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ed without replacement from {s: 15, z: 4}?
455/3876
Two letters picked without replacement from {d: 1, w: 2, q: 2}. Give prob of sequence dq.
1/10
Two letters picked without replacement from fqcorqrsrrfq. Give prob of sequence co.
1/132
What is prob of sequence ggv when three letters picked without replacement from gknssksgkv?
1/360
Two letters picked without replacement from hxxmffffhtatmmhxfxfm. What is prob of sequence fx?
6/95
Two letters picked without replacement from gppppppgpyppfsb. What is prob of sequence yb?
1/210
Calculate prob of sequence vll when three letters picked without replacement from {f: 8, v: 2, l: 9}.
8/323
Four letters picked without replacement from {w: 2, k: 3, f: 2, h: 8, u: 2, c: 2}. What is prob of sequence ufuk?
1/7752
What is prob of sequence jjqj when four letters picked without replacement from jjjjjqjj?
1/8
Calculate prob of sequence jj when two letters picked without replacement from {d: 2, j: 2, x: 4, s: 1}.
1/36
Two letters picked without replacement from {z: 4, o: 1, f: 2, e: 4}. What is prob of sequence of?
1/55
Two letters picked without replacement from vfuficffvc. Give prob of sequence fv.
4/45
Calculate prob of sequence rjr when three letters picked without replacement from jddhjhrrdjd.
1/165
What is prob of sequence cyv when three letters picked without replacement from {v: 3, y: 1, c: 1}?
1/20
Four letters picked without replacement from ovgvogvvvvggoggovvvv. What is prob of sequence govo?
2/323
Four letters picked without replacement from {f: 1, w: 8, l: 4}. What is prob of sequence wlww?
56/715
Four letters picked without replacement from xcdmmdscmcxxxm. What is prob of sequence cmcx?
4/1001
Calculate prob of sequence fcfu when four letters picked without replacement from cufcufucfccccfccuvc.
5/969
Two letters picked without replacement from rraqqrryovqqryo. Give prob of sequence qa.
2/105
Calculate prob of sequence bp when two letters picked without replacement from {p: 2, r: 2, b: 1}.
1/10
Calculate prob of sequence zlvp when four letters picked without replacement from yvzprzl.
1/420
Calculate prob of sequence gg when two letters picked without replacement from {d: 7, g: 6}.
5/26
What is prob of sequence bm when two letters picked without replacement from zzzmmbbzbbz?
4/55
Four letters picked without replacement from {y: 3, i: 1, r: 1, o: 2}. Give prob of sequence oooy.
0
Two letters picked without replacement from vqvqqqvvqqqvq. What is prob of sequence qq?
14/39
What is prob of sequence gl when two letters picked without replacement from llgyl?
3/20
What is prob of sequence ahsh when four letters picked without replacement from {c: 3, u: 2, b: 1, s: 3, h: 3, a: 1}?
3/2860
Three letters picked without replacement from fhhfhfh. What is prob of sequence fhf?
4/35
Two letters picked without replacement from {e: 1, h: 9, u: 2, o: 1}. What is prob of sequence ou?
1/78
What is prob of sequence vv when two letters picked without replacement from vvvvvvvvvvvvyzwvzvw?
91/171
Two letters picked without replacement from {l: 1, v: 2, e: 2}. What is prob of sequence lv?
1/10
What is prob of sequence ug when two letters picked without replacement from khhguhg?
1/21
Four letters picked without replacement from {b: 8, r: 2, y: 5}. What is prob of sequence yyrr?
1/819
What is prob of sequence tylt when four letters picked without replacement from {t: 3, y: 2, q: 2, l: 2}?
1/126
What is prob of sequence xkxe when four letters picked without replacement from {x: 2, e: 2, k: 1}?
1/30
Four letters picked without replacement from jxpxk. Give prob of sequence xkpx.
1/60
What is prob of sequence mf when two letters picked without replacement from fmfmtkb?
2/21
Two letters picked without replacement from {n: 1, s: 1, f: 1}. What is prob of sequence ns?
1/6
Two letters picked without replacement from tbbtbtbbtbbbt. Give prob of sequence tt.
5/39
Four letters picked without replacement from {x: 4, k: 6, g: 3}. What is prob of sequence ggxk?
6/715
Two letters picked without replacement from {o: 1, m: 1, e: 1, j: 1, h: 1, w: 2}. Give prob of sequence me.
1/42
Two letters picked without replacement from {b: 9, u: 10}. What is prob of sequence ub?
5/19
Calculate prob of sequence nbg when three letters picked without replacement from bnybnggynnbnnnngn.
27/1360
What is prob of sequence fww when three letters picked without replacement from wannwnwaafwawnwan?
1/136
Four letters picked without replacement from {x: 1, c: 1, y: 1, e: 4, r: 1}. Give prob of sequence rxye.
1/420
Calculate prob of sequence dxzz when four letters picked without replacement from {x: 10, d: 4, z: 5}.
25/2907
Calculate prob of sequence feii when four letters picked without replacement from fieesfeiiiiiiififsss.
12/1615
Three letters picked without replacement from {j: 9, g: 9}. What is prob of sequence jjg?
9/68
What is prob of sequence chm when three letters picked without replacement from {v: 1, h: 1, l: 1, c: 1, m: 1}?
1/60
What is prob of sequence my when two letters picked without replacement from {y: 13, m: 3}?
13/80
Three letters picked without replacement from {v: 5, d: 5, x: 2, e: 5}. Give prob of sequence xdd.
1/102
Four letters picked without replacement from {f: 12, j: 1}. What is prob of sequence jfff?
1/13
Three letters picked without replacement from tbtbtbttttb. What is prob of sequence btb?
14/165
Four letters picked without replacement from kjjlxkkpxvxk. What is prob of sequence xplj?
1/1980
Four letters picked without replacement from {c: 2, w: 2, f: 1, l: 4}. Give prob of sequence lfwc.
1/189
What is prob of sequence www when three letters picked without replacement from wwnnyywnwwwwyy?
5/52
Two letters picked without replacement from {x: 3, z: 7}. Give prob of sequence xx.
1/15
What is prob of sequence cds when three letters picked without replacement from sdsdcdcsdssd?
5/132
Two letters picked without replacement from {b: 1, z: 1, e: 1, x: 2, m: 1, t: 1}. Give prob of sequence zb.
1/42
Three letters picked without replacement from uejbbjjxxjeexxbuxx. What is prob of sequence euu?
1/816
Calculate prob of sequence ddss when four letters picked without replacement from {s: 7, d: 4}.
7/110
Four letters picked without replacement from xxxxxxxxxxvxvxvx. What is prob of sequence xvxv?
3/140
Two letters picked without replacement from lllhhll. Give prob of sequence ll.
10/21
Two letters picked without replacement from {k: 5, w: 1, l: 3, h: 1}. Give prob of sequence hk.
1/18
Calculate prob of sequence cccc when four letters picked without replacement from ccccccc.
1
Calculate prob of sequence oq when two letters picked without replacement from vzoqzvvvqvv.
1/55
Three letters picked without replacement from {b: 1, k: 2, s: 8, v: 7, z: 2}. What is prob of sequence kzv?
7/1710
What is prob of sequence bbx when three letters picked without replacement from xxxbbbxbbbxbxxxbbxb?
45/323
Two letters picked without replacement from {i: 1, s: 1, q: 2}. What is prob of sequence sq?
1/6
What is prob of sequence llja when four letters picked without replacement from jjluajvaalg?
1/440
Two letters picked without replacement from {f: 1, t: 1, b: 2, z: 1, l: 1, v: 1}. Give prob of sequence vf.
1/42
Two letters picked without replacement from {w: 4, l: 2, q: 1}. Give prob of sequence wl.
4/21
What is prob of sequence ww when two letters picked without replacement from {g: 5, j: 3, c: 6, p: 1, w: 3}?
1/51
Four letters picked without replacement from uuxujuxujyxujujyuuj. What is prob of sequence uyxy?
3/5168
Calculate prob of sequence tu when two letters picked without replacement from {u: 2, m: 5, h: 1, c: 1, t: 7, z: 1}.
7/136
Calculate prob of sequence nn when two letters picked without replacement from ncnncnnnnnnnn.
55/78
What is prob of sequence gg when two letters picked without replacement from ygggggy?
10/21
Three letters picked without replacement from {v: 1, w: 3, x: 2, f: 4}. Give prob of sequence wvf.
1/60
Two letters picked without replacement from gmrmggmgmmmrbggggg. Give prob of sequence gm.
3/17
What is prob of sequence vvvv when four letters picked without replacement from {v: 9}?
1
Calculate prob of sequence yll when three letters picked without replacement from {l: 2, y: 3, i: 8, a: 4}.
1/680
Three letters picked without replacement | {
"pile_set_name": "DM Mathematics"
} |
0.
1/2770
Calculate -28044 divided by 36.
-779
-33671 divided by 8
-33671/8
What is -81 divided by -1847?
81/1847
-626007 divided by -2939
213
Divide -34 by -151.
34/151
What is -646505 divided by 129301?
-5
-1566807 divided by 19833
-79
Divide -22040 by -380.
58
-14 divided by -224
1/16
-1052725 divided by -17
61925
-2372031 divided by -263559
9
Divide -813030 by -15.
54202
What is 1515676 divided by 378919?
4
Calculate 778379 divided by -1.
-778379
What is 6 divided by -748742?
-3/374371
-3946107 divided by -591
6677
What is 418048 divided by 4544?
92
Calculate -2164156 divided by 4.
-541039
Divide 2132628 by -6.
-355438
What is 1855035 divided by 4077?
455
-3917051 divided by -6673
587
Calculate 471753 divided by -2967.
-159
What is -5136 divided by 4?
-1284
Calculate 4 divided by 88106.
2/44053
Calculate -1753786 divided by -3.
1753786/3
4298 divided by -3
-4298/3
-5 divided by 3043
-5/3043
What is 15288 divided by -196?
-78
What is -607 divided by -912?
607/912
-409577 divided by -58511
7
249655 divided by -49
-5095
Calculate -42705 divided by 15.
-2847
Divide 7 by -135343.
-7/135343
Divide 4 by 228610.
2/114305
What is 291 divided by 139?
291/139
-2698 divided by 121
-2698/121
Divide 44 by 18292.
11/4573
359562 divided by -3
-119854
What is -19659 divided by -6553?
3
What is -159 divided by 24480?
-53/8160
Calculate 166 divided by -1975.
-166/1975
27552 divided by 2296
12
Divide 40502 by 1841.
22
31511 divided by -8
-31511/8
Divide -3961405 by 1.
-3961405
What is 88659 divided by -29553?
-3
189407 divided by 1
189407
Calculate 4958 divided by 4958.
1
-143988 divided by 2769
-52
Calculate -73959 divided by 267.
-277
Calculate -1084 divided by 271.
-4
-39 divided by 61186
-39/61186
Calculate 130944 divided by -744.
-176
Divide 18 by -2834.
-9/1417
-64785 divided by 2
-64785/2
4100220 divided by 15
273348
What is -13339 divided by 13339?
-1
Calculate -101186 divided by -50593.
2
Calculate 16730 divided by -1673.
-10
What is -94775 divided by 5575?
-17
Divide 620964 by 620964.
1
What is -31 divided by -1068?
31/1068
What is -3718 divided by 32?
-1859/16
44190 divided by -6
-7365
Divide 1020436 by 255109.
4
Calculate -3 divided by -207638.
3/207638
374 divided by 169
374/169
Calculate 2 divided by -700.
-1/350
Divide 23130 by 90.
257
Divide -10 by -370.
1/37
Calculate 528891 divided by -6.
-176297/2
Calculate -464 divided by -1586.
232/793
What is -1558 divided by -1213?
1558/1213
Divide -8 by -5096.
1/637
Calculate -75955 divided by -55.
1381
What is -177984 divided by 618?
-288
-60543 divided by -1
60543
What is -158300 divided by -1?
158300
What is -23725 divided by -325?
73
-916656 divided by -339
2704
What is -156816 divided by 324?
-484
-3 divided by -97040
3/97040
Calculate 88897 divided by -2.
-88897/2
1395018 divided by -5
-1395018/5
-85155 divided by 5
-17031
Divide -27 by 28264.
-27/28264
Calculate -1277 divided by -2.
1277/2
535238 divided by -4
-267619/2
What is 5 divided by -161036?
-5/161036
Calculate -24492 divided by 26.
-942
Divide 100032 by 6.
16672
Calculate -2 divided by 26752.
-1/13376
-449702 divided by -2
224851
Divide 2 by 765411.
2/765411
What is -5 divided by -614883?
5/614883
18592 divided by 2
9296
What is 326 divided by -49?
-326/49
Divide -2533092 by 29.
-87348
What is 41580 divided by 3780?
11
What is -2125329 divided by -708443?
3
Divide 11627 by -40.
-11627/40
Divide -1330060 by 10.
-133006
What is 160 divided by -14312?
-20/1789
What is -5210460 divided by 4?
-1302615
Calculate -29 divided by 574.
-29/574
-10535 divided by -245
43
Divide 4 by -4500.
-1/1125
What is -102 divided by -3555?
34/1185
What is 375875 divided by 10?
75175/2
Divide -14 by -1558.
7/779
Calculate 20 divided by 5937.
20/5937
-1362 divided by 150
-227/25
Divide 385100 by 2.
192550
55536 divided by -4628
-12
Calculate 22624 divided by -3.
-22624/3
Divide -77376 by 403.
-192
262476 divided by -828
-317
Divide -1750852 by -437713.
4
-1505480 divided by 4
-376370
Calculate -190 divided by 118.
-95/59
Calculate 243285 divided by 2317.
105
Calculate 167587 divided by 1.
167587
Divide 2695 by -29.
-2695/29
Divide -502016 by 256.
-1961
Divide 0 by 423.
0
Calculate 14988 divided by 31.
14988/31
-22 divided by 42148
-11/21074
42632 divided by -11
-42632/11
199 divided by 724
199/724
11764 divided by 2
5882
Calculate -4 divided by 163446.
-2/81723
Divide 6 by 2856.
1/476
-10208 divided by 4
-2552
Calculate 3995928 divided by 72.
55499
What is -177299 divided by 2?
-177299/2
What is -375112 divided by -93778?
4
416142 divided by -2
-208071
18612 divided by -282
-66
Calculate 162195 divided by -6.
-54065/2
Calculate 21321 divided by 927.
23
16470 divided by 1830
9
Calculate -7771 divided by -40.
7771/40
What is -1333124 divided by -6?
666562/3
What is -1828421 divided by -6?
1828421/6
Divide -1564269 by -7.
223467
Divide -127 by -4106.
127/4106
What is -4 divided by -22355?
4/22355
What is 3 divided by -388?
-3/388
2 divided by -1052238
-1/526119
Divide 1038060 by -346020.
-3
What is 46 divided by 192?
23/96
Calculate -465024 divided by 168.
-2768
-290 divided by -39
290/39
4425 divided by 3
1475
What is -6 divided by -37140?
1/6190
-977325 divided by 195465
-5
What is -1259 divided by 331?
-1259/331
Calculate 1990 divided by -72.
-995/36
Calculate -5 divided by -427.
5/427
Divide -2355925 by 181225.
-13
Divide -5373 by 54.
-199/2
Calculate 4720 divided by 2.
2360
What is -4 divided by -35542?
2/17771
Divide -7 by 78.
-7/78
Calculate 10917 divided by 3639.
3
Divide 0 by 4790.
0
What is -3 divided by 1313?
-3/1313
-518436 divided by -4
129609
Divide -24682 by -301.
82
What is 237084 divided by -276?
-859
Calculate -340648 divided by 1.
-340648
Divide -108 by 738.
-6/41
What is -79 divided by -1642?
79/1642
Divide -44886 by 3.
-14962
Divide 14653 by -8.
-14653/8
Divide -707880 by -235960.
3
Calculate -222464 divided by -704.
316
What is -57408 divided by -6?
9568
1566684 divided by 522228
3
Divide 14 by -1919.
-14/1919
Calculate -1 divided by -75054.
1/75054
Divide -896 by 8.
-112
Calculate 252 divided by 13.
252/13
Calculate -4 divided by -29159.
4/29159
What is -479910 divided by -170?
2823
-214 divided by 15735
-214/15735
What is 13934 divided by 35?
13934/35
What is -3 divided by 15674?
-3/15674
Divide 1010 by -91.
-1010/91
Divide -9 by -55246.
9/55246
Divide -1134 by 74.
-567/37
265785 divided by 377
705
What is 1510 divided by 58?
755/29
-1 divided by -654
1/654
What is -15537 divided by -3?
5179
Calculate -3 divided by 13325.
-3/13325
Divide -222 by 1034.
-111/517
4 divided by 266547
4/266547
What is -53868 divided by -12?
4489
What is 29459 divided by 35?
29459/35
Divide -172150 by 5.
-34430
Calculate -107151 divided by -6.
35717/2
Divide -39752 by -8.
4969
What is 97857 divided by -747?
-131
178 divided by -55
-178/55
Divide -1155874 by 4.
-577937/2
What is 3881 divided by -4?
-3881/4
What is 624 divided by 1492?
156/373
Calculate 158974 divided by -5.
-158974/5
Calculate -129341 divided by -29.
129341/29
-23670 divided by 3945
-6
535092 divided by 68
7869
Calculate 14700 divided by 2.
7350
149947 divided by 5
149947/5
What is -82427 divided by -3?
82427/3
Divide -468765 by 42615.
-11
4750 divided by -44
-2375/22
What is 821470 divided by -13?
-63190
Divide -304095 by -5.
60819
Calculate -5863 divided by -41.
143
What is 14 divided by -23563?
-14/23563
Divide 26 by -3083.
-26/3083
Calculate 193465 divided by -1.
-193465
12206 divided by 718
17
-20106 divided by 3351
-6
What is -398450 divided by -398450?
1
82525 divided by -4
-82525/4
13 divided by -7043
-13/7043
What is 35 divided by -270?
-7/54
Divide -11598 by -1.
11598
Divide 10582 by 4.
5291/2
What is 17934 divided by -2?
-8967
Calculate -3 divided by -228328.
3/228328
Divide -120 by -346.
60/173
Divide 29 by 572.
29/572
150976 divided by -2
-75488
What is -17544 divided by -1462?
12
Calculate 530026 divided by -262.
-2023
Divide -4 by 3026.
-2/1513
-122 divided by -638
61/319
What is -14 divided by 6783?
-2/969
Divide 0 by -176159.
0
3 divided by 6163
3/6163
What is -81271 divided by 67?
-1213
Calculate 477 divided by -129.
-159/43
What is 340326 divided by 24309?
14
Divide 3 by 320574.
1/106858
Divide 84246 by 114.
739
Calculate -35856 divided by 8964.
-4
Calculate -1002640 divided | {
"pile_set_name": "DM Mathematics"
} |
4
Let v(q) = q. Let y(k) = 814469*k. Calculate v(y(o)).
814469*o
Let m(n) = 4*n. Suppose 12 = -5*a - 5*g + 27, 0 = 5*a + 2*g - 12. Let i(w) be the third derivative of 0*w**3 + w**a + 0*w - 1/24*w**4 + 0. What is m(i(h))?
-4*h
Let n(h) = -3*h. Let k(r) = 153205*r. Determine n(k(f)).
-459615*f
Let g(a) = 9*a**2 + 16*a. Let b(l) = -23982*l + 23986*l - 1 + 1. Calculate g(b(k)).
144*k**2 + 64*k
Let y(r) = -r - 21003. Let b(i) = -73*i. Give b(y(o)).
73*o + 1533219
Let c(h) = 12*h. Let n(g) = 2*g - 423. What is c(n(u))?
24*u - 5076
Let i(j) = j. Let p(x) = 16*x. Let n(a) = -2*a. Let s(z) = 6*n(z) + p(z). Give s(i(m)).
4*m
Let z(t) = t**2. Let j(g) = 26*g + 1133. Give j(z(i)).
26*i**2 + 1133
Let y(p) = 10*p**2. Let k(m) be the first derivative of -20*m**3/3 - 100. What is k(y(j))?
-2000*j**4
Let g(x) = -4376*x - 12. Let z(f) = -f. Give z(g(c)).
4376*c + 12
Let i(y) = 334 - 3*y**2 - 171 + 5*y**2 - 163. Let g(w) be the third derivative of -7*w**5/60 - w**2. Determine g(i(r)).
-28*r**4
Let q(f) = 3*f. Let v(z) be the second derivative of -14*z + 0*z**2 - 2/3*z**3 + 0. Give v(q(a)).
-12*a
Let m(t) = 3*t**2. Suppose -30 = -6*f - 18. Let r(k) = -7*k**2 + 0*k**f - 10*k**2 + 19*k**2. Determine r(m(s)).
18*s**4
Suppose -3*d - 2*d = -10. Let s(g) = 2*g**d - 13 + 13 - g**2. Let a(j) = -j**2. What is a(s(q))?
-q**4
Let r(h) = 11*h. Let f(d) = -2748*d. Calculate f(r(u)).
-30228*u
Let a = 31 + -29. Let o(c) = -c**2 + a*c**2 + 20 - 20. Let z(j) = -11*j**2. Determine z(o(m)).
-11*m**4
Let b(v) be the third derivative of -v**7/2520 + v**4/12 + 6*v**2. Let p(g) be the second derivative of b(g). Let w(f) = -f**2 + 2. Calculate w(p(q)).
-q**4 + 2
Let z(f) = 5*f - 14. Let j(y) = -7*y + 19. What is z(j(b))?
-35*b + 81
Let c(k) be the second derivative of -21*k**3/2 + 502*k. Let h(z) = 7*z. What is h(c(p))?
-441*p
Let o(b) = -301*b**2 + 119. Let u(i) = 15*i**2 - 6. Let g(p) = -6*o(p) - 119*u(p). Let c(a) be the second derivative of -a**4/6 - 33*a - 5. Give g(c(l)).
84*l**4
Let g(y) be the first derivative of 2 - 22/3*y**3 + 0*y + 0*y**2. Let r(z) = 2*z. What is r(g(p))?
-44*p**2
Let j(m) = 2*m**2. Let w(h) = 80*h + 316*h - 192 + 192. Determine j(w(t)).
313632*t**2
Let k(l) = -3*l. Let g(i) = -6*i. Let b(d) = -4*g(d) + 9*k(d). Let j(c) = 5*c**2. Calculate b(j(m)).
-15*m**2
Let p(w) = 2*w**2 - 5*w. Let h(m) = -2*m**2 + 3*m. Let a(s) = 5*h(s) + 3*p(s). Let f(u) = 19*u. Give f(a(l)).
-76*l**2
Let k(x) = -4*x**2. Let z(y) be the third derivative of -y**7/1260 + 37*y**5/60 + 20*y**2. Let t(w) be the third derivative of z(w). Give t(k(o)).
16*o**2
Let n(a) = -2*a. Let w be (5/10)/(-1)*-8. Let x(s) = w*s**2 - 168 + 168. Calculate n(x(k)).
-8*k**2
Let p(m) be the second derivative of 141*m**3/2 - 3*m - 197. Let f(d) = 2*d. Give f(p(q)).
846*q
Let o(i) = -3*i. Let w(a) = 110279*a. Calculate w(o(q)).
-330837*q
Let y(s) = 2*s**2. Let r(m) = -m**2 + 3*m + 3. Let j(l) = 2*l**2 - 4*l - 4. Let t = -20 + 6. Let u = -17 - t. Let z(n) = u*j(n) - 4*r(n). Give z(y(c)).
-8*c**4
Let j(b) = 20*b**2. Let y(u) = -37767*u. Determine j(y(i)).
28526925780*i**2
Let o(r) = 18*r**2 + 2*r. Let t(v) = 2*v**2 + 20*v - 5. Let z(m) = -3*m**2 - 36*m + 9. Let h(w) = -9*t(w) - 5*z(w). What is h(o(b))?
-972*b**4 - 216*b**3 - 12*b**2
Let g(a) = 5*a**2. Let p(n) = 11*n**2 + 20*n - 5. Let v(q) = -6*q**2 - 8*q + 2. Let f(d) = -2*p(d) - 5*v(d). What is g(f(y))?
320*y**4
Let t(s) = 29*s**2. Let k(i) = 4*i**2 - 3. Let a(n) be the first derivative of -n**3 + 2*n - 1. Let c(v) = -3*a(v) - 2*k(v). Give c(t(x)).
841*x**4
Let u(q) = -q. Let g(o) = 1040618*o**2. What is g(u(c))?
1040618*c**2
Let m(u) = -u**2. Let k(s) = -s**2 + 2*s - 1. Let w(f) = -74*f**2 - 10*f + 5. Let i(q) = 5*k(q) + w(q). What is m(i(n))?
-6241*n**4
Let w(c) = c**2. Let y(v) = -74*v - 3*v**2 - 117*v + 63*v + 2*v**2. Calculate w(y(o)).
o**4 + 256*o**3 + 16384*o**2
Let k(p) = -931*p. Let g(h) be the first derivative of h**3/3 + 93. What is k(g(a))?
-931*a**2
Let u(f) = -294*f + 394. Let h(t) = -6*t**2. Give u(h(q)).
1764*q**2 + 394
Let q(w) be the third derivative of -47*w**4/24 - 6*w**2 + 15. Let s(y) = y**2. Determine q(s(g)).
-47*g**2
Let r(u) = 20*u**2 - 12*u**2 - 9*u**2. Let j be 2 - 3 - (-1 - 2). Let s(t) = 3 - 1 + 2*t**j - 2. Calculate s(r(q)).
2*q**4
Let z(p) = -2*p**2 + 29*p. Let b(s) = 5*s - 6. Give z(b(q)).
-50*q**2 + 265*q - 246
Let r be ((-15)/(-9))/(3/9). Let g(s) = -7*s. Let k(j) = -8*j. Let h(f) = r*k(f) - 6*g(f). Let q(n) = -4*n**2. Give q(h(z)).
-16*z**2
Let j(r) = -7 - 2*r + 7. Let k(i) = 156*i**2 - 36*i**2 - 55*i**2. Calculate j(k(p)).
-130*p**2
Let t(a) = -3*a**2 - 96*a - 19. Let x(b) = 2*b**2. What is t(x(s))?
-12*s**4 - 192*s**2 - 19
Let c(r) = -8*r - 33. Let d(o) = 3*o + 12. Let y(p) = -4*c(p) - 11*d(p). Let a(n) = 326*n. Calculate y(a(i)).
-326*i
Let l(t) = -2*t. Let v(o) be the third derivative of -o**5/120 + 7*o**3/6 - 13*o**2. Let d(w) be the first derivative of v(w). Calculate d(l(j)).
2*j
Let t(j) = -175 + 17*j + 178 - 3*j + 42*j. Let d(c) = -2*c. What is t(d(i))?
-112*i + 3
Let u(q) = -7*q. Let l(a) = -4 - 81*a + 66*a + 4. Give l(u(d)).
105*d
Let z(d) be the third derivative of d**5/20 - d**2 + 211. Let m(g) = 11*g**2 - 7. What is m(z(p))?
99*p**4 - 7
Let x(m) be the third derivative of -m**5/60 + 37*m**2 - 1. Let w(k) = -2*k - 19. Give w(x(b)).
2*b**2 - 19
Let w(p) = -3*p**2. Let v(g) = 5537*g + 3. Determine v(w(c)).
-16611*c**2 + 3
Let c(b) = -377154*b**2. Let q(r) = -2*r. Calculate c(q(z)).
-1508616*z**2
Let g(r) = -387*r**2. Let h(w) = 163*w**2. Give g(h(l)).
-10282203*l**4
Suppose -a + 22 = 3*a - l, 4*l - 32 = -4*a. Suppose -a*s + 7*s - 2 = 0. Let u(m) = -2*m**s - 2*m**2 + 7*m**2. Let p(o) = 6*o**2. What is p(u(b))?
54*b**4
Let b(z) = -16217*z. Let r(k) = -19*k. Determine r(b(t)).
308123*t
Let g(x) = 3*x**2 - 2 + 2. Let d(j) be the third derivative of j**6/720 + j**4/24 - j**2. Let p(b) be the second derivative of d(b). Calculate g(p(i)).
3*i**2
Let k(m) = -15*m**2 - 3*m + 3. Let y(b) = 18*b**2 + 4*b - 4. Let t(c) = 4*k(c) + 3*y(c). Let q(s) = 8*s. Calculate t(q(n)).
-384*n**2
Let h(s) = s**2 + 6*s - 5. Let r be h(-7). Let j(c) = c**r - 5*c + 5*c. Let t(n) = -6*n. What is t(j(k))?
-6*k**2
Let v(i) = 10508*i + 1. Let j(r) = 25*r**2. Determine v(j(x)).
262700*x**2 + 1
Let x(o) = 3*o. Suppose 2*w - 22 = -4*d, 3*d - d - w = 9. Let j(k) = -k. Let a(n) = d*x(n) + 20*j(n). Let m(u) = -8*u. Determine m(a(l)).
40*l
Let d(z) = 2*z + 6. Let p(f) = -7*f - 3*f + 3*f + 8*f + f. Determine p(d(m)).
4*m + 12
Let t(d) = -767*d**2. Let f(z) = -2*z - 29. Give t(f(q)).
-3068*q**2 - 88972*q - 645047
Let h(a) be the third derivative of a**4/12 + 19*a**2. Let k(u) be the third derivative of u**4/12 - 5*u**2. Give h(k(v)).
4*v
Let b(k) = -k. Suppose 2*y + 22 = -h - 3*h, -4*y = 4. Let o be ((-6)/h)/(2/5). Let t(x) = o - 7*x - 2 - 1. Give t(b(q)).
7*q
Let q(w) = 2*w + 5*w + 35 - 5*w - 35. Let d(c) = -c - 2. Give d(q(t)).
-2*t - 2
Let b(a) be the first derivative of 14*a**3 - 187. Let z(v) = -v**2. Determine z(b(d)).
-1764*d**4
Let n(g) = -11841*g**2. Let j(w) = -60*w**2. Determine j(n(d)).
-8412556860*d**4
Let l(f) be the third derivative of 5*f**5/3 + 3999*f**2 - 1. Let j(m) be the first derivative of -m**2 + 1. Determine j(l(q)).
-200*q**2
Let b(s) be the second derivative of s**3/2 - s. Let n = -41 - -41. Let u(v) = -49*v + 48*v + 0 + n. Give b(u(p)).
-3*p
Let x(r) = r. Let d(m) = 22*m**2 + m - 2727. What is d(x(h))?
22*h**2 + h - 2727
Let j(f) = -f**2. Suppose -4*c + 3*c + 6 = 0. Let x(h) = -4*h**2. Let q(u) = c*j(u) - 2*x(u). Let s(b) be the first derivative of -7*b**3/3 - 14. Give s(q(m)).
-28*m**4
Let m(f) be the first derivative of -25*f**3/3 + 71. Let t(n) = 2*n**2. Determine m(t(x)).
-100*x**4
Let b(q) = -11*q. Let o(x) = 1818*x - 2. Give b(o(j)).
-19998*j + 22
Let a(f) = 80*f. Let l(i) = -9*i - 8. Calculate a(l(o)).
-720*o - 640
Let l(m) = -12*m**2. Let t(f) = -f - 3. Let d(u) = -u - 4. Let c(q) = 4*q + 17. Let k(g) = -2*c(g) - 9*d(g). Let b(n) = -3*k(n) - 2*t(n). Give l(b(x)).
-12*x**2
Let x(q) = -1485*q + 748*q + 744*q. Let k(r) be the first derivative of -r**2/2 + 1. Determine x(k(z)).
-7*z
Let r(l) = -l**2 + 0*l**2 - l**2. Let m(f) be the second derivative of 0*f**3 + 0*f**2 + 0 - 1/6*f**4 + 9*f. What is r(m(j))?
-8*j**4
Let k(f | {
"pile_set_name": "DM Mathematics"
} |
6}. Give prob of sequence ggxr.
1/2040
Three letters picked without replacement from rrd. What is prob of sequence rrd?
1/3
Calculate prob of sequence ju when two letters picked without replacement from {o: 2, u: 1, j: 1, v: 1}.
1/20
Calculate prob of sequence ok when two letters picked without replacement from kkokkoktkk.
7/45
What is prob of sequence ez when two letters picked without replacement from zbbabbhbe?
1/72
What is prob of sequence qsq when three letters picked without replacement from {s: 2, n: 1, q: 2}?
1/15
Two letters picked without replacement from {h: 2, a: 6, m: 1, w: 2, y: 4}. Give prob of sequence ya.
4/35
Two letters picked without replacement from {a: 13, d: 5}. Give prob of sequence aa.
26/51
Two letters picked without replacement from {w: 1, v: 1, l: 2, d: 1, u: 2, e: 1}. What is prob of sequence vw?
1/56
What is prob of sequence kov when three letters picked without replacement from {n: 2, o: 1, k: 2, b: 1, v: 2, u: 1}?
1/126
Calculate prob of sequence zuu when three letters picked without replacement from uufzuffzfuf.
4/165
Calculate prob of sequence la when two letters picked without replacement from {m: 3, a: 4, l: 4}.
8/55
What is prob of sequence gaz when three letters picked without replacement from {a: 3, d: 2, z: 5, g: 3}?
15/572
Two letters picked without replacement from jajjajb. Give prob of sequence jb.
2/21
Three letters picked without replacement from iil. What is prob of sequence ill?
0
Four letters picked without replacement from {d: 4, m: 2, e: 4}. What is prob of sequence dmde?
2/105
Two letters picked without replacement from {m: 3, w: 2, l: 2, j: 6}. Give prob of sequence mm.
1/26
Two letters picked without replacement from vrfaaraaxvxxf. What is prob of sequence rx?
1/26
Three letters picked without replacement from yyaya. Give prob of sequence yyy.
1/10
Three letters picked without replacement from rvrvn. What is prob of sequence rvn?
1/15
Two letters picked without replacement from taooyiciy. What is prob of sequence cy?
1/36
What is prob of sequence wd when two letters picked without replacement from wid?
1/6
Three letters picked without replacement from jjjjcjjjcj. What is prob of sequence jcc?
1/45
Calculate prob of sequence tt when two letters picked without replacement from {t: 6, r: 4}.
1/3
Calculate prob of sequence bch when three letters picked without replacement from hbcbvrbbb.
5/504
Calculate prob of sequence fee when three letters picked without replacement from {t: 1, e: 5, f: 5}.
10/99
Four letters picked without replacement from {f: 1, d: 1, s: 2, j: 1, u: 1, y: 1}. What is prob of sequence sjyf?
1/420
Four letters picked without replacement from {c: 5, f: 2, y: 2}. Give prob of sequence yccc.
5/126
Calculate prob of sequence vaw when three letters picked without replacement from pdnppaapdpvwa.
1/572
Four letters picked without replacement from pppppjpkjjppkkkppp. What is prob of sequence pkjp?
11/612
Calculate prob of sequence oxxx when four letters picked without replacement from oooxxvx.
3/140
What is prob of sequence hm when two letters picked without replacement from fmmhmmtgmghbmfffbb?
2/51
Two letters picked without replacement from {p: 6, j: 1, i: 1, w: 2, t: 3}. Give prob of sequence ip.
1/26
Four letters picked without replacement from ddddrrrrrd. What is prob of sequence ddrr?
5/63
What is prob of sequence qqqq when four letters picked without replacement from {t: 2, c: 1, q: 11}?
30/91
Calculate prob of sequence xxyx when four letters picked without replacement from xyyyxyyyyxxyx.
4/143
Three letters picked without replacement from rjrrmjrjmrjrmr. Give prob of sequence mrm.
1/52
Calculate prob of sequence ffx when three letters picked without replacement from bfxrrfhrpxfp.
1/110
What is prob of sequence kzk when three letters picked without replacement from xsskxskkkknz?
1/66
Two letters picked without replacement from {a: 3, v: 2, w: 4}. Give prob of sequence aw.
1/6
Three letters picked without replacement from {m: 1, h: 8, q: 6, z: 2, y: 1}. What is prob of sequence qqq?
5/204
Four letters picked without replacement from btlltllllvtvlvttb. What is prob of sequence lllb?
1/136
Calculate prob of sequence svvo when four letters picked without replacement from ssossvvvovvsvvv.
2/117
Two letters picked without replacement from {v: 1, h: 9, c: 4, d: 2, i: 2, z: 2}. What is prob of sequence cz?
2/95
Three letters picked without replacement from {o: 4, t: 7, x: 1, m: 2, j: 1, e: 4}. What is prob of sequence eet?
14/969
Calculate prob of sequence dddd when four letters picked without replacement from {d: 5, t: 3, c: 3, m: 6}.
1/476
Four letters picked without replacement from htwhwtzzthhwjjzt. Give prob of sequence wjth.
1/455
What is prob of sequence zz when two letters picked without replacement from qzzfjjcf?
1/28
Two letters picked without replacement from {z: 6, f: 4, m: 1}. What is prob of sequence zm?
3/55
Two letters picked without replacement from pppkpxppppxpxpkx. Give prob of sequence xk.
1/30
What is prob of sequence ae when two letters picked without replacement from cacneieicnaibieneii?
4/171
Three letters picked without replacement from kwkwvkkkw. Give prob of sequence wkv.
5/168
Calculate prob of sequence ml when two letters picked without replacement from {i: 2, f: 1, l: 3, m: 10}.
1/8
What is prob of sequence zt when two letters picked without replacement from {z: 1, t: 1, a: 1, l: 2, m: 2}?
1/42
Calculate prob of sequence ww when two letters picked without replacement from qlmqmkklwqmwwl.
3/91
Calculate prob of sequence mmt when three letters picked without replacement from fttmfmtftmmmffmx.
1/28
Calculate prob of sequence ubv when three letters picked without replacement from bubbuuvmubb.
2/99
Calculate prob of sequence iz when two letters picked without replacement from imzzzzizzmimmiz.
2/15
Two letters picked without replacement from rfzzzkwwfwwh. Give prob of sequence zz.
1/22
Calculate prob of sequence by when two letters picked without replacement from {y: 5, q: 3, l: 4, b: 1}.
5/156
Two letters picked without replacement from gooyyj. What is prob of sequence oj?
1/15
Three letters picked without replacement from {h: 3, l: 4, v: 4, j: 1, x: 1}. Give prob of sequence hjj.
0
Calculate prob of sequence uuuu when four letters picked without replacement from {t: 4, u: 10}.
30/143
What is prob of sequence omo when three letters picked without replacement from mommo?
1/10
Calculate prob of sequence dee when three letters picked without replacement from eeqleeqlleedeqleqq.
7/612
What is prob of sequence lbc when three letters picked without replacement from bycvvvvcblbbcl?
1/91
Two letters picked without replacement from fttttutfnftnnftutunu. What is prob of sequence ff?
3/95
Three letters picked without replacement from {k: 1, n: 3}. Give prob of sequence knn.
1/4
What is prob of sequence vvba when four letters picked without replacement from bvvbabab?
1/105
Calculate prob of sequence zi when two letters picked without replacement from {d: 3, z: 11, i: 3, k: 3}.
33/380
Calculate prob of sequence bqj when three letters picked without replacement from ypjyyqpqypppbypjyjjy.
1/855
What is prob of sequence nhn when three letters picked without replacement from {t: 1, i: 3, h: 4, n: 2}?
1/90
Two letters picked without replacement from {c: 1, r: 2, l: 1, z: 1, t: 1, s: 2}. What is prob of sequence zt?
1/56
Calculate prob of sequence ppp when three letters picked without replacement from {p: 7}.
1
Calculate prob of sequence avl when three letters picked without replacement from aeelvvalv.
1/42
Calculate prob of sequence mn when two letters picked without replacement from {n: 2, m: 5}.
5/21
Four letters picked without replacement from {t: 1, u: 1, y: 2, c: 1, h: 1, i: 2}. What is prob of sequence ytuy?
1/840
Four letters picked without replacement from {d: 3, c: 3, b: 1, u: 5}. Give prob of sequence ubdu.
1/198
Four letters picked without replacement from {h: 4, s: 1, p: 6, b: 2, r: 3, f: 4}. What is prob of sequence rsfr?
1/4845
Two letters picked without replacement from vxwxaww. What is prob of sequence aw?
1/14
Three letters picked without replacement from ttyltesessltyetett. What is prob of sequence eyl?
1/306
Four letters picked without replacement from | {
"pile_set_name": "DM Mathematics"
} |
of g and v.
4
Let j be (-4)/6 - (-1192)/6. Suppose 2990*k - 3094*k - 974 = -3262. Calculate the highest common divisor of j and k.
22
Let r(a) = 4*a - 10. Let l be r(8). Let d be (1 + -2)/(-14 + 164151/11726). What is the highest common divisor of d and l?
22
Let p(c) = 11*c**2 + c - 4. Suppose 10 = -3*z + z. Let y be p(z). What is the greatest common factor of 38 and y?
38
Let m(r) be the third derivative of r**5/20 + 3*r**4/8 + 19*r**3/2 - 2*r**2 + 75*r. Let q be m(-6). Calculate the highest common factor of q and 148.
37
Let w(d) = 2*d - 3. Let o be w(3). Let x(m) = -m**2 + 21*m - 89. Let c be x(23). Let v be -2 - (-64)/30 - 2007/c. What is the highest common divisor of o and v?
3
Suppose -4*o + 4*u + 22 = 10, 5*u = 3*o - 9. Suppose -4*p - 24 = 4*f, -p + 0*p = 3*f. Let t be (3 + -9)*p/6. What is the greatest common divisor of o and t?
3
Suppose 4*g + s - 89 = 0, -99 = 374*g - 378*g - 3*s. Calculate the greatest common divisor of g and 5208.
21
Let z = 156 + -148. Let u be z*(-85)/4*-4. Calculate the highest common factor of u and 40.
40
Let a be (30/(-45))/((-2)/15). Suppose 0 = a*u - 251 + 26. What is the greatest common factor of 27 and u?
9
Suppose 14*o - 70 = -28. Suppose -o*m = 2*v - 17, 4*v = -3*m + 9*v + 52. Let b = -19 + 34. What is the highest common factor of b and m?
3
Let b be -2 - (4 - (-3 + 15)). Let p = 20 - 11. What is the highest common divisor of p and b?
3
Suppose 2*p + g = 3*g + 24, 3*g + 24 = 2*p. Let q(v) = 36*v**2 + 67*v - 3. Let n be q(-3). Calculate the greatest common factor of n and p.
12
Let f(j) = -j + 2. Let q(s) = -3*s - 25. Let g be q(-6). Let v be f(g). What is the greatest common divisor of 1 and v?
1
Let n(s) = s + 11. Let j be n(-10). Let z(w) = w**3 + 10*w**2 + 6*w - 3. Let p be z(-9). Calculate the highest common divisor of j and p.
1
Let l(d) = -d**3 - 19*d**2 - 38*d + 4. Let j be l(-17). Suppose 78*u - j*u = 714. What is the highest common divisor of u and 17?
17
Let r = -169 + 524. Let b = -328 + r. Calculate the greatest common divisor of 1188 and b.
27
Let w(k) = -k**3 + 12*k**2 - 10*k + 172. Let z be w(10). Calculate the highest common divisor of z and 240.
16
Let m be (-6 - 114/(-18))/(11/15939). What is the highest common divisor of 2254 and m?
161
Suppose 36 = 4*f + 4*z - 32, -5*f + 4*z = -121. Let x(v) = -3*v - 29 + f*v + v**2 + 11*v. Let r be x(-31). Calculate the highest common divisor of 165 and r.
33
Let o(p) = 2*p**2 - 10*p - 58. Let s be o(-6). Let x = 1 + s. What is the highest common divisor of x and 525?
75
Suppose -5*q = 5*g - 82 - 8, -g - 4*q = -33. Let m be 2 - (0/(-1))/(-13 - -10). Calculate the greatest common divisor of g and m.
1
Suppose -4*c + 3*l + 4322 + 9973 = 0, l + 7145 = 2*c. What is the highest common divisor of c and 3?
3
Let p = 7859 - 7831. What is the greatest common factor of 388 and p?
4
Suppose 3*i - 39 = 2*u, -4*u = -16 + 4. Suppose 39*s - 34*s + i = 0. Let c be (s - -2)*(-3 - 37). Calculate the highest common divisor of c and 10.
10
Let u be -81*((-2)/(-24) - 21/28). Calculate the highest common factor of u and 5202.
18
Let d be (4 + -7 + (-243)/(-6))/(2/12). What is the highest common divisor of d and 216?
9
Suppose 80*k + 1067 = 91*k. Calculate the greatest common divisor of k and 3589.
97
Let y(p) = p**2 - 58*p - 528. Let g be y(72). What is the greatest common divisor of g and 15?
15
Let c(y) = 20*y - 118. Let h be c(8). Calculate the highest common factor of 1050 and h.
42
Let m(h) = -118*h**3 - 28*h**2 - 94*h + 14. Let w be m(-4). What is the greatest common divisor of w and 3?
3
Suppose 0 = 2*m - 12*m + 4400. Suppose -34*f - 4*d - m = -38*f, 2*f + 2*d - 212 = 0. What is the greatest common divisor of f and 36?
36
Suppose 4*x = 251*f - 252*f + 78, -4*f + 2*x + 222 = 0. What is the greatest common factor of 14094 and f?
58
Let y(j) = j**2 + 618*j + 61634. Let g be y(-125). Let p = 228 + -57. What is the greatest common factor of g and p?
9
Let l(j) = -8 + 70*j + 2 - 78*j. Let p be l(-2). Suppose 0 = -4*y - 5*s + 1125, p*y - 5*y - 1355 = 4*s. Calculate the greatest common factor of 25 and y.
25
Let o be (-34)/(-272) + (-2)/(-16)*81167. What is the highest common factor of 114 and o?
114
Let f = 696 - 150. Suppose 0 = -2*n - 74 + 158. Calculate the greatest common factor of f and n.
42
Let m(q) = 1481*q - 3979. Let t be m(3). What is the highest common factor of 3538 and t?
58
Let l(t) = -10*t + 2. Let s be l(-5). Suppose 71 = 8*h - 73. Suppose -5*f + 3*j + 142 = 0, 5*f - h = 4*f - 2*j. Calculate the greatest common factor of s and f.
26
Suppose -b + 132 = -2*n + 251, -5*n - 2*b + 284 = 0. Let v = 6 - -139. What is the greatest common factor of v and n?
29
Let x(h) = 18*h**2 + 70*h + 25. Let c be x(-4). What is the highest common divisor of 2574 and c?
33
Let f = 3108 + -2894. Calculate the greatest common factor of f and 2675.
107
Let t = -26 - -98. Suppose 0 = 15*l - 12*l - n + 13, -5*l - 2*n = 29. Let u be (t/l)/(27/(-180)). What is the greatest common divisor of 16 and u?
16
Suppose 9*y - 20 - 34 = 0. Let k be ((-15)/12)/(1/(-116)). Let w be 4 + (y - 3) + k. What is the greatest common divisor of w and 38?
38
Let z be (-3 + (-4)/8)/(168/(-144)). Suppose 5 = x - 0. Let q be x/3 + (-4)/6. Calculate the greatest common factor of z and q.
1
Let z be (-9 - 10 - 1)*((-438)/15 + 0). Calculate the greatest common factor of 3942 and z.
146
Suppose -26*y + 6 = -20*y. Let c be y + (-4)/3 - 23/(-69). Suppose v = 4*a - 2*v - 780, 3*a + 4*v - 610 = c. What is the greatest common divisor of 18 and a?
18
Let u = 95 + -47. What is the highest common factor of 272 and u?
16
Suppose 0 = 2*p + h - 10, 4*p - 22 = 2*p + 2*h. Suppose -112 = -p*f + 5*f. Let a = f + -46. Calculate the highest common divisor of 5 and a.
5
Let s(b) = -3*b**3 - 23*b**2 - 214*b + 20. Let f be s(-11). Calculate the greatest common factor of 28 and f.
28
Suppose 4167 + 558 = 75*z. Calculate the highest common factor of z and 141.
3
Suppose 90 = 5*j - 2*s - 221, 0 = 5*j + 3*s - 321. Suppose -5*l - p = -175, -3*l + p + 149 = l. Calculate the highest common factor of l and j.
9
Let w = 30694 + -11649. Calculate the highest common factor of w and 130.
65
Suppose -4*k = -5*z + 127, 29 + 8 = -k + 3*z. Let u = k + 30. Let h be u + 24*2*(-15)/(-20). Calculate the greatest common factor of 95 and h.
19
Suppose 11*g + 20*g = 41*g - 78750. What is the highest common factor of g and 210?
105
Let w = -899 + 2765. Calculate the highest common divisor of 6 and w.
6
Let d(a) = -19*a + 339. Let r(k) = 20*k - 338. Let j(y) = 5*d(y) + 4*r(y). Let o be j(6). Calculate the highest common factor of o and 23.
23
Suppose 48771 + 7852 - 127 = 132*l. What is the highest common divisor of 5671 and l?
107
Suppose -4*x + 36 = 13*p - 12*p, 2*x + 4*p - 32 = 0. Suppose 4*i = x, u - 4*i + 62 = 3*u. What is the highest common factor of 54 and u?
27
Let f be (-10)/25 + 1026/15. Suppose 2*z - 429 = -9*z. Suppose -2*n + z - 31 = 0. Calculate the greatest common factor of n and f.
4
Let b = -35 + 44. Suppose -f - b = 23. Let z = 168 + f. Calculate the highest common factor of z and 17.
17
Let k be (231 - (-3 + 11)) + -7. What is the greatest common factor of 378 and k?
54
Let r = 56 - 14. Suppose -x - x + r = 0. Suppose -4*a = -2*h + 458, -3*h = -34*a + 32*a - 691. Calculate the highest common divisor of x and h.
21
Suppose -3119*w + 3117*w = -19688. Calculate the highest common divisor of 92 and w.
92
Suppose -2367 = -6*l + 2*l - 3*u, 3*u = -5*l + 2955. Suppose 0*j + l = 7*j. Suppose 2*z = 14 + 10. Calculate the highest common divisor of z and j.
12
Let r = -226 - -258. Suppose -r*h + 31*h = -15. Calculate the highest common factor of h and 1095.
15
Let h(b) = -3*b**3 + 80*b**2 + 31*b - 70. Let i be h(27). What is the highest common divisor of i and 5966?
38
Suppose -o + 3*r = 5, -15 = -4*r + r. Let l be 56/o - (-3 - 78/(-30)). Suppose -l*b + 92 = -52. What is the highest common factor of b and 96?
24
Let a be 326 - (-22 - -20 - 2). What is the highest common divisor of 5170 and a?
110
Let k = -5510 + 5572. Calculate the greatest common divisor of k and 961.
31
Let c be -34 - -1 - (1 - (0 + 4)). Let k = 56 + c. What is the greatest common divisor of k and 2?
2
Suppose -4*u = 4*n - 1636, 125*u = -4*n + 126*u + 1616. Calculate the gr | {
"pile_set_name": "DM Mathematics"
} |
e 8, what is 0 - -163?
163
In base 11, what is -19a + -3?
-1a2
In base 8, what is -1035 - -1?
-1034
In base 10, what is -569 - 5?
-574
In base 14, what is -2c - 29a?
-2c8
In base 7, what is -15 - -31?
13
In base 6, what is 4 - 1141?
-1133
In base 13, what is -2 + -22?
-24
In base 3, what is 12 + 211010?
211022
In base 6, what is 1350 + 1?
1351
In base 8, what is -50 + 134?
64
In base 3, what is -1021000 + 21?
-1020202
In base 6, what is 52 + 2?
54
In base 11, what is 5 - 546?
-541
In base 11, what is -88a + 4?
-886
In base 7, what is 3 - -305?
311
In base 13, what is -39 - -5?
-34
In base 9, what is -1 + 18?
17
In base 11, what is 253 + 4?
257
In base 11, what is 318 + 5?
322
In base 7, what is 2 + -4301?
-4266
In base 12, what is 43 - -27?
6a
In base 3, what is 112111 - 221?
111120
In base 8, what is 73 + -1?
72
In base 15, what is -b31 - -2?
-b2e
In base 2, what is 101110 - -10100?
1000010
In base 5, what is 1142 + -3?
1134
In base 15, what is bb - 1?
ba
In base 10, what is 11163 + -3?
11160
In base 13, what is -1a79 - -2?
-1a77
In base 10, what is -19 + -7?
-26
In base 3, what is -2010 - 12?
-2022
In base 4, what is 301 - 130?
111
In base 3, what is 1 - 100200?
-100122
In base 3, what is -11 - -1202?
1121
In base 10, what is -209 + -164?
-373
In base 13, what is -6 + -3?
-9
In base 15, what is -642 - -5?
-63c
In base 14, what is -1994 - 1?
-1995
In base 12, what is -5 + 19?
14
In base 13, what is b + -1b0?
-1a2
In base 10, what is 182 + 8?
190
In base 15, what is -8 - -20?
17
In base 10, what is -1 - 32?
-33
In base 4, what is 1321 - -1322?
3303
In base 4, what is 210322 - -10?
210332
In base 11, what is -4 - 2a3?
-2a7
In base 2, what is 1100110100 - 11?
1100110001
In base 11, what is 5a5 + -20?
585
In base 3, what is 210212 - 110?
210102
In base 3, what is -2101 + 10?
-2021
In base 14, what is 10 - -30?
40
In base 13, what is -3 - -1066?
1063
In base 12, what is 4 - 20?
-18
In base 13, what is -252 - -5?
-24a
In base 16, what is 2 - 2?
0
In base 15, what is 4d0a - -3?
4d0d
In base 2, what is -11 + -1000001?
-1000100
In base 9, what is 7 + 1203?
1211
In base 14, what is 4 + -38?
-34
In base 4, what is 321 + -220?
101
In base 15, what is -3d + 7?
-36
In base 2, what is 10 - -110111?
111001
In base 15, what is 350 + 2?
352
In base 7, what is -2610 + 4?
-2603
In base 6, what is -104222 - -5?
-104213
In base 4, what is -101 + 13130?
13023
In base 5, what is -1304 + 0?
-1304
In base 7, what is 5 + -550?
-542
In base 10, what is 4 + 18?
22
In base 10, what is -142 - 33?
-175
In base 15, what is -2 - 33?
-35
In base 16, what is 11 - -3c?
4d
In base 2, what is 11 + -1110?
-1011
In base 10, what is 4 - 965?
-961
In base 4, what is -10 + -130200?
-130210
In base 10, what is -2 - -51?
49
In base 4, what is -2 + -133?
-201
In base 7, what is -2523 - -1?
-2522
In base 2, what is 101 - -100100011?
100101000
In base 13, what is -1c + 16?
-6
In base 16, what is 47 - 2?
45
In base 9, what is 71 + -554?
-473
In base 4, what is 330 - 10?
320
In base 5, what is -1 + 44?
43
In base 7, what is -14 + -2?
-16
In base 14, what is 157a - -2?
157c
In base 11, what is -326 - -8?
-319
In base 9, what is -5466 - 4?
-5471
In base 16, what is -18 + 15?
-3
In base 12, what is 181 - -4?
185
In base 16, what is -2e3 + 0?
-2e3
In base 4, what is 2 - -201320?
201322
In base 12, what is a - 370?
-362
In base 3, what is 1022 - -102?
1201
In base 5, what is -11 - 1?
-12
In base 14, what is -21 + -51?
-72
In base 9, what is -1 - -3362?
3361
In base 13, what is -4 - -2?
-2
In base 6, what is 14 - 1214?
-1200
In base 3, what is 22 + 1112001?
1112100
In base 5, what is -4 + -33202?
-33211
In base 3, what is 2 + 2122?
2201
In base 14, what is -3 - 3c?
-41
In base 2, what is -110001110110011 - 10?
-110001110110101
In base 9, what is 7 + 2770?
2777
In base 16, what is -4 + 101?
fd
In base 11, what is 881 + 5?
886
In base 9, what is 5 + 22?
27
In base 12, what is -1a - -52?
34
In base 12, what is 2b - -19?
48
In base 2, what is 110 + -11010000?
-11001010
In base 3, what is -122212100 + -10?
-122212110
In base 8, what is 16 + 53?
71
In base 3, what is 120 + 11011?
11201
In base 4, what is -110 - -11?
-33
In base 14, what is -5 + 4?
-1
In base 16, what is -2 + -5e?
-60
In base 4, what is -11 - 1100330?
-1101001
In base 16, what is -ae1 - -3?
-ade
In base 9, what is -3 + -31?
-34
In base 2, what is 101000 - -10011?
111011
In base 12, what is 5 - 116?
-111
In base 6, what is -111 - 5?
-120
In base 9, what is 27 + 1160?
1187
In base 2, what is -1000 + 101011?
100011
In base 4, what is 1 - 13133?
-13132
In base 2, what is 1011000 + -1?
1010111
In base 16, what is -b2 + -1?
-b3
In base 13, what is -71a - 10?
-72a
In base 9, what is 1 - 2662?
-2661
In base 13, what is 4 + 1556?
155a
In base 13, what is 363 + -5?
35b
In base 6, what is -1 - -1115?
1114
In base 3, what is -21 + -10110?
-10201
In base 16, what is -1 - -7b?
7a
In base 2, what is 100010001 + -100?
100001101
In base 11, what is 80 - 13?
68
In base 13, what is -184 - -1?
-183
In base 8, what is 22 - -461?
503
In base 7, what is 42 + 15?
60
In base 14, what is 2 + 398?
39a
In base 3, what is 1 - -12201221?
12201222
In base 7, what is 12554 + 0?
12554
In base 11, what is -11 + 29?
18
In base 5, what is 24 - 22?
2
In base 15, what is 35 - 1c?
18
In base 2, what is 101 - 1101100?
-1100111
In base 11, what is 39 - -5?
43
In base 5, what is -20 - 300?
-320
In base 2, what is -1 + 10101?
10100
In base 16, what is 8b9 - 5?
8b4
In base 9, what is -37 - -30?
-7
In base 7, what is 2 - 41?
-36
In base 2, what is 110 + 11?
1001
In base 15, what is -8 + 15?
c
In base 9, what is -4 - 4347?
-4352
In base 13, what is 2 + c2?
c4
In base 11, what is -3 - a41?
-a44
In base 6, what is -4 + 13512?
13504
In base 7, what is 3 + -214?
-211
In base 4, what is -2112 - 2?
-2120
In base 4, what is -11 - 201?
-212
In base 7, what is 2 + 4030?
4032
In base 12, what is 6 - -182?
188
In base 3, what is 21201 - -1?
21202
In base 16, what is 1a + -4?
16
In base 10, what is -4 + -141?
-145
In base 11, what is -39 - -6?
-33
In base 8, what is 7 + 76?
105
In base 5, what is 10 + -4114?
-4104
In base 11, what is 552 + 1?
553
In base 11, what is -5 + -12?
-17
In base 8, what is -2546 + 3?
-2543
In base 14, what is 168 + 3?
16b
In base 6, what is -1521 + -1?
-1522
In base 11, what is 1 - -9?
a
In base 14, what is -5 - -61?
5a
In base 12, what is 14 - -4?
18
In base 8, what is -1 + -337?
-340
In base 5, what is 2 + -40?
-33
In base 3, what is 1 - -2011?
2012
In base 16, what is -ff + -2?
-101
In base 8, what is 40 + 1?
41
In base 11, what is 2 - 34?
-32
In base 2, what is 10 - -1010101000?
1010101010
In base 3, what is -1 + -11200122?
-11200200
In base 12, what is -87 + 0?
-87
In base 15, what is 4 + -2b6?
-2b2
In base 16, what is 6 + -1e?
-18
In base 8, what is -4 - -2367?
2363
In base 6, what is -452 - -3?
-445
In base 2, what is 101 - -11101100001?
11101100110
In base 15, what is -39 + -1?
-3a
In base 10, what is 18 + 3?
21
In base 10, what is 23 + -450?
-427
In base 11, what is -a618 + -3?
-a620
In base 8, what is -3 - 44?
-47
In base 6, what is -3 + 24430?
24423
In base 8, what is -2 - 525?
-527
In base 3, what is -1002 + 12202?
11200
In base 3, what is -10 - 1221?
-2001
In base 14, what is 6 - -17d?
185
In base 12, what is 4 - -73?
77
In base 12, what is 140 - -2?
142
In base 3, what is -102 - -1000?
121
In base 2, what is 110 + 100111?
101101
In base 12, what is 2 - 379a?
-3798
In base 12, what is 215 + -4?
211
In base 3, what is -2010012 + -10?
-2010022
In base 15, what is 2 + 12a?
12c
In base 13, what is 2b - -6c?
9a
In base 6, what is 45 - 1?
44
In base 10, what is -4 + -465?
-469
In base 9, what is 54 + -10?
44
In base 4, what is -113231 - -11?
-113220
In base 3, what is 202 + 222120?
1000022
In base 10, what is -33 + 8?
-25
In base 13, what is a2b - 4?
a27
In base 11, what is -2 - 7a9?
-800
In base 6, what is 1403 + -11?
1352
In base 7, what is -1060 - -2?
-1055
In base 7, what is 41 - -53?
124
In base 2, what is 10101100 - 101?
10100111
In base 2, what is -1 - 101010?
-101011
In base 7, what is 423 + 2?
425
In base 14, what is b0 + 1?
b1
In base 5, what is 244321 + -1?
244320
In base 11, what is 0 - 10a?
-10a
In base 6, what is -1 - 42?
-43
In base 15, what i | {
"pile_set_name": "DM Mathematics"
} |
ext in 12721, 12711, 12687, 12643, 12573, 12471?
12331
What comes next: 259, 328, 397, 466?
535
What is the next term in 26, 418, 1072, 1988?
3166
What is the next term in 6667, 13332, 19991, 26644, 33291?
39932
What is the next term in 362, 371, 390, 419?
458
What comes next: 3968, 3970, 3982, 4010, 4060?
4138
What is the next term in -200, -842, -1928, -3458, -5432?
-7850
What is the next term in 840, 854, 868, 882, 896, 910?
924
What comes next: 1855, 3716, 5589, 7480, 9395, 11340, 13321?
15344
What comes next: -1097, -2017, -2937, -3857, -4777, -5697?
-6617
What is the next term in -757, -2858, -6337, -11194, -17429, -25042?
-34033
What comes next: -2166, -3636, -5106?
-6576
What is the next term in 34126, 34127, 34128, 34129, 34130, 34131?
34132
What comes next: 1443, 2882, 4315, 5742, 7163, 8578, 9987?
11390
What comes next: 67973, 135948, 203923?
271898
What is next in 77, -16, -109, -202?
-295
What is next in 0, 168, 640, 1566, 3096, 5380, 8568, 12810?
18256
What is the next term in 58, 64, 98, 178, 322, 548, 874, 1318?
1898
What comes next: 949, 966, 1003, 1066, 1161, 1294?
1471
What comes next: 83425, 83426, 83427, 83428, 83429?
83430
What is the next term in 5448, 10890, 16330, 21768, 27204, 32638?
38070
What is the next term in -67, -124, -197, -292, -415, -572?
-769
What comes next: 722245, 722247, 722249, 722251, 722253, 722255?
722257
What is next in -2147, -17590, -59515, -141164, -275779?
-476602
What comes next: -41895, -167588, -377061, -670302, -1047299, -1508040?
-2052513
What is the next term in 283, 1783, 4283, 7783?
12283
What is next in 6864, 6863, 6862, 6861, 6860, 6859?
6858
What is the next term in -567, -453, -301, -93, 189, 563?
1047
What is next in -242, -1024, -2322, -4136?
-6466
What is next in 41726, 83449, 125172?
166895
What comes next: -29, -100, -219, -386?
-601
What comes next: -285243, -285225, -285207, -285189, -285171, -285153?
-285135
What is next in -100, -1012, -3498, -8344, -16336, -28260?
-44902
What is the next term in -2943082, -2943081, -2943080, -2943079?
-2943078
What is the next term in -5614, -9967, -14320?
-18673
What is next in -777, -770, -755, -732, -701?
-662
What comes next: 1978699, 1978700, 1978701?
1978702
What comes next: -4276, -4190, -4046, -3844?
-3584
What is the next term in -4919, -19649, -44195, -78551, -122711?
-176669
What comes next: 919, 1884, 2849, 3814, 4779?
5744
What is the next term in -8048, -8051, -8048, -8039?
-8024
What is the next term in -24335, -24355, -24373, -24389?
-24403
What is next in 3269, 2456, 1111, -760, -3151, -6056, -9469, -13384?
-17795
What is the next term in -8639, -8653, -8667?
-8681
What comes next: 182, 387, 644, 977, 1410, 1967?
2672
What comes next: 194, 213, 238, 263, 282, 289, 278?
243
What comes next: 47, 726, 1879, 3518, 5655, 8302?
11471
What is next in 13314, 53241, 119808, 213033, 332934, 479529?
652836
What is the next term in 1233, 2409, 3539, 4629, 5685, 6713, 7719?
8709
What is next in -39874, -39870, -39866, -39862?
-39858
What comes next: -633814, -633809, -633800, -633787?
-633770
What is next in 8057, 7503, 6947, 6389, 5829?
5267
What is the next term in -385, -1531, -3437, -6103, -9529, -13715?
-18661
What is the next term in 2066, 2039, 1992, 1925, 1838, 1731?
1604
What comes next: 41, 267, 683, 1289, 2085, 3071, 4247?
5613
What is the next term in 8139, 8107, 8075, 8043, 8011?
7979
What is the next term in 8112, 7853, 7594, 7335, 7076?
6817
What is next in 3546, 7095, 10648, 14211, 17790?
21391
What is next in 725, 1755, 2777, 3785, 4773, 5735?
6665
What is next in 26127, 26113, 26105, 26103, 26107, 26117, 26133?
26155
What is next in 3171, 6265, 9373, 12501, 15655, 18841, 22065?
25333
What comes next: -95080, -190138, -285196?
-380254
What comes next: -1509, -2306, -3093, -3864, -4613, -5334, -6021, -6668?
-7269
What is next in -39, -11, 83, 279, 613, 1121, 1839, 2803?
4049
What comes next: -12034, -24066, -36098, -48130, -60162, -72194?
-84226
What is next in 506, 1031, 1572, 2129, 2702?
3291
What is next in 117, 146, 185, 234, 293, 362, 441?
530
What comes next: -78151, -78163, -78175, -78187?
-78199
What is the next term in 334, 672, 1020, 1378?
1746
What is the next term in -14345, -14354, -14367, -14384, -14405, -14430, -14459?
-14492
What comes next: 1242, 1419, 1896, 2823, 4350, 6627, 9804, 14031?
19458
What is next in -443, -542, -711, -950, -1259, -1638, -2087?
-2606
What is the next term in 2236, 18047, 60956, 144511, 282260?
487751
What comes next: 6196, 12397, 18598, 24799, 31000, 37201?
43402
What is next in 105, -64, -341, -726, -1219, -1820, -2529?
-3346
What is next in 1227, 1591, 1955?
2319
What is next in -7929, -7899, -7869?
-7839
What is next in -4229, -8500, -12771, -17042, -21313, -25584?
-29855
What comes next: -46160, -92318, -138476, -184634?
-230792
What is the next term in -412, -362, -280, -166?
-20
What is next in -8462, -8466, -8480, -8510, -8562, -8642, -8756, -8910?
-9110
What is the next term in 16, 194, 380, 574?
776
What comes next: -165558, -165568, -165578, -165588, -165598?
-165608
What is next in -434, -871, -1312, -1757?
-2206
What is the next term in -15074, -30330, -45586?
-60842
What is the next term in 31455, 62911, 94369, 125823, 157267?
188695
What is the next term in 1777, 1752, 1723, 1690?
1653
What is the next term in -102056, -204116, -306176, -408236?
-510296
What is the next term in -4430, -8874, -13312, -17744, -22170, -26590, -31004?
-35412
What is the next term in -792, -3073, -6872, -12189, -19024, -27377, -37248?
-48637
What is next in -5333, -10678, -16025, -21374, -26725, -32078, -37433?
-42790
What comes next: -530553, -530544, -530529, -530508, -530481?
-530448
What comes next: 1424799, 1424798, 1424793, 1424784?
1424771
What is the next term in -94, -228, -390, -580, -798?
-1044
What is the next term in 1567, 3053, 4395, 5527, 6383, 6897, 7003?
6635
What is the next term in 306, 278, 248, 216, 182, 146?
108
What is next in 77228, 154453, 231678, 308903, 386128, 463353?
540578
What comes next: 196, 1541, 5186, 12277, 23960, 41381, 65686, 98021?
139532
What is next in -21, 76, 291, 624, 1075, 1644?
2331
What comes next: 1608, 1607, 1604, 1599?
1592
What is the next term in 272, 410, 546, 680?
812
What comes next: 17, 210, 511, 914, 1413, 2002, 2675?
3426
What comes next: -363, -384, -403, -414, -411?
-388
What comes next: -1785274, -1785273, -1785272, -1785271?
-1785270
What is next in 414, 409, 406, 405, 406, 409?
414
What is the next term in 25832, 25860, 25886, 25910, 25932?
25952
What is the next term in 161781, 161780, 161779?
161778
What is the next term in -3989, -4669, -5349?
-6029
What is the next term in 436, 2947, 9610, 22501, 43696, 75271, 119302, 177865?
253036
What is the next term in -99, -149, -159, -117, -11, 171?
441
What is next in 13, -67, -355, -959, -1987, -3547?
-5747
What is the next term in 17636, 35273, 52910, 70547, 88184, 105821?
123458
What is next in -109215, -218416, -327617?
-436818
What comes next: 1807, 1604, 1401, 1198, 995?
792
What comes next: 128664, 128662, 128660, 128658, 128656?
128654
What comes next: 6204, 12412, 18620, 24828, 31036, 37244?
43452
What is next in 11564, 46256, 104066, 184988, 289016?
416144
What is next in 878, 952, 1080, 1262, 1498, 1788, 2132?
2530
What is next in 68842, 275389, 619634, 1101577, 1721218?
2478557
What comes next: -2873, -2857, -2841, -2825, -2809, -2793?
-2777
What comes next: -33203, -33140, -32969, -32636, -32087?
-31268
What is the next term in 792, 699, 606, 513, 420, 327?
234
What is the next term in -640, -889, -1118, -1321, -1492, -1625, -1714?
-1753
What is the next term in -222, -1717, -5766, -13641, -26614?
-45957
What is next in 9655, 9657, 9659, 9661, 9663, 9665?
9667
What is the next term in 14233, 28533, 42823, 57097, 71349, 85573, 99763, 113913?
128017
What is next in 1551, 3096, 4645, 6198, 7755, 9316?
10881
What comes next: 3644, 7272, 10892, 14504?
18108
What is the next term in 157231, 314459, 471687, 628915?
786143
What is the next term in -3401, -4882, -6365, -7850, -9337, -10826?
-12317
What comes next: -1928, -1906, -1884, -1862?
-1840
What is next in -2721, -2635, -2551, -2469?
-2389
What comes next: 332, 85, -308, -853, -1556, -2423, -3460?
-4673
What is | {
"pile_set_name": "DM Mathematics"
} |
p*m, 5*y - 3*m = 115003. Round y to the nearest ten thousand.
20000
Let o = 3.171851 - 3.175. What is o rounded to four dps?
-0.0031
Let h = -778480 + 279910. Round h to the nearest 100000.
-500000
Suppose 3*i + 0*i = 12, -k + 71 = 2*i. Suppose 4*c - 207 + k = 0. Let x be 9/c + 189999/4. What is x rounded to the nearest ten thousand?
50000
Suppose -8*t + 4*t = -3*q + 7, -2*q = 3*t + 1. Let s be (-5167)/q - (-2 - (-3 + -2)). What is s rounded to the nearest 100?
-5200
Let s(b) = -14*b**2 - 32*b + 614. Let l be s(-41). Round l to the nearest 1000.
-22000
Let c(z) = 14984*z**2 + 43*z + 83. Let s be c(7). What is s rounded to the nearest 10000?
730000
Suppose 5*t + 65 = v + 16, -5*v + 141 = t. Let o = 33 - v. Suppose 4930 = -0*u + 3*u - 5*d, u - o*d = 1648. What is u rounded to the nearest 100?
1600
Suppose 190684000 = 13*z - 26*z. Round z to the nearest one hundred thousand.
-14700000
Let v = 31239 - 31239.0000019891. What is v rounded to seven decimal places?
-0.000002
Let x = 70.18519277373 - 0.08519134373. Let w = 70.1 - x. Round w to six decimal places.
-0.000001
Let f(u) = 10*u - 17. Let z be f(2). Suppose z*j - 10049988 = 5*l, 24*l + 4*j + 4020016 = 22*l. Round l to the nearest 100000.
-2000000
Let m = 22 - 19. Let q(i) = -74497*i + 3. Let f(d) = -1. Let x(z) = m*f(z) - q(z). Let r be x(-2). What is r rounded to the nearest ten thousand?
-150000
Suppose 153*b - 37*b = -5363840. What is b rounded to the nearest 10000?
-50000
Let s = -64.3 + 331.3. Let c = 161 - s. Let d = c + 105.896. What is d rounded to 1 decimal place?
-0.1
Let n be 2090000/(-10 - (-960)/100). What is n rounded to the nearest one hundred thousand?
-5200000
Let h = 11823 + -11822.115. Round h to 1 decimal place.
0.9
Let d = -126 + 67. Let i = -29 - d. Suppose x = -3*j - 59, -x - i - 21 = j. Round x to the nearest ten.
-50
Let x = 0.35 - -0.054. Let v = x - 0.48. What is v rounded to 2 decimal places?
-0.08
Suppose -w + 3*p = -5613876, -5*p = -77*w + 82*w - 28069540. Round w to the nearest 10000.
5610000
Let h = -162.78135 + 29.781358. Let k = 133 + h. Round k to 4 dps.
0
Let z = 848 + -849.652. Let f = z - -1.67258. What is f rounded to three decimal places?
0.021
Let b = -12.938 + -0.062. Let i = -158.5 - -140. Let f = i - b. What is f rounded to zero decimal places?
-6
Let z = 152.77 - -48.23. Let s = 7766 - 7568.42. Let m = s - z. Round m to 1 dp.
-3.4
Let q be 2990000/(-6)*(-24 - 42). What is q rounded to the nearest 1000000?
33000000
Let a = -0.381652286 - -0.38169. Round a to six decimal places.
0.000038
Let i = 5640 - 5640.00025992. What is i rounded to six decimal places?
-0.00026
Let y = 0.147 + -0.2795. Let o = 0.04 + y. Round o to 2 decimal places.
-0.09
Let g = -334.6 - -325.9. What is g rounded to the nearest ten?
-10
Let t = -5860136 - -5860136.06300066. Let z = -0.037 + -0.026. Let r = t + z. Round r to seven dps.
0.0000007
Let b = 607.5 + -606.3937. Round b to one dp.
1.1
Suppose -38*b + 38*b - 200939000 = 43*b. What is b rounded to the nearest 100000?
-4700000
Let b = 125.0298 - 0.0708. Let q = b + -125. Round q to two decimal places.
-0.04
Let q = -10115148.7 - -10114929.700855. Let s = -219 - q. What is s rounded to 4 dps?
-0.0009
Let j = 969 + -968.999996876. Round j to 7 decimal places.
0.0000031
Let i = -38640 - 34077. Let b be i/18 + (-6)/36. Round b to the nearest 100.
-4000
Let h = 4.27 - 4.3034. Let a = 0.05 + h. What is a rounded to three dps?
0.017
Suppose -4*b + 12324872 + 3257940 = 0. Suppose b = -25*d - 7229297. Round d to the nearest 10000.
-450000
Let g(x) = -x**3 - 47*x**2 + 49*x + 39. Let c be g(-48). Let i be (-60)/(54/c)*1. Round i to the nearest 100.
0
Let m = -1.52 - 251.48. Let p = m - -169. Let v = p - -48.5. Round v to the nearest integer.
-36
Let o = 1.117 - 1.96. Let k = o + 49.743. What is k rounded to the nearest 10?
50
Let x = 3535 - 4992. Let d = -1456.999999271 - x. Round d to 7 decimal places.
0.0000007
Let j = 13510.36928 - 13511. Round j to two dps.
-0.63
Let j = 26 - 66. Let n = 40.00532 + j. What is n rounded to four dps?
0.0053
Let u = -3851.9999026 + 3852. Round u to 5 decimal places.
0.0001
Let d = 515121.873 - 517400.5. Let o = d + 2282. Let a = o + -3.5. What is a rounded to two decimal places?
-0.13
Let p = -0.20438 + 0.198. Let l = p - -0.001. What is l rounded to 3 dps?
-0.005
Suppose -4*r = 2*f - 32478, 2*r = 4*f - r - 64978. What is f rounded to the nearest one thousand?
16000
Suppose -17*s + 66*s + 610850107 = 2779345107. What is s rounded to the nearest 100000?
44300000
Let g(d) = d**3 + 6*d**2 + 6*d + 7. Let z be g(-5). Let o(f) = z - 4834*f - 1392*f - 11965*f + 3189*f. Let a be o(1). What is a rounded to the nearest 1000?
-15000
Let i = 1224 + -1216.942. Let f = -1.4 - -8.4. Let q = f - i. Round q to 3 dps.
-0.058
Let x = -372 - -362.1. Let s = x + 9.89827. What is s rounded to four dps?
-0.0017
Let w = -886336 - -886364.900265. Let j = 28.9 - w. Round j to five decimal places.
-0.00027
Let l = 49.4 - -0.6. Let k = l + -49.989. Let y = k - 0.0109927. Round y to six decimal places.
0.000007
Let m = 443.78 - 499. Let c = 55 + m. Round c to 2 decimal places.
-0.22
Let z = -80 + 81.26. Let r = 93369.73786 + -93371. Let q = r + z. What is q rounded to three dps?
-0.002
Let d(k) = 2*k**2 - 33*k + 41. Let j be d(15). Let m be (-16)/3 - j - (-4858)/(-6). Round m to the nearest 100.
-800
Let g = -1.0225876959 - -594.0225445959. Let n = -593 + g. Round n to six decimal places.
-0.000043
Let n = 21.053 + -21. Let j = -32.053 + n. Let o = j + 32.0008. Round o to four dps.
0.0008
Let r = -16982.16509 + 16982. Let w = -75 - -75.164. Let d = w + r. Round d to four decimal places.
-0.0011
Suppose 21*w - 10275 = 18*w. Let c = 42875 + w. What is c rounded to the nearest 1000?
46000
Let o(h) = -h - 2. Let l(b) = -19055*b**2 + 11*b + 26. Let y(v) = -l(v) - 5*o(v). Let a be y(-6). What is a rounded to the nearest ten thousand?
690000
Let o = 257.3 - -84.7. Let z = o + -325.3. Round z to 0 dps.
17
Let u = 72717.1797 + -72730. Let o = u + 13.525. Round o to two dps.
0.7
Let j = -13895 + 13964.81. Round j to zero dps.
70
Suppose -21 = -4*z + 23. Let w = z - 5. Suppose -1943 = -4*x + 5*i, 5*x - w*i = -i + 2435. What is x rounded to the nearest 10?
490
Let w = -588.53 + 497.6. Round w to the nearest ten.
-90
Suppose -s - 52 = -52. Suppose s = -57*y + 53*y - 147600. What is y rounded to the nearest ten thousand?
-40000
Suppose 25 = 5*s + 5*y, 0*s - 3*y + 16 = 4*s. Let k be s/3 + (-19)/57. Suppose -3*u + 19255525 + 94444475 = k. Round u to the nearest one million.
38000000
Let c = 7901.0118625 + -7901. What is c rounded to 3 dps?
0.012
Let x = 66 - 65.58. Let j = -0.62 - x. Let s = j - -1.04000086. What is s rounded to seven dps?
0.0000009
Let v = -522 - -749. Let x = 227.0556 - v. What is x rounded to 2 decimal places?
0.06
Let y be 308/(-56) + (-2)/4 + 0. Let a be y/9 - 248999986/(-6). Suppose -3*u = 3, 5*z + 0*u - 3*u + a = 0. What is z rounded to the nearest one million?
-8000000
Let q = 72 + -171. Let b = q + 107.2. Let f = -8.1918 + b. What is f rounded to three decimal places?
0.008
Let m = -16788 + 10787. Let j = 5996.679 + m. Round j to one decimal place.
-4.3
Let u = -3289.5 - -143.3. Round u to the nearest one hundred.
-3100
Let h = 82445732 - 39373836. Let c = -43072078.99879 + h. Let t = c + 183. What is t rounded to four dps?
0.0012
Let h = 60.296 - 0.996. Let i = 126.7 - h. Round i to the nearest 10.
70
Let q(j) = 72424*j**2 + 7*j - 13. Suppose 70*y = 69*y + 20. Let t be q(y). Suppose -3*z - t - 26230273 = 0. Round z to the nearest 1000000.
-18000000
Let z be -3 - (-169749)/21 - (-24)/(-84). Suppose 77*k - 73*k + z = 0. What is k rounded to the nearest 100?
-2000
Let v = 391 - 393. Let x = 133 + -43. Let h be 910/(v - (-177)/x). Round h to the nearest one thousand.
-27000
Let j = 18124.6702 - 18123. What is j rounded to two dps?
1.67
Let r = 39389 - 39389.00017817. What is r rounded to 6 decimal places?
-0.000178
Let a be 9 + (-53)/6 - 125/(-6). Suppose 41*u + 13760000 = a*u. What is u rounded to the nearest one hundred thousand?
-700000
Let p = 40635 - 40611.581. Let z = -10.4226 + p. Let b = z - 13. Round b to 3 dps.
-0.004
Let y = 2374.99 - 2645. Let c = 270 + y. Round c to 2 decimal places.
-0.01
Let w = 6929 | {
"pile_set_name": "DM Mathematics"
} |
value in 4, -0.3, 1, 0.109, 2/7, 1/4, -3?
0.109
Which is the fourth smallest value? (a) -0.02 (b) -6/7 (c) -5 (d) 119/16
d
Which is the fourth biggest value? (a) -0.4 (b) 0.8 (c) 2 (d) -2280460
d
What is the biggest value in 3, 0, -5.113, -12, -9?
3
What is the third smallest value in 1, -139080/17, 58?
58
What is the fourth biggest value in 2, -2.111, -4, 0, -2?
-2.111
What is the fourth biggest value in 1/2, -76, -3, -4, -35282, 1?
-4
What is the biggest value in 0.4, 0.2, -70628/5, -4, 2/7, -0.1, -0.5?
0.4
What is the third smallest value in -507696, 2/5, -0.04, 2?
2/5
Which is the third biggest value? (a) -44 (b) 5 (c) 2349/2
a
What is the second biggest value in 0, -9/4, -0.41, -5, -15, 5?
0
Which is the fourth smallest value? (a) 13/5 (b) 5 (c) -2/11 (d) -7/3 (e) -0.2 (f) -24 (g) 1/8
c
What is the seventh biggest value in -1, -0.0395, 0.5, -0.03, -3, 1/5, 0.4?
-3
What is the second smallest value in -6/19, -3, 5/7, -58, -1, 2?
-3
What is the seventh biggest value in -5, 0.0018, -36, -1, -3, 0.5, -2/11?
-36
Which is the smallest value? (a) 3/22 (b) -16923.4 (c) -1/5 (d) -8
b
What is the third biggest value in 1, 2, -9, -1931, -2/105?
-2/105
What is the third smallest value in 0.13835, 0.6, -0.5?
0.6
Which is the fourth smallest value? (a) 1 (b) -18.7 (c) -2.5 (d) -124
a
Which is the seventh smallest value? (a) -2/107 (b) 0.4 (c) -3 (d) 21 (e) 0 (f) -0.3 (g) 92
g
Which is the fourth smallest value? (a) 13924 (b) 1/10 (c) 0.04 (d) -1/3 (e) -26
b
Which is the smallest value? (a) -83 (b) -6 (c) 38 (d) 1 (e) -3 (f) -1/3
a
Which is the smallest value? (a) 3.3 (b) -3/4 (c) 6491181
b
What is the fourth biggest value in -0.089, -0.4, 6, 0.3, -0.076, 2/19?
-0.076
Which is the second biggest value? (a) 0.1 (b) 110 (c) 6 (d) -1.2 (e) -0.2 (f) -2/9
c
What is the fourth biggest value in -0.4, 1, -0.7212, -854?
-854
What is the third biggest value in 3/541, -2/9, -62, 0.09, 1, 0.5?
0.09
What is the sixth biggest value in 5, -28, 7, -2, -10, -3/2?
-28
Which is the fifth biggest value? (a) 2 (b) -472/19 (c) -2 (d) -0.074 (e) -84
e
What is the second biggest value in -2/3, -0.2, 993, -1422?
-0.2
Which is the biggest value? (a) -23 (b) 7.9 (c) 12 (d) 0.4 (e) 1/3 (f) -1/4
c
What is the third biggest value in 1276, 0.08, 3, 2, 29?
3
What is the sixth smallest value in -14, -1, 45/8, -43, 2/5, 1/3, 1?
1
Which is the third smallest value? (a) 2/33 (b) -4.8715 (c) -2/5
a
Which is the sixth smallest value? (a) 0.5 (b) 1/4 (c) -14.4 (d) -4 (e) 0.048 (f) 1/49 (g) -1/5
b
Which is the second smallest value? (a) 721.9 (b) 192 (c) -223
b
Which is the sixth biggest value? (a) 0.1 (b) -173 (c) 0.2 (d) 0.4 (e) 9 (f) 2
b
Which is the biggest value? (a) -2/3 (b) -0.168 (c) -2/59247
c
What is the smallest value in -0.7, -1, 2.1, -11.383?
-11.383
Which is the biggest value? (a) 522 (b) -1/6 (c) 1 (d) 4 (e) 0 (f) -0.4
a
What is the seventh smallest value in 5, -0.5, -3/7, 1/4, -2/17, -130178, -2/9?
5
What is the third smallest value in -3/15661, 0.54, 4?
4
What is the sixth biggest value in 0.064, 2, 0.8, -1/7, -5/3, 0.2?
-5/3
What is the fifth smallest value in -14, 1/153, -2/5, 0, 23, -2/11, -1.2?
0
Which is the smallest value? (a) -157 (b) 0 (c) 318 (d) 4/5 (e) 5
a
Which is the third smallest value? (a) 1/22 (b) -271/17 (c) -5
a
Which is the second smallest value? (a) -151/4 (b) -2/9 (c) -110 (d) -0.04
a
What is the sixth smallest value in -4, 0.1, 0.23, 3, 3/19, -1/2, 21?
3
Which is the biggest value? (a) -0.2 (b) -690 (c) 53/15
c
Which is the third biggest value? (a) -2/29 (b) -0.5 (c) 0.1052 (d) 2/15 (e) 0.2 (f) -4 (g) 0.3
d
Which is the fourth biggest value? (a) 0.3 (b) 5 (c) -7 (d) -2/5 (e) -902/3 (f) -0.9 (g) -1
f
Which is the third smallest value? (a) 3/2 (b) 1.443 (c) -1 (d) -6/91 (e) -0.4
d
Which is the smallest value? (a) 0.1 (b) -1 (c) -8266391
c
What is the biggest value in -0.5, -11/1238, -425, -0.2?
-11/1238
Which is the seventh smallest value? (a) -5/3 (b) 386 (c) -0.06 (d) -2 (e) -0.2 (f) 0.4 (g) -1
b
What is the sixth smallest value in -3, -19, 7/36, -0.12, -4, 1/3?
1/3
What is the third smallest value in -2229, 0.2, -0.257, -5, 4?
-0.257
Which is the fifth smallest value? (a) 0.4 (b) -2/5 (c) 0.5 (d) 16 (e) -0.37 (f) 0.3 (g) 74/3
c
Which is the biggest value? (a) 1/4 (b) -20013 (c) -5.5
a
What is the second smallest value in 1/4707, -0.001, -0.1?
-0.001
What is the biggest value in 2.5701, 0, 9?
9
What is the third smallest value in 148, 0.4, 0.3, -15, -1, -9?
-1
What is the fourth biggest value in -43, 1, -0.2, -1285, -2?
-43
What is the biggest value in -3, 3.2, -1/2, 0.11, 10/3, -0.4?
10/3
What is the fifth biggest value in -1/3, 0.05, 1/189, -997.5, 2/11, 4/9?
-1/3
What is the second smallest value in 2/11, -0.04, 1326, -896?
-0.04
What is the fourth smallest value in 55, -3/5, 1202, 2, 13, 3?
13
Which is the third biggest value? (a) 2/7 (b) 3/2 (c) -0.4 (d) -0.2 (e) -2483777
d
What is the fourth biggest value in 4, 4/5, 0.2, -0.27, -8289/5?
-0.27
Which is the second smallest value? (a) 1 (b) -35743 (c) 212/9 (d) 0.4 (e) 3
d
What is the second smallest value in 0, -3/54857, 20?
0
Which is the third smallest value? (a) 3 (b) 6/11 (c) -5 (d) 1 (e) 1.139 (f) 1758
d
What is the biggest value in 227, 12, -2/15, -197?
227
What is the fifth smallest value in 3, 0.1, -10/39, 4/7, 88, 0.2, 7?
3
Which is the fourth biggest value? (a) 0.09 (b) 1/5 (c) 11 (d) 49 (e) 2/585 (f) 5
b
What is the third biggest value in -0.01, -1726657, 4, 2?
-0.01
What is the biggest value in -5, 0.37, -0.09, 0.05, -17, 5?
5
Which is the second biggest value? (a) 4 (b) 7 (c) -766662
a
Which is the sixth smallest value? (a) -2 (b) 2/3 (c) -1/9 (d) 0.2 (e) -20 (f) -3/2 (g) -0.32
d
What is the smallest value in 27, -1/73, -1/10, 0.3, 4, -3?
-3
Which is the biggest value? (a) -2.9 (b) -0.2376 (c) -4 (d) -2/7
b
Which is the second biggest value? (a) -0.3 (b) -2645/27771 (c) 2/3
b
Which is the second smallest value? (a) -12 (b) -0.2 (c) 2.7 (d) 30 (e) 1 (f) -13
a
What is the fifth biggest value in -1/16, 1/5, 0.051, 7, 1, -45, 0?
0
Which is the smallest value? (a) 1 (b) -7 (c) -558 (d) 20001 (e) -3 (f) -0.5
c
What is the fourth smallest value in -39/5, -0.1, 0.1, 1, -2, 55?
0.1
What is the smallest value in 5, -2/3, 1029, 0.11, -3, 2, -0.7?
-3
Which is the smallest value? (a) 22.8 (b) -2/11 (c) 0.0992912
b
What is the second smallest value in -0.1, 455708.02, 0.3?
0.3
Which is the fourth smallest value? (a) -0.6 (b) -45.7557 (c) 8 (d) 0
c
What is the sixth biggest value in 0.4, 1, -2/7, -15137, -5, -116, -4?
-116
Which is the third biggest value? (a) 4 (b) -33365 (c) 766
b
Which is the second smallest value? (a) -3/88 (b) 2212 (c) 3/2 (d) -8
a
What is the sixth biggest value in -2.1, -0.2, 0.3, -0.1, 0.002, -8/13?
-2.1
Which is the fifth smallest value? (a) -2/155 (b) 11/5 (c) -0.3 (d) -1.6 (e) 5 (f) -2/13
b
Which is the fourth smallest value? (a) -4 (b) 1/4 (c) 5/112574 (d) -5
b
What is the third smallest value in -5265, 2/11, 1501/2?
1501/2
Which is the second biggest value? (a) -19211224 (b) -4 (c) -0.2
b
Which is the third smallest value? (a) -1/3 (b) -26 (c) 2/1365 (d) 17
c
What is the smallest value in 2, 0.0412, 21/464?
0.0412
What is the biggest value in 1558/4225, -4, 2?
2
What is the third biggest value in 4, -0.5, -36/7086397, -4?
-0.5
What is the smallest value in -19, 9, -1/2572, -22, -3/5?
-22
Which is the biggest value? (a) -135 (b) -4/63 (c) -6.7 (d) 7/11
d
What is the second biggest value in 3, -1/13, 33/6301, -2/13?
33/6301
Which is the fifth smallest value? (a) -3/4 (b) -214 (c) -6 (d) -3 (e) 0.7 (f) -0.09 (g) -37
a
What is the fourth smallest value in -10, 1328, 103, 2/5?
1328
What is the fifth biggest value in 0.5, -3.158, -2/15, -1/2, 2/9, -5.2?
-3.158
What is the fourth biggest value in 0, 628, -1/8, -5, -1?
-1
Which is the sixth biggest value? (a) 3 (b) 0.32 (c) -1 (d) 4 (e) -17/12 (f) -19
f
What is the fifth smallest value in 5, -0.1, 6/61, 1.2, -39/7?
5
What is the fourth biggest value in 2.1, 1/9, -1.3, -56, 0.02, 5?
0. | {
"pile_set_name": "DM Mathematics"
} |
re there between 7:43 PM and 5:29 AM?
586
How many minutes are there between 5:38 PM and 6:31 PM?
53
How many minutes are there between 11:55 PM and 7:14 AM?
439
How many minutes are there between 2:02 PM and 8:15 PM?
373
What is 372 minutes after 5:49 PM?
12:01 AM
What is 493 minutes before 6:34 PM?
10:21 AM
What is 115 minutes before 8:11 PM?
6:16 PM
How many minutes are there between 5:37 AM and 9:06 AM?
209
How many minutes are there between 2:05 AM and 2:41 AM?
36
What is 709 minutes after 3:18 AM?
3:07 PM
What is 296 minutes after 6:27 PM?
11:23 PM
What is 298 minutes before 9:46 PM?
4:48 PM
How many minutes are there between 9:13 AM and 12:04 PM?
171
What is 41 minutes after 4:24 AM?
5:05 AM
What is 468 minutes before 3:37 PM?
7:49 AM
What is 9 minutes after 8:41 PM?
8:50 PM
What is 517 minutes before 8:21 PM?
11:44 AM
How many minutes are there between 4:06 PM and 12:14 AM?
488
How many minutes are there between 2:47 PM and 4:34 PM?
107
What is 416 minutes before 4:30 AM?
9:34 PM
How many minutes are there between 10:16 PM and 10:15 AM?
719
How many minutes are there between 11:35 AM and 10:54 PM?
679
How many minutes are there between 5:42 PM and 3:37 AM?
595
What is 270 minutes before 10:51 AM?
6:21 AM
What is 706 minutes before 10:35 PM?
10:49 AM
How many minutes are there between 4:50 PM and 5:31 PM?
41
What is 274 minutes after 12:25 PM?
4:59 PM
What is 546 minutes before 2:26 AM?
5:20 PM
What is 353 minutes after 1:43 PM?
7:36 PM
How many minutes are there between 10:43 PM and 7:04 AM?
501
What is 231 minutes before 8:31 AM?
4:40 AM
What is 71 minutes after 11:29 AM?
12:40 PM
What is 573 minutes after 5:27 AM?
3:00 PM
What is 690 minutes after 3:14 AM?
2:44 PM
How many minutes are there between 8:22 AM and 12:05 PM?
223
How many minutes are there between 12:56 AM and 5:08 AM?
252
How many minutes are there between 2:05 PM and 12:33 AM?
628
How many minutes are there between 7:05 PM and 12:08 AM?
303
How many minutes are there between 9:52 AM and 7:47 PM?
595
How many minutes are there between 5:58 PM and 10:22 PM?
264
How many minutes are there between 5:47 AM and 1:26 PM?
459
What is 274 minutes before 11:07 AM?
6:33 AM
How many minutes are there between 5:31 AM and 8:58 AM?
207
What is 40 minutes after 2:32 AM?
3:12 AM
What is 429 minutes before 7:02 AM?
11:53 PM
What is 77 minutes after 4:50 PM?
6:07 PM
What is 517 minutes after 7:16 PM?
3:53 AM
What is 520 minutes after 1:35 AM?
10:15 AM
What is 355 minutes after 2:22 AM?
8:17 AM
How many minutes are there between 3:02 PM and 2:07 AM?
665
What is 414 minutes before 1:27 PM?
6:33 AM
What is 691 minutes after 8:36 PM?
8:07 AM
How many minutes are there between 9:13 AM and 2:17 PM?
304
What is 662 minutes before 1:05 AM?
2:03 PM
What is 107 minutes after 2:50 PM?
4:37 PM
What is 467 minutes after 4:03 PM?
11:50 PM
How many minutes are there between 1:29 PM and 10:36 PM?
547
How many minutes are there between 12:05 AM and 8:06 AM?
481
What is 690 minutes before 8:26 AM?
8:56 PM
What is 420 minutes before 9:59 AM?
2:59 AM
How many minutes are there between 3:50 PM and 6:40 PM?
170
What is 325 minutes after 12:59 PM?
6:24 PM
What is 277 minutes before 12:55 PM?
8:18 AM
What is 376 minutes after 7:04 AM?
1:20 PM
What is 444 minutes before 11:21 PM?
3:57 PM
How many minutes are there between 6:38 PM and 2:06 AM?
448
What is 33 minutes before 4:25 PM?
3:52 PM
How many minutes are there between 9:00 PM and 11:22 PM?
142
How many minutes are there between 2:22 AM and 3:44 AM?
82
What is 528 minutes before 11:37 AM?
2:49 AM
What is 547 minutes before 6:23 PM?
9:16 AM
What is 664 minutes after 6:40 AM?
5:44 PM
What is 504 minutes after 10:16 PM?
6:40 AM
How many minutes are there between 7:57 PM and 10:00 PM?
123
What is 708 minutes before 6:52 AM?
7:04 PM
What is 207 minutes after 12:32 PM?
3:59 PM
How many minutes are there between 11:46 PM and 11:01 AM?
675
What is 303 minutes after 7:15 PM?
12:18 AM
How many minutes are there between 5:41 PM and 3:33 AM?
592
How many minutes are there between 7:04 PM and 8:35 PM?
91
How many minutes are there between 10:21 PM and 12:27 AM?
126
How many minutes are there between 10:48 AM and 7:46 PM?
538
How many minutes are there between 1:46 PM and 10:53 PM?
547
How many minutes are there between 5:54 AM and 11:36 AM?
342
What is 111 minutes before 7:55 AM?
6:04 AM
What is 156 minutes before 5:40 AM?
3:04 AM
What is 127 minutes after 8:09 PM?
10:16 PM
What is 599 minutes before 11:38 PM?
1:39 PM
What is 405 minutes after 2:58 PM?
9:43 PM
How many minutes are there between 3:49 AM and 9:42 AM?
353
What is 556 minutes after 8:29 PM?
5:45 AM
How many minutes are there between 12:20 PM and 11:37 PM?
677
What is 9 minutes after 5:15 AM?
5:24 AM
How many minutes are there between 3:53 PM and 2:20 AM?
627
What is 291 minutes after 11:12 PM?
4:03 AM
How many minutes are there between 1:35 AM and 9:21 AM?
466
How many minutes are there between 1:45 AM and 12:46 PM?
661
What is 679 minutes before 6:16 PM?
6:57 AM
How many minutes are there between 6:09 PM and 8:21 PM?
132
How many minutes are there between 6:16 PM and 1:42 AM?
446
What is 62 minutes before 5:41 PM?
4:39 PM
How many minutes are there between 6:50 PM and 10:13 PM?
203
What is 67 minutes before 3:01 AM?
1:54 AM
What is 10 minutes before 10:12 AM?
10:02 AM
What is 670 minutes before 12:23 AM?
1:13 PM
How many minutes are there between 8:18 PM and 10:30 PM?
132
What is 408 minutes before 7:10 AM?
12:22 AM
How many minutes are there between 5:19 AM and 5:44 AM?
25
How many minutes are there between 1:45 AM and 2:45 AM?
60
What is 204 minutes before 6:28 PM?
3:04 PM
What is 467 minutes after 3:56 PM?
11:43 PM
What is 463 minutes before 8:38 PM?
12:55 PM
What is 318 minutes before 2:06 AM?
8:48 PM
How many minutes are there between 6:36 AM and 8:19 AM?
103
How many minutes are there between 2:40 AM and 8:54 AM?
374
What is 172 minutes before 10:55 PM?
8:03 PM
What is 289 minutes after 3:14 AM?
8:03 AM
How many minutes are there between 1:22 PM and 3:29 PM?
127
How many minutes are there between 6:11 AM and 5:28 PM?
677
How many minutes are there between 5:14 PM and 5:16 PM?
2
What is 661 minutes after 1:08 PM?
12:09 AM
How many minutes are there between 5:48 PM and 8:53 PM?
185
How many minutes are there between 3:17 PM and 9:12 PM?
355
What is 102 minutes after 3:11 AM?
4:53 AM
What is 490 minutes before 3:09 PM?
6:59 AM
How many minutes are there between 4:59 PM and 3:29 AM?
630
How many minutes are there between 2:03 PM and 10:25 PM?
502
How many minutes are there between 6:43 AM and 4:31 PM?
588
How many minutes are there between 10:20 AM and 12:52 PM?
152
What is 331 minutes after 7:58 AM?
1:29 PM
What is 553 minutes before 11:01 AM?
1:48 AM
How many minutes are there between 5:19 PM and 10:22 PM?
303
How many minutes are there between 5:24 PM and 7:00 PM?
96
How many minutes are there between 10:01 AM and 7:13 PM?
552
How many minutes are there between 12:34 AM and 2:04 AM?
90
How many minutes are there between 5:12 AM and 1:46 PM?
514
How many minutes are there between 6:49 AM and 5:58 PM?
669
How many minutes are there between 11:23 PM and 3:29 AM?
246
How many minutes are there between 12:16 PM and 4:11 PM?
235
How many minutes are there between 7:08 PM and 8:59 PM?
111
How many minutes are there between 2:45 AM and 6:54 AM?
249
How many minutes are there between 5:59 AM and 4:46 PM?
647
What is 52 minutes after 11:38 AM?
12:30 PM
How many minutes are there between 8:47 PM and 4:26 AM?
459
What is 466 minutes before 11:56 PM?
4:10 PM
How many minutes are there between 8:18 AM and 3:03 PM?
405
How many minutes are there between 5:59 PM and 12:05 AM?
366
How many minutes are there between 3:35 PM and 9:48 PM?
373
How many minutes are there between 3:45 AM and 8:10 AM?
265
What is 627 minutes after 6:34 AM?
5:01 PM
What is 274 minutes after 10:42 PM?
3:16 AM
What is 508 minutes before 7:02 AM?
10:34 PM
How many minutes are there between 2:46 AM and 2:50 AM?
4
How many minutes are there between 1:20 AM and 12:45 PM?
685
How many minutes are there between 5:31 AM and 7:22 AM?
111
What is 101 minutes before 2:12 AM?
12:31 AM
How many minutes are there between 5:03 AM and 12:57 PM?
474
What is | {
"pile_set_name": "DM Mathematics"
} |
he second derivative of -1/2*v**2 + 0*v**3 + 0 - 122*v + 1/4*v**4. Calculate s(-1).
2
Let c = -1643 + 1650. Let o(g) be the first derivative of -7/2*g**2 - 1 + 1/3*g**3 + 8*g. Determine o(c).
8
Suppose -35 = -5*j, j = 4*i + 720 - 669. Let p(t) = -t**3 - 12*t**2 - 12*t - 18. Calculate p(i).
-7
Let r be (4/2)/8 - 36/16. Let k be 2 - (r + -3 - -2). Suppose 3*g - 4 - 17 = 3*n, 0 = 4*n + k*g - 8. Let b(l) = 3*l + 3. Determine b(n).
-6
Let f(q) = q**3 - q - 4. Let s(p) = -2*p**3 - 14*p**2 - 12. Let z(c) = -f(c) - s(c). Give z(-14).
2
Let s be 4*(20/4 + -6)*21/14. Let o(l) = -l - 7. What is o(s)?
-1
Let q(u) = u**3 - 5*u**2 - 4*u - 32. Let l = -8821 - -8827. Give q(l).
-20
Let u be 3/(-15) - 7/(-35). Suppose 3*j = u, 5*j + 11 = 5*m - 19. Let q(i) = 3*i - 20. Calculate q(m).
-2
Let j(n) = -2*n**3 + 10*n**2 - 17*n + 37. Suppose -216*b = -69*b - 588. Determine j(b).
1
Let j(c) = 31*c - 276. Let r be j(9). Let o(b) = -149*b**r - 154*b**3 + 3 + 304*b**3 + 3*b**2. Calculate o(-4).
-13
Let g(f) = -28*f - 1. Let b(h) = 249*h + 8. Let c(w) = -b(w) - 6*g(w). Give c(1).
-83
Let x(b) = -b**2 + b + 2. Let q(p) = -3*p**2 + 3*p + 5. Let z(a) = 2*q(a) - 5*x(a). Suppose 3*s = 12*s + 36. Let i be s/(-7) + -2 + 20/14. Give z(i).
0
Let g(p) = 2*p - 3. Let i(a) = a - 2. Let c be i(7). Suppose 136 - 91 = c*m. Determine g(m).
15
Suppose 4*g + f = -1, -2*f = 4*g - 24 + 22. Let v(i) = 24*i + 2. Determine v(g).
-22
Let i(n) = 2*n - 5. Let c(t) = 11*t - 11. Let g(l) = c(l) - 3*i(l). Let u(x) = -3*x + 1. Let w be u(1). Calculate g(w).
-6
Let y(q) = q**3 + 7*q**2 + 8*q + 3. Suppose -z - 487 = -495. Let t(j) = 9 + 9 + 1 - 3*j. Let b be t(z). Give y(b).
13
Let g(a) be the first derivative of 5/2*a**2 - 2*a + 1/3*a**3 + 104. Determine g(-5).
-2
Let q(j) = -10*j**3 + j**2 + 2*j + 1. Let w(x) = -x**2 - 13*x - 34. Let k be w(-7). Suppose -r - r - 5*p = -7, -2*r = 2*p + k. Let g = r - -8. Calculate q(g).
10
Let l = 431 - 430. Let i(y) = 2*y - l + 6*y - 12*y + 0*y. Determine i(-2).
7
Suppose -7*g = -14 - 21. Suppose b + 2*q = -3*b - 112, 0 = -g*q + 20. Let x be 1*-5 + b/10. Let v(f) = f**2 + 9*f + 9. Give v(x).
1
Let q be 2/8 + (-2)/8. Let t(l) be the first derivative of -l**4/4 - l**3/3 + l**2/2 - 4*l - 556. Determine t(q).
-4
Suppose -8 = -2*k, 2*o + 354*k = 357*k + 2. Let b(s) = 72*s - 504. What is b(o)?
0
Suppose -5*g + 2*g - 3417 = 5*k, 5*g + 5695 = -k. Let r = g - -1147. Let w(a) = -2*a**2 - 7*a + 3*a**2 - 3*a - 3. Calculate w(r).
-19
Let i be ((-1)/(-2))/((-1)/16). Suppose -23*k + 4 + 203 = 0. Let w(u) = -8 + 6*u - 25*u + 8*u + k*u + 9*u + u**2. Give w(i).
0
Let t = 10362 - 10360. Let d(p) be the first derivative of -3 - 1/4*p**4 - 3*p + 5/2*p**t + p**3. What is d(3)?
12
Suppose 5*u + 4 = -1. Let h(m) = -m + 1. Let w(i) be the first derivative of -2*i**2 - 2*i - 26. Let v(d) = u*w(d) + 5*h(d). Determine v(6).
1
Let i be 3/12 - (-2418)/24. Let m(n) = -i - n**3 + 5*n + 37 + 30 - 4*n**2 + 35. Determine m(-5).
1
Suppose 5*a - f = f + 755, -3*a = -2*f - 453. Let v = -142 + a. Let p(h) = h**3 - 10*h**2 + 8*h + 13. Calculate p(v).
4
Let d(r) = -21*r**2 + 9*r - 1. Let i = 35326 + -35325. Calculate d(i).
-13
Let t(b) = -b**2 - 6*b - 3. Suppose -135 = 6*m - 71 - 40. Calculate t(m).
5
Let d(a) = -3*a**2 - 2*a - 1. Suppose -25*b = -33*b + 4376. Let i = b - 548. Determine d(i).
-2
Let x(g) be the first derivative of 1/3*g**3 + 8*g + 1/4*g**4 + 25 + 0*g**2. Suppose -l = l. Calculate x(l).
8
Suppose -4*t - 55 = -439. Let j = -88 + t. Let c(u) = u**2 - 8*u - 4. Calculate c(j).
-4
Let i(j) be the third derivative of -j**4/12 - 15*j**2. Let a(s) = 75*s - 6. Let d be a(1). Let z = 63 - d. What is i(z)?
12
Let g be 1*(27/3)/3. Let y(f) be the first derivative of f**4/4 - 2*f**3/3 - 3*f**2/2 - 2*f - 122. Calculate y(g).
-2
Let x(y) = -y**2 - 9*y - 5. Let i(t) = 9*t**2 + 12*t - 2. Let l be i(6). Let h = l - 405. Give x(h).
-27
Let w(d) = 19*d**2 - 11926*d**3 - 17 + 23851*d**3 - 11926*d**3 + 39*d. What is w(21)?
-80
Let u(r) be the third derivative of r**6/120 + r**5/20 - 5*r**4/24 + r**3/2 + 2*r**2. Let d = -7341 + 7337. Calculate u(d).
7
Let a(i) = -17*i**3 + 5*i**2 - 5*i - 12. Let m(k) be the first derivative of -k**4 + k**3/3 - k**2/2 - 3*k - 333. Let w(n) = -2*a(n) + 9*m(n). Determine w(-2).
7
Let s(d) be the second derivative of -d - 1/6*d**3 + 3/2*d**2 + 0 + 1/20*d**5 + 1/6*d**4. Suppose -m - 4*w = 7, 1261*m + 4*w = 1262*m - 1. Determine s(m).
-3
Let v(n) be the first derivative of n**4/4 - 2*n**3/3 + n**2 - 22. Suppose 5 = 4*h - 3*h. Suppose 3*o = 5*r - 16, 9*r + h*o = 4*r. What is v(r)?
4
Suppose 4*p - 1 = -9. Let w(y) = 2*y**3 - 17*y**2 + 14*y - 43. Let l be w(8). Let s(n) = -6081*n**3 + 4*n**2 + 1 + 6082*n**3 + l*n - 2*n. Give s(p).
3
Let v(i) be the third derivative of 0 + 1/10*i**5 + 0*i - 5/24*i**4 - 1/120*i**6 - 78*i**2 + 1/2*i**3. Give v(5).
3
Let c be -2*(1 + 1) - 0*(-7)/49. Let o(l) = -l**3 - 9*l**2 - 16*l + 1. What is o(c)?
-15
Let w(h) = -2*h**2 - 1 - 7*h**2 + h**2 + 7*h**2 - 2*h - 2. Let y(r) = r**2 + 3*r - 2. Let g be y(-2). Let p = -6 - g. What is w(p)?
-3
Let j(d) = -d**2 - 16*d**2 + 19*d**2 - d + 6 + d**3 - 6*d**2 - 20*d. Calculate j(7).
6
Let j(s) = 5*s + 6. Let v be (9/2)/(21/(-28)). Calculate j(v).
-24
Let f = 9398 + -9389. Let r(s) = -1 - s + s**3 + 4 - 1 - 9*s**2 - 3. Determine r(f).
-10
Suppose 26*x + 4*x - 1170 = 0. Let b(s) = -2*s - 6 - 13 + x + 3*s - 7 + s**2. Suppose u = 5*h + 20, -h = 5*u + 4 - 0. Give b(u).
13
Let o(z) = -2*z**2 + 2035*z - 45 + 6*z**2 - z**2 - 1021*z - 1013*z. What is o(7)?
109
Suppose 0 = 52*a + 176 - 31 + 63. Let j(g) = -3*g**2 + 17. Calculate j(a).
-31
Let q(h) = -h + 10. Let y(z) = 17*z + 91. Let g = -729 + 724. Let t be y(g). Calculate q(t).
4
Let w(v) = -v**3 - v**2 + 182*v + 3. Let t be w(13). Suppose 6*i = 10*i + 2*m, -5*i = 4*m + t. Let l(h) = 6*h**3 - h**2 + h. Determine l(i).
6
Let k(g) = -1109*g**2 + 93*g - 14. Let x(f) = -252*f**2 + 21*f - 3. Let o(a) = 5*k(a) - 22*x(a). Let d = -6 + 10. Give o(d).
-8
Let b(w) = w**2 + 10*w + 31. Suppose 19 - 55 = g - 5*j, g = -2*j + 6. Give b(g).
7
Let q(s) = 228*s**3 + s**2 - 453*s**3 - 4 - 2*s**2 - 6*s + 226*s**3. Give q(-2).
-4
Let m(c) = c**3 - 4*c**2 - c + 52. Let g(s) = 3*s**3 - 9*s**2 - 9*s + 207. Let k(x) = -g(x) + 4*m(x). Give k(6).
-5
Let t be 2*1/(-2) + 1938/(-19). Let u = t - -96. Let s(k) = -k**3 - 6*k**2 + 4*k - 20. Let q be s(u). Let r(f) = -6*f**3 - f**2 + 2*f - 1. Calculate r(q).
-6
Let b(o) = -o**3 + 12*o**2 - 12*o. Suppose 3*d - 37 = -k, 2842*d - 2839*d - 3*k - 9 = 0. Give b(d).
80
Let h(s) be the second derivative of -s**4/24 - s**3 + 33*s**2 + 4*s - 4. Let c(w) be the first derivative of h(w). Give c(-3).
-3
Let u be -3 + 5 + -6 + 6. Let w be ((-1 - u) + 2)*(-11 + 8). Let m(b) = -b**2 + 11*b**w + 11 - b - 4*b**3 - 5*b**3 - b**3. Calculate m(0).
11
Suppose 4*h - 342 = -2*h. Let c(l) = -15*l + 114 - h + l**2 - 48. Give c(14).
-5
Let h = -605 - -618. Let k(w) = -w - 10 - 11 + 30 + h. Calculate k(16).
6
Let g(z) = -2*z + 7. Let s be g(6). Let o(w) = w**2 + 56*w - 2. Let k(x) = -6*x**2 - 287*x + 5. Let y(p) = k(p) + 5*o(p). Calculate y(s).
5
Let b(m) = m**2 + 3*m - 12. Let d(p) = 23*p**2 - 3 - 22*p**2 - 22*p + 19*p. Let k be d(2). Give b(k).
-2
Suppose 2*q + 6 + 6 = -4*u, 0 = -2*u + 2*q. Let g(n) = 30*n - 4. What is g(u)?
-64
Let w(t) be the third derivative of t**4/8 + 2*t**3 + 98*t**2. Let h(l) = l**3 - 7*l**2 - 12*l + 28. Let p be h(8). Calculate w(p).
0
Suppose -v + 6*v = 0. Let g(y) = y**2 - 19*y + 21. Let p be g(18). Let z(m) = -m - p - m**2 + 16 + 2*m**2. Give z(v).
13
Let r(j) = 2716*j**2 - 25*j - 2708*j**2 + 27*j - j**3 - 1 + 2. Give r(7).
64
Suppose 3*k - 6 = 12. Let d(z) be the first derivative of z**4/24 - 5*z**3/6 - z**2/2 - 180*z + 245. Let s(m) be the second derivative of d(m). Give s(k).
1
Suppose j - 4*w - 7 = 0, -40*j + 2*w - 9 = -37*j. Let k(q) = -q**3 - 5*q**2 + 5*q + 5. Calculate k(j).
-20
Let k(h) = 37252*h**2 - 13 - 14 - 37251*h**2 - 17*h. Give k(18).
-9
Let w(x) = -4 + 19*x - 2 - 13 - x**2. Determine w(18).
-1
Let d(r) = 221 - 353 + r + 2*r**2 + 132. Give d(2).
10
Suppose -5*c = 5*h - 10, c - 5 = h - 3. Suppose h*p - 44 = -4*p. Let u(l) = -5*l + p*l + 20*l**2 + 3*l - 8*l. Calculate u(-1).
19
Let s(k) be the third derivative of -k**4/24 + k**3/3 - 2471*k**2. | {
"pile_set_name": "DM Mathematics"
} |
te y(l).
-3
Let g(p) = -p**3 + 12*p**2 - 13*p + 15. Let o(t) = -t + 1. Let a(f) = g(f) - o(f). Let z be a(11). Let c(x) = -x**2 - x + 4. Determine c(z).
-8
Let q(v) = -v**2 - 4*v - 1. Suppose -44 = -5*x + 11. Suppose -5 = x*c + 28. Give q(c).
2
Let p(b) = b**3 + 8*b**2 + 6*b + 8. Suppose -174 = 6*a - 132. Give p(a).
15
Suppose -7*n - r - 4 = -3*n, 0 = 3*r - 12. Let p(l) = 3*l**3 + 8*l + 11. Let i(z) = -z**3 - 4*z - 5. Let q(x) = 5*i(x) + 2*p(x). Determine q(n).
-3
Suppose 9*q - 24 = 7*q. Let c(r) = -2 + 8*r - q*r + 6*r**2 + 10*r - r**3. Determine c(7).
-9
Let h be (-1)/((-56)/(-84) + (-2)/(-6)). Let i(w) = -w - 3. What is i(h)?
-2
Let y(i) be the third derivative of 0 + 1/24*i**4 + 1/3*i**3 + 0*i + 7*i**2. What is y(-4)?
-2
Let p(k) be the first derivative of k**4/6 + k**3/6 - 18*k + 13. Let z(m) be the first derivative of p(m). Give z(2).
10
Let s(u) = -7*u + 49. Let v(f) = 18*f + 8*f + 6 - 27*f + 0. Let a(q) = -6*s(q) + 49*v(q). Let t be 2/3 - 1/(-3). Give a(t).
-7
Let t(f) = -f**3 - 4*f**2 - 3*f - 4. Let z(u) = u**3 + 3*u**2 - 6*u - 4. Let h be z(-4). Suppose 8 = -h*v - 8. Let i be -4*(3 - (-9)/v). What is t(i)?
-4
Let t(z) = z**3 + 0 - 432*z**2 - 2*z**3 + 431*z**2 - 4. Determine t(3).
-40
Suppose 9 = q + 3*g, -3*q + 4*g - 12 = q. Let b(j) = 42 - 41 + q*j - 3*j + 6*j. What is b(-2)?
-5
Let d(p) = -p**3 - 3*p**2 + 3*p - 1. Let u be (102/(-85))/(6/(-100)). Suppose -u = -14*q + 19*q. Determine d(q).
3
Let l(y) = y**3 - 10*y**2 - 12*y + 4. Suppose -10*m - 2*q = -5*m - 53, 8*m = -4*q + 84. Calculate l(m).
-7
Let d(s) be the first derivative of -s**4 + s**3/3 - s**2 + s + 2024. Suppose -2*c + 5*r - 2 = 3*r, 2*c + 5*r = -37. Let f be (0 + 3)*(-2)/c. What is d(f)?
-4
Let d(n) = -9*n + 15. Let b be d(13). Let w = 93 + b. Let z(p) = p**2 + 8*p - 11. What is z(w)?
-2
Suppose -4*h + 1 = -2*t + 11, 0 = t + 5*h - 26. Let y(r) = -r**2 + 12*r - 9. What is y(t)?
2
Let x(o) = -9*o - 16. Let f(n) = -7*n - 15. Let z(c) = -4*f(c) + 3*x(c). Determine z(-8).
4
Let u(c) = -c**3 + 6*c**2 + c - 1. Let n be 6/(-15) + 1272/30. Suppose -b + 8*b = n. Calculate u(b).
5
Let j(f) = 6*f + 4. Let a = -1335 - -1338. Give j(a).
22
Let x be 3/1*-1 - -1. Let n be x*3/10*-5. Let o(s) = -11*s + 20*s + n - 8*s. Give o(4).
7
Let f(p) = -p**3 - 6*p**2 - 7*p - 8. Let n be f(-5). Let l(c) = 2*c - n - c + 3 + 3. What is l(-6)?
-2
Let h(q) = 5*q**2 + 2*q + 8. Let l(t) = -2*t**2 + t - 1. Let f(m) = h(m) + 3*l(m). Calculate f(7).
-9
Let r(f) = -f**3 + 7*f**2 - 6*f - 5. Let c(j) = -j**2 - 5*j + 6. Let g be c(-5). Suppose 0 = -5*d - 4*w + 31 + 11, -g = -2*w. What is r(d)?
-5
Let q(o) = -o**3 + 1. Let s(k) = -14*k**2 - k + 20. Let v(x) = q(x) - s(x). Give v(14).
-5
Let h(u) be the first derivative of 5/2*u**2 - 68 + 1/3*u**3 + 2*u. Let t be (-32)/6 - (-2)/(-3). Determine h(t).
8
Let m(s) = -2*s - 4. Suppose 0 = 4*l + 14 - 2. Let v be m(l). Let n(k) = -7*k + 3. Calculate n(v).
-11
Suppose i - w + 4 = 0, i - 6*i = -3*w + 10. Let s(b) be the second derivative of b**4/3 - b**3/6 + 4*b. Determine s(i).
3
Let d(y) be the second derivative of 0 + 1/2*y**2 + 1/4*y**5 - 2*y + 0*y**4 + 0*y**3. Suppose 4 = -564*j + 568*j. What is d(j)?
6
Let a = -71 + 71. Let m(t) = -5*t**3 + 3*t - 2. Let h(y) = -9*y**3 + 5*y - 3. Let f(z) = 4*h(z) - 7*m(z). Calculate f(a).
2
Let g(d) = -4*d**2 - 1. Let l(y) = -12*y**2 - 6. Let k(c) = 12*c**2 + 7. Let u(z) = -3*k(z) - 4*l(z). Let f(a) = -8*g(a) - 3*u(a). What is f(-1)?
-5
Let u(p) = 19*p - 9. Let t be u(4). Let d = -48 + t. Suppose -5*f = 3*s + d, s + 2*f - 26 = 4*s. Let j(x) = -x. Give j(s).
8
Let g be -7*(0 - 12/21). Suppose 2*s + 2 = 3*s. Let y(z) = -2*z + z - z**2 - 5*z + 3*z**s. What is y(g)?
8
Let r(i) = i + 1. Let z(v) = 3*v**2 + 5*v + 1. Let d(y) = -4*r(y) + z(y). Give d(-3).
21
Let j(u) = u**2 + u - 1. Let a(t) = 4*t**2 + 5*t - 3. Let i(y) = -2*a(y) + 7*j(y). Suppose -3 = 5*h + 2. Calculate i(h).
1
Suppose -4*k = 2*g + 2, -19 = -4*g + 5*k + 29. Let t(i) = 443 - 441 - 36*i + 35*i. Give t(g).
-5
Let z(l) = l**2 - 17*l + 2. Let s = -2063 - -2077. Determine z(s).
-40
Let z be -4 - (-54)/(-1 + 7). Suppose -5*q - 10 = -5*k, -z*q - 10 = -2*k - 0. Let j(f) be the first derivative of f**3/3 - f**2/2 + 5*f + 1. Determine j(k).
5
Let k(o) = -7*o**3 + 6*o**2 - 2. Let h(v) = 3*v**3 - 3*v**2 + 1. Let x(g) = -9*h(g) - 4*k(g). What is x(-2)?
3
Let i(h) = -2*h**3 - 4*h**2 - h + 2. Let f(b) = b**3 - 5*b**2 - 3*b + 6. Let v be f(5). Let o = v + 9. Let r be -3*4/6 - o. What is i(r)?
4
Let f(j) = -j**3 + 4*j**2 - j + 9. Suppose 34*z = -22 + 158. What is f(z)?
5
Let r(l) = 1 - 1 + 3*l**2 + 7 + 3*l**2 - l**3 - 4*l - l**2. What is r(5)?
-13
Suppose -3*v + 32 = -5*y, 0*y + 4*v - 17 = 3*y. Let j(s) = -4 + 769*s + 1 - 776*s - 2 - s**2 - 1. Calculate j(y).
-6
Let t(c) = 315 + 304 + c - 618. Give t(-3).
-2
Let s(z) = z**3 + 6*z**2 + z + 4. Let n be (-108)/44 - 2*9/33. What is s(n)?
28
Suppose 2*r + 17 = p + 4*p, 0 = r - 4*p + 10. Let c(f) be the third derivative of f**6/120 + f**5/10 - f**3/3 - 124*f**2 + 2*f. Give c(r).
-2
Let k(v) = 12*v - 12*v + 4 - 12 - 8 + v. Determine k(18).
2
Let n(p) be the second derivative of -p**4/12 - p**3/6 - p**2/2 - 16*p. Let w(m) = 3*m**2 + 3*m. Let l(s) = 4*n(s) + w(s). Give l(-5).
-24
Let h = 162 + -157. Let u(f) = -h + 62*f**2 - 8*f - 134*f**2 + 66*f**2 - f**3. What is u(-5)?
10
Let r(o) = -o**2 + 6*o + 9. Suppose -144 = -12*x - 6*x. Calculate r(x).
-7
Let z(l) = -l**2 + 3. Let n(j) = 3*j**3 + 5*j**2 + 3*j**3 + 8*j + 7 + 5*j - 7*j**3. Let x be n(7). What is z(x)?
3
Let t = -83 + 83. Suppose -4*d - 18 = -2*o, 0 = -t*o - 2*o + 6. Let m(n) = n - 4. Calculate m(d).
-7
Let x(d) = -2*d + 1. Let k(f) be the third derivative of -f**6/120 + f**5/60 + f**4/12 - f**3/6 - 10*f**2. Let y be k(0). Give x(y).
3
Let t(l) = -l**2 + l + 10. Let m(h) = h**2 - 4*h - 24. Let y be m(8). Suppose 20 = -z - y*p + 3*p, -2*z = -4*p - 16. Determine t(z).
10
Let u(b) = 2*b**2 - 11*b - 5. Let y(q) = -q**2 + 12*q + 7. Let l(n) = -2*u(n) - 3*y(n). Determine l(-13).
2
Let l(v) be the third derivative of -v**9/60480 + v**8/20160 + 13*v**5/20 + 33*v**2. Let y(g) be the third derivative of l(g). What is y(-1)?
2
Let z(k) = -3*k - 15. Let a(d) = 2*d + 14. Let c(u) = 4*a(u) + 3*z(u). Let x be ((-11)/(-2))/(2/4). Suppose s + x = 18. Give c(s).
4
Let b(d) = -406*d**2 + 2*d**3 + 137*d**2 + 130*d**2 - 1 - 2*d + 137*d**2. Determine b(-2).
-21
Let k(n) = 3*n**2 + 71 + 69 - 135 + 15*n - n**2. Calculate k(-7).
-2
Let k(b) = -7*b + 171*b**3 - 8*b - 172*b**3 + 6*b + 5 + b**2. Let m(r) = -r**3 + r**2 - 8*r + 4. Let f(g) = 6*k(g) - 7*m(g). What is f(-2)?
-14
Let q(g) = 16*g + 1. Suppose 0 = -3*x + 4*r + 1 - 2, 37 = 5*x + 3*r. Suppose 3*v = -x + 17. Suppose 2*i + 18 = 5*y - y, -v*i = y. What is q(i)?
-15
Let y = 109 - 105. Let l(u) be the third derivative of 4*u**2 - 1/120*u**6 + 0*u + 0 - 1/3*u**y + u**3 + 1/10*u**5. Determine l(5).
-9
Let r = -43 + 45. Let a(n) = 4*n + 0 + 2*n**r + 3 - n**2 + 2*n. Determine a(-7).
10
Let x(r) = r**3 + 2*r**2 - 2*r - 1. Suppose 5*p + 6 = -4. Let w be x(p). Let t(b) = w - 3 - 4*b - 2 + 6*b. Determine t(3).
4
Let b(m) = 1 - 2 - 3 + 5 + 2*m. Give b(2).
5
Suppose 5*c = -2 + 17. Let m(d) = -d**2 + 4. Let w be m(c). Let a(f) = f**3 + 5*f**2 - f - 3. Determine a(w).
2
Suppose -4*j - 2*n - 118 = 0, 3*j + 2*n = 6*n - 61. Let d = -24 - j. Let l(r) = -7 + 0 - 2*r + d. What is l(-4)?
4
Let j(x) be the first derivative of -5*x**3/3 + x + 5. Let n(y) = y + 9. Let q be n(-8). Give j(q).
-4
Let j(w) = -2*w**3 - 4 + 5 + w + 7*w**3. Let k(c) = 19*c + 37. Let s be k(-2). Calculate j(s).
-5
Let t = -88 - -90. Let x(b) = -b - 5*b**t + 4*b**2 + 3*b**2. What is x(-1)?
3
Let u(k) = -k - 5. Let l(j) = -j - 2. Let o(n) = 6*l(n) - 5*u(n). Determine o(8).
5
Let k(g) be the second derivative of g**6/180 + g**5/60 + g**4/8 - 4*g**3/3 + 2*g. Let s(b) be the second derivative of k(b). Calculate s(-2).
7
Let h = 3 + -22. Let z = -16 - h. Let x(m) = z*m + 2*m - 5*m - 2*m - 7. Calculate x(-6).
5
Let u(p) = -37*p - 68. Let n be u(-2). Let d be 4*(3/(-2) - -2). Let g(r) = d*r - r - 1 - 2. What is g(n)?
3
Let s(x) = x**2 + x - 28. Let z be s(-5). Let g(l) = l**2 + 7*l - 3. Calculate g(z).
5
Let y(l) = l**3 - 2*l**2 - 7*l + 2. Let h be (-7 - (-135)/18)*8. Determine y(h).
6
Let v = -170 - -161. Let p(b) | {
"pile_set_name": "DM Mathematics"
} |
-6)**2.
sqrt(7)/6 + 2041200
Simplify 3 + 2 + (sqrt(1539)*5)**2*5 + (sqrt(1539) - (sqrt(1539) + 5)*-2).
27*sqrt(19) + 192390
Simplify (-1*sqrt(80) - (2 + -2 + sqrt(5)))**2 + (sqrt(3520)/sqrt(11) - (sqrt(5) - (sqrt(30)*2)/sqrt(6))).
9*sqrt(5) + 125
Simplify (sqrt(95) - -1*(((sqrt(95) - sqrt(95)*-1) + sqrt(95) - sqrt(95)) + sqrt(95)) - -6*sqrt(95)*1)/(sqrt(125)*6 - (-1*sqrt(25)/sqrt(5) - sqrt(5))).
5*sqrt(19)/16
Simplify ((sqrt(15)/(sqrt(3)*-1*-2) - (2 + (sqrt(80) + sqrt(5))*5))*4*5*-2)**2 + 0.
156800*sqrt(5) + 4808400
Simplify (3 + -4 + 4*(-3 + ((sqrt(320) + 0)**2 - sqrt(320))))*-2*-6.
-384*sqrt(5) + 15204
Simplify 4*(sqrt(18)*2 + 0 - (sqrt(72) + 1) - (sqrt(30)/sqrt(27))/(-1*sqrt(605))).
-4 + 4*sqrt(2)/33
Simplify -5*(-3 + (sqrt(19) - sqrt(95)/sqrt(5)) + sqrt(475) + 3 - 2*((-2*sqrt(456))/sqrt(8))/sqrt(3))**2.
-7695
Simplify (sqrt(2057) + 2 + -3 + 4 - (((-3 + sqrt(68))*-2)**2 + 5)) + 3.
-307 + 59*sqrt(17)
Simplify -5 + ((-4 + (-1 + sqrt(847) - sqrt(847))*-6*-1 + (sqrt(847) - 6*(sqrt(847) + 0)) + sqrt(847) + 2 + sqrt(847) + sqrt(847)*-1)*-1)**2.
704*sqrt(7) + 13611
Simplify (5*(2*(sqrt(2736) + 0) + sqrt(2736) + 1 + -1) - (sqrt(1216) + sqrt(1216)*2 + sqrt(2299) + -1 - -6*5*sqrt(76)))**2.
170*sqrt(19) + 137276
Simplify (-4*(sqrt(66) + -3*-5*sqrt(66)))/(sqrt(24)/(2*-2*sqrt(4))).
256*sqrt(11)
Simplify (2 + (-1*-3*((sqrt(500) - (-2 + sqrt(500))) + -2))**2 + 5 + 0)*4.
28
Simplify (((sqrt(68) + sqrt(68)*-2 - sqrt(68) - sqrt(68))*-5)/sqrt(4) - sqrt(136)/(2*sqrt(800))) + ((-4*(-1 + sqrt(272)))**2 - -6*(sqrt(1700) + 0)).
-1061*sqrt(17)/20 + 4368
Simplify (-3*(sqrt(100)*-4*-1)/(sqrt(6)/sqrt(675)))**2.
1620000
Simplify (2*(-4*(1*sqrt(77)*-5 + sqrt(77) - sqrt(77) - -3*sqrt(77)*-1))/(-3*(2*sqrt(7)*2 + sqrt(7))*-4))**2.
2816/225
Simplify 2 + (3*((sqrt(17) + -1)*-2 - (-1 + sqrt(17) + -5)) - (-2*(sqrt(68) + 1) + -2)).
-5*sqrt(17) + 30
Simplify ((sqrt(2448)*-2*2 - (-2 + sqrt(2448))*3) + (-2*sqrt(187)*-2)/(sqrt(275)*1))**2.
-4992*sqrt(17)/5 + 2942852/25
Simplify ((sqrt(171) - (-3*sqrt(171) + -3) - sqrt(171))*-2 + (sqrt(171)*2 + sqrt(171) + -1 - 5*-2*sqrt(171)))**2 + 2.
-294*sqrt(19) + 8430
Simplify -5 + -4 + (sqrt(45)/(sqrt(9) + sqrt(9)*1) - -1*sqrt(80)) + sqrt(5) + 1*(sqrt(5) - -4*sqrt(5)) + (sqrt(180)/sqrt(9))**2.
11 + 21*sqrt(5)/2
Simplify (sqrt(77) - 4*sqrt(77)*-1 - (sqrt(77)*2*-3 - sqrt(77)))/((3*sqrt(280)*-4)/sqrt(10)).
-sqrt(11)/2
Simplify (-3 + (sqrt(176) - sqrt(176)*1)**2 - (sqrt(1331) + sqrt(1331) + sqrt(1331)*-1*-5)**2) + ((sqrt(275) + 1)*2 + -5)**2*-4.
-69658 + 240*sqrt(11)
Simplify (((sqrt(400)*2*2 - sqrt(400))/(2*sqrt(288) - sqrt(8)))/(sqrt(1000)*1 - sqrt(70)/sqrt(343)))**2.
245/64009
Simplify -4*sqrt(448) + (1 + sqrt(112) + sqrt(7))**2 + (-2 + (-1*sqrt(7) - sqrt(7)))**2 + -3*4*sqrt(7).
-26*sqrt(7) + 208
Simplify -2 + (-3*(4 + (sqrt(1216) + 0 - sqrt(1216)) - -4*sqrt(1216)*1))**2 + -5 + -3 + 4.
2304*sqrt(19) + 175242
Simplify (((sqrt(612) - (0 + sqrt(612))) + -1 - sqrt(612) - (sqrt(612) - (sqrt(612) - (sqrt(612) + -1 + 0))) - -6*(3*(2 + sqrt(612)) - sqrt(612)))**2 + 4)*2.
8640*sqrt(17) + 125000
Simplify 1 + (0 + (2 + -5*(sqrt(396) + 0) + -1 + (sqrt(396) + 1 - sqrt(396)) + (sqrt(396) - (4 + -1 + sqrt(396) - sqrt(396))))*-3)**2.
432*sqrt(11) + 57034
Simplify 0 + (-1*(sqrt(468) + sqrt(468) + -2*sqrt(468) + 0) - ((1*(sqrt(468) + (sqrt(468) - sqrt(468)*-2)) - sqrt(468)) + 5))**2 + 2.
180*sqrt(13) + 4239
Simplify -3 + ((-1 + sqrt(1300) + 2 - (sqrt(1300) + (sqrt(1300) - ((sqrt(1300) + 6*sqrt(1300))*5 - sqrt(1300))) + sqrt(1300))) + -5)**2.
-2560*sqrt(13) + 1331213
Simplify (3*sqrt(1377)*4 + 4*sqrt(34)/sqrt(2) + (1*sqrt(612))**2 + -5)*-3.
-1821 - 336*sqrt(17)
Simplify ((1 + (-5*(sqrt(136) - -6*-3*sqrt(136) - sqrt(136)))/(sqrt(40)/sqrt(5)*1 - (sqrt(8) - (2*sqrt(24))/sqrt(3))))*6)**2.
3240*sqrt(17) + 1239336
Simplify -2 + 1*sqrt(15)/(sqrt(5) + sqrt(5) + 1*sqrt(5)) + (sqrt(15)*1*-1)/(sqrt(40)/(sqrt(16)/sqrt(2))).
-2 - 2*sqrt(3)/3
Simplify ((sqrt(300)*-3 - (sqrt(36) + sqrt(144)/sqrt(4) - sqrt(36))/sqrt(3))/(-3*(2*sqrt(100)*-2 - sqrt(100))))**2.
256/1875
Simplify (sqrt(132)/(sqrt(1331) - -4*sqrt(1331)))/(1*sqrt(150) + (sqrt(66) + (2*sqrt(66) - sqrt(66)))/sqrt(11)).
sqrt(2)/385
Simplify ((sqrt(675) + (2*sqrt(675) + sqrt(675))*-1)*5)/((sqrt(99) - (sqrt(99) - sqrt(99)*2)*-2)/(sqrt(22)/sqrt(2)*-6)).
-300*sqrt(3)
Simplify -2*(-1 + -4 + (2*sqrt(180) - sqrt(180))**2 + (-1 + 2*sqrt(180))*-2).
-354 + 48*sqrt(5)
Simplify -1 + -3*(2 + sqrt(171) + 1 - 2*sqrt(171)*-1 - (-1*sqrt(171)*-2 + 5 + sqrt(171) + 1))**2.
-28
Simplify ((sqrt(792) - -3*sqrt(792))*3)/(sqrt(22)/(5*4*sqrt(2))).
1440*sqrt(2)
Simplify (-1*(sqrt(18) + sqrt(18) + sqrt(18)*3 + sqrt(18))/sqrt(9)*-6 + 1*((sqrt(2) - sqrt(8)) + -1 - (sqrt(50) - sqrt(450) - sqrt(50))) + -2)**2.
-300*sqrt(2) + 5009
Simplify (-2 + sqrt(847)*-1 + 5)**2 + ((sqrt(2401) - 2*sqrt(2401)) + sqrt(49))/sqrt(7) + 5.
-72*sqrt(7) + 861
Simplify (4*-6*sqrt(204)*-6)/(2*(sqrt(768)*3 + sqrt(768) + sqrt(12))).
24*sqrt(17)/11
Simplify (((sqrt(198)*2 - sqrt(198))*-6)/sqrt(6)*6)/((sqrt(216)/sqrt(6))/(sqrt(3) + sqrt(81)/sqrt(3))).
-72*sqrt(11)
Simplify (2 + -4*(-5 + 5 + -4*(sqrt(637) - (sqrt(637) - (sqrt(637) - (sqrt(637)*2 + -5))) - sqrt(637))) + -4)**2.
-34944*sqrt(13) + 658372
Simplify (((sqrt(56) - sqrt(56)*1)*3 + sqrt(56))/sqrt(8) + 2*(-2*sqrt(84))/sqrt(12) + -5*(1*sqrt(700)*-5 + sqrt(700) + 1*sqrt(700)*4 + sqrt(700)))**2.
19663
Simplify (-3 + -5 + (sqrt(245) - (sqrt(245) + sqrt(245)*-2))*1 + sqrt(245)*-2 + 4 + 3*sqrt(245) + -2)**2 + -2.
-252*sqrt(5) + 2239
Simplify (-2*sqrt(1911)*3 - (sqrt(1911) - (-1*sqrt(1911)*2 - sqrt(1911))))/((sqrt(3) - (3*sqrt(363) - sqrt(363))) + sqrt(27)*4).
70*sqrt(13)/9
Simplify ((1*(sqrt(3146) + sqrt(3146)*1)*-5)/(4*sqrt(50) + sqrt(16)/sqrt(2)))**2.
325
Simplify (5 + (-2*(sqrt(55) - (((sqrt(1980)*-1 - sqrt(1980)) + sqrt(1980) - sqrt(1980)) + sqrt(55)) - sqrt(55))/(sqrt(40)/sqrt(72)))**2)*4 + 0.
191684
Simplify (sqrt(4212)*1)/(sqrt(196) - 1*sqrt(196) - sqrt(196)) - (-2 + sqrt(208)*-2*2).
2 + 103*sqrt(13)/7
Simplify -5*((sqrt(13) - (4 + sqrt(13)*-3))**2 + -5 + 5 + -1 + sqrt(468) + 2).
-1125 + 130*sqrt(13)
Simplify (-3*sqrt(88)*2)/(sqrt(8) - (-3*sqrt(648) + sqrt(648) + sqrt(648))) + (sqrt(539)*3 + sqrt(55)/(sqrt(10)/sqrt(2)))**2.
-3*sqrt(11)/5 + 5324
Simplify (2*(sqrt(350) - sqrt(350)*-2) + sqrt(350) + 6*sqrt(350)*1)/(-6*(sqrt(1008) - sqrt(1008)*-1) + sqrt(1008)*-2*-1).
-13*sqrt(2)/24
Simplify (sqrt(48)/sqrt(72) - (sqrt(6) - (sqrt(72) - (sqrt(72) + sqrt(72)*2))/sqrt(12)))/(-3*3*sqrt(3)*-1) + -2.
-2 - 8*sqrt(2)/27
Simplify (3 + 1*sqrt(7) - (-3 + (sqrt(70)/sqrt(10))**2)) + (5 + (3 + sqrt(567) - sqrt(567)))**2 + 4.
sqrt(7) + 67
Simplify 2 + ((4*-2*sqrt(360) - (sqrt(360)*-2*1 + sqrt(360)))/(sqrt(48)/(-5*(sqrt(6) + sqrt(24)))) + 3)**2.
1890*sqrt(5) + 496136
Simplify 3 + (sqrt(605) - (sqrt(605)*2 + sqrt(605))) + 0 + (sqrt(605) + -2*((sqrt(605) + -1)**2 - sqrt(605)) - (sqrt(605) + 1*sqrt(605))*1) + 2.
-1207 + 33*sqrt(5)
Simplify (5*((sqrt(48)/sqrt(3)*-5 + sqrt(16))*5)/(2*sqrt(32)*5)*-4)**2.
800
Simplify (((4 + 4 + sqrt(171) + -5*(sqrt(171) - -1*sqrt(171)))*-3)**2 + -2)*2 + 1.
-7776*sqrt(19) + 250467
Simplify -1*((-6*2*sqrt(304))**2 + -1 + (1 + (2*sqrt(304))**2 - (sqrt(304) + (sqrt(304) - (sqrt(304) + sqrt(304) + -2 + sqrt(304) - sqrt(304))) + -4))).
-44994
Simplify (3*1*-1*(sqrt(209) + (sqrt(209) - (sqrt(209) + sqrt(209) + sqrt(209)*-1))*-6))/(3*4*(sqrt(1584) + -3*-2*sqrt(1584) + sqrt(1584))).
-sqrt(19)/384
Simplify (-1 + 2*sqrt(135)/sqrt(3)*4 + (sqrt(405) + -3*sqrt(405)*2 + sqrt(405))/sqrt(9))*-4.
-48*sqrt(5) + 4
Simplify (3 + 1*sqrt(1573) + sqrt(1573) + (1*sqrt(1573) - sqrt(1573)) + 2 + sqrt(1573))*6 - ((-1 + 3 + -2*sqrt(1573))*3)**2.
-56634 + 990*sqrt(13)
Simplify (((1*(sqrt(405) + 2) - sqrt(405)) + -5 + 1 + sqrt(405))*2 - (-4 + -4*((2 + sqrt(405))*5 + sqrt(405) + sqrt(405))))**2.
21600*sqrt(5) + 366100
Simplify (5*4*sqrt(304) + 3 - (0 + sqrt(304)*2 + (sqrt(304) + 0 + (sqrt(304)*2 - sqrt(304)) - sqrt(304))))**2.
408*sqrt(19) + 87865
Simplify (sqrt(209) + sqrt(209)*3 + sqrt(209) + sqrt(209))/sqrt(11) + 4*sqrt(152)/sqrt(8) - (sqrt(475)*1)**2*1*6.
