + -7. Find the common denominator of (-4)/(-10) + h/4 and ((-3)/35)/((-4)/190).
70
Let f(d) = -d**2 + 2*d - 6. Calculate the common denominator of f(6) and 8/11.
11
Let z(p) = 2693*p**3 - p**2 + 1. Let s be z(1). Let g = s - 37717/14. Calculate the common denominator of g and 99/(-8) + 1/4.
56
Suppose 0 = 5*c - 5, -p - 2*c = -0*c + 105. Calculate the common denominator of -4 + p*3/(-108) and 31/4.
36
Let o be 3/4 + 1/4. Let f be o/(-3) - 5149/(-3). Let n = f - 37783/22. Find the common denominator of n and -113/10.
110
Suppose -12*b + 36 = -3*b. Calculate the smallest common multiple of 62 and b.
124
Find the common denominator of (3 + 153/(-12))/((-45)/7) and 69/2.
60
Let w(v) = -2*v**2 + 18*v + 23. What is the least common multiple of 8 and w(10)?
24
Let p = -11 - -15. What is the smallest common multiple of p and 18?
36
Let u(g) = -3*g - 1. Let w be u(-2). Suppose -28 = -w*q + 3*y, -3*q - 2*q + 4*y = -24. Let f(v) = -2*v + 8. What is the least common multiple of q and f(0)?
8
Let a(y) = -4*y + 1. Let w be a(-1). Let u(j) = 5*j - 3. Calculate the least common multiple of 22 and u(w).
22
Let j be (2546/(-21))/(72/105). Let w = j + 1/180. Let g = w + 174. Calculate the common
|
{
"pile_set_name": "DM Mathematics"
}
|
23 composite?
True
Is 46469988611 prime?
True
Is 8886965669 a composite number?
False
Is 1084443793 composite?
True
Is 560904859 a composite number?
False
Is 185092223 composite?
False
Is 4124008321 prime?
False
Is 1320843059 a composite number?
False
Is 12739265603 prime?
False
Is 33836820097 a prime number?
False
Is 371377157 a composite number?
True
Is 82763849573 a prime number?
True
Is 6349978469 a prime number?
False
Is 688149917417 prime?
True
Is 12453743611 prime?
True
Is 755785769 a prime number?
True
Is 798532871 a composite number?
False
Is 1275503653 composite?
False
Is 6853663573 prime?
False
Is 345775639 a composite number?
True
Is 32290699559 a composite number?
True
Is 709533919 prime?
False
Is 2283830891 composite?
True
Is 3708560837 a composite number?
False
Is 13764631493 prime?
True
Is 4850429887 a composite number?
True
Is 39478327703 a prime number?
True
Is 460724497 a prime number?
False
Is 31245268449 a prime number?
False
Is 16004508727 a prime number?
True
Is 2285014057 composite?
True
Is 1264862663 prime?
False
Is 3672154997 a prime number?
False
Is 9657881491 prime?
True
Is 594356723 prime?
False
Is 59311507 a composite number?
False
Is 1119138299 a composite number?
False
Is 1810453243 prime?
True
Is 742184637 a prime number?
False
Is 19211651197 prime?
False
Is 20152329151 prime?
False
Is 575167315 a composite number?
True
Is 496781033 a composite number?
True
Is 8507707631 composite?
True
Is 30537167273 a prime number?
True
Is 11193475229 a prime number?
False
Is 17768909062 prime?
False
Is 2344210181 prime?
False
Is 6278381269 a composite number?
False
Is 10973572069 a composite number?
True
Is 61668989 prime?
True
Is 849048701 a prime number?
True
Is 50506036771 a prime number?
True
Is 270631453 composite?
False
Is 3722422019 a prime number?
False
Is 161911457 a prime number?
False
Is 5639117681 prime?
True
Is 1014628907 prime?
True
Is 117291098807 a composite number?
True
Is 4835880173 a composite number?
False
Is 632210321 prime?
True
Is 12092543 a prime number?
True
Is 5356654267 a composite number?
False
Is 51781120331 a prime number?
True
Is 53768219 composite?
True
Is 6109017037 a composite number?
True
Is 304490265629 a composite number?
True
Is 206105357 a prime number?
True
Is 1967593951 a prime number?
False
Is 946801997 a prime number?
False
Is 718817819 a prime number?
True
Is 4657920401 a composite number?
False
Is 48177402359 prime?
True
Is 91063901 composite?
False
Is 2210177 composite?
True
Is 978658433 a composite number?
True
Is 12409290445 a prime number?
False
Is 289319537 composite?
True
Is 494995103 prime?
False
Is 259049783 a composite number?
False
Is 105937490723 composite?
True
Is 9403238689 prime?
False
Is 384044987 composite?
False
Is 1913158407 a composite number?
True
Is 3025671833 prime?
True
Is 1388626957 a prime number?
True
Is 815923421 a prime number?
True
Is 1304755699 a prime number?
False
Is 1218148619 a composite number?
False
Is 24015496259 a prime number?
False
Is 47613859 a composite number?
True
Is 555692509 prime?
True
Is 671149753 a prime number?
False
Is 6759854773 composite?
True
Is 8172295057 composite?
True
Is 324781042831 a prime number?
False
Is 295794581 a composite number?
False
Is 15509164709 a prime number?
True
Is 1265029151 prime?
False
Is 2226461693 prime?
True
Is 11067749591 prime?
False
Is 8883243403 prime?
True
Is 739623439 prime?
True
Is 20235981239 prime?
False
Is 2839676563 prime?
False
Is 26221988017 a composite number?
False
Is 2999281427 prime?
True
Is 1736071927 a prime number?
True
Is 284359013 a prime number?
True
Is 1084969981 prime?
False
Is 9007889041 a prime number?
True
Is 116291884499 a prime number?
False
Is 5009783159 a prime number?
False
Is 1776254171 composite?
True
Is 1106328149 prime?
True
Is 205651876061 composite?
False
Is 5318011453 a prime number?
True
Is 21870305003 composite?
False
Is 11833153109 a composite number?
False
Is 405390331 a composite number?
True
Is 1582853383 composite?
False
Is 230683669 composite?
False
Is 7344842689 a composite number?
True
Is 57720839 prime?
False
Is 12348086533 a composite number?
True
Is 3163497367 a composite number?
False
Is 4424960909 a composite number?
False
Is 1117692533 a composite number?
False
Is 19365986399 a composite number?
False
Is 9760123937 prime?
True
Is 773333518 composite?
True
Is 2347003889 a composite number?
True
Is 9504209903 a composite number?
False
Is 18906059773 prime?
True
Is 2085941579 prime?
True
Is 58964447 a composite number?
False
Is 179240717 a composite number?
False
Is 261831341 composite?
False
Is 310470197 prime?
True
Is 875136433 a prime number?
False
Is 42925981369 composite?
True
Is 21638719 a prime number?
True
Is 20359884001 composite?
False
Is 6208258669 prime?
True
Is 35784533399 a composite number?
False
Is 1306699517 prime?
True
Is 16367168893 a composite number?
False
Is 214880621 a prime number?
False
Is 799049347 composite?
True
Is 35866977767 a composite number?
False
Is 2081157409 a prime number?
True
Is 20617589 a composite number?
True
Is 585303013 a prime number?
False
Is 97680409027 a composite number?
True
Is 124748713893 a prime number?
False
Is 17607165751 prime?
False
Is 9407460373 a composite number?
True
Is 8759447971 prime?
True
Is 1015836271 prime?
False
Is 2532362587 a prime number?
True
Is 1313662711 a composite number?
False
Is 3306662747 composite?
False
Is 85302553597 a prime number?
True
Is 51420516787 a composite number?
True
Is 9092850769 a composite number?
False
Is 701265641 a prime number?
False
Is 178232111 a prime number?
False
Is 14149290319 a prime number?
False
Is 21221509739 composite?
False
Is 7748957743 a prime number?
True
Is 10064620493 a prime number?
True
Is 501090139 composite?
True
Is 6275134447 a composite number?
True
Is 2554190269 a composite number?
False
Is 506828639 composite?
False
Is 12549388987 prime?
True
Is 2323607393 prime?
True
Is 78459203689 prime?
False
Is 14390689249 a prime number?
False
Is 25663128
|
{
"pile_set_name": "DM Mathematics"
}
|
, -3, -7, -13
Sort 1/4, -4, 4, 0, -0.6, -32 in ascending order.
-32, -4, -0.6, 0, 1/4, 4
Put 17, 0, 3, -3, 338491 in ascending order.
-3, 0, 3, 17, 338491
Put 4, 2, 1, -2, -1924853, 5 in decreasing order.
5, 4, 2, 1, -2, -1924853
Sort -5, 9, -7, -2, 11, -10, 1 in decreasing order.
11, 9, 1, -2, -5, -7, -10
Sort 10.4, 3/2, -328288 in descending order.
10.4, 3/2, -328288
Sort -4, 10, 0, 6, -1626, 1.
-1626, -4, 0, 1, 6, 10
Sort 0.1, 1/13, -4, 2349, -2, 0 in ascending order.
-4, -2, 0, 1/13, 0.1, 2349
Put -1, 1312/5, 2/11, -3, -3/7, 72 in ascending order.
-3, -1, -3/7, 2/11, 72, 1312/5
Sort -4, -14, -429272, -1.
-429272, -14, -4, -1
Sort 11, -2, 24, 42, 210.
-2, 11, 24, 42, 210
Sort 0, 84, 12, 3, -4, 4, -5 in ascending order.
-5, -4, 0, 3, 4, 12, 84
Put -8502, -23, 2, -74 in decreasing order.
2, -23, -74, -8502
Put 0.1, 399, 0.6, 22, -0.4 in decreasing order.
399, 22, 0.6, 0.1, -0.4
Sort 143, 1813, -72, -2 in decreasing order.
1813, 143, -2, -72
Put -444, 0.5, -3/7, 6477/14 in descending order.
6477/14, 0.5, -3/7, -444
Put 45, 4, 2/5, -0.43, -65 in descending order.
45, 4, 2/5, -0.43, -65
Put -12, 2, -3/7, 2774/141 in ascending order.
-12, -3/7, 2, 2774/141
Sort -10, -1063, 2/9, 2/5, -1/78 in ascending order.
-1063, -10, -1/78, 2/9, 2/5
Sort 1095, 0, 728, 4, -2.
-2, 0, 4, 728, 1095
Sort 45.096, -221, 4/7 in descending order.
45.096, 4/7, -221
Put 2, 1, -60, -1247, -3 in descending order.
2, 1, -3, -60, -1247
Sort 1, -44, -21733, 3 in descending order.
3, 1, -44, -21733
Sort 9/2, 1478, 0.225, 25 in increasing order.
0.225, 9/2, 25, 1478
Put 5, 252, -4, 51, 0 in ascending order.
-4, 0, 5, 51, 252
Sort -1, -4, -2, 0, 5, 605 in descending order.
605, 5, 0, -1, -2, -4
Sort -2/3, 61.61, -265.
-265, -2/3, 61.61
Sort 16, -633.401, -0.5 in increasing order.
-633.401, -0.5, 16
Put -3, 3, -475, 77, -6, 0 in increasing order.
-475, -6, -3, 0, 3, 77
Sort -60, 28, 315, 2, -3, -5, 4 in increasing order.
-60, -5, -3, 2, 4, 28, 315
Put 4, 2/13, 1.9781881 in descending order.
4, 1.9781881, 2/13
Sort -1, -4, 2, 47, -45, -49 in decreasing order.
47, 2, -1, -4, -45, -49
Put -4, 2, 16399272 in increasing order.
-4, 2, 16399272
Sort 0.12, -6, -4, 23767.
-6, -4, 0.12, 23767
Put 1136.62605, -0.2, -1/11, 1/4 in descending order.
1136.62605, 1/4, -1/11, -0.2
Sort 5, 1/5, -4, 13, -324.3, 4, 1/4 in decreasing order.
13, 5, 4, 1/4, 1/5, -4, -324.3
Sort -3/8, -0.1, 66, -0.638 in decreasing order.
66, -0.1, -3/8, -0.638
Put 0, -73, -68, 1431 in increasing order.
-73, -68, 0, 1431
Sort -2, 4, -215, 22, 3 in descending order.
22, 4, 3, -2, -215
Sort 535, 28, -2981 in increasing order.
-2981, 28, 535
Sort 1/10, 282922, 0.5 in descending order.
282922, 0.5, 1/10
Sort -2, -7, 96809 in decreasing order.
96809, -2, -7
Sort -32, 74, -2, 3, 2, -4, 4 in decreasing order.
74, 4, 3, 2, -2, -4, -32
Sort 32, 10, -12568 in increasing order.
-12568, 10, 32
Sort -10, 5, 178, 6, -308.
-308, -10, 5, 6, 178
Sort -480, -214133, 4.
-214133, -480, 4
Sort 0, -4, 3, -2717, -1, 1/601 in ascending order.
-2717, -4, -1, 0, 1/601, 3
Sort 1/3, 17/25, 0.1, 5, 2/7, -507.
-507, 0.1, 2/7, 1/3, 17/25, 5
Sort 413/5, 0, -22267.
-22267, 0, 413/5
Put -0.02, -0.2, -216, 4, -4, 12 in ascending order.
-216, -4, -0.2, -0.02, 4, 12
Sort -5/3, 102, -1964 in increasing order.
-1964, -5/3, 102
Sort 48504, 2, -1, -33, -10.
-33, -10, -1, 2, 48504
Put 187, 40, 3, -118, 33 in increasing order.
-118, 3, 33, 40, 187
Put 4, -2, -5, 5, 2, 23, 2087 in decreasing order.
2087, 23, 5, 4, 2, -2, -5
Sort -1, 5, 2, -11, 3, -8, -3 in descending order.
5, 3, 2, -1, -3, -8, -11
Put -2/5, -0.29, -4/5, 0.4718 in ascending order.
-4/5, -2/5, -0.29, 0.4718
Sort -2, 22, -27/21632 in descending order.
22, -27/21632, -2
Put 1.2, 0.0538293, -0.3, 3 in increasing order.
-0.3, 0.0538293, 1.2, 3
Put 1, 4, 141487, 10, -2 in increasing order.
-2, 1, 4, 10, 141487
Sort -9.98, -914, -0.5, 26 in descending order.
26, -0.5, -9.98, -914
Sort 44, 1826, -3, 14 in ascending order.
-3, 14, 44, 1826
Sort -11/4, -16, -14.1, -2, -3/4.
-16, -14.1, -11/4, -2, -3/4
Sort 15, 546, 4, 22 in increasing order
|
{
"pile_set_name": "DM Mathematics"
}
|
40*r**2
Let g(c) be the third derivative of 1/30*c**6 + 0 + 0*c**3 + 13*c**2 + 0*c + 0*c**4 + 1/6*c**5. Find the third derivative of g(q) wrt q.
24
Let a(p) be the second derivative of -53*p**5/5 + 55*p**3/6 - p**2 + 587*p. Find the second derivative of a(m) wrt m.
-1272*m
Let r(k) = 2*k - 24. Let s be r(10). Let w(d) = -1. Let p(o) = 13*o - 2. Let i(h) = s*w(h) + p(h). What is the first derivative of i(u) wrt u?
13
Let g(i) = -5*i**3 + 3*i**2 - 24*i. Let v(y) = -y**5 + 4*y**3 - 2*y**2 + 25*y. Let t(m) = -2*g(m) - 3*v(m). Find the second derivative of t(n) wrt n.
60*n**3 - 12*n
What is the derivative of -13*s**3 - 10 - 78 - 16*s**4 + 36*s**4 - 17*s**4 wrt s?
12*s**3 - 39*s**2
Let f(a) = 45*a**2 - 12*a + 15. Let u be f(-10). Find the third derivative of -8*r**5 - 12*r**5 + 4640*r**2 - u*r**2 wrt r.
-1200*r**2
Let f = 159 + 126. Find the third derivative of -52*m**2 - 285*m + f*m + 49*m**6 + 16*m**2 wrt m.
5880*m**3
Suppose 3*s + 6 = 12. What is the second derivative of 2*h - s*h**2 + 0*h**2 + 2*h**2 - 3*h**4 wrt h?
-36*h**2
What is the derivative of 114*z**4 - 33 - 8*z**4 + 16*z**4 - 4*z**2 + 4*z**2 wrt z?
488*z**3
Let v(o) = 0*o**2 + 1 - 2 - 3*o - o**3 + 0 - 2*o**2. Let h be v(-4). Find the third derivative of 4*l**2 - h*l + l**6 + 43*l wrt l.
120*l**3
Find the second derivative of -10 - 13 - 412*x**2 - 4*x + 14 - 22 wrt x.
-824
Let w(g) be the second derivative of 19*g**6/360 - g**4/2 + 29*g**3/6 - 2*g. Let i(b) be the second derivative of w(b). What is the derivative of i(c) wrt c?
38*c
Let n(u) be the third derivative of 0*u + 1/2*u**4 + 1/6*u**3 - 2*u**2 + 0. What is the first derivative of n(z) wrt z?
12
What is the second derivative of 41*o**3 - 92*o - 209*o - 90*o + 2*o**2 wrt o?
246*o + 4
Let j(a) = -a**3 - a**2 + a - 7. Let n be j(-3). Suppose -4 = -v - 0*v. Find the third derivative of v*l**2 - 2*l**2 - l**2 + n*l**3 - 19*l**3 wrt l.
-66
Let v(o) be the third derivative of o**7/6 - 13*o**5/60 + o**4/12 - 2*o**2 - 19. Find the third derivative of v(i) wrt i.
840*i
Let m(u) be the first derivative of 120*u**4 - 103*u + 263. Differentiate m(g) with respect to g.
1440*g**2
Find the third derivative of 15*j**2 - 75*j**2 + 11*j**2 + 5*j**4 + 76*j**4 - 84*j**2 wrt j.
1944*j
Let n(y) = y**3 - 3*y**2 - 4*y. Let t be n(3). Let f be 0 - 11/(22/t). What is the second derivative of -145 - k**3 - f*k + 145 wrt k?
-6*k
Find the second derivative of -6*y**2 + 36 - 36 - 130*y + 17*y**2 + 3*y**4 wrt y.
36*y**2 + 22
Let l(r) be the second derivative of -r**7/630 + r**6/80 + 7*r**4/12 + 10*r. Let y(v) be the third derivative of l(v). Find the second derivative of y(k) wrt k.
-8
Suppose -5*m + 205 = 3*i, -4*i + 222 = -2*m - 60. Differentiate 7 - 14 - 24*z - 3 + i*z with respect to z.
46
Differentiate -12107*y**3 - 6 + 11829*y**3 + 508 with respect to y.
-834*y**2
Let j(q) be the third derivative of 5*q**6/4 + q**5/30 - 13*q**3/2 - 32*q**2 - 2*q. Find the third derivative of j(l) wrt l.
900
Let i(t) = -56*t**3 + 106*t**2 + 5*t + 5. Let m(a) = -a**3 - a**2 - a - 1. Let b(w) = -2*i(w) - 10*m(w). What is the third derivative of b(f) wrt f?
732
Let y(b) = 41*b + 14. Let c(m) = m - 2. Let v(f) = -4*c(f) + 2*y(f). What is the derivative of v(o) wrt o?
78
Let h = 22 + -21. Let m be 9 + (-7 - -4 - h). What is the derivative of -m + 4*v**3 + 7*v**3 - 8*v**3 + 10 wrt v?
9*v**2
Let p(f) be the first derivative of 0*f**4 - 5 - 11*f**3 + 0*f**2 - 21/5*f**5 + 0*f. What is the third derivative of p(w) wrt w?
-504*w
Let m(d) be the first derivative of 385*d**6/6 + 2*d**5/5 + 210*d**3 + 222. Find the third derivative of m(w) wrt w.
23100*w**2 + 48*w
Let b(a) = -15*a + 266. Let f be b(17). Let j(h) be the first derivative of -10 - 11/2*h**2 + f*h. Find the first derivative of j(g) wrt g.
-11
Let n(g) be the second derivative of 209*g**5/10 - 149*g**4/4 + g + 120. What is the third derivative of n(p) wrt p?
2508
Let v be (1/(-2))/(7/(-42)). Suppose 4*q = -3*w + 2, -2 = -w - 3*q - v. Find the third derivative of 10 - 3*g**4 + g**2 + 4*g**w - 10 wrt g.
-72*g
Let b(f) = -25*f**3 + 53*f**2 + 661*f - 9. Let s(o) = 6*o**3 - 13*o**2 - 165*o + 2. Let i(m) = 2*b(m) + 9*s(m). What is the second derivative of i(v) wrt v?
24*v - 22
Let l = 56 - 53. Differentiate 183*q**2 - 183*q**2 + 4 - 4*q**l with respect to q.
-12*q**2
Let h(k) = -503*k**2 + 135*k - 4. Let x(g) = -506*g**2 + 134*g - 2. Let b(o) = -2*h(o) + 3*x(o). Find the second derivative of b(i) wrt i.
-1024
Suppose 4*u = -6 +
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose -3*p - 135 = -3*j + j, -4*p + 114 = 2*j. Let y = 120 + j. What is the tens digit of y?
8
Let j be -78 + ((-9)/(-3))/1. What is the units digit of (0 - j/(-12))*-12?
5
Suppose -2*n + 1 + 5 = 0. Suppose 3*p - 5*p - n*v + 145 = 0, 0 = -5*v + 5. Suppose -p = -3*g + 406. What is the hundreds digit of g?
1
Let j = -169 - -645. Suppose v - j + 183 = 0. What is the units digit of v?
3
Let z = 86732 - 56986. What is the thousands digit of z?
9
Let g be ((-18)/(-27))/(3/18). Suppose g*f - 646 = -3*q + 411, -f = q - 265. What is the tens digit of f?
6
Suppose -19 = 2*g + j, j - 8 = -g + 2*g. What is the units digit of (-1343)/g + 9 + 4/(-18)?
8
Suppose -336091 = -43*k + 258083. What is the hundreds digit of k?
8
Suppose 4*s - 8 = 0, 3*s = -g + 3 - 9. What is the hundreds digit of 170/68*g/(-10) + 412?
4
Let q = 4976 + -2702. Let v = q - 1295. What is the units digit of v?
9
Let a = 35497 + -11353. What is the hundreds digit of a?
1
Suppose 2*z + 5*v - 25620 = -4412, 0 = -4*z - 2*v + 42448. What is the hundreds digit of z?
6
Suppose -4*p + 39057 = h, -5*h - p + 107982 = -87322. What is the ten thousands digit of h?
3
What is the thousands digit of 565/((-18)/(11808/(-16)))?
3
Suppose 2*w = 5*t - 30163 - 55958, 0 = 2*t + 3*w - 34418. What is the ten thousands digit of t?
1
Let j(q) = -10*q + 2*q**2 - 373 - 436 + 673. What is the units digit of j(-8)?
2
Suppose 0 = 4*o + 19 + 9. Let c(k) = -k**2 - 8*k - 5. Let y be c(o). Suppose -y*w - w = -186. What is the tens digit of w?
6
Suppose 682 = -4*w + 3*f, 3*w + f - 678 = 7*w. What is the units digit of w/(-4) + (-33)/(-44)?
3
What is the tens digit of (2 + -3)/(19665412/(-1035021) + 19)?
1
Let o(z) = -22880*z - 2071. What is the tens digit of o(-1)?
0
Let d(p) be the second derivative of 8/3*p**3 + 0 + 3*p**2 - 9*p. What is the units digit of d(4)?
0
Let o = -321 - 821. What is the units digit of (-1 + o/4)/(456/(-1216))?
4
Let v(x) = 74*x**2 - 35*x + 306. What is the tens digit of v(8)?
6
Let k(a) = a**2 - 16*a + 51. Let b be k(12). Suppose 2*t + 529 = q, -1038 - 1646 = -5*q - b*t. What is the hundreds digit of q?
5
Let r be (-52)/390 + (0 - (-716)/(-30)). What is the tens digit of -4*1446/r + 5?
4
Let y be (-2)/(-10) + (72207/15 - -1). Let r = y + -3386. What is the tens digit of r?
2
Let f = 8889 - 3840. What is the units digit of f?
9
Let c(h) = 13*h - 74. Let k be c(7). Suppose -16394 + 2488 = -k*o. What is the units digit of o?
8
Suppose 0*w = 2*o + 4*w + 1064, 1064 = -2*o + w. Let a = o + 1004. What is the tens digit of a?
7
Suppose -3*f - 49 = 35. Suppose 3*u + d = 113, 2*u - 3*d = -7*d + 62. Let j = u + f. What is the tens digit of j?
1
Suppose 483 = 6*h - 9*h. Let r(t) = -29*t + 17. Let v be r(4). Let s = v - h. What is the tens digit of s?
6
Suppose 3*c + 2 = 5*k, c + c = -k + 16. Let i be 199 - 3*2/(-4)*(-300)/90. Suppose i = -4*f + c*f. What is the units digit of f?
7
Suppose -4*w = -2 - 14. Let c be 6/(-4) + (-6)/w. What is the tens digit of (c + -1 + -31)*-1?
3
Let y = -83 + 29. Let a be (y/45)/(1/(-10)). Suppose 3*m = -a + 195. What is the tens digit of m?
6
Suppose 2720 = -12*t + 32*t. Suppose h = 2*h - 2. Suppose 2*j - b + 5*b = t, -h*b = 3*j - 208. What is the units digit of j?
0
Suppose -4*j + 5*w + 5371 = 0, -5746 = -4*j - w - 393. Let u = -896 + j. Suppose 0 = 5*f - 20, -d - u = -4*d - 5*f. What is the tens digit of d?
4
Let v(x) = 10*x**2 + 43*x - 810. What is the units digit of v(46)?
8
Let d be 3/(21/25438) + -5. Suppose d = 4*x + 5*z, -5*x - 18*z = -16*z - 4549. What is the units digit of x?
1
Let p = 20302 - 16112. What is the thousands digit of p?
4
Suppose a - 8 = 3*f - 4, 2*a + 4*f + 32 = 0. What is the hundreds digit of (-2358)/(-4) + (-12)/a?
5
Let g = 19 - 28. Let j be g*(-4)/(-2) + 4. What is the tens digit of j*(3 - 9/2)?
2
Suppose 2*a = 4*k - 15738, k + 5*a - 3947 = 8*a. What is the tens digit of k?
3
Let i be (6/(-30))/(2/(-5))*-10. What is the units digit of 3/((25/(-685))/i)?
1
Suppose -3*o - 620 = 361. Let r = o + 1495. What is the hundreds digit of r?
1
Let r be (-2)/8 + 216/96. Suppose r*h - 176 = -3*n + 75, 3*h = 2*n - 150. What is the units digit of n?
1
Let v(p) = 14*p**2 + 13*p + 5. Let k be v(-2). Suppose 115 = k*f - 200. What is the units digit of f?
9
Let r = 63859 + -1979. What is the ten thousands digit of r?
6
Let r(n) = -275*n + 59. Let d be r(2). Let v = 880 + d. What is the hundreds digit of v?
3
Let c(z) = -29128*z + 1505. What is the thousands digit of c(-1)?
0
Let b(w) = -w**2 + 32*w - 59. Let g be b(29). Suppose 8*p = g*p - 10040. What is the hundreds digit of p?
5
Let d = 38310 + -20522. What is the tens digit of d?
8
What is the ten thousands digit of (4/10 + -11)*(-1885 + 0)?
1
Suppose 3*o = -4*h + 27, 5*h + 18 = 2*o + 2*h. What is the units digit of 3*(6702/18 - (4 - o))?
2
Let w = 615 + -619. Let n(v)
|
{
"pile_set_name": "DM Mathematics"
}
|
r: -1 or n?
n
Suppose -3*u - j = 31, -2*u - 45 = 2*u + 5*j. Let c be 3 - (-702)/(-91) - u/2. Is c less than -147?
False
Let n be (0/(-1 - 1))/(12/(-72)*-12). Which is bigger: n or -6/319?
n
Suppose 506 = 4*h + 4*g - 254, 930 = 5*h - 5*g. Which is smaller: h or 190?
h
Let w = -94730436/256921 - 1/36703. Let t = -565204/1533 - w. Is 0 greater than t?
False
Let n be (((-1176)/(-64))/3 - 6)*1*8. Do n and 2/13407 have different values?
True
Suppose 0 = -f - 0*f + 8. Let i(m) = -m**3 + m**2 + 5. Let q be i(0). Suppose 40 = 5*s - 5*u, -u = -q*s - 4 + 36. Which is bigger: s or f?
f
Suppose 1 - 117 = 3*l - 2*n, -5*n - 109 = 3*l. Suppose 59*i - 52*i + 232 = -5*m, -6*m + 107 = -i. Which is smaller: l or i?
i
Let f(c) be the third derivative of -c**5/60 - c**4/2 - 5*c**3 + 18*c**2. Let d be f(-5). Suppose l = -4, 0 = d*z + 4*l - 2 + 28. Is z smaller than 0?
True
Let d = 185 + -2589/14. Let n = 0.24 + 0.06. Is d <= n?
True
Let h be (13*(-236)/8)/(27/(-18)). Let c = 7769/30 - h. Is 2 at least as big as c?
False
Let p be ((-736)/(-40) + -4)/((-1)/5). Let t = p - -77. Let q be 318/(-14) - t/70*4. Is q smaller than -24?
False
Let z = -88 + 199. Suppose 20*m - 331 + z = 0. Let o be ((-13)/(-2) + -1)*2. Is o < m?
False
Suppose -12*y - 1492 - 8 = 0. Is -130 less than y?
True
Let c = -49729364008487/1121 + 44361605544. Let a = -3741 - c. Which is smaller: a or -1?
-1
Let x be ((-1)/(-2))/(2/46). Suppose -20*v + 13*v = -14. Suppose t - 32 = -t - v*n, 2*t = -n + 28. Which is greater: x or t?
t
Let r = -72.116 + 73.116. Let n = 450 + -14852/33. Do r and n have the same value?
False
Let u(s) = -s**3 + 49*s**2 - 15*s + 362. Let v be u(49). Is -372 != v?
True
Let x = 2551 + -2299. Are x and -21 non-equal?
True
Let s = 793569 + -1424884. Let b be (3/(-89))/(4 - s/(-157830)). Let k = b - -1064. Is -1 < k?
True
Let n = -2.2 + 1.2. Let v = -5.23 - 35.77. Is v at most n?
True
Let x = 15403.183 + -15419. Let q = x - -16. Is 0.1 at most q?
True
Let p(s) = -s**2 - 8*s + 9. Let m be p(-9). Suppose -4*r - 3*b = -23, m*r + 5*r + 4*b = 29. Let h be 2/r - -2*519/30. Which is smaller: h or 36?
h
Let x be (-211)/(-4)*(-109 - -97). Are x and -631 equal?
False
Let c = -21 - -15. Suppose -24 = -4*g + 4*n, -3*n - 14 = -2*g + g. Suppose 37*z = 35 + g. Is c < z?
True
Let c = -854 - -36726/43. Let w(h) = 3. Let i(f) = f**2 - f - 10. Let t(u) = 2*i(u) + 7*w(u). Let y be t(1). Is c equal to y?
False
Let n(i) = 9*i + 1. Let s(c) = c**3 - 11*c**2. Let w be s(11). Let z be n(w). Which is greater: 1/262 or z?
z
Let i be -7 + (2 - 0) - (1 + 24). Let j(m) = 2*m**2 + 58*m + 24. Let u be j(i). Is 83 at most as big as u?
True
Let t = -188 + 42. Let d = -145.8 - t. Is d at least as big as -16?
True
Let d(p) = -p**3 - 8*p**2 - 8*p - 4. Let a be d(-7). Let c(x) = -x**2 + 7*x - 13. Let v be c(a). Are v and -1/6 non-equal?
True
Let c = 4571 - 7229. Is c at most as big as -1?
True
Let v = -2.4 + 2.29. Let j = -92395 + 92394.8. Which is bigger: j or v?
v
Let g(a) = -a**3 - 8*a**2 + 23*a - 16. Let w be g(-11). Suppose y = -5*o - w, o = 4*o - 2*y + 46. Let u be (-3)/(-9)*o/(-24). Which is smaller: u or -5?
-5
Let v be 4*-37 - (-14 - -13). Let d be (-3 - v/7)*(1 - 0). Suppose q = 38 - d. Which is bigger: 22 or q?
22
Let a = -254 - -368. Let v = 17 - 8. Let i be (1/a)/(3/v). Which is greater: i or 0?
i
Let r = 1606.8 + -570.8. Which is bigger: r or -0.3?
r
Suppose 0*v - 10 = 5*v. Let i(w) be the second derivative of -5*w**3/6 + 20*w**2 - 22*w. Let k be i(8). Which is smaller: k or v?
v
Let o = 157/356 + -17/89. Which is greater: 513 or o?
513
Let c = -243 + 244.79. Let n = 1.81 - c. Which is greater: -10 or n?
n
Let m = 101.9 - 48. Let v = m - 53.8. Which is smaller: -67 or v?
-67
Let v = 1265/1098 + -5/122. Let h(f) = f**3 - 4*f**2 + 11*f - 23. Let t be h(3). Is v at most as big as t?
False
Let t = 2/2203 - 37455/4406. Let y = -89/10 - t. Which is bigger: -0.0208 or y?
-0.0208
Let l be (-56)/(-322) + (-28272)/(-368). Is 57 > l?
False
Let n be (6*(-9)/2124)/(3/(-4)). Let d = -65 + 68. Let v be -4 + 22/4 + d/(-6). Which is bigger: v or n?
v
Suppose 0 = 5*y + 3*t + 6856, -5472 = 4*y - 4*t - 0*t. Is y less than -1370?
False
Let v = 1/411 + -30008/2055. Let f = v - -16. Let u(g) = -7*g - 145. Let s be u(-21). Is f < s?
True
Let u be (16*1/2)/2. Let h(y) = 11*y**2 + 11*y + 22. Let n(c) = -2*c**2 - 2*c - 1. Let i(x) = h(x) + 6*n(x). Let p be i(u). Which is greater: -8 or p?
p
Let k
|
{
"pile_set_name": "DM Mathematics"
}
|
Solve 3*b - 4*h = -6, 6 = 34*b - 37*b - 4*h for b.
-2
Solve 0*j - 4*j - 2*b + 18 = 0, 0 = 5*j - 3*b - 6 for j.
3
Solve -1727 = 3*q + 5*d - 1733, 3*d - 26 = -5*q for q.
7
Solve -4*x = 5*v - 136 + 151, -3*x - v = 3 for x.
0
Solve -3*d = -t - 1305 + 1316, -44 = -4*t - 5*d for t.
11
Solve -3*z = r - 10, -9868*r + z - 2 = -9867*r for r.
1
Solve -10 = -5*g, -3*o + 2*g = 10*g - 9 - 34 for o.
9
Solve 979*v - 3*j - 132 = 967*v, 4*j + 16 = 0 for v.
10
Solve -2*z - 1120*h = -1116*h - 6, h = 2*z + 4 for z.
-1
Solve -4*r = 3*z - 7, r - 2122*z + 2109*z = -12 for r.
1
Solve u = -2*g - 15, g = -4*u - 7 - 25 for g.
-4
Solve -a - 8 = 192*h - 195*h, -3*a = -5*h + 16 for a.
-2
Solve b - 16 = -h, 1128*h + 4*b = 1132*h + 88 for h.
-3
Solve 2*u - 4*t - 9730 = -9742, 2*u - 12 = -2*t for u.
2
Solve 0 = y - 2*j - 3*j + 57, 29 = -5*y - 5*j + 104 for y.
3
Solve 7*q = -z + 43, -81*z = q - 84*z + 41 for q.
4
Solve 0 = -10*z + 14*z + 2 + 18, 0 = v + 2*z + 11 for v.
-1
Solve 31*d - 38*d = 2*n + 7, -d = -5*n + 38 for n.
7
Solve -3*h + 27 = -3*w, -5*h + 12*w + 12*w = -216 for h.
0
Solve w - 119 = -127, 3*w + 40 = -4*d for d.
-4
Solve 0 = -4*a - 9*b + 12*b - 31, 0 = -6*a - 5*b + 1 for a.
-4
Solve -46*i + 3*b = -43*i - 24, 0 = -5*i - 4*b + 58 for i.
10
Solve -5073 = -2*u + i - 5094, 5*u = i - 48 for u.
-9
Solve -4 = -4*o - 2*x, -23*x + 91 = -o + 2*o for o.
-1
Solve 2*j - 143 = 4*j - c - 139, -c + 4 = 105*j for j.
0
Solve 833*a = 836*a + 4*g - 40, 26 = 3*a + 2*g for a.
4
Solve -h - 5*b - 14 = 0, 3*h + 16777 = -5*b + 16765 for h.
1
Solve -3*u + 18 - 46 = 3*g - 10, 4*u - 4*g = 8 for u.
-2
Solve 0 = 5*k + r - 1880 + 1910, -4*r = -20 for k.
-7
Solve 0 = 2*h + c - 4240 + 4229, -3*h - 5*c = -27 for h.
4
Solve -9*g - 2*v = -31, 15*g - 19*g + 2*v + 8 = 0 for g.
3
Solve -3*p + a = -5, 91 = -p + 6*a + 104 for p.
1
Solve 4*k + 5*o + 40 = 0, -22*k = -18*k + 2*o + 28 for k.
-5
Solve 5*b = -4*g + 3, -g - b - 26 + 27 = 0 for g.
2
Solve 4 = -3*k - 2*u, -3*k + 3*u - 1535 = -1511 for k.
-4
Solve 5*f = -2*j + 3, -5*f - 22 + 30 = -3*j for f.
1
Solve 3*p = 3*l, -29*l + 25*l - 3 = -5*p for l.
3
Solve -n - 6 = -s, 3*s - n = 7*s + 16 for s.
-2
Solve -2*b + 9 = -5*s, b - 737 = -s - 736 for b.
2
Solve -m - 127*n + 131*n + 4 = m, -2*n - 10 = 0 for m.
-8
Solve 0 = -5*z - 371*y + 370*y + 23, -10 = -z - 2*y for z.
4
Solve -75 = -3*g - 148*i + 127*i, 3*g - 3*i + 21 = 0 for g.
-3
Solve -o = -8*t + 13*t + 25, -17 = 5*o - 2*t for o.
-5
Solve 1015*c = 1013*c - 3*z - 11, 4*c - 4*z = 8 for c.
-1
Solve -1971*s + 1973*s - 4*o - 4 = 0, 8 = 4*s - 5*o for s.
2
Solve 2*s - 7*b + 10*b + 4 = -11, -2*b - 2 = 0 for s.
-6
Solve -5*m - 2344 + 2403 = -2*c, c + 5*m = 53 for c.
-2
Solve 0 = l + r - 7, 3492*l - 3500*l + 5 = 2*r - 21 for l.
2
Solve 0 = -3*h + 3*m + 6, -3*h - 2*m - 101 = -127 for h.
6
Solve -12 = 7*t + 2*t - 6*t + 9*c, -5*c = 15 for t.
5
Solve -u + 4*v = 0, 4*v + 18 = -3*u + 35 - 33 for u.
-4
Solve 2*z = 5*z + 7*c - 86, -c = 3*z - 20 for z.
3
Solve -2*i + 2*o = -18, 39 = -819*i + 824*i - 3*o for i.
6
Solve w + 8*d = 55, -3*w - d + 48 = 44 for w.
-1
Solve -5*x - 4*j = 7833 - 7819, 2*x - 1 = 5*j for x.
-2
Solve -6*h - 19 = 70*y - 37*y - 38*y, h = -4*y - 8 for h.
-4
Solve 0 = -2*a + 2*n + 3 + 11, -n = 3*a - 5 for a.
3
Solve 9*o = -4*k + 12*o + 12, 0 = 4*o - 25 + 41 for k.
0
Solve -q + 2*o + 0 = -15, -5*q - 3*o = -49 for q.
11
Solve 0 = -u - 5*r - 77, 92929*r - 71 = -2*u + 92934*r for u.
-2
Solve -2*g = 5*z + 10, -5*g - 17*z - 25 = -12*z for g.
-5
Solve -8207*b - 28 = -3*j - 8212*b, 0 = 5*j - 4*b + 52 for j.
-4
Solve -44*f = -46*f - 2*p - 4, -2*f - 3*p = 3 for f.
-3
Solve 5*b + 2*k = -k + 29, 5*k + 38 = 4*b for b.
7
Solve 0 = -b + 5*g - 21, -5*b - 4*g + 32 = -2*b for b
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let k(g) = 18*s(g) - 4*t(g). Differentiate k(y) wrt y.
-16*y
Find the third derivative of -61623*a**5 + 61623*a**5 + 1 + 123*a**2 + 159*a**6 wrt a.
19080*a**3
Let a(t) be the second derivative of -161*t**6/15 + t**4/6 - 110*t**3 + 879*t. Find the third derivative of a(c) wrt c.
-7728*c
Let p(z) = 100*z**2 - 135*z. Let w(g) = -100*g**2 + 135*g. Let t(f) = 7*p(f) + 6*w(f). What is the second derivative of t(o) wrt o?
200
Suppose 26 = 5*s - 2*f, -5*s + 2*f + 3*f + 35 = 0. Find the first derivative of -9 + a - 7*a + s*a - 2 wrt a.
-2
Let f(j) be the third derivative of -2*j**2 + 0*j**6 + 0*j**4 + 23/60*j**5 + 0*j + 1/7*j**7 + 0 + 0*j**3. What is the third derivative of f(l) wrt l?
720*l
Let x(t) = 2*t**4 - 11*t**2 + 8*t - 208. Let p(n) = 5*n**4 - 33*n**2 + 23*n - 624. Let c(q) = 6*p(q) - 17*x(q). Find the second derivative of c(b) wrt b.
-48*b**2 - 22
Let v(s) be the second derivative of -36*s**5/5 - 41*s**3/6 + 3*s**2/2 - 544*s. Find the second derivative of v(h) wrt h.
-864*h
Let m = 2 - -1. What is the second derivative of -4*y + 479*y**2 - m*y**3 - 479*y**2 wrt y?
-18*y
Let o = 70 + -5. What is the second derivative of -q**4 + 0*q**4 + 7*q + 65 - o wrt q?
-12*q**2
Let a(l) = l**2 - 7*l + 14. Let i be a(4). What is the second derivative of -3*s + 0*s + 3*s**2 - 11*s**i - 9*s**2 wrt s?
-34
Let a(o) = 73*o**4 - 6*o**2 + 6*o - 70. Let t(w) = 146*w**4 - 13*w**2 + 13*w - 140. Let b(s) = 13*a(s) - 6*t(s). Differentiate b(u) wrt u.
292*u**3
Suppose -4*o + 8 = -2*w, -6 = o - 3*o. What is the third derivative of -5*t**w - t**3 - 15*t**3 - 5*t**3 - 3*t**2 wrt t?
-126
Let q(f) be the first derivative of -f**7/21 - 7*f**3/6 + 6*f**2 + 6. Let k(l) be the second derivative of q(l). Differentiate k(w) wrt w.
-40*w**3
Find the third derivative of -763*n**3 + 253*n**2 + 113*n - 2 - 221*n + 108*n + 35*n**2 wrt n.
-4578
Let k(z) be the second derivative of -7*z**6/30 - z**4/6 + 29*z**2 + 23*z + 3. What is the first derivative of k(g) wrt g?
-28*g**3 - 4*g
Let n(f) = f**3 + 16*f**2 + 12*f - 28. Let i be n(-15). What is the third derivative of -38*m**2 + 19*m**6 - i*m**6 + 18*m**6 wrt m?
2400*m**3
Let k(j) be the first derivative of -j**6/3 - 3*j**3 - 29*j**2 - 41. Find the second derivative of k(y) wrt y.
-40*y**3 - 18
Let f = 85 - 63. Find the third derivative of -f*z**2 + 2*z**2 - 16*z**3 - 7*z**2 wrt z.
-96
Let g(z) be the first derivative of -34*z**6/3 - 2*z**2 + 9*z - 57. What is the second derivative of g(c) wrt c?
-1360*c**3
Let g(a) be the second derivative of a**5/5 - 8*a**3/3 - 295*a**2 - a - 75. Differentiate g(q) wrt q.
12*q**2 - 16
Let t(k) be the third derivative of 103*k**5/20 + k**4/12 - 77*k**3 - 275*k**2. What is the derivative of t(q) wrt q?
618*q + 2
Let p(m) = -2*m - 10. Let x = -8 - -11. Let s(d) = 9 + 5*d + 0*d - x*d. Let g(f) = -4*p(f) - 5*s(f). Find the first derivative of g(o) wrt o.
-2
Let l = -30 + 30. What is the second derivative of -21*i + l*i - 2*i**2 + 4*i**2 wrt i?
4
Let f(v) = v**4 + 65*v**3 + 478*v**2 - 2*v + 2. Let o(n) = n**2 + n - 1. Let m(q) = f(q) + 2*o(q). Find the third derivative of m(s) wrt s.
24*s + 390
Differentiate -38 - 31 - 8 - 36*a**3 - 26*a**3 with respect to a.
-186*a**2
Find the second derivative of -35416 + 55*c**5 + 12*c - c**4 + 35416 wrt c.
1100*c**3 - 12*c**2
Differentiate 701*s**2 - 6*s**3 - 701*s**2 + 432 - 14*s wrt s.
-18*s**2 - 14
Let p = 32 + -17. What is the derivative of 4*z**2 + 4*z**2 + p + z**2 + 3*z**2 wrt z?
24*z
Let x(m) = 126*m**2 + 12*m + 16. Let b(h) = 251*h**2 + 22*h + 31. Let j(v) = 6*b(v) - 11*x(v). Differentiate j(d) with respect to d.
240*d
Let q(k) be the third derivative of 13*k**6/60 + 15*k**4/4 - 110*k**2. What is the second derivative of q(d) wrt d?
156*d
Suppose 4*p - h = -0*h + 12, -4*p - 2*h + 24 = 0. What is the second derivative of -2*w + w**p + 12*w - 15*w**4 wrt w?
-168*w**2
Let i(m) be the second derivative of 3*m**4/4 - 5*m**3/6 - 137*m**2/2 + 18*m. Differentiate i(h) with respect to h.
18*h - 5
Suppose 2*o - 18 = 2. Suppose 0 = 5*d - 0 - o. Differentiate -11*t + 2*t - 5 - 4 + d wrt t.
-9
Suppose -2*d + l = -20, -2*d + 2*l = d - 32. Suppose -10 = 3*u - d*u. Find the third derivative of -21*o**u - 10*o**5 + 29*o**2 + o**5 wrt o.
-540*o**2
Suppose 0 = -3*j - 4*j + 14. Find the first derivative of -31 - 7*f**2 + 21 - 3*f**2 - f**j wrt f.
-22*f
Let a(n) be the third derivative of 0*n**4 - 25/6*n**3 - 42*n**2 + 0
|
{
"pile_set_name": "DM Mathematics"
}
|
culate p(8).
110
Let j(z) = -2*z**3 - 5*z**2 - 6*z - 4. Calculate j(-2).
4
Let c(j) = 361*j - 2524. Determine c(7).
3
Let r(q) = q**3 + 18*q**2 - q + 358. What is r(-19)?
16
Let r(m) = -2*m**3 + 4*m**2 + m - 4. What is r(-2)?
26
Let t(u) = 193*u - 2058. What is t(6)?
-900
Let k(j) = -4*j**2 - 22*j - 156. Give k(-7).
-198
Let t(z) = -3*z**3 + 367*z**2 + 242*z + 499. Determine t(123).
7
Let t(d) = d**3 - 13*d**2 + 11*d + 289. Give t(11).
168
Let l(m) = m**3 + 18*m**2 - 62*m - 22. Give l(-21).
-43
Let j(a) = 127*a - 5356. Give j(42).
-22
Let k(y) = 17*y - 88. Determine k(-12).
-292
Let a(g) = -239*g + 236. What is a(1)?
-3
Let g(q) = 3*q**2 + 27*q + 53. Determine g(-9).
53
Let i(m) = 706*m - 57901. What is i(82)?
-9
Let j(y) = -y**3 - 13*y**2 + 19*y + 15. What is j(-14)?
-55
Let z(s) = -6777*s - 74541. Determine z(-11).
6
Let l(q) = -q**3 - 7*q**2 + 6*q - 6. Determine l(-8).
10
Let d(v) = -64*v + 1688. What is d(24)?
152
Let w(d) = -4*d**3 + 10*d**2 + 5*d - 31. Determine w(5).
-256
Let l(x) = -3*x**3 - 3*x**2 + 16*x + 36. What is l(-4)?
116
Let m(i) = 75*i - 928. Give m(12).
-28
Let u(h) = 21*h - 839. Give u(39).
-20
Let c(t) = -t**2 + 10*t + 6. Determine c(8).
22
Let o(a) = -359*a + 12226. Calculate o(34).
20
Let h(y) = -y**2 - 24*y + 86. Give h(-14).
226
Let w(z) = -77*z - 339. Give w(-6).
123
Let i(g) = -g**3 - 23*g**2 - 39*g - 39. What is i(-21)?
-102
Let f(d) = 28*d - 420. Give f(43).
784
Let l(j) = -j**3 + 26*j**2 - 53*j - 14. Determine l(24).
-134
Let d(p) = 43*p + 348. Give d(-15).
-297
Let c(x) = -131*x - 7992. What is c(-61)?
-1
Let z(u) = -6*u**2 + 21*u - 13. Determine z(2).
5
Let u(j) = 10*j**2 + 109*j + 763. Calculate u(-7).
490
Let w(m) = 6*m**3 + 65*m**2 - 6*m + 113. Calculate w(-11).
58
Let g(v) = 2*v**3 - 29*v**2 + 38*v + 17. Give g(13).
4
Let z(n) = 2*n**3 + 4*n**2 + 4*n + 14. Calculate z(-3).
-16
Let a(q) = -10*q**2 - 420*q + 860. Determine a(2).
-20
Let d(q) = 2*q**2 - 22*q - 33. Give d(13).
19
Let h(b) = 2*b**3 + 13*b**2 + 17*b + 17. Determine h(-5).
7
Let u(w) = 18*w**2 - 2*w - 2. Give u(-7).
894
Let j(u) = 3*u + 102. Give j(10).
132
Let r(l) = -10*l**2 - 233*l - 1170. Determine r(-16).
-2
Let o(t) = -2*t**3 + 6*t**2 + 17*t - 106. Give o(5).
-121
Let o(q) = -1656*q - 26499. Give o(-16).
-3
Let v(b) = -b**2 + 31*b - 169. Give v(5).
-39
Let q(p) = -p**3 - p**2 + 135*p - 32. Give q(11).
1
Let o(p) = 201*p + 1632. Determine o(-8).
24
Let p(q) = q**3 - 9*q**2 - 42*q + 148. Calculate p(3).
-32
Let g(v) = 56*v + 561. What is g(-10)?
1
Let j(b) = -79*b + 286. What is j(4)?
-30
Let y(p) = 54*p - 63. Give y(3).
99
Let m(f) = -72*f + 24. Give m(-4).
312
Let j(c) = -1929*c + 50149. What is j(26)?
-5
Let f(h) = -5*h - 225. Determine f(-44).
-5
Let n(v) = -3*v**2 + 99*v + 981. Determine n(41).
-3
Let z(a) = 2*a**3 - 152*a**2 - 24*a + 1818. Calculate z(76).
-6
Let x(m) = 5*m**2 - 87*m + 258. Give x(8).
-118
Let j(r) = -r**2 + 146*r + 15185. Calculate j(-70).
65
Let p(n) = 11486*n. Give p(0).
0
Let p(w) = w**3 + 9*w**2 + 12*w - 2. Determine p(-7).
12
Let a(y) = -y**3 - 16*y**2 - 32*y - 2239. Determine a(-20).
1
Let c(z) = 151*z - 1699. Determine c(11).
-38
Let z(d) = -36*d + 70. What is z(2)?
-2
Let f(o) = -5*o - 39. Give f(6).
-69
Let c(l) = -5*l**2 + 19*l - 15. Give c(3).
-3
Let b(x) = 5*x**2 - 17*x - 10. Determine b(-6).
272
Let s(m) = 4*m**3 + 10*m**2 - 258*m - 531. Give s(-2).
-7
Let o(y) = -210*y + 8157. Determine o(39).
-33
Let a(r) = -r**3 - 27*r**2 + 81*r - 262. Calculate a(-30).
8
Let q(n) = -n**3 + 51*n**2 - 54*n + 297. What is q(50)?
97
Let b(j) = 27*j**2 - 51*j - 1. What is b(2)?
5
Let t(f) = -221*f + 8478. Calculate t(38).
80
Let n(v) = -40*v + 101. Give n(2).
21
Let q(g) = -g**2 - 108*g - 1420. Give q(-16).
52
Let t(k) = 1346*k - 20199. Give t(15).
-9
Let v(o) = -3*o**3 - 138*o**2 - 41. Give v(-46).
-41
Let w(l) = 206*l**2 - 69*l + 3. Give w(
|
{
"pile_set_name": "DM Mathematics"
}
|
15 + 5*x**4/4 + 3*x**3 - 2*x**2 - 26. Determine p, given that w(p) = 0.
-3, -1, 1
Let m = 17 - 1. Let o = 16 - m. Factor o + 2/3*w**2 - 4/3*w.
2*w*(w - 2)/3
Suppose -h = -2*h + 291. Determine a, given that -9*a**4 - 285*a**3 + a - a + 3*a**5 + h*a**3 = 0.
0, 1, 2
Suppose 0 = -3*c - 3*x - 3 - 3, c + 6 = -2*x. Determine g, given that -92*g**2 - 3*g**4 + 181*g**c - 89*g**2 = 0.
0
Suppose 0 = t + 3*t + 12. Let i = 0 - t. Determine p, given that -5*p**2 + 3*p**i - 14 + p**4 - 2*p**5 + 14 + p**5 + 2*p = 0.
-2, 0, 1
Let w(f) = -8*f**2 + 4*f - 2. Let l(g) = -5*g - 8*g - 4*g + 9 + 33*g**2 + g. Let b(m) = 2*l(m) + 9*w(m). Find p such that b(p) = 0.
0, 2/3
Let p(o) be the third derivative of -1/480*o**5 - 1/48*o**4 + 35*o**2 - 1/12*o**3 + 0 + 0*o. Determine m so that p(m) = 0.
-2
Solve 2/5*x**3 + 28/5*x**2 + 24/5 + 10*x = 0 for x.
-12, -1
Let d(z) be the second derivative of z**7/5040 - z**5/240 - 2*z**4/3 + z. Let n(c) be the third derivative of d(c). Factor n(s).
(s - 1)*(s + 1)/2
Let m(n) be the second derivative of n**7/42 + 8*n**6/15 + 4*n**5 + 32*n**4/3 + 19*n - 2. Determine b so that m(b) = 0.
-8, -4, 0
Suppose -2*c = 5*c. Suppose c = -5*r + r + r. Let -2/11*f + r - 2/11*f**2 = 0. Calculate f.
-1, 0
Let j(s) = s**2. Let m = 12 + -12. Suppose 0 = 5*l - a + 22, -3*l - 2*a + 0*a - 8 = m. Let x(y) = 10*y**2 - 16*y + 8. Let p(b) = l*j(b) + x(b). Factor p(i).
2*(i - 2)*(3*i - 2)
Let h = -4098 + 12319/3. Factor -5/3*o**2 - h*o + 0.
-5*o*(o + 5)/3
Let l(d) be the second derivative of -d**4/3 - 302*d**3/3 - 300*d**2 - 33*d + 7. Let l(o) = 0. What is o?
-150, -1
Suppose 2*g + 2 = -z + 14, -5*z - g = -15. Let q = 511/6 + -85. Suppose 1/6 + q*b - 1/6*b**z - 1/6*b**3 = 0. What is b?
-1, 1
Let z(x) be the first derivative of -x**3/5 + 54*x**2/5 - 204*x/5 + 365. Factor z(h).
-3*(h - 34)*(h - 2)/5
Let k(r) be the second derivative of r**7/2310 + r**6/660 - r**5/220 - 13*r**2/2 + 7*r. Let o(x) be the first derivative of k(x). Factor o(c).
c**2*(c - 1)*(c + 3)/11
Let p be ((-4)/(3 - 7))/((-1)/(-25)). Factor -3*j**3 - 3*j**4 + 0*j**4 + 28*j**2 + 3*j**5 - p*j**2.
3*j**2*(j - 1)**2*(j + 1)
Suppose 0 = -84*i + 88*i + 12. Let c be (((-324)/(-6))/i)/(6/(-4)). Solve 11/3*l**3 + 0*l - 4/3 - c*l**5 - 16*l**4 + 9*l**2 = 0 for l.
-1, -2/3, 1/2
Let q = -92 + 94. Suppose -9*t**2 + 10*t**q + 3 - 4*t**2 = 0. Calculate t.
-1, 1
Let n be (48/(-5))/(-4) + 6/(-15). Solve -2*g - 2*g**5 - 12 - 5*g**4 + g**5 - 7*g**n - 9*g**3 + 12 = 0 for g.
-2, -1, 0
Let u(m) = -5*m**5 + 16*m**3 - 11*m - 6. Suppose 9*d = 9 - 63. Let c(l) = 5*l**5 - 15*l**3 + 10*l + 5. Let r(h) = d*c(h) - 5*u(h). What is w in r(w) = 0?
