text
stringlengths 270
8.19k
| meta
dict |
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t is 690 minutes before 7:55 PM?
8:25 AM
How many minutes are there between 11:21 PM and 6:21 AM?
420
How many minutes are there between 12:08 PM and 2:37 PM?
149
How many minutes are there between 8:14 AM and 9:44 AM?
90
How many minutes are there between 5:19 AM and 11:57 AM?
398
What is 676 minutes before 3:14 AM?
3:58 PM
What is 292 minutes before 1:25 PM?
8:33 AM
How many minutes are there between 6:51 PM and 12:14 AM?
323
What is 289 minutes after 7:45 AM?
12:34 PM
How many minutes are there between 1:35 AM and 2:23 AM?
48
How many minutes are there between 3:47 PM and 5:55 PM?
128
How many minutes are there between 9:32 AM and 8:50 PM?
678
How many minutes are there between 12:09 AM and 7:17 AM?
428
How many minutes are there between 10:21 AM and 5:30 PM?
429
How many minutes are there between 8:20 PM and 4:03 AM?
463
How many minutes are there between 8:16 AM and 3:20 PM?
424
What is 443 minutes after 5:01 PM?
12:24 AM
How many minutes are there between 4:10 PM and 12:00 AM?
470
What is 20 minutes after 10:19 AM?
10:39 AM
How many minutes are there between 1:59 PM and 4:45 PM?
166
How many minutes are there between 5:37 AM and 4:23 PM?
646
What is 678 minutes after 12:33 PM?
11:51 PM
How many minutes are there between 4:51 PM and 12:00 AM?
429
How many minutes are there between 5:29 AM and 7:51 AM?
142
What is 418 minutes after 2:54 PM?
9:52 PM
How many minutes are there between 3:52 AM and 9:47 AM?
355
What is 678 minutes before 9:32 AM?
10:14 PM
What is 6 minutes after 1:33 AM?
1:39 AM
How many minutes are there between 3:03 AM and 7:15 AM?
252
What is 89 minutes after 10:19 AM?
11:48 AM
What is 366 minutes before 2:15 PM?
8:09 AM
What is 453 minutes after 9:29 AM?
5:02 PM
What is 341 minutes after 1:02 AM?
6:43 AM
What is 491 minutes before 1:22 PM?
5:11 AM
What is 421 minutes after 10:56 PM?
5:57 AM
How many minutes are there between 10:07 AM and 5:33 PM?
446
What is 582 minutes before 7:43 AM?
10:01 PM
How many minutes are there between 3:57 AM and 8:12 AM?
255
What is 207 minutes after 1:42 PM?
5:09 PM
How many minutes are there between 11:34 PM and 10:43 AM?
669
How many minutes are there between 11:47 AM and 2:15 PM?
148
What is 120 minutes before 10:56 PM?
8:56 PM
How many minutes are there between 2:05 AM and 3:08 AM?
63
How many minutes are there between 11:08 AM and 12:36 PM?
88
What is 646 minutes before 1:13 PM?
2:27 AM
What is 293 minutes before 11:35 AM?
6:42 AM
What is 587 minutes before 11:42 PM?
1:55 PM
How many minutes are there between 2:51 PM and 9:41 PM?
410
What is 191 minutes after 12:34 AM?
3:45 AM
What is 69 minutes after 10:01 AM?
11:10 AM
What is 458 minutes before 8:00 AM?
12:22 AM
What is 679 minutes before 4:21 AM?
5:02 PM
What is 634 minutes after 6:49 PM?
5:23 AM
What is 128 minutes before 11:48 AM?
9:40 AM
How many minutes are there between 4:31 AM and 5:11 AM?
40
What is 391 minutes after 7:09 PM?
1:40 AM
What is 130 minutes before 7:32 AM?
5:22 AM
What is 366 minutes before 11:18 AM?
5:12 AM
How many minutes are there between 2:39 PM and 2:16 AM?
697
What is 39 minutes before 10:29 PM?
9:50 PM
How many minutes are there between 10:17 AM and 6:40 PM?
503
How many minutes are there between 3:42 PM and 1:26 AM?
584
What is 459 minutes before 6:03 PM?
10:24 AM
What is 107 minutes after 6:49 PM?
8:36 PM
How many minutes are there between 9:11 PM and 8:33 AM?
682
What is 332 minutes after 6:24 AM?
11:56 AM
What is 387 minutes after 1:14 AM?
7:41 AM
How many minutes are there between 1:08 PM and 3:55 PM?
167
What is 568 minutes after 11:32 PM?
9:00 AM
How many minutes are there between 3:01 AM and 1:06 PM?
605
How many minutes are there between 10:40 PM and 1:04 AM?
144
How many minutes are there between 11:28 AM and 2:06 PM?
158
How many minutes are there between 10:26 AM and 3:39 PM?
313
What is 144 minutes before 1:18 AM?
10:54 PM
What is 172 minutes before 3:59 AM?
1:07 AM
What is 628 minutes before 9:25 AM?
10:57 PM
How many minutes are there between 10:54 AM and 12:55 PM?
121
How many minutes are there between 9:09 AM and 8:10 PM?
661
How many minutes are there between 12:55 AM and 5:46 AM?
291
How many minutes are there between 10:44 AM and 2:47 PM?
243
How many minutes are there between 11:16 PM and 8:52 AM?
576
How many minutes are there between 10:25 AM and 10:05 PM?
700
How many minutes are there between 5:04 PM and 1:26 AM?
502
What is 410 minutes after 8:58 PM?
3:48 AM
What is 676 minutes before 12:19 PM?
1:03 AM
What is 323 minutes before 3:26 AM?
10:03 PM
How many minutes are there between 5:03 PM and 2:55 AM?
592
What is 155 minutes before 6:15 AM?
3:40 AM
How many minutes are there between 8:06 AM and 7:54 PM?
708
What is 54 minutes after 3:50 AM?
4:44 AM
How many minutes are there between 1:42 AM and 2:32 AM?
50
How many minutes are there between 7:13 PM and 1:06 AM?
353
What is 102 minutes before 11:16 AM?
9:34 AM
What is 328 minutes before 10:40 PM?
5:12 PM
What is 490 minutes before 6:07 AM?
9:57 PM
What is 324 minutes after 1:11 PM?
6:35 PM
What is 373 minutes before 8:47 PM?
2:34 PM
What is 231 minutes after 8:56 PM?
12:47 AM
How many minutes are there between 11:48 PM and 2:09 AM?
141
What is 419 minutes after 6:55 PM?
1:54 AM
What is 549 minutes after 4:03 AM?
1:12 PM
How many minutes are there between 11:55 PM and 7:57 AM?
482
How many minutes are there between 6:29 AM and 2:22 PM?
473
How many minutes are there between 3:22 AM and 11:24 AM?
482
What is 54 minutes before 10:58 PM?
10:04 PM
What is 581 minutes after 7:45 AM?
5:26 PM
What is 702 minutes after 11:35 AM?
11:17 PM
What is 643 minutes after 2:16 AM?
12:59 PM
What is 115 minutes before 10:32 PM?
8:37 PM
What is 589 minutes before 5:33 AM?
7:44 PM
How many minutes are there between 2:14 AM and 6:17 AM?
243
How many minutes are there between 2:36 AM and 7:10 AM?
274
What is 11 minutes before 9:02 AM?
8:51 AM
What is 39 minutes after 10:37 AM?
11:16 AM
What is 342 minutes after 4:43 AM?
10:25 AM
What is 332 minutes before 3:31 PM?
9:59 AM
What is 353 minutes after 9:30 PM?
3:23 AM
What is 714 minutes before 8:22 AM?
8:28 PM
What is 160 minutes after 3:21 PM?
6:01 PM
What is 514 minutes after 6:52 PM?
3:26 AM
What is 679 minutes before 4:43 AM?
5:24 PM
What is 623 minutes after 5:35 PM?
3:58 AM
How many minutes are there between 8:47 PM and 2:04 AM?
317
How many minutes are there between 9:57 AM and 1:08 PM?
191
How many minutes are there between 11:29 AM and 2:24 PM?
175
What is 636 minutes before 4:17 AM?
5:41 PM
How many minutes are there between 6:53 AM and 9:22 AM?
149
What is 705 minutes after 6:09 PM?
5:54 AM
What is 277 minutes before 3:52 PM?
11:15 AM
How many minutes are there between 6:33 PM and 2:41 AM?
488
What is 444 minutes after 4:05 PM?
11:29 PM
What is 292 minutes after 2:28 PM?
7:20 PM
What is 681 minutes after 10:17 AM?
9:38 PM
How many minutes are there between 4:40 AM and 8:52 AM?
252
How many minutes are there between 11:53 PM and 8:59 AM?
546
What is 564 minutes after 10:34 AM?
7:58 PM
How many minutes are there between 9:48 AM and 11:19 AM?
91
How many minutes are there between 1:01 AM and 11:47 AM?
646
What is 402 minutes before 3:10 PM?
8:28 AM
What is 323 minutes after 9:57 AM?
3:20 PM
How many minutes are there between 12:51 PM and 1:42 PM?
51
What is 588 minutes before 4:28 AM?
6:40 PM
What is 195 minutes after 1:39 PM?
4:54 PM
How many minutes are there between 7:08 PM and 7:14 PM?
6
How many minutes are there between 3:45 PM and 3:39 AM?
714
How many minutes are there between 1:03 AM and 10:06 AM?
543
How many minutes are there between 12:35 PM and 1:25 PM?
50
How many minutes are there between 6:00 AM and 6:11 AM?
11
What is 456 minutes before 11:00 PM?
3:24 PM
What is 388 minutes after 6:53 PM?
1:21 AM
How many minutes are there between 9:28 PM and 7:52 AM?
624
What is 107 minutes after 7:51 AM?
9:38 AM
What is 445 minutes after 11:36 PM?
7:01 AM
What is 104 minutes before 9:12 PM?
7:28 PM
How many minutes are there between 3:04 AM and 3:14 AM?
10
How many minutes are there between 6:06 AM and 12:37 PM?
391
How many minutes are there between 12:09 AM and 10:05 AM?
596
How many minutes are there between 2:46 AM and 8:18 AM?
332
How many minutes are there between 8:18 PM and 6:34 AM?
616
|
{
"pile_set_name": "DM Mathematics"
}
|
inder when x(16) is divided by p.
6
Let o = -4339 - -4403. What is the remainder when 437 is divided by o?
53
Suppose j + 1516 = 4*b, -13*b + 1130 = -10*b + j. Calculate the remainder when b is divided by 366.
12
Let s(g) = 4*g**2 - 6*g + 28. Let a be s(10). Suppose -10*p - a = -18*p. What is the remainder when p is divided by 10?
6
Let d(u) = -u**2 + 4*u + 3. Let q be d(4). Suppose q*k - m = 4*m + 100, -k = -5*m - 30. Let w = -492 + 503. Calculate the remainder when k is divided by w.
2
Let r = -99 - -32. Let u = r - -140. Suppose -23 - u = -4*b. What is the remainder when 45 is divided by b?
21
Let u(g) = 3*g**2 + 201*g + 1128. What is the remainder when 2007 is divided by u(-6)?
27
Let m(x) = 2*x**2 - 102*x + 690. Calculate the remainder when m(89) is divided by 113.
109
Let i = -2308 - -2327. What is the remainder when 5337 is divided by i?
17
Let f(o) = 24*o**2 - 1. Let r be f(1). Let b = r + -14. Let i = -2241 - -2293. What is the remainder when i is divided by b?
7
Suppose 4*b = 2*p + 378, -5*p - 567 = -2*p + 4*b. Suppose -36*g + 279 = -27*g. What is the remainder when g is divided by (-4)/3*p/14?
13
Let j(u) = u + 71. What is the remainder when 2183 is divided by j(-19)?
51
Let x(w) = -1105*w + 6755. What is the remainder when 4624 is divided by x(6)?
124
Suppose 76*a = 73*a + 123. What is the remainder when 320 is divided by a?
33
Suppose 4*s - 44*d - 1001 = -43*d, 5*d - 971 = -4*s. What is the remainder when s is divided by 212?
37
Let a(m) = 1 - 2*m + 96*m**2 - 100*m**2 - m**3 - 5. Let g be a(-4). Calculate the remainder when 4 - g - -37 - 4 is divided by 9.
6
Let t(i) be the third derivative of i**6/120 - i**5/4 + 5*i**4/12 + 61*i**3/6 + i**2 + 35. What is the remainder when 52 is divided by t(14)?
2
Let d(z) = 616*z - 2832. Calculate the remainder when d(5) is divided by 64.
56
What is the remainder when (10 - (-522)/(-45))*-1315 is divided by 62?
58
Let s(x) be the second derivative of x**3 - 9*x**2/2 - 7*x + 81. Suppose 6 = 2*z - 2. What is the remainder when 41 is divided by s(z)?
11
Suppose -5*u + 24 = u. Suppose -3*g + 245 = -u*q, -277 = -3*g - q - 3*q. Suppose g = 3*w - 60. What is the remainder when w is divided by 25?
24
Let x(f) be the second derivative of f**5/10 - 19*f**4/4 + 14*f**3/3 + 9*f**2 - 14*f. Calculate the remainder when 66 is divided by x(28).
12
Let z = 841 - 354. Calculate the remainder when z is divided by 19.
12
Suppose n + 40 = 5*k + 2*n, 2*n = 5*k - 25. Suppose k*l = 10*l + 51. Let w(f) = f**2 + 16*f + 10. What is the remainder when w(l) is divided by 6?
3
Suppose -12*j + 16*j + 248 = 0. Let r = 11 + j. Let v = -22 - r. What is the remainder when 84 is divided by v?
26
Suppose 0 = -18*h + 19*h - 4*g - 60, 2*h - 3*g = 95. What is the remainder when 4/6*-3 - -200 is divided by h?
38
Let w = -14 - -98. Let r = 88 - w. Calculate the remainder when 21*3 + (-16)/r + 4 is divided by 22.
19
Suppose 0 = -12*g + 3*g + 162. Suppose -40 = 14*i - g*i. Suppose -4*b - 13 + i = 5*l, 0 = 5*b + 5*l. What is the remainder when 9 is divided by b?
0
Let j(n) = n - 6. Let c(y) = -y + 7. Let z(r) = 3*c(r) + 2*j(r). Let i be z(6). Suppose -8*d + i*d = -120. Calculate the remainder when 90 is divided by d.
18
Suppose 1147*c + 388 - 1837 = 1078*c. Calculate the remainder when 334 is divided by c.
19
Suppose -2*s = 5*w + 115, -w - 65 = 2*s - 6*w. Let g = s + 49. Suppose 0 = -2*a, -4*a - a + 360 = g*h. What is the remainder when h is divided by 23?
21
Let x be 0 - (-2)/2*-1. Let a = x + 5. What is the remainder when 117 is divided by (130/(-13))/((-1)/a)?
37
Suppose -5*x + 1 = 11. Let b(w) = -10*w - 74 + 5*w + 71 - 9*w. What is the remainder when 95 is divided by b(x)?
20
Suppose 3*q + 1422 = 5*o, 10*o = q + 6*o + 481. Let n = q - -511. Calculate the remainder when n is divided by 44/8*(3 + -1).
9
Let l(r) = 1. Let k(m) = m**2 + 4*m - 7. Let i(j) = k(j) + 4*l(j). What is the remainder when 64 is divided by i(-6)?
1
Suppose 6012 = 3*o + 5*b + 2117, 3*o - 3903 = 3*b. What is the remainder when o is divided by 6?
4
Suppose 87*g - 91*g - 60 = 0. Let k(c) be the third derivative of c**5/60 + 5*c**4/8 + 25*c**3/6 - 33*c**2. What is the remainder when k(g) is divided by 15?
10
Suppose r + 4*y = 26, -72*y + 77*y = -25. Calculate the remainder when 2206 is divided by r.
44
Let c = 655 + -603. What is the remainder when (408/9)/(c/12 - 4) is divided by 20?
16
Let n = 8 - -6. Calculate the remainder when n is divided by -26 + 46 - (3 - -3).
0
Suppose 2 = -0*x + x. Let k(g) = 2*g**3 - 4*g**2 + 4*g - 3. Suppose 0 = 480*r - 465*r - 360. What is the remainder when r is divided by k(x)?
4
Let j(o) = -o**2 - 24*o + 39. Let r be j(-38). Let h = -461 - r. Calculate the remainder when h is divided by 9.
5
Suppose -2*b - d + 35 = b, -4*d = -b - 10. Let g be (-4)/b + (-1804)/(-110). Suppose g*h - 108 = 10*h. What is the remainder when 49 is divided by h?
13
Let k be 4/(-3)*(-7)/((-28)/12). Let h be 4 - 0*(k - -5). Suppose 0 = -h*r + 13 + 47. What is the remainder when 87 is divided by r?
12
Let j(r) be the first derivative of 2*r**3/3 - 31*r**2/2 - 17*r + 34. Calculate the remainder when j(17) is divided by 18.
16
Suppose 26*u - 6050 = 2393 - 1137. Calculate the remainder when u is divided by 71.
68
Let t = -392 + 395. Suppose 3*g - 7*g + 96 = t*o, -5*o + g = -183. What is the remainder when 143 is divided by o?
35
Let r be (-2 - 16)*(-2)/6. Calculate the remainder when 262 is divided by 36/r + -5 + 11.
10
Let a be (7 + 1)*9/((-54)/(-15)). Suppose 8*r - a = 60. Calculate the remainder when 34 is divided by r.
4
Let r(b) = b**3 + 11*b**2 - 4*b - 16. Suppose 6*t + 4*t - 190 = 0. Suppose t*m - 200 = -6*m. What is the remainder when r(-11) is divided by m?
4
Let g(d) = -d**3 - 16*d**2 - 17*d - 25. Let n(f) = f**2 + 11*f + 13. Let u be n(-4). What is the remainder when 43 is divided by g(u)?
3
Let s = -211 - -304. Suppose -4*r + 99 = -37. What is the remainder when s is divided by r?
25
Calculate the remainder when 1351 is divided by (-8 + -18)*(-1 - (-22)/(-4)).
168
Let y(x) = x**3 + 13*x**2 + 26*x - 69. What is the remainder when y(-6) is divided by 20?
7
Let o be (1406/296)/((-2)/(-16)). Let a = o + -11. What is the remainder when 401 is divided by a?
23
Suppose 41*z - 3718 = 19*z. Calculate the remainder when 30925 is divided by z.
167
Suppose 5*u - 11 - 9 = 0. Let m = -33 + 37. Suppose 5*s + 3*w - 42 = 0, 0 = 4*s - w + m*w - 36. What is the remainder when s is divided by u?
2
Let o = 301 - 73. Suppose -130*i = -134*i + o. Calculate the remainder when 108 is divided by i.
51
What is the remainder when ((-18732)/60 + 11)*-5 is divided by 304?
290
Suppose 369*m = 381*m - 3032 + 632. Suppose 2 = -4*a + 118. Calculate the remainder when m is divided by a.
26
Let i(a) = 183*a**2 - 17*a - 1. Let z be i(-3). Let m = 2624 - z. Calculate the remainder when m is divided by 32.
31
What is the remainder when 10/(-6) - 116137/(-987) is divided by 115?
1
Suppose -2*b - q - 44 = -142, -2*q - 126 = -3*b. What is the remainder when 2299 is divided by b?
45
Suppose -4*g = -5*d + 278 + 38, -d + 2*g + 68 = 0. Calculate the remainder when d is divided by 31.
29
Let z be -480*(8 - (-90)/(-12)). Calculate the remainder when 114 is divided by (2/(-3))/(4/z).
34
Let r(k) = -19*k - 57. Suppose -n - 18 = -7. What is the remainder when r(n) is divided by 14?
12
Let o = -2856 + 2891. Calculate the remainder when 239 is divided by o.
29
Suppose -46*u + 39*u = -28. Suppose 0 = 3*c - 6*c + u*s + 180, 240 = 4*c - 2*s. Calculate the remainder when c is divided by 18.
6
Let u(n) = n**3 - 11*n**2 + 11*n - 7. Let c be u(10). Suppose -c*r + 1529 = 5*f, 3*r = 4*f - 2*f - 620. What is the remainder when f is divided by 28?
27
Suppose -42*j + 43*j + 8 = -4*b, -2*b + 18 = -5*j. Calculate the remainder when j + (-5 + 3 - -1 - -154) is divided by 12.
5
Suppose 58 = c - 4*h, -105 = -3*c - h + 17. Let d = -10 - 12. Calculate the remainder when c is divided by (30/8)/(d/(-88)).
12
Suppose g + h = 85, 35*g + 171 = 37*g + 3*h. Suppose -12 = -t - 4. What is the remainder when g is divided by t?
4
Suppose -761645 - 698741 = -245*l + 54*l. Calculate the remainder when l is divided by 18.
14
Calculate the remainder when 171 is divided by 35/(-28)*(-324)/9.
36
Suppose -4*d - 40 = 2*c, 2*d + 13*c - 15*
|
{
"pile_set_name": "DM Mathematics"
}
|
te prob of picking 2 s when two letters picked without replacement from ssmmssssmsm.
21/55
Four letters picked without replacement from btbrrakprbrbr. What is prob of picking 2 r, 1 k, and 1 a?
2/143
What is prob of picking 3 p when three letters picked without replacement from ppppmmpmmspmmpmppmmm?
7/95
Three letters picked without replacement from {a: 3, f: 4}. Give prob of picking 2 f and 1 a.
18/35
Three letters picked without replacement from {r: 1, o: 3, u: 5}. What is prob of picking 2 u and 1 o?
5/14
Three letters picked without replacement from {v: 1, x: 1, b: 1, p: 1, g: 2, m: 1}. What is prob of picking 1 m, 1 x, and 1 p?
1/35
Three letters picked without replacement from {p: 1, y: 1, a: 1, e: 1, l: 3}. Give prob of picking 1 e, 1 y, and 1 l.
3/35
Calculate prob of picking 2 k, 1 u, and 1 q when four letters picked without replacement from ckakakquaqek.
4/165
Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {l: 1, g: 1, h: 2, u: 1, o: 2, i: 2}.
1/9
What is prob of picking 1 s and 1 n when two letters picked without replacement from {n: 1, s: 5, h: 4}?
1/9
Calculate prob of picking 1 r, 1 m, and 1 f when three letters picked without replacement from {m: 9, r: 2, f: 2}.
18/143
Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {g: 2, w: 3, j: 1, d: 3, i: 1}.
1/15
Three letters picked without replacement from {n: 4}. What is prob of picking 3 n?
1
What is prob of picking 4 a when four letters picked without replacement from {n: 3, a: 9}?
14/55
What is prob of picking 4 m when four letters picked without replacement from memmmem?
1/7
Two letters picked without replacement from {p: 6, o: 4}. Give prob of picking 2 o.
2/15
Three letters picked without replacement from hpypypphpjypbbpbpybp. Give prob of picking 1 h and 2 y.
1/95
Three letters picked without replacement from dwtwwhwhwtwwtcwhtdw. What is prob of picking 1 t and 2 h?
4/323
Two letters picked without replacement from eeeyeyyyyyye. Give prob of picking 1 y and 1 e.
35/66
What is prob of picking 1 x and 1 e when two letters picked without replacement from {e: 2, m: 1, x: 1}?
1/3
What is prob of picking 1 p and 3 n when four letters picked without replacement from {w: 8, p: 3, o: 1, q: 4, n: 3}?
1/1292
What is prob of picking 3 d when three letters picked without replacement from {d: 9, t: 5}?
3/13
What is prob of picking 2 d when two letters picked without replacement from dddd?
1
Calculate prob of picking 1 d and 2 v when three letters picked without replacement from ddydhyvddhydh.
0
Three letters picked without replacement from {q: 3, t: 2, f: 1, r: 1, c: 4}. What is prob of picking 2 t and 1 c?
4/165
Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, a: 9}.
1/22
What is prob of picking 1 a, 2 p, and 1 r when four letters picked without replacement from {p: 3, o: 7, a: 1, r: 1}?
1/165
Four letters picked without replacement from mlhlxmg. What is prob of picking 2 l, 1 m, and 1 g?
2/35
What is prob of picking 1 z and 1 j when two letters picked without replacement from hjzj?
1/3
Four letters picked without replacement from {j: 1, d: 3, t: 1, g: 2, k: 1, u: 3}. Give prob of picking 1 d, 2 g, and 1 t.
1/110
Calculate prob of picking 1 a and 2 c when three letters picked without replacement from csggscsascgssssag.
3/340
Calculate prob of picking 1 l and 1 n when two letters picked without replacement from lhnununluu.
2/15
Calculate prob of picking 2 g when two letters picked without replacement from qqjjjqxzqqzvzvjggggq.
3/95
Calculate prob of picking 1 m and 1 t when two letters picked without replacement from imyymt.
2/15
Four letters picked without replacement from dwddxdddwdxd. Give prob of picking 4 d.
14/99
What is prob of picking 1 z and 2 p when three letters picked without replacement from azpp?
1/4
Calculate prob of picking 1 p, 1 w, and 1 n when three letters picked without replacement from neezwneeezzennp.
4/455
What is prob of picking 1 r and 1 g when two letters picked without replacement from {w: 2, g: 3, r: 1, z: 1}?
1/7
Calculate prob of picking 1 t, 1 q, and 2 i when four letters picked without replacement from {t: 1, q: 1, f: 4, p: 1, i: 2}.
1/126
Four letters picked without replacement from {l: 4, o: 3, t: 2, q: 6, y: 4, i: 1}. Give prob of picking 3 l and 1 o.
4/1615
Calculate prob of picking 3 c and 1 r when four letters picked without replacement from ccrccccc.
1/2
Calculate prob of picking 1 b and 2 o when three letters picked without replacement from okooiobbkioo.
3/22
Three letters picked without replacement from uvbbqducuqcu. Give prob of picking 1 c, 1 u, and 1 v.
2/55
Two letters picked without replacement from yykyyyyyyyyyyyyyyy. What is prob of picking 1 k and 1 y?
1/9
Three letters picked without replacement from ffufs. Give prob of picking 2 f and 1 u.
3/10
Three letters picked without replacement from thtttth. What is prob of picking 2 h and 1 t?
1/7
Four letters picked without replacement from {u: 2, m: 2, n: 8, a: 1, j: 1, h: 3}. What is prob of picking 1 u and 3 n?
4/85
What is prob of picking 4 e when four letters picked without replacement from {h: 13, e: 5}?
1/612
Two letters picked without replacement from dyddyd. Give prob of picking 1 d and 1 y.
8/15
Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {i: 2, t: 1, a: 2, s: 1}.
2/15
Four letters picked without replacement from fkkfjjjjjjkkjjjj. Give prob of picking 2 j, 1 f, and 1 k.
18/91
Four letters picked without replacement from vvvttvvtwtwvtwtwt. Give prob of picking 3 t and 1 w.
1/17
What is prob of picking 1 g and 1 i when two letters picked without replacement from uuughyiihugivuu?
2/35
Calculate prob of picking 4 r when four letters picked without replacement from {e: 1, j: 2, r: 11}.
30/91
Calculate prob of picking 1 w and 1 n when two letters picked without replacement from nnnnwnnn.
1/4
Three letters picked without replacement from yyggyg. Give prob of picking 2 g and 1 y.
9/20
Three letters picked without replacement from {p: 1, k: 3, c: 2, i: 1, o: 2, b: 3}. Give prob of picking 1 c and 2 o.
1/110
Two letters picked without replacement from vvpvprpvv. What is prob of picking 1 v and 1 r?
5/36
What is prob of picking 1 b and 2 d when three letters picked without replacement from {z: 4, a: 2, v: 2, d: 2, r: 2, b: 2}?
1/182
Two letters picked without replacement from qkkiikkicirqbqibqri. What is prob of picking 1 r and 1 q?
8/171
Calculate prob of picking 3 g when three letters picked without replacement from {z: 5, g: 8}.
28/143
Four letters picked without replacement from fefffefeeeff. What is prob of picking 1 e and 3 f?
35/99
Four letters picked without replacement from wmwmwmwhwmwwmmmwmmm. Give prob of picking 1 w, 1 h, and 2 m.
30/323
Three letters picked without replacement from gxzgx. Give prob of picking 2 x and 1 z.
1/10
What is prob of picking 1 q and 2 b when three letters picked without replacement from {y: 2, q: 7, b: 3, j: 1, t: 5}?
7/272
Calculate prob of picking 1 g, 2 d, and 1 k when four letters picked without replacement from {d: 5, s: 1, k: 3, p: 1, j: 6, g: 1}.
3/238
What is prob of picking 1 b and 1 r when two letters picked without replacement from xxxbibbbrxrixxxxxi?
8/153
Four letters picked without replacement from {k: 3, v: 1, n: 1, w: 2}. What is prob of picking 1 v, 1 n, 1 k, and 1 w?
6/35
Four letters picked without replacement from {o: 1, w: 3, t: 3, n: 1, k: 1, e: 2}. Give prob of picking 1 o, 1 n, 1 e, and 1 w.
1/55
What is prob of picking 1 a, 2 r, and 1 n when four letters picked without replacement from {t: 6, n: 1, a: 6, r: 3, s: 1}?
9/1190
Two letters picked without replacement from llccll. What is prob of picking 1 c and 1 l?
8/15
Four letters picked without replacement from ggggggg. Give prob of picking 4 g.
1
Two letters picked without replacement from {y: 1, f: 1, w: 1, o: 1, q: 3}. What is prob of picking 1 w and 1 o?
1/21
Two letters picked without replacement from lllulllllllll. What is prob of picking 1 l and 1 u?
2/13
Four letters picked without replacement from wpppppwpwpp. What is prob of picking 1 w and 3 p?
28/55
Four letters picked without replacement from {r: 1, c: 2, o: 13, j:
|
{
"pile_set_name": "DM Mathematics"
}
|
cked without replacement from ddiddfbddindcinbbdn.
1/323
Two letters picked without replacement from {g: 4, d: 2, z: 4}. What is prob of picking 1 d and 1 z?
8/45
What is prob of picking 1 o, 1 m, and 1 s when three letters picked without replacement from {o: 1, s: 11, m: 2}?
11/182
What is prob of picking 2 y and 1 s when three letters picked without replacement from {s: 5, y: 5, k: 2}?
5/22
Four letters picked without replacement from {y: 9, i: 7}. Give prob of picking 2 y and 2 i.
27/65
Two letters picked without replacement from {v: 2, p: 1, t: 1}. What is prob of picking 1 p and 1 t?
1/6
Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {e: 4, m: 1, i: 3, j: 10, w: 1}.
10/171
What is prob of picking 2 a and 1 w when three letters picked without replacement from {w: 1, a: 3}?
3/4
What is prob of picking 1 n and 1 h when two letters picked without replacement from hnhnhhn?
4/7
Three letters picked without replacement from xsmmpxpsmmmp. What is prob of picking 2 p and 1 s?
3/110
Calculate prob of picking 2 x and 1 k when three letters picked without replacement from {t: 1, x: 1, k: 2, p: 2}.
0
Calculate prob of picking 2 q when two letters picked without replacement from {u: 12, q: 3}.
1/35
What is prob of picking 2 g and 1 n when three letters picked without replacement from nccggxoxxgggxnnnocpn?
5/114
Two letters picked without replacement from llllll. Give prob of picking 2 l.
1
Two letters picked without replacement from rprrwrrrrw. Give prob of picking 1 p and 1 w.
2/45
Four letters picked without replacement from vhgvgvavgvvggxg. Give prob of picking 4 v.
1/91
Calculate prob of picking 2 j and 2 k when four letters picked without replacement from {z: 4, k: 2, j: 3}.
1/42
Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {z: 2, i: 2, g: 1, v: 1, e: 1, c: 2}.
1/9
Two letters picked without replacement from vvq. Give prob of picking 2 v.
1/3
Four letters picked without replacement from {e: 5, l: 2, x: 7}. What is prob of picking 2 e and 2 l?
10/1001
Two letters picked without replacement from yyyyppyrpyry. What is prob of picking 1 p and 1 y?
7/22
Four letters picked without replacement from {u: 5, a: 2, g: 1, f: 1}. What is prob of picking 4 u?
5/126
Four letters picked without replacement from hhhhhhhhhh. Give prob of picking 4 h.
1
Calculate prob of picking 1 l and 2 y when three letters picked without replacement from iyyillyylll.
2/11
Two letters picked without replacement from fffzaaafxffafafzafa. Give prob of picking 1 z and 1 a.
14/171
What is prob of picking 2 j, 1 s, and 1 o when four letters picked without replacement from {j: 5, a: 3, s: 5, o: 1, m: 4}?
5/306
Two letters picked without replacement from {a: 1, i: 2, t: 2, e: 1, y: 5, f: 2}. What is prob of picking 2 f?
1/78
Calculate prob of picking 1 b, 1 h, and 1 p when three letters picked without replacement from {f: 2, b: 2, h: 5, e: 2, p: 7}.
35/408
What is prob of picking 1 f and 3 z when four letters picked without replacement from ffzgfzgzgzstsnzzstf?
20/969
Three letters picked without replacement from {l: 1, m: 1, c: 2, d: 1}. Give prob of picking 2 c and 1 d.
1/10
Calculate prob of picking 2 m when two letters picked without replacement from {m: 7, x: 7}.
3/13
Two letters picked without replacement from {f: 1, b: 2, l: 1, y: 1, h: 1, q: 1}. Give prob of picking 1 b and 1 h.
2/21
What is prob of picking 1 m, 1 j, and 1 s when three letters picked without replacement from sdfsmdjfjssmjfsdjffj?
5/114
Two letters picked without replacement from mmvmcccvc. What is prob of picking 2 v?
1/36
What is prob of picking 3 l when three letters picked without replacement from {l: 3, j: 1}?
1/4
Four letters picked without replacement from {m: 6, f: 4, h: 4}. What is prob of picking 1 m, 2 f, and 1 h?
144/1001
What is prob of picking 1 j and 1 m when two letters picked without replacement from {m: 1, j: 3}?
1/2
Four letters picked without replacement from {i: 1, f: 5, l: 3}. What is prob of picking 1 i, 1 f, and 2 l?
5/42
What is prob of picking 3 v and 1 j when four letters picked without replacement from {j: 6, v: 4, h: 1}?
4/55
Two letters picked without replacement from {c: 1, i: 1, y: 1, d: 1, s: 1}. What is prob of picking 1 d and 1 s?
1/10
Two letters picked without replacement from ryryyryyyrrrrrrrrrr. What is prob of picking 2 r?
26/57
Calculate prob of picking 1 m and 1 f when two letters picked without replacement from {b: 2, r: 1, x: 2, i: 6, m: 3, f: 6}.
9/95
What is prob of picking 2 g, 1 h, and 1 z when four letters picked without replacement from gzzghzg?
9/35
Three letters picked without replacement from {s: 1, w: 2, t: 3, h: 3, c: 1}. What is prob of picking 1 c, 1 t, and 1 h?
3/40
What is prob of picking 1 r, 1 a, and 1 j when three letters picked without replacement from jajqrjjjjqr?
4/55
What is prob of picking 1 a and 2 x when three letters picked without replacement from axxj?
1/4
What is prob of picking 2 o and 1 m when three letters picked without replacement from omkmoqm?
3/35
Three letters picked without replacement from {k: 1, f: 5, w: 2, c: 5, h: 5}. Give prob of picking 3 h.
5/408
Four letters picked without replacement from qyqyiqixq. Give prob of picking 1 i and 3 q.
4/63
Calculate prob of picking 1 k and 1 g when two letters picked without replacement from jxgojxk.
1/21
Two letters picked without replacement from pyyfjkjpkplppjypk. What is prob of picking 1 k and 1 p?
9/68
Three letters picked without replacement from shkhhhsssshkhhllhhsh. Give prob of picking 1 k, 1 l, and 1 s.
2/95
Four letters picked without replacement from eeqeqeeeeqqeee. What is prob of picking 1 e and 3 q?
40/1001
What is prob of picking 1 a and 1 o when two letters picked without replacement from oalrlllrjolxoxo?
4/105
Calculate prob of picking 1 j and 3 m when four letters picked without replacement from {m: 11, j: 1}.
1/3
Two letters picked without replacement from {w: 13, h: 5}. Give prob of picking 2 h.
10/153
Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {o: 1, d: 4, z: 2, k: 3}.
2/15
Calculate prob of picking 1 g and 2 j when three letters picked without replacement from {g: 2, j: 3}.
3/5
Calculate prob of picking 1 y, 1 l, and 1 z when three letters picked without replacement from yyzylllylfo.
16/165
Three letters picked without replacement from {e: 4}. What is prob of picking 3 e?
1
Three letters picked without replacement from {n: 4, c: 2, v: 3}. What is prob of picking 2 c and 1 n?
1/21
Calculate prob of picking 2 m when two letters picked without replacement from mmmzzmmxmmmmxm.
45/91
What is prob of picking 1 r and 2 k when three letters picked without replacement from {w: 3, k: 5, r: 4, n: 1}?
20/143
Three letters picked without replacement from {p: 2, k: 4, c: 1, w: 1, s: 2}. Give prob of picking 2 k and 1 c.
1/20
Calculate prob of picking 1 v, 1 c, and 1 i when three letters picked without replacement from {v: 2, i: 3, n: 1, c: 3, l: 1}.
3/20
Calculate prob of picking 1 l and 1 v when two letters picked without replacement from lllvvfvl.
3/7
Two letters picked without replacement from mccmmmmmcmccm. What is prob of picking 2 c?
5/39
What is prob of picking 2 l and 2 s when four letters picked without replacement from slssssslsss?
6/55
What is prob of picking 1 j and 2 x when three letters picked without replacement from xxxjxjjjxxx?
28/55
Two letters picked without replacement from {z: 1, t: 1, w: 2, s: 1}. Give prob of picking 1 t and 1 w.
1/5
Calculate prob of picking 2 x and 2 i when four letters picked without replacement from ixikkkiaxxkxxaikkik.
25/969
Calculate prob of picking 2 a when two letters picked without replacement from {w: 6, f: 4, a: 7}.
21/136
What is prob of picking 1 j and 1 v when two letters picked without replacement from {j: 2, v: 6}?
3/7
Four letters picked without replacement from nnanayennnaan. Give prob of picking 1 y and 3 a.
4/715
Three letters picked without replacement from {z: 1, o: 9, r: 4}. Give prob of picking 3 o.
3/13
Calculate prob of picking 1 g, 1 o, and 1 s when three letters picked without replacement from mosagmu.
1/35
What is prob of picking 2 l and 2 z when four letters picked without replacement
|
{
"pile_set_name": "DM Mathematics"
}
|
(-10). What is the smallest value in -0.5, 5, 3, c?
c
Suppose -4*z = -4*l - 24, -3*z + 20 = -0*z - 5*l. Let y = 72.971 + -73. Let b = y - -1.229. What is the smallest value in 0.1, z, b?
0.1
Let a = 370/21 + -52/3. Let f = -2.3 + 1.6. Let n = f - -0.4. What is the second smallest value in -0.4, a, n?
n
Let m = -36513308378/1407 - -25951180. Let a = m - 2/469. Let h = -93 - -89. What is the biggest value in a, h, 2/21?
a
Let d = 1.33 - 1.43. Which is the second biggest value? (a) 0.04 (b) 2 (c) d
a
Let a = 9.7 + -9.6. Let v = 0.6 - a. Let s be 3/11*2/(-3). What is the third biggest value in 3, s, v?
s
Let h = -37 + 16. Let s be (12/9)/((-98)/h). What is the second smallest value in 0.5, s, -2/11?
s
Let m = -19.047 + 0.147. Let v = m + 19. What is the smallest value in 2, -5, v?
-5
Let j be (-105)/336*((-16)/10)/4. Which is the biggest value? (a) 1/2 (b) -5 (c) j
a
Let z = -63 + 60. Let g be 22*(-3)/(-30) + 2/(-1). Let q = 0.44 - -0.06. What is the biggest value in g, q, z?
q
Let i = -90 + 179/2. What is the smallest value in i, 3/4, 1?
i
Let f = 18.5 + -18.6. What is the biggest value in f, -2, -4, 7?
7
Let m = -16.64 - -1.04. Let p = m - -16. Let z be (-2 - 4)*(-10)/(-45). Which is the third biggest value? (a) p (b) 0.1 (c) z
c
Suppose -83*r + 145 = -112*r. Which is the third biggest value? (a) r (b) -0.3 (c) -0.4
a
Let i = 35 + -26.7. Let u = i - 13.3. What is the fourth biggest value in 2/15, u, 5, 0.08?
u
Let m be 27/(-45) + (-466)/(-10). Let a be m/(-14) - (-8)/28. Let p(r) = r**2 + r - 4. Let h be p(a). What is the biggest value in -1/3, 1/2, h?
h
Let s be 113/(-226)*1*2. What is the third biggest value in 1/6, 1, -2, s?
s
Let k = -41.1 - -41.13. Which is the fourth biggest value? (a) -2/7 (b) k (c) 0 (d) -5
d
Let w = -7220/9 - -802. What is the third biggest value in -1, w, -1/4?
-1
Let g = 0.002 - -3.798. Let r = g - 5.8. Which is the biggest value? (a) 0.5 (b) r (c) 4
c
Let q = -32 - -30. Let y be (q/(-1))/(-22 + 11). Which is the biggest value? (a) 1 (b) y (c) -0.2
a
Let k = -3.3 + 0.3. Let v be (((-4)/(-30))/2)/(378/(-1260)). Which is the biggest value? (a) -2 (b) v (c) k
b
Let l be (-3 - -4)*(-1)/(7/4). What is the third smallest value in 3/19, -7, l?
3/19
Let w = 1031.8 - 1032. Which is the third smallest value? (a) w (b) 14.7 (c) -3
b
Let j = -0.33 + 13.83. Let y = j + -13. What is the third biggest value in 0.2, y, -4?
-4
Let d = 8.54 - 8.94. What is the fourth biggest value in d, -4/9, 0.05, -3/4?
-3/4
Let i = 175/2 - 3667/42. Let l = i - 5/14. What is the third biggest value in l, 2/7, 3/7?
l
Let y = -1/824 - 405/5768. What is the smallest value in y, -4, -0.3?
-4
Let g = 5.4 - 5. Let u = 31 - 44. Let q = u + 25/2. Which is the biggest value? (a) 2 (b) q (c) g
a
Suppose -2*l + 4 = 2. Let z = 37 - 42. Which is the second smallest value? (a) 0.2 (b) -2/5 (c) l (d) z
b
Let j = 0.05 - 0.35. Let c = -2.02 - -0.02. Let t = 233 + -237. What is the biggest value in c, t, j?
j
Let k = 70.8 + -70.66. What is the smallest value in -0.3, k, -0.1?
-0.3
Let i = 774 + -777. What is the biggest value in i, 5, 1/2?
5
Let d = 446 - 3118/7. Let z be 1/3*(-12)/8. What is the second smallest value in z, -2, d?
z
Let y = 2088 + -2088. Let x = -19.1 - -3.1. What is the third biggest value in y, x, -3?
x
Let t = -39.9 + 40. Let o be (-1)/5 - 1/(-55). Which is the third biggest value? (a) -2/5 (b) -1 (c) o (d) t
a
Let m be -4 + (-1 - -1)/(-2). Let x = -17/26 - 16/65. Let w = x + 83/70. What is the second biggest value in w, m, -0.1?
-0.1
Let j = 3.5 - -0.5. Let o(n) = -n**3 - 3*n**2 + 3*n + 3. Let t be o(-3). Let p be 12/t*(-1)/6. Which is the third biggest value? (a) p (b) j (c) -4
c
Let j = -207 + 67. Let p = 139 + j. Which is the fourth biggest value? (a) -4 (b) 1.2 (c) 5 (d) p
a
Let n = 31 - 2. Let f = -28.9 + n. Which is the second biggest value? (a) -3 (b) f (c) 1 (d) -1
b
Let o = -7 + 7.034. Let z = o + -2.934. Let q = z + 3. Which is the smallest value? (a) q (b) 4 (c) -0.1
c
Let j = -6.1 - 1.9. Let y(x) = x**2 - 5. Let t(d) = -3*d**2 + 14. Let k(h) = -6*t(h) - 17*y(h). Let v be k(2). What is the third biggest value in v, 0, j?
j
Let c be -3 + 2 - 4/(-6). Let s = -1483 - -1477. What is the smallest value in c, -1/4, -2, s?
s
Let d = 29 - 24. Let t = -9 + 8.3. Let w = t + -2.3. What is the biggest value in d, w, -8?
d
Let h = 3.51 + -0.51. What is the second biggest value in 0.06, h, 1, -2/15?