-2850 + 10*sqrt(19)
Simplify 2*(((sqrt(2299) + -1)*-1 - (sqrt(2299)*1 + 4 + sqrt(2299))) + -2*(-1 + sqrt(2299) - sqrt(2299)) + -1*sqrt(2299)*-3)**2*3.
6
Simplify ((-2 + (-3*sqrt(468) - s | {
"pile_set_name": "DM Mathematics"
} |
) = 3*v**3 - 3*v**2 + 6*v - 2. Determine y(4).
166
Let y(d) = -d**3 - 8*d**2 + 7*d - 8. Give y(-6).
-122
Let f(n) = 5*n**3 - 42*n**2 - 36*n - 17. Calculate f(9).
-98
Let t(s) = -3*s**2 - 247*s + 1017. What is t(4)?
-19
Let h(w) = w**3 + 5*w**2 + 1130*w + 6811. Give h(-6).
-5
Let t(r) = 3*r**2 - 121*r - 155. Give t(41).
-73
Let s(i) = -7*i**2 + 706*i + 115. Determine s(101).
14
Let f(i) = -7*i + 184. Give f(26).
2
Let j(t) = -t**2 - 24*t - 56. Give j(-13).
87
Let u(j) = -304*j**2 + 5*j + 6. What is u(-1)?
-303
Let h(d) = 3*d**3 + 8*d**2 - 5*d + 3. Calculate h(-3).
9
Let y(n) = 2876*n + 31644. What is y(-11)?
8
Let i(g) = -184*g**2 + 1069*g + 204. What is i(6)?
-6
Let f(x) = 155*x**2 - 1081*x - 9. Determine f(7).
19
Let t(z) = 96*z + 315. What is t(-3)?
27
Let u(q) = 3*q**2 + 5*q - 16. Give u(8).
216
Let y(s) = 223*s - 12. Calculate y(1).
211
Let f(p) = 14*p + 201. What is f(-4)?
145
Let z(k) = 8*k**3 - 2*k**2 + 5*k - 8. What is z(2)?
58
Let a(w) = 4*w**3 + 23*w**2 - 68*w - 366. Determine a(-6).
6
Let j(g) = -49*g**2 - 158*g - 22. What is j(-3)?
11
Let n(v) = 873*v - 6176. Give n(7).
-65
Let d(l) = -5*l**3 + l**2 - 8. What is d(-3)?
136
Let p(c) = -1147*c + 20615. Determine p(18).
-31
Let n(i) = -i**2 + 41*i - 146. Give n(36).
34
Let l(g) = g**3 + 5*g**2 - 17*g - 13. Give l(-7).
8
Let w(s) = -s**2 + 41*s - 229. Calculate w(34).
9
Let p(u) = 3*u**2 - 71*u + 114. What is p(22)?
4
Let l(q) = 24*q + 1209. What is l(-26)?
585
Let t(o) = 2*o**3 - 121*o**2 + 61*o + 13. Determine t(60).
73
Let t(m) = -19*m + 769. Calculate t(40).
9
Let q(v) = 3*v**2 - 11*v - 108. Determine q(-6).
66
Let p(s) = -13*s + 84. Calculate p(3).
45
Let g(j) = -241*j + 492. Determine g(2).
10
Let x(h) = -487*h - 2886. What is x(-6)?
36
Let j(b) = -b**2 + 224*b + 3827. Determine j(-16).
-13
Let d(l) = -7*l**2 - 60*l + 160. Determine d(-12).
-128
Let t(y) = 118*y + 3907. Determine t(-33).
13
Let s(d) = -5*d + 111. Determine s(18).
21
Let b(p) = p**3 + 10*p**2 + 22*p + 26. Give b(-9).
-91
Let z(u) = 3*u**2 - 454*u - 303. Give z(152).
1
Let p(o) = -7*o**2 - 17*o - 15. Determine p(-1).
-5
Let h(y) = y**2 - 52*y - 173. Calculate h(55).
-8
Let q(k) = -k**3 + 7*k**2 + 13*k + 158. What is q(9)?
113
Let h(z) = -z**2 + 26*z + 747. Determine h(-19).
-108
Let c(s) = 13*s - 431. Calculate c(6).
-353
Let y(a) = -324*a - 44. What is y(-1)?
280
Let w(v) = -v**3 - 170*v**2 + 156*v - 2562. Calculate w(-171).
3
Let a(o) = -4*o**3 - 68*o**2 - 6*o + 114. What is a(-16)?
-814
Let b(a) = -5*a**2 + 27*a + 57. Give b(13).
-437
Let h(d) = 30*d**2 - 46*d + 51. Give h(1).
35
Let l(d) = d**3 + 75*d**2 + 310*d + 1842. What is l(-71)?
-4
Let g(h) = 3*h**2 + 15*h + 19. Give g(-4).
7
Let n(z) = -z**3 + z**2 + 23*z - 23. What is n(6)?
-65
Let k(p) = -204*p**2 + 4483*p - 31. Calculate k(22).
-141
Let w(u) = 4*u**2 + 20*u - 21. Calculate w(2).
35
Let a(c) = 3320*c - 16566. Determine a(5).
34
Let p(x) = 109*x**3 + 2*x**2 - x - 2. Determine p(1).
108
Let o(c) = -4*c**2 + 9*c - 21. Give o(4).
-49
Let c(j) = -7*j**2 - 275*j - 543. Give c(-2).
-21
Let u(l) = l**3 - 41*l**2 - 73*l - 573. Calculate u(43).
-14
Let f(y) = 10*y**2 + 2680*y + 2679. Determine f(-1).
9
Let q(x) = x**2 + 3872*x + 23191. What is q(-6)?
-5
Let r(m) = 32*m**3 + 5*m**2 - 12*m + 12. What is r(2)?
264
Let n(y) = -2*y**2 + 35*y + 1321. Give n(36).
-11
Let g(i) = 11*i**2 - 79*i - 13. Calculate g(7).
-27
Let w(v) = -2*v**3 - 5*v**2 + 177*v + 358. Give w(-2).
0
Let f(z) = -z**2 + 13*z - 89. Determine f(-15).
-509
Let k(v) = -23*v**3 - 90*v**2 - 9*v - 58. What is k(-4)?
10
Let l(w) = -4458*w - 26745. What is l(-6)?
3
Let w(p) = -8085*p - 8103. Give w(-1).
-18
Let h(n) = n**2 - 10*n + 31. What is h(8)?
15
Let z(m) = -m**2 - 22*m + 378. Determine z(-33).
15
Let k(h) = h**3 + 40*h**2 - 126*h - 5. Give k(3).
4
Let d(p) = -p**2 + 8946*p + 3. Give d(0).
3
Let d(t) = -275*t + 1884. What is d(7)?
-41
Let g(b) = -63*b - 751. What is g(-12)?
5
Let m(i) = -101*i - 4933. What is m(-49)?
16
Let t(q) = 18646*q - 74564. Determine t(4).
20
Let r(c) = -c**2 + 81*c + 140. Give r(83).
-26
Let q(v) = 169*v**3 + v**2 + 9*v + 7. Give q(-1).
-170
Let r(t) = -16*t**2 + 278*t - 549. Give r(2).
-57
Let c(x) = 108*x + 1394. Calculate c(-13).
-10
Let g(d) = 3*d + 108. What is g(-7)?
87
Let x(k) = k**3 + 79*k**2 + 147*k - 580. Give x(-77).
-41
Let a(b) = 1438*b - 10059. Give a(7).
7
Let u(j) = -j**3 - 7*j**2 + 6*j + 17. What is u(-8)?
33
Let r(i) = -1225*i - 39192. What is r(-32)?
8
Let r(s) = s**3 - 56*s**2 - 63*s + 290. Give r(57).
-52
Let k(f) = -f**2 + 45*f + 307. Calculate k(51).
1
Let t(w) = -55*w - 2864. Give t(-52).
-4
Let f(y) = -y**2 + 37*y - 26. Determine f(33).
106
Let b(t) = -1739*t - 10427. Give b(-6).
7
Let a(v) = 21*v - 223. Give a(8).
-55
Let a(q) = -774*q + 56489. Calculate a(73).
-13
Let s(k) = 2*k**3 - 8*k**2 + 14*k - 35. Calculate s(3).
-11
Let y(c) = 1797*c - 16129. What is y(9)?
44
Let l(z) = -4*z - 342. Determine l(-66).
-78
Let w(o) = -105*o + 5808. Determine w(56).
-72
Let n(g) = -6*g**3 + 51*g**2 + 28*g + 7. What is n(9)?
16
Let a(j) = -3*j**2 - 9*j + 410. Give a(10).
20
Let m(f) = 18*f - 22. Give m(2).
14
Let u(o) = -o**3 + 14*o**2 + 37*o - 10. Give u(15).
320
Let r(m) = -886*m - 40759. What is r(-46)?
-3
Let i(y) = -y**3 + 7*y**2 - 16*y + 136. Give i(7).
24
Let n(t) = -t**3 + 26*t**2 + 37*t - 85. What is n(27)?
185
Let k(q) = -5*q**2 + 277*q - 35. Calculate k(52).
849
Let d(j) = 41*j + 27. Calculate d(-3).
-96
Let o(x) = 5744*x - 40192. What is o(7)?
16
Let q(s) = 48*s + 2907. What is q(-58)?
123
Let w(a) = -3*a**3 + a**2 - 7*a - 88. Calculate w(-6).
638
Let d(z) = -z**3 + 34*z**2 - 121*z + 27. Give d(30).
-3
Let n(k) = 187*k + 2882. Determine n(-15).
77
Let h(m) = 723*m + 1440. What is h(-2)?
-6
Let c(o) = 1231*o - 33232. Give c(27).
5
Let x(m) = 130*m + 1122. Give x(-10).
-178
Let u(w) = 3*w**3 - 18*w**2 + 21*w - 31. Determine u(5).
-1
Let u(y) = 4*y**2 - 232*y + 223. Determine u(57).
-5
Let w(p) = -2623*p**2 + 7871*p - 1. What is w(3)?
5
Let r(k) = -k**3 + 174*k**2 - 452*k + 18571. Determine r(172).
-5
Let r(k) = 343*k - 668. Calculate r(3).
361
Let o(y) = y**3 + 8*y**2 - 35*y - 3. Calculate o(-11).
19
Let q(m) = -32*m + 64. What is q(3)?
-32
Let u(w) = 2*w**3 + 98*w**2 - 204*w + 14. Give u(-51).
14
Let y(h) = h**2 - 38*h + 85. Calculate y(35).
-20
Let u(a) = -a**2 + 55*a - 148. What is u(52)?
8
Let w(b) = -52*b + 326. Give w(6).
14
Let u(f) = 196*f**2 - 53*f - 112. What is u(-2)?
778
Let n(h) = 196*h**3 - 2*h**2 + 2. Give n(1).
196
Let m(l) = -l**2 + 112*l + 1193. Give m(122).
-27
Let m(c) = c**2 - 21*c - 6168. Give m(-68).
-116
Let j(z) = 27*z**2 + 249*z + 737. Calculate j(-3).
233
Let a(f) = f**3 - 38*f**2 + 10*f - 399. Determine a(38).
-19
Let h(t) = 50*t - 1098. Determine h(22).
2
Let b(s) = -s**3 - 8*s**2 - 231*s + 5. Give b(0).
5
Let u(f) = -280*f - 3084. Determine u(-12).
276
Let k(v) = v**3 - 15*v**2 + 254*v - 2310. What is k(11)?
0
Let d(a) = -4*a**2 + 69*a - 109. Give d(16).
-29
Let o(h) = h**2 - 451*h - 911. What is o(-2)?
-5
Let s(z) = 83*z - 1666. Give s(20).
-6
Let w(g) = 6*g - 194. Determine w(33).
4
Let x(v) = -25*v**2 - 695*v + 144. Calculate x(-28).
4
Let z(g) = 165*g - 1314. Give z(8).
6
Let r(j) = -j**3 + 24*j**2 + 60*j - 164. Determine r(26).
44
Let x(y) = -y**3 + 17*y**2 - 71*y + 1. Calculate x(10).
-9
Let i(x) = -35*x**2 - 7. What is i(-2)?
-147
Let l(g) = -g**3 - 38*g**2 - 140*g + 46. Give l(-5).
-79
Let o(r) = 11*r**2 - 156*r + 391. Give o(11).
6
Let y(o) = 98*o + 221. Calculate y(-3).
-73
Let c(n) = -n**3 + 60*n**2 - 8*n + 737. Determine c(60).
257
Let m(z) = -z**3 - 4*z**2 + 5*z - 68. Calculate m(-7).
44
Let l(b) = 69*b + 234. What is l(-5)?
-111
Let t(k) = -424*k - 33. Determine t(0).
-33
Let n(x) = -x**3 - 59*x**2 - 116*x - 98. Give n(-57).
16
Let m(b) = -b**3 - 44*b**2 + 42*b - 190. Determine m(-45).
-55
Let w(p) = 170*p**3 - p**2 + 15*p + 16. Determine w(-1).
-170
Let q(r) = -r**3 + 44*r**2 + 292*r + 379. Give q(50).
-21
Let c(a) = -a**3 + 39*a**2 - 110*a + 78. Calculate c(36).
6
Let a(k) = -6*k**2 - 119*k - 203. What is a(-18)?
-5
Let r(m) = -49*m + 678. Calculate r(14).
-8
Let p(c) = -7*c**2 + 9*c - 65. Determine p(5).
-195
Let v(z) = 4*z - 130. Give v(16).
-66
Let n(w) = -w**3 - 8*w**2 + 2*w + 2. What is n(-8)?
-1 | {
"pile_set_name": "DM Mathematics"
} |
+ 4 - 1)*(1 - 1 - 1) - 1 + 0 - 1) to the form q*j**2 + l + y*j and give q.
-24
Express -4 + 58*i - 23*i - 29*i - 24*i in the form g*i + f and give g.
-18
Rearrange 205*z**3 + 12*z + 1 + 11*z - 46*z**3 - z**2 - 24*z to the form b*z**2 + u + n*z**3 + j*z and give u.
1
Rearrange -3 - 9*g**2 - 15*g**4 + 3*g**3 + 11*g**2 + 6*g**4 + 7*g**4 + 8*g**4 to the form q*g**3 + t*g + f*g**4 + i*g**2 + p and give p.
-3
Rearrange (4*g + g**2 - 4*g)*(0*g - 5*g - 2*g) - 74*g**3 + 14*g**3 + 24*g**3 to the form l*g**3 + v + u*g**2 + r*g and give l.
-43
Express -391*s**3 + 786*s**3 + 2*s**4 - 394*s**3 - 23*s**2 in the form a*s**3 + t*s + r + v*s**2 + h*s**4 and give a.
1
Express (-235*r + 287*r - 156*r)*(0*r + 0*r - r**2) as m*r**3 + f*r**2 + g + z*r and give m.
104
Express 228*c**2 + 765*c**2 + 1062*c**2 + 862*c**2 - 698*c**2 as z + a*c + t*c**2 and give t.
2219
Express -2*b + 3*b - 7 - 11 - b**2 in the form o*b**2 + g + k*b and give g.
-18
Express (1 + 1 - 5)*(-7*a - 39*a + 14*a)*(-3*a + a**2 - 3*a**2 + a) as q + h*a**3 + u*a + z*a**2 and give z.
-192
Rearrange 13997*i - 2 - 1 + 3 - 12040*i to the form f*i + w and give f.
1957
Rearrange (-2*t**2 - 2*t**2 - 8*t**2)*(-5 + 3 + 0)*(-2*t + 725 + 5*t - 711) to f*t**2 + j*t + s*t**3 + r and give f.
336
Rearrange (-10 + 10 + 7*c)*(-50 + 144 + 116 - 27) to the form i + v*c and give v.
1281
Express -1115*q**4 - 863*q**4 + 1480*q**4 + (-2*q**2 + q - q)*(-2*q - q**2 + 2*q) in the form m*q + x*q**4 + v + o*q**2 + g*q**3 and give x.
-496
Rearrange (-14 + 44 - 12)*(v - 4 + 4) - 5*v - v + 3*v + 4*v + 0*v - 3*v + (-4 - 3 + 5)*(-2*v + 6*v - 3*v) - 2*v + 3 - 3 to c*v + t and give c.
12
Express 143 - 313*j**2 - 283 + 138 as n + w*j + c*j**2 and give c.
-313
Express 4*o**3 - 21*o + 3*o**3 - 5 - 100*o**2 + 6 + 100*o**2 - 2*o**4 in the form k*o + q*o**3 + d*o**4 + g*o**2 + l and give q.
7
Rearrange 52 - 2*l**2 + 2*l**4 + 5*l - 105 + 52 to s + o*l**2 + b*l + q*l**4 + m*l**3 and give b.
5
Express 11*m**2 - 1 - m**2 - 2*m**4 + 8*m**4 + 3*m**4 + 2*m**4 - m in the form w*m**3 + f*m**4 + k*m + s*m**2 + p and give s.
10
Express (4 - 6 - 1)*(2*m - 2*m + 2*m) + 2 - 2 - m + (0*m - 6*m + 0*m)*(-3 + 4 - 3) + (5*m - 17*m + 5*m)*(-1 - 1 + 4) as q + a*m and give q.
0
Rearrange (4*t - 4*t + t**3)*(-22*t - 450 + 450) to the form g*t**3 + s*t**2 + o + u*t**4 + r*t and give u.
-22
Express (124*u - 153*u - 97*u)*(-3 + 3 - 2)*((0 + 2 - 3)*(1 - 2*u - 1) + 0 + 0 + 3*u) in the form x*u + j*u**2 + n and give j.
1260
Express 8*f - 2*f**2 - 4*f**2 - f**3 + 7*f**2 + 21*f + 0*f**3 as s + p*f**3 + m*f**2 + z*f and give p.
-1
Rearrange -2*u**4 - 25*u**2 - u - 3*u**4 - 24*u**2 - 2 + 3*u**4 + u**4 to s*u + m*u**4 + x*u**3 + d + w*u**2 and give m.
-1
Express -9 - 10 - 125*h + 16 - 140*h as z*h + u and give u.
-3
Rearrange 2 - 51*g + 22*g + 94*g + 66*g + 22*g to the form l*g + s and give l.
153
Rearrange -50*g - 25*g**2 + 2*g**2 + 48*g to z*g + d*g**2 + o and give z.
-2
Rearrange 4 - 8*v**3 - 4 + (-3*v - 2*v + 3*v)*(-2 + 0 - 1)*(-v**2 + v**2 + 11*v**2) to the form z*v**2 + x*v**3 + t*v + s and give x.
58
Rearrange (5 + 0 - 4)*(-5*s**2 + 5*s**2 + 3*s**2)*(-3*s + s - 130 + 105) to k*s**2 + v*s + n + i*s**3 and give k.
-75
Rearrange 15 + 5*a + 6 - 9 - 10 - 4*a**3 + 13*a**4 - 3*a - 2*a**2 to x*a + u*a**3 + l + s*a**4 + y*a**2 and give y.
-2
Rearrange -2 - 11*p + 15*p - 21*p to r + x*p and give x.
-17
Express 2*l + 910 - 2*l + 313*l**3 - 907 as a*l + z*l**2 + p + x*l**3 and give p.
3
Rearrange -2023 - 66*m**2 + 2023 - 726*m**2 to the form q*m**2 + z*m + v and give q.
-792
Rearrange 20 + 83*r**4 - 3*r**2 + 2*r**3 - 3*r**3 + 3*r**3 + 81*r**4 - 165*r**4 to m*r**4 + x*r**3 + o*r**2 + c + g*r and give c.
20
Express 8*j**3 + 6*j**4 + 76*j + 1 - 3*j**4 - 75*j as i + t*j**2 + h*j**4 + k*j + o*j**3 and give h.
3
Rearrange (-4 + 3 + 0)*(7 - 7 - v)*(-16*v + 5*v**3 + 16*v) to the form m*v**3 + a + y*v + r*v**2 + b*v**4 and give y.
0
Rearrange 2 + b**4 - 2 + (15 - 35 + 8)*(2*b**4 - 3*b**4 + 9*b**4) to the form m*b**3 + j*b**2 + z + u*b + g*b**4 and give u.
0
Rearrange 1074 - 214*y**2 + 1094 - 2171 + 3*y**2 - 5*y**2 + y**2 + (y - y + 2*y)*(-2*y + 4*y - 4*y) + y**2 + y - y to a*y**2 + v*y + u and give u.
-3
Express (-3*f - 3*f + 5*f)*(828803 + 426*f**2 + 310*f**2 - 828805) in the form k*f**2 + u + x*f + c*f**3 and give x.
2
Rearrange (187*i + 674*i + 708*i)*(3*i + 3*i - 4*i) to the form f + o*i**2 + b*i and give o.
3138
Express (-4 + 0 + 2)*(-3*i + 2*i + 3*i) + 3*i + 0*i - i - i - 3*i + 3*i - 2*i + 3*i + 0*i - 1325*i + 1545*i - 1853*i - 1250*i as v*i + r and give v.
-2885
Express -654*q + 721*q - 2098*q - 1179*q in the form s*q + d and give s.
-3210
Express 203 - 57 - 73 + 249*q - 71 in the form v + n*q and give v.
2
Express (o - 3*o + o)*(22 - 22 + 10*o)*(14*o - 18 + 18) in the form l*o**2 + n + r*o + w*o**3 and give w.
-140
Rearrange (9*g - 260 + 260)*(2*g**2 + 2 - 2) - 3 + 1 + 4 - 33*g**3 to h*g**3 + r*g + k*g**2 + t and give h.
-15
Rearrange 0*y**3 + 2*y**3 + 32*y**2 + 4*y**2 + 0*y**3 - 40*y**2 - 10*y**4 to k + n*y**2 + c*y + u*y**4 + q*y**3 and give u.
-10
Rearrange j**4 + 28*j**3 + j**4 - 1 + 19*j**2 - 28*j**3 to the form k*j**3 + q*j**4 + z*j + p*j**2 + m and give m.
-1
Express 2 - 2 + 2*w + 4*w - 3*w + 0*w + (-3 - 1 + 2)*(-2*w + 0*w + 3*w) + 31 - 27*w - 31 + (-3*w - 1 + 1)*(3 + 1 - 3) as x + j*w and give j.
-29
Express 2*b**4 - 47 + 8 + 8 + 2*b as w*b**2 + c*b**4 + d*b**3 + u + z*b and give z.
2
Express (-4 - 12 + 1 + 2)*(-35 - 3 + 5)*(-3*s**2 + 2*s**2 - s**2) in the form f*s**2 + h + l*s and give f.
-858
Rearrange (0 + 4 + 1)*(2*i**3 + 0*i**3 - i**3) + (i**2 - i**2 + 2*i**2)*(-4*i + 18 - 18) to k*i**2 + t*i**3 + a + s*i and give t.
-3
Express 5*q - 4*q - 2*q + 18*q + (7 - 4 + 5)*(q + q - 4*q) as g*q + a and give g.
1
Rearrange 4*a**2 - 7*a + 5*a - 5*a**2 - a**2 - 4*a**3 - 1 to the form x*a**3 + b*a**2 + p*a + f and give x.
-4
Rearrange -24*f**3 + f - 13*f**2 + 54*f**3 - 25*f**3 + 30*f**2 to o*f + y*f**3 + w*f**2 + h and give y.
5
Express (-1 + 1 - 1)*(2*h - 3*h + 0*h)*(753 - 409 - h**2 + 6*h**2) in the form d + n*h**2 + x*h**3 + g*h and give n.
0
Express -46*g - 10 + 46*g + 4*g**2 as d*g**2 + w*g + h and give h.
-10
Rearrange 155*p**2 - 34*p**2 + 244*p**2 + 122*p**2 - 34*p**2 to the form j*p + y + f*p**2 and give f.
453
Express (0*u + 47*u + 25*u)*(15*u**2 + 7 - 7) in the form d + a*u**2 + t*u + b*u**3 and give b.
1080
Express -71 + 153 - 4*d - 77 + 31*d as t*d + z and give z.
5
Rearrange 5666*m**2 - 5667*m**2 + 94 - m - m to the form v*m**2 + b + x*m and give v.
-1
Rearrange (-279*l**3 - 973*l**3 - 1336*l**3 - 30*l**3 + 490*l**3)*(5 - 2 - 1) to the form f*l**2 + p + n*l**3 + m*l and give n.
-4256
Rearrange (6748686*v**2 - 6748686*v**2 + 2717*v**3)*((1 - 2 + 3)*(2 - 2 + 2*v) + 2 - 2*v - 2)*(-5 + 2 + 2) to l + c*v**4 + n*v**3 + k*v + x*v**2 and give c.
-5434
Express 35*s**3 + 4*s - 15705 + 15705 as c + g*s + v*s**3 + f*s**2 and give g.
4
Express 9 - 538*f - 744*f - 9 in the form j*f + t and give t.
0
Rearrange 6*m - 35*m + 28*m - 1 - 160*m**2 to j*m**2 + g + r*m and give j.
-160
Rearrange (-2 + 2 - q)*(-1 + 2 + 1) + (-3*q + 5*q - 4*q)*(-2 + 0 + 1) + (1 + 1 - 15)*(38 - 4*q - 38) to v + t*q and give t.
52
Rearrange 22*f + 26*f - 7 - 50*f + (-3*f + f + f)*(13 + 12 - 12) to m*f + y and give y.
-7
Express (1 - 1 - 2*o**3)*(-o + 1 - 1) - 6 + 6 - 5*o**4 - 95*o**4 + 42*o**4 - 151 + 52*o**4 as r + t*o**3 + n*o + u*o**4 + c*o**2 and give u.
-4
Express 1 - 2*o**3 - 2*o - 6*o - 1500*o**4 + 1498*o**4 as t + b*o**4 + l*o + w*o**3 + g*o**2 and give l.
-8
Express -7*i + 15 + 13*i + 0*i - 2*i in the form v*i + j and give v.
4
Rearrange -65256*u + 65256*u + 87*u**2 to h + t*u**2 + x*u and give t.
87
Rearrange -u - 1 + 1 - 18*u - 22*u + 20*u + (-2 - 3 + 6)*(6*u - 3*u - 5*u) + 0*u + 4*u - 9*u to the form a + t*u and give t.
-28
Rearrange -86 + 12*t**2 + 21 + 44 to g*t + y + k*t**2 and give g.
0
Express (-4*s - 12*s + 3*s)*(-4*s + s + s)*(-3*s + 7*s + 12*s) in the form v*s**3 + r*s**2 + w + q*s and give v.
416
Express -5 - 1543*v**2 - 1537*v**2 + 37*v**4 + 3082*v**2 + 2*v in the form m*v**2 + s*v**4 + c*v + x + k*v**3 and give x.
-5
Rearrange -9*c**3 + 9*c**2 + 5*c**3 + 3*c**3 - 4*c**2 - 8*c**2 + 54 to the form x + l*c**3 + w*c**2 + a*c and give a.
0
Express 0*r**2 - 15*r - 3 + 4 + 11 - 3*r**2 + | {
"pile_set_name": "DM Mathematics"
} |
21.
-10, 0, 1, 21
Sort 1, 4, 12, 2.
1, 2, 4, 12
Sort 2/3, 5/6, 5/4, -1/7 in descending order.
5/4, 5/6, 2/3, -1/7
Put 3, -3, -2, -2567, -5 in descending order.
3, -2, -3, -5, -2567
Put 0.3, 1, 1/4, -0.06, -2 in decreasing order.
1, 0.3, 1/4, -0.06, -2
Put -5, -0.8, -0.6, 5, 0.1 in ascending order.
-5, -0.8, -0.6, 0.1, 5
Put -70, 4, -4 in ascending order.
-70, -4, 4
Put -3, -1, 31, 1, 5 in descending order.
31, 5, 1, -1, -3
Put 241, 4, -5, -2 in descending order.
241, 4, -2, -5
Sort 48, 0, -56 in increasing order.
-56, 0, 48
Sort 4101, -2/13, 3/4 in increasing order.
-2/13, 3/4, 4101
Sort -3, -1, -25/12.
-3, -25/12, -1
Sort 0, -0.2, -0.7, 2/11 in descending order.
2/11, 0, -0.2, -0.7
Put -1, -6, 9, -3 in ascending order.
-6, -3, -1, 9
Sort 2/101, 5, -3/8 in descending order.
5, 2/101, -3/8
Put -2149, 0, 5 in increasing order.
-2149, 0, 5
Sort -2, -1/10, 1/4, -0.5 in decreasing order.
1/4, -1/10, -0.5, -2
Put 3, -2, 154 in decreasing order.
154, 3, -2
Put 2, -3, -5, 79.8 in decreasing order.
79.8, 2, -3, -5
Sort -0.13, -0.1, -4, 5.
-4, -0.13, -0.1, 5
Put -15, 5, 1, -10 in descending order.
5, 1, -10, -15
Sort -7, 2, 5, 23, -4 in decreasing order.
23, 5, 2, -4, -7
Sort 6, 0.003, 0 in decreasing order.
6, 0.003, 0
Sort -1, 5, 3/7.
-1, 3/7, 5
Sort 0.1, -80/9, 0.13.
-80/9, 0.1, 0.13
Put -2/15, 2, 1/38, -0.3 in ascending order.
-0.3, -2/15, 1/38, 2
Sort -3, 3/5, 30/11, 0.4, -22 in descending order.
30/11, 3/5, 0.4, -3, -22
Sort 4, 16, -1.
-1, 4, 16
Sort 2, -3, -898 in descending order.
2, -3, -898
Put 2/9, 5, -5/3, 15 in ascending order.
-5/3, 2/9, 5, 15
Sort 1, -16, -22 in ascending order.
-22, -16, 1
Put -3, -11, 4, 45, 1 in descending order.
45, 4, 1, -3, -11
Put -0.1, -4/5, -29 in decreasing order.
-0.1, -4/5, -29
Sort -2, -3, -56, 2, -1 in decreasing order.
2, -1, -2, -3, -56
Put -2/11, -3/10, -0.1, 7, 0.4 in increasing order.
-3/10, -2/11, -0.1, 0.4, 7
Sort 3, 270, 4, 2 in ascending order.
2, 3, 4, 270
Sort -0.17, -53/3, -6.
-53/3, -6, -0.17
Sort -0.4, 0.1, 0.06, -3 in decreasing order.
0.1, 0.06, -0.4, -3
Put 4, -147, -4 in decreasing order.
4, -4, -147
Sort -3, 0.3, 27/2 in decreasing order.
27/2, 0.3, -3
Put 3/4, -1/4, -0.02, -0.89, 5 in decreasing order.
5, 3/4, -0.02, -1/4, -0.89
Sort 1, 3, 743 in increasing order.
1, 3, 743
Put -2, -11, 0 in ascending order.
-11, -2, 0
Put -4, -3, 3/11 in descending order.
3/11, -3, -4
Put 1, -2, -3, -383 in descending order.
1, -2, -3, -383
Put -199, 1, -1, 5 in descending order.
5, 1, -1, -199
Sort -5, -1, -9, 0.063 in increasing order.
-9, -5, -1, 0.063
Sort 1/3, -22, -2.
-22, -2, 1/3
Put -3/4, 2/5, 1, 6 in decreasing order.
6, 1, 2/5, -3/4
Sort 0.004, 4, -3/4.
-3/4, 0.004, 4
Put 218, 1, 3 in increasing order.
1, 3, 218
Sort -4, 103, -5 in ascending order.
-5, -4, 103
Put -84, -4, -1 in increasing order.
-84, -4, -1
Sort 1/4, -1.5, -3/4.
-1.5, -3/4, 1/4
Put 5, -2, 2, -86 in descending order.
5, 2, -2, -86
Sort -2/5, 0.02, 0, -2.
-2, -2/5, 0, 0.02
Sort 3065, -2, 4/3.
-2, 4/3, 3065
Sort 7/17, 0.3, -5, 0.
-5, 0, 0.3, 7/17
Put -1, -3, -57 in decreasing order.
-1, -3, -57
Put 4, 1/2, 8, -0.02 in descending order.
8, 4, 1/2, -0.02
Sort -2/3, -0.3, 1374, -4 in ascending order.
-4, -2/3, -0.3, 1374
Sort 0, 19, 3, 5 in decreasing order.
19, 5, 3, 0
Sort 2, -28, -3, -1, -9.
-28, -9, -3, -1, 2
Sort 3/2, 0.8, -0.4, -9 in ascending order.
-9, -0.4, 0.8, 3/2
Put 5, 1, 513, -3 in descending order.
513, 5, 1, -3
Sort 0.1, -61, -2.
-61, -2, 0.1
Put 16, -7, -5, -4 in decreasing order.
16, -4, -5, -7
Sort -1, -68, -6 in decreasing order.
-1, -6, -68
Put -2, -14, -5 in decreasing order.
-2, -5, -14
Put 4, 3, -2, 0, -64 in increasing order.
-64, -2, 0, 3, 4
Sort 1.67, -3, -0.3, -1/4.
-3, -0.3, -1/4, 1.67
Put 10, 0.3, 1, -1/3 in increasing order.
-1/3, 0.3, 1, 10
Sort 70, -4, 1, -2 in decreasing order.
70, 1, -2, -4
Put 4, 37, -4, 1 in descending order.
37, 4, 1, -4
Put 5, 3, -231 in ascending order.
-231, 3, 5
Put -5, 1003, -3 in increasing order.
-5, -3, 1003
Sort -1, -49, 5, -5, 2 in decreasing order.
5, 2, -1, -5, -49
Sort -2, -101, -5 in decreasing order.
-2, -5, -101
Sort -5, -1, -2, -20, -22 in decreasing order.
-1, -2, -5, -20, -22
Put 8, -216, 1 in decreasing order.
8, 1, -216
Sort 0.4, 5, 8.
0.4, 5, 8
Sort 3, -2, -9, 4 in ascending order.
-9, -2, 3, 4
Put 4, 28, -19 in decreasing order.
28, 4, -19
Sort 3, 1, -13, -11 in descending order.
3, 1, -11, -13
Put -2, 1, 11 in ascending order.
-2, 1, 11
Sort -5, 0.9, 0.4, -0.03, -0.5 in decreasing order.
0.9, 0.4, -0.03, -0.5, -5
Put -11, -8, -4, 0, 1 in decreasing order.
1, 0, -4, -8, -11
Sort 5/4, 18, 4, -1/4.
-1/4, 5/4, 4, 18
Sort -0.4, -1/2, 2/13, 2 in descending order.
2, 2/13, -0.4, -1/2
Sort -3, 0.2, 0.4, -142, -0.1.
-142, -3, -0.1, 0.2, 0.4
Sort -11, -1, 3, 2 in ascending order.
-11, -1, 2, 3
Sort -15, -3, 1 in decreasing order.
1, -3, -15
Put -0.056, -1/3, 3, 2 in ascending order.
-1/3, -0.056, 2, 3
Put 5, -2, 1859 in decreasing order.
1859, 5, -2
Put -4, -2, -14 in ascending order.
-14, -4, -2
Sort -8, -3, 2.
-8, -3, 2
Sort -8, -1, 2, 23, -5.
-8, -5, -1, 2, 23
Put 3/11, -10, -1/5 in ascending order.
-10, -1/5, 3/11
Sort 34, -35, 4, 5.
-35, 4, 5, 34
Sort -21, -48, -1, -5.
-48, -21, -5, -1
Sort 0.02, 0, -2 in descending order.
0.02, 0, -2
Sort 1/11, -5/2, -1 in descending order.
1/11, -1, -5/2
Sort 4, 48, -2, 1/5 in descending order.
48, 4, 1/5, -2
Put -0.5, 2/601, -1/17 in descending order.
2/601, -1/17, -0.5
Put 0.5, 1.74, 5 in decreasing order.
5, 1.74, 0.5
Put 6, -218, 5 in decreasing order.
6, 5, -218
Sort -5, 149, 1 in decreasing order.
149, 1, -5
Sort 2/7, -1, -0.323, -0.4 in decreasing order.
2/7, -0.323, -0.4, -1
Sort -0.1, 5, 1, 3.
-0.1, 1, 3, 5
Put 0, 39, -1, 4 in ascending order.
-1, 0, 4, 39
Sort -2, -7, -5, -12.
-12, -7, -5, -2
Sort -2035, 5, 1/8, 0.2, -0.2 in decreasing order.
5, 0.2, 1/8, -0.2, -2035
Sort -1, 4, -332 in decreasing order.
4, -1, -332
Put 19, -4, -0.2, -3 in increasing order.
-4, -3, -0.2, 19
Sort -1, 5, -5/2, 1/4 in descending order.
5, 1/4, -1, -5/2
Sort -0.3, 0.3, 291.
-0.3, 0.3, 291
Sort -38, -1, 0.
-38, -1, 0
Sort 9, -1, 1 in descending order.
9, 1, -1
Sort -0.09, 2/15, 2, -2/3 in descending order.
2, 2/15, -0.09, -2/3
Put -5, -2, 0, 3, -16.2 in increasing order.
-16.2, -5, -2, 0, 3
Sort 4, -1, -15, 1.
-15, -1, 1, 4
Sort 77, 3, 2, -5, 0.7 in descending order.
77, 3, 2, 0.7, -5
Put -0.3, -7, 1, -1 in decreasing order.
1, -0.3, -1, -7
Sort 0.33, 0.2, 0.5, 2/11.
2/11, 0.2, 0.33, 0.5
Sort -3, 5/3, -221.
-221, -3, 5/3
Sort 5, -6, -32 in decreasing order.
5, -6, -32
Put -3, 3, 22, 18, 5 in decreasing order.
22, 18, 5, 3, -3
Sort 2, -4, 10, 5 in decreasing order.
10, 5, 2, -4
Put 5, 7, 3, 1 in decreasing order.
7, 5, 3, 1
Sort 17, -30, 1/4 in decreasing order.
17, 1/4, -30
Sort -2, 100, -2/9, -5/4 in decreasing order.
100, -2/9, -5/4, -2
Put -5/4, -5, 1, 3 in increasing order.
-5, -5/4, 1, 3
Sort 2, 13, 5, -18.
-18, 2, 5, 13
Put -5/3, 3/4, -4, -1 in descending order.
3/4, -1, -5/3, -4
Put 5, 2, 4, 3 in increasing order.
2, 3, 4, 5
Sort -0.6, 4, -58, 5, -0.2.
-58, -0.6, -0.2, 4, 5
Sort 7, -10/3, 2/5 in increasing order.
-10/3, 2/5, 7
Sort 4/7, 12, -3/8, 5/4, 0.5 in increasing order.
-3/8, 0.5, 4/7, 5/4, 12
Sort 3/65, 0.4, -0.3, 8.
-0.3, 3/65, 0.4, 8
Put -1, 125, 4 in decreasing order.
125, 4, -1
Put -37, -5, 1 in descending order.
1, -5, -37
Put 2, -2, 38, 4 in decreasing order.
38, 4, 2, -2
Sort -3, 82, 0, -5 in ascending order.
-5, -3, 0, 82
Sort 1, -0.3, 0.5, 0.1 in descending order.
1, 0.5, 0.1, -0.3
Put 4, 3, -32, -13, -3 in descending order.
4, 3, -3, -13, -32
Sort -33, -3, -14/5.
-33, -3, -14/5
Put 9, 13, -3, 5 in increasing order.
-3, 5, 9, 13
Sort 2, 9, 4, -2, 0 in ascending order.
-2, 0, 2, 4, 9
Sort 10, 1, -10.
-10, 1, 10
Sort -2, -2/11, -49.2 in descending order.
-2/11, -2, -49.2
Put -14, -1, -4, 6 in ascending order.
-14, -4, -1, 6
Put -4, 5.17, 0.12 in descending order.
5.17, 0.12, -4
Sort -298, -3, 0 in decreasing order.
0, -3, -298
Sort -1/3, -1, -19, 2.1, 1/4.
-19, -1, -1/3, 1/4, 2.1
Sort 0.3, 28, -1/16 in descending order.
28, 0.3, -1/16
Put 97, 2, -27 in descending order.
97, 2, -27
Sort 2, -5, -6, -4 in decreasing order.
2, -4, -5, -6
Sort -8, -1, 3, 1, 4 in increasing order.
-8, -1, 1, 3, 4
Put 4, 5, 6, -3, 10 | {
"pile_set_name": "DM Mathematics"
} |
= -z**4 - 6*z**3 + 114*z - 179. Let q(a) = -3*a - 37. Let f be q(-12). Let c(j) = f*r(j) + 6*v(j). Differentiate c(h) wrt h.
4*h**3 - 102
Let u(w) be the first derivative of 17*w**7/42 - 29*w**3/6 + 24*w - 5. Let s(b) be the first derivative of u(b). What is the second derivative of s(r) wrt r?
340*r**3
Suppose 2*l + 25 - 10 = 3*t, 5 = 6*l + t. Let z(q) be the first derivative of l*q**2 + 17/3*q**3 + 2*q**4 + 0*q - 11. Find the third derivative of z(j) wrt j.
48
Find the third derivative of -19291 + 42*o**2 - 42*o**4 - 9*o - 14*o**6 + 19291 wrt o.
-1680*o**3 - 1008*o
Let x(l) be the third derivative of 7193*l**5/60 - 5234*l**3/3 - 11780*l**2. What is the first derivative of x(y) wrt y?
14386*y
Suppose 22*a - 48 = 6*a. Let q = -2 - -5. What is the third derivative of -11*f**2 + 3 - q - a*f**3 - 2*f**3 wrt f?
-30
Let s(n) = 6897*n**4 + 9*n**3 + 608*n**2 + n. Let y(t) = -1724*t**4 - 2*t**3 - 151*t**2. Let u(c) = -2*s(c) - 9*y(c). Find the third derivative of u(h) wrt h.
41328*h
Let h(u) be the second derivative of 9*u**5/20 + 17*u**4/24 - 13*u**3/2 + 29*u. Let o(d) be the second derivative of h(d). Differentiate o(m) with respect to m.
54
Let o(q) = -3926*q**3 - 13*q**2 - 47*q + 17. Let y(a) = 9815*a**3 + 31*a**2 + 116*a - 41. Let m(p) = 12*o(p) + 5*y(p). Find the third derivative of m(v) wrt v.
11778
Find the third derivative of 953*o**3 - 956*o**3 + 16*o**2 - 536*o**5 - 70*o**5 + 27*o**2 wrt o.
-36360*o**2 - 18
Let t(k) = k**3 + 4*k**2 - 16*k - 20. Let h be t(-6). What is the third derivative of 2*y**2 - 8*y + 6*y**2 + 4*y**2 - 128*y**h - 16*y - 7*y**2 wrt y?
-3072*y
What is the second derivative of 9*o**2 + 2155 + 2694 - 20*o + 174*o**4 + 18*o - 3*o**5 wrt o?
-60*o**3 + 2088*o**2 + 18
Let v(x) be the second derivative of -737*x**8/56 + 349*x**4/3 + 27*x + 19. What is the third derivative of v(d) wrt d?
-88440*d**3
Let l(t) be the third derivative of -2129*t**7/210 - 265*t**4/4 + 2479*t**2. What is the second derivative of l(y) wrt y?
-25548*y**2
Let m(s) be the third derivative of 1/24*s**4 + 29/60*s**5 + 25*s**2 - 7/6*s**3 + 0*s + 0. Find the second derivative of m(a) wrt a.
58
What is the third derivative of 298*b**3 - 791*b**2 + 243*b**2 + 720*b**3 - 386*b**2 - 137*b**3 wrt b?
5286
Let r(d) = -40*d + 6237. Let m(q) = -53*q + 8315. Let j(z) = -7*m(z) + 9*r(z). Differentiate j(b) wrt b.
11
Let v(x) = -43*x**2 - 20*x + 634. Let b(y) = -41*y**2 - 24*y + 635. Let k(l) = 5*b(l) - 6*v(l). What is the first derivative of k(f) wrt f?
106*f
What is the third derivative of 2452*m**2 + 204 + 121*m**2 - 204 + 12*m**3 wrt m?
72
Let a(r) be the third derivative of 23/12*r**4 + 0*r + 0 + 55/6*r**3 + 99*r**2. Find the first derivative of a(v) wrt v.
46
Let t(x) be the first derivative of 0*x + 139 + 0*x**5 - 41/2*x**2 + 0*x**3 + 0*x**4 + 34*x**6. What is the second derivative of t(r) wrt r?
4080*r**3
Let a = -9 + 11. Let x(c) = -c**2 + 2*c + 2. Let r be x(a). Find the third derivative of 13*q**3 - 5*q**r + 18*q**4 - 13*q**3 wrt q.
432*q
Let j(s) = 6*s**2 + 6*s + 3. Let t be j(-4). Let d = t + -39. What is the derivative of -6 + d*b**3 - 10*b**3 - 10 wrt b?
78*b**2
Let r(p) be the third derivative of 223*p**6/40 + 11*p**5/60 + p**4/3 + 994*p**2. What is the third derivative of r(j) wrt j?
4014
Let f(r) = -3454*r**2 - 14564*r. Let w(c) = 1160*c**2 + 4855*c. Let z(x) = 3*f(x) + 8*w(x). Find the second derivative of z(q) wrt q.
-2164
Suppose 0 = 27*h - 2228 - 67. Differentiate 5265*x**3 + 12*x**4 + h - 5265*x**3 with respect to x.
48*x**3
Let j(d) be the first derivative of 1667*d**2 - 11496*d + 5184. Differentiate j(x) wrt x.
3334
Let x be 26/39 + 48/9. Find the third derivative of 49*g**6 - 106*g**6 + 22*g**2 + 53*g**6 + x*g**4 wrt g.
-480*g**3 + 144*g
Let i = -243 - -289. Differentiate 28 - i*c - 69*c + 95*c - 45*c wrt c.
-65
Let o(c) be the third derivative of c**7/210 + 11*c**6/20 + c**5/30 - 863*c**4/2 + c**2 + 630. Find the second derivative of o(n) wrt n.
12*n**2 + 396*n + 4
Let m(j) be the first derivative of 4*j**2 - 110*j - 27*j**2 + 131*j - 1 + 2*j**2. What is the first derivative of m(o) wrt o?
-42
Let q(r) = 7*r + 1574 - 1567 + 6*r. Let y be q(1). What is the third derivative of 7*w**5 + y*w**5 + 4*w**2 + w**2 wrt w?
1620*w**2
Suppose 12*w = 14*w - 3*h - 58019, 0 = 3*w - 5*h - 87030. Find the second derivative of -w*r**3 - 13 + 3*r - 22 + 29005*r**3 + 242*r**4 wrt r.
2904*r**2
Let k(y) be the second derivative of 6*y + 0*y**4 + 0*y**2 + 23/6*y**3 + 3/10*y**6 + 1/5*y**5 + 1. What is the second derivative of k(h) wrt h?
108*h**2 + 24*h
Let z(i) = 266*i + 912. Let b(a) = -24*a. Let w(p) = 10*b(p) - 2*z(p). What is the derivative of w(v) wrt v?
-772
Suppose 5*b = -d + 8081, 5*d = 3*b + d - 4867. Find the third derivative of -196*w**2 - 14*w**5 - 25*w**5 - 1614*w**4 + b*w**4 wrt w.
-2340*w**2 + 72*w
Let i = -11 + 46. Let k be ((-12)/(-15))/(14/i). Find the first derivative of -3*d**2 + 3*d**k + 7 + 0*d**2 + 2*d**2 wrt d.
4*d
What is the second derivative of -1312*y**3 + 2*y**2 - 566*y**3 + 3008*y + 3349*y**3 wrt y?
8826*y + 4
Let o(j) be the third derivative of 29/8*j**4 + 19/3*j**3 + 0*j + 5*j**2 - 6. Differentiate o(p) wrt p.
87
Suppose 38 = 2*l + 2*h - 18, -2*l + 2*h + 68 = 0. What is the third derivative of 0*i + 52 + 0*i - i**2 + 213*i**6 + l + 25 wrt i?
25560*i**3
What is the derivative of -2783 + 29615641*m**2 - 2210*m**3 - 29615641*m**2 wrt m?
-6630*m**2
Let k(r) be the second derivative of -952*r**6/15 + 83*r**4/12 + 48*r. What is the third derivative of k(c) wrt c?
-45696*c
Let k(t) = t**3 + 12*t**2 + 4*t + 31. Let w be k(-9). Find the third derivative of w*i - 83*i**3 - 238*i - 88*i**2 wrt i.
-498
Let z be 3/(12/5) + (-69)/(-92). Differentiate 76*w**3 + 3*w**z + 365 - 344 - 3*w**2 with respect to w.
228*w**2
Let g(l) = l**3 + 7*l**2 - 5*l - 22. Let y be g(-7). Find the third derivative of 2*m - 31*m**3 + 4*m + 3*m - y*m**4 + 12*m**4 + m**2 wrt m.
-24*m - 186
Suppose 27 = 23*j - 22*j. Suppose -23*p - 16 = -j*p. Find the third derivative of g**6 - 18*g**2 + 2*g**6 + p*g**2 - 18*g**6 wrt g.
-1800*g**3
Let k(j) be the third derivative of -457*j**7/210 + 797*j**3/2 + 4190*j**2. Find the first derivative of k(s) wrt s.
-1828*s**3
Let k(p) be the third derivative of 23*p**6/30 + 43*p**3 - 431*p**2 + 2*p. What is the first derivative of k(r) wrt r?
276*r**2
Let r(t) = 9 - t + 1 - 1. Let h be r(5). What is the second derivative of -12*w**h + w - 13 + 13 wrt w?
-144*w**2
Let f(l) be the first derivative of -7*l**4/2 + 37*l**3/3 + 1310*l**2 - 3149. Find the second derivative of f(z) wrt z.
-84*z + 74
Suppose 13*y - 235 = 168. Find the second derivative of -159*n - 19*n**4 + y - 31 + 69*n**4 wrt n.
600*n**2
Let b(d) = 17*d - 67*d + 21*d + 225 + 21*d + 13*d. Let p(w) = -2*w - 226. Let y(t) = 5*b(t) + 4*p(t). What is the first derivative of y(c) wrt c?
17
Let d(z) be the third derivative of -11519*z**4/24 - 2104*z**3 + 52*z**2 + 10. What is the derivative of d(l) wrt l?
-11519
Let b(y) be the first derivative of 1456*y**5/5 + 520*y + 2972. What is the derivative of b(a) wrt a?
5824*a**3
Let u be 1 + (96/(-10))/((-15)/50). Let d be (-5)/((21/12)/(-7)). Find the first derivative of 9 - 3 + u*z - 24 - d wrt z.
33
Let z(w) be the third derivative of 0*w**6 + 4*w**3 + 1/30*w**5 + 0 + 0*w**4 + 17/35*w**7 - 5*w + 2*w**2. Find the first derivative of z(k) wrt k.
408*k**3 + 4*k
Suppose 22*t + 168 = 30*t. What is the first derivative of 47*z - 10*z + t - 12 + 11 wrt z?
37
Let i(y) be the third derivative of -143*y**5/3 + 2185*y**3/3 - 821*y**2. Differentiate i(d) wrt d.
-5720*d
Suppose 8*x = 7*x + 4. Suppose 5*l + 5 = -3*z - 0, 1 = -2*l - z. Differentiate l*m - m - x*m - 6 with respect to m.
-3
Suppose -5*u - 4*o = o - 15, 2*u - 14 = 2*o. Find the third derivative of -3242*x**u + 96*x**2 + 1592*x**5 + 1587*x**5 wrt x.
-3780*x**2
Let z(h) be the first derivative of 144 - 180*h - 125/3*h**3 + 0*h**2. Find the first derivative of z(c) wrt c.
-250*c
Suppose -8*a - 6 = -10*a. Find the first derivative of 16*c**2 + 10*c**2 - 37*c**2 + 87*c**a - 124 + 4*c**3 + 13*c**2 wrt c.
273*c**2 + 4*c
Let y(x) = 2455*x + 1732. Let s(p) = -8592*p - 6060. Let i(q) = -5*s(q) - 18*y(q). Find the first derivative of i(t) wrt t.
-1230
Let y(l) be the first derivative of 915*l**4 - 78 | {
"pile_set_name": "DM Mathematics"
} |
d the common denominator of (-15244)/927*1*(-3)/26 and 21/115.
4485
Suppose 29 = 3*v - o, -5*v + o = 3*o - 30. Find the common denominator of 2/39*244/v and 51/11.
429
Let t = 23/431 - 8851/36635. Calculate the common denominator of t and -93/272.
1360
Let t = -5 - -10. Let b be (53/3)/((-4)/(-12)). Suppose -6*s + b - t = 0. What is the least common multiple of s and 2?
8
Let y(m) be the second derivative of 5*m**4/2 + 13*m**3/3 - 27*m**2/2 + m - 10. Suppose -1 - 15 = -4*f. What is the lowest common multiple of f and y(1)?
116
Let v be (-267262)/132256 - -9*(-4)/36. Let r = v - 1/24798. Find the common denominator of -64/21 and r.
336
Let g(c) = 15*c**2 - 121*c + 10. Let d be g(8). Suppose d*t = -2*l + 22, l = 2*t + 3*t + 41. Calculate the least common multiple of l and 280.
560
What is the common denominator of (10*9/24)/((-21)/6) and (2 + (-334)/16)*(-68)/(-306)?
252
Suppose -p = 5*q - 738, 4*p + 2*q - 4*q = 2842. Let i = p - 2831/4. What is the common denominator of 77/458 and i?
916
Suppose x = 4*o - 5 - 6, 5*x - 20 = 5*o. Suppose 0 = 5*l - 3*y - 168, 3*l = 6*l - 2*y - 101. Calculate the smallest common multiple of l and x.
99
Suppose 31*q + 180*q - 16665 = -2739. What is the smallest common multiple of q and 60?
660
Suppose 0 = 5*y + w + 287, -3*w = -5*y - 149 - 150. Let j = -2083 - -2084. What is the lowest common multiple of j - (-1)/((-2)/y) and 6?
30
Find the common denominator of (-3 - 0) + ((-42007)/4732 - -12) and 107/260.
3380
Let v(n) = -2*n**3 + 2*n**2 + 12*n - 14. Let x be v(4). Let a = -78 - x. Calculate the common denominator of 91/10 and (-216)/a + 4 + -2.
10
Let p(k) = 3*k - 26 - 5 - 4*k. Let g be p(-11). Let v = g - -31. What is the least common multiple of v and 2?
22
Suppose -15*v + 20*v - 9554 = -2*q, 3*q - 7632 = -4*v. What is the least common multiple of v and 1740?
19140
Let a = 3 - 0. Let b = -1/81 - 3139/1620. Calculate the common denominator of b and -3*a + 6/24.
20
Let i = 10947 - 10152. Calculate the lowest common multiple of 18 and i.
4770
Let w(k) = 3*k**2 + 2*k + 8. Calculate the lowest common multiple of w(6) and 4*3*(46/3 - (-177 - -191)).
128
Let p = 522 - 520. Suppose 3*f + f + 84 = 4*h, 2*h + p*f - 54 = 0. Calculate the lowest common multiple of 171 and h.
1368
Find the common denominator of -103/564 and (-132)/16*(442/936 + (-2)/9).
2256
Let k = -5 + 8. Calculate the common denominator of 0 - (k - (-140)/(-6)) and (-3260)/(-360) + 4/(-1).
18
Suppose 0 = -15*z - 57 + 42. Let a = z + -47/8. What is the common denominator of a and (6/10)/(16/(-78))?
40
Let r = -812 - -1114. Suppose r = 6*g + 38. What is the least common multiple of g and 165?
660
Suppose 5*z + 2*z = 56. Suppose -z*k + 30 = 2*k. Suppose 3*p - 3*f = 249, -k*p + f + 411 = 2*p. Calculate the lowest common multiple of 18 and p.
738
Let w be 6*(3/(-3) - -2). Calculate the smallest common multiple of (w/(-10) - -1)/(7/5740) and 18.
2952
Let h(p) = p**2 - p. Let y(x) be the third derivative of -5*x**4/24 + 22*x**3/3 - 2*x**2 - 152. Calculate the smallest common multiple of y(7) and h(6).
90
Calculate the least common multiple of 296 and (9 - (-10 + 15))*74.
296
Let o = 1/484121 + 21960765/350503604. Let w = o - -1/181. Calculate the common denominator of w and 105/44.
44
Suppose -4*p - 74 = 4*r - 5*r, 0 = 2*r - p - 141. Suppose -11*t - 64 = -15*t. Calculate the smallest common multiple of r and t.
560
Suppose 5*o + d - 381 = 115, 0 = 3*o - 2*d - 308. Suppose -55*t = -48 - 1327. What is the lowest common multiple of t and o?
100
Let f = 32 - 8. Suppose 5*z = -10*z - 3*y + 1650, -3*y + 429 = 4*z. What is the smallest common multiple of f and z?
888
Let i be 33/((-7 - -10) + 0). Suppose 5 = -u + 3. Let j = u + i. What is the smallest common multiple of 9 and j?
9
Let t = 94/55 - -681/110. Let g(l) = 7*l**2 - 17*l - 26. Let b be g(-11). Let h = b + -1965/2. What is the common denominator of h and t?
10
Calculate the least common multiple of 42 and (115/46 + -3)/((-1)/18).
126
Let c = -1597/198 + 91/9. Let t be (-17)/(-5)*(-2924)/(-8). Let q = -1241 + t. Find the common denominator of c and q.
110
Calculate the least common multiple of 350 and ((-100880)/(-45))/8 - 8/36.
1400
Suppose 0 = -2*q - 3*g + 17, -26*g = -3*q - 24*g - 7. What is the least common multiple of 396 and q?
396
Let c = -2/4346905 - -5515718204026/13040715. Let r = 88825073/210 - c. Let q = 250/21 - r. Calculate the common denominator of q and 29/3.
30
Let g = 3287 + -1172. Suppose g = 196*w - 191*w. Calculate the lowest common multiple of w and 12.
1692
Suppose 0 = d, -c + d - 311 = -0*d. Let i = -309 - c. Calculate the smallest common multiple of i and 115.
230
Let v(x) be the second derivative of x**3/3 + 29*x**2 - x + 98. Calculate the least common multiple of v(-25) and 48.
48
Let y be 2 + 0/3*7/21. What is the common denominator of y + -1 + (-459)/(-45) and 49/10?
10
Let d(k) = -k**2 + 5*k + 42. Let z be d(-4). Suppose -t - b - z = 14, -4*b = -12. Find the common denominator of 39/10 and t.
10
Calculate the common denominator of 189/441 - (-493)/(-2016) and 89/30.
1440
Suppose 3*r + 0*w - w - 160 = 0, 5*w + 195 = 4*r. Suppose 2*x = -9*x + r. Let m(a) = -a**2 - 10*a - 10. Calculate the least common multiple of m(-8) and x.
30
Calculate the least common multiple of (-494)/(-442) + 2/(-2) + (-48430)/(-170) and 7.
1995
Let i = -102569 + 1948861/19. Calculate the common denominator of 1*(-2)/7*-15 and i.
133
Suppose 20*t = -5*t + 11025. Calculate the smallest common multiple of t + -13 - (-8)/(-2) and 18.
3816
Let i = 3669229496189/221857860 + 5/11092893. Let b = i - 16542. Find the common denominator of b and (-4)/48*2*180/64.
160
Let h = -24783421/168 + 147521. What is the common denominator of h and 127/2856?
2856
Suppose -2123 = -24*g - 275. Suppose -p + 2*p - g = -3*m, -m = 0. Calculate the least common multiple of p and 175.
1925
Let j be 8/(-68) - (-3218957)/(-374). Let g = -8612 - j. Calculate the common denominator of g and 4/(-6) + (-212)/24.
22
Suppose -68 = -3*k - 5*z, 2*z + 76 = 5*k + z. Let p be 6/(-4)*(-4 - k). Let s = -24 + p. What is the least common multiple of 15 and s?
30
Suppose -11*n = -13*n. Suppose 3*z + 3*d = 21, n = -2*z - 4*d + 13 + 5. Suppose 3*h = -6 - 0, 10 = c + z*h. What is the smallest common multiple of c and 4?
20
Let v(w) = -48*w - 434. Let x be v(-9). Let z = -8731/426 - 1/213. What is the common denominator of z and -8 + ((-31)/x - -6)?
2
Let y = 11387 - 10967. What is the smallest common multiple of 28 and y?
420
What is the common denominator of 1/480 and (-10)/300*(5 + -2 - 2)?
480
Find the common denominator of 4086/(-13920) - (-204)/680 and -29/20.
2320
Let q be (-12)/(-4) - 8/(-4). Suppose 0 = j + 2*k - 63 - 9, 3*j + q*k = 219. What is the least common multiple of 4 and j?
156
Suppose j - 36 + 32 = 0. Suppose 2*w - 6 = r - 0, 5*r + j = -3*w. Calculate the least common multiple of w and 7.
14
Suppose 41*f - 39*f - 850 = 3*x, -2*f - 4*x + 836 = 0. Let k = -398 + f. What is the least common multiple of 4 and k?
24
Let c(y) = -y**3 + 2*y**2 + 7*y + 2. Let i be c(4). Find the common denominator of ((-12)/(-24))/((-1)/99) and ((-236)/10)/(i - -10).
20
Let x = 16489 + -906924/55. What is the common denominator of x and -61/1025?
11275
Let c = -4/5255 - -41021/42040. What is the common denominator of c and 97/280?
280
Let u = -3316269198/13025 + 254608. Let h = u - -341243/78150. Let x = 4200 - 113416/27. What is the common denominator of h and x?
270
Let b(z) = z**2 + z. Suppose -5*m + 4*h = 7*h - 4, 4*m + 4*h = 0. Let u(j) = -j. Let q(k) = m*b(k) + 5*u(k). Calculate the lowest common multiple of q(2) and 6.
6
Let d = -38 - -78. What is the smallest common multiple of d and (-21 + 0 + -3)/((-24)/12)?
120
Let p = -71500 - -20520522/287. Let n = -12561/2870 + p. What is the common denominator of (-2)/(312/(-2978)) + (-504)/546 and n?
30
Suppose -37*m + 173*m - 26112 = 0. Calculate the least common multiple of m and 48.
192
Let z = -10501/234906 + -68/2303. Calculate the common denominator of z and 47/1666.
4998
Let y = 308066269717/19740 + -15606194. Calculate the common denominator of y and -77/8.
39480
Calculate the common denominator of 19/12 and (-37783)/12560 + 0 + 27 + -43 + 19.
37680
Let f(g) = 9 + 14*g - 32*g - 11*g**2 - 5 + 5 - g**3. L | {
"pile_set_name": "DM Mathematics"
} |
millisecond?
250
How many months are there in fourty-one sixths of a millennium?
82000
How many nanoseconds are there in 85.21119 milliseconds?
85211190
How many nanoseconds are there in 7000.03 seconds?
7000030000000
Convert 8.330376 days to milliseconds.
719744486.4
What is 98739.63 days in microseconds?
8531104032000000
How many milligrams are there in one fifth of a gram?
200
Convert 0.9404468ml to litres.
0.0009404468
What is three fifths of a litre in millilitres?
600
What is 11/7 of a week in hours?
264
What is 71/3 of a century in months?
28400
What is three tenths of a litre in millilitres?
300
What is 17/2 of a millennium in centuries?
85
How many kilograms are there in 42.61022t?
42610.22
What is 553.943 centuries in millennia?
55.3943
How many micrograms are there in 31/2 of a milligram?
15500
How many grams are there in 1.09794 milligrams?
0.00109794
What is thirteen quarters of a litre in millilitres?
3250
Convert 316165.4 days to nanoseconds.
27316690560000000000
How many years are there in five eighths of a millennium?
625
What is three tenths of a century in months?
360
What is 16366.08267ns in weeks?
0.000000000027060321875
What is six fifths of a week in minutes?
12096
Convert 20175.93 decades to millennia.
201.7593
What is 5969.347 millennia in centuries?
59693.47
What is fourty-five eighths of a meter in millimeters?
5625
What is 41.55544g in tonnes?
0.00004155544
How many micrometers are there in 13/4 of a centimeter?
32500
What is 8483.674ng in grams?
0.000008483674
What is three tenths of a litre in millilitres?
300
How many micrograms are there in 0.363124 grams?
363124
Convert 481659.6 kilograms to nanograms.
481659600000000000
Convert 51123.84 centimeters to meters.
511.2384
How many milliseconds are there in 0.4238473 days?
36620406.72
How many meters are there in 45892.65um?
0.04589265
How many litres are there in 486.1211ml?
0.4861211
Convert 4.217733 years to months.
50.612796
How many years are there in 74.10374 decades?
741.0374
How many days are there in 30/7 of a week?
30
How many millimeters are there in 11/10 of a centimeter?
11
What is 4.18139 years in decades?
0.418139
What is fourty-nine fifths of a kilogram in grams?
9800
Convert 1.469083km to nanometers.
1469083000000
How many weeks are there in 130.6340973us?
0.00000000021599553125
What is 2976.664 millennia in years?
2976664
How many milliseconds are there in 11/8 of a second?
1375
What is 95.56486 millennia in months?
1146778.32
How many millilitres are there in 3/10 of a litre?
300
Convert 1.785861 litres to millilitres.
1785.861
How many centuries are there in 0.4131931 years?
0.004131931
What is 7/8 of a litre in millilitres?
875
How many minutes are there in 1/10 of a week?
1008
How many seconds are there in eleven halves of a minute?
330
How many seconds are there in twenty-seven halves of a minute?
810
How many centimeters are there in 6/25 of a kilometer?
24000
What is one twentieth of a gram in micrograms?
50000
How many nanograms are there in 5/4 of a microgram?
1250
What is 3977.34l in millilitres?
3977340
How many millilitres are there in twenty-one halves of a litre?
10500
What is 891128.7mm in kilometers?
0.8911287
Convert 802.7717l to millilitres.
802771.7
How many centuries are there in 1.8657174 months?
0.0015547645
Convert 164.9425 grams to micrograms.
164942500
What is 6/25 of a micrometer in nanometers?
240
What is 8.723362 litres in millilitres?
8723.362
Convert 4.105369 hours to seconds.
14779.3284
How many days are there in thirteen sevenths of a week?
13
What is 4516.202 millilitres in litres?
4.516202
How many micrometers are there in 3/5 of a centimeter?
6000
What is 0.4524464ng in micrograms?
0.0004524464
Convert 41.6363 litres to millilitres.
41636.3
What is 5.89474 kilometers in millimeters?
5894740
How many milligrams are there in five quarters of a gram?
1250
How many milliseconds are there in one quarter of a second?
250
How many nanometers are there in seventy-six fifths of a micrometer?
15200
What is fourty-seven quarters of a kilogram in grams?
11750
What is fourty-seven quarters of a litre in millilitres?
11750
Convert 64.89728 days to hours.
1557.53472
How many millilitres are there in 44/5 of a litre?
8800
What is 3/5 of a day in minutes?
864
How many litres are there in 0.1886985 millilitres?
0.0001886985
How many centimeters are there in 21/2 of a meter?
1050
How many millilitres are there in eleven halves of a litre?
5500
How many microseconds are there in 1/5 of a millisecond?
200
Convert 75.84956ug to grams.
0.00007584956
Convert 626.5136 millennia to centuries.
6265.136
Convert 330700.7 millilitres to litres.
330.7007
What is 0.1499109ms in nanoseconds?
149910.9
What is seven sixths of a day in hours?
28
Convert 86.51379 litres to millilitres.
86513.79
How many hours are there in 7/6 of a week?
196
What is 0.6638842 years in decades?
0.06638842
What is 99/4 of a microgram in nanograms?
24750
What is 978.6774 micrograms in nanograms?
978677.4
What is 6/25 of a millennium in months?
2880
What is 1/4 of a litre in millilitres?
250
How many micrograms are there in 55/2 of a milligram?
27500
What is 3/25 of a litre in millilitres?
120
How many centuries are there in 3699.58 years?
36.9958
What is seventeen tenths of a century in years?
170
Convert 0.4062007 decades to centuries.
0.04062007
What is fourty-five eighths of a micrometer in nanometers?
5625
Convert 30269.57 decades to millennia.
302.6957
What is 34.4967 decades in centuries?
3.44967
Convert 1870.277 nanometers to millimeters.
0.001870277
How many millilitres are there in 1/5 of a litre?
200
How many micrometers are there in five eighths of a millimeter?
625
How many seconds are there in 0.906815 weeks?
548441.712
What is 6/25 of a second in milliseconds?
240
Convert 2.753346um to meters.
0.000002753346
How many millilitres are there in 1/10 of a litre?
100
What is seventy-two fifths of a litre in millilitres?
14400
What is one sixteenth of a millennium in months?
750
What is 65454.687ms in hours?
0.0181818575
How many kilograms are there in 29/5 of a tonne?
5800
How many meters are there in 482.1218cm?
4.821218
How many years are there in 97.57246 millennia?
97572.46
How many millilitres are there in thirteen fifths of a litre?
2600
What is 0.3409097nm in centimeters?
0.00000003409097
How many seconds are there in 3/50 of a hour?
216
How many microseconds are there in 23.88907 milliseconds?
23889.07
Convert 40.98022 meters to centimeters.
4098.022
Convert 7.102878ml to litres.
0.007102878
Convert 24.51299 hours to seconds.
88246.764
What is 0.7932117ns in minutes?
0.000000000013220195
How many milliseconds are there in 12.56107s?
12561.07
What is 2701126.5 minutes in hours?
45018.775
Convert 141078.3ns to milliseconds.
0.1410783
What is 751.935 kilometers in centimeters?
75193500
How many centuries are there in 27/5 of a millennium?
54
What is 2619.6549ns in minutes?
0.000000043660915
Convert 5290.872kg to nanograms.
5290872000000000
What is 31537.8 hours in weeks?
187.725
Convert 53459.36 weeks to milliseconds.
32332220928000
How many kilograms are there in 6.520612 milligrams?
0.000006520612
How many litres are there in 0.127759 millilitres?
0.000127759
How many months are there in 1/6 of a century?
200
What is twenty-seven fifths of a meter in centimeters?
540
Convert 15.5137 grams to micrograms.
15513700
How many kilograms are there in 0.0001624mg?
0.0000000001624
What is 26/5 of a millennium in centuries?
52
What is three fifths of a hour in minutes?
36
How many millennia are there in 38277.07 centuries?
3827.707
How many hours are there in 46.643076 nanoseconds?
0.00000000001295641
How many nanometers are there in 9.51186m?
9511860000
How many meters are there in twenty-one quarters of a kilometer?
5250
How many days are there in 2/7 of a week?
2
How many milligrams are there in 34202.12t?
34202120000000
What is fourty-three halves of a hour in minutes?
1290
What is 3/5 of a kilometer in meters?
600
What is 0.99687 weeks in seconds?
602906.976
What is one twentieth of a microgram in nanograms?
50
What is 215.74884 minutes in hours?
3.595814
What is thirty-one halves of a decade in years?
155
How many nanograms are there in one quarter of a | {
"pile_set_name": "DM Mathematics"
} |
. Suppose 2*k = -2*t - 0*k, 5*k = -2*t - 15. Which is the second biggest value? (a) x (b) t (c) 9
b
Let q = -1.3 - -1.1. Let f = 1 - 0.7. Which is the second smallest value? (a) 2/7 (b) q (c) f
a
Let i = 2/109 + 212/327. Let w = -0.8 + -0.1. Let y = w + -1.1. What is the smallest value in 0, y, i?
y
Let d(m) = m**2 - m. Let o be d(1). Suppose -3*c = -b - 7, -2*b + c = -b + 1. Let w be o + 39/18 - b. What is the biggest value in -1/3, 5, w?
5
Let k = 11 - 9. What is the second biggest value in k, -2/5, -1/3?
-1/3
Let s = 11 + -17. Let g = -9 - s. What is the second biggest value in g, -5/4, -2/7?
-5/4
Let c = -75 - -58. What is the third biggest value in 1/7, 2/3, c?
c
Let w = -1/9 - 43/18. Which is the second biggest value? (a) w (b) 1 (c) 2 (d) -0.7
b
Let w = -26.4 - -33.4. Let x = -0.7 + 0.4. What is the second smallest value in w, 0.4, x?
0.4
Let t = -1/43 - 124/215. Let m be (-1)/(-3 - 6)*6. Let v = -1 - -3. Which is the third smallest value? (a) t (b) v (c) m
b
Let c = 11 - 20. Let d = c + 11. Let l(a) = a + 1. Let y be l(-1). What is the second smallest value in d, 0.1, y?
0.1
Let h = 15 - 14. What is the second biggest value in h, 4, -3?
h
Let v = -4.061 + 0.061. What is the second biggest value in -49/4, v, -0.3, -1?
-1
Let n = 0.2 + 0.2. Let i = 2.9 + 0.1. What is the third smallest value in n, i, 2/21?
i
Let m = 0.1 + 0.4. Let o = -5 - 0. Which is the biggest value? (a) m (b) -0.3 (c) o
a
Let t be 1/(-6) - 21/(-126). Let x = -36 - -215/6. What is the second smallest value in x, -0.1, t?
-0.1
Suppose -15 = 45*j - 40*j. What is the smallest value in j, 8, 0.5?
j
Let l be 2*-1*(-8)/120. What is the third biggest value in l, 2/7, 0.01?
0.01
Let i = 5 + -9. Let x = i + 0. Let o be 1/(-4) - 1/x. Which is the third smallest value? (a) 4/5 (b) -1/8 (c) o
a
Suppose 0 = z - 4. Let y = -1.3 - -3.3. Which is the second biggest value? (a) y (b) z (c) -4
a
Let o = 0 + -1. Let u = 0.14 - 0.04. What is the third smallest value in o, -4, u?
u
Let r = 11 + 2. Suppose 2*g - 3 = -r. Which is the biggest value? (a) -1/8 (b) g (c) 0.4
c
Let x be (-1)/(4/(-64)*-4). Let s be ((-3)/(-6))/((-2)/(-24)). Suppose 0 = -3*n + s*n + 9. Which is the biggest value? (a) -5 (b) n (c) x
b
Let d be 1/((2 - 3) + 0). Let g be d/(-6) - 1/2. What is the second biggest value in g, -4, -6?
-4
Let w be (-19)/((-3)/(-3 - -15)). Let t = w + -381/5. What is the smallest value in t, -2/13, 5/6?
t
Let g = 1/4776 + 331931/4776. Let b = -68 + g. What is the third biggest value in b, 3/5, -2/15?
-2/15
Let g(x) = -4*x**3 - x**2 + 2*x + 2. Let t be g(-1). Let o = -1.8 + 2. Which is the third biggest value? (a) o (b) t (c) -4
c
Let h = -0.53 - -0.6. Let i = -0.57 + h. Which is the smallest value? (a) -1/4 (b) i (c) 0
b
Let u = -3 - -6. Let q(p) = -4*p + 20. Let g(o) = o - 7. Let r(j) = -10*g(j) - 3*q(j). Let h be r(-5). What is the third smallest value in u, h, -5?
u
Let u = -95/2 - -49. Let g(k) = -k + 2. Let i be -3 + 5 + 0/(-3). Let j be g(i). Which is the third smallest value? (a) u (b) j (c) -4
a
Let z = 34 - 41.5. Let s = -8 - z. Which is the second biggest value? (a) s (b) -0.04 (c) -0.1
c
Let a = -35.8 - -39. Let o = -3 + a. Let n = -3.2 + 3. What is the third biggest value in n, 3/4, o?
n
Let b be -25 + (3 - 2 - 3). Let f be 4/(-18) + 48/b. Let l be (2/8)/(f/6). What is the third smallest value in 2, -0.2, l?
2
Let s = 101 + -100.3. What is the second biggest value in 2/3, -2, s?
2/3
Let m be (-2)/7 - (-18)/112. Suppose -19*o = 107 - 12. What is the third biggest value in m, o, 5?
o
Let q = 4.833 - -0.067. Let s = -5 + q. What is the third smallest value in 1/10, 5, s?
5
Let d be 1/((-27)/12)*36/120. Let j = 4.6 - 5. Which is the third smallest value? (a) 2 (b) j (c) d
a
Let l = -25/28 - -103/84. Let o = -3 - -2. Which is the third biggest value? (a) o (b) -2 (c) l
b
Let g = -0.51 - -0.21. What is the smallest value in -1/5, 1/13, g?
g
Suppose 2*f - m + 3 - 4 = 0, -6 = -2*m. Suppose 0 = -2*g + 2*h - f - 2, 5*h - 30 = -5*g. Let c = 1.3 + -1.1. What is the second biggest value in c, 0.3, g?
0.3
Let f(q) be the third derivative of q**4/24 - 5*q**3/6 - 3*q**2. Let x be f(4). Which is the third smallest value? (a) x (b) -3 (c) -1/4
c
Let h = 4.6 - 3.32. Let t = h - 0.28. What is the second smallest value in -3, 2, t?
t
Let i = -4.3 - -4. Suppose 2*m = -3*m + 10. Suppose -m*r + 22 = 2*x - 6*r, -x - 5*r - 17 = 0. Which is the third biggest value? (a) i (b) x (c) 0.4
a
Let v = 4 - 3. Let l = -1.4 + v. Suppose -41 + 16 = 5*m. Which is the third biggest value? (a) m (b) l (c) 4
a
Let y = 0.06 - 6.06. Which is the third biggest value? (a) y (b) 5 (c) 3
a
Let x be (-21)/63 + (-4)/(-6). What is the fourth smallest value in 2, x, -0.3, 0.07?
2
Let h = 29 - 29. Which is the biggest value? (a) -3/5 (b) h (c) -1/2
b
Let q = -3 + 6. Suppose u - 30 = -q*u - 2*z, 0 = u - 3*z + 10. What is the third smallest value in u, -6/7, 4?
u
Let r = 6.6 - -1.4. Let j = -5 + r. What is the biggest value in 5, -5, j?
5
Suppose 0 = 9*t - 4*t. Suppose m = -5*v - 17, 2*v + 4 = m - t. Which is the second biggest value? (a) 3 (b) v (c) 1/3
c
Let j = 2 - 8. Let r = -6.2 - j. Let y = r + -3.8. Which is the biggest value? (a) -2/15 (b) 1/5 (c) y
b
Suppose -5*j - 3*q + 6 = 0, 2*q = -5*j + 3*q - 2. Suppose 5*y - 3*b = 6, 4*b + 5 + 3 = j. What is the second biggest value in 0.3, 5, y?
0.3
Let m = 1.4 - 3.4. Let v(j) = -4*j**3 + j + 1. Let y be v(-1). Which is the third biggest value? (a) -0.1 (b) m (c) y
b
Let n be (0 + 12)*(-1)/22. Let g = 2.2 - 0.2. Let q = -3 + g. Which is the biggest value? (a) q (b) n (c) 0
c
Suppose 0 = 38*d - 40*d + 46. Which is the second biggest value? (a) -5 (b) 0 (c) d
b
Let u be (-26)/42 + 2/6. Let s = -133 + 132.7. Which is the smallest value? (a) 0 (b) u (c) s
c
Suppose -5 = -p + 4*g, -8*g + 2 = p - 9*g. Let u = -468/7 - -67. Which is the smallest value? (a) -2/9 (b) u (c) p
a
Let v = 5 + -3. Which is the smallest value? (a) v (b) -2/7 (c) 0.3
b
Let p = -12 - -8. What is the third smallest value in 3/8, p, 0.3?
3/8
Suppose 0 = 9*p - 10*p + 2. Let t = -29 - -86/3. Let s = 3 - 5. Which is the third biggest value? (a) t (b) p (c) s
c
Let t = -1 + -12. Let p = 12 + t. Which is the second smallest value? (a) -4 (b) 0 (c) p
c
Let n = -30 + 17. Let x = 16 + n. What is the second smallest value in x, 0.1, 1?
1
Let y = -23 + 22.6. Which is the biggest value? (a) 4 (b) y (c) -1/2
a
Let t be (1 - 8)*8/(-28). What is the biggest value in t, 8, -4/3?
8
Suppose 0 = f + 3. Let g be (f/(-4))/(204/32). Let n(q) = q - 4. Let m be n(6). Which is the second biggest value? (a) g (b) 0.5 (c) m
b
Let b be 2*(-2)/3 - -2. Let p = 70/11 + -475/66. What is the second smallest value in p, 0.1, b?
0.1
Let z be (72/42)/6 + (-2)/(-14). Let d be 3/(-36) + 4/(-6). Which is the third smallest value? (a) z (b) d (c) -0.4
a
Let p = -6 + 5.94. Let h = p - -6.06. Let g = 4 - h. What is the third smallest value in 2, g, 4?
4
Let z be (3/(-14))/((-15)/(-20)). Which is the biggest value? (a) z (b) -1/5 (c) 1/5
c
Let r = 19 + -14. What is the smallest value in -1/5, r, 1/2?
-1/5
Let o = 0.7 + -0.2. Let g = 70 + -75. What is the third biggest value in -3, o, g?
g
Let g = -387/2 + 204. Let u = 65/6 - g. What is the biggest value in 1, -5, u?
1
Let f be (-1)/(-3) + 91/42. What is the smallest value in 3/4, -7/4, f?
-7/4
Let r = -21.1 + 23. Let p = -1.1 - r. Let o = -0.9 - 4.1. Which is the second biggest value? (a) 1 (b) o (c) p
c
Suppose 18*i = 21*i - 12. Which is the second biggest value? (a) -2 (b) 0.1 (c) 0.6 (d) i
c
Let f = 82 - 80. What is the second smallest value in f, 0.08, 3/7?
3/7
Let u = 6 + -1. Which is the biggest value? (a) 0.2 (b) u (c) 0.9
b
Let o = -158 - -171. Which is the fourth smallest value? (a) -5 (b) -0.1 (c) 0.5 (d) o
d
Let h = -5618/105 - -268/5. What is the biggest value in 3, -3, 1/9, h?
3
Let v = 4/31 - -104/155. Let i = -1.63 + -0.27. Let w = i + 2. What is the third biggest value in -4/5, v, w?
-4/5
Suppose -3*z + 5*z - 2 = 0. Let i = 0.14 + -0.48. Let p = i + -0.06. What is the second biggest value in z, -1, p?
p
Let s be ((-6)/(-9))/(4/(-6)). Let t be (-2 - s)/(11/5). Let h = 7/11 + t | {
"pile_set_name": "DM Mathematics"
} |
1)*(-1 - 5 + 4)*(-d + 3*d - 3*d) to the form o*d**3 + z + x*d**2 + c*d and give o.
56
Rearrange (-220 + 412 - 210)*(r - r + 2*r) to t + n*r and give n.
-36
Rearrange (2*r**2 - r**2 + 2*r**2)*(-3*r + r + 4*r) - 331 - 331 + 992 - 7238*r**3 - 330 to the form m*r**3 + b*r + q*r**2 + o and give m.
-7232
Rearrange 6*i**2 - 16*i**2 + i + 922 + 8*i**2 - i to y + w*i + p*i**2 and give w.
0
Express 0 - 98*i + 100*i + 5*i**2 + 0 - 15*i**2 as q*i + k + h*i**2 and give k.
0
Express 1 - 1 - 4*b + (-1 - 4 + 4)*(1 - 1 - b) - 227 - 55*b + 227 as o*b + w and give o.
-58
Rearrange (-3*u - 4*u + 5*u)*(-962 + 1460 - 993) to the form r*u + z and give r.
990
Rearrange 34*h**2 + 30*h**2 + 29*h**2 - 57*h**2 to the form f*h**2 + i + q*h and give f.
36
Rearrange -3669*z + 12*z**4 - 6 - 4*z**4 - 2*z**2 + 3668*z to r + b*z**3 + o*z**4 + g*z**2 + a*z and give g.
-2
Rearrange (4*l - 3*l + l)*(-11 + 11 - 6*l) + l**2 - 12*l + 12*l + (l + 2*l - 2*l)*(-1 + l + 1) to the form y + i*l**2 + m*l and give m.
0
Express (82 + 17 + 10)*(2 - 2 - f)*(-2 - 3 + 2)*(-2*f + 1 - 4 + 0*f) in the form z + l*f**2 + a*f and give a.
-981
Express -680*s + 80*s + 66*s in the form f*s + q and give f.
-534
Express -75 + 4 + 3 - 255*d - 10 + 253*d as v + r*d and give r.
-2
Express -191*x - 60*x**4 + 191*x + (-3 - 2 + 3)*(-2*x + x**4 + 2*x) as s + a*x**2 + p*x**4 + q*x**3 + d*x and give p.
-62
Rearrange -1359*v - v**2 - 41 + 1359*v to the form q*v + o + j*v**2 and give j.
-1
Rearrange 1199*x + 1276*x - 449*x + 934*x to the form u + r*x and give r.
2960
Express (1446 - 1446 - 43*t**2)*(t**2 - t**2 + t**2) - t**4 - 2*t**4 - 2*t**4 in the form n + h*t**4 + o*t + s*t**2 + j*t**3 and give h.
-48
Express 4*r**2 + 2 - 2 + (107*r + 137 - 137)*(-r + 2 - 2) as k + v*r**2 + l*r and give v.
-103
Rearrange 0*s**3 + 68*s**2 - 72*s**2 + 8*s**3 + 1 to c*s**2 + f + o*s + n*s**3 and give f.
1
Express -158 + 45 - 256 + 54 + g as v + l*g and give l.
1
Express 8*o**4 - 3 - 7*o**4 - o**2 + 96*o**3 - 98*o**3 - 12*o as k*o**3 + x + c*o + n*o**4 + t*o**2 and give x.
-3
Express (-51*z + 22*z - 11 + 27*z)*(17 + 15 - 51) in the form y*z + m and give m.
209
Express 1 + 0 + 590*w**2 - 997*w**2 - 1 in the form y*w + a + i*w**2 and give i.
-407
Express ((-7*o + 13*o + 5*o)*(0 - 2 + 4) - 11*o - o + 5*o)*(12*o + 4*o + 2*o) in the form j + u*o + h*o**2 and give j.
0
Express u**2 - u + u + (2 - 2 - u)*(0*u - 3*u + u) + (-3*u + 0*u + 4*u)*(-3*u + 4*u + u) + 8 - 14*u**2 - 8 as r + z*u**2 + f*u and give z.
-9
Rearrange (h + 0*h - 2*h + (-3*h + 0*h + h)*(-6 + 3 + 4) - 19*h - 11*h + 9*h + 2*h - 4 + 4)*(-2 + 2 + 3) to s*h + o and give o.
0
Rearrange (-7 + 16 + 7)*(0 + 0 - 1)*(-u + 2*u - 3*u) to b + f*u and give f.
32
Rearrange (24 + 42 - 47)*(-2*m**2 - 2*m**2 - 8*m**2) to c*m**2 + u + r*m and give c.
-228
Express (0*j + 3*j - 2*j)*(-j + 2*j + j) + 2*j**2 - 2*j + 2*j + 7*j + 1 - 84*j**2 - 36*j**2 - 9*j as t*j + l*j**2 + r and give t.
-2
Express (-47*a - 35*a - 55*a + 19*a + 6*a)*(12*a**3 - 10*a**3 + 27*a**3) as y*a**4 + b*a**2 + f*a + r*a**3 + v and give y.
-3248
Express (617 - 1878 + 854)*(2*q + 2 - 2) - 3*q + 7*q - 2*q as v + a*q and give a.
-812
Rearrange j**3 - 5 + 4 + 6*j + 2 - 2*j to k + p*j**3 + n*j**2 + a*j and give k.
1
Rearrange 71*k**2 - 2*k - 68*k**2 - 6*k**3 - 3*k**4 + 7*k**3 to the form d*k**4 + o + c*k + w*k**3 + j*k**2 and give d.
-3
Rearrange -23*n**3 - 3*n**2 - 48*n + 48*n + 233 - 222 to g*n + y*n**3 + u*n**2 + r and give u.
-3
Rearrange (q - 3*q + 0*q)*(-2 + 2 + q)*(7*q - 42 - 5 + 15)*(-q + 3*q + 0*q) to the form r*q**3 + u*q**2 + y*q**4 + h + n*q and give y.
-28
Rearrange 6 + 1 + 2*g**4 - 15*g**3 - 3*g**4 + 12*g**3 - 3*g**2 + g**3 to o + f*g**2 + m*g**4 + j*g + u*g**3 and give o.
7
Rearrange -59*z - 2*z**3 + 4*z**2 + 45*z - 1 - 116*z - 2*z**2 to t*z**3 + f*z + g*z**2 + d and give d.
-1
Rearrange (4 + 2 - 5)*(-27 - 21 + 50 + b - 43) to z + j*b and give z.
-41
Express 10*c - 7 + 29 - 20 in the form r + m*c and give m.
10
Express (99 - 89 - 1231)*(x - 3 - 2 + 3) as c + n*x and give c.
2442
Rearrange (0 - 3 + 6)*(-12*w**4 + 14*w**4 + 2*w**4)*(0 + 3 - 2) to t + n*w**2 + c*w + k*w**4 + l*w**3 and give k.
12
Rearrange -10*k**3 + k**4 + 26 - 2*k**2 - 17 - 2*k + 10*k**3 to the form j + z*k**4 + m*k**3 + a*k**2 + n*k and give j.
9
Rearrange 0 + 27*d + 3*d - 5 + 0 - 6 to the form t*d + f and give f.
-11
Express (-7 + 3 - 13*x + 3)*(x**2 - 8*x - 3 + 8*x) as m*x**3 + q*x + s*x**2 + b and give m.
-13
Express 6291*z**3 - 20*z**2 - 6292*z**3 - 4*z - 14 + 12 + z**2 in the form a + l*z**2 + f*z**3 + p*z and give f.
-1
Rearrange (-196 - 52 - 126 + 12 - 263)*(6 - 4*q**3 - 6) to u*q**2 + t*q**3 + a*q + f and give t.
2500
Express 4*z + z**2 - 3*z**3 + 9086 - 6*z - 9085 in the form b*z + g*z**3 + s + y*z**2 and give g.
-3
Rearrange -2*k + 2 - 2*k + 8*k**2 + 36*k**2 - 6*k**2 to the form p + u*k**2 + f*k and give u.
38
Express -39*j - 5*j - 12*j - j + 3*j**2 + 3*j**3 + 2 as i*j**3 + x*j + p + o*j**2 and give x.
-57
Rearrange -13 + 8*w + 14 - 13 to i + v*w and give v.
8
Rearrange 142*z**2 - 140*z**2 - 9*z + 10*z + 2*z**3 to c*z + w*z**3 + j + l*z**2 and give w.
2
Express -551*r + 1665 + 1098*r - 548*r as o + g*r and give o.
1665
Express -5*h**2 + 2*h**2 - 5*h**2 + (3 + 1 + 1)*(-3 - 1 + 3)*(h**2 - 4*h**2 + 5*h**2) in the form c + q*h**2 + u*h and give q.
-18
Express (-7*j**3 - 13*j**3 - 2*j**3)*(2*j - 2*j + 3*j) + 2*j**2 - 2*j**4 - 2*j**2 as p + l*j**2 + z*j**3 + r*j**4 + k*j and give l.
0
Rearrange (-4*t + 2*t + 0*t)*(-3 + 3 + 1)*(-86 + 151 + 146) to w*t + a and give w.
-422
Rearrange -25*g**3 + 1558162 - 1558162 - 13*g to the form o*g**2 + p*g + m*g**3 + q and give m.
-25
Express -1 + 1 - 2*h + 2*h - 2 + 2 + (-h + 3*h - 4*h)*(1 + 0 + 1) - 2*h - 3*h + 2*h as r*h + d and give r.
-7
Express -2*p + 0 + 0 + (2 - 3 + 2)*(6*p - 3*p - p) + 2*p - 4*p + 3*p + p - 2*p + 2*p + (-65 + 25 - 39)*(-2 + 2 - 2*p) in the form s + f*p and give f.
160
Rearrange 8*j**4 + 2*j**3 + 8354 + j**2 + 18*j - 2*j**4 - 8354 to m + y*j**4 + l*j + x*j**3 + o*j**2 and give y.
6
Express -3 - 94*x - 95*x - 97*x + 278*x in the form u*x + j and give u.
-8
Express -6*y + 12*y - 15*y in the form t*y + d and give t.
-9
Rearrange 22 - 9*c**2 + 5*c**2 + 0 + 18 to the form s*c**2 + j*c + a and give a.
40
Rearrange -l**2 + 0 - 3*l**2 + 0*l**2 + 0*l**2 + 168 to the form b*l + q*l**2 + f and give f.
168
Express -98*a - 4 + 0 + 98*a - 19*a**2 as t*a**2 + q + g*a and give q.
-4
Express ((0 + 1 - 3)*(-4*u + 5*u + u) - 250 + 250 + 28*u)*(-2*u**3 + 2*u**3 - 2*u**3) as c*u**4 + a*u**2 + q*u**3 + y*u + j and give q.
0
Express 548 + 495*v + 553 + 360*v - 1101 in the form b*v + w and give b.
855
Rearrange -208*g + 746*g - 110*g + (4 - 4 + g)*(-5 + 1 + 3) to h*g + k and give h.
427
Rearrange -7*w**4 + w**3 - 5 - 8*w**4 - 2*w + 5*w**4 to o*w**4 + q*w**3 + f + m*w**2 + u*w and give u.
-2
Rearrange -33*k - 19*k - 3*k + 4*k - 2 + 3*k to j + h*k and give j.
-2
Rearrange (-1 + 1 + 2)*(0*l + 2*l - 4*l + (l - 4 + 4)*(1 + 1 - 4) - 31*l + 66*l - 67*l) to b + p*l and give p.
-72
Express (0 - 1 + 0)*(m + 2*m**3 - m) + 64*m**3 - 975*m**3 + 92*m**3 as q*m + l + o*m**3 + g*m**2 and give q.
0
Rearrange (-u**2 - 4*u + 4*u)*(4 + 2 - 5) - u**2 - 3 + 3 - 139*u**2 + 11*u**2 + 4*u**2 to the form x*u**2 + a*u + g and give a.
0
Rearrange -y**2 + 6*y**2 - 196*y**3 - y**4 + 11*y**2 + 168*y**2 + 195*y**3 to z*y**2 + a*y**3 + n*y + b*y**4 + o and give a.
-1
Rearrange 80 + 2*v + 3*v**3 - 2*v**3 + 2*v**2 - 77 + v**4 to the form y*v**2 + h*v**4 + n*v + z*v**3 + k and give n.
2
Rearrange (0*q + 4*q + 2*q)*(32*q**2 + 2 - q**3 - 6*q**2 - 11*q**2) to the form x*q**2 + i*q**4 + a + g*q + f*q**3 and give f.
90
Express i**4 + 8*i - 9*i + 117*i**2 - 1 - 84*i**2 in the form l*i**4 + x + r*i**2 + o*i + t*i**3 and give l.
1
Rearrange 2959*n**2 - 1476*n**2 - 1482*n**2 + 33*n to the form q*n**2 + v + m*n and give m.
33
Express 44*t - 44*t + 2*t**3 - 48 - 15 as j*t**2 + d*t + i*t**3 + n and give i.
2
Express 2*x**3 + 4146*x**2 + 397 - 2*x - 4146*x**2 as z + y*x**2 + a*x + g*x**3 and give a.
-2
Express (-4 + 5*r + 4)*(32 - 85 + r**3 - 3*r**3) in the form c + p*r**2 + f*r + s*r**4 + h*r**3 and give s.
-10
Express t - 39*t**3 - t - 4*t**2 - 46*t**3 + t**2 in the form l*t**3 + y*t + u*t**2 + o and give u.
-3
Express (2*m**2 - 5*m**2 + 4*m**2)*(-2 - | {
"pile_set_name": "DM Mathematics"
} |
n four letters picked without replacement from {x: 2, c: 1, k: 2, s: 1, t: 1, l: 1}.
1/840
Three letters picked without replacement from pppppgvvvpppppggvvg. Give prob of sequence gpg.
20/969
Three letters picked without replacement from yywlbbou. Give prob of sequence yby.
1/84
What is prob of sequence tx when two letters picked without replacement from hkhxbtr?
1/42
Two letters picked without replacement from {a: 1, c: 1, j: 1, b: 3, r: 1}. Give prob of sequence br.
1/14
Four letters picked without replacement from {i: 1, b: 2, u: 5, t: 1, s: 1, c: 10}. Give prob of sequence ibtu.
1/11628
What is prob of sequence ph when two letters picked without replacement from {p: 9, i: 1, h: 9}?
9/38
Calculate prob of sequence ipm when three letters picked without replacement from ppphhmwwlilwhl.
1/728
Four letters picked without replacement from {i: 3, b: 3, w: 1}. Give prob of sequence bibw.
3/140
Two letters picked without replacement from bbbmmbbmbmb. Give prob of sequence mb.
14/55
Three letters picked without replacement from {p: 2, l: 3, t: 10, w: 3}. Give prob of sequence ltt.
15/272
What is prob of sequence clc when three letters picked without replacement from llccclsslccc?
1/11
What is prob of sequence sy when two letters picked without replacement from {s: 2, y: 3, h: 1, w: 1}?
1/7
Calculate prob of sequence zyz when three letters picked without replacement from tttzyztzt.
1/84
Calculate prob of sequence xn when two letters picked without replacement from njnxk.
1/10
What is prob of sequence cr when two letters picked without replacement from ppqoccrg?
1/28
Calculate prob of sequence aa when two letters picked without replacement from ccxxaacc.
1/28
Two letters picked without replacement from pfppppfpfplplfpp. Give prob of sequence pf.
1/6
Two letters picked without replacement from gggggggggahjglholg. What is prob of sequence ja?
1/306
Three letters picked without replacement from {y: 1, s: 3, b: 4, v: 2, h: 6}. Give prob of sequence vhy.
1/280
Two letters picked without replacement from yaymygxyyymgyu. What is prob of sequence my?
1/13
Two letters picked without replacement from {y: 6, d: 7}. What is prob of sequence dd?
7/26
Two letters picked without replacement from hlhhhhbhlhhhlhhhlhhl. What is prob of sequence lh?
7/38
Calculate prob of sequence rao when three letters picked without replacement from uoupras.
1/210
Three letters picked without replacement from {e: 6, w: 7, d: 2}. Give prob of sequence ddw.
1/195
Calculate prob of sequence zcza when four letters picked without replacement from {a: 4, z: 4, v: 4, c: 2}.
4/1001
Four letters picked without replacement from faaaksafvsaafakskss. Give prob of sequence skks.
5/3876
Calculate prob of sequence vfff when four letters picked without replacement from ffffvffffvfvffffffff.
2/19
Three letters picked without replacement from vvemfwmvemffmv. Give prob of sequence vmf.
2/91
Three letters picked without replacement from {p: 6, o: 1, l: 4, k: 4}. Give prob of sequence lpo.
4/455
Two letters picked without replacement from {t: 1, i: 1, g: 13}. What is prob of sequence gt?
13/210
What is prob of sequence dp when two letters picked without replacement from {w: 1, d: 2, c: 1, p: 1, e: 2}?
1/21
What is prob of sequence mpmp when four letters picked without replacement from {m: 2, o: 1, p: 14, b: 2}?
91/23256
Three letters picked without replacement from {z: 3, e: 1, p: 1}. What is prob of sequence zep?
1/20
Two letters picked without replacement from dcdcddddcddcdc. Give prob of sequence dd.
36/91
Two letters picked without replacement from {w: 1, y: 1, s: 1, d: 2, h: 1, o: 1}. What is prob of sequence yw?
1/42
Two letters picked without replacement from {v: 1, f: 1, e: 1, y: 1, j: 1}. Give prob of sequence je.
1/20
Three letters picked without replacement from ddjdxxnabjjjjjjdjjxx. What is prob of sequence jdd?
3/190
What is prob of sequence iuu when three letters picked without replacement from iiiuqqxqqqiquiqiiqqi?
2/855
What is prob of sequence pgj when three letters picked without replacement from {l: 3, g: 6, p: 1, j: 2, w: 3}?
2/455
Two letters picked without replacement from {h: 3, w: 1, u: 1, r: 1, y: 1, g: 5}. Give prob of sequence uw.
1/132
Two letters picked without replacement from {i: 6, c: 4, r: 4}. Give prob of sequence ci.
12/91
Calculate prob of sequence di when two letters picked without replacement from {d: 3, i: 3, g: 7}.
3/52
Three letters picked without replacement from {k: 1, w: 2, f: 1, c: 1}. Give prob of sequence kkk.
0
What is prob of sequence nuvv when four letters picked without replacement from {l: 4, v: 4, u: 2, x: 1, g: 1, n: 2}?
2/1001
Three letters picked without replacement from hshsshshhs. Give prob of sequence ssh.
5/36
What is prob of sequence rk when two letters picked without replacement from {y: 1, f: 1, c: 2, j: 2, k: 1, r: 1}?
1/56
What is prob of sequence mmq when three letters picked without replacement from mqmqmmmmmmmm?
3/22
What is prob of sequence yz when two letters picked without replacement from fzmmzmymzyy?
9/110
What is prob of sequence sjjs when four letters picked without replacement from jjjjhshjjjhsjjjjjj?
13/3060
Calculate prob of sequence zn when two letters picked without replacement from {h: 2, t: 8, n: 1, z: 2, e: 1, w: 1}.
1/105
Four letters picked without replacement from apmbpkq. Give prob of sequence qbkm.
1/840
Three letters picked without replacement from {d: 7, b: 2, y: 9}. What is prob of sequence bby?
1/272
What is prob of sequence znzb when four letters picked without replacement from {q: 2, n: 1, b: 2, z: 1}?
0
Two letters picked without replacement from {g: 3, w: 2, s: 6, j: 3, q: 1, t: 5}. Give prob of sequence sj.
9/190
What is prob of sequence ryj when three letters picked without replacement from xxrxymjxyx?
1/360
Three letters picked without replacement from {j: 1, x: 7, y: 1, c: 3, q: 2, t: 3}. Give prob of sequence xyt.
7/1360
Calculate prob of sequence afza when four letters picked without replacement from afzfaftaaaasszs.
1/182
Three letters picked without replacement from edffyyyyufuzyyu. What is prob of sequence yeu?
3/455
What is prob of sequence opoo when four letters picked without replacement from {p: 7, o: 9, h: 3}?
49/1292
Four letters picked without replacement from qqqxqqqqqqxqqqxqqqqq. Give prob of sequence xqqq.
2/19
What is prob of sequence dd when two letters picked without replacement from {d: 2, a: 3, e: 4}?
1/36
Calculate prob of sequence ffg when three letters picked without replacement from {f: 3, g: 7, v: 4}.
1/52
Four letters picked without replacement from {u: 3, j: 4, q: 1, s: 4, y: 4}. Give prob of sequence yyjj.
3/910
Three letters picked without replacement from {l: 2, r: 2, k: 1, u: 1}. What is prob of sequence rlk?
1/30
Three letters picked without replacement from {g: 2, u: 10, f: 4}. What is prob of sequence fgf?
1/140
Three letters picked without replacement from wmnvg. What is prob of sequence gnw?
1/60
Calculate prob of sequence ezz when three letters picked without replacement from eezrzrrzzrzrarezraz.
7/323
Calculate prob of sequence bdb when three letters picked without replacement from {b: 4, d: 14}.
7/204
Calculate prob of sequence lk when two letters picked without replacement from kglgklygg.
1/18
Calculate prob of sequence op when two letters picked without replacement from ggpoongrgno.
3/110
Four letters picked without replacement from djjjjjjjwd. What is prob of sequence djjw?
1/60
Two letters picked without replacement from fce. Give prob of sequence fc.
1/6
Calculate prob of sequence rfzc when four letters picked without replacement from {z: 4, l: 5, c: 2, f: 4, r: 1}.
1/1365
Two letters picked without replacement from {a: 1, h: 1, q: 1}. Give prob of sequence ah.
1/6
What is prob of sequence oa when two letters picked without replacement from qpooooapo?
5/72
Four letters picked without replacement from phsqssphnynqpys. Give prob of sequence qqnh.
1/4095
Calculate prob of sequence udu when three letters picked without replacement from puuupduuuuppupuupup.
55/2907
Calculate prob of sequence iiqq when four letters picked without replacement from {i: 5, t: 1, q: 4, o: 3}.
2/143
Two letters picked without replacement from lslxllsx. What is prob of sequence ss?
1/28
| {
"pile_set_name": "DM Mathematics"
} |
55, i, 10, -8, 0.4?
10
Let z = -314.2 + 314.208. Which is the biggest value? (a) 0.02 (b) 0.2 (c) -5 (d) z (e) -2/7
b
Let q = 0 + 0. Let t = -1284 - -1288. Let y be (-172)/22 - (-12)/(-66). Which is the second biggest value? (a) q (b) y (c) t
a
Let i = 21733 + -21733.2. What is the smallest value in 0.02, i, 0.033?
i
Let h = 20412 - 20431.2. What is the third smallest value in 1, h, -2/25?
1
Let o = 279 - 155. Let m = o + -128. Suppose 4*t + t = 5*w, -w = -2*t + 1. What is the fourth biggest value in w, -2/13, m, 0.11?
m
Let n = -29522 - -31497. What is the third biggest value in 0, n, 1/10?
0
Let u = 39.6 + -210.6. Let f = 174 + u. Which is the second biggest value? (a) f (b) -1/2 (c) 12
a
Let l be (4 + -1)*(-7)/(-28). Let h = -1483 + 1483.2. What is the fourth smallest value in 0.3, -5, l, h?
l
Let o(z) = 6*z**2 - 3*z + 2. Let j be o(-4). Let r = 52989 - 52988. Which is the smallest value? (a) 1/8 (b) j (c) 2/3 (d) r
a
Let o = -5979 + 5975. Which is the third biggest value? (a) -2/3 (b) -7 (c) o (d) -3
c
Let h be 14 - 132/(-27)*-3. Which is the biggest value? (a) 5 (b) -6 (c) 2 (d) h (e) -4
a
Let k = -313.596 - -314. Let j = k - 0.004. Which is the third biggest value? (a) -0.04 (b) 2/3 (c) j
a
Let n = -303 - -302.847. Let j = 1.153 + n. Let i = -24 - -76/3. Which is the biggest value? (a) 4 (b) i (c) j
a
Let c = -0.255 - -0.025. Let v be 6 + 0 - 1672/285. What is the second smallest value in c, 2, v?
v
Let i = 0.02 - -2.98. Let o = -52.9 + -366.1. Let z = o - -419.4. What is the smallest value in i, z, -7/3?
-7/3
Let h = 0.27185 + 0.42815. Let z = 0.8 - 1. What is the fourth smallest value in z, -4, h, -0.1?
h
Let k be (-110)/(-33) + 2/(-6)*-2. Let d be (4/6)/(-5 + 5 + -2). What is the smallest value in k, 10, d?
d
Let p be (5/1)/(-23 + 22) - -5. Let r be 3*((-32)/(-60))/(-4). Which is the second biggest value? (a) -2/13 (b) p (c) r (d) 2
b
Let k(n) = -5*n + 214. Let i be k(45). Let p = -2.6 - -2.48. Let f = p + 2.12. Which is the third biggest value? (a) f (b) -0.3 (c) i
c
Let v = -0.1 + 0.1. Let g = 1168 - -51. Let q = 1218.9 - g. Which is the fourth smallest value? (a) -14 (b) v (c) q (d) 5
d
Let d = 0.6 + -1.6. Let l be 1797/(-204)*(-2 - 0)*-18. Let x = l - -317. What is the biggest value in -2/5, d, x?
x
Let m = 428065/3 + -142688. Let j = -0.5 + 3.5. What is the smallest value in j, m, 15?
m
Let l = 97 - 94. Suppose 6 = -n + l. Which is the third biggest value? (a) n (b) -5 (c) -4/7 (d) -0.2
a
Let l = -0.064 + -4.796. Let n = l + 92.86. What is the third smallest value in -1, 0.5, n?
n
Let l = -5.701 + 5.701. What is the fifth biggest value in 26, 6, -1, 8, l?
-1
Let v = -8.36 - -105.56. Let s = -97 + v. Which is the third smallest value? (a) 0 (b) -1/7 (c) -3 (d) s
a
Let u = 1181/295 + -12/59. Let z = u + -4. Let y = -143 - -145. Which is the third smallest value? (a) y (b) z (c) 5
c
Let k = 15329 + -15335. Which is the fourth biggest value? (a) 5 (b) -9 (c) -1.5 (d) k
b
Let f = -3.896 + 0.046. Let j = -0.15 + f. Which is the third biggest value? (a) j (b) -0.2 (c) -0.3
a
Let k = -13271 - -66357/5. Which is the biggest value? (a) 35.3 (b) -5 (c) -2/13 (d) k
a
Let z = -27140 + 27137. Which is the second biggest value? (a) 2 (b) z (c) 0.4
c
Suppose 4*r - 10 - 6 = 0. Let c be (-10)/24 + 1/r. What is the third smallest value in -12, c, 0.5?
0.5
Let t = -1252 + 1252.12. Which is the biggest value? (a) 1/3 (b) 0.4 (c) t (d) 0.5 (e) 3/26
d
Let f be 98/(-343)*(1 + (-2)/9). Let s = 133 + -129. What is the fourth smallest value in 1/11, -1, s, f?
s
Let g = 170/2629 + 28/239. Which is the fifth smallest value? (a) 3 (b) 1/5 (c) g (d) 1 (e) -740
a
Let p = -70/47 - -163/141. Which is the third biggest value? (a) -0.2 (b) 3/41 (c) p
c
Suppose 19*p = -60 + 155. Suppose -p*v - 12 = -l - 4, 5*l = 3*v - 4. Let w be 43/72 + (-6)/27. Which is the third biggest value? (a) v (b) w (c) -2/5
a
Let z = -14911 + 14919. What is the fourth biggest value in -3, 5, z, 0.9, 7?
0.9
Let s = 27 + -27.3. Let c(q) = -q**2 - 54*q + 3. Let h be c(0). What is the fourth biggest value in 0, -3/2, s, h?
-3/2
Suppose h - 5*g = -7, 5*g = 3*g + 2. Let u = 2.21 + 12.49. Let y = 10.7 - u. What is the second smallest value in 1/7, -0.1, h, y?
h
Let x = -0.57 + 0.23. Let p = x + -10.66. Let w be -1 - 5 - (18/12 + -8). Which is the biggest value? (a) p (b) w (c) 0.4
b
Let z be (((-720)/1610)/12)/((-2)/42). Which is the fourth smallest value? (a) -2/13 (b) z (c) -1/7 (d) 0.4 (e) 5
b
Let k = 26 + -27. Let s = -107 - -105.5. Let n = s + 1.3. Which is the second smallest value? (a) -2/15 (b) 0 (c) k (d) n
d
Let v = -4112 + 4112.2. What is the smallest value in v, 13, -1/4, 4?
-1/4
Let o = 7279 - 4019. Let p be (1 + -2)/(25/o). Let u = p + 131. What is the second smallest value in -4, -3/7, u, 0.5?
-3/7
Let z = 3 + -1. Let l = 119.6 - 1076.6. Let h = -959 - l. What is the biggest value in h, 3, 1/2, z?
3
Let v = 113.32 + -113.42. Which is the third smallest value? (a) 0.5 (b) v (c) -1818
a
Let r = 25841888/180829 + 20/16439. Let w(p) = -28*p + 3. Let i be w(-5). Let k = i - r. Which is the third smallest value? (a) 0 (b) k (c) 5
c
Let r = -146 - -78. Let k = r + 64. Suppose 4*m + 2*s = -0*s, 5*m + 5*s - 10 = 0. Which is the third smallest value? (a) m (b) 4 (c) k
b
Let m = -82 - -86.24. Let l = m - -0.86. Let f = 5 - l. What is the smallest value in f, 0.4, 0?
f
Let i = 50 + -46. Let p be 5/8 + -29 + 28. Which is the third biggest value? (a) 0.1 (b) i (c) p (d) 0.4
a
Let l = -50.74346 + -0.25654. Which is the third biggest value? (a) -4 (b) -1/4 (c) l
c
Suppose -5*o + 13 + 8 = -2*a, -o = 2*a + 3. Let c = 22 - 18. What is the second smallest value in 42, a, c?
c
Let m(l) be the second derivative of 11/12*l**4 - 1/20*l**5 + 15/2*l**2 - 11/6*l**3 + 0 - 7*l. Let t be m(10). What is the second biggest value in t, -5, 2/11?
2/11
Let q = 44893/29930 + 1/14965. Which is the smallest value? (a) -1/9 (b) -4.3 (c) q
b
Let x = -11875 - -11874.5. Let y = 1/51 - -91/561. What is the fourth biggest value in 4, 1, y, x?
x
Let q = 1.565 + -908.565. Let j = 908 + q. Which is the fourth biggest value? (a) -0.3 (b) 14 (c) -4 (d) j
c
Suppose 3*j + 8 = 4*k - 2*j, -k + 4*j = -2. Let z = -18 + 1. Let i = z + 16.8. What is the smallest value in 3/5, k, i?
i
Let m = 475 - 471. What is the biggest value in m, 13.1, -9?
13.1
Suppose -178 = -7*z - 150. Let h be (-640)/(-100) - z/10. Let k = -0.1 - 0.4. What is the fourth smallest value in k, 5, -1/3, h?
h
Let g = -3189 + 3188.8. What is the second smallest value in -36, g, -3/4, -1/6?
-3/4
Let g = 2.0632 + -2.0632. Which is the smallest value? (a) -0.1 (b) 3 (c) 0.061 (d) g
a
Let p = 517 + -910. Let d = 393.9 + p. Let k(o) = -o**3 - 2*o**2 + 2*o. Let z be k(-3). What is the fourth smallest value in d, z, 3/7, -2?
z
Let t = -6.1222 - -0.1222. Which is the smallest value? (a) 3 (b) 0.3 (c) t (d) 2/5
c
Let d = -0.0083 + 12.4083. Suppose -61 = -18*h + 29. Which is the biggest value? (a) -1 (b) h (c) d
c
Suppose 267*a - 393 - 1467 = -258. What is the second smallest value in -2, -2/11, a, 2, 14?
-2/11
Suppose 588*d - 291*d = 276*d - 84. What is the fifth smallest value in d, 0, 4, -1.7, 1/3?
4
Let g be (38 - 23)*(3 - 309/105). Let j = 0.3 + -0.1. What is the smallest value in -1, g, j?
-1
Let z = 193.34 + -193.44. Let i = 68 + -95. Which is the second biggest value? (a) 2 (b) z (c) i
b
Let n be (-1)/(-1) - (-12)/(-9). Let h be (-323)/(-663) - 6/18. What is the second smallest value in h, n, 4, -3?
n
Let h be 2292/2674 + (-124)/63. Which is the second smallest value? (a) 6/7 (b) h (c) 8
a
Let j be 3 + (-633)/12 + (1 - 7). Let l = j + 225/4. Let g be (-2 - -1)*(-4)/(-10). Which is the third biggest value? (a) 0 (b) g (c) -1/3 (d) l
c
Let s = 913.9 - 909.9. What is the biggest value in 1, 111, 2, 3, s?
111
Let f(r) be the second derivative of r**4/6 + 17*r**3/2 - 51*r**2/2 + 96*r. Let h be f(-27). Which is the smallest value? (a) 0.2 (b) h (c) 3
a
Let x = 40.76 + -43. Let t = x + 0.14. Let g = t + 1.7. Which is the biggest value? (a) g (b) -0.5 (c) -4 (d) -2
a
Let l = 2169/2 + -1082. What is the third biggest value in -19, l, | {
"pile_set_name": "DM Mathematics"
} |
ist the prime factors of 40271.
7, 11, 523
List the prime factors of 73714.
2, 36857
List the prime factors of 376.
2, 47
What are the prime factors of 1242?
2, 3, 23
List the prime factors of 727.
727
What are the prime factors of 4038?
2, 3, 673
What are the prime factors of 930?
2, 3, 5, 31
List the prime factors of 47947.
47947
List the prime factors of 47973.
3, 15991
What are the prime factors of 27776?
2, 7, 31
List the prime factors of 1290.
2, 3, 5, 43
List the prime factors of 5340.
2, 3, 5, 89
What are the prime factors of 1561?
7, 223
List the prime factors of 1626.
2, 3, 271
What are the prime factors of 24498?
2, 3, 1361
List the prime factors of 13059.
3, 1451
What are the prime factors of 11449?
107
What are the prime factors of 1273?
19, 67
List the prime factors of 39674.
2, 83, 239
List the prime factors of 334.
2, 167
List the prime factors of 55085.
5, 23, 479
What are the prime factors of 1387?
19, 73
List the prime factors of 373.
373
List the prime factors of 95921.
7, 71, 193
List the prime factors of 70538.
2, 13, 2713
What are the prime factors of 3589?
37, 97
List the prime factors of 174557.
173, 1009
What are the prime factors of 94490?
2, 5, 11, 859
List the prime factors of 74.
2, 37
List the prime factors of 33199.
33199
List the prime factors of 32446.
2, 16223
List the prime factors of 24748.
2, 23, 269
What are the prime factors of 891?
3, 11
List the prime factors of 13545.
3, 5, 7, 43
List the prime factors of 15469.
31, 499
What are the prime factors of 33130?
2, 5, 3313
What are the prime factors of 99387?
3, 409
What are the prime factors of 3431?
47, 73
List the prime factors of 93440.
2, 5, 73
What are the prime factors of 48431?
19, 2549
What are the prime factors of 1363?
29, 47
List the prime factors of 59694.
2, 3, 9949
List the prime factors of 99831.
3, 107, 311
What are the prime factors of 9043?
9043
List the prime factors of 13589.
107, 127
List the prime factors of 170.
2, 5, 17
What are the prime factors of 62679?
3, 17, 1229
List the prime factors of 6172.
2, 1543
What are the prime factors of 11750?
2, 5, 47
List the prime factors of 631.
631
What are the prime factors of 5369?
7, 13, 59
List the prime factors of 9113.
13, 701
List the prime factors of 18780.
2, 3, 5, 313
What are the prime factors of 3099?
3, 1033
List the prime factors of 4211.
4211
What are the prime factors of 61455?
3, 5, 17, 241
What are the prime factors of 908?
2, 227
What are the prime factors of 64741?
101, 641
List the prime factors of 111351.
3, 37117
List the prime factors of 1780.
2, 5, 89
What are the prime factors of 5?
5
What are the prime factors of 22395?
3, 5, 1493
List the prime factors of 16898.
2, 7, 17, 71
What are the prime factors of 163529?
43, 3803
List the prime factors of 5455.
5, 1091
List the prime factors of 91623.
3, 7, 4363
What are the prime factors of 217?
7, 31
What are the prime factors of 6670?
2, 5, 23, 29
List the prime factors of 6057.
3, 673
List the prime factors of 2759.
31, 89
List the prime factors of 9634.
2, 4817
What are the prime factors of 1393?
7, 199
List the prime factors of 25899.
3, 89, 97
List the prime factors of 3200.
2, 5
What are the prime factors of 56960?
2, 5, 89
List the prime factors of 2023.
7, 17
List the prime factors of 21336.
2, 3, 7, 127
What are the prime factors of 38017?
7, 5431
List the prime factors of 1465.
5, 293
What are the prime factors of 7425?
3, 5, 11
What are the prime factors of 797?
797
What are the prime factors of 119532?
2, 3, 7, 1423
List the prime factors of 5160.
2, 3, 5, 43
What are the prime factors of 3382?
2, 19, 89
List the prime factors of 4749.
3, 1583
What are the prime factors of 309?
3, 103
What are the prime factors of 23261?
7, 3323
List the prime factors of 1156.
2, 17
What are the prime factors of 5308?
2, 1327
List the prime factors of 7367.
53, 139
List the prime factors of 1552.
2, 97
List the prime factors of 1553.
1553
What are the prime factors of 1226?
2, 613
List the prime factors of 19378.
2, 9689
List the prime factors of 11996.
2, 2999
What are the prime factors of 70731?
3, 29, 271
What are the prime factors of 3990?
2, 3, 5, 7, 19
List the prime factors of 467.
467
List the prime factors of 1451.
1451
List the prime factors of 52516.
2, 19, 691
List the prime factors of 56795.
5, 37, 307
List the prime factors of 13687.
13687
List the prime factors of 124.
2, 31
What are the prime factors of 156?
2, 3, 13
What are the prime factors of 3235?
5, 647
What are the prime factors of 1424?
2, 89
What are the prime factors of 36819?
3, 4091
What are the prime factors of 5544?
2, 3, 7, 11
What are the prime factors of 9770?
2, 5, 977
List the prime factors of 2439.
3, 271
What are the prime factors of 46582?
2, 23291
List the prime factors of 70261.
17, 4133
What are the prime factors of 11746?
2, 7, 839
List the prime factors of 3097.
19, 163
What are the prime factors of 5512?
2, 13, 53
List the prime factors of 15591.
3, 5197
List the prime factors of 109501.
7, 15643
List the prime factors of 1747.
1747
What are the prime factors of 886?
2, 443
What are the prime factors of 1328?
2, 83
What are the prime factors of 6123?
3, 13, 157
List the prime factors of 10958.
2, 5479
List the prime factors of 1644.
2, 3, 137
What are the prime factors of 101541?
3, 11, 17, 181
What are the prime factors of 3970?
2, 5, 397
List the prime factors of 12456.
2, 3, 173
What are the prime factors of 1080?
2, 3, 5
What are the prime factors of 3032?
2, 379
What are the prime factors of 4105?
5, 821
What are the prime factors of 1067?
11, 97
What are the prime factors of 382?
2, 191
What are the prime factors of 119296?
2, 233
List the prime factors of 4734.
2, 3, 263
What are the prime factors of 1116?
2, 3, 31
List the prime factors of 843.
3, 281
What are the prime factors of 13007?
13007
List the prime factors of 2142.
2, 3, 7, 17
List the prime factors of 3595.
5, 719
List the prime factors of 3097.
19, 163
What are the prime factors of 41996?
2, 10499
What are the prime factors of 33676?
2, 8419
What are the prime factors of 1772?
2, 443
What are the prime factors of 2270?
2, 5, 227
List the prime factors of 2933.
7, 419
What are the prime factors of 95586?
2, 3, 89, 179
What are the prime factors of 1521?
3, 13
What are the prime factors of 1035?
3, 5, 23
List the prime factors of 4247.
31, 137
List the prime factors of 95717.
95717
What are the prime factors of 9624?
2, 3, 401
What are the prime factors of 9337?
9337
What are the prime factors of 1358?
2, 7, 97
List the prime factors of 36455.
5, 23, 317
What are the prime factors of 3017?
7, 431
What are the prime factors of 3063?
3, 1021
What are the prime factors of 1534?
2, 13, 59
What are the prime factors of 20725?
5, 829
What are the prime factors of 17723?
37, 479
List the prime factors of 3138.
2, 3, 523
List the prime factors of 4957.
4957
What are the prime factors of 114034?
2, 23, 37, 67
What are the prime factors of 3013?
23, 131
What are the prime factors of 1481?
1481
List the prime factors of 33821.
31, 1091
What are the prime factors of 2097?
3, 233
List the prime factors of 2593.
2593
What are the prime factors of 261?
3, 29
What are the prime factors of 4453?
61, 73
What are the prime factors of 1949?
1949
List the prime factors of 12984.
2, 3, 541
List the prime factors of 1334.
2, 23, 29
What are the prime factors of 2468?
2, 617
What are the prime factors of 13093?
13093
List the prime factors of 8353.
8353
What are the prime factors of 75710?
2, 5, 67, 113
List the prime factors of 20995.
5, 13, 17, 19
List the prime factors of 1408.
2, 11
What are the prime factors of 16337?
17, 31
List the prime factors of 2119.
13, 163
List the prime factors of 31406.
2, 41, 383
List the prime factors of 1432.
2, 179
What are the prime factors of 1809?
3, 67
What are the prime factors of 96?
2, 3
What are the prime factors of 673?
673
List the prime factors of 72558.
2, 3, 29, 139
What are the prime factors of 124060?
2, 5, 6203
List the prime factors of 3175.
5, 127
What are the prime factors of 424?
2, 53
List the prime factors of 219.
3, 73
List the prime factors of 61678.
2, 30839
List the prime factors of 467.
467
List the prime factors of 25945.
5 | {
"pile_set_name": "DM Mathematics"
} |
ive of -3/7*d**2 - 7 + 4/7*d + 2/21*d**3. Factor b(o).
2*(o - 2)*(o - 1)/7
Let z(a) be the second derivative of 3/56*a**7 - 1/12*a**4 + 0 + 21*a + 3/8*a**3 + 1/60*a**6 + 1/4*a**2 - 9/40*a**5. Suppose z(h) = 0. What is h?
-1, -2/9, 1
Suppose -5 = -2*y - 1. Suppose 5*v = -3*j - y, -v - 3*j + 4*j = -6. Solve 7*t**2 - 2*t**4 - 3*t**2 + 4*t**3 - 2 - 2*t**5 - 2*t + 0*t**v = 0 for t.
-1, 1
Let t be ((-10)/10)/(1/(-4)). Let d(x) be the first derivative of 1/6*x**3 - 2 - 1/8*x**t - 1/2*x + 1/4*x**2. Factor d(g).
-(g - 1)**2*(g + 1)/2
Find a, given that -2*a**4 + 7*a**4 + 0*a**4 - 2*a**3 - 4*a**4 - 3*a**2 = 0.
-1, 0, 3
Let r be (-6)/(-8)*(6 - 2). Suppose 0 = 2*t - 1 - r. Factor h + 45*h**2 - 47*h**t - 2*h**3 - h.
-2*h**2*(h + 1)
Factor 3/8*s**3 + 63*s - 75/8*s**2 - 54.
3*(s - 12)**2*(s - 1)/8
Let i(s) be the second derivative of -s**4/9 - 2*s**3/3 + 20*s**2/3 - 6*s - 4. Find k, given that i(k) = 0.
-5, 2
Let k = 93 - 89. Determine f, given that -5*f**3 - 35*f**2 + 15*f**5 + 32*f**k - 10*f + 13*f**4 - 10*f**4 = 0.
-2, -1, -1/3, 0, 1
Let h(r) be the first derivative of -1/42*r**4 + 1/105*r**5 + 0*r**3 - 5/2*r**2 + 0*r - 6. Let j(l) be the second derivative of h(l). Factor j(d).
4*d*(d - 1)/7
Let c = 40 + -37. Factor 3*r**4 - 4*r**3 - 2*r**c + 3*r**3.
3*r**3*(r - 1)
Let i(u) = -u**3 + 2*u**2 - 3*u - 1. Let c(v) = -12*v**3 - 96*v**2 + 1143*v + 2889. Let b(m) = c(m) - 15*i(m). Determine r so that b(r) = 0.
-2, 22
Let j(w) = 2*w**2 + 12*w - 41. Let s be j(5). Suppose 74*v = s*v + 20. Let 5/2*q**v + 4*q + 15*q**2 + 0 + 27/2*q**3 = 0. Calculate q.
-4, -1, -2/5, 0
Let v(d) be the third derivative of d**7/1050 - d**6/300 - d**5/300 + d**4/60 + 362*d**2. Factor v(o).
o*(o - 2)*(o - 1)*(o + 1)/5
Let v = 133/1420 - -4/71. Let c(p) be the second derivative of 0 - 2/7*p**7 - 4*p + 0*p**4 + 0*p**3 - v*p**5 + 0*p**2 - 1/2*p**6. Factor c(i).
-3*i**3*(i + 1)*(4*i + 1)
Let a be ((175/(-10))/7)/((-1)/2). What is o in 3*o**4 - 338*o**3 - o**4 + 336*o**3 + 5*o**a + o**4 = 0?
-1, 0, 2/5
Let a(w) be the first derivative of w**4/6 - 34*w**3/9 + 80*w**2/3 - 128*w/3 + 130. Factor a(k).
2*(k - 8)**2*(k - 1)/3
Factor 11*r**2 + 3*r**4 + 54*r - 9*r**3 + 19*r**2 - 18*r - 42*r**2.
3*r*(r - 3)*(r - 2)*(r + 2)
Let n(h) = -3*h**3 - 144*h**2 - 189*h. Let q(z) = 78*z + 3*z**2 + 38*z**2 + z**3 - 24*z. Let o(r) = 5*n(r) + 18*q(r). Solve o(k) = 0.
-3, 0
Suppose 5*t = -5*w - 10, -2*t = -w + t + 14. What is n in -3*n**4 + 0*n**2 + n**3 + 2*n**4 + 0*n**w = 0?
0, 1
Let w(i) = -i**3 + 5. Let h be w(0). Let d(r) = -2*r + 2*r**2 + 3*r + h - r - r. Let f(c) = -c + 1. Let t(b) = -2*d(b) + 10*f(b). Determine p so that t(p) = 0.
-2, 0
Let x(k) be the third derivative of 5/2*k**3 - 1/20*k**6 + 0 + 16*k**2 + 11/70*k**7 - 1/56*k**8 + 0*k + 1/2*k**4 - 4/5*k**5. What is o in x(o) = 0?
-1, -1/2, 1, 5
Let b(i) be the second derivative of i**5/90 - i**4/54 - 5*i**3/27 - i**2/3 - 7*i + 4. Find h such that b(h) = 0.
-1, 3
Let p(x) be the second derivative of x**4/12 - 29*x**3/9 - 20*x**2/3 - 30*x + 7. Factor p(g).
(g - 20)*(3*g + 2)/3
Suppose -14/15*o + 14/15*o**3 + 6/5*o**2 - 4/3 + 2/15*o**4 = 0. What is o?
-5, -2, -1, 1
Let s(i) = 2*i**2 - 293*i + 2606. Let r be s(137). Factor 8/9*q**r + 4/9*q**2 - 4/9*q + 0.
4*q*(q + 1)*(2*q - 1)/9
Let m(u) = -u**3 + 2*u**2 + 2*u + 4. Let x(g) = g**2 - 9*g + 6. Let y be x(8). Let t be m(y). Factor -4 + 8*l**2 - t*l + 0 - 12 + 4*l**2.
4*(l - 2)*(3*l + 2)
What is k in 76*k + 103399*k**2 + 27 + 9 + 42 - 103401*k**2 = 0?
-1, 39
Let j(a) be the first derivative of 6*a**4/7 + 66*a**3/7 + 108*a**2/7 + 6*a + 71. Factor j(n).
6*(n + 1)*(n + 7)*(4*n + 1)/7
Find f, given that 0 - 5/2*f**3 + 0*f**2 + 10*f = 0.
-2, 0, 2
Factor -2/9*h**3 + 0 - 2/9*h - 4/9*h**2.
-2*h*(h + 1)**2/9
Let m be (-5)/(-15)*0 + -4. Let b(g) = -2*g**3 + 7*g**2 - 7*g + 2. Let l(h) = 0 + 9*h - 10*h - 1 - 3*h**2 + h**3 + 4*h. Let d(y) = m*b(y) - 9*l(y). Factor d(n).
-(n - 1)*(n + 1)**2
Let a(x) = x**2 - 14*x + 26. Suppose b - 8 - 4 = 0. Let u be a(b). Solve 0*k + 0 - 1/6*k**u + 1/3*k**3 - 1/6*k**4 = 0 for k.
0, 1
Suppose 0 = -k - 4*b - 8 - 2, -2*k = 3*b. Let m(t) be the first derivative of -2/27*t**3 - 1/18*t**4 + k + 0*t + 2/9*t**2. Factor m(y).
-2*y*(y - 1)*(y + 2)/9
Let n = -1 + 4. Factor -n + 10*t + 5*t**3 + 4*t**2 + 21*t**2 - 10*t**4 + 3.
-5*t*(t - 2)*(t + 1)*(2*t + 1)
Let c(d) be the second derivative of -d**7/14 + 3*d**6/10 - 3*d**5/10 - 40*d. Factor c(j).
-3*j**3*(j - 2)*(j - 1)
Find l such that 169*l + 8*l**2 + 12*l**3 - 185*l - 3*l**5 + l**5 - 2*l**4 = 0.
-2, 0, 1, 2
Let w(x) = -10*x**3 + 19*x**2 - x + 6. Suppose -2*v - 5*b = -22, -3*v + 1 - 2 = -b. Let t(h) = h**3 + h - 1. Let l(i) = v*w(i) + 6*t(i). Factor l(p).
-p*(p - 5)*(4*p + 1)
Let -69*q**2 + 2*q**3 - 12*q - 68*q**2 - 65*q**2 + 265*q**2 - 65*q**2 = 0. Calculate q.
-2, 0, 3
Let k = -55 + 60. Let d(z) be the third derivative of 1/360*z**6 + 0*z + 0*z**4 + 5*z**2 + 1/60*z**k + 0 + 0*z**3. Solve d(v) = 0.
-3, 0
Let d(m) be the first derivative of -m**4/20 + 14*m**3/15 + 17*m**2/10 - 6*m - 138. Find i, given that d(i) = 0.
-2, 1, 15
Let g(d) be the first derivative of 16/5*d**5 - 3 + 24*d + 0*d**4 - 2*d**2 - 40/3*d**3 + 2/3*d**6. Let g(i) = 0. Calculate i.
-3, -2, -1, 1
Let y(w) be the first derivative of 5*w**5/78 - 5*w**4/39 + 4*w**3/39 - 9*w**2 - 14. Let r(l) be the second derivative of y(l). Factor r(q).
2*(5*q - 2)**2/13
Let p(z) be the third derivative of -z**9/6048 - z**8/1120 - z**7/560 - z**6/720 - 2*z**3 - 14*z**2. Let d(b) be the first derivative of p(b). Factor d(t).
-t**2*(t + 1)**3/2
Let z(f) be the first derivative of -128/5*f - 8*f**4 - 32*f**2 - 64/3*f**3 - 8/5*f**5 - 2 - 2/15*f**6. Factor z(l).
-4*(l + 2)**5/5
Let g(q) be the second derivative of q**4/36 - 5*q**3/3 + 171*q. Factor g(j).
j*(j - 30)/3
Let z = 36 + -33. Factor 4*y**5 + 16*y**5 - 6*y**2 + 85*y**2 - 112*y**4 + 132*y**z - 7*y**2.
4*y**2*(y - 3)**2*(5*y + 2)
Let c(n) = n**2 + 3*n + 12. Let r(h) be the second derivative of h**3/6 - h**2/2 - 4*h. Let q(f) = c(f) + 3*r(f). Suppose q(d) = 0. Calculate d.
-3
Let k(q) = -11*q + 47. Let a be k(4). Factor -6/5*m - 12/5*m**3 - 3/5*m**4 - a*m**2 + 0.
-3*m*(m + 1)**2*(m + 2)/5
Let g = -1565 + 1565. Let t(b) be the second derivative of 0 - 8/105*b**6 + 0*b**2 + 5*b - 2/147*b**7 - 2/21*b**4 + g*b**3 - 1/7*b**5. Factor t(h).
-4*h**2*(h + 1)**2*(h + 2)/7
Let p be 8*(-5)/(-100) + 6/(-15). Let i(m) be the second derivative of 2/21*m**7 + 0 + 0*m**3 - 7*m - 1/15*m**6 + p*m**2 + 0*m**4 + 1/80*m**5. Factor i(c).
c**3*(4*c - 1)**2/4
Factor 241*z**2 - 240*z**2 + 8 + 6*z + 10 - 9.
(z + 3)**2
Let v(u) be the second derivative of u**6/30 + 27*u**5/10 + 913*u**4/12 + 828*u**3 + 4232*u**2 + 586*u. Find f, given that v(f) = 0.
-23, -4
Let h(p) be the third derivative of -p**8/336 + 13*p**7/210 + p**6/40 - 37*p**5/60 - 13*p**4/12 + 263*p**2. Factor h(z).
-z*(z - 13)*(z - 2)*(z + 1)**2
Let b = 19 - 12. Let c be ((-28)/15 + 2)/(b/70). What is z in c + 8/3*z - 5/3*z**2 = 0?
-2/5, 2
Suppose 19*m - 5 = 71. Let g(u) be the third derivative of 0 + 1/135*u**5 + 1/540*u**6 + 0*u - 1/36*u**m + 0*u**3 + 3*u**2. Find w such that g(w) = 0.
-3, 0, 1
Let u(r) = 7 + 0 + 4*r**2 - 14 - 2*r**3 + r**3 + 4*r. Let c(k) = k**3 - 1. Let o(a) = 3*c(a) - u(a). Factor o(t).
4*(t - 1)**2*(t + 1)
Let q = -689/60 + 47/4. Let h(w) be the first derivative of q*w**3 + 6/5*w**2 + 4 - 16/5*w. Solve h(j) = 0 for j.
-4, 1
Suppose 0 = 4*g - 3*r - 17, -5*g = -0*r - 2*r - 30. Suppose -g - 8 = -4*s. Determine x, given that 6/7*x**3 + 2/7*x**2 - 6/7*x - 4/7 + 2/7*x**s = 0.
-2, -1, 1
Let q(j) = j**4 + 5*j**3 + 3*j**2 + 25*j + 2. Let g(m) = m**3 + m**2 + 4*m. Let d(f) = -6*g(f) + q(f). Factor d(l).
(l - 2)*(l - 1)*(l + 1)**2
Let p(k) be the second derivative of 1/4*k**4 + 0 - 1/6*k**3 + 10*k + 3/56*k**7 - 1/16*k**5 - 1/10*k**6 + 0*k**2. Let p(m) = 0. What is m?
-1, 0, 2/3, 1
Let q = 590 + -586. Let k(f) be the second derivative of -1/105*f**7 + 1/50*f**5 + 0 - 1/30*f**q + 1/75*f**6 - f + 0*f**2 + 0*f**3. Factor k(w).
-2*w**2*(w - 1)**2*(w + 1)/5
Suppose -3*v = -2*v - 2. Suppose v*o - 10 = -3*o. Determine a so that -1/3*a**o + 0*a + 0 + 1/3*a**3 = 0.
0, 1
Suppose -4*g - 70 = g - 2*t, -5*t + 61 = -3*g. Let f be (-314)/g + (20/6 - 4). Suppose -6 - f*n**3 + 21/2*n**2 - 9/2*n**4 + 12*n + 27/2*n**5 = 0. C | {
"pile_set_name": "DM Mathematics"
} |
e 0 = 366*y + 289 - 1021. What is the fourth biggest value in y, -5, -0.01, d?
-5
Suppose -10*w + 6*w = 24. Let y = w - -74. Let r = y + -71. Which is the second biggest value? (a) -4 (b) r (c) 2/9
b
Let o be ((-78)/8)/((-6)/8). Suppose -12*f + o + 23 = 0. Which is the second smallest value? (a) -4 (b) 7 (c) f (d) -5
a
Let y = -14247 + 14244. Let r = -27 + 28. Which is the biggest value? (a) r (b) 1/30 (c) y
a
Suppose 23*m - 5658 = 33*m + 31*m. What is the second biggest value in 0.5, 2/25, -3, m?
2/25
Suppose o - 9*l - 221 = -246, l - 2 = 0. Let n = 0.07 + -0.13. Let i = n + -3.94. Which is the third smallest value? (a) 0.3 (b) o (c) i
a
Suppose 43*h = -209 - 49. Let z(a) = a + a**2 - 5*a + 2*a - 5 - 2*a. Let t be z(5). What is the third biggest value in t, -4, -0.1, h?
-4
Let q = 0.1 - -0.4. Let l = 0.71 - -2.29. Let g be (-4)/(-5) - (-7 + (-849)/(-105)). Which is the biggest value? (a) q (b) g (c) 10 (d) l
c
Let m = 20.78 - 20.7. Let b = -0.32 - m. What is the third smallest value in -2, b, -3, 0.7?
b
Let g = -39 - -45.8. Let s = -1.8 + g. What is the smallest value in s, 0.4, -11, 0.3?
-11
Let o = 120 - 119.7. Let r = -7 - -17. Let m = r + -31/3. What is the third smallest value in 0.4, 2/3, m, o?
0.4
Let d = -0.7178 - -0.6178. What is the second biggest value in d, 0.1, 6/7, -0.3, -2?
0.1
Let a = 3.512 - 13.512. What is the third smallest value in a, 4, 2/11?
4
Let z = -15073 + 15073.3. Which is the second biggest value? (a) -1 (b) -4/7 (c) 1 (d) z (e) -13
d
Let i = -37 + 70. Let z = i + -33. Let t be (1 - z) + 0 + 2 - -1. Which is the third smallest value? (a) 0.3 (b) t (c) 5 (d) 0.1
b
Let g = -339/2813 - -5/97. Which is the fifth biggest value? (a) g (b) 5 (c) 2 (d) 2/3 (e) -1
e
Let m = -6.054 - -6.58. Let o = m - 0.546. Let z be 1/(-1 + -1)*1. What is the second smallest value in 0.2, z, o?
o
Let x = -112.7 + 118. Let o = 5 - x. Suppose -487*h = -506*h + 57. Which is the third smallest value? (a) -1 (b) h (c) o (d) -14
c
Let k be 3/(-2) - (-1960)/1470. Let i = -5 - -4.92. Let t = i - -1.08. What is the second biggest value in t, k, 2?
t
Let f(k) = -k**3 + 12*k**2 - 15*k + 41. Let r be f(11). Which is the second biggest value? (a) 2/29 (b) 19 (c) r
a
Let k = 14643 + -219644/15. What is the second biggest value in -3/5, k, 3?
k
Let r = 1517.4 + -1517.4. Which is the second smallest value? (a) -45/7 (b) r (c) -1.3
c
Let t = -396 - -392.34. Let q = t - -2.66. What is the biggest value in 0.3, q, -1.5, 5?
5
Let f = -0.01 - -52.01. Let m = f + -25. Let k = -28 + m. What is the biggest value in -1/7, -2/13, k?
-1/7
Let l be -5 + 4 + 3 + -3. Let k be l/(7 - 66/9). What is the biggest value in -0.5, k, -36?
k
Let v = -6986 - -6991. Which is the smallest value? (a) 0.1 (b) -0.082 (c) v (d) 2
b
Let z be -3*2/(-180) + (-2)/12. Let j = 61/105 - -3/35. Let u = 3/256 - -247/768. Which is the third smallest value? (a) z (b) -5 (c) u (d) j
c
Suppose -i - 11 = -9, 0 = 2*r - 5*i - 22. Suppose 2174*a - 2170*a + 8 = 0. What is the second biggest value in -1, r, a?
-1
Let m = 5.57 + -5.17. What is the second smallest value in 0, 2, 27, -4, m?
0
Suppose 2 = 4*q - 18, 4*c - 3*q + 39 = 0. What is the biggest value in -3, -0.05, c, 2/3, 0.4?
2/3
Let x = -22/15 + 83/60. Which is the smallest value? (a) -0.5 (b) x (c) 1.5
a
Let b = -3.89 - -4.09. Let r = -0.071 - -4.071. What is the third smallest value in -1/2, r, 2, b?
2
Let u be -1*((-15)/(-18))/5. Let c be (-18812)/(-78) - 11/((-286)/4). Let o = -240 + c. What is the third biggest value in u, o, -2/3?
-2/3
Suppose -127 = 2*n + u, n = 6*n - 3*u + 312. Let w be ((-1)/(-3))/(7/n). Let a = 24.096 - 24.096. What is the biggest value in a, 2/17, w?
2/17
Let n(y) = y**2 - y + 6. Let m be n(0). Let o be 23 - ((-9)/3 + m). Let l be (-4)/o - 4 - -4. What is the third smallest value in -0.5, 0, l?
0
Let g = -4/51 + 83/408. Suppose -17*q + 107 = -97. Which is the smallest value? (a) g (b) q (c) 6
a
Let q = 0.57 + -3.57. Which is the third biggest value? (a) 0.5 (b) -24 (c) 1/4 (d) q (e) 22
c
Suppose 12 = 12*i - 6*i. Let w = i + -7/2. What is the third smallest value in -6, w, 1/3?
1/3
Let f = -87 - -67. Let u = 0 - 0.1. Let h(m) = -m**3 + 42*m**2 - 218*m + 73. Let q be h(36). What is the biggest value in q, f, u?
q
Let s = -27.01 + 32.01. Which is the third biggest value? (a) 38 (b) -3 (c) s (d) -2
d
Let p be 456/126 + (-8)/28. Let o = 5.13291 - 0.13291. What is the fourth smallest value in -3, p, -7, o?
o
Let f = 5.2 + -5. Let y be (49/14)/(3/6). Suppose y*s + 57 - 29 = 0. Which is the third smallest value? (a) -6 (b) f (c) s
b
Suppose -5*r + 5*z = 15, -z + 12 = 2*r + 3*z. Let s be ((-6)/(-1 + r) - 5)*-4. What is the biggest value in s, -10, -2/7, -5?