-1, 0, 1
Factor 11/9*d - 2/9*d**2 - 1/9*d**3 + 4/3.
-(d - 3)*(d + 1)*(d + 4)/9
Let n(y) be the first derivative of -y**6/1350 - y**5/300 + y**4/90 - y**3 - 3. Let a(t) be the third derivative of n(t). Factor a(k).
-2*(k + 2)*(2*k - 1)/15
Let i(y) = -y**3 - y - 1. Let t(m) = -7*m**3 - 12*m**2 - 3*m + 13. Suppose -57*l = -59*l - 6. Let g(c) = l*i(c) + t(c). Determine b so that g(b) = 0.
-2, 1
Let v(m) be the second derivative of 0*m**2 + 0 + 1/21*m**7 + 1/15*m**6 - 1/6*m**4 + 0*m**3 - 1/10*m**5 + 5*m. What is r in v(r) = 0?
-1, 0, 1
Let i be -4 + 1442/308 + (-12)/66. Find x such that 1/4*x**2 - i + 1/4*x = 0.
-2, 1
Let t = 4/4165 - -4153/12495. Factor -1/6*c**2 + t + 1/6*c.
-(c - 2)*(c + 1)/6
Let f(b) be the second derivative of -2*b**6/15 + 6*b**4 + 64*b**3/3 + 30*b**2 + 2*b + 53. Let f(p) = 0. Calculate p.
-3, -1, 5
Let f be 354/(-120) + 5 - 12/15. Determine i so that -5/4*i + 0*i**2 + f*i**3 + 0 = 0.
-1, 0, 1
Suppose -34 = -4*p - 10. Solve 808 - p*q**2 + 3*q**3 - 393 - 391 - 12*q = 0.
-2, 2
Factor 12/5*f + 0 - 2*f**2.
-2*f*(5*f - 6)/5
Factor -32/5 - 4/5*d**3 + 24/5*d + 12/5*d**2.
-4*(d - 4)*(d - 1)*(d + 2)/5
Factor -3/2*j**2 + 15/2*j - 9.
-3*(j - 3)*(j - 2)/2
Let t = 1799 - 3553/2. Factor -5/2*h**2 - t - 15*h.
-5*(h + 3)**2/2
|
{
"pile_set_name": "DM Mathematics"
}
|
common factor of t and h.
11
Suppose 0 = 6*b - 3*b - 36. Let y = -45218 + 45224. What is the highest common divisor of y and b?
6
Let o = 569 + -894. Let k be 6/(-4 - o/80). Calculate the highest common divisor of k and 120.
24
Let v be (181/(-5))/((-24 - -22)/((-20)/(-2))). Calculate the highest common divisor of v and 543.
181
Let l = 7 + 520. Calculate the greatest common divisor of l and 124.
31
Let p = -86 + 140. Suppose 0*z + p = 2*a + 2*z, 32 = a - 4*z. Let s(b) = 5*b**2 - 4*b + 2. Let f be s(2). What is the greatest common factor of f and a?
14
Let k be 31 - (-1 - (3 + -3)). Suppose 0 = 4*p + g + k, -16 + 0 = 2*p - 3*g. Let j be (-1)/(-4 + (-31)/p). What is the greatest common divisor of 24 and j?
8
Suppose -3*g + 0*g = 5*b - 6, g - 1 = -2*b. Suppose 0 = -g*z + 168 + 21. What is the greatest common divisor of z and 3?
3
Let y = 9 + -9. Suppose y = 5*z - 3*z - 24. Let t = 120 + -116. Calculate the highest common factor of t and z.
4
Let d(s) = -2086*s + 1363. Let l be d(0). Calculate the highest common factor of 87 and l.
29
Let u(t) = -2*t - 10. Let z be u(-7). Suppose -m - 2 - z = 0. Let d = m - -12. Calculate the highest common divisor of 2 and d.
2
Let q = -12 - -12. Suppose 5*s - 84 = -3*r, 0 = s - q*r + r - 18. Let j(u) = 136*u**3 - u. Let f be j(1). Calculate the highest common factor of s and f.
15
Let b be (-896)/(-20)*(5 + (-15)/6). Calculate the highest common factor of 588 and b.
28
Let d be (3/(27/57))/(4/12). Let l = -937 + 938. What is the greatest common factor of d and l?
1
Suppose 3*g + 4*j = 320, 2*j - 120 = -g - 2*j. Suppose 9*q = -4*q - 21*q + 2040. Calculate the highest common factor of g and q.
20
Let a(w) = 5*w + 173. Let z(h) = -h**3 - 4*h**2 + 6*h + 6. Let x be z(-3). Let j be a(x). What is the greatest common factor of j and 51?
17
Suppose 3896 = 4*a + 6*q, 5*a + 4*q - 4912 = 7*q. What is the highest common factor of a and 40?
20
Let m(u) = 37*u**2 + 366*u + 6. Let q be m(-10). Calculate the greatest common factor of 2300 and q.
46
Let z(a) = -3*a**2 - 57*a - 222. Let k be z(-13). What is the greatest common divisor of k and 236?
4
Let p = -84591 + 84620. Suppose 36 = 2*x - 66. Suppose j - x = -22. Calculate the highest common factor of j and p.
29
Let w = -11005 - -11470. Calculate the highest common divisor of 403 and w.
31
Let y = 3313 + -3053. Calculate the highest common factor of y and 325.
65
Let l be 1 - (2 + 3) - (7 + -31). Let k = -96 - -156. Suppose 25*h - k = l*h. What is the highest common divisor of h and 30?
6
Let i(g) = -4*g**2 - 8*g + 13. Let n be i(-3). Let s be 71 - (-3 - (n + 0)). What is the greatest common divisor of s and 120?
15
Let j = 23793 - 19900. Calculate the greatest common factor of j and 1832.
229
Let n(a) = -2*a - 11 - 14 + 56*a**2 + 27. Let h be n(1). Calculate the highest common divisor of 98 and h.
14
Let z(j) be the first derivative of -10*j**2 - 4*j - 1. Let x be z(-3). Let r = 16092 + -16008. What is the greatest common divisor of r and x?
28
Suppose 10*i - 3234 = -4*i. Let l = 60 + 10. Let x = -37 + l. Calculate the highest common factor of i and x.
33
Let a = -2711 - -4491. What is the greatest common divisor of a and 534?
178
Suppose 2*y + u = 209, -3*y + 308 + 7 = 3*u. Let m(s) = -s**3 - 63*s**2 - 32*s + 1873. Let j be m(-62). Calculate the highest common divisor of y and j.
13
Let y(c) = -5*c**3 - 3*c**2 + 16*c + 32. Let l be y(-2). Suppose -l*h + 454 = -554. What is the highest common divisor of 1044 and h?
36
Let l be -2 - (-3)/(9/15). Suppose 5*b - l*y + 8 - 21 = 0, -y - 5 = -2*b. What is the greatest common factor of b and 14?
2
Let l(a) = a**2 - 15*a + 38. Let h be l(11). Let n be (-21)/(-14)*(-140)/h + 1. What is the greatest common factor of 28 and n?
4
Suppose 3*x = -21, -103*x + 101*x - 334 = -5*a. Calculate the greatest common divisor of 28096 and a.
64
Let v(s) = 4*s - 31. Let x be v(9). Suppose r - 2*b = 180, 61 - 606 = -3*r + x*b. What is the highest common divisor of r and 5?
5
Suppose 2*r - 28 = -0*r. Let t be (-18)/99 - (-482)/(-11). Let y = 128 + t. What is the highest common divisor of r and y?
14
Let w = -5 + 22. Suppose a + 2*c = -c + w, -5*a - c = -29. Suppose -2*x - a*x = -2205. What is the highest common divisor of x and 35?
35
Let w(p) = -p**3 + 12*p**2 - 32*p + 55. Let x be w(9). Calculate the highest common divisor of x and 2680.
10
Let y = -134 - -80. Let g be 28/(-35)*(1 - 91). Let v = g + y. What is the highest common divisor of 2 and v?
2
Suppose 531 = 3*b + 15*n - 24*n, 2*b - 4*n - 368 = 0. Let l be (14 + -2)*6/4. Calculate the greatest common divisor of b and l.
18
Suppose -3*r - 61 = -2*p + 70, p = 3*r + 58. Let v = -1430 + 2014. What is the greatest common factor of p and v?
73
Let w(a) = -a**2 + 21*a + 27. Suppose 0 = 3*p + 38 - 101. Let n be w(p). What is the greatest common divisor of 99 and n?
9
Let j(r) = r**2 + 22*r - 405. Let h be j(12). Suppose 0 = 5*p - 0*p. Let y be (p - -1)*9*3. Calculate the highest common divisor of h and y.
3
Suppose -4*a + 1 = -i - 9, 5*a = -5*i. Let t(s) = 23*s**2 - 4*s + 4. Let p be t(a). Calculate the highest common factor of 66 and p.
22
Let p(t) = -2*t**3 - 44*t**2 - 43*t - 36. Let n be p(-21). Let w be (351/n)/((-2)/20). What is the greatest common factor of 18 and w?
18
Let d = -63 - -140. Let t = -60 + d. Let w = 46
|
{
"pile_set_name": "DM Mathematics"
}
|
2*s**3 + (-1 + 3 - 3)*(2*s**3 - 4*s + 4*s) + 2*s**2 + s**3 - 2*s**2.
-4*s**3
Expand 3 - 2*u - 3 - u + 4*u - 4*u + (0 - 3 + 2)*(-3*u + 4*u + u) + (4 - 4 - u)*(-8 + 12 - 10).
u
Expand (3*i**3 + 19*i - 19*i)*(2*i - 1 + 1).
6*i**4
Expand (2*i**2 + 10*i**2 - 6*i**2)*(2 + 0 + 0 + (3 - 3 - 2)*(-2 - 3 + 4) - 3 + 5 - 3 + 0 + 1 - 2).
12*i**2
Expand (1 - 4 + 0)*(-2*f + 2*f - 3*f).
9*f
Expand (-2*f - 4*f + 4*f)*(2*f + 0*f - 3*f + (1 + 1 + 0)*(3*f - 4*f + 0*f)) - 2*f**2 - 5*f**2 + 3*f**2.
2*f**2
Expand (-3*w**2 + 3*w**2 + 3*w**2)*(0*w + 0*w - 2*w + (1 + 2 - 1)*(w + 0*w - 2*w)).
-12*w**3
Expand (-72*a + 71*a - 15 - 1)*(-a**3 + a**3 + 2*a**4).
-2*a**5 - 32*a**4
Expand (-5*f + 6*f - 2*f)*((0*f + 3*f - 4*f)*(0*f - f + 2*f) + 3*f**2 - f**2 - 4*f**2) + (-4*f**2 + 4*f**2 - 2*f**2)*(-3*f + 0*f + f) + 4*f + f**3 - 4*f.
8*f**3
Expand -f**2 - f**4 + f**2 + (3*f + 0*f - 2*f)*(4 - 4 + f**3) + 0*f**4 - 3*f**4 + 4*f**4 + (f - f + 2*f**2)*(2*f**2 - f + f).
5*f**4
Expand (-3*q**2 + 2*q**2 - q**2)*(64 - 64 + 11*q)*(q - q + q**2).
-22*q**5
Expand (0 - 3 + 2)*((0 + 3 - 2)*(1 + 0 + 1) - 3 - 2 + 4)*(2*j + j + 0*j).
-3*j
Expand u**2 - u**2 + 2*u**4 + (3*u - u + 0*u)*(-4*u**3 + u**3 + 5*u**3) + 5*u**4 + 6*u**3 - 6*u**3 - u**4 + 2*u**4 + 0*u**4 - 4*u**2 + 2*u**4 + 4*u**2.
14*u**4
Expand ((0 + 4 - 2)*(3*z - 5*z + 0*z) - 4*z - 12*z + 5*z)*(-z**4 - 3*z**4 + 3*z**4).
15*z**5
Expand -l + 2*l**3 + l + (-2 - 2*l**2 + 2)*(l - 4*l + l) - 2*l**2 + 2*l**2 + l**3 + (-l + 0*l - l)*(-1 + 3*l**2 + 1).
l**3
Expand -y**2 + 2*y**5 + y**2 + (y + 3 - 3)*(-2*y**4 - 3*y**4 + 2*y**4) - 2*y**5 + 2*y**5 - y**5.
-2*y**5
Expand 2*h**4 - 3*h**2 + 4*h**2 - 2*h**2 + 6*h**4 - h**4 - 4*h**4 + (-h**3 - h**3 - h**3)*(3 - 3 - 2*h).
9*h**4 - h**2
Expand 1 + 2*z**2 - 1 + (3*z - z - 4*z)*(-4*z + 6*z + 3*z).
-8*z**2
Expand (149 - 149 + 30*p**2)*(-1 + 0 + 2).
30*p**2
Expand (7 - 6 + 0 + (0 - 1 - 1)*(0 - 3 + 2))*(u - 2*u + 0*u).
-3*u
Expand (i**2 + 1 - 16*i + 18*i + 2)*(2*i**2 + 2*i**2 - 5*i**2).
-i**4 - 2*i**3 - 3*i**2
Expand (2*l**3 - 2*l**2 + 2*l**2)*(34 + 28 - 21).
82*l**3
Expand -2*k - 2 + 2 - 3*k + 4*k - 2*k + 0*k + 0*k + k + (0*k + 2*k - 3*k)*(-3 + 3 + 2) - 2 + 2 - 2*k + k - 5*k + 2*k.
-8*k
Expand 0*u + 3*u - 16*u + (-1 + 0 + 3)*(-2 + 2 + 2*u).
-9*u
Expand (11*u**2 + 7*u**2 - 7*u**2)*(-3 - u**2 + 3).
-11*u**4
Expand (5 + r - 5)*(-2*r - 2*r + 6*r + (-2 + 0 + 1)*(-r - 2*r + r) - 3*r + 5*r - r).
5*r**2
Expand (3*o**2 - o + o)*(o - o - o) - 1 + 1 + 2*o**3 + (2*o**2 - o + o)*(2*o - 8*o - o).
-15*o**3
Expand (0 + 0 + 1)*(2*j - 3*j + 3*j + (1 - 1 - 2*j)*(-5 - 6 + 5))*(0*j**4 - j**4 + 2*j**4).
14*j**5
Expand 2*m**3 - m**3 - 2*m**3 + (-3*m**2 + 2*m**2 + 2*m**2)*(3*m + 2 - 2).
2*m**3
Expand -71 - 3*u**4 + 3*u**2 + 71 - u**4 + 3*u - 3*u + (-2 + 0 + 3)*(-u**4 + 3 - 3).
-5*u**4 + 3*u**2
Expand (-3 + 2 + 3)*(3 + 1 - 10)*(-2*q - q + 4*q).
-12*q
Expand (1 + 2 - 2)*(1 - 1 + 2)*(-2 + 0 + 1)*(7 - 2*i - 7).
4*i
Expand (-5 - 4 - 1)*((0 + 0 - 2)*(-2*g + 2*g - 2*g) - 2*g - g + 4*g).
-50*g
Expand 0*d**5 + 8*d**5 - d**5 + (-3*d**3 + 2*d**3 + 2*d**3)*(55*d - 55*d - 3*d**2).
4*d**5
Expand (2 + 9 + 0)*(-3*s + 4*s + 0*s)*(-3*s**4 + 4*s**4 - 3*s**4).
-22*s**5
Expand 3*m**4 - 4*m**4 + 3*m**4 + 2*m + 11*m**4 - 2*m - m**4 + 0*m**2 + 0*m**2 + (1 + 2*m**3 - 1)*(3*m - 2*m + m) - m**4 + 4*m**4 - 5*m**4.
14*m**4
Expand d**3 - 3*d**3 + d**3 + 3 - 2*d**3 - 3 + (-2*d + 0*d + 0*d)*(-4*d**2 - 2*d**2 + 2*d**2).
5*d**3
Expand (-3*l + 5*l + 7*l)*(6 - 3 - 5)*(2*l - 1 + 4 - l).
-
|
{
"pile_set_name": "DM Mathematics"
}
|
+ (-2*u + 6*u - 3*u)*(2*u - u - 3*u) to b + o*u + f*u**2 and give b.
-16
Rearrange (-3 + 3 + 2*o)*(-2*o + 4*o - 3*o)*(2 - 4 - 29*o**2 - 75*o**2) to the form m*o**2 + g*o**4 + u + v*o**3 + x*o and give g.
208
Express 8142*h**4 - 2 + h**2 - 9*h + 2 - 8172*h**4 + h as a*h**3 + v*h**2 + y*h**4 + w*h + g and give v.
1
Rearrange -445 - 4*x**2 - 6*x**2 + 38*x**2 - 13*x**2 - 13*x**2 to l*x**2 + q*x + f and give f.
-445
Rearrange -2*m + 2*m**3 - 6667*m**2 + 3 - 4*m**4 + 6667*m**2 to g*m**3 + x + j*m**2 + b*m**4 + v*m and give x.
3
Express (-341*x**3 - 9185*x**2 + 9185*x**2)*(-5 + 3 - 1) as q*x**3 + f*x**2 + s*x + z and give s.
0
Rearrange (-141*h**2 + 27 + 139*h**2 + 24)*(-7*h**2 - 7*h**2 + 19*h**2) to the form n*h**2 + j + m*h**3 + f*h**4 + g*h and give n.
255
Rearrange -5*c + 0*c - c**2 + 3*c**3 - 4*c**3 - 6*c to the form a*c**3 + d*c + u + p*c**2 and give a.
-1
Express 190*d - 5*d + 199*d as k*d + j and give k.
384
Express -4 - 300*a**2 - 2*a**3 - a**4 + 1 + 5 + 290*a**2 in the form t*a**4 + u*a**2 + z + y*a + j*a**3 and give t.
-1
Express 38*o**2 - 2076*o**3 + 1 - 37*o**2 + 2077*o**3 in the form h*o**2 + u*o + r + s*o**3 and give u.
0
Express -4 + 9*a + 9 - 7*a**2 + 32*a**3 - 63*a**3 + 30*a**3 as o*a**2 + k + j*a + u*a**3 and give u.
-1
Rearrange -43*a**2 - 4*a - 40*a**2 - 17 + 18 to the form v*a**2 + u*a + g and give g.
1
Rearrange 3*y**3 + 19*y**2 + 3*y**4 - 4*y**4 + 3*y + 14*y**2 - 4*y**3 + 3*y**3 to the form v*y**4 + k*y + w + o*y**2 + p*y**3 and give k.
3
Express (-6 - 6*h + 6)*(67 + 35 + 40) as r*h + l and give r.
-852
Rearrange 20*p**2 - 2*p**3 + 2 - 5 - 22*p**2 + 1 to the form j*p + b*p**2 + l*p**3 + g and give b.
-2
Rearrange -82 - 48 + 226 - 3*l**2 - 3*l**3 - 56 + 2*l**3 to the form x*l**2 + v*l**3 + c*l + h and give v.
-1
Rearrange (o - 2*o**2 - o)*(618*o - 594*o - 3*o**2 - 13*o**2) to f*o + j + n*o**2 + y*o**3 + p*o**4 and give p.
32
Rearrange -659 - 13*u - 11*u + 40*u - 17*u + 263 to w*u + b and give b.
-396
Express 6*s**4 - 2*s**4 - s**4 + (s**2 - 19*s**2 - 11*s**2)*(7*s**2 - 2*s**2 + 3*s**2) in the form y + t*s**4 + u*s**2 + v*s**3 + l*s and give t.
-229
Rearrange 20 + 13 + 21 - 62*h - 55 to n + d*h and give d.
-62
Rearrange (-56*a + 11*a + 154*a + 1)*(3 - 2*a - 3 - a + 2*a - 2*a + (-3 + 4 - 2)*(-2 + 3*a + 2))*(-a - a + a) to i + j*a**3 + f*a**2 + g*a and give j.
654
Express ((0 - 2*r + 0)*(1 + 3 - 3) + (-4 + 2 + 7)*(5*r - 5*r + 13*r))*(3 + 1 - 6)*(r + r - r) as x + d*r + n*r**2 and give n.
-126
Rearrange -6 + 3 - 17*t - 38*t + 0*t**2 + 2*t**2 + 1 to the form s*t**2 + n*t + r and give s.
2
Rearrange (-1 + 0 - 2)*(-11*h + 28 - 47 + 9) to the form v*h + q and give q.
30
Rearrange -13*g + 3 + 17*g + 4*g**2 - 4 - g**3 to x*g**2 + k + i*g**3 + a*g and give i.
-1
Rearrange (12 - 12 - 6*k)*(-20 + k + k + 15) to q*k + z + u*k**2 and give q.
30
Express 1 - 3*g**3 + 1 - 6346*g + 6342*g in the form w*g + a*g**2 + i*g**3 + j and give i.
-3
Express (-2*z - 3 + 3)*(0*z**2 + 2*z**2 + 0*z**2) - 323*z**3 - 61959*z**2 + 61959*z**2 in the form b*z**3 + n*z + h + r*z**2 and give b.
-327
Rearrange -6 + 15*q**2 + 2 + 1 - 25*q**2 - 51*q**3 + 11*q**2 to m*q**3 + u*q**2 + k + c*q and give u.
1
Express (-3*d + d + 10*d)*(-3 + 3 + 2*d) + (14*d + 5 - 5)*(-d + 0 + 0) as p*d + l*d**2 + s and give l.
2
Express 153*m**2 + 1 + 2*m**3 - 3 - 153*m**2 + 3*m in the form d + v*m + t*m**2 + r*m**3 and give v.
3
Express (1 + 4 - 4)*(2 - 1 + 0)*((2 + 2 + 6)*(-2 + 0 + 4) - 2 - 4 - 2)*(a - 6*a + 2*a) in the form y*a + j and give y.
-36
Express -5 + 309*x**2 - 20 - 1013*x**2 + 25 in the form m*x**2 + r + l*x and give m.
-704
Express (-6*o - 4*o + 4*o)*(-44*o + 44*o + 68*o**3) - 3 - o**4 + 3 in the form m*o + z*o**2 + t*o**3 + u + s*o**4 and give s.
-409
Express 2*y**4 + 98 - 2*y**3 + 0*y**2 - 103 - 3*y**2 in the form t*y + m*y**4 + s*y**3 + a + v*y**2 and give v.
-3
Express -2*f**4 - f**2 - 5*f**3 + 74*f**3 - 115*f**3 + 1 in the form r*f**2 + c + u*f + o*f**3 + y*f**4 and give y.
-2
Express -143*
|
{
"pile_set_name": "DM Mathematics"
}
|
te?
True
Suppose -2*l + 2*m = -3694, 2*l = 7*l + 4*m - 9271. Is l prime?
False
Let p be 1/((-21)/6 + 3). Let a be (-691)/2*4/p. Suppose -4*o + a = -201. Is o a prime number?
True
Suppose 4*h = 2*i - 82, 3*i = h - 2*h + 109. Let r(p) = 3 - i*p + 3 - 1 - 4. Is r(-4) a prime number?
True
Suppose -3*w + 1089 = -0*w. Suppose -4*m - 23 = -w. Is m prime?
False
Let h(n) = 333*n + 2. Is h(1) a composite number?
True
Let q(c) = -c**3 + 5*c**2 + 3*c + 2. Let b be q(6). Let v be b*(2 - (-5)/(-4)). Let t = -3 - v. Is t composite?
True
Is 2 + 94 - (3 - 4) composite?
False
Suppose -6*k + 2*k + 10 = 2*i, -k - 5*i = 11. Let l(a) = -a + 7. Let h be l(5). Suppose k*o - h*t = 212, t - 5*t + 265 = 5*o. Is o composite?
False
Let z be 1 + 4 + -2 + 2. Suppose -2*j + z*y = -99, 2*j = 4*j - 2*y - 84. Is j a prime number?
True
Suppose -27 = -r - 5. Is r a prime number?
False
Let z(f) = 13*f**3 + f**2 + f - 1. Let r = -10 - -7. Let q be 9/r*(-3)/9. Is z(q) a composite number?
True
Suppose -3*r - 10 = -8*r. Let h(v) = 2*v**3 - 3*v**2 - v**2 - 1 + 2*v**r. Is h(2) a composite number?
False
Suppose -4*u + 8877 = -3*c, 5*u = -2*c + u - 5938. Let t = -1708 - c. Is t a prime number?
False
Let t be (4 - 0)/(-4) - -654. Suppose -532 = -3*j + t. Is j a composite number?
True
Let y = -12 + -10. Let u = 25 - y. Is u prime?
True
Suppose -4*b - 4 = 0, -q = 3*q + 3*b + 3. Suppose 0 = -q*a + 2*a - 134. Is a a composite number?
False
Suppose 0 = 5*n - 2*g - 1895, 0 = n + 4*n + 2*g - 1895. Is n a prime number?
True
Suppose -3 + 9 = -2*t. Let m(z) = z**2 - z - 2. Is m(t) a composite number?
True
Let x(h) = 4*h - 12. Let q be x(4). Let j be (5/4)/(1/4). Suppose q*t - u + 3*u = 156, j*u = -2*t + 86. Is t prime?
False
Let n be 40/(-18) - 2/(-9). Let h = 17 - n. Is h composite?
False
Let b(u) be the first derivative of u**4/2 + u**2 + 4*u - 2. Let w be b(3). Suppose -4*g - w = -4*o, g + 4*g = 2*o - 35. Is o composite?
True
Let k(j) = -41*j**3 + 2*j**2 + 3*j + 1. Let q be k(-2). Suppose 4*w - q - 145 = 0. Is w a composite number?
True
Let z(m) = 5*m**2 - 8*m - 10. Let c(t) = 15*t**2 - 24*t - 29. Let i(b) = 4*c(b) - 11*z(b). Is i(-5) composite?
True
Is (-3 - -8)*395/25 prime?
True
Suppose g - 466 = -3*a + 2*a, 5*a = 3*g - 1406. Is g a composite number?
False
Let g = 1 - -3. Is (-4)/(g/(-79))*1 a prime number?
True
Suppose 5*m - 7 = 2*d, -3 = -3*m - 3*d + 18. Suppose m*r + r + 5*n = 100, 0 = -3*n. Is r a prime number?
False
Suppose 8*u - 13*u + 295 = 0. Is u a prime number?
True
Let j be 62/2*(-12)/6. Let u = j - 149. Is 2/8 - u/4 a prime number?
True
Suppose f - 635 = -4*a, -f = 2*f + 3*a - 1896. Is f a composite number?
False
Let s = -10 + 10. Suppose s = -3*p - 798 + 3459. Is p prime?
True
Suppose z + 5*r - 465 = 0, -3*z = -0*r - 2*r - 1327. Is z prime?
False
Suppose 0 = -0*d + 2*d - 62. Let c(t) = -t**3 + 7*t**2 + 8. Let i be c(6). Let j = i - d. Is j a composite number?
False
Suppose 6*k - 413 = 79. Is k composite?
True
Let i be (-30)/9 - (-2)/6. Is (-2)/6 - 346/i a composite number?
True
Let c = 1936 + 425. Is c prime?
False
Let v be 2/(-8) + (-89)/(-4). Is 1 + v + 1 + -2 composite?
True
Let h(m) = m**3 + 7*m**2 - 9*m - 4. Let j be h(-8). Suppose -j*a + 3*a + 70 = -4*v, 5*a = 4*v + 270. Suppose 5*s - 25 = a. Is s a prime number?
False
Is (97/4)/(4*2/224) composite?
True
Let z(m) = -8*m + 1. Let x be z(-1). Suppose -2*f + x = 5*l, 3*l - f = l + 9. Is l a composite number?
False
Suppose 3*p = -l - 6, 20 + 6 = -2*l + p. Let f be 1/1 + l/2. Is 6/15 - 183/f a composite number?
False
Let v(s) = -s + 1. Suppose 0 = 3*q + 2*o - 8, 2*o = o - 5. Let i be v(q). Let w(k) = 3*k**2 - k + 5. Is w(i) composite?
True
Let w(s) = 23*s**2 + s - 1. Let t = -11 - -8. Is w(t) composite?
True
Suppose q - 2*z = 625, -1703 = -5*q + 5*z + 1442. Is q a prime number?
False
Let b = 11 - -4. Let k = b - -100. Is k prime?
False
Suppose 5*x = -222 - 103. Let b be x/(-20) - 1/4. Is (1/(-2))/(b/(-60)) a composite number?
True
Let o(z) = -z**3 - 3*z**2 + 7*z - 6. Let x(w) = -3*w + 2. Let s be x(3). Is o(s) prime?
False
Let o be 34/(-3) - 1/(-3). Let j = o + 16. Let q(w) = 16*w + 5. Is q(j) a prime number?
False
Suppose -5*a = -3*a + f + 3, -2*f - 6 = 0. Is (a + -1 + 34)/1 a prime number?
False
Let i(p) = -p**2 - 10*p + 7. Let b = 9 + -15. Is i(b) prime?
True
Suppose 0 = 5*w + 5*b - 50, -5*b - 46 = -4*w + w. Let d = -1 - 0. Is (6/w)/(d/(-26)) prime?
True
Suppose -5*k - 4*c = -0*k - 2253
|
{
"pile_set_name": "DM Mathematics"
}
|
3278)/210 + 12.
-7/15
Evaluate 43/(224460/(-6699)) - 8/(-6).
1/20
((-14942)/(-2410)*(-1 + 2) - 5) + 588/10
60
Evaluate (100/(-14))/(30/11550*11*5).
-50
Calculate 54/(-120)*(2080/(-728)*(-7)/(-2))/12.
3/8
585/(-975) - (18/35*8)/((-15)/10)
15/7
Calculate 60/18 + -6*735/270.
-13
Calculate (-14)/((250/(-625))/(12/7)).
60
What is the value of (38/12)/((-584)/(-96) + -6)?
38
(27*24/4860)/((-2)/36)
-12/5
Calculate 87/(28710/(-770))*(1 + 8).
-21
Evaluate (-27)/((-985)/(-1970) + (-6 - (-1 - 0))).
6
What is the value of ((-166)/(-80) - 2) + 1812/151*2/30?
7/8
Calculate 2989/(-3150) + 1352/1521.
-3/50
What is the value of (1/5)/(2717788/20435 - 133)?
-61
Calculate ((-315)/10)/(-9)*(-17 + (-1204)/(-196)).
-38
Calculate -3 + 52/24 - (3145/102)/(-37).
0
What is 74/(-11)*(3 - 17) - ((-92714)/1661 + 56)?
94
What is the value of ((-546)/(-364))/(5/(-60))?
-18
What is (26/(-143) - 393/(-165))*(-5 - -4 - 4)?
-11
What is the value of 0 - 5388/93 - 153/(-408)*(-32)/186?
-58
Evaluate (408/60)/((-9*(-2)/21)/((-285)/266)).
-17/2
What is ((-2)/(-15) - 4851/945) + ((-58734)/3926)/(-3)?
-2/151
Calculate 81/(-9) - 11 - (45 + -53).
-12
Calculate (55/(-572)*-13)/((-7)/(-70)).
25/2
What is the value of (2211/(-9045))/(-2 + 204/54 - 2)?
11/10
What is (-153)/(-21) - (-8 + 15) - ((-2299)/63 - -36)?
7/9
Calculate (-21)/(-22)*(-211068)/(-14391).
14
53/(-1272) + -34 + (-30634)/(-816)
7/2
Calculate 25 + (-153)/6 - (10/45 + 4750/(-6660)).
-1/111
What is the value of (944/708)/((-38)/6)?
-4/19
Evaluate (2/(-8) - 3983/84) + (589/(-57))/31.
-48
Calculate -2 - 5 - ((0 - (-5 + 12)) + -1) - -61.
62
Evaluate ((-4906)/396)/(7/(-63)) - (-3)/(-6).
111
What is the value of (105 + 1)*(157 + -349)/384?
-53
Evaluate 21*2/(-4)*(52/6 + (-608)/76).
-7
What is the value of ((-1554)/42 - -36)/((-2)/52)?
26
42 + (-36 - 21) + -31
-46
(-255)/40*(-558)/(-837)
-17/4
What is the value of (-628)/18 - (61/1098)/(1/2) - -2?
-33
15/3 - (100/((-35000)/1330) - (-321)/(-5))
73
Evaluate (0 - (-15)/(-18)) + -41 + 6665/150.
13/5
What is 0 - -56 - 19*703/361?
19
Calculate (-8)/(-2408)*(45 - (-37 + 75)).
1/43
Calculate (36 + 15 - 42 - (-12454)/(-1384))*8.
2/173
What is the value of (-34 - (-27 + 322/23 + 8))*-1?
29
What is the value of 8/(-420)*32368/1156?
-8/15
Calculate 41 + 2338/(-21) - (-3 - (-42)/9).
-72
Calculate (45/5 - (-9)/(-3))*147/98.
9
((-1972)/(-3451))/((-1)/(644/(-8)))
46
What is the value of (91350/1602 + -57)*(12/4 - 4)?
-2/89
Calculate 4*((-3 - (-5790)/(-696)) + (-16)/(-232)).
-45
Calculate (2/3)/((858000/2002)/250).
7/18
What is 21*(-1885)/455 - -57?
-30
What is -40*(511/56)/(-73)?
5
Evaluate -18 + -46*(-59)/(-118).
-41
45/18*1632/(-680)
-6
(-24*((-1003)/170 + 6))/(2/(-25))
30
What is the value of -62 - (20/(-230) + (4/6)/((-1265)/(-3960)))?
-64
Calculate -151 + (-16240)/(-116) - (98 + -5).
-104
((-11)/(-22))/((-3)/144*(15 - 16))
24
Evaluate ((-4)/1 + 1079/415)*10.
-14
Calculate 5 + -16 - (49/(980/216) - 6/(-5)).
-23
Evaluate (-343)/(-51) + 26100/(-3915).
1/17
What is -3 - ((22 - -29)/17)/(1 + 12/(-9))?
6
Evaluate ((-3513)/(-14052))/(15/24*1/(-30)).
-12
What is 189/21 - ((336/(-140))/(9/30) + -31)?
48
What is ((-1790)/537)/(10/36) - (-1 + 62 + 6)?
-79
What is the value of (-4*(-26)/(-1300))/((63/385)/9)?
-22/5
Evaluate ((-2)/4 - (-5115)/9570)/(5 - 4).
1/29
What is (41/12300*30 + 327/(-270))*48/(-20)?
8/3
What is the value of 0 - ((-243)/(-558) - 12*(-9)/(-216))?
2/31
What is 43 + (-68)/((-14688)/(-8760))?
22/9
Evaluate ((-24 - -12 - -4) + 8)/2*-1.
0
Calculate (-94)/96726*-52521 + -51.
2/49
Calculate 598/(-3120) - (441/(-72) - -6).
-1/15
Evaluate ((-17290)/(-665))/(((-24)/(-16))/((-6)/8)).
-13
What is the value of -17 - (290/108)/((-242)/1452)?
-8/9
What is (-26575)/4875 + (-90)/(-1755)?
-27/5
Calculate (-394)/(-24)*2 - (-272825)/233850.
34
Evaluate (-786)/(-252) - (-2095)/(-2514).
16/7
What is (572/(-77))/13 + (-8294)/406?
-21
Calculate (-139 + 105 + (-394)/(-12))*27/(-21).
3/2
Calculate ((-5526)/(-3070))/(3/(-15)).
-9
Calculate (-3*16/(-30))/(11 + 371/(-35)).
4
Evaluate (-42)/((-3990)/1045) + 8*-1*1.
3
What is the value of 6/((-14)/6 - -1 - ((-319802)/84)/53)?
4/47
What is ((-37)/5 - -3) + 15/(-2)*36/135?
-32/5
6445/(-58005)*2/(176/87 + -2)
-29/3
What is the value of 62/34 + 7/((-147)/87) + (-135)/(-63)?
-3/17
What is 80 + -60 - 4*93/6?
-42
What is (-1779)/11860 + 6189/60?
103
2955546/(-36639) + (1 + 0)*-6 - (-1)/(-3)
-87
What is (1001/(-22) + 8)*(-52)/78?
25
What is the value of (-795)/8370 - ((-45)/(-3))/(-135)?
1/62
What is the value of 888/1406 + 2196/(-228)?
-9
Evaluate 6/(-18) - 696/261.
-3
(-2)/((-2014)/230 + 200/(-4600))
5/22
Calculate ((-56)/(-6))/(((-32)/(-72)*1)/((-168)/(-126))).
28
Evaluate (245/(-45) + 3)*3 + 48/(-72
|
{
"pile_set_name": "DM Mathematics"
}
|
rder.
z, p, -5
Suppose 5*p + 0 + 5 = 0, -2*d + p + 11 = 0. Put -3, d, 2 in decreasing order.
d, 2, -3
Let z(x) = -x**3 + 4*x**2 + x - 20. Let k be z(4). Sort k, -13, 3 in decreasing order.
3, -13, k
Let g be (192/(-80))/(6/(-20)). Let v be 3/g - (-333)/72. Suppose v*h = 3*h + 10. Put 1, h, 2 in descending order.
h, 2, 1
Let b = 4 - 3.68. Let i = -4.32 + b. Sort i, 1.5, 5.
i, 1.5, 5
Let t be 12/14 + (-580)/203. Let r(a) be the third derivative of a**6/120 - a**5/60 + a**4/24 + a**3/6 - a**2. Let y be r(0). Sort t, 2, y in increasing order.
t, y, 2
Let a = -5.6 - -4.5. Let b = -2.9 + a. Let f be (-1 - 0) + 9/(-4). Put -0.4, b, f in ascending order.
b, f, -0.4
Let k = -931 - -892. Put 0.3, 1, k in ascending order.
k, 0.3, 1
Suppose 0*s = g + s + 2, s + 14 = -4*g. Sort -3/2, g, 0, -1/7 in ascending order.
g, -3/2, -1/7, 0
Let p(g) = g**3 + 12*g**2 - 11*g + 233. Let o be p(-14). Sort 674, o, 4 in ascending order.
o, 4, 674
Let p be (5/3 - 2) + -1. Let a = -353/410 - -5/82. Sort a, p, -4, 2/17 in descending order.
2/17, a, p, -4
Let i(m) be the second derivative of m**5/20 + m**4 + 7*m**3/6 - 43*m**2/2 - 3*m. Let c be i(-11). Put 0, c, 20, 2 in decreasing order.
20, 2, c, 0
Suppose -10*q + 5*p = -6*q - 20, 2*q + 5*p = -20. Sort -2, -10, q, 1 in decreasing order.
1, q, -2, -10
Let o = 0.1 - -2.9. Let b = 0 + o. Let t = -964.1 + 964. Sort b, -3, t.
-3, t, b
Let v = -43 + 45. Suppose -4*l - 3*f - v = -0*f, f = 3*l - 5. Put l, 1/11, 4 in descending order.
4, l, 1/11
Let s = 142 + -137. Let a = -4 - -4. Put s, a, -5, -4 in descending order.
s, a, -4, -5
Suppose -10*b = 18 + 32. Put 3, -39, -3, b in descending order.
3, -3, b, -39
Let i(m) = 25*m + 5. Let z be i(0). Let l = 0 - 3. Sort l, z, 9 in increasing order.
l, z, 9
Let m = 7 - 4. Let c = -49 - -49. Suppose -m*j + c - 3 = 0. Sort -2, -3, j in increasing order.
-3, -2, j
Let u = -8 - -3. Let o be 1 - (-3 - u)/2. Suppose -2*c + i = -o*i - 7, -5*i = 25. Put 0, -5, c in decreasing order.
c, 0, -5
Let j be 30*-1*18/(-108). Suppose u = 4*u - 12. Sort 12, j, u.
u, j, 12
Let h be (-3)/(0 - 6/(-8)). Let w = -37 - -42. Suppose 2*r + 10 = 0, -g + 0*r + 23 = -w*r. Sort g, h, -1 in decreasing order.
-1, g, h
Suppose -39 = -13*z - 52. Let q = 0 + 0. Put z, 1, q in decreasing order.
1, q, z
Suppose 210 = 32*p - 686. Put p, 2, -3, 5 in increasing order.
-3, 2, 5, p
Suppose 0 = 127*n - 97*n. Put n, -1, 215 in descending order.
215, n, -1
Suppose 42*q = 99 - 15. Put 0.075, q, -0.3 in decreasing order.
q, 0.075, -0.3
Let v be 3 + ((-6)/(-3))/1. Suppose 7 = -v*d + 22. Sort -2, -5, -4, d.
-5, -4, -2, d
Suppose 0 = -s + 2*s - 3. Sort 0, -12, s in increasing order.
-12, 0, s
Let a = -1520 + 1519.88. Put a, 5, -0.2 in ascending order.
-0.2, a, 5
Let y(u) = -u**2 - 9*u - 9. Let n be y(-8). Let s(m) = -9*m**2 + m + 1. Let r be s(n). Sort 2, r, 1, -4 in descending order.
2, 1, -4, r
Let y be -2*(-2)/(-4) + 1. Let p(w) = -w**2 - w - 4. Let m be p(y). Suppose 40 = 159*b - 179*b. Put b, m, 3 in descending order.
3, b, m
Suppose -5*w + 31 = -3*f, -7 = -w - 2*f + 3*f. Let u = -1.95 - 0.05. Suppose -35*j - 4 = -31*j - y, 0 = -2*y. Put w, u, j in decreasing order.
w, j, u
Let x(j) = -j**3 - 3*j**2 - 5*j - 4. Let v be x(-2). Suppose -2*r + 4 = v. Sort -4, -3, r, 4.
-4, -3, r, 4
Let v = 1 + 73. Let t = -74.5 + v. Let c = 2.4 + -2. Put t, -4/3, c in decreasing order.
c, t, -4/3
Suppose 0 = d + 4*d - 15. Suppose -5*w - d*z - 5 = 0, -z = 5*w - 3*z - 20. Let h be ((-360)/(-405))/((-2)/(-9)). Sort 0, w, h in descending order.
h, w, 0
Let j(v) = -v**2 - 18*v - 15. Let c be j(-17). Let h = 12 - c. Suppose -2*g = -0*g - h. Put -13, 1, g in ascending order.
-13, 1, g
Suppose a - 11 = -3*m - 4, 5*m = -5*a + 5. Let w = -381/10 - -77/2. Sort 0.5, w, a in increasing order.
a, w, 0.5
Let z = 39 + -38.7. Let y = -0.92 - -1.1. Let s = -0.82 - y. Sort -5/2, s, z in descending order.
z, s, -5/2
Let c(v) = 2*v - 7. Let j be c(4). Let x = 10 - 19. Sort x, j, 5.
x, j, 5
Let d = -13051 + 521997/40. Let c = 7/8 + d. Let l = 1686 - 1690. Sort l, c, 0.3 in ascending order.
l, c, 0.3
Let j = -3.9317 + -0.0683. Sort 26, j, 2, 0.2 in increasing order.
j, 0.2, 2, 26
Suppose -5*j = 4*w - 4, 3*w + 0*j = -3*j. Suppose c + 4*m - 19 = 0, 5 - 13 = -2*m. Sort w
|
{
"pile_set_name": "DM Mathematics"
}
|
(e) 0.4
c
What is the second biggest value in -162, 0, 0.1?
0
Which is the second biggest value? (a) 6/11 (b) -17 (c) -0.2 (d) -5 (e) 1/2
e
Which is the second biggest value? (a) 1/8 (b) 4 (c) 15.9 (d) 0.1 (e) -2/11
b
Which is the third smallest value? (a) 4 (b) -0.12 (c) 9 (d) -2/5 (e) -8/9
b
What is the second smallest value in 6, 4, 2/5, 0.1?
2/5
Which is the second smallest value? (a) 150 (b) -4 (c) -5/4 (d) 8 (e) 3
c
Which is the third biggest value? (a) 0.06 (b) 2/7 (c) 3
a
What is the second biggest value in 4, 0.08, -2/13, -4, -1.5?
0.08
What is the smallest value in 391, -0.11, 5?
-0.11
What is the third biggest value in -1, 3, -19, 0.01?
-1
What is the fourth biggest value in -2, 14/3, -3, 5?
-3
What is the second biggest value in -1.1, -2, 2/13, 0.4, -7?
2/13
Which is the second smallest value? (a) 2/5 (b) -0.06 (c) -4/5
b
Which is the fourth smallest value? (a) -4 (b) 0 (c) -3 (d) 4
d
Which is the second smallest value? (a) 0.1 (b) 3 (c) 2/5
c
What is the third smallest value in 6, 1.4, -5/2, -2/5?
1.4
What is the biggest value in -3, 5, 2/55, -0.4?
5
What is the third biggest value in -1, -0.03, -8?
-8
What is the biggest value in 1, 93, -0.4?
93
What is the fourth smallest value in -3, -6/5, 4, 0.048, -0.4?
0.048
What is the smallest value in 7, 15, 5, 0.1?
0.1
Which is the third biggest value? (a) -24 (b) -2/3 (c) -2/7 (d) 0.4
b
What is the smallest value in 0.4, 2, 0.08?
0.08
Which is the fourth smallest value? (a) 4 (b) -807 (c) -2/5 (d) 2/3
a
What is the second smallest value in -0.3, 1/8, 0.5, -2/299?
-2/299
Which is the second smallest value? (a) 3/29 (b) -3/7 (c) -0.3
c
What is the third biggest value in 3, 0.1, -2/19, 2/11, -1/4?
0.1
What is the smallest value in 0.5, 4, 29, 3?
0.5
Which is the third biggest value? (a) -113 (b) 3 (c) 0
a
What is the third smallest value in -2.8, -1, -1/3, 4?
-1/3
Which is the fifth biggest value? (a) -1/3 (b) -1 (c) -5 (d) -2 (e) -1/2
c
What is the smallest value in -0.5, 21, 2, 0.3?
-0.5
Which is the fourth biggest value? (a) 4 (b) -6 (c) 0.5 (d) -2
b
What is the fourth biggest value in 3, -17, -38, -0.1, 4?
-17
Which is the biggest value? (a) -258 (b) 0.4 (c) -1
b
Which is the third biggest value? (a) -2/5 (b) 0.01 (c) 6
a
What is the second smallest value in -0.1, 4/11, 2, -2.9?
-0.1
What is the fourth biggest value in 4, 2/5, 0.1, -22/3?
-22/3
What is the biggest value in -0.1, -2/13, 4/9, -3?
4/9
What is the third smallest value in 0.5, 27, -2?
27
What is the fifth smallest value in -0.1, 34, -1, -0.3, 0.06?
34
Which is the third smallest value? (a) -1 (b) 2 (c) 0 (d) 3
b
Which is the third smallest value? (a) -0.1 (b) -1/3 (c) 25 (d) 2/25
d
Which is the second biggest value? (a) 255 (b) -4 (c) 2/11 (d) 2/5
d
Which is the third biggest value? (a) 5 (b) 0.04 (c) 1 (d) 44
c
Which is the third smallest value? (a) 0.4 (b) -21.11 (c) 2/3
c
Which is the fourth smallest value? (a) -0.4 (b) -1 (c) 1.26 (d) 4/7
c
What is the fourth smallest value in -7/3, -0.1, -5/3, 1?
1
What is the fourth smallest value in -4, -2.4, -2, 6?
6
What is the second smallest value in -0.2, 1891, -1/3?
-0.2
Which is the fifth smallest value? (a) 0.1 (b) 0 (c) 9 (d) 2 (e) -1
c
Which is the biggest value? (a) 1/5 (b) -1/15 (c) -0.2
a
Which is the second smallest value? (a) -1/4 (b) 0 (c) -5 (d) -10/11 (e) -2
e
Which is the smallest value? (a) 0.2 (b) -5 (c) 0 (d) -0.1 (e) -632
e
What is the biggest value in 0, -2/23, 5?
5
What is the second biggest value in 17, -2, -3, -0.3?
-0.3
What is the second smallest value in -3/5, 1/6, 0, -2/5?
-2/5
What is the third biggest value in -3, -1/4, -0.357?
-3
What is the third biggest value in 1/5, -0.12, 43?
-0.12
Which is the third biggest value? (a) 2 (b) 1/4 (c) -0.4 (d) 2.8
b
Which is the smallest value? (a) 1/2 (b) -59 (c) -4
b
What is the biggest value in -0.2, 245, -3/8, 4/7?
245
What is the fourth smallest value in 1, -2, -2/7, 4?
4
Which is the second smallest value? (a) -1 (b) 0 (c) 0.0542 (d) -2
a
What is the second biggest value in -2, 1, -3/5, 4?
1
Which is the smallest value? (a) -0.4 (b) -0.1 (c) -8.8 (d) 0.1
c
What is the third biggest value in -5/6, -0.1, -0.58?
-5/6
Which is the biggest value? (a) -2/13 (b) 0 (c) -51 (d) 1/5
d
Which is the smallest value? (a) -2/9
|
{
"pile_set_name": "DM Mathematics"
}
|
8)*-3)/(6/(-27))?
3/2
Calculate (22/11*3)/(-3).
-2
What is the value of 4*((-2)/(-6))/(14/(-21))?
-2
(-36)/(-135)*4/8
2/15
Evaluate 15/2*22/55.
3
What is (9/(-2))/(3/(-10)*5)?
3
Evaluate (-4)/((-16)/(-12))*(-2)/16.
3/8
What is (((-3)/(-16))/(69/92))/(-1)?
-1/4
Evaluate (1*(-9)/(-3))/(252/42).
1/2
What is (8/(-10))/(((-80)/50)/(-8))?
-4
Calculate (9/(45/10))/(-2).
-1
6*((-120)/(-12))/450
2/15
Evaluate (-24)/16*160/48.
-5
(4/((-80)/12))/(4/20)
-3
What is the value of (-32)/264*9/6?
-2/11
What is the value of ((-4)/(-112))/((-4)/(-14))?
1/8
What is (-18)/45*(-10)/28?
1/7
Evaluate (4*7/42)/(9/6).
4/9
What is the value of (7/((-756)/3))/(9/(-72))?
2/9
What is ((-176)/484)/(1/11)?
-4
What is the value of 0/2*1/(-4)*2?
0
Evaluate 3/1*2*(-9)/18.
-3
Calculate ((-66)/231)/(3*3/7).
-2/9
What is the value of (3/30)/(17/170)?
1
Evaluate ((-14)/((-504)/(-27)))/(300/32).
-2/25
What is the value of -9*(-19)/((-2052)/48)?
-4
What is the value of (-8)/(-3)*3/(-2)?
-4
Calculate ((-1)/3)/(2/24).
-4
1/((12/(-9))/(-4))
3
What is the value of (-2)/(-1)*6/12*-4?
-4
((-3)/(-18))/(3/(-6))
-1/3
Evaluate 2/(-2*3/(-12)).
4
16/(-28)*-3*(-35)/(-390)
2/13
Calculate (-3)/(-12)*-1*-1.
1/4
Evaluate -10*2*(-5)/25.
4
Calculate (-4)/52*-13*-2.
-2
What is the value of (-1)/(((-56)/(-8))/28)?
-4
What is 2*10/(-20)*1/(-5)?
1/5
What is the value of 32/16*6/6?
2
Evaluate (6/(-8))/((-9)/(-8)).
-2/3
(2/(-15))/((-10)/(-10))
-2/15
Calculate (-4)/16*-4*6/(-3).
-2
What is ((-45)/(-210))/(36/14)?
1/12
Evaluate 48/28*-1*(-7)/2.
6
What is the value of (-1)/(3/18)*(-2)/(-3)?
-4
((-80)/(-10))/(-8)*-7
7
(8/16)/(1/(-4))
-2
What is the value of (-23)/((-322)/4)*14?
4
What is (8/(-12))/(16/(-16))?
2/3
Evaluate (10/4)/((1995/252)/(-19)).
-6
Evaluate (6/(-640)*-8)/((-6)/(-5)).
1/16
What is 3/2*20/(-75)?
-2/5
Calculate ((-10)/12)/(855/(-228)).
2/9
12/15*40/(-112)
-2/7
Evaluate (80/(-600))/((-4)/(-6)).
-1/5
Calculate 1/(8/(-10))*(-9)/(-15).
-3/4
(-70)/(-21)*4/(-20)
-2/3
(1*8/20)/(21/(-35))
-2/3
What is (3/(-5))/((-4)/20)?
3
Calculate (-75)/100*(-15)/(-9).
-5/4
What is the value of (1*-3)/((-27)/(-36))?
-4
Calculate (-8)/5*4/(24/(-15)).
4
Evaluate (-3*(-3)/(-6))/((-3)/6).
3
((-26)/(-117))/((-3)/(-81))
6
Evaluate ((-49)/196)/((-1)/1).
1/4
What is (-120)/150*(-5)/(-6)?
-2/3
Evaluate ((-14)/56)/(2/(-40))*-2.
-10
Calculate (-43)/129*(-1)/(1/(-9)).
-3
What is the value of (-2)/(-6*(-6)/(-6))*-1?
-1/3
Calculate (0/8*1/(-1))/(-4).
0
What is 5/(-10)*4*-2?
4
Calculate (4/10)/(252/(-60))*3.
-2/7
What is ((-285)/342)/((-2)/(-12))?
-5
What is the value of 120/24*(-1)/1?
-5
Evaluate ((-156)/65)/(-3*(-2)/15).
-6
What is the value of 3*(-5)/15*6?
-6
What is the value of (12/(-20))/((-2)/(-30)*3)?
-3
What is ((-16)/(-3))/(-2)*(-20)/40?
4/3
What is the value of 1/(-6)*0/3?
0
What is the value of (3/(-30)*-1)/((-6)/(-12))?
1/5
(3*(-12)/(-9))/(6/3)
2
(70/10)/(2/2*-1)
-7
Calculate (4/8)/(18/36).
1
What is the value of 36/9*6/(-84)?
-2/7
Evaluate (-3)/45*(-4)/(-8)*3.
-1/10
What is 132/429*(-13)/6?
-2/3
((-7)/(-42))/(1/(-2))*2
-2/3
What is 35/182*(-2)/(-10)*-2?
-1/13
What is (-30)/10*1/1?
-3
(8*(-7)/(-42))/((-6)/27)
-6
What is the value of 147/(-126)*8/14?
-2/3
Evaluate 1/((-3)/(-3)*-1).
-1
Evaluate ((5/(-20)*-4)/1)/1.
1
What is the value of ((2*-3)/(-3))/(16/2)?
1/4
Calculate (3/(-27))/((-1)/(-3)).
-1/3
What is (1/1)/1*134/(-134)?
-1
0/(-1)*(10/(-2))/(-20)
0
3/(-30)*25/(-15)
1/6
Calculate (-1*(-2)/(-6))/(924/504).
-2/11
(-371)/(-106)*(-1)/(-14)
1/4
(9/3)/(-3*(-2)/(-4))
-2
What is 2/((-8*1)/((-32)/(-16)))?
-1/2
What is 24/(-40)*2*20/(-144)?
1/6
Evaluate (126/12)/3*(-16)/(-14).
4
4*(-8)/((-256)/28)
7/2
Calculate ((32/(-12))/(-2))/((-2)/6).
-4
(6/(-8))/((-1)/(-16)*4)
-3
Evaluate 91/(-182)*0/(-2).
0
Calculate (0/10)/(4/(-4)).
0
What is ((-171)/(-190))/((-6)/5)?
-3/4
Evaluate (-1)/((280/(-7))/8).
1/5
Calculate ((30/2)/30)/(1/(-12)).
-6
Calculate 21/49*2/3.
2/7
What is the value of 13/(260/8)*1?
2/5
What is -8*9/(-4)*2/4?
9
What is the value of (2/4)/((-12)/(-18))?
3/4
Evaluate ((-12)/154)/(3/(-21)).
6/11
What is the value of ((-12)/18)/(-1*2/(-12))?
-4
Calculate (-4*2/(-132))/(39/351).
6/11
What is (280/490)/(1/7)?
4
What is 6*(-7)/84*(-6)/4?
3/4
What is the value of (10/(-90))/(2*7/(-56))?
4/9
(-70)/42*-6*2/30
2/3
(-1)/(-3*(-6)/(-45))
5/2
What is 18/(-63)*((-14)/(-17))/(-2)?
2/17
What is the value of (9*14/(-735))/((-2)/(-5))?
-3/7
What is the value of (-15)/(-9)*((-18)/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
st to 10/7 in -5, h, -0.4?
h
Let z = 3.23 - -0.07. Let t = 2.8 - z. Let y = 4 - 5/2. What is the nearest to y in 3, -0.2, t?
3
Let o be (187/(-1111))/(8/5). Let r = o + -2/101. Which is the nearest to -1? (a) r (b) 4 (c) -0.1
a
Suppose 4*n = 5*w + 7*n - 17, -8 = -2*n. Let i = -10/13 - -96/91. Which is the closest to 0.1? (a) w (b) 2 (c) i
c
Let m = -3.647 + 3.32. Let g = m + -0.073. What is the nearest to -1/4 in 7, 1/3, g?
g
Let l = -13 + 13. Which is the closest to -2/5? (a) -0.1 (b) l (c) -1/5 (d) -0.02
c
Let k = 1.74 - 1.75. Which is the closest to 2/5? (a) 4 (b) 6 (c) k
c
Let b be ((-26)/78)/(3/(-36)). Let n = 3.2 + -3. What is the nearest to -0.1 in n, b, 0.3?
n
Let x = 31.25 + -27. Let j = x - 0.25. What is the nearest to -1/2 in 1, j, -1/2?
