text stringlengths 270 8.19k | meta dict |
|---|---|
from jcwcpykpy.
1/42
Two letters picked without replacement from onkcx. What is prob of picking 1 n and 1 c?
1/10
Three letters picked without replacement from {s: 10, r: 9}. What is prob of picking 3 r?
28/323
Four letters picked without replacement from {y: 2, b: 6, t: 2, x: 2, s: 3, d: 2}. Give prob of picking 3 b and 1 y.
2/119
Three letters picked without replacement from wynlnyywwnwwwnn. What is prob of picking 1 w and 2 n?
12/91
What is prob of picking 2 a when two letters picked without replacement from pazhzypy?
0
Calculate prob of picking 2 b and 1 h when three letters picked without replacement from bbbhbhbbbbbbbbbbbbbb.
51/190
Three letters picked without replacement from {q: 2, b: 2, a: 7, f: 1}. What is prob of picking 2 b and 1 a?
7/220
Calculate prob of picking 1 f and 2 h when three letters picked without replacement from {h: 2, p: 1, f: 4}.
4/35
Two letters picked without replacement from nujcn. What is prob of picking 2 u?
0
What is prob of picking 2 t and 1 h when three letters picked without replacement from {t: 2, h: 7, w: 2, l: 1, m: 2, b: 2}?
1/80
Three letters picked without replacement from ttvdddvvvtvvtvvd. Give prob of picking 2 t and 1 v.
3/35
Three letters picked without replacement from nsccsscnlpsnn. What is prob of picking 1 p, 1 l, and 1 n?
2/143
Three letters picked without replacement from rqqqrrqq. What is prob of picking 3 r?
1/56
Two letters picked without replacement from {e: 4, v: 5, l: 5}. Give prob of picking 2 l.
10/91
Calculate prob of picking 2 y when two letters picked without replacement from ypdmpy.
1/15
Three letters picked without replacement from lfhffiyhiyuy. What is prob of picking 1 l, 1 h, and 1 i?
1/55
Two letters picked without replacement from {c: 6, h: 4}. Give prob of picking 2 c.
1/3
Three letters picked without replacement from jjppjsbsjbppsbssbjjp. Give prob of picking 3 j.
1/57
What is prob of picking 2 g and 2 h when four letters picked without replacement from {p: 1, k: 6, g: 4, h: 4}?
12/455
Three letters picked without replacement from neefxneexg. Give prob of picking 1 e, 1 x, and 1 n.
2/15
Two letters picked without replacement from {p: 1, t: 1, x: 1, d: 1, c: 1}. What is prob of picking 1 x and 1 c?
1/10
What is prob of picking 1 s and 1 e when two letters picked without replacement from igueset?
2/21
Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {m: 1, x: 2, t: 2, b: 2, n: 1, h: 1}.
1/18
Two letters picked without replacement from umnrmcucrurnr. Give prob of picking 1 u and 1 r.
2/13
Four letters picked without replacement from bbabbbbaaalbala. Give prob of picking 4 a.
1/91
Two letters picked without replacement from dffddddddfdddddffdd. What is prob of picking 2 d?
91/171
Three letters picked without replacement from {y: 1, b: 2, c: 2, h: 1}. Give prob of picking 1 h, 1 y, and 1 b.
1/10
Calculate prob of picking 1 q and 1 r when two letters picked without replacement from {k: 8, r: 3, q: 6}.
9/68
Calculate prob of picking 1 e and 1 t when two letters picked without replacement from tewttetaettt.
7/22
What is prob of picking 1 w and 1 c when two letters picked without replacement from {h: 1, v: 3, w: 3, l: 7, c: 3, t: 2}?
1/19
Calculate prob of picking 2 s and 1 k when three letters picked without replacement from xvhshmkxs.
1/84
What is prob of picking 1 s, 1 u, and 1 p when three letters picked without replacement from ubebfbebespbfee?
1/455
Four letters picked without replacement from {e: 4, q: 1, z: 8, a: 7}. What is prob of picking 4 z?
14/969
Calculate prob of picking 1 m and 2 i when three letters picked without replacement from imimmmmmimmmmmmimmmm.
8/95
Calculate prob of picking 1 d and 1 i when two letters picked without replacement from iiidiiiiiiddddii.
11/24
Two letters picked without replacement from {i: 8, p: 3, y: 5}. What is prob of picking 2 i?
7/30
Two letters picked without replacement from lqloqqfhttt. Give prob of picking 1 o and 1 f.
1/55
Calculate prob of picking 2 x when two letters picked without replacement from {j: 2, x: 3}.
3/10
Two letters picked without replacement from wdkqttqwkqqkkk. Give prob of picking 1 t and 1 d.
2/91
What is prob of picking 4 g when four letters picked without replacement from gggggggggkkg?
14/33
What is prob of picking 2 o when two letters picked without replacement from cccoccccclcocc?
1/91
Three letters picked without replacement from kcqkckkxkxccclqcqqic. Give prob of picking 1 c, 1 i, and 1 x.
7/570
Calculate prob of picking 1 i and 3 r when four letters picked without replacement from {v: 1, g: 1, r: 4, i: 1, h: 1}.
2/35
Calculate prob of picking 1 i, 1 v, and 1 h when three letters picked without replacement from {i: 4, j: 2, h: 3, v: 1}.
1/10
Three letters picked without replacement from tdbbddtbd. Give prob of picking 3 d.
1/21
Four letters picked without replacement from {b: 6}. Give prob of picking 4 b.
1
Calculate prob of picking 2 d when two letters picked without replacement from {q: 9, d: 7}.
7/40
Three letters picked without replacement from {m: 1, o: 4, e: 8, u: 7}. What is prob of picking 2 u and 1 m?
7/380
Calculate prob of picking 1 d, 1 v, and 1 s when three letters picked without replacement from vvhdhhhhvsvtdavtv.
3/170
Two letters picked without replacement from {h: 11, k: 3}. What is prob of picking 2 k?
3/91
What is prob of picking 3 c when three letters picked without replacement from nicciicuuuuuicuici?
5/408
Four letters picked without replacement from aaaaaaa. What is prob of picking 4 a?
1
Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {j: 5, r: 2}.
10/21
What is prob of picking 4 l when four letters picked without replacement from {s: 1, l: 7}?
1/2
What is prob of picking 2 n when two letters picked without replacement from {n: 9, j: 10}?
4/19
Two letters picked without replacement from {s: 5, e: 1, o: 2, f: 1, q: 3}. Give prob of picking 1 e and 1 q.
1/22
Calculate prob of picking 1 p, 1 z, 1 k, and 1 s when four letters picked without replacement from {z: 1, k: 6, s: 6, p: 4, i: 1}.
4/85
What is prob of picking 1 z and 3 g when four letters picked without replacement from {g: 4, z: 3, c: 9}?
3/455
Calculate prob of picking 2 h and 1 v when three letters picked without replacement from {m: 7, h: 3, q: 3, v: 3, j: 1, k: 2}.
3/323
Calculate prob of picking 1 p and 1 r when two letters picked without replacement from ycrprlycjprc.
1/11
Calculate prob of picking 1 r and 1 c when two letters picked without replacement from cgerv.
1/10
Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {o: 1, b: 1, f: 1, m: 1, q: 1}.
1/10
Calculate prob of picking 1 s, 1 x, and 1 f when three letters picked without replacement from xsoxosxfxxxxx.
8/143
Two letters picked without replacement from {h: 3, n: 3}. What is prob of picking 1 n and 1 h?
3/5
Three letters picked without replacement from {r: 1, a: 4, q: 1, w: 4, f: 1, m: 1}. What is prob of picking 1 w, 1 q, and 1 r?
1/55
What is prob of picking 2 x and 1 g when three letters picked without replacement from xxgxgxgx?
15/28
What is prob of picking 1 d and 1 t when two letters picked without replacement from {d: 1, t: 1, o: 5, e: 1, i: 3, g: 2}?
1/78
Calculate prob of picking 1 k, 1 f, 1 b, and 1 y when four letters picked without replacement from ffcyyybffykkyfy.
4/91
What is prob of picking 1 w, 1 j, and 1 p when three letters picked without replacement from wwrpjgs?
2/35
Two letters picked without replacement from ppttpttptpttt. Give prob of picking 2 t.
14/39
Four letters picked without replacement from {m: 4, z: 2, j: 2, c: 2, w: 2}. Give prob of picking 1 z, 2 m, and 1 w.
8/165
Four letters picked without replacement from {n: 1, b: 1, o: 7, a: 3, g: 2}. Give prob of picking 1 g, 1 a, and 2 o.
18/143
What is prob of picking 1 n and 1 v when two letters picked without replacement from qeegeven?
1/28
Two letters picked without replacement from errbeeeeb. What is prob of picking 2 b?
1/36
What is prob of picking 4 o when four letters picked without replacement from iiiooiiiiioiiiiooiii?
1/969
Two letters picked without replacement from {s: 1, o: 2, r: 6, d: 2, f: 1}. What is prob of picking 1 o and 1 f?
1/33
Calculate prob of pick | {
"pile_set_name": "DM Mathematics"
} |
7?
False
Does 6 divide 29727?
False
Is 76579 a multiple of 130?
False
Is 346 a factor of 188129?
False
Is 364 a factor of 87254?
False
Is 13083 a multiple of 26?
False
Does 28 divide 303156?
True
Is 356669 a multiple of 109?
False
Does 4 divide 81908?
True
Is 479 a factor of 6316094?
True
Does 602 divide 569285?
False
Does 339 divide 1952301?
True
Is 5769590 a multiple of 419?
False
Is 8708 a multiple of 94?
False
Is 77 a factor of 34315?
False
Does 48 divide 3863280?
True
Is 44 a factor of 8173396?
True
Is 14283197 a multiple of 9?
False
Is 13 a factor of 351598?
True
Does 906 divide 7814250?
True
Is 39 a factor of 21099?
True
Does 17 divide 132543?
False
Is 667 a factor of 1729531?
True
Does 3 divide 908579?
False
Is 13865 a multiple of 24?
False
Does 974 divide 2552986?
False
Is 6 a factor of 12042?
True
Is 8186906 a multiple of 18?
False
Is 734080 a multiple of 2480?
True
Is 1196937 a multiple of 189?
True
Is 3206199 a multiple of 141?
True
Does 35 divide 60128?
False
Is 118809 a multiple of 43?
True
Does 79 divide 50955?
True
Is 304 a factor of 14170146?
False
Is 625 a factor of 4459375?
True
Does 19 divide 48944?
True
Is 20 a factor of 135096?
False
Is 262934 a multiple of 34?
False
Is 15028989 a multiple of 19?
False
Is 25 a factor of 20189?
False
Does 10 divide 574900?
True
Does 12 divide 100447?
False
Is 10 a factor of 1021290?
True
Is 567856 a multiple of 38?
False
Is 12616271 a multiple of 1218?
False
Is 29810 a multiple of 69?
False
Is 9 a factor of 65536?
False
Is 35 a factor of 1279390?
True
Does 28 divide 1905008?
True
Is 424932 a multiple of 21?
False
Is 9186758 a multiple of 265?
False
Is 38406 a multiple of 222?
True
Is 2304888 a multiple of 411?
True
Does 64 divide 3142464?
True
Does 47 divide 444771?
False
Is 313932 a multiple of 3?
True
Is 28 a factor of 30995?
False
Is 2282400 a multiple of 400?
True
Is 26 a factor of 273156?
True
Is 129 a factor of 1806?
True
Does 14 divide 12765?
False
Does 17 divide 1401019?
False
Does 19 divide 391476?
True
Is 2966979 a multiple of 183?
True
Does 5 divide 158586?
False
Does 203 divide 1848924?
True
Is 340046 a multiple of 107?
True
Is 1519854 a multiple of 50?
False
Is 3 a factor of 145756?
False
Does 10 divide 46207?
False
Does 185 divide 7470200?
False
Does 3 divide 51861?
True
Does 283 divide 9022040?
True
Does 14 divide 5084198?
True
Does 819 divide 2790483?
False
Does 85 divide 1719069?
False
Does 764 divide 4191399?
False
Does 154 divide 12222210?
True
Is 804 a factor of 814452?
True
Is 18 a factor of 7569473?
False
Is 23 a factor of 31139?
False
Is 9180 a multiple of 16?
False
Is 61404 a multiple of 119?
True
Is 8 a factor of 757199?
False
Is 102306 a multiple of 51?
True
Does 200 divide 179000?
True
Is 23 a factor of 2119088?
False
Is 68593 a multiple of 17?
False
Is 31 a factor of 14828428?
False
Does 17 divide 22117323?
True
Is 48 a factor of 143568?
True
Is 133 a factor of 668857?
True
Is 23 a factor of 453625?
False
Does 135 divide 1546661?
False
Is 40334 a multiple of 43?
True
Is 97 a factor of 492209?
False
Is 19 a factor of 58217?
False
Is 257 a factor of 2407529?
False
Is 10 a factor of 1403?
False
Does 473 divide 1440758?
True
Is 13 a factor of 23673?
True
Is 11 a factor of 150373?
False
Is 8167797 a multiple of 89?
True
Is 313135 a multiple of 55?
False
Is 192889 a multiple of 19?
False
Is 340546 a multiple of 69?
False
Does 76 divide 7551968?
True
Is 944991 a multiple of 74?
False
Is 2 a factor of 4128643?
False
Does 113 divide 236418?
False
Is 500449 a multiple of 21?
False
Is 171 a factor of 479655?
True
Does 9 divide 109026?
True
Does 77 divide 182728?
False
Is 840690 a multiple of 18?
True
Is 8 a factor of 58218?
False
Does 24 divide 113784?
True
Does 209 divide 165130?
False
Is 399 a factor of 482358?
False
Does 39 divide 370461?
True
Is 1221 a factor of 6689279?
False
Is 471 a factor of 149530?
False
Is 864880 a multiple of 76?
True
Is 89 a factor of 826336?
False
Is 30300 a multiple of 20?
True
Is 5381240 a multiple of 219?
False
Is 57 a factor of 176586?
True
Is 833 a factor of 17016007?
False
Does 21 divide 4371040?
False
Does 14 divide 258608?
True
Does 14 divide 4317045?
False
Is 38 a factor of 11257690?
True
Is 10 a factor of 565050?
True
Is 687200 a multiple of 82?
False
Does 14 divide 5821606?
True
Is 94 a factor of 92862?
False
Is 380 a factor of 155040?
True
Is 183396 a multiple of 31?
True
Does 2 divide 131815?
False
Is 9168 a multiple of 8?
True
Is 185 a factor of 489510?
True
Is 3 a factor of 41900?
False
Is 14 a factor of 219229?
False
Is 3 a factor of 198168?
True
Is 3596225 a multiple of 21?
False
Is 230484 a multiple of 340?
False
Is 4792920 a multiple of 165?
True
Does 7 divide 8000127?
False
Is 950320 a multiple of 430?
False
Is 5 a factor of 470530?
True
Does 6 divide 3450648?
True
Is 6321252 a multiple of 21?
True
Is 436752 a multiple of 9?
True
Is 41 a factor of 49036?
True
Is 667843 a multiple of 109?
True
Is 3644474 a multiple of 52?
False
Does 45 divide 15435?
True
Does 20 divide 39506?
False
Is 35 a factor of 175496?
False
Does 23 divide 10469255?
True
Is 3 a factor of 1469479?
False
Does 2 divide 76936?
True
Is 822248 a multiple of 502?
False
Is 151 a factor of 80483?
True
Is 42813 a multiple of 67?
True
Does 763 divide 1454615?
False
Is 350 a factor of 141750?
True
Is 325237 a multiple of 12?
False
Is 192357 a multiple of 32?
False
Does 586 divide 1347800?
True
Does 5 divide 283710?
True
Is 93088 a multiple of 25?
False
Is 56 a factor of 7882824?
False
Is 191 a factor of 19846?
False
Does 395 divide 4980933?
False
Is 6080 a multiple of 4?
True
Does 26 divide 214500?
True
Is 1472 a factor of 18520842?
False
Does 16 divide 474064?
True
Does 9 divide 110459?
False
Does 5 divide 109599?
False
Does 251 divide 35181164?
True
Is 551316 a multiple of 84?
False
Is 37 a factor of 546098?
False
Does 4 divide 1753?
False
Does 38 divide 1112929?
False
Is 216040 a multiple of 11?
True
Is 5 a factor of 42696?
False
Is 8 a factor of 934210?
False
Is 502463 a multiple of 3?
False
Does 3 divide 1371622?
False
Does 74 divide 37296?
True
Is 23633298 a multiple of 1014?
True
Is 5058320 a multiple of 1060?
True
Is 333 a factor of 1142897?
False
Does 39 divide 4076943?
True
Does 37 divide 3807607?
False
Is 730 a factor of 794970?
True
Is 16 a factor of 39088?
True
Is 4819 a multiple of 79?
True
Is 20 a factor of 47362?
False
Is 5091543 a multiple of 24?
False
Does 3 divide 189?
True
Is 12 a factor of 273125?
False
Is 435021 a multiple of 810?
False
Is 4942476 a multiple of 396?
True
Does 38 divide 835050?
True
Is 10014408 a multiple of 426?
True
Is 12 a factor of 244481?
False
Is 8 a factor of 1001485?
False
Is 139 a factor of 3893931?
False
Is 185538 a multiple of 102?
True
Is 193666 a multiple of 33?
False
Is 5 a factor of 2131087?
False
Does 10 divide 93920?
True
Is 24564 a multiple of 267?
True
Does 95 divide 690460?
True
Is 583 a factor of 576888?
False
Does 58 divide 128238?
True
Is 15 a factor of 65805?
True
Does 5 divide 130225?
True
Is 15 a factor of 12258045?
True
Does 29 divide 132588?
True
Does 28 divide 1045137?
False
Does 58 divide 31468654?
True
Does 107 divide 170879?
True
Is 105034 a multiple of 86?
False
Is 235065 a multiple of 13?
False
Is 290900 a multiple of 100?
True
Does 1937 divide 13865750?
False
Is 135 a factor of 206280?
True
Is 952 a factor of 1264256?
True
Is 685055 a multiple of 529?
True
Is 46577 a multiple of 216?
False
Is 27510 a multiple of 30?
True
Does 73 divide 184510?
False
Does 13 divide 452613?
False
Does 113 divide 1256560?
True
Is 1219495 a multiple of 405?
False
Is 32526 a multiple of 30?
False
Does 9 divide 172811?
False
Is 499802 a multiple of 424?
False
Is 15 a factor of 119243?
False
Is 17 a factor of 210855?
False
Does 31 divide 1100965?
True
Does 394 divide 2017674?
True
Is 447575 a multiple of 124?
False
Is 587732 a multiple of 18?
False
Is 522041 a multiple of 12?
False
Does 13 divide 1411437?
False
Is 26 a factor of 8762?
True
Is 1574360 a multiple of 19?
False
Is 20 a factor of 33457?
False
Is 134 a factor of 248972?
True
Is 265 a factor of 206965?
True
Is 3291175 a multiple of 25?
True
Is 1058258 a multiple of 1072?
False
Is 3 a factor of 4405?
False
Does 1083 divide 10730253?
False
Does 17 divide | {
"pile_set_name": "DM Mathematics"
} |
n - 8 for n.
5
Let o(s) = 7*s**2 + s + 1. Suppose -2*b - 3 = -5*b. Let r be o(b). Suppose 0 = -r*t + 5*t. Solve 3 = -t*c + c for c.
3
Let a = 248 + -244. Solve -14*i + a = -15*i for i.
-4
Let h(p) = -p**3 - 5*p**2 - p + 14. Let r be h(-4). Suppose 5*y - 4*z = 121, 3*z + 16 = y - 6. Solve r*q + 3*q + y = 0 for q.
-5
Let y = 22 + -26. Let q = y - -8. Solve -5*m - q = -m for m.
-1
Let l be 5 + -7 + -2 + (29 - 1). Let u be (-3 + 2)/((-6)/l*2). Solve -a = u*a - 6 for a.
2
Let h = -838 + 843. Solve -h + 14 = 3*n for n.
3
Suppose 4*h = k - 14, 5*k - h = 43 - 11. Let i be 21/(-15) + (-9)/15 + k. Solve 5 = -l - i*l for l.
-1
Let h(w) = 5*w**3 + 11*w - 9*w**2 - 6*w**3 + 6*w**2 + 6*w**2. Let t be h(5). Solve 3*a + t = 2*a for a.
-5
Suppose 250 = 5*d - 5*o, -3*o = -5*d + o + 251. Let n = d - 51. Solve 4*t + 0*t = n for t.
0
Suppose -13*u + 18*u + 155 = 0. Let p = u + 40. Suppose -7 = -3*b + 4*f, 0*f + p = b + 2*f. Solve -b*i = -0*i + 15 for i.
-3
Let p = 40 + -33. Suppose 1 = -p*z + 15. Solve z*b - 6 - 4 = 0 for b.
5
Let a = 164 + -137. Let f(p) = p**2 - 28*p + 28. Let b be f(a). Solve -2 = -u - b for u.
1
Suppose 4*l - 12 = l. Suppose 0 = -3*d - 0*d - 6, l*d + 7 = -y. Let g be (-2 + 2)/(1 + y). Solve g*i = i - 2 for i.
2
Let x(d) = 10*d + 10. Let a be x(-1). Solve -4*c + 13 + 7 = a for c.
5
Suppose -5*a + 420 = -0*a. Solve -15 = -a*w + 87*w for w.
-5
Suppose 12*x + 420 = -2*x. Let a be -5 - 144/x - 31/(-5). Solve -w = -a*w for w.
0
Let w(h) = h**2 - 5*h - 18. Let d(p) = -p - 10. Let x be d(-18). Let b be w(x). Solve 5*r - 16 = -b for r.
2
Suppose -12*a + 17 = -10*a + 3*k, -3*k = 4*a - 19. Solve d + a - 5 = 0 for d.
4
Let t(u) = -2*u**3 + u**2 + 3*u + 1. Let x be t(-2). Let f = x - 14. Let a = f - -8. Solve 0 = -4*o + 1 - a for o.
-2
Let b = -240 - -250. Solve 0 = 7*l - 5*l + b for l.
-5
Suppose -3*n + 1120 = 37*n. Solve -7*b = -0*b - n for b.
4
Suppose 0 = -3*b + 3, 3*a + 3*b - 3 = 7*a. Suppose -23*j = -99*j + 304. Solve a - j = -h for h.
4
Let c = -231 + 265. Solve 33*s - c*s = -1 for s.
1
Let v = -4 - -7. Suppose z + 6 = 5. Let o be (-2 - (z - -2)) + 7. Solve v*x - o = x for x.
2
Let r be (-9 + (5 - -4))/(-1). Solve -z + 2*z - 5 = r for z.
5
Let h(z) = z**3 - 3*z**2 + 3*z - 2. Let l be 11/(-33) + (-14)/(-6). Let y be h(l). Solve -g + y*g - 3 = 0 for g.
-3
Suppose -2*w + 4*k = -68, -w = -0*k + 3*k - 49. Solve r + 36 - w = 0 for r.
4
Let p be (-36)/(-14)*84/9. Suppose 3*f - p = 3*m, 5*f - 5*m = f + 36. Solve f*v + 6 = 26 for v.
5
Suppose 0 = 6*c - 33 + 3. Let v be (46/(-10) - -5)*c. Let p(r) = 2*r - 5. Let j be p(4). Solve -v*d + j = d for d.
1
Let u(y) = y**2 - 3*y - 2. Let i(v) = -v**2 - 6*v. Let b be i(-5). Let f be u(b). Let z be (-33)/(-6) - 12/f. Solve z*k = k for k.
0
Suppose -57*z + 774 + 1506 = 0. Solve -z + 35 = a for a.
-5
Let n(t) = t**3 + 6*t**2 - t - 3. Let h be n(-6). Let g = 27 + -18. Suppose -d - 3*j - 3 = -g, 3*d = -h*j + 12. Solve -5 = -d*l - 2 for l.
1
Suppose -2*o - 4*k = -32, -209*k = -5*o - 207*k + 128. Solve 0*d + o = -8*d for d.
-3
Suppose 0 = 56*w - 1141 - 2779. Solve 5*f = 75 - w for f.
1
Suppose 0 = -5*f - 20, 5*h - h = -5*f. Let t(w) = -67*w**2 - 15*w - 14. Let d be t(-1). Let k = -61 - d. Solve -2*u - k = h for u.
-5
Suppose -144 = -6*c + 10*c. Let s = 41 + c. Solve 2*n = s*n + 12 for n.
-4
Suppose 3*q - 24 = 3*b, 0 = -0*q - 2*q - 3*b + 6. Solve -11*s + q = -14*s for s.
-2
Let u be -5 + -4 + 3 + 1. Let a be 6/(u/75*-3). Let r = 33 - a. Solve -2*v + r = v for v.
1
Suppose -3*u - 20 = -2*l, 4 = -2*l - 4*u - 4. Solve -4*b = -2*b + l for b.
-2
Suppose 0 = 2*d + t - 3, 7 = d - t + 1. Solve d*a + 9 = 3 for a.
-2
Suppose 0 = 2*f - 4, -7*x - 1 = -10*x + 4*f. Solve -36 = x*h - 48 for h.
4
Suppose 10*k - 8*k - 46 = 5*n, -k + 3*n + 23 = 0. Solve 0 = -8*b + k + 1 for b.
3
Let f(s) = -2*s + 5. Let p(x) = -x + 2. Let u(r) = -4*f(r) + 9*p(r). Let b be u(-5). Suppose -m = -4*k - 1, 4*k - 5*m = 5*k - 5. Solve 8*z - b*z = k for z.
0
Suppose m = -3*m + 100. Solve 23*r - m = 18*r for r.
5
Let c(o) = 3*o - 1. Let r = 0 - -1. Let u be c(r). Suppose 24 - 8 = 4*x. Solve 3*l + x = -u for l.
-2
Suppose -3*y + 5 = 5*w - 7, y - 4 = 5*w. Let p be (-473)/(-99) + (-2)/(-9). Suppose -p*t - 25 = 0, w = v - 2*v - 2*t - 8. Solve -a + 0 = v for a.
-2
Let o(h) = 73*h**2 - 9 + 10*h - 39*h**2 - 33*h**2. Let v be o(-11). Solve -v = -2*l + 4 for l.
3
Let y(b) = -2 - 23*b + 3 + 24*b + 0. Let n be y(8). Solve -n = 4*h - h for h.
-3
Let y(i) = -i**2 + 5*i - 2. Let c be y(4). Let z be (-2 - 4/(-2))*(-1)/c. Solve 0 = -3*f - z*f + 12 for f.
4
Let f = 6 + -5. Suppose -2*i = -9 - f. Suppose -5*r + x - 5 + 2 = 0, i*r = -x + 3. Solve 0 = 5*w - r*w + 25 for w.
-5
Let b(s) = 31*s - 3. Let f be b(2). Solve -63*r - 12 = -f*r for r.
-3
Let i be ((-24)/9)/((140/(-21))/5). Solve -i + 2 = 14*u for u.
0
Suppose 2*r - 3*r + 3 = -3*a, 0 = -5*r - 4*a + 53. Suppose 0 = -3*y + r + 6. Solve -3 = -2*n + y for n.
4
Suppose 2683*g = 2674*g + 144. Solve -3*b + g = 25 for b.
-3
Let q = 10 + -2. Let w = 20 + -17. Let z(n) = 4*n**2 + n. Let h be z(1). Solve 0 = w*f - h*f + q for f.
4
Let d = 140 - 136. Solve d*b - 3 = -19 for b.
-4
Let u be (4/14)/((-17)/(-119)). Suppose 5 = 2*p + 5*s - 8, 2*s = u. Solve p = w + 5 for w.
-1
Suppose 2*t + 30 = 4*b, -2*t + 1 = -1. Suppose -58 = -3*d + 6*l - b*l, 19 = d + l. Solve 3*z - d = -z for z.
5
Suppose 5*h - 21 = 2*h - 3*g, -2*g = -2*h + 2. Suppose -w - 3 = 0, -39 = -3*q + 5*w + 33. Let v = q - 17. Solve -f = -v*f - h for f.
-4
Suppose -18 + 6 = -4*p. Solve -o + 0 - p = 0 for o.
-3
Let i = -197 - -217. Solve -20*l + i = -15*l for l.
4
Let o = 708 + -704. Solve -2*z + o = -z for z.
4
Suppose 3 - 7 = -2*c. Suppose -c*q = 2*q + 4. Let m be 3*(2 - 2 - q). Solve 0*i = -m*i + 9 for i.
3
Let b be 1/(14/(-4) - -4). Let n(m) = -8*m**2 + 4*m - 5. Let k be n(b). Let h = -29 - k. Solve -z = -h*z for z.
0
Suppose -4*d + b = -21, 3*d + 3 = -5*b - 10. Suppose -d*c + 2 = -3*c. Suppose -4 = -n + 1. Solve -c*y + 9 = -n*y for y.
-3
Suppose 2*i = -4*a + 56, -4*a + 16 = -2*a - 2*i. Solve -13*l - a = -16*l for l.
4
Let k = 3 - -3. Suppose 0 = 3*g - k - 6. Suppose -2*m + g*l = 16, 2*m + 3*m - 35 = -5*l. Solve m*p = 5*p + 15 for p.
-5
Let r(s) be the third derivative of s**5/60 - 7*s**4/24 + 3*s**3/2 + 2*s**2. Let w be r(6). Suppose 2*d - w*p + 4 = -2*p, -2*p = -8. Solve d*q = q for q.
0
Let p be (2 + 6/(-3))*93/(-279). Solve 0 = -5*o - p + 10 for o.
2
Let j = 99 - 84. Solve 4*m + 33 = j*m for m.
3
Let s be (2*4/(-40))/((-5)/25). Solve 0 = p + s - 0 for p.
-1
Let q be -3*(-4)/((-24)/74). Let w = 46 + q. Solve -2*b = b - w for b.
3
Suppose 4*v = 3*h + 20, 0 = -3*h - 2*h + 3*v - 15. Suppose 48*j = -3*d + 51*j + 24, 0 = 2*d - 3*j - 21. Solve -d*u - u - 12 = h for u.
-3
Let q(h) = -h**3 - 2*h**2 + 2. Let d be q(-2). Suppose -b - 1 = -d*b. Solve 2*j = b - 7 for j.
-3
Let x = 167 - 162. Solve s + x = 1 for s.
-4
Let o = 2 + -1. Suppose 0 = 6*s + o - 19. Suppose t - 4 = 3*w - 24, -14 = -w + 4*t. Solve -6 = s*r + w for r.
-4
Let u be ((3 - 1) + -6)*-1. Suppose 5*y = -u*m + 22, -y - 18 = -5*m - 5. Suppose -36 = -m*g - g. Solve 4*x - x = g for x.
3
Let r = 14 - 9. Suppose q + 3*k - 8 = 8, 4*q + r*k = 43. Solve 8 + q = -3*f for f.
-5
Let k(v) = 3*v + 10. Let r be k(-5). Let f be ((-10)/(-4))/r*0. Solve f = -2*o - 9 + 3 for o.
-3
Suppose 4*l - 8 = -23*x + 19*x, 4*l = 3*x + 36. Solve 3*d - l*d + 3 = 0 for d.
1
Suppose -175*m + 173*m + 10 = 0. Solve 0*t = m*t for t.
0
Let h(r) = r - 1. Let k be h(1). Suppose 5*w + 20 = 4*x, -2*w - 3*w = x - 5. Solve 2*y + w*y + 4 = k for y.
-2
Suppose 0 = 5*j + t - 69, -t - 23 = -3*j + 3*t. Let y(g) = -g**3 + 14*g**2 - 12*g - 8. Let c be y(j). Solve 0 = z - c + 3 for z.
2
Suppose 2*r - y - 18 = 0, -r - 4*y - y = -20. Let j be ((-9)/(-45))/(2/r). Suppose -4*n - 15 = -5*o + 10*o, o + 19 = -4*n. Solve 2*x - j = o for x.
1
Let j = 34 - 59. Let c = -17 - j. Suppose 2*s - 3*v - 9 = 0, 3*s + 6 - 12 = 2*v. Solve c + s = 4*h for h.
2
Let o(z) = -8*z**2 - 107*z - 30. Let u be o(-13). Solve 3 = -6*g - u for g.
-2
Suppose 2*i - 5*i = 5*c - 357, 3*c = -5*i + 211. Solve 0 = c*t - 71*t for t.
0
Let d be (-2)/5 - 17/(-5). Suppose 17 = -2*g + d. Let b be 6/21 - (-2)/g. Solve b*y = y - 2 for y.
2
Suppose -x + 5 = 3. Suppose 3*h = -2*p - 3 + 17, x*p = 2. Suppose h + 10 = 2*g. | {
"pile_set_name": "DM Mathematics"
} |
13/208)?
40/7
Calculate (((-16)/10)/((-14)/(-1995)))/4.
-57
What is the value of (2212/(-474))/(2*2)?
-7/6
What is the value of (100/9)/((-32)/(-6)*(-62)/(-4464)*3)?
50
What is 7/30*1085/1519*33/2?
11/4
Calculate 1691/(-534)*168/(-152).
7/2
Calculate (-1*20/(-8))/((-28)/1680*-30).
5
Calculate 120/168*28*7/(-5)*30/(-1785).
8/17
Evaluate (337/((-417543)/(-531)))/(3/6*3*2).
1/7
What is the value of ((459/816)/((-12)/(-16)))/(12/(-144))?
-9
What is ((-8)/22)/((-10341)/(-1251261))?
-44
Calculate (4812/1604)/(3/(-44)).
-44
Calculate (-9)/14*25732/2026395.
-2/245
What is (6466/(-106))/(-61)*-127?
-127
Evaluate (-13388)/16735*((-14)/(-7))/(2/17*2).
-34/5
4/(-4)*(-1924)/39*(-45)/(-60)
37
Evaluate ((((-609)/14)/29)/((-696)/(-32)))/2.
-1/29
What is ((26/(14534/387))/(24/52))/((-222)/8)?
-2/37
((93/124)/(5/8))/((-22)/(1540/322))
-6/23
(-33116)/5844*24/(-11492)
2/169
Evaluate (-21)/(1785/4)*-34.
8/5
What is ((-136)/(-40))/(((-759)/(-33))/(-230))?
-34
Calculate 20*3/24*1880/38775.
4/33
Calculate ((-8701)/565)/(-7*10*6/600).
22
Calculate (-5)/3*4158/(-419265).
2/121
Calculate (((-16)/(-4))/12)/(2/135*5670/15120).
60
9/(93*(-55)/13640)
-24
Calculate 132/(-1584)*648/(-30).
9/5
What is the value of 6/(13/(910/10))?
42
What is (33936/(-178568))/(((-10)/(-85))/(-2))?
42/13
(((-539)/(-6468))/((-2)/(-12)))/((-119)/(-14))
1/17
What is (2*(-24)/832)/(13/(520/30))?
-1/13
What is (12/(-204)*-51)/(-1*(-924)/8)?
2/77
((-1)/26)/(29/(-696)*4)
3/13
(-128)/((-97280)/1710)*12/39
9/13
Calculate 4/5*40/8*(-92)/8.
-46
Calculate 972274/95858*7*1.
71
What is the value of ((-98013)/(-653420))/(2/(-20))?
-3/2
What is the value of ((-144)/(-15))/(((-4)/(-30))/(168/756))?
16
Evaluate (33/11)/((-3)/(-28)).
28
Calculate (-20)/(-45)*894/(-2980)*(-10)/16.
1/12
Evaluate (-2)/3*3*150*(-38)/380.
30
Evaluate 528/(-165)*5/(((-32)/(-2))/(-4)).
4
What is the value of 170/((8/(-12))/((-22)/4*(-62)/1023))?
-85
What is ((1188/(-55))/(((-12)/2)/30))/(40/20)?
54
Evaluate -9*(-112)/(-3888)*285/(-133).
5/9
Evaluate ((-62)/1240)/(6*2/72*1).
-3/10
Evaluate (-21*1014/728)/(3/(-8)).
78
((-50)/(-3))/((4896/1836)/(16/1))
100
What is the value of (2/1)/(((-1320)/(-470))/(-66))?
-47
What is ((-32758)/62538)/(11/4)?
-4/21
Calculate (20/(-10)*25/50)/19.
-1/19
What is the value of 720/14*110929/95082?
60
What is the value of ((4864/114)/64)/(((-1040)/15)/13)?
-1/8
What is ((-36)/(-396))/(21/(-7))*3?
-1/11
Calculate (-6*(-5)/20)/((-7)/252).
-54
What is the value of (109/(30084/(-184)))/((-2)/(-117))?
-39
Evaluate (32/(-4))/((-1657)/(-11599)).
-56
(-1*1/12)/((39/(-19721)*-37)/(-6))
41/6
What is (3/(-30)*4152/(-5709))/((-5)/(25/6))?
-2/33
Evaluate (((-12)/(-50))/((-342)/570))/((-39)/((-3549)/(-52))).
7/10
Evaluate ((7056/768)/(-49))/((-48)/(-2752)).
-43/4
Calculate (13/(-2))/1*(-121764)/26514111.
2/67
What is ((-1261)/150059)/(6/34)?
-1/21
-86*(-18)/8*328/(-246)*6/(-18)
86
What is the value of (2199/(-733))/(-26*(-3)/(-18))?
9/13
(-677)/(-2708)*(-688)/4
-43
What is the value of (-1078)/147*1104/(-253)?
32
Evaluate ((-4)/(-12)*4)/(131150/(-31476)).
-8/25
What is 11691/59754*12/(-9)?
-6/23
1022/(-730)*(-51)/(-21)
-17/5
2*(-5)/(-76)*5*115/(25875/216)
12/19
What is ((-24)/(-69))/((-353528)/(-18998))?
2/107
What is the value of 16/(-6)*(22/7)/((-3296)/8652)?
22
What is the value of 39*62/(-12896)*8?
-3/2
What is -35*228/120*(-6)/(-57)?
-7
Evaluate (-1976)/(-380)*(-410)/(-11193).
4/21
Evaluate ((-4)/4)/4*(2188/547)/(25*1).
-1/25
What is the value of 9*((-61)/((-9333)/476))/(-2)?
-14
What is (8036/164)/(-49)*(-2)/(-52)?
-1/26
What is (-5)/9*18/60*732/(-2)?
61
((-14)/(-343)*301)/(142/(-994))
-86
Evaluate (-30396)/745*(-80)/(-48).
-68
Calculate 48/(-960)*616*(-100)/(-35).
-88
Evaluate -3*(177/(-36))/((-461)/(-1844)).
59
((1/(-12))/(540/(-80)))/((-141)/(-846))
2/27
Calculate (5/(-180))/((-152)/158688).
29
What is (98/(-56)*(-8)/14)/(-38)?
-1/38
Calculate (-13)/((-26)/4)*(-1)/((-328)/(-8)).
-2/41
What is the value of ((-4480)/(-8))/(-8)*336/784?
-30
172/(-3655)*-17*20/((3/2)/(-3))
-32
What is 4*(-2)/(-1285)*(-4)/1*(-2225)/7120?
2/257
(-69)/27*28152/(-1564)
46
Evaluate 23/((-46)/(-4))*((-462)/(-28))/11.
3
Calculate (((-2)/(-10))/(19*(-88)/1672))/((-1)/265).
53
What is the value of 128*(-55)/(-9680)*-77?
-56
What is the value of (4840/1496)/((-7050)/(-2397))?
11/10
Calculate 42/8*(2/154*11)/((-16)/96).
-9/2
200/125*1025/328*((-2)/1)/24
-5/12
What is (-1310)/6550*165/21?
-11/7
Evaluate 12972/752*132/99.
23
Calculate (-170)/15*(-18465)/2462.
85
(4*12/96*-10)/(50/920*-4)
23
What is the value of (4180/(-22572))/(20/(-168))?
14/9
What is the value of (-41*(-264)/2706)/((-10)/(-16))?
32/5
What is the value of (4/(-15)*(-1056)/1408)/(11/(-1))?
-1/55
Evaluate (-18)/26*(-1833)/141.
9
What is the value of 32410/2778*(6/40)/(10/((-160)/(-1)))?
28
What is (9/(((-2)/2)/((-3)/(-9))))/((-1638)/126)?
3/13
(34/4)/(6420/(-12840))
-17
Calculate (-13*(-132)/(-2288))/((1*(-1)/(-1))/(-68)).
51
What is the value of 2/(((-5)/6)/(-11*(-140)/462))?
-8
Evaluate (3*16/(-252))/((-808)/4545).
15/14
Evaluate 16/(-4)*(2/(-10))/(15/375*85).
4/17
What is 184788/15399*73/(-36)?
-73/3
What is (-2)/(-5)*((855/324)/19)/(184/32)?
2/207
Calculate (-329)/(-141)*(-23)/((-1288)/1440).
60
What is ((-616)/336)/(41/((-1968)/2772))?
2/63
Calculate (71175/520*36/(-15))/(-9).
73/2
Evaluate (-284)/12*-255*191/(-16235).
-71
What is (-2*8/(-36)*5/(-10))/(16/224)?
-28/9
(-469)/(-5)*12739/89173
67/5
What is the value of (9/36)/(998/96806)?
97/4
What is 229/(-229)*(-16)/(-6)*(-228)/(-16)?
-38
Calculate (2052/(-405))/(-19)*235/(-1316).
-1/21
Calculate (11/(-143)*-13*3/18)/((-36)/192).
-8/9
What is ((-4125)/1925*1*(-2)/(-3))/(6/210)?
-50
Calculate (((-72)/(-96))/(-1))/((-3)/108*-15)*5.
-9
What is the value of (((-1971)/162)/(-73))/((-76)/(-96))?
4/19
((-1287)/(-11583))/((-6)/(-2))*-6
-2/9
What is (1956/2282)/((-1)/35)*((-6)/(-1))/(-2)?
90
Evaluate ((-4)/(-51))/4*4189/(-4189).
-1/51
(30/(-20))/(-132*(-9)/(-1296))
18/11
What is (-59080)/844*(-1)/(-3)*6/(-2)?
70
Evaluate ((-315)/(-1170))/(54/4212).
21
What is the value of ((-2289)/3270)/(4/480)?
-84
What is the value of 3344/465234*-53*(3/2)/1?
-4/7
What is the value of (1571724/(-48114))/((-7)/3)?
14
What is the value of ((-2)/2)/1*(100/(-700))/(18/(-700))?
-50/9
5/(150/(-5))*(-25)/(20000/384)
2/25
What is the value of ((-328149)/(-38380))/((-57)/(-36))?
27/5
Calculate (154/1408)/((-21)/6).
-1/32
Calculate 825/(-15750)*84/264.
-1/60
(681/(-16344))/((-3)/(-204))
-17/6
Evaluate ((403596/2376)/(-101))/(-3*1/33).
37/2
What is the value of 28/(((-5920)/(-40))/37)?
7
Calculate (-512)/7904*182/(-56).
4/19
What is the value of ((3753/(-8757))/((-72)/35))/(1/(-4))?
-5/6
-3*14/(-39)*(-610)/(-4270)
2/13
(-33)/((-5)/2*-84*41/14350)
-55
Evaluate (304/22)/((-21104)/(-58036)).
38
What is ((119/(-21))/(41/41))/((-2)/18)?
51
What is the value of (18/6)/((6/(-201))/(168/252))?
-67
What is the value of (135/(-6)*(-38)/(-1140))/(1/36)?
-27
What is the value of 1918/822*36/(-1848)?
-1/22
Calculate 396/33*(-242)/66.
-44
Evaluate -98*67/1876*152/4.
-133
What is -4*(-3)/270*(-5*(-6)/(-18))/1?
-2/27
Evaluate ((-239)/(623790/(-2520)))/7.
4/29
Evaluate (-21)/(-735)*36*(-28)/6*75/(-9).
40
What is the value of (-39644)/748*(6/2)/(-3)?
53
What is 675/11070*41*40/15?
20/3
Calculate (753/2510)/((12/(-60))/(4/(-15))).
2/5
((-6)/375)/((-26)/390)*(-10)/28
-3/35
What is the value of ((-1)/(-8)*104*(-40)/1040)/((-22)/10)?
5/22
Evaluate (6/(-7))/((-89)/1869*34/(-51)).
-27
What is the value of (-4)/((-17)/((-17)/(-12)))*(-579)/9071?
-1/47
What is ((-18908)/33089)/((-8)/(-210))?
-15
Calculate ((-11)/38*128/(-352))/(-1).
-2/19
(-8)/78*-48*(-16)/1536
-2/39
Evaluate 10110/(-1685)*(-24)/(-9).
-16
-5*(5030/(-1006))/(((-25)/4)/5)
-20
Calculate ((36/(-280))/(357/833))/((-6)/95).
19/4
What is ((1/10)/(5/120))/(2*(-5)/75)?
-18
What is the value of 1/(-1)*-4*(-917)/470028*-69?
7/13
Evaluate (168/35)/((-192)/48).
-6/5
Evaluate (-28)/6*(2430/(-3780))/(6/14).
7
Evaluate -11*48/120*(-185)/407.
2
-20*(2/(-3))/((-80)/300)
-50
What is the value of (48/150*20)/(2*(-6)/(24*-5))?
64
Evaluate ((-621)/(-1656))/(6/(-16)*(-10)/1470*7).
21
((-2)/(-10))/(2394/(-40698))
-17/5
Calculate (-227220)/(-439292)*2/5.
6/29
((-23)/(4/4))/((-6670)/1450)
5
7*2*379/((-400603)/1812)
-24
What is the value of (2 | {
"pile_set_name": "DM Mathematics"
} |
igit of 91014883?
8
What is the thousands digit of 424584706?
4
What is the hundreds digit of 4193523651?
6
What is the millions digit of 3237161359?
7
What is the units digit of 211579838?
8
What is the hundred thousands digit of 497299836?
2
What is the hundred thousands digit of 32426844?
4
What is the tens digit of 5485509017?
1
What is the units digit of 1429478844?
4
What is the thousands digit of 685151603?
1
What is the thousands digit of 118541060?
1
What is the hundred thousands digit of 13275342?
2
What is the tens digit of 2631624428?
2
What is the hundreds digit of 1927898667?
6
What is the millions digit of 1960728913?
0
What is the millions digit of 3298843996?
8
What is the ten millions digit of 53176510?
5
What is the units digit of 22146745?
5
What is the millions digit of 42479701?
2
What is the ten thousands digit of 82925427?
2
What is the ten thousands digit of 302078777?
7
What is the thousands digit of 124308458?
8
What is the hundreds digit of 1713979971?
9
What is the hundreds digit of 19618836?
8
What is the hundred thousands digit of 28485282?
4
What is the units digit of 1243758255?
5
What is the units digit of 654966620?
0
What is the hundred millions digit of 250652664?
2
What is the tens digit of 2249716562?
6
What is the billions digit of 1241965951?
1
What is the units digit of 623704122?
2
What is the hundred thousands digit of 109412693?
4
What is the tens digit of 12072560?
6
What is the hundred thousands digit of 7851203674?
2
What is the tens digit of 335609253?
5
What is the ten thousands digit of 681025903?
2
What is the units digit of 70865546?
6
What is the thousands digit of 3027522231?
2
What is the hundreds digit of 315081512?
5
What is the thousands digit of 171128439?
8
What is the hundred thousands digit of 875952324?
9
What is the thousands digit of 5176089523?
9
What is the millions digit of 4404629380?
4
What is the hundred thousands digit of 53349824?
3
What is the ten millions digit of 367686534?
6
What is the ten millions digit of 146109636?
4
What is the millions digit of 10991951?
0
What is the ten thousands digit of 283982048?
8
What is the hundred millions digit of 107921210?
1
What is the thousands digit of 10826016?
6
What is the ten millions digit of 59403671?
5
What is the hundreds digit of 163754538?
5
What is the ten millions digit of 2371567874?
7
What is the tens digit of 66508611?
1
What is the ten thousands digit of 47985505?
8
What is the tens digit of 9025932?
3
What is the tens digit of 99582604?
0
What is the millions digit of 644506456?
4
What is the ten millions digit of 672197715?
7
What is the hundred thousands digit of 767652898?
6
What is the tens digit of 1189489338?
3
What is the units digit of 639337752?
2
What is the ten thousands digit of 82813080?
1
What is the ten thousands digit of 1606049388?
4
What is the hundreds digit of 273818141?
1
What is the millions digit of 2338713032?
8
What is the millions digit of 18817661?
8
What is the hundred thousands digit of 76457621?
4
What is the hundreds digit of 65191852?
8
What is the hundreds digit of 1769509021?
0
What is the ten thousands digit of 19560459?
6
What is the units digit of 1121343161?
1
What is the hundreds digit of 1149897144?
1
What is the ten thousands digit of 564003638?
0
What is the hundreds digit of 117296605?
6
What is the hundreds digit of 32190653?
6
What is the thousands digit of 659477651?
7
What is the hundred millions digit of 1245684043?
2
What is the units digit of 16886147?
7
What is the thousands digit of 802389778?
9
What is the hundreds digit of 3001277568?
5
What is the tens digit of 53898685?
8
What is the ten millions digit of 167226057?
6
What is the ten thousands digit of 1150670627?
7
What is the tens digit of 155654333?
3
What is the hundred millions digit of 1222673673?
2
What is the units digit of 607056056?
6
What is the tens digit of 5208233461?
6
What is the thousands digit of 1759432229?
2
What is the hundreds digit of 139348659?
6
What is the hundred millions digit of 1021766871?
0
What is the thousands digit of 4811395682?
5
What is the ten thousands digit of 79612295?
1
What is the ten thousands digit of 1337940791?
4
What is the hundred millions digit of 558025567?
5
What is the thousands digit of 19740137?
0
What is the tens digit of 30437624?
2
What is the ten thousands digit of 2371239345?
3
What is the millions digit of 6366657475?
6
What is the ten thousands digit of 226487454?
8
What is the units digit of 161792439?
9
What is the billions digit of 5692106440?
5
What is the millions digit of 2398342858?
8
What is the tens digit of 485792626?
2
What is the tens digit of 78032803?
0
What is the tens digit of 5995107?
0
What is the units digit of 6297895?
5
What is the thousands digit of 248798158?
8
What is the thousands digit of 41481342?
1
What is the ten thousands digit of 31275398?
7
What is the ten thousands digit of 18716047?
1
What is the ten thousands digit of 342305930?
0
What is the millions digit of 180163984?
0
What is the ten thousands digit of 157347451?
4
What is the tens digit of 33210621?
2
What is the thousands digit of 367748054?
8
What is the tens digit of 42575111?
1
What is the millions digit of 143765309?
3
What is the hundred millions digit of 141971514?
1
What is the thousands digit of 29065898?
5
What is the thousands digit of 111768410?
8
What is the hundred thousands digit of 128436967?
4
What is the millions digit of 72560253?
2
What is the hundred millions digit of 2203465473?
2
What is the ten millions digit of 2938156811?
3
What is the tens digit of 11037823?
2
What is the hundred millions digit of 184971288?
1
What is the units digit of 451348120?
0
What is the units digit of 55299629?
9
What is the ten thousands digit of 141136722?
3
What is the thousands digit of 87088377?
8
What is the ten millions digit of 223020615?
2
What is the ten millions digit of 3660038413?
6
What is the ten millions digit of 74098308?
7
What is the ten thousands digit of 968202479?
0
What is the hundred millions digit of 158546569?
1
What is the hundreds digit of 1142510649?
6
What is the millions digit of 109556047?
9
What is the ten millions digit of 15800445?
1
What is the billions digit of 3472813633?
3
What is the ten thousands digit of 4099445388?
4
What is the units digit of 212713832?
2
What is the hundreds digit of 39183488?
4
What is the units digit of 2893824079?
9
What is the units digit of 2164358523?
3
What is the tens digit of 77638616?
1
What is the ten millions digit of 35690447?
3
What is the ten millions digit of 166471915?
6
What is the thousands digit of 742810342?
0
What is the millions digit of 6419213908?
9
What is the ten thousands digit of 949666209?
6
What is the hundreds digit of 371140363?
3
What is the hundred millions digit of 126477593?
1
What is the hundred thousands digit of 41372227?
3
What is the thousands digit of 65889920?
9
What is the millions digit of 3332191373?
2
What is the ten millions digit of 274586746?
7
What is the thousands digit of 232113270?
3
What is the hundred thousands digit of 520918014?
9
What is the units digit of 45568477?
7
What is the ten thousands digit of 526040449?
4
What is the hundred millions digit of 2445756370?
4
What is the hundreds digit of 40000017?
0
What is the ten thousands digit of 48581913?
8
What is the hundreds digit of 3879632218?
2
What is the tens digit of 30609638?
3
What is the units digit of 862496465?
5
What is the millions digit of 26836550?
6
What is the units digit of 87092781?
1
What is the hundred thousands digit of 89634987?
6
What is the millions digit of 1230200697?
0
What is the hundred thousands digit of 649431681?
4
What is the hundreds digit of 3364472048?
0
What is the ten thousands digit of 1568609152?
0
What is the millions digit of 59970228?
9
What is the thousands digit of 140589641?
9
What is the units digit of 399454542?
2
What is the hundreds digit of 34399825?
8
What is the hundred millions digit of 1294046706?
2
What is the millions digit of 221020378?
1
What is the thousands digit of 786204930?
4
What is the thousands digit of 76328272?
8
What is the ten thousands digit of 153311155?
1
What is the units digit of 17135071?
1
What is the hun | {
"pile_set_name": "DM Mathematics"
} |
List the prime factors of r.
11
Let j = 37 + -19. What are the prime factors of 2/(-9) - (-130)/j?
7
Let f be ((-4)/(-5))/((-12)/(-630)). Suppose 2*j - f = -j. What are the prime factors of j?
2, 7
Let d be (-5)/30 - 38/(-12). Suppose -d - 3 = -2*y. What are the prime factors of y?
3
Suppose f = 3*f - 4*c - 74, -3*f + 81 = 4*c. What are the prime factors of f?
31
Let x(z) = -z**2 + 1. Let o be x(2). Let k = 0 - o. Suppose 3*r - 43 = -2*p + 6*p, 0 = 5*r - k*p - 57. What are the prime factors of r?
3
Let f(v) = -v**3 - 4*v**2 - 3*v - 6. Let x be f(-4). Suppose -x - 3 = -3*z. Suppose 3 = -z*b + 12. List the prime factors of b.
3
Suppose 14*v - 339 = 11*v. What are the prime factors of v?
113
Let z = -38 - -83. List the prime factors of z.
3, 5
Let h(s) = -s + 3. Let i be h(-13). Let n = i - 1. What are the prime factors of n?
3, 5
Suppose z = -2*r + 5*r - 48, 3 = z. List the prime factors of r.
17
Let q(w) = -4*w - 12. List the prime factors of q(-8).
2, 5
Let b = -13 + 9. Let v = b - -6. List the prime factors of v.
2
Let o be (-5 - -6)*(-2 - -7). Suppose y = -2*h + 43, 5*h = -o*y + 2*h + 215. What are the prime factors of y?
43
Let j(t) be the first derivative of -t**2/2 - 4*t - 3. Let k be j(-5). Let x(b) = 2*b**3 + b**2. List the prime factors of x(k).
3
Let u(d) = d**2 + d - 1. Let f(b) = 4*b**2 + 13*b + 1. Let i(n) = f(n) - 5*u(n). Let o be i(8). List the prime factors of (-5 - -2)*(-8)/o.
2
Let y(n) = -n**3 + 9*n**2 - 6*n - 9. Let f be y(8). Let j(s) = s**3 - 8*s**2 + 6*s + 7. Let h be j(f). Suppose -t + 0*t + 13 = h. List the prime factors of t.
13
Suppose 8*x + 138 = 10*x. List the prime factors of x.
3, 23
Let u(d) = d + 0*d - 13 + 29. What are the prime factors of u(-9)?
7
Let o(d) = d**3 - 10*d**2 - 11*d + 2. Let q = -17 - -28. List the prime factors of o(q).
2
Let k(g) be the second derivative of g**4/12 - 2*g**3/3 - 5*g**2/2 + 3*g. Let x be k(5). Suppose -2*p + p + 8 = x. List the prime factors of p.
2
Suppose 16*z + 558 = 25*z. List the prime factors of z.
2, 31
Suppose 24*j = 27*j - 132. List the prime factors of j.
2, 11
Let q = -12 + 18. List the prime factors of q.
2, 3
Suppose 3*a - 4 = n, -5*n + 6 = -a - a. Suppose -2*i = 5*u - 0*i, 0 = -4*u + n*i. Suppose u = q - 1 - 2. What are the prime factors of q?
3
Let i be ((-10)/8)/(3/(-12)). Let h(c) = -i*c - 3 + 2*c - 6. List the prime factors of h(-6).
3
Suppose -6*g + 4*g = 2*b - 4, g = b - 8. List the prime factors of b.
5
Let l = -5 - -8. List the prime factors of 2/6*126/l.
2, 7
Let s(a) = -69*a + 2. List the prime factors of s(-1).
71
Let t(w) be the first derivative of -w**4/4 + 17*w**3/3 - 8*w**2 + 22*w + 8. List the prime factors of t(16).
2, 11
Let o(y) = y**3 + 6*y**2 + 6. Let g be o(-6). Suppose g*n - 8 = 2*n. Suppose 5*t = v - 20, -n*t = 5*v - 12 - 7. What are the prime factors of v?
5
Suppose 220 = 2*l + 4*p, -3*l - 2*l - p = -514. List the prime factors of l.
2, 3, 17
Suppose 4*a - 207 = -6*q + q, -4*a + q + 213 = 0. List the prime factors of a.
53
Let b(z) = 1 - 3*z + 4*z - 4*z. Let y be b(2). Let a(g) = -2*g - 7. List the prime factors of a(y).
3
Let b = -62 + 224. What are the prime factors of b?
2, 3
Suppose -165 = -5*k - 5*z, -k + 4*k - 103 = -4*z. What are the prime factors of k?
29
Let j(i) = 60*i + 2. List the prime factors of j(2).
2, 61
Let u(r) = r**3 - 8*r**2 + 8*r - 4. Let j be u(7). Suppose -4*c - c + 4*y = -137, j*y - 122 = -4*c. What are the prime factors of c?
29
Suppose -55 = -o + v + 160, 2*v = -3*o + 645. What are the prime factors of o?
5, 43
Suppose 0 = 3*x - 2*x + 4. Let i be 269/5 + x/(-20). Suppose 2*y + f = 22 + 6, 4*y + 3*f - i = 0. List the prime factors of y.
3, 5
Let r(a) = -a**2 + 4*a + 3. Let v be r(5). Let x be ((-1)/(-3))/(v/(-156)). Suppose -x = -2*w - 10. What are the prime factors of w?
2
Let n be (-15)/12*(3 - -1). Let g be 52/(-12)*(-3 - 0). Let h = n + g. List the prime factors of h.
2
Let x(s) = -s**2 - 7*s + 9. Let w be x(-7). Suppose -y + 5*c = -14 - w, 3*c + 39 = 2*y. List the prime factors of y.
2, 3
Let a = 12 - 9. Suppose 60 = a*l - l. What are the prime factors of l?
2, 3, 5
Suppose 52 - 214 = -3*c. List the prime factors of c.
2, 3
Let r(x) = 2*x**2 - 2*x - 1. Let n be r(2). Suppose -n*m + 20 = m. What are the prime factors of m?
5
Let v be 1 + 1 + -2 - -2. Suppose v*z - 4*z = 4*c - 10, -5 = 5*z. Suppose 0*y + 15 = c*y. What are the prime factors of y?
5
Suppose -8*j = -1105 - 567. List the prime factors of j.
11, 19
Let g(o) = 26*o**2 - 1. Let x(s) = 27*s**2 - 1. Let n(a) = 7*g(a) - 6*x(a). What are the prime factors of n(-1)?
19
Suppose -4*w + 6 = 2. Let g = 17 - w. List the prime factors of g.
2
Suppose 2*a = 2*j + 184, -j = -a + 2*j + 86. What are the prime factors of a?
5, 19
Let d(v) = 5*v**2 - v - 1. List the prime factors of d(3).
41
Let c = 164 - 60. What are the prime factors of c?
2, 13
Suppose 3*m - 11 - 7 = -3*y, 0 = 4*y - 12. Let j = m + 27. List the prime factors of j.
2, 3, 5
Let d = 1 - 0. Let s = d - -4. What are the prime factors of s?
5
Let s(y) = -y**3 - 13*y**2 + 10. Suppose -2*g - 2*g + 16 = 0, 38 = -2*c + 3*g. List the prime factors of s(c).
2, 5
What are the prime factors of 24 + 201 + -4*(0 - 1)?
229
Let z(n) = 169*n**2 + 8*n + 8. List the prime factors of z(-1).
13
Let i(f) = -18*f**3 - f**2 - f - 1. What are the prime factors of i(-1)?
17
Let n(l) = l**3 + l**2 + 1. What are the prime factors of n(2)?
13
What are the prime factors of 3/(-7) + 150/7?
3, 7
Let l = 4 - -10. List the prime factors of l.
2, 7
Let v be 1/3 + 60/(-18). Let t = v + 19. What are the prime factors of t?
2
Let z(m) be the first derivative of -m**3/2 - m**2 - 3*m + 4. Let k(j) be the first derivative of z(j). What are the prime factors of k(-3)?
7
Let r(g) = -g**2 + 0*g**2 - 3 + 8*g + 2*g**2 - 7*g. List the prime factors of r(-4).
3
Let a(w) be the first derivative of -5*w**2 + 2. Let p be a(-5). Suppose p = 2*b + 3*b. List the prime factors of b.
2, 5
Let m = 47 - 24. Let s = m - 21. List the prime factors of s.
2
Suppose -2*i + 536 = i + 2*t, -3*i + 532 = t. Let g = 42 - 15. List the prime factors of 6/g - i/(-18).
2, 5
Let l be 1 - (-5 + 1 - -2). Let u(x) = 4*x**2 - 3*x - 4. List the prime factors of u(l).
23
Let n = 40 + -29. Suppose 5*x = -y - 2*y - 13, -5*y - x + 15 = 0. Let q = n - y. What are the prime factors of q?
7
Let p(t) = -t - 2. Let s be p(4). Let r = s - -8. Suppose 20 = -r*j + 4*j. What are the prime factors of j?
2, 5
Let l(a) = -a + 4. Suppose k = 8*k + 42. List the prime factors of l(k).
2, 5
Let x be 390/20 + 2/4. List the prime factors of x/8*28/10.
7
Let b be 1 + (3 + 1)/4. What are the prime factors of (-21 - b)*(-3 - -2)?
23
Suppose -5*x - z = -130, 2*x + 0*z = -4*z + 52. What are the prime factors of x?
2, 13
Suppose -4*r = -5*y + 15 - 228, -2*r - 5*y + 69 = 0. List the prime factors of r.
47
Suppose -2*g + 13 = -7. What are the prime factors of g?
2, 5
Suppose -22*j = -32*j + 340. List the prime factors of j.
2, 17
List the prime factors of (-10)/45 - (-245)/9.
3
Suppose 4*v - 18 = o + o, -5*o = -5*v + 20. Suppose -3*f + 10 + v = -4*i, 20 = -5*i + 5*f. Let y = i - -6. What are the prime factors of y?
3
Let t(d) = -d**2 - 13*d - 14. Let y be t(-11). Suppose -3*l = -y*l + 95. What are the prime factors of l?
19
Suppose 31 + 5 = -4*b + 3*g, 3*b + g + 14 = 0. List the prime factors of 3/(0 - b/40).
2, 5
Let y be (-28)/(-3)*9/2. Let d = y + -27. List the prime factors of d.
3, 5
Suppose 0 = 5*c + 2*z + 3*z, -5*z = -2*c + 21. List the prime factors of 4/(24/c)*58.
29
Suppose 3*v - 45 = -5*g + 49, -4*g = 16. List the prime factors of v.
2, 19
Let q(u) = u**2 + u + 26. List the prime factors of q(0).
2, 13
Let d(y) = y**3 + 8*y**2 + 6*y - 2. Let z be d(-5). Suppose -5*r + z = -57. What are the prime factors of r?
2, 5
Let v = 346 - 191. Suppose -7*o = -2*o - v. What are the prime factors of o?
31
Suppose -5*a = -10 - 15. Let r = 24 - a. List the prime factors of r.
19
Let l(a) = -a**3 - 3*a**2 - a - 3. Let f be l(-3). Let n = f - -3. What are the prime factors of n?
3
Let y(q) be the third derivative of q**4/3 + 2*q**2. Let h be y(-3). Let r = -17 - h. What are the prime factors of r?
7
Let q(p) = -3*p**2 + 2. Let l be q(-4). What are the prime factors of l/(-3)*(-3)/(-2)?
23
Suppose -5*b - 12 = | {
"pile_set_name": "DM Mathematics"
} |
of c(g) wrt g.
40*g**3 - 28
Let r(k) = 49 - 93 - k**2 + 44 + k. Let y(p) = 2*p**2 - 1 + 0*p**2 - 6*p - p**2. Let o(t) = -6*r(t) - y(t). Find the first derivative of o(s) wrt s.
10*s
Find the second derivative of -1 - 263*b**2 - 325*b - 23 - 46*b**2 + 24 wrt b.
-618
Let u = 5 - -4. Let i = -7 + u. What is the second derivative of 12*k**2 + 11*k - k + k**i - 3*k wrt k?
26
Let i(w) = -384*w**2 + w - 7. Let p(z) = 1536*z**2 - 4*z + 26. Let x(s) = 26*i(s) + 6*p(s). Find the second derivative of x(y) wrt y.
-1536
Let n(a) = -a + 6. Let r(g) = -1. Let k(w) = n(w) + 3*r(w). Let q be k(3). What is the derivative of -1 + q*i + 0*i + 5*i**3 - 1 wrt i?
15*i**2
Let c(p) be the second derivative of 0*p**5 + 12*p**2 + 0*p**3 + 0*p**4 + 0 + 34*p + 11/30*p**6. Find the first derivative of c(a) wrt a.
44*a**3
What is the second derivative of 2*w**3 + 3*w + 12*w - 8*w**2 - w wrt w?
12*w - 16
Let j(l) be the second derivative of -9/2*l**2 + 3*l + 0*l**5 + 0*l**3 + 0 - 11/30*l**6 + 0*l**4. Differentiate j(r) with respect to r.
-44*r**3
Let d be (((-60)/18)/5)/((-4)/18). What is the third derivative of 12*k**2 + 11*k**4 - 1660*k**d + 1660*k**3 wrt k?
264*k
Let i(g) be the third derivative of 11/24*g**4 - 10*g**2 + 0 - 1/3*g**3 + 0*g. Differentiate i(j) wrt j.
11
Let f(t) = -2*t**3 - 2*t**2 + 2*t + 1. Let p be f(-2). Let r be (-32)/(-14)*(-266)/(-76). Find the second derivative of p*i + 0*i**4 - 3*i**4 + r*i**4 wrt i.
60*i**2
Let k be 2 + -6 + 29 + 0. Let m = k - 11. What is the third derivative of m*f**2 - 3*f**2 - 13*f**3 - f**2 wrt f?
-78
Let w(c) = -c**2 + 7*c - 2. Let u(j) = -583*j**2 - 25*j + 23. Let g(i) = -u(i) - 2*w(i). What is the second derivative of g(o) wrt o?
1170
Let k = -194 - -200. Let n(f) be the third derivative of 0*f + 0*f**4 + 0 - 7/120*f**k + 0*f**5 + f**3 - 8*f**2. Differentiate n(h) with respect to h.
-21*h**2
Let q(c) be the third derivative of 439*c**5/60 + 62*c**3/3 - 89*c**2. Differentiate q(k) wrt k.
878*k
Suppose 0 = 5*d - 25, -59 = -5*w - 5*d - 24. Suppose -3*i = -5*c + w + 1, 0 = -4*c - 4*i + 28. Differentiate -3*p**3 - 2*p**3 + 5 - 11 - p**c wrt p.
-18*p**2
Let f(s) = s**2 + s + 1. Let k = -8 + 6. Let q be f(k). Differentiate -31*t - 3 - t**3 + 0*t**q + 31*t with respect to t.
-3*t**2
Suppose -4*z + 6 - 14 = 0. Let d(y) = -15*y**2 + 4*y. Let i(q) = 15*q**2 - 3*q. Let p(o) = z*d(o) - 3*i(o). What is the second derivative of p(n) wrt n?
-30
Let d(r) be the first derivative of -r**4/4 + 2*r**3 - r**2/2 + 8*r + 3. Let b be d(6). Find the second derivative of -2*s - s + b*s**5 - 2*s wrt s.
40*s**3
Let c(a) = 3*a + 3*a - 13*a**4 - 15 + 13. Let y(x) = 66*x**4 - 30*x + 11. Let u(v) = -22*c(v) - 4*y(v). Find the second derivative of u(h) wrt h.
264*h**2
Find the second derivative of -9*w - 13939*w**2 + 13939*w**2 + 17*w**4 + 11*w**4 - 8*w wrt w.
336*w**2
What is the third derivative of 28*h**2 + 36*h**2 + 1 - 3 - 50*h**2 - 264*h**4 wrt h?
-6336*h
Suppose -5*x - 3*b = -16, -4*b = 2*x - 9*b - 25. Let k(y) be the first derivative of 7 + 2*y**3 - 3 - 6*y**x + 5*y**5. Find the third derivative of k(v) wrt v.
-120*v
Let u(g) be the second derivative of 0 - 9/2*g**3 + 22*g - 33/2*g**2. Differentiate u(f) with respect to f.
-27
What is the second derivative of 153*h**2 - 753*h**2 + 609*h - 192*h wrt h?
-1200
Suppose 7*a = 30 + 348. What is the second derivative of 0*v**3 + 5*v**3 + a*v - 63*v + 15*v**3 wrt v?
120*v
Let a(w) be the second derivative of 3/20*w**5 - 7/12*w**4 + 0 + 0*w**3 + 0*w**2 + 16*w. What is the third derivative of a(u) wrt u?
18
Suppose b - 34 = -11. Find the third derivative of 6*g**4 + 159*g**2 + b*g**4 - 152*g**2 wrt g.
696*g
Let m(b) be the second derivative of -3*b**6/10 + b**4 + b**3/3 - 153*b**2/2 + 4*b + 105. Find the second derivative of m(j) wrt j.
-108*j**2 + 24
Let c(u) = u**2 - 3*u. Let f be c(4). Let n = -1 + f. What is the third derivative of -4*q + q**2 + q + 6*q**5 + n*q wrt q?
360*q**2
Find the third derivative of -46*l**4 - 4*l**2 - 11*l**2 - l**2 - 2*l**3 wrt l.
-1104*l - 12
Let g(c) be the second derivative of c**4/12 - 7*c**3/6 - 7*c**2 + 4*c. Let a be g(9). What is the second derivative of -3*v**4 - 9*v + 3*v**4 - 4*v**a wrt v?
-48*v**2
Suppose 32 = -r + 5*r. Suppose -13*b + 15 = -r*b. Find the second derivative of 24*w + 10*w**b - 12*w - 7*w wrt w.
60*w
Suppose -2 + 22 = 5*r. Let a(i) be the first derivative of -2 + 2 - r*i**3 + 3 - i + 3*i**3. What is the derivative of a(h) wrt h?
-6*h
Let r = 50/7 - 265/42. Let c(q) be the third derivative of 0 + 3*q**2 + 0*q + r*q**3 + 1/8*q**4. What is the first derivative of c(g) wrt g?
3
Let d = -45 - -47. What is the third derivative of 12*b**2 + 13*b**d - 2*b**4 - 19*b**2 + 11*b**2 wrt b?
-48*b
Let z(x) be the first derivative of -x**7/21 + 13*x**4/12 + 13*x - 10. Let v(w) be the first derivative of z(w). Find the third derivative of v(p) wrt p.
-120*p**2
Let f(s) be the first derivative of 137*s**2/2 + 21*s - 209. Find the first derivative of f(k) wrt k.
137
Let k(p) = -6*p**3 + 5*p**2. Let w(x) = -17*x**2 + 17*x**2 + 13*x**3 - 11*x**2. Let v(m) = -5*k(m) - 3*w(m). What is the third derivative of v(q) wrt q?
-54
Let l(z) = -2*z + 12. Let i be l(5). What is the third derivative of -3*m**3 - 4*m**2 + m**i - 8*m**2 - 6*m**3 wrt m?
-54
Let i(q) be the second derivative of -19*q**5/20 - 7*q**4/12 - 95*q**3/2 + 2*q + 79. Find the second derivative of i(t) wrt t.
-114*t - 14
Let s be (-54)/(-12) + 0 + 1/(-2). Let f(l) = -7*l**2 - 5*l. Let y(r) = -6*r**2 - 5*r. Let d(t) = s*y(t) - 5*f(t). What is the second derivative of d(b) wrt b?
22
Let s(z) = -12*z**4 + 33*z**3 + 11*z**2 - 22*z - 291. Let c(w) = -4*w**3 - w**2 + 2*w - 1. Let a(j) = -22*c(j) - 2*s(j). What is the derivative of a(y) wrt y?
96*y**3 + 66*y**2
Let h be ((-1)/2)/((-3)/(-6)). Let s(r) = 7*r**2 + 3*r + 1. Let c be s(h). Find the third derivative of -p**3 - 2*p**2 - c*p**3 + 58*p - 58*p wrt p.
-36
Let y(c) be the second derivative of -17*c**8/56 - 11*c**4/12 - 4*c + 1. What is the third derivative of y(s) wrt s?
-2040*s**3
Find the second derivative of -6*b**2 - 18*b**5 + 2*b + 97*b**4 - 56*b**4 - 41*b**4 - 190 wrt b.
-360*b**3 - 12
Suppose 0 = -2*q + s + 2*s - 26, q - 4*s + 18 = 0. Let k = q + 15. Find the third derivative of -k*a**2 + a - a + a**3 wrt a.
6
Let o = -3 - -7. Let q be 14*o/8*3. Find the second derivative of 21*k**4 - q*k**4 - 6*k - 2*k**5 wrt k.
-40*k**3
Let p(t) = -t**2 - t. Let i(a) = 7*a**2 + 54*a + 216. Let k(u) = i(u) + 6*p(u). Differentiate k(w) with respect to w.
2*w + 48
Let a = 12 + -10. Find the third derivative of 8*t**a - 3*t**5 - 4*t**5 + 0*t**5 wrt t.
-420*t**2
Let u(z) be the first derivative of -109*z**5/5 + 21*z**3 - z**2 + 93. What is the third derivative of u(k) wrt k?
-2616*k
What is the third derivative of -85*t**4 - 24*t - t**2 + 4*t**2 + 0*t**2 + 17*t wrt t?
-2040*t
Let o be (-5 + 1)/(-3 + (-8)/(-4)). Find the second derivative of i**o + 26*i - 27*i + 17*i**4 wrt i.
216*i**2
What is the second derivative of -19*y + 450*y**4 - 2 + 10*y + 88*y + 563*y**4 + 41*y wrt y?
12156*y**2
Let b be (-5)/(75/(-12)*4/10). Let v(r) be the first derivative of 0*r**3 - 4 - 1/4*r**4 + 0*r + b*r**2. What is the second derivative of v(l) wrt l?
-6*l
What is the third derivative of 312*m**4 - 348*m**4 + 146*m**2 - 2*m**5 + 0*m**5 wrt m?
-120*m**2 - 864*m
Let k be 3/3*4 + -376. Let j be 8/(-52) + k/(-52). What is the first derivative of -11*w**3 - j*w**2 + 7*w**2 - 7 wrt w?
-33*w**2
Find the third derivative of -26*a**2 - 549*a**4 + 3 - 2 + 585*a**4 wrt a.
864*a
Let n(q) = -312*q**2 - 51*q + 9. Let h(l) = -311*l**2 - 54*l + 11. Let r(k) = -4*h(k) + 5*n(k). Find the second derivative of r(v) wrt v.
-632
Let p be 2/4*-1*-74. Differentiate 2*v**3 - p - 2*v**3 + 2*v**4 + 31 wrt v.
8*v**3
Let a(l) be the third derivative of l**8/70 + l**4/6 + l**3/3 + 7*l**2. Let x(s) be the first derivative of a(s). Differentiate x(n) with respect to n.
96*n**3
Let z(y) be the third derivative of 5*y**9/504 + 83*y**6/120 + 11*y**5/12 + y**4/8 - 785*y**2. Find the third derivative of z(t) wrt t.
600*t**3 + 498
Suppose 150 = 16*s + 6. Let f(b) be the first derivative of -7*b + 9/2*b**2 + s. Find the first derivative of f(p) wrt p.
9
Let l(f) = -f**3 + 5*f**2 + 5*f + 8. Let v be l(6). Let g = -24 - -30. What is t | {
"pile_set_name": "DM Mathematics"
} |
4*q - o - 5 = 0 for q.
5
Suppose 0 = 4*b - 5*h + 9, 0 = -3*b - h - 0 - 2. Let p = 6 + b. Solve -p*s - 6 = 4 for s.
-2
Let w(s) = s + 5. Let j be w(-3). Suppose -12 + 1 = -3*d - u, 3*u + 11 = j*d. Solve -20 = -d*c - 4 for c.
4
Let p be 15*((-16)/12)/2. Let w = -5 - p. Solve -z = -2*z + w for z.
5
Let n(i) = -i**2 - 4*i + 3. Let g be n(-5). Let q be ((-1)/g*0)/2. Solve -w + q = -4 for w.
4
Suppose h + 4*y - 9 = -0*h, 2*y = 4. Solve -z + h - 5 = 0 for z.
-4
Let i(n) = n**3 - 8*n**2 + 13*n - 37. Let g be i(7). Solve -7 = g*k - 2 for k.
-1
Let z be 2/(1 + 1) - -1. Let p(q) = 6*q - 2 + q**z - 1 + 10. Let r be p(-5). Solve 0 = -0*o + r*o - 8 for o.
4
Let u(g) = 5*g + 2*g - 2*g + g**2 + 6. Let i be u(-4). Solve 0*l = -i*l - 8 for l.
-4
Let v(r) = -6*r - 21. Let h be v(-4). Solve 0 = h*i - 15 - 0 for i.
5
Let o = -35 - -65. Let k be ((-1)/(-2))/(5/o). Let h = k + 9. Solve -n - h = 3*n for n.
-3
Let v be 0/(4/2*-1). Suppose -16 = -2*b + 2*p, 4*b - p = 11 + 6. Solve v*a + b*a = 9 for a.
3
Let v be (42/(-4))/3*-2. Suppose -v - 9 = -4*x. Solve -x*u = -8 - 8 for u.
4
Let j(g) = 5*g - 10. Let l(v) = -v + 1. Let u(a) = -j(a) - 4*l(a). Let n be u(5). Let r be (4 + -9)*1/(-1). Solve -r*z = -4*z + n for z.
-1
Let c = 226 + -119. Let n = -47 + c. Suppose -4*k = -0*k - n. Solve 0 = -0*d + 3*d - k for d.
5
Let p be 1 - (-4 + 2 + -2). Suppose 3*x = -5*v + 9, -4*v + p*v = x + 5. Solve -2*q = -v*q + 2 for q.
2
Let p be (-34)/(-6) + 1/3. Suppose 3*d - 20 = -2*d. Suppose 5*o - d = 16. Solve -r + o*r = -p for r.
-2
Let n = -13 + 13. Solve n*y = -y + 2 for y.
2
Let v be 10/3*3/(-2). Let u = v - -11. Solve 6 + u = 4*w for w.
3
Suppose 0 = -6*o + 11*o - 125. Solve -3*z - o = 2*z for z.
-5
Suppose 75 = 3*o - 2*f, 0 = -0*f + 3*f. Let n(c) = -c**2 - 4*c + 3. Let a be n(-4). Suppose -5*b + 19 = a*t, -5*t = -2*b - 3*t + 14. Solve o = -b*k - 0*k for k.
-5
Suppose 2*l = 5*c - 34, -4*l - 12 = -c - l. Solve 0 = -c*v + 9*v + 6 for v.
-2
Let d = -4 - -7. Suppose -t + 2 = -0*t. Suppose 0 = -2*b - t*b + 4. Solve -b = d*r - 2*r for r.
-1
Let s be 8/6*9/6. Suppose -s*c = -0*c. Solve 2*a - 10 = -c*a for a.
5
Let o(c) = -c**2 + 3*c - 2. Let g be o(2). Let n(r) = -2*r - 17. Let y be n(-10). Solve g*s + 3 = y*s for s.
1
Suppose 6*h - 15 = h. Let k = h + 4. Solve k*t = 2*t - 20 for t.
-4
Suppose 0 = 2*g - 6*g. Suppose 4*f = -g*f. Suppose r = 4*n + 4, r + 3*n + 3 = -f*r. Solve -z = -r*z for z.
0
Suppose 2*b + 4*u - 6 = 0, 0*b + b = -3*u. Suppose -38 = i + 5*c, -b - 12 = 2*i - c. Let s = 28 + i. Solve -5*l - 5 = s for l.
-4
Suppose -3*u = -4*x - x - 4, 3*u - x - 8 = 0. Solve 0 = u*t - 8*t - 10 for t.
-2
Let m = 38 - 33. Solve 2*j - m*j = -12 for j.
4
Suppose 3*w = -5*p + 25, -w - 1 + 4 = -p. Let u(t) = -t + 2. Let l be u(p). Solve l*n - 8 = -2*n for n.
4
Let z = 35 - 30. Solve -z*c = -20 + 5 for c.
3
Let j(z) = 5*z**2 + 8 - 7*z**2 + 6*z**2 - 8*z + z**3 + 3*z**2. Let q be j(-8). Suppose 5*r - 6 = -4*p + 2, -2*r - 4*p = -q. Solve r = k + k for k.
0
Let f = -29 + 29. Solve f = -6*h + 2*h - 8 for h.
-2
Let v(n) = n**2 + 2*n + 10. Let x be v(0). Solve -2*h = -4*h + x for h.
5
Let n = -7 + 11. Let k(o) = -o**3 + o. Let p be k(-3). Solve n*x - 4 = -p for x.
-5
Suppose -4*n = 5*a - n + 39, 5*a + 51 = 3*n. Let u be (-3)/(a/10)*3. Solve 3*g + 2 = -u for g.
-4
Suppose -2*l + 8 = 0, -b + 5*l - 15 = 5. Let f be 7/2 - 3/(-6). Solve b*g + g - f = 0 for g.
4
Let v(d) = -d**3 - 16*d**2 + 17*d + 5. Let c be v(-17). Solve c*r - 1 - 9 = 0 for r.
2
Let i be 8 + -5 + (1 - 0). Solve -12 = -i*h + 4 for h.
4
Suppose -v + 9 = 3. Solve 2*f - v*f + 8 = 0 for f.
2
Let t be 12*(5/3)/(-5). Let w be ((-2)/t)/1*10. Solve 6 = w*p - 4 for p.
2
Suppose -2*v - 9 = 5*j, -4*v - j = -5*j - 24. Suppose 0*s - 2*s = 0. Solve s = v*u - u for u.
0
Let y be 50/8 - (-3)/(-12). Let k(r) = r**2 - 6*r + 7. Let b be k(y). Solve 3*l = b*l for l.
0
Let f(c) = -c + 1. Let h be f(2). Let y be (-18)/3*h/2. Solve -y*j + 6 = -6 for j.
4
Suppose 8*q - q - 7 = 0. Solve 4*g - 5 = -q for g.
1
Suppose 5*y - 12 - 33 = 0. Let i be 5/15*y/1. Solve m - 4 = -i*m for m.
1
Let r be (-9)/(-2)*(-2)/(-3). Suppose s = -r*s - 4. Let f be s/(-2) - (-6)/4. Solve 1 + 1 = -f*c for c.
-1
Suppose f = 3*x - 19 + 5, 24 = 5*x - 2*f. Suppose -2*a + 12 = -x*a + 5*n, 0 = -n + 4. Suppose -a*m + 2*m = -6. Solve -6*j = -m*j for j.
0
Let i = 58 - 46. Solve i = t + 2*t for t.
4
Let w = 24 - 2. Suppose 0 = 3*t - 4*h - w, -3*t = -0*t - h - 19. Solve -2*s + t = -4*s for s.
-3
Let d be 0/((-1 + -1)/(-1)). Let k = 1 - d. Solve k = 5*g - 4 for g.
1
Suppose -4 = -4*g - 4*b, g - 4*g - b = -9. Suppose -4 = 2*y - g*y. Solve 0*z + y = z for z.
2
Let u be ((-4)/(-2))/1 - -1. Suppose -4*d - 52 = -16. Let m be (-3)/2 - d/6. Solve m = u*o - 5*o + 2 for o.
1
Let d(z) = -z + 10. Let q be d(7). Suppose -q*t - o - 2*o - 3 = 0, 5*o = -3*t - 11. Solve 0 = -t*n - 2*n + 10 for n.
2
Let u be (0 - 0)/(0/(-4) - -2). Let l(y) be the third derivative of y**5/60 + y**4/24 + 5*y**3/6 + y**2. Let i be l(u). Solve 3*g = -2 + i for g.
1
Let c = 0 + 4. Suppose 8 = 2*d + c. Let y be (0/d)/(1/(-1)). Solve y*a = -2*a - 4 for a.
-2
Suppose 0*d = 3*d + b - 10, 3*d - 22 = 5*b. Solve -d*z + 8 = -8*z for z.
-2
Let q = -33 + 34. Solve q = -4*d - 7 for d.
-2
Let n be 2*(-4)/(-4) - 0. Solve n*k + 3*k = -5 for k.
-1
Suppose 0 = 5*y - 5*i + 5, 2*i - 2 = 4*y - 0*y. Let z(v) = -v**3 - 5*v**2 - v - 3. Let s = -7 + 2. Let t be z(s). Solve y = -n + t*n for n.
0
Let q(y) be the second derivative of -y**4/12 - 5*y**3/3 - y. Let x be q(-10). Solve x*l + 3 = 3*l for l.
1
Let r be (-40)/(-24) + (4/(-2))/(-6). Solve r*d = d - 1 for d.
-1
Let y be -3 - (17/(-17))/((-1)/(-5)). Solve 2*a = -y - 2 for a.
-2
Let v(x) = x - 5. Suppose -3*y + 24 = 3*c, -2*c + 5*y - 12 = -3*c. Let m be v(c). Solve 3*l - 25 = -m*l for l.
5
Let t(f) be the second derivative of -2*f + 0 + f**2 + 1/6*f**3 - 1/12*f**4 - 1/20*f**5. Let o be t(0). Solve 4*k + o = -2 for k.
-1
Let t(y) = -y - 2. Let a be t(-3). Let d = a - -3. Suppose -4 = 2*m, d*v - 20 = 3*m + m. Solve 0*q + v*q = 0 for q.
0
Let t be 1/1 - 3/(-1). Solve -15 = t*r + 5 for r.
-5
Let g be (-10)/20 + (-30)/(-4). Solve 3*y + g = 1 for y.
-2
Let t = -3 - 1. Let r = t - -7. Suppose 5*i - 11 - 14 = 0. Solve r*b - 2*b = -i for b.
-5
Let w be (-12 - -16)*2/4. Let i be (-49)/(-3) - (-3)/(-9). Solve w*j - i = -2*j for j.
4
Let u = 29 + -29. Solve 3*y + u*y = 15 for y.
5
Suppose 2*k + 2*h = 6*h + 36, 5*h + 9 = -2*k. Solve -f = 3 - k for f.
5
Suppose -3*t - 3*g - 6 = 0, 5*t - 3*g - 10 = 4*t. Suppose 4*s - 9 + t = 0. Solve 3*b + s*b = -5 for b.
-1
Let g be 11/(88/32)*7/2. Solve g*d = 18*d + 12 for d.
-3
Let x(v) = -v**2 + 8*v + 7. Let o be x(9). Let k be 2 - o - -2 - 0. Solve 0*w - k = -3*w for w.
2
Suppose o + 4 = 5. Solve -o = 3*n - 4 for n.
1
Let o be (12/9)/(6/9). Solve 0 = -0*z + o*z + 6 for z.
-3
Let n = -33 - -33. Solve p - 1 = -n for p.
1
Let z = 91 - 59. Let g = -26 + z. Solve -g*m + 3*m = -3 for m.
1
Let m = -6 - -8. Solve b = -0*b - m for b.
-2
Suppose 5*v = 4*v + 5. Suppose 0 = v*i - 2*i - 6. Suppose -c + 0 = -3. Solve i*q - c*q - 4 = 0 for q.
-4
Let y be 0 - (2/2 + -9). Let a be -1 - 1/((-2)/(-6)). Let v = a + y. Solve d = -v*d for d.
0
Suppose 7 = 4*i + 5*m, 1 = -7*i + 2*i - 3*m. Let b = 4 + i. Let q(a) = -a**2 + 3*a - 2. Let g be q(b). Solve g*u - 4 = -4*u for u.
1
Let x be (-2)/(-7) + (-52)/(-14). Solve 2 - 6 = x*j for j.
-1
Let c = -26 + 36. Let p = -8 + 11. Solve c = p*o - 5 for o.
5
Let x be 2/4 + 20/(-40). Solve 0*u - 5*u = x for u.
0
Let g be (-6)/8 - 2/8. Let i = 1 + g. Solve i = -p + 2 + 3 for p.
5
Suppose -3*q + 2*s + 11 = 0, -6*s = -4*q - s + 17. Solve q*j + 2 = -4 for j.
-2
Suppose -5*t = 2*m - 7*m - 5, m = 2*t - 2. Solve m = w + 5 - 6 for w.
1
Suppose 0 = -2*d + 1 + 19. Suppose 0*q - q = -2*s + 7, 5*q = s + d. Suppose 7 + 32 = q*c - 5*b, -5*b = 15. Solve u + c = -u for u.
-4
Suppose -3*g - 10 = 4*r - 2, 12 = -2*g - 4*r. Suppose 2*i + 4*k = g*i - 6, 5*k + 5 = 0. Suppose 4*l - 9 = -i. Solve 4 = l*a - a for a.
4
Suppose 3 - 15 = -3*b. Solve -b*p - 6 = -2*p for p.
-3
Let a(i) = i**2 + 5*i - 3. Let r be a(-6). Let n = 1 + 3. Suppose 0 = n*d - 0 - 8, 13 = y + 5*d. Solve -r + 6 = y*w for w.
1
Let x(c) be the second derivative of c**4/12 - c**3/3 - 3*c**2/2 + 3*c. Let a be x(3). Let g = a + 2. Solv | {
"pile_set_name": "DM Mathematics"
} |
+ 2 wrt c?
660*c**2 - 1704*c*o**2
What is the first derivative of 202*b**3*s - 537*b**3 wrt s?
202*b**3
Find the third derivative of 5*a*c**3 - 5*a*c**2*d**3 - 16*a*c*d**3 + 13*c**3*d**3 + 4*c**2*d wrt c.
30*a + 78*d**3
Differentiate p**3*z**2 + 131*p**3 - 2*p**2*z**2 + 224*z**2 wrt z.
2*p**3*z - 4*p**2*z + 448*z
Find the third derivative of -7*a**3*p**3*s**2 + 81*a**3*p**2*s**3 - 3*a**2*p*s**3 - 3*a*p**3*s**3 - a*p**3*s - 3*a*s**3 wrt a.
-42*p**3*s**2 + 486*p**2*s**3
Find the second derivative of -1378*z**3 + 2*z**2 + 19334*z wrt z.
-8268*z + 4
Differentiate 235*l**3*y - 2*l**3 - 1971*y with respect to l.
705*l**2*y - 6*l**2
What is the first derivative of 2*a**2*f*y**2 + 353*a**2*y**2 + 2*a + 220*f*y**2 - 2*f + y**2 - 2*y wrt a?
4*a*f*y**2 + 706*a*y**2 + 2
Find the third derivative of 21*f**5*i - 10*f**3*i**3 + f**2*i**3 + f**2*i**2 + 22 wrt f.
1260*f**2*i - 60*i**3
Find the third derivative of -466*z**5 - 3*z**2 + 989 wrt z.
-27960*z**2
Find the first derivative of -4765*i + 1366.
-4765
Find the third derivative of -141*i**2*s**3 + i**2*s**2 - 6*i*s**2 + 2*i*s wrt s.
-846*i**2
Find the second derivative of -f**2*g*p - 100*f**2 - 3*f*g*p + 9*f*g + g wrt f.
-2*g*p - 200
Differentiate -811*h*p**3 + 348*h - 2*p wrt p.
-2433*h*p**2 - 2
Find the third derivative of -1426*h**5 - 2*h**2 - 107.
-85560*h**2
Differentiate -2*b*i**2*o - 2*b*i**2 + 125*b*i + 15*b*o wrt o.
-2*b*i**2 + 15*b
Find the first derivative of -a**2 - 5429*a + 3790 wrt a.
-2*a - 5429
Find the second derivative of -11*d**2*n**3 - 7*d**2*n - 2*d**2 + 96*d*n**4 - 2 wrt n.
-66*d**2*n + 1152*d*n**2
What is the second derivative of 5*g*j*o**2 - 2*g*j*o + 2*g*o**4 + 27*g*o**2 + 14*j + 2*o wrt o?
10*g*j + 24*g*o**2 + 54*g
Find the third derivative of -43*k**2*s**3*w**2 - k**2*s**2 - 3*k**2*s + 4*k*s**3*w**3 - 3*s + w**3 wrt s.
-258*k**2*w**2 + 24*k*w**3
Differentiate -3638*m + 1187 with respect to m.
-3638
Find the second derivative of 179*c*n**5 - 11*c*n**4 + 1413*c*n + c - 1 wrt n.
3580*c*n**3 - 132*c*n**2
What is the second derivative of 55*h**4 - 30*h wrt h?
660*h**2
Differentiate 273*k**3 + 2*k + 339.
819*k**2 + 2
What is the derivative of 1743*f*w + w + 189 wrt f?
1743*w
What is the third derivative of 3*n**3*r**2 - 4*n**3*r + 2*n**2 + 13*n*r + 3*r**2 wrt n?
18*r**2 - 24*r
Find the third derivative of -11237*h**2*j**3 + 321*h**2*j**2 - 2*h*j**2 - 6*j**2 - 3*j wrt j.
-67422*h**2
Differentiate p**2*y**2 - 2149*p**2 - y**3 + 248*y with respect to y.
2*p**2*y - 3*y**2 + 248
What is the first derivative of -m*n**3 - 47*m*n - 6*m + 13 wrt n?
-3*m*n**2 - 47*m
What is the derivative of 62*b**3 - 5*b**2*n - 23*n - 9 wrt b?
186*b**2 - 10*b*n
What is the second derivative of 235*v**4 + 6*v - 21 wrt v?
2820*v**2
Find the second derivative of 3*d**5*q*y - 267*d**3*y - d*q*y - 96*y wrt d.
60*d**3*q*y - 1602*d*y
Differentiate -2*r**3 + 3*r**2 - 232*r + 5134 wrt r.
-6*r**2 + 6*r - 232
What is the first derivative of -2*k**2 - 501*k - 344 wrt k?
-4*k - 501
Find the first derivative of 15706*c**4 - 18608 wrt c.
62824*c**3
Find the first derivative of -2*h**2*j - 1225*h**2 + 2416*j wrt h.
-4*h*j - 2450*h
What is the derivative of -26889*c**3 - 20625?
-80667*c**2
Find the third derivative of 33*v**5 + v**4 - 109*v**3 + 12*v**2 + 125*v - 1 wrt v.
1980*v**2 + 24*v - 654
Find the second derivative of -56*f**4 + 2*f**2 + 150*f + 1 wrt f.
-672*f**2 + 4
Differentiate q*w**3*y - 2*q*w**2*y + 35*q*w*y - 2*w**3*y - w**2 - 44*w*y wrt q.
w**3*y - 2*w**2*y + 35*w*y
Find the first derivative of 81*i + 117.
81
Find the third derivative of -43*o**3*p**4 - 119*o**3*p**2 + 10*o**2*p**2 - 2*p**6 wrt p.
-1032*o**3*p - 240*p**3
What is the second derivative of -2*b**5*i**2 + 77*b**5*i - 12*b + 2*i**2 + 11 wrt b?
-40*b**3*i**2 + 1540*b**3*i
What is the second derivative of -2*s*t**3 + 42*s*t**2 + s + 4*t**3 - 7*t wrt t?
-12*s*t + 84*s + 24*t
Find the first derivative of -3194*a + 4372.
-3194
Find the first derivative of -601*f + 164.
-601
Find the first derivative of 34*g - 367.
34
Find the third derivative of -58*l**5 - l**3 + 123*l**2.
-3480*l**2 - 6
What is the third derivative of 23251*p**4 - 8606*p**2 - p wrt p?
558024*p
What is the third derivative of 4047*v**3 + 589*v**2 - v + 3 wrt v?
24282
Find the first derivative of -15*g**4 + 24*g**2*i + 460*i wrt g.
-60*g**3 + 48*g*i
What is the derivative of -2*r**2*v - 165*r**2 + 562*r*v**2 + 6*r - 3*v wrt v?
-2*r**2 + 1124*r*v - 3
What is the second derivative of 2*c**2*h**2*w**3 + 23*c**2*h**2*w + 10*c*h**2*w**2 - c*h**2*w - w**3 wrt c?
4*h**2*w**3 + 46*h**2*w
Find the third derivative of 3343*f**6 - 2*f**5 + 19178*f**2.
401160*f**3 - 120*f**2
What is the second derivative of -k**5 - 233*k**4*z**2 + 235*k*z**2 + z**2 wrt k?
-20*k**3 - 2796*k**2*z**2
Find the third derivative of 99*h*s**5 + h*s**4 + h - 72*s**2 - 2*s + 4 wrt s.
5940*h*s**2 + 24*h*s
Differentiate -q**2*u**3 - 265*q*u**3 + 1204*u**3 + 2*u with respect to q.
-2*q*u**3 - 265*u**3
What is the third derivative of 816*t**5 - 98*t**2 - 2?
48960*t**2
What is the third derivative of -10564*g**6*l**2 - 187*g**2 - 36*g*l**2 wrt g?
-1267680*g**3*l**2
Differentiate v**2 - 84*v + 516 wrt v.
2*v - 84
What is the third derivative of -214*r*w**3 - 171*r - w**2 wrt w?
-1284*r
Differentiate -15763*d**3*w - 76*d**3 + 36*d**2 with respect to w.
-15763*d**3
What is the second derivative of -269*w**3 - 2*w**2 - 8463*w?
-1614*w - 4
Find the third derivative of b**4*i*w + 740*b**4 - 2*b**3*w + 27*b**2*i + 2*b*i*w + 9*w wrt b.
24*b*i*w + 17760*b - 12*w
What is the third derivative of -17*n**3*q**4 - n**3 - n**2 - 40*n*q**4 - 502*n*q**2 - q wrt q?
-408*n**3*q - 960*n*q
Find the third derivative of -682*y**4 + 302*y**2 wrt y.
-16368*y
What is the second derivative of 8523*k**2*n**2*w**2 + 4*k*n**2*w**2 - 2*k*n**2*w + 2*k*n - 20*k*w**2 + 2*n**2*w**2 wrt k?
17046*n**2*w**2
What is the first derivative of -3*i**3*u**2 - 2*i**3*u + 1117*i**3 - 199*u**2 + 2*u wrt u?
-6*i**3*u - 2*i**3 - 398*u + 2
What is the third derivative of -3*b**2*k**4 + 2*b**2*k**2 + b*k**2 + 12*b*k + 6*k**4 wrt k?
-72*b**2*k + 144*k
What is the first derivative of -185*l*m - 8*l - 20 wrt m?
-185*l
Differentiate -32*n*p*x**3 + 2*n*p*x - 4*n*x**3 - 58*p*x**3 - 54*p*x**2 - p*x wrt n.
-32*p*x**3 + 2*p*x - 4*x**3
Differentiate -a**2*c*d - 2*a**2*c - 4*a**2*d + 2*a*c + 100*c*d**2 - 558 wrt d.
-a**2*c - 4*a**2 + 200*c*d
Find the first derivative of 23*b**2 + 23*b - 278 wrt b.
46*b + 23
Find the third derivative of -40*g*q**5*s - 2*g*q**3*s - g*q**2 + 7*g*q*s - 4*g*s - q**3 - 3*s wrt q.
-2400*g*q**2*s - 12*g*s - 6
Find the third derivative of 204*p**2*q**3 + p**2 - 8*p*q**6 + 735*q**2 wrt q.
1224*p**2 - 960*p*q**3
What is the third derivative of 7565*j**3 + j**2 - 4*j - 2069?
45390
What is the second derivative of -47*i**3*o - 3*i**3*r**2 + 4*i**2*o + i*o*r + 5*i*r + 6683*o*r**3 wrt r?
-6*i**3 + 40098*o*r
Find the third derivative of -3*a**5*v - 14*a**4*v + a**3 + 299*a**2*v wrt a.
-180*a**2*v - 336*a*v + 6
Find the second derivative of -309*j**4 + 257*j wrt j.
-3708*j**2
Find the third derivative of 1916*l*m**4 - 17*l - 7*m**2 - 6 wrt m.
45984*l*m
What is the second derivative of -116*o**2*q - o*q + 4*o - q wrt o?
-232*q
Differentiate -5*b**3*p + 176*b**3 - b - p - 33 wrt b.
-15*b**2*p + 528*b**2 - 1
What is the first derivative of -1738*g - 1618?
-1738
Find the second derivative of 1310*h**5 + 957*h wrt h.
26200*h**3
Differentiate -f**2 + 52*f + 101 with respect to f.
-2*f + 52
Find the third derivative of -646*h**6 + h**3 + 20*h**2 + 389 wrt h.
-77520*h**3 + 6
Find the second derivative of -202*q**2 + 201*q.
-404
What is the third derivative of 5757*d**3*p - 51*d**2*p - 148*p wrt d?
34542*p
Find the third derivative of -221*s**3 - 286*s**2 wrt s.
-1326
What is the derivative of -w**3*z + 167*w**3 + 330*w*z**2 wrt z?
-w**3 + 660*w*z
Find the third derivative of 8784*q**6 - 3*q**2 - 680*q.
1054080*q**3
What is the third derivative of -4*l**6 + 68*l**3 + 10*l**2 + 27*l - 2 wrt l?
-480*l**3 + 408
What is the first derivative of 152*j*z**2 - j + 57*z**2 wrt j?
152*z**2 - 1
What is the second derivative of -504*f**2*s**2*z**2 + 8*f**2*z - 2*f*s**2*z**2 - 9*f*s*z**2 wrt s?
-1008*f**2*z**2 - 4*f*z**2
What is the second derivative of 18*h**2*j**2*z**2 + 187*h**2*z**2 + h*j* | {
"pile_set_name": "DM Mathematics"
} |
e second derivative of 3381*k**3*m**2*o + 78456*k**3*m**2 - 2*k**3 + 5312*k**2*o + 1817*k*m*o wrt m?
6762*k**3*o + 156912*k**3
What is the first derivative of -121*k**3*w + k**3 + 5511*k**2*w**2 - 828955 wrt w?
-121*k**3 + 11022*k**2*w
What is the third derivative of 5*m*n**3*y + 1056*m*n**3 + 87*m*n**2*y - m*n**2 - 2*m*n - 37*m*y + m - 190*n**3*y + 3*y wrt n?
30*m*y + 6336*m - 1140*y
Find the third derivative of q**6 + 163347998*q**3 + 117193276*q**2.
120*q**3 + 980087988
Find the third derivative of -1035789336*m**6 - 61071534*m**2 - 2*m + 2 wrt m.
-124294720320*m**3
Find the first derivative of -r**4 - 214*r**2 + 3383*r + 529568 wrt r.
-4*r**3 - 428*r + 3383
What is the third derivative of -177526807*a**6 + 2*a**5 - 25*a**2 + 470137 wrt a?
-21303216840*a**3 + 120*a**2
Differentiate -r**3 + 2225815*r**2 + 6*r - 143193887.
-3*r**2 + 4451630*r + 6
What is the third derivative of -2245*a*k**3 - 784*a*k - 2736*k**3 - 34382*k**2 wrt k?
-13470*a - 16416
What is the second derivative of 131544*h**3*x**5 - h**3*x - 3260*h*x + 137*h - 188*x**5 wrt x?
2630880*h**3*x**3 - 3760*x**3
Find the second derivative of -2*c**2*m**2*t - c**2*m*t - 3*c**2*t - 12158*c*m - 865277*m**2*t wrt m.
-4*c**2*t - 1730554*t
Find the third derivative of 13411697*p**3 - 52143614*p**2 wrt p.
80470182
What is the derivative of 103623*d**2 - 77*d - 249891666 wrt d?
207246*d - 77
What is the second derivative of 370219106*a*x**2 - 5*a*x - 61*x - 1315 wrt x?
740438212*a
Differentiate 7561322*o**4 - 8956244 wrt o.
30245288*o**3
Find the second derivative of -k**2*q**3 + 3184*k**2*q**2 - 8550*k**2*q - 600*k*q**3 - 4*k*q**2 - k*q + 2*k + 2*q**3 - 656*q wrt k.
-2*q**3 + 6368*q**2 - 17100*q
Find the third derivative of -306982*f**3*l**2 - 4*f**3*u**2 - 24276*f**2*u**2 + 2*f*l**2*u**2 + 4*f*l**2 - f*l*u wrt f.
-1841892*l**2 - 24*u**2
Find the first derivative of 2*p*t**3 + 18650883*p*t**2 - 9055078*t**3 wrt p.
2*t**3 + 18650883*t**2
Find the third derivative of -245259244*b**3 + 4337375*b**2 - 38*b.
-1471555464
Find the third derivative of 42591628*s**3 - 53269581*s**2.
255549768
Differentiate -834*i**2*k**2 - 2*i**2 - 428*i*k + 9378313*k**2 with respect to i.
-1668*i*k**2 - 4*i - 428*k
Differentiate 1559591*c*v**3 + 52834949*c - 4*v**2 - 3 wrt v.
4678773*c*v**2 - 8*v
What is the third derivative of -55448204*m**6 - 48871555*m**2 wrt m?
-6653784480*m**3
Find the second derivative of -2*c*r**2*x - 37*c*r*x + c*r*y + 122*c*r - c*x*y + 103*r**2*x*y - 39041*r**2*y - 15*x*y + x wrt r.
-4*c*x + 206*x*y - 78082*y
What is the third derivative of -1529428*m*n**4 + 23*m*n**2 - 3*m*n - 8312*m + 22*n**3 - 3*n**2 - 7 wrt n?
-36706272*m*n + 132
What is the second derivative of 724590601*q**2 - 2*q + 269708096 wrt q?
1449181202
What is the second derivative of 98853*b**3*r**2 - 3*b**3 - 10*b**2*r**3 + 1132*b**2*r - 755*b*r wrt r?
197706*b**3 - 60*b**2*r
Differentiate -43072378*n**4 + 50045311 wrt n.
-172289512*n**3
Find the second derivative of -12104*b**4 + 122*b**3 - 13*b**2 + 224610827*b wrt b.
-145248*b**2 + 732*b - 26
What is the third derivative of 15172413*x**5 + 3*x**2 - 746365*x?
910344780*x**2
Differentiate 40900*a*h - 817021*a*u + 11*a - 6*h*u**2 + 4 with respect to u.
-817021*a - 12*h*u
What is the third derivative of 1162258566*a**3 + 258213950*a**2 - 2 wrt a?
6973551396
Find the second derivative of -1944612*m**5 - 6*m**4 - m - 11505152.
-38892240*m**3 - 72*m**2
What is the second derivative of -6*f**3 + 7202*f**2*h*p + 2*f*h*p + 192682*p wrt f?
-36*f + 14404*h*p
What is the derivative of -64833717*v + 13535906?
-64833717
Differentiate -8032725*b**2*l**2*n + 581191*b**2 + 3*b*n with respect to l.
-16065450*b**2*l*n
Find the third derivative of -47838*j**3*x**3 - 60*j**3 + 4*j**2*x**3 - 205*j**2*x**2 - 2*j*x**2 - 138*x**3 wrt j.
-287028*x**3 - 360
Find the second derivative of -894971*m**2*z**2 - m**2*z - 54928994*m*z - z**2 wrt m.
-1789942*z**2 - 2*z
Find the third derivative of 147*n**3*t**3 + 12250*n**3*t + 724*n**2*t**3 + 3*n**2*t**2 + n*t**3 - 144*t wrt n.
882*t**3 + 73500*t
Find the third derivative of 964*g**3*u - 2196*g**3 + 38169*g**2 - 150*u wrt g.
5784*u - 13176
What is the derivative of -2228542*t**3*u - 4459450*t**3 wrt u?
-2228542*t**3
What is the derivative of 154*w**2 - 19377*w - 10082856 wrt w?
308*w - 19377
Find the third derivative of -21237412*t**3 + 10*t**2 + 216634 wrt t.
-127424472
What is the second derivative of -67792*a**3*b*j**2*l - 1502*a**3*b*l + 2*a**2*b*j - 2*a*b*j*l + 1640*b*j*l**2 - 14*j**2*l**2 wrt j?
-135584*a**3*b*l - 28*l**2
What is the first derivative of -825480*b**2 - 194*b + 321080946?
-1650960*b - 194
What is the second derivative of 216958579*x**2 + 1570*x - 1413 wrt x?
433917158
What is the second derivative of -1208*w**5 - 4*w**3 + 190*w**2 + 191016*w + 11?
-24160*w**3 - 24*w + 380
Differentiate -35418*f**2*r*u**2 + 47*f*r**3*u + 20*r**3*u**2 - 25319*r*u**2 - u**2 wrt f.
-70836*f*r*u**2 + 47*r**3*u
Find the third derivative of -1507*p**4 + 4405*p**3 + 457215*p**2 - 11.
-36168*p + 26430
Differentiate 734*n**4 - 7916*n**3 + 43833203 with respect to n.
2936*n**3 - 23748*n**2
Find the second derivative of -17895835*y**2 - 1237593*y + 6 wrt y.
-35791670
What is the derivative of -1590667*v**4 - 78*v**2 + 206638334 wrt v?
-6362668*v**3 - 156*v
Find the second derivative of -h**4 - 5722*h**3 - 369*h**2 - 2*h + 139413950.
-12*h**2 - 34332*h - 738
What is the second derivative of 554*v**3 - 343676*v**2 + 626818347*v wrt v?
3324*v - 687352
What is the second derivative of -94*j**2*w**2 + 43803018*j**2 + 1760265*j*w**2 + 5*w wrt w?
-188*j**2 + 3520530*j
What is the third derivative of 5879674*n**3*w - 2*n**2*w + 2796*n*w + 23*w - 3 wrt n?
35278044*w
What is the first derivative of -11*i**4 - 64487*i**2 - 132*i - 22068924 wrt i?
-44*i**3 - 128974*i - 132
What is the derivative of -428*l**4 - 247*l**2 + 38145803?
-1712*l**3 - 494*l
What is the second derivative of 235*f**3 + 11295*f**2 + 493*f + 10283?
1410*f + 22590
What is the third derivative of -95430*i*r**3 + 20*i*r**2 + 5*i - 185*r**3 + 47888*r**2 - r wrt r?
-572580*i - 1110
Differentiate -1032546406*i + 815073841 wrt i.
-1032546406
Find the second derivative of 2469*p**5 - 557*p**3 - 91585820*p wrt p.
49380*p**3 - 3342*p
What is the second derivative of 10446*c**4*t**3 - 182*c**2*t**3 + 3*c*t**2 - c*t - 781*t**3 + 384 wrt c?
125352*c**2*t**3 - 364*t**3
What is the second derivative of 6*k**3 + 16843201*k**2 + 40*k - 5043936?
36*k + 33686402
What is the second derivative of -g**2*p**2 + g**2*p + 7916569*g**2 - 1775129*g*p**2 wrt g?
-2*p**2 + 2*p + 15833138
What is the third derivative of 4*k**3*y**3 - k**3 + 10690*k**2*y**3 + 196*k*x*y**2 - 2*k*x*y + 3*x*y**3 + 4*x*y + 26 wrt y?
24*k**3 + 64140*k**2 + 18*x
What is the first derivative of -3138947*a**2 + 39000574 wrt a?
-6277894*a
Find the first derivative of -161897098*o**2 - 178531167 wrt o.
-323794196*o
What is the third derivative of -5799*b**2*g**3*j + 8164*b**2*g**3 - b**2*g**2*j + 2757*b**2*g*j + 3359*b**2 - g**2*j wrt g?
-34794*b**2*j + 48984*b**2
Find the third derivative of 7*p**4 + 597163*p**3 - 882*p**2 + 11076*p wrt p.
168*p + 3582978
What is the third derivative of 10304503*m**3*r**2 - m**2*r**2 + m*r**2 - 5032082*m*r - m + r**2 wrt m?
61827018*r**2
Find the third derivative of -413*g**4 + 107902*g**3 + 1145042915*g**2.
-9912*g + 647412
Find the first derivative of 329*q**2*v**4 + 301229*q**2*v + 2*q**2 + 36263442*q wrt v.
1316*q**2*v**3 + 301229*q**2
What is the second derivative of -1075*j**3*p**3 - j**3 + j**2*p - 3*j**2 - 172171*j*p**3 + 3*j*p - 10*p - 64 wrt p?
-6450*j**3*p - 1033026*j*p
Find the second derivative of -2*p*q**3 + 57*p*q + 85398497*q**3 + 8*q + 188374 wrt q.
-12*p*q + 512390982*q
Find the third derivative of 7334557*u**4 - 14*u**2 - 58243 wrt u.
176029368*u
Find the third derivative of 140155014*i**3 - 114061*i**2 + 27 wrt i.
840930084
Differentiate -11*a**2*m - 15*a**2 - 10120*a - 5*m**4 - 5643*m - 80 wrt m.
-11*a**2 - 20*m**3 - 5643
What is the third derivative of 815*z**6 + 14518*z**3 + 31780601*z**2 wrt z?
97800*z**3 + 87108
What is the derivative of -227949424*c**2 - 127449630?
-455898848*c
What is the third derivative of -2*n*y**4 - 1610*n*y**3 - 3016503*n*y**2 + y**4 + 4*y**3 - y**2 + y - 1 wrt y?
-48*n*y | {
"pile_set_name": "DM Mathematics"
} |
Is m(g) a composite number?
False
Suppose -280*w - 49*w - 188*w = -31233521. Is w a composite number?
False
Suppose 373 = 5*f + 323. Is 1187/(0 - (-5)/f) a prime number?
False
Let m be 8/(-5)*(-6570)/12. Suppose 0 = -5*j + 5*g + 2555, 657 + 876 = 3*j + 5*g. Let k = m - j. Is k composite?
True
Let o be 3/((-48)/(-68)) + (-2)/8. Is ((-25650)/6)/(-5) - o composite?
True
Is (-132)/(-99)*28408095/60 prime?
True
Let s be (64047 - 4) + 1 + -2 + -4. Suppose s = -22*y + 48*y. Is y prime?
False
Let a = 1270299 + -421306. Is a a prime number?
True
Let b = 64191 + -15910. Suppose 0*h + 4*h - 3*k = b, 0 = -2*h + k + 24141. Is h composite?
False
Suppose -5*i = 3*c - c + 9, 12 = 4*c. Is i*12444/(-5) + 4/(-10) a composite number?
True
Suppose -264*m = -68*m - 212152164. Is m a prime number?
False
Let p(l) = -12*l**3 + 15*l**2 - 8*l - 19. Let y be p(8). Let v = 1536 - y. Is v prime?
True
Suppose 5823851 = 48*m - 5091189 - 30448. Is m composite?
True
Let h = -27963 - -70916. Is h prime?
True
Suppose -98*d + 1375018 + 229597 = -1042463. Is d a prime number?
True
Let n = 3871 + -2524. Is -6 - -5*(n + 4) a prime number?
False
Let z(k) be the third derivative of 0 + 89/24*k**4 - 12*k**2 + 0*k - 9/2*k**3. Is z(8) a composite number?
True
Let f(c) = 4*c**2 + 0*c**2 - 181914*c - 5 + 181908*c. Let o(u) = 5*u + 2. Let z be o(2). Is f(z) a prime number?
True
Let i(v) = -9*v**3 - 14*v**2 + 35*v. Let g(w) = 13*w**3 + 21*w**2 - 52*w. Let c(b) = -5*g(b) - 7*i(b). Let a be c(-7). Let r = -111 + a. Is r composite?
False
Suppose 3*l - 26 = 52. Is 42/(-273) + (-38)/l*-15817 a prime number?
True
Suppose 3*w + 0*d - d = 2809, 2*w - 1862 = -2*d. Suppose w = 9*s + 2*s. Is (-9342)/(-10) - 17/s a composite number?
True
Let t = 1322 + 8265. Is t prime?
True
Let g(s) = 111*s**3 + 4*s**2 - 3*s - 9. Let y(b) = b**3 + b**2 - b - 1. Let h(x) = g(x) - 2*y(x). Is h(4) prime?
True
Let l be (54/(-6) - -586376) + 8. Suppose 81790 - l = -45*t. Is t composite?
False
Suppose -18*g + 184674 = -16*g - 2*d, 4*d - 184650 = -2*g. Is g a composite number?
False
Let o(q) = -q**3 + 11*q**2 - 23*q + 11. Let y be o(8). Suppose -y*t + 5052 = -10433. Is t a prime number?
False
Is (-10567160)/(-34) + (-45)/(-255) a composite number?
True
Let c(m) = m**2 + 54*m + 27. Let r be c(-27). Let z = 807 - r. Is z a composite number?
True
Suppose 7*w - 4587 = 166. Is w composite?
True
Suppose 0 = 4*n - i - 17, 3*n + 0*i = 4*i + 29. Suppose 9*p + n = 2901. Suppose 4*t = 4486 - p. Is t prime?
False
Let z be ((-24)/(-9))/(11864/(-1320) + 9). Let m = 1299 - z. Is m a prime number?
False
Let h = 176848 + -112865. Is h a prime number?
False
Let j be (((-16)/6)/4)/((-6)/54). Suppose -3*r - 18 = 3*t, t - 2*t - 3*r = j. Is 4/(-14) + 5295/35 + t composite?
True
Let q(j) = 12*j**3 + j**2 + j + 1. Let h = -33 + 36. Is q(h) composite?
False
Suppose -1016*c + 123866 = -1014*c + 5*w, 2*c - 5*w - 123906 = 0. Is c a prime number?
False
Let x be ((-10)/(-25))/(18/(-20) - -1). Let l be x*(1/(-2) + 1). Let y(j) = 265*j**2 + j - 1. Is y(l) a prime number?
True
Let q(f) = 4698*f**2 - 100*f + 623. Is q(6) composite?
False
Let c(x) = 222*x + 49. Let k be c(8). Is k/(-10)*(-176)/40 a composite number?
True
Suppose 0 = 9*a - 73 - 80. Suppose 22*y - 2065 = a*y. Is y a prime number?
False
Suppose -2*d - 4*q = -305342, -d + 610607 = 3*d - 3*q. Is d a composite number?
False
Suppose 27*k = 22*k - 3*g + 2977977, -2977965 = -5*k - 5*g. Is k prime?
False
Let o = 10121 - 1599. Let c = o - 5913. Is c a prime number?
True
Let i(w) = w**2 - 2*w - 5. Let a be i(3). Let d(m) = -397*m + 6. Let n be d(a). Suppose 3*k - n = 1597. Is k a prime number?
False
Let l be 3 + -3 + 8 + 0 + -3. Suppose -3*r = -4*y - 13862 + 52831, 5*y - l*r - 48710 = 0. Is y a prime number?
True
Is 11431/4 + ((-2)/(-3))/(328/123) a prime number?
False
Suppose -3 = 5*h - 3*a, -h - 5*a + 5 = 2*h. Let j = h - -5. Suppose 2*b + 113 = 3*t + b, -215 = -j*t - 5*b. Is t composite?
True
Let s(v) = 5643*v**2 + 1123*v + 1. Is s(6) a prime number?
True
Suppose -5263 - 19799 = -12*r + 2934. Is r composite?
False
Let z = -105 + 81. Is ((-152)/z)/(5/1005) a prime number?
False
Suppose 62 - 118 = -14*p. Suppose -p*v + 3818 = -3666. Is v prime?
True
Let i = -41743 - -96782. Suppose -i = -2*l - 21*l. Is l prime?
True
Let z = 182 + -163. Suppose -23*a = -z*a - 6316. Is a prime?
True
Let g(t) = 527*t**2 - 3*t + 3. Let v be g(1). Let c = -24 + v. Is c a prime number?
True
Is (8 + (-297)/54)*(-602974)/(-5) a composite number?
False
Suppose 5 = -5*u, 2*t - 171*u - 1612512 = -173*u. Is t prime?
True
Suppose -5*d - 88901 = 28644. Is 12 + -8 - (0 - d)/(-1) a prime number?
False
Let j(f) be the first derivative of -f**3/3 + 15*f**2/2 - 41*f + 8. Let g be j(11). Suppose -q - w + 750 = -0*w, -2*q + g*w + 1515 = 0. Is q composite?
True
Let g = -2374 + 7116. Is g a composite number?
True
Let d(n) = -n**3 + 10*n**2 - 3*n + 57. Let c be d(10). Suppose c*v + 18477 = 30*v. Is v prime?
False
Let w = -405 - -412. Is 794 + (-3 - (w + -5)) a prime number?
False
Let c be (65/(-4))/((-24)/96). Let p = c + -69. Is (6/27*-33)/(p/30) a composite number?
True
Let c = 3506 + -1745. Let f = 362 + c. Is f a prime number?
False
Let o be (3/6*-1)/((-1)/16). Let r be 9*(-5)/((-60)/o). Is (-3)/(-6) - (-1095)/r composite?
True
Suppose -57*g - 2528 = -2*z - 62*g, 5*z - 6289 = 3*g. Is z composite?
False
Let b be (-16)/6*(-134481)/46. Let p = b - 5457. Is p a composite number?
False
Let u = -207130 + 307509. Is u a composite number?
False
Let d(g) = 14*g**2 + 39*g + 20. Is d(103) a prime number?
True
Let t = -193574 - -93079. Let x = 177516 + t. Is x composite?
True
Let h(j) = 438*j + 19. Let y(n) = n + 1. Let r(u) = -h(u) - 4*y(u). Is r(-3) a composite number?
False
Suppose -4*l + 236249 = -3*i, 0 = -14*l + 18*l - 4*i - 236248. Is l prime?
True
Let w(c) = 36433*c + 8923. Is w(78) composite?
False
Let n(k) = 4*k - 60. Let r(f) = -4*f + 59. Let y(p) = -6*n(p) - 7*r(p). Let i be y(12). Is i/(30/(-446))*3 a composite number?
False
Suppose 3*z - 18*o = -14*o + 23025, 2*z - 5*o = 15350. Is (24/(-4) + z)/((-2)/(-2)) a prime number?
True
Let r = 9950 + 2301. Is r prime?
True
Let m = -28154 - -48917. Suppose -3*a - 6*a = -m. Is a prime?
False
Let o be (-4 - -1) + 11 + (-1 - 2). Suppose o*u = -2*m + 2339, u - 3*u - 1147 = -m. Is m a composite number?
True
Let t(d) = 18*d**3 - 3*d**2 + 8*d + 11. Let z be t(8). Suppose 11*q - 91166 = z. Is q prime?
False
Let a = 945016 - 673587. Is a a composite number?
False
Let x = -69 - -72. Suppose -x*d = -2*y + 5, -5*d + 0*d = -3*y + 9. Let z(a) = -15*a**3 - a**2 - 2*a - 1. Is z(d) prime?
True
Suppose -a - 4*m + 1062 = 0, -5*a + 3*m = 1139 - 6495. Let t = 1941 - a. Is t composite?
True
Let l = 686 - 681. Let f(u) = 291*u + 46. Is f(l) composite?
True
Let z(f) = -24 + 288*f + 156*f - 8 - 87*f. Is z(3) prime?
True
Let g(j) = 520*j**2 + 5*j - 83. Is g(6) prime?
False
Suppose 0 = 46*p - 6964229 - 3418937. Is p a composite number?
False
Let o = 350 + -261. Suppose -86*z + o*z - 16527 = 0. Is z a composite number?
True
Suppose 5*z - 5*m = -2657 + 15507, -2*z + 5143 = -3*m. Is z a prime number?
False
Let y be (1/3 + -1)*3 - -15. Suppose -q = x + 1, -3*x = 2*q - 4*q + y. Suppose -q*v + 4*h + 22 + 24 = 0, -20 = 4*h. Is v prime?
True
Let h(k) = -1627*k**3 - 22*k**2 - 119*k - 45. Is h(-4) a prime number?
True
Let m = -8911 + 16670. Is m a composite number?
False
Let b(c) = -115*c + 43. Let r(o) = -4*o - 24. Let x be r(-8). Let j be 880/(-30) + x/6. Is b(j) composite?
True
Let z(w) = -w + 5. Let l be z(-3). Is ((l/3)/(-4))/((-72)/472284) a prime number?
True
Suppose 0 = -4*q + t - 7, 5*q + 7*t - 4*t = 4. Let l(u) = -301*u - 5. Let f(n) = -n. Let k(w) = q*l(w) + 2*f(w). Is k(4) a composite number?
False
Let p be (-455)/(-13)*(-2 + 3)*1. Suppose p*c - 379 = -r + 32*c, 5*r = -c + 1895. Is r a prime number?
True
Let a = -109022 - -248575. Is a composite?
True
Let y = 3174 - 2246. Suppose 5*p - l = -2302, -2*p + 3*l + l - y = 0. Is p/10*2/(-4) prime?
True
Let m(i) = -299*i - 1. Let j(d) = -d + 9. Let v be j(5). Suppose v = l + 20. Is m(l) composite?
False
Let c(o) = -972*o - 471. Let v(d) = -647*d - 314. Let p(y) = -5*c(y) + 7*v(y). Is p(4) prime?
True
Let c be 4/4*10 + -5. Suppose -4*f + 2255 = 5*n + f, -4*n + c*f = -1804. Is | {
"pile_set_name": "DM Mathematics"
} |
- 4*h = 4, -3*h - 12 = 0. Let p(g) = r + 0*g + 2 - 5 + g. Give p(-4).
-5
Let b(u) = -u**2 - 12*u - 14. Let h be b(-10). Let v(r) = -8*r**3 - 2. Let c(w) = 7*w**3 - w**2 + w + 1. Let k(z) = h*v(z) + 7*c(z). Give k(6).
1
Let l(v) be the second derivative of 7*v**3/6 + 3*v**2/2 + 8*v. What is l(-2)?
-11
Let i(k) = k**3 - 6*k**2 - 2*k + 7. Let p be i(6). Let y(s) = -2 - 5 - s**2 + 3*s + 6*s - 15*s. Calculate y(p).
-2
Let y be (-5)/((2/1)/(-2)). Suppose -2*b + y*n - 16 = 0, b + b - 8 = -n. Let q(x) = x**3 + 14*x**b - 15*x**2 + 0 - 1. Give q(2).
3
Let a(b) = 5*b**2 - 5*b - 2. Let p(q) = 36*q**2 - 36*q - 15. Let k(j) = 15*a(j) - 2*p(j). Determine k(2).
6
Let g(m) = -2*m**3 + m**2 + m. Let r = -7 - -6. Let u be g(r). Let o(s) = s**3. What is o(u)?
8
Let t(o) be the third derivative of o**4/12 - o**3/6 + 16*o**2. What is t(-3)?
-7
Let o be 1 - (-2)/4*10. Let f(j) be the first derivative of 1/2*j**2 - 1 + o*j. Calculate f(-5).
1
Let c(i) = -4*i - 3. Let t(d) = -17*d - 13. Let s(p) = 18*c(p) - 4*t(p). Suppose -x - 2*x - 4*j = -14, -2 = x - 2*j. What is s(x)?
-10
Let q(x) = 6*x**2. Let z = 14 + -15. What is q(z)?
6
Let m(y) = -y**3 + 6*y**2 - 3*y - 4. Let f = -37 - -42. What is m(f)?
6
Let a(r) = -r**2 + 8*r - 5. Let s(d) be the third derivative of d**5/60 + d**4/3 + d**3 - 2*d**2. Let w be s(-8). Determine a(w).
7
Let h be (6 + -12)*1/2. Let i = h - -7. Let t(u) = u**3 - u + 7 - 2 - u - 4*u**2. Determine t(i).
-3
Suppose -20 = 3*f + 2*l - 3, -8 = 2*f - 2*l. Let j be 333/45 + 2/f. Let a(p) = p - 2. What is a(j)?
5
Suppose 0 = 2*b, -m - m - 2*b = 0. Let d(p) be the third derivative of 0 - 7/24*p**4 + m*p + 1/60*p**5 + 1/2*p**3 + 3*p**2. What is d(5)?
-7
Let y(i) = 4*i - 2 + 1 + 3*i + 0. Give y(1).
6
Let n(k) be the third derivative of k**5/60 - 7*k**4/24 + k**3/2 + 6*k**2. Calculate n(5).
-7
Let s = 19 + -15. Let r(b) = -2 - 3*b - b + 3*b - 3*b + b**2. Calculate r(s).
-2
Let k = 28 - 27. Let x(g) = -6*g. What is x(k)?
-6
Let n(q) be the third derivative of q**4/24 - 4*q**3/3 + 7*q**2. Determine n(6).
-2
Let x(h) = h**2 - 3*h - 2. Let f(b) = 2*b**2 - 11*b - 2. Let t be f(6). Calculate x(t).
2
Let g be (1/2)/(3/30). Let k(c) = c**2 - 5*c + 3. Let n be k(g). Suppose -n*h + 0 = 9. Let x(b) = b**3 + 3*b**2 + b - 2. What is x(h)?
-5
Let f(v) = -9*v + v**2 + 21 + 22 + 16 - 51. Determine f(8).
0
Let a(d) be the third derivative of d**6/120 + d**5/10 + d**4/12 - 5*d**3/6 - 21*d**2. Calculate a(-6).
-17
Let f(g) = g**3 + 3*g**2 + 2*g - 2. Let u be f(-2). Let y(k) = -k. Let r(b) = 2*b - 2. Let t be r(2). Let h(p) = 4*p. Let j(z) = t*y(z) + h(z). Determine j(u).
-4
Let u = -60 + 60. Let p(z) = -z + 2. Let b(f) = -f. Let t be b(-3). Let i(o) = 2*o - 4. Let n(d) = t*i(d) + 5*p(d). Determine n(u).
-2
Let x = 7 - 2. Let i(z) = -x + 2*z + 5 - 3 + 1. Let a = 8 + -6. What is i(a)?
2
Suppose 2*a = -3*a + 25. Let j(q) be the third derivative of -q**5/60 + q**4/4 - q**3 + 2*q**2. Calculate j(a).
-1
Suppose 4*l = 19 - 3. Suppose b - 2*q + 9 = 3*q, 2*q = -3*b + 24. Let d(s) = s**2 - 3 + 0*s**2 + b*s - 2*s**2. What is d(l)?
5
Let p be (-2)/12 + 50/12. Suppose -5*d = 15, -d - 40 = 5*o + p*d. Let u(a) = a**2 + 8*a + 7. Give u(o).
-8
Let k(p) = 1 - 8*p + 6 + 5 - 11. Determine k(-1).
9
Let k(p) = -p**3 - p**2 + 3*p - 4. Suppose 4*j + r - 39 = 0, 6 = -3*r - 9. Let x(h) = -h + 16. Let o be x(j). Suppose 3*g + 4 + o = 0. What is k(g)?
5
Let y = -94 + 91. Let w(i) = -2*i - 3. What is w(y)?
3
Let a(z) be the second derivative of z**4/12 - 4*z**3/3 + 3*z**2 + 7*z. Calculate a(6).
-6
Let v(y) = -y**3 + 5*y**2 - 2*y - 2. Let w be v(2). Let l(a) = a - 1. Determine l(w).
5
Let w(z) be the second derivative of 1/24*z**4 + 0 + 5/3*z**3 + 2*z + 1/2*z**2. Let j(i) be the first derivative of w(i). Give j(-5).
5
Let c(a) be the first derivative of a**2/2 - a + 7. What is c(-4)?
-5
Let j(u) = -u**3 + 6*u**2 - 3*u - 3. Suppose -s + 7*s - 30 = 0. Give j(s).
7
Let q(c) = -3 + 0*c**2 + 4*c + 4 + 2*c**2 - 4*c**2. Suppose -p - 17 = -4*o, 0*p + 5*o = 5*p + 10. What is q(p)?
-5
Let z(h) = -3*h. Let g(m) = -9*m. Let c(k) = -6*g(k) + 17*z(k). Let x be (-28)/(-12) + (-2)/(-3). What is c(x)?
9
Let v(b) be the first derivative of b - 4 + 1/3*b**3 + 7/2*b**2. Calculate v(-6).
-5
Let o(c) = -c**2 - 4*c + 8. Let x = 30 - 36. What is o(x)?
-4
Let f(l) = l**3 - 6*l**2 + 4*l + 1. Let q be f(5). Let u be (-26)/(-8) - (-1)/q. Let r(m) = -5*m + 3 - m**3 - 4 + u*m**2 - 10*m**2. Calculate r(-6).
-7
Let n(c) be the second derivative of -c**5/20 - c**4/4 - 2*c**3/3 - 2*c**2 - 25*c. What is n(-3)?
8
Let p(a) = 10*a**3 + a - 1. Suppose -2*o + 8 + 0 = 0. Suppose -o*r + 2 = -2. Determine p(r).
10
Let s(i) = i. Let z(y) = -y**2 + 7*y - 3. Let t be z(6). What is s(t)?
3
Let v(h) = h**3 + 3*h**2 - 3*h + 3. Let p be -7 + 1/((-4)/(-12)). What is v(p)?
-1
Let x = 79 + -78. Let j(p) = 4*p**3 + 4*p**3 + p**2 + p**3 - 1. Give j(x).
9
Let u(j) = j**2 + 2*j - 2. Let k(g) = -g**3 - g + 1. Let m(c) = 3*c**3 - 2. Let y(s) = -2*k(s) - m(s). Let f be y(2). What is u(f)?
6
Let m(a) = -21*a + 13*a + 9*a - 2. Let g = -4 + 9. Calculate m(g).
3
Let i be (-15)/9*(-2 - 1). Let z = -1 + i. Let o(w) be the third derivative of w**5/60 - w**4/6 + w**3/2 + 2*w**2. Give o(z).
3
Let r(s) = -s**3 + 2*s**2 - 3*s + 3. Suppose -4*k - 5*n - 12 = 0, -n = 2*n + 12. What is r(k)?
-3
Let y(z) = -8*z - 78. Let g be y(-10). Let c(n) = 2 - 4*n - 2. What is c(g)?
-8
Let r = -23 + 35. Let c = -17 + r. Let i(s) = -4*s - s**2 - 2*s**3 + 6 - 5*s**2 + s**3. Calculate i(c).
1
Suppose 15*n + 11 - 101 = 0. Let b(m) = 2*m - 2. Calculate b(n).
10
Let r(i) = -i + 13. Let j(o) = -1. Let v(h) = 6*j(h) + r(h). Calculate v(0).
7
Let r(i) = -i + 7. Let s be 180/(-3)*(0 - -1). Let m be s/(-4)*(-1)/(-3). Let n = -5 + m. What is r(n)?
7
Let g be 18*(-2 + (-21)/(-9)). Let x(b) = 19*b**2 - g*b - 18*b**2 + 2 + 1. What is x(5)?
-2
Let i(n) = n - 1. Let s(l) = -2*l. Let q be s(-2). Suppose 6 = -q*p - 2. What is i(p)?
-3
Let d = -44 - -36. Let b(h) = -h**3 - 9*h**2 - 10*h - 10. Give b(d).
6
Suppose 0 = a + 5*x - 15, a + a - 6 = -2*x. Let u(j) = -j**2 + 7*j + 13. Let y be u(9). Let f = a + y. Let o(r) = 2*r + 4. Give o(f).
-6
Let b(n) be the second derivative of n**4/4 + n**3/3 - n**2/2 - n. Let v = 316 + -318. What is b(v)?
7
Suppose 14*y = 10*y + 20. Let k(j) be the third derivative of 0*j**y + 1/3*j**3 + 0*j + 1/24*j**4 - 1/120*j**6 + 2*j**2 + 0. What is k(-2)?
8
Let g(u) = 0*u + 3 + u**3 - 2*u + 2*u**2 + 0. Let c be g(-3). Suppose c = -2*k - 5 + 13. Let a(x) = -x + 5. Determine a(k).
1
Let t(p) = p + 2*p**3 + 0*p**3 + 0*p + 0*p. Give t(1).
3
Let m(f) = -f**2 + 5*f - 3. Let p(r) = r**3 - 12*r**2 + 11*r + 4. Let q be p(11). What is m(q)?
1
Let o(k) = k**2 + k + 2. Suppose -m + 19 + 25 = 0. Suppose -2*v + 12 = 2*w - 5*v, -2*w + m = 5*v. Suppose -3*i + 5*y - 3 = -w, -3*i + 2*y = 0. Calculate o(i).
4
Let z(f) = f**2 - 4*f + 3. Let a(v) = -v + 1. Let t(m) = 3*a(m) - z(m). Let p be (-5 - (2 - 3))/(-2). What is t(p)?
-2
Let y(g) = -5*g - 7. Let i(a) = -4*a - 6. Let d(s) = -6*i(s) + 5*y(s). Let m(w) = -4 + 4*w + 5*w**2 + w**3 - 10*w - w**2. Let x be m(-5). Give d(x).
0
Let u(p) = -p + 4. Let d be u(0). Suppose -f - d*a = 4, a + 2 = 1. Let x(h) = 7*h - 15. Let c(b) = -3*b + 7. Let k(s) = -5*c(s) - 2*x(s). Give k(f).
-5
Let n(z) = 65*z - 9 + 2 - 62*z. Determine n(-5).
-22
Let d(c) = -3*c**2 - 7*c + 2*c**2 + 2*c**2 - 6. Let h be d(8). Let w(f) = 0*f**h + f**2 + f + 5*f**2. Give w(1).
7
Let x(i) = -4*i**2 - i. Let t = 3 + 4. Suppose 0*z - z = 4, -2*z = n + t. Calculate x(n).
-5
Suppose -4*m - 63 = -m. Let r = m - -15. Let v(b) = -b**3 - 7*b**2 - 7*b - 9. Calculate v(r).
-3
Let g be -16 - -25 - 1*4. Let o(i) = i**2 - 5*i - 4. Calculate o(g).
-4
Let u = -7 + 10. Let n(x) = x**u - 3*x**2 - 1 - 4*x - 5 + 5. Give n(4).
-1
Let k be (-4)/20 - 1/(-5). Let y(r) = -3 + k + 7*r - 4*r. Let f(a) = 10*a - 8. Let n(x) = -2*f(x) + 7*y(x). Give n(-4).
-9
Let b(h) = 11*h**3 + 23*h**2 + 3*h + 14. Let a(w) = -4*w**3 - 8*w**2 - w - 5. Let g(q) = 17*a(q) + 6*b(q). What is g(2)?
-7
Let k(t) = -t**3 + 5*t**2 + 2*t - 4. Let q be 4/(-22) + 932/44. Suppose 0 = -4*m + g + 20, 4 = 5*m - 2*g - q. Suppose -2*l - m = -3*l. What is k(l)?
6
Let w = -4 + 6. Suppose -4*x = 3*z - w, -z - 12 = -3*x - 2*x. Let v be z + (1 + 17)/3. Let p(j) | {
"pile_set_name": "DM Mathematics"
} |
4, 1073, 98, -1357, -3388?
-16*k**3 + k + 2093
What is the y'th term of -13201, -13278, -13395, -13546, -13725, -13926?
y**3 - 26*y**2 - 6*y - 13170
What is the w'th term of -25117, -25114, -25111?
3*w - 25120
What is the k'th term of -1406, -2809, -4212, -5615, -7018?
-1403*k - 3
What is the l'th term of -263, -282, -307, -332, -351, -358, -347, -312?
l**3 - 9*l**2 + l - 256
What is the f'th term of 2921, 5833, 8741, 11645, 14545, 17441, 20333?
-2*f**2 + 2918*f + 5
What is the y'th term of 445616, 445621, 445626, 445631, 445636?
5*y + 445611
What is the v'th term of 4328, 4317, 4284, 4217, 4104, 3933, 3692?
-2*v**3 + v**2 + 4329
What is the k'th term of -37130, -148494, -334096, -593936, -928014, -1336330, -1818884?
-37119*k**2 - 7*k - 4
What is the l'th term of 16131, 32257, 48383, 64509?
16126*l + 5
What is the h'th term of 27, -45, -153, -297, -477?
-18*h**2 - 18*h + 63
What is the z'th term of 119, 176, 223, 254, 263, 244, 191?
-z**3 + z**2 + 61*z + 58
What is the p'th term of 5005, 20002, 44985, 79948, 124885, 179790?
-p**3 + 4999*p**2 + 7*p
What is the c'th term of 9257, 9178, 9047, 8864?
-26*c**2 - c + 9284
What is the p'th term of 127, 414, 863, 1474, 2247?
81*p**2 + 44*p + 2
What is the z'th term of 946, 1933, 2920, 3907, 4894, 5881?
987*z - 41
What is the i'th term of -743, -1479, -2215, -2951, -3687?
-736*i - 7
What is the g'th term of 405, 427, 459, 501, 553, 615, 687?
5*g**2 + 7*g + 393
What is the h'th term of -1058, -4294, -9682, -17216, -26890?
h**3 - 1082*h**2 + 3*h + 20
What is the l'th term of -5731, -5733, -5735, -5737, -5739?
-2*l - 5729
What is the j'th term of 22, 16, -28, -134, -326?
-4*j**3 + 5*j**2 + 7*j + 14
What is the m'th term of 91, 23, -75, -191, -313, -429, -527, -595?
2*m**3 - 27*m**2 - m + 117
What is the j'th term of 443732, 443737, 443742, 443747, 443752, 443757?
5*j + 443727
What is the o'th term of -6132, -6132, -6166, -6252, -6408?
-3*o**3 + o**2 + 18*o - 6148
What is the a'th term of -1842, -7741, -17692, -31695, -49750, -71857, -98016?
-2026*a**2 + 179*a + 5
What is the t'th term of 67, -34, -199, -428?
-32*t**2 - 5*t + 104
What is the a'th term of 3830, 7692, 11564, 15452, 19362, 23300, 27272?
a**3 - a**2 + 3858*a - 28
What is the m'th term of 10191710, 10191711, 10191712, 10191713?
m + 10191709
What is the s'th term of -15197, -15203, -15209, -15215, -15221, -15227?
-6*s - 15191
What is the h'th term of 2036, 3743, 5450, 7157, 8864?
1707*h + 329
What is the c'th term of 6269, 12483, 18623, 24683, 30657, 36539, 42323, 48003?
-c**3 - 31*c**2 + 6314*c - 13
What is the x'th term of 292, 561, 844, 1147, 1476?
x**3 + x**2 + 259*x + 31
What is the o'th term of -113838, -227677, -341516, -455355?
-113839*o + 1
What is the z'th term of 23, -19, -149, -415, -865, -1547, -2509?
-8*z**3 + 4*z**2 + 2*z + 25
What is the j'th term of 589, 4804, 16253, 38554, 75325?
603*j**3 - j**2 - 3*j - 10
What is the v'th term of -20963, -20978, -21007, -21056, -21131, -21238?
-v**3 - v**2 - 5*v - 20956
What is the t'th term of 663712, 663703, 663680, 663637, 663568?
-t**3 - t**2 + t + 663713
What is the g'th term of -77823, -77818, -77811, -77802, -77791, -77778?
g**2 + 2*g - 77826
What is the k'th term of 2142, 4280, 6416, 8550?
-k**2 + 2141*k + 2
What is the q'th term of -399, -823, -1247, -1671, -2095?
-424*q + 25
What is the m'th term of 177, 515, 1015, 1677, 2501, 3487, 4635?
81*m**2 + 95*m + 1
What is the a'th term of 2071294, 2071297, 2071302, 2071309, 2071318, 2071329, 2071342?
a**2 + 2071293
What is the s'th term of 62462, 124931, 187408, 249893, 312386, 374887?
4*s**2 + 62457*s + 1
What is the q'th term of -108, -181, -254?
-73*q - 35
What is the q'th term of 333, 274, 249, 270, 349, 498?
2*q**3 + 5*q**2 - 88*q + 414
What is the v'th term of 25406, 25403, 25390, 25361, 25310, 25231?
-v**3 + v**2 + v + 25405
What is the a'th term of -121, -222, -315, -406, -501, -606?
-a**3 + 10*a**2 - 124*a - 6
What is the j'th term of -1402, -2268, -3150, -4054, -4986, -5952, -6958, -8010?
-j**3 - 2*j**2 - 853*j - 546
What is the l'th term of 2233, 4478, 6733, 9004, 11297, 13618, 15973, 18368?
l**3 - l**2 + 2241*l - 8
What is the a'th term of 7156791, 14313584, 21470377, 28627170, 35783963, 42940756?
7156793*a - 2
What is the q'th term of -74217, -148438, -222659?
-74221*q + 4
What is the g'th term of -918, -1284, -2274, -4200, -7374?
-52*g**3 - 2*g - 864
What is the g'th term of 166, 226, 252, 238, 178, 66, -104, -338?
-g**3 - 11*g**2 + 100*g + 78
What is the d'th term of 3297, 6543, 9789, 13035?