1
Let j be (-1 - 1)/(1 - 0). Let u = -74.848 - 0.152. Let k = 75.2 + u. Which is the second smallest value? (a) k (b) 2 (c) j
a
Let k = 0.133 + 0.067. Which is the smallest value? (a) 4 (b) k (c) -2/7 (d) -0.03
c
Let b = 5/6 + -1. Suppose -6*n + 4 = -2. Let v(h) = -2*h + 1. Let m be v(n). What is the smallest value in b, m, 0?
m
Let d be 48/(-170) + (-12)/102. What is the biggest value in 3/2, -13, d?
3/2
Let j = 762 - 765. What is the third biggest value in j, 0, 13?
j
Let r = -103 - -103.06. Which is the smallest value? (a) r (b) 3 (c) 5
a
Let f = 0.02 + -0.01. Let u = f + 0.05. Let m = -1.94 - u. What is the biggest value in 0.1, 0, m?
0.1
Let v = 8.5 + 6.5. Which is the biggest value? (a) -0.4 (b) v (c) -0.2
b
Let l = -458 + 459. Which is the fourth biggest value? (a) 0.1 (b) -11 (c) l (d) -2/5
b
Let s = -5.1 + 5. Let h = -100/1989 - 1/117. Let i = 19.5 - 20. What is the second biggest value in s, i, h?
s
Let g = -48.65 + 0.65. Let n = 47.8 + g. Which is the fourth biggest value? (a) 2/5 (b) 1/9 (c) n (d) 1
c
Let q = 10 + 16. Let l = -29 + q. Which is the second biggest value? (a) 5 (b) l (c) 4 (d) -4
c
Let y = 863/35 + -124/5. Which is the third biggest value? (a) y (b) 0.0496 (c) 1
a
Let u(f) = -10*f**2 - 66*f + 23. Let s be u(-7). What is the fourth biggest value in -3, 0, s, 9?
s
Let q = -19/12 + 9/4. Let x = 9 + -7. Let k be (-4)/(-1) + 26/(-6). What is the biggest value in k, x, q?
x
Let r = -12880.2 + 12880. Let u be 1/(1 - 1/(-3)). Which is the fourth smallest value? (a) r (b) -1/9 (c) u (d) 0.3
c
Let h = 1.09 + -1.09. What is the biggest value in 1/5, h, -9?
1/5
Let m = -48 - -16. Let i = -37 - m. Let x = 0.3 - 0.1. Which is the third smallest value? (a) -2 (b) x (c) i
b
Let d be (-80)/(-12) - (-2 + 56/7). What is the second biggest value in -5, 3, 0.3, d?
d
Let g = 296 - 291. Which is the smallest value? (a) 0 (b) -2/39 (c) g (d) -0.2
d
Let y be ((-14)/(-8) + -1)/(1740/(-928)). Suppose -25 = a + 5*u, 5*a + 3*u = -2*u - 25. What is the third biggest value in 1, a, y?
y
Let x be (-3)/2*(13 - 27 - -15). Which is the fourth smallest value? (a) 0.42 (b) 1 (c) 2/5 (d) x
b
Let j = 744 + -735. What is the biggest value in -4/5, 1, 5, j?
j
Let i = -1892.3 - -1893. Which is the third biggest value? (a) 5 (b) -0.5 (c) i
b
Let k = 14 - 17. Let s = 46 - 42. Which is the second biggest value? (a) -1/10 (b) s (c) k
a
Let u be 0/(-1) + 2 + 682/(-31). Let v be 388/(-20) - 4/(-10). Let z = u - v. What is the third smallest value in 1/4, -0.3, z?
1/4
Let t = 124 + -128. Let i be (-3)/21*-17 - t/(-2). What is the second biggest value in i, 5, -0.5, -2/9?
i
Let y = 4/147 + 15/49. Let g = -6 + 0. Let f = g - -6.04. What is the third biggest value in f, y, -3?
-3
Let k = 5.8 - 5.5. Let u = 551/6 + -92. What is the smallest value in -5, u, k?
-5
Let a = -5.6 + 6. Let l = 734/9 - 1459/18. What is the second biggest value in l, 11, a?
l
Let p = -0.075 - 0.125. Let i = -1/72 - -11/24. What is the biggest value in i, -9, p, 3?
3
Let w = 403 + -396. Which is the fourth biggest value? (a) w (b) -4 (c) 1 (d) -11
d
Let j = -143/2 - -71. Let c = -14 + 24. What is the second smallest value in 2/17, j, c?
2/17
Let v be (16/(-40))/(7 + -6). What is the third smallest value in 134, v, -0.3?
134
Let x = -1888 - -47198/25. What is the fourth biggest value in -0.2, -3, -2/5, x?
-3
Let j = 38 + -79. Let l = 40 + j. Which is the biggest value? (a) -3/2 (b) 0 (c) l
b
Let s = -2.1 - -2.045. Let z = s - -0.155. What is the third smallest value in 2, 5, z?
5
Let y = -22 + 17. Let r = -0.2 - 0. Let f = -12.27 + 12.47. What is the smallest value in r, y, f?
y
Let i = 83.05 + -83. Let v = i + 0.45. What is the third biggest value in 2/19, v, 5?
2/19
Let v be (2/10)/((-2)/10*2).
|
{
"pile_set_name": "DM Mathematics"
}
|
p(h) + b(h). Let i(u) = 3*u**2. Determine i(y(n)).
12*n**4
Let o(r) = 30*r**2. Let u(g) = g**2 - 120906*g. Determine u(o(h)).
900*h**4 - 3627180*h**2
Let k(o) = -721*o + 3. Let w(h) = -64*h + 10. What is k(w(v))?
46144*v - 7207
Let j(x) = -5*x. Let f(h) = 2507263*h. Determine j(f(t)).
-12536315*t
Let o(w) = w**2 - 418. Let k(s) = 3407*s + s**2 - 3407*s. Determine o(k(z)).
z**4 - 418
Let c(u) = 1731*u**2 - 10*u - 30. Let k(s) = -3*s. Determine c(k(g)).
15579*g**2 + 30*g - 30
Let h(g) = -g**2. Let a(q) be the second derivative of -117*q - 85/12*q**4 + 0*q**3 + 0 + 0*q**2. Calculate h(a(s)).
-7225*s**4
Let q(a) = -10*a - 19*a - 62 + 62 - 2*a. Let k(m) = m**3 + 7*m**2 + 5*m + 2. Let o be k(-6). Let i(r) = -33*r + 16*r + o*r + 8*r. Calculate i(q(v)).
31*v
Let g(b) = 325*b. Let f(k) = -31*k. Let y(t) = -52*f(t) - 5*g(t). Let w = 15 + -3. Let z(n) = -w*n - 2*n + 19*n - n. Give z(y(s)).
-52*s
Let w(i) = -630*i**2. Let f(r) be the second derivative of r**4/6 + 177*r + 1. Give f(w(g)).
793800*g**4
Let u(d) be the first derivative of -d**2 + 6420*d + 1326. Let j(l) = -2*l**2. Determine j(u(s)).
-8*s**2 + 51360*s - 82432800
Let p(k) = -23*k + 7. Let l(r) = -r + 34. Let u(y) = y + 17. Let s(n) = l(n) - 2*u(n). Give s(p(o)).
69*o - 21
Suppose -2*b = -5*g - 1, -6 = -4*b + 6. Let f(l) = 8*l - 5. Let m(a) = -a + 1. Let p(h) = g*f(h) + 5*m(h). Let d(o) = -3*o + 31165 - 31165. What is p(d(i))?
-9*i
Let n = 90 - 108. Let a(s) = -11*s - 73. Let u be a(n). Let l(d) = 125*d - 26*d**2 - u*d - 55*d**2. Let i(t) = -2*t**2. Give l(i(w)).
-324*w**4
Let w(q) = 17*q**2 - 2*q. Let c be 6*(-3)/(-18) + 123. Let g(a) = -124 - 2*a**2 + c. What is g(w(n))?
-578*n**4 + 136*n**3 - 8*n**2
Let z(o) = 6*o - 10. Let y(q) = -2*q + 3*q + 2*q - 13*q + 4 + 7*q. Let g(m) = 5*y(m) + 2*z(m). Let a(w) = 82*w**2. Determine a(g(f)).
738*f**2
Let s(k) = -292 + 123 + 2*k - k + 49. Let a(g) = -g. Determine s(a(n)).
-n - 120
Let o(w) = 5*w. Let z(j) = 16642102*j**2. Determine z(o(n)).
416052550*n**2
Let x(z) = -3*z. Let t(a) = 6306*a - 760. Let m(d) = -3153*d + 434. Let w(c) = -7*m(c) - 4*t(c). What is w(x(i))?
9459*i + 2
Let m(k) be the second derivative of -23*k**4/4 - 2*k + 167. Let s(v) = 4*v**2 + 0*v**2 - v**2. Determine s(m(b)).
14283*b**4
Let w be 42/6 - (-2)/(-2). Let n(z) = -w*z**2 + 4*z**2 + 0*z**2 - 3*z**2. Let l(b) be the second derivative of -b**4/4 - 15*b. Determine n(l(c)).
-45*c**4
Let x(o) = -48*o - 44. Let c(h) = -2*h - 2. Suppose 3*d - 3 = -4*f - 1, -d - 8 = -3*f. Let k(r) = f*x(r) - 44*c(r). Let v(q) = 6*q - 2*q - q. Determine k(v(i)).
-24*i
Let g(p) be the first derivative of -29*p**3/3 + 1500. Let d(f) = -25*f**2 - 6. Give g(d(v)).
-18125*v**4 - 8700*v**2 - 1044
Let p(w) = w + 4. Let j(c) = -16*c + 10 - 9*c - 15*c + 43*c. Let l(i) = 2*j(i) - 5*p(i). Let v(y) = -10*y. Give v(l(s)).
-10*s
Let c(k) be the second derivative of -7 + 1/6*k**4 + k + 0*k**2 + 0*k**3. Let a(z) = 2*z - 13. Give a(c(n)).
4*n**2 - 13
Let l(o) = -3*o**2 - 146*o. Let p(k) = -3115711 + k + 3115711. Give l(p(u)).
-3*u**2 - 146*u
Let k(z) = -3*z. Let w(g) = 2385096*g + 75. What is w(k(s))?
-7155288*s + 75
Let m(w) = 3*w - 12. Let i be m(20). Let r(x) = -97*x + i*x + 51*x. Let c(h) = 9*h**2 + 20*h**2 + 3*h**2. Calculate r(c(f)).
64*f**2
Let t(k) = -73*k**2. Let d(a) = -3*a - 1354. What is d(t(n))?
219*n**2 - 1354
Let u(v) = -9*v - 3. Let k(s) = 37*s + 12. Let z(y) = k(y) + 4*u(y). Let n(c) = -455*c**2 + 1. Calculate n(z(m)).
-455*m**2 + 1
Let l(b) = -4*b**2 - 3*b. Let t(c) = -2*c**2 - 2*c. Let j(a) = -2*l(a) + 3*t(a). Let x(v) = 32*v**2 + v - v - 19*v**2 - 2. What is x(j(u))?
52*u**4 - 2
Let w(d) = 530824*d. Let r(g) = -64*g**2. Determine w(r(v)).
-33972736*v**2
Let g(l) = -1285840*l. Let m(a) = 496*a**2. What is m(g(z))?
820078714777600*z**2
Let v(n) = 40773*n. Let r(t) = 1250*t. Give r(v(x)).
50966250*x
Suppose -1635 = -2*s - 449. Let d(x) = -1224*x + 565*x + s*x. Let m(t) = -2*t. Calculate d(m(r)).
132*r
Let x(b) be the third derivative of 3*b**5/20 + 3*b**4/8 + 4*b**2 + 12*b + 8. Let p(k) = 9*k**2. Give x(p(g)).
729*g**4 + 81*g**2
Let j(k) = 924376*k**2 - 36. Let h(w) = 2*w. Calculate j(h(t)).
3697504*t**2 - 36
Let s(b) = 2*b**2. Let w(h) be the second derivative of -7*h - 7 + 0*h**2 - 29/12*h**4 + 0*h**3. What is s(w(v))?
1682*v**4
Let l be -6 - (-117)/45 - 2/(-5). Let f(x) = 2*x - 4. Let z(q) = q - 3. Let w(m) = l*f(m) + 4*z(m). Let g(k) = 10*k. Calculate g(w(s)).
-20*s
Let t(i) be the third derivative of i**6/360 + 97*i**3/6 + 152*i**2. Let v(q) be the first derivative of t(q). Let u(l) = -l. Calculate v(u(m)).
m**2
Let p(z) = 5*z**2. Let c(d) = -12058*d - 4. Determine c(p(t)).
-60290*t**2 - 4
Let y(r) = -2*r**2 - r - r**2 + 8108149 - 8108149. Let f(g) = -72*g. Calculate f(y(p)).
216*p**2 + 72*p
Let z(q) = -18 + q**2 - 8 + 49 - 23. Let j(v) be the first derivative of -269*v**3/3 + 2*v + 24. What is j(z(f))?
-269*f**4 + 2
Let w(s) = 53*s + 8. Let h(j) = -17*j - 3. Let y(m) = -8*h(m) - 3*w(m). Let o(u) = -40*u**2. What is y(o(z))?
920*z**2
Let f(h) = 7*h**2 + h + 6. Let p(j) = 21*j**2 + 4*j + 20. Let t(b) = -10*f(b) + 3*p(b). Let g(u) = 12*u**2. What is g(t(x))?
588*x**4 - 336*x**3 + 48*x**2
Let v(l) = 367*l - 3. Let d(y) = -2*y**2 - 30*y - 12. Let p(k) = 5*k + 2. Let q(m) = d(m) + 6*p(m). What is v(q(b))?
-734*b**2 - 3
Let u(h) = -20*h + 105. Let w(t) = 3*t - 14. Let r(a) = -4*u(a) - 30*w(a). Let y(q) = 3 - 1 - 2 + 11*q. Give y(r(l)).
-110*l
Let y(x) = -2*x**2 + 55*x. Let n(v) = 31175*v. What is n(y(r))?
-62350*r**2 + 1714625*r
Let y(z) be the first derivative of z**5/30 - 4*z**2 - z - 60. Let s(b) be the second derivative of y(b). Let n(p) = -41*p. Give n(s(v)).
-82*v**2
Let b(o) = 4*o**2. Let h(c) be the second derivative of 69*c**3/2 + c**2/2 - 10856*c. Give h(b(d)).
828*d**2 + 1
Let m(w) = -12*w**2. Let f(l) = 16519310*l**2. What is f(m(g))?
2378780640*g**4
Let j = 4 - -26. Let d be 48/j - (-2)/5. Let m(t) = -2*t**2 - 5*t**2 + 7*t**2 + d*t**2. Let l(f) = f**2 + 4*f. What is m(l(v))?
2*v**4 + 16*v**3 + 32*v**2
Suppose 0 = 12*r + 42 - 66. Let l(k) be the second derivative of 0*k**r - 1/3*k**3 + 15*k + 0. Let m(d) = -3*d. Determine m(l(u)).
6*u
Let x(c) = 89*c. Let m(w) be the third derivative of 8*w**2 + 0*w**3 + 0 + 2*w + 1/8*w**4. Determine x(m(y)).
267*y
Let f be 33/6 + -83 + 89. Let t(w) be the second derivative of -f*w**3 - 20*w + 0*w**2 + 0. Let n(g) = -g**2. Determine t(n(a)).
69*a**2
Let q = -17412 + 17435. Let c(j) be the third derivative of 1/3*j**4 + 0 + 0*j + 0*j**3 - q*j**2. Let n(g) = 7*g. Give n(c(l)).
56*l
Let p(w) = 0*w**2 - 8*w**2 - 3*w**2 + 12*w**2. Let n(r) = -12*r**2. Let b(c) = 2*n(c) + 20*p(c). Let t(v) be the second derivative of v**3/2 + v. Give t(b(s)).
-12*s**2
Let h(l) = -4*l. Let r(v) = -4*v - 6. Suppose 5*f + 4*t = 5 - 15, f - 3*t + 2 = 0. Let x be r(f). Let c(y) = -1145 + 1145 + x*y**2. Give c(h(b)).
32*b**2
Let g(i) = 581524*i**2 - 67*i - 2. Let d(b) = -b. Give g(d(q)).
581524*q**2 + 67*q - 2
Let u(d) = 3*d**2 + 3565537*d. Let v(x) = -6*x**2. What is u(v(s))?
108*s**4 - 21393222*s**2
Let u(s) = 2*s**2. Let i(o) = -7549826*o**2. Give i(u(g)).
-30199304*g**4
Let i(a) = 31*a - 34. Let f(h) = 11*h - 12. Let s(g) = -17*f(g) + 6*i(g). Let o(q) = 963*q**2. Determine o(s(z)).
963*z**2
Let q(p) = 3*p**2 - 2. Let y(j) be the first derivative of -j**2 + 471. What is q(y(m))?
12*m**2 - 2
Let i(h) = 49*h - 8*h - 21*h - 22*h. Let l(k) = -k + 117. Determine l(i(p)).
2*p + 117
Let b(r) = -64*r. Let v(g) = -5*g**2 + 3*g - 9. Let z(d) = 11*d**2 - 7*d + 21. Let f(j) = -14*v(j) - 6*z(j). What is f(b(w))?
16384*w**2
Let h(n) be the third derivative of -97*n**5/30 - n**4/12 + 3*n**2 - 77*n. Let m(b) = 6*b. Give m(h(q)).
-1164*q**2 - 12*q
Let l(j) = -j. Let n(o) = -88*o**2 + 4*o + 12. Let i(s) = 86*s**2 - 3*s - 13. Let w(c) = -4*i(c) - 3*n(c). Calculate w(l(k)).
-80*k**2 + 16
Let l(a) = 115*a**2 - 2*a - 4. Let x(q) = -1232*q + 1. Give x(l(m)).
-141680*m**2 + 2464*m + 4929
Let i(j) = -272384*j**2. Let o(r) = 84*r. Calculate o(i(p)).
-22880256*p**2
Let k(c) = -4*c**2 - 64. Let z(o) = -2*o + 3252. Give z(k(p)).
8*p**2 + 3380
Let q(t) = -45*t**2 - 34*t - 17. Let y(i) = -16*i**2 - 12*i - 6. Let x(h) = -6*q(h) + 17*y(h). Let l(d) = -260*d - 1. Give x(l(k)).
-135200*k**2 - 1040*k - 2
Let q(p) be
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the z'th term of -75901, -75902, -75903, -75904?
-z - 75900
What is the t'th term of -1362, -5600, -12664, -22554, -35270, -50812, -69180?
-1413*t**2 + t + 50
What is the b'th term of -5171, -10337, -15503, -20669?
-5166*b - 5
What is the t'th term of -385, -567, -749?
-182*t - 203
What is the u'th term of -113, 115, 495, 1027?
76*u**2 - 189
What is the a'th term of -645, -564, -483, -402, -321, -240?
81*a - 726
What is the v'th term of -960, -3840, -8642, -15366?
-961*v**2 + 3*v - 2
What is the h'th term of -1999, -7955, -17897, -31837, -49787, -71759, -97765?
-2*h**3 - 1981*h**2 + h - 17
What is the p'th term of -74078, -148152, -222226?
-74074*p - 4
What is the r'th term of 2347, 4694, 7041, 9388, 11735, 14082?
2347*r
What is the r'th term of 400, 1152, 2408, 4168, 6432, 9200, 12472?
252*r**2 - 4*r + 152
What is the o'th term of -4221, -4377, -4533, -4689, -4845, -5001?
-156*o - 4065
What is the a'th term of -228, -845, -1872, -3309, -5156, -7413?
-205*a**2 - 2*a - 21
What is the n'th term of -146, -400, -758, -1166, -1570, -1916, -2150?
9*n**3 - 106*n**2 + n - 50
What is the n'th term of 693, 3329, 10479, 24399, 47345, 81573?
376*n**3 + n**2 + n + 315
What is the u'th term of -29586, -29556, -29526, -29496?
30*u - 29616
What is the m'th term of -557, -751, -951, -1157, -1369, -1587?
-3*m**2 - 185*m - 369
What is the b'th term of -3076, -6162, -9254, -12352?
-3*b**2 - 3077*b + 4
What is the k'th term of -18056, -18061, -18066, -18071, -18076, -18081?
-5*k - 18051
What is the w'th term of -40551, -162222, -365015, -648936, -1013991, -1460186, -1987527, -2596020?
-w**3 - 40555*w**2 + w + 4
What is the d'th term of 72, 223, 444, 729, 1072?
-d**3 + 41*d**2 + 35*d - 3
What is the l'th term of -37621, -37622, -37623, -37624, -37625?
-l - 37620
What is the l'th term of 865, 3385, 7589, 13477, 21049, 30305, 41245?
842*l**2 - 6*l + 29
What is the g'th term of -1920, -3839, -5758, -7677?
-1919*g - 1
What is the d'th term of -203, -162, -135, -128, -147, -198, -287?
-d**3 - d**2 + 51*d - 252
What is the q'th term of 628, 715, 876, 1123, 1468, 1923?
2*q**3 + 25*q**2 - 2*q + 603
What is the f'th term of 309, 1566, 3769, 6918, 11013, 16054, 22041?
473*f**2 - 162*f - 2
What is the i'th term of -229, -379, -791, -1597, -2929, -4919, -7699, -11401?
-22*i**3 + i**2 + i - 209
What is the j'th term of -42843, -42842, -42841, -42840?
j - 42844
What is the g'th term of 75, 233, 487, 837, 1283, 1825, 2463?
48*g**2 + 14*g + 13
What is the h'th term of 1, -45, -151, -317, -543, -829, -1175?
-30*h**2 + 44*h - 13
What is the t'th term of 31, 705, 1823, 3385, 5391, 7841?
222*t**2 + 8*t - 199
What is the v'th term of -127511, -127508, -127507, -127508, -127511, -127516?
-v**2 + 6*v - 127516
What is the z'th term of -2146196, -2146195, -2146194, -2146193?
z - 2146197
What is the i'th term of 68175, 68175, 68177, 68181, 68187, 68195, 68205?
i**2 - 3*i + 68177
What is the s'th term of 18826, 37622, 56388, 75130, 93854, 112566, 131272, 149978?
s**3 - 21*s**2 + 18852*s - 6
What is the q'th term of 46091, 46089, 46073, 46037, 45975, 45881?
-q**3 - q**2 + 8*q + 46085
What is the n'th term of 81, 295, 657, 1167, 1825, 2631?
74*n**2 - 8*n + 15
What is the l'th term of -949, -939, -907, -841, -729, -559, -319?
2*l**3 - l**2 - l - 949
What is the g'th term of -5439, -5487, -5535, -5583?
-48*g - 5391
What is the m'th term of 254, 341, 486, 689, 950, 1269, 1646?
29*m**2 + 225
What is the n'th term of 2083, 4168, 6249, 8326, 10399, 12468, 14533?
-2*n**2 + 2091*n - 6
What is the i'th term of 14140, 28281, 42422, 56563, 70704, 84845?
14141*i - 1
What is the d'th term of 6, -332, -1262, -3078, -6074, -10544, -16782, -25082?
-49*d**3 - 2*d**2 + 11*d + 46
What is the p'th term of -156389, -156390, -156391, -156392, -156393?
-p - 156388
What is the l'th term of 792, 614, 332, -48, -520?
l**3 - 58*l**2 - 11*l + 860
What is the j'th term of -1003, -1957, -2869, -3739, -4567?
21*j**2 - 1017*j - 7
What is the z'th term of -471, -1015, -1547, -2061, -2551, -3011, -3435, -3817?
z**3 - 551*z + 79
What is the q'th term of 879, 973, 1127, 1341, 1615?
30*q**2 + 4*q + 845
What is the h'th term of -6347, -6364, -6385, -6404, -6415, -6412, -6389?
h**3 - 8*h**2 - 6340
What is the s'th term of 698521, 1397037, 2095551, 2794063, 3492573, 4191081?
-s**2 + 698519*s + 3
What is the d'th term of -147, -203, -305, -453, -647, -887?
-23*d**2 + 13*d - 137
What is the d'th term of -29, -108, -243, -446, -729?
-2*d**3 - 16*d**2 - 17*d + 6
What is the y'th term of 57, 95, 129, 159, 185, 207, 225?
-2*y**2 + 44*y + 15
What is the n'th term of -16350, -16347, -16344, -16341?
3*n - 16353
What is the u'th term of -339232, -339231, -339230?
u - 339233
What is the n'th term of 13465, 13464, 13463, 13462, 13461?
-n + 13466
What is the y'th term of -6366, -6395, -6444, -6513, -6602, -6711, -6840?
-10*y**2 + y - 6357
What is the f'th term of 457438, 914878, 1372318, 1829758, 2287198, 2744638?
457440*f - 2
What is the m'th term of -14247, -14241, -14235?
6*m - 14253
What is the y'th term of -61, -178, -293, -406, -517, -626, -733?
y**2 - 120*y + 58
What is the a'th term of 2583, 2580, 2579, 2580, 2583?
a**2 - 6*a + 2588
What is the j'th term of 231, 344, 533, 798, 1139?
38*j**2 - j + 194
What is the d'th term of 1028, 1676, 2324, 2972, 3620?
648*d + 380
What is the a'th term of -12693, -50780, -114265, -203148, -317429, -457108?
-12699*a**2 + 10*a - 4
What is the a'th term of -1688, -6584, -14720, -26096, -40712, -58568?
-1620*a**2 - 36*a - 32
What is the w'th term of 4945, 4921, 4897, 4873, 4849, 4825?
-24*w + 4969
What is the j'th term of -237, -306, -381, -462?
-3*j**2 - 60*j - 174
What is the v'th term of 268, 841, 1798, 3139, 4864, 6973?
192*v**2 - 3*v + 79
What is the m'th term of -760, -812, -878, -964, -1076, -1220, -1402?
-m**3 - m**2 - 42*m - 716
What is the m'th term of 1939, 3784, 5629, 7474, 9319?
1845*m + 94
What is the c'th term of -150, -45, 60?
105*c - 255
What is the b'th term of 613079, 613066, 613045, 613016, 612979?
-4*b**2 - b + 613084
What is the i'th term of -28, -19, -22, -43, -88, -163?
-i**3 + 16*i - 43
What is the r'th term of -25076, -25102, -25136, -25184, -25252, -25346, -25472, -25636?
-r**3 + 2*r**2 - 25*r - 25052
What is the o'th term of 1230, 1169, 1044, 837, 530?
-3*o**3 - 14*o**2 + 2*o + 1245
What is the l'th term of -495, -669, -843, -1017?
-174*l - 321
What is the j'th term of 1838, 1686, 1536, 1388, 1242, 1098, 956?
j**2 - 155*j + 1992
What is the u'th term of 75, -2059, -7843, -19101, -37657, -65335, -103959, -155353?
-304*u**3 - u**2 - 3*u + 383
What is the t'th term of -13998, -27990, -41982?
-13992*t - 6
What is the i'th term of 14, 112, 362, 842, 1630, 2804, 4442?
13*i**3 - 2*i**2 + 13*i - 10
What is the g'th term of 6564, 6559, 6564, 6591, 6652, 6759, 6924?
2*g**3 - 7*g**2 + 2*g + 6567
What is the m'th term of -270, -306, -252, -60, 318, 930, 1824, 3048?
8*m**3 - 3*m**2 - 83*m - 192
What is the j'th term of 655, 882, 1109, 1336, 1563?
227*j + 428
What is the c'th term of 241, 370, 585, 886?
43*c**2 + 198
What is the u'th term of 34132, 68262, 102390, 136516, 170640?
-u**2 + 34133*u
What is the b'th term of -2149, -2139, -2129, -2119, -2109, -2099?
10*b - 2159
What is the r'th term of 2206, 2183, 2148, 2107, 2066, 2031?
r**3 - 12*r**2 + 6*r + 2211
What is the b'th term of 18139, 36251, 54363, 72475?
18112*b + 27
What is the n'th term of -1397869, -1397868, -1397867, -1397866?
n - 1397870
What is the c'th term of 4710, 37504, 126508, 299826, 585562, 1011820, 1606704, 2398318?
4684*c**3 + c**2 + 3*c + 22
What is the r'th term of 5310, 10604, 15894, 21186, 26486?
r**3 - 8*r**2 + 5311*r + 6
What is the f'th term of 29930, 29924, 29914, 29900?
-2*f**2 + 29932
What is the s'th term of 482, 478, 478, 488, 514?
s**3 - 4*s**2 + s + 484
What is the j'th term of 16683, 16699, 16703, 16689, 16651, 16583?
-j**3 + 23*j + 16661
What is the c'th term of 179, 671, 1479, 2603, 4043, 5799?
158*c**2 + 18*c + 3
What is the o'th term of 3018, 24150, 81494, 193152, 377226?
3017*o**3 + 4*o**2 + o - 4
What is the j'th term of -21, 370, 747, 1104, 1435, 1734?
-j**3 - j**2 + 401*j - 420
What is the p'th term of -4962219, -4962193, -4962153, -4962093, -4962007, -4961889, -4961733, -4961533?
p**3
|
{
"pile_set_name": "DM Mathematics"
}
|
e y(2). Suppose r - x = z*r. What is r rounded to the nearest 1000?
-9000
Let w = -35.4 + 32. Let c = w + -0.4. What is c rounded to the nearest integer?
-4
Let v = -0.52 + 1.19. Let u = -0.733 + v. Let b = -0.0552 - u. What is b rounded to 3 dps?
0.008
Let j = -3.1226 - 2.8759. Let y = j + 0.1285. Let q = 0.47 + y. What is q rounded to the nearest integer?
-5
Let v(i) = 2798*i - 6. Let d be v(-3). What is d rounded to the nearest one thousand?
-8000
Let i = -36.31 - -36. Let k = 94.22939 - 94.54. Let y = i - k. Round y to four decimal places.
0.0006
Let g = 11294.64 - 11305.64018. Let d = 11 + g. Round d to four decimal places.
-0.0002
Let j = -3.2 + -15.8. Let h = j + 5. Let w = 13.58 + h. What is w rounded to 1 dp?
-0.4
Suppose 9*q + 4*o + 2 = 4*q, -2*o - 8 = -q. Let m be -800*(-1750)/(2/q). What is m rounded to the nearest one million?
1000000
Let q = -118 - -116.69. Let c = -1.9 - q. Let h = 0.01 - c. What is h rounded to the nearest integer?
1
Let n = -10.6725 + -6.32805. Let j = 43 + -60. Let z = n - j. Round z to four dps.
-0.0006
Let u = 6945.110112 - 6945. Let k = u + -0.11. Round k to five decimal places.
0.00011
Let c be -8400*(-20)/(2 + -4). Round c to the nearest 10000.
-80000
Let u = 19.12597876 + -19.889814. Let j = u - -0.803835. Let z = -0.04 + j. Round z to seven dps.
-0.0000002
Let k = -49.99999964 + 50. What is k rounded to seven dps?
0.0000004
Let o(d) be the third derivative of -d**4/24 + 3*d**3/2 - d**2. Let q be o(7). Let l be q + (30 - (2 + -4)). Round l to the nearest 10.
30
Suppose -3*z + 48 = -117. Suppose -7*d + 2*d - z = 0. Let i = 47 + d. What is i rounded to the nearest 10?
40
Let g = 1.1 - 0.87. Let o = 1159.7612 + -1160. Let w = o + g. Round w to three dps.
-0.009
Suppose 3*c - 10*c + 112 = 0. Round c to the nearest ten.
20
Let a = 3.8 - 3. Let j = a + -0.87. Let m = -0.07028 - j. Round m to four dps.
-0.0003
Let i = -0.64 - -0.586. What is i rounded to 2 dps?
-0.05
Let c = -34218 - -33730.06. Let v = c + 495. Let n = v - 8. Round n to one dp.
-0.9
Let l(c) = -23*c + 12. Let b be l(11). Round b to the nearest 10.
-240
Suppose 358 = -4*y - 150. Let u = -78 - y. What is u rounded to the nearest 10?
50
Let s = 2351617 + -2351577.00068. Let i = s - 40. Round i to 4 decimal places.
-0.0007
Suppose -61*o = -60*o + 410000. Round o to the nearest one hundred thousand.
-400000
Let z = -71 + 43. Let m = -27.917 - z. Round m to 2 decimal places.
0.08
Let z = -374916.93 - -374919.8300031. Let u = -4.5 + 1.6. Let h = u + z. Round h to six dps.
0.000003
Suppose 3 = -b, 3*l = 7*l - b + 103997. Round l to the nearest 100000.
0
Let p = 20.2999585 + -20.3. Round p to 5 dps.
-0.00004
Let o = 43 - 10. Suppose 0 = -2*s + o + 159. Round s to the nearest ten.
100
Suppose 4*s - c - 16 = 0, 0 = -s - 4*c + c + 4. Suppose 5*j - j + 2280000 = 4*n, -s*n + j + 2280000 = 0. What is n rounded to the nearest 100000?
600000
Let v = -43.345067 + 24.444924. Let n = v - -18.9. What is n rounded to 5 decimal places?
-0.00014
Let o = -218308.15 + 213497. Let j = -4842.14963 - o. Let r = j - -31. Round r to 4 decimal places.
0.0004
Let s = 3.07 - 3. Let w = -1.3 + 1.4. Let o = w - s. Round o to 1 dp.
0
Let o = 0.024 - 0.024057. What is o rounded to 5 dps?
-0.00006
Let z = -43.999974 - -44. Round z to 6 dps.
0.000026
Let u = 236 + -236.0119. What is u rounded to three dps?
-0.012
Let j = 39.57 + -40. Let v = j - -0.381. What is v rounded to two dps?
-0.05
Suppose -3*z - 27299985 = 5*h, 4*h = 3*h + 3. Round z to the nearest one million.
-9000000
Let c = -3.5 - -1.5. Let a = c + 2.000072. What is a rounded to five decimal places?
0.00007
Let w = -1.34 - -1.2. Let y = -205 + 204.8548. Let o = w - y. What is o rounded to three dps?
0.005
Let a = 4683794 - 183794. What is a rounded to the nearest 1000000?
5000000
Let f = -17 + 16.91. Let n = -5.91 + f. Let z = n + 5.99999968. Round z to seven dps.
-0.0000003
Let t = 1 + 0. Let l be ((-4)/10)/(t/5). Let c be 561 - (-1 + l/(-1)). What is c rounded to the nearest one hundred?
600
Let f be -3 + 3 + -4 + 127. Suppose 2*c - 77 = f. Round c to the nearest 100.
100
Let g = -102 - -102.00775. What is g rounded to 3 dps?
0.008
Let k(v) = v**2 + 995. Let c be k(0). Suppose 0 = 5*m + 355 + c. Round m to the nearest 100.
-300
Let l = 249.87 - 251. Round l to one dp.
-1.1
Let n = -34.6 + 210.6. Let l = -179.075 + n. Let b = -3 - l. What is b rounded to two dps?
0.08
Let r(t) = -7*t + 0*t**2 - 5*t**2 + 4*t**2 - 6. Let o be r(-5). Suppose i - o*i = 1500000. What is i rounded to the nearest 1000000?
-1000000
Let u(l) be the second derivative of 97*l**3/6 - l**2/2 + 4*l. Let s be u(1). Let p be ((-16250)/3)/(4/s). Round p to the nearest 100000.
-100000
Let q = -30.567269 - -18.5672775. Let z = q - -12. Round z to six decimal places.
0.000009
Let l = 5.36 + -6. Let v = -0.7 - l. Let f = 0.27 - v. What is f rounded to one decimal place?
0.3
Let q = 47 + -34. Let h be 3252/q - 8/52. What is h rounded to the nearest one hundred?
300
Let x(t) = 4*t**2 - 2*t - 5. Let p be x(-7). Suppose 11*j = 6*j - p. What is j rounded to the nearest 10?
-40
Let o(c) = c**2 + 12*c + 15. Let h be o(-11). Suppose -68 = h*x + 292. What is x rounded to the nearest 100?
-100
Let u = 171 - 62. Let w = 68 - u. Let h = w + 40.9942. Round h to 3 dps.
-0.006
Let b = -0.075 + 6.175. What is b rounded to 0 decimal places?
6
Let a = 28.28 + -1418.28. Let s = a - -1388.9194. Let r = -1.07 - s. What is r rounded to three decimal places?
0.011
Let v = -1.567 + 1.04. Round v to 1 dp.
-0.5
Let p = -0.223 - -0.21268. Let x = p - -0.01. Let s = x - 0. What is s rounded to four dps?
-0.0003
Let h(q) = 1282*q**2 + 5*q - 8. Let a be h(-8). What is a rounded to the nearest ten thousand?
80000
Let s = -49.8 + 49.800201. Round s to 5 dps.
0.0002
Suppose v = 4*b + 180135 - 15620135, -4*v - 11580000 = -3*b. Round b to the nearest one million.
4000000
Let k = 9 + -9. Let v = -0.00118 - k. Round v to 4 decimal places.
-0.0012
Suppose -3*v - 71051 = -5*o, 5*v - 3*o + 118413 = -0*v. Let u = -2682 - v. Round u to the nearest ten thousand.
20000
Suppose -2*s = -i + 26800004, 2*s - 5*i + 67000020 = -3*s. Round s to the nearest one million.
-13000000
Let t = -6481.498442411 - 3.101553589. Let q = 6484.4 + t. Let k = q + 0.2. What is k rounded to five decimal places?
0
Let l = 143.34 + -141. Let z = l - 96.34. Let f = 94.47 + z. What is f rounded to 1 decimal place?
0.5
Let s = -1.5 + 1.500008. Round s to six dps.
0.000008
Let q = -37.00000135 + 37. Round q to 7 decimal places.
-0.0000014
Let t be 16469994/27 + 2/9. Round t to the nearest one hundred thousand.
600000
Let q = -3 - -2.95. Let b = -0.44 + q. What is b rounded to 1 decimal place?
-0.5
Let h be 36/9 - 0/1. Suppose 2*j - 5*s - 16 = 5, -3*s + 3 = h*j. Let x(i) = 1332*i + 4. Let q be x(j). What is q rounded to the nearest ten thousand?
0
Let o = 15 + 186. Let c = -86 + o. Let t = -114.9909 + c. What is t rounded to three dps?
0.009
Let g = 1386.09 - 1380. Let a = -0.09 + g. Let r = a + -5.999934. What is r rounded to 5 dps?
0.00007
Let h = -3.3 - -15.8. Round h to zero decimal places.
13
Let m = -0.7 - -37.7. Let q = m - 22. Let h = q + -14.999973. What is h rounded to five decimal places?
0.00003
Let u = 0.021 + -0.021147. Round u to five dps.
-0.00015
Let n = 2857693 - 2857679.00007. Let k = n + -14. What is k rounded to 5 decimal places?
-0.00007
Let l = -6 - -6. Let p be l + 0 - -24661099 - 0. Let g = p + -12561099. Round g to the nearest 1000000.
12000000
Let r = -9960 + 9959.50088. Let k = 3 - 2.5. Let h = k + r. What is h rounded to 4 decimal places?
0.0009
Suppose -u - 12 = -4*r, -2*r = 4*u - 3*r + 18. Let a = 8 + u. Let b(h) = 9*h - 4. Let s be b(a). What is s rounded to the nearest 10?
30
Let x = -13.2 - 2.8. Let c = -192 - -201.3. Let s = x + c. Round s to the nearest integer.
-7
Let l = -9717.353996 + 98.39205. Let v = 9619 + l. Let o = v + -0.038. What is o rounded to five dps?
0.00005
Let k = 53.9893 - 54. What is k rounded to three decimal places?
-0.011
Suppose -x = -4*s + 3*x, 5*x = 3*s - 6. Let f be s/(-6) - 720001/2. What is f rounded to the nearest 100000?
-400000
Suppose 5*m - m - 62516 = -2*v, -3*v + 93762 = 3*m. Let s be (4*-31 - 4)*v. Round s to the nearest 1000000.
-4000000
Let g = 13 + -14.
|
{
"pile_set_name": "DM Mathematics"
}
|
*f - f + (-3*f - 2*f + 3*f)*(2 - 4 + 3))*(1 + 1 - 1 + (3 - 5 + 1)*(1 + 1 - 4) + 2 - 6 + 3 - 8 + 14 + 3)*(3 - 4 + 0).
-33*f
Expand (-l + 0 + 0)*(1 - 1 - l**3) + l**4 - 7*l**4 - l**4 + (-1 + 1 + 2*l)*(-3*l**3 - l**3 + 6*l**3) + 5*l**4 - 42*l + 42*l.
3*l**4
Expand (165 - 19*m - 165)*(0*m - 2*m - m).
57*m**2
Expand (4 - 2 - 4)*(-6642*m**3 + 6642*m**3 + 178*m**5).
-356*m**5
Expand (-2*s + 5 + 10 - 22)*((0*s + 2*s + 0*s)*(2*s**3 + 3*s**3 - 3*s**3) + s - s**4 - s + 2*s**4 + 1 - 1).
-10*s**5 - 35*s**4
Expand (-346*h + 173*h + 15 + 172*h)*(0*h**2 + 0*h**2 + 2*h**2).
-2*h**3 + 30*h**2
Expand (2 - 2 - 2*z)*(3370*z - 1687*z - 1681*z + 500)*(1 + 1 - 1).
-4*z**2 - 1000*z
Expand (-18*f**3 + 26*f**3 + 40*f**3)*(2 + 4 - 3) + (-2*f**2 + 2*f**2 + f**2)*(5*f - 6*f - 5*f).
138*f**3
Expand (-5 - u + 5)*(u**2 - 4 + 4) + 18 + 3*u**3 - 18 + 5 - 10*u**3 - 5.
-8*u**3
Expand (-154*l**2 - 90*l**2 + 26*l**2)*(-2*l + 4 - 4)*(4 + 1 - 7).
-872*l**3
Expand (-2*y - 2*y + 5*y)*(4 + 0 - 3)*(-2*y - 5*y + 2*y)*(-6 - 12 + 10)*(-13 + 13 - 6*y).
-240*y**3
Expand -2*m + 2*m - 2*m**5 - 9*m**5 - 9*m**2 + 9*m**2 + (-2*m**2 + m**3 + 2*m**2)*(-3*m + 2*m**2 + 3*m) + 0*m**4 + 0*m**4 + m**5 + 36*m**4 - 36*m**4 - 9*m**5.
-17*m**5
Expand 2*x**4 - 2*x**4 + x**3 + 2*x**4 + (2 - 2 + 42*x**2)*(4 + 2*x**2 - 4) + 0*x**4 + 2*x**4 + 0*x**4.
88*x**4 + x**3
Expand (z - 25*z - 24*z)*(1 - 2*z - 1)*(-3*z + 3*z - z).
-96*z**3
Expand -4*n + 5*n - 3*n + (5*n + 0*n - 3*n)*(-1 + 32 + 36) - 2*n + 4 - 2*n + 5*n.
133*n + 4
Expand (553 - 1775 - 31)*((-3*z + 3*z - z**2)*(5 + z - 5) + z**3 + 0*z**3 + z**3).
-1253*z**3
Expand (43*l + 75*l - 34*l)*(2 - 2 - 2) + (-l + 5*l - 3*l)*(1 + 0 + 1).
-166*l
Expand (-5 + 5 - 17*a)*(0*a - a + 0*a)*(0*a + a + 4 - 7).
17*a**3 - 51*a**2
Expand (-3*o + 4 - 4)*(83 - 71 - 68).
168*o
Expand (-6*l**2 + 8*l**2 + l - 11*l)*(-2*l - l + l) + 4*l**3 - 5*l**3 - 2*l**3.
-7*l**3 + 20*l**2
Expand (697202*y + 1 - 697214*y + 1)*(-4*y + 0*y + 6*y).