-1/2
Let j(q) = 4*q**2 + 7*q + 7. Let i be j(-5). Let d be (-4)/(-18) + 128/i. Which is the closest to -2/7? (a) d (b) -3 (c) -0.1
c
Let g = 822 + -820. Which is the nearest to g? (a) 2/25 (b) -3/4 (c) 1 (d) -5
c
Let s = -2925 - -2930. Let w = -0.9 - -1. Let g = -10 + 16. What is the closest to w in s, -5, g?
s
Let i = 11 + -7. Let k be 4/14 - (9 + (-2532)/252). What is the nearest to -1 in i, k, -1?
-1
Let j = 1.1 + -0.1. Let o be 17/(-136) - (-23)/(-8). Let i be (2 - 2) + 3/5. Which is the nearest to j? (a) o (b) i (c) -1/7
b
Let r = -253 + 253.159. Let y = r - 0.059. What is the closest to y in 0.2, -10, -2?
0.2
Let p be 16/6 + (-4)/6. Let m be (-136)/(-84) - (-176)/462*(-6)/8. What is the nearest to 2/9 in m, 0, p?
0
Let d = -6.9 - -6.6. Let h be (3/(-8))/((-6)/(-4)). Which is the closest to h? (a) -5/3 (b) d (c) 2
b
Let z = -3.33 - 4.67. Which is the closest to 0.2? (a) -5/2 (b) z (c) -4
a
Let i = -0.1841 + 0.0841. Let c = -2.8 + -1.1. Let p = -4 - c. What is the nearest to i in p, -2/3, -5?
p
Let y = -17/48 + 1/48. Which is the nearest to 3/8? (a) y (b) -2 (c) 0.5
c
Let i = 326.9 + -326.6. Let h = -0.31 + 0.3. Which is the nearest to 1? (a) i (b) h (c) 4
a
Let u = -21/88 + 27/44. Let h = 8 + -4. Which is the closest to 0.2? (a) u (b) 0 (c) h
a
Let t = 135.06 - 133. Let q = 0.06 - t. Which is the nearest to q? (a) 0.1 (b) 2/7 (c) 2
a
Let n = -211 + 209. What is the nearest to -0.5 in 3/7, -0.4, n, 2?
-0.4
Let t = -2.96 + 3. Let m = 0.6586 - 0.7586. What is the closest to m in 0.3, t, 0.2?
t
Let m = 19/198 - 5/18. What is the closest to -1 in 1/2, m, -0.3, 1?
-0.3
Let m = 8 - -3. Let o be (4 - 2)*(-43)/215. What is the closest to 0.2 in o, m, 0.2?
0.2
Let t = -31 + 37. Suppose 4*v + 4 = t*v. What is the nearest to 0 in 0.4, v, -1/3?
-1/3
Let p be (6/9)/((-10)/(-6)). Which is the closest to 0? (a) p (b) 0.3 (c) -1/2
b
Let t = -38.5 + 39. Suppose 5*x = 4*x. Which is the nearest to -2/7? (a) 5 (b) x (c) t
b
Suppose t + 2*t - 15 = 0. Let z = 3.3302 - 1.3302. What is the closest to z in -4/7, t, 1/15?
1/15
Let b = -0.1022 + 5.1022. What is the nearest to 0.1 in 0.2, 44, b?
0.2
Let i = -0.11 - 25.89. Let o = i + 26.2. Which is the closest to -0.3? (a) -1 (b) -1/6 (c) o
b
Let z = -69 - 5. Let n = z - -73. Let g be (0 + 1/(-8))/(-1). Which is the nearest to n? (a) 3/2 (b) 5 (c) g
c
Let q = -483 - -482. Which is the nearest to q? (a) -5 (b) -0.5 (c) -0.2
b
Let l = 1072 - 1071.956. Which is the nearest to 0? (a) l (b) -5 (c) 1/3 (d) 1
a
Let a = -0.45 + -0.15. Let t = a + 3.6. What is the nearest to -1 in t, -0.3, 1?
-0.3
Let q(f) = 2*f + 7*f - 3*f**2 + 0*f**2 - 6 + 4*f**2. Let l be ((-2)/2)/((-4)/(-40)). Let w be q(l). What is the nearest to 5 in -0.2, -2, w?
w
Let t = 64 + -62. What is the closest to 1 in 0.05, t, 1/2?
1/2
Let q = -19.98 - -20. What is the closest to -2 in 1/3, q, 0.3?
q
Let m = 1946 + -1947. Let y be 0 + 2 - (-1)/(-2). What is the closest to m in y, 0.2, -5?
0.2
Let u = 168 + -170. Let p = 0.5 + 0. Which is the nearest to 0.3? (a) u (b) -0.5 (c) p
c
Let y be (-6)/(-11)*(-1)/3. Let v be ((-2)/(-2))/((-12)/(-216)*153). Which is the nearest to 2/7? (a) v (b) -5/3 (c) y
a
Let r be 18/24 + 13/(-28). Suppose j + 4*q = -13, -4*q = -4*j - 27 + 55. What is the nearest to 2/5 in 1/4, j, r?
r
Let q = 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
least common multiple of 40 and 179831632?
899158160
Calculate the smallest common multiple of 112266744 and 246199.
112266744
What is the common denominator of 61/2920 and 59/80246?
117159160
What is the common denominator of 51/596557 and 24/101?
60252257
Calculate the smallest common multiple of 317208621 and 2.
634417242
What is the common denominator of 125/168 and 46/2306073?
18448584
Find the common denominator of 77/755780 and 109/2900.
109588100
Find the common denominator of -37/2883492 and 43/1922328.
5766984
Find the common denominator of 57/22 and -17/7154912.
78704032
Calculate the lowest common multiple of 2691856 and 2018892.
8075568
Calculate the common denominator of -49/7678 and 41/35104.
134764256
Calculate the common denominator of -11/635697 and 46/1221.
6992667
Calculate the least common multiple of 38 and 225262.
4279978
Calculate the common denominator of -103/95208642 and 179/270.
476043210
Find the common denominator of 145/4119324 and 97/484.
4119324
Calculate the least common multiple of 2554468 and 364.
33208084
What is the lowest common multiple of 1386450 and 92430?
1386450
Find the common denominator of -71/20535 and -83/59570.
6612270
What is the common denominator of -79/9094144 and -39/428?
9094144
What is the smallest common multiple of 7816853 and 1133?
805135859
What is the common denominator of -62/7388445 and 11/137425077?
687125385
What is the smallest common multiple of 4997520 and 209088?
659672640
Calculate the smallest common multiple of 10527832 and 1036.
10527832
Find the common denominator of -71/783432 and -31/18.
783432
Find the common denominator of 115/1286166 and -107/1512.
46301976
Calculate the common denominator of 21/7592020 and -131/3796010.
7592020
Calculate the lowest common multiple of 3180654 and 62435060.
1685746620
Calculate the common denominator of 13/84 and 46/59993871.
239975484
What is the common denominator of -61/358092 and 113/49392?
1432368
Calculate the smallest common multiple of 24456 and 144.
146736
Calculate the common denominator of -64/9 and 6/8389817.
75508353
What is the common denominator of -109/14112 and -109/6459768?
25839072
Calculate the smallest common multiple of 458 and 53432570.
53432570
What is the common denominator of 17/625484 and 89/10320486?
20640972
Find the common denominator of -115/1111662 and 70/84663.
25568226
Find the common denominator of 71/1365810 and 143/1144800.
983383200
What is the common denominator of 1/20492 and -61/4324?
471316
Find the common denominator of 93/1180820 and -67/3680.
9446560
Calculate the lowest common multiple of 84 and 5544476.
16633428
What is the common denominator of 17/110060342 and 29/15722906?
110060342
Calculate the common denominator of 113/5718658 and 71/2599390.
28593290
What is the least common multiple of 997694 and 328?
3990776
What is the common denominator of -37/54633319 and 1/1659?
1147299699
Calculate the least common multiple of 4756 and 338496.
9816384
Calculate the smallest common multiple of 18559596 and 12373064.
37119192
Calculate the smallest common multiple of 1230584 and 6614389.
52915112
Calculate the least common multiple of 6716836 and 111792.
80602032
What is the smallest common multiple of 157572 and 53469432?
160408296
What is the lowest common multiple of 2886843 and 379?
2886843
What is the least common multiple of 14 and 971585284?
6801096988
Calculate the common denominator of 7/45797774 and 21/5335.
228988870
What is the common denominator of 89/22128 and 50/123087?
1969392
Find the common denominator of -97/9354840 and 167/660.
9354840
What is the lowest common multiple of 67245297 and 67245297?
67245297
Calculate the least common multiple of 7952566 and 2.
7952566
What is the least common multiple of 10920 and 3423?
1779960
Calculate the common denominator of 133/34831476 and 39/10.
174157380
What is the lowest common multiple of 1171720 and 878790?
3515160
Find the common denominator of -59/156375 and 2/22549275.
112746375
What is the lowest common multiple of 555493053 and 30?
5554930530
Calculate the smallest common multiple of 10137 and 23284689.
23284689
What is the common denominator of 38/55301 and -46/493?
1603729
What is the common denominator of 33/82 and 29/628060?
25750460
Calculate the common denominator of -23/6113972 and -43/190.
30569860
Calculate the common denominator of -71/16562376 and 1/30364356.
182186136
Find the common denominator of 113/1755828 and -41/90.
8779140
What is the smallest common multiple of 861520 and 646140?
2584560
Find the common denominator of -1/368672 and -79/92168.
368672
Calculate the lowest common multiple of 278070 and 5865.
4727190
What is the lowest common multiple of 2653686 and 420?
26536860
What is the common denominator of 8/5008239 and -109/5574?
10016478
What is the smallest common multiple of 72219 and 3024510?
402259830
What is the lowest common multiple of 52239 and 759?
1201497
Calculate the smallest common multiple of 7759800 and 20.
7759800
What is the common denominator of 79/1140 and -163/620010?
23560380
Calculate the lowest common multiple of 28 and 40938.
573132
What is the lowest common multiple of 15161497 and 678873?
45484491
Calculate the common denominator of -11/46923597 and -111/5110.
469235970
Calculate the least common multiple of 4032 and 790317.
354062016
Calculate the lowest common multiple of 1499512 and 1927944.
13495608
Calculate the common denominator of -57/8778104 and 3/601240.
43890520
What is the smallest common multiple of 72105 and 4455?
1946835
Find the common denominator of 119/1770708 and 76/567.
334663812
Calculate the lowest common multiple of 2280508 and 27476.
2280508
Calculate the lowest common multiple of 3906 and 2116308.
44442468
Calculate the least common multiple of 2473311 and 3.
2473311
Calculate the least common multiple of 8346690 and 590.
492454710
What is the common denominator of 79/307984448 and 61/19249028?
307984448
Calculate the least common multiple of 63492 and 126984.
126984
Find the common denominator of -163/1953072 and 79/126.
13671504
What is the least common multiple of 13413520 and 2996?
93894640
What is the least common multiple of 4204264 and 525533?
4204264
Calculate the smallest common multiple of 6160 and 452410.
39812080
What is the common denominator of 26/3377013 and 61/474?
6754026
What is the lowest common multiple of 23590 and 1877090?
13139630
Calculate the least common multiple of 91558434 and 1126180.
915584340
Calculate the least common multiple of 180413168 and 157861522.
1262892176
What is the common denominator of 29/3432 and 191/2730?
120120
What is the smallest common multiple of 84390 and 415570?
120930870
Calculate the common denominator of 12/35591387 and 23/1610
|
{
"pile_set_name": "DM Mathematics"
}
|
761383?
p**2 + 2*p - 261761407
What is the f'th term of -1367331, -2734658, -4101985?
-1367327*f - 4
What is the f'th term of -15000399, -30000795, -45001193, -60001593?
-f**2 - 15000393*f - 5
What is the k'th term of -20060249, -20060256, -20060265, -20060276, -20060289, -20060304, -20060321?
-k**2 - 4*k - 20060244
What is the d'th term of -574543, -574551, -574561, -574573, -574587?
-d**2 - 5*d - 574537
What is the l'th term of 86590, 84029, 79760, 73783, 66098, 56705?
-854*l**2 + l + 87443
What is the s'th term of -188637368, -188637369, -188637370, -188637371?
-s - 188637367
What is the r'th term of 179, 805, 2015, 3941, 6715, 10469, 15335?
22*r**3 + 160*r**2 - 8*r + 5
What is the o'th term of -11862214, -11862201, -11862188, -11862175, -11862162?
13*o - 11862227
What is the w'th term of -5129411, -5129415, -5129421, -5129429?
-w**2 - w - 5129409
What is the i'th term of -515843, -1031873, -1548091, -2064497, -2581091, -3097873, -3614843?
-94*i**2 - 515748*i - 1
What is the z'th term of -4013326, -8026609, -12039892, -16053175?
-4013283*z - 43
What is the x'th term of 3874, 2908, 1890, 820, -302, -1476, -2702?
-26*x**2 - 888*x + 4788
What is the h'th term of 3835, 7901, 11967?
4066*h - 231
What is the a'th term of -1202, -733, -16, 943, 2138, 3563, 5212?
-a**3 + 130*a**2 + 86*a - 1417
What is the m'th term of -74474, -74437, -74378, -74297, -74194, -74069?
11*m**2 + 4*m - 74489
What is the h'th term of 15798, 31277, 46750, 62217, 77678, 93133, 108582?
-3*h**2 + 15488*h + 313
What is the x'th term of -5404360, -10808623, -16212884, -21617143, -27021400, -32425655, -37829908?
x**2 - 5404266*x - 95
What is the k'th term of 9512, 19079, 28632, 38171, 47696, 57207?
-7*k**2 + 9588*k - 69
What is the l'th term of -9067, -3395, 2277?
5672*l - 14739
What is the f'th term of -3491, -3517, -3551, -3587, -3619, -3641, -3647?
f**3 - 10*f**2 - 3*f - 3479
What is the p'th term of -15002, -18128, -21254, -24380, -27506?
-3126*p - 11876
What is the b'th term of -1846, -6769, -14886, -26125, -40414, -57681, -77854, -100861?
12*b**3 - 1669*b**2 - 189
What is the n'th term of 13665, 13696, 13769, 13902, 14113, 14420, 14841?
3*n**3 + 3*n**2 + n + 13658
What is the h'th term of -8753, -35230, -79429, -141350, -220993?
-8861*h**2 + 106*h + 2
What is the k'th term of 479974780, 479974783, 479974788, 479974795, 479974804, 479974815?
k**2 + 479974779
What is the y'th term of 11894360, 23788722, 35683084, 47577446?
11894362*y - 2
What is the z'th term of 76966, 77144, 77402, 77740, 78158, 78656?
40*z**2 + 58*z + 76868
What is the n'th term of 31232, 31428, 31950, 32960, 34620, 37092, 40538, 45120?
27*n**3 + n**2 + 4*n + 31200
What is the v'th term of 34563, 52905, 71247?
18342*v + 16221
What is the u'th term of -37600, -76934, -118004, -160810, -205352, -251630?
-868*u**2 - 36730*u - 2
What is the h'th term of -1147509, -4590052, -10327619, -18360210, -28687825, -41310464?
-1147512*h**2 - 7*h + 10
What is the w'th term of -516860, -1033741, -1550622, -2067503, -2584384?
-516881*w + 21
What is the i'th term of 227532849, 227532848, 227532847, 227532846, 227532845, 227532844?
-i + 227532850
What is the v'th term of 37055, 37080, 37109, 37142, 37179, 37220?
2*v**2 + 19*v + 37034
What is the a'th term of -65396379, -65396376, -65396373?
3*a - 65396382
What is the d'th term of -5353, 12806, 30955, 49088, 67199, 85282, 103331, 121340?
-d**3 + d**2 + 18163*d - 23516
What is the i'th term of -4220325, -4220405, -4220485, -4220565, -4220645, -4220725?
-80*i - 4220245
What is the f'th term of -10283223, -10283242, -10283261, -10283280, -10283299, -10283318?
-19*f - 10283204
What is the k'th term of -566, 12, 832, 1894, 3198?
121*k**2 + 215*k - 902
What is the x'th term of 133592, 257634, 381674, 505712, 629748?
-x**2 + 124045*x + 9548
What is the h'th term of -9427214, -9427196, -9427176, -9427154?
h**2 + 15*h - 9427230
What is the q'th term of 12465626, 12465640, 12465670, 12465722, 12465802?
q**3 + 2*q**2 + q + 12465622
What is the z'th term of -369526, -739102, -1108732, -1478416, -1848154, -2217946?
-27*z**2 - 369495*z - 4
What is the s'th term of 34426877, 34426909, 34426963, 34427039, 34427137, 34427257?
11*s**2 - s + 34426867
What is the y'th term of 7906, 28300, 61182, 106552, 164410, 234756?
6244*y**2 + 1662*y
What is the o'th term of -912, -1310, -1702, -2082, -2444, -2782, -3090, -33
|
{
"pile_set_name": "DM Mathematics"
}
|
) -1/5 (c) 0
c
Let i be ((-2)/(-12))/((-4)/(-6)). Let a = 51.46 + -51. Let h = -0.04 - a. What is the nearest to 1/3 in 2/5, h, i?
2/5
Let c = 1.06 - 3.06. What is the nearest to -0.2 in 2, c, -2/13, 2/21?
-2/13
Let o = -0.32 - -0.21. Let n = o + -0.29. Let k = n - -5.4. Which is the nearest to -0.3? (a) -2 (b) 3/5 (c) k
b
Let w be (-3)/9 + 36/27. Let i = -239/962 + 7/74. Which is the closest to -0.1? (a) 2/11 (b) w (c) i
c
Let i = 34 + -34.4. Let p = -7 - -3. What is the nearest to 2 in i, p, 3?
3
Let x = -4.998 - 0.002. Which is the nearest to -1? (a) 0.4 (b) 3/2 (c) x (d) 6
a
Let q = 5213.1 - 5213. Let z = 0.6 - -3.4. Let r = 3.1 + -3. Which is the nearest to r? (a) -0.1 (b) q (c) z
b
Let k be (30/(-25))/(4/(-10)). Which is the nearest to 0.2? (a) 0 (b) -2/9 (c) k
a
Let k = 941.7 - 942. Which is the nearest to -5? (a) k (b) 3 (c) -5 (d) -2/9
c
Let s = 0.08 - 1.98. Let f = s - -0.9. Which is the nearest to -2/5? (a) f (b) 1 (c) -4
a
Let u(y) = y**2 + 3*y + 3. Let o be u(-2). Let l = 31.9 + -32. Which is the nearest to -0.2? (a) o (b) -1/2 (c) l
c
Let o = 299 + -299.4. Which is the nearest to -1/7? (a) 0.3 (b) -12 (c) 5 (d) o
d
Let k = -2.94 + 2.94. What is the closest to k in 1, -0.5, 5/9?
-0.5
Let n = 8.5 + -4.5. Let s = -0.8 - -4.8. Let v = 3 - s. What is the closest to v in n, -3, 0.1?
0.1
Let l = 0.872 + -1.272. What is the nearest to 1 in l, 1/2, -6, 5?
1/2
Let f = -686 + 681. Let l = 0.27 - -0.03. Suppose 0 = -k - 2 + 3. Which is the nearest to k? (a) l (b) f (c) 0
a
Let p = 1.355 - -0.645. What is the nearest to p in 2, 0.2, 1/2?
2
Let i = 13 - 6. Let s be (-16)/i - (-5 + 3). Let y be 4/4*3*-1. Which is the closest to -1? (a) -2/9 (b) s (c) y
b
Let x = -305 + 302. What is the closest to 1 in 0.1, x, 36?
0.1
Let x = -7.6 + -63.4. Let i = 71.5 + x. What is the closest to -2/23 in i, -0.1, 4?
-0.1
Let v = -0.15 - 1.85. Suppose -2*s + 16 = 4*j, s - 16 = -3*s. What is the nearest to v in j, 0, -0.3?
-0.3
Let i = -0.593 - -1.093. Let o = -3.3 - 0.7. Which is the closest to -1/4? (a) -15 (b) i (c) o
b
Let h = 777 + -769. What is the closest to -10 in h, 0.4, -0.5?
-0.5
Let h = -19/2 - -10. Let j = 382.9 + -383. Which is the nearest to j? (a) h (b) 9 (c) -5
a
Let j = 711 + -710. Which is the closest to 1/8? (a) -4 (b) 1/9 (c) 5/6 (d) j
b
Let n = 0.13 - 0.03. Let c = 223 - 2901/13. What is the closest to 1 in 5, n, c?
n
Let a be (2/(-3))/((-10)/(-885)). Let i = -179/3 - a. Let p(k) = -k**3 + 3*k**2 + 3*k - 1. Let c be p(4). What is the closest to i in 0.3, 3/2, c?
0.3
Suppose 3*r = 3*l - 4 - 8, 19 = 4*l - 5*r. Let b = 551.3 + -551. What is the closest to l in 2/9, b, -4?
b
Let x = -9 + 9.1. Let g = 585/4193 + 2/599. What is the closest to 1 in g, x, 0?
g
Let p = 0.6 + -104.6. Let w = 106 + p. Let u = -1 - -0.6. What is the closest to w in -0.3, u, 4?
4
Let x = 214.64 + -214.6. What is the closest to 0.1 in -0.4, 4, 0.1, x?
0.1
Let h = -2 + 5. Let v = -0.0811 - 0.0189. What is the closest to v in h, -0.11, 0?
-0.11
Let q = 3.149 - 0.453. Let y = q - -0.004. Let d = y + -3. Which is the closest to -1? (a) 5 (b) -1/11 (c) d
c
Let t = 170 + -170.4. Which is the nearest to 0.3? (a) 0.3 (b) t (c) 4
a
Let g(h) = h**3 + 8*h**2 - 19*h - 25. Let f be g(-9). What is the nearest to f in 2, 2/5, -4, -2?
2
Let y be ((-5)/((-50)/(-20)))/14. Which is the nearest to 1? (a) -5 (b) -1 (c) y (d) 2.9
c
Let f = -54/19 - -340/133. Which is the closest to 1? (a) f (b) -8/9 (c) 4
a
Let l = -3.32 - -3.61. Let g = 77 + -77.71. Let y = g - l. What is the closest to -1 in -4/7, 0.2, y?
y
Let m = 672 + -683.2. Let v = -0.06 - 10.94. Let u = v - m. Which is the nearest to u? (a) 2/13 (b) 2/5 (c) -0.5
a
Let p = 6 - 10. Let q = -3 - p. Let o be -1 - 16/(-20) - (-4)/5. Which is the closest to q? (a) -4 (b) -0.1 (c) o
c
Let r = 13.7 + -14. Let d = r + 0.6. Suppose 40 = 5*i - 5*j, 4*j = -i + 3*j. Which is the nearest to -0.1? (a) i (b) d (c) -0.1
c
Let x = 22 - -18. Let r = -10 + x. Let q be 32/r + 10/(-15). What is the closest to -
|
{
"pile_set_name": "DM Mathematics"
}
|
-6). Factor 36*j**2 - 8*j - h - 4 - 38*j**2.
-2*(j + 2)**2
Suppose -u + 2*x + 855 = 847, 4*u = x + 11. Factor -32*v - 1/2*v**3 - 8*v**u + 0.
-v*(v + 8)**2/2
Let d(y) be the first derivative of -y**4/24 + 94*y**3/9 - 2300*y**2/3 + 16928*y/3 - 222. Factor d(h).
-(h - 92)**2*(h - 4)/6
Let d = -10966 + 10969. Let q(t) be the first derivative of 3/8*t**2 - 1/3*t**d + 10 + 1/4*t. Determine v, given that q(v) = 0.
-1/4, 1
Let g(c) = -2004*c + 84170. Let u be g(42). What is x in -33/4 + 33/4*x**u - 3/4*x**3 + 3/4*x = 0?
-1, 1, 11
Suppose -92/3*w**2 - 2/3*w**3 - 1216/3 - 640/3*w = 0. What is w?
-38, -4
Let y(n) = 15 + 34 - 2*n - 3 - 8. Let l be y(18). Find f such that 2*f + l*f**3 + 0*f**2 + 85 - 4*f**2 - 85 = 0.
0, 1
Find k, given that -2/7*k**2 - 2944/7 + 1476/7*k = 0.
2, 736
Let t(k) be the first derivative of 2*k**6 + 112*k**5/5 + 48*k**4 - 56*k**3/3 - 102*k**2 - 56*k - 6635. Solve t(p) = 0 for p.
-7, -2, -1, -1/3, 1
Let j = 3600 + -3593. Let b(g) be the second derivative of 0 + 1/5*g**6 - 3/20*g**5 + 0*g**4 - 12*g + 0*g**3 + 0*g**2 - 1/14*g**j. Factor b(a).
-3*a**3*(a - 1)**2
Let h(g) be the third derivative of 0 + 2*g + 0*g**3 - 40*g**2 + 1/30*g**5 + 2/21*g**4 - 1/420*g**6. Factor h(z).
-2*z*(z - 8)*(z + 1)/7
Suppose 76663 - 19255 = 23*u. Let k be 996/u - 6/(-96). Factor -k*o**2 + 0 - 16/13*o.
-2*o*(3*o + 8)/13
Let a(h) = -24*h**3 + 438*h**2 + 778*h - 216. Let v(b) = -20*b**3 + 435*b**2 + 777*b - 217. Let u(x) = 3*a(x) - 4*v(x). Solve u(n) = 0 for n.
-2, 1/4, 55
Let r = 12346 + -12306. Let z(g) be the second derivative of 0*g**2 + 1/15*g**3 - r*g + 0 - 13/60*g**4. What is y in z(y) = 0?
0, 2/13
Let r(i) = 11*i**4 + 5*i**3 - 13*i**2 - 68*i + 60. Let k(a) = -2*a**4 + 3*a. Let c(t) = -5*k(t) - r(t). Find h such that c(h) = 0.
-5, -4, 1, 3
Let g be (-166)/(-6) + (551 - 34)/(-47). Let x(k) = -k**2 + k + 2. Let y be x(2). Solve 6*c**4 + y + 8*c**2 + g*c**3 - 8/3*c = 0.
-2, -1, 0, 2/9
Suppose 4*z - 498 = -2. Determine s, given that 3 + z*s + 27*s**3 - 3*s**5 - s**2 + 34*s**2 - 112*s - 3 + 3*s**4 = 0.
-1, 0, 4
Suppose -38*p = -47*p + 45. Suppose 5*z - 8*g + 2 = -10*g, 5*g + p = 4*z. Factor 9/7*f**3 + 6/7*f + z + 15/7*f**2 - 3/7*f**5 - 3/7*f**4.
-3*f*(f - 2)*(f + 1)**3/7
Suppose -2*p + 3328 = -18*p. Let v = 1460/7 + p. What is i in 8/7*i + 16/7*i**3 - v*i**4 - 20/7*i**2 + 0 = 0?
0, 1, 2
Let o = 13084857/403855 - -9/80771. Solve -336*l - 4/5*l**3 - 160 - o*l**2 = 0.
-20, -1/2
Suppose 6*d + z = 4*d - 17, z + 37 = -4*d. Let h be d/68 - 5/(-10)*1. Determine m so that -14/17*m**2 - 6/17*m**3 + 10/17*m**4 + h*m + 4/17 = 0.
-1, -2/5, 1
Suppose 0 = -76*x - 6 + 16 - 10. Let s(p) be the third derivative of 0*p + x + 11*p**2 + 2/3*p**3 - 1/60*p**5 - 1/8*p**4. Factor s(t).
-(t - 1)*(t + 4)
Solve -q**2 + 89 + 241*q + 77 + 160 - 84 = 0 for q.
-1, 242
Let x(f) = f**2 + 6*f - 67. Let w be x(6). Suppose -w*u + 4 = 2*t, -u - 4*t = -3*t + 1. Factor 0*b + 1/4*b**3 + 0*b**u + 0.
b**3/4
Let q(z) = z**4 - 2*z + 1. Let f(p) = 5*p**4 + 2*p**3 + 5*p**2 - 18*p + 6. Let s(g) = f(g) - 6*q(g). Factor s(j).
-j*(j - 3)*(j - 1)*(j + 2)
Let o = 45 + -43. Factor -5*l**4 + 10*l - 7*l + 8*l**4 + 18*l**3 + 27*l**o + 9*l.
3*l*(l + 1)**2*(l + 4)
Let t be -3 + 1 - -3 - (-64 - -63). Let -145*b + 90 + 80*b**5 + 1177*b**3 + 680*b**4 + 970*b + 2320*b**t + 828*b**3 = 0. Calculate b.
-3, -2, -1/4
Let u = 283 + -280. Let p(f) = 31*f**3 + 68*f**2 - 53*f - 254. Let j(s) = 11*s**3 + 23*s**2 - 18*s - 84. Let w(q) = u*p(q) - 8*j(q). Find z such that w(z) = 0.
-3, 2
Let a(s) be the first derivative of -s**5/4 + 5*s**4/6 - 5*s**3/6 - 151*s - 5. Let z(o) be the first derivative of a(o). Let z(i) = 0. Calculate i.
0, 1
Let y = -8264590/9 + 918288. Determine s, given that 0 - 2/9*s**5 + 16/3*s + 44/9*s**3 + 88/9*s**2 + y*s**4 = 0.
-2, -1, 0, 6
Let p(l) be the second derivative of l**4
|
{
"pile_set_name": "DM Mathematics"
}
|
fy (((d/(d/(d/d**(-2/5))))**4)**(-36))**(-1/40) assuming d is positive.
d**(126/25)
Simplify (o**(-2))**(-28)/(o*o/o**8)**35 assuming o is positive.
o**266
Simplify ((z**(7/3)/(z/(z**13/z)))/((z/(z*(z*((z**(1/14)*z)/z)/z*z)/z))/z**(-11)))**48 assuming z is positive.
z**(808/7)
Simplify ((w**37*w*w)/(w/((w*w**27)/w)))/(w**0)**(-4/25) assuming w is positive.
w**65
Simplify (m*m/m**(-2/25)*m*m**(-30))/(m/(m*m**(-4/9)/m)*m**(-1)) assuming m is positive.
m**(-6157/225)
Simplify (l**(4/7)/l**(-7)*(l/l**(-3))**44)**(-35) assuming l is positive.
l**(-6425)
Simplify c*((c**16/c)/c)/c*c**(-7/6)*c*(c*c/c**4)/c**(1/9) assuming c is positive.
c**(211/18)
Simplify ((w*w*w*w**1)**8/(w/((w/(w**(2/15)/w))/w*w)*w**(-4/9)*w))**(-38) assuming w is positive.
w**(-55252/45)
Simplify (h**2/h)**47*(h/((h/(((h/h**(1/15))/h*h)/h))/h))/((h*h**(-5/8))/h*h) assuming h is positive.
h**(5707/120)
Simplify (y/(y*y**(-2/5)*y))**(-1/5)/(y**11/y*(y*y*y**(-3/5))/y) assuming y is positive.
y**(-257/25)
Simplify (o**10/(o**14*o))/((o*o/(o*o**9))/o**(-7)) assuming o is positive.
o**(-4)
Simplify (f**0*f)**(-1/10)*f**(2/33)*f**1 assuming f is positive.
f**(317/330)
Simplify (v**11/v**(1/3))/(v**(-3))**(-2/25) assuming v is positive.
v**(782/75)
Simplify c**(-15)/(c*c**(-12)/c)*(c**(-2/25))**32 assuming c is positive.
c**(-139/25)
Simplify (k/((k/(k**(-23)/k*k))/k))/(k**(-19)/k)*(k**13*k)/k**(9/5) assuming k is positive.
k**(51/5)
Simplify (r/r**(2/17))**(-3/7)*r**(14/9)*r*r**10 assuming r is positive.
r**(13042/1071)
Simplify (m**1)**(-35)/(m**9*m*m*m**(1/4)) assuming m is positive.
m**(-185/4)
Simplify ((n*n*n**(-2)*n*n**2/n)/((n*n**(4/5))/n*((n**6*n)/n*n)/n))**(7/10) assuming n is positive.
n**(-84/25)
Simplify (t**(-3/4)*t/t**(-2/13))/((t*t*t/(t**(19/5)*t))/((t/(t/t**(-6/11))*t)/t)) assuming t is positive.
t**(4743/2860)
Simplify ((r*(((r**(1/5)/r)/r)/r)/r)/r)**(-8/11)*(r*r/(r**(-10/3)/r)*r)/r*r**(-2) assuming r is positive.
r**(1171/165)
Simplify t**(2/23)/(((t**(-5/3)*t)/t)/t)*t*t**(-13)*t**(-2/11) assuming t is positive.
t**(-7156/759)
Simplify ((m*m**(-1)/m)**24*((m**(-4/9)/m)/m)/m*m*m*(m*m**(2/7))/m)**(-4) assuming m is positive.
m**(6340/63)
Simplify ((y**(7/2)*y)/y)/(y/((y/(y**0*y))/y))*(y/(((y**(-2)/y)/y*y)/y*y*y))**(-10/9) assuming y is positive.
y**(-11/6)
Simplify ((((d*d**(2/19))/d)/d)/(d/d**15))/(d**6/d*(d/d**(-2))/d) assuming d is positive.
d**(116/19)
Simplify (f**(-3/5)*f)/f**(2/3)*(f**1)**(2/7) assuming f is positive.
f**(2/105)
Simplify ((v*v/v**(-12)*v/((v*v**(-3)*v)/v))/(v/v**(1/6)*v**(-2/5)))**(-27) assuming v is positive.
v**(-4473/10)
Simplify ((j**(1/7)/j)/j**(3/11))/(j**(11/4)*j*j/j**(-5/3)) assuming j is positive.
j**(-6973/924)
Simplify y**11/(y*y*y*y**15)*(y/(y*(y**(-1/5)/y)/y))/y*y*y**5/y*y assuming y is positive.
y**(1/5)
Simplify ((((r/(r*r/(r**(-11)/r)))/r)/r*r*r*r*(r**(-3)/r)/r*r)/(r**(-2)*r*r/r**(-5/3)*r))**15 assuming r is positive.
r**(-280)
Simplify ((b**1*b)**22*b**(-8)/(b/b**7*b))**(-25) assuming b is positive.
b**(-1025)
Simplify (n**(-12))**(-5/16)*n*n**7*n*((n*n/(n**(5/3)*n))/n)/n assuming n is positive.
n**(121/12)
Simplify ((p*p**2*p*p)/(p/(p/(p**5*p))))/(((p*p**(4/9)/p)/p)/p*(p/(p*p**6))/p) assuming p is positive.
p**(68/9)
Simplify i/i**14*i*(i*(i/i**(-5))/i)/i*(i*i**4*i)**38 assuming i is positive.
i**221
Simplify d**(-14)/(d/(d*(d*d**(-2/25))/d))*((d/((d*d/d**(-1/14))/d))/d)**5 assuming d is positive.
d**(-6803/350)
Simplify ((j*j*j*j**(1/11)*j)/j)**21*(j/(j**(2/3)*j))**(-4/5) assuming j is positive.
j**(10798/165)
Simplify ((c**(1/5)*c*c)/c)**(-20/9)/(c**(3/4)/c*c*c/c**(7/6)) assuming c is positive.
c**(-13/4)
Simplify ((o**(-2))**(21/5)/(o**0)**43)**14 assuming o is positive.
o**(-588/5)
Simplify ((((m*m**6)/m)/m)/(m/((m**(-5)*m)/m))*(m**(-1)/m)**13)**47 assuming m is positive.
m**(-1269)
Simplify u*u**(2/19)*u**(2/25)*u*(u*u**(-11/2)/u)/u*u*u/u**(4/15) assuming u is positive.
u**(-7357/2850)
Simplify ((((j*j*j**2)/j)/((j/j**(-3))/j))/(j**(-1/3)/(j**(-5)*j)))**(-1/21) assuming j is positive.
j**(11/63)
Simplify ((i*i*i**3*i*i**(2/11)*i*i)/(i*i**(-2/7)*i/(i*i**(-2/7))*i*i))**(-44) assuming i is positive.
i**(-228)
Simplify (n*n*n**(10/13)*(n/(n*n**(4/5)))/n)/(n**(1/2)/n)**(-29) assuming n is positive.
n**(-1759/130)
Simplify p**(-1/8)/(p*p**(-7))*(p**(-3))**(5/4) assuming p is positive.
p**(17/8)
Simplify (z**(-1/2))**(-2/63)/(z**(-1/4)*(z/((z*z/z**(-17))/z)*z)/z) assuming z is positive.
z**(4351/252)
Simplify ((b
|
{
"pile_set_name": "DM Mathematics"
}
|
27
Let h = 196 + -159. List the prime factors of h.
37
Suppose -7*o + 9*o + 2*a = 7030, 2*a = -o + 3518. List the prime factors of o.
2, 439
Suppose 0*d + 26 = -2*d - l, -3*l = 0. Let z = d + 18. Suppose 8*u = z*u + 6. List the prime factors of u.
2
Let t be (-1)/((-3)/12) + 224. Suppose -2*z + t + 28 = 0. Suppose -3*o - z = -4*i, 15 = -3*i - o + 124. What are the prime factors of i?
5, 7
Let y(t) = 16*t**2 + 11*t + 1. Let d = 108 + -104. List the prime factors of y(d).
7, 43
Let z(u) = 41*u**2 - 70*u + 9. List the prime factors of z(9).
2, 3, 5
Suppose 0 = -6*w + 1331 + 457. List the prime factors of w.
2, 149
Let c be (-5*1)/(9/54). What are the prime factors of ((-88)/(-55))/((-4)/c)?
2, 3
List the prime factors of 159072/112 + (-4)/14.
2, 5, 71
Let c be (-15)/(-10)*8/6. Let f = -78 + 85. Let u = f - c. List the prime factors of u.
5
Let t be 4/10 + 9086/35. Let f = -24 - -24. Suppose f = 5*p - p - t. What are the prime factors of p?
5, 13
Suppose -m = -5*o + 17148, -20*m = -o - 15*m + 3420. What are the prime factors of o?
2, 5, 7
Let q be 168/16*2*(-1)/(-1). Suppose q = m - 27. What are the prime factors of m?
2, 3
Let z be -3*(-2 - (-2)/3). Let x(y) = -647*y**3 - 3*y + 5*y - 4*y + 646*y**3 + 5*y**2 + 9. What are the prime factors of x(z)?
17
Suppose w - m - 295 - 581 = 0, w = 4*m + 864. List the prime factors of w.
2, 5, 11
Let k(d) = -d**2 - 6*d + 16. Suppose 16 = -3*z + 1. What are the prime factors of k(z)?
3, 7
Suppose 2*s - 3807 = -5*x, -854 + 89 = -x - 4*s. List the prime factors of x.
761
Let h be -8*5/(40/(-12)). Let l = 18 - h. What are the prime factors of 4/l + 19/3?
7
Let w(g) = g**2 - g + 8. Let t be w(6). Suppose -40 = -5*c + 5. Suppose t = 3*f - 0*f - 2*q, -3*q = f - c. What are the prime factors of f?
2, 3
Let s(f) = -f**3 + f**2 - f + 116. Let y be s(0). Suppose -3*t + y = 4*v - 10, 5*v - 77 = -2*t. What are the prime factors of t?
2, 23
Suppose -20*z = -18*z - 522. Suppose 9*v - 153 = 7*v - 5*f, -z = -4*v - f. List the prime factors of v.
2
Let j(r) = 4*r**2 - 3*r + 6 - r + r + 3. What are the prime factors of j(5)?
2, 47
Suppose 0 = -10*i + 8*i. Suppose 5*k - 332 = -3*t, i*k = -k + 5*t + 72. List the prime factors of k.
67
Let z = 1 - -4. Suppose y + z*s = 3*s - 5, -5*s = -y + 16. List the prime factors of y*(3 + -2) + 8.
3
Let s = -9 - -14. Suppose -s*f + 505 = -0*f. What are the prime factors of f?
101
Let x(n) = -n**3 + 10*n**2 + 34. Suppose -5*h = -2*c - 3*c - 55, 0 = -h - 2*c + 8. What are the prime factors of x(h)?
2, 17
Suppose -60*l - 1989 = -73*l. List the prime factors of l.
3, 17
Suppose 5*r + 44 = r. Let p(l) be the second derivative of -l**5/20 - l**4 - 2*l**3 + 11*l**2/2 - 12*l. List the prime factors of p(r).
2, 11
What are the prime factors of (142 + -146)*1194/(-8)?
3, 199
Let i(t) = -35*t + 5. Let w be (-1 + 5)/((-1)/(5/10)). List the prime factors of i(w).
3, 5
Suppose 17*x - 23*x = -1980. What are the prime factors of x?
2, 3, 5, 11
Let n(f) = 9*f**2 + 7*f + 163. What are the prime factors of n(9)?
5, 191
Suppose 14229 = 69*l - 60*l. What are the prime factors of l?
3, 17, 31
Let b be (3 - 9/3)/2. Let o(n) = n**3 + n + 2. Let a be o(b). Suppose j + 23 = a*j. What are the prime factors of j?
23
Let s(o) = o - 3. Let k be s(5). Suppose -4 = -k*g - 0. Suppose g*n = -5 + 31. List the prime factors of n.
13
Let i be (-2)/2*(-4)/4. Let f be (2 - 19/i) + 1. Let p = f - -39. List the prime factors of p.
23
Suppose 8*c - 12*c = -y + 1023, -4*c + 4192 = 4*y. What are the prime factors of y?
7, 149
Let i(x) = 16*x + 5. Let s be i(6). Let j = s + 1363. List the prime factors of j/28 - 10/35.
2, 13
Suppose 0 = -3*h - 5*p + 8347, 2*h - 4*p = h + 2805. List the prime factors of h.
2789
Suppose -h - 5*j = -10, 4*h - 4 = 2*h - 2*j. Suppose h = -k + 1 + 22. List the prime factors of k.
23
Let c = -53 + 67. Let p(o) = o**2 - 7*o + 23. List the prime factors of p(c).
11
Suppose -4*n - 5*t + 1236 = -1657, -15 = 5*t. What are the prime factors of n?
727
Let x = -900 + 1854. What are the prime factors of x?
2, 3, 53
List the prime factors of ((-72950)/(-100))/(1/4*2).
1459
Let w = -1787 - -3342. List the prime factors of w.
5, 311
Let x(v) = 9*v**2 + 6*v - 1. Let k be (-26)/(-10) + (-4)/(-10) - 9. What are the prime factors of x(k)?
7, 41
Let r(u) = -u**3 + 17*u**2 + 144*u + 23. List the prime factors of r(-13).
3221
Suppose 3*m - 1498 = 2*z, -2*m - 5*z + 3*z + 992 = 0. List the prime factors of m.
2, 3, 83
List the prime factors of ((502/6)/1)/((-143)/(-3861)).
3, 251
Let r(q) = -q**3 - 6*q**2 + 6*q - 1. Let z be r(-6). Suppose -2*o = -5*h + 26 - 8, 62 = -4*o - 3*h. Let s = o - z. What are the prime factors of s?
23
Let t = 151 + -74. Let l = 127 - t. Let v = -31 + l. What are
|
{
"pile_set_name": "DM Mathematics"
}
|
ate prob of sequence oo when two letters picked without replacement from eozzoffe.
1/28
Two letters picked without replacement from {x: 1, s: 1, l: 3, y: 2}. What is prob of sequence yl?
1/7
Calculate prob of sequence hh when two letters picked without replacement from {h: 2, c: 4}.
1/15
Calculate prob of sequence klll when four letters picked without replacement from kkcklkllkcl.
1/66
Four letters picked without replacement from qqqsjqqqjqqbjbjqqqj. Give prob of sequence jjsj.
5/7752
Two letters picked without replacement from gjgzgjzzjzjjz. What is prob of sequence gg?
1/26
Three letters picked without replacement from {k: 1, r: 6, x: 2, g: 4, j: 4}. Give prob of sequence xjg.
2/255
Two letters picked without replacement from {u: 2, q: 9}. Give prob of sequence qq.
36/55
What is prob of sequence pbb when three letters picked without replacement from ypyypbbyy?
1/126
Two letters picked without replacement from {z: 6, h: 3, y: 2, a: 2, s: 1}. Give prob of sequence za.
6/91
Three letters picked without replacement from {p: 4, g: 2, b: 1, w: 1}. Give prob of sequence wgb.
1/168
Calculate prob of sequence uz when two letters picked without replacement from zzzzzhuzuuuzzuzzu.
15/68
Four letters picked without replacement from {r: 5, q: 7, z: 5, v: 2}. Give prob of sequence zrqv.
175/46512
Two letters picked without replacement from nnukugnggguugug. Give prob of sequence kg.
1/35
Two letters picked without replacement from ggjgfgggjfjgggg. What is prob of sequence jg?
1/7
What is prob of sequence ujw when three letters picked without replacement from lujlwljulujll?
3/572
Calculate prob of sequence pyy when three letters picked without replacement from pppypyypppyy.
7/66
Three letters picked without replacement from gggvgbgggggvbvgem. Give prob of sequence gvb.
1/68
Calculate prob of sequence hy when two letters picked without replacement from bbbuhbucvbvybvbcu.
1/272
What is prob of sequence yp when two letters picked without replacement from {y: 4, l: 2, p: 3}?
1/6
Four letters picked without replacement from zonxxiixxiionxiiin. What is prob of sequence zinn?
7/12240
Two letters picked without replacement from rmziiykm. Give prob of sequence ii.
1/28
What is prob of sequence bonu when four letters picked without replacement from {s: 2, n: 1, u: 2, b: 2, c: 3, o: 2}?
1/1485
What is prob of sequence hgg when three letters picked without replacement from gghmvvvvgvgvvvgvggvh?
7/570
Four letters picked without replacement from {y: 3, i: 1, g: 1, q: 9}. What is prob of sequence ygyi?
1/4004
Calculate prob of sequence rrrr when four letters picked without replacement from {k: 4, r: 15}.
455/1292
Two letters picked without replacement from tttytttt. Give prob of sequence ty.
1/8
Two letters picked without replacement from hthyoyohyohottht. Give prob of sequence ho.
1/12
Two letters picked without replacement from {s: 1, m: 2, x: 1, y: 1, w: 2}. Give prob of sequence ws.
1/21
Three letters picked without replacement from ruwjv. Give prob of sequence ujw.
1/60
Three letters picked without replacement from {k: 1, v: 2, m: 1, x: 3, j: 3}. Give prob of sequence jjj.
1/120
Four letters picked without replacement from waawawwawaaaawwaawaw. Give prob of sequence waww.
77/1615
Three letters picked without replacement from {m: 2, d: 8, z: 5}. Give prob of sequence mzm.
1/273
Calculate prob of sequence kgrr when four letters picked without replacement from {r: 4, g: 5, k: 1}.
1/84
What is prob of sequence wbow when four letters picked without replacement from booooowobwoowoooo?
3/1190
Two letters picked without replacement from {u: 8, i: 4, c: 8}. What is prob of sequence uu?
14/95
Three letters picked without replacement from ggbuubgguuguggggggu. What is prob of sequence ubg?
22/969
Calculate prob of sequence iuqq when four letters picked without replacement from aqiuqqiq.
1/70
Two letters picked without replacement from {f: 1, l: 2, x: 1, r: 2}. What is prob of sequence rx?
1/15
Two letters picked without replacement from caachncaacqccqha. Give prob of sequence qq.
1/120
Three letters picked without replacement from {l: 3, j: 1, g: 1, r: 4, y: 4, b: 1}. Give prob of sequence yry.
2/91
Calculate prob of sequence yj when two letters picked without replacement from aaajayj.
1/21
Calculate prob of sequence uu when two letters picked without replacement from zuuuzzzuzzzzzzzzzzzz.
3/95
Calculate prob of sequence oo when two letters picked without replacement from zzzozo.
1/15
What is prob of sequence uuu when three letters picked without replacement from xcllrruruulul?
2/143
Four letters picked without replacement from iiwiiiwiiwiiwimwwii. What is prob of sequence wwim?
5/1292
Calculate prob of sequence bb when two letters picked without replacement from bbzzzbzbzbzzzzzzzzb.
5/57
What is prob of sequence phhp when four letters picked without replacement from pvvphvvhpvpv?
1/495
What is prob of sequence nnh when three letters picked without replacement from {h: 1, x: 5, n: 6, b: 4, g: 4}?
1/228
Three letters picked without replacement from sspppps. Give prob of sequence pps.
6/35
Three letters picked without replacement from zxxzzzzxoxzxzxxozzx. What is prob of sequence zoo?
1/323
Three letters picked without replacement from xaaxtxxttxxxxxtx. What is prob of sequence xxx?
3/14
Two letters picked without replacement from xjqxxjqxxxxqjjqxjxj. What is prob of sequence xx?
4/19
What is prob of sequence nll when three letters picked without replacement from nllnnl?
3/20
Calculate prob of sequence uguu when four letters picked without replacement from gguguuuuugug.
35/396
Two letters picked without replacement from wmwwwwwwmwwww. Give prob of sequence wm.
11/78
Two letters picked without replacement from {h: 2, e: 3, k: 1, v: 3, j: 2, s: 3}. Give prob of sequence sk.
3/182
Three letters picked without replacement from {d: 14, h: 4}. Give prob of sequence dhd.
91/612
Three letters picked without replacement from {u: 2, a: 10, n: 3}. What is prob of sequence nun?
2/455
Three letters picked without replacement from {y: 5, j: 1, f: 2, t: 6, q: 3}. What is prob of sequence yfy?
1/102
Two letters picked without replacement from {y: 2, g: 7, f: 5, q: 5}. Give prob of sequence fg.
35/342
What is prob of sequence eb when two letters picked without replacement from bweewwbbb?
1/9
What is prob of sequence ps when two letters picked without replacement from {p: 4, s: 10}?
20/91
Two letters picked without replacement from tlshnan. Give prob of sequence lh.
1/42
Calculate prob of sequence eet when three letters picked without replacement from eeeeettst.
5/42
Four letters picked without replacement from kgkkggkjkgkkgkgkkjkg. What is prob of sequence jgkk?
77/5814
Three letters picked without replacement from fffafffffffff. Give prob of sequence faf.
1/13
Four letters picked without replacement from bbbeeeb. What is prob of sequence beeb?
3/35
Four letters
|
{
"pile_set_name": "DM Mathematics"
}
|
2 and 377834?
3400506
What is the smallest common multiple of 2 and 32288940?
32288940
Calculate the common denominator of 49/16 and 53/5147790.
41182320
Calculate the least common multiple of 78122 and 990.
3515490
Find the common denominator of 89/1689324 and 103/80262.
35475804
Calculate the least common multiple of 2559000 and 2559000.
2559000
Find the common denominator of 53/1398304 and -73/7086.
4194912
What is the smallest common multiple of 7448 and 2013018?
152989368
Calculate the common denominator of 85/856 and -75/7099022.
28396088
Find the common denominator of -52/10332277 and 51/68290.
103322770
What is the common denominator of 25/306191504 and -35/344465442?
2755723536
What is the smallest common multiple of 4731984 and 384?
37855872
Calculate the common denominator of 61/62964 and -181/37884.
18070668
What is the smallest common multiple of 36806 and 431156?
3018092
Calculate the common denominator of -41/310247318 and -43/1937028.
1861483908
Find the common denominator of -149/12 and -77/989106.
1978212
What is the common denominator of -167/43638588 and 101/26016?
349108704
What is the common denominator of 4/83325 and -1/6710?
10165650
What is the least common multiple of 1584324 and 3734478?
52282692
Calculate the common denominator of 57/51371230 and 61/41096984.
205484920
Find the common denominator of 1/2643784 and 109/1872.
47588112
What is the lowest common multiple of 55729 and 345?
835935
Calculate the common denominator of -11/104625 and -65/14694.
16530750
Find the common denominator of 85/52104 and -53/2912.
1458912
What is the common denominator of 3/579985856 and 53/72498232?
579985856
Find the common denominator of -4/4464405 and 47/2610.
8928810
Find the common denominator of -37/8 and 59/32492408.
32492408
What is the common denominator of 137/24 and -133/45746700?
91493400
What is the smallest common multiple of 24934 and 5943?
21168966
Find the common denominator of -37/346724 and -149/84.
1040172
What is the lowest common multiple of 5114 and 696?
1779672
Calculate the common denominator of -119/30 and 68/470733.
4707330
Calculate the smallest common multiple of 10 and 2272510.
2272510
Calculate the lowest common multiple of 511494 and 489.
511494
Find the common denominator of 103/3100 and -53/8546.
13246300
What is the least common multiple of 211839 and 215355?
51900555
What is the lowest common multiple of 306 and 1927671?
196622442
Calculate the smallest common multiple of 51427404 and 35.
257137020
What is the common denominator of -61/5225616 and 137/17952?
177670944
Find the common denominator of 89/3264954 and -67/176484.
6529908
What is the smallest common multiple of 49 and 6241816?
6241816
Calculate the lowest common multiple of 190625 and 7350.
56043750
Calculate the lowest common multiple of 189866382 and 1644.
379732764
Find the common denominator of -47/1388472 and -29/88.
15273192
What is the lowest common multiple of 129225201 and 5439?
129225201
Find the common denominator of -59/395340 and -107/2760.
18185640
What is the common denominator of 115/6500364 and 57/3718?
929552052
What is the common denominator of 31/350 and -109/175140?
875700
What is the lowest common multiple of 2670271 and 5?
13351355
Find the common denominator of 127/1816590 and 73/918.
277938270
What is the smallest common multiple of 156221 and 1237751?
16090763
Find the common denominator of 46/114509161 and 5/4065414.
687054966
Calculate the lowest common multiple of 60794 and 790322.
790322
Calculate the least common multiple of 124851 and 316.
39452916
What is the common denominator of -5/18 and -61/14342970?
43028910
Calculate the lowest common multiple of 3555489 and 70.
35554890
Calculate the common denominator of -91/279180 and 41/376195050.
752390100
Calculate the lowest common multiple of 1040 and 3007680.
3007680
Calculate the common denominator of -125/1082802 and 59/1764.
6496812
Find the common denominator of -87/20 and 107/28740570.
57481140
What is the smallest common multiple of 9 and 3366079?
30294711
Calculate the least common multiple of 4030522 and 2.
4030522
What is the common denominator of 24/13662679 and -58/3?
40988037
What is the common denominator of -107/32040 and 5/1632?
2178720
What is the least common multiple of 4161766 and 14?
4161766
What is the common denominator of 13/108382384 and -67/108382384?
108382384
Calculate the least common multiple of 41692 and 854686.
1709372
Calculate the common denominator of 32/32328273 and -43/19143.
290954457
Find the common denominator of 71/61504 and 26/71269.
141397696
What is the lowest common multiple of 11848506 and 27646514?
82939542
Calculate the common denominator of -41/839694 and 23/81317.
195648702
What is the common denominator of 37/4283708 and 111/2141854?
4283708
Calculate the smallest common multiple of 10854 and 225912.
408674808
Find the common denominator of 79/19251 and -65/258819.
2329371
Calculate the common denominator of -111/70 and -93/2736524.
13682620
What is the least common multiple of 43140 and 115040?
345120
Calculate the smallest common multiple of 80 and 25305740.
101222960
What is the common denominator of 53/59820 and 59/47963676?
239818380
Find the common denominator of 65/28320936 and -155/696.
28320936
Calculate the smallest common multiple of 17737290 and 17737290.
17737290
What is the common denominator of 37/42218 and 103/5566110?
105756090
Calculate the least common multiple of 18099635 and 25119.
162896715
Calculate the smallest common multiple of 27398 and 12749.
18384058
Find the common denominator of 91/470212 and 13/4801112.
91221128
Calculate the least common multiple of 4826 and 1016.
19304
What is the smallest common multiple of 6832 and 67568480?
67568480
What is the smallest common multiple of 23500 and 2803644?
350455500
Calculate the common denominator of -40/171 and -27/111199.
19015029
Find the common denominator of -121/138168 and -11/52175691.
417405528
Calculate the lowest common multiple of 471785 and 685.
64634545
What is the least common multiple of 66164 and 3582308?
25076156
Find the common denominator of -56/27 and -58/9113055.
82017495
Calculate the least common multiple of 1583732 and 11241.
14253588
Calculate the smallest common multiple of 232005514 and 260.
2320055140
Calculate the smallest common multiple of 1370 and 5543660.
759481420
What is the lowest common multiple of 567 and 174248550?
522745650
Calculate the least common multiple of 9 and 13239984.
39719952
Calculate the common denominator of 83/15790408 and 3/7895204.
15790408
Calculate the common denominator of 23/73304 and -47/1092.
2858856
What is the common denominator of 59/958 and 68/6021?
57
|
{
"pile_set_name": "DM Mathematics"
}
|
+ (-12 - (-8 + 3))
-1
-5 + (8 - (-3 + 6)) + -5
-5
6 - (7 + (5 - 8) + 1)
1
14 + -19 - ((-2 - 1) + 4)
-6
Evaluate (5 - (1 - (-2 + 1))) + -2.
1
What is the value of -6 + (22 - 5) + -4?