3246*d + 51
What is the y'th term of 11397, 11400, 11405, 11412?
y**2 + 11396
What is the p'th term of -11, -614, -2259, -5468, -10763, -18666?
-87*p**3 + p**2 + 3*p + 72
What is the z'th term of -1038, -8334, -28144, -66726, -130338, -225238, -357684?
-1043*z**3 + z**2 + 2*z + 2
What is the q'th term of -56907, -113856, -170801, -227742, -284679, -341612, -398541?
2*q**2 - 56955*q + 46
What is the u'th term of 19949, 19982, 20013, 20042, 20069?
-u**2 + 36*u + 19914
What is the a'th term of 1789861, 1789860, 1789859?
-a + 1789862
What is the u'th term of -46375, -46377, -46379, -46381, -46383?
-2*u - 46373
What is the u'th term of 29417, 58835, 88253, 117671, 147089?
29418*u - 1
What is the p'th term of -39604, -39672, -39740, -39808, -39876?
-68*p - 39536
What is the o'th term of 1078, 1072, 1064, 1054?
-o**2 - 3*o + 1082
What is the w'th term of 598072, 2392285, 5382640, 9569137, 14951776, 21530557, 29305480?
598071*w**2 + 1
What is the u'th term of 1695, 2092, 2489, 2886?
397*u + 1298
What is the b'th term of 116, 113, 88, 41, -28, -119?
-11*b**2 + 30*b + 97
What is the x'th term of 584, 1172, 1762, 2354, 2948?
x**2 + 585*x - 2
What is the n'th term of -6430, -6397, -6328, -6229, -6106?
-n**3 + 24*n**2 - 32*n - 6421
What is the v'th term of 149866, 149860, 149844, 149812, 149758, 149676?
-v**3 + v**2 - 2*v + 149868
What is the w'th term of 4042, 4063, 4098, 4147, 4210, 4287, 4378?
7*w**2 + 4035
What is the t'th term of 1740, 2540, 3330, 4104, 4856, 5580?
-t**3 + t**2 + 804*t + 936
What is the q'th term of -243, -1490, -4763, -11076, -21443?
-169*q**3 + q**2 - 67*q - 8
What is the o'th term of 461, 1854, 4181, 7442, 11637, 16766, 22829?
467*o**2 - 8*o + 2
What is the b'th term of -1946, -3879, -5800, -7703, -9582, -11431, -13244, -15015?
b**3 - 1940*b - 7
What is the r'th term of 5616621, 5616628, 5616645, 5616678, 5616733, 5616816, 5616933?
r**3 - r**2 + 3*r + 5616618
What is the j'th term of 49, 67, 125, 241, 433, 719?
3*j**3 + 2*j**2 - 9*j + 53
What is the p'th term of -3397, -3368, -3325, -3268, -3197, -3112, -3013?
7*p**2 + 8*p - 3412
What is the d'th term of 10, 5, -10, -35, -70, -115, -170?
-5*d**2 + 10*d + 5
What is the q'th term of -99, -474, -1107, -2004, -3171, -4614?
-q**3 - 123*q**2 + q + 24
What is the p'th term of -676, -1500, -2470, -3586, -4848, -6256?
-73*p**2 - 605*p + 2
What is the l'th term of -71000, -71003, -71010, -71021, -71036, -71055, -71078?
-2*l**2 + 3*l - 71001
What is the s'th term of 16901, 33758, 50575, 67352?
-20*s**2 + 16917*s + 4
What is the f'th term of 11701, 11732, 11769, 11812?
3*f**2 + 22*f + 11676
What is the w'th term of -1137, -1156, -1213, -1326, -1513, -1792?
-3*w**3 - w**2 + 5*w - 1138
What is the u'th term of 95116, 95092, 95052, 94996?
-8*u**2 + 95124
What is the y'th term of 442, 1478, 3204, 5620, 8726, 12522, 17008?
345*y**2 + y + 96
What is the l'th term of -950, -1896, -2830, -3752, -4662?
6*l**2 - 964*l + 8
What is the j'th term of 1878, 3832, 5796, 7770, 9754?
5*j**2 + 1939*j - 66
What is the n'th term of 45125, 45123, 45119, 45113, 45105, 45095?
-n**2 + n + 45125
What is the v'th term of 637, 650, 681, 736, 821, 942, 1105, 1316?
v**3 + 3*v**2 - 3*v + 636
What is the h'th term of -3372, -3444, -3570, -3756, -4008?
-h**3 - 21*h**2 - 2*h - 3348
What is the k'th term of -119187, -119226, -119305, -119436, -119631, -119902, -120261, -120720?
-2*k**3 - 8*k**2 - k - 119176
What is the h'th term of 2901, 2907, 2913, 2919?
6*h + 2895
What is the h'th term of -28, -88, -184, -316, -484, -688, -928?
-18*h**2 - 6*h - 4
What is the t'th term of -1768, -1407, -1066, -751, -468, -223, -22, 129?
-t**3 - 4*t**2 + 380*t - 2143
What is the f'th term of 375, 359, 317, 237, 107, -85?
-2*f**3 - f**2 | {
"pile_set_name": "DM Mathematics"
} |
+ 91*d**2 - 272*d**3 - 2*d**4 - 37 + 39 as b*d**3 + v*d**2 + q*d + p + m*d**4 and give q.
7
Rearrange -2*q - 2*q**3 + 82462695*q**2 - 2906 - 82462695*q**2 to h*q**2 + l*q**3 + n*q + v and give h.
0
Express 12*b**2 + 2 - 22*b**4 + 43*b**4 - 142*b**3 - 19*b**4 - b + 144*b**3 in the form t + c*b**4 + n*b + m*b**3 + i*b**2 and give c.
2
Express (2*c**2 - c**2 + 0*c**2)*(36284 - 403*c - 36289 - 220*c) + 2*c**3 + 0*c**3 - c**3 in the form p*c**3 + a*c + x*c**2 + k and give a.
0
Rearrange -f**3 - f**3 + 172*f**4 - 1074*f**4 + 32463411*f - 32463414*f to the form r*f + t*f**3 + p*f**2 + k*f**4 + y and give t.
-2
Express -11*z + 8*z - 3*z**2 + 5284*z**4 - 1 - 5286*z**4 + (2*z**3 + 2*z**3 - 2*z**3)*(-z - z + z) in the form n + h*z**4 + m*z**3 + f*z**2 + s*z and give h.
-4
Express (1 - 1 - 2*x)*(-855371*x + 855371*x + 1004*x**2) + x**3 - 5*x**3 - 2*x**3 in the form t*x + b + n*x**3 + u*x**2 and give n.
-2014
Rearrange 0 + 2*g**2 + 34*g + 55*g - 11 - 42*g to n*g + k + q*g**2 and give k.
-11
Express 104929*d**2 + 2*d + 45*d**3 - 7*d**3 - 71 - 104930*d**2 in the form z*d**2 + a + m*d**3 + o*d and give m.
38
Rearrange 4*t - 178*t + 573*t + 260*t + 256*t to w*t + g and give w.
915
Rearrange 6 + 26*m**3 - 53284*m + 17*m**3 - 53280*m + 7*m**2 + 106564*m to j + z*m**2 + p*m + d*m**3 and give j.
6
Rearrange 2*x - 123 + 16 + 1308 - 8 to b*x + r and give r.
1193
Express (-357 - 188 + 43)*(-f**4 + 2*f**4 + f**4) - 2*f**4 - 2*f**4 + 3*f**4 + 5*f**4 - 2*f - 2*f**4 - f**4 as g*f + c*f**4 + x*f**3 + d + y*f**2 and give g.
-2
Rearrange -7 - 7 + 36*g + 26 + 3 + 3 to the form q*g + z and give z.
18
Express ((0 + 1 + 0)*(3*v + 0*v - 4*v) - 28*v - 73 + 73)*(-3*v**3 - 20*v - 3 - 3*v**3 + 21*v) as g*v + o*v**3 + s + p*v**2 + b*v**4 and give o.
0
Express (96*y + 34*y + 91*y + (5 + 3*y - 5)*(2 - 4 + 3))*(1 + 0 - 5) as q + w*y and give w.
-896
Express 85*f**3 + 154*f**3 - 78*f**3 + (3*f + 7*f + 0*f)*(0*f**2 - 3*f**2 + 4*f**2) in the form t*f**2 + i*f**3 + s + d*f and give i.
171
Express (-5*g - 6 + 6)*(507 + 4735 - 549 + 2696 + 1448) in the form f*g + r and give f.
-44185
Express (2 + q - 2 + (2 + q - 2)*(1 + 2 + 1))*(-466*q + 830*q - 421*q) in the form s*q**2 + x + m*q and give m.
0
Rearrange -342*p + 10 - 89*p - 57*p + 10 - 18 to the form s*p + x and give s.
-488
Express -263 + 524 - 261 - 1607*h + 14490*h in the form l + m*h and give m.
12883
Rearrange (2 - 4 + 1)*(-u + u + u) - 2*u + 2*u - u + (-183 - 237 + 63)*(58*u + 48*u - 35*u) - 4*u + u + 4*u to h*u + q and give h.
-25348
Rearrange -4136*v**2 - 592*v**2 - 85*v**2 to the form o + d*v**2 + r*v and give d.
-4813
Express 1015*w**2 - 532*w**2 + 111*w - 527*w**2 + 0 + 0 + w**3 in the form y*w**3 + u*w**2 + d*w + h and give u.
-44
Express (-4*a + 5*a + 0*a)*(-8 - 5 + 16) + (928 - 1680 - 1047)*(4*a + 0*a - 2*a) in the form f*a + o and give f.
-3595
Express 25299 + 25301 + 783*f - 50601 - 37*f in the form p + q*f and give p.
-1
Express 2*d**3 + 4 - 1584*d**2 - 576*d + 799*d**2 + 785*d**2 in the form f*d**3 + n*d**2 + g*d + s and give g.
-576
Express (-3 - o + 3)*(-21850*o - 115 + 43624*o - 21831*o) as c + p*o**2 + r*o and give p.
57
Express 18*i**3 - 3*i - 58*i**4 - 12*i**3 - 60*i**4 - 18*i**3 + 2*i**2 + 2 + 123*i**4 as k*i + t*i**4 + y*i**2 + p*i**3 + c and give t.
5
Express 2 - 1920*d - 2 - 6113*d + 403*d as k*d + r and give k.
-7630
Express 24*f - 30*f**3 - 16*f**3 + 19*f**3 + 4 - 5 in the form k*f**2 + b + y*f**3 + r*f and give y.
-27
Rearrange ((-4 + 0 + 1)*(-50*a - 25 + 25) - a - 47 - 48 + 77)*(-5 + 2 + 4) to the form r + t*a and give t.
149
Rearrange -111*s + 10*s + 151231*s**2 - 151230*s**2 - 2*s**3 to h + z*s**3 + i*s**2 + a*s and give a.
-101
Express 24 - 52 - 8345*o + 28 + 3197*o as n*o + i and give n.
-5148
Express 10*f**3 - 52*f**3 + 3*f**4 - 2*f + 44*f**3 - 308 - 360 - 271 as h + c*f**2 + x*f + u*f**3 + j*f**4 and give j.
3
Rearrange (-1 + 4 - 1)*(-3*c + 6*c - c) + 25 + 78 - 313685*c + 313700*c to t + x*c and give t.
103
Rearrange 874*p + 870*p - 1733*p - 13*p**2 to the form c*p + v + n*p**2 and give c.
11
Express 32 - 109*p**4 - 2*p + 2*p**2 - 10*p - 64 - p**3 + 30 - p**3 as n + f*p + g*p**4 + a*p**2 + t*p**3 and give a.
2
Express (-7*o - o - 27 + 10*o)*(131*o + 58*o**3 - 75*o**3 - 132*o - 22) in the form x*o + v*o**2 + m + c*o**3 + j*o**4 and give x.
-17
Rearrange 0 - l + 3*l + 3 + (-79 - 300 + 126)*(2*l - l + 0*l) to the form w + u*l and give u.
-251
Express -2033*o**2 - 2*o - 3 + 3 + 1763*o**2 + 1974*o**2 as u + c*o + q*o**2 and give q.
1704
Express 16*g**3 + 16*g**3 - 14*g**3 + (-g**3 - 3*g**3 + 6*g**3)*(0 + 4 - 3) - 654*g**3 - 10005*g + 10005*g as o*g**3 + t + i*g + b*g**2 and give o.
-634
Rearrange (-37*h**3 - 2*h**3 - 23*h**3)*(-14*h + 36*h + 47*h) to l*h**2 + u*h**3 + o + a*h**4 + p*h and give a.
-4278
Rearrange (-7 + 63 + 62)*(48*z - 88*z - 32*z) to a + h*z and give h.
-8496
Express 9*o**4 + 2*o**3 + 81878*o**2 + 2 - 6*o**3 - 1 - 81877*o**2 + 3*o as c*o**2 + m*o**4 + b*o**3 + h*o + g and give b.
-4
Rearrange -2*t**2 + 3*t**4 + 0*t**4 + 0*t**4 + 2 - t**4 + 554*t**3 - 548*t**3 + 286*t to z*t**2 + r*t + v*t**3 + b + d*t**4 and give z.
-2
Express 10*x - 1723 + 2*x - 9*x - 1420 + 316 as u + k*x and give k.
3
Rearrange -78 + 16 - 147*p + 219*p - 77*p to the form q + k*p and give q.
-62
Rearrange 12 - 12 - 622*b + 242*b to the form h + n*b and give n.
-380
Rearrange -4582*o - 3278*o + 3182*o to x + g*o and give g.
-4678
Express 12*p**2 - 72*p**2 + 75 + 77*p**2 + 2*p**2 in the form v*p**2 + a + n*p and give v.
19
Express (i + 2544 + 623 + 1328 - 142 + 0*i)*(i - i - i) in the form h + x*i + r*i**2 and give x.
-4353
Rearrange ((-5 - 1 + 2)*(3*f**2 - 2*f**2 + 2*f**2) + 13*f - 13*f + 7*f**2)*(3*f + 2*f - 3*f) to the form l*f**3 + y*f**2 + t + c*f and give l.
-10
Express -1760*s + 909*s + 23*s**3 + 874*s in the form f*s + u*s**2 + z + x*s**3 and give z.
0
Express (-446*g + 134 - 136 + 33*g)*(-3*g - 4 + 4) + (-1 + 2 + 0 + (-5 + 4 + 0)*(1 + 0 - 2))*(-g + g**2 + g) in the form c*g + o*g**2 + s and give o.
1241
Rearrange -23 - 247*c**2 + 82 - 31 + 4 - 26 to the form y + j*c + r*c**2 and give r.
-247
Express (4*b + 4*b + 5*b)*(-6 + 4 + 0) - 2*b + 5*b - 5*b - 59*b + 26*b + 31*b - 88 as u + p*b and give u.
-88
Rearrange (s**2 - 14*s**2 - 71*s**2)*(8 - 7 + 18) to the form n + x*s**2 + t*s and give x.
-1596
Rearrange -2274*o**2 + 15504*o**2 - 121 + 121 to x*o + s*o**2 + z and give s.
13230
Express -535*j - 1197 - 2433*j + 599 + 598 as r + s*j and give s.
-2968
Express -3 + 9*x - 36*x + 6*x + x**2 + 7*x in the form l + s*x + w*x**2 and give l.
-3
Rearrange (2*r + 6*r - 2*r)*(261 + 963 - 2736) to the form c + q*r and give q.
-9072
Rearrange -516*l - 285*l + 1095*l + 1302*l to the form d + a*l and give d.
0
Express (14035 + 16833 - 5859)*(2 - 1 + 0)*(2*s - 3 + 3) in the form v + h*s and give h.
50018
Express (4*b - 3*b + 0*b)*(-3 - 2 + 4)*(698 + 78 + 769) + (3 + 2 - 3)*(0*b - 2*b + 0*b) - 2*b - b + b in the form t + n*b and give n.
-1551
Rearrange -23*v**3 - 27*v**2 + 59*v**3 - 70*v**2 - 3 - 41*v**3 to the form u*v**3 + d*v + h*v**2 + y and give d.
0
Express (-3*z**4 - 2*z**4 + 3*z**4)*(16704 + 454 - 4012) - 2*z**4 - z + z as a*z**2 + q*z**3 + w*z + o*z**4 + d and give o.
-26294
Express 354*k + 1392*k + 96*k + 238*k - 2 as i*k + g and give i.
2080
Rearrange 10*d**3 - 180*d**2 - 52*d + 176*d**2 - 4*d**3 + 52*d + 29*d to the form n*d + c*d**3 + r*d**2 + y and give c.
6
Express -128*i**2 + 27 - 1 + 4*i - 26 as y + o*i**2 + j*i and give j.
4
Express (6*m**2 - 3 + 4 - 7*m**2)*(35 - 27 + 50) - 3*m**2 + 5*m**2 - 4*m + 2*m in the form j*m**2 + l*m + c and give j.
-56
Rearrange 60*n**3 - 2*n + 4703 - 10*n**3 - 37*n**2 - 4703 to z*n**2 + p + b*n + d*n**3 and give b.
-2
Express -13*i - 85*i**3 + 13*i + (31*i - 16*i + 9*i)*(-4*i + 4*i + 2*i**2) + 2 - 2*i**3 - 2 as h + y*i + c*i**2 + l*i**3 and give l.
-39
Rearrange (0 + 3 - 4)*(0*y - y**3 + 0*y) + (-1 - 2 + 4)*(-11*y**3 + 0*y**3 - 11*y**3) to j*y**3 + g*y + l + w*y**2 and give j.
-21
Rearrange -3*f**2 + 0*f**3 - 5*f**3 + 6*f**3 - f**2 - 960*f + 31*f to m*f + v*f**2 + h*f**3 + x and give v.
-4
Rearrange 1929*z**2 + 1946*z**2 - 310*z - 3873*z**2 to the form i*z**2 + b + h*z and give h.
-310
Express -22*q**3 + 13*q**3 - 195*q + 7*q**3 + 356*q - 1 - 194*q + 27*q**4 as u*q**3 + d*q**2 + w + j* | {
"pile_set_name": "DM Mathematics"
} |
.
7/2325
-126 divided by -3
42
Calculate 9 divided by 651.
3/217
810 divided by -2
-405
Divide 13 by 13.
1
Divide 49098 by 3.
16366
Calculate 315 divided by 7.
45
-5 divided by -837
5/837
Calculate -395 divided by 5.
-79
What is 2070 divided by 414?
5
-10947 divided by -267
41
Divide -30870 by -4410.
7
Calculate 66 divided by -11.
-6
2 divided by -50
-1/25
Divide -10185 by 4.
-10185/4
What is -1980 divided by 6?
-330
What is 1050 divided by 25?
42
What is 1662 divided by 1?
1662
What is -276 divided by -12?
23
Divide -5 by 144.
-5/144
315 divided by -4
-315/4
Divide 2256 by 3.
752
What is 42 divided by 14?
3
256 divided by 256
1
-5253 divided by 103
-51
Divide 4 by -320.
-1/80
Calculate 0 divided by -658.
0
-13 divided by 5
-13/5
Calculate 12 divided by 233.
12/233
What is -72 divided by 56?
-9/7
-15904 divided by 1136
-14
-4 divided by -4077
4/4077
-436 divided by -1
436
-175 divided by -25
7
-5 divided by 38
-5/38
Calculate 5 divided by -1137.
-5/1137
Divide 3 by -228.
-1/76
16435 divided by 865
19
-5151 divided by 3
-1717
Divide 3 by 2695.
3/2695
Calculate -1220 divided by -5.
244
What is 70 divided by -35?
-2
What is -11 divided by 10?
-11/10
What is 14 divided by 334?
7/167
Calculate 1 divided by 476.
1/476
8397 divided by 311
27
Divide 15 by -3.
-5
1 divided by 44
1/44
What is -52 divided by 13?
-4
56 divided by -29
-56/29
Calculate -5820 divided by 6.
-970
What is -3751 divided by 31?
-121
What is 2411 divided by 1?
2411
-2 divided by 107
-2/107
-1 divided by -715
1/715
Divide -1197 by -1.
1197
-1 divided by 9
-1/9
-19878 divided by 6
-3313
Calculate 3 divided by -15.
-1/5
What is 1087 divided by 2?
1087/2
Calculate -1 divided by -76.
1/76
What is 105 divided by 105?
1
Calculate 29 divided by -95.
-29/95
1401 divided by 3
467
Calculate 2642 divided by -6.
-1321/3
What is -1141 divided by 1?
-1141
561 divided by -51
-11
Calculate 3064 divided by 4.
766
Divide 0 by -7.
0
What is 3 divided by -22?
-3/22
2019 divided by -3
-673
-5 divided by -5582
5/5582
What is -3 divided by 2803?
-3/2803
Divide -367 by 1.
-367
4 divided by -8858
-2/4429
What is 5 divided by 832?
5/832
What is 2400 divided by -120?
-20
Divide -2066 by -1033.
2
What is 126 divided by -7?
-18
Divide 204 by -12.
-17
What is -1542 divided by 3?
-514
Divide -3 by -98.
3/98
What is -4 divided by -105?
4/105
Divide 10475 by 4.
10475/4
Divide 1348 by -2.
-674
What is -3 divided by -3?
1
12756 divided by -6378
-2
Divide 2 by -383.
-2/383
Divide 14656 by 229.
64
2 divided by -1140
-1/570
Divide -3 by 131.
-3/131
What is -4854 divided by 1618?
-3
What is 4 divided by -35?
-4/35
Divide 222 by -2.
-111
6 divided by -15
-2/5
Divide 646 by 6.
323/3
What is 3 divided by 1926?
1/642
What is -195 divided by 39?
-5
Divide -122 by -17.
122/17
Divide 3 by -2.
-3/2
Calculate 483 divided by 21.
23
Divide -2 by 10.
-1/5
Divide -34 by -34.
1
Divide -9324 by 12.
-777
What is 1372 divided by -14?
-98
956 divided by 4
239
Calculate -252 divided by -6.
42
0 divided by 560
0
55212 divided by -3
-18404
Divide -138 by -6.
23
-5 divided by -27
5/27
Calculate -6684 divided by -12.
557
990 divided by -6
-165
What is -1560 divided by 5?
-312
What is 75 divided by -4?
-75/4
Calculate 262 divided by 11.
262/11
Divide -80896 by 4.
-20224
-14 divided by -30
7/15
Divide 11175 by 25.
447
Divide -1449 by 483.
-3
0 divided by -1
0
What is -2822 divided by -3?
2822/3
Divide 2 by 117.
2/117
16 divided by 16
1
What is -145 divided by 29?
-5
What is -2 divided by 36?
-1/18
-403 divided by -13
31
Divide 3445 by 5.
689
What is -4 divided by 27?
-4/27
12940 divided by 5
2588
Calculate 162 divided by -6.
-27
840 divided by 4
210
Divide -33708 by 4.
-8427
Divide 6995 by -1399.
-5
What is 0 divided by -542?
0
Divide 520 by -10.
-52
Calculate -216 divided by 3.
-72
Divide 13 by -19.
-13/19
What is -8110 divided by 2?
-4055
Calculate -610 divided by -5.
122
Calculate 22230 divided by -2.
-11115
363 divided by -3
-121
What is -26 divided by -13?
2
Divide 3860 by 193.
20
Divide 17 by 169.
17/169
What is -210 divided by 14?
-15
198 divided by -18
-11
What is -126 divided by -21?
6
357 divided by -34
-21/2
What is 110 divided by -10?
-11
Calculate -15 divided by -4.
15/4
-32020 divided by 3202
-10
Divide 16 by 245.
16/245
Calculate -45 divided by -341.
45/341
What is 341 divided by 31?
11
Divide 22403 by -521.
-43
-414 divided by -11
414/11
What is 26460 divided by 945?
28
-755 divided by 2
-755/2
50 divided by 25
2
Divide -5590 by 2.
-2795
-11410 divided by -2
5705
What is 86 divided by -23?
-86/23
1 divided by -16
-1/16
What is -14754 divided by 1?
-14754
Calculate -7040 divided by 11.
-640
Divide -20088 by 108.
-186
What is 55 divided by 3?
55/3
What is 281 divided by -5?
-281/5
22352 divided by -6
-11176/3
-1806 divided by -602
3
80 divided by -2
-40
-72 divided by 8
-9
Calculate -3910 divided by 34.
-115
-4 divided by -97
4/97
Divide -578 by 4.
-289/2
270 divided by 5
54
-360 divided by 180
-2
-478 divided by -4
239/2
Divide 0 by 70.
0
Calculate 204 divided by 6.
34
Calculate 16165 divided by -265.
-61
Calculate 20 divided by -66.
-10/33
8260 divided by 59
140
Calculate 32 divided by -1.
-32
13 divided by -10
-13/10
-91 divided by 2
-91/2
Divide 1986 by 6.
331
1962 divided by -981
-2
Calculate 15486 divided by 87.
178
49 divided by 7
7
Divide -180 by -6.
30
28 divided by 16
7/4
Calculate 8 divided by -5.
-8/5
What is 267 divided by 89?
3
5 divided by -753
-5/753
Divide -9 by 47.
-9/47
Divide -3519 by -1173.
3
-4 divided by 30
-2/15
Divide 1728 by 4.
432
What is -2 divided by 2036?
-1/1018
What is 48 divided by 2?
24
What is 192 divided by 24?
8
What is -493 divided by 6?
-493/6
Calculate -5 divided by 63.
-5/63
Calculate 308 divided by -154.
-2
What is -308 divided by -3?
308/3
Divide -5 by 269.
-5/269
Calculate 0 divided by 4452.
0
33 divided by 1
33
What is 162 divided by -27?
-6
1 divided by 111
1/111
-24900 divided by -75
332
-1062 divided by -3
354
Calculate 42 divided by -5.
-42/5
-85092 divided by -4
21273
-158 divided by 7
-158/7
Calculate 48 divided by 24.
2
Divide -277 by 14.
-277/14
Divide 186 by 20.
93/10
Calculate 1310 divided by -2.
-655
Calculate 31 divided by 5.
31/5
What is -118 divided by -2?
59
Divide 135 by -15.
-9
Calculate -3 divided by -60.
1/20
What is -624 divided by -7?
624/7
20095 divided by -4019
-5
What is -165 divided by 1?
-165
What is -2450 divided by -2?
1225
Divide 9315 by -81.
-115
Calculate -3591 divided by -133.
27
Divide 163 by 2.
163/2
Divide 40 by 108.
10/27
-5605 divided by 295
-19
Divide 0 by 10.
0
Calculate 0 divided by 230.
0
-1944 divided by -6
324
Calculate -160 divided by 8.
-20
What is 3 divided by -1?
-3
What is -1197 divided by -10?
1197/10
What is 2 divided by 110?
1/55
What is 4 divided by 300?
1/75
What is 0 divided by 5?
0
21 divided by -9
-7/3
Divide -4 by 155.
-4/155
15004 divided by 124
121
Calculate -225 divided by 25.
-9
198 divided by 66
3
8 divided by 18
4/9
What is 5 divided by 25?
1/5
Calculate -3 divided by -195.
1/65
Calculate 5 divided by -1517.
-5/1517
171 divided by -3
-57
Calculate 689 divided by 6.
689/6
What is 1089 divided by -3?
-363
3 divided by -159
-1/53
What is -3 divided by -11?
3/11
Calculate -43968 divided by -6.
7328
Calculate -192 divided by -192.
1
Calculate -1144 divided by -286.
4
57 divided by 1
57
-130 divided by -65
2
Calculate 1397 divided by 5.
1397/5
-7 divided by 452
-7/452
Divide 61 by -9.
-61/9
-807 divided by -1
807
Divide -4 by -1045.
4/1045
Divide -52 by 2.
-26
Calculate 5394 divided by 62.
87
What is 17 divided by -150?
-17/150
Divide 2674 by 2.
1337
Divide 2 by -2.
-1
What is 17 divided by 24?
17/24
3802 divided by -1
-3802
What is -1 divided by 748?
-1/748
-10128 divided by 6
-1688
What is -14936 divided by 1?
-14936
Calculate 341 divided by -1.
-341
What is 60 divided by -4?
-15
What is -117 divided by 117?
-1
What is 1214 divided by -607?
-2
What is 1410 divided by 2?
705
What is 3 divided by 3?
1
0 divided by -33
0
Calculate 1 divided by 23.
1/23
Calculate -5 divided by 8.
-5/8
-16 divided by 8
-2
-501 divided by 2
-501/2
-168 divided by 42
-4
Divide 5 by -818.
-5/818
Calculate 222 divided by 37.
6
0 divided by 56
0
Calculate 1285 divided by 12.
1285/12
What is -1 divided by 19?
-1/19
Calculate 9 divided by 368.
9/368
Ca | {
"pile_set_name": "DM Mathematics"
} |
e -5*c(z) + 2*j(z).
z**3
Let a(w) = 4*w**3 - 5*w**2 + 6*w - 6. Let c(h) = -3*h**3 + 6*h**2 - 5*h + 5. What is 5*a(d) + 6*c(d)?
2*d**3 + 11*d**2
Let q(f) = -4*f**3 - 3*f**2 + 9. Let l(o) = 2*o**3 + o**2 - 4. Give 9*l(s) + 4*q(s).
2*s**3 - 3*s**2
Let i(p) = 4*p + 4. Suppose s - 8 = 3*s + 2*j, -5*j = 5. Let d(k) = 5*k + 5. Determine s*i(g) + 2*d(g).
-2*g - 2
Let f(c) be the third derivative of c**4/8 - 2*c**3/3 - 20*c**2. Let r(x) = 4*x - 5. What is 5*f(y) - 4*r(y)?
-y
Let n = 33 - 48. Let l = n + 16. Let w(o) = o + 1. Let v(t) = -2*t - 5. Determine l*v(m) + 5*w(m).
3*m
Let v(t) = 3*t**2 + 2*t + 2. Let p(h) = h**3 + 4*h**2 + 2*h + 3. Give -2*p(r) + 3*v(r).
-2*r**3 + r**2 + 2*r
Let h(k) = -780*k**2. Let g(s) = -120*s**2. Calculate -32*g(l) + 5*h(l).
-60*l**2
Let n(g) = -g**2 - g. Let d(i) = -9*i + 5*i + i + 2*i - i**2. Calculate 5*d(u) - 4*n(u).
-u**2 - u
Let w(n) = -n - 1. Let q = 3 - -2. Suppose -19 = -3*u - 2*g, 3 = -u + q*g - 19. Let l(m) = -2*m**2 - 4*m - 5. Determine u*w(h) - l(h).
2*h**2 + h + 2
Let y(q) = 5*q**2 + 8. Let g(z) = -6*z**2 - z - 7. Give -3*g(n) - 4*y(n).
-2*n**2 + 3*n - 11
Let z(v) = 6*v**3 - 5*v - 5. Let n(s) be the second derivative of s**5/20 - s**3/6 - s**2/2 + 2*s. Give 5*n(c) - z(c).
-c**3
Let p(c) = -2*c + 2*c - 9 - 11*c. Let s(g) = g. Suppose -1 = -0*q - q. Let t(i) = -8*i - 4. Let r(l) = q*t(l) + 3*s(l). What is 6*p(w) - 13*r(w)?
-w - 2
Let u(t) = -3*t**3 + 5*t**2 + 6*t - 4. Let o(b) be the third derivative of -b**6/15 + 7*b**5/30 + 17*b**4/24 - 11*b**3/6 + 10*b**2. Calculate -4*o(v) + 11*u(v).
-v**3 - v**2 - 2*v
Let k(g) = 4. Let y = -31 - -30. Let z(a) = a**2 + 1. Give y*k(p) + 4*z(p).
4*p**2
Suppose 2*v + 2 = -2*k, -3 = 13*k - 12*k. Let q(u) = -u**2 + 2*u - 3. Let p(w) = -2*w**2 + 5*w - 7. Give v*p(b) - 5*q(b).
b**2 + 1
Let c(w) = 20*w - 2. Let n(g) = g. Calculate c(x) - 6*n(x).
14*x - 2
Let x(z) = 6*z - 5. Let h(l) = 13*l - 11. Let u be (0 - -2)/((-11)/(-22)). Determine u*h(i) - 9*x(i).
-2*i + 1
Let f(i) = -i - 4. Let y be 5/20 - 27/(-4). Let u = 5 + -2. Let j(p) = u - p - y - 1. Give 6*f(m) - 5*j(m).
-m + 1
Let o(q) = -5*q**2 - 9*q - 53. Let m(k) = -2*k**2 - 4*k - 27. What is -9*m(d) + 4*o(d)?
-2*d**2 + 31
Let o(r) = 2*r**2 - 7*r. Let m(v) = 20*v + 2*v**2 - 21*v - v**2. Determine -5*m(x) + o(x).
-3*x**2 - 2*x
Let h(x) = -6*x - 1. Let w(t) = 2*t. Calculate 4*h(u) + 11*w(u).
-2*u - 4
Let u(r) = -9*r + 9. Suppose 0 = 2*m - 5*m + 12. Let f = -7 + 12. Let s(n) = f - 3*n - n - n. What is m*u(o) - 7*s(o)?
-o + 1
Let f(a) = -6*a - 6. Let r(k) = -k - 1. Let w be (0 + 5)*2/(-5). Let p be w + 14 - (0 + 1). Give p*r(y) - 2*f(y).
y + 1
Let o(n) = 4*n**3 - 2*n**2 - 3*n + 2. Let k(a) = a**3 + a**2 + a - 1. Calculate -2*k(g) - o(g).
-6*g**3 + g
Let t(r) = 6*r**3 - 5*r**2 - 5*r. Let x(u) = 0*u + u**3 + 11 - 11 - u**2 - u. Determine -2*t(m) + 10*x(m).
-2*m**3
Let j(n) = 28*n**3 + 16*n**2 - 16. Let d(l) = 9*l**3 + 5*l**2 - 5. Suppose -2*g = 5*u - 42, -g + 7 = -4*u - 1. Give g*d(x) - 5*j(x).
4*x**3
Let d(n) = 3*n**2 + 3*n + 3. Let v = 15 + -18. Let y(z) = -6*z**2 - 7*z - 7. Suppose 5*k - 3*m + 20 = 0, -11 + 33 = -k - 3*m. Give k*d(t) + v*y(t).
-3*t**2
Let f(b) = 7*b**2 + 3*b - 3. Let r(h) = 3*h**2 + h - 1. Give 2*f(c) - 5*r(c).
-c**2 + c - 1
Let z(q) = 2*q + 1. Suppose 7*p = 68 + 51. Let a(m) = -6*m - 6. Let f(w) = -6*w - 5. Let g(l) = -2*a(l) + 3*f(l). Determine p*z(b) + 6*g(b).
-2*b - 1
Let n(l) = -4*l**2 - 3*l. Let f(v) = 5*v**2 - 2*v - 6*v**2 + 2*v - v. Let c = 0 + 1. What is c*n(b) - 3*f(b)?
-b**2
Let p(m) = -8*m**2 + 8*m - 5. Let t(w) = 7*w**2 - 7*w + 4. Let o(n) = 2*p(n) + 3*t(n). Let d = 4 - -9. Let c(u) = 11*u**2 - 11*u + 4. Determine d*o(b) - 6*c(b).
-b**2 + b + 2
Let y(s) = -24*s**2 - 13*s - 2. Let x(j) = 8*j**2 + 4*j + 1. Let v(u) = -11*x(u) - 4*y(u). Let p(r) = 2*r**2 + 2*r - 1. What is 9*p(b) - 2*v(b)?
2*b**2 + 2*b - 3
Let u(d) be the second derivative of -d**3/6 + d. Let j = -6 + 7. Let k(c) = 1. Calculate j*u(f) - k(f).
-f - 1
Let o(f) = 2*f + 4. Let i(v) = 62*v - 9 + 56*v - 121*v. Determine 2*i(u) + 5*o(u).
4*u + 2
Let d(i) = 8*i**3 + 9*i + 9. Let b(g) = -7 + 5*g**2 + 3*g + g + g - g**3. Let f be b(5). Let p(s) = -s**3 - s - 1. What is f*p(t) + 2*d(t)?
-2*t**3
Let j(q) = 3*q**3 + 7*q**2 + 3*q - 3. Let z be j(-2). Let y(u) = -14*u**2 + 5*u. Let c(a) = -7*a**2 + 2*a. What is z*c(k) + 2*y(k)?
7*k**2
Let l(p) = 23*p**2 - 3*p - 5. Let o(i) = -68*i**2 + 8*i + 14. Calculate -8*l(x) - 3*o(x).
20*x**2 - 2
Suppose n + 5 = 5*n + 3*i, 0 = 3*n - i - 20. Let w(c) = 7*c - 7. Let d(p) = 10*p - 10. Determine n*d(t) - 7*w(t).
t - 1
Let j(c) = 9*c + 2. Let b(t) = 113 + 110 + 0*t + 13*t - 328 + 108. Suppose -2*n + 4 = 18. Let y be (-1 - 4)*(-2 - -1). Determine n*j(r) + y*b(r).
2*r + 1
Let k(g) = 60*g**3 + 4*g + 4. Let h(i) = 61*i**3 + 3*i + 3. Give 4*h(w) - 3*k(w).
64*w**3
Let r(z) = -z**2 - 1. Let s(l) = 5*l**2 + 4. Give 4*r(o) + s(o).
o**2
Let m(a) = a**2 - 2*a + 7. Let c(x) = -3*x**2 + 5*x - 14. What is -2*c(o) - 5*m(o)?
o**2 - 7
Let s(u) = -5*u**3 + u**2 + u. Let z(n) = -n**3 - n**2. What is s(y) - 4*z(y)?
-y**3 + 5*y**2 + y
Let c(j) = 9*j + 23. Let f(x) = 4*x + 11. What is -2*c(v) + 5*f(v)?
2*v + 9
Suppose -5*z - 4 = 11. Let a(h) = -3*h**3 + 11*h**2 - 7*h + 11. Let g(j) = j**3 - 5*j**2 + 3*j - 5. Determine z*a(o) - 7*g(o).
2*o**3 + 2*o**2 + 2
Let j(h) = 4*h**3 - 8*h**2 - 2*h. Let i(a) = 5*a**3 - 9*a**2 - 3*a. Give -4*i(u) + 6*j(u).
4*u**3 - 12*u**2
Let n(p) = p**2 + 7*p - 10. Let r be n(-8). Let j(b) = -b - 2. Let o(g) = 15*g + 33. Give r*o(c) - 33*j(c).
3*c
Let k(f) = -3*f + 6. Let z(b) = 24*b - 48. Give -33*k(t) - 4*z(t).
3*t - 6
Let n(t) = -3*t**2 - 4*t + 4. Let p(b) = -2*b**2 - 3*b + 3. Determine -5*n(w) + 7*p(w).
w**2 - w + 1
Let d(j) = 36*j**2 + j - 10. Let n(z) = -12*z**2 + 3. What is -2*d(h) - 7*n(h)?
12*h**2 - 2*h - 1
Let n(g) = -54*g**2 + 6*g. Let i(o) = 109*o**2 - 13*o. Give -6*i(v) - 13*n(v).
48*v**2
Let h(t) = -17*t**3 + 11*t**2 - 3*t. Let w(j) = -48*j**3 + 54*j**3 + 2*j**2 + j - 6*j**2. Give 3*h(y) + 8*w(y).
-3*y**3 + y**2 - y
Let j(i) be the second derivative of i**3/6 + 8*i**2 + 8*i. Let g be j(-10). Let w(b) = b**3 - b**2. Let u(s) = 4*s**3 - 6*s**2. Calculate g*w(l) - u(l).
2*l**3
Let r(y) = 6*y + 2. Let f(h) be the third derivative of -h**4/12 - h**3/6 - 7*h**2. Determine -8*f(g) - 3*r(g).
-2*g + 2
Let k(r) = -3*r**2 + 2*r + 1. Let x(m) = 4*m**2 - 3*m - 2. Suppose j - 4*j + 4*c + 9 = 0, -8 = 2*j + 2*c. Let s be ((4/1)/2)/j. Calculate s*x(q) - 3*k(q).
q**2 + 1
Let a(k) = -12*k**3 - k**2. Let n(b) = 49*b**3 + 4*b**2 + 1. Determine 9*a(j) + 2*n(j).
-10*j**3 - j**2 + 2
Let s(k) = 4*k + 38. Let x(g) = 3*g + 25. Determine -5*s(h) + 8*x(h).
4*h + 10
Let a(n) = 8*n - 7. Let p(x) = -10*x + 8. What is -7*a(r) - 6*p(r)?
4*r + 1
Let i(x) = -x**3 - x**2 - x. Let b(k) = -11*k**2 + 7*k. Let r(n) = -5*n**2 + 3*n. Let q(v) = 4*b(v) - 9*r(v). Suppose -6*f + 1 = -11. Calculate f*i(y) + 4*q(y).
-2*y**3 + 2*y**2 + 2*y
Let w(x) = 18*x**3 + 2*x**2 + 6*x. Let k(p) = 36*p**3 + 4*p**2 + 11*p. Determine -6*k(o) + 11*w(o).
-18*o**3 - 2*o**2
Let i(w) = 7*w - 6. Let q(p) = 36*p - 30. Let v(s) = -5*s + 4. Let t be v(5). Let d(y) = t*i(y) + 4*q(y). Let r(b) = -b + 1. Determine -d(k) + 4*r(k).
-k - 2
Let o = -27 + 19. Let n(m) = m - 4. Let x(c) = c - 6 + 5*c - 4*c. Let q = 11 + -6. Give o*n(a) + q*x(a).
2*a + 2
Let u(f) = 28*f - 5. Let k(s) = 14*s - 2. Let d(p) = -5*k(p) + 3*u(p). Let w(a) = -5*a + 2. Determine -3*d(q) - 8*w(q).
-2*q - 1
Let m(k) = -k + 2 - 6*k + k + 2*k. Let l(p) = -6*p + 3. Give -5*l(x) + 8*m(x).
-2*x + 1
Let f(x) be the first derivative of x**3/3 + 6. Let q(p) = -10*p**2. Calculate 22*f(g) + 2*q(g).
2*g**2
Let i(t) = -t + 4*t - 4*t. Let g(y) = 10*y - 2. Calculate -g(p) - 6*i(p).
-4*p + 2
Let s(d) = -1. Let x(p) = 7*p**2 + 3. Determine 3*s(r) + x(r).
7*r**2
Suppose 2*m = 6*m + 48. Let d(i) = 4*i + 5. Let r be (2 + -1)*(-20)/(-4). Let f(q) = 10*q + 12. What is m*d(y) + r*f(y)?
2*y
Let h(r) = -7*r**2 - 7*r - 5. Let o = 11 - 5. Let z(y) be the first derivative of 4*y**3/3 + 2*y**2 + 3*y - 2. Calculate o*h(a) + 10*z(a).
-2*a**2 - 2*a
Let t(b) = b**2 + b - 1. Let y(g) = 5*g**2 + g - 4. Let u = 5 + -2. Determine u*t(i) - y(i).
-2*i**2 + 2*i + 1
Let s(u) = 6*u + 7. Let j(m) = 11 + 7*m - 4 + 1. Give -5*j(d) + 6*s(d).
d + 2
Let v | {
"pile_set_name": "DM Mathematics"
} |
i.
2
Suppose -4*y = -5*h - 26, 10*y + 3*h + 18 = 13*y. What is the remainder when 11 is divided by y?
3
Let m(y) = -3*y - 36. Calculate the remainder when 142 is divided by m(-24).
34
Let w(m) = -100*m**3 - m. Let t = -52 - -78. Calculate the remainder when w(-1) is divided by t.
23
Suppose 0 = -3*f - 4*n - n + 145, -3*n - 39 = -f. What is the remainder when f is divided by 15?
0
Let s = -15 - -1. Calculate the remainder when 22/(-77) + (-382)/s is divided by 14.
13
Suppose 0 = -3*p + 2*t + 9, 3*p = -t - 0*t. Let y = 2 + p. Suppose -4 = -i - y. What is the remainder when 1 is divided by i?
0
Suppose -613*s - 845 = -618*s. What is the remainder when s is divided by 29?
24
Let k(g) = 19*g + 251. Let i be 3/(6/(-4)) - 26. Let f = i + 42. What is the remainder when f is divided by k(-13)?
2
Suppose -5*h + 334 = 2*b, 892 = 3*b + h + 378. Let f = b - 116. What is the remainder when f is divided by 10?
6
Suppose 0 = -15*h - 12*h + 324. Calculate the remainder when 42 is divided by h.
6
Let z = 27 + 41. Calculate the remainder when 21 is divided by z/11 - (-4)/(-22).
3
Suppose 0 = -3*s - p + 5, 2*p - p = 5*s - 19. Suppose s*w = -11 + 17. What is the remainder when 2 is divided by w?
0
Let u be 80/(-5 + 0 + 6). Let x = -5 + u. Calculate the remainder when x is divided by 19.
18
Calculate the remainder when (((-30804)/(-8))/17)/((-3)/(-4)) is divided by 61.
58
Let z = -254 - -297. What is the remainder when z is divided by (-2 + 1)/((-1)/15)?
13
Suppose -3*d + t = -72, -3*d + 3*t + 2*t = -84. What is the remainder when 127 is divided by d?
12
Let z(d) = 201*d**2 - d + 3. What is the remainder when z(1) is divided by 34?
33
Calculate the remainder when (3 - 44/12)/((-10)/345) is divided by 2.
1
Let o(h) = -h**2 - 19*h - 36. What is the remainder when 35 is divided by o(-3)?
11
Let j = 14 - 13. Calculate the remainder when 47 is divided by 67/(-4)*-1 + j/4.
13
Let c(t) = -t**2 + 12*t - 21. Suppose -4*u + 4*b = -44, -3*u + 6 + 17 = 2*b. Calculate the remainder when 9 is divided by c(u).
3
Let x = 6875 + -6857. Let p(u) = 1 - 4*u - 2*u + 0. Calculate the remainder when x is divided by p(-1).
4
Let t(p) be the third derivative of -p**4/24 - 3*p**3 - 6*p**2. Let j be t(12). Let g = -17 - j. Calculate the remainder when 50 is divided by g.
11
Let g = 388 - 380. What is the remainder when 35 is divided by g?
3
Suppose 0 = -4*q + 40*q - 3168. What is the remainder when q is divided by 23?
19
Suppose -11*d = -1042 + 393. Calculate the remainder when d is divided by 8.
3
Suppose -3*h = -12, -h + 5*h - 46 = 5*t. Let c(b) = b + 5. Let w be c(t). Let y(g) = 2*g**2 + g + 2. What is the remainder when 7 is divided by y(w)?
1
Let q(c) = 60*c + 4. Let i be q(3). Suppose -4*r - 79 = -w, 4*w + 4*r = 232 + i. What is the remainder when w is divided by 25?
24
Let v(x) = -19*x + 147. Calculate the remainder when v(7) is divided by 5.
4
Suppose -56*l + 42*l + 154 = 0. What is the remainder when 46 is divided by l?
2
Suppose 3*w - 5*y - 53 = w, 28 = w - 3*y. Let n(p) = 3*p**2 + 2*p - 12. What is the remainder when n(-5) is divided by w?
15
Let g = -344 - -661. Suppose 23*m = -8*m - 11*m + 2688. Calculate the remainder when g is divided by m.
61
Let i(c) = c + 8. Let a be i(-5). Let u(o) = o + a*o**2 - 5 + 3 + 4*o**2. What is the remainder when u(3) is divided by 17?
13
Let p = 23 + -4. Suppose -39 = -t - 3*k + 60, -5*t = 3*k - 459. What is the remainder when t is divided by p?
14
Suppose -5*k + 24 = -2*k. Suppose -5*j + 35 = -5*b, -3*b + 0*b = -2*j + 20. What is the remainder when (-1)/(-6) - 137/b is divided by k?
7
Let y(c) be the second derivative of -c**5/20 - c**4/4 - 7*c**3/6 + c**2/2 - 14*c. What is the remainder when 176 is divided by y(-4)?
41
Suppose -p = -0*p - 3. Suppose k - 2 = n - 10, 24 = 3*n - k. Suppose 3*v - 5*a - 15 = -3, -4*a + n = 2*v. What is the remainder when v is divided by p?
1
Suppose 5*y + 6*o = 2*o + 272, -y = 3*o - 50. Suppose -4*d + 44 = 4*j, 2*d - 37 = -d + j. What is the remainder when y is divided by d?
8
Let o(a) = -a**3 + 25*a**2 - 21*a + 34. What is the remainder when o(24) is divided by 19?
11
Suppose -20 - 32 = -2*j - 4*o, -2*j - 3*o + 49 = 0. Calculate the remainder when 193 is divided by j.
13
Let o(x) = -2*x**2 + 34*x + 87. What is the remainder when 15 is divided by o(19)?
4
Suppose 56*k = 3*x + 53*k - 192, x - 72 = -k. What is the remainder when x is divided by (-1*1 - -1) + 18?
14
Suppose 0 = 2*x + t - 135, -4*x - 15*t = -17*t - 290. Calculate the remainder when x is divided by 40.
30
Suppose 0*n - 112 = -8*n. Let u = 0 - 0. Suppose a + u*a + 154 = 4*g, 0 = g + 3*a - 45. Calculate the remainder when g is divided by n.
11
Suppose -8 + 1 = 3*k - 4*v, 5*k + 5*v + 35 = 0. Let m(n) = 3*n + 27. Calculate the remainder when 43 is divided by m(k).
7
Let c(x) = x**3 - 12*x**2 + 11*x - 15. Let n be c(11). Let r be (n - -9)*(-1 + -31). Suppose p - 4*p = -r. What is the remainder when p is divided by 17?
13
Suppose 9*c - 7*c - 4 = 0. Suppose c*h + 16 = 70. Calculate the remainder when h is divided by 16.
11
Suppose 4*w = 2*l - 392, 8*w + 589 = 3*l + 3*w. Calculate the remainder when 407 is divided by l.
11
Suppose 18 = -6*y + 9*y. Suppose y*v - 150 = 12. Calculate the remainder when v is divided by 2/(-12)*-3*20.
7
Let w = 11 + 15. Let p(j) = -8*j - 106. Calculate the remainder when w is divided by p(-15).
12
Suppose 220 = 5*v + 23*a - 24*a, -5*v = -3*a - 230. Calculate the remainder when 299 is divided by v.
41
Let u(a) = a**2 - a + 12. What is the remainder when 53 is divided by u(0)?
5
Let n(z) = z**2 + z + 11. Suppose -m + 7 = 2*v, -m - 30 = -3*v + 4*m. Suppose 0 = -0*i + v*i. Calculate the remainder when 19 is divided by n(i).
8
Suppose -50*f - 122 = -48*f. Let k = 74 + f. Let o(p) = 23*p**2. What is the remainder when o(1) is divided by k?
10
Let v(i) = i**3 - 4*i**2 + 4*i - 5. Let c be v(4). Suppose -f + c + 15 = 0. Calculate the remainder when f is divided by 7.
5
Let q be ((-2)/((-1 - -2) + -3))/1. Let h(y) = 40*y**3 + y**2 - y. Calculate the remainder when 159 is divided by h(q).
39
Suppose -2*o = -5*k + 25, 32 = -3*o + 5*k - 3*k. Calculate the remainder when 6 is divided by -2 + -10*4/o.
0
Calculate the remainder when 18/42 - (-554)/14 is divided by 40.
0
Calculate the remainder when 198 is divided by 1/(68/(-8)) - 684/(-34).
18
Suppose -u + q + 21 = -24, 2*u - 92 = 3*q. What is the remainder when u is divided by 24?
19
Let z = -32 + 36. Suppose b + 178 = 5*b + 3*m, -z*m + 94 = 2*b. Calculate the remainder when b is divided by 11.
10
Let s = 429 - 398. Suppose -362 = -4*b - 2*p, 2*p = b - 32 - 56. What is the remainder when b is divided by s?
28
Let x = 72 - 69. Suppose t = -x*t + 152. What is the remainder when t is divided by 21?
17
Let j = -198 + 224. What is the remainder when 153 is divided by j?
23
Let t = 40 + -33. What is the remainder when 0/3 + 1*13 is divided by t?
6
What is the remainder when (-6)/(-15) + 1912/20 + -4 is divided by 43?
6
Suppose -5*s = 3*c - 38, 3*s + 10 = 5*c - 8. Suppose -c*k - 25 = -7*k. Calculate the remainder when 99 is divided by k.
24
Let d = -563 + 570. Calculate the remainder when 82 is divided by d.
5
Suppose -2*l - 3*l = 5*a - 155, a + 2*l = 36. What is the remainder when a is divided by (96/15 - 6)/(16/280)?
5
Let a be -68 - (1 + -5 + 5). Let k = 98 + a. What is the remainder when 172 is divided by k?
27
Suppose -b - 92 = -3*i + 48, -3*b - 6 = 0. Let a = i + -30. Calculate the remainder when a is divided by 11.
5
Calculate the remainder when 4/((-4)/(-7)*154/572) is divided by 8.
2
Suppose 0*o - 4*o + 1200 = 0. Suppose -100 = u - 2*u - q, -3*u + o = q. Calculate the remainder when u is divided by 34.
32
Let c = -2397 + 3144. Calculate the remainder when c is divided by 25.
22
Suppose 0 = -s + 3*j + j + 68, 4*s + 4*j = 172. Suppose 0 = 2*d - 96 + 34. Suppose 3*z - d = 8. What is the remainder when s is divided by z?
9
Let y = -450 + 725. What is the remainder when y is divided by 70?
65
Suppose -12 + 44 = 4*i. Let n be (5 + 0)/(i - 7). Suppose 0 = n*j - j - 12. Calculate the remainder when 11 is divided by j.
2
Let w(k) = k + 15. Let d be w(-12). Let p be (-3 - -5) + d/3. Suppose 0 = 2*x - p*x + 10. Calculate the remainder when x is divided by 6.
4
Suppose -314 = -4*y + 2*d, -176 = -5*y - 3 | {
"pile_set_name": "DM Mathematics"
} |
2, -3, 0.2?
-3
Which is the nearest to -2/39? (a) 2.4 (b) -5 (c) 0 (d) 3
c
What is the nearest to -2/7 in 1/6, -7319, -4?
1/6
Which is the closest to -1? (a) 93 (b) 5 (c) 0.3 (d) 0.1 (e) 0.04
e
What is the closest to 3 in -5, -91, -26, 15?
-5
What is the nearest to -1629 in 0.6, 1, 3?
0.6
What is the nearest to -5 in -0.111, -4, -3/2?
-4
What is the nearest to 3 in 0.66, -2, 0?
0.66
Which is the closest to -2/5? (a) 0.23 (b) -3 (c) -11 (d) -8 (e) -0.2
e
What is the nearest to 1/4 in -3/4, 6/107, 136?
6/107
What is the closest to -1 in -111, -15/22, 1/2, 1?
-15/22
What is the nearest to 6 in 4, -7/12, -0.2, -18/5, 2/3?
4
What is the nearest to -3/5 in 1/8, 23, -0.4, -229?
-0.4
Which is the nearest to -5? (a) 0.2 (b) 90 (c) 1/43 (d) 0
d
What is the nearest to -0.0846 in 0.03, -4, 2, -2/7?
0.03
Which is the closest to -2/7? (a) -81 (b) 5 (c) -2/9 (d) -3/23
c
Which is the closest to -2? (a) 7 (b) -1 (c) 0.1 (d) 3/629 (e) 3
b
Which is the closest to 4? (a) 4 (b) -103 (c) 5 (d) -2/15 (e) -2
a
What is the nearest to -1/14 in -5, 3, -4, -3/4?
-3/4
What is the nearest to -70 in -8/3, 2/9, 1/6, -1, -3?
-3
What is the nearest to 1/2 in 5, -0.04, 2/357, 0.4, 2?
0.4
Which is the nearest to 2/269? (a) -1 (b) 2/3 (c) -1/7
c
What is the closest to 1 in -421, 0.1, -4/139?
0.1
Which is the nearest to -1/4? (a) -0.4 (b) -1 (c) 2.243 (d) 7
a
Which is the closest to -10/11? (a) 2/19 (b) 0.4 (c) -0.01 (d) 3 (e) -62
c
Which is the closest to 49? (a) -4 (b) -2.6 (c) -3
b
Which is the nearest to 1? (a) -3 (b) -8/7 (c) -7 (d) 2/5
d
Which is the nearest to 48.4? (a) 4/7 (b) -4/5 (c) 2/5
a
Which is the closest to -2/23? (a) -3 (b) 7 (c) 47 (d) -0.059
d
Which is the nearest to 7? (a) -10.38 (b) 10 (c) -5 (d) -4
b
Which is the closest to 0? (a) 46 (b) -6.2 (c) 1 (d) -3/2
c
What is the closest to -0.2 in -1/4, 25.1, -2?
-1/4
What is the nearest to 607 in -68/3, -1, 4?
4
Which is the closest to 7/344? (a) -0.06 (b) 0.3 (c) 5 (d) 0.1
d
What is the nearest to 12 in 2/27, 0.3, -11/17, -2?
0.3
What is the closest to -15 in 0, 2/9, -51?
0
Which is the nearest to 25? (a) 3/4 (b) 0.5 (c) -3/94 (d) 0.4
a
What is the closest to -1 in -76, -0.07, -0.18?
-0.18
Which is the nearest to -1? (a) 0 (b) 1 (c) -1/6 (d) 19 (e) 26
c
What is the closest to 1 in -402, -56, -0.4?
-0.4
What is the closest to -3/47 in 2/3, -5, -6/7, 3?
2/3
What is the closest to 2 in -5, 2, 4, 1/4?
2
Which is the nearest to 1? (a) 294 (b) -3 (c) 1
c
Which is the nearest to 11? (a) 2/5 (b) 27 (c) -2/11 (d) -4
a
Which is the nearest to 1? (a) -2/6227 (b) -5 (c) 4 (d) 1 (e) 0
d
Which is the closest to -3? (a) -5 (b) -0.2 (c) 0.11 (d) -3/5 (e) -1/2
a
What is the nearest to -0.02951 in 19, -4, 0.4?
0.4
Which is the closest to 1/8254? (a) 0 (b) 0.5 (c) -3/7 (d) 0.3
a
Which is the closest to -10/39? (a) 4 (b) 59 (c) 9
a
Which is the nearest to 40/3? (a) -3 (b) 1 (c) -7 (d) 1/9
b
Which is the nearest to 0? (a) -0.5 (b) 2.04 (c) -0.1 (d) -2
c
Which is the nearest to -1? (a) -13/11 (b) 2 (c) -2/7 (d) -1
d
What is the closest to -4 in 14, 0.04, -17, 2/11?
0.04
Which is the closest to -0.2? (a) 0.2 (b) 408 (c) -20.7 (d) -0.2
d
Which is the nearest to -1/3? (a) 1/2 (b) -2 (c) -0.1 (d) 1 (e) -2/1105
c
What is the closest to 116/19 in 3, 0.2, 4?
4
What is the nearest to 0.1 in 5, -1/6, 4, -12, -0.3?
-1/6
What is the nearest to 68 in -8, 2/3, 3/5?
2/3
Which is the closest to 0? (a) -32.6 (b) -24 (c) -0.3 (d) 0 (e) 2
d
Which is the nearest to -1? (a) -12 (b) 43.07 (c) -2 (d) 0.5
c
Which is the closest to 9? (a) 0.095 (b) 0.1 (c) 171
b
What is the closest to -71/5 in -5, 8, -4, -1/3, -2?
-5
Which is the closest to 2? (a) 1/10 (b) -0.0229 (c) -1/3 (d) -0.2 (e) -12
a
What is the nearest to 0 in -6/5, -3188.3, -4?
-6/5
What is the nearest to 7/6 in 24, 4, 3/7, 0.2, 1/9?
3/7
Which is the nearest to 0? (a) 3.21 (b) -6.7 (c) 0.4
c
Which is the nearest to 0.1? (a) -7 (b) -1/5 (c) 0.06 (d) -3/7 (e) -39
c
Which is the closest to -2/3? (a) -2 (b) -1/9 (c) -4 (d) 11/40
b
What is the closest to -111 in 0, -3, -453?
-3
What is the closest to 1 in 1/3, -3, 13.706, 2?
1/3
What is the closest to -0.3 in 10, -2, -2/7, 4/47?
-2/7
Which is the nearest to -1? (a) 512/41 (b) -2/9 (c) -2/11 (d) -5
b
Which is the nearest to -164? (a) -1/3 (b) -2/3 (c) -2/9 (d) -5 (e) 2/7
d
Which is the nearest to 0.1? (a) -23.3 (b) 0.23 (c) -0.02
c
What is the nearest to 220 in 1, 0.5, -610/9?
1
Which is the nearest to -12? (a) 2/3 (b) 298 (c) -3/4 (d) -32
c
What is the closest to 7 in -3, -139, 3, 5.2?
5.2
What is the nearest to 2/5 in -5, 5, 1784/7, 3?
3
What is the nearest to -301008 in 3, -0.5, -1/7?
-0.5
What is the nearest to -1 in -2/17, 167, 8, 0.5?
-2/17
Which is the closest to -37? (a) -48 (b) -1 (c) 0 (d) 1/3 (e) -0.3
a
What is the closest to -1/2 in 0.1, -622, 7, -0.3?
-0.3
What is the closest to 4 in 0, -0.017, -2/7?
0
Which is the closest to 4? (a) 1/4 (b) -5.3 (c) -223 (d) -1/7
a
Which is the nearest to -2/5? (a) 1 (b) 2/3 (c) -1 (d) 3 (e) 12.23
c
What is the nearest to -26/27 in -14, -1/5, 5, 2/5?
-1/5
What is the nearest to -0.2 in -0.07, 2, 0, 696/41?
-0.07
What is the nearest to -2/73 in -0.56, -13, 2/7, -2/5?
2/7
Which is the nearest to 2/11? (a) -1/4 (b) 132/29 (c) 0.3
c
Which is the nearest to -1? (a) 20 (b) -33/4 (c) 92
b
What is the closest to 4.5 in 0.46, 3, -6/31?
3
Which is the closest to -20? (a) -0.2 (b) -9.5 (c) 54
b
Which is the nearest to 2? (a) -66 (b) -2 (c) 1/5
c
Which is the closest to -1/4? (a) 7 (b) 2.2 (c) -65
b
Which is the nearest to 217? (a) 2/9 (b) 2/3 (c) -0.5 (d) 5
d
Which is the nearest to -0.5? (a) -1/3 (b) 1 (c) -5 (d) 0.3 (e) -1/4
a
Which is the closest to 0? (a) -3 (b) 0.5 (c) -17 (d) -6 (e) -21
b
Which is the closest to -291? (a) 0 (b) -37 (c) 17
b
Which is the closest to -1/2? (a) 2/11 (b) -8 (c) -503
a
Which is the closest to 3? (a) 2 (b) 2/3 (c) -82 (d) -1/303 (e) -1
a
Which is the nearest to 196? (a) -0.0679 (b) -4 (c) 1 (d) -3 (e) 0.5
c
What is the closest to -0.63 in -21, -24, -9?
-9
What is the nearest to -0.66 in -0.3, 0.3, 0.1, -7?
-0.3
What is the nearest to 0.7 in -1/367, -6/11, 4, -0.4?
-1/367
What is the closest to -2/71 in 0, -0.1, 4, -1/4, -14?
0
What is the closest to -3/2 in 1/3, 0.5, -2/7, 0.4, -2/3?
-2/3
Which is the nearest to -1/3? (a) -1/8 (b) 2/9 (c) 2 (d) -10812
a
What is the closest to -3514 in 1, -3/8, -0.5?
-0.5
What is the closest to 2/15 in -1, -1/2, 351, -5, 2?
-1/2
Which is the closest to 0.1606? (a) -5 (b) 5 (c) 2/7 (d) 4
c
What is the nearest to 3 in 0.2, 2, 9, 1/3, 3.2?
3.2
Which is the closest to 0.389? (a) 1/5 (b) -3/5 (c) -3 (d) -1/11 (e) -0.1
a
Which is the nearest to -1? (a) 6 (b) 0.01 (c) -2/11 (d) 7
c
What is the closest to 2/7 in -10973, -1.1, 0.4?
0.4
Which is the closest to 1? (a) 0 (b) 3336 (c) 2/9 (d) 1/4 (e) -3
d
Which is the closest to 1? (a) 2/7 (b) -2.9 (c) 0 (d) -4/7 (e) -0.04
a
Which is the closest to -2/7? (a) -1.2 (b) 3 (c) -29
a
Which is the nearest to 0.6? (a) -5/63 (b) -24 (c) 4
a
Which is the nearest to 2? (a) 2/3 (b) -5 (c) 0.2432
a
What is the nearest to -1 in -5/272, 0.06, -1, 1, 2?
-1
Which is the closest to 1? (a) 5/8 (b) 1 (c) 59.152
b
Which is the nearest to -4? (a) 0.4 (b) -97/6 (c) -226
a
Which is the nearest to -0.1? (a) -23.4 (b) -2/17 (c) 2 (d) 1 (e) -1/6
b
Which is the nearest to 14? (a) -2 (b) -1/5 (c) -10/53 (d) 0
d
What is the closest to 2 in 0.049, 2, 7, -0.03, 1?
2
Which is the nearest to -8? (a) 0.05 (b) 1 (c) 9 (d) -20 (e) -0.1
e
Which is the closest to -0.2? (a) -4 (b) 134/7 (c) -2 (d) 0.5
d
What is the nearest to -6 in -0.048, 5, -1369?
-0.048
Which is the nearest to 15/2? (a) 31 (b) 5/2 (c) 5 (d) 2/17
c
Which is the nearest to -5/3? (a) -474 (b) -5 (c) -2/5 (d) -1
d
What is the nearest to -13/2 in -0.1, 0.5, -0.02, -3, -0.2?
-3
Which is the closest to 2? (a) -5 (b) 0.63 (c) 3/2 (d) 3/5 (e) -4
c
What is the nearest to 0 in 3/4, -3/5, 89, -4, 13?
-3/5
What is the closest to -263 in -2/37, 2, -3/5, -0.03?
-3/5
What is the closest to -6 in 0.1, 4, | {
"pile_set_name": "DM Mathematics"
} |
y**5
Expand (3*q - 2*q + 0*q)*(-4*q + 3*q + 2*q) - 2*q**2 + 4*q**2 + q**2 - 2*q + 2*q - q**2 + (0*q + 3*q - 4*q)*(-2*q + 5*q - q).
q**2
Expand (-4*v + 2*v + v + 2)*(-9*v + 3*v + 2*v).
4*v**2 - 8*v
Expand ((1 + 0 + 1)*(0*b - 2*b + b) + b + 0*b - 2*b)*(9*b**2 + 10*b**2 + 3*b**2) - 2*b**3 - b**3 + b**3.
-68*b**3
Expand -4 - 5 - 29*f**3 + 27*f**3 + (-f**2 + 0*f**2 + 3*f**2)*(3 - 3 - f) - f**3 - 5*f + 5*f.
-5*f**3 - 9
Expand (-2 - 3 + 6)*(-5*j + 3*j - j).
-3*j
Expand (38 + 10*a + 35 - 69)*(-2*a + 0*a + 3*a).
10*a**2 + 4*a
Expand 2*f**2 - 3*f**2 - f**2 + (f + 5*f - 4*f)*(-3*f + 3*f + 2*f) - 2 + 2 + 2*f**2 + (3*f + 2*f**2 - 3*f)*(1 - 3 + 0) + f**2 - 2*f**2 + 2*f**2.
f**2
Expand (2*o**3 + o**3 + 2*o**3)*(4 - 5 + 4) - 2*o**3 + 0*o**3 + o**3 - o**3 - 5*o**3 + 4*o**3.
12*o**3
Expand 6*w**3 - 6*w**3 - 2*w**4 + (7*w**2 - w**2 - 3*w**2)*(4 + 2*w**2 - 4).
4*w**4
Expand (1 + 4 - 4)*(-6*x + 2 + 3*x + 4*x).
x + 2
Expand (-3*z**2 - 2*z**4 + 3*z**2)*(-z - z + 0*z) + 20 + 6*z**2 - 20 - 2*z**5.
2*z**5 + 6*z**2
Expand (1 + 16*b - 14*b - 8)*(b**3 + 0*b**2 + 0*b**2).
2*b**4 - 7*b**3
Expand (-c - c**3 + 3*c + 3*c**3)*(-5*c + 5*c - 2*c).
-4*c**4 - 4*c**2
Expand -x + x - 2*x**2 + 3*x**2 - 4*x**2 + 0*x**2 + (3*x + 0*x - 5*x)*(x - 2 + 2).
-5*x**2
Expand (o**2 + 4*o**2 - 3*o**2)*(1 - 2 - 1) + (2*o + o - o)*(0*o - 4*o + 2*o).
-8*o**2
Expand -2*u + 2*u - 7*u + (1 - 2 + 0)*(-u + u + 3*u) + 0*u - 2*u + u.
-11*u
Expand -6*v**3 + 3*v**3 + v**3 + (-5*v + 5*v + 3*v**2)*(3*v + 2*v - 6*v + 3).
-5*v**3 + 9*v**2
Expand (-5*h + 5*h - 2*h)*(39 - 161*h + 72*h - 39).
178*h**2
Expand (4*q + 2*q - 4*q)*(2 - 1 + 1) - 2*q + 3*q - 2*q - 14 + 14 + 6*q + 2*q + 2*q - 3*q.
10*q
Expand (2*y - 2*y + 2*y)*(-3*y + 4*y + 2*y) + (-2*y + 2*y + 2*y)*(-3 + y + 3).
8*y**2
Expand (4*s**5 - 5*s**5 + 2*s**5)*(1 + 1 - 12).
-10*s**5
Expand (-22 - 26 - 10)*(3 - 1 - 3)*(3*d**3 + 0*d**3 - 5*d**3).
-116*d**3
Expand 2*f - 5*f + f + (-2*f - f + f)*(2 - 1 + 0 + 1 - 1 - 1 + (-2 + 4 + 0)*(3 - 4 + 3)).
-10*f
Expand 2 - 5*v**5 - 2 + (-3*v**2 + 3*v**2 + v**4)*(-2*v - 3*v + 4*v).
-6*v**5
Expand (6 - 169*y**3 + 166*y**3 - 14)*(-2*y + 4*y - y).
-3*y**4 - 8*y
Expand (-3*m**2 - m**2 + 3*m**2)*(4*m**2 + 2*m**2 - 2*m**2) - 5*m**4 + 0*m**4 + 2*m**4.
-7*m**4
Expand (-c + 3 + 2*c**2 - c**2 - 3*c**2)*(-5*c + 5*c + 2*c**2).
-4*c**4 - 2*c**3 + 6*c**2
Expand (2 + 4 - 3 + 2 + 2 - 6 + (4 - 1 - 4)*(5 - 2 - 4))*(4 - 4 + n).
2*n
Expand 0 - k + 1 - 2 + (5 - 4 + 2)*(k - 5*k + 2*k) - k - 1 + 1.
-8*k - 1
Expand 2*v**4 + 4*v**4 - 4*v**4 + (-1 + 0 + 0)*(v**4 + v**2 - v**2) + (-2 - 4 + 4)*(3*v**4 - v**4 + 2*v**4).
-7*v**4
Expand -c**2 + 2*c**2 - 2*c**2 + (-2*c + 2*c + c)*(c + 2*c - c).
c**2
Expand (-5 - 2 + 5)*(0*p - p + 3*p) + 0*p + 3*p - 5*p + 0*p - 8*p + 5*p.
-9*p
Expand 11 + 20*p - 1 - 23*p + (0*p + 4*p - 2*p)*(0 + 1 + 0) + 3*p - 2*p - 2*p.
-2*p + 10
Expand (3*q**4 + 2*q**4 - 2*q**4)*(5*q - 3*q - 3*q)*(3 - 5 - 1).
9*q**5
Expand 5*h**4 - 3*h**4 + h**4 + (h + h**2 - h)*(-4*h**2 + 3*h**2 - h**2) - 14*h**4 + 16*h**4 - 14*h**4.
-11*h**4
Expand (-2 - 3 + 4)*(3*k - 3*k - 2*k**3) + 3*k**3 + 0*k**3 - k**3 + (-7 - k**2 + 7)*(-3 - 4*k + 3).
8*k**3
Expand (2*k - k + 2*k)*(-1 - 2*k**3 - 4*k**3 - 2*k**3).
-24*k**4 - 3*k
Expand (-1 + 3 - 5)*(3*g**4 + 11*g**4 - 13*g**4).
-3*g**4
Expand ((5 - 5 - 2)*(-1 + 2 - 2) + 2 + 0 - 1 + 5 - 4 + 0)*(6*f**2 + 1 - 1).
24*f**2
Expand (-6*d**3 - 9*d**3 - d**3)*(-2*d**2 - 3*d**2 + 3*d**2 + 0 - d**2 + 0 + (0 - 2*d**2 + 0)*(3 - 3 + 1)).
80*d**5
Expand m - m + 2*m + (1 - 4 + 1)*(4*m - 2*m + 0*m) - 4*m + 0*m + 5*m + 2*m + 3*m - 6*m + (4*m - 3*m - 3*m)*(-1 + 3 - 4).
2*m
Expand -12*s**4 + 12*s**4 - 6*s**5 - 2*s**3 + 2*s**3 + 3*s**5 + (4*s - 4*s + s)*(s**4 + 0*s**4 - 3*s**4).
-5*s**5
Expand (-j - 3*j + j)*((-3 + 4 - 2)*(1 - 2*j - 1) + 2 + 0 + 0 - j).
-3*j**2 - 6*j
Expand (a**3 + 2*a**3 - a**3)*(3 - 4 + 2) + 0*a**3 + a**3 - 2*a**3 + 2*a**3 - 1 + 1 + 4*a**3 + a**3 - 4*a**3 + (-2*a**2 - a**2 + 2*a**2)*(-3*a - a + 3*a).
5*a**3
Expand (3*a**2 - 3*a**2 + 2*a**3)*(-1 + 14 + 1).
28*a**3
Expand (-2*f + 31*f**2 - 35*f**2 + 4*f)*(f - 3*f + f)*(4 - 2 - 1).
4*f**3 - 2*f**2
Expand -2*c**2 + 2*c**2 - 2*c**5 + (-2 + c**4 + 2)*(-c - c + c) + 3*c**5 - 2*c**5 - 2*c**5 + (-5*c + 3*c + 0*c)*(3*c - 3*c - c**4) - 3*c + 8*c**5 + 3*c.
6*c**5
Expand -q + 5*q - 2*q + (2*q - 1 + 1)*(-2 + 0 + 3) + 4*q + 0*q - 2*q + 4*q + 3*q - 5*q - 8*q - 9 + 9 - 2*q + 3*q + q + (2 - 1 + 0)*(-q + 2*q - 2*q).
q
Expand 2*n**3 - 2*n**3 - 2*n**4 + (-n**4 - 4*n + 4*n)*(-3 + 7 - 3) + 4*n**4 - n**4 - n**4.
-n**4
Expand (9*o**3 - 20*o**3 - 34*o**3)*(3 - 3 + 2*o).
-90*o**4
Expand (-n + n - 2*n)*((4*n - n - 2*n)*(-3 - 3 + 7) + 0*n + n + 0*n + 2).
-4*n**2 - 4*n
Expand (0*n**2 + 3*n**2 - 4*n**2)*(n**2 - 2*n + 2*n) + 2*n**4 + 3*n - 3*n - n**3 + n**3 - n**4 + (n - 2*n + 3*n)*(n**3 + 2 - 2) + 2*n**4 - 2*n**4 + n**4.
3*n**4
Expand (4 - 4 - t)*(-3 - 1 + 15).
-11*t
Expand -m**4 + 2*m**2 - 2*m**2 + (-3*m + 3*m - 2*m**4)*(0 + 1 + 0) - 2*m**4 + 0*m**4 + m**4 + 15*m**4 - 9*m + 9*m.
11*m**4
Expand (4*h - 4*h + 9*h)*(0*h**2 - 3*h**2 + 2*h**2).
-9*h**3
Expand (n + 0*n + 0*n)*(-4*n**2 - 2*n + 2*n)*(4 - 2*n - 4).
8*n**4
Expand (0*k - 2*k + k)*(-k + k + 2*k)*(-k + k + 2*k**2 + (1 + 2*k**2 - 1)*(-5 - 1 + 4)).
4*k**4
Expand 2*u - 2*u - u**3 + ((4 + 2*u - 4)*(2*u + u - u) - 2*u**2 + 4 - 4 + 4*u**2 + 519*u - 519*u)*(4*u - 5*u + 3*u).
11*u**3
Expand (-k**2 - k**2 + 3*k**2)*(3*k + 0*k - k) - 1358 + 74*k**3 + 1358.
76*k**3
Expand 3*m**5 + m**5 - 6*m**5 - 44*m**4 + 6*m**5 + 44*m**4 + 2*m**5 - m**5 + 0*m**5 + (-m**5 + 0*m**5 + 2*m**5)*(-2 + 5 - 1) - 2*m**5 + m**5 + 0*m**5.
6*m**5
Expand (14*d + 20*d - 42*d - 9)*(0*d**2 + d**2 + d**2).
-16*d**3 - 18*d**2
Expand (0 + m**3 + 0*m**3 - 2)*(-4*m + 0*m + m).
-3*m**4 + 6*m
Expand -5*y**2 + 4*y**2 - y**2 + (y + 2*y**2 - y)*(7 - 2 - 3) + y**2 + y**2 + 0*y**2 + y**2 + 4*y**2 - 3*y**2.
6*y**2
Expand (-4*f + 2*f + 3*f)*(-2*f**4 - 2*f**4 + 0*f**4) + 3*f**5 + 0*f**5 - 2*f**5 + (-2*f - f + 2*f)*(-2*f**3 + 2*f**4 + 2*f**3).
-5*f**5
Expand (i**3 + i**3 - 4*i**3)*(-2*i - 2*i + 5*i + (-3 - 2*i + 3)*(-1 + 3 + 0)).
6*i**4
Expand (2*w**3 + 82 - w**3 - 84)*(1 - 1 - 2).
-2*w**3 + 4
Expand (2*x**2 + 2 - 2)*(3*x**2 - 3*x**2 + x**2) - 2*x**4 + 2*x**4 + 8*x**4 + (-4 + 1 + 1)*(-x**4 + x**4 - x**4) + 3 - 3 - x**4.
11*x**4
Expand (-b**2 - 3*b**2 + 3*b**2 + (3*b + 0*b - 2*b)*(-3*b + 0*b + 5*b) - 4*b**2 + 4*b - 4*b)*(-b**2 + 5*b**2 - 2*b**2).
-6*b**4
Expand (13 + 3 + 29)*(d + 4 - 4) + 2 - 3*d - 2.
42*d
Expand (33*w**4 + 19*w**4 - 40*w**4)*(-w + 2*w + 0*w).
12*w**5
Expand (2 - 3 - 2)*(1 - 1 + 4)*(-1 - 2*v + 1).
24*v
Expand -m**2 - m + m - 3*m**2 + m**2 + 4*m**2 + (-2*m**2 - 2*m**2 + 2*m**2)*(3 - 1 - 4) + m**2 + m**2 - 3*m**2 + m**2 + 0*m**2 - 2*m**2.
3*m**2
Expand (2*p + 0*p - 3*p + 1)*(-37*p**2 + 0 + 6 - 8).
37*p**3 - 37*p**2 + 2*p - 2
Expand -3*g**2 - 2*g**4 - 3*g**2 + 4*g**2 + (-3 - 2 + 6)*(-4*g**4 - g**4 + 4*g**4) + g**4 - 5*g**4 + 2*g**4 + 1 + 2*g**4 - 1.
-3*g**4 - 2*g**2
Expand (4 - 4 - 4*y)*(-7*y**3 - 3*y**4 - 10*y**3 + 13*y**3).
12*y**5 + 16*y**4
Expand (2 - 2*y - 2)*(-10*y**3 + 2 + 2 + 8*y**3).
4*y**4 - 8*y
Expand (x + 8*x**3 - x)*(3 - 4 + 2) + 4*x**3 + 3*x**3 - 5*x**3.
10*x**3
Expand (4 - 4 + 4)*(3*v + v - 5*v - 4*v + 2*v + 0*v + (-5 + 2 + 4)*(3*v - 3*v - v)).
-16*v
Expand (2*q**2 + q**2 - 5*q**2)*(-q**2 + 0*q**2 + 0*q**2) + (5*q - 5 + 5)*(3*q**3 - 4*q**3 - q**3).
-8*q**4
Expand (2*l**2 + 5*l**2 - 6*l**2)*(-2*l + 7*l + 0*l + (0*l + 4*l - 3*l)*(2 - 3 + 0) + 3*l + 2*l - 7*l + 2*l - 2*l - l).
l**3
Expand (0 - 5 + 3)*(-w**3 + 3*w**2 - 3*w**2 + (-1 + 4 - 2)*(3*w**3 + 0 + 0)).
-4*w**3
Expand (m**2 + m**2 - 4*m**2)*(0*m + m - 2*m) - m**3 - 4 + 4.
m**3
Expand 2*q**5 - 2*q**2 + 2*q**2 - 2*q**2 + (-q + 0*q + 0*q)*(6*q**4 - q**4 + q**4).
-4*q**5 - 2*q**2
Expand (0*j - j + 5*j + (j + j - 3*j)*(3 - 1 + 0))*(-4*j**2 + 6*j**2 - j**2).
2*j**3
Expand (-13*b - b + 3*b)*(-2*b**2 - 4*b**2 + 4*b**2) + (0*b + 6*b - 4*b)*(-3*b**2 + 5*b**2 - 3*b**2).
20*b**3
Expand 0*s + 0*s + 2*s**3 + (-2*s + 2*s + s)*(-3 + 3 - 3*s)*(s + 28 - 28).
-s**3
Expand (7 + 9 - 17)*(t**3 - t + t) + (0*t - t + 3*t)*(t**2 - t**2 - 2*t**2) + t**3 + 0 + 0.
-4*t**3
Expand (-w**2 - 3*w**2 + 3*w**2)*(-4*w + 4*w + w**2) - 2*w**2 - 11*w**4 - 6*w**4 + 4*w**2.
-18*w**4 + 2*w**2
Expand (3*a**5 + a**5 - 13*a**5)*(4 + 1 - 3)*(-4 + 1 + 2) - 1 + 2*a** | {
"pile_set_name": "DM Mathematics"
} |
alue? (a) 2/13 (b) -1 (c) -0.5 (d) -0.1
d
What is the biggest value in -4, 47, -3/4, 4, 8?
47
What is the second smallest value in -4, -5, -0.1, 5?
-4
Which is the fifth smallest value? (a) -1/2 (b) -4 (c) -2/15 (d) -1/4 (e) -42
c
What is the biggest value in -5, 5, -0.64?
5
What is the third smallest value in 0, -31, -4?
0
What is the third biggest value in -3/2, 3, -0.0536?
-3/2
What is the second smallest value in -4/9, 0.4, -5, 2/3, 3/4?
-4/9
What is the second biggest value in -5, 64, 4, -3/4?
4
Which is the second smallest value? (a) 8 (b) 3 (c) -13
b
Which is the fourth smallest value? (a) 0.4 (b) 1 (c) 4/11 (d) 3/5
b
What is the biggest value in 5, 128, 1/4, -14?
128
What is the third biggest value in -36/5, -5, -0.072, -3?
-5
What is the second smallest value in 1/3, -5, 22, -0.2?
-0.2
What is the second smallest value in 2/25, -0.6, -7?
-0.6
Which is the smallest value? (a) 2.25 (b) 12 (c) -2/11
c
What is the second biggest value in -0.4, 0.4, -2.93?
-0.4
What is the fourth smallest value in 2/287, 0.3, -0.4, -3?
0.3
Which is the second smallest value? (a) 3/2 (b) -153 (c) -0.5
c
What is the smallest value in -4, -10, 5?
-10
What is the fifth biggest value in -5, 2/5, 64, -0.1, 0.1?
-5
Which is the smallest value? (a) -2/15 (b) 2 (c) -2
c
What is the second smallest value in 108/7, 0.4, -0.3?
0.4
What is the fourth smallest value in 2.4, -4, -2/3, 2, -0.5?
2
What is the biggest value in 0.2, 2/13, 0.3, 37, 12/11?
37
What is the second smallest value in -3/7, 11, -9, -0.3?
-3/7
Which is the second biggest value? (a) 2/9 (b) 13 (c) -0.1 (d) -3
a
Which is the fourth smallest value? (a) 3 (b) -5 (c) 5 (d) -0.1
c
Which is the second smallest value? (a) -2/13 (b) -2/5 (c) -3 (d) 6 (e) -9
c
Which is the third biggest value? (a) -5 (b) -1863 (c) 1/4 (d) -0.1
a
What is the second smallest value in -1, 3/8, -3237, 2/21?
-1
What is the third biggest value in -5/3, -287, -0.3?
-287
What is the fourth smallest value in -2/7, -12, 13, -2?
13
Which is the second biggest value? (a) 5 (b) 915 (c) -0.2
a
What is the smallest value in -3, -4, -2.4, -2/19?
-4
What is the third smallest value in 0.0459, -0.3, 0.3, 0?
0.0459
Which is the fourth biggest value? (a) -0.5 (b) -0.4 (c) 1.44 (d) 19 (e) 3/5
b
Which is the second biggest value? (a) 1.3 (b) 3 (c) 1/2
a
What is the second biggest value in 0, -21, 10?
0
Which is the second biggest value? (a) 3/5 (b) -6 (c) -2/3 (d) 2/13 (e) 3
a
What is the second biggest value in -0.0027, 0.5, -2/15?
-0.0027
What is the smallest value in 4, -79, 5?
-79
Which is the third smallest value? (a) 1/3 (b) -1.8 (c) 1/5 (d) 1/9
c
What is the smallest value in 0.3, 36.8, -1?
-1
Which is the third biggest value? (a) -0.1 (b) 2 (c) -0.2 (d) 0.99 (e) 1
d
What is the third smallest value in -0.01, 2, 5, 85, 4/5?
2
What is the smallest value in -4.3, 1/2, 0.4, -4/7?
-4.3
What is the second biggest value in 14, -3, -0.4?
-0.4
Which is the fourth smallest value? (a) -4/7 (b) 0.3 (c) 3 (d) -0.2 (e) 16
c
What is the second smallest value in 6, 2, 5, -5?
2
What is the second smallest value in -20, 1, 0.3?
0.3
What is the second biggest value in 1, -3, 0.1, 0.2?
0.2
What is the smallest value in 0.079, -0.3, -4/3?
-4/3
Which is the second biggest value? (a) -7 (b) -0.2 (c) 2 (d) -9
b
Which is the biggest value? (a) -3 (b) 0.4 (c) 1.6 (d) -8/7 (e) -1
c
What is the third biggest value in 0.04, 0.05, 2, 2/5?
0.05
What is the second biggest value in 3, -0.7, -33?
-0.7
What is the smallest value in 2/5877, 0.06, 4?
2/5877
Which is the fourth smallest value? (a) 0 (b) -5 (c) -9/86 (d) -4/3
a
What is the second smallest value in 8/143, 4, 0.5?
0.5
What is the second biggest value in 3/5, -10, -0.3, -0.4?
-0.3
Which is the second smallest value? (a) -6 (b) -1/10 (c) 1/7
b
What is the third biggest value in -0.5, 4, 0.1974?
-0.5
What is the biggest value in -2, -2/23, 5?
5
What is the second biggest value in -0.192, 0, 4/7?
0
Which is the biggest value? (a) -3 (b) -2/7 (c) 1/2 (d) -6
c
Which is the second smallest value? (a) -0.1 (b) -11 (c) -20
b
What is the second biggest value in 2.2, -5, -2/9?
-2/9
What is the second biggest value in -5, 2, -49?
-5
What is the smallest value in -16/35, 1, -14?
-14
What is the biggest value in -0.1, 1/2, 2/5, -16?
1/2
What is the smallest value in -0.2, 2/9, 0.1, -2/33, -2/7?
-2/7
Which is the fourth biggest value? (a) 9/2 (b) -1/4 (c) 0.5 (d) -2
d
Which is the biggest value? (a) 2 (b) 16/5 (c) 3/2
b
What is the fourth smallest value in 346/7, 3, 0.5, 0.4?
346/7
What is the third biggest value in -0.03, 1, 5, 2/11?
2/11
What is the fourth smallest value in -3, -5, -416, 2/13?
2/13
Which is the fourth smallest value? (a) -2/11 (b) 0.4 (c) -28.6 (d) -2 (e) -6
a
Which is the smallest value? (a) -0.5 (b) 1/7 (c) -0.3 (d) 37
a
Which is the third biggest value? (a) -1/3 (b) 2/5 (c) -0.1 (d) -15 (e) 2/291
c
Which is the second biggest value? (a) 3 (b) -0.5 (c) -2 (d) 9 (e) -1
a
What is the second biggest value in 13, -0.5, -5, 3?
3
What is the second smallest value in 3/7, 131.9, -2, -4?
-2
What is the second biggest value in 0.5, -0.1, 1, -11?
0.5
What is the fourth biggest value in 1, -2/9, 2/19, 0.3?
-2/9
What is the smallest value in 1, -39, -5?
-39
Which is the third biggest value? (a) 4 (b) -1 (c) 3 (d) 1/55
d
What is the second smallest value in 5, 2, 1.658, -0.4?
1.658
What is the second biggest value in 52, -3, 2?
2
Which is the biggest value? (a) 94 (b) -2/15 (c) -0.2
a
Which is the second smallest value? (a) -4 (b) 2/7 (c) 2 (d) -2
d
Which is the second smallest value? (a) 3/5 (b) 0.3 (c) 2/7 (d) -15
c
Which is the third biggest value? (a) 2/5 (b) -9 (c) -1/9 (d) 3/7
c
Which is the third smallest value? (a) -1/3 (b) -1.49 (c) 0.5
c
What is the third biggest value in 853, -0.4, -0.2, 3/4?
-0.2
Which is the biggest value? (a) 2/17 (b) 2 (c) -2 (d) 0.4
b
What is the second biggest value in 1.3, 0, -0.3, 5, 0.3?
1.3
Which is the third smallest value? (a) -1/3 (b) 5/3 (c) 0.7
b
What is the second biggest value in -1, 2/17, -3/5?
-3/5
What is the second biggest value in 0.1, 3, -4, 0.28?
0.28
What is the second biggest value in -0.1, 2/3, -1, 36?
2/3
What is the third biggest value in -0.4, 0.2, -5/673?
-0.4
Which is the fourth biggest value? (a) 2 (b) -1/4 (c) -5 (d) 3
c
What is the third biggest value in 0.092, 0.3, 5, -1/2, 2/13?
2/13
What is the third biggest value in 0.5, 2, 87?
0.5
What is the third smallest value in 0, 2, -5.2, 4?
2
What is the fourth biggest value in -1, 11.2, 0.5, 3/5?
-1
Which is the fifth smallest value? (a) 2/5 (b) -0.2 (c) 4 (d) -1/2 (e) 9
e
What is the third biggest value in -2, 0, -5.1?
-5.1
Which is the biggest value? (a) 5/6 (b) -2/9 (c) 2/25
a
Which is the third smallest value? (a) 0.2 (b) 0 (c) 2 (d) -1/3
a
What is the third smallest value in -25, -2/5, 0?
0
Which is the smallest value? (a) 0 (b) 5 (c) 3/7 (d) 0.72
a
What is the smallest value in 1/4, -0.3, 4/5, 2?
-0.3
What is the second smallest value in -23, 4, 25?
4
Which is the fourth smallest value? (a) 1/11 (b) 1/96 (c) 4 (d) 3/8 (e) 5
c
What is the third biggest value in -2/3, 0.3, -0.0137, 0.11?
-0.0137
What is the smallest value in -2, 19, 4, 2?
-2
Which is the third smallest value? (a) -2 (b) -0.05 (c) -0.3 (d) -2/7
d
Which is the third smallest value? (a) -1/7 (b) 0.1 (c) 25
c
What is the third smallest value in 2/9, -4/5, 19/2, -0.2?
2/9
Which is the fifth smallest value? (a) 2/11 (b) 4 (c) 1/106 (d) -0.11 (e) 0.4
b
What is the fourth biggest value in 0.1, 2, -20, -0.38?
-20
What is the fourth biggest value in -0.4, -2, 0.3, 3/32?
-2
What is the second smallest value in 0.1, 0.08, -1/3, 36?
0.08
What is the third smallest value in 1/2, 0.03, 1/7?
1/2
What is the third smallest value in 2/109, 1, -1/11, 4?
1
What is the fourth smallest value in 616, -3, 0.3, -0.2?
616
What is the biggest value in 0.1, -2/19, -1?
0.1
What is the fifth biggest value in 0.9, -3, 3, 5, -3/5?
-3
Which is the second smallest value? (a) 2/21 (b) -2/27 (c) 4
a
Which is the fourth biggest value? (a) -20 (b) 5 (c) 3.9 (d) -4
a
What is the fourth | {
"pile_set_name": "DM Mathematics"
} |
j**(481/462)
Simplify k**(-33)*k*(k/k**(-2/77))/k assuming k is positive.
k**(-2462/77)
Simplify (h**1)**(-1) assuming h is positive.
1/h
Simplify (d**(-11)*d)/(d*d**(-5/8)*d) assuming d is positive.
d**(-91/8)
Simplify x**3*x**6*(x**(-1))**(-1/20) assuming x is positive.
x**(181/20)
Simplify w*w/w**(-38)*(w*w/(w*w/(w**(17/5)/w)))/w assuming w is positive.
w**(207/5)
Simplify (i**(-14)/i)/(i*i**11*i) assuming i is positive.
i**(-28)
Simplify (f*f/((f/(f/(f**0*f)))/f)*f*f*f**(-5/2))/(f*f**(2/3))**(4/3) assuming f is positive.
f**(-13/18)
Simplify (((y/(y*y/(y/(y*y**(4/5)*y*y)*y)))/y*y)/y**(1/6))/(y**(-1/4)*y**0) assuming y is positive.
y**(-163/60)
Simplify ((w/(w**(-5)/w))/w*w**(2/3)*w)/(w*w**3*w/(w/(w/(w*w*w**(3/5)*w)*w)*w)) assuming w is positive.
w**(94/15)
Simplify x**(1/14)/(x/(x/(x**(-2/11)*x))) assuming x is positive.
x**(-115/154)
Simplify (h**(2/3)*h*h)/(h/((h*h*h**1)/h))*h**(-1/3)/h*h*h*h*h**5 assuming h is positive.
h**(31/3)
Simplify ((l**(3/2)/l)/l*l*l)/((l/l**(1/19)*l)/l) assuming l is positive.
l**(21/38)
Simplify (x*x**(-1/11)*x)/((x/x**(-34))/x*x) assuming x is positive.
x**(-364/11)
Simplify ((f*f/f**(1/2))/f*f*f*f)**(-11/6)/((f**(-2/3)*f*f)/(f/f**(2/9))) assuming f is positive.
f**(-251/36)
Simplify ((d*(d**(-1)/d)/d)**(8/11))**39 assuming d is positive.
d**(-624/11)
Simplify (r*r**(-12/11)*r*r**(-10/3)/r)**50 assuming r is positive.
r**(-5650/33)
Simplify (l*l*l*l/((l/l**22)/l))/(l/(l*l/(l**(2/29)*l))) assuming l is positive.
l**(752/29)
Simplify (m**(-12)/m**(-3/2))**(-7/4) assuming m is positive.
m**(147/8)
Simplify (p*p**(3/4)*p*p**(-3)*p)**(-37) assuming p is positive.
p**(-111/4)
Simplify m*m**(-1/21)*m*m/(m*m**8) assuming m is positive.
m**(-127/21)
Simplify ((b/(b/(((b/b**(2/69))/b)/b*b)))/b)/(b*b**(3/2)) assuming b is positive.
b**(-487/138)
Simplify m**(-2/85)/m**(-28) assuming m is positive.
m**(2378/85)
Simplify (p**1)**(15/2)/(p**1)**7 assuming p is positive.
sqrt(p)
Simplify l**16/l**(-2) assuming l is positive.
l**18
Simplify ((m**(-2/27)*m)/((m/(m**(7/5)*m))/m))**(-8/13) assuming m is positive.
m**(-3592/1755)
Simplify k**5/(k*k*k*k**(-4)*k) assuming k is positive.
k**5
Simplify (f**(1/2)*f*f*f**(5/4))**5 assuming f is positive.
f**(75/4)
Simplify (f/(f*f/((f*f/f**(-10))/f))*f*f*f/(f**(4/7)/f))**(-2/7) assuming f is positive.
f**(-188/49)
Simplify u*u**(-9/5)*u**(-30) assuming u is positive.
u**(-154/5)
Simplify (k*(k**(-1/5)/k)/k)**(-20) assuming k is positive.
k**24
Simplify ((q*(q*q**(-2/25)*q)/q)/(q*q*q**(-1/7)))**(2/13) assuming q is positive.
q**(22/2275)
Simplify ((((n**(3/4)*n)/n)/n*n)/n**(2/3))/(n**8/(n/n**(-3/10))) assuming n is positive.
n**(-397/60)
Simplify (((w/(((w*w**(-1/4)/w*w)/w)/w))/w)/((w*w*w**4)/w))/(w**(-2/35)/w**8) assuming w is positive.
w**(603/140)
Simplify b**(3/11)*b*b/(b*b**19*b) assuming b is positive.
b**(-206/11)
Simplify (n/n**(-34)*n)**31 assuming n is positive.
n**1116
Simplify (k/(k*k**(-1/2)))**22/((k/((k*(k/k**(-3/7))/k*k)/k))/k*k/k**(-1/2)) assuming k is positive.
k**(153/14)
Simplify (q**4*q*(q*q*q*q/q**(-10)*q*q*q)/q*q)**32 assuming q is positive.
q**704
Simplify j**(1/13)/(j/(j/j**6))*((j**(2/7)/j)/j)/j**(-6) assuming j is positive.
j**(-149/91)
Simplify (n/(n**(-8)*n))/n**(-36) assuming n is positive.
n**44
Simplify ((d*d**(2/11))**(6/17))**(4/11) assuming d is positive.
d**(312/2057)
Simplify a**19*a/a**(-1/42) assuming a is positive.
a**(841/42)
Simplify ((r/r**2)**(7/10))**4 assuming r is positive.
r**(-14/5)
Simplify w/(w*w**(3/4))*w*w**3*w**0*w/(w/(w/(w*((w*w/(w/(w*w/(w**(1/3)*w)*w)))/w*w*w)/w))) assuming w is positive.
w**(7/12)
Simplify (g**(1/14)*g/g**10)/((g**4*g*g)/(g/(g**(-2/13)/g))) assuming g is positive.
g**(-2325/182)
Simplify (u*u*u/u**20)**(5/9) assuming u is positive.
u**(-85/9)
Simplify (r**1)**(17/3)/(r/((r/r**(2/9))/r)*r*r*r/(r/r**(-2/15))) assuming r is positive.
r**(116/45)
Simplify ((i/i**(2/5))**21)**(1/43) assuming i is positive.
i**(63/215)
Simplify (s**(-2/3)/s*s)**(-41)/(s*s*s*((s**(-3)*s)/s*s)/s*s*(s*s**(4/7))/s) assuming s is positive.
s**(541/21)
Simplify (p*p**(-1/19)*p*((p*p*p*(p*p*(p/(p*p*p**(2/5)*p))/p)/p)/p)/p)/(p**4/p**(-7/4)) assuming p is positive.
p**(-1977/380)
Simplify (h*(h*h/(h*h/(h/h**(-1))*h*h))/h)**(-7)/(h**(-1/2)/((h/(h/((h/((h*h/h**(-2/5)*h*h)/h))/h))*h)/h)) assuming h is positive.
h**(-29/10)
Simplify l**11/(l*l**(-2/27)) assuming l is positive.
l**(272/27)
Simplify (k**(-2))**43 assuming k is positive.
k**(-86)
Simplify (d*d**(1/12)*d)**(-29/2) assuming d is positive.
d**(-725/24)
Simplify (h*h*h**(2/3)*h*h*h*(h*h**(-2/13))/h)/(((h**0/h)/h)/(h**(-6)/h)) assuming h is positive.
h**(20/39)
Simplify g**0/(g*g**(-5))*(g**0)**(2/33) assuming g is positive.
g**4
Simplify ((s*(s/(s/(s**(-5/2)*s)*s))/s*s*s*s)/(s*s**(2/15)))**(15/7) assuming s is positive.
s**(-19/14)
Simplify (o**(-2/7)/o*(o/(o*o**(-2/7)))/o)/(o**(-2/5))**(1/9) assuming o is positive.
o**(-88/45)
Simplify d/d**(7/2)*(d*((d*d*d**(13/2))/d)/d)/d*d assuming d is positive.
d**5
Simplify (v/(v**(-1/5)/v*v))**25 assuming v is positive.
v**30
Simplify (m*m**(-3/4))/m**10 assuming m is positive.
m**(-39/4)
Simplify k**(-1)*k*k*k/(k*k**(1/2)/k)*(k/(k*k/(k**5*k)*k)*k*k)/k*k**(2/5) assuming k is positive.
k**(69/10)
Simplify (g**(1/70)*g)**11 assuming g is positive.
g**(781/70)
Simplify (m/(m*m**2))**(-12)*(m/m**(1/5))**(-2/117) assuming m is positive.
m**(14032/585)
Simplify (d**(-20/3)*d)**(5/19) assuming d is positive.
d**(-85/57)
Simplify u**(-2/7)/(u/u**(-1/7))*u**(2/17)/u**(-4/7) assuming u is positive.
u**(-88/119)
Simplify ((k**3*k*k)/k)/(k/k**(-6)) assuming k is positive.
k**(-3)
Simplify (r**(-2/5))**(-5/4)*r**5/r*r*r*(r**3*r*r)/r assuming r is positive.
r**(21/2)
Simplify (z**(1/3))**(-40)*(z/(((z*z**2)/z*z)/z))**(-29/5) assuming z is positive.
z**(-113/15)
Simplify (n*n/n**(-2/13))/((n**2/n*n*n*n)/n) assuming n is positive.
n**(-11/13)
Simplify (x**18*(x*(x/(x*x**3*x)*x)/x)/x)**(-1/13) assuming x is positive.
x**(-14/13)
Simplify (p**(1/2)/p)**(-29)/(p/p**1*p/p**(-1/4)) assuming p is positive.
p**(53/4)
Simplify ((((v/(v/(((((v/(v*v**(-5/3))*v)/v)/v)/v)/v)))/v)/v)/v*v/((v/(v*v*v**2/v*v*v))/v))**(2/21) assuming v is positive.
v**(10/63)
Simplify f*f**(-1)*f/((f*(f*f/(f/f**(-5/3)))/f)/f)*((((f*f**(-2/3))/f)/f)/f)/((f/(f/(f**(1/6)*f)))/f) assuming f is positive.
f**(-1/6)
Simplify (s**(2/13)*s*s)**(-17) assuming s is positive.
s**(-476/13)
Simplify ((o/(o*o/o**4))/(o**(1/3)*o*o))**(-2/3) assuming o is positive.
o**(-4/9)
Simplify (d**1)**(-6)/(d**(-6)/d**(2/5)) assuming d is positive.
d**(2/5)
Simplify (((w*w/(w*w**0/w))/w*w)/w)**(-2/25)*w**(-1/2)/((w*((w**4/w)/w*w)/w)/w*w) assuming w is positive.
w**(-179/50)
Simplify (((p**(2/17)/p)/p)/p*p**(-2/5)/p)/(p**1)**(1/16) assuming p is positive.
p**(-5909/1360)
Simplify (z/(z*z/(z*z**(-3))))**(-5/11)/(z**4*z*z**(-2/5)) assuming z is positive.
z**(-178/55)
Simplify b**(6/17)/b**(-6) assuming b is positive.
b**(108/17)
Simplify h**(-6/11)*h**(-9) assuming h is positive.
h**(-105/11)
Simplify (i*i**(4/9)*i*i/(i*i*i**(-1/8)*i))**(-1/18) assuming i is positive.
i**(-41/1296)
Simplify (m**4/(m/(m/(m/(m/m**(2/9))))))**(-2/125) assuming m is positive.
m**(-68/1125)
Simplify ((p/(p*p**(3/8)))**(3/40))**(-6/19) assuming p is positive.
p**(27/3040)
Simplify ((v**(1/4)*v)/((v/(v**(-2/5)*v))/v))/((v*v/v**7)/(v/(v*v/v**(-5))*v)) assuming v is positive.
v**(37/20)
Simplify (f**(-3)*f*f**2)/(f**(-2)/(f*f**(-1/4)*f)) assuming f is positive.
f**(15/4)
Simplify k**(-25)/(k**(-7)*k*k) assuming k is positive.
k**(-20)
Simplify ((o*o**(-2))/(o/(o**(-4/9)*o)))**(-11/9) assuming o is positive.
o**(143/81)
Simplify t**(2/15)/t*t**6/t assuming t is positive.
t**(62/15)
Simplify (a*a**(-2/5)*a)**(7/2)*a**(-5)/(a**(-6)*a*a) assuming a is positive.
a**(23/5)
Simplify (k*(k*(k/(k*k**(-1/2)))/k)/k*k*k/((k**(-3)/k)/k))**(1/15) assuming k is positive.
sqrt(k)
Simplify r**9*r/(r*r/(r**(20/7)/r)) assuming r is positive.
r**(69/7)
Simplify o**(-4/7)/(o/(o**(-4)*o)*o) assuming o is positive.
o**(-39/7)
Simplify ((x/(x*x**(-5)*x))/x**(4/5))/(x**0)**42 assuming x is positive.
x**(16/5)
Simplify f/(f/((f**(-6)*f)/f))*f**1*((f*f*f*f/(f*f**4))/f)/f**(2/11) assuming f is positive.
f**(-79/11)
Simplify ((p**(-1/10)*p)/(p*p**(1/5)*p))/((p*((p*p*p**(-2/ | {
"pile_set_name": "DM Mathematics"
} |
2. Let g(p) = -782*p**2 - 23*p - 23. Give 2*g(f) - 23*z(f).
69*f**2
Let p(c) = -3*c - 3. Suppose -2*u = y + 26, y + 42 = -4*u + 4*y. Let d = u - -7. Let n(f) = 4*f + 4. Give d*p(k) - 4*n(k).
-k - 1
Let j(x) = 4*x**3 + 7*x**2 + 6*x + 8. Let a(c) = -9*c**3 - 15*c**2 - 13*c - 17. Suppose -2*f - 26 = 2*s, -2*s - 4*f = 3*s + 65. Calculate s*j(l) - 6*a(l).
2*l**3 - l**2 - 2
Let g(m) = 10 - 3*m - 1 - 8 + 4. Let u(r) = -4*r + 6. Calculate 5*g(f) - 4*u(f).
f + 1
Let m(f) be the second derivative of f**4/4 - f**3/2 - f**2/2 + 14*f. Let r(u) = 16*u**2 - 16*u - 5. Give 11*m(s) - 2*r(s).
s**2 - s - 1
Let t(c) = -19*c - 1. Let x(l) = 19*l + 1. Give 4*t(v) + 5*x(v).
19*v + 1
Let y(h) = -6*h - 1. Let q(s) = 13*s + 2. Determine -2*q(j) - 5*y(j).
4*j + 1
Suppose 36*z - 12 = 39*z. Let h(c) = 3 - 1 + 3*c - 3. Let j(k) be the second derivative of -k**3/6 - k. Determine z*j(u) - h(u).
u + 1
Let x(y) = -1. Let o(p) = p**3 - p**2 - p. Let r be o(-1). Let i(d) = -6*d - 6. Let f(k) = 5*k + 6. Let c(q) = 5*f(q) + 4*i(q). Give r*c(w) - 5*x(w).
-w - 1
Let p(u) = u - 2. Suppose -2 = 3*j - j. Let q(n) = 3*n**3 - 1. Let v be q(j). Let l(w) = 3*w - 6. Give v*l(m) + 11*p(m).
-m + 2
Let z(g) = 2*g**2 - 1. Let q(a) = 6*a**2 - a - 4. Let j be (-1)/1*(11 - 9). Determine j*q(t) + 7*z(t).
2*t**2 + 2*t + 1
Let u(a) = -2*a**2 - 4. Let c(y) = -y. Let n(h) = -3*c(h) + u(h). Let q(d) = -d + 1. Calculate -n(o) - 5*q(o).
2*o**2 + 2*o - 1
Let p(u) = -4*u**2. Let k(w) = 2 - 1 - 1 + 1 + 5*w**2. What is -3*k(f) - 4*p(f)?
f**2 - 3
Let o(h) be the first derivative of 0*h**4 + 2 + h - h**4 - 3 - 8*h. Let k(r) = -r**3 - 2. Determine -22*k(z) + 6*o(z).
-2*z**3 + 2
Let z be -2 - -9 - (-2)/1. Let c(l) = 3*l**3 + 2*l**2 - l. Let s(u) = -13*u**3 - 9*u**2 + 4*u. Let n be 24/(-12) - (-3 - 1). What is n*s(m) + z*c(m)?
m**3 - m
Let y be ((-6)/(-4))/((-3)/(-4)). Let j = 44 + -42. Let n(f) = j*f**y - 8 + 3 + 3 - f**2. Let u(c) = -c**2 + 2. Calculate -6*n(l) - 7*u(l).
l**2 - 2
Let j = -6 - -1. Let s(a) = -2*a**3 - 4*a**2 - a. Let f(w) = 3*w**2 + 2*w + 4*w**2 + 0*w**2 + 3*w**3 - w**2. Give j*f(t) - 8*s(t).
t**3 + 2*t**2 - 2*t
Suppose 3*t + 5*q - 8 = 0, 2*t + 4*q + 4 = 12. Let y(a) be the first derivative of -a**2/2 - a + 1. Let j(u) = -u + 3*u - 2 - 5*u. Calculate t*y(g) + j(g).
g + 2
Let m(j) = 2*j + 2. Let w(g) = 6*g - 3*g - g - 3 - 3*g. Give 3*m(l) + 2*w(l).
4*l
Let d(w) = 4*w + 5. Let f(o) = -3*o - 4. Give -2*d(n) - 3*f(n).
n + 2
Let d(o) = -o**2 + o + 1. Let c(r) = 5*r + 5. Determine c(v) - 4*d(v).
4*v**2 + v + 1
Let m be ((-6)/(-9))/(2/6). Let p(v) = 2*v. Let i(k) = -k. Determine m*p(z) + 3*i(z).
z
Let y(o) = -5*o**3 - 16*o**2. Suppose 0 = -5*j - 4*i + 75, -2*i - 7 = 5*j - 72. Let h = 0 + j. Let c(u) = -u**3 - 3*u**2. Determine h*c(q) - 2*y(q).
-q**3 - q**2
Let v(y) = -1 - 3*y - y**2 - 8 + 8*y**2 - 3*y. Let c(u) = 15*u**2 - 13*u - 19. Give 6*c(w) - 13*v(w).
-w**2 + 3
Let s(z) = -22*z**2 - 2*z + 1. Let y(i) = -87*i**2 - 9*i + 4. Give -9*s(u) + 2*y(u).
24*u**2 - 1
Let w(z) = -4*z**3 + 4*z**2 - 5*z - 5. Let u(m) = -6*m**3 + 6*m**2 - 8*m - 8. Let v = -20 - -25. Calculate v*u(p) - 8*w(p).
2*p**3 - 2*p**2
Let s(c) = -c + 1. Let w(m) = -5*m + 5. Suppose 4*q = 4*h - q + 21, 5*h - 2*q + 22 = 0. Calculate h*s(a) + w(a).
-a + 1
Let n(j) = j**2 - j. Let y(d) = -d. Let u(k) = -9*k - 32. Let l be u(-4). Determine l*y(g) - 4*n(g).
-4*g**2
Let w(y) = -2*y**2 - 2*y + 4. Let t(a) be the third derivative of a**5/6 + 5*a**4/12 - 7*a**3/2 + 7*a**2. Suppose -6*z + 3*z - 6 = 0. Give z*t(k) - 11*w(k).
2*k**2 + 2*k - 2
Let v be 22/6 + (-2)/3. Let p(w) = 2*w. Let h(x) be the third derivative of 0*x + 1/12*x**4 + 0 - x**2 + 0*x**3. Give v*p(i) - 2*h(i).
2*i
Let j(n) = 14*n**2 + 2*n - 1. Let d(z) = -13*z**2 - 2*z + 1. What is -5*d(u) - 6*j(u)?
-19*u**2 - 2*u + 1
Let u(x) = -6*x - 2. Let r(b) = 11*b + 3. Give 3*r(c) + 5*u(c).
3*c - 1
Let f(v) = 11*v - 5. Let l = 25 - 0. Suppose -5*a - l = 5*h, 26 = -3*a + h - 1. Let r(z) = -7*z + 3. Calculate a*r(u) - 5*f(u).
u + 1
Let m(z) = -4*z - 1. Let b(w) = -1. Determine 2*b(n) - m(n).
4*n - 1
Let r(u) = 2*u - 9. Let s(q) = 3*q - 10. Give 5*r(f) - 4*s(f).
-2*f - 5
Let o(j) = 3*j + 21. Let a(t) = t + 10. Give -9*a(k) + 4*o(k).
3*k - 6
Let h(f) = 41*f**2 - 6. Let v(w) = -2256*w**2 + 329. Determine -329*h(s) - 6*v(s).
47*s**2
Let n(f) = 2*f**3 - 5*f**2 + 0*f**3 + 3*f**3 + 2*f**3 - 5*f. Let x(i) = -6*i**3 + 4*i**2 + 4*i. Determine -5*n(d) - 6*x(d).
d**3 + d**2 + d
Let a(b) = 7*b**3 - b**2 - 5*b - 9. Let l be (-11)/2 - (-7)/14. Let g(d) = -4*d**3 + d**2 + 3*d + 5. Calculate l*g(w) - 3*a(w).
-w**3 - 2*w**2 + 2
Let c(m) = -9*m**2 - 7*m. Let o(p) = p**3 - 10*p**2 + 7*p + 16. Let t be o(9). Let k(x) = 3*x**2 + 2*x. What is t*c(f) - 7*k(f)?
-3*f**2
Let o(c) = -23*c**2 - 3*c - 2. Let m(v) = 24*v**2 + 4*v + 3. Give -3*m(x) - 4*o(x).
20*x**2 - 1
Let s(d) = 5*d + 8. Suppose -v - 3 = p - 2, 4*p - 5 = 5*v. Let w(r) be the third derivative of 0 + r**2 + p*r - 1/2*r**3 - 1/12*r**4. Give 4*s(l) + 11*w(l).
-2*l - 1
Suppose -3*h = 62 - 2. Let s = h + 11. Let j(r) = 5*r + 9. Let v(c) = 3*c - 9. Let y(m) = -5*m + 14. Let a(x) = 8*v(x) + 5*y(x). Determine s*a(l) - 2*j(l).
-l
Suppose -3*m + 3*w + 12 = 0, -20 = 2*m - 7*m - 3*w. Let f be 6/(-24) + 25/m. Let u(t) = -13*t + 13. Let l(z) = 7*z - 7. Determine f*u(b) + 11*l(b).
-b + 1
Let j be -1*0*(-2)/(-6). Suppose j = 3*n - 10 - 5. Let y(h) = 5*h**2 - h + 4. Let w(x) = 6*x**2 - x + 5. Give n*y(g) - 4*w(g).
g**2 - g
Let q(y) = 20*y - 82 - 86 - 86 + 259. Let f(p) = 5*p + 1. Calculate -9*f(w) + 2*q(w).
-5*w + 1
Let a(c) = -c**2. Let k(l) = -l**3 + 6*l**2 - 7. Determine 6*a(p) + k(p).
-p**3 - 7
Let u(h) = -2*h**2 + 9. Let o(t) = 1. What is 18*o(z) - 2*u(z)?
4*z**2
Let n(m) = 2*m + 4. Let p(u) = -u - 1. Suppose 0 = 7*j - 10 + 3. What is j*n(y) + 5*p(y)?
-3*y - 1
Let x(s) = -3*s - 9. Suppose -o + 3 = 6. Let n(q) = -2*q - 5. Determine o*x(y) + 5*n(y).
-y + 2
Let x = -10 + 1. Let v(t) = 3*t - 1. Let k(b) be the second derivative of 0 + b - 2*b**2 + 13/6*b**3. Determine x*v(s) + 2*k(s).
-s + 1
Let a = -10 + 6. Let n(o) = -o + 3. Suppose 2*k + 0 = 6. Let x(i) = -i + 2. Calculate a*x(f) + k*n(f).
f + 1
Let t(g) = -19*g. Let l(p) = 1768*p. Determine -2*l(x) - 187*t(x).
17*x
Let i = -26 + 53. Let r be 465/i - 2/9. Let k(x) = 20*x**2. Let c(d) = -7*d**2. What is r*c(l) + 6*k(l)?
l**2
Let z(v) = 5*v**2 + 3*v**2 - 9*v**2 + 2*v**3 - 3 + 0*v**3. Let h(a) = -a**3 + a**2 + 1. Give 3*h(q) + z(q).
-q**3 + 2*q**2
Let x(l) = l**3 - l**2 + 1. Let a(z) = -4*z**3 + 3*z**2 - 5. Let d(c) = -14*c - 78. Let k be d(-6). Determine k*x(r) + a(r).
2*r**3 - 3*r**2 + 1
Let w(q) = -6*q - 5. Let r(a) be the first derivative of a**2/2 + a + 5. Give -5*r(f) - w(f).
f
Let d be -1 + 1/((-2)/(-6)). Let f be ((-9)/6)/((-21)/(-14)). Let a(r) = r**2 - r - 1. Let x(v) = v**2 - 2*v - 2. Give d*a(m) + f*x(m).
m**2
Let r(k) = -k - 1. Let v(f) = -36*f - 24. Calculate -24*r(x) + v(x).
-12*x
Let x(z) = -z - 2. Suppose 7 = -7*b - 14. Let f(w) = w + 1. What is b*x(t) - 5*f(t)?
-2*t + 1
Let h(k) = 30*k**2 - 20*k + 20. Let n(p) = -p**2 + p - 1. Calculate -h(f) - 20*n(f).
-10*f**2
Let i(c) = 7*c**2 + 7*c - 6. Let w be (-424)/(-36) - (-4)/18. Let z = w - 7. Let m(n) = 8*n**2 + 8*n - 7. Determine z*m(x) - 6*i(x).
-2*x**2 - 2*x + 1
Let y(d) = 34*d**2 + 7. Let q(a) = 11*a**2 + 2. Give 14*q(n) - 4*y(n).
18*n**2
Let v(m) = -6*m + 2. Let y(k) = k + 1. Let n(x) = x - 8. Let u(q) = n(q) + 6*y(q). Determine 3*u(t) + 4*v(t).
-3*t + 2
Let l(o) = -2*o - 6. Let y(f) = -1. Calculate 3*l(p) - 21*y(p).
-6*p + 3
Let s(p) = 4*p**2 + 4*p. Let q(j) = -j**2 - j. Let l(y) = y + 1. Let k be l(-3). Suppose -5*u = -5*x + 30, -3*u - 5 - 13 = x. Determine k*s(i) + u*q(i).
-2*i**2 - 2*i
Let c = -1 - -5. Suppose -2 - 2 = -c*s. Let h(u) = -1. Let i(a) be the first derivative of a**3/3 - 2*a + 1. Calculate s*i(f) - 2*h(f).
f**2
Let u(g) = g + 3. Let j(v) be the second derivative of -2*v**3/3 - 5*v**2 + 7*v. Determine 4*j(k) + 14*u(k).
-2*k + 2
Let r(b) = 176*b**2 + 33*b. Let l(i) = -27*i**2 - 5*i. Give -33*l(h) - 5*r(h).
11*h**2
Let o(q) = -11*q**2 + 5*q - 2. Let l(m) = -2*m**2 + 2*m + 2. Let p(n) = -3*n**2 + 4*n + 5. Let j(y) = 7*l(y) - 3*p(y). What is 5*j(t) - 2*o(t)?
-3*t**2 - 1
Let n(p) = p**3 + 5*p**2 - 2*p - 4. Let z be n(-5). Let m = 10 - z. Let c(t | {
"pile_set_name": "DM Mathematics"
} |
t is the remainder when d is divided by 12?
9
Suppose 3*s = 5*i + 19, 2*i - 4 = 3*s - 26. Suppose r = -3*r + 56. Calculate the remainder when r is divided by s.
6
Let c(j) = -2*j**2 + 3*j**2 - 6*j**3 - 3 + 2 + 0*j**2. Calculate the remainder when c(-1) is divided by 2.
0
Suppose -300 = -5*y + 6*t - 3*t, 240 = 4*y - 2*t. Calculate the remainder when y is divided by 21.
18
Let m(g) = -g**3 + 4*g**2 - g - 3. Let y be m(3). Suppose -y*o = -7*o + 32. What is the remainder when 29 is divided by o?
5
Let b(t) = -t**3 - 5*t**2 + 2*t - 14. What is the remainder when 39 is divided by b(-6)?
9
Let v(f) = -f**3 + 10*f + 1. What is the remainder when v(-5) is divided by 26?
24
Let s be (-4)/(-14) + 5/7. What is the remainder when (-2 + (-39)/s)/(-1) is divided by 21?
20
Let b(m) = 4*m - 5. Suppose 2*j - 7 = j. What is the remainder when j is divided by b(2)?
1
Let y = -479 - -261. What is the remainder when 6/2*y/(-6) is divided by 28?
25
Let o(a) = a - 3. Let l be o(5). Let z(b) = -3*b**l + 2*b**2 + 25*b**2 + b. Calculate the remainder when z(1) is divided by 13.
12
Suppose -5*t = -q + 8, 2*t + 3 = 3*q - 8. Let v(j) = 15*j - 2. What is the remainder when v(q) is divided by 22?
21
Let y = -47 - -62. What is the remainder when 147 is divided by y?
12
Let a(y) = -1182*y**2 - y. Let j be a(1). What is the remainder when 1/(-4) + j/(-28) is divided by 11?
9
Let m(c) = -c - 2. Let y be m(-7). Let f(o) = -4*o**3 + 5*o**2 + 4*o**3 + o**3 + 2*o + y. What is the remainder when 37 is divided by f(-4)?
11
Let a = -55 + 93. Calculate the remainder when a is divided by 13.
12
Suppose -7*n + 116 = -52. What is the remainder when 42 is divided by n?
18
Suppose 0 = g + 3*g - 488. What is the remainder when g is divided by 21?
17
Let i = -3 - -6. Suppose 0 = -i*h - 2*w + 6*w + 205, -2*h + 136 = -2*w. What is the remainder when h is divided by 23?
21
Let u(h) = 5*h + 6. Suppose -14 = -j - j - 5*y, 0 = 2*y. Calculate the remainder when u(j) is divided by 21.
20
Suppose 2*f - f - 4*g - 5 = 0, -5*f + g + 44 = 0. Calculate the remainder when 16 is divided by f.
7
Suppose 4*c = 3*c + 14. Calculate the remainder when 22 is divided by 2 + -4 + c/1.
10
Let c = 19 + 0. Suppose 21 = 3*a - 0*a. What is the remainder when c is divided by a?
5
Let v be (2 - 2)/(-1*1). Let z(o) = 3*o**3 + 9 + 23 - 2*o**3. What is the remainder when z(v) is divided by 11?
10
Let i = -6 - -14. Suppose 5*m - 66 = -1. What is the remainder when m is divided by -1*1*(1 - i)?
6
Let h(b) = -15*b**3. Calculate the remainder when h(-1) is divided by 8.
7
Let k(d) = -13*d + 7. Let c be k(-6). Let l = 76 - 53. Let w = c - l. What is the remainder when w is divided by 21?
20
Let c(x) = -x + 10. Let i be c(7). Let s = 14 - 6. Suppose -2*a = -r - 1 - s, 0 = -3*r + i. Calculate the remainder when 14 is divided by a.
4
Calculate the remainder when 3/12*38*6 is divided by 15.
12
Let j(s) = s**3 + 5*s**2 + s - 1. What is the remainder when j(-4) is divided by 3/((-1)/(-4)*2)?
5
Let t(i) = 3*i**2 + 3*i - 2. Let s = -4 + 6. Let o(d) = -3*d**3 - 5*d**2 - 5*d - 4. Calculate the remainder when o(-3) is divided by t(s).
15
Let r(h) be the first derivative of h**3/3 - 5*h + 2. Let c be r(5). What is the remainder when 19 is divided by 3/(18/c)*3?
9
Let a = -28 + 50. Let t(r) be the first derivative of 2*r**2 - 4*r + 1. What is the remainder when a is divided by t(4)?
10
Suppose 70 = 2*x - 16. Calculate the remainder when x is divided by 9.
7
Let v(a) be the third derivative of -3*a**2 + 0*a + 0 + 7/6*a**3 + 1/24*a**4. Calculate the remainder when v(6) is divided by 7.
6
Suppose -4*r + 8 = -2*r + 2*c, 4*r - 6 = c. Let s = 7 + -4. Suppose 0 = 3*h - 3*y - 21, 0 = -s*h - y + 1. What is the remainder when h is divided by r?
0
Let o = 10 + -5. Suppose 5*w - 16 = -0*w + 2*v, 0 = o*w - v - 18. What is the remainder when 13 is divided by w?
1
Let n be -3 - (-2 - -17)*-1. Suppose 2*s - 2*b - n = 0, 0 = -s - b + 4*b + 6. Calculate the remainder when s is divided by 4.
2
Suppose 5*x + 0*x = 115. Let a be 140/6 + 4/6. Let m = a - 16. Calculate the remainder when x is divided by m.
7
Suppose -2*k + 6 = -0*k. Suppose 4*v = k*h - 0*h - 28, -3*h = v - 8. What is the remainder when 7 is divided by h?
3
Let h = -24 + 54. Suppose -2*z = -3*z + h. Calculate the remainder when z is divided by 13 - 2 - (-3 - 2).
14
Let f(n) = 5*n - 22. Calculate the remainder when f(9) is divided by 13.
10
Suppose -5*n = i - 394, 3*n + 0*i = -i + 238. Suppose 0 = 3*b + b. Calculate the remainder when n/3 - (1 + b) is divided by 9.
7
Let j(a) = 72*a. Let t be j(1). Suppose -2*h - q + t = 2*h, -3*h = -4*q - 54. Calculate the remainder when h is divided by 5.
3
Calculate the remainder when (-10)/(-25) + (-1239)/(-15) is divided by 29.
25
Let r(h) = -h**3 - 3*h**2 + 3*h - 3. Let l be r(-4). Suppose -l = -v + 5. What is the remainder when 22 is divided by v?
4
Let b = 11 - 3. Let k(g) = 18*g + 8. Let i be k(6). Suppose -5*z - 3*n + i = 0, 2*z - 2*n - 59 = -19. Calculate the remainder when z is divided by b.
6
Let t(n) be the third derivative of n**5/60 - n**4/4 + 2*n**3/3 - 3*n**2. Suppose -1 - 6 = -g. What is the remainder when g is divided by t(6)?
3
Let x = -1 + 6. Suppose -6 = -x*h + 4. What is the remainder when 14 is divided by (-10)/(-4)*4/h?
4
Suppose 26 - 301 = -5*l. Suppose -5*u + 27 = -43. Calculate the remainder when l is divided by u.
13
Let h = 0 - -1. Let r(o) = 29*o - 5. Let q(u) = u - 1. Let i(g) = -6*q(g) + r(g). What is the remainder when i(h) is divided by 13?
11
Let p be (4/12)/((-2)/(-12)). Suppose 0 = -w + f + 59, 212 = 4*w + p*f - 18. Calculate the remainder when w is divided by 15.
13
Let t = 22 + -11. What is the remainder when 41 is divided by t?
8
Suppose -3*c - v + 366 = -2*v, 4*c - 2*v - 486 = 0. What is the remainder when c is divided by 21?
18
Suppose 0*w = -5*w + 50. What is the remainder when 38 is divided by w?
8
Let c(z) = -z**2 + 27. Let b(w) = -w**3 + w**2 - 2*w - 2. Calculate the remainder when c(0) is divided by b(-2).
13
Let y(r) = r**2 - 6*r - 16. Calculate the remainder when 95 is divided by y(10).
23
Let o = 189 - 129. Suppose 0*f = 4*f - o. Suppose 25*w + 232 = 33*w. Calculate the remainder when w is divided by f.
14
Let z = -87 - -161. Let v = 103 - z. Let w(x) = -15*x**3 - x**2 - 2*x - 1. Calculate the remainder when v is divided by w(-1).
14
Let l = 217 - 132. Calculate the remainder when l is divided by 8.
5
Let q(l) = l - 10. Suppose -4 - 11 = -5*u. What is the remainder when q(14) is divided by u?
1
Let w(f) = -f**3 - 4*f**2 - 4*f - 2. Let i be w(-2). What is the remainder when 23 is divided by -4 - i - (-3 - 7)?
7
Let m = -29 - -94. Suppose -2*z + 39 = z + 2*r, -m = -5*z + r. Let w = 0 + 8. What is the remainder when z is divided by w?
5
Calculate the remainder when 90 is divided by 0 + -4 + 0 - -17.
12
Suppose -w = 5*v - 131, -132 = -5*v - 2*w - 0*w. Calculate the remainder when v is divided by 7.
5
What is the remainder when -1 + -1 - (-280)/5 is divided by 19?
16
Let n = -320 + 711. Let u = n + -221. Suppose 5*s - u = x - 4*x, -5*x + 118 = 3*s. Calculate the remainder when s is divided by 11.
9
Let w = -16 + 26. Suppose -7*c = -8*c + w. What is the remainder when 26 is divided by c?
6
Let o(z) = z**3 + 10*z**2 - 18*z - 26. What is the remainder when o(-11) is divided by 15?
6
Suppose 0*t = -5*k + 3*t + 171, -43 = -k + 5*t. Let p(x) = -x**3 + 28*x**2 + 4*x + 17. What is the remainder when p(28) is divided by k?
30
Suppose -4*m - 46 = -2*o, 3*o = 2*m + 37 + 12. What is the remainder when 48 is divided by o?
9
Let g(z) = 10*z**2 + 58*z - 6. What is the remainder when g(-6) is divided by 3?
0
Let f = -136 - -190. Let w = -45 - -64. What is the remainder when f is divided by w?
16
What is the remainder when 58 is divided by (-2 + (-3)/(-2))*-24?
10
Let l(t) = t + 8. Let o be (2 - 18/4)*-2. Suppose -o*c + 3 = -2*c. What is the remainder when l(-6) is divided by c?
0
Suppose 0*c - 54 = -2*c - 4*z, -126 = -4*c - 2*z. Calculate the remainder when c is divided by 19.
14
Let p = -49 + 100. What is the remainder when 151 is divided by p?
49
Suppose -2*p + 120 = 3*p. Calculate the remainder when p is divided by 4.
0
What is the remainder when 49 is divided by 5/(-10) - (-105)/6?
15
Suppose 4*n = -0*n + 52. What is the remainde | {
"pile_set_name": "DM Mathematics"
} |
the greatest common factor of j and 73.
73
Let b be (60/8)/5*(13 + 5). What is the highest common factor of 81 and b?
27
Let r be 40/90 + 447/27. Suppose 2*b = -w + 2 + r, 0 = -5*b - 4*w + 49. Calculate the highest common divisor of b and 18.
9
Let h(p) be the third derivative of p**4/24 + 3*p**3 - 32*p**2. Let q be h(0). What is the highest common divisor of 18 and q?
18
Let w(f) = f - 1. Let c(l) = -52*l + 44. Let y(i) = -c(i) - 24*w(i). Let k be y(7). Calculate the greatest common factor of k and 16.
16
Let r be (-2)/(-3)*12/8. Let c = 1 + r. Suppose 4*x - 12 = -2*q, -c*x = -4*q - 0*x + 24. What is the greatest common divisor of 18 and q?
6
Let o = -1178 - -1179. Calculate the highest common divisor of 303 and o.
1
Let s = -27 + 16. Let m(n) = -n - 8. Let g be m(s). Suppose g*x = -i - x - 11, 4*i + 4*x - 16 = 0. What is the greatest common factor of i and 81?
9
Let o(h) = -2*h - 1. Let u be o(3). Let b be -3 + u/(4/(-1 + -3)). What is the highest common divisor of 68 and b?
4
Suppose 0 = 2*n - 5*t - 3405, 3*t + 6 = -3. Calculate the greatest common factor of 15 and n.
15
Suppose 25 + 140 = 15*l. What is the greatest common factor of l and 55?
11
Suppose -11*b = -504 + 108. What is the greatest common factor of 300 and b?
12
Let n be (3 + -2)/(1/(-5)). Let o = 5 + n. Suppose 5*z + 2*x - 11 = o, -2*z - 2*x - 3 = -5. Calculate the highest common factor of 2 and z.
1
Suppose 0 = -2*o + 3*q + 11 + 129, 0 = 2*o + 2*q - 140. What is the highest common factor of 220 and o?
10
Let i(w) = 519*w - 7. Let c be i(3). Calculate the greatest common divisor of c and 62.
62
Suppose -6*d - 4 = -2*d. Let p(b) = 8*b**2 - 3*b - 2. Let s be p(d). Let u be (-1 - (-78)/s)*15. What is the greatest common divisor of u and 23?
23
Suppose -400 = 53*k - 57*k. What is the greatest common divisor of k and 20?
20
Let l be (28/8)/((-15)/(-2280)). What is the greatest common factor of 84 and l?
28
Suppose -2*l = 3*v + 21 - 197, -3*l + 2*v + 264 = 0. Let u = 1684 - 1673. What is the highest common divisor of l and u?
11
Suppose -12*k - 504 = -15*k. What is the highest common divisor of 42 and k?
42
Suppose -25*r + 42 = -23*r. Let j be (-2)/28*-334 - (-3)/r. Calculate the highest common factor of j and 12.
12
Suppose 17 = 2*i + 5. Let p = 2 - i. Let c be 1/(-2) + (-118)/p. What is the greatest common divisor of 29 and c?
29
Let c(n) = -2*n**3 - 33*n**2 - 18*n - 32. Let g be c(-16). Let j be (-4)/4 + g + 4. Suppose 6*z - 12 = 4*z. What is the highest common divisor of z and j?
3
Let p(y) = y**3 - 30*y**2 + 4*y - 105. Let a be p(30). Calculate the highest common factor of a and 30.
15
Suppose -b + 3 = -p, 4*p - 5*b = -7 - 10. Calculate the highest common factor of p and 11.
1
Let w be (-212)/20 - 4/10. Let d be (-1062)/(-33) - (-2)/w. What is the greatest common factor of 352 and d?
32
Suppose 2622*a - 2630*a + 112 = 0. Calculate the highest common factor of a and 504.
14
Let y(z) = -2*z**2 - 10*z - 8. Let i be y(-6). Let p = i - -26. Suppose -j + 5*x = p, -5*j + j = 3*x - 68. What is the highest common divisor of 154 and j?
14
Suppose -3*d - 8*r + 282 = -5*r, 0 = 4*d - 3*r - 404. Calculate the highest common factor of 1029 and d.
49
Suppose -2*s - 4*z = 42, -5*s + 3*z = 6*z + 84. Let q be 39/4 - s/(-20). Let x be (1 - -18) + 2 + -3. Calculate the highest common factor of q and x.
9
Suppose 160 = -277*t + 282*t. What is the greatest common factor of t and 272?
16
Suppose 4*g + i = -2*i - 7, -g - i = 1. Let a be 24 + g/(-2) + -5. Let j = 43 - a. What is the highest common factor of j and 55?
11
Let o be 2/7 - 6068/(-28). Suppose 2*a - o = 23. What is the greatest common divisor of 15 and a?
15
Let u = 1 + -3. Let j be (38/2)/(u/(-22)). Let w be 88/(-33)*(-6)/(-4)*114/(-24). Calculate the highest common divisor of j and w.
19
Let b = 448 + -400. What is the highest common divisor of 32 and b?
16
Let i be ((-28)/(-2))/(16/8). What is the greatest common divisor of 259 and i?
7
Suppose -j - 7*d + 11*d = -16, 0 = -j - d + 31. What is the greatest common divisor of j and 98?
14
Let l = 170 - 112. Suppose -3*a + 67 = 5*n - 30, 3*n + 2*a = l. Let u be 6/(0 - -3) - -8. Calculate the highest common divisor of u and n.
10
Suppose 4*u - 96 = 5*s, -4*s - 5*u - 39 - 5 = 0. Let z be (-135)/20 - (-4)/s. Let a be (-2)/z - (-427)/49. What is the highest common divisor of a and 63?
9
Let u be 16/(-4)*(-2)/4. Let h = -190 - -206. What is the highest common factor of u and h?
2
Suppose -4*z = -h - 13, -5 = -4*z + 3*z + 2*h. Let b be z*(1 - (-3)/9). Let r be ((-90)/b)/((-18)/24). What is the highest common divisor of 12 and r?
6
Let t be 5 - (-85)/(-15) - (-11)/3. Suppose -5*b - 2*q = -2200, 4*b + t*q - 2200 = -b. Calculate the greatest common divisor of b and 44.
44
Suppose -2068 = -0*j - 22*j. Calculate the highest common divisor of 423 and j.
47
Let j(m) = -24*m**2. Let l be j(1). Let i be (-110)/20*(l - -2). Suppose -5*v + 215 = x, -2*x - i = -3*v - x. What is the greatest common factor of v and 14?
14
Let b be (-5 - (-4 + 2)) + 1 + 5. Let s = 34 - 7. What is the greatest common factor of b and s?
3
Suppose 2*i + 3*i - 12 = h, 12 = 4*i. Suppose 2*j = -2*z + 42, -59 - 3 = -h*z - 2*j. Let n be 1804/18 - 16/72. Calculate the greatest common factor of n and z.
20
Let q be 12/10*17 + (-6)/15. Suppose 3*f + f = x - 1, 10 = 3*x - 5*f. Suppose -u = -6*u + 3*b + x, 2*b = 3*u - 2. What is the highest common divisor of u and q?
4
Let k be -3 + (-3)/(-3) + 102. Suppose 4*d + 82 = 6*d. Suppose -h + 156 = 4*b, -h = -b + 3 + d. What is the highest common factor of k and b?
20
Let o(y) = -2*y**3 - 9*y**2 - 5*y - 5. Let d be o(-5). Calculate the highest common factor of 15 and d.
15
Let o be 72 + (-7)/((-7)/(-9)). Suppose 4 = 4*x, 3*d + d - 5*x = 23. Calculate the highest common factor of d and o.
7
Let s(h) = -2*h - 18. Let v be s(-14). Suppose v + 30 = 2*z. Let j = 4 - -26. Calculate the highest common divisor of j and z.
10
Let q = -38 + -14. Let j = q + 53. Calculate the greatest common divisor of 2 and j.
1
Let s be ((-11)/2)/((-3)/18). Suppose -n + 4*n = s. Suppose n = m - 0*m. What is the greatest common divisor of m and 33?
11
Let i(l) = -34*l + 110. Let u be i(-5). What is the greatest common divisor of 84 and u?
28
Let u be ((-49)/(-42))/(2/6)*26. What is the greatest common factor of 26 and u?
13
Suppose 0 = -7*c + 48*c - 7380. Calculate the greatest common divisor of c and 140.
20
Let v(o) = 53*o**2 - 3*o + 3. Let b be v(2). Let p be 116/(-5)*(-10)/4. Suppose -37 = -5*l + p. What is the greatest common divisor of l and b?
19
Let p = 8 - 6. Suppose -3*x + x + 108 = -r, -x + p*r + 48 = 0. Suppose -1159*q = -1200*q + 3444. Calculate the greatest common divisor of q and x.
28
Let h be (9/4)/((-3)/(-56)). Let v(t) = -3*t - 24. Let c be v(-10). Calculate the greatest common factor of c and h.
6
Let k(n) = -26*n - 100. Let b be k(-5). Suppose -2*o = d - 75 - 20, -2*o + 3*d + 115 = 0. What is the greatest common factor of o and b?
10
Suppose -2*y - y - i = -42, -y - 4*i + 14 = 0. Let q(s) = 116*s - 4. Let b be q(1). What is the highest common factor of y and b?
14
Let p(g) = 7*g + 68. Let a be p(-8). Calculate the highest common divisor of a and 348.
12
Let w = -617 + 787. What is the highest common divisor of w and 10?
10
Let h be 87/(2*(-12)/(-304)). Calculate the highest common factor of 38 and h.
38
Let o be 75*((-7)/(42/36))/(-2). Suppose -5*k + k + 100 = 0. Calculate the highest common factor of k and o.
25
Suppose -o + 8 = -3*f, -f + 7*o - 26 = 2*o. Let g be (-4)/4 + f + 3. Calculate the highest common divisor of g and 1.
1
Suppose 0 = 175*x - 176*x + 22. Suppose -4*z = -5*z + 66. What is the highest common divisor of z and x?
22
Let d be 7/((-70)/(-232))*25/10. What is the greatest common factor of 899 and d?
29
Let d(c) = 33*c - 1. Let y be d(-1). Let l be ((-2)/(-3))/(y/(-1275)). Calculate the highest common divisor of 10 and l.
5
Let u be ((-28)/42)/((-4)/378). What is the highest common divisor of u and 105?
21
Suppose 111 = -y + 65. Let a be (-39)/(y/36 - (-18)/(-81)). Calculate the highest common factor of a and 78.
26
Let i(g) = -g**3 + 4*g**2 - 4. Let y be i(3). Suppose 18*j = 9*j + 1215. What is the highest common divisor of y and j?
5
Let a be -2*2/8 - (-6364)/8. What is the greatest c | {
"pile_set_name": "DM Mathematics"
} |
- 3*s - 2*s) + 2*s - 3*s + 0*s + 0*s - 2*s + 15*s).
-20*s**2
Expand (-1 + 1 + 1)*(3*z**2 + 0*z**2 - 7*z**2)*(-5*z**3 - 2*z**3 + 5*z**3).
8*z**5
Expand (0*a - a + 0*a)*(7*a - 16*a - a).
10*a**2
Expand (2*i - 10*i + 12*i)*(1 - 1 - 2).
-8*i
Expand (0 - 3 + 2)*(v**2 + 1 - 1) - 5*v + 5*v - 2*v**2 - 2*v**2 - 2 + 2 - v**2 + 2 - 2.
-6*v**2
Expand -4*z**3 + 0*z + 0*z + (1 + 2 - 2)*(-3*z**3 + 0*z**3 + 2*z**3) + (-2 + 2*z + 2)*(-4*z**2 + 4*z**2 + 2*z**2) + z**3 + 4*z**3 - 3*z**3.
z**3
Expand (8 + 8*d - 8)*(4*d - d - 4*d).
-8*d**2
Expand (-5*b + b + 3*b)*(-5 + 0 + 2)*(b**2 + 1 - 1).
3*b**3
Expand (4 + 0 + 2)*(-t + 4*t - t)*(3*t + 4*t - 6*t).
12*t**2
Expand (-1 + 1 + 1)*(3*j**2 - 4*j**2 + 2*j**2) + (0*j + 2*j**2 + 0*j)*(2 - 2 + 1).
3*j**2
Expand (-2*c**3 + 0*c + 0*c)*(4*c - 2*c + 2*c) - 4*c**4 + 2*c**4 + 3*c**4.
-7*c**4
Expand (4*i**2 - 4*i**2 + 5*i**2)*(2*i - 4*i + 0*i) + 0 - 5*i**3 + 3*i**3 - 1.
-12*i**3 - 1
Expand (-4 + 0*n - n + 1)*(0 + 0 - 2*n).
2*n**2 + 6*n
Expand (4*x + 1 - 4*x + 2*x)*(42 + 54 - 35).
122*x + 61
Expand (-q**2 + q**2 + 2*q**2)*(-21 + 10 + 2).
-18*q**2
Expand (1 - 1 - h)*(1 + 0 + 1) + h - 2*h - h + (1 - 2*h - 1)*(3 + 1 - 3) - 2*h + 1 - 1 - 2*h + h + 2*h.
-7*h
Expand (-3*c - 2*c + 6*c)*(1 + 5*c - 1) + 11*c**2 - 21*c**2 + c + 17*c**2.
12*c**2 + c
Expand (-1 - 3 + 8)*(-f**3 + 3*f - 2*f**2 - 3*f).
-4*f**3 - 8*f**2
Expand (2*p - p - 2*p)*(-7 + 24 + 4).
-21*p
Expand -c**5 - 2*c + 2*c + (3*c**3 + c**3 + 3*c**3)*(c + c**2 - c).
6*c**5
Expand q**5 + 0*q**3 + 2*q**3 + 0*q**5 + (2 - 4 + 5)*(4*q**5 - 2*q**5 - 3*q**5) + (-4*q**2 + 2*q**2 - q**2)*(-q**2 + q**2 + q**3).
-5*q**5 + 2*q**3
Expand (-2 + 5 + 4)*(z + 0 + 0) + 2*z - z - 2*z.
6*z
Expand (k + 0*k - 3*k)*(-2*k - 1 + 1) + 3*k**2 + 18*k**2 - 32*k**2.
-7*k**2
Expand -2 + 2 - 5*g + g + 0*g - 2*g + (-2 + 1 + 3)*(0*g + g + g) + 3*g + 0*g - 4*g.
-3*g
Expand ((-2*x - x + 0*x)*(-1 + 1 - x) + 4*x**2 - x**2 + 0*x**2)*(-3 - 3 + 4).