-24*y**2 + 4*y
Expand (-7 + 6 - 11 + 1 + 1 - 3 + (-4 + 1 + 4)*(-2 + 0 + 1))*(f - 4*f - 3*f).
84*f
Expand (21 - 21 + 38)*(-4 - 4 + 5)*(-t + 4*t - 2*t).
-114*t
Expand ((0 + m + 0)*(4*m + 22*m - 4*m) - m**2 + 4*m - 4*m - 3*m**2 - 5*m**2 + 4*m**2)*(-m**2 + m - m).
-17*m**4
Expand (4 + 0 + 0)*(5 - 8*l - 3 + 3*l)*(-1 + 5*l - 3*l + 3*l).
-100*l**2 + 60*l - 8
Expand (-3*t - t + 2*t)*(-t + t - t) + 10*t**2 + t**2 + 11*t**2.
24*t**2
Expand (c**2 + 0*c**2 + 0*c**2)*(-12*c**2 + 2*c**2 + 0*c**2) + (-9 + 9 - 5*c**3)*((c - 2 + 2)*(-2 - 1 + 4) - c - c + 3*c).
-20*c**4
Expand (-h**2 + 6*h**2 - h**2)*(-70 - 5*h + 0*h + 3*h).
-8*h**3 - 280*h**2
Expand (-164*x**3 - 135*x**3 + 55*x**3)*(-2*x - 2*x + 5*x + 1).
-244*x**4 - 244*x**3
Expand (3 - 14 + 8)*(-2*k - k - 5*k).
24*k
Expand -k + k**5 + k + (0*k + 11*k + 11*k)*(-4*k**3 - 2*k**4 + 4*k**3) + 2*k**5 - k**5 - 6*k**5.
-48*k**5
Expand (-2*h**2 + 3 - 3)*(241 + 289 - 145) + 2*h**2 + 2*h**2 - 2*h**2 + (-h + 0*h - h)*(0*h - h + 3*h).
-772*h**2
Expand (-4*x**3 + 3*x**3 + 0*x**3)*(-3 + 5 - 1) + 3*x + 1572*x**2 - 1574*x**2 - 2*x**3 + 6 - 25.
-3*x**3 - 2*x**2 + 3*x - 19
Expand (4*q - q - 2*q)*(15*q**4 + 34 - 34) - 4*q**5 + 4*q + 16 - 19 - 2*q.
11*q**5 + 2*q - 3
Expand -x**3 + x**3 + x**5 + (186 + 115 + 151)*(4 - 3 - 3)*(x**5 + 0*x**5 + x**5).
-1807*x**5
Expand (-5*c**3 + 0*c**3 + c**3)*(-1130 + 1130 + 42*c**2).
-168*c**5
Expand (8*c - 13*c - 8*c + (-2*c + 2*c - 2*c)*(-4 + 2 + 0))*(474*c**3 - 4*c**4 - 474*c**3 - 4).
36*c**5 + 36*c
Expand (3 + 1 - 5)*(-79*g**3 - 8*g**3 - 25*g**3).
112*g**3
Expand (l - 4*l + 2*l)*(-l**2 - 2*l**2 + 5*l**2) + 905*l + 2*l**2 - 907*l - 3*l**3 + 0*l**2 - 5.
-5*l**3 + 2*l**2 - 2*l - 5
Expand (r**2 - 2*r**2 + 2*r**2)*(-3 + 6 + 4)*(3*r + 6*r - 5*r).
28*r**3
Expand (-37 + 24*q**4 + 37)*(-6 + 3*q + 6).
72*q**5
Expand -z**4 + 4*z**4 - 2*z**4 + (85*z**2 - 55*z**2 + 16*z - 34*z**2)*(-4*z**2 + 4*z**2 - 2*z**2).
9*z**4 - 32*z**3
Expand (-783 + 110 + 11)*(-3*a + 3*a - 2*a) + (1 + 1 - 1)*(a - 2*a - a) - a - a + a - a + 0*a - a.
1319*a
Expand (2*p**2 - 5*p**2 + 2*p**2 + (10*p - 3*p + p)*(2*p - 5*p + 5*p))*(-9 + 6*p**3 + 9).
90*p**5
Expand (-4*s - 3*s + 5*s)*(4*s**3 - 2*s**3 - s**3 - 82 + 21*s**3 + 82 + (s**3 + 2*s**3 - 4*s**3)*(0 + 4 - 5)).
-46*s**4
Expand (-9*y + y + 2*y - 4 - y + 4 + 3*y + 3*y - 7*y - y + 3 - 3 + (-1 + 4 - 1)*(-4*y + 2*y + 0*y) + 0*y - 5*y + 4*y - 1 + 1 - 2*y)*(2*y - 3*y - 2*y).
48*y**2
Expand (3 - 1 - 1)*(5*s - 11*s - 2*s) + (7*s - 2*s - 3*s)*(0 + 1 + 1) + 0*s - 4*s + 3*s.
-5*s
Expand (-t - t + t - 2*t - 2*t - 2*t + (-3*t - t - 2*t)*(-1 - 1 - 1))*(-5 + 2 + 1 + (-1 + 0 - 1)*(1 - 3 + 3) + 5 - 2 - 2 + 2 + 2 - 2).
-11*t
Expand ((2 - 1 + 0)*(-j**2 - 2 + 2) - 4*j**2 + 0*j**2 + 2*j**2 - j + j**2 + j + j**2 - j**2 - j**2 + 9*j**2 + 6*j**2 + 6*j**2)*(4*j**2 - 4*j**2 - 2*j**2).
-36*j**4
Expand (0*v**3 + 0*v**3 + v**3)*(-v + 8*v + 4*v)*(-6 + 41 - 9).
286*v**4
Expand (-3 + 1 + 0)*(15*x + 4*x**2 - 15*x)*(-1 + 4 - 7).
32*x**2
Expand -3 + y**3 - 2*y**3 + 4 + (47*y**2 - 25*y**2 + 20*y**2)*(-y - 4*y + 3*y).
-85*y**3 + 1
Expand 4*v**2 - 5*v**2 - v**2 + (-3*v + 2*v + 0*v)*(41*v + 69*v - 34*v).
-78*v**2
Expand (-j**3 + 0 + 0)*(-1 - 3 - 1) - 462*j + 11*j**3 + 462*j.
16*j**3
Expand (2*l**2 - 1 + 1)*(-2*l**3 + 3*l**3 - 3*l**3) + 314*l**5 + 4*l**2 - 13*l**2 - 2*l - 313*l**5.
-3*l**5 - 9*l**2 - 2*l
Expand -23*q**5 + 22*q**2 - 4*q**5 - 21*q**2 + (3*q**3 - 2*q**3 + q**3)*(-2 + 2 - 2*q**2) - 6*q**5 + 10*q - 10*q.
-37*q**5 + q**2
Expand (-5*m - 3 + 3)*(5 + 136 + 35).
-880*m
Expand (2*m - 3*m + 0*m)*(-75*m - 43*m - 109*m).
227*m**2
Expand (-64*n**2 + 103*n**2 + 90*n**2)*(0 + 0 + 3*n)*(-3 + 4 + 1).
774*n**3
Expand (0*m**3 - 7*m**3 - 2*m**3)*(-18*m + 7*m + 66*m).
-495*m**4
Expand -2*m**2 + 4*m**2 - 3*m**2 + ((1 - 1 + m)*(m + 3*m - 2*m) + 4*m**2 + m**2 - m**2)*((3 - 1 - 3)*(1 - 1 - 2) + 8 - 2 + 0).
47*m**2
Expand (22*t**3 - 22*t**3 - 4*t**4)*(-2 - 4*t + 2) + (t**2 + 3*t**2 - 6*t**2)*(-t**3 - 2*t**2 + 2*t**2).
18*t**5
Expand ((-12*c + 26*c + 47*c)*(2*c + 2*c - 3*c) - c**2 + 0*c + 2*c - c**2)*(-7 - c**2 + 7).
-59*c**4 - 2*c**3
Expand ((1 - 3 + 4)*(-2*v**2 - 2*v**2 + 2*v**2) - 3*v + 3*v - v**2 + 4*v + 4*v**2 - 4*v + 2*v**2 - 4*v**2 + 0*v**2)*(6 - 1 - 4).
-3*v**2
Expand (39*b + 23*b - 17*b + (3 - 2 - 2)*(-4 + 1 + 2)*(66 - 9*b - 66))*(-2*b**3 + 2*b**3 - 2*b**3).
-72*b**4
Expand ((-4*x + 5*x - 3*x)*(-4*x + 4*x + 3*x) + x**2 - 2*x + 2*x)*(-9*x**3 - 7*x**3 + 2*x**3).
70*x**5
Expand (-j - j + j)*(-1 - 5 - 27) + (0 + 0 - 1)*(-4*j + 4*j + j) + (-1 + 4 + 1)*(-j + 2*j + 0*j) + 2*j + 0*j - 4*j.
34*j
Expand 4*c**2 - 2*c**2 + 3*c**2 + c**2 + 2*c**2 - 4*c**2 + ((4*c + 0*c - 3*c)*(2*c + 0 + 0) + c**2 + 4*c**2 + 4*c**2)*(-3 + 6 - 1).
26*c**2
Expand (-24 + 24 + 8*z**2 + (-5 - 3 + 2)*(5*z**2 - 2*z**2 - 2*z**2))*(2*z - 4*z + 3*z) - 3*z**3 + 2*z**3 + 3*z**3.
4*z**3
Expand -2*b**5 + 3*b**5 - 2*b**5 - 2*b**5 + 4*b**5 + 0*b**5 + (2 + 0 - 4)*(3*b**5 + 3*b**5 - 2*b**5) + 0*b**4 + 0*b**4 - b**5.
-8*b**5
Expand (-3*w - 2*w + 3*w)*(-11 + 8 - 5)*(1 - 4 + 2).
-16*w
Expand (4*h**2 - 3*h**2 - 3*h**2)*(-29*h - 25*h + 10*h)*(3*h + 6*h - 4*h).
440*h**4
Expand (-3*p - 3*p + 5*p)*(142 + 76 - 42).
-176*p
Expand (-a**2 - 2*a**2 + 2*a**2)*(147*a**2 - 247 + 247).
-147*a**4
Expand (-1 + 2 + 0)*(-2*w + 1 - 1)*(-4*w - 6*w + 14*w)*(2*w + 9*w**2 - 2*w + (-2*w + w - w)*(-2*w + 2*w - w)).
-88*w**4
Expand -3*c**4 + 5*c**4 + 13*c**4 + 1 - 1 + c**4 + (-c**3 + 11*c**3 + 2*c**3)*(-2 + 2 - 2*c).
-8*c**4
Expand 2*t**2 - 2*t**2 - 4*t**2 + (-2*t + 4*t + 0*t)*(1 - 2*t - 1) + (-1 + 1 - 2*t)*(15*t - 478 + 478).
-38*t**2
Expand (i**3 - 8*i**3 + 2*i**3)*(4 + 9*i - 13*i + 7*i).
-15*i**4 - 20*i**3
Expand (0*q + 5*q - 3*q)*(61 + 698 + 13).
1544*q
Expand (36 - 9*l - 36)*(2*l**2 - l**2 + l**2)*(l**2 - 11*l**2 + 6*l**2).
72*l**5
Expand -18*m**5 + 34*m**5 - 28*m**5 + (2*m + 0*m - 4*m)*(-2*m**3 + 2*m**3 - 3*m**4).
-6*m**5
Expand -121*r**2 + 8*r**3 + 121*r**2 + (2*r + 0*r + 0*r)*(7*r**2 - r**2 - r**2).
18*r**3
Expand (41 - 55 - 55)*(-2*z + z**2 + 2*z).
-69*z**2
Expand 3 - c - 3 + (-3*c - c + 3*c + (-5 + 1 + 3)*(5*c - 2*c - c) - c - c + 0*c - c + 2*c + 0*c)*(-737 + 1656 - 704).
-861*c
Expand (-4*w**4 + 87*w**3 - 87*w**3)*(5*w - 7*w + 4*w) - 2*w**2 + 2*w**2 + w**5.
-7*w**5
Expand (5 - 4 + 0)*(56*w - 48*w**3 - 57*w - 6*w**3).
-54*w**3 - w
Expand (-4*l + 5*l + 0*l - 2)*(-3*l**2 + 89 - 192 + 106).
-3*l**3 + 6*l
|
{
"pile_set_name": "DM Mathematics"
}
|
*u + 5 = 0. Determine u*x(d) + 6*g(d).
d**2 - 1
Let s(j) = -9*j - 1. Let c(a) be the first derivative of a**4/6 + a**3/6 + 9*a**2/2 - 1. Let l(y) be the second derivative of c(y). What is 5*l(w) + 2*s(w)?
2*w + 3
Let a(b) = -3*b**3 + 3*b - 2. Let m(g) = -3*g**3 - 4*g**2 + 3*g - 3. Let s(f) = 2*f**3 + 3*f**2 - 2*f + 2. Let d(p) = -3*m(p) - 4*s(p). Determine a(n) + d(n).
-2*n**3 + 2*n - 1
Let x(l) = -l**3 - 13*l**2 + 15*l + 17. Let n be x(-14). Let r(d) = 4*d**3 + 3*d**2 - 5. Let u(s) = -6*s**2 + s**2 - 8*s**3 + 9 + s**3. What is n*u(a) + 5*r(a)?
-a**3 + 2
Suppose 28 = -5*s + 2*d, -5*s + 0*s = 4*d + 4. Let x(z) = -6*z + 3. Let n(i) = -7*i + 4. What is s*n(p) + 5*x(p)?
-2*p - 1
Let o(j) = 2*j**2 - 2*j - 1. Let r(i) = i**2 + 1. Determine -o(g) - 3*r(g).
-5*g**2 + 2*g - 2
Let a(i) = -13*i - 3. Let w(m) = 25*m + 6. What is 11*a(b) + 6*w(b)?
7*b + 3
Let b(n) = -4*n + 13. Let l be (14/(-4))/((-1)/2). Let a(g) = -l + 0*g + 3 + g. Determine 7*a(x) + 2*b(x).
-x - 2
Let u(i) = -40*i**2 + 5*i + 5. Let r(h) = -20*h**2 + 3*h + 3. Calculate -5*r(v) + 3*u(v).
-20*v**2
Let k(s) = -s**2 + 2*s - 3. Let u(p) = 5*p**2 - 8*p + 11. Determine 9*k(c) + 2*u(c).
c**2 + 2*c - 5
Let h(q) = 13*q - 4*q - 1 - 8*q. Let k(n) = 2. What is 2*h(x) + k(x)?
2*x
Let q(l) = -3*l + 1. Let r(m) = -m**2 - m + 1. Let y be r(-4). Let i(v) = -36*v + 6 + 6*v + 14*v. Calculate y*q(b) + 2*i(b).
b + 1
Let r(n) = n + 5. Let h(w) = w. Calculate 2*h(t) - r(t).
t - 5
Let o(s) = -4*s. Suppose 4*b - 32 = z, -22 = -b + 5*z + 5. Let y(j) = j + b*j - j. Determine -11*o(m) - 6*y(m).
2*m
Let h(x) = x**2 + 3*x + 6. Let a be (-43)/(-7) - (-7)/(-49). Let p(c) = -3*c**2 - 8*c - 17. Determine a*p(k) + 17*h(k).
-k**2 + 3*k
Let m(u) = -9*u - 11. Let a(h) = 3*h + 5 + 4*h - 3*h. Let g(j) = -4*j + 30. Let t be g(6). Determine t*m(l) + 13*a(l).
-2*l - 1
Let a(w) = -2*w**3 + 6*w**2 + 8*w + 9. Let o(n) = n**2 + n + 1. What is -a(y) + 6*o(y)?
2*y**3 - 2*y - 3
Let h(x) = -x + 1. Let s(b) = -b - 7. Give -2*h(l) - s(l).
3*l + 5
Let j(p) be the first derivative of 5*p**3/3 - 3*p + 9. Let q(m) = m**2 - 1. Calculate -2*j(t) + 6*q(t).
-4*t**2
Let h(g) = -6*g**3 + 8*g**2 - 8*g + 8. Let a(p) = p**3 + p**2 - p + 1. Calculate -24*a(k) + 3*h(k).
-42*k**3
Let q(g) = -5*g**2 + 3. Let z(a) = a**2 - 1. Suppose -4*p = 5*o + 11, -3*p + 3 + 12 = -4*o. What is p*q(c) + 3*z(c)?
-2*c**2
Let q(k) be the first derivative of -k**3/3 + 4. Let h(c) = 5*c**2 - 2*c. Determine -h(d) - 6*q(d).
d**2 + 2*d
Let s(c) = -3*c. Let h(i) be the second derivative of -i**3/6 - 5*i. What is -11*h(w) + 4*s(w)?
-w
Let r(m) = -m + 9. Let j(n) = -2*n + 8. Determine -3*j(t) + 2*r(t).
4*t - 6
Let w(h) = -1. Let g(a) = 5*a**2 - 2*a. What is -g(t) + 3*w(t)?
-5*t**2 + 2*t - 3
Let i(x) = -x - 7. Let f(j) be the third derivative of -j**4/24 - j**3/2 + 3*j**2. Calculate -7*f(c) + 3*i(c).
4*c
Let u(z) = 88*z. Let l(s) = -59*s. Determine -8*l(m) - 5*u(m).
32*m
Let u(g) = -g**3 + g**2 + 3*g - 2. Let q(x) = -382*x**3 - x + 3 - 4*x + 0*x**2 - 2*x**2 + 384*x**3. Let k = 9 + -6. What is k*q(i) + 5*u(i)?
i**3 - i**2 - 1
Let n = -2 - -16. Let d = 13 - n. Let m(h) = -2*h**3 - 3*h. Let l(y) = y + y**3 + 0*y**3 + 0*y**3. Give d*m(g) - 3*l(g).
-g**3
Suppose -28*i + 30 = -34*i. Suppose -w = 5*b + 17, -2 = 5*b - 5*w + 3. Let g(n) = -3*n - 7. Let u(p) = 2*p + 4. Calculate b*g(v) + i*u(v).
-v + 1
Let f(l) = -4*l**2 - 2*l - 3. Let x(s) = 17*s**2 + 8*s + 12. Let k(o) = -9*f(o) - 2*x(o). Let q(p) = 1. Determine -k(n) + 2*q(n).
-2*n**2 - 2*n - 1
Suppose l = -5*o - 17, -7*o + 1 = -6*o - 2*l. Let c(f) = -f**2 - 3*f. Let g(b) = 4 - b - b**2 - 4. Give o*g(v) + c(v).
2*v**2
Let t(n) = -22*n - 7. Let z(r) = -5*r - 2. Calculate -6*t(g) + 22*z(g).
22*g - 2
Let u(j) = -3*j**2 - 8*j - 5. Let o(h) = -4*h**2 - 9*h - 6. Let v(i) = -4*o(i) + 5*u(i). Let f(p) = -p**2 + 3*p + 1. What is -6*f(t) - 5*v(t)?
t**2 + 2*t - 1
Let d(h) = 1. Let k be -2*2/(-4) + 0. Let t(c) = 1. Let a(z) = -z + 1. Let j(f) = k*a(f) - 5*t(f). Let m = -3 - -2. What is m*j(i) - 6*d(i)?
i - 2
Let l(g) = -32*g**3 - 10*g**2 + 10*g. Let c(j) = j**3 + j**2 - j. Determine -20*c(s) - 2*l(s).
44*s**3
Let c(l) = 13*l**2 - 9. Let k(v) = v**3 - 3*v**2 + 4*v - 3. Let j be k(3). Let x(y) be the second derivative of -y**4/4 + y**2 + 2*y. Give j*x(f) + 2*c(f).
-f**2
Let r(o) = 3*o + 25. Let j(n) = 2*n + 13. Calculate 5*j(f) - 3*r(f).
f - 10
Let a(q) = 2*q**2 - 3*q. Let n(o) = -2*o**2 + 2*o. Let c(w) = -7*w - 2. Let s be c(-1). Determine s*n(k) + 4*a(k).
-2*k**2 - 2*k
Let y(q) = -8*q + 5. Let m(v) be the third derivative of -v**4/24 + v**3/6 - 6*v**2. Let t be (5 - 2) + -2 - -5. Calculate t*m(i) - y(i).
2*i + 1
Let v(t) = -t**2 - t - 1. Let p = -24 + 23. Let q(x) = 4*x**2 + 6*x + 6. Calculate p*q(o) - 6*v(o).
2*o**2
Let q(d) = 2*d. Let g(h) = -33*h**2 + 54*h. Determine 2*g(s) - 54*q(s).
-66*s**2
Let r(f) = -6*f**2 - 4*f - 4. Let v(a) = -a**2 - a - 1. Suppose 135 - 115 = -5*c. Determine c*v(i) + r(i).
-2*i**2
Let j = -6 + 9. Let y(g) = -4*g - 7. Let w(h) = -2*h - 3. Calculate j*y(m) - 7*w(m).
2*m
Let c(w) = -3*w**3 - 3*w**2 - 4*w + 1. Let k(i) = i**3 + i**2 + i - 1. Determine c(z) + k(z).
-2*z**3 - 2*z**2 - 3*z
Suppose 52 = -5*r + b, 2*r + 2*b + 39 = -r. Let p(v) = 2*v**3 + 5*v**2 - 4*v + 2. Let s(c) = -6*c**3 - 14*c**2 + 11*c - 6. Give r*p(k) - 4*s(k).
2*k**3 + k**2 + 2
Let a(n) = 10*n - 1. Let p(w) = -5*w + 1. Calculate 3*a(c) + 5*p(c).
5*c + 2
Let h(u) = -u + 1. Let f(l) = l**3 - 4*l**2 - 2*l + 2. Let x be f(5). Let m = x + -9. Let n(t) = -3*t - 3 + 0 + 5. What is m*h(q) - 3*n(q)?
q + 2
Suppose -4*b = -5*l + 42, -l + 7 = -2*b - 5. Let d(y) = -3*y**2 + 5*y + 7. Let m(c) = -4*c**2 + 6*c + 8. Calculate l*d(w) - 5*m(w).
2*w**2 + 2
Let b(t) = -11*t**2 - 3*t + 5. Let r be (-20)/(-8)*((-8)/2)/(-2). Let s(u) = -7*u**2 - 2*u + 3. Calculate r*b(n) - 8*s(n).
n**2 + n + 1
Suppose -8 = 2*v - 34. Let o = -14 + v. Let d(z) = 4*z - 2. Let j(i) = i - 1. Calculate o*d(w) + 3*j(w).
-w - 1
Let g(k) = k. Let r be g(3). Let z(j) = 7*j - 4*j + r + 0*j**2 + 2*j**2. Let o(s) = -2*s**2 - 2*s - 2. Determine 3*o(t) + 2*z(t).
-2*t**2
Let k(a) = 1. Let v = -4 - -8. Suppose 0 = -5*t + 3*h - 3, 3*t - 13 = 2*t + v*h. Let w(f) = -f - 8. Determine t*w(c) - 24*k(c).
3*c
Let a(t) = t - 1. Let c be (-9)/(-6) + 2/(-4). Suppose -d + c = 4*q + 10, 2*q = 4*d + 18. Let i(y) = -2*y**2 + 5*y - 5. Determine d*a(k) + i(k).
-2*k**2
Let d be (4/(-10))/(4/40). Let t(s) = -4*s**3 - 7*s**2 + 7. Let y(n) = -2*n**3 - 4*n**2 + 4. What is d*t(b) + 7*y(b)?
2*b**3
Let a(k) = -16*k + 40. Let v(j) = 5*j - 13. Let m(o) = -3*a(o) - 10*v(o). Let c(i) = i - 4. Calculate -12*c(b) - 5*m(b).
-2*b - 2
Let l(w) = 4*w**2 + w. Let a(m) = -6*m**2 - 9 + 9 + 9*m**2. Give 6*a(c) - 4*l(c).
2*c**2 - 4*c
Let y = -17 - -22. Let g(c) = -22*c**2 + 16. Let s(a) be the first derivative of 7*a**3/3 - 5*a + 1. Give y*g(p) + 16*s(p).
2*p**2
Let t(x) = -x - 1. Let p(o) be the first derivative of -o**4/4 + 2*o**3/3 + o**2 + 4*o - 15. Give p(z) + 2*t(z).
-z**3 + 2*z**2 + 2
Suppose 2 = n + v, 2*n + 0*n - v = 13. Let u(b) = -3*b - 2. Let w(p) be the third derivative of p**4/6 + p**3/2 - 7*p**2 - 3*p. Calculate n*w(l) + 7*u(l).
-l + 1
Let f(u) = -5*u**2 + u + 6. Let w(g) = -17*g + 6*g + 5 - 4*g**2 + 12*g. Let d = -8 - -5. What is d*f(i) + 4*w(i)?
-i**2 + i + 2
Let b(c) be the third derivative of c**5/15 - 5*c**4/24 + 22*c**2. Let i(v) = -3*v**2 + 4*v. Let k be 0 - (0 - (-2 - 3)). Give k*b(f) - 6*i(f).
-2*f**2 + f
Let r(v) = 9*v - 14. Let g(m) = -3*m + 5. Give 17*g(b) + 6*r(b).
3*b + 1
Let o(q) = 7*q - 7. Let n(z) = -14 + 2 + 15*z - 3. Let w be (1/(-1))/(6/(-36)). Determine w*n(i) - 13*o(i).
-i + 1
Let p(c) = c**3 - 2*c**2 + 6*c + 2. Let h(b) = b**3 - 2*b**2 + 7*b + 2. Determine 6*h(u) - 7*p(u).
-u**3 + 2*u**2 - 2
Suppose -5*l - 13 = 4*w, -3*l + l - 22 = 4*w. Let o(b) = -5*b**2 - 2*b + 1. Let d(k) = -9*k**2 - 4*k + 2. Calculate w*o(u) + 4*d(u).
-u**2 - 2*u + 1
Let f(g) = -3*g - 5. Let n(o) = 8*o + 15. Determine -17*f(y) - 6*n(y).
3*y - 5
Let j(f) = -16*f + 43. Let q(b) = 11*b - 29. Calculate -5*j(g) - 7*q(g).
3*g - 12
Let u(k) = -4*k**2 + 9*k + 13. Let r(z) = 2*z**2 - 5*z - 6. Calculate -5*r(v) - 3*u(v).
2*v**2 - 2*v - 9
Let v(y) = y - 7. Let o(c) = -c + 7. Give -5*o(m) - 6*v(m).
-m + 7
Let f(d) = 7*d - 4. Let n(z) = -15*z + 7. Give 7*f
|
{
"pile_set_name": "DM Mathematics"
}
|
s in -21*h**2 + 34*h + 46*h**2 - 25*h**2 + 28*h**3.
28*h**3 + 34*h
Collect the terms in 52*u**2 + 20*u**2 - 60*u**2 - 229*u**2 - 193*u**2.
-410*u**2
Collect the terms in -64*b - 31*b - 2*b.
-97*b
Collect the terms in 161 - 43*d**2 - 162 + 4*d**2 - 11*d**2.
-50*d**2 - 1
Collect the terms in 156804 - 156804 + 2*u**2 - 10*u**2 - 18*u**2.
-26*u**2
Collect the terms in -2477 + 3*t**3 + 2477.
3*t**3
Collect the terms in 32 + 37 + 13 + 17 - p.
-p + 99
Collect the terms in 347*t**2 + 386*t**2 + 77*t**2 - 194*t**2.
616*t**2
Collect the terms in -2*w + 3*w + 11 - 59.
w - 48
Collect the terms in -790*z**3 + 300*z**3 + 462*z**3.
-28*z**3
Collect the terms in 7 - 4*n + 9 + 7 - 30 + 4.
-4*n - 3
Collect the terms in 26*p**2 + 13*p + 4*p - 20*p + 3*p.
26*p**2
Collect the terms in -7*c**2 - 59353959*c + 59353959*c.
-7*c**2
Collect the terms in v**2 - 1493 - 16*v**2 + 3000 - 7*v**2 - 1486.
-22*v**2 + 21
Collect the terms in -50*n**3 - 46*n**3 - 59*n**3 + 186*n**3 - 50*n**3.
-19*n**3
Collect the terms in -2*z**2 + 2*z**2 + 1291*z**3 - 1297*z**3 + 26 - 18.
-6*z**3 + 8
Collect the terms in 356*t**2 - 661*t**2 + 321*t**2.
16*t**2
Collect the terms in 18 - 7 + 9834*v - 9867*v.
-33*v + 11
Collect the terms in -3*j + 48*j**2 + 27*j**2 - 10*j**2.
65*j**2 - 3*j
Collect the terms in -33*j**2 + 4*j - 109*j**2 - j**3 - 2*j**3 + 2*j**3.
-j**3 - 142*j**2 + 4*j
Collect the terms in -46*v + 13*v - 192*v.
-225*v
Collect the terms in -208 - 210 - 29*u + 422.
-29*u + 4
Collect the terms in -1389*r - 112*r - 345*r - 82*r.
-1928*r
Collect the terms in 269*v + 47*v + 17*v.
333*v
Collect the terms in -2*k**2 + 143 - 6*k + 9*k - 5*k.
-2*k**2 - 2*k + 143
Collect the terms in 103*z + 156*z + 81*z.
340*z
Collect the terms in 13*k**3 - 409855505 - 19*k**3 + 409855505.
-6*k**3
Collect the terms in -l - 4*l + 571*l**3 - 605*l**3 + 5*l + 0*l.
-34*l**3
Collect the terms in 114 - 400*f + 401*f - 114.
f
Collect the terms in -9*c**2 + 0*c**3 - 39*c**2 + 32*c**2 + 2*c**3.
2*c**3 - 16*c**2
Collect the terms in -1018*q**2 - 795*q**2 + 1834*q**2.
21*q**2
Collect the terms in 3 + 174*w + 188*w - 71*w.
291*w + 3
Collect the terms in 3*l**2 + 9354633 - 4677318 - 4677315.
3*l**2
Collect the terms in 83*o**2 + 21891 + 67*o**2 - 21891.
150*o**2
Collect the terms in 8*g - 1889 + 1889 + 4*g.
12*g
Collect the terms in 23*t + 3165*t**2 - 6*t - 17*t + 3171*t**2 - 6338*t**2.
-2*t**2
Collect the terms in -21179*x**2 + 42385*x**2 - 21187*x**2.
19*x**2
Collect the terms in -9*b - 9*b + 18*b + 1716*b**2.
1716*b**2
Collect the terms in 4787*x**2 - 2125*x**2 - 6*x**3 - 2662*x**2.
-6*x**3
Collect the terms in 239*t - 92*t - 2*t**2 + 332*t.
-2*t**2 + 479*t
Collect the terms in 453269 - 453269 - j.
-j
Collect the terms in 903*o**3 - 457*o**3 - 451*o**3.
-5*o**3
Collect the terms in 45*h - 149*h - 104*h - 60*h - 7*h.
-275*h
Collect the terms in -847 + 897*n + 847.
897*n
Collect the terms in 3979 - 7954 + 3975 - p.
-p
Collect the terms in 3 + 745*s - 1 - 897*s + 438*s.
286*s + 2
Collect the terms in 608*a - 3 + 619*a - 1215*a.
12*a - 3
Collect the terms in -12*f**3 + f**3 - 12*f**3 + 21*f**3 + 11 - 11.
-2*f**3
Collect the terms in -630*z**3 - 1163*z**3 + 412*z**3 - 1103*z**3.
-2484*z**3
Collect the terms in -26872499 + 26872499 - 3*b - 8*b.
-11*b
Collect the terms in 364*d + 46 - 324*d + 6.
40*d + 52
Collect the terms in -1759 + 1759 + a**2 + 90*a.
a**2 + 90*a
Collect the terms in 74329*y**3 + 74254*y**3 - 148578*y**3.
5*y**3
Collect the terms in 479*m**2 + 2494*m**2 - 279*m**2.
2694*m**2
Collect the terms in -1241*j + 25*j**2 + 1241*j + 102*j**2.
127*j**2
Collect the terms in -488*c**3 + 182*c**3 + 127*c**3 + 177*c**3.
-2*c**3
Collect the terms in 1195*o**3 - 324*o**3 - 874*o**3.
-3*o**3
Collect the terms in 700*q**3 - 140*q**3 + 3623*q**3.
4183*q**3
Collect the terms in 10*r**2 - 32*r**2 - 11*r**2 + 40*r**2.
7*r**2
Collect the terms in 21*c - 5*c + 7*c + 3 - 2 + 22*c.
45*c + 1
Collect the terms in -27*v - 11*v + 5*v + 13 - 13.
-33*v
Collect the terms in -308*p - 305*p + 610*p.
-3*p
Collect the terms in 93*s**3 - 79*s**3 + 46*s**3 + 108*s**3.
168*s**3
Collect the terms in 37 + 11*t**3 + 2 - 39 - t + 14*t**2 - 14*t**2.
11*t**3 - t
Collect the terms in -28*w**2 - 18*w**2 + 13*w**2 - 26*w**2 + 60*w**2.
w**2
Collect the terms in 226*m**3 + 159 + 113*m**3 - 50*m**3 - 159.
289*m**3
Collect the terms in -3 - 19*k + 5 - 48*k - 22*k.
-89*k + 2
Collect the terms in 17*l**2 + l**3 - 46*l**2 + 29*l**2 - 6*l**3.
-5*l**3
Collect the terms in -21*q**2 + 5 - 635*q + 99*q - 5.
-21*q**2 - 536*q
Collect the terms in -5*p - 568 + 5*p + 5*p - 400.
5*p - 968
Collect the terms in 21*j**2 - 4*j**2 + 24*j**2 + 16*j**2.
57*j**2
Collect the terms in 2 + 4 - 5*v + 77*v**2 + 2*v - 72*v**2.
5*v**2 - 3*v + 6
Collect the terms in -588807*c - 5 + 588820*c + 5.
13*c
Collect the terms in 18*l**2 + 1668*l - 1 - 626*l + 1 - 1042*l.
18*l**2
Collect the terms in 624*b + 98*b + 450*b - 40*b.
1132*b
Collect the terms in 135*y + 5*y**3 - 2*y**3 - 118*y - 650*y.
3*y**3 - 633*y
Collect the terms in 16*y + 1269 - 14*y - 1269 - 80*y**2.
-80*y**2 + 2*y
Collect the terms in 3222*k**3 + 169*k**2 - 168*k**2 + 4*k - 4*k.
3222*k**3 + k**2
Collect the terms in -4 - 10*b**2 - 2 + 6.
-10*b**2
Collect the terms in 2582 - 1299 + z**3 - 1283.
z**3
Collect the terms in 9*m**3 - 117*m**2 + 6*m**3 + 454*m**2.
15*m**3 + 337*m**2
Collect the terms in 120*p**3 - 87*p**3 + 124*p**3 + 54*p**3 + 98*p**3.
309*p**3
Collect the terms in -14 + 380*x**2 - 59*x**2 - 10 + 24.
321*x**2
Collect the terms in -84 + 65 - 313*x + 310*x.
-3*x - 19
Collect the terms in -1147*j - 233*j**3 + 234*j**3 + 1147*j.
j**3
Collect the terms in 32*d + 247*d + 3*d**2 - 35*d.
3*d**2 + 244*d
Collect the terms in 162 + 6608*x - 162 - 6610*x.
-2*x
Collect the terms in -2*o - 200 - o + 145.
-3*o - 55
Collect the terms in -4349362 + 4349362 + 2*c**3.
2*c**3
Collect the terms in -203*l**3 - 24*l + 202*l**3 + 24*l.
-l**3
Collect the terms in 130*t**2 - 48*t**2 - 18*t**3 - 83*t**2.
-18*t**3 - t**2
Collect the terms in -834 + 1673 + 24841*v - 839.
24841*v
Collect the terms in -5629*s + 2820*s + 2800*s.
-9*s
Collect the terms in 3318811 - 3318811 + 58*g.
58*g
Collect the terms in 5998 + 0*o + 3*o + 14*o - 11987 + 5989.
17*o
Collect the terms in -348*a + 776*a + 228*a.
656*a
Collect the terms in 519*u**3 + 250*u**3 - 770*u**3 - 1.
-u**3 - 1
Collect the terms in -2*x + 34 + 0*x + 54 + 50 - 48.
-2*x + 90
Collect the terms in -3*o**2 + 187*o**3 - 383*o**3 - 346*o**3.
-542*o**3 - 3*o**2
Collect the terms in 5492 - 16*d - 5492 + 3*d + 14*d.
d
Collect the terms in -2*b + 0*b - 20*b - 3*b + 26*b + b.
2*b
Collect the terms in 18185*v - 18185*v - v**2 - 9*v**2.
-10*v**2
Collect the terms in -227*j**3 + 64*j**3 + 82*j**3 + 83*j**3.
2*j**3
Collect the terms in -3 + 897*t**3 - t**3 + 4.
896*t**3 + 1
Collect the terms in 5*y + 14 - 99 + 85.
5*y
Collect the terms in 6265*b**2 - 40664*b**2 - 19289*b**2.
-53688*b**2
Collect the terms in 512*s**3 - 483*s**3 - 32*s**3.
-3*s**3
Collect the terms in 2*l - l - l**2 + 195 - 5*l + 225.
-l**2 - 4*l + 420
Collect the terms in 52*i - 36*i**2 + 41*i**2 - 9*i**2 - 52*i.
-4*i**2
Collect the terms in -3 + 3 + 85*p - 4 + 21*p.
106*p - 4
Collect the terms in -6*n**2 + 6*n**2 - 29*n**3 - 26*n**3 - 5*n**2 + 5*n**2.
-55*n**3
Collect the terms in -19570*n - 19636*n + 39200*n.
-6*n
Collect the terms in 1383*r - 698*r - 680*r.
5*r
Collect the terms in -57407*d**3 + 114806*d**3 - 57402*d**3.
-3*d**3
Collect the terms in 5543*a**3 + 5187*a**3 - 10691*a**3.
39*a**3
Collect the terms in 1265*m - 1265*m - 28*m**3 + 26*m**3.
-2*m**3
Collect the terms in -116*i + 9*i + 53*i - 191*i.
-245*i
Collect the terms in 262*n - 2781 + 2781.
262*n
Collect the terms in 112*c + 110*c + 113*c + 110*c - 540*c + 110*c.
15*c
Collect the terms in -2027*w**2 - 126*w**3 + 2028*w**2 + 22*w**3.
-104*w**3 + w**2
Collect the terms in -579*l**2 - 947*l**2 - 1354*l**2.
-2880*l**2
Collect the terms in -9 + 6 - 37*v**2 - 2 + 5.
-37*v**2
Collect the terms in 28 - 19*n + 9*n + 24*n**3 + 9*n - 28.
24*n**3 - n
Collect the terms in -576*x**2 + 2 - 573*x**2 - 570*x**2 + 1710*x**2.
-9*x**2 + 2
Collect the terms in -17*j**2 - 12*j - 5*j - 9 + 17*j.
-17*j**2 - 9
Collect the terms in -67 + 63 - 10*h - 19*h.
-29*h - 4
Collect the terms in -134*w + 22*w
|
{
"pile_set_name": "DM Mathematics"
}
|
igit of d?
9
Let q(c) = -2*c**2 + 4*c + 2. Let g be q(2). What is the units digit of -4*1/g + 1*107?
5
Suppose -18*k + 51588 = -3366. What is the tens digit of k?
5
Let c be (-1)/(1/2) + 6. Suppose -12 = -2*f - 3*w, c*f - 7 - 29 = -3*w. What is the tens digit of 126/f - (-1)/2?
1
Let r(k) = -9*k**2 + 6*k + 6. Let m(f) = 4*f**2 - 3*f - 3. Let u(j) = -13*m(j) - 6*r(j). What is the units digit of u(-2)?
5
Let f = -453 - -479. What is the tens digit of f?
2
Let a be (9/2 - -1)*-2. Let x = 14 + a. Suppose -x*y = -17 + 2. What is the units digit of y?
5
Let j = -782 + 1266. Suppose -2*y + j = 2*d, -4*y + 3*d + 324 = -623. What is the tens digit of y?
3
Suppose -9*m + 626 + 643 = 0. Let u = -78 + m. What is the tens digit of u?
6
Let a = 4 + -2. Suppose -25 = 8*u - 89. Suppose -a*m - u = -6*m. What is the units digit of m?
2
Suppose 0 = 6*c - 4*c - 4. Suppose 0 = -h - 2*x - 3*x + 89, -c*h - 5*x = -163. What is the tens digit of h?
7
Suppose 13 = 3*z + 1. Suppose 3*k + 8 = -r + 6*k, -z*k = 5*r - 36. Suppose -r*i + 1 = -27. What is the units digit of i?
7
Suppose -9*o - 14 = -16*o. What is the units digit of (1/o)/(5/260)?
6
Let s(m) be the second derivative of -m**5/30 - 5*m**4/24 + m**3 - 4*m. Let y(g) be the second derivative of s(g). What is the units digit of y(-3)?
7
Let j be (-12)/(-54) - 210/(-27). Let y be (-9)/((-252)/j)*14. Suppose -88 = 2*a - y*a. What is the tens digit of a?
4
Let v be 8 - 18 - (0 + 1). Suppose 0 = -4*d + 29 + 99. Let t = d + v. What is the tens digit of t?
2
Let p(s) = -4*s**3 - 17*s**2 - 86*s - 4. What is the units digit of p(-8)?
4
Suppose -20*r + 40907 = -46753. What is the hundreds digit of r?
3
What is the tens digit of (0 - (-1 + 55))*(-1392)/96?
8
Suppose 0 = -2*j + 4*j - 4. Let w be (j/6)/(2/996). Suppose w = 6*t - 56. What is the tens digit of t?
3
Suppose -2*k = -63 + 7. Suppose -48 = -2*q + k. What is the units digit of q?
8
Let k be -6 + 6 + (-13 - -2). Let g(l) = -l**3 - 9*l**2 + 16*l - 1. What is the tens digit of g(k)?
6
Let w(y) = y**2 + 2*y. Suppose 6*x - 4 = 8*x. Let v be w(x). Suppose 7 = -h + 2, v = r + 2*h - 10. What is the units digit of r?
0
Suppose 16*f - 3485 = 13*f - 5*x, -4*x = -3*f + 3503. What is the units digit of f?
5
Suppose -9*m + 94 + 59 = 0. Let c(o) = 4 + m*o - 7*o - 12*o. What is the units digit of c(-2)?
8
Let k(h) = -10*h**3 - h**2 + 3*h + 10. What is the hundreds digit of k(-3)?
2
Let t(s) = 4*s**2. Suppose 4*u - 9*u + 5 = 0. Let y be t(u). Suppose 0 = -y*h - 3*f + 31, -2*h = -0*h - 4*f - 32. What is the tens digit of h?
1
Let x(a) = a + 6. Suppose 7*z = 8*z - 4. Suppose -2*j = -z*j. What is the units digit of x(j)?
6
What is the hundreds digit of (-4 - 5) + 11 - (-318 + 0)?
3
Let p(t) = t**3 + 25*t**2 + 26*t + 157. What is the thousands digit of p(-22)?
1
Let t = -8 + 11. Suppose -8*o = -t*o. Suppose 2*x - 4*p - 40 = o, p = 4*x - p - 68. What is the tens digit of x?
1
Let y = 102 - 122. What is the tens digit of (-7)/((-56)/y)*-6?
1
Let t(b) = -b**3 + 7*b**2 - 8*b + 1. Let x be 24/(-9)*(-9)/6. What is the tens digit of t(x)?
1
Let h be 114/(-15) - 10/25. What is the tens digit of 115/2 - 4/h?
5
Suppose -12*j + 6799 + 401 = 0. Let w = j - 296. What is the units digit of w?
4
Let x be (-1)/(9/10 - 4/10). What is the units digit of -2*1*x - (-5 + -3)?
2
Suppose -5*a + 4 = -2*z, 4*a + 8 = -3*z + 25. Let x be a/(-6) - (-260)/(-12). Let i = 39 + x. What is the units digit of i?
7
Let q = 115 - 206. What is the tens digit of (-4 - -3)*(q + -1)?