7
What is -2 + 6 - -2 - 3 - 4?
-1
What is 0 + -3 + 1 + -2?
-4
Calculate -1 - (8 - (-2 + 6)).
-5
What is (0 - -3 - -1) + -6?
-2
Evaluate (-8 - (12 - 15)) + 4.
-1
What is the value of 9 - 0 - (-92 + 98)?
3
What is 6 - (6 + -3 + -3)?
6
1 - ((-4 - -6 - -1) + -2)
0
What is the value of (0 - -1) + 7 + (-8 - -4)?
4
4 + -10 - 0 - -2
-4
Evaluate 6 - (-6 + 7 - -1).
4
What is the value of -1 + 2 + (-7 - -3) + 4?
1
-1 + -1 + (64 - 58)
4
What is the value of 0 + 5 - (23 - 16)?
-2
Evaluate (-6 - 0) + (18 - 11) + 0.
1
What is the value of 1 - (-1 + -2) - 8?
-4
What is the value of -3 + 2 + 5 + 1 + -5?
0
Calculate 8 - (-6 - -16 - 6).
4
Calculate 10 + (-6 - 10) + 9.
3
What is the value of (-1 - 0) + -12 + 14?
1
What is the value of -5 - (-13 + (5 + -2 - -1))?
4
(0 - (-2 - -5)) + (-22 - -24)
-1
1 + 1 + (-13 - -14)
3
What is the value of -1 + (9 - -6 - 9)?
5
What is 16 + -8 - (-1 - -1)?
8
9 + -1 + 1 + -5
4
What is the value of 2 - -1 - 2 - (9 + -3)?
-5
Calculate (-2 + 2 - -5) + -6 - -3.
2
What is the value of 1 - (-4 + 12 + -2)?
-5
What is -8 - ((-7 - -3) + -3)?
-1
49 + -53 + (-1 - -13)
8
352 + -354 - (1 + 0 - 5)
2
What is (7 - 7) + -9 - -14?
5
Evaluate (-6 + -3 - -9) + -5 + 1.
-4
What is the value of -6 + (-3 + -5 - -6) + 1?
-7
Evaluate 8 + 0 - 6 - 1.
1
What is -9 + (6 - -16) + -7?
6
Evaluate 4 - 4 - (1 + -3 - -1).
1
Calculate 1 + -8 + 5 + -4 - -7.
1
Calculate -1 + (0 - -3 - -2) + -2.
2
Calculate 1 + 1 - (11 + -5).
-4
What is the value of -3 - (-3 + 5 - 2 - 2)?
-1
What is the value of -11 + 10 - (0 - 3) - -3?
5
Calculate 1 + (-5 - -2) + 3.
1
Calculate (-5 - -1) + (-52 - -48).
-8
5 + -8 + -1 + 0
-4
Evaluate (4 - 6) + 6 - 10.
-6
Evaluate -3 + (-2 - -1 - 1).
-5
Evaluate -4 - (-3 - -4) - (13 - 14).
-4
Calculate -7 + 7 + (5 + -5 - 3).
-3
Calculate -13 + 4 - ((-2 - 3) + 1).
-5
Evaluate 0 - (-1 - (15 - 10)).
6
(-9 - -1) + (17 - 14) - 0
-5
What is (-14 + 10 - 9) + 14?
1
What is (1 - 0) + 8 - (114 + -112)?
7
-1 - 5 - (-8 + -2)
4
What is 9 - (-8 - -11) - 9?
-3
What is the value of -5 - -2 - (8 + -14)?
3
2 - (-5 + 0) - (-2 - -8)
1
Calculate 54 - 46 - (2 - 1).
7
0 + 12 + -2 + -4
6
Evaluate -1 + -3 + 0 - -8.
4
-20 - -14 - (-1 - (0 + 2))
-3
Calculate -6 + 0 + -1 + (4 - 2).
-5
(0 + 2 - 2 - -3) + 1
4
Calculate -2 + -3 + (-2 - -3).
-4
Evaluate -12 - 2 - (38 + -46).
-6
6 - (-3 + -4 + 9)
4
Evaluate 5 + (-1 + -2 - -2) + 1.
5
21 + -16 - ((-2 - -2) + 1)
4
Evaluate -3 + 8 - (-22 - -22).
5
Calculate -7 + 6 - (2 - 1).
-2
Calculate 15 + 1 + -7 + (5 - 4).
10
(-8 - -11) + (-1 - -2)
4
Calculate 19 + -18 + (1 - (2 - 1)).
1
22 + -20 - (0 + -3)
5
What is (0 + 1 - 7) + (-14 - -15)?
-5
Evaluate 34 - 39 - (-8 - (-2 + 2)).
3
(-1 - -1) + (-1 + 4 - 2)
1
(4 - (-1 + 4)) + 2 + 0
3
What is -4 - -2 - (10 + -11)?
-1
What is the value of -1 + (19 - 16) + 1 + 0?
3
What is the value of 119 - 121 - (0 - (0 - 1))?
-3
Calculate -1 - (-6 + 5 - 2).
2
Calculate 2 - (-2 + (1 - -5) + -3).
1
What is -2 + 1 + 1 + 1?
1
What is 26 + -29 + 2 + -2?
-3
Evaluate (48 - 49) + -1 + -3.
-5
What is 4 - (-4 + -3 + 9)?
2
-1 - 0 - (-20 - (9 - 33))
-5
Calculate 1 - (-3 + -1 + 4).
1
Evaluate -2 + 5 + -2 + 3 + 1.
5
2 + 2 + -2 + 0
2
What is the value of 9 + -9 + -10 - -12?
2
-13 + 1 - (-4 + 1)
-9
What is 8 - 9 - (0 - -3)?
-4
What is -58 + 63 - (3 + -2 + -3)?
7
What is 20 + -26 + -3 - (-3 + 0)?
-6
What is 9 + -7 + (0 - -3) - 10?
-5
Calculate -10 + (11 - (-10 - -17)).
-6
-2 - ((3 - 1 - 5) + 0)
1
What is -5 - (2 - -5 - 17) - 13?
-8
2 + -10 - (-22 - -13 - 6)
7
What is (-5 - -9) + -1 + 2 + -1?
4
What is the value of -5 + (-3 - (-5 - 1))?
-2
Calculate (-10 + 1 - -11) + (-1 - -2).
3
Calculate -11 - -6 - (-9 + 7).
-3
Evaluate 3 - (5 + -5 + 4).
-1
What is the value of 0 + -2 - (-6 + (1 - 1))?
4
-7 + (4 - 2) + 0
-5
(-2 - -15) + -36 + 29
6
Calculate -4 + (6 + -7 - 0) + 3.
-2
What is the value of -1 + -2 + (7 - 6) + 4?
2
Evaluate -1 - 1 - (60 + -73).
11
(2
|
{
"pile_set_name": "DM Mathematics"
}
|
rd derivative of -3790738*m**4 + 456215*m**2?
-90977712*m
What is the second derivative of 109996063*q*z**2 + 13577*q*z - 38*q - 13*z wrt z?
219992126*q
Find the second derivative of -562*f**2*i**2 - 232*f**2*i - 823*f**2 - 2509*f*i - 1899*i**2 - 4 wrt f.
-1124*i**2 - 464*i - 1646
Find the third derivative of -222*v**4 - 480652*v**3 - 3665*v**2 + v + 8206 wrt v.
-5328*v - 2883912
Find the second derivative of -3*n**3 + 1014351*n**2 + n - 2815337.
-18*n + 2028702
What is the second derivative of -810*c**5 + 998*c**4 + 3296*c - 1143?
-16200*c**3 + 11976*c**2
Find the second derivative of -56623*c**3*z**2 - 75948*c**3*z - 21*c**2*z**2 + 150*c*z - z**2 wrt z.
-113246*c**3 - 42*c**2 - 2
Find the second derivative of -5728036*u**2 + 26052062*u wrt u.
-11456072
Find the second derivative of c**3*o**2 - 159323*c**3*o - 2*c*o**2 - 749167*c*o wrt c.
6*c*o**2 - 955938*c*o
Find the second derivative of 437031222*a**3 + 883918263*a wrt a.
2622187332*a
Differentiate 186560470*n**2*p**3 + 351*p**3 - 3455*p**2 wrt n.
373120940*n*p**3
Differentiate 721764*z**3 - 1028519 wrt z.
2165292*z**2
Differentiate 2*j*k*w + 5116301*j*k + j*w - j + 11016790*k*w - 32*k + 6*w wrt w.
2*j*k + j + 11016790*k + 6
Find the second derivative of 13123516*p**5 - 2*p - 4879192 wrt p.
262470320*p**3
Differentiate 332*s**4 + 20*s**3 + 766*s - 109202045.
1328*s**3 + 60*s**2 + 766
Find the second derivative of -83671814*x**2 + 20493604*x + 1.
-167343628
Find the second derivative of 4896721*s**2 + 67211*s - 132 wrt s.
9793442
What is the second derivative of -10622*p**3 + 2498*p**2 - 15919161*p wrt p?
-63732*p + 4996
What is the derivative of -167702*s**3*t**2 + s**3 - 20*s**2 - 6*s*t + 52*s - 2*t**2 - 43 wrt t?
-335404*s**3*t - 6*s - 4*t
What is the derivative of -3*d**4 + 68145305*d**2*v - 125626416*v + 3 wrt d?
-12*d**3 + 136290610*d*v
What is the derivative of -248428871*x - 438882475 wrt x?
-248428871
What is the third derivative of -168*i**5 + 93*i**4 + 690*i**3 - 12*i**2 + 1207582*i wrt i?
-10080*i**2 + 2232*i + 4140
Differentiate -3596*c*k**2 - 399*c*k + 5*c - 2652889*k**2 + 3*k with respect to c.
-3596*k**2 - 399*k + 5
Find the second derivative of -543757890*p**3*u**2 + 154*p**3*u - p**3 + 29625*p*u - 3*u wrt u.
-1087515780*p**3
What is the second derivative of -5650275*i**2 + 7224734*i?
-11300550
What is the second derivative of -1128*m**4 - 2*m**3 - 680*m**2 - 6*m - 47351 wrt m?
-13536*m**2 - 12*m - 1360
What is the derivative of -3479*f**3*w**2 + 4*f**3 + f**2 - 7847*f*w**2 + 2621*f - 512 wrt w?
-6958*f**3*w - 15694*f*w
What is the second derivative of -21*q*x**3 + 328543*q*x**2 + 3*q*x + 24*q - 48082 wrt x?
-126*q*x + 657086*q
Differentiate 25*g*t**2*y**3 + 90950*g*t**2*y - 6*t**2 + 14113567*y**3 with respect to g.
25*t**2*y**3 + 90950*t**2*y
Find the third derivative of -8306329*l**3 + 59837394*l**2 - l.
-49837974
What is the third derivative of 90*a**2*d**3 - 4*a**2*d**2 - 2*a**2 + a*d**3*i - a*d**2*i - 130*a*i + 86*d**3*i - 13*d**3 - 81*d**2*i wrt d?
540*a**2 + 6*a*i + 516*i - 78
What is the third derivative of -12481303*w**5 - 18191865*w**2 + 14?
-748878180*w**2
Differentiate 47*h*u**2 + 9*h*u + 75279331*h - 29086*u**2 with respect to u.
94*h*u + 9*h - 58172*u
Find the second derivative of 8266591*c**3*w**3 + 13*c**3*w + 10316*c**3 + 80*c**2*w + 15*w**4 - 1 wrt w.
49599546*c**3*w + 180*w**2
What is the first derivative of 90289310*k**3*v**2 + 104347*k**3 - 324 wrt v?
180578620*k**3*v
What is the second derivative of 31652628*c*w**2 - 42840*c*w - 7*w + 3 wrt w?
63305256*c
What is the second derivative of -n**4 + 3380583*n**3 + 34*n**2 - 14522991*n - 4?
-12*n**2 + 20283498*n + 68
Find the second derivative of -2108*a**4*g**2 - 1801*a**4 + 3562869*a*g**2 wrt a.
-25296*a**2*g**2 - 21612*a**2
What is the second derivative of -5371415*q**2 + 2702*q + 658 wrt q?
-10742830
Differentiate -817*k*v**3 + 2*k*v - 2*k - 1010*v**3 + 34971751 wrt v.
-2451*k*v**2 + 2*k - 3030*v**2
What is the second derivative of -8*g**4 + g**3 - 382448*g**2 + 48*g - 323010?
-96*g**2 + 6*g - 764896
Find the second derivative of 1115361*d**2*s**2*u + 258*d**2*s*u**2 + 2*d**2*s + 2*d**2*u**2 - d*s**2*u**2 + 1219*d*u**2 wrt s.
2230722*d**2*u - 2*d*u**2
What is the first derivative of 784080939*f**2 + 259774648?
1568161878*f
Find the third derivative of 14564102*p**5 - p**3 - 217504109
|
{
"pile_set_name": "DM Mathematics"
}
|
housand?
-120000
What is 410410 rounded to the nearest 1000?
410000
Round 0.0005514 to 4 decimal places.
0.0006
Round 0.3668 to 0 dps.
0
What is 0.0407689 rounded to four decimal places?
0.0408
What is -289.47 rounded to the nearest integer?
-289
Round -3280000 to the nearest one million.
-3000000
Round 0.000005973 to six decimal places.
0.000006
What is -659490 rounded to the nearest 1000?
-659000
What is -2500 rounded to the nearest one thousand?
-3000
Round 61414000 to the nearest 1000000.
61000000
Round 0.0002003 to 5 dps.
0.0002
Round -681.35 to the nearest integer.
-681
What is 71.4 rounded to the nearest ten?
70
Round -21795000 to the nearest one hundred thousand.
-21800000
What is -17.07 rounded to 0 dps?
-17
What is -27200 rounded to the nearest one thousand?
-27000
What is -3.6641 rounded to one dp?
-3.7
Round 0.000001744 to seven dps.
0.0000017
Round -0.00017754 to six dps.
-0.000178
Round -357 to the nearest 10000.
0
What is 17060000 rounded to the nearest 1000000?
17000000
Round -184250 to the nearest ten thousand.
-180000
Round 5.8915 to 1 dp.
5.9
What is -0.00343 rounded to three dps?
-0.003
What is -17150 rounded to the nearest 1000?
-17000
Round -0.00007476 to six dps.
-0.000075
What is -801800 rounded to the nearest 100000?
-800000
What is -91400 rounded to the nearest 10000?
-90000
What is -4.445 rounded to 1 dp?
-4.4
What is -4369.3 rounded to the nearest 100?
-4400
Round -0.2504 to 1 dp.
-0.3
Round 10330 to the nearest 100.
10300
Round -2035.8 to the nearest ten.
-2040
What is 0.000026008 rounded to seven dps?
0.000026
Round 181.54 to 0 decimal places.
182
What is 87.57 rounded to the nearest integer?
88
What is 0.00002972 rounded to six decimal places?
0.00003
Round -1.028 to two decimal places.
-1.03
What is -126300000 rounded to the nearest 1000000?
-126000000
Round -8.9157 to 0 decimal places.
-9
What is 23790 rounded to the nearest 100?
23800
Round 2898 to the nearest 100.
2900
What is 0.4174 rounded to two dps?
0.42
What is 74176000 rounded to the nearest 100000?
74200000
Round 4339.49 to the nearest 10.
4340
What is -17457 rounded to the nearest 1000?
-17000
Round 0.00010347 to 6 decimal places.
0.000103
Round 0.05491 to two dps.
0.05
What is -28221000 rounded to the nearest one million?
-28000000
What is -2084000 rounded to the nearest 1000000?
-2000000
Round -20800 to the nearest one thousand.
-21000
Round -58865 to the nearest 10000.
-60000
What is 0.000003455 rounded to six dps?
0.000003
Round -3.48 to the nearest integer.
-3
What is 0.0159 rounded to 3 decimal places?
0.016
What is -11920 rounded to the nearest one thousand?
-12000
Round -0.3198 to 1 decimal place.
-0.3
Round -69.91 to the nearest 10.
-70
Round -0.0000136518 to six decimal places.
-0.000014
Round 0.5837 to one dp.
0.6
What is -347.8 rounded to the nearest 100?
-300
What is 0.0275 rounded to 3 dps?
0.028
What is -2.284 rounded to the nearest integer?
-2
Round 0.000033397 to 7 decimal places.
0.0000334
What is 7.53 rounded to the nearest integer?
8
Round 0.000557 to 4 decimal places.
0.0006
What is -0.007137 rounded to three dps?
-0.007
What is 50.939 rounded to one decimal place?
50.9
Round -9.26 to one decimal place.
-9.3
Round 22020000 to the nearest one million.
22000000
What is 0.00000704 rounded to six decimal places?
0.000007
Round -181240 to the nearest ten thousand.
-180000
Round 0.009581 to three dps.
0.01
Round -32964000 to the nearest 100000.
-33000000
What is -0.00000008161 rounded to seven dps?
-0.0000001
Round 860.45 to the nearest integer.
860
What is 0.02935 rounded to four dps?
0.0294
Round -141940 to the nearest 10000.
-140000
Round -1975000 to the nearest one million.
-2000000
Round 12044000 to the nearest 100000.
12000000
Round -21699000 to the nearest one hundred thousand.
-21700000
Round 6169.9 to the nearest one hundred.
6200
Round -458.44 to the nearest integer.
-458
What is -530200 rounded to the nearest one hundred thousand?
-500000
Round -98.1 to the nearest ten.
-100
What is -50.697 rounded to 0 dps?
-51
Round -0.01181 to three decimal places.
-0.012
Round 0.0297295 to four decimal places.
0.0297
What is 0.00000037 rounded to seven decimal places?
0.0000004
What is -0.00025709 rounded to 6 decimal places?
-0.000257
What is -0.0005262 rounded to 5 dps?
-0.00053
Round 1269030 to the nearest 10000.
1270000
What is 0.000059537 rounded to 5 dps?
0.00006
Round -0.00021749 to four decimal places.
-0.0002
Round -8.397 to 1 decimal place.
-8.4
Round 0.000222919 to 5 dps.
0.00022
What is -417339 rounded to the nearest 10000?
-420000
Round -2687370 to the nearest one hundred thousand.
-2700000
Round 0.057227 to two decimal places.
0.06
Round 18250 to the nearest one thousand.
18000
Round 0.0148964 to three dps.
0.015
Round -0.89434 to 1 decimal place.
-0.9
Round -0.1029 to 2 decimal places.
-0.1
What is -10355 rounded to the nearest 1000?
-10000
Round 3520000 to the nearest 1000000.
4000000
Round -0.00000504889 to 6 decimal places.
-0.000005
Round -0.000005045 to 7 decimal places.
-0.000005
Round -17744000 to the nearest one million.
-18000000
Round -1301400 to the nearest one hundred thousand.
-1300000
Round -851.9 to the nearest one hundred.
-900
What is 747900 rounded to the nearest one hundred thousand?
700000
What is 0.000214543 rounded to 5 decimal places?
0.00021
Round -1.53544 to one decimal place.
-1.5
Round -0.535 to one dp.
-0.5
What is 2.8728 rounded to 2 dps?
2.87
What is -4.863 rounded to zero decimal places?
-5
Round 5.967 to the nearest integer.
6
Round 2.9477 to one decimal place.
2.9
Round -116 to the nearest 100.
-100
What is -0.000732 rounded to 3 decimal places?
-0.001
What is 0.62847 rounded to one dp?
0.6
Round 0.000009393 to 7 dps.
0.0000094
What is 0.090964 rounded to 4 dps?
0.091
What is -3146300 rounded to the nearest 100000?
-3100000
Round -31543 to the nearest 1000.
-32000
What is -7.7695 rounded to 2 dps?
-7.77
What is -101.58 rounded to the nearest integer?
-102
What is -19.4 rounded to the nearest integer?
-19
What is 10.627 rounded
|
{
"pile_set_name": "DM Mathematics"
}
|
r?
77
Let m = -14 - -18. Suppose 3*i = 5*f + 142, 1 = f - 3. Suppose -2*g = m*g - i. What is the smallest common multiple of g and 5?
45
Let y = -1764 + 53029/30. What is the common denominator of (-137)/7*(-14)/(-60) and y?
30
Let t(u) = -19*u - 11. Let k = -16 + 23. What is the lowest common multiple of t(-1) and k?
56
Let n(j) = 4*j - 9. Calculate the lowest common multiple of n(4) and 9.
63
Let n = 5 + 4. Let c = -20 - 21. Find the common denominator of (-14)/(-21) + 46/n and c.
9
Suppose -5*j = -8*j + 12. Suppose j*a - 43 = 29. What is the least common multiple of 26 and a?
234
Suppose 2*y - 4 = -3*t + 3, -7 = t + 3*y. Suppose t*p + 0*p - 30 = 0. Calculate the smallest common multiple of 6 and p.
6
Let g(b) = -b**2 - 6*b - 3. Let s be g(-4). Let o = 14 - s. Suppose 4*u - 15 = 4*q + o, u + 4*q + 4 = 0. Calculate the least common multiple of 6 and u.
12
Let f be (3/9)/(1/12). Suppose p = 5, -f*j + 5*p = j + 95. Calculate the common denominator of 194/4 + (-7)/j and 3/4.
4
Let x = 397 + -361. What is the least common multiple of x and 6?
36
Suppose 33*p + 2183 = 21884. What is the lowest common multiple of p and 12?
2388
Suppose 5*u - 132 = -4*q, -4*u + 15 + 29 = q. Let d = 66 - q. Calculate the least common multiple of d and 16.
304
Let f be (-259)/(-35) + -7 + 343/5. Calculate the common denominator of 59/44 and (-197)/60*1 + (-46)/f.
220
Let k(w) = -w + 24. Let g be k(20). Let c(o) = o**2 - 6*o + 9. Let s be c(-7). Suppose -l = g*l - s. What is the smallest common multiple of l and 8?
40
Let j = 197 + -131. What is the least common multiple of 48 and j?
528
Find the common denominator of 7 + (-171)/27 + (-195)/(-10) and ((-222)/(-8))/((-3)/2).
6
Calculate the common denominator of -17*56/14*1/(-10) and -49/93.
465
Let p = 621531053/630 - 986557. What is the common denominator of -86/441 and p?
4410
Let r = -7921/348 - -88/87. What is the common denominator of r and ((-295)/(-4130))/((-24)/(-518))?
24
Let t(l) = -6*l + 2. Let f(k) = -k**3 + k**2 - k + 1. Let m be f(0). What is the least common multiple of 18 + m + -3 + 7 + -5 and t(-3)?
180
Let h = 10 + -12. Suppose 16 + 20 = 4*i. Calculate the lowest common multiple of i and h*2*6/(-8).
9
Let h(m) = -m**3 + 3*m**2 - 2*m - 2. Let b be h(2). What is the lowest common multiple of (50/(-15) - b)*-6 and 22?
88
Let b = 53/7 + -341/21. Let f = -2109 - -21183/10. What is the common denominator of b and f?
30
Suppose 0*v - 4530 = -6*v. Calculate the common denominator of -71/27 and v/168*1 - (-4)/(-14).
216
Suppose -5*j + 26 = -n - 4, j - n - 10 = 0. Suppose -j*m = -43 - 27. Calculate the lowest common multiple of m and 58.
406
Let u = 7471857/92 + -81215. Find the common denominator of u and 95/6.
276
Let d = -849/20 - -156/5. Let n = 16 - 19. Find the common denominator of (-1 - n) + (-92)/64 and d.
16
Calculate the least common multiple of (-2)/(-17) + (-12700)/(-425) and 48.
240
Suppose -35 = -3*y + 8*y. Let n = y - -8. Find the common denominator of 92/(-12) + -2*n and -15.
3
Let n = -84 + 39. Let j be (-542)/(-900) - (-10)/n. Let s = -667/275 + j. What is the common denominator of -123/20 and s?
220
Let h = -1010 - -1100. What is the smallest common multiple of h and 27?
270
Let g = -5 + 9. Calculate the least common multiple of 18 and g/(5/(225/10)).
18
Let p = 48 - 195/4. Let x = -123/1038277 - -29700103743/1605176242. Let v = -2/773 + x. Find the common denominator of p and v.
4
Find the common denominator of -47/27 and 2*(-129)/5976 + 12/144.
2241
Let z = -13 + 15. Suppose -h = -z - 10. Calculate the lowest common multiple of 18 and h.
36
Suppose -s - 9 = 3*c, 8*s + 5*c + 8 = 4*s. Suppose 3*t + a = 5 + 4, -s*t + a + 9 = 0. What is the smallest common multiple of t and 49?
147
Let i = -2/391 - -10561/782. What is the common denominator of 51/20 and i?
20
Let i = 33/256 - -1663/256. What is the common denominator of i and -14/15?
120
Let u = 1/3016117 - -70936055715/24128936. Let o = -2949 + u. Find the common denominator of o and 59/8.
8
Suppose 3*o = -5*o. Suppose -2*j + 3*j = o. Suppose 18 = y - j. Calculate the lowest common multiple of 4 and y.
36
Let o(q) = -q**2 + 9*q + 14. Let w be o(10). Suppose 3*p = -4*k + 26, 0*p = 3*k - w*p - 32. Calculate the smallest common multiple of 4 and k.
8
Let o = -16/527 - -28171/7905. Calculate the common denominator of -19/9 and o.
45
Let o = -135869/20 - -6795. Calculate the common denominator of -167/60 and o.
60
Let h = 899 + -5311/6. What is the common denominator of 45/(-30)*(-68)/(-168) and h?
84
Let c(l) = -3*l - 17. Calculate the least common multiple of 11 and c(-9).
110
Let t = -578 - -618. Calculate the least common multiple of 72 and t.
360
Let o = -5 + 8. Suppose 3*v - o*g + 6 = -27, -2*v = -g + 17. What is the common denominator of -3/4 and 20/(-9) - (v + 9)?
36
Let l = 1093 - 1085. Calculate the lowest common multiple of l and 88.
88
Let b = -1580197/217 - -7282. Let t = -21929/868 - b. Calculate the common denominator of 34/3 and t.
12
Let y = -251/36 - -92/9. Calculate the common denominator of y and 28/297.
1188
Let n = -1/13735 - -1579567/576870. What is the common denominator of 19/36 and n?
252
Let a(s) = -5*s - 44. Let l be a(-7). Let b = 22 - 36. Let j = l - b. What is the lowest common multiple of j and 10?
10
Let n be (114/45 - 2)*(-27)/(-684). Let u = n - -83/570. Find the common denominator of u and -91/6.
6
Let h = -21749 + 1152736/53. What is the common denominator of h and 16/477?
|
{
"pile_set_name": "DM Mathematics"
}
|
6 - t. Suppose 0 = h*u - 2*u - 3*a - 22, 0 = 4*a + 4. Is u a composite number?
False
Let a(m) be the first derivative of m**4/4 - 2*m**3 - m**2/2 + 3*m + 3. Let o be a(6). Is (-152)/o + (-2)/(-6) prime?
False
Let g be (-1 - 11)*1068/(-24). Suppose 4*r = 1978 + g. Let m = r + -305. Is m composite?
True
Suppose 3*v - 5*j - 22 = -j, 6 = v - j. Suppose 3*n = -3*p + 318, -2*p + 212 = -0*n - v*n. Is p a composite number?
True
Suppose 4*z - 73055 = o, 41*z + 18260 = 42*z + o. Is z prime?
False
Let n be ((-8)/28)/((-2)/14). Let p be ((-884)/8)/((-1)/n). Suppose t = -4*f + p, -t + 245 = -f - f. Is t a prime number?
False
Suppose 3*x = 2*k - 4 - 2, -10 = -2*k + 2*x. Suppose k*o - 3007 - 4751 = 0. Is o a prime number?
False
Suppose 0 = 81*i - 90*i + 13887. Is i prime?
True
Suppose -4*c = 2*d - 8316, 0*c - 3*c + d = -6227. Is c a composite number?
True
Suppose 0 = u - 2*v, 0 = u - 2*u + 4*v. Suppose -f - 4*l = -1075, -2*l = -u*f + f - 1081. Is f prime?
True
Suppose -3*v + 157313 + 5890 = 2*z, -108802 = -2*v + 2*z. Is v a prime number?
True
Suppose -d - 33215 = -6*d. Suppose -11*s + 30856 = -d. Is s prime?
False
Let x = 9732 - 1275. Is x a composite number?
True
Suppose -t = 3*t + 48. Let n be -1 - t/(2 - -2). Suppose 6*i = n*i + 2252. Is i a composite number?
False
Let o be 0 - 0/(-1) - -747. Let g be (16*23)/(-2*(-7)/(-14)). Let c = o + g. Is c a prime number?
True
Suppose -2*y + 3 = s, 0*s - 2*y = -3*s + 9. Let z(q) = 3*q - 2*q**2 - 9 + 9*q**s + 10*q**3 - 16*q**3. Is z(4) a composite number?
False
Let o(p) = -6*p**3 + 99*p**2 - 19*p + 219. Let a(r) = r**3 - 20*r**2 + 4*r - 44. Let q(s) = -11*a(s) - 2*o(s). Is q(-21) prime?
True
Suppose -3*p = 2*l + 3, 4*l - p + 3 = -4*p. Is (-7815)/(-15)*(l + 1) a prime number?
True
Let z(u) be the first derivative of -27*u**2 + 3*u - 3 + 3*u - 4*u - 5*u. Is z(-5) a prime number?
False
Is (274/(-6))/(16/(-1968)) a composite number?
True
Suppose -9 = -u + 2*x, x = -4*u - u + 12. Let h(z) = -z - 3*z + u - z. Is h(-10) a composite number?
False
Let v = 4617 + 3045. Let g = v + -2585. Is g composite?
False
Let i = 1079 - -898. Is i composite?
True
Let a(m) = -33*m**3 - 13*m**2 + 12*m - 5. Is a(-6) a prime number?
False
Suppose -b = 4*b + 10. Is (-1)/b - 77/(-2) composite?
True
Let a be -2 + 9/(27/24). Is -586*(9/a + -2) a prime number?
True
Let m(v) = 8*v**2 + 8. Let b be m(-6). Suppose 4*w = 4*d - b, 0 = 2*d - w + 2*w - 145. Suppose d - 228 = -5*g. Is g a prime number?
True
Suppose 0 = -14*p + 13*p + 559. Let w = 1100 - p. Is w composite?
False
Let t = 1225 - -2674. Is t a composite number?
True
Let n = -5283 - -14134. Is n a prime number?
False
Suppose -30*j = -31*j + 2. Suppose -2*i + 183 = 2*a - 329, -i - 497 = -j*a. Is a composite?
False
Let m = -46 - -5952. Is m prime?
False
Is (-21)/126 + 58*(-2302)/(-24) a prime number?
True
Let z(g) = 3*g**3 - 4*g**2 + 3*g - 1. Let t be z(1). Let m(q) = 679*q**3 - 2*q**2 + q - 1. Is m(t) a prime number?
True
Suppose -24 + 89 = 13*c. Is 582/4*(-1 - c/(-3)) a prime number?
True
Let t be (-2)/10 + 52/10. Suppose -3*h + t*h = 462. Let j = h + -134. Is j a composite number?
False
Suppose 8*x - 5676 = 2*x. Suppose 2*o - x = -0*o. Is o composite?
True
Suppose -3*s - 24*w + 25*w = -344633, w = -2*s + 229752. Is s a composite number?
True
Let v be 233/(-3) + 1/(-3). Let s = v + -64. Let i = -59 - s. Is i prime?
True
Let t(c) = 898*c**2 + 6*c - 9. Let w be t(2). Let k = w + -2402. Is k a composite number?
False
Let r(s) be the second derivative of -7/2*s**2 - s**4 - 7*s + 0 - 1/20*s**5 + 17/6*s**3. Is r(-16) prime?
False
Let u = -42 + 12. Let n = 22 + u. Let j = 3 - n. Is j a composite number?
False
Suppose 5*u = 1065 + 6430. Is u a composite number?
False
Let i(b) = -38*b**2 - 1. Let a be 12/(-7) - 18/63. Let w be i(a). Let h = w - -332. Is h a composite number?
False
Suppose 45015 + 80891 = 22*l. Is l composite?
True
Let n(z) = z**3 - 7*z - 14*z**2 + 6*z**2 - 2*z**2 + 13. Is n(12) a composite number?
True
Suppose -397*n + 378*n = -750538. Is n composite?
True
Let l(z) = z**2 - 16*z + 6. Let d be l(16). Suppose k = -c + d*k + 1491, -4409 = -3*c - k. Is c prime?
True
Let t(i) = -2*i**3 + 6*i**2 - i + 2. Let n be t(4). Let q be n/(-8) - (-1)/(-4). Is (1 + 37)/(q/10) prime?
False
Suppose 43208 = 10*w - 70722. Is w prime?
True
Is -4 + (5629 - (-42)/7) prime?
False
Let q(f) = 17 + 3*f - 10 + 57*f**2 + 44*f**2 - 10. Let k = 6 - 4. Is q(k) a prime number?
False
Is 14352 + 2*1*3/(-2) a composite number?
True
Let t(w) = -2728*w - 787. Is t(-30) a composite number?
True
Is (117/18 - 7)/(1/(-758)) a composite number?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
61))/(j/7). Let f be 7/(-126)*r - 1/66. Which is the third biggest value? (a) 5 (b) -0.13 (c) f
c
Let g = -16.7 - -17.1. Let m = 309 + -307. Which is the second smallest value? (a) m (b) 0.1 (c) 4 (d) g
d
Let z = -0.2 + 4.2. Let m be 42/63*-6*(1 - 2). Let i be 7*(210/49 - m). What is the second biggest value in i, z, -3?
i
Suppose -8*o + 11*o + 5*m = -28, 5*o + m + 10 = 0. Let t = 0.11 - 4.21. Let l = t - -4. What is the third smallest value in l, -3/8, o?
l
Let s = 1/4995 - -997/9990. Which is the fifth smallest value? (a) 0.2 (b) 3 (c) 5 (d) -0.4 (e) s
c
Let s(i) = -2*i + 3*i + 3*i + 23 - 5*i. Let o be s(23). Let k = -0.7 - 3.3. Which is the second smallest value? (a) o (b) 0.5 (c) k
a
Let h be 2112/14592 - (-2)/(-8). What is the second biggest value in h, -4, -3/5, 17?
h
Let l = -10305 - -10312. Which is the biggest value? (a) l (b) 2 (c) -15
a
Let j = -2.48 + -1.52. Let q = 120 + -120.18. Which is the biggest value? (a) 2/9 (b) q (c) -4/3 (d) j
a
Let f = 193/895 - -33/179. Which is the smallest value? (a) f (b) 1115 (c) -0.2
c
Let u = -263 + 568. Let o = -289 + u. What is the smallest value in o, -0.4, -5, 0.3?
-5
Let x = -0.6 - -1.2. Let z = -0.6 + x. Let t = 2704.9 + -2705. Which is the second biggest value? (a) -2/17 (b) 2/5 (c) t (d) z
d
Let l = -0.25 - -0.12. Let y = -49764 - -49764.5. What is the biggest value in -1, y, l, 2?
2
Let m = 8804 - 8759.91. Let r = m + -44. Let l be (-26)/39 + 16/15. What is the smallest value in r, l, -1/6?
-1/6
Let k = -277 - -267. Let q be (-8 - -10)*(-4)/k. Which is the third smallest value? (a) q (b) -3 (c) -0.3
a
Let f be (-12)/(-42)*-14 + 293 + 0. Let t = f - 292. Which is the second biggest value? (a) 110 (b) t (c) 4
c
Let o = -931 - -934. What is the smallest value in -0.01, o, -35?
-35
Let d be 58/(-8) + 2*17 + 757 + -783. Let c = -3 - -3.2. What is the fourth biggest value in 0.6, 10, d, c?
c
Let x = -23 + 23.5. Let n = -305 - -309. Which is the smallest value? (a) n (b) 2/17 (c) x (d) 2/3
b
Let y = 251 - 153. Let d = -68 + y. Let b = -33 + d. What is the smallest value in b, 1, 0.9?
b
Suppose 159*b = -152*b + 322*b - 66. What is the smallest value in -2, -4, b, 22, -5?
-5
Let a = -2.35 - -2.35. Let g = 0.2037 - -1.7963. What is the biggest value in -0.01, -4, a, g?
g
Suppose 5753 = 44*c - 20191 - 10356. What is the biggest value in 1, c, -0.4?
c
Let o = -5 - -10. Let a = 6809 + -6787. What is the third biggest value in -5, 0, a, o?
0
Let k be (5/(-1))/((-2)/(-6)). Let n = 2695 - 2695.2. What is the second biggest value in k, n, 4?
n
Suppose 0 = -3*w - 37 + 82. Let t be (-62)/w - (-37 - -33). Which is the third biggest value? (a) t (b) 2/9 (c) -2
c
Let y = -1605/7 - -229. Let g = 137 - 136. Which is the biggest value? (a) g (b) -4 (c) 2/17 (d) y
a
Let v = -99/328 + -3/41. Let m = 18154 + -18151. Which is the second biggest value? (a) v (b) m (c) 39
b
Let y = -204.6 - -204.57. Let v = -0.04 + -0.26. Which is the third smallest value? (a) y (b) v (c) 3 (d) 1
d
Suppose 2707 + 1762 - 752 = -1239*c. Let i = -1.8 - -1.87. Let z = i - 0.37. What is the second smallest value in -2/11, z, 6/7, c?
z
Let s = -119 - -216. Let j = s - 96.5. Let y be 1 - 0 - 1 - -1. Which is the third smallest value? (a) -0.6 (b) y (c) j
b
Let n = -241.63 - -62.63. What is the third smallest value in -1/3, 0.5, -1/7, n?
-1/7
Let j be 37/10 - (7 - 3). Which is the third biggest value? (a) j (b) 7 (c) 2
a
Let l = -20613 - -20611. What is the biggest value in -1, -4420, l?
-1
Let f = 4.3445 + -1.3445. Let u = 0.4 + -1.6. Which is the smallest value? (a) f (b) 0.1 (c) u
c
Let t(h) = -h**3 - 7*h**2 + 3*h + 17. Let k be t(-7). Let x be 0 + -6*(-7)/126. Which is the second smallest value? (a) -1 (b) x (c) k (d) -2
d
Let v = -1336 - -1335.99. Let c(i) = -i**3 - 11*i**2 - 10*i - 1. Let a be c(-10). What is the smallest value in a, v, 2, 2/7?
a
Let g = -0.7 - -1.1. Let x = 2.357 - -0.043. Let s = x - 5.4. Which is the second biggest value? (a) 40 (b) g (c) s
b
Let k = 145 - 288. Let c be (-22)/k + 68/65. What is the biggest value in 2/21, c, -0.15?
c
Let c = -183156 - -183151. Let p(j) = -j**2 - 7*j - 2. Let i be p(-7). What is the biggest value in -0.53, i, c?
-0.53
Let v = -59.1 + 7.8. Let x = v + 50.9. What is the second smallest value in x, 7, -0.3, -5?
x
Suppose 1045*d - 1090*d = 0. What is the smallest value in d, -6106, -1/5?
-6106
Let z = 3.03 +
|
{
"pile_set_name": "DM Mathematics"
}
|
-1241, 1 in decreasing order.
5, 3, 1, -18, -54, -1241
Put 9, -2, -10, -93, -28 in decreasing order.
9, -2, -10, -28, -93
Sort 0.49, -1, -3/4804.
-1, -3/4804, 0.49
Sort 4, -37, -1141, 2587 in decreasing order.
2587, 4, -37, -1141
Put 6/7, 0.4, -0.6, -1.5346, 1/103 in increasing order.
-1.5346, -0.6, 1/103, 0.4, 6/7
Sort 6567, -4, -73, 100.
-73, -4, 100, 6567
Sort -4, -6, 7, -9, -15, 2, -5 in ascending order.
-15, -9, -6, -5, -4, 2, 7
Sort 0.13, -1/3, 1, -251, 3.4.
-251, -1/3, 0.13, 1, 3.4
Sort -187, -9, -1, 15, 3, 14, -2 in increasing order.
-187, -9, -2, -1, 3, 14, 15
Put -6, 0.78484, -184 in descending order.
0.78484, -6, -184
Sort 31586, 3, -390.
-390, 3, 31586
Sort 1, 4, -12, -442283 in descending order.
4, 1, -12, -442283
Sort -4, 5, -5, 78, 151, 1, -415.
-415, -5, -4, 1, 5, 78, 151
Sort -5, 0.3, -0.2, 21220 in decreasing order.
21220, 0.3, -0.2, -5
Put -27/5, -587, 0.8 in descending order.
0.8, -27/5, -587
Put 5, 72, -8, -24 in increasing order.
-24, -8, 5, 72
Put 1, 1/8579, -1.4, 5, -0.6 in decreasing order.
5, 1, 1/8579, -0.6, -1.4
Sort -0.03, -44.1, -1347, 7 in increasing order.
-1347, -44.1, -0.03, 7
Put -6, 2, 5, 4, 118, -5, -152 in descending order.
118, 5, 4, 2, -5, -6, -152
Put 83712, -5, 2, -10, 5 in decreasing order.
83712, 5, 2, -5, -10
Sort -4, -1, 3, 5, -216194 in ascending order.
-216194, -4, -1, 3, 5
Sort -1421, -3/2, -2208, -1/2 in descending order.
-1/2, -3/2, -1421, -2208
Put -5955, -41, 165 in increasing order.
-5955, -41, 165
Put -6, 2, -2, 1005, -235 in ascending order.
-235, -6, -2, 2, 1005
Sort -1, 9, 36, 1, 4, -35, -4 in decreasing order.
36, 9, 4, 1, -1, -4, -35
Sort -16902, 8, -2, 1 in descending order.
8, 1, -2, -16902
Sort -0.4, -129, -0.3061, 0 in descending order.
0, -0.3061, -0.4, -129
Sort 53, 3, 11, -7940.
-7940, 3, 11, 53
Sort -3, -193, 1204666.
-193, -3, 1204666
Sort 5, -29, 53, -4, -3, 0 in decreasing order.
53, 5, 0, -3, -4, -29
Sort 5/2, -7, -1/2, 2, 1/7, -0.28 in descending order.
5/2, 2, 1/7, -0.28, -1/2, -7
Sort 13, 2, 0, -6, -2, -3875.
-3875, -6, -2, 0, 2, 13
Sort -3, -1, 83269, 0.
-3, -1, 0, 83269
Sort 116, -63, -5, -76, 0, 2 in decreasing order.
116, 2, 0, -5, -63, -76
Put -54, 12, -66/7, 0, 1/5 in descending order.
12, 1/5, 0, -66/7, -54
Sort 7, -4, 115, -315, -5 in ascending order.
-315, -5, -4, 7, 115
Put 5, -4, 820, 488, 11 in ascending order.
-4, 5, 11, 488, 820
Put 44, 1/2493, 3, 0.25 in decreasing order.
44, 3, 0.25, 1/2493
Sort 3, -94, -0.5, 39, -1.403 in decreasing order.
39, 3, -0.5, -1.403, -94
Put 343, 86.432, 3 in increasing order.
3, 86.432, 343
Put -26, -3, -3382, 0.1 in descending order.
0.1, -3, -26, -3382
Sort -48, -3, -25, 4, 720 in decreasing order.
720, 4, -3, -25, -48
Put -10, -298, -270 in descending order.
-10, -270, -298
Sort -45, -2, 1875, 1, -1, -3 in increasing order.
-45, -3, -2, -1, 1, 1875
Put 0.078, -0.06, 3319 in ascending order.
-0.06, 0.078, 3319
Sort -27, 0, -0.4, -44, 0.1304 in descending order.
0.1304, 0, -0.4, -27, -44
Sort 3, 4040, -4, -362.
-362, -4, 3, 4040
Sort 16043, -2, -4, 1 in increasing order.
-4, -2, 1, 16043
Put -4, -138, 4, 3, -33, 0, 1 in increasing order.
-138, -33, -4, 0, 1, 3, 4
Sort -72, 167717, -6.
-72, -6, 167717
Put -3, 65, -961585 in descending order.
65, -3, -961585
Sort 1, -9, -3/4, 17, -2/101.
-9, -3/4, -2/101, 1, 17
Put 68, 27, 249.7 in descending order.
249.7, 68, 27
Sort 13, 134, -27422.
-27422, 13, 134
Put -1/9, -1.92, -0.3, -8, 2, -1 in descending order.
2, -1/9, -0.3, -1, -1.92, -8
Sort -2, 2, -188, -12143, -4 in ascending order.
-12143, -188, -4, -2, 2
Sort -0.125488, 32, -3 in decreasing order.
32, -0.125488, -3
Sort -1, -27/7, 0.01377, 29 in decreasing order.
29, 0.01377, -1, -27/7
Put -1, 15210532, -17 in ascending order.
-17, -1, 15210532
Sort -27, -2, 3, -22, 1, 15, 2 in descending order.
15, 3, 2, 1, -2, -22, -27
Put 30, -40858, -8 in descending order.
30, -8, -40858
Put -25, -4, -9/11, -32/187 in descending order.
-32/187, -9/11, -4, -25
Sort -32/11, 2/3, 4.934, 4.
-32/11, 2/3, 4, 4.934
Put -1/2, -3, 41.114 in decreasing order.
41.114, -1/
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate prob of sequence ed when two letters picked without replacement from {x: 4, d: 9, e: 1}.
9/182
What is prob of sequence no when two letters picked without replacement from {n: 2, o: 10}?
5/33
Three letters picked without replacement from {m: 1, l: 1, u: 1, y: 2, n: 2}. What is prob of sequence mnu?
1/105
Calculate prob of sequence fzm when three letters picked without replacement from ymzzzyf.
1/70
Four letters picked without replacement from {p: 1, z: 5, s: 1, v: 4, n: 7, l: 2}. What is prob of sequence svpv?
1/9690
Two letters picked without replacement from {r: 1, j: 3, g: 2, k: 3, l: 3, y: 2}. What is prob of sequence gj?
3/91
Calculate prob of sequence urgu when four letters picked without replacement from ubguruvgu.
1/126
Four letters picked without replacement from {i: 1, p: 5, y: 1, z: 2, r: 3, e: 1}. What is prob of sequence ierz?
1/2860
What is prob of sequence qj when two letters picked without replacement from ibbjq?
1/20
Calculate prob of sequence vlvv when four letters picked without replacement from {v: 3, l: 3}.
1/20
What is prob of sequence nn when two letters picked without replacement from {t: 1, d: 1, n: 2, s: 2, e: 1}?
1/21
Three letters picked without replacement from zrrrrtzrrtrz. What is prob of sequence tzr?
7/220
What is prob of sequence bmm when three letters picked without replacement from {m: 14, b: 5}?
455/2907
Three letters picked without replacement from {o: 2, g: 1, y: 1, u: 1, n: 2, i: 1}. Give prob of sequence yin.
1/168
Calculate prob of sequence ps when two letters picked without replacement from {p: 5, s: 7, x: 3, l: 2}.
35/272
What is prob of sequence xbxw when four letters picked without replacement from {b: 4, w: 3, d: 6, x: 2}?
1/1365
Four letters picked without replacement from bgdgbwb. What is prob of sequence bwgd?
1/140
Two letters picked without replacement from keekkeekkekkkkkkek. What is prob of sequence ke?
4/17
Calculate prob of sequence ccct when four letters picked without replacement from {t: 15, c: 3}.
1/816
Calculate prob of sequence qq when two letters picked without replacement from {s: 1, j: 11, q: 3, r: 4}.
1/57
Two letters picked without replacement from {q: 10}. What is prob of sequence qq?
1
Four letters picked without replacement from {o: 1, c: 6, i: 3, g: 1, v: 3}. What is prob of sequence gici?
3/2002
Calculate prob of sequence umg when three letters picked without replacement from {m: 3, u: 6, g: 4, v: 6}.
4/323
Two letters picked without replacement from onfbnfnbfbfboonbsf. What is prob of sequence bn?
10/153
Calculate prob of sequence rw when two letters picked without replacement from {v: 2, o: 3, r: 1, w: 1}.
1/42
Two letters picked without replacement from {m: 6, d: 7}. Give prob of sequence mm.
5/26
Two letters picked without replacement from {z: 2, d: 11}. Give prob of sequence zz.
1/78
Calculate prob of sequence ke when two letters picked without replacement from {m: 2, e: 3, z: 4, k: 1}.
1/30
What is prob of sequence pjt when three letters picked without replacement from {p: 4, j: 5, t: 6, h: 1}?
1/28
Three letters picked without replacement from eeeaeeoaeoe. What is prob of sequence aoe?
14/495
Calculate prob of sequence pppj when four letters picked without replacement from jjjpjjppjjpjjj.
10/1001
Two letters picked without replacement from {q: 5, f: 11}. What is prob of sequence qq?
1/12
Four letters picked without replacement from {v: 2, n: 4, i: 1, l: 2, x: 5}. What is prob of sequence lixx?
5/3003
Three letters picked without replacement from zznnnnnz. Give prob of sequence nnz.
5/28
Calculate prob of sequence qrq when three letters picked without replacement from rrqqqrrrqqrrqrrrrr.
5/68
What is prob of sequence nyy when three letters picked without replacement from nnnnyynyyynnyynnnnn?
28/323
What is prob of sequence zcyy when four letters picked without replacement from zczzczcyyczczyc?
3/455
What is prob of sequence kk when two letters picked without replacement from kkkkk?
1
Two letters picked without replacement from {n: 9, c: 10}. What is prob of sequence cn?
5/19
What is prob of sequence pf when two letters picked without replacement from {p: 6, f: 1, r: 3, w: 5}?
1/35
Calculate prob of sequence ffff when four letters picked without replacement from yyffyfffyfyyyyyyyy.
1/204
Two letters picked without replacement from fkoottpg. Give prob of sequence gt.
1/28
Four letters picked without replacement from {q: 7, z: 4}. What is prob of sequence zzzq?
7/330
What is prob of sequence ffff when four letters picked without replacement from fefffffffffffff?
11/15
Calculate prob of sequence izu when three letters picked without replacement from iuyuzdy.
1/105
Calculate prob of sequence vl when two letters picked without replacement from {l: 1, v: 1, e: 1}.
1/6
Three letters picked without replacement from {r: 5, n: 9}. What is prob of sequence nnn?
3/13
Calculate prob of sequence zkx when three letters picked without replacement from {x: 1, w: 2, z: 1, k: 1, h: 2, c: 2}.
1/504
Four letters picked without replacement from fifcoihijhoo. What is prob of sequence oiii?
1/660
Two letters picked without replacement from bbntwfcnc. What is prob of sequence ct?
1/36
Calculate prob of sequence xi when two letters picked without replacement from aaaaaxaxaiaoaaioxxo.
4/171
Four letters picked without replacement from {h: 14, o: 1}. What is prob of sequence hhhh?
11/15
What is prob of sequence zz when two letters picked without replacement from {z: 4, k: 3}?
2/7
Four letters picked without replacement from {g: 3, m: 1, v: 1, z: 6, c: 2}. Give prob of sequence zcgc.
3/1430
What is prob of sequence cxdx when four letters picked without replacement from {m: 2, x: 3, c: 1, s: 1, j: 1, d: 4}?
1/495
What is prob of sequence ox when two letters picked without replacement from {h: 2, j: 1, o: 1, n: 3, q: 3, x: 3}?
1/52
Two letters picked without replacement from zxxzmmzmmlz. What is prob of sequence mm?
6/55
What is prob of sequence jj when two letters picked without replacement from jppjpjpppppjpp?
6/91
Three letters picked without replacement from {d: 13, r: 3, j: 4}. Give prob of sequence jjd.
13/570
Four letters picked without replacement from {n: 5, t: 1, l: 1, x: 3, z: 1}. Give prob of sequence xzlx.
1/1320
Four letters picked without replacement from {o: 1, c: 1, e: 2, u: 1, g: 4, p: 3}. Give prob of sequence eepg.
1/495
Three letters picked without replacement from {f: 2, l: 1, e: 4, t: 2, x: 4, g: 1}. Give prob of sequence fxg.
1/273
What is prob of sequence br when two letters picked without replacement from {r: 2, b: 11}?
11/78
Calculate prob of sequence gveh when four letters picked without replacement from eevhhevtghh.
1/330
Four letters picked without replacement from vatavvvatv. What is prob
|
{
"pile_set_name": "DM Mathematics"
}
|
rst derivative of 2*y**5 + y**4/4 - 5*y**2/2 - 15*y + 213. Find the second derivative of q(b) wrt b.
120*b**2 + 6*b
Let l(y) be the second derivative of -53*y**6/15 - 4*y**3/3 - 2*y**2 + 13*y - 3. What is the second derivative of l(x) wrt x?
-1272*x**2
Let f = -3006 + 3010. Let h(c) be the second derivative of 0*c**3 + 0*c**2 + 2/3*c**f + 0 + 0*c**5 - 1/10*c**6 + 14*c. Find the third derivative of h(w) wrt w.
-72*w
Let g(x) be the second derivative of 167*x**5/4 - x**3/2 + 93*x**2 + 39*x - 5. Find the second derivative of g(h) wrt h.
5010*h
Let y(c) = -68*c**4 + c**3 - 94*c**2 + 4*c - 3. Let p(b) = -b**4 - b**3 + b**2 - b + 1. Let z(l) = 3*p(l) + y(l). Find the third derivative of z(f) wrt f.
-1704*f - 12
Find the third derivative of c + 19*c**2 + c - 884*c**4 + 736*c**4 - 2*c wrt c.
-3552*c
Let c(n) = 15*n + 12. Let r(q) = q**3 + 20*q**2 + 20*q + 24. Let i be r(-19). Let p(u) = u - 1. Let d(h) = i*p(h) - c(h). What is the derivative of d(k) wrt k?
-10
Differentiate 3298 + 52*d - 1646 - 1654 + 2*d**2 - d**2 wrt d.
2*d + 52
Let w(d) = -131*d**3 - 11*d**2 - 92*d - 11. Let n(p) = -33*p**3 - 3*p**2 - 23*p - 3. Let i(g) = 22*n(g) - 6*w(g). What is the second derivative of i(y) wrt y?
360*y
Suppose 23 + 21 = 11*q. Let s(w) be the third derivative of -1/15*w**6 - 1/3*w**3 + 0*w**q + 0 + 0*w**5 + 6*w**2 + 0*w. What is the derivative of s(o) wrt o?
-24*o**2
Let k(i) = 19*i**3 + 7*i**2 - 9*i - 257. Let f(a) = 9*a**3 + 4*a**2 - 5*a - 129. Let q(u) = 7*f(u) - 4*k(u). What is the first derivative of q(j) wrt j?
-39*j**2 + 1
What is the derivative of 72*f - 20*f + 39 - 6*f wrt f?
46
Let r(k) = 31*k + 7 + 7*k**3 - 26*k - 40. Let c(u) = 7*u**3 + 4*u - 32. Let m(o) = -5*c(o) + 4*r(o). Differentiate m(f) with respect to f.
-21*f**2
Find the first derivative of -190*g**4 + 34*g**4 - 168*g**4 - 20*g**4 - 479 + 341 wrt g.
-1376*g**3
Let x(t) = -t + 1. Let y(b) = 6*b + 22. Suppose -20 = -5*f - 35. Let i(h) = f*x(h) - y(h). What is the derivative of i(q) wrt q?
-3
What is the third derivative of -507*a**3 - 66*a + 97*a - 83*a**2 + 92*a**2 wrt a?
-3042
Find the second derivative of 102*g + 87*g**3 + 7*g**3 - 8*g wrt g.
564*g
Suppose -11*i = -25 - 19. Let w(k) be the second derivative of 1/10*k**5 + 0 + 1/3*k**i + 0*k**3 - 5*k + 0*k**2. What is the third derivative of w(z) wrt z?
12
What is the second derivative of 10*x**4 - 20 - 78*x**2 - x + 64*x**2 + 5*x + 4 + 0*x wrt x?
120*x**2 - 28
Let o(l) = -233*l**3 + 110*l**2. Let m(b) = 467*b**3 - 220*b**2. Let y(i) = 3*m(i) + 7*o(i). Find the third derivative of y(j) wrt j.
-1380
Let d(n) = 4*n - 41. Let s be d(11). Find the second derivative of 251*a + 10*a**s - 259*a + 23*a**3 wrt a.
198*a
Let o(i) be the first derivative of 1/2*i**2 + 26*i + 7. Differentiate o(t) with respect to t.
1
Let b(n) = -n - 1. Let p(y) = -5*y**4 + 5*y + 8. Let l = 3 - 5. Let r be -1*-2*1/l. Let i(c) = r*p(c) - 5*b(c). What is the first derivative of i(g) wrt g?
20*g**3
Suppose -4*f - 1 = 11. Let i(z) = z**4 - 10*z + 3. Let x(d) = 9*d - 2. Let b(j) = f*x(j) - 2*i(j). Find the second derivative of b(t) wrt t.
-24*t**2
Let o(r) be the second derivative of 400*r**3/3 + 198*r**2 - 2*r + 2. What is the first derivative of o(w) wrt w?
800
Suppose 7*q + 2 = 30. Find the second derivative of -11*y + 21*y**q + 384*y**2 - 384*y**2 wrt y.