-12*x**2
Expand (1 - 2 + 0)*(0 + 3 - 4)*(-107*k**2 + 107*k**2 - 4*k**5).
-4*k**5
Expand (4*c - 5*c + 0*c)*((2 - 2 - 1)*(2 - c - 2) + 5*c - 2 + 2) + c**2 - 4*c + 4*c.
-5*c**2
Expand ((0 + 0 + 2*t)*(3*t - 4*t + 3*t) - t**2 - 3*t**2 + 6*t**2)*(-3*t**3 - 3*t**3 + 12*t**3).
36*t**5
Expand (-3 + 3 + 3)*(3 - 1 + 7)*(-f + 3*f - f).
27*f
Expand (0 + 1 - 3)*(5*a - 5*a - 3*a)*(0*a - a + 3*a) - a**2 + 2*a**2 - 4*a**2.
9*a**2
Expand (1 - 1 + d)*(-4 + 4 + 6*d**3 - 3).
6*d**4 - 3*d
Expand (2 - 2 + 2*m)*(0 + 0 - 2*m) - m**2 + 2*m**2 + m**2 + 41*m**2 - 16*m**2 - 10*m**2.
13*m**2
Expand (-5*u + 4*u + 2*u)*(-4*u - u + 4*u)*(3*u**2 - 3 + 3).
-3*u**4
Expand 2*u + u - 4*u - 2*u - 3*u + 4*u - 2*u - 5*u + 4*u + (-3 - 2 + 2)*(u + 3 - 3) - u + 3*u + 0*u.
-6*u
Expand 2*w - 3*w + 4*w + (0*w + 2*w + 0*w)*(-1 + 6 - 2).
9*w
Expand (p - 2*p + 0*p)*(2*p**2 - 6*p**2 + 2*p**2 + (-3 + 3 + p**2)*(-3 + 1 + 1) + 4 - 4 + 2*p**2 - 1 - 2*p**2 + 1 + (-p - p + 0*p)*(6*p - 15*p + 10*p)).
5*p**3
Expand (4 - 1 - 4)*(-2 + 2 + 1)*(11*d - 21 + 21).
-11*d
Expand (-n - n + n)*(-1 + 1 + 6*n) + 0*n + 2*n**2 + 0*n.
-4*n**2
Expand 0*n**2 - n**2 + 0*n**2 + (-n - 4 + 4)*(-2*n + 2*n + 5*n) + (4*n - 4*n + n)*(-1 + 3*n + 1).
-3*n**2
Expand (3 - 4 - 1)*(-l + 3*l - 4*l) + 0*l + l - 2*l + 4*l - 3*l - 2*l.
2*l
Expand (0 + 0 - k**2)*(7 + 4*k - 7)*(-2*k**2 + 1 - 1).
8*k**5
Expand (-4*z**2 + 2*z**2 + z**2)*(3*z - 2*z - 3*z) + 2*z**3 - 4*z**3 + 0*z**3 + (0*z**3 + 0*z**3 + z**3)*(-2 + 2 - 2).
-2*z**3
Expand (60 + 7*q - 60)*(3 - 4 + 3) + 2*q - 6*q + q.
11*q
Expand (-3*c + 3*c + 2*c)*(-9*c + 13 - 13)*(-4*c + 3*c + 3*c).
-36*c**3
Expand -3*w**3 - 2 + w + 0 + 4*w**3 + (-2*w - 3*w + 3*w)*(2*w - 8*w**2 - 2*w).
17*w**3 + w - 2
Expand 0*b**5 + 0*b**5 - 4*b**5 + (-3*b**3 - 2*b + 2*b)*(-b**2 + 0*b**2 + 3*b**2).
-10*b**5
Expand ((-4 - 2 + 4)*(0 - 1 + 0) + 5 - 4 - 4)*(4*q**3 - 4*q**3 - q**4).
q**4
Expand 4*u - 6*u + 0*u + (-4 - 2 + 3)*(-2*u - 4*u + 3*u) - u + 0*u + 0*u.
6*u
Expand -2*z**3 - z**2 + z**2 + (-5*z + 4*z + 0*z)*(z**2 + 5*z - 5*z).
-3*z**3
Expand (-8*t + 0*t + 0*t)*(3 - 5 + 1)*(-4 + 2 + 1).
-8*t
Expand (3 + l - 3)*(4*l**2 - l**2 + 25*l**2).
28*l**3
Expand 5*c + 328 - 328 + (2*c - 3*c - c)*(0 - 1 + 4)*(0 + 1 - 3).
17*c
Expand 2*d**5 - 3*d**5 + 3*d**5 - d**5 + 7*d**5 - 2*d**5 + (-2*d**2 + 1 - 1)*(-d**2 + d**2 - 3*d**3) - 2*d**3 - 2*d**5 + 2*d**3.
10*d**5
Expand 4*w**4 + 4*w**4 - 5*w**4 + (3*w**2 - w**3 - 3*w**2)*(5*w - 6*w + 0*w) + w**4 - 4*w**4 + 6*w**4.
7*w**4
Expand (-3*z - z + 2*z)*(-z + z - 2*z**2) - 34*z**3 + 10*z**2 - 10*z**2.
-30*z**3
Expand (3*l - 3*l**2 - 3*l)*(2*l**3 - l**3 + 2*l**3) + 5*l**5 - 3*l**3 + 3*l**3.
-4*l**5
Expand -2*s + s - s - 2*s + 5 - 5 - 6*s + 2*s + 2*s + (1 + 0 + 1)*(0*s - 2*s + 4*s) + 3*s - s + 0*s - 3*s - 3*s + 4*s + 4*s + 0*s - s.
s
Expand (a - 2 + 2)*(0*a + 3*a - 2*a) + (-a + 0*a - a)*(-3*a + 3*a + 3*a).
-5*a**2
Expand (-1 + 1 - 1)*((2 + 2 - 3)*(-3*h + 3*h + h) - 3*h + h + 4*h).
-3*h
Expand (0 + v**2 + 0)*(-15*v - 7*v + 5*v + 1).
-17*v**3 + v**2
Expand (2*g - 2 + 2)*(15 + 4 - 1)*(-2 + 2 + g).
36*g**2
Expand (-2*u**2 + 6*u**2 - 2*u**2)*(5*u**2 - 5*u**2 + u**3) + (2*u**2 - 3*u**2 + 2*u**2)*(2*u**3 + 1 - 1).
4*u**5
Expand (9*j**2 + 7*j**2 - j**2)*(-5*j - j**3 + 5*j).
-15*j**5
Expand 4*u**2 + u**2 - 2*u**2 + u**2 + 0*u**2 + u**2 + (5*u - 2*u - u)*(-3*u + 0 + 0) - 2*u**2 + u**2 + 3*u**2.
u**2
Expand (0 + 0 + 1)*(37 + w + w - 12).
2*w + 25
Expand (4 - 6*m - 6 + 3)*(1 + 0 - 9).
48*m - 8
Expand (-w + w - 2*w)*(195 - 195 - 72*w).
144*w**2
Expand j**2 - j**2 - 3*j**2 + (j + 0 + 0)*(-11*j + 33 - 33).
-14*j**2
Expand (f**3 + 0*f**2 + 0*f**2)*(-f**2 - f**2 + 3*f**2) + 2*f**5 - 2*f**5 + f**5 + (4*f**4 - 3*f**4 + f**4)*(2*f + 1 - 1) + 2*f**5 - 3*f**3 + 3*f**3.
8*f**5
Expand 1 + 1 - 2*g**3 + 3*g**2 - 5*g**2 + (2*g**2 + 1 - 1)*(-g + g - 2*g) + g**3 + g**3 + 0*g**3.
-4*g**3 - 2*g**2 + 2
Expand (-1 - m**3 + 1)*(-2 - 4 + 4) + (m**3 - 4*m**3 + 5*m**3)*(-3 + 0 + 1) - 1 + 1 + 5*m**3.
3*m**3
Expand (-d - 9*d - 3*d)*(3 + 3 - 4) + (0 + 1 + 0)*((3*d - 3*d - d)*(-1 + 1 - 2) - d + 0*d + 3*d).
-22*d
Expand (12*h + h - 8*h)*(h**2 - h**2 - h**2) + 2*h - 2*h - 2*h**3.
-7*h**3
Expand -3*x**4 + 6*x**4 - 5*x**4 + (4*x**3 + x**3 - 3*x**3)*(-3*x + 0*x + x) + x**4 + 1 - 1 + 6*x**4 + 5 - 5 + (4*x**2 + 2*x**2 - 4*x**2)*(-2*x**2 + 0*x + 0*x).
-3*x**4
Expand ((-5*v - v + 4*v)*(4 - 4 + 2) + 2 - 2 - 2*v)*(-2*v - v - 3*v).
36*v**2
Expand (-51 + 89 - 44 - 2*u)*(0*u**4 + u**4 + 0*u**4).
-2*u**5 - 6*u**4
Expand -3*d - 3*d**4 + 0*d + 4*d**4 + (d + 4*d - 3*d)*(2*d**3 - 2 + 2).
5*d**4 - 3*d
Expand (1 - 19 + 3)*(-5*o**2 + o**3 + 5*o**2) + (-o**2 - 6*o**2 + 5*o**2)*(o - 4*o + 5*o).
-19*o**3
Expand (-2 - 4 + 5)*(10*n - 21*n - 22*n).
33*n
Expand (2*w + 5 - 5)*(4*w + 84 - 84).
8*w**2
Expand 2*c - 2*c - 2*c + 0*c - c - 4*c + (-2 - 2 + 2)*(c + 3 - 3) + 2*c + 0*c - 3*c + 0*c - 3*c + 0*c.
-13*c
Expand (-3 - 3 + 4)*(6*b**2 + 2*b**3 + 1 - 5*b**3 - 8*b**2).
6*b**3 + 4*b**2 - 2
Expand (-2 + t + 2)*(-2 + 1 + 6*t - 3*t).
3*t**2 - t
Expand (3 - 2 + 1)*(4 + 0 - 6)*(-d + 4*d - 6*d).
12*d
Expand (-4*i + 3*i + 0*i)*(2*i**2 - 3*i**2 + 2*i**2)*(2*i + 2 - 2).
-2*i**4
Expand -1 + a**3 + 1 + (a**2 - 2*a + 2*a + (7 - 3 - 3)*(-2 - 3*a**2 + 2))*(a - 2*a + 0*a).
3*a**3
Expand -p**4 - 5*p**4 + 4*p**4 + (3 - 3 + p**2)*(9*p**2 + 18 - 18).
7*p**4
Expand (2*p - 4*p + p)*(p + 0*p - 3*p)*(12 - 19*p - 3 - 8).
-38*p**3 + 2*p**2
Expand (-19 - 2*k + 19)*(-1 + 2*k + 1) - 5*k**2 + k**2 + 5*k**2 + (k + 1 - 1)*(1 - 1 + 2*k) + 2*k**2 - 2 + 2.
k**2
Expand (4 - 5 + 4)*(0 - 3 + 1)*(4*l - 4*l + l).
-6*l
Expand (-6*w + 15*w + 20 - 11*w)*(-3 + 2*w + 3).
-4*w**2 + 40*w
Expand (2*p**2 - 2*p**3 - 2*p**2)*(-5*p + 3*p + 4*p) + 127*p**4 + 2506*p - 2506*p.
123*p**4
Expand 7*z - 4*z + 0*z - 3*z + 0*z + 5*z + (-2*z - z + z)*(-1 - 2 + 2) + 5*z - z - z.
10*z
Expand (6*s**3 - 4*s**3 - s**3)*(4*s - 4*s - s) + 2 + s**4 - 2 + 0*s**4 - 3*s**4 + 0*s**4 + (-3*s**2 - s**2 + 5*s**2)*(-4*s + s**2 + 4*s).
-2*s**4
Expand -2*o**5 + 3*o**5 - 2*o**5 - o**5 + 2*o**5 - 3*o**5 + (2*o**4 + o**4 - 5*o**4)*(-o - 2*o + 5*o) + (0*o**3 + 0*o**3 + 2*o**3)*(-2 + 2 - o**2).
-9*o**5
Expand (0*n + 0*n - n + 2 - n - 2 + (3*n - 2*n - 3*n)*(6 - 1 - 3) - 3 + 3 - 2*n + n - 2*n - n)*(-2 - n + 2).
10*n**2
Expand 0*x + 0*x - x + (-1 + 2 + 0)*(0*x - x - x) - 5*x + 3*x + 6*x + x - 2*x - x - 3*x + 3*x + 2*x.
x
Expand (-28 - j + 12 + 3*j)*(j**4 - j**4 - 2*j**4).
- | {
"pile_set_name": "DM Mathematics"
} |
84) + 2)*5 + 0))**2.
9600*sqrt(19) + 275200
Simplify (sqrt(60)*-1*2)/(sqrt(132)/sqrt(176)) + (sqrt(5445)*1 + sqrt(45) + sqrt(45))/(sqrt(1089) + sqrt(1089)*-2 - sqrt(1089)).
-189*sqrt(5)/22
Simplify (-1*sqrt(352)*2)/((sqrt(6) + (sqrt(90)/sqrt(3))/sqrt(5))/sqrt(3)).
-4*sqrt(11)
Simplify (((sqrt(44)/sqrt(4) - sqrt(11)) + sqrt(11))*1 - (sqrt(11) + 2 + -5)) + (sqrt(99)*-2*1*2)**2.
1587
Simplify ((3*sqrt(112)*-2)/sqrt(2))/(2*sqrt(392)*5).
-3*sqrt(7)/35
Simplify ((1*sqrt(100))/sqrt(4))/((-2*sqrt(30))/sqrt(6) + sqrt(5)).
-sqrt(5)
Simplify (sqrt(204) + (sqrt(204) + (sqrt(204)*-5 - sqrt(204)) + sqrt(204) + sqrt(204) + sqrt(204))*6)/(-2*sqrt(72)/sqrt(6)) + 0 + 4.
4 + 11*sqrt(17)/2
Simplify (3*(sqrt(320) + (sqrt(320) - (sqrt(320) - 1*sqrt(320)*-2)) + -2 - (sqrt(320) + (1 + sqrt(320))*-3)*-6))**2.
37440*sqrt(5) + 490320
Simplify ((sqrt(408)/(sqrt(8)*-1)*-6)/(sqrt(6)/(sqrt(8)/sqrt(4)) - ((sqrt(12) + sqrt(3))*6 + sqrt(3))))**2.
17/9
Simplify 3*(sqrt(55)/((sqrt(44) - sqrt(44)*-2)/sqrt(4)) + (2 + sqrt(405) - sqrt(405))**2 + -2).
sqrt(5) + 6
Simplify 2 + (sqrt(110)/(-3*sqrt(10)) - sqrt(11)) + (1 + (sqrt(11) - 1*sqrt(11)*6))**2.
-34*sqrt(11)/3 + 278
Simplify (-2 + -2 + sqrt(128) - (sqrt(2) + sqrt(2) + (sqrt(256) + sqrt(16))/sqrt(8) + -1))**2 + 4.
-6*sqrt(2) + 15
Simplify (1 + (5*(sqrt(448) + 2 + sqrt(448)) - (sqrt(448) - 6*sqrt(448)*-1)))**2.
528*sqrt(7) + 4153
Simplify (sqrt(16) - (sqrt(576) + 1*sqrt(576) + sqrt(576) + sqrt(576)))/(sqrt(80)/sqrt(250)).
-115*sqrt(2)
Simplify (2 + sqrt(833) - sqrt(833)) + (sqrt(153) + sqrt(153)*2 + sqrt(153))/sqrt(9) + -3 + 1*-3*sqrt(17).
-1 + sqrt(17)
Simplify (-2 + 3 + (sqrt(304) - (1 + sqrt(304) + sqrt(304)))*6 + 0 + sqrt(304) + sqrt(304) + 0)**2.
160*sqrt(19) + 4889
Simplify 2 + ((-1 + 2*sqrt(242))*-4 + -4)**2.
15490
Simplify (sqrt(88)*-3*-3)/(sqrt(968)*-2).
-9*sqrt(11)/22
Simplify 1*(-2*sqrt(2268)*-5)**2*1.
226800
Simplify ((sqrt(96)/sqrt(100))/(sqrt(300)*1)*5)**2.
2/25
Simplify 4 + (3*(3*sqrt(12) + 1))**2.
108*sqrt(3) + 985
Simplify ((sqrt(55)/(2*sqrt(11)) - (sqrt(5) + sqrt(20)/sqrt(4))*-3) + -1*(sqrt(245) - (sqrt(245) + 0) - sqrt(245))**2)*-5.
-65*sqrt(5)/2 + 1225
Simplify ((1 + sqrt(128))*4 - (sqrt(128) + (sqrt(128) + 1)**2 + -5 + sqrt(128) + sqrt(128) - sqrt(128)))*4.
-480
Simplify sqrt(19)*-2 + 3 + -6*sqrt(57)/sqrt(3) - ((sqrt(76) + 1)**2 + ((sqrt(19) - sqrt(76)) + sqrt(19))**2 + -1).
-73 - 12*sqrt(19)
Simplify (sqrt(19) + (4*sqrt(684))**2 - (-3 + sqrt(19))*-4)*2 + 5.
10*sqrt(19) + 21869
Simplify sqrt(19) - (((sqrt(152)*-1 - sqrt(152)) + sqrt(152))/sqrt(8))**2 - (5 + sqrt(19) + 0) - sqrt(152)/(sqrt(48)/(sqrt(6)*-1)).
-24 + sqrt(19)
Simplify -2*((sqrt(68) - (3 + sqrt(68)*-1))**2 + (sqrt(68) - (sqrt(68) - (4*(sqrt(68) + 1))**2)))*2.
-5540 - 160*sqrt(17)
Simplify ((sqrt(66) - 2*1*sqrt(66) - sqrt(66) - -1*(sqrt(66)*1 + sqrt(66)))/(-3*(sqrt(6) - sqrt(6)*-2)*-3))**2.
0
Simplify 1*(sqrt(3) + -1 + 5 - 4*-2*sqrt(3) - (3 + sqrt(147) + -1)**2).
-147 - 19*sqrt(3)
Simplify 5 + (5 + (sqrt(684)*-2 + 5 - (sqrt(684) - (sqrt(684) + -1)*5)))**2 + 3.
120*sqrt(19) + 2769
Simplify -4*(sqrt(7) + -1 + sqrt(7))**2*2 - 6*((sqrt(7) - ((sqrt(7) - -3*sqrt(7)) + sqrt(7))) + -4 - sqrt(7)).
-208 + 62*sqrt(7)
Simplify (sqrt(1200) + (sqrt(1200) + (sqrt(1200) - (2*sqrt(1200) + sqrt(1200))))*-3)/(6*(sqrt(24) + (-1*sqrt(24) - sqrt(24)))).
-10*sqrt(2)/3
Simplify (-5*-4*sqrt(24))/(sqrt(1152)*1).
5*sqrt(3)/3
Simplify 1*((2*(0 + sqrt(208)) + sqrt(208) + sqrt(208))*5 - (4*(1 + sqrt(208)) + sqrt(208) + 4*(-1 + sqrt(208))))**2.
25168
Simplify (sqrt(700) + 0 - sqrt(700)) + 2 + sqrt(700)*-2*-4 + 1*(6*(sqrt(700) + (sqrt(700)*2)**2) + sqrt(700)).
150*sqrt(7) + 16802
Simplify (sqrt(110) + -5*(sqrt(110) + sqrt(110)*-3))/(sqrt(810)*3).
11*sqrt(11)/27
Simplify ((-2*sqrt(325)*2 - sqrt(325)) + 4 - (5*(sqrt(325) + sqrt(325)*-1) + sqrt(325) + 4))**2.
11700
Simplify ((sqrt(2816) + sqrt(2816) + sqrt(2816) + 0)*-5 - sqrt(2816) - -2*(sqrt(2816) + -2))**2.
1792*sqrt(11) + 551952
Simplify (((1 + -1 + sqrt(704))**2 - (-4 + 2 + sqrt(704))**2) + -4)*-1*3.
-96*sqrt(11) + 24
Simplify 2*(3*sqrt(1300) + -2)**2*-2 + -1.
-46817 + 480*sqrt(13)
Simplify (6*(4 + -1 + sqrt(7) + (0 + sqrt(7) - sqrt(7))) + 4)**2.
264*sqrt(7) + 736
Simplify -2 + (sqrt(80) - sqrt(80)*-2)/(sqrt(16)/sqrt(4)*5).
-2 + 6*sqrt(5)/5
Simplify sqrt(1088)*-1 - (sqrt(17) + sqrt(17) + 1 + -4)**2 - ((sqrt(153) - sqrt(153)*-3*5)/sqrt(9))**2.
-4429 + 4*sqrt(17)
Simplify (2*sqrt(228)*2)/(sqrt(72)/(sqrt(24) + sqrt(6))).
12*sqrt(19)
Simplify (1*sqrt(192)*5 + sqrt(192) + -1 + -3)**2.
-384*sqrt(3) + 6928
Simplify (((sqrt(480)/(sqrt(40) + sqrt(10)))/sqrt(3))/(-2*(sqrt(1152)*-2 + sqrt(1152))))**2.
1/2592
Simplify (2*(sqrt(136) + -3*sqrt(136)))/(sqrt(96)/sqrt(108))*4.
-48*sqrt(17)
Simplify 2 + sqrt(162) + (sqrt(1152))**2 + (sqrt(256)*4 + sqrt(16))/(sqrt(32)*2).
53*sqrt(2)/4 + 1154
Simplify sqrt(45) - (0 + (sqrt(45) - (1*sqrt(45))**2 - sqrt(45))) - ((sqrt(5) - (5 + (sqrt(5) - (2 + sqrt(5)))**2)) + -2).
2*sqrt(5) + 56
Simplify 4 + (sqrt(1539)*3*-5 + sqrt(1539) + 3*sqrt(1539)*5)*2.
4 + 18*sqrt(19)
Simplify 4 + sqrt(44)/sqrt(4)*-5 - ((sqrt(11) + (1*2*sqrt(11) - sqrt(11)) - sqrt(11))**2 + 0).
-5*sqrt(11) - 7
Simplify (((sqrt(2057) - sqrt(2057)*-2)*-4 - (5 + 3*sqrt(2057))) + -3 + 1)**2.
2310*sqrt(17) + 462874
Simplify ((-3*-1*sqrt(363)*1)**2 + 2)*1.
3269
Simplify (0 + -6*(sqrt(1100) + sqrt(1100) + 1)*1 + 4)**2*-1.
-158404 - 480*sqrt(11)
Simplify (0 + (-2*(sqrt(1539) + 0) + 1*(sqrt(1539) + -1))*-5)**2.
450*sqrt(19) + 38500
Simplify (1*(sqrt(320) + 2))**2 + (-2*3*sqrt(320))**2.
32*sqrt(5) + 11844
Simplify -4 + (sqrt(252) + 4*(-1 + sqrt(252)) + sqrt(252) + ((1 + sqrt(252) - sqrt(252)) + 1 - sqrt(252)))**2.
-120*sqrt(7) + 6300
Simplify (4*(1 + -2*sqrt(637)) + 3 + 6*-3*sqrt(637))**2.
-2548*sqrt(13) + 430661
Simplify (5*(sqrt(567) - (sqrt(567) + -2)))**2 + 4 + -5*((sqrt(567) + (sqrt(567) - sqrt(567)*1))*-1 + sqrt(567)).
104
Simplify (sqrt(135)/sqrt(5) + sqrt(27))/sqrt(9)*-3 - (sqrt(48)/sqrt(2))/sqrt(8)*3.
-9*sqrt(3)
Simplify 4 + (1*((-5*sqrt(104))/sqrt(8) - sqrt(13)) + -2)**2.
24*sqrt(13) + 476
Simplify 2 + -3 + (-1 + sqrt(1100) + 3)**2 + 5.
40*sqrt(11) + 1108
Simplify (-1*(sqrt(160) - sqrt(160)*3))/((sqrt(440)/sqrt(8))/sqrt(11)).
8*sqrt(2)
Simplify -1 + (2*sqrt(140))/(sqrt(405) - sqrt(5)).
-1 + sqrt(7)/2
Simplify ((3 + -4*(3*(1 + sqrt(1331)) + sqrt(1331)) + 2)*-3)**2.
22176*sqrt(11) + 3067065
Simplify (-1*sqrt(13)*-4 + sqrt(117)*2)*4 + 2 + sqrt(637) + sqrt(637) + (sqrt(637) - (0 + sqrt(637) + -1)).
3 + 54*sqrt(13)
Simplify (sqrt(847) - (sqrt(847) - (1 + sqrt(847) + sqrt(847))) - sqrt(35)/(sqrt(10)/sqrt(2)) - (-1 + sqrt(70)/sqrt(40)))**2.
82*sqrt(7) + 11783/4
Simplify (1*(sqrt(77) - (sqrt(77) - 3*2*sqrt(77))))/(sqrt(121)/((sqrt(66) + 2*sqrt(66) - sqrt(66))/sqrt(6)))*-5.
-60*sqrt(7)
Simplify ((-1*sqrt(1701) + sqrt(1701))*-6)/(sqrt(12)*-1*-2).
0
Simplify 2 + -1*((sqrt(252)*-3)**2 + -3).
-2263
Simplify (1*(-1 + sqrt(7)) - (sqrt(84)/sqrt(2))/sqrt(6))**2 + -2 + sqrt(70)/sqrt(90).
-1 + sqrt(7)/3
Simplify (sqrt(96)/(sqrt(768)/sqrt(4)))/(-6*2*sqrt(100)).
-sqrt(2)/240
Simplify -1 + (sqrt(84) - 1*sqrt(84)*4)/sqrt(12) - ((sqrt(7) - (sqrt(7) - (sqrt(28)/sqrt(4) + 2)) - sqrt(7))**2 + 6*sqrt(63)).
-21*sqrt(7) - 5
Simplify (4 + -1 + (sqrt(320) + (sqrt(320) - (sqrt(320) + 0 + sqrt(320))))**2)*-3*1.
-9
Simplify (3*(-1*(3 + sqrt(33)/sqrt(3)) + 1 + sqrt(11) + 4 + sqrt(11)*-3))**2.
-108*sqrt(11) + 927
Simplify (2 + 4 + 0 + sqrt(304) + -4)**2*2.
32*sqrt(19) + 616
Simplify (4 + (sqrt(75) - -2*(sqrt(75) + 0)) + 5 + -2*sqrt(75) + 0)**2.
90*sqrt(3) + 156
Simplify 4*(4*(sqrt(45) - (sqrt(45) + 1)) + sqrt(315)/(sqrt(7) - (sqrt(28)/sqrt(4) - sqrt(7))) + 2)**2.
-48*sqrt(5) + 196
Simplify -3*(1 + ((1 + sqrt(180) - sqrt(180)) + sqrt(180))**2).
-546 - 36*sqrt(5)
Simplify ((5 + 0 + sqrt(475) + sqrt(475) + sqrt(475) + sqrt(475) - 5*(sqrt(475)*-4 - sqrt(475)))*-4)**2 + -5.
23200*sqrt(19) + 6391995
Simplify ((sqrt(90)/sqrt(3)*5 + (sqrt(480) + sqrt(30))*5)/(sqrt(10) - 3*1*sqrt(10) - -4*sqrt(10)*-2))**2.
27
Simplify (sqrt(152) + (sqrt(152) - 2*sqrt(152)*2) - (sqrt(152) + (sqrt(152) - (sqrt(152) - -2*sqrt(152))*5)))/(sqrt(72)/sqrt(144) + sqrt(80)/sqrt(40)).
44*sqrt(19)/3
Simplify (-6*(sqrt(78) + (sqrt(78) - (6*sqrt(78)*-1 + sqrt(78))) + sqrt(78) + sqrt(78)))/(sqrt(72)/(sqrt(132)/(sq | {
"pile_set_name": "DM Mathematics"
} |
+ 868. Let y be z(4). Solve 4*c = 3*c + 3*s - 2, 0 = 3*c - y*s + 6 for c.
-2
Suppose -3*f + 3 = 5*d - 6, 12 = 4*f + 4*d. Suppose -5*j = -f*p - 6, -8*p + 15 = -3*p. Let m be (3/2)/(2/4). Solve -m*k = -3, -k - 17 = j*r - 3 for r.
-5
Suppose 104*r = 102*r + 2*d - 12, 3*r + 3*d - 18 = 0. Solve -w + 7 = -2*f, r = 2*f - 36*w + 39*w - 13 for f.
-1
Let u(a) = -97*a + 51*a + 52*a - 26. Let h be u(5). Solve -h*v + 8 = -2*f, 0 = -2*f - 4*v - v + 1 for f.
-2
Let n be ((-50)/5 + 6)/(0 + 1). Let k be n/(-6)*(-21)/(-7). Solve -5*p = i + 20, -k*i - 6*p = -p + 20 for i.
0
Suppose -3*i + 136 = -f - 0*i, 3*f - 3*i = -426. Let d = -141 - f. Solve 2*v - d*v + 8 = 4*h, -2*h + 3*v = 12 for h.
0
Let j(m) = m**2 - 3*m + 4. Let p be j(-3). Let i = -48 + 56. Let g = i + -3. Solve 2*k = -5*s + p, g*s - 4*k - 15 = k for s.
4
Suppose -4*o + 18 = -2. Suppose -2*v = u + v - 12, -o*u + 5*v = 0. Let x = -960 + 963. Solve 0 = 3*s + h - x, 8 = s - 5*h + u*h for s.
2
Let p be (6 + 15/(-3))/(-1 - 60/(-54)). Solve 3*q + 15 = 3*t, 4*q + 5 + p = 2*t for t.
3
Let w be 16/6 - (-6)/(-9). Suppose 0 = -5*t - 5*z - 495, -2*z + 458 - 68 = -4*t. Let h = -94 - t. Solve -3*n = -h*n - 5*k + w, 3*n + 7 = -2*k for n.
-3
Let k be 296/40 + (-27)/(-45). Solve r + 3*d = -9, 6*r - d = k*r + 3 for r.
0
Let c be (91/(-7) + 14)*17. Solve c*i + 2 = 19*i + 4*f, i - 4*f = -17 for i.
-5
Let u = -463 - -467. Solve h - 1 = 0, n - 10 = -u*h - 7 for n.
-1
Suppose 25*y - 370 = 18*y - 30*y. Solve -r = -2*c - 13, 4*r - c = -y + 34 for r.
5
Suppose 0 = 22*v + 49*v - 355. Solve -3*d = 4*m - 8, -6*d + v*d - 2*m + 2 = 0 for d.
4
Suppose -110 = 2*m - 21*h + 20*h, -4*m + 4*h = 216. Let u be (-5 - 34/(-4))/(m/(-32)). Solve u*i - 4*i = -j + 10, 5*i = -15 for j.
4
Let b be 1*(14 + -6 - 1 - 73). Suppose 385 - 113 = 4*o. Let z = b + o. Solve -30 = 4*q - 7*a + z*a, -3*q = -a + 17 for q.
-5
Let j be (-4)/3 + 392/294. Solve 3*f + 12 = 3*l, j = 2*f - 3*f - 2 for l.
2
Let h = -11127 + 11127. Solve -3*p - 12 = h, -3*p - 6 - 6 = -2*t for t.
0
Let i = -2 + 3. Let t(v) = -5*v**2 - 103*v - 513. Let c be t(-12). Solve f = -c*g - i, f + f - 3 = -g for g.
-1
Let w(f) = f**3 + 34*f**2 - 120*f - 329. Let u be w(-37). Solve -t = -5*g + 17, -3*t - 28 = u*g - 34 for t.
-2
Let j(h) = -11*h + 6*h + 6*h + 18. Let y be j(-16). Let t(b) = -b**2 - 5*b + 12. Let f be t(-6). Solve -2*c - 8 = -y*n, 2*n - f*n = 3*c - 16 for c.
0
Let n(q) = -7*q**3 - q**2 + q - 5. Let y be n(3). Let o = y + 202. Solve -3*j + 4*t = o*j + 2, 5*t = 2*j + 11 for j.
2
Suppose 3*u - 377 - 151 = 0. Suppose 2*g - 4*v - u = 0, g - 30 = -v + 70. Suppose 99*y - g*y = 0. Solve y = 5*m - 4*z - 13, 3*z + 16 = 5*m - 0*z for m.
5
Let t(c) = -c**2 - 4*c - 50 + 28*c + 8 + 7 - 45. Let x be t(20). Solve -5*s - 5*j - 15 = 0, -4*j - 15 = 5*s - x*s for s.
-3
Suppose 4*d + 48 = -5*k, 5*k + 5*d = -19 - 26. Let r be (8/4)/(-4)*k. Solve 4*i = 3*w - r*w + 13, i - 1 = -3*w for i.
4
Let x be 4/(-10) - (-64)/10. Suppose 0 = 11*y - 7*y - 108. Let m be (-1)/(9/y*3/(-2)). Solve -f - 3*f + x = m*h, -5*f - 3*h = -10 for f.
-1
Let y(n) = -n**2 + 53*n - 424. Let p be y(43). Solve f - 17 = -4*o, 1 = 2*o + f - p for o.
5
Suppose k + 9 = q, 2*k - q = 4*q - 33. Let h be (-13 - 11)*1/k. Solve -3 - h = -5*w - p, 0 = -5*w + 2*p + 12 for w.
2
Let o = 11 - 8. Suppose -q - q = -4*n + 8, -22 = -5*q - 4*n. Solve q*g = -2*g - 3*z - 27, 0 = o*g - 3*z - 6 for g.
-3
Suppose -113*p + 59*p + 10 = -52*p. Solve -5*n + 0 = -5*w - 5, -2*n = -p*w - 14 for n.
-3
Let b be (-10 + 11 - 31)/((-2)/(-8) + -1). Solve -45 = -5*x + 4*y, -10*y = -5*x - 7*y + b for x.
5
Let j(o) = -3*o**2 + 19*o - 3. Let f be j(6). Let l be f*3 - ((-162)/9)/(-6). Solve y = -2*u - y - 2, -l = -2*u - 4*y for u.
-5
Let h(q) = -25*q**2 - 292*q - 184. Let u be h(-11). Let z(t) = -t**2 - 6*t - 4. Let x be z(-3). Solve -2*a + a = -u*f - x, 0 = 3*a + 3 for f.
-2
Let w(a) = -306*a**2 + 3364*a + 24. Let j be w(11). Solve 2*s + 4*p = -38, 5*p + 49 - 4 = -j*s for s.
-5
Let o(d) = 81*d + 1220. Let z be o(-15). Solve m = 2*a + 3 - 7, a - z*m - 20 = 0 for a.
0
Let s(k) = -2*k**2 - 51*k + 905. Let t be s(12). Let a(d) = d + 1. Let y be a(1). Solve 15 = t*q + 5*x, -y*q + x + 7 = -2 for q.
4
Let k be 2 - 7 - (15 + -27). Suppose 0 = -k*l - 22*l + 174. Solve -j + 5*y = 4*j, 5*y + l = 2*j for j.
-2
Let d(h) = -122*h - 730. Let a be d(-6). Let j(u) = 26*u. Let v be j(1). Solve 0 = 5*s + a*m - v, -2*s + 14 = 2*m for s.
4
Let q be (196/(-8))/((-3 - 3)/12). Let l(y) = y**3 - 50*y**2 + 48*y + 51. Let b be l(q). Solve -x - 2 = 5*w + b, -2 = -5*x - 3*w for x.
1
Suppose -7 + 47 = 5*r. Suppose -m = -r + 23. Let o = 20 + m. Solve -f + 6 = j, o = -2*j - 3*j + 2*f for j.
1
Suppose 2*i = -4*n - 13 + 113, -3*i = 12. Suppose -3*k = 2*v + 3*v - 34, 4*k = -3*v + n. Solve -k*w + t = -2*t + 3, -3*t = -4*w + 1 for w.
4
Suppose -y + 7 = -x + 3*y, 0 = -4*x + 3*y - 15. Let h be (x + (-15)/(-10))/(3/236). Let g = 123 + h. Solve 2*n + 0*f = 3*f - 12, -f = g*n - 4 for n.
0
Suppose 8*i + 800 = 2200. Let a = i - 171. Solve b + 8 = -4*d, 2*d + 6 = a*b + 2 for b.
0
Let z = -2 - -8. Suppose 2*q - z*q = -48. Suppose w = 3*w - q. Solve -w*t - 4*p + 8 = -2*t, -3*t + 11 = 4*p for t.
-3
Suppose -2*l = -6, 0 = -18*p + 19*p - l. Suppose -29 = 5*y + 16. Let d be (-2)/p*y/6*1. Solve n + 4*k = -16, -d = -3*n + 4*k + 31 for n.
4
Suppose -10*y + 5040 = 30*y. Suppose 13*h - 56 = y. Solve 5*q = -2*p + 3*p - h, 0 = -5*p + 3*q + 26 for p.
4
Let s(g) = -13*g + 81. Let c be s(5). Suppose -302*p = -310*p + c. Solve 4*m = -8*u + 3*u - 32, 2*u + p = 2*m for m.
-3
Suppose 2*j - 6 = -2*r, j = 5*r + 20 - 5. Solve 4*x + 4*z = -16, -x + j*x = -z - 19 for x.
-5
Let l(h) = 2*h**3 + 35*h**2 + 10*h - 78. Let v be l(-17). Solve -23 = -5*q + 2*g, 5*q + 4*g + 12 = v for q.
5
Suppose -45 = -24*c - 1 + 52. Solve -2*f + 5*y - 9 = 0, 2*y = c*f + y - 9 for f.
3
Suppose -2*w - 12 = -2*q, 4*q = 3*w + 366 - 342. Let o = 9 + -6. Solve -2*u - 4*l = 18, w*u - o*l - 13 = u for u.
-1
Suppose -3*w + 0*a - 3*a + 18 = 0, 3*w + a = 12. Suppose -k + 25 = -4*x, 0 = 4*k - 5*x - 29 - 16. Solve -k*j = w*u - 4*j - 2, u = -3*j - 10 for u.
2
Let j = 387 - 324. Let u = j + -34. Solve 3*g = 4*c + 1, -6*g = -g + c + u for g.
-5
Let n = 418 - 322. Let d be n/21 + (-5)/((-105)/(-12)). Solve 0 = g - c, d*g + 24 = -5*c + c for g.
-3
Let d = 16 + -62. Let c(f) = -f**3 - 6*f**2 + 7*f - 8. Let x be c(-6). Let j = d - x. Solve -q + 3 + 6 = -j*m, -9 = 3*m for q.
-3
Let j = 491 + -272. Let v = 224 - j. Solve 5*s + 10 = a, 16 + 4 = -v*s + 3*a for s.
-1
Let w(j) = -12*j**2 + 5*j + 9. Let f be w(1). Solve -10*h = -12*h + f*d - 8, h + 8 = 2*d for h.
0
Suppose -19*r + 322 - 227 = 0. Solve 3*o - 5*f - 8 = 0, -f - 31 = r*o - 35 for o.
1
Suppose 6*h - 16 = 14. Let u be 2 - h - 24/(-4). Suppose -2*w - m - u = 0, 3*m + 0*m = -5*w - 9. Solve 0*a - 2*s = -3*a - 17, -a + 4*s - 9 = w for a.
-5
Suppose -2*b + 5*n = -70, -76*b = -77*b + 2*n + 36. Solve 2*h + 2*p + 4 = 0, -14 = 5*h + 43*p - b*p for h.
-4
Suppose 5*l - 35 = 2*v + 30, -4*l + 2*v + 50 = 0. Let r be (-1)/(l/18*(-15)/50). Solve -3*u = t + 4, 3 = -2*t - 3*u + r for t.
5
Let q = 18249 + -18236. Solve 0 = -l - 3, -2*t - 10*l + q*l = -9 for t.
0
Let m be 18/12 - (-57)/(-38). Suppose -z + 2*l + 30 = 0, -4*z + l = -39 - 67. Solve m = -0*x - x + q - 1, 2*x + 5*q = z for x.
3
Let y(r) = -64*r - 22 + 25*r + 20*r + 24*r. Let w be y(16). Let u = 58 - w. Solve 2*n + 4*x = u, 0*x - 6 = -4*n - 5*x for n.
4
Suppose -212*u - 905 = -207*u. Let c = u - -184. Solve 0 = -5*z - 3*y, c*z = -0*z + y + 14 for z.
3
Suppose -715 + 1439 = 15*w + 709. Solve w = 3*r + 5*l, -50 + 44 = -5*r - 4*l for r.
2
Suppose 1 = -n - 3*z, -36*z + 41*z + 1 = -2*n. Solve p - 49*a + 44*a + 22 = 0, -11 = -n*p - a for p.
3
Suppose 5*f = 5*y + 5, -878 + 870 = -4*f. Solve m = 3*u + y, -44*m + 46*m + 6 = 2*u for u.
-2
Suppose -p + 22 = -9*g + 5*g, 0 = g - 3. Let k = p + -30. Solve -k = -2*m - s, 0*m - 4*m = -2*s - 16 for m.
3
Let w(c) = 14*c - 51. Let q(h) = -h**2 + 15*h - 22. Let n be q(13). Let t be w(n). Solve 5*f - 9 = x, -4*f + f = -t*x - 23 for f.
1
Let w = 967 - 964. Let t = -3 + 5. Suppose -44 = -2*j - h + w*h, t*h - 19 = -j. Solve -z + 4*s - j = 0, -5*s - 8 + 31 = 2*z for z.
-1
Suppose y - 5*y = -20. Let q = 7041 - 7041. Solve 3*t = t - 4, q = -3*f + y*t + 7 for f.
-1
L | {
"pile_set_name": "DM Mathematics"
} |
349
What is the f'th term of 554, 997, 1440, 1883, 2326?
443*f + 111
What is the q'th term of -697696, -697695, -697694, -697693, -697692, -697691?
q - 697697
What is the h'th term of 389, -194, -777?
-583*h + 972
What is the g'th term of -13058, -13508, -13958, -14408?
-450*g - 12608
What is the q'th term of -628, -1267, -1906, -2545, -3184, -3823?
-639*q + 11
What is the m'th term of 321591, 321589, 321587, 321585, 321583?
-2*m + 321593
What is the h'th term of -25, -430, -835, -1240?
-405*h + 380
What is the o'th term of -141, -135, -137, -153, -189, -251, -345, -477?
-o**3 + 2*o**2 + 7*o - 149
What is the o'th term of 42, 284, 936, 2202, 4286, 7392, 11724, 17486?
34*o**3 + o**2 + o + 6
What is the k'th term of -963, -947, -919, -879?
6*k**2 - 2*k - 967
What is the l'th term of -155948, -311902, -467856, -623810, -779764?
-155954*l + 6
What is the v'th term of -358, -471, -664, -943, -1314, -1783, -2356?
-v**3 - 34*v**2 - 4*v - 319
What is the x'th term of -166, -332, -496, -658?
x**2 - 169*x + 2
What is the v'th term of 28083, 56121, 84159, 112197, 140235?
28038*v + 45
What is the g'th term of -11879, -11868, -11849, -11822, -11787, -11744?
4*g**2 - g - 11882
What is the l'th term of 45, 50, 1, -102, -259, -470, -735?
-27*l**2 + 86*l - 14
What is the w'th term of 18252, 18237, 18220, 18201, 18180?
-w**2 - 12*w + 18265
What is the b'th term of -97432, -194851, -292254, -389641, -487012?
8*b**2 - 97443*b + 3
What is the a'th term of -604, -1080, -1556, -2032, -2508, -2984?
-476*a - 128
What is the d'th term of 11152, 11114, 11076?
-38*d + 11190
What is the o'th term of 3777, 7480, 11183, 14886?
3703*o + 74
What is the p'th term of -504, -516, -562, -660, -828, -1084, -1446, -1932?
-3*p**3 + p**2 + 6*p - 508
What is the y'th term of 20735, 82957, 186661, 331847, 518515, 746665, 1016297?
20741*y**2 - y - 5
What is the p'th term of -734, -718, -710, -716, -742, -794, -878?
-p**3 + 2*p**2 + 17*p - 752
What is the c'th term of 260, 502, 730, 938, 1120, 1270, 1382, 1450?
-c**3 - c**2 + 252*c + 10
What is the q'th term of -45050, -90084, -135118, -180152?
-45034*q - 16
What is the q'th term of -311, -212, -111, -8, 97?
q**2 + 96*q - 408
What is the h'th term of 363, 3172, 10771, 25554, 49915, 86248?
399*h**3 + h**2 + 13*h - 50
What is the a'th term of -563, -1152, -1755, -2366, -2979?
a**3 - 13*a**2 - 557*a + 6
What is the a'th term of 9947918, 9947919, 9947920?
a + 9947917
What is the c'th term of -2451, -2448, -2445, -2442, -2439, -2436?
3*c - 2454
What is the z'th term of -8681, -17364, -26047, -34730, -43413?
-8683*z + 2
What is the z'th term of 2, 95, 200, 293, 350, 347, 260, 65?
-4*z**3 + 30*z**2 + 31*z - 55
What is the h'th term of -2654, -2624, -2574, -2504, -2414, -2304?
10*h**2 - 2664
What is the t'th term of -30, -79, -126, -153, -142, -75, 66?
3*t**3 - 17*t**2 - 19*t + 3
What is the q'th term of -639, -1314, -1989, -2664?
-675*q + 36
What is the y'th term of -8460833, -8460832, -8460831?
y - 8460834
What is the g'th term of -2180, -8668, -19482, -34622?
-2163*g**2 + g - 18
What is the k'th term of 1764, 1917, 2172, 2529, 2988?
51*k**2 + 1713
What is the y'th term of 1511, 6054, 13625, 24224, 37851?
1514*y**2 + y - 4
What is the m'th term of -45, -157, -331, -567?
-31*m**2 - 19*m + 5
What is the p'th term of 141, 161, 197, 255, 341?
p**3 + 2*p**2 + 7*p + 131
What is the a'th term of -4097, -16350, -36785, -65414, -102249, -147302, -200585, -262110?
-2*a**3 - 4079*a**2 - 2*a - 14
What is the d'th term of 111867, 111866, 111865, 111864, 111863?
-d + 111868
What is the c'th term of -606, -1082, -1544, -1986, -2402?
c**3 + c**2 - 486*c - 122
What is the g'th term of -61, -279, -665, -1237, -2013, -3011?
-3*g**3 - 66*g**2 + g + 7
What is the j'th term of -449, -1915, -4521, -8399, -13681, -20499, -28985, -39271?
-22*j**3 - 438*j**2 + 2*j + 9
What is the i'th term of 59613, 119238, 178865, 238494?
i**2 + 59622*i - 10
What is the p'th term of 426, 1899, 4360, 7815, 12270, 17731?
p**3 + 488*p**2 + 2*p - 65
What is the c'th term of 1459, 1304, 1149, 994, 839, 684?
-155*c + 1614
What is the j'th term of -26691, -26683, -26675, -26667?
8*j - 26699
What is the u'th term of 18209, 36412, 54615?
18203*u + 6
What is the z'th term of -49740, -49731, -49722, -49713, -49704, -49695?
9*z - 49749
What is the o'th term of 37193, 148779, 334761, 595145, 929937, 1339143?
o**3 + 37192*o**2 + 3*o - 3
What is the p'th term of -26, -139, -252?
-113*p + 87
What is the r'th term of -9952, -19904, -29856?
-9952*r
What is the q'th term of 33, 152, 365, 672, 1073, 1568, 2157?
47*q**2 - 22*q + 8
What is the l'th term of -163859, -327726, -491593, -655460, -819327, -983194?
-163867*l + 8
What is the o'th term of -25680, -25715, -25772, -25851, -25952, -26075, -26220?
-11*o**2 - 2*o - 25667
What is the t'th term of -460, -540, -622, -706, -792, -880, -970?
-t**2 - 77*t - 382
What is the w'th term of -275, -258, -155, 76, 477, 1090?
7*w**3 + w**2 - 35*w - 248
What is the i'th term of -6033, -24085, -54173, -96297, -150457, -216653?
-6018*i**2 + 2*i - 17
What is the r'th term of -1970, -1974, -1984, -1994, -1998, -1990, -1964, -1914?
r**3 - 9*r**2 + 16*r - 1978
What is the i'th term of -4855, -9738, -14675, -19690, -24807?
-4*i**3 - 3*i**2 - 4846*i - 2
What is the m'th term of -104620, -104600, -104580, -104560?
20*m - 104640
What is the b'th term of 23, 112, 267, 482, 751?
-b**3 + 39*b**2 - 21*b + 6
What is the q'th term of -631, -657, -683, -709, -735?
-26*q - 605
What is the u'th term of 106, 81, 14, -119, -342?
-4*u**3 + 3*u**2 - 6*u + 113
What is the r'th term of 63315, 63316, 63317, 63318, 63319?
r + 63314
What is the y'th term of -96093, -192218, -288353, -384504, -480677, -576878, -673113, -769388?
-y**3 + y**2 - 96121*y + 28
What is the s'th term of 27, 514, 1905, 4674, 9295?
79*s**3 - 22*s**2 - 30
What is the r'th term of -62, -69, -2, 169, 474?
5*r**3 + 7*r**2 - 63*r - 11
What is the w'th term of -73, -397, -1237, -2851, -5497?
-43*w**3 - 23*w - 7
What is the m'th term of -792, -831, -870, -909, -948, -987?
-39*m - 753
What is the i'th term of 941, 1706, 2471, 3236, 4001, 4766?
765*i + 176
What is the h'th term of 162, 183, 200, 219, 246, 287?
h**3 - 8*h**2 + 38*h + 131
What is the q'th term of -2013, -1967, -1897, -1791, -1637?
2*q**3 + 32*q - 2047
What is the z'th term of 2387353, 2387349, 2387343, 2387335, 2387325, 2387313?
-z**2 - z + 2387355
What is the b'th term of -1331, -1402, -1471, -1538, -1603, -1666?
b**2 - 74*b - 1258
What is the w'th term of 9386, 9362, 9324, 9272?
-7*w**2 - 3*w + 9396
What is the v'th term of -160782, -321563, -482344, -643125?
-160781*v - 1
What is the a'th term of 12626, 12625, 12624, 12623, 12622, 12621?
-a + 12627
What is the p'th term of 151909, 151908, 151907, 151906?
-p + 151910
What is the g'th term of 2297, 4551, 6799, 9041?
-3*g**2 + 2263*g + 37
What is the x'th term of 103, 129, 153, 175, 195, 213, 229?
-x**2 + 29*x + 75
What is the s'th term of -11306, -90631, -305934, -725201, -1416418?
-11331*s**3 - 3*s**2 + s + 27
What is the t'th term of 1438950, 1438949, 1438948, 1438947?
-t + 1438951
What is the x'th term of -36, 63, 274, 591, 1008, 1519?
-x**3 + 62*x**2 - 80*x - 17
What is the m'th term of -2092, -2066, -2040, -2014, -1988?
26*m - 2118
What is the y'th term of 29, -8, -87, -226, -443, -756, -1183, -1742?
-3*y**3 - 3*y**2 - 7*y + 42
What is the y'th term of -1578, -3169, -4760, -6351, -7942, -9533?
-1591*y + 13
What is the m'th term of 8332, 33364, 75074, 133456, 208504, 300212?
-m**3 + 8345*m**2 + 4*m - 16
What is the l'th term of -383, -1656, -2903, -4112, -5271, -6368, -7391?
2*l**3 + l**2 - 1290*l + 904
What is the y'th term of 183454, 183465, 183476, 183487, 183498, 183509?
11*y + 183443
What is the o'th term of 1602, 1575, 1498, 1347, 1098, 727, 210, -477?
-4*o**3 - o**2 + 4*o + 1603
What is the s'th term of -18026, -36080, -54136, -72194, -90254, -108316, -126380?
-s**2 - 18051*s + 26
What is the i'th term of -12744, -50984, -114718, -203946, -318668, -458884?
-12747*i**2 + i + 2
What is the o'th term of 6865, 27460, 61777, 109810, 171553, 247000, 336145, 438982?
-o**3 + 6867*o**2 + o - 2
What is the p'th term of -11528, -11513, -11488, -11453, -11408, -11353?
5*p**2 - 11533
What is the z'th term of 54 | {
"pile_set_name": "DM Mathematics"
} |
+ 6*o(n). Suppose 10 = 8*v - 3*v. What is the remainder when v is divided by t(-5)?
0
What is the remainder when (-9 - (-4 + 6))*-5 is divided by 20?
15
Suppose 3*y + 4*f = -10, 3*f + 22 = 3*y + 4. Calculate the remainder when 44/y - (2 + 0) is divided by (-2)/(-1 - (-10)/14).
6
Suppose 4*f = -s - 12, s - 3*s = f - 4. Let g(w) = w**3 + 6*w**2 + 5*w + 6. What is the remainder when 70 is divided by g(f)?
16
Let f = 21 + -2. Let x be (-1)/4 + 17/4. Suppose x*r + 0*r = -3*s + 1, 3*r + 50 = 5*s. Calculate the remainder when f is divided by s.
5
Let h = 24 + 2. Let a = 11 + h. Calculate the remainder when a is divided by 10.
7
Let z = 75 + -52. Let p be (6 + -2)/(2/(-3)). Let b = p + 14. Calculate the remainder when z is divided by b.
7
Let x = 100 + -59. What is the remainder when x is divided by 11?
8
Let f(p) = p**3 + 3*p**2 + 3. Let b(c) = -c + 9. What is the remainder when b(4) is divided by f(-3)?
2
Let q = -10 - -10. Suppose f - 5*f + 188 = q. Calculate the remainder when f is divided by 25.
22
Suppose 0 = -5*q + 2*j + 27, -2*j = -4*q - 0*q + 22. Let b = -3 + q. What is the remainder when 4 is divided by b?
0
Suppose -k + 22 = 2. Calculate the remainder when 0 + 19/(-2)*-4 is divided by k.
18
Let r(w) = w**2 + 5*w - 15. Calculate the remainder when 102 is divided by r(4).
18
Suppose 4*l + 3 = -i, l - i = -l - 3. Let w(y) = -y**3 + y**2 + 10. Calculate the remainder when w(0) is divided by (-2)/((-2)/(3 - l)).
2
Suppose 2*s - 4*s + b = -12, -3*b = -5*s + 31. Suppose 4*d = s*d. Suppose -u + 6*u - 215 = d. What is the remainder when u is divided by 15?
13
Suppose -4*d = -4, 5*c - 3*d + 125 = 2*d. Suppose -o + 6 = -5. Calculate the remainder when c/10*(-40)/3 is divided by o.
10
Let t = -12 + 65. Calculate the remainder when t is divided by 19.
15
Suppose h + 3 = 13. Suppose -f = -4*f + 4*k + 65, -5*f - 4*k = -151. Calculate the remainder when f is divided by h.
7
Suppose -5*n - 15 = -10*n. Suppose -n*o + 1 = -0*o - a, 0 = -5*o - 5*a + 35. Suppose -o*z = -35 - 11. Calculate the remainder when z is divided by 6.
5
Let x(w) = w**3 - 2*w**2 - 4. Let v be (1*-1)/((-3)/(-9)). Let o = v - -13. What is the remainder when x(4) is divided by o?
8
Let u = -26 - -55. Calculate the remainder when 113 is divided by u.
26
Let n(q) = 49*q**3 + q**2. Calculate the remainder when n(1) is divided by 9.
5
Let a(u) = 34*u**2 - 27*u**2 + 7 - u + 0*u - u**3. Calculate the remainder when a(6) is divided by 10.
7
Suppose -16*a = -6*a - 980. What is the remainder when a is divided by -1*(-50)/2*1?
23
Let j(a) = 10*a**3 + 2*a**2 - 1. Let p be 3/(-6)*(1 + -1). Suppose 5*u - 3*i - 5 = p, 0*i - 3*i = 0. Calculate the remainder when 31 is divided by j(u).
9
Let x(g) = -g**2 + 14*g. Let k be x(11). Suppose 5*p - 2*p - k = 4*v, 3*p - v = 42. Calculate the remainder when 29 is divided by p.
14
Suppose 2*p - 7*p - 60 = -5*g, 2*g - 4*p - 32 = 0. Let a(o) = -o**3 + 7*o**2 + 11*o - 10. What is the remainder when 53 is divided by a(g)?
11
Suppose 0 = 4*i + 3*d + 9, -3*i + 3*d + 9 = -0*i. Suppose -b = -i*b - 8. What is the remainder when ((-44)/(-6))/(3/9) is divided by b?
6
Let x = -98 + 140. Suppose j = 4*j - x. Calculate the remainder when j is divided by 6.
2
Suppose -3*r + 5*h = -6, 0 = -4*h - 0*h. Let s = 7 - r. Suppose 4*w - 40 = -3*o, -2*o = -o - 2*w. Calculate the remainder when o is divided by s.
3
Suppose -4*c - 12 = -4*y, c = 5*y - 3*c - 13. Suppose 0 = -5*g - 4 - y. Calculate the remainder when 37 - (-2 - 2*g) is divided by 13.
11
Let i = -25 + 46. Let v = 29 - i. What is the remainder when 30 is divided by v?
6
Let l(j) be the second derivative of j**4/12 - 5*j**3/6 + 7*j**2/2 + 4*j. What is the remainder when 60 is divided by l(7)?
18
What is the remainder when 95 is divided by (156/(-65))/((-1)/5)?
11
Let k(c) = c + 38. Suppose 4*b - 4 = 32. Let s be -1 + b/3 + -2. Calculate the remainder when k(s) is divided by 13.
12
Suppose 0 = 5*j + 5*w - 45 - 255, -2*w = -2*j + 112. Let r = j - 18. What is the remainder when r is divided by 11?
7
Let o = 64 + -44. What is the remainder when (-8)/(-28) + (-257)/(-7) is divided by o?
17
Suppose 7 = 4*g + 4*j - 249, -4*g + 251 = -j. Suppose t = -2*t + g. Calculate the remainder when t is divided by 12.
9
Let n(j) = 10*j - 2. Let v = 7 - 5. Suppose -117 - 195 = -6*q. What is the remainder when q is divided by n(v)?
16
What is the remainder when 13 is divided by -1*15/(-3 + 0)?
3
Let n = 56 - 42. Let w be 4 - (-2 - -1 - -2). Suppose -k + w*v - 4 = 0, v - 3 - 5 = -k. Calculate the remainder when n is divided by k.
4
Suppose -3*u + 3 = -12. Let n = u + 5. What is the remainder when (0 + 0 + 29)/1 is divided by n?
9
Suppose 5*t - 27 = -2*z + 8, -4*t = 5*z - 96. What is the remainder when 39 is divided by z?
19
Let m(k) = -k**2 + 2*k**2 - 7 + 4*k + 0*k**2. Calculate the remainder when 1026/72 - (-5)/(-4) is divided by m(-6).
3
Suppose 2*n - 3*h = 24, -4 - 18 = -3*n + h. What is the remainder when 16 is divided by n?
4
Suppose f = 91 - 47. Let w = 26 - 11. What is the remainder when f is divided by w?
14
Let q(m) = 2*m - 3. Let v be q(4). Let y(t) be the second derivative of 5*t**3/6 - 3*t**2 - 2*t. What is the remainder when 37 is divided by y(v)?
18
Let a = -6 + 0. Calculate the remainder when 47 is divided by (-78)/(-5) - a/15.
15
Calculate the remainder when 32 is divided by 4 - 3 - (-17 - 0).
14
Suppose b - 15 = -g + 2*g, 2*b - g - 34 = 0. Suppose -4*v + 216 = -q + 3*q, -2*v - 2*q = -106. Calculate the remainder when v is divided by b.
17
Suppose -3*r = -0*r. Suppose 9*f - 12*f + 9 = r. Calculate the remainder when 6 is divided by f.
0
Suppose -35*s - 768 = -47*s. What is the remainder when s is divided by 22?
20
Suppose 0 = 5*m - 29 + 9. Suppose 3*g + 10 = m. Calculate the remainder when ((-1)/(-3))/(g/(-12)) is divided by 2.
0
Suppose x = -1 + 20. Calculate the remainder when 32 is divided by x.
13
Let b = 40 + -17. Calculate the remainder when b is divided by 15.
8
Suppose 51 = 3*a - 0*a. Suppose 2*n = 24 + 32. Suppose -2*j - 3*t - 9 = -4*j, -4*j = 4*t - n. Calculate the remainder when a is divided by j.
5
Suppose -t + g + 6 = -2*g, 34 = 2*t + 5*g. Suppose 0 = 3*s - 4*s - n + t, 0 = -4*s + 5*n + 39. Calculate the remainder when 17 is divided by s.
6
Suppose -2*b + 1 + 3 = 0. What is the remainder when 9 - (-2)/(4/2) is divided by 4/b + (3 - -1)?
4
Let h be 4 + -2 - (3 + -3). Suppose 2*a = -0*l + 2*l + 12, 3*l + h = a. What is the remainder when a is divided by 5?
3
Let m(j) = 12*j**2 - 8*j - 10. Let i be m(-4). Suppose 3*g - 5*k = i, 10*g - 378 = 5*g + 3*k. What is the remainder when g is divided by 20?
18
Let v = -8 + 17. Calculate the remainder when 4/(-18) + 641/9 is divided by -3 - v*(1 + -4).
23
Let x be 3/(9/6) - 2. Suppose 3*i + 2*i = x. Suppose i*o = 2*o - 146. Calculate the remainder when o is divided by 25.
23
Suppose 3*q - 17 = -2*x - 0*q, x - 41 = 5*q. Calculate the remainder when 127 is divided by x.
15
Let x be 1/((-6)/9)*-2. Suppose x*y - 75 = 2*q - 0*q, -25 = -y + 3*q. What is the remainder when y is divided by (-1)/((2/(-9))/2)?
7
Let r(x) = x**2 + 5*x + 3. What is the remainder when 65 is divided by r(-7)?
14
Let b = 7 - 4. Suppose -54 = -4*p + p. Suppose -l + 3*i = -p, l - i - 23 = b*i. Calculate the remainder when 8 is divided by l.
2
Let l(s) = s**2 + 5*s - 18. Suppose 4 = -i - 4*f + 27, 22 = 2*i + 2*f. What is the remainder when l(-9) is divided by i?
4
Suppose -3*m = -4*b + 7, -5*m - b = -19 - 0. What is the remainder when (m/2)/((-3)/(-4)) is divided by 2?
0
Suppose 0 = -3*g + 119 + 25. Let d = g + 19. Calculate the remainder when d is divided by 14.
11
Let f(q) = -q**2 - 7*q + 2. Let r be f(-7). Suppose c = -r*c. Suppose -u - 2 + 15 = c. What is the remainder when 24 is divided by u?
11
Suppose -2*n - 3*n = t - 36, -12 = -n + t. Suppose -2*u + 2*x = -0*u - 20, -4*x = -20. What is the remainder when u is divided by n?
7
Let g be 1 + 1 - (5 + 4). Let s(y) = y**3 + 7*y**2 - y - 8. Let t be s(g). What is the remainder when (-2 + -1)/t + 14 is divided by 9?
8
Let g(o) = -19*o + 2. Suppose 5*y = 3*f + 51, 4*y + f = 46 + 5. Calculate the remainder when g(-1) is divided by y.
9
Let k = -14 - -19. Let d be 2*(-1)/2 + 1. Suppose d = -k*i + 2*i + 78. What is the remainder when 50 is divided by i?
24
Suppose 4*x + | {
"pile_set_name": "DM Mathematics"
} |
n ascending order.
-3, a, o
Let p = 362.5 - 363. Sort 1/4, 0.5, p, -4.
-4, p, 1/4, 0.5
Let m = 794 - 789. Sort -431, 0, m in decreasing order.
m, 0, -431
Suppose 10 + 0 = -5*w. Suppose -3*c + 205 - 58 = 0. Suppose c*x = 45*x + 28. Sort 5, w, x in descending order.
x, 5, w
Suppose 13 = 13*l - 26. Let d be 4/18 - 141/27. Put -4, l, d, -2 in decreasing order.
l, -2, -4, d
Suppose 0 = -0*j - 2*j. Suppose -2*r + 4*v = 3*r, j = -4*r - 5*v + 41. Let f(y) = -y**3 + 6*y**2 + y - 6. Let c be f(6). Put r, c, -5 in ascending order.
-5, c, r
Let j be 2/(-15) + 56/(-30). Let o(f) = -f - 12. Let t be o(-7). Put t, -1, j in descending order.
-1, j, t
Let o = -0.65 + 0.18. Let k = o - -0.54. Sort k, 0.2, -0.1 in ascending order.
-0.1, k, 0.2
Let o = -6.197 - -1.007. Let d = o + 0.19. Put 2, d, -1/8 in increasing order.
d, -1/8, 2
Suppose 3*o + 2*p + 5 = -5, o + 3 = -p. Put o, 21, -2, 3 in ascending order.
o, -2, 3, 21
Let x be 4/(-5)*10/2. Let l(i) = i**2 + 8*i + 7. Let n be l(-6). Put x, n, -3 in ascending order.
n, x, -3
Let h = -165 + 89. Let m = -71 - h. Put 2/11, -0.1, m, -0.5 in increasing order.
-0.5, -0.1, 2/11, m
Let k(u) = 2*u**2 + 15*u - 29. Let q be k(-9). Put -6, q, -1 in ascending order.
-6, q, -1
Let p = -225.02 + 221. Let d = -0.02 - p. Let t = 388 - 392. Put d, t, 3 in decreasing order.
d, 3, t
Let r be (-2)/3*(-60)/8. Suppose -2*n + a + 90 = 3*n, -5*a = 4*n - 72. Let h be (n/(-24))/((-3)/8). Sort r, 1, h in descending order.
r, h, 1
Suppose 0 = 28*j - 32*j + 4. Sort -1/2, -1.4, j, -5/4 in decreasing order.
j, -1/2, -5/4, -1.4
Let y = -0.02 + 0.22. Let n = 0.0354 - 1.0354. Sort 0.4, n, y, -0.1 in descending order.
0.4, y, -0.1, n
Let c(m) = 9*m - 6 - m**3 + 0*m - 8*m - m**2 + 7*m**2. Let a be c(6). Sort -5, a, 2.
-5, a, 2
Let o(g) = g - 2. Let s be o(1). Let n be 201/134*1/(6/4). Sort n, 8, s.
s, n, 8
Let d = 90932/2787201 + 1/18217. Let x = -7/17 - d. Let i = 0.02 - 3.02. Put x, 5, i in increasing order.
i, x, 5
Suppose -2*r = -r + 2*r. Let o be (7 - 2)*(-2)/2. Sort -1, o, r.
o, -1, r
Let f be (1/(-3))/((-9)/(-54)). Let j be (-68)/(-7) + f/28*-4. Sort 4, 3, j, -5.
-5, 3, 4, j
Let w = -21 + 53. Suppose -3*u + w = u. Let f = u + -11. Put f, -1, 5 in ascending order.
f, -1, 5
Let z = -255 - -380. Let r = z + -127. Sort 2, -0.05, r.
r, -0.05, 2
Suppose u - t + 9 = 0, 3*u + 4*t + 34 + 28 = 0. Let b(n) = -5*n - 41. Let z be b(-8). Put z, -3, -5, u in decreasing order.
z, -3, -5, u
Let q be (-1 + 0 - -2)*(-7 + 2). Sort q, -33, 5, 0 in descending order.
5, 0, q, -33
Suppose 0 = -2*z - 5 + 21. Let k = 25 - 10. Let l(i) = 2*i - 35. Let f be l(k). Put f, z, 0 in ascending order.
f, 0, z
Let w = -75.9 + 76. Sort 3/7, 19, w in descending order.
19, 3/7, w
Let z = -55 - -52. Put -63, z, 1 in descending order.
1, z, -63
Let k(z) = -z**2 - 15*z - 43. Let i be k(-12). Let d be -5 + 52/12 + (-13)/3. Put 3, 0, d, i in decreasing order.
3, 0, d, i
Suppose -r - 1 = -4. Put r, -157, 4/3 in descending order.
r, 4/3, -157
Suppose -56 = -6*k - 74. Sort 58, 0, -1, k in decreasing order.
58, 0, -1, k
Let h be (-14)/((-16)/20 + 1). Let j = h + 72. Suppose 7 = 3*n + 4*s, 2*n + 26 = -2*s + 7*s. Sort 3, n, j in ascending order.
n, j, 3
Let j(m) = -m**3 - 6*m**2 - 9*m. Let y be j(-4). Suppose y*v = -4 - 4. Sort 5, v, 33.
v, 5, 33
Let s be 5 + (33 - (6 + -2)). Suppose -6*d - s = 14. Put -3, 3, d in decreasing order.
3, -3, d
Let f(s) be the first derivative of s**2/2 + 2*s - 14. Let z be f(-4). Sort -1, -3/7, z in decreasing order.
-3/7, -1, z
Suppose -23*l + 20*l = -189. Let y be (-6)/(-63) - 13/l. Sort y, -4, 2/35, 0.1 in descending order.
0.1, 2/35, y, -4
Let t = -938 + 937.7. Sort 0.5, 0.2, t in increasing order.
t, 0.2, 0.5
Let q be 4/((-1)/4*-2). Let a = 106 + -106. Put a, 2, q in decreasing order.
q, 2, a
Suppose 2075*s + 63 = 2096*s. Let x be (2/3)/((-2)/3). Put -8, s, x in ascending order.
-8, x, s
Let p = 35 - 34.76. Let x = -0.24 + p. Let g be (0 + (-1)/(-2))*3. Put x, -0.5, g in descending order.
g, x, -0.5
Suppose 2*p - 42 = z, -99 = 2*z - 2*p - 17. Suppose 0 = -47*y + 50*y - 3. Let g be (z/30)/(y/3). Sort -0.2, 1/9, g.
g, -0.2, 1/9
Let w = -331 + 334. Put 1, w, -44 in descending order.
w, 1, -44
Suppose 0 = -r + 2, 2*o - o - 1 = r. Let s = -4 + 2. Sort 2, o, -6, s.
-6, s, 2, o
Let r(h) = -h - 5. Let w be r(-8). Suppose 3*l = -0*l + w. Put l, -4, 3 in increasing order.
-4, l, 3
Let j(k) = k**3 - 10*k**2 - 12*k + 15. Let p be j(11). Suppose 0 = p*z - 12, -a + 7 = -3*z + 16. Let g be -6*(1 + (-16)/12). Put a, 3, g in descending order.
3, g, a
Let m = -272 + 277. Sort 9/2, m, -4 in ascending order.
-4, 9/2, m
Let o = 708 - 712. Sort o, -290, -1 in decreasing order.
-1, o, -290
Suppose -3*p - 19 + 10 = 3*i, -2*i = -p - 6. Sort 5, -5, p.
-5, p, 5
Suppose 5*m - 3*v = 29, 3*m - 3*v = -6*v + 3. Let r be (-2 - -2)/(2 - m). Suppose l = y + 1, 3*l - 11 = 5*y - r*y. Sort 5, l, -1.
l, -1, 5
Let y = 26 - 25.995. Let u = y + -0.205. Let l = -5 - -5.4. Put -4, l, u in descending order.
l, u, -4
Suppose 0 = 27*x - 23*x + 8. Sort 5, 0, -4, x in ascending order.
-4, x, 0, 5
Let d = 583 - 578. Put -6, 13, d, -4/3 in descending order.
13, d, -4/3, -6
Let i = 122 + -120. Suppose 5*z - 6 = i*z. Put z, -7, -4 in decreasing order.
z, -4, -7
Suppose -5*q + 6 = -8*q. Let i = 323 + -318. Sort q, 4, i, -4 in increasing order.
-4, q, 4, i
Let d = 2/1207 - -1203/2414. Put -5, -1, -63, d in descending order.
d, -1, -5, -63
Let t be 1*(2/(-1))/(-53 - -55). Put -74, t, 1/2 in ascending order.
-74, t, 1/2
Let b = 9 - 9.06. Let j = -0.14 + b. Let t = 126 - 134. Put -5/2, j, t in descending order.
j, -5/2, t
Suppose 4*b + 4*b + 48 = 0. Sort b, -5, 4, -1 in decreasing order.
4, -1, -5, b
Let l be (-2)/6 - (-1)/3. Let u(a) = -a**3 - 8*a**2 + 4. Let x be u(-8). Suppose 2*o - 22 = 3*j, 4*j + j + x*o = 0. Sort j, l, 5 in decreasing order.
5, l, j
Let n(l) = -7*l + 54. Let w be n(7). Sort -3, w, -5, 4 in increasing order.
-5, -3, 4, w
Let w = -3.68 + 2.68. Put 12/11, 2/3, 0.3, w in decreasing order.
12/11, 2/3, 0.3, w
Suppose -106*p = -73*p - 132. Put 5, 0, p in ascending order.
0, p, 5
Let h = -244/1957 + 2/103. Sort -2, h, 0 in decreasing order.
0, h, -2
Let n = 96 + -100. Put 0, 4, n in increasing order.
n, 0, 4
Let t = -0.04 + 12.04. Let n = 9.2 - -2.8. Let z = t - n. Put -0.1, -5, z in increasing order.
-5, -0.1, z
Let c be 0 - -2 - (17 - 20). Sort 2, -1, c in descending order.
c, 2, -1
Let r = -25.9 - -26.1. Sort r, 4, -1.6 in decreasing order.
4, r, -1.6
Let v be ((-3)/(-5))/(4/(-10)). Let i = 11.3 - 11. Let q be 16/(-18) + 4/6. Sort q, v, i.
v, q, i
Let r = -1.1 - -0.1. Suppose -3*q + 5*y = 14, -11 = -q + 6*q + 4*y. Sort r, q, 2/3, -2/5 in ascending order.
q, r, -2/5, 2/3
Let n = -11 - -60. Let r = n - 48.6. Put 0.5, -4, 0, r in descending order.
0.5, r, 0, -4
Let r = -0.4 + -0.1. Let u = 112.8 - 109.8. Sort 0.2, r, 10, u in descending order.
10, u, 0.2, r
Let m = -43 + 45. Suppose -a + 6 = m. Sort -31, a, -5 in descending order.
a, -5, -31
Let k be 12/7 - (13 - 11) - (-8)/14. Suppose -2*u = -u + 4. Sort u, 2, k, -6 in ascending order.
-6, u, k, 2
Suppose 6*q - 5*q = -5*k + 16, 0 = -k - q. Sort -0.3, -0.081, k, 5 in descending order.
5, k, -0.081, -0.3
Let t be (10 + -9)/((-1)/(2/(-10))). Sort t, 31, 2/9, 2/5 in ascending order.
t, 2/9, 2/5, 31
Let f = -12.74 - -10.9. Let m = 10.54 + f. Let s = -9 + m. Sort s, -2/9, 4 in descending order.
4, -2/9, s
Suppose 6*r + r = -28. Suppose 3*q + 2 = 2*b - 0*q, 0 = -5*q. Sort r, b, -10 in decreasing order.
b, r, -10
Let i = -1 - 2. Suppose -5 = -6*k + 67. Suppose -2*q + 0*q = 4*b - 6, -3*b = -q - k. Put b, 7, i in ascending order.
i, b, 7
Let d be 16/(-28) - 11/(-7). Let w(n) = n**3 + 2*n**2 - 2*n + 1. Let t be w(d). Sort -6, t, -5 in decreasing order.
t, -5, -6
Suppose -3*j - 11 = -3*g - 2*j, 5*g = -4*j - 10. Let x be 2/(-6) - ((-13)/13)/9. Put g, x, -5/2 in descending order.
g, x, -5/2
Let j be -12 + 10 + (-2)/(-2). Let v(m) = -m**3 - 28*m**2 + 32*m + 74. Let l be v(-29). Sort l, -2, j in decreasing order.
j, -2, l
Let v = 103 + -121. Sort v, 3, -4, -5.
v, -5, -4, 3
Let u be 4/26 + (-1305)/(-13572). Sort u, -0.3, 14, -1.
-1, -0.3, u, 14
Suppose 54 = -12*g + 3*g. Let n be 7/((-10)/g - (-4)/(-6)). Put 4, 2, n in decreasing order.
n, 4, 2
Let x be (4/(- | {
"pile_set_name": "DM Mathematics"
} |
3*b**2. Let r(w) = 6*w. Let j(a) = a**2 + a. Let h(n) = -2*n - 18. Let k be h(-6). Let m(s) = k*j(s) + r(s). What is l(m(x))?
-108*x**4
Let v(f) = -2506 + 2506 - 4*f**2. Let s(l) = 3*l**2. Determine v(s(h)).
-36*h**4
Let u(d) = -2*d**2. Suppose 2*c = 3*c + 3. Let i be c*6/9 - -4. Let x(s) = 6*s**2 + 2*s**i - 8*s**2 - 2*s**2. Determine u(x(j)).
-8*j**4
Let c(i) = 11615*i. Let g(d) = -555*d**2. What is c(g(f))?
-6446325*f**2
Let v(z) = -11*z + 8*z + z - z. Let q(k) = 22*k**2. What is v(q(o))?
-66*o**2
Let f(h) be the second derivative of h**4/6 + 16*h**2 - 6*h. Let c(k) be the first derivative of f(k). Let z(i) = -i**2. Determine c(z(m)).
-4*m**2
Let n(s) = s. Let x(j) = 129*j + 453. What is n(x(q))?
129*q + 453
Let i(g) = 8674*g. Let o(r) = 9*r**2. Give o(i(x)).
677144484*x**2
Let x(v) = -2*v**2. Let j(u) = 5 - 12 + 5. Let k(w) = -3. Let c(p) = -5*j(p) + 3*k(p). Let i(b) = 3*b + 3. Let z(l) = -3*c(l) + i(l). Determine x(z(f)).
-18*f**2
Let y(z) = 3*z**2. Let v = 372 - 369. Let b(q) be the third derivative of 6*q**2 + 0*q**v + 0 - 1/24*q**4 + 0*q. Determine b(y(l)).
-3*l**2
Let u(i) = -8*i. Let s(b) be the third derivative of -b**5/20 - 8*b**3/3 + 3*b**2 - 85. What is u(s(q))?
24*q**2 + 128
Let x(m) = 32*m**2. Let z(u) = 4997*u**2. What is x(z(h))?
799040288*h**4
Let i(l) = -11*l. Let w(c) = c**3 - 6*c**2 - 3. Let q be w(6). Let f be (1 - -2) + q + 4. Let o(d) = -f*d + 11*d - 6*d. Give o(i(y)).
-11*y
Let a(m) = 11*m - 9*m + 2 - 2. Let l(j) be the third derivative of -j**8/20160 - 17*j**5/60 - 4*j**2. Let q(v) be the third derivative of l(v). What is q(a(w))?
-4*w**2
Let t(h) = -205*h - 206*h + 404*h. Let c(r) = -30*r**2. Determine t(c(l)).
210*l**2
Let m(x) = -184*x**2. Let v(g) be the first derivative of g**3/3 - 419. Give m(v(p)).
-184*p**4
Let p = 67 - 65. Let m(q) = 59*q**p - 29*q**2 - 32*q**2. Let d(j) = 34*j. What is d(m(u))?
-68*u**2
Let p(x) = 1911*x + 3. Let m(r) = 5*r. Calculate p(m(i)).
9555*i + 3
Let z(y) = 4*y - 5*y + 1 + 2*y. Let s(q) = 12*q + 15. Let x(n) = s(n) - 15*z(n). Let c(f) = f. Give c(x(t)).
-3*t
Let q(p) = -p. Let y(b) be the third derivative of 0*b**3 + 0*b + 0 - 12*b**2 + 5/24*b**4. Determine y(q(h)).
-5*h
Let u(w) = -1002*w**2. Let i(f) = 2650*f**2. Calculate u(i(l)).
-7036545000*l**4
Let z(x) = 6*x**2 + 9. Let k(t) = -8*t. Let j(h) = -21*h. Let q(n) = 2*j(n) - 5*k(n). Determine z(q(s)).
24*s**2 + 9
Let f(h) = 2*h**2. Let o(i) = 76*i**2 - 7*i + 7. Let q(x) = -6*x**2 + 1 + 3*x - 3 - x - 19*x**2. Let a(n) = 2*o(n) + 7*q(n). What is a(f(l))?
-92*l**4
Let c(w) be the third derivative of -w**4/12 - w**2. Let q(n) = n**2. Let s(v) = -2*v**2. Let k(l) = -5*q(l) - 3*s(l). Determine c(k(b)).
-2*b**2
Let j(w) = -2*w. Let g(l) = -5*l**2 - 55110*l. Give j(g(u)).
10*u**2 + 110220*u
Let m(y) = -8*y. Let z(j) be the second derivative of 5*j**3/2 + 517*j. Determine z(m(s)).
-120*s
Let c(b) = 808*b - 6. Let m(n) = -5*n. Give m(c(l)).
-4040*l + 30
Let j(b) = b. Let g(n) = -21175*n**2. Give j(g(c)).
-21175*c**2
Let r(z) = -3*z. Let m(l) = 167524*l**2. Calculate m(r(c)).
1507716*c**2
Let s(q) = -6*q**2. Let i(c) = -7224*c**2. Give s(i(l)).
-313117056*l**4
Let t(h) = 2*h**2. Suppose 2*a + 22 = 5*l, 3*a = -2*a + 20. Suppose 2*i - 3*y = -l, -i - 8 = 2*i - 4*y. Let f(r) = i*r + 3*r - 2*r. Determine f(t(w)).
2*w**2
Let b(t) = -5*t**2. Let h(s) = -17*s**2 - 11*s - 6. Determine h(b(x)).
-425*x**4 + 55*x**2 - 6
Let p(f) = -157*f**2. Let q(n) = -13723*n**2. What is q(p(g))?
-338258227*g**4
Let s(v) = -v**2. Let d(u) = 306361*u. Determine s(d(c)).
-93857062321*c**2
Let b(n) = -3*n**2. Let j(u) = 22 - 4*u**2 - 22 + 8*u**2. Let r(k) = -3*b(k) - 2*j(k). Let q(d) be the first derivative of 7*d**3/3 + 2. Determine q(r(i)).
7*i**4
Let j(b) = -13. Let z(p) = -21*p + 1911. Let y(h) = 588*j(h) + 4*z(h). Let r(t) = -8*t. Determine y(r(q)).
672*q
Let a(j) = 29*j. Let r(o) be the first derivative of o**4/6 - 28*o + 35. Let i(l) be the first derivative of r(l). What is i(a(t))?
1682*t**2
Let h(n) = -5*n. Let i(t) = -27*t**2 + 4*t - 12. Let j(q) = -q**2 - 2*q + 6. Let z(w) = -2*i(w) - 4*j(w). Calculate z(h(v)).
1450*v**2
Let d(l) = l**2 - 362*l. Let u(a) = 3*a**2 + 25. Give d(u(s)).
9*s**4 - 936*s**2 - 8425
Let j(s) = -2*s**2. Let g(o) = 431 + 23*o - 858 + 427 + 86*o. Determine j(g(i)).
-23762*i**2
Let j(o) = -8*o**2. Let d(q) = -2*q**2 + 17248*q. Calculate d(j(k)).
-128*k**4 - 137984*k**2
Let v(i) be the third derivative of -2*i**4/3 + 68*i**2. Let d(k) = 11*k. Calculate v(d(g)).
-176*g
Let p(v) = 12*v. Let o(f) be the third derivative of 1/12*f**4 + 0*f**3 - 13*f**2 + 0*f + 0. Give p(o(c)).
24*c
Let n(g) = -5*g**2. Let m(i) = 9*i + 2. Let k(w) = -8*w - 3. Let l(z) = -2*k(z) - 3*m(z). Give n(l(s)).
-605*s**2
Let i(y) = 6*y**2. Let l(m) = 7*m**2 - 5943*m. What is l(i(o))?
252*o**4 - 35658*o**2
Let h(o) = 5*o. Let f(b) = 6*b**2 - 78*b - 2. Determine h(f(v)).
30*v**2 - 390*v - 10
Let o(j) = -11*j**2 - 9*j + 282. Let y(a) = 4*a. Give y(o(k)).
-44*k**2 - 36*k + 1128
Let f be 3 + -1 + 4 - 4. Let w(b) = -580 + 4*b**2 + 5*b**f + 580. Let s(g) = 4*g**2. Let t(z) = -2*z**2. Let c(h) = -3*s(h) - 5*t(h). Give w(c(k)).
36*k**4
Let o(j) = 10*j**2. Suppose -5*f - 273 = -12*f. Let n(c) = -41*c + 80*c - f*c + 2*c**2. What is n(o(g))?
200*g**4
Let x(d) = -44042 + 16*d + 44042. Let k(c) = c. What is k(x(b))?
16*b
Let t = 85 + -50. Let z(m) = 35 + 9*m - m - t. Let p(v) = -3*v + 2. Let a(b) = -b + 1. Let r(s) = -6*a(s) + 3*p(s). Calculate r(z(c)).
-24*c
Let d(a) = 25*a. Let t(i) = 58013*i. What is t(d(u))?
1450325*u
Let d(s) = -6*s + 3. Let g(w) = -w + 1. Let z(p) = -d(p) + 3*g(p). Let c(m) = -25*m**2. What is c(z(j))?
-225*j**2
Suppose 0 = -r - 3*z - 12, -3*r - 4*z + 3*z = -4. Suppose -r*c - c + 268 = 0. Let u(q) = c - 67 - 10*q. Let d(v) = -v**2. What is d(u(f))?
-100*f**2
Let p(v) be the first derivative of 333*v**2/2 + 471. Let i(j) = 2*j. Give p(i(m)).
666*m
Let i(l) = -3*l**2 + 2*l**2 - 6*l**2 - 2*l**2. Let x(g) = 53*g. Give x(i(f)).
-477*f**2
Let n(p) = -3434*p - 102. Let s(l) = 264*l + 8. Let v(f) = -4*n(f) - 51*s(f). Let m(j) = 2*j**2. Give v(m(u)).
544*u**2
Let n(g) = 8*g + 5. Let j(p) = 215*p**2. Give j(n(a)).
13760*a**2 + 17200*a + 5375
Let i(u) = -u**2 - 7*u - 8. Let y be i(-5). Let w = y - 0. Let z(t) = 0*t**2 - 8*t**w + 3*t**2. Let q(b) = -2*b**2. Calculate z(q(m)).
-20*m**4
Let i(q) be the first derivative of q**2/2 + 119*q + 61. Let l(a) = -a. Calculate i(l(p)).
-p + 119
Let u(n) be the third derivative of n**4/8 - 2*n**2 - 36. Let p(m) = 10*m - 4. What is u(p(k))?
30*k - 12
Let v(i) = 7*i + 2. Let o(q) be the third derivative of 0*q + 0*q**3 + 1/24*q**4 + 0 + 26*q**2. Calculate o(v(a)).
7*a + 2
Let l(d) be the second derivative of d**3/6 - 46*d. Let k(s) = -2*s - 3*s - 5*s - 10*s + 1. What is l(k(y))?
-20*y + 1
Let z(r) = 25*r - 17*r - 2*r. Let i(p) = 6*p. What is z(i(o))?
36*o
Let c be ((-20)/7)/((-8)/28). Let h(q) = q + c*q**2 - 14*q + 13*q. Let x(y) = -y**2. Determine h(x(t)).
10*t**4
Let g(s) = -3*s**2. Let h(t) be the first derivative of -t**3 - 12 + 4*t**3 - 5*t**3. Calculate g(h(c)).
-108*c**4
Let i(s) = 195*s**2. Let o(y) be the third derivative of y**4/8 - y**2 + 3*y. Give i(o(x)).
1755*x**2
Let y(r) = -2*r + 2*r - 2*r. Let p(u) = 11 - 11*u - 1 + 3 - 5. Let a(j) = 4*j - 3. Let h(f) = 8*a(f) + 3*p(f). Calculate y(h(g)).
2*g
Let r(z) = 21*z**2 + 18*z**2 - 70*z**2 + 28*z**2. Let h(u) = 4*u**2 + 8*u**2 - 2*u**2. What is r(h(q))?
-300*q**4
Let i be 2*(-2 - (-14)/4). Let r(n) = 5*n**2 + 4. Let m(s) = -4*s**2 - 3. Let c(h) = i*r(h) + 4*m(h). Let v(j) = 2*j - 7*j - j. Determine v(c(a)).
6*a**2
Suppose 41 = 3*q - 5*n, q + q - 3*n - 27 = 0. Suppose 2*o - 6*o = -q. Let d(c) = o*c**2 + c**2 + c**2 + 0*c**2. Let l(y) = -y. Calculate l(d(f)).
-5*f**2
Let b = 19 + -17. Let p(a) = a**2 - 2*a**2 - a**b. Let s(y) = 15*y. Give p(s(h)).
-450*h**2
Let i(g) = 1. Let j(z) = 2*z - 2. Let f(r) = 2*i(r) + j(r). Let n = 8 + -4. Let y(d) = -3*d - 4 + n - d. Give y(f(b)).
-8*b
Let a(h) = 24*h. Let j(z) = 2*z + 2620. What is j(a(x))?
48*x + 2620
Let d(p) be the second derivative of 0*p**2 - 10*p + 11/6*p**3 + 0. Let b(w) = -2*w. What is d(b(l))?
-22*l
Suppose -2*z + 33 + 3 = 0. Suppose 12 = -14*x + z*x. Let g(l) = -2*l - 1 + x - 2. Let r(a) = -a. Determine r(g(u)).
2*u
Let g(l) | {
"pile_set_name": "DM Mathematics"
} |
r -2*r**3 - 1138*r**2 + 93732*r.
-2*r*(r - 73)*(r + 642)
Suppose 2*u**5 - 3182*u**4/7 + 4044*u**3/7 + 776*u**2 - 1808*u/7 = 0. Calculate u.
-1, 0, 2/7, 2, 226
Factor h**2 + 5782*h + 8357881.
(h + 2891)**2
Determine h so that 783538321329*h**2/2 - 1770354*h + 2 = 0.
2/885177
Factor 4*i**2/3 - 195728*i.
4*i*(i - 146796)/3
Suppose -n**2/2 - 125*n - 1701/2 = 0. Calculate n.
-243, -7
Factor -2*v**2/3 + 4598*v.
-2*v*(v - 6897)/3
Solve -55*y**3 + 34970*y**2 + 6360*y = 0 for y.
-2/11, 0, 636
Factor -1764*w**2 + 617568*w - 54051904.
-4*(21*w - 3676)**2
Determine a so that -2*a**5/5 - 1422*a**4/5 - 18218*a**3/5 - 48762*a**2/5 + 68404*a/5 = 0.
-698, -7, 0, 1
Determine a so that -34*a**5/13 - 6694*a**4/13 + 48796*a**3/13 - 116216*a**2/13 + 96240*a/13 - 9792/13 = 0.
-204, 2/17, 2, 3
Find g, given that -3*g**5/8 - 1377*g**4/8 - 852*g**3 - 675*g**2/2 + 1362*g = 0.
-454, -4, -2, 0, 1
Solve 2*x**3 + 424*x**2 + 17978*x + 17556 = 0 for x.
-154, -57, -1
Determine c so that -2*c**2/5 - 3406*c/5 = 0.
-1703, 0
Factor -r**4/5 + 41*r**3/5 - 477*r**2/5 + 1159*r/5 - 722/5.
-(r - 19)**2*(r - 2)*(r - 1)/5
What is s in -s**5/5 + 63*s**4/5 - 1271*s**3/5 + 8597*s**2/5 - 13728*s/5 - 4732 = 0?
-1, 5, 7, 26
Let -45*m**4 + 265*m**3 + 4530*m**2 - 26500*m - 3000 = 0. What is m?
-10, -1/9, 6, 10
Factor -5*y**4 - 350*y**3 - 645*y**2 + 2360*y - 1360.
-5*(y - 1)**2*(y + 4)*(y + 68)
Factor 3*a**3/7 + 183*a**2/7 - 39075*a/7 + 38889/7.
3*(a - 87)*(a - 1)*(a + 149)/7
Find p such that 3*p**2 + 112020*p + 1045706700 = 0.
-18670
Let 2209*y**4 - 428123*y**3 + 20523334*y**2 + 21818748*y - 41916168 = 0. What is y?
-2, 1, 4578/47
Let -2*b**3 + 2984*b**2 - 5960*b = 0. Calculate b.
0, 2, 1490
What is k in 3*k**2 + 10683*k - 85656 = 0?
-3569, 8
Determine c, given that -c**2/2 - 5637*c/2 + 70775 = 0.
-5662, 25
What is v in -3*v**3 + 36477*v**2 - 110423592*v - 2783434800 = 0?
-25, 6092
Find p, given that 3*p**3 + 11325*p**2 + 10613976*p - 139902204 = 0.
-1894, 13
Factor -4*c**3 - 2752*c**2 - 37264*c + 323520.
-4*(c - 6)*(c + 20)*(c + 674)
Find o, given that 20*o**5 + 61900*o**4 - 433975*o**3 + 945900*o**2 - 651375*o + 139590 = 0.
-3102, 1/2, 3
Solve 2*d**3 + 233256*d**2 + 933000*d + 932992 = 0 for d.
-116624, -2
Solve 28*m**4/5 + 148*m**3/5 - 364*m**2/5 - 148*m/5 + 336/5 = 0 for m.
-7, -1, 1, 12/7
Factor -4*t**2/3 - 556*t + 194560/3.
-4*(t - 95)*(t + 512)/3
Factor -2*a**2/5 - 5740696*a/5 - 4119448820552/5.
-2*(a + 1435174)**2/5
Suppose -2*z**3/5 - 46*z**2/5 + 786*z/5 - 378 = 0. Calculate z.
-35, 3, 9
Factor 74*f**5/7 - 32*f**4/7 - 360*f**3/7.
2*f**3*(f + 2)*(37*f - 90)/7
Factor l**4/5 - 172*l**2/5 - 240*l - 2304/5.
(l - 16)*(l + 4)*(l + 6)**2/5
Factor -2*k**2/5 - 4824*k/5 + 9656/5.
-2*(k - 2)*(k + 2414)/5
What is j in -4*j**3/3 - 140*j**2/3 + 204*j - 156 = 0?
-39, 1, 3
Factor 2*o**2/9 - 9008*o - 54056.
2*(o - 40542)*(o + 6)/9
Factor -2*k**4 - 14*k**3 + 198*k**2 - 594*k + 540.
-2*(k - 3)**2*(k - 2)*(k + 15)
Let -2*g**3 - 89170*g**2 + 89172*g = 0. What is g?
-44586, 0, 1
Let -14*w**3/5 - 15368*w**2/5 + 19778*w/5 - 4396/5 = 0. Calculate w.
-1099, 2/7, 1
Suppose -4*s**2 + 1344*s + 6820 = 0. Calculate s.
-5, 341
Determine q so that q**3/7 - 93*q**2 + 7058*q/7 - 11520/7 = 0.
2, 9, 640
Factor 30098*v**2/3 - 270886*v/3 + 12.
2*(v - 9)*(15049*v - 2)/3
Find j, given that -2*j**4/11 + 6200*j**3/11 - 5058344*j**2/11 + 392683200*j/11 - 8022897792/11 = 0.
42, 1508
Suppose 5*z**3/3 - 2*z**2 - 2423*z/3 - 644 = 0. Calculate z.
-21, -4/5, 23
Let -5*k**4 + 510*k**3 - 11865*k**2 - 62540*k + 168540 = 0. Calculate k.
-6, 2, 53
Determine p so that -p**4/3 + 62*p**3 - 2883*p**2 = 0.
0, 93
Factor -k**2 - 874*k + 875.
-(k - 1)*(k + 875)
Factor m**2/5 + 12826*m + 64129/5.
(m + 1)*(m + 64129)/5
Determine v, given that -4*v**4/11 - 6522*v**3/11 + 890*v**2 - 3264*v/11 = 0.
-1632, 0, 1/2, 1
Factor 3*k**2/2 + 3582*k - 7167/2.
3*(k - 1)*(k + 2389)/2
Solve -2*v**3/5 + 3042*v**2/5 + 1218*v + 3046/5 = 0.
-1, 1523
Factor -4*c**2/7 - 71992*c/7 - 323928004/7.
-4*(c + 8999)**2/7
Factor i**2 + 152*i - 624.
(i - 4)*(i + 156)
Factor v**5/4 + 67*v**4 - 831*v**3 + 2520*v**2.
v**2*(v - 6)**2*(v + 280)/4
Solve -21*z**3/5 - 484*z**2/5 - 1509*z/5 + 2014/5 = 0 for z.
-19, -106/21, 1
Suppose -3*z**5/8 + 1365*z**4/8 - 30093*z**3/4 + 319323*z**2/4 + 1463325*z/8 + 763125/8 = 0. Calculate z.
-1, 25, 407
Let -2*o**2/7 - 391588*o/7 - 19167645218/7 = 0. What is o?
-97897
What is c in 50*c**4 - 80*c**3 - 188*c**2 - 64*c - 6 = 0?
-1, -1/5, 3
Factor 3*q**2 + 120*q - 9963.
3*(q - 41)*(q + 81)
Suppose 2*y**3 - 208*y**2 + 902*y + 44232 = 0. What is y?
-12, 19, 97
Factor 3*j**3 - 1410*j**2 - 21747*j - 37830.
3*(j - 485)*(j + 2)*(j + 13)
Find s, given that 24*s**4 + 654*s**3 + 3628*s**2/3 - 3454*s + 4700/3 = 0.
-25, -47/12, 2/3, 1
Factor -2*p**2/7 - 21118*p/7 + 21120/7.
-2*(p - 1)*(p + 10560)/7
Determine o, given that -477*o**5/4 + 25131*o**4/2 + 82851*o**3/4 + 7707*o**2 - 321*o = 0.
-1, -2/3, 0, 2/53, 107
Determine a so that -5*a**4/7 + 19398*a**3/7 + 46575*a**2/7 + 34936*a/7 + 7764/7 = 0.
-1, -2/5, 3882
Factor -2*q**2 + 9902*q + 79344.
-2*(q - 4959)*(q + 8)
Determine d so that -d**2 - 84*d + 540 = 0.
-90, 6
Suppose -t**3/4 - 649*t**2 - 2595*t/4 = 0. What is t?
-2595, -1, 0
Factor 2*r**3/5 - 19874*r**2 + 1233454534*r/5 + 20997454834/5.
2*(r - 24851)**2*(r + 17)/5
Factor 92*y**3 + 636*y**2 + 504*y.
4*y*(y + 6)*(23*y + 21)
Find r, given that r**5/2 + 38*r**4 + 198*r**3 - 827*r**2 + 1811*r/2 - 315 = 0.
-70, -9, 1
Find j, given that -j**3/5 - 133*j**2/5 - 3332*j/5 - 640 = 0.
-100, -32, -1
Factor 3*l**2 + 1017*l - 361956.
3*(l - 217)*(l + 556)
Determine a, given that 4*a**5 - 1115*a**4 + 12429*a**3 + 31957*a**2 + 22147*a + 3738 = 0.
-1, -1/4, 14, 267
Find s, given that -3*s**4/7 + 1053*s**3 + 14754*s**2/7 = 0.
-2, 0, 2459
Determine c, given that -4*c**5 + 348*c**4 - 5896*c**3 + 23760*c**2 - 35104*c + 16896 = 0.
1, 2, 16, 66
Factor p**3 + 48*p**2 - 619*p - 2262.
(p - 13)*(p + 3)*(p + 58)
Find o, given that 2*o**4/11 - 7454*o**3/11 + 7768830*o**2/11 - 1486928906*o/11 + 1479167528/11 = 0.
1, 244, 1741
Suppose 4*i**2 - 34100*i + 68184 = 0. What is i?
2, 8523
Solve -80*o**4 + 1080*o**3 - 4485*o**2 + 5290*o = 0.
0, 2, 23/4
Factor -i**3/2 - 688569*i**2 - 474127267761*i/2.
-i*(i + 688569)**2/2
Find u, given that -u**3/9 - 6067*u**2/9 - 274321*u/3 - 3136441 = 0.
-5929, -69
Find g such that 2*g**4/3 - 1134*g**3 + 106814*g**2/3 + 1134*g - 106816/3 = 0.
-1, 1, 32, 1669
Let 6*y**5/5 - 12092*y**4/5 + 24896*y**3 - 68180*y**2 + 20050*y = 0. What is y?
0, 1/3, 5, 2005
Solve -l**4 + 22379*l**3/2 - 62619237*l**2/2 + 46944848*l - 15646418 = 0 for l.
1/2, 1, 5594
Factor 5*z**4/3 - 91115*z**3/3 - 182245*z**2/3 - 30375*z.
5*z*(z - 18225)*(z + 1)**2/3
Factor 3*o**4 + 174*o**3 + 468*o**2 - 1470*o + 825.
3*(o - 1)**2*(o + 5)*(o + 55)
Let -16*j**3 + 4572*j**2 + 10360*j + 2304 = 0. What is j?
-2, -1/4, 288
Factor -z**3/3 + 38068*z**2/3 - 362331221*z/3 + 724510178/3.
-(z - 19033)**2*(z - 2)/3
Factor -4*r**4 - 180*r**3 + 1848*r**2 - 5104*r + 4320.
-4*(r - 5)*(r - 2)**2*(r + 54)
Determine y, given that y**4 - 79*y**3 + 849*y**2 - 3065*y + 3350 = 0.
2, 5, 67
Let -4*z**2 + 4828*z + 29112 = 0. Calculate z.
-6, 1213
Factor -2*q**4/13 + 5946*q**3/13 - 5880546*q**2/13 + 147907350*q + 11749759884/13.
-2*(q - 993)**3*(q + 6)/13
Let -2*r**3 + 256102*r**2 - 512198*r + 256098 = 0. Calculate r.
1, 128049
Factor 3*q**2 - 2322*q + 2319.
3*(q - 773)*(q - 1)
Factor 4*z**5 + 27124*z**4 + 27120*z**3.
4*z**3*(z + 1)*(z + 6780)
Let 2*o**3/19 + 1098*o**2/19 + 7608*o/19 + 10840/19 = 0. Calculate o.
-542, -5, -2
What is q in 20*q**5 + 450*q**4 - 385*q**3 - 102765*q**2/2 - 206635*q + 515865/2 = 0?
-17, -17/2, 1, 21/2
Solve -3*j**3 - 297*j**2 + 1560*j = 0.
-104, 0, 5
Determine b, given that -3*b**3 + 31731*b**2 - 95166*b = 0.
0, 3, 10574
Let -4*o**3 - 22376*o**2 - 67092*o = 0. Calculate o.
-5591, -3, 0
Factor r**4/3 - 55*r**3/3 - 57*r**2 - 173*r/3 - 58/3.
(r - 58)*(r + 1)**3/3
Find b, given that 54*b**5 + 237*b**4 + 162*b**3 - 21*b**2 = 0.
-7/2, -1, 0, 1/9
Factor 2*t**3/3 + 49780*t**2/3 + 309855586*t/3 + 1238625992/3.
2*(t + 4)*(t + 12443)**2/3
What is j in -35*j**4 + 280620*j**3 + 80180*j**2 = 0?
-2/7, 0, 8018
Find r, given that -4*r**2 - 68148*r = 0.
-17037, 0
Factor -3*i**2/7 - 7929*i/7 - 23760/7.
-3*(i + 3)*(i + 26 | {
"pile_set_name": "DM Mathematics"
} |
218, 307, 418, 557, 730, 943?
1202
What is the next term in -3288, -6576, -9864, -13152, -16440?
-19728
What is the next term in -27, -64, -103, -144, -187?
-232
What comes next: 43, 114, 193, 280, 375?
478
What is next in 449, 451, 453?
455
What comes next: -347, -320, -293, -266?
-239
What is next in 5801, 5802, 5803, 5804?
5805
What is the next term in -4, -77, -272, -649, -1268, -2189?
-3472
What is the next term in 4, 15, 22, 19, 0?
-41
What is next in -2910, -2911, -2914, -2919?
-2926
What is next in 44, 177, 398, 707, 1104?
1589
What comes next: -138, -266, -394, -522, -650?
-778
What is next in 329, 323, 315, 305, 293, 279, 263?
245
What is next in -141, -145, -151, -159, -169, -181?
-195
What is next in -106, -227, -348?
-469
What is the next term in 16, 24, 52, 112, 216, 376, 604, 912?
1312
What comes next: -6, -70, -192, -378, -634, -966, -1380, -1882?
-2478
What is next in 40, 37, 32, 25?
16
What is next in -2356, -2357, -2358, -2359, -2360?
-2361
What comes next: -19, -69, -153, -277, -447, -669, -949, -1293?
-1707
What comes next: -279, -593, -895, -1179, -1439, -1669, -1863?
-2015
What is the next term in -126, -128, -132, -138, -146, -156, -168?
-182
What comes next: -390, -773, -1154, -1533, -1910?
-2285
What is the next term in 68, 189, 362, 587, 864?
1193
What comes next: 95, 99, 115, 149, 207, 295, 419, 585?
799
What is the next term in 23, 76, 161, 278, 427, 608, 821?
1066
What comes next: -273, -275, -277, -279, -281, -283?
-285
What comes next: 1, -25, -91, -215, -415, -709, -1115, -1651?
-2335
What comes next: -59, -237, -533, -947, -1479, -2129?
-2897
What is the next term in -56, -239, -544, -971, -1520?
-2191
What is the next term in -12, -16, -16, -12, -4, 8?
24
What comes next: -63, -83, -103?
-123
What is the next term in 124, 207, 304, 421, 564, 739, 952, 1209?
1516
What is next in -92, -180, -254, -308, -336?
-332
What comes next: -1224, -1228, -1234, -1242, -1252, -1264, -1278?
-1294
What is next in -222, -201, -144, -33, 150, 423, 804?
1311
What comes next: 23, 45, 67, 89?
111
What is next in 118, 117, 116?
115
What is next in 605, 599, 589, 575, 557?
535
What comes next: 14, 14, 22, 44, 86, 154, 254, 392?
574
What comes next: 150, 251, 354, 459, 566, 675, 786?
899
What is next in -85, -161, -369, -775, -1445?
-2445
What is the next term in -23, -95, -217, -389?
-611
What is the next term in -245, -458, -673, -890, -1109, -1330?
-1553
What is next in -75, -48, -9, 48, 129, 240, 387, 576?
813
What is next in 135, 128, 117, 102, 83, 60, 33?
2
What comes next: 26, -7, -44, -85, -130?
-179
What is the next term in 37070, 37071, 37072?
37073
What is the next term in -15702, -31403, -47102, -62799, -78494, -94187, -109878?
-125567
What comes next: -3213, -6425, -9637?
-12849
What comes next: 304, 303, 302, 301, 300, 299?
298
What is next in -539, -531, -513, -479, -423, -339, -221?
-63
What is the next term in -69, -80, -95, -114?
-137
What is next in -407, -396, -397, -416, -459, -532, -641, -792?
-991
What comes next: 28, 3, -48, -131, -252?
-417
What is the next term in -35, -72, -109?
-146
What is next in -1440, -1434, -1426, -1416, -1404?
-1390
What is next in -248, -240, -230, -218, -204, -188?
-170
What comes next: 3, 2, -9, -36, -85, -162, -273?
-424
What is next in 30, 56, 82?
108
What is next in 58, 49, 38, 25, 10, -7?
-26
What comes next: 9, -13, -57, -129, -235?
-381
What comes next: 18, 70, 140, 228?
334
What comes next: 109, 110, 113, 118, 125?
134
What is next in 30, 19, 0, -27, -62, -105?
-156
What is the next term in 3629, 7256, 10883, 14510?
18137
What is next in -175, -187, -215, -265, -343?
-455
What is the next term in -360, -728, -1112, -1518, -1952?
-2420
What comes next: 12, 20, 40, 78, 140?
232
What is the next term in 13, 1, -11, -23, -35, -47?
-59
What is next in 98, 389, 878, 1565, 2450, 3533?
4814
What is the next term in 1403, 1390, 1373, 1352, 1327?
1298
What comes next: 127, 123, 115, 103, 87, 67?
43
What comes next: 471, 473, 475, 477?
479
What is the next term in -3939, -3934, -3919, -3888, -3835, -3754?
-3639
What comes next: 31, 30, 29, 28, 27, 26?
25
What is the next term in 46, 51, 70, 109, 174, 271?
406
What comes next: -7, -11, -17, -25?
-35
What is the next term in -24, -38, -64, -108, -176, -274, -408, -584?
-808
What is next in 229, 227, 225, 223, 221?
219
What comes next: 10583, 21168, 31755, 42344, 52935?
63528
What comes next: -14, -25, -26, -11, 26, 91, 190, 329?
514
What is next in 33154, 33152, 33148, 33142, 33134, 33124?
33112
What is next in 230, 235, 244, 257, 274?
295
What comes next: -53, -228, -535, -986, -1593, -2368?
-3323
What is next in 14, 63, 150, 275, 438, 639, 878?
1155
What is next in -42, -76, -88, -72, -22, 68, 204?
392
What is next in 324, 318, 308, 294, 276, 254?
228
What is the next term in -19, -31, -37, -31, -7, 41?
119
What comes next: 82, 139, 188, 235, 286, 347?
424
What is next in 7140, 7143, 7146, 7149?
7152
What comes next: -7477, -7473, -7467, -7459, -7449, -7437?
-7423
What is the next term in 1381, 1381, 1389, 1411, 1453, 1521, 1621?
1759
What is next in 26, 25, 22, 17, 10, 1, -10?
-23
What is next in -184, -381, -580, -781, -984, -1189, -1396?
-1605
What comes next: -42, -170, -380, -672, -1046, -1502?
-2040
What is next in 603, 1205, 1807, 2409, 3011, 3613?
4215
What is next in 11, 21, 47, 95, 171, 281?
431
What is the next term in -4, -41, -102, -187, -296, -429?
-586
What is next in -417, -401, -385, -369?
-353
What is the next term in 482, 486, 494, 506, 522, 542?
566
What comes next: 1474, 1476, 1476, 1474, 1470, 1464?
1456
What comes next: 28, 68, 118, 184, 272?
388
What comes next: 1, 2, -1, -8, -19?
-34
What is next in 36895, 36894, 36893, 36892?
36891
What comes next: -228, -861, -1916, -3393, -5292, -7613?
-10356
What is the next term in -534, -1041, -1548, -2055, -2562?
-3069
What is next in 210, 208, 204, 198?
190
What comes next: -608, -607, -594, -563, -508, -423, -302, -139?
72
What comes next: -12, -14, -16?
-18
What is next in -18, -89, -272, -621, -1190, -2033?
-3204
What is next in 1012, 2022, 3032, 4042, 5052?
6062
What is next in 931, 976, 1023, 1072, 1123?
1176
What comes next: -10, -14, -20, -28?
-38
What comes next: -24, -31, -42, -57?
-76
What is next in -76, -81, -96, -127, -180, -261, -376?
-531
What is next in 30, 128, 294, 528?
830
What is the next term in 8, 62, 140, 236, 344, 458, 572?
680
What is the next term in -106, -144, -184, -226, -270?
-316
What is the next term in -14641, -14643, -14645, -14647?
-14649
What is the next term in -12, -23, -46, -87, -152, -247, -378, -551?
-772
What is next in -55537, -55536, -55535, -55534?
-55533
What comes next: -21, -62, -163, -354, -665?
-1126
What is next in -17, -64, -133, -224?
-337
What is next in -106, -216, -326, -436, -546?
-656
What is next in -30, -60, -90?
-120
What comes next: -55, -57, -53, -37, -3, 55, 143?
267
What comes next: 4, -1, -4, -5, -4, -1, 4?
11
What is next in 120, 746, 1790, 3252, 5132?
7430
What is next in -24, -102, -218, -360, -516?
-674
What is the next term in -466, -462, -456, -448, -438?
-426
What is the next term in -33, -64, -97, -132, -169, -208, -249?
-292
What is next in 2635, 2633, 2629, 2623, 2615, 2605?
2593
What is the next term in 739, 2952, 6641, 11806, 18447?
26564
What comes next: -47, -115, -197, -299, -427, -587?
-785
What is the next term in 59, 49, 37, 23, 7, -11, -31?
-53
What is next in -12, -34, -52, -60, -52, -22, 36, 128?
260
What comes next: 508, 512, 516?
520
What is next in -2, -34, -88, -164, -262, -382?
-524
What comes next: -182, -376, -584, -812, -1066, -1352, -1676?
-2044
What is the next term in -395, -399, -399, -395, -387, -375?
-359
What is the next term in -2705, -5409, -8113, -10817?
-13521
What is the next term in 4355, 4354, 4353, 4352, 4351?
4350
What is next in -8, -36, -80, -140, -216, -308?
-416
What comes next: 425, 839, 1251, 1655, 2045, 2415, 2759?
3071
What comes next: 9, 32, 55, 78, 101?
124
What is next in 38, 18, -18, -70?
-138
What comes next: -34, 28, 232, 650, 1354?
2416
What is next in -28, -95, -268, -601, -1148, -1963, -3100, -4613?
-6556
What comes next: -680, -1371, -2080, -2813, -3576?
-4375
What is the next term in 70, 115, 158, 199, 238, 275, 310?
343
What comes ne | {
"pile_set_name": "DM Mathematics"
} |
ivided by 431.
426
Calculate the remainder when 139902637 is divided by 8.
5
Calculate the remainder when 47246 is divided by 2575.
896
What is the remainder when 119545 is divided by 1555?
1365
What is the remainder when 1678680 is divided by 139?
116
Calculate the remainder when 17757546 is divided by 28412.
46
What is the remainder when 3506337 is divided by 131?
122
What is the remainder when 3758446 is divided by 77?
76
What is the remainder when 474686 is divided by 161?
58
What is the remainder when 9952411 is divided by 30?
1
What is the remainder when 178858 is divided by 3042?
2422
What is the remainder when 1494058 is divided by 286?
280
Calculate the remainder when 10007330 is divided by 43700.
30
What is the remainder when 1426768 is divided by 1447?
26
What is the remainder when 44749007 is divided by 382470?
17
What is the remainder when 480601 is divided by 2063?
1985
What is the remainder when 25197434 is divided by 20?
14
What is the remainder when 16869776 is divided by 596?
592
What is the remainder when 4388 is divided by 70?
48
What is the remainder when 282630778 is divided by 180?
178
Calculate the remainder when 8902982 is divided by 4139.
4132
Calculate the remainder when 39285850 is divided by 130.
110
What is the remainder when 1570325 is divided by 154?
141
Calculate the remainder when 65528 is divided by 1488.
56
What is the remainder when 9914441 is divided by 77?
75
Calculate the remainder when 3897697 is divided by 2900.
97
What is the remainder when 10449928 is divided by 15?
13
What is the remainder when 34017 is divided by 321?
312
Calculate the remainder when 1156656 is divided by 214.
200
Calculate the remainder when 2324477 is divided by 4712.
1461
Calculate the remainder when 27945 is divided by 179.
21
Calculate the remainder when 71624055 is divided by 315.
300
What is the remainder when 927948 is divided by 7524?
2496
What is the remainder when 457811 is divided by 22312?
11571
What is the remainder when 4315226 is divided by 3614?
110
What is the remainder when 446190417 is divided by 390?
387
Calculate the remainder when 34728987 is divided by 186.
183
Calculate the remainder when 1906426 is divided by 12795.
12766
What is the remainder when 9663299 is divided by 270?
269
What is the remainder when 2181064885 is divided by 2002?
2001
What is the remainder when 2530220 is divided by 9234?
104
What is the remainder when 555012 is divided by 138746?
28
What is the remainder when 175394600 is divided by 17?
7
What is the remainder when 28262238 is divided by 73?
69
What is the remainder when 24776253 is divided by 4013?
4004
Calculate the remainder when 5666112 is divided by 131.
100
Calculate the remainder when 1935654 is divided by 19552.
6
What is the remainder when 213601289 is divided by 71200428?
5
Calculate the remainder when 21344538 is divided by 38.
14
What is the remainder when 17798286 is divided by 2413?
2411
Calculate the remainder when 8290201 is divided by 7.
3
What is the remainder when 1290101 is divided by 392?
29
Calculate the remainder when 167932062 is divided by 4267.
10
Calculate the remainder when 1336872276 is divided by 7869.
7866
Calculate the remainder when 417037 is divided by 34749.
49
Calculate the remainder when 4317777 is divided by 3244.
13
Calculate the remainder when 6022 is divided by 120.
22
Calculate the remainder when 419133 is divided by 83.
66
What is the remainder when 30742991 is divided by 9?
8
Calculate the remainder when 1439246 is divided by 932.
238
What is the remainder when 155049 is divided by 88?
81
Calculate the remainder when 32076 is divided by 495.
396
Calculate the remainder when 74843224 is divided by 1747.
1744
What is the remainder when 465352 is divided by 8945?
212
What is the remainder when 4489966 is divided by 483?
481
What is the remainder when 2215 is divided by 1572?
643
Calculate the remainder when 704363 is divided by 3338.
45
Calculate the remainder when 972508 is divided by 12.
4
What is the remainder when 1709581 is divided by 1008?
13
Calculate the remainder when 85155856 is divided by 1413.
1411
Calculate the remainder when 337191 is divided by 67047.
1956
Calculate the remainder when 2333823 is divided by 14771.
5
What is the remainder when 55514 is divided by 24?
2
Calculate the remainder when 62566 is divided by 15344.
1190
Calculate the remainder when 7165924 is divided by 387.
232
Calculate the remainder when 75417070 is divided by 43418.
4
Calculate the remainder when 1601735 is divided by 533618.
881
Calculate the remainder when 927705 is divided by 1391.
1299
Calculate the remainder when 10154722 is divided by 7.
4
What is the remainder when 384270 is divided by 384214?
56
Calculate the remainder when 27310 is divided by 9103.
1
Calculate the remainder when 28006 is divided by 8989.
1039
What is the remainder when 45556693 is divided by 159?
13
What is the remainder when 111471958 is divided by 15?
13
What is the remainder when 43402 is divided by 2881?
187
What is the remainder when 231608 is divided by 3676?
20
Calculate the remainder when 5315471 is divided by 947.
907
What is the remainder when 164340937 is divided by 9662?
9641
Calculate the remainder when 4862534 is divided by 275.
259
Calculate the remainder when 534080 is divided by 534058.
22
Calculate the remainder when 225235 is divided by 834.
55
What is the remainder when 933912 is divided by 133393?
161
Calculate the remainder when 53101675 is divided by 62.
39
Calculate the remainder when 1856307 is divided by 4937.
4932
Calculate the remainder when 710993 is divided by 71.
70
What is the remainder when 3602932 is divided by 2456?
2436
What is the remainder when 112972216 is divided by 8817?
8812
Calculate the remainder when 76102907 is divided by 13.
10
Calculate the remainder when 197415469 is divided by 790.
789
What is the remainder when 4914117 is divided by 14?
5
Calculate the remainder when 72979097 is divided by 44.
37
Calculate the remainder when 21990218 is divided by 490.
488
What is the remainder when 8066461 is divided by 23381?
16
What is the remainder when 1128806 is divided by 80628?
14
What is the remainder when 34578223 is divided by 2388?
2371
Calculate the remainder when 155920155 is divided by 77960069.
17
Calculate the remainder when 13476200 is divided by 37643.
6
What is the remainder when 1016315 is divided by 4?
3
Calculate the remainder when 20319 is divided by 5038.
167
Calculate the remainder when 54106 is divided by 272.
250
What is the remainder when 1019080762 is divided by 4374?
4372
What is the remainder when 93364 is divided by 146?
70
Calculate the remainder when 18250190 is divided by 101.
96
What is the remainder when 416702 is divided by 136?
134
Calculate the remainder when 256806 is divided by 28534.
0
Calculate the remainder when 772749 is divided by 171.
0
What is the remainder when 2263599 is divided by 150905?
24
Calculate the remainder when 204626 is divided by 2156.
1962
What is the remainder when 472383 is divided by 236176?
31
What is the remainder when 10047714 is divided by 411?
408
What is the remainder when 953661 is divided by 3506?
29
Calculate the remainder when 13968 is divided by 13152.
816
What is the remainder when 40569937 is divided by 178?
177
What is the remainder when 168711 is divided by 699?
252
What is the remainder when 249361134 is divided by 21?
15
What is the remainder when 7248685 is divided by 492?
49
What is the remainder when 4501275 is divided by 112?
107
What is the remainder when 233646 is divided by 70?
56
What is the remainder when 5661789 is divided by 23?
17
Calculate the remainder when 535240117 is divided by 23.
10
What is the remainder when 4775 is divided by 4098?
677
Calculate the remainder when 250388 is divided by 4909.
29
Calculate the remainder when 5123080 is divided by 1707693.
1
What is the remainder when 108269 is divided by 21647?
34
What is the remainder when 13031 is divided by 678?
149
What is the remainder when 6581177 is divided by 3290584?
9
Calculate the remainder when 4410877 is divided by 1552.
93
Calculate the remainder when 3604352 is divided by 19804.
24
What is the remainder when 42375666 is divided by 55?
36
What is the remainder when 117179 | {
"pile_set_name": "DM Mathematics"
} |
0039
Let h = -2647 + 2646.999970964. Round h to 5 dps.
-0.00003
Let h = -358249409386 + 505084650220. Let q = h - 146835240171.999999587. Let m = -662 + q. What is m rounded to 7 decimal places?
0.0000004
Let x = 524 - 282. Let s = x - 155. Suppose 68 = s*f - 89*f. What is f rounded to the nearest ten?
-30
Let g = 13.509999854 + -13.51. What is g rounded to 7 decimal places?
-0.0000001
Let m = -72 + 0. Let d = 72.0000227 + m. Round d to 6 dps.
0.000023
Let x = -3918.45 + 20667.55. Round x to the nearest 100.
16700
Let l(p) = -5*p + 102. Let q be l(19). Suppose q*d - 2220 - 16890 = 0. Round d to the nearest one hundred.
2700
Suppose o + 2*j - 1358382 = 185630, 5 = 5*j. Suppose 4*w + 5*p + 1543992 = 9*p, -o = 4*w + 5*p. Round w to the nearest ten thousand.
-390000
Suppose 25 = 4*o + 9. Let v = 14 + o. Suppose 17*s - 11100000 = v*s. Round s to the nearest 1000000.
-11000000
Let r = 380.51 - 393. Let a = 2.19 + r. Let k = -4.1 - a. Round k to the nearest 10.
10
Let t = 2753.98277 + -2754. What is t rounded to two dps?
-0.02
Let y = -323241805.39999716 + 323241813. Let v = -7.6 + y. Round v to seven decimal places.
0.0000028
Let k = 32602 + -9799. Let x = k + -22852.012. Let o = x - -49. What is o rounded to 2 dps?
-0.01
Let b = 501 + -656. Let f = 155.000000442 + b. What is f rounded to seven decimal places?
0.0000004
Suppose 0 = -5*p + 11 + 9. Suppose -v + 2102 = -p*q, 2*v + 5*q - 8*q = 4214. Suppose 760 = -7*t - v. What is t rounded to the nearest one hundred?
-400
Let h = -1282.8 + 1030.88. Let g = h - -260. What is g rounded to the nearest integer?
8
Let n = -2.44807 + 2.7242. What is n rounded to 2 decimal places?
0.28
Let h = -99108710 - -143948710. Round h to the nearest one million.
45000000
Let g = 303 - 496. Let v = 192.9974 + g. What is v rounded to 4 dps?
-0.0026
Let l = -625203.0457 - -625273. Let x = -70 + l. What is x rounded to two decimal places?
-0.05
Let h = -2242 + 2241.9996915. What is h rounded to five decimal places?
-0.00031
Suppose 27 = 3*a + 18. Suppose -a*z - 86730000 = -10*z. Suppose 0 = -0*i - 3*i - z. Round i to the nearest one million.
-4000000
Let r(a) = a**3 + 34*a**2 + 14*a - 151. Let w be r(23). Round w to the nearest ten thousand.
30000
Let y = -29127.00069865 + 29127. What is y rounded to five dps?
-0.0007
Let o = 562 - 231. Let a = -257813.98623 + 257482.98622394. Let d = a + o. Round d to six decimal places.
-0.000006
Let o be -4 + (3 - 3) - (-537607 + 3). Round o to the nearest one hundred thousand.
500000
Let n(j) = -82182*j**2 + 14*j + 4. Let v(k) = -6*k + 29. Let h be v(7). Let o be n(h). Let w = o - -22188936. Round w to the nearest 1000000.
8000000
Let s = -1607 + 3176. Let d = -1568.999321 + s. What is d rounded to 5 decimal places?
0.00068
Let v = -15502.75 + -140.95. What is v rounded to the nearest one thousand?
-16000
Let i = 350.4 - 350.400003683. Round i to seven decimal places.
-0.0000037
Let c be (-46)/((-9)/(-5) + (-1)/(-5)). Let m(d) = 937*d + 36. Let p be m(c). Let l = p + 14535. Round l to the nearest one thousand.
-7000
Let d = 1251893 - 400643. Suppose -3*p + 2*z = -2135992, 2708766 = 5*p + 4*z - d. What is p rounded to the nearest one hundred thousand?
700000
Let x = -0.04784 - -29.04784. Let z = 1661.045509 + -1690.0455. Let i = x + z. Round i to five decimal places.
0.00001
Suppose -5*u - 2077 = -4*q + 2967, -2*u + 2504 = 2*q. Let t = q - 482. Round t to the nearest 10.
770
Let l = -0.019 + 0.39. Let n = -0.997 + l. Let t = 1.177 + n. Round t to 1 dp.
0.6
Let p = 20148 - 20148.00000050678. Round p to 7 decimal places.
-0.0000005
Let f = 5.9652 + -6.05. Let b = f + 0.07502. Round b to three dps.
-0.01
Let p = -2.591 - -2.76676. Round p to three dps.
0.176
Let v = -5.679 - -5.6756877. Round v to 4 dps.
-0.0033
Let v(o) = o**3 + 11*o**2 + 25*o + 11. Let r be v(-8). Let a be (1920/r)/(32/240). Round a to the nearest 100.
4800
Let v(m) = -5821911*m**2 + 62*m + 13. Let x be v(3). Round x to the nearest one million.
-52000000
Suppose -29031407 = 52*x + 87380993. Round x to the nearest one hundred thousand.
-2200000
Let h be (78/4)/((-30886352)/(-7721600) + -4). What is h rounded to the nearest 10000?
-3140000
Let l(w) = -17*w + 42. Let d be l(-5). Suppose 5*b - d - 473 = 0. Round b to the nearest 10.
120
Let x = 10163.78 - 10316. Let r = 136.6 + 18.4. Let m = x + r. Round m to one decimal place.
2.8
Let i(d) = 6*d - 22. Let a be i(4). Let s(t) = -2325*t**3 + t - 2. Let c be s(a). Round c to the nearest 10000.
-20000
Let p = -733 - -494. Let q = p - -248.7. What is q rounded to 0 decimal places?
10
Let q(c) = 3*c**2 + 1. Let k be q(1). Suppose 4*m = -2*p + 2579992, -5*p - 1290004 = -2*m - k*p. Round m to the nearest one hundred thousand.
600000
Let r = -17662866 + 11614866. What is r rounded to the nearest 100000?
-6000000
Suppose 0*t - 10*t = -30. Suppose -4*f - 8442 - 5938 = -5*u, u + 10766 = -t*f. What is f rounded to the nearest one hundred?
-3600
Let u be (-1 - -9)*-3*4/16. Let d be 2/u + (-276)/36. Let h be (-927995)/20 - (-2)/d. Round h to the nearest one thousand.
-46000
Let m = -627.9 - -699.69. Let q = 7.19 - m. What is q rounded to zero dps?
-65
Let x = -53396.055493 + 53396. Round x to four dps.
-0.0555
Let s = 4.292 + -4.20955. Round s to three decimal places.
0.082
Let t be 8/(-3)*18/(-12). Let c be -26*(2/(-4) + -1). Let s be (2 - (c - -3))/(t/322000). What is s rounded to the nearest 100000?
-3200000
Let s = -10027 + 10016.679. Let p = 11.63 + s. Round p to one decimal place.
1.3
Let g = 22.49 - 12.9. Let t = -22.56 + g. Let c = 13 + t. Round c to two dps.
0.03
Let z = 20885 + -20884.990501. What is z rounded to 3 decimal places?
0.009
Suppose 0 = -6*u + 5*u. Suppose u = -5*i - 5, -2*l - i = 4 - 89. Let d = -43 + l. Round d to the nearest one hundred thousand.
0
Let o = 60534.9999895561 + -60535. What is o rounded to 7 decimal places?
-0.0000104
Let s(a) = -1856606*a + 12244. Let x be s(-26). What is x rounded to the nearest 1000000?
48000000
Let y = 0.4723 + 4.3598. What is y rounded to two dps?
4.83
Suppose 5*m - 30008 = -2*f, m + f - 5996 = 2*f. Let u be m/(((-52)/(-3240))/13). What is u rounded to the nearest 100000?
4900000
Suppose 2*y = 7*y + 50. Let d(u) = -1390002*u - 22. Let a(w) = 1390002*w + 23. Let x(c) = -2*a(c) - 3*d(c). Let b be x(y). Round b to the nearest one million.
-14000000
Let g = 157 + -194. Let d = 37.00033 + g. What is d rounded to four decimal places?
0.0003
Let j = -5425.1291 + 5426. What is j rounded to 1 dp?
0.9
Let b(q) = -24199*q**3 - q**2. Let a(t) = t + 14. Let g be -2*10/15 + 35/(-3). Let m be a(g). Let l be b(m). Round l to the nearest 1000.
-24000
Let y = 2390281902 + -2439225516.65. Let s = y - -48943662.65000062. Let h = s - 48. What is h rounded to seven dps?
0.0000006
Let g = -236.3 + 19.3. Let x = g - -217.00000037. What is x rounded to seven decimal places?
0.0000004
Let n = 298.6592127 - 75.6591678. Let r = 223 - n. Round r to 6 dps.
-0.000045
Let w be 64/14 + -5 + (-1592)/(-56). Let p be (-1 - w)*(3 + -86). Round p to the nearest 100.
2400
Let k = 219 - 216. Let t be (k + 416/(-12))*-66. What is t rounded to the nearest 100?
2100
Let v be 340106 - 1 - (-4 + -8)/3. Let o = 103525 - v. Let l = -6303416 + o. Round l to the nearest one million.
-7000000
Let o = 65.4 + 0.6. Let u = -12.1717 - 53.8312. Let m = o + u. Round m to 4 dps.
-0.0029
Let z = 46 - 229. Let t = z - -333. Round t to the nearest 100.
200
Suppose -o + 2*z + 625389 = -739164, 0 = -3*o + 2*z + 4093675. Let m be (-1)/((-4)/7898250) - 15/10. Let n = m - o. Round n to the nearest 100000.
600000
Suppose 47631229 = 55*q - 74543791. Suppose 4*s = 1977034 + 505510. Suppose s = -14*c - q. What is c rounded to the nearest ten thousand?
-200000
Let h = 4875246 + -4875245.3270614. Let d = 0.673 - h. Round d to six dps.
0.000061
Let c = -1657874 - 2316301. Let r = c + 2834175. Round r to the nearest 1000000.
-1000000
Let f = 2162.9999999345 - 2163. What is f rounded to 6 decimal places?
0
Let m = 32335 - 30116.08. Let g = 2266 - m. Round g to the nearest integer.
47
Let a(s) = 422162*s - 14. Let x be a(-9). Let o be ((-1)/(-3) - 10/(-6)) + x. Let u = -699470 - o. Round u to the nearest one million.
3000000
Let b = 305.1987 + -307.42. Round b to 1 decimal place.
-2.2
Let i = 1412 | {
"pile_set_name": "DM Mathematics"
} |
1/420
Two letters picked without replacement from ufffffffufufffffffff. What is prob of sequence uu?
3/190
Two letters picked without replacement from {k: 2, p: 2}. What is prob of sequence kp?
1/3
Two letters picked without replacement from ksisisisisoso. Give prob of sequence os.
1/13
What is prob of sequence bc when two letters picked without replacement from {c: 14, b: 4}?
28/153
Two letters picked without replacement from zrxxzzxrx. What is prob of sequence zr?
1/12
Calculate prob of sequence brbb when four letters picked without replacement from {b: 5, r: 2}.
1/7
What is prob of sequence pppp when four letters picked without replacement from ppprppppppppppppppp?
15/19
Two letters picked without replacement from pttp. What is prob of sequence tt?
1/6
Four letters picked without replacement from {x: 2, l: 1, e: 6, d: 2}. Give prob of sequence exxl.
1/660
Three letters picked without replacement from {r: 3, d: 15}. What is prob of sequence drr?
5/272
Three letters picked without replacement from seeeo. Give prob of sequence ses.
0
Three letters picked without replacement from {t: 1, d: 7, y: 9, s: 2}. Give prob of sequence dss.
7/2907
Calculate prob of sequence lrbb when four letters picked without replacement from bbllrbbrr.
1/42
What is prob of sequence ruh when three letters picked without replacement from rhaunguhn?
1/126
Calculate prob of sequence qgc when three letters picked without replacement from gpcqcpckcpqqpqgp.
1/105
Three letters picked without replacement from iiibiayirbavvbv. What is prob of sequence rbi?
1/182
Calculate prob of sequence aku when three letters picked without replacement from {k: 1, j: 1, g: 1, a: 1, u: 1}.
1/60
Four letters picked without replacement from {b: 1, h: 5, x: 2, z: 1, n: 3}. Give prob of sequence znnb.
1/1980
What is prob of sequence sb when two letters picked without replacement from {b: 2, f: 5, s: 2}?
1/18
What is prob of sequence ttzi when four letters picked without replacement from ztzztitzitit?
2/99
Two letters picked without replacement from {q: 2, r: 1, m: 2}. Give prob of sequence mm.
1/10
Two letters picked without replacement from {m: 1, o: 1, s: 1, t: 1, a: 1}. Give prob of sequence ta.
1/20
Calculate prob of sequence giig when four letters picked without replacement from eeiggeiee.
1/756
What is prob of sequence pt when two letters picked without replacement from {e: 1, d: 1, t: 1, p: 2}?
1/10
Four letters picked without replacement from wkkcbwbwwbwkwwwwbb. Give prob of sequence kbkk.
1/2448
What is prob of sequence mlu when three letters picked without replacement from {b: 1, u: 8, m: 5, l: 2, t: 3}?
40/2907
Two letters picked without replacement from {l: 1, y: 1, w: 1, u: 1, n: 1, r: 2}. Give prob of sequence un.
1/42
Two letters picked without replacement from nbbbnnnn. Give prob of sequence nb.
15/56
Three letters picked without replacement from xxxxxxcrrxcrchh. What is prob of sequence xrx?
3/65
Four letters picked without replacement from {b: 8, n: 4, s: 4}. Give prob of sequence nbss.
4/455
What is prob of sequence fes when three letters picked without replacement from sfehhhs?
1/105
Two letters picked without replacement from {a: 5}. Give prob of sequence aa.
1
Four letters picked without replacement from vvvvisixisssix. What is prob of sequence isss?
4/1001
Two letters picked without replacement from {x: 3, f: 1, z: 1, w: 3, r: 3, g: 2}. Give prob of sequence xf.
1/52
Three letters picked without replacement from {r: 5, d: 5, s: 3, g: 2, i: 4}. Give prob of sequence gdr.
25/2907
Four letters picked without replacement from {m: 4, w: 5, r: 5}. What is prob of sequence rmrm?
10/1001
What is prob of sequence ssp when three letters picked without replacement from {v: 2, p: 9, s: 5}?
3/56
Two letters picked without replacement from smjjljtsssyjmsl. What is prob of sequence sl?
1/21
Two letters picked without replacement from xfcfcwfffcfwc. Give prob of sequence cc.
1/13
Four letters picked without replacement from iiiijiji. What is prob of sequence jiii?
1/7
Two letters picked without replacement from {t: 4, e: 2}. What is prob of sequence tt?
2/5
What is prob of sequence qqf when three letters picked without replacement from {q: 3, f: 2, l: 4}?
1/42
Three letters picked without replacement from nnnnonnnnnonn. What is prob of sequence noo?
1/78
Calculate prob of sequence izp when three letters picked without replacement from znzimzzknzpzkz.
1/312
Four letters picked without replacement from fpnupgegfpgfggn. What is prob of sequence fpef?
1/1820
What is prob of sequence ppt when three letters picked without replacement from {t: 2, p: 5, u: 6}?
10/429
What is prob of sequence hrxh when four letters picked without replacement from hhhhxhhhrhhhhhrr?
33/3640
Three letters picked without replacement from nttn. What is prob of sequence nnn?
0
Calculate prob of sequence bbb when three letters picked without replacement from bhehbehbehbh.
1/55
What is prob of sequence vmm when three letters picked without replacement from {m: 16, v: 3, j: 1}?
2/19
What is prob of sequence va when two letters picked without replacement from aqav?
1/6
What is prob of sequence hiii when four letters picked without replacement from iiihhhhihhhhihhihiii?
77/1615
Calculate prob of sequence uiu when three letters picked without replacement from {i: 5, u: 8}.
70/429
Four letters picked without replacement from {h: 2, w: 4}. What is prob of sequence whhw?
1/15
Two letters picked without replacement from {h: 3, f: 4, c: 1}. What is prob of sequence hh?
3/28
Calculate prob of sequence dddd when four letters picked without replacement from wddddw.
1/15
Two letters picked without replacement from ilipiipllpi. What is prob of sequence ip?
3/22
Two letters picked without replacement from xxxyxxyyyyxyxxxuxx. What is prob of sequence yy?
5/51
Calculate prob of sequence uogm when four letters picked without replacement from {q: 1, u: 2, g: 1, m: 1, o: 2}.
1/210
Calculate prob of sequence if when two letters picked without replacement from {i: 6, f: 2, o: 2, a: 2}.
1/11
Three letters picked without replacement from grjjswnrngjr. Give prob of sequence sjr.
3/440
Two letters picked without replacement from nvnnnlvvlvynnvnn. Give prob of sequence nn.
7/30
Four letters picked without replacement from {o: 8, b: 3, q: 5}. What is prob of sequence bqob?
1/182
Four letters picked without replacement from {p: 3, d: 6, m: 3, v: 1, x: 5}. Give prob of sequence dvdp.
1/816
Two letters picked without replacement from exedeeoedlleelllee. Give prob of sequence dl.
5/153
Three letters picked without replacement from gigwtwooitwoit. Give prob of sequence oow.
3/364
Two letters picked without replacement from {o: 3, h: 9}. Give prob of sequence hh.
6/11
What is prob of sequence ft when two letters picked without replacement from {f: 3, g: 5, t: 7, b: 4}?
7/114
What is prob of sequence bbib when four letters picked without replacement from {b: 5, i: 2}?
1/7
What is prob of sequence tr when two letters picked without replacement from {r: 5, k: 1, g: 6, t: 1, a: 6}?
5/342
Three letters picked without replacement from {e: 4, j: 4, k: 2, p: 1, n: 7}. Give prob of sequence nee.
7/408
Three letters picked without replacement from dbddbdddddddbddddddd. Give prob of sequence bbd.
17/1140
Two letters picked without replacement from {a: 2, k: 1, y: 1, n: 1, o: 1, u: 1}. What is prob of sequence na?
1/21
Three letters picked without replacement from ssiswwiswiisswswis. Give prob of sequence wsi.
25/612
Two letters picked without replacement from {e: 3, f: 1, r: 1}. What is prob of sequence er?
3/20
Two letters picked without replacement from {q: 10, x: 4}. What is prob of sequence qq?
45/91
What is prob of sequence xx when two letters picked without replacement from eyxeyyxeymezmxyey?
3/136
Four letters picked without replacement from {t: 3, e: 5, c: 3, b: 5, q: 2}. Give prob of sequence qtec.
1/816
Three letters picked without replacement from {b: 2, f: 6, i: 3, n: 1, m: 2, v: 1}. Give prob of sequence ibn.
1/455
Calculate prob of sequence hhh when three letters picked without replacement from {y: 2, h: 3}.
1/10
Three letters picked without replacement from {z: 1, p: 2, u: 1, t: 1}. Give prob of sequence zut.
1/60
Three letters picked without re | {
"pile_set_name": "DM Mathematics"
} |
(1 + sqrt(2) + -2)**2 + -5 - ((sqrt(450) - sqrt(50))**2 + 3 - (sqrt(200)/sqrt(16))**2)).
-12*sqrt(2) + 774
Simplify (2*(-1*sqrt(1125))/sqrt(5))/(((2*sqrt(240))/sqrt(8))/(sqrt(360)*1)).
-30*sqrt(3)
Simplify ((-2*(sqrt(286) + (sqrt(286)*-1 - sqrt(286))) - sqrt(286))/(sqrt(1331) - sqrt(1331)*-1))/(sqrt(10)/sqrt(245) + sqrt(128) + 1*sqrt(128) + sqrt(128)).
7*sqrt(13)/3718
Simplify 5*(1 + (-5*(sqrt(100) + -2*sqrt(100)) + sqrt(100) + -1*2*sqrt(100))/(sqrt(24)/(sqrt(24)/(-2*sqrt(2))))).
-50*sqrt(2) + 5
Simplify (-5*((sqrt(420) - 6*(sqrt(420)*-1 - sqrt(420)))/sqrt(7))/(sqrt(108)*-3*2))**2.
21125/324
Simplify 3 + (2 + -6*((sqrt(1300) - sqrt(1300)*-1 - sqrt(1300)) + sqrt(1300)) - 2*(sqrt(1300) + sqrt(1300) + sqrt(1300) + -1 + 4 + sqrt(1300)))**2 + -3.
1600*sqrt(13) + 520016
Simplify (-4*(-2*sqrt(325) - 4*(sqrt(13) - (sqrt(13) + 0))))**2 + (6*sqrt(117) + 0)*4.
72*sqrt(13) + 20800
Simplify (1*sqrt(77)*6 - sqrt(77) - sqrt(77))/((-2*sqrt(11) - sqrt(11))*-5) - (-2 + sqrt(343) - (sqrt(28)*4)/sqrt(4)).
-41*sqrt(7)/15 + 2
Simplify (-5*((sqrt(468) - (0 + sqrt(468) + 3 - sqrt(468)) - (-6*(-1 + sqrt(468)) - sqrt(468))) + (-4 + sqrt(468) + sqrt(468) + -1)*-4)*-1)**2.
3025
Simplify (((4*(-3*sqrt(96) + sqrt(96) + sqrt(96) - sqrt(96)) - sqrt(96)) + sqrt(96) + sqrt(96) + sqrt(96))/sqrt(4))/(sqrt(72)/(sqrt(45)/(sqrt(10)/sqrt(2)))).
-6*sqrt(3)
Simplify (-1 + (sqrt(891) - (-5*(sqrt(891) + 2) + sqrt(891)) - (2 + 2*sqrt(891))) + -4)**2*-6*-3.
2916*sqrt(11) + 144504
Simplify -3 + (3*(sqrt(1331)*1 + -1) + (sqrt(1331)*1 - sqrt(1331)) + -1 + 3*(sqrt(1331) - (0 + sqrt(1331))))**2*-3.
-35988 + 792*sqrt(11)
Simplify (-2*sqrt(80)/(sqrt(40)/(sqrt(8)*-2)))/(5*((sqrt(968) - 1*(sqrt(968) + sqrt(968)*-2)) + sqrt(968))).
4*sqrt(2)/165
Simplify ((2*sqrt(5040)*6)/(3*(sqrt(567) - (sqrt(567) - (sqrt(567) - sqrt(567)*4) - sqrt(567)) - sqrt(567))) + -2)**2.
64*sqrt(5)/9 + 1604/81
Simplify ((-6*sqrt(99)*1 - (sqrt(99) - sqrt(99)*-1)*-5)*-6)/((sqrt(81)*-1*4)/(sqrt(18)/sqrt(2)*-6 + sqrt(9))).
-30*sqrt(11)
Simplify (((-1 + sqrt(1872) + -2 - 1*sqrt(1872)*2) + (-3 + sqrt(1872) + 1)*-5)*-1*-6)**2.
-36288*sqrt(13) + 2427876
Simplify (sqrt(176)*-3*1*6 - ((sqrt(176) - (sqrt(176) - 2*sqrt(176)*-3 - sqrt(176))) + sqrt(176)*-1 + 3))**2 + 4.
288*sqrt(11) + 25357
Simplify ((-5*(1*sqrt(121) + sqrt(121)) + -3*sqrt(121)*4)/(-4*sqrt(132)/(1*sqrt(12)*-6)))**2.
11979
Simplify ((-1*(sqrt(132)*3 + sqrt(132)) - sqrt(132))*5)/(sqrt(24)/sqrt(2)*6 - (sqrt(12) + 2*sqrt(1452) + sqrt(1452) + sqrt(12))).
25*sqrt(11)/29
Simplify 2 + -1*sqrt(500) + 0 + sqrt(80) + sqrt(80)*4 + sqrt(5) + -4.
-2 + 11*sqrt(5)
Simplify (3*4*(sqrt(833) - (3 + sqrt(833)))*-4 + -5*-3*(sqrt(833) + 1 + sqrt(833))*-4)**2.
-141120*sqrt(17) + 12002256
Simplify 4 + (sqrt(468) + sqrt(468) + 2 + sqrt(468))*4 + ((sqrt(637) + 1)*-3 + -2 + -1 + sqrt(637))**2.
240*sqrt(13) + 2596
Simplify -4 + 4*(1*sqrt(1900) + sqrt(1900)) + sqrt(1900) + ((sqrt(1900) + 2)*5 - sqrt(1900))**2 + 1 + 0.