-2/7
Suppose 4*y - r = -52, 4*y + 2*r + 65 = -y. Let u be (1/y)/(-3*(-5)/(-30)). Let l = -26/5 + 27/5. What is the third biggest value in u, -1, l?
-1
Suppose 0 = -1956*l + 1955*l + 2*u + 14, -u - 14 = -4*l. Which is the fifth biggest value? (a) -5 (b) 48/11 (c) 5 (d) l (e) -2
a
Suppose -42*v - 81*v + 693 = -24*v. What is the third biggest value in -0.1, v, -2, -0.2, -1/17?
-0.1
Let p(w) = -10*w**3 + 2963*w**2 - 889*w + 297. Let t be p(296). Let r = 11 + -17. Let j = r + 6.3. What is the fourth biggest value in 2/21, j, t, 0?
0
Let n = -34.95 - -34.95. Which is the second smallest value? (a) 7 (b) n (c) 2/7 (d) -7
b
Let v = 235 - 5. Let l = -1144/5 + v. Let x = -19365 + 19362. Which is the biggest value? (a) -3/2 (b) l (c) x
b
Let w = -604.105 + 604. Let p = w + 0.038. Which is the third smallest value? (a) p (b) -0.5 (c) 1
c
Let w(l) = 5*l - 47 + l - 14*l - 5*l. Let v be w(-4). What is the second biggest value in v, -1/3, 1?
1
Let f = -0.28 + 157.28. Let s = f - 157.3. Let u = -0.05 + 4.05. Which is the third biggest value? (a) u (b) -5/3 (c) s
b
Let s(y) = -3*y**3 + 68*y**2 - 45*y + 28. Let p be s(22). Which is the third smallest value? (a) 8 (b) 2 (c) p
a
Let c(q) = q**3 - 18*q**2 + 32*q + 6. Let n be c(16). Let p be -4*1/(-5)*n/8. What is the second smallest value in -0.9, p, -0.5, 2/9?
-0.5
Let l = 4.135 + -6.135. Which is the smallest value? (a) 0.2163 (b) -1 (c) l
c
Let p = -136 - -140. Let j = -0.829 - 8.951. Let t = j - 0.22. Which is the third smallest value? (a) p (b) t (c) -1
a
Let l = -424 + 2124/5. Let d = -7 - -11. Which is the smallest value? (a) d (b) l (c) 1/3
c
Let j = 113279/6 + -18824. Let h = -56 + j. Which is the third biggest value? (a) 1 (b) -2/11 (c) h (d) -4
b
Let i = 3.649 - 3.449. What is the smallest value in i, -3, 5, 4?
-3
Let n be (-1)/252*-164 + 8. Let s = -59/7 + n. What is the third biggest value in -5/3, 4, s, 2?
s
Suppose -6*w - 5*d = 30, -3*w + d = 1122 - 1128. What is the smallest value in -0.3, 0.1, 5/2, w, 1.4?
-0.3
Suppose -470*o + 12 = 12. What is the third biggest value in 6/11, 1/6, o, -5, -2?
o
Let n be 1 + -1 + 2/(-6). Let s be 55450/(-23289) - 2/6*-5. Which is the fourth smallest value? (a) s (b) 2/5 (c) n (d) 0
b
Let f = -0.0535 - -4.4585. Let i = 0.405 - f. Which is the fourth biggest value? (a) i (b) -2/7 (c) 4/5 (d) -16
d
Let w be 2/5 + 632/(-5). Let s = 39588 + -276235/7. Let m = s + w. Which is the smallest value? (a) m (b) -0.4 (c) -8/13
c
Let g = -1 + 1.01. Let t = 1945/2769 + -33/923. What is the fourth biggest value in 0.5, 1, t, g?
g
Let i = -2.9762 + 0.9762. Which is the second biggest value? (a) 1 (b) -0.2 (c) i (d) 0.92
d
Let m be (-4)/(-3)*3/(-14). Let p = 65.4 - 69. Let t = p - -3. Which is the second biggest value? (a) m (b) -1/3 (c) t
b
Let p = -6817/2 - -3410. Which is the third smallest value? (a) -36 (b) p (c) 0
b
Let u = -10 + 11. Let l = -0.201 - -133.201. Let i = l + -132.6. Which is the second biggest value? (a) u (b) i (c) -2/5 (d) -11
b
Let k = -114.3 + 110.8. Which is the biggest value? (a) 3 (b) 0.08 (c) 4 (d) k
c
Let k be (4 - 44/12) + -1 + 1. Let u = 779.7 - 779. Which is the third smallest value? (a) -4/7 (b) u (c) k
b
Suppose 0 = -4105*i + 4082*i - 69. Which is the second smallest value? (a) i (b) 69 (c) -4
a
Let f = 3701 - 3700.8. What is the third smallest value in -14/3, 0.4, f, 5?
0.4
Let i = 78962/19 - 4156. Let s = -1.1 - 3.9. Which is the third sm | {
"pile_set_name": "DM Mathematics"
} |
g)).
-275*g**2
Let l(v) = -3*v**2. Let i(n) = 164*n**2 + n - 1. Let k(c) = -39*c**2 + 2*c + 1. Let f(g) = i(g) - k(g). Give f(l(u)).
1827*u**4 + 3*u**2 - 2
Let x(s) = -2*s. Let f(p) = -4 + 0 - 75*p - 59*p + 1. Determine f(x(j)).
268*j - 3
Let k(t) = -138*t. Let s(c) = 1390*c**2 - 10*c. What is s(k(q))?
26471160*q**2 + 1380*q
Let n(y) = -274*y. Let l(g) = -83*g - 27. Let v(w) = -37*w - 12. Let t(c) = -4*l(c) + 9*v(c). Determine t(n(p)).
274*p
Let l(c) be the third derivative of 25*c**4/24 + c**2 - 2. Let g(k) = 147*k. Let r(x) = -6*g(x) + 35*l(x). Let s(f) = -23*f. Determine s(r(v)).
161*v
Let p(u) = 68*u. Let v(i) = 34206*i. Give v(p(q)).
2326008*q
Let f(i) = -2491989*i. Let b(t) = 6*t + 1. Determine f(b(u)).
-14951934*u - 2491989
Let l(k) = -41205*k. Let y(r) = r**2 - 100. Determine y(l(p)).
1697852025*p**2 - 100
Let v(h) = 14*h. Let p(a) = -9*a + 111. Let l(x) = -9*x + 134. Let j(q) = 5*l(q) - 6*p(q). Give v(j(t)).
126*t + 56
Let l(o) = -7146*o. Let s(z) = 811*z. What is l(s(u))?
-5795406*u
Suppose 0 = 10*g - 4*g + 24. Let d be (-19)/g - 2/(-8). Let n(s) = 2*s + 3*s + 6*s - d*s. Let b(m) = 4*m. What is n(b(c))?
24*c
Suppose -x + 5*c = -1 - 9, 0 = 5*x - 3*c - 28. Let p(y) = -4 - 3 - x + 17 - 2*y**2 - 4. Let d(g) = 5*g. Determine d(p(k)).
-10*k**2 + 5
Let o(q) = -2*q**2 - 2*q. Let z(s) = -2*s - 2. Let h(y) = 2*y + 3. Let m(d) = -2*h(d) - 3*z(d). Let x(f) = f. Let c(k) = -3*m(k) + 5*x(k). Determine o(c(w)).
-2*w**2 + 2*w
Let g(a) = -474*a + 262*a - 988*a. Let d(o) = 4*o. What is d(g(x))?
-4800*x
Let m(s) = -38*s. Let a(t) be the third derivative of 0 - 1/8*t**4 + 0*t**3 - 2*t - 4*t**2. Calculate a(m(g)).
114*g
Let v(l) = -1799*l. Let f(n) = 4829*n - 9. What is v(f(y))?
-8687371*y + 16191
Let u(g) = -g - 54. Let r(h) = 200*h**2 - h + 69. Calculate u(r(x)).
-200*x**2 + x - 123
Let g(x) = 313*x**2 + 307*x**2 + 309*x**2 - 926*x**2. Let d(t) = -601*t. What is g(d(q))?
1083603*q**2
Let q(h) = 12*h + 14*h - 23*h. Suppose 3*k + y = -2*k + 18, 0 = 4*k + 4*y - 24. Let v(m) = 3*m - k*m - 16*m - 13*m. Give v(q(u)).
-87*u
Let t(d) = -d**2 + 92*d - 205*d + 108*d. Let w(p) = -2*p. Let a(g) = 2*t(g) - 5*w(g). Let y(k) = -78*k**2 - 1. What is y(a(u))?
-312*u**4 - 1
Let w(p) = -p - 65. Let g(k) = k + 39. Let m(q) = 5*g(q) + 3*w(q). Let i(t) = 7*t + 3 - 4 + 1. Determine m(i(o)).
14*o
Let j(i) = -2*i + 107. Suppose 0 = 6*x - 4*x - x. Let y(k) = x*k - 5*k + 6*k + 0*k. Determine j(y(r)).
-2*r + 107
Let l(y) = -y**3 + 7*y**2 - 7*y + 5. Let n be l(7). Let j = n - -55. Let g(q) = 0*q + 6*q - j*q + 7*q. Let w(x) = -5*x. What is w(g(h))?
-10*h
Let s(v) = 18166*v + 2 + 4 - 18162*v. Let j(x) = -3*x**2. What is j(s(b))?
-48*b**2 - 144*b - 108
Let d(k) = -10910*k. Let j(o) be the third derivative of o**5/60 - 4*o**2 + 2*o - 2. Calculate j(d(r)).
119028100*r**2
Let r(x) = 6*x**2. Let b = -93 - -301. Let z(o) = -419*o + b*o + 216*o. What is z(r(n))?
30*n**2
Let s(v) be the first derivative of 35*v**3 - 7*v + 6. Let o(c) = -2*c. What is o(s(q))?
-210*q**2 + 14
Let v(u) = -u. Let q(m) = 513*m**2 + 6*m - m + 4*m - 534*m**2 + 11*m. Determine v(q(i)).
21*i**2 - 20*i
Let s(y) = 11*y**2. Let d = -5025/2 - -2513. Let i(t) be the first derivative of 21 + 0*t + d*t**2. Give i(s(o)).
11*o**2
Let h(v) = -v - 3. Let s(n) = n + 4. Let z(x) = 4*h(x) + 3*s(x). Let y(c) = 83 + 83 - 2*c + 101 - 267 + 3*c**2. Calculate y(z(w)).
3*w**2 + 2*w
Let x = 3 - -1. Let a = -189 - -186. Let m(r) = -13*r - 4. Let h(z) = -14*z - 3. Let g(v) = a*m(v) + x*h(v). Let f(n) = 3*n. Determine f(g(w)).
-51*w
Let c(k) = 188*k**2 + 4. Let s(j) = j - 142. What is c(s(p))?
188*p**2 - 53392*p + 3790836
Let b(z) = 13*z. Let c(q) be the third derivative of -q**6/30 - 9*q**4 - 3*q**2 + 76*q. Let i(w) be the second derivative of c(w). Determine i(b(u)).
-312*u
Let d(v) = -6*v**2 - 15. Let x(z) = 6*z - 4. Let o(t) = -25*t + 20. Let u(f) = 2*o(f) + 10*x(f). Give d(u(y)).
-600*y**2 - 15
Let s(k) = -6*k**2 + 3*k - 9. Let u(v) = -v**2 + 2 - v - 5 - 2 + 2 + 2*v. Let q(x) = 5*s(x) - 15*u(x). Let j(d) = -3*d. Determine j(q(t)).
45*t**2
Let g(l) = -4*l**2 - 8110191. Let j(t) = -2*t**2. What is g(j(i))?
-16*i**4 - 8110191
Let c(h) = 8*h. Let q(f) = 988 + 976 - 1960 - f. Give q(c(y)).
-8*y + 4
Let u(h) = 4297791*h. Let c(v) = -v. What is c(u(t))?
-4297791*t
Let p(s) = -3*s**2 + 3. Let x(b) = 5*b**2 - 7. Let i(w) = 13*p(w) + 6*x(w). Let r(k) = 2 + 340*k - 342*k - 2 + 0. Calculate i(r(j)).
-36*j**2 - 3
Let l(q) = -7*q**2. Let d(r) = -18*r + 2. Let z(g) = 29452*g - 3256. Let m(k) = -3256*d(k) - 2*z(k). What is m(l(v))?
2072*v**2
Let s(j) = -18*j**2 + 27*j - 1116. Let f(l) = 9*l. What is f(s(x))?
-162*x**2 + 243*x - 10044
Let q(g) = 874*g**2. Let d(l) = 229*l**2 + 0*l + 6*l - 6*l - 231*l**2. Calculate q(d(c)).
3496*c**4
Let g(k) = 10*k**2. Let r(j) = -41 - 21 + 105 + 8*j. Let m be r(21). Let p(h) = 211 - m - h. Give p(g(x)).
-10*x**2
Let w(j) = 1451*j**2. Let d(f) = 2*f**2 - 3*f. Let b(l) = -l**2 + 3*l. Let m(i) = b(i) + d(i). What is m(w(h))?
2105401*h**4
Let b(f) be the third derivative of -f**6/60 + f**4/6 - 2*f**3 + f**2 - 12*f. Let a(z) be the second derivative of b(z). Let q(k) = -9*k. Calculate q(a(w)).
108*w
Suppose 21 = 3*s + f - 4*f, 0 = 5*s - 3*f - 27. Let o(d) be the first derivative of 1 - d**3 - 10*d**3 + 5*d**s. Let c(v) = -v. What is c(o(l))?
18*l**2
Let h(m) = 2*m**2. Let d(g) = 830*g**2 + 344*g - 2. Give d(h(y)).
3320*y**4 + 688*y**2 - 2
Let m(v) = -60*v**2 - 7. Let n(o) = -36*o**2 - 4. Let a(s) = -4*m(s) + 7*n(s). Let b(t) = 2*t**2 - 68*t. Give b(a(z)).
288*z**4 + 816*z**2
Let j(d) = -2162*d**2 + 5*d - 1. Let u(h) = 360*h. Give u(j(z)).
-778320*z**2 + 1800*z - 360
Let f(x) = 190723 - 190723 + 2*x**2 + 0*x**2. Suppose -3*k = -4*p - 14, -3*k = -2*p + p - 8. Let i(b) = -7*b**2 - 7*b**k - b + b. What is f(i(q))?
392*q**4
Let t(p) = 2*p. Let q(y) = -9413228*y**2. Determine t(q(g)).
-18826456*g**2
Let w(a) = -2*a. Let n(o) = -17171*o**2 - 204. Calculate w(n(c)).
34342*c**2 + 408
Let y(j) = -320*j**2 + 16*j + 16. Let b be (4 + 5 + (-63)/6)*2. Let q(r) = -64*r**2 + 3*r + 3. Let d(z) = b*y(z) + 16*q(z). Let o(n) = -2*n**2. Give d(o(w)).
-256*w**4
Let y(u) = 10*u. Let a(n) be the second derivative of -31*n**4/6 - 774*n. Calculate a(y(j)).
-6200*j**2
Let f(p) = -604091*p**2 + 2*p. Let q(g) = -4*g. Determine f(q(b)).
-9665456*b**2 - 8*b
Let q(x) = 193924*x - 96963*x - 96957*x. Let h(m) = 1886*m**2. Determine q(h(z)).
7544*z**2
Suppose -6*g + 8*g - x = 40, g + x - 17 = 0. Let r(d) = -41 + 10 + g*d + 16 + 13. Let s(y) be the first derivative of -y**2/2 + 3. What is r(s(f))?
-19*f - 2
Let m(q) = 884*q. Let w(b) = -168*b. Calculate w(m(a)).
-148512*a
Let z(k) = -13*k**2 - 4*k**2 + 2*k**2 - 7*k**2 + 23*k**2. Let w = 12 + -10. Let m(o) = -o + w*o + o. What is z(m(a))?
4*a**2
Let x(m) = -3*m. Let g(t) be the third derivative of 20*t**2 - 1/12*t**5 + 0*t + 0*t**4 + 0 + 0*t**3. Determine g(x(i)).
-45*i**2
Let b(d) = -27*d**2 + 6*d. Let p(r) = 6156*r. Calculate b(p(k)).
-1023201072*k**2 + 36936*k
Let b(z) = 302*z**3 - z + 4*z - 1 - 4*z + 3*z**2. Let l be b(1). Let v(t) = -l*t + t**2 + 303*t. Let n(p) = -12*p**2. Determine n(v(d)).
-12*d**4
Let i(p) be the second derivative of -p**3/2 - 5*p**2/2 - 3*p - 5. Let b(f) be the second derivative of f**4/12 + 170*f. Determine i(b(c)).
-3*c**2 - 5
Let r(u) = -4*u**2. Let i(z) = 2111734*z. Give i(r(h)).
-8446936*h**2
Let u(l) = -36*l**2. Suppose 0 = -19*j - 4 + 4. Let s(x) be the second derivative of 0*x**2 + j + 17*x + 1/3*x**3. What is u(s(f))?
-144*f**2
Let h be 42 - (12/4 - 4). Let k(x) = 9*x + 4*x + 10*x - h*x. Let o(l) be the second derivative of l**4/6 - l - 1. What is k(o(v))?
-40*v**2
Let w(b) = -14*b**2. Let q(o) = -11*o**2 - 6*o - 3. Let u(y) = 252*y**2 + 136*y + 68. Let m = -226 - -362. Let f(d) = m*q(d) + 6*u(d). Give w(f(z)).
-3584*z**4
Let v(u) = -411*u**2. Let z(q) = 49*q - q - 47*q. Calculate z(v(n)).
-411*n**2
Let z(k) = -k**2 - 13. Let o(a) = -191765*a. What is z(o(h))?
-36773815225*h**2 - 13
Let x(n) = 9*n**2 - 42*n. Let i(j) = 17*j**2 - 77*j. Let k(h) = 6*i(h) - 11*x(h). Let o(u) = 22*u. Give o(k(v)).
66*v**2
Let n(f) = -3*f. Let o(q) = 88*q + 3 + 150*q - 783*q. Determine n(o(b)).
1635*b - 9
Let a(o) = o**2. Let y(g) be the first derivative of g**3 + 0*g**3 - 24 + 2 - 12*g**3. | {
"pile_set_name": "DM Mathematics"
} |
e a + 2*a - 2*w - 6 = 0, 4*a - 5*w - 8 = 0. What is the common denominator of 10/8*(-302)/45 and (-1 - a)*67/(-30)?
90
Suppose 5*r = 5*x + 5, 3*x - 5*x + 5*r - 2 = 0. Find the common denominator of (x/(-3))/(48/(-1242)) and 151/6.
24
Let t(b) = 6*b - 19. Let m be t(5). Suppose -m = -h + 1. What is the smallest common multiple of 30 and h?
60
Let v(y) = 3*y**2 - 4*y + 3. Let x = 68 - 67. Suppose -4 + x = -g. What is the lowest common multiple of g and v(2)?
21
Let l = -316616/848577 - 6/6899. Calculate the common denominator of l and -41/9.
369
Suppose -q - 6 = -2*q. Let w be (-18)/4*14/(-21). Suppose -20 = -5*y + w*y. Calculate the smallest common multiple of q and y.
30
Let k be 1 - 5 - (-70 + 3 - 1). Let d = k - 34. What is the lowest common multiple of 2 and d?
30
Suppose 29 = s + 13. Let g(q) = -183*q + 1106. What is the lowest common multiple of s and g(6)?
16
Suppose -3*q + 26 = -7. What is the smallest common multiple of 56/(-98) - 300/(-84) and q?
33
Let q(r) = -r**3 - 14*r**2 - 31*r + 12. Calculate the least common multiple of 22 and q(-12).
1056
What is the common denominator of (475/50)/((-11)/(-5)) and -117/830?
9130
Let y be -5 + 1 - -4 - 63. Find the common denominator of (-18)/y - (-113)/(-126) and 71/22.
198
Calculate the lowest common multiple of 866 and 5/8*(-1296)/(-81).
4330
Suppose 4*b + 2*t - 21 - 15 = 0, -b - 4*t = -2. Let d be ((-9)/((-54)/8))/((-1)/(-3)). Suppose -d = -l - 0. Calculate the smallest common multiple of l and b.
20
Find the common denominator of (-9)/15 - 3206/490 and 56/5.
35
Let o(y) = 2*y - 12. What is the lowest common multiple of 12 - (7 + -3 - 8) and o(10)?
16
Let r(c) = -2*c**2 - 13*c + 25. Let q be r(2). What is the common denominator of -23/18 and q/(-12)*(-151)/18?
72
Let i be 522/(-1104) + (1 - -2). Let o = 21/8 - i. Let j = o - -2503/276. Calculate the common denominator of j and 59/2.
6
Let u(l) = 2*l - 17. Suppose 2 + 2 = 2*k. Calculate the lowest common multiple of u(14) and k.
22
Let t be -4 + 2/1 + 18. Let o be 8/36 + (-129)/(-27). What is the common denominator of (-63)/t - (-5 + o) and 91/8?
16
Let q(w) = w**3 + 37*w**2 - 3*w + 57. What is the lowest common multiple of 11 and q(-37)?
1848
Let x be (-14 - 4)*1/(-3). Let u be x*(-6)/(-9)*-1. What is the least common multiple of 7/((-21)/u)*9 and 10?
60
Let i = -1282/5 - -10471/40. What is the common denominator of i and 91/(-520)*(-5940)/210?
40
Let j = -26/557 - -28779/55700. What is the common denominator of j and -137/60?
300
Let d = -21163 - -508043/24. Calculate the common denominator of d and 23*-2*(-6)/64.
48
Let y = -9 - -11. Suppose -y*f + 123 = 43. Suppose -f = -j - 4*j. What is the smallest common multiple of j and 2?
8
Let j = -18/6739 - -200111/1752140. Calculate the common denominator of j and 58/45.
2340
Let d(g) = 3*g - 6. Let f be d(3). Suppose f*j - 28 = 5*j. Let b(n) = n**2 + 14*n + 2. What is the smallest common multiple of b(j) and 8?
8
Let q = 917/10 - 61/2. Let a = 1223/15 - q. What is the common denominator of a and 23/2?
6
Let y be 0/((1 - 6/9)*-3). Suppose 24*b - 21*b - 60 = y. Let g(a) = 5*a - 2. What is the smallest common multiple of b and g(4)?
180
Calculate the least common multiple of 24 and (80/(-25))/((-3)/15).
48
Let o be (-9)/(-2)*4/(-3). Let v = -85/3 - 19/6. Find the common denominator of (-3)/o - 166/(-8) and v.
4
Let i(x) = x**3 - 18*x**2 - 21*x + 18. Let o be i(19). Let g = -925 + 3637/4. Let t = g - o. Calculate the common denominator of t and -49/10.
20
Let v(p) = p**3 - 9*p**2 - 23*p + 19. What is the lowest common multiple of 25 and v(12)?
175
Suppose 9*i - 140 = -i. What is the lowest common multiple of i and 49?
98
Let r = 4128 + -37103/9. Find the common denominator of r and 157/(-52) + (-3)/4.
117
Let z = -1901/300 + 1/300. Let j = -1/3846 + -82045/11538. Calculate the common denominator of z and j.
9
Let o = 44 - 46. What is the common denominator of (3 + -10 + o)/(-4) + -3 and -43/4?
4
Suppose -56 = 5*z + 3*q, -2*z - 2*q + 3 - 27 = 0. Let i be (-6)/4*z/3. Find the common denominator of (-39)/6*(-3)/i and -5/4.
20
Let a = -626083 - -240416011/384. What is the common denominator of a and 119/240?
1920
Let k = 23 - 19. Suppose -2*i = -b - 3*b, 0 = k*i - b + 7. Let j(s) = 4*s**2 - s + 2. What is the least common multiple of j(i) and 8?
40
Let y = 10817/8 + -1354. Find the common denominator of y and -97/70.
280
Let u be 28/(0 + (-4)/(-8)). Let k = 64 - u. Suppose 16 = 3*r + a, 3*r - a - 8 = 6. What is the smallest common multiple of r and k?
40
What is the common denominator of (0 + 0 + 1)*8058/2844 and 67/204?
204
Suppose -16 = -r - q, -2*r + 4*q - 2*q + 52 = 0. Let d(i) = -19*i**3 - i**2 - i - 1. Calculate the smallest common multiple of d(-1) and r.
126
Let v = 316 + -298. Let i = -3 - -8. Suppose -i*x = -50 - 60. Calculate the least common multiple of x and v.
198
Suppose 3800 = 13*m + 12*m. What is the least common multiple of m and 6?
456
Let d = 38293/1892 + -840/43. Calculate the common denominator of (-114)/76 - -2*(-332)/288 and d.
396
Let p be 246/(-8)*48/(-18). Let c be 5/(-2)*(-32)/40. Suppose c*f = -0*f + p. Calculate the least common multiple of 2 and f.
82
Let o = -15 + 17. Let v be o/12 - (-9034)/(-54252). Let x = v + 664567/135630. Calculate the common denominator of -23/9 and x.
90
Let n be (-58)/4 - (-6)/(-4). What is the common denominator of n/88 + 1242/418 and -47/3?
57
Let l = -41 + 25. Calculate the smallest common multiple of -1 + 0 + 2 + 1 and (81/36)/(2 + 26/l).
6
Let g = -1786 - -1078. Let s = g + 7087/10. Let r = -1213/164 - -6/41. Calculate the common denominator of r and s.
20
Let i be ((-48)/(-40))/(8/13190). Let p = 2024 - i. What is the common denominator of p and -51/8?
8
Let r = 82/1977 + 41893/245148. What is the common denominator of r and -25/12?
372
What is the common denominator of 500/300 + 82*(-10)/144 and 83/8?
72
Let n(k) = -k**2 + 5*k + 4. Suppose -25 = 4*i + i. Let f = i + 8. What is the least common multiple of n(f) and 4?
20
Let p be (-93)/12 + 3/(-12). Let n = 41 - 33. Calculate the lowest common multiple of n and (43 - -1)*(-4)/p.
88
Let u be (-508370)/(-48) + 4/16. Let l = 10593 - u. Find the common denominator of -91/10 and l.
120
Suppose -17*i + 56 = -3*i. What is the lowest common multiple of i and 3?
12
Let x = -324581/18 - -18027. Find the common denominator of x and 41/90.
90
Let a(i) = 14*i + 80. Calculate the lowest common multiple of 22 and a(-5).
110
Let z(n) = 2*n**3 + n**2 - 8*n + 4. Let j be z(-4). Find the common denominator of 103/6 and j/(-12)*(-2)/4.
6
Calculate the common denominator of (-14)/112*(-158)/10 and 51/10.
40
Let a(r) = r**2 - 4*r + 5. Let d be a(2). Suppose 5*u + 1 = -4*v, -u = -0*u + d. What is the lowest common multiple of v and 2?
2
Let m = 33005009 + -6171964658/187. Let c = 2622/17 + m. Find the common denominator of 12/11 and c.
11
Let o = 17341/96 + -542/3. What is the common denominator of o and -57/392?
1568
What is the common denominator of 2/(128/(-269)) + 3 and 16/7?
448
Suppose -3*a - o = -1059, -2*o = 12 - 18. Calculate the smallest common multiple of a and 12.
1056
Suppose 0 = -31*h + 27*h + 804. Suppose r = -3*j + 148, -5*j + 3*r + h = -27. What is the common denominator of -2 - (-3 + (-196)/j) and -31/4?
12
Let b be (-10)/(-15) + 321/(-477). Let d = b + -3391/159. What is the common denominator of d and (3/16)/((-9)/246)?
24
Let v = -4/191 - -4214/573. What is the common denominator of v and -49/9?
9
Let w = -368809/380640 - -2/11895. What is the common denominator of -19/204 and w?
1632
Suppose -2*t - 5*q = -5 + 17, -3*t + 5*q = 18. What is the least common multiple of 10 and 0 + t*5/(-10)?
30
Let z = 131 - 117. What is the smallest common multiple of 106 and z?
742
What is the common denominator of -7/9 and ((-1)/7)/((-15)/(-41))?
315
Calculate the least common multiple of 21*2/(-10)*-5 - -3 and 248.
744
Suppose 4*c = -5*c + 270. What is the lowest common multiple of 25 and c?
150
Let q(m) = m**2 + 5*m - 9. Let u be q(-7). What is the smallest common multiple of u/(-25) - (-42)/10 and 12?
12
What is the smallest common multiple of (-5)/(-19 - 1) - 309/(-12) and 117?
234
Let b = -6489 - -3089. Let g = b + 27237/8. What is the common denominator of -43/9 and g?
72
Suppose v = -4*p + 226, - | {
"pile_set_name": "DM Mathematics"
} |
t is -0.05964 rounded to 2 dps?
-0.06
Round 0.000027718 to five dps.
0.00003
What is 50.069 rounded to zero dps?
50
Round 42117 to the nearest ten thousand.
40000
What is -0.489949 rounded to 3 dps?
-0.49
Round 0.0029348 to five decimal places.
0.00293
What is -0.0023092 rounded to 4 dps?
-0.0023
Round 461.03 to the nearest integer.
461
Round -0.00029068 to 4 decimal places.
-0.0003
Round 0.020664 to four decimal places.
0.0207
Round -1727.32 to the nearest 100.
-1700
What is -0.000006297 rounded to six dps?
-0.000006
Round -0.01209 to 3 dps.
-0.012
What is -0.000023946 rounded to 7 dps?
-0.0000239
What is -112944000 rounded to the nearest one hundred thousand?
-112900000
Round -49314000 to the nearest one million.
-49000000
What is 0.011141 rounded to 4 decimal places?
0.0111
Round 0.10553 to three dps.
0.106
What is -0.00097288 rounded to 5 dps?
-0.00097
What is -1041 rounded to the nearest 10?
-1040
Round -0.10436 to two dps.
-0.1
Round 5.98 to the nearest 10.
10
What is 1002.64 rounded to the nearest 100?
1000
What is 0.27451 rounded to two dps?
0.27
Round -0.37969 to two dps.
-0.38
What is -7210820 rounded to the nearest one million?
-7000000
Round -0.00943 to 4 dps.
-0.0094
What is 17406000 rounded to the nearest 1000000?
17000000
Round 95240 to the nearest ten thousand.
100000
What is -715930 rounded to the nearest ten thousand?
-720000
What is -0.0000327 rounded to 6 decimal places?
-0.000033
Round -186.1 to the nearest 100.
-200
What is 0.00006438 rounded to 6 decimal places?
0.000064
What is -1180 rounded to the nearest ten?
-1180
Round -468 to the nearest 10.
-470
What is 195600 rounded to the nearest 10000?
200000
What is -79080 rounded to the nearest 10000?
-80000
What is 0.16852 rounded to one dp?
0.2
Round 0.4208 to two decimal places.
0.42
Round -0.001141 to 4 decimal places.
-0.0011
Round -0.062934 to 3 decimal places.
-0.063
What is 0.000000407 rounded to 7 dps?
0.0000004
Round -318.29 to zero decimal places.
-318
Round 62.5441 to the nearest ten.
60
What is -0.0021636 rounded to five dps?
-0.00216
Round 0.233 to two decimal places.
0.23
Round 2024000 to the nearest one hundred thousand.
2000000
Round -0.00008973 to 5 decimal places.
-0.00009
Round -0.00000617 to 6 decimal places.
-0.000006
What is -992700 rounded to the nearest 100000?
-1000000
Round 122.051 to the nearest 10.
120
Round -0.000961 to four decimal places.
-0.001
What is 84.45 rounded to zero decimal places?
84
Round 0.00003683 to 6 dps.
0.000037
What is -85000 rounded to the nearest 1000?
-85000
Round -0.3335 to 2 dps.
-0.33
What is 0.00122001 rounded to 4 dps?
0.0012
What is 14951000 rounded to the nearest one million?
15000000
Round 3634000 to the nearest 100000.
3600000
Round 12800 to the nearest ten thousand.
10000
What is 8.312 rounded to 0 decimal places?
8
What is -0.557663 rounded to 3 dps?
-0.558
Round 1.02492 to 1 dp.
1
What is 29.261 rounded to 1 decimal place?
29.3
Round -2.4856 to two dps.
-2.49
What is 0.06959 rounded to two dps?
0.07
What is -23.319 rounded to 1 dp?
-23.3
Round 1.4142 to two dps.
1.41
What is 0.020602 rounded to three dps?
0.021
What is 66.54 rounded to the nearest ten?
70
What is 1.5257 rounded to 1 decimal place?
1.5
Round -1.996 to 2 dps.
-2
What is 0.001581 rounded to 5 dps?
0.00158
Round 0.000039012 to 5 dps.
0.00004
What is -0.00121 rounded to 2 decimal places?
0
Round -17620000 to the nearest 1000000.
-18000000
Round -65787 to the nearest 1000.
-66000
What is 0.000030891 rounded to six decimal places?
0.000031
Round 1980 to the nearest one hundred.
2000
What is 7615000 rounded to the nearest 100000?
7600000
What is -5.82 rounded to 0 dps?
-6
Round 1436940 to the nearest ten thousand.
1440000
What is -4430 rounded to the nearest 1000?
-4000
What is 0.03388 rounded to 3 dps?
0.034
Round 0.0000005482 to seven decimal places.
0.0000005
Round -5604 to the nearest one thousand.
-6000
Round 1.1 to one dp.
1.1
Round -0.00388 to 3 dps.
-0.004
What is -15.29 rounded to 1 dp?
-15.3
What is 1744300 rounded to the nearest 10000?
1740000
Round 0.01513 to two dps.
0.02
What is 96755000 rounded to the nearest 1000000?
97000000
Round 0.0000120863 to 7 decimal places.
0.0000121
Round -0.000004511 to 6 dps.
-0.000005
What is -0.00003932 rounded to 6 decimal places?
-0.000039
Round -0.0000017276 to six dps.
-0.000002
What is -0.00012696 rounded to 5 dps?
-0.00013
What is -147.47 rounded to the nearest 10?
-150
Round -0.0324 to two decimal places.
-0.03
Round -0.88998 to two decimal places.
-0.89
Round -0.5275 to 1 decimal place.
-0.5
What is 9695900 rounded to the nearest 100000?
9700000
Round -0.52657 to two decimal places.
-0.53
Round 27933 to the nearest one thousand.
28000
What is 0.240394 rounded to three decimal places?
0.24
What is 0.0000006386 rounded to 7 decimal places?
0.0000006
What is 27000000 rounded to the nearest 1000000?
27000000
Round 7133700 to the nearest one hundred thousand.
7100000
What is -0.0014006 rounded to four dps?
-0.0014
What is -17078 rounded to the nearest 1000?
-17000
Round 15670 to the nearest 1000.
16000
Round 8000.5 to the nearest one hundred.
8000
What is 1373.6 rounded to the nearest ten?
1370
Round -0.11003 to two decimal places.
-0.11
What is 0.000359319 rounded to five decimal places?
0.00036
Round -3282 to the nearest one thousand.
-3000
What is -0.0170403 rounded to four decimal places?
-0.017
Round 314440 to the nearest 10000.
310000
Round 19270 to the nearest 1000.
19000
What is -0.0000004341 rounded to 7 dps?
-0.0000004
Round 63040 to the nearest one hundred.
63000
Round -8807 to the nearest one thousand.
-9000
What is -0.000012569 rounded to seven decimal places?
-0.0000126
What is 0.00014697 rounded to 5 decimal places?
0.00015
Round -1363 to the nearest one hundred.
-1400
What is 8.544 rounded to one dp?
8.5
What is 0.0000011039 rounded to 7 decimal places?
0.0000011
Round 0.0007815 to five dps.
0.00078
What is 34847.1 rounded to the nearest one hundred?
34800
What is 0.0331328 rounded to 4 dps?
0.0331
What is 0.00000756 rounded to six decimal places?
0.000008
What is 0.00021441 rounded to four dps?
0.0002
Round 0.00000469 to six decimal places.
0.000005
What is -2.2577 rounded to the nearest integer?
-2
Round -0.57888 to one dp.
-0.6
What is -6.3155 rounded to two decimal places?
-6.32
What is 87183 rounded to the nearest one thousand?
87000
Round -2.573 to the nearest integer.
-3
What is 7961.2 rounded to the nearest 100?
8000
What is 0.925 rounded to 1 dp?
0.9
What is 2.55 rounded to zero decimal places?
3
What is -0.0018465 rounded to 5 decimal places?
-0.00185
What is 0.00119159 rounded to four dps?
0.0012
What is 0.00002771 rounded to four dps?
0
What is 0.0110667 rounded to four dps?
0.0111
What is 0.14222 rounded to two dps?
0.14
What is -3.4 rounded to the nearest 10?
0
What is -0.000004544 rounded to 7 decimal places?
-0.0000045
Round -67850000 to the nearest one million.
-68000000
What is -0.0000173092 rounded to six dps?
-0.000017
What is 109.4 rounded to the nearest 10?
110
What is 0.8218 rounded to one decimal place?
0.8
What is 5.00278 rounded to 2 decimal places?
5
What is 98000 rounded to the nearest one hundred thousand?
100000
What is 137830 rounded to the nearest 10000?
140000
Round -3396 to the nearest 1000.
-3000
What is 0.01607 rounded to 2 dps?
0.02
Round -36.77 to zero decimal places.
-37
What is 0.00241388 rounded to 4 decimal places?
0.0024
What is -0.0018559 rounded to four dps?
-0.0019
Round -1.0463 to two decimal places.
-1.05
Round 0.000003015 to six decimal places.
0.000003
What is -73370 rounded to the nearest ten thousand?
-70000
What is -199.967 rounded to the nearest 10?
-200
Round -3317 to the nearest one hundred.
-3300
What is 0.889 rounded to 2 decimal places?
0.89
What is 159 rounded to the nearest 100?
200
Round -0.000045734 to 5 dps.
-0.00005
What is -0.000278 rounded to 6 decimal places?
-0.000278
What is 0.130025 rounded to two dps?
0.13
What is -0.0701 rounded to one decimal place?
-0.1
Round 5100 to the nearest 1000.
5000
Round 0.00285 to 3 dps.
0.003
What is 0.0001673 rounded to five dps?
0.00017
What is 2.713 rounded to one dp?
2.7
Round 0.3381 to the nearest integer.
0
What is -0.00015683 rounded to 6 dps?
-0.000157
What is -3.965 rounded | {
"pile_set_name": "DM Mathematics"
} |
-5 - -7)). Suppose 0*y - h = 2*y. Is y > v?
False
Let c = -148 + 1039/7. Let b = -12 - -12.8. Are c and b nonequal?
True
Let x(d) = -9*d**2 - 107*d + 13. Let c be x(-12). Is 2/997 bigger than c?
False
Let k = 4.1 - 4. Let z = -171 + 172.6. Which is greater: k or z?
z
Let k = -12 + -3. Let n be 3 - (1 + k/(-6)). Let y = n - -7/6. Is 0 equal to y?
False
Let o(r) = 3*r - 8. Let j be o(5). Let k(y) = y**2 - 7*y + 1. Let u be k(j). Let v = 2/459 + 292/3213. Are u and v non-equal?
True
Let j(p) = 2*p + 5. Let t(r) = -1. Let u(q) = -j(q) - 4*t(q). Let k be u(-2). Let c be (160/52 - k)*-2. Which is smaller: 1 or c?
c
Suppose -226 = -o - 4*g, -g = g. Which is bigger: o or 227?
227
Let w(f) = -f**3 - 14*f**2 - 13*f + 5. Let u be w(-13). Let v = 6 - u. Let t(l) = l**2 - 2*l + 2. Let y be t(v). Is 8/5 < y?
False
Let z = -70 + 102. Suppose 28*x = z*x. Which is smaller: 6/5 or x?
x
Let z be (2/(-5))/(87*36/(-675)). Which is greater: z or -1?
z
Let o be (-1*214)/(124 - 15) + 2. Do o and 1 have the same value?
False
Let b be 564/(-9) - (24/18)/4. Let c be ((-8)/(2464/b))/(3/8). Let d(u) = -u**3 - 6*u**2 + 6*u - 5. Let l be d(-7). Which is bigger: l or c?
l
Let s = -65 + -3. Let x = -69.96 - s. Let w = x - 0.04. Does w = -3/7?
False
Let g = 9799/4 - 2464. Which is bigger: -13 or g?
-13
Let s be (2 + -20)*24/18. Let y = s + 26. Suppose -2*w - 5*d = -12, -4*w = 4*d - y - 10. Is w bigger than -1/10?
True
Let c = 524 + -527.91. Let q = -4 - c. Is 0 not equal to q?
True
Let t be (30/12)/(-3 + 2838/948). Is t greater than or equal to -396?
True
Let p = -28 + 40. Let h = 12.05 - p. Which is smaller: h or -0.2?
-0.2
Let f(g) = -3*g + 84. Let n be f(23). Is 14 smaller than n?
True
Suppose -60 = o - 6*o. Let m = o + -8. Let w = -596 + 600. Are m and w non-equal?
False
Let h be -2 + 0 + (-36)/(-10). Let t = 86 + -94. Let n = t - -10. Which is smaller: n or h?
h
Let r(l) = 4*l - 20. Let a be r(6). Suppose 5*i = 4*s - 0*s - 45, 4 = -a*i. Is 9 != s?
True
Let f be (-2)/5*(3 + -2). Let v be 10/(-45) - 3/(-27)*-25. Let w be (v + 69/24)*-3. Is f greater than w?
False
Suppose -n - 2*l + 16 = 2*n, -4*l - 22 = -3*n. Suppose 0*x - x - 2*w - n = 0, 2*x = w + 8. Which is smaller: 7 or x?
x
Let l = 366 + -356. Is l smaller than 48/5?
False
Let i = -22111/39 + 567. Let r(z) = -z**3 + 4*z**2. Let u be r(4). Which is smaller: u or i?
u
Suppose 4*s - 11 = 4*q + 3*s, 0 = 5*q + 5*s + 45. Let x be (-10)/q*116/435. Let l be 14/(-10) - (-4)/10. Which is greater: l or x?
x
Let q be 16/88 - 40/198. Let t = -394 - -393. Is t greater than q?
False
Let j = 4 + -1. Suppose 2*t - 3*k + 15 = 0, 3*k - 15 + 0 = 0. Suppose t = -c + 5*c - 28. Are c and j non-equal?
True
Let t(r) = -r**2 - 5*r - 4. Let x be t(-1). Does 198 = x?
False
Let v = -248739/163 + 1526. Which is smaller: 1 or v?
v
Let x = -294 + 294. Does -182 = x?
False
Let r be (96/164)/4*(-16)/544. Which is smaller: 0 or r?
r
Suppose 0*n - 46 = n. Let o = 72 + -39. Let m = o + n. Which is bigger: m or -12?
-12
Let f be 186/66 - 3 - 24/(-11). Suppose -5*x = f*h - 0*h + 29, -h = -x - 3. Suppose 0*l + 4*l + 16 = 0. Which is bigger: h or l?
h
Let x = -237749/150 + 1585. Is x less than or equal to 0?
False
Let f be (3 + 1)*22/(-8). Let p = -51 - -39. Let d = p - f. Do d and 2/5 have different values?
True
Let o = 21 - 23. Let i be 8/(-6)*o/4. Which is smaller: i or 0?
0
Let h(j) = -j**3 + 3*j**2 + 4*j - 5. Let v be h(4). Let k(r) = -2 + 2 - r**2 - 3*r + 2. Let s be k(v). Is s smaller than -9?
False
Let g(r) = -r**2 + 13*r - 7. Let o be g(8). Let u = o + -9. Let h be 2*3/u + 0. Which is bigger: h or 3/5?
3/5
Suppose -8*c = -9*c + 29. Let d be 0/(-2) - 30*-1. Let l = c - d. Is l equal to -2/13?
False
Let o = -59/20 - -16/5. Is -0.0272 less than or equal to o?
True
Let f(b) = b - 4. Let n be f(9). Suppose 0 = 10*x - n*x. Let t = -11/51 - 1/153. Does x = t?
False
Let c be (-2)/(-11) + 252/66. Suppose w = -c*w + 20. Suppose 0 = -g + 2*r + 8, 16 = 5*g - w*r - 0*r. Which is bigger: 2/75 or g?
2/75
Let u = 128 + 42. Let w be 9/12 - u/(-8). Suppose -4*f - 2 = -w. Is 5 bigger than f?
False
Let f be 0/(1 + 3) + (-5002)/40. Let j be 1746/(-14) - (-4)/(-14). Let p = f - j. Are p and 1 equal?
False
Let m be (-24)/(-9)*(-6)/(-8). Suppose 0 = -m*w + 11*w - 396. Is w equal to 0?
False
Let b = 15079/52 - 290. Let o(k) = -3*k - 1. Let u be o(0). Does u = b?
False
Let r be -2 + (1 - (-1 + 1)). Suppose -35 = 3*l + l - 3*y, 3*l - y + 30 = 0. Let x be 0/r - (9 + l). Which is bigger: 3 or x?
3
Suppose 27*i + 5*g = 29*i - 188, 0 = 5*i - g - 470. Is 379/4 not equal to i?
True
Let f(d) = -3*d**2 + 9*d + 41. Let g be f(-9). Is g <= -284?
False
Suppose 2*t + 2*t = 0. Suppose -1390 = 4*p - 3*g, 2*p - g - 2*g + 698 = t. Let m = p + 1722/5. Which is greater: m or -1?
-1
Let k be ((-4)/(-3))/((-1)/9). Let d(i) = -22*i**2 + 2. Let w be d(-1). Let f = w + 8. Is k less than f?
False
Let h = 1 + 1. Suppose -30 = -7*a - 3*a. Let q be (2 + -2)/2 + a + -1. Is q bigger than h?
False
Let u(z) = -z**2 + 3*z + 2. Let a be u(4). Let v be 0 + 9 + 8/a. Suppose -2*d + 5*w + 9 = -v, 4*d + 4*w = 0. Do d and 4/3 have different values?
True
Let h = 169 - 147. Suppose -5*r + b = -107, -3*r + 4*b + 32 = -h. Is -2 != r?
True
Let l = 85 + -83. Suppose -a - 1 = 2*j, -l*j - 4*a = -9*a + 7. Which is smaller: j or -3?
-3
Suppose 2*b - 168 = 4*j + 122, -j + 2*b - 65 = 0. Let d = j + 75. Is d less than 2/163?
True
Suppose 3 = -5*n + 313. Suppose a = -4*v - 79, 2*v + 2*a = 5*v + n. Let c be (-1)/(-4) - (-5)/v. Is 0 equal to c?
True
Suppose 20 = 2*s - 0. Suppose 0 = -7*v + 62 + 8. Is s > v?
False
Suppose 18 = -b + 4*m, -2*m + 18 = 4*b - 0*m. Let f(w) = -w**3 + w**2. Let l be f(b). Let a be (-7)/7*l/(-14). Which is greater: 1 or a?
1
Let t(q) = -q**3 - 5*q**2 - 2*q + 10. Let w(h) = h**3 - h**2 - 1. Let p(s) = -t(s) - 2*w(s). Let m be p(7). Is 5 less than m?
True
Let c(m) = -32*m - 578. Let a be c(-19). Is a greater than 38?
False
Suppose 3*r - 4*x = r, -4 = 2*r - 5*x. Suppose 3*h - 5*h = -r. Is h less than 3?
False
Let d(i) = 1 - 3*i - i - i + 6*i**2 - i**3. Let k be d(5). Let m be -5 - -1 - (1356/(-270) + (-16)/(-72)). Are k and m equal?
False
Let h = 6.62 + -6.52. Is 4/33 < h?
False
Let m = -153 - -139.4. Which is greater: 0.1 or m?
0.1
Suppose 9*v + g - 43 = 4*v, -2*v + 3*g + 24 = 0. Suppose -3 = -4*l + 5*b, -18 = l + 53*b - 58*b. Which is bigger: v or l?
v
Let i = -35 + 32. Let a(x) = 3*x - 5. Let g(q) = 4*q - 4. Let z(p) = i*a(p) + 2*g(p). Let j be z(-2). Is j at most as big as 10?
True
Let c be (8 + -2)/(9/(-6)). Let z be 2 - (c + (-1 - 6)). Suppose 12*d = z*d. Which is smaller: 2/3 or d?
d
Let l = 522.331 + -0.331. Is -1/3 >= l?
False
Let d(f) = -f**3 + 10*f**2 + 2*f - 1. Let j be d(10). Let s be (3 - 7) + (j - 2). Let u be (7/(-4))/(s/52). Is -7 < u?
False
Let z = 147 - 174. Which is greater: -35 or z?
z
Let b be (10/(-5))/((-2)/4). Suppose -15 = -r - b*r. Let z be (-1)/(r + -2 + 1). Which is smaller: 0 or z?
z
Suppose 8 = -2*s, -26*s = x - 21*s + 456. Which is greater: -435 or x?
-435
Let l = -1785 + 1793. Is 4/11 < l?
True
Let z = -6578 - -12873/2. Which is smaller: -142 or z?
-142
Let f = -535 + -1184. Which is greater: -1718 or f?
-1718
Let d(r) = 3*r - 12. Let v be d(4). Which is smaller: v or -18/77?
-18/77
Let w(f) = 83*f + 858. Let d be w(-6). Which is greater: 1/4 or d?
d
Suppose 0 = -2*n - n + 36. Suppose 11 = -4*u + 63. Suppose q - 4 = -5*p + n, -4*q - 3*p = -u. Is q > 0.1?
True
Let x be 109 + (-1 - (2 - 4)). Suppose x = 4*c - 2*b, -3*b - 23 = -c - b. Suppose 2*k - k + c = -5*p, -4*k + 4 = 0. Which is smaller: -8 or p?
-8
Let k(d) be the third derivative of -d**4/4 + d**3 + 2*d**2. Let s be k(-4). Suppose 0 = -0*h - 5*h + s. Which is smaller: h or 4?
4
Let p = -1507/2 - -9041/12. Which is smaller: 0.25 or p?
p
Let p = -2 + -1. Suppose 3*h + 3*u = 3, 39*h = 42*h - 5*u + 45. Which is greater: h or p?
p
Let z be 2 + -2 - (-13)/(-1274). Which is bigger: z or 1?
1
Let v = -0.1 + 1.1. Let w = 717 + -726. Is w smaller than v?
True
Let t = -1058 + 68767/65. Which is smaller: 0 or t?
t
Let d = 134 - 133.7. Is d greater than or equal to -0.5?
True
Let j = 71 - 102. Let k = 3361 - 3392. Does j = k?
True
Let m be (8/(-102))/(90/945). Which is bigger: 0 or m?
0
Let a be (-156)/(-8) - (-3)/2. Suppose 6 = | {
"pile_set_name": "DM Mathematics"
} |
3
What is 2 + -3 - (-758 + 725)?
32
What is the value of 41 + -31 - (-18 - (6 + 1 + -9))?
26
Evaluate -36 - (2 + (23 - 7) + -25).
-29
Calculate 13 + (-9 - (-8 - -13)).
-1
16 + -19 + (28 - 4)
21
What is 4 + -2 + -31 + 17?
-12
Calculate (2 + (-2 - 2) - (40 - 34)) + 6.
-2
Evaluate 24 + (2 + (11 - (-3 - -10)) - 3).
27
13 + 7 + -4 + 8 - -5
29
-13 + (-6 + 19 - 11)
-11
What is -9 - ((-38 - -44) + (1 - (3 - -1)))?
-12
Calculate -15 + (-9 - (11 + -20 + 10)).
-25
(-4 - -7) + 22 + -2 + -5 + 14
32
-16 - -29 - (3 + 11) - (-2 - -12)
-11
Calculate -31 + (-17 - -38) + -18.
-28
Calculate -577 - -578 - (-2 + 4).
-1
-3 - (-91 + 93 - (-9 - -3))
-11
What is the value of 0 + -7 + -2 + -2 + 4 + 17?
10
What is the value of 177 - 179 - (-1 + -1 - -10) - -38?
28
Calculate -20 + (-41 - -31 - -41).
11
Evaluate 37 - (-7 - (0 - (2 - -9))).
33
Calculate -38 - (9 - (13 + (1 - -2))).
-31
Calculate -157 - -151 - (-8 - -1).
1
What is the value of (-12 - (30 - 13)) + 16?
-13
Calculate 1 + -21 + -43 + 40.
-23
What is (21 + -25 + (-1 - 2) - -3) + 4?
0
-1 - -20 - 10 - (-2 - (0 + 3))
14
Evaluate (5 - (10 + -5) - 2 - -7) + -3.
2
What is (-9 - (-15 + 14)) + (-1 - -2)?
-7
-28 - -8 - (3 - (-4 - -17))
-10
What is 12 + 26 + -104 + 77?
11
5 - (-4 + 2) - (-10 - (-1 + 3))
19
Calculate (2 + -23 - (26 - 38)) + 24.
15
What is the value of (2 - 0) + (5 - -9 - 7 - 17)?
-8
What is the value of -20 + -1 + 13 - -19?
11
1 + 10 - (66 + -72)
17
What is -2538 + 2535 + (0 - -1) + 1?
-1
Evaluate 12 + 4 + -12 + -13 + -9.
-18
Evaluate (-6 - (9 + (6 - 7))) + (5 - 0).
-9
Evaluate (-11 - 1) + (0 - 0) + (-66 - -64).
-14
What is the value of (-19 - -1) + -12 + 3 + -14 + 19?
-22
Evaluate (9 - 11) + -7 + 22.
13
Evaluate 9 + 1 - (34 - (23 - (-26 + 48))).
-23
What is the value of -7 - (5 + -7) - -4 - (5 - 4)?
-2
9 + 7 + (-36 - (-20 - -9)) - 27
-36
What is the value of (-1 - (6 + -11 + 1)) + 4 + 1?
8
What is the value of -8 + -18 + (16 - -3)?
-7
What is -301 + 311 - (-2 + (-2 - -24))?
-10
Calculate 1 + (1 + 7 - (-3 - (-1 + 2))).
13
What is the value of (1 - -10) + 0 + (23 - 27)?
7
Evaluate (-13 - (-43 - -32)) + 9.
7
What is -33 + (0 - (-10 + -39))?
16
Evaluate 2 + (29 - 13) - 17.
1
What is -74 + 94 + (-28 - 8)?
-16
Calculate 10 - (98 - 104 - (-8 + (1 - 0))).
9
Calculate (-5 - -13 - 18) + -7.
-17
What is the value of 0 - 20 - (-183 - -172)?
-9
Evaluate (5 - 13) + (5 - -11) + -9 + 25.
24
Calculate (-2 - (-9 + -6)) + -3 + 10.
20
(-7 - (4 - 8)) + (15 - (-14 - -24))
2
What is the value of (-17 - 2) + 37 + -9?
9
Evaluate (-2 + 8 - (-13 + 12)) + -12 + 9.
4
Calculate 0 - (0 + 12 + -12).
0
What is -13 + -6 + 43 + -3?
21
-64 - -52 - ((4 - -2) + (-1 - -7))
-24
(0 - (33 + -37)) + (0 - 3)
1
What is (8 + 2 - (-3 + (-8 - -12))) + 11?
20
What is (1 - -8 - -3) + (-23 - -18)?
7
2 - -10 - -13 - 10
15
Evaluate 402 - 408 - (9 + -1 + (-1 - 0)).
-13
What is the value of -830 + 824 + 23 + -3 + 3?
17
Calculate 22 + (-6 - (15 - 9)).
10
Calculate (3 - -15) + (13 - 25 - -6).
12
Calculate -5 + (6 - 9) + 1 + 13 + 1.
7
What is the value of -31 - ((-10 - 18) + -30)?
27
Calculate (-4 - 24) + (-73 - -82).
-19
What is 6 + -1 - (20 + -4 + -17)?
6
Calculate 3 - (-10 + 19) - (0 + 3 + -1).
-8
Calculate 27 - 61 - -50 - ((2 - 0) + -5).
19
What is (5 - 11) + 5 + -135 + 140?
4
Evaluate 6 - (-11 - -16) - (-3 + (-18 - -3)).
19
What is (-10 - (4 - 2) - -43) + -7?
24
Evaluate 3 - (0 - (0 - -9)).
12
Calculate (2 + 10 + -9 - 13) + 14.
4
Calculate 3 + 1 - (-18 + 5 - -18) - -8.
7
Evaluate -1 - 16 - (15 + 12 + -34).
-10
What is (6 - (11 - -6)) + (8 - 11)?
-14
What is -1 - -31 - (900 - 891)?
21
What is (-1 + 4 - (-3 + 15)) + 2 + 4?
-3
-26 - (-1 - (31 + -13))
-7
What is 1 + -26 + 26 - (-24 + (-1 - -3))?
23
Calculate 138 - 133 - (14 + 1).
-10
Calculate (-4 - 37 - -70) + -15.
14
Calculate (4 + 5 - 4 - 8 - -4) + -4.
-3
Evaluate 8 + -1 + 1 + 51 + -55.
4
-10 + (16 - (-11 - -20))
-3
What is -179 + 185 + (-8 - (-1 - -1))?
-2
Calculate (15 - (3 + 19 - 10)) + -3.
0
Evaluate -19 + 19 - (0 + -4 + 13) - -6.
-3
What is the value of 31 + (9 + -4 - 19) + -5?
12
What is the value of -34 - (-93 - -60) - (1 + 5)?
-7
(-2 - 3) + 38 + -105 + 49
-23
-61 - (-21 + (-18 - -5))
-27
What is the value of 7 + 10 + (-4 - 4) + -9?
0
What is -27 + 26 - -12 - (-2 - 6)?
19
What is -12 + 1 + (-234 - -230)?
-15
What is the value of (-7 - 12 - (17 + -13)) + 7?
-16
What is 71 - (28 + 40 + -31)?
34
What is the value of 5 + 12 + 14 - (5 - 0)?
26
Evaluate -20 - (-7 + (-14 - (-7 - 10))).
-16
What is the value of -7 + -36 + 10 - -41?
8
Evaluate 3 - ((11 - 2) + (-30 - -31)).
-7
Evaluate -5 + 3 - (-3 + (-4 - -2) + -3).
6
Calculate 12 + (15 - 33) + 13.
7
19 - -3 - (12 - (6 - 1))
15
(5 - (1 + 19)) + 7 + -4
-12
What is the value of 0 - ((9 - 6 - 0) + (-5 - 7))?
9
What is the value of 17 + -53 + -1 + 6?
-31
Evaluate 375 + -374 + (0 + -1 - (-12 - 0)).
12
What is the value of (-51 - 1) + (-21 - (13 - 51))?
-35
19 + 1 + (-28 - (-5 + -18) - -16)
31
Evaluate 65 - 45 - (-2 - -16).
6
What is the value of 17 + 0 + 9 + -36?
-10
What is -13 + 8 + (5 + -6 + -7 - 2)?
-15
What is the value of (5 - 9) + 4 + -9 + 0 + -2?
-11
What is -3 + (14 - (5 + (13 - 8)))?
1
What is the value of 13 + (8 - (12 - -6)) + 2?
5
(9 - 1 - (91 + -81)) + 10
8
What is the value of -33 - (13 + 4 + -18 - 12)?
-20
What is the value of -4 - ((-45 - (-25 - -8)) + 5 + -1)?
20
Evaluate (-13 - -8) + 6 + 8.
9
-4 - (37 - 12) - -40
11
What is the value of -8 + (15 - -1) - (-6 - -3)?
11
Evaluate 10 + -5 + -7 + 5 + (-13 - -17).
7
-10 - (14 + -17 + 9)
-16
What is the value of 0 - -2 - (-167 + 174)?
-5
Evaluate -13 + 2 + 17 - (1 - (2 + -2)).
5
Evaluate -30 + (11 - 38 - -56).
-1
1 + (-12 - -15 - 14) - -20
10
Evaluate 2 - 0 - (-6 - 7 - -5).
10
What is 359 - 359 - (-2 - 16)?
18
What is the value of 255 + -242 + 0 + -7 - 11?
-5
What is the value of 14 + (-56 - (24 - 67))?
1
19 + -31 + 54 + -16
26
Calculate -4 + 6 - (5 - 10 - (4 - 3)).
8
-6 + (-11 - -16) + (-2 + -1 - -3)
-1
Evaluate 11 + -15 + (9 - (5 + 5)).
-5
What is the value of 101 + -93 + (1 - (0 - -21))?
-12
What is the value of -3 - (-7 + 5) - -6 - (17 + 20)?
-32
-8 - ((-22 - -14) + -14)
14
What is the value of 30 - 19 - (1 + 8 + -10)?
12
Evaluate 1 + (-19 - -26) - (3 + -1) - 11.
-5
-9 + (0 - (4 - 8)) + 17
12
What is 3 + 0 + 11 + -13?
1
What is the value of 0 + (-22 - -13 - (-36 + 9))?
18
What is 73 + -81 + 3 + -15?
-20
What is the value of 86 - 76 - (3 - 1)?
8
What is (-1 - -2) + -14 - (-481 + 493)?
-25
Calculate 123 + -120 - (0 + -4).
7
Evaluate (5 - 44 - -27) + (4 - 1) + 0.
-9
2 - (-2 + 2) - 0 - (2 + 4)
-4
What is the value of (18 + -30 - -7 - (3 + 0)) + 35?
27
Evaluate (-6 + 1 - (143 - 125) - -11) + 0.
-12
Evaluate -8 + 0 - (2 + -19 + 2).
7
-42 + 84 + -21 - 50
-29
Calculate -2 + -1 + -5 + (-5 - -17).
4
What is the value of -31 + 9 + -3 + -8 + 6 + 5?
-22
What is (9 - (-6 - 1)) + -25?
-9
(176 - 177) + (0 - 2 - 1)
-4
Evaluate (-37 - -32) + (2 - 0).
-3
Calculate 6 + (17 - (8 + 0 - -5)).
10
Calculate 86 + -60 - (3 - (4 + -11)).
16
16 + 10 + -4 + -14
8
What is 4 + 11 - (-27 + 45)?
-3
7 + 34 + -14 + 2
29
Calculate (-22 - (-28 + 30)) + 4.
-20
What is the value of 18 + (-115 - -120 - (1 + 2))?
20
Calculate 1 + (-15 - (13 + -37)).
10
Evaluate -7 + -2 - (80 + -90) - -24.
25
Calculate 4 + -1 + 31 + -31.
3
Evaluate 29 - (7 + 23 + -21).
20
(1 - (1 - 2)) + (-59 + 5 - -40)
-12
10 - (-8 + 15 - -7)
-4
Evaluate -8 + -18 + -60 + 97.
11
What is the value of 216 + -244 - (-16 + -1)?
-11
-8 - (2 + -5 - -8) - (1 - -7)
-21
-7 - (-24 - (-1 + -17) - (-2 + 5))
2
What is the value of 4 + 8 + -4 + 0 + -11?
-3
Calculate -29 + 5 - (-4 - 12 - -17).
-25
What is (-1 - 7) + 24 + (1 - 45)?
-28
What is the value of 1 + (14 - ((-10 - -14) + 0))?
11
Evaluate -1 + 8 + -5 + -11 + 4 + -1.
-6
What is 1 + -3 - (-35 - 3) - (65 - 54)?
25
What is -6 - (1 + -4 + -4 + -5 + 13)?
-7
Evaluate (-9 + -16 - -8) + 16.
-1
Calculate (-29 - -18 - -9) + 12 + -1.
9
What is the value of 12 - (7 - -7 - 9) - (3 - 4)?
8
What is the value of 3 + 9 + (-7 - 1) + 5?
9
Calculate -21 + 20 + 3 - (-5 - (1 - -1)).
9
What is the value of (0 + 5 - (8 + 10)) + 2 + -1?
-12
Evaluate -14 - (4 + -16 + 0).
-2
Calculate (-6 - 7 - -9) + -1 + -1.
-6
What is 0 + (-8 - -2) - ((51 - 107) + 69)?
-19
What is the value of -7 - (0 - (2 + 5 + -61 + 43))?
-18
What is -18 + (18 - 0) + (-6 - 22 - -19)?
- | {
"pile_set_name": "DM Mathematics"
} |
2*d = -20, 3*x + 8 = -2*d + 4*d. Let h be y(x). Let v be 9 + -8 + (16 - h). What is the greatest common factor of v and 90?
18
Let l = 97 - 20. Suppose 72 = -8*v, 69*c + v = 66*c + 1608. Calculate the greatest common divisor of c and l.
77
Let p = 352 + -388. Let q be (3/6)/((-2)/p). Calculate the greatest common divisor of q and 27.
9
Let d(u) = 744*u**2 + 58*u + 284. Let m be d(-5). Calculate the greatest common factor of m and 6.
6
Let o(y) = 168*y**2 - 5*y - 4. Let g be o(-1). Suppose -2*n + 77 = 3*n + 4*x, -11 = -2*n + 5*x. What is the greatest common divisor of n and g?
13
Let k be (4/(-1))/(-4)*156. Let a be 26 + 27 + 4 + 3. What is the greatest common factor of a and k?
12
Suppose 3*b + b - 144 = 0. Suppose 0 = s - 2, -6*l + 7*l - 62 = -4*s. What is the highest common factor of l and b?
18
Let c(i) = -2*i**3 - 4*i**2 + 13*i + 4. Let a be c(-5). Let t = a - 41. Calculate the highest common divisor of t and 3.
3
Suppose -21*h - 11 = -25*h - 3*y, 0 = -3*h - 2*y + 9. Suppose -3*s = -8*a + h*a + 66, 2*s - 16 = -a. What is the greatest common factor of a and 55?
5
Let r(i) = 47*i + 1761. Let z be r(-33). Calculate the greatest common divisor of 154 and z.
14
Suppose -3*s = 12*i - 11*i - 62, 0 = 13*s + 2*i - 243. Let x = -62 - -130. Calculate the greatest common factor of s and x.
17
Let a(r) = 20*r - 239. Let s be a(18). Let x be (528/30)/(3/30*4). Calculate the greatest common factor of s and x.
11
Let t = -4761 + 4946. Calculate the highest common factor of t and 135.
5
Suppose 4*v - 654 = -150. Let x be 1*(v - -3) - -1. Let q = x - -25. What is the greatest common factor of 62 and q?
31
Suppose -38 = -2*c + 2*r, -4*r + 2*r = 4*c - 88. Let o = -19 + c. Suppose -5*l = -15, -p + 219 = o*p + l. What is the greatest common factor of p and 18?
18
Let l(j) = -j**3 + 72*j**2 - 64*j + 70. Let b be l(71). What is the greatest common divisor of 28 and b?
7
Let y be 1819/51*(76 + 14). Calculate the greatest common divisor of y and 1712.
214
Suppose 0 = -7*x + 6023 + 14886. Calculate the highest common divisor of 412 and x.
103
Let t(i) = 2*i**2 + 5*i - 6. Let q be t(2). Let z(l) = -l**3 + 12*l**2 - 2*l + 1. Let k be z(q). Let n = 28 + k. What is the highest common factor of 5 and n?
5
Let u = -642 - -733. Calculate the highest common factor of 13 and u.
13
Suppose -1212 - 7608 = -7*i. Suppose 4*u - i = -1020. Calculate the highest common divisor of u and 160.
20
Let a(i) be the first derivative of i**2/2 + 55*i - 14. Let d be a(-13). What is the greatest common divisor of d and 70?
14
Let m = -8309 + 9379. What is the greatest common divisor of 30 and m?
10
Let i be 2 + (-5)/((-5)/(-43)). Let n = -16 - i. Let a = 683 + -583. Calculate the highest common divisor of a and n.
25
Suppose 0 = 33*g - 14*g - 4104. Let v = 242 - g. Calculate the greatest common factor of v and 52.
26
Suppose 2*u = -5*f + 5252, -101*f + 5247 = -96*f - 3*u. Calculate the highest common divisor of 546 and f.
42
Let y(a) = -8*a + 58. Let m be y(5). Suppose 0*f - f = -34. Let k = f - m. What is the greatest common factor of 48 and k?
16
Let l(s) = -2*s**2 - 43*s - 5. Let r be l(-21). Let g = 102 - 86. What is the highest common factor of g and r?
16
Suppose 18*a - 50 = 13*a. Suppose -5*n = -a*n + 10. Suppose 2*y = l - 11, 29 = 4*l + y - 6*y. Calculate the highest common divisor of n and l.
1
Let k(g) = 2*g**3 - 3*g - 7. Let u be k(4). Let d = u + -25. Suppose -d = -5*i + 86. What is the highest common factor of i and 102?
34
Suppose -2*f = -18*f + 672. Let l be 43/5 - f/(-105). Calculate the greatest common factor of 90 and l.
9
Let r(g) = -4*g**3 + 26*g**2 - 12*g + 8. Let z be (-1 - (0 + -13))*(-1)/(-2). Let h be r(z). What is the greatest common divisor of h and 72?
8
Let c = -234 + 620. Suppose -376*n + c*n = 170. Calculate the highest common factor of 391 and n.
17
Let i be -11 - (-2 + 6 - 0). Let q be 3*((-70)/i)/7. Suppose -30 = 3*w - 39. Calculate the highest common divisor of q and w.
1
Let f(v) = 5*v - 9. Let l be f(6). Suppose 4*c - 899 = 845. Suppose 1507 = 17*d + c. Calculate the greatest common divisor of l and d.
21
Let s be -18 - -17 - (128968/(-12) - 18/27). What is the greatest common divisor of s and 44?
11
Let k = -4480 - -4965. What is the greatest common divisor of k and 15?
5
Let q be (2975/(-300) - -10)*12. Calculate the highest common factor of 1126 and q.
1
Let b(a) = -18*a**2 - 6*a - 12. Let d(q) = 18*q**2 + 5*q + 11. Let t(o) = 2*b(o) + 3*d(o). Let p be t(3). Calculate the highest common factor of 9 and p.
9
Suppose 4*w - 10*y + 5*y + 90 = 0, -w = 4*y + 33. Let a be 5 - 5/(w/20). Calculate the highest common factor of 3 and a.
3
Suppose -19*c + 4807 = -19741. What is the greatest common factor of c and 57?
19
Let x = -3 + -100. Let l = -124 - x. Let p be ((-1434)/(-14) - -1) + (-12)/l. Calculate the highest common divisor of 26 and p.
26
Suppose 3*g + 81 - 90 = 0. Suppose g*r - 1112 = 2*p, 2*r - 733 = -p + 4*p. What is the highest common factor of r and 22?
22
Let o be 678/9 + 4/6. Suppose 0 = 2*z + 3*b - 11, 14*z - 13*z - 1 = 3*b. Calculate the greatest common factor of o and z.
4
Let i(b) = 2*b**3 + 16*b**2 + 52*b + 15. Let n be i(11). Calculate the highest common divisor of 51 and n.
17
Let l(s) = 41*s**2 + 2*s. Let y be 30/75*10/2. Let k be l(y). Calculate the highest common divisor of 21 and k.
21
Suppose -4*b + 452 - 148 = 0. Suppose 8 = 3*x - x. Let w(m) = m**3 + 5*m**2 - 12*m + 18. Let j be w(x). Calculate the highest common factor of j and b.
38
Let b(w) = -7 - 8*w**3 - 10*w - 13 + 25 - 3*w**2 - 19. Let y be b(-3). Calculate the highest common factor of 123 and y.
41
Let x(n) = -3*n + 29. Let k be x(10). Let l be 0 - (-4 - 2/k)*2. Calculate the greatest common factor of 32 and l.
4
Let j be 7*(82 - -2*(8 + -4)). Calculate the greatest common factor of 336 and j.
42
Let s be (-12 - -289) + -9 + 8. Calculate the greatest common divisor of s and 84.
12
Let u(m) = 10 + 18*m**2 - 6*m + 4*m - 15*m**2. Let s be u(7). What is the highest common divisor of s and 26?
13
Suppose -4*o + 99 = 83. Suppose 4*n = 4*y + 24, -4*n + 18 = -2*n + 4*y. Suppose n*f - 136 = 144. What is the highest common factor of o and f?
4
Suppose 47*t - 5485 + 1913 = 0. Let l(a) = -3*a - 10. Let s be l(-6). Calculate the highest common divisor of t and s.
4
Suppose -5*a + 117 = -2*a. Let c(p) = 236*p**2 - 269*p + 267. Let i be c(1). What is the greatest common factor of a and i?
39
Suppose 5*g = -5*g. Suppose 4*c - f = 4, g = -2*c - 3*f + 18 - 2. Suppose 11*m = c*m + 36. Calculate the highest common divisor of 36 and m.
4
Let t(s) = -s**3 + 4*s**2 - 4*s + 6. Let c be t(3). Let n be (-2880)/42 - c/7. Let x = -62 - n. What is the highest common factor of x and 28?
7
Let k be (2 - (8 - 3)) + 32*(-8)/(-32). What is the highest common factor of 27 and k?
1
Let h = 3457 - 3423. What is the greatest common factor of h and 1819?
17
Let i(y) = -y**2 - 14*y - 4. Let n = -14 + 1. Let q be i(n). Suppose v = -r + 47, -5*v = -r - 0*r + 35. What is the greatest common factor of q and r?
9
Let o = 15313 - 14893. Calculate the greatest common divisor of o and 175.
35
Let b = 4050 + -3204. Calculate the highest common divisor of 18 and b.
18
Let n(j) = 3*j**3 - j**2 + j - 5. Let v be n(2). Suppose 1556 - 6639 = -13*r. Calculate the highest common divisor of r and v.
17
Suppose 5*c + v - 3722 = 0, -1478 = 200*c - 202*c + 5*v. What is the highest common factor of c and 384?
24
Let c(h) be the first derivative of 13*h**3/3 + 3*h**2/2 - h - 1. Let y be c(-2). What is the greatest common factor of y and 3?
3
Let u(l) = -7*l - 70. Let d be u(-8). Let a(g) = -2*g**2 - 31*g + 21. Let x be a(d). Calculate the highest common factor of x and 147.
21
Let w(o) be the second derivative of -o**5/20 + 11*o**4/12 + o**3/3 - 11*o**2/2 + 5*o - 2. Let g be w(11). What is the greatest common factor of g and 275?
11
Suppose 0*i - 3*i = -294. Let g = -90956 - -91026. Calculate the greatest common factor of g and i.
14
Let g be ((-660)/(-75) - 1) + 4/(-5). Calculate the greatest common divisor of 812 and g.
7
Suppose v + 5*i - 7 = -4, -5*v + 15 = 4*i. Suppose -4*r + 4*t + 13 + v = 0, 2 = 2*r - 4*t. What is the highest common factor of 2 and r?
1
Let f = -21 - -24. Let u(y) = 8 + 0*y + 3*y - 5*y + f*y. Let w be u(4). | {
"pile_set_name": "DM Mathematics"
} |
= -902 - f. Calculate the greatest common divisor of z and 26.
26
Let r be (-6 - 13)/(-1 + 2). Let n(k) = k**3 + 19*k**2 - 8*k - 8. Let o be n(r). Calculate the highest common divisor of o and 18.
18
Suppose -162*n + 149*n + 130 = 0. Calculate the greatest common divisor of 850 and n.
10
Let p(w) = -w**3 - 2*w**2 + 2. Let q(j) = 5 + j + 2 - 3 - 1. Let x be q(-7). Let a be p(x). What is the highest common divisor of 51 and a?
17
Suppose t - 71 = 3*p, -2*t + 3*p - 45 = -199. Let l = 91 - t. What is the highest common factor of 32 and l?
8
Suppose -26 - 34 = -2*i. Suppose t + w - 4*w = i, 3*t = 2*w + 55. What is the highest common divisor of 6 and t?
3
Let y = -787 + 2282. Calculate the highest common divisor of y and 115.
115
Suppose 0 = -60*p - 38 + 878. What is the greatest common factor of p and 1561?
7
Let u be 881 - 86 - (-9 - 1). What is the greatest common divisor of 70 and u?
35
Let z(t) = t**2 - 11*t + 14. Let n = 25 - 15. Let p be z(n). What is the greatest common divisor of 16 and p?
4
Suppose 3*c - 4*i = 375, -182 + 796 = 5*c - 3*i. Let m = 20 + -9. Calculate the highest common factor of m and c.
11
Let l be -4 + 8 + 1 + 0/(-5). Let w(y) = -y**3 + 0 + 6 - 5*y + 6*y**2 + 1. Let q be w(l). What is the greatest common factor of q and 21?
7
Let h(p) = -2*p + 27. Let d be h(0). Calculate the highest common divisor of 459 and d.
27
Suppose -5*x + 74 = -6. Suppose 4*t = -z - 6 - 1, 5*z + t = 3. Calculate the greatest common factor of z and x.
1
Let u be 20/((-4)/(-2))*2. Let r be (5 - (-19)/(-5))/((-3)/(-10)). Suppose 5*o = r*h + 28, -2*o = -0*o - h - 10. Calculate the highest common factor of o and u.
4
Let u = -56 + 140. Suppose -4*x - 2*x + 354 = 0. Let w = x - 47. What is the greatest common factor of u and w?
12
Suppose 4*h - 2*t - 135 - 79 = 0, -5*h + 4*t + 260 = 0. Let c be ((-4)/(-8))/(2/h). Suppose 9*n + 11 = 137. Calculate the greatest common factor of n and c.
14
Let o be 2*84/(-8)*-15. Calculate the greatest common divisor of o and 70.
35
Let z = -448 - -523. Calculate the greatest common factor of z and 150.
75
Suppose 63 = 4*h - 117. Suppose -h = -3*d - 12. Let l be (-9)/12 - (-14)/((-336)/(-2130)). Calculate the greatest common factor of l and d.
11
Let l = -232 - -244. Calculate the highest common divisor of l and 96.
12
Suppose 0 = 4*y + 2*x - 10, 6*y - 4*x - 45 = y. Suppose -y*k + 45 = -55. Let i = -4 - -9. What is the greatest common factor of k and i?
5
Suppose -3*c + 31 = u - 23, 4*u = -4*c + 200. Suppose -u = -r - r. Let l(g) = -g + 3. Let k be l(-3). Calculate the highest common factor of k and r.
6
Suppose -2*v - 49 = -1. Let f = v + 35. What is the highest common factor of f and 121?
11
Let c be 20 + (0 - -12) + (-4)/2. What is the highest common divisor of c and 810?
30
Let y be -27 - -2 - (0 + 2). Let o = y - -45. What is the highest common factor of 6 and o?
6
Let m = 367 + -87. Calculate the highest common divisor of m and 40.
40
Let t = -12 + -31. Let j = -144 - -291. Let p = j + t. What is the greatest common factor of 26 and p?
26
Suppose 471 = 75*d - 504. Suppose 0 = -2*u + u + 143. What is the greatest common factor of d and u?
13
Let m be 3/(29268/3249 + -9). What is the highest common factor of 57 and m?
19
Let a = 2333 - 2305. What is the highest common factor of a and 92?
4
Suppose -3*w = -5*w + 1408. Suppose 0*k = -8*k + w. What is the greatest common factor of k and 11?
11
Let z = 378 - 140. What is the greatest common factor of z and 102?
34
Suppose -4*x = -4*g + 16, -g - 11 + 0 = -4*x. Let i = 9 - g. Suppose -4 = -4*v - i. Calculate the greatest common divisor of 1 and v.
1
Let n be 84/(-7)*11/(-3). Let a = 36 + n. What is the greatest common divisor of 16 and a?
16
Suppose -4*o = -m - 63 - 32, -2*o - m = -43. Suppose 4*f = o + 13. Suppose 3*h + 6*g = g + 29, -h - g + 13 = 0. Calculate the highest common divisor of f and h.
9
Let c = -7 - -18. Let n = 67 - c. Calculate the highest common divisor of 14 and n.
14
Let a(l) = l**3 - 8*l**2 - 11*l + 21. Let z be a(9). Let t be ((-14)/z)/(((-12)/(-198))/(-1)). Calculate the greatest common divisor of 11 and t.
11
Let v = 203 - 185. What is the highest common factor of v and 30?
6
Suppose 0 = -195*t + 178*t + 2006. What is the highest common divisor of t and 531?
59
Let l(u) = 142*u - 828. Let m be l(6). Calculate the greatest common divisor of m and 416.
8
Let j be (6 - 6)/(2 + 0). Suppose j*k = 5*k - 10. Suppose m = y + 2, -m - 2 = k*y - 13. Calculate the highest common divisor of y and 12.
3
Let q = 202 + -189. Suppose 4*j + 0*j + 16 = 0, 2*f + 3*j = 14. Calculate the highest common divisor of q and f.
13
Suppose -5*j + 490 + 190 = 0. What is the highest common divisor of 34 and j?
34
Let n(p) = p + 1. Let w be n(-7). Let j be 368/20 + w/(-10). Calculate the highest common divisor of 38 and j.
19
Let c be 560/(-105)*(-39)/2. What is the highest common divisor of c and 65?
13
Let z be (2 - 6)/((-2)/6). Suppose 3*g = 7*g + 3*h - 16, -h + 4 = g. What is the greatest common divisor of g and z?
4
Let r be (152/(-32))/(1*2/(-8)). Calculate the highest common factor of r and 1197.
19
Let p = 644 - 575. What is the greatest common divisor of 92 and p?
23
Suppose 13*z = 16*z - 6. Suppose z*j - 7*j = 3*a - 911, 2*j - 8 = 0. Let l be 23 - (-1 + -1) - -2. Calculate the highest common factor of l and a.
27
Let u = -34 + 35. Suppose 0 = -3*f + 50 + u. What is the greatest common factor of 136 and f?
17
Let p be (54/1)/((-36)/(-3072)). Calculate the highest common factor of 18 and p.
18
Suppose d = 2*f + 1510, 0 = 2*d - f - 0*f - 3017. What is the greatest common divisor of d and 29?
29
Let y = -129 + 301. Suppose 8*f + y = 492. What is the highest common divisor of f and 16?
8
Let b(r) = -19*r + 127. Let j be b(6). Calculate the greatest common divisor of 169 and j.
13
Suppose -n + 4660 + 3759 = 5*g, 2*g - 2*n = 3358. What is the highest common divisor of g and 99?
99
Let o = 134 - 95. Let b be 1/(2/(-6)*(-3)/1). Let k be (0 + -1)/(81/(-78) + b). What is the greatest common divisor of k and o?
13
Suppose -278 = -2*c + 4*a, 5*c + 3*a - 546 = 188. Let d(u) = -4*u + 14. Let k be d(-11). What is the greatest common factor of k and c?
29
Let y(n) = -6*n - 38. Let q be y(-10). Suppose q*c = 13*c + 45. Let p = 2 + -1. What is the greatest common divisor of p and c?
1
Suppose -p + 9 - 4 = 0. Suppose -4*z + 6*z = p*u - 98, 85 = 4*u + 5*z. Calculate the highest common factor of 40 and u.
20
Suppose 37 = k + 36. Let n be 13*k/(-3)*-3. Calculate the highest common divisor of 13 and n.
13
Suppose -2*y + 0*z = -3*z - 34, -5*y + 62 = 4*z. Suppose w + 4*w - 152 = -2*j, 5*w + 5*j = 170. What is the highest common factor of w and y?
14
Suppose 365*h - 351*h - 308 = 0. Calculate the greatest common divisor of 462 and h.
22
Suppose 5*f - 15 - 25 = 0. Let x be (f/10)/(1/25). What is the greatest common divisor of 8 and x?
4
Suppose -2*s - 60 + 96 = 0. Let r be 163 - 0/(-3) - 1. What is the greatest common divisor of r and s?
18
Let s = -760 + 796. Calculate the highest common factor of 12 and s.
12
Suppose -3*b - 4*k + 1144 = 0, 2*k + 441 = b + 53. Calculate the greatest common factor of 288 and b.
96
Let h = 935 - -281. Calculate the highest common factor of h and 128.
64
Suppose 0 = -3*o + 2*o - 5, 0 = -x - 2*o - 16. Let p be 44/(-6)*9/x. Let u be (78 + -12 - 11) + (2 - 2). Calculate the greatest common divisor of p and u.
11
Let q = -235 + 265. Calculate the highest common factor of 40 and q.
10
Let w be -7*(-5)/(-35)*-26. What is the highest common factor of 26 and w?
26
Let b be (-150)/((-39)/(-104) - (-25)/(-24)). Calculate the greatest common divisor of b and 18.
9
Suppose -2*z + 45 = -63. Let b(x) = x**2 + 5*x + 40. Let j be b(-16). Calculate the greatest common factor of z and j.
54
Let m = 13 + 1. Let j = 26 + m. Let n(l) = -l**2 + 9*l + 5. Let d be n(9). What is the greatest common factor of d and j?
5
Suppose -4*n + 4*t - 102 = -6*n, -3*n + 5*t = -120. Let a = 36 + -33. Suppose -a*k = -25 - 2. Calculate the highest common divisor of k and n.
9
Let s be (3 - 2 - 0)*-25. Let w = s - -18. Let m be (-16)/(-28) + (-122)/w. What is the greatest common divisor of m and 27?
9
Let f be (35 + 4 - 0) + 6 + -3. Calculate the highest common divisor of 98 and f.
14
Let g(m) be the fi | {
"pile_set_name": "DM Mathematics"
} |
e 2?
1
6 (base 8) to base 9
6
What is e8 (base 15) in base 6?
1002
What is 10 (base 5) in base 3?
12
What is 4 (base 16) in base 3?
11
1 (base 12) to base 10
1
Convert -e (base 15) to base 9.
-15
What is -3 (base 14) in base 10?
-3
-2 (base 6) to base 15
-2
Convert -42 (base 12) to base 3.
-1212
1001110 (base 2) to base 14
58
Convert 0 (base 5) to base 6.
0
-a (base 12) to base 10
-10
What is -13 (base 11) in base 4?
-32
Convert -20 (base 9) to base 3.
-200
1 (base 3) to base 11
1
Convert -14 (base 8) to base 4.
-30
Convert -100122 (base 3) to base 8.
-404
What is 2 (base 5) in base 10?
2
What is -12 (base 16) in base 11?
-17
What is 0 (base 7) in base 10?
0
-1 (base 4) to base 7
-1
-111 (base 7) to base 13
-45
402 (base 6) to base 7
266
-1010 (base 2) to base 4
-22
Convert -1322 (base 5) to base 14.
-112
Convert 1 (base 11) to base 7.
1
-6 (base 16) to base 15
-6
What is -1000100 (base 2) in base 6?
-152
Convert -135 (base 9) to base 16.
-71
Convert -71 (base 9) to base 3.
-2101
What is -10 (base 7) in base 15?
-7
What is 133 (base 7) in base 3?
2201
What is -34 (base 9) in base 15?
-21
What is -84 (base 9) in base 8?
-114
What is -7 (base 14) in base 10?
-7
What is -2 (base 9) in base 11?
-2
Convert -1 (base 3) to base 16.
-1
What is 3 (base 7) in base 12?
3
Convert 4 (base 13) to base 9.
4
What is -73 (base 14) in base 2?
-1100101
What is 7 (base 15) in base 9?
7
Convert 1 (base 12) to base 11.
1
What is -2112 (base 4) in base 5?
-1100
Convert 54 (base 7) to base 13.
30
Convert 22 (base 6) to base 10.
14
Convert -25 (base 8) to base 11.
-1a
What is -140 (base 10) in base 7?
-260
Convert -1 (base 4) to base 2.
-1
What is -7 (base 14) in base 5?
-12
Convert -11 (base 4) to base 11.
-5
-1 (base 2) to base 12
-1
What is -129 (base 13) in base 8?
-314
Convert 212 (base 5) to base 14.
41
-9 (base 15) to base 14
-9
66 (base 8) to base 12
46
Convert -13 (base 9) to base 13.
-c
What is -2 (base 3) in base 8?
-2
Convert 2 (base 16) to base 12.
2
113 (base 4) to base 7
32
Convert -112 (base 4) to base 14.
-18
-421 (base 6) to base 2
-10011101
Convert 6 (base 14) to base 2.
110
Convert 9 (base 14) to base 3.
100
Convert -ab (base 13) to base 2.
-10001101
Convert -141 (base 10) to base 3.
-12020
Convert -226 (base 8) to base 14.
-aa
What is -3 (base 8) in base 4?
-3
10 (base 6) to base 4
12
Convert 1 (base 11) to base 6.
1
11010000 (base 2) to base 9
251
Convert 21 (base 12) to base 4.
121
What is -3 (base 6) in base 5?
-3
What is -70 (base 12) in base 15?
-59
What is -13 (base 12) in base 2?
-1111
52 (base 6) to base 12
28
-2 (base 15) to base 12
-2
-11 (base 14) to base 4
-33
Convert -210 (base 4) to base 12.
-30
101 (base 3) to base 4
22
What is b0 (base 13) in base 6?
355
1 (base 15) to base 6
1
Convert -3 (base 9) to base 11.
-3
What is 53 (base 16) in base 8?
123
64 (base 13) to base 9
101
What is -15 (base 7) in base 13?
-c
What is c (base 16) in base 9?
13
Convert -131 (base 6) to base 13.
-43
1303 (base 4) to base 5
430
-14 (base 13) to base 10
-17
What is 13 (base 9) in base 12?
10
What is -43 (base 9) in base 11?
-36
14 (base 5) to base 12
9
Convert 231 (base 7) to base 10.
120
Convert 39 (base 14) to base 8.
63
What is -2 (base 14) in base 3?
-2
Convert -41 (base 9) to base 14.
-29
2210 (base 4) to base 5
1124
Convert -3 (base 4) to base 5.
-3
Convert -46 (base 11) to base 16.
-32
What is 34 (base 6) in base 9?
24
What is 15 (base 10) in base 15?
10
1 (base 13) to base 8
1
Convert 85 (base 10) to base 16.
55
Convert 15 (base 12) to base 9.
18
Convert -1a0 (base 14) to base 13.
-1cb
35 (base 10) to base 2
100011
What is -20 (base 9) in base 3?
-200
What is -2 (base 16) in base 6?
-2
What is -111121 (base 3) in base 7?
-1033
Convert -5 (base 6) to base 2.
-101
-14 (base 9) to base 10
-13
Convert 63 (base 12) to base 14.
55
6 (base 16) to base 9
6
-225 (base 9) to base 4
-2321
22 (base 4) to base 11
a
-11 (base 2) to base 5
-3
What is -2 (base 14) in base 5?
-2
-3 (base 11) to base 3
-10
What is 67 (base 16) in base 12?
87
-7 (base 11) to base 10
-7
116 (base 8) to base 6
210
What is 5 (base 10) in base 7?
5
-4 (base 9) to base 15
-4
-1 (base 6) to base 11
-1
Convert 2 (base 14) to base 15.
2
What is 94 (base 12) in base 14?
80
Convert 11 (base 10) to base 7.
14
What is 20 (base 8) in base 10?
16
-4a (base 15) to base 9
-77
What is 412 (base 6) in base 11?
129
Convert -55 (base 7) to base 2.
-101000
What is -4 (base 8) in base 7?
-4
-200 (base 3) to base 7
-24
125 (base 7) to base 12
58
23 (base 4) to base 10
11
Convert 117 (base 14) to base 8.
331
What is 100010 (base 2) in base 16?
22
Convert 30 (base 16) to base 9.
53
2 (base 11) to base 8
2
What is 6 (base 8) in base 7?
6
Convert 2d (base 14) to base 11.
38
Convert -140 (base 9) to base 7.
-225
What is -3 (base 14) in base 3?
-10
0 (base 2) to base 10
0
-232 (base 11) to base 10
-277
Convert -96 (base 14) to base 3.
-11220
What is -4 (base 15) in base 12?
-4
Convert 3 (base 6) to base 12.
3
Convert 1003 (base 5) to base 13.
9b
-8 (base 15) to base 12
-8
Convert 7 (base 13) to base 6.
11
Convert -210 (base 4) to base 14.
-28
-6 (base 10) to base 7
-6
What is -1 (base 6) in base 5?
-1
What is 16 (base 14) in base 12?
18
-1a (base 13) to base 10
-23
23 (base 12) to base 9
30
What is 0 (base 15) in base 6?
0
Convert 0 (base 4) to base 7.
0
-4a (base 11) to base 2
-110110
1001111 (base 2) to base 13
61
What is 12 (base 5) in base 2?
111
-101100 (base 2) to base 7
-62
Convert -69 (base 10) to base 7.
-126
-2 (base 8) to base 6
-2
-2 (base 12) to base 2
-10
0 (base 6) to base 7
0
What is 10 (base 3) in base 13?
3
Convert 6 (base 12) to base 15.
6
Convert 12 (base 16) to base 15.
13
-1 (base 13) to base 3
-1
Convert 12 (base 13) to base 3.
120
Convert -53 (base 8) to base 6.
-111
What is -4 (base 14) in base 8?
-4
What is 120 (base 3) in base 16?
f
2102 (base 3) to base 16
41
21 (base 5) to base 2
1011
Convert 1010 (base 2) to base 3.
101
What is -356 (base 8) in base 7?
-460
Convert 10 (base 3) to base 11.
3
What is 31 (base 12) in base 13?
2b
Convert b (base 12) to base 10.
11
5 (base 8) to base 11
5
What is 2002 (base 3) in base 12?
48
-52 (base 9) to base 12
-3b
-46 (base 7) to base 10
-34
110 (base 6) to base 2
101010
Convert -3 (base 12) to base 14.
-3
Convert 9c (base 16) to base 5.
1111
Convert -3 (base 16) to base 4.
-3
0 (base 4) to base 11
0
What is 122 (base 12) in base 10?
170
0 (base 9) to base 2
0
What is -204 (base 5) in base 3?
-2000
6 (base 8) to base 10
6
What is 34 (base 9) in base 8?
37
1002 (base 3) to base 4
131
56 (base 16) to base 10
86
Convert 2 (base 10) to base 8.
2
4 (base 10) to base 15
4
Convert -145 (base 7) to base 8.
-122
-1100010 (base 2) to base 6
-242
What is 4 (base 7) in base 3?
11
What is -6 (base 13) in base 2?
-110
-16a (base 14) to base 8
-442
What is -2 (base 9) in base 10?
-2
What is -10b (base 15) in base 14?
-12c
-242 (base 6) to base 11
-8a
Convert -1 (base 5) to base 11.
-1
What is -8 (base 11) in base 3?
-22
Convert -3 (base 6) to base 7.
-3
What is -3 (base 13) in base 2?
-11
-1 (base 8) to base 11
-1
What is -347 (base 9) in base 12?
-1ba
-200 (base 4) to base 10
-32
-5 (base 11) to base 4
-11
12 (base 10) to base 14
c
Convert -3 (base 14) to base 5.
-3
-8 (base 15) to base 2
-1000
What is 2b (base 12) in base 8?
43
What is 22 (base 7) in base 4?
100
-6 (base 16) to base 13
-6
2 (base 5) to base 6
2
What is -a (base 12) in base 16?
-a
What is 1 (base 5) in base 8?
1
Convert -3 (base 6) to base 10.
-3
2 (base 11) to base 12
2
What is 5 (base 9) in base 16?
5
Convert 300 (base 4) to base 16.
30
Convert 2120 (base 4) to base 2.
10011000
Convert 9 (base 16) to base 7.
12
Convert -7 (base 13) to base 4.
-13
-4 (base 5) to base 8
-4
What is 16 (base 14) in base 13?
17
-d (base 14) to base 7
-16
Convert -32 (base 6) to base 12.
-18
-5 (base 12) to base 16
-5
-7a (base 14) to base 7
-213
What is a (base 11) in base 14?
a
20 (base 4) to base 6
12
Convert -5 (base 6) to base 14.
-5
Convert 140 (base 5) to base 13.
36
-165 (base 8) to base 2
-1110101
What is 3 (base 8) in base 7?
3
Convert -2 (base 12) to base 9.
-2
-104 (base 9) to base 12
-71
140 (base 5) to base 9
50
ae (base 16) to base 5
1144
Convert -212 (base 7) to base 10.
-107
Convert 27 (base | {
"pile_set_name": "DM Mathematics"
} |
s for q.
-3
Let h(o) = -57 + 15*o + 26*o - 74*o + 21*o. Let d be h(-5). Solve 2*w = a + 4, d*w + 5*a = 2 + 17 for w.
3
Let x be (3/(-6))/1 - 95/(-2). Let l = x - 47. Suppose l = -5*p + 2*p + 9. Solve 22 = -5*a + a - 3*g, 0 = -3*a - p*g - 18 for a.
-4
Let o(j) be the first derivative of -3*j**4/4 - j**2/2 + 4*j - 78. Let p be o(0). Solve 40 = -5*v - p*y, y + 9 = -4*v - 12 for v.
-4
Suppose 4*j + 15 = 5*b, -4*b - 33 = -4*j - 45. Solve 4*c = -16, j = -3*r - 3*c - 6 for r.
2
Let a be (-2 - 0) + (20 - 0 - -2) + 0. Solve 5*h = -2*r + 8, 0 = -h + 4*r + r - a for h.
0
Let q(j) = 2*j**3 - 12*j**2 - 9*j - 4. Let f be q(7). Suppose -82 = -f*t + 11. Solve 26 = -4*y - 0*g - 3*g, 3*y = t*g - 9 for y.
-5
Let b(g) = 5*g**2 - 224*g + 977. Let j be b(40). Solve 7 = y - 31*z + 33*z, y + j = 4*z for y.
-1
Let d be 4203/(-3) - (-4 - -3). Let r be (d/(-12))/7 + 2/(-3). Suppose 0*i - 4*b = i - r, -2*b = -2. Solve -3*y + i = 4*u, -3*u = -4*u - 4*y + 16 for u.
0
Suppose l - 34 = -2*f, -l - 34 = -2*f + 3*l. Let p = -11 + f. Solve 3*a = -u + 13, -u + p*u + 5*a = 15 for u.
-2
Let b be (((0/(-3))/4)/1)/(-1). Suppose b = -13*y + 17 + 22. Solve s - 6 = -4*r, 4*r - y*s + 3 = r for r.
1
Let u be 0*(-4 - -3) + 0. Let l = -1238 - -793. Let v = l - -445. Solve u = -5*f - 10, d + v*d + 2*f = 0 for d.
4
Let y = 358341 - 358337. Let i = -5 - -2. Let z(n) = n + 3. Let p be z(i). Solve 3*f - y*q - 11 = p, q = -3*f - 6 + 22 for f.
5
Let w be (-14 - -17) + 1 + 59. Suppose 67*u - w*u = 8. Let d(j) = -j**2 + 9*j. Let q be d(0). Solve -a = u*f - q*a - 7, f - 3*a = 14 for f.
5
Let z = 20 - 6. Suppose -20*d - 102 = -3*d. Let g be (-3)/d*(-2 + 3*2). Solve 0 = -p + 4*v - z, 3*p - v = g for p.
2
Suppose -24*j = -26*j + 30. Suppose -35 = -5*d - j. Let y be d/(-6)*(26 + -29). Solve -q = -4*g + y*q - 28, -g = -3*q + 16 for g.
-4
Suppose -142*v + 702 + 203 = 39*v. Solve -52*h + 55*h - 8 = -2*b, -v*b - 6 = h for h.
4
Let h(a) = 16 + a - 2 + 0. Suppose -16*j - 20 = i - 18*j, -i + j = 16. Let o be h(i). Solve -5*m = -3*p + 4, o*m - 3*p = -4*p + 5 for m.
1
Let p be -2*(-5)/2 - -1. Suppose 26*w + 3*b + 2806 = 30*w, -2*b = -4*w + 2804. Let z be (-6)/5*w/(-210). Solve -4 = 2*j, 2*u - z*j - p - 10 = 0 for u.
4
Suppose 0 = 66*z - 72*z + 18. Solve -4*p + 17*m = 16*m - 11, 0 = -2*p + z*m + 3 for p.
3
Suppose 4*y + 5*r - 44 = 0, 2*y - 5*r - 37 - 15 = 0. Let s = -35 + 37. Solve 3*o = -j - y, -s*j - 4*o - 36 = 3*j for j.
-4
Let k be (-6)/9 - (-336)/18. Suppose -18 + k = 18*v. Solve 5*a - l = -v*l, 5*l + 20 = 5*a for a.
-1
Let b(u) = -u**3 - 79*u**2 - 78*u. Let z be b(-78). Solve -4*f - 17 = 4*n - 5, 5*f = z for n.
-3
Suppose -33*x + 184 = 13*x. Solve 40*k = 43*k - b + 1, 4 = -5*k + x*b for k.
0
Let p(u) = -3*u + 68. Let f be p(21). Suppose 265 = f*c + 250. Solve 4*a + 41 = -5*r, r - 22 = c*r + 3*a for r.
-5
Let x = 12423 - 12422. Solve 3*k + 22 = 2*n, 5*n = -5*k + 6 - x for k.
-4
Let i be (-135)/9 - -7 - -10. Suppose i*r = -2*r - 5*c + 25, -r + 4*c = 20. Solve -8*d = -2*m - 11*d - 5, -3*m - 3*d - 6 = r for m.
-1
Let o(n) = -n**2 - 402*n - 8357. Let a be o(-22). Let z be 10*2/(8/2). Solve 5*c = 5*g - z, -g - c - a = -4 for g.
1
Let z(o) = -2*o + 2*o + 8*o - 5 + 27. Let w be z(-3). Let k be (-2)/w*5 + 1 + -2. Solve k*g = 2*m - 5*m + 2, -10 = -2*g + 3*m for g.
2
Let g(b) = 2*b**2 - 75*b + 569. Let x be g(27). Solve -x*r - 4 = 0, 0 = 37*v - 42*v - 2*r - 29 for v.
-5
Suppose 2*l = 2*s + 12, -2*l - 4*s - 1 = -13. Solve a - 17*t - 10 = -13*t, l = -3*t for a.
2
Suppose -2 = -x - g + 4*g, -2*x = 5*g - 15. Suppose -n + 3 = -3*b, 5*b = -3*n + 7*n - x. Solve -3*v - 3*u + 18 + 0 = 0, -5*v + 4*u - 6 = n for v.
2
Suppose 0 = -527*t + 532*t - 10. Solve -5*z + 5*s - 5 = 0, 0 = 7*z - t*z + 5*s - 5 for z.
0
Let w(s) = -s**3 + 11*s**2 - 2*s - 179. Let z be w(7). Suppose 4*y = -2*r + 28, 3*y = r - 12 + 3. Solve z*h - 5*q + 14 = -r, 4*h + 3*q - 4 = 0 for h.
-2
Let i(d) = -7*d - 9. Let l(z) = -z**2 - 4*z + 17. Let t be l(-6). Suppose 7*o = t*o - 4. Let q be i(o). Solve -5*h - q = c - 26, 5 = h for c.
-4
Suppose o - 11 = 4*o + 5*w, o - w - 7 = 0. Suppose -g + 256 = -3*g. Let i be -4 - g/((-4)/(-1)). Solve i = 4*v - 3*q, -q = 4*v + o*q for v.
4
Let p = -58 - -58. Suppose p = -95*z + 100*z - 35. Solve 4*u = g - 15, -2*u = 2*g + 3 + z for u.
-4
Let i be (220/132)/((-25)/(-30)). Solve 5*u + 114 - 138 = -i*j, 16 = 4*u for j.
2
Let k = 74 + -51. Suppose 4*a + a = 5*c + 85, -5*c + k = 4*a. Let t be a/(-8) + 88/16. Solve -5*x + t*j = 25, 0 = -x - x - j - 10 for x.
-5
Let m be -2*1/(-4)*0. Suppose -6*o - 42 = -20*o. Let f be -15*(-5 - (-14)/o). Solve -4*y - 16 = m, 4*y = -f*j - 8 - 23 for j.
-3
Suppose 4*t = -271 + 283. Solve q - x = 8, t*q + x = 6*q - 14 for q.
3
Suppose 3*n - 315 - 375 = 0. Let g = n + -227. Solve -g*s - h + 1 = 0, -3*h + 0*h = 5*s - 7 for s.
-1
Suppose -871 = -22*x - 695. Solve 5*w = g + x, 2*w - 2*g = 5*w + 3 for w.
1
Let q(d) = d**3 - 44*d**2 + 83*d + 44. Let c be q(42). Suppose 3*o + c*a - 22 = 0, -5*a = 7*o - 12*o - 5. Solve -o*z - 2*i = -4, z - 7 = -5*i + 12 for z.
-1
Let r be -19 - 144/(-3) - 24/3. Solve -4*q + 24 = -8*q + 4*i, q - 4*i + r = 0 for q.
-1
Let m(y) = -3*y + 15 + 41*y**2 - 9*y + y - 42*y**2. Let b be m(-12). Solve -b*n - 4 = -5*g, 0 = -3*g - n + 3*n + 3 for g.
-1
Suppose -t - 2*z = 6, 1 - 10 = t + 5*z. Suppose -36 = -3*d - 2*r, -d = d + 5*r - 13. Let f be 42/d*t/(-3). Solve 2*b = 5*x - 14, -f*b = 4*x - 7*b - 7 for x.
4
Suppose 2*f - 5*n = 53, -n + 29 + 8 = 3*f. Let y(h) = -h + 13. Let w be y(f). Let q be -3 + (11 + w - 2). Solve -3*d - 3*o + 9 = 0, -6*o + 3*o = -d - q for d.
1
Let p = 3341 + -3334. Solve -4*f + 5*q = -3*f - 28, 0 = 4*f + q - p for f.
3
Let o be (4*1)/((18/3033)/(-1)). Let v = o + 678. Solve 0 - 7 = -3*y + 5*n, 2*n = -v for y.
-1
Let v be 1632/432 + 2/9. Solve -5*g - b + 4*b = 5, v*g - 18 = -2*b for g.
2
Suppose -2*b = -4*b - 5*x + 21, 3*b - 20 = 4*x. Let h(i) = -36 - 26*i + b*i - 6*i**2 + 7*i**2. Let t be h(20). Solve 4*f + 19 = o, 7 = -4*o - t*f - 17 for o.
-1
Let l be 3/6*2*2. Let h(z) = 31*z**2 + 745*z + 51. Let c be h(-24). Solve 0 = 3*u - 5*t - c, -u + l = 2*t + 4 for u.
4
Let k(g) be the first derivative of -5*g**2/2 - 10*g + 1267. Suppose 5*r + 10 = -0*r. Let d be k(r). Solve -x + d*z = -2*z - 6, -3*x - 3*z = 27 for x.
-4
Suppose -2*m = -3*d - 22, 54*m - 1 = 57*m + 4*d. Solve -5*k = -m*i + 15, -22*i = -3*k - 27*i + 31 for k.
2
Let v(k) = 16*k - 382. Let i be v(24). Solve -2*f = z + 7, 0 = -i*z - 9*f + 6*f - 12 for z.
-3
Let w(t) be the third derivative of t**4/8 + 6*t**3 + 1442*t**2. Suppose 27 + 17 = -4*s. Let z be w(s). Solve z*c = 7*c + 5*a + 22, -13 = 5*c - a for c.
-3
Suppose -3*g + 21 = -3*c, -26*g + 5*c = -28*g. Let l be (0 + -2)/(g - (-51)/(-9)). Solve -5*b = 3*v + 17, -3 = -6*v + l*v for b.
-4
Let j be 2/6*(167 - 167). Solve 8 = 6*b - 8*b, -3*t + 5*b + 29 = j for t.
3
Suppose 2*t + 0 = o + 2, 8 = 2*t + 2*o. Solve 2*g + t*k - 4 = 0, -9*k = -g - 12*k + 12 for g.
-3
Let b = -2147 + 2149. Solve -p + k - 3*k = -8, b*p - 5*k = -20 for p.
0
Suppose -5*g + 34 = 29, 0 = 5*r - 11*g - 44. Solve 0 = 4*j - v - 23 + 14, 3*j = 5*v + r for j.
2
Suppose 5*j = -242 - 88. Let b = 14323 + -14381. Let w = b - j. Solve k = -4*u + w, 3*k + u - 5 = 8 for k.
4
Suppose -4*c - 46 = -118. Let u be (110/495)/(1/c). Solve a - u*d = d - 5, 4*d = 5*a + 4 for a.
0
Suppose 5*h = -g + 461, -g - 2*g = 2*h - 174. Suppose 3*t - 3*c = -0*t + h, -t + 37 = -3*c. Solve 8 = -4*l + 2*a, 5*a = -3*l + a - t for l.
-4
Suppose 7*h = -14, 17*v - 14*v - 2*h - 85 = 0. Solve 0 = -i - 4, -2*p - 21 = -4*i - v for p.
-5
Let u = 64 - 62. Let m be 0/(-4 + u) - (0 + -2). Let x be (1 + -2)/((-2)/12). Solve -1 = 3*v + 2, -m*d - 4*v - x = 0 for d.
-1
Suppose -6*h - 589 = -139. Let u = -63 - h. Let x(c) = c**2 - 11*c - 7. Let q be x(u). Solve -2*l = 2*l + 3*o + 21, 3*o - 6 = q*l for l.
-3
Suppose -91*d + 356 = -2*d. Solve -5*q = -10, -2*r = d*q - 7*q - 2 for r.
4
Let n be 3*10 + 102/(-34). Let x be (2 + n/(-6))/(6/(-12)). Solve -2*i - 5*k = -8, -x*k + 6 + 9 = -5*i for i.
-1
Suppose j - 30 = 5*b, -4*j - b + 3*b + 12 = 0. Solve 2*k + 2 = 2*s - j, 4*s = -6*k - 6 for s.
0
Let f = 9859 - 9857. Solve -2*r = 88*p - 91*p - 6, -3*r = p + f for p.
-2
Let x = 69 + 107. Suppose -6 = x*y - 178*y. Solve -y*r = -4*f - r + 6, -4*f - r + 3 = 0 f | {
"pile_set_name": "DM Mathematics"
} |
**2. Determine k(p(i)).
-96*i**4 + 8*i**2
Let q be (-174)/18 + 10/6. Let i(x) = 5 + 7*x**2 + 7*x**2 + 3. Let u(h) = 5*h**2 + 3. Let p(m) = q*u(m) + 3*i(m). Let z(t) = -6*t**2. Calculate p(z(v)).
72*v**4
Let s(p) = -2*p**2 - 4*p - 4. Let f(y) = -y - 1. Let t(v) = -4*f(v) + s(v). Let c be (-9)/6*482/(-3). Let m(r) = 241 + 6*r - c. Give m(t(o)).
-12*o**2
Let j(f) = -15*f**2. Let k(b) be the third derivative of -7*b**4/24 + 2*b**2 + 5. Calculate k(j(c)).
105*c**2
Let r(p) = -5*p + 3*p + 3*p. Let u be (2/3)/(11/(277068/8)). Let v(y) = u*y - 2099*y + 4*y**2. What is r(v(g))?
4*g**2
Let o(y) be the first derivative of -y**3/3 - 9. Let z(i) = 32*i**2. Calculate z(o(r)).
32*r**4
Let f(b) = -5*b. Let p(g) = 14*g**2 - 12*g - 12. Suppose 0 = -y - 24 - 36. Let s(k) = -k**2 + k + 1. Let t(l) = y*s(l) - 5*p(l). Calculate f(t(q)).
50*q**2
Let i(h) = -h. Let g(v) = -30688*v. What is i(g(r))?
30688*r
Let k be 2 + 59/(-2)*-16. Let r(y) = -k + 474 + y. Let s(h) = 5*h**2. What is s(r(v))?
5*v**2
Let z = -593/2 + 297. Let s(r) be the first derivative of 0*r + z*r**2 + 2. Let o(t) = 9*t. What is o(s(g))?
9*g
Let z(p) = -21*p**2. Suppose 0 = -5*m - 4*m + 27. Let d(k) = 8*k - 2*k - 5*k - m*k. Determine d(z(i)).
42*i**2
Let l(d) = -d**2. Let y(o) = 37224*o**2. Determine y(l(i)).
37224*i**4
Let t(k) = -2*k. Let i(h) be the first derivative of -123*h**2/2 - 2*h + 326. What is t(i(j))?
246*j + 4
Let h(w) = 19*w**2. Let j(b) be the first derivative of -56 + 0*b**2 + 4/3*b**3 + 0*b. Give h(j(p)).
304*p**4
Let s(z) = -4*z**2. Let n(j) = 19105*j. Calculate n(s(g)).
-76420*g**2
Let b(o) = -2*o**2. Let q(p) = -11 + 26*p + 36*p + 1 - 61*p. Determine b(q(h)).
-2*h**2 + 40*h - 200
Let x(p) be the third derivative of -p**5/60 - 13*p**3/6 - 24*p**2. Let c(g) be the first derivative of x(g). Let d(u) = 34*u**2. Calculate c(d(h)).
-68*h**2
Suppose 5*z + 10 = -4*b - b, -4*z + 3*b = -20. Let n(w) = -2*w**2 + 7*w**z - w + w. Let l(m) = 175 + m**2 - 175 + 0*m**2. Give n(l(a)).
5*a**4
Let n(h) be the third derivative of 0*h + 0*h**4 + 0*h**3 - h**2 + 0 - 1/60*h**5. Let m(t) = -7*t**2 - t**2 + t**2. Calculate n(m(f)).
-49*f**4
Let x(z) = -3*z + 2*z + 0*z. Let d(u) = -51*u. Let r(k) = 2*k. Let o(c) = 2*d(c) + 54*r(c). Calculate x(o(h)).
-6*h
Let j(q) = q**3 - 3*q**2 + 4*q - 2. Let t be j(2). Let p(h) = -4*h**2 - 2*h**2 + 0*h**t. Let o(g) be the first derivative of 2*g**3/3 + 54. Determine o(p(i)).
72*i**4
Let f(j) be the first derivative of 0*j - 42 - 38/3*j**3 + 0*j**2. Let z(l) = -l**2. Give f(z(u)).
-38*u**4
Let d(z) = -8*z. Let j(o) = 20*o - 61*o + 20*o + 23*o. Determine d(j(f)).
-16*f
Let b(q) = 3*q**2. Let w(f) be the second derivative of 0 + 0*f**2 - 15*f + 1/6*f**3. What is b(w(d))?
3*d**2
Let k(s) = -1139*s. Let o(r) = -2*r**2 - 361. Give k(o(n)).
2278*n**2 + 411179
Let j(z) = -3174*z**2 - 4*z - 1. Let x(c) = -2*c. Determine j(x(n)).
-12696*n**2 + 8*n - 1
Let i(v) = 3*v. Let l(p) be the second derivative of 76*p**4/3 + 68*p - 1. Calculate l(i(q)).
2736*q**2
Let j be (-191 + 191)/(-6 + 1). Let f(h) be the second derivative of -9*h + 0*h**3 + 1/12*h**4 + 0*h**2 + j. Let q(x) = 8*x**2. What is q(f(d))?
8*d**4
Let w(x) = -2*x**2. Let z(k) = 62*k**2 + 11*k - 3. Let r(j) = -31*j**2 - 6*j + 1. Let u(t) = -11*r(t) - 6*z(t). Calculate u(w(m)).
-124*m**4 + 7
Let v(p) = 0*p**2 + 6*p**2 - 2*p**2. Let j(s) = 16*s - 5. Let q(b) = -2*b + 1. Let g(m) = -j(m) - 5*q(m). What is g(v(d))?
-24*d**2
Let t(d) = -d + 7. Let l(b) = -2. Let r(m) = 14*l(m) + 4*t(m). Let c(i) = -142*i - 136*i - 146*i + 413*i. Calculate r(c(a)).
44*a
Let o(c) = -8*c - 6 - 3 + 23 - 8. Let v(f) = 17*f - 13. Let g(b) = -13*o(b) - 6*v(b). Let i(q) = -25*q**2. Give i(g(w)).
-100*w**2
Let d(o) be the third derivative of o**7/1260 - 41*o**5/60 + 6*o**2. Let q(w) be the third derivative of d(w). Let i(a) = a**2 - a**2 - a**2. Determine q(i(t)).
-4*t**2
Let y(o) = -8367*o. Let m(c) = 3*c**2. Calculate m(y(k)).
210020067*k**2
Let n(x) be the second derivative of 11*x**5/30 + 4*x**2 + 2*x + 1. Let z(k) be the first derivative of n(k). Let j(g) = -g. Determine z(j(c)).
22*c**2
Let s(r) = -8*r**2 - 22*r**2 - 5*r**2 - 4*r**2. Let o(y) = -2*y. What is o(s(c))?
78*c**2
Let y(c) = -4*c + 4*c - 23637*c**2 + 23640*c**2. Let i(f) = f - f + 2*f**2. What is i(y(z))?
18*z**4
Let s(c) = -8 + 0*c - c - 7 + 2*c + 9. Let u(q) = -6*q**2. Calculate s(u(b)).
-6*b**2 - 6
Let q(u) be the second derivative of 0 + 0*u**2 - 4*u + 0*u**3 - 25/12*u**4. Let r(w) = -w. Give r(q(s)).
25*s**2
Let r(x) = 200*x. Let d(u) = 174*u + 2. Give r(d(p)).
34800*p + 400
Suppose h + 6 = 8. Let f(s) = -21*s**2 - 16*s**2 + 30*s**h. Let t(n) be the first derivative of -2*n**3/3 - 1. Determine f(t(i)).
-28*i**4
Let u(h) = 49 + 2*h - 218 + 12 + 77. Let m(z) = -z**2. What is m(u(l))?
-4*l**2 + 320*l - 6400
Let r(f) be the third derivative of -f**8/20160 + f**5/30 + 7*f**2. Let k(t) be the third derivative of r(t). Let l(w) = -2*w. Determine l(k(g)).
2*g**2
Let y(p) = 136*p - 48*p - 41*p - 46*p. Let q(r) = 13*r. Determine q(y(l)).
13*l
Let m(k) be the third derivative of k**5/30 + k**2. Let r(o) be the first derivative of 5*o**2/2 - 266. Determine r(m(t)).
10*t**2
Let c(s) = 357*s. Let j(r) = 13809*r**2. What is j(c(z))?
1759943241*z**2
Let n(u) = u**2 + 11. Let c(m) = 96*m - 4. Determine n(c(y)).
9216*y**2 - 768*y + 27
Let s(d) = -2*d**2. Let j(h) = h**2 + 4*h - 11231. Determine j(s(q)).
4*q**4 - 8*q**2 - 11231
Let j(w) = w + 3. Let m(v) = 4*v + 11. Let i(o) = o**3 - 9*o**2 - o + 15. Let a be i(9). Let n(y) = a*m(y) - 22*j(y). Let t(x) = x. Give t(n(c)).
2*c
Let l(d) = -2*d - 1. Let g(t) be the third derivative of -t**4/24 - 36*t**2. Give g(l(v)).
2*v + 1
Let u(r) = 742558*r. Let t(g) = -2*g. What is u(t(y))?
-1485116*y
Let m(h) = 526*h - 28. Let p(y) = -4*y. Give m(p(w)).
-2104*w - 28
Let g(o) = 2*o. Let a(q) = -10033*q**2 - 553*q. Let z(i) = 109*i**2 + 6*i. Let n(h) = 6*a(h) + 553*z(h). Calculate g(n(l)).
158*l**2
Let i(b) = -1. Let l(s) = s - 6. Let h(t) = -6*i(t) + l(t). Let v(a) = 4*a**2 - 264 - 274 + 538. Calculate v(h(y)).
4*y**2
Let w(c) = 66628*c. Let r(m) = m**2. Determine w(r(b)).
66628*b**2
Let v(k) be the third derivative of k**5/12 - 6*k**2. Let w(d) be the second derivative of -d**3/3 + 7*d. Determine w(v(q)).
-10*q**2
Let t(r) = r. Let n(q) be the first derivative of 5*q**4/24 - 21*q**2/2 + 28. Let i(m) be the second derivative of n(m). Give t(i(z)).
5*z
Let a(g) = -38*g. Let d(w) = -9*w + 50. Determine a(d(n)).
342*n - 1900
Let o(y) = -12*y**2 + 27*y**2 - 16*y**2. Let n(k) = 3*k - 3. Let h be n(2). Let q(a) = -h*a + 3*a + 4*a. Calculate q(o(f)).
-4*f**2
Let j(l) = -l. Let y(u) = 4*u - 20. Let v(p) = -1. Let b(q) = 2. Let t(m) = -3*b(m) - 5*v(m). Let o(g) = 20*t(g) - y(g). Calculate o(j(x)).
4*x
Let g(z) = -8*z. Let j(f) = 14*f - 954440 + 954440. Calculate j(g(s)).
-112*s
Let q(h) = -106*h**2 - 28*h. Let u(p) = -136*p. Give u(q(v)).
14416*v**2 + 3808*v
Let n(u) = 14*u. Suppose 1 - 3 = -f. Let r(j) = 0*j**2 - j**2 + f*j**2. What is n(r(a))?
14*a**2
Let v(w) = -15*w**2. Let d(a) be the first derivative of 7*a**3 - 247. Calculate v(d(n)).
-6615*n**4
Let w(i) = i - 8. Let t(x) be the first derivative of -3*x + 2. Let z = -13 - -10. Let y(j) = z*w(j) + 8*t(j). Let v(u) = -u**2. Calculate v(y(d)).
-9*d**2
Let c(z) = -8*z**2. Let k(w) = 62*w**2 + 7*w + 14. Let n(m) = 279*m**2 + 31*m + 62. Let v(l) = 31*k(l) - 7*n(l). Calculate c(v(q)).
-7688*q**4
Let i(v) = 13*v**2 + 18. Let k(r) = 7*r**2 + 2*r + 4. Let s(n) = 17*n**2 + 5*n + 10. Let g(b) = -5*k(b) + 2*s(b). Calculate i(g(z)).
13*z**4 + 18
Let c(w) be the second derivative of w**3/3 - 13*w. Let u(r) = -r**2 + 1. Let q(d) = 5*d**2 + 2. Let m(j) = -q(j) + 2*u(j). Determine m(c(g)).
-28*g**2
Let g(s) = -203*s + 1. Let f(a) = -2*a**2 - 7*a - 35. Let j(p) = -p**2 - 3*p - 15. Let k(c) = -3*f(c) + 7*j(c). Determine k(g(x)).
-41209*x**2 + 406*x - 1
Let z(g) = -3*g**2 + 2. Let j(t) = 1 + 1 - 5 + 10*t**2 - 4. Let b(x) = -2*j(x) - 7*z(x). Let a(m) = 2*m**2. Give a(b(r)).
2*r**4
Let x(m) = -30605*m. Let r(d) = 33*d. What is r(x(s))?
-1009965*s
Let k(f) = -30*f. Let n(s) = -3*s + 2. Let j(l) = -23*l + 22. Let p(a) = 4*j(a) - 44*n(a). Give p(k(i)).
-1200*i
Let y(s) = -s**2 + 15*s - 3. Let g(w) = -5*w + 1. Let x(n) = -6*g(n) - 2*y(n). L | {
"pile_set_name": "DM Mathematics"
} |
9*y - 13. Let c = -7 - -1. Let d(z) = c*t(z) + v*b(z). Factor d(u).
-u*(5*u - 2)
Let k be (1 - -3) + (0 - 0). Let -3*u**k + 9*u**4 + 3*u**3 + u**5 + 2*u**5 = 0. Calculate u.
-1, 0
Factor 2/13*s**3 + 0*s - 2/13*s**5 + 0*s**2 + 0 + 0*s**4.
-2*s**3*(s - 1)*(s + 1)/13
Find p such that 4/5*p - 4 - 1/5*p**4 + 3*p**2 + 2/5*p**3 = 0.
-2, 1, 5
Let f = -1182 - -814. Let s be (f/(-64))/(2/8). Suppose -s*r**4 - r + 9/2*r**2 - 12*r**5 + 0 + 9/2*r**3 = 0. What is r?
-2, -1/2, 0, 1/4, 1/3
Factor -33*x**4 + 38*x**4 - 2*x**3 + 37*x**3.
5*x**3*(x + 7)
Suppose 5*c + 0*c - 17 = b, 13 = -b + 4*c. Suppose 2*m = 10, -b*k + k + 23 = 3*m. Factor 6*n**3 - 2*n + 6*n + n**5 - 2*n + 4*n**2 + 4*n**k - n.
n*(n + 1)**4
Factor p + 1/2*p**2 + 0.
p*(p + 2)/2
Let j(s) be the second derivative of -20/27*s**3 + 4/9*s**2 + 7*s + 0 + 1/6*s**4. Factor j(d).
2*(d - 2)*(9*d - 2)/9
Let u(q) = -q**3 + q**2 - q. Let h(p) = -p**4 + 6*p**3 - 5*p**2 + 3*p. Let n(d) = h(d) + 3*u(d). Find x such that n(x) = 0.
0, 1, 2
Let b be -9*((-24)/(-9))/(-4). Suppose -4*o = -b - 14. Factor 2/3 - 4/3*t**2 + 2/3*t + 2/3*t**4 - 4/3*t**3 + 2/3*t**o.
2*(t - 1)**2*(t + 1)**3/3
Let j(g) be the third derivative of -g**9/15120 - g**8/2240 - g**7/840 - g**6/720 + g**4/8 + 2*g**2. Let q(x) be the second derivative of j(x). Factor q(d).
-d*(d + 1)**3
Let b = 7/64 - -51/704. Determine p, given that -b*p - 2/11*p**4 - 6/11*p**2 + 0 - 6/11*p**3 = 0.
-1, 0
Let a(c) = -7*c**3 - 16*c**2 - 15*c - 2. Let o(w) = 7*w**3 + 16*w**2 + 16*w + 2. Let v(r) = 5*a(r) + 4*o(r). Determine t, given that v(t) = 0.
-1, -2/7
Let x(p) be the third derivative of 0 + 1/42*p**4 + 0*p**3 + 2*p**2 + 0*p - 1/210*p**5 - 1/420*p**6. Factor x(g).
-2*g*(g - 1)*(g + 2)/7
Suppose 2/11*l**3 + 2/11*l**2 - 2/11 - 2/11*l = 0. What is l?
-1, 1
Let u(a) be the third derivative of 16/315*a**7 - 13/6*a**4 + 0*a - 26/45*a**6 + a**3 + 0 + 193/90*a**5 - 3*a**2. Solve u(g) = 0 for g.
1/4, 3
Let o(k) = k**3 - 4. Suppose 13 = 3*z - 5. Let y(r) = -r + 3. Let p be y(z). Let t(u) = -u**3 + u**2 - u + 3. Let x(h) = p*t(h) - 2*o(h). Factor x(j).
(j - 1)**3
Suppose 0 = a - 5*p - 10, 3*a = p + 25 + 33. Let u(m) = 20 - a + m. Let q(l) = l**2 - l - 1. Let o(b) = -2*q(b) - 2*u(b). Let o(z) = 0. What is z?
-1, 1
Let y(x) = x + 9. Let k be y(-7). Let a(m) = m**3 - m**2 + 2*m - 3. Let b be a(k). Factor -5*t**3 + 0*t**3 + b*t - t**5 - 2*t**2 + 4*t**4 + t**3 - 2.
-(t - 2)*(t - 1)**3*(t + 1)
Let x(i) = 63*i + 569. Let k be x(-9). Factor 2/9*t**3 + 0 + 2/3*t + 8/9*t**k.
2*t*(t + 1)*(t + 3)/9
Let b = -12 - -16. Suppose -1/2 - 3/4*j**5 - 5/2*j**3 + 0*j**2 + 5/2*j**b + 5/4*j = 0. Calculate j.
-2/3, 1
Let v = 3/137 + 77/2740. Let b(d) be the second derivative of 0 + 1/3*d**3 + 0*d**2 + 1/12*d**4 + 2*d - v*d**5. Solve b(a) = 0.
-1, 0, 2
Factor 36*y**3 + 56*y - 3 - 11*y**4 - 13 + y**5 - 4*y**3 + 11*y**3 - 73*y**2.
(y - 4)**2*(y - 1)**3
Factor 5*w**5 - 4*w**5 + w**2 + 23*w**4 - 24*w**4 - w**3.
w**2*(w - 1)**2*(w + 1)
Suppose -4 - 8 = -4*c. Let k(j) be the first derivative of 2*j**2 + 0*j + 2/3*j**c + 1. Factor k(x).
2*x*(x + 2)
Let p be (-10)/(-15) + 8/(-3). Let y(b) = -b**3 - 3*b**2 - b + 2. Let r be y(p). Let -2*h**2 + h**2 + 4 - 5 + 2*h + r*h**2 = 0. What is h?
1
Factor m**4 + 24*m**2 - m**3 - 32*m + 16 - 2*m**3 - 5*m**3.
(m - 2)**4
Factor 2/7*o**2 + 2/7*o**3 + 0*o + 0.
2*o**2*(o + 1)/7
Factor 0*m + 0 - 3/8*m**2 + 3/8*m**3.
3*m**2*(m - 1)/8
Suppose -2*h - 4*v = -6*h + 4, -2*h + 4*v = 0. Factor -1/2 + h*f**2 - 3/2*f.
(f - 1)*(4*f + 1)/2
Let s(k) be the first derivative of 7*k**3/3 + k**2/2 - 3. Let t be s(-1). Factor -5/2*x**3 - 2*x + 0 + t*x**2.
-x*(x - 2)*(5*x - 2)/2
Let q be (24/(-9) + 3)*24. Suppose 4*r = -0*r + q. Factor 4*g - 3*g - g + 2*g - r*g**2.
-2*g*(g - 1)
Let u = -44 + 22. Let k be u/(-5) - 12/30. Find c, given that -c**k - 5*c**4 - 4*c**3 + 5*c**4 - 4*c**2 = 0.
-2, 0
Let g(j) be the first derivative of j**6/24 + 19*j**5/20 + 65*j**4/8 + 175*j**3/6 + 125*j**2/8 - 625*j/4 + 7. Factor g(s).
(s - 1)*(s + 5)**4/4
Let s be (-4 - -1)/((-54)/24). Let n(i) be the first derivative of i**2 - 2 - s*i**3 + 2*i + 1/3*i**6 - i**4 + 2/5*i**5. Factor n(w).
2*(w - 1)**2*(w + 1)**3
Let a(q) be the third derivative of q**7/630 - q**6/180 - q**5/180 + q**4/36 + 16*q**2. Solve a(j) = 0 for j.
-1, 0, 1, 2
Let v(z) be the second derivative of -z**4/18 + 7*z**3/18 + 2*z**2/3 - 5*z. Factor v(o).
-(o - 4)*(2*o + 1)/3
Let g(b) be the third derivative of -5*b**2 + 1/240*b**5 + 0*b + 1/48*b**4 + 1/24*b**3 + 0. Factor g(r).
(r + 1)**2/4
Suppose -7 = -3*j + 2. Let u be (-8)/(-7 + j + 2). Find s such that -u*s**2 + 18 + 2*s**4 + 3*s**3 - s**5 - 7*s + 3*s - 18 = 0.
-1, 0, 2
Let k = -244 - -246. Solve 10/7*g**3 + 4/7 + k*g + 18/7*g**2 + 2/7*g**4 = 0 for g.
-2, -1
Find q, given that -12*q - 15 - 13 + 20 - 4*q**2 = 0.
-2, -1
Factor 8/5 + 6*h**2 - 14/5*h**3 - 26/5*h + 2/5*h**4.
2*(h - 4)*(h - 1)**3/5
Suppose -7*t - 3*t**4 + 5*t**4 - 7*t**5 + 2 + 14*t**3 + 0*t**2 - 4*t**2 = 0. Calculate t.
-1, 2/7, 1
Let x(o) = -2*o**2 - 13*o + 9. Let g be x(-7). Suppose -i = g*r + r + 5, -4*i - 20 = 0. Let q**4 + 2/3*q**5 + 1/3*q**3 + 0 + 0*q**2 + r*q = 0. Calculate q.
-1, -1/2, 0
Factor 9*f - 3*f + 5*f**2 - 5 + 6.
(f + 1)*(5*f + 1)
Let f = 25/42 - 2/21. Let v(i) be the first derivative of f*i**4 + 0*i + 0*i**3 + 2 - 1/2*i**2 - 1/6*i**6 + 0*i**5. Factor v(p).
-p*(p - 1)**2*(p + 1)**2
Let i = -5 - -5. Let u be ((-2)/4 - i)*-4. Suppose 1/2*b**u + 1/2 + b = 0. Calculate b.
-1
Suppose 4 = 5*s - 6. Let u(t) be the first derivative of -1/4*t - 2*t**3 + 9/8*t**s + t**4 - 1. Factor u(v).
(v - 1)*(4*v - 1)**2/4
Suppose 34 = 3*r - 5*o, -5*r - 4*o + o = 0. Factor -5*y**3 + r*y**2 - 4*y**2 + 4*y**3.
-y**2*(y + 1)
Factor 3*y**2 + 0*y**2 - 6*y**2 + 263*y - 329*y - 363.
-3*(y + 11)**2
Suppose 4 = -h + 3*i, -2*h - 3*h = -3*i - 4. Determine a so that 3*a**2 + 6*a**2 + a - 5*a**h + a + 2*a**3 = 0.
-1, 0
Suppose 0*n + 3*n = 9. Let g be (2 - 3) + n*1. Find f, given that -2*f + 0 + g*f**2 + 0 = 0.
0, 1
Let v(f) be the third derivative of 4*f**7/945 - 11*f**6/540 + f**5/54 + f**4/54 + 9*f**2. What is q in v(q) = 0?
-1/4, 0, 1, 2
Let y = 5 - 1. Suppose 3*i - 5*l - 4 = 0, i - l + 10 = y*i. What is m in 0*m**4 + 0 - 2/9*m**5 + 4/9*m**i - 2/9*m + 0*m**2 = 0?
-1, 0, 1
Let u(p) be the second derivative of p**6/120 + p**5/40 - p**4/16 - p**3/3 - p**2/2 - 17*p. Factor u(q).
(q - 2)*(q + 1)**2*(q + 2)/4
Let g(u) be the third derivative of -9*u**8/11200 - u**7/2100 + u**4/8 + 7*u**2. Let t(j) be the second derivative of g(j). Suppose t(v) = 0. What is v?
-2/9, 0
Let n(o) = o**4 + 7*o**3 - 7*o - 7. Let g(q) = 3*q**3 - 3*q - 3. Let i(j) = -7*g(j) + 3*n(j). Factor i(w).
3*w**4
Let l = -790 + 793. Factor -2/3*o + 2/9*o**2 + 0 - 2/9*o**4 + 2/3*o**l.
-2*o*(o - 3)*(o - 1)*(o + 1)/9
Solve -2/7*r**2 - 4/7*r - 2/7 = 0.
-1
Let w(a) be the first derivative of -5 - a**3 + 3/2*a**2 + 0*a. Solve w(y) = 0.
0, 1
Let l(o) be the first derivative of -2*o**6/9 - o**5/15 + 2*o**4 - 26*o**3/9 + 2*o**2/3 + o - 4. Solve l(i) = 0 for i.
-3, -1/4, 1
Suppose 4*f - 4 = 4. Find w such that -f*w**4 - 12*w**3 + 12*w**2 + 8*w**4 - 4*w**4 + w**4 = 0.
0, 2
What is b in 2/5*b**3 - 2*b**2 + 14/5*b - 6/5 = 0?
1, 3
Suppose x = -a + 5, -a + 2*x = 2*a - 5. Let b(i) be the first derivative of 0*i**2 + 1 + 0*i + 0*i**a - 1/2*i**4. Suppose b(k) = 0. What is k?
0
Let a(u) be the second derivative of u**4/32 - 5*u**3/48 + u**2/8 + u. Factor a(n).
(n - 1)*(3*n - 2)/8
Let i be (-20)/(-80) + 30/8. Let n(b) be the first derivative of -2/21*b**3 + 0*b**i + 0*b**2 - 1 + 2/35*b**5 + 0*b. Determine p, given that n(p) = 0.
-1, 0, 1
Let i be -1*(2 - 5)/(-3). Let m be i - (70/(-8))/5. Suppose m*f**2 + 1/2*f + 0 = 0. What is f?
-2/3, 0
Let x(n) be the third derivative of -3*n**7/490 - n**6/20 - 5*n**5/84 - n**4/42 + 48*n**2. Suppose x(f) = 0. What is f?
-4, -1/3, 0
Let r(n) be the second derivative of n**9/75600 + n**8/16800 - n**6/1800 - n**5/600 + n**4/3 + 5*n. Let k(w) be the third derivative of r(w). Factor k(a).
(a - 1)*(a + 1)**3/5
Suppose 3*l - 4 = 2. Find b such that 5*b**2 - 4*b**l - 3*b**2 - 4*b = 0.
-2, 0
Factor 0 - 2/5*x - x**2 + x**4 + 2/5*x**3.
x*(x - 1)*(x + 1)*(5*x + 2)/5
Let l(i) be the first derivative of i**5/5 + i**4/2 - i**2 - i + 3. Factor l(d).
(d - 1)*(d + 1)**3
Let o(p) be the first de | {
"pile_set_name": "DM Mathematics"
} |
u. Round l to one dp.
-0.2
Let b = -4 - -4. Let q be 3/((-3)/(-2) + b). Suppose q*n - 140 = 6*n. Round n to the nearest ten.
-40
Let l(f) = f + 6. Let j be l(0). Let g(x) = 2*x**3 + 2*x**2 - x**3 + 145*x - 4*x**2 - 151*x - 2*x**2 - 6. Let b be g(j). What is b rounded to the nearest 100?
0
Let s = 902 + -902.649. What is s rounded to 2 decimal places?
-0.65
Let d = -0.2192 + 0.25606. Round d to three dps.
0.037
Let z = 35 - 31. Suppose -4*b - 60 = -z*d, -4*d + 9 + 19 = 4*b. What is d rounded to the nearest 10?
10
Suppose n = 2*c + 14, c - 14 = 3*n - 6*n. Suppose n*r - 20 = r. Let m be (-1593006)/27 - r/(-18). Round m to the nearest 10000.
-60000
Let v = -373.0046 + 373. Round v to 3 decimal places.
-0.005
Let n = -179.66053325 - -181.86053. Let p = -2.2 + n. What is p rounded to six decimal places?
-0.000003
Suppose 17235092 = -0*v - 2*v. Let a = 5067546 + v. What is a rounded to the nearest 1000000?
-4000000
Let b be -5*(-408)/10*68. Suppose 0 = -3*n - b - 5958. What is n rounded to the nearest 100?
-6600
Let x be (-2 - -4)/(4/545036). Let u be (x/6 - 3)/((-2)/960). What is u rounded to the nearest one million?
-22000000
Let j = 78370 - 79441.71. Let b = j + 1065. What is b rounded to the nearest integer?
-7
Let r be (-16)/24 - (-28)/(-3). Let g be (-2)/r + 741/(-5). Let y = g + -312. What is y rounded to the nearest one hundred?
-500
Let f = 1 + -1. Suppose -4*l + 2*y + 0*y + 1410 = 0, f = -l + y + 353. Let g be 2/6 + l/6. What is g rounded to the nearest 10?
60
Let u = 7 - 6.989. Let t = -0.0466 + u. What is t rounded to 3 decimal places?
-0.036
Let m be (-2)/(24/(-1009644)) - (-3 + 0). What is m rounded to the nearest one thousand?
84000
Let v = 67.754 + -68. Let s = -1.39 + 1.2. Let q = v - s. Round q to two dps.
-0.06
Let c = 287.2058749 - 273.90587503. Let s = c + -13.3. Round s to 7 decimal places.
-0.0000001
Let g(w) = 13*w**3 + 10*w**2 - 13*w - 30. Let f be g(-9). Round f to the nearest 1000.
-9000
Let t = -309.89 - -312. Let b = t - 2.7. Let d = b - 0.07. Round d to 1 dp.
-0.7
Let w = -1965.9990381 + 1966. Round w to 4 decimal places.
0.001
Let v = -12 - -9. Let j be (-1 - -1)/(v + 1). Suppose j = 3*g + k - 24900001, 2*k + 0*k - 24900002 = -3*g. Round g to the nearest 1000000.
8000000
Let x = -52.58001 - -51.88. Let n = -34 + 34.7. Let f = x + n. What is f rounded to 5 decimal places?
-0.00001
Let a = -2.91 - -1.68. Let v = a - -1.1872. What is v rounded to two decimal places?
-0.04
Let p = 0.54 - 2.08. What is p rounded to zero dps?
-2
Let q = 665.999991175 + -666. Round q to six dps.
-0.000009
Let a be 1*(-3)/((-9)/48). Suppose -18 = -2*f - 2*s, a = s + 3*s. Suppose -4*x = -5*x + 2*l + 38, f*x + l = 146. Round x to the nearest one hundred.
0
Let w = -19 - -15. Let f be w*(-3671 + -3 + -1). What is f rounded to the nearest 1000?
15000
Let l = 13.2 - 0.2. Let i = -12.9932 + l. Round i to 3 dps.
0.007
Suppose 9*j = -5*j - 47082. What is j rounded to the nearest one hundred?
-3400
Let n(a) = -a**2 - 4*a - 3. Let f be n(-5). Let m = -8 + f. Let b = -16 - m. What is b rounded to 0 dps?
0
Let z(p) = p**3 + 2*p**2 - 1. Let i be (1*(-2 - -2))/(-2). Let m be z(i). Let c be (-7102)/m + (-12)/6. Round c to the nearest one thousand.
7000
Let g = 29 + -26. Suppose -75720 = m + g*m. Let p = m + 39130. Round p to the nearest 1000.
20000
Let j = 251180 + -441580. Round j to the nearest 10000.
-190000
Let k = 90 + -85. Let o(w) = 24*w**2 + 7*w + 10. Let a be o(-9). Suppose 5*p + 0*j + 3*j = a, -p + k*j = -395. What is p rounded to the nearest 100?
400
Let f = -1.09 - 2.64. What is f rounded to zero dps?
-4
Let n = -13034.88 - -13002.87995. Let m = n - -32. Round m to 5 decimal places.
-0.00005
Let f = -10624103.6 + 10162058.59915. Let w = f + 462025. Let z = w - -20. Round z to four decimal places.
-0.0009
Suppose -5*c + 69190 = -4*f, -4*f - 36838 = -4*c + 32354. Let r = f + 107300. What is r rounded to the nearest 10000?
90000
Let l = 2.61 + -3. Let f = l - 0.21. What is f rounded to the nearest 10?
0
Let g = 42562498 + -42562506.9999815. Let y = g + 9. Round y to 6 dps.
0.000019
Let h(y) = 25*y - 32 + y**2 - 10*y - 6*y. Let x be h(-14). What is x rounded to the nearest 10?
40
Let w = 192 + -359. Let s = w + 166.999927. What is s rounded to 5 decimal places?
-0.00007
Let z = 0.6 - 0.3. Let q = z + -0.2974. What is q rounded to four decimal places?
0.0026
Let w = 7.133 + -0.133. Let a = 6.48 - w. What is a rounded to zero decimal places?
-1
Let q = 6.825 + -0.125. Let d = 11 - q. What is d rounded to the nearest integer?
4
Let z = -259.8 + -13.2. Let t = -254.7 - z. What is t rounded to the nearest integer?
18
Let h = 0.393 + -0.45. Let m = h + 0.057175. What is m rounded to five decimal places?
0.00018
Let m = -8.55 + 10. Let t = 1.450162 - m. What is t rounded to 5 decimal places?
0.00016
Let r = -404 - -384.1. Let y = 20 + r. Let l = 0.1 + y. What is l rounded to the nearest integer?
0
Let q = 22.27 + -22.6. Let m = -659 + 659.287. Let i = m + q. What is i rounded to two decimal places?
-0.04
Let a be 10/55 - 2/11*-43. Let j(b) = -11524*b**3 + 6*b**2 - 13*b + 8. Let u be j(a). What is u rounded to the nearest one million?
-6000000
Let u = 28.5 - 28.499999914. What is u rounded to 7 dps?
0.0000001
Suppose -j = -61832 - 36368. Round j to the nearest 1000.
98000
Let u be (32/2)/((-11)/(-188925000)*-2). What is u rounded to the nearest 1000000?
-137000000
Let d = 360.0637 - 0.0637. Let a = d + -359.9829. What is a rounded to 3 dps?
0.017
Let l = -995.6 + 798.38. What is l rounded to the nearest integer?
-197
Let m = -43 - -59. Suppose 5*g + 0*u - m = 4*u, 5*g = -u - 4. Round g to the nearest ten thousand.
0
Let a be (-3 - 2)*1 + -1. Let k be 1*12197 + (-18)/a*1. Round k to the nearest 1000.