252*y**2
Let q(w) = 8*w + 6. Let h(k) = k - 1. Suppose -f + v = 0, 3*f + 3*v = 6 + 18. Let b(c) = f*h(c) + q(c). Differentiate b(l) wrt l.
12
Let p(j) be the second derivative of 0 - 8/3*j**3 + 0*j**2 + j**4 + 25*j. Find the second derivative of p(d) wrt d.
24
Let d(c) = 286*c**4 - 3*c**3 - 14*c**2 + 6*c + 3. Let g(a) = a**4 + a**3 + 2*a**2 - 2*a - 1. Let q(o) = d(o) + 3*g(o). Find the third derivative of q(n) wrt n.
6936*n
What is the third derivative of -16 - 2*c**2 + 13 - 3*c**2 - 2*c**2 - 6*c**2 + 45*c**3 wrt c?
270
Let y(c) be the third derivative of -71*c**5/60 - 11*c**4/6 - c**2 + c. Find the second derivative of y(p) wrt p.
-142
What is the second derivative of -80*b**2 - 156*b**2 + 259*b - 66*b**2 - 93*b**2 - 25*b**2 wrt b?
-840
Suppose 9 = 3*s + 6. Find the first derivative of 6 + 13 + 13*g**2 + s - 2 wrt g.
26*g
Let x(n) be the third derivative of n**6/90 + 5*n**4/12 + 5*n**3/6 + 12*n**2. Let y(i) be the first derivative of x(i). Differentiate y(o) wrt o.
8*o
Suppose -2*n - 2 = 0, -3*t - 4*n -
|
{
"pile_set_name": "DM Mathematics"
}
|
190218 and 10999.
647
Calculate the greatest common divisor of 602712 and 54.
18
What is the greatest common divisor of 675064 and 26?
26
Calculate the greatest common factor of 1800 and 1410480.
360
What is the greatest common factor of 56988 and 2988?
36
What is the highest common factor of 1584 and 539352?
792
What is the highest common factor of 184402 and 411?
137
Calculate the highest common factor of 4838 and 1886.
82
Calculate the highest common divisor of 25 and 171575.
25
Calculate the highest common factor of 4290 and 675480.
390
Calculate the greatest common divisor of 93 and 5607621.
93
What is the highest common factor of 161 and 122705?
23
What is the greatest common divisor of 1303623 and 9?
9
Calculate the greatest common divisor of 158 and 226019.
79
What is the greatest common divisor of 520948 and 29563?
799
What is the greatest common divisor of 326574 and 3?
3
What is the greatest common factor of 6516 and 905?
181
What is the highest common factor of 630 and 11430?
90
What is the highest common factor of 564 and 36566?
94
Calculate the greatest common factor of 493255 and 680.
85
What is the greatest common divisor of 235 and 640939?
47
What is the highest common factor of 23655 and 13965?
285
What is the highest common divisor of 4 and 40126?
2
Calculate the highest common factor of 813309 and 21.
21
Calculate the highest common factor of 133614 and 234.
234
Calculate the greatest common factor of 8614578 and 42.
42
Calculate the greatest common factor of 188 and 12.
4
Calculate the greatest common factor of 47159 and 7.
7
What is the highest common factor of 1762600 and 300?
100
What is the greatest common factor of 18 and 449802?
18
Calculate the greatest common divisor of 192 and 11976.
24
Calculate the highest common factor of 153 and 16881.
51
Calculate the highest common divisor of 249924 and 10620.
708
What is the highest common divisor of 113848 and 266?
266
What is the highest common factor of 980 and 175?
35
What is the greatest common divisor of 23 and 35857?
23
What is the greatest common divisor of 384 and 9088?
128
Calculate the highest common factor of 83910 and 310.
10
What is the greatest common factor of 277 and 4432?
277
Calculate the greatest common divisor of 17679 and 30129.
249
What is the highest common divisor of 352 and 9008?
16
Calculate the highest common divisor of 9774 and 11394.
54
Calculate the greatest common divisor of 9766 and 1406.
38
What is the greatest common factor of 31 and 444044?
31
What is the highest common factor of 427 and 646478?
427
What is the greatest common factor of 1290 and 78060?
30
What is the greatest common factor of 1736 and 7502?
62
What is the highest common divisor of 781407 and 15147?
891
Calculate the greatest common divisor of 5346 and 744.
6
What is the greatest common factor of 719531 and 785?
157
Calculate the greatest common divisor of 108 and 28572.
12
What is the highest common divisor of 2073 and 3455?
691
What is the highest common factor of 3533324 and 4?
4
Calculate the greatest common factor of 280 and 11800.
40
What is the highest common divisor of 207 and 13886181?
207
Calculate the highest common divisor of 94805 and 9339.
283
What is the greatest common factor of 1089 and 672881?
121
Calculate the greatest common divisor of 452 and 782751.
113
Calculate the greatest common divisor of 6035 and 8755.
85
What is the highest common divisor of 162 and 22284?
18
What is the highest common divisor of 720 and 1670040?
360
Calculate the highest common divisor of 121 and 357280.
11
What is the greatest common divisor of 14936 and 328?
8
Calculate the highest common divisor of 3103256 and 563.
563
What is the highest common divisor of 75 and 504375?
75
What is the highest common divisor of 91 and 36101?
13
What is the greatest common divisor of 74844 and 18?
18
What is the highest common divisor of 183 and 1094523?
183
Calculate the highest common divisor of 69 and 1082127.
69
What is the highest common divisor of 44200 and 26260?
260
Calculate the greatest common factor of 1546394 and 94.
94
Calculate the highest common divisor of 2 and 303878.
2
What is the highest common divisor of 333874 and 1358?
194
Calculate the greatest common divisor of 3335 and 4945.
115
What is the highest common factor of 1039675 and 70525?
2275
What is the greatest common divisor of 2775 and 53025?
75
What is the highest common divisor of 140 and 17260?
20
Calculate the highest common factor of 49125 and 60.
15
What is the highest common factor of 446149 and 11?
11
Calculate the highest common divisor of 26102 and 62.
62
What is the greatest common divisor of 38260 and 130?
10
Calculate the highest common factor of 27669 and 8280.
69
What is the greatest common factor of 75994 and 28?
2
What is the greatest common factor of 24125 and 1?
1
What is the highest common factor of 3457830 and 30?
30
What is the highest common factor of 2 and 13698?
2
Calculate the highest common factor of 24259 and 68.
17
What is the highest common factor of 244 and 2308667?
61
What is the highest common divisor of 2160 and 45680?
80
Calculate the greatest common factor of 896254 and 1370.
274
Calculate the highest common divisor of 64779 and 156.
39
What is the greatest common factor of 751 and 122413?
751
What is the highest common divisor of 8 and 4081?
1
Calculate the highest common factor of 1780 and 32396.
356
Calculate the highest common factor of 17339 and 7.
7
What is the highest common factor of 34 and 156?
2
Calculate the highest common factor of 265240 and 3040.
760
Calculate the greatest common factor of 426105 and 10.
5
Calculate the greatest common divisor of 88050 and 5.
5
Calculate the greatest common divisor of 2730 and 98.
14
Calculate the highest common divisor of 2185 and 741.
19
Calculate the greatest common factor of 1925 and 5335.
55
What is the highest common divisor of 412546 and 4?
2
Calculate the highest common factor of 16039 and 2021.
43
What is the highest common factor of 217 and 26877?
31
What is the greatest common divisor of 4071 and 7257?
177
What is the greatest common divisor of 1542 and 3378?
6
What is the greatest common divisor of 200 and 6758?
2
Calculate the greatest common divisor of 10045 and 1845.
205
Calculate the greatest common factor of 52250 and 4845.
95
What is the highest common factor of 948 and 20880?
12
What is the greatest common factor of 6721 and 1001?
143
What is the highest common divisor of 4089 and 35391?
141
What is the greatest common divisor of 333 and 9117?
9
Calculate the greatest common factor of 112311 and 63.
9
What is the greatest common divisor of 1172 and 7943816?
1172
Calculate the greatest common divisor of 6058 and 68968.
466
What is the highest common factor of 21388 and 32?
4
What is the highest common factor of 12432 and 12768?
336
Calculate the greatest common divisor of 10878 and 999.
111
Calculate the greatest common factor of 874 and 27892.
38
Calculate the greatest common factor of 13 and 248183.
13
Calculate the greatest common divisor of 20750876 and 1081.
1081
What is the greatest common divisor of 212054 and 458?
458
Calculate the highest common factor of 5 and 103465.
5
Calculate the highest common factor of 2376 and 3699.
27
What is the highest common divisor of 666 and 96?
6
What is the highest common divisor of 4125 and 54648?
33
Calculate the highest common factor of 1084 and 321677.
271
What is the highest common divisor of 2641180 and 20?
20
Calculate the highest common divisor of 23 and 28957.
23
What is the highest common factor of 23862 and 9840?
246
What is the highest common factor of 594 and 341?
11
Calculate the greatest common factor of 141775 and 530.
265
Calculate the greatest common factor of 176 and
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{
"pile_set_name": "DM Mathematics"
}
|
for l.
4
Solve 266*g + 1826 = -2458 + 294 for g.
-15
Solve 24 - 47 + 23 = -47*d for d.
0
Solve 184*n = -83*n + 2937 for n.
11
Solve 82*q + 1408 = 134*q + 576 for q.
16
Solve 0 = -17*m - 4*m + 264 + 135 for m.
19
Solve 1811*c = 1821*c + 100 for c.
-10
Solve -8684 = 94*y + 574*y for y.
-13
Solve 0 = -221*p - 235*p - 234*p + 751*p for p.
0
Solve -42677 + 40976 = -63*p for p.
27
Solve 84*u = -2181 + 2601 for u.
5
Solve 1589*k + 44 = 1600*k for k.
4
Solve -15 + 135 = -120*d - 1200 for d.
-11
Solve 75*k - 5152 = -247*k for k.
16
Solve 2096 = -9778*d + 9254*d for d.
-4
Solve 5*d + 12*d - 110 = 28*d for d.
-10
Solve 5690*g - 5844*g = -3388 for g.
22
Solve -26*s = -53435 + 53487 for s.
-2
Solve 17 + 16 = 11*n for n.
3
Solve 818196*p = 818185*p - 143 for p.
-13
Solve -44*o = -93*o + 32*o - 85 for o.
-5
Solve -5692*v + 208 = -5676*v for v.
13
Solve 20*h + 20346 = 10477 + 10229 for h.
18
Solve 0 = -109*r - 7*r - 1392 for r.
-12
Solve -89 = 15*n + 93 - 17 for n.
-11
Solve 612*u - 3576 = 910*u for u.
-12
Solve 2751 = 5350*b - 5219*b for b.
21
Solve 2398*y = 2400*y + 18 for y.
-9
Solve -395 - 160 = -37*m for m.
15
Solve 0*h - 723 = -37*h - 131 for h.
16
Solve -181*a + 11*a = 45*a + 860 for a.
-4
Solve 3010 = -634*k + 849*k for k.
14
Solve 221 = -124*n + 2205 for n.
16
Solve -91*s + 36 = 203 + 1016 for s.
-13
Solve 98 = 116*j - 38*j + 1112 for j.
-13
Solve -17*h + 7*h + 125 = 15*h for h.
5
Solve -335*w - 90*w - 34*w + 8262 = 0 for w.
18
Solve 309*u - 1183 = 694*u - 294*u for u.
-13
Solve -64*a - 473 - 423 = 0 for a.
-14
Solve 32*k - 39*k + 640 = 25*k for k.
20
Solve 46 = 26*d - 43 - 15 for d.
4
Solve -263888*g + 560 = -263944*g for g.
-10
Solve -41*o - 45 = -332 for o.
7
Solve 48*k = 26*k + 4*k - 8*k for k.
0
Solve 38*l + 739 - 201 = -298 for l.
-22
Solve -25035*u = -24999*u - 936 for u.
26
Solve -452*m - 1891 = 2629 for m.
-10
Solve -3*t - 22*t - 27 + 77 = 0 for t.
2
Solve -20*b = -2067 + 2147 for b.
-4
Solve -368*i = -370*i - 18 for i.
-9
Solve 19*g = 197*g - 1246 for g.
7
Solve -216*v - 63*v = -21*v - 5676 for v.
22
Solve 40*f + 0*f + 125 = 365 for f.
6
Solve -196*k + 995*k = -9526 - 2459 for k.
-15
Solve -519 = 204*j - 950 - 1405 for j.
9
Solve 263*s - 114*s - 2086 = 0 for s.
14
Solve 232 = -138*n - 142*n + 288*n for n.
29
Solve 13*s + 32*s - 53 = -8*s for s.
1
Solve 398*r - 1008 = 362*r for r.
28
Solve -771*a + 4605 - 20796 = 0 for a.
-21
Solve 30*o + 64 + 76 = -5*o for o.
-4
Solve 70*v = 377*v - 2456 for v.
8
Solve -75*n - 2 = 2023 for n.
-27
Solve 22021*h = 22044*h - 529 for h.
23
Solve 3*d + 159 = 84 + 93 for d.
6
Solve 0 = 31777*s - 31808*s - 930 for s.
-30
Solve -236*m - 3*m + 4563 = 268*m for m.
9
Solve -1570*m = -775*m - 752*m + 817 for m.
-19
Solve -43 - 293 = -68*w + 72 for w.
6
Solve 2962*r = 2829*r + 2394 for r.
18
Solve 142*h + 1620 = -1173 + 805 for h.
-14
Solve -218 = 148*r - 71*r + 141*r for r.
-1
Solve -509*l - 351*l + 9702 = -8358 for l.
21
Solve 121*m + 606 = 1574 for m.
8
Solve -54 - 18 + 36 = 12*z for z.
-3
Solve -178*g - 327 = 1351 + 1170 for g.
-16
Solve 926*l + 847 + 4709 = 0 for l.
-6
Solve -47*i - 36*i + 60 = -63*i for i.
3
Solve 293*f + 2770 = 462*f + 385*f for f.
5
Solve 6990 - 7110 = 12*k for k.
-10
Solve 514*i = 96*i - 7106 for i.
-17
Solve -17467 = -8*v - 17571 for v.
-13
Solve 153 = -10*z + 32*z + 65 for z.
4
Solve -1162 - 310 = 44*o + 20*o for o.
-23
Solve -43*v + 338 = 137 - 143 for v.
8
Solve -383*d + 339*d - 14 - 514 = 0 for d.
-12
Solve -1070 = -45*k - 1115 for k.
-1
Solve -840 - 480 = -16*b + 71*b for b.
-24
Solve 0 = -12*c + 51 - 104 - 43 for c.
-8
Solve 562 - 235 = -116*v - 601 for v.
-8
Solve -370901*o = -370900*o - 36 for o.
36
Solve -598*x + 17120 = -47*x + 1692 for x.
28
Solve -92*a = -42 - 1522 for a.
17
Solve 51*o = 71*o - 47*o + 216 for o.
8
Solve 840 + 937 = -97*f + 613 for f.
-12
Solve 2274 = 80*m - 206 for m.
31
Solve -277*z - 292*z + 589*z + 160 = 0 for z.
-8
Solve 0 = 316*h + 58*h - 4488 for h.
12
Solve 467*y - 2710 = 8031 for y.
23
Solve 43*a + 34*a + 3015 = -124*a for a.
-15
Solve 24*s + 43 = -125 for s.
-7
Solve 0 = -12*j + 2*j - 3*j + 169 for j.
13
Solve 3*f + 805 - 1021 = -6*f for f.
24
Solve -36 + 7689 = 982*b - 1185 for b.
9
Solve -1563*s - 1575*s - 900 = -3088*s for s.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
d derivative of -53*s**7/10 + 373*s**3 - 3*s**2 + 625. Differentiate b(j) wrt j.
-4452*j**3
Let o(u) be the second derivative of 281*u**4/6 + 2031*u**2 + 380*u + 5. What is the derivative of o(c) wrt c?
1124*c
Suppose -1 = -3*j + 2, -4*j = 5*o - 149. Let v = o + -10. What is the derivative of -17 - 30*d + 15*d**3 + v*d + 11*d wrt d?
45*d**2
Let l be ((-20)/8)/((-3)/(-6)). Let u be 4 + (15/l - -24). What is the second derivative of u*d**2 - 29*d**2 + d - 7*d wrt d?
-8
Let i(n) be the second derivative of 13*n**6/30 - 38*n**5/5 + 377*n**4/12 + 221*n + 2. What is the third derivative of i(o) wrt o?
312*o - 912
Let m(a) be the third derivative of -85/336*a**8 - 1/2*a**4 + 0*a + 1/3*a**3 + 0*a**6 + 62*a**2 + 0*a**7 + 0 + 0*a**5. Find the second derivative of m(v) wrt v.
-1700*v**3
Let v(z) be the first derivative of 1007*z**3/3 - 385*z**2 - 206. Find the second derivative of v(p) wrt p.
2014
Let m(h) be the second derivative of -258*h**5/5 + h**3/6 - 659*h**2/2 + 843*h. What is the second derivative of m(j) wrt j?
-6192*j
Let a be (154/28)/((-1)/(-2)). What is the third derivative of -a - 74*s**2 - 3*s**3 - 21*s**4 - 2*s**5 + 3*s**3 + 69*s**2 wrt s?
-120*s**2 - 504*s
Let s(m) = 109*m - 13187. Let c be s(121). Let n(j) be the first derivative of 0*j**c - j**3 - 47 + 7*j + 3/4*j**4. Find the third derivative of n(v) wrt v.
18
Find the second derivative of -3541*u**4 - 1423*u**4 + 6413*u - 9602*u wrt u.
-59568*u**2
Let i(u) = 162 - u**2 + 151 - 310 - u. Suppose -4*k + 0*k = 4. Let b(m) = m**2 - 1. Let h(g) = k*i(g) - 3*b(g). Find the second derivative of h(f) wrt f.
-4
Let z(o) = 2*o**2 - 18*o - 51. Let k be z(-3). What is the first derivative of -k*x**3 + 90 + 41*x**3 - 18*x**3 wrt x?
6*x**2
Let q(p) be the third derivative of -269*p**8/336 - 3*p**5/20 + 2131*p**4/12 + 3*p**2 - 595*p + 2. What is the second derivative of q(m) wrt m?
-5380*m**3 - 18
Let i be 13/(5/(3 - -2)). What is the first derivative of -6*r + 9 + 5 + 36 - i*r wrt r?
-19
Let d(w) = 638*w**2 - 15*w - 780. Let i(q) = 639*q**2 - 18*q - 779. Let c(x) = -6*d(x) + 5*i(x). What is the derivative of c(h) wrt h?
-1266*h
Let c(f) be the second derivative of -3937*f**3/6 - 6595*f**2 + 10661*f. Differentiate c(z) wrt z.
-3937
Let p(c) = 3127*c**6 + 6*c**4 + 2640*c**2. Let h(w) = 9379*w**6 + 21*w**4 + 7921*w**2. Let d(a) = 2*h(a) - 7*p(a). Find the third derivative of d(b) wrt b.
-375720*b**3
Let t(y) be the second derivative of 0*y**3 + 0 + 7/6*y**4 - 41/2*y**2 + 73*y. What is the derivative of t(a) wrt a?
28*a
Let b(v) = 2*v**2 - 5*v - 36. Let j(n) = 3*n**2 - 10*n - 72. Let g be -4 + ((-4)/(-2) - 5). Let d(l) = g*b(l) + 4*j(l). Differentiate d(r) with respect to r.
-4*r - 5
What is the second derivative of 3119*u**5 + 114*u + 1239*u**5 + 176 - 178 + 95*u wrt u?
87160*u**3
Find the first derivative of 630*w + 575*w - 1207*w - 1915*w**2 - 1051 wrt w.
-3830*w - 2
What is the derivative of 3489 + 26*k**3 + 591 - 2*k**3 + 12*k**3 - 21*k**3 - 5*k**4 wrt k?
-20*k**3 + 45*k**2
Let u(w) = 86*w**4 + 23*w**2 + 5*w - 6. Let t(m) = -m**2 - m - 1. Let z(c) = 6*t(c) - u(c). What is the third derivative of z(k) wrt k?
-2064*k
Let a be 3 + -2 - (1 - 63). Differentiate 6 - 18 - 20 + 59*i - a*i wrt i.
-4
Let s(l) be the second derivative of -4*l**7/21 - 7*l**6/6 - l**4/6 - 10*l**3 - 742*l. Find the third derivative of s(y) wrt y.
-480*y**2 - 840*y
Let k = -31 + 36. Find the second derivative of -107 + 43*s + 107 + s**5 - 16*s**k wrt s.
-300*s**3
Let o(s) be the first derivative of -1630*s**3/3 + 1123*s**2 + 515. Find the second derivative of o(k) wrt k.
-3260
Suppose 0 = 3*t + 5*j - 8, 0 = -2*t + 3*t - j - 8. What is the first derivative of t*d**3 + 4*d**2 - 28 + 7*d - 4*d**2 - 14 wrt d?
18*d**2 + 7
Let i(l) be the third derivative of 919*l**6/120 + 3*l**5/4 - 3*l**2 + 66. What is the third derivative of i(r) wrt r?
5514
Find the second derivative of -9938*s + 1043424*s**3 - 1043424*s**3 - 9107*s**5 wrt s.
-182140*s**3
Let a(b) = -12*b**4 - b**3 - b**2. Let t(n) = -1972*n**4 + 4*n**3 + 4*n**2 + 547. Let o(d) = 4*a(d) + t(d). What is the first derivative of o(q) wrt q?
-8080*q**3
Find the second derivative of 1018*j - 162*j + 242*j - 2096*j**3 wrt j.
-12576*j
Let z(s) = -3821*s**3 - 3110*s**2 - 12*s - 4. Let j(a) = -3821*a**3 - 3120*a**2 - 15*a - 5. Let m(i) = 4*j(i) - 5*z(i). Find the third derivative of m(h) wrt h.
22926
Let s(k) = -23*k**3 + 5*k**2 -
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{
"pile_set_name": "DM Mathematics"
}
|
q: 2, n: 8}. What is prob of picking 1 q, 1 l, and 1 n?
8/55
Calculate prob of picking 1 k, 1 s, 1 l, and 1 p when four letters picked without replacement from bpslk.
1/5
Two letters picked without replacement from szhzzszzszzsszszssz. Give prob of picking 2 s.
28/171
Calculate prob of picking 1 h and 1 c when two letters picked without replacement from ahxacxxaccaea.
1/26
Four letters picked without replacement from slmlllmllmmmlmlggag. Give prob of picking 3 g and 1 s.
1/3876
Calculate prob of picking 1 h and 2 m when three letters picked without replacement from mmhfhhfhhphhhllfp.
1/85
What is prob of picking 1 c and 1 s when two letters picked without replacement from csssscsccscccssssscc?
99/190
Two letters picked without replacement from {p: 2, n: 7, j: 3}. What is prob of picking 2 p?
1/66
Calculate prob of picking 2 z and 2 o when four letters picked without replacement from ozozzzzozozo.
14/33
What is prob of picking 2 w when two letters picked without replacement from zwzzzzwwzzz?
3/55
Four letters picked without replacement from {r: 4, x: 3}. What is prob of picking 2 r and 2 x?
18/35
Four letters picked without replacement from ddyqqrsdd. Give prob of picking 1 s and 3 d.
2/63
What is prob of picking 2 i, 1 c, and 1 k when four letters picked without replacement from {k: 5, c: 6, i: 4}?
12/91
Two letters picked without replacement from {n: 2, j: 5}. Give prob of picking 2 n.
1/21
Three letters picked without replacement from yyyynyyynnynyn. What is prob of picking 3 y?
3/13
Two letters picked without replacement from {w: 2, m: 3, h: 3, s: 2, a: 1, c: 1}. Give prob of picking 1 a and 1 h.
1/22
Three letters picked without replacement from {c: 1, d: 3, k: 2, e: 4}. Give prob of picking 1 d, 1 e, and 1 c.
1/10
Two letters picked without replacement from {v: 1, i: 1, w: 12, p: 2, z: 2, n: 2}. What is prob of picking 1 n and 1 p?
2/95
Four letters picked without replacement from {m: 6}. Give prob of picking 4 m.
1
Calculate prob of picking 2 j when two letters picked without replacement from {q: 2, s: 1, j: 3, k: 3, w: 1, x: 1}.
3/55
Four letters picked without replacement from weewwfghwdfhghd. Give prob of picking 2 h and 2 f.
1/455
Calculate prob of picking 1 q and 1 e when two letters picked without replacement from emqxq.
1/5
Calculate prob of picking 1 d, 1 w, and 1 r when three letters picked without replacement from {t: 1, n: 1, w: 1, d: 1, r: 1}.
1/10
Three letters picked without replacement from {c: 5}. Give prob of picking 3 c.
1
Calculate prob of picking 2 o when two letters picked without replacement from pepppoflpeopppppfppo.
3/190
Four letters picked without replacement from {s: 16, l: 4}. Give prob of picking 2 l and 2 s.
48/323
Four letters picked without replacement from wbneyebebnby. Give prob of picking 1 e, 1 w, and 2 n.
1/165
What is prob of picking 3 w and 1 l when four letters picked without replacement from wfwwlfwlflwl?
8/99
Calculate prob of picking 2 b when two letters picked without replacement from ggggggbggygbsygbbss.
2/57
What is prob of picking 3 j and 1 r when four letters picked without replacement from {d: 2, g: 1, i: 3, j: 3, r: 1}?
1/210
What is prob of picking 1 l and 1 y when two letters picked without replacement from {l: 8, j: 1, r: 1, z: 4, q: 2, y: 4}?
16/95
What is prob of picking 3 v when three letters picked without replacement from vvvvkvvvvvvvkkkvvvvv?
28/57
What is prob of picking 1 w and 1 m when two letters picked without replacement from mwm?
2/3
What is prob of picking 2 z and 2 t when four letters picked without replacement from {z: 7, t: 2}?
1/6
Three letters picked without replacement from sgzzlsgszzzzzs. What is prob of picking 1 g and 2 z?
3/26
What is prob of picking 1 b and 1 s when two letters picked without replacement from sfafgggtgfbstbfbgg?
2/51
What is prob of picking 1 c, 1 e, and 1 f when three letters picked without replacement from ekecekeekkfkcbe?
12/455
Calculate prob of picking 1 e and 1 a when two letters picked without replacement from aedsfdddddu.
1/55
Three letters picked without replacement from {w: 1, i: 1, d: 3, z: 1, c: 5}. Give prob of picking 1 z, 1 c, and 1 d.
1/11
Two letters picked without replacement from {s: 2, i: 1, v: 6, f: 3}. What is prob of picking 2 f?
1/22
What is prob of picking 1 l, 1 q, and 2 d when four letters picked without replacement from lfdddldlqlldll?
10/143
What is prob of picking 4 k when four letters picked without replacement from rkkkkkkkkrkrkrkkrr?
11/68
What is prob of picking 1 h and 3 w when four letters picked without replacement from {h: 7, w: 3}?
1/30
Calculate prob of picking 2 r when two letters picked without replacement from {r: 12, q: 7}.
22/57
Two letters picked without replacement from {x: 3, o: 5, d: 2, q: 1, u: 1, n: 1}. What is prob of picking 1 d and 1 x?
1/13
Three letters picked without replacement from emcmicimcliimiml. Give prob of picking 1 m and 2 i.
5/56
Three letters picked without replacement from revrlbb. Give prob of picking 1 v, 1 l, and 1 b.
2/35
Two letters picked without replacement from rrrrrrrcrrrrrrcrrrr. What is prob of picking 2 r?
136/171
Calculate prob of picking 1 o and 3 w when four letters picked without replacement from wswoqohoqowo.
1/99
Four letters picked without replacement from {u: 2, z: 3, y: 4}. Give prob of picking 2 y and 2 z.
1/7
Four letters picked without replacement from {i: 2, r: 6}. Give prob of picking 4 r.
3/14
Calculate prob of picking 2 c, 1 o, and 1 g when four letters picked without replacement from ocjogdcx.
1/35
Calculate prob of picking 2 y when two letters picked without replacement from rooryyrryrry.
1/11
Four letters picked without replacement from {c: 5, q: 5, x: 2, k: 7}. What is prob of picking 1 q, 2 x, and 1 k?
35/3876
Four letters picked without replacement from hadavddd. Give prob of picking 4 d.
1/70
Calculate prob of picking 2 e and 1 u when three letters picked without replacement from {e: 3, u: 1, l: 1}.
3/10
Four letters picked without replacement from {m: 9, j: 9}. Give prob of picking 3 j and 1 m.
21/85
Two letters picked without replacement from vqvvfssvfq. Give prob of picking 1 v and 1 s.
8/45
What is prob of picking 2 j when two letters picked without replacement from {j: 3, f: 2, g: 1, z: 1, h: 5}?
1/22
Two letters picked without replacement from sttsttstsso. Give prob of picking 1 s and 1 o.
1/11
What is prob of picking 1 a and 1 r when two letters picked without replacement from mrraba?
4/15
Four letters picked without replacement from {m: 5, i: 1, v: 1, y: 8, t: 5}. Give prob of picking 1 i, 2 t, and 1 m.
10/969
Four letters picked without replacement from {r: 1, l: 3, i: 1, b: 1, u: 1}. Give
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{
"pile_set_name": "DM Mathematics"
}
|
derivative of 2*d**3*m + d**3 - 243*d**2*m + 15*d**2 + 25*d*m + 928*m + 1 wrt d?
12*d*m + 6*d - 486*m + 30
What is the derivative of 4*a**4 - 457*a**3 + 4*a**2 + 39467?
16*a**3 - 1371*a**2 + 8*a
Differentiate -19400*i*n**2*p**3 + 2*i + 122990*n**2*p**3 with respect to i.
-19400*n**2*p**3 + 2
What is the first derivative of 184864*m - 173636?
184864
Differentiate -1737*f*g**2 + f*g*x + 72*f*x + 5*g**2 - 184*x wrt g.
-3474*f*g + f*x + 10*g
What is the third derivative of -51933*o**3*t**3 + 10067*o**2*t**3 + o**2*t**2 - 2*o**2 wrt o?
-311598*t**3
What is the second derivative of -31900*m**2 + m + 234234 wrt m?
-63800
Find the third derivative of 68*j**5 - 991*j**3 + 2*j**2 - 199730*j wrt j.
4080*j**2 - 5946
What is the derivative of 2363946*b**2 + 2433184 wrt b?
4727892*b
What is the derivative of 3371*z**2 - 80*z + 1507819 wrt z?
6742*z - 80
Differentiate 70*f**3*w + 3744*f**3 + 193015*w wrt f.
210*f**2*w + 11232*f**2
Differentiate -31665*h + 36103 with respect to h.
-31665
Differentiate 5798769*a*j**3 + 4420*j**3 + 3 with respect to a.
5798769*j**3
What is the first derivative of -73233*g**3 - 54121 wrt g?
-219699*g**2
Differentiate -3*n**2*w**3 + 20*n**2*w**2 - 501*n**2 - 5293716*w**3 with respect to n.
-6*n*w**3 + 40*n*w**2 - 1002*n
Differentiate n**3 - 11725*n**2 - n + 591756 with respect to n.
3*n**2 - 23450*n - 1
What is the first derivative of -49222*v - 79350?
-49222
Differentiate 158*m*o**3 - 171*m*o**2 + 47583*o**3 with respect to m.
158*o**3 - 171*o**2
Find the third derivative of 84*m**2*q**3 - 9*m**2*q**2 - 35094*m**2 - 3933*q**3 wrt q.
504*m**2 - 23598
What is the second derivative of -254*i**4 + 5*i**3 + 3*i**2 + 45685*i?
-3048*i**2 + 30*i + 6
What is the third derivative of 2*p**6 - 497070*p**3 - p**2 + 531514*p wrt p?
240*p**3 - 2982420
What is the first derivative of -154*f**4 + 8*f**2 - f + 23421 wrt f?
-616*f**3 + 16*f - 1
Find the third derivative of -5666*i**4*n - 43*i**3*n**2 - 16*i**2 + 10460*i*n**2 wrt i.
-135984*i*n - 258*n**2
What is the first derivative of 16011*d*v + 21*d + 2877*v - 11 wrt d?
16011*v + 21
Differentiate 34879*w + 88313 wrt w.
34879
What is the second derivative of 9481*m**3*s**2 - 2*m**2*s**2 - 15*m**2*s - 52660*m*s**2 + m*s - 2*s wrt m?
56886*m*s**2 - 4*s**2 - 30*s
What is the second derivative of -q**5 - q**4 + 19583*q**2 + 353*q - 93?
-20*q**3 - 12*q**2 + 39166
What is the second derivative of 153528*j**5 - 49*j + 909?
3070560*j**3
Find the first derivative of 1306*c**2 + 6*c + 34049.
2612*c + 6
Differentiate 435*b**2*i*z**2 - 16*b**2*i*z + 27292*b**2*z - 14*b*z**2 wrt i.
435*b**2*z**2 - 16*b**2*z
Differentiate -7*z**3 + 8985*z - 108735 with respect to z.
-21*z**2 + 8985
What is the first derivative of 995919*b**4*q**3 - 69986*q**3 wrt b?
3983676*b**3*q**3
What is the third derivative of -13320*r**3*y**4 - 1148*r**3 - 2*r**2*y**5 + 40*r*y**2 wrt y?
-319680*r**3*y - 120*r**2*y**2
What is the third derivative of 108*a**6 - 1330*a**5 + 514882*a**2 wrt a?
12960*a**3 - 79800*a**2
Find the first derivative of 9*x**3 + 18*x**2 + 314*x + 1965221 wrt x.
27*x**2 + 36*x + 314
Find the third derivative of 2*m**6 + 7090*m**5 - 3*m**3 - 15827*m**2 - m - 26.
240*m**3 + 425400*m**2 - 18
What is the first derivative of 31*k**4 - 4*k**3 + 2*k**2 - 24*k + 2788785?
124*k**3 - 12*k**2 + 4*k - 24
What is the third derivative of 6*h**4 - 176976*h**3 + 3*h**2 - 111025 wrt h?
144*h - 1061856
What is the second derivative of 2*c**2*d**3 + 5*c**2*d*n - 665*c**2 - 448*c*d**2*n + 8*d**3*n + 4*n wrt d?
12*c**2*d - 896*c*n + 48*d*n
What is the second derivative of -118357*n**2 - 182511*n?
-236714
Find the third derivative of 14336*v**6 + v**5 - v**3 - 2175*v**2 + 5*v.
1720320*v**3 + 60*v**2 - 6
Find the second derivative of 86*h*l**5 + 429*h*l**3 - 2*h*l**2 + 9162*h*l + 5*h + 2 wrt l.
1720*h*l**3 + 2574*h*l - 4*h
What is the first derivative of -o**4*q + 8780*o*q**3 - 15*q**3 + 8*q - 37 wrt o?
-4*o**3*q + 8780*q**3
Differentiate -1566473*c**3*s*t + 2077687*c**3*s + c**2*t with respect to t.
-1566473*c**3*s + c**2
What is the first derivative of -13*b**4 + 1914*b**2 - 82527?
-52*b**3 + 3828*b
Find the second derivative of 81129*b**4 - 8*b**3 + b**2 - 87414*b + 3 wrt b.
973548*b**2 - 48*b + 2
What is the second derivative of -3*q**2*x**3 - q**2*x - q**2 - 5468*q*x**3 + x + 1111 wrt x?
-18*q**2*x - 32808*q*x
What is the first derivative of -
|
{
"pile_set_name": "DM Mathematics"
}
|
ming b is positive.
b**(-12/5)
Simplify (q*q/(q**(-2/13)*q*q))/q**26 assuming q is positive.
q**(-336/13)
Simplify ((y**0/y)/y**(-6))/(y*y**(1/4)/y*y**(-1/3)) assuming y is positive.
y**(61/12)
Simplify ((t*t*t**(2/3))**(-9/5))**(11/3) assuming t is positive.
t**(-88/5)
Simplify ((v/(((v*(v/v**(-7))/v)/v*v)/v))/(v/(v/(v*v**(-4/3)))*v))**(13/4) assuming v is positive.
v**(-65/3)
Simplify ((l/(l/(l/(l**(-1/2)/l*l*l)*l))*l)/l*l*l**(-6))/(l*(l*(l**5/l)/l*l*l*l*l)/l*l**(-4)/l) assuming l is positive.
l**(-13/2)
Simplify (d/(d*d**(2/7)))**(-18)/(d**(-3/2)*d/d**6) assuming d is positive.
d**(163/14)
Simplify ((r**(2/7)/r)/(r/(((r*r**(2/7)*r)/r)/r)))**(-24) assuming r is positive.
r**(240/7)
Simplify (j**(-1/11))**(5/9) assuming j is positive.
j**(-5/99)
Simplify (o*o**(2/7))**11/(o**(-4)*o*o*o**(-6)) assuming o is positive.
o**(155/7)
Simplify (z/z**1)**6*(z/(z*z*z**8/z)*z)/(z/(z*z*z/z**(-7)*z*z)) assuming z is positive.
z**4
Simplify t**7*t*t**(-7) assuming t is positive.
t
Simplify (o/(o**(-8)/o*o*o))/(o**5*o*o) assuming o is positive.
o
Simplify ((w**7/w*w)/w)/((w*w*w*w/w**(-3/2)*w)/w) assuming w is positive.
sqrt(w)
Simplify ((u*u**(3/8)/u)/(u/(u/u**(1/3))))**(23/4) assuming u is positive.
u**(23/96)
Simplify (t/t**(-2/3)*(t/(t*t**(-3)))/t)**16 assuming t is positive.
t**(176/3)
Simplify (u**(-2/3))**34/(u**(1/3)/u**6) assuming u is positive.
u**(-17)
Simplify f**5/f*f/(f/f**(-4/3))*((f/f**2)/f)**(-31) assuming f is positive.
f**(194/3)
Simplify (i**(1/8)/i)/(i**(5/7)*i) assuming i is positive.
i**(-145/56)
Simplify ((t/((t**(2/5)*t)/t))/(t*t**(-2/13)))**(-13) assuming t is positive.
t**(16/5)
Simplify v**8*v**(-4)/v*(((v**(-7)*v*v*v)/v)/v*v)/v**(3/8) assuming v is positive.
v**(-19/8)
Simplify (l/l**(-7)*l)/(l/l**(-5))*(l*l*l**(-2/11)*l*l)/l*l*l/((l*l**(-3)*l*l*l)/l) assuming l is positive.
l**(86/11)
Simplify (n**(-5)*n*n*n)**(-3/37) assuming n is positive.
n**(6/37)
Simplify (v/(v**(-2/13)/v*v)*v)**(-1/24) assuming v is positive.
v**(-7/78)
Simplify ((a**(-5/3)*a)/(a*a**14*a*a))**(-4/11) assuming a is positive.
a**(212/33)
Simplify (v/v**(5/3))/(v/((v/(v/(v**(2/5)/v)*v))/v*v)) assuming v is positive.
v**(-49/15)
Simplify ((q**(-1/5))**(-7))**(-10) assuming q is positive.
q**(-14)
Simplify (r**(-3)*r*r*(r/(r*r/(r**(1/3)/r)))/r*r)/(r**(-2/7))**(-47) assuming r is positive.
r**(-338/21)
Simplify ((h*h**2)**26)**(-26) assuming h is positive.
h**(-2028)
Simplify o**(1/2)*o*o*o*o**(-2/21)/o*o**8*(o/(((o*o**(-1/5)/o*o*o)/o*o)/o*o))/o assuming o is positive.
o**(1807/210)
Simplify (j**(-1))**(37/5)/(j**(-2/3))**(-2/21) assuming j is positive.
j**(-2351/315)
Simplify (g**2*(g/(((g*g*g**(2/9)*g)/g)/g))/g)/((g*g**2)/g*g*g*g)**(15/2) assuming g is positive.
g**(-661/18)
Simplify (x**(-3/5)*x/(x/((x*x/x**(-6))/x))*x)/(x*x**1*x)**(1/9) assuming x is positive.
x**(106/15)
Simplify (j/(j**(-3/8)/j))**(-49) assuming j is positive.
j**(-931/8)
Simplify (n/n**(-1))**(-7)*(n/n**(2/29))/n*n**(2/9)*n assuming n is positive.
n**(-3353/261)
Simplify j**(1/2)/(((j/(j/j**(-14))*j)/j*j*j)/j) assuming j is positive.
j**(27/2)
Simplify i**16/((i*i*i*i**(-21/4))/i*i) assuming i is positive.
i**(73/4)
Simplify ((f*f**8/f)/f*f)**17 assuming f is positive.
f**136
Simplify f**(-10/3)/(f*f/f**(-40)*f) assuming f is positive.
f**(-139/3)
Simplify (t*t**(-1/6)*t/(t/t**(5/3)*t)*t*t)/((t*t/(t*t/((t/(t*t**7)*t*t)/t))*t)/(t/(t**(-1/2)*t)*t)) assuming t is positive.
t**10
Simplify v**(-1)*(v/v**(3/5))/v*v**(-1/2)/(v*v/(v/(v**(1/8)*v))) assuming v is positive.
v**(-169/40)
Simplify ((g*g*g**(-1/4)/g)**(-2/17))**(3/11) assuming g is positive.
g**(-9/374)
Simplify c/((c*c**(-6/11))/c*c)*c**(-17) assuming c is positive.
c**(-181/11)
Simplify ((t/(t*t**(-6))*t)/t)**(5/8) assuming t is positive.
t**(15/4)
Simplify (h**(-2))**(-1) assuming h is positive.
h**2
Simplify ((d**5)**(2/21))**(-41/4) assuming d is positive.
d**(-205/42)
Simplify h**(-6)/((h/(h*h**(-2/7)/h)*h)/h)*h*h*(h**(-5/3)*h)/h*h*h*h**(-4/7)*h assuming h is positive.
h**(-95/21)
Simplify (a*a**4*a)/a**(-2/9)*a**(-4)/(a/a**6) assuming a is positive.
a**(65/9)
Simplify (u/(u*u*u/u**(-2/5))*u**(1/5))/((u/(u*u**(-2/15)*u))/u**(5/4)) assuming u is positive.
u**(-1/12)
Simplify (j**(-4/5)/(j*j**(-5)))**(-3/5) assuming j is positive.
j**(-48/25)
Simplify t**(-9)/(t/(t/(t**(5/11)*t)*t)) assuming t is positive.
t**(-104/11)
Simplify ((h*(((h*h**(2/3))/h)/h)/h*h)**(-2/127))**(31/2) assuming h is positive.
h**(-62/381)
Simplify (k/k**29)/(k**(1/8)/k) assuming k is positive.
k**(-217/8)
|
{
"pile_set_name": "DM Mathematics"
}
|
= -v**2 + 7*v + 11. Let s be d(7). Let a(t) = 2*t**2 - 17*t + 3. Let l be a(s). Let m = l - 54. Solve -m*h = h for h.
0
Suppose 8*a - 3 = 5*a, -4*a + 104 = -5*p. Let l be (-6)/(126/35)*36/p. Solve -l*c - 6*c = 45 for c.
-5
Let h(j) = 94*j + 7619. Let q be h(-81). Solve q*l = -640 + 630 for l.
-2
Let n be 0/(2 + (-60)/35 - (-35)/49). Solve 4201*w - 4195*w = n for w.
0
Let f(a) = -5*a**2 - 36*a - 47. Let z be f(-2). Let y = 9 + -6. Solve -y*p = -8*p - z for p.
-1
Suppose 0 = 47*g - 775 + 70. Solve -g*u + 13 = -77 for u.
6
Suppose -4*o = -5*o + m + 22, 91 = 4*o - 5*m. Solve o*t - 65*t = 368 for t.
-8
Suppose -p + 5*u = 9*u - 89, 297 = 3*p - 3*u. Let j = -80 + p. Solve j = 3*t + 20 for t.
-1
Suppose -f - o + 384 = f, 0 = -2*f + o + 384. Suppose -192 = -4*k + j, -9*k - 5*j = -13*k + f. Solve k*m = 46*m + 8 for m.
4
Let d = 1072 + -1062. Solve -d*t + 112 = 172 for t.
-6
Let x be 3*(-4)/24*(19 - 19). Solve x = 8*m + 686 - 662 for m.
-3
Suppose 75*p - 246*p = 278*p - 5837. Solve d - 12 = -p for d.
-1
Let o(u) = 5*u - 90. Let h(t) = t. Let s(q) = -4*h(q) - o(q). Let k be s(8). Solve 3 + k = 7*i for i.
3
Let y be -13 - -18 - 2 - 3. Solve 2 + y = x for x.
2
Let o = 296 - -19. Let g = o - 305. Solve 25 = -g*c + 5*c for c.
-5
Let m = -32 - -4. Let z(x) = x**3 + 29*x**2 + 30*x + 59. Let w be z(m). Solve -2 = w*y + 13 for y.
-5
Let f = 2117 + -2084. Solve -4*m = -f + 17 for m.
4
Let i(o) = -27*o**2 + 1139*o - 187. Let k be i(42). Solve 864 = 119*s - k*s for s.
9
Suppose 2*u = -3*m + 943, 5*u = m + 156 - 476. Solve -8*z - 37*z = -m for z.
7
Let b(v) = 6*v**3 - 4*v**2 - 3*v - 1. Let w be b(-3). Let i = -187 - w. Solve 0 = -i*o + 7*o - 16 for o.
4
Let n be (12 + (2 - 2))*3/6. Let h be (4/n)/((-22)/198). Let l be h/10*(-35)/7. Solve l*r + 0*r + 15 = 0 for r.
-5
Suppose 0 = -a + 32 + 8. Let t = -230733 + 230738. Solve t*i - 15 = -a for i.
-5
Suppose -48*q = -3*j - 45*q + 45, -7 = -j - q. Suppose 5*p = 5*i, 15 = -2*p + 2*i + 3*i. Solve -3*v - j + p = 0 for v.
-2
Let b = 24 - -490. Let k = b + -513. Solve -2*g + k + 7 = 0 for g.
4
Let d be (358*(-1)/5)/((-448)/(-80) + -6). Solve 43*n + d = -79 for n.
-6
Suppose 2*g + 42 = 8*g. Suppose h = -2*f - 2 - g, 0 = 5*h + 3*f + 10. Let q be (-1 - (-24)/21) + h/(-7). Solve q*o = -3*o - 15 for o.
-5
Let v(w) = 20*w**2 + 26*w - 28. Let r be v(1). Solve -6 + r = -12*n for n.
-1
Let x(j) = -j**3 + 2*j**2 + 32*j - 55. Let k be x(-7). Solve -30 = -k*c + 172*c for c.
-3
Let a(h) be the second derivative of -7/6*h**3 - 1/20*h**5 + h**2 - 48*h + 0 + 3/4*h**4. Let m be a(8). Solve -m = 4*s + 6 for s.
-4
Suppose -466*d + 484*d + 1188 = 0. Let c = -66 - d. Solve c*m - 4 = 4*m for m.
-1
Let k(o) = -o**3 - 2*o**2 + 3*o - 4. Let n be k(-4). Suppose 0 = 33*s - 37*s + 3*v + 134, -36 = -s + 2*v. Suppose 4*h - s = -n. Solve -6 = -h*j - 22 for j.
-4
Let q(s) = s**3 + 7*s**2 - 15*s - 26. Let m be q(-8). Suppose -m*a + 147 = -9*a. Solve -2*x = -a*x + 20 for x.
4
Suppose -4*s - 4*c = -100, -2*s - 6 + 68 = -c. Suppose -s*l + 2196 = 601. Solve 8*z - l = 19*z for z.
-5
Suppose 5*a - 5 = -2*y + 18, 4*y + 9 = a. Suppose -16 = a*j + u - 57, 2*u = 2*j - 26. Solve 0 = -3*g - j for g.
-3
Let u = 3665 + -3631. Solve 11 = -u*r + 45*r for r.
1
Suppose -3*m - 4*q + 18 = 0, -14*m + 12 = -12*m + 3*q. Let o(f) = f - f + 17 - 3*f + 2*f. Let r be o(m). Solve -4*d - r = 5 for d.
-4
Suppose 0 = a + 5*b - 10 + 9, 5*a - 2*b - 5 = 0. Suppose a = -10*l + 101. Solve 0 = -n + 3*n + l for n.
-5
Let d(t) = -2*t**2 + 1. Let j(z) = 7*z**2 - 15*z - 10. Let c(o) = -4*d(o) - j(o). Let x be c(-15). Solve x = -4*y + 2 for y.
-1
Let t be (-477)/(-21) + 16/56. Let g be 4/36*-3*-87. Solve -2*k + t = g for k.
-3
Let s(k) = 3*k + 120. Let n be s(-40). Suppose f + 2 = 7, 4*f - 10 = 5*t. Suppose h - t*h + 4 = 0. Solve -h*u + 10 + 6 = n for u.
4
Let k(t) = t**3 + 47*t**2 - 143*t + 350. Let f be k(-50). Solve 30*x + 58 + 122 = f for x.
-6
Let q(i) = 7*i + 9. Let l be q(-16). Let k = -103 - l. Solve k = -2*y - 4 for y.
-2
Suppose 2*h = 3*g - 4883 + 955, -14382 = -11*
|
{
"pile_set_name": "DM Mathematics"
}
|
(d).
-6*d**2
Let i(b) = 152*b**2 + 31*b. Let s(o) = -6083*o**2 - 1239*o. Let t(u) = 238*i(u) + 6*s(u). Let j(w) = -17*w**2 - 3*w. Give 56*j(a) - 3*t(a).
14*a**2
Let m(o) = -7*o**3 - 8*o**2 - 34*o. Let q(y) = 5*y**3 + 5*y**2 + 22*y. What is -5*m(t) - 8*q(t)?
-5*t**3 - 6*t
Let q(b) = b**3 + 2. Let i(y) = 5*y**3 + y + 11. Let w = -1004 - -1003. Let x be (-2)/7 - (-96)/(-7). Let g be (-15 - x)*(-12 - w). What is g*q(h) - 2*i(h)?
h**3 - 2*h
Let q(c) = -c**3 + 8*c**2 - c - 2. Let r(i) = 3*i**2 - 1. Let j(b) = q(b) - 3*r(b). Let n(o) = 4*o**3 + 3*o**2 + 2*o - 3. Give -6*j(a) - 2*n(a).
-2*a**3 + 2*a
Let k(n) = -3*n + 4. Let c(s) = -6*s + 9. Let u(t) = 5*t**2 - t - 1. Let z be u(-1). Let g(j) = 6*j - 9. Let q(h) = z*c(h) + 6*g(h). What is -9*k(b) - 4*q(b)?
3*b
Suppose 6*y - 24 + 90 = 0. Let b be 1/y*2 - (-264)/121. Let l(r) = r**3 + r**2 + r + 1. Let v(t) = t**3 + 3*t**2 + 3*t + 3. What is b*v(i) - 6*l(i)?
-4*i**3
Let s(d) = -d + 5. Suppose 3*w = -10 - 2, -2*w - 28 = -5*h. Let k(q) = 3*q + 19. Let j(m) = m + 10. Let p(o) = h*k(o) - 9*j(o). What is -3*p(i) - 8*s(i)?
-i + 2
Let u(t) = t**3 - t. Let j(h) = -h**2 + 4*h + 37. Let a be j(8). Let r(g) = -a - 7 - 3*g + 3 + 8. Give r(x) - u(x).
-x**3 - 2*x - 1
Let x(n) = -n - 2. Let c(f) be the second derivative of -f**3/3 - 5*f**2/2 + 6*f - 3. Give 3*c(v) - 5*x(v).
-v - 5
Let k(x) = 9*x**2 + x + 2. Let q(i) = -17*i**2 - 2*i - 4. What is 11*k(v) + 6*q(v)?
-3*v**2 - v - 2
Let k(b) = -7*b**3 + 5*b**2 - 21. Let d(o) = o**3 + o**2. Calculate 6*d(m) + k(m).
-m**3 + 11*m**2 - 21
Let x(u) = -133*u**2 - 35. Let j(l) = -11*l**2 - 3. Suppose k - 6 = 4*k + 3*b, 0 = -3*k - b - 8. What is k*x(v) + 35*j(v)?
14*v**2
Let t(i) = i - 1. Let h(p) = -143*p - 5. Determine -h(n) + 6*t(n).
149*n - 1
Let l(o) be the first derivative of -o**5/60 - o**3/6 - o**2/2 - 2. Let i(k) be the second derivative of l(k). Let h(m) = 6*m**2 + 8. Determine h(a) + 8*i(a).
-2*a**2
Let j(t) = 10*t + 3. Suppose -h + 5*w = -11, 19*h - 2*w - 3 = 20*h. Let b(n) = n. Determine h*j(z) - 6*b(z).
4*z + 3
Let b(q) = 11*q**3 + 17*q**2 + 8*q. Let o(u) = 9*u**3 + 16*u**2 + 8*u. What is 4*b(z) - 5*o(z)?
-z**3 - 12*z**2 - 8*z
Let t(f) = -12*f**3 + 5*f**2. Let p(w) = -23*w**3 + 11*w**2 + w. Give 2*p(s) - 5*t(s).
14*s**3 - 3*s**2 + 2*s
Let f(q) = q + 1. Suppose 47 = 3*d - 55. Suppose y - 36 = -d. Let c(s) = 4. Determine y*f(h) - c(h).
2*h - 2
Let c(k) = 10*k**3 - 9*k**2 - 4*k + 4. Let a(x) = 90*x**3 - 80*x**2 - 35*x + 35. What is -4*a(t) + 35*c(t)?
-10*t**3 + 5*t**2
Let q(g) = -2. Let d(b) = -3*b**3 + 5*b**2 + 5*b + 5. Let z(c) = -d(c) - 5*q(c). Let n(v) = 32*v**3 - 56*v**2 - 56*v + 56. Give 5*n(h) - 56*z(h).
-8*h**3
Let y(l) = l. Let j(d) = -1196566 - 4*d + 1196566. Let m = -2 - -8. Give m*y(a) + j(a).
2*a
Let h = 371 - 367. Let f(m) be the third derivative of -m**4/24 + m**3/2 + 2*m**2. Let s(j) = j - 3. Determine h*f(a) + 5*s(a).
a - 3
Let y(h) = -10*h**3 + 6*h**2 - 11*h - 1. Let c(u) = -2*u**3 + u**2 - 2*u. Suppose -5*f = -0*f - 110. Suppose -3*w - f = -w. Determine w*c(a) + 2*y(a).
2*a**3 + a**2 - 2
Let v(l) = -2*l**2 - 2*l. Let n(g) be the second derivative of 19*g + 0 - 1/2*g**2 - 11/6*g**3 - 5/6*g**4. Give -2*n(w) + 11*v(w).
-2*w**2 + 2
Let r(k) = -222*k + 80. Let z(b) = -37*b + 14. Determine -6*r(i) + 34*z(i).
74*i - 4
Suppose -3*a - 2*g = a - 40, -2*g = 2*a - 24. Let i(h) = a*h + 3*h - 8*h. Let s(q) = 2*q. Determine -i(n) + 3*s(n).
3*n
Let d(h) = -5*h**2 + 7*h - 7. Let b = -166 - -157. Let l(w) = -11*w**2 + 15*w - 15. Determine b*d(j) + 4*l(j).
j**2 - 3*j + 3
Suppose 0 = -5*g
|
{
"pile_set_name": "DM Mathematics"
}
|
ommon multiple of x and r.
18
Let o(g) = -g**2 + 6*g - 6. Let k be o(5). Let t = k - -3. Calculate the least common multiple of t/1*2/1 and 20.
20
Let y = -76085/22 - -3459. Let v be 7271/2790 + 4/(-18). Let s = -387/31 + v. What is the common denominator of y and s?
110
Let q = -59201/18 + 3286. Calculate the common denominator of q and (12/32)/(30*(-3)/(-1356)).
180
Suppose 4 = -3*a - 2, 3*t = a + 14. What is the lowest common multiple of 10 and t?
20
Suppose 0 = -x - 3*m + 2589, 4*x + 5829 = 2*m + 16255. Let r = 2217011/1518 + 79207/69. Let l = r - x. Calculate the common denominator of 97/8 and l.
88
Let s(m) = -m + 2. Let n be s(0). Let k be (n/5)/((-111)/495). Let g = -1405/518 - k. Calculate the common denominator of 39/20 and g.
140
Suppose -6*c = -c. Calculate the smallest common multiple of 22 and -12*(1/(-2) - c).
66
Suppose 8 = 5*n - n. Suppose 0 = t + 4*l - 8, 0*l + n*l = 2*t - 46. What is the least common multiple of 10 and t?
20
Let v = 50 - 26. What is the least common multiple of v and 9?
72
Calculate the lowest common multiple of 13 and 7 - (-2)/(-3 - -1)*1.
78
Calculate the lowest common multiple of 16 and 3 + 5*(-3 - -4).
16
What is the common denominator of 2/(-4) + (-146)/6 and 657/6*(-12)/(-36)?
6
Let h = 18043/4 + -4533. Let x = 79114 + -3323165/42. Let d = x + 85/7. Calculate the common denominator of d and h.
12
What is the smallest common multiple of 3*(-6)/45*-5 and 18?
18
Let a be 1 + 4/((-30336)/13150). Let c = 61747/1326963 - 2/16797. Let w = c + a. Calculate the common denominator of w and 15/22.