890*sqrt(19) + 30497
Simplify 0 + -3 + (4 + (sqrt(2057) - -3*(sqrt(2057) + 0)) - (2 + 0 + sqrt(2057))*-6).
13 + 110*sqrt(17)
Simplify -3 + (((sqrt(200) - sqrt(50))*-4)/(sqrt(5) + (sqrt(5) + sqrt(10)/sqrt(2))*-3))/(-1*(sqrt(45)/sqrt(3)*5)/sqrt(3)).
-3 - 4*sqrt(2)/25
Simplify (((sqrt(91) - -4*3*sqrt(91)) + ((sqrt(91) + (-3*sqrt(91) + sqrt(91) - sqrt(91)))*1 - sqrt(91) - sqrt(91)))/(3*4*(-1*sqrt(252) - sqrt(252))))**2.
13/256
Simplify (sqrt(360)/(sqrt(32)/sqrt(4)))/(sqrt(9) + sqrt(900)) + ((sqrt(125) + -1 - sqrt(125))**2 - sqrt(5) - sqrt(5)) + sqrt(5) + sqrt(405) + -2.
-1 + 89*sqrt(5)/11
Simplify 1 + (((sqrt(240) + sqrt(240)*1)/sqrt(12) - sqrt(80)*-3)/(sqrt(576)*-2*-3) + -3)*4.
-11 + 4*sqrt(5)/9
Simplify -4*(4*sqrt(152)*1 + -6*(sqrt(152) + (sqrt(152) - -2*sqrt(152))))/(sqrt(64)/(sqrt(392)*-4)).
-2240*sqrt(19)
Simplify ((sqrt(50)/((sqrt(90)/sqrt(3))/sqrt(6)))/(sqrt(60)/sqrt(3) + -1*sqrt(180)))**2*-2.
-1/4
Simplify (((sqrt(637) + 0)**2 + 2 - (1 + (sqrt(637) + -4)**2)) + 1)*-3.
-168*sqrt(13) + 42
Simplify (sqrt(135)/(-2*sqrt(9))*-6*-1)/(sqrt(1200) - ((sqrt(1200) - -5*(-1*sqrt(1200) + sqrt(1200))) + sqrt(1200) + sqrt(1200))).
3*sqrt(5)/40
Simplify (-2 + ((sqrt(425) - (sqrt(425) - sqrt(425)*3))*-4 - ((-2*sqrt(425))**2 + -2)) + -2)*6.
-10212 - 360*sqrt(17)
Simplify 0 + ((sqrt(75) - -6*(sqrt(75) - sqrt(75)*4)) + 1 + (0 + (sqrt(75) + -3)*5)**2)*2.
-1670*sqrt(3) + 4202
Simplify 5 + (3*1*sqrt(187) - (sqrt(187) - (sqrt(187) - (sqrt(187) - ((sqrt(187) - (-1*sqrt(187) - sqrt(187))*2) + sqrt(187))))))/(1*sqrt(539)*-3 - sqrt(539)).
-2*sqrt(17)/7 + 5
Simplify 0 + (1 + sqrt(208) + 1 + sqrt(208) + 2)**2 + (3 + sqrt(78)/sqrt(6) - (sqrt(468)*-3)**2).
-3361 + 65*sqrt(13)
Simplify 4*((sqrt(1225) - (sqrt(1225)*-1 + sqrt(1225) - sqrt(1225))*-6) + -4*(sqrt(1225)*-1 - sqrt(1225)))/(2*-2*sqrt(405)*2).
-7*sqrt(5)/6
Simplify -6*((4*sqrt(399))/sqrt(7))/sqrt(3) - (2*sqrt(152)*-5)/(sqrt(72)*-1).
-82*sqrt(19)/3
Simplify (-1 + 1*((sqrt(48) - (sqrt(2352) + 1*sqrt(2352)) - (sqrt(972) + 0)) + -3))**2.
560*sqrt(3) + 14716
Simplify (5*((1 + sqrt(468)*1 - 4*2*sqrt(468) - ((-1 + sqrt(468) - sqrt(468)) + -1 - (sqrt(468) + 0)*-1)) + 5))**2.
-19200*sqrt(13) + 750400
Simplify -2*(((sqrt(405) + 1)*-4 - (sqrt(405) - ((0 + 1*sqrt(405) - sqrt(405)) + sqrt(405))))*1*2*-6)**2.
-1870848 - 82944*sqrt(5)
Simplify (-1*(1 + sqrt(1216))*1 + (5*-2*sqrt(228))/(sqrt(192)*-2 + sqrt(12)) + 3)**2.
-184*sqrt(19)/7 + 40400/49
Simplify 4 + 5*(4 + (sqrt(208) - -1*(sqrt(208) + (1*sqrt(208))**2)) + -3)*2.
80*sqrt(13) + 2094
Simplify (sqrt(66) - (sqrt(66) - sqrt(66)*-1*-5) - sqrt(66)*2*6)/(1*sqrt(864)*2 - (-5*(sqrt(864) - sqrt(864)*-2) + sqrt(864) + sqrt(864))).
-7*sqrt(11)/180
Simplify (sqrt(5600)*-1*4 - (4*(sqrt(5600) + sqrt(5600)*1 - sqrt(5600)) + sqrt(5600)))/((-4*2*sqrt(48))/(sqrt(18)/sqrt(3)*-3)).
-135*sqrt(7)/4
Simplify (-5*4*(sqrt(363) + (-2*sqrt(363) - sqrt(363))*3 + 6*(sqrt(363) + sqrt(363) + 0) - (4*sqrt(363)*-1 + sqrt(363) + sqrt(363) + 0))*1)**2.
5227200
Simplify (3*(sqrt(495)*6 + sqrt(55))*4)/((sqrt(1584) + -5*3*sqrt(1584))*-3).
19*sqrt(5)/42
Simplify 1*-6*(sqrt(336) - (sqrt(336) + -5*1*sqrt(336)))/(-4*(sqrt(175)*2 + sqrt(175))).
2*sqrt(3)
Simplify ((-4 + 0 + sqrt(39)/sqrt(3) + 2)**2 + 0 - (sqrt(52)/(sqrt(24)/sqrt(96)) - (-3 + sqrt(1300) + 0))**2)*-3.
-96*sqrt(13) + 1380
Simplify 0 + (((sqrt(153) - (3 + sqrt(153) + -2)) + sqrt(153) + 2*sqrt(153)*-1)*4)**2 + -5.
96*sqrt(17) + 2459
Simplify ((-3*sqrt(120)*-1)/sqrt(2))/((-1*sqrt(132)*2)/sqrt(11)).
-3*sqrt(5)/2
Simplify (-5 + sqrt(325)*-1 + -5 - (sqrt(325)*5*2 - sqrt(325) - sqrt(325))*-3)*4.
-40 + 460*sqrt(13)
Simplify -4 + (-5 + ((sqrt(1008) + 1 + sqrt(1008))*3 - -2*sqrt(1008)*-6) + sqrt(1008)*2 + -1 + -1 + sqrt(1008) + -3 + 3)**2.
288*sqrt(7) + 9084
Simplify (-3*-2*sqrt(76)*-1 - (-6*sqrt(19)*4 - (sqrt(19) + (-4*sqrt(152) - sqrt(152) - sqrt(152))/sqrt(8))))**2.
931
Simplify (sqrt(68) + sqrt(68)*2*2 + (sqrt(68)*-3 - sqrt(68))*-6)/(5*-4*sqrt(32)/sqrt(8)).
-29*sqrt(17)/20
Simplify -3*(-1*sqrt(4000)*1 + sqrt(4000)*-1*5)/((sqrt(8) + sqrt(648)*2)*2*-4).
-45*sqrt(5)/38
Simplify ((sqrt(300) - -5*sqrt(300)*-1)/((sqrt(66)*1)/sqrt(11)))/(-5*(2*sqrt(1210) + sqrt(1210) - sqrt(1210))*-3).
-2*sqrt(5)/165
Simplify (((sqrt(55) - sqrt(110)/sqrt(2)*4) + sqrt(55) - sqrt(55) - sqrt(165)/(-2*sqrt(3)))*4)/(6*sqrt(5)*-1 + (sqrt(10) - sqrt(90)/sqrt(9))/sqrt(2)).
5*sqrt(11)/3
Simplify -1*(sqrt(120)/sqrt(2)*-5 + (sqrt(60) - (sqrt(8640) - sqrt(8640)*-2)))/(-5*5*1*sqrt(1452)).
-8*sqrt(5)/55
Simplify -1 + (-4*((sqrt(1900) - 2*sqrt(1900)) + 3) + -5 - 1*((sqrt(1900) + 1)*-6 - (sqrt(1900) + -4 + 1*sqrt(1900) + sqrt(1900))))**2.
-3900*sqrt(19) + 321324
Simplify 5 + (-2 + (3*(-1*sqrt(130) - sqrt(130)))/(sqrt(40)/(sqrt(16)/sqrt(4))) + -5)*4.
-24*sqrt(13) - 23
Simplify ((((sqrt(273) + 6*sqrt(273)*-2)/(-4*2*sqrt(7)))/((sqrt(24) + (-2*sqrt(216))/sqrt(9))/(sqrt(32)/sqrt(4)*4)) + 5)*-4)**2.
-880*sqrt(13) + 6692
Simplify 1 + 2 + (-6*(sqrt(900) - -1*(1*sqrt(900) - sqrt(900)))/(-3*(sqrt(1728) - sqrt(1728)*-1) - sqrt(1728) - sqrt(1728))*2)**2.
267/64
Simplify (-4 + -1 + (sqrt(168)/(-2*sqrt(8)))/(5*sqrt(28)/sqrt(4)))*-5*6.
3*sqrt(3) + 150
Simplify 1 + (4*sqrt(125))**2 + -2 + (-1*(sqrt(125) + -1*sqrt(125)) + -6*sqrt(125)*1)**2 + 1.
6500
Simplify ((4 + 1*sqrt(2448))**2 - (-4 + -1*sqrt(2448) + sqrt(2448))**2 - ((0 + sqrt(2448))*-6 + -3*( | {
"pile_set_name": "DM Mathematics"
} |
kkgkkggoggggkok. What is prob of sequence okk?
1/34
What is prob of sequence nxcc when four letters picked without replacement from nxcnnnnzcncnqnnlxxq?
9/5168
What is prob of sequence ic when two letters picked without replacement from {r: 2, t: 2, i: 1, c: 1}?
1/30
Four letters picked without replacement from nrnscnsrrrrssr. Give prob of sequence sncs.
3/2002
Two letters picked without replacement from {c: 4, q: 7, l: 3}. Give prob of sequence cc.
6/91
Two letters picked without replacement from {v: 1, a: 2, w: 1, d: 1}. Give prob of sequence av.
1/10
What is prob of sequence zvv when three letters picked without replacement from {v: 5, z: 2, n: 3}?
1/18
What is prob of sequence jqoq when four letters picked without replacement from {j: 1, i: 1, o: 5, q: 4}?
1/132
Calculate prob of sequence lzll when four letters picked without replacement from {l: 10, z: 10}.
20/323
Calculate prob of sequence xox when three letters picked without replacement from {x: 5, o: 9, n: 2}.
3/56
Four letters picked without replacement from {t: 5, d: 5}. What is prob of sequence ttdd?
5/63
Calculate prob of sequence bxxb when four letters picked without replacement from bdxbbxx.
3/70
Three letters picked without replacement from {p: 3, w: 1}. Give prob of sequence ppw.
1/4
Four letters picked without replacement from rdridrrirhdrridrrdd. What is prob of sequence drrr?
21/646
What is prob of sequence vvvv when four letters picked without replacement from {f: 3, v: 7, k: 4}?
5/143
Two letters picked without replacement from {v: 1, s: 2, t: 1}. What is prob of sequence ss?
1/6
Two letters picked without replacement from fvbf. What is prob of sequence fv?
1/6
Two letters picked without replacement from {o: 3, u: 3, y: 6, s: 1, b: 1, z: 4}. What is prob of sequence uu?
1/51
What is prob of sequence oonn when four letters picked without replacement from {n: 2, o: 3}?
1/10
What is prob of sequence kiy when three letters picked without replacement from {k: 1, j: 4, i: 5, y: 6}?
1/112
Two letters picked without replacement from {u: 2, z: 3}. Give prob of sequence zu.
3/10
What is prob of sequence xxx when three letters picked without replacement from {x: 12, p: 1}?
10/13
Four letters picked without replacement from fefrqsq. Give prob of sequence fqes.
1/210
Three letters picked without replacement from mfofcooobcbb. Give prob of sequence mfo.
1/165
Two letters picked without replacement from dcnhddhdn. Give prob of sequence dn.
1/9
Calculate prob of sequence jyjj when four letters picked without replacement from {j: 7, y: 2}.
5/36
What is prob of sequence vvv when three letters picked without replacement from fffffvvfffffffv?
1/455
Two letters picked without replacement from {o: 1, l: 1, e: 2}. What is prob of sequence lo?
1/12
Calculate prob of sequence ihh when three letters picked without replacement from iiiiiiiihiiihiiihh.
7/204
Three letters picked without replacement from {c: 4}. Give prob of sequence ccc.
1
Three letters picked without replacement from livllludubullllbd. Give prob of sequence uvi.
1/1360
Two letters picked without replacement from gggdgyggygdgyy. What is prob of sequence yg?
16/91
Four letters picked without replacement from tctcctccgtccgt. Give prob of sequence cttg.
5/429
What is prob of sequence cbf when three letters picked without replacement from {c: 3, f: 3, b: 2, r: 3, v: 1, x: 4}?
3/560
Four letters picked without replacement from {v: 2, z: 3}. What is prob of sequence zvvz?
1/10
Three letters picked without replacement from {q: 2, n: 4, p: 3}. What is prob of sequence qqn?
1/63
Calculate prob of sequence sfn when three letters picked without replacement from soffecnssoef.
3/440
What is prob of sequence ddkk when four letters picked without replacement from {k: 13, d: 6}?
65/1292
Two letters picked without replacement from eqvekkvskkkkv. Give prob of sequence qk.
1/26
What is prob of sequence hjbf when four letters picked without replacement from bjhfmfnn?
1/840
Calculate prob of sequence zhsf when four letters picked without replacement from {h: 2, g: 1, f: 3, a: 6, s: 2, z: 1}.
1/2730
Calculate prob of sequence ehel when four letters picked without replacement from {w: 1, j: 1, l: 2, e: 2, x: 1, h: 1}.
1/420
What is prob of sequence pp when two letters picked without replacement from {p: 7, i: 3}?
7/15
Three letters picked without replacement from {i: 2, o: 7, x: 1}. What is prob of sequence oox?
7/120
What is prob of sequence vvp when three letters picked without replacement from {v: 3, o: 1, x: 1, i: 1, p: 1}?
1/35
What is prob of sequence eve when three letters picked without replacement from {z: 3, e: 2, t: 3, l: 1, v: 9}?
1/272
Three letters picked without replacement from ccecceeeceoeeocee. What is prob of sequence ooo?
0
Calculate prob of sequence gef when three letters picked without replacement from {f: 1, e: 7, p: 2, g: 8}.
7/612
Four letters picked without replacement from ttzttjywxtwtyywjt. What is prob of sequence tywy?
3/1360
What is prob of sequence urz when three letters picked without replacement from eeeerrzzrzerzeu?
8/1365
Two letters picked without replacement from uiuffuiiiioi. Give prob of sequence oi.
1/22
What is prob of sequence ggu when three letters picked without replacement from {g: 2, p: 2, u: 3, y: 2, k: 1, v: 4}?
1/364
Calculate prob of sequence yzyf when four letters picked without replacement from {y: 3, t: 1, f: 1, c: 1, z: 1}.
1/140
Calculate prob of sequence on when two letters picked without replacement from {o: 1, n: 2, q: 7, e: 3, z: 7}.
1/190
What is prob of sequence lllj when four letters picked without replacement from {f: 6, j: 2, i: 3, l: 5, u: 1}?
1/476
Calculate prob of sequence la when two letters picked without replacement from eeelalg.
1/21
Two letters picked without replacement from {i: 3, b: 4}. What is prob of sequence ii?
1/7
What is prob of sequence mzk when three letters picked without replacement from {h: 5, z: 3, k: 2, m: 5}?
1/91
What is prob of sequence xxm when three letters picked without replacement from dxdmdxdpdmmkmdddd?
1/510
Two letters picked without replacement from {l: 1, k: 2, d: 2}. Give prob of sequence lk.
1/10
Calculate prob of sequence omhf when four letters picked without replacement from {f: 1, a: 4, o: 6, m: 2, h: 7}.
7/9690
Three letters picked without replacement from jpdp. Give prob of sequence pdj.
1/12
Calculate prob of sequence jg when two letters picked without replacement from nzpjpoggznnn.
1/66
Calculate prob of sequence yy when two letters picked without replacement from {e: 1, y: 7}.
3/4
Two letters picked without replacement from izclclcizccci. What is prob of sequence zc?
1/13
What is prob of sequence fxft when four letters picked without replacement from {a: 6, s: 2, t: 1, f: 3, x: 1}?
1/2860
What is prob of sequence pm when two letters picked without replacement from kmkkkpkmkkkmkkk?
1/70
Four letters picked without replacement from qcccqcqcqcqc. What is prob of sequence cqcq?
7/99
Calculate prob of sequence rnrr when four letters picked without replacement from {r: 11, n: 3}.
45/364
What is prob of sequence qfq when three letters picked without replacement from qqqpqftqtqqqpqqqftqp?
11/285
Calculate prob of sequence ddnb when four letters picked without replacement from {d: 5, i: 1, n: 3, b: 11}.
11/1938
Calculate prob of sequence sv when two letters picked without replacement from ssrssssssvsssss.
13/210
Four letters picked without replacement from bbbbbbbbbbmm. Give prob of sequence mmbb.
1/66
What is prob of sequence ca when two letters picked without replacement from aajqddjdjdadjjcqdyaa?
1/76
Three letters picked without replacement from axixaxauaaaaaaaxx. Give prob of sequence xia.
5/408
Four letters picked without replacement from ozzzzzoo. Give prob of sequence zooo.
1/56
Two letters picked without replacement from {l: 1, s: 2, n: 10, c: 2, p: 2, d: 1}. Give prob of sequence cc.
1/153
Three letters picked without replacement from {p: 2, u: 4}. Give prob of sequence ppu.
1/15
Four letters picked without replacement from ixxixxxxix. What is prob of sequence xiii?
1/120
Three letters picked without replacement from {e: 6, r: 6}. What is prob of sequence rer?
3/22
Calculate prob of sequence nnm when three letters picked without replaceme | {
"pile_set_name": "DM Mathematics"
} |
11391*d. Let f(u) = 3*u. Give z(f(n)).
34173*n
Let o(d) be the second derivative of -d**3/3 + 2*d. Let w = 18 + -13. Let c(m) = 0*m**2 - 4*m**2 + w*m**2. Give o(c(g)).
-2*g**2
Let w(a) = 12*a. Let p(q) = 62*q**2. Calculate p(w(n)).
8928*n**2
Let p(k) be the second derivative of k**5/15 - k**2 + k. Let s(g) be the first derivative of p(g). Let i(d) = d. What is i(s(v))?
4*v**2
Let i(t) = 2*t**2 - 2*t. Let s(y) be the first derivative of 4*y**3/3 - 5*y**2/2 - 2. Let r(n) = 5*i(n) - 2*s(n). Let q(d) = -d - d + 4*d. What is r(q(v))?
8*v**2
Let b(x) = 2*x + 3. Suppose 0 = m + 4*m. Let t(a) = m + 3*a + 4 + 0. Let r(k) = -4*b(k) + 3*t(k). Let v(j) = -3*j**2. Give r(v(y)).
-3*y**2
Let f(m) = -3*m. Let h(j) be the second derivative of -j**4/6 + 3*j**2 + 4*j. Let y(n) be the first derivative of h(n). What is y(f(k))?
12*k
Let q(a) be the second derivative of a**4/12 - 9*a. Let v(c) = -2*c + 3. Determine v(q(k)).
-2*k**2 + 3
Let t(p) = 1464*p - 1. Let f(y) = 5*y. Calculate t(f(k)).
7320*k - 1
Let d(i) be the first derivative of -i**4/12 - 2*i + 2. Let f(n) be the first derivative of d(n). Let y(z) = -4 + z + 0 + 4. Give f(y(h)).
-h**2
Let y(z) = -z. Let i(o) = 2*o. Let x(c) = 4*i(c) + 5*y(c). Let v(m) = -9*m**2. Calculate v(x(k)).
-81*k**2
Let g(k) = -2*k**2. Suppose 0*n - 5*n = 4*m - 14, -2*n - m + 5 = 0. Let w(h) = -n*h**2 - h + h. Determine g(w(f)).
-8*f**4
Let z(f) be the first derivative of 0*f - 2 + 2/3*f**3 + 0*f**2. Let v(u) = -u**2 + 2*u. Let h(x) = 3*x**2 - 5*x. Let s(w) = -2*h(w) - 5*v(w). Give s(z(r)).
-4*r**4
Let h(f) be the third derivative of 1/8*f**4 + 0 + 0*f + 0*f**3 - 2*f**2. Let n(s) = -2*s**2 + 4*s**2 + s - s. What is h(n(l))?
6*l**2
Let u be (-16)/(-10)*15/6. Suppose 5*q = -2*k + 33, -4*q + 40 = 4*k + k. Let h(i) = i - 2*i**2 - q*i + u*i. Let l(m) = -5*m. Give l(h(c)).
10*c**2
Let s(d) = d + 87 - 45 - 42. Let x(k) = -27*k**2. What is x(s(g))?
-27*g**2
Let r(s) be the third derivative of -s**4/8 + 4*s**2. Let u(g) = 9*g**2. Determine u(r(o)).
81*o**2
Let q(r) = 1464*r. Let d(p) = -4*p. Give q(d(k)).
-5856*k
Let b(n) = -n. Let x(d) = d. Let m(c) = -7*c. Let s(v) = -4*m(v) - 20*x(v). What is b(s(z))?
-8*z
Let f(z) = -z**2. Let t(u) = 2 + 9*u + 3 - 5*u. Let o(k) = 2 + k - 3*k + 4*k. Let d(l) = 5*o(l) - 2*t(l). What is d(f(s))?
-2*s**2
Let p(u) = 45*u. Let v(j) = -158 + 158 - j. Give p(v(l)).
-45*l
Let g(b) = 2*b - 21. Let h(v) = -v. Determine h(g(m)).
-2*m + 21
Let q(o) = -o. Let c(g) = -18*g + 11. Let r(w) = 9*w - 5. Let x(m) = 6*c(m) + 13*r(m). Calculate x(q(j)).
-9*j + 1
Let d(v) = 0*v**2 - 5*v**2 + 4*v**2 - v**2. Let i(t) = 4*t. Determine d(i(s)).
-32*s**2
Let d(m) = 4*m**2. Let l(r) = 59*r. Determine d(l(v)).
13924*v**2
Let a(c) = 3*c**2. Let t(v) = -v + 329. Determine t(a(s)).
-3*s**2 + 329
Let t(s) = -3*s. Let q(j) be the first derivative of 0*j + 8 + 2/3*j**3 + 0*j**2. What is t(q(b))?
-6*b**2
Let j(u) = 4*u. Let d(y) = -16*y - 14*y - 15*y + 41*y. What is d(j(r))?
-16*r
Let z(r) = -2*r**2. Let g(x) be the first derivative of -5*x**2/2 + 2*x - 50. What is z(g(s))?
-50*s**2 + 40*s - 8
Let v(b) = b + 5. Let q be v(-8). Let z be (6 + -1)*q/(-5). Let d(a) = a**2 - z*a**2 - a**2. Let t(f) = 2*f. Determine t(d(u)).
-6*u**2
Let o(n) = 12*n. Let b(p) = 3*p**2. Calculate o(b(a)).
36*a**2
Let d(j) = 4*j**2. Let c(z) = -10*z**2 - 2*z. Give c(d(o)).
-160*o**4 - 8*o**2
Let a(t) be the first derivative of -t**3 - 24. Let m(c) = 4*c. Calculate m(a(h)).
-12*h**2
Let t(y) = 4*y. Let g be (-10)/(-3) - 10/(-15). Let p(x) = -x + g*x - 4*x + 2*x. Calculate t(p(a)).
4*a
Let w(q) = q**2. Let s(a) be the first derivative of 7*a**2 - 33. Determine w(s(l)).
196*l**2
Let h(c) be the second derivative of c**4/6 + 2*c. Suppose 5*m - 10 = -0*m. Let g(p) = 4*p**2 - m*p**2 + 0*p**2. Calculate g(h(t)).
8*t**4
Let p(y) = 19 - 3*y - 19. Let r(s) = -14*s**2. What is r(p(v))?
-126*v**2
Let n(y) be the first derivative of y**2 + 2. Let d(g) = -4*g**2. What is n(d(o))?
-8*o**2
Let j(t) = -11837 + 11837 + 2*t. Let a(q) = -8*q**2. Calculate j(a(z)).
-16*z**2
Let i(a) be the second derivative of 2*a + 0*a**2 + 1/2*a**3 + 0. Let y(q) be the second derivative of -q**3/6 - 29*q. Determine y(i(x)).
-3*x
Let y(w) be the first derivative of -4*w**3/3 + 1. Let q(z) be the third derivative of -z**5/30 + 7*z**2. What is y(q(n))?
-16*n**4
Let k(u) = u**2 + 7*u + 8. Let v be k(-6). Let p(x) = -20*x**2 + 10*x**2 + 11*x**v. Let b(t) = -3*t. Calculate p(b(g)).
9*g**2
Let h(a) = -20*a + 20*a + 10*a**2 - 12*a**2. Let d(v) = -3*v**2 + 5*v - 5. Let g(s) = -s**2 + 2*s - 2. Let y(t) = 2*d(t) - 5*g(t). Give h(y(i)).
-2*i**4
Let k(c) = -3*c**2. Let d(h) = -321*h. Give d(k(q)).
963*q**2
Let r(l) = -9*l. Let z(w) be the third derivative of -w**5/60 - 19*w**2. What is r(z(u))?
9*u**2
Let a(h) = -27*h**2. Let w(t) = 167 - 2*t - 167. Give w(a(g)).
54*g**2
Let o be 9/(-6)*(-16)/6. Let d(g) = -o*g - 2*g**2 - 3*g + 7*g. Let k(w) = w**2. Determine k(d(m)).
4*m**4
Let p(s) = -2*s**2. Let k(n) = 14*n**2 - 8*n**2 - 3*n**2. Determine p(k(u)).
-18*u**4
Let l(z) = -7*z - 3*z + z + 8*z. Let u(c) = -4*c**2 - 8. Let q(k) = 1. Let f(a) = 8*q(a) + u(a). Give f(l(o)).
-4*o**2
Let p(t) = t**2. Let o(i) be the first derivative of -i**4/12 - 2*i**2 - 2. Let b(m) be the second derivative of o(m). Calculate b(p(n)).
-2*n**2
Let h(v) = -9*v**2. Let g(d) = -3*d**2 - 16. Calculate h(g(q)).
-81*q**4 - 864*q**2 - 2304
Let o(s) = 2*s. Suppose 0*y = -3*y + 165. Let v(p) = p + 6. Let g(q) = -10*q - 55. Let t(n) = y*v(n) + 6*g(n). Calculate t(o(w)).
-10*w
Let o(t) = -2*t**2. Let v(h) = h - 5. Suppose -3*m + 5 - 17 = 0, -j + 20 = -3*m. Let u(a) = -2*a + 4*a - 3*a + j. Let q(r) = 5*u(r) + 8*v(r). What is o(q(d))?
-18*d**2
Let i(l) = -21*l. Let h(o) = 45*o. What is h(i(a))?
-945*a
Let y(j) = 89*j**2. Let i(g) = -81*g. What is i(y(x))?
-7209*x**2
Let s be 2*4*20/32. Let y(o) be the third derivative of 0 + 0*o**4 + 0*o**3 - o**2 + 1/30*o**s + 0*o. Let c(d) = -4*d**2. What is y(c(j))?
32*j**4
Let x be 1/3*21/7. Let v(p) be the first derivative of 0*p - 1/3*p**3 - x + 0*p**2. Let u(d) = 3*d**2. Give v(u(b)).
-9*b**4
Let i(r) = 2114*r**2 - r. Let c(w) = -2*w**2. Determine i(c(f)).
8456*f**4 + 2*f**2
Let b(w) = 291*w**2. Let r(s) = 42*s**2. Determine r(b(c)).
3556602*c**4
Let b(a) = -3*a**2. Let y(i) = -68*i - 2. Determine b(y(x)).
-13872*x**2 - 816*x - 12
Let h(x) = 3 - 3 - 5*x. Let m(f) = -3*f**2 + 0*f**2 + 4*f**2. Calculate m(h(v)).
25*v**2
Let a(x) = -8*x**2. Let h be -4 + 2 - 2/2. Let y(u) = -2*u**2 - 3*u - 3. Let p(i) = 5*i**2 + 8*i + 8. Let o(c) = h*p(c) - 8*y(c). What is a(o(l))?
-8*l**4
Let b(c) = -8*c**2. Let l(y) = -2*y + 74 - 74. Give b(l(k)).
-32*k**2
Let x(b) = 2*b - 152. Let k(h) = -6*h**2. What is k(x(l))?
-24*l**2 + 3648*l - 138624
Let n(o) = o. Let l(x) = -x**3 + 3*x**2. Let u be l(2). Let s(i) = -4*i**2 + u*i**2 + i**2. Determine n(s(d)).
d**2
Let i(s) = s. Let v = 8 + -6. Let z(j) = -v*j**2 - 5*j + 2*j + 3*j. Determine i(z(x)).
-2*x**2
Let t(r) = -r**2. Let x(b) be the third derivative of -b**7/1260 - b**4/4 - 3*b**2. Let l(q) be the second derivative of x(q). Give t(l(j)).
-4*j**4
Let o(h) = h. Let i(g) = g - 10. Let w be i(12). Suppose 4*d = 2*b + 22, -28 = 4*b - 8. Let k(p) = 2*p - w*p + d*p. Give k(o(r)).
3*r
Let f = 33 - 23. Suppose 3*u - f = 5*u, -3*p = -4*u - 26. Let x(l) = 3*l - p*l + l. Let a(s) = -2*s. Determine a(x(w)).
-4*w
Let l(h) = h. Let s(v) = 665*v. Calculate l(s(y)).
665*y
Let i(z) = -2*z. Let a(h) = -2*h - 5669. What is i(a(s))?
4*s + 11338
Let p(o) = -2*o**2. Let j(r) = -919*r. Give p(j(h)).
-1689122*h**2
Let q(l) = 2*l**2. Let i(z) = -23*z**2 - z + z - 30*z**2. Give i(q(y)).
-212*y**4
Let l(g) = -2*g**2. Suppose 0*x - y = -3*x + 26, -2*x - 3*y = -21. Let h(b) = -5*b - 5 + x*b + 5. Give h(l(i)).
-8*i**2
Suppose -6 + 2 = -d. Let l(a) = -d + 4 - 2*a. Let r(t) be the third derivative of t**5/20 + 4*t**2. What is l(r(x))?
-6*x**2
Let t(n) = n - 1. Let k be t(4). Let h(d) = -d + d - k*d + 2*d. Let u(b) = -b. Give u(h(o)).
o
Let i(q) = -2*q**2 + 5*q + 5. Let g(y) = y + 1. Let n(j) = 5*g(j) - i(j). Let r(v) be the third derivative of -v**4/24 - v**2. Give r(n(b)).
-2*b**2
Let p(w) = 2*w**2. Let b(i) be the second derivative of 0*i**3 + 0 + 2*i - 1/4*i**4 + 0*i**2. What is b(p(q))?
-12*q**4
Let m( | {
"pile_set_name": "DM Mathematics"
} |
g as -33?
True
Are -321/61 and -4 equal?
False
Which is smaller: 7605 or 7606?
7605
Which is bigger: -43361 or -43360?
-43360
Which is smaller: -5/7 or -1?
-1
Which is smaller: 9087 or 9085?
9085
Which is smaller: -271 or -273?
-273
Are -1058 and -1058 equal?
True
Is 1741 not equal to 1?
True
Is -537/10 smaller than -55?
False
Is 0.3 greater than or equal to 27?
False
Which is smaller: 5/2 or 10?
5/2
Are -6.7 and -2 nonequal?
True
Are 969 and 969 equal?
True
Which is smaller: 12386 or 12387?
12386
Is -3/134 smaller than -1?
False
Which is greater: 11 or 29/3?
11
Which is greater: -160 or -159?
-159
Which is smaller: 0 or -43.95?
-43.95
Is -111 at least -104?
False
Which is bigger: 557/3 or 186?
186
Is 12885 at least 12886?
False
Which is smaller: -0.1 or 0.874?
-0.1
Is 11346 < 79418/7?
False
Which is greater: 2/407 or -6/19?
2/407
Which is bigger: 59 or 15?
59
Is 489 <= 446?
False
Which is smaller: -234 or -231?
-234
Is 3/23 bigger than -1?
True
Which is greater: 2/23 or 18?
18
Is 0.2 less than or equal to 4/31?
False
Is 2/9 at least as big as 112?
False
Which is bigger: -73 or -86?
-73
Are -18 and 76 equal?
False
Is -8 smaller than -1216?
False
Is -73/227 < 0?
True
Which is greater: -11/2 or 101/2?
101/2
Is 349 at least as big as 369?
False
Which is greater: 2225 or 2226?
2226
Which is smaller: -24 or -22?
-24
Is 0 smaller than -2/4605?
False
Is 393/2 > 196?
True
Which is smaller: 9/11 or 0?
0
Does 0.9 = -0.38?
False
Is -50 < -195/4?
True
Which is smaller: -38303 or -38302?
-38303
Is -575 != -563?
True
Is 58 < 8/23?
False
Is 6689 greater than 6689?
False
Is -25 less than 1/2?
True
Which is greater: -429 or -430?
-429
Which is smaller: -295 or -0.7?
-295
Is -2 != 982?
True
Which is smaller: 4028.7 or 0.1?
0.1
Which is smaller: 168 or 169?
168
Is -24 at least as big as -38?
True
Which is bigger: -0.05 or -2?
-0.05
Is -316 > -313?
False
Is -40 != -47?
True
Is -7845 greater than -7847?
True
Are 2/2517 and 0 non-equal?
True
Is 1 at most -1/19406?
False
Which is bigger: -1076 or -1075?
-1075
Is 6 less than or equal to 1?
False
Which is smaller: 15355/7 or 2195?
15355/7
Is 6697 smaller than 6698?
True
Is 1 at least -1/9519?
True
Which is smaller: -4 or 0.1962?
-4
Which is smaller: -662/39 or -18?
-18
Is 0.23 smaller than -13?
False
Is 19/42 >= 1?
False
Which is smaller: -1 or -1/12490?
-1
Which is smaller: 1718 or 0?
0
Which is bigger: 7024 or -1?
7024
Which is smaller: 10 or -3.5?
-3.5
Which is smaller: -298 or -292?
-298
Which is greater: 268 or 266?
268
Which is smaller: 22 or 18?
18
Which is bigger: -1 or 85?
85
Is -926 <= 4/5?
True
Which is greater: 1 or -2/6383?
1
Is 18 > 13?
True
Which is greater: 1 or 7/1929?
1
Is -122 >= -106?
False
Is -28/87 at least 0?
False
Is 41 at least 4?
True
Which is bigger: -46 or 85?
85
Are -3/2 and 399 unequal?
True
Which is smaller: -7 or -32?
-32
Is -1/1823 at most as big as -1?
False
Which is greater: -8 or 153?
153
Which is greater: -3/52 or 0?
0
Is -5501 greater than -5499?
False
Which is bigger: 252 or 262?
262
Which is smaller: -2/27907 or 1?
-2/27907
Is 0.02 bigger than -43?
True
Are 1 and -5/156 equal?
False
Which is smaller: 0 or -5/222?
-5/222
Which is smaller: 2 or -2936?
-2936
Is 5 bigger than 211/37?
False
Is -1 at most 16/2811?
True
Is -13 less than 29?
True
Which is smaller: 115 or 2675/23?
115
Is -337 at most as big as -19?
True
Is 2296 at least as big as 2297?
False
Is 17190 at most as big as -1?
False
Which is greater: 1 or -2/29?
1
Is 1 > 1465?
False
Are -1187 and -2/5 unequal?
True
Is -5 < -6?
False
Which is smaller: 59 or 353/6?
353/6
Is -43 at least -38?
False
Which is smaller: -9.34 or -0.2?
-9.34
Is 11980 smaller than 2/5?
False
Is -1.5 less than 0.6?
True
Which is bigger: 0 or 2/1013?
2/1013
Is -153 less than 1?
True
Do 0.0582 and -1 have different values?
True
Which is greater: -15.7 or -18?
-15.7
Which is smaller: 0 or -1/420?
-1/420
Are 1.83 and -1/91 unequal?
True
Is 10/7 smaller than 24?
True
Is -1 at most 2/1517?
True
Is -5975 <= -5980?
False
Which is greater: 0 or -2/1025?
0
Which is bigger: 23/16 or 2?
2
Is 0 at least as big as -2/2579?
True
Which is bigger: 907 or 908?
908
Which is bigger: -48 or 4?
4
Which is smaller: 14/4003 or 1?
14/4003
Is 0 bigger than 14/89?
False
Which is bigger: -1/767 or 0?
0
Are -1 and -4 non-equal?
True
Is -2/3 at most -142?
False
Which is smaller: -967/50 or -18?
-967/50
Which is smaller: 0.2 or -5/204?
-5/204
Is 1866 smaller than 1865?
False
Is -43767 greater than -43767?
False
Which is bigger: -2/631 or 0?
0
Is 3/14 greater than 4?
False
Are -4 and -76/15 unequal?
True
Which is greater: 374 or 377?
377
Which is smaller: 294 or 295?
294
Which is bigger: 5 or 289/80?
5
Is 18 > 122/7?
True
Which is smaller: 313/9 or 36?
313/9
Which is smaller: 72 or -3/19?
-3/19
Which is smaller: -1/129 or 0?
-1/129
Which is greater: -662 or -657?
-657
Which is greater: 23 or -2?
23
Is -99 greater than -138?
True
Is 1 >= 8515?
False
Which is bigger: 8086/11 or 734?
8086/11
Is 1/4 greater than -62?
True
Which is greater: 0 or -34/55?
0
Is -82 less than or equal to -78?
True
Is 1 equal to 3/2095?
False
Which is greater: -1 or -5/674?
-5/674
Is -53 at least -54?
True
Which is bigger: -201 or -200?
-200
Is 1 at least -17333?
True
Is 4 greater than or equal to 492?
False
Are 2/4031 and 1 equal?
False
Which is smaller: 69/11 or 0.1?
0.1
Do -4/67 and 0.1 have different values?
True
Which is smaller: -0.1 or 0.0031?
-0.1
Which is bigger: -11040 or -11042?
-11040
Which is smaller: -888 or -875?
-888
Is 1 > 55/159?
True
Does 0 = 4/893?
False
Which is bigger: -161 or -142?
-142
Which is smaller: 1812 or 1811?
1811
Are -1 and -24/197 equal?
False
Which is smaller: -65/6 or -12?
-12
Is 8837 at most -0.1?
False
Which is greater: 11479 or 0?
11479
Is 0 greater than or equal to 26/269?
False
Is 251/9 >= 2.3?
True
Is 16359 < 16358?
False
Which is greater: 0 or 200/537?
200/537
Is 20 < 0.048?
False
Is 3700 not equal to 3698?
True
Is 77 less than 76?
False
Which is greater: -34/115 or 1?
1
Do 1 and -36/217 have the same value?
False
Which is greater: 7 or -12/13?
7
Which is greater: 63 or -0.008?
63
Which is bigger: 21/65 or 1?
1
Is 35/1481 bigger than 1?
False
Is 105 smaller than 0?
False
Is -0.06 < 38?
True
Which is smaller: 79/2 or 0.23?
0.23
Which is bigger: 66 or 47?
66
Which is bigger: 0.94 or 7?
7
Which is smaller: -1/2 or 367/5?
-1/2
Which is greater: -4 or -6.9?
-4
Is -1 at least 15/391?
False
Is 44 smaller than -166?
False
Is -122 > -120?
False
Which is smaller: 2/42909 or 0?
0
Is 540 > 541?
False
Which is greater: -2/13 or 208?
208
Is -93 not equal to -84?
True
Do -34/63 and -1 have the same value?
False
Which is smaller: -16804 or -16805?
-16805
Does 0.1 = -218?
False
Is 0 < -8.76?
False
Which is smaller: 5049/10 or 504?
504
Which is smaller: 1/148 or 4?
1/148
Which is greater: 81 or 85?
85
Which is smaller: -468 or -467?
-468
Is 1 less than or equal to 25/189?
False
Are 351 and 352 equal?
False
Is 0.53 < 0?
False
Which is smaller: -11 or 8?
-11
Are -627 and -627 equal?
True
Which is smaller: 57 or 191?
57
Are 1 and 17/166 unequal?
True
Is -478 < -469?
True
Which is smaller: 6 or 161/24?
6
Is -50 > 0.01?
False
Which is greater: 3 or -42.4?
3
Which is smaller: 5137 or 5139?
5137
Which is smaller: 9952 or 9954?
9952
Which is smaller: 1 or 1/399?
1/399
Which is smaller: -1/13356 or 0?
-1/13356
Is 53 <= 32?
False
Are 0 and 142.6 non-equal?
True
Is 615/7 smaller than 88?
True
Which is bigger: -1158/11 or -104?
-104
Is 150 <= 153?
True
Do -1 and -2/84939 have the same value?
False
Which is smaller: 1225 or 1221?
1221
Do 11 and -1 have different values?
True
Are -4/17 and -3/22 unequal?
True
Which is smaller: 1/3 or -21/16?
-21/16
Which is bigger: 6 or 11?
11
Is -1562 smaller than -3125/2?
False
Which is bigger: 57 or 62?
62
Is 5/626 <= 0?
False
Is -119/8 < -14?
True
Are 17 and 24 non-equal?
True
Is 1102 at most 1106?
True
Do 75 and -24 have the same value?
False
Is 72 less than 2?
False
Is 16 at most as big as 713/41?
True
Which is greater: 232 or 233?
233
Is -532 smaller than -530?
True
Which is bigger: 39 or 23?
39
Which is greater: 11/659 or 0?
11/659
Is -3/67 <= 44?
True
Do -5970 and -1/2 have different values?
True
Which is smaller: 0.1 or 12752?
0.1
Is -223 less than or | {
"pile_set_name": "DM Mathematics"
} |
- n. Solve 3*m + 21 = i*c, 0 = 5*m + 2*c - 0 + 9 for m.
-3
Suppose -5*o + 10 = -0*o. Let t(h) = -2*h**o + 3*h**2 - 3*h + 10*h + 12. Let m be t(-8). Solve 4*u + 8*w - 5*w = 25, -4*w + m = 2*u for u.
4
Let g(o) = o - 2. Let k(a) = -1. Let z(j) = -g(j) + 5*k(j). Let h be z(-3). Solve -4*c - 27 = -4*m + m, 2*m + 5*c + 5 = h for m.
5
Let n = 31 - 15. Suppose -2*m - 2*m = -n. Suppose 0*u + m*u = 24. Solve 0*l + y - u = -l, 0 = -4*l - 5*y + 29 for l.
1
Let a(n) = 8*n - 28. Let h be a(4). Solve -h*d - 22 = -2*m, 2*d - 4*m = 5*d for d.
-4
Let m(d) = -d**3 + 6*d**2 - 8*d + 8. Let y be m(4). Suppose 4 + y = 4*s. Solve s*r - 25 = -8*b + 3*b, -2*r = 5*b - 25 for r.
0
Let f(i) = -10*i + 1. Let m be f(-1). Suppose 8 = -4*o + 2*q, -6*o + o + 2*q - m = 0. Let d be 11/3 + o/(-9). Solve -d*u + 5*h + 29 = 0, -h = 2*u + h + 8 for u.
1
Let r(p) = 11*p**2 - 1. Let j be r(1). Suppose -4*h - c + 2*c = -25, -j = h + 3*c. Let o = 14 + -9. Solve 5*g + 17 = 2*y, -h*y - 5*g + o = -10*g for y.
-4
Let t = 0 + 6. Suppose 0 = -3*d + a + 1, -4 = -2*d + 3*a - 15. Suppose -d*h + h + 3 = 0. Solve -t = h*g + 3*l, -l = 1 - 2 for g.
-3
Let a be (3 + -4)/(2/(-4)). Suppose a + 5 = o. Solve 2*h + u + 6 = 0, 3*h + 5*u + 16 = -o for h.
-1
Suppose -7*l - l + 24 = 0. Solve 0 = -l*i + 3*t + 21, -5*i + 3*t + 31 = 0 for i.
5
Let d(m) = -m**3 - 5*m**2 - 5*m + 2. Let u be d(-4). Let a be ((-4)/(-4))/(2/u). Solve a*w + 19 + 0 = 2*j, -5*w - 3*j = 19 for w.
-5
Suppose -35 = -5*s + 4*m + 5, 4*s + m = 11. Let h = -2 + s. Let g(c) = -c**2 - 4*c + 5. Let n be g(-4). Solve -3*l - u = 9, -h*l + n*l = 4*u - 24 for l.
-4
Let b(n) be the first derivative of n**3/3 - n**2 - 3*n + 4. Let d be b(4). Solve -4 = s - 2*a, d*s + 0*a = -a + 24 for s.
4
Suppose n - 2*z + 6 = 2*z, -4*z = 4*n - 36. Let u be (-3)/6*-1*n. Suppose 1 - 10 = -u*q. Solve 3*s = -d - 6, -4*s - q*d - 12 = 1 for s.
-1
Suppose -5*d - 33 = -183. Suppose 5*l = d + 95. Suppose 0 = 4*r + r - l. Solve 0 = 2*g + 4*q - 6*q - 6, r*g - 5 = -5*q for g.
2
Let p(a) be the second derivative of a**4/12 - 7*a**3/6 + 4*a**2 + 3*a. Let g be p(6). Solve s = 5, -3*s = -g*z + s - 20 for z.
0
Let o(c) = c**3 + c**2 - 8. Let f be o(3). Solve 0 = -3*v + 5*v - 10, -f = k - 5*v for k.
-3
Suppose 10 = -0*r + 5*r, -o - 5*r = -22. Suppose 9 = 15*j - o*j. Solve 0 = j*l - 2*b + b - 12, -4*b - 9 = l for l.
3
Suppose -4*h + 2 = -3*h. Let c = 9 - 9. Suppose -2*x = -c*x. Solve x*m - 4*m = -2*f + 8, 4*m + h = -f for f.
2
Let o(u) = 2*u**2 - 12*u + 7. Let f be o(7). Solve 2*n - 5*r + 7 = f, -5*n = 3*r - 4 for n.
2
Suppose 0 = -t + 2*s + 10, -4*t + 5*s = -t - 27. Solve -t*n + 16 = 3*o, 4*o - 4*n + 2 = -14 for o.
0
Let k = -1 + 11. Suppose -2*o - w = 2, -2*o + 4*w + w + k = 0. Let j = -2 + 7. Solve -y = j*u + 26, 0 = -4*y - o*u + u + 1 for y.
-1
Let h = -18 + 26. Solve l = u - 1, 5*u + h = -3*l - 3 for u.
-1
Let z(c) = 9*c**2 + 11*c - 8 - 4*c**3 + 1 + 2*c**3 + c**3. Let t be z(10). Solve d + 13 = -4*m, -2*d = 2*m + t*d - 7 for m.
-4
Let o(x) = 2*x + 5*x**2 + x**2 - 2*x**2 - 3*x**2. Let j be o(-3). Suppose 11 = j*m - 4. Solve b - l = 7, -5*b + 0*l - m*l = 5 for b.
3
Let s = -7 - -7. Suppose 5*i - 4*y + 8*y = 7, 23 = 5*i - 4*y. Suppose -16 = g - 5*g + 4*c, s = -i*c - 6. Solve -w + 5*x + 17 = 0, 0 = 3*w - 3*x + g*x - 9 for w.
2
Let h = 205 + -198. Solve -u = -0*u - 3*k - 14, -4*k - h = u for u.
5
Let h(k) = k**3 + 13*k**2 + 11*k - 3. Let t be h(-12). Solve 3 = 4*x - t, f + 16 = 4*x for f.
-4
Let c = 4 - -21. Suppose 4*o - 3*o = -16. Let b = c + o. Solve -y - b = 2*y + 3*t, -5*t = 4*y + 13 for y.
-2
Let i = -59 - -59. Solve v + 7 - 3 = i, -3*z = 2*v + 14 for z.
-2
Suppose 0 = 5*y + 5 - 45. Let v = y - 4. Solve 2*t = 2*m - 10, v*m - 25 = -m + 3*t for m.
5
Suppose 0 = 5*a - 4*a + 4*o - 12, 0 = -5*a - 5*o + 120. Let v be 2/7 + 188/a. Let p = -2 + v. Solve -2*s - 1 = -3*u, -s - p = -5*u + 2*u for s.
4
Let x(h) = h**3 - 9*h**2 + 3. Let n be x(9). Solve -z - n*r + 11 = 0, -4*z + 5*r = 16 + 25 for z.
-4
Suppose -5*p = 2*a - 6 - 4, -5*p - 5*a + 10 = 0. Solve p*c + c - 2*k = -1, -k + 5 = 0 for c.
3
Suppose -2*s + 10 = 3*s. Let y = -7 + 9. Solve -w - s*d + 3 = -y, -d = -1 for w.
3
Suppose f + 2*n = -6, -2*f + 0*f = -2*n - 18. Solve 2*l - 13 = -3*d, -f*l + 3*d + 7 = 26 for l.
-1
Let v = 71 + -69. Solve -5*g + 2*a - v = 1, -3 = -g + 4*a for g.
-1
Let l(f) = f**2 - 2*f + 1. Let y be l(1). Suppose y + 3 = o. Solve -15 = -c - 5*q, 2*c - o*q + 4 = -5 for c.
0
Let g(x) = x**2 - 5*x + 9. Let b be g(6). Suppose 0 = 8*d - 3*d. Suppose a + b - 45 = d. Solve 0 = -5*r - 5*s - a, s = -5*r - s - 15 for r.
-1
Suppose 4*m + 9 = 3*z + 43, 0 = 2*m - 2. Let g be 4/z + (-2)/(-5). Solve g*p = -2*f + 3*p - 21, f = -2*p + 7 for f.
-3
Suppose j = -0*j. Suppose -m + 18 + 7 = 5*l, j = 3*l - 6. Solve 0 = -7*n + 2*n + 5*r + m, -2*n + 12 = 4*r for n.
4
Let k be 14/3 - (-3)/9. Let t = -4 + k. Let p = 11 + -6. Solve -4*a + p*y - 15 = a, -y = -t for a.
-2
Let z(p) = p**2 + 5*p - 8. Let c be z(-7). Let g be -8 + c - -1*2. Solve 2*k = -t + k + 4, k - 2 = g for t.
2
Suppose 5*s + 0*s = -15. Let b(x) = -x - 3. Let u be b(s). Solve -2*z - 4*q + 8 = -u*z, 4*q = -z + 12 for z.
-4
Let x = 11 - 6. Solve -x = a + 2*h, 6*h + 13 = -a + 2*h for a.
3
Suppose 3*v + 18 + 9 = 0. Let o(l) = -3*l - 3. Let n be o(v). Solve y + 0*z = 5*z - n, 0 = -4*y + 4*z - 16 for y.
1
Let t(x) = -4*x**3 - x**2 - x + 1. Let r be t(1). Let k be r + 4 + (0 - -6). Solve 14 = -q - 3*v, k*q = 3*q - 3*v - 13 for q.
1
Suppose 3*m - 4*g = 6, -4 = -3*m - g + 2. Suppose 0 = c + 5*q + 9, 0 = c + 6*q - m*q + 6. Solve -4*v = -5*j - 45, 0 = -j - 4*v + c + 9 for j.
-5
Suppose 3*n = -2*m - 11, -3*n + 4*m - 18 = -n. Let w be (n/2)/((-1)/6). Suppose 12 + 0 = 3*y. Solve -8 = y*i - f, 13 = -4*i - 4*f - w for i.
-3
Let w(l) = l + 10. Let v be w(-7). Suppose -i + 2 + 3 = 0. Solve -i*g - v*z = -0*z + 9, -4*g + z = 14 for g.
-3
Let v(a) = -a**3 - 3*a**2 + 2*a - 2. Let k be 3 + 2 + -3*3. Let s be v(k). Let w = -2 + s. Solve -o - 3*u = -3*o - 6, w*o - 4*u + 12 = 0 for o.
-3
Let o(u) be the first derivative of 2*u**2 - 9*u + 1. Let b be o(7). Solve -2*m = -f - 2*f + b, 0 = -2*m - 4*f + 2 for m.
-5
Let d(s) = -2*s - 4. Let r be d(-3). Let a = r + -1. Let q = a - -4. Solve 0 = -5*v - 10, -q*n - 2*v + 5*v = -31 for n.
5
Let y(q) = 2*q**2 - 3*q. Let m be y(0). Solve m = -4*w - h + 8, -4*h + 21 = 5*w - 0*h for w.
1
Let p = -1 - -4. Suppose 3*w - 3 - p = 0. Solve -k = -2*b - 1, -2*k + b + b = w for k.
-3
Let s(p) = -p**3 - 10*p**2 - 8*p + 13. Let g be s(-9). Let t = -2 + g. Solve -2*c + 13 = 3*u, t*u - 9 = -3*c - 2 for u.
5
Suppose 0*t = 4*t - 3*k, 4*k = 4*t. Solve 3*p - o = -6, 2*p + t*p + 4 = 5*o for p.
-2
Let i = 15 + -6. Let u(h) = 2*h + 8*h - h**3 - i*h**2 + 3 - 1. Let l be u(-10). Solve 2*o - q = -o - 14, 0 = 4*o - l*q + 20 for o.
-4
Suppose -2*x + 1 = 11, -2*b + 31 = -5*x. Suppose -2 - 2 = -s. Solve -m + b*m + s*p + 22 = 0, -2*m - 5*p - 25 = 0 for m.
-5
Let k = 7 - 2. Let p be 10*(-1 - -2)/2. Solve -4*m - k = 3*g, g + 6 = p*m - 2 for m.
1
Let n(k) = -k**2 - 10*k + 15. Let a be n(-12). Let r = a + 12. Solve -5*q - r*m - 3 = 0, -q - 2*m = -6*m - 4 for q.
0
Suppose 2*z - 10 = 0, 0 = -3*c - 3*z + 31 + 2. Let f be 8/(-2 + c) - -2. Solve -12 = -3*d, 0 = -f*l - 2*d + 29 - 1 for l.
5
Let t be 3/2 - 9/(-6). Solve -26 = -2*n + 4*n - 5*s, 27 = -5*n + t*s for n.
-3
Suppose -t - 17 = -2*h, -2*h - t - 3*t + 2 = 0. Suppose -j = -3*j + 28. Let z be j/56 + (-39)/(-4). Solve -5*o + 4*i - z - h = 0, -12 = 3*o - 3*i for o.
-1
Let n be 3 + (-3 - (-8)/(3 + -1)). Solve c - 4 = -n*p + 6, -3*c + 4*p - 2 = 0 for c.
2
Suppose -17 = -3*c + 5*h, -4*c = -3*c + 5*h - 19. Let n = 13 - c. Solve -5*l - x = -25, -3*l - n*x - 6 + 38 = 0 for l.
4
Let s be (-21)/(-4) + (-1)/4. Suppose -f + s*q - 22 = 0, -q - 1 = -2*f - 0*q. Solve 4*l - 9*l = -3*z - 1, f = -3*l + 3*z for l.
2
Let p be 2*26/4 + 0. Let a = p + -6. Solve -2*r - 4*v = -a*r + 36, 5*r + 5*v = 0 for r.
4
Suppose -2 = -3*i + 13. Solve -x + i*x + 20 = -5*l, x = -3*l - 5 for l.
0
Suppose 2*x - 2*d - 6 = 0, 7 + 4 = 3*x - 5*d. Solve -4*u - 12 = 0, -x*u - 10 - 12 = 4*a for a.
-4
Suppose -4*d - 9 - 3 = -2*c, -5*d = -3*c + 16. Solve -2*i - c = -g, -4*i + 0 = -5*g + 4 for g.
0
Let f(s) = s. Let i be f(3). Let o(w) = 4 - 2 + 1 - 3*w + w**2. Let z be o(i). Solve 0 = -2*y - | {
"pile_set_name": "DM Mathematics"
} |
highest common divisor of 808013 and 57?
19
Calculate the greatest common divisor of 95 and 291471229.
19
What is the greatest common divisor of 209634359 and 53737?
3161
Calculate the highest common factor of 5203 and 13918498.
473
What is the highest common factor of 874 and 6200593?
437
What is the greatest common divisor of 10006143 and 559?
43
Calculate the greatest common divisor of 5797312 and 1.
1
Calculate the greatest common factor of 185 and 16666835.
185
Calculate the highest common divisor of 7666371 and 2007.
9
What is the highest common divisor of 450 and 11401650?
450
Calculate the highest common divisor of 56 and 28514906.
14
What is the highest common factor of 72238192 and 80?
16
What is the highest common factor of 267 and 27192437?
89
Calculate the greatest common factor of 125645139 and 3286.
1643
Calculate the greatest common factor of 38 and 5718656.
2
What is the greatest common divisor of 573144 and 10148424?
3432
What is the greatest common divisor of 22 and 228032981?
11
What is the greatest common factor of 112 and 6788670?
14
What is the highest common divisor of 56522 and 37362?
958
Calculate the highest common factor of 237 and 25108491.
237
Calculate the highest common factor of 486 and 909798.
6
Calculate the greatest common divisor of 6374063 and 1824.
19
Calculate the greatest common divisor of 25137 and 569540181.
2793
What is the greatest common factor of 5613601 and 742?
371
What is the highest common factor of 1933904 and 46872?
1736
What is the greatest common factor of 40 and 4610456?
8
What is the greatest common divisor of 48672 and 91036413?
1521
What is the greatest common divisor of 7350 and 40739874?
294
What is the greatest common divisor of 32844 and 447202?
238
What is the greatest common divisor of 1613016 and 438?
6
Calculate the greatest common factor of 84065 and 392955.
1955
Calculate the highest common divisor of 8 and 4095104.
8
Calculate the greatest common factor of 18 and 2507193.
9
What is the greatest common factor of 14638815 and 495?
45
Calculate the greatest common factor of 52925986 and 356.
178
Calculate the greatest common divisor of 837 and 375795.
9
Calculate the highest common factor of 56558429 and 219.
73
What is the highest common factor of 13460470 and 60?
10
What is the highest common divisor of 506 and 391901876?
46
What is the highest common divisor of 248826 and 1194?
6
What is the highest common divisor of 16 and 81746972?
4
What is the greatest common factor of 19001784 and 408?
408
Calculate the highest common divisor of 1670030 and 292030.
530
Calculate the highest common divisor of 273 and 10563189.
273
What is the greatest common factor of 238524 and 1593020?
572
What is the highest common divisor of 972 and 224268480?
108
What is the highest common factor of 35915584 and 64?
64
What is the highest common factor of 33 and 2293489?
11
Calculate the highest common factor of 37956388 and 3866.
3866
Calculate the highest common divisor of 247 and 11523595.
19
Calculate the highest common divisor of 2673 and 40320.
9
What is the greatest common divisor of 49404 and 1108416?
276
What is the highest common factor of 247245109 and 3593?
3593
What is the highest common divisor of 43931131 and 6412?
229
Calculate the highest common divisor of 331823992 and 444.
148
What is the greatest common factor of 105 and 87602760?
105
What is the highest common divisor of 1581125 and 2375?
125
What is the greatest common factor of 4770 and 5880195?
45
Calculate the highest common factor of 1053 and 1595113.
13
Calculate the greatest common factor of 451 and 963796020.
451
Calculate the highest common divisor of 317 and 44757.
1
What is the highest common factor of 2378084 and 12?
4
Calculate the greatest common factor of 6773291 and 986917.
2413
What is the greatest common divisor of 220 and 9353355?
55
What is the highest common divisor of 268710 and 20410?
130
What is the highest common divisor of 10839964 and 49506?
74
What is the greatest common factor of 24560295 and 2355?
2355
What is the highest common divisor of 2292 and 5724?
12
Calculate the greatest common divisor of 6656902 and 23618.
3374
Calculate the highest common factor of 76710260 and 166.
166
Calculate the highest common divisor of 30889 and 18542801.
1343
Calculate the highest common divisor of 365472 and 7128.
648
Calculate the greatest common factor of 22378 and 832207.
67
What is the greatest common divisor of 7328226 and 137145?
669
What is the greatest common divisor of 1919736 and 36792?
504
Calculate the greatest common factor of 1237071 and 31559.
209
What is the greatest common divisor of 497252 and 386332?
236
What is the highest common factor of 31 and 34929188?
31
What is the highest common factor of 32958 and 2706?
6
What is the highest common divisor of 123765810 and 399?
399
What is the highest common divisor of 1166 and 8928274?
106
Calculate the greatest common factor of 4210 and 1017317030.
4210
What is the highest common factor of 196700 and 137900?
700
What is the greatest common factor of 5301046 and 4978?
262
Calculate the greatest common divisor of 3258 and 429270822.
3258
Calculate the greatest common factor of 32 and 4908964.
4
What is the highest common divisor of 20494695 and 115089?
8853
What is the highest common divisor of 1885 and 6169228?
377
Calculate the greatest common divisor of 284984 and 95237.
727
What is the highest common factor of 138795 and 842997?
1461
Calculate the greatest common divisor of 2112 and 5338608.
528
Calculate the highest common divisor of 4882528 and 61344.
2272
Calculate the greatest common divisor of 18270 and 24295446.
3654
What is the highest common factor of 35602 and 366114?
14
What is the highest common divisor of 7 and 1116988159?
7
What is the highest common divisor of 83370056 and 1148?
1148
What is the greatest common divisor of 34734945 and 798?
399
Calculate the highest common divisor of 99021 and 7137.
39
Calculate the highest common factor of 46007375 and 250.
125
Calculate the greatest common factor of 176043059 and 940.
47
Calculate the greatest common divisor of 272 and 306574396.
68
What is the highest common divisor of 35 and 1305892?
7
What is the greatest common factor of 21 and 102801804?
21
What is the greatest common factor of 4970 and 2616530?
70
Calculate the greatest common factor of 72 and 46885536.
72
Calculate the greatest common divisor of 717 and 894666.
3
What is the highest common divisor of 7366950 and 340?
170
What is the highest common factor of 63794 and 3613546?
334
What is the highest common divisor of 11988992 and 24?
8
What is the highest common factor of 5103 and 693924?
21
Calculate the greatest common factor of 4002 and 1017474.
138
What is the greatest common factor of 671 and 151569?
11
What is the highest common factor of 63 and 11299449?
21
What is the highest common divisor of 514108 and 1200388?
1204
Calculate the highest common factor of 322 and 475489.
7
Calculate the greatest common divisor of 2334 and 72697098.
2334
What is the highest common divisor of 7770 and 3971765?
1295
What is the highest common divisor of 1014 and 1300546?
26
Calculate the highest common factor of 3003 and 119045927.
1001
Calculate the greatest common divisor of 6853763 and 7.
7
Calculate the highest common factor of 6208 and 2019584.
64
Calculate the highest common divisor of 9103059 and 9513.
63
Calculate the greatest common divisor of 50 and 979247875.
25
What is the highest common factor of 124336 and 27056?
304
What is the highest common divisor of 124 and 2621732?
124
What is the highest common factor of 9392616 and 1807218?
12294
What is the greatest common divisor of 3380000 and 52?
52
What is the greatest common factor of 244316720 and 160?
80
Calculate the highest common divisor of 10472 and 4450124.
476
What is the greatest common factor of 2932762 and 21?
7
What is the greatest common divisor of 12534203 and 99?
11
Calculate the greatest common factor of 2870 and 2000800.
410
What is the highest common factor of 1182 and 4250078?
394
Calculate the highest common factor of 60 and 1708066460.
20
What is the greatest common divisor of 124752690 and 18?
18
Calculate the highest common divisor of 49543 and 3682 | {
"pile_set_name": "DM Mathematics"
} |
-8707. Calculate the remainder when d is divided by 64.
44
Let b be -12*1/3*(-33)/44. Suppose 2*v - 2*g - 20 = 58, -g - 113 = -b*v. What is the remainder when v is divided by 25?
12
Let x = -717 - -1308. Suppose -3*g - 2*g - v + 1003 = 0, -3*v - x = -3*g. What is the remainder when g is divided by 29?
26
Suppose 4*k - 4*m - 1516 = 0, -9*m = k - 11*m - 381. What is the remainder when k is divided by 14?
13
Suppose -5*i - o = -11, -2*o = -4*i - 7*o + 13. What is the remainder when 1078/44*(-1)/(i/(-8)) is divided by 52?
46
Let y(q) = -13*q + 10*q - 55 + 15. What is the remainder when 1*(1 + -2)*-38 is divided by y(-20)?
18
Suppose -5*g = -y - 62, 4*g + 3*y - 26 = 35. Let p be 5/(20/6)*106/3. Suppose -4*x = 5*c - 5, 3*c + g = 5*x + p. Calculate the remainder when c is divided by 3.
2
Let m = -158 + 394. Calculate the remainder when m is divided by ((-9)/(-6) - 4) + (-489)/(-6).
78
Suppose 2*i - 18752 = 2*c, 2*c - 34 + 30 = 0. What is the remainder when i is divided by 113?
112
Suppose 8*t - 16 = 6*t. Calculate the remainder when 28 is divided by t/((-2)/(-4)*(-3 + 4)).
12
Suppose -14*o = -10*o - 20. Suppose j - 16 = -2. Suppose -4*b - j + 102 = 0. What is the remainder when b is divided by o?
2
Let q(v) = -v**3 + 24*v**2 + 15. Let b be q(24). Let p = b - -4. What is the remainder when 208 is divided by p?
18
Let z be (-1 - 3)*(8 - (1 - 0)). Let q = z + 47. Suppose -88 = -d + 3*x, 49 + 107 = 2*d - 2*x. Calculate the remainder when d is divided by q.
16
Suppose 3*f = 12, -2*y - 2*f - 31 = -3*y. Calculate the remainder when 51 is divided by 6/y + (-1440)/(-104).
9
Let f be 1/(-3) - (-31)/3. Suppose f = t - 212. Suppose -118 = -4*p - 3*j + 50, 196 = 4*p - 4*j. Calculate the remainder when t is divided by p.
42
Let n = 4639 + -4583. What is the remainder when 4925 is divided by n?
53
Let y(n) = 8*n - 70. Let v be y(14). Suppose -v*t + 38*t = -316. What is the remainder when t is divided by -3 - (-26 + -1 - 3)?
25
Suppose -44*t + 314 = -42*t. Suppose 0 = 10*n - t - 523. What is the remainder when n is divided by 24?
20
Let k(a) = a**3 - 60*a**2 + 335*a + 49. What is the remainder when 634 is divided by k(6)?
59
Calculate the remainder when 42*((-2)/(-35))/((-127)/(-57150)) is divided by 33.
24
Calculate the remainder when 45 + -32 + 2*2546 is divided by 23.
22
Suppose -481 + 840 = 15*z - 1216. What is the remainder when 342 is divided by z?
27
Let s(b) = -4*b - 4. Let g be s(2). Let v be (-141)/g*1 + 1/4. What is the remainder when (v/(-30))/(1/(-95)) is divided by 8?
6
Let l(k) = 3*k**2 - 4. Let r be 54/81*603/6. Suppose -3*g - 5*u + r = -20, -4*u = 3*g - 87. What is the remainder when l(6) is divided by g?
17
Let c = 45 + -51. What is the remainder when 25 is divided by (c - (1 + -2)) + 26?
4
Suppose 16*u = 11*u + 555. Let r = u + -53. Suppose 3*t + 2*a - 42 = -2*a, 5*a = -4*t + 55. Calculate the remainder when r is divided by t.
8
Let h(y) = 6 + 28*y - 2*y**2 + 12*y - 17*y. Let v be h(8). Suppose -i + 6*i = 4*f + 106, -3*i + v = -2*f. Calculate the remainder when 68 is divided by i.
14
Let a = 325 - 146. Suppose 0 = 2*q - 5*r - 62, 9*q - 4*q - r - 224 = 0. What is the remainder when a is divided by q?
41
Let w = -93 - -109. Suppose -w*m + 12*m + 8 = 0. Calculate the remainder when 20 is divided by m.
0
Let r(n) = n**3 + 20*n**2 + 12*n - 22. Suppose 5*b = 3*z - 77, 2*b = 5*z - 2*z - 65. Calculate the remainder when r(-19) is divided by z.
16
Let v(f) = -f**2 - 20*f - 2. Suppose 4*d - d = 294. Suppose -d = 5*j - 2*s, -5 = -5*s + 15. Calculate the remainder when 64 is divided by v(j).
30
Let p(l) = -2*l**3 - 7*l**2 - 2*l + 5. Let m be p(-3). Suppose -282 = -m*v + d - 9, 5*d = -3*v + 390. Calculate the remainder when v is divided by 23.
20
Suppose -5*o - 3*j = -64, -j - 3*j = 3*o - 34. What is the remainder when 2194 is divided by o?
10
Suppose 468*r = 470*r - 8. Suppose 5*z = 4*d - 56, 0*d + 70 = 5*d - r*z. Calculate the remainder when 23 is divided by d.
9
Let q(f) = 4*f - 7*f + 6*f - 4 + 29. Suppose 2*j = -3*j + 65. What is the remainder when q(0) is divided by j?
12
Let a(h) = 184*h + 53. Let o be a(-6). Calculate the remainder when (-5)/(-1) - (o + 45/(-9)) is divided by 9.
8
Suppose -3*m + 0 + 21 = 0. Let g be 5032/510 + (1 - 13/15). Suppose -2*i = -3*i + g*u - 35, u = 5. Calculate the remainder when i is divided by m.
1
Suppose -11*i + 126 = 10*i. Let b(g) = 7*g**2 - 32*g + 5. What is the remainder when b(i) is divided by 22?
21
Let m be (4/(-12))/(1/3). Suppose 68 = 4*w - 8. Calculate the remainder when w is divided by 22*(m - (-6)/4).
8
Let x(c) = 10 + 3*c**2 - 2*c**2 - 17*c + 10 + 0*c**2. Let g(b) = -17*b**3 - b**2 - 2*b - 2. Let r be g(-1). Calculate the remainder when x(r) is divided by 2.
0
Let c = -24 + 27. What is the remainder when 169 is divided by 208/6*(c/(-12) + 1)?
13
Let x(c) = 2*c + 13. What is the remainder when -2*3/24*0 + 221 is divided by x(12)?
36
Suppose -37008 - 19022 + 17922 = -28*k. What is the remainder when k is divided by 271?
6
Suppose 8*m - 5*q - 79 = 6*m, 2*q = 4*m - 118. What is the remainder when 70 is divided by m?
16
Let q(l) = 2*l**2 - 21*l + 113. Let w be q(6). Let c = w + -42. Calculate the remainder when 286 is divided by c.
14
Let s(p) be the first derivative of p**6/180 + p**4/6 - 2*p**3 - 19. Let x(q) be the third derivative of s(q). What is the remainder when 69 is divided by x(2)?
9
Let p(v) = 421*v**3 + 25*v**2 - 24*v. Calculate the remainder when p(1) is divided by 389.
33
Let s be 1/(1 - -2 - (-40)/(-12)). Calculate the remainder when 2*10*(2 + s/(-6)) is divided by 13.
11
Let n = -10727 + 10819. What is the remainder when 463 is divided by n?
3
Let g(y) = -66*y + 13. Let p be g(-2). Suppose 4*o = -5*w + p, -2*o = 3*o + 5*w - 180. What is the remainder when 69 is divided by o?
34
Let x(q) = -q**3 + 14*q**2 - 78 + 2*q**2 + 93. Let h be x(16). Suppose 0 = 5*s + 5*g - h, -3*g = 11 + 4. Calculate the remainder when 39 is divided by s.
7
Let i(t) = 103*t - 3133. What is the remainder when 191 is divided by i(32)?
28
Let d = 19 - 11. Suppose -c = -5*a + 22 + d, a - 5*c - 30 = 0. What is the remainder when (-15)/20*-18 + (-4)/(-8) is divided by a?
4
Suppose 0 = -38*s - 1412 + 4338. What is the remainder when 138 is divided by s?
61
Let k(i) = -4*i - 11. Let l be k(-15). Let o = l - 153. What is the remainder when 75 is divided by 3*5/((-60)/o)?
23
Suppose 9*m - 112 - 5 = 0. Suppose 0 = -7*z + 12 + 2. Suppose z*j - 5*r = -4*r + 71, 5*r = 3*j - 103. Calculate the remainder when j is divided by m.
10
Let x(w) = 2*w**2 - 32*w - 193. Suppose -4*k = -4*f + 20, -5*f - 5*k + 27 = -28. Suppose 38 = f*g - 7*g. Calculate the remainder when x(22) is divided by g.
33
Suppose 0 = 154*p + 26*p - 113220. Calculate the remainder when p is divided by 191.
56
Let g be 15*(-18)/(-20)*8/(-6). Let w be 43/9 + (-4)/g. Suppose w*d - 5*x = 135, -4*x = -3*d - 0*x + 76. Calculate the remainder when d is divided by 12.
8
Let y = -24902 - -24916. Calculate the remainder when 323 is divided by y.
1
Suppose -33*b + 713 = -1135. Let z = b - -7. Calculate the remainder when z is divided by 4.
3
Suppose -4*q = -z - 16, -58 = -9*z + 4*z - 3*q. What is the remainder when 365 is divided by z?
5
Let b = 7049 + -7032. Let g = -43 - -89. Calculate the remainder when g is divided by b.
12
Suppose -h + 14*h = 351. Suppose 31 = 4*f - 29. Calculate the remainder when h is divided by f.
12
Let m = -39598 + 40920. What is the remainder when 2653 is divided by m?
9
Let i(l) = 5*l**2 - 13*l - 21. Let o(j) = -j**2 + j + 1. Let v(w) = -i(w) - 4*o(w). Calculate the remainder when v(10) is divided by 6.
1
Let n(d) = -d**3 + d**2 + 7. Let i be n(0). Let t = i - 4. Suppose -t*j + 20 = -j - 4*p, -j + 7 = -p. What is the remainder when j is divided by 3?
1
Suppose -3*l + 3*s + 2173 + 641 = 0, 0 = 5*s + 35. Calculate the remainder when l is divided by 104.
99
Let h(x) = x**3 - 50*x**2 + 215*x - 583. What is the remainder when h(46) is divided by 141/15 + 4/(-10)?
6
Suppose 585 = -8*i + 10*i + 3*o, 0 = i - o - 295. Let n(v) = -4*v. Let u be n(-2). Suppose -u*l = -370 - i. What is the remainder when l is divided by 21?
20
Suppose -3*m + 4*f + 16 = -m, 0 = 4*f + 8. Let u(r) = 40*r - 42. Let d = 52 + -12. What is the remainder when u(m) is divided by d?
38
Suppo | {
"pile_set_name": "DM Mathematics"
} |
m, 1 in increasing order.
m, 1, 3, 8
Let y = -30.08 + 30. Sort 2, -5, y.
-5, y, 2
Let b be (-3)/(-15)*(-5)/2. Suppose 5*x + 2*g - 15 + 5 = 0, -4*g = -2*x + 28. Put x, -1/5, b in ascending order.
b, -1/5, x
Let c(d) = 3 - 10*d - d**3 - 11*d**2 + 0*d**3 - 5. Let t be c(-10). Sort t, 0, -1.
t, -1, 0
Let o = -10 - -5. Suppose 5*v - 25 = 5*x, v + 2 = 2*x + 13. Let a = x + 10. Sort o, a, 3 in ascending order.
o, 3, a
Let s = -15 - -14. Put -5, 3/7, s in increasing order.
-5, s, 3/7
Suppose 0*m + 18 = 3*m. Let u be m/(-4)*(-20)/(-1095). Let c = -65/292 + u. Sort c, 0.1, -1 in increasing order.
-1, c, 0.1
Let q be (-75)/(-6) - (-3)/(-2). Suppose 14 + q = -5*z. Sort z, 1, -4.
z, -4, 1
Let m = 9.6 + -8.8. Sort 4, 3, -1, m in ascending order.
-1, m, 3, 4
Let q(d) = -d**2 - 3*d - 1. Let c be q(-2). Suppose 0 = 3*n - 0*n. Suppose -f + n = 3. Sort 3, f, c in decreasing order.
3, c, f
Let f = 0.76 + -0.46. Let t = -41 + 121/3. Let d be 2 - (1 - 9/(-11)). Sort d, f, t in decreasing order.
f, d, t
Let l(u) = 6*u**2 - u**3 - u**3 - u**3 + 4*u**3 + 6*u + 6. Let w be l(-5). Sort w, 5, -6.
-6, w, 5
Suppose 5*y + 3 = -2. Let u = 5 - -2. Suppose -k - 3*c - 8 = u, -k - 2*c - 10 = 0. Put k, 2, y in ascending order.
y, k, 2
Let i = -8 - -5. Let v = -39 - -43. Sort -0.4, i, v.
i, -0.4, v
Suppose -2 = -2*p + 6. Sort 13, -3, p in increasing order.
-3, p, 13
Let a(i) = -3*i + 21. Let d be a(8). Let v(j) = j**3 - 6*j**2 - 7*j + 2. Let t be v(7). Put t, -5, d in descending order.
t, d, -5
Suppose -2*u = -7 - 11. Suppose g - 4*g = u. Sort -1, 0, g in ascending order.
g, -1, 0
Let y = -37 - -26. Let d = y - -16. Put 1, d, 2 in descending order.
d, 2, 1
Suppose 10 = 9*q - 7*q. Suppose 10 = 5*l - 0*l. Put 1, q, l in ascending order.
1, l, q
Let c(n) = -4*n**2 + n + 1. Let f be c(-1). Let x = f + 7. Suppose 0*d + x*d = 15. Sort 3, 1/5, d.
1/5, 3, d
Let q = -1 - 4. Suppose -11 + 8 = 3*o. Put o, q, 5 in decreasing order.
5, o, q
Let l(f) be the second derivative of f**3/3 + 9*f**2/2 + 2*f. Let d be l(-7). Sort 1, d, 0 in decreasing order.
1, 0, d
Let k be 435/36*-2 + -2. Let h = k + 26. Let u = -0.5 + 0.3. Sort -3/5, u, h in increasing order.
-3/5, u, h
Suppose 3*x = 2*x - z + 7, 0 = 5*x + 2*z - 26. Let i = 7 - x. Let r be 76/144 - i/4. Sort r, 4, -0.3.
-0.3, r, 4
Let x = 1 + 5. Let p be (-4)/x - 20/(-48). Let t = -4 - -6. Sort p, t, -1/6 in descending order.
t, -1/6, p
Suppose 3*p - 2*y + 14 = 0, 0*p - 18 = p - 4*y. Let x be ((-2 - -2) + 2)/p. Sort -5, -2, x in decreasing order.
x, -2, -5
Suppose 2*i = i + 69. Sort 1, 5, i in decreasing order.
i, 5, 1
Let s = -0.14 + 0.34. Let x = 2/397 + -1991/1191. Sort s, x, -7 in decreasing order.
s, x, -7
Suppose -3*x = 11 - 23. Sort x, 14, 1 in increasing order.
1, x, 14
Let m(i) = 2*i**3 + 2*i**2 - 2*i. Suppose 2 = -2*a + a. Let s be m(a). Let h be (2 + s)*(5 + -3). Put 2, 5, h in descending order.
5, 2, h
Let f be 10/16*-2*4. Put 18, f, -2/5 in ascending order.
f, -2/5, 18
Suppose -4*s - 2*c - 48 = 0, -2*c - 2 - 2 = 0. Put 3, 5, s, -3 in ascending order.
s, -3, 3, 5
Let d = -0.5 - -2. Let g = -1 + d. Sort 0, -0.1, g in decreasing order.
g, 0, -0.1
Let a = 6 + -1. Suppose f = -3*q - 9, 5*f + 19 = q - 3*q. Put 1, q, a in decreasing order.
a, 1, q
Let z = -8 - -8.05. Let i = z - -0.15. Sort i, -2, -5.
-5, -2, i
Suppose 5*d - 25 = 0, x + 7*d = 5*d + 14. Sort -4, 5, x in descending order.
5, x, -4
Suppose 2*f - f + 2*m = -13, -21 = 5*f - m. Put -4, -3, f in increasing order.
f, -4, -3
Let w be (4/10)/((-2)/10). Let t = 41 + -45. Put w, 0.1, t in ascending order.
t, w, 0.1
Let l = 0.2 + 0.3. Let n = 6 - 7. Sort n, l, -4.
-4, n, l
Let y be 8/2*24/32. Sort 29, -5, y in decreasing order.
29, y, -5
Suppose -3*q + 8 - 2 = 0. Let v be 6/(-4)*(-2)/(-3). Put q, v, 3 in ascending order.
v, q, 3
Suppose n - b = -7 + 19, -4*n + 3*b + 52 = 0. Put n, 0, 3, -1 in descending order.
n, 3, 0, -1
Let w(x) = x - 12. Let d be w(8). Sort -5, -1, d in decreasing order.
-1, d, -5
Suppose -4*x = 5*p - 6, 4*x - 2*p + 5 = -3. Sort x, 2/19, -4/3.
-4/3, x, 2/19
Let d be (-2)/(6/(-3)) - (3 - 0). Put 0, -1, d in ascending order.
d, -1, 0
Suppose 5*r = -0 - 10. Put -8, -5, r in descending order.
r, -5, -8
Let z be 16/6*2/((-12)/18). Put 3, 5, z in ascending order.
z, 3, 5
Let w(g) = g**3 - 2*g**2 - 3*g - 1. Suppose -4*j - 1 = -2*o - 5*j, -3*o + 3*j = -24. Let i be w(o). Let t = 7 + -11. Sort 2, t, i in decreasing order.
2, i, t
Let r be -34 - (-3 + (-4)/(-2)). Let y = r + 28. Sort -4, -1/10, y in increasing order.
y, -4, -1/10
Let m be -2*(-3)/(-9)*-3. Suppose -1 + 7 = m*f. Put f, 5, -5 in decreasing order.
5, f, -5
Suppose -3*i + 10*c = 5*c - 59, 3*i = -3*c + 27. Put i, 5, -2 in decreasing order.
i, 5, -2
Let l = -0.06 + -3.94. Let p = l + 4.4. Let m be -1 - ((-6)/1 - -1). Sort p, 1, m in descending order.
m, 1, p
Let r(v) = -v**3 + 8*v**2 - 6*v - 6. Let i be r(7). Suppose 33 = -4*d + 5. Let a = -12 - d. Sort i, -1, a.
a, -1, i
Suppose -x = 99 + 5. Let c be x/(-32) + 2/(-8). Put c, -4, -2 in descending order.
c, -2, -4
Let i(t) = -t**2 - 5*t - 2. Let k be i(-4). Let l be 9/42 + (-1)/k. Let f = -2/115 + -101/805. Sort 4, f, l in descending order.
4, f, l
Suppose -3*q - 2*c = 10, 4*q - 5*c = -0*q - 21. Sort q, 0.9, -2/15 in descending order.
0.9, -2/15, q
Let t = -12 - -14. Put t, 5, -5 in increasing order.
-5, t, 5
Suppose -3*l - l = 20. Let a = -9 + 10. Let m = a - 2. Sort -2, l, m in decreasing order.
m, -2, l
Let q(i) = -i**3 - 8*i**2 - 9*i - 15. Let f be q(-7). Sort 2/5, f, -4/5 in increasing order.
f, -4/5, 2/5
Let b = 357 + -361. Let k be ((-2)/(-4))/(9/(-12)). Sort 2, k, b.
b, k, 2
Let g(p) = -p**2 + 6*p - 6. Let u be g(4). Suppose q - u*q = 1. Sort q, -4, 2 in descending order.
2, q, -4
Suppose 11*h = -28 + 6. Sort 0, h, 66 in decreasing order.
66, 0, h
Let t be 0 - 5/((-10)/(-24)). Let w be t/21 + 4/14. Let q be (6/(-45))/((-4)/6). Put 4, q, w in decreasing order.
4, q, w
Let c(y) = -y**3 + 7*y**2 - 6*y + 2. Let w be c(6). Let f be ((-2)/(1*-4))/(-1). Let l = f - -5/6. Sort w, 0, l in increasing order.
0, l, w
Suppose 0 = -2*m - 4*z, -3*m + 14 = 2*m - 4*z. Let q be m*3*(-1)/(-2). Suppose -q*c + 4 = -c. Sort -3, -2, c in ascending order.
-3, -2, c
Suppose -4*q + m + 17 = 0, 3*m + 40 = 5*q - 2*m. Suppose -20 = -4*g - g. Let u be (-9)/3 - (-32)/g. Put u, q, 1 in decreasing order.
u, q, 1
Let c be 1 + 4/2 + -2. Suppose 3*r = -3*h - 3, r + 3*h + 9 = -0*h. Suppose 0 - 1 = 2*y + r*p, -4*y = 5*p + c. Put -1, 0, y in decreasing order.
y, 0, -1
Let n = -28/57 - -3/19. Let u = 2 + -2.3. Put n, -4, u in decreasing order.
u, n, -4
Let m = -14 - -18. Sort -1, m, 1 in decreasing order.
m, 1, -1
Let n = 0.06 - -2.94. Let q = 5 - n. Sort 4/5, 1, q in decreasing order.
q, 1, 4/5
Let i = 8 + -4. Sort 1, i, -4.
-4, 1, i
Suppose 6 - 1 = w. Suppose 3*r = 3*l - 21, 3*r + l = 6*l - 29. Sort w, r, 2 in increasing order.
r, 2, w
Let j = -58 - -62. Put j, 5, -4 in decreasing order.
5, j, -4
Suppose 4*x - 2 = -14. Sort -8, -1, x in increasing order.
-8, x, -1
Let l = -1.94 + -0.06. Let j(w) = w**3 + 13*w**2 + 41*w + 12. Let s be j(-8). Sort -0.1, s, l in ascending order.
l, -0.1, s
Let h = -23 + 2. Let a = 24 + h. Sort -0.2, a, 1/5 in ascending order.
-0.2, 1/5, a
Let p(b) = -b**2 + 4*b - 2. Let h be p(2). Let v(x) = x**2 - 6*x - 7. Let q be v(7). Let t = h + q. Put t, 1, -4 in increasing order.
-4, 1, t
Suppose -r + 16 = 3*r. Suppose -36 = -3*w + r*t, 4*w - 17 = -7*t + 2*t. Let o be (-1)/2*(-6)/w. Sort -2/3, o, 0 in ascending order.
-2/3, 0, o
Let p be (-5)/((-5)/2)*-8. Let c be (-2)/(-6) + p/3. Sort -5/4, 0, c.
c, -5/4, 0
Let s = 0.11 - 0.91. Let r = 0.2 + s. Let y = r - 0.4. Put 1, y, 4/5 in ascending order.
y, 4/5, 1
Let z(r) = -r**3 - r**2 + 9*r + 2. Let p be z(-7). Let q = 2561/11 - p. Let h be 4/(-12)*-6 + -1. Put -1, q, h in descending order.
h, q, -1
Suppose -4*s + 40 = 200. Let k be (1/2)/(5/s). Suppose c + 0 = -5. Sort k, c, 2 in increasing order.
c, k, 2
Let h = 2 + -2. Let s be 9/8 - 63/(-168). Put 0.4, h, s in increasing order.
h, 0.4, s
Suppose 0 = 3*x - 3*n - 15, -3*n - 15 = -x - x. Suppose 0 = -3*h - x*h + 15. Sort 0, -1, h.
-1, 0, h
Suppose 7 = 4*g - 13. Let o = -0.1 - 0.4. Put g, o, 1/3 in increasing order.
o, 1/3, g
Let j = -0.6 - -3.6. Let q = j + -2.9. Let b = 0.7 + | {
"pile_set_name": "DM Mathematics"
} |
ppose -c*t = -3 - 42. What is the remainder when 26 is divided by t?
8
Let d be 1143/15 - (-2)/(-10). Suppose d = 5*v - 49. Let l = v + -8. Calculate the remainder when l is divided by 6.
5
Let j = -19 + 47. Suppose -j = -0*z - 4*z. Calculate the remainder when 26 is divided by z.
5
Let j = 2 + 0. Suppose -5*o - 5*b = -140, 4*o - j*b - 38 = 50. What is the remainder when o is divided by 13?
11
Suppose 3*v + 34 = 5*s, 0 = 5*v - 4*s + 2 + 46. Calculate the remainder when v/(-3)*12/1 is divided by 17.
15
Let y be 1/(-2) - (-3)/2. Let l be y*(5 + -2) - -1. Suppose -2*f - 3*g - 12 = -l*f, -5*f + g = -17. Calculate the remainder when 4 is divided by f.
1
Let q(m) = -2*m - 7. Let s(a) = a**2 + 7*a + 6. Let g be s(-5). Calculate the remainder when q(-6) is divided by (6/g)/(12/(-16)).
1
Suppose 0 = -10*m + 7*m + 684. What is the remainder when m is divided by 46?
44
Let t = 3 - 3. Let l = t - 0. Let o = l + 14. Calculate the remainder when o is divided by 5.
4
Let k = 15 + 15. Let h = k - 17. Let c = 93 - 55. Calculate the remainder when c is divided by h.
12
Suppose -6*p + 3*p + 39 = 0. What is the remainder when p is divided by (-34)/(-8) + 2/(-8)?
1
Suppose 0 = 3*b + 4*o + 11, -o - 4*o = b + 11. Suppose 2*t = 30 + 4. What is the remainder when t is divided by (b*1)/(3/(-18))?
5
Calculate the remainder when 1 + (4*40 - -1) is divided by 55.
52
Let a(m) = -5*m - 80. Calculate the remainder when a(-29) is divided by 25.
15
Let x be (3/1)/((-6)/(-4)). Suppose 35 = -x*a + a. Let g = 63 + a. What is the remainder when g is divided by 10?
8
Suppose 28 = a + 3*a. Suppose -4*c + 4*y + 5 = c, 4*c - y + a = 0. What is the remainder when (-20)/c*(-21)/(-7) is divided by 7?
6
Calculate the remainder when 30 is divided by (-9)/(-3)*(-32)/(-6).
14
Suppose 5*x - 30 = -5*b, 6*b - 20 = b. Suppose 2*t - 3*t = -x. Calculate the remainder when t is divided by 2.
0
Suppose -4*w = 5 - 41. Calculate the remainder when 26 is divided by w.
8
Suppose 0*g = g - 16. Calculate the remainder when 59 is divided by g.
11
Let d be -2 + (-2)/(4/166). Let r = d - -7. What is the remainder when 25 is divided by ((-4)/12)/(2/r)?
12
What is the remainder when 102 is divided by (-174)/(-8) + (-45)/60?
18
Let k = 71 - 39. Let c(w) = 2*w - 2*w - 2*w - 7 + 0*w. Calculate the remainder when k is divided by c(-9).
10
Let s be 9 - (3 - 5)/2. Suppose 0*k + s = k. Calculate the remainder when 27 is divided by k.
7
Let b = 15 - 2. What is the remainder when b is divided by 7?
6
Let h(k) = -k**2 + 5*k + 14. What is the remainder when 39 is divided by h(6)?
7
Suppose -3*p = -p + 2*g - 16, -2*p + 17 = 3*g. Suppose l - p = 13. What is the remainder when 672/l - 4/(-10) is divided by 12?
10
Let f(y) = y - 4. Let c be f(8). Suppose -25 = -5*p - 10, -c*o = -p - 9. What is the remainder when o is divided by 2?
1
Suppose 4*p + 11 = 95. What is the remainder when p is divided by 11?
10
Suppose -2*o = -0*o - 6. Let k(y) = 2*y + 2*y + y**2 - 1 - o. Calculate the remainder when k(-6) is divided by 5.
3
Suppose 50 = 2*v - 2*h, -v + 0*v = -2*h - 27. What is the remainder when v is divided by 9?
5
Suppose d = -4*d + 175. Let w = -10 + 22. Calculate the remainder when d is divided by w.
11
Let q(h) = -5*h + 51. What is the remainder when 43 is divided by q(8)?
10
Suppose g + 2*s + 31 = 2*g, -5*g + 5*s = -175. Calculate the remainder when g is divided by 2/(1/(-20)*-4).
9
Let m(d) = -d**2 + 8*d + 7. What is the remainder when 110 is divided by m(7)?
12
Let c = -35 - -55. Calculate the remainder when 116 is divided by c.
16
Suppose 5*o + 72 = -28. Let j = o + 45. What is the remainder when j is divided by 7?
4
Let h(c) = c**3 - 8*c**2 + 10*c - 6. Let q be h(7). Suppose -4*k = -33 - q. Calculate the remainder when ((-7)/4)/((-3)/k) is divided by 4.
3
Calculate the remainder when 4/(-3)*3 + 25 is divided by 13.
8
Let n = 200 - 125. Let x = 41 + -22. Calculate the remainder when n is divided by x.
18
Let n(m) = -m**2 + 3*m - 3. Let w be n(2). Suppose 0*h = -2*h. Let u = h - w. Calculate the remainder when 2 is divided by u.
0
Let h(p) = 27*p**3 - p + 1. Let i be h(1). What is the remainder when (-45)/i*(-2 - 1) is divided by 3?
2
Let a = 37 + -24. Let u(z) = 49*z**2 - 4*z + 4. Calculate the remainder when u(1) is divided by a.
10
Let b be 2/2*(-1 - -1). Suppose -3*z + 33 = -b*z. Calculate the remainder when z is divided by 7.
4
Let v = 38 - 0. Calculate the remainder when v is divided by 13.
12
Let x = 19 - 11. Calculate the remainder when x is divided by 4.
0
Let n(h) = 4*h**2 - 2*h + 1. Let b be n(1). Suppose 0 = -y + b*y - 16. Let o(z) = z + 12. Calculate the remainder when y is divided by o(-7).
3
Let o(f) = 2*f - 1. Calculate the remainder when 3 is divided by o(2).
0
Calculate the remainder when 58 is divided by 1 - (-9 + 9 - 28/2).
13
Let t(h) = -13*h - 41. Calculate the remainder when t(-13) is divided by 44.
40
Let u = 29 + -15. Suppose 2*a = 5*a - 30. Let r(p) = -p**3 + 10*p**2 + 2*p + 7. Calculate the remainder when r(a) is divided by u.
13
Let j(v) be the third derivative of v**5/60 - v**4/24 + 4*v**3/3 + 9*v**2. Calculate the remainder when j(0) is divided by (-17)/(-5) + (-4)/10.
2
Suppose -3*q + q = -94. Calculate the remainder when q is divided by 12.
11
Let g = 0 - -3. Let a(f) = 5*f + 6*f - 8*f - 4. Calculate the remainder when 9 is divided by a(g).
4
Suppose 0*s = s - 63. Calculate the remainder when s is divided by 17.
12
Let f be (57 - -3)/2*1. Suppose f = -p + 101. Calculate the remainder when p is divided by 24.
23
Suppose s + 5 = 1. Suppose -n + 6 = 1. What is the remainder when (18/(-27))/(s/42) is divided by n?
2
Let b be (15/(-4) - -3)*12. Let c(g) = g**3 + 10*g**2 + 8*g + 5. What is the remainder when c(b) is divided by 4?
2
Suppose -319 + 25 = -7*m. Calculate the remainder when m is divided by 22.
20
Let x = -10 - -21. Let g = 14 + -11. Suppose -g*v + 1 = -x. What is the remainder when 6 is divided by v?
2
Let j(t) = t**2 + 2*t + 12. Calculate the remainder when j(-6) is divided by 4.
0
Suppose 2*m - 204 = -4*j, -2*m = 4 - 0. What is the remainder when 311 is divided by j?
51
Let w(z) = 4*z**2 - 4*z - 1. What is the remainder when w(3) is divided by ((-13)/3)/(1/(-3))?
10
Suppose -12 = s - 4*s. Suppose -5*x + 12 = u, -s*x + 10 = -0*u + u. Calculate the remainder when 2 is divided by u.
0
Calculate the remainder when (320/15)/(3/9) is divided by 24.
16
Let m be (5 + -3)*1*-3. Let r = m - -15. What is the remainder when 26 is divided by r?
8
Suppose -4*c + 137 = -3*w, 5*w = c - 14 - 16. Calculate the remainder when c is divided by 19.
16
Suppose -5*g = 5*z - 60, -6*z = -2*z + g - 57. Calculate the remainder when z is divided by 4.
3
Suppose g - 31 = -n + 2*g, n - 4*g - 31 = 0. Calculate the remainder when n is divided by 17.
14
Let x = 2 + -1. Let k(a) = 3*a**2 - 2*a + 1. Let u be k(x). Suppose 21 = -u*g + 3*g. What is the remainder when 40 is divided by g?
19
Let i(h) = 26*h + 10. What is the remainder when i(7) is divided by 39?
36
Let i = 8 - -7. What is the remainder when 65 is divided by i?
5
Suppose -f + 202 = 139. What is the remainder when f is divided by 16?
15
Let u = 90 + -20. Calculate the remainder when u is divided by 12.
10
Let j be (-3)/((-44)/16 + 3). Let b(t) = -t**2 - 14*t - 17. What is the remainder when 19 is divided by b(j)?
5
Suppose 3*o = -s + 103, 7*o = 8*o. Calculate the remainder when s is divided by 27.
22
Let h = 0 - 0. Suppose w + 3*w + 8 = -2*o, 3*w - 12 = h. Let k = o + 28. Calculate the remainder when 46 is divided by k.
14
Let p = 62 - 34. Calculate the remainder when p is divided by (0 - 1)*-2*5.
8
Let i be (2 - 1)/(2/4). Suppose t = o + 3, 0 = -6*o + o. Suppose -t*j - i*j = -15. What is the remainder when 7 is divided by j?
1
Suppose 5*y + 146 = 4*d, d + 3*y - 30 + 2 = 0. Suppose -5*x + d = -51. Calculate the remainder when 50 is divided by x.
16
Let z be (-2)/((-2)/1)*5. Let n(c) = c**2 - c + 4. Let a be n(0). Suppose a*x - z = 67. Calculate the remainder when x is divided by 10.
8
Let c(s) = -3*s**2. Let x(m) = 2*m**2 - m + 1. Let j(w) = -3*c(w) - 4*x(w). Let o be j(-4). What is the remainder when 20 is divided by o/2*1 - -9?
6
Let h = 71 - 49. Calculate the remainder when h is divided by 6.
4
Let n = 9 - 7. Suppose -5*s - n = w + 2, -s + 28 = 5*w. | {
"pile_set_name": "DM Mathematics"
} |
457 = 0. Let v = h - -69. Solve -u = -v*u + 25 for u.
5
Suppose 4*g + 5*z - 33 = 71, 0 = 2*g + 3*z - 50. Suppose 30*j = g*j - 25. Solve 3*q = 8*q + j for q.
-5
Let y = -108 + 113. Let u be 56 - (-6 + y) - (-1 + -2). Suppose 62 = 2*r + u. Solve 2*b - 3*b = r for b.
-1
Suppose 2*g + 3 = 5. Let q(n) = -7*n + 20*n - 13*n + 2*n**2 + n. Let f be q(g). Solve 0*m = -f*m + 9 for m.
3
Let p(w) = 254*w**2 + 5*w + 1. Let n be p(-1). Let t = n - 244. Solve -t*s + 2*s + 4 = 0 for s.
1
Let w(x) = -x**2 + 2*x + 29. Let g be w(6). Suppose g*k - 20 = -3*c - 0*c, -3*k - c = -12. Solve -y + 9 = -k*y for y.
-3
Let a(l) = 108*l + 1669. Let t be a(-15). Solve 0 = -5*u + 79 - t for u.
6
Let y = 2851 - 2849. Solve -32*v + y*v - 60 = 0 for v.
-2
Suppose 0*t = 7*t - 21. Let h(x) = 1 - t*x + 9 + 2*x. Let j be h(10). Solve -3*y = -j*y + 9 for y.
-3
Let k(y) = 6*y**3 - 73*y**2 - 58*y - 71. Let s be k(13). Solve s = 90*w - 95*w for w.
-4
Suppose 4*g - 753 = -i, -4*g - 3*i + 762 = -5*i. Suppose -21 + g = 6*r. Suppose -23*n = -r*n + 5. Solve s - n = 4 for s.
5
Suppose 4*c + 4 = 0, 4*p - 2*p + 3*c - 9 = 0. Let m be (-3 - p)*(-4)/6. Solve -6*x - m = -12*x for x.
1
Let m = -692 + 695. Suppose 0 = -z - 0*z - 2*i, -m*i = 0. Solve 5*n - 14 - 11 = z for n.
5
Suppose 2*n + 291 + 143 = 3*r, 3*n + r = -640. Let f = 224 + n. Solve 0 = -6*q - 20 - f for q.
-5
Suppose -5*t = 4*b - 37, t + t - 4*b = 26. Let d(j) = j + 17. Let u be d(t). Let a = u - 19. Solve 10 = 5*x - a*x for x.
-5
Suppose 3*s + 2*l = -2*l + 112, 3*l - 147 = -4*s. Let r = s + -41. Let o(a) = a**3 + 4*a**2 - 4*a + 5. Let c be o(r). Solve c*y = y for y.
0
Let i(w) = -w**2 - 31*w + 187. Let v be i(-36). Solve -v = 34*p - 7 for p.
0
Suppose -12*y + 10*y - 92 = 0. Let p be 2332/1219 + (-4)/y. Solve 0 = p*v - 8 + 16 for v.
-4
Let z(k) = 5 - 20*k - 20*k + 41*k. Let m be z(-4). Solve 2 + m = 3*h for h.
1
Let f be 0*(9/(-2) - -5). Suppose -3*p - 3 = -4*l, f = 3*l + 3*p + p - 21. Solve -4*n - l = -n for n.
-1
Suppose 3452 + 2761 = 109*b. Solve b = -5*a + 42 for a.
-3
Let k = -13901 + 14376. Solve -20*g - 635 = -k for g.
-8
Let t(i) = -i**3 + 4*i**2. Let c be t(3). Let r be 3/c - ((-23)/3 + 0). Solve -r = -x - 3*x for x.
2
Let l = 117 - 111. Let h be (l - (8 + -1))/((-2)/16). Solve -4*s + 12 = -h for s.
5
Let x be (-2345)/2680 - (-1519)/8. Solve -37*f - 26*f = -x for f.
3
Let d(v) = v**3 + 4*v**2 - 11*v + 7. Suppose 3*g + 37 = 97. Suppose -4*s - 2*c - g = 0, 0 = -2*s - c + 5*c - 20. Let q be d(s). Solve u - 2*u = q for u.
-1
Let c(k) = 5*k**3 + 2*k**2 - 1. Suppose -3*z = 15 + 102. Let q be 22/26 + (-6)/z. Let g be c(q). Solve 0 = 2*r - g*r + 12 for r.
3
Let s(b) = 40*b - 116. Let i be s(4). Solve -i*x + 43*x = 0 for x.
0
Suppose 5*p = 5*l + 78 + 192, 4 = 2*l. Solve p = 19*r - 20 for r.
4
Suppose 5*z = 2*m - 40, m + 3*z = -3 + 1. Suppose -3*j = -j - m, 2*j - 10 = -4*l. Solve l*d = 3*d - 6 for d.
2
Let k be 40 + 5/(-1 + 6). Suppose -6*x - k = -17. Let z be x/(-18) + (-129)/(-27). Solve z*w = w + 20 for w.
5
Let l = -7 - -10. Let j be 3 + 10 + -28 + 10 + 8. Solve 4*m = l*m - j for m.
-3
Let f be (-1)/(-2) + 34748/56. Solve 642 - f = 7*o for o.
3
Let i(z) = -6*z + 4. Let a(o) = 4*o - 6. Let r(v) = -6*a(v) - 5*i(v). Let t be r(-2). Let g be 142/7 - 2/7. Solve g = -0*q + t*q for q.
5
Suppose 0 = -3*v + 9. Suppose -15 = -5*f, 2*f = v*g - g. Solve -5*n - 22 = g for n.
-5
Suppose -5*s = -34 - 166. Suppose 5*u - 5*h - 10 = 0, 5*u + 2*h = -3*h + s. Suppose -2*w + u*x + 5 = 0, -3*w = w - x - 1. Solve w = 3*v - 6 + 3 for v.
1
Suppose -4*z + 45 + 20 = -5*q, 0 = 2*z - 3*q - 35. Suppose 4*n + 30 = 30. Solve n = y - 6*y + z for y.
2
Suppose 0*x = x - 12. Let i(z) = -z**2 + 46*z - 246. Let s be i(23). Let v = s + -280. Solve 0*c + x = v*c for c.
4
Let t(r) = 2*r**3 + 22*r**2 + 47*r + 1. Let c be t(-3). Suppose -u - 24 = -3*u. Solve u*k - c = 14*k for k.
-2
Let b(r) = 6*r**3 - 63*r**2 - 33*r + 34. Let n be b(11). Solve n*s - 52*s = -162 for s.
9
Let p = -251 + 368. Let z be 866/9 - 26/p. Let a be z/44 - 10/55. Solve -2*u - 16 = a*u for u.
-4
Let p = -441 - -459. Solve -7 + 79 = -p*d for d.
-4
Suppose 0 = 4*k - 53 - 31. Let w = -1205 - -1225. Solve -b + w = k for b.
-1
Let t be 5/(-2)*1*-2 - 3. Let p be (-1)/t + 30/(-12). Let z be (-11)/p + 12/9 + -2. Solve 0 = -z*n - 2*n - 5 for n.
-1
Let w(p) = 3*p**2 + 69*p - 13. Let l be w(-24). Suppose 0 = 2*m - y - 27, 4*m = y + l. Solve 15*h - m*h - 2 = 0 for h.
-2
Let h = 525 + -524. Let u be 1 - (-5)/(-5)*h - -4. Solve 11*g = u*g for g.
0
Suppose -w - 5*q + 14 + 23 = 0, -229 = -5*w - 3*q. Solve 0 = -w*n + 18*n - 29 for n.
-1
Let i be ((9 - 5) + -6)/1. Let g be 2*((-113)/i - 0). Let a = g - 108. Solve -4*m + a = -11 for m.
4
Let x(k) = -6*k - 12. Let o be x(-3). Let a be (-4)/(-14)*(-42)/o - -2. Solve -n - n = -a*n for n.
0
Suppose 0 = -12*j - 25 - 35. Let l be 1/j - (-126)/30 - 1. Solve 2*f - 5 + l = 0 for f.
1
Let j be 4/(-5 + -11)*-16. Suppose 4*w - 10 = -m, -3*w + 2*m + 0*m + 13 = 0. Suppose 8*i + w*t - 10 = j*i, -3*i - 2*t = -7. Solve q + i = 4 for q.
3
Suppose -10*j + 5*j = -180. Suppose -j*m = -37*m + 5. Let a be (8/6)/(m/30). Solve a = 2*k - 0*k for k.
4
Suppose 14 = 3*o - 100. Suppose 0 = 38*r - 40*r + o. Suppose -3*d + 0*h = -h - r, 5*h + 10 = -2*d. Solve 3*w + 4 = -d for w.
-3
Suppose 201*p - 2617 + 607 = 0. Solve -722*x + 727*x - p = 0 for x.
2
Let n be ((-96)/9)/(-2 - 8/(-6)). Suppose -4*p = -2*q + 22, -7*q + 3*q + n = -p. Solve t = -q - 2 for t.
-5
Let b(c) = 3*c - 28. Let x be b(10). Suppose x*n + 2*n - 16 = 0. Let v(w) = w - 2. Let k be v(n). Solve 0 = -4*g + k*g - 6 for g.
-3
Suppose m + 16 = 4*a - 4*m, 2*a - 3*m = 6. Let d = 13 - a. Suppose d*s = 53 + 3. Solve 6 = 4*u - s for u.
5
Let m(r) = 2*r**3. Suppose -p - 15 = 2*f, 2*f + 2*p + 9 = 7*p. Let a = -6 - f. Let b be m(a). Solve -13 = -5*x + b for x.
3
Let l = -16298 + 18170. Solve -l*z = -1870*z - 6 for z.
3
Let n = 4311 + -2877. Solve 0 = 4*b - n + 1438 for b.
-1
Suppose 0 = -3*d + n + 371, -46*n + 48*n - 250 = -2*d. Solve d*w + 904 = 11*w for w.
-8
Let h be (-1 - -3)*(-20)/(-4). Suppose -106 - 24 = -h*v. Suppose -3*k + 4*k + 3*z = -v, -k - 18 = 4*z. Solve k*i = -i - 3 for i.
-1
Let d = -21 + 27. Suppose 0 = -3*h + 4*j + 24, 3*h - 4*h + 3*j = -13. Solve 0 = h*p - d*p for p.
0
Suppose 0 = 6*o - 7*o + 4. Let i be 1 + 16/6*6/o. Suppose 0 = -3*h + 4*w + 4, -3 + 23 = i*h - 4*w. Solve 0 = 5*b - h*b - 6 for b.
-2
Let b = -28 - -37. Let c = b - 9. Suppose 4*a = 8, 9 = 3*v - 3*a - c*a. Solve -v - 5 = 2*w for w.
-5
Suppose -v + 485 = 3*x - 0*v, -2*x - 3*v + 314 = 0. Let w = x + -254. Let u = w - -97. Solve -k = -u*k - 15 for k.
-3
Let m(q) = 11 - q**2 - 2*q - 11 + 12*q. Let f be m(0). Solve 2*n + 10 = -f*n for n.
-5
Let o be (-290)/(-25) + -9 + (-188)/(-20). Let r be 2/((-30)/(-3)) + (-245)/(-25). Solve -r*a = -7*a - o for a.
4
Let i(a) = -2*a**2 - 37*a + 223. Let t be i(-23). Solve -t*u + 4 = -28 for u.
2
Let m be ((448/3)/7)/((-1)/(-6)). Suppose 488 = 9*x + m. Solve x = 4*d + 4*d for d.
5
Let p(h) = -3*h**3 - 45*h**2 - h - 5. Let o be p(-15). Solve 249 - 289 = -o*c for c.
4
Suppose 4*s - 2*s + 60 = 4*v, -2*v = -5*s - 22. Solve 67 = v*k + 35 for k.
2
Suppose 13*r - 2819 - 1224 = 0. Suppose 0 = 3*a - 314 + r. Solve -5*s + 9 = -a for s.
2
Let c be 4/18 - (-25)/9. Let o(q) = -q**3 + 9*q**2 + 27*q - 55. Let b be o(11). Suppose 2*w - 3*p + 8 = 0, b = -4*w + 7*w + 3*p - 18. Solve -w*m - 1 = -c for m.
1
Suppose 3*r + r - 160 = 0. Suppose 1263*m - 1572 = 453*m + 689 + 1789. Solve -m*j - 60 = -r for j.
-4
Let p = -98 + 101. Suppose -5*l + 90 = -6*o + o, -p*o = 4*l - 65. Suppose -22 = -3*c + l. Solve -c*q + 8 = -9*q for q.
2
Suppose -3*a = -4*l + 107, -5 - 10 = 3*a. Suppose 32*s = l*s + 9. Solve 2*v = 7 - s for v.
3
Let a(d) = d**3 + d**2 - 1. Let w(s) = 5*s**3 + 9*s**2 + s - 8. Let x(p) = 6*a(p) - w(p). Let z be x(3). Let l be -4 + 8 + z*(4 + -2). Solve -3*q = l*q for q.
0
Let t = -19799 - -20046. Solve 0 = -t*d + 238*d + 36 for d.
4
Let s(k) = k**2 - 42. Let q be s(8). Let a be (10 - q)/((-3)/2). Solve 4*u = a - 20 for u.
-3
Let z be 7 - (-12 + 14 - -4). Let f be (-2 - -20) + (-2 - 0). Suppose -f = -c - z. Solve -4*o = o - c for o.
3
Let i be (-10)/(-8) - (6 - (-115)/(-20)). Let b be 9 + i/(-3)*-3. Solve -y = 13 - b for y.
-3
Let i = 48 - 34. Suppose 0 | {
"pile_set_name": "DM Mathematics"
} |
+ 0*s + s**5 + (2*s**2 + 2 - 2)*(4*s**3 + 0*s**3 - s**3).
-77*s**5
Expand (-z**3 + z**3 + 2*z**3)*(0*z + 2*z + 0*z) + 0 + 0 + 2*z**4 + (4 - 5 + 0)*(-288*z**2 + 294*z**2 + 80*z**4 + 685*z**4).
-759*z**4 - 6*z**2
Expand (-2401*r + 0 + 5273*r + 3471*r + 0)*(-3*r - 3*r - 10*r**2 + 4*r).
-63430*r**3 - 12686*r**2
Expand 6585 - 6585 - 932*q - 4*q + 3*q - q - q + 3*q + 0*q + (-4*q + 3*q + 3*q)*(-2 + 4 - 4).
-936*q
Expand (669 - 2065 + 603 + 645)*(-10*h + h + 3*h).
888*h
Expand -13 + 4*x**2 - 6*x**2 + 16 + (-3*x + 2*x + 2*x + (-3*x + 0*x + x)*(-2 + 5 - 4) - 1 + x + 1 - 6*x + x + 3*x)*(-x - 3*x + 3*x).
-4*x**2 + 3
Expand 18 - 31*j**2 - 20 - 2*j**4 + 2*j**3 + 30*j**2 + (-98733*j + 98733*j - 767*j**3)*(-1 + 1 - j).
765*j**4 + 2*j**3 - j**2 - 2
Expand (78970 - 78970 - 117*z)*(-3*z**3 + 7 - 36*z + 36*z).
351*z**4 - 819*z
Expand (-50 - 73 + 75)*(0*k + 0*k + 2*k)*(-2 - 5 + 1).
576*k
Expand (9*x - 2*x + 0*x)*(4 - x - 4)*(14*x - 354*x**2 - 28*x + 11*x).
2478*x**4 + 21*x**3
Expand (-26 + 30 + h - 5*h)*(188*h**2 - 188*h**2 + 139*h**3).
-556*h**4 + 556*h**3
Expand (-5*f + f + 2*f)*(4 - 3 - 3) + 27*f + 10*f - 215*f.
-174*f
Expand (232 + 157 - 102 + (2 - 3 + 0)*(-1 + 1 + 2) + 2 - 1 + 0)*(2*q - 4*q - 5*q).
-2002*q
Expand 21879 + 335*c**3 - 21832 - 111*c**3 + (-c**2 - c**2 + 4*c**2)*(2 - 2 - c).
222*c**3 + 47
Expand -121 + 119 - 54*r - 11*r + (-1 + 1 + 1)*(-2*r - 3*r + 4*r) + 5*r - 4*r - 2*r + (3 - 3 + 2*r)*(4 - 1 + 1).
-59*r - 2
Expand (6265*s - 40*s + 1635*s + 45*s + 4121*s)*(1 - 1 - s**3).
-12026*s**4
Expand (23*h**3 + 17*h**3 - 54*h**3)*(1 - 2*h - 1)*(-h - 3*h + 2*h).
-56*h**5
Expand (-o**2 + 5*o**2 - 3*o**2)*(1 - 1 - 1) - 4*o**2 - 57*o**2 - 34*o**2 + (0*o + 0*o - o)*(-3 + 0 + 5)*(6*o + o + 0*o + (2 - 4 + 1)*(4*o - 2*o - o)).
-108*o**2
Expand (-2*r + r**2 + 2*r)*(20 - 12 + 26) + 2*r**2 - 2*r**2 - 2*r**2.
32*r**2
Expand (-y + 9*y - 5*y)*(-1 - 1 + 1)*(-115*y + 458*y + 666*y)*(-2*y**2 + 2*y**2 + 3*y**3 + (-3*y**2 + y**2 + y**2)*(-3*y - 2*y + 3*y)).
-15135*y**5
Expand n**2 + 111609*n - 3*n**2 - 111538*n + 1 + 8*n**2 - 2*n**2 - 2*n**2 + (-4*n + 3*n - n)*(-1 - 1 + 4)*(n - 2*n + 0*n).
6*n**2 + 71*n + 1
Expand 13*u - 5*u + 2*u + (2 + 0 - 4)*(4*u - 2*u + 0*u) + 4*u - 17 + 17 + u + u - 5*u.
7*u
Expand 2*o**2 + o**3 - 2*o**2 + (2*o + 0 + 0)*(1 - 1 + o**2) + 0 + 0 + 2*o**3 + (13*o**3 + 33*o - 33*o)*((-1 + 1 + 1)*(-5 - 3 + 6) + (1 - 2 - 1)*(2 - 5 - 2)).
109*o**3
Expand (-3197 + 1613 + 1619 + 55*t)*(14 + 6 - 31).
-605*t - 385
Expand -11*f**4 - 8*f**4 + 13*f**4 + (f**3 - 4*f**3 + 4*f**3)*((f + 0 + 0)*(3 - 4 - 1) - 115*f - 3 + 3).
-123*f**4
Expand (0*o - 4*o - 13*o)*((-o + 0 + 0)*(26*o - 26*o - 17*o**2) - 3*o**3 + 4*o**3 - 3*o**3).
-255*o**4
Expand (6*p**3 - 3*p**3 + 2*p**3)*(11*p - 8*p + 11*p) + (-5 + 0 + 3)*(-3*p**4 + 2*p**4 + 2*p**4).
68*p**4
Expand (2*i**2 + 0*i**2 - i**2)*(2*i + 5*i - 5*i) + 0*i**3 - 2*i**3 + i**3 - 71*i**3 + 7*i**3 + 2*i**3 + 33*i**3 - 5*i**3 - 10*i**3.
-43*i**3
Expand (1 - 1 - 1)*(0*y**2 + y**2 + y**2)*(-2 - 3588*y - y**2 - 3270*y + 5391*y).
2*y**4 + 2934*y**3 + 4*y**2
Expand 1744*r**4 - 895 - 4589*r**4 + 895 + r + 0*r**4 + 8*r**4 - 2*r**4 + (2*r**3 + r**3 - 4*r**3)*(1 - r - 1).
-2838*r**4 + r
Expand ((-3 + 0 - 2)*(-5*d - d + 3*d) + 3*d - 3*d - 6*d)*(6 + 14 + 5)*(-3 + 3 - 2).
-450*d
Expand (-68 - 47 + 14 + (5 + 0 - 3)*(-2 + 0 + 0) + 2 - 4 + 4 + 3 - 1 - 1 + 1 - 1 + 1 + 6 - 9 - 9 + 1 + 1 + 0)*(-4*s**5 + 2*s**5 + s**5).
111*s**5
Expand (-15195*s**4 + 27397*s**4 - 14821*s**4)*(-1 + 1 + 3)*(-4 + 4 + 1).
-7857*s**4
Expand (62 - 92*h**3 - 62)*(-4*h**2 - 22*h + 22*h).
368*h**5
Expand -12343*s - 10689*s + 19600*s + (-3 + 3 - 2)*(4 - 4 + 8*s).
-3448*s
Expand (13 + 537*t**2 + 4*t**3 - 536*t**2 - 5*t**3)*(4 - 2 + 0)*(-1 + 5 + 0).
-8*t**3 + 8*t**2 + 104
Expand (1 - 2*g**3 + 10*g**3 - 2)*(8*g**2 - 4*g**2 + 4*g**2).
64*g**5 - 8*g**2
Expand -2*p**4 + 2*p**5 + 2*p**4 + (4*p - 3*p - 3*p)*(-p**4 - 5*p**4 + 5*p**4) - p**5 + 0*p**4 + 0*p**4 + 3 - 9 + 0 - 7879*p**5 - 8895*p**5 + 6.
-16771*p**5
Expand a - a + 3*a**2 + 39*a - 26*a**2 - 39*a + (-1 + 1 - 2)*(4*a**2 + 0*a**2 - 3*a**2) + 2*a**2 + 0*a**2 - 3*a**2 + (0*a - 3*a + a)*(4*a - 4*a - a).
-24*a**2
Expand (118*w**2 + 207 - 207)*(7*w - 7*w + 2*w**2).
236*w**4
Expand (-26 + 60 + 26)*(992 - x**2 + 4*x - 5*x - 1435).
-60*x**2 - 60*x - 26580
Expand (1 + 0 + 2)*(68 + 68 + 40)*(b**2 - b**2 - 2*b**2) + 0 + 0 + b**2 + (4 + 0 - 3)*(-5*b**2 + 13*b - 13*b).
-1060*b**2
Expand (-2 + f + 2 + (5*f + 0*f - 4*f)*(-2 - 1 + 1) + 3*f + 2*f + 0*f)*(-3*f + 13*f + 6*f)*(2*f**3 + f**3 - f**3).
128*f**5
Expand ((-4 + 1 + 2)*(-97*z - 22*z + 24*z) - z - 8*z - 7*z)*(5*z**2 - 2*z**2 - z**2).
158*z**3
Expand 2*p + 0*p - p + (-6 + 0 + 4)*(2*p - 1 + 1) + (0 - 9 - 11)*(-2*p - p + 2*p) + (-75 - 16 - 17)*(4 + p - 4).
-91*p
Expand ((-1 + 1 + v)*(3*v + 4*v + 7*v) + 3*v**2 + v**2 - 2*v**2)*(-5 + 0 + 0) + (-2*v + 3*v - 2*v)*(-2*v - 4*v + 5*v) + v + 2*v**2 - v.
-77*v**2
Expand (-3*h - 2*h + 6*h)*(-9*h**3 - 6542*h - 6*h**2 + 53*h**3 + 6549*h + 1).
44*h**4 - 6*h**3 + 7*h**2 + h
Expand (-3*j**4 - 19*j**4 - j**4)*(1 - 1 - 3*j) + 12*j**5 + 13*j**5 - 8*j**5.
86*j**5
Expand (-2*x - x + 2*x)*(-1700 + 1700 - 42*x)*(1 - 6 + 3).
-84*x**2
Expand (-12*j**2 - j**2 - 2*j**2)*(-19 + 18*j - 26 + 44)*(2*j**2 - j**2 + 2*j**2).
-810*j**5 + 45*j**4
Expand g**4 - g**2 + g**2 + (-2*g**2 + g**2 + 3*g**2)*(10*g**2 + 0*g**2 - 3*g**2) - 101*g**3 + 34*g**4 + 101*g**3.
49*g**4
Expand (-l + l - l)*((2*l + 2 - 2)*(l - 2*l + 3*l) - 14210*l - 225*l**2 + 14210*l).
221*l**3
Expand (-94 + 94 - 80*a)*(14 - 14 + 12*a + (-1 + 6 - 4)*(-a + 3*a + 0*a)).
-1120*a**2
Expand (773*p**5 + 951403*p**3 - 951403*p**3 + (2*p**3 - 4*p**3 + p**3)*(0*p + 0*p - 2*p**2))*(5 - 4 + 6).
5425*p**5
Expand 2 - 2 + 297*y**3 - 130*y**3 - y**3 + y**2 - y**2 - 1 - 3*y**3 + 1 + (-y**2 - 1 + 1)*(-4*y - 2*y + 4*y) - 2*y**3 - y**3 + 2*y**3.
164*y**3
Expand (3 - 2 + 0)*(0 + 2 + 1)*(298*k**3 - 943*k**3 + 301*k**3).
-1032*k**3
Expand (4*p**5 - 2*p**5 - 4*p**5)*(-859 - 107 + 48) + 4*p**5 - 6*p**5 + p**5.
1835*p**5
Expand (4*i - 2*i - 2*i**3 + i)*(2 + 1 - 4)*(-3 - 2 + 1)*(-313 - 45 - 288).
5168*i**3 - 7752*i
Expand ((-2*c + 0 + 0)*(1 - 1 - c) - c + c - c**2 + 2*c**2 + 0*c**2 - c**2 + (-2 + c + 2)*(4*c - 7*c - 8*c) + 2*c**2 - 2*c**2 - 2*c**2)*(-6 - c**2 - 15 + 24).
11*c**4 - 33*c**2
Expand (-u**3 + 3*u**3 - u**3)*(20 + 12 - 8)*(-2*u - 2*u - u).
-120*u**4
Expand (-6 - 1 + 2)*(6*m - 22 + 39 - 19) - 2*m + 2*m - m - 2*m + 2 - 2 + 4*m + 0*m - 6*m + (4*m - 6*m + 3*m)*(-1 + 1 - 1) - 2*m + 1 - 1.
-38*m + 10
Expand (31*t**2 + 53*t**2 + 39*t**2 - 11*t**2)*(-341 + 175 - 29*t + 167).
-3248*t**3 + 112*t**2
Expand (-2 + 2 + 1)*(4*v**5 - 6*v**5 - 2*v**5) - 168*v**5 + 27725*v**2 - 27725*v**2.
-172*v**5
Expand (982 + 178 + 595)*(2 + 2 - 2)*(4*h - 5*h + 0*h).
-3510*h
Expand (2*l + 1 - 1)*(-1435*l + 33269 - 33270 - 82*l).
-3034*l**2 - 2*l
Expand 11594389*f + 3*f**2 - 11594106*f + 2*f**2 + (-f**2 + f**2 - f**2)*(-2 - 2 + 5).
4*f**2 + 283*f
Expand 2*v**4 + 2*v**4 + 4*v**4 + (-22 + 22 + v)*(-9*v + 3*v**3 + 9*v).
11*v**4
Expand (3 - 2*u - 3)*(23 - 1 + 24) - 2*u + 10*u - 2*u - 1 + 1 - u.
-87*u
Expand -1 - 2*f + 1 + (0 - 4 + 3)*(3*f - f - f) + 3*f - 7*f + 3*f - 402031 + 402031 - 497*f - 2*f - 3 + 5 - 4.
-503*f - 2
Expand 1240*h**2 - 1615*h**2 - 1901*h**2 - 4 - 2*h + (-h + h + 2*h)*(-1 + 1 + 2*h).
-2272*h**2 - 2*h - 4
Expand (1 + 368*d**4 + 317699*d**2 - 317697*d**2 - 3*d + 0)*(-1 - 3 + 3).
-368*d**4 - 2*d**2 + 3*d - 1
Expand -33*t + 2*t + t + 3*t - 2*t - 2*t + (3 - 3 + 2)*(147*t - 76*t - 104*t).
-97*t
Expand (63 + 1 - 4)*(30 + 10 + 2*d**2 + 45 - 28).
120*d**2 + 3420
Expand (1 - 1 - 3)*(13 - 7*w**2 - 13) - 68*w + 67*w + 1 + 0*w**2 - 48*w**2.
-27*w**2 - w + 1
Expand (5*d + d + 0*d)*(1 + 0 + 0) - 14 + 202*d - 198*d - 3.
10*d - 17
Expand (-9 + 5*u**2 - 6*u**2 + 6)*(18 + 23 + 42 - 1).
-82*u**2 - 246
Expand -25*c - 125*c + 201*c + 182*c - 3*c - 2*c + 4*c + (0 + 3 - 1)*(-2*c + 2 - 2) + 5*c + 5 - 5.
233*c
Expand (26772*l**2 + 37677*l**2 - 52816*l**2)*((-l + 0*l + 3*l)*(-l - 4*l + 3*l) - 5*l**2 + l**2 + 2*l**2).
-69798*l**4
Expand (-1 - 3 + 1)*(-6156 + 6156 + 812*q) + 2 - 2 - 2*q.
-2438*q
Expand 2 + 2 - 2 - h + (-7*h + 2*h - h)*(27 - 43 + 38).
-133*h + 2
Expand -5*w**5 - 3*w**3 + 3*w**3 + (w + 2*w**5 - w)*(340 - 445 - 569).
-1353*w**5
Expand 4*j - 4*j + 2*j**2 + (-14*j | {
"pile_set_name": "DM Mathematics"
} |
me?
False
Is 2088509749 a prime number?
False
Is 10383506911 a composite number?
True
Is 228349613 a prime number?
False
Is 267198709 prime?
False
Is 106329317 prime?
False
Is 1635317599 a composite number?
True
Is 27411551719 a prime number?
True
Is 15872522251 a prime number?
False
Is 1858093273 a composite number?
True
Is 244948474609 a prime number?
False
Is 4864693417 a composite number?
True
Is 3042417373 prime?
False
Is 4170488141 a prime number?
False
Is 367352867 a composite number?
True
Is 98869441 prime?
False
Is 36625145 a prime number?
False
Is 1505941403 a prime number?
False
Is 5160438707 prime?
True
Is 5299878479 a composite number?
True
Is 2402074457 prime?
True
Is 830290009 a prime number?
False
Is 29014967 prime?
True
Is 4001551783 prime?
False
Is 400737983 a composite number?
False
Is 84718329041 a composite number?
False
Is 566395561 composite?
False
Is 14777771321 composite?
False
Is 3855303941 prime?
True
Is 85372688941 prime?
True
Is 334776979 a composite number?
True
Is 1307886197 prime?
True
Is 583579597 prime?
True
Is 552283939 composite?
False
Is 69400421309 a prime number?
False
Is 3889019609 a composite number?
True
Is 44279421191 prime?
False
Is 4665755383 a composite number?
True
Is 160765391051 a composite number?
False
Is 3765162457 prime?
False
Is 40387230419 a composite number?
False
Is 12242644121 a prime number?
False
Is 35792140711 a prime number?
False
Is 300291643 a composite number?
False
Is 857174763 prime?
False
Is 4709938309 prime?
True
Is 460805713 a composite number?
True
Is 26070834473 prime?
True
Is 5265245651 a prime number?
False
Is 36095765837 composite?
False
Is 3397815947 a composite number?
False
Is 95071121 a composite number?
True
Is 791772559 a prime number?
False
Is 2881125451 a prime number?
False
Is 112744509637 a prime number?
True
Is 9003179291 a composite number?
False
Is 17604804443 a composite number?
True
Is 81837384403 a composite number?
False
Is 480520247 composite?
True
Is 56979741002 prime?
False
Is 19272101279 prime?
False
Is 638534119 composite?
True
Is 33040379 composite?
False
Is 67603325011 prime?
True
Is 2618150919 a prime number?
False
Is 6587311967 a prime number?
True
Is 64495181 composite?
True
Is 1091768047 a prime number?
False
Is 2042083517 prime?
False
Is 403276897 a composite number?
False
Is 2912647877 prime?
True
Is 162271223 a composite number?
True
Is 4242458899 a composite number?
True
Is 4057185953 composite?
False
Is 9914915765 prime?
False
Is 8509274423 a prime number?
False
Is 2730312121 composite?
True
Is 11397785029 a composite number?
True
Is 2262865543 a prime number?
False
Is 11346631729 a prime number?
True
Is 130701049 prime?
False
Is 3052500247 prime?
True
Is 4267395299 a prime number?
False
Is 116295217 a composite number?
True
Is 251691413 composite?
False
Is 1370657 composite?
False
Is 1552212203 a composite number?
False
Is 26815319659 composite?
False
Is 1110755227 a composite number?
True
Is 619044313 prime?
False
Is 1521048079 composite?
False
Is 23871592841 composite?
False
Is 1440541423 composite?
False
Is 26036395205 prime?
False
Is 88214207339 a prime number?
True
Is 695241213 prime?
False
Is 405932311 composite?
False
Is 5713358909 composite?
False
Is 19194755003 a composite number?
False
Is 1834438937 a composite number?
False
Is 3441323297 prime?
True
Is 57642407 a prime number?
False
Is 2116620633 composite?
True
Is 3666255823 prime?
True
Is 504199789697 a prime number?
True
Is 2863420899 composite?
True
Is 95221085 composite?
True
Is 126586693 a prime number?
False
Is 619036501 prime?
True
Is 383715427 a composite number?
True
Is 1961460091 a prime number?
False
Is 2310130811 a composite number?
False
Is 2877342427 prime?
False
Is 7290690499 a composite number?
True
Is 251333698061 prime?
True
Is 20356706 a composite number?
True
Is 33808788103 prime?
True
Is 770660689 a composite number?
False
Is 2439768203 prime?
True
Is 2287739027 composite?
True
Is 14121473489 a composite number?
False
Is 153501358 a composite number?
True
Is 1823045267 a prime number?
True
Is 2879048077 composite?
False
Is 628305719 composite?
False
Is 602436031 prime?
False
Is 4221661921 composite?
True
Is 19696213469 a composite number?
False
Is 11657712373 composite?
False
Is 23975413559 a prime number?
True
Is 2308097503 composite?
False
Is 8395846169 prime?
False
Is 13662762415 composite?
True
Is 248383301 composite?
False
Is 474023749 a prime number?
True
Is 1231719347 composite?
False
Is 7974097679 a prime number?
True
Is 7436765879 a composite number?
True
Is 2136129371 a prime number?
True
Is 675267899 composite?
True
Is 37231696703 a composite number?
True
Is 585021347 composite?
False
Is 14724689489 prime?
False
Is 112690588213 prime?
False
Is 6591215263 a composite number?
False
Is 22913900323 composite?
False
Is 1555990451 a prime number?
False
Is 404640079 a composite number?
True
Is 7955131417 a prime number?
False
Is 31795288783 a composite number?
True
Is 663541045 composite?
True
Is 16033737893 a prime number?
True
Is 6331410611 a composite number?
True
Is 4155454129 a prime number?
True
Is 14494742429 prime?
True
Is 38833323853 prime?
False
Is 582906749 a composite number?
True
Is 955239619 a composite number?
True
Is 216913927 prime?
True
Is 18384064121 prime?
True
Is 2215245977 a prime number?
False
Is 1683362381 composite?
False
Is 204590627 prime?
False
Is 126792504427 a composite number?
False
Is 2959468601 composite?
True
Is 9408392723 prime?
False
Is 1718294477 prime?
False
Is 7790196643 a composite number?
False
Is 77038878727 a prime number?
True
Is 72931637 composite?
False
Is 16599181 prime?
True
Is 412468201 a composite number?
True
Is 168334209935 prime?
False
Is 113732592227 prime?
False
Is 452860567 a composite number?
True
Is 1286650259 prime?
True
Is 2441863183 a composite number?
False
Is 98047821229 prime?
True
Is 40957691999 prime?
False
Is 4846904053 composite?
False
Is 309285156227 a composite number?
True
Is 1832541839 a prime number?
False
Is 71072330347 prime?
True
Is 5080958603 prime?
False
Is 15031231043 a prime number?
False
Is 136239029 a composite number?
False
Is 48738970961 a composite number?
False
Is 274826663 a prime number?
True
Is 355443019 prime?
True
Is 73676293 a composite number?
False
Is 3885226841 prime?
True
Is 177303677 a composite number?
False
Is 1190870861 composite?
False
Is 604601449 composite?
True
Is 2799748451 composite?
False
Is 688266197 prime?
False
Is 22299152173 composite?
True
Is 2334389359 a prime number?
False
Is 1032686587 prime?
True
Is 186336827 a prime number?
True
Is 629261419 composite?
True
Is 6559160945 a composite number?
True
Is 7489492973 prime?
False
Is 16781287 prime?
True
Is 3571592833 a prime number?
False
Is 31473469 prime?
False
Is 85788024017 a composite number?
False
Is 1132239463 a prime number?
False
Is 200365193 prime?
False
Is 53623300213 prime?
False
Is 16606218679 composite?
True
Is 1410884533 a prime number?
True
Is 1894787339 a composite number?
False
Is 174723959 a composite number?
False
Is 2023529381 a composite number?
True
Is 529077317 composite?
False
Is 67797797 a composite number?
True
Is 203341429 a prime number?
False
Is 200225101 prime?
True
Is 12446918453 a composite number?
True
Is 862515309 a composite number?
True
Is 31302734233 prime?
True
Is 13345310453 a prime number?
False
Is 27629715671 a prime number?
True
Is 394934473 a composite number?
False
Is 1341775901 a composite number?
True
Is 22078357829 prime?
False
Is 562898587 prime?
True
Is 47274138563 composite?
False
Is 32526307579 composite?
False
Is 19723168673 a prime number?
False
Is 51099578507 prime?
True
Is 49352297317 composite?
False
Is 3162057791 composite?
True
Is 345802271 a composite number?
False
Is 31625054413 a composite number?
False
Is 89461892113 composite?
True
Is 17314791341 a composite number?
False
Is 58686791 composite?
False
Is 1222825466 prime?
False
Is 3046663667 composite?
False
Is 4366506569 a prime number?
False
Is 52686862453 composite?
True
Is 5879424757 prime?
True
Is 681548717 prime?
False
Is 21668932739 prime?
True
Is 116672317 a composite number?
False
Is 1770296009 prime?
True
Is 51201625349 a prime number?
False
Is 46225297 a prime numbe | {
"pile_set_name": "DM Mathematics"
} |
Calculate prob of picking 2 k and 1 m when three letters picked without replacement from {m: 3, k: 7, s: 4}.
9/52
What is prob of picking 4 i when four letters picked without replacement from {i: 16, n: 2}?
91/153
Calculate prob of picking 1 h and 1 y when two letters picked without replacement from hyqwyqqqoohhooqhq.
1/17
What is prob of picking 2 t when two letters picked without replacement from {c: 6, o: 1, t: 4, p: 2, z: 1, n: 1}?
2/35
Two letters picked without replacement from {c: 2, d: 8}. Give prob of picking 1 d and 1 c.
16/45
Two letters picked without replacement from {u: 2, l: 9}. What is prob of picking 1 u and 1 l?
18/55
Calculate prob of picking 1 a, 1 g, and 2 t when four letters picked without replacement from {g: 1, j: 8, t: 2, a: 1, w: 2}.
1/1001
Three letters picked without replacement from rrrrrrrrr. What is prob of picking 3 r?
1
Two letters picked without replacement from {w: 4, c: 6, i: 6, s: 2}. Give prob of picking 1 s and 1 i.
4/51
Three letters picked without replacement from {v: 3, w: 4}. What is prob of picking 1 w and 2 v?
12/35
What is prob of picking 4 m when four letters picked without replacement from wmmwwwmwwlwwwlwm?
1/1820
Four letters picked without replacement from {t: 2, f: 3}. What is prob of picking 3 f and 1 t?
2/5
What is prob of picking 2 a when two letters picked without replacement from aaaxaaxaa?
7/12
What is prob of picking 4 n when four letters picked without replacement from {n: 7}?
1
Two letters picked without replacement from {b: 7, p: 8, u: 2, x: 3}. Give prob of picking 2 x.
3/190
Three letters picked without replacement from {q: 2, f: 3, g: 1, b: 6, i: 1}. What is prob of picking 3 f?
1/286
Calculate prob of picking 1 m, 1 x, and 1 d when three letters picked without replacement from {y: 2, o: 7, d: 8, m: 2, x: 1}.
4/285
What is prob of picking 3 t when three letters picked without replacement from bbttbbbbbbt?
1/165
Three letters picked without replacement from {b: 3, q: 6, m: 4}. What is prob of picking 1 q and 2 b?
9/143
What is prob of picking 1 h and 3 g when four letters picked without replacement from {g: 10, h: 2}?
16/33
Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {v: 1, h: 3, m: 3, q: 2, l: 1}.
2/45
Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {z: 7, q: 10, m: 1, n: 2}.
1/95
Three letters picked without replacement from {l: 5, r: 1, x: 3}. Give prob of picking 1 r and 2 l.
5/42
What is prob of picking 1 g and 1 v when two letters picked without replacement from {v: 5, g: 2, q: 1, p: 1}?
5/18
Calculate prob of picking 2 q and 1 u when three letters picked without replacement from {u: 9, q: 7}.
27/80
Two letters picked without replacement from llwllllwqlqonqlwlll. What is prob of picking 1 l and 1 o?
11/171
Three letters picked without replacement from {c: 2, l: 2}. Give prob of picking 1 l and 2 c.
1/2
Calculate prob of picking 3 h and 1 f when four letters picked without replacement from fffhfffhfhfffhfhff.
13/306
Three letters picked without replacement from {d: 9, o: 11}. Give prob of picking 3 o.
11/76
Calculate prob of picking 2 o and 1 s when three letters picked without replacement from {j: 4, s: 2, x: 1, o: 3}.
1/20
Two letters picked without replacement from xixixoix. Give prob of picking 2 i.
3/28
Four letters picked without replacement from vpvpvpvvpvvpvvvpvpv. What is prob of picking 3 v and 1 p?
385/969
What is prob of picking 1 t and 2 z when three letters picked without replacement from {t: 5, z: 2}?
1/7
Three letters picked without replacement from wnononoownwwoonoooo. Give prob of picking 1 n and 2 w.
10/323
Two letters picked without replacement from {i: 2, k: 1, n: 2, e: 1}. What is prob of picking 1 k and 1 n?
2/15
Calculate prob of picking 2 g and 1 r when three letters picked without replacement from {r: 1, g: 12}.
3/13
Three letters picked without replacement from {g: 4, q: 4, u: 2, s: 4}. What is prob of picking 1 q, 1 g, and 1 s?
16/91
What is prob of picking 3 x when three letters picked without replacement from {x: 3}?
1
Calculate prob of picking 1 p, 1 m, 1 f, and 1 k when four letters picked without replacement from mxxkxxxmfp.
1/105
Two letters picked without replacement from fbnnnffnffnfnfeffn. What is prob of picking 1 b and 1 n?
7/153
What is prob of picking 3 i when three letters picked without replacement from {x: 10, i: 9}?
28/323
Calculate prob of picking 1 h and 1 t when two letters picked without replacement from {h: 1, t: 1, k: 1, r: 2}.
1/10
What is prob of picking 3 j when three letters picked without replacement from vjvvvvj?
0
Three letters picked without replacement from nnbnaaan. What is prob of picking 1 b, 1 a, and 1 n?
3/14
What is prob of picking 2 h and 1 f when three letters picked without replacement from {h: 2, a: 5, f: 4}?
4/165
Calculate prob of picking 3 h when three letters picked without replacement from hhh.
1
Three letters picked without replacement from {u: 6, t: 4, c: 9}. Give prob of picking 2 c and 1 t.
48/323
Two letters picked without replacement from feoeooefooses. Give prob of picking 2 f.
1/78
Calculate prob of picking 2 q and 1 m when three letters picked without replacement from {q: 2, f: 1, c: 2, m: 2, s: 1}.
1/28
Three letters picked without replacement from vqqqm. Give prob of picking 1 q, 1 m, and 1 v.
3/10
What is prob of picking 1 y and 2 k when three letters picked without replacement from ykkykkkykyykkk?
45/91
Three letters picked without replacement from {k: 2, v: 1, q: 1, m: 2}. What is prob of picking 2 q and 1 v?
0
Two letters picked without replacement from lfffc. What is prob of picking 2 l?
0
What is prob of picking 2 j and 2 e when four letters picked without replacement from jejeejejeeej?
14/33
Three letters picked without replacement from pxpippipiixpp. What is prob of picking 2 i and 1 x?
6/143
Two letters picked without replacement from {i: 1, v: 3, e: 4, s: 1, r: 2, z: 4}. Give prob of picking 1 e and 1 z.
16/105
Calculate prob of picking 1 g and 2 v when three letters picked without replacement from {g: 5, l: 1, v: 2, q: 3, u: 6, m: 2}.
5/969
Three letters picked without replacement from {g: 2, k: 1, h: 1}. Give prob of picking 1 h and 2 g.
1/4
Three letters picked without replacement from iiiijjiivvjiiiiivii. What is prob of picking 3 j?
1/969
Two letters picked without replacement from {h: 3, u: 6, e: 2, a: 1, j: 6}. Give prob of picking 1 a and 1 e.
2/153
What is prob of picking 1 p and 1 w when two letters picked without replacement from qykpwzp?
2/21
Two letters picked without replacement from uffbugfukgggug. What is prob of picking 1 f and 1 g?
15/91
Two letters picked without replacement from {d: 1, t: 1, m: 7}. What is prob of picking 1 m and 1 t?
7/36
Four letters picked without replacement from yyvyyv. What is prob of picking 4 y?
1/15
Two letters picked without replacement from fffsfllllfslfsmls. What is prob of picking 2 l?
15/136
What is prob of picking 2 n and 1 j when three letters picked without replacement from jtnhhtnhth?
1/120
What is prob of picking 1 c and 2 f when three letters picked without replacement from cifidcficdiid?
3/286
Two letters picked without replacement from {u: 3, c: 6, b: 1, q: 5, d: 1, r: 1}. Give prob of picking 1 b and 1 d.
1/136
What is prob of picking 1 k and 3 y when four letters picked without replacement from sssyyssssshsyhssssk?
1/3876
What is prob of picking 4 f when four letters picked without replacement from {f: 4, e: 1, q: 9}?
1/1001
Two letters picked without replacement from {o: 7}. Give prob of picking 2 o.
1
Two letters picked without replacement from gghhhghghhhgugghg. What is prob of picking 2 g?
7/34
Four letters picked without replacement from viyivyqs. What is prob of picking 1 i, 1 y, 1 v, and 1 s?
4/35
What is prob of picking 1 o and 1 t when two letters picked without replacement from {r: 2, t: 3, v: 1, a: 1, x: 8, o: 1}?
1/40
Four letters picked without replacement from ttttttttt. What is prob of picking 4 t?
1
What is prob of picking 1 r and 2 i when three letters picked without replacement from iqriirrier?
1/5
Calculate prob of picking 2 v, 1 o, and 1 p when four letters picked without replacement from puopvv.