12000
Let x = -1934 + 1907.98. Let l = 9 - 35. Let o = l - x. Round o to one dp.
0
Let n = 125 + -210. Let u = n - -85.0000049. Round u to six decimal places.
0.000005
Let t = 398 + -383.19. Let g = -15 + t. Let p = g + 0.18964. Round p to four decimal places.
-0.0004
Suppose -3 = -d, 0 = -2*o + 5*o - 4*d - 463872. Let p = o - 218628. Round p to the nearest 10000.
-60000
Let g = 392496780 - 260496779. Suppose -z = -6*f + 4*f + 44000002, g = -3*z + f. Round z to the nearest one million.
-44000000
Let s = -101998374.806037 + 101998317. Let g = s + 145.806078. Let i = g + -88. What is i rounded to 5 decimal places?
0.00004
Suppose -3*d - d = 131440. Let t = d + -195140. What is t rounded to the nearest ten thousand?
-230000
Let r = 2380.13 - 2384. What is r rounded to zero decimal places?
-4
Let n = -50 + 55. Suppose -4*r - 22836 = -n*v + 97160, 2*v - 5*r - 47995 = 0. Round v to the nearest 1000.
24000
Let y = 438452 - 438803.307. Let g = y + 370.7. Let u = -0.293 + g. Round u to the nearest integer.
19
Suppose -9200 = -9*v + 4*v. Let l(d) = -5*d**3 - d**2 - 2*d - 1. Let g be l(-1). Suppose -g*p = -p - v. Round p to the nearest one hundred.
500
Let s = 116789213 + -36989213. Suppose -53*b - s = -55*b. Round b to the nearest one million.
40000000
Let v(n) = n**2 - n. Let w(d) = 3*d - 13. Let b be w(6). Let h(t) = -6*t**2 + 11*t + 6. Let x(i) = b*v(i) + h(i). Let c be x(9). Round c to the nearest ten.
-20
Suppose 9*t = 12*t - 34815. Suppose -4*z + 172395 = -t. What is z rounded to the nearest ten thousand?
50000
Let z(r) = -68*r**3 + 7*r**2 + 3*r - 44. Let s be z(-4). What is s rounded to the nearest 100?
4400
Suppose -6*x = x - 5035744. Suppose 7*a = x + 1317608. Round a to the nearest 100000.
300000
Let y = 206.899602391 + -205.5499769. Let k = 54.650363409 + y. Let v = k - 56. Round v to 6 dps.
-0.000011
Suppose 0 = 4*l - s - 13, -5*s - 8 = -l - 0*l. Suppose -3*g - l*x = -68162 - 141841, 5*g = -4*x + 350004. What is g rounded to the nearest 10000?
70000
Let m = -6949278.14631 + 6949247. Let y = m + 31.45630984. Let x = 0.31 - y. What is x rounded to seven decimal places?
0.0000002
Let k = 3.8 - 26.8. Let l = 24016096.79000018 + -24016119.79. Let r = k - l. What is r rounded to 7 dps?
-0.0000002
Let k = -5.9 - 27.1. Let p = k + 58. Let d = -25.00000026 + p. What is d rounded to 7 dps?
-0.0000003
Let h = 0.084 + 119.916. Let t = h + -52. Let o = t + -67.999894. Round o to 5 dps.
0.00011
Let n = -33 + 33.02485. What is n rounded to 2 dps?
0.02
Let d = -43 - -39.7. | {
"pile_set_name": "DM Mathematics"
} |
t k = 7 + q. Solve 2*g + 11 = k*r, 5 - 1 = -o*g + 2*r for g.
2
Let p be 0 + (-2 - -3 - -1). Suppose -2*c - 6 - 2 = -3*b, -8 = -b + p*c. Suppose b*x = 5*x. Solve x = -2*z - w + 3, -5*w - 5 = 5*z for z.
4
Suppose 28*w + 7*w - 25*w = 20. Solve -w = 2*d + 3*p, -6*d + 2 = -4*d + 5*p for d.
-4
Suppose 26 = 3*q - 2*m, 4*q - 58 = 5*m - 14. Solve q = v + r + 1, 0 = 4*v + 2*r - 10 for v.
0
Suppose 156 = -25*d + 27*d. Suppose 9*z + 3 = -d. Let v(y) = y**2 + 5*y - 23. Let l be v(z). Solve 0*k - k - w = -1, -5*w + l = 3*k for k.
-4
Let u be (-14 + 744/56)/(2/(-14)). Solve 4*y - u = 5*b, -30 = 4*b - 11*y + 13*y for b.
-5
Let y = -68 + 82. Let l = -41 + y. Let t be ((-5)/(-2))/(5 - l/(-6)). Solve -t*w - f - f = 8, -5*w + f = 11 for w.
-2
Let m be ((-1)/(2/4))/(-2). Suppose -2*x - x - s = -92, 3*s - 66 = -2*x. Suppose x*k = -4*k. Solve -p + 2*i = m, k = p + 4*p + 3*i - 34 for p.
5
Let c = -9490 + 9493. Solve 4*w = 5*j - 6, 4*w - c*w + 6 = -j for w.
-4
Let k be 1*8*1/2. Let b = -109579 - -109581. Solve t + b*i + 7 = 0, 1 - 9 = -k*t + 4*i for t.
-1
Let k = -2 - -5. Suppose -3*h = 6, -3*h + 325 = 3*f - 56. Let y = -124 + f. Solve -k*x - 8 = 1, -y*x = -5*w + 5 for w.
-2
Suppose -94 = 2*x + 2*c, -3*x + 0*c - 133 = -c. Let i be x/(-2)*22/33. Let v be (28/(12/3))/(3/i). Solve 4*j = 3*o + 5, 3*o = -2*o - 2*j + v for o.
5
Let m(h) = -12*h**2 + 206*h - 22. Let a be m(17). Let f be (2/3)/((-4)/6). Let q = f + 5. Solve 0 = p + 5*k - 12, p - q*k = -k - a for p.
-3
Let s = -5036 + 5039. Solve 3*x + 17 = s*m + 35, x + 2*m + 9 = 0 for x.
1
Let m = 16672 + -16588. Solve -4*v + 18 = -2*x, 1 = -m*v + 85*v + 3*x for v.
4
Let t(g) = 6*g + 2. Suppose 0 = -3*q - 9. Let h be t(q). Let a = -12 - h. Solve 0 = 5*f + a*n + 1, 3*n + 4 = -4*f - n for f.
3
Let j(y) = -2*y**2 - 13*y - 3. Let o be j(-6). Suppose -6*d + o*d = 3*k - 27, -3*k = -2*d - 2. Solve -2*a + 12 = -k*f + 3*f, -3*f = 3*a for f.
-4
Suppose -4*c - 127 = -4*t - 9*c, -t + 37 = 3*c. Suppose -5*w + 4*q = -t, q - 12 = -3*w - 2. Solve -10 = -2*n + w*h, 0 = 3*n + 5*h - 0*h - 4 for n.
3
Suppose 2*j + 2*r = 134, 0 = 2*j - r - 49 - 76. Suppose -19*c = -3*c - j. Solve 4*p + c*s - 8 = 0, 2*s - 9 = -s for p.
-1
Let t be 72/16*(-1)/((-3)/2). Suppose t*g - 4*q = 41, 5*g = 3*g + 3*q + 29. Suppose -12 = -11*v + g*v. Solve 0 = 2*a - f - v*f - 14, -4*f = -3*a + 11 for a.
-3
Let u(f) = f**3 + 2*f**2 - 3*f - 4. Let b be 530/(-8) + (-2 - 0)/(-8). Let i = -68 - b. Let g be u(i). Solve 11 = 3*y + q, -4*y + 3*q - g*q + 10 = 0 for y.
3
Suppose -5 = n - 5*z, 0 = n - 25*z + 28*z - 11. Suppose -n*g = -35*g + 300. Solve -5*d - 33 = 5*h - 8, 2*d + g = 3*h for d.
-5
Let d(m) = m**3 - 16*m**2 + 15*m + 34. Let q be d(14). Let t = 153 + q. Solve -j = 0, -x + t*j + 2 + 1 = 0 for x.
3
Suppose -18*b - 355 + 445 = 0. Solve 0 = -3*w - 4*n + 1, 35 = -3*w - 0*w + b*n for w.
-5
Suppose 5*v - 433 = -2*n + 124, n + 554 = 5*v. Suppose 0 = -113*l + v*l + 42. Solve 3*x = 2*f - 2, l = -f - 0*x - 4*x for f.
-5
Suppose 311 = 6*p + 53. Suppose 80 = -3*b + 23. Let a = b + p. Solve 4*i = j + 20, 0*j - 3*i + a = -3*j for j.
-4
Let d = 9 - 9. Suppose -5*c + 14*m - 18*m + 67 = d, 2*c + 2*m - 26 = 0. Solve 0*g - c = -5*b + 5*g, 5*b + g = -15 for b.
-2
Let j = 1706 - 1694. Solve 3*g = 3*f - 9, 3*f + j = 29*g - 33*g for g.
-3
Let c = 181 + -371. Let a = 192 + c. Solve -4*o + 5 = o, a*u - 5 = 5*o for u.
5
Let z = -3 - -5. Let p be (-3)/6*(-10 + z). Suppose -p*h = c - 6*c + 6, c = 2*h. Solve -3*t - 5 = 5*u + c*t, 5*u = -4*t - 9 for u.
-5
Let q be 43/9 - (-2)/9. Suppose 171*x = 802 - 118. Solve y - 8 = x*t, -q*t = -t - 3*y for t.
-3
Suppose 21 = 20*l - 17*l. Suppose f - 8 = -3*n + l, 20 = 5*f + 4*n. Solve -4*g = -f*j + 3*j + 2, 5*j - 10 = 0 for g.
-2
Suppose -4*j - 17 = -m + 6*m, 3*j + m - 1 = 0. Let o be (53 + -53)/(j/1). Solve -3*g + 7*g = 3*d + 26, o = 4*d + 8 for g.
5
Suppose 12 = 3*l - 4*r, 7*r - 8*r = 0. Suppose 36 = -l*a + 56. Solve a*d + 5*v = 20, 4*d + 16 = 4*v - 0*v for d.
0
Let n be 6/(-9)*3 - -12. Suppose -4*u - 8 = 0, -3*f + 5*u + 12 + n = 0. Let r = -258011 - -258014. Solve f*p + 29 = -r*t - 0*t, -4*t - 32 = 4*p for t.
-3
Suppose 5 - 70 = -7*k + 26. Solve -88*h = -5*p - 91*h - k, 19 = -3*p + h for p.
-5
Suppose 23 = 5*n + 2*p, -26*n + 24*n + 22 = 4*p. Solve -6*s + s = -n*y + 24, 0 = -2*s + 2*y - 12 for s.
-3
Suppose -10 = -3*s + l, 2*l + 4 = 24*s - 22*s. Solve -3*a + a - p = 0, -s*a + 2*p = -8 for a.
1
Suppose 59 = x + 55. Let y = 5 + x. Suppose 0*h = 4*h + w - y, -w - 1 = -h. Solve -f + 5*s + 6 = -12, -3*f = h*s + 14 for f.
-2
Let t = 104 + -101. Suppose t*v - 2*v = 3*v. Solve -4*l - 24 = n, v = -l - l - 5*n - 30 for l.
-5
Suppose 1573 = 6*d - 251. Let s be (d/32)/(2*2/8). Solve 8 = -3*f - z, 5*f + 3*z + s = -1 for f.
-1
Suppose -5*g + 5 = -5. Let w(b) = -b - 18. Let n(o) = -18. Let d(f) = -3*n(f) + 4*w(f). Let q be d(-6). Solve 4 = g*p + 6, x - q = 5*p for x.
1
Let f = 10967 + -10965. Solve -5*r - 7 = -f*o, -r = o - 91 + 98 for r.
-3
Suppose -3*q + 2*p = -10, 2*q - 26 = -5*p + 6. Suppose q - 6 = -19*y. Solve y = 4*w - w + 4*a - 29, 0 = 4*w + 5*a - 37 for w.
3
Suppose 2*w + 3*l = 13, 0 = -5*w + 19*l - 11*l - 14. Solve 4*i = -o + w, 2*o + 7*i - 3*i = 4 for o.
2
Let o = 206 + -208. Let g be (-6)/12*(o - -2). Solve -3*y - 4*m + 20 = g, 15 = -0*y + 2*y + 3*m for y.
0
Let k(a) = a**3 - 4*a**2 - 3*a + 27. Let s be k(-6). Let n be 36/s*-55 + 2/(-7). Suppose 56 - 80 = -n*c. Solve -4*t = c*r - 4 - 32, 4*r - 24 = -t for r.
5
Let a = 324 - 308. Suppose 5*t + a = -2*o + 6*o, 2*t - 2*o = -8. Solve 3*p = -p - 5*u - 32, p + 3*u + 15 = t for p.
-3
Suppose 72063*h - 76 = 72025*h. Solve -h*q + 5*v = 22, -5*v - 119 = -3*q - 142 for q.
-1
Suppose -5*w = -6*w + 12. Let f be (-3)/w*2*0. Let g be (-18)/(-45)*(5 - f). Solve 7*z - 2*u = g*z - 18, 0 = 3*z - 4*u + 22 for z.
-2
Let u be 8/64*36 + (-5)/10. Solve t = u*t + 4*o - 5, 5*o - 14 = 4*t for t.
-1
Let w be (182/(-39) - -4)*1 - (-22)/6. Solve -5*z = -2*l + 1, -9*z - l + w = -14*z for z.
-1
Let q be 14/2 + 10 + (11 - 22). Suppose 0*a - 2*a + 26 = 0. Suppose 4*s - z = a, 2*s - s - 5*z + 11 = 0. Solve s*t - 4*y = 0, -4*t - 3*y = -t - q for t.
1
Let b(x) = 4*x**2 - 23*x + 110. Let q be b(15). Suppose -q = c - 669. Solve -h = c*p - 2 + 1, -3 = -3*h - 5*p for h.
1
Let q = 19 + -9. Suppose 3*h = 8*h + q. Let f be (2/(-6))/(h/42). Solve 2*z + 3*z + 2 = -3*v, 0 = -4*v + 3*z + f for v.
1
Let a = -3416 + 3419. Solve 2*i + 5*p + 6 = 0, -i + 5*p = p + a for i.
-3
Let z(v) = -v**2 + v + 26. Let l be z(-5). Let y be 9/18*(2 - l). Solve f = -w - y, 7*f - 3*f = -w - 9 for f.
-2
Let g be (6 + (-29)/4)/(7/(-84)). Solve -29*f - s = -24*f - g, f + s = -1 for f.
4
Let i(n) = n**2 + 3*n + 33. Let p be i(0). Suppose -40*b = -p*b - 133. Solve -y = -5*h + 23, 4*y + 5 + b = 3*h for y.
-3
Let n be 74*(-2)/(-8)*4/(-2). Let q = -23 - n. Suppose b - 8 = -3*b. Solve w - 3*p = -q, -5*p + 4 = b*w - 12 for w.
-2
Suppose -4*r + 6 = 5*z - 9, 3*z - 9 = r. Suppose r = -l - 2 + 2. Suppose -2*o + 2*n + 2 = l, -5*o - n = -9 - 2. Solve 31 = o*a - 5*m, -a - 3*m - 9 = a for a.
3
Let q(a) = -9*a**2 - 275*a + 129. Let t be q(-31). Solve -v - 4*j = t, -2*v = -84*j + 80*j - 2 for v.
-1
Suppose 15*z + 1 = 3*q + 17*z, -3*q = z - 5. Solve -2*p + 8 = -2*k, 2*k + p + q = 2*p for k.
1
Suppose 255*g + 17*g = 50*g + 666. Solve 0 = 3*k - 9, g*p - 97*k = -95*k + 3 for p.
3
Suppose -2*q - 1 + 7 = 0. Let m(p) = -187*p - 3551. Let r be m(-19). Solve -y + 3*j = r, 0*y - 3*y - q*j = -18 for y.
4
Suppose -2*s + s = -d, 3*s + 2*d = 15. Let z = 30 - 30. Solve -2*w + 16 = s*j, z*j - 4 = -4*w + j for w.
2
Suppose -9*k = -4*k - 25. Suppose 4*i + 16 = -k*y - 5, y + 6 = i. Suppose 0 = -2*u + 2, -g + 5*u = i + 2. Solve -3*c = -4*p + 3*p + g, -c = -3*p - 2 for c.
-1
Suppose -133*i + 91 = -126*i. Solve -5*c - 4*w = -19, 38*c + i = 41*c + 4*w for c.
3
Let i(u) = 6*u**2 + 1. Let d be i(1). Suppose d*y = -y + y. Suppose y = 4*l - o - 12, -2*l + 4*o - 8 = -0*l. Solve 1 = -k, -4*x + l*k = k - 7 for x.
1
Let u be -1 - 4 - (-1 + -36). Suppose 0 = -g + 37 - u. Solve -g*x - 2*i + 5 = 0, -2 = x + 5*i - 3 for x.
1
Suppose -g - 6 = -3*w, -g - 4*w + 6 + 9 = 0. Let m be (-1 - -4 - 8)/(-2) - 2/4. Solve -4*k + 5 = g*y - 0*y, 0 = -4*y - 3*k + m for y.
-1
Suppose -21 = -k + 4*d - 5, -4*k - 2*d = -46. Solve -2*u + 0*t = 4*t - k, | {
"pile_set_name": "DM Mathematics"
} |
664?
2664
In base 7, what is -1650 - 5?
-1655
In base 8, what is 1 - -703?
704
In base 5, what is 1002 - 1?
1001
In base 7, what is -50 + 106?
26
In base 3, what is 2020111 - 2?
2020102
In base 9, what is -14524 - 2?
-14526
In base 16, what is -3 + -37?
-3a
In base 13, what is -1 + a?
9
In base 14, what is -219 + -1?
-21a
In base 14, what is -736 + 4?
-732
In base 13, what is -5 + -18?
-20
In base 4, what is -10122130 - -10?
-10122120
In base 12, what is 2597 - 5?
2592
In base 7, what is 0 - 224?
-224
In base 11, what is -4 + -2?
-6
In base 4, what is 11 - -1330?
2001
In base 13, what is 2 - -218?
21a
In base 9, what is 1 + 3733?
3734
In base 15, what is -e - 3?
-12
In base 13, what is 335 - 2?
333
In base 8, what is 2 + -1451?
-1447
In base 7, what is -2 - 550?
-552
In base 15, what is 5e - 4?
5a
In base 14, what is -1b6 + 3?
-1b3
In base 3, what is -102001122 - -12?
-102001110
In base 2, what is -11010100 - 10?
-11010110
In base 5, what is -311 - 1143?
-2004
In base 5, what is -4 - -244021?
244012
In base 3, what is 11 - -222?
1010
In base 11, what is 16 - -14?
2a
In base 16, what is -a0 - -2?
-9e
In base 13, what is -7 + -20?
-27
In base 8, what is -10 + -22?
-32
In base 5, what is -10 - 20?
-30
In base 3, what is 22010 + -2?
22001
In base 11, what is 11 - -6a?
80
In base 6, what is 2 + -4350?
-4344
In base 12, what is 5 - 50?
-47
In base 7, what is 10 + -62?
-52
In base 15, what is -3 - e9?
-ec
In base 14, what is -4a + -2?
-4c
In base 11, what is 22 + -29?
-7
In base 14, what is -1084 + 1?
-1083
In base 6, what is -523 + -1?
-524
In base 8, what is -7 - 101?
-110
In base 6, what is 4 + -10421?
-10413
In base 13, what is 372 - 4?
36b
In base 9, what is 2 + 5406?
5408
In base 3, what is -12 - 202001?
-202020
In base 6, what is -352 - -2?
-350
In base 14, what is 6 - 3d?
-37
In base 2, what is 11011 + 101110111?
110010010
In base 7, what is -6320 + 2?
-6315
In base 7, what is 5 + -2040?
-2032
In base 3, what is 0 - 101?
-101
In base 10, what is -35927 - 5?
-35932
In base 5, what is 2 + 14?
21
In base 11, what is -5a4 - 4?
-5a8
In base 10, what is -3 + 22?
19
In base 12, what is 1 - -90?
91
In base 8, what is 40 + 254?
314
In base 6, what is -54 - 32?
-130
In base 16, what is 2b - -1?
2c
In base 11, what is -3024 + -1?
-3025
In base 2, what is -1 + -1000101011011?
-1000101011100
In base 3, what is -10112 - 200?
-11012
In base 7, what is -4 + 432?
425
In base 7, what is 5 + -10310?
-10302
In base 2, what is 100 + 11100?
100000
In base 12, what is -10 - -6?
-6
In base 5, what is 1 + 13101?
13102
In base 11, what is -5 + -3868?
-3872
In base 3, what is 1101200 + -1?
1101122
In base 8, what is -4 + -2162?
-2166
In base 6, what is -45 + 340?
251
In base 3, what is 0 - -2012?
2012
In base 8, what is -30 + 55?
25
In base 7, what is -4 - 5230?
-5234
In base 13, what is -480 - 1?
-481
In base 4, what is -1220 + 11?
-1203
In base 4, what is 1301 + 0?
1301
In base 6, what is -2 - 3005?
-3011
In base 14, what is -4 - d0?
-d4
In base 6, what is -121045 + 4?
-121041
In base 15, what is 120 + -5?
11a
In base 6, what is -301 + 400?
55
In base 3, what is -102211 + -10?
-102221
In base 3, what is -110201 - 2?
-110210
In base 5, what is -21 - 3?
-24
In base 12, what is 362 - -3?
365
In base 14, what is 1 + -17b?
-17a
In base 10, what is -36 - 13?
-49
In base 11, what is 4 - -76?
7a
In base 12, what is 2 + -353?
-351
In base 3, what is -1120 - -112?
-1001
In base 8, what is -477 - -10?
-467
In base 13, what is 3c9 - -4?
400
In base 3, what is 0 - 22?
-22
In base 5, what is 10243 + 12?
10310
In base 12, what is 8 + -81?
-75
In base 14, what is 44 + 0?
44
In base 12, what is 25b - -2?
261
In base 14, what is -254 + -5?
-259
In base 15, what is 47a + -2?
478
In base 3, what is 1110222 + 11?
1111010
In base 12, what is 0 + -36?
-36
In base 13, what is 1 + 48?
49
In base 13, what is -11 + -b?
-1c
In base 9, what is 153 + -24?
128
In base 2, what is -1000011 - 1010?
-1001101
In base 6, what is -51 - 0?
-51
In base 5, what is 42 - 2?
40
In base 10, what is 3 - -67?
70
In base 4, what is 100 + 321?
1021
In base 2, what is -100100 - -1001?
-11011
In base 6, what is -13 + -11?
-24
In base 12, what is -8 + 1b7?
1ab
In base 15, what is -ca - 2?
-cc
In base 4, what is 2 - 11212?
-11210
In base 8, what is 4776 + 0?
4776
In base 5, what is 3 - 20344?
-20341
In base 4, what is 331 - 3?
322
In base 8, what is 146 - -4?
152
In base 8, what is -704 - 5?
-711
In base 11, what is 12a + -1?
129
In base 5, what is -103030 + 0?
-103030
In base 7, what is 222 + -3?
216
In base 12, what is -58 - -4?
-54
In base 12, what is 23 + 1?
24
In base 15, what is 6 - 96?
-90
In base 3, what is 0 - -11121202?
11121202
In base 16, what is f + -16?
-7
In base 7, what is -4 + 1511?
1504
In base 12, what is -4 + -61b?
-623
In base 6, what is -413 - 12?
-425
In base 2, what is 10 + -110000?
-101110
In base 11, what is 65 + -5?
60
In base 2, what is -10 + 1001101100?
1001101010
In base 12, what is -23b - 0?
-23b
In base 3, what is -2021 - -10111?
1020
In base 11, what is -5 - -7a?
75
In base 11, what is -2 - -157?
155
In base 3, what is -11 - 101002?
-101020
In base 13, what is -195 + -2?
-197
In base 13, what is 198a - -3?
1990
In base 12, what is -6 - -10?
6
In base 12, what is -5a - -78?
1a
In base 5, what is -10444 + 10?
-10434
In base 5, what is 1222 + -2?
1220
In base 5, what is 10204 + 10?
10214
In base 8, what is -41 - -2?
-37
In base 11, what is 4 + a37?
a40
In base 9, what is -41 - -14?
-26
In base 5, what is -21 + -31?
-102
In base 8, what is 3507 + -21?
3466
In base 4, what is -313031 + 11?
-313020
In base 8, what is -231 + -44?
-275
In base 10, what is -1 + 2553?
2552
In base 6, what is -1 + -2303?
-2304
In base 5, what is 1010 - 2?
1003
In base 12, what is 3 - 21?
-1a
In base 6, what is -5 - -10231?
10222
In base 10, what is 3 + -7?
-4
In base 9, what is 770 + 2?
772
In base 8, what is -10750 + 3?
-10745
In base 12, what is -1 + -181?
-182
In base 5, what is -420 - -112?
-303
In base 15, what is 4 + 16?
1a
In base 15, what is 5 + 64?
69
In base 4, what is -3213 - 200?
-10013
In base 10, what is 75 - 2?
73
In base 2, what is 101 - -10?
111
In base 14, what is -1 + 9b?
9a
In base 4, what is -11 + 2?
-3
In base 8, what is -5076 + 4?
-5072
In base 16, what is -85 - 0?
-85
In base 13, what is 3 - -b8b?
b91
In base 13, what is 45 + 63?
a8
In base 9, what is -262 + -1?
-263
In base 12, what is 2 - 13b?
-139
In base 14, what is 4 + 1319?
131d
In base 7, what is 145 - 4?
141
In base 16, what is c + 6e?
7a
In base 10, what is -1228 + 9?
-1219
In base 4, what is 2003210 - -11?
2003221
In base 13, what is 2a3 - -6?
2a9
In base 14, what is 14 - -a?
20
In base 8, what is -6 - 35?
-43
In base 7, what is -205 + 4?
-201
In base 9, what is -52 + 25?
-26
In base 3, what is -20222 - -10?
-20212
In base 11, what is -4 + -225?
-229
In base 10, what is -1 - 226?
-227
In base 10, what is -203 + -42?
-245
In base 2, what is -11101 + -10100010?
-10111111
In base 9, what is 168 - -10?
178
In base 2, what is -110 - -101011000?
101010010
In base 5, what is -103 + -2233?
-2341
In base 12, what is 60 - -5?
65
In base 11, what is 5 + 43?
48
In base 16, what is -12 + 25?
13
In base 9, what is -20 - -100?
70
In base 6, what is -2 - 3154?
-3200
In base 15, what is 157 + d?
165
In base 12, what is -360 - -b?
-351
In base 12, what is -57 + 1?
-56
In base 4, what is 2 - -120?
122
In base 15, what is b + -2?
9
In base 10, what is 1220 - 6?
1214
In base 9, what is -4 - 87?
-102
In base 3, what is 1 + 1110020?
1110021
In base 3, what is 1 + -10001102?
-10001101
In base 12, what is 2 + 38?
3a
In base 7, what is 6 - -135?
144
In base 9, what is 1 + -40?
-38
In base 16, what is -4 + 15b?
157
In base 14, what is -275 + 0?
-275
In base 9, what is 27 - 2?
25
In base 15, what is 5 + -3a?
-35
In base 16, what is 56 + -7?
4f
In base 8, what is -40 - -5?
-33
In base 6, what is -1 + 1214?
1213
In base 11, what is -15 + 90?
76
In base 7, what is 100 - -230?
330
In base 13, what is 72b - 1?
72a
In base 12, what is -1b5 - -1?
-1b4
In base 16, what is -26 + -67?
-8d
In base 10, what is -18 - -14?
-4
In base 11, what is 60 - -a2?
152
In base 11, what is 5 - 7a?
-75
In base 5, what is -10 + 14321?
14311
In base 13, what is 643 - 4?
63c
In bas | {
"pile_set_name": "DM Mathematics"
} |
*r. What is n(5)?
1
Let z(d) = -40*d**2 + 0*d**3 - d**3 + d + 1 + 35*d**2. Let f be -1 - -1 - 1 - -1. Let p be 1 + 2*-3 + f. Calculate z(p).
-4
Let p(g) be the second derivative of -g**5/20 + g**4/3 + 7*g**3/6 + g. Let f(h) = h**3 - 4*h**2 - 7*h + 1. Let i(t) = 5*f(t) + 4*p(t). What is i(5)?
-5
Let x be 3*6/(-9) - -11. Suppose 5*w + 5*o + 5 = -10, 5*o + x = -4*w. Let l(n) = 2 + 4*n + 2 - 3*n. Determine l(w).
-2
Let m(d) = d + 7. Suppose 5*p - 12 = -4*h, 2*h = 5*p + h + 3. Give m(p).
7
Let i(r) = -2*r**2 - 3*r - 1. Let a(n) = n**3 + 7*n**2 + 4*n - 7. Let w be a(-6). Suppose 0*h = -w*h - 10. Give i(h).
-3
Let i(c) = 9*c + 6. Let u(o) = 26*o + 25. Let g(t) = -13*t - 12. Let k(h) = -7*g(h) - 3*u(h). Let d(l) = 7*i(l) - 5*k(l). What is d(3)?
-9
Let x(o) = -o**3 + 8*o**2 - 7*o + 2. Let t(g) = -g**3 + 8*g**2 - 7*g + 3. Let n(z) = -5*t(z) + 4*x(z). What is n(7)?
-7
Let r(n) = -n**3 + 7*n**2 - n + 3. Let s = -37 - -44. Determine r(s).
-4
Let z(s) = -2*s**3 - s**2 + 2*s - 1. Let c(h) = h + 3. Let r be c(-5). Give z(r).
7
Suppose 5*k + 5*a - 35 = 0, 0 = 4*k - k + 2*a - 16. Suppose -2 = k*v + 12. Let l(f) = -f**2 - 6*f + 2. What is l(v)?
-5
Let n(c) = c**2 - 6*c + 7. Let s(j) = j**2 - 6*j + 8. Let h(z) = -4*n(z) + 3*s(z). Give h(4).
4
Suppose w - 2 = 1. Let q(p) = p**3 - 7*p**2 - 9*p + 12. Let t be q(8). Suppose -w*y + y = t. Let k(x) = 2*x**2 - 3*x - 2. Calculate k(y).
12
Let d(j) = -j + 2*j + j**2 + 0*j + 11. What is d(0)?
11
Let b(o) = o. Suppose 3*p + p - 8 = 0. Suppose 2*r + 9 = -y, -y - 17 = r + p*y. What is b(r)?
-2
Let i(t) be the second derivative of -t**2 + 1/20*t**5 - 1/12*t**4 - 2*t + 0 + 0*t**3. Determine i(2).
2
Let p(r) = r**2 - 11*r - 11. Let h(b) = -b**3 + 12*b**2 + 3*b - 25. Let l be h(12). Give p(l).
-11
Suppose -9 = 3*d - 6*d. Suppose -3 = -d*p + 2*p. Suppose -4*k = -3*k + p*x + 16, 5*x + 25 = 0. Let y(i) = -4*i**3 - i**2 + 1. Calculate y(k).
4
Let b(m) = m**3 + 7*m**2 - m - 2. Let o(d) = 2*d**3 + 8*d**2 - 2. Let z(k) = -3*b(k) + 2*o(k). What is z(4)?
-2
Let h be 12/(-2) - (0 + -1). Let v(o) = 4*o - 3 + 7*o + 0*o - 12*o. Calculate v(h).
2
Let z(t) = 15*t**2 + t - 19. Let k(o) be the second derivative of -7*o**4/12 + 9*o**2/2 + 3*o. Let a(i) = 13*k(i) + 6*z(i). Give a(7).
-4
Let j(r) be the third derivative of -r**6/60 - r**5/15 - r**3/6 + 15*r**2. Give j(-3).
17
Let m(s) = 41*s**2 - 119*s**2 + 3 + 39*s**2 + 4*s + 40*s**2. Let a = -2 - 0. Calculate m(a).
-1
Suppose 0 = 4*t + 1 + 15. Let i(a) = 3 - a - 4 - a. What is i(t)?
7
Let b(p) = -p**3 - 4*p**2 - 4*p. Let h(o) be the first derivative of -o**3/3 + 3*o**2/2 + 7*o - 5. Let q be h(5). What is b(q)?
3
Let g(n) = 3*n**2 - 7*n - 12. Suppose 0 = -4*v - 5*r - 59, -2*v - r = 2*v + 47. Let t(k) = k**2 - 2*k - 4. Let b(w) = v*t(w) + 4*g(w). Determine b(6).
-4
Let w(o) = 2*o - 10. Let d be w(7). Let i(y) = 2*y - 5. Let v(p) = -10*p + 26. Let t(j) = -11*i(j) - 2*v(j). What is t(d)?
-5
Let x(t) = -t + 2. Let n(z) = -z**2 - 8*z - 5. Let g be n(-7). Let y = 2 - g. Calculate x(y).
2
Let l(m) be the third derivative of m**5/20 + m**4/24 - m**3/6 + 3*m**2. Let s be 2/8 + 9/12. Determine l(s).
3
Let m(h) = h - 8. Let d be m(8). Let t(y) be the second derivative of -y + 1/6*y**3 - y**2 + d. Determine t(-3).
-5
Let m = 11 - 5. Suppose -m = -5*p - 1. Let s(g) = -3*g**3 + g**2 - 2*g + 1. What is s(p)?
-3
Let b(r) = -14*r**3 - 18*r**2 - 45*r + 2. Let x(q) = 5*q**3 + 6*q**2 + 16*q - 1. Let w(a) = 4*b(a) + 11*x(a). Let z = 11 + -16. Give w(z).
-8
Let n(t) = 2*t**3 - 7*t**2 + 4*t - 8. Let q(j) = 3*j**3 - 8*j**2 + 5*j - 9. Let h(o) = -4*n(o) + 3*q(o). What is h(-4)?
9
Let l(m) = m**2 + 2*m - 3. Suppose -4*w - 1 = -9. Calculate l(w).
5
Let n(o) = -2 - 2*o**2 + 5*o + o**2 + 4*o**2 - o**3. Suppose 4*a + 3*p - 22 = 0, 0 - 12 = -a - 4*p. Determine n(a).
2
Let v(d) = -8*d**2 - 6*d - d**3 + 14*d**2 + 1 + 5. Let n(t) = t**2 + t - 1. Let g be n(2). Give v(g).
1
Let i(b) = -b**2 + 6*b + 1. Suppose 3*j = 3*r - 8*r + 30, -4*r + 24 = -4*j. Calculate i(r).
1
Let n(b) be the second derivative of b**3/6 - b**2 + 24*b. What is n(0)?
-2
Let k be 64/28 + (-4)/14. Let z be ((-8)/10)/(k/5). Let j(a) = -3*a**2 - 2*a. Calculate j(z).
-8
Let t(r) = 2*r**2 - r + 1. Let i be -1*(-5 - (-4)/1). What is t(i)?
2
Let y be (-24)/56 + 38/7. Suppose 5*j = -y, -7*n + 3*n + 10 = 2*j. Let k(q) = q**2 - 3*q. Determine k(n).
0
Let m(p) = -3*p**2 + 17*p - 9. Let c(v) = -4*v**2 + 25*v - 14. Let a(b) = -5*c(b) + 7*m(b). Let w be a(-6). Let n = w - 4. Let i(d) = d**2 - 2*d + 2. Give i(n).
5
Let d(n) = 6*n**3 - n**2 - n - 2. Let v(j) = j**3 - j**2 + j + 1. Let r(u) = d(u) - 5*v(u). Determine r(-5).
-2
Let j(p) = 9*p - 1. Suppose -2*y = -q + 9, -11 = -5*q + 2*y + 2. Determine j(q).
8
Let i(x) be the second derivative of -x**5/20 - x**4/2 - 5*x**3/6 + 2*x**2 + 3*x + 3. Let a = -8 - -3. What is i(a)?
4
Let l(x) be the second derivative of -x**5/20 - x**4/4 + x**3/6 + 3*x**2/2 + 8*x. Calculate l(-3).
0
Let a(g) = g. Let b(v) = -9*v - 1. Let l = -3 - -4. Let w(m) = l*b(m) + 6*a(m). Let r(f) = f. Let y(p) = -11*r(p) - 4*w(p). Determine y(-5).
-1
Let k(f) be the first derivative of -f**3/3 - 7*f - 4. Give k(0).
-7
Let d(b) = -5 - 3 - b + 22 - b**2 - 10. Let m(h) = -h + 6. Let q be m(6). Calculate d(q).
4
Let w(q) = 7 - 4*q - q**2 - 2 + 2*q**2. Suppose -5*p = -4*t - 8, 4*p + 4*t - t - 25 = 0. Suppose p + 4 = 2*o. Determine w(o).
5
Let d(o) be the third derivative of -o**5/60 - o**4/24 - o**2. Let r(t) = 2*t + 7. Let q be r(-5). Determine d(q).
-6
Let k(m) be the first derivative of -m**4/4 + 8*m**3/3 - 7*m**2/2 + 4*m + 29. Calculate k(7).
4
Let o = -244 + 242. Let t(u) = 8*u - 2. Let q(f) = -9*f + 2. Let s(n) = 2*q(n) + 3*t(n). What is s(o)?
-14
Let r(p) = -p**2 + 4*p + 5. Let h(s) = -s - 11. Let b be h(-16). Calculate r(b).
0
Let x(c) = c. Let q(i) = 5*i + 2. Let g(h) = 3*h + 1. Let n(a) = 7*g(a) - 4*q(a). Let y = 4 + -8. Let f be n(y). Give x(f).
-5
Let i(s) = s**3 + 4*s**2 + 5*s + 4. Let p be i(-3). Let g = 7 + p. Let u(r) = r + 6. Let o(c) = 3*c + 13. Let h(j) = g*u(j) - 2*o(j). What is h(5)?
-1
Let i(w) = w**2 + 5*w + 4. Let z be i(-5). Let n(o) = 4 - z - o**2 + 3*o. Calculate n(4).
-4
Let y(f) = -f**3 - 3*f**2 + 4*f + 6. Let q be y(-4). Let l(x) = 4 + x - q + 3. Suppose -1 = 3*g - r, r + r + 14 = -2*g. What is l(g)?
-1
Let n(h) = -3*h**3 + 9*h**2 + 5*h - 5. Let p(o) = -2*o**3 + 4*o**2 + 2*o - 3. Let v(m) = -3*n(m) + 5*p(m). Give v(-6).
-6
Let z = 10 - 14. Let b(q) be the third derivative of 0 + 0*q + 1/6*q**3 + 4*q**2 + 1/24*q**4. Give b(z).
-3
Let n(b) be the first derivative of 4*b**3/3 + b**2 + b - 2. Calculate n(-1).
3
Let o(d) = -3*d + 1. Let l be ((-2)/4)/((-8)/16). Suppose 0 = 3*x - 6*x + 6. Let z be 1/(1/x)*l. Calculate o(z).
-5
Let a(g) = -g**2 + 9*g + 6. Let r(w) = w - 1. Let v(s) = -a(s) + 4*r(s). Give v(7).
4
Let l be (-2 + 1)/(2/6). Let r(z) = 11*z**2 - 4 - 2*z**2 - 4*z**2 - 6*z**2 - 4*z. What is r(l)?
-1
Let j(m) = -m**2 + 19*m - 86. Let c be j(12). Let k(y) be the second derivative of -y**4/12 - y**3/3 + y**2 - y. Determine k(c).
2
Let m(i) = -i**2 + 3*i - 4. Let q be 360/84 - 4/14. Give m(q).
-8
Let o(w) = w**2 - 7*w + 1. Let t be (0/4 - -6)/(-1). Let z = 1 - t. Give o(z).
1
Let b(g) = g**2 - 3*g + 1. Let k be 2 - (-20)/(-6) - (-64)/12. Determine b(k).
5
Let y(t) = -t**3 + 9*t**2 - 2. Let j be y(9). Let r(p) = -2*p**2 - 3*p - 3. Calculate r(j).
-5
Let j be 0 - 8/2*-1. Let u = -2 + j. Let z(d) = d + 1. Let k(p) = 2. Let i(q) = 4*k(q) - 5*z(q). What is i(u)?
-7
Let k(h) be the third derivative of h**5/60 + h**4/8 - 7*h**3/6 + 21*h**2. Let q(a) = -a + 6. Let m be q(7). Let t be (-3 - m - 0) + -3. What is k(t)?
3
Suppose 4*n - n = 0. Let l(z) = z**3 + z**2 + z - 3. What is l(n)?
-3
Suppose 2*f - 5 - 3 = 0. Let s(t) be the third derivative of -t**6/120 + t**5/20 + t**4/24 + 2*t**3/3 + t**2. What is s(f)?
-8
Let s = -8 + 21/2. Let h(l) be the first derivative of -1/4*l**4 - 4/3*l**3 + s*l**2 + 3 + 5*l. Calculate h(-5).
5
Let i be 3 - ((-8)/(-4))/2. Suppose 0*b = 2*b - 6. Let p(k) = -b + 3 + k - k**2. What is p(i)?
-2
Suppose 3*b = 4*b - 5. Suppose -4*t - 4 = -4*z, -4 = 2*z - 0*t + 4*t. Let k(s) = z*s - s - 3 + 10 + 5. What is k(b)?
7
Let g be ((-8)/(-10))/(4/10). Let l(i) = i - i**2 + 2*i - 2*i**g - i**3. Suppose -10*t + 9*t - 10 = 2*m, 1 = | {
"pile_set_name": "DM Mathematics"
} |
- 10) - 50?
-55
-11 + -3 + -16 - (0 - ((5 - 0) + -4))
-29
What is the value of -3 - 14 - (62 - 16 - 84)?
21
Calculate (0 + 14 - (-79 - -195)) + 17.
-85
What is (136 - (-19 - -27)) + -16 - (-6 - -2)?
116
Calculate -39 + 17 + -7 + 21.
-8
What is -1 + 9 - (93 + 14 + -27 + 12)?
-84
Evaluate 3 + 3 - (34 + -49).
21
Calculate 28 + 93 + (-2 + 4 - 2) + (-4 - -2).
119
10 - (16 + -11 + (-8 - 2) - (15 + -17))
13
What is the value of (-2 - (21 - 67)) + (9 - 8) + -10?
35
Calculate 1 + 2 - 10 - (39 - (-12 + 19)).
-39
What is the value of (-4 - (27 - -38)) + 66?
-3
17 + -4 - -52 - (-1 - (4 + 1 + -6))
65
0 - (-11 + -9 + 8 + (36 - -4))
-28
6 + (-7 - -1) - -1 - (-499 + 519)
-19
-192 + 232 - (-5 + -76 - 17)
138
What is 20 + 32 - 7 - 55?
-10
Evaluate 56 - (-3 + 2) - (-116 + 98 - -4).
71
What is (-2 - -30 - -37 - (-1 + -2)) + -2?
66
Evaluate 60 - (-66 + 138) - -19.
7
What is (-1 - 5) + 21 - (334 + -318)?
-1
What is the value of (1880 - 1875) + (2 - 21)?
-14
What is the value of 28 + 7 + 1 - ((-10 - -21 - 17) + -1)?
43
31 - (-13 - -8) - (-164 - -287)
-87
-9 + (-7 + 28 - 6 - 7) - -23
22
What is the value of 4 + -10 - ((-10 - (13 + -14 - 7)) + -27)?
23
What is -3 + 4 - (-78 + 0 + (4 - 16 - -11))?
80
What is (67 - 78) + -33 + -66?
-110
What is the value of -24 + 48 + -52 - (40 + -12)?
-56
What is the value of 8 + 1 - (-3 + (-16 - -26) + -22)?
24
What is 52 - ((-18 - -53) + -50)?
67
Evaluate 69 - 145 - (-2 - 14).
-60
Evaluate (35 - -11 - 55) + 16.
7
What is the value of 20 + -23 - (-5 + 21 + -11)?
-8
Calculate (-34 + 43 - -23) + -78 - (-2 + (0 - -3)).
-47
What is the value of (4 - (-78 - -2)) + 6 + 12 + 10 + -21?
87
Evaluate -9 + 7 + (-3 + 4 - -5) - (3 + 0).
1
Calculate (5 + -13 + 5 - (1 + -36)) + (-727 - -730).
35
63 + (-137 - -55) - 77
-96
What is the value of -2 + 26 - (-452 - -511)?
-35
What is -539 + 551 - (1 - (5 + -3)) - 18?
-5
What is the value of 36 + -1 + -22 - 23 - (1 - -4)?
-15
Calculate 8 - 6 - (0 + -93 + -5 + 43 + -48).
105
Evaluate (-112 - -105) + (23 - 2).
14
Calculate 2 + (446 + -442 - (31 - (-2 - 0))).
-27
(-3 - -26) + 157 + -86
94
18 - (9 + 14 + -19 - 6)
20
Calculate 63 + 83 + -100 + -11.
35
-10 - (-41 - (-22 + -12))
-3
What is the value of (-6 + 1 + 14 - (-12 - -20)) + 3 - 20?
-16
Calculate 46 + (-325 - -335 - ((2 - 0) + 3)).
51
Evaluate 47 - (-1 + 2 + -3 - (-13 - 16 - -19)).
39
What is the value of -53 - (7 + -43) - (-4 + 55 - 1)?
-67
What is the value of (3 - -127) + -71 - (1 - -12)?
46
Evaluate 22 - -1 - (2172 - 2189).
40
Evaluate (-12 - -29) + -70 + (0 - 23).
-76
Calculate 17 + (-66 - -33) + -16.
-32
Calculate (-88 - -65) + 49 + 3 + -5.
24
-74 - (-17 + 28 - 56)
-29
What is -1 + -11 + (-11 - -5 - -14) - 67?
-71
What is the value of 49 - (-6 + 4 + -27 + 45)?
33
Evaluate -12 + 1 + -110 + 29 + (24 - 41) + -4.
-113
106 + -20 + -111 + 137
112
3 - (-212 + 231) - (1 - -1 - -56)
-74
72 + (-86 - 41 - -79)
24
Evaluate 2 - -4 - (53 + 7 + (8 - 17) + -3).
-42
Evaluate 18 - -32 - (3 - (35 - 11)).
71
Calculate 167 + 76 + -166 - 127.
-50
What is the value of -32 - (-32 + -17 + 45 - (3 + 3))?
-22
69 - (-17 + 56) - 77 - (-20 - -2)
-29
(1 - -3) + (28 + -84 - -72) + 9
29
Evaluate -2 + 1 + (165 - 207).
-43
What is the value of -35 - (1 + -8 - (537 - 527))?
-18
What is the value of 25 - 1 - (-84 - (-77 + -17)) - (-75 - 0)?
89
What is -36 - (-32 + 4) - -40?
32
What is the value of (7 - (3 - -1)) + (32 - 18)?
17
Evaluate -64 + -6 + 12 + (79 - 61).
-40
What is the value of (-38 - -133) + -213 - (-6 + -9)?
-103
What is -41 + -10 + 57 + 76?
82
Evaluate 1 + -67 - -8 - (4 + -7).
-55
Evaluate (-11 + 110 + -8 - -16 - 15) + -16.
76
What is (-240 - -221 - (4 + -1 - 1) - -11) + 77?
67
Calculate (-5 + -24 - -26) + (-4 - (0 - -63) - 1).
-71
-62 + -20 + (11 - 4) - (3 + -13 + 4)
-69
Evaluate 24 + 19 + -47 + -26 + 34.
4
-9 + -4 + (73 - 68 - -48)
40
Calculate (522 - 468) + (-107 - -6).
-47
What is -211 + -148 + (-103 - -318)?
-144
Evaluate 54 + 0 + 0 - -1 - (-413 + 410) - 6.
52
What is (-8 - -27) + -3 + 28 - 15 - 15?
14
What is the value of -17 + 19 + (-44 - -20) + 14 + 43?
35
Evaluate -69 + 0 + (-163 + 64 - -71).
-97
What is the value of -1 - -11 - (11 + 18) - (257 - 241)?
-35
Calculate (18 + -5 - 11 - (-1 + 7)) + 16 + 0.
12
-39 + 21 + 4 - 39
-53
(19 - (-89 - (13 - (-15 - -45)))) + -2
89
Evaluate -47 + -28 + 82 + (-4 - -3) + 0 + 17.
23
0 + 42 - ((17 - 10 - 2) + (1 - 8))
44
Evaluate -51 + -50 + (21 - 12).
-92
What is the value of 50 + (-38 + 16 - 1)?
27
What is the value of (50 + 1 - -7) + -12?
46
What is -55 + -27 - (44 - (16 + -3))?
-113
What is (26 - 16) + -21 + (-3 - -10) + 3?
-1
(3 - -2) + -3 + (-14 - -6)
-6
Calculate 6635 + -6630 - (-1 - -13).
-7
Calculate -13 + 41 + -69 - (-9 + 26).
-58
What is the value of (53 - -16) + (-43 - (-23 + 4))?
45
Calculate (304 - 318) + (3 - -70) + 6.
65
Calculate 4 + (-19 - (7 - 14)) + 46 + -6.
32
What is -14 + (11 - (6 - 4)) - (5 + 2)?
-12
What is (5 - (27 + (-28 - -30))) + 36?
12
What is 10 + (69 - 71) - (19 - 0) - -4 - -132?
125
5 - (-3 + 1) - (17 - -22 - 25)
-7
Calculate (-9 - 1) + (30 - -31 - 18 - -16) + 11.
60
Evaluate -86 + (-987 - -979) + (0 - -23).
-71
Calculate (-52 - (6 - 16)) + (238 - 250).
-54
What is the value of 0 + -6 + -2 + 485 + -502?
-25
What is the value of (5 - (-5 - -22)) + (-15 - (-24 - -15))?
-18
What is -14 - (-22 - (38 - -13) - -19)?
40
-47 + (-23 + 74 - 7)
-3
Evaluate -7 - ((-1 - 1) + -2 - ((-75 - -2) + 77)).
1
What is (64 - 180) + 63 + 57?
4
Evaluate 8 - (2 - -1) - (-31 + 17 + 12) - -13.
20
Evaluate 11 + 0 + (2795 - 2797).
9
Evaluate (48 - (-15 + 15)) + -17.
31
Evaluate -9 - -3 - (-78 + 31 - -50).
-9
19 - (-2 - 1 - (-67 + 122 - 6))
71
-69 + (21 - -34) + (16 - (-4 + 2))
4
Evaluate -9 - (-3 - -1 - (-7 - -19)).
5
Evaluate -10 + (-24 - -25) - (89 - 4 - (2 + -2)).
-94
What is 10 + -5 + (45 - (2 + -9 + 26))?
31
Calculate 35 + -30 + -18 - ((17 - -12) + -13).
-29
1 + -5 + (-43 - -84 - 57) + 10
-10
19 + 129 + -85 + -12 + 1 - 0
52
(-7 - (-12 + 8)) + 15 - (1 - 3)
14
Calculate -10 + (-6 - 9) - (-32 + -31).
38
Calculate -17 - (-9 + -89 + 86 + (87 - 1)).
-91
Calculate -22 + 1 + (64 - 18) + -40.
-15
Evaluate 8 + (7 + -7 - (6 + (12 - -14))).
-24
What is 5 + -18 + 53 + (0 - (9 - 6))?
37
Calculate (-12 + (13 - -28) - 63) + 0 + (-2 - -15).
-21
What is the value of 79 + (4 - -1) + (-25 - -16) + -3 - 6?
66
What is (-76 - 0) + (-3815 - -3841)?
-50
Evaluate 0 + 2 - 8 - (127 - (96 + -16)).
-53
Evaluate -39 + (56 - (-37 - -45)).
9
What is 1 + -63 - (-7906 - -7851)?
-7
Calculate -1 + 11 + 46 + -16 + -22 - 1.
17
What is -5 - (-38 + 52 + -30)?
11
Calculate (-1 - -1) + 3 - (1033 + -1035) - -12.
17
Calculate -3 + 2 + (2 - 6) + -44 - -14.
-35
What is 4123 + -4163 + -2 + (-28 - -3)?
-67
What is 0 + -21 + (13 - (-50 - -16))?
26
What is -108 - -49 - 58 - -53?
-64
(-16 + -46 - -79) + (-43 - (-3 - -3))
-26
What is 39 - 7 - ((-13 + 6 - 6) + 18)?
27
(3 + 8 - 5) + (-12 - -27 - 3)
18
Calculate 4 + (11 - (8 + -2)) - (6 - 1 - -69).
-65
Evaluate 8 + 0 + -930 + 950.
28
Calculate (-29 - (-11 - (4 - -7))) + 6 + -2.
-3
-80 - ((-32 - -2) + 5 - (417 + -441))
-79
(118 - 114) + 48 + -1
51
What is the value of (-71 - -96 - (22 - (-1 + 7))) + (-1 - -54)?
62
Calculate 7 - ((-4 - (-3 - 0)) + 2 - (-108 + 100)).
-2
What is the value of -3 - (4 + (6 - 7) + (2 - 6) - 0)?
-2
What is -3 + -100 + 94 - 101?
-110
What is the value of -60 + (7 - (-58 - 9))?
14
What is -11 - (78 + -55 - 45)?
11
Evaluate -8 - -4 - -4 - (12 + (-27 - -26)).
-11
What is 25 + -110 - -69 - ((0 - 1) + 11)?
-26
Calculate (3 - (-54 - (13 - (-6 + 16)))) + -8 - 5.
47
What is the value of -21 - (-30 - -17) - (0 + -2 + -32)?
26
What is the value of -36 - (62 + -96 + 53)?
-55
148 + -42 + (15 - 31 - -6 - (-3 + 6))
93
47 + 7 + (-11 - (-9 - (2 + -21) - 24))
57
Evaluate -8 - ((4 - (-29 - (5 - 14))) + 5 + -8).
-29
34 - (-29 + -35 + 38)
60
Calculate (5 + 51 - -30) + -14 + 33.
105
What is -17 - (124 + -58 + 14)?
-97
Calculate 12 + (-8 - -10 - 49) + (-1 - -20).
-16
What is (48 - 1) + -62 + 31?
16
Calculate 258 + -224 + 0 + -81 + 6 + -18.
-59
Calculate -54 - (52 + -215 + 83).
26
What is the value of (12 - 32 - (-21 - 13)) + -17?
-3
What is the value of (49 - 8) + 13 - (7 + (0 - (-1 - 2)))?
44
Calculate 2 + 83 - (8817 - 8809).
77
Evaluate 37 - (-56 + (-16 - -157)).
-48
Evaluate ((-2 - 15) + (-17 - -3) - -5) + (-15 - -25). | {
"pile_set_name": "DM Mathematics"
} |
y (n**(2/23)*n)/(n**(-39)*n) assuming n is positive.
n**(899/23)
Simplify h**1/(h*h**(-3))*(h**1)**7 assuming h is positive.
h**10
Simplify (w/w**7*w/(w*w**(-10)))**(-5/6) assuming w is positive.
w**(-10/3)
Simplify p*p**(3/22)*p**2 assuming p is positive.
p**(69/22)
Simplify ((t**(2/7))**1)**(5/11) assuming t is positive.
t**(10/77)
Simplify (j/(j*(j*j**1)/j))**(-18/13)*j**2*j*j*j**(5/3)*j assuming j is positive.
j**(314/39)
Simplify j/j**(-1)*j/(j*j**(3/4)/j*j)*(j**(1/4)*j)**(-16) assuming j is positive.
j**(-75/4)
Simplify o*o**5*((o/(o*o**(6/11)*o))/o*o)/o assuming o is positive.
o**(38/11)
Simplify (l**2*l**(-3))**(-11) assuming l is positive.
l**11
Simplify (x*x*x**6)**12 assuming x is positive.
x**96
Simplify (l**(2/3)*l**(-2/5))/(l/l**(2/7)*l*l*l/(l*l**5/l)) assuming l is positive.
l**(163/105)
Simplify (t*t*t*t**(-10)*t*t)**38 assuming t is positive.
t**(-190)
Simplify r**(1/7)/r**(2/9)*r/r**(-6/7)*((r/(r*r/(r*r/r**(-5))*r))/r)/r*r assuming r is positive.
r**(52/9)
Simplify (t**(-2/23)/t)/((t*t/(t/(t*t*t**(4/11)))*t*t)/t) assuming t is positive.
t**(-1379/253)
Simplify (u*u*u**(-2)/u)**(-4/13)*(u/u**(-1))/(u/((u*u/(u*u**(5/3)))/u)) assuming u is positive.
u**(-14/39)
Simplify (z/(z**(-2)/z*z*z*z))/z**(1/11)*(z**3/z)/z**(-2/3) assuming z is positive.
z**(118/33)
Simplify s*s*s/s**(3/2)*(s/s**(-8))/s*s**(1/5)/(s*s/(s*s/s**(-4))) assuming s is positive.
s**(137/10)
Simplify (p**(-3)*p**(3/2)*p)**(2/87) assuming p is positive.
p**(-1/87)
Simplify (d**13/d*d)/(d/d**1) assuming d is positive.
d**13
Simplify (g**(-1/2)/g)**(-46/5)*g**(4/5)*g*(g*g**6/g)/g assuming g is positive.
g**(103/5)
Simplify (t/t**0)**(5/6)/(t**(2/5)*t)**(1/21) assuming t is positive.
t**(23/30)
Simplify o**(-3/4)/o*o/(o*(o**5/o)/o)*(o/((o**(2/7)/o)/o))**(-18) assuming o is positive.
o**(-1501/28)
Simplify (w*w/w**(-1/4)*w)/(w*w**(5/2))*w**5*w*(w/(w*w**6*w*w))/w assuming w is positive.
w**(-13/4)
Simplify (o*o**(-2/3))**(-9/4)*o**8/((o/((o*o**(-3))/o*o))/o) assuming o is positive.
o**(21/4)
Simplify ((g*g**(-8/3)*g*g)/g)**(2/5) assuming g is positive.
g**(-4/15)
Simplify (u**(-6))**(-5/4) assuming u is positive.
u**(15/2)
Simplify (i**(-1))**(-32/7)/(i/(i/i**1))**(-29) assuming i is positive.
i**(235/7)
Simplify ((m*m**(1/3))**(-17))**(-12/7) assuming m is positive.
m**(272/7)
Simplify (u**(-1/2)/(u/((u*u**2)/u)))/((u**2*u*u)/(u*(u**(2/5)/u)/u)) assuming u is positive.
u**(-41/10)
Simplify (w**(-8/9)/w)**41 assuming w is positive.
w**(-697/9)
Simplify (m/((((m/m**(2/9))/m)/m)/m))**(7/5) assuming m is positive.
m**(203/45)
Simplify (n**(-6)*n*n/((n/((n*n/(n/(n/(n/((n*(n**(-5/2)/n)/n)/n)))))/n*n))/n))/((n*n/n**(-5/6))/n*n/(n/((n**(-2/19)/n)/n))) assuming n is positive.
n**(-412/57)
Simplify ((x*x*x*x**1)**(-7/5))**(-2/85) assuming x is positive.
x**(56/425)
Simplify (u*u*u**(-1/2)*u)/u**(-17/5) assuming u is positive.
u**(59/10)
Simplify (j**(-8)*j*j*j/j**(1/12))/(j**(2/3)/j)**1 assuming j is positive.
j**(-19/4)
Simplify w**11/(w*w**(6/13)*w)*(w**(-1/2))**(-7/10) assuming w is positive.
w**(2311/260)
Simplify (l**(-1/3))**(-9/11) assuming l is positive.
l**(3/11)
Simplify m**(2/3)/m*(((m/(((m*m**18*m*m)/m)/m))/m)/m)/m assuming m is positive.
m**(-64/3)
Simplify (z**(-3/5)/(z**2*z))**(-2/11) assuming z is positive.
z**(36/55)
Simplify ((t**(1/3)*t)**6)**(-1/16) assuming t is positive.
1/sqrt(t)
Simplify (m/m**18)**(-3/8) assuming m is positive.
m**(51/8)
Simplify k/((k*k/(k/(k*k**(-28))))/k)*k*k*k**(10/3) assuming k is positive.
k**(100/3)
Simplify (((o*o**(1/14)*o)/o*o)/((o/o**0)/o))/((o**(-5)*o)/o**3) assuming o is positive.
o**(127/14)
Simplify w**(-2/9)*w/(w/(w**(-1/2)/w)*w)*(w/w**(1/11))/(w/(w*w/(w*w**2))) assuming w is positive.
w**(-755/198)
Simplify (v**(-6)*v/(v/(v/v**(-4))*v))/(((v**(1/2)*v)/v)/(v*v**(-2/15))) assuming v is positive.
v**(-49/30)
Simplify h**(-8)*h**(-15)/h assuming h is positive.
h**(-24)
Simplify (((t**0/t)/t)/(t**3/t))/(t**0)**(-18) assuming t is positive.
t**(-4)
Simplify (z*z**(-2/7))**(-21/4)/((z/((z**(1/4)/z)/z))/(z**5*z)) assuming z is positive.
1/sqrt(z)
Simplify (q*q**(2/11))**31*q**(-3)*q/(((q**5*q*q)/q)/q)*q assuming q is positive.
q**(337/11)
Simplify ((s/(s/s**5))**(-10/7))**(-2/23) assuming s is positive.
s**(100/161)
Simplify (p*(p/((p/((p*p**11*p)/p))/p))/p*p*p)/(p**(-2/77)/p*p) assuming p is positive.
p**(1157/77)
Simplify ((o**1)**33)**(-44) assuming o is positive.
o**(-1452)
Simplify o**(-1/5)/(o*o**(-7/6)*o*o*o) assuming o is positive.
o**(-91/30)
Simplify (d/d**(-18))/(d/(d/(d**(-1/14)/d)*d)) assuming d is positive.
d**(295/14)
Simplify v**(23/2)/(v/(v**(-4/13)*v)) assuming v is positive.
v**(291/26)
Simplify ((o**0*o)/o**(2/11))**10 assuming o is positive.
o**(90/11)
Simplify ((d/((d**1/d)/d))**(4/3))**(4/35) assuming d is positive.
d**(32/105)
Simplify (u**(-2))**(1/12)*(u**(-2/7)*u)**(-6) assuming u is positive.
u**(-187/42)
Simplify k**(1/18)/((k**(-3/14)/k)/k) assuming k is positive.
k**(143/63)
Simplify (l*l*(l/(l*l*l**12))/l*l*l**(4/9))**(2/55) assuming l is positive.
l**(-38/99)
Simplify f**21*f/(f*f**(4/19)) assuming f is positive.
f**(395/19)
Simplify y**(-2/13)*y**(-28) assuming y is positive.
y**(-366/13)
Simplify (w**(-5)/(w**(4/9)*w*w*w))/((w*w**(-4/5)*w)/(w**4/w*w)) assuming w is positive.
w**(-254/45)
Simplify (d*d**(-4/11)*d*d)**(-2/45) assuming d is positive.
d**(-58/495)
Simplify t**21/t**(4/5) assuming t is positive.
t**(101/5)
Simplify (p**(1/2))**(20/9)*(p*p**2)/p*p*(p/(p**(-2/11)/p))/p assuming p is positive.
p**(524/99)
Simplify t**0/(t/(t/(((t*(t*t**1*t)/t*t)/t)/t)*t))*(t/(t/t**(-4/3)))/t*t**(-5) assuming t is positive.
t**(-25/3)
Simplify (o**(-1))**31/(o**(-2/5))**(2/27) assuming o is positive.
o**(-4181/135)
Simplify (d*d/(d/(d/(d/(d/((d/(((d/(d*d**(-2/7)))/d)/d)*d*d)/d*d)))*d))*d*d)/d**(-1/11)*(d/(d/d**(-2)*d))**(-8/5) assuming d is positive.
d**(1993/385)
Simplify w**(-2/9)*w**(-4)*((w*w**4/w)/w)/(w*w/(w**(-3/7)*w)*w*w) assuming w is positive.
w**(-293/63)
Simplify (w*w**(-7)/w*w**(-3/4)/w)**(1/40) assuming w is positive.
w**(-7/32)
Simplify t/(t*((t**(-3/31)/t*t*t)/t*t)/t)*t**(2/65)*t*t assuming t is positive.
t**(4287/2015)
Simplify (v**(1/7)/(v**(-1/6)/v))/((v/v**3)/v**(-7)) assuming v is positive.
v**(-155/42)
Simplify (p**6/((p**(-1)*p)/p))**(-2/97) assuming p is positive.
p**(-14/97)
Simplify (q**(-1))**(1/5)*(q**(-2/7))**(2/93) assuming q is positive.
q**(-671/3255)
Simplify ((z/z**(-5)*z)/z)/(z/(z*z**(-3)))*((z/(z**(2/5)*z))/z)**(-6/5) assuming z is positive.
z**(117/25)
Simplify (b**(-10)*b)/(b**(4/3)*b) assuming b is positive.
b**(-34/3)
Simplify (b**(1/3)*b/(b*b*b**(6/11)/b))/((b**(-2/3)/b)/(b*b/(b/(b*b/(b**(-2/9)*b*b)))*b)) assuming b is positive.
b**(364/99)
Simplify ((i/(i*i/(i*i**(2/19))*i))/i**(2/13))/(i*i/(i/(i*i*(i*i**(-2)/i)/i))*i**(-7)) assuming i is positive.
i**(1470/247)
Simplify (n**2*n*n**(1/3)*n)/(n*n*n**1*n*n*n*n**(-2/9)) assuming n is positive.
n**(-13/9)
Simplify (u/(u/(u**0/u)*u*u)*u)**30/(u**1*u*u/(u/u**(-3/4))*u) assuming u is positive.
u**(-249/4)
Simplify (h*h*h/((h*h**4)/h)*h*h)/h**13 assuming h is positive.
h**(-12)
Simplify (l**(4/15))**(-7/4) assuming l is positive.
l**(-7/15)
Simplify (u/u**(1/2)*u**(-2/3)/u)**(-49) assuming u is positive.
u**(343/6)
Simplify (o**8*o*(o*o*o*o**(4/5)*o)/o)**(-46) assuming o is positive.
o**(-2944/5)
Simplify ((q*q**(1/8))/q*q)/q**(-22) assuming q is positive.
q**(185/8)
Simplify (((l*l/l**1)/l)**(-49))**(-25) assuming l is positive.
1
Simplify (s**4*(s/(s/(s*s**(2/5))))/s)**(2/9) assuming s is positive.
s**(44/45)
Simplify v**(2/45)*v**(-9/5) assuming v is positive.
v**(-79/45)
Simplify ((u*u/u**4)**(38/3))**(-1/63) assuming u is positive.
u**(76/189)
Simplify (t**(-1)/(((t*t**4*t)/t)/t))/((t/t**(-1))/(t/(t*t**(-1)))) assuming t is positive.
t**(-6)
Simplify ((c*c**(-2/13))/(c*((c*c*c/(c/c**(-2/3))*c*c)/c)/c))/((c*(c*c/c**(2/3))/c*c)/c*c)**(-47) assuming c is positive.
c**(4219/39)
Simplify (f/f**28)/(((f*f/(f/(f*f**30)))/f)/f) assuming f is positive.
f**(-57)
Simplify ((i/(i*i**(2/7)/i))/((i**5*i*i)/i))/(i**(4/9)*i*i**3) assuming i is positive.
i**(-613/63)
Simplify h/(h*(h/(h**(-1/6)*h))/h)*h/h**(12/7) assuming h is positive.
h**(5/42)
Simplify ((x*x**2)/x)**(-2/5) assuming x is positive.
x**(-4/5)
Simplify (s**(-5/6 | {
"pile_set_name": "DM Mathematics"
} |
9 (base 10) in base 3?
220011010000
What is 53870 (base 12) in base 9?
177023
Convert 503606 (base 9) to base 4.
1020233010
Convert 1444065 (base 7) to base 9.
327646
Convert 2c9c3 (base 13) to base 10.
85166
Convert -1220322012 (base 4) to base 15.
-874bc
What is 6135a1 (base 11) in base 13?
286839
Convert 5774846 (base 11) to base 7.
151540355
322411422 (base 5) to base 9
2522033
1100101100001000 (base 2) to base 13
1a872
What is 65168 (base 9) in base 6?
531442
4cc088 (base 14) to base 4
22011311120
Convert 160795 (base 12) to base 9.
630475
-362049 (base 13) to base 3
-2102112010200
15211150 (base 6) to base 16
817aa
Convert 55909 (base 11) to base 3.
11010001110
3012003201 (base 4) to base 9
1465720
Convert -110001001011110101000 (base 2) to base 12.
-658834
Convert 69437 (base 11) to base 5.
11202344
What is -5802 (base 15) in base 7?
-105311
Convert b91665 (base 15) to base 12.
2b50542
What is -1215050 (base 6) in base 8?
-176146
What is 10b1b7 (base 12) in base 10?
268123
What is -35073 (base 13) in base 4?
-113213322
Convert -391711 (base 10) to base 13.
-1093a8
Convert 45101161 (base 8) to base 13.
202a00b
2d236b (base 16) to base 9
5507774
What is -306a55 (base 14) in base 11?
-a15140
-6209bb (base 14) to base 7
-40045424
Convert -30012211 (base 4) to base 7.
-264346
55ad1b (base 16) to base 14
a62347
What is 201300021333 (base 4) in base 2?
100001110000001001111111
What is -2000212121010 (base 3) in base 7?
-12115635
50a66 (base 14) to base 2
101111011001010010
4300052 (base 6) to base 10
209984
Convert -3903c (base 13) to base 12.
-51083
Convert -954d (base 15) to base 4.
-13231111
-872d8e (base 16) to base 14
-1268714
Convert -1411343121 (base 5) to base 9.
-6728877
What is -390d3 (base 14) in base 15?
-2b7be
-101131 (base 8) to base 12
-17389
What is -a07e (base 16) in base 2?
-1010000001111110
Convert 5d8d6 (base 14) to base 7.
1644056
-3022100 (base 6) to base 9
-237170
Convert -156637 (base 9) to base 8.
-274754
Convert -16625848 (base 9) to base 16.
-7f4f48
-a07316 (base 14) to base 8
-24457050
Convert 11001100101101111 (base 2) to base 5.
11323230
13237 (base 10) to base 11
9a44
Convert -1034561 (base 7) to base 12.
-61268
What is -233573 (base 9) in base 3?
-21010122110
Convert 30612c (base 13) to base 14.
214b52
Convert 1625001 (base 7) to base 12.
aa269
What is -48245 (base 11) in base 15?
-158d8
110000101010100110 (base 2) to base 15
3e0de
b5b8b0 (base 12) to base 15
3b7b19
What is 5687171 (base 9) in base 7?
35042131
Convert 209599 (base 10) to base 14.
56555
c9ac1 (base 14) to base 13
141065
-52c64 (base 13) to base 9
-246728
Convert 1200012122 (base 3) to base 5.
2023312
23c057 (base 13) to base 6
30152545
What is -8b290 (base 15) in base 12?
-194246
2020507 (base 8) to base 10
532807
What is 116568 (base 9) in base 5?
4223301
4600423 (base 7) to base 14
10c483
Convert 89476 (base 10) to base 9.
145657
294660 (base 10) to base 11
191423
What is 110000352 (base 6) in base 15?
28a9b2
-c339b5 (base 13) to base 2
-10001010110101101010011
Convert -3271601 (base 8) to base 7.
-10331036
Convert -1f1f6 (base 16) to base 7.
-1040441
3320160 (base 7) to base 3
202202000210
Convert -6704321 (base 8) to base 13.
-4b2466
What is 20301330110 (base 4) in base 2?
1000110001111100010100
What is 43073 (base 14) in base 4?
213203031
Convert -3348 (base 16) to base 7.
-53163
What is 24740475 (base 8) in base 10?
5488957
What is 341043 (base 13) in base 12?
4b4033
-425532 (base 7) to base 10
-74013
What is 1001101110111000010 (base 2) in base 12?
134682
What is 67780 (base 10) in base 8?
204304
What is -113310202 (base 4) in base 13?
-35545
Convert -314033 (base 5) to base 6.
-120410
Convert 6310432 (base 7) to base 4.
2321102113
2b951 (base 15) to base 11
965a6
-1110300011 (base 4) to base 12
-148a85
898cdf (base 16) to base 12
302887b
Convert -1001264 (base 11) to base 3.
-10100002101020
Convert -1b43914 (base 12) to base 10.
-5812576
Convert -363b940 (base 13) to base 4.
-1000022112120
10102021201 (base 3) to base 15
14e01
Convert -15324451 (base 7) to base 11.
-913435
What is 1c8a00 (base 15) in base 11?
873a25
What is -1011101110100111011 (base 2) in base 15?
-78d10
What is -10101000010000100001100 (base 2) in base 9?
-11333063
What is -20021001120 (base 3) in base 16?
-1e16b
55044220 (base 8) to base 12
3b59500
-122647 (base 8) to base 10
-42407
106273 (base 8) to base 2
1000110010111011
Convert 15076675 (base 8) to base 2.
1101000111110110111101
What is 81a631 (base 11) in base 16?
1418ff
Convert 70b18 (base 14) to base 12.
110a6a
Convert 14b187 (base 14) to base 4.
2300101003
5641230 (base 10) to base 12
1a80726
-10302312041 (base 5) to base 16
-a786cd
What is -10202200120 (base 3) in base 10?
-74130
-12321111232 (base 4) to base 14
-350b14
What is -12152134 (base 9) in base 11?
-33972a1
Convert 3345200 (base 6) to base 4.
221122200
What is 32132323230 (base 4) in base 12?
1331210
-22961 (base 12) to base 4
-23103121
Convert -3e62e1 (base 15) to base 9.
-5583814
What is 1c60e (base 15) in base 14?
259c5
112001000 (base 3) to base 7
41556
Convert 11ab934 (base 12) to base 4.
31031111320
Convert -100110110011011111000 (base 2) to base 11.
-79936a
Convert 1001010110010000000110 (base 2) to base 9.
4544328
What is -6133023 (base 8) in base 12?
-661243
Convert -10001011001010110 (base 2) to base 3.
-10121202001
Convert 25506461 (base 7) to base 16.
236cff
Convert 235630 (base 8) to base 13.
2aa0a
13132001201 (base 4) to base 10
1957985
What is -41a775 (base 15) in base 12?
-1067748
What is -112113223 (base 4) in base 13?
-32923
What is 99868 (base 10) in base 6?
2050204
-1110033113 (base 4) to base 16
-543d7
Convert -4154432 (base 6) to base 11.
-128773
Convert -369602 (base 10) to base 2.
-1011010001111000010
What is 35230 (base 12) in base 16?
11604
-21010011112 (base 3) to base 11
-96285
Convert -220122202000 (base 3) to base 4.
-1312133031
What is 140542552 (base 6) in base 16?
2b65a4
Convert 143108 (base 9) to base 11.
5a879
-17a0b3 (base 13) to base 3
-1010010220102
What is 1450cdb (base 14) in base 3?
200120201120200
Convert -1231032102 (base 4) to base 11.
-286138
Convert 15772 (base 12) to base 11.
20990
-641930 (base 11) to base 9
-1835200
-213332002 (base 4) to base 9
-268514
What is -20130101003 (base 4) in base 9?
-4142512
Convert 66037 (base 13) to base 6.
3542334
-476332 (base 8) to base 9
-267568
123336b (base 13) to base 9
11580145
-2996 (base 13) to base 3
-22021122
14304343 (base 6) to base 10
490887
What is -231248 (base 9) in base 5?
-13414331
What is -44030404 (base 5) in base 7?
-3130031
What is 3340552 (base 6) in base 16?
292f4
-40631233 (base 7) to base 6
-200533054
Convert -4177 (base 16) to base 13.
-7822
1622116 (base 8) to base 5
104434141
Convert -2060542 (base 10) to base 13.
-571b73
5ac3c (base 14) to base 6
4431234
Convert 10e8a (base 15) to base 3.
2201221111
85263 (base 12) to base 5
21044031
Convert 110020011200 (base 3) to base 10.
240696
Convert 11340200 (base 6) to base 12.
151660
Convert -7a34a73 (base 11) to base 13.
-2bb46c4
What is -9203 (base 12) in base 5?
-1001333
32112120 (base 4) to base 5
3340101
80512 (base 9) to base 2
1100111010101000
-25a147 (base 12) to base 11
-392a27
What is 3648687 (base 9) in base 16?
1e3b4a
Convert -113034322 (base 5) to base 11.
-324279
What is 261466 (base 9) in base 15?
31ebc
What is 136237 (base 9) in base 2?
10100010101100110
210222 (base 10) to base 3
101200101000
What is 1250213 (base 7) in base 4?
213320300
What is 312433242 (base 5) in base 4?
10330123020
Convert 3223111222 (base 4) to base 2.
11101011010101101010
Convert -1f5b78 (base 16) to base 14.
-3b6cc0
Convert -11110111101001011101 (base 2) to base 12.
-40b025
What is -221434310 (base 5) in base 7?
-11141251
Convert 351572 (base 8) to base 16.
1d37a
Convert 46483 (base 9) to base 5.
1443032
Convert 4a2b8 (base 16) to base 13.
a8383
What is 65982 (base 14) in base 4?
330011032
-102533142 (base 6) to base 9
-3367568
-677411 (base 10) to base 7
-5520650
What is -21132131002 (base 4) in base 2?
-1001011110011101000010
Convert -61a414 (base 14) to base 2.
-1100100100000110100010
Convert 11513665 (base 7) to base 6.
34015514
What is -32322413 (base 6) in base 12?
-3a3409
-985687 (base 10) to ba | {
"pile_set_name": "DM Mathematics"
} |
+ 7*l**3*u + 102*l**3 - 541*l**2*u + 354*u wrt l.
48*l*u - 24*l + 42*u + 612
Find the third derivative of 353066*x**3 - 436*x**2 - 969*x wrt x.
2118396
What is the third derivative of 546913*o**6 + 567790*o**2?
65629560*o**3
Find the second derivative of 3668486*x**2 + 91763*x - 12.
7336972
What is the second derivative of -97*i**4 + 6*i**3 - 2950*i?
-1164*i**2 + 36*i
Differentiate -23*a**2*z**2 + 44*a*z**2 + 61*a*z - 138979*z**2 with respect to a.
-46*a*z**2 + 44*z**2 + 61*z
Find the first derivative of -1752*a*v**2 + 4*a + 2*v**3 - 1674 wrt v.
-3504*a*v + 6*v**2
What is the third derivative of -3*i*k**3*v - 38*i*k**3 - 2461*i*v - 3129*k**3*v + 2*k**2 + v + 3 wrt k?
-18*i*v - 228*i - 18774*v
Find the first derivative of 2*i*t*y**2 + i*t*y - 2456*i*y**2 + 2*i - t*y**2 + 1396*t*y + 2 wrt t.
2*i*y**2 + i*y - y**2 + 1396*y
What is the second derivative of -3092096*k**4*u - 89*k*u - 2*k + 6*u - 17 wrt k?
-37105152*k**2*u
What is the third derivative of -117*j**4 + 55*j**3 + 90380*j**2 wrt j?
-2808*j + 330
What is the derivative of 5036738*d - 5300214 wrt d?
5036738
Differentiate -2*a*g**2*l - 3*a*g**2 + 796*a*g*l - 5946*a - 12 wrt l.
-2*a*g**2 + 796*a*g
Differentiate -907*g**3 + 2*g**2 - 2*g + 101910.
-2721*g**2 + 4*g - 2
What is the second derivative of 2072129*n**3 - 178*n - 2544?
12432774*n
Find the second derivative of 2180020*s*y**2 + 11*s + 149645*y wrt y.
4360040*s
What is the second derivative of -21511*d**2 - 6021*d - 2?
-43022
Find the second derivative of 148*o**2*u**2 + 262*o**2*u*y**3 - o*u*y**3 - o*y**2 - 6*o + 3*u**2*y + 2*u*y - 36*y**3 wrt o.
296*u**2 + 524*u*y**3
What is the second derivative of -4*g**4 - 2*g**3 - 24816*g**2 - 1020081*g wrt g?
-48*g**2 - 12*g - 49632
What is the derivative of 122*a**2*o**3 - 8*a**2 - 2*a*o**3 - 7*a - 48772*o**3 wrt a?
244*a*o**3 - 16*a - 2*o**3 - 7
What is the second derivative of -101*l**2*p**3 - 37*l**2 - 70*l*p + 7*p**4 - 10*p**2 + 2*p wrt p?
-606*l**2*p + 84*p**2 - 20
What is the third derivative of 180*n**3*r**4 + 171*n**3*r**3 + 2*n**3*r - 475*n**2*r - 15*r**2 wrt r?
4320*n**3*r + 1026*n**3
Find the second derivative of -2844101*c**3 + 6*c - 15599.
-17064606*c
Find the second derivative of 75750*x**2 + 11*x - 79.
151500
Find the first derivative of 35785*q**3 - 33233.
107355*q**2
Find the first derivative of -135372*j**2 + 477910.
-270744*j
Find the second derivative of 1205*z**4 + 82*z**3 + 2*z**2 - 1574615*z.
14460*z**2 + 492*z + 4
What is the third derivative of -18763*h**6 + h**5 - 2*h**3 + 15163*h**2 - h + 2?
-2251560*h**3 + 60*h**2 - 12
What is the derivative of 51*a*j*o + 252*a*j - 158*a*o - 73*a + j - 3*o wrt o?
51*a*j - 158*a - 3
What is the third derivative of 2*i**6 + i**4 - 97145*i**3 + 657*i**2 + 247*i?
240*i**3 + 24*i - 582870
What is the third derivative of 320*h**3*n**3*r**3 - 210*h**3*n**3 + 90*h**3*n*r**2 + h**3*r**2 - n**2*r**3 - 16*n**2*r**2 + r**3 + 33*r wrt n?
1920*h**3*r**3 - 1260*h**3
Differentiate -4*j**3 + j*l**3*o**2 + 29*j*l**3 - 1654*l**3*o + 18*o**2 wrt j.
-12*j**2 + l**3*o**2 + 29*l**3
Find the second derivative of -2*k**5 + 57489*k**3 - 21*k - 34.
-40*k**3 + 344934*k
Find the second derivative of -9588*v**4 + 11*v**3 - v**2 + 824729*v wrt v.
-115056*v**2 + 66*v - 2
What is the second derivative of -2776873*g**2 - 6418377*g?
-5553746
Find the second derivative of -4*l*r**3 - 9*l*r**2 - 1643*l*r - 2*l - 2363*r**3 + 5*r - 6 wrt r.
-24*l*r - 18*l - 14178*r
What is the second derivative of -34*d**4 - 2573*d**3 + 2*d**2 + 112249*d wrt d?
-408*d**2 - 15438*d + 4
What is the second derivative of 43*j**3*x**2 - 621*j**3*x - 8708*x**2 + 93*x wrt x?
86*j**3 - 17416
What is the derivative of -233921*f + 289833 wrt f?
-233921
Find the second derivative of -274*d*k**4 + 602*d*k**2 + 36209*d + 3*k wrt k.
-3288*d*k**2 + 1204*d
What is the first derivative of -14*o**4 + 276*o**2 + 2*o + 30868?
-56*o**3 + 552*o + 2
What is the second derivative of 64407*f**2 + 2020*f + 19 wrt f?
128814
Find the second derivative of -237*s**4 - 1125*s**2 - 540402*s + 2.
-2844*s**2 - 2250
What is the derivative of 4284*v**4 - 14*v - 3949?
17136*v**3 - 14
Differentiate 214*d**4 + 2*d**2 - 365349 with respect to d.
856*d**3 + 4*d
Find the first derivative of -9*d**4 - 41*d**3 - 39*d**2 - 2112754.
-36*d**3 - 123*d**2 - 78*d
Find the second derivative of 10890*h**2*s**2 - 9*h**2*s + 2*h*s**2 - 5*h*s + 1176*s**2 + 143 wrt h.
21780*s**2 - 18*s
What is the third derivative of 92*l**4*n + 2*l**3*n**3 - 32*l**3*n + 3*l**2*n**2 - 45910*n**3 wrt l?
2208*l*n + 12*n**3 - 192*n
Find the third derivative of -88*u**6 + 135*u**3 + 107443*u**2 wrt u.
-10560*u**3 + 810
What is the derivative of 5638*a*d**2 - 6*a*d - a - 2168154*d**2 wrt a?
5638*d**2 - 6*d - 1
What is the third derivative of -4*i**6 + 5113*i**3*m + 14*i**3*o - 3*i**2 - 416854*m*o wrt i?
-480*i**3 + 30678*m + 84*o
What is the third derivative of 3434*i**4 + 13*i**3 + 747*i**2 + 47 wrt i?
82416*i + 78
What is the second derivative of 21*n**3*u**2 + 99*n**3*u + 2*n**3 + 715*n*u + 364*u**5 wrt u?
42*n**3 + 7280*u**3
What is the third derivative of 121390*c**5 + 60212*c**2 + 4 wrt c?
7283400*c**2
What is the second derivative of 776*h**2*k - 120*h**2 + 67695*h*k - 2*k wrt h?
1552*k - 240
What is the derivative of -1155*c*p**2*r + 3*c*r - 2*c - 39532*p**2 - p*r wrt r?
-1155*c*p**2 + 3*c - p
Find the second derivative of r**4*x**2 - 2*r**2*x**2 + 477*r**2*x - 2*r*x**2 - 3*r*x + 52*x**2 - 3*x wrt r.
12*r**2*x**2 - 4*x**2 + 954*x
Find the second derivative of -33290*d**3 + 2*d**2 + 1605*d - 2 wrt d.
-199740*d + 4
Find the first derivative of 30888*y - 22980.
30888
Differentiate 4*l**2 - 377837*l - 118162.
8*l - 377837
What is the first derivative of 22*f**4 - 3*f**3 - 708*f**2 - 154927 wrt f?
88*f**3 - 9*f**2 - 1416*f
Find the third derivative of -127095*m**3 - m**2 + 146*m + 92 wrt m.
-762570
Find the third derivative of -184033*y**3 + 1089420*y**2 + y.
-1104198
What is the derivative of -18*t**4*u - 1158*t**2*u**2 + t*u - 53402*u**2 - 3*u wrt t?
-72*t**3*u - 2316*t*u**2 + u
Find the first derivative of 43660*r*v**2 + 12*r*v + 838722*v**2 wrt r.
43660*v**2 + 12*v
What is the first derivative of -554129*i**2 + 109918?
-1108258*i
Find the second derivative of 2*p**5 + p**4 + 15930*p**3 - 3280*p - 212 wrt p.
40*p**3 + 12*p**2 + 95580*p
What is the derivative of -12*c**4 - 1310*c**3 + 75719?
-48*c**3 - 3930*c**2
What is the second derivative of -6176*a**5 + 3*a**3 - 8201*a wrt a?
-123520*a**3 + 18*a
What is the third derivative of -700749*c*z**3 - 8*c*z**2 + 1650 wrt z?
-4204494*c
What is the third derivative of 7*k**4*x*z - 6*k**3*x + 438*k**3*z + 3*k**2*x + 2986*k**2 - 2*k*x - k - 7*x*z wrt k?
168*k*x*z - 36*x + 2628*z
Find the second derivative of -g**2*l*u + g**2*u**3 - 2210*g**2*u - 3*g**2 + g*l*u + 7*g*l + 9*g*u**3 - 22*l*u**2 wrt g.
-2*l*u + 2*u**3 - 4420*u - 6
What is the second derivative of -1121009*r**3 - 365408*r + 5 wrt r?
-6726054*r
What is the second derivative of -2*c**3*g - 925*c**3 - 58*c**2*g**2 - 15*c*g**2 + 25*g**2 - 47 wrt c?
-12*c*g - 5550*c - 116*g**2
What is the second derivative of 1183*b*f**3 + 17*b*f**2 - b + 10159*f wrt f?
7098*b*f + 34*b
Find the second derivative of -4974*b**3 - b**2 - 6459273*b wrt b.
-29844*b - 2
What is the second derivative of -33*b**4 - 128*b**3 + 37398*b?
-396*b**2 - 768*b
What is the second derivative of 56199*r**4 + 4*r**2 - 24901*r + 13 wrt r?
674388*r**2 + 8
Differentiate 34441*a + 27900 wrt a.
34441
Find the second derivative of 217948*f**2*o**2*w**2 + 5*f**2*o - 31*f**2*w**3 - 2*f**2*w**2 - o**2*w**3 + 46*w**3 wrt o.
435896*f**2*w**2 - 2*w**3
Differentiate 367550*c**3*g + c**3 + 7340*g + 31 with respect to c.
1102650*c**2*g + 3*c**2
Find the third derivative of -5*v**4 + 3726*v**3 + 699*v**2 - 18.
-120*v + 22356
Find the first derivative of 91*v**3 + 17*v**2 - v + 93419 wrt v.
273*v**2 + 34*v - 1
Find the second derivative of -10560*o**2*z**2 - 31*o**2 - 8917*o*z**2 - 195*o*z - o wrt o.
-21120*z**2 - 62
Find the second derivative of -223699*y**2 - 2723113*y wrt y.
-447398
What is the derivative of -j**2*t - j**2*x**3 - 49*j*x**2 - 122423*t*x**3 - 114 wrt t?
-j**2 - 122423*x**3
Find the first derivative of -75026*j*k**2*m + 3*j*m + 4778*j wrt k.
-150052*j*k*m
What is the second derivative of -263*a | {
"pile_set_name": "DM Mathematics"
} |
e units digit of 8987?
7
What is the units digit of 456?
6
What is the thousands digit of 12071?
2
What is the thousands digit of 2023?
2
What is the hundreds digit of 802?
8
What is the units digit of 5104?
4
What is the units digit of 4204?
4
What is the hundreds digit of 702?
7
What is the thousands digit of 7062?
7
What is the tens digit of 761?
6
What is the units digit of 10023?
3
What is the hundreds digit of 2335?
3
What is the thousands digit of 8438?
8
What is the units digit of 187?
7
What is the units digit of 21933?
3
What is the hundreds digit of 35456?
4
What is the units digit of 4140?
0
What is the tens digit of 32003?
0
What is the hundreds digit of 72349?
3
What is the units digit of 56144?
4
What is the hundreds digit of 164?
1
What is the tens digit of 5849?
4
What is the ten thousands digit of 16546?
1
What is the ten thousands digit of 55929?
5
What is the hundreds digit of 4743?
7
What is the units digit of 14247?
7
What is the hundreds digit of 964?
9
What is the tens digit of 38657?
5
What is the thousands digit of 4092?
4
What is the thousands digit of 5068?
5
What is the units digit of 7162?
2
What is the tens digit of 4326?
2
What is the ten thousands digit of 21518?
2
What is the thousands digit of 11281?
1
What is the units digit of 1003?
3
What is the hundreds digit of 12298?
2
What is the hundreds digit of 23329?
3
What is the units digit of 2277?
7
What is the thousands digit of 2623?
2
What is the units digit of 7814?
4
What is the thousands digit of 1741?
1
What is the hundreds digit of 2708?
7
What is the tens digit of 5026?
2
What is the tens digit of 986?
8
What is the ten thousands digit of 21408?
2
What is the units digit of 4440?
0
What is the hundreds digit of 1370?
3
What is the hundreds digit of 13464?
4
What is the tens digit of 3972?
7
What is the thousands digit of 11093?
1
What is the tens digit of 632?
3
What is the hundreds digit of 1567?
5
What is the tens digit of 1348?
4
What is the hundred thousands digit of 122298?
1
What is the hundreds digit of 28296?
2
What is the tens digit of 4551?
5
What is the units digit of 147?
7
What is the tens digit of 3473?
7
What is the thousands digit of 1158?
1
What is the hundreds digit of 1811?
8
What is the tens digit of 13190?
9
What is the units digit of 3159?
9
What is the thousands digit of 15256?
5
What is the tens digit of 901?
0
What is the tens digit of 133?
3
What is the thousands digit of 4197?
4
What is the ten thousands digit of 14826?
1
What is the hundreds digit of 66957?
9
What is the thousands digit of 1307?
1
What is the units digit of 30749?
9
What is the hundreds digit of 862?
8
What is the ten thousands digit of 17975?
1
What is the tens digit of 868?
6
What is the hundreds digit of 1790?
7
What is the units digit of 194?
4
What is the units digit of 507?
7
What is the units digit of 1103?
3
What is the hundreds digit of 79129?
1
What is the hundreds digit of 2442?
4
What is the units digit of 9764?
4
What is the hundreds digit of 102?
1
What is the hundreds digit of 3366?
3
What is the units digit of 757?
7
What is the tens digit of 4256?
5
What is the tens digit of 16578?
7
What is the units digit of 9487?
7
What is the hundreds digit of 2580?
5
What is the units digit of 587?
7
What is the hundreds digit of 27356?
3
What is the tens digit of 875?
7
What is the tens digit of 56708?
0
What is the units digit of 13824?
4
What is the hundreds digit of 69426?
4
What is the units digit of 86551?
1
What is the units digit of 362?
2
What is the units digit of 1103?
3
What is the hundreds digit of 1336?
3
What is the units digit of 1950?
0
What is the tens digit of 65547?
4
What is the ten thousands digit of 14373?
1
What is the units digit of 108?
8
What is the units digit of 2104?
4
What is the units digit of 5923?
3
What is the hundreds digit of 3443?
4
What is the ten thousands digit of 25566?
2
What is the tens digit of 17492?
9
What is the hundreds digit of 16224?
2
What is the units digit of 23368?
8
What is the thousands digit of 8512?
8
What is the units digit of 1724?
4
What is the hundreds digit of 884?
8
What is the units digit of 31058?
8
What is the tens digit of 1318?
1
What is the hundreds digit of 708?
7
What is the tens digit of 16857?
5
What is the tens digit of 519?
1
What is the thousands digit of 23670?
3
What is the tens digit of 651?
5
What is the tens digit of 602?
0
What is the hundreds digit of 11093?
0
What is the units digit of 720?
0
What is the tens digit of 550?
5
What is the tens digit of 8018?
1
What is the tens digit of 2793?
9
What is the thousands digit of 30817?
0
What is the hundreds digit of 61461?
4
What is the hundreds digit of 916?
9
What is the units digit of 11779?
9
What is the tens digit of 245?
4
What is the tens digit of 19052?
5
What is the tens digit of 30839?
3
What is the tens digit of 733?
3
What is the units digit of 53048?
8
What is the hundreds digit of 456?
4
What is the units digit of 344?
4
What is the units digit of 2153?
3
What is the units digit of 188?
8
What is the thousands digit of 12794?
2
What is the tens digit of 458?
5
What is the tens digit of 3183?
8
What is the hundreds digit of 1227?
2
What is the thousands digit of 7767?
7
What is the hundreds digit of 117?
1
What is the hundred thousands digit of 124219?
1
What is the ten thousands digit of 18515?
1
What is the ten thousands digit of 13273?
1
What is the units digit of 5893?
3
What is the thousands digit of 92342?
2
What is the ten thousands digit of 66457?
6
What is the thousands digit of 4843?
4
What is the units digit of 7023?
3
What is the units digit of 13264?
4
What is the thousands digit of 7365?
7
What is the units digit of 1793?
3
What is the thousands digit of 11475?
1
What is the units digit of 1554?
4
What is the thousands digit of 1488?
1
What is the hundreds digit of 19857?
8
What is the units digit of 92912?
2
What is the units digit of 143826?
6
What is the hundreds digit of 50243?
2
What is the hundreds digit of 2024?
0
What is the units digit of 3555?
5
What is the thousands digit of 1154?
1
What is the tens digit of 1394?
9
What is the units digit of 350?
0
What is the thousands digit of 2126?
2
What is the tens digit of 17417?
1
What is the units digit of 7482?
2
What is the hundreds digit of 20777?
7
What is the tens digit of 603?
0
What is the tens digit of 84826?
2
What is the units digit of 187651?
1
What is the tens digit of 1300?
0
What is the thousands digit of 6652?
6
What is the hundreds digit of 6618?
6
What is the units digit of 4831?
1
What is the hundreds digit of 55612?
6
What is the hundreds digit of 2244?
2
What is the hundreds digit of 5087?
0
What is the units digit of 3340?
0
What is the units digit of 806?
6
What is the units digit of 83?
3
What is the thousands digit of 4049?
4
What is the thousands digit of 4430?
4
What is the tens digit of 987?
8
What is the tens digit of 9854?
5
What is the thousands digit of 11532?
1
What is the tens digit of 85510?
1
What is the units digit of 2011?
1
What is the hundred thousands digit of 136891?
1
What is the units digit of 8884?
4
What is the units digit of 14447?
7
What is the units digit of 892?
2
What is the thousands digit of 1014?
1
What is the tens digit of 10705?
0
What is the ten thousands digit of 142215?
4
What is the hundreds digit of 5711?
7
What is the ten thousands digit of 21966?
2
What is the units digit of 339?
9
What is the tens digit of 681?
8
What is the tens digit of 52351?
5
What is the ten thousands digit of 77173?
7
What is the units digit of 1509?
9
What is the thousands digit of 126514?
6
What is the tens digit of 43715?
1
What is the units digit of 1306?
6
What is the units digit of 1136?
6
What is the thousands digit of 36317?
6
What is the hundreds digit of 12696?
6
What is the hundreds digit of 195?
1
What is the hundreds digit of 3494?
4
What is the units digit of 119064?
4
What is the units digit of 5936?
6
What is the units digit of 3164?
4
What is the thousands digit of 7319?
7
What is the hundreds digit of 3521?
5
What is the tens digit of 134223?
2
What is the hundreds digit of 269?
2
What is the thousands digit of 50614?
0
What is the hundreds digit of 29954?
9
What is the hundreds digit of | {
"pile_set_name": "DM Mathematics"
} |
cked without replacement from {j: 7, l: 1}.
1/2
Two letters picked without replacement from swswfsswswf. What is prob of picking 2 f?
1/55
Calculate prob of picking 1 o, 1 b, and 1 l when three letters picked without replacement from {l: 2, o: 1, x: 12, z: 3, b: 2}.
1/285
Three letters picked without replacement from {k: 2, v: 4, i: 1, g: 4, j: 7, y: 1}. Give prob of picking 1 v, 1 i, and 1 y.
4/969
Calculate prob of picking 2 n when two letters picked without replacement from uuwucwvcwwucwnnuu.
1/136
Calculate prob of picking 1 v and 1 y when two letters picked without replacement from {a: 1, r: 1, j: 1, v: 1, y: 1, w: 2}.
1/21
Calculate prob of picking 1 d and 1 p when two letters picked without replacement from dqppdpp.
8/21
Three letters picked without replacement from ffyw. Give prob of picking 1 y and 2 f.
1/4
Two letters picked without replacement from ffnlflfifynffinfliff. Give prob of picking 1 i and 1 l.
9/190
Three letters picked without replacement from owewmexvv. Give prob of picking 1 e and 2 v.
1/42
What is prob of picking 2 n when two letters picked without replacement from {i: 15, n: 5}?
1/19
Two letters picked without replacement from ctrrqhtcd. Give prob of picking 2 t.
1/36
Two letters picked without replacement from rpqqrrqpr. What is prob of picking 2 p?
1/36
Two letters picked without replacement from spdsddpd. Give prob of picking 1 d and 1 s.
2/7
Calculate prob of picking 2 n and 1 d when three letters picked without replacement from {d: 6, n: 6}.
9/22
What is prob of picking 2 r when two letters picked without replacement from argrrgrgogararmo?
1/8
Four letters picked without replacement from {e: 15, d: 4}. Give prob of picking 4 e.
455/1292
Four letters picked without replacement from jjjjjijjojjjj. Give prob of picking 1 o and 3 j.
3/13
What is prob of picking 1 v and 2 f when three letters picked without replacement from {v: 1, a: 3, f: 2, q: 6, n: 2}?
1/364
What is prob of picking 1 u and 1 s when two letters picked without replacement from xuutuusxuxtxxtx?
1/21
What is prob of picking 1 k and 2 m when three letters picked without replacement from yymymkymekmqymm?
6/91
Three letters picked without replacement from {e: 4, k: 2, v: 3}. What is prob of picking 2 v and 1 k?
1/14
Calculate prob of picking 2 u when two letters picked without replacement from cuuucuuc.
5/14
What is prob of picking 1 b and 1 k when two letters picked without replacement from {e: 5, m: 2, w: 1, b: 1, k: 3}?
1/22
Three letters picked without replacement from {a: 4, m: 4, l: 9}. Give prob of picking 1 a and 2 l.
18/85
Three letters picked without replacement from tnllddlnmuln. Give prob of picking 1 u, 1 l, and 1 t.
1/55
What is prob of picking 3 k when three letters picked without replacement from {k: 18, h: 1}?
16/19
Two letters picked without replacement from {l: 7, m: 5}. What is prob of picking 2 m?
5/33
Calculate prob of picking 1 w and 3 c when four letters picked without replacement from ccwccwcwcwccw.
56/143
Three letters picked without replacement from {p: 1, e: 1, c: 1, z: 1, q: 1}. What is prob of picking 1 q, 1 z, and 1 e?
1/10
What is prob of picking 1 l, 1 y, and 1 p when three letters picked without replacement from {p: 3, l: 1, r: 2, x: 3, f: 1, y: 1}?
1/55
What is prob of picking 1 r, 1 i, 1 q, and 1 y when four letters picked without replacement from yrqqiyqibibvirq?
64/1365
Three letters picked without replacement from leleemhhleee. Give prob of picking 1 m, 1 h, and 1 l.
3/110
Two letters picked without replacement from {r: 4, f: 14}. What is prob of picking 2 r?
2/51
Two letters picked without replacement from {p: 8, q: 3}. What is prob of picking 2 p?
28/55
Calculate prob of picking 2 t when two letters picked without replacement from {i: 6, t: 6}.
5/22
Three letters picked without replacement from {s: 2, l: 1, a: 1, g: 2, h: 1, k: 1}. What is prob of picking 2 s and 1 a?
1/56
What is prob of picking 1 g, 1 i, and 2 y when four letters picked without replacement from {g: 2, v: 1, p: 1, y: 2, h: 1, i: 1}?
1/35
Calculate prob of picking 4 z when four letters picked without replacement from zzoozzezzzzzeozzzz.
143/612
Calculate prob of picking 1 i, 1 e, and 1 s when three letters picked without replacement from ssieiiseiiiesisssi.
7/34
Calculate prob of picking 1 f, 2 k, and 1 y when four letters picked without replacement from {k: 4, y: 5, f: 3, b: 1}.
18/143
Four letters picked without replacement from {f: 18, z: 2}. What is prob of picking 4 f?
12/19
What is prob of picking 1 r and 1 k when two letters picked without replacement from {j: 3, v: 1, k: 1, b: 6, r: 2}?
1/39
Three letters picked without replacement from nppnpyp. Give prob of picking 1 y and 2 p.
6/35
Calculate prob of picking 2 e when two letters picked without replacement from {b: 5, e: 14}.
91/171
Two letters picked without replacement from {s: 1, d: 2, n: 1, q: 2, e: 14}. Give prob of picking 1 s and 1 q.
1/95
Four letters picked without replacement from mhmhrmhmhrrxhmmhh. What is prob of picking 1 x and 3 r?
1/2380
Four letters picked without replacement from uauueiaesura. What is prob of picking 1 e, 1 r, 1 i, and 1 a?
2/165
Three letters picked without replacement from {p: 12, k: 6}. What is prob of picking 2 p and 1 k?
33/68
What is prob of picking 2 l when two letters picked without replacement from lqsllqlmlqqjlmqqq?
15/136
Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {d: 1, c: 1, x: 1}.
1/3
Two letters picked without replacement from {f: 1, v: 1, h: 1, o: 1, a: 1}. What is prob of picking 1 o and 1 h?
1/10
Three letters picked without replacement from {e: 9, n: 1, v: 3, j: 1}. Give prob of picking 2 v and 1 j.
3/364
Two letters picked without replacement from {y: 4, g: 9, b: 2, r: 3}. What is prob of picking 2 g?
4/17
Three letters picked without replacement from akkkakvn. What is prob of picking 1 v and 2 a?
1/56
What is prob of picking 1 s and 1 u when two letters picked without replacement from {r: 1, s: 1, p: 3, u: 1, n: 1}?
1/21
What is prob of picking 2 x when two letters picked without replacement from {x: 3, z: 3}?
1/5
Two letters picked without replacement from {x: 9, f: 10}. Give prob of picking 2 f.
5/19
Three letters picked without replacement from qpxpqy. What is prob of picking 1 q and 2 p?
1/10
What is prob of picking 2 u when two letters picked without replacement from {u: 7, y: 5}?
7/22
Three letters picked without replacement from fbbfccffcf. What is prob of picking 3 f?
1/12
What is prob of picking 4 n when four letters picked without replacement from {n: 14, c: 1}?
11/15
Three letters picked without replacement from {p: 10, h: 4, x: 5}. Give prob of picking 3 x.
10/969
Four letters picked without replacement from kkhggphppggggwkghpw. Give prob of picking 1 k and 3 p.
1/323
What is prob of picking 1 d, 1 a, and 1 t when three letters picked without replacement from {d: 1, w: 1, a: 1, t: 1, y: 1}?
1/10
Three letters picked without replacement from {f: 8, s: 3, x: 6}. Give prob of picking 1 x and 2 f.
21/85
Calculate prob of picking 1 d and 1 r when two letters picked without replacement from rdrqrqdvrrr.
12/55
Four letters picked without replacement from ssssffssfssssfssss. Give prob of picking 4 s.
1001/3060
What is prob of picking 2 k when two letters picked without replacement from jjkjjjpjjpjk?
1/66
Three letters picked without replacement from {k: 6}. Give prob of picking 3 k.
1
What is prob of picking 1 z and 1 m when two letters picked without replacement from mzazaccccz?
1/15
What is prob of picking 2 t when two letters picked without replacement from {m: 1, t: 6, x: 2, p: 6, r: 2}?
15/136
What is prob of picking 1 l, 2 v, and 1 z when four letters picked without replacement from {o: 4, l: 1, z: 1, n: 1, v: 5}?
2/99
Calculate prob of picking 3 x and 1 z when four letters picked without replacement from {x: 15, z: 4}.
455/969
Two letters picked without replacement from mammvissamivsmasvvao. What is prob of picking 1 s and 1 v?
8/95
Two letters picked without replacement from {w: 6}. What is prob of picking 2 w?
1
What is prob of picking 2 p and 2 f when four letters picked without replacement from {p: 6, f: 7, x: 1}?
45/143
What is prob of picking 2 f when two letters picked w | {
"pile_set_name": "DM Mathematics"
} |
is bigger: 210/11707 or 0?
210/11707
Is -36412 < 0?
True
Which is bigger: -17/262 or 37?
37
Which is bigger: 665939 or 1?
665939
Are 42245 and 0 unequal?
True
Which is smaller: 3/78910 or 1?
3/78910
Which is greater: 95891 or 95889?
95891
Is 0 at most as big as -16/180421?
False
Is -325527 > -1/4?
False
Is -61/17650 at most as big as 0?
True
Which is bigger: 1072 or 653?
1072
Is 21605/283 > 76?
True
Which is bigger: 320/451 or 2?
2
Which is smaller: 1 or 33/845?
33/845
Is -11181977 less than -11181977?
False
Is -43273 != -43271?
True
Which is smaller: -18073 or -18074?
-18074
Which is smaller: 28860 or 1/4?
1/4
Which is smaller: 5863411 or 5863412?
5863411
Which is greater: -4493 or -3/640?
-3/640
Is 20704/13 bigger than 1592?
True
Is 10 less than or equal to -504?
False
Which is smaller: -118/35 or -3?
-118/35
Is -4/60297 smaller than 0?
True
Is 4 equal to 6131/1269?
False
Which is smaller: -113 or -141?
-141
Is 133137 smaller than -5?
False
Which is greater: 1/2670 or -1?
1/2670
Is 121/23284 smaller than -1?
False
Which is smaller: 72068/5 or 14415?
72068/5
Is -2.11 less than or equal to -946/9?
False
Is -855319 smaller than -855319?
False
Is -4/686369 equal to 0?
False
Is -1 at most as big as 1452/293?
True
Does 21694 = 21695?
False
Which is smaller: -1 or 162/35977?
-1
Is -5/183 at least 986?
False
Do 630 and -146.3 have the same value?
False
Which is smaller: -1379272 or -1379274?
-1379274
Is -36674 >= -36674?
True
Which is smaller: 0 or -50201.5?
-50201.5
Which is smaller: -2230 or 259?
-2230
Are -1627 and -1627 equal?
True
Which is bigger: 0.22 or -1858?
0.22
Which is greater: -0.14866 or 23?
23
Which is smaller: -89930 or -89936?
-89936
Is -3842/53 != -73?
True
Which is smaller: -20204 or -20205?
-20205
Which is greater: 444 or 532?
532
Is -1 < 1/20832?
True
Is 4/2917369 bigger than 0?
True
Is 1/5 <= 3/19646?
False
Is 6/89167 bigger than 0?
True
Which is greater: -48/22307 or 0?
0
Does 7/61 = -38?
False
Is 177 equal to 3199?
False
Which is bigger: 1 or -2/1260031?
1
Do -1 and -1/129957 have different values?
True
Is -41215 <= -41216?
False
Is 71528 > 2/3?
True
Which is smaller: 368 or 369?
368
Is -8260 greater than or equal to -8266?
True
Which is bigger: -3325 or -3327?
-3325
Is 12486 less than or equal to 12485?
False
Is -2 greater than -608/49?
True
Is 1 not equal to -2/1269107?
True
Which is smaller: -1.36 or -63?
-63
Which is greater: -1 or -19561/33?
-1
Which is smaller: 1353568/7 or 193368?
1353568/7
Which is smaller: -1113/11741 or 1?
-1113/11741
Does -5/65308 = -1?
False
Is 16874 greater than or equal to 16874?
True
Which is greater: 133676 or -1?
133676
Which is greater: 186/9055 or 1?
1
Is -0.1852 greater than 605?
False
Which is greater: 2 or 2/25403?
2
Is 212907/4 bigger than 53226?
True
Are -5 and 117/152 non-equal?
True
Which is smaller: 29534 or 29531?
29531
Is 0 > -1/29493?
True
Is 58 smaller than -302?
False
Which is bigger: -5/7689 or 0?
0
Which is greater: -727436 or -727435?
-727435
Is -1 less than -323/1550?
True
Is 2/7 bigger than 123.307?
False
Is 1 bigger than -8/857?
True
Is -5/105579 greater than 1?
False
Which is bigger: -156 or -9?
-9
Which is smaller: -28821 or -201757/7?
-201757/7
Are -8 and 18976 non-equal?
True
Is -56/9 < -18/35?
True
Does 20104 = 140719/7?
False
Which is greater: -33188 or -298700/9?
-33188
Does 252024 = 252019?
False
Are 17908 and 17932 nonequal?
True
Which is bigger: 1/4 or 279764.1?
279764.1
Which is greater: 2/7 or 15.3259?
15.3259
Is 1 less than 78/51023?
False
Are 5782/421 and 15 nonequal?
True
Which is smaller: -3550 or -2578?
-3550
Are 124 and -6.62 non-equal?
True
Which is greater: -298896 or -298893?
-298893
Which is greater: -289 or -306?
-289
Is 2706 greater than or equal to 0?
True
Is -4289 greater than or equal to -4450?
True
Is -2/13 less than or equal to -19295?
False
Which is smaller: 302539 or 302541?
302539
Is 0.24 greater than or equal to -41735?
True
Which is greater: 7912 or 8157?
8157
Is 31/2704 >= 0?
True
Is 1620/421 bigger than 5?
False
Which is bigger: 428/4735 or 0?
428/4735
Which is bigger: -167435 or -167434?
-167434
Which is bigger: -63994 or -575941/9?
-575941/9
Which is smaller: -1/169 or -7501?
-7501
Is 225892 less than 225892?
False
Which is smaller: 337 or 5042/15?
5042/15
Is -27/25 > -24?
True
Which is smaller: -3673 or -3004?
-3673
Is -3351 != -3606?
True
Which is bigger: 1691 or 103194/61?
103194/61
Which is smaller: 5607 or 2?
2
Do -0.2 and 2250273 have different values?
True
Which is greater: 13578/2659 or 6?
6
Which is bigger: 74080 or 74079?
74080
Which is smaller: -1.8 or -64727?
-64727
Is -33645 greater than -0.06?
False
Does -18 = -449?
False
Which is smaller: 6 or 1869/298?
6
Does -1 = -623471?
False
Which is smaller: -3455847 or 0.1?
-3455847
Which is smaller: 4966674 or 4966676?
4966674
Is -164 equal to -228?
False
Which is greater: -2/9 or -4/46201?
-4/46201
Which is smaller: -350937/5 or -70187?
-350937/5
Is -3926/7 at most as big as -561?
False
Which is bigger: -3576 or -3691?
-3576
Is -13924/47 > -297?
True
Which is smaller: 1 or -53/119?
-53/119
Is 12 greater than -11543?
True
Which is bigger: 1/3 or -362531?
1/3
Which is greater: 1 or -246.0449?
1
Which is greater: 1465/362 or 4?
1465/362
Which is smaller: 1661462 or 1661461?
1661461
Which is smaller: 70.6 or 14.9?
14.9
Does -34 = -1515/44?
False
Is 6089 less than or equal to 6055?
False
Is -133052 bigger than -133052?
False
Which is smaller: 102114/5 or 20422?
20422
Which is smaller: -7662735/4 or -1915685?
-1915685
Is -231 not equal to 28.82?
True
Do 136079 and 136068 have different values?
True
Which is smaller: -282878/9 or -31432?
-31432
Do 20 and 7581 have different values?
True
Which is bigger: -2980/3059 or -2?
-2980/3059
Which is bigger: 0 or -181/5573?
0
Is 198/443 >= 1?
False
Are -8 and -2/2875 unequal?
True
Is -2054 less than -2059?
False
Is 13/709636 bigger than -1?
True
Which is greater: 7316 or 7293?
7316
Is -0.0395005 at least 1/3?
False
Is 995 at most 0.23?
False
Which is smaller: -5/1062017 or 1?
-5/1062017
Is -1/48 equal to -40556?
False
Is -22477 >= -22488?
True
Which is greater: 1393 or 151872/109?
151872/109
Is -8 greater than -266.7?
True
Do 7731 and 7729 have the same value?
False
Which is greater: -20 or -11665?
-20
Which is bigger: 30 or 2/29381?
30
Is 1 greater than 6/101263?
True
Is -75404 smaller than -2/3?
True
Which is smaller: 4039 or 4032?
4032
Do 36870 and 331826/9 have different values?
True
Is 0.08 less than 18225?
True
Which is bigger: 2 or 43.2?
43.2
Which is smaller: 606.15 or 3?
3
Which is smaller: 87 or 3173/36?
87
Which is smaller: -2 or 628.6448?
-2
Is 1 <= 2/127463?
False
Is 345 >= 291?
True
Is -5/18 less than 1/195?
True
Is -2355 > -4709/2?
False
Which is greater: -229 or 21320?
21320
Are 1/54404 and 1 unequal?
True
Which is greater: -7 or -1570/261?
-1570/261
Which is greater: 3309/475 or 6?
3309/475
Which is smaller: 3/83042 or 0?
0
Is -2503744 at least as big as -2503742?
False
Which is smaller: 111 or 3863/35?
3863/35
Which is greater: 6.1 or 301/2?
301/2
Which is smaller: -0.2 or 0.279868?
-0.2
Which is greater: 0.18 or -3559?
0.18
Which is bigger: -668633 or -3?
-3
Is 25285/138 equal to 182?
False
Is 37485 bigger than 37580?
False
Is -1 bigger than 268/96683?
False
Which is smaller: 1174 or 0.0533?
0.0533
Do 2504 and 258012/103 have different values?
True
Is 804 greater than or equal to 910?
False
Is 1003 != 58255/58?
True
Is 19953 < 19953?
False
Which is greater: 1 or 3/827507?
1
Is 12902 bigger than -3/16?
True
Is -230 less than -1.117?
True
Is 1308 less than 792/13?
False
Is -256/685 less than 0?
True
Is 0 greater than 403/5548?
False
Which is bigger: -293597 or 0.3?
0.3
Which is bigger: 86492 or -2/21?
86492
Which is greater: 0.1 or 1114.687?
1114.687
Which is smaller: -1 or 1646/7385?
-1
Is 68127 < 68127?
False
Which is smaller: -466 or -399?
-466
Is -257 equal to -7962/31?
False
Which is smaller: 4014 or 4032?
4014
Is -1706 greater than or equal to -1705?
False
Which is smaller: 355 or 1?
1
Which is smaller: -13 or -686?
-686
Which is bigger: 0 or 1826/5103?
1826/5103
Is -168314 greater than -168326?
True
Is -365474 at most as big as -365479?
False
Is -785 at most -637?
True
Are 2351 and 2332 equal?
False
Is 3 equal to 1 | {
"pile_set_name": "DM Mathematics"
} |
at is i(c)?
2
Let i(t) be the second derivative of -t**5/20 + t**4/6 + t**3/6 - t**2/2 - 433*t. Let d(s) = -s - 3. Let n be d(-5). What is i(n)?
1
Let q(f) = -f**2 - 5*f - 4. Let i(b) = -b**2 - 17*b - 26. Let u(x) = -3*x**2 - 50*x - 77. Let o(n) = 17*i(n) - 6*u(n). Let j be o(-8). Calculate q(j).
0
Suppose -10*a - 23 = 27. Let h(o) be the third derivative of o**2 - 1/8*o**4 + 5/6*o**3 + 0*o - 1/60*o**5 + 0. Calculate h(a).
-5
Let f = -13 - -9. Let u be 0/(f/8*-4). Let x(j) = -j - 6. Calculate x(u).
-6
Suppose 21*t - 8 = 17*t. Let y(z) be the third derivative of -z**6/120 + z**5/60 + z**4/24 - z**3/6 - 4*z**2 - 1. What is y(t)?
-3
Let m(o) = -o**3 - 5 - 7*o - 1 + 23*o**2 - 30*o**2. Suppose -3*s + 5*f = -2, 2*s + f - 4*f = 0. Give m(s).
0
Suppose -18*m + 6 = -16*m. Let q be -2 - (-40)/(8 - m). Let g(a) = -a + 5. Calculate g(q).
-1
Let m(b) = 2*b + 2. Let n(r) = 5*r + 126. Let g be n(-24). Give m(g).
14
Let o(v) be the third derivative of v**6/120 + v**5/60 - v**4/12 - v**3/2 + 11*v**2. Suppose -4*i + 0*i - 3*b - 23 = 0, 10 = 5*i - 4*b. Determine o(i).
-3
Let i(j) = -9 + 3 + 2*j - 12. Calculate i(12).
6
Let g(h) be the first derivative of 0*h + 4 + 1/24*h**4 + 2*h**2 + 1/3*h**3. Let r(w) be the second derivative of g(w). Give r(-4).
-2
Let y(r) = 4*r**3 - r**2 - r. Let d(w) = -w**3 - 8*w**2 + 9*w + 3. Let f be d(-9). Let u be 1/(3/(-12)) - (-6 + f). What is y(u)?
-4
Let n(h) be the third derivative of -h**4/24 + 4*h**3/3 - 4*h**2. Suppose 2*g - 3 = b, -b - 10 = -4*g + 3. What is n(b)?
1
Let f(p) be the second derivative of p**4/12 - p**3/6 - 2*p**2 + 28*p. Suppose 0 = 2*w - 5*l - 20, -3*w + 4*l + 11 = -5. Suppose w = x - 0*x. What is f(x)?
-4
Let d(c) = -2*c + 3. Let z(j) = 12*j - 16. Let k(g) = -14*d(g) - 3*z(g). Determine k(4).
-26
Let g(f) = f**2 + f - 1. Let q be g(0). Let c(u) be the third derivative of u**4/24 + 29*u**2. Let h(w) = 3. Let b(y) = q*h(y) - 3*c(y). Give b(-2).
3
Let w = 79 + -76. Let m(s) = -8 + s**3 - 2*s + 2*s + 6*s**2 + 0*s**w - s. What is m(-6)?
-2
Let q(g) = 3. Let w(h) = 11*h - 12. Let r(u) = 3*q(u) + w(u). What is r(1)?
8
Let x(z) = -5*z**2 - 3*z - 7. Let k(t) = 6*t**2 + 4*t + 8. Let i(n) = -6*k(n) - 7*x(n). Let h = 740 + -742. Determine i(h).
3
Let r(o) = 53*o + 5. Let k(m) = 19*m + 2. Let b(p) = -11*k(p) + 4*r(p). What is b(6)?
16
Suppose 4 = 4*h - 8. Suppose h*n = -2*s - 2 - 24, 0 = -3*n + 4*s - 2. Let g(j) be the first derivative of -j**4/4 - 2*j**3 + j**2 + 9*j - 4. Calculate g(n).
-3
Let h(q) = 0*q**2 - 12*q**2 - q**2 + 1. Let i(c) = 0*c**2 + 33*c - 56*c + 3*c**2 - 9. Let w be i(8). What is h(w)?
-12
Let p(f) be the first derivative of -3*f**4/4 - f**3 + f**2 + 2*f + 71. Determine p(2).
-30
Let j(n) be the third derivative of -n**4/4 + 2*n**3/3 + 7*n**2. Give j(3).
-14
Let c be (0/(-1))/(1/1). Let k(w) = -2*w + 4 + 0 + c - 1. Let d(m) = m**3 + 2*m**2 - 4*m + 1. Let t be d(-3). Determine k(t).
-5
Let z(r) = 9*r**3 + 12*r**2 - 9*r - 10. Let g(b) = -25*b**3 - 35*b**2 + 27*b + 30. Let d(n) = -4*g(n) - 11*z(n). What is d(-9)?
-10
Suppose 4*y - 3*r = 3 - 18, 3*y = -5*r + 25. Let t(p) be the second derivative of p**2 + y - 2*p - 1/2*p**3 - 1/12*p**4. Determine t(-3).
2
Let z(a) = a**3 - a**2 - 2*a + 3. Let n be 0/(-2 - (0 - 4)). Suppose -8 = -4*t + 2*d, -2 = 2*t - 4*d - n*d. Determine z(t).
15
Suppose 4*m - 8 = 2*m, 0 = 4*x - 2*m - 52. Let s = 649 - 669. Let w = x + s. Let f(i) = -i**2 - 6*i + 2. Determine f(w).
7
Suppose -5*d - 26 - 54 = 0. Suppose 0 = h + 4*q, h = 5*h + 4*q + 36. Let f = h - d. Let b(p) = -p**2 + 2*p - 1. Give b(f).
-9
Let d(w) be the first derivative of -w**2/2 + 17*w - 10. Give d(14).
3
Let g be 22/77 + (-66)/(-14). Suppose 0 = 2*v + 3*v - g*o - 25, 3*v - 50 = -4*o. Let x(f) = f**2 + 5*f**2 - 5*f**2 - f**3 + v. What is x(0)?
10
Let t = 0 - -50. Let j be (60/t)/((-4)/10). Let k(b) be the first derivative of -b**4/4 - 4*b**3/3 - b**2 - 4*b - 3. Give k(j).
-7
Let s(i) = 1118*i - 2247*i - 2 + 1125*i. Give s(6).
-26
Let y(a) be the first derivative of a**3/3 - 7*a**2/2 - 7*a + 408. Let g be (-40)/(-6) + 12/(-18). Give y(g).
-13
Let l = 11 + -8. Suppose 5*t + 3*w = 15, -2*w - 5 = -l*w. Let k(q) = -2*q**2 - q + 4. Let p(n) = 3*n**2 + 2*n - 9. Let h(b) = -5*k(b) - 3*p(b). Give h(t).
7
Let n(p) = -p - 5. Suppose -21*g + 524 = 398. What is n(g)?
-11
Let b = -15 + 19. Let i(z) = -z**2 + 0*z**2 - b*z**3 + 3*z**3 + z - 6 + 21. Suppose 4*t - 4*y + 20 = 0, 3*y + y = -t + 20. Give i(t).
15
Let r(z) = 11*z**3 - z**2. Let b be 4/(-26) - (2492/(-91))/(-4). Let o be 4/b + 6/(-14). Give r(o).
-12
Let d(f) = 2*f + 7. Suppose -5*r = -1 - 69. Suppose -6 = -3*k - 0*k, 0 = -2*t + k - r. Calculate d(t).
-5
Let s(i) be the first derivative of -i**3/3 + i - 40. Let j(x) = x**3 + 6*x**2 + 4. Let v be j(-6). Suppose -l = 3*h + v, 2*l = 3*h - 0*h - 8. Determine s(h).
1
Let j(o) = -6*o**2 + 2*o + 17. Let v(u) be the first derivative of 2*u**3/3 - u**2/2 - 6*u + 4. Let b(h) = -4*j(h) - 11*v(h). Calculate b(-3).
7
Let q(f) = f**3 - 3*f**2 + 2*f - 6. Let b(z) = 3*z**3 + 2*z**2 - 9*z + 8. Let t be b(1). What is q(t)?
18
Let k(a) = a**3 - 8*a**2 + 8*a - 7. Let p(i) = i**3 - 7*i**2 + 7*i - 6. Let b(j) = -4*k(j) + 5*p(j). What is b(3)?
7
Suppose -2 + 22 = 5*v. Let x(g) = -3*g**2 + 1 + 20*g**3 + 5*g**2 - 21*g**3 + 2*g + g**2. What is x(v)?
-7
Let c(k) = -5 + 22*k**3 + 2*k - 23*k**3 - 5*k**2 + 2*k + k. Let r = -9 + 3. Determine c(r).
1
Let x = 1 + -8. Let j(s) = 9 + s**2 + 0*s**2 - 4 + 9*s. Calculate j(x).
-9
Let a(t) = -t**3 - 3*t**2 - 2*t - 1. Let o(m) = -m**3 - 2*m**2 - 8. Let p be o(-4). Suppose -p = -10*l + 18*l. Determine a(l).
5
Let y be 5 + (7 - (-1 - -5)). Suppose -4 = q - y. Let g(l) = -2*l**2 + 7*l - 5. Determine g(q).
-9
Suppose 0 = -0*y - 3*y + 24. Let v = 3 - y. Let q(g) = g + 10. Let s(u) = 2*u + 19. Let h(z) = -5*q(z) + 3*s(z). What is h(v)?
2
Let b(k) = 6*k + 3. Let z be (-1 + -12 + 3)*-1. What is b(z)?
63
Let o(w) = -12*w + 7. Let j(r) = -18*r + 40*r - 23*r - r**2. Let y(x) = j(x) - o(x). Calculate y(11).
-7
Suppose -6 - 10 = 4*u. Let t(m) = 90469*m**2 - 1 - 45232*m**2 - 45236*m**2 + 5*m. Give t(u).
-5
Let v(i) be the second derivative of -i**5/20 + 4*i**4/3 - 7*i**3/3 - 10*i**2 - 50*i + 2. Calculate v(15).
-5
Let q(p) = -p**2 + p - 6. Let r(b) = 2*b**2 - b + 1. Let m be r(1). Suppose 0 = m*s + 3 + 3. Let j = s + 3. Determine q(j).
-6
Let h(w) be the second derivative of w**4/12 + 4*w**2 + w. Let g be 11/(-22) - (20/8 + -3). Determine h(g).
8
Let y(v) = 5*v**3 - 2*v**2 + 1. Let g be y(1). Let u(x) = 11*x**2 + 6 - 7*x**2 + x + g*x - 3*x**2. Give u(-6).
12
Let h be (-4 + (-33)/(-6))/((-2)/(-4)). Let a(g) = -h + 3 - 4*g + 4 - 6. What is a(-3)?
10
Let m(b) = -b - 3*b + 3*b - 3. Suppose -391 = -13*c - 352. What is m(c)?
-6
Let t(z) = -6*z - 7. Let l(h) = -16*h - 18. Let m(g) = 4*l(g) - 11*t(g). Calculate m(-6).
-7
Let n be (4/9)/(30/675). Let z(q) = -q**3 + 8*q**2 - 9*q + 10. Let y be z(7). Let c = n + y. Let h(i) = -i. Give h(c).
-6
Let j(v) be the second derivative of -v**5/20 + v**4/3 - v**3/6 + v**2/2 - 10*v - 2. Let q = -6 - -8. Let u(t) = t**2 - t + 1. Let s be u(q). Give j(s).
7
Suppose 1 = 2*g - 7. Suppose -1 + g = -l. Let z be (4/l)/(2/3). Let h(v) = v + 1. Determine h(z).
-1
Let y(i) = 6*i + 1. Suppose 2*c - 11 = -a, 5*c - 21 = 3*a + a. Give y(a).
7
Let w(j) be the second derivative of -j**4/12 + 5*j**3/6 - 2*j**2 + j - 9. Calculate w(5).
-4
Let i(v) = -10*v - 1. Suppose 0 = -q + 56 - 31. Suppose 2*c + 23 = q. Calculate i(c).
-11
Let t(h) = -h - 7. Suppose 3*n + 14 = 4*j, -4*j + 8*j = -4*n + 28. Let x be (n - 12/9)*-15. What is t(x)?
3
Let k(r) be the third derivative of r**4/24 + 7*r**3/6 + 7*r**2. Let b be (1 + 83)*(-3)/(-6). Let l be b/(-9) + (-5)/15. Calculate k(l).
2
Let i(d) = d**2 + 17*d + 53. Let b be i(-12). Let o(f) = f**2 + 8*f - 2. What is o(b)?
-9
Let w(j) = 3*j + 5. Let d(l) = 3*l + 5. Let n(s) = 4*d(s) - 5*w(s). Determine n(-10).
25
Suppose 2*h - 16 = -2*p, 5*p - 3*p = -5*h + 1. Suppose 4*x + 1 = 2*w - p, 5*x + 14 = -w. Let m(r) = -r**2 - 5*r + 4. Calculate m(x).
10
Let o be 7/(-2) + (-1)/2. Suppose 2*p + 30 = 8*p. Let m(x) = -x + 1. Let j(y) = -6*y - 1. Let h(b) = p*m(b) - j(b). What is h(o)?
2
Suppose 4*q - 52 = 4*u + 12, 0 = 2*q + u - 17. Let p(z) = -66 + z + 15 + 23 + 16. Determine p(q).
-1
Let | {
"pile_set_name": "DM Mathematics"
} |
376*b - 742*b - b**2 + 2 as z + h*b + o*b**4 + q*b**3 + a*b**2 and give z.
2
Rearrange (6*p - 50*p - 19*p)*(-5*p - p + 12*p) to s*p + f + o*p**2 and give s.
0
Rearrange -855*w + 4 - 4 - 830*w - 753*w to the form p + o*w and give o.
-2438
Rearrange (-10*j + 10*j - 10*j**2)*(1 + 0 + 0 + (-2 + 2 - 2)*(3 + 0 - 1) + 1 - 3 + 0)*(-24 - 63 + 22) to the form k*j**2 + v*j + a and give k.
-3250
Express 4*i**4 - 6 + 21*i**4 - 8*i**4 + i**3 - i + 7 + i**3 as o + v*i**3 + j*i + g*i**2 + a*i**4 and give a.
17
Express (0*f + 145 - f + 1019)*(7*f - f - f) as l*f**2 + a*f + z and give a.
5820
Express -4*w**2 + 2*w**2 + w**2 + (3 + 3 - 5)*(1 - 1 - 2*w)*(0*w - 3*w + 5*w) - 12691 - 229*w**2 + 12691 as q*w + g*w**2 + h and give g.
-234
Rearrange -417*h + 122*h - 311*h + 4 - 4 to the form v + k*h and give k.
-606
Rearrange 8 - 8 - 2*a**3 - a**3 - 3*a**4 + 1 + 4*a**3 - a**2 to j + g*a**3 + m*a**4 + y*a + i*a**2 and give g.
1
Express 6*q - 4*q**2 + 2*q**2 + 62*q + 124*q + 447*q in the form a*q**2 + b + n*q and give a.
-2
Express (-1 + 1 + 2*u)*(-u + 4*u + 0*u) + 3*u - 3*u - u**2 - u**2 + 6*u**2 - 6*u**2 as r*u**2 + h*u + z and give h.
0
Express -166*n + 51*n - 68*n - 13*n in the form r + s*n and give s.
-196
Rearrange -8 - 20 - 1 + 16 + 4*a to w*a + v and give w.
4
Express -234*t + 63*t - 110*t - 130*t in the form a*t + i and give i.
0
Rearrange -9 + 31 - 11 - 11 - 718*w to x*w + y and give x.
-718
Express -39*w + 39*w + 199*w**2 as u*w + g + h*w**2 and give h.
199
Express -3 + 3 + 2*a - a - 2*a + 2*a + (-2*a + 3*a + 0*a)*(-3 + 3 - 2) - 25*a + 131 - 131 + (2*a + a - 2*a)*(-5 + 5 - 1) in the form b + n*a and give n.
-27
Express 467*a**2 + 527*a - 527*a + (-a + 2*a - 2*a)*(-3*a + 0*a + 2*a) as u*a + h*a**2 + t and give h.
468
Express (-2*d + 2*d - 2*d)*(0 + 1 - 2)*(-563*d**3 + 2483*d**2 - 2483*d**2) in the form p*d**2 + f*d**3 + k*d**4 + m + n*d and give p.
0
Rearrange (3*x**2 - 2*x**2 - 2*x**2)*((-2 + 2 + 1)*(0 + 0 + 2*x) + 0*x + 2*x - 3*x + 56*x - 106*x - 66*x) to s*x**3 + v*x + j + g*x**2 and give s.
115
Rearrange 9 + 23*k**2 + 12 - 25*k**2 + 0 - 3*k**3 - k**3 to f*k + d*k**2 + a + i*k**3 and give i.
-4
Rearrange (3*m + 4*m - 4*m)*(0 + 4 - 2)*(6 - 6 + 3*m) to the form u*m + s*m**2 + i and give s.
18
Rearrange (1247*l**2 - 4 + 5 - 1237*l**2 - l)*(3*l - 2*l + l) to v*l**2 + r + n*l**3 + z*l and give v.
-2
Rearrange (2 + 0 + 0)*(-69*i - 54*i + 104*i)*(-2 - 4*i - 3*i**2 + 4*i) to the form x*i**3 + m*i**2 + y*i + d and give x.
114
Express -2*x + 0*x + 559 + 219 + 3*x as b*x + u and give u.
778
Rearrange (15 - 15 + 30*h)*(-4 - 1 - 14) to the form n + x*h and give x.
-570
Express (4 + 0 - 2 - 2*q)*(0*q - 3*q + 5*q)*(170 + 159 - 278) as f*q**2 + t*q + y and give t.
204
Express -54*v - 112*v**3 + 53*v + 115*v**3 + 7 in the form u*v**3 + b + t*v**2 + s*v and give u.
3
Express (0*r - r - r)*(-3 + 3 - 8)*(-6 - 6 + 3) in the form b*r + w and give b.
-144
Rearrange (4*d - 3*d + 0*d)*(156 + 170 - 389) + 2*d - 2 + 2 to n + w*d and give w.
-61
Rearrange (-1 + 0 - 2)*(-10*s - 6*s - 5*s)*(5*s**2 - 7*s**2 + 8*s**2) to p + f*s**3 + o*s**2 + q*s and give f.
378
Rearrange (2*k + 0*k + 0*k)*(0 - 2 + 1) + (9 - 5 + 1)*(5*k - 12*k + 20*k) to the form y*k + z and give y.
63
Express -109*h + 51*h + 56*h + 2*h**4 + 2*h**3 - 121*h**4 as l + c*h**2 + f*h + g*h**4 + z*h**3 and give f.
-2
Express 327*c - 327*c + 3*c**3 - 97*c**2 as j*c + y*c**2 + v*c**3 + b and give y.
-97
Rearrange 127*r**2 + 8509 - 8509 to h*r**2 + z + g*r and give h.
127
Express (-5 + 0 + 3)*(4*w**2 + 0*w - 5*w**2 - 2*w) + (8 + 3*w - 8)*(w + 0*w - 3*w) as f*w + d + z*w**2 and give z.
-4
Express -q**2 - 65*q**3 - q**2 + 5 - q + 66*q**3 in the form b + g*q**2 + f*q + p*q**3 and give g.
-2
Express (-1 + 1 - 2*o)*(2 + 0 - 4)*(3 - 1 - 1)*(-1 + 4 - 2)*(-5720 + 5720 - 76*o**2) as y + v*o**3 + s*o + u*o**2 and give v.
-304
Rearrange (-1 - 2*q + 1)*(-1 + 0 - 1) + (-1 + 1 - q)*(3 - 2 + 2) to o*q + y and give o.
1
Rearrange r**2 + r**2 - r**2 + (-3 + 4 + 1)*(5*r**2 + 26*r**2 + 13*r**2) - 3*r - 2*r**2 - 3*r + 3*r - 1 to the form u*r**2 + t*r + b and give t.
-3
Rearrange (-3*v + 3*v - v**3)*(12 - 2 + 8) - v**2 + 14*v**3 - 15*v**3 - 5*v**2 - 2 to the form t*v**3 + a*v + m + i*v**2 and give m.
-2
Express (0*t**2 + 0*t**2 - 3*t**2)*(-2*t + 0 + 0)*(6*t - 2*t - 2*t)*(2 - 6 - 4) in the form f*t**3 + b*t**2 + z*t**4 + w + s*t and give z.
-96
Express 324*i + 208*i - 113*i in the form t*i + r and give r.
0
Rearrange -4550 + 4550 + 101*n**2 to c*n + t + j*n**2 and give j.
101
Rearrange (0 + 0*z - 4*z + 2)*(-3*z - 4*z + 4*z) - 7*z**2 - 19*z + 19*z to l*z + k*z**2 + a and give l.
-6
Express -560*f + 56*f - 84*f in the form j*f + g and give j.
-588
Rearrange (26 + 7 - 3)*(-2*s - s - 5*s) to the form m*s + z and give m.
-240
Rearrange (2*l - 5*l + l)*(167*l - 167*l + 48*l**2) + 2*l**3 - 5*l**2 + 5*l**2 + 2*l**3 + 3 - 3 to the form m + x*l + w*l**3 + c*l**2 and give w.
-92
Rearrange -8 + 8 - 144*l - 612*l to d*l + w and give d.
-756
Express 2*w - 43*w + 21*w - 72*w as x + d*w and give d.
-92
Rearrange (0*l + 3*l - 2*l)*((-1 + 11 + 0)*(-39 + 5 - 46) - 2 + 6 - 3) + (-2 + l + 2)*(-3 - 2 + 3) to the form p + b*l and give p.
0
Express -4*r**2 - 8*r**3 - 4 + r**2 + 44*r - 2*r**2 - 94*r + 48*r in the form p*r + w + t*r**3 + l*r**2 and give w.
-4
Express -k**2 - 2*k + 14*k - 38*k - 74*k in the form p + y*k**2 + t*k and give y.
-1
Express 0 + 440*a**3 - 372*a**3 - 2 as g*a**3 + p + w*a + b*a**2 and give w.
0
Rearrange (-2*x + 0*x + 0*x)*(0 + 0 - 1) + (5 - 3 - 1)*(-2*x + 5*x - x) + 76*x - 310*x - 19*x to the form n*x + f and give n.
-249
Express 5*y - 3*y + 1545 - 1541 + y**2 as t*y**2 + g + u*y and give g.
4
Express -6*f - 35*f**3 - 36*f**3 - f**4 - 3 + 104*f**3 - 36*f**3 in the form j + t*f**4 + k*f**2 + g*f + o*f**3 and give g.
-6
Express 36*d + 147*d + 29*d - 6*d + 3 - 1 in the form c*d + r and give r.
2
Express 12*g**3 + 5*g**2 - 3 - 74*g**3 + 56*g**3 + g in the form b*g + w + p*g**3 + v*g**2 and give b.
1
Rearrange (-h - h**2 + h)*(h - 3 + 3) - h**3 + 2*h - 2*h - 31*h**3 + 2*h**3 - 11*h**2 - 16*h**3 to the form q*h**3 + w + a*h + d*h**2 and give d.
-11
Rearrange -2*f + 57*f**2 + 25*f**3 - 57*f**2 + (f**3 + 1 - 1)*(-3 + 4 + 0) to p + h*f**2 + k*f + w*f**3 and give k.
-2
Express -p**2 - 7*p**3 + 0*p**3 + 6*p**3 + p**4 + 3*p**2 + 1 - 54*p + 1 in the form v*p + g*p**3 + u*p**4 + z*p**2 + c and give u.
1
Express (180*u**2 - 81*u**2 - 36*u**2)*(3*u**2 - 2*u**2 + 0*u**2) as a + m*u**4 + f*u**3 + r*u + t*u**2 and give f.
0
Express (37*i - 12*i + 54*i)*(64 - 31 - 26) as h + r*i and give r.
553
Express (-v - 4 + 4)*(-5*v + 4*v - 3*v) + 3*v**2 - 3*v**2 - 2*v**2 + v**2 + v**2 + v**2 - 6 - 6*v**2 + 6 as h + u*v + p*v**2 and give p.
-1
Express 2*l**2 - 4*l**2 + 13*l**3 + l - 4 - l**4 + l**2 + 1 - 3*l**3 as n*l**2 + a*l**4 + q*l**3 + j + t*l and give t.
1
Rearrange -m**3 + m + 0 + 8 - 4 - 3 to the form n + v*m**2 + r*m**3 + f*m and give v.
0
Rearrange 662*z - 2*z**2 + 2 - 659*z + 3*z**2 to a + y*z + p*z**2 and give p.
1
Rearrange (-2*v + 2 - 2)*(0*v + 0*v + 2*v) + 0*v**2 + v**2 - 2*v**2 + 3*v**2 + 5*v**2 + 2*v**2 - 2*v**2 + 4*v**2 + 0*v**2 to y + g*v**2 + q*v and give g.
7
Express -202*v - 219*v + 59*v - 65*v in the form s + p*v and give p.
-427
Express -89*z + 89*z - 68*z**4 + z - z - 3*z**4 + (2*z**2 + 4*z**2 - 4*z**2)*(-2*z**2 - 2*z + 2*z) in the form o*z**4 + m*z + y*z**2 + c*z**3 + l and give m.
0
Rearrange -196*m - m**3 - 144*m + 397*m - 2*m**3 + m**4 to the form o*m**3 + p*m + k + g*m**4 + w*m**2 and give o.
-3
Express -403*h - 1062*h**2 + 821*h - 418*h as q*h + r + a*h**2 and give a.
-1062
Express r**2 - 2 + 4 + 111*r**4 - 4*r - 109*r**4 as l*r**2 + j*r + h*r**3 + z + u*r**4 and give l.
1
Express -171 + 4*k**3 + 166 - 13*k**3 - 2*k**2 + 13*k**3 + 2*k in the form p*k**3 + z + f*k**2 + i*k and give i.
2
Express -66 + x + 34 + 34 + 17*x**2 as r + i*x**2 + q*x and give q.
1
Rearrange -3*q**4 + 135*q**3 - 323 + 4*q**4 + 321 to m*q**3 + n*q**2 + w*q + b*q**4 + t and give m.
135
Express -17*z**2 - 15*z**2 - 2*z - 2*z**2 in the form m + w*z**2 + x*z and give m.
0
Express -4*q - 1470*q**2 + 1521*q**2 + 2 - 2 as g*q + k + i*q**2 and give g.
-4
Express 63*l + 806*l**2 + 802*l**2 - 1606*l**2 - 2*l**3 as j*l**3 + u + k*l + s*l**2 and give j.
-2
Rearrange -j**4 - 14*j - 12 - 2* | {
"pile_set_name": "DM Mathematics"
} |
r q.
3
Suppose 15 = -6*d + 9*d. Suppose -k + d*k = 16. Solve -5*r - 5*x = 0, 3*r + k*x - 2 = -2*r for r.
2
Let r be (5 - -4) + (2 - 1). Suppose n = -n - 5*t - r, 0 = -4*n - 3*t - 6. Solve o = -n*o + 5*p - 15, 33 = -5*o + 4*p for o.
-5
Let q be 3/(21/6 - 2). Suppose -7 = -q*g + 5. Suppose 3*a - 56 = -14. Solve g*s = 2*s + 2*j + a, 2*j = 6 for s.
5
Suppose t - 20 = -3*t. Let a be 25/t - (2 + -1). Solve -j - 13 = l - 3*j, 3*j = -a*l - 8 for l.
-5
Suppose -33 = -3*p - 2*b + 3, p - b = 7. Solve -3*s + 8*s + 4*t + p = 0, -6 = 3*s - 2*t for s.