176
Let q = -112894/5 + 22410. Let w(h) = -5*h**3 + 5*h**2 + 4*h + 3. Let b be w(-3). Let l = b + q. Calculate the common denominator of l and -44/5.
5
Let y be ((-7)/(-4))/((-1)/(-68)). Let j = y + -53. Find the common denominator of -31/22 and (2/j)/((-4)/114).
22
Suppose -4*f + 5*l + 13 = 0, 7 = f + 3*l - 8*l. Suppose 4*r + 5*t - 20 = 0, 0*t - 8 = 3*r - f*t. Calculate the least common multiple of 14 and r - (-2*1 - 18).
140
Let t = 42526391319860 + -4313451871655951141/101430. Let s = -1/405720 + t. Let g = -815 - s. Calculate the common denominator of -41/10 and g.
40
Let r(f) = -2*f. Let t = -7 + 21. What is the least common multiple of r(-6) and t?
84
Let g be (-4)/(-6) - (-3076)/138. Let c = 4067/92 - g. What is the common denominator of 74/14 + 12 + -14 and c?
28
Find the common denominator of 510/231 - 8/14 and 52/3.
33
Suppose 0 = -j - 0 + 9. Calculate the least common multiple of j and 3.
9
Let b(n) = -4*n - 4. Let k be b(-5). Let o = 14 + -20. Let u = k + o. Calculate the least common multiple of 5 and u.
10
Let l = -4 - -4. Let f = l + -1. Let c = f - -9. What is the least common multiple of 9 and c?
72
Let x(z) = 2*z - 12. What is the smallest common multiple of x(15) and -1 - (-2 + 1 + -22)?
198
Let u(a) = a**3 - 2*a**2 - 5*a + 4. Let y be u(5). Let i = 127 + -2287/18. Find the common denominator of 453/y + -2 + 1 and i.
18
Let u = 8 - 11. What is the common denominator of -23/8 and -3 - u/((-27)/48)?
24
Let y(f) = -f**2 - 5*f + 3. Let l be y(-5). Let g be (1/l)/(7/21). Calculate the smallest common multiple of 22 and g/(-1)*-2*2.
44
Let j = -833/48 + 59/16. Let q be (-2)/(-3)*24/(-2). Calculate the common denominator of 2/q + (-70)/(-4) and j.
12
Calculate the common denominator of -17/11 and ((-18)/10)/(4/70).
22
Let y = -1/935 - -25261/14960. Find the common denominator of -27/16 and y.
16
Let u(n) = n**2 + 10*n + 27. What is the smallest common multiple of 28 and u(-8)?
308
Let v = -4314110674/345 - -25009375/2. Let l = v - -33/115. Calculate the common denominator of 79/24 + (-1)/(-3) and l.
24
Let n(m) = m**2 - 1. Let p be n(-2). Suppose r - 4 = 2*r + 2*f, 0 = p*r + 5*f + 7. What is the smallest common multiple of 8 and r?
24
Let z = -7 - -55. What is the lowest common multiple of z and 8?
48
Suppose m - 7 = 2. Calculate the smallest common multiple of 5 and m.
45
Let j(b) = 2*b**3 - 2*b**2 - b + 1. What is the least common multiple of j(2) and (-141)/(-15) + (-4)/10?
63
Suppose -4*p + c = -0*p - 54, 4*c + 20 = 2*p. Calculate the smallest common multiple of 2 and p.
14
Let f = 8822165/36062 - 93024/365. Let z = -30/247 - f. Suppose -3*a + 3 = 0, -y = -5*a - 7 - 13. Find the common denominator of y and z.
10
Let c be -2 + (18/(-3))/(-1). Suppose 3*h - 2*h - c*o + 5 = 0, -h + 2*o = -1. Calculate the smallest common multiple of h and 2.
14
Let h(b) = 3*b**2 + b. Let q be h(3). Calculate the least common multiple of 1 and ((-4)/(-5))/(3/q).
8
Suppose 3*x + x = 12. Let o be (x - 9)/(32/(-47)). Let t = o + 625/48. Find the common denominator of t and -69/14.
42
Let x(w) = w + 5. Let o(z) = -4*z. Let d be o(-6). Let f = d + -15. What is the lowest common multiple of x(6) and f?
99
Let c(r) = 2*r**2 - 3*r. What is the smallest common multiple of c(3) and 3?
9
Let k(y) = 2*y + 4. Suppose -24 = 5*p + o - 66, -3*o + 6 = 0. Calculate the least common multiple of p and k(5).
56
Let y = 127/32 - 523/32. Let m = -279 - -800/3. Calculate the common denominator of m and y.
24
Let y = 9781/9 + -1093. What is the common denominator of y and 79/6?
18
Let j be -2 + (-182517)/30 + -1. Let z = 6081 + j. Find the common denominator of z and 35/6.
30
Suppose 3*t = -2*a + 54, 5*t - 85 = -4*a - a. Find the common denominator of 11/9 and -1*2
|
{
"pile_set_name": "DM Mathematics"
}
|
*l**2 + 18*l + 7. Is a(16) a multiple of 7?
False
Let j = 6 - 2. Does 12 divide (-594)/(-24) - 3/j?
True
Let n(p) = p - 4. Let q be n(8). Suppose q*b = b - 24. Let l = 18 + b. Is 5 a factor of l?
True
Let g = 43 + 4. Let c = 125 - g. Is c a multiple of 22?
False
Let c(m) be the first derivative of m**3/3 + 5*m**2/2 - 2. Is c(-6) even?
True
Let g = 84 + -8. Does 11 divide g?
False
Let z(b) = 0*b**2 + 0*b**3 - b**3 + 2*b + b**2 - 6. Is z(-3) a multiple of 12?
True
Suppose y + 2*y = 837. Is 43 a factor of y?
False
Let m be 356/(-28) + 2/(-7). Let u = m - -25. Suppose -7*n - 25 = -u*n. Is 2 a factor of n?
False
Let a = 326 - 229. Is 22 a factor of a?
False
Let w be (-4)/14 - (-200)/14. Is 14 a factor of (w - 9)*10/2?
False
Suppose -3*c = -4*l - 205, 4*c + 0*l - 266 = -2*l. Is 6 a factor of c?
False
Suppose i - 32 = -13. Does 3 divide i?
False
Is -1 - -53 - (3 - -1) a multiple of 12?
True
Let f(u) = 32*u**2 - 2*u + 1. Is f(1) a multiple of 2?
False
Let q be (-2 + 4/2)/(-1). Suppose q*u + 5*u = 125. Is u a multiple of 8?
False
Let q = 865 + -559. Does 20 divide q?
False
Is 22*(3 + (-34)/8)*-4 a multiple of 12?
False
Let a be 12/(-30) - 27/(-5). Suppose -5*j - 4 = -n - 20, -a*j + 20 = 0. Is 2 a factor of n?
True
Let i(l) = -l**3 + 5*l**2 - l - 1. Let w be i(5). Let y(g) = -g**3 - 7*g**2 - 4*g + 8. Let h be y(w). Is h/(-14) + 136/14 a multiple of 5?
True
Let v be -4*(1/(-2) + 0). Suppose v*n + 3*k = 8, 2*n + 0*n - 3*k + 16 = 0. Let q = 4 - n. Is 2 a factor of q?
True
Let i(a) = 23*a**2 + 4. Is i(2) a multiple of 24?
True
Suppose 4*j = y - 78, 5*y - 71 = 4*y - 3*j. Let a = 139 - y. Is a a multiple of 19?
False
Suppose 3*s = 6, j = 3*j - 3*s - 66. Is 12 a factor of j?
True
Let k be 73/(-5) - (-6)/(-15). Let p be (-6)/21 + k/21. Is ((-2)/6)/(p/9) a multiple of 3?
True
Let c(d) = -34*d + 18. Is c(-6) a multiple of 19?
False
Suppose -5*i = 15 - 365. Does 16 divide i?
False
Let b = -2 + 4. Let a(f) = 7*f**2 + 5*f + 2. Let z be a(-3). Suppose -6 - z = -b*y. Is 14 a factor of y?
True
Let h(v) = -19*v - 6. Let a be h(-4). Suppose -2*j = -2*p + a, p + j - 20 = 5*j. Is 20 a factor of p?
True
Suppose 4*d = 12 - 0. Suppose -d*g = -s - 31, -2*g + s + 5 = -15. Is g a multiple of 11?
True
Let x = 304 + -151. Suppose -4*c + x = -147. Is 14 a factor of c?
False
Let h be 6/9 + (-19)/(-3). Let o(m) = 13*m**2 - 7*m + 7. Let p(f) = -7*f**2 + 3*f - 4. Let u(b) = -6*o(b) - 11*p(b). Is u(h) a multiple of 8?
True
Is -5*(-3 - 19/5) a multiple of 8?
False
Suppose -24 = -6*r - 0. Suppose 3*h + r*z = -h + 104, h - 2 = 5*z. Is 11 a factor of h?
True
Let g = 45 - -6. Is g a multiple of 22?
False
Let o(b) be the third derivative of 7*b**4/24 - 8*b**2. Suppose 30 = 3*m + 4*i, -3 = -5*m + 5*i + 12. Is 21 a factor of o(m)?
True
Let f(k) = -k**3 + 2*k + 1. Suppose -4*b = -2*b - 4. Suppose -h + b = 5. Is f(h) a multiple of 13?
False
Let b be (42/(-4))/((-3)/4). Let l(z) = 8*z + 3. Let h be l(6). Suppose -3*t + b = y, h = 2*y + 3*y - 4*t. Is 4 a factor of y?
False
Let z = -8 + 12. Suppose 0 = -z*s - 0*s + 8. Suppose g + s = 7. Does 4 divide g?
False
Let f(y) = 4*y**2 - 8*y - 10. Let t(p) = -5*p**2 + 7*p + 11. Let i(j) = 6*f(j) + 5*t(j). Does 9 divide i(-8)?
False
Let j = -22 - -27. Is 5 a factor of j?
True
Let o(t) = 6*t**2 - t. Let j(f) = f**2 - 5*f - 4. Let b be j(6). Is o(b) a multiple of 13?
False
Let y = 501 - 181. Does 20 divide y?
True
Let m = -9 - -70. Is 28 a factor of m?
False
Let b(u) = u**2 + u + 6. Let g = -1 - -1. Suppose -3*f - 3 = -5*t - g*t, -5*t = -2*f - 2. Does 6 divide b(t)?
True
Suppose -15 = -3*i, -5*i + 57 = 3*a + a. Suppose -a = -4*n + 2*n. Suppose m + 12 = n*m. Is m a multiple of 3?
False
Let k = 56 - -145. Is k a multiple of 16?
False
Is 520/56 + (-2)/7 a multiple of 3?
True
Suppose 9*s - 20 = 4*s. Suppose -s = 2*z - 24. Does 5 divide z?
True
Let u be -1 + (-2 - -5) - 9. Let q(h) = -h**3 - 6*h**2 + 6*h - 10. Let x be q(u). Is 21 a factor of 7/(x/72*-3)?
False
Let m(f) = -1 + 21*f**3 + 2 + 10*f**3. Is m(1) a multiple of 16?
True
Let j(m) = -45*m**3 - 2*m**2 - m + 1. Let h(n) = n**2 - 5*n - 7. Let r be h(6). Is 15 a factor of j(r)?
True
Let l be (-30)/(-26) + 6/(-39). Let w be (-1)/(-2)*(85 + l). Let t = 83 - w. Is t a multiple of 20?
True
Suppose 0 = -3*i - 0*j - j + 28, i - 16 = 3*j. Let c = 12 + i. Does 8 divide c?
False
Suppose 2 = 6*c - 4*c. Is 1 + (c + 14 - -2) a multiple of 18?
True
Suppose 0 = -2*i + 7*i - 25. Suppose -2*v + 3 = -i.
|
{
"pile_set_name": "DM Mathematics"
}
|
of 8, 26, 56, 98?
6*u**2 + 2
What is the c'th term of 48, 50, 56, 66?
2*c**2 - 4*c + 50
What is the a'th term of -76, -152, -228, -304?
-76*a
What is the q'th term of 6054, 12105, 18156, 24207, 30258?
6051*q + 3
What is the q'th term of 14, 18, 4, -40, -126, -266, -472?
-2*q**3 + 3*q**2 + 9*q + 4
What is the w'th term of 168, 174, 184, 198, 216, 238?
2*w**2 + 166
What is the g'th term of -20, -41, -62?
-21*g + 1
What is the i'th term of -309, -322, -343, -372?
-4*i**2 - i - 304
What is the l'th term of -379, -394, -411, -430, -451?
-l**2 - 12*l - 366
What is the z'th term of 94, 240, 438, 688?
26*z**2 + 68*z
What is the d'th term of -59, -39, -17, 7?
d**2 + 17*d - 77
What is the u'th term of 6942, 6940, 6938, 6936, 6934?
-2*u + 6944
What is the v'th term of -9, -7, -13, -33, -73, -139, -237, -373?
-v**3 + 2*v**2 + 3*v - 13
What is the b'th term of 2, 12, 22, 32, 42?
10*b - 8
What is the q'th term of -5911, -5909, -5907, -5905?
2*q - 5913
What is the h'th term of -2, -2, 2, 10, 22?
2*h**2 - 6*h + 2
What is the q'th term of -807, -801, -795, -789?
6*q - 813
What is the c'th term of -92, -182, -272, -362?
-90*c - 2
What is the z'th term of 8, 17, 18, 5, -28, -87, -178, -307?
-z**3 + 2*z**2 + 10*z - 3
What is the w'th term of 5, 8, 9, 8, 5, 0?
-w**2 + 6*w
What is the n'th term of 2362, 2356, 2338, 2302, 2242, 2152, 2026?
-n**3 + n + 2362
What is the x'th term of 49, 96, 143, 190?
47*x + 2
What is the p'th term of -32, -84, -150, -230, -324, -432, -554?
-7*p**2 - 31*p + 6
What is the b'th term of 24, -43, -200, -447, -784, -1211?
-45*b**2 + 68*b + 1
What is the p'th term of -116, -218, -308, -386, -452?
6*p**2 - 120*p - 2
What is the r'th term of -198, -1614, -5454, -12930, -25254, -43638?
-202*r**3 - 2*r + 6
What is the q'th term of -13, -29, -45, -61, -77?
-16*q + 3
What is the h'th term of -11, -29, -65, -125, -215, -341, -509?
-h**3 - 3*h**2 - 2*h - 5
What is the t'th term of -6, 9, 48, 123, 246?
2*t**3 + t - 9
What is the r'th term of -289, -266, -229, -172, -89?
r**3 + r**2 + 13*r - 304
What is the p'th term of -5, -2, 1?
3*p - 8
What is the o'th term of 416, 418, 420, 422?
2*o + 414
What is the r'th term of 189, 197, 227, 291, 401, 569, 807, 1127?
2*r**3 - r**2 - 3*r + 191
What is the t'th term of -46, -198, -452, -808?
-51*t**2 + t + 4
What is the p'th term of 24, 29, 32, 33, 32?
-p**2 + 8*p + 17
What is the j'th term of 1294, 1297, 1302, 1309, 1318, 1329, 1342?
j**2 + 1293
What is the g'th term of 4, 39, 96, 175?
11*g**2 + 2*g - 9
What is the n'th term of -22, -68, -138, -226, -326, -432?
n**3 - 18*n**2 + n - 6
What is the h'th term of -461, -926, -1391, -1856, -2321?
-465*h + 4
What is the v'th term of 0, -12, -30, -54, -84, -120?
-3*v**2 - 3*v + 6
What is the z'th term of -55, -189, -403, -691, -1047, -1465?
z**3 - 46*z**2 - 3*z - 7
What is the q'th term of 29, 69, 109, 149, 189?
40*q - 11
What is the u'th term of 33, 73, 135, 225, 349, 513, 723?
u**3 + 5*u**2 + 18*u + 9
What is the m'th term of -55, -112, -169, -226?
-57*m + 2
What is the y'th term of -41, -272, -895, -2108, -4109, -7096, -11267?
-33*y**3 + 2*y**2 - 6*y - 4
What is the s'th term of -5, 10, 35, 76, 139, 230, 355?
s**3 - s**2 + 11*s - 16
What is the f'th term of -9, -12, -19, -30, -45, -64, -87?
-2*f**2 + 3*f - 10
What is the k'th term of 155, 560, 1241, 2204, 3455, 5000, 6845?
k**3 + 132*k**2 + 2*k + 20
What is the o'th term of -164, -188, -234, -302, -392, -504, -638?
-11*o**2 + 9*o - 162
What is the i'th term of -149, -150, -153, -158?
-i**2 + 2*i - 150
What is the p'th term of -9, -124, -421, -990, -1921, -3304?
-15*p**3 - p**2 - 7*p + 14
What is the p'th term of 4350, 4348, 4346, 4344, 4342, 4340?
-2*p + 4352
What is the y'th term of 6, 18, 44, 90, 162, 266, 408?
y**3 + y**2 + 2*y + 2
What is the v'th term of -91, -99, -109, -121?
-v**2 - 5*v - 85
What is the i'th term of -37, -75, -113?
-38*i + 1
What is the o'th term of -1009, -2045, -3081, -4117, -5153?
-1036*o + 27
What is the m'th term of 1442, 1443, 1444?
m + 1441
What is the c'th term of -23, -70, -117, -164?
-47*c + 24
What is the z'th term of 331, 668, 1031, 1432, 1883, 2396?
2*z**3 + z**2 + 320*z + 8
What is the v'th term of -173, -
|
{
"pile_set_name": "DM Mathematics"
}
|
f picking 4 k?
1/1820
Two letters picked without replacement from {x: 2, s: 4}. Give prob of picking 2 x.
1/15
Four letters picked without replacement from {i: 4, j: 10, m: 3, y: 1}. Give prob of picking 1 y and 3 j.
2/51
Calculate prob of picking 2 z and 1 l when three letters picked without replacement from ztajctlctlczza.
3/182
What is prob of picking 1 v and 2 l when three letters picked without replacement from {l: 3, a: 1, v: 4}?
3/14
Three letters picked without replacement from {t: 2, d: 6}. Give prob of picking 3 d.
5/14
Four letters picked without replacement from {f: 1, e: 18}. What is prob of picking 4 e?
15/19
What is prob of picking 1 z, 1 e, and 1 r when three letters picked without replacement from rrrrrrdrzdgrrzerz?
3/68
What is prob of picking 3 c and 1 y when four letters picked without replacement from {p: 4, y: 1, c: 3}?
1/70
What is prob of picking 4 s when four letters picked without replacement from {j: 1, s: 4, n: 1, q: 2, t: 1}?
1/126
Calculate prob of picking 2 m and 1 e when three letters picked without replacement from {m: 3, e: 2}.
3/5
Two letters picked without replacement from {q: 1, b: 2, r: 2, y: 1, l: 1}. What is prob of picking 1 b and 1 l?
2/21
Calculate prob of picking 1 v, 1 i, and 1 m when three letters picked without replacement from {i: 6, m: 2, v: 8, c: 3}.
32/323
What is prob of picking 2 g when two letters picked without replacement from flgfw?
0
Two letters picked without replacement from {k: 3, d: 4}. What is prob of picking 1 k and 1 d?
4/7
Three letters picked without replacement from {u: 1, i: 1, h: 2, m: 2, t: 1}. What is prob of picking 2 h and 1 i?
1/35
Four letters picked without replacement from {x: 5, g: 8}. What is prob of picking 3 g and 1 x?
56/143
Calculate prob of picking 1 o and 1 z when two letters picked without replacement from ozoz.
2/3
What is prob of picking 3 m and 1 u when four letters picked without replacement from {f: 3, u: 4, b: 1, m: 5}?
8/143
What is prob of picking 2 u when two letters picked without replacement from uuqqqqqqddququqq?
1/20
Two letters picked without replacement from {t: 1, k: 2, i: 1, g: 1, d: 2}. Give prob of picking 1 k and 1 d.
4/21
Calculate prob of picking 1 m, 1 p, and 1 l when three letters picked without replacement from lllllllplmlll.
1/26
Calculate prob of picking 3 n when three letters picked without replacement from {x: 5, n: 5}.
1/12
Calculate prob of picking 1 f and 1 w when two letters picked without replacement from fwd.
1/3
Calculate prob of picking 3 w and 1 a when four letters picked without replacement from xxxaawdwkwjwjxx.
8/1365
Calculate prob of picking 3 z and 1 i when four letters picked without replacement from zzzziziiiizi.
8/33
Three letters picked without replacement from {c: 1, b: 7, w: 5}. Give prob of picking 1 c, 1 b, and 1 w.
35/286
What is prob of picking 3 y when three letters picked without replacement from {y: 3, a: 4}?
1/35
Calculate prob of picking 2 n, 1 l, and 1 g when four letters picked without replacement from gnnyblwwbbln.
2/165
Two letters picked without replacement from {e: 1, r: 2, s: 2, n: 1, g: 1}. Give prob of picking 1 s and 1 e.
2/21
What is prob of picking 1 x and 1 d when two letters picked without replacement from xhxgmgndh?
1/18
What is prob of picking 4 u when four letters picked without replacement from {x: 7, u: 1}?
0
Three letters picked without replacement from cyddpc. What is prob of picking 1 p and 2 c?
1/20
Three letters picked without replacement from iitpm. What is prob of picking 1 m and 2 i?
1/10
Calculate prob of picking 2 u and 1 e when three letters picked without replacement from {p: 1, g: 1, f: 2, e: 1, u: 2}.
1/35
Calculate prob of picking 1 p and 1 q when two letters picked without replacement from diripdrrdrdqni.
1/91
Two letters picked without replacement from {l: 1, j: 1, o: 3, e: 2, x: 13}. Give prob of picking 1 l and 1 j.
1/190
What is prob of picking 3 t and 1 k when four letters picked without replacement from {k: 6, t: 6}?
8/33
What is prob of picking 1 f, 2 i, and 1 h when four letters picked without replacement from ifxxfhifiixxifhih?
9/119
Four letters picked without replacement from {a: 2, k: 3, f: 3}. Give prob of picking 2 k and 2 a.
3/70
What is prob of picking 4 j when four letters picked without replacement from ttjtzgqzqjqtjjtzgzoz?
1/4845
Three letters picked without replacement from {p: 5, h: 2, m: 4, x: 7}. Give prob of picking 1 x and 2 m.
7/136
Two letters picked without replacement from iiiibiibuiu. What is prob of picking 1 i and 1 b?
14/55
Three letters picked without replacement from {j: 1, e: 4, c: 3, k: 1, b: 1, t: 5}. Give prob of picking 2 e and 1 t.
6/91
What is prob of picking 1 k and 1 g when two letters picked without replacement from hkkhhpggpgpgpggpgpp?
14/171
What is prob of picking 2 f when two letters picked without replacement from {f: 5, x: 13}?
10/153
Three letters picked without replacement from dlddgdpndppppgw. Give prob of picking 1 d, 1 p, and 1 l.
5/91
Two letters picked without replacement from {u: 1, h: 4, o: 1, f: 2, t: 1}. What is prob of picking 1 f and 1 o?
1/18
Three letters picked without replacement from ssqnjcjjjj. Give prob of picking 2 j and 1 n.
1/12
Four letters picked without replacement from jeewbgdjg. What is prob of picking 1 g, 1 w, 1 d, and 1 b?
1/63
Calculate prob of picking 1 j and 2 d when three letters picked without replacement from {q: 1, x: 1, n: 4, j: 2, d: 2}.
1/60
Calculate prob of picking 1 e and 1 f when two letters picked without replacement from fppphpfhphpue.
1/39
What is prob of picking 2 q when two letters picked without replacement from qqqqqqqqqqqqqdq?
13/15
What is prob of picking 4 k when four letters picked without replacement from kkppkpkkppkkkk?
18/143
What is prob of picking 1 q and 1 k when two letters picked without replacement from {p: 2, b: 7, c: 1, q: 3, k: 2, d: 3}?
2/51
What is prob of picking 1 s and 3 c when four letters picked without replacement from {s: 2, c: 5}?
4/7
Three letters picked without replacement from ppppppppppjpp. What is prob of picking 2 p and 1 j?
3/13
Three letters picked without replacement from qimqiihmmqmm. What is prob of picking 1 i, 1 q, and 1 h?
9/220
Four letters picked without replacement from ooofhwowwpfofo. What is prob of picking 2 w and 2 o?
45/1001
What is prob of picking 1 z and 1 v when two letters picked without replacement from ckzcckvkizazcvaza?
1/17
Two letters picked without replacement from nppaxppppnnpxpppnt. Give prob of picking 1 t and 1 a.
1/153
Three letters picked without replacement from ajjannuvnavnav. What is prob of picking 2 a and 1 j?
3/91
Three letters picked without replacement from qttcqqtc. Give prob of picking 1
|
{
"pile_set_name": "DM Mathematics"
}
|
r(-3). Factor -g - 89/2*u + 7/2*u**2.
(u - 13)*(7*u + 2)/2
Factor -1161*a**2 + 270 + 372*a**2 + 5*a**3 - 75*a + 370*a**2 + 379*a**2.
5*(a - 9)*(a - 2)*(a + 3)
Let t be 0 - (-29 - 3) - -4. Let a be (t/(-7))/((-765)/210). Find c, given that -a*c + 6/17*c**5 - 64/17*c**2 - 42/17*c**3 + 4/17*c**4 + 0 = 0.
-2, -1, -2/3, 0, 3
Let -12*x**5 + 56*x**4 - 93*x**4 - 124*x - 264*x**2 + 1 - 63*x**4 - 248*x**3 - 21 = 0. Calculate x.
-5, -1, -1/3
Let x(k) be the third derivative of -1/630*k**7 + 10*k**2 + 0*k - 1/2016*k**8 + 1/90*k**5 + 0*k**3 + 1/240*k**6 - 5 - 1/36*k**4. Solve x(u) = 0 for u.
-2, 0, 1
Let q = 7624 - 7621. Let -20/7*y**4 - 48/7*y**q + 0 + 20/7*y**2 + 50/7*y - 2/7*y**5 = 0. What is y?
-5, -1, 0, 1
Let h(y) be the second derivative of -30 + 16/3*y**2 - y + 5/18*y**4 + 1/30*y**5 - 22/9*y**3. Determine k, given that h(k) = 0.
-8, 1, 2
Let q(v) be the third derivative of -v**5/48 + 245*v**4/96 - 75*v**3 + 2*v**2 - 2330*v + 2. Factor q(n).
-5*(n - 40)*(n - 9)/4
Let v(x) = 2*x**2 - 528*x - 1031. Let y(c) = 6*c**2 - 2112*c - 4127. Let w(t) = 11*v(t) - 3*y(t). Factor w(j).
4*(j + 2)*(j + 130)
Factor 35*b - 415*b**2 - 26*b - 10*b**2 - 1923*b**2 - 175*b**2.
-3*b*(841*b - 3)
Let h(v) be the third derivative of -v**8/1680 + v**7/90 - v**6/15 - 23*v**4/12 - 2*v**2 - 15. Let u(p) be the second derivative of h(p). Factor u(k).
-4*k*(k - 4)*(k - 3)
Let t(m) be the third derivative of -m**6/24 - m**5/12 + 10*m**4/3 + 40*m**3/3 - 521*m**2. Factor t(z).
-5*(z - 4)*(z + 1)*(z + 4)
Suppose 30 + 55/4*k**2 - 5/2*k**3 + 185/4*k = 0. What is k?
-3/2, -1, 8
Let o(i) be the first derivative of -2*i**6/15 + 1249*i**5/25 - 32832*i**4/5 + 4785586*i**3/15 - 7150466*i**2/5 + 3278181*i/5 - 3029. Let o(d) = 0. What is d?
1/4, 3, 103
Let p = 628 - 659. Let a = p + 33. Factor 2/19*j**a - 6/19*j + 0.
2*j*(j - 3)/19
Let f = -1980 + 2019. Suppose -3*y + f = 10*y. Suppose -2/5*o - 4/5*o**2 + 2/5*o**y + 4/5 = 0. What is o?
-1, 1, 2
Let j be -1 + 2 - 2 - (3 + -46). Suppose 2*i - j = -8. Let -8*w**3 - w**4 + i*w**4 - 12*w**5 + 4*w**4 = 0. Calculate w.
0, 2/3, 1
Suppose -5*n + 140 = -0*n - 5*z, z + 156 = 5*n. Determine l, given that 2*l**5 + 4*l**3 - 6*l**4 + 16*l**4 - n*l**2 + 16*l**2 = 0.
-4, -2, 0, 1
Let q(n) be the second derivative of 5*n**4/12 + 115*n**3/6 + 255*n**2 - 594*n. Determine r, given that q(r) = 0.
-17, -6
Suppose 356*h - 361*h + 3*k = -10, -5*h = 4*k - 45. Solve 2/3*z**h - 4*z**4 - 10/3*z + 8/3*z**3 + 0 + 4*z**2 = 0.
-1, 0, 1, 5
Let i be 6/60 + 5075/1750. Factor 0*z + 2/11*z**5 - 4/11*z**i - 2/11*z**4 + 0 + 0*z**2.
2*z**3*(z - 2)*(z + 1)/11
Let h(f) = -59*f**2 - 441*f - 14770. Let y(x) = 7*x**2 + 55*x + 1846. Let d(m) = -6*h(m) - 50*y(m). Let d(p) = 0. What is p?
-20, 46
Let r(c) = -c**3 + 22*c**2 + 25*c - 34. Let l be r(23). Factor 8 + 18*s - 23*s**2 + 27*s**2 + 0*s**2 + l*s**3 + 6*s + 2*s**4 + 22*s**2.
2*(s + 1)**2*(s + 2)**2
Let z(u) be the third derivative of u**6/60 + 4*u**5/45 - 37*u**4/36 - 14*u**3/3 + u**2 + 838. Factor z(g).
2*(g - 3)*(g + 1)*(3*g + 14)/3
Let j be 1*122*1/(-18) + 7. Factor 0 - j*g**3 + 2/9*g**2 - 2/9*g**4 + 2/9*g.
-2*g*(g - 1)*(g + 1)**2/9
Let o(b) be the third derivative of b**6/360 - 5*b**5/24 + b**4 + 46*b**3 + b**2 + 12*b. Let p(z) be the first derivative of o(z). Factor p(s).
(s - 24)*(s - 1)
Let d = -9 + 16. Let r be (27/(-30))/((-30)/200). Factor 10*w**2 - 6*w + d*w - r*w - 5*w**3.
-5*w*(w - 1)**2
Let w(i) be the third derivative of 0 + 160*i**2 - 8/735*i**7 + 5/7*i**4 - 109/210*i**5 + 0*i - 3/7*i**3 + 9/70*i**6. Determine z so that w(z) = 0.
1/4, 1/2, 3
Suppose -9*u + 13*u - 3768 = 0. Let k = 945 - u. Factor 35/2*z - 25/2*z**2 - 15/2 + 5/2*z**k.
5*(z - 3)*(z - 1)**2/2
Let o(z) = -z**3 + 5*z**2 - 5*z + 6. Let d be o(4). Factor 5*r**3 + 10 + 24*r + r - 874*r**d + 894*r**2.
5*(r + 1)**2*(r + 2)
Suppose -11*d = -1469 + 457. Factor 2
|
{
"pile_set_name": "DM Mathematics"
}
|
wrt a?
-8730
Let o be (14/42)/(3/45) + 187. Differentiate -o - 1571*g - 1569*g + g**2 + 3140*g - 9*g**3 wrt g.
-27*g**2 + 2*g
Let o(q) = q**5 + q**3 - 4*q**2 - q + 1. Let d(f) = 1256*f**5 + f**3 + 3*f**2 - f + 10. Let w(n) = -d(n) + o(n). What is the third derivative of w(k) wrt k?
-75300*k**2
Let d = -117 + 129. Let k(b) be the first derivative of d*b - 3 - b - 10*b + 20 + 10*b**3. Find the first derivative of k(q) wrt q.
60*q
Let s(g) = -31*g**4 - 121*g**2 + 1314*g - 30. Let r(m) = -3*m**4 - m**2 + m - 3. Let v(l) = -10*r(l) + s(l). Find the second derivative of v(a) wrt a.
-12*a**2 - 222
What is the first derivative of 6*g**4 + 126*g**2 + 129*g**2 + 129*g**2 - 380*g**2 + 14*g**3 + 5910 wrt g?
24*g**3 + 42*g**2 + 8*g
Find the first derivative of 55*t**3 - 4*t**2 + 1000 + 198*t**3 + 791*t**3 + 4*t**2 wrt t.
3132*t**2
Let o(h) be the third derivative of h**9/126 + h**7/210 - 19*h**6/12 + h**5/60 - 2023*h**4/24 + 168*h**2. What is the third derivative of o(w) wrt w?
480*w**3 + 24*w - 1140
Let s(n) be the first derivative of -233/3*n**3 + 0*n - 41/2*n**6 + 94 + 0*n**4 + 0*n**2 + 0*n**5. Find the third derivative of s(i) wrt i.
-7380*i**2
Let l(y) = -3*y + 32. Let b(w) be the first derivative of w**3/3 - 77. Let k(x) = b(x) + l(x). Differentiate k(o) with respect to o.
2*o - 3
Let s(m) = 61 + 10*m - 30 - 64 - 4*m**2. Let l(z) = -4*z**2 + 9*z - 31. Let p(b) = 4*l(b) - 3*s(b). What is the first derivative of p(i) wrt i?
-8*i + 6
Find the second derivative of -578*n - 2923421*n**3 + 5468*n + 2920306*n**3 wrt n.
-18690*n
Let i(f) be the third derivative of 1/12*f**4 + f + 97*f**2 - 16/15*f**5 + 0 - 41/6*f**3. Differentiate i(n) wrt n.
-128*n + 2
Suppose -x + 16 = -10*r + 5*r, -5 = -5*r. What is the third derivative of 486*z**6 - 487*z**6 + 12*z**4 - 6*z**4 + x - 2*z**2 wrt z?
-120*z**3 + 144*z
What is the second derivative of 72*n**2 - n + 7632 + 9613 - 15658 + 11*n**4 wrt n?
132*n**2 + 144
Suppose -g - 2*a = -4, -a + 9 = 2*g + 4*a. What is the first derivative of -7*v + 2*v**3 - 3*v**g - 103 - 10*v**2 + 13*v**2 wrt v?
6*v**2 - 7
Suppose 2*x - 82 = 2*h, 8*x - 6*x = -h + 76. Find the second derivative of -4 + 42*p**2 - 2*p**4 - 12*p - 1 + 4 - x*p**2 wrt p.
-24*p**2 + 6
Let a(f) = 806*f + 1332. Let m(z) = -827*z - 1332. Let j(g) = -2*a(g) - 3*m(g). Differentiate j(s) wrt s.
869
Let b(y) be the third derivative of -233*y**6/20 + y**5/30 + 3*y**4/4 - 20*y**3/3 - 5556*y**2. Find the second derivative of b(p) wrt p.
-8388*p + 4
Let r(g) be the first derivative of 677*g**4/4 - 32*g**3/3 - 4*g + 32. Find the third derivative of r(h) wrt h.
4062
Let x(a) = a + 8. Let b be x(-5). Suppose b*d - 12 = 0, -3*o - d - 3*d = -22. Find the second derivative of -p - 8*p - o*p**2 - 5*p**2 wrt p.
-14
Let n = 286 - 284. What is the second derivative of m**2 + 25*m**n + 6*m + 15*m**2 + 1 + 1 wrt m?
82
Let m be ((-7)/5 + -1)/((-130)/325). Let g = 0 + m. Find the second derivative of 14 + 25*c + 17 - 31 + g*c**5 wrt c.
120*c**3
What is the derivative of 1169 + 408*b + 1486 + 4418*b + 3656*b + 633*b wrt b?
9115
Let b(m) be the second derivative of -m**5/20 + m**4/2 + 453*m**2/2 - 5*m + 149. What is the derivative of b(t) wrt t?
-3*t**2 + 12*t
Let n(h) be the third derivative of -17*h**8/336 - h**7/15 + 19*h**4/24 + 2*h**3 + 1283*h**2. Find the second derivative of n(b) wrt b.
-340*b**3 - 168*b**2
Let w(c) = -54*c**3 + 5*c**2 + c - 130. Let p(k) = -109*k**3 + 11*k**2 + 2*k - 259. Let v(h) = 5*p(h) - 11*w(h). Find the second derivative of v(z) wrt z.
294*z
Let w(r) = -1767*r + 3313. Let j(q) = -590*q + 1105. Let s(u) = -10*j(u) + 3*w(u). Differentiate s(a) with respect to a.
599
Suppose -8*a + 168 = -6*a. Suppose 9*s - a = 132. Find the second derivative of -21*k + 9*k - s*k**4 + 4*k**4 wrt k.
-240*k**2
Let h(z) be the second derivative of -7*z**6/30 + 11*z**5/4 + 16*z**4/3 - 3*z**3/2 + 3077*z. Find the third derivative of h(s) wrt s.
-168*s + 330
What is the derivative of -1574 + 149*x**4 - 17*x + 19*x + 113*x**4 + 30*x**4 wrt x?
1168*x**3 + 2
Suppose 14*g = 3*g + 231. What is the first derivative of 72 + 77 - g*j**3 - 180 - 17*j**3 wrt j?
-114*j**2
Let f(g) = -138*g**2 - 15*g + 2747. Let l(v) = -2*v - 13. Let p(y) = f(y) - 4*l(y). What is the derivative of p(t) wrt t?
-276*t - 7
Let a(i) = 504*i**2 - 6341*i + 3. Let l(b) = -1507*b**2 + 19041*b - 8. Let v(
|
{
"pile_set_name": "DM Mathematics"
}
|
rivative of -g**6/50 - 21*g**5/100 - 3*g**4/10 - 21*g - 6. Suppose x(k) = 0. Calculate k.
-6, -1, 0
Let f be (-3 - 28/(-8))*-4*-2. Let r(y) be the second derivative of 0 + 0*y**2 + 5/147*y**7 + 5*y + 0*y**3 + 8/105*y**6 - 1/21*y**f + 1/70*y**5. Factor r(o).
2*o**2*(o + 1)**2*(5*o - 2)/7
Let t(j) be the second derivative of 24*j - 25/12*j**3 - 1/3*j**6 + 5/2*j**2 + 1/2*j**5 + 5/84*j**7 + 5/12*j**4 + 0. Factor t(w).
5*(w - 2)*(w - 1)**3*(w + 1)/2
Suppose -26 = 25*b - 126. Let k(r) be the second derivative of 0 + 1/6*r**b + 2/3*r**3 - 1/10*r**5 + 0*r**2 + r. Factor k(i).
-2*i*(i - 2)*(i + 1)
Let k(m) = 3*m. Let y(f) = -4*f**2 + 8*f - 160. Let s(b) = 20*k(b) - y(b). Find v, given that s(v) = 0.
-8, -5
Let c = 128/345 - -2/69. Suppose -3*i = -581 + 575. Suppose 0 - 2/5*l - c*l**5 - 12/5*l**3 + 8/5*l**i + 8/5*l**4 = 0. Calculate l.
0, 1
Let 45*c**4 - 134*c**3 + 230*c**2 + 45 - 165*c - 15*c**5 + 5*c**3 + 10*c**5 - 21*c**3 = 0. Calculate c.
1, 3
Let t(l) be the second derivative of l**5/190 + 2*l**4/19 + 11*l**3/57 + 146*l + 1. Find y such that t(y) = 0.
-11, -1, 0
Let o(w) be the first derivative of w**3/30 + 6*w**2 + 360*w + 142. Factor o(b).
(b + 60)**2/10
Suppose 0 = -93*u + 1128 - 942. Find p such that 2/3 + 0*p**4 - 2/3*p**u + 8/3*p**5 + 2*p - 14/3*p**3 = 0.
-1, -1/2, 1
Suppose 0 = -3*g + 51 - 9. Let l be (-36)/((-18)/2) - 52/g. Solve 0 + 0*i - 2/7*i**4 + 4/7*i**3 - l*i**2 = 0.
0, 1
Let z be -1*(4 - 3) - 59. Let w be (z/(-50))/((-6)/(-100)). Determine c so that -2 + 4*c**5 + 0*c**5 - 9*c**5 - 10*c**4 + 3*c**5 - 20*c**3 - 10*c - w*c**2 = 0.
-1
Let r be (-50)/(-4)*(-28)/35. Let q be ((-18)/r)/(10/50). What is w in 3*w + 3*w - q*w**2 - w + 11*w**2 + 2 = 0?
-2, -1/2
Find i such that -6 + 3/8*i**2 + 3/8*i**3 - 6*i = 0.
-4, -1, 4
Let v(s) be the second derivative of -s**4/15 + 5*s**3/3 - 12*s**2/5 - 41*s. Suppose v(l) = 0. What is l?
1/2, 12
Suppose 0*j = 3*j - 117. Solve -27*a**2 + 4*a**3 - 8 + 2*a**4 + 0*a**4 - 4*a + j*a**2 - 6*a**4 = 0 for a.
-1, 1, 2
Let w(z) be the third derivative of -z**5/45 - 28*z**4/9 + 40*z**2. Find a such that w(a) = 0.
-56, 0
Suppose 2*l - 24 = -4*l. What is z in 21*z**2 + 3 - l - 1 + 8 - 27*z = 0?
2/7, 1
Let t(j) = 10*j**2 + 60*j - 120. Let l(a) = -a**2 - 2*a. Let g(n) = 5*l(n) + t(n). Factor g(q).
5*(q - 2)*(q + 12)
Let a(m) = m**3 - 68*m**2 + 125*m + 464. Let u be a(66). Factor -5/4*h**u + 0*h - 5/4*h**3 + 0.
-5*h**2*(h + 1)/4
Let q = -22/637 - -16672/3185. Find f, given that 0 - q*f**3 + 42/5*f**4 - 24/5*f**2 + 8/5*f = 0.
-2/3, 0, 2/7, 1
Factor 5/4*w + 1/2*w**2 - 1/4*w**5 - w**4 - w**3 + 1/2.
-(w - 1)*(w + 1)**3*(w + 2)/4
Suppose w - 4 + 21 = 2*b, 0 = -b - w + 4. Let g(p) = -16*p**2 + 16*p + 7. Let o(q) = 5*q**2 - 5*q - 2. Let r(s) = b*o(s) + 2*g(s). Factor r(j).
3*j*(j - 1)
Let r be ((-8)/(-91))/(241/6748). Factor r - 48/13*v - 2/13*v**3 + 18/13*v**2.
-2*(v - 4)**2*(v - 1)/13
Suppose 6 = -3*o - 3*u, u + 14 = 4*o + o. Let l(i) be the first derivative of -1/5*i**5 + 3/4*i**4 + 1/2*i**o - i**3 - 6 + 0*i. Determine n so that l(n) = 0.
0, 1
Let x(k) be the second derivative of -k**6/90 + k**5/12 + k**4/36 - 17*k**3/18 - 2*k**2 - 2*k - 55. What is c in x(c) = 0?
-1, 3, 4
Solve -568/9*t**3 - 64/9 - 416/9*t - 164/9*t**4 - 772/9*t**2 - 16/9*t**5 = 0.
-4, -1, -1/4
Let r(c) = c**2 + 2*c - 33. Let n be r(5). Suppose 0 + 4*v - 2/3*v**2 - n*v**4 - 20/3*v**3 = 0. What is v?
-3, -1, 0, 2/3
Let v be (-20)/32*(15 - 17) + (-3)/(-4). Factor -2/3*r + 2/3*r**4 + 2/3*r**3 - 2/3*r**v + 0.
2*r*(r - 1)*(r + 1)**2/3
Suppose 3*z - 3 = 3. Suppose 3*p - 3 = z*p. Factor 0 + 2/3*k**2 - 2/3*k**p + 0*k.
-2*k**2*(k - 1)/3
Let k be -3 + -7*(20/(-5) + 3). Let z(c) be the second derivative of -16/3*c**3 + 2*c**2 + k*c + 0 - 49/20*c**5 + 77/12*c**4. Factor z(w).
-(w - 1)*(7*w - 2)**2
Let a(c) be the first derivative of c**6/120 - 11*
|
{
"pile_set_name": "DM Mathematics"
}
|
.
15
Calculate the greatest common factor of 92 and 356.
4
What is the greatest common factor of 99 and 585?
9
Calculate the highest common factor of 135 and 5.
5
What is the highest common factor of 981 and 218?
109
Calculate the highest common factor of 24 and 1308.
12
What is the highest common factor of 35477 and 13?
13
What is the highest common factor of 655 and 131?
131
Calculate the highest common divisor of 7682 and 46.
46
What is the greatest common factor of 338 and 130?
26
Calculate the highest common factor of 29 and 145.
29
Calculate the greatest common divisor of 77 and 77.
77
What is the highest common divisor of 90 and 36?
18
Calculate the highest common factor of 22 and 198.
22
Calculate the greatest common factor of 10219 and 33.
11
Calculate the highest common divisor of 18 and 1440.
18
Calculate the highest common divisor of 1068 and 623.
89
What is the highest common factor of 252 and 140?
28
What is the greatest common divisor of 18333 and 378?
189
What is the highest common divisor of 94 and 423?
47
What is the greatest common divisor of 192 and 320?
64
Calculate the highest common divisor of 1918 and 42.
14
What is the greatest common divisor of 11 and 44?
11
Calculate the greatest common factor of 46 and 3358.
46
What is the greatest common factor of 40 and 8430?
10
Calculate the greatest common divisor of 12 and 39.
3
What is the greatest common divisor of 1866 and 6?
6
Calculate the greatest common factor of 17221 and 34.
17
What is the greatest common divisor of 5146 and 248?
62
What is the highest common factor of 12 and 1212?
12
What is the highest common factor of 138 and 174?
6
Calculate the highest common divisor of 274 and 3014.
274
Calculate the greatest common divisor of 192 and 312.
24
What is the highest common factor of 1798 and 186?
62
What is the highest common divisor of 50 and 7850?
50
What is the greatest common factor of 560 and 35?
35
What is the greatest common divisor of 35 and 3115?
35
Calculate the highest common factor of 154 and 1309.
77
What is the greatest common divisor of 846 and 188?
94
Calculate the greatest common divisor of 230 and 161.
23
Calculate the highest common factor of 20 and 5.
5
Calculate the highest common divisor of 636 and 477.
159
Calculate the highest common factor of 231 and 287.
7
Calculate the highest common divisor of 108 and 2484.
108
What is the greatest common factor of 268 and 4?
4
Calculate the greatest common divisor of 61 and 16.
1
Calculate the highest common divisor of 224 and 8232.
56
What is the greatest common divisor of 20 and 32?
4
Calculate the highest common factor of 6213 and 545.
109
Calculate the highest common factor of 1886 and 736.
46
What is the greatest common divisor of 20 and 5020?
20
Calculate the greatest common divisor of 458 and 1145.
229
What is the highest common divisor of 99 and 19767?
33
What is the greatest common divisor of 2016 and 90?
18
What is the highest common factor of 132 and 220?
44
Calculate the highest common divisor of 178 and 53.
1
What is the greatest common factor of 515 and 515?
515
Calculate the highest common factor of 868 and 28.
28
Calculate the greatest common factor of 96 and 18.
6
What is the greatest common factor of 24 and 1812?
12
What is the highest common factor of 1 and 16?
1
What is the greatest common divisor of 122 and 366?
122
What is the highest common factor of 1056 and 128?
32
What is the highest common divisor of 925 and 111?
37
Calculate the greatest common divisor of 10 and 1.
1
What is the greatest common divisor of 1944 and 36?
36
Calculate the highest common divisor of 15 and 2560.
5
Calculate the highest common factor of 59 and 10679.
59
Calculate the highest common divisor of 26 and 14443.
13
What is the highest common divisor of 60 and 48?
12
What is the highest common factor of 10 and 670?
10
Calculate the highest common factor of 50 and 18.
2
Calculate the highest common factor of 20 and 590.
10
Calculate the greatest common factor of 206 and 2.
2
Calculate the greatest common factor of 120 and 1980.
60
What is the greatest common factor of 1159 and 244?
61
What is the greatest common factor of 1107 and 41?
41
What is the greatest common divisor of 484 and 11?
11
What is the greatest common factor of 41 and 779?
41
Calculate the greatest common factor of 48 and 102.
6
What is the highest common divisor of 6 and 3?
3
What is the highest common factor of 294 and 6076?
98
Calculate the greatest common factor of 28701 and 27.
27
What is the highest common divisor of 4 and 46?
2
Calculate the highest common factor of 45 and 225.
45
Calculate the highest common divisor of 72 and 7.
1
Calculate the highest common factor of 922 and 1.
1
Calculate the highest common divisor of 3658 and 186.
62
What is the greatest common divisor of 558 and 18?
18
What is the highest common divisor of 6017 and 11?
11
What is the highest common factor of 598 and 13?
13
What is the highest common factor of 190 and 1786?
38
What is the greatest common factor of 95 and 1121?
19
Calculate the highest common divisor of 128 and 4832.
32
What is the greatest common divisor of 31 and 31?
31
What is the highest common divisor of 11 and 319?
11
Calculate the greatest common factor of 374 and 544.
34
What is the highest common divisor of 928 and 290?
58
Calculate the greatest common divisor of 264 and 119856.
264
Calculate the highest common divisor of 35333 and 89.
89
Calculate the greatest common factor of 11 and 40667.
11
Calculate the highest common factor of 42 and 12754.
14
Calculate the highest common divisor of 280 and 1288.
56
What is the highest common factor of 2329 and 187?
17
Calculate the highest common divisor of 1612 and 868.
124
Calculate the greatest common divisor of 384 and 12.
12
What is the greatest common factor of 44 and 836?
44
What is the highest common factor of 3055 and 65?
65
What is the greatest common factor of 180 and 288?
36
What is the highest common factor of 54 and 1143?
9
What is the greatest common divisor of 337 and 1?
1
What is the highest common factor of 32342 and 412?
206
Calculate the highest common divisor of 222 and 72.
6
What is the highest common factor of 869 and 33?
11
Calculate the greatest common factor of 189 and 21.
21
Calculate the highest common factor of 450 and 18.
18
What is the highest common factor of 513 and 285?
57
Calculate the highest common divisor of 63 and 7.
7
Calculate the greatest common factor of 276 and 156.
12
Calculate the greatest common divisor of 41 and 6109.
41
Calculate the greatest common factor of 575 and 184.
23
What is the highest common divisor of 4 and 25?
1
What is the highest common factor of 716 and 8?
4
Calculate the greatest common factor of 2548 and 78.
26
Calculate the highest common factor of 623 and 445.
89
What is the highest common factor of 240 and 372?
12
What is the greatest common factor of 77 and 143?
11
What is the highest common factor of 20 and 1280?
20
What is the highest common factor of 615 and 15?
15
Calculate the greatest common factor of 18 and 846.
18
Calculate the greatest common factor of 38777 and 17.
17
What is the greatest common factor of 608 and 48?
16
Calculate the highest common factor of 4031 and 29.
29
What is the greatest common factor of 76 and 4142?
38
Calculate the highest common factor of 24 and 5892.
12
Calculate the highest common factor of 175 and 56.
7
Calculate the greatest common divisor of 217 and 7781.
31
What is the greatest common factor of 2960 and 1924?
148
Calculate the greatest common factor of 28 and 3122.
14
Calculate the highest common divisor of 14 and 1239.
7
What is the greatest common factor of 2765 and 105?
35
What is the highest common factor of 5679 and 144?
9
Calculate the highest common divisor of 40 and 2440.
40
What is the greatest common divisor of 234 and 18?
18
Calculate the highest common divisor of 8410 and 10.
10
What is the greatest common factor of 88 and 66?
22
Calculate the highest common factor of 267
|
{
"pile_set_name": "DM Mathematics"
}
|
.06, -0.6, -3?
-2
Which is the second smallest value? (a) -6 (b) -6/5 (c) -4 (d) 4 (e) 3
c
What is the smallest value in 0, -303, -3/13?
-303
Which is the third smallest value? (a) -1.6 (b) 4 (c) -4/5
b
Which is the biggest value? (a) 3/7 (b) 0.4 (c) -0.056
a
What is the fifth smallest value in 0.4, -3/466, -4, -0.2, -0.4?
0.4
Which is the second biggest value? (a) -10 (b) -2/23 (c) -1/6 (d) 17 (e) 4
e
What is the second smallest value in -4/9, 0.6, -5/7, -1?
-5/7
What is the third smallest value in 2, -1/9, 0.4, 5/6, -0.3?
0.4
What is the second smallest value in 2/39, 4, 0.5, 1?
0.5
What is the biggest value in 3, 1, 0, 4/3, 4?
4
What is the second biggest value in 1, 2/565, -2, -5?
2/565
What is the third smallest value in -0.4, -15, 8/7?
8/7
What is the smallest value in 7, 10, -0.2?
-0.2
Which is the smallest value? (a) 0.1 (b) 29 (c) -0.22
c
What is the fifth smallest value in -3/4, -1, -0.2, 266, -26?
266
Which is the fifth smallest value? (a) 2/5 (b) 1/5 (c) 46 (d) -2 (e) -4
c
What is the smallest value in 18/19, 0, 0.037?
0
Which is the smallest value? (a) 0 (b) -1 (c) -3/2 (d) -30
d
What is the third biggest value in -15, -2/17, -4, 0.5?
-4
What is the biggest value in 11, -4/3, 5/4, 1/10, -2?
11
What is the smallest value in 1, 36, 3, 0.2, 2/7?
0.2
What is the biggest value in -5, -2, -1/9, -3?
-1/9
What is the smallest value in 0, 2, 4?
0
Which is the second smallest value? (a) -2/27 (b) 8 (c) 0.03
c
What is the biggest value in 3, -0.2, -971, -0.4?
3
What is the third smallest value in -178, 0.1, 2/3?
2/3
What is the third smallest value in -1121, -2/11, 5, 2?
2
What is the fifth biggest value in 0.4, -5, -2, -0.1, -1/5?
-5
What is the biggest value in 0.5, 5/6, 1, -5, -0.2?
1
What is the fourth smallest value in 0.09, 3, 2/11, -3/11?
3
Which is the biggest value? (a) -1/2 (b) 0.4 (c) 32
c
Which is the third biggest value? (a) -2/5 (b) -1 (c) -0.28
b
What is the fifth biggest value in 0.4, -0.2, 4, -2/5, -7?
-7
What is the fourth smallest value in 3, -1/8, 1/39, 0.11?
3
Which is the fifth smallest value? (a) 2 (b) -0.4 (c) -2 (d) 68 (e) 3
d
Which is the fourth smallest value? (a) -4 (b) -0.1 (c) -0.3 (d) 3 (e) 0.02
e
Which is the third biggest value? (a) -2 (b) 5 (c) -32/63 (d) -0.4
c
Which is the second biggest value? (a) 0.3 (b) -5/2 (c) -1 (d) -0.161 (e) 2/13
e
What is the biggest value in -0.1, 47, -3?
47
What is the third biggest value in -5, -0.37, 0.09?
-5
What is the smallest value in -3, 3.45, 2?
-3
Which is the second biggest value? (a) -0.2 (b) -4 (c) -1.3
c
Which is the second smallest value? (a) 0.5 (b) 1 (c) 3 (d) 2
b
Which is the second smallest value? (a) -3 (b) 1/8 (c) -0.4 (d) -128
a
Which is the smallest value? (a) 2/11 (b) -0.27 (c) 0.06
b
What is the smallest value in -24, -0.2, -0.5?
-24
Which is the biggest value? (a) -2 (b) -1/5 (c) -6
b
Which is the third biggest value? (a) -9/2 (b) -0.5 (c) -26
c
Which is the third biggest value? (a) 0.4 (b) 0.1 (c) -38 (d) 4 (e) -2
b
What is the second smallest value in 118, -5, 1?
1
Which is the fifth biggest value? (a) -5 (b) 6 (c) -3 (d) 2/5 (e) -2/5
a
What is the third smallest value in 42, 0.06, -2, 0?
0.06
What is the fourth biggest value in 63, 2/15, 0.4, -5?
-5
What is the second smallest value in -2667, -1/5, 3/5, 0.4?
-1/5
What is the second biggest value in 4, 7, -2, 51, 0.1?
7
What is the smallest value in -1, -836, -0.5, 0.2, -5?
-836
What is the smallest value in 1/459, 4, 2/11?
1/459
Which is the biggest value? (a) 2 (b) 10 (c) 0.2
b
What is the second biggest value in 4/3, -5, 41, -7?
4/3
What is the smallest value in 3, -0.24, 0, 62?
-0.24
Which is the fourth smallest value? (a) -3/8 (b) 2/5 (c) -2/15 (d) 0
b
Which is the second smallest value? (a) 1/4 (b) 13 (c) -25/3 (d) -4 (e) -1/2
d
What is the fourth smallest value in 2/7, 1.04, -1/3, 2?
2
What is the third biggest value in -3/136, -0.2, -4?
-4
What is the second smallest value in 4, -6/7, 1.8?
1.8
Which is the third smallest value? (a) -3 (b) 0.3 (c) 487 (d) -5
b
Which is the third biggest value? (a) 2 (b) -0.2 (c) -1/3 (d) 1
b
Which is the fifth smallest value? (a) -46 (b) 6/7 (c) -0.2 (d) -0.1 (e) -0.4
b
What is the third smallest value in -9.4, 4, 1.2?