9
Suppose -4*b + 199 + 2361 = 0. Suppose -2*j - 2*c - b = -4*j, -5*j + 3*c = -1610. What is the tens digit of j?
2
Let y(x) = x**3 + 7*x**2 + 2*x. Let w be y(-7). Let t be 44/77 - 580/w. Let o = t - 25. What is the tens digit of o?
1
Suppose -n = 4*g + 8, 3*n + g + 2 = -0*g. Suppose n = -3*a + 8*a. Suppose u - 19 + a = 0. What is the tens digit of u?
1
Suppose -6*y + 2*y = 0. Suppose y = -5*i + 135 + 95. What is the units digit of i?
6
Let w be 1*(-1 + -1 + -1). Let f(x) = -28*x + 12. What is the units digit of f(w)?
6
Suppose 2*t - 9 + 5 = 0. Let i be -11*1 + 2/t. What is the units digit of i*-22*3/12?
5
Let t(v) = 3*v**2 - 5*v + 6. Let a(x) = -3*x**2 + 5*x - 6. Let l(q) = -4*a(q) - 3*t(q). What is the units digit of l(4)?
4
Suppose 240 + 255 = 5*n. Suppose 2*u = -u + n. What is the tens digit of u?
3
Let v be ((-4)/(-3) + (1 - 4))*-3. Suppose 3*r + 186 = 2*d, d = v*d + 2*r - 404. What is the units digit of d?
9
Let i = 4693 - -118. What is the thousands digit of i?
4
Suppose 5*p = 4*t + 1021, -3*t - 3*p - 1013 = t. Let k = -74 - t. What is the units digit of k?
0
Suppose 53*n - 61*n = -192. Let k be -2 + 4 + -3 + -1. Let f = k + n. What is the tens digit of f?
2
Suppose -4*k - 23 = -5*b, -k + 10*b - 17 = 5*b. Let a be (-1)/(k*(-3)/(-18)). Let n(m) = 2*m**2 + 4*m - 7. What is the tens digit of n(a)?
2
Let m = 63 - 17. What is the tens digit of m?
4
Let a = 241 + -165. Suppose -2*q = 2, 5*k + 134 = -9*q + 5*q. Let c = k + a. What is the tens digit of c?
5
Let u(t) = -18*t - 8. Let o(m) = 19*m + 7. Let q(i) = -3*o(i) - 4*u(i). What is the units digit of q(3)?
6
Let u be (-4)/(-18) - 100/(-36) - 13. Let k(a) = -a**3 - 8*a**2 + 5*a - 20. What is the units digit of k(u)?
0
What is the thousands digit of (2/(-4) - 10)*(-1636)/3?
5
What is the tens digit of ((-3)/(-7))/(41/3731)?
3
Suppose 5*c - 2*x - 53 = 993, -3*x = c - 216. Suppose -10*f + c = -4*f. Suppose 2*b + 3*b - 4*o = 166, -o = b - f. What is the tens digit of b?
3
Let n(p) = 2*p**3 + 2*p**2 - 10*p - 4. Let g be -4*1/6*-6. What is the tens digit of n(g)?
1
Let l = 45 - 37. Suppose 3*v - 2*f - 2*f - 56 = 0, v = -4*f - l. What is the tens digit of v?
1
Suppose -11*p + 16*p = -2*x + 11337, 2*p + 22662 = 4*x. What is the hundreds digit of x?
6
Let s = -4 - -7. Let i be -3 + (0 - (-9 - 4)). Suppose i = s*h - 5. What is the units digit of h?
5
Let j(n) = -n - 17. Let l(o) = -3*o + 15. Let b be l(9). Let i be j(b). Let s(x) = -x**3 - 4*x**2 - x + 5. What is the tens digit of s(i)?
3
Suppose -9643 = -5*g - 1023. What is the hundreds digit of g?
7
Let y = -36 + 43. Let t be (y/(-14))/(1/10). Let x = 49 - t. What is the tens digit of x?
5
Suppose 0 = 3*g - 4*f - 23, -3*g - 3*f + 21 = -g. Let o(m) = 18*m + g*m - 13*m. What is the tens digit of o(2)?
2
Suppose 0 = 2*s + 2*s - 2*v - 66, 0 = 2*s + 2*v - 36. Suppose s*p = 18*p - 264. What is the hundreds digit of p?
2
Let i = -219 - -283. What is the units digit of i?
4
Suppose 4*u - 3301 = -w, -3*u - 13166 = -4*w - 0*u. What is the tens digit of w?
9
Let f = -29 - -32. What is the units digit of 154/f + (-7)/21?
1
Let y(a) = 3 + 3*a + 3*a - 5*a. Let g be y(6). Suppose 3*s + g + 53 = 2*n, 4*s = n - 41. What is the tens digit of n?
2
Let p(g) = -6 - g**2 + 5*g**2 - 3*g**2 - 3*g. Suppose -12 = u + 3*u. What is the tens digit of p(u)?
1
Let w(g) = 102*g**3 - 3*g**2 + 7. What is the tens digit of w(2)?
1
Let k(b) = 6*b**2 + 2*b + 1. Let x be k(-1). Suppose o = -x, 4*o - o - 3 = 2*d. What is the units digit of (-83)/d + 4/(-18)?
9
Let w = -224 - -313. Suppose 0 = 2*n - 2*d - 202, 5*n - 4*n = -3*d + w. What is the units digit of n?
8
Let v = 5 - -6. Suppose -c = 3*x - v, 4 = c + x - 17. What is the units digit of c?
6
Suppose 0 = -3*j + 8 - 2. Suppose 3*d = 12*w - 10*w - 23, -5*w + 2*d + 30 = 0. Suppose j*f - w*f = -94. What is the units digit of f?
7
What is the hundreds digit of (-964)/5*(-8)/((-128)/(-40))?
4
Let h be 0 + -5*(4 - 3). What is the units digit of (-1)/(-2) + ((-1065)/6)/h?
6
Let o = 28 - 9. What is the units digit of ((-2)/4)/(o/(-2204))?
8
Let y(f) = -2*f**2 - 10. Let v be y(-7). Let u = v - -178. What is the units digit of u?
0
Let k(t) = t**2 + 2*t - 3. Let j be k(-3). Suppose j = 4*y + 16, -4*y - 70 - 96 = 5*n. Let d = n + 55. What is the units digit of d?
5
Suppose 15 = -2*y + 7*y. Let s be y/(-9)*(-36)/4. What is the units digit of 3 + (-1)/(s - 4)?
4
Suppose -5*p = 3*g + 24 - 4, p + 4 = -4*g. Suppose g = -18*u + 17*u + 92. What is the units digit of u?
2
Suppose 1529 = 3*q - l - 4*l, 5*q - 2535 = 5*l. What is the hundreds digit of q?
5
Suppose -2*k + 3*j - 180 = 0, -4*j - 156 - 131 = 3*k. Let i = k - -190. What is the tens digit of i?
9
Let w(x) = -3*x**2 + 13*x + 4. Let o be w(10). Let a = o + 293. Suppose -4*g + 73 + a = 0. What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
le of 1662?
False
Does 195 divide 42443879?
False
Is 10281964 a multiple of 29?
False
Is 20771931 a multiple of 1393?
False
Is 2693675376 a multiple of 4396?
True
Is 7 a factor of 1188598705?
True
Does 7 divide 3374744?
False
Does 1409 divide 64305351?
True
Is 1909960610 a multiple of 33?
False
Does 2 divide 32682673?
False
Is 55288384 a multiple of 49?
False
Is 3029 a factor of 90927551?
True
Is 153 a factor of 19472157?
True
Does 2383 divide 511402958?
False
Is 8 a factor of 734440?
True
Is 7 a factor of 749131144?
False
Is 55024398 a multiple of 117?
True
Is 8 a factor of 55688026?
False
Is 8 a factor of 521676756?
False
Is 103 a factor of 80630048?
True
Is 93 a factor of 18509855?
False
Is 15 a factor of 175289745?
True
Does 866 divide 1149602010?
True
Does 2336 divide 185958606?
False
Does 542 divide 2912929?
False
Is 369 a factor of 207839184?
False
Is 331 a factor of 27716593?
False
Is 983579245 a multiple of 14?
False
Does 21 divide 2721142074?
True
Is 64 a factor of 1539503658?
False
Is 34 a factor of 1196222?
True
Does 183 divide 243552687?
True
Is 11575352 a multiple of 8?
True
Is 15 a factor of 17709375?
True
Is 193282213 a multiple of 13?
False
Does 5889 divide 416558547?
False
Is 1109 a factor of 380833927?
True
Is 248600716 a multiple of 196?
True
Does 1893 divide 18842285?
False
Does 4 divide 10522524?
True
Is 1734 a factor of 142220490?
False
Is 4 a factor of 274670884?
True
Is 796538349 a multiple of 17?
True
Is 1184010387 a multiple of 7?
True
Is 159 a factor of 763792911?
True
Is 58197711 a multiple of 33?
True
Is 256 a factor of 8708654?
False
Is 356866601 a multiple of 7?
True
Is 3965786 a multiple of 178?
False
Does 914 divide 1374173408?
True
Is 89 a factor of 8781661?
False
Does 40 divide 323440680?
True
Is 8 a factor of 18812197?
False
Does 4 divide 692302324?
True
Does 2412 divide 5496948?
True
Is 6 a factor of 44098434?
True
Is 45927204 a multiple of 32?
False
Is 2349 a factor of 103024791?
True
Is 8 a factor of 1866965898?
False
Is 7068825 even?
False
Is 17 a factor of 118432124?
False
Does 84 divide 17223444?
True
Is 236 a factor of 2811633?
False
Is 3 a factor of 11983233?
True
Is 594 a factor of 159320493?
False
Is 8608448 a multiple of 64?
True
Is 703772312 a multiple of 5024?
False
Is 94 a factor of 208066400?
False
Does 681 divide 118302696?
False
Is 14 a factor of 298785788?
True
Is 216940925 a multiple of 71?
False
Is 651 a factor of 370487853?
False
Does 11 divide 2358884?
True
Does 301 divide 133776664?
False
Does 388 divide 11326414?
False
Is 86181249 a multiple of 717?
True
Is 28886550 a multiple of 308?
False
Does 281 divide 427347891?
True
Does 8 divide 6272399?
False
Is 710263308 a multiple of 2705?
False
Is 58927 a multiple of 173?
False
Does 14 divide 21504546?
True
Is 670571407 a multiple of 332?
False
Is 57 a factor of 16556448?
True
Is 1672 a factor of 1474082016?
True
Is 3185952 a multiple of 84?
True
Is 98 a factor of 15354248?
True
Is 2 a factor of 2837081?
False
Is 348 a factor of 576633991?
False
Is 268 a factor of 695745420?
True
Does 7 divide 22527085?
True
Is 83 a factor of 26569047?
True
Is 257074977 a multiple of 142?
False
Is 46296060 a multiple of 3126?
True
Is 2928 a factor of 136060432?
False
Is 49 a factor of 55508545?
False
Is 1515424033 a multiple of 41?
False
Does 63 divide 88748100?
True
Is 52 a factor of 14984372?
True
Does 235 divide 120713083?
False
Is 287 a factor of 105174174?
False
Is 185 a factor of 357511040?
False
Is 20862239 a multiple of 6138?
False
Does 49 divide 78822188?
False
Does 116 divide 19810828?
True
Is 382 a factor of 814640652?
False
Is 845 a factor of 18119335?
True
Is 6 a factor of 539879106?
True
Does 9 divide 628451975?
False
Is 8 a factor of 3548906808?
True
Is 42081534 a multiple of 24?
False
Is 36429642 a multiple of 388?
False
Is 4516 a factor of 754405057?
False
Does 3122 divide 1507467521?
False
Does 342 divide 153062780?
False
Is 784014 a multiple of 33?
True
Does 9 divide 4057219567?
False
Is 1264209854 a multiple of 212?
False
Is 12646491 a multiple of 21?
False
Is 477741174 a multiple of 17?
True
Is 16 a factor of 329997779?
False
Is 35 a factor of 98264740?
True
Does 163 divide 363502388?
True
Does 47 divide 11944441?
False
Is 37 a factor of 117059712?
True
Does 76 divide 35689676?
True
Does 11 divide 459781080?
True
Is 10 a factor of 221479400?
True
Does 15 divide 2557947004?
False
Is 326151187 a multiple of 29?
False
Does 495 divide 344008170?
True
Does 116 divide 119248116?
True
Is 567030737 a multiple of 19?
True
Is 675 a factor of 244564876?
False
Is 46974762 a multiple of 1503?
True
Is 26 a factor of 113329866?
True
Is 113 a factor of 285854008?
False
Is 2816 a factor of 3450948661?
False
Does 401 divide 8687264?
True
Does 3 divide 10344710?
False
Is 40 a factor of 686304560?
True
Does 2155 divide 26129375?
True
Is 7483564 a multiple of 44?
True
Is 618 a factor of 269648850?
True
Is 13641092 a multiple of 94?
True
Is 19 a factor of 2556376544?
False
Is 8950 a factor of 251530800?
True
Does 40 divide 1431200?
True
Is 40654096 a multiple of 1539?
False
Does 47 divide 306552706?
True
Does 863 divide 107373597?
True
Is 723587112 a multiple of 18?
True
Is 132477384 a multiple of 12?
True
Is 1453 a factor of 208819348?
True
Is 47 a factor of 26541699?
True
Does 348 divide 77376060?
True
Does 9612 divide 2021605452?
True
Is 3 a factor of 483227?
False
Does 13 divide 676869088?
False
Is 822 a factor of 20512150?
False
Is 375 a factor of 242400000?
True
Is 38999164 a multiple of 194?
False
Is 203221593 a multiple of 360?
False
Is 11 a factor of 17953353?
True
Does 7 divide 63419594?
True
Is 3157 a factor of 1260113393?
True
Does 532 divide 38243352?
True
Is 26 a factor of 54423746?
True
Is 47101342 a multiple of 13?
False
Does 15 divide 16705140?
True
Is 205853925 a multiple of 6?
False
Is 220 a factor of 7300920?
True
Is 72837241 a multiple of 16?
False
Is 300274225 a multiple of 3?
False
Is 421856770 a multiple of 34?
False
Is 526 a factor of 4776606?
True
Does 4998 divide 655002894?
True
Does 3891 divide 2504675610?
True
Does 4 divide 93800448?
True
Does 150 divide 809716502?
False
Is 9316346 even?
True
Is 2166608972 a multiple of 244?
False
Does 92 divide 105942632?
False
Does 5 divide 629300?
True
Does 41 divide 434229319?
True
Does 15 divide 260021850?
True
Is 25 a factor of 626494825?
True
Is 95801188 a multiple of 119?
True
Is 221443972 a multiple of 4?
True
Is 83667334 a multiple of 334?
True
Is 192159636 a multiple of 545?
False
Is 1056538658 a multiple of 6126?
False
Is 414 a factor of 134228736?
True
Is 2454 a factor of 2082727533?
False
Is 157 a factor of 37054644?
False
Is 97330080 a multiple of 1266?
True
Is 83904171 a multiple of 597?
True
Is 422243204 a multiple of 5?
False
Is 4 a factor of 6066258?
False
Is 3798578735 a multiple of 245?
True
Is 350 a factor of 287062312?
False
Does 291 divide 1683435?
True
Is 14 a factor of 35319816?
True
Does 55 divide 7409797?
False
Is 4 a factor of 688575862?
False
Does 598 divide 236387102?
False
Is 2030 a factor of 421764980?
True
Is 1882 a factor of 1102344?
False
Is 9039065 a multiple of 287?
True
Is 52 a factor of 206317488?
True
Is 532219883 a multiple of 79?
False
Is 167392551 a multiple of 2553?
True
Is 415 a factor of 248550555?
True
Is 225 a factor of 45924300?
True
Does 194 divide 31984711?
False
Is 3143050011 a multiple of 10?
False
Does 4988 divide 3038790516?
False
Does 101 divide 554761843?
False
Does 24 divide 32605073?
False
Is 812866380 a multiple of 20?
True
Is 103985348 a multiple of 2084?
True
Is 72 a factor of 42055272?
True
Does 22 divide 698338454?
True
Is 143048880 a multiple of 930?
True
Is 192 a factor of 210412292?
False
Is 985 a factor of 845987935?
True
Is 172026624 a multiple of 28?
True
Is 61 a factor of 238035073?
False
Is 25 a factor of 224630044?
False
Does 50 divide 1860247100?
True
Is 830913315 a multiple of 107?
True
Does 299 divide 42713944?
True
Is 374605922 a multiple of 150?
False
Is 16735461 a multiple of 139?
True
Is 79528134 a multiple of 40?
False
Does 260 divide 405717000?
True
Is 25380172 a multiple of 4?
True
Is 7 a factor of 177519048?
True
Is 5149778 a multiple of 44?
False
Is 1123358747 a multiple of 455?
False
Is 234 a factor of 29
|
{
"pile_set_name": "DM Mathematics"
}
|
nearest 100?
64600
What is -0.21556187 rounded to four decimal places?
-0.2156
What is 14.079945 rounded to zero decimal places?
14
What is -4545067 rounded to the nearest one hundred thousand?
-4500000
What is -0.5279926 rounded to three decimal places?
-0.528
What is 0.05046199 rounded to two dps?
0.05
Round 30.942013 to the nearest integer.
31
Round 4256.41 to the nearest 1000.
4000
What is 34.65117 rounded to the nearest 10?
30
Round -4708538000 to the nearest 1000000.
-4709000000
What is 695.804 rounded to the nearest 100?
700
What is -530.35343 rounded to zero dps?
-530
What is -0.0005449107 rounded to 5 dps?
-0.00054
What is 8909.964 rounded to the nearest one hundred?
8900
What is -5931200 rounded to the nearest 1000000?
-6000000
Round 298.446 to 0 decimal places.
298
Round 0.0007356153 to five decimal places.
0.00074
Round -96.615 to the nearest 100.
-100
Round 298271000 to the nearest 1000000.
298000000
Round 13905227 to the nearest one million.
14000000
What is 354586 rounded to the nearest one hundred thousand?
400000
Round -229.892 to the nearest 10.
-230
Round 0.00001059 to five dps.
0.00001
Round 1823.5207 to the nearest 10.
1820
What is 0.0248149 rounded to three decimal places?
0.025
What is -1.025943 rounded to two decimal places?
-1.03
Round 2308960 to the nearest 1000000.
2000000
What is -5515.03 rounded to the nearest one hundred?
-5500
Round 562.5435 to zero decimal places.
563
What is 0.0000005767388 rounded to 7 decimal places?
0.0000006
Round -0.0000495135 to 6 decimal places.
-0.00005
What is 7267.4 rounded to the nearest one thousand?
7000
Round 0.00001610068 to 5 decimal places.
0.00002
Round 0.0371013 to 4 decimal places.
0.0371
What is -14.82982 rounded to the nearest integer?
-15
Round -13659.58 to the nearest 100.
-13700
What is 0.0000156846 rounded to 6 dps?
0.000016
What is -1.2584201 rounded to two dps?
-1.26
Round -50567.09 to the nearest 10.
-50570
Round -0.05170902 to 4 dps.
-0.0517
What is 15621.92 rounded to the nearest ten?
15620
Round 21.786248 to 2 decimal places.
21.79
Round 0.000733676 to five dps.
0.00073
Round -77356.19 to the nearest one hundred.
-77400
What is 416279 rounded to the nearest one hundred thousand?
400000
What is 55.95396 rounded to one dp?
56
What is 715.843 rounded to the nearest 10?
720
What is -492614 rounded to the nearest one thousand?
-493000
Round 0.0000806533 to 5 dps.
0.00008
Round -0.0000237474 to 6 dps.
-0.000024
Round 0.0011152 to four dps.
0.0011
What is -56388230 rounded to the nearest ten thousand?
-56390000
Round -0.0001815958 to 5 dps.
-0.00018
Round 8252.564 to the nearest 100.
8300
Round 11002734 to the nearest ten thousand.
11000000
What is 0.00061572 rounded to 5 dps?
0.00062
Round 239.01478 to one dp.
239
Round 0.0000084093 to six decimal places.
0.000008
Round 237450 to the nearest 10000.
240000
Round -0.00116326 to five decimal places.
-0.00116
Round 0.0000016209 to five decimal places.
0
Round -8316.049 to the nearest ten.
-8320
What is -325512.6 rounded to the nearest 100000?
-300000
Round 242878900 to the nearest one hundred thousand.
242900000
What is -0.08622 rounded to 3 decimal places?
-0.086
Round 15318.696 to the nearest 1000.
15000
Round 0.00075585 to four dps.
0.0008
Round -116906.418 to the nearest one thousand.
-117000
Round -0.000608527 to five dps.
-0.00061
What is -22.616636 rounded to 0 decimal places?
-23
Round 0.000000374251 to seven decimal places.
0.0000004
Round 582556100 to the nearest 1000000.
583000000
Round -1038160 to the nearest ten thousand.
-1040000
What is 742.7491 rounded to the nearest 10?
740
Round -167592300 to the nearest 100000.
-167600000
Round 0.00009929665 to six dps.
0.000099
Round 0.00006455188 to seven dps.
0.0000646
What is 54061.8 rounded to the nearest 100?
54100
Round -0.7159345 to two decimal places.
-0.72
Round 450.71111 to the nearest integer.
451
Round -0.7265441 to 3 decimal places.
-0.727
Round 1255.771 to the nearest ten.
1260
Round 7.366502 to 3 decimal places.
7.367
Round 94.025099 to the nearest 10.
90
What is 120.533 rounded to the nearest integer?
121
What is 0.0013879747 rounded to four decimal places?
0.0014
What is -260803 rounded to the nearest ten thousand?
-260000
Round 1173300 to the nearest one million.
1000000
What is -17.48859 rounded to the nearest integer?
-17
What is -10.70994 rounded to three decimal places?
-10.71
What is -4104.94 rounded to the nearest ten?
-4100
Round 114766.9 to the nearest one hundred.
114800
Round -0.000637794 to 3 decimal places.
-0.001
Round -0.0003302088 to seven dps.
-0.0003302
What is -4999.784 rounded to the nearest integer?
-5000
What is 0.03575284 rounded to 2 decimal places?
0.04
Round -1116.826 to the nearest integer.
-1117
What is 0.0001433263 rounded to seven decimal places?
0.0001433
Round 63425.9 to the nearest one hundred.
63400
What is -0.1180992 rounded to 2 decimal places?
-0.12
Round -0.00000886559 to six dps.
-0.000009
What is 0.1909296 rounded to 4 dps?
0.1909
What is 11420.604 rounded to the nearest 1000?
11000
What is -0.000038385062 rounded to five decimal places?
-0.00004
Round -6617.19 to the nearest one hundred.
-6600
What is -0.000013006143 rounded to 7 decimal places?
-0.000013
Round 377.96937 to the nearest 10.
380
Round 43980.6 to the nearest 10000.
40000
Round 2.5765033 to one decimal place.
2.6
What is 0.25203987 rounded to two dps?
0.25
Round 795.354 to the nearest 100.
800
Round 0.0041913 to 4 dps.
0.0042
Round -26168070 to the nearest 10000.
-26170000
What is 5835240 rounded to the nearest 1000000?
6000000
What is 7737.13 rounded to the nearest ten?
7740
What is -99.6325 rounded to one decimal place?
-99.6
What is -0.0114695333 rounded to three decimal places?
-0.011
What is 110.0231 rounded to 1 decimal place?
110
Round -53.4873 to 0 dps.
-53
Round 47290700 to the nearest one hundred thousand.
47300000
What is 0.2279182 rounded to 3 dps?
0.228
Round 2571.98 to the nearest one hundred.
2600
What is -843235 rounded to the nearest one thousand?
-843000
What is 571324 rounded to the nearest 1000?
571000
What is 0.000390837 rounded to 4 dps?
0.0004
What is 422.6626 rounded to zero dps?
423
Round 346435440 to the nearest 100000.
346400000
What is -268913600 rounded to the nearest one hundred thousand?
-268900000
What is 214.527 rounded to the nearest 100?
200
What is 85128850 rounded to the nearest 1000000?
85000000
What is -4093607 rounded to the nearest one hundred thousand?
-4100000
What is -2600799000 rounded to the nearest 1000000?
-2601000000
What is -0.0000003137968 rounded to 7 dps?
-0.0000003
Round 304071.11 to the nearest one thousand.
304000
What is 1077056000 rounded to the nearest 1000000?
1077000000
Round 0.00207497 to four dps.
0.0021
What is 11482750 rounded to the nearest one thousand?
11483000
Round 575796 to the nearest ten thousand.
580000
What is -0.014169075 rounded to 5 dps?
-0.01417
What is -0.04781268 rounded to three dps?
-0.048
What is 637.09 rounded to the nearest 100?
600
Round 164.1427 to the nearest 10.
160
Round -0.0000412652 to 6 dps.
-0.000041
What is 2204204 rounded to the nearest 1000?
2204000
What is 993.8139 rounded to the nearest 100?
1000
What is 919417.6 rounded to the nearest one hundred thousand?
900000
Round 21679.601 to the nearest one hundred.
21700
Round 209521.56 to the nearest 1000.
210000
Round -505646.6 to the nearest one thousand.
-506000
What is 8.35342 rounded to one decimal place?
8.4
Round -0.6425597 to 2 decimal places.
-0.64
What is -193.50328 rounded to the nearest ten?
-190
What is 0.0372721 rounded to two decimal places?
0.04
What is -0.0000142811 rounded to seven dps?
-0.0000143
Round 632.189 to the nearest one hundred.
600
What is 18297500 rounded to the nearest 1000000?
18000000
What is -7.090021 rounded to 3 decimal places?
-7.09
Round 13589.635 to the nearest integer.
13590
Round -39939.1 to the nearest 10000.
-40000
Round 0.36087103 to 3 decimal places.
0.361
Round 0.017992 to 3 dps.
0.018
Round -32651 to the nearest ten thousand.
-30000
What is 0.000145952 rounded to 6 decimal places?
0.000146
Round -0.06448366 to four dps.
-0.0645
What is 1.789326 rounded to 3 decimal places?
1.789
What is 0.0610545 rounded to three dps?
0.061
What is 531924000 rounded to the
|
{
"pile_set_name": "DM Mathematics"
}
|
o the nearest 1000000?
5000000
Let j = -293801 + 166401. Let v = 345600 - j. Round v to the nearest 10000.
470000
Let k = -22 - -27. Suppose 0 = k*b + 13037847 + 9312153. Round b to the nearest 100000.
-4500000
Let p = -16.42 - -151.72. Let y = 128.196 + -0.196. Let b = y - p. What is b rounded to the nearest integer?
-7
Suppose -5*i = g + 7, -1 = -3*g - 5*i - 2. Let j = -1841 - -9049. Suppose -4*a = -2*r - g*a - 14396, -r - 2*a - j = 0. Round r to the nearest 1000.
-7000
Let g = -145.29196043725 + 0.29195925525. Let d = g - -145. Round d to 7 dps.
-0.0000012
Let a = 771 - 13. Let o be (-126)/(-26) - (-26)/169 - a. Round o to the nearest one hundred.
-800
Let r = -81656 + 22450. Round r to the nearest 100.
-59200
Suppose 0 = -k, 4*o + 9326000 = -136*k + 137*k. Round o to the nearest one million.
-2000000
Let t = -209 + 208.762. Let x = t + -0.457. Let n = x - -0.56. Round n to two decimal places.
-0.14
Let c = -97.0582 - -97. Let s = c - 81.3418. Round s to the nearest integer.
-81
Let j = 117925 - 117925.0050011. What is j rounded to four decimal places?
-0.005
Suppose 2*p - 4 = 0, 4*i - 13477 - 8933 = 3*p. Let b be (-1)/((-4)/i) + 2. Suppose 3*o + b = 3563. What is o rounded to the nearest 100?
700
Let a = -312 - -293.8. Let v = -26.59 - a. What is v rounded to 1 dp?
-8.4
Let a = -2531.9976284 - -2532. Round a to three dps.
0.002
Let u(i) be the third derivative of i**5/60 - 17*i**4/24 + 47*i**3/6 - 157*i**2. Let d be u(7). Round d to zero dps.
-23
Let h = 38375.88962 + -0.88962. Let l = h + -38371.3629. Let i = -3.61 + l. Round i to three dps.
0.027
Suppose 2*a + 31 = -3*c, -3*a + c = -4 + 45. Let t be (-2111)/(-3 + (-44)/a) + -3. What is t rounded to the nearest 1000?
-15000
Let y = 3562.2236 + -3562. What is y rounded to two dps?
0.22
Let p = -1377911.3 - -1378669.03373. Let m = -757.7 + p. What is m rounded to three dps?
0.034
Let o = 0.066392 + -0.066356597. What is o rounded to 7 decimal places?
0.0000354
Let o = 691 - 690.99990546. Round o to five decimal places.
0.00009
Let r(s) = -5*s + 33. Let u be r(6). Suppose 6*x = -u*x + 48150. Round x to the nearest 100.
5400
Let g = -83 - 364. Let k = g + 447.00463. Round k to 4 decimal places.
0.0046
Let j(t) = -t**3 - 8*t**2 - 7*t. Let o be j(-7). Suppose -19*n + 17*n = 2*m - 862392, 4*n + 16 = o. What is m rounded to the nearest one hundred thousand?
400000
Let v = -0.39 + 0.27. Let y = 29.12 + v. Let s = -28.99999991 + y. Round s to 7 decimal places.
0.0000001
Let f = -0.3543 - -0.359562. Round f to four decimal places.
0.0053
Let y = 423 + -1019. Let n = y + 587.94. Let p = -51.04 + n. What is p rounded to the nearest integer?
-59
Let y = -2621 + -686. Suppose -5*t = 8243 - 778. Let q = y + t. What is q rounded to the nearest 1000?
-5000
Let a = 73.9 - 80. Let r = 212.1 + a. Let l = -206.000322 + r. What is l rounded to four decimal places?
-0.0003
Let w = -2713.19 - -2719. Round w to 0 decimal places.
6
Let i = -1.03509 + -56.87391. Let o = i + 58. Round o to one decimal place.
0.1
Let c = 14690 - 14690.087626. Round c to 3 decimal places.
-0.088
Let k = 25606.304161 + -25606.2. What is k rounded to 3 dps?
0.104
Let k = 742.63 + -873.3. What is k rounded to the nearest ten?
-130
Suppose -150*m - 519579 = 133869 - 84648. Round m to the nearest one thousand.
-4000
Let a = -14814 - -14813.85871. What is a rounded to three dps?
-0.141
Let g = -0.08774 + 0.35919. Round g to three decimal places.
0.271
Let j = 3973.64 + -3991. Round j to the nearest ten.
-20
Let r = 87.32 - 87.320070393. Round r to 5 dps.
-0.00007
Let k = -1084864.8589 + 1084938. Let r = 73.1 - k. Round r to 3 decimal places.
-0.041
Let i be 4 + 13 + -2 + 1 + -1. Let x be (1865/i + 3)*9/3. Round x to the nearest 100.
400
Let c = -62755472282 + 62806123901.851. Let j = c - 50652034.85099347. Let q = 415 + j. What is q rounded to 6 dps?
0.000007
Let j = 0.15 + -0.33. Let y = j + 0.48. Let f = -0.2999929 + y. What is f rounded to six dps?
0.000007
Let t = -84.9575 - 0.0425. Let o = -28.7 - t. What is o rounded to the nearest ten?
60
Let o = -10585004 + 13557514.8. Let g = -2972489.800009 + o. Let s = -21 + g. What is s rounded to 5 dps?
-0.00001
Let h = -99999.9 + 95664. What is h rounded to the nearest one hundred?
-4300
Let n = 3317395.95200251 - 3317451.252. Let p = n + 55.3. What is p rounded to seven decimal places?
0.0000025
Let f be (-1)/(-7) - (2912416/(-28) - -1). Let l(p) = 1504*p**3 + 4*p + 6. Let k be l(-5). Let j = f + k. What is j rounded to the nearest ten thousand?
-80000
Suppose -7*p = -3*p, 6376011 = 5*s + 5*p - 3746489. Round s to the nearest 100000.
2000000
Let n = -23 + 12.7. Let o = n - -7.4. Let c = 2.9179 + o. What is c rounded to three dps?
0.018
Let c = 111 + -195. Let r = -84.93 - c. Let j = r - 12.47. Round j to zero decimal places.
-13
Suppose 5*a - 77*i - 212729998 = -78*i, 2*i + 4 = 0. Round a to the nearest 100000.
42500000
Let t = 29772 - 29772.034291. Round t to 4 decimal places.
-0.0343
Let g(i) = 2613*i**2 - 9*i + 11. Let d be g(-5). Let x = d + -230098. Let k = x - -24717. What is k rounded to the nearest one hundred thousand?
-100000
Suppose 6*n - n = 3*p - 20, 5 = p. Let z be (-2 - (n - -127))/(6/(-204375)). Round z to the nearest one million.
4000000
Let w = -340.970038958 - -340.97. Round w to six dps.
-0.000039
Let d = -100.5 + 99.11. Let q = -0.35 + 0.1. Let p = d - q. What is p rounded to 1 decimal place?
-1.1
Let s = 453 + -453.382. Let c = -0.3665 - s. What is c rounded to two decimal places?
0.02
Let q = -1044 + 1042.122. Let z = q - -0.078. Let c = -1.824 - z. What is c rounded to 1 dp?
0
Let n(d) be the first derivative of 3*d + d**2 - 2400001/3*d**3 + 27. Let m be n(-1). Round m to the nearest 1000000.
-2000000
Let q = 0.331232 - 0.324. What is q rounded to three dps?
0.007
Let j = 233317 + -232913.666. Let g = j + -2.734. Round g to the nearest 10.
400
Suppose 0*s - 4*s = -3*h + 84181326, -s + 28060449 = h. Suppose -h = o + 27939554. Round o to the nearest one million.
-56000000
Let o = -816 + 1362. Suppose -2*r = 4*n - 2*n - o, 2*r - 268 = -n. Let b be (435 - -21)*(n/3 - 1). Round b to the nearest 10000.
40000
Suppose -14 = -p - 11. Let m(k) = -k**3 + 4*k**2 - 2*k - 1. Let a be m(p). Suppose a*s = 4*g + s - 191995, -2*s - 239990 = -5*g. Round g to the nearest 10000.
50000
Let n = -37689 - -37688.63337. Round n to two decimal places.
-0.37
Let q = -297 + 296.8808. Let s = 1.204 - q. Let f = s + -1.29. What is f rounded to three dps?
0.033
Let b = 618700.9023 + -619212. Let m = 395.9889 - b. Let v = m + -907. Round v to two decimal places.
0.09
Let u = 334 + -191. Let z = u - 145.03. What is z rounded to 1 decimal place?
-2
Let m = 0.6101 + 69.9799. Let c = 62.171 + 8.829. Let i = c - m. What is i rounded to 1 decimal place?
0.4
Let z = -35.35 - -1285.45. Round z to the nearest 10.
1250
Let g = -0.125 + -0.705. Let w = g + 0.8300057. Round w to six decimal places.
0.000006
Let y = 455.44316 + -0.17316. What is y rounded to the nearest ten?
460
Let i = 108 - 106.08. Let w = i + -169.92. Let j = w - -168.0568. Round j to two decimal places.
0.06
Let r = -550137.106 - -550890. Let d = -753 + r. Round d to two decimal places.
-0.11
Let w(v) = 2885*v**2 + 7*v + 140. Let d be w(-20). What is d rounded to the nearest 100000?
1200000
Let a = -427.6995 + 440. Let l = a - 12.3. What is l rounded to 4 dps?
0.0005
Let m(c) = -c + 16. Let q = -242 - -248. Let h be m(q). What is h rounded to the nearest 10?
10
Suppose -1471043707 - 5092006293 = 65*n. Round n to the nearest one million.
-101000000
Let x(f) = 57*f + 34. Let z be x(9). Suppose z = -10*j - 333. What is j rounded to the nearest 10?
-90
Let u = 710.355253 + -10.411953. Let w = u + -700. Round w to two decimal places.
-0.06
Let a(v) = -3*v**3 - 7*v**2 + 19*v + 52. Let d be a(-8). Round d to the nearest 1000.
1000
Let k = -1.78 + 40.88. Let d = k + -38.525. What is d rounded to two dps?
0.58
Let r be (-56)/8 + (-2)/(-1). Let a(q) = -q**3 - 4*q**2 + 2*q - 12. Let u be a(r). Let p be -5 + 3 - u - 237. Round p to the nearest ten.
-240
Let h = -23805.0000050915 + 23805. What is h rounded to 7 dps?
-0.0000051
Let x = -7471 - -6710.6. What is x rounded to the nearest 10?
-760
Let l = 2955 + -2956.0738. What is l rounded to 2 dps?
-1.07
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*k**4/3 + 2*k**3/3 + 4*k**2/3 - 8*k/3 + 3. Find w, given that n(w) = 0.
-1, 1, 2
Let r = -440/3 - -148. Let p(z) be the first derivative of -1 + 2/3*z**3 - 1/3*z**2 - r*z. Find u, given that p(u) = 0.
-2/3, 1
Let y(w) be the first derivative of -w**3 - 3*w**2 - 2. Solve y(x) = 0.
-2, 0
Let s(y) = 10*y**2 - 18*y - 6. Let d(j) = -10*j**2 + 19*j + 5. Let f(i) = -2*d(i) - 3*s(i). Determine h so that f(h) = 0.
-2/5, 2
Let c be (56/9 - 1) + (7 - 12). Factor -8/9*u**2 + 0 - 16/9*u**3 - 10/9*u**4 + 0*u - c*u**5.
-2*u**2*(u + 1)*(u + 2)**2/9
Let g(u) = -u**3 - 6*u**2 - 3*u + 3. Let j be g(-6). Let v be j/(-27)*(-4 - -1). Find t, given that 7/3*t - v*t**3 + 2/3 - 2/3*t**2 = 0.
-1, -2/7, 1
Suppose 3*l = -o - o + 4, o = -1. Let i(y) be the second derivative of y - 1/3*y**3 + 1/6*y**4 + 0 - l*y**2. Solve i(c) = 0 for c.
-1, 2
Let o be 4/(-160)*194*-4. Let k = o - 19. Let 6/5*y**2 + 6/5*y + 2/5*y**3 + k = 0. Calculate y.
-1
Let q = 16 - 10. Factor 7*i**4 + 0*i**2 + i**3 + 0*i**4 - q*i**4 - i**5 - i**2.
-i**2*(i - 1)**2*(i + 1)
Let l(o) = -o + 2. Let m be l(-2). Suppose 2/3*i**3 + 1/3*i**m + 1/3*i**2 + 0 + 0*i = 0. What is i?
-1, 0
Let f = -26 - -30. Let x(u) be the first derivative of -1/6*u**3 + 0*u - 1/16*u**f - 2 - 1/8*u**2. Factor x(v).
-v*(v + 1)**2/4
Factor -1/2*t**2 + 1/2*t**4 + 0*t**3 + 0*t + 0.
t**2*(t - 1)*(t + 1)/2
Let l(f) be the first derivative of f**5/20 + 13*f**4/60 + 2*f**3/15 - 2*f**2/5 + 3*f - 4. Let k(g) be the first derivative of l(g). Find m such that k(m) = 0.
-2, -1, 2/5
Let s(t) = -5*t - 13. Let c be s(-3). Factor 4/7 + 10/7*f**2 + c*f.
2*(f + 1)*(5*f + 2)/7
Solve -1/4*o**3 + 0 + 0*o**2 + 0*o = 0 for o.
0
Let s(k) be the third derivative of -k**5/12 - 5*k**4/24 + 29*k**2. What is w in s(w) = 0?
-1, 0
Let o(w) be the third derivative of -3*w**2 - 1/48*w**5 - 1/12*w**4 + 1/6*w**3 + 0 + 0*w. Let o(j) = 0. What is j?
-2, 2/5
Let k(g) be the second derivative of 2*g**6/45 + 2*g**5/15 - 4*g**3/9 - 2*g**2/3 + 28*g. Factor k(a).
4*(a - 1)*(a + 1)**3/3
Let a(r) be the first derivative of 2/3*r**3 + 0*r**2 + 6 + 1/5*r**5 + 0*r - 3/4*r**4. Determine i, given that a(i) = 0.
0, 1, 2
Let c = -2/275 - -829/550. Determine i so that -c*i**2 - i - 1/4 - 1/4*i**4 - i**3 = 0.
-1
Let y(g) be the second derivative of -g**4/48 + 5*g**3/24 + 3*g**2/4 - 5*g. Factor y(d).
-(d - 6)*(d + 1)/4
Let c(q) = -q**3 - q**2 - 3*q - 2. Let v be c(-2). Let a be (-100)/(-126) - v/36. Factor -a + 2/7*y + 4/7*y**2 - 2/7*y**3.
-2*(y - 2)*(y - 1)*(y + 1)/7
Let c = 15 - 12. Factor 0 + 0*t + 2/5*t**4 - 4/5*t**c + 0*t**2.
2*t**3*(t - 2)/5
Let x(t) be the first derivative of 8 + 0*t - 1/9*t**2 + 1/27*t**3. Factor x(c).
c*(c - 2)/9
Let z(y) = -y**3 - 7*y**2 + 3. Let t(s) = -s**3 - s**2 + 1. Let q(j) = -3*t(j) + z(j). Factor q(h).
2*h**2*(h - 2)
Let m be ((-200)/(-24))/(1/3). Suppose 2*f + 3*f = m. Solve -1/4*w**3 + 0*w + 0*w**2 - 1/4*w**f + 1/2*w**4 + 0 = 0 for w.
0, 1
Let v(y) be the first derivative of y**3/7 + 3*y**2/14 - 18*y/7 + 19. Factor v(o).
3*(o - 2)*(o + 3)/7
Suppose 7*d + 4*h - 8 = 6*d, -4*h = -8. Let 1/3*m**5 - 1/3*m**3 + d*m**2 + 0 + 0*m + 0*m**4 = 0. Calculate m.
-1, 0, 1
Let p(z) = -z - 3. Let c be 1/(((-4)/(-5))/(-4)). Let f be p(c). Find q, given that 1/2*q - 1/2*q**f + 0 = 0.
0, 1
Let k(j) = -5*j**2 + 6*j - 3. Let a(x) = -x**2 - 1. Let d(g) = 3*a(g) - k(g). What is z in d(z) = 0?
0, 3
Suppose 0 = -4*q - 0*q + 12. Suppose -4 = f - q*f. Factor 6*j**4 + 9*j**4 - 3 - 6*j**f - 12*j**3 - 6*j**4 + 12*j.
3*(j - 1)**2*(j + 1)*(3*j - 1)
Let t = 1 + 3. Let c be t + 3 + -2 + -2. Factor q**2 + 4*q**2 - 4*q - 2*q**c + 2 + 0 - 1.
-(q - 1)**2*(2*q - 1)
Let z(k) = -5*k**2 + 26*k - 45. Let n(h) = -5*h**2 + 27*h - 45. Let c(d) = -4*n(d) + 3*z(d). Determine w so that c(w) = 0.
3
Let g be ((-15)/10)/(6/(-8)). Let j be 5 - 3/(3/g). Factor -5*a**3 + a + a**5 + 3*a**3 + 0*a**j.
a*(a - 1)**2*(a + 1)**2
Let a(y) be the second derivative of -y**7/42 + 2*y**6/15 - 3*y**5/10 + y**4/3 - y**3/6 - 4*y. Factor a(j).
-j*(j - 1)**4
Let b(q) be the first derivative of q**3/9 - q**2/6 - 2*q/3 - 22. Find d, given that b(d) = 0.
-1, 2
Let b(o) be the second derivative of 5*o**4/12 + 5*o**3/2 + 5*o**2 + 30*o. Factor b(h).
5*(h + 1)*(h + 2)
Let r(f) be the first derivative of f**7/63 + 2*f**6/45 - f**5/10 - 2*f**4/9 + 4*f**3/9 + 9*f + 4. Let q(l) be the first derivative of r(l). Factor q(p).