-2
Let z(b) = b**3 - 5*b**2 + 6*b - 6. Let x be z(4). Let q = x + 3. Solve 4*i = y + 20, -3*i + 2*i = -3*y - q for y.
0
Let f(o) = -3 + 0*o - 2*o - 2. Let m be f(-4). Solve 0 = d + 3*l - 19, 2*d = -m*d + 4*l for d.
4
Suppose -4*i + 4*w = -8, -2*i + 6*i - 3*w = 10. Suppose -4 = 4*u, i*h = -h - 4*u + 11. Solve r = -4*c - 17, 3*r - h = c + 11 for c.
-5
Let h be (4 + -3)*(0 + 3). Solve z - 2*y + 6 = h*z, -3*z - 2*y + 11 = 0 for z.
5
Let i(b) = -b**2 - 7*b - 7. Let t be i(-5). Suppose -2*k = -4 - 4. Solve -3*p + 2*h = -8*p - 10, 0 = k*p - t*h - 15 for p.
0
Let g = 24 + -17. Solve 0 = 5*h - 4*c - 1, -5*h - c + g = 1 for h.
1
Suppose 2 = -2*z + 12. Suppose -x - 4 = -6. Suppose 0 = x*r + 3 - 9. Solve -r*f + 22 = z*y, 0*f = -2*y + 3*f - 8 for y.
2
Let p be 1 + 2 - (-6)/(-2). Suppose p*z - 15 = -5*z. Solve -k - 8 = z*g, -2*g - 9 = -0*k - 3*k for g.
-3
Let j(q) = q**3 - 2*q**2 - 2*q - 3. Suppose 0 = u + 2*n - 5, -5*u + 0*n + 17 = 2*n. Let t be j(u). Solve 0 = -5*r + g + 16, 24 = 3*r - t*g + 3*g for r.
4
Let t(q) = q**3 - 5*q**2 + 6*q - 3. Suppose 4*o - 12 = o. Let k be t(o). Solve 0 = -4*p + k*y - 25, 30 = 2*p + 4*y + 10 for p.
0
Let o(g) = -g**2 - 10*g + 11. Let c be o(-11). Let y = 12 - 8. Let q = 6 - y. Solve 5*f - 2*s - 10 = -0*s, c = q*f + s - 13 for f.
4
Let p(c) = -c**3 + 5*c**2 - 4*c + 2. Let b(z) = 3*z - 8. Let w be b(4). Let o be p(w). Solve -5*m = -y + 1, -2*m = 3*m + 2*y - o for m.
0
Suppose 0 = -0*i - i - 3*d + 35, 0 = -i - 5*d + 45. Suppose i + 5 = 5*f - 3*t, -17 = -f + 3*t. Solve -5*u - 20 = -5*v, -v - f*u = 3*u + 8 for v.
2
Let l(x) = x**2 - 9*x - 7. Let g be l(10). Let n be -2 + 1 - (2 - g). Solve 25 = -5*y - n*y + 5*a, 5*a = 20 for y.
-1
Suppose -h = -4*h. Solve 4*p + 0*p - 4*w + 4 = h, 0 = 2*p - 3*w + 7 for p.
4
Let r be -5 + 6 + (-1 - 2). Suppose -4*u + 12 = 4*l, -4*l = -3*l - 4*u - 28. Let z = l + r. Solve -h = 2*h + z, 4*i + 12 = -4*h for i.
-1
Suppose -3 + 1 = -2*v. Suppose w - v = 2. Solve -2*m + 2 = -3*p + 18, -2*m - w*p + 8 = 0 for m.
-2
Let x be -3 + (4 - 2) + 3 + -1. Solve -2*v - 3*r = 3, 3*v = -5*r - 5 - x for v.
3
Let k be (4/(-8) + 1)*2. Let d be (-1 + 0)/(2/(-10)). Let f = d - k. Solve f*u = 4*m - 32, 0*u - 4*u + m = 17 for u.
-3
Suppose -2*k = 3*k - n - 14, -k + 3*n = 0. Suppose 1 = k*g - 2. Solve -5*v = b + 24 - g, 0 = 5*v + 25 for b.
2
Suppose 12 = 3*d, 3*t + 0*d + 4*d = 28. Suppose 16 = -z + t*j, 0*z + 2 = 3*z - 2*j. Solve 3*g = -3*o + 3, -g - 3*o + z = o for g.
0
Let o be 84/8*1/(12/8). Solve 0 = 2*a - 0*a - 3*v + o, 0 = -a + 4*v - 1 for a.
-5
Suppose 0 = 2*n + 3*j - 22, -15*n + 18*n = j + 11. Solve n*y - 29 = 2*g, -5*y + 17 = 3*g + g for y.
5
Let v be 0/(-12) - 14/(-2). Suppose r + v = 5*w, 4*r = 2*w + 20 + 42. Solve 4*a - r = i, -4*a - 3*i + 10 = -8*i for a.
5
Let g = 5 - 1. Suppose 3*r = 2*u - 6*u - 3, -2*r - g*u - 6 = 0. Suppose 8*v - 15*v + 112 = 0. Solve 5*b + c + 22 = r*c, -5*b - 4*c - v = 0 for b.
-4
Suppose -8*p + 8 = -4*p. Suppose d = p*d - 5. Solve 10 = 4*s + 5*c - 3, d*s - 11 = -c for s.
2
Let f(z) = z**3 + 4*z**2 - 3. Let u be f(-3). Let n = 13 - u. Solve 2*s = -3*w - n, 0 = -3*s + 2*s + 2*w + 7 for s.
1
Suppose k = -0*k + 12. Let m be (-12 - -11)*(-9)/1. Solve -3*c + 4*o = -2*c - k, 2*c + 3*o + m = 0 for c.
0
Let h = -2 - -4. Let x(y) = 0*y**2 - y**h + 8*y + 0*y**2. Let d be x(7). Solve s + 1 = -r, d*s + 12 = 2*s + 2*r for s.
-2
Suppose -2*i = -5*n + 160, -2*n = i + i - 78. Let x = -21 + n. Solve -f + 4*r = 5*r - 2, 4*r = f + x for f.
-1
Let l = -1 - -4. Solve -p = y - 7, -5*y - 7*p + l*p + 32 = 0 for y.
4
Suppose 4*s = 3*s + 13. Let z = s - 5. Solve -3*k - 4*j = -12, z = 4*k - 2*k + 4*j for k.
4
Let m(t) = 3*t**3 + t - 1. Let d be m(1). Let y be ((-18)/(-21))/(1/63). Let r be (-8)/3*y/(-12). Solve -2 + r = -d*j - 5*z, j = -3*z - 2 for j.
-5
Suppose -2*u + 5 = 3*u + 3*y, -3*u - 13 = 5*y. Solve -u*a - 3*r = -15, -r + 2 = -3 for a.
0
Suppose 4*z - 9 = -1. Suppose -k = -0 - z. Solve -k*w - 8 = -3*y, 5*w = y - 2*y - 3 for w.
-1
Suppose -4*g + 6 = 3*t, 3*g - 4 - 4 = -4*t. Solve 4*u - 22 = 3*s - 0*u, -t*s + 12 = 4*u for s.
-2
Let f = -3 - 4. Let r be (-68)/f - (-6)/21. Let h(t) = -t**2 + 11*t - 3. Let o be h(r). Solve 40 = 2*v - o*v + 3*x, 4*v + x + 15 = 0 for v.
-5
Suppose 0 - 10 = -2*a. Solve 3*j = -0*n - a*n + 5, 2*n - 2 = j for n.
1
Suppose 4*s + 25 = 5*j, -3*j + j = -s - 10. Suppose s = 4*k - 4*p - 12, -k - 3*p + 7 = -2*p. Solve 3*r = -i - 10 - 0, k*i = -r + 6 for i.
2
Let s(w) be the first derivative of -7/3*w**3 + 1/4*w**4 + 7/2*w**2 - 3*w - 2. Let z be s(6). Solve -5*x - k = 9, 4*x + 0*x + z*k + 5 = 0 for x.
-2
Suppose a - 5*a = -8. Let q = -22 + 13. Let t = q + 11. Solve -27 = -5*g - a*o, 0*g - t*o = -2*g + 8 for g.
5
Suppose -3*p = -6*p - 24. Let k be 6/8 - (-6)/p. Solve -3*q = -2*v, k*v + 19 = -2*q - 5*v for q.
-2
Let t(v) = -5*v**2 + 11*v - 7. Let s(k) = -9*k**2 + 21*k - 13. Let m(l) = 6*s(l) - 11*t(l). Let g be m(-6). Solve -5*q + y + 0*y = 23, g*q + 2*y + 14 = 0 for q.
-4
Suppose -3*j + 5 + 5 = -4*i, j - 5 = 3*i. Let z = -7 - -12. Solve -5 = -z*p - 3*g + 4, 0 = -2*p - j*g + 6 for p.
0
Let p(t) = 22*t**2 + 2*t - 1. Suppose -5*r + 5 + 0 = 0. Let k be p(r). Solve 2*h - k = 2*b - h, -3*b + 3 = 3*h for b.
-4
Suppose -2*r - 2*r + 8 = 0. Solve 5*p - 10 = 5*u, -2*p - r = u - 0 for p.
0
Let y = 39 + -27. Solve d = -3*d + 4*w - y, -2*w - 22 = 5*d for d.
-4
Suppose 4*d + 40 = 6*d. Solve 0 = 5*p - 5*o + 5, p = 5*o - 1 - d for p.
4
Let m = 44 - 15. Solve -5*b - l - m = 0, 2*b + 10 = 4*b - 5*l for b.
-5
Let m = 11 + -1. Solve -4*z - 21 = -z - 3*g, -4*z - 5*g - m = 0 for z.
-5
Let d be ((-25)/(-15) - 0)/(1/6). Solve -5*l - 2*z - d = -1, 0 = 2*l - 4*z - 6 for l.
-1
Suppose -2*p + 5*p - 15 = 0. Solve -4*j + p = 2*k + k, 4*k - 4 = -4*j for k.
-1
Let s be -2 - (-3 - -14 - 1). Let t be ((-8)/12)/(2/s). Suppose 0 = 4*l - 12, 4*o + 6 = 2*o + 4*l. Solve 0 = -o*b + t*b - 1, 3*b = 3*z - 12 for z.
5
Let r = 19 - 20. Let t be r/2*(-3 + -7). Solve -3*v + 7 = -x, -t*x + 11 = -3*v - 2 for x.
5
Let k(m) = -m**3 + 8*m**2 + 2. Let l be k(8). Suppose -l*c + 8 = -6*c, 3*b = 5*c + 16. Solve 3*d - 8 = -3*y - b*y, 1 = y for d.
1
Let s be -3 + ((-24)/2)/(-1). Suppose -o + s = -0*o. Let f = -4 + o. Solve -l - f*a + 22 = 0, -2*a + 1 + 3 = -2*l for l.
2
Let q(j) = -j**3 - 5*j**2 - j + 2. Let n be q(-4). Let z = 12 + n. Solve b = -3*h + 1, z*h - 2 = 2*b + 12 for b.
-5
Let u = 35 + -30. Solve 5*g = -25, -u*g = -4*d - 22 + 63 for d.
4
Suppose -2*k - 26 = -3*x, 0 = -4*k + k + 5*x - 41. Let z = -5 - k. Solve 39 - 11 = -4*a + z*t, 13 = -5*a - 3*t for a.
-5
Suppose 8*l = 5*l + 9. Solve -a = 4*j - l + 1, 8 = 4*a + 3*j for a.
2
Suppose 135 = 11*z + 4*z. Solve 2*n = x - 0 - 3, -3*x - z = 0 for n.
-3
Suppose -4*f - 1 + 5 = -p, 3*p - 5 = -5*f. Let z be (-12)/(-3) + f + 0. Solve 31 = -5*d - 4*n + z, -18 = 5*d + 2*n for d.
-2
Let n = -10 + 18. Let j = n - 13. Let u = j + 5. Solve 2*b - 4*c - 24 = u, 5*c = -b - 3*b - 17 for b.
2
Let n(s) = 3*s + 10. Let m be n(-4). Let c = m + 5. Solve -2*g = -c*g + 4*j + 17, -2*g - 4*j - 14 = 0 for g.
1
Let w(o) = 4*o - 3 - o + 3*o**2 - o - 2*o**2. Let y be w(2). Solve y*s + 19 = 4*r, -2*s + 0*r = -r + 7 for s.
-3
Let i be 1/(-2) - (-4)/8. Solve -5*q = -5*o, i = o - 3*q - 7 + 3 for o.
-2
Let r(l) = -l**3 - 8*l**2 - 6*l + 7. Let c be r(-7). Solve c = -2*s - 3*h + 4, 3*s + 2*s = 5*h - 15 for s.
-1
Let v = 6 - 6. Suppose -3*t + 24 + v = 0. Solve o - 7 = 3*h, 3*o + t = -4*h + 4*o for h.
-1
Let n be (6/10)/((-5)/(-25)). Let k = 10 + n. Let i be ((-10)/6)/((-1)/3). Solve 4*h + 4*d - 40 = 0, 0 = i*h + d - 17 - k for h.
5
Let j(m) = -m - 3. Let t be j(-5). Suppose 5*d + 55 = 2*p + t*p, -18 = -3*p - 4*d. Solve 5 = -5*x, -3*q - x + p = 4*x for q.
5
Suppose 27 = 11*p - 6. Solve -p = j - 4*a, | {
"pile_set_name": "DM Mathematics"
} |
206*l**2
Let q = 935 + -940. Suppose -15 + 76 = 5*k - x, -14 = -k + 2*x. Let t(o) = -15*o**3 + 12. Let w(l) = -6*l**3 + 5. Calculate k*w(z) + q*t(z).
3*z**3
Let o(d) = 5*d**3 - 3*d**2 + 7*d + 3. Let t(i) = 4*i**3 - 4*i**2 + 7*i + 4. Determine -4*o(h) + 3*t(h).
-8*h**3 - 7*h
Let m be 6/(-18) + (-83)/3. Let x = m - -34. Let c(p) = 3*p + 1. Let o(q) = -6*q - 2. Give x*o(u) + 13*c(u).
3*u + 1
Let g be (16/(-10))/(12/(-30)*1). Let t(n) = 5*n + 4. Let l(b) = -6*b - 5. Give g*t(w) + 3*l(w).
2*w + 1
Let v = -5 + 9. Let y(j) = -8 + 1 - v + 16*j**3 + 11*j**2 + 11*j. Let c(t) = 0 - 804*t**3 + 2 - 4 + 2*t + 807*t**3 + 2*t**2. Give 22*c(k) - 4*y(k).
2*k**3
Let f(y) = y**3 - 5*y**2 - 4. Let o(w) = 2*w**2 + 2. Let z = -12 - -7. Suppose 6*v = -11 - 1. Determine v*f(q) + z*o(q).
-2*q**3 - 2
Let m(x) = 6*x - 1. Let v(c) = -13*c + 8. Let i(y) = 1. Let g(h) = -6*i(h) + v(h). Suppose -6*l - 9 = 21. Give l*m(z) - 2*g(z).
-4*z + 1
Let q(y) = -y**2 + 3*y - 1. Let f(z) = -59*z**3 + 6*z**2 - 17*z + 6. Give -f(o) - 6*q(o).
59*o**3 - o
Let b(t) = 7*t**2 - t - 5. Let p(s) = -4*s**2 + 3. Calculate -3*b(m) - 5*p(m).
-m**2 + 3*m
Let a(c) = -18*c - 232. Let d(t) = -80*t - 929. Determine 9*a(r) - 2*d(r).
-2*r - 230
Suppose 0 = 5*n - 7*n + 12. Suppose 2*f - n - 8 = 0. Let y(s) = 13*s**2 + 5*s. Let r(j) = -6*j**2 - 2*j. Give f*r(o) + 3*y(o).
-3*o**2 + o
Suppose -3*z - j = 5, -4*z + j = 11 - 2. Let w(l) be the third derivative of -l**4/24 + l**3/3 + 8*l**2 + 2*l. Let c(v) = 2*v - 5. Give z*c(q) - 5*w(q).
q
Let u(t) = -6*t - 101. Let g(h) = -8*h - 153. What is 5*g(p) - 8*u(p)?
8*p + 43
Let w(m) = 5*m**2 + 6*m - 4. Suppose 4*u + 2*v = -30, -u - 14*v - 18 = -10*v. Let t(x) = -10*x**2 - 11*x + 7. Calculate u*t(k) - 11*w(k).
5*k**2 + 2
Let i(z) = -18*z**3 + z**2 - 2*z - 7. Let k(q) = 26*q**3 - q**2 + 3*q + 10. Calculate 7*i(y) + 5*k(y).
4*y**3 + 2*y**2 + y + 1
Let h(v) = -v**2 - 6 + 7*v + 3 + 1. Let n be h(6). Suppose 194*s = 187*s + 21. Let g(o) = 5*o - 2. Let j(b) = -4*b + 1. Give n*j(m) + s*g(m).
-m - 2
Let h(c) = -5*c - 5. Let n(b) = -6*b - 5. Let o(i) = 4*h(i) - 3*n(i). Let z = 4 + -9. Let k(m) = 2*m - 26 + 2*m - 3*m + 28. What is z*k(y) - 2*o(y)?
-y
Suppose -3*n = -2*n - 4*s - 16, 3*s = 2*n - 17. Let t(a) = -8*a + 7*a - 5*a**3 + n*a**3 - 1. Let m(r) = -20*r**3 - 18*r - 18. What is 2*m(i) - 36*t(i)?
-4*i**3
Let u(d) = -9*d**2 - 11*d - 1. Let x(a) = 12*a - 17*a - 1 + 16*a**2 - 5*a**2 - 16*a**2. Determine 3*u(r) - 5*x(r).
-2*r**2 - 8*r + 2
Let w(s) = -131*s + 127*s - s**2 + 2 - 4. Let l(d) = 2*d**2 + 9*d + 5. What is 3*l(m) + 7*w(m)?
-m**2 - m + 1
Let k(d) = 4*d + 4. Let q(j) = j + 1. Let y be (-31)/(-8) + 5/40. Suppose 0 = y*n - 20. Calculate n*q(o) - k(o).
o + 1
Let d(y) = -2*y**3 + 4*y - 4*y**2 + 9*y - 16*y - 1. Suppose -30 = 14*q - 9*q. Let r(i) = 3*i**3 + 7*i**2 + 5*i + 2. Determine q*r(c) - 10*d(c).
2*c**3 - 2*c**2 - 2
Let a(j) = -21*j - 1. Let h(c) = -27*c - 169. Let d be h(-6). Let b(n) = -31*n - 1. Calculate d*a(y) + 5*b(y).
-8*y + 2
Let z(q) = -1. Let o = 17 + -56. Let f = -36 - o. Let h(i) = -2*i - 5. Give f*z(a) - h(a).
2*a + 2
Let k(v) = -1. Let p(l) = l**3 + 2*l**2 + l + 3. Give 4*k(a) + p(a).
a**3 + 2*a**2 + a - 1
Let i(u) = 315*u**2 - 378*u + 189. Let v(f) = -2*f**2 + 2*f - 1. Calculate -2*i(x) - 378*v(x).
126*x**2
Let z be -4 + (1 + -2*53)*-1. Let n = z + -87. Let r(c) = 7*c**3 - 5*c**2 - 3*c + 5. Let m(q) = 20*q**3 - 14*q**2 - 8*q + 14. Determine n*r(v) - 5*m(v).
-2*v**3 - 2*v
Suppose 55*h + 5 = 50*h. Let u(j) = j**2 - j. Let o(s) = 21*s**2 - 18*s - 3. Give h*o(c) + 18*u(c).
-3*c**2 + 3
Let x(l) = 56*l - 16. Let m(v) = -18*v + 5. What is -7*m(n) - 2*x(n)?
14*n - 3
Let n(v) = -1095*v**3 - v**2 - 5*v. Let z(o) = -548*o**3 - 2*o. Determine 2*n(h) - 5*z(h).
550*h**3 - 2*h**2
Let g be ((-3)/2)/(3/6). Let f(i) be the second derivative of 0 - 1/2*i**3 - 12*i + 11/2*i**2. Let r(z) = -z + 5. Give g*f(n) + 7*r(n).
2*n + 2
Let u(g) = -g**3 + 1. Let k(m) = 4*m - 3*m + 24 + 8*m. Let x be k(-6). Let f(n) = 25*n**3 - 30. Give x*u(o) - f(o).
5*o**3
Let k(i) = i**3 - 5*i**2 - i - 5. Let h(o) = -6*o**2 + o - 12. Let l(r) = -r**3 + r**2 + r - 2. Let g(x) = h(x) - 2*l(x). Determine 5*g(w) - 8*k(w).
2*w**3 + 3*w
Let a(v) = 6*v - 6. Let m(o) = 140*o + 7. Let l(u) = -17*u - 1. Let q(z) = -49*l(z) - 6*m(z). Give -6*a(f) - 5*q(f).
-f + 1
Let z(p) = 4 + 3 + 3 - 9. Suppose -5 = 5*o - 5*v, v + 0 = 2*o + 1. Let u = o - 1. Let a(h) = 2*h + 4. Give u*a(c) + 4*z(c).
-2*c
Let a(k) = 9*k + 448. Let m(p) = 4*p + 225. Determine -3*a(w) + 7*m(w).
w + 231
Suppose -9 = -5*k + 2*k. Let g(d) = 10*d + 8 - 9 - 9. Let h(q) = 7*q - 7. Let w(a) = 5*g(a) - 7*h(a). Let y(t) = 1. Calculate k*w(b) + 3*y(b).
3*b
Let z(p) = -7*p - 2. Let u be (80/32)/(1/2). Suppose u*r + 36 = -r. Let h(c) be the first derivative of 4*c**2 + 2*c - 5. Give r*z(t) - 5*h(t).
2*t + 2
Let j(i) = -i**3 - i**2 - 1. Let t(g) = -11*g**3 - 6*g**2 + 17*g - 6. Give -6*j(v) + t(v).
-5*v**3 + 17*v
Let w(j) be the third derivative of -j**6/40 + 5*j**4/24 + 5*j**3/6 + 1194*j**2. Let o(i) = -3*i**3 + 4*i + 4. Let q be 1/(-1*2/10). Give q*o(n) + 4*w(n).
3*n**3
Let z(h) = -54*h**2 - 2*h. Let n(d) = 2646*d**2 + 99*d. What is 2*n(p) + 99*z(p)?
-54*p**2
Let z(c) = c**2 - 1. Let y(p) = 7*p**3 - 4*p**2 + 8*p. Let n(b) = y(b) + 4*z(b). Let i(q) = -41 + 9*q + 20 + 3*q**3 + 5*q**3 + 16. Calculate -6*i(s) + 7*n(s).
s**3 + 2*s + 2
Let w(f) = -4*f - 3. Let h(c) be the second derivative of c**3/2 + 3*c**2/2 - 342*c. Determine -3*h(r) - 2*w(r).
-r - 3
Let w(t) = -6*t**3 + 3*t**2 + 3*t - 3. Let f(z) = 5*z - 6*z**3 + 0*z**3 - 13 + 10 + 4*z**2 - z - 1. What is -3*f(y) + 4*w(y)?
-6*y**3
Let b(y) = 131*y**3 - 4*y**2 + 2*y - 2. Let d(r) = -525*r**3 + 17*r**2 - 9*r + 9. What is 9*b(i) + 2*d(i)?
129*i**3 - 2*i**2
Let z(w) = 13*w + 8. Let o(x) = 37*x + 23. Let a(b) = 6*o(b) - 17*z(b). Let p(n) be the first derivative of -n**2/2 - n + 2. Calculate -a(y) - 2*p(y).
y
Let i(g) = 2*g + 5. Let w(n) = -4*n - 9. Let p = 67 + -31. Let l be (-9)/p - (-26)/8. Let c(b) = -b**2 + 13*b - 7. Let x be c(12). Calculate l*w(f) + x*i(f).
-2*f - 2
Let b(j) = -23*j. Let h(t) = 21*t - 1. Give -3*b(f) - 2*h(f).
27*f + 2
Let z(o) be the third derivative of o**2 + 0*o + 0 + 0*o**3 + 2/3*o**4. Let y = 72 - 50. Let q(k) = 3*k. Calculate y*q(r) - 4*z(r).
2*r
Suppose -112*a + 89 = -135. Let b(q) = -3*q**2 - 5*q + 2. Let z(x) = 15*x**2 + 25*x - 11. Calculate a*z(y) + 11*b(y).
-3*y**2 - 5*y
Let l(y) be the first derivative of 2*y**3/3 - y**2/2 - 6*y - 1. Let p(o) be the second derivative of -o**4/6 + o**3/6 + 7*o**2/2 - 74*o. Give -7*l(m) - 6*p(m).
-2*m**2 + m
Let d(n) = -9*n + 18. Let s(k) = 16*k - 36. Give 5*d(f) + 3*s(f).
3*f - 18
Let l(a) = -1 - a + 3 - 3. Let m be l(-2). Let c(i) = -3*i + i**2 + 4 + m - 7. Let r(j) = j. What is c(p) + 2*r(p)?
p**2 - p - 2
Let t be 3/2 + ((-20)/(-5))/(-8). Let c(k) = -k - 1. Let r(p) = 63*p + 54. Determine t*r(b) + 54*c(b).
9*b
Let f(r) = -r + 129. Let n(c) = 2*c - 191. Calculate 7*f(z) + 5*n(z).
3*z - 52
Let w(h) = -3*h**2 + 2*h + 2. Let q(n) = 5*n - 54. Let b be q(10). Let s(c) = c**2 - c - 1. Give b*s(y) - 2*w(y).
2*y**2
Let z(t) = -2*t - 2. Let y(b) = 2 + 32*b - 51*b + 20*b + 1 - 1. Let r(w) = -w**2 - 6*w - 3. Let p be r(-4). What is p*y(n) + 4*z(n)?
-3*n + 2
Let i(d) = 11*d**3 - 64*d**2 - 11*d + 6. Let z(p) = -9*p**3 + 62*p**2 + 10*p - 5. What is -5*i(t) - 6*z(t)?
-t**3 - 52*t**2 - 5*t
Let h(l) = 3*l**2 - 63. Let j(k) = 3. Suppose 216*r - 222*r = -378. What is r*j(u) + 3*h(u)?
9*u**2
Let x(v) be the first derivative of 3*v**2 - 3*v + 11. Let l(o) = -2*o + 21. Let k be l(11). Let m(p) = p - 1. What is k*x(a) + 4*m(a)?
-2*a - 1
Let s(o) = 6*o + 4. Let d(h) = 6*h + 5. Suppose 7*i - 23 = 5. Determine i*s(n) - 3*d(n).
6*n + 1
Let j(z) = z. Let p(r) = 2*r - 2. Let q(c) = -4*j(c) + p(c). Let m(h) be the first derivative of -5*h**2/2 - 5*h + 4. Determine -4*m(y) + 9*q(y).
2*y + 2
Let m(o) = -o + 2. Let f(k) = -1 - 3 + 3 + 0. Suppose -3*g = -5*g + 12. Suppose -12*r + 24 = -12. Determine g*f(t) + r*m(t).
-3*t
Let v(t) = -7*t + 8. Let x(g) = -6*g + 7. Let a = -36 + 60. Let w = 28 - a. Calculate w*v(k) - 5*x(k).
2*k - 3
Let j = 21 + -24. Let g(f) = f**2 - f. Let b(l) = -2*l**2 + 3*l - 4. Calculate j*g(i) - b(i).
-i**2 + 4
Let y(v) = 57*v**2 - 7*v + 2. Let w(q) = 58*q | {
"pile_set_name": "DM Mathematics"
} |
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0
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7
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3
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1
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4
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7
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0
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6
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2
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9
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3
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8
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7
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2
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8
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4
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6
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4
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8
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9
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3
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2
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6
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8
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8
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3
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7
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4
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1
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9
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3
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1
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2
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3
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7
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5
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8
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1
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3
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4
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8
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6
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2
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3
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4
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9
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6
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2
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4
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7
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8
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3
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4
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5
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8
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1
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9
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7
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6
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6
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4
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7
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5
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3
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2
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2
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6
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1
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9
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3
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8
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4
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1
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7
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4
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6
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9
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7
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9
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8
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8
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4
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1
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6
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6
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0
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7
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3
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0
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0
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6
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3
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5
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2
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4
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1
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0
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4
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5
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9
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9
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4
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3
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8
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5
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9
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4
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9
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7
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9
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5
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6
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1
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9
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2
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3
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3
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5
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9
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1
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1
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9
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5
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0
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2
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1
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0
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7
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4
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3
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9
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2
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6
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9
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9
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9
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2
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1
What is the ten thousands digit of 7799171?
9
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5
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1
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3
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5
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8
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1
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5
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3
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2
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1
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9
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2
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1
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3
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1
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5
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9
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6
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1
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8
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1
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1
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5
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6
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4
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0
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6
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2
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6
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1
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4
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1
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9
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6
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1
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2
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5
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3
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5
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1
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6
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4
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5
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7
What is the hundred thousands digit of 45027507?
0
What is the ten thousands digit of 222127?
2
What is the thousands digit of 332791?
2
What is th | {
"pile_set_name": "DM Mathematics"
} |
factor of 9 and m.
9
Let w(v) = v**3 - 16*v**2 - 15*v - 7. Let c be w(17). Let k be (((-3)/9)/(1/18))/((-6)/621). Calculate the highest common divisor of c and k.
27
Suppose 23 + 1 = c. Suppose -14 = t - 5*v, 2*t - 2*v + 1 = 5. Suppose 3*k = -z + 9, 2*k - 8 + t = 0. What is the greatest common factor of c and z?
6
Suppose 0 = 7*c + 112 + 140. Let s = -19 - c. Suppose s*p = 13*p + 1064. What is the highest common factor of 38 and p?
38
Let k = 7495 - 7231. What is the greatest common factor of 1364 and k?
44
Suppose 632 + 4288 = 2*y. What is the highest common factor of 60 and y?
60
Suppose 2678 - 197 = 3*x. Let h = x + -443. What is the greatest common factor of 24 and h?
24
Suppose -98 + 213 + 325 = 8*k. What is the highest common factor of 473 and k?
11
Suppose -6*m + 51907 = 7*m + 4*q, m + 3*q - 4009 = 0. Calculate the greatest common factor of m and 13.
13
Suppose 4*m - 3560 = 2*a + 472, -5*a = 5*m - 5025. What is the highest common factor of m and 1113?
53
Let c = -126 + 63. Let k = c + 52. Let w be (-15 - k)/((-1)/2). Calculate the highest common factor of 40 and w.
8
Suppose 64 + 1448 = -7189*d + 7207*d. Calculate the greatest common divisor of 14154 and d.
42
Suppose 0 = l - 3*w - 41, -4*l - 3*w + 11 + 108 = 0. Let q = l + -15. Calculate the highest common factor of 187 and q.
17
Let u be 76 + (-4)/(-4)*-5. Suppose 2*m + 5*f - 107 = 0, 5*m - 3*f = 181 + u. What is the highest common divisor of m and 17?
17
Let h = -268 + 271. Suppose -5*q = -2*i + 12, h*i + q = 26 + 9. What is the greatest common factor of i and 99?
11
Let z = 4320 + -4296. Calculate the highest common divisor of z and 543.
3
Suppose 0*n = -4*b - 5*n - 13, -b - n = 2. Let t(f) = -7 - 2*f + 8 + 7 - b*f + f**2. Let l be t(5). Calculate the greatest common divisor of l and 88.
8
Let q be (382/(-6) - -3)/(15 - 423/27). Let o be 20/(-5) + 4 - -49. Calculate the highest common divisor of q and o.
7
Suppose -r = -6*r + 15. Suppose v - 18 = 2*d, 19*v = 16*v + r*d + 51. Calculate the highest common divisor of 40 and v.
8
Let k be (15/(-12))/(-5)*-1218*(-756)/441. Calculate the greatest common divisor of 162 and k.
18
Suppose 3*y = -2*y + 295. Let g = 13252 + -13193. What is the greatest common factor of g and y?
59
Let z(c) = 118*c - 2592. Let u be z(22). Calculate the greatest common factor of 722 and u.
2
Suppose 0 = -n + 3*j - 2*j + 48, 4*j = 2*n - 102. Suppose -14*c + 313 + 191 = 0. What is the greatest common divisor of n and c?
9
Suppose -19163 = 4*t - 19383. Calculate the highest common divisor of t and 154.
11
Let v be (-187)/(1/1*((-135)/(-198))/(-15)). Calculate the highest common factor of 408 and v.
34
Let r(z) = 3*z**2 + 5*z - 4. Let q be r(-4). Suppose o = -2*n + q, 8 = n - o + 2. Suppose -3320 = -170*d + 4*d. What is the greatest common factor of n and d?
10
Suppose 70*w - 17*w + 2385 = 0. Let y be (117 + w)/((-2)/(-1)). What is the highest common factor of 300 and y?
12
Suppose 586 = -3*m + 5*j, m + 25 = -2*j - 185. Let l = m - -207. Calculate the greatest common divisor of l and 80.
5
Let d(v) = -83*v**3 - v. Let s be d(-1). Suppose -204 = -25*f + 496. What is the highest common divisor of f and s?
28
Let i be (((-378)/8)/1)/((-132)/352). Let r(v) = i*v**2 - 127*v**2 - v + 1 + 6. Let q be r(2). Calculate the highest common factor of q and 13.
1
Suppose 5*w = 3*t + 277, 0 = -2*w - 0*w - t + 113. Suppose -w - 42 = -m. Suppose -20 + 1392 = 70*s + 28*s. Calculate the greatest common factor of m and s.
14
Let a be 20/(-6)*(-42)/35. Let w be a/(-7) - (-1700)/35. Calculate the highest common divisor of 108 and w.
12
Let c(p) = 396*p**2 - 29*p + 26. Let h be c(1). Calculate the highest common divisor of 4192 and h.
131
Let f = -12 + 40. Suppose -770 + 5 = 17*k. Let y be 44/6 - (-15)/k. Calculate the highest common divisor of y and f.
7
Let w = 145 - 136. Suppose 54 = 3*x + 3*j + w, 4*x + j - 51 = 0. What is the greatest common factor of x and 60?
12
Let t = -22236 + 22243. Calculate the highest common divisor of 959 and t.
7
Suppose 493 = -4*w + 3*b + 2567, 0 = -4*w - 3*b + 2086. What is the greatest common factor of 80 and w?
40
Suppose 5 + 10 = 5*d. Suppose -d*c + 22 = 34. Let t be c*(-1 + (-1)/(-4)). Calculate the highest common divisor of t and 27.
3
Let t(n) = -2*n**2 - 36*n + 3. Let x be t(-18). Let b be 285 + 4 + (2 - x). What is the highest common divisor of b and 18?
18
Let f = -9439 + 18199. Calculate the highest common divisor of f and 657.
219
Let h(a) = 3*a**3 - 127*a**2 + 40*a + 134. Let b be h(42). What is the highest common factor of 4490 and b?
10
Let q(m) = 48*m + 2. Let x be q(-2). Let t = -1126 - -1237. Let h = t + x. Calculate the greatest common divisor of 51 and h.
17
Let s(u) = -19*u + 6. Suppose p + 3*p = -12. Let o(t) = -t**2 - 3*t - 3. Let w be o(p). Let h be s(w). What is the greatest common divisor of h and 21?
21
Let w = -14908 - -14917. Let q be (4/10)/((-3)/15). Let j = 38 + q. Calculate the greatest common factor of j and w.
9
Let x = 261 + -279. Let u be ((-44)/(-3))/((-93)/x + -5). What is the greatest common factor of 16 and u?
8
Let z = 35295 + -12583. What is the highest common factor of z and 17?
17
Suppose -11*m + 280 = 60. Let f(k) = 2*k**2 - 37*k - 42. Let x be f(m). What is the greatest common divisor of 18 and x?
18
Let g = -105 - -169. Let s = -2462 - -2460. Let l be 3 + (-1)/(s/g). What is the highest common divisor of l and 14?
7
Suppose 56 = w - 0*w. Let o = 269 + -57. Let t = o - 72. Calculate the highest common divisor of t and w.
28
Suppose 0 = -20*y + 22*y + 40. Let s be y/(-4) - (11 - 361). Calculate the highest common factor of 5 and s.
5
Suppose -5*n = k - 25, -5*n + 125 = 150. Calculate the greatest common factor of 235 and k.
5
Let p(j) = 19*j + 495. Let d(z) = 29*z + 742. Let n(v) = -5*d(v) + 8*p(v). Let k be n(-34). What is the greatest common factor of k and 300?
12
Suppose 7*b + 121432 - 323116 = 0. What is the greatest common divisor of 12 and b?
12
Let h = 131 + -127. Suppose -3*z - 2*o + 10 = 0, h*z + 5*o - 17 = -6. Calculate the greatest common divisor of z and 92.
4
Let w be (-3*1)/(9/12). Let c be (-308)/(-21)*(-6)/w. Let z be (2/((-4)/(-11)))/(318/1908). Calculate the greatest common factor of z and c.
11
Suppose -9 = 3*u, -409*s - 180 = -410*s - 3*u. Let t = 517 - 349. What is the greatest common divisor of t and s?
21
Let v(g) = g**2 + 12*g - 31. Let b be v(-13). Let c be (-6)/(4/(-2)) - b - 1. Calculate the greatest common factor of c and 380.
20
Suppose r = -0*r - 111. Let g = r - -199. Let q = g + -46. What is the greatest common factor of q and 6?
6
Let b be ((-8)/6 - (2072/6)/(-7)) + -2. Let t be 69/2*20/3. What is the highest common divisor of t and b?
46
Suppose -l + 5*u + 67 = 0, -28*u = 2*l - 30*u - 150. Suppose -3*z - 3*b + l = -16, 4*z - 129 = b. What is the greatest common factor of z and 6?
2
Let j(a) = a**3 + 11*a**2 - 63*a - 20. Let x be j(-15). Suppose x*t - 12 = 21*t. What is the highest common factor of 30 and t?
3
Let r = 144 - 142. Suppose -q = -j + 8, -r*j + 28*q + 16 = 30*q. Calculate the highest common factor of 104 and j.
8
Let d(q) = q**2 - 7. Let m be d(-4). Suppose -m*r - 15 = -42. Suppose y + 196 = 2*p + 6*y, 2*p = -r*y + 204. Calculate the highest common factor of p and 12.
12
Let q = 38 + -34. Let a be q + 100 - 3/(-9)*0. Let c = a + -86. What is the highest common factor of 6 and c?
6
Suppose 56 = 2*n + 4*t, n + 2*t = 5*t + 38. Let j be ((-3)/(-2))/((-12)/n)*-2. Suppose 53 - 5 = j*d. What is the greatest common divisor of 42 and d?
6
Let g = -42 - -99. Calculate the highest common factor of 38 and g.
19
Suppose -917 - 253 = -2*x. Suppose 2*w = -7*w + x. What is the highest common factor of w and 52?
13
Let c = 99 + -143. Let k = 45 + c. Let m be 50 - (k - -1 - 0). Calculate the greatest common divisor of m and 32.
16
Suppose 451 = 39*k - 38*k. Suppose 0 = 5*b - 156 + k. Let p = 78 + b. Calculate the greatest common factor of p and 38.
19
Let l be 0/(-4)*(-2)/(-8). Let j be l/2 + (25 - 6). Let g = j + -10. Calculate the highest common divisor of 27 and g.
9
Let l = -1 + 7. Suppose 5*h - 451 = 3*v, 0 = 2*h - 3*v - 212 + 37. Let z = 94 - h. What is the greatest common divisor of z and l?
2
Let m(n) = -5512*n**3 - 51*n - 50. Let x be m(-1). Calculate the highest commo | {
"pile_set_name": "DM Mathematics"
} |
)**2
Let i be (37 - 40) + (-1 + 0)*-6. Determine v so that 2/13*v + 64/13*v**i - 20/13*v**2 - 64/13*v**4 + 0 = 0.
0, 1/4, 1/2
Let j(v) = 5*v**2 + 15*v + 10. Let r(i) = 26*i**2 + 74*i + 50. Let o(f) = 22*j(f) - 4*r(f). Find w, given that o(w) = 0.
-5, -2/3
Solve -1/2*c**2 + 0*c + 2 = 0 for c.
-2, 2
Let m(q) be the second derivative of -5*q**9/10584 + q**8/1960 + q**7/1470 + 7*q**3/6 + 3*q. Let l(f) be the second derivative of m(f). Let l(d) = 0. What is d?
-2/5, 0, 1
Let l(y) be the first derivative of y**8/490 - y**7/588 - y**6/630 + y**3/3 - 2. Let r(n) be the third derivative of l(n). Find d such that r(d) = 0.
-1/4, 0, 2/3
Let d = -40 + 29. Let a(k) = k**3 + 10*k**2 - 11*k + 2. Let g be a(d). Find h such that -2*h**g - h**2 + h**2 = 0.
0
Let t(b) be the first derivative of -b**2/2 + 16*b - 1. Let o be t(16). Factor 0 + o*d + 2/3*d**2 - 1/3*d**4 + 1/3*d**3.
-d**2*(d - 2)*(d + 1)/3
Let t(n) be the third derivative of n**6/180 - n**5/30 + n**4/12 - n**3/9 + 22*n**2. Factor t(i).
2*(i - 1)**3/3
Let j(m) be the first derivative of -5*m**4/14 + 2*m**3/3 - 2*m**2/7 - 2. Factor j(l).
-2*l*(l - 1)*(5*l - 2)/7
Let r(k) be the first derivative of -k**5/10 + k**4/4 - k**2/2 + k/2 - 3. Factor r(c).
-(c - 1)**3*(c + 1)/2
Let x(a) be the second derivative of -7*a**5/5 - 5*a**4/3 + 32*a**3/3 - 8*a**2 - 3*a + 7. Factor x(m).
-4*(m - 1)*(m + 2)*(7*m - 2)
Let s(w) be the second derivative of -w**5/10 + 2*w**4/3 - 5*w**3/3 + 2*w**2 + 20*w. Determine t, given that s(t) = 0.
1, 2
Let p(q) be the first derivative of q**6/1080 - q**5/180 + q**4/72 + q**3/3 - 2. Let z(k) be the third derivative of p(k). Find f such that z(f) = 0.
1
Factor 1 + y - y - 2*y - y**2 + 2*y**2.
(y - 1)**2
Let s(y) = -5*y**4 + 5*y**3 + 9*y**2 - 2*y - 7. Let q(a) = -24*a**4 + 24*a**3 + 44*a**2 - 10*a - 34. Let r(i) = 3*q(i) - 14*s(i). Factor r(j).
-2*(j - 2)*(j - 1)*(j + 1)**2
Factor 0 + 4/15*f**2 - 2/15*f**3 - 2/15*f.
-2*f*(f - 1)**2/15
Let b be 6/8 + 21/(-28). Let h(d) be the third derivative of -d**2 + 1/180*d**6 + 1/18*d**5 + 4/9*d**3 + 2/9*d**4 + b*d + 0. Factor h(l).
2*(l + 1)*(l + 2)**2/3
Let i(p) be the second derivative of -p**4/2 + 3*p**3/2 + 3*p**2 - 3*p. Factor i(g).
-3*(g - 2)*(2*g + 1)
Let b = -47999/150 - -320. Let l(t) be the second derivative of -b*t**6 + 0 - 1/50*t**5 - 4*t + 1/15*t**3 + 1/10*t**2 + 0*t**4. Factor l(o).
-(o - 1)*(o + 1)**3/5
Let a(q) be the first derivative of 2*q**7/105 - q**6/15 + 3*q**2/2 + 2. Let k(n) be the second derivative of a(n). Factor k(j).
4*j**3*(j - 2)
Let r(n) = n + 21. Let f be r(-15). Let 0*b - 9*b + 0*b**3 + 3*b**3 + f*b**2 = 0. Calculate b.
-3, 0, 1
Suppose -6*f**3 - 4 + 6*f - 4*f**2 + 12*f - 4*f = 0. What is f?
-2, 1/3, 1
Let s(c) be the second derivative of 0*c**2 - 1/6*c**4 + 1/6*c**3 + 0 + 1/20*c**5 - c. Solve s(z) = 0.
0, 1
Let r = -1 - -3. What is w in w - w**r - 2 + 4 + 0*w = 0?
-1, 2
Let a be (-2)/(-12)*-11 - -2. Let g(w) be the second derivative of -w + 1/15*w**6 + 1/3*w**3 - 1/10*w**5 + 0*w**2 - a*w**4 + 0. Factor g(t).
2*t*(t - 1)**2*(t + 1)
Factor 25*s**2 + 35*s + 20 - 30*s + 40*s.
5*(s + 1)*(5*s + 4)
Let b(j) be the first derivative of -3/5*j**2 - 9/5*j - 2 - 1/15*j**3. Factor b(u).
-(u + 3)**2/5
Let r = -2 + 2. Suppose 0*g + 2*g - 8 = r. Solve -g*s + 4*s - s**2 = 0 for s.
0
Let h(k) be the first derivative of 1/6*k + 8/9*k**3 - 9 - 2/3*k**2. Factor h(i).
(4*i - 1)**2/6
Let m(j) be the first derivative of -j**6/21 - 2*j**5/35 + 3*j**4/14 + 10*j**3/21 + 2*j**2/7 + 18. Determine x, given that m(x) = 0.
-1, 0, 2
Let k(i) = -11*i**2 - 7*i + 6. Let m(c) = -21*c**2 - 14*c + 13. Let w(f) = 13*k(f) - 6*m(f). Let s(o) = -4*o**2 - 2*o. Let v(y) = 9*s(y) - 2*w(y). Factor v(n).
-2*n*(n + 2)
Let p(y) be the third derivative of -5*y**2 + 0*y**3 + 1/315*y**7 + 1/60*y**6 + 1/36*y**4 + 0 + 1/30*y**5 + 0*y. Determine m so that p(m) = 0.
-1, 0
Let m be 2*(2 - -1) - 2. Suppose g**m - 14*g + 12*g**2 - 6*g**3 + 0*g**4 + 6*g = 0. Calculate g.
0, 2
Let d = 3/139 + 547/417. Factor d*u + 0 + 2/3*u**2.
2*u*(u + 2)/3
Let h be (-8)/(-6)*15/10. Factor 0*f + 2*f + 27 - 30 + 0*f**2 + f**h.
(f - 1)*(f + 3)
Let u(w) be the second derivative of 1/48*w**4 - 3*w + 0*w**2 - 1/24*w**3 + 0. Factor u(p).
p*(p - 1)/4
Let x be ((-292)/2482)/((-2)/34). Solve 8/7*d + 4/7*d**3 + 12/7*d**x + 0 = 0 for d.
-2, -1, 0
Suppose 0*s + 4 = 2*r - 2*s, 3*r + 5*s = 30. Let v(u) be the second derivative of 0*u**2 + 3*u + 0 - 1/50*u**r - 2/15*u**3 - 1/10*u**4. Factor v(f).
-2*f*(f + 1)*(f + 2)/5
Suppose -4*q - 4 = 0, t + 8 = 4*t + q. Let c(v) = -v**3 - 4*v**2 - 3*v + 4. Let w be c(-3). Find a such that -2*a**2 - 3*a**3 + w*a**t + a**3 = 0.
0, 1
Suppose 0*s = 4*s - 4. Let f(t) = 5*t - 1. Let o be f(s). Factor -2/5*x + 0*x**2 + 1/5 + 2/5*x**3 - 1/5*x**o.
-(x - 1)**3*(x + 1)/5
Let h(s) = 3*s**2 - 1. Let p be h(1). Suppose p*c - 1 = 5. What is q in c*q - 2*q**2 + q**3 - 2*q + 0*q**2 = 0?
0, 1
Factor -24*x**4 - 3 + 3 + 14*x**4 - 2*x**3.
-2*x**3*(5*x + 1)
Let h = 44 - 22. Let q = h - 11. Factor 12*d**3 + 4*d - 9/2*d**4 - 1/2 - q*d**2.
-(d - 1)**2*(3*d - 1)**2/2
Let n = 11 - 9. What is x in n*x**2 + 3*x - 6*x - 3*x**2 - 2 = 0?
-2, -1
Suppose -5*o + 0*b - 3*b = 0, 3*o = -b - 4. Let m = o - -5. Suppose x**3 - x**4 - 3*x**2 - 2*x**3 - x - m*x**3 = 0. Calculate x.
-1, 0
Let f(i) be the third derivative of -i**6/540 + i**5/90 - i**4/54 - 5*i**2. Factor f(d).
-2*d*(d - 2)*(d - 1)/9
Suppose 3*t - 49 = -2*y, -5*y + 15 = -2*y. Suppose 1 = -3*c + t. Factor -6*z**c + 3/2*z + 3/2 - 27/2*z**2 + 33/2*z**3.
-3*(z - 1)**3*(4*z + 1)/2
Factor 2/3*p**3 + 0 + 2*p**2 + 4/3*p.
2*p*(p + 1)*(p + 2)/3
Suppose 2*f - 2*u = -0*u + 6, 0 = 4*u + 12. Let t be (-8)/(-6)*(4 + -1). Factor 0*q - 1/2*q**2 + f - 1/2*q**t + q**3.
-q**2*(q - 1)**2/2
Let v(m) be the second derivative of -m**7/105 + m**6/25 - 3*m**5/50 + m**4/30 - 13*m. Factor v(s).
-2*s**2*(s - 1)**3/5
Factor 2/11*g**2 + 2/11 + 4/11*g.
2*(g + 1)**2/11
Let t(u) be the third derivative of 2*u**7/105 + 2*u**6/15 + 2*u**5/15 - 2*u**4/3 - 2*u**3 + 16*u**2. Let t(l) = 0. Calculate l.
-3, -1, 1
Factor 24 - i + 5*i**2 - 9*i - 24.
5*i*(i - 2)
Let c(r) be the first derivative of -4*r**5/5 + 3*r**4 - 4*r**3 + 2*r**2 - 7. Factor c(l).
-4*l*(l - 1)**3
Let y(f) = f**2 - 2*f - 3. Let g = -12 - -16. Let b(n) = n**2 - 2*n - 2. Let i(v) = g*b(v) - 3*y(v). Determine m, given that i(m) = 0.
1
Suppose -4*f = f - 105. Factor -f*c**4 + 0*c**2 + c**3 + 5*c**3 + 0*c**2.
-3*c**3*(7*c - 2)
Let z(k) be the third derivative of k**5/20 - k**4/4 + k**3/2 - 2*k**2. Find s such that z(s) = 0.
1
Let z(p) be the first derivative of -2*p**3/33 - 4*p**2/11 - 6*p/11 - 18. Factor z(l).
-2*(l + 1)*(l + 3)/11
Determine o, given that 0 - 2/11*o**2 - 2/11*o = 0.
-1, 0
Solve 6 - 3/2*x**3 + 3/2*x**5 + 9/2*x**4 - 21/2*x**2 + 0*x = 0 for x.
-2, -1, 1
Let s be 234/63 + (-4)/(-14). Let h be ((-8)/48)/((-1)/s). Find x such that -h*x**2 - 4/3*x + 0 = 0.
-2, 0
Let s(k) = -k + 1. Let x be s(-2). Let h(v) be the third derivative of 1/9*v**4 + 0 - 2*v**2 + 1/90*v**5 + 0*v + 4/9*v**x. Factor h(j).
2*(j + 2)**2/3
Suppose -7*n + 4 = -17. Let f(h) be the second derivative of 0 - 1/4*h**n + 0*h**2 + 3*h - 1/8*h**4. Suppose f(q) = 0. Calculate q.
-1, 0
Let g(r) = -r**3 + 4*r**2 + 13*r + 6. Let y be g(6). Suppose 3*w + 0 = y. Let 5/3*z**3 - 4/3*z**5 - z**w - 1/3*z + 0 + z**2 = 0. What is z?
-1, 0, 1/4, 1
Let h be (2 + (-64)/35)/(27/45). Factor -h*u - 2/7*u**2 + 0.
-2*u*(u + 1)/7
Let c(g) be the third derivative of g**5/150 - 7*g**4/120 + g**3/10 - 2*g**2. Factor c(h).
(h - 3)*(2*h - 1)/5
Let w(x) = -100*x**2 - 114*x**2 - 17*x**2 - 20 + 81*x - 1. Let h(q) = -23*q**2 + 8*q - 2. Let t(f) = -21*h(f) + 2*w(f). Solve t(y) = 0 for y.
0, 2/7
Let j(m) be the first derivative of 1/3*m**2 - 1/6*m**4 - 1 + 0*m**3 + 0*m. Determine b, given that j(b) = 0.
-1, 0, 1
Let p(z) be the second derivative of -z**8/13440 - z**4/2 - 4*z. Let q(i) be the third derivative of p(i). Let q(h) = 0. What is h?
0
Let z be 35/20 - 3 - -2. Let q(y) be the first derivative of -z*y**4 + 0*y + 0*y**3 - 4 + 3/2*y**2. Factor q(t).
-3*t*(t - 1)*(t + 1)
Let f(s) be the second derivative of s**5/60 + s**4/24 - 2*s**2 - 10*s. Let g(t) be the first derivative of f(t). Determine b so that g(b) = 0.
-1, 0
Let k(y) be the second derivative of 5*y**7/14 - 6*y**6/5 + | {
"pile_set_name": "DM Mathematics"
} |
and 2*s**3 + s**2 - s**2 + (s - s + 2*s**2)*(105*s - 54*s + 31*s) + 31 + 20*s**3 - 31.
186*s**3
Expand (-h + 10*h**2 - 2 - 12*h**2 + 4)*((4 - 2 - 3)*(-5*h - 7*h + 6*h) - 1 + 2*h + h + 0*h).
-18*h**3 - 7*h**2 + 19*h - 2
Expand (-1366 + 563*c**2 + 1366)*((-2 + 2 + 2)*(4 - 2 + 0) + 0 + 2 - 3 + 3 + 0 - 4 - 2 + 2 + 2).
2252*c**2
Expand (260*r + 10*r - 1434*r)*(-6*r + 2*r + 3*r).
1164*r**2
Expand (-32*h**2 + 8*h**2 + 8*h**2)*(55 - 24 - 4164*h - 28 - 3).
66624*h**3
Expand (12 - 7 + 1)*(5 + 5 - 24)*(-1 + s - 1 + s).
-168*s + 168
Expand r**3 + 12*r**3 - 4*r**3 + (23 + 8*r**2 - 23)*(-2 + 20*r - 12*r - 6*r).
25*r**3 - 16*r**2
Expand 6*w**4 + 404*w - 404*w + (-w + 30 - 30)*(-5*w**3 + 7*w**3 + 12*w**3).
-8*w**4
Expand (1 + 5 + 1)*(-2*u**3 - u**2 + u**2) - 2*u**3 - 2*u**3 + 2*u**3 + (1 - 1 + 1)*(5*u**3 + 6*u**3 - 2*u**3) + 4*u**3 + 16*u - 16*u.
-3*u**3
Expand (-2*t - 3*t + 0*t)*(-8 + 17*t**2 - 29*t - 18*t**2 + 26*t) + (1 - 1 - t**2)*(-5*t - 2*t + 4*t) - t**3 + 6*t**3 + 0*t**3.
13*t**3 + 15*t**2 + 40*t
Expand (1044*u**3 + 970*u**3 - 2019*u**3 + 35*u**2)*(-3*u + 3*u + 3*u) - 3*u**4 + 4*u**4 + 0*u**4.
-14*u**4 + 105*u**3
Expand 109*i**2 + 5470 - 5470 + (2*i**2 + 0*i**2 - 3*i**2)*(2 - 2 + 3) + i**2 - 7 + 7.
107*i**2
Expand (-3 - 2*m**3 + 3)*((3 + 1 - 2)*(3*m + m - 2*m) + (3 - 2*m - 3)*(2 - 5 + 1) + 4 - 4 + 2*m)*(1 - 3*m - 1 + (-1 + 3 + 0)*(7*m - 29*m + 6*m) + 1 - m - 1).
720*m**5
Expand 136*s + 2*s + 33*s + (2*s + 0*s - s)*(0 + 4 - 3) - 8*s + 19*s + 9*s.
192*s
Expand (16 - 9 - 2)*(-278 + 767 + 776)*(3*h - 3*h + 2*h).
12650*h
Expand 2661*z**4 - 1863*z**3 + 2662*z**4 - 5325*z**4 + (2 + 1 - 5)*(1 - 1 - 2*z**4).
2*z**4 - 1863*z**3
Expand (18 - 3 + 1)*(-451*o + 712*o + 540*o).
12816*o
Expand (-76 + 186 - 83)*(2 + 2 - 3)*(-126*s**2 + 126*s**2 + 5*s**5).
135*s**5
Expand (0 + 1 + 0)*(-23*l**2 + 32*l**2 + 8*l**2)*(7 + 2 + 4).
221*l**2
Expand (3 - 299*b + 288*b - 2)*(-23*b + 21*b - 12*b).
154*b**2 - 14*b
Expand (-2*a + 2*a + 3*a**2)*(-a + a - 5*a**2) + 0*a**4 - a**4 - 2*a**4 + (60 - 69*a + a**2 - 60)*(5 - 2 - 2)*(3*a - a**2 - 3*a).
-19*a**4 + 69*a**3
Expand (11 + 3 + 6)*(4200 - 4200 + 145*z**2).
2900*z**2
Expand ((1 + 2 - 1)*(f**3 - 3*f**3 + 6*f**3) + 420*f**3 - 200*f**3 - 161*f**3)*(-8*f**2 + 22 - 22).
-536*f**5
Expand (5 + b**2 - 5)*(96 - 179 - 230) + b**2 - 6*b**2 + 3*b**2.
-315*b**2
Expand (27*m + 15*m - 35*m)*(1 - 6 + 4)*(2 + 0 - 4)*(4*m**3 - 3*m**3 + m**3)*(0*m - 4*m + 5*m).
28*m**5
Expand (-j - j + 0 + 2)*((9 - 1 + 0)*(5 - 1 - 3) - 4 + 9 + 0 + 1 + 3 - 1).
-32*j + 32
Expand (-31 + 37 - 18)*(5 - 3*o**2 - 5 - 9*o**2 + 0*o**2 + 2*o**2 + (-3 + 3 + 2*o)*(-1 - 2*o + 1) + 2*o**2 + o**2 - o**2).
144*o**2
Expand -1874*h**2 + 1876*h**2 - 7*h**4 - 65*h**4 + (-2*h**3 - h**3 + 2*h**3)*(2*h + 5*h - 3*h).
-76*h**4 + 2*h**2
Expand (-2*t**2 + 2*t**2 - 12*t**4)*(2*t - 2*t - t) + 0*t**5 + t**5 - 2*t**5 + (3*t - 3*t + 4*t**3)*(-9*t - 8*t**2 + 9*t).
-21*t**5
Expand (-1 + 990*l + 932*l - 2820*l + 1062*l)*(-4 + 3 + 3).
328*l - 2
Expand (-229 - 309 + 200)*((4*f - 4*f - 2*f)*(-f - 1 + 1) + 2*f - f**2 - 2*f - 1 + 2*f**2 + 0 - 5*f**2).
676*f**2 + 338
Expand m - 2*m - 6*m + (-3 - 3 + 2)*(-2*m + m + 3*m) - 2*m + 2*m + 2*m - 2 + 2 - 3*m + (4*m + 0*m - 3*m)*(-3 + 3 + 2).
-14*m
Expand (3 + 10 - 4)*(25 - 25 - 7*z**3 + (0*z**2 + 4*z**2 - 3*z**2)*(-z + 5*z - 2*z) - z**3 - z**3 - 9*z**3).
-144*z**3
Expand (y**3 - y + y)*(-48*y - 3936 + 25*y - 1036 + 2*y**2 + 23*y).
2*y**5 - 4972*y**3
Expand -2*b - 12078*b**2 + 611*b**3 + 12078*b**2 + (0 + 0 + 2*b)*(2*b**2 - 4 + 4).
615*b**3 - 2*b
Expand (-56*d**3 + 25*d**3 - 41*d**3)*(-2 - 4*d**2 - 293*d + 1 + 308*d).
288*d**5 - 1080*d**4 + 72*d**3
Expand (-2*c - 272*c**2 + 133*c**2 + 18 + 136*c**2)*(3 - 1 - 1)*(-4*c + 4*c - 4*c)*(-3 + 3 + 7).
84*c**3 + 56*c**2 - 504*c
Expand 684*x**3 + 9*x**4 - 684*x**3 + (5*x**2 + 3*x**2 - 4*x**2)*(2*x**2 + 3 - 3) + 9*x**4 + 27*x**2 - 27*x**2.
26*x**4
Expand (3 - 3 - 2*b**2)*((0 - b**2 + 0)*(-3*b + 6*b + 0*b) + 6044*b - 161*b**3 - 6044*b).
328*b**5
Expand (1122 - 1122 + 539*v)*(0 - 4 + 2).
-1078*v
Expand ((g + 5*g - 3*g)*(-5*g - 6 + 6) - 6 - 2*g**2 + 3 + 1)*(16 - 16 + 11*g**3).
-187*g**5 - 22*g**3
Expand (-n + n - n**2)*(-2 - 1604*n + 809*n + 2460*n + 4696*n + 1355*n).
-7716*n**3 + 2*n**2
Expand (3 - 2*f**4 - 3 + f**4 - f + f + 4*f**4 + f**4 - f**4 - 3 + 9*f**4 + 3 + (f - f + 2*f)*(-f**3 + 2*f**3 - 3*f**3))*(-f - 2*f + 4*f).
8*f**5
Expand (7 - 7 - 2*p**3)*((-5 + 6 + 2)*(-6*p - 14*p - 4*p) + 0*p + 2*p - 3*p).
146*p**4
Expand -f**4 + f**4 - f**5 + (0*f - f + 0*f)*(2*f**4 - 2*f**4 + 6*f**4) + (-127*f**3 + 299*f**3 - 134*f**3)*(-2*f**2 - 5*f**2 + 3*f**2) - f + f - f**5.
-160*f**5
Expand (14*r**4 - 3*r**4 + 5*r**4)*(-5*r + 40*r + 26*r)*(6 - 3 - 4).
-976*r**5
Expand (0 - 4 + 6)*(2 + 1 - 5)*(-3*z + 8*z - z)*(-36 - 69 - 39).
2304*z
Expand (7*h**2 - 12 - 48*h**2 + 44*h**2)*(-5*h**2 + 5*h**2 + 4*h**2).
12*h**4 - 48*h**2
Expand (76 + 3*j - 80 + j)*(4388*j**2 - 4388*j**2 - 107*j**3).
-428*j**4 + 428*j**3
Expand (0 + 1 - 2)*(-2*b**4 - 2*b**4 + 3*b**4) + 12169*b - 12169*b + 1196*b**4.
1197*b**4
Expand (-a - a - a)*((4*a - 2*a + 0*a)*(-3 + 6 - 2) + 0 + 0 + a - 2 + a + 2 + (4 - 1 - 1)*(-133 + 25*a + 133)).
-162*a**2
Expand (4 + 2 - 4)*(-1328*j + 2973*j - 1462*j) + 2*j + 2*j - 2*j.
368*j
Expand -203*q**3 - 210*q**3 + 570*q**3 + (-2*q**2 + 1 - 1)*(-3 + q + 3) - 3*q**3 + q**3 + 0*q**3.
153*q**3
Expand (-k + 5829 - 5829)*(-26*k**4 + 35 - 16 - 16).
26*k**5 - 3*k
Expand (-m**2 - m**2 + 6*m**2)*(-3*m + 5*m - m) + (-1 + 1 - 2*m)*(0*m**2 - 2*m**2 + m**2) - 12*m**3 + 4*m**3 - 3*m**2 - 2*m + 9*m**3.
7*m**3 - 3*m**2 - 2*m
Expand (-d**3 - d + d)*(-4 - 1 - 4) + (-3*d**3 + 4*d**3 + 0*d**3)*(-118 - 254 + 54).
-309*d**3
Expand (552*q + 446*q - 2 - 67*q)*(10 + 24 - 12).
20482*q - 44
Expand -3*p + 2*p**2 + 3*p + (-2 + 3 - 6)*(-3*p**2 + 10*p**2 + 3*p**2) - 649*p - 6*p**2 - p**2 + 5 + 648*p.
-55*p**2 - p + 5
Expand -148*v**3 + 11033 - 11033 + (-1 + 3 + 0)*(2*v**3 + 3*v - 3*v) + 0*v**2 + 0*v**3 + 4*v**2 - v**3 + v**3 - 5*v**3 + 12*v**3.
-137*v**3 + 4*v**2
Expand 82*h - h**2 + 3*h**2 + 1 - 97*h + (-3 - 2 + 2)*(5*h - 3*h**2 - 5*h) - 2*h**2 + 0*h + 0*h + 2*h**2 - 4*h**2 - h**2.
6*h**2 - 15*h + 1
Expand -48*h**4 - 9699 + 9699 + (h**3 + 4*h**3 - 2*h**3)*(-9 + 9 - 8*h).
-72*h**4
Expand (1422*k + 2 - 64*k**2 - 1422*k)*(-2*k + 2 - 2)*(7*k**2 - 3*k**2 + 6*k**2).
1280*k**5 - 40*k**3
Expand (-3*m**4 + 2*m**4 + 2*m**4)*(-57473*m + 14613 + 114942*m - 57470*m).
-m**5 + 14613*m**4
Expand (150*v + 438*v + 1083*v + 404*v)*(-3 + 3*v + 3).
6225*v**2
Expand (12 - 3 + 28)*(-3 + 23 + 31)*(-4*v**3 + 2*v**4 + 4*v**3).
3774*v**4
Expand (-1 + 5 - 2)*(4 + 24*w - 4) - 17*w - 2 + 1 + 14*w + (-2 - 3 + 4)*(6*w - 4*w - w) - w - w + 4*w.
46*w - 1
Expand (5*m**2 - 2*m**2 - m**2)*(4*m**2 - 3*m**2 + 0*m**2) + m**4 - m**4 + 3*m**4 + (-10 - 6*m + 10)*(375*m**3 - 74*m**3 + 99*m**3).
-2395*m**4
Expand (823 + 826 - 2432 - 80251*m + 783)*(-4*m**2 + m**3 + 4*m**2).
-80251*m**4
Expand (-2 + 2 - 2)*(2*x**3 - 4*x**3 + x**3) + (-48*x**2 + 90*x**2 - 45*x**2)*(3*x + 8*x - 4*x).
-19*x**3
Expand 0 - 2*t**5 + 0 + (-31*t**2 + 31*t**2 - 6*t**4)*(t + 3 - 3) - 21*t**2 - 10*t**5 + 21*t**2.
-18*t**5
Expand (-4*t + 3*t + 10*t)*(-31*t + 6*t + 66*t)*(17*t**2 - 8*t**2 + 2*t**2).
4059*t**4
Expand (-2*z + 3*z + z)*(-z + 18*z + 17*z)*(232*z + 228*z + 23*z - 129*z).
24072*z**3
Expand (0*n**2 + 0*n**2 - n**2)*(466*n**3 + 153*n**3 + 2791*n**3 + (0*n + n - 2*n)*(2 + 2*n**2 - 2)).
-3408*n**5
Expand (-5*z - 2*z**2 + 5*z)*(12 + 9 - 4) - 24*z**2 - 188*z**2 - 3*z**2.
-249*z**2
Expand (y - 2 + 2)*(-60127*y + 120640*y - 56787*y).
3726*y**2
Expand 15099*k - 2140*k**2 - 15099*k + 4*k**2 - 5*k**2 + 0*k**2 - k + k**2 + k + (-2*k + 4*k - 3*k)*(2*k - 5*k + k) + (-7*k + 4*k + 0*k)*(0*k - 5*k + 0*k).
-2123*k**2
Expand (-2*j - 2*j + 2*j)*((-2 + 2 + 2)*(1 + 0 - 2 + (-10 + 5 - 10)*(-4 + 0 + 3)) + (-1 + 1 - 2)*(-14 - 2 - 3)).
-132*j
Expand (57*s**2 + 73*s**2 - 102*s**2)*(2*s**2 + 2*s**2 - 2*s**2) + 4 - 4 + 3*s**4 - 57*s**2 - 19*s**4 + 57*s**2.
40*s**4
Expand (-72*w + 239*w + 891*w**2 - 88*w - 78*w)*(-2*w + w - w).
-1782*w**3 - 2*w**2
Expand (0*o + o - 3*o)*(4 + 1 + 0 - 4 + 3 + 3 - 4 + 2 + 0 + (1 + 4 - 3)*(1 - 1 - 1) - 1 - 1 + 0)*(-3 + 2 - 2)*(-2 + 2*o + 2)*(-81*o - 3526 + 3526).
-972*o**3
Expand 5*s**3 + 7*s - 7*s + (2*s**3 - 2 + 2)*(-1 - 4 + 3) + (s | {
"pile_set_name": "DM Mathematics"
} |
5 + z**5 + z**4/3 - 16*z**3/3 + 8*z**2 - 6*z. Factor g(w).
-4*(w - 1)**3*(w + 2)**2
Suppose 18 - 48 = -5*m. Let n(i) be the first derivative of -24/35*i**5 - 9/14*i**4 - 5/21*i**m + 0*i**2 + 0*i + 1 - 4/21*i**3. Factor n(b).
-2*b**2*(b + 1)**2*(5*b + 2)/7
Let i be (-9)/(-3) + (-7)/7. Suppose -1/4*a**i - 1/2*a + 0 = 0. What is a?
-2, 0
Let a = 0 - 0. Suppose a*f = -4*f. Suppose 0*l**2 - 1/4*l**3 + f + 0*l = 0. Calculate l.
0
Let z(w) be the first derivative of -w**6/180 - w**5/36 - w**4/18 + 4*w**3/3 - 6. Let f(i) be the third derivative of z(i). Determine j so that f(j) = 0.
-1, -2/3
Let z(o) be the first derivative of -o**5/20 - o**4/8 + o**3/3 + o**2/4 - 3*o/4 - 17. What is i in z(i) = 0?
-3, -1, 1
Let k(l) = -l**2 - 7*l - 7. Let q be k(-5). Let -20*x + 20*x + 588*x**q + 16*x - 686*x**4 - 168*x**2 = 0. What is x?
0, 2/7
Let b(i) = -15*i**3 + 15*i**2 + 5*i + 5. Let t(n) = n**3 - n**2 - 1. Let y(d) = b(d) + 10*t(d). Find f such that y(f) = 0.
-1, 1
Factor 1/5*n**2 + 1/5*n + 0.
n*(n + 1)/5
Let j = 10 - 6. Suppose 7*p**4 - 6*p**2 - 6*p - 6*p**2 + 3*p**2 - j*p**4 = 0. Calculate p.
-1, 0, 2
Let f = 3/191 + 743/1337. Determine w so that 0 - 2/7*w - f*w**2 = 0.
-1/2, 0
Let v(r) = -10*r**2 - 16*r - 8. Let m(l) be the first derivative of -l**3/3 - l**2/2 - 1. Let h(b) = -8*m(b) + v(b). Factor h(f).
-2*(f + 2)**2
Factor 16*x + 4*x**3 + 15*x**4 - x**3 - 36*x**2 - 4*x + 6*x**3.
3*x*(x - 1)*(x + 2)*(5*x - 2)
Let h be -5*10/(-75) + (-1)/2. Let f(u) be the second derivative of -1/60*u**5 + 1/18*u**3 - h*u**2 + 1/36*u**4 + 0 - 3*u. Factor f(w).
-(w - 1)**2*(w + 1)/3
Let b be (2/(-4))/((-3)/12). Let p(a) be the third derivative of 0*a**4 - 1/60*a**6 + 0*a**3 + 0 + 3*a**b - 1/30*a**5 + 0*a. Solve p(w) = 0 for w.
-1, 0
Let n = 47/9 - 275/63. Let y be 6*2*6/126. Factor -2/7*k**2 + y*k**5 + 0*k**3 + 0*k + n*k**4 + 0.
2*k**2*(k + 1)**2*(2*k - 1)/7
Let d = 43 + -41. Let n(k) = -k + 5. Let v be n(3). Determine x so that 5*x**3 + d*x**5 + 2*x**v - 3*x**3 - 2*x**4 - 4*x**3 = 0.
-1, 0, 1
Let s(b) be the first derivative of b**5 - 5*b**4/2 + 5*b**3/3 - 21. Suppose s(y) = 0. Calculate y.
0, 1
Let i = -26 + 16. Let v be i*-3*6/45. Factor v*r**2 - 5/4*r**3 - 25/4*r**4 - r + 0.
-r*(r + 1)*(5*r - 2)**2/4
Let o(r) = -11*r**2 - 17*r - 11. Let f(p) = -5*p**2 - 8*p - 5. Let c(g) = 13*f(g) - 6*o(g). Solve c(a) = 0.
1
Let i = -83/6 - -427/30. Let f = 8 + -38/5. Factor 0 + 0*t**2 + 4/5*t**3 - i*t + 0*t**4 - f*t**5.
-2*t*(t - 1)**2*(t + 1)**2/5
Let p(v) = v**2 + v. Let y(c) = -7*c**2 - 12*c - 9. Let f(t) = -6*p(t) - y(t). Factor f(u).
(u + 3)**2
Let c be 1*(-17)/6 - (-3 - 0). Let m(q) be the second derivative of 0 - 1/10*q**5 + 1/2*q**2 + 1/42*q**7 - 3*q + 1/30*q**6 + 1/6*q**3 - c*q**4. Factor m(y).
(y - 1)**2*(y + 1)**3
Let w(p) be the third derivative of -3/280*p**7 - 1/192*p**8 + 0*p + 0 + 0*p**5 + 0*p**3 - 1/240*p**6 + 0*p**4 - 3*p**2. Factor w(v).
-v**3*(v + 1)*(7*v + 2)/4
Let y(u) = 5*u**2 + 5*u - 10. Let f(g) = -g + 1. Let b(a) = -25*f(a) - y(a). Solve b(h) = 0 for h.
1, 3
Suppose -2*q - 3*q = -10. Let b(x) be the first derivative of -5/3*x**3 + q + x**4 + 0*x + 1/2*x**2. Suppose b(r) = 0. What is r?
0, 1/4, 1
Suppose -4*a - 4 = -0*a. Let k be a/(-3) + 1/(-3). Determine q, given that 2*q**2 - 3*q**2 + k*q**2 - 2*q + 2*q**2 + 1 = 0.
1
Let i(y) = -y**3 - y**2 - 3*y - 1. Let t be i(-1). Let x(z) be the second derivative of 2*z - 1/6*z**t - 1/36*z**4 + 1/9*z**3 + 0. Factor x(k).
-(k - 1)**2/3
Let k(a) be the first derivative of 5*a**6/6 + 3*a**5 + 5*a**4/2 + 12. Find j such that k(j) = 0.
-2, -1, 0
What is a in 0 - 1/5*a**2 + 6/5*a = 0?
0, 6
Let c = 107 + -104. Factor -6/7*w**c + 2/7*w + 4/7 - 8/7*w**2.
-2*(w + 1)**2*(3*w - 2)/7
Let a(l) = -l**2 + 13*l + 27. Let f be a(15). Let q be 135/(-30)*1/f. Factor -q*w**2 - 3/2*w + 0.
-3*w*(w + 1)/2
Determine w, given that -6/5*w**3 + 3/5*w**4 + 0*w + 0*w**2 + 0 + 3/5*w**5 = 0.
-2, 0, 1
Let a(y) be the second derivative of y**8/840 - y**6/180 - 7*y**3/6 - 5*y. Let c(h) be the second derivative of a(h). Factor c(m).
2*m**2*(m - 1)*(m + 1)
Let o be (-3)/(-10) - (3 + 0)/(-15). Find q, given that 0*q + o - 1/2*q**2 = 0.
-1, 1
Let x(p) be the second derivative of p**9/25200 - p**8/11200 - p**7/2100 - p**4/2 - 5*p. Let c(a) be the third derivative of x(a). Factor c(l).
3*l**2*(l - 2)*(l + 1)/5
Suppose 11 - 4*z - 16 + 11 - 2*z**2 = 0. Calculate z.
-3, 1
Let u(g) be the first derivative of -g**3/15 - 2*g**2/5 - 3*g/5 + 7. Let u(l) = 0. Calculate l.
-3, -1
Let q(x) = -x - 1. Let l(k) = -3*k**3 + 18*k**2 - 41*k + 19. Let u(d) = l(d) - 5*q(d). What is z in u(z) = 0?
2
Let k(s) be the second derivative of s**8/6720 - s**7/1680 + s**6/1440 - s**3/3 + 4*s. Let f(r) be the second derivative of k(r). What is g in f(g) = 0?
0, 1
Let f(m) be the second derivative of m**6/30 + m**5/20 - m**4/6 + 6*m. Find y, given that f(y) = 0.
-2, 0, 1
Let z(m) be the first derivative of 3*m**3/4 - 51*m**2/8 - 9*m/2 - 42. Factor z(d).
3*(d - 6)*(3*d + 1)/4
Let f(a) be the second derivative of 2*a**7/63 - 8*a**6/45 + a**5/15 + 14*a**4/9 - 40*a**3/9 + 16*a**2/3 - 25*a. Solve f(i) = 0 for i.
-2, 1, 2
Let g(c) = -c**3 + 14*c**2 + 15*c + 3. Let t be g(15). Factor -y**4 + 0*y**2 + 0*y**2 + 0*y**2 - 2*y + t*y**2.
-y*(y - 1)**2*(y + 2)
Let h(l) be the first derivative of -3*l**5 + 5*l**4/2 + 21. Find r such that h(r) = 0.
0, 2/3
Let c(i) be the second derivative of -i**8/560 - i**7/140 + i**5/20 + i**4/8 - i**3/2 - i. Let b(g) be the second derivative of c(g). What is m in b(m) = 0?
-1, 1
Let p(f) be the first derivative of -f**4/12 + f**3/12 - 3*f - 3. Let j(g) be the first derivative of p(g). Factor j(c).
-c*(2*c - 1)/2
Factor -v + 17*v**3 - 2*v**2 - v - v**2 - 18*v**3.
-v*(v + 1)*(v + 2)
Let b(x) be the third derivative of -x**7/280 - x**3/2 - 2*x**2. Let y(j) be the first derivative of b(j). Factor y(i).
-3*i**3
Suppose 8*n - 6*n + 40 = 0. Let l = n + 23. Determine o, given that 0*o**2 + 0*o**4 + 0*o + 1/3*o**l - 1/3*o**5 + 0 = 0.
-1, 0, 1
Let s(z) be the first derivative of -z**5/30 - 5*z**4/84 + 2*z**3/21 + z**2/2 - 2. Let w(h) be the second derivative of s(h). Factor w(c).
-2*(c + 1)*(7*c - 2)/7
Let h(v) be the first derivative of v**6/60 - v**5/48 - v**4/24 - v**3/3 + 1. Let c(j) be the third derivative of h(j). Solve c(k) = 0.
-1/4, 2/3
Let c(w) = -3*w**3 - 18*w**2 + 6*w - 6. Let l(r) = -8*r**3 - 53*r**2 + 17*r - 17. Let x(k) = -17*c(k) + 6*l(k). Find n, given that x(n) = 0.
0, 4
Let m(r) be the third derivative of -r**5/90 + r**4/12 + 4*r**3/9 + r**2. Factor m(l).
-2*(l - 4)*(l + 1)/3
Let m(o) be the first derivative of -2*o**5/25 - o**4/10 - 30. Determine i so that m(i) = 0.
-1, 0
Let a(w) be the first derivative of 0*w**3 + 1/4*w**4 + 0*w**2 + 2 + 1/5*w**5 + 0*w. Factor a(i).
i**3*(i + 1)
Let g(o) = -8*o**5 + 12*o**4 - 4*o**3 - 7*o**2 + 6*o + 1. Let y = -20 + 26. Let t(u) = u**5 - u**2 + u - 1. Let p(a) = y*t(a) + 2*g(a). Solve p(c) = 0.
-1, 2/5, 1
Let q(w) = -w**3 + w**2 + 8*w - 6. Let j(k) = -4*k**3 + 2*k**2 + 23*k - 17. Let h(g) = -6*j(g) + 17*q(g). Factor h(t).
t*(t + 1)*(7*t - 2)
Let f(j) = 18*j**3 + 12*j**2 - 2*j - 9. Let x(q) = -q**3 - q**2 + 1. Let h(l) = -4*f(l) - 36*x(l). Factor h(v).
-4*v*(3*v - 1)*(3*v + 2)
Let s = 2 + 4. Suppose -g + 3*a + s = 0, a + 0 + 2 = 4*g. Factor 0*i**2 + 1/3*i**3 + g + 1/3*i**5 + 2/3*i**4 + 0*i.
i**3*(i + 1)**2/3
Let y(s) be the first derivative of s**2 + 1 - 1/84*s**4 + 0*s**3 + 0*s - 1/420*s**6 + 1/105*s**5. Let m(o) be the second derivative of y(o). Factor m(q).
-2*q*(q - 1)**2/7
Let h(m) be the third derivative of -m**8/10080 + m**7/2520 - m**5/20 - 4*m**2. Let g(z) be the third derivative of h(z). Factor g(v).
-2*v*(v - 1)
Factor 4/5*l**2 + 4/5 - 2/15*l**3 - 22/15*l.
-2*(l - 3)*(l - 2)*(l - 1)/15
Let n = 158/3 + -52. Determine v, given that 2/3*v**4 + 2/9*v**5 + 0 + 2/9*v**2 + n*v**3 + 0*v = 0.
-1, 0
Let i(u) = 28*u**4 - 68*u**3 + 36*u**2. Let x(o) = 85*o**4 - 204*o**3 + 109*o**2 - o. Let w(k) = 11*i(k) - 4*x(k). Factor w(t).
-4*t*(t - 1)**2*(8*t - 1)
Let f = 40 - 21. Let m = f + -17. Find y, given that 4/9*y**3 - 2/3*y**m + 2/9 + 0*y = 0.
-1/2, 1
Let n be (-2)/(3/((-9)/2)). Let w(u) be the first derivative of 1/2*u**n + 0*u**2 - 1/2*u - 3 + 1/4*u**4. Determine t so that w(t) = 0.
-1, 1/2
Let l(y) be the second derivative | {
"pile_set_name": "DM Mathematics"
} |
95 divide 1112484?
False
Is 733858 a multiple of 6?
False
Does 46 divide 15171956?
False
Is 7 a factor of 40285?
True
Is 2232355 a multiple of 8?
False
Does 180 divide 259560?
True
Is 96 a factor of 261504?
True
Does 19 divide 1483252?
False
Does 53 divide 101442?
True
Is 978112 a multiple of 496?
True
Is 4 a factor of 414420?
True
Is 17 a factor of 137158?
False
Does 188 divide 11857536?
True
Is 63 a factor of 2041403?
False
Is 9 a factor of 2825271?
True
Is 48636 a multiple of 28?
True
Does 16 divide 248496?
True
Is 60 a factor of 97716?
False
Does 48 divide 286752?
True
Is 140928 a multiple of 367?
True
Is 7473367 a multiple of 88?
False
Is 36 a factor of 24483?
False
Does 425 divide 5485050?
True
Is 17872 a multiple of 8?
True
Is 2674471 a multiple of 41?
True
Does 8 divide 3326?
False
Does 30 divide 26086?
False
Does 14 divide 4825632?
True
Is 13 a factor of 1030250?
True
Is 181 a factor of 541371?
True
Is 892 a factor of 12981789?
False
Is 719 a factor of 5709560?
False
Is 1520638 a multiple of 47?
True
Is 4 a factor of 16691?
False
Is 346896 a multiple of 11?
True
Is 42 a factor of 98561?
False
Is 4112 a multiple of 4?
True
Is 258785 a multiple of 118?
False
Is 23 a factor of 320413?
True
Is 4358598 a multiple of 18?
False
Is 42 a factor of 12474?
True
Is 48616 a multiple of 2?
True
Is 20 a factor of 44275?
False
Is 38 a factor of 2817420?
False
Is 707 a factor of 6858607?
True
Is 141573 a multiple of 15?
False
Does 204 divide 1516740?
True
Does 419 divide 642496?
False
Does 120 divide 302785?
False
Is 19 a factor of 1469471?
False
Is 205 a factor of 6771560?
True
Does 14 divide 518345?
False
Is 14124686 a multiple of 2232?
False
Is 665 a factor of 3629316?
False
Is 12224128 a multiple of 128?
True
Is 3 a factor of 609332?
False
Is 528 a factor of 134112?
True
Does 23 divide 251298?
True
Is 283 a factor of 1338590?
True
Is 2759770 a multiple of 230?
True
Is 2 a factor of 28416?
True
Is 9253366 a multiple of 14?
False
Is 10 a factor of 44734?
False
Is 5212 a multiple of 55?
False
Is 1606332 a multiple of 13?
True
Is 3547465 a multiple of 809?
True
Is 26 a factor of 8816522?
True
Is 11 a factor of 874148?
True
Is 41 a factor of 449424?
False
Is 142 a factor of 83780?
True
Is 57 a factor of 1555074?
True
Is 36670 a multiple of 38?
True
Is 98 a factor of 5152?
False
Is 309 a factor of 250908?
True
Does 21 divide 688892?
False
Is 200230 a multiple of 10?
True
Does 5 divide 469678?
False
Is 3603316 a multiple of 31?
True
Is 3206224 a multiple of 8?
True
Is 367 a factor of 1791097?
False
Is 157185 a multiple of 43?
False
Does 127 divide 141859?
True
Is 1732567 a multiple of 54?
False
Is 91 a factor of 219413?
False
Is 64 a factor of 141888?
True
Is 2100002 a multiple of 109?
False
Is 7 a factor of 107971?
False
Is 14 a factor of 97577?
False
Is 85 a factor of 73780?
True
Does 7 divide 72485?
True
Does 1038 divide 5319750?
True
Does 451 divide 873313?
False
Does 19 divide 1202814?
True
Does 11 divide 192038?
True
Is 37982 a multiple of 182?
False
Is 164 a factor of 1908140?
True
Is 22 a factor of 4213530?
False
Is 131 a factor of 138336?
True
Does 22 divide 13310?
True
Is 15331116 a multiple of 22?
False
Is 21067875 a multiple of 439?
False
Is 1046836 a multiple of 98?
True
Is 3511787 a multiple of 79?
True
Does 164 divide 211555?
False
Is 121 a factor of 47432?
True
Is 6759060 a multiple of 1596?
True
Is 892 a factor of 1617373?
False
Does 20 divide 9369152?
False
Is 897183 a multiple of 141?
True
Is 363 a factor of 490413?
True
Is 688017 a multiple of 6?
False
Is 36 a factor of 2033342?
False
Is 1436653 a multiple of 1088?
False
Is 6 a factor of 1073064?
True
Does 161 divide 8027942?
False
Is 316624 a multiple of 2?
True
Does 55 divide 468521?
False
Is 15 a factor of 572854?
False
Is 5 a factor of 552588?
False
Does 48 divide 147203?
False
Does 105 divide 311325?
True
Does 12 divide 14748?
True
Is 192455 a multiple of 305?
True
Does 31 divide 756245?
True
Is 997594 a multiple of 629?
True
Is 29 a factor of 64293?
True
Is 9 a factor of 37962?
True
Is 475 a factor of 771669?
False
Does 839 divide 4888880?
False
Does 12 divide 603564?
True
Does 9 divide 42615?
True
Is 987023 a multiple of 18?
False
Is 69722 a multiple of 142?
True
Is 2574 a multiple of 11?
True
Is 516722 a multiple of 363?
False
Is 11566360 a multiple of 65?
True
Is 41 a factor of 161450?
False
Is 2297911 a multiple of 22?
False
Is 8835840 a multiple of 1920?
True
Is 288 a factor of 925689?
False
Does 10 divide 172763?
False
Does 184 divide 228435?
False
Is 647504 a multiple of 22?
True
Does 295 divide 15635?
True
Is 73 a factor of 42924?
True
Is 2309997 a multiple of 156?
False
Is 51 a factor of 1981911?
True
Does 27 divide 2078157?
False
Is 102 a factor of 3977455?
False
Does 343 divide 6153763?
True
Does 117 divide 71253?
True
Is 117 a factor of 32526?
True
Is 2933750 a multiple of 10?
True
Is 155 a factor of 163441?
False
Is 16 a factor of 83652?
False
Is 2169749 a multiple of 40?
False
Does 34 divide 832422?
True
Does 252 divide 17843112?
True
Is 943750 a multiple of 125?
True
Is 79 a factor of 10801223?
False
Is 34 a factor of 324734?
True
Does 160 divide 100299?
False
Is 529 a factor of 376579?
False
Does 88 divide 3140192?
True
Is 1245205 a multiple of 10?
False
Is 96 a factor of 2841578?
False
Is 115 a factor of 2364068?
False
Is 285800 a multiple of 356?
False
Is 197 a factor of 733647?
False
Is 74 a factor of 726497?
False
Is 999 a factor of 419131?
False
Is 37 a factor of 8048618?
False
Is 42 a factor of 3348?
False
Is 552119 a multiple of 47?
False
Is 24743334 a multiple of 49?
True
Is 79 a factor of 1089567?
False
Does 14 divide 14850534?
False
Is 53 a factor of 222229?
True
Does 75 divide 153199?
False
Is 15059 a multiple of 10?
False
Is 42 a factor of 5166?
True
Is 334324 a multiple of 19?
True
Is 16 a factor of 31301?
False
Is 461729 a multiple of 245?
False
Is 441360 a multiple of 6?
True
Is 282 a factor of 1964976?
True
Does 564 divide 10782984?
False
Is 644 a factor of 17277876?
True
Is 7 a factor of 11888450?
True
Is 5 a factor of 14565?
True
Is 2229367 a multiple of 227?
True
Does 133 divide 115710?
True
Is 224578 a multiple of 8?
False
Is 3730650 a multiple of 1050?
True
Is 10 a factor of 1827998?
False
Is 2664 a multiple of 26?
False
Is 153506 a multiple of 29?
False
Is 45 a factor of 231840?
True
Is 195738 a multiple of 303?
True
Is 1241957 a multiple of 45?
False
Does 128 divide 132992?
True
Is 22 a factor of 668602?
True
Is 320 a factor of 2064640?
True
Does 436 divide 1811203?
False
Is 3047680 a multiple of 8?
True
Is 262515 a multiple of 473?
True
Does 16 divide 65909?
False
Is 129 a factor of 873330?
True
Is 6 a factor of 53583?
False
Is 131572 a multiple of 147?
False
Does 141 divide 26888?
False
Is 108444 a multiple of 2?
True
Is 1797398 a multiple of 120?
False
Is 2 a factor of 2476?
True
Is 119305 even?
False
Is 4 a factor of 37184?
True
Does 46 divide 1630838?
True
Is 1793 a multiple of 12?
False
Is 147140 a multiple of 12?
False
Is 639394 a multiple of 23?
False
Is 131696 a multiple of 8?
True
Is 11 a factor of 78026?
False
Is 175100 a multiple of 103?
True
Does 21 divide 3180892?
False
Is 884296 a multiple of 26?
False
Is 27 a factor of 1038258?
True
Is 11 a factor of 1154219?
True
Is 937391 a multiple of 8?
False
Is 132975 a multiple of 17?
False
Is 504972 a multiple of 4?
True
Is 97 a factor of 5496385?
False
Is 5948359 a multiple of 172?
False
Does 336 divide 366217?
False
Is 952 a factor of 596904?
True
Is 48 a factor of 17911?
False
Is 85668 a multiple of 236?
True
Is 371 a factor of 110558?
True
Is 205 a factor of 406107?
False
Is 582 a factor of 409146?
True
Is 59 a factor of 686317?
False
Is 51 a factor of 54060?
True
Is 2734756 a multiple of 514?
False
Is 10 a factor of 1055850?
True
Does 89 divide 26344?
True
Is 199 a factor of 2720553?
False
Is 1562386 a multiple of 193?
False
Is 456536 a multiple of 298?
True
Is 1558 a factor of 11616448?
True
Is 15287694 a multiple of 1664?
False
Is 303 a factor of 116352?
True
Is 13547 even?
False
Does 860 divide 11445917?
False
Does 12 divide 2213448?
True
Is 183 a factor of 4059849?
False
Is 3013107 a multiple of 537?
True
Is 3578956 a multiple of 41?
False
Is 10 a factor of 558705?
Fals | {
"pile_set_name": "DM Mathematics"
} |
t j = 0.29 + 0.01. Which is the nearest to 1? (a) v (b) j (c) 0.8
c
Suppose 5*r = -2*x + 31, x - 14 = r - 3*r. Suppose -y - 2*y = -39. Let o = x - y. What is the nearest to -0.1 in -2, o, 2/5?
2/5
Let t = 12 + -11. Let u = t - 1.1. Let r be (-4)/14 + (0 - 0). Which is the closest to u? (a) -0.1 (b) r (c) 3
a
Let n = -3 + 3.1. Let k be (4/(-66))/((-2)/(-6)). What is the closest to n in k, -1, 0?
0
Let r = 1.3 + -1. Let j = r + -0.6. Suppose 0 = 5*z - 1 - 4. Which is the nearest to z? (a) j (b) 1 (c) -4
b
Let k = -56.4 + 56. Let h = -8.3 + 8. Let y = 1 - 1. Which is the nearest to y? (a) k (b) -1/2 (c) h
c
Suppose -w - 4*w - 4*q + 21 = 0, -2*q + 13 = 5*w. What is the closest to w in -1, 4, -5/3?
-1
Let k = 8.3 + -1.3. Let b = 12 - k. Let u = -368/119 - -38/17. What is the closest to -0.1 in u, b, -0.3?
-0.3
Let k = -1 + 0.8. Let u be (25/20*-2)/((-2)/4). What is the nearest to 3 in u, k, 5/2?
5/2
Let a = -12.8 + 12. Let k = 0.7 + a. Let h = 2 + -1.9. What is the nearest to k in 5, h, -2?
h
Suppose d + 1 = -0. Suppose 3*p - 12 = -3. Suppose -p*s + 10 = 2*s. What is the nearest to s in d, 0.5, 1?
1
Let s = 3.3 + 0.7. Let r = s - 4. Let m be (-28)/12 + (3 - 1). Which is the closest to r? (a) m (b) 1 (c) 4
a
Let j = 4.95 - -0.05. What is the closest to 2 in j, 1, -4?
1
Suppose 0 = k - 6*k - 15. Let i = -1 - k. Which is the closest to 0? (a) -5 (b) 0.4 (c) i
b
Let c = -0.47 + -0.13. Let k = c + 1. What is the nearest to 0 in 0.1, k, -5?
0.1
Let f = -44.6 - -45. Which is the closest to -4? (a) 2 (b) f (c) -1/2
c
Let y be 28/13 - 1 - 1. Let d = 0.03 - 4.03. Which is the closest to 0? (a) 2 (b) d (c) y
c
Let l = 523/7 + -75. What is the nearest to 2 in -4, 1, l?
1
Let g = 60 + -61. What is the nearest to g in -0.5, 1, 0.2?
-0.5
Let t = -3.4 - 2.6. Let n = -10 - t. Which is the closest to -0.1? (a) 0 (b) -0.5 (c) n
a
Let g = 9587/595 + -552/35. Let k = g + 1/17. Which is the nearest to 3/4? (a) 1/3 (b) k (c) 0
b
Let r = 0 - -4. Let l be 15/(-28) - (-2)/8. Which is the nearest to 1/3? (a) -2/13 (b) l (c) r
a
Let y = 1.17 + -0.97. Let u = -0.2 + 0.1. Let x = u + -0.9. Which is the closest to -1? (a) x (b) 1 (c) y
a
Let j = -284 - -280. Let d = -2/173 - 509/865. Let i(f) = f**3 + 4*f**2 - 6*f - 5. Let u be i(-5). What is the closest to u in 2, d, j?
d
Let q be 12/(-75)*20/(-8). Let z = 0.3 + -0.4. What is the closest to z in q, -5, -1/4?
-1/4
Let b(l) = 4*l - 8. Let y(h) = -5*h + 8. Let z(r) = 4*b(r) + 3*y(r). Let d be z(8). What is the closest to 0 in -5, d, 1?
d
Let v = 1/41 + 38/123. Let r = -32 + 32. Which is the nearest to v? (a) 1 (b) -5 (c) r
c
Let v = 10.5 + -11. Let q = 4 + 0. Suppose 3*z = q*y - 15, -y + 0*y - z = 5. Which is the closest to 0? (a) v (b) -5 (c) y
c
Let m be 1*(24/14 - 2). Let z be (6/(-4))/((-12)/(-16)). Let l = z + 0. Which is the closest to 0.2? (a) m (b) 0.5 (c) l
b
Let s(j) = j**3 - 8*j**2 + 10*j + 16. Let u be s(3). Let t = -0.2 + -0.3. Which is the nearest to u? (a) -4 (b) t (c) -7
b
Let k = 44 - 48. What is the nearest to -0.008 in k, 2, -2/5?
-2/5
Let x = -0.8 - -0.3. Suppose 8*h = 10*h - 12. Let l = 8 - h. Which is the nearest to 2/7? (a) -5 (b) l (c) x
c
Suppose 0 = 5*v - 2*v - 9. What is the closest to 0 in 2, v, -2/17?
-2/17
Suppose i = 1, 3*v = -4*i - i - 40. Let o be 1 - (-1 - 28/v). Let x = -1.5 + 1. Which is the nearest to -0.1? (a) 3/4 (b) o (c) x
b
Suppose -2*t + 7 = -a - 0*t, 3*a - 3*t + 12 = 0. Suppose 0 = 2*p + 24 - 72. Let y be (-3)/p*2 - a. What is the closest to -1 in 2/3, y, -0.2?
-0.2
Let t = 1.142 + -0.062. Let z = t + -1. Let i = z - 3.08. What is the closest to 2 in 4, i, 1/3?
1/3
Let g = 2.4 - 2.5. What is the nearest to g in 4, -5/3, -0.4?
-0.4
Let a = 139/3 + -45. What is the nearest to 1 in 0.2, 1/4, a?
a
Let g = -7 + 8. Let n = 1/43 + -49/258. Let m be ((-3)/(-9))/((-4)/(-12)). What is the closest to g in -4, m, n?
m
Let l(o) = o**3 + 16*o**2 - 17*o - 3. Let g be l(-17). Let i be (-1)/(-2)*(-10)/(-25). Which is the closest to -2? (a) i (b) 4 (c) g
c
Let h = 0.004 - 0.104. Which is the nearest to 0.1? (a) -1 (b) 1 (c) h
c
Let l = -17 + 17.4. What is the closest to 0 in l, -8, -4?
l
Let s = 5.5 - 5.8. What is the closest to 1/3 in -2, s, 0.2?
0.2
Let r = -42 - -42.1. Let w be 20/(-132) - 2/(-6). Let f = -59/646 - 1/38. Which is the nearest to r? (a) f (b) w (c) 2/13
c
Let r = -13.1 + 13.2. What is the nearest to 0 in 0.3, r, 0.2?
r
Let l(b) = b. Let u be l(-5). Let o = -0.52 + -2.58. Let t = o + 3. What is the closest to t in u, 2/11, -1?
2/11
Let s = 0 - -6. Let z = s - 5.97. Let r = -0.97 - z. Which is the nearest to r? (a) 0.1 (b) -0.1 (c) 1
b
Let m = -14 + 8. Let p(n) = -n - 7. Let h be p(m). Let r = 12.8 + -13. What is the nearest to h in r, 0.4, -3?
r
Let v = -95/1037 - -2/61. Which is the nearest to -1? (a) 0.5 (b) 5 (c) v
c
Let j = -0.39 - -0.39. What is the closest to j in -0.3, 5, 3?
-0.3
Let j(o) = -o**2 - 13*o + 1. Let p be j(-13). Which is the closest to 1? (a) -1/3 (b) p (c) -0.2
b
Suppose 0 = -4*h - 609 + 597. Let y be 1 + 0/(-1 + 0). Let d = -0.4 + 0.3. What is the nearest to y in h, -5, d?
d
Let x = -0.14 - -0.1. Let v = x - -3.84. Let w = v + -4. Which is the nearest to w? (a) -4 (b) 1/5 (c) 0.4
b
Let s = -130 + 129. Let r = -0.9 + 1. What is the closest to r in s, 0.1, 0.2?
0.1
Let j = 0.026 - -0.174. What is the closest to j in 1, -5, 5?
1
Let u = -5 - -5. Let d(w) = -w**2 - 7*w - 6. Let z be d(-6). What is the nearest to u in -1/5, 5, z?
z
Let o = -1.3 - -0.4. Let q = -5.9 - o. What is the nearest to 2 in 2, q, 4?
2
Let r = -6 - -4. Let y = -0.61 - 0.09. Let x = -5.7 - y. Which is the nearest to 1? (a) x (b) 2 (c) r
b
Suppose 3*o + 2*b + 2 = 0, 3*b + 26 = 3*o - 2*b. Let t = -0.2 + 0.6. What is the closest to o in 0, 3, t?
3
Let n = -10 + 10. What is the closest to -2/7 in 0.3, -0.1, n?
-0.1
Let u = -24 + 23. What is the nearest to u in 0.4, 2/11, 0.5?
2/11
Let s be (8/(-9))/((-2)/(-3)). Let y = -0.32 - -0.42. What is the nearest to y in -2, s, 0.2?
0.2
Let d = 2 + 3. Let v(x) = x - 8. Let f be -18*3/(-6)*1. Let p be v(f). Which is the closest to p? (a) 0.4 (b) 4 (c) d
a
Suppose -4*g + 5*g + 5*y - 17 = 0, -5*y = -10. Let l be 6 - (g + (-12)/4). Which is the closest to 2? (a) l (b) 0.1 (c) 2/9
a
Let o = 1.3 + 0.7. Let r = -5.3 - -5. Which is the closest to o? (a) 4/3 (b) -1/3 (c) r
a
Let u = 0.72 - -2.18. Let v = 3 - u. Let o = v + 4.9. What is the nearest to 1 in o, -0.2, 3/7?
3/7
Let l = 4 - 7. Let s = 484/65 + -38/5. Which is the closest to 0? (a) s (b) l (c) -2/5
a
Let d = 0.2 - 0.1. Suppose -2*o - v + 2*v - 2 = 0, 0 = o + 2*v + 6. Which is the closest to d? (a) -0.04 (b) o (c) 4
a
Let s = 28 - 28.4. Which is the closest to 0? (a) s (b) -0.5 (c) -1
a
Let z = -7.64 + 0.64. Which is the nearest to 1? (a) 5 (b) z (c) 0
c
Suppose i - 5*b + 7 = 0, -4*i = -3*b - 6 - 0. What is the closest to -2 in i, -5, -5/6?
-5/6
Let z(f) = -f**2 + 4*f + 1. Let y be z(5). Let t = 1/107 + -225/1177. What is the closest to t in 1, 0.4, y?
0.4
Let h = -0.01 + -0.29. Let i be 2/9 + (-75)/216. Let u = i + 21/40. Which is the closest to u? (a) -5 (b) h (c) -1
b
Let j(q) = -q**2 + 3*q + 1. Let n be j(3). Let h be 3/(-10)*36/27. Suppose -8*w + 20 = -3*w. Which is the closest to n? (a) h (b) 1 (c) w
b
Let i = 26 + -181/7. Suppose -27 + 30 = -d. Let u be 2/(-5)*20/(-2). Which is the closest to -0.1? (a) d (b) i (c) u
b
Let m = -3.9 + 3.9. Which is the nearest to m? (a) -6 (b) -1 (c) -3
b
Let q = -209/510 + 1/102. Which is the nearest to 2/5? (a) q (b) -3 (c) -2
a
Let d = -3 + 1. Which is the closest to 0.2? (a) 2 (b) 0.2 (c) d
b
Let z = -2 - -5. Let c be 8/(-6)*z/2. Let i be c/(-18)*(-6)/(-2). What is the nearest to i in 0, 2, -2?
0
Let r(z) = z + 1. Let w be r(1). What is the closest to w in 2, 5, -3?
2
Let u = -6/185 - -653/14430. Let q = u - -43/26. What is the nearest to -1/4 in 1/3, 1, q?
1/3
Let p = 0.01 - 2.01. Which is the closest to 0? (a) p (b) -0.2 (c) -0.1
c
Let i be 18/99 - (-62)/22. Which is the nearest to 1/3? (a) i (b) 2 (c) 0.2
c
Let r = 13 - 8. Suppose 0 = r*f - f - 12. Which is the closest to 1/3? (a) 0.5 (b) -0.3 (c) f
a
Let t be (-4)/14 + (-92)/(-126). Let f | {
"pile_set_name": "DM Mathematics"
} |
3 and r(c)?
330
Let n(q) = 3*q**3 + 5*q**2 + 7*q + 9. Let i be n(7). Let p = -4046/3 + i. Find the common denominator of p and (-134)/(-4)*4/(-54).
27
Suppose -336*d - 32536 = -10*d + 66*d. Suppose l = 2*l - 5. What is the common denominator of l + (-1 - d/(-12)) and -19/72?
72
Suppose -3*y + 3 = -j + 2*y, 0 = -4*j - y + 9. Suppose c + 5*g - 25 = -0*c, -j*c + 50 = -5*g. Let n = c - 14. What is the least common multiple of n and 8?
88
Find the common denominator of 378/(-6804) + 142/(-13320) and 97/24.
4440
Let i be (-1*1 + (-22 - -23))/(-2). Let o(u) = -2*u**2 - 7*u + 9. Calculate the least common multiple of o(i) and 72.
72
Calculate the common denominator of 42/(-70) - ((-8715)/(-550))/(-3) and -73/1108.
12188
Let v be -4 - (-4 + 4 + -2). Suppose 25*r = 15*r + 680. What is the lowest common multiple of r and (-14)/(-4) + 2 + v/(-4)?
204
Let g = -8402 + 10067. What is the smallest common multiple of g and 2035?
18315
Let w = 722 + -713. What is the smallest common multiple of 5*3 + -4 + 1 and w?
36
Suppose 8452 = 102*w + 190. What is the lowest common multiple of 5760 and w?
51840
Let c be (-27857480)/600 + (-1)/2. Let s = -46435 - c. Find the common denominator of -37/9 and s.
90
Suppose 0 = d - 5 - 15. Let z(u) = -3*u**2 + 86*u + 33. Let b be z(28). What is the common denominator of 90/(-36)*b*(-2)/d and 47/20?
20
Calculate the least common multiple of (-1666)/(-357)*93/7 and 206.
6386
Let i(b) = -1. Let t(w) = -w**2 + 6*w + 6. Let a(l) = -3*i(l) + t(l). Let g = -2399 - -2404. What is the lowest common multiple of a(g) and 10?
70
Let d(s) = -32*s - 27. Let b be d(-1). Let f(k) = 59*k - 210. Calculate the smallest common multiple of f(b) and 17.
85
Suppose 21*q = 35*q - 5*q - 252. Let n(t) = -18*t**3 + t**2 + 3*t + 2. Calculate the least common multiple of n(-1) and q.
252
Calculate the common denominator of -67/192 and ((-267)/18 - (-78)/13)*(-1)/11.
2112
Suppose 0 = -5*h + 7*h + 4. Let c(a) be the second derivative of a**3/6 + 9*a**2 - 23*a. Calculate the lowest common multiple of c(h) and 26.
208
Calculate the common denominator of -29/18 and ((-17290)/(-7400) - 6/3)*4/126.
23310
Let f be -33*(-20)/(-18)*-12. Suppose 37*u + f = 32*u. What is the common denominator of -81/10 and (-127)/u + (-9)/(-24)?
110
Suppose 0 = -5*p + 7*p - 1562. Let i = p + -3087/4. Calculate the common denominator of -55/16 and i.
16
Let q be (-5 - (-12 + -2))*(-1 + 4). Calculate the smallest common multiple of 25 and (-84)/q + 3 - 164/(-18).
225
Let a(l) = l**3 + 7*l**2 + l. Let h be a(-6). Suppose -7*r = -40 - h. What is the smallest common multiple of r and 90?
90
Suppose -j + 30 = -74. Suppose -4*c = 0, -4*a - c = -6*c - j. Suppose 25*h = a*h - 33. What is the smallest common multiple of h and 24?
264
Let z = -1042 - -6271/6. Let q(w) = 6*w - 12. Let r be q(2). Calculate the common denominator of z and (-1625)/78 - (r + 0).
6
Let x = 553/2 - 272. Let i be 1086/56*(-2 - 630/(-265)). Let o = i + 21/53. Calculate the common denominator of o and x.
14
Calculate the common denominator of 31/5 and -3*224/2898 - 1/(-7).
2415
Suppose g = 11*x - 11486, -76*g + 73*g = 6. What is the lowest common multiple of x and 2610?
5220
Let y = -71940419/583 + 123397. What is the common denominator of y and -38?
583
Suppose 38 = 7*b - 26*b. Calculate the common denominator of -89/42 and (-3 + (-87)/b)/15.
210
Let o(q) = 6*q**3 - 149*q**2 + 52*q + 81. What is the least common multiple of o(25) and 10?
10030
Let b = 6263/280 - 472/21. Find the common denominator of b and -149/1320.
1320
Find the common denominator of 131/1950 and 43825/5200 + 28/21*-6.
15600
Let z = 381040 + -747600401/1962. What is the common denominator of z and 73/126?
13734
Let t be (-1)/(-9) - (-420)/108. Suppose -t*l - 2*y + y + 80 = 0, y = l - 15. Calculate the lowest common multiple of 5 and l.
95
Let u be 606/(-24) + 1 + 21/(-12). Let a = u - -38. Suppose 3*l - 5*n - 23 = 0, a = l - 2*n + 4. Calculate the lowest common multiple of 20 and l.
60
Let y(c) = -2*c - 28. Let f(t) = t + 27. Let q(g) = 4*f(g) + 3*y(g). Let u be q(11). What is the smallest common multiple of 3 and u/5 + (-4)/((-40)/26)?
3
Let f = -1/282 - -6982/705. Calculate the common denominator of f and -73/1238.
6190
Suppose -i + 978 = 4*k, 975 = i + 10*k - 5*k. Calculate the least common multiple of i and 66.
990
Let k = 13184/69 - 17114833/89562. Calculate the common denominator of -83/118 and k.
1298
Let t = -4603/9 - -511. Suppose 24129 = -7*q - 735. Let x = -14295/4 - q. Find the common denominator of t and x.
36
Let j = -41 - -377. Let s be 2 + -4 + 4 - j/2. Calculate the common denominator of 7/64 and s*((-188)/(-48) - 4).
192
Let w(p) = -89*p - 75. Let a be w(-5). Let y = a - 360. What is the least common multiple of y and 29?
290
Let l be (297646/156)/(-27 + 31). Let x = 477 - l. Find the common denominator of -57/22 and x.
3432
Calculate the common denominator of (-36)/(-30) - 3536/255 and -73/5822.
17466
Let x = -132013 + 45544528/345. Find the common denominator of x and -151/24.
2760
Let m(t) = -158*t. Suppose -4*u - 27 = -4*b + 149, 5*b + 10 = 0. What is the lowest common multiple of m(-1) and u/(-6) + 24/72?
632
Let t = -73 + 94. Let g be 6/(-4)*1*(-48)/(-9). What is the smallest common multiple of t and 3 - 28/g*2?
210
Let z(v) = v**3 + 16*v**2 + 50*v + 30. What is the lowest common multiple of z(-12) and 102?
102
Suppose 2*u - 12 = -u. Suppose 26469 + 31394 = 466*j + 9399. What is the smallest common multiple of u and j?
104
Calculate the common denominator of ((72/14)/4)/((-1040)/728) - 8 and 2/(-6)*(-183)/10.
10
Find the common denominator of 39 + -39 - (-1)/(264/35) and 91/132.
264
Let w = 157445 - 50225003/319. Calculate the common denominator of w and -27/319.
319
Suppose 6*b - b - 30 = 0. Suppose 5*d - 367 = 253. Suppose 0 = 3*r - 6*r - 4*m + d, 81 = 2*r + m. Calculate the least common multiple of r and b.
120
Find the common denominator of (((-1022)/420)/(-73))/((-26)/738) and -27/50.
650
Suppose 18*p = -21*p + 4002 + 1965. What is the least common multiple of 2295 and p?
2295
Let t be -75 + (-20)/8*12/15. Let u = -31 - t. What is the common denominator of 3 - ((-351)/(-42) + 3) and u?
14
Let u be 5/(220/511528)*(-1)/(-2). Let l = 5817 - u. What is the common denominator of 61/9 and l?
99
Suppose 55 = 6*z + 391. Calculate the least common multiple of -5 - -1 - (-11)/((-88)/z) and 33.
33
Let c(d) = d**2 - 10*d + 10. Let w be c(9). Let x be (-15 + 15)*w/(-2). Suppose x = 5*v - 15. What is the lowest common multiple of 10 and v?
30
Let x = -269/3 - -2191/24. What is the common denominator of 47/658 + (-248)/(-7) and x?
8
Let r = 437 - 532. Let d = 127 + r. What is the lowest common multiple of 40 and d?
160
Let p(g) = g**3 - 150*g**2 + 4898*g - 183. What is the smallest common multiple of 70/8*(-8)/(-2) and p(102)?
105
Let s(g) = -g**2 + 3*g + 2. Let t(h) = -h**3 + 14*h**2 + 2*h - 17. What is the smallest common multiple of s(2) and t(14)?
44
Let g = 492519/609371 - 212/263. Let m be ((-91)/(-236334))/((-14)/41428). Let q = m + g. Calculate the common denominator of 49/6 and q.
102
Suppose 0 = 8*y - 492 - 1628. Let x = y - 1079/4. Find the common denominator of 11/18 and x.
36
Let q = -55455 - -3881781/70. Find the common denominator of -65/32 and q.
1120
Let t be (-5)/(-25) + ((-24033)/15 - -2). Let s = t - -3139/2. What is the common denominator of s and ((-4)/(-10))/(16/18)?
20
Let a(o) = -6*o**2 + 0*o**3 - o**3 + 2*o**3 + 3*o. Let i(m) = m**3 + 91*m**2 + 94*m + 370. Calculate the least common multiple of i(-90) and a(6).
90
Suppose 0 = -4*i + 59 + 289. Suppose p - 2*n = 16, i = 5*p - n - 20. Calculate the smallest common multiple of (10/6)/(-3 - (-655)/210) and p.
154
Let f(q) = -q**3 - 3*q**2 + 11*q. Let d be f(-6). Let y be (2 + d/(-20))/103. Let i = y + -31156/1545. What is the common denominator of i and 5/14?
42
Let d be (-1)/(-4) + ((-1)/4 - 0). Suppose -h + 10 - 5 = d. Suppose s = 4*s - h*o - 20, 3*s + 4*o = 11. What is the lowest common multiple of s and 1?
5
Let o(m) = 13*m**3 - 5*m + 2. Let j be o(3). What is the common denominator of 8/32 - j/(-56) and 9936/2835 + 7/(441/6)?
35
What is the common denominator of 8/1 + 2761/418 + -16 and 29/760?
760
Let p = 1294969/12815550 + -24/9493. Calculate the common d | {
"pile_set_name": "DM Mathematics"
} |
22105723?
False
Is 540 a factor of 13176829?
False
Is 108446637 a multiple of 80?
False
Is 1475930502 a multiple of 341?
False
Does 21 divide 219822435?
True
Is 26 a factor of 58064422?
True
Is 78345197 a multiple of 571?
True
Does 25 divide 408943950?
True
Does 392 divide 37632?
True
Is 15 a factor of 62229270?
True
Is 25 a factor of 25834175?
True
Is 44833920 a multiple of 18?
False
Is 1497 a factor of 92866446?
False
Does 303 divide 1459109832?
True
Is 5163022986 a multiple of 1419?
True
Is 10465543 a multiple of 6?
False
Is 13474614 a multiple of 159?
True
Is 7 a factor of 5702308?
False
Is 70 a factor of 7360438?
False
Is 117 a factor of 12926715?
False
Is 213 a factor of 9725911?
False
Is 46537037 a multiple of 14?
False
Is 8 a factor of 60190288?
True
Is 339831192 a multiple of 24?
True
Is 74951101 a multiple of 20?
False
Is 1581 a factor of 796824?
True
Is 92 a factor of 6106648?
False
Is 10 a factor of 250804090?
True
Does 3926 divide 204386196?
False
Is 31 a factor of 745829?
True
Is 5 a factor of 4253770?
True
Is 36 a factor of 44585267?
False
Is 617170244 a multiple of 17?
True
Does 1461 divide 420058832?
False
Does 7 divide 127995497?
True
Does 8 divide 48997054?
False
Is 74 a factor of 991593605?
False
Is 12829 a factor of 2448885782?
False
Is 201 a factor of 1528703490?
True
Is 21 a factor of 254895417?
True
Does 6 divide 328596772?
False
Is 22501240 a multiple of 785?
True
Does 298 divide 123358785?
False
Does 2473 divide 653289937?
True
Is 290 a factor of 41856570?
True
Does 11 divide 491834101?
True
Is 285067210 a multiple of 430?
True
Does 15 divide 21610485?
True
Does 127 divide 33415404?
False
Is 1008320184 a multiple of 102?
True
Is 1382260 a multiple of 260?
False
Does 49 divide 578138848?
True
Is 4 a factor of 378621680?
True
Does 6 divide 39066162?
True
Does 115 divide 3203778159?
False
Is 127 a factor of 2826065208?
False
Does 3466 divide 459745628?
False
Is 634030338 a multiple of 48?
False
Does 27 divide 27635229?
True
Does 15 divide 73725671?
False
Is 64 a factor of 12667030?
False
Is 46 a factor of 227627550?
True
Is 372265421 a multiple of 155?
False
Is 72 a factor of 59005080?
True
Is 567678892 a multiple of 374?
True
Is 12285595 a multiple of 3?
False
Does 63 divide 6131853?
True
Does 666 divide 477354168?
True
Is 18321464 a multiple of 371?
True
Does 2443 divide 270852967?
True
Is 2185488583 a multiple of 71?
False
Is 205 a factor of 2063845085?
True
Does 14 divide 382707458?
True
Is 107061435 a multiple of 1635?
True
Does 15 divide 1124121330?
True
Is 7428773 a multiple of 436?
False
Does 652 divide 1092100?
True
Is 27 a factor of 502577055?
True
Is 526035987 a multiple of 25?
False
Is 678256936 a multiple of 14?
True
Is 2614137 even?
False
Is 81 a factor of 8778294?
True
Is 9190312 a multiple of 236?
True
Is 33 a factor of 137721111?
True
Is 28988534 a multiple of 12?
False
Is 23743693 a multiple of 931?
False
Does 53 divide 681593568?
True
Is 23705147 a multiple of 221?
False
Does 2077 divide 161938196?
False
Does 114 divide 10113852?
True
Does 243 divide 45378063?
True
Is 73106855 a multiple of 47?
True
Does 3 divide 2140382?
False
Is 3 a factor of 7276479?
True
Does 39 divide 76735652?
False
Is 11115731 a multiple of 32?
False
Does 79 divide 625191212?
False
Is 413 a factor of 359797749?
False
Does 608 divide 21732099?
False
Is 128 a factor of 201235200?
True
Is 6332 a factor of 739672580?
True
Is 187 a factor of 204152176?
False
Is 502475337 a multiple of 39?
True
Does 575 divide 599517203?
False
Does 12 divide 51640272?
True
Does 147 divide 63210441?
True
Is 31 a factor of 12277054?
True
Is 17 a factor of 89087320?
False
Is 39 a factor of 188657508?
True
Is 49913647 a multiple of 26?
False
Is 1108407243 a multiple of 6022?
False
Is 1949 a factor of 40908204?
False
Is 3785568 a multiple of 6?
True
Is 124395124 a multiple of 3245?
False
Is 34 a factor of 251689658?
True
Is 33952578 a multiple of 36?
False
Does 56 divide 158423608?
True
Is 1927601231 a multiple of 14?
False
Is 311408825 a multiple of 270?
False
Is 286 a factor of 175383881?
False
Does 21 divide 13595473?
False
Does 868 divide 10020200?
False
Does 8 divide 19652968?
True
Does 31 divide 1123683350?
True
Does 827 divide 198348507?
True
Is 19583449 a multiple of 22?
False
Does 20 divide 7790960?
True
Is 2421237618 a multiple of 9?
True
Does 1256 divide 221352416?
True
Is 2818929804 a multiple of 3589?
True
Is 27 a factor of 50453982?
True
Is 658135071 a multiple of 17?
False
Is 108 a factor of 84719782?
False
Is 1306660632 a multiple of 24?
True
Is 2924849 a multiple of 8?
False
Is 25 a factor of 125716225?
True
Is 28226121 a multiple of 33?
True
Is 29235680 a multiple of 590?
True
Does 41 divide 1255597858?
True
Does 1040 divide 122357040?
True
Does 3226 divide 611656052?
True
Does 2020 divide 497119980?
True
Is 36 a factor of 800805060?
True
Does 2108 divide 365649464?
True
Is 472227840 a multiple of 315?
True
Is 7 a factor of 148716916?
False
Is 225 a factor of 659760647?
False
Does 826 divide 26161898?
True
Is 3813 a factor of 60771594?
True
Does 15 divide 133197209?
False
Does 209 divide 614059556?
True
Is 198584640 a multiple of 1696?
True
Is 113491062 a multiple of 666?
True
Is 740153196 a multiple of 58?
True
Is 97866720 a multiple of 1022?
True
Is 25184850 a multiple of 24?
False
Is 33 a factor of 1072173220?
False
Is 3311945 a multiple of 134?
False
Does 38 divide 383297792?
True
Is 20392554 a multiple of 39?
True
Is 975 a factor of 108855959?
False
Does 14 divide 141656970?
True
Is 590834845 a multiple of 4275?
False
Does 8127 divide 1763924715?
True
Is 80 a factor of 4724764?
False
Is 189 a factor of 160695927?
True
Is 79 a factor of 189963187?
False
Is 101 a factor of 7852791?
False
Is 3 a factor of 63069970?
False
Does 87 divide 37539630?
True
Is 3102 a factor of 553989282?
True
Is 127396954 a multiple of 529?
True
Does 381 divide 316010869?
False
Does 92 divide 74765180?
True
Does 11 divide 366310517?
False
Does 12 divide 928260464?
False
Does 8 divide 3102340489?
False
Is 86549335 a multiple of 3?
False
Is 191056441 a multiple of 599?
True
Is 29261539 a multiple of 834?
False
Is 25 a factor of 128537000?
True
Is 196845142 a multiple of 86?
True
Is 18000979 a multiple of 7?
False
Is 80 a factor of 41909920?
True
Does 783 divide 123186258?
True
Does 533 divide 39155246?
True
Does 105 divide 23193965?
False
Does 699 divide 288427313?
False
Is 726 a factor of 3179645115?
False
Is 300 a factor of 49225500?
True
Does 2698 divide 30784180?
True
Is 1342 a factor of 126053977?
False
Is 1885 a factor of 327594150?
True
Does 30 divide 48232988?
False
Is 3564 a factor of 4628042547?
False
Is 1617 a factor of 312635631?
True
Is 89 a factor of 4839919?
False
Does 204 divide 2125800972?
True
Is 13 a factor of 29999832?
False
Is 32 a factor of 19897787?
False
Is 82208256 a multiple of 1664?
True
Does 711 divide 768591711?
True
Is 1061595508 a multiple of 8823?
False
Does 532 divide 112578984?
False
Is 2160 a factor of 257777123?
False
Is 23245897 a multiple of 9?
False
Is 323318497 a multiple of 526?
False
Is 21 a factor of 11771583?
False
Is 1236 a factor of 1341267648?
True
Is 77 a factor of 268364866?
True
Is 3311 a factor of 10595891?
False
Does 376 divide 19934768?
True
Does 43 divide 375677153?
False
Is 768 a factor of 386374321?
False
Is 968312366 a multiple of 3359?
True
Is 1190 a factor of 4659681242?
False
Does 78 divide 220761328?
False
Is 883 a factor of 28828184?
True
Does 2822 divide 1396890?
True
Is 12 a factor of 32851884?
True
Is 149157766 a multiple of 68?
False
Is 30765852 a multiple of 3?
True
Does 35 divide 25618457?
False
Does 762 divide 2213308248?
True
Is 12 a factor of 28818816?
True
Is 317 a factor of 69080023?
False
Is 1867027390 a multiple of 2341?
False
Is 2862768 even?
True
Is 4579527 a multiple of 4?
False
Is 24848050 a multiple of 25?
True
Does 718 divide 198964980?
True
Does 7 divide 36534239?
True
Is 81405186 a multiple of 3?
True
Is 29 a factor of 432517700?
False
Does 4 divide 324931737?
False
Is 177233956 a multiple of 37?
False
Is 1788077 a multiple of 17?
True
Is 5994064 a multiple of 136?
True
Does 1821 divide 344841632?
False
Is 1177 a factor of 1157997335?
True
Does 313 divide 1671692?
False
Does | {
"pile_set_name": "DM Mathematics"
} |
f x*-17*1*(45 - 46)?
17, 43
Let a = -268 + 278. Suppose 6*s = -a*s + 6496. What are the prime factors of s?
2, 7, 29
Let l(g) be the third derivative of -g**6/120 - g**5/10 - 7*g**4/24 - 3*g**3 - g**2 - 15*g. List the prime factors of l(-12).
2, 3, 5, 31
Let o = -373 + 373. Suppose 0 = -o*s - 16*s + 9744. List the prime factors of s.
3, 7, 29
Suppose 58*l = 70*l - 83484. List the prime factors of l.
3, 773
Let n(l) = -l**3 - 3*l**2 + 6*l - 22. Let a be n(-9). Let j = a + -26. Let x = -269 + j. List the prime factors of x.
5, 23
Let z = 16446 - 4109. What are the prime factors of z?
13, 73
Let x(a) = -15488*a + 97. What are the prime factors of x(-4)?
3, 13, 37, 43
Let p(o) = o**2 + 3*o - 4. Let f be p(-4). Suppose f = -k + 1 + 2. List the prime factors of (-10)/(-6) - (-130)/k.
3, 5
Let s be (8/12)/((-1)/(-51)). Let y = 30 - s. What are the prime factors of 3*y/3*-22?
2, 11
Let y(d) = -d**3 - 13*d**2 + 136*d + 45. What are the prime factors of y(-30)?
3, 5, 751
Let n = 2046 - -11984. List the prime factors of n.
2, 5, 23, 61
Let i(z) = -2*z + 48. Let o be i(14). Suppose 0 = -4*g - 4*n + 636, 2*g + 5*n - o - 310 = 0. List the prime factors of g.
5, 31
Suppose -c = 3*x - 8*x + 124, 24 = x - c. Suppose -2*v - 3*v = -x, -4*v = -a + 290. What are the prime factors of a?
2, 5, 31
Let x(h) = 2*h**2 - 26*h. Let q be x(13). Let d(a) = -a + 4. Let k be d(q). Suppose -5*u - k*j = -399, 5*u - 95 = -3*j + 308. What are the prime factors of u?
83
Let x be -3*(-4 - 370/15). Suppose -v + x = -101. Suppose 2*n - v = 161. What are the prime factors of n?
2, 3, 29
Suppose 5*k + 2*y = 2411, 0 = k - 3*y - 70 - 385. What are the prime factors of k?
479
Let z = 644 + -633. Let h = z + 531. List the prime factors of h.
2, 271
Suppose 3*s = r + s - 5, -r - 2*s = -1. Suppose -476 - 1402 = -5*q - r*g, 1128 = 3*q + 3*g. List the prime factors of q.
3, 5
Let a be 710/3 + (10/(-6) - -2). Let r = a + 441. What are the prime factors of r?
2, 3, 113
Let j(d) = 2*d**3 + 69*d**2 + 20*d + 143. What are the prime factors of j(-28)?
5, 17, 23
Let g = 6312 + -1798. What are the prime factors of g?
2, 37, 61
Let w(i) = 3*i**3 + 62*i**2 - 42*i - 192. List the prime factors of w(-15).
3, 7, 29
Suppose -5*f + 93 = 4*m, -m + f - 3*f + 27 = 0. Suppose 14359 = m*d - 1570. List the prime factors of d.
937
Let p(h) = 19*h - 94. Let q be p(8). Let c = 81 + q. What are the prime factors of c?
139
Let a be 2/6 - (-120)/45. Suppose -10*c + 6188 = a*c. List the prime factors of c.
2, 7, 17
Let u = -10677 - -20335. What are the prime factors of u?
2, 11, 439
Suppose 4*o - 2*n - 15 = 11, -o + 5*n = 7. Suppose 507 + 861 = o*l. List the prime factors of l.
3, 19
Suppose 8*x - 5*x + 8 = 4*m, -6 = -3*m - 4*x. Suppose r - 2*g - g - 387 = 0, -m*g + 1952 = 5*r. List the prime factors of r.
2, 3, 5, 13
What are the prime factors of 46896/(-84)*(-7 - 0/(-4))?
2, 977
Let s be ((-21)/15 - 6) + 3/(-5). List the prime factors of s - (-10062)/24 - (-2)/(-8).
3, 137
Suppose -s - 21338 - 6387 = -5*k, 0 = -4*k - s + 22180. What are the prime factors of k?
5, 1109
Suppose -p + c + 41 - 16 = 0, 0 = -2*p - 2*c + 66. Let x(k) = -k**2 - 2 + 2*k + 47*k**3 + 2*k**3 + 14*k**3 + p*k**3. What are the prime factors of x(1)?
7, 13
Suppose -49*g + 89 = 1118. Suppose p + 3*p = -3*q + 198, 4*q = -p + 277. Let m = q + g. What are the prime factors of m?
7
Let m be (-37)/148 + (-6018)/(-8). Suppose -3*x + m = 203. What are the prime factors of x?
3, 61
Suppose -346 - 230 = 4*z + 2*c, 5*c = z + 144. Let u = 673 + z. What are the prime factors of u?
23
Let b = 49 + -40. Suppose 0 = -b*a + 8*a + 399. Suppose 3*g + 0*r = 3*r + 303, 3*r = 4*g - a. List the prime factors of g.
2, 3
Let j = -28 + 24. What are the prime factors of (5 - 19)/((-5)/(-370)*j)?
7, 37
Let b = -69 - -54. Let o(w) = w**3 + 16*w**2 + 14*w - 12. Let j be o(b). Suppose j*r + 404 = 7*r. List the prime factors of r.
101
List the prime factors of (45/(-35))/(-9) + 86854/14.
2, 3, 11, 47
Let s = 217 - -102. Let h = s + -42. Suppose -h = -m - 9*c + 4*c, m = -3*c + 281. What are the prime factors of m?
7, 41
Suppose -5*y + 83579 = -r, -7771 = 5*y - 3*r - 91348. What are the prime factors of y?
2, 3, 7, 199
Suppose 0 = -2*p - d - 5, 4*p - d = 3*d - 28. Let n be (-84)/70*(-5)/(-2). What are the prime factors of (n + 1)*50/p?
5
Suppose 3*w = 281 + 505. Let c be (-7 - -1)*w/(-12). Let r = c + -54. List the prime factors of r.
7, 11
Suppose 0 = 58*z - 23567 - 5723. List the prime factors of z.
5, 101
Suppose -53 + 157 = 8*l. Suppose -4*s = -l*s + 4392. List the prime factors of s.
2, 61
Let a be (-3)/6 - 35/(-10). Suppose 3*z + 10 + 2 = 0, -5*z + 406 = a*u. Suppose -u - 308 = -5*m. What are the prime factors of m?
2, 3, 5
Suppose -p - 1912 = -5*a + 14642, 2*p = -2*a + 6636. List the prime factors of a.
2, 3, 23
Let q be 2 - 2/(-4 - -6). Suppose q - 5 = -h. What are the prime factors of (-3)/h - (-179)/4?
2, 11
Let y be (-12)/84 - (-2)/14. Suppose y = -5*n + 4*n, n - 180 = 3*k. Let t = k + 127. What are the prime factors of t?
67
Suppose -20 = 3*b - 35. Suppose -q - 1360 = -b*i + i, 8 = 2*q. What are the prime factors of i?
11, 31
Suppose -758565 - 3694995 = -356*p. List the prime factors of p.
2, 3, 5, 139
Let d(o) = 24*o - 1 + 15*o + 24 + 28*o. List the prime factors of d(4).
3, 97
Let r(z) = -z**3 + 11*z**2 + 14*z + 179. List the prime factors of r(-14).
19, 257
What are the prime factors of (-26 + 6173)*(-3)/((-9)/4)?
2, 3, 683
Suppose 0 = v - 4*r - 3, v - 8*r - 10 = -11*r. List the prime factors of (1 + -1)/1 + 1566 + v.
11, 13
Let v(y) = 4*y**2 - 9*y + 16. Let n = -24 + 26. Let r be 2 + n + (-8 - -8). List the prime factors of v(r).
2, 11
Let u(w) = 15*w - 24. Let i be u(2). List the prime factors of 9*(6 + (-32)/i).
2, 3
Suppose -30*h = -102727 - 14033. Suppose 3*t - 257 - h = -5*f, -f - 5*t = -843. List the prime factors of f.
2, 3, 23
Suppose -3*l + 5*d = -5*l + 137, l = -2*d + 71. Suppose 220 = g - 5*q, -g + q + l + 159 = 0. List the prime factors of g.
5, 7
Let n = 185 + -127. Let f = n - 46. Suppose 13*x - 65 = f*x. What are the prime factors of x?
5, 13
Let i(s) be the first derivative of -43*s**3/3 + s**2 - 13*s - 4. Let p(d) = -29*d**2 + d - 9. Let x(v) = -5*i(v) + 7*p(v). What are the prime factors of x(1)?
11
Suppose 3*s - 4*k + 549 = 1306, -1250 = -5*s - 5*k. Let r = -46 - 79. Let y = s + r. What are the prime factors of y?
2, 3, 7
Let w = 3782 - -222. Suppose 47*n - 36*n = w. List the prime factors of n.
2, 7, 13
Let u = -69436 + 119767. Let f = -34831 + u. List the prime factors of 1/(-9) - f/(-180).
2, 43
Suppose -2*q - 2*q = 5*v - 226, 0 = -4*q - 2*v + 232. Let p = q - 70. What are the prime factors of 157 - 1*4*p/22?
3, 53
Let u = -3 - 5. Let n be (-378)/u + (21/(-12))/7. Let w = n - -59. What are the prime factors of w?
2, 53
Let m = -99 + 158. Let x = m + -55. Suppose x*a - 202 = 138. What are the prime factors of a?
5, 17
Let s = 1325 + -928. Suppose -961 + s = -m. List the prime factors of m.
2, 3, 47
Suppose 3*p + 13891 - 22353 - 21697 = 0. List the prime factors of p.
3, 1117
List the prime factors of ((-64)/48)/((-1)/(-2) + (-125)/234).
3, 13
Let v(p) = -6*p + 7504. List the prime factors of v(150).
2, 13, 127
Let g(f) = -2*f**2 + 35*f + 12. Let d be g(18). Let l be (-3)/d*-2 + 3. Suppose 0 = 3*i - 0*i + l*w - 300, -3*w = 0. What are the prime factors of i?
2, 5
Let s be (6 - 0)/(9 - (-135)/(-18)). Suppose -2*q + 851 = -r, -q - 4*r - 1284 = -s*q. List the prime factors of q.
2, 53
Suppose 2*b + 6643 - 102761 = 2*x, -2*b + 96166 = 4*x. What are the prime factors of b?
71, 677
Suppose 5*j - 22 + 2 = 0. Suppose -384 = -j*g + 128. List the prime factors of g.
2
Suppose 8*s - 13*s + 50 = 0. Suppose 4*n - 794 = b - s, -n = -b - 193. What are the prime factors of n?
197
Suppose -12821 = -4*t + 3*g, 5*t - 9612 = 2*t + 3*g. List the prime factors of t.
3209
Let k(o) = -16*o + 89. Let s be k(5). Suppose -s*b + 3944 = -5*b. List the prime factors of b.
2, 17, 29
Suppose -160*v + 4594296 = 8*v + 6*v. List the prime factors of v.
2, 7, 23, 41
Let b = -20353 + 52247. List the prime factors of b.
2, 37, 431
Let u(s) = -3*s**3 + 6*s**2 + 13*s + 24. Let b(z) = -13*z**3 + 22*z**2 + 51*z + 96. Let k(g) = 2*b(g) - 9*u(g). What are the prime factors of k(15)?
2, 3 | {
"pile_set_name": "DM Mathematics"
} |
t o(s) = 3*c(s) - 8*v(s). Let i be o(4). Let u be (-2)/(-14) + 240/i. Sort -3, 3, u in decreasing order.
3, u, -3
Let b(g) = -4*g + 4. Suppose -3*n = 5*v - 0*n + 5, 3*n + 15 = 0. Let j be b(v). Sort -5, 3, j in descending order.
3, j, -5
Suppose 0 = 3*m + 3. Let a(u) = 5*u + 9. Let x(l) = 14*l + 26. Let k(r) = -11*a(r) + 4*x(r). Let f be k(-9). Sort -2, m, f in decreasing order.
m, -2, f
Let k(r) be the third derivative of r**6/60 - r**5/60 - r**3/6 + 29*r**2. Let f be k(1). Sort 0.2, 4, f, 2 in descending order.
4, 2, 0.2, f
Let s = -214.2 - -210.2. Put 4, s, 0.13, 5/6 in increasing order.
s, 0.13, 5/6, 4
Let r be 2/(-2)*6/((-12)/10). Suppose 0 = -4*y + r*i - 16, 2*y - 4*i + 9 - 1 = 0. Put y, 5, 4, -1 in descending order.
5, 4, -1, y
Let l = 184 + -188. Sort l, -1, 1 in ascending order.
l, -1, 1
Let q be 1/(((-2)/(-22))/1). Let b = -30 + 26. Sort b, 0.3, q in descending order.
q, 0.3, b
Let r = -0.2 + 0.2. Let p = r + 0.2. Let q = -0.038 + 0.088. Sort q, p, 3 in ascending order.
q, p, 3
Let i be 3/(-1 + (-7)/(-4)). Suppose n = -4*m - 5, 4*m + i*n = -m - 9. Let k = -4 - m. Put 5, 4, k in increasing order.
k, 4, 5
Let q be 13/15 + (-20)/(-150). Suppose -4*k - 10 = -2*h, -4*k - 2*h + h - q = 0. Let l = 14 - 13. Sort k, l, 5 in descending order.
5, l, k
Let n = -13.03 + 0.03. Let s = -12 - n. Let c = -5 + s. Sort -2, 3/2, c.
c, -2, 3/2
Let b(x) = x**2 + 11*x - 10. Let g be b(-12). Suppose 0 = -2*p - g, n + 6 - 1 = -3*p. Let d = -12.2 - -12. Sort n, -1, d in descending order.
d, -1, n
Let n = 19 + -19. Suppose n = -u + 5*r + 44, 9 = -6*r + 3*r. Suppose 4*f - u = -9. Sort -3, f, -5 in ascending order.
-5, -3, f
Let l = -7 + 3. Let b(n) = 2*n**2 - 41*n - 120. Let i be b(23). Sort 5, l, i in descending order.
5, l, i
Let z = -82 + 81.88. Sort 0.3, 1, 3/7, z in ascending order.
z, 0.3, 3/7, 1
Let x = -44.4 - -46. Let u = 1.3 + 0. Let r = x - u. Sort 0.7, r, 2 in decreasing order.
2, 0.7, r
Suppose -2 - 2 = -3*i + 2*h, 0 = 4*i + h - 9. Let c(d) = 19*d + 53. Let b be c(-3). Sort b, -3, i, 13 in decreasing order.
13, i, -3, b
Let p = 1 + -1.43. Let m = -0.5 - p. Let c = m + 0.37. Sort 3, c, 2.
c, 2, 3
Let k(a) = -a**3 + 2*a**2 + 4*a - 3. Let f be k(3). Let j = 4 - -3. Let w = j + -6.8. Sort w, -4, f.
-4, f, w
Let i = -1.697 - -0.697. Put 8, i, 4/9 in descending order.
8, 4/9, i
Let v(o) be the first derivative of -o**3/3 - 4*o**2 + 14*o - 5. Let q be v(-10). Let m be (-1)/q + (-3)/2. Put -1/7, m, -0.5 in decreasing order.
-1/7, -0.5, m
Let w be (-2)/((8/(-24))/(4/6)). Let x = -1.3 + 0.8. Suppose -4*n + 3*n - 29 = 5*p, 0 = 4*p - 3*n + 8. Sort p, x, w in ascending order.
p, x, w
Let z be (10/15)/(1/3). Let u(i) = -i**2 - 28*i - 192. Let v be u(-16). Sort v, 11, z, 4 in descending order.
11, 4, z, v
Let t be (-5)/1*(-10)/(-10). Suppose -8*f + 0 = 16. Put 0, t, f, -3 in decreasing order.
0, f, -3, t
Let l be (-3)/((-9)/30) - -4. Suppose -l*g - 12 = -11*g. Put g, -3, -2 in increasing order.
g, -3, -2
Suppose -5*s + 10*s - 260 = 0. Suppose -s = 3*b + 11. Let y be (-14)/b*(-3)/10. Sort 1/6, -2/3, y in increasing order.
-2/3, y, 1/6
Let i = 71/114 - 26/57. Sort -3, i, 0.04, 3/4 in increasing order.
-3, 0.04, i, 3/4
Let r = 2041 + -4081/2. Sort r, -0.063, 2/3, -5 in increasing order.
-5, -0.063, r, 2/3
Suppose -15 = 24*p - 21*p. Put 2, -1, p, -2 in decreasing order.
2, -1, -2, p
Suppose -3*k - 8 = -f, -f + 4 = -4*k + 3*k. Suppose -56 = 5*g - 71. Suppose g*s - 11*s = 8. Sort s, f, -5 in increasing order.
-5, s, f
Let o(d) = -d**3 - d. Let b be o(-1). Let r(n) = 2*n - 11. Let y be r(7). Suppose h = 4*t + 15, -y*h = 2*h - t + 1. Put h, 0, b in ascending order.
h, 0, b
Let b(z) = 2*z**2 + z - 2. Let g be b(-2). Let y be (-21)/6 + 1/(-2). Sort 0, y, -8, g in descending order.
g, 0, y, -8
Let m = -258 + 256. Put m, 2/7, -1/7 in descending order.
2/7, -1/7, m
Let v = -13 + 22. Let p = v + -6. Suppose -p = 3*q + 3*u, 3*u + 17 = -q - 2*u. Sort q, -3, 10 in ascending order.
-3, q, 10
Let x = -117.78 - -117.8. Put 0.1, x, 0, -5 in decreasing order.
0.1, x, 0, -5
Let u(k) = -3*k**2 + 20*k + 94. Let r be u(10). Sort r, -0.5, 2/13 in descending order.
2/13, -0.5, r
Let j(g) = -g**2 - 19*g + 97. Let u be j(-23). Sort 256, u, 2.
2, u, 256
Let g = 0.1 + -0.1. Let c(f) = -f**2 - f + 1. Let o be c(1). Let y be ((-15)/(-6))/(o/(-2)). Sort y, -4/9, g.
-4/9, g, y
Let m = -1 - -1. Let o be (8 - 95/10)/((-3)/(-6)). Put 5, o, m in descending order.
5, m, o
Suppose -19*s + 20*s + 6 = -4*y, 5*y + 13 = -4*s. Put -4/5, 4, 0.2, s in decreasing order.
4, 0.2, -4/5, s
Suppose 6*z - 655 = -679. Let m be 12/20 - (-6)/(-10). Sort m, 4, z in increasing order.
z, m, 4
Let g(s) = 16*s**2 + 1. Let d be g(-1). Suppose 19*t + 26 = d*t. Let q = 16 + t. Sort 8, -2, q in decreasing order.
8, q, -2
Let u be (-3)/8 + (-117)/72. Sort -9, u, -4, -11 in ascending order.
-11, -9, -4, u
Suppose 4*t - 5*q = -160, -15*t = -11*t + 3*q + 160. Sort -5, t, 5, -1 in increasing order.
t, -5, -1, 5
Let h = -28 + 32. Let q = 4.3 - h. Let f = -47/2 - -23. Put f, -4, q in decreasing order.
q, f, -4
Let h(c) = -c**3 - 10*c**2 + 31*c + 27. Let x be h(-12). Sort x, 4, 8.
x, 4, 8
Let w = -33.2 - 2.8. Let u = -2813.2 + 2813. Put 2/9, u, w in decreasing order.