4
Which is the second smallest value? (a) 2 (b) -0.22 (c) 1
c
Which is
|
{
"pile_set_name": "DM Mathematics"
}
|
00*m/7.
4*m*(m - 22)*(m + 5)**2/7
Find f such that -2*f**4 + 19*f**3 - 22*f**2 - 16*f = 0.
-1/2, 0, 2, 8
Determine i, given that 27*i**5 - 2988*i**4 - 1014*i**3 + 1668*i**2 - 333*i = 0.
-1, 0, 1/3, 111
Factor l**4 + 168*l**3 + 486*l**2 - 1480*l + 825.
(l - 1)**2*(l + 5)*(l + 165)
What is v in -3*v**3 + 3015*v**2 + 6039*v + 3021 = 0?
-1, 1007
Determine a, given that 25*a**5/7 + 3365*a**4/7 - 8174*a**3/7 + 6290*a**2/7 - 1643*a/7 + 137/7 = 0.
-137, 1/5, 1
Suppose i**2/5 + 18*i/5 - 19/5 = 0. Calculate i.
-19, 1
Determine g, given that 2*g**3/11 - 802*g**2/11 + 79998*g/11 + 80802/11 = 0.
-1, 201
What is z in z**4 + 3*z**3 + 2*z**2 = 0?
-2, -1, 0
Factor 2*w**4/7 + 66*w**3/7 - 4104*w**2/7 + 56160*w/7 - 238464/7.
2*(w - 12)**3*(w + 69)/7
Factor 2*s**2/9 + 106*s/9 + 88.
2*(s + 9)*(s + 44)/9
Suppose v**3/4 + 593*v**2/4 - 2385*v/4 + 1791/4 = 0. What is v?
-597, 1, 3
Factor 16*g**2/7 - 86*g/7 + 30/7.
2*(g - 5)*(8*g - 3)/7
Factor -2*o**5 + 29*o**4 - 50*o**3.
-o**3*(o - 2)*(2*o - 25)
Let -z**2/4 - 9697*z/2 - 94031809/4 = 0. Calculate z.
-9697
Determine c so that -3*c**4/8 - 1647*c**3/8 - 113427*c**2/4 - 53841*c/2 + 168921 = 0.
-274, -3, 2
Suppose 5*k**5 - 10*k**4 - 130*k**3 - 280*k**2 - 235*k - 70 = 0. What is k?
-2, -1, 7
Let x**2 + 290*x + 289 = 0. Calculate x.
-289, -1
Factor 2*s**4 + 2*s**3 - 2*s**2 - 2*s.
2*s*(s - 1)*(s + 1)**2
Factor 3*v**2 + 107*v + 70.
(v + 35)*(3*v + 2)
Determine a, given that -4*a**5 - 60*a**4 - 116*a**3 + 748*a**2 - 888*a + 320 = 0.
-10, -8, 1
Let k**4/3 - 62*k**3/9 + 103*k**2/9 + 56*k/3 = 0. What is k?
-1, 0, 3, 56/3
Factor 35*k**3/6 - 115*k**2/3 + 35*k/2 + 15.
5*(k - 6)*(k - 1)*(7*k + 3)/6
Factor 3*j**3 - 42*j**2 + 72*j.
3*j*(j - 12)*(j - 2)
Factor w**4/5 - 2*w**3/5 - 7*w**2/5 - 4*w/5.
w*(w - 4)*(w + 1)**2/5
Factor -5*f**2 + 3870*f - 748845.
-5*(f - 387)**2
Factor 4*n**3 - 1496*n**2 + 139876*n.
4*n*(n - 187)**2
Let -t**4 - 42*t**3 - 508*t**2 - 1254*t + 1805 = 0. What is t?
-19, -5, 1
Solve -2*v**2/7 + 372*v/7 - 17298/7 = 0 for v.
93
Factor -20*u**3 + 528*u**2 - 1588*u + 552.
-4*(u - 23)*(u - 3)*(5*u - 2)
Factor b**3/3 - 1897*b**2/3 + 632*b.
b*(b - 1896)*(b - 1)/3
Find i such that -2*i**2/9 - 38*i/3 - 112/9 = 0.
-56, -1
Find l such that 2*l**2/3 + 14*l/3 + 20/3 = 0.
-5, -2
Factor -t**3/4 + 69*t**2/4 + 141*t/4 + 71/4.
-(t - 71)*(t + 1)**2/4
Find b, given that -b**4 + 29*b**3 - 80*b**2 + 52*b = 0.
0, 1, 2, 26
Factor 3*w**4 - 78*w**3 + 747*w**2 - 3120*w + 4800.
3*(w - 8)**2*(w - 5)**2
What is m in 3*m**5/2 - 9*m**4/2 + 3*m**3 = 0?
0, 1, 2
Solve 6*m**5 + 122*m**4 - 428*m**3 - 1428*m**2 - 1114*m - 230 = 0 for m.
-23, -1, -1/3, 5
Let 2*i**2 + 70*i - 72 = 0. Calculate i.
-36, 1
What is b in 100*b**4 + 180*b**3 - 84*b**2 - 196*b = 0?
-7/5, 0, 1
Factor -5*p**4 + 55*p**3 - 75*p**2 - 335*p - 200.
-5*(p - 8)*(p - 5)*(p + 1)**2
What is j in -2187*j**5 + 2096604*j**4 - 503184555*j**3 + 334835394*j**2 - 74361876*j + 5506584 = 0?
2/9, 479
Suppose 16*b**4 + 116*b**3 + 28*b**2 - 576*b - 144 = 0. Calculate b.
-6, -3, -1/4, 2
Factor -3*i**2 - 417*i - 414.
-3*(i + 1)*(i + 138)
Solve -4*o**5/7 + 4*o**4/7 + 40*o**3/7 + 32*o**2/7 = 0.
-2, -1, 0, 4
Solve j**3/2 - 4899*j**2/2 + 6002499*j/2 - 5997601/2 = 0.
1, 2449
Factor 2*k**4/3 - 10*k**3/3 + 4*k**2/3 + 16*k/3.
2*k*(k - 4)*(k - 2)*(k + 1)/3
Factor v**5 + 14*v**4 - 206*v**3 - 692*v**2 - 715*v - 242.
(v - 11)*(v + 1)**3*(v + 22)
Find g, given that g**5 - 12*g**4 + 33*g**3 + 34*g**2 - 84*g - 72 = 0.
-1, 2, 6
Factor 2*n**2/5 + 274*n/5.
2*n*(n + 137)/5
Factor -4*u**4 - 28*u**3 - 20*u**2 + 28*u + 24.
-4*(u - 1)*(u + 1)**2*(u + 6)
Let 26460*t**3 + 29995*t**2/2 + 2090*t - 10 = 0. What is t?
-2/7, 1/216
Suppose -2*h**3 + 92*h**2 - 960*h - 2304 = 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
1
Solve -2*p - 3*z = -6, -3*p + 8*p - 3*z = -6 for p.
0
Solve q = -x + 4, -1 + 0 = q for x.
5
Solve 15 = -u - 6*b + 2*b, 9 = -u - 2*b for u.
-3
Solve 2*k = 5*k - y + 19, 5*k = -y - 21 for k.
-5
Solve 4*r - 3*b - 7 = -3, -r = -4*b - 14 for r.
-2
Solve 15*q = -4*d + 20*q - 14, 4*q = -4*d + 4 for d.
-1
Solve -27*n + 24*n + 3*d - 6 = 0, -3*d = -5*n - 8 for n.
-1
Solve 4*b - 4*k + 4 = 0, 0*k - 4 = -4*b - 4*k for b.
0
Solve -2*s - 4 = 3*o, -3*s + 17 - 9 = o for o.
-4
Solve -1 + 12 = 4*q - g, 2*q - 3*g - 3 = 0 for q.
3
Solve -f - 14 = -2*f - 5*p, -24 = -5*f - 2*p for f.
4
Solve 2*t + 1 = -k, 2*k + 7 = -t + 2 for k.
-3
Solve -4*a = -4*q, -5*q - 2*a + 0*a + 35 = 0 for q.
5
Solve 2*l - 8 = 4*g - 30, 3*g + 4*l = 11 for g.
5
Solve -3*i + 13 = -4*y + 5*y, 2*i - 12 = -4*y for i.
4
Solve -40 = -4*a + 5*h, 4*a - 3*h = h + 36 for a.
5
Solve z - 8 = -v + 4*z, -2*v = 4*z + 14 for v.
-1
Solve 4*b + 4 = 3*b, 3*b + 9 = 3*t for t.
-1
Solve -5*x + 5*y - 2 = -x, 0 = 4*x - 3*y - 2 for x.
2
Solve 20 = 7*z - 9*z - 4*d, -4*z = -2*d for z.
-2
Solve -3*o - d = -9, 0 = -o + 5*d + 2 + 1 for o.
3
Solve -16*f = -17*f, -5*z - 3*f = -25 for z.
5
Solve 4*y - 5*y - 1 = 4*w, -2 = 2*y - 5*w for y.
-1
Solve -4*m - 22*s + 19*s = 32, -m - 3*s = 17 for m.
-5
Solve 2 = -g - 2*p, 4*g - 5*p + 10 = -g for g.
-2
Solve -4*n = -y - 11, 24 = -13*y + 17*y + n for y.
5
Solve 5*i - 4*v + 8 = 0, 3*v = -i - 3*i - 25 for i.
-4
Solve -5*w - 6*l + 23 = -2*l, -3*w + l + 7 = 0 for w.
3
Solve -3*j - 18 = 3*y, 11*j - y = 6*j - 18 for j.
-4
Solve 3*q + 5*z - 1 - 11 = 0, q - 4 = 2*z for q.
4
Solve 2*k + 1 + 1 = -2*l, 4*l = -5*k - 8 for k.
-4
Solve 23*f - 25*f - 7 = -3*k, -5*f - 4*k - 29 = 0 for f.
-5
Solve 4*c - 3*q + 16 + 0 = 0, -q + 8 = -2*c for c.
-4
Solve 4*h = 4*g - 16, -6*h + 11*h + 20 = -3*g for h.
-4
Solve -2 = f, 3*f + 7 = -4*m - 7 for m.
-2
Solve 4*b - 3*w = -10, -b + 0*w = w - 1 for b.
-1
Solve 3*q = i + 2, -5*i + i = -2*q + 8 for q.
0
Solve 2*x - z = 0, 0*x = 3*x + 5*z - 13 for x.
1
Solve -5*t = -5*x + 30, t + 8 + 4 = 3*x for t.
-3
Solve -2*k = -3*v - 0*v + 20, 0 = -5*v - k + 16 for v.
4
Solve 22 = -5*h - w, -5*h - 2 = 4*w + 26 for h.
-4
Solve -41*l - 5*v + 19 = -40*l, -16 = -4*v for l.
-1
Solve -2*b = 2*j - 10, -4*j + 22 - 2 = 0 for b.
0
Solve 4*l + 16 = 4*t, t - 1 + 3 = -5*l for l.
-1
Solve 3*g + 9 = -4*n, -5*n = -2*n for g.
-3
Solve o + b + 1 = 0, 18*o + 4*b = 13*o - 5 for o.
-1
Solve l = z + 11 - 2, 3*l = -3*z - 3 for z.
-5
Solve -4*g + 32 = 5*l, -5*l = -2*l - 4*g - 32 for l.
8
Solve -4*a - 20*w - 3 = -19*w, 5*w = 5*a + 35 for a.
-2
Solve 5*f + 12 = 4*d, 6*d = -4*f + 2*d - 24 for f.
-4
Solve -3*j + 25 = 2*j - 3*t, 5*t = 0 for j.
5
Solve -5*v - v + 3*b - 15 = 0, 0 = -v - 4*b + 11 for v.
-1
Solve 3*n = 5*z - 32 + 30, 2*n + 3*z - 5 = 0 for n.
1
Solve 6 = 2*r - p, -5*p + 14 = 2*r - 10*p for r.
2
Solve -2*i - 3 = 2*o + 5, 0 = -5*o + 5*i + 10 for o.
-1
Solve -3*i + 2 - 1 = -j, i - 2 = 0 for j.
5
Solve 5*i = -4*r + 12, 0 = 2*r - 4*r - 4*i + 12 for r.
-2
Solve j - 1 = -18*r + 15*r, 0 = 2*j + 2*r - 6 for j.
4
Solve -5*t = 5*f + 15, -10*t = -f - 9*t + 7 for f.
2
Solve -4*i = u - 8 - 9, 0 = 3*u + i - 7 for u.
1
Solve -2*a = -4*r + 26, -2*r + r - 3*a = 11 for r.
4
Solve s - 5 = -3*c, -2*s = 5*c - 6*s + 3 for c.
1
Solve a - 4*q = 3, -21*q + 22*q + 3 = -2*a for a.
-1
Solve -11 = -2*d - k, 100*k + 2 = d + 104*k for d.
6
Solve -2*z - 6 = -4*o, -16 = -5*o + 3*z - 8 for o.
1
Solve 4*k + 13 = -v, -2*k + 31 = -6*k + 5*v for k.
-4
Solve 4*b = -4*o, b - 5*o + 12 = 2*b for b.
-3
Solve 4*u - 12 = -2*b, -7*b = 5*u - 9*b - 24 for u.
4
|
{
"pile_set_name": "DM Mathematics"
}
|
) be the second derivative of -1/12*d**4 + 0 + 0*d**3 + 2*d - 1/30*d**6 + 0*d**2 + w*d**5. What is the third derivative of x(u) wrt u?
-24*u
Let u be (1/(-2))/((-1)/4). Let o(j) be the third derivative of -1/6*j**3 + 0 + 0*j**5 - 1/120*j**6 + 0*j + u*j**2 + 0*j**4. Differentiate o(i) wrt i.
-3*i**2
Let m(p) = -p**3 + 1. Let b(k) = -18*k**3 - 14*k - 4. Let i(l) = b(l) + 4*m(l). What is the second derivative of i(r) wrt r?
-132*r
Suppose 2*u + 5 = 4*j - 13, 5*j - 4*u - 30 = 0. What is the third derivative of j*x**5 - x + 3*x**2 - 4*x**2 + x wrt x?
120*x**2
Let i = -4 + -2. Let o = i + 8. What is the third derivative of 4*j**2 + 7 - 7 - 3*j**o - j**3 wrt j?
-6
Let r(w) be the third derivative of -7*w**6/120 - w**4/4 - w**2. What is the second derivative of r(d) wrt d?
-42*d
Let r(l) be the first derivative of -7*l**2 + 39*l - 20. Differentiate r(k) with respect to k.
-14
Let s be 15/2 - 3/6. Let n = s - 4. Find the third derivative of -j**3 - n*j**2 + j**2 + j**2 wrt j.
-6
Let b(q) be the first derivative of 9*q**5/5 - 10*q + 6. What is the first derivative of b(j) wrt j?
36*j**3
Let y(d) be the third derivative of d**7/70 - 7*d**3/3 - 4*d**2. What is the first derivative of y(l) wrt l?
12*l**3
Let s(c) be the first derivative of 13*c**5/5 - 2*c**2 - 25. Find the second derivative of s(a) wrt a.
156*a**2
Let r be (12/9)/(6/9). What is the third derivative of 3*j**r - 4*j**2 - 2*j**2 - j**3 + 3*j**3 wrt j?
12
Let i be 52/14 - (-4)/14. What is the first derivative of i - u**3 - 2*u**3 + 0*u**3 wrt u?
-9*u**2
Suppose -2*t + 0 = -10. What is the first derivative of -5 + t*k**4 + 7*k**4 - 6*k**4 wrt k?
24*k**3
Let a(p) = -2*p**4 + p**2 + 5. Let l(v) = -v**4 + 0 + 3*v + 1 - 3*v. Let g(h) = -a(h) + 5*l(h). What is the third derivative of g(m) wrt m?
-72*m
Find the second derivative of -5*p - 46*p**3 + 10*p**5 + 46*p**3 + p wrt p.
200*p**3
Let p(v) = 5*v**2 + 3*v + 3. Let q(x) = -x**2 - 1. Let t(g) = -4*p(g) - 12*q(g). Find the second derivative of t(a) wrt a.
-16
Let y = -2 + 6. What is the derivative of -1 + 0 + 3*g**4 - y*g**4 + 5*g**4 wrt g?
16*g**3
Let b(r) be the second derivative of 53*r**5/20 - r**4/6 - 6*r**2 - 3*r + 6. Find the third derivative of b(w) wrt w.
318
Let c(m) = -4*m - 3 + 7 - m**2 + 2. Let w be c(-5). What is the derivative of 5*b + w - 5*b + 2*b**3 wrt b?
6*b**2
Let d(c) = 5*c**2 + 2*c + 1. Let s = -5 - -4. Let u be d(s). What is the first derivative of u + 0*f + 3*f - 3 wrt f?
3
Let w(b) = -b**3 + b**2 + 15. Let q be w(0). Suppose -5*m = -0*m - q. Find the second derivative of 5*h - 2*h - 3*h - h + m*h**5 wrt h.
60*h**3
Let h(u) be the second derivative of -u**5/10 - 2*u**3/3 - u. Find the second derivative of h(m) wrt m.
-12*m
Let i(q) be the first derivative of 14*q**5/5 - 3*q**2 + 8. Find the second derivative of i(z) wrt z.
168*z**2
Let u = 6 + 3. Suppose 19 = 2*q + q + b, 5*q - 4*b - u = 0. Differentiate 3 - q + 1 - 2*w**3 wrt w.
-6*w**2
Let u be (-1 + -1)/(5 - 7). Differentiate -u + 4 + 0*a + a + a with respect to a.
2
Let y(k) be the first derivative of 4*k**2 - k - 3. Differentiate y(p) with respect to p.
8
Let d(m) = 4*m - 2. Let r(g) = 4*g - 2. Let j(k) = 3*d(k) - 4*r(k). What is the derivative of j(y) wrt y?
-4
Let g = -6 + 8. Suppose c - 4 = -g. Find the third derivative of 0*x**c - x**3 + 0*x**2 + x**2 + 0*x**2 wrt x.
-6
Let o = -8 - -14. Let b(r) = 1 - 3 - 4*r**3 - 4*r**3. Let d(c) = 7*c**3 + 2. Let x(i) = o*d(i) + 5*b(i). Find the first derivative of x(n) wrt n.
6*n**2
Suppose -3*d = -o, 2*d + 0*d = -4*o + 14. Let i(h) be the first derivative of -3/4*h**4 + 3*h + 0*h**o + 0*h**2 - 4. Differentiate i(j) with respect to j.
-9*j**2
Let l(s) be the second derivative of -s**5/10 + s**2/2 - 6*s. Differentiate l(k) wrt k.
-6*k**2
Let v(l) be the third derivative of l**7/210 + l**6/72 + 2*l**3/3 + 4*l**2. Let q(y) be the first derivative of v(y). Find the third derivative of q(n) wrt n.
24
Let l(r) = r**4 + r**2 - 5*r - 5. Suppose -4*o - 9 - 3 = 0. Let j(g) = 3*g + 3. Let t(k) = o*l(k) - 5*j(k). Find the third derivative of t(m) wrt m.
-72*m
Let n(b) = b + 7. Let y be n(-7). Let k(x) be the first derivative of -2*x + 0*x**4 - 2 + y*x**2 + 2/5*x**5 + 0*x**3. Differentiate k(c) wrt c.
8*c**3
Let d(r) = -r**2 - r - 1. Let j(o) = -10*o**2 + 15*o - 2. Let n(t) = -2*d(t) + j(t). Find the second derivative of n(q) wrt q.
-16
Find the third derivative of -3*u**2 + 5*u**2 - u**2 - u**4 wrt
|
{
"pile_set_name": "DM Mathematics"
}
|
qrt(72) + (sqrt(72) - (sqrt(72) + -1 + sqrt(72))*1) - sqrt(72))) + 2 - ((sqrt(72) - (5 + sqrt(72) + 0)) + 5))*-6 + -1)*1)**2.
1008*sqrt(2) + 10417
Simplify 5*((sqrt(128) + sqrt(128)*-2)/sqrt(4) - (2 + sqrt(128)) - (sqrt(48)/sqrt(2)*-1)/(-3*sqrt(300)))**2.
724*sqrt(2)/3 + 66422/45
Simplify (sqrt(684) - (sqrt(684) + 1 + sqrt(684))*-6) + -2 + (sqrt(684) + 1 + sqrt(684))**2 + 3 + (-1 + -1 + sqrt(684) + sqrt(684) + sqrt(684))**2*1 + -4.
30*sqrt(19) + 8900
Simplify (-5*sqrt(117) + ((sqrt(65) - 3*sqrt(65)) + sqrt(65))/sqrt(5) - (-5 + -1 + sqrt(117) + sqrt(117))*-3)*-5.
-10*sqrt(13) + 90
Simplify (((1*sqrt(252)/sqrt(252))/(sqrt(84)/(sqrt(7)*2) + sqrt(12) + sqrt(24)/sqrt(32) + sqrt(12)) + 5)*-2)**2.
80*sqrt(3)/33 + 36316/363
Simplify (sqrt(210)/(2*sqrt(360)))/(3*5*sqrt(448))*1.
sqrt(3)/1440
Simplify (1*(sqrt(77) - -2*sqrt(77)*-6)*3)/(((sqrt(420)*-2)/sqrt(12))/(sqrt(20)*2 - sqrt(5))).
99*sqrt(11)/2
Simplify (-4*(1 + sqrt(80) + sqrt(80) + (sqrt(5) + -2)*1))**2 - 6*((sqrt(605) + -5)**2 + -2).
372*sqrt(5) + 2728
Simplify -1*(2 + (sqrt(180) + (sqrt(180)*-1)**2 + -1 - (0 + sqrt(180))*3) + ((6*(sqrt(180) + 1) + 0)*1)**2)*5.
-33485 - 2100*sqrt(5)
Simplify (-1*3*sqrt(7) + sqrt(1512)/sqrt(6) + (sqrt(77) + (sqrt(77) - (sqrt(77) - -1*sqrt(77)*5)))/(sqrt(1584) + sqrt(1584)*2))**2.
4732/81
Simplify (-1 + (3*(sqrt(1008) - -1*sqrt(1008)))/(sqrt(27)/(sqrt(3) - (2*sqrt(300) + sqrt(3) - sqrt(3)))))**2.
912*sqrt(7) + 1455553
Simplify (5*-4*(0 + (-1 + sqrt(304))*2 + -5 + 5))**2.
-12800*sqrt(19) + 488000
Simplify (((-2*sqrt(2560))/sqrt(4))/((-3*sqrt(20)*-2)/sqrt(4)))**2*-5.
-640/9
Simplify -4 + ((sqrt(64)/(sqrt(36) - sqrt(4)) + -3*1*sqrt(16))*-1)/(((sqrt(24) + sqrt(384))*-5)/(2*sqrt(432))).
-4 - 12*sqrt(2)/5
Simplify -1 + 2 + 2 + sqrt(396) + ((-1*sqrt(77)*6 - sqrt(77) - sqrt(77))/sqrt(7) - ((-2*sqrt(704) + -3 - sqrt(704) - sqrt(704)) + sqrt(704))**2).
-6342 - 146*sqrt(11)
Simplify ((-2*sqrt(352)*1)/(sqrt(648)*-2) - 1*(4 + 2*sqrt(1584)))**2.
1712*sqrt(11)/9 + 505052/81
Simplify ((0 + (sqrt(539) - (0 + sqrt(539))) - (sqrt(539) - (sqrt(539) + -3)*-3)) + (sqrt(539) - (sqrt(539) + 1 + sqrt(539) + 1) - sqrt(539)) + 0 + 4)**2.
-924*sqrt(11) + 19525
Simplify (2*sqrt(99)*-2 - (2*sqrt(99) - sqrt(99))*-3)/((sqrt(81)*-1 + sqrt(1296)*-2)*-5).
-sqrt(11)/135
Simplify (-3*(3 + sqrt(1539)*2 + sqrt(1539) - -2*sqrt(1539)*3 - -6*((1*sqrt(1539) - sqrt(1539)) + 3 - -1*sqrt(1539)*-1)))**2.
10206*sqrt(19) + 128628
Simplify (-4 + 6*(4 + (sqrt(13) - sqrt(13)*1)) + -2 + 3 + (sqrt(91) + (sqrt(91) - (2*sqrt(91) - sqrt(91))))/sqrt(7) + (sqrt(1053) + 0 - sqrt(13)))**2.
378*sqrt(13) + 1494
Simplify 3*(sqrt(156) + 1*(sqrt(156) - sqrt(156)*-3) + sqrt(156) + 4*(sqrt(156) + (sqrt(156)*1 - sqrt(156)) + sqrt(156)))/(3*sqrt(768)*2*-3).
-7*sqrt(13)/24
Simplify ((sqrt(612)*2*4 - (sqrt(612) - -5*(sqrt(612) + -2)))**2 + 4)*3.
720*sqrt(17) + 7656
Simplify (-6*((sqrt(84)*-1 - sqrt(84)) + sqrt(84)*4))/((sqrt(24) + -2*sqrt(24)*6)/((sqrt(64)/sqrt(4))/sqrt(2) + sqrt(8))).
48*sqrt(7)/11
Simplify ((-4*-5*sqrt(3168)*4)/(1*-4*sqrt(275)*2))**2.
1152
Simplify 4 + (3*((-1 + sqrt(300))*-2)**2 - (sqrt(300) + 4 + 1 + 1)**2).
-360*sqrt(3) + 3280
Simplify 1*(1*(sqrt(304) + -1*sqrt(304) + sqrt(304) + sqrt(19) + 2 + sqrt(19) + 1 - 2*(0 + (sqrt(19) - 1*sqrt(19) - sqrt(19)) + -3))*-6)**2.
5184*sqrt(19) + 46692
Simplify (6*sqrt(77)*-5 + -5*5*sqrt(77))/((sqrt(7) - (sqrt(49)*-5)/sqrt(7)) + sqrt(84)/sqrt(12)*4).
-11*sqrt(11)/2
Simplify (((1 + sqrt(405) + 4)*5 + -5)*1*3*-1)**2.
16200*sqrt(5) + 94725
Simplify (-3*(sqrt(3) + sqrt(192)*1 - sqrt(3) - (sqrt(3) - (sqrt(18)/sqrt(6) + -3 + sqrt(3)))) + -2 + -4)**2.
-162*sqrt(3) + 2196
Simplify (-2*(sqrt(243) + 1*sqrt(243) - sqrt(243)))**2 + (-3*(sqrt(243) + 3))**2 + ((-1 + sqrt(243) + -4 + (sqrt(243) + 0)*-3)*5)**2.
4986*sqrt(3) + 28165
Simplify (((sqrt(2048) - (sqrt(2048) - -1*(sqrt(2048) + -1))) + sqrt(2048) + -4 + 1 + 1)*-1 + 3)**2.
16
Simplify (-2*(1 + -5 + -3*sqrt(700)*4))**2*2.
7680*sqrt(7) + 806528
Simplify ((sqrt(726) + -3*sqrt(726) + sqrt(726) - sqrt(726))*3 - sqrt(726)*-3*4)/((-1*sqrt(1800))/(sqrt(9) - sqrt(324))).
33*sqrt(3)
Simplify (0 + (2 + sqrt(208)*1 + (sqrt(208) + 0)*6 - (6*(sqrt(208) - -2*sqrt(208)) - (sqrt(208) + sqrt(208) + 2)*-2))**2)*-4.
-187216 - 960*sqrt(13)
Simplify (-3 + ((-1 + -3*sqrt(1008) + sqrt(1008) + sqrt(1008))*1 - ((sqrt(1008) - (3 + sqrt(1008))*-4) + 3))*5)**2.
59760*sqrt(7) + 914089
Simplify ((sqrt(245) - (sqrt(245)*-
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*j + 8. Let f = j + -1. Suppose 2*v + 1 - 7 = 0. Calculate the lowest common multiple of f and v.
6
Let o = -7 + 12. What is the lowest common multiple of 12 + 1/(4/(-16)) and o?
40
Let h = 2575/13 - 198. Let p = 47493/8 + -5926. Find the common denominator of h and p.
104
Let k(t) = 7*t - 6. Let z = 15 - 3. What is the least common multiple of z and k(4)?
132
Calculate the common denominator of ((-7)/(-6))/(-1)*-9 and -3/16.
16
Find the common denominator of (-108)/(-15) - (-5)/(-25) and 17/8.
8
Suppose 6 = 2*k + k. Suppose -k*h + 3*h = 6. Let c = -405 - -416. Calculate the lowest common multiple of c and h.
66
Let z(f) = -7*f + 2. Let i be 28/(-21)*(-1 + -59). Calculate the lowest common multiple of ((-2)/5)/((-4)/i) and z(-2).
16
Let t = -2 - -9. Let q(x) = -x**2 + 8*x - 9. Let k be q(t). Find the common denominator of (-4)/k - 43/(-9) and -58/5.
45
Let d(h) = h**3 + 5*h**2 - 10*h - 14. Calculate the smallest common multiple of 22 and d(-6).
110
Let s(j) = 2*j**3 - j**2 + 2*j - 2. Let f be s(2). What is the smallest common multiple of (-16)/6*(-30)/4 and (-1)/(27/f + -2)?
140
Let j(v) be the third derivative of v**4/24 - 3*v**2. Let o be j(6). Suppose 0*t + 3*t - o = 0. Calculate the smallest common multiple of 16 and t.
16
What is the common denominator of 3*((-114)/(-26) + -3) and 9/10?
130
What is the common denominator of 3 + (-2)/((-28)/(-71)) and 89/20?
140
Suppose 0*d - 55 = -5*d. Let c = -8 + d. Calculate the lowest common multiple of 5 and c.
15
Let u = -12281/15 - -4865/6. Find the common denominator of u and 1 - (-21)/2 - -1.
10
Let v be 2*1*4/(-4). Suppose -32 = -2*z - 2*z. What is the lowest common multiple of v*(2 + -1)*-2 and z?
8
Let w = -4 - -12. Let i = w - 2. What is the least common multiple of 8 and i?
24
Let f = 24463818 + -1614661309/66. Let y = f + 2230/3. Find the common denominator of -17/22 and y.
22
Suppose 0 = 3*f - 2*f + 1. Let r be f + 2 + -2 + -16. Let s = -11 - r. Calculate the least common multiple of 20 and s.
60
Let l = 4 - 1. Suppose -7*r = -l*r - 40. Calculate the smallest common multiple of 22 and r.
110
Let l = 29 - 44. Let n = 9 + l. What is the lowest common multiple of 5 and (2/n)/(1/(-6))?
10
Let x be 1 + -1 + (-4 - -2). Find the common denominator of x/(-36)*-103 + -2 and 6/15 + (-98)/(-40).
180
Let g(v) = v + 3 + v**3 - 2*v + 3*v**2 + 3*v**3. Let a be g(3). Find the common denominator of a/(-8)*6/(-20) and -27/4.
16
Let g(m) = -3*m - 1. Let w be g(-1). Suppose -w = -3*z + 4. Calculate the lowest common multiple of z and (2 - 3) + 1*3.
2
Suppose -2*l - 8 = -5*g, l - 10 = -3*g - 3. Let s be (-11727 + g)*(-1)/6. Let q = s + -1930. Calculate the common denominator of q and -22/7.
42
Let w(y) = -3*y. Let l(p) = -1. Let q(z) = 4*l(z) - w(z). What is the smallest common multiple of 18 and q(8)?
180
Suppose -2*d + 4*d - 20 = 0. Suppose 4*v - 2 - 6 = 0. Calculate the lowest common multiple of d and v.
10
Calculate the common denominator of 43/3 and (9*3)/(-20 - -13).
21
Let p be ((-15)/(-2))/(18/24). Suppose -8 = -f + p. What is the least common multiple of (-2 - 1) + (16 - 1) and f?
36
Let f = -17 - -39. Let y(s) = 2*s**2 + s - 3. What is the least common multiple of f and y(-3)?
132
Let h = -4805/9 - -542. Calculate the common denominator of ((-2)/14)/(30/(-2065)) and h.
18
Let m be (2 + 16)*46/174. Let r = 2873/232 - m. Find the common denominator of r and ((-93)/16)/(25/20).
40
Let y = 3710587 + -29638927/8. Let z = y - 5712. Find the common denominator of 4 - (2/(-4) + (-36)/(-7)) and z.
56
Let w be 80/(-2)*86/(-4). Suppose 2*y + 3*h = -y - 117, 3 = h. Calculate the common denominator of (1/10)/(16/w) and y.
8
Let m(q) = -4*q**3 + q + 1. What is the least common multiple of m(-1) and 4?
4
Let v = -618/193 - -57197/14668. Find the common denominator of v and -75/16.
304
Suppose -5*i = -l - 4*l + 45, -5*l = -3*i - 37. Let r(k) = 3*k**2 - 2. Calculate the smallest common multiple of l and r(-1).
5
Let p(i) = -15*i**3 + 2*i**2 - 1. Let q be p(-1). Suppose f + f = q. What is the lowest common multiple of (-2478)/(-112) + (-2)/16 and f?
88
Suppose o + 3*w = 11 + 1, -o - 20 = -5*w. Suppose t - 4*t + 6 = o. Let x = 8 + t. What is the least common multiple of 20 and x?
20
Let w = -7800 - -171515/22. Find the common denominator of -95/6 and w.
66
Suppose 0*f + f = 17. Suppose -b + f = -3*y, -b - 3*y - 4 = -27. Calculate the lowest common multiple of b and 20.
20
Let n = 523/5 + -477/5. Find the common denominator of -13/8 and n.
40
Suppose 0 = -7*t + 17 + 11. Suppose -2*l - 3*l - g = -35, -3*l - g = -19. Suppose 0*b = -b + l. Calculate the smallest common multiple of b and t.
8
Suppose 3 = f + 31. Let v = -16 - f. What is the smallest common multiple of v and 2?
12
Let m(u) = u**3 + 6*u**2 + 2*u - 7. Let r = 0 - -20. Let y = r - 11. Calculate the least common multiple of m(-5) and y.
72
Suppose 0 = y - 2 - 0. Suppose 5*d - 10 = -3*u, -4*d - y = -5*d - u. What is the lowest common multiple of 7 and d?
14
Suppose 0*b - 8 = -b. Suppose 29 = -c + 9. Let f = c + 34. Calculate the lowest common multiple of f and b.
56
Let t(c) = c - 6. Let v be t(8). Let y = 1 + v. What is the common denominator of y/(3*-9)*-201 and 109/10?
30
Let n(t) = -6 + 2*t + t - 2*t. Calculate the lowest common multiple of 11 and n(13).
77
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
2*v + 29 = 0. Let m(n) = n**3 + 7*n**2 - 2. Determine m(r).
-2
Suppose 0 = 5*u + 4*p - 35 + 4, -3*u - 3*p + 21 = 0. Let s(a) = u*a**2 - a**3 - 2*a + 2*a**3 - 4 - 5*a + a**2. What is s(-5)?
6
Let p = -374 - -367. Let x(c) = -c**2 - 4*c + 9. What is x(p)?
-12
Suppose 26*p + 55 = -101. Let m(w) = -4*w**3 - 4*w**2 - 3*w + 1. Let l(x) = 5*x**3 + 3*x**2 + 2*x. Let u(q) = -3*l(q) - 4*m(q). Calculate u(p).
-4
Let g(u) = -u**3 - 4*u**2 + 3*u + 5. Suppose -2*o - 4*t + 64 = 3*o, -t - 52 = -3*o. Let r be o/(-2)*(-15)/(-30). What is g(r)?
-7
Let m(a) = -a**3 - 17*a**2 - a - 10. Let u(b) = b**3 + 19*b**2 + 2*b + 11. Let o(t) = -7*m(t) - 6*u(t). What is o(-6)?
-2
Let z(t) = -3*t - 9. Let g(v) = 7*v + 18. Let h(o) = 2*g(o) + 5*z(o). Suppose 0 = -7*m - 38 - 11. Give h(m).
-2
Suppose -3*z = 2*z - 25. Let j(w) = 3 + 9*w - 5*w**2 + w**3 - 3*w - z*w - 2*w**3. Let m(k) = k**3 - k - 5. Let l be m(0). Determine j(l).
-2
Suppose -41*s = -77*s + 396. Let f(u) = -u**2 + 10*u - 12. What is f(s)?
-23
Let k(x) = -x**2 + 8*x + 1. Let f = -7 - -14. What is k(f)?
8
Let p(w) be the first derivative of -w**2/2 + w + 12. Let z(d) = 12*d - 5. Let j(m) = 6*p(m) + z(m). Let n(a) = -2*a**3 + 2*a - 1. Let l be n(1). What is j(l)?
-5
Let b be (35/(-21))/((-3)/(-108)*-10). Let j(i) = -i**3 + 6*i**2 + 2*i - 14. Determine j(b).
-2
Let o(r) = -21*r - 65. Let h be o(-6). Suppose 0 = -9*d - h + 7. Let n(t) = -t**2 - 7*t + 3. What is n(d)?
9
Let j(s) = -4*s - 3. Let g(x) = 4*x - 127. Let r be g(33). Determine j(r).
-23
Let w = -98 - -97. Let n(k) = k**3 + 3*k**2 + 5*k + 4. Let u(o) = -14*o - 5*o**2 - 2*o**3 - 3*o**2 - 11 + 0*o**2. Let i(a) = -8*n(a) - 3*u(a). Give i(w).
1
Let v(s) be the third derivative of s**5/60 + s**4/2 + 13*s**3/6 - 588*s**2. Give v(-11).
2
Let a(s) = s**3 + s**2. Let v(u) = 3*u**2 + 8. Let b(y) = -3*y**2 + y - 7. Let r(c) = 6*b(c) + 5*v(c). Let t(q) = a(q) - r(q). Give t(-5).
7
Let u(r) be the first derivative of -r**4/4 - 5*r**3/3 - r**2/2 - 7*r + 270. Determine u(-5).
-2
Let g(s) = s + 3. Let l(i) = -54*i**3 - i**2 - i. Let j be l(-1). Let y be 252/j*(-6)/(-4). Determine g(y).
10
Let j(n) = n. Suppose -o + k - 2 = 0, 6*k - 3*k - 2 = o. Let x be 204/48 + o/8. Calculate j(x).
4
Suppose 0 = 3*n - 4*n. Let k(m) be the second derivative of -m**5/120 - m**4/4 - m**3/6 - 3*m. Let q(z) be the second derivative of k(z). Determine q(n).
-6
Let x(r) = r**2 - 4*r**2 + 4*r**2 + 2 + 0*r**2. Let a = 6 - 1. Suppose -a*y + 0*y = 0. Give x(y).
2
Suppose y = -b - 3, 5*b - 15 = -8*y + 13*y. Let v(t) = t**2 + t + 9. Calculate v(b).
9
Let a = 46 - 32. Let h(g) = -a + 14 - g**2 - g**2. Calculate h(2).
-8
Let p(x) = -x + 5. Let y be -21*(-3 - (-40)/12). Let i be y/(-3) - 4/12. Suppose -i*g + 4 + 2 = 0. Calculate p(g).
2
Let i = -55 + 58. Let c(d) = -i*d**2 + 2*d + d + 4*d**2 + 7*d + 10. Suppose 0*m - 4*m = 32. Give c(m).
-6
Suppose -12 = -4*p - 4*x, -4*p - 2 = 5*x - 14. Let l(y) be the first derivative of 6 - 1/4*y**4 - 2*y**2 + 3*y + 4/3*y**3. Determine l(p).
0
Let w(u) = -u**2 + 551*u + 3 + 0 - 272*u - 277*u. Give w(2).
3
Let l be 20/14*98/35. Let k(x) = 3*x + 1. Determine k(l).
13
Let o(n) = 6*n - 9. Let a(r) = 7*r - 10. Let f(g) = 5*a(g) - 6*o(g). What is f(-13)?
17
Let v(b) = -6*b + 72. Let s be v(14). Let a(q) = -q**2 - 11*q + 9. Give a(s).
-3
Let k(b) = -b**3 + 8 - 10 + 2*b**2 - 3*b**2 - 2*b - b**2. What is k(-3)?
13
Let d = -6 - -4. Let n(m) = -13 + 41 + 6*m - 15 - 11. Give n(d).
-10
Let s(c) be the second derivative of 0 - 8*c + 2*c**2 + 1/6*c**3. What is s(-6)?
-2
Suppose -3*i + 8 = 2*x, 7*i = -4*x + 4*i + 4. Let a = 8 - 6. Let d(b) = 4*b**a - 3*b + b - 3*b - 2 + 6*b. Determine d(x).
12
Let b = -33 + 59. Suppose 0*k = k - b. Suppose -23*g + k*g = 18. Let f(r) = -r**3 + 5*r**2 + 6*r + 7. Give f(g).
7
Let i(s) be the first derivative of -s**3/3 + s**2/2 + 119. Give i(5).
-20
Let s(z) be the second
|
{
"pile_set_name": "DM Mathematics"
}
|
4*sqrt(3)/5
Simplify ((sqrt(1782) + 1*sqrt(1782))/sqrt(11))**2 + sqrt(162)*-1 + sqrt(2) + (sqrt(10) + sqrt(10)*-2)/sqrt(5) + -2 + -2 + (sqrt(192)*-1)/sqrt(6).
-13*sqrt(2) + 644
Simplify 3*(1 + 4 + (3*(-1 + sqrt(891)) + 0)**2*-5).
-120405 + 2430*sqrt(11)
Simplify ((-3 + (sqrt(832)*2 - sqrt(832)))**2 - sqrt(832) - (sqrt(832) - (-4 + sqrt(832)*2)) - 1*(sqrt(832)*-1*3)**2)*-6*5.
1440*sqrt(13) + 199530
Simplify 2*((sqrt(600)/sqrt(40))/((sqrt(24)/sqrt(2) + sqrt(12) - sqrt(12))*2)*6*4*3)**2.
3240
Simplify -2 + 3 + -6*3*-3*(sqrt(44)/sqrt(4) + 5).
54*sqrt(11) + 271
Simplify ((sqrt(363) + 2 + sqrt(363))*3 + -1*sqrt(363) + 1 - ((sqrt(363) + 1 + sqrt(363) + 0 + 3*2*sqrt(363) + sqrt(363))**2 + -2))*-1.
143*sqrt(3) + 29395
Simplify ((-1 + (3*sqrt(3) - sqrt(3))**2 + -2 + sqrt(432))*-6 + -1)*-5*-3.
-1080*sqrt(3) - 825
Simplify 2*((sqrt(2016) - sqrt(2016)*-2)*-6)/((sqrt(200) + 1*sqrt(200) + sqrt(200))*-5)*5.
72*sqrt(7)/5
Simplify 6*(((sqrt(72) + 2*sqrt(72))/sqrt(12))/(1*sqrt(6)/sqrt(3)) - (-4 + (sqrt(3) + sqrt(21)/(sqrt(14)/sqrt(2)))*-6))**2.
720*sqrt(3) + 4146
Simplify (-4 + -1*sqrt(4032) + sqrt(28))**2*4 + -1 + 3 + (sqrt(28) - (-1 + sqrt(112)) - sqrt(28)).
700*sqrt(7) + 13619
Simplify (2*sqrt(65)*-1)/(sqrt(50)/(sqrt(10)*1)) - ((-3*4*sqrt(1573))**2 + 4).
-226516 - 2*sqrt(13)
Simplify (sqrt(170)*-1*4 - (sqrt(170)*-1*-5 - sqrt(170)))/((2*(-2*sqrt(70) - sqrt(70) - sqrt(70)) + sqrt(70))/(sqrt(847)*1)).
88*sqrt(17)/7
Simplify (-1*sqrt(3630) + sqrt(30) - (-2*sqrt(300))/sqrt(10))/((sqrt(210)/(-1*sqrt(7)))/(sqrt(20)/(sqrt(8)/sqrt(2)))).
8*sqrt(5)
Simplify (sqrt(726) + (sqrt(726) + (sqrt(726)*2 - sqrt(726))*4 + sqrt(726) - sqrt(726) - sqrt(726)))/(sqrt(32) - (-5*sqrt(2048) + sqrt(32))).
11*sqrt(3)/32
Simplify (1 + -2 + (sqrt(700) - (5 + 1 + sqrt(700))) + sqrt(700) + (1*sqrt(700) + sqrt(700))*2 + -2 + -1 + (sqrt(700)*2 - sqrt(700)))**2.
-1200*sqrt(7) + 25300
Simplify (6*(1 + sqrt(700) - sqrt(700)) - (sqrt(343) + 0 - (sqrt(7) + sqrt(77)/(sqrt(33)/sqrt(3)))) - (-1 + 4 + -1*sqrt(1008)))**2.
42*sqrt(7) + 352
Simplify (2*(5 + 1*sqrt(475) + 5 - ((sqrt(475) + 1)*6 - (sqrt(475) - (sqrt(475) + -1)*-4 - sqrt(475) - sqrt(475) - sqrt(475)))))**2.
17100
Simplify ((6*3*(sqrt(245) + sqrt(245)*2) - (4 + sqrt(245) + 2 + sqrt(245)*-1)) + 2)**2.
-3024*sqrt(5) + 714436
Simplify (4*(sqrt(2736)*-2 + -1 + sqrt(2736) + -1 + 1 + 1 + (sqrt(2736) + -1 + 0 - sqrt(2736)))*6)**2.
13824*sqrt(19) + 1576512
Simplify (sqrt(64)/sqrt(8) - sqrt(2))*1 + -5 + (sqrt(50) + sqrt(800) + 1 - (-2*sqrt(50) + 5))**2.
-279*sqrt(2) + 2461
Simplify -5 + (0 + (sqrt(125) + 1)*3)**2 + (6*(sqrt(10)/sqrt(2) + -4) + -6*(4 + (sqrt(5) + 2*sqrt(5) - sqrt(5))))**2.
666*sqrt(5) + 3613
Simplify 2*((sqrt(240)/(3*sqrt(768)))/(4*-3*sqrt(1440)))**2.
1/2985984
Simplify (6*-2*sqrt(931) - (sqrt(931) - (sqrt(931) + -1 + -3))) + 5 - (1 + (0 + -2 + sqrt(931)*1*6)**2).
-33520 + 84*sqrt(19)
Simplify (-2*(-6*(sqrt(3) + -1) + 1 + -3))**2 + ((sqrt(84) - 4*(sqrt(84) + sqrt(84)*2)) + sqrt(84) + sqrt(84))/(sqrt(1008)*1).
-387*sqrt(3)/2 + 496
Simplify 1 + (-3 + (1 + sqrt(847))**2)*-6 + -5 + -2 + (5 + sqrt(7) + sqrt(7) + -2 + sqrt(7))*6.
-5058 - 114*sqrt(7)
Simplify ((-2*(6*sqrt(68) + sqrt(68))*1)/(sqrt(484) - (-2*(sqrt(484) + 1*sqrt(484)) - sqrt(484))))**2.
833/1089
Simplify -4*(0 + 3*sqrt(300)*2 + sqrt(300) + -1)**2*6*3*6.
-6350832 + 60480*sqrt(3)
Simplify 6*(((sqrt(2736) - (-2*sqrt(2736)*-6 - sqrt(2736)))*-5)**2 - (4 + (-1*sqrt(2736))**2)*-1).
41056440
Simplify (-1 + (sqrt(1331)*-2)**2 - (sqrt(1331)*-2*4)**2 - (-2 + -6*-2*sqrt(11) + 0))*-1.
12*sqrt(11) + 79859
Simplify -1*((sqrt(832) + -2 - (sqrt(416)*2)/sqrt(8)) + -3)**2 + 1.
-232 + 40*sqrt(13)
Simplify -6*(5*(sqrt(10) + 2*sqrt(10)) + sqrt(10))/((-1*sqrt(16))/sqrt(8)) + (sqrt(35) + 1*sqrt(1715))/(sqrt(21)/(sqrt(9)/sqrt(3) + sqrt(3))).
112*sqrt(5)
Simplify (0 + (sqrt(52)/sqrt(4)*4*6)**2 + 5*((sqrt(13) - sqrt(117)*-2)**2 + -4*2*sqrt(13)))*4.
-160*sqrt(13) + 42692
Simplify (-2 + -3*(sqrt(475) + (0 + sqrt(475))*3))**2 + -4 + sqrt(931)*-1 + -5 + 2.
233*sqrt(19) + 68397
Simplify ((3 + ((sqrt(1377) - (sqrt(1377) - (sqrt(1377) + 1))*-6 - (sqrt(1377) + -2 + 2)) + -5)*2)*-6)**2.
12996
Simplify ((-1*sqrt(900))/(sqrt(15)/(sqrt(5)*-1)) - (-5 + 0 + sqrt(432) + -3))*4.
-8*sqrt(3) + 32
Simplify (-3*(3 + -2 + -5 + 2*(sqrt(3328) + -2))*3)**2.
-41472*sqrt(13) + 1083456
Simplify 1*(((-5 + sqrt(200)*2)*-3 + (2*sqrt(200)*4 + sqrt(200))*-6)*-5)**2
|
{
"pile_set_name": "DM Mathematics"
}
|
are the prime factors of 60607?
60607
What are the prime factors of 63466?
2, 13, 2441
List the prime factors of 3659.
3659
List the prime factors of 614.
2, 307
What are the prime factors of 8153?
31, 263
What are the prime factors of 29972?
2, 59, 127
What are the prime factors of 4477?
11, 37
List the prime factors of 2308.
2, 577
List the prime factors of 27020.
2, 5, 7, 193
List the prime factors of 1978.
2, 23, 43
List the prime factors of 45464.
2, 5683
What are the prime factors of 6501?
3, 11, 197
List the prime factors of 1477.
7, 211
What are the prime factors of 1978?
2, 23, 43
What are the prime factors of 4450?
2, 5, 89
What are the prime factors of 3837?
3, 1279
What are the prime factors of 8271?
3, 919
List the prime factors of 7066.
2, 3533
List the prime factors of 2448.
2, 3, 17
List the prime factors of 38094.
2, 3, 7, 907
What are the prime factors of 57459?
3, 107, 179
What are the prime factors of 20994?
2, 3, 3499
What are the prime factors of 611?
13, 47
List the prime factors of 46247.
103, 449
What are the prime factors of 1174?
2, 587
What are the prime factors of 11584?
2, 181
List the prime factors of 11928.
2, 3, 7, 71
What are the prime factors of 115484?
2, 28871
What are the prime factors of 141?
3, 47
What are the prime factors of 423?
3, 47
List the prime factors of 24358.
2, 19, 641
What are the prime factors of 2918?
2, 1459
What are the prime factors of 2079?
3, 7, 11
List the prime factors of 1178.
2, 19, 31
What are the prime factors of 17750?
2, 5, 71
What are the prime factors of 2175?
3, 5, 29
List the prime factors of 441.
3, 7
What are the prime factors of 18920?
2, 5, 11, 43
List the prime factors of 17859.
3, 5953
What are the prime factors of 551?
19, 29
List the prime factors of 2072.
2, 7, 37
List the prime factors of 893.
19, 47
What are the prime factors of 49156?
2, 12289
What are the prime factors of 31002?
2, 3, 5167
What are the prime factors of 3075?
3, 5, 41
What are the prime factors of 41568?
2, 3, 433
List the prime factors of 2458.
2, 1229
List the prime factors of 311.
311
What are the prime factors of 1953?
3, 7, 31
List the prime factors of 12015.
3, 5, 89
What are the prime factors of 14414?
2, 7207
List the prime factors of 5405.
5, 23, 47
List the prime factors of 514.
2, 257
List the prime factors of 911.
911
List the prime factors of 41600.
2, 5, 13
What are the prime factors of 6356?
2, 7, 227
What are the prime factors of 601?
601
What are the prime factors of 1090?
2, 5, 109
List the prime factors of 3775.
5, 151
List the prime factors of 76235.
5, 79, 193
What are the prime factors of 6732?
2, 3, 11, 17
List the prime factors of 2685.
3, 5, 179
What are the prime factors of 18825?
3, 5, 251
List the prime factors of 3005.
5, 601
What are the prime factors of 1042?
2, 521
What are the prime factors of 46002?
2, 3, 11, 17, 41
List the prime factors of 1517.
37, 41
What are the prime factors of 48?
2, 3
List the prime factors of 34573.
7, 11, 449
What are the prime factors of 62876?
2, 11, 1429
What are the prime factors of 28097?
28097
List the prime factors of 743.
743
List the prime factors of 63.
3, 7
List the prime factors of 552.
2, 3, 23
What are the prime factors of 32440?
2, 5, 811
List the prime factors of 2736.
2, 3, 19
What are the prime factors of 1084?
2, 271
What are the prime factors of 49962?
2, 3, 11, 757
What are the prime factors of 4384?
2, 137
What are the prime factors of 5051?
5051
What are the prime factors of 20933?
11, 173
List the prime factors of 5095.
5, 1019
List the prime factors of 33659.
97, 347
What are the prime factors of 92000?
2, 5, 23
List the prime factors of 29040.
2, 3, 5, 11
What are the prime factors of 11058?
2, 3, 19, 97
List the prime factors of 2669.
17, 157
List the prime factors of 1844.
2, 461
What are the prime factors of 1052?
2, 263
What are the prime factors of 15718?
2, 29, 271
List the prime factors of 87414.
2, 3, 17, 857
What are the prime factors of 10072?
2, 1259
What are the prime factors of 451?
11, 41
List the prime factors of 15253.
7, 2179
List the prime factors of 4111.
4111
What are the prime factors of 2177?
7, 311
List the prime factors of 34882.
2, 107, 163
List the prime factors of 1015.
5, 7, 29
List the prime factors of 846.
2, 3, 47
List the prime factors of 388.
2, 97
List the prime factors of 3594.
2, 3, 599
What are the prime factors of 2744?
2, 7
List the prime factors of 4299.
3, 1433
List the prime factors of 49129.
73, 673
List the prime factors of 2160.
2, 3, 5
List the prime factors of 8900.
2, 5, 89
What are the prime factors of 5039?
5039
List the prime factors of 1924.
2, 13, 37
What are the prime factors of 1215?
3, 5
What are the prime factors of 732?
2, 3, 61
List the prime factors of 3438.
2, 3, 191
What are the prime factors of 1624?
2, 7, 29
What are the prime factors of 298?
2, 149
List the prime factors of 1705.
5, 11, 31
What are the prime factors of 21204?
2, 3, 19, 31
What are the prime factors of 4520?
2, 5, 113
What are the prime factors of 1113?
3, 7, 53
What are the prime factors of 5511?
3, 11, 167
List the prime factors of 9558.
2, 3, 59
What are the prime factors of 26794?
2, 13397
List the prime factors of 4510.
2, 5, 11, 41
What are the prime factors of 11331?
3, 1259
List the prime factors of 460.
2, 5, 23
What are the prime factors of 1778?
2, 7, 127
What are the prime factors of 5627?
17, 331
What are the prime factors of 38766?
2, 3, 7, 13, 71
List the prime factors of 16063.
16063
What are the prime factors of 3799?
29, 131
List the prime factors of 1117.
1117
List the prime factors of 1845.
3, 5, 41
List the prime factors of 36530.
2, 5, 13, 281
List the prime factors of 7043.
7043
What are the prime factors of 5808?
2, 3, 11
What are the prime factors of 366?
2, 3, 61
List the prime factors of 10698.
2, 3, 1783
List the prime factors of 53435.
5, 10687
What are the prime factors of 38484?
2, 3, 1069
List the prime factors of 57664.
2, 17, 53
List the prime factors of 45100.
2, 5, 11,
|
{
"pile_set_name": "DM Mathematics"
}
|
*g**4. Give l(p) - 4*n(p).
-2*p
Let c(j) = 2. Let s(f) = f**3 - f**2 - 1. Let q be 0 - (0 - 0) - 2. Give q*s(g) - c(g).
-2*g**3 + 2*g**2
Let m(k) = 2*k + 4. Let s(j) = -1. Let c(f) = -2*f - 31. Let h be c(-16). Give h*m(d) + 3*s(d).
2*d + 1
Let q(f) = 3*f**3. Suppose -3*k - 2*k = -15. Let z(y) = -2*y**3 + y**k - 6*y**2 + 5*y**2 + 1. Calculate -q(i) - z(i).
-2*i**3 + i**2 - 1
Let i(p) = 4*p**3 + 2*p**2 + 2. Let j(y) = -y**3 - y**2 - y - 1. Determine i(z) + 3*j(z).
z**3 - z**2 - 3*z - 1
Let a(c) = -c**2 + c + 1. Suppose -4*h + 2 - 3 = l, 25 = -5*l. Let k(j) = 3*j**3 + 4*j**2 - 4*j - 4. Determine h*k(p) + 4*a(p).
3*p**3
Let p(r) = -5*r**3 + 14*r**2 - 44*r - 3. Let h(g) = 3*g**3 - 9*g**2 + 29*g + 2. Give 8*h(k) + 5*p(k).
-k**3 - 2*k**2 + 12*k + 1
Let z(b) = b**2 - 6*b - 3. Let v(r) = -2*r - 1. Give -17*v(a) + 6*z(a).