2*p*(p - 1)**2*(p + 2)**2/3
Let f(d) be the third derivative of -d**8/10080 - d**7/1260 - d**6/360 - d**5/15 - 3*d**2. Let x(k) be the third derivative of f(k). Factor x(p).
-2*(p + 1)**2
Let n = 451 - 4055/9. Factor -10/9*f - 4/9 + 10/9*f**3 + n*f**2.
2*(f - 1)*(f + 1)*(5*f + 2)/9
Let v(d) = d**3 - 14*d**2 + 13*d + 2. Let t be v(13). Let o(m) be the first derivative of m**t + 1 - 2/3*m**3 + 2/5*m**5 + 0*m - 1/2*m**4. Factor o(f).
2*f*(f - 1)**2*(f + 1)
Let q be 3/(2 - (0 + 1)). Determine a, given that 2 - q*a**3 + a + a**2 - 3 + 2*a**3 = 0.
-1, 1
Let w = -71 + 74. Find z such that 2*z**w + 11/2*z + 1 + 13/2*z**2 = 0.
-2, -1, -1/4
Let y(v) be the second derivative of v**4/16 - v**3/4 + 3*v**2/8 - 5*v - 6. Factor y(o).
3*(o - 1)**2/4
Let q be (-7)/60*(-26)/637. Let r(a) be the third derivative of 0*a**3 + 0 + 0*a + a**2 + 0*a**4 + 0*a**6 + q*a**7 - 1/60*a**5. Suppose r(g) = 0. Calculate g.
-1, 0, 1
Let i(w) be the second derivative of 3*w**5/5 + 5*w**4/12 - w**3/3 + 3*w. Let i(l) = 0. What is l?
-2/3, 0, 1/4
Suppose 0 = -2*z + 5 + 9. Let t = z + -11. Let a(c) = 5*c**2 - 4*c. Let i(r) = 6*r**2 - 5*r. Let q(p) = t*i(p) + 5*a(p). Factor q(w).
w**2
Let w(c) be the second derivative of -c**10/45360 + c**8/5040 - c**6/1080 + c**4/12 - 2*c. Let j(i) be the third derivative of w(i). Let j(s) = 0. Calculate s.
-1, 0, 1
Let t(q) = 49*q**4 - 64*q**3 + 20*q**2 + 4*q - 4. Let y(x) = 50*x**4 - 65*x**3 + 20*x**2 + 5*x - 5. Let o(u) = -5*t(u) + 4*y(u). Factor o(r).
-5*r**2*(3*r - 2)**2
Let b(u) be the first derivative of -1/9*u**2 - 4/9*u + 1 + 2/9*u**3. Determine t so that b(t) = 0.
-2/3, 1
Let f be -1*3*5/405*-3. Let h(x) be the first derivative of -1/6*x**2 + 0*x + 3 - f*x**3 + 1/15*x**5 + 1/12*x**4. Solve h(n) = 0 for n.
-1, 0, 1
Let s(l) be the third derivative of -l**7/280 - l**6/160 + l**5/80 + l**4/32 - 4*l**2. Factor s(a).
-3*a*(a - 1)*(a + 1)**2/4
Let x be 44/5 - 8 - 2*-2. Factor x*q + 21/5*q**3 - 57/5*q**2 + 12/5.
3*(q - 2)*(q - 1)*(7*q + 2)/5
Let o(a) be the second derivative of -a**6/10 + 3*a**5/20 + 3*a**4/4 - 5*a**3/2 + 3*a**2 + 4*a. Factor o(c).
-3*(c - 1)**3*(c + 2)
Suppose -2*s + 9 = -5*j, 5*j + 0*j + 15 = 5*s. Factor -3*p**s - p**3 - p**2 + 3*p**2.
-p**2*(p + 1)
Determine h, given that 0 - h**4 - 1/3*h**3 + 2/3*h + h**2 - 1/3*h**5 = 0.
-2, -1, 0, 1
Let u(l) be the third derivative of -l**6/150 + l**5/25 - l**4/15 - 5*l**2. Find q, given that u(q) = 0.
0, 1, 2
Let t(n) = -n**3 + 11*n**2 + 12*n. Let o be t(12). Factor 1/2*y**2 - 1/2*y + o.
y*(y - 1)/2
Let h(l) be the first derivative of -l**4/34 - 4*l**3/51 + 3*l**2/17 - 25. What is y in h(y) = 0?
-3, 0, 1
Let m(c) be the third derivative of c**8/10080 - c**6/2160 + 2*c**3/3 + 4*c**2. Let q(a) be the first derivative of m(a). Determine p so that q(p) = 0.
-1, 0, 1
Suppose -3*p = q + 2*q + 9, 3*p - 4*q = 26. Suppose -3*s = p*s - 15. Factor -3*j**2 + 6*j**2 + j**s - 3*j**2 - j.
j*(j - 1)*(j + 1)
Let i be (-1)/2*12/(-2). Let t(o) be the third derivative of -o**2 + 0*o**i - 1/300*o**6 + 0*o + 1/60*o**4 + 0*o**5 + 0. Suppose t(f) = 0. What is f?
-1, 0, 1
Let n = -276/5 + 2007/35. Let t = -31/21 + n. Factor 0 + 4/3*i**3 - 2/3*i**2 + 0*i - t*i**4.
-2*i**2*(i - 1)**2/3
Let k be ((-3)/3 - 0)*-3. Let v(q) be the first derivative of 4/3*q - 14/3*q**2 + 1 + 49/9*q**k. Factor v(i).
(7*i - 2)**2/3
Suppose -4*b + 0 = -8. Factor 2*u**3 - 12*u**4 + 2*u**2 - b*u**5 + u**3 + 2*u**5 + 7*u**5.
u**2*(u - 1)**2*(7*u + 2)
Let j = 46 - 12. Factor -26 - 6*w - 38 + 4*w - 4*w**2 + j*w.
-4*(w - 4)**2
Let q(j) be the third derivative of -j**6/780 - j**5/390 + j**4/156 + j**3/39 + 26*j**2. Solve q(m) = 0 for m.
-1, 1
What is l in -2/3*l**3 + 4/3 + 1/3*l**4 - l**2 + 4/3*l = 0?
-1, 2
Determine y so that 67/5*y**3 - 108/5 - 13/5*y**4 + 1/5*y**5 - 171/5*y**2 + 216/5*y = 0.
2, 3
Suppose 0*j - 12 = -6*j. Let x(t) be the third derivative of 0 - 1/30*t**5 - j*t**2 + 0*t**3 + 0*t - 1/60*t**6 + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
n divisor of 6171 and 1215687?
6171
Calculate the highest common factor of 2196 and 31859019.
549
What is the highest common divisor of 2035 and 377474?
37
What is the highest common divisor of 20 and 30422060?
20
Calculate the greatest common factor of 48 and 389458720.
16
Calculate the highest common divisor of 263039 and 2385.
53
Calculate the highest common divisor of 65843131 and 157.
157
Calculate the greatest common divisor of 4343 and 79937.
43
Calculate the highest common divisor of 250880 and 68608.
1024
What is the highest common divisor of 5451051 and 6?
3
Calculate the greatest common divisor of 5034 and 1386028.
1678
What is the highest common divisor of 1539783 and 81?
27
What is the greatest common factor of 2200 and 4203400?
200
Calculate the greatest common factor of 41465964 and 6072.
276
What is the greatest common factor of 144276755 and 38360?
4795
Calculate the greatest common divisor of 2295571 and 9784.
1223
What is the greatest common divisor of 109500 and 1022?
146
Calculate the greatest common factor of 9625000 and 381150.
3850
Calculate the highest common factor of 243024 and 4301232.
2928
What is the greatest common divisor of 42536205 and 6?
3
Calculate the greatest common factor of 743586 and 5868.
6
Calculate the highest common divisor of 6006 and 107318211.
3003
Calculate the greatest common divisor of 98166325 and 993.
331
What is the highest common factor of 5847958 and 29257?
1721
Calculate the greatest common divisor of 12176497 and 33431.
331
Calculate the greatest common divisor of 5530153 and 899635.
1487
What is the highest common divisor of 52 and 210337868?
52
What is the greatest common factor of 7 and 766648?
1
What is the greatest common divisor of 6902570 and 15515?
535
What is the highest common divisor of 6012 and 2696048?
668
What is the greatest common divisor of 152 and 143947268?
76
What is the greatest common factor of 4205289 and 1444?
361
What is the highest common factor of 144 and 634716?
36
Calculate the highest common divisor of 65096 and 261311.
103
Calculate the highest common divisor of 605964 and 39.
3
Calculate the greatest common factor of 3519494 and 275.
11
What is the highest common divisor of 14262 and 182986214?
4754
Calculate the greatest common divisor of 519274745 and 17655.
5885
What is the greatest common divisor of 458420833 and 26?
13
What is the highest common divisor of 1157 and 265794139?
1157
Calculate the highest common divisor of 23837 and 5742.
11
What is the greatest common divisor of 175959 and 240639?
147
Calculate the highest common factor of 1420 and 251900.
20
Calculate the highest common divisor of 1440 and 2874160.
80
What is the greatest common divisor of 443211 and 33?
3
Calculate the greatest common factor of 44295546 and 139046.
3758
Calculate the greatest common divisor of 83350175 and 50.
25
Calculate the highest common factor of 79357481 and 497.
497
Calculate the greatest common factor of 316 and 1670771.
79
What is the greatest common divisor of 18101324 and 13128?
2188
Calculate the greatest common factor of 271835125 and 29000.
3625
What is the greatest common factor of 1379 and 351335119?
197
Calculate the highest common factor of 51423 and 169443.
843
What is the greatest common factor of 485087 and 8131?
47
Calculate the highest common divisor of 3831740 and 3740.
220
What is the greatest common divisor of 119246 and 53606?
1094
What is the highest common factor of 10330434 and 5842?
254
What is the highest common factor of 685 and 19473865?
685
Calculate the greatest common factor of 101694 and 650454.
102
What is the greatest common divisor of 4601 and 16531049?
43
What is the greatest common divisor of 6660 and 44638650?
3330
Calculate the greatest common factor of 2322 and 159983220.
258
Calculate the greatest common factor of 314 and 37539485.
157
Calculate the highest common factor of 17395 and 136175515.
2485
What is the greatest common divisor of 12669283 and 88?
11
Calculate the highest common factor of 164187 and 29919.
3
What is the greatest common factor of 273 and 135354072?
21
Calculate the greatest common divisor of 2756 and 481676.
52
What is the greatest common factor of 137 and 44035499?
137
What is the greatest common factor of 10746 and 147456?
18
Calculate the highest common factor of 2174 and 36100357.
1087
Calculate the greatest common factor of 1664556 and 20128.
148
What is the highest common factor of 9796 and 53?
1
What is the highest common divisor of 177762 and 19875?
159
What is the greatest common divisor of 16 and 56015264?
16
What is the greatest common divisor of 587 and 28876291?
587
Calculate the greatest common factor of 809 and 44020117.
809
What is the greatest common factor of 129583 and 25654?
101
Calculate the highest common factor of 16375794 and 887.
887
What is the greatest common divisor of 3480 and 51794?
58
What is the highest common factor of 97 and 531277924?
97
What is the greatest common divisor of 1308 and 26737488?
12
What is the highest common divisor of 3295 and 771108421?
659
Calculate the greatest common divisor of 8950697 and 21.
7
Calculate the highest common factor of 727936 and 59104.
32
What is the greatest common factor of 1620 and 32950?
10
Calculate the greatest common divisor of 1308207 and 487635.
3363
Calculate the greatest common factor of 2716 and 12108607.
679
What is the greatest common divisor of 496 and 46820912?
496
What is the greatest common factor of 230480 and 1111980?
860
Calculate the highest common factor of 330 and 249670.
10
What is the greatest common factor of 24961760 and 160?
160
What is the greatest common divisor of 14940 and 250660?
1660
What is the highest common factor of 51261705 and 58?
29
What is the greatest common divisor of 1503631 and 33439?
281
Calculate the greatest common factor of 550547 and 140925.
1879
Calculate the highest common divisor of 18921056 and 9702.
1078
Calculate the highest common divisor of 7785 and 13067955.
45
Calculate the highest common factor of 269 and 33181150.
269
Calculate the greatest common factor of 53590 and 37228973.
5359
What is the greatest common factor of 63921 and 103818?
429
What is the highest common divisor of 120091675 and 3100?
775
What is the highest common divisor of 3712 and 574606?
58
Calculate the highest common factor of 38144 and 725034.
298
What is the highest common divisor of 3221930 and 370?
10
Calculate the highest common factor of 776 and 68396.
4
What is the greatest common factor of 5248570 and 4610?
10
Calculate the highest common divisor of 1311724 and 71928.
148
Calculate the greatest common divisor of 33341346 and 161226.
954
What is the greatest common divisor of 274791 and 10527?
363
Calculate the highest common divisor of 31275 and 25500.
75
Calculate the highest common divisor of 290 and 112352960.
290
Calculate the greatest common factor of 1190096748 and 3144.
1572
What is the greatest common divisor of 799 and 16189949?
47
What is the greatest common factor of 4055125 and 250?
125
What is the highest common factor of 18 and 2465874?
18
Calculate the highest common divisor of 2 and 4559649.
1
Calculate the highest common factor of 7685368 and 984.
328
Calculate the greatest common divisor of 49579206 and 1977.
1977
Calculate the greatest common factor of 21965202 and 378.
378
Calculate the greatest common divisor of 21 and 56230188.
21
Calculate the highest common factor of 5622 and 125852218.
1874
What is the greatest common divisor of 30684417 and 3?
3
What is the highest common divisor of 2030 and 399529984?
406
Calculate the greatest common factor of 29757 and 118739586.
2289
Calculate the greatest common divisor of 14456 and 98744.
8
What is the greatest common divisor of 46164550 and 885?
295
What is the greatest common factor of 696895 and 498020?
185
What is the greatest common divisor of 8213722 and 3146?
242
What is the greatest common divisor of 1926477 and 21?
21
What is the greatest common factor of 756010 and 4255?
115
What is the highest common divisor of 67424 and 60466?
98
What is the greatest common divisor of 139890792 and 24?
24
Calculate the highest common divisor of 48456 and 139032.
72
What is the greatest common factor of 1685476 and 923?
13
|
{
"pile_set_name": "DM Mathematics"
}
|
-25 in ascending order.
-28, -25, 0, 3, 115
Put 3/11, -3, -1892 in decreasing order.
3/11, -3, -1892
Put -1, 4, -765, 15, -3 in increasing order.
-765, -3, -1, 4, 15
Put 2, -4/9, -7, 0, -20.5 in descending order.
2, 0, -4/9, -7, -20.5
Put 269, -294, 20 in decreasing order.
269, 20, -294
Sort -32, 619, 2, -1, 3, -2 in descending order.
619, 3, 2, -1, -2, -32
Sort 19179, 1/5, -2.
-2, 1/5, 19179
Sort 4, -0.3, -0.1, 144, -76 in increasing order.
-76, -0.3, -0.1, 4, 144
Sort -5, -0.1, -10, 3, -201 in decreasing order.
3, -0.1, -5, -10, -201
Sort -0.2, 3/22, 0.303, -2/21 in descending order.
0.303, 3/22, -2/21, -0.2
Sort 1, -3, 2, -5672, -5.
-5672, -5, -3, 1, 2
Sort -2, -1, -70, 2, -11 in increasing order.
-70, -11, -2, -1, 2
Put 0, -35, -75, -15 in descending order.
0, -15, -35, -75
Sort 2, -13, -7, 8 in decreasing order.
8, 2, -7, -13
Sort 3, 17, 2, -49.
-49, 2, 3, 17
Sort -19, -15, 2, -16 in descending order.
2, -15, -16, -19
Sort -5, 2/3, 0.5, -631, -7, -1 in increasing order.
-631, -7, -5, -1, 0.5, 2/3
Sort -5, 1183, 5, -4, 2, 14.
-5, -4, 2, 5, 14, 1183
Sort -85, 7, -3, 114, -2.
-85, -3, -2, 7, 114
Sort 2, 64, 0.3, 1, 2/3 in descending order.
64, 2, 1, 2/3, 0.3
Sort 10, -60, 2, 7.
-60, 2, 7, 10
Sort -238, 1, 7, 1/5, -0.04, 0.4 in descending order.
7, 1, 0.4, 1/5, -0.04, -238
Sort 15/7, -1, 13/94, -1/2.
-1, -1/2, 13/94, 15/7
Put 8, 5, 3, -89, 2, -1 in ascending order.
-89, -1, 2, 3, 5, 8
Sort 4, 3, -37, -5, -44 in descending order.
4, 3, -5, -37, -44
Sort -1.448, 2, 1 in decreasing order.
2, 1, -1.448
Sort -1, -3, 5, -69 in descending order.
5, -1, -3, -69
Sort -2, 4, -141, 1, -1 in decreasing order.
4, 1, -1, -2, -141
Put -6/25, 2/29, -3, -1, 4 in descending order.
4, 2/29, -6/25, -1, -3
Put 15, 4, 5, -25 in decreasing order.
15, 5, 4, -25
Sort -0.062, -5, -356.6 in descending order.
-0.062, -5, -356.6
Sort -4, -2/11, 1/10, 1/6, -5, 74/5.
-5, -4, -2/11, 1/10, 1/6, 74/5
Sort 6, 5, -727, -13 in decreasing order.
6, 5, -13, -727
Sort -4, -1660, -12, 3 in ascending order.
-1660, -12, -4, 3
Sort 2, -54651, -10 in decreasing order.
2, -10, -54651
Sort 166/7, 0.2, -5/2, -1/4, -1 in ascending order.
-5/2, -1, -1/4, 0.2, 166/7
Sort 2, 1, 20214, -3/2 in decreasing order.
20214, 2, 1, -3/2
Sort 2/25, 11, 4/9, -1/8 in descending order.
11, 4/9, 2/25, -1/8
Sort 18, 2070, 1, 0 in decreasing order.
2070, 18, 1, 0
Sort 0.158, -0.039, -4/7, 0.1, 10 in ascending order.
-4/7, -0.039, 0.1, 0.158, 10
Sort 4/7, 2/113, 7 in descending order.
7, 4/7, 2/113
Put -65, -270, 1, 5, -5 in descending order.
5, 1, -5, -65, -270
Sort -1, -194974, -3, 4 in decreasing order.
4, -1, -3, -194974
Sort 9, -4/9, -1, 5, 0.06 in decreasing order.
9, 5, 0.06, -4/9, -1
Sort -9406, -2, 4.
-9406, -2, 4
Sort 3, -460, -2/15, 5 in descending order.
5, 3, -2/15, -460
Sort -4, -319, -9, 3, 2, -3 in increasing order.
-319, -9, -4, -3, 2, 3
Put -2, 1, 5, 4, 0, 487 in decreasing order.
487, 5, 4, 1, 0, -2
Sort 3/5, 7.07, -2 in decreasing order.
7.07, 3/5, -2
Put -1, -2, -3, 286, -4 in increasing order.
-4, -3, -2, -1, 286
Sort 127, 3, -12, 0.3 in decreasing order.
127, 3, 0.3, -12
Sort -632, 9, 1, -24, 0 in decreasing order.
9, 1, 0, -24, -632
Put -4, -3620332, 0 in increasing order.
-3620332, -4, 0
Put -11129, -7, 5 in decreasing order.
5, -7, -11129
Sort -4/5, 19316, 7 in increasing order.
-4/5, 7, 19316
Sort 0.92, 0, 235/2, 3 in ascending order.
0, 0.92, 3, 235/2
Put 63, 2, 5, -522 in descending order.
63, 5, 2, -522
Sort -5/8, 76/23, 0.08 in descending order.
76/23, 0.08, -5/8
Sort 3, 919, 84.
3, 84, 919
Put 3, 4, 20, 1, -13 in descending order.
20, 4, 3, 1, -13
Sort 147, 0, 29 in decreasing order.
147, 29, 0
Put 26, 17, -422 in decreasing order.
26, 17, -422
Put 5, -2, -1924, 0, -5 in increasing order.
-1924, -5, -2, 0, 5
Sort -4, -18, -399, -3, 4, 0 in ascending order.
-399, -18, -4, -3, 0, 4
Put 8, -18, 2, -23, 5 in increasing order.
-23, -18, 2, 5, 8
Sort 1, -1.51, -287, 0.3.
-287, -1.51, 0.3, 1
Sort 12, 60, -8, -3, 5, 2 in descending order.
60, 12, 5, 2, -3, -8
Sort 12, 5, 3.113, -6, 1 in decreasing order.
12, 5, 3.113, 1, -6
Sort -2, -4, 4, 19811.
-4, -2, 4, 19811
Put -18, 4715, 4 in decreasing order.
4715, 4, -18
Sort 11, -5, -6, -47 in decreasing order.
11, -5, -6, -47
Sort 5, 412, 1, 6 in decreasing order.
412, 6, 5, 1
Sort 2, -1, -2, -4051, -3 in decreasing order.
2, -1, -2, -3, -4051
Put -9, 1/4, 2/9, -1/4, 22.1 in descending order.
22.1, 1/4, 2/9, -1/4, -9
Put 3, -3, -4, 2, -104 in descending order.
3, 2, -3, -4, -104
Sort 0.3, -2, -3030, 4, -9.
-3030, -9, -2, 0.3, 4
Put 0, -8846, -4 in ascending order.
-8846, -4, 0
Put -2, 16, 3, 446, 5, -5 in decreasing order.
446, 16, 5, 3, -2, -5
Put -3/8, -5, -4, 0.1, 1/6101 in decreasing order.
0.1, 1/6101, -3/8, -4, -5
Put -5, -4, -1355 in descending order.
-4, -5, -1355
Put 5, 0, 4/31, -1/7, -9.9 in increasing order.
-9.9, -1/7, 0, 4/31, 5
Sort 136, 2, -4, -5, 0.7 in decreasing order.
136, 2, 0.7, -4, -5
Put 2, 7, 1626 in decreasing order.
1626, 7, 2
Put 0.4, -0.4, 57, 1076 in ascending order.
-0.4, 0.4, 57, 1076
Put 65, 13, -15, 0 in increasing order.
-15, 0, 13, 65
Sort -5, 4, 3358, -4/7, -3, 0.5 in ascending order.
-5, -3, -4/7, 0.5, 4, 3358
Sort 2, 6, -0.5, 64/9, 4/5 in ascending order.
-0.5, 4/5, 2, 6, 64/9
Sort 1, -12, 56, 12.
-12, 1, 12, 56
Sort -0.03, -1, 0.5, -0.1, 0.0075.
-1, -0.1, -0.03, 0.0075, 0.5
Sort 1/2, 104, -2, -10 in increasing order.
-10, -2, 1/2, 104
Sort -5, 0.075, -9, 0.05.
-9, -5, 0.05, 0.075
Sort 2, 3, 4, -37369, -2 in increasing order.
-37369, -2, 2, 3, 4
Put -0.2, -1103, 5, -46 in decreasing order.
5, -0.2, -46, -1103
Put -11.7, 12, 26, -5 in decreasing order.
26, 12, -5, -11.7
Sort 2, -5, -1, -5/116 in descending order.
2, -5/116, -1, -5
Put 5, -1/5, 2, 0.5, 0.134, -4 in increasing order.
-4, -1/5, 0.134, 0.5, 2, 5
Put 2, 21429, 9 in descending order.
21429, 9, 2
Put 2.44, -1/3, 18, -2 in increasing order.
-2, -1/3, 2.44, 18
Sort -18, -5, -3, 2, 0.1, 28 in increasing order.
-18, -5, -3, 0.1, 2, 28
Sort -0.1, -34, -2, 2/11.
-34, -2, -0.1, 2/11
Put -3, 3, -1, 35206, -5 in ascending order.
-5, -3, -1, 3, 35206
Put -5, 3, 255, 9 in decreasing order.
255, 9, 3, -5
Put -598, -39, 4, -1, 3 in increasing order.
-598, -39, -1, 3, 4
Put 3/7, -0.5, 0.003, -1/13 in descending order.
3/7, 0.003, -1/13, -0.5
Sort -1, 1, -11, 2, 238 in descending order.
238, 2, 1, -1, -11
Sort 17, 4, -7, -3 in increasing order.
-7, -3, 4, 17
Sort -35, 11391, 2 in decreasing order.
11391, 2, -35
Sort 4, 0.3, 108, -1/64 in decreasing order.
108, 4, 0.3, -1/64
Put -0.5, 3, -354/7, -1/3, -4 in increasing order.
-354/7, -4, -0.5, -1/3, 3
Sort 5, -21, -126, -5.
-126, -21, -5, 5
Put 1, -30179, -38 in decreasing order.
1, -38, -30179
Put -4/3, 0.1, -0.7, -1, 2, -0.11 in decreasing order.
2, 0.1, -0.11, -0.7, -1, -4/3
Sort 28, 0.31, -77 in decreasing order.
28, 0.31, -77
Put -4, 1, -1, -5119 in decreasing order.
1, -1, -4, -5119
Put -2, -4, -19, -8, -5, -117 in ascending order.
-117, -19, -8, -5, -4, -2
Put -4, -1057, 3, 5, -8 in ascending order.
-1057, -8, -4, 3, 5
Put 718, -2/3, -6, 7, 0.4, -2 in descending order.
718, 7, 0.4, -2/3, -2, -6
Sort -0.2, -717, -0.3, 0.48, 0.3, 0 in increasing order.
-717, -0.3, -0.2, 0, 0.3, 0.48
Put 11, 51, -2, -9 in descending order.
51, 11, -2, -9
Sort 6, -3093, -4, -5.
-3093, -5, -4, 6
Sort -2/7, 5, -3.61, -13.2, -0.5 in increasing order.
-13.2, -3.61, -0.5, -2/7, 5
Put -339, -2, -4/7, 2/7, 19 in descending order.
19, 2/7, -4/7, -2, -339
Put -2, 4, 1, -388, -3, 0 in increasing order.
-388, -3, -2, 0, 1, 4
Put 1, -3/16, 6.94, 0, -0.2 in decreasing order.
6.94, 1, 0, -3/16, -0.2
Sort 33, 2, 6431 in increasing order.
2, 33, 6431
Put -1/11, 2, 1, 0, -2022 in descending order.
2, 1, 0, -1/11, -2022
Put 0, 3, -0.3, -0.4, 0.4, -1.1 in ascending order.
-1.1, -0.4, -0.3, 0, 0.4, 3
Sort 2, -364467, -5, 3 in increasing order.
-364467, -5, 2, 3
Sort 61, 1619/6, -0.2.
-0.2, 61, 1619/6
Put 5, 517, -152 in ascending order.
-152, 5, 517
Put 8, 4607, 1, -7 in descending order.
4607, 8, 1, -7
Put 14, 3, 271, -2, 5 in descending order.
271, 14, 5, 3, -2
Put 5, 10, -1232 in ascending order.
-1232, 5, 10
Put 0.09, -2/11, 58502 in ascending order.
-2/11, 0.09, 58502
Put 87, 3, -2, 59, 0.5 in descending order.
87, 59, 3, 0.5, -2
Sort
|
{
"pile_set_name": "DM Mathematics"
}
|
?
12
Let i(x) = -10*x**3 + 2*x**2 - 31. Let n(j) = 8*j**3 - 2*j**2 + 32. Let v(z) = -7*i(z) - 6*n(z). Find the third derivative of v(g) wrt g.
132
Suppose -2*d + 1 = -3. What is the third derivative of j**d - 7*j**5 + 7*j**5 + 3*j**5 wrt j?
180*j**2
Let z(q) be the second derivative of -4*q**5/5 + 13*q**2/2 - 9*q. Find the first derivative of z(c) wrt c.
-48*c**2
Let r(u) = -u + 1. Let s(l) be the first derivative of -l**3 - 5*l**2/2 + 4*l - 4. Let m(z) = 4*r(z) - s(z). What is the second derivative of m(x) wrt x?
6
Let u(i) be the third derivative of 7*i**6/60 + i**3 - 13*i**2. What is the derivative of u(l) wrt l?
42*l**2
Let d be (1 - -3 - 0) + -3 + -1. Let k(j) be the third derivative of d + 4*j**2 - 1/12*j**4 - 1/3*j**3 + 0*j. Differentiate k(b) wrt b.
-2
Let z(n) = n**2 + 14*n + 3. Let k be z(-14). Let u be 2/3 + (-12)/(-9). Find the first derivative of -k - r + r + u*r + 0*r wrt r.
2
Let w(s) be the second derivative of -s**4/3 - 19*s**2/2 + 3*s. Find the first derivative of w(q) wrt q.
-8*q
Let z(m) be the second derivative of 5*m**4/12 - 2*m**2 + 21*m. Differentiate z(y) wrt y.
10*y
Let x(s) = 85*s - 175. Let l(p) = -21*p + 44. Let o(y) = 15*l(y) + 4*x(y). What is the derivative of o(n) wrt n?
25
Suppose j - 5*j + 19 = -3*d, 3*d = -3*j - 12. Let u be -1 + d/((-10)/8). What is the derivative of u*b**4 - 1 + 2 - b**4 wrt b?
8*b**3
Let g(w) be the second derivative of -4*w**3 - 8*w**2 + 7*w - 3. Find the first derivative of g(q) wrt q.
-24
Let w(v) be the first derivative of 4 + 0*v**3 + 0*v**4 - 6*v + 0*v**2 - 2/5*v**5. Differentiate w(m) wrt m.
-8*m**3
Find the first derivative of -l**4 - 8*l**4 + 3*l**4 + 27 wrt l.
-24*l**3
Differentiate 3*b**3 - 3*b**3 - 6*b**3 - 13 - 6*b**3 with respect to b.
-36*b**2
Let r(v) be the first derivative of v**4/2 + 2*v**3/3 + 17*v**2/2 - 31. What is the second derivative of r(y) wrt y?
12*y + 4
Let u = -2 - -4. Differentiate 0 + g**2 + 1 - 4 + 3*g**u with respect to g.
8*g
Let t be 1/(8/7 - 1). Let v(u) = 3*u - 3. Let g be v(2). Find the third derivative of -2*b**2 + t - 7 + 2*b**g wrt b.
12
Let g be (-82)/6 - 1/3. Let h be (-4)/g + (-2)/7. Find the second derivative of 3*j**5 + h*j + 2*j - 2*j**5 wrt j.
20*j**3
Let w = 0 - 6. Let j be (-8)/14*21/w. Find the third derivative of -2*p**2 + 0*p**2 + j*p**6 + p**2 wrt p.
240*p**3
Let u(o) = -o**3 + o**2 + o - 1. Let a(q) = 10 + 0*q**3 - 4 - 9*q - 9*q**2 + 12*q**3. Let x(l) = a(l) + 9*u(l). Find the first derivative of x(y) wrt y.
9*y**2
Let r = -5 + 4. Let l(f) = 6*f**2 + 2*f + 1. Let a be l(r). Find the second derivative of 0*c**a - c - 3*c**5 + 0*c - 2*c wrt c.
-60*c**3
Let w(o) = -o**3 + o. Let t(h) = -13*h**4 - h**3 - 29*h. Let r(c) = -t(c) + w(c). Find the second derivative of r(z) wrt z.
156*z**2
Let f(i) be the third derivative of -5*i**2 - 2/105*i**7 + 1/20*i**5 + 0 + 0*i**4 + 0*i + 0*i**3 + 0*i**6. What is the third derivative of f(x) wrt x?
-96*x
What is the second derivative of -10*m**5 + 8*m**5 - m**5 + m wrt m?
-60*m**3
Let i(j) = j - 6. Let d be i(6). What is the third derivative of n**2 - 3*n**2 + d*n**4 - 3*n**4 + 2*n**4 wrt n?
-24*n
Let x(f) be the second derivative of -f**8/1680 + f**5/40 - f**4/3 - f. Let j(h) be the third derivative of x(h). What is the first derivative of j(a) wrt a?
-12*a**2
Suppose -22 = -5*a - 2*i, 5*i - 5 + 13 = -2*a. Let y(m) = -9*m + 5. Let w(p) = -8*p + 4. Let j(z) = a*w(z) - 5*y(z). Differentiate j(u) with respect to u.
-3
Suppose -5*m - 3*i = -27, -3*m + 13 = 5*i - 4*i. Differentiate -m*k**2 + 9*k**2 - 5 - 3 + 2 with respect to k.
12*k
Let p = -10 - -12. What is the third derivative of -3*m**p + 3*m**6 + 2*m**6 - 4*m**6 wrt m?
120*m**3
Let c(g) be the third derivative of 1/30*g**5 - 1/40*g**6 + 0*g + 0 - 3*g**2 + 0*g**3 + 0*g**4. Find the third derivative of c(b) wrt b.
-18
Find the second derivative of 24 - 23*r - 9 - 8 - 5 + 40*r**2 wrt r.
80
Differentiate 16 - 19*m**2 + 0 + 13 - 8 wrt m.
-38*m
Let d(k) = 7*k - 4. Suppose -2*q = -4*h + 14, -3*h - 5*q + 24 = -2*q. Let m(f) = -14*f + 7. Let b(i) = h*d(i) + 3*m(i). What is the derivative of b(g) wrt g?
-7
Let q(r) = -r**3 + 4*r**2 + 7*r - 3. Let w be q(5). Find the second derivative of w*o**2 - 6*o - 2*o + 4*o + o**2 wrt o.
16
What is the derivative of 4 - 24 - v - 5*v + 23*v wrt v?
17
Let d(b) be the first derivative of 2*b**6/15 + b**4/12 - 3*b - 4. Let y(c) be the first derivative of d(c). Find the third derivative of y(z) wrt z.
96*z
Let i = -6 - -10. Suppose -a - 5*q = -2, -i*q + 2 = a - q. What is the third derivative of -2*k**2 - 3*k**6 - 2*k**2 + k**a wrt k?
-360*k**3
Suppose 0*g = -3*g + 6. Let y(o) be the first derivative of 0*o**4 + 0*o + 2/3*o**6 + 0*o**5 + 3 + 0*o**3 - 3/2*o**g. Find the second derivative of y(f) wrt f.
80*f**3
What is the third derivative of -4*r**2 + 0*r**4 - 4*r**4 + 3*r**2 + 6*r**4 wrt r?
48*r
Let f(v) = -v - 3. Let s be f(-5). Let y(z) be the first derivative of 0*z**s + 2 - 1/2*z**4 + 0*z**3 + 2*z. Find the first derivative of y(p) wrt p.
-6*p**2
Let w(y) = 17*y**2 + y + 4. Let o(m) = m**2 + m - 1. Let p(n) = -4*o(n) - w(n). Find the second derivative of p(c) wrt c.
-42
What is the derivative of -u**3 - 6 + 290*u - 290*u wrt u?
-3*u**2
Let w(x) = 27*x**6 - 3*x**5 + 3*x**3 - 16*x**2 + 3*x - 3. Let j(v) = -v**5 + v**3 + v - 1. Let d(n) = -3*j(n) + w(n). Find the third derivative of d(z) wrt z.
3240*z**3
Let w = 6 + -4. Find the second derivative of 3*l + 4*l - 3*l**w - 4*l wrt l.
-6
Let l(r) be the second derivative of 7*r**5/60 - 3*r**3/2 + 4*r**2 - 10*r. Let i(h) be the first derivative of l(h). What is the derivative of i(c) wrt c?
14*c
Let j(o) be the third derivative of 2*o**5/15 - 2*o**3/3 - 8*o**2. What is the derivative of j(v) wrt v?
16*v
Let y(q) be the third derivative of q**9/12 - 7*q**5/20 - 34*q**2. Find the third derivative of y(x) wrt x.
5040*x**3
Let q(n) = -4*n**2 + 4*n**2 - 6*n**4 + n**2 + n**4. Let c(o) = 6*o**4. Let v(g) = 2*c(g) + 3*q(g). What is the third derivative of v(r) wrt r?
-72*r
Let w(n) = n. Let q(i) = -2*i - 5 + 0 + 8. Let t(b) = -q(b) - 5*w(b). What is the derivative of t(x) wrt x?
-3
Let p(f) be the second derivative of -3*f + 0 + 0*f**5 - 1/5*f**6 + 7/12*f**4 + 0*f**2 + 0*f**3. Find the third derivative of p(w) wrt w.
-144*w
Let k(u) be the third derivative of -11*u**9/252 - 31*u**5/60 + 35*u**2. Find the third derivative of k(l) wrt l.
-2640*l**3
Let d(p) be the second derivative of 0*p**3 + 0*p**5 + 3/10*p**6 + 8*p + 3*p**2 + 0 + 0*p**4. Differentiate d(k) wrt k.
36*k**3
Suppose -5*l = -0*l + 4*g - 27, 30 = 5*l + 5*g. Let m(f) be the first derivative of f + 0*f**2 - 2 - 1/3*f**l. Find the first derivative of m(y) wrt y.
-2*y
Let h(i) be the third derivative of i**9/1512 - i**6/90 - i**3/2 - i**2. Let n(m) be the first derivative of h(m). What is the third derivative of n(p) wrt p?
120*p**2
Let m(r) be the third derivative of -3*r**8/56 - r**4/24 + 15*r**2. Find the second derivative of m(j) wrt j.
-360*j**3
Suppose -14 = -2*y + 2*i, 8 = 2*y - 0*y + 4*i. Let c = -4 + y. Find the second derivative of l - 2*l**c - 2*l**2 - 2*l + l**2 wrt l.
-6
Let t(b) be the first derivative of -5*b**7/7 + 3*b**3 - 2. Find the third derivative of t(w) wrt w.
-600*w**3
Let t be (-14)/(-35) - 18/(-5). What is the third derivative of 3*b**2 + 0*b**2 - 8*b**2 + 2*b**t + 0*b**4 wrt b?
48*b
What is the third derivative of -6*d**2 + 5*d**2 + 3*d**2 - 3*d**2 - 3*d**3 wrt d?
-18
Let o(j) be the third derivative of -j**9/84 + 7*j**5/60 + j**2. What is the third derivative of o(n) wrt n?
-720*n**3
Let g(z) = -13*z**4 + 4*z**3 + 4*z + 5. Let f(h) = h**4 - h**3 - h. Let r(p) = -4*f(p) - g(p). Differentiate r(t) wrt t.
36*t**3
Let x(g) be the second derivative of -14*g**6/15 + 11*g**3/2 - 25*g. What is the second derivative of x(t) wrt t?
-336*t**2
Let j(f) = -2*f**4 - 8*f**2 - 6*f + 8. Let b = 13 - 16. Let s(k) = -k**2 - k + 1. Let y(v) = b*j(v) + 24*s(v). What is the second derivative of y(g) wrt g?
72*g**2
Let u(r) = -3*r**3 + 50*r. Let k(j) = 5*j**3 - 75*j. Let g(p) = -5*k(p) - 8*u(p). What is the second derivative of g(w) wrt w?
-6*w
Find the first derivative of -11*m**3 - 349*m**2 + 349*m**2 + 7 wrt m.
-33*m**2
Find the first derivative of -23 + 19*v**2 + 21 + 18 + 4 wrt v.
38*v
Let m(z) be the first derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
first derivative of -u**4/4 + 5*u**3/3 + 3*u**2 + 2*u - 4. Let q be a(6). Solve -2*w + 4*z = q*z - 10, 16 = -4*z for w.
1
Let l(w) = w**3 + 8*w**2 + 5*w - 9. Suppose 0 = p + 5 + 2. Let z be l(p). Solve 5*x = g + 1, z = -5*x - 5*g - 0 for x.
0
Let w(c) be the first derivative of c**2/2 + 2*c - 1. Let s be w(-2). Solve s*g + 30 = 2*g - 4*d, -2*g = d - 5 for g.
5
Let h be 4*18/(-15)*-5. Suppose -5*w + h = -16. Let x = w - 6. Solve 17 = -2*p - 3*b, 0*b - x*b - 10 = 0 for p.
-1
Suppose -21 = -6*m + 3*m. Let j = m + -2. Solve z = -4*z + 15, j*o - 5*z = 0 for o.
3
Let v(h) = -h - 1. Let z be v(-6). Suppose 2*q + q = -z*w, 0 = -3*q - 3*w. Solve -3*x - 7*t + 2*t = -1, -5*x + 4*t + 14 = q for x.
2
Let f be (5 + -4)/((-3)/(-15)). Suppose f*r - 2*r + 2*b - 4 = 0, 3*b = -3*r + 6. Solve l + 28 = -5*y, r = 5*l + 2*y + 28 - 3 for l.
-3
Let d = 25 - 25. Solve 5*u = -0*s + s - 28, d = 5*s - 2*u - 25 for s.
3
Let a = 3 + -5. Let p be 18/27*(-27)/a. Solve 3*v - 17 = -5*t, -3*t + v + 4 + p = 0 for t.
4
Let o(m) = m**3 + m**2 - m. Let x be o(-2). Let q be ((-15)/(-6) + x)*0. Solve q = -5*i - 4*w + 14, -2*i + 3*w - 2*w + 3 = 0 for i.
2
Let a be -2 - (0 + -11) - 1. Suppose 2*n - a = -2*m, 0*n = -5*n + 5*m + 10. Solve 2*s = 4*d + 7 + 1, 0 = -3*d - n*s + 12 for d.
0
Let x be (12/(-8))/(3/(-8)). Suppose x*b + 1 = 13. Solve -2*q = -2*p, -b*q = -q - 3*p + 3 for q.
3
Let k(y) = y**3 + 5*y**2 + 3*y - 4. Let j be k(-4). Suppose -3*r - 2*r = -3*i - 10, 3*i - 20 = -r. Solve -5*c = i*n - 0*n + 35, -5*c - 3*n - 27 = j for c.
-3
Let w(m) = m**3 - 5*m**2 + 5*m - 3. Let c be w(4). Let x be -8 - (2 - -1 - c). Let d be (-54)/x - (-6)/(-15). Solve 4*p = 2*t - 10, 0*t + d = 5*p + t for p.
0
Let h = 2 + 0. Let x be 0*((-1)/h)/1. Suppose x = -0*v - 2*v. Solve -b - 5 = -0*q + q, -2*q - 3*b - 14 = v for q.
-1
Let b = 6 + -6. Suppose 0 = -4*k - r + 9, 3*r + b*r = 3*k - 18. Solve 5*c = 3*t, 0 = -5*c - k*t - 19 - 11 for c.
-3
Let q(o) = o**3 + o**2 - o. Let a be q(0). Suppose 0 = -5*f - j + 66 - 19, f - 5*j + 1 = a. Solve 0 = 3*s - m + 13 - 1, 2*s - m = -f for s.
-3
Suppose -c - 10 = y + 2*c, 5*c = y - 22. Let l = 15 + -9. Let o = 7 - l. Solve -3*n - 25 = -4*k, -y*n + 9 + o = 4*k for n.
-3
Let m(f) = 3*f**3 - f**2 + 1. Let r be m(1). Suppose 2*x + 8 = 0, -s - 4*x = -r*s + 24. Solve j - 3*k + 2*k = -s, -j - 5*k = -14 for j.
-1
Suppose 10 = 3*x + 5*v, 0*x - x = 2*v - 5. Let p be 1/5 + 182/(-35). Let d be (-1)/x - 24/p. Solve -d*t = -4*s - 15, -t - 12 = 2*s - 1 for t.
-1
Let p(a) = -a**2 - 10*a - 7. Let o be p(-9). Solve -v - 2*y - 2 = y, 5*v - o*y + 27 = 0 for v.
-5
Suppose 0*t = 5*t - 100. Suppose r + 3*r = t. Let w be 6 - 1 - (-1 + 3). Solve -z = -j - 5*z + r, 0 = 5*j - 2*z - w for j.
1
Let o(q) = -q**2 + q - 3. Let m be o(0). Let s be 4*(-3)/6 - m. Suppose -n + 1 = -s. Solve 4*g + 14 = 3*c + n*g, -4*c - 2*g + 14 = 0 for c.
4
Let l(q) = q + 1. Let b be l(11). Solve c - 5*g = -c - 6, 2*c = -4*g + b for c.
2
Let g(h) = -h**3 + 9*h**2 - 9*h. Let q be g(6). Suppose q = 4*t - t. Solve 5*c = -x - t, -c + 4 = 4*x - 0*c for x.