2/15
Calculate prob | {
"pile_set_name": "DM Mathematics"
} |
. Let q = 3 - 3. Is q greater than t?
False
Let z(q) be the third derivative of q**4/24 + 5*q**3/3 - 13*q**2. Let m be z(-9). Which is bigger: 3/5 or m?
m
Let a = -2 - -3. Let h be 3 + -3 + 0 + 5. Let u = a - h. Is u <= -6?
False
Suppose -5*y - 74 = 61. Let s be 33/(-135)*-14 + 6/y. Are s and 3 nonequal?
True
Let h = -4 + -9. Let x = -29 + 27. Let n be x/5*(24 - -6). Is n <= h?
False
Suppose 12 = -l - 4*n, 5*n + 9 = 3*l - 23. Suppose -p - l = -16. Suppose 84*b - 650 = 34*b. Is b at least as big as p?
True
Suppose -38 = -4*f + 46. Suppose -3*t = -4*t + f. Suppose 0 = z - 2*z + g + 6, 4*z - t = 3*g. Which is smaller: -2/3 or z?
-2/3
Let f = -18 + 12. Let w = -7 - f. Let b = -1026/7 - -147. Are b and w nonequal?
True
Let p = -35 + 35. Which is bigger: p or -1/3?
p
Let m = -12 + 3. Let w(t) = t**3 - 4*t**2 + t - 2. Let o be w(4). Suppose -5*f + 20 = 0, -3*k - 26 = -k - o*f. Is m less than or equal to k?
True
Let k = 11/8 - 139/136. Let w be (-2 + 7)*-1*(-7)/7. Suppose 4*u - w*n - 14 = 0, -3*n = -4*u + n + 12. Is k greater than u?
False
Let m = 9.015 - 0.015. Let f = m + -11. Which is smaller: 0.08 or f?
f
Let b be -10 - (-3)/(33/121). Is b > 1/845?
True
Let z = -722/15 + 130/3. Let w = -15 - -9. Which is smaller: w or z?
w
Let w = 15.7 + -15.6. Which is smaller: w or 0.032?
0.032
Let p(u) = u + 7. Let i be p(0). Suppose 101 + 67 = i*j. Let r = j - 19. Which is smaller: r or 8?
r
Let p be ((-30)/1440)/(2/9). Let h(f) = f**3 + 3*f**2 + 4*f + 3. Let k be h(-2). Which is smaller: p or k?
k
Suppose 2*d = -3*d + 25. Suppose -11 = d*g - 6. Is g less than 3?
True
Let d(r) = -r + 4. Let p be d(-7). Suppose 0 = -4*b + j + 33, -b + 4*j = 9*j - 3. Is b <= p?
True
Let a be 40/12 - (7 - 3). Let p(m) = -13*m + 1. Let i(d) = -7*d. Let h(k) = 11*i(k) - 6*p(k). Let v be h(6). Which is greater: v or a?
v
Let i(l) = -2*l**2 - 1. Let n be i(1). Suppose 95 = -6*y + 2*y - a, 4*a = 4. Let d = 29 + y. Is n less than d?
True
Let v = 724.9 + -725. Let d = 6/19 - -33/76. Which is smaller: v or d?
v
Suppose -54 = -3*p + 75. Let r = -36 + p. Let i be ((-12)/(-10))/((-8)/(-40)). Which is greater: r or i?
r
Let z be -1*2*(-25)/10. Suppose 12 = 3*r + z*c, 3*r - 12 = 3*c - 0*c. Let v be (r + -3)/(1/(-5)). Is -2 bigger than v?
True
Let s be 3500/26160 + (-1)/12. Are s and 1 equal?
False
Suppose -3*r = 2*o - 96, 28*o - 5*r - 215 = 23*o. Is o at least as big as 46?
False
Let c be 48*6*(-2)/16. Let u be (-2)/c*(0 + -8). Let h = -4 + 4. Which is greater: h or u?
h
Let t(d) be the first derivative of -d**4/4 + 5*d**3/3 + d + 6. Let p be t(5). Are -0.1 and p nonequal?
True
Let h = 0.92 - -0.08. Let d(u) = u**3 - 12*u**2 + 13*u + 16. Let f be d(11). Let g = f + -13. Is g <= h?
False
Let i = 86.8 + -87.1. Is i smaller than 33?
True
Suppose -51*n = 11*n - 53940. Is n not equal to 870?
False
Suppose 4*q + 300 = -2*v, 0 = 4*q - 0 - 8. Which is smaller: v or -155?
-155
Suppose 5*m = 5 + 5. Let q be 125/m - (-8)/16. Let v be ((-2)/6)/(3/q). Which is smaller: -8 or v?
-8
Let z = -1531 + 1376. Is z bigger than -155?
False
Suppose 5*j - x - 84 = 0, -x = -j + 12 + 4. Suppose h - 4*g = j, 2*g = 2*h + 3*g - 7. Is 6 bigger than h?
True
Let w = 601 - 3024/5. Which is bigger: -5 or w?
w
Let q(v) = 2*v**3 + 4*v**2 + 9*v + 64. Let g be q(-5). Does -131 = g?
True
Suppose 0 = -29*h + 113*h + 84. Suppose -4*p = -0*p + 28. Which is greater: h or p?
h
Let z be 3 - (1063/5 + -1). Let j = z - -208. Let s = -4 - -3. Which is smaller: s or j?
s
Let a be (-1 - 0)*(-2)/2. Let m be (-9*3/(-306))/((-22)/88). Is m bigger than a?
False
Let w(r) = -r**3 - 2*r**2 + 3*r + 2. Let t be w(-3). Suppose -t*s + 1 = -11. Is s >= 7?
False
Let p(m) = 57*m - 7. Let z be p(3). Let a = -1144/7 + z. Let q = 3 - 2. Which is smaller: q or a?
a
Let m = 53 + -72. Which is smaller: m or 0.1?
m
Suppose 151 = 7*o - 80. Which is bigger: o or 131/4?
o
Suppose 18 = 3*w - 3*c, -3*c + 5 = 8. Suppose 3 = f, 66 = -0*y - w*y + 2*f. Suppose -3*k - v = -0*k + 39, 4*k + 52 = -4*v. Do y and k have different values?
True
Let q(t) = -20*t**3 - t**2 - 4*t + 1. Let l be q(3). Let j = 7275/13 + l. Which is greater: 1 or j?
1
Let o(n) = 13*n**2 + 1. Let x = -21 - -22. Let g be o(x). Let b = g + -15. Which is smaller: b or -2/85?
b
Let q be 0 + 1/(-1) + 23. Let f = q - 5. Let j = f - 28. Which is greater: -10 or j?
-10
Let r be 1629/(-27)*3/5. Suppose 0 = -2*c - c + 105. Let z = c + r. Which is greater: z or -2?
z
Suppose 3*w - 4*i - 57 = -15, 4*i - 66 = -3*w. Which is smaller: w or 28?
w
Let w = -38154/65 - -587. Which is bigger: w or -0.5?
w
Suppose 0 = 3*m + 7 - 4. Let d = -14 - m. Is -12 at least as big as d?
True
Let z = -1871 - -39257/21. Let l = 29/77 + -1/11. Let y = z + l. Is 0 at least y?
True
Let p(z) = -z**2 + 3*z + 6. Let d be p(5). Let j(f) = 5*f. Let n be j(d). Is -20 at least as big as n?
True
Let g = 1/2706 + -1491013/18942. Let w = 78 + g. Let x(l) = l**2 - 3*l - 4. Let p be x(4). Is p at least w?
True
Let z(y) = y**3 - 15*y**2 + 11*y + 7. Let g be z(14). Let l be (-4)/(-6)*(-3)/g. Suppose -t = -5*t. Are t and l equal?
False
Let b(w) = -w - 17. Let p be b(8). Let y = p - -26. Let a = -28547/33 + 865. Which is bigger: y or a?
y
Suppose 4*w = s + 14, -3*s + w = 2*s - 6. Suppose -s*h + 0*h = -0*h. Which is greater: h or -3?
h
Let q = -1 + 4. Suppose 2*u - d = -3, u + 12 = -3*u + 4*d. Suppose u = -l + 1 + 1. Which is greater: l or q?
q
Let t(r) = r**3 + 10*r**2 - 3. Let u be t(-10). Which is greater: u or -32?
u
Let a = -218 - -44. Is a at least as big as -176?
True
Let o(z) = -z**3 + 21*z**2 - 2*z + 24. Let l be o(21). Suppose -4*s + 0*s - 5*v = 19, -5*v - 18 = 3*s. Let h be s/l - (-20)/(-90). Is -1 greater than h?
False
Let h be ((-2)/(-7))/((-6)/(-42)). Suppose h*i - 2 = -0. Let k = -246 + 2212/9. Which is smaller: i or k?
k
Let c = 1 - 5. Let q = -6 - c. Let r(g) = 2*g**2 - 17*g - 14. Let h be r(9). Is q bigger than h?
True
Let k(m) = 54*m - 2. Let v be (-2 - 1)/(-3) - 0. Let p be k(v). Which is greater: p or 53?
53
Let t = 3039/2 + -1490. Let h be -24*(30/24)/1. Let n = t + h. Is 0.05 less than or equal to n?
False
Let b = 466 - 708. Let v be b/(-7) + 18/42. Is 34 >= v?
False
Let s be -4 + (-5)/((-1)/4*2). Let t be 84/(-2) + 4/(-2). Let q be (-2)/t - s/(-12). Which is smaller: q or 2?
q
Let a be 2/(-6) + 18/(-27). Let h be (-1)/((-44)/12*a). Suppose 4*q + q = -4*j + 25, -5*j = -3*q + 15. Which is greater: h or j?
j
Let b = -5 - -5. Let o(r) = 2*r - r**3 - 2*r - 18*r**2 + r + 16. Let l be o(-18). Which is bigger: b or l?
b
Let p = 0.2 - 0.3. Let f = -3.1 + 2.8. Let t = f - -0.5. Does t = p?
False
Let b be 3*(26/(-6) - -3) - -17. Let w(d) = -2*d - d + 1 + 0. Let q be w(-4). Is q > b?
False
Suppose -4 - 6 = -2*v. Suppose 3*y + 4*k = v*k - 74, 4*y - 5*k = -117. Which is smaller: y or -24?
-24
Let v = -7.41 - -7.44. Is v less than or equal to 15?
True
Let y(c) = -c**3 + 10*c**2 - 17*c + 6. Let a be y(8). Which is bigger: -3/11 or a?
-3/11
Suppose 108*d + 276 = 39*d. Which is smaller: d or -12?
-12
Suppose -2*w = -0*w - 4. Suppose -2*x + 16 = -0*x - 5*s, w*s = 3*x - 13. Suppose 0 = 2*u + 3*u - 10. Is u at least as big as x?
False
Suppose 6*r + i = 3*r + 44, -60 = -5*r + 5*i. Which is smaller: r or 88/7?
88/7
Let k = 0.54 - -4.26. Let j = k + -83.8. Is 2/7 greater than j?
True
Let v = -21 - -42. Let j = 175 + -173. Which is bigger: j or v?
v
Let l = 150 + -139.15. Let s = l + 0.15. Is s != 2/9?
True
Let u be (-1)/2 - 226/44*-3. Which is greater: u or 15?
15
Let y = -7927/14 + 566. Are -1 and y nonequal?
True
Let x = -23.969 - 0.031. Let b = -18 - x. Do b and -0.3 have different values?
True
Suppose -3*w = 4*k + 515, 19*k - 682 = 4*w + 22*k. Which is greater: w or -168?
-168
Let x = 12.76 + 0.24. Let i = -9617 + 9617. Which is greater: x or i?
x
Suppose 0 = -0*k + k - 69. Suppose k = -2*l - l. Let x = l - -23. Is x at least as big as -2/3?
True
Let h = 0.035 - 0.035. Which is bigger: h or -91?
h
Let n(s) = -s**3 - 11*s**2 - 4*s + 57. Let m be n(-10). Which is greater: 14 or m?
14
Let z be 3/((-3)/(-3 - -6)). Let s be (-2)/z*(-27)/36. Which is smaller: -8 or s?
-8
Let k = 1 - 3. Suppose -6*y = -3*y + 3*t - 6, -2*y + t = -13. Suppose -11 = 5*i + 2*q, -y*i - 19 = -2*q - 0*q. Which is smaller: i or k?
i
Let o(j) = j**2 - 5*j - 15. Let y be o(7). Let | {
"pile_set_name": "DM Mathematics"
} |
7
Suppose -2*d - 4*d + 12 = 0. Suppose d*f - 4*k = 72, 3*k - 9 = -3*f + 99. Calculate the remainder when f is divided by 19.
17
Suppose 3*d = -3*u + 84, 0 = -5*u - 5*d + 6*d + 110. What is the remainder when 35 is divided by u?
12
Let z(r) = 4*r**2 - 31*r - 69. What is the remainder when (-2 - 38*6)/(-1) is divided by z(10)?
20
Suppose 83*c - 84*c + 73 = 0. Calculate the remainder when 214 is divided by c.
68
Let v(u) = 2*u**2 - 4*u - 2. Calculate the remainder when 35 is divided by v(4).
7
Suppose 6*t + 40 = t. Let q = t + 9. Let n = -2 - -4. What is the remainder when n is divided by q?
0
Let a(l) = 8*l**2 - l. Let i be -1 + 3 - (-15)/5. Suppose 3*g = 2*b + 4, -b - 4*g + i = -4. Calculate the remainder when a(b) is divided by 6.
1
Suppose 516 = 20*u + 36. Calculate the remainder when 425 is divided by u.
17
What is the remainder when (4207/21 + -5)*(-21)/(-14) is divided by 120?
53
Let a(c) be the third derivative of c**6/120 - c**5/10 + c**4/12 - 4*c**3/3 - 5*c**2. What is the remainder when a(6) is divided by 2?
0
Suppose -3*l = 2*l - 5. What is the remainder when 231 is divided by l/(((-3)/(-348))/(6/24))?
28
Suppose z + 21 = 4*j, j + 5 = -2*z - 1. Calculate the remainder when -218*(-1 + (3 - j)/(-2)) is divided by 28.
25
Suppose -4 = -f - 12. Let i(v) = v**2 + 4*v - 6. Calculate the remainder when 75 is divided by i(f).
23
Suppose -5*m = -0*m - 45. What is the remainder when 14/(-3)*-3 + 3 is divided by m?
8
Suppose 4*c - 61 = 3. Let i(j) = 2*j**3 - 3*j**2 - 6*j - 8. Let a be i(4). Let b = -18 + a. What is the remainder when b is divided by c?
14
Suppose -3*p + 4 = -p, 0 = -h - 4*p + 10. Let w(i) = 2*i**2 + i + 1. Suppose 5*b = 5*t, 5*b - t - 6 = 6. What is the remainder when w(h) is divided by b?
2
Suppose 2*w = -3*q - 2*w + 146, -2*w - 116 = -3*q. Calculate the remainder when q is divided by 217/14 + 0 + 1/(-2).
12
Suppose 5*w - 3*h + 56 = 263, -2*h = 2*w - 86. Let v(y) = -y**2 + 34*y - 2. What is the remainder when v(28) is divided by w?
40
What is the remainder when 195 is divided by 220/35 + 2/(-7)?
3
Let z(y) = y**2 + 5*y - 8. Calculate the remainder when z(7) is divided by 16/28 - 538/(-14).
37
What is the remainder when 22 is divided by (224/42)/((-2)/(-6))?
6
Let z(u) = 2*u**2 - 5*u - 11. Let j be z(5). Suppose 49 = j*g - 77. What is the remainder when 20 is divided by g?
2
Let z = -693 - -729. Calculate the remainder when 214 is divided by z.
34
Let n(u) = -12*u + 3. Let d be n(-2). Let y = 39 - d. Calculate the remainder when 54 is divided by y.
6
Suppose 2*u = -0*u + 12. Let k be (2 + u)/(1*2). Suppose 4*x = 4*f + 8, 3*f - k = 4*x - 3*x. Calculate the remainder when 13 is divided by x.
3
Suppose 155 = 44*o - 39*o. Suppose -d + 3*h + 77 = 4*d, 0 = -4*d + h + 63. What is the remainder when o is divided by d - 2 - (-9)/(-3)?
9
Let m = 470 - 460. What is the remainder when 69 is divided by m?
9
Let v(n) = 6*n + 2. Let m = -1992 - -2033. Calculate the remainder when m is divided by v(2).
13
Let z(i) = -4*i**3 - 3*i**2 - 6*i + 3. Let c be z(-3). Suppose -82 = -4*m + c. What is the remainder when m is divided by 24?
22
Suppose 2*o - s = 213, -o - 2*s - s = -117. What is the remainder when o is divided by 22?
20
Let g be (-2 + 2)/(5 - 7). Calculate the remainder when ((-138)/(-9) - g)*9 is divided by 35.
33
Let w be 63 + -2*1/((-4)/(-6)). Calculate the remainder when (w/35)/((-2)/(-84)) is divided by 15.
12
Let r(y) = y**2 - 2*y + 26. Let f be ((-10)/3)/(4/(-6)). Suppose -f*c + 3*p = -261, -c + 43 = -p + 5*p. Calculate the remainder when c is divided by r(0).
25
Suppose -2*d = 2*m - 14, 5*m - 17 = 3*d + d. Let o be 2/(d - (3 + -2)). Suppose 15 + 7 = o*t. What is the remainder when 21 is divided by t?
10
Let o = 912 + -881. Calculate the remainder when -4 + 1 - (1 - 94) is divided by o.
28
Let b = 2185 - 1527. Calculate the remainder when b is divided by 44.
42
What is the remainder when 694 is divided by (2/(-1))/(-2) - -138?
138
Let v be (-2)/(-4)*(6 + -2). Suppose -24 = v*z - 3*z. What is the remainder when 4/z*3*10 is divided by 3?
2
Let g be (15/9)/(-1)*24/(-20). Let q(l) = 6*l - 2. Let o = -22 - -51. What is the remainder when o is divided by q(g)?
9
Let s(f) = 3*f**2 + 12*f - 1. Let g be s(-5). Suppose 2*w - 62 = g. What is the remainder when w is divided by 13?
12
Let p(a) = 22*a**2 + a. Let f be p(1). Suppose v - f = -0*v + 3*d, 3*v - 5*d = 61. What is the remainder when v is divided by (-39)/(-52) - 66/(-8)?
8
Let j be 306/(-15) - (-20)/50. Calculate the remainder when 94 is divided by (1 - j/12)/((-3)/(-36)).
30
Let k(p) = 4*p**2 + 73*p - 147. What is the remainder when 133 is divided by k(2)?
13
Suppose -89*m + 79*m + 1350 = 0. What is the remainder when m is divided by 1/(-1) - -9*4?
30
Suppose 3*p - 2*q + 32 = 259, -133 = -2*p + 5*q. Let a = -16 - -56. What is the remainder when p is divided by a?
39
Suppose -9 + 99 = 9*h. Suppose 5*g - 18 = 2*a - 3, 5*a = 4*g + 5. Let k = 33 - a. What is the remainder when k is divided by h?
8
Let v(l) = l**2 + 8*l + 3. Let g be v(-8). Suppose 12 = -g*t - 15. What is the remainder when 4/2 - (9 + t) is divided by 2?
0
Let p = -147 - -196. Calculate the remainder when 244 is divided by p.
48
Suppose 5 - 20 = -3*l. Suppose l*g = 3*g + 18. Suppose -2*f - g = -35. What is the remainder when 37 is divided by f?
11
Let b be (7/(-2) + 1)*6. What is the remainder when (b/(-10))/(3/68) is divided by 18?
16
Suppose 62 = u + 13. Calculate the remainder when u is divided by -3 - (0 + (-3 - -3) + -20).
15
Let j(h) = h**3 - 9*h**2 + h + 11. Let n(g) = 2*g + 41. Let r be n(-16). Calculate the remainder when 75 is divided by j(r).
15
Suppose 525 = 2*q + 5*t, -5*q - 13*t + 1297 = -16*t. Calculate the remainder when q is divided by 49.
15
Let g = 1 + -1. Let t = 6 - g. Let k = -6384 - -6407. What is the remainder when k is divided by t?
5
Let m(s) = 188*s**3 - s + 1. Let t be m(1). Let b = t + -95. Let a = b + -32. What is the remainder when a is divided by 16?
13
Suppose -2*h + 115 = j + 2*j, -h = -3*j - 44. Suppose 5*v = h + 152. What is the remainder when v is divided by ((-28)/(-6))/(17/51)?
13
Let b(d) be the third derivative of -d**6/120 + d**5/60 + d**4/12 + 8*d**2. Calculate the remainder when b(-2) is divided by 3.
2
Let q(k) = -k**3 + 55*k**2 - 56*k + 121. What is the remainder when 261 is divided by q(54)?
1
Let w(i) = 22*i**2 + 4*i - 10. Calculate the remainder when w(-3) is divided by 60.
56
Let c(v) = -v**3 + 5*v**2 + 5*v - 4. Let q = 255 + -219. Calculate the remainder when q is divided by c(5).
15
Let r = -198 + 137. Let o = r + 101. Suppose -6*a - o = -10*a. Calculate the remainder when 37 is divided by a.
7
Suppose 2*i - 3*v = 24, -4*i - i = -4*v - 53. Suppose 4*b + 5*b - i = 0. What is the remainder when 2 is divided by b?
0
Suppose 0 = 2*y + 4, 2*x + 0*y + 320 = 2*y. Let l = 355 + x. What is the remainder when l is divided by 39?
37
Suppose 5*m - 4*c + 3 + 9 = 0, 2*m = -2*c + 6. Suppose m = -6*j + 40 + 332. What is the remainder when j is divided by 13?
10
Suppose 0 = 5*w + 641 - 51. Suppose 2*b = 3*u + 199, -3*b + 23 = -3*u - 172. Let n = u - w. Calculate the remainder when n is divided by 26.
23
Suppose -4*j + 90 = 2*x, 0*x - 3*x + 5*j + 113 = 0. Calculate the remainder when 71 is divided by x.
30
Suppose 0 = -g + n + 29, 3*g - 2*n + 7 = 99. Let o = -20 + g. Suppose j - 3*k = 38, 2*j - 36 = -2*k - 2*k. Calculate the remainder when j is divided by o.
12
Let m(b) = 3*b + 7. Let r(g) = -8*g - 13. Let n(j) = 5*m(j) + 2*r(j). Let l = 17 + -10. What is the remainder when 3 is divided by n(l)?
1
Let x = 11043 - 4140. What is the remainder when 99 is divided by -1 - 5/(-7) - x/(-273)?
24
Let m = -61 - -41. Let c be 15/m + 3/4. Suppose 3*n - 7*n + 68 = c. What is the remainder when 31 is divided by n?
14
Suppose -m + 3 = 2. Let l = 927 + -890. What is the remainder when l is divided by (m/(-2))/((-3)/78)?
11
Suppose -1 = w - f, -5*w = -f - 10 + 3. Suppose w*q - 8 = 0, 5*a = -0*q + 4*q + 534. What is the remainder when a is divided by 14?
12
Suppose 32 = 3*b - 2*b. Suppose 0 = -5*l - 2*v + 21, 5*l + 4*v + 0*v - 17 = 0. What is the remainder when b is divided by l?
2
Let x(u) = -5*u**2 + u - 6. Let y be x(5). Suppose 2*t + 5*r - 116 - 16 = 0, 2*r - 65 = -t. Calculate the remainder when t | {
"pile_set_name": "DM Mathematics"
} |
-0.5, 1/3, 5
Sort -4/11, -16, 2/9.
-16, -4/11, 2/9
Sort -1, 23, 1, 7, 4.
-1, 1, 4, 7, 23
Put 0, -2, -71, 5 in decreasing order.
5, 0, -2, -71
Sort -6, -14, -11 in ascending order.
-14, -11, -6
Put -21, -65, -3 in descending order.
-3, -21, -65
Sort 0, 2, -2/21, -3 in decreasing order.
2, 0, -2/21, -3
Put -7, 15, 5 in descending order.
15, 5, -7
Put -24, -3, 1 in decreasing order.
1, -3, -24
Put -85, 13, 3 in ascending order.
-85, 3, 13
Sort -5, -665, 4.
-665, -5, 4
Put -5, 13, 0, 15 in decreasing order.
15, 13, 0, -5
Put -2, 1, 5, 85 in descending order.
85, 5, 1, -2
Sort -4/7, -3/4, 2, 0.071 in descending order.
2, 0.071, -4/7, -3/4
Put 14, 2, -44, -5 in increasing order.
-44, -5, 2, 14
Sort -1/5, -40/29, -4, -5 in increasing order.
-5, -4, -40/29, -1/5
Sort 28/3, 0.2, -0.7, -2 in ascending order.
-2, -0.7, 0.2, 28/3
Sort -2, 4, -5, 3.
-5, -2, 3, 4
Sort 8/19, 0, 10, 3/4 in increasing order.
0, 8/19, 3/4, 10
Put -47, -2, 1 in ascending order.
-47, -2, 1
Sort 5, 2/3, 0.2 in ascending order.
0.2, 2/3, 5
Put 0.1, -2/17, 2, -428 in ascending order.
-428, -2/17, 0.1, 2
Sort 0.4, 4, -3/5, 3/52 in decreasing order.
4, 0.4, 3/52, -3/5
Sort -5.4, -0.3, 1, -1/7.
-5.4, -0.3, -1/7, 1
Sort -21, 0.08, 0.2 in descending order.
0.2, 0.08, -21
Sort 0, 23, 13 in ascending order.
0, 13, 23
Put 4, -1, -41, 11 in increasing order.
-41, -1, 4, 11
Put 60, 3, -0.1, -1/2 in increasing order.
-1/2, -0.1, 3, 60
Sort -1, 2, -5 in ascending order.
-5, -1, 2
Sort 8, 4, -6.
-6, 4, 8
Sort -2, -7, 5, -1 in decreasing order.
5, -1, -2, -7
Put 39, -2, -4, 5, 4 in increasing order.
-4, -2, 4, 5, 39
Sort -2, -26, -0.4, 0.04, -1.
-26, -2, -1, -0.4, 0.04
Sort -4, -5, -1, 0.
-5, -4, -1, 0
Sort -1, -21, -3 in descending order.
-1, -3, -21
Sort -4, 4, 6, 5 in descending order.
6, 5, 4, -4
Put 0.21, -3/7, 0.1 in increasing order.
-3/7, 0.1, 0.21
Sort 5, 61, 0 in ascending order.
0, 5, 61
Sort -3/7, 33, 0.8, 3.
-3/7, 0.8, 3, 33
Put -1, -5, -16, -0.11 in decreasing order.
-0.11, -1, -5, -16
Sort -21, 30, 5/4 in descending order.
30, 5/4, -21
Sort -104, 0.2, -0.5.
-104, -0.5, 0.2
Put -0.55, 1.9, 5/3 in ascending order.
-0.55, 5/3, 1.9
Put -38, 1, -4 in descending order.
1, -4, -38
Sort -14, 25, 10, -4.
-14, -4, 10, 25
Sort 19, 2/35, -0.5, 5 in decreasing order.
19, 5, 2/35, -0.5
Sort -1, -36, 20, -4 in decreasing order.
20, -1, -4, -36
Put 9, -2.7, -2 in descending order.
9, -2, -2.7
Sort 0.2, 4, -0.01, -1/4, 1 in decreasing order.
4, 1, 0.2, -0.01, -1/4
Put -2/5, 38.9, -3 in ascending order.
-3, -2/5, 38.9
Sort -108, -89, -4 in decreasing order.
-4, -89, -108
Put -5, 8.2, -1/4, 4 in descending order.
8.2, 4, -1/4, -5
Sort 3, -9, -5.
-9, -5, 3
Sort 182, 3, -4 in decreasing order.
182, 3, -4
Sort 0, -5, 1 in ascending order.
-5, 0, 1
Put 1/11, 3/7, 0.28, -3, -2 in increasing order.
-3, -2, 1/11, 0.28, 3/7
Put -2/17, -1/4, 0.4, -4/7 in increasing order.
-4/7, -1/4, -2/17, 0.4
Put 0, -4, -1, -5, 4 in decreasing order.
4, 0, -1, -4, -5
Sort 2, -6, 3, 36.
-6, 2, 3, 36
Put -2/9, -2/5, -16, 0.5 in decreasing order.
0.5, -2/9, -2/5, -16
Put -4, -5/4, -2 in decreasing order.
-5/4, -2, -4
Sort -7, 0, -1, 8.
-7, -1, 0, 8
Sort -3, 4, 27.
-3, 4, 27
Sort -5, 7, 16, -3.
-5, -3, 7, 16
Sort 43, 61, 1, 5.
1, 5, 43, 61
Put 191, 0, 5 in descending order.
191, 5, 0
Sort 3, 1.1, -0.3 in descending order.
3, 1.1, -0.3
Sort 250, 6, -3 in ascending order.
-3, 6, 250
Put 0, 11, 5 in decreasing order.
11, 5, 0
Put -1423, 2/17, -0.1 in decreasing order.
2/17, -0.1, -1423
Sort -3, 5, -8 in descending order.
5, -3, -8
Sort -3, -2, 3, 159.
-3, -2, 3, 159
Put 5, -1, -4, -2 in ascending order.
-4, -2, -1, 5
Sort 1/3, 2.6, 0.4, -4 in increasing order.
-4, 1/3, 0.4, 2.6
Put -1, 4/5, 6, 2/9 in ascending order.
-1, 2/9, 4/5, 6
Sort -4, 2, 5, -235, 1 in decreasing order.
5, 2, 1, -4, -235
Put 2, -0.3, -29 in decreasing order.
2, -0.3, -29
Put -37, 3, 1, 4 in descending order.
4, 3, 1, -37
Put -50, -3, 5, -26 in increasing order.
-50, -26, -3, 5
Put -7, -3, 5, 31 in descending order.
31, 5, -3, -7
Put -11, 0, -4 in decreasing order.
0, -4, -11
Put -437, 0, -1 in descending order.
0, -1, -437
Put -1/6, -5, -90.36 in descending order.
-1/6, -5, -90.36
Sort 4, -145, 8 in descending order.
8, 4, -145
Sort -2, -459, 0 in decreasing order.
0, -2, -459
Put -3, 3, -33, -2 in ascending order.
-33, -3, -2, 3
Put 2, -1, 8, 11, 5 in decreasing order.
11, 8, 5, 2, -1
Sort -20, 0, -2/7, -1, -1/4 in ascending order.
-20, -1, -2/7, -1/4, 0
Sort 4, -0.3, -64/3, -4, -5.
-64/3, -5, -4, -0.3, 4
Sort 5, -0.1, -2.4, 0 in descending order.
5, 0, -0.1, -2.4
Sort 29, -2, -0.1, 2, -39 in decreasing order.
29, 2, -0.1, -2, -39
Sort -3, 17, -4 in ascending order.
-4, -3, 17
Sort 1/47, -4, 1/8, 3, -3.
-4, -3, 1/47, 1/8, 3
Put 2, 4, 87 in increasing order.
2, 4, 87
Sort -697, -2, 0.
-697, -2, 0
Put 5, 2, 3, 0, 28 in decreasing order.
28, 5, 3, 2, 0
Sort 0.3, 3, 21, 2/21, -2/7 in increasing order.
-2/7, 2/21, 0.3, 3, 21
Put -5, -19, 5, 2, -3 in decreasing order.
5, 2, -3, -5, -19
Sort -13, -2, -1, 4, -4.
-13, -4, -2, -1, 4
Sort 1, -5, -24 in descending order.
1, -5, -24
Sort 4, -9, 5, 2, -7.
-9, -7, 2, 4, 5
Put 2/17, 5, -18 in descending order.
5, 2/17, -18
Put -2, -0.9, 3/7, 28 in descending order.
28, 3/7, -0.9, -2
Put 137, 0.4, -5/2 in increasing order.
-5/2, 0.4, 137
Sort -0.4, 0.1, -0.27, 4/57, 1 in increasing order.
-0.4, -0.27, 4/57, 0.1, 1
Put 1, 0.499, -0.4, -4/3, -2/21 in decreasing order.
1, 0.499, -2/21, -0.4, -4/3
Sort 1, -2, 5, 0 in descending order.
5, 1, 0, -2
Sort -28, -77, 2.
-77, -28, 2
Put 1/2, -1/6, -3, -0.9, 1 in decreasing order.
1, 1/2, -1/6, -0.9, -3
Sort 0, -15, -5.
-15, -5, 0
Put 0.3, -2, 11, -5 in ascending order.
-5, -2, 0.3, 11
Sort -1/6, -4/5, -7.
-7, -4/5, -1/6
Sort 3, 1, 2, 45, -2 in descending order.
45, 3, 2, 1, -2
Sort 5, -5, -28, 20, -2.
-28, -5, -2, 5, 20
Sort -3, -1, -6/11, -0.2 in ascending order.
-3, -1, -6/11, -0.2
Sort 4, -33, 5 in descending order.
5, 4, -33
Sort -0.01, -0.062, -8/3 in decreasing order.
-0.01, -0.062, -8/3
Put -1/4, -2, -3/5, 17, -1/8 in ascending order.
-2, -3/5, -1/4, -1/8, 17
Put -0.04, 2, -4, 101 in decreasing order.
101, 2, -0.04, -4
Put -2, -217, 3 in descending order.
3, -2, -217
Sort -4, 0, -29.
-29, -4, 0
Sort 44, -1/7, -0.1, -1, 4 in ascending order.
-1, -1/7, -0.1, 4, 44
Put 4, 3, -1/8, -0.1, 18 in ascending order.
-1/8, -0.1, 3, 4, 18
Sort 4, -7, 8, 3, 5 in descending order.
8, 5, 4, 3, -7
Sort 5, -1, 129 in decreasing order.
129, 5, -1
Put 2/3, 1/8, 3/58, 4/9 in increasing order.
3/58, 1/8, 4/9, 2/3
Put 2/9, -3/8, 0.5, -3/95 in increasing order.
-3/8, -3/95, 2/9, 0.5
Sort 3, -1, 18 in decreasing order.
18, 3, -1
Put -8, -1/4, 1, 1/6 in decreasing order.
1, 1/6, -1/4, -8
Put 0.4, -5/6, -15 in decreasing order.
0.4, -5/6, -15
Sort 10, 62, 5 in descending order.
62, 10, 5
Sort -1, 0.5, -500 in ascending order.
-500, -1, 0.5
Sort -4, 26, 7 in descending order.
26, 7, -4
Sort 4, 624, 1, 1/6.
1/6, 1, 4, 624
Sort -51, -1, 5, 2, -2 in descending order.
5, 2, -1, -2, -51
Sort -4/3, 1/3, -1/8, 1.8 in descending order.
1.8, 1/3, -1/8, -4/3
Sort 9, 1, -4, -9 in descending order.
9, 1, -4, -9
Put 0, -0.2, -3.2, 1/6, 8 in increasing order.
-3.2, -0.2, 0, 1/6, 8
Sort -3, -21, 14 in increasing order.
-21, -3, 14
Sort 0, 137, 0.4 in increasing order.
0, 0.4, 137
Put -971, 5, -2 in ascending order.
-971, -2, 5
Sort 2/19, 4, 28 in decreasing order.
28, 4, 2/19
Sort -112, 1, 0.
-112, 0, 1
Sort 8, 4, 2, 31, -2.
-2, 2, 4, 8, 31
Sort 1, -1, -116 in increasing order.
-116, -1, 1
Put -5, -1/6, -0.2, 8 in decreasing order.
8, -1/6, -0.2, -5
Put -2/13, 0.4, -20, 43 in increasing order.
-20, -2/13, 0.4, 43
Sort 5, -16, 8 in decreasing order.
8, 5, -16
Sort -2, 0.2, -14, -0.5 in descending order.
0.2, -0.5, -2, -14
Put 4, -2, 34 in increasing order.
-2, 4, 34
Sort 2, 4, 2/9, 4/723 in decreasing order.
4, 2, 2/9, 4/723
Sort -759, -1, 0 in decreasing order.
0, -1, -759
Put -1, -6, -16, 4, -3 in descending order.
4, -1, -3, -6, -16
Sort -4, -2, 4, 5, -57 in ascending order.
-57, -4, -2, 4, 5
Sort 17, 15, -3, 1.
-3, 1, 15, 17
Put 409, -3, -7, 3 in increasing order.
-7, -3, 3, 409
Put 0, 5, 17, 1, 4 in descending order.
17, 5, 4, 1, 0
Put 5, 3, -1/10, -1 in increasing order.
-1, -1/10, 3, 5
Put -2, 5, 64 in decr | {
"pile_set_name": "DM Mathematics"
} |
t is the second smallest value in 4511, 5, -0.1, 30/31, -5, 0?
-0.1
What is the biggest value in 4/7, -0.042, 177, -21, 2/3?
177
What is the fourth smallest value in 4/25, 3, -1560, 34?
34
What is the smallest value in -2, -43, 726715, 1/7?
-43
Which is the fourth smallest value? (a) 0 (b) 56449 (c) -60 (d) -5
b
What is the smallest value in 70, -0.4, -166, 0, 4, 5, -0.1?
-166
What is the third biggest value in 123195, 5, -1/5, 1/15, 21?
5
Which is the third biggest value? (a) -0.456 (b) 1/21 (c) 2 (d) 18795
b
What is the third smallest value in -4, -561/5, 2/9, -7, 0.5, -5?
-5
What is the third biggest value in 2, -37/3, -25, 26/7?
-37/3
What is the seventh smallest value in -1.3, 0.3, -2/19, 2/5095, -1, 9, 0.4?
9
Which is the third smallest value? (a) 0.25 (b) -219 (c) 47 (d) 5
d
Which is the third biggest value? (a) -5090/9 (b) -4 (c) -0.22
a
What is the biggest value in -0.033, 7795, -2/7?
7795
Which is the third smallest value? (a) 4 (b) 0 (c) 889389 (d) 77
d
Which is the seventh biggest value? (a) -3/7 (b) 0.1 (c) -0.1 (d) 7 (e) 11 (f) -1319 (g) 0
f
Which is the third smallest value? (a) -1.3 (b) 0.6 (c) 86179 (d) -2 (e) 4
b
What is the third smallest value in -1/7, 95, -3, -0.2, -6/11?
-0.2
What is the biggest value in -3, 2, 3163.8, -31?
3163.8
What is the second smallest value in -0.5, -5/988, -0.1, -3/7, -2, -1, 31?
-1
Which is the third smallest value? (a) 0.4 (b) -46 (c) 16095000
c
What is the third smallest value in -0.11, 7.7, 4, 0.52, 0?
0.52
Which is the fourth smallest value? (a) -553.3 (b) 1.6 (c) -9 (d) 1/2
b
What is the smallest value in 4, -93, -0.069, 8.4?
-93
Which is the second smallest value? (a) -3/2 (b) -6/145 (c) 0.03 (d) 2 (e) -4 (f) 1 (g) 0
a
What is the second smallest value in 9, -41, 5939, -0.16, -0.3?
-0.3
Which is the fifth smallest value? (a) 3/7 (b) -4 (c) 2.0026 (d) 2/37 (e) -2
c
Which is the third biggest value? (a) -0.051 (b) -0.3 (c) -467/128
c
Which is the fourth smallest value? (a) 92 (b) -11/74 (c) 533 (d) -2
c
What is the third biggest value in -33, 3, 11, -1872.3?
-33
What is the biggest value in -1434, -5, -0.9, 2/61?
2/61
Which is the seventh smallest value? (a) 1/9 (b) 23 (c) -1/9 (d) 67 (e) 4/7 (f) 1/3 (g) 0.5
d
Which is the second smallest value? (a) -6 (b) 2 (c) 24760
b
Which is the smallest value? (a) -27/8 (b) -4 (c) -1/122 (d) 2 (e) -0.86
b
Which is the third biggest value? (a) -32 (b) 3.07 (c) -1/6 (d) 254
c
What is the second biggest value in 9, -0.082, 1, -2/13, -4, -7/27?
1
Which is the second smallest value? (a) -1.4 (b) -4 (c) -3 (d) 0.3 (e) -1 (f) -11/4 (g) 0.2
c
Which is the fourth biggest value? (a) -2 (b) 5 (c) 3/8 (d) -114 (e) -2/9 (f) 1/3
e
Which is the seventh biggest value? (a) 2 (b) -0.46 (c) 5 (d) -4/3 (e) 988 (f) 11 (g) -3
g
Which is the smallest value? (a) 1/111 (b) -0.6 (c) -839.2
c
What is the second biggest value in 2, -0.2, -0.02, 4, 66, 461, -5?
66
Which is the fifth smallest value? (a) -0.06 (b) -529/4 (c) -0.1 (d) -38 (e) 4
e
What is the third smallest value in 9.8, 14, 3, 83, 1, 1/2?
3
What is the fifth biggest value in -75/8, 1/4, -4/11, -5, 4, 0.7?
-5
Which is the third biggest value? (a) -0.5028 (b) -0.1 (c) -138 (d) 4
a
What is the third smallest value in 2/27, 94/33, -23.9?
94/33
Which is the third smallest value? (a) 1/2 (b) -3 (c) 43.59526
c
What is the fifth smallest value in -21/1049, -2/19, -1/2, -1, 0.7, -3, -1/8?
-2/19
Which is the biggest value? (a) -8 (b) 123/61 (c) -12/7 (d) 2 (e) -11
b
Which is the third biggest value? (a) -346/11 (b) 6 (c) -0.192 (d) 0.2
c
What is the second biggest value in 215, 46/7, -1/8, 5, 0?
46/7
What is the biggest value in 5, -3/5, 73, -0.5, -5.6, -4, -2/85?
73
Which is the fifth biggest value? (a) 1 (b) 6.6 (c) -0.3 (d) -4 (e) -8
e
Which is the third biggest value? (a) 3/2 (b) -0.4 (c) -1.7 (d) 1 (e) -0.1928
e
What is the third smallest value in 1934, 3/5, -2/509, -1?
3/5
What is the second biggest value in 177, 2, 33, 0.7?
33
Which is the third smallest value? (a) -160 (b) -171 (c) -31
c
Which is the second biggest value? (a) -121 (b) 4 (c) -5.02 (d) 13
b
What is the biggest value in -557/31, 17, -1/4, -1, 6, -0.2?
17
Which is the fifth smallest value? (a) 5/4 (b) -4 (c) -2.6654 (d) 0.2 (e) -3
a
Which is the third smallest value? (a) 5 (b) -3/152 (c) 7/57 (d) 0.58
d
What is the second biggest value in -13, 131, 1582?
131
Which is the smallest value? (a) -0.05 (b) 0.01 (c) -3.5 (d) -0.0421
c
Which is the smallest value? (a) 3/8 (b) 2/9 (c) 2 (d) 0.3 (e) -0.135 (f) 91
e
Which is the third smallest value? (a) 23 (b) -1722.9 (c) 2/7 (d) 7
d
What is the fifth smallest value in -0.4, 46, 7, 80, -0.2, -0.02, 0.2?
7
Which is the third biggest value? (a) -3/8 (b) -3/2 (c) -109.17 (d) 1 (e) 3/7
a
What is the sixth smallest value in 28, 0.1, -156, 16, 0.4, 2/7?
28
Which is the second smallest value? (a) 2 (b) 2049 (c) 3/5 (d) 12 (e) -18
c
What is the third smallest value in 27.86, -22, 8/33?
27.86
Which is the fourth smallest value? (a) 3 (b) -2/1351 (c) 0.22 (d) -7
a
Which is the biggest value? (a) 3/11 (b) 399 (c) -1/32
b
Which is the third biggest value? (a) 2/49 (b) -2/1831 (c) 0.05 (d) 2/9 (e) 0 (f) -1
a
Which is the smallest value? (a) 3/8 (b) -0.1 (c) 1740 (d) -0.2
d
What is the third smallest value in 0.003, -0.3, 3, 2, -1326?
0.003
What is the sixth biggest value in 0, 8/7, 2/9, 0.5, 4, 7, 7.9?
2/9
Which is the third biggest value? (a) 4/345 (b) -57 (c) 308/9
b
What is the third smallest value in -1, 3/5, 14.6116?
14.6116
Which is the smallest value? (a) 1/10 (b) -1/4 (c) 2 (d) 6738 (e) -1/6
b
What is the fifth biggest value in 1/4, 90/17, -1, -3/4, 1/6?
-1
What is the third biggest value in 2, -3/5, 3, 0.0523861?
0.0523861
Which is the second smallest value? (a) 2/3 (b) -2 (c) 20813 (d) 37
a
Which is the fourth smallest value? (a) 5 (b) -0.2 (c) 420/11 (d) 2/7 (e) 2 (f) 1 (g) 0.4
f
What is the fifth biggest value in 0.5, -4, 0.024718, -1/4, 5, 18?
-1/4
What is the sixth smallest value in 228.6, -4, -2/21, -1/14, 8, 9?
228.6
Which is the smallest value? (a) -1028830 (b) -2/13 (c) -0.3 (d) 1.4
a
What is the second smallest value in -5, -198833, 3, -0.0624?
-5
What is the fifth biggest value in -1, 0.5, -2, -0.3, 52/77, -231?
-2
Which is the fourth biggest value? (a) 2 (b) -4 (c) -0.1 (d) 13990.6 (e) 1/3
c
What is the fifth biggest value in 5, 1.4, 4, 1/3, -0.3, 1.5, -23?
1/3
What is the fifth biggest value in -952, -12, -0.12, -0.3, 0.1, -3?
-12
What is the biggest value in 6, -40, 1, 567, -0.2?
567
Which is the third smallest value? (a) -2/7 (b) 0.3 (c) 3 (d) 13 (e) -113158
b
What is the fifth smallest value in 79, -4, 3/5, 2, -2, 25, -20?
2
Which is the fourth biggest value? (a) -111 (b) -0.5 (c) 0.093 (d) 17
a
What is the third biggest value in 2/91, -652/47, 3, 4, 0?
2/91
What is the third smallest value in 0.4, 2, -3/5, -1/3, 1/8, -15, 48?
-1/3
Which is the biggest value? (a) 1 (b) 192 (c) 2/9 (d) 3/2 (e) 0 (f) -3 (g) 2
b
What is the smallest value in 1, 80/67, 8586?
1
Which is the fourth smallest value? (a) -0.3 (b) -62 (c) 2/15 (d) -70/17 (e) -0.2 (f) -3 (g) -2/3
g
Which is the second smallest value? (a) 3959468 (b) 0.1 (c) -3/2
b
What is the fourth smallest value in 2/197, 0.1, 4, -2, -1/4, 1/5, -2/25?
2/197
Which is the fifth smallest value? (a) -3/55 (b) -1/10 (c) 2/9 (d) -0.11 (e) 644 (f) -2/5
c
What is the second biggest value in -0.8, -110.2, 2, -251?
-0.8
Which is the smallest value? (a) -2/13 (b) 4423 (c) -5 (d) -0.2 (e) 0
c
What is the third biggest value in -0.01, -2/11, -12, -1/593, 4, -4, 0?
-1/593
What is the smallest value in 5, -7/3, -438/37?
-438/37
Which is the fourth smallest value? (a) -0.015 (b) 4 (c) -2 (d) -1 (e) -11.1 (f) 2 (g) -1/22
g
Which is the fourth biggest value? (a) -25 (b) -0.03 (c) 0.0058 (d) 0.3 (e) -1 (f) -2/5
f
What is the smallest value in 1, -2, 42696?
-2
Which is the fourth biggest value? (a) 2/5 (b) 3/101 (c) 0.3 (d) 17 (e) -2/3
b
What is the fourth biggest value in 2/13, -3/76, 7/8, -4/7, -0.2, -8?
-0.2
Whi | {
"pile_set_name": "DM Mathematics"
} |
ay 0.108?
24.892
What is 2977 take away 0.044?
2976.956
Add together -8.2 and 34.8.
26.6
What is 226594 + -0.1?
226593.9
-0.5+0.185118
-0.314882
Calculate -1294 - -3.
-1291
What is 173936.5 less than -0.1?
-173936.6
-0.729 + -4.6
-5.329
What is -0.3402 less than -1.05?
-0.7098
Total of -0.02006 and -1649.
-1649.02006
-276226 - 0.4
-276226.4
What is -356.97 take away -0.6?
-356.37
What is the distance between -43.23 and 0.04?
43.27
Add -11 and 149.
138
Subtract -108.5 from -617.
-508.5
Work out 2 + -583.
-581
Sum -45 and -0.8.
-45.8
What is 117.5 + 930.8?
1048.3
What is -15 less than -259?
-244
Work out -2576 - 0.2.
-2576.2
What is the distance between 1 and -0.772457?
1.772457
What is the distance between 0.3 and -0.059?
0.359
What is -65225 - -0.4?
-65224.6
Add together -0.02 and -0.43326.
-0.45326
What is 397 - -84?
481
213+2382
2595
0.2 - 1.54
-1.34
Total of -1.88 and -0.04068.
-1.92068
What is the difference between 4 and 2216?
2212
What is 141724 less than 11?
-141713
Subtract 310 from 19.
-291
What is -0.0037 take away -2?
1.9963
Total of -3.16 and 2.
-1.16
Put together 7 and -90.
-83
What is the distance between 3122 and 36?
3086
Calculate 0.1631 + -12.89.
-12.7269
Work out 79 - 2107.
-2028
What is the difference between -16 and 42335.6?
42351.6
Calculate 18 - -70.69.
88.69
What is -0.05 less than 0.194?
0.244
Subtract 0.2 from -3996.
-3996.2
What is 68.5301 less than 0.13?
-68.4001
What is -0.6647 less than 0.2?
0.8647
What is the distance between 1586.8 and -6.7?
1593.5
What is 1.2105 minus -4?
5.2105
Put together 0.0005 and -0.0559.
-0.0554
-72339 - -5
-72334
Sum -555 and -0.17.
-555.17
What is 0.062035 minus 21?
-20.937965
Put together -31 and -5374.
-5405
5 + 557
562
Total of -4 and 28783.
28779
What is -24253.9 minus 2?
-24255.9
Calculate 1362 + -0.4.
1361.6
Subtract -1795 from -5.
1790
What is -37547 take away -0.4?
-37546.6
What is 220.02 less than -3?
-223.02
Calculate 94 + 186.
280
What is -0.1 plus -1347?
-1347.1
Calculate 733206 + 0.5.
733206.5
What is -0.5 plus -11.5075?
-12.0075
What is 12.84 less than -3?
-15.84
Put together -0.09 and 0.148158.
0.058158
What is -8536 - 1.79?
-8537.79
What is -53342 less than 0.5?
53342.5
-1.25+24
22.75
What is the difference between -5 and 1025.14?
1030.14
What is 0.111 + -21.4?
-21.289
Add together 1 and 163646.
163647
Add -0.4 and -0.05552.
-0.45552
Work out -0.2 + 210413.
210412.8
What is 4596.8 minus -0.03?
4596.83
What is 34 take away 37?
-3
What is 563 less than -23?
-586
Work out 480 + -0.14.
479.86
Add -0.7 and -741.
-741.7
What is 0.0245 + -9?
-8.9755
What is 0.4 plus 1474?
1474.4
What is the difference between -0.04 and -621.1?
621.06
-0.397 - -0.2623
-0.1347
Add -0.587 and 841.
840.413
What is the difference between -308.78 and -5?
303.78
What is -0.1 + 172?
171.9
What is 25.9 less than 1.2?
-24.7
Calculate -0.06 - 133.
-133.06
What is 0.3 + -431179?
-431178.7
What is -4.79 take away -0.053?
-4.737
What is -62 - -41?
-21
Total of -4048 and -0.5.
-4048.5
What is -93 - 28.51?
-121.51
Sum -2.758 and -2.
-4.758
Add -481 and -18.99.
-499.99
Work out -6516 - -2.52.
-6513.48
Subtract 1 from -1165224.
-1165225
Work out 0 - 0.335893.
-0.335893
Work out 8046 + 0.5.
8046.5
-0.3+1087
1086.7
214.9 + 85
299.9
2 - 0.352622
1.647378
Calculate -18 - -0.0519.
-17.9481
74 - 171
-97
Add together -0.5 and 4904.1.
4903.6
What is 14721 less than -7.3?
-14728.3
-3537+-290
-3827
Subtract 3.6 from 1.078.
-2.522
What is -282.54 + 13?
-269.54
What is -378 + -0.6?
-378.6
Calculate -0.0472 + -0.01294.
-0.06014
Work out 5 - -0.044928.
5.044928
Sum 191 and -18.3.
172.7
Work out 37.9915 - 3.
34.9915
What is 2 + -159?
-157
Add together -3 and 0.02556.
-2.97444
What is the difference between -104 and 0.2524?
104.2524
Total of 1087 and 0.02.
1087.02
Calculate 1.4 - -431.5.
432.9
What is the difference between -2989 and 1.2?
2990.2
What is -4.1 minus 68.7?
-72.8
Put together -6.36 and -0.3086.
-6.6686
Calculate 11 - -10330.
10341
What is the distance between 311.01 and 4?
307.01
Total of -0.21642 and 0.5.
0.28358
Work out -4 - -0.94488.
-3.05512
Calculate 0.12 + 17.2.
17.32
1522 + -32
1490
Add together -6.77 and -0.2.
-6.97
Sum -331 and -3.
-334
What is -482.4 - 205?
-687.4
What is -12 take away -393?
381
Add -5 and 0.053447.
-4.946553
Work out 0.27 + 1.2.
1.47
Add together 8873 and 192.
9065
Add 4 and 0.0036.
4.0036
What is 0.5 take away 815?
-814.5
What is 1 less than 5317?
5316
Work out 0.5 - -0.7302.
1.2302
What is the distance between -0.06 and -0.172?
0.112
Sum -0.0584 and 6279.
6278.9416
-108+-1.1
-109.1
Put together -7978.8 and -4.
-7982.8
Subtract -0.04 from -209.
-208.96
-9 - -1.28082
-7.71918
1657+0.5
1657.5
What is -23034 less than 0.5?
23034.5
What is -1699871 less than -2?
1699869
What is -1958528 minus -2?
-1958526
0.3 + -5.4927
-5.1927
-6 - 0.065
-6.065
-4+-8231
-8235
-476 + -0.03
-476.03
29181.5 - -8
29189.5
Put together -39954 and 0.2.
-39953.8
What is -31.6 plus -6?
-37.6
Subtract -125.9 from 4.
129.9
What is -0.1 take away 5.197?
-5.297
Put together -0.1 and -57713.
-57713.1
Total of -1 and -3698.32.
-3699.32
-9.3 + 18.01
8.71
-49015 + 0.3
-49014.7
What is the distance between 0.042 and -0.097?
0.139
Work out -0.3 - 600.
-600.3
Add 0.2 and -3773.
-3772.8
Sum -313.5 and -3.9.
-317.4
-164 - 0.18
-164.18
What is the difference between -92656 and -0.3?
92655.7
What is the distance between 2 and 8462?
8460
-129601 - -5
-129596
What is the difference between 16161 and -0.01?
16161.01
What is 209 - -14.7?
223.7
Add together 4 and -997916.
-997912
What is the difference between 43 and -1.856?
44.856
Total of -2887067 and 0.4.
-2887066.6
0.0302 - 4.13
-4.0998
What is -180.9 + 8?
-172.9
12.86232 + 0.5
13.36232
What is 5.2 - 0.0746?
5.1254
Sum 2.76 and -0.9.
1.86
Work out 0.9 - -0.075223.
0.975223
What is -5747 - 4?
-5751
What is the distance between 4 and -73?
77
What is 4 minus -200587?
200591
Put together -40764 and -3.
-40767
Add together -1.9 and 171160.
171158.1
What is 0.2830573 - -0.4?
0.6830573
What is 89 + -0.012?
88.988
-1.11 - 0.01
-1.12
Add 15216 and 0.05.
15216.05
What is -38462 take away -0.2?
-38461.8
What is -2 plus 18.059?
16.059
Calculate -0.2 + -18206.
-18206.2
Calculate 0.1 + -24651.
-24650.9
What is -623 + 2?
-621
Work out 0.16 - -0.77.
0.93
What is -0.4 plus 592.48?
592.08
Sum 7094 and 1.
7095
-5 + -166.2717
-171.2717
Total of 22 and -0.46396.
21.53604
What is 9.5 - 0.25?
9.25
What is the difference between 27575.4 and 5?
27570.4
What is 59 plus -6042.1?
-5983.1
Subtract -5 from 1037807.5.
1037812.5
Work out 16 + -1.2.
14.8
What is 171 less than 7.1?
-163.9
Total of 0.2782 and 6.
6.2782
-0.3+836
835.7
Add -0.1 and -3.3494.
-3.4494
What is 2 - -223?
225
-1.38 + 10.6
9.22
What is 9.1 less than -1636.8?
-1645.9
Sum 1.1 and -1.53.
-0.43
What is -5 take away 0.7733?
-5.7733
Add together 1.527 and 0.15.
1.677
Work out -4 + 264.
260
What is -0.2 take away -78888?
78887.8
Calculate -279 - 1297.
-1576
Calculate -11 - 10.
-21
Total of -782012.6 and -0.5.
-782013.1
What is -3 less than -1453?
-1450
What is -0.52845 less than 0.2?
0.72845
Put together -1.752 and 0.22.
-1.532
What is 356 take away 0.88?
355.12
What is 232.7 - -11?
243.7
What is 0 minus 18.1983?
-18.1983
Add -0.092 and 70.
69.908
-6495.3+-0.2
-6495.5
53+-447
-394
Calculate 0.092 - -60.
60.092
Work out 1003 + 126.
1129
0.084074 + 0.5
0.584074
Calculate 8 + 20047.
20055
Add together -7 and 5.11.
-1.89
Calculate 346 + 0.9272.
346.9272
Work out -3.1601 + -8.4.
-11.5601
Calculate -674 + -0.14.
-674.14
Total of -3.5 and -499.
-502.5
What is -3 take away -1079.972?
1076.972
What is the distance between -0.3 and 2.38688?
2.68688
What is -7.3 minus 0.1124?
-7.4124
What is -708229 minus 1?
-708230
What is the distance between -85.6 and 5?
90.6
Add together -111 and 2.
-109
Work out -37 + -0.0878.
-37.0878
Work out 0.12 - 0.006503.
0.113497
Calculate 1 - 2935.54.
-2934.54
What is -23070 plus 0.8?
-23069.2
What is the difference between -1301 and 8?
1309
Subtract -20 from 1.
21
What is -50628 less than -0.12?
50627.88
Total of -7 and -916.
-923
-540.2 - -22
-518.2
0.03 - -172
172.03
Add together 0.4 and -21.4.
-21
What is 19599.9 take away -0.16?
19600.06
What is 52 less than 0.119?
-51.881
What is the distance between -0.7 and 429?
429 | {
"pile_set_name": "DM Mathematics"
} |
-2*i + 158*t. Sort 0, i, 2/3, 2, 1/17 in ascending order.
i, 0, 1/17, 2/3, 2
Let s = -19.066 + 0.266. Let v = s - -18.5. Sort 0.1, 1/23, v in increasing order.
v, 1/23, 0.1
Suppose -15*n - 7791 = -7386. Sort 4, n, -3, 5, 16.
n, -3, 4, 5, 16
Suppose -5*t + 350 = 5*w, -5*w + 120 = 3*t - 220. Put w, 0, 0.1, -0.3 in decreasing order.
w, 0.1, 0, -0.3
Suppose -2*h = -3*f + 31, 12*h = 10*h - f - 3. Sort h, -4, 14, -7 in decreasing order.
14, -4, h, -7
Let h be -2*20*(-126)/210. Let r be 0*4*(-2)/h. Put -26, -1, r, 3 in descending order.
3, r, -1, -26
Suppose 0 = -2*k - 5*o + 9, k - 2*o = -4*k + 37. Let z(t) = t**2 + 12*t - 46. Let r be z(-15). Sort r, k, -3 in increasing order.
-3, r, k
Let f(a) = 41*a - 79*a + 37*a - 4 + 16*a**2. Let g be f(0). Sort 0.01, -0.13, g in decreasing order.
0.01, -0.13, g
Let h be -3*(2/(-3) + 2). Suppose -1613 = 43*c + 193. Let l = -586 + 581. Put -2, h, l, c in decreasing order.
-2, h, l, c
Let t = 22 + -22. Suppose 2*w + 10 = t, 3*w = -2*m - 11 - 6. Let v = 141 + -140.8. Put v, -5, m, 1 in decreasing order.
1, v, m, -5
Let c = 2638 - 2638. Let q be ((-44)/(-77))/(2/28). Sort 1, q, c in descending order.
q, 1, c
Let p = 0.6 - 1. Let y = -364 - -367. Let f be ((-1)/(-6))/(y - -5 - 7). Sort p, -0.06, f, 2 in descending order.
2, f, -0.06, p
Let b be 6/9*(-3)/2. Let n be (-1 + -2)/((-54)/(-72)). Let s be n/(-6)*(-10 + 13). Sort b, 11, s in ascending order.
b, s, 11
Let h be 10*((-243)/(-6))/9. Suppose -15*a + h = -24*a. Put 25, -3, a in decreasing order.
25, -3, a
Let z = -0.0509 - -0.5509. Put 77, -0.05, -0.4, z, -4 in decreasing order.
77, z, -0.05, -0.4, -4
Let a be 2/(-16) - 31429/(-424). Put 1/8, -0.8, a, 0.4 in increasing order.
-0.8, 1/8, 0.4, a
Suppose 2 = 10*q - 8*q + 2*x, -2*x + 2 = -3*q. Suppose 3*g + 6 = -4*n - 2, q = -g. Put 6, n, 5 in descending order.
6, 5, n
Let r be (1/4)/(((-595)/140)/(-17)). Let q = 1 + 2. Put q, 2, r in ascending order.
r, 2, q
Suppose 24 = -6*d + 18*d. Suppose 2*c = 131*r - 126*r + 110, -86 = 4*r - d*c. Sort 2, 1, r in descending order.
2, 1, r
Let z be 7/(-42)*(-4)/(-3). Let u be (1 - 1)/((-3)/(4 + -1)). Suppose 4*d + 81 = -0*y + 3*y, -y - 4*d + 27 = u. Put z, y, 3 in decreasing order.
y, 3, z
Suppose 18*r + 10*r = r + 81. Suppose -5*h = 0, -5*h + 21 + 9 = -5*d. Suppose -3 = -w + 1. Sort w, d, r in ascending order.
d, r, w
Suppose -209*c = -208*c + 6. Let l(v) be the second derivative of v**4/12 + 2*v**3/3 - 15*v**2/2 - 2*v. Let g be l(c). Sort 5, 4, -4, g in increasing order.
-4, g, 4, 5
Let q be 3/13*(-2)/3. Let c be -2 + ((-29)/(-7) - 2). Let b = 7 - 7. Put 2/15, q, b, c in decreasing order.
c, 2/15, b, q
Suppose -308*y - 36 = -310*y. Suppose -5*k - 5*i = -20 - 0, 3*k + 5*i = 14. Sort k, 0, -1, y in decreasing order.
y, k, 0, -1
Let z(b) = -34*b - 10. Let g be z(7). Let x be g/(-20) - (-1 + 2/5). Suppose 43 - 4 = x*u. Put -1, -10, 0, u in descending order.
u, 0, -1, -10
Let s be (-5 - -122)/(3/(-2)). Let r = s - -80. Let v = -6 + 7. Put r, v, -2, 0 in ascending order.
-2, 0, v, r
Suppose -305*i + 908 = -78*i. Suppose 5*p - 10 - 5 = 0. Let n(j) = j**3 - 4*j**2 + 2*j. Let k be n(p). Put k, 7, i in descending order.
7, i, k
Suppose -21 = -4*s + 254*x - 249*x, -3*x - 19 = -4*s. Sort s, 3, 2, -3, 25 in descending order.
25, s, 3, 2, -3
Let f(h) = 49*h**2 - h**3 + 13*h - 5 - 37*h**2 - 33*h. Let u be f(10). Sort 1, -1, u.
u, -1, 1
Let d = -455.7 - -387.7. Sort -3/2, d, 1/2 in decreasing order.
1/2, -3/2, d
Let h be (-1 + 3)*(-141)/(-2). Suppose 78946*u = 78987*u - 38 - 167. Sort -2/11, h, u in descending order.
h, u, -2/11
Let b = 0 + 0.2. Let z(p) = -22*p + 5 + 7 + p + 0 + 2*p**2. Let y be z(10). Sort 2/7, b, 4, y in descending order.
4, y, 2/7, b
Suppose -10*f - 864 = 456. Let z = -129 - f. Let i(r) = -r**2 - 6*r - 7. Let x be i(-6). Put x, -4, z in descending order.
z, -4, x
Let g be 82 + (-5 - -2) + -2. Let f = g - 80. Let w(r) = -r**3 + 9*r**2 + 23*r - 7. Let l be w(11). Sort f, 0, -5, l.
-5, f, 0, l
Let o = 0.121 - 0.001. Let p = 0.45 + o. Let f = 0.07 - p. Put -2/9, -0.1, -5, f in increasing order.
-5, f, -2/9, -0.1
Let l be 7*2/7*(10 + -9). Sort 5, -8, -3/4, l in descending order.
5, l, -3/4, -8
Suppose 5*g = -5*k + 10, 0 = -g + 4*k - 23 - 5. Suppose -5*v - 20 = -5*f, -7*v + 3*v - 5*f = -2. Sort v, 8, 0, g in decreasing order.
8, 0, v, g
Suppose -3*j + 0 + 3 = -3*o, -o - 5 = 0. Suppose -3*a = 8 + 4. Let v be (2/4 - 0)/(1/a). Put v, -3, j in ascending order.
j, -3, v
Let y = -7188 + 7881. Put -2, y, -3 in descending order.
y, -2, -3
Let r = 34.004 + -22.004. Let i = 2 + -2.3. Sort i, r, 4 in descending order.
r, 4, i
Let l = 2316 - 11581/5. Sort l, 0.13, -1.
-1, l, 0.13
Let o = 2676 - 2675.8. Put -1.037, -1/8, 2/3, o in decreasing order.
2/3, o, -1/8, -1.037
Suppose 5*u = -3*n + u + 87, -n - 2*u = -31. Suppose 0 = 4*l + l - n. Let k be (-15)/(-10)*l/((-15)/(-8)). Sort 1, k, -5 in ascending order.
-5, 1, k
Let r = 1535091/44 - 34887. Put 4, 5, r in decreasing order.
5, 4, r
Let o = -36 - -44. Let c(s) = 2*s**2 + 55*s + 83. Let f be c(-26). Sort 3, -5, f, o.
-5, 3, f, o
Let x = 0.116 - 0.516. Let m be (1 - -15) + (-20)/(-10). Let t = -21 + m. Sort t, x, 0.1.
t, x, 0.1
Let c = 1.39 + -2.39. Let m be (-2)/8 - 17/(-36). Let v = 1349 + -1349.4. Sort m, v, 2, c in descending order.
2, m, v, c
Suppose -20 = l + 26*g - 31*g, l = 3*g - 12. Put -1, 3, 2, l, -2 in decreasing order.
3, 2, l, -1, -2
Let k(w) = w**3 - 99*w**2 + 265*w + 2212. Let c be k(96). Put 5324, c, 5 in decreasing order.
5324, 5, c
Let u = 30141 + -30187. Sort -158, 3, u in increasing order.
-158, u, 3
Let h = -311 + 269. Suppose 3*u + 22 = 5*c, -4*c + 5*u + 6 = -22. Put -5, h, c in decreasing order.
c, -5, h
Let a be (-1 - -3)/(1 + 8). Let k = -1196508/403 + 2969. Let r = -787/7657 + k. Put 0.2, a, r in decreasing order.
a, 0.2, r
Let l = -86 - 55. Let v be (0 + 0 + 6)*94/l. Put -7, 0, v in ascending order.
-7, v, 0
Let a = 1.224 - 1.197. Sort -1/86, 0, a in decreasing order.
a, 0, -1/86
Let x = 887/17 - 10661/204. Put x, 0.5, 126 in descending order.
126, 0.5, x
Let q(p) = -p. Let w be q(4). Suppose 5*v - 290 = -4*t - 295, -5*t - 16 = 3*v. Sort w, -9, -3, v in ascending order.
-9, w, -3, v
Suppose -y + 2*h + 454 = -45, -3*y + h + 1482 = 0. Let r = y + -492. Sort -10, -3, r in increasing order.
-10, -3, r
Let t = 26.28 + 2.3. Let j = 0.58 - t. Let b = 31 + j. Put b, 2, -3 in decreasing order.
b, 2, -3
Let w = 100 - 34.4. Let u = w + -65.1. Sort 0.4, 2, u.
0.4, u, 2
Let q = 0.82162 + 0.07838. Sort 0.05, 0, -3, q in ascending order.
-3, 0, 0.05, q
Let c = 205039 - 205119. Let t = -1 + 0.6. Put c, t, 2 in ascending order.
c, t, 2
Let z(k) = -k**3 - 27*k**2 + 57*k - 27. Let p be z(-29). Suppose -232*s = -230*s - p. Sort 3, 8, s in descending order.
8, 3, s
Suppose 0 = 5*o + 2*w + 44 + 33, 14*o - 3*w = -293. Put -12, o, -1, 0, 2 in increasing order.
o, -12, -1, 0, 2
Let t = 3.943 + -4. Let r = t + 0.357. Let b be 9/12*4/2. Sort b, -9, r in ascending order.
-9, r, b
Let v = 688 + -684. Let j = -859/3 - -287. Put j, 0, v, -8 in decreasing order.
v, j, 0, -8
Let l = 16.892 - 16.7. Let c = -0.192 + l. Put c, -10, -5 in descending order.
c, -5, -10
Let s(f) = 14*f + 27. Let q be -8 + 0 + 2 + 0. Let o be s(q). Let g = -66 - o. Put 1, -2, g in descending order.
1, -2, g
Let h = 0 + 0.06. Let q = -81.694 - -82. Let b = 4.694 + q. Sort -4/3, h, b in ascending order.
-4/3, h, b
Let z be 2/(-4)*(-5 + 1). Let q(c) = -7*c - 11. Let b be q(-2). Let d be (2/b)/(5/(-15))*1. Sort d, z, 0 in ascending order.
d, 0, z
Suppose -30583*u + 30596*u = -104. Suppose y + 3*m = m - 7, 4*m + 4 = 0. Put y, u, -4 in ascending order.
u, y, -4
Let d be (2*1)/(2 + -3). Let u(g) = g**3 - 28*g**2 + 193*g - 665. Let t be u(20). Suppose 0 = -3*k + k + 2. Sort -1/7, k, d, t in decreasing order.
k, -1/7, d, t
Let y be 1263/27 + (-158)/18 + 9. Suppose -54 = -7*v - y. Put -1/6, 3, v, -1 in descending order.
3, v, -1/6, -1
Suppose 2*x + x = -y - 71, -2*x + 4*y = 66. Let g be -4 - 0 - 2/(10/x). Sort g, -5, -17, 0 in decreasing order.
g, 0, -5, -17
Suppose -104*a - 379 = 76*a + 881. Put -5, -21, -3, a in decreasing order.
-3, -5, a, -21
Let y = 32791/6 + -5466. Sort 17, 0.1, -5, y in decreasing order.
17, 0.1, y, -5
Suppose -3 = 17*u + 82. Let s be (4 - -36)/8 + u. S | {
"pile_set_name": "DM Mathematics"
} |
4870*k + 928200 = 0.
-210, -68, -1, 13
Let -4*c**5 + 5358788*c**4 + 26794008*c**3 + 42870448*c**2 + 21435232*c = 0. Calculate c.
-2, -1, 0, 1339702
Factor 3*w**2/5 - 8526*w + 2377872/5.
3*(w - 14154)*(w - 56)/5
Factor 5*r**2 + 26527715*r.
5*r*(r + 5305543)
Factor -8*g**2 + 81427628*g - 122141424.
-4*(g - 10178452)*(2*g - 3)
Determine s so that -81*s**3 + 23095*s**2/4 - 72557*s/4 + 4641 = 0.
91/324, 3, 68
What is g in 565*g**4 + 6325*g**3 + 10705*g**2 - 5445*g - 12150 = 0?
-9, -2, -135/113, 1
Solve -2*z**4 - 890*z**3 - 88672*z**2 + 1593728*z - 6610944 = 0 for z.
-269, -192, 8
Solve -289*r**5 - 1097078*r**4 - 1032410749*r**3 + 16605243540*r**2 - 66208436100*r = 0.
-1906, 0, 135/17
Let -3*n**4 - 139692*n**3 + 13289274*n**2 - 398436948*n + 3619385289 = 0. What is n?
-46659, 17, 39
Factor 121*b**3/5 + 220935748*b**2/5 - 160680592*b/5 + 29214656/5.
(b + 1825916)*(11*b - 4)**2/5
Factor 2*y**4/9 - 46604*y**3/3 + 6405960*y**2 - 882854448*y + 40584439872.
2*(y - 69492)*(y - 138)**3/9
Suppose -6*g**4 - 16153404*g**3/5 - 2174395173798*g**2/5 + 11307275542296*g/5 - 434895834456 = 0. Calculate g.
-269226, 1/5, 5
Suppose -5*v**5 + 120940*v**4 - 733133670*v**3 + 21855503240*v**2 + 180135636875*v + 323902975020 = 0. What is v?
-4, -3, 37, 12079
Determine y, given that -2*y**2 - 2138*y - 564300 = 0.
-594, -475
Let -6704*h**2 + 19900*h + 636 = 0. Calculate h.
-53/1676, 3
Let 2*c**4/17 - 60268*c**3/17 + 1204472*c**2/17 + 2650032*c/17 = 0. Calculate c.
-2, 0, 22, 30114
What is m in m**2 - 520621*m + 34877118 = 0?
67, 520554
Solve j**4 + 70*j**3 + 1309*j**2 + 4920*j = 0.
-41, -24, -5, 0
Find z such that z**3/2 + 33307*z**2/2 - 15112422*z = 0.
-34191, 0, 884
Solve -5*l**2 - 132075*l + 924770 = 0.
-26422, 7
Factor -t**3/4 - 903714*t**2 - 816698993796*t.
-t*(t + 1807428)**2/4
Determine g so that -2*g**3/9 - 2696*g**2/9 - 64994*g/3 - 231504 = 0.
-1272, -63, -13
Let 2*t**5/5 - 68*t**4/5 + 608*t**3/5 - 192*t**2 = 0. What is t?
0, 2, 12, 20
Determine m so that 2*m**2 + 57224902*m + 57224900 = 0.
-28612450, -1
Let -3*d**2 + 64791864*d = 0. What is d?
0, 21597288
Find y such that 490*y**3 + 960946*y**2 + 2372382678*y/5 + 16372087326/5 = 0.
-34197/35, -7
Factor 722*t**3/7 + 149591028*t**2/7 - 31492872*t/7 + 1657520/7.
2*(t + 207190)*(19*t - 2)**2/7
What is i in 16155*i**4 - 290780*i**3 - 180*i**2 = 0?
-2/3231, 0, 18
Factor -4*n**3 + 29261376*n**2 - 53514257838336*n.
-4*n*(n - 3657672)**2
Let 4*v**3 + 1110904*v**2 - 23330668*v + 22219760 = 0. What is v?
-277747, 1, 20
Determine h so that 2*h**5/11 + 42162*h**4/11 + 217734058*h**3/11 - 4303632062*h**2 + 139187164620*h/11 + 186744809200/11 = 0.
-10645, -1, 4, 206
Factor -y**3 + 1228*y**2 + 120311*y - 371958.
-(y - 1319)*(y - 3)*(y + 94)
Factor -p**3 - 3696*p**2 - 29495*p + 33192.
-(p - 1)*(p + 9)*(p + 3688)
Factor -r**3 + 1310*r**2 - 239541*r - 6822900.
-(r - 1083)*(r - 252)*(r + 25)
Determine c so that 85*c**4/2 - 22275*c**3/2 - 68365*c**2 + 186300*c - 10720 = 0.
-8, 1/17, 2, 268
Suppose -320*x**5 + 4749200*x**4 + 8314420*x**3 - 34734645*x**2 + 30057615*x - 8015220 = 0. What is x?
-4, 3/4, 14843
Factor -5*k**3 + 467000*k**2 - 40591155*k.
-5*k*(k - 93313)*(k - 87)
Solve -2*z**2 - 7121372*z - 28485456 = 0.
-3560682, -4
Let h**2/3 - 722147*h/3 - 240716 = 0. What is h?
-1, 722148
Factor 2*d**4 - 3916*d**3 + 827594*d**2.
2*d**2*(d - 1717)*(d - 241)
Determine n, given that 56*n**3 - 10364*n**2 + 70140*n - 59832 = 0.
1, 6, 2493/14
Factor 2*c**2/5 - 28674*c/5 - 230032.
2*(c - 14377)*(c + 40)/5
Determine d, given that -3*d**4/7 - 7617*d**3/7 - 3876912*d**2/7 - 559241280*d/7 = 0.
-1915, -312, 0
Factor -5*z**5 - 53255*z**4 - 212660910*z**3 - 377342054740*z**2 - 251023178891800*z.
-5*z*(z + 2545)*(z + 2702)**3
Determine c so that -c**4/2 + 4148*c**3 + 66423*c**2/2 + 37377*c - 74736 = 0.
-6, -3, 1, 8304
Factor a**2/4 + 44405*a/4 + 665175.
(a + 60)*(a + 44345)/4
Find u, given that -2*u**5/9 + 132*u**4 + 14008*u**3 + 1170620*u**2/9 + 950350*u/3 = 0.
-83, -5, 0, 687
Factor -2*a**2 - 731026*a + 2193096.
-2*(a - 3)*(a + 365516)
Factor -i**2/4 - 2190477*i/4 - 15333143.
-(i + 28)*(i + 2190449)/4
Suppose 3*y**3/5 - 38211507*y**2/5 + 24335347868217*y - 851735303024781/5 = 0. Calculate y.
7, 6368581
Find p, given that 4*p**2 - 39872*p - 1963332 = 0.
-49, 10017
Find w such that w**2/2 + 12154489*w/2 + 24308970 = 0.
-12154485, -4
Factor 3*u**3 - 7671*u**2 - 138807*u - 625725.
3*(u - 2575)*(u + 9)**2
Let 6*g**5/5 + 253632*g**4/5 + 23295492*g**3/5 + 511701816*g**2/5 - 1094304666*g/5 + 111810744 = 0. What is g?
-42180, -47, 1
Solve -2*f**3/3 - 10700*f**2 + 1564294*f - 59403260/3 = 0 for f.
-16195, 14, 131
What is j in -4*j**3/5 + 1120996*j**2/5 + 2242004*j/5 + 1121004/5 = 0?
-1, 280251
Determine a so that a**4/7 - 242*a**3/7 - 607407*a**2/7 - 149389600*a/7 - 445409536 = 0.
-368, -23, 1001
Factor 2*u**3 + 457302*u**2 - 1829232*u + 1829240.
2*(u - 2)**2*(u + 228655)
Suppose -3*o**5/7 - 2397*o**4/7 + 14562*o**3/7 + 57768*o**2/7 - 22080*o = 0. What is o?
-805, -4, 0, 2, 8
Let -15*k**2 + 1133633448*k - 226726689 = 0. Calculate k.
1/5, 75575563
Determine f, given that -4*f**3/7 + 7284*f**2/7 + 12372480*f/7 - 22544047600/7 = 0.
-1759, 1790
Solve -3*l**2 + 27708*l + 1533015 = 0.
-55, 9291
Factor -2*j**2/13 + 45586*j/13 - 14427024/13.
-2*(j - 22472)*(j - 321)/13
Factor -5*r**2 - 148327480*r - 1100052066157520.
-5*(r + 14832748)**2
Factor 2*r**3/5 + 31712*r**2/5 - 200934272*r/5 + 54602510336.
2*(r - 2552)**2*(r + 20960)/5
Solve -180014*c**2 + 720030*c/13 + 8/13 = 0 for c.
-1/90007, 4/13
Suppose -v**2 - 6876*v - 1770944 = 0. Calculate v.
-6608, -268
Find j such that -305*j**2 + 881420*j + 86700 = 0.
-6/61, 2890
Solve -5*c**5 - 25530*c**4 - 6096645*c**3 + 67635097200*c**2 - 35092362888000*c = 0 for c.
-3345, 0, 792
Factor q**2/4 + 33926147*q + 1150983450265609.
(q + 67852294)**2/4
Factor -2*q**2/11 + 263085088*q/11 - 8651720440995968/11.
-2*(q - 65771272)**2/11
Let 4*d**2 + 75016216*d + 75016212 = 0. Calculate d.
-18754053, -1
Let -2*x**5 - 712*x**4 - 95978*x**3 - 6158180*x**2 - 188632000*x - 2216864000 = 0. Calculate x.
-130, -73, -40
Factor -a**3/6 - 1970*a**2 + 102778*a - 4012736/3.
-(a - 26)**2*(a + 11872)/6
Let -2*p**3/15 + 7232854*p**2/15 - 5786278*p/3 + 7232846/5 = 0. What is p?
1, 3, 3616423
Solve 2*d**4/3 - 8870*d**3/3 + 253392*d**2 - 15753352*d/3 - 16522400/3 = 0 for d.
-1, 38, 50, 4348
Determine s so that -2*s**4/15 - 650696*s**3/15 - 5855812*s**2/5 - 33182792*s/15 - 3253210/3 = 0.
-325321, -25, -1
Factor 2*o**3/21 - 115923352*o**2/7 + 5039333827093464*o/7.
2*o*(o - 86942514)**2/21
Factor -q**3/3 + 1162*q**2 + 165117*q + 5751288.
-(q - 3624)*(q + 69)**2/3
Factor -98*v**3 + 350777728*v**2 - 200444392*v + 28634912.
-2*(v - 3579364)*(7*v - 2)**2
Factor -14*i**2/3 + 904*i - 1930/3.
-2*(i - 193)*(7*i - 5)/3
Factor 3*v**2 - 74614224*v + 463940201926848.
3*(v - 12435704)**2
Solve j**3/6 + 13355*j**2/6 + 1064852*j + 129736218 = 0.
-12863, -246
Factor 2*k**2 - 1227886*k + 2455764.
2*(k - 613941)*(k - 2)
Suppose 12*n**5/5 + 369*n**4 - 768*n**3/5 - 46503*n**2/5 + 95634*n/5 = 0. Calculate n.
-154, -23/4, 0, 3
Let 2*t**3 - 396394*t**2 + 19642412710*t - 137477466350 = 0. Calculate t.
7, 99095
Determine l, given that 5*l**3 + 1314055*l**2 + 7884115*l - 9198175 = 0.
-262805, -7, 1
What is k in 140*k**4 - 47734*k**3 + 3520088*k**2 + 96513906*k = 0?
-1473/70, 0, 181
Factor -m**3/4 - 69131*m**2/4 - 34555*m/2 + 345650.
-(m - 4)*(m + 5)*(m + 69130)/4
Suppose -15*i**3 + 7025*i**2 + 54590*i + 71400 = 0. What is i?
-6, -5/3, 476
Factor 2*l**2 - 106934604*l - 106934606.
2*(l - 53467303)*(l + 1)
Factor 5*c**2 - 104269830*c + 543609872411445.
5*(c - 10426983)**2
Factor 269*u**3/4 - 2157*u**2/4 - 3218*u + 60.
(u - 12)*(u + 4)*(269*u - 5)/4
Determine l, given that -2*l**2/3 + 135708*l + 11401040/3 = 0.
-28, 203590
Factor 2*o**3 + 10682*o**2 - 386514*o + 3387510.
2*(o - 21)*(o - 15)*(o + 5377)
Determine s, given that 573*s**2 - 2270817*s + 71334 = 0.
6/191, 3963
Factor 4*x**3 + 327144*x**2 - 327148*x.
4*x*(x - 1)*(x + 81787)
Factor 2*m**2 - 78488*m - 14747194.
2*(m - 39431)*(m + 187)
Suppose -2933*i**4 + 481014*i**3 + 970495*i**2 + 486216*i - 332 = 0. What is i?
-1, 2/2933, 166
Solve -2*z**2/11 + 1783924*z/11 - 76705034/11 = 0 for z.
43, 891919
Find k, given that -2*k**4/11 + 136 | {
"pile_set_name": "DM Mathematics"
} |
in 6, -0.026, -2/335, -1, 1?
-1
Which is the nearest to 5? (a) -90 (b) -0.5 (c) 11 (d) 0 (e) 5
e
Which is the closest to -4382? (a) 2/7 (b) 1 (c) 15 (d) -1/11
d
What is the closest to -3 in -2/7, 0.189, 1/3, -1/518?
-2/7
What is the closest to 0.1 in -0.1, 0.7, 2, -9/59, 656, -0.2?
-0.1
Which is the nearest to -0.1? (a) 6 (b) 68 (c) 46 (d) -3 (e) 3
d
What is the closest to 5 in 0.3, -3, 6, -903, -2/7, 2/43?
6
Which is the nearest to -0.1? (a) -3 (b) -5/4 (c) 0.5 (d) -3/8 (e) -13870 (f) -0.25
f
Which is the closest to -10/19? (a) 26 (b) -0.2 (c) -0.4 (d) -2.6 (e) -5
c
What is the closest to -0.4 in 9/5, 0.052, -3/10, -0.338?
-0.338
What is the closest to 0.84 in 2/19, -3/7, 2/929?
2/19
Which is the nearest to 0.2? (a) 5 (b) -0.2 (c) 4 (d) -0.042 (e) 745
d
What is the nearest to 13.03 in 2, -2, -2/7, 3, 2/187?
3
What is the closest to 2 in -2, 0.2, 0, 11, -0.22, -27/16?
0.2
What is the nearest to 0.3 in -534/5, 2/3, -42?
2/3
What is the nearest to -0.1 in 1/3, 5048, 0.37, -0.2?
-0.2
Which is the closest to 8? (a) 29 (b) -1 (c) -0.3 (d) 0.5
d
Which is the nearest to 6/5? (a) 1/3 (b) 0.0617 (c) 5/41
a
What is the closest to 1 in -1, -1.3, 2769, 51?
-1
Which is the closest to 117? (a) 11 (b) -4 (c) -1 (d) -94 (e) 1
a
What is the closest to 1 in -1, -0.3, -14, 207/7, 2/185?
2/185
Which is the closest to -12.9? (a) 3 (b) 5 (c) 1 (d) -2 (e) 0.004
d
What is the closest to -1 in -1/3, 3/5, 1350, -17/2, 13, 0?
-1/3
Which is the closest to 1? (a) -1047/4 (b) 0.0226 (c) -3
b
What is the nearest to 196.2052 in 0, -1, -5?
0
Which is the nearest to 0.2? (a) -1500 (b) -0.2 (c) -0.3 (d) 0.0507
d
Which is the nearest to 1/5? (a) 1 (b) -144 (c) 1/16096
c
What is the closest to 326 in 6, 1/55, -0.2, -5, -2, 4/7?
6
Which is the closest to 128001? (a) -1/7 (b) -3 (c) 14
c
Which is the closest to 7? (a) -11151 (b) 0.04 (c) -5 (d) 3/5 (e) 3 (f) 4
f
Which is the nearest to -4242? (a) -51 (b) 0 (c) 2/7 (d) -5 (e) -2/25
a
Which is the nearest to -12? (a) 1.25 (b) -0.2 (c) -0.1 (d) -4 (e) 9
d
Which is the nearest to 2/53? (a) 1 (b) -0.3 (c) -5 (d) -3/7 (e) -6.54
b
What is the closest to 6 in 1714, -1.2, -1/5, 0.06, 11?
11
Which is the closest to -2? (a) -0.121 (b) 0.2 (c) -416
a
What is the nearest to -2/7 in -1, -2/5, 2/9, 0.4, 0.082153?
-2/5
Which is the closest to -0.02? (a) -5 (b) 0 (c) 1 (d) -1/10 (e) -11120 (f) 2/3
b
What is the closest to 1/5 in 435, -2, 4, -54, 0.2, -1/3?
0.2
What is the closest to -1 in -14, -8, 3, -9, -11?
3
Which is the closest to -45? (a) -401 (b) 28 (c) -11
c
What is the nearest to 4 in 3/2, -6, -70, 6.3, -2/11?
6.3
Which is the closest to -8? (a) 2429 (b) -6 (c) -0.4
b
Which is the nearest to -155? (a) 0.4 (b) -0.1 (c) 5/8 (d) -2 (e) -10/7 (f) -4
f
What is the closest to -18 in 2/15, 3/5, -3150?
2/15
What is the closest to 0.2 in -0.5, 26/5, 5, -4, -1.657?
-0.5
What is the nearest to 2014 in -5, 3, 0.2, -3, -6?
3
Which is the closest to -15668? (a) -1 (b) -2/7 (c) -21
c
Which is the nearest to 1/3? (a) -4 (b) 4/9 (c) -0.4 (d) 0.114
b
What is the closest to -0.13 in -0.26, 8, 1/4, -4, -226, 3/7?
-0.26
What is the closest to -2/5 in -4/7, 4, 8444, -1, 0.034?
-4/7
What is the nearest to -1 in -0.3, -0.15, -11.75, -1, 5/3?
-1
Which is the nearest to 57? (a) 1/2 (b) 2/221 (c) 5
c
What is the closest to -0.02 in -2, 11790293, -1/4?
-1/4
Which is the nearest to 17? (a) 28 (b) -38 (c) 0.5 (d) 251
a
Which is the closest to -5? (a) -2/3 (b) 2.7 (c) -2/9 (d) 3/7 (e) -0.01388 (f) 14
a
Which is the nearest to 0? (a) 5 (b) 575 (c) -1/2 (d) -0.225 (e) -1
d
Which is the closest to 0.192407? (a) 0 (b) -5 (c) -0.5
a
Which is the nearest to -2/7? (a) -8 (b) -5 (c) 216569
b
What is the closest to 38 in -1, -0.06, 5, -5, 1/3?
5
What is the closest to -1/4 in 4/7, -0.07, 0, 42?
-0.07
What is the closest to 0.0878 in -4/3, -2/3, 4, 2/9, 0?
0
What is the nearest to -0.1181 in 49, 2045, 0.5?
0.5
Which is the closest to 1? (a) 512 (b) 10 (c) -292/7
b
What is the nearest to 3/4 in 4, -9866, 2?
2
What is the nearest to -1.96 in 7264, 0.08, -2?
-2
What is the closest to -4 in -2/13, -0.1, -38, -3/4, 0.01, -3?
-3
What is the closest to 45794 in 0, -0.5, 1/11?
1/11
What is the closest to -1/12 in 60, -2/7, -0.05, -124/11?
-0.05
What is the closest to 3/7 in 4/5237, -13, -4/3, -2/5, -2?
4/5237
Which is the nearest to 459? (a) -0.3 (b) 3 (c) -0.0042 (d) -4/23 (e) 2/7 (f) -2
b
Which is the closest to -3333/4? (a) -4/7 (b) -0.1 (c) 2
a
Which is the closest to -5? (a) -29002 (b) -49 (c) 1/5
c
What is the nearest to 436 in -186.6, -0.21, -1/4?
-0.21
Which is the nearest to -0.092? (a) 9 (b) -1/4 (c) 0.3 (d) -28/45 (e) -7
b
What is the closest to 96 in -0.4, 0.3, 2/5, 300?
2/5
Which is the nearest to 1/6? (a) 3/7 (b) -5 (c) 24/25 (d) -3 (e) 2/415
e
Which is the closest to -0.1? (a) -535 (b) -63 (c) 3/8
c
What is the closest to -12/313 in 2, -1/10, -2, 3.4?
-1/10
What is the nearest to 23 in -3728, 84/31, 1?
84/31
What is the closest to -1 in 4, 111/8, 1/4, 20?
1/4
What is the closest to -0.5 in 3, -1551.4, 10, 36?
3
What is the nearest to -3 in 2901/10, 4, -1/5, 1, 38?
-1/5
What is the nearest to -451 in 45, 2/7, 0.1, -0.1, -57, 0.4?
-57
What is the closest to -2/3 in 55/7, 1/3185, 1/8, 9?
1/3185
What is the closest to 46/7 in 4/7, -1390, 13?
4/7
Which is the nearest to -0.1? (a) -39/32 (b) 1/2 (c) -2.76
b
What is the nearest to 2.04853 in -0.1, 0, 7, 2/13?
2/13
Which is the nearest to -0.1? (a) 0.1 (b) -1/9 (c) -194 (d) 3/88
b
What is the nearest to -2 in 6, -0.02, 1680?
-0.02
Which is the nearest to -0.428? (a) -1 (b) -285 (c) 0.5
a
What is the closest to 19 in 0.252, 5, 2, 2/3, 0?
5
Which is the closest to -1? (a) -4/317 (b) 3/2 (c) 1739
a
Which is the closest to 4/11? (a) -0.5 (b) -0.08 (c) -1.1 (d) -3.1 (e) 2/7
e
Which is the closest to -1? (a) 1.3 (b) 1/20 (c) 2 (d) 578 (e) 4
b
Which is the closest to 9191? (a) 26 (b) 5 (c) 2 (d) 1/2 (e) -3
a
Which is the nearest to -0.1? (a) -2/3 (b) -2 (c) -526858
a
What is the nearest to 0.019 in 0, -25, -356/3?
0
Which is the nearest to 0.2? (a) 1/5 (b) 6 (c) -356 (d) -0.2
a
What is the closest to 3 in 4, -101/18, 1006?
4
What is the closest to 2/5 in -12/11, 2/22883, -11?
2/22883
Which is the nearest to -2/9? (a) -214 (b) 5 (c) 7 (d) 1.1 (e) -1/7 (f) -1/5
f
What is the closest to 0.1 in -0.19, -43916, -33?
-0.19
What is the nearest to -3.381 in 0.2, -8/7, 9?
-8/7
What is the closest to 2 in -3.5, 156, 1/11, 4, -1/7?
1/11
Which is the nearest to -1/3? (a) -0.5 (b) 35.71 (c) -1/3 (d) -7
c
What is the closest to -0.07 in 18, -26/5, -0.4, 4.6, -0.2?
-0.2
Which is the nearest to -3? (a) 3/7 (b) 1 (c) -52095
a
What is the closest to -1/5 in -11, -3/2, 549/5, 3, -10, -5?
-3/2
Which is the nearest to -0.6? (a) -89 (b) -1/2 (c) 0.06
b
What is the closest to -6 in 405, 2/7, 448, -3/5?
-3/5
Which is the nearest to -1? (a) 3 (b) 1.706 (c) 4 (d) -0.3
d
Which is the closest to -1? (a) 7/2 (b) -4 (c) 0.4 (d) -2.74 (e) 0.157
e
What is the nearest to 26/15 in -16512, 2, 4, 0?
2
What is the closest to -4 in 0, -5, 0.1, -1/90708?
-5
What is the nearest to -2/9 in 5, -611.64, -2, -0.08?
-0.08
Which is the nearest to -56? (a) -2/7 (b) 0.5 (c) 0.9 (d) -5 (e) -30 (f) 2.2
e
Which is the closest to 0? (a) 1/3 (b) 15 (c) 1/5 (d) -19/5 (e) -0.3 (f) 24
c
What is the closest to -10 in -1/3, 0.2, 240/11, 0.4, 2?
-1/3
Which is the nearest to -5? (a) 116.6 (b) -0.5 (c) -767
b
What is the nearest to 81 in -4/3, -1/4, 22?
22
Which is the nearest to -0.1? (a) -2/27 (b) -0.2 (c) 5 (d) 0.3 (e) 2/15 (f) 1
a
Which is the closest to 0.3? (a) 264 (b) -3/718 (c) -1/13
b
Which is the nearest to 42? (a) -1 (b) -146 (c) -0.1 (d) -36 (e) 1
e
What is the nearest to -0.2 in -0.38, -4, -13, 12, 1.7, 4?
-0.38
What is the closest to 24886 in 202, 4/5, 5/3, -0.5, 2/3?
202
What is the nearest to -4/5 in 0.09, 3, -2111?
0.09
Which is the closest to 102189? (a) -0.4 (b) 0 (c) 2/57
c
Which is the nearest to 3/5? (a) 2/13 (b) 3/8 (c) -18 (d) 5 (e) 2247
b
Which is the closest to -5/8? (a) -12 (b) 929/6 (c) 13
a
What is the closes | {
"pile_set_name": "DM Mathematics"
} |
sqrt(1452)))) + sqrt(1452) - sqrt(1452))*6).
-68*sqrt(5)/55
Simplify -3*(-1 + sqrt(68) - (sqrt(51)/(sqrt(9)/sqrt(3)))**2) - ((3*sqrt(272))**2 - (-3 + sqrt(153))**2).
-2232 - 24*sqrt(17)
Simplify -5 + (5 + -1*(((-1 + sqrt(80) + sqrt(80))*6 - (-1 + sqrt(80) + 0))*6 + -5))**2.
-21120*sqrt(5) + 350075
Simplify 3*1*(5 + (sqrt(189)/(sqrt(7) + sqrt(7)*-3 + sqrt(7))*6 + -5)*4)**2.
6480*sqrt(3) + 47331
Simplify -1*(4*-1*(-2 + 5*(sqrt(1088) - (sqrt(1088) + 3))))**2.
-4624
Simplify 5*(2*((-5*sqrt(153)*-2)**2 - sqrt(153)) + 4 + (sqrt(153) - (sqrt(153) + -1)*-5)**2).
-930*sqrt(17) + 180685
Simplify (-5*-3*4*(-2 + 2*sqrt(99) + -4*-1*sqrt(99)))**2*3.
-777600*sqrt(11) + 38534400
Simplify (1 + 1 + (sqrt(147) + -4 + (-3*sqrt(147) - sqrt(147)))**2 + (-3*sqrt(147) + 4)**2 + 2)*-1.
-2682
Simplify 5*(((((4 + sqrt(612) - sqrt(612)) + -1)**2 - sqrt(612)) + -3 - (-3 + sqrt(612) + 0 + sqrt(612)*-4)) + 0).
45 + 60*sqrt(17)
Simplify (sqrt(9) - ((sqrt(729)*1 - sqrt(9)) + sqrt(9)))/(-1*sqrt(27) - sqrt(3)) + 5 + sqrt(363)*-1 + -5.
-9*sqrt(3)
Simplify 6*(1 + -5*((-2 + (sqrt(1872)*2 - sqrt(1872)) - (2*sqrt(1872) + 3)) + 1))**2.
15120*sqrt(13) + 283446
Simplify -2*(-5 + (2*sqrt(475))**2 + -2 + -6*(sqrt(475) + 1 + sqrt(475))**2 + -1) + 1.
240*sqrt(19) + 19029
Simplify (-2*sqrt(110)/sqrt(2) - (sqrt(55) + sqrt(495)*1) - ((sqrt(330) - -2*sqrt(330))*1)/sqrt(6))/(-2*1*sqrt(99)*3*5).
sqrt(5)/10
Simplify 0 + ((sqrt(243) - (sqrt(243) - (sqrt(243)*-1 + 5))) + -5 + 4)**2 + -3 + ((sqrt(243) + -1)*-6 - (-5*(sqrt(243) - sqrt(243)*-2))**2).
-54413 - 126*sqrt(3)
Simplify (1 + 5 + (sqrt(1300) - sqrt(1300)*-1)**2)*3*-3 + 4.
-46850
Simplify -1*(2 + 3 + 5*(sqrt(12)/(sqrt(576) + (sqrt(576) - sqrt(576)*-2) + sqrt(576)) + -2)).
-sqrt(3)/12 + 5
Simplify -3*(-2 + ((-5 + sqrt(180) + -1 + 3)**2 - ((sqrt(180) + -2 + 4 + sqrt(180))**2 + sqrt(180) + -5)))*-3.
-4788 - 810*sqrt(5)
Simplify 5*(-5 + (6*((sqrt(209) - -2*sqrt(209)) + sqrt(209)) - (sqrt(209) - ((sqrt(209)*2*-4 - sqrt(209)) + sqrt(209))))/(-2*sqrt(891)*2))*-4.
25*sqrt(19)/3 + 100
Simplify -4*((-1 + sqrt(128) + 2)**2 - (-2*sqrt(128) + -2)**2)*-5*-5.
4800*sqrt(2) + 38700
Simplify 1 + sqrt(448)*1 - (sqrt(252) + (sqrt(252) - (sqrt(252) + (1*sqrt(252) + sqrt(252))*1)))**2 - (sqrt(378)*-6)/(-4*sqrt(6)*-2).
-251 + 41*sqrt(7)/4
Simplify ((sqrt(180)*2 - sqrt(180))/sqrt(10))/sqrt(576) + (-1*(1*sqrt(160) + sqrt(160)) + sqrt(160))/(sqrt(15)/sqrt(3)*-6).
19*sqrt(2)/24
Simplify -3 + sqrt(76)/((sqrt(144) - sqrt(4))*-6 - sqrt(4) - sqrt(4)) + -3 + (4 + 3 + sqrt(171))**2.
1343*sqrt(19)/32 + 214
Simplify -4*(sqrt(17) + 2) + sqrt(17) + sqrt(51)/(sqrt(6)/sqrt(2)) + 5 - (sqrt(17) + -6*sqrt(612) - ((3 + sqrt(17))**2 + -1)).
22 + 39*sqrt(17)
Simplify ((sqrt(6)/(5*(sqrt(3) - sqrt(108))) + (sqrt(2) - -1*sqrt(2))*1 + -1*sqrt(4)/sqrt(2))*-6)**2 + -5.
38347/625
Simplify ((sqrt(91) - (sqrt(91) + 4*sqrt(91)*1)) + (-3*sqrt(91) - sqrt(91))*2)/((sqrt(70)*1*5)/sqrt(10)*-4).
3*sqrt(13)/5
Simplify (6*3*sqrt(133)*-1*6)/(sqrt(567)*6 + -1*sqrt(28)).
-27*sqrt(19)/13
Simplify ((sqrt(208)*-6*-6*-4 - (-2*sqrt(104)*1 + sqrt(104) + sqrt(104))/((sqrt(392) - sqrt(392)*2) + sqrt(8)))*6)**2.
155271168
Simplify -3 + (sqrt(132)/(sqrt(3)*-2) + 1*sqrt(396) + sqrt(396))/(sqrt(12)/sqrt(75) + sqrt(576) + (sqrt(576) - -1*sqrt(576))).
-3 + 55*sqrt(11)/362
Simplify (2 + (sqrt(396) - (1*sqrt(396) + sqrt(396)))*-6 + -5 - -1*((sqrt(396) + 0 - sqrt(396))*2 + -2*sqrt(396) + -4))**2.
-336*sqrt(11) + 6385
Simplify -4 + (((sqrt(468) - sqrt(468)*1*-6) + sqrt(468))/sqrt(9))/(3*-4*sqrt(64)).
-4 - sqrt(13)/6
Simplify 3*sqrt(13)*2 + 2 + 3 - (sqrt(52)/(sqrt(44)/sqrt(11)) + 5*sqrt(117)).
-10*sqrt(13) + 5
Simplify (2*(sqrt(45) + -3*sqrt(45)))/(-4*sqrt(324) - sqrt(9)) - (-1 + 6*(sqrt(720) + 1)*6).
-10796*sqrt(5)/25 - 35
Simplify 0 + 2*(sqrt(54) - sqrt(6))/sqrt(3) + 0 + 2*4*(1 + sqrt(72) + 1).
16 + 52*sqrt(2)
Simplify 4*(3*(-2*-1*sqrt(2736) + (sqrt(2736) - (sqrt(2736) - (-1 + sqrt(2736))*-3)**2) + sqrt(2736)) + 2)*-4*-3.
-6304944 + 48384*sqrt(19)
Simplify -5 + (5 + 4*(sqrt(245) + 4*(sqrt(245) + 0) + (sqrt(245) - (sqrt(245) + 0)) + 5) + 1)**2.
7280*sqrt(5) + 98671
Simplify (3*5*5*(sqrt(1575) - sqrt(1575)*4)*2)**2.
318937500
Simplify -2 + (-4 + (2*sqrt(931))**2 + -4 + 2 + (1 + sqrt(931))**2 - 6*(-3 + (-5*(sqrt(304) - 2*sqrt(304)))**2)).
-40934 + 14*sqrt(19)
Simplify -5*(sqrt(20)/(sqrt(8)/sqrt(2)) + sqrt(5) - (5 + sqrt(5)*1)**2 - (-1*sqrt(405) + sqrt(405) + 5 + sqrt(405))) + -3 + -2.
170 + 85*sqrt(5)
Simplify -4*(5 + (sqrt(3168)*-3)/sqrt(11)*-4 + 1)**2 + 4.
-166028 - 6912*sqrt(2)
Simplify 3*6*(-2 + sqrt(19)*-1)*4 - (3*-1*-2*(sqrt(475) + 1 + sqrt(475)))**2.
-68580 - 792*sqrt(19)
Simplify 3 + ((sqrt(36)/(2*sqrt(12)))**2 - (4 + sqrt(363)) - (sqrt(6) + 6*sqrt(294))/sqrt(2)*-1).
-1/4 + 32*sqrt(3)
Simplify (sqrt(1377)*3 - (sqrt(425)*3 + sqrt(425))**2 - sqrt(204)/((sqrt(108) - (sqrt(108)*-2 + sqrt(108)))/sqrt(9) - sqrt(12))*-2)*-2.
-58*sqrt(17) + 13600
Simplify ((sqrt(475) - (-3 + sqrt(475) + -3)**2)*5 - ((1*((sqrt(475) - -3*sqrt(475)) + sqrt(475)) - sqrt(475) - sqrt(475))**2 + 1))*5.
-34155 + 1625*sqrt(19)
Simplify ((sqrt(630)*2*6 - 2*(-3*sqrt(630) - sqrt(630)))/((2*sqrt(110)*-2)/(sqrt(66)/(sqrt(24)/sqrt(4)))))**2.
1575
Simplify 2 + -1*(-2 + (-1 + sqrt(76) + (-2*sqrt(76))**2 - sqrt(76)) - (-3 + ((sqrt(95) - 2*sqrt(95) - sqrt(95) - sqrt(95))/sqrt(5) - sqrt(19)) + 5)).
-297 - 4*sqrt(19)
Simplify -1 + (-5*1*sqrt(13)*-1 + 2 - (sqrt(65) + 4*(sqrt(65) + sqrt(65) + sqrt(65) + (sqrt(65) + (sqrt(65) - -2*sqrt(65)) - sqrt(65))))/(sqrt(80)*-2)).
1 + 65*sqrt(13)/8
Simplify (((sqrt(637) + sqrt(637)*-2)*-1 - (sqrt(637) + 1 - sqrt(637))*-5)*3*-6)**2 - (-2 + (-1 + (sqrt(637) + -1)**2)*-6 + -1).
22596*sqrt(13) + 218313
Simplify 4 + -1*(((sqrt(180) + 1)*3 + sqrt(180))**2*-5 - (-4*(sqrt(180) + -1) - 6*(sqrt(180) - (sqrt(180) + 0 + sqrt(180)))**2))*3.
2088*sqrt(5) + 40111
Simplify (((-1*sqrt(153) - sqrt(153)) + 5)*6 - (-1*sqrt(153) + 5 + 0 + -1*sqrt(153)))**2*1 + -3.
-1500*sqrt(17) + 15922
Simplify -4 + (((-3*(sqrt(448) - (1 + sqrt(448))) - 2*(1 + sqrt(448) + sqrt(448) - sqrt(448))) + -2*sqrt(448)*1 + 4)*-6)**2.
-11520*sqrt(7) + 258944
Simplify 5*(-2 + -3*(sqrt(567)*-1)**2 - (-5 + sqrt(28)*-4 + -5)).
-8465 + 40*sqrt(7)
Simplify (-2*-1*(-2 + sqrt(208) + sqrt(208)*-2*1 + -6*(sqrt(208) + 0) + 0)*-3*-5)**2.
100800*sqrt(13) + 9176400
Simplify ((sqrt(95) + (-1*sqrt(95) + sqrt(95))*-5 + sqrt(95) + 6*-1*sqrt(95))/(sqrt(20)/((sqrt(32)*2)/sqrt(8) - sqrt(4))) + -3)**2.
24*sqrt(19) + 313
Simplify (-2*(sqrt(1715) - 1*(sqrt(1715) + 2*sqrt(1715))))/(sqrt(120)/((sqrt(60)*-2)/sqrt(10))).
-28*sqrt(7)
Simplify -1*(((((sqrt(126) + (sqrt(126) - -1*sqrt(126)))/sqrt(6))/sqrt(7) + 2)**2 - -5*sqrt(15)/(sqrt(180)/sqrt(4))) + 3).
-34 - 41*sqrt(3)/3
Simplify ((-4 + 2*sqrt(176))**2 - 1*(sqrt(1584) + -1)) + (sqrt(6655)*-3 - sqrt(6655))/(sqrt(320) + (sqrt(320)*3 - sqrt(320))).
-467*sqrt(11)/6 + 721
Simplify 6*4*(-5*1*(2 + sqrt(684))**2 - (sqrt(684) + 0 + 4 + 5)).
-82776 - 3024*sqrt(19)
Simplify ((sqrt(156) - sqrt(156)*1)*-3 + (sqrt(156) + -2*sqrt(156))*6)/(3*2*(-4*sqrt(12) + sqrt(12))*-5).
-sqrt(13)/15
Simplify ((((sqrt(528) + -3*sqrt(528)*3 - sqrt(528)) + sqrt(528) - sqrt(528)) + (sqrt(528) - sqrt(528)*-3*1))/((-1*sqrt(528))/(sqrt(147)*1)))**2.
3675
Simplify -4 + -5*((3*sqrt(448) + -2 - ((sqrt(448) + 2)*-5 + sqrt(448))) + 1) + -4.
-280*sqrt(7) - 53
Simplify 4 + (0 + sqrt(1008))*5 + (sqrt(77) - -4*(sqrt(77) + 1*sqrt(77) + sqrt(77)))/(sqrt(66)/(sqrt(6)*-1)).
4 + 47*sqrt(7)
Simplify (-3*sqrt(190)/(sqrt(1000) + sqrt(1000)*2))**2 - ((sqrt(684) - (-6*((1*sqrt(684) - sqrt(684))**2 - sqrt(684)) + sqrt(684))) + 2).
-181/100 + 36*sqrt(19)
Simplify (2 + -3 + (sqrt(68)*2 + sqrt(17) - -5*(sqrt(34)/sqrt(2) - sqrt(17))) + -2 + (3 + (sqrt(1377) - (sqrt(1377) - (-1 + sqrt(1377) - sqrt(1377)))))*5)**2.
70*sqrt(17) + 474
Simplify -3 + ((3 + sqrt(171)*-5)**2 + 3*sqrt(171)*-3 + sqrt(171))*4*2.
-912*sqrt(19) + 34269
Simplify -3 + (-1*(sqrt(11) - (5 + (sqrt(11) - sqrt(11)*-1)) - (-1 + sqrt(11)*1)) - sqrt(99)/(-3*-3*sqrt(9))*-2).
1 + 20*sqrt(11)/9
Simplify 5 + ((-1*sqrt(130)*6 + -2*(-2*sqrt(130) + sqrt(130)) + sqrt(130))*-4)/((sqrt(40)/sqrt(4)*4 - sqrt(20)/(sqrt(2) - sqrt(18)))*2).
4*sqrt(13)/3 + 5
Simplify (5*sqrt(3840) - (-4*sqrt(480) - sqrt(480))/sqrt(8))/(((sqrt(336)*2)/sqrt(7))/(sqrt(44)/(-2*sqr | {
"pile_set_name": "DM Mathematics"
} |
1346, -2*m - 44 = -5*v for v.
0
Solve 478968 = -4*i + 478960, 0 = c - 2*i + 1 for c.
-5
Solve -c = -f + 9, 331*c + 2*f - 6 = 329*c for c.
-3
Solve 0 = 5*b - 3*s + 38, 562406*s = -5*b + 562405*s + 6 for b.
-1
Solve 1265 - 1311 = 5*b + 14*f, b - f - 6 = 0 for b.
2
Solve 0 = 3*p - 4*i + 134 - 9, 8*p + 0*p - 75 = -i for p.
5
Solve -1491 = -4*n + 4*a - 1515, 10 = -2*n + 5*a - 4*a for n.
-4
Solve 4*b - 58 = 3*p + 5*p - 12*p - p, 0 = -12*p + 120 for b.
2
Solve 2*u + 2*u - 13*j = -12, 5*j + 9 = -5*u - 6 for u.
-3
Solve 3*h - 13 = 42*j - 43*j + 14, -h + 75 = 4*j for h.
3
Solve 23*p - 2*c + 42 = 0, -20*c + 19*c = -4*p - 6 for p.
-2
Solve 14088*n - 7117*n + 2928 = -u + 7039*n, 0 = u + 4*n - 168 for u.
-4
Solve 37*b + 43*b - 3*z = -57*b + 136*b + 20, 48 = -4*z - 12*z for b.
11
Solve -3*h = -4*h - 3205*p + 3194*p + 8, 40 = 5*h - 5*p for h.
8
Solve 300*l - 156*l + 6 = 3*s - 385*l, 108*l = s + 107*l - 2 for s.
2
Solve 3*c - 5 = j, 3*j + 827814 = 827808 for c.
1
Solve -56 = -q + w - 119 + 60, -59*w = -3*q - 58*w - 5 for q.
-1
Solve 2*v - 7806 + 7846 = k, 0 = -4*v + 196*k - 7064 for v.
-2
Solve -9*j = 3*g + 400 - 103, 0 = -3*j - 3*g - 93 for j.
-34
Solve 6*z + 4 = 2*u, -10*u = -74*z + 77*z + 13 for z.
-1
Solve n - 4*n + 113 = -15*g + 10*g, -2*g - 54 = n for g.
-25
Solve 4*c + 5*l = 47, 23*l - 104 - 64 = -c - 91 for c.
8
Solve 5*l - 7*u + 31 = 0, 288 = -10681*l + 10684*l + 98*u for l.
-2
Solve 51*w + 9*x - 225 = -45, 211 = -w - 3*x + 223 for w.
3
Solve 9*a = 2*d + 39, 6*a = -3*a + 11230 - 11185 for d.
3
Solve a + 167 = -3*s, -3*a + 275 + 128 = 4*s + 629 for a.
-2
Solve -33*h = -52*h + 2*p + 433, -17*h = 5*p - 401 for h.
23
Solve a = q + 26 - 6, 57 = 2*q - 6*q + 3*a for q.
3
Solve 24536*v - 24531*v = 8*k + 68, -3*v = 5*k - 31 for k.
-1
Solve 44 = 2*u - 6*s, -u + 4*s - 2385 = -2415 for u.
-2
Solve -9 = 4*t - n, -5*t - 40070*n = -40054*n - 75 for t.
-1
Solve 2*h + h = 2*g - 227558 + 227580, -h + 26 = -2*g for g.
-14
Solve 5*a - 4*z = -66, 351074*a - z - 29 = 351076*a for a.
-14
Solve 3*f + b = 2*f + 5*b - 7, 2*b = -9*f + 13 for f.
1
Solve 456*s - 3 = -2*v + 459*s, 0 = 2*v - 18*s - 18 for v.
0
Solve 31*o - 28*o + 220 = 52*y, -4*y - 1 = -2*o - 25 for y.
4
Solve 5*s + 15*t = -120, -2*s + 350 = -7*t + 2*t + 354 for s.
-12
Solve 24068*y + 2*u + 33 = 24067*y, 0 = -3*u + 3 for y.
-35
Solve 0 = -8*z + 3*z - 15, 428*r = 430*r - 3*z - z - 18 for r.
3
Solve -2*y = -7909*b + 7904*b - 21, 0 = b - 4*y + 15 for b.
-3
Solve 3*y + 63 = 3*s, -118013*s - 4*y = -118010*s - 70 for s.
22
Solve -12 - 52 = 5*r + 4*g, -10*g - 7*g - 148 = 20*r + 12*g - 31*g for r.
-8
Solve -o + 2*o + 430 = 5*l + 402, -3*o = 24 for l.
4
Solve 3*y + 67516 = 5*n + 67762, 16*n - 4*y = -776 for n.
-48
Solve 3*g - 45 = 3*v, 589*g = 19*v + 590*g - 35 for v.
1
Solve 2*z + a - 19 = 0, 4*a = -z + 1422021 - 1422001 for z.
8
Solve -3*z - 2*z - 5*d - 304 = -3*d, 68*d + 9 = 71*d for z.
-62
Solve 3*r + r - 8*z + 32 = -0*r - 4*z, 26*r + 24*z - 10 = 24*r for r.
-7
Solve j + 17 = i, -1824*j + 2*i - 14 = -1826*j for j.
-5
Solve -2*y = 2*n + 70, 61*y - 113 = 4*n + 63*y + 17 for n.
-30
Solve 0 = -0*s - 2*s - 11064*b + 11068*b - 12, 3*b - 9 = 0 for s.
0
Solve 25 = -2*u - g, 4*u + 58 = 2*g + 35 - 31 for u.
-13
Solve 12*h = -2*x + 21*h - 7*h - 4*h - 26, 403 = -79*x - h for x.
-5
Solve 6*m = -29*b + 41*b - 17*b - 26, -3*m + 5*b = -17 for m.
-1
Solve -4*h + 145 = -x, -2*x - 17862 + 7702 = -290*h for x.
-5
Solve -17*t = -5*h + 522, 25*h - 3*t = 21*h + 50 + 39 for h.
-1
Solve -5*d + 2 = 3*b - 1, 112*b - 4*d = 205*b - 115*b - 100 for b.
-4
Solve -t = -l + 36, -5*t - 250 = 4*l - 43 for t.
-39
Solve 6 = -31*q - 7*q - 70, -q + 13 = -j for j.
-15
Solve -17*c = n - 1272 + 1511, -3*n - c = 7*c + 115 for n.
-1
Solve i + 41*k + 1225 = 0, -6*i + 3*k - 873 = -993 for i.
5
Solve 30 = -10*w + 5*l, 627*w = 632*w - 9*l + 28 for w.
-2
Solve -4*y - 4*h = -4, -h + 1 = 1330*y - 1332*y for y.
0
Solve -61543*k + 61540*k - 5*v + 78 = 0, -5*k - 55*v + 830 = 0 for k.
1
Solve 5*n + 18 = 8, 4*b = -35114*n + 35115*n + 446 for b.
111
Solve 3*r - 29 + 40 = -2*n - 48, -2*r - 4*n = 26 for r.
-23
Solve 40*k + 3*i = -96*k - 269, 0 = 2*k - 4*i + 10 + 2 - 4 for k.
-2
Solve 8*v + 5*z = v - 176, 425 = 3*v - 8*z - 6*z for v.
-3
Solve -26*k + 163 + 16 = 5*o, -19*o - 207 = -24*o + 2*k for o.
41
Solve 4*s - 6*d - 290 = 0, 4 - 10 = 4*d + 14 for s.
65
Solve -2*p = 4*u + 20, 7*u - 58052 + 58063 = -2*p for p.
-16
Solve 17*l - 16*l = -16*h - 19, -4*h + 10 = -53*l - 145 for l.
-3
Solve -18*b + 23 + 28 = -7*g - 262 + 17, -5*b + 2 + 57 = -31 for g.
4
Solve -12*w - 12 = -687*u + 684*u, -2*w + 86 = 5*u for u.
16
Solve -307*f = -305*f - 3*x - 60, -5*x - 110 = 0 for f.
-3
Solve -5*g = 70*t - 75*t - 10, -9*t + 29*t - 98 = -3*g for t.
4
Solve 51 = x + 2*x + v, -78 = 211*x - 215*x + 2*v for x.
18
Solve -2*y = 12, -318*y - 54*y - 2046 + 924 - 1112 = -2*z for z.
1
Solve 552*h = 4*z - 2780, 2*z + 4 = -2*z - 5*h - 3 + 2 for z.
5
Solve -w - 4*w + 116 = -3*p, p + 109 + 31 = 3*w - 3*p for w.
4
Solve -3*k = 169 - 163, 2*i = 6*k + 10 for i.
-1
Solve -3*c = 5*t + 199, 69*c + 262 = -4*t - 4093 for t.
-2
Solve 4*n - 660 = -17*v, 2*n + 84*v - 310 = 76*v for n.
-5
Solve 2*y + 2*y + 27 = 24 - 13, -3*o - 3*y - 2 = 16 for o.
-2
Solve 10 = -2*c - 3*t, -2 + 40 = 2*c - 4*t - 6*t - 4 for c.
1
Solve 178*g - 3 = 360*g - 183*g, -g = -726*r + 1449 for r.
2
Solve 0 = -3*u + 5*w - 108, 13*w + 40 - 21 = -3*u - 35 for u.
-31
Solve 15644*z = 2*p + 15640*z - 62, -p - 2 = z + 18 for p.
-3
Solve -6599*x - a = -6604*x + 34 + 37, -2*a = -15*a - 1273 + 480 for x.
2
Solve 10*v - 5*v + 20 = 0, -151*k + 28 = -153*k - 6*v for k.
-2
Solve -11*p + 5*w - 20 = -6*p, -5*p = -3095*w + 3100*w for p.
-2
Solve 7*z - 2*a = 6 + 7, 3368*a - 1676*a + 45 = -5*z + 1688*a for z.
-1
Solve 16 = -2*f + 6*f, 12*s - 6*s + 11*f - 44 = 0 for s.
0
Solve -18*f + 140 = -22*f, 3*g - 5*f - 160 = 0 for g.
-5
Solve 4*y - 47016 = 2*v - 46986, 0 = 6*y + 11*v - 87 for y.
9
Solve -2*s - 196 = -v - 206, 4 = -2*v for s.
4
Solve -46*f + 42*f + 104 = -9*c, 0 = f + 3*c + 37 for f.
-1
Solve 4*q = 299*b - 295*b + 148, b = 11*q - 77 for q.
4
Solve 5*j - 90 = 79*l - 72*l, j = -4*l - 8 - 1 for l.
-5
Solve -10 + 1 = i, -86*i + 2 = 5*o - 76*i - 8*i for o.
4
Solve 75 = 4*i + 43, 0 = -6*d + 7*i - 80 for d.
-4
Solve -3*h - 2*a + 20 = 3, 7*h + 278261*a - 54 + 2 = h + 278266*a for h.
7
Solve 4*h + 15 - 26 = -5*b, -12*b + 34 = 2*h for h.
-1
Solve 0 = p - q + 4, 10599*p - 10595*p = 2*q - 14 for p.
-3
Solve -5*o + 14886 = -5*w + 14991, 3*o - 2*w + 58 = 0 for o.
-16
Solve 3*p = -3*c + 6, -373*p + 734*p + 3*c - 10 = 357*p for p.
4
Solve -3*n + n + 100 = -54*d + 208, -4*d = -n - 2*d - 4 for n.
0
Solve -78*p + 78*p - 4 = 4*j, 188*p = -3*j - 1131 for p.
-6
Solve 3*c + 203 = -j - 3*c + 159, 0 = 2*j + 4*c + 80 for j.
-38
Solve p + 2*i - 34 = 0, 2*p + 3*i = -79405 + 79468 for p.
24
Solve 0 = 12*i - a - 45, -a = -3305*i + 3302*i + 9 for i.
4
Solve -16*a - 47 = p, 39*a - 41*a + 48 = -3*p + 157 for p.
33
Solve -38*c = -2*q - 244, 0 = 5*c - 9538*q + 9539*q - 22 for c.
6
Solve -2*b = 25268*h - 25270*h - 0*b - 50, -5*h - 149 = 3*b for h.
-28
Solve -b = -7*v + 255 - 113 + 337, 382 = 5*v - 14*b for v.
68
Solve 3*r - 7*y + 56 - 10 = -85, 3*r - y = 4*r - 13 for r.
-4
Solve -120 = -2*s + 493*q - 489*q, -4*s - 2*q = -q + 30 for s.
0
Solve -4616*c - 14 = -5*a - 4615*c, -3*a + 2*c + 7 = 0 for a.
3
Solve 3*x = -2*g + 98, 422*g - 423*g - 127 = -4*x for g.
1
Solve -5*o - 18*l = -240, -2 - 2 + 14 = 2*l for o.
30
Solve -f - 14 = -5*b + 25 - 44, -44 = -2*b + 5*f for b.
-3
Solve -2*n - 1525 = 4*k - 1569, -k = -5*n + 66 for k.
4
Solve -3*i - 5*g = -20, 14*i + 5*g = 189 - 114 for i.
5
Solve b - 11 = -0*o - o, 2*o - 2*b - 9*b = -43 for o.
6
Solve 26*w + 3*o = -47, 36*w - 16*w - 13*o + 15*o + 17 = 17*w for w.
-1
Solve 1192*d - 1193*d + 18 = -5*q - 19, -2*d - d = -226*q + 2*d - 1793 for q.
-8
Solve 0 = h + 2*c + 132, -872 = -472*h - 2*c - 1004 for h.
0
Solve 0 = q - 2*u - 1, -11830*u + 11829*u = q + 5 for q.
-3
Solve 8 = -w - 4*j, 0 = -3*w + 2*j - 80211 + 80215 for w.
0
Solve 2*b - 97 + 53 + 34 = 0, -5*c + 90 = 30*b for c.
-12
Solve 4*x - 3*m = 2*m + 117, 5*x - 658 = 3*m - 593 for x.
-2
Solve 116*b - 10 = -2*k + 118*b, 0 = 2*k + k - 35*b + 30*b - 11 for k.
7
Solve 40087*i + 3*a + 12 = 40091*i, -8*i - 32 = a | {
"pile_set_name": "DM Mathematics"
} |
**(58/7)
Simplify (x**(-1)*x*x)**(-48)*(x**(-2))**(-7/3) assuming x is positive.
x**(-130/3)
Simplify (p**(-2/15)/p*p*p)**(-3/2) assuming p is positive.
p**(-13/10)
Simplify d**(-1/5)/(d*d**(-15)) assuming d is positive.
d**(69/5)
Simplify (s/s**(2/3))/(s*s*s*s**(2/5)/s*s*s)*(s*s**(-1/8)*s)/(s**2*s) assuming s is positive.
s**(-623/120)
Simplify (c**(2/9)/c)/(c*c**(3/4))*(c**(-1)*c*c*c)/c**(2/7) assuming c is positive.
c**(-205/252)
Simplify (c/((c/(c**(-6/7)/c))/c)*(c*(c*c**4/c)/c)/c)/(c*(c/c**(-1)*c)/c)**(-1/47) assuming c is positive.
c**(726/329)
Simplify (g*g**(-1/4)*g/(g*g**(1/5)*g*g))/(g**(-4/7)/((g*g**(-4/5)*g*g)/g)) assuming g is positive.
g**(9/28)
Simplify (x**8/x**(-1/5))/(x**(1/4))**(-10/3) assuming x is positive.
x**(271/30)
Simplify k**(2/21)*k/(k**(-7)*k) assuming k is positive.
k**(149/21)
Simplify (z*z**13)/z**26 assuming z is positive.
z**(-12)
Simplify n**(1/3)*(n/n**(2/11))/n*(n/(n/(n*((n*n*n*n*n**3)/n)/n*n)))/n*n**(2/25) assuming n is positive.
n**(5141/825)
Simplify b/(b**27*b)*b*b**(27/5) assuming b is positive.
b**(-103/5)
Simplify (u**(-9))**27 assuming u is positive.
u**(-243)
Simplify (d/d**(-3/5))**(4/5) assuming d is positive.
d**(32/25)
Simplify (q*q**0)**(-20)/((q**(-1)*q)/q)**34 assuming q is positive.
q**14
Simplify v*v/((v/v**6*v*v)/v)*v*v**(-7)*v**10/(v/(v**(2/7)*v)) assuming v is positive.
v**(72/7)
Simplify z**(-2/35)/(z*z*z**9*z) assuming z is positive.
z**(-422/35)
Simplify (o/o**27*o)**5 assuming o is positive.
o**(-125)
Simplify (j*j**(2/17)*j)/j**(-5)*((j/(j*j**(-2/7)))/j)**(-9/8) assuming j is positive.
j**(7541/952)
Simplify (t**3/t*t**(-3/5)/t)/(t**(2/19)/(t**(4/7)*t*t)) assuming t is positive.
t**(1906/665)
Simplify (((c/((c*c/(c**0/c*c))/c))/c*c)/c)**(2/5) assuming c is positive.
c**(-2/5)
Simplify d**16/(d/(d*d*d*d**7)) assuming d is positive.
d**25
Simplify (m/m**11)/(m**(-2/39)*m) assuming m is positive.
m**(-427/39)
Simplify (n**(-7))**27 assuming n is positive.
n**(-189)
Simplify (r**(-4/3))**(2/27) assuming r is positive.
r**(-8/81)
Simplify a**(-3)/a**(7/10) assuming a is positive.
a**(-37/10)
Simplify v**24*v**(-2/75) assuming v is positive.
v**(1798/75)
Simplify (o**(-1/4))**(2/43)/(o*o*o**(-3/5)*o**9) assuming o is positive.
o**(-4477/430)
Simplify (f**(-1/4))**(-9/11)/((f**(1/14)*f)/f**2) assuming f is positive.
f**(349/308)
Simplify ((f/(f/f**(4/9)))/(f*f/f**(-2/15)*f))/(f**(-1/2))**(-40) assuming f is positive.
f**(-1021/45)
Simplify (r/((r/(r*r**27*r*r))/r)*r)/((r/r**(-20/9))/r) assuming r is positive.
r**(268/9)
Simplify ((b*((b**(2/5)*b)/b*b)/b)/b*b)**9/(((b*b*b/((b*b**(4/7)*b*b)/b)*b)/b*b)/b**(5/4)) assuming b is positive.
b**(1739/140)
Simplify u**(2/33)/(u**(13/2)*u) assuming u is positive.
u**(-491/66)
Simplify (k**(-13)*k*k**(-2/21)/k*k)**(2/5) assuming k is positive.
k**(-508/105)
Simplify (a**(-2/3)/a)/(a/a**5)*(a*a*a*a**1*a*a)**6 assuming a is positive.
a**(115/3)
Simplify (k**(-1)*k)**(10/11)*(k**1)**(1/10) assuming k is positive.
k**(1/10)
Simplify (d*d*d**18)**(-44) assuming d is positive.
d**(-880)
Simplify (n*n**(-2))**38/(n**(6/5)*n*n*n**(-3/4)) assuming n is positive.
n**(-809/20)
Simplify (s**(-3/7)*s*s**(1/6)/s)/((s*s**(2/3))/((s/(s/(((s/(s**(4/11)*s))/s)/s*s)))/s)) assuming s is positive.
s**(-661/154)
Simplify (i/i**2)/i**0*(i**(-1/3))**(-27) assuming i is positive.
i**8
Simplify (o**14/((o*(o*o/(o/o**(-10)))/o)/o*o))**20 assuming o is positive.
o**460
Simplify o**10*o/(o/((o**9*o)/o*o*o)) assuming o is positive.
o**21
Simplify (((h/(h*h*h**(-4))*h)/h)/h*h**(2/5)/h)/(h**(2/9)*(h**0*h)/h) assuming h is positive.
h**(53/45)
Simplify (q**2/q*q**(-5))**(-6/11) assuming q is positive.
q**(24/11)
Simplify (s/(s/s**(-9)))/s**(-14) assuming s is positive.
s**5
Simplify (k**1*k**4)**(6/31) assuming k is positive.
k**(30/31)
Simplify (y*y*y/(y/((y*y/y**(2/5)*y)/y)))**(3/25)*y/(y/(y/(y**(-1)*y))*y)*y*y/y**2 assuming y is positive.
y**(54/125)
Simplify ((v*v**2)/v)**(-12/7)*(v/((v*((v**(1/2)*v)/v)/v)/v))**(-2/69) assuming v is positive.
v**(-559/161)
Simplify o*(o**(-29)/o)/o*o*o/o**(21/2)*o assuming o is positive.
o**(-75/2)
Simplify u**(-28)*u/u**(-8/5) assuming u is positive.
u**(-127/5)
Simplify (x**0)**(6/5)/(x**(2/3))**(-2/31) assuming x is positive.
x**(4/93)
Simplify ((x**1)**(-6/17))**31 assuming x is positive.
x**(-186/17)
Simplify u/(u**(-1/10)*u)*u*(((u*u*(u/u**(6/7))/u)/u)/u*u)/u*u assuming u is positive.
u**(87/70)
Simplify j/(j**(-10)/j)*j**(2/47) assuming j is positive.
j**(566/47)
Simplify (x*x**(2/37))**(1/31) assuming x is positive.
x**(39/1147)
Simplify (l**(-2)*l/(l*l*l**(2/5)*l)*l)/((l/l**(-1/2))/(l*l**5)) assuming l is positive.
l**(11/10)
Simplify (q**(-22)/q)/q*q/q**(4/7) assuming q is positive.
q**(-165/7)
Simplify ((j**(-1/2)*j)/(j*j/j**(-1/2)))**19 assuming j is positive.
j**(-38)
Simplify y**20/y**26 assuming y is positive.
y**(-6)
Simplify (p**1)**(1/20)/(((p*p**(-3/5))/p)/(p**0/p)) assuming p is positive.
p**(-7/20)
Simplify ((m**(2/7)/m)**39)**(12/5) assuming m is positive.
m**(-468/7)
Simplify ((u/u**(1/3))/(u/(u/(u*u/(u**1*u)))*u))**(2/25) assuming u is positive.
u**(-2/75)
Simplify x**(-7)*x*x*x**7*(x/(x/(x*x**(1/3))))**26 assuming x is positive.
x**(110/3)
Simplify ((t*t*t*t**(-3))/t**(3/5))/(t**3*t**(2/13)) assuming t is positive.
t**(-244/65)
Simplify ((a**5*a)/a)**27 assuming a is positive.
a**135
Simplify q/(q*q/(q**(-4)/q)*q*q)*q/(q*q*q**(6/5)*q*q) assuming q is positive.
q**(-61/5)
Simplify (m**0/(m**3*m))**(2/39) assuming m is positive.
m**(-8/39)
Simplify ((v/((((v*v**(5/3))/v)/v)/v))/v*v**(-2/9))/((v/(v/v**(-4)))/v*v**(2/5)) assuming v is positive.
v**(212/45)
Simplify (o/o**(-3)*o/(o**(-2/21)*o))/(o**(-1/2)/(o/(o**(7/2)*o)*o)) assuming o is positive.
o**(44/21)
Simplify (p**(-2)*p*p**6*p*p)/(p**0*p)**(-1/16) assuming p is positive.
p**(113/16)
Simplify ((b*b**0)/b*b)**(13/2)*b**(1/5)*b**6*b assuming b is positive.
b**(137/10)
Simplify p*p/(p*p**(-3)*p)*p*p*(p/p**(7/5))/p*p**(-7)*p*p*p*p*p**(-5)*p*p*p assuming p is positive.
p**(-7/5)
Simplify w**22*(w/w**(-3)*w)/w*w assuming w is positive.
w**27
Simplify ((i/(i*i/(i*i/i**(-1/2))))/i*i)**(3/4)*(i*i/i**(2/5)*i)**(-2/15) assuming i is positive.
i**(467/600)
Simplify (u/(u/(((u**(2/3)*u)/u)/u)))**14/(u**0*u**(3/8)) assuming u is positive.
u**(-121/24)
Simplify (x**(2/5))**49 assuming x is positive.
x**(98/5)
Simplify ((j*j**10/j)/(j/j**(-15/7)*j))**(-1/23) assuming j is positive.
j**(-41/161)
Simplify ((p/(p*p**(-1/6)*p*p)*p)**(3/8))**(2/99) assuming p is positive.
p**(-5/792)
Simplify ((g**(-6)/g)/g)/(g/g**(-1))*(g*g/g**(-1)*g)**3 assuming g is positive.
g**2
Simplify ((r/(r*((r**9/r*r)/r)/r))/r)/r**(7/2) assuming r is positive.
r**(-23/2)
Simplify (a/a**(2/7)*a*a*a)**(-42)*(a**0)**(1/9) assuming a is positive.
a**(-156)
Simplify j**(8/5)/(j/(j*j**(2/37)*j)) assuming j is positive.
j**(491/185)
Simplify u**(-9/2)/u*(u/((u/(u*(u/u**(-17))/u)*u)/u))/u assuming u is positive.
u**(23/2)
Simplify i**(-29)*i/i**(2/17) assuming i is positive.
i**(-478/17)
Simplify (w/(w/(((w**(-22)/w)/w)/w)))/(w/(w/w**(5/9))) assuming w is positive.
w**(-230/9)
Simplify (d/d**5*d)/d*d*d**(1/13) assuming d is positive.
d**(-38/13)
Simplify h**(-2/11)*h*h**(-1/3)/h*h**(-1/2)/h**6 assuming h is positive.
h**(-463/66)
Simplify (y**(4/7)/(y**5*y))**32 assuming y is positive.
y**(-1216/7)
Simplify (o/(o/(o**(1/4)/o*o*o)))**(-46)*(o*o/o**1)/(o*o/(o/(o/(o**0/o)))) assuming o is positive.
o**(-119/2)
Simplify ((r**(1/4)*r)**(-2/19))**(1/43) assuming r is positive.
r**(-5/1634)
Simplify (h/h**(-2))/h*(h**(-2)*h)/h*h*(h**(-1))**44 assuming h is positive.
h**(-43)
Simplify p**34/(p/(p**(-2)*p)) assuming p is positive.
p**32
Simplify (r**3*r*r*r*r**(-4)*r)/((r/(r*r**(1/6)))/r**(-3/8)) assuming r is positive.
r**(67/24)
Simplify y**(-17)*((y*y**5*y*y)/y)/y assuming y is positive.
y**(-11)
Simplify ((r**0/r)**(-43))**(-22/9) assuming r is positive.
r**(-946/9)
Simplify (z*z/((z*z/z**11*z*z)/z*z)*z)**(-40/3) assuming z is positive.
z**(-400/3)
Simplify (y**2/y)/(y*(y*y**(-4/3))/y)*y**2/(y**(-5)/y) assuming y is positive.
y**(28/3)
Simplify (v/v**(-23))/(v/v**21) assuming v is positive.
v**44
Simplify ((((g/(g*g**2*g*g))/g)/g*g)/g)**42 assuming g is positive.
g**(-252)
Simplify (n**(-2/13)/n**(-7))/((n/(n**(-7)/n))/( | {
"pile_set_name": "DM Mathematics"
} |
What is the m'th term of 23716, 98615, 224696, 401959?
25591*m**2 - 1874*m - 1
What is the n'th term of -61263, -80704, -100145, -119586, -139027?
-19441*n - 41822
What is the p'th term of -823, -948, -747, -58, 1281, 3432?
27*p**3 + p**2 - 317*p - 534
What is the s'th term of 83814, 83724, 83472, 82974, 82146, 80904, 79164, 76842?
-14*s**3 + 3*s**2 - s + 83826
What is the m'th term of -17037, -68671, -154899, -275721, -431137?
-17297*m**2 + 257*m + 3
What is the x'th term of 13189, 52402, 117635, 208888, 326161, 469454?
13010*x**2 + 183*x - 4
What is the d'th term of 17474, 34934, 52380, 69812, 87230, 104634, 122024?
-7*d**2 + 17481*d
What is the g'th term of -1818393, -1818390, -1818387?
3*g - 1818396
What is the u'th term of 6094, 2130, -4478, -13730, -25626?
-1322*u**2 + 2*u + 7414
What is the z'th term of 36637, 73166, 109695, 146224?
36529*z + 108
What is the l'th term of 1577, 3030, 4377, 5612, 6729, 7722, 8585, 9312?
-l**3 - 47*l**2 + 1601*l + 24
What is the d'th term of 74514787, 74514786, 74514785, 74514784, 74514783, 74514782?
-d + 74514788
What is the x'th term of 8151, 17404, 26657, 35910, 45163, 54416?
9253*x - 1102
What is the u'th term of -11157, -7134, -3111, 912, 4935, 8958?
4023*u - 15180
What is the z'th term of -17732, -12474, -7216, -1958, 3300, 8558?
5258*z - 22990
What is the u'th term of 132220, 130920, 129620?
-1300*u + 133520
What is the q'th term of -4727582, -18910340, -42548268, -75641366, -118189634?
-4727585*q**2 - 3*q + 6
What is the y'th term of 1207007, 2413927, 3620847, 4827767, 6034687, 7241607?
1206920*y + 87
What is the z'th term of 1032121, 2064259, 3096395, 4128529?
-z**2 + 1032141*z - 19
What is the w'th term of 39745, 39740, 39733, 39724, 39713?
-w**2 - 2*w + 39748
What is the t'th term of 594765, 594639, 594513, 594387, 594261, 594135?
-126*t + 594891
What is the x'th term of -4884, -13635, -22386, -31137, -39888, -48639?
-8751*x + 3867
What is the l'th term of 5205, 5388, 5611, 5874?
20*l**2 + 123*l + 5062
What is the q'th term of 8661, 8680, 8729, 8826, 8989, 9236, 9585, 10054?
3*q**3 - 3*q**2 + 7*q + 8654
What is the j'th term of -830, -6503, -21906, -51905, -101366, -175155, -278138, -415181?
-811*j**3 + j**2 + j - 21
What is the f'th term of -49937, -49807, -49597, -49313, -48961, -48547?
-f**3 + 46*f**2 - f - 49981
What is the k'th term of -13421, -53896, -121349, -215780, -337189?
-13489*k**2 - 8*k + 76
What is the b'th term of 32501, 32559, 32611, 32657, 32697, 32731?
-3*b**2 + 67*b + 32437
What is the p'th term of -37988, -76079, -114232, -152441, -190700, -229003, -267344?
p**3 - 37*p**2 - 37987*p + 35
What is the t'th term of 334329, 1337298, 3008927, 5349228, 8358213?
2*t**3 + 334318*t**2 + t + 8
What is the y'th term of -8950865, -8950879, -8950919, -8950997, -8951125, -8951315, -8951579, -8951929?
-2*y**3 - y**2 + 3*y - 8950865
What is the j'th term of -1128146, -1128145, -1128144, -1128143, -1128142?
j - 1128147
What is the c'th term of 54443790, 108887581, 163331372, 217775163, 272218954, 326662745?
54443791*c - 1
What is the u'th term of -421134, -421149, -421164, -421179?
-15*u - 421119
What is the r'th term of -57780, -230883, -519352, -923187?
-57683*r**2 - 54*r - 43
What is the k'th term of 38019161, 38019157, 38019153, 38019149, 38019145?
-4*k + 38019165
What is the b'th term of 19850, 20017, 20294, 20681, 21178, 21785?
55*b**2 + 2*b + 19793
What is the b'th term of 12650, 13661, 15346, 17705, 20738, 24445?
337*b**2 + 12313
What is the g'th term of 66309, 132714, 199137, 265578, 332037?
9*g**2 + 66378*g - 78
What is the z'th term of 9095, 36247, 81425, 144629, 225859?
9013*z**2 + 113*z - 31
What is the v'th term of 31523, 32262, 33495, 35222, 37443?
247*v**2 - 2*v + 31278
What is the a'th term of -75863, -103286, -130723, -158180, -185663, -213178?
-a**3 - a**2 - 27413*a - 48448
What is the d'th term of -6975045, -27900337, -62775817, -111601479, -174377317?
d**3 - 6975100*d**2 + d + 53
What is the a'th term of 7286749, 14573544, 21860339, 29147134?
7286795*a - 46
What is the d'th term of -770808, -6166455, -20811784, -49331637, -96350856, -166494283?
-770807*d**3 + d**2 - d - 1
What is the s'th term of -455061, -910231, -1365401?
-455170*s + 109
What is the x'th term of 24369068, 24369063, 24369056, 24369047, 24369036, 24369023, 24369008?
-x**2 - 2*x + 24369071
What is the p'th term of 950, 1676, 2888, 4586, 6770, 9440?
243*p**2 - 3*p + 710
What is the w'th term of -571, -2047, -4353, -7423, -11191, -15591, -20557, -26023?
11*w**3 - 481*w**2 - 110*w + 9
What is the m'th term of 167818, 335727, 503636?
167909*m - 91
What is the h'th term of -1481546, -2963280, -4445014, -5926748, -7408482?
-1481734*h + 188
What is the w'th term of 183358, 369146, 554936, 740728, 926522, 1112318, 1298116?
w**2 + 185785*w - 2428
What is the r'th term of 32504, 32526, 32560, 32612, 32688, 32794, 32936?
r**3 + 15*r + 32488
What is the d'th term of -545, -192, 837, 2878, 6267, 11340, 18433, 27882?
56*d**3 + 2*d**2 - 45*d - 558
What is the a'th term of 3060, 12482, 28832, 52668, 84548, 125030, 174672, 234032?
93*a**3 + 2906*a**2 + 53*a + 8
What is the m'th term of 290397, 1161603, 2613577, 4646289, 7259709, 10453807?
-5*m**3 + 290414*m**2 - m - 11
What is the c'th term of -336, -507, -506, -321, 60?
2*c**3 + 74*c**2 - 407*c - 5
What is the j'th term of 160136, 640613, 1441426, 2562575, 4004060?
160168*j**2 - 27*j - 5
What is the z'th term of -39348, -83241, -127134, -171027, -214920, -258813?
-43893*z + 4545
What is the p'th term of 15941, 31754, 47553, 63332, 79085, 94806?
-p**3 - p**2 + 15823*p + 120
What is the i'th term of 37694, 37571, 37426, 37253, 37046, 36799?