2/9, u, w
Suppose -40 = -22*s + 48. Sort -4, 8, s, -3 in decreasing order.
8, s, -3, -4
Let m = 564.6 + -566. Sort 3, m, -2, -1/2 in increasing order.
-2, m, -1/2, 3
Let c = 318 + -315. Sort -5, c, -2, 7 in decreasing order.
7, c, -2, -5
Suppose -j + 1 = 2. Suppose 12*q - 10*q = -6. Put q, 1, j in descending order.
1, j, q
Let u = 17.6 - 10. Let h = u + -8. Let j = 2 + -11/6. Sort 4/7, j, h in descending order.
4/7, j, h
Suppose -27*w = -13*w - 42. Put 0.12, 9, w in ascending order.
0.12, w, 9
Let t = -50 + 60. Let h be 2/9 + t/(-45). Sort -2, h, 1, -7 in descending order.
1, h, -2, -7
Let v = -0.16 + 2.16. Sort 0.076, -0.5, 2/13, v in descending order.
v, 2/13, 0.076, -0.5
Let g = -2.1 + 10.3. Let m = 9 - g. Let w = -1.3 + m. Sort -2, 3, w in ascending order.
-2, w, 3
Let b = 121 + -156. Let j = 35 + b. Put 1/8, -1, -3, j in decreasing order.
1/8, j, -1, -3
Suppose -4 = 45*p - 43*p. Sort 55, -4, -5, p in ascending order.
-5, -4, p, 55
Let j be -11 - (-54)/((-108)/(-12)). Let h = 1 - 1. Put 2/65, j, h in decreasing order.
2/65, h, j
Suppose 4*z + 3*w + 106 = 0, -z + 18*w - 15 = 13*w. Sort 0.1, -2, -0.4, z in increasing order.
z, -2, -0.4, 0.1
Let q be (42/(-24))/(1/(-12) + 0). Let g be (20/14 - 1)/((-6)/q). Let u = 6 + -3. Sort -1, g, u in descending order.
u, -1, g
Let h be (-32)/(-6)*18/8. Let u be ((-2)/(-10))/((-177)/(-2655)). Put u, 4, h, 5 in decreasing order.
h, 5, 4, u
Let l = 745 - 750. Let a = 1 - 1. Put l, 4, a in decreasing order.
4, a, l
Let w = -28.3 - -26. Let b = w + -0.7. Sort b, 0.3, 1 in decreasing order.
1, 0.3, b
Let x = -95 - -44. Let b = 50 + x. Sort 0.4, -4, -2/3, b in decreasing order.
0.4, -2/3, b, -4
Suppose 0 = -4*z - 7 - 153. Put z, -4, -2 in decreasing order.
-2, -4, z
Let w be ((-52)/39)/((-4)/336*2). Sort 0, w, -5 in descending order.
w, 0, -5
Let v = -3 + 3.5. Let f be 2/(-64)*4 - 15/72. Sort v, 0.4, f.
f, 0.4, v
Let o = 3.428 + -3.828. Let r be 4/10 - (2 + -2). Sort r, o, -15 in decreasing order.
r, o, -15
Let f = 13.09 - 13. Let p = 2.09 - f. Put p, -0.1, 0.4, -2/3 in descending order.
p, 0.4, -0.1, -2/3
Suppose 5*y = 10*y - 3*x - 5, -x + 17 = 3*y. Sort 0, y, -37 in decreasing order.
y, 0, -37
Let s = -76 - -81. Sort -4, -2/181, s.
-4, -2/181, s
Let h = -2 - -5. Suppose z + 2 = h*z. Let i be (-4)/12 - 7/42. Sort 2, i, z.
i, z, 2
Let q be 78/4 - (-3)/(-6). Suppose -5*k = -2*w - q, -7 = k - 5*w + 3. Let d be (6/(-2))/3*1. Sort 4, k, d.
d, 4, k
Let n be (-1 + 0)*-1*-4. Let z = 0.2929 - 141.9929. Let b = -142 - z. Sort 2, n, b in decreasing order.
2, b, n
Let d = -0.83 + -3.27. Let k = d + 1.1. Put k, 0.5, 0.3, 5 in decreasing order.
5, 0.5, 0.3, k
Suppose 3*r + 4*x + 21 = 1, -5*x + 10 = -5*r. Let c(w) = 1 - 7 + 17*w**2 - w**3 - 26*w**2 + 0*w**3 + 22*w. Let f be c(-11). Sort -5, f, r in increasing order.
f, -5, r
Suppose 37 = 12*v + 1. Put 5, v, -1 in decreasing order.
5, v, -1
Let v = 56.73 - 57. Let x = -1.47 - v. Sort 1, -3, x.
-3, x, 1
Suppose 103 + 43 = 5*w - 2*y, 3*w - 5*y - 80 = 0. Let t = -27 + w. Sort t, -12, -1 in descending orde | {
"pile_set_name": "DM Mathematics"
} |
0. Calculate the lowest common multiple of f and w.
924
Let h = 2665 - 13262/5. What is the common denominator of h and 8723/183 + (-2)/12?
10
Calculate the least common multiple of ((-8)/(-20))/(3 + 3096/(-1035)) and 69.
138
Let j(t) = -136*t**3 + 3*t + 2. Let h be j(2). Calculate the smallest common multiple of 10 and h/(-75) + (-2)/5.
70
Let l(v) = -v**3 + 15*v**2 - 40*v - 4. Let j = -6 + 9. What is the smallest common multiple of l(4) and j?
12
Let x(r) = -r**3 - 18*r**2 + 8. Let t(p) = -6*p + 8*p + 18*p. Calculate the smallest common multiple of t(1) and x(-18).
40
Let o = 271 + -109. What is the smallest common multiple of o and 9?
162
Suppose -4*u - 2*c + 57 = -5*c, -4*u - 4*c + 36 = 0. Let w be (10/(-4) - 0)*u. What is the common denominator of 31 and (550/w)/(7/(-3))?
7
Let f(t) be the second derivative of -2*t**3 + 15*t**2 - 21*t. What is the lowest common multiple of f(0) and 2?
30
Calculate the common denominator of ((-390)/(-45))/((-16)/30) and ((-24)/5)/(148/(-30) - -4).
28
Suppose 4*q - 187 = 3*h - 24, -q - 2 = 0. Let m be 3 - 1 - h/3. Let z = -1 + m. Calculate the smallest common multiple of z and 4.
20
Let s = 11495 + -6426. Let w = 91159/18 - s. Let v = 1712 + -17007/10. What is the common denominator of v and w?
90
Let z(x) = x**2 + 8*x. Let i(o) = -o**2 - o - 8. Let q be i(0). Let c be z(q). Suppose c = 3*s + 31 - 91. Calculate the smallest common multiple of s and 18.
180
What is the smallest common multiple of (-6)/2*(-20)/6 and (((-378)/(-12))/(-21))/(1/(-20))?
30
Let x(n) = -n**2 + 8*n + 12. Let b be x(11). Suppose -l - 65 = 4*g - 9, l - 61 = 5*g. Let o = g - b. What is the smallest common multiple of o and 22?
88
Suppose 5*i = 9 + 1. Let f be (-1 - 12)*(-8 + 6). Suppose 6 = -4*g + f. Calculate the lowest common multiple of g and i.
10
Suppose -v - 9 = 5*s - 0*s, 0 = 5*s - 2*v + 12. Let z be 28/(-16) - s/(-8). Calculate the lowest common multiple of -2 + 4 - (z - 18) and 14.
154
Suppose 0 = -3*k + 24 + 9. What is the smallest common multiple of k and 6?
66
Let c(m) = 41*m + 1. Let n be c(-1). Find the common denominator of 6/(-9) - 49/9 and 1/(-2)*(n + -1).
18
Suppose -3*a + 155 = -m, -5*a - 2*m + 261 = -m. Calculate the least common multiple of a and 12.
156
Suppose -4*z - z - 5*r + 205 = 0, 6 = 3*r. Suppose -j = 2*j - z. Suppose -2*u - j + 37 = 0. What is the lowest common multiple of 8 and u?
24
Calculate the common denominator of -23/264 and 18 - 9 - (-5579)/(-616).
264
Let k = 143779/18 + -7983. Find the common denominator of (-5481)/84*3/(-36) and k.
144
Let x be ((-22)/(-3))/(-4 - 868/(-216)). Find the common denominator of (-10)/(-2) + (-1430)/x and 57/2.
18
Let s(f) = 2*f**2 - 6*f + 2. Let u(w) = w**3 - 4*w**2 + 4*w - 4. Calculate the smallest common multiple of s(5) and u(4).
132
Suppose 3*j + 2*w + 9 = -97, 3*j + 107 = -w. Let m be (2/(-4))/(2/j). Suppose -4*b - 55 = -m*b. Calculate the least common multiple of 5 and b.
55
Let m be (-99510)/(-17559) + 1/(-4). Let u = -1/1951 + m. Calculate the common denominator of u and 18/7.
84
Let y = -11489/8 - -1439. Let q = -5507 - -71633/13. What is the common denominator of y and q?
104
Suppose 5*w + 3*z = 123, -2*w - w = 5*z - 61. Calculate the lowest common multiple of 1/(-18)*4 - (-168)/w and 54.
54
Let x be 3 + 2/(-4) + (-2)/4. What is the common denominator of -33/17 and (34/(-14) + x)/((-22)/(-1771))?
34
Let z = -234831/332 + 2829/4. Let i = -3706/747 - z. What is the common denominator of 113/10 and i?
90
Let s(a) = -2*a - 6. Let c be s(-6). Let z be 0 + 0 + -3 + c. Suppose z*k - 11 = 4*l, -k + l + 13 = 2*l. Calculate the lowest common multiple of k and 11.
99
Let j = 84044/17 - 4946. Calculate the common denominator of 76/21 and j.
357
Let s be 8/10 - (-152)/(-40). Calculate the common denominator of 87/8 and s + 4 + 310/(-15).
24
Let x = -9 + 13. Suppose -x*c = -0*c - 72. Calculate the lowest common multiple of 20 and c.
180
Let p(d) = d**2 - 6*d + 7. Let v be p(5). Let h be 54*(-3 - (-7)/v). Suppose 22*y + 180 = h*y. What is the least common multiple of y and 4?
36
Suppose 36 = -0*d + 3*d. Calculate the smallest common multiple of d and (-20)/(((-126)/7)/9).
60
Let w be 8*(-2)/(-4) - -24. Let p = 16 - w. Let r(v) = -v + 12. What is the smallest common multiple of r(p) and 3?
24
Let r be (-2)/(42/9 + -4). Let c = -4553/396 + -1/396. What is the common denominator of 2 - (460/(-56) - r) and c?
14
Suppose 0 = 2*z - 5*z + 6. Suppose 0*s + 4*s - 12 = 0. Suppose -6 = -z*h - 0*h, -3*i + s*h = -42. What is the smallest common multiple of 7 and i?
119
Suppose -34 + 32 = -l. Calculate the lowest common multiple of ((-64)/24 + (l - 4))*-3 and 7.
14
Let r(b) = b**3 + 16*b**2 + 13*b + 4. Let p be r(-15). Let y = p - 12. What is the lowest common multiple of y and 10?
110
Suppose 14 = 4*n + 2, 4*m + 4*n - 876 = 0. Calculate the common denominator of m/(-10)*6/12*1 and -45/53.
265
Suppose 75*u + 3*i - 137 = 71*u, 2*u - 2*i = 72. What is the lowest common multiple of 80 and u?
560
Suppose 2*x - 303 = 43. Let h = -3115/18 + x. Calculate the common denominator of 61/12 and h.
36
Suppose -16*p + 185 = -167. Suppose -g + 8 = 2*v, 14 + 17 = 3*g - v. What is the smallest common multiple of g and p?
110
Calculate the common denominator of ((-142)/(-30))/(68/(-102)) and -89/304.
1520
Let o = -10 + 7. Let s = o - 0. Find the common denominator of (-226)/(-40) + s/(-12) and -29/4.
20
Calculate the common denominator of -157/90 and (2/15)/(24/880).
90
Let x be (6*-1)/((-4)/8). Find the common denominator of 3/20*(-5)/x and 5/6.
48
Let x = 610097/344688 + 6/7181. Find the common denominator of x and 35/22.
528
Let z(i) = 2*i**2 - 6*i + 2. Let c = 11 + -7. Suppose 24 + c = 2*t. What is the lowest common multiple of t and z(5)?
154
Let l = -65 + 115. Suppose 7*t - l = 2*t. What is the least common multiple of t and 1*-2 - (-8 - 4)?
10
Let s = 1481 + -29613/20. Let x = -317/20 + s. What is the common denominator of x and -95/24?
24
Suppose -u + 2*j + 1752 = 0, 3*u + 0*u + 3*j - 5238 = 0. Let q = 24445/14 - u. Find the common denominator of -157/66 and q.
462
What is the common denominator of 10/(-54)*(6 - 18/4) and ((-178)/(-2) - 0)/8?
72
Let h = 7203151/137 - 52578. Calculate the common denominator of -75/2 and h.
274
Let i(o) = 6 - 12 + 3*o + 3*o. Suppose 0 = d - 0*d - 3. Calculate the smallest common multiple of d and i(2).
6
Find the common denominator of (-1 + 0 + -1)/((-140)/(-1155)) and 2/((-24)/(-87)) + 2.
4
Let a = -2/4189 - 381187/25134. Find the common denominator of -55/134 and a.
402
Let z = 49 - 80. Let h = z - -44. Calculate the lowest common multiple of h and 11.
143
Suppose 26*a - 2622 = -20*a. What is the lowest common multiple of 102 and a?
1938
Suppose 0 = -5*m - 5*q + 285, -5*m + 250 = -2*q - 0*q. What is the least common multiple of m - 5*1/(-10)*4 and 20?
540
Let j(p) = -9*p - 39. What is the lowest common multiple of j(-5) and (-51)/(-7) - 10/35?
42
Suppose -14*j = -194 - 100. What is the least common multiple of 63 and j?
63
Let o(f) = f**3 - 2*f**2 + 3*f. Suppose 8 = 7*i - 3*i. Suppose 0*n + 4 = i*n. What is the least common multiple of o(n) and 8?
24
Let f(t) = 2*t**2 - 2*t - 2. Let u = -12 + 18. Calculate the lowest common multiple of u and f(-3).
66
What is the common denominator of 2/40*6956/555 and -127/30?
150
Let g = -368 - -386. What is the least common multiple of 182 and g?
1638
Let z(g) = -g**2 + 27*g - 18. Let o be z(25). Calculate the common denominator of 142/(-6)*24/o and 93/8.
8
Let x = -359 + 609. Calculate the least common multiple of x and 4.
500
Find the common denominator of 37/35 and (1 - 3) + (0 - (-174)/(-240)).
280
Suppose 0*j - 15 = -5*j. Let r be (j + 4)/(17/376). Let y = -309/2 + r. What is the common denominator of -31/22 and y?
374
Let f be (-2 + 14/6)*6. Suppose 4*m = 3*d - 37, -5*d - 12 = -f*m + m. Let o = 1 - m. Calculate the lowest common multiple of 12 and o.
84
Let w be 0 - 3 - (5 - 6). Let a = 0 - w. Suppose 5*o = -a*i + 6, 2*o - 3*o = -2*i + 18. What is the least common multiple of i and 4?
8
Let a = 40126883/165361125 - -2/440963. What is the common denominator of a and 56/45?
1125
Let o be 1/(4 + -3 - 0/3). What is the smallest common multiple of 3 and 305/80*4 + o/(-4)?
15
Let b(l) = 2*l**2 + l + 3. Let g = 81 + -78. | {
"pile_set_name": "DM Mathematics"
} |
test common factor of 560 and 4130?
70
What is the highest common factor of 798 and 182658?
42
What is the highest common factor of 1 and 65191?
1
What is the highest common factor of 801 and 12345279?
267
What is the highest common divisor of 5 and 4447865?
5
Calculate the highest common factor of 168 and 43896.
24
What is the highest common factor of 93 and 86459?
31
Calculate the greatest common divisor of 180 and 41550.
30
What is the highest common factor of 572785 and 291?
97
Calculate the highest common divisor of 3212 and 286.
22
Calculate the highest common divisor of 300 and 3084.
12
What is the greatest common factor of 9414 and 1278?
18
What is the greatest common factor of 42 and 844494?
42
What is the greatest common factor of 7182 and 14896?
266
What is the greatest common divisor of 28328 and 184?
8
What is the highest common factor of 10530 and 39390?
390
Calculate the greatest common factor of 35914 and 8.
2
What is the greatest common factor of 2200 and 1298?
22
What is the highest common divisor of 18 and 4986?
18
What is the greatest common factor of 7160 and 200?
40
What is the highest common divisor of 242 and 178?
2
What is the greatest common divisor of 200 and 4146500?
100
What is the greatest common factor of 1980 and 2670?
30
What is the greatest common divisor of 368320 and 800?
160
What is the greatest common divisor of 12274 and 912?
38
What is the greatest common divisor of 2177820 and 18?
18
What is the greatest common factor of 98716 and 4?
4
Calculate the highest common factor of 632 and 13240.
8
Calculate the highest common divisor of 100 and 39420.
20
What is the greatest common factor of 1089 and 66501?
9
Calculate the highest common divisor of 1224 and 1717.
17
Calculate the highest common factor of 3713 and 13351.
79
Calculate the greatest common factor of 6160 and 320760.
440
Calculate the highest common divisor of 140429 and 4279.
389
What is the highest common factor of 89433 and 456?
57
What is the highest common divisor of 168183 and 297?
27
Calculate the highest common factor of 23254 and 44.
22
What is the greatest common divisor of 732982 and 646?
38
Calculate the greatest common factor of 250300 and 100.
100
What is the greatest common divisor of 2787 and 26012?
929
Calculate the highest common factor of 135772 and 936.
52
Calculate the highest common divisor of 307934 and 528.
22
What is the highest common divisor of 16 and 1899?
1
Calculate the highest common factor of 150176 and 5408.
416
What is the greatest common factor of 23407 and 6408?
89
Calculate the greatest common factor of 33219 and 36.
9
What is the greatest common divisor of 9061 and 304343?
533
What is the highest common factor of 396 and 14832?
36
What is the greatest common factor of 2960 and 33448?
296
What is the greatest common divisor of 268845 and 15?
15
Calculate the highest common divisor of 40599 and 1467.
9
What is the greatest common factor of 2655 and 70033?
59
What is the highest common factor of 3 and 23766?
3
Calculate the highest common factor of 7 and 1857863.
7
What is the greatest common factor of 44 and 7359?
11
What is the greatest common divisor of 2922 and 2528504?
974
What is the highest common factor of 73743 and 30857?
523
What is the highest common divisor of 184 and 488?
8
Calculate the greatest common factor of 3528 and 64.
8
What is the highest common factor of 13458 and 54?
6
Calculate the highest common divisor of 25937 and 259.
37
Calculate the highest common divisor of 406 and 3860654.
406
Calculate the highest common divisor of 54735 and 9840.
615
What is the greatest common divisor of 132856 and 24?
8
Calculate the highest common divisor of 828 and 5428.
92
What is the highest common factor of 18 and 132363?
9
Calculate the highest common divisor of 1449 and 441.
63
Calculate the greatest common divisor of 176 and 500224.
16
Calculate the greatest common divisor of 11037 and 117.
39
What is the greatest common divisor of 5713 and 29?
29
Calculate the highest common factor of 5173 and 2711391.
739
Calculate the highest common factor of 2106 and 7209.
81
What is the greatest common factor of 2184 and 11298?
42
Calculate the highest common divisor of 647237 and 3809.
293
What is the greatest common divisor of 8339 and 2015?
31
What is the greatest common divisor of 809 and 20?
1
Calculate the greatest common divisor of 271628 and 1068.
356
What is the highest common factor of 138942 and 2490?
498
What is the greatest common factor of 1100 and 66550?
550
Calculate the highest common factor of 4250 and 39440.
170
Calculate the greatest common factor of 894 and 3468.
6
Calculate the highest common factor of 144 and 729396.
36
Calculate the highest common factor of 18 and 15777.
9
Calculate the greatest common divisor of 980 and 123676.
196
What is the greatest common factor of 31 and 5630716?
31
What is the highest common divisor of 24950 and 50?
50
Calculate the highest common factor of 1025 and 26225.
25
What is the highest common divisor of 39 and 33163?
13
Calculate the greatest common factor of 169679 and 58.
29
Calculate the highest common factor of 74 and 2604060.
74
Calculate the highest common factor of 684 and 1983.
3
Calculate the highest common divisor of 29205 and 891.
99
Calculate the greatest common factor of 121 and 80707.
121
Calculate the greatest common divisor of 2168794 and 18390.
1226
Calculate the highest common factor of 210 and 239043.
21
What is the highest common factor of 27 and 1068?
3
Calculate the highest common divisor of 1274 and 1937.
13
Calculate the greatest common factor of 17 and 21811.
17
Calculate the greatest common factor of 60931 and 2795.
559
What is the greatest common divisor of 6061312 and 1024?
256
Calculate the greatest common factor of 10324 and 928.
116
What is the highest common factor of 4734 and 240?
6
What is the highest common divisor of 138515 and 1690?
65
Calculate the greatest common divisor of 8 and 17912.
8
Calculate the greatest common factor of 3393 and 153.
9
Calculate the greatest common divisor of 2713235 and 35.
35
What is the greatest common divisor of 8225 and 135548?
329
What is the highest common divisor of 385 and 497?
7
Calculate the greatest common divisor of 62190 and 3240.
90
What is the greatest common factor of 1026 and 2185?
19
What is the greatest common factor of 49 and 1155469?
49
Calculate the greatest common factor of 30 and 1405.
5
Calculate the greatest common divisor of 162 and 70128.
18
Calculate the highest common divisor of 576 and 7866.
18
What is the greatest common divisor of 1197 and 53333?
133
What is the greatest common divisor of 4060 and 350?
70
Calculate the greatest common divisor of 8825 and 10943.
353
What is the greatest common factor of 760 and 2010?
10
Calculate the highest common factor of 72853 and 74.
37
Calculate the greatest common factor of 5075 and 56875.
175
Calculate the highest common divisor of 81 and 89289.
27
Calculate the highest common divisor of 42 and 769146.
42
Calculate the highest common factor of 1411 and 3901.
83
What is the highest common divisor of 68 and 24514?
34
Calculate the greatest common factor of 23672 and 17578.
22
Calculate the highest common factor of 779 and 5947.
19
Calculate the highest common factor of 1234 and 5794864.
1234
What is the greatest common factor of 215 and 11751255?
215
What is the greatest common divisor of 492 and 27564?
12
Calculate the highest common factor of 13561 and 284.
71
What is the greatest common divisor of 201627 and 774?
387
Calculate the greatest common divisor of 4368 and 9366.
42
What is the greatest common divisor of 332308 and 4?
4
What is the greatest common factor of 91 and 1085721?
91
Calculate the greatest common factor of 1068 and 270.
6
Calculate the greatest common factor of 1502 and 18.
2
Calculate the greatest common factor of 9695 and 133.
7
What is the highest common divisor of 3185 and 22519?
7
Calculate the greatest common factor of 2 and 6922.
2
Calculate the greatest common divisor of 31290 and 2058.
42
What is the highest common factor of 53 and 780955?
53
Calculate the highest common factor of 15000 and 1100.
100
Calculate the greatest common divisor of 68904 and 12474.
594
Calculate the greatest commo | {
"pile_set_name": "DM Mathematics"
} |
by 2666?
311
What is the remainder when 9430 is divided by 2571?
1717
Calculate the remainder when 1168666 is divided by 707.
702
Calculate the remainder when 1170 is divided by 113.
40
Calculate the remainder when 2127 is divided by 307.
285
Calculate the remainder when 7064 is divided by 436.
88
What is the remainder when 47121 is divided by 191?
135
Calculate the remainder when 1267040 is divided by 17.
13
Calculate the remainder when 151129 is divided by 16792.
1
Calculate the remainder when 1206180 is divided by 317.
312
Calculate the remainder when 20877 is divided by 72.
69
What is the remainder when 75618 is divided by 581?
88
What is the remainder when 71970 is divided by 23971?
57
What is the remainder when 428627 is divided by 225?
2
Calculate the remainder when 16010 is divided by 1458.
1430
Calculate the remainder when 143308 is divided by 51.
49
What is the remainder when 9621 is divided by 11?
7
What is the remainder when 8202 is divided by 1625?
77
What is the remainder when 32127 is divided by 9?
6
Calculate the remainder when 870 is divided by 4.
2
What is the remainder when 38656 is divided by 38491?
165
What is the remainder when 5671 is divided by 232?
103
Calculate the remainder when 44627 is divided by 260.
167
Calculate the remainder when 2936 is divided by 714.
80
What is the remainder when 2845099 is divided by 61?
59
What is the remainder when 84932 is divided by 143?
133
Calculate the remainder when 31031 is divided by 1825.
6
What is the remainder when 31406 is divided by 208?
206
Calculate the remainder when 56652 is divided by 21.
15
What is the remainder when 113115 is divided by 4712?
27
Calculate the remainder when 19427 is divided by 9698.
31
What is the remainder when 4524 is divided by 721?
198
Calculate the remainder when 42230 is divided by 220.
210
Calculate the remainder when 115089 is divided by 28768.
17
What is the remainder when 181171 is divided by 45277?
63
Calculate the remainder when 42053 is divided by 21018.
17
Calculate the remainder when 23275 is divided by 529.
528
What is the remainder when 772298 is divided by 1222?
1216
What is the remainder when 57949 is divided by 19316?
1
What is the remainder when 1295 is divided by 18?
17
Calculate the remainder when 38923 is divided by 38918.
5
What is the remainder when 447 is divided by 192?
63
What is the remainder when 10983 is divided by 738?
651
Calculate the remainder when 22149 is divided by 5536.
5
What is the remainder when 69581 is divided by 34789?
3
Calculate the remainder when 2094 is divided by 683.
45
Calculate the remainder when 6408 is divided by 13.
12
What is the remainder when 96217 is divided by 553?
548
What is the remainder when 179485 is divided by 109?
71
What is the remainder when 33581 is divided by 8391?
17
What is the remainder when 5693 is divided by 14?
9
Calculate the remainder when 97098 is divided by 18.
6
What is the remainder when 1501 is divided by 99?
16
What is the remainder when 31483 is divided by 92?
19
Calculate the remainder when 15685 is divided by 21.
19
What is the remainder when 17859 is divided by 116?
111
Calculate the remainder when 2763179 is divided by 139.
137
What is the remainder when 4839 is divided by 44?
43
What is the remainder when 48960 is divided by 859?
856
Calculate the remainder when 2595 is divided by 639.
39
Calculate the remainder when 139309 is divided by 21.
16
What is the remainder when 649 is divided by 13?
12
What is the remainder when 18478 is divided by 5921?
715
Calculate the remainder when 16748 is divided by 1195.
18
Calculate the remainder when 5102613 is divided by 24.
21
What is the remainder when 608 is divided by 84?
20
Calculate the remainder when 1600 is divided by 23.
13
What is the remainder when 664996 is divided by 332496?
4
Calculate the remainder when 12243 is divided by 225.
93
Calculate the remainder when 10654 is divided by 146.
142
What is the remainder when 78291 is divided by 16?
3
Calculate the remainder when 84818 is divided by 195.
188
Calculate the remainder when 458891 is divided by 42.
41
What is the remainder when 7120 is divided by 2340?
100
What is the remainder when 16107 is divided by 488?
3
What is the remainder when 26737 is divided by 453?
10
Calculate the remainder when 53973 is divided by 14.
3
What is the remainder when 11791 is divided by 5794?
203
Calculate the remainder when 819735 is divided by 9.
6
What is the remainder when 4294 is divided by 1071?
10
Calculate the remainder when 1069378 is divided by 585.
583
Calculate the remainder when 1130 is divided by 292.
254
What is the remainder when 1305 is divided by 754?
551
Calculate the remainder when 481 is divided by 216.
49
What is the remainder when 162806 is divided by 36?
14
Calculate the remainder when 2249239 is divided by 203.
202
Calculate the remainder when 480221 is divided by 27.
26
What is the remainder when 25323 is divided by 257?
137
Calculate the remainder when 5536 is divided by 412.
180
What is the remainder when 22004 is divided by 168?
164
Calculate the remainder when 145534 is divided by 184.
174
Calculate the remainder when 1467 is divided by 483.
18
What is the remainder when 412 is divided by 100?
12
Calculate the remainder when 17275 is divided by 90.
85
What is the remainder when 8400 is divided by 79?
26
Calculate the remainder when 2843586 is divided by 85.
81
What is the remainder when 33610 is divided by 1526?
38
What is the remainder when 15955 is divided by 15944?
11
What is the remainder when 4670 is divided by 864?
350
What is the remainder when 5931 is divided by 711?
243
Calculate the remainder when 17488 is divided by 5818.
34
What is the remainder when 21384 is divided by 691?
654
What is the remainder when 5316 is divided by 105?
66
What is the remainder when 7736 is divided by 267?
260
Calculate the remainder when 1133735 is divided by 351.
5
What is the remainder when 22675 is divided by 11328?
19
What is the remainder when 13396 is divided by 13337?
59
Calculate the remainder when 564248 is divided by 50.
48
What is the remainder when 11442 is divided by 2857?
14
Calculate the remainder when 2391 is divided by 59.
31
Calculate the remainder when 1244547 is divided by 32751.
9
Calculate the remainder when 95874 is divided by 603.
600
What is the remainder when 641 is divided by 393?
248
What is the remainder when 70126 is divided by 16?
14
Calculate the remainder when 31209 is divided by 7795.
29
Calculate the remainder when 1282 is divided by 93.
73
Calculate the remainder when 458 is divided by 22.
18
What is the remainder when 38481 is divided by 12?
9
Calculate the remainder when 56117 is divided by 1059.
1049
What is the remainder when 35301 is divided by 45?
21
Calculate the remainder when 1320 is divided by 865.
455
Calculate the remainder when 2441 is divided by 2366.
75
Calculate the remainder when 161080 is divided by 27.
25
Calculate the remainder when 92034 is divided by 39.
33
What is the remainder when 15588 is divided by 30?
18
What is the remainder when 26215 is divided by 116?
115
What is the remainder when 2875 is divided by 277?
105
Calculate the remainder when 5827 is divided by 243.
238
What is the remainder when 2040252 is divided by 85?
82
What is the remainder when 62108 is divided by 306?
296
What is the remainder when 5085 is divided by 819?
171
Calculate the remainder when 82106 is divided by 547.
56
What is the remainder when 10798058 is divided by 2380?
2378
What is the remainder when 41314 is divided by 132?
130
Calculate the remainder when 31461 is divided by 33.
12
Calculate the remainder when 20740 is divided by 6904.
28
What is the remainder when 77146 is divided by 103?
102
Calculate the remainder when 59096 is divided by 395.
241
What is the remainder when 18683 is divided by 1697?
16
Calculate the remainder when 219887 is divided by 309.
188
What is the remainder when 8633 is divided by 8100?
533
What is the remainder when 24606 is divided by 174?
72
Calculate the remainder when 5018 is divided by 112.
90
Calculate the remainder when 531217 is divided by 11.
5
Calculate the remainder when 46278 is divided by 238.
106
Calculate the remainder when 1427 is divided by 465.
32
Calculate the remainder wh | {
"pile_set_name": "DM Mathematics"
} |
2*z(k).
2*k + 4
Let x(r) = -11*r**2 + 50*r - 5. Let a(q) = -6*q**2 + 25*q - 3. Calculate 7*a(w) - 4*x(w).
2*w**2 - 25*w - 1
Let w(m) = 9*m**2 - 2 - 10*m**2 + 0*m**2. Let l(d) = d. Give l(j) + w(j).
-j**2 + j - 2
Let d(p) = -30*p**2 + 20*p - 5. Let i(n) = 31*n**2 - 19*n + 7. Let h(z) = -4*d(z) - 5*i(z). Let x(a) = 5*a**2 - 2*a + 2. What is -2*h(r) - 15*x(r)?
-5*r**2
Let f = 62 - 61. Let c(j) = 0*j - 7*j - 4*j + 5*j**2 + 5*j + f. Let z(x) be the second derivative of 3*x**4/4 - 11*x**3/6 + x**2 + x. What is 7*c(b) - 4*z(b)?
-b**2 + 2*b - 1
Let h(k) = 6*k**2 - 5*k + 5. Let y(b) = 11*b - 98. Let s be y(9). Let r(a) = a**2 - a + 1. Give s*h(q) - 5*r(q).
q**2
Let g(v) = -20*v**3 + 14*v**2 + 74*v + 3. Let n(m) = 7*m**3 - 5*m**2 - 25*m - 1. Calculate 3*g(r) + 8*n(r).
-4*r**3 + 2*r**2 + 22*r + 1
Let j(l) = 16*l**3 + 10*l**2 + 22*l - 4. Let x(r) = -7*r**3 - 5*r**2 - 11*r + 2. Give -4*j(b) - 9*x(b).
-b**3 + 5*b**2 + 11*b - 2
Let j(f) = 7*f**2 - 8*f. Let y be j(4). Let w = y + -47. Let v(g) = 5*g. Let u(a) = -a. Calculate w*u(r) + 6*v(r).
-3*r
Let p(n) = -9*n + 5. Let u(v) = -v**3 - 18*v**2 - 57*v - 10. Let r be u(-14). Let x(k) = 19*k - 11. Determine r*x(q) + 9*p(q).
-5*q + 1
Let v(i) = -i**2 - 188*i + 8. Let p(h) = -2*h**2 - 187*h + 11. Determine -3*p(n) + 4*v(n).
2*n**2 - 191*n - 1
Let s(n) be the first derivative of 125*n**2/2 + 55*n + 39. Let i(y) = 9*y + 4. Calculate -55*i(h) + 4*s(h).
5*h
Let p(s) = s**2 + s - 1. Let x(w) = -12*w**2 - 11*w + 12. Suppose -5*l + 12*l = 294. Let q = -64 + l. Calculate q*p(y) - 2*x(y).
2*y**2 - 2
Let d(x) = 6*x + 43. Let a(l) = 3*l + 21. Determine -7*a(n) + 3*d(n).
-3*n - 18
Let p(r) = -37*r - 826. Let w(s) = -21*s - 414. What is -4*p(l) + 7*w(l)?
l + 406
Let o be (-31 + 28)/(1/(1*-1)). Let k(l) = 10*l + 3 - o*l - 2 - 5*l. Let q(x) = -x. Calculate -k(p) - 4*q(p).
2*p - 1
Let p(v) = 9*v**2 - 35*v + 4. Let l(b) = 14*b**2 - 52*b + 6. Give -5*l(i) + 8*p(i).
2*i**2 - 20*i + 2
Let h(i) = -8*i**3 - 3*i**2 + i + 6. Let n(a) = a**3 + 2. Give -h(m) + 3*n(m).
11*m**3 + 3*m**2 - m
Let k(h) = 8*h**2 + 5*h - 3. Let s(w) = -23*w**2 - 15*w + 9. Determine 17*k(x) + 6*s(x).
-2*x**2 - 5*x + 3
Let s(g) = -g + 12. Let a be s(15). Let w(p) be the second derivative of p**3/3 - p**2 - 9*p. Let k(b) = 3*b - 2. Give a*k(c) + 4*w(c).
-c - 2
Let p(i) = 3*i - 16. Let z(u) = 4*u - 15. Determine 2*p(g) - 3*z(g).
-6*g + 13
Let j(f) = 2*f - 7. Let h(r) = r - 6. Let q = -105 + 104. Let m be (1 - q) + -6 + 1. Determine m*h(y) + 2*j(y).
y + 4
Let q(o) = -7*o**2 + 5*o. Let r(n) = 3*n**2 + 2. Let d(s) be the second derivative of -s**3/6 - s**2/2 + 27*s. Let t(l) = 2*d(l) + r(l). Give 2*q(f) + 5*t(f).
f**2
Let l(v) = 2*v + 167. Let j(i) = -3*i - 252. Determine 5*j(h) + 8*l(h).
h + 76
Let c(b) = -13*b - 405. Let m(r) = 7*r + 203. Give 6*c(o) + 11*m(o).
-o - 197
Let c(b) be the second derivative of b**3/6 + b**2/2 - 2*b. Let u(j) = j**2 - 3*j - 3. Let g = 79 - 80. What is g*u(a) - 3*c(a)?
-a**2
Let y(f) = -2*f**2 + 4. Let x(b) = b**2 - 8. Let h be x(-4). Suppose h = 7*c - 3*c. Let a(l) = l**3 - 6*l**2 + 13. Give c*a(v) - 7*y(v).
2*v**3 + 2*v**2 - 2
Let o(m) be the first derivative of 5*m**3/3 - 2*m**2 + 3*m + 3. Let s(x) = 9*x**2 - 7*x + 5. Calculate 5*o(g) - 3*s(g).
-2*g**2 + g
Let q = 2 + 6. Let i(g) = g**2 - 11*g + 12. Let v be i(q). Let t(x) = 10*x. Let r(l) = -l. Calculate v*r(f) - t(f).
2*f
Let a(k) = -388*k**2 - 10*k. Let l(u) = 59365*u**2 + 1532*u. Determine 766*a(n) + 5*l(n).
-383*n**2
Suppose v + 17 - 22 = 0. Let l be 2/v*(7/1 + -12). Let z(o) = -o**3 - o**2 + o + 2. Let w(u) = 3*u**3 + 4*u**2 - 4*u - 7. Calculate l*w(r) - 7*z(r).
r**3 - r**2 + r
Let c(a) = 9*a - 6. Let p(v) be the first derivative of -4*v**2 + 5*v + 11. Let z(s) = -s**2 - 4*s + 49. Let j be z(-9). Calculate j*c(q) + 5*p(q).
-4*q + 1
Let k(q) = 3*q + 5. Let c(p) = -5*p - 8. Let v(i) = i**2 - i + 6. Let o be v(0). Let u = 54 + -44. Let m be o/u - (-28)/(-5). Calculate m*c(n) - 8*k(n).
n
Let x(p) = 20*p**3 + 4*p**2 + 20*p - 17. Let i(o) = 9*o**3 + 2*o**2 + 10*o - 8. Determine 7*i(a) - 3*x(a).
3*a**3 + 2*a**2 + 10*a - 5
Let m(n) = 21*n - 3. Let l(s) = -21*s + 3. Calculate 4*l(i) + 5*m(i).
21*i - 3
Let n = -2 + 8. Let z(f) = n*f - 4 - 4 - 3*f + 4. Suppose b + 0 = 5*g - 7, 4*b = -4*g + 20. Let l(v) = 1. Determine g*l(u) + z(u).
3*u - 2
Let g(c) = 3*c - 5. Suppose -4*s = -o + 3*o + 14, -4*s - 19 = 3*o. Let z(x) = -6*x + 9. Give o*g(k) - 3*z(k).
3*k - 2
Let k(m) = -12*m - 7. Let l(g) = -25*g - 15. Suppose 0 = 3*u - 2*x + 41, 2 = 4*u + 2*x + 52. Give u*k(n) + 6*l(n).
6*n + 1
Let q(f) = -f. Let n be 2485/20 + (6/2)/(-12). Suppose 100 - n = 3*u. Let p(i) = -6*i - 2. Determine u*q(o) + p(o).
2*o - 2
Let b(o) = -o. Let k(d) = 3*d. Let m(u) = -12*b(u) - 3*k(u). Let a(y) = 95 - 246 + 80 + 2*y + 71. What is -3*a(w) + 4*m(w)?
6*w
Let w(h) = 20679*h**2 - 1130*h + 565. Let s(i) = 110*i**2 - 6*i + 3. Calculate -565*s(q) + 3*w(q).
-113*q**2
Let d(h) = 2*h**3 - 4*h**2 - h + 4. Suppose -i - 12 = r - 6, 0 = 3*i + 2*r + 16. Let t(f) = -3*f**3 + 9*f**2 + 2*f - 9. What is i*t(q) - 9*d(q)?
-6*q**3 + q
Let y(r) = 6. Let s(q) = 20*q**2 + 2*q + 13. Give s(p) - 2*y(p).
20*p**2 + 2*p + 1
Let o(y) = 10*y + 15. Suppose -88 = 5*c - 123. Let b(i) = 3*i + 5. What is c*b(l) - 2*o(l)?
l + 5
Let q(m) = 3*m**3 + 6*m**2 + 3*m - 6. Let c(u) = -u**2 + 1. Suppose -3*s + 16 = -t, 3*t + t = -3*s + 26. Determine s*c(h) + q(h).
3*h**3 + 3*h
Let w(z) = 5*z**3 - z**2 - 7*z + 17. Let x(i) = -9*i**3 + 2*i**2 + 13*i - 34. Determine 11*w(y) + 6*x(y).
y**3 + y**2 + y - 17
Let y(n) = 2*n**3 - n - 1. Let g(t) = 105*t**3 + 14*t + 14. What is 7*g(w) + 98*y(w)?
931*w**3
Let t(j) = -2*j + 1. Let a(d) = 5*d - 2. Suppose -5*f + 6 + 29 = -5*o, -2*f - 14 = 5*o. Determine f*a(b) + 8*t(b).
-b + 2
Let j(v) = -2*v - 6. Suppose 2 = 4*z - 10. Let k be (2/(-6))/(1/z). Let r(f) = -2 + 13 + 7 - 19. Give k*j(o) + 5*r(o).
2*o + 1
Let t(d) = -28*d**3 + 16*d**2 - 10*d + 16. Let a(j) = 9*j**3 - 5*j**2 + 3*j - 5. Let n be 150/6 - (-9 - -18). Determine n*a(g) + 5*t(g).
4*g**3 - 2*g
Let b(s) = 7*s + 2*s**3 - 699*s**2 + 2*s**3 + 707*s**2 + s + 11*s**3. Let i = 12 + -20. Let q(a) = -5*a**3 - 3*a**2 - 3*a. Give i*q(g) - 3*b(g).
-5*g**3
Let r(m) = 2*m. Let o(g) = 14*g - 8. Let j(c) = -9*c + 5. Suppose -h = -2*z - 9, -2*z - 3 = 1. Let f(i) = h*o(i) + 8*j(i). Give -4*f(n) - 3*r(n).
2*n
Let q(p) = -p**3 - 1. Let d be (-4 + 5)*(-8 - -2). Let s(i) = i**3 + i**2 + 6. Give d*q(o) - s(o).
5*o**3 - o**2
Let o(l) = -172*l**3 - l**2 - 8*l + 4. Let f(n) = -172*n**3 - n**2 - 10*n + 5. Give 4*f(k) - 5*o(k).
172*k**3 + k**2
Let a(g) be the first derivative of -2*g**3/3 - g**2 - 2*g + 2. Let t(l) = 11*l + 2*l**2 + 12*l**2 + 8*l**2 + 10 + 4*l**2 - 16*l**2. Calculate 11*a(f) + 2*t(f).
-2*f**2 - 2
Let z be (-4 - -2)*(-22)/(-4). Let n(x) = -30 - 8*x + 13 + 6. Let w(d) = 3*d + 4. Let l = 30 - 34. Give l*n(s) + z*w(s).
-s
Let h(r) be the second derivative of -r**3 + 9*r**2 + 100*r + 2. Let t(w) = -2*w + 6. What is 3*h(q) - 8*t(q)?
-2*q + 6
Let q(f) = -8*f**3 - 3*f**2 - f - 3. Let b(d) be the first derivative of -d**4/4 - d**3/3 - d + 257. Calculate 3*b(h) - q(h).
5*h**3 + h
Let j(i) = -3*i**2 - 7*i - 13. Suppose -28*d - 28 = -24*d. Let u(o) = -o**2 - 2*o - 4. Determine d*u(g) + 2*j(g).
g**2 + 2
Suppose -39*o + 175 = 97. Let q(j) be the third derivative of -j**6/120 + j**5/15 - j**4/12 - 2*j**2. Let k(z) = z**3 - 4*z**2 + 3*z. What is o*k(a) + 3*q(a)?
-a**3 + 4*a**2
Let f(p) = -3*p**3 - 4*p**2 + 29*p - 2. Let s(d) = -9*d**3 - 9*d**2 + 59*d - 5. What is 5*f(y) - 2*s(y)?
3*y**3 - 2*y**2 + 27*y
Let h(d) = d**3. Let v(j) = j**2 - 49*j + 99. Let p be v(47). Let c(b) = -6*b**3 - b**2 + 3*b. Determine p*h(y) + c(y).
-y**3 - y**2 + 3*y
Suppose 4*u = -0*u + 8. Suppose 6 = 3*p - 3. Let x(t) = 1 + p - u + 1. Let o(r) = r + 5. Give -3*o(v) + 5*x(v).
-3*v
Let b(s) = -9*s**2 + 13*s + 4. Let m(w) = -19*w**2 + 28*w + 9. Determine -9*b(v) + 4*m(v).
5*v**2 - 5*v
Let g(l) = -4*l - 18*l**2 + 30*l**2 - 10 - 11*l**2. Let w be g(6). Let h(v) = -5*v + 13. Let c(o) = -o + 3. Calculate w*h(j) - 9*c(j).
-j - 1
Let i(r) = 6*r**2 - 3*r + 63. Let m(v) = 5*v**2 - 2*v + 62. Calculate -4*i(g) + 5*m(g).
g**2 + 2*g + 58
Let z(o) = -o**2 + o - 3. Let s(k) = 24*k**2 - 7*k + 5. Let p(l) = -s(l) - 3*z(l). Let t(y) = -399*y* | {
"pile_set_name": "DM Mathematics"
} |
z(w)).
15*w**2
Let i(t) = -t**2. Let s(f) = -191*f. Calculate s(i(a)).
191*a**2
Let c(q) = -2*q**2. Let x(p) = -12*p**2 - 4*p**2 - 27*p**2 + 0*p**2. Give x(c(g)).
-172*g**4
Let r(s) = -s**2. Let w(i) = -i**3 - 7*i**2 + 8*i + 3. Let b be w(-8). Let m be 7*(b + -1) - -3. Let t(a) = 7*a**2 - m*a + 17*a. Give t(r(f)).
7*f**4
Let r(k) = -4*k**2. Let u(f) be the second derivative of 1/6*f**3 - 2*f + 0*f**2 + 0. What is r(u(n))?
-4*n**2
Let s(u) = -70*u. Let d(h) = 49*h. Calculate d(s(v)).
-3430*v
Let r(x) = -3*x**2 + 7. Let b(c) = c**2 - 2. Let z(a) = -7*b(a) - 2*r(a). Let y(j) = 70*j**2. What is z(y(o))?
-4900*o**4
Let q(f) be the second derivative of f**6/360 - f**4/6 - 2*f. Let n(o) be the third derivative of q(o). Let a(h) = 0*h**2 - h**2 - h**2. Calculate a(n(d)).
-8*d**2
Suppose 10 = a + 1. Let h = 12 - a. Let y(l) = -l - 2*l + h*l + 2*l**2. Let w(s) = 2*s. Give w(y(k)).
4*k**2
Let v(j) = 11*j. Let b(r) = 7*r. Let g(x) = 8*b(x) - 5*v(x). Let k(y) = -14*y - 6. Let q(w) = w + 1. Let d(o) = k(o) + 6*q(o). What is g(d(n))?
-8*n
Let s(q) = -q**2. Let k(x) = 3*x + 1. Let y(l) = -61*l - 1. Let c(t) = 2*k(t) + y(t). Give c(s(n)).
55*n**2 + 1
Let m(t) be the second derivative of -t**3/6 - t. Let s be (-4)/12 - (-1)/3. Let x(i) = i**2 + i**2 + s*i**2. What is x(m(q))?
2*q**2
Let d(s) = 2*s. Let z(w) = -117*w + 16. Give z(d(f)).
-234*f + 16
Let k(a) = -1. Let i(z) = 5*z**2 - 1. Let v(x) = -i(x) + 6*k(x). Let s(u) be the first derivative of v(u). Let n(j) = j**2. Determine n(s(l)).
100*l**2
Let r(b) = -26*b. Let c(j) = -2*j + 2. Let y(d) = -10*d + 11. Let k(s) = 11*c(s) - 2*y(s). Determine k(r(u)).
52*u
Let n(o) = -11*o**2. Let u(p) = 5*p**2. Let j(s) = 6*n(s) + 13*u(s). Let v = 1 + 1. Let b(r) = v - r - 2. Determine j(b(w)).
-w**2
Let x(u) = 1005 - 4*u**2 - 1005. Let m(l) be the third derivative of l**4/12 + l**2. Calculate x(m(p)).
-16*p**2
Let w(f) = 2*f**2. Let z(m) be the second derivative of m**3/6 - 6*m. Give z(w(v)).
2*v**2
Let q(v) = v. Let k(x) = 28*x - 18*x - 19*x. Determine q(k(p)).
-9*p
Let c(h) = h**2. Let u(l) = 1059*l. Calculate c(u(p)).
1121481*p**2
Let n(v) = 2*v. Let a(b) be the second derivative of b**7/1260 - b**4/12 + 2*b. Let r(o) be the third derivative of a(o). Give r(n(f)).
8*f**2
Let o(z) = 2*z + 2*z - 3*z. Let c(q) = 5*q + 12. Let j(y) = -9*y - 22. Let a(f) = -11*c(f) - 6*j(f). What is o(a(b))?
-b
Let p(q) = -33*q. Let c(k) = 2*k**2 + 387*k. Determine c(p(u)).
2178*u**2 - 12771*u
Let l(b) = 96*b**2. Let c(u) = u**2. What is l(c(g))?
96*g**4
Let u(s) = -2*s**2. Let i(n) = -n + 7. Suppose 2*f + 8 + 20 = 0. Let c(t) = 1. Let y(v) = f*c(v) + 2*i(v). Determine u(y(o)).
-8*o**2
Let u be 0/1 + 3 + -1. Let k(g) = -g**2 + 2 - u + 0*g**2. Let p(o) = 6*o. Calculate k(p(q)).
-36*q**2
Let u(y) be the third derivative of -3*y**2 + 0*y + 0 - 1/12*y**4 + 0*y**3. Let d(s) = -s**2. What is u(d(r))?
2*r**2
Let o(n) = -45*n + 16. Let d(v) = -v. Give d(o(k)).
45*k - 16
Let o(j) be the third derivative of 7*j**5/30 - 10*j**2. Let r(d) = d. Calculate o(r(z)).
14*z**2
Let o(n) = -n**2. Let q(z) = 5*z + 890. Determine q(o(y)).
-5*y**2 + 890
Let v(b) = -17*b - 23*b - 22*b + 63*b. Let x(n) = -46*n**2. Calculate x(v(f)).
-46*f**2
Let l(y) = 5*y**2 - 3. Let o(d) = -d**2 + 1. Let c(s) = -l(s) - 3*o(s). Let x(g) = g**2. Determine x(c(a)).
4*a**4
Let k(l) = 66*l - 66*l - 24*l**2. Let c(n) = -2*n**2. Give c(k(y)).
-1152*y**4
Let f = 1 - -2. Let b be (2 - f)/((-1)/3). Let r(h) = -b*h**2 + 0*h**2 + 2*h**2. Let m(o) = 3*o**2. What is m(r(z))?
3*z**4
Let s(y) = 2*y**2. Let q(b) be the third derivative of -b**6/360 - 5*b**4/24 - 4*b**2. Let l(f) be the second derivative of q(f). Determine l(s(v)).
-4*v**2
Let r(y) = y + 0*y + y + 0*y. Let v(d) = -3*d. What is r(v(z))?
-6*z
Let u(x) be the first derivative of 9*x**2 - 17. Let y(g) = -3*g**2. What is u(y(t))?
-54*t**2
Let f(t) = 6*t**2 + 13*t - 13*t. Let m(x) = x. Give f(m(z)).
6*z**2
Let b(p) = -14*p**2. Let v(x) = -8*x. Determine b(v(j)).
-896*j**2
Let n(j) be the second derivative of -j**3/6 + j. Let v(q) = 10*q. Suppose i - 30 = 3*i. Let b(s) = -39*s. Let k(w) = i*v(w) - 4*b(w). Determine k(n(g)).
-6*g
Let o(f) = 5*f. Let k(w) = 4*w**2 - 5*w + 5. Let s(u) = 2*u**2 - 2*u + 2. Let q(c) = -2*k(c) + 5*s(c). Determine o(q(i)).
10*i**2
Let d(y) = -78 + 2*y**2 - 6*y**2 + 78. Let x(l) = 4*l**2. Give d(x(z)).
-64*z**4
Let q(y) = y**2. Let w(p) be the first derivative of -33*p**2/2 - 30. Give q(w(z)).
1089*z**2
Let s(x) = 104*x. Let o(n) = 2*n**2. What is s(o(k))?
208*k**2
Let s(r) = -2*r**2. Let p(n) = -11*n**3 - n**2 - n + 1. Let z be p(1). Let t = 22 + z. Let a(j) = t*j - 10*j - 2*j**2. What is a(s(x))?
-8*x**4
Let t(q) = -4*q. Let a(l) = -20*l. Let s(k) = 3*a(k) - 16*t(k). Let o(z) = 3*z. Give o(s(i)).
12*i
Suppose c - 20 = -4*c. Let d(x) = -4 + c - x. Let b(z) = z**2. Give d(b(p)).
-p**2
Let p(w) be the first derivative of -3*w**2/2 - 1. Let o(k) be the second derivative of k**3/3 - 12*k. Determine o(p(v)).
-6*v
Let d(o) = -7*o**2. Let z(y) = -15*y**2. Let c(v) = -10*d(v) + 6*z(v). Let x(f) = -3*f**2. What is x(c(q))?
-1200*q**4
Let d(q) = -6*q**2. Let f(y) = -239*y. Give d(f(m)).
-342726*m**2
Let a(l) = l + 1. Let u(p) = -8*p - 5. Let v(z) = 5*a(z) + u(z). Let d(x) = 4*x. What is v(d(j))?
-12*j
Let i(c) = 2*c**2. Let r(z) = -3*z + 5. What is r(i(n))?
-6*n**2 + 5
Let j(k) = -k - 12. Let z be j(-7). Let b = z - -7. Let l(r) = -4*r**2 + 3*r**2 + 2*r**b + r**2. Let g(t) = -2*t. Determine l(g(i)).
8*i**2
Let r(j) = -j**2. Let x = 22 - 12. Let n = x - 7. Let f(o) = -6 + n*o**2 + 6. Determine r(f(g)).
-9*g**4
Let b(o) = 8*o + 6. Let d(q) = 17*q + 13. Let m(r) = 13*b(r) - 6*d(r). Let u(v) = -12*v**2. Calculate m(u(s)).
-24*s**2
Let o(s) = 88*s**2. Let f(c) = -2*c**2. Calculate o(f(w)).
352*w**4
Let w(v) = 40*v**2 + 38*v**2 - 46*v**2. Let q(o) = o. Give q(w(b)).
32*b**2
Let j(g) = 3*g**2. Let u(m) = -4*m**2 - 9*m. Give u(j(p)).
-36*p**4 - 27*p**2
Let p(g) = -3*g. Suppose 0*y = -4*y + 20. Let x(q) = -y*q**2 - 3*q - 2*q + 5*q. Calculate x(p(v)).
-45*v**2
Let i(p) = -5*p. Let v(j) = 297*j**2. Give v(i(a)).
7425*a**2
Let n(z) be the first derivative of -z**2/2 + 1. Let f(s) = -7 + 8 - 2*s**2 - 1. Give f(n(b)).
-2*b**2
Let g(f) be the second derivative of -f**3/3 - 5*f. Let h(d) = -d. Give h(g(t)).
2*t
Let f(t) = -72*t**2. Let b(w) = -29*w. Calculate b(f(q)).
2088*q**2
Let l(v) = 0 - v**2 + 0. Let j(g) = -g + 2. Let i(m) = -m - 1. Suppose 0 = -3*t - 2*t - b + 10, 5*b - 28 = -3*t. Let h(k) = t*j(k) + 2*i(k). Give h(l(o)).
3*o**2
Let c(s) = -s**2. Let k(j) = -j**2. Let v(p) = 3*p**2. Let r(o) = -9*k(o) - v(o). Calculate r(c(g)).
6*g**4
Let a(k) be the first derivative of -4*k**3/3 + 29. Let d(j) = -13*j**2. What is a(d(s))?
-676*s**4
Let t = -7 - -9. Let f(a) be the second derivative of 0*a**2 + 0*a**3 + t*a + 1/12*a**4 + 0. Let u(r) = -6*r**2. Calculate u(f(j)).
-6*j**4
Let a(m) = 15*m**2. Let o(h) = -3*h - 3. Determine o(a(l)).
-45*l**2 - 3
Suppose i = 3*i - 4. Suppose -1 + i = x. Let g(h) = -2*h + 1 - x. Let k(l) = -3*l. Calculate k(g(p)).
6*p
Let f(x) = 2*x. Let o(t) = -6*t**2 + 2. Calculate f(o(v)).
-12*v**2 + 4
Let f(z) = -76*z**2 + 2*z. Let o(i) = -9*i. Give o(f(g)).
684*g**2 - 18*g
Let l(z) = 6*z**2. Let u(n) = 1. Let f(s) = -5*s**2 + 3. Let w(i) = -f(i) + 3*u(i). Give l(w(j)).
150*j**4
Let m(c) = 3*c**2 - 8*c. Let q(t) = 2*t**2 - 5*t. Let o(x) = -5*m(x) + 8*q(x). Let v(a) = -21*a**2. Calculate v(o(f)).
-21*f**4
Let n(t) = -2*t. Let l(o) = -3*o. Give n(l(q)).
6*q
Let i(v) = 3*v**2. Let z(f) be the first derivative of -2*f**2 - 9. Calculate z(i(r)).
-12*r**2
Let i(n) = -13*n**2 - 25*n**2 + 10*n**2 - 30*n**2. Let l(g) = 2*g**2. Give l(i(u)).
6728*u**4
Let p(z) = -3*z**2. Let d(t) be the second derivative of -t**6/180 + 2*t**3/3 - 4*t. Let l(y) be the second derivative of d(y). Give l(p(o)).
-18*o**4
Let u(g) be the second derivative of -g**4/3 - 10*g. Let z(j) = j**2. Determine z(u(v)).
16*v**4
Let p = 4 - 3. Suppose n + y + p = 0, 2*y = n - 2*y - 14. Let g(i) = 2*i**2 - 3*i**n + 2*i**2. Let t(l) = 2*l**2. Give t(g(z)).
2*z**4
Let y(q) = 18*q. Let o(p) be the third derivative of p**5/30 + p**2. Give o(y(v)).
648*v**2
Let x(q) = -2*q**2. Let o(l) = 11270*l. What is o(x(i))?
-22540*i**2
Let u(i) = -4*i**2 + 3*i + 3. Let c(m | {
"pile_set_name": "DM Mathematics"
} |
b) -69/5 (c) -0.3 (d) -1
d
Which is the closest to -1/2? (a) 160 (b) 4 (c) -2 (d) -3/4
d
What is the closest to 11 in 58, -4, 1/4, 0.3?
0.3
Which is the nearest to -4/3? (a) 0.2 (b) -3 (c) 84
a
What is the closest to 1/5 in 1, 198, 0.07, -1?
0.07
What is the nearest to -17 in 4, -2, -7, 3?
-7
What is the closest to 7/8 in -10/3, 0.3, -1/14?
0.3
What is the closest to -2/7 in -7, -1, -0.6364, -0.4?
-0.4
What is the nearest to 1.6 in 5, 9.8, 0?
0
Which is the nearest to 2? (a) -2 (b) 1 (c) 41 (d) 5 (e) -1/9
b
Which is the closest to 1/8? (a) -10/253 (b) -3/7 (c) -1
a
What is the nearest to 0 in 3, 12/11, -127, 0.3?
0.3
What is the nearest to -70 in 6/115, -0.05, -4?
-4
What is the closest to 1 in -2, -30, -3/2, -9/5?
-3/2
Which is the nearest to -11/10? (a) 2/7 (b) -3/2 (c) 2 (d) -11
b
What is the nearest to 3 in 2.3, 0.08, 0.01, 2/3?
2.3
Which is the nearest to 0.73? (a) 2 (b) 2/9 (c) 3/20
b
Which is the closest to -113? (a) 8 (b) -1/2 (c) 3/2 (d) -1/25
b
Which is the nearest to -1? (a) -828 (b) -4 (c) 92/7
b
Which is the closest to 0? (a) 3 (b) 68299 (c) 3/5 (d) -0.1
d
What is the nearest to -2 in -2/9, 37, -0.5, 4, -11?
-0.5
What is the nearest to 4 in -4, 5/6, -0.4, 0.4?
5/6
What is the closest to -1 in -3, -4/7, -1038, -0.5?
-4/7
Which is the nearest to -2/5? (a) -556 (b) 2 (c) -0.7
c
What is the closest to -0.02 in -2/7, -11, 135?
-2/7
Which is the nearest to 0.04? (a) -0.04 (b) -1 (c) 0.5 (d) 155
a
Which is the nearest to -3/5? (a) -2 (b) 0.5 (c) -1090 (d) 1 (e) 3
b
Which is the closest to 400? (a) 0.1 (b) 5/4 (c) -0.2 (d) -0.3
b
What is the nearest to -1 in 0.6, -1, 148, 0.1, -2?
-1
What is the nearest to -1 in -0.06, 4, -4, 2/217, -4/7?
-4/7
What is the nearest to 0 in -0.3, -499, -11?
-0.3
What is the closest to -1.3 in 0.9, 5/2, -6?
0.9
What is the closest to -43802 in 2/5, 3, 0, 4?
0
Which is the nearest to -6? (a) -2 (b) -2/3 (c) 1430
a
Which is the closest to -26? (a) -55 (b) 0.3 (c) -2/15
c
Which is the closest to 2? (a) -2 (b) -24 (c) -0.03 (d) -13
c
What is the nearest to -63 in -6, -0.3, 2?
-6
Which is the nearest to 0.316? (a) -5/2 (b) -4 (c) 2 (d) 8
c
Which is the nearest to 0.2565? (a) 2/5 (b) 6/11 (c) -3
a
What is the nearest to -5 in 4/9, 29.6, 3/8?
3/8
What is the closest to 0.1 in -6, -5, -7137/2?
-5
Which is the nearest to 2? (a) 2/9 (b) -2 (c) -6 (d) -16
a
Which is the nearest to 292/5? (a) 0 (b) -4 (c) -19 (d) 3
d
Which is the nearest to 2.46? (a) 17 (b) -4/5 (c) 1
c
Which is the nearest to 2? (a) 2 (b) 2/23 (c) -119 (d) 0 (e) 1
a
What is the nearest to -1 in -1, 3, 254/3?
-1
Which is the closest to -1? (a) 3 (b) -4/3 (c) 3/11 (d) -0.3 (e) 220/9
b
Which is the nearest to 1/4? (a) -1/1418 (b) 0.046 (c) 1
b
What is the closest to -2/17 in -2/3, 3, 4?
-2/3
Which is the closest to 0.05? (a) 434 (b) -3.8 (c) 0.2
c
Which is the closest to 6? (a) -0.1 (b) 8 (c) -15 (d) 3/5 (e) -3
b
What is the closest to 8/7 in -2/3, 112/3, 0.034?
0.034
Which is the nearest to -1/3? (a) -1 (b) -0.4 (c) 5 (d) 0.1 (e) -980
b
What is the nearest to 0 in 5, 2/33, 1/3?
2/33
Which is the nearest to 0.1? (a) -20 (b) -246 (c) 4
c
Which is the nearest to 1? (a) -2 (b) -20.6 (c) -1 (d) 1/3 (e) -0.1
d
Which is the nearest to 2/3? (a) -2 (b) 3/4 (c) 1939
b
What is the closest to -8 in -3.3, -2, -1/4, -3?
-3.3
What is the closest to 0.1 in -35.2, -14, -1?
-1
Which is the closest to 1? (a) -8 (b) 3/35 (c) -4 (d) -0.3
b
What is the nearest to -1 in 13, -5, -46.3, 1?
1
What is the nearest to 3684 in 5, 0.54, -1?
5
What is the nearest to 12212 in -0.1, -1/6, 1/5?
1/5
Which is the closest to -0.1? (a) -0.4 (b) 15 (c) -5/2 (d) -0.1 (e) -2
d
Which is the closest to 0.2? (a) 0.7 (b) 800 (c) 2
a
What is the closest to 1/4 in 2, -14, 3/277, -1/9?
3/277
Which is the nearest to 10? (a) 5 (b) 2/17 (c) -3 (d) 0.5
a
Which is the nearest to 0.4? (a) 68 (b) 2/7 (c) 0.2 (d) 1.1 (e) 4
b
Which is the nearest to 4? (a) -2/9 (b) 33 (c) -2/7 (d) -16
a
Which is the closest to -14? (a) -23 (b) -0.1 (c) -5/4 (d) 4
a
Which is the closest to -4/879? (a) -1/4 (b) -5 (c) -1
a
What is the closest to 622 in 1/7, 2/7, 65, -1/8?
65
Which is the nearest to -5/4? (a) 0.4 (b) 332 (c) -4 (d) 3/4
a
What is the closest to 2/269 in 1/30, 17, 0.5, 2/3, -0.5?
1/30
Which is the nearest to 5? (a) 7 (b) -3 (c) 0
a
Which is the closest to 1/7? (a) -6 (b) 0.2 (c) -37 (d) 0.3 (e) 0
b
What is the closest to 0 in 2/9, -5, 6/209, 4/5?
6/209
What is the nearest to -1/7 in 3473, 7, 2/13?
2/13
What is the nearest to -2/3 in -3/2107, 0.5, -3?
-3/2107
Which is the nearest to 651? (a) -5 (b) 13 (c) -2
b
What is the nearest to 0.1 in -31/66, 1/8, -2/11, -2, -1/7?
1/8
What is the closest to -8946 in 0.3, -1/4, -8, 2/9, 0.5?
-8
Which is the closest to 0.9? (a) 2/9 (b) 8 (c) -4/7 (d) -1/6 (e) 8/3
a
Which is the closest to 0.27? (a) 2/71 (b) 1 (c) -17
a
What is the closest to -1 in -1/9, -6/55, -187, 4?
-1/9
Which is the closest to 2/5? (a) -1 (b) -18 (c) 31 (d) 3
a
Which is the nearest to 2? (a) 0 (b) 9 (c) -0.3 (d) 2 (e) -16
d
What is the closest to 0.1 in 1/7697, -2/7, -4/7, 0?
1/7697
What is the nearest to 1/3 in -3/5, -3/4, -252, 0.03?
0.03
Which is the closest to -1/5? (a) -3/4 (b) 3314/3 (c) -1/4
c
What is the closest to -29 in 3/23, -1, -2?
-2
What is the closest to 1/8 in -3, -121/7, -4?
-3
What is the nearest to 24 in -594, -3, 0.4, -4?
0.4
Which is the closest to -1/4? (a) 0.05 (b) 4 (c) 5814 (d) -4
a
What is the closest to -1/7 in -5, -4.47, 3/7, -0.05?
-0.05
Which is the nearest to 3? (a) -1/7 (b) -1/20 (c) -0.5 (d) -19 (e) -4
b
Which is the closest to -2/5? (a) -1657 (b) 3 (c) 0.4 (d) 1
c
Which is the nearest to 9? (a) -0.06 (b) 5 (c) -2 (d) 4 (e) -122
b
Which is the nearest to -3/5? (a) 0.5 (b) 0.127 (c) 112 (d) -4/5
d
Which is the closest to 22? (a) 2/9 (b) 16 (c) 1/19
b
Which is the nearest to 1/7? (a) 0.107 (b) 23 (c) 3
a
Which is the nearest to 0.2? (a) -7 (b) -18/251 (c) 0
c
Which is the nearest to 1/142? (a) -0.7 (b) 0.3 (c) -1 (d) -0.2
d
Which is the nearest to 19? (a) -0.2 (b) 0.05 (c) 19/15
c
What is the nearest to -4/7 in 4, 10/9, -31?
10/9
Which is the nearest to 0? (a) 0.27 (b) -1 (c) -5 (d) -2/3
a
What is the nearest to 2 in -5/6, 0.59, -0.34?
0.59
What is the nearest to 39 in 2/7, 0, 890, -0.3?
2/7
Which is the closest to -4? (a) 10 (b) -1/5 (c) 3 (d) 2/7
b
Which is the closest to 4/7? (a) -4 (b) 3 (c) -3 (d) -6/149 (e) 0
e
What is the closest to -6 in -4, -1/3338, -1?
-4
Which is the nearest to -3? (a) -3 (b) 0 (c) -2 (d) 21
a
Which is the closest to -6? (a) -1/4 (b) -2 (c) 0.19 (d) -0.4 (e) 1/10
b
Which is the nearest to 53? (a) 1/4 (b) -2/23 (c) 1
c
What is the nearest to -1/4 in -10, 2/5, -103?
2/5
What is the closest to 0 in -1/4, 295.3, -3?
-1/4
What is the closest to -5.8 in 4/5, -2/15, -1/4, -1.8?
-1.8
What is the nearest to -0.0168 in 0.2, -1, -2.2?
0.2
What is the closest to -1.21 in -4, -2, 6, 5?
-2
Which is the closest to -2? (a) -0.02 (b) 4532 (c) 0.4 (d) 0.2
a
What is the closest to 1/5 in -11/3, 2, 1114?
2
Which is the nearest to 0.2266? (a) -5 (b) 4 (c) 0
c
What is the nearest to -3/14 in 0, 0.057, 1/2?
0
Which is the closest to 1? (a) 0.5 (b) 62 (c) -3 (d) -158
a
What is the closest to -1 in 1, 3, 0.3, -302?
0.3
Which is the closest to 2? (a) -22 (b) -0.5 (c) -8.7
b
Which is the closest to -11? (a) -4/3 (b) -2.3 (c) 27/4
b
Which is the nearest to -0.1? (a) -0.1 (b) -5 (c) 51 (d) 5 (e) -23
a
What is the nearest to -2 in -4/33, 2, 333?
-4/33
Which is the nearest to 12/11? (a) 0 (b) -808 (c) -0.5 (d) 0.4
d
Which is the nearest to 0? (a) -4 (b) -1.36 (c) 9
b
What is the closest to -392/11 in 0.3, -70, -0.4, 2/11?
-70
Which is the closest to 0.02? (a) 9 (b) -4 (c) -2/5 (d) -3
c
Which is the nearest to 5/7? (a) 2/23 (b) -16 (c) 4
a
Which is the nearest to -0.1? (a) 1/6 (b) 1 (c) 4 (d) -11/94
d
Which is the nearest to 17.3? (a) 23/5 (b) -3/32 (c) -2/23
a
What is the nearest to -1/4 in -124, -6/31, 2/5?
-6/31
Which is the closest to 2/27? (a) 1 (b) -5 (c) -120 (d) -6 (e) 0.3
e
What is | {
"pile_set_name": "DM Mathematics"
} |
d**4 - 12*d**4 - 5*d**2 - 6*d**i wrt d.
-432*d
Let w(o) = -659*o**2 + 456*o - 5. Let d(v) = v + 1. Let y(p) = 5*d(p) + w(p). What is the second derivative of y(h) wrt h?
-1318
Suppose -5*u = -o - 0*o - 24, -3*o = 3*u. What is the first derivative of 9*p**3 - u - 24*p**3 - 2*p**3 wrt p?
-51*p**2
What is the third derivative of 81*c**6 + 0*c**2 + 44*c**6 - 49*c**2 - 8*c**2 - 17*c**2 wrt c?
15000*c**3
Let z(l) be the third derivative of l**8/21 + 2*l**7/105 + 17*l**4/12 + 82*l**2. Find the second derivative of z(r) wrt r.
320*r**3 + 48*r**2
Let k(y) be the second derivative of -23*y**4/3 - 10*y**3 - y**2 - 242*y. What is the second derivative of k(x) wrt x?
-184
Let l(i) = -2*i**3 - 2*i**2 + i - 1. Let k be l(-2). Find the third derivative of -13*y**2 - 2*y + 2*y - 8*y**3 - k*y**3 wrt y.
-78
Suppose -3*g - 3*g + 24 = 0. Let q(w) be the third derivative of -g*w**2 - 5/24*w**4 + 1/2*w**3 + 0 + 0*w. Differentiate q(a) wrt a.
-5
Let o(k) be the second derivative of 7*k**7 - k**4/6 + 26*k**3/3 + 51*k. What is the third derivative of o(j) wrt j?
17640*j**2
Let m(w) be the first derivative of w**5/2 - w**2 - 2*w + 12. Let o(h) be the first derivative of m(h). What is the derivative of o(d) wrt d?
30*d**2
Let h(s) = s**2 - 2*s + 1. Let t be h(3). Suppose 0 = t*d + d. What is the second derivative of -2*i**3 + d*i - 3*i + i wrt i?
-12*i
Let n = 41 + -36. Find the second derivative of 11*z + 2*z - 18*z**n + 6*z - 9*z wrt z.
-360*z**3
Differentiate -27*s**4 + 5 + 16 - 6 - 134*s**4 wrt s.
-644*s**3
Let v(d) = 135*d**2 + d - 99. Let j(f) = -135*f**2 - f + 97. Let y(i) = 4*j(i) + 5*v(i). What is the second derivative of y(o) wrt o?
270
Let m = -149 + 295. Differentiate -146*k + 25 + m*k + 21*k**3 with respect to k.
63*k**2
Let m(q) be the third derivative of 0*q**3 - 7/60*q**6 + 0*q**5 - 7*q**2 + 0*q + 0 - 5/12*q**4. Find the second derivative of m(v) wrt v.
-84*v
Let p(d) = -516*d**3 + 705*d**2 + 5*d + 5. Let h(k) = 775*k**3 - 1057*k**2 - 7*k - 7. Let o(t) = 5*h(t) + 7*p(t). Find the third derivative of o(l) wrt l.
1578
Let b(r) be the second derivative of 0 - 13/10*r**5 - 15*r - 2*r**3 + 0*r**4 + 0*r**2. Find the second derivative of b(z) wrt z.
-156*z
Suppose 449 = 7*r + 127. Differentiate r*w**2 + 46*w**2 - 22*w**3 - 92*w**2 - 26 wrt w.
-66*w**2
Let y = 1880 - 1875. Let r(n) be the first derivative of 0*n + 0*n**2 - 4/3*n**3 + 5 - 1/2*n**6 + 0*n**y + 0*n**4. What is the third derivative of r(v) wrt v?
-180*v**2
Suppose 2*z + 371 = 9*z. Differentiate -66*g - 20 + z*g + 5 with respect to g.
-13
Suppose 2*w + 1 = -0*w - u, 4*w - 2*u - 18 = 0. What is the third derivative of -181 + 181 + 2*n**4 + 4*n**w wrt n?
48*n
Let q(i) be the third derivative of 107*i**6/120 - i**5/30 - 9*i**4/8 - 11*i**2 - 2*i. Find the third derivative of q(l) wrt l.
642
Suppose 30 = f + 6. Suppose 0 = -5*c + 3*m + f, 2*m + 10 = 3*c - 2*m. Find the second derivative of 6*l + c*l**5 + 4*l**5 - 3*l**5 wrt l.
140*l**3
Let j(k) be the third derivative of 31*k**8/28 - k**4/24 - 4*k**3 + 2*k**2 - 408. What is the second derivative of j(r) wrt r?
7440*r**3
Let t(c) = c**5 - 2*c**4 - c**3 - 1. Let x(u) = -284*u**5 - 6*u**4 - 3*u**3 - 206*u**2 - 3. Let h(k) = -3*t(k) + x(k). Find the third derivative of h(y) wrt y.
-17220*y**2
Let f(j) = -254*j**3 + 5*j**2 - 5*j + 114. Let l(d) = 254*d**3 - 4*d**2 + 4*d - 114. Let c(p) = 4*f(p) + 5*l(p). Differentiate c(x) wrt x.
762*x**2
Let r(y) be the first derivative of -27 + 0*y - 9/2*y**2 - 8*y**4 + 0*y**3. Find the second derivative of r(z) wrt z.
-192*z
What is the second derivative of -6 + 2 + 589*a**5 - 226*a + 3 wrt a?
11780*a**3
Let a(o) be the first derivative of 31*o + 13 - 15/2*o**2. What is the first derivative of a(l) wrt l?
-15
Let h(p) = -p - 1. Let x(m) = 6*m**2 - 4*m + 19. Let l(f) = -f**2. Let n(v) = -4*l(v) - x(v). Let j(u) = -4*h(u) - n(u). Differentiate j(i) with respect to i.
4*i
Let s(l) = l**3 - 14*l**2 + 15*l - 15. Let k be s(13). What is the second derivative of a + k*a**4 - 7*a - 5*a wrt a?
132*a**2
Let p be (-2)/4 - (-25)/10. Suppose -b - 3*b + 8 = p*k, -b + 5*k + 24 = 0. Differentiate -b*m**3 + 4*m**3 + 0 + 2*m**4 - 2 wrt m.
8*m**3
Let c(r) = r**3 + r**2 + r + 13. Let s be c(0). Find the second derivative of s*p + 5*p**5 - 7*p - p wrt p.
100*p**3
Let x be 630/150 + (4/10)/(-2). Find the third derivative of 12*n**2 + 0 + 33*n**3 - x*n**2 + 0 wrt n.
198
Find the first derivative of -26 - 57*r**4 - 161*r**2 + 161*r**2 wrt r.
-228*r**3
Let n = -718 - -720. Let z(v) be the first derivative of -2 + 7/3*v**3 + 0*v**n + 6*v. Differentiate z(m) with respect to m.
14*m
Let l(j) be the second derivative of 25*j**7/14 - 9*j**3/2 + j**2/2 + 31*j. What is the second derivative of l(c) wrt c?
1500*c**3
Suppose -3*i = -2*i - 5*p + 3, -2*i + 3 = -p. Suppose -72 + 30 = -3*w. Find the second derivative of 21*d**2 + d - w*d**i + 3*d - 2*d wrt d.
14
Let q(t) = t + 7. Let f(j) = j + 6. Let s(v) = -2*v + 9. Let n be s(6). Let b(p) = n*q(p) + 2*f(p). Differentiate b(y) wrt y.
-1
Let y(d) = -47*d - 7. Suppose -j + 3 = 7. Let p be y(j). What is the derivative of 8*c**4 + p*c**3 - 181*c**3 + 9 wrt c?
32*c**3
Find the second derivative of -u**5 - 3 + 121239*u - 121359*u - 2 - 27*u**3 wrt u.
-20*u**3 - 162*u
Let h(a) be the third derivative of -37*a**7/210 + 19*a**3/2 - a**2 - 59*a. Differentiate h(y) with respect to y.
-148*y**3
Let c(i) be the first derivative of -17*i**6/15 - 2*i**3 + 13*i + 6. Let u(y) be the first derivative of c(y). What is the second derivative of u(t) wrt t?
-408*t**2
Let x(q) be the first derivative of -4*q**3 - 221*q - 3*q**2 + 8 + 221*q. What is the second derivative of x(p) wrt p?
-24
Let l(p) = 98*p**4 - 4*p**3 + 25*p**2 - 4. Let m(q) = -97*q**4 + 3*q**3 - 23*q**2 + 3. Let b(g) = 3*l(g) + 4*m(g). Find the third derivative of b(c) wrt c.
-2256*c
Find the third derivative of -190*k**4 - 4*k**5 + 0*k - 18*k**2 + 184*k**4 - 4*k + 7*k wrt k.
-240*k**2 - 144*k
Let q(g) be the first derivative of -7*g**5/60 + 9*g**3/2 - 25*g**2/2 - 11. Let z(y) be the second derivative of q(y). What is the derivative of z(x) wrt x?
-14*x
Find the first derivative of 33*v - 35*v + 9 - 1 - 2*v**2 + 10*v wrt v.
-4*v + 8
Let k(q) = -2*q**3 - 32*q**2 - 2*q - 7. Let i(r) = -r**4 - 3*r**3 - 33*r**2 - 3*r - 6. Let p(s) = 2*i(s) - 3*k(s). Differentiate p(n) with respect to n.
-8*n**3 + 60*n
Let b(p) = -p**3 - p**2 + p + 2. Let r(j) = -39*j**3 + j**2 - 54*j - 2. Let i(q) = -b(q) - r(q). Find the second derivative of i(h) wrt h.
240*h
Let q(b) be the second derivative of 0*b**3 + 0 + 13*b - b**2 + 2/3*b**4. Find the first derivative of q(j) wrt j.
16*j
Find the first derivative of 63 + 7 - 76*f**2 - f + f wrt f.
-152*f
Let b(k) be the second derivative of -89*k**4/12 - k**3/6 + 5*k**2/2 - 9*k + 6. Find the second derivative of b(n) wrt n.
-178
Find the third derivative of -18*u**3 - 58*u**3 - 110*u**3 - 2 - 54*u**2 - 32*u**2 wrt u.
-1116
Let j(x) be the first derivative of -19*x**4/4 - 2*x**3/3 - 13*x**2/2 - 94. Find the third derivative of j(g) wrt g.
-114
Find the first derivative of -109*h - 222*h**3 - 116*h + 119 - 115*h + 340*h wrt h.
-666*h**2
Let p(c) be the first derivative of 25/6*c**6 + 13/3*c**3 + 0*c**4 + 0*c**5 + 0*c**2 - 15 + 0*c. What is the third derivative of p(f) wrt f?
1500*f**2
Suppose -3*t - 9 - 3 = 0, -26 = -2*u - t. Find the third derivative of u*g**2 - 6*g**2 - 14*g**5 + 516*g**4 - 516*g**4 wrt g.
-840*g**2
Let p(c) = 138*c - 95. Let u(j) = -686*j + 476. Let h(x) = -14*p(x) - 3*u(x). Find the first derivative of h(k) wrt k.
126
Suppose -4 = 4*h, 3*h - 9 = -3*x + 6*h. What is the second derivative of 15*s**2 - 15*s**x + 7*s**5 - 17*s**5 - 8*s wrt s?
-200*s**3
Let l(g) = 78*g**2 - 90. Let i = 30 + -57. Let o(r) = -11*r**2 + 13. Let d(k) = i*o(k) - 4*l(k). Differentiate d(j) wrt j.
-30*j
Let q(b) = -255*b - 202. Let n(x) = 3*x - 1. Let t(l) = 6*n(l) + q(l). Differentiate t(c) with respect to c.
-237
Let u be (-5)/((-10)/(-1))*0/2. Let l(j) be the first derivative of 0*j**3 + 1 + u*j**2 + 2/5*j**5 - 2*j + 0*j**4. What is the first derivative of l(r) wrt r?
8*r**3
Let b = 1599 - 3193/2. Let j(k) be the first derivative of -4 + 0*k**3 + b*k**4 + 9*k + 0*k**2. Differentiate j(g) with respect to g.
30*g**2
Let z(h) be the first derivative of | {
"pile_set_name": "DM Mathematics"
} |
1). Let c = y - -344. What is the remainder when 150 is divided by c?
46
Suppose 14*c - 27 = 5*c. Calculate the remainder when 90 is divided by ((-2)/(-4 + c))/((-4)/(-46)).
21
Let z(n) = n**2 + 9*n + 1. Let c be z(4). Let w(b) = -5 + 0*b + 0 + 5*b + b + c*b**2. Calculate the remainder when w(2) is divided by 55.
54
Suppose 4*r = 2*a - a - 838, -r - 219 = -5*a. Let m = 428 + r. Calculate the remainder when m is divided by 4.
3
Let r = 24462 - 24366. Calculate the remainder when 1721 is divided by r.
89
Calculate the remainder when (-16 - 3252/24)*24/(-9) is divided by 5.
4
Calculate the remainder when (-2 + -338)*(8 + (-1275)/60) is divided by 11.
6
Let b = -2 - -7. Suppose -1 + 506 = b*o. What is the remainder when o is divided by ((-170)/(-10))/(1 - 0)?
16
Let o be ((-9)/((-45)/10))/(2/3). Suppose i + 2 + 30 = 5*r, o*r + 4*i - 10 = 0. Suppose -r*s + 78 = 7*s. Calculate the remainder when 14 is divided by s.
2
Let d = -4149 - -4371. What is the remainder when d is divided by 19?
13
Suppose -19*r = -111 + 396. Calculate the remainder when 141 is divided by (-231)/r + 4/(-10) - 2.
11
Let q(t) be the third derivative of -t**6/120 + t**5/30 + 5*t**4/12 + 26*t**2 + t. What is the remainder when 11 is divided by q(4)?
3
Let h(s) = 2*s**2 - s. Calculate the remainder when (-2)/(23/((-21735)/30)) is divided by h(-2).
3
Let b(g) = -g**3 + 18*g**2 - 59*g + 104. What is the remainder when 584 is divided by b(13)?
38
Calculate the remainder when 417 is divided by (189/(-126))/((-3)/176).
65
Let b(i) = i**3 + 10*i**2 + 2*i - 25. What is the remainder when b(-8) is divided by 1620/48 + 3/(-4)?
21
Calculate the remainder when 6200/16*7/70*4 is divided by 53.
49
Suppose -2*p - 41 = 5*r + 21, 4*r - 4*p = -44. Let s be (r + -4)/2*-4 + 4. Let w = 43 - s. Calculate the remainder when 21 is divided by w.
0
Suppose -3*m = y - 234, 3*y + 428 = 5*y - 2*m. Suppose 1383 - y = 2*h. Suppose 0 = 78*v - 75*v - h. Calculate the remainder when v is divided by 15.
14
Let r(x) = -x**3 - x**2 + 8*x - 9. Calculate the remainder when 5811 is divided by r(-5).
48
Let c = 220 - 215. Suppose -2*s + r + 52 = 0, 4*r + 25 + 105 = c*s. What is the remainder when 119 is divided by s?
15
Let k(x) = -6*x**2 + 230*x - 162. What is the remainder when k(35) is divided by 62?
42
Let v = 10 - 3. Let t(j) = 4 + 2*j**3 + j - 12*j - 2*j**2 + 4*j. Calculate the remainder when t(3) is divided by v.
5
Let n = 17865 - 17633. What is the remainder when n is divided by 104?
24
Let g be 2/(-18) - 4465/(-171). Suppose -g*v - 509 = -1523. Calculate the remainder when v is divided by 15.
9
Suppose -5*f - 54 = 4*z, -z + 0*z + 9 = -f. Suppose n = 4*r - 120, -3*r + 120 = 2*n + 19. Let g = r - f. Calculate the remainder when g is divided by 11.
8
Suppose -42*v + 38*v = -220. Calculate the remainder when 249 is divided by v.
29
Suppose 3540 = 4*b - 17*l + 21*l, -4*b = 5*l - 3542. Calculate the remainder when b is divided by 21.
1
Suppose -18*z = -4473 - 1971. Let j = -182 + 205. What is the remainder when z is divided by j?
13
Let b be 1077/6 - (-8)/16. Calculate the remainder when 5 is divided by (-1 + 6/(-9))/((-100)/b).
2
Suppose 28 = 2*t - 98. Let s = 65 - t. Suppose -s*v = -36 + 2. Calculate the remainder when 62 is divided by v.
11
Suppose -2*a + 52 = -d - 145, 10 = 2*d. What is the remainder when 301 is divided by a?
99
Suppose 70 - 532 = -3*h. Let x = h - 147. Let o(k) = -3*k + 5. What is the remainder when o(-7) is divided by x?
5
Suppose 91*w = -2657 + 8117. Calculate the remainder when (-42)/4*136/(-6) is divided by w.
58
Suppose -269*z = -434*z + 2640. What is the remainder when 1308 is divided by z?
12
What is the remainder when 2779 is divided by 0 + (611/78 - (-2)/12)?
3
Let u(v) = -v + 2. Let h be u(-6). Let m be (-44)/h*-16 + 0/(-1). Let s = -70 + m. Calculate the remainder when 105 is divided by s.
15
Suppose -5*q = 7*l - 12*l - 200, -2*q + 68 = 4*l. Suppose 4*t - 6*t = -6, -q = -2*c + 2*t. What is the remainder when 127 is divided by c?
17
Let n(m) = -16*m - 139. Let p(o) = -4*o + 2. What is the remainder when n(-16) is divided by p(-7)?
27
Suppose -51 = -116*y + 99*y. Suppose -4*u - 12 = -4*l, y*l + u = -0*l + 21. What is the remainder when (-3 - -1)*-11*1 is divided by l?
4
Let c(n) = n**2 + 40*n - 1188. Calculate the remainder when c(25) is divided by 425.
12
Let k = -13169 + 13616. Calculate the remainder when k is divided by 14.
13
Let f = -24 - -17. Let m(t) = 2*t**2 + t - 11. Let s be m(f). Suppose -3*j + 2*k + s = 0, 5*j + 3*k = 191 - 26. Calculate the remainder when j is divided by 11.
8
Let i = 2475 - 205. What is the remainder when i is divided by 142?
140
Let p = 731 + -733. Let c = 27 - 19. What is the remainder when 0 - p/13 - 41132/(-676) is divided by c?
5
Let h = 1419 - 1040. What is the remainder when h is divided by 37?
9
Let j be ((-10)/8)/((-1)/4). Suppose 3*w = -t - 14, -24 = 5*t - 3*t + j*w. What is the remainder when t*(94/(-4))/((-5)/(-10)) is divided by 24?
22
Let i be 6 + (-12 - (-12)/2). Let p(t) = -3*t + 28. Calculate the remainder when 54 is divided by p(i).
26
Let u(a) be the third derivative of -17*a**4/12 - 10*a**3 + 29*a**2. What is the remainder when u(-6) is divided by 50?
44
Let j = 42569 + -29047. Calculate the remainder when j is divided by 165.
157
Let u(c) = -83*c - 890. What is the remainder when u(-18) is divided by 310?
294
Let t(w) = -w**3 - 4*w**2 + 18*w + 25. Let y = 191 - 198. What is the remainder when t(y) is divided by 16?
14
Suppose 58*l - 93 = 91*l - 1248. Calculate the remainder when l is divided by (-36)/(-9) + 4/2.
5
Suppose 2*k + 9591*c - 354 = 9594*c, 3*k - 4*c - 527 = 0. What is the remainder when 798 is divided by k?
138
Suppose 2*o = -2*j + 56, 9*o = 12*o - 2*j - 114. Calculate the remainder when 42 is divided by o.
8
Let z = 90 - 46. Let s = 20164 + -20019. What is the remainder when s is divided by z?
13
Let c(j) = 1 + 4*j**2 - 7*j**2 - 41*j + 0*j - 10*j**2 + 3*j**2. Calculate the remainder when 9 is divided by c(-4).
4
Suppose 91*q = 30*q - 76*q + 6028. Calculate the remainder when 84 is divided by q.
40
Let q(z) = -2*z**3 + 23*z**2 + 28*z - 183. What is the remainder when q(9) is divided by 213?
48
Suppose 47*l - 38*l - 1971 = 0. Suppose -25*g + l = 44. Calculate the remainder when 67 is divided by g.
4
Suppose -9*b = 6*b - 18*b + 111. What is the remainder when 586 is divided by b?
31
Suppose -5*n + 4*h + 12 = -132, 2*n = -2*h + 72. Let s = -640284 - -640729. What is the remainder when s is divided by n?
29
Let i = 0 + 7. Suppose -o - 5*h - i + 34 = 0, 2*h = -5*o + 112. Calculate the remainder when (7 + 176/(-20))/(1/(-35)) is divided by o.
19
Suppose -3*d - 8 = 5*u - 28, -3*u + 3*d + 12 = 0. Suppose 135 = 5*v + 5*a, 4*a = 141*v - 137*v - 108. Calculate the remainder when v is divided by u.
3
Let v = 85 - 64. Suppose -8*a + 159 = -145. What is the remainder when a is divided by v?
17
Let z(r) = 28*r**2 - 147*r + 17. Calculate the remainder when z(9) is divided by 76.
50
Calculate the remainder when 4*10/(-200)*4/((-8)/5410) is divided by 70.
51
Calculate the remainder when 11/165 - 39176/(-60) is divided by 17.
7
Let a(m) = -m**3 - m**2 - 2*m - 6. Let c be a(-2). Suppose -c*r = 6, 2*r + 33 = 3*j + 3*r. What is the remainder when 310 is divided by j?
10
Let m(d) = d - 2. Suppose 4*u - 8 = 4*x, 3*x - 10 = -5*u - x. Suppose -37 = -u*r - 2*r - s, r + 7 = 3*s. What is the remainder when 15 is divided by m(r)?
3
Let c = 144 - 98. Suppose j - i = 5*j - c, 0 = j + 5*i - 21. Calculate the remainder when 74 is divided by j.
8
Let m = 762 + -740. Calculate the remainder when (0 - 17)*9/(-1) is divided by m.
21
Suppose -5*g + 171 = 4*n - 168, 4*g + 5*n = 264. Suppose 3*m + 2*a = g, m + 2*a = -a + 26. What is the remainder when 114 is divided by m?
22
Suppose j - 1009 = 2*d - 3*d, -5*j = -2*d - 5010. Calculate the remainder when j is divided by 23.
15
Let f(o) = 2*o + 5. Let m(y) = -y**2 + 19*y + 18. Let d be m(19). Calculate the remainder when f(5) is divided by d/(-5)*(-30)/9.
3
Suppose -2*y + 87 - 21 = 0. Suppose 2*d + y = 111. Calculate the remainder when d is divided by ((-205)/(-123))/(55/693).
18
Suppose 75*x - 60*x = 285. What is the remainder when 35 is divided by x?
16
Suppose b - 2*r = 803, -7*r - 565 + 3657 = 4*b. Calculate | {
"pile_set_name": "DM Mathematics"
} |
u(i) = -50 - 10*i - 174 + 86. Let y be u(-14). Which is the nearest to -2? (a) y (b) d (c) -0.2
c
Let p = -509 + 509. Let g = 13 - 7. Let z be (g/10)/(9/20). Which is the nearest to p? (a) 2/7 (b) z (c) 4
a
Let n = 165 - 233. Let y be (-3*(-2)/4)/((-34)/n). Which is the closest to 0? (a) 5 (b) 2/15 (c) y (d) -0.99
b
Let x = 130 + -653/5. Let u = 2442/13 - 11391/65. Let p = u + -59/5. Which is the nearest to 0? (a) -0.1 (b) p (c) x
a
Let u = 1.66 + 39.24. Let r = 12.1 + u. Let y = r + -53.1. Which is the nearest to 0? (a) 4 (b) 0 (c) y
b
Let z(s) = -2*s**3 - 49*s**2 + 28*s + 79. Let p be z(-25). Suppose -p*v + 15 = 11, -2*y = -4*v + 10. Which is the closest to y? (a) 0 (b) 4 (c) 5/3
a
Let g = -2720 - -2714. Which is the nearest to 7? (a) 4 (b) g (c) -1
a
Let l = 11675 + -11728. What is the closest to 0 in l, -1/4, -0.01?
-0.01
Suppose -18*l + 16 = -17*l - 4*n, -5*l - 5*n = -30. Let q = 0.6 + -1.6. Which is the nearest to -1? (a) -0.3 (b) q (c) l
b
Let f = -4879/5704 - 14/713. What is the nearest to -0.2 in f, -2, -3?
f
Let h = 2797 + -2796.9. Let k = -3 + 2.94. What is the closest to h in 1, k, -5?
k
Suppose -5*b - r + 2 = 0, -503*b + 499*b + 2*r = 4. What is the closest to -2/5 in 1/4, 3, b, -4/15?
-4/15
Let r = 9647/78 - 743/6. Let f = -132 + 2246/17. Let q(g) = -g**3 - g**2 - 5. Let d be q(0). Which is the nearest to 0.1? (a) r (b) f (c) d
b
Let h = -497.9 + 498.9. Which is the nearest to h? (a) 4 (b) -1/16 (c) -1
b
Let t = 262 + -141. Let g = t + -121.9. What is the closest to -1 in 2/9, g, -2/7?
g
Suppose 2*f + 13 = -5*i, 3*f + 256 = -5*i + 239. What is the nearest to 0 in -0.4, 12, i?
-0.4
Let v = 3.8 + -0.8. Let d = 366 - 527.8. Let m = 162 + d. Which is the nearest to m? (a) 0.3 (b) -0.01 (c) v
a
Let w be (2/6)/(-1)*-2. Let j = 293229.9 - 293230. Which is the nearest to j? (a) -0.3 (b) w (c) 1/3
a
Let s = -957/17 + 8596/153. Which is the nearest to 0.03? (a) 0.1 (b) -3 (c) s
a
Let b = 0.0157 + -2.0157. Let j = -0.5 - -0.1. What is the closest to 0 in b, j, -4?
j
Let z = 139.5 - 140. Let q = 0 - -11. Let g = q + -10. What is the nearest to g in 4, 1/4, z?
1/4
Let i = 2277/9140 + 2/2285. Which is the nearest to i? (a) -3/5 (b) 1 (c) 31
b
Let h = 2930 - 2929.949. What is the closest to h in 2, -2, -3, 5?
2
Let x = -0.073 + -83.927. Let j = x + 84. Let l = 15 + -19. What is the nearest to 1 in -0.3, l, j?
j
Let w be 2/3 - (-8)/6. Let q(u) = u**2 + 19*u - 375. Let d be q(-31). Which is the nearest to 2/9? (a) d (b) w (c) -1
c
Let x = 21671/7 - 3096. Which is the nearest to x? (a) -0.4 (b) -0.8 (c) -14
a
Let a = 95/3 + -671/21. Let h = 167 - 784. Let c = -621 - h. What is the nearest to 1/8 in a, -1/7, c?
-1/7
Let m = -2036 - -1271. Let v = 16829/22 + m. Which is the closest to 1/3? (a) v (b) -4 (c) 0.1
c
Let f = -26042/3 - -8680. Suppose 3*o = -0 + 3. What is the closest to 0.1 in f, o, -1.8?
f
Let o = -204 - -204. Let c = -1.5 + 1. Let u = c + o. What is the closest to 6 in u, 0, 3/7?
3/7
Let s = 3.32698 - 0.32698. Let h = -1 - -2. Which is the closest to -1/3? (a) h (b) 0.01 (c) 0.2 (d) s
b
Let h = -0.001 + 0.01. Let s = h - -0.191. Let x = 14 + -13.6. What is the nearest to s in x, -5, -1?
x
Let b = -91117 + 91117.2. Let x = 0.1 - 0.1. What is the closest to x in 1/3, b, -0.1?
-0.1
Let t = -3 + 2.9. Let x = 93463/87206 - 2/6229. Let v = x + -26/21. Which is the closest to t? (a) -1 (b) v (c) 1
b
Let r be (331/993)/((-2 + -1)/(-1)). Let s(b) = -b**3 + 21*b**2 - 2*b + 42. Let q be s(21). What is the nearest to 0.1 in -2, q, r, 3?
r
Let g = -25.165 - -25. Let l = g + -15.835. What is the closest to l in -1/4, -0.5, -4?
-4
Let y = 0.17229 - -0.12771. What is the closest to -111 in -1/2, -0.2, y, -1?
-1
Let w = -1.62 + 1.168. Let m = -0.152 - w. What is the nearest to 5/3 in 3/5, m, -2?
3/5
Let z(d) = d**3 - 7*d**2 + 50*d - 262. Let n be z(6). What is the closest to 2 in n, -8/41, -3?
n
Let v = -6.1533 - -5.9533. Let t = 4 + -2. What is the closest to t in 1/7, v, -3/5?
1/7
Let v = -44739.602 + 44838. Let a = v - -0.302. Let q = a + -99. What is the nearest to 1/33 in -1, 3, q?
q
Let k = 26/29 - 75/116. Let h be 3/15*-8 + 0 + 2. What is the closest to -2/7 in h, k, 2?
k
Let i = -81 - -569/7. Let f be (-3 - (-105)/10)/((-3)/(-4)). Suppose -7*m - h + f = -2*m, -4*m + 5*h + 8 = 0. What is the nearest to i in -0.2, -5, m?
-0.2
Suppose 0 = -3*q - 4*n - 28, 5*q + 5*n = 8*q + 19. Let s be (-3)/q*(-5)/30*2. What is the nearest to -1 in 1/5, 6, -4, s?
s
Let m = -23.88 + 24.18. Let u be 3/(-15) - (-1154)/1800. Let x = u + -13/36. What is the closest to -1 in m, x, 1/8?
x
Let r = -0.139 + -0.761. What is the closest to -1.8 in 2/11, 3/7, r?
r
Let k = -154.28 + 154.18. Which is the closest to 0? (a) k (b) -4 (c) -301
a
Let h = -1572.9 - -1573. Which is the nearest to h? (a) 1 (b) 8 (c) -11
a
Suppose 5*t = -o + 29, -4*t - 305*o = -308*o - 8. What is the nearest to -2 in t, -0.3, -2.7, -1/3?
-2.7
Suppose -2*u - 4*p - 3 = 3, p = -1. What is the nearest to 1/15 in -3, u, 2, 1/5?
1/5
Let m = 90/217 + -4/31. Let p = -14399 + 14400. What is the closest to m in -27, -1, p?
p
Let d = 69803 - 487587/7. Let g = d - 148. Let q = -398 + 1991/5. Which is the closest to 3/5? (a) q (b) -3 (c) g
a
Suppose -2*c - 220*x = -219*x + 7, 3*c = x - 8. What is the closest to 2 in -0.02, c, -1?
-0.02
Let f = -23 - -27. Let j = -224 - -231. Which is the nearest to j? (a) 2 (b) 2/17 (c) f
c
Let g = -489 - -997/2. Which is the nearest to 0? (a) g (b) -3 (c) 4 (d) 6
b
Let p = -61 - -89. Let m = 24 - p. Let t be 6/(-16)*(60/27)/5. What is the nearest to -1/4 in 4, m, t?
t
Let x be (-42)/7 - ((-1173)/12)/17. Which is the nearest to x? (a) -3 (b) 0.04 (c) -1/3 (d) -2/7
d
Let l = -877 + 882. Let d = -0.1 - -0.2. Which is the nearest to -2? (a) d (b) 41 (c) l
a
Let h be 3 + 148/(-112) + 1/(-4). Let d = 736 + -735. What is the closest to h in d, 5, -0.1?
d
Let r = 2/19979 + -79934/179811. Which is the nearest to -0.1? (a) r (b) -3 (c) -4 (d) 8
a
Let b be 214/(-798) + 82/287. Let x = b - -6/19. Let n = 2 + 2. What is the closest to -2 in n, x, -3/5?
-3/5
Let s = 5619 + -5618.7. Which is the nearest to 0? (a) -2/21 (b) -0.02 (c) 0.0365 (d) s
b
Let b = 3.055 - 3.355. What is the closest to 11 in b, 0.2, 0, 8?
8
Let y = 6318 + -6317.8. What is the nearest to y in 26, -10, -1/3?
-1/3
Suppose 15 = f + 2*f. Let m be f*-1 - 770/(-150). Let i = 8 + -7.9. Which is the nearest to i? (a) -0.1 (b) m (c) 2
b
Let i = -8626 + 8619. Which is the nearest to i? (a) 1 (b) 0 (c) -4 (d) -19
c
Let u = -2901.9 + 2902. What is the closest to 23 in -2, 0.4, 2, u?
2
Let d be -13 + (20 - 14) + (3 - -4). Which is the nearest to -1? (a) -2/3 (b) 2/147 (c) d
a
Let q = 124.46 - 124.39. What is the nearest to 1/3 in -5, q, 4, -1?
q
Let y = -200 + 199.9891. Let d = y - -3.0109. What is the closest to -5 in 4, -0.3, d?
-0.3
Suppose 137*u = 76*u + 122. What is the nearest to -2/7 in 1029, -1/2, -5, u?
-1/2
Let c = 6.526 + -6.496. What is the closest to 1 in c, -0.5, 0.01?
c
Let d be (-16)/(-14) + (-368)/322. Which is the closest to 1/9? (a) d (b) 2/7 (c) 4
a
Let u = -97.4 + 97. Let l = 1.9 - -15.1. Let z = -23 + l. Which is the nearest to z? (a) 3 (b) 2 (c) u
c
Suppose 24 = 2*o - 52. Suppose 39*n = o*n - 5. Which is the closest to 1/2? (a) 2/13 (b) n (c) -0.13
a
Let v = -15 + 22. Let d(f) = 8*f + 146. Let h be d(-18). Which is the nearest to h? (a) v (b) 0.5 (c) 4
b
Let q be 83/1660 + (-42)/40. What is the nearest to q in 2/5, 1930, -4?
2/5
Suppose -4 = 6*g - 10*g, -5*g = 2*t - 15. Let v = -8.6 - -9. What is the nearest to 1/9 in 4, t, v?
v
Let x be (44/(-2574)*18)/(-2*(-1 - -2)). Let u = 0.1 + 2.9. What is the closest to -2/5 in u, -1, x?
x
Let j = -879.4 - -878.4. Which is the nearest to j? (a) 9 (b) -1 (c) -0.2
b
Let r(w) = -w**2 - 4*w + 6. Let y be r(0). Suppose h - y + 17 = -5*k, 1 = h - k. Suppose 2*g = -7*g. Which is the closest to -1? (a) 5 (b) h (c) g
b
Let v = -8 - 12. Let n be (-2)/v + 12/24. Let m = 77.8 + -77.6. Which is the nearest to m? (a) n (b) -2 (c) 4
a
Suppose 0 = -3*l + 7*l + 5*t - 25, -5*l + 30 = 5*t. Let z = -4.3 - -4.1. Let m = -4 - -4. Which is the nearest to z? (a) m (b) l | {
"pile_set_name": "DM Mathematics"
} |
of w and -48/41.
164
Suppose 4 = 3*q - 2. Suppose q*p = p + 1. Let l = 17 + p. What is the smallest common multiple of l and 16?
144
Suppose 16*f - 5 = 15*f, 3*f - 33 = -a. Calculate the least common multiple of 276 and a.
828
Suppose r = 14 - 8. What is the least common multiple of r + 7 + (-4 - 0) and (-2)/(-3) - 2/(-6)?
9
Suppose 0 = 2*n + 3*n + 20. What is the least common multiple of 10 and ((n/(-6))/1)/(2/12)?
20
Let p = 822/11 - 10535/132. Find the common denominator of p and -28/183.
732
Let u be 8*3*(-6)/(-9). Suppose 2 = -a + 6. Calculate the least common multiple of (-4)/u*2*-4 and a.
4
Let k = -26 - -17. What is the common denominator of 64/39 and 6/k + 9/(-21)?
273
Let n(y) = -y**3 - 4*y**2 - 4*y + 6. Let r be n(-4). Let j = r + -23. Calculate the common denominator of (-294)/4*j/9 and 9/20.
60
Let k = -20 + 11. Let a(j) = j**2 + 8*j - 9. Let y be a(k). Calculate the smallest common multiple of 13 and y + (42/3)/2.
91
Let h be ((-18)/12)/((-6)/(-2021)). Let m = 527 + h. Find the common denominator of 25/3 and m.
12
Let x = -76 - -79. Suppose x*m = 2*m, -5*y + 80 = -2*m. Calculate the lowest common multiple of 66 and y.
528
Let r(g) = g**2 + 6*g - 4. Let l be r(-6). Let h(k) = -4*k - 5. Calculate the smallest common multiple of h(l) and 4.
44
Let r = -89 + -225. Find the common denominator of r/40 - -2*1 and 7/42 + (-249)/(-99).
220
Let j = -29 - -125. What is the smallest common multiple of j and (36/(-10))/((2/10)/(-1))?
288
Let l = 837 + -843. Let b be (22/6 - 1)*-3. Calculate the smallest common multiple of 7 and 4 - l/b*4.
7
Let x = 947/4 - 1045/4. Calculate the common denominator of 145/594 and x.
594
Let n be (35/(-28) - (-1)/4)*-757. Suppose 63 + n = 10*w. Calculate the lowest common multiple of w and 4.
164
Let c = -149 + 158. Let b = 13 + 2. What is the least common multiple of c and 51/b + (-4)/10?
9
Let n = -109781/10 + 10987. Calculate the common denominator of n and (2/12)/(2/(-218)).
30
Let m = -524 + 531. Calculate the lowest common multiple of m and 753.
5271
Calculate the smallest common multiple of (-3)/6 - 53/(-2) and (-72)/(-10)*595/238.
234
Let l be (1/1)/(-2 - 11/(-5)). Suppose -4*c = 2*f - 4, 0 = 5*f + 2*c - l*c - 75. What is the lowest common multiple of f and 70?
420
Find the common denominator of -73/35 and (-39)/(-15)*((-74)/(-19) - 4).
665
Let r = 4 - 3. Let c = r - 0. Let w = 158 + -156. Calculate the smallest common multiple of w and c.
2
Let u = 22 - 19. Suppose 24 = m + u*m. What is the lowest common multiple of 2 and m?
6
Let p be -21 + 9/(-3) + 0. Let i be (p/(-14))/(2/28). Find the common denominator of 49/10 and (-180)/i*(-32)/(-6).
10
Find the common denominator of 69/32 and (148/120)/(-4 + 8/5).
288
Calculate the smallest common multiple of 264 and 138/15 - (-48)/60.
1320
Calculate the smallest common multiple of ((-510)/(-12) - 0) + (-2)/4 and 10.
210
Find the common denominator of 1 + 3 + 218/(-8) and (-159)/(-390) - (-9)/(-15).
52
Suppose -q + 5*i + 9 = q, 0 = -3*q - i + 22. Suppose -7*f + 309 - 8 = 0. Let p = 46 - f. What is the smallest common multiple of p and q?
21
Let o = -3/347 - -3853/4164. Find the common denominator of o and 117/10.
60
Let i = -2 + 10. Let l = i - 6. Suppose -3*n + 2*n + 110 = 5*r, -l*r = -4*n - 44. What is the lowest common multiple of r and 12?
132
Let c = 4107/8 + -516. Let y = -101/40 - c. Calculate the common denominator of 20 and y.
10
Suppose -5*m = -z - 3*m + 28, -4*z - 4*m + 52 = 0. Let j = z + -16. What is the lowest common multiple of j and 28?
28
Let p = -47/16 - -21/8. Let y = 4589/643220 + -6/1109. Let t = 10159/5220 - y. What is the common denominator of p and t?
144
Let f be (-1416)/(-44) - (-8)/(-44). Let i = -28 + f. What is the lowest common multiple of 6 and i?
12
Find the common denominator of -123/20 and 1598/1556 + ((-36)/4)/9.
7780
Suppose 5*u + 12 = 8*u. Find the common denominator of -22/5 and 2406/720 - u/5.
120
Suppose -2*t = -m - 3*t + 79, -3*m - 4*t = -232. Calculate the lowest common multiple of m and 20.
420
Suppose -2*w - 3*w + 4*d + 68 = 0, 2*d - 86 = -5*w. What is the common denominator of (-28)/70*-2*2/w and -4/25?
50
Let r(n) = n**3 - 8*n**2 - n + 9. Let w(c) = c**3 - 9*c**2 - c + 8. Let a(s) = 4*r(s) - 5*w(s). Calculate the least common multiple of a(13) and 3.
9
Let u = 5071/9 - 3425/6. Let n = -136981/22 - -6228. Calculate the common denominator of n and u.
198
Suppose 4*z = 5*s + 16, -2*s + 4 + 4 = 0. What is the least common multiple of z and 11?
99
Let r be -1*3 + 77344/28 + -6. Let q = 2745 - r. Calculate the common denominator of 53/10 and q.
70
Let s(a) = 14*a - 1. Let g be s(-1). Let v = -11 - g. Let f(r) = r**2 + 11*r + 18. Calculate the lowest common multiple of f(-10) and v.
8
Suppose -2*y - 3*j = -363, -4*y + 5*j = 10*j - 725. What is the least common multiple of y and 160?
1440
Let g be 90*(30/36 + 1/(-3)). Find the common denominator of 74/40 - (-9)/g and 111/28.
140
Let k = 209 + -205. Suppose 5*d = x - 15, -5*x - d = 2*d + 9. Suppose 4*m - 4 = -2*y - y, -4*m + 2*y + k = x. Calculate the lowest common multiple of m and 2.
2
Let b = 10741/441 - 10/441. Find the common denominator of 107/1368 and b.
1368
Let z be (-1)/(-2) - (-2024)/(-60). Let i be ((-69)/(-27))/((-4)/42). Let p = z - i. Calculate the common denominator of -9/8 and p.
40
Let h(l) = l**3 - 6*l**2 + 5*l + 7. Let f(s) = -s**2 - 16*s - 28. Let p be f(-17). Let t = -44 - p. Calculate the smallest common multiple of h(5) and t.
7
Suppose 4*r = -5*s - 0*r - 935, 3*r = -s - 198. Calculate the common denominator of s/(-44) + 21/28 and -89/8.
88
Let k = -10 + 14. Suppose 5*r = 26 + k. Let h = -56 - -76. What is the least common multiple of r and h?
60
Suppose 0 = 7*k - 12*k. Let h be 15/(-66)*(k - -19990). Let m = h + 4548. Find the common denominator of 11/5 and m.
55
Let i = -20 + 20. Let g be (5 - i)*57/95. Suppose 3*v = 2*v - 2*o + g, 5*v = 4*o + 57. What is the lowest common multiple of v and 7?
63
Let z = 120/71 + -8993/994. What is the common denominator of (5/15 + (-221)/6)/(-1) and z?
14
Let j be (-5)/5 - 7/((-21)/30). Suppose -j = -5*l + 6. What is the lowest common multiple of l and 9?
9
Let v be (0 + -2 + 1)*20. What is the common denominator of 1/(-7)*(-1276)/(-58) and (-13)/(0 - v/2)?
70
Let w = -6 + 8. Let g = 25 - 20. Suppose -5*n + 3*t + 18 + 0 = 0, -4 = -4*n + g*t. What is the smallest common multiple of w and n?
6
Suppose -4*w - 10*w = -784. What is the least common multiple of 42 and w?
168
Let o = 4 - 5. Let u be -1 - (13/(-1) - o). Suppose l + v = 5*l - u, 12 = -2*l + 4*v. Calculate the smallest common multiple of 8 and l.
8
Let x(u) = -5*u**2 + 27*u + 6. Let f be x(8). Let t = f + 1175/12. Find the common denominator of -40/33 and t.
132
Find the common denominator of ((-29)/(-203))/(-2 + (-77)/(-41)) and -39/50.
350
Let j = -356 - -366. What is the smallest common multiple of 507 and j?
5070
Calculate the common denominator of 35 and -5 - (-36)/(-184)*-22.
23
Suppose 0 = 2*o + 13245 - 13247. What is the lowest common multiple of 4 + 4/(-2 - 0) and o?
2
Suppose -3*j + 3*t + 267 = 0, 2*j + 3*j - t - 449 = 0. Suppose 0 = -u + 6, -4*u = 5*f - 33 - 31. What is the least common multiple of j and f?
360
Let k be 246 + 6 - (-2)/(-1). Suppose -w - k = 61. Calculate the common denominator of (-6)/15 - w/(-10) and -25/3.
6
Let a = 33/148 - -8065/1332. Let f be (-28)/6*(-6)/(-38). Let w = 1079/304 + f. What is the common denominator of a and w?
144
Suppose 38*d = 41*d - 18. Calculate the lowest common multiple of 48 and (8/(-12))/((-2)/d).
48
Let u = -120 + 50. What is the least common multiple of 4 and (-53)/(-5) - (-42)/u?
20
Let i(g) = g**3 - 7*g**2 - 2*g - 4. Let p be i(7). Let b = 19 + p. What is the smallest common multiple of b and 4?
4
Let h = -190 + 200. Suppose -4*c = -7 - 49. What is the lowest common multiple of c and h?
70
Let g = -7186/20805 - 2/365. Find the common denominator of g and -22/9.
171
Let c = -10 - -14. Suppose -p + c*p - 9 = -q, -p - q = -3. What is the smallest common multiple of 4 and p?
12
Let n(h) = 166*h - 1. Let b be n(1). Let a be -9 - (-3 - (0 - 5)). What is the common denominator of 19/5 and (a/15)/((-12)/b)?
60
Let p = -5765 + 69133/12. Suppose -5*f - 5*x = -0*f - 100, -2*f = x - 36. Calculate the comm | {
"pile_set_name": "DM Mathematics"
} |
7, -7363, -9111?
-10799
What comes next: 61079, 61077, 61075, 61073, 61071?
61069
What is the next term in -3497, -13996, -31493, -55988, -87481?
-125972
What is the next term in 1997, 2998, 4667, 7004, 10009, 13682, 18023?
23032
What comes next: -1465, -3114, -5863, -9712, -14661, -20710, -27859?
-36108
What is the next term in -115746, -115742, -115738?
-115734
What is next in 529668, 529671, 529674, 529677, 529680?
529683
What is the next term in 1188, 2355, 3520, 4683, 5844, 7003, 8160?
9315
What comes next: 9, 230, 443, 648?
845
What is next in 677, 1257, 1731, 2099, 2361, 2517?
2567
What comes next: 293490, 586986, 880486, 1173990, 1467498?
1761010
What is next in 189, 762, 1711, 3036, 4737, 6814, 9267?
12096
What is the next term in 10499, 42002, 94507, 168014?
262523
What comes next: 2655, 2576, 2485, 2382?
2267
What is next in 2288, 2278, 2276, 2282, 2296, 2318, 2348?
2386
What comes next: 147, 1185, 3999, 9477, 18507, 31977, 50775, 75789?
107907
What comes next: 483, 978, 1487, 2010?
2547
What comes next: 81571, 81584, 81601, 81622?
81647
What is next in -9716, -9773, -9868, -10001, -10172, -10381, -10628?
-10913
What is next in 14954, 14931, 14910, 14891?
14874
What is the next term in -1114, -2190, -3256, -4318, -5382, -6454, -7540, -8646?
-9778
What is the next term in -404, -424, -444, -464, -484?
-504
What is next in 1854, 7382, 16582, 29454, 45998, 66214?
90102
What comes next: 44, 77, 110, 137, 152?
149
What is the next term in 16435, 16445, 16457, 16471, 16487?
16505
What comes next: -80, -127, -160, -173, -160, -115, -32, 95?
272
What comes next: -82740, -82737, -82734, -82731, -82728, -82725?
-82722
What is next in -361119, -361118, -361117?
-361116
What is next in -566, -2451, -5944, -11333, -18906, -28951, -41756, -57609?
-76798
What comes next: 8189954, 8189953, 8189952, 8189951?
8189950
What is the next term in -11082, -22153, -33224, -44295, -55366, -66437?
-77508
What is the next term in -38243, -38245, -38247, -38249, -38251?
-38253
What is the next term in -42321, -42342, -42379, -42432, -42501, -42586, -42687?
-42804
What comes next: -516, -225, 54, 315, 552?
759
What comes next: 87958, 87987, 88016, 88045, 88074, 88103?
88132
What comes next: 141, 247, 467, 807, 1273, 1871?
2607
What is the next term in 871, 1732, 2587, 3436, 4279, 5116, 5947?
6772
What is next in 39, 47, -19, -201, -541, -1081?
-1863
What comes next: 4444, 4440, 4436, 4432, 4428?
4424
What is the next term in -984, -4548, -10490, -18810, -29508, -42584, -58038?
-75870
What is next in -2144, -4312, -6494, -8696, -10924, -13184, -15482?
-17824
What is next in -185, -605, -1305, -2285, -3545?
-5085
What comes next: 97, 269, 527, 877, 1325?
1877
What is the next term in 96, 58, -48, -258, -608, -1134?
-1872
What is the next term in 4691, 18803, 42331, 75275, 117635?
169411
What is the next term in 224, 650, 1364, 2366?
3656
What is the next term in -42, -23, 10, 57, 118?
193
What comes next: -3, -5, -15, -33, -59, -93, -135?
-185
What comes next: -2917, -2900, -2871, -2824, -2753?
-2652
What comes next: 142, 185, 256, 355, 482?
637
What comes next: 110385, 220770, 331157, 441546, 551937, 662330, 772725?
883122
What is the next term in 2297, 9211, 20735, 36869?
57613
What comes next: 25, 130, 303, 544, 853, 1230, 1675?
2188
What is the next term in -264, -526, -774, -996, -1180, -1314, -1386?
-1384
What comes next: -150, -220, -296, -378, -466, -560?
-660
What is next in -172, -412, -668, -940?
-1228
What comes next: -3657, -8145, -12635, -17127, -21621, -26117?
-30615
What is the next term in -40407, -40409, -40413, -40419, -40427, -40437, -40449?
-40463
What comes next: -1393, -2790, -4187, -5584?
-6981
What is next in -3842654, -3842656, -3842658, -3842660, -3842662?
-3842664
What is the next term in 77, 313, 713, 1277, 2005?
2897
What is the next term in 11, -79, -221, -427, -709, -1079, -1549?
-2131
What is next in -24039, -48086, -72133, -96180, -120227, -144274?
-168321
What is next in 30078, 120316, 270714, 481272, 751990, 1082868, 1473906?
1925104
What is next in 181, 773, 1779, 3205, 5057?
7341
What is next in 1232, 3584, 5926, 8252, 10556, 12832?
15074
What is next in -266, -341, -490, -731, -1082, -1561, -2186, -2975?
-3946
What is the next term in -2801, -2821, -2885, -3017, -3241, -3581, -4061?
-4705
What comes next: -141, -265, -471, -759, -1129, -1581?
-2115
What comes next: -16124, -64510, -145158, -258074, -403264?
-580734
What is the next term in 70546, 141093, 211640?
282187
What is the next term in 698515, 698514, 698513, 698512, 698511, 698510?
698509
What is next in -1640, -3308, -4986, -6680, -8396, -10140, -11918, -13736?
-15600
What is next in 36, 202, 610, 1380, 2632, 4486, 7062?
10480
What is next in -823478, -823480, -823484, -823490?
-823498
What is next in -243214, -486418, -729622, -972826?
-1216030
What comes next: -25447, -25440, -25433, -25426?
-25419
What is next in 1118, 2392, 3666?
4940
What is next in 235606, 235604, 235602, 235600, 235598, 235596?
235594
What is the next term in 1452, 5799, 13034, 23151, 36144, 52007, 70734, 92319?
116756
What is the next term in 73, 195, 329, 481, 657, 863?
1105
What is the next term in 211291, 422583, 633879, 845179, 1056483, 1267791, 1479103?
1690419
What is next in -2092570, -2092571, -2092572, -2092573, -2092574, -2092575?
-2092576
What is next in 328, 1289, 2882, 5107, 7964, 11453, 15574?
20327
What is the next term in 20401, 20385, 20359, 20317, 20253, 20161, 20035?
19869
What is next in 53023, 106123, 159223, 212323, 265423?
318523
What is next in 359, 1436, 3233, 5756, 9011, 13004, 17741, 23228?
29471
What comes next: 50645, 101313, 151979, 202643, 253305?
303965
What comes next: 132, 526, 1246, 2346, 3880, 5902, 8466?
11626
What is next in -64, -107, -148, -187?
-224
What comes next: -255, -1957, -6577, -15573, -30403, -52525?
-83397
What comes next: 330, 2687, 9086, 21549, 42098, 72755, 115542, 172481?
245594
What is next in -29, -210, -511, -932, -1473, -2134, -2915?
-3816
What is next in -2129, -2085, -1991, -1829, -1581, -1229, -755, -141?
631
What comes next: -23587, -47171, -70755, -94339?
-117923
What comes next: 9128, 9129, 9132, 9137, 9144?
9153
What comes next: 140, 332, 568, 860, 1220, 1660, 2192, 2828?
3580
What comes next: 1047, 2256, 3633, 5178?
6891
What comes next: -26, -179, -332, -485, -638, -791?
-944
What comes next: 7283, 7390, 7497, 7604, 7711?
7818
What is next in -399, -1601, -3603, -6405, -10007?
-14409
What is the next term in -8597, -8602, -8595, -8570, -8521, -8442?
-8327
What comes next: 47, 440, 1529, 3668, 7211, 12512, 19925?
29804
What is next in -526430, -526438, -526446?
-526454
What comes next: 226, 887, 1980, 3505, 5462, 7851, 10672?
13925
What comes next: -942, -1839, -2658, -3357, -3894, -4227, -4314?
-4113
What is the next term in -3021, -12123, -27303, -48561, -75897, -109311?
-148803
What is the next term in 149, -26, -193, -352, -503, -646?
-781
What is the next term in -13, -99, -309, -691, -1293, -2163, -3349?
-4899
What comes next: -22, -183, -452, -829, -1314, -1907, -2608?
-3417
What is the next term in 34, -62, -216, -428?
-698
What comes next: 562, 555, 534, 493, 426, 327, 190?
9
What is the next term in 5621, 10880, 16137, 21392, 26645, 31896, 37145?
42392
What is next in 709, 647, 499, 223, -223, -881, -1793, -3001?
-4547
What is the next term in -61, -604, -2085, -4966, -9709?
-16776
What is the next term in -448, -569, -690, -811, -932, -1053?
-1174
What is the next term in -57, -75, -139, -267, -477?
-787
What comes next: 26528, 26464, 26400, 26336, 26272?
26208
What is the next term in 19452, 19459, 19476, 19509, 19564, 19647, 19764, 19921?
20124
What comes next: -8148, -7917, -7688, -7461, -7236?
-7013
What comes next: 17139, 17086, 17033, 16980?
16927
What is the next term in 498, 1888, 3278, 4668?
6058
What is the next term in -446819, -893638, -1340457, -1787276, -2234095?
-2680914
What is next in -84, -531, -1732, -4059, -7884?
-13579
What is the next term in 947, 3746, 8403, 14912, 23267, 33462, 45491, 59348?
75027
What is next in -192152, -192151, -192150, -192149, -192148, -192147?
-192146
What is the next term in -98, -218, -352, -500, -662, -838, -1028?
-1232
What is the next term in -319, -182, 177, | {
"pile_set_name": "DM Mathematics"
} |
en 9:52 PM and 9:23 AM?
691
What is 104 minutes before 9:27 PM?
7:43 PM
What is 324 minutes after 7:48 AM?
1:12 PM
What is 488 minutes after 3:22 PM?
11:30 PM
What is 592 minutes after 5:54 PM?
3:46 AM
What is 298 minutes after 8:54 AM?
1:52 PM
What is 135 minutes after 11:14 PM?
1:29 AM
How many minutes are there between 8:23 AM and 10:45 AM?
142
What is 304 minutes after 5:08 AM?
10:12 AM
How many minutes are there between 8:08 AM and 11:45 AM?
217
What is 617 minutes after 5:00 AM?
3:17 PM
How many minutes are there between 7:39 AM and 11:22 AM?
223
What is 466 minutes before 1:23 PM?
5:37 AM
How many minutes are there between 7:29 PM and 10:53 PM?
204
What is 240 minutes before 12:41 PM?
8:41 AM
How many minutes are there between 4:35 AM and 4:20 PM?
705
What is 678 minutes after 8:46 AM?
8:04 PM
How many minutes are there between 9:39 PM and 7:57 AM?
618
What is 623 minutes after 7:06 PM?
5:29 AM
What is 628 minutes before 5:42 PM?
7:14 AM
What is 609 minutes after 12:45 PM?
10:54 PM
How many minutes are there between 4:46 PM and 9:32 PM?
286
How many minutes are there between 5:29 PM and 8:08 PM?
159
What is 405 minutes after 10:51 PM?
5:36 AM
How many minutes are there between 3:16 PM and 3:05 AM?
709
How many minutes are there between 4:10 PM and 3:29 AM?
679
What is 154 minutes before 6:02 AM?
3:28 AM
What is 254 minutes after 1:39 AM?
5:53 AM
What is 286 minutes before 10:22 AM?
5:36 AM
How many minutes are there between 12:38 AM and 9:18 AM?
520
How many minutes are there between 1:59 PM and 8:33 PM?
394
What is 6 minutes after 12:53 AM?
12:59 AM
What is 401 minutes before 1:52 PM?
7:11 AM
What is 170 minutes before 11:32 PM?
8:42 PM
What is 223 minutes after 12:22 PM?
4:05 PM
How many minutes are there between 4:23 PM and 7:27 PM?
184
What is 700 minutes after 2:42 PM?
2:22 AM
How many minutes are there between 6:56 AM and 4:39 PM?
583
How many minutes are there between 3:32 PM and 2:35 AM?
663
How many minutes are there between 5:38 AM and 9:02 AM?
204
What is 166 minutes before 9:18 AM?
6:32 AM
What is 38 minutes after 3:19 AM?
3:57 AM
How many minutes are there between 1:49 PM and 6:59 PM?
310
What is 120 minutes after 5:26 PM?
7:26 PM
How many minutes are there between 9:35 PM and 3:03 AM?
328
What is 707 minutes after 8:26 AM?
8:13 PM
How many minutes are there between 5:34 AM and 10:37 AM?
303
How many minutes are there between 8:39 PM and 7:15 AM?
636
How many minutes are there between 1:49 AM and 2:37 AM?
48
How many minutes are there between 8:55 PM and 8:35 AM?
700
What is 504 minutes after 5:11 PM?
1:35 AM
How many minutes are there between 4:31 AM and 9:20 AM?
289
What is 264 minutes before 8:54 PM?
4:30 PM
How many minutes are there between 4:39 AM and 10:39 AM?
360
What is 9 minutes before 9:05 AM?
8:56 AM
How many minutes are there between 11:00 PM and 12:32 AM?
92
What is 197 minutes after 7:01 PM?
10:18 PM
What is 313 minutes after 8:02 PM?
1:15 AM
What is 265 minutes after 10:34 AM?
2:59 PM
How many minutes are there between 11:02 AM and 11:12 AM?
10
What is 405 minutes before 1:39 PM?
6:54 AM
How many minutes are there between 12:57 PM and 10:06 PM?
549
What is 342 minutes before 7:36 AM?
1:54 AM
How many minutes are there between 9:08 PM and 8:39 AM?
691
How many minutes are there between 9:03 AM and 11:19 AM?
136
How many minutes are there between 4:42 AM and 6:52 AM?
130
What is 41 minutes before 9:37 PM?
8:56 PM
How many minutes are there between 7:59 AM and 6:40 PM?
641
How many minutes are there between 11:01 PM and 2:58 AM?
237
What is 203 minutes before 11:34 PM?
8:11 PM
How many minutes are there between 7:12 PM and 2:50 AM?
458
How many minutes are there between 10:13 AM and 9:16 PM?
663
How many minutes are there between 1:45 PM and 6:49 PM?
304
What is 103 minutes before 5:18 AM?
3:35 AM
What is 445 minutes after 10:49 PM?
6:14 AM
How many minutes are there between 3:39 AM and 8:05 AM?
266
What is 54 minutes before 5:32 AM?
4:38 AM
What is 482 minutes after 5:32 PM?
1:34 AM
What is 496 minutes before 9:11 PM?
12:55 PM
How many minutes are there between 8:39 AM and 8:06 PM?
687
How many minutes are there between 1:42 AM and 11:37 AM?
595
How many minutes are there between 8:50 PM and 11:22 PM?
152
What is 304 minutes before 6:00 PM?
12:56 PM
How many minutes are there between 12:49 PM and 8:23 PM?
454
How many minutes are there between 9:37 AM and 3:01 PM?
324
How many minutes are there between 10:43 PM and 6:26 AM?
463
What is 400 minutes before 12:16 PM?
5:36 AM
How many minutes are there between 3:20 PM and 8:15 PM?
295
How many minutes are there between 7:17 PM and 9:14 PM?
117
What is 468 minutes after 3:52 PM?
11:40 PM
What is 514 minutes after 10:35 PM?
7:09 AM
What is 394 minutes after 2:51 PM?
9:25 PM
How many minutes are there between 10:29 AM and 7:24 PM?
535
How many minutes are there between 5:53 PM and 7:53 PM?
120
What is 155 minutes after 5:00 PM?
7:35 PM
How many minutes are there between 9:09 PM and 12:13 AM?
184
What is 502 minutes before 7:14 PM?
10:52 AM
What is 570 minutes before 6:36 PM?
9:06 AM
What is 472 minutes before 9:43 AM?
1:51 AM
What is 697 minutes after 1:07 PM?
12:44 AM
What is 553 minutes before 9:11 PM?
11:58 AM
What is 664 minutes after 3:57 PM?
3:01 AM
What is 424 minutes before 9:11 PM?
2:07 PM
What is 538 minutes after 4:58 PM?
1:56 AM
How many minutes are there between 7:02 PM and 11:16 PM?
254
What is 391 minutes after 11:04 AM?
5:35 PM
What is 595 minutes after 5:11 PM?
3:06 AM
How many minutes are there between 7:33 AM and 1:28 PM?
355
What is 679 minutes after 7:40 PM?
6:59 AM
How many minutes are there between 3:23 AM and 2:06 PM?
643
What is 677 minutes after 1:51 AM?
1:08 PM
How many minutes are there between 8:16 PM and 1:16 AM?
300
How many minutes are there between 5:20 AM and 9:26 AM?
246
How many minutes are there between 4:01 PM and 6:52 PM?
171
How many minutes are there between 5:57 PM and 10:10 PM?
253
How many minutes are there between 2:49 PM and 11:11 PM?
502
What is 165 minutes after 1:50 PM?
4:35 PM
How many minutes are there between 5:06 PM and 10:02 PM?
296
What is 327 minutes before 3:53 PM?
10:26 AM
What is 719 minutes after 5:19 PM?
5:18 AM
How many minutes are there between 9:02 PM and 6:20 AM?
558
What is 662 minutes before 9:51 PM?
10:49 AM
How many minutes are there between 7:06 PM and 2:42 AM?
456
What is 564 minutes after 8:54 PM?
6:18 AM
What is 42 minutes before 8:45 PM?
8:03 PM
What is 63 minutes after 6:32 AM?
7:35 AM
How many minutes are there between 4:05 PM and 4:40 PM?
35
What is 27 minutes before 2:03 AM?
1:36 AM
What is 623 minutes before 4:59 PM?
6:36 AM
How many minutes are there between 10:07 AM and 6:12 PM?
485
How many minutes are there between 3:43 AM and 6:00 AM?
137
How many minutes are there between 7:41 AM and 5:27 PM?
586
What is 588 minutes after 7:09 AM?
4:57 PM
How many minutes are there between 3:49 AM and 12:17 PM?
508
What is 90 minutes after 3:58 PM?
5:28 PM
How many minutes are there between 12:51 PM and 5:15 PM?
264
What is 423 minutes after 1:46 AM?
8:49 AM
How many minutes are there between 4:43 AM and 11:10 AM?
387
How many minutes are there between 3:23 PM and 10:26 PM?
423
What is 185 minutes before 5:51 AM?
2:46 AM
How many minutes are there between 4:53 PM and 5:18 PM?
25
How many minutes are there between 8:47 PM and 9:07 PM?
20
What is 675 minutes before 12:56 PM?
1:41 AM
How many minutes are there between 8:19 AM and 1:22 PM?
303
What is 677 minutes before 8:14 PM?
8:57 AM
How many minutes are there between 1:27 PM and 11:05 PM?
578
How many minutes are there between 9:26 AM and 10:37 AM?
71
What is 585 minutes after 3:54 PM?
1:39 AM
What is 310 minutes after 2:45 PM?
7:55 PM
What is 223 minutes before 12:56 PM?
9:13 AM
What is 172 minutes before 3:22 PM?
12:30 PM
How many minutes are there between 5:50 PM and 6:01 PM?
11
How many minutes are there between 7:27 PM and 5:12 AM?
585
How many minutes are there between 11:58 AM and 9:40 PM?
582
What is 690 minutes before 9:04 PM?
9:34 AM
How many minutes are there between 8:33 PM and 5:50 AM?
557
How many minutes are there between 6:58 PM and 12:29 AM?
331
How many minutes are there between 5:27 AM and 12:12 PM?
405
How many minutes are th | {
"pile_set_name": "DM Mathematics"
} |
e prob of sequence eec when three letters picked without replacement from eecaaeca.
1/28
What is prob of sequence yge when three letters picked without replacement from yccegejyvvvg?
1/165
Four letters picked without replacement from {f: 4, d: 6, q: 4, u: 1}. What is prob of sequence fudf?
1/455
Two letters picked without replacement from {n: 3}. Give prob of sequence nn.
1
What is prob of sequence me when two letters picked without replacement from eemm?
1/3
What is prob of sequence yl when two letters picked without replacement from {r: 4, l: 2, y: 2}?
1/14
Four letters picked without replacement from {r: 1, j: 2, u: 1, z: 5}. Give prob of sequence jjzz.
5/378
Three letters picked without replacement from yydrtyytptppdtycycpy. Give prob of sequence ccr.
1/3420
Two letters picked without replacement from {r: 1, b: 2, j: 1, v: 1, c: 2}. What is prob of sequence cc?
1/21
Four letters picked without replacement from {o: 1, k: 6, r: 8}. Give prob of sequence kkrk.
8/273
What is prob of sequence mmw when three letters picked without replacement from {w: 3, y: 1, m: 2, e: 3, o: 1, a: 2}?
1/220
Two letters picked without replacement from rrcq. What is prob of sequence rq?
1/6
Two letters picked without replacement from {s: 6, a: 1, n: 5, h: 5, g: 1, o: 2}. What is prob of sequence nn?
1/19
Two letters picked without replacement from {h: 3, u: 10, v: 2, o: 2, g: 2}. Give prob of sequence uh.
5/57
Two letters picked without replacement from {n: 2, w: 1, e: 1, i: 3, l: 1, b: 11}. What is prob of sequence iw?
1/114
Two letters picked without replacement from {o: 9, k: 3, g: 4}. Give prob of sequence go.
3/20
What is prob of sequence vp when two letters picked without replacement from {p: 2, s: 5, v: 5}?
5/66
Two letters picked without replacement from {x: 4, y: 7, c: 2}. Give prob of sequence cx.
2/39
Four letters picked without replacement from {v: 3, l: 2, b: 9, t: 5}. What is prob of sequence bbvv?
3/646
What is prob of sequence lgj when three letters picked without replacement from ujujlljejrrllurlgl?
1/204
Four letters picked without replacement from {f: 3, v: 6, z: 1, h: 8}. Give prob of sequence hzvv.
1/306
Three letters picked without replacement from {d: 1, g: 7, w: 1, f: 2, h: 9}. Give prob of sequence dwh.
1/760
What is prob of sequence tx when two letters picked without replacement from tnxxygyftnny?
1/33
Three letters picked without replacement from {u: 3, d: 2, h: 1, p: 4}. What is prob of sequence huu?
1/120
Calculate prob of sequence bn when two letters picked without replacement from nqnqkqqqbqqqqkqqqbq.
2/171
Two letters picked without replacement from {s: 5, q: 1, o: 3, w: 2, n: 6}. Give prob of sequence wq.
1/136
Four letters picked without replacement from ooooooo. What is prob of sequence oooo?
1
Calculate prob of sequence dnd when three letters picked without replacement from mmnddmamnmdandm.
6/455
Three letters picked without replacement from {o: 1, e: 1, r: 1}. What is prob of sequence roe?
1/6
What is prob of sequence kkpx when four letters picked without replacement from kxpkxkkxkkpx?
2/99
Three letters picked without replacement from {o: 1, i: 1, g: 5, e: 2}. Give prob of sequence ieo.
1/252
Two letters picked without replacement from qmjqqqjqmqqqamaqc. What is prob of sequence mq?
27/272
What is prob of sequence hhh when three letters picked without replacement from {h: 14, v: 1}?
4/5
Three letters picked without replacement from ccccccxxpxxxccxxcxxc. What is prob of sequence xcp?
1/76
What is prob of sequence pb when two letters picked without replacement from {b: 5, c: 1, p: 1, w: 4, y: 1, g: 1}?
5/156
What is prob of sequence ozzz when four letters picked without replacement from kzocczzz?
1/70
What is prob of sequence dd when two letters picked without replacement from ddddddfd?
3/4
Calculate prob of sequence dqdl when four letters picked without replacement from {l: 2, d: 2, q: 1, t: 1}.
1/90
Two letters picked without replacement from {e: 9, m: 2}. What is prob of sequence em?
9/55
Three letters picked without replacement from {d: 4, w: 4, k: 3, m: 3}. Give prob of sequence kdw.
2/91
What is prob of sequence kbhh when four letters picked without replacement from hrbhbqyk?
1/420
What is prob of sequence bb when two letters picked without replacement from {h: 1, b: 2, y: 2, k: 1, o: 2}?
1/28
Four letters picked without replacement from {j: 4, b: 3, x: 1, m: 4, k: 1}. Give prob of sequence bjmk.
2/715
What is prob of sequence bkkb when four letters picked without replacement from {k: 5, l: 1, b: 12}?
11/306
What is prob of sequence sg when two letters picked without replacement from {s: 3, g: 1}?
1/4
What is prob of sequence zzzi when four letters picked without replacement from iziizz?
1/20
Two letters picked without replacement from ldedelelfsd. Give prob of sequence fd.
3/110
Two letters picked without replacement from {v: 4, z: 2, w: 5, o: 2}. What is prob of sequence zo?
1/39
Four letters picked without replacement from zozoozozzooooooooo. Give prob of sequence zzzz.
1/612
Two letters picked without replacement from {a: 4, v: 2, g: 2, r: 1}. Give prob of sequence aa.
1/6
What is prob of sequence pss when three letters picked without replacement from {i: 1, p: 1, s: 3}?
1/10
Three letters picked without replacement from wvwvvvwwwwvwwwwwwvw. Give prob of sequence vwv.
65/969
Two letters picked without replacement from {a: 2, g: 1, f: 4}. What is prob of sequence fa?
4/21
Calculate prob of sequence bi when two letters picked without replacement from {t: 2, i: 2, j: 2, b: 3}.
1/12
Four letters picked without replacement from {d: 1, r: 7, i: 2}. Give prob of sequence idri.
1/360
Calculate prob of sequence ln when two letters picked without replacement from {n: 2, l: 2, w: 1, c: 7}.
1/33
Two letters picked without replacement from {v: 3, s: 4, h: 1, t: 1, n: 4, u: 5}. What is prob of sequence hu?
5/306
Four letters picked without replacement from iccccccicicciccbi. What is prob of sequence icbi?
11/2856
Two letters picked without replacement from {n: 3, v: 2, k: 5, g: 3}. What is prob of sequence vv?
1/78
Calculate prob of sequence wwdw when four letters picked without replacement from wddwwddwwdwdw.
21/286
Two letters picked without replacement from ubbjbuiibu. What is prob of sequence bb?
2/15
Two letters picked without replacement from {m: 7, o: 3, h: 1, i: 1, e: 1}. What is prob of sequence om?
7/52
Calculate prob of sequence vy when two letters picked without replacement from {y: 1, b: 1, s: 1, v: 1, l: 1}.
1/20
Calculate prob of sequence vv when two letters picked without replacement from uhavvphhh.
1/36
What is prob of sequence yyy when three letters picked without replacement from yyyyyyyyyy?
1
What is prob of sequence hs when two letters picked without replacement from fhoofzfofzsoohffho?
1/102
Four letters picked without replacement from bhhhbbphpbbhbahbpab. What is prob of sequence phap?
1/1292
Three letters picked without replacement from {n: 4, u: 9, k: 3}. What is prob of sequence ukk?
9/560
Two letters picked without replacement from {c: 3, w: 2, y: 2, t: 11, r: 1}. What is prob of sequence ct?
11/114
Two letters picked without replacement from tjtttttttttjtjtjttjt. Give prob of sequence tj.
15/76
What is prob of sequence gy when two letters picked without replacement from yggggggygygygyyyyy?
9/34
What is prob of sequence oooo when four letters picked without replacement from ooooo?
1
Two letters picked without replacement from {r: 1, n: 4, a: 1, v: 2, t: 1}. Give prob of sequence rt.
1/72
What is prob of sequence bbbb when four letters picked without replacement from qbbqbbq?
1/35
Two letters picked without replacement from {y: 2, u: 1, j: 2, t: 2, s: 4, p: 1}. What is prob of sequence pj?
1/66
Calculate prob of sequence eh when two letters picked without replacement from {n: 2, d: 2, h: 4, e: 6, c: 1}.