2
Let d(r) = 14*r**2 - 1. Let j be d(-1). Let b = j + -1. Suppose -3*i = -3*h - 0 - b, 4*i = 5*h + 18. Solve -z - 2*l + 13 = 0, l - i + 18 = 4*z for z.
5
Suppose 5*k - 30 - 10 = 0. Let o(u) = u**2 - 10*u + 9. Let l be o(k). Let g be -3 + 3 + -2 - l. Solve -n + 0*m + 23 = -5*m, 5*n - 35 = g*m for n.
3
Let m = 2 + 3. Solve 3*x - 5 + 1 = m*h, x + 2 = 5*h for x.
3
Let r(d) = -d**3 - 7*d**2 + 6*d - 10. Let j be r(-8). Solve -j = s + 3*z, -3*s - 5*z - 10 = -0*s for s.
0
Let n(z) = -z**3 - 5*z**2 - 2*z - 7. Let l be n(-5). Let f be 1/3*15 + 1. Suppose f = -8*y + 11*y. Solve -2*q - 5*p = 1, q + 3*p + l = y for q.
2
Let o be 13 + (3/(-1))/3. Suppose -5*i = -o - 13. Let a be 4/(-6) - 2/(-3). Solve 0 = 3*t - 4*t + i*r + 6, 3*t - r + 10 = a for t.
-4
Let j be ((-6)/21)/(4/(-84)). Let o be ((-16)/(-10))/(1/5). Let a = 14 + -10. Solve a*d + o = 2*n, -3*n - j = d + 10 for d.
-4
Suppose 3*s - 12 = 15. Let h be (s + -2)*12/14. Solve -t - 3*w = 7, -w - h + 2 = 0 for t.
5
Let a(d) = 2*d**2 - 4*d + 2. Let u be a(2). Suppose -26 = -4*c - 2. Solve -f = -b + f - c, 2*b - 12 = -u*f for b.
2
Let m = -6 - -9. Suppose -3*f - 40 = -4*u + f, -9 = -u + 2*f. Let k = u + -9. Solve k*y + m*n = 9, 6*n - 3*n - 3 = 0 for y.
3
Let c(u) = 0*u + 11*u - 10*u + 13. Let t be c(-13). Solve 2*l = -3*d - 0 - 1, t = l - 2*d + 4 for l.
-2
Let s be 8/2*(-35)/(-28). Solve g + g + s*l = 1, -4*l = -5*g + 19 for g.
3
Suppose 3*y - 13 + 3 = -5*c, 0 = 3*y. Suppose -5*x + 1 = -g + 38, -c*g + x + 29 = 0. Solve 3*s + u + g = 0, -s - s - 3*u = 15 for s.
-3
Let n = -10 - -15. Suppose -n*t - 5*q = -50, t + 3*q + 1 = 11. Let u = t - 5. Solve s = u*x + 25, 6*x - 2*x = 5*s - 20 for x.
-5
Suppose g + 4*k - 32 = -11, -3*g + 23 = 4*k. Let o be (g - 1)/(14/7). Solve -u + 2*y + 1 + 1 = o, -2*y - 2 = 5*u for u.
0
Let l(y) = 6*y + 63. Let o be l(-10). Solve t - o*p + 1 = 0, 5*t - 3*t + p - 12 = 0 for t.
5
Suppose -6*b + 12 = -0. Solve -3*p + 2 = -5*p, -1 = -b*k - 3*p for k.
2
Suppose 2*v = -5*r - 0*v - 21, -v = -5*r - 27. Let h be 15/(-25)*r/1. Solve 2*o = -f, -2 = -5*o + h for f.
-2
Let a(z) = z**3 + 9*z**2 + 9*z + 10. Let r be a(-8). Solve -10 = -o - 5*h, h - r - 1 = 0 for o.
-5
Let b(g) = -g**2 + 4*g + 4. Let a be b(5). Let j be (-3 + a)*(-2)/4. Solve -k = -j*k - 3*w + 9, 4 = 4*k + 4*w for k.
-3
Suppose 0*o = -4*b - 4*o + 44, 4*b = o + 34. Let j = -5 + b. Solve -f + 3*n = 2, f - j*n - 5 = -6 for f.
-5
Suppose 5*b = b - 2*c + 16, -5*b + 23 = c. Solve 5*f - 4*n = -12, 0*f - b*n - 14 = f for f.
-4
Let d(t) = t**3 - 4*t**2 - t + 4. Suppose 26 - 2 = 2*q. Suppose 2*y = -4 + q. Let p be d(y). Solve -3*x = -3*j - p*j - 3, 5*j - 15 = -5*x for j.
1
Suppose 12 = 4*v + 4*s - 2*s, 0 = -5*s + 10. Solve -q = -c - 3*c - 8, -v*c = -5*q - 14 for c.
-3
Let c = -12 + 12. Suppose c*h + 2*h = 4. Solve h*x - 8 = 4*d - x, -2*d - 4*x - 26 = 0 for d.
-5
Suppose 6*t - 8*t = -40. Let a = t + -18. Solve -r = -4*g - 21, 1 = a*r - 1 for g.
-5
Let k = 3 + -10. Let y = -4 - k. Solve 0 = -5*b + 2*g, -5*b + g + y*g + 10 = 0 for b.
-2
Let y(r) = r**2 - 6*r + 8. Let j be y(4). Solve -3*f + 9*i - 4*i + 13 = j, 0 = -5*f + i + 7 for f.
1
Let b = 11 - 7. Let n = b + -4. Solve -2*q + 2 = 2*t, t - q + 5 + 0 = n for t.
-2
Suppose 0*p - 15 = 5*p. Let n(k) = -3*k**2 - k - 4. Let r be n(-4). Let c be ((-1)/p)/((-4)/r). Solve -3*j - c*h + h + 27 = 0, 4*h = 5*j for j.
4
Let n = 4 - 7. Let d(c) = -c - 12. Let m(o) = 2. Let h(b) = 2*d(b) + 10*m(b). Let v be h(n). Solve s - 10 = -3*g, -3*s = -v*s + g for s.
-5
Suppose 4*z + 8 = -4*b, -4*b - 12 = 4. Let u be 1/(z/8 + 0). Let h(y) = y**2 - 3*y. Let o be h(u). Solve 0 = 5*t - 4*r - 23, 5*t - o*r - r - 25 = 0 for t.
3
Let g(b) = b**3 - 6*b**2 - 9*b + 10. Let m be g(7). Let q(i) = i**3 + 6*i**2 + 3*i - 6. Let v be q(m). Solve 3*u = -2*w + v, -2*u = -4*u + 3*w + 5 for u.
4
Suppose -o - 6 - 24 = 0. Let f = -16 - o. Solve c = -4*z + 10, 2 = 3*c + 5*z - f for c.
2
Let l = 1 + 6. Suppose l*h = 2*h + 20. Solve h*o - 16 = 0, -6*k - o = -2*k + 4 for k.
-2
Suppose 4*u + 63 - 75 = 0. Solve -4*o - 5*q + 37 = 0, -u*o + q + 4 = -0*o for o.
3
Let d = -13 + 17. Solve -4 = -2*y + 4*q, 11 = 4*y - d*q - q for y.
4
Suppose n - 5 = -0*n. Suppose 2 = 2*x - 6. Solve 14 = -n*c + 2*f, 4*c - 2*f + 4 = -x*f for c.
-2
Suppose -2 = 3*u + p - 6, -5*p - 8 = u. Suppose u*k + 24 = 5*k. Solve -5*c + k + 14 = -4*g, 0 = 4*c - 3*g - 17 for c.
2
Suppose 12 = w + 3*w. Let o be 3 - 7 - -1 - 3. Let f(k) = k**3 + 5*k**2 - 8*k - 7. Let q be f(o). Solve -w*a + 4 = 13, 0 = -q*u + a + 28 for u.
5
Let t be -2 + 0 + (0 - -5). Suppose -4*x - 6 - 2 = 2*b, 4*b + 16 = -t*x. Solve x = -4*f + 3*r + 7, r + r + 4 = 2*f for f.
1
Suppose 36*z = 28*z + 32. Solve 13 = -z*p + 3*p + 2*t, -9 = 5*p + 4*t for p.
-5
Let w = 10 + -5. Let k(u) = -u**2 - 20*u - 75. Let n be k(-15). Solve 7 + 9 = -4*f + 3*t, n = -w*f + t - 20 for f.
-4
Suppose -4*r + 3 = -5*t + 6*t, 0 = -r + 5*t - 15. Solve 3*s = 9, 4*v + 28 = -r*v + 4*s for v.
-4
Let z = -38 + 25. Suppose -4*p - 2*o + 86 = -0*o, 5*p = -2*o + 108. Let b = p + z. Solve 0 = -5*t, 4*r + 5*t = -b - 7 for r.
-4
Let o = 11 + -8. Suppose -10 = -f - v, 8*v = 4*f + o*v - 49. Solve g + 0*j + 9 = -3*j, 3*g = -j - f for g.
-3
Suppose -6*c + 2 = -5*c. Suppose -4*u = -4*a - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
m be ((-27)/(-27) + 2/4)*f. Put m, 2, o, 0 in descending order.
2, 0, o, m
Let n = -2389/28680 + 11/120. Sort -1.4, 0.5, n in increasing order.
-1.4, n, 0.5
Let t(l) = -36*l - 174. Let n be t(-5). Suppose 0 = 3*p - 3*v - 21, 2*v = -n*p + 3*p + 6. Put p, -2, -1, 16 in descending order.
16, p, -1, -2
Suppose -4*g - 121 = -3*y - 0, -5*g + 34 = y. Suppose 144 - y = 21*a. Sort -4, a, 7 in descending order.
7, a, -4
Suppose 37*x - 56*x - 95 = 0. Let a = 1.84 + -2. Put x, 2/5, a, 0.07 in increasing order.
x, a, 0.07, 2/5
Let b = 0.2 - 0.5. Let l = 8 + -12. Let y = -585812 - -585809. Sort y, 5, b, l.
l, y, b, 5
Let t be 2/(-6) + 74/6. Let x = -86 - -52. Let h be 5742/1122 - ((-8)/x)/2. Sort -2, h, t in ascending order.
-2, h, t
Suppose -m = 3*m + 8. Let b = -82.177 - -0.177. Let w = b + 81. Sort w, -3, m.
-3, m, w
Let u(x) = -x**3 + 9*x**2 - 19*x + 31. Let h be u(7). Put h, -2, -22, -3, -6 in decreasing order.
-2, -3, h, -6, -22
Let o be (1/2)/(2/(-108)). Let y(t) = 25*t - 110. Let d be y(10). Suppose 2*z - d = 37*z. Put o, -1, -3, z in increasing order.
o, z, -3, -1
Let z = -3.44767 + 3.14767. Let i = -3 - -5. Put i, z, 10.5 in decreasing order.
10.5, i, z
Let o = -0.12 + 0.02. Let w be (-12)/7 - 1080/(-1120). Sort o, -16, w.
-16, w, o
Let c be (-72)/126*(-84)/(-24). Put -4, c, -0.07, -2/85 in ascending order.
-4, c, -0.07, -2/85
Let v be 26/10 - 156/(-65). Sort 0.4, -16.3, v, 3 in decreasing order.
v, 3, 0.4, -16.3
Let r = -0.4862 + -0.4138. Sort r, 10/11, -5, 1/5.
-5, r, 1/5, 10/11
Suppose 2*u + k = -80, -3*u + 7*u = -5*k - 148. Let v be 1080/80 - 1*(-1)/(-2). Suppose -3*i = v*i + 64. Sort 1, u, i.
u, i, 1
Let w = -8256 + 8132.088. Let g = w - -124. Let y = -0.028 + g. Sort y, 1, 5/2 in increasing order.
y, 1, 5/2
Suppose 125 = -351*l + 356*l. Sort -6, 1, l in increasing order.
-6, 1, l
Let d = 0.08126 - 6.08126. Put -2/11, -2.5, -4, d, 4/3 in decreasing order.
4/3, -2/11, -2.5, -4, d
Let y(o) = 36*o - 507. Let a be y(14). Put 24, 2, a, 0 in decreasing order.
24, 2, 0, a
Let i(m) = m**2 + 4*m. Let v be i(-3). Sort v, -5, 2, 50 in decreasing order.
50, 2, v, -5
Let d(b) = -b**3 - 6*b**2 - 2*b - 6. Let l be d(-6). Let k be l/(-10)*5/(-1) - 1. Let f = 3 + k. Sort 1, 0, f in decreasing order.
f, 1, 0
Let j(c) = 2*c**3 - 28*c**2 + 46*c + 26. Let s be j(12). Let x be (-1)/(3/6)*1. Sort s, x, -9 in decreasing order.
s, x, -9
Let m = 23 - 20. Let w(s) = -15*s + 53. Let j be w(m). Sort 4, j, 5, 3.
3, 4, 5, j
Let o be 1416/54 + -7 + 2/(-9). Let x(d) = -d**3 + 21*d**2 - 39*d + 19. Let t be x(o). Sort -3, 3, 1, t in increasing order.
-3, t, 1, 3
Let g = -10.2225 - -6.2225. Let m be 1*(0/2 + -5). Sort m, -96, g in decreasing order.
g, m, -96
Let r(n) = -n**3 - 9*n**2 - 11*n + 30. Let m be r(-7). Suppose m = 702*q - 711*q. Sort q, 1.2, -5, -2/9 in decreasing order.
1.2, -2/9, q, -5
Let d be ((-20)/10 - 7) + (-1 - 4). Sort -4, d, 1, 29 in descending order.
29, 1, -4, d
Let p = -1123/156 - -2213/260. Let y = p - 22/15. Let q = -2.18 - -25.18. Sort y, -2/5, q in descending order.
q, y, -2/5
Let k = -430 - -429.732. Let v = 0.328 + k. Sort v, -0.5, -6.
-6, -0.5, v
Suppose 2 = r, r = -2*q - 3*q - 93. Put q, -4, 4, -2 in decreasing order.
4, -2, -4, q
Let p = -0.5842 + 2.5842. Let k = 3.5 - -0.5. Sort k, p, 1/7, 2/3 in decreasing order.
k, p, 2/3, 1/7
Let f(m) = -m**3 - 8*m**2 + 3*m + 5. Let v be f(-9). Let o be ((-7)/14)/1*(-3)/(-9)*24. Put 3, o, v in decreasing order.
v, 3, o
Let s(n) = n**3 - 7*n**2 + 6*n + 5. Let q be s(6). Let l be 2/3*(-21)/2. Let r = 8397 + -8399. Sort r, l, 1, q in increasing order.
l, r, 1, q
Let k be (157/785)/(8/20*(-5)/(-4)). Suppose -3*r = -2*w + 4, 3*r + 5*w + 40 = -2*r. Sort 1/7, r, k, -8 in decreasing order.
k, 1/7, r, -8
Let b = -0.026 + -54.974. Let f = -57 - b. Sort 0.5, f, -0.01 in ascending order.
f, -0.01, 0.5
Let m = -4230 - -4230. Suppose 1 = 2*v + 5*i - 17, 5*i = 10. Sort v, -15, m in increasing order.
-15, m, v
Let p = 9672.4 + -9676.4. Let o(h) = -4*h**3 - 7*h**2 - 5*h - 6. Let n(k) = k**3 + k**2 + 1. Let r(i) = -3*n(i) - o(i). Let b be r(-3). Sort p, b, 6.
p, b, 6
Let i = 29 + -41.3. Let s = i - -11.9. Put 3, 5, s, 12 in ascending order.
s, 3, 5, 12
Let t = 4.2 - 1.6. Let v = -691 - -696.6. Let r = v - t. Sort 5, -0.1, 4/3, r.
-0.1, 4/3, r, 5
Let l = -4 + -15. Let t = -29 - l. Let d be (-5)/2*5/(-100)*-16. Sort d, 2, t, 0.
t, d, 0, 2
Suppose 3*k = 5 + 10. Let v(m) = -642*m + 4500. Let n be v(7). Sort 3, n, k in decreasing order.
n, k, 3
Let t = 5 + 4. Suppose q - 3*g + 4 = t, -5 = -q + 5*g. Let v = -3.015 - -2.415. Sort v, q, 2 in decreasing order.
q, 2, v
Let z = -52.1 + 6.1. Let b = -334 + 333.7. Sort 2, b, z.
z, b, 2
Let h(s) = -152*s + 51. Let g be h(0). Sort 4, -2, 5, g in descending order.
g, 5, 4, -2
Let d be (-13)/(-91)*-7*(10 - 1). Put -4, 5, d, 19 in ascending order.
d, -4, 5, 19
Let s be (-8)/10*5/2 + 201. Let l = 196 - s. Let o be -3 + 3 - 1/(-4). Sort o, -1, l, -0.4 in descending order.
o, -0.4, -1, l
Let t(l) = -l**3 - 6*l**2 + 2*l + 8. Let s be t(-6). Let k be (2/6)/((-8)/768*-4). Suppose 8*z = 4*z - k. Sort s, 2, z in decreasing order.
2, z, s
Let h = -2.82 - 0.18. Let x be (-2)/(7 + 6 - -5). Sort x, 7, h in decreasing order.
7, x, h
Suppose 2*s = 5*t - 42, s - 134 + 170 = 4*t. Sort -7, -2, t, 1, 0 in descending order.
t, 1, 0, -2, -7
Let q = -28.93 - -29.05. Put 5, -6/11, 2, q in ascending order.
-6/11, q, 2, 5
Let l = 3298 + -3294. Sort 210, -3, -2, l in ascending order.
-3, -2, l, 210
Let w(n) = 4019*n - 32150. Let c be w(8). Suppose 3*a - 55 = 8. Suppose -a = -3*b + 21. Put c, -5, b in ascending order.
-5, c, b
Let s = 609 - 619. Let l be -10 - s/(-5) - -7. Sort -6, l, -8 in increasing order.
-8, -6, l
Let n = 5 + -8. Let x = 1.23 + -0.73. Let h = 19.02 + -19.32. Put x, 11, n, h in increasing order.
n, h, x, 11
Suppose 0 = b + h - 0*h - 14, 3*b - 3*h = 30. Suppose -s = 5*t, t + 32 = -2*s - t. Let g be (-3)/b + (-15)/s. Sort g, 4, -0.8 in decreasing order.
4, g, -0.8
Let g = -28 - -27.6. Let r = 13264/11 - 1206. Sort 0.5, r, -2, g in descending order.
0.5, r, g, -2
Suppose -4*x - b = -4*b + 14, 0 = 3*b - 6. Sort -4, x, 3, -9, -5 in increasing order.
-9, -5, -4, x, 3
Let x be (16/72)/(2/87)*-3. Let t = 34 + x. Suppose t*j = 5*d - 45 + 15, -5*d = 5*j + 80. Put 5, j, -1/3 in descending order.
5, -1/3, j
Let k be (-2)/72 - 2/(-8). Let b = 30985 + -30988. Sort k, b, 1/22.
b, 1/22, k
Let u = 10.4839 + -0.0039. Let k = -10.6 + u. Let p = k + 0.62. Sort 2, 2/13, p, 5 in decreasing order.
5, 2, p, 2/13
Suppose 0 = 5*c + k - 14, -2*k - 112 = -4*c - 98. Suppose 7*f = 2*f. Put c, 15, f in increasing order.
f, c, 15
Let q = -1425.8 + 1290. Let c = q - -136. Sort 5, c, -2/11, -1 in decreasing order.
5, c, -2/11, -1
Let l be 352/10 + (-60)/(-75). Let t = l + -37. Let w be ((-28)/18)/2 - t. Put w, 1/8, 0.3 in decreasing order.
0.3, w, 1/8
Let y = -1142/13 - -88. Let h = -42.4 - -38. Let x = h - -8.4. Put x, 3, y in descending order.
x, 3, y
Let p = -0.491 - -0.4587. Let b = 0.3323 + p. Sort b, -2/7, -0.228 in decreasing order.
b, -0.228, -2/7
Let a = 607 + -528. Suppose -83*q - 8 = -a*q. Suppose -4*s - 20 = 0, 3*d - 2*d + 5*s + 26 = 0. Sort q, d, 2 in descending order.
2, d, q
Let k = 6071 - 6071.4. Let a be -1 + (1 - (-4 + 1)). Sort 66, k, a in increasing order.
k, a, 66
Let r be 4 + -2 + 2*(-22)/(-4). Let n = -0.352 - -0.252. Sort r, 20, n in decreasing order.
20, r, n
Let m(i) = 6*i + 257. Let h be m(-40). Sort h, 9, 0.
0, 9, h
Let q be -2*(182/12)/(3/(-9)). Suppose 9 = 5*t - q. Suppose n - t = 5*n. Put 0, n, 4 in descending order.
4, 0, n
Let j be (-4)/(-14) - 6/7. Let o be (-11)/((-231)/(-39)) + ((-9)/12 - 231/(-84)). Sort j, o, -0.4 in increasing order.
j, -0.4, o
Suppose 5*y = -5*y + 5*y. Let l(v) = 16*v + 76. Let b be l(-5). Suppose -5 + 2 = -3*g. Sort y, g, b in ascending order.
b, y, g
Suppose -173 = 44*b - 481. Put 3, 2, b, 52 in descending order.
52, b, 3, 2
Let l = -5297/1599 + -11/533. Sort l, 3.4, 0 in increasing order.
l, 0, 3.4
Let g(x) = x**2 - 12*x + 1. Let k be g(12). Suppose -93*l - 718 + 346 = 0. Sort 4, 7, l, k in decreasing order.
7, 4, k, l
Suppose 37*f - 103*f = 90*f - 312. Put -1, 4, 386, f in ascending order.
-1, f, 4, 386
Let n be (21 - (-451)/(-22))/((-2)/(8/(-3))). Put 83, n, 1/2 in a
|
{
"pile_set_name": "DM Mathematics"
}
|
nd (67 - 609*z + 604*z - 95)*(2*z**3 - 1 + 1).
-10*z**4 - 56*z**3
Expand (0 + 0 + v**3)*(5 + 0 + 36)*(518 - 171 - 70).
11357*v**3
Expand (-3214 + 6994 + 5109)*(-2*n + 6*n - 2*n)*(-n - n + 4*n).
35556*n**2
Expand 4 - w - 4 + (2 - 2 - 2*w)*(1 + 4 - 3) + 532*w - 277*w + 22 - 287*w.
-37*w + 22
Expand (116*v**3 + 33*v**3 + 36*v**3)*(0 - 1 - 1)*(1 + v**2 - 1).
-370*v**5
Expand (10 - 10 - 17)*(-2 + 2 + 3*b + (3 - 3 + b)*(-34 + 60 - 74)).
765*b
Expand (-6*o + 4*o - 7*o)*(-2*o**3 - o**3 + 2*o**3) + (-1 + 1 - 3*o)*(227*o**3 - 143*o**3 - 135*o**3).
162*o**4
Expand (-54*k + 4964 - 4964)*(3*k**2 + 0*k**2 - k**2 + (0 + 2*k + 0)*(-2*k + k - k) + 2*k**2 - 2*k**2 - k**2 + k**2 - 2*k**2 - 2*k**2).
324*k**3
Expand (-3*f**4 + 2*f**4 - 2*f**4 + (2*f**2 - 29*f**2 - 16*f**2)*(f**2 - f**2 + f**2))*(0*f - 2*f + 3*f)*(2 + 11 - 7).
-276*f**5
Expand (-9938*x + 9938*x - 82*x**2)*(1 - x + 3 - 2) + (4 - 2*x + x + 0*x)*(3*x - 3*x + x**2).
81*x**3 - 160*x**2
Expand -3*u**3 + 4*u**3 + u**3 + (u + u - 4*u)*(0*u**2 + 0*u**2 - 2*u**2) + (-u**2 + u + 2*u**2 - 2*u)*(122*u - 23*u + 46*u) + 49*u**3 + 49*u**3 + 6*u**3.
255*u**3 - 145*u**2
Expand 3503*o - 3503*o - 10*o**4 + (-6 + 17 + 10)*(-2 + 2 + 2*o**4).
32*o**4
Expand ((-19 + 15 - 22)*(5 - 4 + 11)*(1 + 3*g**2 - 1) + (g + g + 0*g)*(0 + 0 - g))*(-3*g**2 - 8 + 8).
2814*g**4
Expand (-33*c**4 - 131*c + 132*c + 11*c**4)*(14*c - 1184 + 1184).
-308*c**5 + 14*c**2
Expand (2*b + 3*b - 3*b)*(-2 + 2 + 5) + (-12657 + 12657 - 87*b)*(0 + 1 - 2) + 3*b - 5*b + 0*b.
95*b
Expand (2 - 7 + 3)*(-2 + 2 + y**2) - y**2 - 4*y**2 + 3*y**2 + (0 + 3 - 5)*(9 - 113*y**2 - 73*y**2 + 246*y**2).
-124*y**2 - 18
Expand (-y**4 + 4 - 5*y + 5*y)*(-1066*y - 927*y + 65*y).
1928*y**5 - 7712*y
Expand (r + r + 0*r + (-r - 3 + 3)*(2 - 1 - 5))*(-11*r - 41*r - 19*r).
-426*r**2
Expand 1008 + 3*v**2 - 2*v**2 - 30*v**4 - 1000 + 2*v**3 + (10*v**3 + 0*v**3 - 5*v**3)*(-6*v + 3*v + v).
-40*v**4 + 2*v**3 + v**2 + 8
Expand -35 - 7*k**4 + 35 + (-3*k + 2*k + 0*k)*(-21899*k - 556*k**3 + 21899*k).
549*k**4
Expand (-3 + 13689*r + 15 - 12 + 2867*r)*(-r**4 + r**4 + 2*r**4).
33112*r**5
Expand -3852*y + 3360*y**3 + 3852*y + (-y**2 + 3*y**2 - 3*y**2)*(0*y - y + 3*y).
3358*y**3
Expand (0*l - l + 2*l)*(-46*l + 10*l - 12*l + (l + 1 - 1)*((5 - 1 - 2)*(1 - 1 - 3) + 3 - 1 - 1)) + 4*l - l**2 - 4*l.
-54*l**2
Expand (-4 + 4 + 2*i)*(-i**2 - i**2 + 3*i**2) - 17*i - 1268*i**3 + 18*i + 1261*i**3 - 59.
-5*i**3 + i - 59
Expand 3*f**5 + f**4 - 5*f**5 + 0*f**5 - 2*f**3 + 2*f**5 + 2*f**3 + (-f**2 - 2*f**4 + f**2)*(-f - 3*f + 3*f) + f - f**5 - f + 231*f**4 - 231*f**4 - 115*f**5.
-114*f**5 + f**4
Expand (-224*o + 708*o - 95*o)*(3*o - 7*o**2 + 0*o**2 - 5*o + 126 + 8*o**2).
389*o**3 - 778*o**2 + 49014*o
Expand 2*z**3 - 4*z + 4*z + (-2 + 2 + 2)*(-z**3 - z**3 + 0*z**3) + 2*z**3 + z**3 - 4*z**3 + 23 + 1297*z**3 - 297*z**3 - 22.
997*z**3 + 1
Expand (3*g + 3*g - 5*g)*(-75 + 110 - 66)*(85*g - 201*g**2 + 65*g - 151*g).
6231*g**3 + 31*g**2
Expand -2*u**2 + 2*u**3 + 2*u**2 + (2 - 2 - 2)*(-3*u**3 - 3*u**3 + 4*u**3) + (100*u**2 - 476*u + 476*u)*(-3*u - 4*u - 9*u)*(-2 + 5 - 5).
3206*u**3
Expand (137898 - 56*u - 137898)*(u**4 - 2 + 0*u**4 + u**4 + 2*u**2).
-112*u**5 - 112*u**3 + 112*u
Expand ((5 - 3 - 1)*(2*q - 10*q + 4*q) - 3*q + 2*q + 6*q)*(-13*q**4 + 20*q**4 + 24*q**4).
31*q**5
Expand (-10 - 21 - 1)*(3*z**3 - 2*z**3 + 0*z**3) + (-11 - 18 - 6)*(-z**3 + 2*z**3 - 3*z**3).
38*z**3
Expand (2*r - r - 4*r)*(-36*r + 84 - 47*r + 86*r) + (-r + 2*r + r)*(-2*r - 1 + 1).
-13*r**2 - 252*r
Expand (-4 - 1 + 0)*((-3 - 2 + 1)*(-5*j + 2*j + 2*j) + 2*j + 13 - 10 - 3*j) + j + 2*j - j.
-13*j - 15
Expand 2*r + 11*r**2 - r - 14*r**2 + (-5 - 1 + 4)*(-6*r**2 + 3*r**2 + 9*r**2) + (-1 + 1 + r**2)*(-2 + 0 + 4).
-13*r**2 + r
Expand ((-1 + p + 1)*(-5 + 3 + 1) - 2*p + 10*p + 6*p)*(-2*p**2 - p + p)*(-10*p + 11*p + 12*p).
-338*p**4
Expand (2*c - 2*c - 8*c**2)*(2881*c**2 - 2881*c**2 + 139*c**3).
-1112*c**5
Expand -8*g**5 - 41*g**2 + 41*g**2 + (3*g**4 - g**4 - g**4)*(0 - g + 0) - 81*g**5 - 127*g**3 + 127*g**3.
-90*g**5
Expand 0 + 2*l + 0 + (2*l + 2*l - 5*l)*(-3 - 1 + 5) - l + 0*l - l + 0*l + 3*l - l - 214*l + 94*l + 42*l.
-77*l
Expand (4*n + 0*n + n)*(3*n**2 - n**2 - n**2) + 7*n**3 - 7*n**3 - 2*n**3.
3*n**3
Expand (3*y + y - 6*y)*(2*y - 3*y + 0*y)*(382 - 1116 + 451).
-566*y**2
Expand 8*q**3 - 2*q**3 - 2*q**3 + (5*q - 4*q + 6*q)*(q**2 + 0*q**2 + q**2) + 2*q**3 - q**3 - 27*q**3.
-8*q**3
Expand 5*h**5 - 4*h**5 - 3*h**5 + (3*h**2 - 2*h**2 - 2*h**2)*(-637*h**2 + 182 + 637*h**2 - h**3 + h).
-h**5 - h**3 - 182*h**2
Expand (-21*p**3 + 33*p**3 + 20*p**3)*((3*p - 6*p + 2*p)*(-1 + 6 - 3) + 9 + 0 + 5*p - 6).
96*p**4 + 96*p**3
Expand (-2*h**2 - 2*h**2 + 2*h**2)*(2788*h + 2928*h + 173*h).
-11778*h**3
Expand 21*l + 26*l + 9*l + (2 - 1 + 0)*(1 + 2 - 1)*(-1 + 2 - 3)*(-4 - 2*l + 4).
64*l
Expand 2*o**3 - 2*o**3 + o**5 - 6653*o**5 + 4308*o**5 + 5398*o**5 + (-o**3 - 1 + 1)*(-o**2 + 3*o**2 - 4*o**2).
3056*o**5
Expand (-5 + q + 5)*(60*q - 244*q + 55*q) + q - q**2 - q + (5*q - 5*q + 2*q)*(1 + 2*q - 1) - q**2 + 2 - 2.
-127*q**2
Expand (-2 + 2 - 4)*(-3*w + 5*w + 0*w) + (-25*w - 41*w + 12*w)*(4 + 2 - 4).
-116*w
Expand -445 + 543*y + 445 - 2*y + 4 - 4 + (-2 + 5 - 4)*(-1 - y + 1).
542*y
Expand (-5 + 2 - 2)*(-13 + 2 - 20)*(-1 - 3 + 5)*(-p + 4*p + 3*p).
930*p
Expand (-5 + 0 + 3)*(-q - 1 + 1) + 952320 - 952320 + 2801*q + q - q - q + 1.
2802*q + 1
Expand (0 - 2 + 9)*(-2*h**4 + 5*h**4 - 2*h**4 - 3*h**4 + 5*h**4 + 0*h**4 + (-2*h + 6*h - 2*h)*(2*h**2 + 2*h**3 - 2*h**2)) + (-38 - 62 - 17)*(2*h**4 + 3 - 3).
-185*h**4
Expand (k**3 + 4*k**3 - 4*k**3)*(-73819*k - 79776*k + 148832*k).
-4763*k**4
Expand (8*h - 23*h + 2*h)*(11*h**4 + 12*h**4 - 22*h**4 - 2*h**2).
-13*h**5 + 26*h**3
Expand (0 - 3 + 4 - 3 - 1 + 2 + 0 - 1 + 3 + (2 - 3 - 1)*(6 - 4 - 1) + 2 - 1 + 0 + 13245 + 962 + 2941)*(1 - 1 + j**4).
17148*j**4
Expand (-176 - 478*b + 479*b - 15)*(-6 + 2 + 0).
-4*b + 764
Expand (3171*j + 13345*j - 2727*j)*(-j - j + 0*j) - j**2 + 0*j**2 + 2*j**2.
-27577*j**2
Expand (-n + 23*n - 7*n)*(269 + 401 - 941) + 2 - 2 + 2*n.
-4063*n
Expand (-447177 - 2451*w + 447177)*(w**2 - w**2 - 2*w**4).
4902*w**5
Expand ((-3*r + 3*r - 3*r)*(-2*r + 3 - 3) + 2*r**2 + 2*r**2 + 4*r**2)*(-5*r + 5*r - 20*r**2).
-280*r**4
Expand -35*h - 8 + 9*h + 32*h + (-4*h + 6*h - 6*h)*(1 + 1 - 7).
26*h - 8
Expand -y**3 + 3*y**3 + y**3 + (3*y - 3*y - 2*y**3)*(5 - 4 + 1) + 2*y**3 - y + y - 547*y**3 - 380*y**3 + 28*y**3.
-898*y**3
Expand 7839*t**2 + 7840*t**2 - 15690*t**2 - 28*t**4 + (4 - t**4 - 4)*(-1 - 2 + 2) - t**2 + t**4 + t**2.
-26*t**4 - 11*t**2
Expand (23*v - 56*v - 42*v)*(2*v + 9 + 12 - 13 - 2*v**2).
150*v**3 - 150*v**2 - 600*v
Expand (12842*s - 601*s**2 - 12842*s)*(-3*s - s**3 + 3*s).
601*s**5
Expand (-j - 2*j + 2*j)*(5 + 2*j**3 - 5) + (-216 - 352 + 9)*(0*j**3 + 2*j**4 + 0*j**3).
-1120*j**4
Expand -4 - 2*i**3 + 4 + (-4 + 3 + 2)*(-3*i**3 + 4*i**3 - 2*i**3) - 3*i**3 + 2*i**3 + 0*i**3 + 7632*i**3 - 1733*i**3 + 2512*i**3 + 17671*i**3 + 583*i**3.
26661*i**3
Expand (23 - 23 + 59*m**2)*(2*m - 2*m + 4*m**3) + 4*m**5 - 4*m**5 + 5*m**5.
241*m**5
Expand (-3 - 394*a + 0 + 421*a)*(7*a + 3*a - 12*a + 5*a - 6*a + 2*a - 3*a - a + 2*a + 0 + 0 + 2*a + (5*a + 0*a - 6*a)*(0 - 3 + 2) + 3*a - a - a).
27*a**2 - 3*a
Expand (0*x**3 + 4*x**3 - x**3)*(5*x - 5*x + 2*x + 4*x - 3*x + 0*x + (-2 + 3 + 0)*(x - x - 2*x) + 5*x - 3*x + 0*x)*(6 - 12 - 7).
-117*x**4
Expand 78*p - 74*p - 18*p + (2 - 2*p - 2)*(1 - 2 + 0)*(2 - 2 - 2).
-18*p
Expand ((3*h - h + 0*h)*(1 - 1 - 1) - 5*h + 6*h + 4*h + 5*h - 2*h - h)*(-23*h + 23*h - 33*h**2) + 2*h**3 - 2 + 2 + (1 - 1 + h**2)*(5*h - 2*h - h).
-161*h**3
Expand (-3038*u**3 - 3092*u**3 - 1210*u**3)*(-3 - 4 + 6 - 2 + 5).
-14680*u**3
Expand (4 - 1 - 2 - 9 + 529 + 56 + 5 - 3 - 1 + (1 + 3 - 3)*(-3 - 4 + 5))*(-k**5 - 2*k**3 + 2*k**3 + (0*k + 0*k - k)*(-k**2 + k**4 + k**2)).
-1152*k**5
Expand (-10*b**3 + 11*b**3 + 3*b - 2*b**3 - 12)*(-49*b**2 + 559 - 559).
49*b**5 - 147*b**3 + 588*b**2
Expand (4 + a**4 - 4)*(2754 + 2239 + 13801 + 12788 + 291).
31873*a**4
Expand 6*j**2 + 0*j**2 + 0*j**2 + (0 - 2*j + 0)*(-20 + 0 - 9)*(-2*j - j + 0*j).
-168*j**2
Expand (i - 5 - 1 + 8)*(2*i + 3*i - 2*i)*(-61 - 84 + 24).
-363*i**2 - 726*i
Expand (0*g - 6*g + 3*g)*(327 + 25 + 396)*(-3*g - g + 5*g).
-2244*g**2
Expand 9*t - 94*t**3 - 9*t + t**3 + 6*t**3 + 0*t**3 + (0*t + 2*t
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 311520?
314155
In base 13, what is a12 - -351?
1063
In base 4, what is -1013031313332 + -101?
-1013031320033
In base 12, what is -8 + 36714588?
36714580
In base 6, what is -13 - 4543254041?
-4543254054
In base 14, what is -57a - 2112?
-268c
In base 9, what is 37757 - -185?
38053
In base 13, what is -c4778 + -b8?
-c4863
In base 11, what is -3070 + 1547?
-1624
In base 12, what is -31 + -945b66?
-945b97
In base 12, what is 3 - 1485618a?
-14856187
In base 16, what is -51 + -9858c?
-985dd
In base 2, what is -111001111101000111101010 + 10?
-111001111101000111101000
In base 9, what is 58 - 233604?
-233535
In base 11, what is -1267 - -4402?
3146
In base 11, what is 1577a16 + 19?
1577a34
In base 13, what is -2c57 - -3cb?
-2859
In base 7, what is 11133 + -32545?
-21412
In base 9, what is -765522 - 1427?
-767050
In base 12, what is 1 + b166b30?
b166b31
In base 12, what is -7 - 1401b14?
-1401b1b
In base 15, what is ca - 1c1ab3?
-1c19d8
In base 5, what is 102231424243 - 10?
102231424233
In base 4, what is -10 + 1110101030101?
1110101030031
In base 10, what is 67658 + 15208?
82866
In base 15, what is -6 - -312204?
3121ed
In base 4, what is 2220130322231 + 10?
2220130322301
In base 5, what is 144021213 - -33?
144021301
In base 2, what is 101 - 100101101011111011011?
-100101101011111010110
In base 16, what is -3db4 + 174?
-3c40
In base 13, what is -5 - -377b445?
377b440
In base 13, what is -cb749 - 10?
-cb759
In base 8, what is -64 - -77737?
77653
In base 2, what is 100100111 + -111110011011100?
-111101110110101
In base 4, what is 23201 - -122231?
212032
In base 16, what is 2 - 4356f9?
-4356f7
In base 16, what is -1a + -1ae63c?
-1ae656
In base 2, what is -1000 - -11111011011110010000?
11111011011110001000
In base 6, what is 3400 + 13013054?
13020454
In base 13, what is 5 - -4b4558?
4b4560
In base 10, what is 5 - 7038962?
-7038957
In base 14, what is 29b01 + -8?
29ad7
In base 8, what is 3 - 25535577?
-25535574
In base 6, what is -100 - -214400412?
214400312
In base 12, what is -2 + -16590b82?
-16590b84
In base 6, what is -5 + -11224240?
-11224245
In base 11, what is -5 + -5950044?
-5950049
In base 8, what is 36 + -73100542?
-73100504
In base 16, what is 16a1e3 - -9?
16a1ec
In base 12, what is 989043 - 0?
989043
In base 6, what is 113354 + -203203?
-45405
In base 2, what is 101101 - -110100100000111110?
110100100001101011
In base 8, what is 107 - 1342643?
-1342534
In base 13, what is -2a3a + -240?
-2c7a
In base 4, what is -2303333 - -2211?
-2301122
In base 10, what is 930 + 77921?
78851
In base 10, what is -3205752 - 19?
-3205771
In base 10, what is 3 + 35828388?
35828391
In base 3, what is -1012002101 + 10121211?
-1001110120
In base 3, what is -22000102021121 - 1?
-22000102021122
In base 4, what is 133323 + -233002?
-33013
In base 7, what is -15 + -10343012?
-10343030
In base 5, what is -1010323143003 + 10?
-1010323142443
In base 11, what is -646 + -1860?
-23a6
In base 7, what is 5 - -125321124?
125321132
In base 5, what is -3 - 23444342002?
-23444342010
In base 5, what is -101313111 + 3?
-101313103
In base 2, what is 1101011001111101010101 - 101?
1101011001111101010000
In base 12, what is -10652aa + -7?
-10652b5
In base 9, what is -127886675 - -3?
-127886672
In base 7, what is -22502 - -6030?
-13442
In base 14, what is -1c02b342 + -3?
-1c02b345
In base 16, what is -3b37 + 50?
-3ae7
In base 3, what is -1201102212 + 102001101?
-1022101111
In base 4, what is 11212120 - 301030?
10311030
In base 6, what is 5 + 214113022?
214113031
In base 10, what is 2057873 - 5?
2057868
In base 13, what is -17a46 + c8?
-1794b
In base 15, what is 2 + b0b5cd?
b0b5d0
In base 9, what is -128 - -328613?
328474
In base 14, what is -8b69885 - -5?
-8b69880
In base 11, what is -79 - -109787?
109709
In base 8, what is -105464655 - -1?
-105464654
In base 13, what is -10b1 + 163a6?
152c5
In base 10, what is -42649 + -2152?
-44801
In base 12, what is 18250 + 3a?
1828a
In base 3, what is 2011101201 - 11021200?
2000010001
In base 11, what is -6300938 - -1?
-6300937
In base 8, what is 506 + -364243?
-363535
In base 6, what is -11040525530 - -2?
-11040525524
In base 7, what is 4 - 5145101526?
-5145101522
In base 2, what is -1010100 - 10011101011100100101000?
-10011101011100101111100
In base 15, what is -6ed57 + -6b?
-6edc3
In base 6, what is 44115141315 - 4?
44115141311
In base 11, what is 441 - 110?
331
In base 8, what is 1134376557 - -3?
1134376562
In base 11, what is -672 + 30427?
2a865
In base 7, what is -116 - 2501422?
-2501541
In base 8, what is 120 + 3471140?
3471260
In base 2, what is 10010000100101 + -1111100011?
10000001000010
In base 7, what is -660 - -221234?
220244
In base 5, what is 4 - 342140111?
-342140102
In base 4, what is 2013030023 + 1?
2013030030
In base 6, what is 13 - -21554024?
21554041
In base 2, what is -101001010111000001110000010 + -1?
-101001010111000001110000011
In base 5, what is -312111 + 430?
-311131
In base 8, what is 5 + 113631557?
113631564
In base 12, what is -23 + -440420?
-440443
In base 15, what is -407 + 2d01?
28e9
In base 3, what is 10 + 20111011221201020?
20111011221201100
In base 2, what is 100100101 + 1010100100101000001100?
1010100100101100110001
In base 10, what is 12 - 4063315?
-4063303
In base 3, what is -10020222222 - 10010021?
-10101010020
In base 2, what is 110111000010100 + 1100101000000?
1000011101010100
In base 2, what is 100110 + 100110100101110011?
100110100110011001
In base 15, what is -1 - 2348e5?
-2348e6
In base 13, what is 4117 - -a29a?
113b4
In base 13, what is -6897c - -4a?
-68932
In base 16, what is 59594 + ba?
5964e
In base 14, what is -2a3 + 33082?
32bbd
In base 16, what is -612ea76 - -a?
-612ea6c
In base 4, what is 20 - 22112101110103?
-22112101110023
In base 8, what is -1076451 - 24?
-1076475
In base 15, what is 5ca7 - -b11?
68b8
In base 10, what is -5976180 - -3?
-5976177
In base 9, what is -176 - 451024?
-451211
In base 10, what is -630780 + -4?