-i**3 - 5*i**2 - 101*i + 37801
What is the q'th term of 1548, 3132, 4770, 6462, 8208, 10008?
27*q**2 + 1503*q + 18
What is the l'th term of -1825, -11684, -38365, -90280, -175841, -303460?
-1402*l**3 + l**2 - 48*l - 376
What is the u'th term of -88676, -354638, -797892, -1418438, -2216276, -3191406?
-88646*u**2 - 24*u - 6
What is the x'th term of -1697, -2372, -3047, -3722?
-675*x - 1022
What is the s'th term of -293, -1174, -2523, -4244, -6241, -8418?
16*s**3 - 330*s**2 - 3*s + 24
What is the p'th term of -488045, -976096, -1464147, -1952198, -2440249, -2928300?
-488051*p + 6
What is the q'th term of 17547, 69851, 157017, 279039, 435911?
-q**3 + 17437*q**2 + 111
What is the y'th term of -21696, -22253, -23180, -24477?
-185*y**2 - 2*y - 21509
What is the o'th term of 437, 1690, 3851, 6992, 11185, 16502, 23015?
12*o**3 + 382*o**2 + 23*o + 20
What is the a'th term of 226, 800, 1728, 2992, 4574, 6456, 8620, 11048?
-3*a**3 + 195*a**2 + 10*a + 24
What is the q'th term of -375, -310, -225, -126, -19, 90?
-q**3 + 16*q**2 + 24*q - 414
What is the k'th term of -43870, -175600, -395180, -702610, -1097890?
-43925*k**2 + 45*k + 10
What is the i'th term of -139132, -556487, -1252070, -2225887, -3477944, -5008247?
-i**3 - 139108*i**2 - 24*i + 1
What is the s'th term of 5905, 11624, 16995, 21856, 26045, 29400, 31759?
-27*s**3 - 12*s**2 + 5944*s
What is the j'th term of 981, 8136, 27591, 65496, 128001, 221256, 351411?
1025*j**3 - 20*j - 24
What is the v'th term of 17871851, 35743708, 53615589, 71487506, 89359471?
2*v**3 + 17871843*v + 6
What is the f'th term of -8500244, -8500250, -8500256, -8500262, -8500268?
-6*f - 8500238
What is the d'th term of -3024776, -3024720, -3024664, -3024608, -3024552, -3024496?
56*d - 3024832
What is the w'th term of 448, 1989, 6196, 14407, 27960, 48193, 76444, 114051?
223*w**3 - 5*w**2 - 5*w + 235
What is the j'th term of 198426528, 396853054, 595279576, 793706094?
-2*j**2 + 198426532*j - 2
What is the j'th term of -31480, -31456, -31428, -31396?
2*j**2 + 18*j - 31500
What is the q'th term of -12678, -12747, -12836, -12945, -13074, -13223, -13392?
-10*q**2 - 39*q - 12629
What is the q'th term of 13040972, 26081949, 39122926?
13040977*q - 5
What is the w'th term of -572, -2254, -5070, -9014, -14080?
w**3 - 573*w**2 + 30*w - 30
What is the y'th term of -9662430, -19324877, -28987324, -38649771?
-9662447*y + 17
What is the j'th term of -2465, -7569, -15315, -25697, -38709?
j**3 - 1327*j**2 - 1130*j - 9
What is the c'th term of -21962, -21451, -20940, -20429?
511*c - 22473
What is the l'th term of 639069, 639103, 639205 | {
"pile_set_name": "DM Mathematics"
} |
to the nearest 10.
30
Let n = 812 + -811.99999193. What is n rounded to six dps?
0.000008
Let m(z) = -121670*z + 40. Let j be m(12). Round j to the nearest 100000.
-1500000
Let v = 274 - 273.99999766. Round v to 6 decimal places.
0.000002
Let w = 9409524 + -9409677.896524. Let g = -2.893604 - w. Let z = g + -151. Round z to four dps.
0.0029
Suppose 5*w - 4875 = -5*h, -5*h + 3205 = -5*w - 1700. Round h to the nearest 100.
1000
Let m = 3.264 - 68.624. What is m rounded to the nearest ten?
-70
Let x = 10 - 12. Let k = x - -5. Let d = -17 - k. Round d to the nearest ten.
-20
Let j = -279926 + 279923.60102. Let p = 2.09 - -0.31. Let r = p + j. What is r rounded to 4 decimal places?
0.001
Let x = -252.3045 - -252. What is x rounded to 2 decimal places?
-0.3
Let v = 1176.2 - 1180. Let x = -7209909 - -7209905.2000308. Let o = x - v. What is o rounded to 6 dps?
0.000031
Let i be 2/(12/109) - (-5)/(-30). Suppose 19*p = i*p + 48. What is p rounded to the nearest ten?
50
Let t = -243468.038 - -243728. Let z = 261 - t. Round z to 1 dp.
1
Let t = -0.053 - 0.177. Let f = -3.93 - -4.41. Let k = t + f. Round k to 2 dps.
0.25
Let f(a) = 4550000*a**3 - 3*a - 2. Let w be f(-1). Let p = w - -7729999. Round p to the nearest 1000000.
3000000
Let x(g) = g**3 + 11*g**2 - 12*g - 14. Let f be x(-12). Let u be 105/((-2)/f*10/(-40)). Round u to the nearest one thousand.
-3000
Let r be -8 + -106984 + 1 + -9. What is r rounded to the nearest 100000?
-100000
Let f = -110244060.1188083 - -46161446.51880849. Let c = -64082609 - f. Let w = 4.6 - c. What is w rounded to seven decimal places?
0.0000002
Let w = -71350 + 40050. Round w to the nearest one thousand.
-31000
Let r(z) = 83*z - 13. Let m be r(2). Let g be (3 - m)/(3/36000*-2). What is g rounded to the nearest 1000000?
1000000
Let l = 5438 - 5438.2341. What is l rounded to 3 dps?
-0.234
Suppose -2*x = -3*s + 801006, 2*s - s + 3*x - 266991 = 0. What is s rounded to the nearest 10000?
270000
Suppose 0 = -m - 28816214 - 7093786. What is m rounded to the nearest 1000000?
-36000000
Let f = 0.9 - 0.7. Let r = 23 + f. What is r rounded to 0 dps?
23
Let f = -626.3 + 582. Round f to the nearest 10.
-40
Let a(z) = -22*z**3 - 8*z**2 - 8*z - 10. Let f be a(-7). Round f to the nearest 10000.
10000
Let p = 0.16206252 - -7.33793128. Let w = 7.5 - p. Round w to six dps.
0.000006
Let c = -411058042241799461.00000022 - -411058038155719170. Let t = 4086080327 + c. Let d = t - 36. Round d to 7 dps.
-0.0000002
Let x = 1661 + -364. Round x to the nearest 100.
1300
Let h = -2156.1195 + 2109.12. Let a = -47 - h. What is a rounded to four decimal places?
-0.0005
Let q be -9*(40/12 + -2). Let m be 268/24 + 2/q. Suppose 13*g - 12800000 = m*g. What is g rounded to the nearest 1000000?
6000000
Let q = 112 + -112.008888. Round q to four dps.
-0.0089
Let h = 127.822 - 152.8144. Let k = -25 - h. Let s = k + -2.7824. What is s rounded to one decimal place?
-2.8
Let w(d) = 2*d - 20. Let g be w(12). Suppose 0 = -g*a + 3*a. Suppose a = 3*n + 2*h - 4*h + 1290006, 2*n = -3*h - 859991. Round n to the nearest 100000.
-400000
Let g be 123300/137*(0 - (-2020)/(-6)). What is g rounded to the nearest 100000?
-300000
Suppose -10*m = -6*m. Suppose t - 2 = 2*k + 2*k, m = -2*k. Let f be (876/(-18))/(t/(-6)). What is f rounded to the nearest 10?
150
Suppose 5*x + 2*i = x + 8560882, -2*i - 8560894 = -4*x. Suppose -x = -3*r - 481222. Round r to the nearest ten thousand.
550000
Let s(d) = -d**3 - d**2 + d - 1. Let w(o) = 593*o**3 + 5*o**2 - 6*o + 4. Let u(x) = 6*s(x) + w(x). Let v be u(2). Let p = v + 6610. Round p to the nearest 1000.
11000
Let l = -37.91 - -41.2. Let a = l + -0.47. Round a to zero dps.
3
Let r = 8360.08561 + -8360. Round r to three dps.
0.086
Suppose -53760 = 22*m - 30*m. What is m rounded to the nearest 1000?
7000
Let u = 1.93000169 + -1.93. What is u rounded to 7 decimal places?
0.0000017
Let u(w) = w**3 + 4*w**2 - 6*w + 1. Let a be u(-5). Let c(x) = 57871*x**3 - 2*x**2 - 11*x + 2. Let h be c(a). Round h to the nearest one million.
13000000
Let y(w) = -w**2 - 19*w - 12. Let x be y(-16). Suppose -1246 = -5*c - 2*s, -4*c = -3*s - x - 947. Let k = c - -972. What is k rounded to the nearest 100?
1200
Suppose i + 2*o = 4*o - 2093, -6244 = 3*i + o. What is i rounded to the nearest one hundred?
-2100
Let y = -46.035769987 + 0.035791987. Let s = 46 + y. Round s to five dps.
0.00002
Let p = 17 + -10. Let i be p/(63/(-480))*600. Round i to the nearest 10000.
-30000
Suppose -9*h = -18*h + 346499955. Suppose 5*l = 3*z + 2*z + h, -5*l = -3*z - 38499997. Round l to the nearest one million.
8000000
Let i = -85756860.99999865 - -85756856. Let u = i - -5. What is u rounded to 7 decimal places?
0.0000014
Suppose -2*u = n - u - 22674606, -n + 5*u + 22674600 = 0. Suppose -3*l = 3*h - 27900009, -4*h + n = -l - 14525392. Round h to the nearest one million.
9000000
Suppose -6*v + 7535 = -2287. What is v rounded to the nearest one hundred?
1600
Let h = -328.607 - -328.64099805. Let v = -0.04 + 0.074. Let r = h - v. Round r to seven decimal places.
-0.000002
Let k = 13466 + -14981.1. What is k rounded to the nearest one hundred?
-1500
Let q be (-21684)/(-8)*(-4)/3. What is q rounded to the nearest 100?
-3600
Let b = -234.288 + 259.13. Let f = -25 + b. Round f to 2 dps.
-0.16
Let n = 39 - 23. Let p = 16.00031 - n. Round p to 4 decimal places.
0.0003
Suppose -3*w + 15 = 0, -z - w + 43 = z. Suppose 0 = -18*h + z*h + 2090. What is h rounded to the nearest one hundred?
-2100
Let g = 100.851 + -101. Round g to 2 decimal places.
-0.15
Let w = -0.5525 + 67.8225. Let v = w + -67. Let l = 0.48 - v. What is l rounded to 1 dp?
0.2
Let r = -0.44937812 - 325.73179088. Let q = -0.805531 + r. Let x = -327 - q. Round x to 3 decimal places.
-0.013
Let t(p) = 3748*p + 29. Let v be t(14). Let m be (-45006)/(-5) - (-2)/(-10). Suppose -5*l - v = -h, -1495 = l + 4*h + m. Round l to the nearest 1000.
-11000
Let v = 139566 + -139710.706. Let w = v - -145. Let i = w + -0.3178. What is i rounded to three dps?
-0.024
Let x = 1592 + -1591.998092. Round x to 5 dps.
0.00191
Let o = -6.0511 + 0.0211. Round o to one decimal place.
-6
Let u = -1859.9993743 + 1860. Round u to four dps.
0.0006
Let d = 222.00000406 - 222. What is d rounded to 6 dps?
0.000004
Let t be (6250/20)/(2 - (-104061)/(-52032)). Round t to the nearest one hundred thousand.
5400000
Let q(n) = -35631*n**2 - 74*n + 5. Let i be q(51). Round i to the nearest 1000000.
-93000000
Suppose 0*m + 4*m = -2*f - 10, -3*f + 2*m + 17 = 0. Suppose -5*y = -2*q - 29500, -2*y + 12264 = f*q + 464. Round y to the nearest 1000.
6000
Suppose i = 2*t - i + 1667990, 2*t + 1667995 = i. Round t to the nearest ten thousand.
-830000
Let k = -187.000000805 - -187. What is k rounded to six dps?
-0.000001
Let o = 125 - 124.47. Let a = 0.530039 - o. Round a to five dps.
0.00004
Let p be 4*3/(-18)*-195. What is p rounded to the nearest one hundred?
100
Let k = -19 + 22. Let o = k + -9. Let a = o - -6.0000076. Round a to six decimal places.
0.000008
Let l = 208.9998872 + -209. What is l rounded to five dps?
-0.00011
Let a = -2770.9159 - -2771. Round a to three dps.
0.084
Let z = -11 + 14. Suppose -z*l = -9*l - 75600. Round l to the nearest 1000.
-13000
Let a be (10/8)/(2/48). Suppose -a = s + 4*s. Let l be ((-60)/s)/(1/580). Round l to the nearest one thousand.
6000
Let f = 179.144 + -0.144. Let q = f + -179.146. Round q to two dps.
-0.15
Let u(l) = l**3 + 21*l**2 - 26*l + 4. Let y be u(-21). What is y rounded to the nearest 100?
600
Let k = -28828 + 28839.993. Let u = 12 - k. What is u rounded to 2 dps?
0.01
Let y = 584 + -582.13. What is y rounded to one dp?
1.9
Let v(t) = 54*t**2 + 4*t + 6. Suppose -19 = 2*h - 7. Let m be v(h). Suppose -2*n + m = -734. What is n rounded to the nearest one hundred?
1300
Let u = -143 + 142.99999869. What is u rounded to 7 dps?
-0.0000013
Let b(u) = 2*u**2 - 3*u + 2. Let l be b(2). Suppose 0 = 2*k - 4*n - n + 7125, l*k - 4*n + 14244 = 0. Round k to the nearest 100.
-3600
Let q = 145 + -172. Let j = 16.382 + 10.6274. Let f = j + q. What is f rounded to three dps?
0.009
Let b = 0.574 - 15.724. Round b to 0 decimal places.
-15
Let n = 147.509926 - 147.58. Let r = -4.07 + 4. Let t = r - n. What is t rounded to 5 dps?
0.00007
Let w = -0.459 | {
"pile_set_name": "DM Mathematics"
} |
Calculate the remainder when 440 is divided by s.
20
Let t = -433 - -511. What is the remainder when t is divided by 9?
6
Let c(a) be the first derivative of -a**4/4 - 3*a**3 - 4*a**2 + 2*a + 3. What is the remainder when (0 + 2)*18/12 is divided by c(-8)?
1
Suppose 0 = -5*i - 3*n + n + 147, -3*i - 4*n = -91. Let r = i + -32. Calculate the remainder when 110 is divided by 168/(-70)*20/r.
14
Suppose 0 = -5*p - u + 10, -p - 2*u = -3*u - 8. Suppose 17 = -p*d - 4. Let k(h) = -h + 4. What is the remainder when 30 is divided by k(d)?
8
Let j(t) = -12*t - 2. Let u(y) = 3*y**2 + 27*y + 154. Let a be u(-7). Suppose 0 = -13*k + a + 356. What is the remainder when j(-6) is divided by k?
34
What is the remainder when 3501 is divided by 3250/(-3900) + 19/(-12)*-22?
33
Let j = 7998 + -6261. Calculate the remainder when j is divided by 569.
30
Let z(d) = 48*d**2 - 33*d + 86. Calculate the remainder when z(6) is divided by 81.
77
Calculate the remainder when 10 - -60*(-7 + (-115)/(-10)) is divided by 9.
1
Let q = -536531 + 536552. Calculate the remainder when (292/(-3))/(2/(-9)) is divided by q.
18
Let m = 619 - 590. Suppose 0 = -30*a + m*a + 12. Calculate the remainder when 23 is divided by a.
11
Suppose -x + 161 = -0*g + 3*g, 5*g + 745 = 5*x. Let j be 1/(-8 + (-453)/(-57)). Let l(n) = n**2 + 26*n + 164. What is the remainder when x is divided by l(j)?
28
Suppose -3*d = -4*u - 668, 1090 = 5*d - 54*u + 52*u. Calculate the remainder when 906 is divided by d.
42
Let z = -4944 - -5087. What is the remainder when z is divided by 97?
46
Let f = -143 + 163. Suppose 14 = -f*c + 21*c. What is the remainder when c is divided by 13?
1
Let x = 114 - 82. Let c = x + 58. Suppose 9*l - c = 162. What is the remainder when 108 is divided by l?
24
Let i = -33137 - -33345. What is the remainder when i is divided by (-3)/9 - (-106)/3?
33
Suppose k + 23 = 91. Let z = 70 - k. Suppose -4*q + 371 = -3*n, q + z*q - 5*n - 270 = 0. What is the remainder when q is divided by 14?
11
Let w = -129 + 134. Suppose 0 = -y + 4*f + 49, 28 = w*y - 3*f - 268. Calculate the remainder when y is divided by 5.
1
Let f = 7 + -3. What is the remainder when 431/13 - 14/91 is divided by 9/(-12) + 55/f?
7
Let c = 0 + 78. Let k be (-955)/(-6) + (-13)/c. Suppose -4*p + k = 2*z + 49, -p + 3 = 0. Calculate the remainder when 93 is divided by z.
44
Calculate the remainder when 48429/19 - (4576/(-152) + 30) is divided by 151.
133
Calculate the remainder when (101234/70 + 7)*60/9 is divided by 95.
93
Suppose 5*b - r - 1503 = 1927, -695 = -b + 2*r. Calculate the remainder when b is divided by 225.
10
Let x = -344 + 235. Let l = -65 - x. Calculate the remainder when 128 is divided by l.
40
Let r(b) = -44*b - 79. Let i be r(-2). Suppose i*m = -0*m + 63. Let z = -47 - -80. Calculate the remainder when z is divided by m.
5
Let c = -450 - -482. Suppose c*j - 175 - 49 = 0. Let z = 126 + -43. What is the remainder when z is divided by j?
6
Let o = 72 + -55. Let y(j) = -j**2 + 17 + 3*j**2 - o*j + 3*j**2. Calculate the remainder when y(7) is divided by 36.
35
What is the remainder when (264/5)/((-72)/(-180)) is divided by 80?
52
Let t(h) be the first derivative of -h**4/4 + 8*h**3/3 - 6*h**2 + 20*h + 35. Let o be t(8). Let s = o + 94. Calculate the remainder when s is divided by 5.
3
Suppose 4*m - 15 = 5. Let k(b) = -3*b + 29. Let p be k(8). Suppose 72 = 2*i - 5*h, p*h + 7 = -5*i + 117. What is the remainder when i is divided by m?
1
Let k = -4577 - -4771. What is the remainder when k is divided by 188?
6
Suppose 11211 = -115*c + 42376. Calculate the remainder when c is divided by 46.
41
Suppose 54756 = -30*l + 143*l + 225*l. Calculate the remainder when l is divided by 36.
18
Suppose -4*k - 5 = 3*f, -k + 9 = 5*f - 3*k. Let y = -18425 - -18432. What is the remainder when f*27 - 6/(-2) is divided by y?
2
Let i(x) = -x**3 - 40*x**2 - 234*x + 44. Calculate the remainder when 260 is divided by i(-33).
117
Suppose 80*k - 6592 + 832 = 0. What is the remainder when k is divided by 19?
15
Let j = 434 + -302. Suppose 0 = -5*t + 3*c - 4*c + 174, c = 4*t - j. Suppose 0 = 2*l + 3*l - 60. What is the remainder when t is divided by l?
10
Let f(r) = 202*r + 330. Calculate the remainder when f(10) is divided by 16.
14
Let x(a) = -8*a + 9*a**2 + 2*a**3 + 3 + 0 - a**3 - 4. Let k = -10012 - -10027. Calculate the remainder when x(-9) is divided by k.
11
Let t(p) = -21*p + 100. Let g(j) = 22*j - 101. Let s(m) = -2*g(m) - 3*t(m). What is the remainder when s(9) is divided by 39?
34
Suppose 125 = z + d, 84 = -5*z - 4*d + 714. Calculate the remainder when 517 is divided by z.
127
Let l = 1864 - 997. Let u = 1024 - l. Let t(b) = b**3 + 7*b**2 - 4. What is the remainder when u is divided by t(-3)?
29
Suppose -6*z + 789 - 789 = 0. What is the remainder when 40/(-24)*-201 - z is divided by 17?
12
Suppose -2961 = -4*a - 3*n + 1520, 5605 = 5*a + 5*n. Calculate the remainder when a is divided by 35.
33
Suppose 109183*w = 109173*w + 420. Calculate the remainder when 1805 is divided by w.
41
Let g = 6986 - 6302. What is the remainder when 2056 is divided by g?
4
Suppose -4*j = -812 - 2544. Suppose -528*r - 120 = -538*r. Calculate the remainder when j is divided by r.
11
Let g(o) = 11*o**2 - 41*o - 39. Calculate the remainder when 1136/6 - (-2)/3 is divided by g(-1).
8
Let s = 110 - 88. Let j = 441 + -348. Calculate the remainder when j is divided by s.
5
Suppose -9607*g - 9608*g - 894 = -19221*g. Calculate the remainder when g is divided by (-1)/2 + 93/6.
14
Suppose 5*a = 4*u - 5442, -5*u + a + 1504 = -5288. What is the remainder when u is divided by 80?
78
Let l(w) = 13*w - 10. Let i = 52 - 47. Let s be l(i). Suppose -7*j + 71 = -s. What is the remainder when 89 is divided by j?
17
Suppose 0 = 8*z + 49 - 273. Suppose -3*m + 8 = -z. What is the remainder when 70 is divided by m?
10
Let s = 878 + -870. Suppose s*b = 2*b + 1092. Calculate the remainder when b is divided by 47.
41
Suppose -2*s - 12*w + 10*w + 14 = 0, -2*w = s - 9. What is the remainder when ((-159)/9)/(((-10)/12)/s) is divided by 54?
52
Let w be (3595/(-10))/(5/(-10)). Suppose 5*a - w = a - o, -2*a = 3*o - 357. Suppose -a = -7*u + 2*u. Calculate the remainder when u is divided by 20.
16
Let u = 10891 + -10872. What is the remainder when 121 is divided by u?
7
Suppose 0 = o - 2*f - 54, -4*o + 30*f = 26*f - 192. What is the remainder when 1714 is divided by o?
34
Suppose 10*c + 0*c = 2*c + 14528. Calculate the remainder when c is divided by 70.
66
Suppose 4*u + 0*u + 886 = 2*g, 4*g + 4*u - 1772 = 0. Suppose -3*m + 4*i + 68 = 0, -404*i = -5*m - 407*i + 65. What is the remainder when g is divided by m?
11
Let h(s) = s**3 - 8*s**2 - 7*s + 8. Let r be h(5). Let q = r - -92. Let p(m) = m**3 + 11*m**2 + 7*m + 6. Calculate the remainder when p(q) is divided by 13.
10
Suppose -s = 6*u - 8*u + 11, 57 = -4*s - 5*u. Let f = 219 + s. Calculate the remainder when f is divided by 26.
24
What is the remainder when (734/8)/((-39)/(-156)) is divided by 162?
43
Let r = -245 + 395. Suppose -5*h - 81 = -g, 0 = 2*g + 4*h - 0*h - 148. Suppose 152 = 80*m - g*m. Calculate the remainder when r is divided by m.
36
Let x(t) = t**3 - 59*t**2 + 414*t - 176. Calculate the remainder when 909 is divided by x(51).
129
Let i(a) = -a**3 + 12*a**2 - 2*a + 49. Let v be i(11). Suppose -h + 8 = h, v = 4*n - 2*h. Calculate the remainder when 230 is divided by n.
35
Let a = -462 + 39. Let b = -389 - a. What is the remainder when b is divided by 12?
10
Suppose 0 = 105*d - 13*d - 184. What is the remainder when 92 is divided by d?
0
Calculate the remainder when 253 is divided by (136/(-204))/(2/(-159)).
41
Let t = 971 - 915. Let w be ((-2)/8)/((-1)/20). Suppose -5*u + 10 = -w. Calculate the remainder when t is divided by u.
2
Suppose -3*y + y - 5*p - 15 = 0, 0 = -2*y - 2*p. Suppose 4*x = 5*x - 2*d, y*d - 25 = 0. Calculate the remainder when x is divided by 4.
2
Suppose -4747*l - 4445 = -4760*l - 103. What is the remainder when l is divided by 21?
19
What is the remainder when (4/6*(-6)/(-12))/((-2)/(-372)) is divided by 36?
26
Suppose 91*r + 15 = 96*r - 3*s, 4*r = 5*s + 12. Suppose 16*w - 174 = -5*p + 13*w, -42 = -p - r*w. Calculate the remainder when p is divided by 6.
3
Suppose -13 = -9*r - 67. What is the remainder when 212 | {
"pile_set_name": "DM Mathematics"
} |
ond derivative of -2*r**3 + 20*r - 29*r**2 + x*r**3 + 5*r**2 wrt r.
-12*r - 48
Let f(d) be the second derivative of 589*d**4/12 - 581*d**3/6 + d - 21. What is the second derivative of f(r) wrt r?
1178
Suppose 4*o - 9 = -1. Suppose 4*v - 5*x - 12 = -x, -o*x = -5*v + 12. What is the second derivative of -c - 4*c**5 + v*c**5 - c + 9*c wrt c?
-40*c**3
Let h be ((-2)/3)/((-1)/3). What is the second derivative of 11*u - 3*u + 27*u**h - 23*u**2 - u wrt u?
8
Let p(k) be the first derivative of 5*k**4/4 + 3*k**2/2 - 51*k - 70. Differentiate p(w) with respect to w.
15*w**2 + 3
Suppose 0*b + 5*b + 16 = -4*r, -3*b - 11 = r. Let q be (1 - 8/b) + 1. What is the second derivative of q*s**2 - 3*s + s + s**2 + 0*s wrt s?
10
Suppose -2*u - 81 = -91. Find the third derivative of -31*v**4 + 3*v**2 + 55*v**4 - u*v**2 wrt v.
576*v
Let p = 5 - 1. Let d(l) be the second derivative of -1/12*l**p + 8*l - l**2 + 0 + 0*l**3. Differentiate d(j) with respect to j.
-2*j
Let k = 41 - 39. Differentiate 5*v**2 - 2*v**2 - 20 - 4*v**2 - k*v**2 with respect to v.
-6*v
Let f(s) be the second derivative of 0*s**2 - 7/12*s**4 + 0*s**3 + 3/20*s**5 + 11*s + 0. What is the third derivative of f(v) wrt v?
18
Suppose 2*j - j = -l + 2, 4*l = 4*j + 24. Let n(f) = -f**3 + 4*f + 3. Let x be n(j). What is the second derivative of -4*k - 6*k**x + 11*k**3 + 5*k wrt k?
30*k
Let k(a) = 12*a**4 - 5*a**3 - 290*a**2 - 5*a. Let q(p) = p**4 - p**3 - p**2 - p. Let l(u) = k(u) - 5*q(u). Find the third derivative of l(f) wrt f.
168*f
Let m(h) be the first derivative of -37 + 1/2*h**4 + 0*h**3 - 52*h + 3*h**2. Differentiate m(v) with respect to v.
6*v**2 + 6
Let s = 405 - 399. Let r = -2 + 8. What is the third derivative of -5*d**r - d**2 + 0*d**s + d**2 - 5*d**2 wrt d?
-600*d**3
Suppose -x + 30 = 4*x. Let h = -4 + x. Find the second derivative of -31*a + 24*a - h*a**2 - 2*a**2 - 2*a**2 wrt a.
-12
Suppose 2*b - b = -8. Let u = b - -13. Find the second derivative of 0*o**5 + 6*o + 2*o**u - o wrt o.
40*o**3
Let m(g) = g**2 - 7*g - 3. Let l be m(8). Suppose -5*s + l = -15. Find the third derivative of 2*t**2 + 4*t**2 + t**s + 7*t**4 wrt t.
192*t
Let f(o) be the first derivative of -12*o**7/7 + 8*o**5/5 + 86*o**3 - 161. What is the third derivative of f(z) wrt z?
-1440*z**3 + 192*z
Differentiate -10*j**3 - j**3 + 12*j**3 - 13*j - 78 with respect to j.
3*j**2 - 13
Find the third derivative of -78*s**5 - s**3 - 26*s**2 - 31*s**2 + 55*s**2 - 3 wrt s.
-4680*s**2 - 6
Let v(t) be the first derivative of -3*t**5/4 + t**2 - 51*t + 40. Let g(i) be the first derivative of v(i). Find the first derivative of g(c) wrt c.
-45*c**2
Let l = 1 + 1. Suppose -l*o = 2*o. Find the third derivative of o*y**3 - 3*y**3 + 2*y**3 + 3*y**2 + 0*y**3 wrt y.
-6
Let t(x) = 4764*x + 3119. Let b(h) = -951*h - 624. Let l(m) = 11*b(m) + 2*t(m). Differentiate l(d) with respect to d.
-933
Let z(x) be the third derivative of 3*x**5/20 - 13*x**4/24 - 2*x**2 - 9*x. What is the second derivative of z(k) wrt k?
18
Let t(o) be the third derivative of o**5/60 - 13*o**4/24 + 16*o**3 + 12*o**2. Differentiate t(q) with respect to q.
2*q - 13
Let t(r) be the second derivative of 535*r**4/12 - 397*r**3/6 + 96*r. What is the second derivative of t(g) wrt g?
1070
Let r = -5 + 26. Differentiate r*w**2 - 4 - 21 - 3*w**2 with respect to w.
36*w
Let l be (-4)/(-6) - 6/(-18). Suppose y = -4*j + 15, -2*y = -3*y - l. What is the third derivative of -j*s + 4*s**4 - 5*s**2 + 4*s wrt s?
96*s
Let i(z) be the third derivative of 53*z**8/168 - z**7/105 + 23*z**5/60 + z**3/3 + 156*z**2. Find the third derivative of i(r) wrt r.
6360*r**2 - 48*r
Let z(p) be the third derivative of -11*p**8/48 + p**5/60 + 16*p**3/3 + 5*p**2. Find the third derivative of z(g) wrt g.
-4620*g**2
Let f(i) be the third derivative of -i**9/252 - i**6/24 - 5*i**5 + 2*i**2 + 26. Find the third derivative of f(h) wrt h.
-240*h**3 - 30
Let r be -6*(-3)/(-18)*-3. What is the third derivative of -11*d**2 - 29*d**r + 8*d**2 + 5*d**2 - 49*d**2 wrt d?
-174
Let j be (-1)/(-1 + 0) - (-783)/1. Find the third derivative of 0 - 755*f**4 + 0 - 18*f**2 + j*f**4 wrt f.
696*f
Let t(v) = 2*v**2 - 8*v**2 - v - v**3 - 5 + 1. Let n be t(-6). Find the third derivative of -2*j**2 - 3*j**4 + 3*j**4 + j**6 + 4*j**n wrt j.
120*j**3
Let x(g) = 36*g - 40. Let p(k) = -7*k + 8. Let w = 73 + -18. Suppose 0*m = -5*m - w. Let i(l) = m*p(l) - 2*x(l). What is the derivative of i(o) wrt o?
5
Let f be (39/65)/((-9)/(-30)). Let l(j) be the first derivative of 1/3*j**3 - 1 + 0*j - 1/2*j**f. What is the second derivative of l(n) wrt n?
2
Let m(c) be the first derivative of c**9/336 + 7*c**6/360 - 4*c**3/3 - 6. Let k(o) be the third derivative of m(o). Find the third derivative of k(d) wrt d.
540*d**2
Let b(j) be the second derivative of -53*j**4/6 + 17*j**3/6 - 3*j**2/2 + j + 8. What is the second derivative of b(d) wrt d?
-212
Let y(c) be the first derivative of -143*c**6/2 - 321*c**2 + 252. Find the second derivative of y(u) wrt u.
-8580*u**3
Let c(j) = -2314*j**2 + 14*j - 1831. Let l(b) = 772*b**2 - 4*b + 611. Let d(g) = -2*c(g) - 7*l(g). What is the first derivative of d(o) wrt o?
-1552*o
Let w(j) be the third derivative of -j**7/35 + j**5/20 + 14*j**3 + 75*j**2. Find the first derivative of w(y) wrt y.
-24*y**3 + 6*y
Suppose -d + 16 = 5. Let u(k) = 4*k**2 - 6. Let r(w) = 3*w - 298 - 3*w + 20*w**2 + 267. Let c(l) = d*u(l) - 2*r(l). Differentiate c(g) wrt g.
8*g
Let s(c) be the third derivative of -59*c**8/168 + 53*c**4/24 + 2*c**2 + 120. What is the second derivative of s(k) wrt k?
-2360*k**3
Let r(a) = -a + a**3 + 0*a + 8*a**2 - 9*a**2. Let j(l) = -2*l**3 - 3*l**2 + 5*l. Let v(b) = j(b) - 3*r(b). What is the second derivative of v(h) wrt h?
-30*h
Let s(z) = -12*z**2 - 25. Let m(r) = 37*r**2 + 73. Let u(x) = -4*m(x) - 11*s(x). What is the first derivative of u(n) wrt n?
-32*n
Differentiate -2*b**4 + 106 - 24 + 22*b**2 + 9*b**2 + 53 - 6 wrt b.
-8*b**3 + 62*b
Find the third derivative of 21*c**2 - 21*c**5 + c**4 - 48*c**2 + 6*c**5 + 19*c**2 wrt c.
-900*c**2 + 24*c
Let v(w) be the third derivative of -91*w**6/40 - w**5/30 - 29*w**4/12 - 250*w**2. What is the third derivative of v(o) wrt o?
-1638
Let y(p) be the third derivative of 79*p**5/15 - 25*p**3/3 + 275*p**2. Find the first derivative of y(o) wrt o.
632*o
Find the third derivative of y**2 - 19*y**2 + 27 + 3 + 12*y**2 + 654*y**5 wrt y.
39240*y**2
Let x(p) be the first derivative of 0*p**5 + 0*p**4 + 6 + 0*p**2 + 0*p + 1/3*p**3 + 13/6*p**6. Find the third derivative of x(f) wrt f.
780*f**2
Find the third derivative of -8*s**6 - 321*s**2 - 343*s**3 + 9*s**6 - 204*s**3 + 377*s**2 - 963*s**2 wrt s.
120*s**3 - 3282
Let r(w) = -62*w**3 - 69*w - 3. Let l(a) = 125*a**3 + 137*a + 5. Let g(q) = -3*l(q) - 5*r(q). Find the second derivative of g(c) wrt c.
-390*c
Let w(c) be the second derivative of c**4/12 - 65*c**3/6 - 152*c**2 + 9*c - 2. Differentiate w(u) wrt u.
2*u - 65
Let n = -283/26 + 174/13. Let x(d) be the first derivative of n*d**2 + 0*d + 0*d**3 + 10 + 0*d**4 - d**6 + 0*d**5. Find the second derivative of x(q) wrt q.
-120*q**3
Let w(o) be the second derivative of -5/6*o**4 + 0*o**2 - 16*o + 1/3*o**3 + 0. What is the second derivative of w(i) wrt i?
-20
Let r(j) be the first derivative of 625*j**6/6 - 66*j**2 - 480. What is the second derivative of r(q) wrt q?
12500*q**3
Find the second derivative of 129*h + 1190*h**2 + 4*h**3 - 565*h**2 - 589*h**2 wrt h.
24*h + 72
Let w(l) = -73*l**2 - 217*l - 3. Let k(t) = -74*t**2 - 211*t - 2. Let r(s) = -3*k(s) + 2*w(s). Find the second derivative of r(o) wrt o.
152
Find the third derivative of -z - 1321*z**2 + 2648*z**2 + 189*z**3 - 1316*z**2 wrt z.
1134
Let j(k) be the second derivative of -k**9/1512 + k**5/20 - k**3/2 + 2*k. Let p(g) be the second derivative of j(g). Find the second derivative of p(l) wrt l.
-40*l**3
Let m be -1 + (4 - -8)/2. What is the second derivative of -18*h**3 - m*h + 21*h - 28*h wrt h?
-108*h
Let h(v) = v**3 - 5*v**2 + v - 2. Let i be h(5). Suppose 3*a = -0 + i. Find the first derivative of -2*q**4 + 3*q**4 - a - 2*q**4 wrt q.
-4*q**3
Let l(w) = w**2 + 13*w + 14. Let x be l(-12). Suppose 5*s - 68 = -8. Find the second derivative of -4*q - s - 2*q**2 + 12 - 2*q**x wrt q.
-8
Suppose -2*l = -2*n + 3*l - 21, 2*n - 29 = | {
"pile_set_name": "DM Mathematics"
} |
.
23
Suppose -24*b - 5*b + 2407 = 0. What is the remainder when b is divided by 31?
21
What is the remainder when 117 is divided by (-4 + (-35)/(-21))*-6?
5
Suppose -3*p = -42 - 39. Let l = 150 + -140. What is the remainder when p is divided by l?
7
Let a = -479 - -981. Calculate the remainder when a is divided by 63.
61
Suppose -233 = -5*w - k, 5*w = w + 2*k + 192. What is the remainder when 186 is divided by w?
45
Let t(p) = -2*p**2 + 23*p + 22. Let o be t(12). Calculate the remainder when 107 is divided by 18*o/(-50)*15/(-2).
26
Let f = -28 - -39. Suppose -f + 76 = 5*g. Suppose 186 = 5*y - 3*d, 0 = -26*d + 30*d + 8. Calculate the remainder when y is divided by g.
10
Suppose 0 = -8*q - 11*q + 11267. Calculate the remainder when q is divided by 119.
117
Suppose -30*z = -34*z + 4*l + 500, -2*l = -5*z + 610. Calculate the remainder when 229 is divided by z.
109
Let v be (-2)/8*(-3380)/13. Let y = -36 + v. What is the remainder when 114 is divided by y?
27
Let a be 497/2 + 4/16*-2. Suppose -4*j + a = -4*n - 0*n, -2*n = -j + 67. Let t(f) = 9*f + 2. Calculate the remainder when j is divided by t(2).
17
Let n be (-74)/(-8) + 1/(-4). Let k be n/6 - (-6)/(-4). Let j(m) = -m**2 - 2*m + 56. What is the remainder when j(k) is divided by 15?
11
Let c be -3*1*6/(-9). Suppose -4*f = c*y - 4, -f + 3*f - 5*y - 26 = 0. Calculate the remainder when 43 is divided by 11/(f - 10/4).
21
Let q = -336 + 395. What is the remainder when 230 is divided by q?
53
Suppose -24*y - 21*y = -3240. Suppose -2*z + 3 = -71. Calculate the remainder when y is divided by z.
35
Let j(m) = 0 - 21*m + 8*m - 9*m - 3. What is the remainder when j(-2) is divided by 11?
8
Let s = -349 - -1159. Suppose -6*i = 3*i - s. What is the remainder when i is divided by 7?
6
Suppose 10*l - 138 = 32. What is the remainder when 66 is divided by l?
15
Let l = 327 + -265. What is the remainder when l is divided by 5?
2
Let f(o) = -9*o**2 + o - 1. Suppose -1 + 3 = 2*c. Let s be f(c). What is the remainder when 9 is divided by (-4)/(-6) - 30/s?
1
Suppose -2*k + 4*p + 98 = 0, 10*p - 61 = -k + 15*p. What is the remainder when k is divided by 9?
5
What is the remainder when 117/7 + (-10)/(-35) is divided by (48/(-96))/((-2)/36)?
8
Suppose 193 = -3*r + h, -2*h + 2 = -0. Let m = r - -79. What is the remainder when 71 is divided by m?
11
Suppose 3*m - 3 - 114 = 0. Let z = 6 - -4. What is the remainder when m is divided by z?
9
Let f(s) = -5*s + 7. Let l be f(-5). Let z = -18 + l. Calculate the remainder when 27 is divided by z.
13
What is the remainder when (16/9)/(-4) - (-3364)/36 is divided by 15?
3
Suppose -w + 58 - 12 = 0. Let d(s) = -s**2 - s + 107. What is the remainder when w is divided by d(9)?
12
Let u(g) = -11*g**3 + g**2 + g. Suppose 3*p - 10 = p + 3*q, -2*q - 9 = p. Calculate the remainder when 20 is divided by u(p).
9
Let m(k) = 3*k - 1. Let r be m(1). Suppose 5*o - r*o - 69 = 0. Calculate the remainder when o is divided by 5.
3
What is the remainder when 21*((-2)/(-5))/((-6)/(-50)) is divided by -12*(10/(-4) - -1)?
16
Let x be (-26)/(-8) - ((-36)/(-16) - 3). Suppose 4*y + 5*i - 42 = 10, x*i - 2 = -y. Calculate the remainder when y is divided by 7.
4
Suppose 5*y + 2*v + 3*v = 245, -231 = -4*y + 3*v. Calculate the remainder when 121 is divided by y.
13
Suppose 108 = 26*s - 23*s. What is the remainder when 176 is divided by s?
32
Suppose -2 - 6 = 4*r - 2*w, -12 = -3*w. Suppose 11*o - 19 - 322 = r. What is the remainder when o is divided by 10?
1
Let c be ((-2)/(-4))/(2/176). Let w = c - 17. What is the remainder when w is divided by (-1 - -4) + (-11 + 0)*-1?
13
Let a = 27 + -13. Suppose -6*b + 69 = 33. Calculate the remainder when a is divided by b.
2
Suppose -28 = -2*p + 22. Suppose -24 - p = -q. Let i = 37 + -20. What is the remainder when q is divided by i?
15
Calculate the remainder when (3 - -27)/10 + 66 is divided by 9.
6
Let c(h) = h + 32. Calculate the remainder when 54 is divided by c(-4).
26
Suppose 5*z = -x + 18, 4*z - 20 = -8. Suppose 100 = 4*d + x*k, -5*d - 7*k + 4*k + 128 = 0. What is the remainder when 83 is divided by d?
27
Suppose 9 + 19 = 4*w + 5*v, -w - 4 = 4*v. What is the remainder when 669 is divided by w?
9
Let g = 569 - 560. What is the remainder when 12 is divided by g?
3
Suppose -4*r - 2 = 2*s, -4*s - 5*r - 10 = s. Let d(z) = -13*z + 4. Let c = 1504 + -1489. Calculate the remainder when d(s) is divided by c.
13
Let s = -147 - -185. Calculate the remainder when 189 is divided by s.
37
Suppose w + 2*a - 18 = 0, 0 = -3*w + 13*a - 12*a + 89. What is the remainder when 30 is divided by w?
2
Let q(f) = -5 - 298*f**2 + 3*f**3 + 2*f + 6*f + 292*f**2. Calculate the remainder when q(3) is divided by 25.
21
Let d(r) = -r**3 - 25*r**2 + 2*r + 13. Let k(j) = j**2 - j - 1. Let p(a) = d(a) + 6*k(a). What is the remainder when p(-19) is divided by 21?
20
Suppose 5*l + 5*n + 845 = 10*l, 4*l - 2*n = 680. Calculate the remainder when l is divided by 12.
3
Let z = 284 + -200. Calculate the remainder when 333 is divided by z.
81
Let z = 87 - 26. Suppose 2*p + 13 = z. What is the remainder when 186/4 - (4 + 42/(-12)) is divided by p?
22
Let y be (-10 - -5)*1/1. Let d = y - -8. Let q = 36 + -26. Calculate the remainder when q is divided by d.
1
Suppose 6*s - 5*i = 3*s + 4, i + 36 = 5*s. Let u be 2/4 - (-12)/s. Suppose u*l - 29 - 7 = 0. What is the remainder when 51 is divided by l?
15
Let o = -5 + 2. What is the remainder when 39 is divided by o*((-21)/(-15))/((-9)/15)?
4
Suppose 12*m = 945 - 357. Calculate the remainder when 117 is divided by m.
19
What is the remainder when 98 is divided by 0 - (-4 - -2) - 77/(-1)?
19
Suppose -4*k - 24 = k + 2*q, 4*q + 18 = -5*k. What is the remainder when 1 + 0 - (-32)/1 is divided by k*(-40)/15 - 4?
9
Let d be -7*2*(-5)/10. Suppose 0 = -3*q + 38 + d. Calculate the remainder when 25 is divided by q.
10
Let x be 3/(9/1)*66. Suppose -g = g + 5*w - 13, 2*g - x = 4*w. Calculate the remainder when g is divided by 5.
4
Let h = 259 + -136. Calculate the remainder when h is divided by 43.
37
Suppose 232 + 317 = 3*j. What is the remainder when j is divided by 58?
9
Suppose 9*w = 4*w - f, 0 = -4*w + 4*f. Suppose 0 = -x - w*x + 15. Calculate the remainder when x is divided by 5.
0
Let v = -1812 + 1287. What is the remainder when 29 is divided by v/(-50) + (-1)/(-2)?
7
Suppose y - l = 2*l + 10, -3*y = -5*l - 22. Suppose -5*a - 2 + 12 = 0, 4*q - 4*a = 4. Suppose -9 = -2*k + q. What is the remainder when k is divided by y?
2
Let m(o) = -o**3 + 5*o**2 + 24*o + 4. What is the remainder when m(-5) is divided by 5?
4
Let l = 39 + -37. Suppose -6*y + 2*y - 5*d = 27, -5*d = -5*y. Let u = y - -7. What is the remainder when u is divided by l?
0
What is the remainder when 109 is divided by 10/((-12)/(-30) + 0)?
9
Let x = -262 - -277. What is the remainder when 238 is divided by x?
13
Suppose 4*a - v = 42, -5*a + 5*v - 3*v + 54 = 0. What is the remainder when (6 - (-92)/8)*24/15 is divided by a?
8
Suppose 2*u - 610 = -2*a, 2*a + 3*a = -u + 317. What is the remainder when u is divided by 34?
30
Suppose 2*d - 18 = -5*m, 0*d - 10 = -3*m - d. Suppose 3*p = -l - 0*l + 10, 0 = p - m*l - 8. Suppose -y = -p - 7. What is the remainder when 31 is divided by y?
9
Let k be 350/(-42)*3/(-1). Let l = k - 19. Calculate the remainder when l is divided by 10/(-10) - 3*-1.
0
Let y(z) = -z**3 + 13*z**2 + 4*z - 36. What is the remainder when 23 is divided by y(13)?
7
Let i = 426 - 397. Suppose a + 1 = -2*j, 5 = -0*j + 5*j + 4*a. What is the remainder when (j/6)/(1/(-114)) is divided by i?
28
Let h(d) = -d**3 + 7*d**2 + 3*d. Let v(x) = x**2 + 5*x + 4. Let z be v(-5). Suppose z*c - 12 = 44. Calculate the remainder when h(6) is divided by c.
12
Suppose 5*j - 4*j = -4*w + 193, -4*j = 2*w - 114. Suppose 0 = 8*p - 190 - 2. What is the remainder when w is divided by p?
23
What is the remainder when 351 is divided by 6/(-15*(-1)/20)?
7
Suppose 5*s - 11*s = -6. Suppose -2*o - s = -9. What is the remainder when 16 is divided by o?
0
Suppose 21*d - 2427 = -621. Let h(r) = -1. Let c(j) = 22*j + 4. Let k(q) = -c(q) - 4*h(q). What is the remainder when d is divided by k(-1)?
20
Let r = -874 + 2365. Calculate the remainder when 41 is divided by (-6)/8 - r/(-84).
7
Let b = -30 - -74. Let x be (4/(-5))/(1/(-5)). Sup | {
"pile_set_name": "DM Mathematics"
} |
is the units digit of v?
6
Let p = 449 - -124. What is the tens digit of p?
7
Let c be (-6)/14 + (0 - 45/(-7)). Suppose 4*p = -r + 517, 2*r = p - c*p + 647. What is the units digit of p?
9
Suppose -10*x = -13*x + 267. Suppose b = -0*b + x. What is the tens digit of b?
8
Let c = 28 + -28. Suppose c = -3*l + 4*j + 149, -l + 55 = -2*j - 2*j. Suppose -2*i + 175 - l = 0. What is the tens digit of i?
6
Let b = -23 + 27. Suppose b*z - 24 = 3*z. Let l = z + -2. What is the tens digit of l?
2
Let z be (-400)/28 - 4/(-14). What is the units digit of (-244)/(-14) + 6/z?
7
Suppose -771*a = -776*a + 15. What is the units digit of a?
3
Suppose 2*a + 13 = 267. What is the units digit of a?
7
Suppose 4*a - 4164 = -4*y + 4224, a = -5*y + 10469. What is the hundreds digit of y?
0
Suppose -5*y - 12 = -y, -2*x + 5*y = 1. Let g = 5 + x. What is the tens digit of (-11)/(g/(-3) + -2)?
1
Let m be ((-30)/(-9))/(-5)*450/(-12). Let t = 10 + m. What is the tens digit of t?
3
Suppose 32 = -t - 4*f, -3*t = -5*t + 3*f - 31. Let z = 71 - t. What is the units digit of z?
1
Suppose 615 = 5*q - 2*l, -q + l = -6*q + 600. Let p = 251 - q. What is the units digit of p?
0
Let q(m) = 383*m**3 - m**2 - 14*m + 36. What is the units digit of q(2)?
8
Suppose -951 = -2*u - u. What is the tens digit of u?
1
Suppose 0 = -m + 25 + 8. Suppose -1914 = 6*f - 4*f + 3*p, 2*p + 8 = 0. What is the units digit of 6/m + f/(-33)?
9
Let a = 456 + 219. What is the units digit of a?
5
Let l(r) = -r**2 - r - 1. Let b(d) = 2*d**2 + 2*d - 15. Let a(z) = -b(z) - 4*l(z). What is the units digit of a(-6)?
9
Let u(d) = d**3 - 12*d**2 + d - 9. Let l be u(12). Let i = 5 + -2. What is the units digit of i/(l/(-15)*-1)?
5
Let g(c) = -c**2 - 9*c + 4. Let f be g(-9). Suppose -2*j + f = -0*j. Suppose -u - 161 = -5*b, -j*b + 7*b + 4*u - 181 = 0. What is the tens digit of b?
3
Let q = 5 - 8. Suppose 30 = -16*w + 14. What is the tens digit of q - 3/w - -16?
1
Suppose -3*d - 46 = -4*u, -u + 2*d - 26 = -4*u. Let j = -5 - -9. Suppose -j*h = -6 - u. What is the units digit of h?
4
Let r be (0 - 2/4)*-4 - -1. Suppose r*h = 136 - 4. What is the units digit of h?
4
Suppose 5*m - 341 = v, -3*v + 371 = 4*m + 83. Let y = 135 - m. What is the units digit of y?
6
Let b = -901 - -1156. What is the units digit of b?
5
Suppose 4*v = 2 + 26. Let n(q) = 3*q**2 - 18*q + 9. What is the units digit of n(v)?
0
Let l(m) = -17*m + 4. Let c be l(-2). Let g = -11 + c. Suppose 2*k + 2*s - g = 5*s, 5*s = 15. What is the tens digit of k?
1
Let f = 408 + 749. What is the units digit of f?
7
Let c = -7 + 1. Let l(k) = k**2 + k - 1. Let w(m) = 2*m**2 - m - 4. Let y(a) = 4*l(a) - w(a). What is the tens digit of y(c)?
4
Let l(a) = 2*a**2 + 2*a - 10. Let p be l(-5). Let y = 95 - p. What is the tens digit of y?
6
Let v(k) = 7 + 6 - k**2 - 10*k + 0*k**2. Let h be v(-11). What is the units digit of (4 + -2)/(h/28)?
8
Let p = 197 - 86. What is the units digit of p?
1
Suppose -x + 1 + 3 = 0, 2*x = -s + 100. What is the units digit of s?
2
Let c be (-6)/(-5)*30/9. Suppose -57 = -c*d - 9. Suppose -d = -r + 4. What is the units digit of r?
6
Let k(m) = 2*m**2 - 5*m + 1. Let p be k(5). Let z = p + -23. Suppose z*x - 4*r = 85, -43 = -4*x + r + 92. What is the tens digit of x?
3
Let u(y) = 2*y**3 - 5*y**2 - 4. Let s be u(4). What is the units digit of 7 + s - 2/(-1)?
3
Suppose 3*k - 581 = 727. What is the tens digit of k?
3
Suppose 4976 = -43*m + 51*m. What is the hundreds digit of m?
6
Let w be (-6)/(-15) - (-218)/5. Suppose 11*g - 6*g = -140. Let f = w + g. What is the units digit of f?
6
Let c be -6*1/(-2) + -67 - -1. Let i = c - -202. What is the hundreds digit of i?
1
Suppose 0 = 15*w - 2*w - 104. What is the units digit of w?
8
What is the units digit of (-6 - -8 - 3)/((-2)/1198)?
9
Let j = 231 + -324. Let n = j + 145. Suppose 0*h - 4*h = -n. What is the tens digit of h?
1
Let h = 1 - -3. Let q(c) = -c**3 + 29*c**2 - 91*c - 45. Let j be q(25). Suppose -h*y + j = -4*b, -3*y - 4*b + 96 = -y. What is the units digit of y?
6
Suppose -3*m - 3*u = -2781, -5*m + 10*m + 4*u = 4640. What is the units digit of m?
2
Let i = 17 - 17. Suppose 4*z - z - 147 = i. What is the units digit of z?
9
Let h be (-1*2)/(2/(-7)). Let f be ((-14)/(-3))/h*6. What is the tens digit of 19*2*(5 - f)?
3
Let i(t) = 5*t - 1. Let a be i(3). What is the tens digit of 1002/14 + 6/a?
7
Suppose 0 = 4*x - 2*z - 8500, -2*z + 4238 = 13*x - 11*x. What is the hundreds digit of x?
1
Suppose -10*t - 9 = -11*t. Suppose -t*k = -0*k - 2475. What is the hundreds digit of k?
2
Suppose -5*i + 2*a + 3*a = -25, 3*i = -4*a + 50. Let o = i - -171. What is the tens digit of o?
8
Let s = -18 + 17. Let o(l) = 2*l**2 - 6*l - 5. Let x be o(5). Let y = x + s. What is the tens digit of y?
1
Let m = 154 + -95. Let w be ((-25)/4)/((-3)/(-12)). Let r = w + m. What is the units digit of r?
4
Let z(n) = 10*n - 8. Suppose -3*b = -2*j + 26, -j - 11 = -4*b - 34. What is the units digit of z(j)?
2
Suppose 0 = 33*n - 18*n - 14655. What is the hundreds digit of n?
9
Let w(b) = 13*b**2 - 11*b + 6. What is the tens digit of w(-5)?
8
Let i = 167 - 118. Let s = 34 + i. What is the units digit of s?
3
Let f(s) = -2*s**2 - 2*s - 1. Let u(a) = -a**2 - a. Let y(x) = 2*f(x) - 5*u(x). Let j be y(0). What is the units digit of 3 + 6/j + 7?
7
Let l = -9 - -53. Suppose l = 4*x - 52. What is the tens digit of x?
2
Suppose 22694 = 6*t + 7520. What is the units digit of t?
9
Let v(y) = 23*y**3 + 3*y**2 + y + 2. Let b be v(3). Suppose 5*m = 15, -b = -5*u - m - 75. What is the hundreds digit of u?
1
Suppose 0 = x + m + m - 17, -49 = -5*x + 2*m. What is the tens digit of x?
1
Let q be 10/(-25) + 1962/5. Suppose -9*v - q = -13*v. Let s = -30 + v. What is the units digit of s?
8
Suppose 82 - 9 = q. Suppose 22 = 2*r - 4*z, q - 10 = 3*r + 4*z. What is the tens digit of r?
1
Let k(j) = j**3 - j**2 - 1. Let i be k(2). Suppose -2*x = i*x - 435. Suppose -x = -4*y - 5*m, 3*y - m - 44 = 7. What is the units digit of y?
8
Suppose -52395 - 9291 = -46*w. What is the hundreds digit of w?
3
Suppose -3*m - 17 = -3*v - v, 3*v - 49 = -5*m. Suppose n - v = -3*n. Suppose n*t = -u + 13, -4*t + 3 = 4*u - 45. What is the tens digit of u?
1
Let u = -180 + 60. Let g be u/18*3/(-2). Suppose 6*v - g*v = -228. What is the units digit of v?
7
Let x(p) be the second derivative of -p**3/3 - 8*p**2 - 11*p. Let u be x(-9). Suppose -4*v - 5*s = -60, -u*s = 3*v + s - 48. What is the tens digit of v?
2
Let l = -20 + 33. Suppose l*w - 1471 = 986. What is the tens digit of w?
8
Suppose 0 = -4*m - 16, r - 5 = 5*m - 3*m. Let l(g) = -g**2 - 3. Let p be l(r). What is the tens digit of 580/16 - (-3)/p?
3
Suppose 0 = 49*b - 87582 - 147618. What is the tens digit of b?
0
Suppose 2553 - 928 = 5*z. Suppose 9*s = 4*s + z. What is the units digit of s?
5
Let g = -103 + 566. Suppose 2*o + w = g, -9*w + 4*w = -4*o + 961. What is the units digit of o?
4
Suppose 0*t - t + 4 = 0. What is the units digit of (42/4)/(3/t)?
4
Let x(t) = -18*t - 1. Suppose 11*v - 10*v + 6 = 0. What is the hundreds digit of x(v)?
1
Let q(f) be the first derivative of 14*f**2 - 13*f + 16. What is the tens digit of q(6)?
5
What is the units digit of (-14 + 35016/84)/(2/14)?
0
Let s = -44 - -14. Let i = -16 - s. What is the tens digit of i?
1
Let z(a) = -a**3 - 20*a**2 - 19*a + 5. Let n be z(-19). What is the hundreds digit of 2408/20 + (-2)/n?
1
Let o(i) = 19*i**2 + 36*i - 88. What is the tens digit of o(12)?
8
What is the tens digit of (-18)/(-12) - (40788/8)/(-11)?
6
Let a(k) be the second derivative of -k**3/6 - k**2/2 - 8*k. Let f be a(-9). What is the tens digit of (-56)/(-10)*(f - 3)?
2
Let f = 303 - 177. Suppose 0 = -0*t - 2*t - a + 117, -2*t - 4*a = -f. What is the tens digit of t?
5
Suppose -4*y - 5*j - 2035 = -9*y, -5*y + 2035 = -j. What is the units digit of y?
7
Let v(r) = 5*r**2 + 2*r + 1. Let q be v(-1). Suppose 4*n = q + 16. Suppose -2*t + n*x = -63, -3*t + 4*x = -6*t + 152. What is the tens digit of t?
4
Let b(j) = -41*j - 1016. What is the thousands digit of b(-54)?
1
Suppose -2*m + 5*m - 2*w - 1439 = 0, 0 = 2*m + w - 957. What is the tens digit of m?
7
Let g be 337/3 + (-12)/9. Let u = g - 23. What is the units digit of u?
8
Let z(q) = 10 - 15 + 64 + 5 - q. What is the units digit of z(18)?
6
What is t | {
"pile_set_name": "DM Mathematics"
} |
et x(y) = -y. Let u(j) = f*a(j) + 35*x(j). What are the prime factors of u(2)?
2, 7
Suppose -5*k + l + 177 = 0, -3*k - 2*l + 106 + 8 = 0. Let m = -21 + k. List the prime factors of 3/(((-12)/m)/(-4)).
3, 5
Let j(d) = 22*d**2 + 1. Let w be j(-1). Suppose 4*y + 2*q = -y + w, -1 = y - q. Suppose 0 = -y*v + x + 47, 2*v - 12 = -5*x + 8. List the prime factors of v.
3, 5
Suppose 0 = 3*k - 2*b - 15 + 3, 5*b - 8 = -2*k. What are the prime factors of (-2)/k*2 - -27?
2, 13
Let p(k) = -3*k - 4. Let u be p(-3). Let q = u - 5. What are the prime factors of (-1)/(q + (-2)/4)?
2
Suppose -2*n + 3*w = -31, -2*w - 1 = -w. List the prime factors of n.
2, 7
Suppose 2*b = 7*b - 340. Suppose 3*w = -2*w - v + 58, -4*v = -5*w + b. List the prime factors of w.
2, 3
Let a(n) be the first derivative of n**4/4 + n**3/3 - 2*n + 1. List the prime factors of a(2).
2, 5
Let q = -2 - -2. Suppose 14 = -q*g + g. List the prime factors of (g/4)/((-1)/(-2)).
7
Let n = 127 - 88. What are the prime factors of n?
3, 13
Let i(d) = -4*d. Let z be i(-1). Suppose -h + 35 = -3*l, -29 - 9 = -h + z*l. What are the prime factors of h?
2, 13
Let x(r) = r + 3. Let j be x(0). Suppose -4*a - 2*k + 34 = -a, 4*a + j*k - 45 = 0. List the prime factors of a.
2, 3
Suppose -1 - 6 = -h. What are the prime factors of 14/(-4)*(-4)/h?
2
Suppose 3*s - 111 = 54. List the prime factors of s.
5, 11
Let l(w) = -w. Let r be l(0). Let t(y) = -y + 3. What are the prime factors of t(r)?
3
Suppose 0 = -2*b + b + 13. What are the prime factors of b?
13
Let w(n) = 9*n + 46. List the prime factors of w(6).
2, 5
Suppose 0*o + 4*o - 18 = -3*u, 0 = -2*u - 2*o + 14. Let y = -6 + u. List the prime factors of ((-4)/8)/((-1)/y).
2
Let j(f) = f**3 - 2*f**2 - 5*f - 2. List the prime factors of j(4).
2, 5
Let q be (-100)/26 + (-14)/91. Let i(z) = 4*z**3 - 2*z**2 + 2*z + 1. Let x(v) = v**3 + 1. Let c(b) = i(b) - 5*x(b). What are the prime factors of c(q)?
2, 5
What are the prime factors of (-4428)/(-28) - (-3 - (-22)/7)?
2, 79
Let l be (2 - -3)*(-72)/10. Let c = l - -50. List the prime factors of c.
2, 7
Let p(x) be the first derivative of -x**4/4 - 2*x**3 - 3*x**2 - 1. Let l(u) = -u**3 + 7*u**2 - 8*u + 7. Let j be l(6). What are the prime factors of p(j)?
5
Let b = 23 + -33. What are the prime factors of (-82)/b - 7/35?
2
Let f be (10 - 5)/(3 + -2). Suppose f*t + 6 = b, 5*b + t + 3*t - 146 = 0. Suppose -45 = -5*l - 5*q, b = 3*l - 3*q - 7. List the prime factors of l.
2, 5
Suppose -281 + 1301 = 4*r. List the prime factors of r.
3, 5, 17
Let n(p) = -p**3 + 10*p**2 + 14*p - 3. Let i be n(11). Let b = -17 + i. List the prime factors of b.
13
Let m(h) be the second derivative of -1/2*h**2 + 17/6*h**3 + 0 + h. List the prime factors of m(1).
2
Let x(u) = 12*u**2 + u + 1. Let w(l) = l - 5. Let j be w(10). Suppose 2*s = -3*s - j. What are the prime factors of x(s)?
2, 3
Suppose 3*i = 6*i + 21. Let m = -4 - i. Suppose -r = -m*r + 8. List the prime factors of r.
2
Suppose 17 + 28 = 5*o. Suppose -o - 3 = -4*p. Suppose 0 = -3*t + p*r + 54, 4*r - 63 = -4*t - t. What are the prime factors of t?
3, 5
Let a = 6 + -4. Let h(j) = 4 - a*j + 1 - 3. List the prime factors of h(-5).
2, 3
Let a = -622 + 901. What are the prime factors of a?
3, 31
Let p = -9 - -16. Let i be ((-12)/p)/((-2)/14). Let z = -5 + i. List the prime factors of z.
7
Suppose -2*p + 4*v = -66, p + 2*v = -4*p + 165. List the prime factors of p.
3, 11
Suppose 148 = 2*h + 4*k, 0 = -4*h + 2*h + 4*k + 108. Suppose -a - a = -4, -2*z + 3*a = -h. What are the prime factors of z?
5, 7
Suppose 0 = -3*g + 4*d + 955, -2*g = -g + 5*d - 350. List the prime factors of g.
5, 13
Let b be 4/(-18)*-3*3. Let d(j) = 5*j**3 - j**2 + j - 1. What are the prime factors of d(b)?
37
Let v(m) = 2*m**2 - 14*m - 15. Let n be v(12). Suppose -3*w = 2*w - n. What are the prime factors of w?
3, 7
Let k = -38 + 76. What are the prime factors of k?
2, 19
List the prime factors of 3/(-12) + 2152/32.
67
Let u(o) = -o + 12. Let r be u(7). Suppose 2*z = 5*h - 0*h - 135, 0 = r*h - 4*z - 135. List the prime factors of h.
3
Suppose -2*t + 2*a - 6 = 6, t + 2*a = 0. What are the prime factors of -16*((-6)/t + -2)?
2
Let x = -232 - -400. List the prime factors of x.
2, 3, 7
List the prime factors of ((-21)/(-14))/((-2)/(-284)).
3, 71
Suppose 2*p = 5*p. Let w = 9 - p. What are the prime factors of w?
3
Let t(v) = v**2 + 3*v + 4. Let x be t(4). Suppose -7*f + 3*f + x = 0. List the prime factors of f.
2
Let z(r) = -2*r**3 + 4*r**2 - 2*r - 2. Let w be z(4). Let i = 103 + w. What are the prime factors of i?
29
List the prime factors of (3 + -19)*14/(-4).
2, 7
Let n = 270 - 176. List the prime factors of n.
2, 47
List the prime factors of 44/16*(-1 + 16)*4.
3, 5, 11
Let i be (2 + -1)*6/2. Suppose 12 = -0*v + i*v. Let t = v + 5. List the prime factors of t.
3
Suppose 257 + 151 = 17*d. List the prime factors of d.
2, 3
Let i(l) = -2 + 0 + 2*l + 0*l. List the prime factors of i(7).
2, 3
List the prime factors of ((-4)/6)/(8/(-3156)).
263
List the prime factors of 88 + (-9)/((-36)/(-8)).
2, 43
Suppose 5*o = 206 + 104. What are the prime factors of o?
2, 31
Let o = 7 + -14. Let v be 57*(-4 - 65/(-15)). Let u = o + v. What are the prime factors of u?
2, 3
Suppose 6*c - c = 0. Suppose -4*p - x = -c*x + 27, -9 = -2*p - 5*x. Let t(b) = -2*b - 8. List the prime factors of t(p).
2
Let s = 10 - 8. Suppose h + 5*p + 14 + 2 = 0, -5*h + 55 = -s*p. What are the prime factors of h?
3
Let p = 1 + 3. Suppose q + 60 = 5*q + 5*y, -p*y - 15 = -q. What are the prime factors of 57/q - (-2)/10?
2
Let x(d) = d - 8. Let u be x(9). Let a = 11 - u. What are the prime factors of a?
2, 5
Let w(r) = -r - 6. Let h be w(-5). Let z be h*(-4)/((-8)/6). What are the prime factors of 42/9 - (-2)/z?
2
Suppose 5*y - y - f - 4 = 0, -2*f + 8 = 0. Let d = 14 - y. List the prime factors of d.
2, 3
Let a be (-1*1)/(4/(-88)). Let m be (-6)/33 + (-62)/a. List the prime factors of -5 + 3 - 39/m.
11
List the prime factors of (-6)/(-2) + (4 - 4).
3
List the prime factors of 1 + 9/(-12)*-4.
2
Let q(g) be the second derivative of -g**8/6720 + g**6/720 + g**5/40 + g**4/4 - 2*g. Let l(f) be the third derivative of q(f). List the prime factors of l(0).
3
Let p = 1 + 25. List the prime factors of p.
2, 13
Suppose 6*f - 5*f - 178 = -3*h, 2*f + h = 376. What are the prime factors of f?
2, 5, 19
Suppose 4*n + 4*j = -8, 8*n + 16 = 3*n + j. Let a be (-2 - 0) + (4 - n). Suppose -a*x = -3*x - 4. List the prime factors of x.
2
Let i(n) = -14*n + 15. What are the prime factors of i(-5)?
5, 17
Suppose 5*t - 18 + 1 = -3*q, -4*t = -4. Let w(b) = 7*b - 9. List the prime factors of w(q).
19
Let c = -4 + 40. Suppose 10 = 3*q - 5. Suppose -q*p + c = -p. List the prime factors of p.
3
Let h(x) be the second derivative of x**7/2520 + x**6/360 + x**5/30 + x**4/6 + 4*x. Let v(s) be the third derivative of h(s). List the prime factors of v(-4).
2, 3
Suppose 0 = 13*x - 679 - 946. What are the prime factors of x?
5
Let n = 223 - 117. What are the prime factors of n?
2, 53
Let m be (148/6)/((-6)/36). What are the prime factors of (-4)/(-6) + m/(-12)?
13
Let h(a) be the third derivative of -1/60*a**5 + 0*a**3 + 0 - 4*a**2 + 7/24*a**4 + 0*a. List the prime factors of h(6).
2, 3
Suppose 0 = 7*p - 539 - 126. List the prime factors of p.
5, 19
List the prime factors of 56 - 3 - (-3 - -5).
3, 17
Let u be 2/7 + (-47)/(-7). List the prime factors of (u - (-1 + 3))*4.
2, 5
Let i(p) = 3*p**2 + p + 2. What are the prime factors of i(-2)?
2, 3
Suppose h + 3*h = -20. What are the prime factors of 4/(-1) - 160/h?
2, 7
Let l(w) = -w**2 + 6*w + 3. Let n(y) = y**3 + 7*y**2 + 5*y - 2. Suppose -3 - 3 = k. Let b be n(k). List the prime factors of l(b).
11
Let m(y) = 5*y + 5. Let g be m(4). Suppose g = 3*z - 2*b, 5*b + 13 = z - 17. List the prime factors of z.
5
List the prime factors of -1 + 0 + (-1 - -66).
2
Let k = 78 + 18. What are the prime factors of k?
2, 3
Let l = 247 - 136. List the prime factors of l.
3, 37
Let m(z) = z**2 + 7*z + 8. Let n be m(-6). Suppose 4*d = n*d + 70. List the prime factors of d.
5, 7
List the prime factors of (-1)/(-2) + 342/4.
2, 43
Let h(g) = g**3 + 7*g**2 - 10*g - 11. Let a be h(-8). Suppose a*t = u + 226, 3*t = 5*u + 89 + 29. What are the prime factors of t?
2, 23
What are the prime fac | {
"pile_set_name": "DM Mathematics"
} |
m = 320.4 - 444.95. Let g = m - -124. Let w = 45.55 + g. Is 2/7 less than w?
True
Let d = -30.3 + 30.3. Are d and -469 equal?
False
Let k be (69/(-10) - -7) + (-2)/4. Let h be (-4)/(8/6) - 37/(-4). Is k > h?
False
Let i be 5/(-25) - (-37)/135. Suppose 39*r + 11 = -45*r + 95*r. Is i less than r?
True
Let h be ((-2)/5)/((-760)/(0 - -2)). Let z = h - 719/6175. Let w = 10 - 9.9. Is w bigger than z?
True
Let u = -586.1 + 586. Is u smaller than -205?
False
Suppose 3*g = 2*y + 27, -9*g = -3*y - 11*g - 60. Let x be 42/y - 2/3. Which is greater: 71 or x?
71
Let l(b) = -18*b - 91. Let t be l(-5). Let w be ((-70)/(-21))/(2/((-30)/65)). Which is smaller: w or t?
t
Let o(s) = 5*s - 3. Let n be o(0). Let c = -1 + n. Let g be (-2 - c) + 264/(-134). Which is greater: g or 0?
g
Let k = 7391 + -7490. Which is greater: -33 or k?
-33
Suppose 3*v - 101 + 20 = 0. Suppose v - 18 = 9*x. Which is smaller: x or -2/99?
-2/99
Let p = 640387 + -18452751403/28815. Which is greater: 1 or p?
1
Let u = -372.4 - -372.5. Are u and 2.364 non-equal?
True
Suppose 14*q + 3*w - 7 = 9*q, 0 = 5*q + 4*w - 11. Which is bigger: -4/87 or q?
-4/87
Let p = -325 + 276. Let l = 424.8 + -472. Let t = l - p. Which is smaller: t or -2?
-2
Suppose 5*i - 51 = -21. Suppose x + x = 0. Suppose x = p - 5*j - 5 - i, -2*p = j. Which is bigger: -12/29 or p?
p
Let i = -29 + 42. Let g = i - 15. Let k = 0.3564 - 0.0564. Is g bigger than k?
False
Let x be (191 + -190)*2/14. Is -536 at least x?
False
Let p(f) = 49*f - 1. Let b be p(-1). Suppose 63*r - 73*r + 2680 = 0. Suppose 24*w = -r - 908. Do b and w have the same value?
False
Let b(f) = 4*f**3 - 2*f**2 + 2*f + 2. Let a be b(-2). Let v be -2 + 0 + a/(-2). Suppose -87*h - 10*h = -15*h - 1640. Which is bigger: h or v?
h
Let q(r) = -2*r**2 - 20*r - 9. Let z be q(-9). Let c be (-3)/z + (-188)/3. Is -63 at most c?
True
Let k be 33/(-4)*(-6 + 2). Suppose -5*g = 20, -2*f - 1 = 5*g - 51. Is f bigger than k?
True
Let s be ((-6)/(-7))/(((-10)/24)/((-50)/(-90))). Let z(n) = -n**3 + 2*n**2 - n + 2. Let k be z(2). Let u(t) = -t. Let l be u(k). Is l bigger than s?
True
Suppose -3*k - 22 = 5*q, 0 = 14*q - 19*q - 25. Which is smaller: 3/898 or k?
3/898
Let d = 145657/180 - 809. Let c = d - -11/45. Which is bigger: c or 0?
c
Suppose -78 = -o - 80. Let q be o/4 - 396/168. Are q and -4 nonequal?
True
Let n(u) = 2*u**3 + 23*u**2 + 5*u - 3. Let k be n(-9). Suppose 360*a - 12 = k*a. Which is smaller: 25 or a?
a
Suppose 0 = 59*x + 35202 + 375. Does x = -601?
False
Suppose -28*x + 4100 = 22*x. Is x >= 77?
True
Suppose 0 = 11*j + j + 1140. Let i be (-2 - j - 0)*26/(-39). Is -64 at least i?
False
Let n(t) = -2213*t**2 + 37*t - 39. Let a be n(1). Which is bigger: a or -2213?
-2213
Let o = 56893/972594 + -25/434. Is 1 less than or equal to o?
False
Let l = -2.45 - -2.35. Let i be 2/(-12)*(-10 + 540/65). Which is bigger: i or l?
i
Let o = -29 - -25.4. Let a = 7222 + -7220. Does o = a?
False
Let o = -21501/3615602 + 11/2374. Suppose 2223*k = 4379*k - 2196*k - 40. Which is smaller: k or o?
k
Let a be 2/(-4)*-4 + 5. Let m = 37/5 - a. Let n = 2674 + -114985/43. Which is greater: m or n?
m
Let m = -2140.9 - -2141. Are m and 84 equal?
False
Let q = 3.782 - 0.082. Let f = 33.3 + -30. Let u = q - f. Is 5/7 greater than u?
True
Let h = 767062303/3016 - 254331. Which is greater: h or -1?
h
Let u = 0.47 - 1.47. Which is smaller: u or -31/41?
u
Suppose 948 + 684 = 16*v. Let f = v + -922/9. Let m(t) = -t + 1. Let r be m(1). Which is bigger: r or f?
r
Let q = -5 - -36. Let g = 43 - q. Let r(n) = -n**3 - 19*n**2 + 16*n - 69. Let x be r(-20). Which is smaller: g or x?
x
Let d = -77/123 + 277/246. Is d < 407?
True
Let x(a) = a**3 + 2*a**2 - 21*a - 21. Let g be x(-1). Is -20/447 at least g?
False
Let j = 1762 + -1862. Which is smaller: 6.6 or j?
j
Let s be 0/1 - (-7 + (-35)/(-7)). Let i be (s/(-4))/((-9)/(-18)). Is i at most as big as -15/14?
False
Let v = -1198 + 5809/5. Let m = 124 - 160. Is m <= v?
False
Suppose 5*y + 2*q - q + 5 = 0, -y - 2*q - 10 = 0. Are -1/2458 and y unequal?
True
Let f be (155/3)/(64/(-12) + 7). Suppose -2*a + 59 = 5*b, 0*b - 4*b + 92 = 3*a. Does a = f?
False
Let i be 207/23 - (-4)/(-2). Let r be -2 + i + -3 + (-9)/4. Which is smaller: -42 or r?
-42
Let y = -1 + 21. Suppose -y = -8*z + 3*z, 0 = -f - 2*z + 6. Let a be 4/14 + (44/(-7) - f). Which is smaller: -2 or a?
a
Let u(a) = -a**2 - 33*a - 91. Let j be u(-3). Is 2/7267 at least j?
True
Let k = 136 + -134. Suppose k*t + 14 = 12. Which is smaller: -19/8 or t?
-19/8
Let z be (-1 - -2)*(-3 - -7). Suppose -3*r + 91 = z*r. Let v = 2520 - 2506. Which is smaller: v or r?
r
Let d be ((-33)/(-2))/(18/96). Let a = d + -89. Let o = 12.52 - 12. Is a <= o?
True
Suppose 4*y + 3 + 0 = -5*z, 3*y = -5*z - 1. Let s be (3/150 - -1) + (y - -1). Let g(k) = k**3 - 2*k**2 + k + 1. Let d be g(1). Are d and s equal?
False
Let j = 50 - 88. Let v(y) = -3*y**2 - 91*y - 69. Let f be v(-29). Let m = f + j. Is 10 at most m?
False
Let h = 8.454 + -0.154. Let u = 8.1 - h. Which is greater: u or 0.142?
0.142
Let y = -16 - -48. Suppose -637 = -32*w + 291. Which is smaller: w or y?
w
Let v be (-78)/(-260)*-10 + 3/(-1). Is v at most as big as -154/25?
False
Let h be 15/27 + (-40732)/73350. Do 0 and h have different values?
True
Let q = 5182.4 + -5183. Which is greater: -520 or q?
q
Let g(v) = v**3 + 16*v**2 - 21*v + 42. Let t be g(-17). Suppose -18*k + 7*k + t = 0. Do k and 10 have the same value?
True
Let i be (5 + (-1 - 11/2))/(13/(-24)). Which is greater: i or 4?
4
Let u(f) = -f**3 - 6*f**2 + 25*f - 16. Let s be u(-9). Let k be 5/s*1/((-20)/216). Which is greater: k or -28?
k
Let x = -255 + 240. Which is greater: x or 1/9?
1/9
Let k = 126 - 115. Let u(h) = h - 31. Let y be u(k). Let j(a) = -a**3 - 19*a**2 + 21*a + 24. Let s be j(y). Is s greater than or equal to 7?
False
Let t = -0.73 - 0.15. Let k = -4.4478 - -0.1278. Let q = t + k. Does q = -0.1?
False
Let i = 1683.8 + -1685.7. Let s(n) = -n + 7. Let k be s(7). Suppose v = -2*m + 6*v - 23, 4*m - 2*v + 6 = k. Is m greater than or equal to i?
True
Suppose -6*x + 7*x - 108 = -2*j, -3*x - 5*j = -328. Which is smaller: x or 105?
105
Suppose -52*k + 1337 + 1419 = 0. Let p be ((-3)/30)/(8/(-4260)). Is k equal to p?
False
Let k = 208965 + -208966. Let c = -2282/11 - -206. Let i = 349/66 + c. Is i smaller than k?
False
Let m be (-9)/(-5 + 2) + -15. Let h be 28/6*14/(-49)*m. Suppose 0 = -3*y - 2*u - h + 57, 5*y = 4*u + 39. Which is greater: 10 or y?
y
Let i be (-138)/207 + (-26048)/(-3) + 2 + -2. Is 8683 less than or equal to i?
False
Let c = -233 + 242.02. Let x = c - 9. Let w = 849 + -848.7. Is x >= w?
False
Let o = 29.772 - -581.608. Let a = o + -610. Does a = -2?
False
Let c(p) = -p**2 - 6*p - 9. Let d be c(-10). Let q be 1092/(-20) + (-9 + -124)/(-19). Which is greater: d or q?
q
Let p(r) = -102*r + 837. Let q be p(8). Let i = 58 - 40. Is q <= i?
False
Let f = 701 - 24538/35. Let x(g) = g**3 - 21*g**2 - 49*g + 69. Let h be x(23). Is h >= f?
True
Let v = -0.85 + 0.8. Let d = -0.0028 - -9.0528. Let l = v + d. Is l less than 3?
False
Let b be (-28)/7 - 26/(-6). Let g be 10/(-15)*93/(-42). Let l = g - b. Which is smaller: 1 or l?
1
Let r be (-58)/(-145)*10/19. Let p = 67 - 65. Which is smaller: p or r?
r
Let u = 6332 + -6332. Which is smaller: u or 5/1247?
u
Suppose -1 = -5*n - u, u + 2 = -5*n + 3*u. Suppose 4*w - 14 = -3*h, 3*w - 5*h = -n*w - 4. Let m be ((-1 - w)/3)/(-1). Which is smaller: m or -3/16?
-3/16
Suppose -332 = -2*m + 2*d, -m - 13*d + 171 = -15*d. Is m at most 153?
False
Let h = 175 + -104. Let n be (-40)/30*(-5)/(15/198). Let j = 158 - n. Do j and h have the same value?
False
Let q = 238 + -208. Let d be (-19 + 9)/(-2*1). Let o be 17/q + d/(-30). Is 2/11 less than or equal to o?
True
Suppose -3*f - 26 = -5*f - 3*i, 4*i = -4*f + 44. Let s be (-62)/(-14) - 3/f. Suppose 32 = s*r - 6*r. Is -63/4 bigger than r?
True
Let h be ((6790/150)/7)/((-1)/36). Do h and -234 have the same value?
False
Let t = 48 - 45. Suppose -t*z + 18 = -3*m - 0*z, -3*z + 15 = 0. Is -4/31 greater than m?
True
Let b be (13016/(-6))/(330/99). Which is greater: b or -652?
b
Let n be (-4 + (-4 - (-10 + 3)))/(-1). Let v(q) = -q + 2. Let b(a) = 43*a + 7. Let f(m) = b(m) - 6*v(m). Let x be f(n). Is 46 bigger than x?
True
Suppose -4251 | {
"pile_set_name": "DM Mathematics"
} |
ect the terms in -1233*o - o**2 - 3*o**2 + 615*o + 620*o.
-4*o**2 + 2*o
Collect the terms in u**3 - 44934891*u**2 + 44934891*u**2.
u**3
Collect the terms in -51*y**3 - y**3 + 182*y - 182*y + 2*y**3.
-50*y**3
Collect the terms in 118*i**3 + 1445 - 1445.
118*i**3
Collect the terms in 1 + 5467167238*s - 1 - 5467167240*s.
-2*s
Collect the terms in -562*w**2 - 23*w**3 - 3*w**3 + 34*w**3 - 9*w**3 + 562*w**2.
-w**3
Collect the terms in -6*k**2 + 6423*k**3 + 6*k**2.
6423*k**3
Collect the terms in 0*w**3 + 4*w - 32*w + 4*w**3 + 0*w**3 - 2*w**3.
2*w**3 - 28*w
Collect the terms in -233*v + 154*v - 498*v.
-577*v
Collect the terms in -30*m + 15*m - 5*m**2 + 9*m + 13*m.
-5*m**2 + 7*m
Collect the terms in 142400*z**2 + 142255*z**2 - 284654*z**2.
z**2
Collect the terms in -52*t + 22*t**3 + 68*t - 16*t.
22*t**3
Collect the terms in -71863*h - 71859*h - 71861*h - 71862*h + 287443*h.
-2*h
Collect the terms in -159*a - 397*a + 141*a - 136*a.
-551*a
Collect the terms in 94*l**2 + 259*l**2 - 4*l**2.
349*l**2
Collect the terms in 8*t - 7 - 1 - 10 + 18.
8*t
Collect the terms in -23*k**2 + 6*k**2 - 111*k**2.
-128*k**2
Collect the terms in -188*s + 165*s - 51 + 42 - 145.
-23*s - 154
Collect the terms in -2*b + 0*b - 8 + 0*b + 9*b - 8*b.
-b - 8
Collect the terms in 116875*b**3 - 233738*b**3 + 116879*b**3.
16*b**3
Collect the terms in 362 + 381 - 1465 + 358 + 364 + 6*s**2.
6*s**2
Collect the terms in 12*r**3 + 4266955*r - 4266955*r.
12*r**3
Collect the terms in -2 + 13*k - 3*k + 150*k**3 - 525*k**3.
-375*k**3 + 10*k - 2
Collect the terms in 15*a - 7*a - 10*a - 5*a + 1 + 2*a.
-5*a + 1
Collect the terms in 176*j + 2 - 61*j - 93*j.
22*j + 2
Collect the terms in -2*v**3 - 677 - 76*v + 76*v + 1351 - 674.
-2*v**3
Collect the terms in 262*m**3 - 14*m**2 - 20*m**3 + 377*m**3 - 78*m**3.
541*m**3 - 14*m**2
Collect the terms in 1464*x - 6299*x + 2071*x - 11166*x.
-13930*x
Collect the terms in 14*c - 29*c - 1242*c**2 + 1248*c**2 + 15*c.
6*c**2
Collect the terms in 8*u**3 + 290*u**2 - 5*u**3 - 15*u**3 - 290*u**2.
-12*u**3
Collect the terms in -1397*o**3 - 74*o**2 - 2923*o**3 + 75*o**2.
-4320*o**3 + o**2
Collect the terms in -596*t**3 + 736*t**3 - 203*t**3.
-63*t**3
Collect the terms in -1654*g**2 + 543*g**2 + 551*g**2 + 4 - 4 + 561*g**2.
g**2
Collect the terms in -63 + 275*f**3 - 273*f**3 + 63.
2*f**3
Collect the terms in -j**2 + 1999 + 1275 - 3274.
-j**2
Collect the terms in 4 + 4*c**2 + 10 + 4*c**2 - c**2.
7*c**2 + 14
Collect the terms in 49985*q - 24897*q - 24878*q.
210*q
Collect the terms in 99*a - 47*a - 467*a**2 - 52*a.
-467*a**2
Collect the terms in t**2 - 5*t**2 - 11*t**3 + 33*t**3 - 6*t.
22*t**3 - 4*t**2 - 6*t
Collect the terms in -197*a**2 + 96*a**2 + 102*a**2.
a**2
Collect the terms in -270*s**2 + 268*s**2 + 9 - 46*s**3 - 9.
-46*s**3 - 2*s**2
Collect the terms in 4*i**2 - 144*i - 3*i**2 + 55*i - 773*i.
i**2 - 862*i
Collect the terms in 1110*r**3 + 1106*r**3 - 2210*r**3.
6*r**3
Collect the terms in 295*p**2 - 62*p**2 - 62*p**2 - 112*p**2 - 60*p**2.
-p**2
Collect the terms in 11*d + 10*d**2 + 51*d**3 - 11*d**2 + d**2.
51*d**3 + 11*d
Collect the terms in -95 + 4*j + j + j - j.
5*j - 95
Collect the terms in 1335*w - 306*w + 818*w - 1.
1847*w - 1
Collect the terms in -43*v**2 - 2780 + 5560 - 2780.
-43*v**2
Collect the terms in -50*u**2 + 9 + 12 + 46*u**2.
-4*u**2 + 21
Collect the terms in 2492*s**3 - 2*s**2 + 1698*s**3 + 2*s**2.
4190*s**3
Collect the terms in -4009*d**2 - 1 + 3968*d**2 - 5.
-41*d**2 - 6
Collect the terms in -1374*a**3 + 4104*a**3 - 1361*a**3 - 1367*a**3 - 4 + 4.
2*a**3
Collect the terms in 130*h**3 + 0*h + 0*h - 11 - 111*h**3.
19*h**3 - 11
Collect the terms in -2043*o**3 + 0*o - o + o + 4.
-2043*o**3 + 4
Collect the terms in 23*s**2 - 10*s**2 - 51*s**2 + 34*s**2.
-4*s**2
Collect the terms in 488*q**2 + 491*q**2 - 4 + 490*q**2 - 1460*q**2.
9*q**2 - 4
Collect the terms in 50*b**3 - 40*b**3 + 39*b - 3*b**3 - 9*b**3.
-2*b**3 + 39*b
Collect the terms in -383*x + 543*x - 156*x.
4*x
Collect the terms in -4*x**2 + 14*x**2 - 3*x + 5 + 8*x**2 + 2*x**2.
20*x**2 - 3*x + 5
Collect the terms in 26919 + 2*t**2 - 13435 - 13484.
2*t**2
Collect the terms in 79*a + 78*a + 77*a - 405*a + 78*a + 89*a.
-4*a
Collect the terms in 306*m + 468*m - 88*m.
686*m
Collect the terms in -3413 + 3413 + 3*h.
3*h
Collect the terms in -k**3 + 495455370*k - 2*k**2 - 495455370*k.
-k**3 - 2*k**2
Collect the terms in -31*r + 6*r**3 + 94*r - 63*r.
6*r**3
Collect the terms in -66*y - 1322*y**3 + 40*y + 26*y.
-1322*y**3
Collect the terms in -943*y**2 + 34308 - 34308.
-943*y**2
Collect the terms in -401*x**2 - 30*x**2 - 227*x**2 - 26*x**2.
-684*x**2
Collect the terms in 11*o**3 + 710546*o**2 - 710546*o**2.
11*o**3
Collect the terms in 0 - 241*q**2 - 34*q + 35*q + 0 - q**3.
-q**3 - 241*q**2 + q
Collect the terms in -6*m**2 + 0*m**3 + 2*m**3 - 76*m**2 - 86*m**2.
2*m**3 - 168*m**2
Collect the terms in 32894*f - 32894*f + 3*f**2.
3*f**2
Collect the terms in 124*s + 55*s + 179*s + 2 + 264*s.
622*s + 2
Collect the terms in -95*b + 228*b + 185*b.
318*b
Collect the terms in -400*p**2 + 623 - 623.
-400*p**2
Collect the terms in -4105*a**2 + 8706*a**2 - 4598*a**2.
3*a**2
Collect the terms in 5*g**2 - 1 + 1 - 4*g**2 + 10*g**2.
11*g**2
Collect the terms in 4415*d + 4418*d - 8835*d.
-2*d
Collect the terms in -q**2 + 24229*q - 24229*q.
-q**2
Collect the terms in -2*c + 474*c**3 - 2352*c**3 + 3*c - c.
-1878*c**3
Collect the terms in -191 - 3*t**3 - 5*t**2 + t**3 - 2*t**2 + t**2.
-2*t**3 - 6*t**2 - 191
Collect the terms in 0 + 0 - 89*l**2 - 7 + 5.
-89*l**2 - 2
Collect the terms in -18*x**3 + 231*x + 15*x**3 + 35*x.
-3*x**3 + 266*x
Collect the terms in -2*u**2 - 855010*u + 855010*u.
-2*u**2
Collect the terms in -103534*v - 7 + 103737*v + 7.
203*v
Collect the terms in 318*d - 1585*d + 317*d + 311*d + 313*d + 325*d.
-d
Collect the terms in 9*a + 23*a**3 - 5*a - 14*a - 2*a**2 - 28*a.
23*a**3 - 2*a**2 - 38*a
Collect the terms in 3*p**2 - 2*p**2 + 34*p + 33*p**3 - p**2 - 31*p.
33*p**3 + 3*p
Collect the terms in -143*c + 50*c + 21*c + 45*c + 8*c**3.
8*c**3 - 27*c
Collect the terms in -3*n - 139 + 4*n + 0*n + 1006.
n + 867
Collect the terms in 151*m**2 + 3*m - 3*m - 315*m**2 + 153*m**2.
-11*m**2
Collect the terms in -705*l**2 + 3*l**3 + 1423*l**2 - 718*l**2.
3*l**3
Collect the terms in 5*r**3 - 11*r**3 + 8*r**3 - r**3 + 2*r**3.
3*r**3
Collect the terms in 56 - 138 + 20 + 27 - 2*x**3 + 35.
-2*x**3
Collect the terms in -56*n**3 - 26*n**3 - 10*n**3.
-92*n**3
Collect the terms in -49467095*g**2 + 1 + 49467217*g**2 - 1.
122*g**2
Collect the terms in 23*a - 38 + 18 - 46*a + 20 + 19*a.
-4*a
Collect the terms in 0*y**2 + 4*y + 9*y**2 - 7*y**2 - 7*y**2 - y**2.
-6*y**2 + 4*y
Collect the terms in 21 - 12*v - 13*v - 14*v + 17 + 49*v.
10*v + 38
Collect the terms in -37*x**3 + 30*x**3 - 136*x**3 - 210*x**3.
-353*x**3
Collect the terms in -607 - 11 - 4*x + 202 - 302.
-4*x - 718
Collect the terms in -5411*q + 5411*q - 9*q**2 - 12*q**2 + 10*q**2 - 12*q**2.
-23*q**2
Collect the terms in -43*v**2 + 30*v**2 + 57*v**2 + 189*v**2.
233*v**2
Collect the terms in -11*t**3 + 25*t**3 - 8*t**3 - 11*t**3 - 7*t**3 + 11*t**3.
-t**3
Collect the terms in 885*w**3 - 24 + 852*w**3 - 1736*w**3.
w**3 - 24
Collect the terms in -48*p**3 + 8119*p**3 - 208*p**3.
7863*p**3
Collect the terms in -11 + 11 + 121883*r.
121883*r
Collect the terms in -z**2 + 28*z**3 - 35*z**3 - 405 + 405.
-7*z**3 - z**2
Collect the terms in 289*x**3 + 933*x**3 + 502*x**3.
1724*x**3
Collect the terms in 341*r**3 - 198*r**3 - 136*r**3.
7*r**3
Collect the terms in 29*f**3 - 19860 + 19860.
29*f**3
Collect the terms in -1367 + 2*t + 513 + 846.
2*t - 8
Collect the terms in 10*w + 11*w + 12*w - 2*w - 36*w.
-5*w
Collect the terms in 235554 + 5*w - 9*w - 235554.
-4*w
Collect the terms in 210*z**2 - 49*z - 54*z - 52*z + 155*z.
210*z**2
Collect the terms in -247*v - 295*v - 84*v - 174*v - 1 + 177*v.
-623*v - 1
Collect the terms in -30 - 38 + 4*q - 97.
4*q - 165
Collect the terms in 1490*k - 4467*k + 1485*k + 1486*k.
-6*k
Collect the terms in -36*l**3 + 59701*l - 59701*l.
-36*l**3
Collect the terms in 52*q + 44*q + 55*q - 94*q.
57*q
Collect the terms in -q**3 + 4*q**3 + 2*q**3 + 4*q**3.
9*q**3
Collect the terms in 6*h**3 + 268*h - 2*h**3 - 813*h + 269*h + 276*h.
4*h**3
Collect the terms in h**3 - 61* | {
"pile_set_name": "DM Mathematics"
} |
is divided by 43.
9
Calculate the remainder when 181 is divided by 82.
17
Calculate the remainder when 403 is divided by 4.
3
Calculate the remainder when 3717 is divided by 530.
7
Calculate the remainder when 60910 is divided by 144.
142
What is the remainder when 76 is divided by 73?
3
What is the remainder when 68 is divided by 35?
33
What is the remainder when 142 is divided by 68?
6
What is the remainder when 1848 is divided by 10?
8
What is the remainder when 3291 is divided by 1635?
21
Calculate the remainder when 278 is divided by 32.
22
Calculate the remainder when 358 is divided by 28.
22
Calculate the remainder when 95 is divided by 7.
4
Calculate the remainder when 616 is divided by 151.
12
What is the remainder when 1188 is divided by 384?
36
Calculate the remainder when 2512 is divided by 628.
0
Calculate the remainder when 35053 is divided by 95.
93
What is the remainder when 290 is divided by 27?
20
Calculate the remainder when 50 is divided by 28.
22
What is the remainder when 175 is divided by 30?
25
What is the remainder when 54 is divided by 23?
8
What is the remainder when 123 is divided by 30?
3
What is the remainder when 1551 is divided by 74?
71
What is the remainder when 480 is divided by 209?
62
What is the remainder when 303 is divided by 24?
15
What is the remainder when 247 is divided by 23?
17
What is the remainder when 87 is divided by 21?
3
What is the remainder when 471 is divided by 119?
114
Calculate the remainder when 452 is divided by 25.
2
Calculate the remainder when 26 is divided by 14.
12
What is the remainder when 41 is divided by 8?
1
What is the remainder when 535 is divided by 520?
15
Calculate the remainder when 23163 is divided by 27.
24
What is the remainder when 810 is divided by 73?
7
Calculate the remainder when 175 is divided by 44.
43
What is the remainder when 310 is divided by 21?
16
Calculate the remainder when 3400 is divided by 148.
144
What is the remainder when 952 is divided by 772?
180
What is the remainder when 497 is divided by 63?
56
What is the remainder when 138 is divided by 85?
53
Calculate the remainder when 719 is divided by 6.
5
What is the remainder when 1103 is divided by 17?
15
What is the remainder when 3437 is divided by 22?
5
Calculate the remainder when 138 is divided by 7.
5
What is the remainder when 2422 is divided by 270?
262
What is the remainder when 161 is divided by 41?
38
Calculate the remainder when 10259 is divided by 95.
94
What is the remainder when 2008 is divided by 282?
34
What is the remainder when 44 is divided by 9?
8
Calculate the remainder when 340 is divided by 15.
10
Calculate the remainder when 143 is divided by 37.
32
Calculate the remainder when 232 is divided by 48.
40
Calculate the remainder when 2121 is divided by 2111.
10
Calculate the remainder when 382 is divided by 96.
94
What is the remainder when 1427 is divided by 84?
83
What is the remainder when 263 is divided by 27?
20
Calculate the remainder when 135 is divided by 13.
5
What is the remainder when 92 is divided by 24?
20
What is the remainder when 1361 is divided by 257?
76
Calculate the remainder when 18 is divided by 11.
7
Calculate the remainder when 263 is divided by 38.
35
What is the remainder when 1312 is divided by 110?
102
Calculate the remainder when 615 is divided by 88.
87
What is the remainder when 386 is divided by 243?
143
Calculate the remainder when 573 is divided by 137.
25
What is the remainder when 8440 is divided by 67?
65
What is the remainder when 1133 is divided by 42?
41
Calculate the remainder when 557 is divided by 56.
53
Calculate the remainder when 151 is divided by 32.
23
Calculate the remainder when 105 is divided by 53.
52
Calculate the remainder when 103 is divided by 15.
13
Calculate the remainder when 30 is divided by 13.
4
Calculate the remainder when 747 is divided by 25.
22
Calculate the remainder when 51 is divided by 13.
12
Calculate the remainder when 44 is divided by 12.
8
What is the remainder when 96 is divided by 61?
35
What is the remainder when 347 is divided by 29?
28
What is the remainder when 7519 is divided by 40?
39
Calculate the remainder when 1320 is divided by 9.
6
What is the remainder when 169 is divided by 34?
33
What is the remainder when 409 is divided by 119?
52
Calculate the remainder when 62 is divided by 10.
2
What is the remainder when 8279 is divided by 13?
11
Calculate the remainder when 3547 is divided by 96.
91
Calculate the remainder when 2117 is divided by 81.
11
What is the remainder when 892 is divided by 56?
52
Calculate the remainder when 382 is divided by 67.
47
What is the remainder when 1996 is divided by 1954?
42
Calculate the remainder when 343 is divided by 69.
67
Calculate the remainder when 70 is divided by 4.
2
Calculate the remainder when 146 is divided by 25.
21
Calculate the remainder when 351 is divided by 17.
11
Calculate the remainder when 11360 is divided by 379.
369
What is the remainder when 1077 is divided by 83?
81
Calculate the remainder when 256 is divided by 102.
52
Calculate the remainder when 42 is divided by 6.
0
Calculate the remainder when 1183 is divided by 298.
289
Calculate the remainder when 404 is divided by 23.
13
Calculate the remainder when 1500 is divided by 47.
43
Calculate the remainder when 1647 is divided by 271.
21
What is the remainder when 537 is divided by 49?
47
What is the remainder when 195 is divided by 33?
30
Calculate the remainder when 342 is divided by 71.
58
Calculate the remainder when 905 is divided by 269.
98
What is the remainder when 871 is divided by 23?
20
Calculate the remainder when 952 is divided by 190.
2
Calculate the remainder when 2031 is divided by 500.
31
What is the remainder when 224 is divided by 75?
74
Calculate the remainder when 33199 is divided by 40.
39
Calculate the remainder when 889 is divided by 149.
144
What is the remainder when 63 is divided by 23?
17
What is the remainder when 623 is divided by 25?
23
Calculate the remainder when 215 is divided by 67.
14
What is the remainder when 190 is divided by 24?
22
What is the remainder when 2159 is divided by 1061?
37
What is the remainder when 29050 is divided by 108?
106
What is the remainder when 414 is divided by 14?
8
Calculate the remainder when 324 is divided by 65.
64
Calculate the remainder when 852 is divided by 57.
54
Calculate the remainder when 385 is divided by 9.
7
Calculate the remainder when 153 is divided by 147.
6
What is the remainder when 3717 is divided by 76?
69
What is the remainder when 97 is divided by 53?
44
Calculate the remainder when 3366 is divided by 260.
246
What is the remainder when 1786 is divided by 223?
2
Calculate the remainder when 83 is divided by 3.
2
Calculate the remainder when 226 is divided by 46.
42
What is the remainder when 111 is divided by 49?
13
Calculate the remainder when 1238 is divided by 74.
54
What is the remainder when 1142 is divided by 195?
167
What is the remainder when 5144 is divided by 26?
22
What is the remainder when 4717 is divided by 20?
17
Calculate the remainder when 81 is divided by 18.
9
Calculate the remainder when 537 is divided by 132.
9
What is the remainder when 2766 is divided by 16?
14
What is the remainder when 111 is divided by 53?
5
What is the remainder when 433 is divided by 148?
137
What is the remainder when 3290 is divided by 176?
122
Calculate the remainder when 352 is divided by 52.
40
What is the remainder when 818 is divided by 13?
12
Calculate the remainder when 127 is divided by 47.
33
What is the remainder when 655 is divided by 214?
13
Calculate the remainder when 9 is divided by 4.
1
What is the remainder when 92 is divided by 25?
17
Calculate the remainder when 636 is divided by 11.
9
What is the remainder when 1379 is divided by 92?
91
What is the remainder when 522 is divided by 65?
2
Calculate the remainder when 54 is divided by 30.
24
Calculate the remainder when 490 is divided by 17.
14
Calculate the remainder when 37 is divided by 34.
3
What is the remainder when 4541 is divided by 16?
13
Calculate the remainder when 119 is divided by 40.
39
Calculate the remainder when 514 is divided by 257.
0
Calculate the remainder when 270 is divided by 17.
15
What is the remainder w | {
"pile_set_name": "DM Mathematics"
} |
**(6/7)*q*(q/(q**(1/2)*q))/q) assuming q is positive.
q**(177/14)
Simplify ((r/r**4)/(r*r/r**(-16)*r))/(r**(5/2)*r*r**(-3/8)) assuming r is positive.
r**(-201/8)
Simplify (s**(3/8)/((s**(-25)*s)/s))/(s**(-7/9)*((s*s**(2/87))/s)/s) assuming s is positive.
s**(56647/2088)
Simplify (((s*s**25)/s)/s*s**(-11)/s)/((s*s**(-1/4)*s)/(s/((s**12/s*s)/s))) assuming s is positive.
s**(1/4)
Simplify (g**(-7))**42*(g/g**(23/5))/(g*g*g**(-3/13)*g) assuming g is positive.
g**(-19524/65)
Simplify ((d*d/d**(-15))/(d*d*d**17))**(-14) assuming d is positive.
d**28
Simplify ((b*b**(-1))**(-18/13)*b/(b**(2/7)/b*b*b*b*b)*(b**(-2)*b)/b)**36 assuming b is positive.
b**(-1080/7)
Simplify (m**3/m)**(-20)*(m*m**(-3))**(20/9) assuming m is positive.
m**(-400/9)
Simplify ((h**(-2/5)/h*h)**11*h/((h/(h**(1/4)/h*h*h)*h*h*h*h)/h)*h**(4/9)*h)**(-15) assuming h is positive.
h**(847/12)
Simplify (v**0/v)**(-34)*(v/(v/v**(-4/9)))/v**(-9) assuming v is positive.
v**(383/9)
Simplify (((p/((p/(p/(p**(-1/5)*p)))/p))**(-4/23))**(-23))**38 assuming p is positive.
p**(912/5)
Simplify (g*g**(-12))/(g*g/g**(-10/11))*g**(-3/8)/(g/(g/(g**(-5/6)*g)*g)) assuming g is positive.
g**(-3551/264)
Simplify (l**(-1/5)/(l**(-2/9)*l)*(l**(-3/7)*l*l)/l**5)**(-1) assuming l is positive.
l**(1388/315)
Simplify (a*a**(-8))/(((a/(a*a**(-1/13)/a))/a)/a)*((a**(-2/3)/a)/a)/(((a**(4/9)/a)/a)/a*a*a) assuming a is positive.
a**(-958/117)
Simplify (k**(-1/8)/k)/k**(-1/10)*k**(-23)/((k*(k*k*k/(k**(3/8)/k)*k*k)/k*k)/k) assuming k is positive.
k**(-593/20)
Simplify (t**(-4)/(((t/(t*t*t/(t**(-19)/t))*t*t)/t)/t))/(t**(-25)/((t/t**(10/3))/t*t)) assuming t is positive.
t**(122/3)
Simplify (a**(3/2)/(((a**12*a*a)/a)/a))/(((a/(a**(-19)*a)*a)/a)/(a*a**(-1/2))) assuming a is positive.
a**(-29)
Simplify (v**(-2/15)/(v/(v/(v*v**11))))/((v/(v*(v/(v/v**14)*v)/v*v))/(v**(2/9)*v)) assuming v is positive.
v**(184/45)
Simplify (y**0*y)/(y*(y/y**(2/9))/y)*y**(-10)*y**4/y assuming y is positive.
y**(-61/9)
Simplify (k*k**2/k*k)**(-3/19)/(k*k**(-1))**47 assuming k is positive.
k**(-9/19)
Simplify ((y*y**(2/5))**(6/29)*y**(2/7)/y**(-5))**(-3/7) assuming y is positive.
y**(-16977/7105)
Simplify (k**(-5)*k**(4/5))/(k**5/k)**(-15) assuming k is positive.
k**(279/5)
Simplify ((o/((o*o**(-13)*o)/o))/o**(1/13))/(o*o*o**(-2)*o*o*o)**(-2/25) assuming o is positive.
o**(4278/325)
Simplify (m*m**(1/7)*m)**(1/22)/(m/(m*(m*m**(-1))/m*m)*m**(4/9)*m) assuming m is positive.
m**(-1867/1386)
Simplify (t*(t/(t**(-3)/t))/t*t)/(t/(((t**8*t)/t*t)/t))*((t*t/(t*t/t**(-27)))/t)/t**(-8) assuming t is positive.
t**(-7)
Simplify (s/s**(1/2))**(-28)/(s*s*s**(-22/7)/s*s**29) assuming s is positive.
s**(-286/7)
Simplify ((b**16/b)/(b**7*b*b))/(((b/b**7)/b)/b**21) assuming b is positive.
b**34
Simplify (s**(-5)/s**(2/3)*(s*s*s/(s/(s/(s*s/(s*s**(-2/3))*s))))**(23/4))**(1/5) assuming s is positive.
s**(-3/4)
Simplify ((a/((a*(a/(a/a**(-6)))/a)/a)*a**4)**(21/4))**6 assuming a is positive.
a**378
Simplify (g**(-1/3))**35/(g**(-9)*g/(g*g/(g*g**2)*g)) assuming g is positive.
g**(-11/3)
Simplify (i*i/(i/(i/(i*i/(i*i**12*i)))*i)*i)/i**(-15)*(i/((i*i*i*i**(5/3))/i))/((i*i*i*i**(2/13)*i*i)/i) assuming i is positive.
i**(865/39)
Simplify (l**2/l)/(l/((l*l**2)/l))*((l*l**1)/l)**29 assuming l is positive.
l**31
Simplify (((a/((a**1*a*a)/a))/a**(2/3))**(-20))**(-32) assuming a is positive.
a**(-3200/3)
Simplify a**20*a**(1/20)*(a/(a/(a*a/a**(-8)*a*a)))**(-15/2) assuming a is positive.
a**(-1399/20)
Simplify (g/g**23)/g*g**(-2/27)*(g*g**(-5))**(-3/10) assuming g is positive.
g**(-2953/135)
Simplify j/(j**(2/29)*j)*j**15*(j*j**(5/2)*j)/(j/(j*j**(-6)*j)) assuming j is positive.
j**(837/58)
Simplify ((b*(b*b*b/(b/(((b/(b**22/b))/b)/b))*b)/b)/(b*b*(b*b/(b/(b**(3/16)*b))*b*b)/b*b))**9 assuming b is positive.
b**(-3627/16)
Simplify p/p**(9/5)*p/p**(2/3)*(p**0)**(1/45) assuming p is positive.
p**(-7/15)
Simplify (x**7*x*x*x*(x/x**(-4/7))/x*x)/(x/x**(-2/25))**(-47) assuming x is positive.
x**(10908/175)
Simplify ((z**(2/7))**(1/25)*z**0*z*z**(-4)/z)**44 assuming z is positive.
z**(-30712/175)
Simplify (g**(-5))**(-8)*(g*g*g**20)/g**(-23) assuming g is positive.
g**85
Simplify (j/j**8)**26*j**(-2)*j**(-13) assuming j is positive.
j**(-197)
Simplify u**(1/15)/(u*(u*u**5*u*u*u*u*u*u)/u)*(u**(-2/7))**9 assuming u is positive.
u**(-1523/105)
Simplify (((b/(b*b**1))**16)**48)**(1/16) assuming b is positive.
b**(-48)
Simplify (b**(1/14)/b)/(b*b/(b/b**(-3)))*(b*b/((b**(-2)/b)/b*b))**4 assuming b is positive.
b**(295/14)
Simplify ((v**(-4/17))**(-1/64))**(-4) assuming v is positive.
v**(-1/68)
Simplify ((j/(j*j**(-1/11)*j)*j)/j*j**5/j*(j**(-1))**47)**(-3/2) assuming j is positive.
j**(1449/22)
Simplify (s**(1/2))**(2/29)*s**(-2/11)*((s**17*s)/s)/s assuming s is positive.
s**(5057/319)
Simplify b/(b/(b*b/(b**12/b)))*b**(-10)*b*b**12*b**(-13)*b assuming b is positive.
b**(-18)
Simplify ((y*y*y**(-2/7)*y)**(-19)*y**(-1)/(y/y**3))**(-6) assuming y is positive.
y**(2124/7)
Simplify ((r**(1/8)/(r*r*r**1*r*r))**44)**(-5/12) assuming r is positive.
r**(715/8)
Simplify (t**(-2/5)/t)/(t/(t/((t/(t**14*t*t))/t)*t)*t*t*t)*t**(10/3)*t*t**(-1)/t assuming t is positive.
t**(224/15)
Simplify ((l/l**(-1))/l*l**(-7/5))/(l**(-2/17)/l*(l**17/l*l)/l) assuming l is positive.
l**(-1299/85)
Simplify (v**17/v**3)/(v*(v/((v*v**(1/7)/v)/v))/v*v)**(-15) assuming v is positive.
v**(398/7)
Simplify (((l*l*l**(-1/8)/l*l*l)/l*l*((l**(-13)*l)/l)/l*l)/(l**(2/5)*l*l*l**5*l))**(-2/25) assuming l is positive.
l**(741/500)
Simplify (h/h**3*h)**(-35)*(h*h/(h/(h/h**(-2/13))))**(2/17) assuming h is positive.
h**(7791/221)
Simplify (w*w**1*w)**(-29)/((w*(w/w**(3/11))/w)/(w/(w*w*w**20/w*w*w))) assuming w is positive.
w**(-1207/11)
Simplify (y**(-1/4)*y**22)**(-17) assuming y is positive.
y**(-1479/4)
Simplify ((v**(-5/4)*v**(-4/3))**38)**41 assuming v is positive.
v**(-24149/6)
Simplify (k**(-2))**27/(k*k**(-11)*k**(-6)*k) assuming k is positive.
k**(-39)
Simplify (n/((n/(n/((n/n**5*n)/n*n)))/n))**(-16)*n**(4/5)/((n*n**(-15))/n) assuming n is positive.
n**(-321/5)
Simplify ((p**(3/7)/p**4)/(p**(-2))**(-1/49))**(-2/7) assuming p is positive.
p**(354/343)
Simplify ((((w/((w/(w**(2/3)*w)*w*w)/w))/w)/((w*w/(w*w*w**(3/4))*w)/w))/(w**(2/5))**(-1/7))**(-2/45) assuming w is positive.
w**(-199/9450)
Simplify h**(-4/9)*h**(4/3)*(h*((((h/((h/h**(-4/3))/h))/h)/h)/h)/h)**(2/167) assuming h is positive.
h**(1276/1503)
Simplify ((y**(-10)*y*y**(-12))**29)**(1/11) assuming y is positive.
y**(-609/11)
Simplify h*h/(h*h/(h**(-7)/h)*h)*h*h/(h/h**(-5/6))*h*(h**(-4))**43 assuming h is positive.
h**(-1079/6)
Simplify ((z/(z/(z*z**8))*z*z/(z/((z/z**8)/z)*z*z))/((z**(-1/12)/z)/((z**(-4)/z)/z)))**50 assuming z is positive.
z**(-1475/6)
Simplify (y**5*y*y**(-5)*y*(y**(-1/3))**(3/7))**35 assuming y is positive.
y**65
Simplify (((n/(n*n*n**(-1)*n*n*n*n)*n)**(-49))**(-2/7))**(8/11) assuming n is positive.
n**(-336/11)
Simplify ((z/(z*z**(-2/49))*z)/(z*((z*z**(-6))/z*z)/z))/(z**(-2/3))**(3/8) assuming z is positive.
z**(1233/196)
Simplify (((v**(-4)/v)/((v*(v/(v*v**(-3/5)))/v*v*v*v)/v))/(v*v**8*v**(-1)/v*v))**(-1/38) assuming v is positive.
v**(39/95)
Simplify ((v/((v**(-9)*v)/v))/(v**(2/25)/v*v))/(v**(-2))**(-11/9) assuming v is positive.
v**(1682/225)
Simplify (t/((t*(t/(t**(-22)*t))/t)/t)*t*t*t*t*t**(7/5))/(t**(2/3)/t)**44 assuming t is positive.
t**(1/15)
Simplify (w**(-21)/w**(1/12))/(w**19/((((w/(w/w**(2/29)))/w)/w)/w)) assuming w is positive.
w**(-14969/348)
Simplify d**(-13)/(d*d*d**12/d)*((d**(-2/37)/d)/d)/(d*d**(-15)*d) assuming d is positive.
d**(-557/37)
Simplify ((v*v**4*v)/(v/(v/(v/(v**4*v)))*v*v))/(v*v*v/(v/(v/(v*v**(-11))*v))*v**(2/19)) assuming v is positive.
v**(-116/19)
Simplify (v**(-3/2)*v**(1/5))/(v**2/v*v**(-3/7)/v*v) assuming v is positive.
v**(-131/70)
Simplify (s**(-2/53)*s*s)/(s/(s/(s**(-23)*s)*s))*(s**(-3/5))**(-1/28) assuming s is positive.
s**(185379/7420)
Simplify ((o**(-1))**(-47)*(o**(-1))**(-13/6))**(-2/139) assuming o is positive.
o**(-295/417)
Simplify q**(-6)/(q/(q*q*q**(3/7)))*q**(-2/5)/q*q*q*q**(1/10)*q*q*q*q assuming q is positive.
q**(9/70)
Simplify ((y/(y*(y**13/y)/y))/y**(-11))/((y**(-13)*y)/(y*(y*y*y**(9/5)/y*y)/y*y*y)) assuming y is positive.
y**(89/5)
Simplify (m*m**(-12)*(m/(((m/(m/(m*m*m**(-44)))*m)/m)/m))/m)**(-9) ass | {
"pile_set_name": "DM Mathematics"
} |
3?
43, 1307701
What are the prime factors of 51934899?
3, 17311633
List the prime factors of 2377126605.
3, 5, 7, 37, 611873
List the prime factors of 117417243.
3, 31, 37, 34123
List the prime factors of 950168178.
2, 3, 863, 20389
List the prime factors of 141699150.
2, 3, 5, 19, 16573
What are the prime factors of 24989164?
2, 2029, 3079
List the prime factors of 1192770222.
2, 3, 7, 2897, 9803
What are the prime factors of 4196528917?
7, 19, 23, 1371863
List the prime factors of 913057977.
3, 13, 19, 53, 67, 347
List the prime factors of 47658411.
3, 5295379
List the prime factors of 321033908.
2, 13, 23, 181, 1483
What are the prime factors of 117569921?
7, 157, 106979
List the prime factors of 287269385.
5, 13, 4419529
List the prime factors of 149944913.
17, 41, 43, 5003
List the prime factors of 117598556.
2, 769, 38231
List the prime factors of 53456710.
2, 5, 31, 172441
What are the prime factors of 3061600227?
3, 7, 17, 223, 4273
What are the prime factors of 333864567?
3, 1033, 35911
List the prime factors of 174552308.
2, 7, 43, 139, 149
What are the prime factors of 814047805?
5, 17, 9577033
What are the prime factors of 1359784570?
2, 5, 1753, 77569
List the prime factors of 11312695.
5, 19, 193, 617
List the prime factors of 1259715074.
2, 823, 765319
List the prime factors of 1194352500.
2, 3, 5, 11, 31, 467
What are the prime factors of 1912189336?
2, 19, 12580193
What are the prime factors of 12649703?
11, 104543
List the prime factors of 368969387.
368969387
List the prime factors of 61617832.
2, 31, 367, 677
What are the prime factors of 7263885?
3, 5, 484259
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3, 101, 2371
What are the prime factors of 2618405999?
11, 21639719
List the prime factors of 1335482841.
3, 7, 11, 5781311
List the prime factors of 1767769238.
2, 4799, 184181
List the prime factors of 953743138.
2, 11633, 40993
What are the prime factors of 2006234735?
5, 401246947
List the prime factors of 3768248.
2, 11, 42821
What are the prime factors of 612842704?
2, 38302669
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2, 977, 327599
List the prime factors of 39349140.
2, 3, 5, 137, 4787
What are the prime factors of 1124979816?
2, 3, 19, 2467061
List the prime factors of 89170181.
59, 151, 10009
List the prime factors of 350920625.
5, 11, 51043
What are the prime factors of 468261072?
2, 3, 103, 131, 241
List the prime factors of 166488740.
2, 5, 11, 89, 773
List the prime factors of 1020676732.
2, 19, 1123, 11959
List the prime factors of 660089521.
7, 13, 373, 19447
List the prime factors of 3547347495.
3, 5, 67, 373, 9463
What are the prime factors of 72768390?
2, 3, 5, 2425613
List the prime factors of 109532568.
2, 3, 19, 240203
What are the prime factors of 42191772?
2, 3, 7, 43, 11681
What are the prime factors of 631843798?
2, 31, 10191029
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2, 5, 22695287
What are the prime factors of 43303113?
3, 7, 71, 461
What are the prime factors of 182333334?
2, 3, 5297, 5737
List the prime factors of 157200762.
2, 3, 107, 244861
What are the prime factors of 5582518517?
61, 4993, 18329
List the prime factors of 4820911826.
2, 23, 104802431
What are the prime factors of 2692152455?
5, 41, 601, 21851
List the prime factors of 1879257417.
3, 31, 37, 546137
What are the prime factors of 47020968?
2, 3, 659, 991
List the prime factors of 347010211.
59, 163, 36083
List the prime factors of 33606529.
11, 1171, 2609
What are the prime factors of 94002931?
11, 8545721
List the prime factors of 1227852228.
2, 3, 29, 3528311
What are the prime factors of 688656284?
2, 37, 67, 1877
What are the prime factors of 1003513332?
2, 3, 17, 29, 169627
List the prime factors of 34018516.
2, 7, 1214947
List the prime factors of 12991107.
3, 37, 117037
List the prime factors of 431200288.
2, 19, 709211
What are the prime factors of 2605900431?
3, 709, 1225153
What are the prime factors of 5892587878?
2, 2946293939
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62556007
List the prime factors of 901754718.
2, 3, 150292453
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2, 5, 7, 16729
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2, 7, 23, 643, 5297
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3, 317, 19543
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2, 3, 17, 31183
List the prime factors of 154216222.
2, 37, 2084003
What are the prime factors of 552174536?
2, 69021817
What are the prime factors of 1920354431?
113, 16994287
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2, 3, 17, 67, 36241
List the prime factors of 3122951524.
2, 7, 11, 10139453
List the prime factors of 1277841714.
2, 3, 212973619
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5, 241267597
List the prime factors of 53519626.
2, 173, 154681
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2, 967, 318209
List the prime factors of 1745892450.
2, 3, 5, 43, 90227
What are the prime factors of 590087490?
2, 3, 5, 1381, 14243
List the prime factors of 26776953.
3, 7, 141677
List the prime factors of 291961380.
2, 3, 5, 4866023
What are the prime factors of 1603704706?
2, 89, 1543, 5839
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2, 5, 11, 53, 587
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2, 7, 167, 1049
List the prime factors of 3663743280.
2, 3, 5, 15265597
What are the prime factors of 224613398?
2, 181, 233, 2663
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2, 5, 17, 30223
What are the prime factors of 3717103879?
37, 8167, 12301
List the prime factors of 4392881061.
3, 6737, 217351
List the prime factors of 5417772204.
2, 3, 13, 34729309
List the prime factors of 393593160.
2, 3, 5, 643, 5101
List the prime factors of 815786911.
131, 617, 10093
What are the prime factors of 18286229?
13, 1406633
What are the prime factors of 211170482?
2, 105585241
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67, 483907
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2, 587, 10973
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3, 5, 7, 92479
List the prime factors of 4964823.
3, 43, 12829
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2, 11, 269, 487
List the prime factors of 602156665.
5, 11, 1367, 8009
List the prime factors of 141885877.
7, 97, 208963
What are the prime factors of 736319437?
7, 47, 2238053
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2, 3, 61, 439
List the prime factors of 15654508.
2, 3913627
List the prime factors of 41308334.
2, 17, 191, 6361
List the prime factors of 218832834.
2, 3, 11, 3315649
What are the prime factors of 4858794648?
2, 3, 151, 446909
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2, 3, 521, 57301
List the prime factors of 157044433.
7, 13, 132751
List the prime factors of 81595406.
2, 1019, 40037
List the prime factors of 106988546.
2, 7, 7642039
List the prime factors of 5899913996.
2, 53, 1031, 26993
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3, 13, 227, 383107
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4457, 8863
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2, 3, 11, 19, 925163
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2, 7, 1679471
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163, 31033
List the prime factors of 14160540.
2, 3, 5, 53, 61, 73
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2, 29, 1009, 53617
List the prime factors of 1476022678.
2, 13, 4366931
What are the prime factors of 402365857?
402365857
List the prime factors of 9729286.
2, 7, 487, 1427
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2, 3, 13, 1237, 24239
What are the prime factors of 1441403979?
3, 83, 5788771
List the prime factors of 7582424.
2, 947803
List the prime factors of 483063684.
2, 3, 40255307
List the prime factors of 3227154858.
2, 3, 29, 61, 11261
List the prime factors of 523036005.
3, 5, 34869067
What are the prime factors of 359017360?
2, 5, 13, 59, 5851
What are the prime factors of 2056904613?
3, 17, 43, 53, 347
List the prime factors of 6531907990.
2, 5, 653190799
List the prime factors of 43480348.
2, 211, 51517
What are the prime factors of 91652216?
2, 997, 11491
List the prime factors of 44672532.
2, 3, 17, 23, 9521
What are the prime factors of 917275570?
2, 5, 43, 449, 4751
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2, 53, 6177979
List the prime factors of 967835001.
3, 7, 46087381
List the prime factors of 55491155.
5, 11098231
List the prime factors of 27992387.
17, 37, 191, 233
What are the prime factors of 112076801?
17, 19 | {
"pile_set_name": "DM Mathematics"
} |
3 - 11*c**2. Let h(b) = 7*b**2 + b - 1. Calculate the remainder when h(-2) is divided by i(5).
4
Suppose 215*t + g = 219*t - 851, -2*g = 4*t - 842. Calculate the remainder when t is divided by 67.
11
Let r = 9750 + -9682. Suppose 2*a - 26 = 18. What is the remainder when r is divided by a?
2
Suppose 0 = -31*p + 350 + 704. What is the remainder when p is divided by 9?
7
Let b(i) = -i + 79. Calculate the remainder when b(-28) is divided by 37.
33
Let u be (-6)/((-6)/(-4)*(-16)/(-12)). Let f(n) = -6*n - 8. Let h = 24 + 5. What is the remainder when h is divided by f(u)?
9
Suppose 18*m = 5*m + 3835. Calculate the remainder when m is divided by 37.
36
Suppose 14 = 2*l - r, 7 = l - 5*r + 18. What is the remainder when l is divided by 9?
0
Suppose 2*n + 3*w + 1 = 0, n - w - 5 = 7. Suppose j - 2*v = 49, j + v - n = 33. Calculate the remainder when j is divided by 23.
20
Let k = -347 + 959. Calculate the remainder when k is divided by 14.
10
Let z(a) = -6*a**2 - 127*a - 1. Calculate the remainder when 157 is divided by z(-21).
17
Suppose -3*k = -5*k - 2. Calculate the remainder when k/(0 + (-2)/54) is divided by 7.
6
Suppose 22 = 4*i - 5*j, -i + 5 = -0*i - j. What is the remainder when (35 - -2 - -1) + -1 is divided by ((-3)/12)/((-4)/(i + 205))?
11
Suppose -11*n + 18*n - 126 = 0. Calculate the remainder when ((-3)/(-2))/((-17)/(-578)) is divided by n.
15
Suppose 2*f + 4 = 18. Suppose -q - f*i + 2*i + 27 = 0, -4*i = 2*q - 60. Calculate the remainder when 93 is divided by q.
29
Let u be 2 - 6 - (-286)/2. Let c = -91 + u. Calculate the remainder when c is divided by 13.
9
Suppose 188 = -13*y + 17*y. What is the remainder when 123 is divided by y?
29
Let m = 151 + -27. Calculate the remainder when m is divided by 35.
19
Let h be (-16)/(-2) - (3 + 0). Suppose h*g - 200 = -15. What is the remainder when 146 is divided by g?
35
Let s = -29 + 13. Let o be 6/(-12)*(2 + s). Let k(r) = r**2 - r. What is the remainder when k(o) is divided by 15?
12
Let b = -10 - -12. Let f be b + ((-16)/4 - -30). Let c = f - -25. Calculate the remainder when c is divided by 14.
11
Suppose -c + 3 = 1. Let r(b) = -b**3 - b**2 + 3*b + 9. What is the remainder when r(-3) is divided by 2/c + -3 + 12?
8
Let x be -2 - 1/((-2)/66). Let c = 35 - x. What is the remainder when 5 is divided by c?
1
Let l(h) = 6*h**2 - h + 1. What is the remainder when l(2) is divided by ((-16)/(-48))/(1/24)?
7
Let f be 2/4*6 - -28. Let o = f + -27. Let l = 3 + -1. Calculate the remainder when o is divided by l.
0
Let s be 44/6 - 88/66. Suppose 0 = s*d + d - 28. Calculate the remainder when d is divided by 2.
0
Suppose -8*f + c + 41 = -5*f, c + 71 = 5*f. What is the remainder when 102 is divided by f?
12
Let k(g) = 3*g**3 - g**2 + 2*g - 2. Let v be k(1). Suppose 5*c = -3*l + 84, -4*c + 4*l + 2 = -78. What is the remainder when c is divided by 10 - (24/4)/v?
4
Let c = -60 - -134. Let v = -1 + c. What is the remainder when v is divided by 15?
13
Suppose 10 - 22 = -3*a. Suppose -a*g + 4*c = -6*g + 2, -4*c = 0. Let o = 6 - 2. Calculate the remainder when o is divided by g.
0
Let w(l) = 6*l**3 - 35*l**2 - 2*l - 6. What is the remainder when w(6) is divided by 5?
3
Let m = -20 + 38. Suppose 2*b - 2 = -18. Let t = m - b. Calculate the remainder when 77 is divided by t.
25
Let r = -2 + 5. Let m(p) = -2*p**2 - 2*p**3 + 2 - p - r + 2*p. What is the remainder when 12 is divided by m(-2)?
2
Suppose y + 38 - 43 = 5*l, -l = -1. Calculate the remainder when 48 is divided by y.
8
Suppose 4*u + 4*h + 0*h = 12, 0 = 5*h + 10. Let l = u - -9. What is the remainder when 40 is divided by l?
12
Let d = 9781 + -5573. Suppose d = 15*g + g. What is the remainder when g is divided by 44?
43
Let g = -1053 - -1074. Let w = -2 - -6. Suppose -195 = -w*z - z. Calculate the remainder when z is divided by g.
18
Let t(z) = -5*z + 1. Let k(l) = -44*l + 8. Let i(u) = -3*k(u) + 28*t(u). Calculate the remainder when i(-3) is divided by 8.
4
Let o(b) be the third derivative of -b**6/120 + b**5/15 + b**4/3 + b**3/2 + 5*b**2. Calculate the remainder when 62 is divided by o(5).
8
Suppose 2*f - 4*f = -298. Let c(v) = -6*v - 17. Let s be c(-20). Let n = f - s. What is the remainder when n is divided by 12?
10
Let a(z) = 6*z**2 - 3*z + 2. Let u be a(1). Suppose 77 = 4*i + 4*p + p, 3*i + u*p - 54 = 0. Calculate the remainder when i is divided by 8.
7
Suppose 0 = 5*y + 2*r + 3*r - 35, -3*r = -3*y + 21. Suppose 2*h - 2*b = 27 - y, -h + 5*b = -30. What is the remainder when 21 is divided by h?
1
Suppose 3*m = 6, -2*l + l + 7 = 2*m. Let w = 2 + -1. What is the remainder when 4 is divided by 4 - (l + (-2)/w)?
1
Let o = 3 - -15. Calculate the remainder when 43 is divided by (20/(-8))/((-3)/o).
13
Suppose -3*w - 3*p + 81 = -0*p, 2*w + 4*p - 52 = 0. Calculate the remainder when 73 is divided by (-1)/((-28)/428) + (-8)/w.
13
Let k(t) = -t + 9. Let m(w) = w**3 - 6*w**2 + 4*w + 7. Let l be m(5). Let c be (-45)/(-6) + (-3)/l. What is the remainder when 10 is divided by k(c)?
1
Suppose 0 = 5*r + 5*z - 60, 0 = 3*r - 5*z - 6 - 14. What is the remainder when 33 is divided by r?
3
Let h be 0 - (6 + -3 + 4). Let u = 16 + h. Calculate the remainder when 24 is divided by u.
6
Let h = -412 - -477. What is the remainder when 129 is divided by h?
64
Let v(w) be the second derivative of -5*w**4/12 - 25*w**3/3 + 8*w**2 + 10*w. Calculate the remainder when v(-10) is divided by 5.
1
Suppose 0 = -10*b + 155 + 1405. What is the remainder when b is divided by 2/(-4) + (-33)/(-2)?
12
Let l(u) = -23*u**3 + u**2 + u + 1. Let z be (-4)/(-8)*-2*1. Let i be l(z). Suppose s = 4*x + i, 3*x + 15 = -2*x. What is the remainder when 46 is divided by s?
10
Let c = 2868 + -2495. Calculate the remainder when c is divided by 125.
123
Suppose -o = -2*j - 12, -6*o - 5*j = -2*o + 4. Suppose 3*l = o*c + 50, -2*l + 5*c + 0*c = -38. What is the remainder when 32 is divided by l?
4
Let f(h) = 55*h - 378. What is the remainder when f(9) is divided by 7?
5
Let i(m) be the second derivative of m**4/4 - m**3/2 + 7*m**2/2 - 19*m. Calculate the remainder when i(3) is divided by 15.
10
Suppose 0 = -2*z - g + 7, z + z - 4*g - 2 = 0. Suppose 11 = 2*o + 5*r, -3*r = -z*o + 5*o - 13. Calculate the remainder when 69 is divided by o.
5
Let u(o) = 6*o + 83. Calculate the remainder when 66 is divided by u(-11).
15
Let d = 948 + -885. Calculate the remainder when d is divided by 11.
8
Let k = -10 - 5. Let x = k + 14. Calculate the remainder when 40 - x - (0 + 0) is divided by 22.
19
Let y = -8 - -8. Suppose y*q - q - 149 = -2*b, -295 = -4*b + q. Suppose -4*h + 15 + b = 0. Calculate the remainder when h is divided by 12.
10
Suppose r - 6*r = 0. Suppose w - 2 - 3 = r. Suppose -39 = -3*l + 3*q, w = 3*l - l + 5*q. What is the remainder when l is divided by 6?
4
Suppose 0*x + x + 83 = 3*r, 0 = 3*r + 4*x - 88. Suppose -14*t = -10*t - r. Calculate the remainder when t is divided by 6.
1
What is the remainder when (78/12 - 6)*70 is divided by 19?
16
Suppose f = -5*u + 243, u - 38 = -5*f + 1. Calculate the remainder when u is divided by 11.
5
Let b(k) = -14*k - 415. What is the remainder when 113 is divided by b(-31)?
18
Let o = -16 - -21. Suppose -z + 3*z + v = -12, -20 = o*v. Calculate the remainder when z/(-22) + 6526/286 is divided by 13.
10
Let i(x) be the third derivative of x**4/8 - x**3/6 + 15*x**2. Suppose -5*j + 13 = -17. Calculate the remainder when i(8) is divided by j.
5
Suppose 0 = 19*z - 16*z + b - 31, 5*b - 29 = -z. What is the remainder when 48 is divided by z?
3
Calculate the remainder when 315 is divided by (-27)/(-36) + ((-543)/4)/(-3).
39
Suppose 532 = 11*m + 8*m. Calculate the remainder when 74 is divided by m.
18
Let v be (-3 - -1) + 12/4 + -3. What is the remainder when 41 is divided by 7 + -6 - 40/v?
20
Suppose -6*w + 0*w + 18 = 0. Calculate the remainder when (-3)/((-9)/w) + 46 is divided by 12.
11
Let q(c) = -10*c + 199. Calculate the remainder when q(15) is divided by 14.
7
Suppose -q - 1 = -x + 4, 3*q - 20 = -4*x. Let g(l) = l**2 + 8*l + 4. Suppose -12*b = -11*b + 8. What is the remainder when x is divided by g(b)?
1
Let n(z) = z**3 + 11*z**2 - 12*z + 3. Let o be n(-12). Suppose 2*w - 21 = -o*l + 3, 4*w = 3*l + 66. What is the remainder when 58 is divided by w?
13
What is the remainder when 382 is d | {
"pile_set_name": "DM Mathematics"
} |
t is l(-25)?
2
Let c(x) = x**3 - 15*x**2 + 24*x - 38. Determine c(13).
-64
Let a(t) = 84*t + 1117. Calculate a(-15).
-143
Let q(z) = -12*z - 970. Give q(-83).
26
Let l(w) = 282*w**2 + 5. Give l(0).
5
Let b(v) = v**2 + 127*v + 2587. What is b(-105)?
277
Let s(v) = 4*v**3 + 49*v**2 - 54*v - 203. Determine s(-13).
-8
Let u(p) = 2*p - 189. Give u(87).
-15
Let q(o) = -2*o**3 + 10*o**2 + 3*o - 7. Determine q(6).
-61
Let p(w) = 7*w**3 - 2*w**2 + 22*w - 20. Calculate p(1).
7
Let z(d) = 2*d**3 + 102*d**2 - d - 77. Give z(-51).
-26
Let r(t) = -t**2 + 81*t - 826. Determine r(69).
2
Let b(q) = 29*q - 345. Give b(8).
-113
Let j(l) = 7*l - 89. Determine j(13).
2
Let f(j) = -60*j + 309. Calculate f(8).
-171
Let n(u) = 152*u - 522. What is n(4)?
86
Let m(s) = -30*s - 657. Calculate m(-27).
153
Let j(b) = -3*b**3 - 139*b**2 - 47*b + 5. Give j(-46).
51
Let o(a) = -22*a**3 - 2*a**2 - 1. Calculate o(-2).
167
Let b(x) = -336*x + 34270. Determine b(102).
-2
Let a(p) = 2*p**2 + 231*p - 930. Determine a(4).
26
Let p(d) = 2*d**3 + 18*d**2 - 4*d - 85. Calculate p(-8).
75
Let b(k) = 80*k - 4862. Give b(61).
18
Let f(a) = -a**3 - 10*a**2 - 13*a + 11. Determine f(-10).
141
Let y(p) = -8*p**2 + 70*p + 696. What is y(-6)?
-12
Let w(p) = 6*p**3 - 13*p**2 - 29*p + 15. Give w(-3).
-177
Let l(c) = -122*c - 520. Calculate l(-4).
-32
Let s(b) = 23*b + 550. Determine s(-26).
-48
Let o(n) = -44*n**2 + 2*n. Calculate o(1).
-42
Let m(c) = c**2 + 46*c - 246. Determine m(-51).
9
Let t(q) = 7*q**2 + 33*q + 13. Calculate t(-4).
-7
Let n(b) = -20*b**2 - 759*b + 20. Give n(-38).
-18
Let u(a) = -33*a + 113. Give u(8).
-151
Let y(j) = -j**3 + 6*j**2 + 3*j - 19. What is y(6)?
-1
Let b(t) = -t**3 + 4*t**2 + 6*t - 4. Calculate b(7).
-109
Let l(g) = -g**3 + 20*g**2 + 16*g + 250. Determine l(21).
145
Let h(r) = -r**2 - 1531*r - 18233. Calculate h(-12).
-5
Let j(z) = 2*z**3 + 102*z**2 + 288*z - 10. Determine j(-48).
-10
Let o(m) = 57*m + 186. Give o(-2).
72
Let x(o) = -o**3 + 59*o**2 + 74*o - 1027. Determine x(60).
-187
Let p(r) = -10*r**2 - 8*r - 6. Give p(-5).
-216
Let f(a) = 10*a + 143. Give f(-17).
-27
Let s(p) = p**3 + 41*p**2 + 110*p + 62. Give s(-38).
214
Let t(c) = 8*c**3 - 15*c**2 + 22*c + 28. Give t(5).
763
Let h(m) = -11*m**2 - 46*m - 33. Calculate h(-3).
6
Let p(s) = 105*s**2 + 1183*s - 924. Give p(-12).
0
Let x(t) = -249*t**2 - 22*t + 21. Calculate x(1).
-250
Let u(i) = -2*i**2 - 74*i - 308. Calculate u(-5).
12
Let v(q) = 34*q**3 + 206*q**2 + 21*q + 61. Determine v(-6).
7
Let b(v) = -v**2 - 19*v - 216. Determine b(-12).
-132
Let t(v) = -734*v - 21335. Give t(-29).
-49
Let g(v) = 2*v**2 + 224*v - 1167. Give g(-117).
3
Let q(v) = 86*v + 5802. Give q(-67).
40
Let r(o) = -2*o**2 + 2*o + 89. What is r(0)?
89
Let l(m) = 4141*m - 33121. Give l(8).
7
Let w(b) = -372*b - 1083. Determine w(-3).
33
Let f(v) = 209*v + 7086. Calculate f(-34).
-20
Let p(x) = 2*x**3 + 3*x**2 - 434*x + 846. Determine p(2).
6
Let p(x) = 342*x - 10170. Calculate p(30).
90
Let t(o) = -o**3 + 13*o**2 - 41*o + 57. Calculate t(6).
63
Let m(r) = 2*r**2 + 13*r - 349. Give m(-17).
8
Let y(f) = 3*f**3 - 10*f**2 - 5*f + 26. Calculate y(3).
2
Let o(c) = -c**2 + 371*c + 28802. What is o(-66)?
-40
Let l(u) = -17*u**2 + 1192*u - 144. Determine l(70).
-4
Let r(b) = -80*b**2 - 718*b + 10. Give r(-9).
-8
Let u(t) = -87*t - 655. Give u(-8).
41
Let i(o) = o**3 - 37*o**2 + 6*o + 1079. Determine i(36).
-1
Let d(t) = -156*t - 1099. What is d(-7)?
-7
Let x(n) = n + 104. Give x(-69).
35
Let u(s) = s**3 + 19*s**2 + 5*s - 176. Calculate u(-18).
58
Let p(f) = f**2 + 4774*f + 19070. Give p(-4).
-10
Let w(y) = -220*y - 12389. Give w(-56).
-69
Let v(g) = -12*g**2 - 52*g - 9. Give v(-4).
7
Let l(i) = 60*i - 363. Calculate l(6).
-3
Let o(y) = y**2 + 71*y + 690. Give o(-10).
80
Let u(a) = -6*a**3 - 42*a**2 - 33*a + 4. Give u(-6).
-14
Let r(i) = i**3 + 16*i**2 + 65*i + 24. Calculate r(-14).
-494
Let g(s) = s**3 + 8*s**2 - 16*s + 2. What is g(-11)?
-185
Let f(o) = 2*o**3 - 25*o**2 + 35*o - 16. Calculate f(11).
6
Let v(t) = -4*t**3 - 10*t**2 + 30*t + 15. Give v(-6).
339
Let d(x) = -32*x - 1643. What is d(-52)?
21
Let m(r) = 6024*r + 54211. What is m(-9)?
-5
Let g(m) = -m**3 - 12*m**2 - 15*m + 98. Calculate g(-5).
-2
Let v(s) = -s**3 + 39*s**2 + 809*s - 15. Determine v(-15).
0
Let t(n) = n**3 - 4*n**2 + 10*n - 27. Calculate t(5).
48
Let u(n) = -6*n + 572. Calculate u(96).
-4
Let j(i) = 2*i**3 - 33*i**2 - 21*i + 317. Calculate j(16).
-275
Let n(m) = m**2 - 59*m - 9. Give n(0).
-9
Let w(g) = 113*g + 426. What is w(-3)?
87
Let o(q) = -2*q**3 + 44*q**2 - q - 878. Calculate o(21).
-17
Let d(r) = -r**3 - 26*r**2 + 177*r + 6. What is d(6)?
-84
Let d(w) = w**3 + 12*w**2 - 70*w - 34. What is d(-17)?
-289
Let i(d) = d**3 - 16*d**2 + 204*d - 4324. Give i(18).
-4
Let t(r) = r**3 + 30*r**2 + 193*r + 94. What is t(-21)?
10
Let x(m) = 271*m + 6387. Calculate x(-23).
154
Let x(u) = u**2 - 18*u + 156. Determine x(6).
84
Let p(z) = 2*z**3 - 20*z**2 + 22*z - 199. Determine p(10).
21
Let a(d) = 35*d - 1601. What is a(46)?
9
Let y(u) = -3*u**3 + 22*u**2 - 25*u + 111. Determine y(7).
-15
Let b(i) = -i**3 - 55*i**2 + 131*i + 940. Determine b(-57).
-29
Let c(m) = -74*m**3 + 3*m**2 - 4*m. Calculate c(1).
-75
Let w(x) = 29*x - 401. Give w(21).
208
Let a(j) = -2*j**3 - 15*j**2 + 120. Give a(-7).
71
Let i(t) = 2078*t + 10386. Determine i(-5).
-4
Let t(o) = 23*o**3 + 3*o**2 + 7*o + 7. What is t(-2)?
-179
Let x(p) = 2681*p - 8088. Give x(3).
-45
Let d(p) = -14*p + 129. What is d(7)?
31
Let b(q) = -7*q**3 + 20*q**2 + 7*q. Determine b(3).
12
Let w(b) = b**3 - 7*b**2 - 36*b - 72. What is w(-6)?
-324
Let i(y) = y**2 - 8*y + 40. Determine i(4).
24
Let c(v) = 4848*v + 48501. Calculate c(-10).
21
Let f(k) = -252*k + 481. Determine f(2).
-23
Let c(y) = 6*y**3 + 281*y**2 - 43*y + 177. Determine c(-47).
-11
Let x(m) = 2*m**2 - 47*m + 220. What is x(17)?
-1
Let k(y) = 77*y - 150. Calculate k(2).
4
Let u(z) = 139*z**2 - 1661*z - 87. Give u(12).
-3
Let y(v) = 2*v**2 - 51*v - 1631. Determine y(44).
-3
Let f(h) = 2*h**2 - 51*h + 226. What is f(6)?
-8
Let i(h) = -h**2 + 55*h + 160. What is i(-3)?
-14
Let d(l) = 59*l - 1415. What is d(24)?
1
Let b(k) = -k**2 - 823*k + 18599. What is b(22)?
9
Let y(w) = -2*w**2 - 225*w - 975. Calculate y(-108).
-3
Let i(s) = -s**2 - 14*s + 390. Calculate i(14).
-2
Let q(a) = -3*a**3 - 279*a**2 + 283*a + 102. Determine q(-94).
8
Let g(a) = -3*a**3 + a**2 - 2*a - 20. Calculate g(0).
-20
Let b(j) = j**3 - 6*j**2 - 35*j + 68. What is b(9)?