6*a**2 - 2*a - 1
Let t(k) = -5*k**2. Suppose 5*g + 12 + 23 = 0. Let x be (4 + -1)*(-44)/(-12). Let n = x + g. Let f(i) = -14*i**2. What is n*f(b) - 11*t(b)?
-b**2
Let g(v) = -6*v**2 - 4*v + 7. Suppose 2 = -d + 4. Let a = d - 9. Let q(z) = -2*z**2 - z + 2. Give a*q(p) + 2*g(p).
2*p**2 - p
Let j(n) = 4*n**3 + 5*n - 9. Let k(v) = -2*v + 2. Let b be k(7). Let p(m) = 4*m - 11. Let w be p(4). Let d(r) = 10*r**3 + 12*r - 22. Calculate b*j(x) + w*d(x).
2*x**3 - 2
Let d(m) = 21*m. Let i(u) = -2*u**3 + 3*u**2 - 5*u + 6. Let r be i(2). Let j(q) = 7*q. Calculate r*j(v) + 3*d(v).
7*v
Let o be 32/(-40) + 68/10. Let n(b) = -6*b - 1 + 0*b**3 - 4 - 2*b**3 + 7*b**2. Let d(a) = 2*a**3 - 6*a**2 + 5*a + 4. What is o*d(m) + 5*n(m)?
2*m**3 - m**2 - 1
Let f(a) = -11*a + 3. Let k(s) = 12*s - 4. Calculate 5*f(x) + 4*k(x).
-7*x - 1
Let a(j) = j + 5. Let v(z) = -5*z - 30. Let u(p) = p + 6. Let c(o) = -11*u(o) - 2*v(o). Determine 7*a(n) + 6*c(n).
n - 1
Let c(j) be the second derivative of j**3/6 - j**2/2 - j. Let l(f) be the second derivative of -f**3/2 + f**2/2 - f. Calculate -2*c(v) - l(v).
v + 1
Let s(a) = -3*a**3 + 2*a**2 - 4. Let x(q) = -3*q**3 + 3*q**2 - 4. Let d(i) = 2*s(i) - 3*x(i). Let g(r) = r**3 - 2*r**2 + 2. Determine 2*d(v) - 5*g(v).
v**3 - 2
Let p(z) = 5*z**3 - 3*z**2 - 3*z - 4. Let k = 15 + -5. Let l(c) = -c**2 + 11*c - 7. Let d be l(k). Let v(o) = 4*o**3 - 2*o**2 - 2*o - 3. Give d*p(h) - 4*v(h).
-h**3 - h**2 - h
Let y(w) = 5*w + 2*w - 6*w. Let a(p) = -2*p + 1. Let j(v) = -a(v) + 2*y(v). Let h(r) = r. Calculate -3*h(f) + j(f).
f - 1
Suppose z + 18 = 4*z. Let u(r) = -17*r + 9. Let c(d) = -7 + 11 - 6 + 4*d. Calculate z*u(p) + 26*c(p).
2*p + 2
Let z(q) be the third derivative of -q**6/120 - q**5/60 - q**3/6 + 6*q**2. Let l(c) = 8*c**3 + 5*c**2 + 5. Calculate l(i) + 5*z(i).
3*i**3
Let h(d) = -6*d**3 + 29*d**2 - 7*d + 7. Let m(i) = i**3 - i**2 + i - 1. Calculate -2*h(x) - 14*m(x).
-2*x**3 - 44*x**2
Let l(t) = 4*t**2 - t + 9. Let i(b) = -6*b**2 + 2*b - 14. Give 5*i(a) + 8*l(a).
2*a**2 + 2*a + 2
Let a = -2 - -9. Let l(x) = -5*x**2 - 5*x + 4. Let z(w) = 11*w**2 + 11*w - 9. Determine a*l(b) + 3*z(b).
-2*b**2 - 2*b + 1
Suppose 2*y = -2*y - 100. Let f be y - (-1 - -3) - -1. Let h(t) = -t. Let s(u) = -4*u. Give f*h(z) + 6*s(z).
2*z
Let r(u) = 7*u**2 + 4*u + 3. Let f(o) = -6*o**2 - 3*o - 2. Let v(z) = 3*z**2 + 13*z + 6. Let q be v(-4). Give q*r(b) + 3*f(b).
-4*b**2 - b
Let c(j) = j + 1. Let s(v) = -2*v**2 + v + 2. Let u(q) = 2*q - 1. Let y be u(1). Give y*c(o) - s(o).
2*o**2 - 1
Let f(h) = 22*h. Let q(i) be the first derivative of -7*i**2/2 + 8. Give 5*f(y) + 16*q(y).
-2*y
Let t(k) = -22*k**2 + 50*k**2 + 6*k - 22*k**2 + 6*k**3. Let q(j
|
{
"pile_set_name": "DM Mathematics"
}
|
icked without replacement from {b: 4, w: 2, r: 1, o: 2}. What is prob of picking 1 o and 1 r?
1/18
Four letters picked without replacement from {m: 3, b: 1, k: 3}. What is prob of picking 1 b and 3 m?
1/35
What is prob of picking 1 n, 1 k, and 1 e when three letters picked without replacement from krnea?
1/10
Calculate prob of picking 2 j when two letters picked without replacement from jjrjrr.
1/5
Two letters picked without replacement from {f: 3, e: 11}. Give prob of picking 1 e and 1 f.
33/91
What is prob of picking 1 j and 1 a when two letters picked without replacement from {a: 1, p: 1, j: 1, d: 1, f: 2, l: 2}?
1/28
What is prob of picking 1 d and 2 u when three letters picked without replacement from {c: 4, d: 1, t: 1, u: 3, g: 6}?
3/455
What is prob of picking 2 e and 2 i when four letters picked without replacement from ieiiieeiiiii?
12/55
Three letters picked without replacement from {t: 4, q: 7, l: 2}. Give prob of picking 3 q.
35/286
Four letters picked without replacement from zziizhiahazzhzizz. What is prob of picking 2 i, 1 a, and 1 z?
24/595
Two letters picked without replacement from {b: 1, u: 8, v: 6, q: 1}. Give prob of picking 2 v.
1/8
Three letters picked without replacement from {d: 4, k: 3, l: 5, r: 1}. What is prob of picking 3 k?
1/286
Four letters picked without replacement from fiofoonizuiuuuzfi. What is prob of picking 3 f and 1 n?
1/2380
What is prob of picking 2 s when two letters picked without replacement from ddkdksksskkxkkklskkd?
3/95
Three letters picked without replacement from addhudu. What is prob of picking 1 d and 2 u?
3/35
Calculate prob of picking 1 a and 2 t when three letters picked without replacement from {v: 1, a: 1, t: 1}.
0
Calculate prob of picking 3 o when three letters picked without replacement from {j: 4, o: 4, w: 3, v: 6}.
1/170
Calculate prob of picking 3 k when three letters picked without replacement from {k: 10, x: 4}.
30/91
Calculate prob of picking 2 e when two letters picked without replacement from eeaeaeeeeeee.
15/22
Four letters picked without replacement from llpnnsrkrrnp. Give prob of picking 1 s and 3 r.
1/495
Four letters picked without replacement from {n: 4, g: 1, r: 2}. What is prob of picking 3 n and 1 r?
8/35
What is prob of picking 1 j and 3 s when four letters picked without replacement from qqqsqesjqqsq?
1/495
What is prob of picking 1 e and 1 i when two letters picked without replacement from {i: 1, n: 1, k: 4, h: 2, e: 2}?
2/45
Two letters picked without replacement from ojbmmlmbmgggggg. What is prob of picking 1 m and 1 l?
4/105
Calculate prob of picking 1 r, 1 v, and 1 m when three letters picked without replacement from pmvjmjmjrvm.
8/165
Two letters picked without replacement from {t: 4, p: 2, g: 2, a: 7, y: 1, h: 1}. Give prob of picking 1 h and 1 g.
1/68
Calculate prob of picking 2 m when two letters picked without replacement from fxmxxxxxlffcmm.
3/91
Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {y: 6, w: 2, u: 1, o: 3}.
2/11
Three letters picked without replacement from {y: 1, p: 1, w: 2, z: 3}. Give prob of picking 2 w and 1 z.
3/35
Three letters picked without replacement from {r: 6}. Give prob of picking 3 r.
1
Four letters picked without replacement from {o: 1, d: 3, m: 2, g: 2, u: 3, b: 3}. Give prob of picking 1 o, 2 d, and 1 b.
9/1001
Three letters picked without replacement from llanaalaaaalllapl. What is prob of picking 2 a and 1 n?
7/170
What is prob of picking 2 b when two letters picked without replacement from {i: 3, t: 5, h: 1, a: 1, l: 1, b: 4}?
2/35
What is prob of picking 2 v when two letters picked without replacement from {w: 4, v: 5, a: 1, p: 1}?
2/11
Three letters picked without replacement from {f: 1, n: 1, c: 2, j: 1}. What is prob of picking 1 j, 1 f, and 1 n?
1/10
What is prob of picking 4 d when four letters picked without replacement from {d: 5, s: 3}?
1/14
What is prob of picking 1 l and 1 o when two letters picked without replacement from wowwlowwwwwofwlwwwof?
4/95
Calculate prob of picking 1 n and 1 k when two letters picked without replacement from xnsxvxskkk.
1/15
What is prob of picking 1 g and 3 b when four letters picked without replacement from {g: 7, b: 5}?
14/99
Calculate prob of picking 2 k when two letters picked without replacement from kktkkkkkkt.
28/45
Four letters picked without replacement from {x: 2, q: 16}. What is prob of picking 1 x and 3 q?
56/153
Four letters picked without replacement from yggyyygy. What is prob of picking 3 g and 1 y?
1/14
What is prob of picking 1 h, 1 b, 1 y, and 1 m when four letters picked without replacement from mbththmy?
2/35
Two letters picked without replacement from bozlzo. Give prob of picking 1 z and 1 b.
2/15
Four letters picked without replacement from {g: 1, e: 4, l: 2, x: 4, p: 3}. Give prob of picking 1 l, 1 g, and 2 e.
12/1001
Two letters picked without replacement from vuvvvlvvvvuuvm. What is prob of picking 1 m and 1 l?
1/91
What is prob of picking 2 t, 1 h, and 1 p when four letters picked without replacement from {h: 3, t: 5, p: 1, d: 3, b: 1}?
6/143
What is prob of picking 1 u and 1 b when two letters picked without replacement from hbubfoefe?
1/18
What is prob of picking 1 d, 1 f, and 1 l when three letters picked without replacement from blllllfoplbolldplop?
3/323
Four letters picked without replacement from {h: 2, b: 12, u: 3, p: 2, o: 1}. What is prob of picking 1 h, 1 b, and 2 p?
8/1615
What is prob of picking 3 u and 1 a when four letters picked without replacement from {u: 5, t: 6, a: 4}?
8/273
Two letters picked without replacement from uuthotttshlusuu. What is prob of picking 1 o and 1 h?
2/105
Calculate prob of picking 3 z and 1 j when four letters picked without replacement from {p: 2, j: 2, z: 6, e: 1}.
4/33
Calculate prob of picking 2 d and 1 z when three letters picked without replacement from {d: 2, r: 3, z: 5}.
1/24
Two letters picked without replacement from fboobdbuobfoxuo. Give prob of picking 1 b and 1 f.
8/105
What is prob of picking 2 c and 1 g when three letters picked without replacement from vgcejjvgeegjjcjvj?
3/680
Two letters picked without replacement from {m: 1, z: 4, i: 6, s: 2}. What is prob of picking 1 m and 1 z?
2/39
Three letters picked without replacement from hhxhbdhhxhddeahhhah. Give prob of picking 2 h and 1 b.
15/323
Three letters picked without replacement from qxxqxxxxx. Give prob of picking 3 x.
5/12
Calculate prob of picking 2 u when two letters picked without replacement from uzuzzzzuzzz.
3/55
What is prob of picking 1 w and 2 v when three letters picked without replacement from wvzvvvzzw
|
{
"pile_set_name": "DM Mathematics"
}
|
?
1856
Which is bigger: 6/5521 or -1?
6/5521
Is -0.1 equal to -185?
False
Is -11/57 <= 1?
True
Which is smaller: -2280/13 or -176?
-176
Are 390 and 2 equal?
False
Is -201 != -181?
True
Do 0 and -19/43 have different values?
True
Which is smaller: 17 or 104?
17
Is 0 at most -64/79?
False
Which is smaller: 555/14 or 39?
39
Which is bigger: -1 or 19/43?
19/43
Is -51 smaller than -0.7?
True
Which is bigger: -4 or 10/3?
10/3
Is -1 bigger than 19/123?
False
Is -816 smaller than -799?
True
Which is smaller: 15 or 397?
15
Is -4 smaller than -47/13?
True
Which is bigger: 80/119 or 1?
1
Is -28 at most 0.08?
True
Is 2182 > 2183?
False
Which is bigger: -565 or -566?
-565
Do 150 and 1042/7 have the same value?
False
Which is greater: 15/274 or -1?
15/274
Is 760/3 >= 254?
False
Is -3/2 bigger than -114?
True
Which is smaller: 2/51 or 1?
2/51
Which is smaller: 1/4 or -2/363?
-2/363
Is 1 at most as big as 1/4160?
False
Which is smaller: 15/616 or -1?
-1
Which is bigger: -87/32 or -4?
-87/32
Is 0 at most -1/722?
False
Which is bigger: 481 or 480?
481
Is -1 bigger than -4/21683?
False
Are -250 and -248 non-equal?
True
Is 1299 at most 1297?
False
Are -938/17 and -55 non-equal?
True
Which is bigger: 0 or -5/313?
0
Is -4 at most as big as -141.2?
False
Which is bigger: 0 or -1/451?
0
Is 725 >= -1/3?
True
Which is smaller: 2/3 or -20.8?
-20.8
Which is greater: 0.07 or -1/4?
0.07
Is 578 <= 579?
True
Is 109 bigger than -10?
True
Is 13 less than 219/19?
False
Which is smaller: -7.3 or 13/4?
-7.3
Are 120 and 121 unequal?
True
Is -42 at least -4.3?
False
Is -84 > -84?
False
Which is bigger: -1 or 53?
53
Is 2137 greater than 2137?
False
Is 107 at least as big as 107?
True
Is -1338 bigger than -1333?
False
Is -2/83 at most as big as 1/3?
True
Are -108/55 and 2/49 nonequal?
True
Which is bigger: 0 or 30/1141?
30/1141
Does 0.07 = 0.044?
False
Which is greater: 0 or -858?
0
Which is smaller: 225 or 12?
12
Which is smaller: 500 or 501?
500
Do 20201 and 20200 have different values?
True
Which is smaller: -7 or -2.2?
-7
Does 3/338 = -0.02?
False
Do -281 and 2/9 have the same value?
False
Which is greater: -2/7 or 0?
0
Is -3 bigger than -0.001?
False
Is -1.2 at most as big as -4?
False
Is 4/4125 at most 1?
True
Which is smaller: 6/23 or -11/6?
-11/6
Which is greater: -0.1 or 1073?
1073
Do 6 and -20 have the same value?
False
Is 129.1 at most 0?
False
Which is bigger: 307 or 258?
307
Do -1 and -7/2822 have the same value?
False
Is 0.2 greater than or equal to 8/609?
True
Is -2 > -9/11?
False
Which is greater: -0.4 or 202?
202
Which is bigger: -101 or -1199/12?
-1199/12
Is 5.6 bigger than 1.7?
True
Which is bigger: -1/3164 or 0?
0
Is -69 at most as big as -68?
True
Which is greater: -5/654 or 0?
0
Is -2384 greater than -2382?
False
Is -2/3 at least as big as -3029?
True
Is -0.07 smaller than -1873/4?
False
Are -46 and 2/45 nonequal?
True
Which is smaller: 0 or 1/408?
0
Which is greater: 135 or 134?
135
Which is smaller: -21 or -40?
-40
Is 12/53 greater than -1?
True
Is 2317 less than 2316?
False
Is 0 less than 1/6436?
True
Does -255 = 5?
False
Which is smaller: 1 or 2/175?
2/175
Is 187/6 bigger than -7?
True
Is 4 greater than 56/13?
False
Which is greater: 2087 or 8349/4?
8349/4
Which is bigger: 895 or 894?
895
Is -550 at most -550?
True
Which is smaller: -141/38 or -3?
-141/38
Which is bigger: 1704 or 1706?
1706
Which is greater: -2042 or -2043?
-2042
Which is greater: 2 or -89?
2
Which is smaller: 9/5 or 2?
9/5
Which is smaller: -1793 or -1794?
-1794
Is 134 >= 155?
False
Is 2/1481 > -1?
True
Is -11031 <= 0?
True
Is 25274 at most as big as 25275?
True
Which is smaller: 1 or -5/2?
-5/2
Which is bigger: -33 or -22?
-22
Is 82 smaller than 244/3?
False
Which is greater: 484 or 483?
484
Is 2/4681 < 1?
True
Which is smaller: 68 or -4?
-4
Which is greater: -3560 or -3559?
-3559
Is -338 > -327?
False
Which is smaller: 1 or -7/40?
-7/40
Is 182 less than 184?
True
Do -1/13 and -1 have the same value?
False
Is 2/24215 != 0?
True
Which is greater: 1 or -212?
1
Which is smaller: 0 or 6/19?
0
Does -2679 = -2677?
False
Which is smaller: 5 or -66?
-66
Is -1225 less than or equal to 2/3?
True
Which is bigger: 6/14791 or 0?
6/14791
Is -35 smaller than 0.08?
True
Is -2/19 > 5/2?
False
Which is smaller: -9 or -330/43?
-9
Which is smaller: -1 or 6/193?
-1
Do 1 and 1316.3 have different values?
True
Which is greater: -194 or -171?
-171
Is -12 bigger than -109?
True
Which is smaller: -15 or -110/7?
-110/7
Is 2/45 equal to -291?
False
Is 5 at least 37/9?
True
Which is bigger: 32/147 or -1?
32/147
Which is smaller: -12798 or -12799?
-12799
Which is smaller: 1 or 1/4536?
1/4536
Is -178 <= 0.3?
True
Which is bigger: -38/17 or -3?
-38/17
Is 51 less than or equal to 49?
False
Is 1/41 <= 0.092?
True
Which is smaller: -6 or -56/11?
-6
Which is smaller: 5/822 or 1?
5/822
Which is smaller: 2/5 or -111?
-111
Which is bigger: -42 or -39?
-39
Is 2280/31 > 74?
False
Which is smaller: -870/11 or -79?
|
{
"pile_set_name": "DM Mathematics"
}
|
= 2*d**2. Calculate n(g(f)).
2450*f**2
Let c(b) be the second derivative of -69 + 69 + 12*b + 2*b**3. Let k(l) = 2*l**2. Calculate k(c(t)).
288*t**2
Let v(x) = 3*x**2. Let u(t) be the first derivative of -2*t**3 - 47. Determine u(v(f)).
-54*f**4
Suppose -4*h + 0 = -2*c - 4, 0 = 3*h - 9. Let z(a) = 5*a - 4*a - c*a + 2*a. Let v(q) = -4*q**2. Determine v(z(i)).
-4*i**2
Let q(d) = -31*d + 15*d + 18*d. Let c(g) = -157*g. Calculate c(q(i)).
-314*i
Let w(p) = -7*p - 1. Let a(n) = -17*n + 1. Give a(w(y)).
119*y + 18
Let c(n) = -n. Let g(k) = 20*k**2 - 8*k. Let s(x) = -8*c(x) + g(x). Let j(a) = -a**2 - 4926*a + 4926*a. Calculate s(j(b)).
20*b**4
Let y(c) be the third derivative of -c**7/360 + c**5/12 - c**2. Let k(o) be the third derivative of y(o). Let w(h) = h**2. Give k(w(v)).
-14*v**2
Let q be (-5 - -4)*(-3 + 0 - -3). Let s(x) be the third derivative of 0*x**3 + 0*x + 6*x**2 + q + 1/24*x**4. Let a(b) = -b. Give a(s(r)).
-r
Let h(j) = -20*j - 14. Let a(x) = -7*x - 5. Let g(s) = -14*a(s) + 5*h(s). Let l(u) = -u + 1. Let d(m) = 2*m - 1. Let y(p) = 6*d(p) + 6*l(p). Calculate g(y(b)).
-12*b
Let c(h) = -2*h. Let s(d) = -487959*d**2. Give s(c(w)).
-1951836*w**2
Let r(s) = -258*s**2. Let w(n) = 1215*n + n**2 - 1215*n. Give w(r(l)).
66564*l**4
Let t(d) = 18*d. Let q(v) be the first derivative of 0*v**2 + 17 + 0*v + 2/3*v**3. Give t(q(x)).
36*x**2
Let o(w) = 0 - 6*w**2 + 0 + 0. Let h = -18 + 21. Let s(v) = -5*v**2. Let c(m) = h*o(m) - 4*s(m). Let g(z) = -4*z. Give c(g(j)).
32*j**2
Let f(g) be the second derivative of g**3/6 - 316*g + 2. Let u(s) = -174*s. Calculate u(f(c)).
-174*c
Let p = 4 - -6. Suppose 0*s = 5*s - p. Let o(d) = -38 + 2*d**s + 38. Let g(x) = 4*x**2. Calculate o(g(b)).
32*b**4
Let s(n) = -26*n**2. Let t(g) = 6*g**2 - 51 + 112 - 61. Determine s(t(r)).
-936*r**4
Let b(g) = -2*g**2 - 45*g. Let p(o) = -11873*o. Determine p(b(c)).
23746*c**2 + 534285*c
Let k(u) be the second derivative of -u**3 - 23*u + 3. Let d(t) be the first derivative of 2*t**2 - 3. Give d(k(l)).
-24*l
Let i(l) = 1051*l**2. Let u(q) = -324*q. Give i(u(w)).
110329776*w**2
Let p(v) = 77637*v**2. Let c(n) = -5*n. Calculate p(c(s)).
1940925*s**2
Let n(d) = 14*d**2. Let g(q) be the second derivative of q**3/3 - 34*q. Give n(g(u)).
56*u**2
Let u(k) = 20*k - 11*k - 11*k. Let m(v) = 2*v**2 - 47*v + 27*v + 20*v. Determine u(m(q)).
-4*q**2
Let y(o) = -6*o**2. Suppose -3*f - 2*f + 1255 = 0. Suppose 0 = 3*c - x - 344, 0 = 2*c - 9*x + 4*x - f. Let z(s) = -c - 2*s + 113. Give z(y(i)).
12*i**2
Let o(k) = 22935*k. Let u(g) = -3*g - 5. Calculate o(u(i)).
-68805*i - 114675
Let b(a) = -18*a. Let q(l) = -14*l - 5. Let x(s) = -8*s - 2. Let c(d) = 2*q(d) - 5*x(d). Calculate b(c(m)).
-216*m
Let c(g) = 3*g. Let s(n) = 11*n**2 - 16*n + 1. Let t(a) = -a**2 + 2*a. Let j(i) = 5*s(i) + 40*t(i). Let u(b) be the first derivative of j(b). What is u(c(h))?
90*h
Let w(k) be the second derivative of -k**4/4 - k. Suppose 0 = -4*d + 11 + 9. Let v(r) = -r. Let q(h) = -14*h. Let b(n) = d*q(n) - 60*v(n). Determine w(b(j)).
-300*j**2
Let w(l) = 687*l**2. Let h(k) = -94*k**2. What is h(w(v))?
-44365086*v**4
Let d(f) = -1 - 4 - 2*f**2 + 5. Let m(i) = -7*i**2 + 3*i. Give m(d(j)).
-28*j**4 - 6*j**2
Let n(u) = 4*u + 2*u - 4 - 3*u. Let r(f) = 6*f - 1. Let w(m) = 17*m - 4. Let t(h) = 3*r(h) - w(h). Let a(c) = n(c) + 4*t(c). Let o(p) = -p. Calculate a(o(k)).
-7*k
Let i(t) = 4*t**2 + 6. Let q(h) = 3*h**2 + 5. Let x(f) = -5*i(f) + 6*q(f). Let y(n) be the first derivative of -10/3*n**3 + 0*n**2 + 9 + 0*n. Calculate y(x(d)).
-40*d**4
Let j(l) be the third derivative of -l**4/6 - 2*l**2 + 31*l. Let a(f) = 23*f**2. What is j(a(w))?
-92*w**2
Let h(w) = w. Let q(s) = 77*s**2 - 8607. Give q(h(g)).
77*g**2 - 8607
Let d(a) = -1 + 1 + 12*a. Let g(k) be the third derivative of -k**7/
|
{
"pile_set_name": "DM Mathematics"
}
|
k - s = 38. Let h = t - k. What is the units digit of h?
7
Let j(w) = -w**3 - 23*w**2 - 48*w + 3. Let z be j(-21). Let h = 218 + z. What is the hundreds digit of h?
3
Let b(k) = k**3 + 5*k**2 - 11*k - 3. Let p be b(-6). Suppose -p*r + 10257 = -3108. What is the tens digit of r?
9
What is the thousands digit of (-1)/5 + 1 + (-1121184)/(-170)?
6
Let a = -22742 + 25045. What is the units digit of a?
3
Suppose -2*q = -5*m + 378, 4*m - 574 = q + 2*q. Let w = q - -85. Let u = 72 - w. What is the units digit of u?
1
Let s(k) = 2*k**3 - 26*k**2 - 94*k - 23. Let z be s(16). Suppose 2*p + 1410 = 2*f, 5*f - 4*p + 2828 = z*f. What is the tens digit of f?
0
Suppose -19*r + 194882 = 113372 - 461377. What is the thousands digit of r?
8
What is the thousands digit of (4 - (-13592)/12)*(-48)/(-5)?
0
Suppose 0 = -n, 3*s - 7*n = -5*n + 27. Suppose -16 = s*x - 70. Suppose x*f - 123 - 669 = 0. What is the tens digit of f?
3
Suppose 5*p + 3*b - 114 = 0, -3*p + 100 = p - 2*b. Suppose 0*x - p = -x. Let y = 149 - x. What is the units digit of y?
5
Let n(r) = 4982*r**2 - 92*r - 2. What is the units digit of n(-2)?
0
Let m = -43 - -27. Let c = 19 + m. Suppose -3*f + c*v = -4 - 14, 4*f + 5*v - 6 = 0. What is the units digit of f?
4
Suppose -5*q + 19 = -2*i, 21 = 3*q - i + 9. Suppose 0 = 3*w - y - 291, 0 = -q*w - 5*y + 379 + 126. What is the tens digit of w?
9
Suppose 8*g = -160 - 520. What is the units digit of g*(28/20)/(-1)?
9
Suppose 0 = 5*y + 3*k - 981, 2*y + k = 201 + 192. Suppose 0 = 4*x + 2*u + 52 - 844, 2*u - y = -x. What is the units digit of x?
8
Suppose -7*k + 3*n = -4*k - 158154, -5*n = -k + 52686. What is the thousands digit of k?
2
Let o be (-1)/(-4) + 13*(-14)/(-8). Suppose -3*d - 5*x + 263 = 0, o*x = 2*d + 25*x - 178. What is the tens digit of d?
9
Suppose a + 137 + 401 = 3*r, 2*r - 4*a - 342 = 0. Let x = 170 + r. What is the hundreds digit of x?
3
Suppose 7*k - 10*k + 4809 = 0. Let t = 2967 - k. What is the hundreds digit of (-2)/((-270)/t - 4/(-22))?
1
Let u(t) = -t + 15. Suppose 100 = -5*v - 5*y, 2*y = 4*v - y + 87. Let f be v/21*1*-13. What is the units digit of u(f)?
2
Suppose 45*p - 52*p + 280 = 0. Suppose 4*d + 0*d + 20 = 0, -2*s = -4*d - 188. Let k = s - p. What is the tens digit of k?
4
Let a(z) = 3617*z - 6084. What is the ten thousands digit of a(11)?
3
Suppose -854255 = 51*m - 1510288 - 1157884. What is the ten thousands digit of m?
3
Let x(t) be the third derivative of 5*t**4/3 - 5*t**3/6 + t**2. Suppose 24*k + 76 = 124. What is the units digit of x(k)?
5
Suppose -4*f + 90 = 3*v - 70, 0 = 4*v - 5*f - 203. Suppose v*p = 61*p - 11331. What is the thousands digit of p?
1
Let f(d) = -4*d - 36. Let q be f(-9). Suppose q = -6*a + 10*a - 5708. What is the thousands digit of a?
1
What is the hundreds digit of -7*(-2)/(-4)*8*(-1204)/4?
4
Let m(o) = o**2 - 5*o. Let v(k) = -k**2 + 21. Let d be v(-4). Let g be m(d). Suppose 0*c + 3*q + 497 = 4*c, 5*q - 25 = g. What is the units digit of c?
8
Let h(d) be the first derivative of 39*d**4/4 + 2*d**3/3 - d - 57. Let v = -11 - -12. What is the tens digit of h(v)?
4
What is the hundreds digit of ((-39856)/(-3) + -2)/((-1054)/(-186) - 5)?
9
Let a be (-1)/(-3) + -3 + (-40)/(-15). Let c(f) = a - 5 - 43*f - 20*f - 13*f. What is the tens digit of c(-1)?
7
Let w = 76 - 72. Suppose -t - 1753 = -w*g, -t - 412 = -g - 6*t. What is the tens digit of g?
3
Let c(z) = -21*z + 16. Let i(k) = -k**3 - 6*k**2 - 4. Let j be i(-6). Let s be c(j). Let f = -85 + s. What is the tens digit of f?
1
Let p = -25620 + 48947. What is the units digit of p?
7
Let w = -101 - -105. Suppose 5*t - w*o = 2424, -5*t - 10*o + 5*o + 2415 = 0. What is the hundreds digit of t?
4
Suppose 3*o - 4*v = -955, 0 = 3*o - 5*v + 10*v + 919. Let d(n) = 589*n**3 + 2*n + 1. Let s be d(-1). Let j = o - s. What is the units digit of j?
7
Suppose 0 = 2*x, -2*c - 2*c - 2*x + 8 = 0. Let q(b) = b - 1. Let f be q(3). Suppose -72 = -v + 5*o, -f*o - c*o + 505 = 5*v. What is the tens digit of v?
9
Let z be -3*(2 - 0)*2/(-4). Suppose -a = -z*a + a. Suppose 5*r = 4*s + 368, a = -2*r + s + 2*s + 150. What is the units digit of r?
2
Let i = 28066 + -15407. What is the ten thousands digit of i?
1
What is the tens digit of (1/(-3*9/(-17631)))/((-1)/(-117))?
0
What is the tens digit of (185750/5)/5*(-2)/4*-1?
1
Let f(y) = 9*y. Let v be f(-6). What is the units digit of 9*(-4)/v*444/1?
6
Suppose 143268 = 5*u - 4*v, -61*u - 2*v - 57304 = -63*u. What is the units digit of u?
0
What is the hundreds digit of (525 - 21)/(((-14)/(-61))/7)?
3
Suppose -29815 - 26670 = -11*a. Suppose 7*g - 437 - a = 0. What is the tens digit of g?
9
Suppose 9 = -4*p - 11, 2*f = 2*p + 14. What is the tens digit of (-387)/(((-3)/(-18))/((-1)/f))?
6
Let f = -9178 + 17889
|
{
"pile_set_name": "DM Mathematics"
}
|
f 164174?
2, 23, 43, 83
List the prime factors of 1199.
11, 109
List the prime factors of 40266.
2, 3, 2237
List the prime factors of 442.
2, 13, 17
What are the prime factors of 2680?
2, 5, 67
What are the prime factors of 69540?
2, 3, 5, 19, 61
List the prime factors of 116311.
13, 23, 389
What are the prime factors of 156867?
3, 52289
List the prime factors of 1932.
2, 3, 7, 23
List the prime factors of 6550.
2, 5, 131
What are the prime factors of 1981?
7, 283
What are the prime factors of 91939?
91939
List the prime factors of 596.
2, 149
What are the prime factors of 39857?
39857
List the prime factors of 37023.
3, 7, 41, 43
List the prime factors of 489.
3, 163
What are the prime factors of 13906?
2, 17, 409
What are the prime factors of 53076?
2, 3, 4423
What are the prime factors of 2359?
7, 337
What are the prime factors of 45?
3, 5
What are the prime factors of 3397?
43, 79
List the prime factors of 1065.
3, 5, 71
List the prime factors of 1785.
3, 5, 7, 17
What are the prime factors of 980?
2, 5, 7
List the prime factors of 617.
617
What are the prime factors of 34394?
2, 29, 593
List the prime factors of 2020.
2, 5, 101
List the prime factors of 117624.
2, 3, 13, 29
List the prime factors of 5423.
11, 17, 29
What are the prime factors of 9988?
2, 11, 227
What are the prime factors of 1625?
5, 13
List the prime factors of 235.
5, 47
What are the prime factors of 922?
2, 461
What are the prime factors of 2026?
2, 1013
What are the prime factors of 10192?
2, 7, 13
What are the prime factors of 3974?
2, 1987
List the prime factors of 150114.
2, 3, 127, 197
List the prime factors of 352.
2, 11
List the prime factors of 1256.
2, 157
What are the prime factors of 2572?
2, 643
List the prime factors of 9398.
2, 37, 127
List the prime factors of 1541.
23, 67
List the prime factors of 1726.
2, 863
List the prime factors of 33161.
33161
List the prime factors of 482.
2, 241
List the prime factors of 1359.
3, 151
List the prime factors of 1493.
1493
List the prime factors of 25771.
25771
List the prime factors of 385.
5, 7, 11
List the prime factors of 1151.
1151
What are the prime factors of 1348?
2, 337
List the prime factors of 84103.
31, 2713
What are the prime factors of 5813?
5813
What are the prime factors of 1049?
1049
What are the prime factors of 46047?
3, 15349
List the prime factors of 8608.
2, 269
What are the prime factors of 785?
5, 157
List the prime factors of 80571.
3, 107, 251
List the prime factors of 433.
433
List the prime factors of 1261.
13, 97
What are the prime factors of 1335?
3, 5, 89
What are the prime factors of 125147?
11, 31, 367
List the prime factors of 2345.
5, 7, 67
What are the prime factors of 37905?
3, 5, 7, 19
What are the prime factors of 77279?
77279
List the prime factors of 32930.
2, 5, 37, 89
List the prime factors of 10671.
3, 3557
What are the prime factors of 18549?
3, 229
What are the prime factors of 2825?
5, 113
What are the prime factors of 5089?
7, 727
List the prime factors of 11543.
7, 17, 97
List the prime factors of 16138.
2, 8069
What are the prime factors of 9527?
7, 1361
List the prime factors of 15299.
15299
What are the prime factors of 3965?
5, 13, 61
What are the prime factors of 1212?
2, 3, 101
List the prime factors of 6753.
3, 2251
What are the prime factors of 48195?
3, 5, 7, 17
List the prime factors of 112.
2, 7
List the prime factors of 2087.
2087
List the prime factors of 579.
3, 193
What are the prime factors of 46211?
11, 4201
List the prime factors of 26397.
3, 7, 419
What are the prime factors of 35166?
2, 3, 5861
List the prime factors of 192038.
2, 7, 11, 29, 43
What are the prime factors of 7058?
2, 3529
What are the prime factors of 1637?
1637
List the prime factors of 5647.
5647
What are the prime factors of 2067?
3, 13, 53
List the prime factors of 2133.
3, 79
What are the prime factors of 17464?
2, 37, 59
List the prime factors of 60076.
2, 23, 653
What are the prime factors of 1869?
3, 7, 89
List the prime factors of 16227.
3, 601
What are the prime factors of 19464?
2, 3, 811
List the prime factors of 1086.
2, 3, 181
List the prime factors of 33986.
2, 16993
List the prime factors of 53671.
191, 281
List the prime factors of 49533.
3, 11, 19, 79
List the prime factors of 16662.
2, 3, 2777
List the prime factors of 8909.
59, 151
What are the prime factors of 16189?
16189
List the prime factors of 12952.
2, 1619
What are the prime factors of 26157?
3, 8719
What are the prime factors of 1113?
3, 7, 53
What are the prime factors of 2204?
2, 19, 29
List the prime factors of 73336.
2, 89, 103
List the prime factors of 3368.
2, 421
What are the prime factors of 2865?
3, 5, 191
What are the prime factors of 1455?
3, 5, 97
What are the prime factors of 44438?
2, 17, 1307
What are the prime factors of 16619?
16619
What are the prime factors of 137401?
11, 12491
What are the prime factors of 143600?
2, 5, 359
List the prime factors of 8989.
89, 101
What are the prime factors of 3456?
2, 3
What are the prime factors of 38123?
67, 569
What are the prime factors of 95102?
2, 7, 6793
List the prime factors of 1522.
2, 761
What are the prime factors of 11661?
3, 13, 23
What are the prime factors of 437?
19, 23
What are the prime factors of 2128?
2, 7, 19
What are the prime factors of 121?
11
List the prime factors of 3962.
2, 7, 283
List the prime factors of 739.
739
What are the prime factors of 15954?
2, 3, 2659
List the prime factors of 29009.
29009
List the prime factors of 1093.
1093
List the prime factors of 4995.
3, 5, 37
List the prime factors of 4685.
5, 937
List the prime factors of 171.
3, 19
List the prime factors of 607.
607
What are the prime factors of 298?
2, 149
List the prime factors of 1452.
2, 3, 11
What are the prime factors of 2465?
5, 17, 29
What are the prime factors of 2538?
2, 3, 47
What are the prime factors of 12302?
2, 6151
What are the prime factors of 928?
2, 29
What are the prime factors of 48952?
2, 29, 211
List the prime factors of 1267.
7, 181
List the prime factors of 10907.
13, 839
List the prime factors of 17829.
3
|
{
"pile_set_name": "DM Mathematics"
}
|
et v = 119.5741 - -2.4259. What is the second biggest value in b, v, 1/5?
b
Suppose -28*g + 41*g = 52. Suppose y = -3*i - 1, 0 = -3*y + i - g + 1. What is the third biggest value in -0.1, -6, y, -5?
-5
Let r = 6.1 + 50.9. Let z = 57.5 - r. Which is the second smallest value? (a) -8.9 (b) -2/21 (c) 2/9 (d) z
b
Let f = -1.06708 - -0.06708. Which is the fourth smallest value? (a) -11 (b) -0.4 (c) 3/16 (d) f
c
Let y = 14/117 + 4/39. What is the second smallest value in -542, 0.5, 2, y?
y
Let h = 41.5 + 43. Let w = -84 + h. Let o = -3.3 - -3. Which is the fourth smallest value? (a) 5 (b) o (c) 0.4 (d) w
a
Let k = 44551.4 - 44550. Let o = -0.51 - -0.01. Which is the third smallest value? (a) o (b) 5 (c) k
b
Let a = -403.4 + 428. Let u = a + -15.6. What is the biggest value in 0.3, u, -0.3, 3/7?
u
Let q = 0.29288 + -0.06288. Which is the third smallest value? (a) -0.2 (b) -4 (c) q (d) 4 (e) -5
a
Let y = -23911 + 23913. Let v = -0.3 - -0.31. Suppose 2 + 6 = 2*o. Which is the fourth smallest value? (a) y (b) o (c) 5 (d) v
c
Suppose 10*r = 23*r + 5460. Let z(y) = y**2 + 5*y - 7. Let f be z(-6). Let b be r/(-680) - ((-1)/2)/f. What is the biggest value in b, -2, 2/11, 0.5?
0.5
Let r(y) be the second derivative of 2*y**3 + 22*y**2 - 4*y. Let i be r(-4). Let w = 15.15 - 15. Which is the smallest value? (a) w (b) -0.2 (c) i
c
Let v = -0.1 - 0.1. Suppose k = g + 4573 - 4560, 3*g - 2*k = -30. Which is the fourth smallest value? (a) -0.4 (b) v (c) -1/2 (d) g
b
Let x = 0.02391 - 0.32391. What is the second smallest value in -0.2, -1/6, x, -2/5, -6?
-2/5
Let h be -5 - -11 - (-192)/(-30). Let v be (-294243)/483 - 2/(-7). Let u = -609 - v. What is the biggest value in u, 4/9, h?
4/9
Let w(a) = 39*a + 23 - 12 - 12. Let v be w(-5). Let i = v + 977/5. What is the second smallest value in i, -1/2, -12?
i
Let g = 42 - 47.3. Let k = g + 5.1. Let n = -15.5 - -16. What is the second biggest value in k, n, -0.1?
-0.1
Let k be (10/12)/(((-45)/(-42))/(94/329)). Which is the third biggest value? (a) -3/2 (b) -2/5 (c) 51 (d) k (e) 5
d
Let v be -4 - 51/78 - (-15)/(-6) - -7. Which is the biggest value? (a) v (b) 0.3 (c) -2/151
b
Let x = -148.971 - 0.029. Let g = 149.03398 - 0.13398. Let k = x + g. Which is the fourth smallest value? (a) 0 (b) 4 (c) 3/4 (d) k
b
Suppose -3*g - w = -4*g, 2*w = g - 3. Let i be -1*(-5)/g*3. Suppose 2*m = n + 3, 0 - 3 = -2*n - 5*m. Which is the second biggest value? (a) n (b) i (c) 0
a
Let x = -3108 - -3107. Which is the biggest value? (a) x (b) -6.68 (c) -3
a
Suppose -4*j = 4*j - 56. Let b be ((-1)/(-1))/(j/525). Suppose 0 = 4*r + b + 81. What is the second smallest value in 0.1, r, -2?
-2
Let k = -141.52 - -143.52. What is the third biggest value in -9, 0.1, 2/7, -2/5, k?
0.1
Let w = -911/3 + 6368/21. What is the third smallest value in 1/5, 3, w?
3
Let f = 17227/5 + -3446. Which is the biggest value? (a) 3 (b) 3/4 (c) f (d) 4
d
Let y = 23 - 20. Let k be 193 - 4/((-5)/(-5)). Suppose 3*q = k - 225. What is the third smallest value in y, q, -1?
y
Let c = 15.6 + -1.6. Let y = c - 16. Let v = 50 + -49.95. What is the smallest value in y, -2/3, v?
y
Let n = -29.39 + 29.43. What is the second biggest value in 23, -2, n?
n
Let q = 0 + -0.2. Suppose 4*a = -5*m + 5, -30 = 3*m - 8*m + a. Let n be (m + 80/(-25))*5. What is the third smallest value in 0.2, q, n?
n
Let p = -4/579 - 563/2316. What is the third smallest value in -20/7, -10, p?
p
Let d = -13 - -22. Let n = 32042.7 + -32043. What is the fourth smallest value in n, 3, d, 5/4?
d
Let p be -5 - (28/7 + 20). Let h = 26 + p. Which is the second biggest value? (a) -1/6 (b) h (c) -4/15
c
Let d = -0.12 + -4.88. Let w = -598.1303 + 0.1303. Let n = w + 597. Which is the second biggest value? (a) -10 (b) d (c) n
b
Let q = -32256 - -32255.9. Which is the third smallest value? (a) 1/2 (b) -11/15 (c) 0 (d) -0.4 (e) q
e
Let u = -7.083 + 7. Let i = u - -0.653. Let o = 4.57 - i. Which is the third biggest value? (a) 0 (b) o (c) -0.5
c
Let o = 6 + -11. Let f = -364.3 - -364.4. Which is the smallest value? (a) o (b) -1/6 (c) f (d) 1
a
Let j = -0.09 + 0.09. Let n = -96.42 + 82.42. Which is the third biggest value? (a) j (b) 3 (c) n
c
Let p = -39 + 92. Let k(v) = -v**3 + 5*v - 5. Let u be k(2). Which is the third biggest value? (a) p (b) -5 (c) u
b
Let z be -2 - (1/4 - (-33)/(-22)). Which is the second smallest value
|
{
"pile_set_name": "DM Mathematics"
}
|
Let l = 1 - -1. Let v be (l + 7)*(-10)/(-6). Let s = v + -8. Does 3 divide s?
False
Suppose -63 = -5*c + 2*c. Suppose -3*y + 9 = -3*q, 0*y - 3*y + c = 3*q. Suppose -2*m - 116 = -4*w - w, 4*m = -q*w + 56. Is 20 a factor of w?
False
Does 16 divide 95 + ((-1)/2)/(1/(-2))?
True
Let p = 18 + -59. Let d = p - -76. Is 12 a factor of d?
False
Let j(x) = 7*x**2 + 3*x - 2. Is j(1) a multiple of 8?
True
Let f be (-6)/((-6)/(-8)*-2). Does 3 divide 7 - (-1 + f + -2)?
True
Let c(w) = 3*w**2. Let q be c(-1). Does 5 divide (-2)/q*(5 + -29)?
False
Let h(c) be the second derivative of -c**5/20 + c**4/6 - c**3/6 - c**2/2 - c. Let j be h(2). Does 3 divide 6/j - (-5)/1?
True
Suppose -4*k + 6*k + 2*n - 44 = 0, 3*k - 5*n = 50. Is (64/k)/((-2)/(-5)) a multiple of 8?
True
Let v(g) = -g**3 + 5*g**2 + 5*g + 4. Let h be v(6). Let y = 1 - h. Suppose -2*c - 5 - y = 0, 0 = -n - 2*c + 4. Is 12 a factor of n?
True
Let i = 317 - 75. Is 11 a factor of i?
True
Does 17 divide ((-93)/4)/((-6)/16)?
False
Suppose -144 = -0*j - 2*j + 4*v, 0 = -2*v + 6. Does 13 divide j?
True
Suppose 5*f = 689 - 49. Is f a multiple of 28?
False
Let b = -19 - -21. Is 2 a factor of (-1)/b + (-36)/(-8)?
True
Let y = -3 + 6. Let g(r) = r + 4. Let j be g(y). Suppose -5*m = -w + 51, j*m - 4*m = -5*w + 115. Is 9 a factor of w?
False
Suppose g + g - 70 = 3*h, 4*h = -5*g + 198. Does 38 divide g?
True
Suppose 3*j = 14 - 5, -273 = -5*u - j. Is 6 a factor of u?
True
Is 13 a factor of 1/(2/(-5) + (-1449)/(-3510))?
True
Let c(s) = -s**3 + 7*s**2 + 7*s + 11. Let r be c(8). Let t be 2*r/(-6)*0. Does 3 divide t + 1 - -6 - 2?
False
Let o be (-27)/(-6) + (-6)/(-4). Suppose 5*d + 2*k - 39 = 0, 2*d - 6 = -o*k + 2*k. Is d a multiple of 6?
False
Let h = 137 - -54. Is 44 a factor of h?
False
Let j be ((-5)/2)/((-1)/2). Suppose -2*b = b + 5*g + 4, -j*g = 2*b + 1. Let m = 15 - b. Is m a multiple of 18?
True
Suppose 2*q + 5*d - 95 + 5 = 0, -2*d = 0. Suppose -4*o - o + q = 0. Suppose j - 5 = o. Is j a multiple of 5?
False
Suppose -2*m = 5*s - m - 595, -4*m = 20. Suppose 0 = -11*u + 7*u + s. Does 10 divide u?
True
Let t = 10 - 2. Does 9 divide (13/4 - 0)*t?
False
Let g be 6 - (-3 - -1 - -3). Suppose g*h - h = 32. Does 6 divide h?
False
Let o(x) = -4*x**3 + 4*x**2 + 2*x - 2. Let w be o(-2). Suppose 4*m - 34 - w = 0. Does 6 divide m?
False
Suppose 0 = p - 15 - 15. Suppose d = 2*i - 46, -42 = -4*i - 3*d + p. Is 7 a factor of i?
True
Let w = 12 - 4. Let p = -2 + w. Does 3 divide p?
True
Suppose -13*a + 594 = -10*a. Is 33 a factor of a?
True
Let r(v) be the first derivative of 29*v**2/2 - v - 2. Let n be r(1). Suppose -k = k - n. Is 13 a factor of k?
False
Suppose 60 = s + 3*s. Is s a multiple of 5?
True
Let p(a) = 12*a - 10. Let r be p(9). Suppose 4*s = -4*t + 876, -t - 5*s + 2*s = -227. Suppose -2*q + r = 4*o, 4*q + 3*o - t + 34 = 0. Is q a multiple of 12?
False
Let z be 3/(1/(0 - -1)). Suppose k - 4 = -5, 4*l - z*k + 21 = 0. Does 6 divide ((-18)/(-4))/(l/(-8))?
True
Let k(o) = 9*o + 2. Let j be k(7). Let r = j - 46. Does 19 divide r?
True
Let c(n) = n**3 + 8*n**2 + 3. Let r be c(-8). Let m be 9 + (-9)/r + 3. Is 2 a factor of (m/(-6))/((-6)/8)?
True
Suppose g - 4*m + 15 = 0, 3*g + 5*m - 18 = 4*g. Let w = 14 - g. Let x = w + 9. Is 13 a factor of x?
True
Let q(x) = -x**3 + 6*x**2 - 5*x - 2. Let y be q(5). Is 8 a factor of (-6 + 5)/(y/30)?
False
Let y = 28 + -14. Let o = 0 + y. Is 4 a factor of o?
False
Let r(v) = -5*v - 3. Suppose -3*a + 10 = -14. Let o = 4 - a. Is r(o) a multiple of 6?
False
Suppose 3*y - 44 = -y + 4*q, 15 = 2*y + 5*q. Is y a multiple of 5?
True
Is (-14)/(-4)*10/5 a multiple of 3?
False
Suppose -19 = -f + 4*a - a, 5*f - 2*a = 43. Suppose -f = -2*z + 1. Suppose 10 = w + 4*x, -x = -5*x - z. Is w a multiple of 8?
False
Is 25 a factor of 2 + 588/8 - 2/4?
True
Let t = 47 - 15. Is 8 a factor of t?
True
Let s = 18 + -13. Is s even?
False
Let u(f) = 49*f - 2. Is 23 a factor of u(3)?
False
Let w = 422 + -296. Is 18 a factor of w?
True
Let t = -17 + 46. Let a = t + 7. Does 18 divide a?
True
Let b be (-15)/(-4) + (-2)/(-8). Suppose -i + b*i + 342 = 0. Does 14 divide (i/4)/(6/(-8))?
False
Suppose -2*a + 33 + 75 = -2*u, 0 = 2*a - 3*u - 111. Is 9 a factor of a?
False
Let f = -55 - -84. Does 26 divide f?
False
Suppose 5*z = -4*w - 5 + 122, z + 55 = 2*w. Is w even?
True
Let g(v) = v**2 + 16*v + 5. Is 11 a factor of g(-17)?
True
Let q(d) = -d**2 + 6*d + 2. Let a be q(6). Suppose 0 = a*c + f + 3*f - 70, -4*c + 2*f = -140. Is c a multiple of 13?
False
Let m(a) = -a + 1. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
o**6/15 - o**4/8 - 219*o**3 + 237*o**2 - 3*o. Differentiate h(l) wrt l.
-192*l**2 - 3
Let o(s) = 2*s**2 + 13*s + 4. Let y be o(-6). Let g be (-1)/y*5*(-56)/(-10). What is the second derivative of -g*h + 6*h**2 + 194 - 194 wrt h?
12
Let p(x) be the first derivative of x**4/2 + 5*x**3/3 + x**2 + 36*x - 225. Find the second derivative of p(n) wrt n.
12*n + 10
Suppose 10*x - 74 - 186 = 0. Find the third derivative of x*j**2 + 7 - 7 - 23*j**4 + 18*j**2 - 2*j**3 wrt j.
-552*j - 12
Suppose -163 - 67 = -10*g. Suppose 72 = 27*v - g*v. Find the second derivative of -5*n**5 - v*n + 17*n**5 + 28*n + 8*n wrt n.
240*n**3
What is the second derivative of 2815*c + 4582*c**5 + 925*c - 3498*c**5 + 7839*c**5 wrt c?
178460*c**3
Let j(x) = -5*x**3 + 11*x**2 - 86*x + 2147. Let y(w) = 3*w**3 - 6*w**2 + 40*w - 1075. Let d(v) = 6*j(v) + 11*y(v). What is the derivative of d(r) wrt r?
9*r**2 - 76
Let c(i) be the first derivative of -i**6/3 + 648*i**5/5 + i**3/3 - 959*i + 1052. What is the third derivative of c(w) wrt w?
-120*w**2 + 15552*w
What is the derivative of y + 20*y**3 - 3*y**3 + 312 - 102*y**2 - 217*y**4 + 0*y**3 + 102*y**2 wrt y?
-868*y**3 + 51*y**2 + 1
Let a(h) be the second derivative of -76*h**7/7 + h**6/30 + 3*h**4/4 + 25*h**3/3 - 22*h - 69. What is the third derivative of a(w) wrt w?
-27360*w**2 + 24*w
Differentiate -13492 + 14934 + 419*n**3 + 283*n**3 with respect to n.
2106*n**2
Let a(k) be the third derivative of 0*k**3 + 0*k**4 + 4/21*k**7 + 0*k**6 + 23/60*k**5 + 0 + 0*k + 52*k**2. Find the third derivative of a(m) wrt m.
960*m
What is the second derivative of -109617*h**4 + 108540*h**4 + 0*h**2 + 3175*h + 0*h**2 wrt h?
-12924*h**2
Find the first derivative of 3*x**3 + 10*x**3 + 5924 + 12*x**3 - 156*x + 307*x + x**2 - 147*x wrt x.
75*x**2 + 2*x + 4
Let j be (-24)/(-36)*6*22. What is the first derivative of -j + 0 - 60 - 200*b + 1 wrt b?
-200
Suppose -3*q = 4*q - 14. Suppose -4*w = 3*b - 20, q = 4*b - 2*w - 10. Find the second derivative of -2*f + 33*f**4 + 5*f - 9*f**b - 2*f wrt f.
288*f**2
Let n(u) be the first derivative of 1447*u**3 + 852*u**2 - 4234. Find the second derivative of n(q) wrt q.
8682
Let d(c) be the third derivative of -88*c**8/21 + 71*c**4/12 + 5*c**3/6 + 287*c**2. Find the second derivative of d(m) wrt m.
-28160*m**3
Let h(m) = -35*m - 21. Let u(b) = -b + 3. Let q = -106 - -105. Let i(r) = q*h(r) - 28*u(r). Find the first derivative of i(w) wrt w.
63
Let z(v) be the second derivative of 63*v**6/2 - 11*v**3/3 - 43*v + 8. What is the second derivative of z(k) wrt k?
11340*k**2
Let v = 39 + -19. Suppose -8*r = -13*r + v. Find the third derivative of 12*w**6 + 19*w**2 - 3*w**4 - r*w**6 + 3*w**4 wrt w.
960*w**3
Let r(b) be the second derivative of 1474*b**3/3 + 2617*b**2 + 10260*b. What is the first derivative of r(f) wrt f?
2948
Suppose 2*z + 4*p = 44 + 6, -4*z + 2*p + 70 = 0. Find the first derivative of z*a + 5 + 24 - 72*a + 8 - 128*a wrt a.
-181
Suppose 2*y - 8 = 0, 0 = -t + 6*t - 4*y - 4. What is the first derivative of g**3 - 5 - 5*g**2 - 32 - t + 2*g**3 wrt g?
9*g**2 - 10*g
Let k(g) be the second derivative of g**8/4 + 2*g**6/15 - 1273*g**4/6 + 47*g. What is the third derivative of k(n) wrt n?
1680*n**3 + 96*n
Suppose 112 = 69*q - 55*q. Let t be 9/(-2)*(-2)/3. Find the second derivative of q*w**3 + 0*w**t - w**3 + 17*w - 5*w wrt w.
42*w
Let x(l) = -242 + 80*l + 3*l - 48*l + 280*l. Let p(u) = -79*u + 60. Let s(a) = -9*p(a) - 2*x(a). Differentiate s(g) with respect to g.
81
Let n = 242 - 238. Find the third derivative of -6*z**3 + 93*z**2 - 197*z**2 + z**4 + 0*z**n wrt z.
24*z - 36
Let f = 712 + -692. What is the first derivative of 80*x + 31 - 77 - 58 - 19*x - f wrt x?
61
Let o = 160 + -158. Differentiate 30 + 104*h**o - 104*h**2 + 15*h**4 wrt h.
60*h**3
What is the third derivative of 16557 - 33106 + 14634*g**2 + 1651*g**3 + 16549 wrt g?
9906
Let m(i) be the second derivative of 76/3*i**4 - 4 - 5*i + 49/6*i**3 + 1/2*i**2. Find the second derivative of m(d) wrt d.
608
Let u(o) be the second derivative of 4898*o**6/15 - 5*o**3/6 + 85*o**2 + 8873*o. Find the second derivative of u(y) wrt y.
117552*y**2
Suppose 156 = 3*a - 3*t, -2*t + 104 = 2*a + 3*t. Let i = a - 46. Find the third derivative of 68*h - 6*h**i - 4*h**2 - 68*h wrt h.
-720*h**3
Suppose -220 + 50 = 5*g. Let y = 36 + g. What is the third derivative of 13*d**y + 0*d**6 + 3*d**6 + 12*d**6 wrt d?
1800*d**3
Suppose -28*z = -141*z + 110 + 116. Let m(b) be the first derivative of -8 - 25/3*b**3 + 9/2*b**z + 0*b. What is the second derivative of m(
|
{
"pile_set_name": "DM Mathematics"
}
|
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