-630784
In base 7, what is 6 + 6516013?
6516022
In base 8, what is 10444273 - -120?
10444413
In base 16, what is 1318 + -60c?
d0c
In base 7, what is 2250524 + 40?
2250564
In base 10, what is -101 - 130317?
-130418
In base 15, what is 2 - -33b804?
33b806
In base 15, what is 3748e36 - -5?
3748e3b
In base 4, what is 302322 + -330331?
-22003
In base 7, what is 3043244 + -262?
3042652
In base 2, what is -10011 + -10011010000000101111110110?
-10011010000000110000001001
In base 5, what is 23124 + 102242?
130421
In base 4, what is -2111 - 230013312?
-230022023
In base 11, what is -a + -2159535?
-2159544
In base 3, what is 1 - 1101220112111111?
-1101220112111110
In base 14, what is 138a722 - 3?
138a71d
In base 8, what is 1214775 + -53?
1214722
In base 8, what is -166 - 66335?
-66523
In base 8, what is 3200 - -416372?
421572
In base 16, what is 174 + -268fc?
-26788
In base 7, what is -14445461364 + 5?
-14445461356
In base 3, what is -10 + 1122201200122?
1122201200112
In base 2, what is 110011000 + 1000101101000?
1001100000000
In base 6, what is -10430 - 121522?
-132352
In base 9, what is -207218 - 1056?
-208275
In base 4, what is 100130110212 + -120?
100130110032
In base 4, what is -2112332303220 - 0?
-2112332303220
In base 13, what is 2b073a - -3?
2b0740
In base 11, what is -275 + -446?
-710
In base 16, what is 4f + 717c?
71cb
In base 2, what is -100001101001100010000001010 - -10?
-100001101001100010000001000
In base 4, what is -102 + 31201201?
31201033
In base 6, what is -10040404 + 120?
-10040244
In base 2, what is -111000001010001010 - -1100?
-111000001001111110
In base 3, what is -10 + 202100012122011?
202100012122001
In base 3, what is 10202012000 - -2112?
10202021112
In base 7, what is 216621522 + 21?
216621543
In base 15, what is -7b0b - 4913?
-c51e
In base 12, what is -11126 + -12b?
-11255
In base 8, what is 5 - 117024752?
-117024745
In base 6, what is -110 - -25340022?
25335512
In base 14, what is 1bd15921 + -4?
1bd1591b
In base 15, what is 1e + -180b4?
-18095
In base 11, what is 1015594 + -54?
1015540
In base 8, what is -775767101 + -4?
-775767105
In base 15, what is -27 + -5e10e?
-5e136
In base 6, what is -545340 + 2534?
-542402
In base 6, what is 315 - -1001015?
1001334
In base 8, what is 207511135 + 1?
207511136
In base 11, what is -4 + -3920476?
-392047a
In base 6, what is 4
|
{
"pile_set_name": "DM Mathematics"
}
|
.
312
Calculate the remainder when 3943 is divided by 90.
73
What is the remainder when 3376 is divided by 395?
216
What is the remainder when 5309 is divided by 34?
5
What is the remainder when 93895 is divided by 4471?
4
Calculate the remainder when 3667 is divided by 7.
6
Calculate the remainder when 14933 is divided by 71.
23
What is the remainder when 326489 is divided by 737?
735
What is the remainder when 12830 is divided by 3?
2
What is the remainder when 13532 is divided by 91?
64
What is the remainder when 22688 is divided by 730?
58
Calculate the remainder when 425129 is divided by 106280.
9
What is the remainder when 186990 is divided by 149?
144
Calculate the remainder when 50054 is divided by 2381.
53
What is the remainder when 153995 is divided by 200?
195
Calculate the remainder when 214871 is divided by 64.
23
Calculate the remainder when 4621 is divided by 385.
1
Calculate the remainder when 51594 is divided by 51583.
11
Calculate the remainder when 8399 is divided by 6.
5
What is the remainder when 8719 is divided by 464?
367
What is the remainder when 44148 is divided by 22049?
50
What is the remainder when 1200 is divided by 73?
32
What is the remainder when 5354490 is divided by 44?
42
Calculate the remainder when 4869 is divided by 25.
19
Calculate the remainder when 7790 is divided by 898.
606
Calculate the remainder when 88775 is divided by 822.
821
What is the remainder when 165427 is divided by 880?
867
Calculate the remainder when 1959 is divided by 5.
4
What is the remainder when 1576 is divided by 312?
16
What is the remainder when 9697 is divided by 2418?
25
Calculate the remainder when 1914 is divided by 172.
22
Calculate the remainder when 405582 is divided by 239.
238
What is the remainder when 1946559 is divided by 395?
394
What is the remainder when 4771 is divided by 19?
2
What is the remainder when 69300 is divided by 1690?
10
What is the remainder when 7735 is divided by 258?
253
What is the remainder when 955 is divided by 297?
64
Calculate the remainder when 34742 is divided by 249.
131
What is the remainder when 781 is divided by 244?
49
Calculate the remainder when 4498 is divided by 4488.
10
Calculate the remainder when 6901 is divided by 2293.
22
Calculate the remainder when 19194 is divided by 243.
240
What is the remainder when 2010 is divided by 169?
151
What is the remainder when 377 is divided by 15?
2
What is the remainder when 3311 is divided by 128?
111
Calculate the remainder when 12792 is divided by 33.
21
What is the remainder when 57821 is divided by 890?
861
Calculate the remainder when 13688 is divided by 1950.
38
Calculate the remainder when 89067 is divided by 108.
75
Calculate the remainder when 21079 is divided by 155.
154
Calculate the remainder when 1444271 is divided by 141.
8
Calculate the remainder when 2480 is divided by 131.
122
Calculate the remainder when 16716 is divided by 304.
300
What is the remainder when 5813 is divided by 153?
152
Calculate the remainder when 9008 is divided by 40.
8
Calculate the remainder when 7992 is divided by 670.
622
Calculate the remainder when 44812 is divided by 477.
451
Calculate the remainder when 595021 is divided by 198331.
28
Calculate the remainder when 5771 is divided by 1906.
53
Calculate the remainder when 14184 is divided by 63.
9
Calculate the remainder when 16063 is divided by 17.
15
Calculate the remainder when 8479 is divided by 1336.
463
What is the remainder when 1053440 is divided by 59?
54
Calculate the remainder when 7589 is divided by 2527.
8
Calculate the remainder when 126487 is divided by 130.
127
What is the remainder when 430 is divided by 219?
211
Calculate the remainder when 3341 is divided by 3330.
11
Calculate the remainder when 10773 is divided by 567.
0
What is the remainder when 476383 is divided by 22?
17
Calculate the remainder when 4900 is divided by 417.
313
Calculate the remainder when 404845 is divided by 2754.
7
Calculate the remainder when 1093567 is divided by 5.
2
What is the remainder when 13511 is divided by 843?
23
What is the remainder when 6651 is divided by 890?
421
What is the remainder when 585 is divided by 211?
163
What is the remainder when 7906 is divided by 185?
136
What is the remainder when 21994 is divided by 1290?
64
What is the remainder when 820 is divided by 10?
0
What is the remainder when 6951 is divided by 176?
87
What is the remainder when 4165 is divided by 259?
21
Calculate the remainder when 6698 is divided by 10.
8
Calculate the remainder when 5589 is divided by 2792.
5
Calculate the remainder when 18914 is divided by 396.
302
Calculate the remainder when 291721 is divided by 87.
10
What is the remainder when 43322 is divided by 522?
518
What is the remainder when 26448 is divided by 8809?
21
What is the remainder when 779282 is divided by 21?
14
What is the remainder when 13577 is divided by 678?
17
What is the remainder when 15694 is divided by 314?
308
Calculate the remainder when 2820 is divided by 31.
30
What is the remainder when 119646 is divided by 4784?
46
What is the remainder when 6200 is divided by 1206?
170
What is the remainder when 4012 is divided by 201?
193
What is the remainder when 43682 is divided by 44?
34
Calculate the remainder when 34169 is divided by 52.
5
Calculate the remainder when 1304 is divided by 32.
24
Calculate the remainder when 51838 is divided by 43.
23
What is the remainder when 64311 is divided by 81?
78
What is the remainder when 28147 is divided by 45?
22
Calculate the remainder when 477369 is divided by 159121.
6
What is the remainder when 165035 is divided by 203?
199
Calculate the remainder when 694 is divided by 324.
46
What is the remainder when 2661 is divided by 871?
48
Calculate the remainder when 127696 is divided by 63.
58
What is the remainder when 2355 is divided by 131?
128
What is the remainder when 12924 is divided by 994?
2
Calculate the remainder when 2021 is divided by 552.
365
What is the remainder when 18904 is divided by 16?
8
Calculate the remainder when 2073862 is divided by 663.
661
What is the remainder when 2856 is divided by 130?
126
Calculate the remainder when 891 is divided by 153.
126
Calculate the remainder when 9579 is divided by 441.
318
What is the remainder when 2991 is divided by 427?
2
Calculate the remainder when 8912 is divided by 207.
11
Calculate the remainder when 17695 is divided by 169.
119
Calculate the remainder when 8298 is divided by 62.
52
What is the remainder when 190394 is divided by 63451?
41
Calculate the remainder when 2324 is divided by 139.
100
What is the remainder when 370280 is divided by 977?
974
Calculate the remainder when 40268 is divided by 2684.
8
What is the remainder when 847 is divided by 122?
115
What is the remainder when 894425 is divided by 80?
25
Calculate the remainder when 22244 is divided by 2221.
34
What is the remainder when 452367 is divided by 2661?
2658
What is the remainder when 1662 is divided by 1562?
100
Calculate the remainder when 16146 is divided by 143.
130
Calculate the remainder when 833952 is divided by 537.
528
What is the remainder when 3209 is divided by 201?
194
Calculate the remainder when 9844 is divided by 70.
44
What is the remainder when 5421 is divided by 260?
221
What is the remainder when 3823 is divided by 1177?
292
What is the remainder when 14777 is divided by 18?
17
Calculate the remainder when 1877 is divided by 629.
619
Calculate the remainder when 2175 is divided by 261.
87
What is the remainder when 19515 is divided by 61?
56
Calculate the remainder when 282954 is divided by 3723.
6
Calculate the remainder when 3558140 is divided by 1808.
1804
What is the remainder when 50771 is divided by 12?
11
What is the remainder when 1182 is divided by 1040?
142
What is the remainder when 99503 is divided by 36?
35
Calculate the remainder when 218104 is divided by 241.
240
What is the remainder when 3908 is divided by 557?
9
What is the remainder when 184 is divided by 85?
14
What is the remainder when 3122 is divided by 44?
42
What is the remainder when 82436 is divided by 25?
11
What is the remainder when 13368 is divided by 29?
28
What is the remainder when 59540 is divided by 223?
222
Calculate the remainder when 23011 is
|
{
"pile_set_name": "DM Mathematics"
}
|
605610502
Sum -1901.3357516 and 791.
-1110.3357516
What is -85975087 minus -50381?
-85924706
What is 6422655 plus -337301?
6085354
What is the difference between 265 and 2.5337838397?
262.4662161603
-0.0015467168+190
189.9984532832
Calculate -0.1 + -1.651545128.
-1.751545128
What is -695652 - 83164335?
-83859987
What is -210942 take away 1431970?
-1642912
Add together 759002974685 and 58.
759002974743
Sum -0.1307852 and 2091571.
2091570.8692148
-31102+22619.81
-8482.19
1441505120.8+-4083.8
1441501037
Put together 0.04388 and 51.6339.
51.67778
What is -752140924.15394 + 0?
-752140924.15394
What is -0.0715805 minus -496191231?
496191230.9284195
Calculate -26.9 + -2.98402743.
-29.88402743
Add -344223031 and -4.18.
-344223035.18
Calculate -7003701121 - -112507.
-7003588614
29146860005 + 736.8
29146860741.8
Calculate 0.091759 + -2634616205.
-2634616204.908241
-10406121181 + 2.815
-10406121178.185
Add together 5560363420 and 2.0252.
5560363422.0252
Add 53.3 and -289396162.
-289396108.7
What is the distance between 3440900.32 and -14513?
3455413.32
What is 30 minus -2163.6749137?
2193.6749137
Work out -103542449 + 1.48083.
-103542447.51917
What is -1.18525414646 less than 1?
2.18525414646
Add 0.130984298399 and -7.7.
-7.569015701601
What is 36 less than 222603906317?
222603906281
Subtract 1305446940.5 from 0.038.
-1305446940.462
What is the distance between -392 and 1709972280?
1709972672
What is the distance between 110 and 45.0017781727?
64.9982218273
1203.39657 + -910964
-909760.60343
What is 215976 take away 15050950?
-14834974
Work out 3012189 - -247283.
3259472
Add -1479936 and -11516.7943.
-1491452.7943
25692808.8 - 249
25692559.8
Total of 4 and -315000.05288.
-314996.05288
Put together -1 and 26927522893.2.
26927522892.2
What is the distance between -23514.69938 and -1909?
21605.69938
Work out 116346332 - -1.254.
116346333.254
Subtract 5138811293002 from 0.043.
-5138811293001.957
Work out -0.17242425885 - -72.6.
72.42757574115
What is 3.07 plus -186818595392?
-186818595388.93
What is 0.11 - 10671197773?
-10671197772.89
What is -182.63304544 plus 27?
-155.63304544
-13.8+1619473.846
1619460.046
-57086303+-0.8083
-57086303.8083
Sum -4406.1 and -2894.603948.
-7300.703948
Add -6 and -9.5722150918016.
-15.5722150918016
Work out -3274108644 - 10.
-3274108654
What is the difference between -31576 and 1.17732237?
31577.17732237
Work out -1453642.7105 - 248.
-1453890.7105
Total of -0.2077 and -0.099020183115.
-0.306720183115
Add -35986509741.5 and -2.
-35986509743.5
Total of -549719914 and -239.
-549720153
-401004 - -205700.9
-195303.1
Calculate -8163 + 147204023.2.
147195860.2
Add 427738044 and 311749.
428049793
12359.09799 - -5288
17647.09799
What is -4778938 minus -28.4177487?
-4778909.5822513
Total of -182894 and -22392878.
-22575772
What is 63 minus 1847790.67771?
-1847727.67771
-4449108.1196 - 51
-4449159.1196
Total of -877.7551009 and 0.056.
-877.6991009
Total of 8263.66 and -317.748.
7945.912
Calculate 13 - 1154.8225883.
-1141.8225883
What is 2 minus -119685350584731?
119685350584733
What is the distance between 0.2 and 501298373293?
501298373292.8
Calculate -83 - 61673286.
-61673369
Calculate 0.06 + -2842418951458.
-2842418951457.94
Add together 211.3 and -0.5685564718.
210.7314435282
What is the difference between -2829.23854702 and -0.126?
2829.11254702
What is the difference between -3 and -14331889265192?
14331889265189
What is -13307.665914341 take away 3?
-13310.665914341
What is -8778092824 + -0.6?
-8778092824.6
0.5+-19779455.169
-19779454.669
-37772973552 - -6317
-37772967235
Subtract -10363735522 from 4791.
10363740313
What is 9075.94 plus -118373?
-109297.06
Put together 13.762732668 and -0.07.
13.692732668
-538916+408815726
408276810
Add together -1148 and 610926910250.
610926909102
What is 3430 - -3008290?
3011720
Add together -40.69639 and -22106.7.
-22147.39639
Sum -7749941.56234 and -0.3.
-7749941.86234
-1002200806+0.0056
-1002200805.9944
Work out -0.5 - 1616739.8405792.
-1616740.3405792
What is -1606482.6 less than 78926.7?
1685409.3
Work out -3 + 6373.14218893.
6370.14218893
Work out -2.2526388248 - 2.7.
-4.9526388248
Add -339.39758 and 831.155.
491.75742
What is -4514 + 8.510296261?
-4505.489703739
Work out -0.0716429 - 0.006357698.
-0.078000598
Work out 0.30629 + 9927706123.
9927706123.30629
Work out -0.5596 + 2155.5793.
2155.0197
Calculate 0.5 + -21.27618708277.
-20.77618708277
What is the distance between -16628517 and 4.0534?
16628521.0534
Put together -11204426110 and 19895.
-11204406215
What is the distance between 12932177 and 320?
12931857
Add -197380.2478 and -144116.
-341496.2478
Add 0.13 and -27209785846.
-27209785845.87
Sum 64313.02 and 217835.
282148.02
-1244 - 2310234.424
-2311478.424
-16723405759 + -8
-16723405767
Work out 0.1 + -115791.494362028.
-115791.394362028
Add -185123995089120 and -1.
-185123995089121
What is the distance between -2 and -837779006861?
837779006859
Subtract 9800 from 12118317557.
12118307757
What is -0.03 plus -4917591632021?
-4917591632021.03
5.084227775039 + 0.06
5.144227775039
What is 86391897164844 plus -0.2?
86391897164843.8
What is -1057998 minus -530.257?
-1057467.743
What is 1.93 less than -2123485345?
-2123485346.93
Sum 485622.404 and -0.37698.
485622.02702
Work out -56382 - 3000246716.
-3000303098
What is the difference between 63963 and -50562178?
50626141
What is the difference between 492243.56589 and -9?
492252.56589
What is -4424974 minus 4.2059?
-4424978.2059
What is -0.07 less than -2742943246?
-2742943245.93
Sum 0.07 and 30600368.82838.
30600368.89838
Add together 37371 and 8786702936.
8786740307
Calculate -3522.24 - 12359693.
-12363215.24
Calculate -3008955549 - -0.78.
-3008955548.22
Sum -0.09247 and 1541452752.
1541452751.90753
What is -0.2135 - 1064.5309392?
-1064.7444392
What is 156435 - 14804827?
-14648392
Total of 269.5 and -0.20238765.
269.29761235
Put together -10958411.18 and -216.3.
-10958627.48
What is 1877949.84 plus 1205668?
3083617.84
Subtract 18126.65652762 from -2.
-18128.65652762
What is -3130.3 take away 5707850643?
-5707853773.3
-1.6504038 - -0.1508113
-1.4995925
What is -102 plus -0.15019922?
-102.15019922
What is -0.67955 + -405635420?
-405635420.67955
Calculate 163592 - 196288936.
-196125344
Calculate -71863 + -1.686516339.
-71864.686516339
Calculate -2.423 - -6845906702.
6845906699.577
What is -1.22 less than -1609399544?
-1609399542.78
Total of -0.05 and 29623.873546.
29623.823546
What is -5 minus 171115938680?
-171115938685
What is -337.23869604 + 13.9?
-323.33869604
What is 56288968 plus -4.7073?
56288963.2927
Subtract -267746.03977 from 13.8.
267759.83977
Total of 38435827.3 and -0.06014.
38435827.23986
Sum 0.226 and 409419752350.
409419752350.226
Work out 434938290 - -225059.
435163349
Total of 337852 and 1819331965.
1819669817
What is the difference between 0.015 and 2941.327498?
2941.312498
2.749+2558693.558
2558696.307
What is -0.8029 minus 62.820834025?
-63.623734025
What is -2052.234 minus 4683.75?
-6735.984
What is 433099893362 take away -1888?
433099895250
4856 + 11470978939
11470983795
What is -1.197 + 30.62743?
29.43043
Work out 21.672197344 + 10.08.
31.752197344
Sum 159.160278 and -0.841.
158.319278
Subtract 23379539484 from 1.
-23379539483
Sum 389 and 2315.8650768.
2704.8650768
Calculate 0.3 + 10304380769820.
10304380769820.3
Sum 74591 and 2111363331.
2111437922
Add together -19395903856 and 2.
-19395903854
Subtract -1.15 from -2386.40977.
-2385.25977
What is the distance between 0.0332077 and -603826?
603826.0332077
What is 0.60220798222 - -17566?
17566.60220798222
-10423.8984+-1775
-12198.8984
Add together 281559499 and 12516.82.
281572015.82
Put together -5 and -1539301595009.
-1539301595014
What is 166 + 55737634710?
55737634876
Add 43 and 207897.70009.
207940.70009
Work out -240022245 - 726.8.
-240022971.8
260.795482422 + -1.3
259.495482422
Calculate -7427 - -19.89979333.
-7407.10020667
Sum -0.6 and 1139645474847.
1139645474846.4
Work out -1644823 + -435958.
-2080781
Sum -4665 and 12.2453847.
-4652.7546153
What is -5283.4 plus -146792820?
-146798103.4
What is -13954 plus -127307572?
-127321526
Calculate -9083191 - -12.27.
-9083178.73
Add -14.01546 and 140587.85.
140573.83454
Subtract 3229.47 from -409.69756.
-3639.16756
|
{
"pile_set_name": "DM Mathematics"
}
|
0.1 (b) 38 (c) -1.5 (d) -28 (e) 2/3 (f) -0.4 (g) -2/11
d
What is the second smallest value in -5, -0.794, 1, 1/6, -2/9, 0.8?
-0.794
What is the biggest value in 24/31, 0.02, -27, 3/4?
24/31
Which is the smallest value? (a) 0 (b) 134 (c) 0.2 (d) -1/6 (e) -20627 (f) 2 (g) 4/3
e
What is the third smallest value in 1, 2/9, -0.5, 5, -1825, -2, -26?
-2
What is the second smallest value in -590/61, -4, 137?
-4
Which is the fourth smallest value? (a) 0.046 (b) -2/7 (c) -28 (d) 1.5
d
What is the fourth biggest value in 2754, 2/13, -3, 235?
-3
What is the smallest value in 49146, -31, 0.02?
-31
Which is the fifth biggest value? (a) -5 (b) -850 (c) 0.4 (d) -45/13 (e) -0.4
b
What is the second smallest value in 0, -3/7, 0.06, 3.928273?
0
What is the smallest value in 2/7, -0.029, 315, -0.1?
-0.1
What is the second biggest value in -127078.2, 0.1, -2?
-2
What is the biggest value in 194.9, -0.4, 3, 3/4, 2, 33/4?
194.9
Which is the fourth smallest value? (a) 8 (b) -1 (c) -29 (d) 1/3 (e) 4 (f) -0.17
d
Which is the biggest value? (a) -62 (b) 0.5 (c) -2/75 (d) -0.22 (e) -16
b
What is the smallest value in -120, -0.2, -860.86, -2/5?
-860.86
What is the fourth smallest value in -11.9, 2691, 3/2, 18?
2691
Which is the biggest value? (a) 4 (b) -0.3 (c) 338 (d) -24 (e) -0.061 (f) -2 (g) 0.5
c
What is the fourth smallest value in 220, -3/7, -26, -24?
220
Which is the fourth smallest value? (a) -4 (b) -7 (c) -2/15 (d) -2/17 (e) -18/7 (f) 4
c
What is the third biggest value in 0.027, -2.5667, -5?
-5
What is the fifth smallest value in -2/215, 4, -4, -0.2, 15.6, -0.4?
4
Which is the fifth biggest value? (a) -5 (b) 2 (c) 0.06 (d) -17/8 (e) -2 (f) 5463
d
What is the second smallest value in 250/51, -4833, 2?
2
What is the second smallest value in 7, 0.3741, -910?
0.3741
Which is the sixth smallest value? (a) -1932 (b) -11 (c) 0.2 (d) 1/2 (e) -3 (f) 0
d
Which is the fourth smallest value? (a) 1896257/6 (b) 5/7 (c) 5 (d) -5
a
Which is the third smallest value? (a) 0.0381224 (b) 1/3 (c) -9
b
Which is the third smallest value? (a) -3 (b) -42 (c) 0 (d) 4/3 (e) -0.6 (f) 199
e
Which is the second smallest value? (a) -0.211 (b) -6.2 (c) -36
b
What is the third smallest value in 1/2, -0.2, 141605, -0.1, -21?
-0.1
What is the fourth biggest value in -0.2, -2.2, -0.103, -2/1027?
-2.2
What is the fourth smallest value in 0.8, 67, 1160, 4/7?
1160
What is the fourth smallest value in 908/23, -10, -3/2, -175?
908/23
Which is the third biggest value? (a) -0.008 (b) -6 (c) 186 (d) 23
a
Which is the third biggest value? (a) 48 (b) 123 (c) 1/2 (d) -323
c
Which is the biggest value? (a) -163 (b) -276462 (c) -3/2
c
Which is the fourth biggest value? (a) 3 (b) -0.03 (c) 0.3 (d) -0.2 (e) 47/5 (f) 13 (g) 2/55
c
What is the third smallest value in 2/3, 0.0562, 0.4, 3, -6?
0.4
Which is the fourth smallest value? (a) 132 (b) -2520 (c) -4 (d) 0
a
Which is the third smallest value? (a) -49 (b) -4 (c) 1/5 (d) -123 (e) -92
a
What is the second biggest value in -1, -0.1, 1.512314?
-0.1
What is the smallest value in 5, 0, 16245.79?
0
Which is the fifth smallest value? (a) -3/4 (b) 0.3 (c) -2 (d) -25/23 (e) 2 (f) -0.5
b
What is the third smallest value in 0.3, 0.17, 0.45, 3, 5, 9?
0.45
What is the third smallest value in -5, -3, -0.1, 1, 1/5, -3/4, 21/4?
-3/4
What is the second biggest value in 1, 0.0566, -2/9, -104/623?
0.0566
Which is the fourth smallest value? (a) 0.2 (b) 2534 (c) -38 (d) -0.15 (e) -0.2
a
Which is the smallest value? (a) -44/27 (b) -3 (c) 19895
b
Which is the biggest value? (a) 0.08 (b) -2 (c) -2/15 (d) 0
a
Which is the third smallest value? (a) 3 (b) 1574591.9 (c) 4
b
Which is the biggest value? (a) -1/7 (b) 249260 (c) -0.05
b
Which is the second biggest value? (a) -1/15 (b) -16/19675 (c) 3
b
Which is the sixth biggest value? (a) 72 (b) -0.1 (c) -4 (d) -0.6 (e) 0.2 (f) -1 (g) 1/14
f
Which is the biggest value? (a) 2/7 (b) 8 (c) 624 (d) 23
c
What is the fourth biggest value in 0.4077, -14, 2/7, 5/4, 1?
2/7
What is the fifth biggest value in 5, -1/8, 4/7, 1/4, 5495?
-1/8
Which is the smallest value? (a) -409 (b) 4 (c) -2 (d) 0.12 (e) 2 (f) 15 (g) 2/17
a
Which is the smallest value? (a) 0.24 (b) -2 (c) 113 (d) 4 (e) -23 (f) 0 (g) 2
e
Which is the second biggest value? (a) -0.4 (b) -4 (c) 22 (d) 101 (e) -12
c
Which is the biggest value? (a) -1 (b) 18 (c) -6257 (d) 2/5 (e) 1.1
b
Which is the second biggest value? (a) -6 (b) 1/215 (c) 60.553
b
Which is the third smallest value? (a) -64410230 (b) -4/9 (c) 0.5
c
What is the biggest value in 1/23949, 1/7, 3, -5/2, -39?
3
Which is the biggest value? (a) 72 (b) -6 (c) -115245
a
What is the biggest value in 1/2, 2, -0.2, -1, 0.41, -2360?
2
Which is the third biggest value? (a) 15 (b) -1/13 (c) 6 (d) 0 (e) -10 (f) 2344
c
Which is the fifth smallest value? (a) -5 (b) 5 (c) -113 (d) -4/7 (e) -1.49 (f) -0.7
d
Which is the fourth biggest value? (a) 36 (b) -5/2 (c) -1/5 (d) -6 (e) 0.4 (f) 2 (g) 84
e
Which is the third smallest value? (a) -1 (b) -19/3 (c) -6 (d) -2/79
a
Which is the second smallest value? (a) 2 (b) -3 (c) -1 (d) -1/6 (e) 4 (f) 1.20393 (g) -3/7
c
Which is the second biggest value? (a) 0.1 (b) -0.4 (c) -2 (d) 2558 (e) 0.3 (f) 2/23 (g) 73
g
What is the sixth biggest value in -479, -0.3, 1, 5, -108, 2, 1/2?
-108
What is the second smallest value in 1995.32, 3, 2?
3
Which is the fifth biggest value? (a) -0.2 (b) -145 (c) -1.37 (d) -1/12 (e) 3/2
b
Which is the second smallest value? (a) -5 (b) 1/2 (c) -105 (d) 8 (e) -568 (f) 1
c
Which is the fifth biggest value? (a) -0.2 (b) 9 (c) 95 (d) 0.3 (e) -0.3 (f) 103 (g) 3
d
Which is the biggest value? (a) -0.129 (b) -0.04 (c) -0.07 (d) -301
b
What is the third smallest value in 3, 16, 455, -0.0547?
16
What is the second biggest value in -2/43, -0.3, 10, -0.1?
-2/43
Which is the sixth smallest value? (a) -0.4 (b) 4.8 (c) -0.2 (d) -1/3 (e) -214 (f) 25
f
Which is the third biggest value? (a) 13091/8 (b) 1.5 (c) 0.5
c
Which is the biggest value? (a) 3.869 (b) -9.74 (c) -3 (d) -1/4 (e) 4 (f) -0.2 (g) -1/2
e
Which is the second smallest value? (a) -1180 (b) -2 (c) -5 (d) 0.2 (e) 19
c
Which is the third biggest value? (a) 45.8 (b) -11 (c) -0.5 (d) 0.14 (e) -4 (f) 0.062
f
What is the second biggest value in 289, -238.6, -0.54?
-0.54
Which is the sixth smallest value? (a) -0.3 (b) 127 (c) 0.329 (d) 6 (e) -8 (f) 3/8
b
Which is the second smallest value? (a) -7 (b) -2462205 (c) -8
c
Which is the fifth smallest value? (a) -2 (b) -20 (c) 1375 (d) -12 (e) -2/27
c
What is the smallest value in -1/5, -9471, 1?
-9471
Which is the sixth biggest value? (a) 1/2 (b) 7707 (c) -0.3 (d) -11 (e) 4/15 (f) -19
f
Which is the second biggest value? (a) -0.2 (b) 4 (c) 3 (d) -80 (e) -0.3 (f) 406
b
What is the fifth smallest value in 2/7, -0.024, 3.7, 3, -86, -5, 0.4?
0.4
Which is the second biggest value? (a) -142 (b) 116.1594 (c) -0.3
c
What is the fourth smallest value in 1/5, 250, -158, 1/58?
250
Which is the second smallest value? (a) 4 (b) 0.04 (c) -0.2 (d) 5 (e) -1/3 (f) -8661
e
Which is the second smallest value? (a) -0.0082 (b) 8 (c) 1058 (d) -5
a
Which is the fourth smallest value? (a) -5/3 (b) 4 (c) 5/6 (d) -2.89 (e) -923 (f) -4
a
What is the seventh smallest value in -0.07, 33, -3, -5, -4/7, 3, -8?
33
What is the second smallest value in 10, -1/8, -0.1, 0.3, 613, 1/2?
-0.1
Which is the third smallest value? (a) 1 (b) -2/9 (c) 5 (d) -17 (e) -0.14 (f) -0.1 (g) -0.0188
e
Which is the fourth biggest value? (a) 0.5 (b) 0 (c) 0.04 (d) 8146 (e) 6 (f) -2/3 (g) -3
c
Which is the third biggest value? (a) 12/5 (b) 12 (c) 42 (d) -1 (e) -0.3 (f) 2/9 (g) 4/7
a
What is the seventh biggest value in 0.5, -1/12, -3/11, 0.04, 11, 0, 0.3?
-3/11
Which is the third smallest value? (a) -2 (b) -0.325 (c) 1/3 (d) 0.6499
c
Which is the third biggest value? (a) -1 (b) 9 (c) -2737 (d) 1 (e) 0.2 (f) 2
d
What is the fifth smallest value in -0.3, 0.4, -0.1, -2/3, 2/244217?
0.4
What is the smallest value in -27, -46,
|
{
"pile_set_name": "DM Mathematics"
}
|
-b = 3*b - 20. Suppose 2*c - 42 = 5*r, 4*r + 2*c + 28 = b*c. Is (-4)/r + (-15213)/(-55) prime?
True
Let w(d) = 388*d**3 - d**2 + 3*d + 3. Is w(2) prime?
True
Let i(o) = o - 1. Let c(l) = -2*l**2 - 14*l + 7. Let h(r) = -c(r) - 6*i(r). Let w = -862 + 852. Is h(w) a prime number?
False
Suppose -11*x + 42 = -8*x. Suppose 2*j = -2*z + x, -3*z + j + 3 = 2. Suppose -z*s - 84 = -362. Is s composite?
False
Let d(x) = 14 + 81*x - 135*x - 145*x - 31*x. Is d(-4) prime?
False
Suppose -2*i + 97 = -1257. Is i a composite number?
False
Suppose 22*z + 149 = 23*z. Is z a composite number?
False
Suppose -b + 2*v = -2*b - 1, 0 = -3*b + 4*v + 7. Is (-690 - -1)*(-2 + b) composite?
True
Suppose -b + 6 = 3*i - 15, -i + 128 = 4*b. Let v be 5192/b*(-3)/(-2). Suppose 0 = -4*j + 976 - v. Is j prime?
False
Suppose 5*w + 8*b = 3*b + 3180, -5*b + 1918 = 3*w. Is w composite?
False
Suppose 2*h = 4*h - 10. Suppose 0*v - h*v + 40 = 0. Let q = 11 + v. Is q prime?
True
Suppose 0 = 2*f + f - 1164. Suppose v + 0*v - 5*s - 97 = 0, -4*v + f = 3*s. Suppose u = 4*w + v, -u - 2*w + 28 + 57 = 0. Is u composite?
False
Let n(r) = -6*r**2 + 8*r + 7 + r**2 - r**3 + 5*r - 3*r**2. Is n(-10) prime?
False
Let y(a) = a**3 - 10*a**2 - 11*a + 0*a**3 - 7 + 10*a + 39. Is y(10) composite?
True
Let k = 12780 + 23323. Is k prime?
False
Let r(f) = -f**3 + 10*f**2 - 11*f + 1. Let y be r(8). Let k(d) = -y*d + 6 + 2*d + 0*d. Is k(-5) composite?
True
Let q(i) = 6*i**2 - 13*i + 36. Let j be q(16). Let d = -522 + j. Is d a prime number?
False
Let n(i) = -246*i + 4. Let b be n(-3). Let q = -431 + b. Is q a prime number?
True
Suppose 5*r = w + 183803, 0 = 2*r - 0*r + 2*w - 73526. Is r a composite number?
False
Let g be (8/(-14))/((-4)/14) + 3. Suppose g*f - 889 = -2*f. Is f a composite number?
False
Let f = 11 - 9. Let j(d) = 49*d**3 + 2*d**2 - 5*d + 5. Is j(f) composite?
True
Let z(n) = 5*n**2 + 4*n - 1. Let i be z(-4). Let u = 18 - i. Is 6/u + 94/30 a prime number?
True
Suppose -w + 5 = -5*u, -w + 2 = -3. Is u - (4/(-12) - 7352/12) a prime number?
True
Is 1/((-2 - -1)/(5 + -38356)) prime?
True
Let s = 7391 + -3484. Is s a composite number?
False
Let s = 4425 - 776. Is s composite?
True
Let p be 1 - 1715 - (5 - (6 + 1)). Let y = p + 6273. Is y a prime number?
True
Let l(m) = 691*m**2 + 25*m - 99. Is l(4) prime?
True
Suppose 0 = j - 3335 - 336. Is j composite?
False
Suppose 5*l + u - 21702 - 21552 = 0, -l + 8655 = -4*u. Is l composite?
True
Suppose p = -4, 0 = -0*z - 2*z - 4*p - 8. Suppose -x = z*x - 165. Is x a composite number?
True
Let t(h) = 6095*h**2 + 14. Is t(-3) prime?
True
Let p(z) = 596*z + 11. Let t(k) = -2*k**3 - 9*k**2 + 3*k - 7. Let y be t(-5). Is p(y) a composite number?
True
Suppose 5*k + 53 = 33. Let d(z) = -5*z**3 - 5*z**2 - 3*z - 1. Is d(k) composite?
False
Let o(w) be the third derivative of -w**5/15 + w**4/6 - w**3/6 - 4*w**2. Let l be o(6). Is l*3/(1 + -4) prime?
False
Suppose -a - 3*x = -3, 5*x - 63 = 4*a + 2*x. Let v(b) = 4*b**2 + 13*b - 1. Let s(j) = 6*j**2 + 20*j - 2. Let d(o) = 5*s(o) - 7*v(o). Is d(a) a prime number?
False
Suppose -6*z = -0*z - 14778. Is z a prime number?
False
Let x(r) = -5*r**2 - 8 + 6*r**2 + 3*r**2 - 2*r - r**3. Let t be x(-6). Suppose 2*h = 6*h - t. Is h composite?
True
Let k(m) = -m**3 - 2*m**2 - m - 4. Let q be k(-3). Suppose 479 = -q*t + 7911. Is t composite?
False
Let o = -2276 - -4225. Is o a composite number?
False
Let w be 4/6 - 116272/(-39). Is (-8)/40 - w/(-10) a prime number?
False
Suppose 116*f = 127*f - 50083. Is f a prime number?
False
Let w be 1/(0 - 1)*(-4917 - -1). Suppose 10*b - 13*b - 5*s + w = 0, 0 = 5*b - s - 8184. Is b a composite number?
False
Suppose 2*y - 13088 = -g - 1796, 5*g - y - 56416 = 0. Suppose -5*n + 0*a - a + g = 0, n = -3*a + 2254. Is n composite?
True
Suppose 0 = 4*h - 19 + 3. Suppose -8675 = -5*n - p + 995, -h*n = p - 7736. Is n a composite number?
True
Is (-2)/(-12) - 560845/(-30) a prime number?
False
Suppose 0 = 2*c, -5953 + 1587 = -2*t + 3*c. Is t a prime number?
False
Let g(r) = -r + 1. Let b(f) = -150*f + 41. Let t(x) = b(x) - 6*g(x). Is t(-8) a composite number?
False
Suppose 0 = 7*a - 6*a - 492. Suppose -9*o = -7*o - a. Suppose -x + 1033 = o. Is x composite?
False
Let p = 6978 + 4571. Is p a prime number?
True
Suppose -5*g + 962 = -2*g - 5*x, 5*g + x = 1566. Is g composite?
True
Let u be (5/(-5))/((-1)/(-6)). Let l(b) be the third derivative of b**5/12 + b**4/6 + b**3/6 - 12*b**2. Is l(u) prime?
True
Suppose 0 = h - 10*h + 34389. Is h a prime number?
True
Suppose -a - 2 = 2. Let k(o) = 22*o. Let t(r) = 44*r - 1. Let q(p) = 5*k(p) - 3*t(p). Is q(a) composite?
True
Suppose s = 3*s - 960. Suppose 535 + s = 5*f. Is f composite?
True
Suppose 4*q + b - 6072 = 0, -2*q + 2729 = -3*b - 293. Is q composite?
True
Let t(c) = 4286*c - 1031. Is t(12) prime?
False
Suppose -59 - 29 = 11*z. Let t(x) = -x**3 - 4*x - 3. Is t(z) prime?
True
Let d be 1*(-3)/((-9)/3009). Suppose -5*j - 25 = 0, 2*y + 5*j - 1489 = 1378. Let o = y - d. Is o prime?
True
Let f = -44 + 211. Is f composite?
False
Let h(d) = -2*d**3 - 8*d**2 - 2*d + 5. Let a be h(-9). Suppose 3*c - a + 164 = 0. Is c prime?
True
Let o(w) = -w**3 + w + 1717. Let d = -30 - -30. Is o(d) a prime number?
False
Let l(k) = 105*k + 9 + 328*k - 66*k. Is l(4) a prime number?
False
Suppose -42*x + 4537 = -8357. Is x a composite number?
False
Let c(b) = -2*b + 44. Let l be c(19). Is (1467/(-6)*(-28)/l)/1 a composite number?
True
Let r(h) = 59*h. Let w be r(1). Let a = w - 39. Suppose f - 17 = a. Is f a prime number?
True
Suppose 5*s = 2*n + 2, 3*n - 3*s = -13 + 19. Suppose -3*x - 7 = -4. Is (32 - x)*4/n composite?
True
Let y be ((-4)/((-8)/866))/1. Let z = -2 + y. Suppose -d + 2*f + 407 = 0, 0 = d + 3*f + f - z. Is d a prime number?
False
Let h(s) = 132*s - 39. Is h(16) a composite number?
True
Let t be 14/35 + (-124)/10. Let c = t - -16. Is (0 - 3) + c - -54 composite?
True
Let n(l) = -l - 1. Let h be n(-1). Suppose 0*c - 3 = c, h = -2*u - 3*c - 11. Is 23/(u*(-1)/11) a prime number?
False
Let w(z) = 31*z**2 + 19*z + 293. Is w(-12) a composite number?
True
Let r(d) = 6*d + 14. Let z(x) = 11*x + 28. Let q(s) = 7*r(s) - 3*z(s). Let v(c) = c + 7. Let t be v(6). Is q(t) a prime number?
True
Let q = 104 + 126. Suppose -f = -q - 161. Is f prime?
False
Let s(g) = g**2 + 17*g**2 + g**2 + 9 - 5*g. Is s(4) composite?
False
Let x(u) = -14*u - 13. Suppose 16 = 4*a, -a = -o + 8 - 22. Is x(o) a prime number?
True
Let x be 2/6 + 42/9. Suppose 3*h + 2*a = 7297, -x*h = -3*h - 4*a - 4838. Is h composite?
True
Let t(c) = -c**3 - 7*c**2 + 7*c - 38. Is t(-15) a composite number?
False
Let d(b) = b**3 - 5*b**2 - 31*b + 13. Is d(16) prime?
True
Let r = 29 + -43. Let b = r - -14. Suppose b*g + 4*h = -5*g + 727, 0 = 4*g - h - 569. Is g prime?
False
Let h(g) = 4*g**3 + 5*g**2 + g - 10. Let j(v) = 8*v**3 + 9*v**2 + v - 19. Let p(d) = 5*h(d) - 3*j(d). Let y be p(-3). Suppose y = 5*s - 4. Is s a prime number?
True
Suppose -4*x - 3920 = -4*y, -x + 1878 + 79 = 2*y. Let t = -659 + y. Suppose 5*b - 3*v - 2*v = t, 2 = 2*v. Is b composite?
True
Let i = -1550 - -6981. Is i composite?
False
Let r be (-2 + 0)*4/16*254. Let a = r - -418. Is a a prime number?
False
Let j(i) = -6*i**3 + 3*i**2 + 14*i - 6. Let q(n) = n**2 + n + 1. Let a(w) = -j(w) + 6*q(w). Is a(7) a prime number?
True
Suppose 0 = -6*s + 5*s + 1087. Is s a prime number?
True
Let n(h) = -456*h. Let j(k) = -81395*k. Let l(w) = 5*j(w) - 892*n(w). Suppose 0 = -g - 3 + 2. Is l(g) a prime number?
True
Suppose -4*y - 6 + 0 = -n, -4*y = 2*n - 12. Suppose -n*g + 1125 = 255. Is g a prime number?
False
Suppose 2936 = -2*h - h + 4*b, -h + 5*b - 986 = 0. Let x = 1473 + h. Is x prime?
False
Suppose 3*w + 4*p - 2528 = 0, -585 = -w + 3*p + 262. Let u be (-1176)/(8/(-32)*6). Suppose 4*c = u + w. Is c composite?
True
Let h(m) = 266*m + 27. Let f be h(14). Suppose -7*l - s + f = -2*l, -2*l = 2*s - 1494. Is l composite?
False
Suppose -2*f + 6*f + 12 = 3*j, -4*j + 5*f = -15. Suppose -5 = -5*z, -b + z + 1776 = -j*b. Is b a prime number?
True
Suppose 0 = -23*o + 5366 + 1373. Is o a prime number?
True
Suppose 0 = 9*l - 4514 - 20983. Is l composite?
False
Suppose -4*m + 36 = -7*m. Let w(r) = -89*r + 19. Is w(m) prime?
True
Suppose -3*s + 344 = s. Let o = s + -52. Suppose 2*t - 620 = -o. I
|
{
"pile_set_name": "DM Mathematics"
}
|
-19 - (z + (0 - 1)). Let b = f + 43. What is the remainder when b is divided by 12?