-4
Let j(i) = -118*i - 455. Determine j(-4).
17
Let b(w) = w**2 + 560*w + 2780. Calculate b(-5).
5
Let b(m) = 4*m**3 + 33*m**2 - 90*m + 39. Give b(2).
23
Let d(i) = 2*i**2 + 96*i + 403. What is d(-43)?
-27
Let z(d) = -d**2 + d + 119. Determine z(0).
119
Let c(t) = t**2 + 7*t - 16. Give c(-9).
2
Let y(q) = -8*q + 176. Give y(11).
88
Let l(f) = -771*f + 5400. What is l(7)?
3
Let b(r) = 3*r + 102. Determine b(-18).
48
Let z(r) = r**2 + 168*r + 337. Calculate z(-2).
5
Let w(n) = 99*n - 5156. Give w(52).
-8
Let t(r) = -r**3 + 12*r**2 + 4*r - 52. Give t(12).
-4
Let l(n) = 88*n + 916. Calculate l(-10).
36
Let w(l) = -461*l**2 + 1388*l - 44. What is w(3)?
-29
Let u(j) = -906*j + 64325. Give u(71).
-1
Let d(f) = 51*f**2 - 457*f - 5. Determine d(9).
13
Let b(s) = -65*s**2 + 2*s + 126. Determine b(0).
126
Let h(c) = 41*c + 785. What is h(-19)?
6
Let b(r) = -118*r + 1311. Give b(11).
13
Let h(w) = w**3 - 36*w**2 + 67*w - 34. Calculate h(34).
-68
Let w(u) = -4*u + 379. Give w(48).
187
Let y(f) = 27*f**3 - 237*f**2 - 54*f - 19. What is y(9)?
-19
Let r(v) = -2*v**2 - 3*v - 212. What is r(0)?
-212
Let v(l) = 8*l**2 - 16*l - 184. Determine v(-4).
8
Let g(n) = 253*n + 740. Calculate g(-3).
-19
Let x(p) = -303*p + 1186. Give x(4).
-26
Let x(h) = h**3 - 3*h**2 - 50*h - 13. Give x(7).
-167
Let j(c) = c**3 + 31*c**2 - 103*c - 43. Give j(-34).
-9
Let f(d) = -d**2 - 347*d + 12564. What is f(33)?
24
Let m(o) = -22*o - 497. Calculate m(-33).
229
Let b(m) = 114*m**2 - 2138*m - 531. Give b(19).
1
Let m(i) = -5*i**2 + 23*i + 116. Calculate m(-5).
-124
Let k(s) = -3*s**2 + 275*s + 1670. Calculate k(-6).
-88
Let q(k) = k**3 - 36*k**2 + 15*k - 82. Determine q(35).
-782
Let s(q) = 105*q + 19074. What is s(-181)?
69
Let w(f) = -83*f + 1117. Determine w(14).
-45
Let | {
"pile_set_name": "DM Mathematics"
} |
2
Expand (23*a**2 - 87*a**4 - 23*a**2)*(2*a + 3 - 3).
-174*a**5
Expand (-4 + 2 + 3)*((-7*a**4 + 5 - 5)*(-1 + 1 - 2) - 2*a**4 + a**4 - a**4).
12*a**4
Expand 4*c**4 + 0*c**4 - 3*c**4 + (c + 3*c**2 - c)*(-2*c**2 + 3*c**2 - 3*c**2) + 3*c**3 - 3*c**3 - c**4 - 2*c**4 + 4*c**4 - 3*c**4.
-7*c**4
Expand (n**2 + 4*n - 4*n)*((5*n + 4*n - 6*n)*(3*n**2 + 4 - 4) + n**3 - 3*n**3 + n**3).
8*n**5
Expand (-2*m + 1 + 1 - 1)*(5*m - 6*m**2 - 5*m).
12*m**3 - 6*m**2
Expand 602 - 75*m - 602 + m + 2*m - 5*m - 3*m - m + m + (2 + 2 - 6)*(m - m - m).
-78*m
Expand (2*k**4 + 5*k + 111*k**2 - 111*k**2)*(-3 + 2 - 4).
-10*k**4 - 25*k
Expand (2 - 4 - 2)*(2 + 2 - 3)*(5*u - u - u).
-12*u
Expand (-3*v - 4*v + v)*(2*v**3 + 2*v**2 - 2*v**2) + (-3*v + 3*v - 3*v**2)*(0*v**2 + v**2 - 2*v**2).
-9*v**4
Expand (-z**2 + z - z + (0*z - 2*z + 0*z)*(-z + 3*z + 0*z) + z**2 + 4*z - 4*z + 3*z + z**2 - 3*z - 2*z**2 + z**2 + 3*z**2)*(-4*z**2 + 4*z**2 + z**2).
-z**4
Expand (0 - 3 + 0 + 2*c)*(2*c - c + 0*c)*(5*c + 2*c**2 - 5*c).
4*c**4 - 6*c**3
Expand 3*t**2 - 5*t**2 + 4*t**2 + (-1 + 2 + 0)*(t**2 - t**2 - t**2) + t**2 + 2*t**2 + 3*t**2.
7*t**2
Expand 3*n - 4*n + 4*n + (n + 3*n - 2*n + (1 - 2 + 0)*(-n + 2*n - 2*n))*(0 + 0 + 1).
6*n
Expand (-3 + 3*v**3 + 3)*(-v + 2*v - 7 + v).
6*v**4 - 21*v**3
Expand 0*l**5 - 4*l**5 + 2*l**5 + (-2*l**3 + 0*l**3 - 2*l**3)*(21*l**2 + 40*l - 40*l).
-86*l**5
Expand (-2*m**3 + 0*m**2 + 0*m**2)*(-1 - 2*m + 1) + m**4 - 2*m**4 + 0*m**4.
3*m**4
Expand (4*u**3 - 15*u**3 + 6*u**3 - u**2)*(-2 + 0 + 6).
-20*u**3 - 4*u**2
Expand (2 - 2*o**2 - 2)*(-3*o**2 + 5 - 5) - o**4 - 2*o**3 - 2*o**3 + 0*o**4 + o**2.
5*o**4 - 4*o**3 + o**2
Expand -37*q**4 - 226*q**3 + 226*q**3 + (-q**3 - 2*q**3 + 5*q**3)*(3 - 2*q - 3).
-41*q**4
Expand -5*c**2 - 7 + 7 + (2*c - 2 + 2)*(0*c - c + 0*c) + 4*c**2 - 2*c**2 - c**2 + 4*c**2 - c**2 - 5*c**2.
-8*c**2
Expand (1 + 2*g**3 - 1)*(-g - 2*g + 4*g) + (4*g**4 + 4*g**4 - 5*g**4)*(-2 - 1 + 0).
-7*g**4
Expand (4*v**2 + 2*v**2 - 4*v**2)*(10 + 2*v - 10) + (-v + 2*v + v)*(-2*v**2 + 2*v**2 + 3*v**2).
10*v**3
Expand 5*d**4 - 4*d**4 + 2*d**4 + 0*d**4 - 2*d**4 + 3*d**4 + (d**4 + 0*d**4 + d**4)*(-2 + 1 + 2).
6*d**4
Expand (-b - 2*b - 1 - b)*(-5*b + 5*b - 3*b).
12*b**2 + 3*b
Expand (0*p - p - p)*(-5*p + 9*p**2 + 5*p).
-18*p**3
Expand -3 + 3 - r**2 + (-18*r - r + 5*r)*(-5*r + 2 - 2).
69*r**2
Expand ((0 - 1 + 0)*(0 + 2 - 3) - 2 - 1 + 1)*(-5*c + 2*c + 0*c).
3*c
Expand (4 - 4 - 4)*(-5 + 5 + 4*j) + 2*j - 4*j + j.
-17*j
Expand (0*a**4 - 2*a**4 + a**2 - 2*a**2)*(7*a + 2*a + 0*a) + 3*a**5 - a**5 + 0*a**5.
-16*a**5 - 9*a**3
Expand (-4*w**5 - 2*w**5 + 5*w**5)*(-3 + 4 + 0)*(-4 + 3 + 7).
-6*w**5
Expand (-3 + 3 + z**4)*(6*z - 3*z + 4*z) + (2*z**4 - 3*z**4 + 2*z**4)*(2 - 2 - z).
6*z**5
Expand 6*j + 4*j**2 + 3 - 1 - 4*j + 3*j**2 - j**2 - 3*j**2 + (-1 + 0 - 1)*(-5*j**2 + j**2 + 2*j**2).
7*j**2 + 2*j + 2
Expand (1 + 2 + 2)*(-7*k**4 - 2*k**5 + 7*k**4).
-10*k**5
Expand (0 - 2*w + 0)*(w**2 - w**3 - w**2) + 2*w**4 - 2 + 2 + 2*w**4 + 2*w**4 - 3*w**4 - 4*w**4 + 2*w**4 + w**4 + (14*w**3 - 4*w**3 + 4*w**3)*(-3*w + 4*w + 0*w).
18*w**4
Expand (-4*y**3 + 4*y**3 + y**4)*((2 + 0 + 0)*(-9 - 7 + 5) + (-4 - 1 + 3)*(0 - 1 - 1) + 3 - 5 + 1).
-19*y**4
Expand (5 - 2 - 4)*(-2*d**4 + 0*d**2 + 0*d**2) + 0*d**4 + 0*d**4 - d**4 + 0*d**4 + 5*d**4 - 27*d**4.
-21*d**4
Expand (-16 - 6 + 17)*(1 - 3 + 1)*(2*h + 2*h - 3*h)*(0 - 2 - 1).
-15*h
Expand (-4 + 6 - 4)*(7 + 2 - 5)*(g + g - 3*g)*(-2 - 2 + 2).
-16*g
Expand (-4 + 2*k + 4)*(-2 + 2 - 2*k)*(-4*k - 2*k**2 + 4*k).
8*k**4
Expand (2*h**3 + 0*h**3 - 3*h**3)*(-44*h - 80*h + 46*h) - 3*h**4 - 2*h**4 + 3*h**4 + 2*h**3 - 2*h**3 + 2*h**4 + (1 - 1 - h**2)*(-3*h + 3*h - h**2).
79*h**4
Expand c**3 + 2*c + 0*c**3 + 2*c**3 + (-c - c + 0*c)*(-2*c**2 + 5*c**2 - 5*c**2) - 3*c**3 - 2*c**3 + 2*c**3.
4*c**3 + 2*c
Expand (-v**3 + 2*v - 2*v)*(-v + 2*v + 0*v)*(1 - 7 - 8).
14*v**4
Expand -19*u**4 - 4*u**4 + 0 - 1 + (5*u - 4*u - 2*u)*(u - 2*u**3 - u).
-21*u**4 - 1
Expand -2 - 4*l - 3*l + 2*l + (-2 + 0 - 1)*(2*l - 2*l + 2*l).
-11*l - 2
Expand (6*a - a - 3*a)*(-7 - 8*a + 7).
-16*a**2
Expand (4 - 1 + 4)*(2*o**3 - o**2 + o**2).
14*o**3
Expand (1 + b - 1)*((2 - 1 + 0)*(-2*b + 3*b + 4*b) - 4*b + b + 2*b).
4*b**2
Expand (w + 2*w - w)*((1 + 5 - 4)*(-3 + 5 + 0) + 1 + 4 - 2)*(1 + 2 - 1).
28*w
Expand (-2*x**2 - x**2 + 0*x**2)*(1 - 1 - 2*x**3 + 3*x - 3*x + x**3 - 3*x**3 - 2*x**3 + 7*x**3 + (-3*x + 4*x + 0*x)*(-4*x + 2*x**2 + 4*x)).
-9*x**5
Expand (30*m**2 + 15*m**2 - 3*m**2)*(-2*m**3 - m + m).
-84*m**5
Expand (-2 + 1 + 2)*(5*v - 9*v - 5*v).
-9*v
Expand -8*f**2 + 4*f**2 + 0*f**2 + (1 - 4*f - 1)*(-2*f - 2 + 2).
4*f**2
Expand 3*b**4 + 0*b**4 - 2*b**4 + (-4*b + 2*b**2 + 4*b + (-4*b - 2*b + 3*b)*(0 - 2*b + 0))*(-b**2 - 2*b**2 - 8*b**2).
-87*b**4
Expand -c**5 + 0*c**5 + 4*c**5 + (-2*c**4 - 1 + 1)*(-1 - c + 1) + c**5 + c - c - 3 + 3 - 2*c**5 + (c**4 + 2*c**2 - 2*c**2)*(-2 + 2 + c).
5*c**5
Expand (0*l - 2*l + 0*l)*(-l + 2*l**2 + l) + (2*l - 2*l + l)*(4 - l**2 - 4) - 2 - 2*l**3 + 2.
-7*l**3
Expand (0 - 6 + 4 + (3 + 3 - 2)*(0 + 3 - 2))*(4 + 2 - 3)*(3*c + 4*c - 2*c).
30*c
Expand -2 + 2 - t + (-2 - 1 + 1)*(2*t + 4*t - 4*t) + 5*t + 2*t + 5*t.
7*t
Expand (-1 - 2 - 3)*(2 + 4*y - 2).
-24*y
Expand (0 - 5*h + 0)*(-4*h**2 + 4*h - 5*h + 2*h**2).
10*h**3 + 5*h**2
Expand ((-k**2 + 2*k - 2*k)*(0*k - 4*k + 5*k) + k**3 + 2*k**3 + 7*k**3)*(0 + k + 0 + (4 - 3 - 3)*(-2*k + 0*k + k) + 0*k - 4*k + 3*k).
18*k**4
Expand (-15*w + 29*w + 5*w)*(-3*w + 3*w + w**2) + (2 - 2 + w)*(-9 + w**2 - 2*w + 9).
20*w**3 - 2*w**2
Expand (i**2 - 2*i**2 + 0*i**2)*(5 + 2 - 4).
-3*i**2
Expand (2 - 2 + 2*v**3)*((3 - 4 - 1)*(-2 + 3 - 2) - 3 + 7 - 3 + 4 - 3 - 3 - 28 - 28 - 9).
-128*v**3
Expand 2*h**3 + 0*h**3 - h**3 + (5 - 5 + 8*h)*(5*h**2 - 5*h**2 - 2*h - 2*h**2).
-15*h**3 - 16*h**2
Expand 0*m + 0*m + 2*m + 0*m - 6*m + 4*m + (2 + 3 - 3)*(-4*m + 0*m + 2*m) - 5*m + 4*m - m.
-6*m
Expand (3*s**3 + 10*s - 10*s)*(2 + 1 - 4)*(3*s - 4*s - 2*s).
9*s**4
Expand (0 + 1 + 1 + (1 + 1 - 4)*(2 - 2 + 1) - 2 + 1 - 1)*(-2*f**4 + f**4 - 12*f**4) + 2*f**4 - 3*f**3 + 3*f**3.
28*f**4
Expand (-8 - 5 - 4)*(-2*o**2 - 4 + 4).
34*o**2
Expand (-3 + 3 - 1)*(4*x - 5*x - x + 5*x - 2*x - 5*x + (-2 - 3 + 4)*(-1 + 2*x + 1) + 2*x - x + 0*x).
5*x
Expand -2*q**2 + 2*q**2 - 3*q**2 + (-1 + 1 + 2)*(1 + 2*q**2 - 1) + 6*q**2 - 3 - 4*q**2 - 3.
3*q**2 - 6
Expand ((-5*d + 2*d + 4*d)*(0*d + 0*d - 2*d**2) + 2*d - d**3 - 2*d - d**3 + d - d)*(-d - 3*d + 2*d).
8*d**4
Expand (-5 + 3 + 1)*(0 + 4 - 3)*(h + 4 - 4)*(2*h**2 + 14*h - 14*h).
-2*h**3
Expand (3*u + 0*u - u + (2 - 5 + 5)*(4*u - 3*u + u))*(14*u - 14*u + 10*u**2).
60*u**3
Expand (4 - 4 + 4*t**2)*(-2 + 2 - t)*(-5*t + 4*t + 0*t)*(-3 + 5 + 1).
12*t**4
Expand (2 - 4 + 4)*(4 - 3 + 0)*(0*l + 4*l + 0*l).
8*l
Expand (2*o**4 - 2*o**4 + 2*o**4)*(-3*o + 12*o - 4*o)*(-1 + 2 + 5)*(1 + 0 - 3).
-120*o**5
Expand (0*v + 3*v + 0*v)*((-3 + 0 + 4)*(3*v**2 - 3*v**2 + 2*v**4) - 8*v**3 - 13*v**4 + 8*v**3).
-33*v**5
Expand (-6*d**2 + 4*d**2 - d**2)*(-4*d**3 + d**3 + 2*d**3) - 7*d**5 + 2*d**5 + 9*d**5.
7*d**5
Expand (5*m**2 + 2*m**2 + 0*m**2)*(0*m**2 - m**3 + 0*m**2).
-7*m**5
Expand c + 2*c**2 - c + 0*c**2 + 3*c**2 + c**2 + 0*c**2 + 0*c**2 + 2*c**2 - 4*c**2 + 2*c**2 + c**2 + (-2 + 2 + 2)*(-7*c**2 + 4*c**2 + 2*c**2).
5*c**2
Expand k + 1 - 1 + (3 - 2 + 1)*(3*k - 5*k + 5*k).
7*k
Expand 2*l**2 - 3*l**2 + 2*l**2 - l**2 + l + 0*l + 0*l**2 - 3*l + 3*l**2 + 3*l + (3*l - 5*l + 3*l)*(0 + 0 + 2*l).
5*l**2 + l
Expand -3*q + 3*q - 3*q**3 + (0*q**2 + 2*q**2 + 0*q**2)*(q - 1 + 1) + (4*q**3 - 2*q**3 - 4*q**3)*(-2 + 2 - 2).
3*q**3
Expand (-3 + 0 + 6)*(3 + 2 - 6)*(2 - 2 - k) + (4*k + 0*k - 2*k)*(4 + 2 - 5).
5*k
Expand (-3*s + 2*s + 2*s)*(-5 + 2 + 5)*(-1 + 1 - 1).
-2*s
Expand (-4*j**3 + 2*j**3 - 2*j**2 + j**2)*(22*j + 279 - 279).
-44*j**4 - 22*j**3
Expand (-5*s**2 + 0*s**2 + 24*s**2)*(-2*s**2 + 2*s**2 - 2*s**2).
-38*s**4
Expand (-3*h**2 + 2*h**2 - h**2)*(0*h**2 + 2*h**3 + 0*h**2) - 5 + 5 - 3*h**5 - 3*h**5 + 2 + 2*h**5 + 3*h**5 + h**2.
-5*h**5 + h**2 + 2
Expand (-9 - 17 + 5)*(g - 2 + 2).
-21*g
Expand 2 - 2*x - 2 + (0 + 2*x + 0)*(3 + 2 - 7) + 2 + 2*x - 2 - 7*x - x - 11*x.
-23*x
Expand (-v - 2*v + v)*(-2 + 3 - 2)*(2 - 14 - 15).
-54*v
Expand 4*g - 4*g + 6*g**2 + (0*g + 0*g + 2*g)*(-6*g + 3*g + g).
2*g**2
Expand (-2*v**2 + 1 - v - 1)*(0 - 1 + 3 + 1 - 2 + 0 - 4 + 2 + 4 + 2 + 1 - 1 + (-5 + 0 + 3)*(-6 + | {
"pile_set_name": "DM Mathematics"
} |
he second derivative of -v*y**5 + 0*y**2 - 2*y + 0*y**3 + 0 + 1/18*y**4. Solve a(l) = 0 for l.
0, 1
Factor 7*k + k - 5*k**3 - 110*k**2 + 156 + 0*k - 46 - 3*k.
-5*(k - 1)*(k + 1)*(k + 22)
Let z(s) be the second derivative of -s**6/40 + 3*s**5/80 + 7*s**4/16 - s**3/8 - 9*s**2/4 + 121*s. Suppose z(n) = 0. Calculate n.
-2, -1, 1, 3
Suppose 2*g - 2 - 4 = 0. Suppose 5*r + g*u = 24, u + 0 = -3*r + 12. Factor -5*w**r - 4*w**2 - 4*w**3 + w**3.
-4*w**2*(2*w + 1)
Let y(l) be the first derivative of 2*l**3/21 - 4*l**2 - 120*l/7 + 319. Find j, given that y(j) = 0.
-2, 30
Let r(k) be the third derivative of -k**5/240 - k**4/8 - 5*k**3/6 - 2*k**2 - 9. Factor r(o).
-(o + 2)*(o + 10)/4
Let u(g) be the third derivative of -g**6/720 + g**5/72 + g**4/3 - 7*g**3 - 70*g**2 + g. Factor u(w).
-(w - 6)**2*(w + 7)/6
Let o(k) be the third derivative of k**6/120 - 2*k**5/15 + 5*k**4/24 + 7*k**3/3 - 82*k**2. Factor o(s).
(s - 7)*(s - 2)*(s + 1)
Let n(l) = -7*l**5 - 3*l**4 + 2*l**3 - 2*l**2. Let q(w) = 4*w**5 + 2*w**4 - w**3 + w**2. Let m(a) = 3*n(a) + 5*q(a). Factor m(j).
-j**2*(j - 1)**2*(j + 1)
Let k(i) be the third derivative of -i**8/60480 + i**6/6480 + 3*i**4/8 - 34*i**2. Let a(m) be the second derivative of k(m). Find b, given that a(b) = 0.
-1, 0, 1
Let a be 4*(-17)/408*-8. What is p in 10/3*p**3 + a*p - 14/3*p**2 + 0 = 0?
0, 2/5, 1
Let y be (-431)/(-4) - (-16)/64. Let s be 1 + (1/4 - 111/y). Factor s*c**3 - 4/9*c - 2/9*c**2 + 0.
2*c*(c - 2)*(c + 1)/9
Let c = 741/415 + 6/415. Find f such that c - 6/5*f - 3/5*f**2 = 0.
-3, 1
Suppose -15 + 22 = 7*y. Let x be (-12 - -11)*0/(2 - y). Factor x - 1/3*d**4 - 1/3*d**5 + 1/3*d**3 + 0*d + 1/3*d**2.
-d**2*(d - 1)*(d + 1)**2/3
Suppose 5*v + 340 = 5*t, -v + 25 + 51 = t. Suppose t*g - 4*g**2 - 31 - 347 + 54 = 0. Calculate g.
9
Let i(c) be the third derivative of 1/390*c**5 - 17*c**2 + 4/39*c**3 + 0*c + 1/39*c**4 + 0. Factor i(p).
2*(p + 2)**2/13
Factor -13/2*j**2 - 6 + 25/2*j.
-(j - 1)*(13*j - 12)/2
Let u(o) = 4*o**2 + 3*o - 3. Let p be u(1). Factor 8*n**5 + 0*n**p + 3*n**3 - 4*n**4 - 7*n**3.
4*n**3*(n - 1)*(2*n + 1)
Factor 4 + 2*c**4 + c**4 - c**5 - 8*c**3 + 9*c**3 - 7*c**2.
-(c - 2)**2*(c - 1)*(c + 1)**2
Let i be 5 - 0*(-2)/4. Suppose 3*d + d - 30 = -i*z, -29 = -2*z - 5*d. What is q in -6*q**z + 3*q**2 + 6*q**2 + 6*q = 0?
-2, 0
Let y(a) be the second derivative of 1/5*a**2 + 3*a + 1/30*a**4 + 0 + 1/6*a**3. Find d, given that y(d) = 0.
-2, -1/2
Let m(g) = 147*g + 444. Let h be m(-3). Find w such that -3/4*w**h + 0 - 3/4*w + 3/2*w**2 = 0.
0, 1
Let c(o) be the first derivative of 1/21*o**4 - 7 - 6*o + 0*o**3 + 0*o**2 - 1/70*o**5. Let h(d) be the first derivative of c(d). Factor h(v).
-2*v**2*(v - 2)/7
Let y(w) be the first derivative of -2*w**5/45 + w**4/18 + 26*w**3/27 - 25*w**2/9 + 8*w/3 + 153. Let y(u) = 0. What is u?
-4, 1, 3
Let v be (10/(-72)*1)/(16/(-128)). Find s, given that 2/9*s + 0 - 2/3*s**3 + 2/9*s**2 - 4/9*s**5 - v*s**4 = 0.
-1, 0, 1/2
Let q be (112/21 - 4) + 1 + (5 - 7). Let a be 3/(-4)*(-10)/9. Suppose -3/2*b**2 + a*b**3 + 7/6*b - 1/6*b**4 - q = 0. What is b?
1, 2
What is f in 2/5*f - 1/5*f**2 + 8/5 = 0?
-2, 4
Let v = 48 + -39. Suppose -4*n + j + 9 = n, 3*j - v = -3*n. Factor 2/5*z**3 - 1/5*z**4 - 1/5 - 1/5*z**5 - 1/5*z + 2/5*z**n.
-(z - 1)**2*(z + 1)**3/5
Let f(r) be the first derivative of -2*r**3/9 - 50*r**2 - 3750*r + 87. Factor f(w).
-2*(w + 75)**2/3
Let z = -2686/3 + 886. Let h = 83/6 + z. Suppose 18*s**2 + 15*s**3 - 3 - 3*s**4 + 3/2*s - h*s**5 = 0. Calculate s.
-1, 1/3, 2
Let 33*m**3 + 3*m**4 - 3*m**4 + 2*m**4 - 29*m**3 = 0. What is m?
-2, 0
Let h = 18 - 16. Suppose 25*c**3 + 50*c**2 + 33*c**2 + 10*c - 28*c**h = 0. Calculate c.
-2, -1/5, 0
Let c(s) = -2*s - 2. Let x be c(-2). Let g be (-5 - (2 - 8))*2. What is a in a**3 + 9*a + 2*a**3 + x*a**2 - 16*a**2 + 2*a**g = 0?
0, 1, 3
Suppose -7*o + 10*o = 12. Determine d so that 34*d**2 + 0*d**4 - 6*d**3 + 2*d**o - 30*d**2 = 0.
0, 1, 2
Let f(u) = -9*u**2 - 6*u - 4. Let o be f(6). Let l = -1435/4 - o. Factor 15/4*p**4 - 27/4*p**3 - 3/2*p + l*p**2 + 0 - 3/4*p**5.
-3*p*(p - 2)*(p - 1)**3/4
Let h(a) be the third derivative of a**5/20 + 21*a**4/4 + 441*a**3/2 + 2*a**2 - 140*a. Factor h(p).
3*(p + 21)**2
Let v(b) = -2*b**4 + b**2 - 1. Let y(k) = -16*k**4 - 18*k**3 - 41*k**2 - 32*k - 7. Let x(r) = -14*v(r) + 2*y(r). Factor x(c).
-4*c*(c + 1)*(c + 4)**2
Let j(w) be the third derivative of -w**6/120 + w**5/15 - w**4/8 + 14*w**2. Let f be j(2). Solve 3/4*r**3 + 0 + 3/4*r - 3/2*r**f = 0.
0, 1
Let c = 3065 - 3063. Factor 3/10*n + 0 + 1/10*n**c.
n*(n + 3)/10
Suppose -41*l + 46 = -18*l. Solve 0 + 2/5*v + 2/5*v**l = 0.
-1, 0
Let m(b) = -b**5 + b**4 + b**3 + b - 1. Let k(l) = 40*l**5 - 50*l**4 - 45*l**3 + 60*l**2 - 75*l + 35. Let t(r) = k(r) + 35*m(r). Factor t(n).
5*n*(n - 2)**2*(n - 1)*(n + 2)
Suppose -2*v - v = -f - 20, 2*f + 5*v - 4 = 0. Let t = -6 - f. Factor -y**2 + y**2 + 3*y + 2*y**2 + y**t.
3*y*(y + 1)
Let w = 20063 + -60181/3. What is d in -8/3*d + w + 2/3*d**3 - 2/3*d**2 = 0?
-2, 1, 2
Let k(x) = -1. Let c(v) = -3*v**2 + 3*v + 12. Suppose 17 = 5*d - 13. Let m(s) = d*k(s) + c(s). Solve m(n) = 0.
-1, 2
Let p be ((-28)/126)/(((-40)/6)/5). Let k(x) be the third derivative of 0*x + 0 + p*x**4 + 6*x**2 - 1/30*x**5 + 0*x**3. Determine m so that k(m) = 0.
0, 2
Let z(l) be the first derivative of 2*l**6/15 + 2*l**5/5 + l**4/3 + 2*l - 13. Let s(q) be the first derivative of z(q). Solve s(u) = 0 for u.
-1, 0
Determine h so that -13*h**5 + 4*h**2 - 16*h**3 - 68*h**3 + 14*h**2 + 50*h**4 + 5*h**5 = 0.
0, 1/4, 3
Suppose -561*y**3 - 569*y**3 + 1132*y**3 + 12*y**2 = 0. Calculate y.
-6, 0
Suppose 0 = -3*o - 2*o + 4*c + 1016, -413 = -2*o - 5*c. Let b = o - 2650/13. Solve -2/13*g**2 + 8/13 + b*g**3 - 8/13*g = 0 for g.
-2, 1, 2
Let v(p) be the third derivative of -1/10*p**5 + 0*p**3 + 0*p**4 + 0 - 5*p**2 - 1/16*p**8 + 1/35*p**7 + 7/40*p**6 + 0*p. Find t, given that v(t) = 0.
-1, 0, 2/7, 1
Let n(d) = 2*d**2 - 47*d - 69. Let c be n(25). Let i(w) be the first derivative of -2/5*w**5 + w**2 + 3/2*w**4 + c - 2*w**3 + 0*w. Factor i(v).
-2*v*(v - 1)**3
Suppose 2*n + 10 = 0, -2*t + 4*n = 3*t - 20. Let d be 2 - t/(-6 - -5). Factor 4/3 + 4*x + 3*x**d.
(3*x + 2)**2/3
Suppose -848/3*g**2 - 8*g**4 + 1/3*g**5 - 1024/3 + 212/3*g**3 + 512*g = 0. What is g?
2, 4, 8
Let -4*c**2 + 4*c**2 + 6*c**2 + c**3 - 8*c**2 = 0. What is c?
0, 2
Let l(t) = t**2 + 16*t - 54. Let u be l(-19). Let i(o) be the first derivative of 5 + 4/11*o - 2/33*o**u - 1/11*o**2. Factor i(b).
-2*(b - 1)*(b + 2)/11
Let i(h) = -h**3 - 11*h**2 - 11*h - 8. Let l(x) = -x**3 - 2. Let c be l(2). Let w be i(c). Factor -1/3*v + 1/3*v**w + 0.
v*(v - 1)/3
Let h(p) = -6*p**4 + 388*p**3 + 394*p**2 - 8. Let m(j) = 11*j**4 - 776*j**3 - 787*j**2 + 14. Let n(l) = -7*h(l) - 4*m(l). Factor n(a).
-2*a**2*(a - 195)*(a + 1)
Let w(a) = -a + 10. Let m be w(5). Let v be (6 - 2) + -1 + m. What is l in 3*l**2 - l - l + v*l = 0?
-2, 0
Let d(t) be the first derivative of 4*t**3/3 - 52*t**2 + 100*t - 86. Solve d(o) = 0 for o.
1, 25
Let q(a) = -3*a - 13. Let w be q(-6). Suppose -f = 3 - w. Factor 8*b**4 - 3*b**4 - b**2 - b**2 - 3*b**f.
5*b**2*(b - 1)*(b + 1)
Let c(b) be the third derivative of b**8/11200 - b**7/2100 - b**6/400 + b**4/24 + 10*b**2. Let a(g) be the second derivative of c(g). Factor a(p).
3*p*(p - 3)*(p + 1)/5
Let -149/2*l + 2*l**4 - 91/2*l**3 - 219/2*l**2 - 25/2 = 0. What is l?
-1, -1/4, 25
Let w(b) be the first derivative of -3*b**5/5 - b**4/4 + 2*b**3/3 - 57. Factor w(c).
-c**2*(c + 1)*(3*c - 2)
Let r(b) be the first derivative of -b**4/4 - 5*b**3 - 19*b**2 - 24*b - 183. Suppose r(c) = 0. Calculate c.
-12, -2, -1
Let a(h) be the first derivative of 1/2*h - 1/4*h**4 - 10 - 1/10*h**5 + 0*h**3 + 1/2*h**2. Factor a(g).
-(g - 1)*(g + 1)**3/2
Let t be (-14)/6*(-318)/371. Factor -1/4*x**3 - 1/4 + 1/4*x + 1/4*x**t.
-(x - 1)**2*(x + 1)/4
Let y = 2179/6 - 363. Let u(m) be the second derivative of 0 - y*m**4 + m**2 + 3*m + 1/3*m**3 - 1/10*m**5. Factor u(x).
-2*(x - 1)*(x + 1)**2
Suppose -9*b + 116 = -5*b. Suppose -4*j - 29 + b = 0. Let 0*w**3 + 0*w + 1/3*w**4 - 1/3*w**2 + j = 0. What is w?
-1, 0, 1
Let h(m) be the third derivative of m**7/840 - m**6/480 - m**5/40 - 94*m**2. Suppose h(t) = 0. What is t?
-2, 0, 3
Let x(v) be the first derivative of v**5/20 - 5*v**4 | {
"pile_set_name": "DM Mathematics"
} |
form u*l**2 + t + f*l and give u.
75
Rearrange 692*b**3 - 479*b**3 + 2*b**2 - b**2 to u*b**3 + y*b + a*b**2 + o and give u.
213
Express -2791*i**4 - 2 + 5546*i**4 - 27*i - 2773*i**4 + 3*i in the form f*i**4 + v*i**2 + o + u*i**3 + w*i and give o.
-2
Rearrange -2*t**3 - t**3 + 2*t**4 - 3*t**3 + 5 + 5*t**2 + 4*t**3 - 38*t - 7*t**2 to the form v*t**3 + z*t + f*t**2 + i*t**4 + r and give v.
-2
Rearrange 124 + 87*o**2 + o**2 + 2*o**3 - 126 to the form y*o**2 + r + x*o + m*o**3 and give y.
88
Rearrange -1 + f**3 - 3676*f**2 + 3676*f**2 + 56*f + 0 to l + x*f**2 + t*f**3 + s*f and give l.
-1
Rearrange (-2*g**2 + 3*g**2 - 3*g**2)*(2 - 1 - 2)*(4 - 4 + 1)*(-19*g - 38*g - 4*g) to the form n*g**2 + x*g**3 + l*g + m and give x.
-122
Rearrange (4*a**3 + a**3 - 4*a**3)*(-81*a + 103099 - 103099) + 4*a**4 - a**4 - 4*a**4 to b + z*a**4 + d*a + w*a**3 + c*a**2 and give b.
0
Express (-5 - 30*l**3 + 28*l**3 - 2)*(-5*l + 2*l + 5*l - 2*l + 0*l + l + (-4 + 4 + 2)*(-l + l + 2*l)) as r*l**4 + n*l**2 + a*l + u + j*l**3 and give r.
-10
Rearrange (-1 - d**2 + 1)*(-231 - 29*d + 231) + (-12 - 11*d + 12)*(4*d + d**2 - 4*d) to the form p*d + x*d**2 + r + z*d**3 and give z.
18
Rearrange -5 - 153*m**4 + m - m**3 + 309*m**4 - 155*m**4 to r + l*m + z*m**4 + f*m**3 + i*m**2 and give i.
0
Rearrange -f + 3 - 2*f + 0*f + (5*f - 2*f - 4*f)*(-2 + 3 - 2)*(0 + 2 - 5) to s*f + t and give t.
3
Rearrange 11*f**2 - 2*f**4 - 2*f**3 - f**2 - 16*f + 17*f to the form j*f + a*f**4 + m + o*f**3 + i*f**2 and give j.
1
Express (-7*t**3 + 5*t**3 - 3*t**3)*(-16*t + 90 - 90) in the form p*t**3 + u + m*t + x*t**4 + b*t**2 and give x.
80
Express (2 - 2 - 3*x + (4*x + 0*x - 6*x)*(1 - 3 + 0))*(-5 - 1 - 5) + 0 + 0 - 2*x + (2 - 3 + 0)*(-x + x + 2*x) - 1 + 1 - 7*x as a + p*x and give a.
0
Rearrange -61 + 127 + 0*h**2 - h**2 + 3*h**3 - 67 to z*h**2 + f*h + n + t*h**3 and give n.
-1
Rearrange -19*a**4 + 2*a**3 + 56 - 6*a**3 - 55 + 15*a**4 to the form u + x*a + m*a**2 + q*a**4 + h*a**3 and give u.
1
Express (-200 + 169 - 128)*(2 + 2*m - 2) as s*m + b and give s.
-318
Express (1303 - 77*b - 1303)*(b + 0 + 1 - 3*b) as m + s*b + d*b**2 and give s.
-77
Express h**2 - 409*h - 2 + 414*h + 1 + 3*h**4 + 0 as u*h + w*h**2 + t*h**4 + k*h**3 + n and give w.
1
Rearrange -94*w**3 + 128*w**3 + 150*w**3 - w**2 to the form q*w**3 + k + f*w + u*w**2 and give q.
184
Rearrange (1 - 1 - 2)*(0 - 2*g + 0) + 1927 - 141*g - 967 - 972 to v + y*g and give y.
-137
Rearrange -497*k + k**2 - k**3 + 4*k**4 - 487*k + 3 + 984*k to the form b*k**2 + f*k**3 + i*k + w*k**4 + j and give b.
1
Express (0*z + z - 2*z)*(-3*z + 0*z + 2*z) - 770*z**2 + 1477*z**2 - 2*z + 2*z + 3871*z**2 as r*z**2 + m + h*z and give r.
4579
Express (-5 - 10 + 2)*(2 - 2 - 3*l) + l - 3 + 3 as y + g*l and give g.
40
Rearrange (-3*y + 3*y + 13*y)*(-1 + 6 - 1) - 2*y + y + 5*y to z*y + k and give z.
56
Rearrange 10*o + 6*o - 25*o to m + s*o and give s.
-9
Rearrange -6 - 10 + 3*g**3 + 3*g**2 - g**3 + 17 to the form i*g**2 + c*g**3 + h*g + y and give y.
1
Express (-2 - 2 + 2)*(-6*d + 12 - 12)*((-1 + 0 + 0)*(-4 - 1 + 4) + 2 - 3 - 3) as k*d + n and give k.
-36
Express -3*f + 6914*f**4 + 4*f**2 + 3*f**3 + 3*f - 6916*f**4 in the form x*f**4 + m*f**2 + j*f**3 + s*f + t and give j.
3
Express (2*g**2 + 12*g**3 - 2*g**2)*(-9 + 15 - g - 7) as c*g**3 + f*g**4 + z*g**2 + u*g + i and give f.
-12
Express 5421*n + 4192*n - 8120*n as y*n + h and give y.
1493
Express (16 + 11 + 7)*(0 - 2 + 4)*(2*b - 4*b - 7*b - 3*b + 3*b - 2*b + (2*b - 3*b - b)*(-2 + 1 + 2)) as z*b + g and give g.
0
Express -60 - 3*h**2 + 62 + 5*h - h - 3*h as m*h + y*h**2 + i and give i.
2
Express (2 - 2 - 2)*(4*v**3 - v**3 - 2*v**3) + 2*v**2 - 2*v**2 + 3*v**3 - 18943*v**2 + 18943*v**2 + 150*v**3 as x + r*v**2 + q*v**3 + j*v and give q.
151
Rearrange (4*o - 2 + 2)*(117*o - 59*o + 4 - 59*o) to the form a*o**2 + b*o + l and give b.
16
Rearrange -2*p**2 - 8 - 1143*p + 2303*p - 39*p**3 - 1160*p + 2*p**4 to the form x*p**4 + v + n*p**3 + t*p + q*p**2 and give v.
-8
Rearrange (11 - 4 + 1)*(-4 + 9 + 3)*(0 + 2*c + 0)*(-3*c**3 - 10*c**3 + 4*c**3) to the form a*c**4 + n + i*c + d*c**3 + h*c**2 and give a.
-1152
Rearrange (-4 - 1 + 4)*(37 - 19 - 11)*(2*w + 12 - 12) to v*w + m and give v.
-14
Rearrange -8 - 240*d - 756*d - 6*d + 8 to o + p*d and give p.
-1002
Rearrange 11 + 299*m - 7 - 4 to h*m + t and give h.
299
Rearrange 20*c**3 + 70*c + 30*c + 3 - 97*c to the form v*c**3 + s*c**2 + b*c + i and give b.
3
Rearrange 4*p + 24*p**2 - 26*p**2 - 8 + p to v*p + z + r*p**2 and give v.
5
Express (-8*x - 8*x + 3*x)*(11*x + 5 - 39 - 10*x) as t*x**2 + z + k*x and give t.
-13
Rearrange 5*q**2 + 3 - q - 1017*q**4 - 3*q**2 + 1011*q**4 to the form n*q**2 + c*q + u + j*q**4 + l*q**3 and give u.
3
Express -2*q**2 - 269 + 269 - 8*q in the form r + f*q + w*q**2 and give w.
-2
Rearrange (4351*y - 4512*y + y**2 + y**2)*(1 - 1 - 2) to o*y**2 + b + c*y and give o.
-4
Rearrange (-352 - 173 - 535 + 194)*(-4*w**2 + 4*w**2 - 8*w**2) to the form a + p*w + x*w**2 and give x.
6928
Express (0 + 0 + 2)*(-160*f - 221*f + 116*f)*(-f - f + 0*f)*(1 - 1 - 9) in the form h*f + a + n*f**2 and give h.
0
Express (1 - 2 + 2 + (20 + 2 - 151)*(-2 - 1 + 1))*(3*y - 2*y + y) in the form t*y + x and give t.
518
Express (3 + 8 + 4)*(0*a**4 - 3*a**4 + 7*a**4) - 2*a**4 + 6*a**4 + 0 - 1 as y*a**3 + b*a + c*a**2 + n + d*a**4 and give n.
-1
Express (-16*i + 9*i + 2*i)*(i + 3*i + i) + 2*i**2 - i**2 + 0*i**2 as k + s*i**2 + q*i and give s.
-24
Express -4*q**3 - 4*q**3 + 3*q + 0*q**3 - 4*q - 27*q**2 - 21*q**2 as d*q**3 + p + t*q + w*q**2 and give w.
-48
Rearrange 0 - 15 + 70 - 157*d**2 + 152*d**2 to p*d**2 + t + x*d and give p.
-5
Rearrange -8 + 23*u + 3 + 1 to k*u + a and give a.
-4
Express (8 + 20*y - 8)*(3 + 2 - 3 + (-4 + 1 + 2)*(-5 + 4 + 3) - 5 + 5 - 10) - 3*y - y + 2*y as i*y + v and give i.
-202
Rearrange (4 - 1339*k - 1034*k + 1675*k)*(0 + 2*k**3 + 0) to x*k**3 + i*k**4 + v*k**2 + t*k + g and give i.
-1396
Express -12*z**2 + 51*z**2 + 4*z**3 - 22*z**2 + z - 3*z**3 - 16*z**2 in the form r*z + s*z**3 + c*z**2 + x and give r.
1
Express (822*m**3 - 376*m**3 + 208*m**3 + (-3*m + 3*m - 2*m**2)*(3*m + 4*m - 4*m))*(m - 1 + 1) as l*m**3 + v*m + u*m**2 + o*m**4 + d and give o.
648
Rearrange -3*d**3 + d**2 + d - d + (-1031 + 522 - 535)*(d**3 + d**3 - 4*d**3) to s*d + m*d**2 + c*d**3 + f and give m.
1
Rearrange (1 - 1 - 1)*(3*h - 4*h + 3*h) - 18*h - 9*h - 41*h to y*h + o and give y.
-70
Rearrange (53*b**2 - 13 - 95*b**2 + 10)*(-3*b + b + b) to the form g*b + l + c*b**2 + d*b**3 and give g.
3
Express (-8*f + f + f)*(-3 - 4 + 6)*(207*f - 166*f + 274*f) in the form p*f + h + q*f**2 and give h.
0
Rearrange 2*o + 0*o - o - o - o + 3*o - 2*o + 2 - 2 + (2 - 2 + o)*(-3 - 4 + 5) + 27*o + 36 + 7*o - 31*o to the form j*o + a and give a.
36
Express (-3 + 10 + z**2 - 5)*(-14*z + 2*z - 33*z) in the form g*z + q*z**2 + t*z**3 + m and give g.
-90
Rearrange -47679*z**2 + 2*z**3 - 2*z - 6 + 3*z**4 - 19 + 47679*z**2 to the form t + f*z + l*z**3 + n*z**4 + c*z**2 and give f.
-2
Express (d - 4*d - 3*d)*(7*d**2 - 6*d**3 - 7*d**2) as l*d**4 + i*d**2 + w*d**3 + b + y*d and give l.
36
Rearrange (2 + 2 - 3)*(0*z - 2*z + z) + (4738 - 4738 + 407*z)*(4 + 0 + 0) to the form l*z + v and give l.
1627
Express -5253*c**2 + 5256*c**2 - 4*c**4 - 2*c - 5*c**4 as i*c + p*c**3 + s + w*c**4 + g*c**2 and give g.
3
Express -4 - 13*r**3 + 9*r**3 - 2 + 2*r**3 + 5*r**2 + 3*r in the form j + c*r + g*r**2 + v*r**3 and give g.
5
Rearrange (-7*o**2 + 4 - 4)*(-12 + 18 - 4*o + 3*o) to u*o**2 + w + k*o + l*o**3 and give l.
7
Rearrange (-1 - 15*f**2 + 19 - 16)*(6 - 3 - 2)*(-2 - 1 + 5 - 1 + 1 + 1 + (6 - 4 - 4)*(-2 - 1 + 2) - 1 + 0 + 3 - 4 + 1 + 2) to d*f + j*f**2 + n and give j.
-90
Rearrange -2*t - 2*t + 39 + 5*t - 15 to the form m + w*t and give m.
24
Express -10*w**3 + w**4 - w**2 + 0*w**3 + w + 3 + 8*w**3 in the form h + p*w**2 + j*w + n*w**4 + r*w**3 and give p.
-1
Rearrange -459*n - 269*n + 57*n - 694*n + 93*n to the form x*n + w and give x.
-1272
Rearrange -11*q**3 - q**2 + 6*q**3 + 3*q**3 + 127 + 0*q**3 to u + m*q**2 + t*q + r*q**3 and give m.
-1
Express -13*l**4 - 18*l**4 - 19*l + l**3 - 2*l**2 + 17*l + 1 - 8*l**4 in the form b + c*l**2 + h*l**4 + u*l + s*l**3 and give c.
-2
Express (-7 + 0*f**2 + 10 + 3*f**2)*(19*f - 65*f - 62*f) in the | {
"pile_set_name": "DM Mathematics"
} |
Let g = h + -3. Suppose 0 = 52*j - 53*j - 11. Which is the smallest value? (a) 4/5 (b) g (c) j
c
Let n = -0.7 + 0.1. Let m = -0.6 - 0.4. Let s = 951/5 + -191. What is the smallest value in s, m, n?
m
Let c = 899 - 6295/7. What is the second biggest value in c, 0.09, 3, 4/9?
4/9
Let w = -30 + 15. Let u = -17 - w. Which is the second smallest value? (a) 0 (b) 4 (c) u
a
Let w = -135 - -137. Let j = -2 - 4. Let v be (-6)/(-16)*(-2)/j. Which is the third biggest value? (a) w (b) -3 (c) v
b
Let l be 15/(-75) - 21/(-5). Suppose -5 = 2*w + 5*x + 14, 19 = -5*w - 3*x. What is the second smallest value in l, w, -1/3?
-1/3
Let p = 339 - 336. What is the third smallest value in p, 2, -0.1?
p
Let g = -0.39 + -0.01. What is the second smallest value in -4/5, -100, g?
-4/5
Let x(h) = h**3 + h**2 + h + 54. Let t be x(0). Let b = t - 50. Let v = -0.1 - 0.2. What is the smallest value in -2/3, b, v?
-2/3
Let z = 7.5 - 7.1. What is the second smallest value in -2, -6, z, -1?
-2
Let i = -488 + 1462/3. Let k = -13 + 14. What is the second smallest value in k, i, -1/2?
-1/2
Let d = -3 - -4. Let a = 0.469 - -1.531. What is the third smallest value in d, a, -3?
a
Let g = 2.8 + -1.2. Let i = g + -2.1. Let p = -4 + 9. Which is the smallest value? (a) p (b) i (c) -2/15
b
Let r = -64/429 - -10/33. What is the second smallest value in 0.4, 1, r, -14/25?
r
Let f be (-25 - -23) + 14/10. What is the third biggest value in -4, f, -2/7?
-4
Let r = -17 - -14. Let o = 3.26 + r. Let j = o + -3.26. What is the second smallest value in j, 1, 4?
1
Let c(d) = -d**3 - d + 12. Let k be c(0). Suppose 2*f + 14 = k. What is the third smallest value in -3, f, 0?
0
Let w = -0.031 - -11.331. Let f = w - 35.4. Let p = f - -24. Which is the second smallest value? (a) p (b) 1 (c) -9
a
Let m = -5 - -4.4. Let z = -18394.96 - -18395. Which is the second biggest value? (a) -0.4 (b) z (c) m
a
Let f(i) = i**3 - 15*i**2 + i - 12. Let h be f(15). What is the second smallest value in -4, h, 0.2, -2?
-2
Let z = -7 - -6.8. Suppose 5*w = -4 + 9. Which is the second biggest value? (a) 5 (b) z (c) 2/15 (d) w
d
Let t(j) = -10*j**3 - 14*j**2 - 4*j + 9. Let d be t(-3). What is the second smallest value in 0.2, d, 4?
4
Let b = -5 - -7. Let r be 9/(-11) - (-3 + 2). What is the third biggest value in b, r, 3/5?
r
Let m = 7.2 + -62.2. Let h = m - -55.1. Let r = -4 - -8. Which is the third smallest value? (a) r (b) h (c) 0
a
Suppose -3*l + 14 = -2*x + 3*x, -5*x - 25 = -4*l. Which is the smallest value? (a) 0.69 (b) -2 (c) l
b
Let w = -80 + 91. Let q be (-3)/4 + ((-682)/(-104))/w. Which is the third smallest value? (a) 7 (b) 1/8 (c) 0.1 (d) q
b
Let s = -1 - 5. Let x = 588 - 593.5. Let g = x - s. Which is the second biggest value? (a) g (b) -2 (c) -5
b
Let y be ((-130)/16)/(-5) + -2. Let w = -1.62 + 1.7. Let d = w + -0.08. Which is the second biggest value? (a) -3 (b) d (c) y
c
Let h = 310/567 - -2/81. Let b = 45 + -48. Let n be (3/(-6))/(1/2). What is the smallest value in n, b, h?
b
Let v = -301075/4 - -46064977/612. Let t = 13/17 - v. Which is the second smallest value? (a) t (b) 2 (c) -3 (d) -3/5
d
Let h = -2.3 - -1.3. Let k = h - -0.8. Let o be -1*4*(-1)/(-10). Which is the third biggest value? (a) o (b) 2/5 (c) k
a
Let m = 461.1 + -461. Let j be 2 + 3*(2 + -1). What is the second biggest value in m, -0.1, j?
m
Let x = -34 + 29.5. Let m = x + 1.5. Let j = 0 - m. Which is the third biggest value? (a) -4 (b) -3 (c) j
a
Let q = -3 - -3.13. Let s = q - 0.13. Let v = 3 - s. What is the second biggest value in v, 2, 1?
2
Let m = 6.14 + 73.06. Let l = -79 + m. Which is the fourth smallest value? (a) 0.4 (b) 3 (c) l (d) -0.2
b
Let l = -0.047 + 27.047. Let u = -25 + l. What is the second smallest value in -2, -0.2, u?
-0.2
Let v(m) = 2*m - 2. Let f be v(2). Let h = -438/71 + 1385/213. Which is the fourth biggest value? (a) f (b) h (c) -0.2 (d) 2/9
c
Let z = -633 + 630. What is the third biggest value in -4, -1.6, z, 2?
z
Let h = 11 - 8. Let d = 0.9 - -2. Let y = d - h. Which is the smallest value? (a) -1/5 (b) 0.1 (c) y
a
Let q = 2 + -2.13. Let w = q - 0.27. Let k = 10.3 + -10.8. What is the smallest value in 4, k, w?
k
Let b = -9/7 - -8/7. Let y = 1 - 21. Let s = y - -15. What is the second biggest value in -0.3, b, s?
-0.3
Suppose -76 = 4*h + 12. Let q = 67/3 + h. What is the smallest value in q, -3/7, 2/13?
-3/7
Let n = -2918 - -2919. Let k be 4/(2 - 24/14). Which is the second smallest value? (a) k (b) 4 (c) n (d) 0
c
Let q = -162 + 161. What is the third biggest value in q, 1, 5, 0.4?
0.4
Let i = 9 - 17. Let w = -1.469 + 1.569. What is the third smallest value in i, w, 2?
2
Let r = -150.2 - -149.8. What is the third biggest value in -1.37, r, -4/5?
-1.37
Let g = -4989/890 + 1/178. Let v = g + 27/5. What is the second biggest value in -0.4, v, -1/2?
-0.4
Let h = -20 + 21. Let r be (-8 + 7)*(-3)/(-5). Which is the third smallest value? (a) r (b) h (c) -2 (d) 0.1
d
Let t(j) = j**3 - j**2 - j + 1. Suppose -13*i + 10 = -8*i. Let m be t(i). Which is the smallest value? (a) 4 (b) m (c) -0.1
c
Let j be 49/(-35)*6/(-63). What is the smallest value in j, -1, -0.5, -1/5?
-1
Let m = 7/11 + 34/33. What is the third smallest value in m, -2/7, -5, 0.4?
0.4
Suppose -y + 5*y = -8. Let a be 6474/84 + 2/y. Let d = -151/2 + a. What is the second smallest value in 0.2, 5, d?
d
Let p be 46/(-14) - 36/(-126). Let h be p - (-133)/49 - 8/(-126). What is the second biggest value in -11, h, -1?
-1
Let f = -27 - -83/3. Let h = -60 + 65. Which is the fourth smallest value? (a) f (b) -3 (c) -2 (d) h
d
Let q = 1533/20 - 327/5. What is the second smallest value in 4/5, -3, q?
4/5
Let w be 1/(0 - (-1)/(-4)). Let m(o) = 83*o - 416. Let f be m(5). Which is the third biggest value? (a) 3/7 (b) f (c) w (d) 3
b
Let p = -109.3 - -118. Let w = -9.2 + p. What is the second smallest value in 3/4, w, 3, -7?
w
Let p be 1/(-3)*(2 - -3 - -4). Let z = -104/495 - 2/165. What is the second biggest value in 2/3, z, p?
z
Suppose -5*n - 3 = -2*o, -n - 4 = -4*o + 7*o. Let p = o + 3. Which is the biggest value? (a) 10 (b) 0.5 (c) p
a
Let f be (-3 - -1)/(14/3). What is the second smallest value in 0.2, f, -3, 2?
f
Let m be 4/(-8)*-14*1. Let r(l) = 6 - m + l - 6. Let t be r(3). What is the third biggest value in t, -1/6, 5/6?
t
Let o(i) = 104*i**3 - i - 1. Let x be o(-1). Let n = 831/8 + x. Let j = 0.122 + -0.122. Which is the biggest value? (a) n (b) j (c) 3/8
c
Let v = 0.43 + -0.59. Let j = v + 4.16. Which is the biggest value? (a) 4/7 (b) 0.8 (c) j
c
Let p be (9 - (-2 + 26))*(-2)/(-6). Which is the fourth biggest value? (a) p (b) 1/3 (c) 1 (d) -0.5
a
Suppose -11*j + 6 = -8*j. Suppose j*n - 4 = 10. Suppose v - n = -2. Which is the third smallest value? (a) -1/4 (b) v (c) 2
b
Let t be 1/2*8*1. Let v = 52323 - 52322.6. Suppose y - 2*y - 2*k - 1 = 0, 2*y - 5*k = -20. What is the biggest value in v, y, t?
t
Let p(t) = t + 12. Suppose j = -0*j + 1. Let f = -10 - j. Let y be p(f). What is the third biggest value in -2/3, -2, y?
-2
Let t = -18 - -16. Let i = t - -6. What is the fourth biggest value in 3/4, 3, 2/7, i?
2/7
Suppose 2*o - 2 = 0, 3*o - 172 = 5*r + o. Let l(s) = -28*s + 567. Let m be l(19). Let h = r + m. Which is the biggest value? (a) -2/13 (b) h (c) -7/5
b
Let v be (1 + -1 - -4) + (4 - 8). Let r = 3 - 0. Suppose -w - r = 2*w. Which is the biggest value? (a) 2/7 (b) w (c) v
a
Let x = 0.72 - 31.72. Let h = x - -31.1. Which is the third biggest value? (a) 6 (b) h (c) 3
b
Let h = -233 - -1626/7. What is the fourth biggest value in -1/3, h, 1/4, -0.3?
h
Let l be (-14)/(-4) + 357/(-70) + 1. What is the third biggest value in -5, l, -0.1, -3/2?
-3/2
Let w = 216 - 221. What is the third biggest value in w, -0.4, -3/7, 2?
-3/7
Let y = 227.7 - 228. Let c = -11.9 - -0.9. What is the third biggest value in -5, y, c?
c
Let n be 132/34 + 2/17. Let i be (n/(-14))/(9/7). Which is the third biggest value? (a) 0.3 (b) i (c) -1/6
b
Let m be (-1)/4 + 1333/1204. Let x = 66 - 66.3. What is the fourth biggest value in m, 0, 3/5, x?
x
Suppose 5*d = 6*d + 3*x + 2, d - 2*x - 3 = 0. Suppose -s = d - 0. Let i = 1059 - 1059.2. Which is the second smallest value? (a) 2/5 (b) i (c) | {
"pile_set_name": "DM Mathematics"
} |
at is the units digit of r?
8
Let o = 131 + -75. Suppose 0*f = -2*f + o. Suppose 0 = 5*n - n - f. What is the units digit of n?
7
Let x be (1/(-2) + 0)*0. Let k be (-155)/(-5)*(-17 - x). What is the tens digit of (-2)/15 + k/(-15)?
3
Let o(m) = 0*m - 7*m + m + 4 - 3. Let d(u) = u**2 - 6*u. Let c(w) = 4*d(w) - 3*o(w). What is the units digit of c(3)?
5
Let v(s) = 2*s**3 - 3*s**2 + 5*s - 3. Let u(q) = -8 + q + 14 + 8. Let k be u(-11). What is the units digit of v(k)?
9
Let u(z) = 2*z**3 - 2*z**2 + 2*z + 1. What is the tens digit of u(4)?
0
Suppose 4*w - q = -0*w - 44, -2*w + 5*q - 22 = 0. Let i = 205 - w. What is the tens digit of i?
1
Suppose -6*x + 2116 = 262. Let u = x - -1. What is the hundreds digit of u?
3
Let s(g) = 80*g**2 - 1. Suppose 0 = -7*j + 3*j. Suppose p + 3*d - 7*d - 11 = 0, -4*p + 2*d + 2 = j. What is the units digit of s(p)?
9
Let f(c) = -c**2 - c + 4. Let z be f(0). Suppose 3*a - z = 2. Suppose 0 = -5*w + a*r + 80, 4*w + r - 102 + 38 = 0. What is the tens digit of w?
1
Suppose -3*n - 4*n = -1505. Suppose 3*z = k + n + 512, -2*k = 2*z - 474. What is the hundreds digit of z?
2
Let s(d) = d**2 - 17*d + 8. Let c(h) = h**2 - h + 1. Let n(u) = 4*c(u) - s(u). What is the units digit of n(6)?
2
Let t = 12 - 12. Let r(a) = a**3 + a**2 + a + 83. What is the units digit of r(t)?
3
Let s(p) = p**3 + 2*p + 9. Suppose -3 = -3*o + 3*a, 7 = 5*a - 8. What is the tens digit of s(o)?
8
What is the units digit of (1 + (79 - -2))*6/2?
6
Suppose -11*n - 4743 = -28*n. What is the hundreds digit of n?
2
What is the hundreds digit of (-6527331)/(-5290) + (-1 - (-22)/20)?
2
Let m(q) = 128*q**2 + 62*q + 22. What is the thousands digit of m(4)?
2
Let k(l) be the first derivative of -51*l**2/2 - l + 30. What is the units digit of k(-2)?
1
What is the tens digit of (162/15)/3*(-1860)/(-12)?
5
Suppose 5*b = -y + 21, 2*b + 2*y + 2 = 4. Suppose 0 = 2*r - 3*x - 20 - 43, -b*x = -15. What is the tens digit of r?
3
Let s(m) = m**3 - 11*m**2 - 10*m - 17. Suppose -t - t = -24. What is the units digit of s(t)?
7
Let q = -327 - -782. What is the units digit of q?
5
Let c = 104 + -34. Let b(l) = -4*l**3 - l - 1. Let r be b(-1). Suppose -r*z + c = -98. What is the tens digit of z?
4
Let a be 332/20*(4 - -1). Let u = 4 + 1. Suppose 0 = -5*s + 4*z + a, 3*s + 0*z + u*z = 72. What is the tens digit of s?
1
Let c = -285 - -594. What is the units digit of c?
9
Let k(f) = f**2 + f - 1. Let h(l) = 2*l**2 - 18*l - 5. Let x(v) = h(v) - 3*k(v). What is the tens digit of x(-19)?
3
Let h(x) = x**3 - 6*x**2 - 7*x. Let v(p) = -p**3 - 9*p**2 + 8*p - 13. Let n be v(-10). Let r be h(n). Suppose r = 2*g - 157 + 45. What is the tens digit of g?
5
Let g(c) = -4*c**3 + c**2 + 2*c - 2. Let w be g(-2). What is the tens digit of -4 - (-2 - -1 - w)?
2
Let q(f) = -11 + 10*f - 4*f + 6 - 29. What is the units digit of q(14)?
0
Let y = -353 - -3237. What is the hundreds digit of y?
8
Let o(i) be the third derivative of 17*i**6/120 + i**5/60 - i**4/24 + i**3/6 - 4*i**2. Let m be o(1). Suppose -m = -q - 6. What is the units digit of q?
2
Let l = 1000 - 596. What is the tens digit of l?
0
Suppose -4*g = 4*u + 2500, 3*g - 2*g = -2*u - 1255. Let h be 1/4 - u/40. Suppose -2*x = -3*x + h. What is the units digit of x?
6
What is the tens digit of ((-1804)/6)/(12/(-18))?
5
Let i = -7 + -1. Let b = i - -6. What is the units digit of ((-2)/(-5))/(b/(-5))?
1
Let z(w) be the third derivative of 13*w**5/60 + w**4/8 + w**3/3 - 12*w**2. What is the units digit of z(-1)?
2
Let t(p) = -p**3 + 10*p**2 - 10*p + 15. Let b be t(9). Suppose b*j + 25 = 571. What is the units digit of j?
1
Let f = -117 - -535. What is the units digit of f?
8
Let o be (-1)/3*(-4 + -2). Let v be (-14)/(-8) - (-2)/8. Suppose v*z = -o*z + 40. What is the units digit of z?
0
Let r = -13 - -18. Suppose 0 = r*o - 4*o + 11. Let p(u) = -u + 10. What is the tens digit of p(o)?
2
Let j(y) = -3*y**3 - 5*y**2 - 23*y - 180. What is the thousands digit of j(-10)?
2
Let d = -40 - -90. Let o be d/18 - (-2)/9. Suppose o*j = j + 70. What is the tens digit of j?
3
Suppose -9 = 13*w - 35. Let d = 3 + -3. Suppose 0*k + 4*o = -2*k + 80, d = w*k - 3*o - 80. What is the units digit of k?
0
Let f = 2505 - 1853. What is the units digit of f?
2
Suppose 4*y + 5*z + 0*z - 423 = 0, 2*z + 346 = 3*y. What is the tens digit of ((16/(-4))/(-2))/(2/y)?
1
Let i(o) = 6*o**2 - 4*o + 5. Let v be i(6). Let h = v + -139. Suppose g - 3*g + h = 0. What is the units digit of g?
9
Let x be 1 + -3 + 15 + 1. Suppose 3*q - x = -2. Suppose 77 - 9 = q*a. What is the units digit of a?
7
Let b = -1003 + 1854. What is the units digit of b?
1
Suppose 2*g - 4 = -0. Let h(m) = 3*m**2 + 4*m**3 - 9*m**g - 5*m**3 - 4 - 3 - 7*m. What is the units digit of h(-5)?
3
Let i = -2157 - -3203. What is the hundreds digit of i?
0
Let f be (0*(-4)/(-8))/(-1). Suppose f = -4*h - 4*z + 232, -h - 5*z = -18 - 40. What is the tens digit of h?
5
Let s(i) = 24 - 37 + 3*i + 160 - 2*i. Let r be s(0). Suppose 13 = 4*u - r. What is the tens digit of u?
4
Suppose -8*v + 3*v + 300 = -5*c, 5*c - 204 = -4*v. Suppose 0 = -m - m + v. What is the units digit of m?
8
Let r(p) = 14*p**2 - p + 47. What is the hundreds digit of r(7)?
7
Suppose 2428 = 11*b - 7*b. What is the tens digit of b?
0
Suppose 5*m - m - 720 = 0. Suppose 3*k + k = m. What is the tens digit of k?
4
What is the units digit of 142/3*171/38?
3
Let k(y) = 2*y - 20. Suppose 2*j = -j + 33. Let m be k(j). Suppose -h + 31 = -4*s, 19 = m*h - h - s. What is the units digit of h?
5
Let z(t) = 5*t**2 - 40*t - 392. What is the thousands digit of z(-19)?
2
Let l be (-108)/15*40/12. What is the tens digit of (-2788)/l - ((-4)/(-24) + 0)?
1
Let j(t) = -17*t. Let f(s) = 17*s. Let q(n) = -2*f(n) - 3*j(n). Let b = -313 + 315. What is the tens digit of q(b)?
3
Let i(x) = 13 - 2 + 4*x + 4*x + 2 - x**2. Let f be i(9). Suppose f*g = -3*w + 75, 9*w - 4*w = -3*g + 114. What is the units digit of w?
1
Let v be 16/(-40) - 2873/10*2. Let j = v + 824. What is the hundreds digit of j?
2
Let w(n) = 102*n - 17. Let o be w(-3). What is the hundreds digit of (-6)/(-7)*(-8 - o)?
2
What is the tens digit of (-178)/((-12)/(-6))*-15 - -1?
3
Suppose 5*s = 0, -p = -s - 3*s. Suppose 4*d - 94 + 238 = p. Let h = -9 - d. What is the tens digit of h?
2
Let g(w) = -668*w**3 - w**2 - 7*w - 4. What is the thousands digit of g(-2)?
5
Let m be (-4)/(-12)*199*3. Suppose 5*f + 42 - m = 3*b, b - 65 = -2*f. What is the tens digit of f?
3
Suppose 2*f = 7*f + 4*n - 32, -f - 3*n = -13. Suppose -2*m - 18 = -f. What is the units digit of (-61)/m + (-20)/(-70)?
9
Let f(g) = -g**3 - 2*g**2 + 6*g + 3. Let o be f(-4). Suppose 0 = 10*x - o*x + 78. What is the tens digit of x?
7
Let h be 9/18*2/(-2)*-6. Suppose h*l - 2*a - 787 = 0, 6 = -3*a - 0. What is the tens digit of l?
6
Let i(n) = 2*n**2 - 17*n - 11. Let h be i(9). Let v(r) = -11*r**3 - 2*r**2 + 1. What is the tens digit of v(h)?
8
Let l be (228/6)/(2/4). Suppose l - 8 = i. What is the units digit of i?
8
Suppose o - 331 = -n, -14*o + 4*n = -15*o + 331. What is the tens digit of o?
3
Let n(a) = 2*a + 6. Let j(t) = 1. Suppose 2*q = -4*v + 12, v + 3 = -2*q - 0*v. Let r(i) = q*j(i) + n(i). What is the tens digit of r(10)?
2
Let v = -20 - -21. Let s be (-3 + v)*1/(-2). What is the units digit of (2 + s)/(2/18)?
7
Suppose 5*k = 3*d + 41 + 176, 0 = -3*k - 2*d + 115. Suppose 3*l + 468 = 3*f, f + 3*l - 50 - 118 = 0. Suppose -f = -44*p + k*p. What is the tens digit of p?
5
Suppose 496 = 19*m - 14400. What is the units digit of m?
4
Let p(a) = -32*a**3 + 2*a + 6. What is the units digit of p(-2)?
8
Let t be (-42)/8 - 7/(-28). Let r = t - -1. What is the units digit of (4 - 0) + (-136)/r?
8
Let p be (-3 - 1) + (-7)/7. Let x be (-88)/(-55) + (-2)/p. Suppose -x*u - 75 = -5*u. What is the units digit of u?
5
Let h = 631 + -365. What is the hundreds digit of h?
2
Let s(r) = -r**3 - 6*r**2 - r - 1. Let h be s(-6). Suppose -4*t = -3*a - 39, 6*t - 1 = h*t - a. Suppose -t*i = -i - 30. What is the units digit of i?
6
Let x(p) be the first derivative of 3*p**2 + 12*p - 13. What is the tens digit of x(2)?
2
Suppose -5*l + 4*v = 493, -3 = -4*v + 5*v. What is the hundreds digit of (2 + -7 + l)*3/(-2)?
1
What is the hundreds digit of (-2)/(48/(-142392)) - (1 + 0)?
9
What is the hundreds | {
"pile_set_name": "DM Mathematics"
} |
f a and 11.
99
Let b = 3605/44 - 339/4. Let d = -2497 + 19917/8. Find the common denominator of b and d.
88
Let c(g) = 304*g**3 - g**2 - 3*g + 3. Let u be c(2). Let w = 17032/7 - u. Calculate the common denominator of w and 41.
7
Let l = 48133/65460833 + -2/45239. Let k = -146149/2894 + l. Calculate the common denominator of k and 25/18.
18
Calculate the common denominator of (26/48)/(20/(-150)) and 19/10.
80
Let i = -159799/24 - -6655. What is the common denominator of i and 65/33?
264
Let x = -3 - -11. Suppose 2*m - 32 = -2*m. What is the lowest common multiple of m and x?
8
Suppose 3*t = -3*l + 32 + 40, 5*t + 72 = 3*l. What is the common denominator of 23/8 and l?
8
Let a(t) = t + 11. Suppose 2 = -4*n + 5*r - 31, 11 = -2*n - 3*r. What is the lowest common multiple of a(n) and 3?
12
Let v = -3 + 6. Suppose -x + 16 = -2*x. Calculate the least common multiple of (-6)/(x/(-6) - v) and 14.
126
Let f = -21 - -40. Suppose -f = -3*v - 1. Suppose -3*d - 2*j + 44 + 12 = 0, -3*d + 61 = j. Calculate the lowest common multiple of d and v.
66
Suppose 4*m = r + 15 - 3, 0 = -5*m - 4*r + 15. What is the least common multiple of 12 and m?
12
Suppose 5*u - 4*v + 120 = v, 43 = -2*u + 3*v. Calculate the common denominator of 12/(-15) - (-606)/20 and u/5*(1 + -2).
10
Let n(m) = -m**3 - m**2 - 2*m. Let k be n(-4). Find the common denominator of (-2)/6 - 454/(-120) and 2 - 4/(k/135).
140
Suppose 0 = -5*t + 29 + 21. Let p(q) = -q**2 - 13*q - 32. What is the lowest common multiple of p(-6) and t?
10
Let t be 2 + -2 - (-526)/(-22). Let u = t + 24. What is the common denominator of u and 1 - 0 - 98/10?
55
Let f be 48/21 + (-8)/28. Let v(s) = -s**3 + 3*s**2 + 3. Let w be v(3). What is the least common multiple of 10 and ((-96)/w)/(-2) + f?
90
Let a(t) = -t**2 + 7*t - 1. What is the least common multiple of 4 and a(5)?
36
Find the common denominator of -71/12 and ((-57)/4)/(99/30).
132
Let a(c) = c**2 + 22*c + 4. What is the lowest common multiple of a(-22) and 1*21 + (-1 - -2)?
44
Suppose -3*n + 13 = 2*a, -4*a = -3*n - n - 16. What is the smallest common multiple of n and 6?
6
Let c = 724172723876 + -189892571656167557/262220. Let a = c - 2/13111. What is the common denominator of (13*(-3)/(-6))/(-3) and a?
60
Let g = -61 - -421/7. Let q = 28229879/22773883 - 66/26207. Let o = q + 10/79. Calculate the common denominator of g and o.
77
Let n = -139/31 + -1/62. Let p(l) = -15*l - 3. Let v(i) = -1. Let o(u) = -p(u) + 4*v(u). What is the common denominator of n and o(3)?
2
Let k = -72447 - -9780239/135. Let i = 2/135 - k. Let b = 288098/79233 - -2/7203. Find the common denominator of b and i.
55
Let g(u) = -u**2 + 5*u + 2. Let z be g(4). Suppose -z*t + t + 150 = 0. Calculate the common denominator of t and -41/11.
11
Find the common denominator of 26 and ((-6)/(-248))/(3/(-19)).
124
Suppose 2*p = n + 2*n + 27, p - 5*n = 24. Find the common denominator of -27/10 and p/21*(-21)/(-66).
110
Calculate the common denominator of -9/10 and (4/(32/284))/(-1).
10
Suppose -5*q = -25, 0*u - 3*q = -5*u - 30. Suppose f + v + 60 = -34, 0 = 2*v + 6. What is the common denominator of u/(-6)*1*f and -87/2?
2
Let m(l) = -2*l - 10. Let i be m(-7). Let c(g) = -g**3 + 4*g**2 - g + 6. What is the smallest common multiple of c(i) and 5?
10
Suppose 0 = -5*t + 55 - 15. Calculate the least common multiple of 14 and t.
56
Find the common denominator of -19/16 and (-856)/(-56)*(-21)/90.
240
Suppose 0 = -a - 2*a + 66. Suppose 11 = 5*l - 9. Calculate the least common multiple of l and a.
44
Suppose -u + 6*u - 25 = 0. Suppose 4*y = -l - l + 6, u*l + 11 = 3*y. What is the least common multiple of 6 and y?
6
Suppose 2*i + 2*b = -32828, 2*b - 32836 = -0*i + 2*i. Let x = i + 196843/12. Find the common denominator of x and -113/6.
12
Suppose 2*k - 4*i = 28, 2*k - 3*i - 38 = -4*i. Let m be 26/39 + 64/(-6). Let r(f) = -f**2 - 12*f - 14. What is the lowest common multiple of k and r(m)?
18
Let c(z) = 2*z**2 - 7*z + 2. Let n be c(6). Let f = n + -10. Calculate the least common multiple of (-3)/(((-30)/(-28))/(-5)) and f.
154
Let u be (-3)/(-1) + -6 - -1. Calculate the common denominator of 2/12 - (-37)/u and -70/9.
9
Suppose -3*s - 33 = -4*z, 2*z - 3*z + 37 = 5*s. Let i = -15 + 23. Suppose 0 = -3*y - i + 62. What is the smallest common multiple of y and z?
36
Let y = 64 - 35. Suppose 3*a - 2 - 6 = 2*o, 4*a + o = y. Let f = -6 - -24. What is the least common multiple of f and a?
18
Let b = 884/3 + -2042/7. Find the common denominator of -54/7 and b.
21
Let t be (-1)/16*118162/(-2). Let w = -3687 + t. Find the common denominator of w and -11/20.
80
Let v(j) = -j - 4. Let l be v(-7). Suppose -l*z - 6 = -36. What is the smallest common multiple of 11 and z?
110
Find the common denominator of 0 + (-236)/(-80)*2 and -9/7.
70
Let s = 8 - 3. Suppose -2*j + 15 = 3*d, -4*j - 2*d + 9 = -1. Suppose 9 = -p - 0*p + 4*o, p + o - 11 = j. What is the lowest common multiple of s and p?
35
Suppose i = 9 - 3. What is the common denominator of (-853)/(-72) - (-2)/(-9) and (-4)/i - 23/18?
72
Suppose -2*w = -2*x + 10, 4*w + 3*x + 9 = w. What is the common denominator of 411/(-180) + w/6 and -53/10?
20
Suppose 3 = 2*y - y. Suppose -8 = 2*n, -3*n + y = 5*v - 30. Let f = 3 + 3. What is the smallest common multiple of f and v?
18
Let i = 28368/23 - 1232. Find the common denominator of -43/6 and i.
138
Let t = -8 - -3. What is the common denominator of 83/10 and (17/25 - 3)*t?
10
Let p be (-2 - 1)*(-14)/6. Suppose p*n - 33 = 4*n. Let l = n - 7. What is the lowest common multiple of 14 and l?
28
Suppose -x + 2*o - 3*o = -11, 0 = 5*x - 5*o - 35. Let i = -1 - -4. What is the least common multiple of i and x?
9
Suppose 3*k - 20 = -h, 0*h - 4 = -2*k + 4*h. Let c = -5 - -7. Calculate the lowest common multiple of k and c/5 - (-90)/25.
12
Let f = 5 - -1. Suppose -k + f = 2. What is the smallest common multiple of k and 10?
20
Let c = -1 - -5. Suppose h = c*h - 6. Find the common denominator of h + 31/4 + 0 and 33/16.
16
Let o = -4717/12 + 397. Calculate the common denominator of o and 29.
12
Let c be -6*(-2)/8*-8. Find the common denominator of ((-17)/4)/((-20)/c) and (-4)/(-6) + (-445)/(-90).
180
Let b = -17 - -12. Let g(f) = -2*f - 6. What is the smallest common multiple of g(b) and 9?
36
Suppose -5*l = -10, 4*l - 3*l = 3*t + 14. Calculate the smallest common multiple of (15/((-6)/(-2)))/1 and (-37)/t - 7/28.
45
Let r be (-12)/(-18) - (-10)/3. Let t(s) = 4*s - 6. Let c be t(r). Calculate the common denominator of 91/4 and (-14)/4 + 4/c.
20
Let k = -3 - -7. Let j(t) = t**3 + 5*t**2 + 2*t + 1. Let s be j(-5). Let i = s + 27. Calculate the least common multiple of i and k.
36
Let s = -11427 + 16940. Suppose 3*y = 0, -y = 4*c + s + 1787. Find the common denominator of (2/20)/((-40)/c) and 49/2.
16
Suppose 22 = -2*x - 0*x. Let i = 7 + x. What is the common denominator of i and -1/2?
2
Let h = -207/35 - -1647/140. Let r = -9083/4 - -2257. Calculate the common denominator of r and h.
20
Let q(b) = b**3 - b**2 - 4*b + 12. Let k = 2 + 20. Calculate the lowest common multiple of k and q(3).
198
Let r be -11 + -1*(1 + -2). What is the smallest common multiple of r/(-4)*64/20 and 10?
40
Let t(k) = -2*k**3 + k**2 + k + 1. Let j be (8 - 3)*2/(-5). Calculate the lowest common multiple of 10 and t(j).
190
Let p(a) = a**3 + 6*a**2 + 4*a + 5. Let i(d) = 2*d**2 + 4*d + 1. Let v be i(-4). Let q = v - 7. What is the smallest common multiple of p(-5) and q?
10
Let a = -35 + 42. Calculate the least common multiple of 4 and a.
28
Let q = 661030850044918005 + -6216852362008854176955289/9404784. Let f = q - -1/1044976. Let p = -1071 - f. Calculate the common denominator of 45 and p.
9
Suppose -1 = 2*b - r, 3*b + 3*r = -2 + 23. Suppose 4*j - 38 = -3*z - 4, 2*j - 22 = -b*z. Let m = -2 - -18. Calculate the least common multiple of z and m.
80
Suppose 0 = v + k - 3, 4*v + 3*k - 2*k = 6. What is the common denominator of -10 and (-32)/3 - (3 - v)?
3
Suppose -14 - 2 = -2*a. What is the smallest common multiple of 16 and a?
16
Let a = 2817648 + -202865489/72. Let s = -548/9 + a. What is the common denominator of (4/3)/(42/(-45)) and s?
56
What is the common denominator of (-50)/(-36) + 4/(-12) and -101/2?
18
Let d(q) = -q**2 + 4*q + 7. Let h be d(5). Suppose v - h*v = -2*z | {
"pile_set_name": "DM Mathematics"
} |
- 0*t + d. Solve -t*b = w + 4*w + 8, 2*w = -5*b + 12 for w.
-4
Let d = -34 + 353. Suppose 19*k + 15 = d. Solve 0 = 5*u + 5, -4*w - k = -u - 5 for w.
-3
Suppose -14*v + 75*v - 81 = 224. Solve -v*s = -k - 25, -2*s + 17*k = 13*k - 28 for s.
4
Let v(y) = -5*y - 139. Let q be v(8). Let x = 200 + q. Solve x = 2*k + 3*m + 8, 4*k + 2*m - 6 = 0 for k.
-1
Let q = -802 + 805. Solve 3*p + 2*c + 6 = 12, q*p + 4*c - 12 = 0 for p.
0
Let z(s) = 93*s + 292. Let d be z(-3). Solve -5*y + 1 = 4*q + d, 9 = -4*y - 3*q for y.
0
Let a(p) = -53*p - 362. Let f be a(-7). Suppose -f*w - 2*w = -33. Solve 11 = -2*k + 4*l + 1, 0 = w*k + l - 13 for k.
3
Let c(v) = 50*v**2 - 12*v - 14. Let m be c(-1). Solve 0 = 4*t + 5*g - 15, 52*g = -3*t + m*g + 11 for t.
5
Let z(r) = r**2 - 18*r - 4. Let u be z(19). Suppose 2*n - 5*o - u = 0, 15*o - 11*o + 29 = 5*n. Solve n = 4*i + 3*c, c - 3 - 4 = 4*i for i.
-1
Suppose 9*b = 45 + 117. Solve 0 = 2*l + 4*n + 8 - 2, l - 5*n = b for l.
3
Suppose -3*a = -3*j - 36, 2*j = -a + 460 - 475. Solve 0 = -u - 3*k, -a*u = 44*k - 42*k for u.
0
Let f(x) be the first derivative of 7*x**2/2 + 21*x - 23. Let g be f(3). Let w = g + -27. Solve 0 = -b - 3*b + 2*c - 12, -5*b - 4*c = w for b.
-3
Let y = 15896 + -15892. Solve 3*i - 4 = -4*j, 3*i - i = -3*j + y for i.
-4
Let i(b) = 2*b + 115. Let s be i(-55). Solve 25 = -5*k - s*x, 12*k - 1 = 8*k + 3*x for k.
-2
Let i = -3698 + 3698. Solve -w + 4 = w + j, i = -5*j + 20 for w.
0
Let q = -176 + 179. Suppose -2 = -4*d - 2*g, -1 = q*d - 2*g + 1. Solve 3*t + b + 10 = d, 5*t - 2*b + 14 = -b for t.
-3
Let n = -7 + 10. Let c = 45677 - 45673. Solve -2*q - n*u = q - 18, -4*u = -c for q.
5
Suppose 4*v = -4*z - 8, 152*z - 2 = -4*v + 153*z. Solve v = t + 5*f + 19, -3*t + 6*f = 7*f + 15 for t.
-4
Let f = -148 + 150. Suppose -4*n - 6 = 4*l - 22, 0 = -l - f*n + 4. Solve -4*v - v - r = 2, -15 = 3*v - l*r for v.
-1
Let l be (14 - (18 + -4))/9. Solve l = 5*w + 4*u + 14 + 1, -2*u = 3*w + 9 for w.
-3
Let l be 1/(-4) - 34/(-8). Let s be -55*4/(-44)*(-6)/(-3). Solve 2*x + a = s, -l*x - 5*a - 11 = -37 for x.
4
Suppose 17*j = 42 - 8. Solve -3*o = -4*d - 12, -j*d + 2*o = -3*d + 8 for d.
0
Let w be 182 + -180 + (0/2 - (-1 - 0)). Solve -w = -3*c + 2*i, -c + 3*i - 1 = -2 for c.
1
Let m = 14 + -22. Let k be (10/m - -2) + (-633)/12. Let h be (-122)/(-8) - (-13)/k. Solve 8*o = 3*o + 5*z + h, -6 = -2*o - 2*z for o.
3
Let w be ((-1050)/12 + -4)*-2. Suppose 179*j + 20 = w*j. Solve -2*q + 6 = 2*m - m, 13 = 2*m + j*q for m.
4
Let l = 10 - 2. Let p be (5/(-4))/(14/l - 2). Let w be (25/(-10))/p - 15/(-6). Solve -4*v + w*d = 8, 3*v + 0*d + 7 = 2*d for v.
-1
Let a = -201 + -42. Let h = a + 245. Solve 7*q - 3*u + 1 = h*q, 2*q = -u + 4 for q.
1
Let x(w) = 298*w - 18170. Let k be x(61). Solve k = 3*y + 5*p, -7*y - 2*p = -3*y + 8 for y.
-4
Let c = -39257 - -39260. Suppose 2*d - 1 = 3. Solve -3*v = -d*o - 1, -c = -4*o + 3*v - 2 for o.
1
Let b = 31374 - 31369. Solve 0 = 3*m - 2*d - 6, -10 = -b*m - 15*d + 18*d for m.
2
Let q be 1121/118 + (-5)/(-2). Solve q = 2*w - g, 32 = 3*w + w - 4*g for w.
4
Suppose 0 = 3*d + 177 - 54. Let r = 50 + d. Solve -5*s = 3*m - r, m - 1 = -4*s + 2 for m.
3
Let g(k) = -9*k - 71. Let b(n) = 5*n + 35. Let t(m) = 5*b(m) + 2*g(m). Let o be t(-4). Solve -5*q = o*h, -2*q + q + 5*h + 30 = 0 for q.
5
Suppose 3*x - 16 = 2. Let z be (-54)/x*(-16)/18. Solve -10*a = -7*a - 2*w - 6, -5*w + z = 4*a for a.
2
Let j be (-8)/(-36) - (-86)/18. Suppose -3*r + 6*r - j*g - 58 = 0, 5*g + 25 = 0. Suppose r*h - 9*h = 0. Solve h = 7*x - 2*x - 10, 3*x = -u + 7 for u.
1
Suppose -344*d + 7 = 5*f - 346*d, 0 = -d + 9. Solve f*n = u - 10 + 2, 0 = -2*n - 5*u + 13 for n.
-1
Suppose 3*x - 30 = -3*a, 2*a - 10 = x - 5. Suppose 2*o + 5*s - 24 = 0, 12 = -22*o + 23*o - 2*s. Solve -2*j - x*p = 3, -4*j - p = 3 + o for j.
-4
Suppose 0 = -4*r - 54*a + 50*a + 28, -2*r = 3*a - 9. Solve -3*o - n = -4*n - r, -o - 3*n - 16 = 0 for o.
-1
Let s = -226935 - -226938. Suppose -51 = -4*x - 3. Suppose -4*b - x = -7*b. Solve -13 = o + b*j - j, s*j + 16 = -4*o for o.
-1
Suppose 5*q + 76 = -2*f + 93, -q + f = -2. Solve -x = -2*y + 4*x + q, 5 = 5*x for y.
4
Let l be (2/(-5))/(-5 - 360/(-75)). Solve -2*p + 5*w - l = w, -4*p - 9 = -3*w for p.
-3
Suppose -i - 7*i = -3*i. Suppose 7*t - 16 - 19 = i. Solve -t*n = h - 3, 0 = 4*n + 4*h + 2 + 2 for n.
1
Suppose 264*c - 135 = 219*c. Solve 4*d + 9 = y, -c*d + 101 - 109 = -y for d.
-1
Let r(f) = f**2 + 24*f + 47. Let i be ((-44)/(-2))/(-39 + 38). Let m be r(i). Solve -m*y - 14 = -h + 6*h, 8 = -2*h for y.
2
Let u(s) = -s**3 - 32*s**2 - 30*s + 45. Let x be u(-31). Let b be x/4 - (49/(-14) - -4). Solve -b*w + 1 = t + w, -4*w + 6 = 2*t for t.
5
Let v(f) = f**2 - 15*f + 51. Let j be v(6). Let s be (-2 - -8)/(1/(j/(-2))). Solve s = -3*h + 2*z, 2*h - 4*z - z + 6 = 0 for h.
-3
Let g = 226 - 224. Suppose 0 = g*x + 2*r + 2*r + 4, -7 = 2*x + 5*r. Solve 3*t - x*t - 5 = -3*n, 22 = 4*t + 2*n for t.
4
Let p be -2 + 3 + -2 - (0 - 3). Let d be 18/((p + 0)/1). Solve -3*o + 2*w + 6 = 7*w, 0 = o + 4*w - d for o.
-3
Let b be 271*(40/(-5))/8. Let j = -269 - b. Solve -5*u + j + 2 = -f, 0 = -3*f + u + 2 for f.
1
Let w = 15334 - 15331. Solve 2*r + w*i - 7 = -3, -r = 5*i - 16 for r.
-4
Let o(p) = -486*p + 9 + p**3 + 972*p + 6*p**2 - 482*p. Let x be o(-5). Let z(b) = 3*b**2. Let c be z(-1). Solve -c*f - 2*i = x, -f + 0*i = -4*i - 14 for f.
-2
Let f = -18 - -44. Suppose 3*s - f - 46 = 0. Let l = -13 + s. Solve -2*j + j + l = 3*b, -b = -2*j - 6 for j.
-1
Suppose -994 = -20*v - 3774. Let i = -135 - v. Solve -i*j - 22 = -2*x, -x + 5*j + 2 + 24 = 0 for x.
1
Let o(v) = 2*v**2 - 14*v + 17. Let h be o(1). Solve 30 = -h*k + 4*r, -3*k + r = k + 13 for k.
-2
Let y(v) = v**3 + 20*v**2 - 678*v + 235. Let h be y(-38). Solve 0 = 2*s + 4*m, 5*m - h*m + 4 = 2*s for s.
4
Suppose 30 = 5*k + 66*a - 69*a, 0 = k - 3*a + 6. Suppose -2*u + 26 = 2*y, -k*u + 4 = 3*y - 13*u. Solve 14 - 2 = 3*p, s - y = -p for s.
4
Let d = -15084 + 15088. Solve r - d*r + 5*h - 16 = 0, -8*r + 14 = -2*h for r.
3
Let m be 3 - ((-5)/10 - -1)*-2. Let q be m/((-4)/5) - (-9 + 0). Solve -k - 2*k = -z - 18, -3*z - q = k for z.
-3
Let q be (-3)/(-54)*862 - (-5)/45. Suppose -3*z = 13*z - q. Suppose -4*b - 25 = -5*x - 6, -5 = -x + 2*b. Solve 5*f + 9 = x*k - 9, -3*k - 6 = z*f for k.
1
Let m(p) = 2*p - 1. Suppose 35*o + 12 = 41*o. Let s be m(o). Let v be ((4 - 1)/s)/1 - -1. Solve v*b + 1 = 3*q - 6*q, -13 = -4*b - q for b.
4
Let y = -35 + 35. Let g = -107 + 62. Let b = 50 + g. Solve y = 5*h - 4*o - 5, b*o - 2*o = -h - 18 for h.
-3
Let i be 3*(-1)/(4/(-8)). Suppose 0 = -6*y - 0 + i. Solve 0 = 3*j - 2*n - 10, -2*n - y + 3 = 3*j for j.
2
Let s be 1/((3*4/(-72))/1). Let v be (5 - (14 - -3))/((-1)/s). Let m be v/(-63)*(-21)/(-6). Solve 5*n - c = 2*c - 6, -3*c + 6 = m*n for n.
0
Let t = 9553 + -9551. Solve -2*s + 2 = 0, 3*s = t*f + 6*s - 5 for f.
1
Suppose 2*n - 4 = 0, p - 20 + 9 = -3*n. Suppose 0 = -p*v - 17 + 57. Suppose -v = -5*b - 3. Solve b = -s, -8 = -4*x + x + 5*s for x.
1
Suppose -38*h - 196 = -42*h. Suppose -69*n = -76*n + h. Solve 5*m + 7 + n = -3*g, -4*g = -3*m - 20 for g.
2
Let b be (9438/(-24))/(-11) + 2/8. Suppose -b*c + 10 = -31*c. Solve c*s - 18 = d + d, -3*d - 22 = -2*s for s.
5
Let u = -280 + 282. Suppose b = -m + 5 - 7, -u*m + 16 = -3*b. Solve 2 = g + 2*f - m, -10 = -g - 4*f for g.
-2
Let k be 56/(-21)*(0 + 2 - -4). Let l be -3 - (-8)/(-16)*k. Solve -2 = -l*v + 3*h - 0, 10 = 3*v - 4*h for v.
-2
Let f be (-684)/81 - 8/(-18). Let w be -2 - -8 - (f - -11). Solve -2 = 5*v - a + w*a, v + 5*a - 18 = 0 for v.
-2
Let p = -872 + 879. Suppose -4 - 9 = -4*r + l, -25 = -5*r + 3*l. Solve 0 = -n + r*n - 3*v + p, 5 = n + 3*v for n.
-1
Suppose 0 = 2*g - 4, -f + 751 = 4*f - 2*g. Let d = f - 115. Let h = d - 36. Solve h = 2*s - 4, -2*i - 2*s - 1 = -5 for i.
0
Suppose -10575 + 10607 = 16*x. Solve 7 = -i - 5*w - x, 3*w = -4*i - 2 for i.
1
Suppose 18 = -z + 4*z. Let p be 0 - -3 - (-2 - -2)/(-1 + 0). Solve -3 = 5*s - z*q + p*q, -3*s = q - 1 for s.
0
Suppose -53 = 3*d + 4*b - 59, 4*d = 2*b + 8. Solve -5*w + 5*h - 40 = 0, d*w + 5*h - 28 = -23 for w.
-5
Suppose -37*b + 36*b + 109 = -13*f, 4*b - 93 = 3*f. Solve -3*u + 5 = -6*u - 2*o, -b = -2*u + 4*o for u.
1
Suppose 0 = -309*a - 60 + 233 + 754. Solve a*y + 4*c + 1 = 2*y, -2*y + 3*c + 9 = 0 for y.
3 | {
"pile_set_name": "DM Mathematics"
} |
+ 13*v**2. What is the second derivative of d(k) wrt k?
72*k**2 - 12*k
Let c(t) be the second derivative of t**9/15120 + t**5/120 + t**4/6 + 3*t. Let p(r) be the third derivative of c(r). Find the first derivative of p(a) wrt a.
4*a**3
Let t(a) = 9*a**2 - 2*a + 1. Let p be t(1). Find the second derivative of p*g**5 - 2*g + 3*g - 5*g**5 wrt g.
60*g**3
Differentiate 2 + 6 - 4 + 15*x**2 - 11*x**2 wrt x.
8*x
Let q(r) = 4*r**6 + 3*r**4 - 3*r**3 - r**2 - 3*r. Let b(f) = f**6 - f**4 + f**3 + f. Let y(o) = -3*b(o) - q(o). Find the third derivative of y(l) wrt l.
-840*l**3
Let r(b) be the second derivative of -5/42*b**7 + 0*b**5 + 0*b**4 + 0 + 0*b**2 + 1/2*b**3 - 4*b + 0*b**6. Find the second derivative of r(x) wrt x.
-100*x**3
Let a(v) = -v**3 - 5*v**2 - 2*v. Let p(o) = -6*o**2 - 3*o. Let t(d) = -6*a(d) + 5*p(d). Find the second derivative of t(i) wrt i.
36*i
Suppose 3*r = -1 + 7. Find the second derivative of -3*z - 4*z**5 + r*z - z wrt z.
-80*z**3
Differentiate 0 + 0*x**2 + 9*x**2 - 3*x**2 + 9 wrt x.
12*x
Let o be (-2)/7 - (-16)/7. Find the second derivative of -5*p + 2*p**4 + 0*p - p**4 + o*p**4 wrt p.
36*p**2
Let s(f) be the third derivative of -f**9/168 + 17*f**5/60 + 9*f**2. What is the third derivative of s(x) wrt x?
-360*x**3
Suppose 0 = -b + 3 - 0. Find the third derivative of 7*m**2 + b*m**3 - 3*m**3 - 2*m**2 - 3*m**3 wrt m.
-18
Find the first derivative of 189*g - 92*g + 4 - 94*g wrt g.
3
What is the third derivative of -37*u**2 - 17*u**6 - u**6 + 55*u**2 wrt u?
-2160*u**3
Let v(j) = -j + 2. Let y be v(0). What is the derivative of 0*n**2 + 4*n**2 - y + n**2 - 2*n**2 wrt n?
6*n
What is the second derivative of 21*i**2 - i + 12*i - 8*i**2 + 4*i wrt i?
26
Let k = -9 + 12. Let r be (-5)/(-4)*(7 - k). Find the second derivative of 4 + 1 - r + a**2 - 2*a wrt a.
2
Suppose -2*y - 5*v + 18 = 2*y, v = 2. Let j be (2/(-4))/(2/(-8)). What is the second derivative of j*h**5 + 2*h + 2*h**2 - 2*h**y wrt h?
40*h**3
Suppose 3*w = -3*h - 6, 0*w + 5*w + 13 = -4*h. Let m be (-1)/(-1)*h*1. What is the second derivative of 2*c + 2*c**m + c - 2*c wrt c?
12*c
Let l(v) = 2*v**2 + 2*v - 4. Let w be l(-3). Let d(f) = -f + 11. Let n be d(w). Find the first derivative of -3 - 2 + 5 - z**n + 3 wrt z.
-3*z**2
Let x = 29 - 25. Find the second derivative of -6*l + 19*l**4 - l - 10*l**x wrt l.
108*l**2
What is the derivative of 17*s + 17 + 19 - 44 wrt s?
17
Let h(l) be the second derivative of -l**7/840 + l**6/360 - l**3/2 - 2*l. Let c(j) be the second derivative of h(j). What is the third derivative of c(x) wrt x?
-6
Let b(p) be the third derivative of -p**5/40 - p**4/12 - p**3/2 + 2*p**2. Let c(j) be the first derivative of b(j). Differentiate c(s) with respect to s.
-3
Let y(z) = -z**4 - 3*z**3 + 3*z + 6. Let l(m) = -4*m + 9*m - 5*m**3 + 12 - 2*m**4 + 0*m**3. Let r(w) = -3*l(w) + 5*y(w). What is the derivative of r(h) wrt h?
4*h**3
Let m(r) be the third derivative of 17*r**7/210 - 9*r**4/8 - 9*r**2. Find the second derivative of m(i) wrt i.
204*i**2
What is the second derivative of -7*f - 5*f**3 - f**3 - 9*f - 14*f**3 wrt f?
-120*f
Let f(m) be the first derivative of 2 - 1/3*m**3 + 0*m - 3/4*m**4 + 0*m**2. What is the third derivative of f(a) wrt a?
-18
Let w(c) be the second derivative of -c**7/840 - c**5/60 + c**4/12 - 4*c. Let v(o) be the third derivative of w(o). What is the first derivative of v(s) wrt s?
-6*s
Let l(i) = -5*i - 8. Let x be l(-4). Differentiate -x*n**3 + 7*n**3 - 1 - 4 with respect to n.
-15*n**2
Let f(w) = 12*w**3 + 8*w**2 + 8*w + 26. Let q(r) = -4*r**3 - 3*r**2 - 3*r - 9. Let p be 3/2*(-5 - -7). Let j(s) = p*f(s) + 8*q(s). Differentiate j(a) wrt a.
12*a**2
Let p(v) be the first derivative of 5*v**2 + 7*v + 4. What is the derivative of p(g) wrt g?
10
Let y(o) be the first derivative of -1/4*o**4 - 2 + o + 0*o**2 + 0*o**3. Differentiate y(i) wrt i.
-3*i**2
Let f(o) be the first derivative of -o**7/168 - o**4/4 + 2*o**3 + 1. Let k(a) be the third derivative of f(a). What is the derivative of k(h) wrt h?
-15*h**2
Let t(b) be the second derivative of -b + 0*b**3 + 0*b**6 - 1/4*b**4 - 1/6*b**7 + 0*b**2 + 0 + 0*b**5. Find the third derivative of t(u) wrt u.
-420*u**2
Let w(x) be the second derivative of x**8/84 + x**5/30 - 3*x**2/2 + 3*x. Let p(c) be the first derivative of w(c). What is the third derivative of p(f) wrt f?
240*f**2
Differentiate 4 - 5 + 2*i**3 - 6*i**3 - 6*i**3 wrt i.
-30*i**2
Let c(f) be the second derivative of 5*f**7/21 - 3*f**4 + 39*f. Find the third derivative of c(m) wrt m.
600*m**2
Suppose 5*z + 2*i - 17 = 3*i, 8 = 4*z + 2*i. Differentiate -z*o - 1 - 2 - 2 + o wrt o.
-2
Suppose -4*r + 5*k - 3 = 0, -3 = -4*r - 3*k + 18. What is the second derivative of v**3 + 4*v**3 - 2*v + 3*v**3 + v**r wrt v?
54*v
Let q(j) = j**2 + j. Let y(n) = -n - 8. Let i be y(-6). Let g be q(i). Differentiate 2*v**g + 1 + 0*v**2 - 2 wrt v.
4*v
Let w(h) = 8*h**2 + 35. Let m(u) = 63*u**2 + 279. Let c(l) = -4*m(l) + 33*w(l). Differentiate c(a) wrt a.
24*a
Let a(l) be the first derivative of -5*l**2/2 + 8*l - 11. What is the derivative of a(o) wrt o?
-5
What is the third derivative of 4*m**3 + 3*m**6 - 10*m**2 + 3*m**6 - 4*m**3 wrt m?
720*m**3
Let v be -1 + 1 - (-6)/2. Let a = 11 + -8. What is the second derivative of 4*x**v + 2*x**5 - 4*x**a - x wrt x?
40*x**3
Let t be 14/8 - (-3)/12. Find the second derivative of 4*f**t - 8*f - 2*f**2 + 2*f wrt f.
4
Let b = 103/60 - 5/3. Let z(p) be the second derivative of 0*p**4 - p + b*p**5 + 0 + 0*p**2 + 1/2*p**3. Find the second derivative of z(l) wrt l.
6*l
Let p be (-21)/(-12) - 1/(-4). Find the third derivative of n**4 - p*n**2 - 3*n**4 + 0*n**2 - n**4 wrt n.
-72*n
Let q(b) = 12*b**4 - 6*b**3 + 4*b**2. Let t(d) = 25*d**4 - 13*d**3 + 8*d**2. Let a(f) = -13*q(f) + 6*t(f). What is the third derivative of a(s) wrt s?
-144*s
What is the second derivative of 15*l + 8*l**2 + 15*l**2 + 7*l wrt l?
46
Differentiate 6*w**2 - 8*w**2 - 23 - 6*w**2 wrt w.
-16*w
Let j = -3 + 7. What is the second derivative of 2*b**2 - j*b**2 + 0*b + 2*b - 2*b**2 wrt b?
-8
Let x(b) be the second derivative of 9*b**8/28 + 5*b**4/4 + 18*b. What is the third derivative of x(i) wrt i?
2160*i**3
Let z(v) = 29*v**4 + 6*v**2 + 11*v. Let u(q) = 6*q**4 + q**2 + 2*q. Let w(m) = -11*u(m) + 2*z(m). What is the third derivative of w(d) wrt d?
-192*d
Let b(c) be the second derivative of 3*c**7/14 + 5*c**3/3 - 11*c. Find the second derivative of b(a) wrt a.
180*a**3
Let o(y) = 16*y**2 - y. Let j be o(1). Let q be ((-12)/j)/((-2)/5). What is the third derivative of v**3 - 1 + 2*v**q + 1 wrt v?
6
Let l(k) be the first derivative of k**7/105 - 2*k**3/3 + k**2 + 1. Let c(n) be the second derivative of l(n). What is the first derivative of c(g) wrt g?
8*g**3
Let x(v) be the third derivative of 7*v**6/120 - v**5/10 + 2*v**2. What is the third derivative of x(k) wrt k?
42
Let t(a) be the first derivative of a**3 + 0*a**2 - 1/4*a**4 + 0*a - 6. What is the third derivative of t(k) wrt k?
-6
Let h(i) be the first derivative of 3*i**4/2 - 3*i - 6. Differentiate h(b) wrt b.
18*b**2
Differentiate -3 + 0*z**2 - 10*z**3 + 0*z**2 - 5*z**3 wrt z.
-45*z**2
Let q(y) be the second derivative of -1/12*y**4 + 9*y + 0*y**3 + 0 + 0*y**5 + 1/3*y**6 + 0*y**2. Find the third derivative of q(n) wrt n.
240*n
Find the second derivative of -32*q**4 + 30*q**4 + 7*q + 53*q**4 wrt q.
612*q**2
What is the second derivative of -4*s + 7 + 5*s**2 - 7 wrt s?
10
Let q(a) be the first derivative of -a**3/3 + 5*a**2/2 + 14*a + 58. What is the derivative of q(o) wrt o?
-2*o + 5
Let i(h) be the third derivative of -h**5/60 - 2*h**3/3 - h**2. Differentiate i(z) with respect to z.
-2*z
Let n(f) be the second derivative of 0*f**4 + 0 + 0*f**2 - 2*f + 1/3*f**3 + 1/10*f**6 + 0*f**5. What is the second derivative of n(s) wrt s?
36*s**2
What is the third derivative of a**4 - 10*a**2 + 7*a**3 - 13*a**2 - 5*a**2 + a**2 wrt a?
24*a + 42
Let t(x) be the second derivative of 25*x**4/12 + 27*x**2/2 + 29*x. What is the first derivative of t(s) wrt s?
50*s
Let v(k) = -49*k**2 + 3*k. Let g(w) = -49*w**2 + 4*w. Let i(z) = -6*g(z) + 5*v(z). What is the second derivative of i(q) wrt q?
98
Let l(n) be the second derivative of 0 - 1/5*n**5 + 3*n**2 + 0*n**3 + 3*n + 0*n**4. What is the first derivative of l(f) wrt f?
-12*f** | {
"pile_set_name": "DM Mathematics"
} |
). Suppose -z*w - 2 + 26 = 0. Solve 0 = -2*a + 3*u + w - 6, 4*u + 1 = a for a.
-3
Let t(x) = x**3 - 12*x**2 - x + 9. Let y be t(12). Let s(i) = i + 6. Let g be s(y). Solve 2*r - 23 = 5*a, 5*r + 0*r - 29 = g*a for a.
-3
Suppose 0 = -639*g + 669*g - 120. Solve 3*x + 8 = -i - i, 4*x + 16 = -g*i for i.
-4
Suppose 54 = -6*n + 66. Solve 0 = -2*c - n*c - x + 19, 0 = -4*c - 2*x + 18 for c.
5
Suppose -4*x = -42 - 34. Solve 2*g = 3*j - x, -18 = -2*j + 4*g - 0*g for j.
5
Suppose 106*q = 92*q. Solve q = -4*r + u + 14, 8*r + 5*u = 3*r + 5 for r.
3
Let n = -627 - -633. Solve 5*w - 5 = 0, -3*x = 2*w - n*w + 7 for x.
-1
Let f = -838 + 852. Solve 4*c + f = 2*u, 0*u = -u - 5*c for u.
5
Suppose 0 = -19*k + 2*k + 340. Suppose -12*o + 7*o = -k. Solve 2*y + o*v + 14 = 0, 6*y = y + 5*v + 10 for y.
-1
Suppose -7*p + 24 - 3 = 0. Suppose 0 = -3*i + p + 3. Suppose -g = 3*g. Solve 3*j + 3*o = -3, g*o = -2*j + o - i for j.
-1
Suppose 0 = 2*i - i - 5. Suppose i*t = 5*r, -t + 10 = 3*r - 2*r. Solve -2*o + 5*d - 11 = -40, 3*o = -r*d - 19 for o.
2
Let j be 7 + (1 - 7) + 8. Solve 3*c = 9, f + 2*c - j = -0*f for f.
3
Let a = -119 - -79. Let r = 40 + a. Solve 7 = -y - r*y + 2*v, 0 = -3*y - v + 14 for y.
3
Suppose 0 = 4*d + 4*r - 100, r + 0*r = 3*d - 71. Let b = -22 + d. Suppose 3*z - 44 = -z. Solve -n = b*c + 3*c + 22, z = -c + 2*n for c.
-5
Suppose 3*m - 67 = -4*o, -m + 37 = -0*m + 5*o. Let x be (2 - -1) + (25 - 20). Solve 0 = 2*u - 3*t - m, 2*u + t + x = -t for u.
1
Let u be 1 - (-18 + 6)/4. Solve 3*o + 0*l + u*l = -14, 4*o = 4*l for o.
-2
Let k(g) = -3*g**2 + 43*g - 15. Let m be k(13). Let v be (m/5 - -1) + 52/(-130). Solve 2*f + 4*x + v = 0, 0 = -0*f - f + 2*x + 8 for f.
2
Suppose -18*u = -u - 119. Solve 2*t - 8 = 3*a, u = -3*t - 4*a + 19 for t.
4
Let d be (-8)/72*1 - 1/(-9). Solve d = -2*g - 2*v + 4 + 6, v = 2 for g.
3
Let l be ((3 + -3)/(-3))/(-3). Let z be 2 - (3 - (5 + l)). Solve 5*s - 9 = 2*d + 2*d, 0 = 4*d - z*s + 8 for d.
-1
Suppose -12*b + 17*b - 150 = 0. Suppose 0 = 7*r - 5 - b. Solve -r*p + 5*c - 5 = 2*c, -c = -3*p + 1 for p.
2
Let s(l) = l**3 - 6*l**2 + 4*l - 24. Let j be s(6). Let o = 7 - 13. Let f be -2 + 1 - (o - -3). Solve m + 4*k = j, f*m + 2*k = -2*k for m.
0
Let g(m) = -m**2 - 1. Let x(l) = -l - 5. Let s(z) = -2*g(z) + x(z). Let q be s(3). Suppose -13*h = -q*h. Solve h = o - 2*f - 6, -o - 3*o + f = -17 for o.
4
Let j be (-3180)/(-1020) - (-4)/(-34). Solve k + 4 = -s, -3*s - 6 = -0*k - j*k for k.
-1
Let q be -1 - -13 - (-570)/(-95). Solve 3*o - q = -2*s + 5, 0 = -5*o + 2*s + 29 for o.
5
Let b = -24 + 27. Suppose 5*p - 4 = b*p. Let r(f) = f + 10. Let o be r(-6). Solve -s = -a - 2*s - p, o*s = -a - 2 for a.
-2
Let m(d) = -16*d - 21 + 35 - 19 + 5*d. Let x be m(-1). Solve -4*y - 32 = 3*s, 2*y - 3*s - s = x for y.
-5
Let h be 15/6*(-24)/(-20). Suppose 5*a - 128 = -3*b, h*b - 3 = -0. Solve -2*w = -3*c + 5, 2*c + w - a = -10 for c.
5
Suppose -27*a = 21*a - 96. Solve u - a = -3*l, -6*u + 3*u = -4*l - 6 for l.
0
Suppose -38*i + 1 = -75. Solve 6*t + 29 = 3*m + i*t, 2*m = -t + 1 for m.
3
Let s = 34 + -38. Let y = 1 - s. Solve 0 = -4*z - y*h - 6, -3*z + 0*z - 5*h - 2 = 0 for z.
-4
Suppose 8*t = 118 - 86. Solve l + 16 = 5*p, -l - p = -t*p + 8 for l.
4
Suppose x - 3*t = 12, 0 = t + 5 - 2. Solve 24 = -x*y + 3*q, 5*y + 3*q + 32 = 6*q for y.
-4
Let a be 228/108 - 1/9. Solve 6*f - 3*q = 3*f + 15, a*f + 3*q = -15 for f.
0
Let f(s) = 2*s - 2. Let i(g) = g**2 + 13*g + 14. Let v be i(-12). Let k be f(v). Suppose 0*p + 40 = k*p. Solve p = 5*w - 2*q, w + 3*q - 4 = -2*q for w.
4
Let n = -37 + 13. Let p = 26 + n. Let m be 2/(-4) - (-14)/4. Solve m*t - 6 = -p*z - z, 4*z + 2*t = 0 for z.
-2
Suppose 22 = 2*v + 2*p, p + 4*p + 105 = 5*v. Solve -z + 2*c = -14, -z = 4*c - 0*c + v for z.
4
Let d = -1971 + 1974. Solve 0 = -2*x - l + 6, 2 = -d*l - 10 for x.
5
Let y = 27 + -27. Solve y = p + 4*o - 18, -2*p + 2*o - 5 + 1 = 0 for p.
2
Suppose -2*p = 3*a - 10 - 0, p = -5*a + 19. Suppose 5*d - 14 = -i, -i - a*d = -d - 10. Solve -6 = -2*z + 5*x, -i*x - 3 - 3 = -z for z.
-2
Let n = 47 - 33. Let v = n + -14. Solve x + m = -3*x + 6, v = -5*x - 3*m + 11 for x.
1
Let z(u) = u**2 + 19*u + 5. Let k be z(0). Solve -5*l + k*w = -10, -22 = 5*l + 4*w - 5 for l.
-1
Let q = -57 - -88. Let s = 34 - q. Suppose 0 = 2*x - 2*z - 26, -x - s*z + 33 = -0*x. Solve -3*y + f - x = 4*f, -4*y = -3*f + 3 for y.
-3
Suppose -2*r - 2 + 0 = 2*m, 13 = 5*r - m. Solve -3*i + r*v - 7 = 0, -3*v = -2 + 5 for i.
-3
Suppose 5*y - 11 = -1. Suppose 18*x - 17*x - 1 = 0. Suppose 0*o - 4*q = -o + 4, 3*o - q = x. Solve -m = y*m, w - 5*m = o for w.
0
Suppose -5*z = -2*v + 193, v = -0*v + 5*z + 104. Suppose 0 = 5*j + 9 - v. Solve 2*g - 4*h + j = 0, -h + 6 = -2*g + 2 for g.
0
Let k(t) = -5*t - 87. Let h be k(-18). Solve 5*p - 17 = 4*p + h*w, 3*w + 23 = 4*p for p.
2
Suppose 2*o + 11 = 7. Suppose 0 = -4*i - 8 + 28. Let q = o + i. Solve 5*n = 3*n + 3*v + 6, 0 = -q*n + 3*v + 9 for n.
3
Suppose 4*m + 3*x - 21 = 0, 9*m + 4*x + 22 = 12*m. Solve -m*o + 4 = 3*j - 2*o, -o = -3*j + 14 for j.
4
Let d be 12 + ((-112)/196 - 34/14). Solve 2*k + f - d = 0, 0*f = 3*k - 5*f - 7 for k.
4
Let b(r) = -r**2 - 23*r + 113. Let h be b(4). Solve -2*i - 5*u = 26, -5*i + h*u + 5 = -0*i for i.
-3
Let z(p) = p**2 + p - 2. Let o be z(2). Suppose -8 = o*w - 0. Let v be -2 + 4 - (w - -4). Solve v = 5*f + 10, 2*j - 2*f = 4*j + 12 for j.
-4
Let o be 1 - -2 - (5 - 4). Let l be (o - 0)*3/(-6) + 28. Solve 0 = -3*d - 5*y + l, -2*y + 6*y - 4 = 2*d for d.
4
Let v = 32 + -23. Suppose -v*a - 10 = -7*a. Let i = 5 + a. Solve -5*x - 5 = i, x - 9 = 4*t - 2*t for t.
-5
Suppose 3*h - 23 - 5 = -5*p, -3*p + h + 14 = 0. Solve 0 = -y + p*s, 5*y - s = -6*s for y.
0
Let k = 14 - 10. Solve -k*w + 9*w + 3*h = 32, -h = -w for w.
4
Suppose -3*w + 8 = -4. Solve -4*h + n - 12 = 0, 3*h + n = w*n for h.
-4
Let m = 1 + -1. Suppose w - 7 + 5 = m. Solve 10 = 5*c - 3*y, w*y = -3*c + 5*c for c.
5
Suppose -2*f = -4 - 2. Suppose 15 = 3*g + 2*w, -3*w = 4*g + w - 24. Solve -f*o - 2*n - 4 = -g*n, -2*n - 1 = -3*o for o.
-3
Let k be 4/(-60)*-6 + 2/(-5). Suppose -3*p = -15, k = 5*s - 2*p + 5*p - 30. Solve s*o + 4*g = -4 - 6, 5*o + 14 = -4*g for o.
-2
Let i be -4 + (1 + 0)*43. Suppose -d = -2*b + i, -5*b = -d - 44 - 58. Solve -2*h + 6 = -4*n, h - 3 + b = -5*n for h.
-3
Let j = 1104 + -1102. Solve 4*b + j*u + 12 = 3*b, 0 = 4*b + 3*u + 23 for b.
-2
Let z(g) be the third derivative of g**5/60 + g**4/12 - 3*g**2. Let h be z(0). Solve -5*n + 3*v + v - 14 = h, 0 = 3*n + 4*v + 2 for n.
-2
Suppose 0 = -20*c + 18*c + 6. Suppose -9 = -x - 0*x - 4*l, -12 = -3*x + c*l. Solve -x*b - 4*n - 26 = 0, -b = 2*b + 2*n + 14 for b.
-2
Suppose -n + 3*l = -0*n, l - 7 = -2*n. Suppose -n*u + 21 = 4*t, t - 23 = -t + u. Let z be 14/6 - (-12)/(-36). Solve z*k = -3*y - 2 + t, 15 = 4*k + 5*y for k.
5
Let u(p) = -1 + 8*p + 0*p**3 - 4*p - 5*p**2 + p + p**3. Let m be u(4). Solve 0 = 5*d - m*n - 30, -3*d + 29 = -3*n - n for d.
3
Let f = -15 - -18. Let h(b) = -2 - 5*b + 24*b**3 + 2*b + 4*b**2 - 8 - 23*b**f. Let o be h(-4). Solve -o*a + 8 = a - 4*w, 0 = -a + w + 3 for a.
4
Suppose -2*q - 4*v - 2 = -20, -3 = -2*q + v. Solve -2*u = -7*u - y + q, -2*u - 4*y = 6 for u.
1
Let f(q) = 4*q + 69. Let k be f(-16). Solve -4*m + 32 = -k*i + 10, 16 = 4*m - 2*i for m.
3
Suppose 18*g = -12*g. Solve -q + g*q + 2*p = -11, -2*p = 10 for q.
1
Let c = -63 + 72. Suppose 11*v = c*v. Solve v = 4*a + 5*m - 3*m, -3*a = -2*m + 14 for a.
-2
Let q(y) = -2*y**2 + 23*y + y**2 - 29 - 42*y. Let m be q(-17). Solve -m*b = -5*t - 15, 3*b - 17 = 4*t - 3 for t.
-5
Let p(b) = 18*b**2 + 3*b. Let x be p(-1). Suppose 6*g - 29 = -4*z + 3*g, 2*z + g - x = 0. Solve -3*m + 3*j - 3 = 0, 2*j = -2*j + z for m.
1
Let s = -522 + 524. Suppose -2*t + 3 = 3*z, 0 = -3*t + 3*z + 10 + 2. Solve 3*a = -s*d - 3*d + 24, 5*a - 6 = t*d for a.
3
Let q be 0 + (0 - -2*1). Suppose 0 = 9*o - 409 + 391. Solve 0 = 2*u - 8, o*u + 9 = 5*r - q*u for r.
5
Suppose 3*t = 3*v + 77 + 13, 2*v = -4. Suppose -7*o + 0*o = -t. Suppose q + 0 = 2*h - 1, -3*q = -3*h - 3. Solve -p + 2 + 2 = -q*k, -o*p + 9 = -5*k for k.
-1
Let y be (-14)/8 - (-3)/(-12). Let k be (3 - (2 - y)) + -4. Let d be (-9)/k*(-60)/(-18). Solve -2*m + a + 9 = 0, 4*m - d*a - 21 = -a for m.
4
Let j = 383 + -381. Solve 3*r + 15 = -3*p, 1 = -3*p + j*p for r.
-4
Let q(r) = | {
"pile_set_name": "DM Mathematics"
} |
, e: 6}?
3/85
Calculate prob of sequence xu when two letters picked without replacement from tuxututttut.
2/55
Calculate prob of sequence am when two letters picked without replacement from {m: 2, s: 6, a: 1, h: 2}.
1/55
Three letters picked without replacement from eeeeweeweeeweeeewe. Give prob of sequence eew.
91/612
What is prob of sequence ic when two letters picked without replacement from dcciggcdvg?
1/30
Four letters picked without replacement from {n: 5, a: 3, c: 2}. What is prob of sequence naaa?
1/168
Two letters picked without replacement from kzkzkkvvzkzzzkzwkii. What is prob of sequence iw?
1/171
Three letters picked without replacement from oyyoyyoyyyo. Give prob of sequence yoy.
28/165
What is prob of sequence uu when two letters picked without replacement from {u: 8, d: 1, g: 8}?
7/34
Four letters picked without replacement from jiigjigiiiij. What is prob of sequence jiji?
7/330
Two letters picked without replacement from ssgsgdgjdggjsggg. What is prob of sequence dd?
1/120
Three letters picked without replacement from eauerzf. What is prob of sequence fre?
1/105
What is prob of sequence rf when two letters picked without replacement from jhbrfbh?
1/42
What is prob of sequence ddb when three letters picked without replacement from {b: 3, d: 2, z: 4}?
1/84
Four letters picked without replacement from {s: 2, d: 1, w: 3, x: 4}. Give prob of sequence xssd.
1/630
Calculate prob of sequence iwlh when four letters picked without replacement from {h: 1, x: 2, i: 1, l: 1, u: 2, w: 2}.
1/1512
Calculate prob of sequence upsa when four letters picked without replacement from {a: 2, s: 1, p: 2, u: 10, i: 1}.
1/1092
What is prob of sequence pdbe when four letters picked without replacement from {s: 1, w: 2, b: 1, e: 1, p: 2, d: 1}?
1/840
What is prob of sequence fg when two letters picked without replacement from {a: 1, r: 2, b: 1, x: 1, g: 2, f: 2}?
1/18
Three letters picked without replacement from xdhxhhxxhdhhdhxdxxxh. What is prob of sequence dxx?
28/855
What is prob of sequence nobz when four letters picked without replacement from {z: 1, o: 7, b: 2, h: 3, x: 3, n: 1}?
1/4080
Three letters picked without replacement from {h: 2, f: 1, j: 2, q: 1}. What is prob of sequence hqj?
1/30
Calculate prob of sequence pp when two letters picked without replacement from gpggggycgpggcggc.
1/120
Three letters picked without replacement from dlndedndddrr. What is prob of sequence nld?
1/110
Calculate prob of sequence ipg when three letters picked without replacement from pphphpppphiipphighpp.
11/2280
Two letters picked without replacement from mmmmmmmmmmmmmmmmmgs. Give prob of sequence sg.
1/342
What is prob of sequence li when two letters picked without replacement from {i: 8, p: 2, l: 4, n: 2}?
2/15
Two letters picked without replacement from uuuuuuucuuuucuc. What is prob of sequence uc?
6/35
Calculate prob of sequence vvs when three letters picked without replacement from ssssixbxsssvvssssxis.
1/285
What is prob of sequence gbz when three letters picked without replacement from {z: 4, b: 5, g: 8}?
2/51
Three letters picked without replacement from {u: 1, n: 3, c: 1, e: 2, i: 4}. What is prob of sequence nie?
4/165
Three letters picked without replacement from ggtttgtttgtgt. Give prob of sequence ggg.
5/143
Four letters picked without replacement from nnvnnzvnvnnnvn. What is prob of sequence vzvn?
9/2002
Calculate prob of sequence jej when three letters picked without replacement from {e: 13, j: 4, o: 3}.
13/570
Three letters picked without replacement from btgftgo. Give prob of sequence ogt.
2/105
Calculate prob of sequence jjww when four letters picked without replacement from wjjwjjjjwj.
1/20
Calculate prob of sequence hhhv when four letters picked without replacement from {v: 3, h: 5}.
3/28
What is prob of sequence ep when two letters picked without replacement from weeppeewppp?
2/11
Calculate prob of sequence teai when four letters picked without replacement from {t: 1, v: 3, a: 2, i: 3, e: 1}.
1/840
Two letters picked without replacement from qqqmqqcqcmqnbqbmmqc. Give prob of sequence cb.
1/57
What is prob of sequence qeww when four letters picked without replacement from {w: 5, o: 2, q: 9, e: 3}?
15/2584
Three letters picked without replacement from {m: 1, v: 2, z: 4, j: 3, y: 1}. Give prob of sequence vvy.
1/495
What is prob of sequence llo when three letters picked without replacement from {w: 2, c: 2, l: 3, o: 4, a: 1}?
1/55
Four letters picked without replacement from pyaiwaaiawaa. What is prob of sequence wpyi?
1/2970
Two letters picked without replacement from {g: 2, a: 3, t: 5, h: 1, e: 6, n: 3}. What is prob of sequence ga?
3/190
Calculate prob of sequence qnz when three letters picked without replacement from nqzqszhqzqhzqsq.
4/455
Three letters picked without replacement from wllwwllllwwlallwll. What is prob of sequence lwa?
11/816
What is prob of sequence iqi when three letters picked without replacement from {i: 4, q: 15}?
10/323
What is prob of sequence vvjv when four letters picked without replacement from jjvvvvvjvvj?
7/66
What is prob of sequence uhu when three letters picked without replacement from hhuuuuhu?
5/28
Four letters picked without replacement from {p: 2, t: 1, u: 1, z: 2, c: 1, m: 1}. What is prob of sequence utmp?
1/840
Calculate prob of sequence hg when two letters picked without replacement from ggqggghgqg.
7/90
Calculate prob of sequence olx when three letters picked without replacement from {x: 4, p: 2, o: 4, l: 2}.
4/165
Two letters picked without replacement from {b: 1, k: 7, z: 10}. Give prob of sequence bk.
7/306
Four letters picked without replacement from {a: 3, k: 3, g: 9, r: 1, m: 1, x: 2}. What is prob of sequence xamr?
1/15504
Two letters picked without replacement from {z: 5, w: 2, k: 1, y: 1}. Give prob of sequence wk.
1/36
Calculate prob of sequence kq when two letters picked without replacement from {v: 1, q: 1, k: 1, g: 1, i: 2, d: 1}.
1/42
Four letters picked without replacement from fgrrcgfh. Give prob of sequence rffh.
1/420
What is prob of sequence hpph when four letters picked without replacement from {p: 2, h: 18}?
1/190
Two letters picked without replacement from ivivv. What is prob of sequence iv?
3/10
What is prob of sequence ll when two letters picked without replacement from qmflofqqollqqqf?
1/35
Three letters picked without replacement from {n: 7, p: 7}. Give prob of sequence pnn.
7/52
Four letters picked without replacement from ttdddkqqaqqhdk. What is prob of sequence qatk?
2/3003
Calculate prob of sequence zwmf when four letters picked without replacement from {m: 1, f: 2, x: 1, h: 1, z: 2, w: 1}.
1/420
Calculate prob of sequence czcz when four letters picked without replacement from {z: 12, c: 3}.
11/455
Four letters picked without replacement from ssqsqssssqss. What is prob of sequence sqqq?
1/220
What is prob of sequence ii when two letters picked without replacement from {i: 2, r: 6, j: 3, w: 8}?
1/171
Four letters picked without replacement from {q: 5, u: 11}. Give prob of sequence quuu.
165/1456
Two letters picked without replacement from {l: 5, i: 7}. Give prob of sequence ll.
5/33
Three letters picked without replacement from ljjoyljjujluyl. What is prob of sequence jyj?
5/273
Two letters picked without replacement from itxt. Give prob of sequence ti.
1/6
Calculate prob of sequence lil when three letters picked without replacement from {j: 1, f: 2, l: 7, i: 2}.
7/110
Calculate prob of sequence jjfj when four letters picked without replacement from jfjfj.
1/10
What is prob of sequence ggww when four letters picked without replacement from {g: 3, w: 2, v: 10}?
1/2730
What is prob of sequence ttt when three letters picked without replacement from {t: 10}?
1
Two letters picked without replacement from hhbhbhqbbrby. What is prob of sequence rh?
1/33
What is prob of sequence ez when two letters picked without replacement from zezzg?
3/20
Four letters picked without replacement from {p: 3, u: 3}. Give prob of sequence uupu.
1/20
Calculate prob of sequence wgz when three letters picked without replacement from gzqwzzzzalz.
1/165
Four letters picked without replacement from {l: 3, g: 4, d: 6}. What is prob of sequence dldd?
3/143
Calculate prob of sequence xx when two letters | {
"pile_set_name": "DM Mathematics"
} |
Calculate the highest common factor of 405 and 324650835.
405
What is the highest common divisor of 2408 and 8283604?
28
What is the greatest common divisor of 70921543 and 517?
517
Calculate the greatest common divisor of 304928425 and 50.
25
Calculate the greatest common divisor of 352640 and 32080.
80
Calculate the highest common factor of 3466296 and 152.
8
What is the highest common factor of 11891292 and 1272?
636
What is the greatest common divisor of 296595364 and 52?
52
Calculate the greatest common factor of 28377 and 249507.
27
Calculate the highest common divisor of 208 and 117859612.
52
What is the greatest common divisor of 1290343 and 134377?
1619
Calculate the highest common factor of 17622594 and 1980.
198
Calculate the highest common divisor of 54 and 535064.
2
Calculate the highest common divisor of 10056525 and 150.
75
Calculate the highest common factor of 63013728 and 6.
6
What is the greatest common factor of 136 and 259483954?
34
What is the greatest common factor of 3742590348 and 252?
252
Calculate the greatest common factor of 702 and 18603.
351
What is the highest common factor of 14315 and 463785?
35
What is the highest common divisor of 60329 and 489647?
1403
What is the highest common factor of 41283645 and 585?
195
What is the greatest common divisor of 16265496 and 299?
13
Calculate the highest common divisor of 5318 and 1592741.
2659
What is the greatest common divisor of 47256 and 3912?
24
Calculate the highest common divisor of 1598067 and 122211.
333
What is the greatest common factor of 5063 and 17110616?
83
Calculate the highest common factor of 6721 and 780767.
13
Calculate the greatest common divisor of 39550 and 53788.
1582
Calculate the highest common divisor of 840 and 12843320.
280
What is the highest common divisor of 853708 and 3648?
76
What is the highest common divisor of 133270938 and 2544?
318
What is the greatest common factor of 108 and 816162372?
108
Calculate the highest common factor of 62264443 and 2036.
509
Calculate the greatest common divisor of 372 and 1251172.
4
Calculate the highest common divisor of 1401484126 and 1442.
1442
What is the greatest common factor of 1375413 and 3?
3
Calculate the greatest common divisor of 2688714 and 7294.
14
What is the greatest common divisor of 169113 and 29379?
21
What is the highest common divisor of 8036 and 403522?
574
What is the highest common factor of 10970370 and 50?
10
Calculate the highest common divisor of 8342 and 1641143.
97
What is the highest common factor of 18929 and 105363?
23
Calculate the highest common divisor of 14979097 and 2065.
413
What is the highest common factor of 195261 and 29157909?
3201
Calculate the greatest common divisor of 25346 and 667.
667
Calculate the greatest common divisor of 41064448 and 44.
4
What is the highest common factor of 35 and 37061185?
35
Calculate the highest common divisor of 9578624 and 7040.
1408
What is the highest common divisor of 350 and 31358250?
350
Calculate the highest common factor of 2569 and 46999855.
2569
What is the greatest common divisor of 61152462 and 3024?
378
Calculate the greatest common divisor of 110676 and 208173.
69
What is the greatest common divisor of 544 and 223036192?
544
Calculate the greatest common factor of 39584835 and 135.
135
What is the highest common divisor of 20 and 1722788?
4
What is the greatest common factor of 1080 and 105210?
90
Calculate the highest common divisor of 510 and 32791147.
17
What is the greatest common divisor of 1371612935 and 44?
11
Calculate the highest common factor of 1825 and 174715.
5
What is the highest common divisor of 21597676 and 8?
4
Calculate the highest common factor of 16 and 62653368.
8
Calculate the greatest common factor of 44267056 and 18.
2
What is the greatest common divisor of 141680 and 50968?
184
Calculate the greatest common factor of 23 and 191304823.
23
Calculate the greatest common factor of 3411 and 9774.
9
Calculate the greatest common factor of 225040 and 108112.
464
What is the highest common factor of 1819264 and 502348?
932
What is the highest common divisor of 7079940 and 27405?
945
What is the greatest common factor of 3888 and 6055317?
243
What is the greatest common factor of 2541 and 679953813?
2541
Calculate the highest common factor of 7677430 and 131164.
542
Calculate the greatest common factor of 4587009 and 11865.
2373
What is the highest common divisor of 109 and 20061014?
109
What is the highest common divisor of 4739330 and 6660?
370
What is the greatest common factor of 47525625 and 639?
639
What is the highest common factor of 3578330 and 679000?
6790
Calculate the highest common factor of 73428 and 1159188.
348
What is the highest common factor of 27731 and 33242?
11
What is the greatest common factor of 4779 and 44656569?
1593
Calculate the greatest common divisor of 5569431 and 343.
7
What is the highest common divisor of 99373644 and 9?
9
Calculate the highest common divisor of 138833527 and 203.
203
Calculate the highest common divisor of 7513 and 4692893.
683
What is the greatest common factor of 79875 and 2875?
125
What is the highest common factor of 343168 and 112?
112
Calculate the highest common factor of 5385 and 134761420.
1795
Calculate the greatest common divisor of 233835 and 18060.
105
Calculate the greatest common divisor of 16 and 36285968.
16
Calculate the highest common divisor of 32536 and 19499256.
392
Calculate the greatest common divisor of 46748760 and 5550.
1110
Calculate the greatest common divisor of 711341300 and 14325.
4775
What is the greatest common factor of 227734 and 59527?
247
Calculate the highest common factor of 136512 and 6144.
192
Calculate the highest common factor of 11554573 and 2274.
379
What is the greatest common divisor of 142125700 and 5425?
775
What is the highest common divisor of 123556448 and 512?
32
Calculate the highest common divisor of 1079 and 259458.
83
What is the highest common divisor of 2795095 and 132672?
691
What is the greatest common divisor of 1360 and 24170192?
272
Calculate the greatest common factor of 11 and 8772109.
1
What is the greatest common factor of 7241080 and 135520?
3080
Calculate the highest common factor of 4385960 and 6175.
95
Calculate the greatest common factor of 235235 and 835835.
5005
What is the highest common divisor of 17044472 and 31280?
3128
What is the greatest common divisor of 152 and 1774904?
152
What is the greatest common divisor of 90857 and 30508?
29
Calculate the highest common divisor of 45921408 and 208.
208
Calculate the highest common divisor of 2748825 and 684.
171
Calculate the highest common divisor of 9389 and 1524093.
41
Calculate the highest common factor of 4477 and 668701.
407
Calculate the highest common factor of 277 and 116366869.
277
What is the greatest common factor of 9814369 and 13295?
2659
Calculate the highest common factor of 260283 and 122271.
159
Calculate the greatest common factor of 267267 and 47502.
273
What is the highest common divisor of 9450022 and 296?
74
Calculate the highest common divisor of 169454873 and 602.
301
What is the highest common factor of 183 and 1007817?
3
Calculate the greatest common divisor of 562810 and 2560.
10
Calculate the greatest common divisor of 87501874 and 5452.
2726
Calculate the greatest common factor of 1828102 and 62350.
2494
Calculate the greatest common divisor of 37 and 15913.
1
Calculate the greatest common divisor of 1888755 and 110.
55
What is the highest common divisor of 2229414 and 379236?
1122
Calculate the highest common divisor of 309764 and 399464.
1196
Calculate the greatest common factor of 37545522 and 21.
21
What is the greatest common factor of 63140 and 4420?
20
Calculate the greatest common divisor of 24 and 29752952.
8
Calculate the greatest common divisor of 42665625 and 180.
45
What is the highest common divisor of 356 and 19345574?
178
Calculate the highest common divisor of 559 and 8589204.
13
Calculate the greatest common factor of 397 and 5992.
1
What is the greatest common factor of 39 and 130883038?
13
What is the highest common divisor of 24 and 1155497844?
12
Calculate the highest common divisor of 254640 and 13040.
80
Calculate the greatest common divisor of 105502 and 2079474 | {
"pile_set_name": "DM Mathematics"
} |
/12
b
Which is the third biggest value? (a) 156 (b) 4/3 (c) 6 (d) 1
b
What is the biggest value in 4, -1.2, -162?
4
Which is the third smallest value? (a) -4 (b) -2 (c) -0.28 (d) 2 (e) -3
b
Which is the biggest value? (a) 4 (b) 18 (c) 10/9 (d) -39/64
b
Which is the fifth smallest value? (a) -28 (b) -11 (c) 1/6 (d) -2 (e) -35 (f) 0
f
What is the third biggest value in -4/7, -1, -0.3, -1081?
-1
Which is the smallest value? (a) 38 (b) -6/3169 (c) 1/2 (d) -4
d
What is the biggest value in -2/7, 5, 0.033, 4, 2?
5
Which is the second biggest value? (a) 3 (b) -1.4 (c) 3/7
c
Which is the third smallest value? (a) 6/463 (b) 4 (c) 2/857
b
What is the fourth smallest value in -2/7, 2/7, -4, 168?
168
Which is the second biggest value? (a) 3.2 (b) -3.9 (c) 4
a
Which is the second biggest value? (a) -25 (b) -21 (c) 2
b
Which is the second biggest value? (a) 2/5 (b) 0.5 (c) -5 (d) 13 (e) -180/13
b
What is the biggest value in 16, 6, -501?
16
Which is the smallest value? (a) -0.98 (b) 172 (c) -0.4 (d) -4
d
What is the fifth biggest value in -24/13, -2/11, 863, 0.4, 0.01?
-24/13
Which is the second smallest value? (a) 3/20 (b) 0.4 (c) 163
b
Which is the smallest value? (a) 1147 (b) 11 (c) -7
c
What is the biggest value in -1/13, -8/3, 108?
108
What is the third biggest value in -2/3, -2/29, 12/5, -2/5, 14?
-2/29
What is the second smallest value in -400, 0.5, -2/9, -32, 1/3?
-32
Which is the second biggest value? (a) 0.79 (b) 1/5 (c) 0.6 (d) 0 (e) 4
a
Which is the third biggest value? (a) -4/3 (b) -0.16 (c) -4/57 (d) 4/9 (e) -2/13
e
Which is the second smallest value? (a) 2/11 (b) -1/7 (c) -45
b
What is the third smallest value in 282, 0.1, 4/13, -2/15?
4/13
Which is the third smallest value? (a) 2/3 (b) -2/9 (c) 0 (d) 96 (e) 3/8 (f) -2
c
What is the third biggest value in 0.14, -504, 1?
-504
What is the smallest value in -46, 0.88, -7/3?
-46
Which is the second biggest value? (a) -1 (b) -84451 (c) -2 (d) 3 (e) -0.4
e
What is the fifth biggest value in -9/14, -0.9, 2, 1, -1.5?
-1.5
What is the third smallest value in 26, 2/11, -52, -2/9?
2/11
What is the second biggest value in 0.08, -0.1, 1/6, 0.5, 0.12, -15?
1/6
What is the third smallest value in -0.3, -6, -10/101?
-10/101
What is the fifth smallest value in -14, 2/45, 3, 3/2, -3/5?
3
What is the fifth biggest value in -134, -0.3, -0.4, -1/4, 0.5, 0?
-0.4
Which is the second smallest value? (a) 9 (b) -4 (c) -47
b
What is the biggest value in -4, 0.2, -1, 5, 62?
62
What is the fourth smallest value in -5/4, -2824, -0.06, -3, 4?
-0.06
Which is the second smallest value? (a) 1 (b) -2/3811 (c) -48
b
What is the smallest value in -2/7, -12, 355, 12, 0.3?
-12
Which is the smallest value? (a) -4 (b) -5/4 (c) -2/21 (d) 0.9 (e) 226/3
a
Which is the fifth biggest value? (a) 1 (b) -106 (c) 0.39 (d) -0.2 (e) -1
b
What is the third biggest value in -1793, -1, 5?
-1793
What is the second biggest value in -1, 2, 28, -20.1, 0.02?
2
What is the biggest value in 0.0561, -4.1, 1?
1
What is the fourth biggest value in 0.2, 1.7, -3.4, -0.3?
-3.4
What is the fourth biggest value in 281, -4, -0.52, -1/8?
-4
What is the smallest value in 2, -2/13, -141890?
-141890
Which is the second smallest value? (a) -0.05 (b) 5 (c) 4.6 (d) 1 (e) 0.12
e
What is the second biggest value in 2/1231, 1, -0.2, -1/4, 0.8?
0.8
Which is the fifth smallest value? (a) 14 (b) 2 (c) 161 (d) -0.3 (e) -2/5
c
Which is the smallest value? (a) 1 (b) 1/12 (c) -1527
c
What is the biggest value in 1/7, 145, 288?
288
What is the fifth smallest value in 4, 0.4, 726, 10, 1/2?
726
What is the third biggest value in -0.3, 0.2, 3324, -1?
-0.3
What is the second biggest value in -14, 4/5, 4, 0.01, 0.38?
4/5
What is the third biggest value in -6, 112, -0.3, -5, -23?
-5
Which is the second smallest value? (a) -9/2 (b) 2/9 (c) -3 (d) 0.02 (e) 80
c
What is the sixth biggest value in -3, 5, -4, -0.05, -0.13, 18?
-4
What is the biggest value in -0.1, 6, -1/51, 0.1, 7?
7
Which is the second biggest value? (a) -1717 (b) 25.4 (c) -2
c
Which is the second biggest value? (a) -4/7 (b) -1501 (c) 1/7
a
What is the second biggest value in 356/3, 8, 5?
8
Which is the biggest value? (a) -13 (b) 0.05 (c) -5 (d) -5/4 (e) 2
e
Which is the third biggest value? (a) 0.07 (b) -1/5 (c) 0 (d) -3 (e) 238/11
c
What is the fifth smallest value in 1/4, 2/7, 2/5, 5, -1/748, 4?
4
What is the fifth biggest value in 54, -2/5, -9.1, -4, 0?
-9.1
What is the fourth biggest value in -1/2, 2/15, 37, 3, 16?
2/15
Which is the fourth smallest value? (a) 1 (b) 5/2 (c) 6060 (d) -0.2 (e) -21
b
What is the fourth biggest value in 89, 3/8, 4/7, 0.2, 0?
0.2
What is the biggest value in 1.6, -1, -7, -83/2, 0.1, -0.2?
1.6
Which is the third smallest value? (a) 22 (b) 50 (c) 4 (d) -0.11 (e) -2
c
What is the second smallest value in -0.52, 0, -0.1, -2, -1/12?
-0.52
Which is the second smallest value? (a) 0.4 (b) -1/7 (c) 40.45 (d) -1 (e) 2/7
b
What is the smallest value in 0, 2/11, 0.2, -1/8, -1, -67?
-67
Which is the fifth smallest value? (a) -5 (b) 60 (c) -125.2 (d) 3/2 (e) 4 (f) 6
f
Which is the smallest value? (a) -1 (b) 0.07 (c) -106.8 (d) -70
c
What is the second biggest value in 1/2, -0.2, 0.0016?
0.0016
Which is the fourth biggest value? (a) -1/6 (b) -227/5 (c) 1/2 (d) 1/4
b
What is the third biggest value in 0.5, 10/47, -0.1234?
-0.1234
Which is the second biggest value? (a) 561 (b) 1/3 (c) -1/7
b
What is the biggest value in -0.15, -1/3, -17.7?
-0.15
Which is the second smallest value? (a) 1/12 (b) 1/18 (c) 6 (d) 178
a
Which is the fifth smallest value? (a) 4 (b) -0.0191 (c) 3 (d) 261 (e) 0.4 (f) 0.2
a
What is the biggest value in -1/2, 47718, 2/17, 5?
47718
What is the third smallest value in 15, 0.02, 1.498?
15
What is the smallest value in 2, -471/26, 0.08, 3?
-471/26
Which is the third biggest value? (a) -3650 (b) 0.4 (c) -1
a
Which is the sixth biggest value? (a) 0 (b) -0.01 (c) -9 (d) 33 (e) -182 (f) 1/5
e
What is the second smallest value in 0.1, 2/2805, 1?
0.1
Which is the smallest value? (a) 0.1 (b) -1821 (c) 1/4
b
What is the third biggest value in 0.1, 11, -12, 5?
0.1
Which is the second biggest value? (a) 2/7 (b) 51.31 (c) -5
a
Which is the fifth biggest value? (a) -2/17 (b) -4 (c) 1477 (d) 2/3 (e) -0.5 (f) -1
f
Which is the third smallest value? (a) -0.3 (b) -0.7 (c) -3 (d) 1 (e) 11
a
What is the third smallest value in 0.175, 2/9, 69?
69
Which is the biggest value? (a) 2 (b) 7/2 (c) 106 (d) 0.5
c
Which is the smallest value? (a) -1382 (b) -2 (c) -4/3 (d) -4 (e) 2/7 (f) 3
a
Which is the biggest value? (a) 5 (b) 0.5 (c) 0.0624 (d) -0.09 (e) 0.2
a
What is the biggest value in -1, 0.2, -11881?