4/35
Calculate prob of sequence mwm when three letters picked without replacement from cwqwwmwwqwwwm.
4/429
Four letters picked without replacement from {i: 2, y: 2, k: 1, l: 1, h: 2, s: 1}. What is prob of sequence hyyl?
1/756
Two letters picked without replacement from {g: 4, s: 8, v: 1, u: 5}. What is prob of sequence sg?
16/153
Four letters picked without replacement from zpyrbzaappazpppbyp. What is | {
"pile_set_name": "DM Mathematics"
} |
g**7/10080 - g**4/3 - 2*g. Let d(b) be the third derivative of p(b). Factor d(v).
v**2*(v - 1)**2*(2*v - 1)/4
Let n = 18 + -13. What is f in 3*f + 9 - 3*f**2 - n - 7*f = 0?
-2, 2/3
Let y(w) be the first derivative of w**5/10 - w**4 + 11*w**3/3 - 6*w**2 + 9*w/2 + 4. Factor y(d).
(d - 3)**2*(d - 1)**2/2
Let m(d) be the second derivative of -3*d**5/100 + 3*d**4/20 + d**3/10 - 9*d**2/10 - 2*d. Find o, given that m(o) = 0.
-1, 1, 3
Let l(m) = -2*m - 5. Let p be l(-4). Suppose 0 = 3*s - p - 3. Find y, given that 2*y + 2*y**2 + 7*y**2 + 10*y**3 + y**s + 2*y**2 = 0.
-1, -1/5, 0
Let p = -13 + 6. Let x = p + 11. Let 6*o**3 + 6*o - 2*o**x + o**2 - 7*o**2 - 4*o = 0. What is o?
0, 1
Factor 20*n**4 + n**3 + 8*n**5 + 12*n**5 + n**3 + 3*n**3.
5*n**3*(2*n + 1)**2
Solve 0*o + 2/7*o**4 - 1/7*o**5 + 0*o**2 + 0 - 1/7*o**3 = 0.
0, 1
Let x be -6*2*1/(-4). Suppose -5*a + 3 = 4*r, 5 - 4 = x*r + 5*a. Solve -3/5*c**r + 0*c + 4/5 - 1/5*c**3 = 0 for c.
-2, 1
Suppose 5*y - 1225 = -2*y. Let p be (-7)/(-2)*20/y. What is h in 0*h + 0*h**2 - 2/5*h**3 + 0 + p*h**4 = 0?
0, 1
Let u be (-1 - 4/(-1)) + (-221)/85. Factor -2/5*g**4 + u*g**2 + 0 - 2/5*g**3 + 0*g + 2/5*g**5.
2*g**2*(g - 1)**2*(g + 1)/5
Let k = 25 - 21. Let x(b) be the third derivative of 1/6*b**k - 1/10*b**5 + 1/30*b**6 - 1/6*b**3 + 0*b - 1/210*b**7 + 0 - 2*b**2. Factor x(o).
-(o - 1)**4
Let j(q) be the third derivative of 0*q + 0*q**3 + 0 + 1/10*q**6 + 1/84*q**8 - 1/15*q**5 + 3*q**2 + 0*q**4 - 2/35*q**7. Factor j(z).
4*z**2*(z - 1)**3
Let x(r) = -8*r**4 + 3*r**3 + 11*r**2 - 5*r - 3. Let j(m) = 9*m**4 - 3*m**3 - 12*m**2 + 6*m + 3. Let k(y) = -2*j(y) - 3*x(y). Let k(b) = 0. What is b?
-1, -1/2, 1
Let g(k) be the first derivative of -k**6/48 + k**4/16 - k**2/16 + 20. Factor g(w).
-w*(w - 1)**2*(w + 1)**2/8
Let l(m) be the second derivative of m**4/4 - 3*m**2/2 + 4*m. Factor l(v).
3*(v - 1)*(v + 1)
Let v(k) be the third derivative of k**7/7560 - k**6/720 + k**5/180 + k**4/6 - 4*k**2. Let i(j) be the second derivative of v(j). Solve i(b) = 0 for b.
1, 2
Factor 0*f - 2/5*f**5 + 0*f**4 - 4/5*f**2 + 6/5*f**3 + 0.
-2*f**2*(f - 1)**2*(f + 2)/5
Let g(d) = d**2 + 3*d + 2. Let z(b) be the second derivative of -b**4/2 - 8*b**3/3 - 11*b**2/2 - 6*b. Let u(l) = 22*g(l) + 4*z(l). Factor u(w).
-2*w*(w - 1)
Factor 6*a**2 + a**3 - 2*a**4 - 4*a**2 + a**4.
-a**2*(a - 2)*(a + 1)
Let w be (-108)/10*(-100)/30. Let m(o) be the first derivative of 2 - 36*o**3 - 27/2*o**4 - w*o**2 - 16*o. Find p, given that m(p) = 0.
-2/3
Suppose -5*o - 150 = -4*y, -5*o - 150 = -0*y + 4*y. Let m be 50/28 + o/20. Factor 0 - 2/7*h - m*h**3 + 4/7*h**2.
-2*h*(h - 1)**2/7
Let a(l) be the first derivative of -l**8/4620 - l**7/1540 + l**5/660 + 5*l**3/3 + 5. Let b(n) be the third derivative of a(n). Factor b(o).
-2*o*(o + 1)**2*(2*o - 1)/11
Let a(l) = l**3 + 3*l - 2. Let c(d) = -2*d**3 - d**2 - 7*d + 5. Let n(j) = -5*a(j) - 2*c(j). Determine s so that n(s) = 0.
0, 1
Let j(n) be the third derivative of -8*n**7/21 - 19*n**6/3 - 107*n**5/4 + 475*n**4/12 - 125*n**3/6 + 7*n**2. Factor j(y).
-5*(y + 5)**2*(4*y - 1)**2
Let d(j) = j**2 + 8*j + 3. Let t be d(-8). Factor 4*m**3 - t*m**2 - 4*m + 2*m**2 + 0*m**2 + 1.
(m - 1)*(m + 1)*(4*m - 1)
Let 13*r**3 - 2*r**4 + 6*r**5 - 2*r**2 - 3*r**3 - 12*r**4 = 0. Calculate r.
0, 1/3, 1
Let g = -77/9 - -80/9. Determine u, given that g + 1/6*u**3 - 1/2*u + 0*u**2 = 0.
-2, 1
Let h(k) be the third derivative of 0*k**3 - 1/84*k**4 + k**2 + 0 + 0*k + 1/105*k**5 - 1/420*k**6. Find l such that h(l) = 0.
0, 1
Let p(k) be the second derivative of k**5/10 + 3*k**4/2 + 9*k**3 + 27*k**2 - 22*k. Let p(q) = 0. Calculate q.
-3
Let x(i) be the second derivative of -i**7/21 + i**5/10 + 4*i. Factor x(l).
-2*l**3*(l - 1)*(l + 1)
Solve 11*x**2 - 2*x**3 - 1 - 17*x**2 - 3 + 10*x + 2*x**4 = 0 for x.
-2, 1
Factor 15*m**2 + 2*m - 7*m + 16 - 35*m - 67*m**2 - 14*m**3.
-2*(m + 2)**2*(7*m - 2)
Let n(a) be the third derivative of -a**4/24 + 4*a**2. Let p be n(-2). Find u such that 4/3*u**3 - 1/3 + 1/3*u**p - 4/3*u = 0.
-1, -1/4, 1
Suppose -20 = -3*u - 2*u. Let i = u + -2. Factor -i*t**2 - 2*t - 2*t**4 + 2*t**3 + 4*t**2 + 0*t**2.
-2*t*(t - 1)**2*(t + 1)
Let f(y) = y**2 - 1. Let r(l) = 3*l**3 - l**2 - 3*l - 15. Let g(o) = -f(o) + r(o). Let d(x) = -x**3 + x**2 + x + 5. Let p(c) = -8*d(c) - 3*g(c). Factor p(z).
-(z - 1)*(z + 1)*(z + 2)
Let b = -11/6 + 67/30. Determine l so that 2*l**2 + 4/5*l + 0 + b*l**4 + 8/5*l**3 = 0.
-2, -1, 0
Let g(k) = 5*k - 33. Let z be g(7). Find w, given that 4/11*w + 0*w**z - 4/11*w**3 + 2/11*w**4 - 2/11 = 0.
-1, 1
Let g(h) = -2*h - 6. Let b be g(-4). Let s be (-3)/(9/12)*(-7)/8. Suppose 7/2*p - 1 - s*p**3 + p**b = 0. Calculate p.
-1, 2/7, 1
Solve 2/13*t**4 + 6/13*t**3 + 6/13*t**2 + 0 + 2/13*t = 0.
-1, 0
Suppose 4*c - 2 = 6. Suppose -c*f = f. Factor 2/9*g**3 + 0 + 2/9*g**2 + f*g.
2*g**2*(g + 1)/9
Let f be 2/(-56) + (600/42 - 14). Factor -f*w - 1/4*w**3 + 1/2*w**2 + 0.
-w*(w - 1)**2/4
Let a = 9 - 1. Let t be 5*-1*a/(-5). Find n such that t + 12*n**2 - 16*n + 1/2*n**4 - 4*n**3 = 0.
2
Let r = 20 - 19. Let v(a) = -4*a**3. Let i(b) = b**3 - b**2 + b + 1. Let j(w) = r*v(w) + 2*i(w). Let j(t) = 0. Calculate t.
-1, 1
Let r(o) be the third derivative of 7*o**6/20 + o**5/20 - 5*o**4/4 + 3*o**3/2 + 10*o**2. Factor r(u).
3*(u + 1)*(2*u - 1)*(7*u - 3)
Let n(i) be the first derivative of 2*i**5/25 - i**4/10 - 9. Determine c so that n(c) = 0.
0, 1
Let b(v) be the third derivative of 49*v**6/80 + 7*v**5/10 + v**4/4 + 11*v**2. Factor b(j).
3*j*(7*j + 2)**2/2
Suppose 4 = 2*l - 0. Suppose 0*b**l + 2*b**2 - 2*b - 4 + 0*b = 0. Calculate b.
-1, 2
Let o(d) = d**2 + 2*d + 1. Let a be o(-2). Factor -4*l - 2 - a + 3 - 10*l**2.
-2*l*(5*l + 2)
Let b(h) be the second derivative of -h**9/30240 + h**8/6720 - h**7/5040 + h**4/12 + h. Let i(d) be the third derivative of b(d). Suppose i(l) = 0. What is l?
0, 1
Factor -8/7*w**2 - 2/7 + 10/7*w.
-2*(w - 1)*(4*w - 1)/7
Let g be ((-1)/(-5))/(4/(-4804)). Let u = g - -241. Find k such that -6/5*k**2 + 0 - 2/5*k**3 - u*k = 0.
-2, -1, 0
Let l = 436 + -3049/7. Solve 6/7*r - 3/7*r**2 - l*r**3 + 0 = 0.
-2, 0, 1
Let t(n) be the first derivative of -n**6/360 + n**4/72 + n**2 + 3. Let m(x) be the second derivative of t(x). Solve m(d) = 0 for d.
-1, 0, 1
Let z(c) be the third derivative of 1/30*c**6 + 0 + 0*c - 2/3*c**3 + 7*c**2 + 1/2*c**4 - 1/5*c**5. Solve z(r) = 0 for r.
1
Let l(x) = -x**5 + x**3 + x. Let i(s) = s**5 - 4*s**4 - s**3 + 4*s**2 - 5*s. Let z(m) = -i(m) - 5*l(m). Solve z(p) = 0 for p.
-1, 0, 1
Let o(u) be the second derivative of -u**7/10 - 8*u**6/25 - 33*u**5/100 - u**4/10 + 8*u + 1. Suppose o(f) = 0. What is f?
-1, -2/7, 0
Let q(h) = -110*h**2 - 265*h - 45. Let w(x) = 5*x**2 + 12*x + 2. Let l(s) = 2*q(s) + 45*w(s). Suppose l(m) = 0. What is m?
-2, 0
Let k(g) be the third derivative of -g**9/141120 + g**8/47040 + g**7/5880 + g**5/30 + 4*g**2. Let r(d) be the third derivative of k(d). Factor r(x).
-3*x*(x - 2)*(x + 1)/7
Let w(c) = c**4 - c**3 - 3*c**2 + 7*c - 3. Let t(a) = a**3 - a + 1. Let d(v) = t(v) - w(v). Find p such that d(p) = 0.
-2, 1, 2
Find k, given that 32*k + 6*k**4 + 12*k**4 + 2*k**4 + 40*k**3 - 80*k**2 - 12*k**5 = 0.
-2, 0, 2/3, 1, 2
Let t be -1 + (3 - (0 + 5)). Let j be (-3)/(-2) + t/2. Suppose 0 - 2/3*o**2 - 2/3*o**3 + j*o = 0. Calculate o.
-1, 0
Let m be 0 + 1 - (-40)/(-42). Let y(s) be the second derivative of 1/14*s**5 - 2/7*s**2 - 5/21*s**3 + 0 + m*s**4 + s. Suppose y(p) = 0. What is p?
-1, -2/5, 1
Let l(r) be the first derivative of 2/5*r + 1/25*r**5 - 7 - 1/5*r**3 + 1/10*r**2 - 1/20*r**4. Suppose l(c) = 0. What is c?
-1, 1, 2
Let h(u) be the second derivative of u**8/6720 + u**7/1260 + u**6/720 + u**4/4 + 2*u. Let g(b) be the third derivative of h(b). What is l in g(l) = 0?
-1, 0
Find c such that -3*c**2 - 1 + 3*c + 11 - 4 = 0.
-1, 2
Let k(f) = -5*f + 75. Let n be k(15). Factor 0*z - 4*z**4 + n + 3/2*z**5 + 7/2*z**3 - z**2.
z**2*(z - 1)**2*(3*z - 2)/2
Let f = -1214/3 + 408. Suppose 14/3*h**4 + 0*h + 16/3*h**3 - f*h**5 - 8/3*h**2 + 0 = 0. Calculate h.
-1, 0, 2/5, 2
Suppose -4*s = 7 - 3. Let w = s + 3. Let -z**2 + z**2 + z**w = 0. What is z?
0
Let d(z) = -z**2 + 2. Let r(k) = 10*k**2 - k - 13*k**2 - 4 + 9. Let h(m) = -15*d(m) + 6*r(m). Factor h(v).
-3*v*(v + 2)
Suppose 0 = -u - 1 - 3, -4*j + u + 52 = 0. Let t | {
"pile_set_name": "DM Mathematics"
} |
). Solve s - 3 = 2*i, q*s - 5*s = -3*i - 3 for i.
-3
Let x(z) = -z**2 + 23*z - 58. Let j be x(20). Solve -j*b = -3*t + 7, 0 = b - 2*b - 2*t + 7 for b.
1
Let b = -265 - -269. Solve 3*k - 10 = 2*v - 0*v, -5*v = 3*k + b for k.
2
Let z(w) = 2*w**3 - 21*w**2 + 11*w. Let u be z(10). Solve -4*h - q - 5 = 12, 5*h = -5*q - u for h.
-5
Let n = 48 + -46. Solve 4*d + 4*z + 12 = 0, 0 = n*d + 5*z + 21 - 0 for d.
2
Suppose -5*r + 5 = -0*r. Let a = r + 1. Let q = -61 + 66. Solve -3*i = -q*o - 40, -a*i + 3*o = -19 - 6 for i.
5
Let s = 216 - 214. Solve m = -s*d + 10, 4*d - 13 - 1 = m for d.
4
Suppose 2*y = -4, -10 = -5*z + 4*y - 2. Solve -9 = -3*r, 5*c - 2*r + 0*r + 21 = z for c.
-3
Let x be (-6)/(-18) - 82/(-6). Solve 2*w = -2*c + 12, 0*w = 3*c + w - x for c.
4
Suppose 25*t - 22*t = 48. Solve 2*n - t = -4*l, 4*l - 4*n + 7*n = 14 for l.
5
Let g(a) = a**3 + 13*a**2 + 11. Let j(b) = -4 + 0*b + 0*b + 3*b - 4*b. Let f be j(9). Let s be g(f). Solve -5*q = 5*k + 40, -4*k + s = 31 for q.
-3
Suppose 5*h + 97*j = 96*j + 55, -4*j + 11 = h. Solve 3*p - h = -2*l, l + l - 5*p = 3 for l.
4
Suppose 0 = -4*v - 2*k - 268, 5*v + 356 = -k + 27. Let s = 71 + v. Solve -2*u + s = 2*c, -3*c - u + 19 = 2*c for c.
4
Let x = 7 - 22. Let q(f) = -f - 11. Let n be q(x). Solve 5*j - 4*w = -20, -10 = 3*j + n*w + 2 for j.
-4
Let i(v) = -2*v**2 + 1. Let r(o) = -o**2 - o + 1. Let g(f) = i(f) - 3*r(f). Let d be g(1). Solve -h + 4*s - s = 0, 3*h - 11 = -d*s for h.
3
Let o be (117/26 + -15)*(-4)/14. Solve -3*c + o*r = 9, c - r - r + 8 = 0 for c.
2
Suppose 0 = -8*a + 21 + 11. Solve -a*d + 1 = -5*d - 4*b, -2*b = -d - 7 for d.
-5
Let b(g) = -2*g - 12. Let c(f) = -f - 6. Let p be c(3). Let i be b(p). Solve -i*z + 2*z = -4, -4*x - z - 19 = 0 for x.
-5
Let l(n) = 3*n - 18. Let q be l(6). Solve -2*i = -4*v - 10, q = -5*v - 5*i - 10 - 40 for v.
-5
Suppose 35*u - 11 - 164 = 0. Suppose -t = -2*t + 2. Solve -5*o = 5, -2 = -t*i + o - u for i.
-2
Let h be 2 + 3 - (4 + -2). Solve -24*b + 20*b - h*p = -15, -4*p = -20 for b.
0
Suppose 0 = -97*v + 94*v + 9. Solve 4*l = -v*n - 11, 5*l = 3*n - 2*n + 10 for n.
-5
Let f be ((-6)/14)/((-18)/126). Let r = 11 - 6. Let u = r - 3. Solve -2*j + u = -2*x, x + j - 4 = f*x for x.
-3
Suppose -5*u - 1 + 6 = -5*n, 4*u - 11 = -3*n. Let i be (5 - n/1) + 0. Solve -y - 6 = -3*y + j, -4*j = -y - i for y.
4
Let n be (9 + -13)*5/(-4). Suppose n*x + 12 = 8*x. Suppose 3*w - 9 = -3*i, -4*w + 12 = x*i - 7*w. Solve 4 = 2*k - 4, i*z + 7 = k for z.
-1
Let k(c) = c**3 + 5*c**2 + 3*c - 3. Let p be k(-4). Suppose -30 = -82*a + 76*a. Solve l + p = 2*u + 3, -5*u - a = 4*l for l.
0
Suppose -881 = d - 882. Solve -3*h = 3*p - 18, -2*p - 3 = -5*h - d for p.
4
Let f be 2/5 + 25/((-875)/(-126)). Solve o - 2*k + 11 = 0, 5*o = f*o + 4*k - 19 for o.
-3
Suppose 4*t = 2*t - 4*t. Suppose 5*l + t*l - 13 = 2*b, l - 1 = 2*b. Solve 0 = 4*m + j + b, -2*m - 3*j + 6 = -1 for m.
-1
Let w = -48 + 52. Let y be (4/2)/(366/(-93) + w). Solve -4*g = 4*i - 32, -5*i + 3 + y = 3*g for g.
3
Suppose 3*o - 58 = -5*l, 16*l + 5*o - 16 = 15*l. Solve 4*g - l*r + 13*r - 18 = 0, 3 = -3*r for g.
5
Let w be (-2)/9 - (-228)/54. Let f(y) = -6*y**3 - 2*y**2 - 4*y - 2. Suppose -3*h = 2*h + 5. Let a be f(h). Solve -3*j - 12 - a = -3*u, w*j + 15 = u for u.
3
Let w be 57/(7 + -7 - (-6)/4). Let z = -16 + w. Solve -4*i - 4*h - 6 = -2*h, -2*i + 4*h = -z for i.
1
Let n(i) = 8*i**2 - i. Let h be n(2). Suppose -4*l = -14 - h. Suppose y + 5*o = -0*y + 9, -25 = -5*y - 5*o. Solve 3*w + 13 = u, y*u + l = u - w for u.
-2
Suppose 2*o - 8 = b, o - 2*o = b - 7. Suppose 0 = 6*m + 17 - 65. Solve 19 = -3*f - b*w - 2*w, 2*w = -m for f.
-1
Let u = 89 + -84. Solve t = -2*h, 5*t - h - 27 = -u for t.
4
Let v = -12 - -10. Let o = v - -4. Solve -12 = 4*s + o*i, s = 5*i - 9 - 5 for s.
-4
Suppose 4*m + 9 = 1, -15 = -h + 5*m. Suppose 4*w - 23 = 57. Suppose -h*c + w = -20. Solve -k + c = 4*l + 1, -5*l - k = -9 for l.
2
Suppose 5*g = 10, 3*q + 4*g - 15 = g. Solve 1 = -o + 6, q*w - 11 = -4*o for w.
-3
Let z be ((-9)/4)/((-9)/36). Suppose 0 = -z*w + 8*w + 4. Solve v = -w*y - 0*v + 7, 0 = 2*y + 4*v for y.
2
Let l be 2/(-5) + 0 - (-2)/5. Solve 3*b + l*m = m + 2, m + 4 = 5*b for b.
1
Let s = 29 - 27. Solve -f + s = 3*y - 6, 5*y - 4*f = 2 for y.
2
Let k(h) = -18*h - 121. Let u be k(-7). Solve 0 = 4*p + 4, -u*w = -3*w + p - 1 for w.
1
Let x = -5 - -12. Suppose r + 3 - x = 0. Suppose 2*n = -0*n + r*y + 16, 2*n = 3*y + 20. Solve -w = 3*f - n, 0*f - 4*f + w = -12 for f.
4
Let o = 2137 - 2135. Solve 2*g = 3*u - 5, -o*g + 0*g - 2 = 0 for u.
1
Suppose -3*m + 6 = -3*q, -3*m - 19 + 41 = 5*q. Suppose 15 - 3 = 3*f. Solve -2*p = r - 11, q - 18 = f*r - 4*p for r.
1
Let n(t) = -t - 17. Let r be n(-11). Let z be 0/(-4) - r - 4. Solve 7*d = -3*m + z*d + 15, 2*d = 6 for m.
0
Let k be (9/18)/(2/12). Solve -5*j = k*f - 27, -4*j = -3 - 9 for f.
4
Let i = 54 + -33. Let o = -23 - -41. Let c = i - o. Solve p = c*s - 5, 3*s - 1 = 4*p + 1 for s.
2
Let s = 69 + -75. Let x be (s/(-4))/(-4 - (-166)/40). Solve f - 5 = 4*b, 5*f = -2*b + 3*f + x for b.
0
Let o(g) = g**2 + 20*g + 115. Let k be o(-13). Solve 0*y + k = 2*p + 4*y, 20 = 4*y for p.
2
Let x(f) = -3*f + 8. Let z be x(2). Suppose 0 = b - v - 6, -z*b = -3*b - 3*v + 2. Solve 0 = -5*r - b*l, -4*l - 10 = -30 for r.
-5
Let s = -381 - -381. Solve -2*r + 2*d + 8 = s, 2*d = -d - 6 for r.
2
Suppose 3*u - 78 = -4*w, u - 19 + 53 = 2*w. Solve v - 4*o + w = 0, -4*v = -o - 4*o + 17 for v.
2
Suppose 4*j = c - 5*c + 436, -3*j - 5*c + 337 = 0. Let p = -100 + j. Solve p*y + 20 = -3*b, y = 5*b + 1 + 17 for b.
-4
Suppose -4*j + 28*j - 48 = 0. Solve 4*l - j*f + 10 = 0, 2 - 6 = l + f for l.
-3
Suppose 17*b - 8 = 13*b. Let k be 44/16 - b/(-8). Solve k*l - 4 = -2*t, 2*t - 2*l - 4 = 3*l for t.
2
Let y be (0 + -1)/(-1) + 1. Let h be -1 - 2 - (-96)/16 - -9. Suppose y*k + h = 5*k. Solve 7*q - 2*p = 2*q - 7, -q + k*p + 13 = 0 for q.
-3
Suppose -3*u + 21 = -3*p - 9, -5*p = -u - 10. Let s = u + -8. Let l(a) = a - 5. Let k be l(11). Solve -4*z + k = -7*v + 2*v, z - s = 4*v for v.
-2
Suppose 2*i + 160 = -4*j, 5*i + j + 82 = 4*i. Let n = 87 + i. Solve 0 = -5*g - n*u - 27, 2*g + 2*g = -3*u - 24 for g.
-3
Suppose 247*i - 253*i = -90. Solve c - i = 4*w, 5*c - 3*w + 7 = -3 for c.
-5
Let x be 6/(-2) + (-3 - -14). Let b be x + -2*(-8)/(-4). Solve -b*m - 10 = 2*n - 2*m, 4*n + 15 = -3*m for n.
0
Suppose 20 = -0*k + 5*k. Let s = -34 - -43. Let y be 5/(10/(-4)) - -7. Solve -k*c + 8 = -j, -s = c - y*j - 30 for c.
1
Let v be (0*(-19)/304)/(0 - -3). Let d be 2/4*(-2 + 6). Solve v*a - 6 = 2*a - 3*y, -d = -a - y for a.
0
Let r = 11 - 4. Let p(h) = -h + 9. Let q be p(r). Suppose 3*y + 2*n = 12, 0*y = q*y - 2*n + 2. Solve 3*g - 12 = -5*f, -y = 5*g + 3 for f.
3
Suppose 0 = -2*j - 5*k - 0*k - 18, -15 = j + k. Let m = j - -23. Solve -r = 3*p - 2*r - m, 2*p = -3*r + 21 for p.
3
Let l = -13 - -19. Suppose 13 - 18 = -o. Solve -l - 31 = 4*y - o*s, 3*y - 16 = -5*s for y.
-3
Let t be 0/2 - 2 - -3. Let b be (t + 4)/1 + -2. Let p = 2046 - 2043. Solve -2*d + b*w + 7 = 0, p*w - 5*w = 10 for d.
-4
Let j be (72 - 69)/((-6)/(-4)). Let l be 6/(-15) + (-12)/(-5). Solve -5*y + j*m = 2, -l*m = -1 - 1 for y.
0
Let b = -2073 - -2078. Solve b*w = -4*s - 13, s + 29 = 4*s - 4*w for s.
3
Let a = 14 - -1. Let o = a + -10. Suppose -3*z + 4*w + 3 = -2, -z - 5*w = -8. Solve 5*h + 5 = 0, -z*h + 7*h - 16 = -o*b for b.
4
Suppose 631*p = 601*p + 180. Solve 2*z + 4 = -2*f, -z + p*z - 5*f = -30 for z.
-4
Suppose 98 = -11*c + 18*c. Let m = -10 + 14. Solve t = -2*t + m*a - c, 0 = t + 5*a - 8 for t.
-2
Let q(r) = -4*r**3 - 5*r + r**2 + 1 + 5*r**3 + 2 + 4*r. Let m be q(0). Solve 5*w - 5 = a - 28, 11 = -w - m*a for w.
-5
Let g(j) = 13*j - 91. Let h be g(7). Suppose 2*n = n. Solve 3*i = -3*c, -4*i + n*c + 4*c = h for i.
0
Suppose 0 = 2*z + 27*z. Solve -6*g = 5*n - 4*g + 17, n + 3*g - 7 = z for n.
-5
Let t be (-1 + (-1 - -3))*2. Let f be t - ((-8)/2)/4. Suppose 4*j = 5*c + 23, -j + f*c - c + 8 = 0. Solve 4*y + 5 = 5*y, -4*b + j*y = 22 for b.
-3
Let g = 23 + -23. Suppose g = 5*o + 38 + 2. Let h = o - -12. Solve 4*u - 35 = -9*n + h*n, 4*u = -n + 23 for u.
5
Let a = 115 - 122. Let i = -2 - a. Solve 0 = w - 0 + 1, -23 = -i*p + 3*w for p.
4
Let q be 19 - (1/3)/(23/138). Let g = 3 - 4. Let f = 14 - g. Solve q = -4*m + 3*w, 2*m - 5*w - f = 4*m f | {
"pile_set_name": "DM Mathematics"
} |
kilograms are there in 612956.1 micrograms?
0.0006129561
What is 3.010535nm in meters?
0.000000003010535
What is 0.0722379 decades in centuries?
0.00722379
Convert 39.9755 decades to years.
399.755
What is 76/5 of a litre in millilitres?
15200
How many years are there in 29/5 of a millennium?
5800
What is fifteen quarters of a minute in seconds?
225
How many nanometers are there in 6/25 of a micrometer?
240
What is 3/5 of a centimeter in millimeters?
6
Convert 2.30138 centimeters to nanometers.
23013800
How many months are there in 7.847988 millennia?
94175.856
How many micrometers are there in one tenth of a millimeter?
100
How many seconds are there in 2/15 of a hour?
480
What is 7/8 of a litre in millilitres?
875
Convert 496.3017ug to kilograms.
0.0000004963017
What is fifteen quarters of a litre in millilitres?
3750
How many tonnes are there in 0.5944447 kilograms?
0.0005944447
What is 7/8 of a meter in millimeters?
875
What is 26/5 of a gram in milligrams?
5200
What is 6/25 of a second in milliseconds?
240
What is 6/25 of a gram in milligrams?
240
How many months are there in 67/4 of a century?
20100
How many hours are there in twenty-nine thirds of a week?
1624
Convert 997.4854mm to meters.
0.9974854
What is 239.0516 centuries in millennia?
23.90516
How many days are there in sixty-six sevenths of a week?
66
What is 0.1474406 years in decades?
0.01474406
What is seven fifteenths of a minute in milliseconds?
28000
What is twelve sevenths of a week in minutes?
17280
What is one fifth of a meter in millimeters?
200
Convert 50.70193nm to micrometers.
0.05070193
What is three fifths of a century in months?
720
How many months are there in 99.98374 centuries?
119980.488
What is 11/10 of a tonne in kilograms?
1100
How many nanometers are there in 1129.209 centimeters?
11292090000
How many months are there in 11/4 of a millennium?
33000
What is 4869578.07 minutes in weeks?
483.0930625
What is 1/15 of a hour in seconds?
240
How many litres are there in 379206.8ml?
379.2068
How many centuries are there in 0.8543994 decades?
0.08543994
How many decades are there in 5/4 of a millennium?
125
How many litres are there in 0.1013073 millilitres?
0.0001013073
What is 3/5 of a millimeter in micrometers?
600
What is 7/4 of a tonne in kilograms?
1750
What is 205.958 millimeters in centimeters?
20.5958
How many kilograms are there in 407.1461 micrograms?
0.0000004071461
What is 0.9001535ms in nanoseconds?
900153.5
How many micrograms are there in 6634.052 tonnes?
6634052000000000
How many milligrams are there in 33/5 of a gram?
6600
Convert 134947.5l to millilitres.
134947500
How many litres are there in 9937.3 millilitres?
9.9373
How many kilometers are there in 280986.4um?
0.0002809864
What is 41852.51 litres in millilitres?
41852510
How many millimeters are there in 3/8 of a meter?
375
What is 7868.915l in millilitres?
7868915
How many hours are there in 7/4 of a day?
42
What is 67.06964 weeks in milliseconds?
40563718272
Convert 771.2761 decades to millennia.
7.712761
What is 0.093396 litres in millilitres?
93.396
How many nanometers are there in seven eighths of a micrometer?
875
How many milliseconds are there in 907331.4 days?
78393432960000
How many nanograms are there in six fifths of a microgram?
1200
What is 414.846 weeks in hours?
69694.128
How many years are there in 15/4 of a millennium?
3750
What is 9.607529 decades in centuries?
0.9607529
How many seconds are there in 1/10 of a hour?
360
Convert 56.45989 years to millennia.
0.05645989
How many millilitres are there in twenty-one quarters of a litre?
5250
What is 4/15 of a day in seconds?
23040
How many months are there in 0.8311126 years?
9.9733512
Convert 0.985831 hours to nanoseconds.
3548991600000
What is 274351.5 millilitres in litres?
274.3515
Convert 9619.206 millilitres to litres.
9.619206
How many months are there in 7/3 of a decade?
280
What is 53.73016 centuries in millennia?
5.373016
Convert 8198.024 millilitres to litres.
8.198024
How many minutes are there in one quarter of a day?
360
What is three tenths of a litre in millilitres?
300
Convert 28602.86um to meters.
0.02860286
What is 0.4979129cm in meters?
0.004979129
What is 8075.229 decades in centuries?
807.5229
What is 8/7 of a week in minutes?
11520
What is 13.24529 meters in centimeters?
1324.529
What is fourty-one halves of a decade in months?
2460
How many nanograms are there in 3/32 of a milligram?
93750
What is 2221.1364 months in centuries?
1.850947
Convert 22706.646 months to centuries.
18.922205
How many decades are there in 57/5 of a century?
114
How many nanoseconds are there in 7/2 of a microsecond?
3500
What is 13968.13 centuries in decades?
139681.3
How many seconds are there in 27/4 of a hour?
24300
How many nanoseconds are there in 8706.459 seconds?
8706459000000
How many minutes are there in 1/5 of a hour?
12
What is 9/10 of a microgram in nanograms?
900
What is six fifths of a litre in millilitres?
1200
What is 637381.7 nanograms in grams?
0.0006373817
What is 25/4 of a century in years?
625
What is 0.0970762 tonnes in grams?
97076.2
What is 51/7 of a week in hours?
1224
Convert 8093.479ng to micrograms.
8.093479
Convert 4947.338 millimeters to nanometers.
4947338000
What is 11/2 of a day in hours?
132
What is 99.28307 grams in micrograms?
99283070
What is 468275.1 millilitres in litres?
468.2751
Convert 0.8783485 years to millennia.
0.0008783485
Convert 17326.67 weeks to minutes.
174652833.6
What is 17/2 of a centimeter in micrometers?
85000
Convert 1145401.2 months to decades.
9545.01
What is 7/8 of a millisecond in microseconds?
875
What is 3/5 of a kilometer in centimeters?
60000
How many months are there in 13/4 of a year?
39
How many decades are there in 1/4 of a millennium?
25
How many millilitres are there in 749.1911 litres?
749191.1
How many milligrams are there in one quarter of a gram?
250
How many kilometers are there in 5450.645cm?
0.05450645
What is seven fifteenths of a day in minutes?
672
What is 837905.88 hours in weeks?
4987.535
How many minutes are there in 15.74223 days?
22668.8112
How many millilitres are there in 849971.3l?
849971300
What is 5/6 of a day in hours?
20
What is 8758.22 millennia in decades?
875822
What is 97659.38t in milligrams?
97659380000000
Convert 273.9543 milligrams to kilograms.
0.0002739543
How many years are there in three tenths of a century?
30
What is 18/5 of a kilometer in meters?
3600
What is 3/25 of a gram in milligrams?
120
How many kilograms are there in 11/4 of a tonne?
2750
How many kilograms are there in 1/5 of a tonne?
200
How many millilitres are there in fourty-nine quarters of a litre?
12250
What is 55/2 of a litre in millilitres?
27500
Convert 5284.016 milligrams to nanograms.
5284016000
What is 871.6806 microseconds in nanoseconds?
871680.6
What is one sixteenth of a kilogram in milligrams?
62500
Convert 605106.18 microseconds to days.
0.00000700354375
What is 3/8 of a meter in millimeters?
375
What is 30.92927 meters in centimeters?
3092.927
Convert 34152.06 millilitres to litres.
34.15206
How many seconds are there in 42.33173 milliseconds?
0.04233173
How many months are there in six fifths of a millennium?
14400
How many months are there in two fifteenths of a century?
160
What is 4.132973 minutes in microseconds?
247978380
How many millilitres are there in 27/2 of a litre?
13500
What is 18/5 of a milligram in micrograms?
3600
How many grams are there in 795015.3mg?
795.0153
How many years are there in thirty-one halves of a century?
1550
What is 270580.8 millilitres in litres?
270.5808
What is 19569.64 years in decades?
1956.964
How many years are there in 7/2 of a millennium?
3500
How many nanograms are there in 2.810824 kilograms?
2810824000000
What is 0.2989042 minutes in milliseconds?
17934.252
Convert 2.926914 months to decades.
0.02439095
What is seventy-three fifths of a gram in milligrams?
14600
How many nanometers are there in 0.401566 millimeters?
401566
What is 1/10 of a litre in millilitres?
100
How many kilograms are there in 379.7776g?
0.3797776
What is 31/2 of a microsecond in nanoseconds?
15500
How many nanograms are there in 954.0726 grams?
954072600000
Convert 5333.422 millennia to decades.
533342.2
How many millilitres | {
"pile_set_name": "DM Mathematics"
} |
7144 and 273409.
373
Calculate the greatest common factor of 29001936 and 1887408.
12336
Calculate the highest common factor of 4023 and 7443.
9
What is the highest common divisor of 8555 and 987365?
295
What is the greatest common divisor of 35717 and 52921?
187
Calculate the highest common factor of 1930905 and 1080.
135
Calculate the greatest common divisor of 339064368 and 19182.
834
Calculate the greatest common divisor of 106547 and 1309497.
3437
Calculate the highest common divisor of 3560 and 14495720.
40
What is the highest common factor of 910 and 6614426?
182
Calculate the greatest common divisor of 531 and 5947155.
9
What is the highest common divisor of 15087501 and 55575?
2223
Calculate the greatest common divisor of 2097 and 3277378.
233
Calculate the highest common factor of 1214353028 and 7.
7
Calculate the highest common divisor of 1215 and 3135105.
405
Calculate the highest common factor of 370581893 and 671.
671
Calculate the highest common divisor of 278432 and 4620.
308
Calculate the greatest common divisor of 4422 and 1702604.
134
Calculate the highest common divisor of 38320 and 48880.
80
What is the greatest common factor of 143655 and 338550?
915
Calculate the greatest common factor of 41002 and 4482166.
2158
What is the highest common factor of 13851 and 73521?
27
Calculate the greatest common divisor of 466550 and 178493.
301
What is the highest common factor of 18178347 and 33?
33
Calculate the greatest common factor of 9235515 and 352185.
795
What is the greatest common factor of 1912292 and 47557?
2503
What is the greatest common divisor of 4703571 and 699?
699
Calculate the highest common divisor of 682 and 30417014.
62
Calculate the highest common divisor of 3791286 and 387360.
4842
Calculate the highest common divisor of 187683 and 4774347.
2571
Calculate the highest common divisor of 144 and 36288531.
9
What is the greatest common divisor of 30007936 and 5136?
1712
What is the highest common divisor of 19479 and 35931054?
453
Calculate the greatest common divisor of 4944643 and 407.
407
What is the highest common factor of 1329 and 37337369?
443
Calculate the highest common divisor of 20790 and 19231905.
1155
Calculate the greatest common divisor of 21 and 6533362.
1
What is the highest common divisor of 15400 and 51561400?
2200
What is the highest common divisor of 649 and 23854821?
59
Calculate the greatest common factor of 21 and 4066923.
21
Calculate the greatest common divisor of 112594496 and 14.
14
What is the greatest common divisor of 218149410 and 48?
6
What is the highest common factor of 444011188 and 2388?
796
What is the greatest common divisor of 5592846 and 56?
14
Calculate the greatest common divisor of 1001672 and 4712.
248
Calculate the highest common divisor of 37630 and 363580.
530
Calculate the highest common factor of 3152 and 5382288.
16
What is the highest common factor of 627 and 572679?
57
Calculate the highest common factor of 1843 and 26675.
97
What is the greatest common factor of 344448 and 39790?
46
What is the highest common factor of 331400 and 21800?
200
Calculate the highest common factor of 9371299 and 294.
49
What is the greatest common factor of 190 and 212274770?
10
What is the highest common divisor of 78744048 and 1856?
464
What is the greatest common factor of 526 and 13054?
2
Calculate the highest common factor of 28388590 and 930.
10
What is the highest common divisor of 1827507 and 308?
11
Calculate the greatest common factor of 480899736 and 16.
8
Calculate the greatest common divisor of 2194332 and 43077.
519
What is the highest common factor of 1634 and 32149982?
86
Calculate the greatest common factor of 521697 and 27.
3
What is the greatest common divisor of 4600491 and 357?
21
Calculate the greatest common divisor of 478 and 341951401.
239
What is the highest common divisor of 505625 and 10852735?
4045
What is the greatest common factor of 54 and 590481?
9
What is the highest common factor of 12518 and 8243672?
1138
What is the highest common divisor of 175997332 and 37436?
5348
What is the highest common divisor of 363787320 and 120?
120
What is the highest common divisor of 124 and 1324161869?
31
What is the greatest common factor of 9848023 and 2051?
293
Calculate the greatest common factor of 57153900 and 57.
57
Calculate the highest common divisor of 784 and 245022960.
112
Calculate the highest common divisor of 1332341 and 13423.
433
Calculate the highest common factor of 304 and 69210616.
152
Calculate the highest common divisor of 1129 and 185574859.
1129
Calculate the highest common divisor of 674860 and 1580.
20
What is the highest common divisor of 1283541 and 84?
21
Calculate the highest common divisor of 10727541 and 66.
33
What is the highest common factor of 10 and 797732?
2
Calculate the greatest common divisor of 90 and 2708490.
30
Calculate the greatest common factor of 3128 and 924698.
34
Calculate the highest common divisor of 2471761 and 2491.
53
What is the greatest common factor of 1654 and 144872206?
1654
What is the greatest common factor of 290512 and 73700?
268
Calculate the greatest common divisor of 75082 and 9114.
434
Calculate the greatest common factor of 8555260 and 212.
212
What is the greatest common divisor of 2854410 and 6756?
3378
Calculate the highest common divisor of 194 and 5237321.
97
What is the highest common factor of 314352 and 475128?
72
What is the highest common divisor of 4663922 and 538?
538
What is the highest common divisor of 3700732 and 20?
4
What is the greatest common factor of 22 and 76806862?
22
Calculate the greatest common factor of 122112 and 363156.
636
Calculate the greatest common factor of 7072 and 1330420.
884
What is the greatest common divisor of 1446 and 29167989?
723
What is the highest common factor of 11689120 and 10?
10
What is the highest common divisor of 322728 and 5?
1
Calculate the highest common divisor of 162203145 and 975.
195
What is the highest common factor of 60461648 and 48412?
988
Calculate the greatest common factor of 63622394 and 18.
2
Calculate the greatest common divisor of 1 and 5425993.
1
What is the greatest common factor of 48501 and 133335?
9
What is the greatest common divisor of 108259920 and 144?
144
Calculate the highest common divisor of 1383515 and 3185.
245
Calculate the greatest common divisor of 816 and 1712104.
136
Calculate the greatest common divisor of 98 and 115612021.
49
What is the greatest common factor of 75754364 and 368?
92
Calculate the greatest common factor of 1702042 and 1802.
106
What is the greatest common divisor of 1617 and 79004464?
539
Calculate the highest common factor of 1288 and 1289449.
161
What is the greatest common factor of 318269375 and 8125?
625
What is the highest common divisor of 657 and 54763578?
657
Calculate the greatest common divisor of 705 and 61425.
15
Calculate the greatest common divisor of 789162736 and 40240.
8048
What is the greatest common divisor of 1937 and 9410542?
149
Calculate the greatest common factor of 46037020 and 748.
68
What is the greatest common factor of 8180123 and 3052?
763
Calculate the highest common factor of 6915123 and 27.
9
What is the highest common factor of 1705 and 7398305?
155
Calculate the greatest common factor of 30674 and 30062711.
2191
Calculate the greatest common factor of 8603754 and 264.
6
Calculate the greatest common divisor of 50 and 1149010.
10
Calculate the highest common factor of 225544 and 8644999.
2563
What is the highest common divisor of 1085 and 767593015?
1085
What is the greatest common divisor of 756553761 and 171?
171
Calculate the highest common factor of 126 and 10556616.
42
Calculate the greatest common divisor of 230 and 18108314.
46
Calculate the highest common factor of 234 and 7891974.
18
Calculate the greatest common divisor of 40 and 6375368.
8
Calculate the highest common factor of 4405377 and 591.
3
Calculate the greatest common factor of 154609 and 361887.
1699
What is the greatest common divisor of 82500 and 190300?
1100
What is the highest common factor of 16 and 276881?
1
Calculate the greatest common divisor of 1686 and 369168.
6
What is the highest common divisor of 42167544 and 72?
24
Calculate the greatest common factor of 732261 | {
"pile_set_name": "DM Mathematics"
} |
3*j - 96 = 0. Suppose 0 = 7*h - 2*h + 4*l - 116, 2*h + 2*l = f. List the prime factors of h.
2, 3
Let l = -6 - -5. What are the prime factors of (-1 + l)/(2/(-10))?
2, 5
Let h = 198 - 125. List the prime factors of h.
73
Let l be -1 + (0 - -1) - -6. Let z(r) = -2*r**2 - 5*r - 4. Let x(i) = 3*i**2 + 4*i + 5. Let p(c) = -3*x(c) - 4*z(c). List the prime factors of p(l).
13
Let c = -17 - -10. Let r(m) = -m**3 - 6*m**2 + 6*m - 7. Let p be r(c). Suppose 2*x = -2*w + 2, p = -4*x + 2*w + 21 + 1. What are the prime factors of x?
2
Suppose 0 = -4*c + 4*d + 56, -2*c = -0*c + d - 40. Suppose -2*q + 19 - 5 = 4*f, 0 = -4*q + 2*f + c. List the prime factors of q.
5
Suppose 4*a - 174 = 2*w, w + 67 - 26 = a. What are the prime factors of a?
2, 23
What are the prime factors of ((-9)/(-3))/(3/19)?
19
Let q(j) = j**3 + 11*j**2. Let b be q(-11). Suppose -24 = -b*o - o. What are the prime factors of o?
2, 3
Suppose 5*x - 35 = 5*i, x = -2*i - 2 - 3. Suppose -7*k + 88 = -x*k. List the prime factors of k.
2, 11
Let z be (-10)/(-4)*(-1 + 3). Let c = 6 - 4. Let n = z - c. What are the prime factors of n?
3
Suppose 5*m - 48 + 203 = 0. Let u = -8 + -43. Let x = m - u. List the prime factors of x.
2, 5
Let k(v) = v**2 + 7*v + 3. Let f = 6 - 12. Let h(c) = c**2 + 7*c - 1. Let s be h(f). What are the prime factors of k(s)?
3
Let h = -637 + 965. List the prime factors of h.
2, 41
What are the prime factors of (3/(-12))/(((-6)/3)/1784)?
223
Let t(b) = 2*b**2 + 12*b + 2. Let i be t(-6). Let u be (-5 - -2)*1*-1. Suppose -u*r = 4*d - 49, -3*r + i*d + d + 63 = 0. What are the prime factors of r?
19
Let z = 107 + 33. Let m = -90 + z. List the prime factors of m.
2, 5
Suppose 30*j - 35*j + 120 = 0. List the prime factors of j.
2, 3
Suppose 5*q - 4*o - 36 = 0, -q + 0*o = 4*o + 12. Suppose q*b - 12 = b. Suppose -4*c + 0*c = 0, -b*c - 16 = -4*p. What are the prime factors of p?
2
List the prime factors of 4*((-8)/(-6))/((-3)/(-63)).
2, 7
Suppose -m - 177 = -2*s, -4*s - s + 4*m + 438 = 0. List the prime factors of s.
2, 3, 5
Suppose -7 = -3*x - 3*p + 4*p, 0 = 5*x - 4*p - 14. Suppose x*a = 6*a - 48. List the prime factors of a.
2, 3
Let z(g) = -4*g + 2. List the prime factors of z(-4).
2, 3
Let s(l) = -l**3 + 5*l**2 - l - 3. Let t be s(5). List the prime factors of (16/10)/(t/(-80)).
2
Let h(x) = 11*x**2 - 2. List the prime factors of h(-3).
97
List the prime factors of (230/30)/(1/(1*9)).
3, 23
Suppose -3*a + 14 = -a. List the prime factors of a.
7
Let b(s) = s**2 + 13*s + 4. Let q = -27 + 13. List the prime factors of b(q).
2, 3
Suppose 28 = 2*a - 2. What are the prime factors of a?
3, 5
Let a be ((-6)/(-5))/((-15)/50). Let y be (-60)/25 + a/(-10). Let q = y + 8. List the prime factors of q.
2, 3
Let b = -12 + 40. Let p = b + -13. Let t = p + -3. List the prime factors of t.
2, 3
Let k(p) be the third derivative of 5/3*p**3 + 0*p + p**2 - 1/120*p**6 + 0 + 3/20*p**5 - 1/3*p**4. What are the prime factors of k(8)?
2, 5
Suppose -4*w + w = -4*h - 46, 0 = 4*w + 5*h - 51. What are the prime factors of w?
2, 7
Suppose 5*b = 4*k + 21, 4*k - 17 = -4*b + 7. Let l be 5/k*(-4)/(-10). Suppose 5*n - l*n = 66. What are the prime factors of n?
2, 11
Suppose 4*p = -3*c + 110, -100 = -5*c + 2*c - 2*p. Suppose -c = -2*w - s, w - 11 = -4*s + 11. What are the prime factors of w?
2, 7
Suppose -23 + 3 = -5*b. Suppose 6*l - l - 29 = -v, 20 = b*l. List the prime factors of v.
2
Suppose 3*m - 11 = 1. Suppose 5*q + 35 + 130 = m*g, -2*g + 4*q = -90. What are the prime factors of g?
5, 7
Let x(p) = -p**2 - 14*p - 4. Let o be x(-14). Let c(u) = -2*u - 2. What are the prime factors of c(o)?
2, 3
Suppose 76 = -n + 2*r + 219, 0 = -3*r + 12. List the prime factors of n.
151
Let k(c) = c**3 + 3*c**2 - 5*c + 1. Let x be k(-4). Suppose 0 = -2*q + q + x. List the prime factors of q.
5
Suppose -3*y - 132 = -5*i, 58 = i + i + 4*y. What are the prime factors of i?
3
What are the prime factors of 15 + 1/((-4)/8)?
13
Let d(w) = -2*w + 1. Let o be d(-1). Suppose -78 = -0*s - o*s. What are the prime factors of s?
2, 13
Suppose 3*a - f + 7 = 0, 4*a + f = -3 - 4. Let v be (-4)/a*10/4. Suppose 3*i - 4*l = 6, -36 = -v*i - l - l. List the prime factors of i.
2, 3
Suppose -4*d = -2*d - 92. Let m(x) = -x**3 + 13*x**2 - 12*x + 5. Let b be m(12). Suppose 34 = b*w + 5*u - d, 5 = u. List the prime factors of w.
11
Suppose -5*h + 20 + 5 = 0. Let f = h - -7. List the prime factors of f.
2, 3
Let o be ((-650)/(-4))/(-5)*-2. Suppose -4*j - j + o = 0. List the prime factors of j.
13
Suppose 4*c + 31 = 3*f - 63, -4*f + 2*c = -112. Let x = f + -19. List the prime factors of x.
7
Let c = -2 - 4. List the prime factors of c/(-6*(-2)/(-16)).
2
Let h(t) = -1. Let o(m) = -m. Let g(l) = -h(l) - 3*o(l). Let y be g(-3). Let w = y + 12. What are the prime factors of w?
2
Let d(f) = f**2 - 3*f + 9. What are the prime factors of d(6)?
3
Let s = 214 + -110. What are the prime factors of s?
2, 13
Let t(g) = -g**3 + 6*g**2 + 7*g - 3. Let o be t(7). List the prime factors of (1 - -6)*2 + o.
11
Let d = -43 + 60. Suppose 5*c + 2 = 2*h + d, -h = 5*c - 30. What are the prime factors of h?
5
Let j(i) = -6*i**2 + 17*i. Let w(s) = -s**2 + s + 1. Let b(y) = j(y) - 5*w(y). What are the prime factors of b(7)?
2, 3, 5
Let o(x) = 6*x**2 - 3*x - 28. List the prime factors of o(-6).
2, 103
Let c = 12 + -8. Suppose c*g + 12 = 0, -2*g + 0 = x + 2. List the prime factors of x.
2
List the prime factors of 4 + (-1)/1 - -104.
107
Let k be -10 - (2 + -1)*1. List the prime factors of 2/k + (-68)/(-11).
2, 3
Suppose 10*n - 777 = 2733. List the prime factors of n.
3, 13
Let i = 166 + -111. List the prime factors of i.
5, 11
Let c(y) = -y**3 - 7*y**2 - 4*y + 9. Let x be c(-7). Let p = x - 12. List the prime factors of p.
5
Let v be 3*(-4 - (3 - 6)). Let w be 2/v*(-333)/6. Suppose -w = -u - 13. What are the prime factors of u?
2, 3
Let g be -2 + (-2 - -2) + 3. Let x(d) = 55*d**2 - 1. Let s be x(g). Let i = s - 36. What are the prime factors of i?
2, 3
Let t(s) = -s + 8. Let w be t(6). Let h = 19 - w. List the prime factors of h.
17
Let v be (4/(-14))/(3/(-21)). Let a(r) be the first derivative of r**3 + r**2/2 - 2*r + 1. List the prime factors of a(v).
2, 3
Suppose 0*j - 2*x + 102 = 5*j, 5*x + 20 = 0. Suppose -5*d = -j + 2. What are the prime factors of d?
2
Let p be (-21)/(-3) + (-2 - 1). Suppose 4*o = 5*g - 76, p*g - 28 - 36 = 4*o. List the prime factors of g.
2, 3
Let n = -40 - -88. List the prime factors of (n + 1)*(5 - 4).
7
Suppose p + z - 18 = -3*p, z = 2*p - 12. Suppose 0 = -4*j - 4*h - 9 + 37, -p*j = -2*h. List the prime factors of -1*(-2 + 1 - j).
3
Suppose 0 = h + 16. Let n = h - -26. List the prime factors of n.
2, 5
Let c(z) = -z**2 + 3*z + 2. Let v be c(7). Let j = -14 - v. What are the prime factors of j?
2, 3
Suppose -5*t + 128 = 2*m + 2*m, 0 = 3*t - 3*m - 66. Let a be 110/(-8) + 1/(-4). Let x = a + t. What are the prime factors of x?
2, 5
List the prime factors of ((-16)/(-3))/(24/36).
2
Let v(l) = 3*l**2 - 2*l + 2. Let x = 15 - 11. List the prime factors of v(x).
2, 3, 7
Let x(y) = 3*y**3 - 2*y**2 + 2. What are the prime factors of x(2)?
2, 3
Let v(i) = -i**2 + 7*i - 5. Let x be v(7). Let r = x - 0. Let p(z) = z + 10. What are the prime factors of p(r)?
5
List the prime factors of (-34)/6*(49 + -52).
17
Let a = -20 - -35. Suppose -5*m = a - 35. Suppose -3*r + m = -r. What are the prime factors of r?
2
Let f = -13 + 13. What are the prime factors of 377/13 - (-1 - f)?
2, 3, 5
Suppose 3*f - 2*f = -1. Suppose 0 = -4*m - 5*d + 31, 4*m - 29 + 1 = -4*d. List the prime factors of f/(-3)*3 + m.
5
What are the prime factors of (-34)/((5 + -3)*(-1)/5)?
5, 17
Let o be (3/(-2))/(12/(-56)). Suppose 2*q - 27 = -o. What are the prime factors of 3/(3 + (-24)/q)?
5
Let n = 14 + 2. List the prime factors of n.
2
Suppose 16*q - 94 = 15*q. List the prime factors of q.
2, 47
What are the prime factors of 14/((-48)/(-21) - 2)?
7
Let h(d) = 234*d - 2. What are the prime factors of h(1)?
2, 29
Let s(g) be the third derivative of g**5/60 - g**4/8 + g**3/3 + 2*g**2. List the prime factors of s(-3).
2, 5
Let h = 198 - 112. List the prime factors of h.
2, 43
Let m(c) = -c**3 + 11*c**2 + c + 3. Suppose 22 = j + j. What are the prime factors of m(j)?
2, 7
Let q = 0 + 4. Let t = 6 - q. List the | {
"pile_set_name": "DM Mathematics"
} |
ate -19 + 41 + 28 + -46 - (1 - -95 - -2).
-94
What is 192 + -130 + -225 + (36 - 1)?
-128
Evaluate -33 + -25 + 26 + 14 + -108.
-126
Evaluate (40 - (3 - -25)) + (2 - -1) - (-56 - -1).
70
Evaluate -45 + 15 - (91 + -6 + 7).
-122
What is the value of -74 + -76 + 9 + 111?
-30
What is the value of 20 - 19 - (3 + -1 - -22)?
-23
-23 + 23 - 14 - (1 - -27)
-42
Evaluate 44 + 1 + -17 + 0 + (-15 - (120 + -136)).
29
2 - (-4 + -47 + (-11 - -1) - -5)
58
3 + (2 - (103 - -1)) + -183 + 216 + -42
-108
What is the value of 2 + 0 - 71 - ((-96 - 66) + 154)?
-61
Evaluate 7 + -22 + (9 - 8) + -7 - (-21 - -17).
-17
What is the value of -2 + (-21 - -30) + 2 + -71 + -1?
-63
Evaluate 14 - (17 + (-34 - -20) + 12).
-1
-35 + (22 - -53) + (7 - (3 + -2)) + 2
48
Calculate (-27 - (74 + -6)) + 92.
-3
What is the value of -145 + (103 - 100) - 12?
-154
(34 - 130) + (-203 - -235)
-64
Evaluate (1609 - 1669) + (44 - 0).
-16
What is the value of -7 - (-37 + 96 - 32)?
-34
Calculate (209 - 29) + (51 - 146).
85
What is the value of (3 - (78 + 25)) + 27 + -1?
-74
Calculate -138 + (322 - (2 - -48)).
134
Calculate -9 + -2 + -4 - (130 - 144) - -56.
55
Calculate (-13 + 8 - 84) + (-22 - (0 + -7)).
-104
-6 + (10 - 6) + -2 + (-38 - -20)
-22
What is -52 + 71 - (29 + -16 + 50)?
-44
What is -2 - (26 + (3 + 1 - -13)) - -10?
-35
What is -23 + (-2 + -9 - (37 + -45) - -16)?
-10
What is the value of -33 - (70 + -43) - (-12 + 0)?
-48
What is the value of (-2 - -1) + -1 - -3 - (-5 + (4 - 9))?
11
-8 + (0 - 1) + -177 + (75 - 13)
-124
Evaluate -19 - (-10 + -20 - -17) - 5.
-11
What is -34 + -1 - (0 + (-41 - -51))?
-45
Evaluate 125 - (-41 + 162) - (-1 + -72).
77
Evaluate -45 - (-3 + -12 + (15 - 3) - 15).
-27
What is the value of (-276 + 128 - -146) + (-60 - (3 + -1))?
-64
Calculate 0 + 7 + (10 - (66 + 13 - (9 + -19))).
-72
Evaluate -140 + 100 + 78 + -69.
-31
-12 + 35 + (21 - (53 - 19) - (-6 + -2))
18
Calculate (10 - -1) + (-6 - (-102 - (-6 - -5)) - 4).
102
What is the value of (-17 - (26 - (-22 - -20))) + (1 - -3)?
-41
Calculate 98 - (82 + -55 + 123).
-52
What is -2 + -1 + (80 - (56 + -24)) + -32?
13
What is -7 - -81 - (-356 - -354)?
76
What is 27 + 53 + -48 - ((4 - 1) + -1)?
30
What is the value of (-5 - -1) + (1 - -17) + -1 - (29 + 25)?
-41
Calculate (-21 - 22) + (-5 - -25) - (-5 + 0 - -4).
-22
What is the value of -47 + 0 + -217 + 269?
5
Calculate -56 - (-23 - (49 + -14)).
2
Calculate -32 + (-84 - -59 - -41).
-16
Evaluate -19 + (-19 + 28 - (11 - 1)).
-20
Evaluate (6 - (12 + -5)) + 3 + -7 - -1.
-4
What is the value of 3148 - 3189 - (-1 - 33)?
-7
What is 19 - -1 - (-13 - ((-17 - 38) + 23))?
1
What is the value of -11 + 13 + 151 + (-24 - (19 + -44))?
154
What is 34 + 20 + -35 - (43 - -14)?
-38
Evaluate (0 - (0 + 86)) + 458 + -442 + 8.
-62
Calculate -3 + -35 + -2 + -6 - (154 + -135).
-65
Calculate 128 - (98 + (22 - 53)).
61
What is the value of 15 + -1 - (73 + -27 - (10 - 5))?
-27
-26 + -47 + (8 - -31) + -5
-39
What is the value of 2 + (-10 + 14 - -4 - 6) + -10?
-6
1 + (-1 - -12 - (20 - (16 + 1))) - 20
-11
What is ((0 - 2) + -7 - -8) + 8 - (10 - -7)?
-10
What is (6 - 10 - 39) + 19 - -7 - -64?
47
What is 2802 + -2774 + (4 - (4 + -104))?
132
-27 - -1 - (-11038 + 10987)
25
7 + (22 - (8 + (8 - -1))) + 3
15
What is (84 - 83 - -44) + -32 + -2?
11
Evaluate -50 + 5 + -21 + (74 - 65).
-57
What is 121 + -116 - (-7 + 6)?
6
Calculate -38 + 111 - -29 - (-9 + 42).
69
What is the value of (85 - 13) + (-20 - (-25 - 7)) + 22?
106
What is the value of 7 - 1 - -97 - (-743 - -710 - (-18 + -1))?
117
Evaluate 51 - (-33 - (14 - (-37 + 51))).
84
Calculate -49 - (-1 + (4 - 18)) - (-10 - -4).
-28
Evaluate 46680 + -46701 + 3 + (0 - 1 - (1 + -1)).
-19
What is the value of 4808 + -4931 - (-229 - -1)?
105
(38 - (21 - 6) - 11) + 5
17
Evaluate 34 - (-8 + (15 - ((-10 - -6) + 9) - 3)).
35
What is -69 + (-64 - (-38 + -84))?
-11
Evaluate (-2 - 0) + 59 + 2.
59
Evaluate (-63 - -17) + -9 + 123.
68
-6 - (-9 + (-36 - -33) + (2 - -26)) - 10
-32
218 + -130 + 34 - 215
-93
Evaluate 12 + -57 + 88 + -20.
23
What is (-1 - (4 - 11)) + (-22 - (-19 + -2)) - 53?
-48
-3 + (-3 - (36 + -5)) + (15 + -5 - 1)
-28
Evaluate 84 - (86 + -13 - 29).
40
What is the value of -1059 + 1254 + (-113 - 3)?
79
What is the value of -32 - (-88 + 59 + -9) - (30 - 0)?
-24
What is -14 - (-72 + 12 + 102)?
-56
What is the value of -4 - (-5 + -12 + (22 - 4))?
-5
Calculate 40 + (67 - 43) + -110.
-46
What is the value of (-1 + -55 - (-38 + 5 - -19)) + -15?
-57
Evaluate -2 + (47 + -1 + -7 - 16) + 15.
36
What is the value of (1 - 95) + (165 - (238 + -72))?
-95
What is -53 - (-31 + -68 + 22)?
24
What is the value of -25 + 1 + (92 - 99) + 19 + -73?
-85
Calculate -16 + 18 + (-44 - -43).
1
Calculate 3 + (3 - 11) + (27 - (30 + -53)).
45
36 + (-4 + -3 - -3) + 315 + -307
40
Evaluate (-142 - (26 + -139)) + (1 - 17).
-45
Evaluate 1 + 8 - ((70 + -63 - 20) + 4 + -1).
19
What is the value of (-7 - (-19 + 20 + -7)) + 21?
20
What is 22 - (9 - 2) - (13 - (1 + 7))?
10
Calculate 10 + -2 + -94 + 144.
58
Calculate -10 + 17 + -11 - (112 - 203).
87
What is the value of (71 + -51 - 40) + -52 - (3 - (1 + 1))?
-73
Calculate 1 - 56 - (-1070 + 1046).
-31
What is -8 + 22 + -14 + -2 + (6 - 9) + 4?
-1
What is 77 + (-42 + 74 - 66)?
43
(-17 + -5 + (-22 - -25) - 13) + 1 + 5
-26
Evaluate 13 - (62 - 65 - (2 - -15)).
33
Evaluate -30 - (65 + -19 + -63).
-13
(27 - (25 + -2)) + -6 - -61
59
Calculate 3 + 136 - (63 - (64 + 9) - (-4 + 1)).
146
What is 5 + (17 - (-40 + -1 - -34))?
29
Calculate (-230 - -101) + 147 - 22.
-4
Evaluate -6 - 23 - (68 - (-34 + 152)).
21
What is the value of (-26 + 5 + 17 - -22) + 24?
42
What is 6 - 100 - ((-18 - -3) + 314 + -322)?
-71
30 - ((24 + -7 - 8) + -9 - (17 + -4))
43
Evaluate (-11 - 119) + 77 + 85.
32
(-3 - (-51 - -41)) + -1 + 73 + (-4 - -16)
91
What is the value of 51 + 37 + -81 + 21?
28
What is -3 - 4 - -19 - (12 - -32)?
-32
Evaluate 21 - (65 + (16 - 62 - -15)).
-13
Evaluate (-18 - 3) + 2 + 84 + -197 + 102.
-30
-36 + (-35 - -23 - -40)
-8
What is the value of 0 + -61 + (-5 - -9 - 15 - (61 + -85))?
-48
0 + (3 - 2 - -9) + (-7 - -6 - 15)
-6
Evaluate 1 + (1 - -12) + (-5 - -10) + -3.
16
What is the value of 1 + -36 + 3 + -22 + -13 + (-11 - -32)?
-46
4 + -5 + -1 + 1 + -3 - (2495 - 2530)
31
(-4 - (-17 - -10 - (7 - (-1 - -15)))) + 108
104
What is the value of 7 + (2 + -10 - (-15 + -17 + 6))?
25
(-10 + -22 - (-8 + 8 + (-6 - -1))) + -8
-35
Evaluate 0 + -1 + -30 + -33 + 35 - -4.
-25
What is the value of (-41 - (-35 - 32)) + (13 - (3 - 0) - 3)?
33
What is 19 - (20 + 0) - -10 - 59?
-50
1 + -4 + 18 + 5 + (-20 - -27) + -10
17
Evaluate -26 + (86 - 33 - 16).
11
(45 - (6 - -13)) + (4 - -1 - 8)
23
What is the value of 54 + -125 + 8 - -37?
-26
Calculate 55 + -12 + 104 + -135.
12
What is the value of 98 + 14 + 21 + -54 + 32?
111
What is ((22 - 2) + -33 - 1) + -34?
-48
(-72 - 1) + 22 + -2 + (-45 - (-28 - -3))
-73
What is the value of -514 - -479 - (-4 - (100 + 2))?
71
What is 195 - (349 - 155) - (2 - -72)?
-73
Evaluate -15 + -11 + (2 + (-3 - -4) - (-56 - -39)).
-6
33 + (-13 + -5 + -4 - -13)
24
Calculate 3 + -3 - 27 - (-57 + (-58 - -110)).
-22
16 + (-6 + -72 - -4) + -70 + 61
-67
(-130 - 8) + 79 + 84
25
23 - (-18 + 1 + -45) - 21
64
What is 18 - (-16 - -2 - (-232 + 204))?
4
What is (-27 + 36 - (44 - 17)) + 9 + 0?
-9
Evaluate 65 + -39 + (-128 - -95).
-7
-1 + 2 - ((0 - 70) + (5741 - 5671))
1
What is (-23 - -4) + (39 - -60 - 51)?
29
(-59 - 2) + 3352 + -3390
-99
What is the value of -11077 - -11088 - ((29 - -1) + 3 + 0 + -4)?
-18
What is the value of (11 - -61) + -10 - (-3 - -17)?
48
Evaluate 83 + -31 - (224 + -262).
90
Calculate 82 - 96 - (4 + 2 + -30).
10
Evaluate -2 - -59 - ((-1 - -9) + (87 - 43) + -53).
58
28 + 15 + (-2 - 2) + 14 + -21
32
What is (25 - -1) + -7 + 11 + 13 + (-31 - -12)?
24
Evaluate 31 + -25 - (-4 - (-9 + -7) - 26).
20
Calculate 207 - 216 - (-28 - -1).
18
14 - (28 - 28) - (-2 - (-2 + 1))
15
-19 + (9 + -31 - -38) + 54
51
(-38 + 14 - -20) + 10 - (-25 + 0)
31
Evaluate 2 + -37 + -2 + 40 + 9 + -36.
-24
2 + 26 - (-39 + 16 - (26 + -52))
25
What is the value of (167 - 196) + (101 - -36)?
108
4 + (17 + -22 - (8 - 0)) - -58
49
Calculate (-17 + (21 - 23) - 16) + 17 + 105.
87
Calculate 14 - (10 + 33 + 0 + -23).
-6
-26 - (-48 + 39 + -10 + 28)
-35
What is -2 + 40 + 1 + 13 + 16 + 0 + -29?
39
Calculate 2 - 18 - (1436 + -14 | {
"pile_set_name": "DM Mathematics"
} |
nding order.
h, g, 0.1
Let w = -783.6 + 784. Sort -0.047, w, 0 in increasing order.
-0.047, 0, w
Let k = 1520 - 1520.2. Sort -1, k, -3 in ascending order.
-3, -1, k
Suppose 0 = 99*d - 106*d + 14. Suppose -3*x = 2*n - 4*n - 59, 0 = -2*n - d. Put 2, 5, x, 0 in increasing order.
0, 2, 5, x
Suppose -p + 2*t - 5*t - 21 = 0, 2*p - 3 = 3*t. Sort 1, 0, p in ascending order.
p, 0, 1
Let b = -0.13 + -0.07. Let x = b - 1.2. Let g = -1.7 - x. Put -2, g, 1/5 in decreasing order.
1/5, g, -2
Let x = 328 + -330. Sort 3, -1, 5, x in increasing order.
x, -1, 3, 5
Let j(d) = -3*d**3 + 7*d - 2. Let v be j(2). Let s be (6/(-5))/(v/(-40)). Put 2/17, s, 0, -1 in decreasing order.
2/17, 0, -1, s
Let b(x) = 7*x + 8. Let a be b(-4). Let r = 29 + a. Let m be 16 - r - (2 - -1). Sort 3, 5, m in descending order.
5, m, 3
Let i = 107.108 - 0.108. Let g = i - 106. Put -0.5, g, -45 in decreasing order.
g, -0.5, -45
Let j = 1460/6489 + -2/721. Put -2/7, j, -1 in descending order.
j, -2/7, -1
Let w = 143.6 + -144. Sort -5, 0.2, w in descending order.
0.2, w, -5
Let w be (148/6)/((-20)/24). Let v = w - -30. Let x = 6 + -8. Sort -0.2, x, v in decreasing order.
v, -0.2, x
Let a = 0.2 + -0.4. Let o = 0.2 - -0.8. Let h be (-12)/(-27) - (-23 - (-28576)/1197). Sort a, o, h.
h, a, o
Let q = -4 - -1. Suppose -2*z + 3 + 12 = 3*x, -3*z + x = 5. Let w = z - q. Put w, -3, 6 in decreasing order.
6, w, -3
Let a = -32 - -31.36. Let n = a - -3.64. Let d = 0.08 + -0.02. Sort d, -2, n in decreasing order.
n, d, -2
Suppose 0*q + q = 1. Let p(k) = k**2 - 6*k - 8. Let n be p(7). Suppose m = -15 + 11. Put q, n, m in descending order.
q, n, m
Let x = 3.6 + 1.4. Let q = -7 + 6.7. Let i = q - 0.1. Sort 0.3, x, i in decreasing order.
x, 0.3, i
Suppose 10 = 5*s - 3*b, -2*s = -6*b + b - 4. Let l = -893/4 - -224. Sort s, -2, l, 3/8 in increasing order.
-2, 3/8, l, s
Let k(f) = -f**2 - 10*f - 3. Let b(p) = p**2 + 9*p + 4. Let j(s) = 3*b(s) + 2*k(s). Let g be j(-5). Let i = -6 - -11. Sort g, i, -5 in descending order.
i, g, -5
Let o(s) = -2*s - 30. Let g be o(-14). Suppose 34 = 7*b - 5*b. Suppose 0 = -3*d - b + 2. Sort 4, g, d.
d, g, 4
Let j = -0.19 - -45.19. Let u = -50 + j. Sort -2/13, -1, u, -2/5.
u, -1, -2/5, -2/13
Let i be 2*1*(4 - 2)/(-2). Put i, 1, -63 in ascending order.
-63, i, 1
Let l = 3.02 - 0.02. Let v = 28.06 + -28. Put 0.1, v, l in descending order.
l, 0.1, v
Let n be (-6 - (-9 - -5))*(-5)/2. Sort 10, 0, n, 4 in descending order.
10, n, 4, 0
Let h = -4.8 - 0.2. Suppose 0 = 7*s - 24 - 60. Suppose s = -52*r + 55*r. Sort h, r, -3/4 in decreasing order.
r, -3/4, h
Suppose 0 = 11*r - 695 + 717. Let w = -2 + -3. Sort w, r, -4, 4 in increasing order.
w, -4, r, 4
Let j be (1 + 5/(-6))*(-24)/18. Put j, 0.3, -26, 2 in ascending order.
-26, j, 0.3, 2
Let f(a) = 8*a - 141. Let z be f(18). Sort -2, -0.2, 5, z in increasing order.
-2, -0.2, z, 5
Suppose r + 5*g = 2, 4*r - 2*g - 4 = 4. Suppose -7*c - r = -6*c. Put c, -1, -5, 4 in decreasing order.
4, -1, c, -5
Let z = 413.2 + -413. Let g = 6 + -6. Sort -7, g, z, 1/7 in descending order.
z, 1/7, g, -7
Let a(o) = o**2 + 5*o + 3. Let u be (-4)/6 + 42/9. Suppose u*y - 28 = 2*m, -4*m - 47 + 16 = -3*y. Let x be a(m). Put 1, -5, x in ascending order.
-5, x, 1
Suppose 0*m = -2*m + 6. Let n = -1 + 2. Let i = 79 - 77. Put m, i, n in descending order.
m, i, n
Let f(r) = 3*r + 27 - r - 9 + 0*r. Let d be f(-8). Put 6, 5, d in decreasing order.
6, 5, d
Let q(t) = -t**3 - 5*t**2 + 7*t + 7. Let u be q(-6). Let i(k) = k**2 - 7*k - 289. Let v be i(21). Sort v, u, -3.
-3, u, v
Let j be -6*16/4464*(2 - 1). Sort j, 4, -3 in decreasing order.
4, j, -3
Let v = -27.214 + 0.014. Let o = 28 + v. Put o, 0.5, -0.2 in ascending order.
-0.2, 0.5, o
Let c(w) = -2*w**3 + 9*w**2 + 6*w - 1. Let f be c(5). Put 1, -3, f in descending order.
f, 1, -3
Let c be (-234)/26 - (1 - 8). Sort c, 135, -4.
-4, c, 135
Let b(d) = 3*d**3 - 2*d**2 - 2*d + 1. Let o be b(0). Sort 4, o, -39 in descending order.
4, o, -39
Suppose -3*l = -7*f + 93, 0 = l - 3*l - 6. Sort -1, -5, 0, f in decreasing order.
f, 0, -1, -5
Suppose -10*h + 12 = -6*h. Suppose h*a - a - 8 = 0. Let w = -4 - -7. Put a, w, -1 in increasing order.
-1, w, a
Let s be (-6)/(-4)*((-42)/(-18) + -1). Suppose 4*q + 11 + 17 = -3*o, -5*q + s*o - 12 = 0. Let d(h) = -3*h + 1. Let a be d(1). Put 5, a, q in decreasing order.
5, a, q
Let l = -376 + 374. Sort -3, l, -4, 22.
-4, -3, l, 22
Let a(f) = 4*f**2 + 10*f - 11. Let i be a(1). Sort i, 2, -13.
-13, 2, i
Let k be (26/4)/(2/4). Suppose 1 = -3*y + k. Let t be (-10)/5*(-1)/y. Sort -5, 1, t in decreasing order.
1, t, -5
Let c(f) be the third derivative of -f**6/120 - f**5/60 + 5*f**4/24 - f**3/6 + 5*f**2. Let r be c(-3). Let q = 2 + -7. Sort r, q, 4.
q, r, 4
Suppose -18*d - 17*d - 35 = 0. Let g = -1.6 + -0.4. Let q = g - -2. Put -0.1, q, d in decreasing order.
q, -0.1, d
Suppose -k + 4 + 32 = 0. Suppose 2*y = -34 + k. Sort 4, y, -21.
-21, y, 4
Let u = 164.9 - 168. Let a = -5.1 - u. Put 0.3, -0.4, a, 2 in descending order.
2, 0.3, -0.4, a
Let i = 5/34 + -1/2. Sort -2/11, 3, i.
i, -2/11, 3
Let t(i) = i**3 - 3*i + 1. Let g be t(2). Suppose -g*p = -0*p. Suppose 5*q - 7 = 4*k, 5*k + 4 = -2*q - 13. Put -2, q, p in increasing order.
-2, q, p
Let n = 937 - 932. Sort 0, n, -1, -23.
-23, -1, 0, n
Let l = 156 - 200.4. Let k = l + 44. Sort 0.5, 0.05, k, 3 in increasing order.
k, 0.05, 0.5, 3
Let d(y) = 4*y + 2. Let h be d(2). Let n = -11 + 15. Sort n, h, -5, -1 in decreasing order.
h, n, -1, -5
Let h = -29.7 + 31.7. Sort h, 78, -4/5 in increasing order.
-4/5, h, 78
Let o be (1 + -2)/(2/(-14)). Let a = 22 - o. Suppose c - 7 = -5*y - 3*c, -3*y = -4*c + a. Put 2/7, y, -0.4 in decreasing order.
2/7, -0.4, y
Let h(v) = 2*v**2 + 155*v - 83. Let m be h(-78). Put 5, 1, m, 36 in decreasing order.
36, 5, 1, m
Let l = -45 - -40. Sort 8/3, -2, l in ascending order.
l, -2, 8/3
Let h = 95.7 + -102. Let m = 6 + h. Let i = -6/35 + 13/35. Sort 4, i, m in decreasing order.
4, i, m
Suppose 3*x + 11 = -b, -5*x + b - 45 = -4*b. Sort 2, 3, x.
x, 2, 3
Let n = -1.4 + 2.4. Let j = n - 0.98. Let x(w) = -2*w + 6. Let k be x(4). Sort j, 1/5, k in ascending order.
k, j, 1/5
Let v = -6 - -8. Suppose -2*t + 0*h - 4*h = 6, 4*t - h + 21 = 0. Put t, 4, v in descending order.
4, v, t
Suppose -i + 9*j = 10*j - 2, 0 = -4*i + 2*j + 14. Sort i, -356, 2 in descending order.
i, 2, -356
Let j = -140 - -139.9. Sort 1/17, 0.2, 0.04, j in ascending order.
j, 0.04, 1/17, 0.2
Let d(n) = n**3 - 4*n**2 - 2*n + 1. Let g be d(5). Let p(c) = c**3 - 17*c**2 + 15*c + 16. Let x be p(g). Sort 9, -2, x in descending order.
9, x, -2
Suppose 0 = -4*s - 3*m + 24, s + 4*m - 3*m = 7. Suppose s = b + h - 9, 4*b = -3*h + 44. Suppose 5*d = 2*c + c, c - 7 = 4*d. Sort 1, d, b in increasing order.
d, 1, b
Let o = 39.5 - 39.2. Sort 4, 36/11, -4, o in ascending order.
-4, o, 36/11, 4
Let m = 78 + -75. Put m, -5/2, -0.6 in ascending order.
-5/2, -0.6, m
Let k(o) = -8*o**2 - 3*o + 2. Let v be k(1). Let a = v + 7. Sort -0.2, a, 1/19 in descending order.
1/19, -0.2, a
Let x = -308 - -305. Sort x, 13, -5 in decreasing order.
13, x, -5
Let y be 2 - (10/(-5) + 2). Suppose c + y*c = 6. Let v(n) = -2*n - 1. Let a be v(-3). Put -1, c, a in ascending order.
-1, c, a
Let k = -38/5 - -112/15. Let y = -2 + 1. Put 4, y, k in ascending order.
y, k, 4
Let i(r) be the third derivative of -r**6/360 + r**4/12 + r**3/6 + 2*r**2. Let z(m) be the first derivative of i(m). Let w be z(2). Sort -1, 2, w.
w, -1, 2
Let n(a) = 1 + 3 + a**2 - 14*a - 25. Let b be n(15). Put 3/2, 0.3, b in decreasing order.
3/2, 0.3, b
Let a be (-82)/(-7) - (-12)/42. Let s be ((-4)/996)/((-2)/a). Let p = s - -148/747. Sort p, 2/7, 5 in increasing order.
p, 2/7, 5
Suppose 4*j = 0, -13*d + 12*d + 1 = -2*j. Let x be ((-12)/(-10))/((-24)/(-80)). Put -5, x, -18, d in descending order.
x, d, -5, -18
Let x = 36 + -40. Let l be 6/(-9)*(-6 + 0). Sort 2, l, x.
x, 2, l
Let m(w) = -2*w**3 - 2*w**2 + 1. Let g = -25 + 23. Let x be m(g). Sort 2, 4, x in increasing order.
2, 4, x
Let o be 1*(-8)/(-36) - 17/36. Suppose -5*z - 6*k = -k - 15, 0 = -5*k + 20. Let y be 0 + 1 - (2 - z). Sort -1, o, y in descending order.
o, -1, y
Suppose -321*u = -5*t - 320*u + 6, -4*t + u + 5 = 0. Sort -4, t, 16.
-4, t, 16
Let x = 0.2 - -0.3. Let m be -3*8/(-84) - 96/189 | {
"pile_set_name": "DM Mathematics"
} |
e -125*c - 270 = 67*c - 78. Suppose j = f - 9, -5*j - 3*f = 47 + 38. Let h be (-24)/(-14) - 4/j. Put 3, c, h in descending order.
3, h, c
Let t = 1 + 1. Let p be -3 - -6 - 2 - (-2 + -2). Let w = -149.3 - -150. Sort t, w, 0.2, p in descending order.
p, t, w, 0.2
Let o = -36158/7 - -5165. Sort o, 17, -3/4, -0.2, 4.
-3/4, o, -0.2, 4, 17
Suppose -2*p = -5*p - 573. Let f = p - -4967/26. Let n = -482 + 477. Sort n, 4, f.
n, f, 4
Let w = 7.4 + -7. Suppose -5*x + 3 = -2*m + 2, -m - 5*x = 8. Let v be 1*(m + 1 + 21/9). Put -3/7, w, v in descending order.
w, v, -3/7
Suppose -13*v + 104 + 55 = 55. Sort v, -2/5, -0.2, 1/4, 3/11 in descending order.
v, 3/11, 1/4, -0.2, -2/5
Let c = 331 + -373. Let o be 5/2 + 21/c. Sort -1, o, 10 in ascending order.
-1, o, 10
Let i be (0 - -1)*1*-1. Let t(j) = -3*j**2 - 592*j + 4933. Let d be t(8). Put d, -5, 7, i in ascending order.
-5, i, d, 7
Suppose -3*m - 18 = -q, -47 = -4*q + 2*m + 65. Suppose 10*z + q = -0. Sort z, -1, 43.
z, -1, 43
Let g be -24 - (-6)/(-12)*-18. Let j be (-35)/(-28)*-1*(-2)/g. Put j, -5, -1/4, -0.2 in increasing order.
-5, -1/4, -0.2, j
Let z = -12591.5 + 12592. Put 0.01, z, 92 in decreasing order.
92, z, 0.01
Let y = 3910 + -3915.3. Let w = 19 - 24.5. Let r = w - y. Put -5, r, -1/8 in decreasing order.
-1/8, r, -5
Let i be 5/(-15)*0/(-1). Suppose i = -13*r - 10 + 36. Put 20, r, 5 in descending order.
20, 5, r
Suppose -4*a + 5*y + 24 = 0, -a + 5*y - 79 + 100 = 0. Put -71, 12, a in ascending order.
-71, a, 12
Let g = 1.201 - -1.739. Put g, -1/4, 4/3 in descending order.
g, 4/3, -1/4
Let m = 6.9 - 14.9. Let n = 1123.96 - 1124. Put -2/25, n, m in descending order.
n, -2/25, m
Let q = -39.106 + 42.456. Sort 0.4, 0.1, 2, q in decreasing order.
q, 2, 0.4, 0.1
Let j be (549/(-915)*(-10)/18)/(2/(-6)). Sort j, 3/8, 646/9 in decreasing order.
646/9, 3/8, j
Let z(d) = -d**3 - 18*d**2 + 6*d + 103. Let t be z(-18). Put 25, t, 2, -2/11 in decreasing order.
25, 2, -2/11, t
Let o be 542/15 + -36 + (-23)/60. Put -53, o, 4 in descending order.
4, o, -53
Let l be (-12 - -1) + -170*31/310. Put l, -18, 0 in descending order.
0, -18, l
Let t be 2*1*(3 + -1). Suppose -6*b + 4*b = 0. Let r be -3*140/600 - 9/30. Put r, b, t in decreasing order.
t, b, r
Let q(z) = -z**2 + 11*z - 20. Let i be q(10). Let a = 15 + i. Suppose 0*x - x = -o - 9, -13 = -3*o - a*x. Put o, 11, 3, 5 in ascending order.
o, 3, 5, 11
Let c = 76 + -301/4. Let a = -0.086 - -0.018. Let u = 0.138 + a. Put -1, u, c, 2/9 in ascending order.
-1, u, 2/9, c
Suppose 5*p - 8*l + 21 = -10*l, -2*l = -4*p - 6. Let g be (5/15)/((-1)/(-6)). Let j be 6/10 - g/(-5). Put -4, p, j in descending order.
j, p, -4
Let c be (2 - 0)*(-6)/(-4). Let p = 455 + -152. Let i = p - 288. Sort i, 4, c in increasing order.
c, 4, i
Let a = -1.7 - -2. Let b = -34449 - -34434. Let r = -2 + 2.2. Sort b, r, a in increasing order.
b, r, a
Let j = 0.31 + -0.01. Let d = 20.6 - 20.5. Let v = 0.08 + -0.18. Sort v, 3, d, j.
v, d, j, 3
Let j be 4 - ((-144)/(-35) + 126/(-315)). Sort j, -483/2, -3/4 in ascending order.
-483/2, -3/4, j
Let w(x) = x**3 + 11*x**2 + 4*x + 24. Let f be w(-11). Let a(h) = h**2 + 20*h + 1. Let o be a(f). Let c be 3/(-2)*8/6. Put o, -1, c, 0 in descending order.
o, 0, -1, c
Suppose 6*p = 1793 - 137. Suppose 6*b + p - 288 = 0. Put 8, b, 4 in descending order.
8, 4, b
Let c be -1 + (-23)/(-35) + 0/(-2). Let d be (-1)/(-4*(-5)/40). Sort -0.4, c, d in descending order.
c, -0.4, d
Let c(w) = -11*w - 8. Let g(z) = 6*z + 4. Let j(p) = -4*c(p) - 9*g(p). Let s be j(0). Sort 9, 2, s.
s, 2, 9
Suppose 5*q - g = 0, 98*q - 48 = 97*q + 5*g. Suppose 4*z + 12 = -0*z. Sort z, -5, q, 5 in decreasing order.
5, q, z, -5
Let o be (-12)/(-8) - (-9)/(-6). Let w be 1 + -1*(o + -3). Let v be -6 - (-20 + 14 - -1*4). Put 3, v, w in descending order.
w, 3, v
Let z = 1.527 + -1.647. Sort 2.2, 0.5, z in ascending order.
z, 0.5, 2.2
Let r(o) = -o**3 - o**2 - o + 1. Let k(h) = 6*h**3 + h**2 + 9*h - 6. Let g(y) = -k(y) - 5*r(y). Let u be g(3). Let z = -3 - u. Put z, 0, -4 in descending order.
0, z, -4
Let o = -10999 - -11018. Sort o, 0, -5, 7.
-5, 0, 7, o
Let p = -266 - -248. Let n be 20/(-45) - (-28)/p. Sort -5, 1/9, 2, n.
-5, n, 1/9, 2
Let q = 22436 - 23778. Put 5, -2, q in descending order.
5, -2, q
Let j = -183 + 182. Let n be 3 + -1 + 0 + -22. Let t = n - -36. Sort t, -4, j in increasing order.
-4, j, t
Let s = -149 + 144. Let h be (-2)/(-5) - (-20)/75. Put s, h, 2 in descending order.
2, h, s
Let j = 2601 + -2600.8. Sort j, -0.16, 0.5, -0.4 in ascending order.
-0.4, -0.16, j, 0.5
Let z(w) = -w**3 - w**2 + w + 4. Let p be z(0). Let l be 35/(-28)*-8 - 13 - (-4 - 0). Sort l, -1, 8, p in decreasing order.
8, p, l, -1
Suppose 288*z = 261*z + 54. Let g = -2.3 + 18.3. Let c = -2 + g. Sort z, c, 1.
1, z, c
Let k = 1.1 - 0.1. Let g = 50.6 - 76. Let a = 25.5 + g. Sort a, 1/6, k in ascending order.
a, 1/6, k
Let z = -0.05 - -2.05. Suppose -175 = -611*l + 576*l. Sort z, l, -1, 15.
-1, z, l, 15
Let x = -679 - 431. Let j = x - -1114. Let n be ((-1)/2)/(3/(-21)). Put -5, j, n in decreasing order.
j, n, -5
Suppose 3 = 2*d - f, 0*f + 15 = 3*f. Suppose -m = d - 3. Let j be (-81)/135 - (-1)/(5/43). Sort 1, j, m in ascending order.
m, 1, j
Let v = -2092319/319 + 6559. Let f = v - 2558/957. Put -4, 1, f, 5 in increasing order.
-4, f, 1, 5
Let j be 50/(-16) + 1 + (261/(-72))/(-29). Sort -411, j, -4 in increasing order.
-411, -4, j
Let j = 19.3 - 31.1. Let o = j - -16.8. Put 6, -0.3, o in decreasing order.
6, o, -0.3
Let a(s) = s**3 - 14*s**2 + 10*s - 13. Let k be a(13). Let y = -53 - k. Let p = 5 + -8. Sort -5, p, y in ascending order.
-5, p, y
Let w = 3 - 3.5. Let u = 8.557 - -63.443. Put w, 2/7, u in decreasing order.
u, 2/7, w
Let t(z) = z**3 - 16*z**2 + 2*z - 32. Let b be t(16). Suppose b*w + w + 6 = -5*o, 0 = -2*o - 4. Let q be (-32)/(-6)*3/w. Sort -0.02, -0.05, q.
-0.05, -0.02, q
Suppose -4*i + 2*i = 286. Let h = -140 - i. Suppose 5*z - g - 2 = 0, -4 = 3*z - 2*g - 1. Put -6, z, h in decreasing order.
h, z, -6
Let b = -77 + 80. Suppose b*q - 60 = 18*q. Put q, -2, -3, 5 in increasing order.
q, -3, -2, 5
Let d be 14*21/(-28)*18. Let k = d - -184. Put -2, k, -3, -1 in ascending order.
k, -3, -2, -1
Let m = -94/65 - -8/5. Let k = -132 + 127. Sort 1.9, k, m in increasing order.
k, m, 1.9
Suppose -11*r = -9*r + 2*p, 2*r - 5*p = -14. Suppose -22 + 3 = 3*a - 4*z, 0 = 5*a + z + 1. Sort 0, r, a.
r, a, 0
Let r = 17 - 12. Let o be (132/450)/11*(-193 + 188). Sort o, 2, r in increasing order.
o, 2, r
Let a be ((-4)/(-48))/(((-1)/6)/(4/18)). Put -1/7, a, -2/3, -1/4, 3/2 in descending order.
3/2, a, -1/7, -1/4, -2/3
Let b = 6/35 - -9/70. Let y = -48.2 - -48. Sort -0.3, y, b in decreasing order.
b, y, -0.3
Let n be ((-4)/(-120)*-10)/(2/(-18)). Let s = -5 - -2. Let q(l) = -l**2 - 8*l + 2. Let o be q(-5). Put s, o, n in decreasing order.
o, n, s
Let p = 3.07 + -3.47. Sort 0.9, 7, -5, p.
-5, p, 0.9, 7
Suppose 7635*j + 660 = 7640*j - 990. Put -3, -2, 3, j in descending order.
j, 3, -2, -3
Let a be 8/(-12) - (-2 + 127/3). Let r = a + 122/3. Let k be 8/(-9) + 8/36. Sort k, r, -2/7.
k, r, -2/7
Suppose 98*w + 34*w + 528 = 0. Sort w, 3, -0.1, -18.
-18, w, -0.1, 3
Let o = -133.42 - 1.58. Let v = o - -144. Sort 0.2, v, 2/19.
2/19, 0.2, v
Let c = -0.02 - 3.98. Let q = 874.1 - 874. Let b = 357 - 1781/5. Sort b, 2, c, q.
c, q, b, 2
Suppose -3*u + 4*i - 398 = -400, -4*i = -4*u. Sort -4, u, 69.
-4, u, 69
Let i be -8 - -2 - -7*(-10)/(-70). Put 2, i, -45 in increasing order.
-45, i, 2
Let o = -443.07 + 443.2. Sort -3/5, -143, -3, -0.5, o in ascending order.
-143, -3, -3/5, -0.5, o
Let n = 916 + -1728. Let m = 817 + n. Put 0, m, 11/6, -4 in descending order.
m, 11/6, 0, -4
Let f be 9/(18/4) - 11/((-99)/18). Suppose 5*m + 4*z = -7, -12 = 3*m + 5*z - 0. Let t be (m/(-2))/((-2)/(-20)). Sort f, t, 0, -2 in decreasing order.
f, 0, -2, t
Let y(l) = 2*l + 29. Suppose 5*p + n - 15 = 1, -4*n = 3*p + 4. Suppose 5*r + 2*i = -80, p*i = 2*r + 5*i + 33. Let f be y(r). Put 3, f, 2 in increasing order.
f, 2, 3
Let q = -3.245 + 5.245. Put 758, -2, 5, q in descending order.
758, 5, q, -2
Let x = 1.71 + -177.71. Let j = -138 - x. Sort j, -2, -1 in decreasing order.
j, -1, -2
Suppose 7 = -3*y + 2*q, 14 - 25 = y - 5*q. Suppose r = 2*s - 6, -2*s + 5*s + 30 = -5*r. Put 2, r, | {
"pile_set_name": "DM Mathematics"
} |
*u + 2*a - 68, 4*u + 21 = 5*a for u.
-4
Solve 4*n + 16 = -4*j + 2*j, -2 = n for j.
-4
Solve -206*f + 201*f + 5*k - 50 = 0, k - 5 = 0 for f.
-5
Solve -2*r - 6 = 0, 2*r + 823 - 801 = 2*j for j.
8
Solve -3*c - 250*s + 254*s + 8 = 0, -5*c + 22 = 2*s for c.
4
Solve -5*o = 5*c - 35, 12*o - 17*o - 4*c + 28 = 0 for o.
0
Solve -2*w = 4*h + 12, -5*w - 3*h + 13060 = 13076 for w.
-2
Solve 3*j - 17 - 41 = -4*r, 0 = -7*j - 2*r + 40 for j.
2
Solve 0 = x + 5*q + 38, -32 + 1 = 2*x + q for x.
-13
Solve 35 = 2*s + 9*o, -o + 33 = -s + 34 for s.
4
Solve -275*q - 2 = -2*x - 273*q, 0 = 3*x - 4*q - 4 for x.
0
Solve 2*f = -y - 2, -25*f = -3*y - 26*f - 16 for y.
-6
Solve -3*a = 2*z - 13, 4*z + 2*a - 23 + 17 = 0 for z.
-1
Solve 0 = 2*u + k - 15, 21*u - 23*u + 12 = 4*k for u.
8
Solve -581*t = -577*t - 4*j + 4, 5*t - j - 15 = 0 for t.
4
Solve -37*g + 33*g - 5*r + 41 = 0, -3*r = 86*g - 91*g + 5 for g.
4
Solve 0 = -g + 4*p - 38, 495*g - 495*g = -3*p + 30 for g.
2
Solve -4266*j + 10 = -4269*j - 5*n, -3*j + 5*n = 20 for j.
-5
Solve -24*v + 423 = 3*u, -164*v = -166*v + 3*u + 19 for v.
17
Solve 0 = -3*x + 5*s - 27, -5*s - 145 = 3*x - 148 for x.
-4
Solve 0 = -11689*u + 11693*u + 2*p - 56, 5*p = -2*u + 116 for u.
3
Solve -17*a + 16*a - 20 = -5*w, -4*a - w + 25 = 0 for a.
5
Solve 0 = 4*l + w + 183 - 169, 3*w + 2 = -4*l for l.
-5
Solve -l - 7*k = 32, -4*l + 49 - 57 = 4*k for l.
3
Solve o - 15 = -4*p, 3*o = -2*p - 28 + 43 for o.
3
Solve 2*s + 12 = 3*w, 909*s + 2*w = 911*s + 8 for s.
0
Solve 5*r + 50 = -10*k, 4*k + 28 = -401*r + 397*r for k.
-3
Solve -54 + 78 = 2*d - 10*s, d - s = 0 for d.
-3
Solve 6*p = -j + 2, -11*p + 32 = 3*j + 26 for j.
2
Solve 34 = -5*q - 3*v, -4*q - 7*v - 5 = -12*v for q.
-5
Solve 11*s + 9684 = -3*a + 9691, -3*s + 5*a = -31 for s.
2
Solve 12 = -4*k - 1836*n + 1834*n, -4*k - 21*n = 12 for k.
-3
Solve n = 2*m - 27, -4*n = 1582*m - 1585*m + 93 for m.
3
Solve 5*k + 5 = -3*t, 2*t + 28 = 4*k + 54 for t.
5
Solve -7*i + 50 = -24*i + 4*m, 2*m + 6 = -2*i + 10 for i.
-2
Solve -5*c = 3*b + 38, 6*c = 7*c + b + 6 for c.
-10
Solve -3*p - 9 = 4*z - 7*z, 0 = p - 2*z + 7 for p.
1
Solve 4*x + 3*q - 8 = 0, x = 5*q - 152 + 108 for x.
-4
Solve g = l - 5, -237*g - 23 = -5*l - 234*g for l.
4
Solve -2*f = -52*c + 48*c - 8, 2*f + 12 = -c for c.
-4
Solve c + 2*v = 1, -2*c + 6396*v = -0*c + 6395*v - 2 for c.
1
Solve -21*o - 223*x + 224*x + 111 = 0, 3 = 3*o + 2*x for o.
5
Solve -65*m = -64*m + 2*u - 13, m - 12 = -3*u for m.
15
Solve 5*u + 723 = -7*g + 683, -2*u - 2 = 0 for g.
-5
Solve 7*r - 9 = 10*r, 2*r = 3*d - 20 + 11 for d.
1
Solve 4*z = 12, 4*n - 2*z - 106 + 102 = 2*n for n.
5
Solve -3*r + 2*s = 1, -65 = -10*r + s - 91 for r.
-3
Solve -2*y = -2*q + 2, -2*q + 4*y = -q - 4 for q.
0
Solve -2*j = -2*g - 9102 + 9116, 0 = -3*j - 5*g - 13 for j.
-6
Solve 669*d = -3*k + 670*d - 15, -15 = -5*d for k.
-4
Solve 3*o + 12 = -7*v, 654 - 646 = -2*o + 2*v for o.
-4
Solve 49179*x - 49180*x = -2*b + 12, -2*b + 24 = -3*x for b.
3
Solve 3199*n - 3194*n - 58 = 3*b, -4*b - 19 = 5*n for n.
5
Solve 3*m + 3*i = -3, -5*i = 2*m - 1 + 18 for m.
4
Solve 2*y - 4*p - 2020 = -p - 2007, 4*p = -12 for y.
2
Solve 4*v = -5*o - 8, o - 2028 + 2026 = v for v.
-2
Solve -5*n - 3*j - 4 = 0, -558*n = -561*n - 25*j - 72 for n.
1
Solve -3*k = -74*g - 124 + 441, 2*g - 22 = 2*k for k.
-7
Solve 4*w + 4*l + 24 = 0, -2665 = -4*w - 5*l - 2697 for w.
2
Solve 3*i = -5*r - 12, 4 = 10*r - 30*i + 29*i for r.
0
Solve 5*f = 6*v - 18*v + 3*v - 50, 5*f + 25 = -4*v for f.
-1
Solve -4*s + 2 = o + 3, -4*s + 2*o - 22 = 0 for s.
-2
Solve 4*p = 48, 12*m - 27*p - 108 = -31*p for m.
5
Solve 2*v - i = 6, 50*v - 9*i - 33 = 53*v for v.
1
Solve -4*g = 2*n - 10, 3*n - 87*g + 90*g - 12 = 0 for n.
3
Solve -5*o = -2*t - 60, -2*o - 125*t = -164*t + 167 for o.
14
Solve -3*c = f - 6*c + 8, -3*f - 16 = -7*c for f.
4
Solve 27*c + 84*i - 162*i = -83*i + 86, 3*i - 6 = -c for c.
3
Solve -3*p = -2*f - 7, p + 76*f - 80*f = -1 for p.
3
Solve 13*n - 111 = 4*s, -48*n + 49*n - 4*s - 27 = 0 for n.
7
Solve -18*o + 14*o + 7*o - 18 = -3*j, -14 = o - j for o.
-4
Solve 16 = -5*x + 3*c, -4*x + c - 1214 = -1204 for x.
-2
Solve -l + 37 = -4*p, -4*l - 4*p - 14 - 38 = 0 for l.
-3
Solve 5*x - 6*x - 4 = 3*a, x = -2*a - 4 for a.
0
Solve -4*y - 4*i - 30 = -46, -3*y - 4*i + 16 = 0 for y.
0
Solve 3983*q + 5*u = 3981*q - 72, q - 5*u = 84 for q.
4
Solve 3*k = -9, -29*k + 32*k = -4*r - 9 for r.
0
Solve -2*l = -5*a + 2, a - 74 = -4*l - 122 for l.
-11
Solve -4*v - 32 = -21*p + 18*p, -3*p = -3*v - 33 for v.
1
Solve -233 + 243 = -4*a + 5*u, a = 3*u + 1 for a.
-5
Solve 0 = k - 2*r + 2, -3*r - 40 = 5*k - 4 for k.
-6
Solve p = -5*k + 6*p - 40, 4*p = -5*k - 4 for k.
-4
Solve -49*v - 27 = -2*n - 44*v, -3*n - 22 = 5*v for n.
1
Solve -2*z + u - 1 = 0, -352*z + 349*z = -u + 1 for z.
0
Solve -4*h = 4*w - 40, 0 = 11*h - 10 - 56 for w.
4
Solve 2848*s - 2844*s + 9*p + 5 = 0, 4*s - 2*p = 6 for s.
1
Solve 3*d - 3*p + 48 = 0, -2*d - 4*p - 276 + 316 = 0 for d.
-4
Solve -4*w = -5*g - 2, -10*g - w + 4 = 26 for g.
-2
Solve 5175*o = 5178*o - 2*d - 19, -11 = -2*o + d for o.
3
Solve -x + 71 = 13*i - 132, -4*i = -x - 69 for i.
16
Solve -w = 8*w + 3*n - 48, 4*n - 40 = 0 for w.
2
Solve 4*a - 9*c + 3*c = -30, -4*a + 3*c = 21 for a.
-3
Solve -10*g = -b + 35 - 47, 4*b - 3*g = -48 for b.
-12
Solve 6 = -2*z + v, 14*z = 9*z - v + 6 for z.
0
Solve 2*k + 5 = n, 5*k = -5*n - 280 + 275 for k.
-2
Solve z = q + 6, 125*z - 4 = 121*z for q.
-5
Solve -4*a - j = -16, 3404 = 5*a - 5*j + 3384 for a.
4
Solve 2*n = -2*r + 19 - 17, n + 2*r = 2 for n.
0
Solve -5*j + 3*d = -23, 4*d = -3*j - d + 7 for j.
4
Solve 5*n = 2*q - 2 - 7, -5*n = 5*q + 30 for q.
-3
Solve -5*p + 33 - 28 = -4*g, -4*p - 5*g + 4 = 0 for p.
1
Solve 56*m - 54*m - 2 = 2*k, -3*k + m = 3 for k.
-1
Solve -36*g - 14 = -2*n - 35*g, 0 = -g - 4 for n.
5
Solve -3*k = -4*u + 8, -30*k = -32*k + 13*u - 26 for k.
0
Solve 1 = 2*t - x, -7502*t + 5*x = -7497*t - 10 for t.
-1
Solve -4*d - 20 = -4*t, t - 5*d + 119 = 140 for t.
1
Solve -48*u + 18 = -52*u - 5*g, 3*u = -g - 8 for u.
-2
Solve -5*k + 4*t = -82, -1828 = 4*k + 3*t - 1782 for k.
2
Solve 132 = 6*d - 2*v + 226, 0 = -d - v - 9 for d.
-14
Solve 12*b = -t + 26, -2*t - 54 + 60 = b for t.
2
Solve -2*m - 36 = -2*q, -3*q = -2*m - 50 + 1 for m.
-5
Solve 11*p - 20 = 4*y, p - 59*y = -61*y - 10 for p.
0
Solve 3*a = 2*g, -171*g + 120*a - 123*a + 15 = -168*g for g.
3
Solve -2*k = -3*x - 4, -4*x + 27*k - 4 = 24*k for x.
-4
Solve 3*t - 43 = -58, -4*l + 2*t + 82 = 0 for l.
18
Solve 4*q + 37 = -n, 3*q + 27 = -q + n for q.
-8
Solve 64 = -5*v - 4*o + 65, 3*o = -5*v + 2 for v.
1
Solve 28*q - 14 - 58 = 4*q, -y + 11 = 5*q for y.
-4
Solve 1676*f + d = 1670*f - 68, -40 = 4*f - 2*d for f.
-11
Solve 27*d + 1 = i + 26*d, -3*i = -d - 5 for i.
2
Solve 4*m = 5*o + 135, 0 = -50*o + 55*o + 2*m + 105 for o.
-23
Solve -3*a = 3*m + 3, 4*a + 64*m + 36 = 68*m for a.
-5
Solve 40 = -5*r + 5*w, 2*w = 3*r + 8*w - 12 for r.
-4
Solve 0 = 3462*u - 3463*u - 2*c + 3, -3*u - 2*c = -21 for u.
9
Solve -13*w + 1377 = v + 1401, -v - 5*w - 16 = 0 for v.
-11
Solve -5*h + 5*p - 20 = -40, -48 = 6*h + 3*p for h.
-4
Solve 4*v - 4*y = 12, -14*v + 9*v + 3 = y for v.
1
Solve 0 = 3*s + d - 19, -d - 1311 = 4*s - 1337 for s.
7
Solve -4*p + 3*n + 7 = 0, -18*p = 103*n - 99*n - 84 for p.
4
Solve -w = r + 18 - 26, 4*w + 8*r = 20 for w.
11
Solve -3*p + 33*r = 3, 8*p - r = 11*p - 31 for p.
10
Solve 0 = 5*h + 2*o - 372 + 328, 5*h = 3*o + 34 for h.
8
Solve -3*g = 3*i - 15, 6*i - 11659 = 5*g - 11673 for i.
1
Solve a + 3*d - 16 = 0, 40*a - 3*d = 43*a - 36 for a.
10
Solve 20*q - 185 = -3*h + 123, q - 5*h - 36 = 0 for q.
16
Solve -g - 23 = -330*q + 335*q, 3*q + 5*g = -27 for q.
-4
Solve g = 19 - 15, g = -r + 8 + 1 for r.
5
Solve 0 = -1668*h + 1667*h - l + 8, l - 16 = -3*h for h.
4
Solve -3*r = -3*o + 12, 127*r - 5*o + 16 = 126*r for r.
-1
Solve -14*w = h - 18*w - 21, -3 = -5*h + 3*w for h.
-3
Solve 1031*x = 1037*x + 3*l - 87, x + 4*l = 25 for x.
13
Solve -2*c = -92*u + 654, -36 = 17*c - 14*c - 3*u for c.
-5
Solve 21 = -60*h + 56*h + 3*w, 2*h = 2*w - 10 for h.
-6
Solve -3*c = v + 16, 5*v - 223 = -c - 247 for v.
-4
Solve -647*u + 5*i + 20 = -644*u, 4*u + 12 = -3*i for u.
0
Solve -d - 4*g - 13 = 0, -30*d + 17 = -33*d - g for d.
-5
Solve 4*h + 5*u + 117 = 112, 2*h - 4*u = -22 for h.
-5
Solve 3*v = 3*t, 902*v - | {
"pile_set_name": "DM Mathematics"
} |
ed by 19.
17
Suppose -75 = 4*q + q. Let l be q/20*4/(-3). Calculate the remainder when l/((-4)/(-64)*4) is divided by 3.
1
Let k(s) = s**3 + 5*s**2 + 4*s. Let t be k(-4). Let h = t - -12. Suppose -3*r + h = -12. What is the remainder when 39 is divided by r?
7
Let k(w) = -w**3 - 10*w**2 + 12*w + 12. Let n be k(-11). Suppose -5*p = 31 - n. What is the remainder when 24 is divided by ((-39)/p)/(6/12)?
11
Suppose d + 5*d - 198 = 0. Let i = 18 - d. Let c(b) = b**3 + 16*b**2 + 14*b + 2. Calculate the remainder when 32 is divided by c(i).
15
Let g(o) = o**2 - 7*o + 2. Suppose -2 = -3*z + 25. Calculate the remainder when 3 + -6 + 3*20 is divided by g(z).
17
Suppose 13*l = 18*l - 685. Calculate the remainder when l is divided by 70.
67
Let m(b) = 6*b**3 - 2*b**2 + b. Let u be m(1). Calculate the remainder when 26 is divided by 2 + (-20)/u + 18.
10
What is the remainder when 105 + 1 + -6 + 4 is divided by 15?
14
Let t be 2 - (-3)/((-3)/(-2)). Suppose -3*d = 3*a, -3 = 3*a - 0*a + t*d. What is the remainder when 9 is divided by a?
0
Suppose 2*w - 85 = 23. Let z = -28 + w. Let q = -14 + 23. Calculate the remainder when z is divided by q.
8
Suppose 20*i - 4323 = -1403. What is the remainder when i is divided by 31?
22
Let l(c) = 8*c - 1. Let b be l(1). Suppose 0 = -2*v + b*v - 135. Suppose 2*n = 39 + v. Calculate the remainder when n is divided by 9.
6
Let o(t) = 7*t + 3*t + 7*t - 16 - 7*t. Calculate the remainder when o(8) is divided by 6.
4
Suppose 61 = -2*c - 41. Let p = 26 - c. What is the remainder when p is divided by 10?
7
Suppose -5*k - y + 208 = -3*k, -k + y + 98 = 0. Let n = -94 + k. What is the remainder when 86 is divided by n?
6
Suppose -4*j + 14 = 3*j. Suppose -5*k = -j*k - 66. Suppose -o - 2 = 4*q - 0*q, 2*o + 3*q = 6. What is the remainder when k is divided by o?
4
Let c(i) = 15*i - 76. What is the remainder when 107 is divided by c(7)?
20
Let q(i) = i**3 - 5*i**2 - 6*i + 2. Let t = -6 + 13. What is the remainder when q(t) is divided by 30?
28
Let p(o) = 4*o**2 + 24*o - 22. What is the remainder when p(-8) is divided by 26?
16
Let k = -230 + 247. Calculate the remainder when 92 is divided by k.
7
Suppose 3*r + b + 1 = -8, -5*r = b + 13. Let m = r + -18. Calculate the remainder when 29 is divided by m*3/(-1*6).
9
Let l(v) be the first derivative of -v**4/4 + 4*v**3/3 + 13*v**2 - 12*v - 19. Calculate the remainder when l(7) is divided by 9.
5
Suppose 5*p = -4*y + 19, -9*p + 14*p + 69 = 4*y. What is the remainder when y is divided by 8?
3
Suppose r - 22 = -r. Suppose 4*s - 35 = -r. Calculate the remainder when 23 is divided by s.
5
What is the remainder when (6/(-10) - 112/(-70)) + 323 is divided by 82?
78
Suppose 57*v - 1834 = 3866. Calculate the remainder when 109 is divided by v.
9
Let s = 59 - 39. Let i = 1213 - 1136. What is the remainder when i is divided by s?
17
Let n = -10 + 60. Let o = -514 - -531. Calculate the remainder when n is divided by o.
16
Let x = 100 - 127. Let u = 20 - x. What is the remainder when u is divided by 8?
7
Let r(u) = 2*u**3 - 2*u + 3. Suppose -5*y = 2*x - 6, -8 = -3*y + 4*x - 3*x. What is the remainder when r(y) is divided by 9?
6
Let z be 8 - (3 + (-4 - (4 + -4))). What is the remainder when 3*(141/z - 2) is divided by 8?
1
Suppose 609 = -20*w + 23*w. Let a(b) = -21*b + 10. Calculate the remainder when w is divided by a(-2).
47
Let s = 0 - -3. Suppose 0*c - s*c = -4*a - 8, 4*a - 4 = 0. Suppose -c*z = -41 - 131. What is the remainder when z is divided by 15?
13
Suppose -x + 16 = -6. Suppose p + 3*s = 26, 2*p - 3*s - x = s. What is the remainder when 65 is divided by p?
14
Let i be 0/(-1) + -2 + -1300 + -4. What is the remainder when i/(-14) - (-8)/(-28) - -2 is divided by 14?
11
Let o = -370 + 397. Calculate the remainder when 187 is divided by o.
25
What is the remainder when (-3828)/(-5) + (-54)/90 is divided by 24?
21
Let x(t) be the third derivative of t**6/120 + t**5/4 + 2*t**4/3 + 8*t**3 - 34*t**2. What is the remainder when 20 is divided by x(-14)?
0
Suppose 0 = r - 0 - 1. Suppose 0 = g - 10 - r. Calculate the remainder when g is divided by (-16)/10*(-45)/18.
3
Let k = 9 - -60. Let z = k + -50. Calculate the remainder when 35 is divided by z.
16
Let d = 146 + -87. Calculate the remainder when 115 is divided by d.
56
Suppose 10*q + 98 - 178 = 0. Calculate the remainder when 142 is divided by q.
6
Suppose 0 = -a - a + k + 33, k - 81 = -4*a. Let j(w) = w - 1. Suppose 75 = 5*m + 4*o - 0*o, 0 = m - 3*o + 4. What is the remainder when a is divided by j(m)?
9
Suppose 5*k + 27 - 127 = 0. Let f = -7266 + 7304. What is the remainder when f is divided by k?
18
Suppose -14*m - 180 = -19*m. Let q = m + 12. Let i = 30 - 13. What is the remainder when q is divided by i?
14
Suppose 2*m - 4*m = -24. What is the remainder when m is divided by 2/(-5)*(-12 - -2)?
0
Suppose -4*z + 179 + 41 = 0. What is the remainder when z is divided by 14?
13
What is the remainder when (58 - (3 + -4))/1 is divided by 19?
2
Let a = 29 - -6. Suppose -a = -g - 10. What is the remainder when g is divided by 7?
4
Let t = 20 + -16. Suppose t*k - 5*k + 84 = 0. Calculate the remainder when k is divided by 29.
26
Suppose -j + 52 = g + 10, -2*j + 100 = -2*g. Let c = -33 + j. Calculate the remainder when 50 is divided by c.
11
Suppose -z - c + 13 = -0*c, -4*z + 70 = -5*c. What is the remainder when 113 is divided by z?
8
Suppose -74*o + 715 = -69*o. Calculate the remainder when o is divided by 29.
27
Let o(b) = 6*b - 58. Let l be o(21). Let r = -49 + l. What is the remainder when 265 is divided by r?
18
Let s(k) = -2*k - 5*k - 4*k**3 - k**2 - 2 + 10*k - 5*k. What is the remainder when 13 is divided by s(-1)?
1
Suppose -62 = -y - 4*z, -4*z + 66 = 2*y - 42. What is the remainder when y is divided by -2*17*1/(-2)?
12
Let c = 216 + -213. What is the remainder when 266 is divided by c?
2
Let y = 1611 - 1590. What is the remainder when 56 is divided by y?
14
Let u(s) = -2*s**3 - 10*s**2 - 10*s + 11. What is the remainder when u(-6) is divided by 75?
68
Let q = -125 + 254. Let j = q + -108. What is the remainder when 40 is divided by j?
19
Let t = 2417 - 1051. Calculate the remainder when t is divided by 24.
22
Suppose 11*m - 4*m = 0. Suppose -3*d + 487 = -m*d + 4*p, -d - 5*p = -144. Calculate the remainder when d is divided by 17.
16
Suppose 118 = 13*y + 1. What is the remainder when 79 is divided by y?
7
Let k(x) = x**3 + 12*x**2 + 5*x - 29. What is the remainder when 182 is divided by k(-11)?
34
Suppose -3*q + 47 = -1. Suppose -3*m = -m - q. Suppose -g = g - m. Calculate the remainder when g is divided by 2.
0
Let t(m) = -75*m**3 - m**2 - 2*m - 1. Let n = 8 - -11. Calculate the remainder when t(-1) is divided by n.
18
Suppose -d = 2*d + 4*l - 85, -4*l + 16 = 0. Suppose d + 12 = 5*r. Let x = 2 - -3. What is the remainder when r is divided by x?
2
Let p(a) = 7*a**3 + 2*a**2 - 1. Let b be p(1). Let w be (33 + b)*(7 + -2). Suppose -16*s + w = -11*s. Calculate the remainder when s is divided by 6.
5
Suppose -38 = -b + 3. What is the remainder when 163 is divided by b?
40
Let m(s) = s**3 - 6*s**2 - s - 4. Let u(g) = g**3 - 5*g**2 - 4*g - 8. Let q be u(6). Let r = 14 - q. Calculate the remainder when m(7) is divided by r.
8
Let v = 173 - 149. Calculate the remainder when 119 is divided by v.
23
Let l be (15/10)/(3/6). Suppose -l*s - s - 8 = 0. What is the remainder when s/6 - 500/(-15) is divided by 9?
6
Let f(j) = 11 + 9 + 8*j - 25 + 7. Calculate the remainder when f(1) is divided by 5.
0
Let d(p) = -27*p - 128. What is the remainder when d(-5) is divided by 2?
1
Suppose -5*h = -v + 34, -97 + 7 = -4*v - 3*h. What is the remainder when 27 is divided by v?
3
Suppose j - 2*j = -2. Let u(h) = 2 - h - 5 + j*h + 2. What is the remainder when 22 is divided by u(7)?
4
Let s = 19 + -18. Let p(f) = 35*f**3 - 2*f + 1. Let r be p(s). Suppose i - 22 = -i - 3*u, -3*i - 4*u = -r. What is the remainder when 39 is divided by i?
11
Let f(o) = -o**3 - 4*o**2 - 4*o + 4. Let a = 1 + -6. Let z(p) = p**3 - 12*p**2 + 33*p + 5. What is the remainder when f(a) is divided by z(8)?
10
Let t = 74 - 63. Calculate the remainder when 285 is divided by t.
10
Let q be (-56)/(-35) + (-4)/(-10). Let m(t) = -4*t**q - 19 + 5*t**2 + 12*t + 5. What is the remainder when m(-14) is divided by 5?
| {
"pile_set_name": "DM Mathematics"
} |
Simplify j*j/j**8*j**(12/13)/j assuming j is positive.
j**(-79/13)
Simplify f*(f/f**(-18)*f*f)/f*f*f**(16/9)/f assuming f is positive.
f**(205/9)
Simplify (t/(t*t**(1/6)))/t**(1/22) assuming t is positive.
t**(-7/33)
Simplify (u/(u/(u**2/u)*u))**(16/3)/(u**3)**(-6/13) assuming u is positive.
u**(18/13)
Simplify (d*d**(1/2)*d*d)/(d/(d*d**4))*d**4/d**(2/5) assuming d is positive.
d**(111/10)
Simplify (((d*d/(d*d/d**(-3)))/d)/(d**(-7)*d))**(-2/19) assuming d is positive.
d**(-4/19)
Simplify (((b**(-14)*b)/b)/(b**(-3)/b))**(13/5) assuming b is positive.
b**(-26)
Simplify a*a**0*(a/a**(2/3))/a*(a/a**(-2/7))/(a*a**(1/2)/a) assuming a is positive.
a**(47/42)
Simplify ((w**(1/6)/w)/((w*w**(-2))/w))/((w*w/(w/(w/w**0*w))*w)/w)**43 assuming w is positive.
w**(-767/6)
Simplify q/(q*q**(15/4)*q*q)*q**(-8) assuming q is positive.
q**(-55/4)
Simplify (w*w**(-2/7))**(-40)/(w**(1/5)*w*w**1) assuming w is positive.
w**(-1077/35)
Simplify (c*c*(c/c**(-3/7))/c)/c*c**(-2/21)*(c**(-1))**(1/4) assuming c is positive.
c**(13/12)
Simplify (v**(-2/19)/v**(-1/4))**6 assuming v is positive.
v**(33/38)
Simplify (k*k/(((k*k**(-4/11))/k*k*k)/k))**(-16/5) assuming k is positive.
k**(-48/11)
Simplify (o/(o/(o/(o**(-2/5)/o*o))))/o**(-18) assuming o is positive.
o**(97/5)
Simplify c**(-12)/c**(-14) assuming c is positive.
c**2
Simplify ((p*p**(-3/5))/((p**(-1)*p)/p))/((p*p**(-3))/p)**(-13/7) assuming p is positive.
p**(-146/35)
Simplify (b**(-4)/(b*b/(b**(-2/9)/b)))**(-13/6) assuming b is positive.
b**(845/54)
Simplify (i/i**0)**38/(i**(-4)*i**(-2/3)*i) assuming i is positive.
i**(125/3)
Simplify (h/h**(-1))**7/(h**(2/7))**(-29/3) assuming h is positive.
h**(352/21)
Simplify (s/s**(-1)*((s*s/(s**1/s*s)*s*s)/s)/s*s*s*s)/(s*s**(2/5)/s*s**5) assuming s is positive.
s**(3/5)
Simplify ((l*l**(-2/13))/l)/(l*l**5)*(l*l*l*l**(-1/2))**(9/8) assuming l is positive.
l**(-695/208)
Simplify y**6*y*y**(-4)*y**(-3)*y**4*y assuming y is positive.
y**5
Simplify ((t**2*t)/t)**43/(t*(((t/(t*t**(-2)*t))/t)/t)/t*t/t**(-5/7)) assuming t is positive.
t**(597/7)
Simplify y**37/y**(-18/11) assuming y is positive.
y**(425/11)
Simplify (v*v**(1/4))**(4/27) assuming v is positive.
v**(5/27)
Simplify ((q**3/q)/q)**(-1/19) assuming q is positive.
q**(-1/19)
Simplify t/(t**(-3/7)/t)*t*t**2*(t**(-1))**(-2/175) assuming t is positive.
t**(136/25)
Simplify ((c/(c*c*c**5))/(c/(c/((c**(-6/5)/c)/c))))/((c**(-4/3)/c)/((c/(c/((c/(c*c**(-1/4)))/c)*c*c))/c)) assuming c is positive.
c**(-253/60)
Simplify ((r*r*r/r**(-2/7)*r)/r)**(1/10)*r/(r**(5/7)*r)*r*r*r**6*r*r assuming r is positive.
r**(673/70)
Simplify (m*m*m**(-8/7))/m*m**(1/11)*m assuming m is positive.
m**(73/77)
Simplify (((r**(-6)/r)/r)/r*r**(8/5)/r)/(r*r/((r/((r**0/r)/r))/r))**(-44) assuming r is positive.
r**(-42/5)
Simplify (v**(-1))**(-6/5) assuming v is positive.
v**(6/5)
Simplify (c/(c*c**(1/2))*c**(-5/4))/((c**(1/5)/c)/(c*c*(c**(-1/4)/c)/c*c)) assuming c is positive.
c**(-1/5)
Simplify m**(-3)*m**2*(m/((m*m**(-2/7))/m))**(1/2) assuming m is positive.
m**(-5/14)
Simplify ((m*m**(-9))/(m/(m/(m/(m*m**(-11))))))**(-2/43) assuming m is positive.
m**(38/43)
Simplify (q*q**(-6/7)*q*q/q**(-3/7))**22 assuming q is positive.
q**(396/7)
Simplify m*m/m**(-18)*m**(-1/8) assuming m is positive.
m**(159/8)
Simplify (i**(-3/4)*i*i)/i*i*i*i**(-7) assuming i is positive.
i**(-19/4)
Simplify (((u/u**(-3))/u)/u*u**(2/7))/((u**(4/7)/u)/(u/(u/u**(-2)))) assuming u is positive.
u**(5/7)
Simplify (l*l**2)/l*l*l*l*l**(2/7)*l**3*(l**5/l)/l assuming l is positive.
l**(79/7)
Simplify (w**0*w)**(-16)*w**(-3)/(w*((w*w**(-2/5))/w)/w) assuming w is positive.
w**(-93/5)
Simplify (v**(-1/4))**(4/11) assuming v is positive.
v**(-1/11)
Simplify (p*(((p*p**(-4/19)/p)/p*p)/p)/p)/p**(-2/13) assuming p is positive.
p**(-261/247)
Simplify p/(p*((p/p**(-1/8))/p)/p*p*p)*(p**2/p)/p*p/p**4*p*p**5 assuming p is positive.
p**(15/8)
Simplify (r**(-1/18)*(r/((r**(-1/13)*r*r*r)/r))/r)**6 assuming r is positive.
r**(-463/39)
Simplify (f*f*f/f**(2/3))**(-2)*(f*(f*f/((f**(2/7)*f)/f))/f*f)**2 assuming f is positive.
f**(16/21)
Simplify (j**2/j*j*j/(j/j**(-4/7)*j*j)*j)/(j/(j/(j**(2/5)/j))*j**(1/3)) assuming j is positive.
j**(73/105)
Simplify (g/(g*g**(-1/3))*g)**(-8)*g**(-9)*g*g/g**9 assuming g is positive.
g**(-80/3)
Simplify (j*j**(-1/22)*j)/(j/(j/(j*j/((j**30*j)/j)))) assuming j is positive.
j**(659/22)
Simplify ((u*u**(-1/4))/u**(1/11))/(u**(-2/5)*u*u*(u/((u**(-2/11)/u*u)/u))/u) assuming u is positive.
u**(-467/220)
Simplify (u*u/(u/u**(-5/2))*u*u*u)**(-6/23) assuming u is positive.
u**(-9/23)
Simplify (y**(1/14))**(-1/4) assuming y is positive.
y**(-1/56)
Simplify (q**(-1/2)/q*q/(q*q**(-1/4)/q)*q)/(q/q**(-2/13)*q*q**(-8)) assuming q is positive.
q**(343/52)
Simplify o**12/((o**5/o)/o) assuming o is positive.
o**9
Simplify (p/(p/(p*(p*p**16/p)/p*p))*(p**(5/3)/p*p)/p)**(2/5) assuming p is positive.
p**(106/15)
Simplify q**1/q**(-4/3)*(q**(-1/4)*q*q)**(2/7) assuming q is positive.
q**(17/6)
Simplify o**(-17)/(o/o**(-14)) assuming o is positive.
o**(-32)
Simplify y*y**2*y*(y**(-7/6)/y)/y assuming y is positive.
y**(5/6)
Simplify (z/z**(-1/6))/(z**(-2/5)/z)*((z*z/(z/(z**3/z)))/z)/(z/(z/(z*z*z/(z*(z/(z*z/z**(1/2)*z*z))/z*z))*z)*z) assuming z is positive.
z**(1/15)
Simplify (a**2)**(-4)/(a**(1/2))**45 assuming a is positive.
a**(-61/2)
Simplify (c**(1/6)/c)/(c/c**(2/57)) assuming c is positive.
c**(-205/114)
Simplify (y**1/y)**(-9)/(((y**2*y)/y)/y)**26 assuming y is positive.
y**(-26)
Simplify (r**10*r/r**(2/5))**(-1/62) assuming r is positive.
r**(-53/310)
Simplify s/(s**(-6)/s*s)*s*s/(s/(s**(-2/19)*s))*s/((s/(s/(s/s**(-1))*s))/s)*s*s*s**(-3/4) assuming s is positive.
s**(847/76)
Simplify (o**(-12))**(-5/3) assuming o is positive.
o**20
Simplify (t**(-1)*t)**25/((t/t**(2/9))/(t/(t*t**(-2)))) assuming t is positive.
t**(11/9)
Simplify (((z*((z**(1/10)/z)/z)/z)/z)/(z**6/z))**8 assuming z is positive.
z**(-316/5)
Simplify ((i/((((i**5*i)/i)/i)/i))/i)/(i/i**25) assuming i is positive.
i**21
Simplify (((q*q*q**(1/13))/q*q)/(q*q/q**5))**(-1/15) assuming q is positive.
q**(-22/65)
Simplify (r**0/r)**(-26)*r*r/r**(-1/12)*r/(r**(-5)*r) assuming r is positive.
r**(397/12)
Simplify m/(m**19*m*m)*m*m**(-7/4) assuming m is positive.
m**(-83/4)
Simplify (f**(-1/4))**(-39)/(f**0*f**4) assuming f is positive.
f**(23/4)
Simplify (d/((d*d**(2/3))/d)*d**(-4/11))/(d/d**7*d**2) assuming d is positive.
d**(131/33)
Simplify n**(4/13)*n**31 assuming n is positive.
n**(407/13)
Simplify (z*z/(z*z**(-5))*z*z**(-2/3)/z*z)**(1/13) assuming z is positive.
z**(19/39)
Simplify (b/((b**(8/3)*b)/b*b)*b*(b*b*b*b**(-8)*b)/b)/(b**(1/5))**(-9/5) assuming b is positive.
b**(-473/75)
Simplify ((f*f/((f*f/(f/f**0))/f))/f*f)**(-5) assuming f is positive.
f**(-10)
Simplify h*h**22*h*h**(-8) assuming h is positive.
h**16
Simplify ((z*z**12)/z**(-5/7))**4 assuming z is positive.
z**(384/7)
Simplify ((d**2)**(-5/11))**(-2/9) assuming d is positive.
d**(20/99)
Simplify ((i*i**(1/5))/i)/(i/(i**(-13/3)/i)*i) assuming i is positive.
i**(-107/15)
Simplify (t**0*t)**36*t**1/((t*t**3)/t) assuming t is positive.
t**34
Simplify h**(-1/5)/h**(-19/2) assuming h is positive.
h**(93/10)
Simplify (c/(c**(-2/29)*c))**(1/7) assuming c is positive.
c**(2/203)
Simplify (g*g**(-6))**(-41) assuming g is positive.
g**205
Simplify (o/(o/(o*o**10))*o**(-3))**(-8/15) assuming o is positive.
o**(-64/15)
Simplify (m*m**(4/7))**(-1/3) assuming m is positive.
m**(-11/21)
Simplify (m/(m**(-1)*m))**(-1)*((m/(m**(-2/3)/m))/m)**(-44) assuming m is positive.
m**(-223/3)
Simplify (((w*w**(-1)/w)/w)/(w*w**(-3/2)))/((w*(w**(-1)/w)/w*w)/(w/(w**(-4)/w))) assuming w is positive.
w**(11/2)
Simplify (j*j/j**(2/43))/(j/j**(-4/11)) assuming j is positive.
j**(279/473)
Simplify ((v*v*v/(v*v**(1/20)))/v)/v*v/((v*v**(-16))/v) assuming v is positive.
v**(339/20)
Simplify (s**(2/7)/s**(-1))**(-41/2) assuming s is positive.
s**(-369/14)
Simplify v**(-5)*v/v**(1/8)*(v/((v**(2/7)/v)/v))**(18/5) assuming v is positive.
v**(1581/280)
Simplify (a/(a/(a*a*a**(1/14)))*a)**(-1/3) assuming a is positive.
a**(-43/42)
Simplify ((b**(2/5)/b)**6)**(-44) assuming b is positive.
b**(792/5)
Simplify l**(-21)/(l/l**(2/9)) assuming l is positive.
l**(-196/9)
Simplify (y**(-5)*y**(2/19))/(y**(-6/7)*y**(-8/7)) ass | {
"pile_set_name": "DM Mathematics"
} |
?
w
Let g = 0.14 - 0.24. Which is smaller: g or 15/2?
g
Let i = 10/9 - -214/99. Which is smaller: 2 or i?
2
Suppose -5*m = -3*m - 64. Suppose 2*i + i = -5*q + 37, -4*q = 3*i - m. Let d(h) = -h**3 + 5*h**2 - 4*h + 6. Let j be d(i). Is j at least 5?
True
Let j be (-3)/(1 - -2) - 12. Which is bigger: j or 0?
0
Let z be (1 - 0)/(4/12). Suppose 6*f = -5*o + 2*f - 8, 2*o + 6 = -z*f. Which is smaller: o or -2?
-2
Let v = -16 - 3. Is -19 <= v?
True
Let b = 231 + -235. Let c be 2/(-8) - (-7)/(-4). Is b at least as big as c?
False
Suppose o = -0*o - 1. Does -3 = o?
False
Let t(s) = 2*s - 3. Let u be t(4). Let j = -3 + u. Suppose -j*n = -7*n. Which is smaller: n or -2/7?
-2/7
Let u be (-20)/7 - (-4)/1. Which is greater: u or 2?
2
Let n(l) = 3*l**2 - 31*l + 12. Let z be n(10). Do 16/11 and z have the same value?
False
Let z be (-7)/(-14) + 5/(-2). Do z and -2 have the same value?
True
Suppose 2*k - 10 = 12*k. Which is smaller: -2 or k?
-2
Let x(g) = -g**3 + g**2 + 1. Let n(h) = -3*h**3 + 4*h**2 - 4*h + 4. Let d(t) = n(t) - 2*x(t). Let f be d(2). Is -6 at least as big as f?
True
Let r be (3/18)/(10/687). Let f = -56/5 + r. Which is bigger: 1 or f?
1
Suppose -1 - 9 = -5*w. Let a(s) = s**3 - 5*s**2 + 5*s - 2. Let c be a(4). Suppose -d = -5*q - 1 - w, 3 = d - c*q. Is 1 less than or equal to d?
True
Let t(x) = -x**2 + 5*x + 20. Let r be t(9). Let i = r - -16. Do 1/6 and i have the same value?
False
Let u be ((-4)/16)/((-3)/(48/166)). Which is bigger: 0 or u?
u
Let a be 0 + 2 + (-1 - -13). Let l be -1 + (-4)/((-40)/a). Which is smaller: 3/4 or l?
l
Let j = 0.03 - -0.02. Let z = 1.95 + j. Is z at least as big as 1?
True
Suppose 0 = -4*u - 8. Let i be -1*(0 + u) + 0. Let p be (1/(-2))/((-2)/4). Is p equal to i?
False
Let m be (4 + -1)*6/9. Which is smaller: m or 7/4?
7/4
Let f(d) = -9*d**3 - 25*d**2 - 7*d + 18. Let p(r) = 5*r**3 + 13*r**2 + 3*r - 9. Let o(x) = -6*f(x) - 11*p(x). Let s be o(8). Is -2 bigger than s?
False
Let t(c) = -c + 1. Let b be t(2). Let p = 1385 + -9067/7. Let w = p + -90. Which is smaller: w or b?
b
Let a = 4 + -7. Suppose 2*g - 2*m = -12 - 2, 2*g + 12 = m. Are a and g non-equal?
True
Let d = -9 - -13. Suppose 0 = -4*u, j + d*u + 548 = -3*j. Let y = j - -551/4. Which is greater: 1 or y?
1
Suppose -n - 3 = -5. Is n <= 1?
False
Let s = 605 - 19963/33. Let v(r) = 4*r. Let j be v(1). Suppose i = -j*i. Which is bigger: i or s?
s
Let k(f) = -f - 4. Let u be k(0). Suppose -2 + 14 = -3*c. Is c greater than u?
False
Let x = -3 - -3. Let d = -1 + x. Which is smaller: 3/5 or d?
d
Suppose -2*a + 5*a = -6. Let i be (-995)/(-2)*a/(-20). Let v = -50 + i. Which is bigger: -2 or v?
v
Let o = -383/1064 - 2/133. Which is smaller: -1 or o?
-1
Let l be (-2)/(6/(-9)) - 1. Suppose 2 = -0*u + l*u. Which is greater: u or 3/4?
u
Let g = -20 + 24. Let w(n) = -n**3 + 5*n**2 - 4*n + 3. Let d be w(4). Which is greater: d or g?
g
Suppose 2*h = -8 - 6. Let g be (-96)/(-7) - 2/h. Let p be 3/6*4/g. Is p > 1?
False
Suppose 3*q - 16 = 11. Suppose -7*v = -q*v. Which is bigger: v or -1/3?
v
Let i(w) = -w - 5. Let p be i(-5). Let d = p + 4. Let u = 4 - d. Which is smaller: 2/3 or u?
u
Let j = 0 + -0.8. Let d = 1.2 + j. Is d at most 2/5?
True
Let a(f) be the third derivative of f**5/30 - 5*f**4/12 + 3*f**3/2 - 3*f**2. Let b be a(6). Suppose -2*l = -5*v - b, -v = 4*v + 25. Are -3/4 and l equal?
False
Let k be (2/6)/(21/18). Let p be 2/9 + (-5 - (-190)/36). Which is smaller: k or p?
k
Let o = 209/10 - 21. Let h be 26/6 + (-2)/6. Let r be (h/12)/(1/(-3)). Are r and o nonequal?
True
Let n = -116/923 + -2/71. Suppose y = -4*y. Which is smaller: n or y?
n
Let g = -2 + 2.3. Let h = -194 + 1742/9. Let p = -7/9 - h. Which is bigger: p or g?
g
Let q be 4*((-10)/4 - -2). Let f be 4/10*10/q. Let x be 2/(-18)*(f - 1). Is -3 at least as big as x?
False
Let w(y) = 7*y - 3*y**2 - 3 + 2 + 2*y**2 - 3. Let u be w(6). Let h be (3/u)/((-27)/(-12)). Is h not equal to 2?
True
Let x(k) = k + 12. Let b be x(-5). Let o be -4 + b/((-35)/(-40)). Let i(w) = w**2 - 5*w - 1. Let a be i(6). Is o bigger than a?
False
Suppose h = 3 + 2. Suppose -k = -3*a - h, 0 = -5*k - 4*a - 0*a - 32. Does k = -4?
True
Let z be 3 - (-2 + 2 - 0). Let m(b) = b**2 + 9. Let j be m(0). Suppose -p + z*f = -j, f + 4 = 4*p + 1. Do 0 and p have different values?
False
Suppose r + 2*u = 9, 0 = -4*r - r - 2*u + 29. Let j = -10 - -15. Let b = j - r. Which is bigger: -2/5 or b?
b
Let r(h) = h - 3. Let x be r(4). Does 2 = x?
False
Let m be -1 + (-9)/213*(-74)/3. Which is bigger: m or 1?
1
Suppose -5*n = -5*f - 15, f = 4*f + n + 1. Let g be 94/(-312) - 2/(-8). Which is bigger: f or g?
g
Let y = 52 + -59. Is y at most -2?
True
Suppose j + 12 = 4*j. Let p be j*(1 - (-6)/(-4)). Let s be p/(-5) + 11/35. Which is greater: 2 or s?
2
Suppose -m - 4*d = -0*m - 7, 0 = -m - 2*d + 5. Suppose -o = -m*o. Which is greater: 1/2 or o?
1/2
Suppose 4*z - 98 = -706. Let x be 2/9 - z/(-36). Let b(h) = -h**2 - 3*h + 7. Let f be b(-5). Is x equal to f?
False
Suppose 0 = -5*n + 4*k - 8, 0*n = 5*n + k - 2. Let m = -3 - n. Is -2 not equal to m?
True
Let s = -1 - -3. Suppose -2*g - s*g - 4 = 0. Is g greater than or equal to -5/4?
True
Let w be 6/21 - (-254)/(-7). Let t be 22/77 + w/(-70). Which is bigger: 0 or t?
t
Let z(b) = -b - 1. Let p be z(-4). Suppose 4*c = x - 3, 3*c - 4*x = -3*x - 1. Let v(k) = k**2 - 2. Let a be v(c). Is a >= p?
False
Let p be 6/15 - (-4)/20. Let c(w) = -w**3 - 2*w**2 + 3*w. Let f be c(-3). Let o = f + 0. Which is smaller: o or p?
o
Let i = -47 + 231. Let w be i/(-30) + 14/105. Suppose -13 = 5*j + 12. Is w at most as big as j?
True
Suppose 11 = -y - 0. Which is smaller: -10 or y?
y
Let s be 6/4*38/(-6). Let l = s + 31/3. Which is bigger: l or 2?
2
Let t = -0.1 + 0.2. Let i = 0.6 - t. Let n = 0.3 - i. Which is smaller: -0.1 or n?
n
Let g be 2 - ((-105)/(-22) - -3). Let l = 14/11 + g. Is l <= -4?
True
Let l(y) = -y**2 + 18*y - 1. Let n be l(18). Is -1/4 greater than or equal to n?
True
Suppose -n + 2 = -3. Let p = 8 - n. Let o be 2/8 + (-11)/(-4). Is o greater than or equal to p?
True
Let a = 41 - 42. Are 6/23 and a nonequal?
True
Let y(i) = -i + 5. Let q be y(6). Let f = 217/5 - 1083/25. Which is smaller: q or f?
q
Suppose 5*p + 4*u = 6, -2*u = -5*p + 3*p + 6. Suppose 2*o - p = -0. Do o and 3/2 have the same value?
False
Let r = -7 - -10. Let v be -1*1 - (-1 - 3). Suppose 0 = 3*x + 2*i - 12, v*i + i - 16 = -2*x. Is r > x?
True
Let s = -11 + -4. Let m be 0 + -1*6/s. Let g = -8 - -7. Which is bigger: m or g?
m
Let w = 7/6 + -1. Which is smaller: w or 1?
w
Suppose 3*s - 53 = -5*y + 5*s, -5*y + s = -54. Is y less than or equal to 11?
True
Let x = -761/10 + 76. Which is smaller: 0 or x?
x
Let w = 5 + 2. Let o = -6 + 12. Let s be (-3)/o - (-34)/4. Which is smaller: s or w?
w
Let k = -52081/138 - -1132/3. Let g = k + -59/506. Which is bigger: 1/5 or g?
1/5
Let m = 3/62 + 351/434. Is 0 <= m?
True
Let w = -4 - -4. Suppose -5*s - u = -24, -5*s + w*u + 2*u + 12 = 0. Suppose 0 = -b - 4*z + 6 + 7, -5*b + s*z = 7. Which is bigger: b or 0?
b
Let a = 71 - 75. Is 0 <= a?
False
Let a = -38 + 21. Let h be (-2)/3 + a/(-21). Does -1 = h?
False
Let v be -1 - 3/(6/(-4)). Suppose v + 1 = 2*q. Are 2 and q equal?
False
Let b be 3/1 - (7 - 1). Let c be ((-3)/6)/((-3)/(-6)). Is b greater than c?
False
Let q = -894/925 + 199451/225700. Let z = -2/61 - q. Is z less than or equal to 0?
False
Suppose -t + 0 + 4 = 0. Suppose -5 = -5*j, 0*j + 3*j + 5 = t*r. Let p be ((3/r)/1)/3. Which is greater: p or 0.2?
p
Let z be (-1 - 33/15) + 3. Which is greater: z or -2/13?
-2/13
Let b be (-2)/(-3)*225/(-3). Let m be (-3)/b*4/3. Do m and -1 have the same value?
False
Let w be 0 + -1 + -4 + 3. Let t = 2 - w. Let a be (2 - 0/2)*2. Is a at least t?
True
Let l(s) = 10 + 0*s - 6*s**2 + s**3 + s + 14*s**2. Let c be l(-8). Suppose -1 = 3*k + x + c, -2*x - 4 = 4*k. Which is smaller: k or 0?
k
Let s(x) = -x + 7. Let a be s(6). Let p be (-8)/6 - (-195972)/396. Let m = p - 493. Is a bigger than m?