0.2
Which is the second smallest value? (a) 3 (b) -0.24 (c) -26 (d) 0
b
Which is the fifth biggest value? (a) 28 (b) -3/7 (c) 48 (d) -7 (e) -0.3
d
What is the fifth smallest value in 18, -0.7, -5, -1/4, 10, 2/9?
10
Which is the second smallest value? (a) 0.3 (b) 1175.9 (c) -9 (d) -0.1
d
What is the second biggest value in 3/101, -2/189, 2, -1?
3/101
What is the second smallest value in -4861, 1, -191?
-191
What is the third smallest value in -3/14, -0.1, -4, 13847?
-0.1
What is the second biggest value in -0.1, 0.2, -3, -1/51464?
-1/51464
What is the smallest value in 0, -23/6, 3, -7?
-7
Which is the third biggest value? (a) -41 (b) 76 (c) -5
a
Which is the sixth smallest value? (a) -1/2 (b) 0.2 (c) 0.4 (d) 11 (e) 12 (f) -5/2
e
What is the smallest value in -391, -0.31, 3, -0.4?
-391
Which is the fourth smallest value? (a) -2 (b) -3/5 (c) -51/14 (d) -1
b
Which is the second smallest value? (a) -2 (b) -0.4 (c) -2.769 (d) 0.1 (e) 3
a
What is the second smallest value in -48057, 14, 3?
3
Which is the fourth smallest value? (a) 0.2 (b) 10800 (c) 0.01 (d) -2
b
What is the third smallest value in 0.44, -18, 5?
5
What is the third biggest value in 3/8, -51, 11, 222?
3/8
What is the smallest value in -5, -1, 1674, -3/4?
-5
What is the second biggest value in 1186, 8, -21, 0.3?
8
Which is the smallest value? (a) -4 (b) -1012/5 (c) 81 (d) 1
b
Which is the fourth biggest value? | {
"pile_set_name": "DM Mathematics"
} |
229, 1 in ascending order.
-229, -1.4, 1
Sort -4, -37, 2, 1, -2 in increasing order.
-37, -4, -2, 1, 2
Put 4, -54, 83, 1 in decreasing order.
83, 4, 1, -54
Sort -5, -0.1635, -1.9.
-5, -1.9, -0.1635
Sort -933, 3/8, 6, -27/5 in ascending order.
-933, -27/5, 3/8, 6
Put 2/9, 2/85281, 0.3 in decreasing order.
0.3, 2/9, 2/85281
Sort 2, 0, 33, -8.
-8, 0, 2, 33
Put -1/3, -1/40, -2/7, -5, 3/8 in descending order.
3/8, -1/40, -2/7, -1/3, -5
Put -3/10, 0.62, 0.5, 2/9, 0.8 in increasing order.
-3/10, 2/9, 0.5, 0.62, 0.8
Sort -29, -4, 3, -3, 906, -1 in decreasing order.
906, 3, -1, -3, -4, -29
Put -1, 255, 4, -3, 1 in decreasing order.
255, 4, 1, -1, -3
Put -4158, -0.1, -1/8 in increasing order.
-4158, -1/8, -0.1
Sort 156, -49, 51 in descending order.
156, 51, -49
Put 3, 1, 2/15, 48358 in ascending order.
2/15, 1, 3, 48358
Sort 4442, 5, 1, -3 in descending order.
4442, 5, 1, -3
Sort 0, 1, 50/13, -0.2, -0.92 in decreasing order.
50/13, 1, 0, -0.2, -0.92
Sort 3, 12/7, 0.5, -73.32 in ascending order.
-73.32, 0.5, 12/7, 3
Sort 1.28, 1, -4, -0.07, -1/2 in descending order.
1.28, 1, -0.07, -1/2, -4
Sort -4, -2, 16, 28, 14 in ascending order.
-4, -2, 14, 16, 28
Sort -375, 5, 45, -4, 4, -2.
-375, -4, -2, 4, 5, 45
Sort 2, -4, 2493/23 in ascending order.
-4, 2, 2493/23
Sort 4, -834, -5, -26, 5, -1.
-834, -26, -5, -1, 4, 5
Put -10, 0, -107 in increasing order.
-107, -10, 0
Put 11, -4, -298, -6 in descending order.
11, -4, -6, -298
Put -5, -19, 5, 27, 4 in descending order.
27, 5, 4, -5, -19
Put 3, 26, 2, -106, 5 in ascending order.
-106, 2, 3, 5, 26
Sort 2, -204, -4, -6 in descending order.
2, -4, -6, -204
Sort -3, 19, -4, 1, -12874.
-12874, -4, -3, 1, 19
Sort 38734, -2, 0.42 in ascending order.
-2, 0.42, 38734
Put -5, 11, -9 in increasing order.
-9, -5, 11
Put 6.1, -0.162, -110 in decreasing order.
6.1, -0.162, -110
Put -3, 5, -2, 916 in ascending order.
-3, -2, 5, 916
Put 30, -3, 7, 10 in descending order.
30, 10, 7, -3
Sort -3/881, -1, 1/7, 2/5 in decreasing order.
2/5, 1/7, -3/881, -1
Put -143, -4, 1/70, -1/3, 4/5 in descending order.
4/5, 1/70, -1/3, -4, -143
Sort -3, 60, -314 in increasing order.
-314, -3, 60
Sort 971, -495, -3 in descending order.
971, -3, -495
Sort 183, 0, 5, 9, -3 in ascending order.
-3, 0, 5, 9, 183
Sort -181954, -1, -3 in decreasing order.
-1, -3, -181954
Sort -1, 6, 473, 0.1, 4.
-1, 0.1, 4, 6, 473
Sort 0, 740, -7, -6, 5.
-7, -6, 0, 5, 740
Sort 0.2, 37186, -4 in increasing order.
-4, 0.2, 37186
Sort 1, -2, 16, 0, 4, 15 in increasing order.
-2, 0, 1, 4, 15, 16
Sort 65, 3.358, -0.2 in descending order.
65, 3.358, -0.2
Put 3, -3, -2, 1, -5, 3285 in decreasing order.
3285, 3, 1, -2, -3, -5
Sort 62, 0, -38, -16 in increasing order.
-38, -16, 0, 62
Sort -9, -1.43, 1/9.
-9, -1.43, 1/9
Sort -3, 43, 0.0763 in decreasing order.
43, 0.0763, -3
Sort -1.6, 0.31, -4/5 in descending order.
0.31, -4/5, -1.6
Sort -65, -1/2, 0.2, 2/27, 4 in descending order.
4, 0.2, 2/27, -1/2, -65
Sort -44/3, -3/5, -11, 0, 3 in descending order.
3, 0, -3/5, -11, -44/3
Sort 0.1, -1/9, -0.5, 1.085 in decreasing order.
1.085, 0.1, -1/9, -0.5
Sort 291, -0.3, 27, -0.2.
-0.3, -0.2, 27, 291
Sort 10, 173, -133.
-133, 10, 173
Put -1, -4, 3, -13, -564, 1 in descending order.
3, 1, -1, -4, -13, -564
Put -3, 59, 2, -31, 50, -5 in decreasing order.
59, 50, 2, -3, -5, -31
Sort 1, 0, 102924.
0, 1, 102924
Sort 3, 1, 6703 in increasing order.
1, 3, 6703
Sort -2, 4, -6, -598, 5, 3 in decreasing order.
5, 4, 3, -2, -6, -598
Put 0, -1, 6128, -2 in ascending order.
-2, -1, 0, 6128
Put 916, 3, 6 in descending order.
916, 6, 3
Sort 0, -2, -1, -17, 35.
-17, -2, -1, 0, 35
Sort 1726, 4, -3, -13, 3, -5 in ascending order.
-13, -5, -3, 3, 4, 1726
Sort 37/9, -0.41, 5, 1/6 in descending order.
5, 37/9, 1/6, -0.41
Sort 528, -1/2, -2/3, 3/4, 14, 8 in descending order.
528, 14, 8, 3/4, -1/2, -2/3
Sort 5, 0.06, 1, 0.4, 598 in decreasing order.
598, 5, 1, 0.4, 0.06
Sort -2, -2/3, 1.98, -5 in increasing order.
-5, -2, -2/3, 1.98
Sort -4, -20, 3, -2, 0.1, -512 in decreasing order.
3, 0.1, -2, -4, -20, -512
Sort 3, 343245, -3 in increasing order.
-3, 3, 343245
Sort 1, 8, 178147.
1, 8, 178147
Sort 14, -2, 779 in decreasing order.
779, 14, -2
Put -21, -25, 4, -4, 3, -2 in decreasing order.
4, 3, -2, -4, -21, -25
Sort 1733, 215, 4 in decreasing order.
1733, 215, 4
Sort 7, 5/9, 0.0086, 1 in ascending order.
0.0086, 5/9, 1, 7
Sort -5, -4, -12, 50.
-12, -5, -4, 50
Put 0, 125, 1, 8 in decreasing order.
125, 8, 1, 0
Sort -2, -10, -4, 18, -1, 3 in decreasing order.
18, 3, -1, -2, -4, -10
Put 51, -4260, -4 in decreasing order.
51, -4, -4260
Sort -5, 10, 2, -1, -2 in descending order.
10, 2, -1, -2, -5
Put -726, 4, 391 in decreasing order.
391, 4, -726
Sort -102, -11, 4, -5, 3, 1 in descending order.
4, 3, 1, -5, -11, -102
Put 0.7, 2318, -19 in descending order.
2318, 0.7, -19
Sort 5, 2/7, -2, -4/19, 4/7, -2/43 in descending order.
5, 4/7, 2/7, -2/43, -4/19, -2
Sort 2, 37, 17, 5 in decreasing order.
37, 17, 5, 2
Sort 2, -10, -9/4, -5, -6, 3.
-10, -6, -5, -9/4, 2, 3
Sort 8, 38608, -5, 2 in increasing order.
-5, 2, 8, 38608
Put -2, 3, -3, 1, -5, -48 in descending order.
3, 1, -2, -3, -5, -48
Put -18, -14, 4, -2, 1, -4 in ascending order.
-18, -14, -4, -2, 1, 4
Put -2, -73462, -1 in decreasing order.
-1, -2, -73462
Sort -67054, 1, -3 in ascending order.
-67054, -3, 1
Put -8, -0.14774, -0.3 in increasing order.
-8, -0.3, -0.14774
Sort 2.57941, 5, -0.3 in ascending order.
-0.3, 2.57941, 5
Sort -12087, -2, 2.
-12087, -2, 2
Put -17, 4, 238 in ascending order.
-17, 4, 238
Put 0, 27, -4, 4, -169 in descending order.
27, 4, 0, -4, -169
Sort 14, 1, 3, 12, -2, -3 in decreasing order.
14, 12, 3, 1, -2, -3
Put 834, -11, 5 in descending order.
834, 5, -11
Sort 132, 0, -2/5, 2, -3.
-3, -2/5, 0, 2, 132
Put -21, 32, -4, -5, 5, -2 in descending order.
32, 5, -2, -4, -5, -21
Sort -5, -3, 97341, -2.
-5, -3, -2, 97341
Sort -340, -201, -15, 1 in ascending order.
-340, -201, -15, 1
Put -16, -4, -106, -22 in increasing order.
-106, -22, -16, -4
Sort 20, 59783, 2/9 in increasing order.
2/9, 20, 59783
Put 5, 12/5, -0.8, -2/3, -1/252, 2 in descending order.
5, 12/5, 2, -1/252, -2/3, -0.8
Sort 22, 4, -0.3, -3, -2/19, 0.05.
-3, -0.3, -2/19, 0.05, 4, 22
Put -3, -1, -1736, 0 in increasing order.
-1736, -3, -1, 0
Put 0, 3, 61, -10 in increasing order.
-10, 0, 3, 61
Sort 19, 6, 0, 17, -15, 3 in ascending order.
-15, 0, 3, 6, 17, 19
Sort -2/9, 5, -3, -2/13, -6099 in ascending order.
-6099, -3, -2/9, -2/13, 5
Sort -2/25, 4/5, 4, -7/5, -14 in ascending order.
-14, -7/5, -2/25, 4/5, 4
Sort 1, -1, -49, -4, 4, 5.
-49, -4, -1, 1, 4, 5
Put 3/2, -0.0158, -237 in decreasing order.
3/2, -0.0158, -237
Sort 0, -148, 4.
-148, 0, 4
Sort -25/96, 2/11, -0.2, 0.01.
-25/96, -0.2, 0.01, 2/11
Sort 3, -1365, 4, 10.
-1365, 3, 4, 10
Put 3, 2058, 5, 6 in descending order.
2058, 6, 5, 3
Sort 1747, -1/11, -16.
-16, -1/11, 1747
Sort 19, -1, -9, -5, 5, 0 in increasing order.
-9, -5, -1, 0, 5, 19
Sort 1, 832, -13, 5.
-13, 1, 5, 832
Put 4570, 2, -5 in increasing order.
-5, 2, 4570
Put -0.5, -65, 0.1, -77, 3, -2/3 in decreasing order.
3, 0.1, -0.5, -2/3, -65, -77
Put 12, -73, -15 in ascending order.
-73, -15, 12
Put -32, -4, -430 in increasing order.
-430, -32, -4
Put -1/20, -2, -6, 4373 in decreasing order.
4373, -1/20, -2, -6
Put -0.8, 12.49, 1, 0.4 in descending order.
12.49, 1, 0.4, -0.8
Put 2, -2310, -0.37 in ascending order.
-2310, -0.37, 2
Sort 3, -97, -16, 14 in decreasing order.
14, 3, -16, -97
Sort 2, 182, 1/9, -21 in descending order.
182, 2, 1/9, -21
Put 36/1145, -1, -0.3 in descending order.
36/1145, -0.3, -1
Sort -8, -6, 3, 4, -12 in decreasing order.
4, 3, -6, -8, -12
Put -5, -0.03, -35/39, 3 in descending order.
3, -0.03, -35/39, -5
Sort 5/11, 2, -1/5, -0.0868 in increasing order.
-1/5, -0.0868, 5/11, 2
Sort -115, 1, 5, -81.
-115, -81, 1, 5
Sort 0.2, 4, -0.686045, -0.5 in descending order.
4, 0.2, -0.5, -0.686045
Sort 1713, -0.18, 3/5 in increasing order.
-0.18, 3/5, 1713
Sort 5, 0, 1, 464, -2 in descending order.
464, 5, 1, 0, -2
Put -90, 0.5, -0.34 in descending order.
0.5, -0.34, -90
Sort -433, -6, -3.
-433, -6, -3
Sort 4, 2, -1, -18, 13, 5.
-18, -1, 2, 4, 5, 13
Put 0, -2, 1, 31, 0.7 in descending order.
31, 1, 0.7, 0, -2
Sort 5, -1018, -1/2, 11/4.
-1018, -1/2, | {
"pile_set_name": "DM Mathematics"
} |
to the nearest one thousand?
5000
Round 0.0000000328179 to seven decimal places.
0
What is -0.00001134254 rounded to six decimal places?
-0.000011
What is -0.001820381 rounded to 3 decimal places?
-0.002
Round 0.00002392613 to five dps.
0.00002
What is -36.56304 rounded to the nearest integer?
-37
Round 1247.44 to the nearest one hundred.
1200
What is -0.000001979 rounded to seven decimal places?
-0.000002
What is 7.65275 rounded to zero dps?
8
What is 0.0001736503 rounded to seven dps?
0.0001737
Round 17183000 to the nearest one hundred thousand.
17200000
What is 103892350 rounded to the nearest 10000?
103890000
What is -0.00000024455445 rounded to 7 dps?
-0.0000002
Round -15997000 to the nearest 1000000.
-16000000
What is -64.20636 rounded to 0 decimal places?
-64
Round -608.13804 to 1 dp.
-608.1
Round -6524.935 to the nearest one hundred.
-6500
Round -0.00958063 to four dps.
-0.0096
What is 352.521 rounded to 0 dps?
353
What is -708457 rounded to the nearest 1000?
-708000
What is -157927400 rounded to the nearest 1000000?
-158000000
What is -2.132665 rounded to 2 dps?
-2.13
What is -100573.83 rounded to the nearest one hundred?
-100600
Round 85.1249 to the nearest integer.
85
Round 491596000 to the nearest 1000000.
492000000
What is 48.1862 rounded to 1 decimal place?
48.2
Round -287785000 to the nearest one million.
-288000000
What is 11.047676 rounded to 0 decimal places?
11
What is 1773933.6 rounded to the nearest one thousand?
1774000
Round 0.0069278 to two decimal places.
0.01
What is 831.741 rounded to the nearest 10?
830
Round -12611717 to the nearest ten thousand.
-12610000
What is -0.0002140851 rounded to six decimal places?
-0.000214
What is -1008.7453 rounded to the nearest integer?
-1009
Round -13762.653 to the nearest ten.
-13760
What is -0.009558649 rounded to 3 decimal places?
-0.01
What is 658064720 rounded to the nearest 100000?
658100000
Round -0.000354802 to six dps.
-0.000355
Round -0.00917182 to five decimal places.
-0.00917
What is -1.8132 rounded to 2 dps?
-1.81
What is -63872.17 rounded to the nearest 10000?
-60000
What is -2123.292 rounded to the nearest 10?
-2120
What is 1464.205 rounded to the nearest integer?
1464
What is 4920630 rounded to the nearest 10000?
4920000
Round -801.717 to the nearest one hundred.
-800
Round -5.734594 to two dps.
-5.73
What is -0.02301454 rounded to four decimal places?
-0.023
Round 0.00012253184 to seven dps.
0.0001225
What is -2479016.3 rounded to the nearest 10000?
-2480000
What is 2.8485 rounded to the nearest integer?
3
What is 181.824 rounded to the nearest 10?
180
Round -1241710 to the nearest 10000.
-1240000
Round -1459.106 to the nearest 10.
-1460
Round -223.09359 to the nearest ten.
-220
What is 850966 rounded to the nearest one hundred thousand?
900000
What is 1117823000 rounded to the nearest 1000000?
1118000000
What is -167.52669 rounded to 0 dps?
-168
What is 456.4963 rounded to the nearest one hundred?
500
Round -37.56367 to the nearest integer.
-38
Round 3626567000 to the nearest 1000000.
3627000000
What is 136.0687 rounded to the nearest one hundred?
100
Round -0.000429552 to 4 dps.
-0.0004
Round 13333.86 to the nearest one thousand.
13000
Round 0.000000970012 to seven dps.
0.000001
What is 0.283071 rounded to 3 decimal places?
0.283
Round -0.291558 to 3 decimal places.
-0.292
Round -0.00007774097 to 5 dps.
-0.00008
Round 100559070 to the nearest one million.
101000000
What is -3449.377 rounded to the nearest one hundred?
-3400
Round 0.0004284853 to seven dps.
0.0004285
What is -0.00901772 rounded to four dps?
-0.009
Round 0.45058136 to 1 dp.
0.5
What is 8156.611 rounded to the nearest one thousand?
8000
What is 461507000 rounded to the nearest 1000000?
462000000
Round 0.0096617801 to 3 decimal places.
0.01
What is 10425.19 rounded to the nearest ten?
10430
What is -0.02788319 rounded to five decimal places?
-0.02788
What is -0.9632 rounded to the nearest integer?
-1
What is -3193008 rounded to the nearest 100000?
-3200000
Round 0.00025743157 to 5 dps.
0.00026
What is 18.425018 rounded to zero dps?
18
What is -53155.6 rounded to the nearest 100?
-53200
Round -73911.8 to the nearest 10000.
-70000
Round 0.0200149 to four dps.
0.02
Round 388933.9 to the nearest 10000.
390000
What is 5.909708 rounded to 0 decimal places?
6
Round -326996 to the nearest 1000.
-327000
Round 5951594000 to the nearest one million.
5952000000
What is -0.0673872 rounded to 2 decimal places?
-0.07
What is 2460.427 rounded to the nearest 10?
2460
What is 0.0024734584 rounded to five dps?
0.00247
What is -1.81911 rounded to three decimal places?
-1.819
What is -0.0761227 rounded to 3 dps?
-0.076
What is 0.1632678 rounded to two dps?
0.16
Round -12435.9 to the nearest 100.
-12400
Round 2.165601 to 3 dps.
2.166
Round -0.001499924 to six decimal places.
-0.0015
Round 2572310 to the nearest ten thousand.
2570000
What is 0.00016481116 rounded to six dps?
0.000165
What is 1616340 rounded to the nearest ten thousand?
1620000
What is -0.00022693763 rounded to 6 dps?
-0.000227
What is 0.0406976 rounded to 4 decimal places?
0.0407
What is -294.9539 rounded to the nearest integer?
-295
What is 0.062899 rounded to three dps?
0.063
What is -444.464 rounded to zero dps?
-444
Round 0.00005248781 to six dps.
0.000052
What is 87203050 rounded to the nearest one hundred thousand?
87200000
What is -0.048082 rounded to two dps?
-0.05
What is 0.1094753 rounded to 5 decimal places?
0.10948
Round 220.1569 to the nearest 10.
220
Round -3747391 to the nearest 100000.
-3700000
Round -0.000252623 to five dps.
-0.00025
Round 672.807 to the nearest 10.
670
What is -42024300 rounded to the nearest 1000000?
-42000000
Round -8.18368 to two dps.
-8.18
What is -360834830 rounded to the nearest one hundred thousand?
-360800000
What is 0.0002398507 rounded to 6 dps?
0.00024
Round -289001000 to the nearest one million.
-289000000
What is -0.00000074909 rounded to seven decimal places?
-0.0000007
What is -0.82510951 rounded to 2 dps?
-0.83
What is 14.52008 rounded to the nearest one hundred?
0
What is 0.00045186087 rounded to 4 decimal places?
0.0005
Round 61644034 to the nearest 10000.
61640000
What is -0.422963 rounded to three decimal places?
-0.423
What is -36177.51 rounded to the nearest 10?
-36180
Round 0.000011243486 to six dps.
0.000011
Round -2942020400 to the nearest 100000.
-2942000000
What is -41.4793 rounded to the nearest 10?
-40
Round -8.61677 to 2 decimal places.
-8.62
Round -0.001964098 to 6 decimal places.
-0.001964
What is -8.227 rounded to the nearest 10?
-10
What is -12.058909 rounded to 2 decimal places?
-12.06
Round 27034.3 to the nearest one thousand.
27000
Round 0.0054214 to five dps.
0.00542
What is -11622.56 rounded to the nearest one hundred?
-11600
Round -0.00099463 to four decimal places.
-0.001
Round -66659.13 to the nearest one thousand.
-67000
Round -0.00448814 to three dps.
-0.004
Round -13305.74 to the nearest 10.
-13310
Round -48018.03 to the nearest one hundred.
-48000
What is -505.39 rounded to the nearest one hundred?
-500
Round 128681 to the nearest 1000.
129000
What is -4555250 rounded to the nearest 1000000?
-5000000
What is 6340080 rounded to the nearest 1000000?
6000000
Round -0.01007361 to 5 decimal places.
-0.01007
What is 0.057229 rounded to 4 decimal places?
0.0572
Round -3878382700 to the nearest one million.
-3878000000
What is -2322.8 rounded to the nearest 10?
-2320
What is 40442.656 rounded to the nearest ten?
40440
What is -0.0001297275 rounded to five decimal places?
-0.00013
What is 0.960089 rounded to 1 dp?
1
What is -1.03627 rounded to 3 decimal places?
-1.036
Round -1188641.4 to the nearest 10000.
-1190000
Round -83849830 to the nearest 1000000.
-84000000
Round 1098019800 to the nearest one million.
1098000000
What is 46039720 rounded to the nearest one million?
46000000
What is 0.0000369065 rounded to seven dps?
0.0000369
Round 4.32496 to 1 decimal place.
4.3
What is 218395000 rounded to the nearest one million?
218000000
What is -32474120 rounded to the nearest 100000?
-32500000
Round -6824.4624 to the nearest 1000.
-7000
What is 0.03771547 rounded to five decimal places?
0.03772
Round 0.00000335171 to six decimal places.
0.000003
Round -0.48192125 to 4 decimal places.
- | {
"pile_set_name": "DM Mathematics"
} |
lculate 84491 divided by -11.
-7681
Divide 3868525 by 5.
773705
Divide -2539 by 286923.
-2539/286923
-148 divided by -4560583
4/123259
Divide 6232222 by -17.
-6232222/17
What is -125494 divided by 7382?
-17
Divide -15 by -5902.
15/5902
What is 76 divided by -1221543?
-76/1221543
-11 divided by 1240665
-11/1240665
Divide 1349496070 by 12731095.
106
Calculate 1197395 divided by -16.
-1197395/16
What is -112562720 divided by -1570?
71696
Calculate -18228255 divided by 1985.
-9183
Calculate -2 divided by -123278102.
1/61639051
-1195570970 divided by -5
239114194
Divide -51941 by -17.
51941/17
Divide 10920936 by 11832.
923
-4 divided by -1413648
1/353412
13142790 divided by 2628558
5
3 divided by 136987821
1/45662607
Divide 103 by 5731518.
103/5731518
Calculate 235937770 divided by 5.
47187554
Divide 6142722 by 105909.
58
-3 divided by -1840242
1/613414
Calculate -139345 divided by -175.
27869/35
What is 4143969 divided by 272?
4143969/272
Divide 3730636 by -932659.
-4
Calculate -116525640 divided by -660.
176554
5148845 divided by 6
5148845/6
Calculate 556 divided by 45257.
556/45257
Divide 23 by 800211.
23/800211
What is 3711840 divided by 912?
4070
Calculate -35561 divided by -9.
35561/9
Calculate 18435248 divided by 337.
54704
Calculate 106281952 divided by 1234.
86128
Calculate 16 divided by 1780709.
16/1780709
What is -18786050 divided by -2099?
8950
Calculate 22536 divided by 60.
1878/5
Calculate 198746600 divided by -520.
-382205
Divide 22697292 by -527844.
-43
Calculate 3818 divided by -46308.
-1909/23154
Divide 854143 by -54.
-854143/54
Divide -1631248 by 344.
-4742
Divide 53204 by 10.
26602/5
Calculate 3 divided by -895263.
-1/298421
Divide -653961 by -11.
59451
-25580240 divided by 1827160
-14
20564 divided by 920
5141/230
Calculate 2828 divided by 117591.
2828/117591
Divide -34857 by -3205.
34857/3205
Divide -546 by -660.
91/110
-8211245 divided by 283
-29015
What is -5402 divided by 902?
-2701/451
Calculate 2106000 divided by 3000.
702
What is 78 divided by -91970?
-39/45985
-149567243 divided by 21366749
-7
134795349 divided by -1
-134795349
What is -31596795 divided by -1858635?
17
Calculate 3621 divided by -20911.
-3621/20911
Divide -1 by 138965169.
-1/138965169
What is -32430835 divided by 6486167?
-5
-11233523 divided by -11233523
1
Calculate 49978960 divided by 4.
12494740
What is 432 divided by -204475?
-432/204475
What is -412513 divided by -1038?
412513/1038
Divide -28162 by -489.
28162/489
What is -138219280 divided by -13435?
10288
-7596070 divided by -92635
82
Divide 8045645 by 5.
1609129
Divide 20526288 by -6842096.
-3
Calculate -13848 divided by 401.
-13848/401
What is -29595066 divided by 4?
-14797533/2
Calculate -229525198 divided by 406.
-565333
What is -677310 divided by 12?
-112885/2
What is -4 divided by 2474476?
-1/618619
Divide 774794954 by -422.
-1836007
Calculate -314 divided by 25054.
-157/12527
-7356433 divided by -7356433
1
Divide 125813583 by -2466933.
-51
Calculate 174 divided by 87667.
6/3023
-1 divided by 17673462
-1/17673462
What is -164026800 divided by 2187024?
-75
Calculate 500735 divided by 14.
500735/14
Divide 2032890 by 2.
1016445
Divide -44567393 by 44567393.
-1
Divide 4 by -12538928.
-1/3134732
What is -1 divided by 4955208?
-1/4955208
-12705 divided by 31
-12705/31
334785 divided by -30435
-11
What is 697 divided by 1384?
697/1384
7084499 divided by -4
-7084499/4
Calculate -4867720 divided by 65780.
-74
Divide -46203275 by 9240655.
-5
Calculate 209458 divided by 84.
104729/42
Divide -21177126 by -122.
173583
Calculate -180252210 divided by -2770.
65073
What is 261241094 divided by 1?
261241094
Calculate -161266432 divided by 5888.
-27389
Divide 708197 by 2.
708197/2
Calculate -24092327 divided by -7.
3441761
Calculate -194830926 divided by -104411.
1866
97607513 divided by 5
97607513/5
Divide -405 by 163467.
-45/18163
7854310 divided by -10
-785431
Calculate 130878 divided by -15.
-43626/5
71113 divided by -156
-71113/156
-7706040 divided by -1926510
4
Calculate 9800106 divided by 1266.
7741
Calculate 23061080 divided by -4612216.
-5
-49539105 divided by -17255
2871
Calculate 195666400 divided by -5.
-39133280
1045800 divided by -43575
-24
Divide 63 by 28148.
63/28148
Divide 37395729 by -1780749.
-21
Calculate -219425328 divided by 6.
-36570888
360692463 divided by -3718479
-97
-4624035 divided by 345
-13403
What is 3926212 divided by 124?
31663
What is 6327956 divided by -8?
-1581989/2
Calculate -9880128 divided by -16144.
612
Divide 136072 by -181.
-136072/181
What is 3226 divided by 2496?
1613/1248
Calculate -208695740 divided by 220.
-948617
17428035 divided by -61151
-285
Divide 49539796 by -4.
-12384949
What is 9871525 divided by -5?
-1974305
-11 divided by -620240
11/620240
Calculate -223076524 divided by 4.
-55769131
Divide 363525 by -3.
-121175
Calculate 1334949395 divided by -2.
-1334949395/2
Calculate 12275860 divided by -39220.
-313
What is 136769661 divided by 267651?
511
-122806740 divided by -24561348
5
Divide 0 by -2539989.
0
Calculate -22941000 divided by 10.
-2294100
What is -304884301 divided by 1762337?
-173
-16147425 divided by 5382475
-3
What is 4 divided by 2664135?
4/2664135
Calculate -201297 divided by -85.
11841/5
Calculate -20 divided by 2093780.
-1/104689
What is -2184260 divided by 218426?
-10
-724692 divided by 1572
-461
What is 10504 divided by -404?
-26
-31947872 divided by 19
-31947872/19
Calculate 1159768 divided by -9998.
-116
Calculate 0 divided by -1246991.
0
Calculate 20226 divided by 4749.
6742/1583
Divide -311560280 by -15578014.
20
Divide -8417466 by 291.
-28926
What is -24830 divided by 396?
-12415/198
Calculate -351 divided by -151645.
27/11665
-2602356 divided by 2748
-947
Divide -83843067 by -7622097.
11
1924135895 divided by 5
384827179
36 divided by -9907033
-36/9907033
Calculate 4163725 divided by -2.
-4163725/2
What is 14409506 divided by -31739?
-454
-5385 divided by 5742
-1795/1914
Calculate -414604403 divided by -5248157.
79
1 divided by 4452163
1/4452163
Divide -540781085 by 585895.
-923
80 divided by 2671427
80/2671427
Divide 151953399 by -39.
-3896241
Calculate 447716587 divided by 15438503.
29
Calculate 4107 divided by 54250.
4107/54250
Divide 60074726 by 2.
30037363
Divide 16520842 by 11989.
1378
1424 divided by -1634
-712/817
What is -1928 divided by -178585?
1928/178585
What is 72244 divided by 1947?
72244/1947
Divide 195195 by 329.
27885/47
What is -6891 divided by 42204?
-2297/14068
Calculate 116250064 divided by 17962.
6472
What is -3392500 divided by -125?
27140
Divide 6757032 by -276.
-24482
63422164 divided by -26
-2439314
What is 86676106 divided by 2?
43338053
Divide 470264 by 97.
470264/97
Divide 10532368 by 63448.
166
Divide 152932 by 379.
152932/379
Divide -9902838 by 47382.
-209
What is 51383020 divided by -11219?
-4580
Divide 176 by 2841935.
176/2841935
-136696248 divided by 243
-562536
What is -63984904 divided by -331528?
193
-9995 divided by -1813
9995/1813
-381467640 divided by -95366910
4
73735386 divided by 373
197682
-43961324 divided by -764
57541
-3504204 divided by -8849
396
Calculate -2 divided by 77192.
-1/38596
-4033 divided by 2278
-4033/2278
Calculate 37455 divided by -177.
-12485/59
Calculate 92205440 divided by 4.
23051360
What is 39923540 divided by -5?
-7984708
Calculate -27145827 divided by 1073.
-25299
What is -1466 divided by -133202?
733/66601
90166394 divided by 342838
263
What is -165144298 divided by 2309?
-71522
-31195 divided by 1381
-31195/1381
What is -110378229 divided by -3893?
28353
What is 278310 divided by -55662?
-5
-5866 divided by 7731
-5866/7731
What is -2739262 divided by 2739262?
-1
Calculate -13756047 divided by -1679.
8193
Divide 132854650 by -475.
-279694
Calculate 102853452 divided by 1.
102853452
3307176 divided by 366
9036
-79573 divided by 43
-79573/43
403013611 divided by 221
1823591
-11523008 divided by -102884
112
What is 769494 divided by 11659?
66
Divide 267 by 8058.
89/2686
Calculate -12826973 divided by -193.
66461
Divide -3327982 by 114758.
-29
-64292320 divided by 20
-3214616
What is -1 divided by 5652448?
-1/5652448
1528032 divided by -340
-382008/85
Calculate -4 divided by 16903021.
-4/16903021
23 divided by 20398114
23/20398114
What is 1 divided by -1279674?
- | {
"pile_set_name": "DM Mathematics"
} |
-3*i + 2 = -g for i.
1
Let z = 132 + -131. Solve -z = v - 3 for v.
2
Suppose -2*l = 3*i + 22, -3*i = 5*l - i + 55. Let w = l + 11. Solve 10*c - 5*c + 5 = w for c.
-1
Suppose -4 = -4*h + 2*h - 3*v, 0 = -h + 2*v + 9. Solve -3*a + h + 1 = 0 for a.
2
Suppose -13*d = 3 - 16. Solve 0 = -h - 0 - d for h.
-1
Suppose -2*g = -7*g. Let a be (-2 - g)/((-5)/20). Solve -a = 3*c - c for c.
-4
Suppose 0 = -0*l - 2*l + 6. Let z(d) = 7*d + 1. Let u be z(l). Suppose -2*m + u = 2*t, -26 = -3*t + 2*t - 4*m. Solve 2*b - 4*b - t = 0 for b.
-3
Let w = -26 - -29. Let c be 0/((w - -1) + -2). Solve 0*l + 5*l + 25 = c for l.
-5
Suppose 4*r + 1 = -3*y, 2*y + 3 = 2*r + 21. Suppose 3*u = 3*c + 6*u, 0 = -4*c + y*u. Solve c = b - 2*b + 5 for b.
5
Let a = -20 + 23. Solve 6 = -n + a*n for n.
3
Let n(s) be the first derivative of s**4/4 + 2*s**3 + 3*s**2/2 - 5*s - 1. Suppose 11*t + 2*t + 65 = 0. Let c be n(t). Solve -c*b + 1 = -4 for b.
1
Suppose 4*q - q - 21 = 0. Solve -q*k = -3*k for k.
0
Let t(z) = -z**2 - 5*z - 2. Let q be t(-3). Suppose d = -2 + q. Suppose -3*j + d*j + w = 1, j - 3*w + 9 = 0. Solve j = -5*f - 2 for f.
-1
Let y(q) = -q - 8. Let h be y(0). Let t be ((-2)/h)/(4/48). Suppose t*c - 4 = 8, -5*o + 4*c = 6. Solve -6*v + o*v = 16 for v.
-4
Suppose 19 = 2*k + 3. Solve 3*v - k*v = -15 for v.
3
Let n(s) = s - 6. Let f be n(5). Let w = f + 5. Solve -w*m = m for m.
0
Suppose -2*d + 15 + 13 = 0. Solve 4*m - 2 = d for m.
4
Let k be 114/27 + (-2)/9. Suppose k*q = -0*q. Let i be 3*(-10)/(-3) + q. Solve -7*m - i = -5*m for m.
-5
Let v be ((-6)/10)/((-4)/20). Suppose 27 = -i - v*l, -21 = 4*i - 2*i - 5*l. Let t be (-4)/(-18) - 32/i. Solve 2*s + t*s = 0 for s.
0
Let u(j) = -j**3 - 4*j**2 - j + 2. Let q be u(-2). Let i be 1/3 + q/3. Let z be i/(-2) + (-2)/4. Solve 3*m + m = z for m.
0
Let u be 3*(5 - 8/2). Suppose -5*b + 4*w - 4 = 1, -3*b - 3 = -w. Let z be u + b - (3 + -7). Solve y + z = 2 for y.
-4
Let l = -7 + 1. Let t(w) = w**2 + 4*w - 7. Let q be t(l). Suppose -y - 2*p - q = -1, -7 = -2*y + p. Solve -2*s + 4 = y for s.
1
Let z be 6/15 - (-16)/10. Suppose -z*r - 2*d = -4, -5*r + 22 = -3*d + 2*d. Solve 0 = r*b - 3*b + 4 for b.
-4
Suppose 0 = b - 4*b + 12. Suppose 0 = n + 5*n - 12. Suppose -4*i - b*c = -16, 2*i + c - 2*c = n. Solve -i*h + 4*h = 0 for h.
0
Let y(p) = 9*p + 1. Let j(i) = -17*i - 2. Suppose -3*u + 6 = -0*a + 5*a, 21 = 4*a - 3*u. Let n(d) = a*j(d) + 5*y(d). Let k be n(-1). Solve -10 = k*v + 5 for v.
-3
Suppose 0*j = 2*j + 6. Let s = j - -3. Let l = 6 - 6. Solve l = -4*x - s*x for x.
0
Suppose 3*d + 3 - 9 = 0. Let b be (-33)/1*(-1)/(-3). Let l(s) = s + 13. Let i be l(b). Solve 8 + d = -i*t for t.
-5
Let j(y) = y**3 - 3*y**2 - 7*y - 10. Let p be j(5). Solve -p*z - 12 = -2*z for z.
-4
Suppose -4 = 4*l - 4*f, -l + 4 = l + 4*f. Solve l = 3*j - 4*j for j.
0
Let h(u) = -u - 1. Let a be h(-2). Let w = a + 3. Solve -d = w*d - 15 for d.
3
Suppose -a + 0 - 3 = 0. Let c = a - -4. Let x be 1*10 + 1/c. Solve x = -3*f + 2 for f.
-3
Suppose -4*z + d + 17 = -3, 0 = -2*z + 3*d + 10. Suppose -f - z*u = 22 - 0, 5*f + u - 10 = 0. Solve -f*p + 2*p = 1 for p.
-1
Let g(z) = z**3 + 4*z**2 - 4*z + 7. Let p be g(-5). Suppose -4*i = -4*v - p*i + 20, -2*i - 24 = -5*v. Solve 0 = -v*w + 14 - 2 for w.
3
Let j = -85 - -92. Let w be -2 + 1 + 1*3. Solve w*u = j*u + 5 for u.
-1
Suppose 0 = 4*z + z. Suppose 3*t - 2*m + z*m - 19 = 0, 3*t - 25 = 5*m. Solve -t*c = -0 - 5 for c.
1
Let k(d) = -d**2 + 3*d - 2. Let w be k(2). Let y(t) = -t**2 + 3. Let s be y(w). Let o = s + -1. Solve o*n = -2*n for n.
0
Let h(d) = -d**3 + d + 25. Let j be h(0). Let u(n) = n. Let v be u(2). Solve -j = 3*m + v*m for m.
-5
Suppose 3*g + 3 = -3*y + 18, -y = 4*g - 5. Suppose 0 = -a - 4*f + 20, a = -2*a - f + 5. Let i = g - a. Solve i*p + 15 = 5*p for p.
3
Let c = 87 - 83. Solve w - c = -0 for w.
4
Suppose -2*k - f + 178 = 3*k, 4*k - 5*f - 154 = 0. Suppose -2*d + 3*h = -36, 5*d + 21 = -2*h + 111. Let n be 32/d + 8/k. Solve -14 - n = -4*j for j.
4
Suppose -5*i + 12 = -i. Let s(n) = n**2 + 3. Let a be 3/(-18) - (-2)/12. Let u be s(a). Solve -i*c + 0 = u for c.
-1
Suppose 1 = -4*j + 5. Suppose 0 = m + j - 5. Solve 0 = 5*u - m*u + 1 for u.
-1
Let g be (1 - -2)/(3/14). Let r = 1 + 3. Suppose 0 = 3*x - 12, -f - g = f - r*x. Solve -2*a + a - f = 0 for a.
-1
Suppose 10 = 18*d - 13*d. Solve 0 = 4*x - 3*x + d for x.
-2
Let a be 0 + 7/((-7)/(-6)). Solve -4 = -a*t + 4*t for t.
2
Let w = -5 + 5. Let n = w + 5. Solve -20 = n*h - h for h.
-5
Let t(v) = -v - 6. Let a be t(-10). Solve -b - 15 = -a*b for b.
5
Suppose -45 = -4*k + j, -6*j = k - j - 27. Solve -4 + k = -2*l for l.
-4
Suppose -2*l + 4 = -2*k, -l + 2 = -2. Let q(z) = -4*z + 3. Let h(b) = 5*b - 4. Let u(d) = -3*h(d) - 4*q(d). Let f be u(k). Solve 0 = 5*w - f*w + 15 for w.
-5
Let k be (-31)/(-6) + 4/(-24). Solve k*c + 0*c + 10 = 0 for c.
-2
Let w = 9 - 4. Suppose 2*y - 6 = -2*d - 48, w*d = -2*y - 105. Let j = -14 - d. Solve -2*m + j*m + 25 = 0 for m.
-5
Let z = 3 - 22. Let h = 23 + z. Solve h*d = -d + 5 for d.
1
Let n(v) = 8. Let h(l) = -l - 1. Let x(g) = h(g) + n(g). Let r be x(3). Solve -r*q + 0 = -8 for q.
2
Suppose 3*k + 0*n = 3*n + 18, -14 = k + 4*n. Solve -m + k = 7 for m.
-5
Let p(x) = x**2 - x - 3. Let b be p(3). Suppose d + b*d - 8 = 0. Solve -6*l - 12 = -d*l for l.
-3
Suppose -4*l = 3*c + 21, c + 2 + 7 = -2*l. Let q = c + 8. Solve -q*h + 4 = -3*h for h.
2
Let q(z) = z**3 + 2*z**2 - 4*z - 2. Let m be q(-3). Let w be -3 + m + (-3)/(-1). Let t be w - (-2 + 2 + -2). Solve 0 = t*n - 5*n - 8 for n.
-4
Suppose -3*j - 4 + 13 = 0. Solve -3 = -j*z - 0*z for z.
1
Let r(l) = -l**2 + 5*l - 3. Let p be r(3). Suppose -10 = -p*v - t, -2*v + 7*t = 3*t - 2. Solve 6 = v*j - 9 for j.
5
Let i be 5 + (-3)/(-3) - 2. Suppose -j - i*j = -10. Solve -6 - j = -2*v for v.
4
Suppose -4*z + 5*y - 9 = 0, z = -2*z - y + 17. Suppose p - 4 = a, -5 = -z*p + 2*a + 9. Solve -k = -p*k for k.
0
Let x(b) = -b**2 + 12*b - 4. Let v(z) = -z - 1. Let r(d) = v(d) + x(d). Let c be r(10). Suppose -4*g + 55 = c*l, 7*l - 15 = 2*l. Solve -5*p + 20 = -g*p for p.
-4
Suppose 5 = 5*y - 15. Solve 0 = y*b - 9*b + 25 for b.
5
Let l = 18 - 9. Let w be 22/6 + 3/l. Solve 0 = w*i + 14 + 6 for i.
-5
Let x = -23 - -25. Solve -x = -2*a - 0 for a.
1
Suppose 14 = -4*n + 2*k, 0 = -5*n + 3*k - 14 - 5. Let w be 4 + (n - (-2 - -2)). Suppose -2*b + 2 = -b + w*m, -2*b - m = -4. Solve 1 = -l - b for l.
-3
Let y be 0/(2 + -3 - -2). Suppose -2*b = -y*b - 24. Let w = 3 + -1. Solve -w*s - 2*s = -b for s.
3
Let h = 0 + 5. Suppose -4*d + h + 7 = 0. Solve -d*m = -2*m for m.
0
Let r be (1 - 2/(-1))*1. Let n = 0 - r. Let a be (-5)/n + 3/9. Solve a = 3*j - 13 for j.
5
Let x(i) = 3*i**2 - 1. Let g be 3*2*2/(-12). Let b be x(g). Solve 3*k - b = k for k.
1
Let m be (-39)/(-33) + 4/(-22). Suppose -2*p - m = -7*s + 4*s, -s - 1 = -p. Let d = 1 - 1. Solve d + 3 = -s*u for u.
-1
Suppose 4*i = -15 + 59. Let y(a) = 12*a - 12*a**2 - 2 - 8 + 2 + a**3. Let n be y(i). Solve n*w = -w for w.
0
Let w(p) = 2*p - 5*p - 3*p. Let v be w(-1). Suppose 4*q - 6*q = -v. Solve -4 = -q*t - 13 for t.
-3
Suppose -8*d + 14 = -d. Solve d*q = 5*q for q.
0
Suppose 0*i + 4 = -2*i + 5*x, 4*x - 4 = 2*i. Let o = i + -2. Let u = 4 + o. Solve -r - 4 = -u*r for r.
-4
Let t be (-14)/(-21)*63/2. Let o = t - 14. Solve 3*f - 20 = o*f for f.
-5
Suppose -4*t + 360 = -396. Let i be 2/(-8) + t/36. Let b(s) = -s**3 + 2*s**2 + 4*s - 3. Let d be b(3). Solve d*h = i*h for h.
0
Suppose o = j + 3*o - 9, -3 = 2*j - 3*o. Suppose -j*b = 2*b - 20. Solve 6 = b*g - 7*g for g.
-2
Suppose 4*x - 10 = -x. Solve -1 = -x*o + 3 for o.
2
Let u be 2 + -4 + 1*4. Suppose -2*n - 2*x = -14, -6*n + 3*x + 14 = -u*n. Suppose 4*r + 1 = -3*o, 3*o + 24 - 5 = n*r. Solve 4 = -r*s + s for s.
-4
Let n = 1 - 1. Solve n*s = 4*s + 12 for s.
-3
Suppose 84 = 19*j + 2*j. Solve -14 + 2 = -j*s for s.
3
Let j(c) = -c + 1 - 5 + 13. Let x be j(-6). Solve -s = -4*s + x for s.
5
Let v(k) = 2*k**3 - 6*k**2 + k - 1. Let p be v(4). Suppose -4*q + p = 7. Suppose d + 1 = 0, -3*a = 3*d + 2*d - q. Solve -m + 0*m - a = 0 for m.
-4
Let i = -3 - -2. Let r be 1/(-2) - i/2. Let j be 0/(5 - (r + 3)). Solve j = 5*a - 1 - 9 for a.
2
Suppose 0 = s - 4, 0*s - 1 = i - s. Solve -i*m = -6*m for m.
0
Suppose 4*o + 45 + 115 = 0. Let b be o/(-12)*(-15)/(-2). Suppose -3*w + | {
"pile_set_name": "DM Mathematics"
} |
v be i(-10). Suppose 8 = 5*h - v. Calculate the remainder when h is divided by w.
5
Let u(l) = l**2 + 14*l + 37. What is the remainder when 46 + (1 + 3)/(-4) is divided by u(-13)?
21
Let y(x) = x - 16. Let b be y(14). What is the remainder when b + 46 + (-2 - 1) is divided by 22?
19
Let l(s) = s**3 + s**2 + s + 40. Let g be l(0). Suppose 38*c = g*c - 110. Suppose -5*d - c + 225 = 0. Calculate the remainder when d is divided by 7.
6
Suppose 6*g - 14 - 4 = 0. Suppose -12 = -3*r - 0. Suppose 5*f + 74 = g*k - 2*k, 0 = -r*f. What is the remainder when k is divided by 19?
17
Suppose 8*d + 5*d = 26. Suppose -2*l - 134 = -0*f - 4*f, 2 = d*l. Calculate the remainder when f is divided by 12.
10
Let a be (2 - (-2 + 0)) + 0. Suppose -2*g = 6, a*g + 26 - 6 = 2*v. Calculate the remainder when 8 is divided by v.
0
Let j = -12 - -22. Suppose 16*f - 2*f - 952 = 0. Calculate the remainder when f is divided by j.
8
Suppose 392*z = 376*z + 1440. Calculate the remainder when 169 is divided by z.
79
Let t(x) = x**3 + 6*x**2 + x + 8. Let z be t(-6). Suppose f = -z*f + 201. Calculate the remainder when f is divided by 23.
21
Let x = -21 - -45. Let o = -218 + 227. Calculate the remainder when x is divided by o.
6
Let f be (77 - (0 + -1))*(-6 + 7). Let h = 180 - f. What is the remainder when h is divided by 21?
18
Suppose -3*i = x - 101, 0 = 4*i + 141*x - 137*x - 132. What is the remainder when i is divided by 4?
2
What is the remainder when 18 is divided by 4/(-42) - 1484/(-147)?
8
Let w = 19 + -17. Suppose -w*f - 189 = -7*a + 2*a, 156 = 4*a - 4*f. Calculate the remainder when a is divided by 20.
17
Suppose -w - b = 2*b + 1, -w + 5*b + 31 = 0. Calculate the remainder when 54 is divided by w.
10
Suppose -a + 2 = -4*u, -a + 5*u = a - 13. What is the remainder when a is divided by 4?
2
Let i(o) = -o**2 + 6*o. Let a be i(5). Suppose -3*h - 2*h + 93 = 2*t, -a*t = 4*h - 71. Let j(n) = n**2 + n + 5. What is the remainder when h is divided by j(0)?
4
Let f = 48 - 12. What is the remainder when f is divided by 15?
6
What is the remainder when 1823 is divided by -2*(-146)/(-4)*83/(-83)?
71
Suppose 5*z - 20 = 3*m, 0*m + 14 = -m - 2*z. Calculate the remainder when (8/m)/(1/(-70)) is divided by 29.
27
Suppose -h + 38 = 3*u, -3*u - 64 = -3*h + 26. Suppose 3*n = -4 - 2. Let y(k) = 22*k**2 - 4*k - 3. What is the remainder when y(n) is divided by h?
29
Let f = 143 + -57. Let w = f + -58. Calculate the remainder when w is divided by 15.
13
Let k be 2/8 - 2010/(-24). Suppose 0 = 4*g - 4*f - k, 3*g + 5*f - 57 = 2*f. What is the remainder when g is divided by 7?
6
Let m = 50 + -46. Suppose -157 = -m*z + k, 3*z + k = z + 71. Calculate the remainder when 104 is divided by z.
28
Let p = 47 - 194. Let d = p + 206. Calculate the remainder when d is divided by 6.
5
Suppose -3*c + 7*c - 44 = 0. Let h be -12 + 19 - (-1 - 3). Let s = 53 - h. What is the remainder when s is divided by c?
9
Suppose -5*c = -0*c. Suppose c = 5*p - 6*p + 3. Suppose 40 = -p*s + 130. Calculate the remainder when 88 is divided by s.
28
Let i(h) = 2*h**3 + 13*h**2 + 16 - h**3 + 55*h - 59*h. What is the remainder when i(-13) is divided by 18?
14
Suppose 37*f = 28*f + 1602. What is the remainder when f is divided by 15?
13
Let q(y) = y**3 - 57*y**2 - 51*y - 379. Let x(k) be the second derivative of 35*k**3/2 + k. Calculate the remainder when x(1) is divided by q(58).
24
Let q(d) = 2*d**2 - 14*d - 48. Calculate the remainder when 153 is divided by q(11).
33
Suppose 1017 = -43*k + 11810. Calculate the remainder when k is divided by 14.
13
Suppose -5*b + 249 = -3*j, 2*b - 3*b = -j - 49. Calculate the remainder when 190 is divided by b.
37
Calculate the remainder when (-44)/66 + 25*(-4)/(-6) is divided by 10.
6
Suppose 17 = 2*g + 7*w - 8*w, 0 = -4*g - 4*w + 16. Let z(d) = -d**3 + 9*d**2 - 12*d + 11. What is the remainder when z(g) is divided by 7?
4
Let z = 270 + -243. Calculate the remainder when 215 is divided by z.
26
Suppose 0*x + x = -306. Calculate the remainder when (x/72)/((-1)/40) is divided by 43.
41
Let q = 5 + -17. Calculate the remainder when 3 + (-4)/(q/99) is divided by (-368)/(-36) - 2/9.
6
Suppose -4*j - j + 4*w = -821, -5*w + 5 = 0. Suppose 0 = 4*o - 4*f - 232, 4*o = 2*f + 77 + j. Calculate the remainder when o is divided by 22.
19
Let c = -29 - -13. Let h = 946 - 841. Calculate the remainder when h is divided by ((-108)/(-16))/((-3)/c).
33
What is the remainder when 176 is divided by (-27)/(-12)*-80*(-7)/42?
26
Let m = 2563 - 2417. Calculate the remainder when m is divided by 24.
2
Suppose 0 = 3*r + r - 1136. Let q = 22048 + -22007. Calculate the remainder when r is divided by q.
38
Let a(w) = -w**3 + 5*w**2 + 8*w - 1. Let p = -13 + 36. Let r = p + -17. What is the remainder when a(r) is divided by 7?
4
Suppose -56 - 8 = 4*a. Suppose 0 = 5*g - 200 - 10. What is the remainder when g is divided by (16 + -1)*(-15 - a)?
12
Let w(b) = 6*b**2 + b - 4. Calculate the remainder when w(-3) is divided by 2/(-3)*(-26 - 10).
23
Let q(b) = -9901 + 2*b**2 - 3*b**2 + 9895 - 10*b. Suppose -u + 0*u - 6 = 0. What is the remainder when q(u) is divided by 7?
4
Suppose 5*p + 10 - 125 = 0. Let a(o) = -o**3 - 6*o**2 - o + 10. Suppose 8 = -3*z - 13. What is the remainder when a(z) is divided by p?
20
Let o = -154 - -236. Calculate the remainder when o is divided by 42.
40
Let s(v) = -3*v + 25. Let j(q) = 4*q - 24. Let p(b) = 4*j(b) + 5*s(b). Calculate the remainder when p(-10) is divided by (2*-1)/2*-5.
4
Let f = 1129 + -850. Calculate the remainder when f is divided by 35.
34
Suppose -2*w = 11 + 41. Calculate the remainder when w/10 + 3 + (-815)/(-25) is divided by (-62)/(-5) - 2/5.
9
Suppose -13*s = -18*s + 10. Suppose -s*f + w + w = -76, 0 = 5*w + 25. Calculate the remainder when 96 is divided by f.
30
Suppose -105 = -5*s + 4*k, 0*s = 5*s + 4*k - 145. Let c(f) = 6*f + 51. What is the remainder when c(8) is divided by s?
24
Let p(h) = -h**2 + 12*h - 3. Let u be p(12). Let m = u + 3. Calculate the remainder when 33 is divided by 2 + -5 + (m - -15).
9
Calculate the remainder when 42 is divided by (-11)/(-12 + 17 + (-6 - 0)).
9
Let c be 0 - (-1)/((-1)/(-42)). Suppose -3*i + 47 = -2*h, 3*i - 4*h = -7*h + c. Let l(u) = -u**2 + 9. What is the remainder when i is divided by l(0)?
6
Suppose 3*l - i - 81 = 2*i, -i = 2*l - 42. Suppose 0 = -v - 2*v + 225. Let y = -32 + v. Calculate the remainder when y is divided by l.
20
Let l(q) = -34*q - 563. Let n(t) = -t**3 + t**2 - 4. Let g be n(0). Let v(h) = -3*h - 3. Calculate the remainder when l(-17) is divided by v(g).
6
Suppose -5*g + 22 = -t + 1, -4*t + 2*g = -6. Suppose -m - 2*m - 5*x = 16, 8 = -4*m - t*x. What is the remainder when 4 is divided by m?
1
Suppose 9 - 3 = 2*f + 2*x, 2*x = -8. Suppose -f*i - 26 + 264 = 0. What is the remainder when 132 is divided by i?
30
Suppose 0 = -9*f + 402 + 732. Calculate the remainder when 372 is divided by f.
120
Suppose 3*w + 2*w - 15 = 0, -2*m - w + 73 = 0. Let r = -6845 - -6851. Calculate the remainder when m is divided by r.
5
Let d(v) = -v**3 + v**2 - 3*v + 47. Calculate the remainder when d(0) is divided by 14.
5
Let j(s) = 8*s**2 + 1. Let n(f) = -f**3 - 15*f**2 - 8*f - 33. What is the remainder when n(-15) is divided by j(-1)?
6
Calculate the remainder when -4*-97*2/4 is divided by 67.
60
Suppose -13*a - 5 = -14*a. What is the remainder when 26 is divided by a?
1
Let k(i) = -i - 8. Let h be k(-13). Suppose 0 = -h*f - 3*w + 184 - 61, -4*w = 5*f - 124. What is the remainder when f is divided by 9?
6
Suppose 2*l + 5*k = 4*l - 16, -l - 22 = 5*k. What is the remainder when (l/(-3))/((20/915)/2) is divided by 16?
13
Suppose 2*b - 19 = -5*h - 103, -5*b + 3*h = 272. Calculate the remainder when 15 is divided by 1/(b/28 + 2).
1
Let i = 4 + -3. Let y be i*((-2 - -2) + -2). Let r(f) = f**2 - 1. What is the remainder when 7 is divided by r(y)?
1
Suppose q + 13*q = 1050. What is the remainder when q is divided by (35 - 8) + 3*1?
15
Suppose 4*u - 1 + 13 = 0. Suppose 3*k + 9 = 5*d - 2, -k = -3. Calculate the remainder when 14 - (u - (-6 - -2)) is divided by d.
1
Let i be 15 - (-2 + 2) - 4. Suppose -4*t = 5*d - 37, i*d + 33 = 14*d - 3*t. Calculate the remainder when 47 is divided by d.
2
Let m = 144 + -112. Calculate the remainder when 142 is divided by m.
14
L | {
"pile_set_name": "DM Mathematics"
} |
What is prob of sequence jrq?
5/198
Calculate prob of sequence ep when two letters picked without replacement from {x: 3, e: 1, p: 2, t: 7, y: 5}.
1/153
What is prob of sequence su when two letters picked without replacement from {o: 7, s: 2, u: 1}?
1/45
Three letters picked without replacement from lsisiliiiillissil. Give prob of sequence ssi.
2/85
What is prob of sequence mzm when three letters picked without replacement from {z: 4, g: 1, m: 3}?
1/14
Three letters picked without replacement from {p: 2, x: 4, l: 3, f: 2}. What is prob of sequence xxx?
4/165
Calculate prob of sequence pmmm when four letters picked without replacement from {m: 6, p: 1, w: 7}.
5/1001
Three letters picked without replacement from bbaaaaoabaaobboaaao. Give prob of sequence bao.
100/2907
Calculate prob of sequence ff when two letters picked without replacement from gggffgffgfgbgggpg.
5/68
Four letters picked without replacement from btbbbbbbbbbt. What is prob of sequence btbt?
1/66
What is prob of sequence sdi when three letters picked without replacement from wsdeesrsiddswsdise?
1/102
Four letters picked without replacement from kkuukukdkkkkkkd. Give prob of sequence dkkd.
1/182
Two letters picked without replacement from bhbh. Give prob of sequence hh.
1/6
Calculate prob of sequence oh when two letters picked without replacement from htothdtddhdodhh.
1/21
Calculate prob of sequence ls when two letters picked without replacement from {l: 1, y: 2, s: 4, a: 2}.
1/18
Two letters picked without replacement from ssesssseyser. What is prob of sequence rs?
7/132
Three letters picked without replacement from {l: 5, c: 1, r: 2, y: 1}. Give prob of sequence lcl.
5/126
Three letters picked without replacement from expxpppuegexxuxxgexe. What is prob of sequence geu?
1/342
Calculate prob of sequence afw when three letters picked without replacement from afmwa.
1/30
Calculate prob of sequence ztnc when four letters picked without replacement from tztsscn.
1/420
Two letters picked without replacement from {z: 2, b: 9, q: 2, m: 1, n: 2, s: 4}. Give prob of sequence zb.
9/190
Calculate prob of sequence rim when three letters picked without replacement from grmiuug.
1/210
Three letters picked without replacement from {z: 4, a: 6, b: 1, c: 3}. Give prob of sequence zza.
3/91
Two letters picked without replacement from {a: 2, g: 2, p: 1, f: 3, k: 3, b: 3}. Give prob of sequence kk.
3/91
Three letters picked without replacement from {l: 4, h: 2}. What is prob of sequence llh?
1/5
Three letters picked without replacement from {x: 1, y: 1, s: 2, d: 2, v: 1}. What is prob of sequence xsy?
1/105
Two letters picked without replacement from {b: 10, f: 4, s: 4, z: 2}. Give prob of sequence fs.
4/95
Two letters picked without replacement from {y: 7, f: 4}. What is prob of sequence yf?
14/55
Four letters picked without replacement from wwxauwawxumxuww. Give prob of sequence maux.
1/1820
Calculate prob of sequence su when two letters picked without replacement from suctssssusuhschu.
7/60
Calculate prob of sequence sxx when three letters picked without replacement from vxxxvxxsvsfvvxvxvfx.
56/2907
What is prob of sequence mgg when three letters picked without replacement from gmkkgmkg?
1/28
What is prob of sequence wb when two letters picked without replacement from {w: 1, t: 1, b: 2}?
1/6
Four letters picked without replacement from {g: 5, t: 12, p: 2}. What is prob of sequence pggg?
5/3876
What is prob of sequence ccq when three letters picked without replacement from {l: 4, q: 2, c: 4, k: 2}?
1/55
Four letters picked without replacement from {q: 5, g: 4, d: 1, z: 2, o: 7, l: 1}. What is prob of sequence zgqz?
1/2907
Three letters picked without replacement from hhvhkkhvjhhvjhk. What is prob of sequence hjk?
1/65
Calculate prob of sequence uj when two letters picked without replacement from {p: 3, n: 1, j: 1, s: 10, u: 2, k: 2}.
1/171
Three letters picked without replacement from zxxxxxxxxsxxxx. Give prob of sequence xzx.
11/182
Three letters picked without replacement from {e: 1, d: 2, q: 2, u: 1, i: 1, o: 2}. What is prob of sequence qui?
1/252
Four letters picked without replacement from ezxzq. Give prob of sequence qzez.
1/60
Four letters picked without replacement from {k: 6}. What is prob of sequence kkkk?
1
What is prob of sequence jnnn when four letters picked without replacement from {u: 1, m: 1, g: 1, e: 2, n: 3, j: 3}?
1/440
Four letters picked without replacement from {t: 1, m: 1, s: 2, h: 5, d: 3}. What is prob of sequence thdd?
1/396
Three letters picked without replacement from ndndn. What is prob of sequence nnn?
1/10
What is prob of sequence zz when two letters picked without replacement from {q: 6, z: 13}?
26/57
What is prob of sequence tt when two letters picked without replacement from ttaaaaatata?
6/55
What is prob of sequence bhhb when four letters picked without replacement from bnhhbhhhnhbhhb?
4/143
Three letters picked without replacement from {h: 3, u: 2, n: 7}. What is prob of sequence hnh?
7/220
Four letters picked without replacement from xjxrrjxrjxrjxr. Give prob of sequence rxrx.
50/3003
Calculate prob of sequence ied when three letters picked without replacement from eieiiedediieeeieee.
5/204
Two letters picked without replacement from {i: 4, o: 1, h: 1, e: 11, d: 1}. Give prob of sequence ie.
22/153
Two letters picked without replacement from {q: 2, n: 1, w: 1, c: 2, b: 1}. What is prob of sequence cq?
2/21
Four letters picked without replacement from {f: 6, y: 2, e: 2, d: 6, r: 1, u: 3}. What is prob of sequence dudf?
3/646
What is prob of sequence osd when three letters picked without replacement from {d: 1, s: 2, o: 2}?
1/15
What is prob of sequence uso when three letters picked without replacement from {u: 1, s: 1, n: 1, o: 2, r: 2, z: 1}?
1/168
Two letters picked without replacement from {i: 13, t: 3}. Give prob of sequence it.
13/80
Two letters picked without replacement from {v: 7, h: 2, w: 7}. What is prob of sequence vw?
49/240
What is prob of sequence cic when three letters picked without replacement from {c: 3, j: 1, r: 1, p: 2, i: 3, b: 1}?
1/55
Four letters picked without replacement from {a: 1, k: 17}. What is prob of sequence kkak?
1/18
Two letters picked without replacement from {r: 3, n: 10, x: 3, q: 1, v: 1, c: 1}. Give prob of sequence nn.
5/19
What is prob of sequence xxb when three letters picked without replacement from {q: 8, x: 7, b: 5}?
7/228
Four letters picked without replacement from {h: 9, g: 5}. What is prob of sequence ghhg?
60/1001
What is prob of sequence otw when three letters picked without replacement from otwqwqqqqqwwwqqwwo?
7/2448
Two letters picked without replacement from {i: 3}. Give prob of sequence ii.
1
Calculate prob of sequence vk when two letters picked without replacement from vvvvxxvazk.
1/18
What is prob of sequence fd when two letters picked without replacement from {d: 2, f: 9, c: 3, i: 3}?
9/136
Calculate prob of sequence uw when two letters picked without replacement from euquqntquuwqtuuttutw.
7/190
Two letters picked without replacement from hhhl. What is prob of sequence hl?
1/4
Two letters picked without replacement from kmzjmxk. What is prob of sequence zj?
1/42
What is prob of sequence loms when four letters picked without replacement from olllollmlsmlklkkl?
3/4760
Two letters picked without replacement from {t: 1, w: 1, l: 1, x: 1, o: 1}. Give prob of sequence xl.
1/20
What is prob of sequence oyy when three letters picked without replacement from {o: 2, y: 8, j: 5}?
8/195
What is prob of sequence eppp when four letters picked without replacement from geppgpgpeppppgpg?
3/130
Calculate prob of sequence pk when two letters picked without replacement from {s: 3, x: 2, q: 1, k: 2, p: 4, f: 2}.
4/91
Two letters picked without replacement from diuiwiq. Give prob of sequence iu.
1/14
Two letters picked without replacement from gvggvvgvgglglg. What is prob of sequence vl?
4/91
What is prob of sequence hy when two letters picked without replacement from {s: 1, y: 9, h: 5, x: 5}?
9/76
Calculate prob of sequence oso when three letters picked without replacement from {e: 2, a: 1, s: 2, w: 1, o: 1}.
0
What is prob of sequence qqo when three letters picked without replacement from nqorroqrrrqqooo?
2/91
What is | {
"pile_set_name": "DM Mathematics"
} |
9}?
1
Two letters picked without replacement from swswwsxuwwxuuwrwwuws. What is prob of sequence sr?
1/95
Four letters picked without replacement from {t: 2, f: 10}. Give prob of sequence tfft.
1/66
Calculate prob of sequence eeee when four letters picked without replacement from {e: 7}.
1
Calculate prob of sequence umu when three letters picked without replacement from mummufbmmmmb.
7/660
Two letters picked without replacement from qqqiiii. Give prob of sequence qq.
1/7
Two letters picked without replacement from {c: 3, i: 1}. What is prob of sequence ic?
1/4
Two letters picked without replacement from {r: 3, y: 9}. Give prob of sequence yy.
6/11
What is prob of sequence baja when four letters picked without replacement from {u: 5, o: 1, a: 3, j: 3, b: 4, m: 4}?
1/1615
Calculate prob of sequence uu when two letters picked without replacement from {x: 1, u: 14}.
13/15
Four letters picked without replacement from vzzfzzzzzvzvzzfzz. What is prob of sequence zvzf?
33/2380
What is prob of sequence hhqq when four letters picked without replacement from qqqtqhhht?
1/42
Two letters picked without replacement from tmammtamamammaammta. What is prob of sequence mt?
3/38
Calculate prob of sequence qajj when four letters picked without replacement from {u: 2, m: 1, j: 2, a: 2, q: 1}.
1/420
Three letters picked without replacement from {p: 11, f: 2, d: 2, h: 1}. What is prob of sequence dhd?
1/1680
Two letters picked without replacement from {i: 1, e: 1, s: 3}. What is prob of sequence ss?
3/10
What is prob of sequence io when two letters picked without replacement from iyiyyyoitxyyii?
5/182
Two letters picked without replacement from bpbhbbhhp. Give prob of sequence hp.
1/12
Three letters picked without replacement from {i: 1, w: 1, j: 1, d: 1, x: 5}. Give prob of sequence dwi.
1/504
What is prob of sequence rr when two letters picked without replacement from rsssr?
1/10
Three letters picked without replacement from yyytyyyzyyyztzvv. Give prob of sequence ttv.
1/840
What is prob of sequence cs when two letters picked without replacement from {s: 1, t: 2, o: 3, c: 4, w: 3, x: 4}?
1/68
Four letters picked without replacement from {c: 1, o: 3, j: 1}. What is prob of sequence cjoo?
1/20
Calculate prob of sequence lvd when three letters picked without replacement from {l: 1, v: 4, u: 7, d: 1}.
1/429
Four letters picked without replacement from pgioj. Give prob of sequence giij.
0
Two letters picked without replacement from ceeeeceeceeeee. What is prob of sequence ee?
55/91
Calculate prob of sequence tiit when four letters picked without replacement from tttieoioto.
1/210
What is prob of sequence cr when two letters picked without replacement from rccccccrccccmc?
11/91
What is prob of sequence gfkf when four letters picked without replacement from kfggggff?
1/70
Two letters picked without replacement from {q: 18, p: 2}. Give prob of sequence pq.
9/95
Three letters picked without replacement from dndqdqnqqdnqd. What is prob of sequence dnq?
25/572
Calculate prob of sequence qxo when three letters picked without replacement from {a: 7, o: 2, g: 1, x: 3, q: 5}.
5/816
What is prob of sequence tvlw when four letters picked without replacement from {t: 4, v: 1, m: 3, w: 2, l: 1}?
1/990
Three letters picked without replacement from kgjj. Give prob of sequence jgg.
0
What is prob of sequence cq when two letters picked without replacement from qqqqqccqq?
7/36
What is prob of sequence fhff when four letters picked without replacement from {i: 2, h: 6, f: 11}?
165/2584
What is prob of sequence xxp when three letters picked without replacement from {p: 14, x: 4}?
7/204
Four letters picked without replacement from agxbbcxaw. What is prob of sequence cwax?
1/756
What is prob of sequence vyqy when four letters picked without replacement from vqyyvqvyyvvyy?
5/286
What is prob of sequence pf when two letters picked without replacement from nfpmmmnvpmn?
1/55
Three letters picked without replacement from eceeddcudeedc. What is prob of sequence eud?
5/429
Calculate prob of sequence xxy when three letters picked without replacement from {y: 1, x: 10, t: 7}.
5/272
Two letters picked without replacement from {x: 3, b: 1, f: 1, t: 11, o: 2}. What is prob of sequence bo?
1/153
What is prob of sequence yyy when three letters picked without replacement from yyuuyyyyuy?
7/24
What is prob of sequence xr when two letters picked without replacement from {x: 1, q: 1, r: 2}?
1/6
Four letters picked without replacement from mxmbiiu. What is prob of sequence mmux?
1/420
Three letters picked without replacement from {n: 2, j: 2, q: 1, k: 1, p: 1}. What is prob of sequence qpn?
1/105
Four letters picked without replacement from tttgtttggtggg. What is prob of sequence tggg?
7/143
Three letters picked without replacement from eghbgeegeyhbhh. Give prob of sequence eeg.
3/182
Three letters picked without replacement from {n: 1, j: 2, v: 11, o: 1}. What is prob of sequence onv?
11/2730
Calculate prob of sequence xxy when three letters picked without replacement from xxxyxxxyxy.
7/40
Three letters picked without replacement from xxzzz. Give prob of sequence zxx.
1/10
What is prob of sequence jrj when three letters picked without replacement from {l: 7, j: 9, r: 3}?
12/323
Four letters picked without replacement from wlshhhhlsqqc. Give prob of sequence qqsw.
1/2970
Four letters picked without replacement from {y: 1, v: 4, j: 4, b: 1, q: 1, c: 4}. Give prob of sequence yvcq.
2/4095
Calculate prob of sequence vn when two letters picked without replacement from {u: 1, g: 1, t: 3, v: 1, n: 1}.
1/42
What is prob of sequence dwky when four letters picked without replacement from kykdjnw?
1/420
What is prob of sequence uv when two letters picked without replacement from {l: 5, t: 1, y: 1, u: 1, v: 4}?
1/33
Three letters picked without replacement from uumuuudduduuddll. What is prob of sequence ulm?
1/210
Four letters picked without replacement from {e: 1, n: 2, w: 4, g: 2, z: 2, u: 1}. Give prob of sequence nenu.
1/5940
What is prob of sequence icc when three letters picked without replacement from {i: 3, c: 5}?
5/28
What is prob of sequence zrcf when four letters picked without replacement from {r: 1, c: 1, f: 7, z: 2, q: 6}?
1/4080
What is prob of sequence gt when two letters picked without replacement from {t: 2, a: 4, g: 6}?
1/11
Four letters picked without replacement from lqqqlqqqqlqqqq. Give prob of sequence lqlq.
5/182
Four letters picked without replacement from {r: 5, l: 3, k: 1, t: 3}. Give prob of sequence rkrl.
1/198
What is prob of sequence ng when two letters picked without replacement from kngbkkkbzkzk?
1/132
Four letters picked without replacement from sujuddjjdd. What is prob of sequence uuds?
1/630
Calculate prob of sequence uutu when four letters picked without replacement from tlliuulteelltulltctl.
1/3876
Calculate prob of sequence up when two letters picked without replacement from {j: 5, u: 3, p: 1}.
1/24
Three letters picked without replacement from {c: 10}. What is prob of sequence ccc?
1
Three letters picked without replacement from fxxxxhjxfhfhpjxfxp. Give prob of sequence xxx.
35/816
Two letters picked without replacement from cwbicdi. Give prob of sequence id.
1/21
Three letters picked without replacement from {f: 3, p: 2}. Give prob of sequence pff.
1/5
Two letters picked without replacement from kfkffkfkffsfk. Give prob of sequence ff.
7/26
Two letters picked without replacement from {i: 3, f: 11}. Give prob of sequence fi.
33/182
Two letters picked without replacement from {b: 7, o: 8, h: 3}. Give prob of sequence bb.
7/51
Calculate prob of sequence flfj when four letters picked without replacement from llfllfljljllllljll.
13/12240
What is prob of sequence sgcs when four letters picked without replacement from {g: 4, s: 7, c: 7}?
49/3060
What is prob of sequence jqs when three letters picked without replacement from ypesjqqy?
1/168
Three letters picked without replacement from {m: 6, q: 11, s: 1}. What is prob of sequence qms?
11/816
Three letters picked without replacement from tgvytzvytt. What is prob of sequence zvy?
1/180
Four letters picked without replacement from {c: 3, j: 1}. Give prob of sequence cjcc.
1/4
Three letters picked without replacement from nbnnnnnnnbnnn | {
"pile_set_name": "DM Mathematics"
} |
n -2371, -4735, -7093, -9445, -11791?
-14131
What is next in 1655, 3297, 4931, 6551, 8151, 9725, 11267?
12771
What is the next term in -455, -932, -1423, -1934, -2471?
-3040
What is next in 127, 247, 369, 493, 619, 747?
877
What comes next: 1107, 1393, 2169, 3681, 6175, 9897?
15093
What is the next term in 719, 1460, 2201?
2942
What is the next term in -2484082, -4968161, -7452240, -9936319, -12420398, -14904477?
-17388556
What comes next: -648150, -648148, -648146, -648144, -648142, -648140?
-648138
What is next in 44097, 44025, 43953, 43881, 43809?
43737
What is next in 62182, 124369, 186554, 248737, 310918, 373097?
435274
What is next in 1096, 809, 522, 235?
-52
What is the next term in -25395, -25131, -24867, -24603, -24339, -24075?
-23811
What is next in -3138, -6255, -9372, -12489?
-15606
What is next in -276, -2427, -8432, -20271, -39924, -69371, -110592, -165567?
-236276
What is the next term in 240, 426, 548, 606, 600?
530
What is the next term in 534647, 534643, 534635, 534623?
534607
What is the next term in 6287, 6318, 6371, 6446, 6543, 6662?
6803
What is the next term in -650, -1262, -1872, -2480?
-3086
What is next in 758, 782, 850, 986, 1214?
1558
What comes next: 115, 109, 101, 91?
79
What is the next term in -14137, -14165, -14265, -14473, -14825?
-15357
What comes next: 871748, 871741, 871732, 871721, 871708, 871693, 871676?
871657
What is next in 11405, 22908, 34411?
45914
What is the next term in 265, -42, -349, -656, -963?
-1270
What comes next: -85999, -86000, -86001, -86002, -86003, -86004?
-86005
What comes next: -3100, -3133, -3164, -3193, -3220, -3245?
-3268
What is next in -7767, -7764, -7761, -7758, -7755, -7752?
-7749
What is next in -63, -28, 9, 48, 89, 132?
177
What comes next: 2202, 17606, 59398, 140772, 274922, 475042, 754326?
1125968
What is the next term in -38969, -38880, -38791, -38702?
-38613
What is next in -624, -623, -616, -603, -584?
-559
What is the next term in -512, -422, -332, -242, -152, -62?
28
What is next in 1755, 3498, 5229, 6942, 8631, 10290, 11913?
13494
What is next in -5309, -5284, -5259, -5234, -5209?
-5184
What comes next: -42, -247, -590, -1071, -1690?
-2447
What is the next term in 103, -67, -377, -899, -1705, -2867, -4457, -6547?
-9209
What is next in 261, 352, 443?
534
What is the next term in 233, 360, 573, 872?
1257
What is the next term in -425147, -425149, -425151, -425153, -425155, -425157?
-425159
What is the next term in -8427, -8466, -8531, -8622, -8739, -8882?
-9051
What comes next: 69270, 69268, 69266, 69264, 69262, 69260?
69258
What comes next: -278613, -278615, -278617, -278619?
-278621
What comes next: -619, -1273, -1925, -2575, -3223?
-3869
What comes next: -252575, -252576, -252577, -252578, -252579, -252580?
-252581
What is the next term in -294, -1043, -2308, -4089, -6386, -9199?
-12528
What is next in 123754, 123760, 123766?
123772
What is next in 229, 933, 2107, 3751, 5865?
8449
What is next in -7104, -7563, -8022?
-8481
What comes next: -116934, -233859, -350784, -467709, -584634, -701559?
-818484
What comes next: -1066, -2138, -3204, -4258, -5294?
-6306
What is the next term in 924, 924, 922, 918, 912?
904
What is next in 338, 1334, 2976, 5252, 8150, 11658?
15764
What comes next: -94, -673, -1628, -2953, -4642, -6689?
-9088
What is next in 9382, 37531, 84446, 150127?
234574
What comes next: -4936, -9930, -14924, -19918, -24912?
-29906
What is next in 1147, 2260, 3303, 4270, 5155, 5952, 6655?
7258
What is the next term in 41, 40, 39?
38
What comes next: 318457, 318458, 318459, 318460, 318461?
318462
What is the next term in 1030, 2096, 3162, 4228, 5294, 6360?
7426
What is next in 3796, 15229, 34284, 60961, 95260?
137181
What comes next: -6793, -6830, -6893, -6982, -7097, -7238?
-7405
What is next in -59, -1401, -3639, -6773, -10803?
-15729
What is the next term in -60192, -60188, -60182, -60174?
-60164
What is the next term in 2543, 20307, 68513, 162383, 317139?
548003
What is next in -15, -38, -47, -42, -23?
10
What is next in 1120, 2171, 3222?
4273
What is the next term in -5154, -10257, -15308, -20307, -25254, -30149, -34992?
-39783
What is the next term in 161, 151, -25, -367, -875, -1549, -2389?
-3395
What is the next term in -8818, -17635, -26446, -35251, -44050, -52843?
-61630
What comes next: -120418, -120419, -120420, -120421, -120422, -120423?
-120424
What is next in -3476479, -3476471, -3476451, -3476413, -3476351?
-3476259
What comes next: -20661, -20657, -20645, -20619, -20573, -20501, -20397?
-20255
What is next in -1618413, -1618412, -1618411, -1618410, -1618409, -1618408?
-1618407
What is the next term in 887, 918, 959, 1004, 1047, 1082, 1103?
1104
What comes next: -6064, -6019, -5898, -5665, -5284, -4719, -3934, -2893?
-1560
What is next in 6, 216, 788, 1902, 3738, 6476?
10296
What comes next: -39249, -39247, -39245, -39243?
-39241
What is the next term in -14222, -14237, -14254, -14273, -14294?
-14317
What is next in 474, 1888, 4230, 7500, 11698, 16824?
22878
What is next in -851, -414, 33, 496, 981, 1494, 2041, 2628?
3261
What is the next term in -68, -276, -622, -1106, -1728, -2488?
-3386
What is the next term in -175, -501, -1149, -2287, -4083, -6705?
-10321
What is next in 498, 954, 1398, 1830, 2250, 2658, 3054?
3438
What is next in 293, 43, -367, -937, -1667, -2557?
-3607
What is next in -20528, -20523, -20516, -20507, -20496, -20483?
-20468
What comes next: -1243, -1189, -1127, -1081, -1075, -1133, -1279, -1537?
-1931
What comes next: 10008, 10011, 10006, 9987, 9948, 9883, 9786?
9651
What comes next: 109, 280, 769, 1738, 3349?
5764
What comes next: -4175, -4162, -4149, -4136, -4123?
-4110
What comes next: 9368, 9374, 9380?
9386
What comes next: 81428, 81498, 81618, 81794, 82032, 82338, 82718?
83178
What is next in -746, -1404, -2062, -2720, -3378?
-4036
What comes next: -3156, -3045, -2934?
-2823
What is next in 571, 1054, 1513, 1936, 2311, 2626, 2869?
3028
What is next in 240, 1840, 6188, 14658, 28624, 49460, 78540?
117238
What is next in 618, 4871, 16358, 38679, 75434?
130223
What is the next term in 65502, 65505, 65508, 65511, 65514, 65517?
65520
What is the next term in -2197276, -2197275, -2197274, -2197273?
-2197272
What is the next term in -200, -435, -686, -959, -1260, -1595, -1970, -2391?
-2864
What comes next: -548, -1101, -1602, -2027, -2352, -2553, -2606, -2487?
-2172
What is next in 23, 120, 303, 590, 999?
1548
What is next in 18191, 36378, 54565, 72752, 90939, 109126?
127313
What is next in 85, 469, 1503, 3511, 6817, 11745, 18619?
27763
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-142695
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-33863
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-7414
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-364548
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-1239
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27134
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528
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-368016
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-2378
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250169
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-127
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3895306
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-751
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-121437
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-8371
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187290
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-36177
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-156563
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7466
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-61830
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17040
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6183
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-1586359
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1854
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123630
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-3188
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-1077
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12351
What is the next term in 27712, | {
"pile_set_name": "DM Mathematics"
} |
(sqrt(66) + -3*sqrt(66))/sqrt(6))).
-670 + 12*sqrt(11)
Simplify 2*6*(-5*1*sqrt(98)*1 - (5 + (sqrt(98) - (0 + sqrt(98) + (sqrt(98)*2 - sqrt(98)))))).
-336*sqrt(2) - 60
Simplify ((sqrt(1584) - 2*sqrt(1584)*3) + 2 + (5 + sqrt(1584) + 2)*1 + -4)**2.
-480*sqrt(11) + 25369
Simplify 2 + (sqrt(441)/(sqrt(21)/sqrt(3)*-5))**2 + ((sqrt(336) - sqrt(21))*-2)/(sqrt(3) - (sqrt(432) + sqrt(432)*2)).
6*sqrt(7)/35 + 113/25
Simplify (-1 + (sqrt(700) + 3 + -2 + -5 - (1 + sqrt(700) + -5 + sqrt(700) + sqrt(700)*2 + -2 + sqrt(700))))**2.
-80*sqrt(7) + 11201
Simplify ((sqrt(192)*-6 - (sqrt(768) - sqrt(768)*2))*-4)/(((sqrt(2916) - sqrt(2916)*-1) + sqrt(2916) - sqrt(36))/((sqrt(150)/sqrt(5))/sqrt(5))).
32*sqrt(2)/13
Simplify -5*3*(3 + (((sqrt(425) - (1 + sqrt(425))) + sqrt(425))*5 + -4)**2*1).
-160635 + 6750*sqrt(17)
Simplify (sqrt(189)/sqrt(225) + sqrt(21))/((-2*sqrt(56))/sqrt(8)) - (sqrt(252)/(-3*sqrt(7)))/sqrt(1728).
-103*sqrt(3)/180
Simplify ((sqrt(49) - (sqrt(98)/sqrt(2) + sqrt(49)))*5)/(sqrt(252)*1 + sqrt(7)) + 5*((sqrt(700) - (sqrt(700) + -4 + sqrt(700) + sqrt(700))) + 3).
-705*sqrt(7)/7 + 35
Simplify -3 + 3 + -1*(sqrt(112) + 0)**2 + (-4 + sqrt(63) + (sqrt(28) + sqrt(28)*2)/sqrt(4))**2.
-48*sqrt(7) + 156
Simplify (2 + sqrt(2) + ((sqrt(98)*1)**2 - sqrt(98)) + sqrt(2))*-2 - ((sqrt(2) + -6*sqrt(8) - (sqrt(6)*2)/sqrt(3)) + -2).
-198 + 23*sqrt(2)
Simplify (1 + sqrt(36)/sqrt(2) + (sqrt(18) - (sqrt(90)*-1)/sqrt(5)))**2 + -3 - (-4 + ((-2*sqrt(126) + sqrt(126))/sqrt(7) - (sqrt(18) + -1 + -4))).
24*sqrt(2) + 159
Simplify (-4 + (sqrt(128) + 1 + sqrt(128) + -1 + sqrt(128) + (0 + sqrt(128))*6 - -4*(5 + (2*sqrt(128) - sqrt(128)))) + 1)**2*4.
14144*sqrt(2) + 87684
Simplify (1 + -2*(4 + (-1 + sqrt(832))*1*-2))**2 + 5.
-704*sqrt(13) + 13438
Simplify (3*sqrt(980)*-3 - sqrt(980))/(sqrt(196) + (sqrt(196)*3*6 - sqrt(196) - sqrt(196)) + sqrt(196))*-4.
20*sqrt(5)/9
Simplify -5*-4*(3*(0 + sqrt(7)) + (sqrt(70)*-2 - sqrt(70))/sqrt(10) + sqrt(56)/((sqrt(72)*3)/sqrt(9))).
20*sqrt(7)/3
Simplify ((5*(-1*sqrt(320) + sqrt(320) + 2 - (1 + sqrt(320))*-2) + 1 + 2 + -2)*2 + 2)**2.
14080*sqrt(5) + 129936
Simplify -3 + ((0 + -5*((sqrt(153) - 4*(-1 + sqrt(153) + sqrt(153))) + sqrt(153)))**2 - (-3 + 4 + sqrt(153) + 1 + 0)**2).
-3612*sqrt(17) + 137940
Simplify (1*sqrt(119)*-4 + sqrt(119) - (sqrt(119) + -2*sqrt(119)*-3))/((sqrt(567) - sqrt(567)*-3)*-4).
5*sqrt(17)/72
Simplify sqrt(3) + sqrt(12) + 3 + 0 + sqrt(18)/sqrt(6) + (1*sqrt(3024) - sqrt(3024))/(6*sqrt(28)/sqrt(4)).
3 + 4*sqrt(3)
Simplify (-2*(2*sqrt(168)*1 - sqrt(168))/sqrt(4))/(((sqrt(72) - sqrt(72)*2)/sqrt(2))/(sqrt(36)/(sqrt(6)*-2))).
-sqrt(7)
Simplify (-2*sqrt(228)*-3*-5)/(sqrt(300)*-1*1).
6*sqrt(19)
Simplify 2*-1*((sqrt(891) - (5*(sqrt(891) + 0 + sqrt(891)) - sqrt(891)) - sqrt(891)*-1*-2)**2*2 + -4).
-356392
Simplify ((sqrt(180) + 4)**2*-1 + -3 - ((-1*sqrt(600))/sqrt(10) + sqrt(60))/(2*sqrt(192))) + -3 + 1.
-201 - 48*sqrt(5)
Simplify 1 + (sqrt(176) + (sqrt(176)*-2*4)**2 - sqrt(176) - ((sqrt(176) - sqrt(176)*-2) + 5)**2) + -3 + 4 + 0.
-120*sqrt(11) + 9657
Simplify -4 + (-5 + (sqrt(605) + -1)*-2)**2 - -2*(0 + sqrt(320) + -5)*-5.
52*sqrt(5) + 2475
Simplify ((4*-1*sqrt(891))**2 - 1*sqrt(891)*5) + (5*(sqrt(891) + 0) + sqrt(891) - ((sqrt(891) - (0 + sqrt(891)))**2 + 0)).
9*sqrt(11) + 14256
Simplify ((0 + 4 + 1*(-5 + sqrt(1573) + -4))*-2*-6)**2.
-15840*sqrt(13) + 230112
Simplify (4 + sqrt(128)*1 + 5 - ((sqrt(14) - sqrt(126))*-6)/((sqrt(448) - -1*sqrt(448)) + sqrt(448)))**2 + -3.
381/2 + 135*sqrt(2)
Simplify 4 + (0 + (((sqrt(1900)*-1 + sqrt(1900))*4 - sqrt(1900) - (6*(1 + sqrt(1900)) + sqrt(1900))) + 0)**2)*-6.
-729812 - 5760*sqrt(19)
Simplify (-5*((sqrt(130)/(sqrt(90) - sqrt(10)) - (sqrt(91)/(sqrt(21)/sqrt(3)) - sqrt(13)))*-2 + 6*(((sqrt(78)*-1)/sqrt(6) - sqrt(13)) + 2)))**2.
-7800*sqrt(13) + 58525
Simplify (-4 + (-5 + (6*(0 + sqrt(75)) + (-2 + sqrt(75))*1)*-2 + -1)**2)*3.
840*sqrt(3) + 44100
Simplify ((sqrt(24)/sqrt(2))**2 + sqrt(12) + -1 - sqrt(9)/sqrt(3)*-2*-3) + ((sqrt(363) + 1)*-6*-2*4)**2.
50684*sqrt(3) + 838667
Simplify ((sqrt(156)*5*-1 - (-3*sqrt(156) + sqrt(156))*5)/((sqrt(36)*2*3)/(-2*sqrt(243))))**2.
2925
Simplify (4*sqrt(108)/sqrt(3) + (sqrt(108) - sqrt(108)*-1)/sqrt(3))/(-5*(-1*sqrt(108) + sqrt(12))*5) + -2.
-2 + 3*sqrt(3)/25
Simplify (6*-5*(sqrt(80) + 1*sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80) + -3 - 2*(sqrt(80)*-2 - sqrt(80))))**2*-6.
-52320600 + 1425600*sqrt(5)
Simplify 0 + (sqrt(684) + 4 + 5 - (sqrt(1539) + sqrt(1539) + (-3*sqrt(1539)*-2 - sqrt(1539)))**2)*2 + -4.
-150808 + 12*sqrt(19)
Simplify -4*(-1 + (sqrt(1539) - ((-2 + sqrt(1539))*2 + sqrt(1539))**2)*3)*1*5 + 0.
-13500*sqrt(19) + 832040
Simplify -6*((sqrt(891) - (1 + (sqrt(891) + sqrt(891) + -2 - sqrt(891)))) + (-2*-2*sqrt(891) - sqrt(891)) + 6*(-2 + sqrt(891)) + -2*(1 + sqrt(891)))**2.
-262968 + 9828*sqrt(11)
Simplify (4 + (sqrt(153) - sqrt(153)*-2*1) - (-5 + sqrt(153)*6 + -1))**2*3.
-540*sqrt(17) + 4431
Simplify (6*(sqrt(132)*2 - sqrt(132))*-6)/(((3*sqrt(432))/sqrt(9))/sqrt(4)).
-12*sqrt(11)
Simplify ((5*3*sqrt(171)*-3*-2)/(5*((sqrt(135)/sqrt(3))/sqrt(5) - (sqrt(45)*-1)/sqrt(5))))**2.
1539
Simplify 5 + 1 + -2*(5 + -3 + (3*(2 + sqrt(1700)))**2)*1.
-30670 - 720*sqrt(17)
Simplify 4 + ((4*(-5 + 2 + sqrt(1584) + -3) + -2)*6)**2.
-89856*sqrt(11) + 936724
Simplify 3*(((1 + -1 + sqrt(245) - sqrt(245)) + 1*2*sqrt(245) + sqrt(245))**2 - -3*2*(sqrt(245) + 0 + sqrt(245) - sqrt(245))**2)*1.
11025
Simplify (sqrt(408)/(sqrt(120)/sqrt(10)) - 4*sqrt(34)*2)/(((sqrt(30)*-1)/sqrt(3))/sqrt(5)*6).
7*sqrt(17)/6
Simplify 6*-5*6*(-4 + 6*(3*(-2 + sqrt(1008)))**2)*6.
-59015520 + 2799360*sqrt(7)
Simplify (sqrt(1620) - sqrt(1620)*2*4)**2 - (sqrt(180)*-1 + sqrt(45))*5.
15*sqrt(5) + 79380
Simplify (-4 + 5 + (4*-1*sqrt(114))/((sqrt(48)/(sqrt(32)/sqrt(4)) - sqrt(6)) + sqrt(6)) + 1 + -3)**2.
8*sqrt(19) + 305
Simplify (((sqrt(272) + -1)*4 + sqrt(272) - sqrt(272) - sqrt(272))**2 + (0 + (0 + sqrt(272))**2 - sqrt(272)) - -4*(sqrt(272)*3 + 2)) + -1.
-52*sqrt(17) + 2743
Simplify -5*((sqrt(880)*-1*-2)/(sqrt(405)*-1 + sqrt(5)*-1*-5))**2.
-220
Simplify (-3 + -1*sqrt(468) + sqrt(468) + -2 + sqrt(468) + 2 + sqrt(468))**2 - (1 + -1 + sqrt(468) + 1)**2*6.
-933 - 144*sqrt(13)
Simplify -1 + ((sqrt(162) - (sqrt(162) + -2 + sqrt(162))*-2) + sqrt(162) + -1 + 3 + 2*-2*sqrt(162) + (sqrt(162) - (5 + sqrt(162) + 0)) + 1)**2.
-216*sqrt(2) + 683
Simplify (-3*-3*-3*sqrt(500)*2*3 + -3)**2.
9720*sqrt(5) + 13122009
Simplify -1*((sqrt(35)/sqrt(180) - (1 + sqrt(7) + 4))**2 + (sqrt(28)*3 - sqrt(28)/(sqrt(4)*-1))**2).
-13423/36 - 25*sqrt(7)/3
Simplify ((sqrt(624) + 5*-2*sqrt(624))/(sqrt(1728) + sqrt(1728) + sqrt(1728)*2 + sqrt(1728) + sqrt(1728)))/(2*(-1*sqrt(108))/sqrt(3)) + 1.
sqrt(13)/48 + 1
Simplify ((-2*sqrt(1900) + -3 + -5)**2 - (1 + (2 + -2*sqrt(2736))**2))*-3 + -4.
-1248*sqrt(19) + 9851
Simplify -2*((sqrt(1008) - (-1 + sqrt(1008) + 1)) + 0)**2 + (0 + (1*sqrt(7)*2 - (sqrt(343) + -1)))*-3.
-3 + 15*sqrt(7)
Simplify (sqrt(352)/sqrt(11) - (sqrt(2) + sqrt(2) + sqrt(4)/sqrt(2) + -2)**2 - (sqrt(800) + 0))*-5.
20*sqrt(2) + 110
Simplify ((-6*(sqrt(143) + sqrt(143)*4) - (sqrt(143) - -6*2*sqrt(143)))/(4*(sqrt(99) + 2*sqrt(99))/sqrt(9)*5))**2.
24037/3600
Simplify 6*((sqrt(117) + 2 + -2)**2*6 + (sqrt(143)*2*-3 - sqrt(143))/(2*sqrt(99))).
-7*sqrt(13) + 4212
Simplify 5 + 2*(-1*sqrt(405) + 3 + sqrt(405) + 2 + (sqrt(405) - ((sqrt(405)*1 - sqrt(405)) + 0)**2 - ((sqrt(405) + sqrt(405)*1)**2 + 0)))*-6.
-108*sqrt(5) + 19385
Simplify (1*(sqrt(416)*-5 + -3*(sqrt(26)*2 + sqrt(26))))/((sqrt(98) - (sqrt(98) + sqrt(98)*1))*-6 - (sqrt(98) - -2*sqrt(98)*-2)).
-29*sqrt(13)/63
Simplify -3*(-2*sqrt(200) + sqrt(200))*4 + 5 - ((sqrt(200) + 0 + -2)*-6)**2*-3.
-4200*sqrt(2) + 22037
Simplify (-4 + ((sqrt(114)/sqrt(6)*-1 + sqrt(19) - (sqrt(19) - (-2 + (1*sqrt(19) - sqrt(19)))))*-4)**2 + -5 + -5 + 1)*3.
192*sqrt(19) + 1065
Simplify ((4*(sqrt(132) + sqrt(132)*2 - sqrt(132)))/(-3*sqrt(216)))/((sqrt(297)/sqrt(81) + sqrt(33))/(sqrt(12)*3)).
-2*sqrt(2)
Simplify (sqrt(1960) + sqrt(1960)*1 + sqrt(1960))/((sqrt(192)/sqrt(6))/sqrt(4)) + 1 + -4*sqrt(5)*-5*-6.
-99*sqrt(5) + 1
Simplify -1*(5 + 4*(sqrt(209)*-2*-6)/(2*sqrt(1331))).
-24*sqrt(19)/11 - 5
Simplify -3 + (sqrt(4900) + (sqrt(4900) - (1*sqrt(4900) + sqrt(4900))))/(sqrt(14)/sqrt(2)*5) - (4*-2*sqrt(63)/(sqrt(45)/sqrt(5)) | {
"pile_set_name": "DM Mathematics"
} |
18, -40966931, -40966944, -40966957, -40966970?
-40966983
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-703313
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620050
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3485
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13916
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-59191
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22407060
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58218
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387529
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546365
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18212
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970
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8801
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432669317
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289287
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1320332
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910833
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5301975
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-2226195
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1875
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116884
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-538796
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62947
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43129
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99600
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-5030
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167469013
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4951514
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-65935
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-2660700
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57332
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-144158640
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285887
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124149088
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-35282
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-278635
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174183803
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231512
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-5063
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764064
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238098
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-237441
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-10250
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-15067029
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5557
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-8763
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99656482
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-68262436
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95572
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33825419
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-5234
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7359
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-14711
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268025
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-25595
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-54751262
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63424
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-518531
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48675
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99281264
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-48232
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229624
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10554
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926566854
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4697
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494212
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-1509075
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-2948976
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-9130017
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33775066
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256686
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-42382
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-8570
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453379
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284784
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-319134
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6523
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-1530024
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72695
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-17756019
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-701
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-501292
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1420
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-184128974
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308969250
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-1963891
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2586
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-1717020
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-3397
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-35708902
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214631
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-85866
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13903
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49654
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-4746
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928324
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284734
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10497
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-33523985
What is next in -35808, -71473, -107164, -142881?
-178624
What is next in -186745, -373544, -560399, -747316, -934301, -1121360, -1308499, -1495724?
-1683041
What is next in 158, -717, -2626, -5569, -9546?
-14557
What is the next term in 73501, 73512, 73527, 73546, 73569?
73596
What is next in 306211159, 612422315, 918633481, 1224844663, 1531055867, 1837267099, 2143478365, 2449689671?
2755901023
What is the next term in -493, -1550, -3619, -7144, -12569, -20338?
-30895
What comes next: -6551, -13077, -19587, -26081, -32559, -39021, -45467?
-51897
What is the next term in -215740, -215690, -215606, -215488, -215336?
-215150
What is the next term in 7548, 8388, 9230, 10074, 10920?
11768
What is the next term in 86977654, 173955309, 260932964, 347910619, 434888274, 521865929?
608843584
What is the next term in 59692, 59677, 59674, 59683?
59704
What comes next: -21580, -78857, -171832, -300505?
-464876
What comes next: -49742, -49796, -49850, -49904?
-49958
What is the next term in 2200, 9303, 21130, 37681, 58956, 84955?
115678
What is the next term in 94980, 96061, 99000, 104727, 114172, 128265, | {
"pile_set_name": "DM Mathematics"
} |
m of -1515620, -3031222, -4546824?
-1515602*p - 18
What is the y'th term of 3194, 13438, 30716, 55028, 86374, 124754, 170168?
3517*y**2 - 307*y - 16
What is the z'th term of 275, 2646, 9089, 21644, 42351, 73250, 116381?
340*z**3 - 4*z**2 + 3*z - 64
What is the l'th term of -14379, -11161, -7927, -4671, -1387, 1931?
l**3 + 2*l**2 + 3205*l - 17587
What is the k'th term of -483, -1253, -2265, -3495, -4919, -6513, -8253, -10115?
4*k**3 - 145*k**2 - 363*k + 21
What is the s'th term of -22929, -92247, -207957, -370059, -578553, -833439?
-23196*s**2 + 270*s - 3
What is the o'th term of 3276812, 6553548, 9830284, 13107020, 16383756, 19660492?
3276736*o + 76
What is the k'th term of -4537, -18283, -41229, -73375, -114721?
-4600*k**2 + 54*k + 9
What is the w'th term of -11794253, -23588504, -35382755, -47177006?
-11794251*w - 2
What is the f'th term of -3239327, -3239421, -3239515?
-94*f - 3239233
What is the d'th term of 18651913, 18651911, 18651909, 18651907, 18651905, 18651903?
-2*d + 18651915
What is the p'th term of 12, 542, 1948, 4650, 9068, 15622, 24732, 36818?
70*p**3 + 18*p**2 - 14*p - 62
What is the v'th term of -3694, -4700, -5706, -6712, -7718?
-1006*v - 2688
What is the s'th term of 30779, 30669, 30537, 30377, 30183, 29949, 29669?
-s**3 - 5*s**2 - 88*s + 30873
What is the d'th term of -466603, -466587, -466561, -466525, -466479, -466423, -466357?
5*d**2 + d - 466609
What is the v'th term of -54680, -109320, -163960, -218600, -273240, -327880?
-54640*v - 40
What is the x'th term of 2632, 18919, 63128, 149221, 291160, 502907?
2327*x**3 - x**2 + x + 305
What is the u'th term of 8032, 7746, 7312, 6730?
-74*u**2 - 64*u + 8170
What is the f'th term of 4937063, 9874122, 14811173, 19748216, 24685251, 29622278?
-4*f**2 + 4937071*f - 4
What is the o'th term of 5874, 10257, 13154, 14565, 14490, 12929?
-743*o**2 + 6612*o + 5
What is the b'th term of -1046348111, -1046348112, -1046348113, -1046348114, -1046348115, -1046348116?
-b - 1046348110
What is the j'th term of -7589, -14933, -22275, -29615, -36953, -44289?
j**2 - 7347*j - 243
What is the v'th term of -12269191, -12269204, -12269217, -12269230?
-13*v - 12269178
What is the m'th term of -4133449, -8266810, -12400171, -16533532, -20666893?
-4133361*m - 88
What is the x'th term of 809, 2521, 5121, 8603, 12961?
-x**3 + 450*x**2 + 369*x - 9
What is the b'th term of -5868, -9502, -15544, -23994?
-1204*b**2 - 22*b - 4642
What is the u'th term of 701492, 2805966, 6313414, 11223830, 17537208, 25253542, 34372826, 44895054?
-u**3 + 701493*u**2 + 2*u - 2
What is the y'th term of 1804, 3561, 5386, 7279, 9240, 11269, 13366?
34*y**2 + 1655*y + 115
What is the c'th term of 57137, 114320, 171503?
57183*c - 46
What is the g'th term of 167, 1051, 3243, 7331, 13903?
98*g**3 + 66*g**2 + 3
What is the n'th term of -1830, -1830, -1766, -1584, -1230?
9*n**3 - 22*n**2 + 3*n - 1820
What is the l'th term of 7906, 15985, 24226, 32629, 41194, 49921?
81*l**2 + 7836*l - 11
What is the s'th term of 10425, 40936, 91573, 162336?
10063*s**2 + 322*s + 40
What is the z'th term of -47995, -47973, -47959, -47959, -47979, -48025, -48103, -48219?
-z**3 + 2*z**2 + 23*z - 48019
What is the c'th term of -4770, -36520, -122708, -290556, -567286, -980120, -1556280, -2322988?
-4537*c**3 + 3*c**2 - 236
What is the r'th term of -24372995, -24372996, -24372999, -24373004, -24373011?
-r**2 + 2*r - 24372996
What is the b'th term of -155800, -155794, -155786, -155776, -155764?
b**2 + 3*b - 155804
What is the i'th term of 545466, 545385, 545250, 545061?
-27*i**2 + 545493
What is the r'th term of 968, 1532, 2144, 2822, 3584, 4448, 5432?
3*r**3 + 6*r**2 + 525*r + 434
What is the d'th term of 221, 995, 2371, 4379, 7049, 10411, 14495?
5*d**3 + 271*d**2 - 74*d + 19
What is the z'th term of -408, -3523, -12124, -28953, -56752, -98263, -156228?
-457*z**3 - z**2 + 87*z - 37
What is the k'th term of -56492, -76981, -97468, -117953, -138436, -158917, -179396?
k**2 - 20492*k - 36001
What is the b'th term of 962480, 1924962, 2887442, 3849920?
-b**2 + 962485*b - 4
What is the m'th term of 62141, 63345, 64549, 65753, 66957?
1204*m + 60937
What is the p'th term of -1035443, -1035812, -1036185, -1036562, -1036943, -1037328?
-2*p**2 - 363*p - 1035078
What is the p'th term of 430, 2141, 5102, 9313, 14774?
625*p**2 - 164*p - 31
What is the x'th term of 4892, 6372, 7852?
1480*x + 3412
What is the w'th term of -429893, -1719563, -3869001, -6878207, -10747181, -15475923, -21064433?
-429884*w**2 - 18*w + 9
What is the x'th term of -1010576, -2021124, -3031662, -4042190, -5052708?
5*x**2 - 1010563*x - 18
What is the n'th term of -2531583, -2531575, -2531571, -2531571, -2531575?
-2*n**2 + 14*n - 2531595
What is the g'th term of 22901, 23360, 23791, 24188, 24545?
-g**3 - 8*g**2 + 490*g + 22420
What is the r'th term of 55431, 56930, 59429, 62928, 67427?
500*r**2 - r + 54932
What is the n'th term of -9635585, -38542351, -86720295, -154169417, -240889717, -346881195?
-9635589*n**2 + n + 3
What is the x'th term of 65355, 130669, 195981, 261291, 326599, 391905, 457209?
-x**2 + 65317*x + 39
What is the t'th term of -7249, -6340, -5431?
909*t - 8158
What is the w'th term of 1158618, 4634603, 10427912, 18538545, 28966502?
1158662*w**2 - w - 43
What is the r'th term of 11211, 46007, 103999, 185187, 289571?
11598*r**2 + 2*r - 389
What is the j'th term of 13013, 49715, 110127, 194249, 302081, 433623?
11855*j**2 + 1137*j + 21
What is the o'th term of 10722446, 10722444, 10722442, 10722440?
-2*o + 10722448
What is the l'th term of -604441, -2417638, -5439633, -9670426, -15110017, -21758406, -29615593?
-604399*l**2 - 42
What is the c'th term of 22745, 86828, 193633, 343160, 535409, 770380?
21361*c**2 + 1384
What is the g'th term of -4385, -4916, -5457, -6008, -6569, -7140?
-5*g**2 - 516*g - 3864
What is the n'th term of -416420, -415203, -413986, -412769, -411552, -410335?
1217*n - 417637
What is the d'th term of 418, 175, -480, -1751, -3842?
-34*d**3 - 2*d**2 + d + 453
What is the l'th term of 697470, 697304, 697138, 696972?
-166*l + 697636
What is the r'th term of 109037, 221101, 333165, 445229?
112064*r - 3027
What is the d'th term of 2224227, 4448642, 6673057, 8897472, 11121887?
2224415*d - 188
What is the r'th term of -17035190, -34070357, -51105522, -68140685, -85175846, -102211005?
r**2 - 17035170*r - 21
What is the i'th term of 364469, 728904, 1093277, 1457558, 1821717, 2185724, 2549549, 2913162?
-5*i**3 - i**2 + 364473*i + 2
What is the j'th term of 2026823, 4053661, 6080499, 8107337?
2026838*j - 15
What is the c'th term of -1421348, -2842738, -4264134, -5685536, -7106944?
-3*c**2 - 1421381*c + 36
What is the l'th term of -127313, -254643, -381991, -509357, -636741?
-9*l**2 - 127303*l - 1
What is the r'th term of -9892, -15308, -20726, -26146, -31568?
-r**2 - 5413*r - 4478
What is the z'th term of -1526202610, -1526202611, -1526202612, -1526202613, -1526202614?
-z - 1526202609
What is the g'th term of -7343, -7183, -6999, -6785, -6535, -6243?
g**3 + 6*g**2 + 135*g - 7485
What is the y'th term of -52567, -210278, -473127, -841114?
-52569*y**2 - 4*y + 6
What is the x'th term of -618761, -618757, -618761, -618773, -618793?
-4*x**2 + 16*x - 618773
What is the r'th term of -43556, -174261, -392084, -697025?
-43559*r**2 - 28*r + 31
What is the v'th term of -1524, -1543, -1524, -1461, -1348, -1179?
v**3 + 13*v**2 - 65*v - 1473
What is the v'th term of 2153, 2392, 2727, 3206, 3877, 4788?
8*v**3 + 183*v + 1962
What is the o'th term of -10992, -50752, -117022, -209802, -329092, -474892, -647202?
-13255*o**2 + 5*o + 2258
What is the u'th term of 3137, 12462, 27991, 49724, 77661?
3102*u**2 + 19*u + 16
What is the o'th term of 343455098, 343455107, 343455118, 343455131, 343455146, 343455163?
o**2 + 6*o + 343455091
What is the y'th term of -777864, -777845, -777816, -777777, -777728, -777669?
5*y**2 + 4*y - 777873
What is the n'th term of 28514, 53554, 78594, 103634?
25040*n + 3474
What is the n'th term of -87568, -87391, -87216, -87043, -86872?
-n**2 + 180*n - 87747
What is the t'th term of -1729, -4083, -7057, -10651, -14865, -19699?
-310*t**2 - 1424*t + 5
What is the k'th term of 42892, 85875, 128882, 171925, 215016, 258167?
2*k**3 + 42969*k - 79
What is the g'th term of -514, -4152, -1 | {
"pile_set_name": "DM Mathematics"
} |
mber?
True
Let k(b) = b**3 - 7*b**2 + 8*b + 6. Let v be k(6). Suppose 3*r - 4*r = -v. Is 4622/r + (-26)/(-117) a composite number?
False
Let k(l) = -8*l**3 + 7*l**2 - 14*l + 10. Let m(j) = -23*j**3 + 21*j**2 - 42*j + 29. Let n(r) = 11*k(r) - 4*m(r). Is n(7) a prime number?
False
Suppose u - 86811 = -7*b + 8*b, 5*b = u - 86819. Is u prime?
False
Let z = 45657 - 4304. Is z a composite number?
True
Let y = -12158 - -19479. Is y a composite number?
False
Let b(x) = -5*x + 66. Let j be b(13). Is (64 - 65)/(1/(-233)*j) prime?
True
Suppose 2*n - 222 - 200 = 0. Suppose 3*c - 3223 = -2*a, 5*c - 5159 = -3*a + n. Let s = 1828 - c. Is s a prime number?
True
Suppose 26125 + 12081 = 2*c. Is c composite?
True
Let o = 18 + -12. Suppose -5*v + o*v - 5 = 0. Suppose -v*m = -2*k - 124, -3*m - 2*k = -4*k - 72. Is m composite?
True
Suppose -18*k + 3*k = -106815. Is k composite?
False
Let y(n) = 236*n**2 - 3*n - 7. Let v(d) = d**2 - d. Let w(h) = 2*v(h) + y(h). Is w(-2) composite?
True
Suppose 0 = 7*u + 810 - 15083. Is u composite?
False
Suppose -3*h = -32*h + 387643. Is h a prime number?
True
Is (48210/(-90))/((-1)/30*2) composite?
True
Let h = 3956 - 443. Is h composite?
True
Let f = -13 + 15. Suppose 3*y - 2395 = -f*y. Is y a prime number?
True
Let u(c) = -c**3 + 7*c**2 + 1. Let o be (-3)/(-9) + 34/6. Let k be u(o). Suppose 2*z = -4*p + 32 + 42, p = z - k. Is z composite?
False
Suppose -3*k + 10 = h - 6, -3*k - 8 = -5*h. Is h/(-22) + 16473/33 a prime number?
True
Let i(o) = 5969*o**2 - 4*o + 5. Is i(-2) a prime number?
False
Suppose 0 = -5*b + 2696 + 4109. Is b a composite number?
False
Let j be (-1)/3 - (-7810)/(-15). Let b = -284 - j. Is b a composite number?
True
Let f be -3 + 2*1772/8. Let h = 849 - f. Is h prime?
True
Suppose 2*l = -0*l. Suppose 20 = -i - 5*c, -4*i - 3*c - c - 16 = l. Suppose -g + b + 140 = 0, -5*b - 136 = -g - i*g. Is g a composite number?
True
Let k(z) = -162*z + 42319. Is k(0) a composite number?
True
Let p = 46 + -49. Is (958/1)/(p - -5) a composite number?
False
Let v(d) = 167*d - 3 + 223*d - 79*d. Let j be v(2). Suppose -5*k + 3059 = 2*l, -2*l - j = -4*k + 3*k. Is k a prime number?
True
Let u(h) = -2 + 88*h - 4 + 1 - 345*h. Is u(-2) a prime number?
True
Is 6/(-8) - (-5551328)/128 a composite number?
True
Is (14110/5 + 1)/3 composite?
False
Suppose 0 = 4*w - 222*m + 226*m - 49752, 0 = 5*w - 3*m - 62198. Is w composite?
True
Let c(k) = 11*k**2 - 24*k + 60. Is c(-13) a composite number?
True
Suppose 5*f - 13 = 2. Let z = 69 - 87. Is ((-182)/f)/(12/z) prime?
False
Let h = -27 - -18. Let w = 11 + h. Suppose -5*k + 5*c = -3260, k + 3*c + 650 = w*k. Is k prime?
True
Suppose p + 4*q - 2241 = 0, 2*q + 3*q - 6716 = -3*p. Is p a composite number?
False
Suppose 0 = 5*o + 2*k + 6, 2*k = 4*o + 2 - 8. Suppose 1827 = 5*h - o*h - i, -1093 = -3*h - i. Is h a prime number?
False
Let b(c) = 7*c**2 - 6*c - 77. Is b(38) composite?
False
Let y(h) = 6*h**3 - h**2 - 4*h + 1. Let w be y(5). Suppose 6*n + w = 8*n. Is n composite?
False
Let x(j) = 223*j + 56. Suppose -3*c = -0*m - 5*m - 20, 5*m = 4*c - 25. Is x(c) composite?
False
Suppose -2*a = -4, 3*p - 5*a + 2005 = 15072. Is p composite?
True
Is (1/(-2))/((-510442)/36460 + 14) prime?
False
Is (-3)/(81356/(-81323) - -1) composite?
False
Let d(o) = 25*o - 7. Let a(v) = -4*v + 9. Let p(x) = -17*x + 35. Let u(h) = -9*a(h) + 2*p(h). Let i be u(8). Is d(i) composite?
True
Let t(i) = i**2 - 5*i - 3. Let r be t(6). Let m(k) = 19*k - 2 - 1 - 4 + r. Is m(5) a composite number?
True
Let r(b) = -3*b**3 - 3*b**2 - b - 4. Let i(m) = -m**3 - 4*m**2 + 4*m + 3. Let f be i(-5). Suppose 0 = 4*n - 5*p - f, 2*p + 2 = n - 3. Is r(n) prime?
True
Let i = -3339 + 10894. Is i a prime number?
False
Let r = 2181 - 1108. Is r prime?
False
Let f(c) = 86*c**2 - 22*c + 31. Is f(11) composite?
True
Let f(g) = -g**3 - 7*g**2 - 8*g - 9. Let w be f(-6). Suppose w*a - a + 8 = 0. Is -5*(888/15)/a a composite number?
True
Let z(d) = 20*d**2 - 22*d + 21. Is z(10) composite?
False
Is (-105)/14*1842/(-9) composite?
True
Let i(w) = -18*w**2 + 12*w + 7. Let n(c) = -17*c**2 + 11*c + 6. Let t(a) = 2*i(a) - 3*n(a). Let j(o) be the first derivative of t(o). Is j(4) composite?
True
Suppose -5476 - 2394 = -2*j. Is j a composite number?
True
Let m = 17 + -12. Suppose -4 - m = 3*b. Let a = 18 + b. Is a a prime number?
False
Let w = 8 + -6. Let d(z) = 97*z**2 - 6*z - 7. Let i be d(-2). Suppose -w*l = -289 - i. Is l a prime number?
False
Is -4 + (72132/4 - 8) prime?
False
Suppose -4*c - 2*q - 3*q = -2405, 0 = 4*c + 3*q - 2411. Let u = c + 114. Is u composite?
False
Let f(o) = 30*o + 163. Let t be f(-11). Let y = -862 + 1328. Let m = t + y. Is m composite?
True
Let n(u) = 45*u - 10. Let x be n(-2). Let y = -163 + 106. Let d = y - x. Is d a prime number?
True
Suppose 7*t - 17586 = 16931. Is t a composite number?
False
Let i = 748 - -129. Is i a composite number?
False
Suppose -4*f + m + 19384 = 0, -5*f + 112*m - 117*m = -24255. Is f composite?
True
Suppose 35*x + 50 = 30*x. Let j = 99 + x. Is j a composite number?
False
Let d = -513 + 796. Suppose -5*i = -3899 + 1429. Let p = i - d. Is p prime?
True
Let b(l) = -38*l - 3. Let u(m) = -39*m - 4. Let x(j) = 2*b(j) - 3*u(j). Let i(c) = 40*c + 5. Let g(q) = -4*i(q) + 5*x(q). Is g(5) a prime number?
False
Suppose -757812 - 78405 = -27*w. Is w a composite number?
False
Let h(z) = 3226*z**2 - 1. Let d be h(1). Suppose -2*g - 5*j + d = 0, -5*g = -4*j + 3129 - 11208. Suppose 5*i = 2340 + g. Is i a prime number?
False
Let w(r) = 1 + r**3 - 3 + 6*r - 3. Let g be 7 + (-3 - 0) + 2. Is w(g) prime?
False
Suppose 2*g - 51947 = -2913. Is g composite?
False
Is (-30 + 31)/((-2)/(-102614)) composite?
False
Let p be 2/5 - 423/(-5). Let b = p + -139. Let j = b - -123. Is j composite?
True
Suppose 45*a - 49*a = -12652. Is a a prime number?
True
Let f(k) = 160*k - 2. Let v be f(1). Let b = -31 + v. Is b a composite number?
False
Let m = 19912 - 8354. Is m a prime number?
False
Let i be 32 + (2 - 2 - -3). Let m(a) = 6 + 3*a + 4*a**2 + 2*a - 3 + i*a**2. Is m(-2) a prime number?
True
Suppose 8*f - 12*f = -188. Let i = f + 260. Is i prime?
True
Let w = 36578 - 7547. Is w prime?
False
Suppose -4660 = -u + s + 2406, -5*s + 28291 = 4*u. Is u prime?
True
Suppose 5*o + 3*m = 27964, 0 = -4*o + 9*o + 5*m - 27970. Is o a prime number?
True
Suppose 2*x = -4*u + 32, -x = 2*x + 6. Suppose u*y = 11*y - 338. Is y composite?
True
Suppose 4*z = -0*p - p + 25, -3*z - 10 = -5*p. Let s be (p + -3)*(1 - 0). Suppose 0 = s*a - 0*a - 94. Is a prime?
True
Suppose -42*x - 130038 = -619968. Is x prime?
False
Let n(v) = 4*v**2 + 1. Let c be n(1). Let s(m) = c - 4 + 5*m + 78*m**2 - 3*m. Is s(-2) prime?
False
Let l(j) = -15012*j - 161. Is l(-1) a composite number?
False
Let u = 6152 - 3733. Is u prime?
False
Let a = 64125 + -37168. Is a prime?
False
Let u = -1354 + 3503. Is u a composite number?
True
Suppose 8*p - b - 3161 = 4*p, -3181 = -4*p + 5*b. Is p a prime number?
False
Let o(l) be the third derivative of -3*l**4/2 - 5*l**3/6 - 8*l**2. Let q = -10 - -4. Is o(q) prime?
True
Let s = 5454 + -2345. Is s composite?
False
Let c = -10 + 12. Suppose -c*x - 4*i + 294 = 0, -2*x + 197 = -4*i - 105. Is x a composite number?
False
Let m(q) = 2*q**2 + q - 76. Is m(27) a composite number?
False
Let c(l) be the first derivative of -l**3/3 + 9*l**2 + 19*l + 4. Is c(16) a composite number?
True
Let w be (18/12)/(6/(-8)). Let m be (135/(-4))/(w/8). Suppose 3*t + 328 = 5*j - m, 2*j = 5*t + 170. Is j composite?
True
Let r = -21 + 24. Let y(q) = q**r - 5*q**2 + q**2 - 3*q + 1 - 8. Is y(7) prime?
False
Let z be 0*2*(-2)/(-8). Let b(m) = m + 979. Is b(z) composite?
True
Let k = -10823 - -23620. Is k a prime number?
False
Let h be 40 + 0*5/(-30). Suppose 0 = h*f - 44*f + 1436. Is f a composite number?
False
Suppose 20 = -5*d + 4*h - 12, -h = 2*d + 5. Is (-4)/8*d + 1060/4 composite?
True
Suppose -4*l + 8*f + 851 = 3*f, 0 = -2*l - 3*f + 409. Let p = 414 - l. Is p prime?
False
Let r(k) = 936*k**3 + 6*k**2 - 2*k - 9. Is r(2) prime?
True
Let g(p) = 48*p**2 - 154*p + 97. Is g(24) prime?
True
Suppose 8572 - 1852 = -12*m. Is (-25)/5 + 2 - m prime?
True
Let m(b) = -407*b + 58. Is m(-8) composite?
True
Let b(p) be the third derivative of p**6/120 - 7*p**5/30 + 17*p**4/24 + 9*p**3/2 - 26*p**2. Is | {
"pile_set_name": "DM Mathematics"
} |
33497/84 - -99210. Calculate the common denominator of -113/28 and u.
84
What is the common denominator of -4 - ((-22)/32 - -3) and -33/16?
16
Let r = 64/491 + 25514/37807. What is the common denominator of r and -3/44?
308
Let l(y) = 21*y**2 + 4*y - 4. What is the lowest common multiple of l(1) and 63?
63
Suppose v + 4*p - 10 = 0, 9*v = 4*v + 5*p. Calculate the lowest common multiple of v and 9.
18
Let c = 5577 + -267685/48. What is the common denominator of -19/2 and c?
48
Suppose g = 5*g - 2*l - 86, g + 4*l - 17 = 0. What is the lowest common multiple of g and 147?
147
Find the common denominator of 94/75 and 0 + 358/120 + (-3)/(-5).
300
Let d = -2443/38 - -127639/2090. Let v = d + 51/22. What is the common denominator of (-1)/2 + (-88)/(-10) and v?
10
Calculate the smallest common multiple of (16/12)/(1/3) and (462/(-63))/(2/(-6)).
44
Calculate the common denominator of (-364)/(-24) - (-2)/4 and 10/2 + (279/27 - 10).
3
Let m = -18667463/32484 - 3/10828. Let c = -2893837960/4981809 + 1/1423374. Let o = m - c. Calculate the common denominator of o and 117/14.
14
Suppose -n - 2 + 14 = 0. What is the least common multiple of n and 14 - -1 - (3 + 0/4)?
12
Suppose 14 + 16 = 3*u - 3*y, -4*u - 2*y = -10. Suppose -u*l + 32 = -l. What is the least common multiple of l and 6?
24
Let k be 80/12*(-444)/(-10). What is the common denominator of -4 - 0 - (-22)/3 and k/(-3)*(-4)/(-16)?
3
Let l = 105 + -87. What is the least common multiple of 22 and 5/5 + l + -1?
198
Let b(k) = -4*k + 4. Let q(x) = -26 + 15 + 2*x + 32. Let d be q(-12). Calculate the least common multiple of b(d) and 16.
16
Let i be (-2670783)/891789 - -3*1. Let g = 3659296941/753858968 + i. Let m = -5/317 - g. What is the common denominator of m and 79/6?
24
Let c(j) = 13*j - 14. Let s be c(1). Let o = -5295/8 + 666. Find the common denominator of o and s + (-21)/(-27) - 125/(-36).
8
Calculate the common denominator of -3 - 266/3*42/(-896) and -43/64.
64
Let n = -16155 + 24196. Let d = n - 176931/22. What is the common denominator of 23/22 and d?
22
Suppose 5*m = -2*h + 98 + 116, -5*m + 205 = 5*h. What is the smallest common multiple of 2 and m?
44
Let i(p) = 24*p - 16*p - 14 - 20*p. What is the least common multiple of 10 and i(-5)?
230
Suppose 5*y - 55 = -5*q, 5*q + y - 63 = -0*y. Let i = 28 - 17. Calculate the smallest common multiple of i and q.
143
Suppose 4*j = 2*x + 104, x + 1 = -3. Let z = j - 26. Let k = 18 + z. What is the least common multiple of k and 80?
80
Let a(w) = -16*w - 5. Let v = 10 - 9. Calculate the common denominator of -57/7 and a(v).
7
Let y be 1/2*268/(-1). Suppose -7*q - 72 = -11*q. What is the common denominator of y/q - (-16)/4 and 65/4?
36
Let g = -660 + 680. Calculate the lowest common multiple of (2/(-3))/(2/(-72)) and g.
120
Let r be 14/53179 - 0/2. Let f = 539339/182328 + r. Find the common denominator of f and 71/4.
24
Find the common denominator of 11/9 and (-16)/(-24)*((-130)/(-15) + -4).
9
Let j be 4/10 - 92941/40. Let w = 2327 + j. Calculate the common denominator of 10/17 and w.
136
Find the common denominator of -6 + 2*((-51)/(-24) + 4) and -89/12.
12
Let y(h) = 2*h - 39. Let z be y(23). Let w(r) = -r + 6. Let d be w(6). Suppose d = 3*l - 9, -5*l + 1 + z = -s. What is the lowest common multiple of 11 and s?
77
Let k be (3/(-855))/((-2)/(-12)*-298). Let a = 150037/84930 + k. Calculate the common denominator of 119/6 and a.
30
Calculate the common denominator of 16/(-52)*19/2 and 6 - 596/36 - -5*1.
117
Suppose -7*s - 5430 = -2*s. Let i = s + 15231/14. Find the common denominator of i and -39/22.
154
Let a = -2099/5 - -17147/40. Calculate the common denominator of a and (-2)/(-3)*(-207)/48.
8
Let l = -453441/22 - -20615. What is the common denominator of -7/10 and l?
110
Let n(p) = 582*p. Let m be n(2). Calculate the common denominator of (m/(-128))/((-6)/(-4)) and 335/(-2)*(-10)/50.
16
Let y = 1411/4 + -333. Find the common denominator of y and (-207)/(-10) + (-2)/10.
4
Let k = 51 + -96. What is the common denominator of 257/k + ((-28)/(-5) - 5) and -1/24?
72
Let t(r) = r**3 + 4*r**2 + 2*r + 2. Let o be t(-4). Suppose -91*x + 93*x = 12. What is the smallest common multiple of x and 50/6 - (-2)/o?
24
Suppose -57 - 129 = -6*d. What is the least common multiple of d and 4?
124
Let v be (-1)/(4*3/24). What is the common denominator of -21/10 and (-1377)/(-90)*v/(-6)?
10
Let k(c) = 29 + 2*c - 32 + 6*c. Let p be k(3). Calculate the common denominator of ((-3)/2)/(p/96) and 6.
7
Let p(t) = -2*t**2 + 3*t - 6. Let z(q) = 5*q**2 - 9*q + 18. Let m(f) = -8*p(f) - 3*z(f). What is the smallest common multiple of 6 and m(-5)?
12
Let i(r) = r**3 - 5*r**2 - 2*r - 20. What is the lowest common multiple of 980 and i(6)?
980
Suppose -3 - 5 = 2*i. Calculate the common denominator of i/(-16) - 226/(-88) and 36/7.
77
Let t be (1 + 8/(-6))/((-7)/105). Let x = 11 - 9. Calculate the smallest common multiple of x and (t + (-28)/6)*(7 - 1).
2
Let t = 44308099/208 - 2819970/13. Let o = -3903 - t. Let p = 196995/14 + -14078. Calculate the common denominator of p and o.
112
Let z = -1378 + 1527. What is the least common multiple of 4 and z?
596
Let f = 52544/8615 + 3/3446. Find the common denominator of f and (510/64)/((-6)/4).
80
Let n(f) = -f**3 - 12*f**2 - 21*f + 2. Calculate the smallest common multiple of n(-10) and 6.
12
Suppose 5*i - 7*i = -24. Suppose 17*n + i = 19*n. Let o = 4 - -4. Calculate the lowest common multiple of o and n.
24
What is the common denominator of -87/14 and ((-6)/72 - -5) + (-2)/(-8)?
42
Let d(x) = 32*x - 1. Let o be d(1). Suppose 5*h = -u + 99, -4*h - 2*u + 47 = -o. Calculate the least common multiple of 8/3*75/10 and h.
20
Let s(h) = h**3 + 4*h**2 - 5*h + 2. Let g be s(-5). Suppose g*j - 1 = 7. Calculate the smallest common multiple of j and 11.
44
Let d = 49591613/312 + -158947. Calculate the common denominator of -61/8 and d.
312
Let m = 83 - 53. Calculate the common denominator of 57/2 and 1/(m/(-58))*(-50)/(-4).
6
Let b = 1084 - 598. What is the lowest common multiple of 5 and b?
2430
Let h be (16/(-366))/(4/42). Let l = h + -4285/366. What is the common denominator of 137/12 and l?
12
What is the least common multiple of 25 + 10/((-80)/88) and 18?
126
Suppose 0 = 5*s - 209*c + 208*c - 381, -c = 4*s - 312. What is the least common multiple of 21 and s?
231
What is the common denominator of -13/24 and 225/42 - (8/(-1))/4?
168
What is the lowest common multiple of (9/6)/((-8)/(-16)) and 4?
12
Suppose 3*w = 4*r - 53, -44 = -3*r - 6*w + 4*w. Let l = 17 - r. Suppose -l*i - 5*d = -45, -i = 3*d - 2*d - 13. Calculate the lowest common multiple of 6 and i.
30
Let y = 20 - -4. Let a = y - 6. What is the lowest common multiple of a and 4?
36
Suppose 121 = 6*z + 25. Suppose 12 = 3*a - 12. What is the smallest common multiple of z and a?
16
Let i = 6986 + -419197/60. Calculate the common denominator of -55/6 and i.
60
Let y = -12/10729 + 955961/965610. Find the common denominator of 83/378 and y.
1890
Suppose 5 - 2 = g. Suppose l = 5 - g. What is the smallest common multiple of l and 6?
6
Suppose -120 = -p - 5*p. What is the least common multiple of p and (-3)/7 - (-136)/56?
20
Let r = 1145 - 1138. Calculate the lowest common multiple of 526 and r.
3682
Let t be (3/2)/(15/40). Suppose t*z - 21 + 1 = 0. What is the common denominator of 149/12 and (178/(-16))/(z/(-20))?
12
Suppose -33*u = -26*u - 168. What is the least common multiple of u and 8?
24
Let n = -20999/42 - -1504/3. Let r = 16 - 14. What is the common denominator of n and 123/2*r/18?
42
Suppose 4*w = 2*v + 114, -w = -3*v - 2*v - 42. Suppose 26*g = w*g - 18. Calculate the smallest common multiple of g and 9.
18
Suppose -6*d = -7*d - 1290. Let p = -183577738/144171 - 2/144171. Let r = d - p. What is the common denominator of -1/3 and r?
3
Let z = -179 - -193. Suppose -2*j - 3*n + 8 = 0, 2*j = 7*j + 3*n - 20. Calculate the common denominator of ((-340)/45)/(j/6) and z.
3
Let p = -1029 + 1043. Suppose -3*m - 2*c + 4 = -6, -2*m - 3*c + 5 = 0. What is the lowest common multiple of m and p?
28
Suppose -2*n + 5*p = 3*p - 8, -2*p = 4. Suppose 0 = 3*x - 3*t + 348, -4*x - n*t = -t + 484. What is the common denominator of 59/14 and 1225/x + 6/(-9)?
56
Let r(y) = y**2 - 4*y - 4. Let x = 66 - 42. What is th | {
"pile_set_name": "DM Mathematics"
} |
Let z(w) = -44*w + 1. Let a(m) = -4*t(m) - z(m). What is the tens digit of a(3)?
1
Let v = 13 - 8. Suppose 0 = -5*k - 3*w + 14, 0 = -v*k - 0*w - 4*w + 12. Suppose -b + k*b = 57. What is the tens digit of b?
1
Suppose 11*r - 14663 = -0*r. What is the units digit of r?
3
Suppose 8*v = 5*v. Let q(u) = v*u - 2 + 4 - u**2 - 3*u. What is the units digit of q(-3)?
2
Suppose -4*c + 3412 = 4*v, -c + 152 = -2*v - 686. What is the tens digit of c?
4
Let l(r) = r**2 + 2*r + 10. Let v(j) = 2*j**3 - 4*j**2 + 2*j. Let t be v(2). What is the tens digit of l(t)?
3
Suppose 36*f - 13*f - 27209 = 0. What is the thousands digit of f?
1
Suppose 2*r = 2*s + 3072, 1530 = r + 11*s - 6*s. What is the thousands digit of r?
1
Let p be -3 + 4 - (3 + -7). Suppose -16 - 423 = -5*j + 4*g, p*g = -4*j + 384. What is the units digit of j?
1
Suppose 2*q = 3*y + 469, -300 = 2*y - 0*q + 5*q. Let l = -96 - y. Suppose -13 - l = -3*x. What is the units digit of x?
4
Suppose 4*w - 2*q = 12, 3*w + 0*q = -q - 1. Let y = w - -12. Suppose 4*h - 197 = -y. What is the units digit of h?
6
Let t(o) = -31*o - 78. What is the hundreds digit of t(-13)?
3
Suppose -167 = 5*u - 67. Suppose h + 2*q - q = -1, 11 = -5*h - 2*q. What is the units digit of (h + 0)*u/3?
0
Let s(u) = 7*u**2 - 4*u - 29. Let t be s(7). Suppose -280 = -j - 4*f, j - t = -2*f + f. What is the tens digit of j?
8
Let z(m) = 2*m**2 + 2*m - 40. What is the units digit of z(-10)?
0
Let i(a) = a - 1. Let h(t) = 15*t - 18. Let f(z) = 6*h(z) - 102*i(z). What is the tens digit of f(-10)?
1
Let n = -2092 + 2555. What is the hundreds digit of n?
4
Suppose h + 3*a = -0*h + 12, h - 4*a = 26. Suppose 0*z - 5 = z. Let w = z + h. What is the units digit of w?
3
Let u = 53 - 55. Let n(y) = -10*y**3 - 3*y**2 + 2*y + 1. What is the units digit of n(u)?
5
Suppose 3*m - 2*w = 2450, -4102 = -5*m + 2*w - 8*w. What is the hundreds digit of m?
8
Let t be 4/(-10)*(100 + -5). Suppose -i = 3*i + 108. Let k = i - t. What is the tens digit of k?
1
Let j(g) = 25*g - 20. Suppose 3*s - 4*s + n + 6 = 0, 0 = -s - 3*n + 2. What is the hundreds digit of j(s)?
1
Let q = 4 - 2. Suppose q*l - 10 = 2*g, 2*l + 12 = -4*g - 2*l. What is the units digit of 2/(-8) + (-21)/g?
5
Let u(t) = -t**3 + t + 1. Let p be u(-1). Let j be (2/6)/(p/21). Suppose -2*g + 15 = -j. What is the tens digit of g?
1
Let v(h) = h**2 - 3*h - 3. Let p(n) = -n**2 + 4*n + 4. Let i(s) = 5*p(s) + 7*v(s). Let z be i(-1). Suppose t = -z*t + 39. What is the units digit of t?
3
Let n(l) = -l**3 + 2*l**2 - l + 2. Let s be n(2). Suppose s = 4*x - 3*x - 50. Let v = x - 29. What is the tens digit of v?
2
What is the thousands digit of 3 + (-50)/18 - 111012/(-54)?
2
Suppose -16*i = -194 - 2526. What is the hundreds digit of i?
1
Let b(g) = 5*g**3 + 2*g**2 - 5*g + 6. Suppose -4*u + 22 = -2*v, -12 = -0*u + u + 3*v. What is the hundreds digit of b(u)?
1
Suppose 0 = 8*z + 4*z - 2352. Suppose 15*b - 8*b = z. What is the units digit of b?
8
Let g be (2 + -734)/(6 + 90/(-12)). Suppose g = -b + 3*b - x, -3*b - x = -742. What is the units digit of b?
6
Let n(k) = -k**3 - 7*k**2 - 7*k - 2. Let p be n(-5). Let d = 110 + p. What is the tens digit of d?
9
What is the tens digit of 12/(-54)*1 - (-6513)/27?
4
Suppose w = 287 + 264. What is the hundreds digit of w?
5
Let a be 134/10 + (-18)/45. Suppose -u + a + 5 = 2*w, u - 3*w - 8 = 0. What is the tens digit of u?
1
Suppose 0 = 4*q + u - 1267 - 474, -q + 427 = 3*u. What is the units digit of q?
6
Suppose -1651 = -6*n + n - 3*o, 0 = n + 5*o - 317. What is the units digit of n?
2
Let y = -13 - -17. Suppose -l = -5*m + 410, 6*m - 2*m = y*l + 312. What is the units digit of m?
3
What is the hundreds digit of ((-2)/(-5) - 102/30)*-149?
4
Let p = 97 - 58. Suppose -p*y = -40*y + 90. What is the tens digit of y?
9
Suppose 0 = -3*g + 3*u - 4221 + 573, u + 5 = 0. What is the tens digit of (1 - 3) + g/(-11)?
0
Suppose -5*n - 7 + 27 = 0. Suppose -4*f = -4*l + 108, 5*l + n*f - 41 = 121. What is the tens digit of l?
3
Let f(t) be the second derivative of -3*t**5/20 - 5*t**4/4 + 2*t**3/3 + 9*t**2/2 + 2*t - 4. What is the hundreds digit of f(-7)?
2
Let n = 105 - -1389. What is the units digit of n?
4
Let k(r) = -20*r + 1. Let d(j) = j + 24. Let q be d(-11). Let o = 12 - q. What is the units digit of k(o)?
1
Suppose 2*o - 8 = 2. Let j(s) = 3*s + 6. Let d(v) = 1. Let h(g) = o*d(g) - j(g). What is the units digit of h(-5)?
4
Suppose 2 = v - 0. Suppose -v*m + 5 = 1. Suppose 0*l + l = -5*g + 6, -4*l + m*g + 134 = 0. What is the units digit of l?
1
Let v(q) = 2*q**2 - 27*q - 13. Let o(k) = k**2 - 13*k - 6. Let h(y) = -13*o(y) + 6*v(y). Suppose -27*c + 32*c - 25 = 0. What is the tens digit of h(c)?
1
Let f(h) = -h**3 + 47*h**2 - 12*h - 109. What is the units digit of f(46)?
5
Let w(j) = j**3 + 26*j**2 + 19*j + 31. What is the tens digit of w(-24)?
2
Suppose 7*h - 35 = 546. Suppose -u - 3*i = -3*u + 161, i = u - h. What is the tens digit of u?
8
Let m(z) = 4*z**3 - 11*z**2 + 2*z. Let f(n) = -3*n**3 + 11*n**2 - n + 1. Let i(c) = 3*f(c) + 2*m(c). What is the units digit of i(10)?
3
Let n(l) = l**3 + 4*l**2 - 2*l - 5. Let g = -39 + 63. Suppose -5*b - 20 = 5*x + 15, -4*b - g = 3*x. What is the units digit of n(x)?
3
Suppose 4*j + 7 = 3*y, 2 + 12 = -2*y - 2*j. Let k be y/5 - (-74)/(-10). Let m = 1 - k. What is the units digit of m?
9
Let c(h) = 28*h**2. Let x = 19 + -15. Suppose 5 = 4*p - x*j - 3, -10 = -2*p + 4*j. What is the units digit of c(p)?
8
Let y = 15 + -24. What is the units digit of 1 - y/((-18)/(-4))?
3
Suppose -108 + 364 = d - 3*v, -3*v = -12. Let z = -4 + d. What is the tens digit of (z/20)/(4/10)?
3
Let d be (-1 + -2)*14/(-2)*-1. Let b = d + 104. What is the tens digit of b?
8
Let s be -16*4/(-16)*2. Let j be (s/6)/((-8)/(-12)). Let l(b) = 3*b**3 - 2*b**2 + 3*b. What is the tens digit of l(j)?
2
Suppose 5*w = -12*w + 5627. What is the units digit of w?
1
Let g be (12/10)/(6/100). What is the units digit of (g + 2)/(6/12)?
4
Suppose -12*x + 3796 = -392. What is the tens digit of x?
4
Suppose 0 = v - 5*v + 252. Suppose m + 3*u - v = 0, 0*m - m + 66 = 2*u. What is the units digit of m?
2
Suppose 3*i - 14 - 7 = 3*q, -3*i - 3*q - 9 = 0. What is the units digit of i/4 + ((-7924)/(-8))/7?
2
Let d(t) = -t**3 - 13*t**2 + 46*t + 35. What is the units digit of d(-17)?
9
Suppose 0 = -r - r + 6. Suppose 0*f = 5*u + r*f - 24, 12 = 3*u + f. Suppose -4*k + 104 = 4*j - 0*j, u*j = -2*k + 48. What is the units digit of k?
0
Suppose 0 = 2*d - 3*y + 12, 20 = -3*d + 8*y - 4*y. Let b(n) be the third derivative of n**5/60 + n**4/4 - 5*n**3/3 - 3*n**2. What is the units digit of b(d)?
2
Let x(v) = 25*v**2 - 54*v + 8. What is the tens digit of x(13)?
3
Let w = -118 + 66. Let g = w + 79. Suppose 3*j = g + 9. What is the tens digit of j?
1
Suppose -918 = -4*y + 2458. What is the tens digit of y?
4
Let g(n) = n**2 - n - 1. Let s be g(2). Let a be (-2 + s)/(1/(-52)). Let r = a - 28. What is the units digit of r?
4
Suppose 413 = 3*p + 2*a - a, p = 2*a + 147. What is the tens digit of p?
3
Let d(o) = -101*o - 2. Let y be d(-1). Let j = y + -68. Suppose q = 3*n - 8 - 24, 4*n + q = j. What is the units digit of n?
9
Let v(p) = 2*p**3 - 2*p**2 - 6*p + 9. Let g be v(2). Suppose g*h - 4*y = 42 + 65, -4*h - 3*y + 67 = 0. What is the units digit of h?
9
Let n = -273 + 442. Let w = n - 65. What is the tens digit of w?
0
Let g = 66 + -72. Let a(k) = -2*k**3 - 10*k**2 - 8*k - 5. What is the tens digit of a(g)?
1
Let r(h) = -h**2 + 10*h - 13. Let f be r(8). Suppose 2*l = f*k - 293, 4*l = 2*k - 270 + 80. What is the units digit of k?
9
Suppose 0*o + 20 = -5*o, 3*w - 2*o - 17 = 0. Suppose -d + 4 = 4*k + 12, -4*d + 25 = -w*k. Suppose -d*v + 75 = -v. What is the tens digit of v?
2
Let y = -99 - -105. Let b(z) = 22*z + 8. What is the hundreds digit of b(y)?
1
Let g(b) = -2*b + 11. Let j be g(6). Let h be j - 40 - -1 - 0. What is the tens digit of ((-360)/(-25))/((-12)/h)?
4
Let x(u) be the second derivative of -u**4/24 + 2*u**3 - 4*u**2 + u. Let o(f) be the first derivative of x(f). What is the units digit of o(-11)?
3
Let q(b) = -b**3 - b**2 + b + 4. Let w be q(0). Let s = w - -5. Suppose -s = -3*p, 0*c + 2*p - 8 = -2*c. What is the units digit of c?
1
Suppose -1311 + 15 = 8*s. What is the hundreds digit of (0 - s) + 4 + 2 + -5?
| {
"pile_set_name": "DM Mathematics"
} |
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