True
Let y = -403/120 + 1/40. Let z = y + 113/33. Which is bigger: z or -1?
z
Let q = -0.4 - -0.3. Let s = q + 1.1. Let w = -0.05 + 3.05. Do s and w have the same value?
False
Let o = 0.31 + -0.2. Let y = -0.41 + o. Are y and 1/6 nonequal?
True
Suppose -v - 2*v = -33. Let q(r) = r - 9. Let j be q(v). | {
"pile_set_name": "DM Mathematics"
} |
rest one hundred thousand?
800000
Let p = -9.76 + -0.24. Let q = p + -2.7. Let b = q - -7.1. Round b to the nearest integer.
-6
Let d = 70.3 + -67. Let t = -3.30000027 + d. Round t to 7 dps.
-0.0000003
Let t = -2.59 + 2.5901754. Round t to 5 decimal places.
0.00018
Let w = 356 + -352.255. Let v = -4.85 + w. Round v to one dp.
-1.1
Let i = -0.0463 - -0.2011. Round i to two dps.
0.15
Let y(j) = 404444*j**2 + 3*j - 5. Let l be y(3). Suppose -3*b - l = -5*b. What is b rounded to the nearest one hundred thousand?
1800000
Let h = -155.5007 + 155.5. What is h rounded to four dps?
-0.0007
Suppose 2*x = j + 5*x, -4*x + 20 = -2*j. Let t be 4*30*1*j/9. Round t to the nearest one hundred.
-100
Let z(n) = -164*n**2 - 21*n + 120. Let h be z(16). What is h rounded to the nearest one thousand?
-42000
Let d be 7 + (-2989652)/(-7) + 3/(-21). What is d rounded to the nearest one hundred thousand?
400000
Let y = 98 - 97.999998342. Round y to seven dps.
0.0000017
Let z = 231.631 + 0.369. Let c = -230.77 + z. Round c to one decimal place.
1.2
Suppose -40 = -2*g - 16. Let s be 225/12 - (-6)/(-8). Let j be (-3)/s - (-14)/g. Round j to the nearest 10.
0
Let p = -78.09892 + -0.17108. Let d = p - -0.27. Let s = -77.99999886 - d. Round s to 7 dps.
0.0000011
Let s = -0.037 - -33.037. Let a = 32.56 - s. What is a rounded to one decimal place?
-0.4
Let a(u) be the third derivative of -21133*u**5/20 + 5*u**4/12 - 17*u**2 - 2. Let c be a(-10). What is c rounded to the nearest one million?
-6000000
Let k = -1397.999997651 - -1398. Round k to 7 dps.
0.0000023
Let x(k) = 16*k**3 + 4*k**2 - 50*k - 74. Let c be x(37). Round c to the nearest ten thousand.
810000
Let n = -0.1911 + 0.2814. What is n rounded to three dps?
0.09
Let y = -99 + 98.2. Let u = -0.79916 - y. Round u to four dps.
0.0008
Let x = -705.99703 - -706. Round x to four dps.
0.003
Let b = -9 - -9.02. Let n = -0.34 - b. Let l = -0.53 - n. Round l to 1 dp.
-0.2
Let o = 2191 + -2190.99998617. Round o to 6 dps.
0.000014
Let r = -44669778.046040615 - -0.046040615. Let f = 44670068.00189 + r. Let c = f - 290. Round c to four decimal places.
0.0019
Let k = 216.55 + -198. Let p = -19 + k. Let l = p - -0.4500033. What is l rounded to 6 decimal places?
0.000003
Let h = -809347 - -3729344. Suppose -4*a + h = 3*l, 4*a = a + 5*l + 2190005. Round a to the nearest one hundred thousand.
700000
Suppose 546 = 2*j - 474. Suppose 2*x - 144 - j = 0. Suppose 4*m - x = 393. Round m to the nearest one hundred.
200
Let m be (-3 + (-7)/(-3))*18. Let k(w) = 354169*w + 28. Let f be k(m). Round f to the nearest one million.
-4000000
Let y = 213 + -213.00379. Round y to 3 dps.
-0.004
Let z = 0.289 + -0.288994028. What is z rounded to 6 dps?
0.000006
Let k = -103 - -103.00064. What is k rounded to four dps?
0.0006
Let p(q) = 255713*q + 1 - 9 + 17. Let g be p(7). What is g rounded to the nearest 100000?
1800000
Let t = 55032 + -15392. What is t rounded to the nearest one thousand?
40000
Let u be (1/(-2))/((-4)/56). Suppose u*g - 3*g + 52 = 0. Let q be (100 + 1)*(g + 3). Round q to the nearest 100.
-1000
Let n = -2.798 + -209.602. What is n rounded to the nearest 10?
-210
Let q = 0.74 - -1.06. Let u = q - 1.31. Round u to two dps.
0.49
Let m = 0.398 - 0.5776. Round m to 3 decimal places.
-0.18
Let n = -25704957 + 51541025. Let a = 38336068 - n. What is a rounded to the nearest 1000000?
13000000
Let a(g) = -2*g**3 - 3*g**2 + 15*g + 83. Let f be a(-4). Round f to the nearest ten.
100
Let a = -372.1 + 375. What is a rounded to the nearest integer?
3
Let c = 61 + -76. Let k = c - -14.9946. What is k rounded to 3 dps?
-0.005
Let o = 64 - 65. Let g be (1 - (0 - 2))/1. Let t be 1 - (-8301 + g + o). Round t to the nearest 1000.
8000
Let i = 0.579 - 0.58. Let k = i - 0.409. What is k rounded to 1 dp?
-0.4
Let f = -13 - -17. Suppose -6*i = -5*i + f. Let w be (i - 7996)*19*-25. Round w to the nearest 1000000.
4000000
Let y = -0.2574459 - -224.2564559. Let j = y - 224. Round j to four dps.
-0.001
Let h = 0.5756 + -0.529. What is h rounded to 2 dps?
0.05
Let t = -310.0000096 + 310. Round t to five dps.
-0.00001
Let a = 3.78 - 4. Let n = a - -1.52. Let f = -1.300088 + n. What is f rounded to five dps?
-0.00009
Suppose y + 3*m - 4751410 + 839425 = 0, 5*y = -m + 19559995. Round y to the nearest one hundred thousand.
3900000
Let k(d) = -502*d - 16. Let b be k(-8). Suppose b = -r - 4*r. Round r to the nearest one thousand.
-1000
Let o = -1594.29 - -1587. Let w = o - -18.07. Let y = w + -0.18. What is y rounded to zero dps?
11
Let w(t) = -1459*t. Let a be w(-1). Suppose -3*p + 3 = -6, p = y + 692. Let l = a + y. Round l to the nearest one hundred.
800
Let d = -1.08 - -15.48. Let p = d + 39. What is p rounded to the nearest ten?
50
Suppose 0 = 3*f - i - 2459991, 2*f + 944833 = 2*i + 2584827. Suppose 3*n - 2*c - 1229988 = 2*c, 0 = 2*n - c - f. What is n rounded to the nearest 100000?
400000
Let b = -16593485532.985839654122 - -16593485533. Let o = -505.985842724122 - b. Let c = -506 - o. What is c rounded to 7 dps?
0.0000031
Suppose 5*p + 3*s = 2*s + 26, -2*p = -s - 9. Suppose -2*q = o + 2332, -o + 6*o - p*q + 11645 = 0. What is o rounded to the nearest 100?
-2300
Let v = -2 + 1. Let d = 66 + v. Let z = d + -65.00000122. Round z to seven dps.
-0.0000012
Let w = 91 + -90.68. Let z = w - 0.544. Round z to 1 decimal place.
-0.2
Let x = -11 - -34. Let d = x + -22.28. Let o = d + -0.71913. What is o rounded to 4 dps?
0.0009
Let v = -0.01 + -26.49. Let x = -26 - v. Let m = x + -0.49912. What is m rounded to 4 decimal places?
0.0009
Let n(i) = i + 5. Let t be n(-9). Let u = t + 10. Suppose 0 = b - 3*y + 5312, -2*y = 3*b - u*y + 15916. What is b rounded to the nearest one thousand?
-5000
Let a = -6334793 + 6335057.0109. Let y = a + -264. What is y rounded to 2 decimal places?
0.01
Let n be 8/2 + -2 + 2. Suppose -d = 5*w - 3*d, -n*w = d - 13. Suppose w*h - 7*h + 3*v = 275, 2*h + 5*v + 110 = 0. What is h rounded to the nearest 10?
-60
Let i = -1319 + 1316.72. Round i to zero dps.
-2
Let i = 81.724 + -83.8. What is i rounded to one dp?
-2.1
Let d = 31 - 27.5. Let y = -3.500047 + d. What is y rounded to 5 dps?
-0.00005
Let l = 364.1606 - 364. What is l rounded to 2 decimal places?
0.16
Let k = 4.17423 + -4.13. Let t = k + -0.044. What is t rounded to four decimal places?
0.0002
Let d = 3.73 + -3.7300651. Round d to five dps.
-0.00007
Suppose -18*o + 74144000 = -34*o. Round o to the nearest one hundred thousand.
-4600000
Let s(g) = 412244*g**3 + 9*g**2 + 107*g. Let q be s(-7). Round q to the nearest one million.
-141000000
Let y = -0.161 - -98.161. Let q = 15 + y. Let n = q + -113.00094. What is n rounded to 4 decimal places?
-0.0009
Let j = -0.54 - 79.46. Let l = 79.999879 + j. Round l to five decimal places.
-0.00012
Suppose 0 = -5*i - 5*b + 31849990, -4*i - 5*b = -8*i + 25480010. What is i rounded to the nearest 1000000?
6000000
Let d = 269.3 + -268.947. Round d to two decimal places.
0.35
Let z = -0.59 + -25.41. Let k = z - -26.17. What is k rounded to one dp?
0.2
Let u = 2285.00002118 - 2285. What is u rounded to six decimal places?
0.000021
Let y = -34.2961 + -29.7188. Let i = y - -64. Round i to 3 dps.
-0.015
Let k(q) = -207978*q**3 - 5*q + 3. Let f be k(3). Let i(w) = -173629*w - 15. Let u be i(7). Let a = u - f. What is a rounded to the nearest one million?
4000000
Let z = -12200 - -12165.226. Let q = 0.474 + z. What is q rounded to the nearest integer?
-34
Let y = 18.203 - 18. What is y rounded to one decimal place?
0.2
Let m be (2 - 32)*(-14)/4. Let k = -17 + 202. Let p = m - k. Round p to the nearest 100.
-100
Let v = 55.079 - -1.021. Round v to the nearest integer.
56
Let f = 586 + -485.77. Round f to the nearest 10.
100
Let k = -56 + -148. Let y = k - -25. Let j = y - -180.29. Round j to 1 dp.
1.3
Let g(y) = 27*y**3 - 17*y**2 + 15*y - 45. Let f be g(11). Round f to the nearest one thousand.
34000
Let l = 0.79 - 0.09. Let n = l - 0.78. Let b = n + -1.72. What is b rounded to the nearest integer?
-2
Let x(y) = -155001*y - 4. Let b = -81 - -77. Let r be x(b). What is r rounded to the nearest 100000?
600000
Let d = 27 - 28.2. Let l = d - -1.2069. Round l to three decimal places.
0.007
Let j = -180784 - 410516. What is j rounded to the nearest 10000?
-590000
Let r = 15 | {
"pile_set_name": "DM Mathematics"
} |
vided by -51696.
41/51696
Divide -23870749 by -7.
3410107
238254487 divided by 1
238254487
What is 23129714 divided by -11564857?
-2
What is 0 divided by 16554852?
0
Calculate -13106058 divided by 194.
-67557
Divide -843188 by 14.
-421594/7
-3789557 divided by -199
19043
Calculate -72 divided by 17205.
-24/5735
-886 divided by 6190
-443/3095
What is 10 divided by -1826927?
-10/1826927
Divide 178929568 by 11183098.
16
-80498500 divided by 643988
-125
Divide -48116 by 247.
-48116/247
What is -458358 divided by 237?
-1934
Calculate 36177 divided by -1334.
-36177/1334
12 divided by 520813
12/520813
Divide -4 by -1964487.
4/1964487
Divide -462558285 by -6231.
74235
What is -166864 divided by 1656?
-20858/207
Divide 12980160 by 649008.
20
Divide 30293274 by 6.
5048879
What is -23832900 divided by -29100?
819
305027167 divided by 6
305027167/6
What is -34320460 divided by 6864092?
-5
274551252 divided by 12
22879271
Divide -156234523 by 3633361.
-43
Calculate 9915583 divided by 2.
9915583/2
Divide -3106 by 1452.
-1553/726
Divide 2046661 by 3.
2046661/3
Calculate 7617878 divided by 5.
7617878/5
What is -2746916 divided by -50?
1373458/25
Calculate 37895 divided by 12.
37895/12
Calculate 7351854 divided by -72077.
-102
What is 158570 divided by 1570?
101
Divide -1610686133 by -763.
2110991
What is 11474676 divided by -181?
-63396
Divide -54 by 503352.
-3/27964
What is -138555010 divided by -2885?
48026
Divide 11 by 92862.
1/8442
Divide 4753585 by 5.
950717
5 divided by -5302181
-5/5302181
4357878 divided by -5
-4357878/5
What is -136942113 divided by -5929?
23097
Calculate -22622751 divided by -603.
37517
Calculate 55186480 divided by -3449155.
-16
Divide 499436 by 100.
124859/25
Divide 6453438 by 7701.
838
-43104301 divided by 233
-184997
What is -9943 divided by -1069?
9943/1069
-43070927 divided by 21041
-2047
Calculate -659418996 divided by 52194.
-12634
Divide -199064716 by 75892.
-2623
What is -9699840 divided by 4608?
-2105
-5000552 divided by -2
2500276
4 divided by -49106674
-2/24553337
What is 710995065 divided by 31453?
22605
Divide -160080042 by 53360014.
-3
0 divided by -28224812
0
-17612599 divided by -29
607331
What is -17654970 divided by 3?
-5884990
13161516 divided by -1096793
-12
Divide 2486 by 23060.
1243/11530
521988 divided by -7
-521988/7
Calculate 593 divided by 24098.
593/24098
Divide -861490 by -160.
86149/16
Divide -106547308 by -47.
2266964
Divide -819792209 by 1.
-819792209
What is 13071990 divided by -2614398?
-5
Divide 15834082 by 5.
15834082/5
75 divided by 5711548
75/5711548
Divide -2003336 by -8.
250417
Calculate 4 divided by -4831251.
-4/4831251
Divide 15136608 by -7568304.
-2
Divide -2856030 by -2573.
1110
Calculate -29704185 divided by -17.
1747305
What is -503471 divided by 12?
-503471/12
What is -2 divided by 3140771?
-2/3140771
Calculate 181191832 divided by 6.
90595916/3
What is -4087373700 divided by -6?
681228950
-1519524 divided by 4
-379881
Divide 666907124 by -2.
-333453562
What is 38 divided by 424619?
38/424619
Divide -18469 by 89808.
-18469/89808
What is 2202423 divided by 14?
2202423/14
Divide 388 by 165475.
388/165475
-49373948 divided by 6
-24686974/3
What is 119482 divided by -4?
-59741/2
Divide 5 by -3301823.
-5/3301823
23 divided by -129442
-23/129442
Calculate -13173438 divided by -41.
13173438/41
Calculate 124283 divided by -93.
-124283/93
-21403564 divided by -3556
6019
-152558805 divided by -21
7264705
What is 1 divided by 8441207?
1/8441207
Divide -7866 by -85631.
7866/85631
Divide 160549494 by -3661.
-43854
What is -8320 divided by 73?
-8320/73
What is -1378020 divided by -5404?
255
Calculate -170 divided by 1129473.
-170/1129473
30617210 divided by -2
-15308605
Calculate -3867552 divided by -39.
99168
Divide -133266164 by 9473.
-14068
What is 3 divided by -4732902?
-1/1577634
-2 divided by 4451499
-2/4451499
-14654100 divided by -976940
15
Divide -16865518 by -1.
16865518
What is 19524726 divided by -117?
-166878
What is -131 divided by 385651?
-131/385651
Calculate -144905072 divided by 696659.
-208
Divide -36514550 by -167.
218650
Divide -2 by 5031002.
-1/2515501
Calculate -68115025 divided by -13623005.
5
Divide 11 by -1167003.
-11/1167003
What is -548748 divided by -5?
548748/5
What is -196 divided by -60169?
196/60169
Calculate -166464771 divided by -33.
5044387
Calculate -23866572 divided by -12.
1988881
Calculate -5288814 divided by 2.
-2644407
What is 28873467 divided by -9?
-3208163
Calculate -11577231624 divided by 6.
-1929538604
What is -441762888 divided by -147254296?
3
17612916 divided by -74631
-236
What is -5559 divided by -36308?
5559/36308
Calculate 2944734 divided by -51662.
-57
Calculate 26910 divided by 3765.
1794/251
-86515375 divided by -1135
76225
Divide 22973 by -42.
-22973/42
-84 divided by 58285
-84/58285
What is 559616355 divided by 4?
559616355/4
Calculate -5 divided by -4287137.
5/4287137
-2 divided by -1471836
1/735918
Divide 12845520 by -270.
-47576
Calculate 168 divided by -607821.
-56/202607
Divide -57184500 by 300.
-190615
Divide 0 by -2157029.
0
306 divided by 11918
153/5959
6962422 divided by 151357
46
-14640052 divided by -90932
161
What is -10263770 divided by 5?
-2052754
-67872467 divided by 481
-141107
1182 divided by 11025
394/3675
-184 divided by 788422
-92/394211
What is 194756156 divided by 54523?
3572
Calculate -72404750 divided by 2.
-36202375
What is -52482 divided by 204?
-8747/34
1355 divided by -426490
-271/85298
Divide -31765396 by -4.
7941349
Calculate 3 divided by -25181245.
-3/25181245
Calculate 14146445 divided by -2829289.
-5
What is -27122805 divided by 4?
-27122805/4
What is 6110 divided by 108769?
6110/108769
What is 21970466 divided by -10985233?
-2
-1 divided by -5343968
1/5343968
What is 157742800 divided by 31548560?
5
Divide -5703828 by -5.
5703828/5
377186958 divided by -6
-62864493
Divide -69 by -753906.
23/251302
Divide 606649278 by 2614.
232077
What is 150730 divided by -5?
-30146
77703 divided by 221
77703/221
3689805 divided by -15
-245987
Calculate -4981340 divided by 142324.
-35
Calculate -81715347 divided by -171311.
477
Calculate 290332887 divided by 2067.
140461
Divide -836076 by -57.
14668
-37114870 divided by 5
-7422974
-219408 divided by 834
-36568/139
Divide 214 by 2831.
214/2831
Calculate -53444 divided by 212.
-13361/53
Divide 12714980 by 68.
186985
-280942506 divided by -111618
2517
12520514 divided by -2
-6260257
What is -20137888 divided by 5034472?
-4
What is -6154 divided by 107?
-6154/107
What is -18672273 divided by 51?
-366123
What is 11535 divided by -1254?
-3845/418
Divide 18068721 by 11.
1642611
Calculate -127126308 divided by 978.
-129986
What is -22788 divided by 19025?
-22788/19025
Divide 422859 by -432.
-140953/144
What is -10892190 divided by -5?
2178438
Divide -3 by 110754425.
-3/110754425
2 divided by 2198483
2/2198483
1 divided by -20038716
-1/20038716
Calculate 3 divided by -47908829.
-3/47908829
Calculate 68763175 divided by 4325.
15899
Divide 306456507 by 1.
306456507
What is -140781399 divided by 3?
-46927133
Divide 129010108 by -32252527.
-4
Divide 4 by 121320956.
1/30330239
What is 5 divided by -47509830?
-1/9501966
Calculate 27832372 divided by -8.
-6958093/2
What is 6802 divided by -242?
-3401/121
4519581 divided by 1661
2721
68890 divided by -51
-68890/51
-31628550 divided by -6
5271425
-11633223 divided by 5
-11633223/5
Divide -1199166 by -6.
199861
Divide 336 by -335933.
-336/335933
1712647692 divided by 21
81554652
Divide 90 by -5630645.
-18/1126129
What is -2562696 divided by -854232?
3
What is -54385 divided by 2241?
-54385/2241
Divide 210767 by 81.
210767/81
Divide 32750848 by 96896.
338
55 divided by 35427
55/35427
-3 divided by -109396
3/109396
Divide 5577075 by -265575.
-21
Divide -4088711 by -11.
371701
-4168 divided by 8942
-2084/4471
Divide -210217 by 88.
-210217/88
10281750 divided by 5140875
2
-166 divided by 112198
-83/56099
What is -6078505 divided by -83?
73235
Divide -29975610 by -856446.
35
Calculate -6140 divided by -1140.
307/57
Calculate -11794951 divided by 9.
-11794951/9
Divide -8429142 by 8429142.
-1
-93388611 divided by 759257
-123
What is -2 divided by -280138?
1/140069
Divide 181159528 by 233453.
776
What is -6357870 divided by 77535?
-82
What is -754 | {
"pile_set_name": "DM Mathematics"
} |
t(119))/sqrt(7) - ((sqrt(17) - (sqrt(17)*-1 + 3)) + sqrt(17)).
-sqrt(17) + 3
Simplify (1*sqrt(57)/sqrt(3) + (sqrt(133)/(sqrt(7) + sqrt(35)/sqrt(5)) - sqrt(19)))**2.
19/4
Simplify ((sqrt(190)/sqrt(5)*2)/(sqrt(320)/sqrt(10)))**2.
19/4
Simplify (sqrt(99)*-1)/sqrt(9) + -1.
-sqrt(11) - 1
Simplify (sqrt(200) + sqrt(200) + 2*sqrt(200) + sqrt(200) + -2)**2 + (sqrt(2) - sqrt(10)/(1*sqrt(5)) - (sqrt(2)*-1 + 5))**2.
-210*sqrt(2) + 5031
Simplify (-1*sqrt(204)*-3)/(sqrt(588) - (sqrt(588) - 2*sqrt(588))).
3*sqrt(17)/14
Simplify (sqrt(567) + sqrt(567) + 3)**2*6.
648*sqrt(7) + 13662
Simplify ((sqrt(121)/(1*sqrt(11)) - sqrt(11)) + -1)*-6*-1.
-6
Simplify sqrt(98) + -2*(sqrt(98) - (-1 + sqrt(98)))**2.
-2 + 7*sqrt(2)
Simplify -4*((sqrt(76)/sqrt(4) + 3 - sqrt(19)) + sqrt(19) + 1*sqrt(19)*-2)**2.
-112 + 24*sqrt(19)
Simplify sqrt(104)/(sqrt(8)*3) + 0 + -4.
-4 + sqrt(13)/3
Simplify 2*((3 + (sqrt(13) - (sqrt(13) + 0) - sqrt(13)) - sqrt(65)/(1*sqrt(5))) + 2).
-4*sqrt(13) + 10
Simplify (4*sqrt(5)*4 - sqrt(15)/sqrt(3)*3)**2.
845
Simplify 2*(sqrt(208)*2)/sqrt(4).
8*sqrt(13)
Simplify sqrt(56)/sqrt(72)*-1.
-sqrt(7)/3
Simplify (sqrt(11) + 1 + -2 + 1)**2.
11
Simplify ((3 + (sqrt(8) + -2*sqrt(8))/sqrt(4))*2)**2.
-24*sqrt(2) + 44
Simplify ((-5 + 2*sqrt(704) - sqrt(704)) + (-4*(sqrt(704) + 0) - sqrt(704)))**2.
320*sqrt(11) + 11289
Simplify (sqrt(255)/sqrt(80) + sqrt(51))/(sqrt(3) - ((sqrt(3) - (-2*sqrt(3) - sqrt(3))) + sqrt(3))*-3).
5*sqrt(17)/64
Simplify -3*sqrt(405)/sqrt(9).
-9*sqrt(5)
Simplify sqrt(117) + sqrt(117) + (sqrt(117) + (sqrt(117) + -1 + sqrt(117))**2)*-4 + -3*(sqrt(117) + 2) + sqrt(117).
-1882 + 36*sqrt(13)
Simplify 5*(6*sqrt(104)*-4)/sqrt(8).
-120*sqrt(13)
Simplify (sqrt(216) - sqrt(216)*-2)/(1*sqrt(128)).
9*sqrt(3)/4
Simplify (sqrt(19) - ((1*sqrt(19) - sqrt(19)) + 2))*1.
-2 + sqrt(19)
Simplify -1 + (sqrt(114)/sqrt(32))/(sqrt(3) - 1*sqrt(3)*2).
-sqrt(19)/4 - 1
Simplify (sqrt(56)/((-1*sqrt(7) - sqrt(7)) + sqrt(7)))/(sqrt(4) - -5*(sqrt(4) + (sqrt(4) - (sqrt(4) - sqrt(36))))).
-sqrt(2)/21
Simplify ((0 + 2*sqrt(68) - (-4 + sqrt(68)*2 + sqrt(68))) + 5)**2.
-36*sqrt(17) + 149
Simplify (sqrt(39)/(3*sqrt(3)*5))**2.
13/225
Simplify (sqrt(2268)*5)/(-3*sqrt(9)*3).
-10*sqrt(7)/3
Simplify (-5*sqrt(22)/(sqrt(11)*3 + sqrt(11) - sqrt(11)))**2.
50/9
Simplify 1 + sqrt(1573) + 1 + (5*sqrt(1573)*2)**2.
11*sqrt(13) + 157302
Simplify ((sqrt(126)/sqrt(3))/sqrt(3))/sqrt(112).
sqrt(2)/4
Simplify (-1*((sqrt(75) - sqrt(3) - sqrt(3)) + sqrt(3)))**2 - (-2 + sqrt(75)).
-5*sqrt(3) + 50
Simplify 0 + (sqrt(78)/sqrt(6) - sqrt(13)) + 2*((sqrt(26)/sqrt(2))**2 - sqrt(13)).
-2*sqrt(13) + 26
Simplify ((sqrt(3136) + -2*sqrt(3136) - sqrt(3136)) + sqrt(3136))/(-2*sqrt(112)).
sqrt(7)
Simplify (sqrt(198)/(sqrt(24)/sqrt(4)))/(sqrt(33)/(sqrt(12)/sqrt(4))).
sqrt(3)
Simplify (sqrt(325) - (sqrt(325) + -3 + sqrt(325) + 2))**2 + -4.
-10*sqrt(13) + 322
Simplify 4 + (3*sqrt(33)/sqrt(3))**2.
103
Simplify -5 + -1*sqrt(32)*-3.
-5 + 12*sqrt(2)
Simplify (sqrt(15)/sqrt(300))**2 - (sqrt(120)/sqrt(3))/sqrt(8).
-sqrt(5) + 1/20
Simplify ((2*sqrt(77)*3)/(-2*sqrt(63)) + 2)**2.
-4*sqrt(11) + 15
Simplify (sqrt(15)*2*3 - sqrt(15))/(6*sqrt(9)/sqrt(3)).
5*sqrt(5)/6
Simplify (sqrt(63) + 2 + sqrt(252)/sqrt(4))**2.
24*sqrt(7) + 256
Simplify (sqrt(88) - (sqrt(88) + -5*((sqrt(88) - -1*sqrt(88)) + sqrt(88))))/(sqrt(32)/(sqrt(4)*2)).
30*sqrt(11)
Simplify (sqrt(175)*-2 + -1 + sqrt(175) + -4)**2.
50*sqrt(7) + 200
Simplify (1*(sqrt(77) + sqrt(77)*-2))/sqrt(11).
-sqrt(7)
Simplify (sqrt(4840)*1 + sqrt(4840))/(3*sqrt(72) + sqrt(72) - sqrt(72)).
22*sqrt(5)/9
Simplify sqrt(931) + ((sqrt(931) + sqrt(931) + sqrt(931)*-2)*-1)**2.
7*sqrt(19)
Simplify 3 + -2 + (sqrt(11) + -3)**2.
-6*sqrt(11) + 21
Simplify -4 + 1*sqrt(5) + 3 + (sqrt(45) + sqrt(5) + 3)*-4.
-15*sqrt(5) - 13
Simplify (1*-2*sqrt(5)*-2)**2.
80
Simplify (sqrt(66)/sqrt(864) - sqrt(11)) + sqrt(44) + -3.
-3 + 13*sqrt(11)/12
Simplify -4 + sqrt(11) + 4 - sqrt(176)*-1.
5*sqrt(11)
Simplify 3*sqrt(180)/sqrt(9).
6*sqrt(5)
Simplify 0 + sqrt(243) + -4.
-4 + 9*sqrt(3)
Simplify ((sqrt(396) - (-4 + sqrt(396) + -1) - sqrt(396)*2*6)*-2)**2.
-2880*sqrt(11) + 228196
Simplify (sqrt(40)/(sqrt(8)*-2) - (sqrt(20)/sqrt(4) + 2))**2*3.
18*sqrt(5) + 183/4
Simplify (sqrt(5616)*2)/(sqrt(147)*-1).
-24*sqrt(13)/7
Simplify (sqrt(144)/(sqrt(45)/sqrt(5)))/(sqrt(88)/(sqrt(11) - 2*sqrt(11) - sqrt(11))).
-2*sqrt(2)
Simplify (-5*sqrt(171) - sqrt(76)/sqrt(36)) + 1.
-46*sqrt(19)/3 + 1
Simplify -4*sqrt(180)/sqrt(9) + 2.
-8*sqrt(5) + 2
Simplify -2 + (sqrt(208) + 2)**2*-1.
-214 - 16*sqrt(13)
Simplify (4 + -1*sqrt(1872))*-2.
-8 + 24*sqrt(13)
Simplify (sqrt(84)/sqrt(144))/(-3*sqrt(63)).
-sqrt(3)/54
Simplify -3 + (sqrt(108)/(sqrt(18)/sqrt(6) + sqrt(3)))/sqrt(12).
-3 + sqrt(3)/2
Simplify (-1 + sqrt(77)/sqrt(7) + sqrt(11) - sqrt(11))**2 - ((sqrt(11)*3 - sqrt(11)) + 3).
-4*sqrt(11) + 9
Simplify (0 + sqrt(7))**2 + -4 - (-4 + sqrt(252)).
-6*sqrt(7) + 7
Simplify ((-4*sqrt(4)*1)/sqrt(2) + 5)**2.
-40*sqrt(2) + 57
Simplify (sqrt(1300)*2 + 0)**2 + sqrt(1300).
10*sqrt(13) + 5200
Simplify 4*(sqrt(44)/sqrt(4) + sqrt(11)) + 1*sqrt(99).
11*sqrt(11)
Simplify sqrt(21)/(sqrt(21)/(sqrt(33)/sqrt(11))).
sqrt(3)
Simplify sqrt(320) - (sqrt(320) + (sqrt(320) + sqrt(320)*-2)**2 + 2).
-322
Simplify -2*sqrt(1539) + 4 + 5.
-18*sqrt(19) + 9
Simplify ((5*(sqrt(343) + 2) + sqrt(343))*6)**2.
30240*sqrt(7) + 448128
Simplify 1*((sqrt(5)*2 + 1)**2 + 2).
4*sqrt(5) + 23
Simplify ((sqrt(2187)*1 + sqrt(2187) - sqrt(2187) - sqrt(2187))/sqrt(9) - (sqrt(18)/sqrt(24) - (sqrt(3) + sqrt(15)/sqrt(80))))**2.
27/16
Simplify ((-1 + sqrt(72))*6)**2.
-432*sqrt(2) + 2628
Simplify (-2 + sqrt(3) + 0 + 5 + sqrt(3))*4.
12 + 8*sqrt(3)
Simplify 5*sqrt(243)*2.
90*sqrt(3)
Simplify sqrt(40)/sqrt(20) + 4.
sqrt(2) + 4
Simplify (sqrt(2057) - (sqrt(2057) + -1))**2 + -4 - (sqrt(2057) + (sqrt(2057) + sqrt(2057) + (sqrt(2057)*2)**2)*5).
-41143 - 121*sqrt(17)
Simplify (sqrt(42) + (sqrt(42)*2 - sqrt(42)))/sqrt(6) - (-5 + sqrt(7) + 2).
sqrt(7) + 3
Simplify ((sqrt(66)*-2*5)/(sqrt(216)*1))**2.
275/9
Simplify (-5 + (sqrt(320) - (sqrt(320) + -1)) + sqrt(320))**2*6.
-384*sqrt(5) + 2016
Simplify 1*sqrt(48) - ((sqrt(3) - (sqrt(75) - sqrt(3))**2) + sqrt(3))*-5.
-240 + 14*sqrt(3)
Simplify 3 + sqrt(99) + -3.
3*sqrt(11)
Simplify 5*(sqrt(891) + (0 + sqrt(891) - sqrt(891))*2).
45*sqrt(11)
Simplify (0 + sqrt(108))*1.
6*sqrt(3)
Simplify (((sqrt(156) + (-1*sqrt(156) - sqrt(156)) + sqrt(156) + sqrt(156))*1)/sqrt(12))**2.
13
Simplify 2 + sqrt(19) + -3 + -4*sqrt(19)*-4.
-1 + 17*sqrt(19)
Simplify (1 + sqrt(425) + 5)**2 - -4*(-2 + sqrt(425))**2.
-20*sqrt(17) + 2177
Simplify (sqrt(2200)*3)/(sqrt(88)/sqrt(2)).
15*sqrt(2)
Simplify (1*sqrt(30))/sqrt(10) + 0.
sqrt(3)
Simplify (sqrt(70)/sqrt(200))/sqrt(5).
sqrt(7)/10
Simplify (-1 + sqrt(539) + 4)**2.
42*sqrt(11) + 548
Simplify (-3 + -3*sqrt(44))*6.
-36*sqrt(11) - 18
Simplify 4 + sqrt(104)/(sqrt(8)/sqrt(4)) + 5.
2*sqrt(13) + 9
Simplify (sqrt(65)*2*-1)/(sqrt(405) + (sqrt(405) - sqrt(405)*1) + sqrt(405) + sqrt(405) + sqrt(405) - sqrt(5)).
-2*sqrt(13)/35
Simplify sqrt(720)/sqrt(9) + (2 + sqrt(10)/sqrt(2))**2.
9 + 8*sqrt(5)
Simplify -4 + (sqrt(18) - sqrt(144)/sqrt(8)) - sqrt(18).
-3*sqrt(2) - 4
Simplify ((sqrt(50) + sqrt(150)/sqrt(3))/sqrt(10))**2 + (sqrt(220)/sqrt(4) - sqrt(55))/sqrt(11) + ((1*sqrt(125) - sqrt(125)) + 2)**2.
24
Simplify 2*sqrt(34)/sqrt(2)*-4 + 5.
-8*sqrt(17) + 5
Simplify ((sqrt(2)*1)**2 + -2)*-4.
0
Simplify sqrt(275)*1*1*-6.
-30*sqrt(11)
Simplify ((sqrt(156) + sqrt(156) + (sqrt(156) - (5*sqrt(156)*2 - sqrt(156))))/(sqrt(1728)*1))**2.
13/4
Simplify sqrt(44)/(sqrt(16)/sqrt(4)) - (-1 + sqrt(11))*2.
-sqrt(11) + 2
Simplify sqrt(10)/((sqrt(5) - sqrt(45)*-6) + sqrt(5)) - (sqrt(6)/sqrt(3)*-5*5)**2.
-1250 + sqrt(2)/20
Simplify (sqrt(36)/(sqrt(24)/sqrt(2)) - (sqrt(33)*-2)/sqrt(11)) + -4.
-4 + 3*sqrt(3)
Simplify (1*sqrt(209)*3 - sqrt(209))/sqrt(11).
2*sqrt(19)
Simplify 3 + ((0 + sqrt(5))**2*-5 - (sqrt(5)*1 + 4)**2).
-43 - 8*sqrt(5)
Simplify (sqrt(98) + 0 + 5 - sqrt(98))*-5.
-25
Simplify sqrt(55)/(sqrt(11) + sqrt(99) - sqrt(11)) - sqrt(45)*1.
-8*sqrt(5)/3
Simplify (sqrt(4752) + sqrt(4752) + sqrt(4752)*1)/(sqrt(27)*-4).
-3*sqrt(11)
Simplify (1*sqrt(117)*-2 - sqrt(117))/(6*sqrt(18)/sqrt(2)).
-sqrt(13)/2
Simplify (sqrt(72)/sqrt(432))/(sqrt(400)/sqrt(8)).
sqrt(3)/30
Simplify (sqrt | {
"pile_set_name": "DM Mathematics"
} |
-898*x for x.
11
Solve 0 = 9563*y - 11149*y + 141154 for y.
89
Solve -140*m - 5040 = 177*m + 4*m + 15*m for m.
-15
Solve 683 - 7868 = -79*q - 944 for q.
79
Solve -1159*f + 1178*f - 63 - 89 = 0 for f.
8
Solve -221985 - 476797 = 15187*z + 201*z + 332214 for z.
-67
Solve -243*j - 512*j + 5516 = 624*j for j.
4
Solve -59*d = 1558 + 3894 - 1204 for d.
-72
Solve 5637*j = 5*j + 236277 - 89845 for j.
26
Solve -55*a - 1369 = -1904 - 2270 for a.
51
Solve 126410 = -4675*s - 305*s - 16797 - 210373 for s.
-71
Solve 0 = -6200*i + 6354*i + 716 + 4366 for i.
-33
Solve 883*x = 20590 + 39454 for x.
68
Solve 6624*z - 133650 = 7974*z for z.
-99
Solve -145*j + 102*j + 2429 = 138*j + 166*j for j.
7
Solve 0 = -199*c + 293*c - 1034 for c.
11
Solve 622*u - 14032 = -22025 - 26217 for u.
-55
Solve -12762*b - 462 = -12751*b - 1826 for b.
124
Solve -1471475 + 38001 = 1154*i + 10892*i for i.
-119
Solve 392*v - 61862 = -36382 for v.
65
Solve -301*s + 2790 = 792*s + 302*s for s.
2
Solve 0 = -23*t + 529788 - 530455 for t.
-29
Solve -8530 + 1643 - 44705 = -2415*x + 6368 for x.
24
Solve -35*x + 138 + 1026 - 184 = 0 for x.
28
Solve 617652*g + 35156 = 618026*g for g.
94
Solve 65*l - 10*l = 5*l - 263979 + 262979 for l.
-20
Solve -150*q - 2349 - 2744 = 2257 for q.
-49
Solve 0 = -43*g + 5101 - 7251 for g.
-50
Solve 16*m - 944*m + 12980 = 370*m for m.
10
Solve 61164 = -577*i + 58279 for i.
-5
Solve 223*s - 3044 - 4374 = -2289 for s.
23
Solve 11069 - 8095 = 647*d - 17918 - 5635 for d.
41
Solve -546*x - 10044 - 4893 + 2393 = -418*x for x.
-98
Solve 0 = 20*z + 494 + 952 - 426 for z.
-51
Solve -418519 = -169*i - 430687 for i.
-72
Solve -45815 = -1087*g - 624*g + 402*g for g.
35
Solve 4220*x = 1631*x + 88026 for x.
34
Solve 2209*x - 2009*x = 7800 for x.
39
Solve -554*z + 412*z + 37642 = 506*z + 7186 for z.
47
Solve 7981 - 3553 + 7442 = -2374*f for f.
-5
Solve 1615*j + 39808 - 136708 = 0 for j.
60
Solve -10709 = 260*v - 8580 + 16331 for v.
-71
Solve 1001*v - 224676 = -1843*v for v.
79
Solve 23*y + 221 - 509 - 116 = 33 for y.
19
Solve -1515*h + 34209 = -9126 - 26355 for h.
46
Solve -15388*w + 2547*w - 1515238 = 0 for w.
-118
Solve 14554 - 20026 = 144*t for t.
-38
Solve 0 = 665977*q - 665681*q - 22200 for q.
75
Solve -2331*o + 10600 = -1055 for o.
5
Solve -890 = 115*d + 3365 for d.
-37
Solve 585*u = 2411 - 19577 - 5649 for u.
-39
Solve 166*p + 160*p = -111*p + 24*p + 14455 for p.
35
Solve 1391*r = 212*r - 68382 for r.
-58
Solve -714*u - 50354 = -12999 + 16909 for u.
-76
Solve -541*n - 668*n = -1540*n + 584*n + 253 for n.
-1
Solve -3213*w + 2609*w - 14496 = 0 for w.
-24
Solve 25*w + 157 = 609 + 298 for w.
30
Solve -3274663*i + 3274618*i + 945 = 0 for i.
21
Solve 123*t - 412 + 738 = 35*t + 414 for t.
1
Solve -468*j + 4484 = -8620 for j.
28
Solve 127*a - 939080 + 945176 = 0 for a.
-48
Solve -194*i + 975 = 6977 - 1332 + 4060 for i.
-45
Solve -25*b - 83490 = 303*b + 464*b - 33*b for b.
-110
Solve 24*u + 40*u - 256 = 77*u + 4 for u.
-20
Solve -3805*w + 8469 = -6628*w for w.
-3
Solve 1775*k - 21119 = -19290 + 28346 for k.
17
Solve 0 = -282*j - 2114 - 2742 - 1630 for j.
-23
Solve -2514 + 44028 = -3774*r for r.
-11
Solve 0 = 1751*z + 32045 + 23987 for z.
-32
Solve 390954*g = 391031*g - 847 for g.
11
Solve 4764*c = 2510*c + 166796 for c.
74
Solve -5437 = -1527*t - 2932 + 5130 for t.
5
Solve 579*i = 29121 - 9435 for i.
34
Solve -2322*z + 20726 = -102340 for z.
53
Solve 8 - 87 = -7*w + 201 for w.
40
Solve -t + 0*t - 22*t - 585 = -88*t for t.
9
Solve 188*n + 3040 - 12064 = 0 for n.
48
Solve 0 = 108*f + 4*f + 199*f - 1555 for f.
5
Solve 53*s + 214*s - 2047 + 10278 = -2716 for s.
-41
Solve 16306*s - 32595*s = -16204*s - 2890 for s.
34
Solve -2*x + 38*x + 11025 = 477*x for x.
25
Solve 492*i = -414*i + 125*i - 37151 - 25329 for i.
-80
Solve 1148*f + 172*f + 4984 = -80*f - 1092*f for f.
-2
Solve -8*v = 10*v + 94181 - 95675 for v.
83
Solve 1023*n + 638 = -28825 - 44193 for n.
-72
Solve -70*g + 87*g - 6903 = -100*g - 60*g for g.
39
Solve -862 = 45*y + 483 + 160 + 250 for y.
-39
Solve 0 = 280*d + 206*d - 119*d + 2979 + 1792 for d.
-13
Solve 188*x + 12146 = -418*x - 2491 + 2517 for x.
-20
Solve -668182 = -4879*r + 13337*r for r.
-79
Solve 0 = -608*r + 20954 + 41062 for r.
102
Solve 1172 + 4 = 97*y - 182 for y.
14
Solve -3646*z - 13068 - 36721 - 1230 - 14609 = 0 for z.
-18
Solve -1445 = -2105*x - 39196 + 1966 for x.
-17
Solve 0 = -56*d - 28*d + 399 - 2079 for d.
-20
Solve -1339620 + 1314120 = 340*m for m.
-75
Solve 45158 + 3895 = 121*q + 555*q + 381 for q.
72
Solve -741*v = 772*v - 486*v - 48301 + 10302 for v.
37
Solve 770*a - 138101 = -1514*a + 40051 for a.
78
Solve 0 = 7105*b - 27665*b + 2323280 for b.
113
Solve -1057*z + 7526*z + 640431 = 0 for z.
-99
Solve -13*t - 149*t = 5659 + 821 for t.
-40
Solve 199 + 1309 + 22 = -26*i - 8*i for i.
-45
Solve -84290*t = -84335*t + 2790 for t.
62
Solve -1970*t - 11783 - 13827 = 0 for t.
-13
Solve -7091 - 132749 = -1840*z for z.
76
Solve -39*a = -4651*a - 299780 for a.
-65
Solve -337*y - 38489 = -44892 for y.
19
Solve 85481*q = 85578*q - 8051 for q.
83
Solve 105*t + 81*t - 22597 = -85*t - 112*t for t.
59
Solve 57*b + 78 - 45 - 153 - 450 = 0 for b.
10
Solve -1149*u - 21118 - 28139 = 34620 for u.
-73
Solve -13821*t = -13839*t - 900 for t.
-50
Solve -224*u - 39655 = 212*u - 141*u + 220*u for u.
-77
Solve 2804*g + 696*g + 65338 + 31341 = 23179 for g.
-21
Solve 356*y = 99742 - 121102 for y.
-60
Solve 939 = 65*k - 166 for k.
17
Solve 67284 = 124*s + 1478*s for s.
42
Solve 818*f - 15680 = 12950 for f.
35
Solve -1583*n = 104314 - 199294 for n.
60
Solve 306*d + 2081*d + 79646 = -3302*d for d.
-14
Solve 0 = 2300*m + 249547 - 54047 for m.
-85
Solve -19393*m = -19058*m + 2680 for m.
-8
Solve 876*w + 8636 = -7824 - 1936 for w.
-21
Solve 0 = -133*x + 45892 - 52675 for x.
-51
Solve -243925*a = -243586*a + 32883 for a.
-97
Solve 0 = -6373748*f + 6373628*f + 11400 for f.
95
Solve 45*d - 202 - 653 = 0 for d.
19
Solve 1862*c - 558*c + 80848 = 0 for c.
-62
Solve -406*x - 8754 - 6501 = 821 - 4708 for x.
-28
Solve 503603*d - 503654*d - 3264 = 0 for d.
-64
Solve 298981 = -496*l + 1019*l - 4734*l for l.
-71
Solve 12831 = -4166*a - 78821 for a.
-22
Solve 0 = 120023*t - 118567*t - 120848 for t.
83
Solve 1236 + 6463 = -751*j - 3566 for j.
-15
Solve 34*g - 81*g = -77*g - 3750 for g.
-125
Solve 191649*o = 191593*o + 616 for o.
11
Solve -2168*c + 1723*c = 15130 for c.
-34
Solve 2109*p + 2139*p - 1193*p - 122589 = 97371 for p.
72
Solve 58*w + 1683 = -1333 for w.
-52
Solve 0 = -966*i + 2603*i - 51981 - 18410 for i.
43
Solve -272*t = -904*t - 3292*t - 298224 for t.
-76
Solve 0 = -8253*w + 1248*w + 70050 for w.
10
Solve -228*d + 12426 = 3078 for d.
41
Solve -166*h + 162*h + 5337 = -228*h - 1607 for h.
-31
Solve -944*x - 9987 - 14833 + 4856 - 804 = 0 for x.
-22
Solve 2166*o + 92002 + 547497 = -3695*o - 7190*o for o.
-49
Solve -15425 = -2932*g + 4809*g - 2494*g for g.
25
Solve -566 - 673 = -260*s + 3181 for s.
17
Solve -4077976*g + 4077690*g = 29458 for g.
-103
Solve -4547*x = 158 + 504559 for x.
-111
Solve 41*t + 17 + 1386 = 160*t - 977 for t.
20
Solve 1854*i + 26*i - 390*i = -151980 for i.
-102
Solve 1164*g = 1325*g + 4761*g - 162426 for g.
33
Solve 744*u = -1296*u + 5679 - 1599 for u.
2
Solve -424*h - 471*h + 6388 = 4423 - 15935 for h.
20
Solve 0 = -84*a - 48*a + 26*a - 3816 for a.
-36
Solve -197*y = -19*y - 4272 for y.
24
Solve -12*l - 6921 + 2958 = -3543 for l.
-35
Solve 0 = -0*f - 6*f - 186 for f.
-31
Solve -264 = -10*i + 51 + 225 for i.
54
Solve 18*n = -81*n + 10*n - 178 for n.
-2
Solve 29*x - 1449 = -41*x - 36*x + 989 for x.
23
Solve -40464 + 38096 = -64*a for a.
37
Solve -2990 = 19826*v - 19941*v for v.
26
Solve 3581 + 678 = 233*p + 1098 - 4062 for p.
31
Solve 114*i + 110*i = 377*i - 125*i + 1904 for i.
-68
Solve -412*r - 1308 + 6183 = -37*r for r.
13
Solve -53706 = 3279*i + 2211*i + 17664 for i.
-13
Solve 111*s + 27923 = -95*s + 11649 for s.
-79
Solve -9167 = 1842*o + 245 - 2044 for o.
-4
Solve -295*h + 18912 = -196*h + 492*h for h.
32
Solve 153*o + 7641 = 5652 for o.
-13
Solve -6795*a + 150959 + 385846 = 0 for a.
79
Solve -675*b + 53361 + 25047 = 648*b - 355*b for b.
81
Solve 163*r = -784*r + 30931 + 2214 for r.
35
Solve 2899 = 2400*t + 9756 + 12343 for t.
-8
Solve 0 = -226*w - 5407684 + 5422148 | {
"pile_set_name": "DM Mathematics"
} |
72*m + 24
Find the first derivative of 689*l + 457*l + 851*l + 63*l**3 - 1782 - 65*l**3 wrt l.
-6*l**2 + 1997
Let w(y) = -1922*y**2 - 21*y + 1574. Let n(x) = 1921*x**2 + 28*x - 1574. Let k(b) = 3*n(b) + 4*w(b). Differentiate k(a) with respect to a.
-3850*a
Let c(f) be the first derivative of -151*f**4/12 - 183*f**2/2 + 161*f + 168. Let u(j) be the first derivative of c(j). Differentiate u(q) wrt q.
-302*q
Let i(r) = -2 + 0 - 1 + 1 - 1. Let g = 4 - 7. Let y(h) = -8*h**3 - 14. Let s(o) = g*y(o) + 12*i(o). Differentiate s(m) with respect to m.
72*m**2
Let o(m) = -1468*m**2 + 127*m + 3. Let s(r) = -r**2 + r. Let c(q) = o(q) - 5*s(q). What is the second derivative of c(n) wrt n?
-2926
Let x(q) = 5*q**4 + 25*q**3 - 15*q**2 - 25. Let d(a) = -9 + 10 + 48*a**2 - a**3 - 48*a**2. Let m(b) = 50*d(b) + 2*x(b). Find the third derivative of m(s) wrt s.
240*s
Let y(d) = -28593*d**2 + 25861*d + 72. Let s(n) = 17156*n**2 - 15516*n - 44. Let w(j) = -18*s(j) - 11*y(j). What is the second derivative of w(i) wrt i?
11430
Let i(n) be the first derivative of 91*n**6/10 + 88*n**2 + 248*n + 150. Let u(y) be the first derivative of i(y). Find the first derivative of u(f) wrt f.
1092*f**3
Differentiate 1001 - 29679*w**2 + 29439*w**2 + 174 wrt w.
-480*w
Let q = -332 - -337. Let z(u) = -65*u**3 + 189*u**2. Let r(j) = 33*j**3 - 94*j**2. Let d(n) = q*r(n) + 3*z(n). Find the third derivative of d(b) wrt b.
-180
Suppose -2*q + 35 = -7. What is the derivative of 17 + 2*g + 13*g + q*g - 55 wrt g?
36
Let v = 82 - 79. Find the third derivative of 82*o**v - 38*o**2 + 3*o**6 - 74*o**3 + 164*o**2 wrt o.
360*o**3 + 48
Let b(y) = -y**2 + 4*y + 25. Let r be b(7). What is the third derivative of 17*z**2 + 846*z**4 - 841*z**r - 62*z**2 - z**5 wrt z?
-60*z**2 + 120*z
Let f be (-6)/(-2) - (-16 - -10). Let y = -145 + 149. What is the third derivative of -9*b**2 - 10*b**2 + 13*b**y - f*b**2 wrt b?
312*b
Let v(z) be the third derivative of 3013*z**6/120 + 825*z**4/8 - 3386*z**2. Find the second derivative of v(u) wrt u.
18078*u
What is the first derivative of -19715355*m - 3138 - 2800*m**4 + 19715355*m wrt m?
-11200*m**3
Let v(w) be the second derivative of -5363*w**4/12 + w**3/6 - 2278*w**2 - w + 2534. Find the first derivative of v(m) wrt m.
-10726*m + 1
Let z(s) be the first derivative of -649*s**6/2 + 577*s**2/2 + 1777. What is the second derivative of z(i) wrt i?
-38940*i**3
What is the third derivative of 3*b**4 + 2558*b**2 - 731*b**2 + 9*b**6 + 3*b**5 + 6*b**3 - 3*b**4 - 2*b + 3*b**5 wrt b?
1080*b**3 + 360*b**2 + 36
Find the first derivative of -45942*q**2 - 3*q - 89 + 45958*q**2 - 961 wrt q.
32*q - 3
What is the third derivative of 56*t**2 + 747*t**2 - 2*t + 451*t**6 + 96*t**4 - 96*t**4 - t**5 wrt t?
54120*t**3 - 60*t**2
Let b(j) = -22*j - 82. Let o be b(-6). Differentiate -51*n - 27 - 34*n - o wrt n.
-85
Let r(j) be the second derivative of -3 + 0*j**2 + 3/4*j**4 + 36*j + 11/4*j**5 + 1/3*j**3. What is the third derivative of r(v) wrt v?
330
Let z(u) = -92640*u - 44214. Let c(t) = -7137*t - 3401. Let q(b) = -27*c(b) + 2*z(b). Differentiate q(w) wrt w.
7419
Let p(y) be the second derivative of -y**4/3 + 652*y**3/3 + 2321*y**2/2 + y - 442. Differentiate p(n) wrt n.
-8*n + 1304
Let k(a) be the second derivative of 0*a**6 + 0*a**2 - 37 + 0*a**3 - 23/21*a**7 + 0*a**5 + 3*a - 45/4*a**4. What is the third derivative of k(t) wrt t?
-2760*t**2
Let l(b) = 4*b**4 - 20*b**2 + 204*b + 96. Let j(n) = 8*n**4 - 36*n**2 + 407*n + 193. Let p(q) = 5*j(q) - 9*l(q). Find the first derivative of p(s) wrt s.
16*s**3 + 199
Let m(h) = h**2 + h - 1. Let q(l) = 4*l**2 - 31. Suppose -3*x + 2*o = -3, -5*x = -3*o - o - 5. Let y(d) = x*q(d) - 3*m(d). Differentiate y(f) wrt f.
2*f - 3
Let d(i) be the third derivative of -1865*i**8/336 + 381*i**5/20 - 1326*i**2. What is the third derivative of d(l) wrt l?
-111900*l**2
Let s(t) = -7*t - 103. Let y be s(-15). Find the third derivative of -48*k + y - 1481*k**6 - 2*k**2 + 1688*k**6 - 2 wrt k.
24840*k**3
Find the second derivative of -1328*t**5 + 110 + 29*t + 52 - 29 - 16*t wrt t.
-26560*t**3
What is the third derivative of -1990*x + 990*x + 22*x**4 + 1000*x + 5012*x**2 + 26*x**5 + 202*x**2 + 2*x**3 wrt x?
1560*x**2 + 528*x + 12
Let r(v) = -v**4 - v**2 - 5*v - 1. Let s(m) = -313*m**4 - 6*m**2 - 589*m - 9. Let z(y) = 6*r(y) - s(y). What is the second derivative of z(x) wrt x?
3684*x**2
Let y(i) be the first derivative of -1/3*i**6 + 0*i**4 + i**3 + 0*i + 159 - 7/2*i**2 + 9/5*i**5. What is the third derivative of y(t) wrt t?
-120*t**2 + 216*t
Let q = -6 + 12. Suppose 7*o = q*o + 5. What is the second derivative of o*j - 4*j + 2*j**4 - 16*j wrt j?
24*j**2
What is the first derivative of -802 + 63 - 512*x**2 - 125 + 134*x - 71*x - 66*x wrt x?
-1024*x - 3
Let m(j) be the second derivative of 53*j**8/28 + j**7/42 + 2*j**6/15 + 4943*j**4/4 + 8975*j. Find the third derivative of m(s) wrt s.
12720*s**3 + 60*s**2 + 96*s
Let g(m) = 33*m**2 - 210*m - 6. Let b(c) = -c**2 + c - 1. Let f = -527 - -521. Let j(t) = f*b(t) + g(t). What is the second derivative of j(p) wrt p?
78
Let y(m) be the second derivative of 434*m**6/15 - 3829*m**4/12 - 3950*m. What is the third derivative of y(f) wrt f?
20832*f
Let c(i) = 3031*i**2 - 17*i - 39. Let m(v) = -6071*v**2 + 31*v + 77. Let p(n) = 5*c(n) + 2*m(n). What is the second derivative of p(a) wrt a?
6026
Let d(x) be the second derivative of x**6/15 + 1511*x**5/10 - 895*x**4 - 985*x. What is the third derivative of d(r) wrt r?
48*r + 18132
Let a(d) be the third derivative of 17*d**6/120 + 23*d**5/60 - 621*d**3/2 + 41*d**2 - 2. Differentiate a(h) wrt h.
51*h**2 + 46*h
Let c be (-3)/12 + -2*(-2)/16. Suppose c = 2*i - 32 - 0. What is the third derivative of i + 44 - 6*w**6 + 0*w**2 + w**2 - 15 wrt w?
-720*w**3
Let i(a) be the first derivative of -174*a**4 + 2600*a + 2505. Differentiate i(l) wrt l.
-2088*l**2
Let m be (1 - -2)/((-9)/45). Let w be m/25 + 4186/10 + 2. Differentiate -7 - 24*u**2 + w*u - 420*u wrt u.
-48*u
Let q(m) be the first derivative of -61*m**4/12 + 37*m**3/6 - 17*m + 1. Let f(z) be the first derivative of q(z). What is the second derivative of f(x) wrt x?
-122
Let k(p) be the second derivative of -169*p**6/2 - 605*p**3/6 + 8952*p. What is the second derivative of k(v) wrt v?
-30420*v**2
Let c(s) = -23*s - 60. Let a be c(-4). What is the first derivative of -35 - 21*i**3 - 6*i**3 - 19 - a*i**3 wrt i?
-177*i**2
Differentiate 305 + 317400*m**4 + 1221 - 298 - 312254*m**4 + 1522 wrt m.
20584*m**3
Suppose 251*h = 243*h + 128. Differentiate h*p - 1 + 199 - 2*p**3 + 45 - 4*p with respect to p.
-6*p**2 + 12
Suppose 5*w = 4*j - 6388, -j + 5*w - 9*w = -1618. Find the third derivative of -53*v**3 + 1596*v**2 - 110*v**3 + 3*v - 6*v - j*v**2 wrt v.
-978
Let o(r) = 17*r - 75. Let n be o(8). What is the derivative of 184*b**2 + 147*b**2 - n*b**2 - 54*b**2 + 206 wrt b?
432*b
Let c(z) = -209*z**2 - 466. Let f(v) = 699 + 101074*v - 101074*v + 313*v**2. Let j(a) = -7*c(a) - 5*f(a). Find the first derivative of j(q) wrt q.
-204*q
Let m = -893 + 2686/3. Let f(s) be the third derivative of -10*s**2 + 0*s**4 + 0*s - m*s**3 + 0 + 3/10*s**5. What is the first derivative of f(j) wrt j?
36*j
Suppose 0 = 5*h - 0 - 5. Let x = h + 2. Find the third derivative of z**3 + 56*z + x*z**2 - 56*z wrt z.
6
What is the third derivative of -1130*q**3 - 25086 - 1275*q**2 - 25082 + 50168 wrt q?
-6780
Let s(f) be the third derivative of 2347*f**8/336 - f**5/60 + 113*f**3/2 - 181*f**2 - 3*f. What is the third derivative of s(a) wrt a?
140820*a**2
Let r(v) be the first derivative of -24/5*v**5 + 0*v**4 + 0*v**2 - 1 + 4/3*v**3 - 12*v. What is the derivative of r(u) wrt u?
-96*u**3 + 8*u
Let t(l) be the second derivative of 7/30*l**6 + 0*l**4 + 288*l - 83*l**2 + 0*l**5 + 0*l**3 + 0. What is the first derivative of t(c) wrt c?
28*c**3
Let i(p) be the second derivative of 788*p**5/5 - 31*p**3/2 + 2*p**2 + 309*p. What is the second derivative of i(n) wrt n?
18912*n
Let r = 28 + -22. Let w(c) be the third derivative of 0*c**5 + 1/3*c**4 + 1/30*c**r + 0*c + 0 + 0*c**3 + 11*c**2. Find the second derivative of w(t) wrt t.
24*t
Let k(n) = 2*n**2 - 18*n - 14. Let a be k(10). Find the third derivative of -30*y**3 - y**2 + a + 5 - 21*y**3 + 0*y**2 wrt y.
-306
Suppose 0 = -3*c - 3*z + 4*z | {
"pile_set_name": "DM Mathematics"
} |
5). Suppose -q*b - 4*h = -0*b - 16, 0 = 3*h - 12. Is b greater than 3/5?
False
Let x = -33 - -30. Is x at least as big as -4?
True
Let b(h) = h**3 + 6*h**2 + h - 3. Let v be b(-3). Let p = v - 30. Are -9 and p nonequal?
False
Let r be (-2)/(-54)*(4 + 11). Which is smaller: 0 or r?
0
Let a = -47 + 233/5. Let m = 3 + 5. Suppose -2*l - 2*s - m = -4*s, -8 = -3*l - 2*s. Which is bigger: l or a?
l
Let p = 11 + -11. Is p < 2?
True
Let k(l) = l**2 + 2*l - 1. Let g be k(-3). Suppose -4*p - 10 - g = 5*u, 2*p + 6 = -2*u. Let a(x) = -x**2 - 3*x - 2. Let b be a(-2). Are b and u nonequal?
False
Let v = -0.28 + 0.13. Let y = v - -0.35. Let g(b) = -b**2 + 2*b + 2. Let o be g(2). Is o at least as big as y?
True
Suppose -4*a + 20 = 4*j, 3 = -4*a + 4*j + 15. Suppose 14 + 11 = -5*u. Let d = a + u. Which is smaller: 0 or d?
d
Let x = 1 - 1.3. Let a = 1 - 3. Let h = a - -4. Which is smaller: x or h?
x
Suppose 4*q + 13 - 1 = 0. Let n(i) = -i**2 - 4*i - 2. Let t be n(q). Are 2 and t equal?
False
Let o be (-40)/(-30) + (0 - 1). Let r = -3.92 + -0.08. Is r greater than o?
False
Suppose 1 - 19 = -3*k. Let y be 1/(k/4)*3. Is y greater than -1?
True
Suppose 30 = q - 4*q. Let f be (-2)/5 + (-6)/q. Is -1/2 > f?
False
Suppose -4*b = -3*d + 5*d + 16, 6 = b - 2*d. Suppose s = -s - 4. Is b greater than or equal to s?
True
Let h = 53 - 53. Which is smaller: -2/47 or h?
-2/47
Let u = -0.3 - -0.3. Let d = u + -0.1. Let x = d - -0.2. Which is bigger: x or -0.3?
x
Let q = -8 - -2. Let x = q + 5. Is x equal to -0.1?
False
Let v = -0.2 - 0. Let s = 4 - 1. Which is smaller: v or s?
v
Let v = 6695 - 515505/77. Let t = 8/11 + v. Let h = t + -11/21. Is h bigger than -1?
True
Let o be 2/(19/5 + -3). Let v = 3 - o. Let q be (-1)/(-4) - (-14)/8. Which is bigger: v or q?
q
Suppose -p = -6*p - 90. Let k be p/14 - (-6)/6. Which is smaller: -0.01 or k?
k
Let f(s) be the first derivative of -s**2/2 - s - 12. Suppose 5 = -4*k - k. Let q be f(k). Is -1/12 at least as big as q?
False
Suppose -2*i + 6 - 4 = -2*w, 0 = 3*i - 2*w - 2. Suppose -3*s = 4*g - 4 - i, 0 = 4*g + 20. Let q be 6/s - (-168)/32. Which is bigger: 5 or q?
q
Suppose 4*n = -12 - 0. Let l be 1/n*0 - -2. Which is smaller: 1 or l?
1
Suppose -k + 36 = -0*k. Let t be k/20 + -2 + 0. Suppose 0 = 5*o - m, 2*m = -2*m. Is o greater than t?
True
Let s(z) = 5*z - 4. Let o be s(6). Suppose 0 = -3*w + h - 8, w = -0*w + 5*h - o. Which is bigger: -2/3 or w?
-2/3
Let s = -235/4 - -59. Is s <= -0.03?
False
Suppose -3 - 1 = -2*w. Suppose -2*s = w - 10. Suppose 2*l + 0*l = s. Is l at most -2?
False
Let v = 13 + -10. Suppose 0 = 2*z + v*z. Let i = -111 - -553/5. Which is smaller: z or i?
i
Suppose 11 = 2*g + 1. Suppose -39 = -g*w - 14. Suppose -w - 1 = -2*i. Which is smaller: 4 or i?
i
Let q = 6 - 0. Let x = 6 - q. Let p = 2 + x. Which is smaller: 0 or p?
0
Let q(n) = -n**2 + n + 5. Let u be q(0). Suppose 0 = -u*c + 3*c. Let z = 6/29 - 134/87. Is c bigger than z?
True
Suppose 0 = -y - z + 2, -7 = -4*y - 4*z + z. Which is bigger: 0 or y?
y
Suppose 15 = 4*q - w - 2*w, -4*q = 4*w - 8. Let d = 4 - 0. Suppose -6 = 5*x - d*j, 2*x + 3*j - 16 + 0 = 0. Is x at least as big as q?
False
Let p(q) = 2*q**2 + 5*q + 4. Let g be p(-2). Which is smaller: g or 1?
1
Let u(w) = w**2 - 9*w + 6. Let l be u(7). Let y = -6 - l. Suppose 0 = 2*d - 6*d + 16. Are d and y equal?
False
Let g be (15 + -18)*(-2)/250. Are g and 0 equal?
False
Let q be 10/3 - 1/3. Let c be 2/4 - (-301)/14. Let o be (2/3)/(c/99). Is q not equal to o?
False
Let s = -7 - -5. Let v be (-21)/(-7)*s/(-3). Is v bigger than 2?
False
Suppose -n - 4*s = 12, 3*n - 2*s + 82 = -2*n. Let u = -74 - -58. Is u >= n?
True
Let o = -18 - -28. Suppose -5 = r - 2*r. Suppose o = -2*j - 0*j - 2*v, -r*j = -2*v - 3. Which is bigger: -4/13 or j?
-4/13
Let m = 25 + -25. Which is greater: -7/5 or m?
m
Suppose 0 = -4*w + 5 - 17. Let j = 7 + w. Which is smaller: 3 or j?
3
Let x be 2/(-14) - 15*10/(-315). Is x at least -0.06?
True
Suppose 0 = -5*c + 3*v + 79, 2*v + 59 = 4*c + v. Let q be 1/2 + (-11)/c. Is q less than or equal to -1?
False
Suppose -5*h + 2*h - 6 = 0. Let b = 2.2 - 2. Let m = -0.3 + b. Are h and m nonequal?
True
Let d(v) = v**3 + 3*v**2 - 3*v + 1. Let b be d(-4). Let c = 2 + b. Which is greater: 1/4 or c?
1/4
Let i = -18 + 13. Let b(w) be the third derivative of -w**5/60 - 7*w**4/24 - w**3 - w**2. Let g be b(i). Which is greater: 5 or g?
5
Let d(a) = -5*a - 4. Let t(o) = -11*o - 9. Let z(j) = 9*d(j) - 4*t(j). Let s be z(-4). Which is smaller: s or 5?
s
Let f be -4 + 86/(-4)*4. Which is smaller: f or -89?
f
Let n = 120/7 - 17. Is 1 != n?
True
Let i = 33 - 33. Which is smaller: i or -4/3?
-4/3
Let h = 0.41 + -0.51. Is 32 smaller than h?
False
Let x = 1.7 - -0.3. Let y = -2 + 3. Is y smaller than x?
True
Let j = 35.7 - 32. Let x = -0.41 + -3.59. Let n = x + j. Is n at most as big as 0?
True
Suppose 5*q + 18 = 13. Is 1/5 >= q?
True
Let g be 1*1/5 + -2. Suppose 5*b + b + 18 = 0. Which is greater: b or g?
g
Let t = -63 - -64. Which is smaller: 2/33 or t?
2/33
Let h = -0.2 - 0.2. Let j = -0.4 - h. Which is bigger: 0.3 or j?
0.3
Let c(t) = 2*t**3 - 2*t**2 + 2*t + 3. Let b be c(-1). Is b less than -1?
True
Let s = -3/3839 - 203440/34551. Let q = 418/69 + -9/23. Let k = s + q. Which is smaller: k or 1?
k
Let w(p) = p - 3. Let h be w(3). Let o = h - -2. Which is smaller: o or 0?
0
Let l(i) = i**3 + 7*i**2 - 9*i + 2. Let s be l(-8). Is s equal to 9?
False
Suppose -2*j + 2 = -2. Suppose j*v = -0*v. Let i be 0/(-4) + 12/10. Which is bigger: v or i?
i
Let x(v) = v**2 - 4. Let m be x(-3). Suppose -m*n - 3*l = 4, -4*n - 3 = -2*l - 13. Let d = n - -2. Are 3 and d nonequal?
False
Let s be (-4)/(-10) - (-64)/(-10). Suppose 2*w = -7 + 3. Let u be 0/(s/(w + 4)). Which is greater: u or -2/7?
u
Suppose 0*w - w = 0. Suppose 14 = -w*f + f. Let t be (-10)/f - -2 - 1. Which is smaller: 1 or t?
t
Suppose 6*f + 5*k - 110 = 3*f, 2*f - 76 = -2*k. Which is smaller: f or 39?
39
Let y = -0.2 + -0.8. Let m = 38 - 40.1. Let j = -1.1 - m. Which is smaller: y or j?
y
Let z = 136 + -135. Is 2/509 equal to z?
False
Suppose -2*k + 4*a + 12 = 3*k, 5*a = -5*k + 30. Which is smaller: 3 or k?
3
Suppose 4*k = 3*c + 21, -5*k + 15 + 0 = 0. Let r = -3 + 8. Suppose r - 1 = -4*o - 2*g, 6 = -o + 2*g. Which is smaller: o or c?
c
Suppose 2*s + 4 = -0*s. Let x be s*(-6)/8 + -2. Which is bigger: x or -2?
x
Let o = 72 - 72. Let w(m) = m**3 - 6*m**2 - 2*m + 9. Let k be w(6). Which is greater: o or k?
o
Let c be (4/5)/((-1001)/(-55)). Which is greater: c or 0?
c
Let s(m) = -m**3 + 4*m**2 - 1. Let t be s(4). Which is smaller: 0 or t?
t
Let u be 5 - 3 - 1*-2. Suppose 4*z - 3*f - 3 - 2 = 0, 0 = 4*z - 5*f - 3. Let m = z - -3. Does u = m?
False
Let h = 5.1 + 0.9. Which is smaller: 1 or h?
1
Suppose -6 = -5*g - 1. Let j be (g/(-6))/(3/6). Let w be 3/(-9)*(-9)/6. Which is bigger: w or j?
w
Let m = 7125 - 2116123/297. Does 1 = m?
False
Suppose 3 = 3*k - 3. Let v be (k*2/4)/2. Which is greater: 1 or v?
1
Suppose -j + 32 = 5*k, 5*k = 2*j + 4*k - 20. Does j = 12?
True
Let t = 46 - -8. Let j = t - 54.21. Let r = j - 0.09. Do 2 and r have the same value?
False
Suppose -2*r = 7 + 13. Which is smaller: r or -8?
r
Let g(i) = i**3 - 2*i**2 - 5*i + 4. Let t be g(3). Let j = -2 - t. Let b = -83/14 + 11/2. Which is smaller: b or j?
b
Let y = -2.3 + 2. Let g(z) = -3*z**2 - 3*z - 2*z + 8 + 2*z**2 - 3*z. Let b be g(-9). Is b < y?
True
Let j = -1.3 + 0.3. Let v = -2.36 + 0.06. Let x = 2.7 + v. Which is smaller: x or j?
j
Let s(p) be the second derivative of p**3/6 - 3*p**2/2 - p. Let w be s(3). Do 2/9 and w have different values?
True
Let u be (-4)/15 + 2/(-5). Let r = -13 - -9. Which is greater: u or r?
u
Suppose 0 = 6*o - o - 15. Suppose -o*i - 6 = -i. Which is smaller: i or -2?
i
Let w be (2*-1)/((-6)/12). Suppose -b + 25 = w*b. Suppose -b*p + j = 9, 0 = 3*p - 7*j + 3*j + 2. Which is smaller: -1 or p?
p
Let l = -271094573402696/6715 + 40371492614. Let w = l - -18/1343. Let t = 74 + w. Which is smaller: -3 or t?
-3
Let b = 25 - 19. Is b less than or equal to 24/5?
False
Let d = 2/4309 + 30007/336102. Let m = 2/39 - d. Is m != 1?
True
Let k be (6/(2/2))/((-4)/8). Is -98/9 greater than or equal to k?
True
Let y be 87*3/((-66)/4). Let q = -2588/165 - y. Is 0 at least as big as q?
False
Let o = 1 + -1 | {
"pile_set_name": "DM Mathematics"
} |
r of 1 and s.
1
Let v = 30 + -24. Suppose 3*o = -h + 28, -o - 4 = -v. What is the greatest common divisor of 55 and h?
11
Let m be 1 - 206/(-6) - (-20)/(-60). Let o(i) = i + 7. Let v be o(0). Calculate the greatest common divisor of m and v.
7
Let p = 883 - 663. Calculate the highest common divisor of p and 352.
44
Let y = 65 + -62. Suppose -i - y*s + 20 = 0, 3*s + 10 + 40 = 4*i. Calculate the highest common divisor of 42 and i.
14
Let c(w) = 2*w**3 - 28*w**2 + 44*w + 9. Let m be c(13). Calculate the highest common factor of 3 and m.
3
Suppose 19*c - 30*c + 308 = 0. Let z(k) = k**2 + 3*k - 14. Let w be z(11). Calculate the greatest common factor of w and c.
28
Suppose 0 = j + 3*v - 8, 0*j + 5*v = j. Let g(h) = 24*h + 12. Let m be g(j). Calculate the highest common factor of m and 12.
12
Let v = 1 - 2. Let i be 15*5 + v + 3. Let c be 14/(-12)*(-92 + 86). What is the greatest common divisor of c and i?
7
Suppose 3*s = 53 + 10. What is the highest common factor of 3 and s?
3
Let a = 30 + -24. Let k = a - -3. Suppose -5*o + 3*o = -72. Calculate the greatest common factor of o and k.
9
Suppose -149 - 136 = -5*n. Suppose 2*m = -2*l - m + 16, 5*l = 5*m + 15. Let r be l/(-2)*(-836)/110. What is the highest common divisor of r and n?
19
Suppose -3*o - 17 = 16. Let c = 10 + o. Let a be (c - 0)/(7/(-735)). What is the highest common factor of 42 and a?
21
Let v = 199 - 160. What is the highest common factor of 39 and v?
39
Let d = -193 + 221. What is the highest common factor of 28 and d?
28
Let x = -85 - -157. Suppose -4*j = 4*s + 96, -s + 6*s = 3*j + x. Let v be ((-6)/(-9) + -2)*j. Calculate the highest common divisor of 4 and v.
4
Suppose 0 = 85*l - 83*l - 390. What is the highest common factor of l and 60?
15
Let f = -10 - -10. Suppose y + 4*y - 335 = f. Suppose -z = -5*p - 30, -3*p + y = 3*z + 13. What is the greatest common divisor of z and 60?
20
Let i(g) = g**3 - 9*g**2 + 3*g - 6. Let w be i(9). Let v be (-3 + (-120)/9)*w. Let q be (v/28)/((-1)/4). Calculate the highest common divisor of q and 7.
7
Suppose 188 = 5*p + 2*l, -5*p + 195 = -2*l - 3*l. Let y be (0 + p/(-4))*-2. Calculate the greatest common factor of 152 and y.
19
Suppose 2*d - n - 45 = 4*n, -4*n + 56 = 3*d. Suppose 0 = g + g - d. Suppose -5*t = 3*q - g, 8 = 2*q - t - 3. What is the greatest common factor of 25 and q?
5
Let o = 2 - -14. Let j(i) = i + 56. Let g be j(24). Calculate the greatest common factor of g and o.
16
Suppose -11*p = -8*p. Suppose p*y - 3*y = m - 11, 0 = 2*y - 3*m. Calculate the greatest common factor of y and 15.
3
Suppose 149*t - 125*t = 20088. Calculate the highest common divisor of t and 9.
9
Suppose 0 = -3*v - 393 + 414. Let b be ((-4)/8)/(4/(-336)). Calculate the greatest common factor of b and v.
7
Suppose 35*b - 944 = -24*b. What is the greatest common factor of b and 1?
1
Let v = -156 - -256. Suppose 0 = -3*c - 24 + 84. What is the greatest common divisor of c and v?
20
Let j be (-454)/(-3) + 2/3. Suppose 0 = h - j + 6. Suppose 690 = 4*y - h. Calculate the greatest common divisor of y and 19.
19
Suppose -26*u + 665 = 9*u. What is the greatest common divisor of 893 and u?
19
Let x be (6/(-5))/(30/(-2475)). Suppose -c + 6*a - 2*a = -8, -7 = -c + 5*a. Let l = c - 1. What is the greatest common divisor of x and l?
11
Let q(h) = -h**2 + 19*h - 9. Let w be q(18). Let i be 4/10 - (-86)/10. What is the greatest common factor of w and i?
9
Let r be 10 + 2 - (3 + -5). Let f = 23 - -61. Suppose 13*h + f = 15*h. What is the highest common divisor of h and r?
14
Let r(o) = -4*o + 56. Let h be r(17). Let s be (8/12)/((-1)/h). What is the greatest common factor of 136 and s?
8
Suppose 5*x - 23 = 2*x - 4*r, 0 = -5*x - 2*r + 29. Let p(u) = u**2 - 9*u + 10. Let m be p(x). Let z = m + 16. Calculate the highest common factor of z and 2.
2
Let p(s) = -6*s - 66. Suppose 4*f - 11*f - 98 = 0. Let t be p(f). What is the highest common divisor of 12 and t?
6
Let i be -184*(-2 - (-1)/1). Suppose 0 = -4*q + 3*t + 104, -q + 10 + 9 = t. What is the highest common divisor of q and i?
23
Let z(u) = -u**2 + 5*u - 2. Let m be z(3). Let p(h) = -h + 13. Let v be p(8). Suppose 137 = v*a - 83. Calculate the highest common divisor of m and a.
4
Let r be 1/(5/(-10)) - (-9 + 2). Suppose -r*k - 3*k = -160. Calculate the greatest common factor of 5 and k.
5
Suppose -663 = -20*m + 1857. Suppose 3*p - 4*p = -18. What is the highest common factor of p and m?
18
Suppose -12*p + 318 = 246. What is the highest common divisor of p and 174?
6
Let z(x) = 4*x**2 + 10*x + 6. Let n be z(-5). Suppose 0 = 4*b + 4*q - 24, 21*b - 17*b + 3*q = 25. Calculate the greatest common divisor of b and n.
7
Suppose m + 3*m - 8 = 4*b, 0 = -2*m - 3*b + 14. Suppose -m*r = -0*r - 100. Calculate the greatest common divisor of r and 5.
5
Suppose 4*a = 3*h + 5316, -3*a + 0*h + 2*h + 3988 = 0. What is the greatest common divisor of 72 and a?
36
Let t(z) = 124*z**2 + 10*z + 3. Let l be t(-1). Calculate the greatest common divisor of l and 27.
9
Let h be 306/(-1 + 0)*(-21)/42. What is the greatest common factor of h and 9?
9
Let h = 112 - 67. What is the greatest common divisor of 210 and h?
15
Let y(p) = p + 1. Let w be y(5). Let c be 85/(-255) - 38/(-9)*18/12. Calculate the greatest common factor of w and c.
6
Let r = 2129 - 2091. Calculate the highest common divisor of 46 and r.
2
Suppose -45 - 23 = -4*p. Let r(c) = -c**3 - c**2 - c + 3. Let t be r(0). Let o be 6/(-3) + t*63. What is the greatest common divisor of o and p?
17
Let k = 376 + -316. Calculate the highest common divisor of k and 48.
12
Let j(y) = -y**2 - 6*y + 2. Let b be j(-9). Let o = b + 29. Suppose 2*t = -5*f + 7*t + 30, -3*f + 16 = -4*t. Calculate the greatest common factor of o and f.
4
Let q(g) = -184*g + 2. Let r be q(2). Let z = -177 - r. Calculate the greatest common factor of 21 and z.
21
Suppose 6440 = b + 27*b. Calculate the greatest common factor of b and 10.
10
Let t = 1 - -19. Let u(b) = -2*b - 8. Let r be u(-8). Let k = 12 - r. What is the greatest common factor of t and k?
4
Let b be 4/(-14) + (-1329)/(-21). Let a be (-82)/(-1312) - 6*111/(-96). What is the highest common divisor of a and b?
7
Let t be 20/(-6) + 3 - (-363)/9. What is the highest common factor of 100 and t?
20
Suppose m + 5*b = 88, -3*m - 3*b + 303 = -b. Let r = -70 + m. What is the highest common divisor of 297 and r?
33
Let t = 85 - 98. Let r(n) = -n**2 - 15*n + 6. Let g be r(t). Suppose 0 = 5*f - s - 158, 39 - 13 = f - 3*s. What is the highest common divisor of f and g?
32
Let f(t) = t - 4. Let v be f(5). Let c be 14/5 - 4/(-20). Let x = c + v. Calculate the greatest common divisor of 4 and x.
4
Let k = 383 + -351. Let q be 3/2*640/6. What is the highest common divisor of q and k?
32
Let g = -607 + 587. Let f be (1 + -2)*42/3. Let m = f - g. Calculate the highest common factor of 2 and m.
2
Let o be (-1 + 28)/(6*(-1)/(-12)). Let q(a) = -6*a. Let j be q(-3). What is the highest common factor of o and j?
18
Suppose -t - 20 = -3*g, -5*g - 3*t + 5 = t. Suppose g*c = -2*z + 29, -3*z - c + 16 = -2*z. Calculate the highest common divisor of 153 and z.
17
Suppose -k - 26 + 43 = 0. Calculate the highest common divisor of 459 and k.
17
Let u(p) = -p**2 - 21*p - 35. Let t be u(-21). Let o be 40 - (20/t - 24/7). Calculate the greatest common factor of 110 and o.
22
Suppose 0 = -f - 62 + 65, -5*f + 168 = x. Calculate the greatest common divisor of 17 and x.
17
Let v be -4 - 120/(-28) - (-655)/35. What is the greatest common factor of 665 and v?
19
Let d(o) = 2*o**2 - 42*o - 130. Let m be d(-3). What is the highest common factor of m and 742?
14
Let i(u) = 850*u + 10. Let v be i(1). What is the greatest common divisor of 20 and v?
20
Suppose 81*u - 78*u - 108 = 0. Calculate the highest common divisor of 72 and u.
36
Let s(g) = -g - 7. Let b be s(-7). Suppose 57 + 55 = 4*m - 2*j, b = -4*m - 4*j + 112. Suppose -5*d + 103 = m. What is the greatest common divisor of d and 30?
15
Suppose 88 = -21*z + 23*z. Suppose -f + 3*f = z. What is the greatest common divisor of f and 11?
11
Suppose 0*l - 16 = -2*m + 5*l, -l - 5 = -m. Suppose 0 = -14*v + 143 + 25. Suppose 19*z - 21*z = -v. Calculate the highest common factor of m and z.
3
Suppose 3*z + 5*p + 129 = 2*z, 8 = 2*p. Let r be z/(-3) - 1/(-3). Let | {
"pile_set_name": "DM Mathematics"
} |
) = y**2 - 28*y + 1. Let c(k) = 3*a(k) - p(k). Calculate o(c(w)).
-132*w**2 + 264*w
Let b(w) be the first derivative of -1/3*w**3 + 63 + 0*w + 0*w**2. Let f(l) = 0*l - 2*l - 3*l. Give b(f(c)).
-25*c**2
Let d(s) be the third derivative of -s**5/20 - s**2. Let p(h) = -40*h + 80*h + 5*h - 22*h**2 - 45*h. What is d(p(r))?
-1452*r**4
Let n(r) be the third derivative of -r**4/12 + 192*r**2. Let t(f) = -28*f + 42. Let i(l) = -l + 1. Let u(k) = 42*i(k) - t(k). Determine n(u(v)).
28*v
Let f(m) = -m**2. Let k(r) = -3*r - 9. Let g be k(-11). Let d be 6/g*-4 - (-4 - -1). Let x(h) = 10 + 0*h**d - 16 - 12 - 2*h**2. Determine f(x(u)).
-4*u**4 - 72*u**2 - 324
Let w(i) be the third derivative of 35*i**4/24 + 2*i**2. Let p(n) be the second derivative of -n**3/3 - 10582*n - 1. Calculate p(w(o)).
-70*o
Let c(t) = 297*t**2 - 7*t + 186. Let x(i) = 2*i. Calculate c(x(p)).
1188*p**2 - 14*p + 186
Let x(a) = -2*a + 1. Let i(c) = -7125*c + 19. Give i(x(s)).
14250*s - 7106
Let g(w) = 2*w**2. Let i(c) be the third derivative of -c**5/30 + c**4/8 + 15*c**2 - 25*c. Calculate i(g(l)).
-8*l**4 + 6*l**2
Let l(a) = 38*a. Let k(x) = -4*x**2 - 77*x - 15. Let t be k(-19). Let r(d) = -4424 - t*d**2 + 4424. What is l(r(v))?
-152*v**2
Let t(l) = -639*l**2 + 1274*l**2 - 636*l**2. Let o(c) = -4*c + 21. Let x(f) = -5*f + 23. Let m(a) = -4*o(a) + 3*x(a). Give m(t(h)).
-h**2 - 15
Let d(t) = 6*t - 17503. Let q(i) = -1491*i. Determine q(d(f)).
-8946*f + 26096973
Let c(b) = b. Let s = 29 + -27. Let x(u) = -1 + 10 - s*u**2 + 0 - 3. Let l(v) = -2*v**2 + 7. Let h(t) = -6*l(t) + 7*x(t). Give c(h(k)).
-2*k**2
Let v(m) be the third derivative of m**4/6 + 146*m**2 - 2*m - 2. Let q(u) = 302*u**2. Give q(v(t)).
4832*t**2
Let g(l) = -432*l - 42653. Let v(a) = 2*a. Determine g(v(t)).
-864*t - 42653
Let d(p) = -6*p**2 + 14*p - 10. Let j(o) = 14*o**2 - 35*o + 25. Let i(n) = -5*d(n) - 2*j(n). Let b(k) = 27*k + 2. What is b(i(y))?
54*y**2 + 2
Let q(k) = -k. Let z(g) = 8354981*g. Calculate q(z(r)).
-8354981*r
Let h(a) = 3053 - 1531 - 1521 + a. Let t(n) = -5*n + 2*n**2 - 5 + 3*n**2 + n**2. Let d(i) = -10*h(i) - 2*t(i). Let s(g) = -2*g. Give s(d(l)).
24*l**2
Let v(i) = -32*i. Let a(c) = 2 + 35*c**2 - 6 - 13*c**2 - 7*c**2 - 21*c**2. Calculate v(a(y)).
192*y**2 + 128
Let n(l) = 7021*l**2. Let m(y) = 101*y - 12. Calculate m(n(k)).
709121*k**2 - 12
Let u(v) = 7*v**2 - 59*v. Let c(x) be the second derivative of -x**4/6 - 3*x - 1974. Determine u(c(p)).
28*p**4 + 118*p**2
Let a(t) = 5*t**2. Let l(s) = -79209816*s**2. Give l(a(z)).
-1980245400*z**4
Let u(t) = 24*t**2. Let f = -33 - -39. Let g be (-2)/3 + 22/f. Let r(d) = 2*d + g*d - 3*d. What is r(u(c))?
48*c**2
Let c(x) = 3*x**2 + 7304212*x. Let b(j) = 4*j. Determine b(c(l)).
12*l**2 + 29216848*l
Let o(y) = -y - 213. Let c(g) = 430*g. Give o(c(x)).
-430*x - 213
Let z(k) be the first derivative of k**2/2 + 173. Let i(r) = -2*r**2 + 50. Calculate i(z(b)).
-2*b**2 + 50
Let b(y) = 50*y + 46*y - 143*y + 48*y. Let l(n) be the first derivative of -19*n**2 - n - 151. What is b(l(i))?
-38*i - 1
Suppose -6439 = -6*y + 10895. Let c(a) = -2889 - a + y - a. Let n(m) = 0*m**2 + 5*m**2 + 2*m**2. Determine n(c(u)).
28*u**2
Let p(l) = -169*l + 1. Let f(s) = 12. Let h(j) = 2*j - 72. Let r(x) = -6*f(x) - h(x). What is r(p(n))?
338*n - 2
Let y(x) = 0*x - 3*x + 0*x. Let z = 332 + -304. Let b(c) = 7*c + 11 + 17 - z. Give b(y(q)).
-21*q
Let y(o) = 13*o. Suppose 2*g - s - 2*s = 113, s = -g + 44. Let q(m) = m + 6. Let b(u) = 7*u + 49. Let v(l) = g*q(l) - 6*b(l). What is y(v(r))?
91*r
Let h(s) = 3*s. Let l(a) = 109730478*a**2. What is h(l(q))?
329191434*q**2
Let g(o) = -61460436*o. Let i(w) = w. Calculate g(i(s)).
-61460436*s
Let i(t) = 40*t - 4. Let x(d) = -8*d + 1. Let m(h) = -3*i(h) - 12*x(h). Let y(n) = -7*n**2. Give m(y(p)).
168*p**2
Let d(r) = 15 - 51 + 11 + 712*r**2 + 26. Let y(g) = 2*g. Determine y(d(c)).
1424*c**2 + 2
Let c(a) = -3*a + 9*a - a + a. Let h = -32 + 35. Let p(r) = 1520*r + h*r**2 - 1520*r. Calculate c(p(b)).
18*b**2
Let f(k) be the first derivative of -k**3/3 + 3729. Let p(t) = -109*t. Let z(x) = -27*x. Let s(a) = 2*p(a) - 9*z(a). Give s(f(r)).
-25*r**2
Let n(u) = -1061 - 17*u - 10*u - 26*u + 1062 - 4*u. Let k(v) = 18*v - 3. What is k(n(q))?
-1026*q + 15
Let m(y) = -72*y. Let n(v) = -2240088*v. Calculate m(n(u)).
161286336*u
Let o(c) = 3*c**2. Let b(a) = a**2 + 2*a. Let x(k) be the first derivative of 25*k**3/3 + 20*k**2 + 85. Let y(i) = 20*b(i) - x(i). Calculate o(y(l)).
75*l**4
Let s(t) = -2*t. Let c(q) be the second derivative of -65*q + 0*q**3 - 17/12*q**4 + q**2 + 0. Calculate c(s(x)).
-68*x**2 + 2
Let j(u) = -1840*u**2. Let b(h) = -156738*h**2. What is b(j(l))?
-530652172800*l**4
Let w(r) = r. Let g(i) = -i + 5. Suppose 35*s + 23 - 82 = 116. Let p(t) = -t + 4. Suppose h = 2*h + 4. Let m(o) = h*g(o) + s*p(o). Give w(m(a)).
-a
Let n(o) = -12*o**2. Let p(s) = 25*s - 89. Let y(t) = 7*t - 23. Let b(i) = -3*p(i) + 11*y(i). What is n(b(z))?
-48*z**2 - 672*z - 2352
Let z(y) = -14*y**2. Let i(b) = -16713919*b. What is i(z(s))?
233994866*s**2
Let q(g) = 2 + 41*g - 33*g - 11*g - 23*g. Let t(h) = -h. Let l = 20 + -19. Let m(z) = 3*z. Let a(r) = l*m(r) + 2*t(r). Give a(q(x)).
-26*x + 2
Let c(k) be the second derivative of 203*k**4/4 + 1064*k. Let u(o) = -o**2. Calculate u(c(i)).
-370881*i**4
Let j(s) = 6*s**2. Let l(d) be the third derivative of 0*d**3 + 0*d**4 + 2*d - 11/60*d**5 - 65*d**2 + 0. Calculate l(j(v)).
-396*v**4
Let z(y) = 6*y - 2*y - 3*y. Let h(f) be the first derivative of f**3/2 - 2*f - 10. Let b(a) be the first derivative of h(a). Give b(z(m)).
3*m
Let j(d) = 391946*d. Let n(a) = -12*a**2. Give n(j(p)).
-1843460002992*p**2
Let v(c) = -14576*c. Let f(s) = -815*s. Give v(f(t)).
11879440*t
Let z(y) = 858*y + 6. Let h(p) = -7*p**2. Give h(z(c)).
-5153148*c**2 - 72072*c - 252
Let g(p) = -2*p. Let u(c) be the first derivative of 97*c**2 - 18960 + 19148 + 4*c**2 + 4*c**2. Determine g(u(f)).
-420*f
Let i(z) be the third derivative of 4*z**2 + 0 + 0*z**3 + 0*z + 0*z**4 - 1/30*z**5. Let n(w) be the second derivative of -w**4/6 - 30*w. Give i(n(r)).
-8*r**4
Let q(o) = 2*o - 11584138. Let d(j) = 2*j**2. What is q(d(m))?
4*m**2 - 11584138
Let y(g) = -6*g**2 - 4208. Let l(a) = -13*a**2. Calculate y(l(w)).
-1014*w**4 - 4208
Let g(z) = 30*z**2. Let c(j) = 1521304*j**2. Give c(g(a)).
1369173600*a**4
Let j(f) be the second derivative of -1372*f**4/3 - 31*f + 21. Let i(b) = -b. What is i(j(t))?
5488*t**2
Let q(z) be the first derivative of -z**2 - 4. Let c(j) = j + 54. Let f(w) = -65. Let y(x) = 6*c(x) + 5*f(x). Calculate y(q(t)).
-12*t - 1
Let s(g) be the first derivative of -g**2/2 - 4. Let c be ((-30)/(-20))/(6/124). Let f(t) = -1 + c*t - 5 + 6. Determine s(f(a)).
-31*a
Let v(j) = 2*j**2. Let z(r) be the second derivative of 0 + 0*r**2 + 53/12*r**4 + 22*r + 0*r**3. Give z(v(p)).
212*p**4
Let u(y) = 3473*y. Let j(k) = 37*k**2 + 25*k + 425. Let a(o) = 9*o**2 + 6*o + 102. Let t(l) = -25*a(l) + 6*j(l). What is u(t(v))?
-10419*v**2
Let h(d) = -73*d + 5. Let r(v) be the second derivative of -v**4/3 + 18*v. Let w(a) = a**2. Let s(z) = -r(z) - 5*w(z). Calculate s(h(y)).
-5329*y**2 + 730*y - 25
Let v(f) = -2303*f. Let b(w) = 510*w**2 + 3*w - 5*w - 512*w**2 + 2*w. Give b(v(y)).
-10607618*y**2
Let b(t) = 6*t + 1. Let f(u) = 35*u - 160. Let j(i) = -6*b(i) + f(i). Let m(o) = 12*o**2. Determine j(m(y)).
-12*y**2 - 166
Let m(v) = -345*v**2. Let t(k) be the third derivative of -k**5/12 + 1918*k**2. What is m(t(b))?
-8625*b**4
Let h(q) be the first derivative of q**2 + 1. Suppose 74 = -3*d + 35. Let v(o) = -o + 13. Let i(n) = -n + 6. Let a(b) = d*i(b) + 6*v(b). What is a(h(m))?
14*m
Let j(p) be the first derivative of -8*p**6/15 - 172*p**3/3 + 16. Let s(l) be the third derivative of j(l). Let x(t) = 3*t**2. Calculate x(s(q)).
110592*q**4
Let g(u) = 3*u**2 - 144*u + 10. Let z(i) = -4*i**2 + 162*i - 10. Let w(n) = 9*g(n) + 8*z(n). Let a(v) = 6*v. Calculate a(w(o)).
-30*o**2 + 60
Let s(b) = -b**3 - 5*b**2 + 5*b - 2. Let u be s(-6). Let a(o) = u*o - 2*o + 0*o. Let i(p) be the first derivative of 12*p**2 - 17674. What is i(a(c))?
48*c
Let t(w) = -4*w**2. Let s be 5/(15/24) - -4. Suppose -s*b = -26 + 2. Let d(i) = -i**2 - 9*i**2 - 6*i**2 + 18*i**b. Give t(d(v)).
-16*v**4
Let q be (2 - -524)*2 - | {
"pile_set_name": "DM Mathematics"
} |
given that 5*n**2 - 20*n - 60 = 0.
-2, 6
Factor y**3/5 + 151*y**2/5 + 1155*y + 1125.
(y + 1)*(y + 75)**2/5
Solve 5*h**5/2 - 70*h**4 + 65*h**3 + 70*h**2 - 135*h/2 = 0.
-1, 0, 1, 27
Find b, given that -4*b**5 + 96*b**4 - 500*b**3 - 296*b**2 + 1728*b - 1024 = 0.
-2, 1, 8, 16
Suppose -2*v**5/3 + 4*v**4/3 + 18*v**3 - 8*v**2/3 - 152*v/3 - 32 = 0. Calculate v.
-4, -1, 2, 6
Factor -2*d**3/13 - 2*d**2/13.
-2*d**2*(d + 1)/13
Find r, given that 5*r**3 + 60*r**2 + 205*r + 150 = 0.
-6, -5, -1
Factor -2*l**2/7 + 2320*l/7 - 672800/7.
-2*(l - 580)**2/7
Factor -4*f**3 + 164*f**2 - 464*f + 304.
-4*(f - 38)*(f - 2)*(f - 1)
Factor -12*v**3 - 1059*v**2 - 255*v + 792.
-3*(v + 1)*(v + 88)*(4*v - 3)
Determine z so that -z**3/10 + 3*z**2/10 + 2*z/5 - 6/5 = 0.
-2, 2, 3
Factor 2*j**3/3 + 10*j**2 - 36*j.
2*j*(j - 3)*(j + 18)/3
Solve 3*o**4/8 + 9*o**3/4 - 9*o**2/8 - 6*o + 9/2 = 0 for o.
-6, -2, 1
What is b in 10*b**5 - 2525*b**4 - 3825*b**3 + 3800*b**2 + 2540*b = 0?
-2, -1/2, 0, 1, 254
Let 3*c**5 - 7*c**4 + 5*c**3 - c**2 = 0. Calculate c.
0, 1/3, 1
Solve -3*l**2/4 + 33*l/2 + 405/4 = 0.
-5, 27
Factor 4*g**4 - 52*g**3 - 328*g**2 - 560*g - 288.
4*(g - 18)*(g + 1)*(g + 2)**2
Find p, given that p**2 + 40*p + 400 = 0.
-20
Factor -r**2/2 + 14*r - 98.
-(r - 14)**2/2
Suppose -2*r**2/17 + 13904*r/17 - 24165152/17 = 0. What is r?
3476
Factor 32*n**3/5 - 368*n**2/5 + 1058*n/5.
2*n*(4*n - 23)**2/5
Factor 3*b**5 + 18*b**4 - 3*b**3 - 18*b**2.
3*b**2*(b - 1)*(b + 1)*(b + 6)
What is r in 2*r**4/21 - 1630*r**3/21 - 468*r**2 - 19688*r/21 - 13136/21 = 0?
-2, 821
Determine n so that 5*n**5/3 - 22*n**4/3 + 10*n**3 - 8*n**2/3 - 11*n/3 + 2 = 0.
-3/5, 1, 2
Let 3*l**4 + 162*l**3 + 1260*l**2 + 1950*l - 3375 = 0. What is l?
-45, -5, 1
Let -9*v**5 - 15*v**4 + 102*v**3 + 324*v**2 + 312*v + 96 = 0. What is v?
-2, -1, -2/3, 4
Let o**2/2 + 13*o + 24 = 0. What is o?
-24, -2
Determine d, given that -7*d**2/3 - 10*d/3 - 1 = 0.
-1, -3/7
Determine o so that -o**4 - 7*o**3 + 7*o**2 + 55*o + 42 = 0.
-7, -2, -1, 3
Suppose -d**2/2 - 171*d - 29241/2 = 0. Calculate d.
-171
Factor -5*u**2 + 3770*u - 710645.
-5*(u - 377)**2
Determine m, given that -5*m**3 + 75*m**2 + 590*m + 840 = 0.
-4, -2, 21
Factor -4*i**2 + 17*i - 4.
-(i - 4)*(4*i - 1)
Let 3*h**3/8 + 321*h**2/8 + 159*h/4 = 0. What is h?
-106, -1, 0
Factor 3*r**3 - 306*r**2 + 303*r.
3*r*(r - 101)*(r - 1)
Let -2*g**5/3 - 1594*g**4/3 - 316804*g**3/3 + 319996*g**2/3 + 105602*g - 106134 = 0. Calculate g.
-399, -1, 1
Factor 2*y**3 - 14*y**2 + 12*y.
2*y*(y - 6)*(y - 1)
Factor 3*l**2 - 51*l.
3*l*(l - 17)
Factor 2*b**5/9 - 50*b**4/9 + 112*b**3/3 - 32*b**2.
2*b**2*(b - 12)**2*(b - 1)/9
Factor 3*b**4 - 27*b**3 + 87*b**2 - 117*b + 54.
3*(b - 3)**2*(b - 2)*(b - 1)
Suppose b**5/3 - 2*b**4/3 - 4*b**3 - 14*b**2/3 - 5*b/3 = 0. What is b?
-1, 0, 5
Solve 2*p**5/5 - 12*p**4/5 - 4*p**3 + 104*p**2/5 + 42*p + 20 = 0.
-2, -1, 5
Find n such that -24*n**5 + 4*n**4 + 48*n**3 - 8*n**2 - 24*n + 4 = 0.
-1, 1/6, 1
Factor -2*a**3/9 + 112*a**2/3.
-2*a**2*(a - 168)/9
Factor -242*v**3/9 - 1232*v**2/9 - 376*v/3 - 32.
-2*(v + 4)*(11*v + 6)**2/9
Factor -2*y**3 - 24*y**2 - 18*y + 44.
-2*(y - 1)*(y + 2)*(y + 11)
Suppose -v**2/7 + 296*v/7 - 21904/7 = 0. Calculate v.
148
Factor -3*r**2 + 4*r - 1.
-(r - 1)*(3*r - 1)
Factor -3*i**4 - 174*i**3 - 171*i**2.
-3*i**2*(i + 1)*(i + 57)
Determine k so that k**3/8 + 339*k**2/8 - 681*k/8 + 341/8 = 0.
-341, 1
What is q in -4*q**4 - 444*q**3 - 856*q**2 + 1776*q + 3488 = 0?
-109, -2, 2
Factor 5*m**3 + 1305*m**2.
5*m**2*(m + 261)
Suppose 4*s**3/9 + 14*s**2/9 - 136*s/9 + 64/9 = 0. Calculate s.
-8, 1/2, 4
Factor 4*s**2 - 57960*s + 209960100.
4*(s - 7245)**2
What is a in 3*a**3 + 15*a**2 - 27*a - 135 = 0?
-5, -3, 3
What is o in 2*o**2 - 118*o - 1072 = 0?
-8, 67
Factor -3*v**4 + 42*v**3 + 96*v**2.
-3*v**2*(v - 16)*(v + 2)
Solve -3*d**2 - 120*d = 0 for d.
-40, 0
Solve -u**3/7 + 2*u**2/7 + 5*u/7 - 6/7 = 0.
-2, 1, 3
Factor 3*t**5 - 6*t**4 - 27*t**3 + 54*t**2.
3*t**2*(t - 3)*(t - 2)*(t + 3)
Let -2*f**4/17 - 44*f**3/17 - 242*f**2/17 = 0. Calculate f.
-11, 0
Let 5*w**4/2 - 205*w**3/4 + 45*w**2/2 + 205*w/4 - 25 = 0. Calculate w.
-1, 1/2, 1, 20
Factor -j**3 - 3*j**2 + 286*j + 288.
-(j - 16)*(j + 1)*(j + 18)
Factor 3*a**4 + 93*a**3 + 339*a**2 + 411*a + 162.
3*(a + 1)**2*(a + 2)*(a + 27)
Suppose 3*l**4/7 - 27*l**3/7 + 75*l**2/7 - 81*l/7 + 30/7 = 0. Calculate l.
1, 2, 5
Factor -2*v**2 + 178*v.
-2*v*(v - 89)
Solve -8*w**5/3 - 2*w**4 + 22*w**3 + 80*w**2/3 - 8*w = 0.
-2, 0, 1/4, 3
Solve 42*m**3/13 - 8*m**2/13 - 120*m/13 - 64/13 = 0 for m.
-8/7, -2/3, 2
Factor 2*i**2 + 228*i.
2*i*(i + 114)
Let n**4/2 - 60*n**3 - 123*n**2/2 + 121*n = 0. Calculate n.
-2, 0, 1, 121
Factor 3*n**4/8 + 45*n**3/8 + 183*n**2/8 + 63*n/8 - 147/4.
3*(n - 1)*(n + 2)*(n + 7)**2/8
Find g such that -2*g**2/7 - 36*g/7 - 34/7 = 0.
-17, -1
Factor -2*v**4 - 4*v**3 + 106*v**2 - 180*v.
-2*v*(v - 5)*(v - 2)*(v + 9)
Factor -2*h**3 + 4*h**2 + 10*h - 12.
-2*(h - 3)*(h - 1)*(h + 2)
Suppose i**5/6 + 7*i**4/3 + 6*i**3 + 17*i**2/3 + 11*i/6 = 0. What is i?
-11, -1, 0
Factor 34*j**3 - 98*j**2 - 12*j.
2*j*(j - 3)*(17*j + 2)
Find j such that -j**4/4 + j**3/2 + j**2/4 - j/2 = 0.
-1, 0, 1, 2
Find o, given that 3*o**4 + 612*o**3 - 21*o**2 - 4266*o + 3672 = 0.
-204, -3, 1, 2
Solve -b**4/12 + 4*b**3 - 23*b**2/2 + 34*b/3 - 15/4 = 0.
1, 45
Let -s**5 - 13*s**4 - 20*s**3 + 100*s**2 = 0. What is s?
-10, -5, 0, 2
Factor 2*j**3/13 - 54*j**2/13 - 914*j/13 - 66.
2*(j - 39)*(j + 1)*(j + 11)/13
Suppose -2*k**4 - 8*k**3 - 6*k**2 + 8*k + 8 = 0. Calculate k.
-2, -1, 1
Factor -2*c**2 - 10*c + 12.
-2*(c - 1)*(c + 6)
Factor a**5 - 3*a**4 - a**3 + 11*a**2 - 12*a + 4.
(a - 2)*(a - 1)**3*(a + 2)
Factor -16*r**3/7 - 636*r**2/7 - 6240*r/7 + 1600/7.
-4*(r + 20)**2*(4*r - 1)/7
Solve b**5 - 24*b**4 + 116*b**3 - 144*b**2 = 0 for b.
0, 2, 4, 18
Suppose 2*t**5/5 - 62*t**4/5 + 54*t**3/5 + 182*t**2/5 - 56*t/5 - 24 = 0. Calculate t.
-1, 1, 2, 30
Factor -c**3/3 + 146*c**2 - 16132*c + 95048/3.
-(c - 218)**2*(c - 2)/3
Factor -2*z**5 - 24*z**4 + 152*z**3 - 292*z**2 + 234*z - 68.
-2*(z - 2)*(z - 1)**3*(z + 17)
Let 3*g**4/4 - 717*g**3/4 - 5121*g**2/4 - 11043*g/4 - 3321/2 = 0. Calculate g.
-3, -1, 246
Determine l, given that -5*l**2 - 65*l - 60 = 0.
-12, -1
Factor -5*r**3 + 2795*r**2 - 5575*r + 2785.
-5*(r - 557)*(r - 1)**2
Let -k**4/3 + 1052*k**3/3 - 280852*k**2/3 + 732192*k - 1453248 = 0. What is k?
4, 522
Suppose -14*j**5/13 - 7006*j**4/13 - 884972*j**3/13 - 2120988*j**2/13 - 1615014*j/13 - 372006/13 = 0. Calculate j.
-249, -1, -3/7
Find d such that 2*d**2/5 + 2*d - 12/5 = 0.
-6, 1
Factor -2*q**2 + 4424*q - 2446472.
-2*(q - 1106)**2
Factor -4*p**4 - 10268*p**3/9 - 325660*p**2/3 - 10360700*p/3 - 6859000/9.
-4*(p + 95)**3*(9*p + 2)/9
Factor 3*v**2/7 + 33*v/7 - 180/7.
3*(v - 4)*(v + 15)/7
Factor -d**3/7 - 24*d**2/7 - 143*d/7 - 120/7.
-(d + 1)*(d + 8)*(d + 15)/7
Suppose -q**5/3 + 19*q**4 - 655*q**3/3 - 1519*q**2 - 3844*q/3 = 0. Calculate q.
-4, -1, 0, 31
Find g, given that -4*g**5 - 43*g**4 + 63*g**3 + 31*g**2 - 59*g + 12 = 0.
-12, -1, 1/4, 1
Solve u**2/4 - 225*u/2 = 0 for u.
0, 450
Factor -5*n**3 - 100*n**2 + 5*n + 100.
-5*(n - 1)*(n + 1)*(n + 20)
Factor 4*n**3 - 88*n**2 + 304*n - 288.
4*(n - 18)*(n - 2)**2
Determine x so that 4*x**3/5 + 564*x**2/5 + 26508*x/5 + 415292/5 = 0.
-47
Determine u, given that -7*u**5 - 5*u**4 + 16*u**3 - 4*u**2 = 0.
-2, 0, 2/7, 1
Suppose x**4/2 + 40*x**3 + 1599*x**2/2 - 40*x - 800 = 0. Calculate x.
-40, -1, 1
Factor 2*d**5 - 44*d**4 + 338*d**3 - 1056*d**2 + 1152*d.
2*d*(d - 8)**2*(d - 3)**2
Factor -4*v**4 + 12*v**3 + 36*v**2 + 20*v.
-4*v*(v - 5)*(v + 1)**2
Factor -3*g**2 + 9*g + 12.
-3*(g - 4)*(g + 1)
Let -5*v**4/2 + 25*v**2 - 45/2 = 0. Calculate v.
-3, -1, 1, 3
Factor 5*o**5 + 30*o**4 + 25*o**3 - 60*o**2.
5*o**2*(o - 1)*(o + 3)*(o + 4)
Factor -4*f**3/5 + 32*f**2/5 - 44*f/5 - 16.
-4*(f - 5)*(f - 4)*(f + 1)/5
Determine m so that -15*m**4 + 141*m**3 - 324*m**2 + 108*m = 0.
0, 2/5, 3, 6
Suppose -10*i**3 + 362*i**2 - 422*i + 70 = 0. Calculate i.
1/5, 1, 35
Solve -2*q**4/9 + 208*q**3/9 - 768*q**2 + 6912*q + 41472 = 0 for q.
-4, 36
Let -16*a**2 + 60*a + 16 = 0. What is a?
-1/4, 4
Let -500*k**2/3 - 100*k - 15 = 0. What is k?
-3/10
What is n in 10*n**3/13 + 24*n**2/13 + 18*n/13 + 4/13 = 0?
-1, -2/5
Solve -2*b**3/7 + 24*b**2/7 + 120*b/7 + 128/7 = 0.
-2, 1 | {
"pile_set_name": "DM Mathematics"
} |
?
False
Let j be (483/(-35))/(1/(-5)). Suppose 3*o + 237 = 3*v, -4*o = 2*v - v - j. Is v composite?
True
Let w = -3 - -4. Suppose j = -2 + w, 4*j = -5*m + 21. Suppose 260 = m*g - g. Is g composite?
True
Suppose 0*q = 2*q - 156. Suppose -4*i = -3*t + 181, 2*t = -2*i + 38 + q. Is t composite?
False
Let t be (-30510)/(-63) + (-4)/14. Suppose -4*f - 5*a = -t, -4*a + 545 = 3*f + 182. Is f prime?
False
Let m(y) = -y**3 + 8*y**2 - 3*y + 7. Let a be (-1)/5 - 651/(-5). Let c be 8/(-36) - a/(-18). Is m(c) composite?
True
Is (12/3 - 447)/(-1) prime?
True
Suppose -5*h + 9 = -2*h. Suppose 83 = 5*s - 4*y, 0 = -4*s - 0*s + h*y + 67. Is s a composite number?
False
Let l(m) = m**2 + 1049. Is l(0) a prime number?
True
Let k = 812 - -532. Suppose d + 2*d = -3*f + k, 4*d = -3*f + 1787. Is d prime?
True
Let h be (2 + -5 + 2)*-21. Suppose h = -j - 0*j - 3*d, 0 = 3*d + 12. Let g = j - -34. Is g composite?
True
Is ((-20)/21 + (-10)/(-35))*-213 prime?
False
Let o be (-404)/6 + (-1)/(-3). Let k = -93 + 227. Let d = o + k. Is d a prime number?
True
Suppose 2*y - 26 = -4*s, 2*s + 4*y = -y + 17. Suppose -5*r + s = -2*r. Is (-1 + r)/(4/148) prime?
True
Let f(r) = 22 - 3*r**3 - 3*r**3 + r**2 + 7*r**3 + 12. Is f(0) composite?
True
Let r be 155*3*(-10)/(-25). Let p = r + -103. Is p prime?
True
Suppose -2*w - 279 = w. Let c = w + 180. Is c prime?
False
Let g(v) = -47*v - 45. Is g(-8) composite?
False
Let d be 142/(0 - (-4)/2). Let h = d - 48. Is h a prime number?
True
Let t be 338/(-2*(-1)/1). Suppose 3*g - t = -2*d, g - 14 = -4*d + 319. Is d a prime number?
True
Let x = -13 - -25. Suppose 8 = 5*z - x. Let a = 3 + z. Is a prime?
True
Let j(f) = -f + 4. Let k be j(0). Suppose -b + 55 = k*b. Is b composite?
False
Let k(o) = 7 + 5*o**2 - o**3 - 2 - 1 + 3. Is k(-5) a prime number?
True
Let q(y) = y**2 - 5*y - 1. Let u = -1 + -3. Is q(u) a composite number?
True
Let w(m) be the third derivative of 7*m**4/24 - m**3/2 - m**2. Let v be w(2). Is (v + 0)/((-4)/(-28)) composite?
True
Let q(s) = -539*s**3 - s**2 - 3*s. Is q(-1) prime?
True
Let w = 823 + -481. Let h = 622 - w. Is h/12 + (-1)/3 prime?
True
Let l(p) = p**3 + p**2 + p + 75. Let d be l(0). Let n(z) = -2*z**2 - 5*z. Let s be n(4). Let v = s + d. Is v a prime number?
True
Let x(n) = 2*n**2 + 5*n - 1. Is x(16) composite?
True
Suppose -5*z + 5*b = -154 + 54, 4*z - 71 = -5*b. Is z prime?
True
Suppose d + 9 = 3*q + 1, d = 4. Is q a composite number?
True
Let z(x) = -3 + 4*x - 3 - x**3 + 5 - 4*x**2. Let n be z(-5). Suppose 4*r - 5*s - 46 = 3*r, -167 = -5*r + n*s. Is r prime?
True
Let r(n) = n**3 + 3*n**2 - 3*n - 4. Let k be r(-3). Suppose x + 2870 = 3*f, -3825 = -f - 3*f + x. Suppose 0*v = -k*v + f. Is v a composite number?
False
Is (-30)/(-40) + 1873/4 composite?
True
Let z(t) = 2*t**2 + t + 1. Let q be z(-1). Is 2/(-4) - (-111)/q composite?
True
Suppose 3*h - 1 = 5. Suppose -x + h*x - 2 = 0. Suppose x*s = -j + 15, 3*j + 2*s + 24 = 65. Is j a composite number?
False
Is -34 + 37 - (-1842 - (-4)/(-2)) prime?
True
Let r be (-9)/((10/18)/(-5)). Let n = r + -50. Is n a composite number?
False
Let i = -128 - -223. Is i prime?
False
Let p(b) = b + 1. Let z(u) = 4 - 6 + 3 - 11*u. Let d(t) = 2*p(t) - z(t). Is d(4) a composite number?
False
Let h(o) = 9*o. Let y be (77/(-14))/((-2)/4). Let i be h(y). Suppose -2*a + 19 = -i. Is a a prime number?
True
Let c(w) be the first derivative of w**4/4 - w**3/6 + w**2 - 3*w - 1. Let y(m) be the first derivative of c(m). Is y(-5) composite?
True
Let h(i) = -i + 1 + 13*i**2 + 2 + 4*i. Is h(-2) prime?
False
Is 7536/20 + (-5)/(-25) a composite number?
True
Suppose 2*z - 14 = -3*y, 5*z = -3*y - 2*y + 35. Suppose 5*t = -5*m - 45, -4*m = 5*t - z + 50. Is (t/(-3))/((-1)/(-33)) a composite number?
True
Let o(n) = 2*n + 6. Let q be o(6). Suppose x + 5*a = 25, -x + q = x + 2*a. Suppose -x*h = -7*h + 62. Is h prime?
True
Let p(k) = -7 + 5*k**2 + 9*k + k**2 - 3*k**2. Let h be p(-9). Suppose -4*y + h = y. Is y a composite number?
False
Let b be -3 + (-6)/(-3)*1. Let y = 54 + b. Is y prime?
True
Suppose -b + 111 - 674 = 5*m, -3 = b. Let i = 165 + m. Is i a composite number?
False
Let a = -3 - -5. Suppose a*h - 33 - 29 = 0. Is h composite?
False
Let k be (-3508)/9 - 4/18. Let o = k + 575. Is o a prime number?
False
Let z(d) be the second derivative of 15*d**3/2 - d**2 - 6*d. Is z(1) a prime number?
True
Suppose -z = -3*z + 4. Suppose -k = -4*j - 12, -z*j + 3 + 1 = 2*k. Suppose k*s = -3*w + 45, -2*w + 5*w - 69 = 4*s. Is w a prime number?
True
Let g(h) = 3*h**3 - 6*h**2 - 6*h - 4. Suppose -2*i + 20 = 2*i. Is g(i) a composite number?
False
Suppose 0*d = -2*d - 2*r + 620, r + 918 = 3*d. Is d prime?
True
Let s(z) = z**3 + 5*z**2 + 10*z + 12. Let c be s(-8). Is (14/8)/((-5)/c) composite?
True
Suppose -2*n = -w - 2057, w + 5138 = 5*n - 0*n. Is n a composite number?
True
Suppose -2*f + 3*s = 3*f - 22, -5*f + 4*s + 26 = 0. Suppose 2*a + 10 = 0, -3*j + 4*j - 2*a - 9 = 0. Is (j/(-1))/(f/166) prime?
True
Let y(b) = 76*b + 10. Let v be y(-8). Is v*((-14)/4 + 3) composite?
True
Let j(c) = -c**3 + 3*c**2 + 2*c - 1. Let f be j(2). Let r(u) be the third derivative of u**6/120 - u**5/12 - u**4/3 - 3*u**3/2 + u**2. Is r(f) a prime number?
False
Suppose -2*j + 4*l + 10 = 0, 0*j + 5*j = 5*l + 5. Let v = j - -12. Is -1 + (-3)/(-1) + v prime?
True
Let v(n) be the first derivative of -21*n**2/2 - 7*n + 1. Is v(-6) a prime number?
False
Suppose -5*g + j + 1461 = -j, 3*j = g - 300. Suppose -290 = -4*k - 2*h + 550, h = 5*k - 1036. Let x = g - k. Is x prime?
True
Let t be (-2)/(-4) + 247/(-2). Let l = t + 448. Suppose 0*c - 5*c = -l. Is c prime?
False
Suppose -4*n + 749 = -575. Is n a composite number?
False
Let f(a) = -a**2 - 4*a + 7. Let b be f(-5). Suppose -3*v + b = 5. Is v/2 - (-150)/4 a prime number?
True
Suppose 5*m + l + 12514 = 10*m, -1 = -l. Is m a prime number?
True
Suppose -5*m + 3*z = -24, 2*m = -z + 2*z + 9. Suppose 76 = t + m*t. Is t prime?
True
Suppose 5*c - 407 + 1667 = 0. Let f = -125 - c. Is f composite?
False
Let w = 1956 + -1049. Is w prime?
True
Let h(l) = -l + 11. Let f be h(7). Suppose -2*b + f*s + 92 = -166, s - 263 = -2*b. Is b composite?
False
Suppose -1049 = -4*c + 703. Let q = c - 215. Is q prime?
True
Let d(r) = r**2 - 5*r + 3. Let w be d(5). Is 88 - (0 + w/1) a prime number?
False
Suppose -2*x = -7*x + 1805. Is x a composite number?
True
Let i(s) = 13*s**2 + 8. Is i(9) a composite number?
False
Let y(c) = -215*c - 6. Is y(-5) prime?
True
Let t = -19 + 34. Suppose 2*u + 3*w = -5, -t = -5*u + 4*w + 30. Suppose -u*z - 66 + 328 = -3*y, 4*z - 211 = y. Is z a prime number?
True
Let w be (-1)/(-6) - (-200)/(-48). Is w/(-4)*2 + 12 prime?
False
Let v = -1650 + 4145. Is v composite?
True
Suppose -3*b + t = -32, 8*b - 4*b = t + 44. Is (-176)/(-3) - (-4)/b a prime number?
True
Let r(y) = 12*y - 4. Let s(q) = -q**3 + 5*q**2 - 4*q + 5. Let k be s(4). Let c be r(k). Suppose 14 = 5*p - c. Is p prime?
False
Suppose 2*i - 12 = -i. Suppose -i*t + 256 = 68. Is t composite?
False
Let o = -3 - -6. Suppose -215 = o*a + 2*a. Let g = -6 - a. Is g a prime number?
True
Let u(v) = 24*v + 21. Is u(9) a composite number?
True
Let v(k) = 6*k**3 + k**2. Suppose -2*o + 1 = -3*c - 4, -3*o + 9 = -3*c. Let l be v(c). Suppose 0 = l*w - 2*w - 35. Is w a prime number?
True
Let x(b) = 3*b**2 - 20*b - 13. Let g(o) = -o**2 + 7*o + 4. Let j(f) = 11*g(f) + 4*x(f). Is j(-6) prime?
False
Suppose 5*q - 29 = 11. Suppose 5*c - 310 = 5*b, -4*c - 5*b = -q*c + 245. Is c prime?
False
Let f(s) = 10*s**2 - 2*s + 1. Let d be f(1). Suppose -x + 4*g = 0, -x = -3*g + 2*g - d. Is 465/x - (-1)/4 a composite number?
True
Let f be ((-1)/(-3))/((-9)/(-54)). Suppose -4*z + 4*o = 12, -f*z - 6*o + 18 = -2*o. Suppose -22 + z = -h. Is h prime?
False
Let l(g) = 10*g + 19. Suppose -32 = -2*v + 2*w, 54 = -0*v + 3*v - 5*w. Is l(v) a composite number?
False
Let c(q) be the third derivative of 5*q**4/12 + q**3/3 - 2*q**2. Let k be (2/(-3))/((-1)/3). Is c(k) prime?
False
Let f(d) = 4*d. Let z be f(-2). Let w(j) = j**3 + 9*j**2 - 14*j + 2. Is w(z) a composite number?
True
Let u(v) = -27*v + 16. Is u(-7) composite?
True
Let k(a) = 817*a**2 - a + 1. Is k(1) composite?
True
Let n = -592 + 1129. Is n a composite number?
True
Let w = 514 + 663. Is w prime?
False
Let n = 4646 + -2953. Is n pr | {
"pile_set_name": "DM Mathematics"
} |
many millennia are there in 89973.3 months?
7.497775
How many months are there in three fifths of a decade?
72
How many minutes are there in seven eighteenths of a day?
560
How many centuries are there in 34.45244 decades?
3.445244
How many micrometers are there in 9.111313mm?
9111.313
What is 185113.5 months in years?
15426.125
How many nanograms are there in 1.334983t?
1334983000000000
How many weeks are there in 91.5772473ns?
0.00000000000015141740625
How many months are there in thirteen quarters of a century?
3900
Convert 1.857233 hours to seconds.
6686.0388
What is 3.123052mg in micrograms?
3123.052
What is 2978.231 millennia in months?
35738772
How many kilograms are there in 35.99801 nanograms?
0.00000000003599801
Convert 0.5042805 litres to millilitres.
504.2805
What is 3/10 of a decade in years?
3
What is 0.3230916mg in tonnes?
0.0000000003230916
What is 5/4 of a milligram in micrograms?
1250
What is 0.7443893t in grams?
744389.3
What is 183310.965s in days?
2.1216546875
What is 1/5 of a century in years?
20
How many kilograms are there in seven halves of a tonne?
3500
What is 0.9552678 millilitres in litres?
0.0009552678
What is fourty-one halves of a meter in centimeters?
2050
Convert 0.3064373 nanograms to micrograms.
0.0003064373
How many milliseconds are there in seven sixths of a minute?
70000
What is 9376.235 kilograms in micrograms?
9376235000000
What is sixty-one quarters of a litre in millilitres?
15250
How many millimeters are there in 6/25 of a meter?
240
How many millimeters are there in 54/5 of a centimeter?
108
How many months are there in seven halves of a century?
4200
How many millennia are there in 123.9392 years?
0.1239392
What is 4.106602 kilometers in micrometers?
4106602000
What is 238.45614ms in minutes?
0.003974269
What is 44775.93 millimeters in nanometers?
44775930000
What is eighty-seven quarters of a year in months?
261
Convert 80516.76 months to years.
6709.73
Convert 0.8331629kg to tonnes.
0.0008331629
How many micrometers are there in 26/5 of a centimeter?
52000
Convert 383.8356 litres to millilitres.
383835.6
How many millennia are there in 12119.4 centuries?
1211.94
What is 95897.3ns in microseconds?
95.8973
What is six fifths of a century in years?
120
How many grams are there in 64/5 of a kilogram?
12800
How many kilograms are there in seven eighths of a tonne?
875
How many millilitres are there in 1/20 of a litre?
50
Convert 474515.5 decades to years.
4745155
How many litres are there in 30826.49 millilitres?
30.82649
How many millilitres are there in 1.553508 litres?
1553.508
What is six fifths of a meter in centimeters?
120
What is 3/5 of a meter in millimeters?
600
How many minutes are there in five sixths of a hour?
50
What is 0.2367644 micrograms in tonnes?
0.0000000000002367644
What is twenty-one fifths of a kilogram in grams?
4200
How many months are there in sixty-seven thirds of a century?
26800
What is 65102.66 years in decades?
6510.266
Convert 96.78116 decades to millennia.
0.9678116
How many nanoseconds are there in 66127.08 weeks?
39993657984000000000
Convert 0.4599938s to microseconds.
459993.8
Convert 8.987725 meters to millimeters.
8987.725
How many months are there in five sixths of a year?
10
How many minutes are there in 3/40 of a week?
756
What is 0.6809073 nanometers in meters?
0.0000000006809073
How many hours are there in 27/4 of a day?
162
What is 5/4 of a century in months?
1500
How many millimeters are there in 2.685373cm?
26.85373
Convert 82155.94 decades to centuries.
8215.594
Convert 650582.7m to nanometers.
650582700000000
What is 1/5 of a kilometer in meters?
200
What is 14844419.1ns in days?
0.00000017181040625
How many hours are there in eighteen sevenths of a week?
432
How many years are there in seven halves of a decade?
35
Convert 34198.22um to nanometers.
34198220
How many litres are there in 4054.754ml?
4.054754
How many micrograms are there in thirteen fifths of a milligram?
2600
How many millimeters are there in fourty-five quarters of a meter?
11250
How many kilograms are there in 1/5 of a tonne?
200
Convert 7.30887ug to grams.
0.00000730887
How many minutes are there in 1/16 of a day?
90
Convert 60.14902t to milligrams.
60149020000
How many grams are there in five quarters of a kilogram?
1250
How many millilitres are there in one fifth of a litre?
200
How many nanograms are there in 7/8 of a microgram?
875
Convert 61933.27 weeks to minutes.
624287361.6
How many nanograms are there in 5/8 of a microgram?
625
What is 350.2892t in grams?
350289200
How many nanograms are there in 5130.706 grams?
5130706000000
How many nanograms are there in 832.0359t?
832035900000000000
How many minutes are there in seven halves of a day?
5040
How many nanoseconds are there in 345234.6 minutes?
20714076000000000
Convert 62.03963mg to kilograms.
0.00006203963
What is 754.7136nm in meters?
0.0000007547136
What is twenty-five halves of a litre in millilitres?
12500
What is 76811.9s in microseconds?
76811900000
What is 8750.133kg in grams?
8750133
How many milligrams are there in three eighths of a gram?
375
How many minutes are there in fifty-three fifths of a day?
15264
What is 5/4 of a day in minutes?
1800
Convert 558.0302ml to litres.
0.5580302
Convert 91103.02t to grams.
91103020000
How many litres are there in 6025.881ml?
6.025881
How many micrograms are there in 8544.765 nanograms?
8.544765
How many months are there in 7/2 of a year?
42
How many decades are there in 54/5 of a millennium?
1080
How many millilitres are there in 11/10 of a litre?
1100
Convert 92774.49 months to millennia.
7.7312075
How many milligrams are there in fifty-five quarters of a gram?
13750
What is 10.367568us in days?
0.000000000119995
How many centimeters are there in three fifths of a meter?
60
How many millilitres are there in 53515.98 litres?
53515980
What is 3/10 of a tonne in kilograms?
300
How many seconds are there in 85601.45 days?
7395965280
What is 5/8 of a millimeter in micrometers?
625
What is 3/5 of a microgram in nanograms?
600
How many micrograms are there in 0.7650895kg?
765089500
Convert 42.4304 years to centuries.
0.424304
Convert 3536.994 decades to years.
35369.94
How many years are there in 1/5 of a decade?
2
Convert 597359.4 meters to millimeters.
597359400
How many millilitres are there in 5/4 of a litre?
1250
How many millilitres are there in three eighths of a litre?
375
What is 665.668 centimeters in meters?
6.65668
How many kilograms are there in 6/25 of a tonne?
240
What is 17/4 of a millennium in decades?
425
How many litres are there in 34.15328 millilitres?
0.03415328
Convert 4.087173 kilograms to tonnes.
0.004087173
How many weeks are there in 1888.35948s?
0.0031222875
What is 21/4 of a century in months?
6300
How many litres are there in 923.7837 millilitres?
0.9237837
What is 1/5 of a minute in milliseconds?
12000
What is 8969.045 hours in microseconds?
32288562000000
What is three tenths of a millimeter in micrometers?
300
How many litres are there in 9.429708ml?
0.009429708
How many millilitres are there in twenty-seven quarters of a litre?
6750
What is 18419.49l in millilitres?
18419490
What is six fifths of a microgram in nanograms?
1200
Convert 9.040745 millilitres to litres.
0.009040745
Convert 29465.47 centuries to millennia.
2946.547
How many millilitres are there in seventeen halves of a litre?
8500
What is three tenths of a litre in millilitres?
300
Convert 226.9804m to nanometers.
226980400000
What is 5.48421kg in milligrams?
5484210
Convert 101.8984 milliseconds to nanoseconds.
101898400
How many grams are there in 3/8 of a kilogram?
375
How many months are there in twenty-one quarters of a century?
6300
How many grams are there in 9.847325 milligrams?
0.009847325
What is eleven quarters of a hour in seconds?
9900
What is 61.19929 kilometers in nanometers?
61199290000000
What is 27/5 of a litre in millilitres?
5400
What is 1/5 of a century in decades?
2
What is eleven quarters of a tonne in kilograms?
2750
Convert 26106.51 months to years.
2175.5425
What is 1/10 of a tonne in grams?
100000
Convert 23880.25 millilitres to litres.
23.88025
What is 3/40 of a gram in micrograms?
75000
What is eighteen fifths of a litre in millilitres?
3600
What is 59/ | {
"pile_set_name": "DM Mathematics"
} |
e first derivative of -18*f**3 - 9*f + 78. Find the first derivative of l(t) wrt t.
-108*t
Let u(g) be the third derivative of g**8/168 + 3*g**7/35 + g**5/4 - 22*g**2. What is the third derivative of u(t) wrt t?
120*t**2 + 432*t
Let o(z) be the first derivative of 28*z**5/5 + z**4/2 - 23*z + 95. Differentiate o(u) wrt u.
112*u**3 + 6*u**2
Let g(r) = 2 - 4 + r**2 + 0 + 1. Let u be g(3). What is the third derivative of -2*p**6 - 8*p**6 + 7*p**2 - u*p**2 - 8*p**2 wrt p?
-1200*p**3
Let r(h) be the second derivative of 7*h**5/2 - 2*h**4/3 - 7*h**2/2 - 112*h. What is the third derivative of r(x) wrt x?
420
Suppose -25 = -b - 21. Find the first derivative of -13*h**3 - 3 + 27*h**3 - 10*h**b - 14*h**3 wrt h.
-40*h**3
Suppose -22 = 5*p + 28. Let v = -9 - p. What is the derivative of v + 4 - f - 4 wrt f?
-1
Let d(l) = l**2 + l - 1. Let b be (-100)/40*-1*2. Let t(c) = -11*c**2 + 5*c - 28. Let g(s) = b*d(s) - t(s). Differentiate g(o) wrt o.
32*o
Let f(w) be the second derivative of -43*w**3/6 + 139*w**2/2 - 143*w. What is the derivative of f(c) wrt c?
-43
Let i = -19 - -22. What is the third derivative of -2*y**3 - 7*y**2 + 0*y**i + 0*y**3 wrt y?
-12
What is the first derivative of 245*j**2 + 110 - 76 + 113 + 92 + 42 wrt j?
490*j
Let i(g) = -13*g**3 + 5*g**2 + 19*g + 12. Let x(s) = s**3 - s - 3. Let d(r) = -i(r) - 4*x(r). What is the second derivative of d(l) wrt l?
54*l - 10
Let b(l) be the second derivative of -5 - 5*l + 0*l**5 + 8/15*l**6 + 0*l**3 + 0*l**2 - 13/12*l**4. Find the third derivative of b(x) wrt x.
384*x
Suppose 15 = -2*s + 7*s. What is the third derivative of 2*g**2 + s*g**2 + 0*g**4 + 10*g**4 - 3*g**4 wrt g?
168*g
Let f = -45 + 50. What is the second derivative of 3*j**4 + 8*j**4 - 20*j + 37*j**f - 11*j**4 wrt j?
740*j**3
Suppose 6 = -2*n + 3*s + 39, -15 = 5*s. Let u be (-88)/77*7/(-2). What is the third derivative of -22*w**4 - w**2 + n*w**4 + 10*w**4 + u*w**4 wrt w?
96*w
Differentiate 1167 + 17*c + c**2 + 2*c**4 - 994 + 26*c - c**2 wrt c.
8*c**3 + 43
Let f(s) be the second derivative of -152*s**3/3 + 352*s**2 - 120*s. Find the first derivative of f(h) wrt h.
-304
Find the third derivative of 10*s**2 - 54*s**3 - 12*s**2 - s + 5*s**2 wrt s.
-324
Suppose s = 2*a + 10, 4*s + 2*a + 0*a - 20 = 0. Suppose 0 = -5*o - s + 26. What is the second derivative of -3*p + 2*p**2 - 8*p**o - 2*p**2 + 2*p**4 wrt p?
-72*p**2
Let a(f) be the second derivative of -197*f**4/12 - 46*f**3/3 - 105*f - 2. Find the second derivative of a(l) wrt l.
-394
Let i(z) = 2*z**2 + z + 5. Let s be i(-3). Find the third derivative of -4*c**2 - 18*c**4 + s*c**4 + 18*c**4 wrt c.
480*c
Let o(y) be the third derivative of 1/24*y**6 + 0 + 11/6*y**3 + 0*y**4 + 0*y**5 + 8*y**2 + 0*y. Differentiate o(r) with respect to r.
15*r**2
Let y(f) = f**2 + f - 20. Let j be y(-7). What is the first derivative of 11*r - j + 16*r - 11*r wrt r?
16
Suppose 7*k - 33 = -4*k. What is the third derivative of 3*g**k + 6*g**6 - 43*g**2 - 3*g**3 + 68*g**2 wrt g?
720*g**3
Let x be 3/1 + (2 - 3)*-1. What is the derivative of 10 - 11 - x*z**4 + 4 wrt z?
-16*z**3
Let x(u) = u + 5. Let c be x(2). Let d = c + -1. Find the first derivative of -4 + 0*g - 6*g - 4*g + d wrt g.
-10
Let f(y) be the first derivative of -11*y**4 - y**2/2 - 38*y - 161. Find the first derivative of f(o) wrt o.
-132*o**2 - 1
Let v(n) be the third derivative of n**6/72 + 11*n**4/24 - 7*n**3/3 - n**2. Let w(d) be the first derivative of v(d). Differentiate w(b) wrt b.
10*b
Suppose -3*r = -9 - 42. Let o = -399 + 402. Find the second derivative of 16*l**3 + 5*l - r*l**o + l wrt l.
-6*l
Let v(j) be the second derivative of -271*j**5/20 + 7*j**2 + 20*j + 9. Find the first derivative of v(l) wrt l.
-813*l**2
Let o(q) be the third derivative of -631*q**5/60 - 805*q**4/24 - 679*q**2. What is the second derivative of o(x) wrt x?
-1262
Let c(m) = 1640*m**2 + 1459*m - 10. Let u(b) = -820*b**2 - 729*b + 6. Let y(g) = -3*c(g) - 5*u(g). Find the second derivative of y(h) wrt h.
-1640
Let a be (-9)/((-36)/16) - 2. What is the third derivative of -2 + 107*v**2 + 0 - v**6 - 106*v**a wrt v?
-120*v**3
Let z(u) be the first derivative of 0*u**4 + 0*u**3 + 0*u**5 - 4 + 11/2*u**2 + 1/2*u**6 + 0*u. Find the second derivative of z(x) wrt x.
60*x**3
Let x(r) be the first derivative of -32*r**3/3 + 40*r - 74. Differentiate x(c) wrt c.
-64*c
Let y(c) be the first derivative of -3*c**2 - 24. Let j(h) = 0*h - 3 + 7*h + 4. Let f(w) = 4*j(w) + 6*y(w). Differentiate f(b) wrt b.
-8
Find the third derivative of 64*l**2 - 93*l**6 - 181*l**2 - 2*l**4 + 77*l**6 wrt l.
-1920*l**3 - 48*l
Let w(b) = b**2 + 1. Let n(f) = -33*f**2 + 14*f + 7. Let s(d) = n(d) - 6*w(d). Find the second derivative of s(z) wrt z.
-78
Differentiate 9*q**3 + 183 + 6*q**3 - q**2 - 46*q**2 - 4*q**3 - 597 with respect to q.
33*q**2 - 94*q
Let y = -8 + 11. Let c be (y/1)/(-3)*-1. What is the first derivative of 9*x**4 - 5 - 13*x**4 - c wrt x?
-16*x**3
Suppose -2*b - 18 = -4*n - 5*b, -b + 8 = 2*n. Find the first derivative of -55*v**2 + 105*v**2 + n + 7 - 79*v**2 wrt v.
-58*v
Let t be ((-16)/10)/((-4)/10). Let z be t*-6*(-2)/8. Find the third derivative of -3*n**4 + 6*n**3 - z*n**3 + n**2 wrt n.
-72*n
Let v(j) be the first derivative of -j**2 - 24*j + 9. Let c be v(-15). Find the third derivative of -3*w**2 + 0*w**c + 4*w**6 + 3*w**6 wrt w.
840*w**3
Find the third derivative of -655*f**3 - 750*f**3 - f**2 + 71 + 1548*f**3 wrt f.
858
Let q = 5 + 0. Let c(w) = w + 18. Let i be c(-16). Find the first derivative of 0*s**3 - 2*s**3 - q - i*s**3 wrt s.
-12*s**2
Let t = -135 - -142. What is the third derivative of 5*y**2 + t*y**2 + 6*y**2 - 4*y**2 + 46*y**4 wrt y?
1104*y
Let i be (5/(30/8))/(4/24). Let v(d) = d**2 + 7*d + 3. Let y be v(-7). What is the derivative of -5 + 9*w**2 + 4 - i + y*w**2 wrt w?
24*w
Let c(q) = 5*q - 9. Let m be c(3). Suppose -m*s + 24 = -2*s. What is the second derivative of -2*u + 4*u**4 + s*u - 14*u - 14*u**4 wrt u?
-120*u**2
Let t = 63 - 61. Let r(q) = -q**3 - q**2 - q. Let w(f) = -21*f**3 - 27*f**2 - 36*f. Let m(a) = t*w(a) - 54*r(a). What is the second derivative of m(c) wrt c?
72*c
Let k(h) = -279*h**3 + 163*h**2 - 7. Let l(c) = 139*c**3 - 82*c**2 + 4. Let n(a) = 4*k(a) + 7*l(a). What is the third derivative of n(p) wrt p?
-858
Let o(l) be the second derivative of -l**7/1260 + l**5/120 - 2*l**4/3 + 6*l. Let q(i) be the third derivative of o(i). Differentiate q(m) wrt m.
-4*m
What is the third derivative of 174*i**3 - i**2 - 51*i**3 - 884*i + 623*i wrt i?
738
Let q(p) be the first derivative of -52*p**7/7 - p**3/3 - 32. What is the third derivative of q(h) wrt h?
-6240*h**3
Let h = 16 - 10. Suppose 0 = 2*o - 10 + h. What is the third derivative of 0*l**4 + 0*l**4 - 5*l**6 - 4*l**o + 7*l**6 wrt l?
240*l**3
What is the derivative of -4*u**4 + 4 + 32 + 10*u**4 - 2*u**4 + 2*u**2 wrt u?
16*u**3 + 4*u
Let x be ((-6)/(-15))/(4/20). What is the derivative of -7 + 11 - 3 - 5 + 7*v**x wrt v?
14*v
Let n be (0 - 0)/(0 - 2). Suppose 2*z - 3*v - 12 = n, -3*z + v = -0*v - 4. What is the third derivative of j**2 + j**5 + z*j**5 - 2*j**5 + 2*j**2 wrt j?
-60*j**2
What is the first derivative of -6*y**3 - 11*y**3 - 51 + 7*y**4 - 6*y**4 wrt y?
4*y**3 - 51*y**2
Let c(p) = 195*p**3 - 184*p. Let f(d) = 585*d**3 - 551*d. Let i(a) = 8*c(a) - 3*f(a). Find the second derivative of i(j) wrt j.
-1170*j
What is the third derivative of 138*n**2 + 27*n**6 - 34*n**6 + 116*n**6 + 29*n**6 + 40*n**2 wrt n?
16560*n**3
Let c(t) be the second derivative of t**6/30 + 16*t**5/5 - 7*t**3/6 - 37*t**2/2 + 129*t - 1. Find the second derivative of c(i) wrt i.
12*i**2 + 384*i
Let o(l) be the second derivative of -17*l**6/30 - l**5/10 + 107*l**3/6 - 7*l + 11. What is the second derivative of o(y) wrt y?
-204*y**2 - 12*y
Suppose 4*w - 6 = w. Suppose w*m - 6 = 2. Find the second derivative of m*z + 13*z**2 - 7*z**2 - z - 2*z wrt z.
12
Let c(a) = a**3 - a**2 - a + 1. Let v(l) = -6*l**3 + 10*l**2 + 2*l - 2. Let q = 1 - 2. Let b(p) = q*v(p) - 2*c(p). What is the third derivative of b(r) wrt r?
24
Suppose -6*u + 9*u - 12 = 0. Let x(b) = -23*b - 15. Let k(s) = -70*s - 46. Let c(n) = u*k(n) - 11*x(n). Find the first derivative of c(p) wrt p.
-27
Let s(l) be the second derivative of 7*l**3/6 + 70*l**2 + 140*l. Differentiate s(r) with r | {
"pile_set_name": "DM Mathematics"
} |
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