10
Let c(m) be the third derivative of 0*m**3 - 1/60*m**5 + 0*m + 0 + 0*m**4 + 1/12*m**6 - m**2. Calculate the remainder when 16 is divided by c(1).
7
Let v(d) = d**2 + 3. Let q be v(-3). Calculate the remainder when (7 - -2)*q/9 is divided by 4.
0
Let l(a) = 0*a + 4 + 5*a**2 - 3 - 2*a. Suppose 2*s + 5*n = 1 + 10, s - 4*n = 25. Calculate the remainder when l(-2) is divided by s.
12
Suppose 2*i - 55 = -3*y, -9*y + 4*y + 77 = -4*i. Calculate the remainder when 50 is divided by y.
16
Let a(k) = k**2 - k + 9. Let h be a(0). Let z be 0*(-1)/(3 - 1). Let m = h + z. What is the remainder when 24 is divided by m?
6
Let n = 86 + -41. Calculate the remainder when n is divided by 8.
5
Let c(t) be the first derivative of 11*t**2/2 + 3*t + 3. Calculate the remainder when c(4) is divided by 16.
15
Suppose 62 = b - 172. Let z = 23 - 9. Calculate the remainder when 4/(-6)*b/(-6) is divided by z.
12
Let g = -5 + 24. What is the remainder when g is divided by 7?
5
Let o(w) = -w**2 - 13*w - 14. Let g(r) = r**2 - 4*r - 1. Calculate the remainder when g(-4) is divided by o(-10).
15
Let d be (25/(-3))/5*69. Let z = -75 - d. Calculate the remainder when z is divided by 21.
19
Suppose -51 = 4*i - 7*i. Calculate the remainder when 63 is divided by i.
12
Suppose 5*s - 890 = 5*c, -7*c + 684 = 4*s - 4*c. What is the remainder when s is divided by 11?
9
Suppose -j = 4*j + r - 383, 5*j + 4*r - 377 = 0. What is the remainder when j is divided by 20?
17
Let c = 537 - 383. Calculate the remainder when c is divided by 31.
30
Let l be (-3)/2*(-8)/(-6). Let o(y) = 12*y**2 - 2*y - 3. What is the remainder when o(l) is divided by 13?
10
Let a = 5 - 3. Suppose a*j + 0*j - 5*z - 34 = 0, 3*j - 76 = -5*z. What is the remainder when 43 is divided by j?
21
Let u(l) = -l**2 + 13*l - 21. Let j be 0 + -1 - (-2)/(-1). Let z(g) = -6*g - 2. What is the remainder when z(j) is divided by u(10)?
7
Let k = 14 + -11. Let p = 3 + -3. Let j = p - -6. What is the remainder when j is divided by k?
0
Suppose -112 = -5*r + r. Suppose q + 3*q - r = 0. What is the remainder when 11 is divided by q?
4
Suppose k = -2*k - u + 71, -141 = -5*k + 4*u. Suppose 3*a - 1 = g + 8, -k = g + 5*a. Let o = -1 - g. What is the remainder when 27 is divided by o?
13
Let j(l) be the second derivative of l**4/12 - l**3/6 - l**2/2 - 6*l. Calculate the remainder when 3/(-9) + (-169)/(-3) is divided by j(5).
18
Let z(i) = -6*i + 2*i**2 - 1 + 4*i - 8*i. Let r be 2 + (-2)/1 + 7. What is the remainder when z(r) is divided by 14?
13
Let x(s) = s**3 - 4*s**2 - 2*s - 8. What is the remainder when 12 is divided by x(5)?
5
Let a = 39 - 18. Suppose j - 20 - a = 0. Calculate the remainder when j is divided by (-1 - 27)*(-1)/2.
13
Suppose -j - 49 = -a - a, -3*a + 63 = 2*j. What is the remainder when 44 is divided by a?
21
Let y = 16 + -3. Suppose -3*u + v = -2*v - 87, -u + y = -5*v. Calculate the remainder when u is divided by 12.
9
Let g(d) = -d - 6. Let r be g(-7). Let c be r - -4*(5 - -1). Let w = 41 - c. What is the remainder when 30 is divided by w?
14
Let n(r) be the second derivative of r**5/20 - r**4/3 + r**3 - r**2 - 2*r. Calculate the remainder when n(4) is divided by 8.
6
Suppose -3*j + 8 = -0*l + l, -10 = -2*l - 4*j. Let h(z) = -13*z + 1. Let k(n) = -n - 2. What is the remainder when h(l) is divided by k(-10)?
6
Let s(i) = i**3 + 11*i**2 - i - 1. Let b(r) = r**2 - 6*r - 6. Let f be b(5). Calculate the remainder when 27 is divided by s(f).
7
Let f(q) = -q**3 - 6*q**2 - 4*q - 3. Calculate the remainder when 82 is divided by f(-6).
19
Suppose -28 = -c + 9. Suppose 2*u - 17 = 3. What is the remainder when c is divided by u?
7
Let s(k) be the first derivative of -k**4/4 - k**3/3 - k**2/2 + 34*k + 7. What is the remainder when s(0) is divided by 9?
7
Calculate the remainder when 104 is divided by 1/3 + 88/6.
14
Suppose 6*n = 4*b + n - 117, 0 = 2*b - 3*n - 61. Let a = 32 - b. Calculate the remainder when a is divided by 4.
1
Let u = 43 + 28. Let f = u + -50. Calculate the remainder when 39 is divided by f.
18
Let z(f) = f**3 - 13*f**2 + 12*f - 5. Let j be z(12). Suppose -5*w + 22 = -13. Let g = w + j. Calculate the remainder when 3 is divided by g.
1
Suppose 4*o - 4*b = -84, 3*o + 66 = -o - 2*b. Let l = 42 + o. Let q = 25 + 22. Calculate the remainder when q is divided by l.
23
Let y = -45 + 70. Calculate the remainder when y is divided by 9.
7
Suppose 3*d - 3*z - 33 = 0, 0*z - 15 = 3*z. Suppose -4*v = -133 + 45. What is the remainder when v is divided by d?
4
What is the remainder when (1 - 10/8 - -1)*32 is divided by 15?
9
What is the remainder when ((-3)/5)/(34/(-3570)) is divided by 6?
3
Let s = 5 + -1. Suppose 0*z + s*z - 88 = 0. Let c = -77 - -141. What is the remainder when c is divided by z?
20
Let b(n) = -n**2 - 15*n + 13. What is the remainder when b(-13) is divided by 10?
9
Let k(w) = -4 - 13*w + 8*w + 6*w. What is the remainder when 4 is divided by k(7)?
1
Suppose 3*s = 4*t + 124, 0 = -2*s + 2*t + 3*t + 85. Let d = s - 23. Let p(k) = k + 9. Calculate the remainder when d is divided by p(0).
8
Suppose 3*q + 6 = 0, j + 2*q + 16 = 4*j. Suppose -y + 130 = j*y. Calculate the remainder when y is divided by 10.
6
Let w(i) be the second derivative of i**4/6 + 11*i**3/6 + i**2/2 + 2*i. What is the remainder when w(-8) is divided by 14?
13
Suppose 2*w = -u + 36, w + 4*u = -w + 42. Suppose -33 = -5*t + 2*h + w, 4*h = t - 10. Calculate the remainder when t is divided by 4.
2
Suppose -3*o = -5*l - 0*o + 187, 5 = 5*o. Calculate the remainder when l is divided by (-45)/(-12)*(-16)/(-6).
8
Let m = -7 + 11. Let t = -1 + m. Let b = -2 + 10. What is the remainder when b is divided by t?
2
Let p(v) = -22*v - 2. Suppose 5*j + 15 + 20 = 0. Let b(g) = -7*g - 1. Let l(o) = j*b(o) + 2*p(o). What is the remainder when l(3) is divided by 10?
8
Let o(j) = j**2 + 2*j - 5. Let y = 15 - -2. What is the remainder when y is divided by o(-5)?
7
Suppose -d = 3*i - 5, 5*i = -d + 1 - 2. Suppose 0*q - 120 = -5*q. Calculate the remainder when q is divided by d.
10
Let u(p) = -5*p**2 + 3*p - 7. Let i be u(-6). Let w be 4/16 + i/4. Calculate the remainder when 25 is divided by w/(-4) - 5/(-20).
12
Suppose 4*w - 9*w = 0. Suppose 2*q - 13 + 7 = w. Calculate the remainder when -47*(0/q + -1) is divided by 12.
11
Let w = -10 + 6. Let j be 44/3 + w/6. Calculate the remainder when 60/j + 6/(-21) is divided by 3.
1
Suppose 2*l - 4*g = 4, -5*g - 12 = -3*l - 3. What is the remainder when l is divided by (-6)/4*(2 + -4)?
2
Suppose 2*z + 16 = 4*z. Let k(r) = r**3 - 10*r**2 - 9*r - 13. Let u be k(11). Suppose -3*f = -0*f - u. Calculate the remainder when z is divided by f.
2
Suppose -3*d + 6 + 9 = 0. Let j(i) be the second derivative of i**4/6 - i**3 - 5*i**2/2 + 2*i. Calculate the remainder when 28 is divided by j(d).
13
What is the remainder when 62 is divided by (24/(-10))/((-3)/(-8))*-5?
30
Suppose 0 = l, -4*l - 16 - 8 = 3*w. Let m = 28 - -4. Calculate the remainder when m is divided by ((-55)/20)/(2/w).
10
Let w = 0 - -6. What is the remainder when ((-56)/w)/((-2)/6) is divided by (20/(-14))/((-2)/14)?
8
Suppose 8*o = o + 105. Calculate the remainder when o is divided by 6.
3
Suppose -4*c - 2*x + 134 = -0*c, -5*c - 2*x + 168 = 0. Let i = 66 - c. What is the remainder when i is divided by 11?
10
Suppose 107 + 4 = 3*t. Let u be (-6)/3 - t*-1. Let l = u - 24. What is the remainder when 32 is divided by l?
10
Let o = 4 - 6. Let a be 1/(o*2/8). Calculate the remainder when 47 is divided by 228/14 - a/(-7).
15
Let b = -18 - -10. What is the remainder when (-4)/b + 37/2 is divided by 7?
5
Let u = -8 - -8. Suppose s + 5*j = 15, -2*s - 4*j + 0*j + 54 = u. What is the remainder when s is divided by 12?
11
Let t = 10 - 10. Suppose 4*k + 8 = 0, 4*k + t = -s + 23. Suppose 5*o + 5*b = 2*b + s, -o + 2*b = -14. What is the remainder when 14 is divided by o?
6
Calculate the remainder when 134 is divided by (34/6)/(4/24).
32
Let r(n) = -12*n**2 - 2*n - 1. Let t be r(-1). Let m = t - -18. Suppose m + 6 = p. Calculate the remainder when p is divided by 5.
3
Let j = 120 + -43. What is the remainder when j is divided by 20?
17
Let k be (2/(-4))/(1/(-10)). Suppose -3*s - k = -4*s. What is the remainder w
|
{
"pile_set_name": "DM Mathematics"
}
|
) - x(q).
1601*q**2
Let t(j) = 2*j - 2. Suppose 0 = -b + 7*b + 84. Let o(p) be the third derivative of -5*p**4/12 + 5*p**3/3 + 34*p**2. Give b*t(l) - 3*o(l).
2*l - 2
Let o(g) = -g**3 - 2*g. Let y be -2 - (-36)/(-10) - (-30)/(-75). Let r(x) = x**3 + 2*x. Give y*r(v) - 7*o(v).
v**3 + 2*v
Let b be (1/(2/14))/1. Let x(h) = -17*h + 9. Let t(o) = -72*o + 38. Let i(s) = 2*t(s) - 9*x(s). Let c(q) = 13*q - 7. Give b*i(u) - 5*c(u).
-2*u
Let t(k) = -1 + 1 - 1. Let c(r) = -r**2 - r + 7. Let m(s) = s**3 - s**2 - s + 2. Let a be m(1). Let p be (17 + -13)/(4*a). Calculate p*c(o) + 5*t(o).
-o**2 - o + 2
Let j(q) = -q**2 - q - 1. Let o(y) = 3*y**2 + 3*y - 4. Let h(w) = j(w) + o(w). Let p(b) = 4 - 2 - 3. Let k be 11/(-33) - (-16)/12. Calculate k*h(a) - 6*p(a).
2*a**2 + 2*a + 1
Suppose 6 + 15 = -3*r. Let c(y) = -10*y + 6. Let v(x) = 4 + 1326*x - 444*x - 443*x - 446*x. Determine r*v(l) + 5*c(l).
-l + 2
Let g(j) = -31*j**2 + 20*j + 20. Let r(a) = 11*a**2 - 7*a - 7. Let h(o) = -6*g(o) - 17*r(o). Let b = 1 + -7. Let u(z) = 6*z**2 + 3*z + 3. Give b*h(l) - 2*u(l).
-6*l**2
Let c(i) be the third derivative of i**4/24 - 7*i**3/6 + 40*i**2 + 3. Let x(l) = 3*l - 14. What is -5*c(b) + 2*x(b)?
b + 7
Let c(o) = -3*o**2 + 25*o - 6. Let i(t) = 2*t**2 - 13*t + 3. Calculate 3*c(l) + 5*i(l).
l**2 + 10*l - 3
Let t(g) = 3*g - 3. Let p(h) be the second derivative of h**3/6 - h**2/2 - 18*h. What is -8*p(x) + 3*t(x)?
x - 1
Suppose 0 = 4*g - 6 - 2. Let h(o) = 11*o**2 - 16*o**g - 2*o**2 - 4. Let z(c) = c**2 + 1. What is -h(q) - 4*z(q)?
3*q**2
Let t(i) = -7*i**3 + 6*i**2. Let w(p) = -19*p**3 + 14*p**2 + 10. Let m(r) = 9*r**3 - 7*r**2 - 4. Let z(n) = -5*m(n) - 2*w(n). Give -7*t(y) + 6*z(y).
7*y**3
Let w(h) = 7*h**3 - 6*h**2 + 6*h + 6. Let p(f) be the first derivative of f**4/4 - f**3/3 + f**2/2 + f - 1. Let o = 2189 - 2183. Give o*p(u) - w(u).
-u**3
Let i(v) = 4*v**2 + 3*v - 4. Let u(h) = -3*h**2 - 3*h + 2. What is 2*i(n) + 3*u(n)?
-n**2 - 3*n - 2
Let l(k) = 5*k**3 + 9*k**2 + 209*k + 3. Let x(b) = -13*b**3 - 24*b**2 - 627*b - 8. What is -8*l(f) - 3*x(f)?
-f**3 + 209*f
Let i(l) = -3*l**2. Let h(t) be the third derivative of -15*t**2 + 0*t + 0*t**4 + 0 + 7/60*t**5 + 0*t**3. Determine 6*h(r) + 15*i(r).
-3*r**2
Let v(l) = 5*l**2 + 1. Let a(j) = 2*j**2 + 227083*j - 227083*j. What is 7*a(z) - 3*v(z)?
-z**2 - 3
Let x(f) = f. Let c(t) = -3. Let k(q) = -13. Let a(d) = 9*c(d) - 2*k(d). Determine -a(y) - 5*x(y).
-5*y + 1
Let f(s) = -2*s + 1. Let h(o) be the first derivative of -o**2/2 - 48. Determine f(g) - 3*h(g).
g + 1
Suppose 5*a = -0*a. Suppose 5*b + 1 - 16 = a. Let d(s) = 6*s**3 + 8*s**2 - 8*s. Let j(m) = -m**3 + 3*m - 3*m**2 + 0*m**3 - m**3. Determine b*d(y) + 8*j(y).
2*y**3
Let k(h) = h**2 - 3*h + 2. Let j(w) = 4*w - 13. Let z be j(6). Let c(b) = -1 + 742*b - 758*b + 12 + 6*b**2. Give z*k(n) - 2*c(n).
-n**2 - n
Let u(c) = 2*c**2 + c + 2. Let x = 4 + -7. Let i(j) = 2*j**2 + 2*j + 3. Suppose 0*g + 4*b + 14 = g, 6 = -3*g - 4*b. Give g*i(y) + x*u(y).
-2*y**2 + y
Let l(y) = 3*y + 40. Let x = 1 + -13. Let r be l(x). Let k(i) = 2*i**2 + i + 3. Let h(n) = -3*n**2 - n - 4. Give r*k(j) + 3*h(j).
-j**2 + j
Let a(o) = 13*o**3 - 6*o**2 + 7*o - 4. Let d(c) = -24*c**3 + 11*c**2 - 13*c + 7. What is -7*a(i) - 4*d(i)?
5*i**3 - 2*i**2 + 3*i
Let q(f) = -4*f**3 - 3*f - 2. Let w(d) = -2*d**2 - 30*d - 18. Let y be w(-14). Let o(g) = -y*g + 14*g + 1 + 5*g**3 + 1. Determine -5*o(r) - 6*q(r).
-r**3 - 2*r + 2
Suppose -23*m = -86 - 98. Let x(w) = w**3 + 3*w**2 - 5*w - 1. Let d(z) = 2*z**3 + 8*z**2 - 14*z - 3. What is m*x(k) - 3*d(k)?
2*k**3 + 2*k + 1
Let q(k) = -8*k**2 - 4*k. Let l(j) be the second derivative of 1/6*j**3 + 0*j**2 + 0 + 7*j + 1/12*j**4. Give -4*l(n) - q(n).
4*n**2
Let d(n) = 4*n**2 - n - 2. Let r(s) = s**2 - s - 1. Suppose 6*v = 29 - 5. Suppose v*u - 8 = -4. What is u*d(x) - 2*r(x)?
2*x**2 + x
Let f(w) = 458*w - 3. Let n(c) = -33896*c + 223. Calculate 223*f(l) + 3*n(l).
446*l
Let t(s) = 4*s - 1. Let w(n) = -7*n + 3. Calculate -10*t(x) - 6*w(x).
2*x - 8
Let l(t) = 6*t**3 + 7*t + 7. Let j(h) = 5*h**3 + 7*h + 6. Let b be (-336)/(-72)*(-6)/4. Give b*j(s) + 6*l(s).
s**3 - 7*s
Let n(y) = -35*y**2 + 28*y. Let g(t) be the third derivative of -t**5/15 + t**4/8 - 2*t**2 + 206. Determine -28*g(w) + 3*n(w).
7*w**2
Let i(j) = 550*j + 15. Let a(t) = 550*t + 20. Give 3*a(p) - 4*i(p).
-550*p
Let p(z) be the third derivative of -z**4/24 + z**3/6 + 14*z**2. Let r = 43 + -44. Let l(b) = b**2 - 4*b + 6. Give r*l(o) + 6*p(o).
-o**2 - 2*o
Let m = -7 + 20. Let h(k) = 2*k + 15. Let a(l) = -l - 7. Suppose -7*p - 45 - 25 = 0. Let f be 3/(3 - p/(-4)). Give f*h(w) + m*a(w).
-w - 1
Let m(c) = -c - 4. Suppose v = 5*v + 4. Let w(l) be the first derivative of -l - 5. Calculate v*w(t) + m(t).
-t - 3
Let s(d) = -12*d**3 - d**2 + 2*d + 18. Let g(l) = -19*l**3 - 2*l**2 + 3*l + 37. What is -3*g(k) + 5*s(k)?
-3*k**3 + k**2 + k - 21
Suppose -r - 3*n - 8 = 13, -5*r - 40 = 2*n. Let b(u) = 5*u + 12 + 15 + u**2 - 22. Let m(l) = 6*l + 6. Calculate r*b(z) + 5*m(z).
-6*z**2
Let i(m) = -m - 1. Let c(s) = -5*s + 7. Let o(l) = c(l) - 6*i(l). Let t(w) = 6. Let a(r) = 4*o(r) - 9*t(r). Let d(k) = -4*k + 3. Determine -3*a(q) - 2*d(q).
-4*q
Let d(x) = -7*x + 2. Let r(j) be the third derivative of -j**4/8 + j**3/6 - 7*j**2 + 15*j. Give -2*d(v) + 5*r(v).
-v + 1
Suppose -74*r + 94*r - 60 = 0. Let n = 2 - -1. Let d be ((-5)/n)/((-2)/(-6)). Let f(h) = -h**3 + 5. Let g(s) = -s**3 + 3. What is d*g(q) + r*f(q)?
2*q**3
Let v(s) = s**3 + 2*s**2 + 4*s + 2. Let x(w) = -7*w - 3 - 12*w**3 + w**3 + 10*w**3 - 3*w**2. What is 7*v(d) + 4*x(d)?
3*d**3 + 2*d**2 + 2
Let p(g) = -10*g**3 + 5*g - 5. Let r(d) = 23*d**3 - 4*d + 4. Let t(z) = 25*z**3 - 3*z + 3. Let f(u) = -5*r(u) + 4*t(u). What is 5*f(n) - 8*p(n)?
5*n**3
Let o(v) = v**2. Let r = -16 - -2. Let l = 47 + -45. Let t(a) = -a**3 + 7*a**2. What is l*t(j) + r*o(j)?
-2*j**3
Let m(v) = -v - 2. Let j be m(-5). Suppose -j*f + 3*i - 6 = 0, -5*i - 42 + 2 = 5*f. Let k(u) = u - 1. Let b(w) = w**2 + 5*w - 5. Calculate f*k(l) + b(l).
l**2
Let h(a) = a**3 + 5*a**2 - 16*a + 5. Suppose -6*t - 14 = 16. Let l(n) = -2*n**3 - 12*n**2 + 40*n - 12. Give t*l(v) - 12*h(v).
-2*v**3 - 8*v
Let z(i) = i**2 - 5*i - 3. Let v be z(5). Let u = -2 + 21. Let y(b) = -4*b + u - 5 - 5*b. Let a(k) = -3*k + 5. Calculate v*y(p) + 8*a(p).
3*p - 2
Let j(z) = -12*z**2 - 3*z - 17. Let t(d) = -4*d**2 - d - 6. Let n = 344 - 361. What is n*t(b) + 6*j(b)?
-4*b**2 - b
Let z(d) = d - 1. Let c(x) be the second derivative of x**3/3 + 7*x**2/2 - 8*x. Let q(j) be the first derivative of c(j). What is -q(k) - 2*z(k)?
-2*k
Suppose -55*s + 10 = -50*s. Let n(j) = 2*j - 5. Let o(m) = m - 5. Calculate s*n(g) - 3*o(g).
g + 5
Let o(j) = j**2 + 1. Suppose 0 = -5*v + 7 + 8. Let i(a) = -2*a**2 + 2*a - 3. Determine v*o(x) + i(x).
x**2 + 2*x
Let q(k) = 5*k**3 + 36*k**2 + 17. Let l(b) = -b**3 - 7*b**2 - 3. Give 11*l(u) + 2*q(u).
-u**3 - 5*u**2 + 1
Let x be (-2)/5 + (-418)/(-95). Let r(h) = 10*h**3 - 4*h**2. Let f(j) = 20*j**3 - 9*j**2. What is x*f(w) - 9*r(w)?
-10*w**3
Let j(s) = -141*s - 2. Let u(h) = -3*h - 1. Determine j(v) - u(v).
-138*v - 1
Let j(h) be the third derivative of 5*h**6/24 + 11*h**4/24 + 35*h**2. Let d(p) = -13*p**3 - 6*p. What is 11*d(w) + 6*j(w)?
7*w**3
Let w(z) = 115*z**3 - 6*z**2 + 2*z - 4. Let d(p) = -116*p**3 + 7*p**2 - 2*p + 5. Calculate 4*d(j) + 5*w(j).
111*j**3 - 2*j**2 + 2*j
Let v be (5/4)/((-1)/4). Let s(t) be the third derivative of -t**4/6 + t**3/3 + 13*t**2 + t. Let l(w) = -9*w + 3. What is v*s(m) + 2*l(m)?
2*m - 4
Let u(b) = 6*b**2 - b - 5. Let x(o) = 2*o**2 + 2*o - 1. Give -u(d) + x(d).
-4*d**2 + 3*d + 4
Suppose o + 37 = 16. Let k(h) = -3*h**2 - h**2 + 3*h**2 - h. Let i(z) = 6*z**2 + 7*z. What is o*k(c) - 3*i(c)?
3*c**2
Let w(b) = 7*b**3 - 4*b + 6. Let r(v) = -57*v**3 + 33*v - 48. Give -4*r(m) - 33*w(m).
-3*m**3 - 6
Let x = -6 - -12. Let t(y) = 5*y - 3. Let c(u) = -4*u - 21. Let o be c(-9). Suppose 0 = -5*r + 8*r + o. Let b(l) = 4*l - 2. Give r*t(j) + x*b(j).
-j + 3
Let a(m) = -3*m**2 - 5*m + 110. Let c(b) = 3*b**2 + 6*b - 109. Determine 6*a(y) + 5*c(y).
-3*y**2 + 115
Suppose -4*r = -x + 7, -3*r = -4*x - 4*r - 23. Let j(k) = k**2 - k - 1. Let d(v) = -7*v**3 - 5*v**2 + 5*v + 5. Give x*j(t) - d(t).
7*t**3
Let i(y) = -3*y - 3. Let w(k) = 15*k**2 + 45*k +
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate the highest common factor of 35 and 945.
35
What is the greatest common factor of 15 and 555?
15
What is the highest common factor of 3017 and 49?
7
What is the greatest common factor of 156 and 72?
12
What is the highest common factor of 109 and 8938?
109
What is the greatest common divisor of 171 and 494?
19
What is the highest common divisor of 55608 and 84?
84
Calculate the greatest common factor of 54047 and 49.
49
What is the greatest common factor of 24 and 136?
8
Calculate the greatest common factor of 68 and 2074.
34
What is the greatest common divisor of 9 and 720?
9
What is the greatest common divisor of 148 and 16724?
148
Calculate the highest common factor of 135 and 1647.
27
Calculate the highest common divisor of 3344 and 272.
16
What is the greatest common divisor of 40 and 4840?
40
Calculate the highest common factor of 576 and 256.
64
Calculate the highest common divisor of 208 and 26.
26
Calculate the greatest common factor of 180 and 36.
36
What is the highest common divisor of 176 and 143?
11
What is the highest common divisor of 957 and 44?
11
What is the highest common divisor of 22 and 473?
11
Calculate the greatest common factor of 24 and 18.
6
Calculate the greatest common divisor of 224 and 84.
28
Calculate the greatest common factor of 637 and 273.
91
Calculate the highest common factor of 464 and 48.
16
What is the highest common factor of 192 and 168?
24
Calculate the highest common divisor of 826 and 70.
14
Calculate the greatest common divisor of 8 and 736.
8
Calculate the greatest common divisor of 2576 and 42.
14
Calculate the greatest common factor of 3 and 39.
3
Calculate the highest common factor of 80 and 496.
16
Calculate the highest common factor of 4 and 16.
4
Calculate the greatest common factor of 3886 and 1340.
134
Calculate the greatest common divisor of 54 and 5778.
54
What is the highest common divisor of 242 and 4719?
121
What is the greatest common divisor of 374 and 55?
11
What is the greatest common divisor of 2813 and 29?
29
Calculate the greatest common factor of 42 and 6153.
21
What is the greatest common divisor of 2499 and 147?
147
What is the greatest common factor of 154 and 957?
11
What is the highest common factor of 928 and 406?
58
Calculate the highest common factor of 345 and 2208.
69
Calculate the greatest common factor of 1929 and 9.
3
What is the greatest common divisor of 3223 and 11?
11
Calculate the greatest common factor of 9 and 2592.
9
Calculate the highest common divisor of 831 and 7202.
277
Calculate the greatest common factor of 20 and 490.
10
Calculate the highest common factor of 2688 and 21.
21
Calculate the greatest common divisor of 1727 and 33.
11
What is the highest common divisor of 7 and 63?
7
Calculate the greatest common divisor of 396 and 3300.
132
What is the greatest common factor of 56 and 1316?
28
Calculate the highest common divisor of 15 and 33135.
15
Calculate the greatest common divisor of 21 and 119.
7
What is the greatest common factor of 3649 and 890?
89
What is the highest common divisor of 699 and 3?
3
Calculate the greatest common divisor of 1520 and 320.
80
What is the greatest common factor of 1176 and 360?
24
Calculate the greatest common divisor of 816 and 48.
48
Calculate the highest common divisor of 161 and 851.
23
What is the greatest common factor of 228 and 304?
76
What is the highest common factor of 1691 and 304?
19
Calculate the highest common factor of 75 and 240.
15
Calculate the greatest common divisor of 1178 and 124.
62
What is the greatest common factor of 1746 and 18?
18
What is the highest common factor of 351 and 45?
9
Calculate the greatest common factor of 55 and 4565.
55
What is the highest common factor of 7215 and 130?
65
Calculate the greatest common factor of 7515 and 60.
15
What is the highest common divisor of 136 and 425?
17
What is the greatest common divisor of 11 and 5?
1
What is the greatest common divisor of 2 and 54?
2
Calculate the greatest common factor of 1066 and 26.
26
What is the greatest common divisor of 828 and 2196?
36
What is the greatest common factor of 1898 and 52?
26
What is the greatest common factor of 8181 and 45?
9
What is the greatest common divisor of 11 and 11?
11
What is the greatest common divisor of 468 and 12?
12
What is the greatest common divisor of 3509 and 605?
121
Calculate the greatest common divisor of 50350 and 50.
50
Calculate the highest common divisor of 97 and 2716.
97
What is the greatest common divisor of 136 and 1224?
136
Calculate the highest common divisor of 9 and 81.
9
Calculate the highest common divisor of 46 and 2231.
23
Calculate the highest common factor of 5217 and 423.
141
Calculate the highest common factor of 1755 and 39.
39
What is the greatest common divisor of 1512 and 392?
56
What is the greatest common divisor of 343 and 1519?
49
What is the highest common factor of 1738 and 7268?
158
What is the highest common divisor of 52 and 3666?
26
What is the highest common factor of 765 and 90?
45
Calculate the greatest common factor of 58 and 754.
58
Calculate the greatest common factor of 14 and 49.
7
Calculate the highest common divisor of 38 and 5035.
19
Calculate the highest common factor of 1990 and 50.
10
What is the highest common factor of 21770 and 14?
14
What is the highest common divisor of 50 and 188?
2
Calculate the greatest common divisor of 480 and 180.
60
Calculate the highest common factor of 55741 and 7.
7
What is the highest common factor of 50 and 30?
10
Calculate the highest common divisor of 4584 and 8.
8
Calculate the highest common divisor of 34 and 1598.
34
What is the greatest common factor of 104 and 650?
26
Calculate the highest common divisor of 437 and 703.
19
Calculate the greatest common factor of 16 and 5896.
8
Calculate the greatest common factor of 9 and 927.
9
What is the highest common divisor of 63 and 14?
7
Calculate the highest common factor of 17913 and 21.
21
Calculate the highest common divisor of 184 and 230.
46
What is the highest common factor of 731 and 85?
17
Calculate the highest common factor of 1008 and 56.
56
Calculate the greatest common divisor of 105 and 119.
7
What is the highest common divisor of 247 and 13?
13
What is the highest common divisor of 60 and 380?
20
Calculate the greatest common divisor of 2205 and 45.
45
Calculate the highest common factor of 583 and 11.
11
What is the greatest common divisor of 13 and 214?
1
What is the greatest common divisor of 21 and 609?
21
What is the greatest common factor of 25 and 670?
5
What is the greatest common divisor of 896 and 7?
7
Calculate the highest common factor of 54 and 24894.
54
Calculate the highest common factor of 7825 and 313.
313
Calculate the highest common divisor of 7015 and 460.
115
Calculate the greatest common divisor of 156 and 10356.
12
Calculate the highest common divisor of 608 and 19.
19
Calculate the greatest common factor of 721 and 1545.
103
What is the greatest common divisor of 1441 and 11?
11
What is the highest common divisor of 5986 and 738?
82
Calculate the highest common factor of 783 and 216.
27
Calculate the greatest common factor of 1584 and 66.
66
Calculate the greatest common divisor of 60 and 24.
12
What is the greatest common factor of 29 and 232?
29
Calculate the highest common divisor of 1276 and 16.
4
Calculate the highest common divisor of 200 and 304.
8
Calculate the highest common divisor of 745 and 10.
5
Calculate the highest common factor of 26 and 2483.
13
What is the highest common divisor of 36 and 198?
18
What is the greatest common divisor of 357 and 459?
51
Calculate the greatest common factor of 245 and 6517.
49
What is the greatest common factor of 225 and 81?
9
What is the highest common factor of 11 and 154?
11
What is the highest common divisor of 1703 and 39?
13
What is the greatest common divisor of 12 and 12?
12
Calculate the greatest common factor of 95 and 1045.
95
What is the greatest common divisor of 133 and 171?
19
Calculate the greatest common divisor of 446 and 4.
2
Calculate the highest common factor of 8 and 52.
4
What is the highest common factor of 24233 and 22?
11
Calculate the highest common factor of 90 and 240.
30
What is the greatest common factor of 266 and 406
|
{
"pile_set_name": "DM Mathematics"
}
|
-5*l = -25, -5*l - 61 - 14 = -5*z. Suppose -w = -6*w + z. Let p(h) = -h**2 - 6*h + 47. Let k be p(-10). Solve 23 = -w*g + k for g.
-4
Let n(s) = s**3 + 8*s**2 + 2. Let j be n(-8). Suppose 2*d - 17 = -4*f + 1, j*f = 3*d - 3. Solve r - 8 + d = 0 for r.
5
Suppose 5*g + 23 = c + 2*c, -16 = 4*g. Solve 5*j + 9 = -c for j.
-2
Let h(l) = -3*l**3 - l**2 - l - 2. Let f be h(-2). Let c(t) = 6*t - 10. Let i be c(3). Let z be (-5)/(-2) - (-4)/i. Solve -2*g = z*g + f for g.
-4
Suppose 2*h - 18 - 2 = 0. Let w(m) = 2*m**3 + 5*m**2 + 11. Let s be w(-3). Suppose -h - s = -3*z. Solve 0 = q - 1 + z for q.
-3
Let c(i) = 4*i**2 + 56*i + 52. Let m be c(-13). Solve -9*s + 21*s = m for s.
0
Let c(i) = -i**3 - 9*i**2 + i + 11. Let u(w) = -w**3 - 11*w**2 - 2*w - 2. Let b be u(-11). Let y = 11 - b. Let j be c(y). Solve m + j*m = -12 for m.
-4
Let g be (-16)/(-10) + (-12)/(-5) + -2. Let c be ((-64)/(-80))/(g/10). Solve 5*d = c + 6 for d.
2
Let p(h) be the first derivative of h**2/2 + 23*h + 8. Let q be p(-17). Solve 5*d + 1 = q for d.
1
Suppose -3*s - 109 = -4*o, 2*o - s - 68 + 15 = 0. Solve -2*a = -7*a + o for a.
5
Let z(h) = -h**3 + 2*h**2 + h + 8. Let k(a) = 2*a**3 - 5*a**2 - 2*a - 17. Let x(v) = -6*k(v) - 13*z(v). Let u be x(-4). Solve 3*l + u = 4*l for l.
2
Let y = 286 + -283. Solve 0*m - y*m = -7*m for m.
0
Let x = 215 + -207. Solve 16 = 4*h - x*h for h.
-4
Let r be 2/8 + 272/(-64). Let j be (13/5 + -3)/(r/120). Solve -2*l + j = -5*l for l.
-4
Let w = -31 + 66. Suppose -3*i + 142 = 2*v + 2*v, -4*i = 2*v - 66. Let y = v - w. Solve 2 = 4*q - y for q.
1
Suppose -v - 2*l + 5*l = -43, -3*v - l = -159. Solve -v*x - 15 = -67*x for x.
1
Suppose -51*h - 973 = -3268. Solve -5*p - h = 4*p for p.
-5
Suppose 11*o = -18*o + 3*o. Solve u = -o*u + 4 for u.
4
Let q = -91 - -98. Solve -4*h + q*h = 6 for h.
2
Let v(b) be the second derivative of b**5/20 - b**4 + 13*b**3/6 - 17*b**2/2 - 3*b. Let u be v(11). Solve u*r = -4 - 11 for r.
-3
Let a = 3 + -3. Let u be ((-2)/4*a)/(-1). Suppose -1259 = 3*o - 1265. Solve u = -o*q - 9 - 1 for q.
-5
Let d = 399 + -379. Solve d*k = 18*k + 10 for k.
5
Let m = -338 + 343. Solve -m + 7 = -b for b.
-2
Suppose 90*i - 12 = 12 + 66. Let z(o) = -o + 5. Let a be z(0). Solve -i = -a*n - 6 for n.
-1
Let s(o) = -o**2 + 6*o - 4. Let f be s(4). Let x = -546 - -555. Solve -z - x = -f*z for z.
3
Let w be (-2)/32*-4*4. Let l be w/4 + 1/(-4). Solve l*x + x = 4 for x.
4
Let u be (0 - 1)*0*(-6)/(-36). Solve u + 1 = -o for o.
-1
Suppose -8 = j - 4*j + f, 4*f = -5*j + 2. Let x = 24 - 20. Solve -j*n + x + 2 = 0 for n.
3
Let o be -1*(-24)/(-9)*-3. Solve 0 = -12*d + 10*d + o for d.
4
Let b(o) = 16*o + 458. Let g be b(-27). Solve -23*r - 3 = -g*r for r.
1
Suppose -73*d = -24*d - 343. Solve 0 = -14*m + d*m + 28 for m.
4
Suppose 2*n = 5*n. Suppose h = 3*x + 15, n*h - 3*h = -2*x - 17. Let u(g) = -g**2 - 2*g + 38. Let m be u(5). Solve m = h*y - 3 for y.
2
Let l(m) = -m**2 + 8*m + 243. Let q be l(-12). Solve -5 = -q*w - 2 for w.
1
Let n = -8 - -8. Suppose 4*z - 4*p - 7 = -5*p, z - 5*p - 7 = n. Suppose -12 = -2*y - z*y. Solve 2*x = y*x for x.
0
Let n(t) be the second derivative of -t**4/12 - 2*t**3/3 + 3*t**2/2 + 9*t. Let y be n(-4). Solve 7 - 1 = -y*d for d.
-2
Suppose 101*x - 107*x = -18. Solve -3 = x*r - 6 for r.
1
Suppose 5*r = -3*y + 15, 5*y = -3*r + 67 - 26. Solve -7*u + y*u + 9 = 0 for u.
-3
Let i(r) = -r**3 + 8*r**2 - 12*r - 1. Let b be i(3). Solve b = -0*t + 4*t for t.
2
Suppose 4*q = -4*t + 35 + 49, -4*q + 79 = -t. Suppose 4 = 12*j - q. Solve 0 = -j*p - 3*p for p.
0
Let y = -58 - -68. Solve -y = b - 3*b for b.
5
Let g = -24 + 84. Suppose r = 4*r - g. Let c = r - 12. Solve 2*o - c = -2*o for o.
2
Let n(c) = -2*c**2 + 4. Suppose -s + 0 = -3*b - 2, -5*s - 28 = 4*b. Let a be n(b). Let d = 6 + a. Solve -d*k = -1 - 3 for k.
2
Let m = -2 - 6. Let r be 2/((-28)/(-21)*(-3)/m). Solve -u - r*u + 20 = 0 for u.
4
Let b(t) = t**2 - 3*t - 199. Let j be b(16). Solve j*w - 7*w = -4 for w.
-2
Let b = -8 - -15. Suppose 5*p + 22 = 3*o, p = 7*o - 6*o - 6. Let z be (-4)/(-20) + (-64)/(-5). Solve -o*v - b = z for v.
-5
Suppose 0 = -5*l + 43 + 77. Suppose 11*a - 9*a = l. Suppose -2 - 10 = -3*y - h, -4*h = -3*y + a. Solve d - 1 = y for d.
5
Let x(u) = -4*u + 25. Let l be x(4). Solve -5*s + l*s - 8 = 0 for s.
2
Suppose 0 = 5*t - 10*t. Solve 7*z + 28 = -t*z for z.
-4
Suppose -5*x = -2*c + 11 + 14, 0 = -3*c - 5*x. Suppose -2*k + 3*j + c = 4*j, 3*k = -j + 9. Suppose 5*f - 9 = 2*f. Solve -k = -f*q + 5 for q.
3
Suppose 2*r - 3*x - 5 = 0, -38 = -2*r + x - 23. Solve -36 = r*b + 2*b for b.
-3
Suppose -5*x = -0 - 5. Suppose 0 = 5*f - 3*f - 2*l - 18, -l - 13 = -2*f. Let i be 6/f*-26*(-4)/12. Solve x - i = -3*h for h.
4
Suppose -4 = 2*r - 3*r. Let x = 7 - 8. Let c(g) = -g**3 - g**2 - g - 1. Let h be c(x). Solve -2*t + 8 - r = h for t.
2
Let a = 28 - 10. Suppose -8*g - 2 = -a. Suppose -n + 57 = g*n. Solve -4*c - 1 = n for c.
-5
Suppose -5*c - 9 - 11 = 0. Suppose 3*m - 311 + 323 = 0. Let f = m - c. Solve f*b + 4*b = 0 for b.
0
Let o be 6/5*(-40)/(-6). Suppose 2*c - 8 = 2*i - i, 4*i + o = 2*c. Solve -2*z = -4*z + c for z.
2
Let g = -45 + 48. Let w be (g/(-2) + 108/8)/2. Solve -4*k + w = 2 for k.
1
Let t(r) = -3*r**3 - 10*r**2 + 7*r + 9. Let b be t(-4). Solve 4*z - b = -21 for z.
-2
Suppose 8 = -14*o + 16*o. Suppose 0 = -o*t + 9 + 11. Solve 0*y + 5*y + t = 0 for y.
-1
Let i(a) = -7*a - 3. Let s be i(-2). Suppose -y - n = y - s, -3*y = -4*n - 11. Solve 0 = 3*z - y*z - 6 for z.
-3
Suppose c = 5*g - 13, c - 2 = 3*c - 2*g. Let f be (64/(-16))/(-1*(4 - c)). Solve 5 - f = -k for k.
-3
Let x = 12 + -6. Suppose -30 = -5*t + 5*u, -3*t + 25 = 2*u + 22. Solve x*d - 15 = t*d for d.
5
Suppose -2 = 3*x - 8, 3*s - 2*x - 8 = 0. Let i = -332 - -352. Suppose -4*v = -4*b + 16, v = -5*b - s*v + i. Solve b = -4*y + 2*y for y.
-2
Suppose 5 = -4*n + 33. Suppose -5 = -4*d - s, -4*d + 16 = -5*s - n. Solve 8 = 2*y - d for y.
5
Suppose 7*r - 11 = -4*o + 8*r, -21 = o - 5*r. Suppose k + 2*k - 5*n + 20 = 0, 3*k + o = n. Solve 4*u + 0 + 4 = k for u.
-1
Suppose -5*y = -0*y - 65. Suppose 2*s - 2*k + 6 = 0, -s - k = 2*k - y. Solve 0*p = p - s for p.
1
Suppose 4*n + y = 39, 5*y = -n + 2*y - 4. Solve -n*w = 12 - 34 for w.
2
Let b = 326 - 326. Solve 5*n - 3*n = b for n.
0
Let j be (-9)/(-6) - 3/(-2). Suppose j*i - 85 = -13. Suppose -5*b - 2*x + i = -3*x, -3*b + 10 = -5*x. Solve b*z = -7 + 17 for z.
2
Let w(a) = -a**3 - a**2 - 7*a + 25. Let d be w(5). Let c = d - -168. Let n(x) = 29*x - 1. Let h be n(1). Solve h - c = 4*p for p.
5
Suppose -12*y + 7*y = 30. Let a be 3/(y/(-2)) + 0. Let g be ((-28)/(-12) - a)*3. Solve g*j - 15 = 1 for j.
4
Suppose 12*f - 14 = 46. Let x(a) = 2*a**3 - 12*a**2 + 10*a + 3. Let n be x(f). Solve 0 = j - 0 + n for j.
-3
Let u = 126 + -126. Suppose 0 = -5*x + 2*x. Solve x = -u*r + r + 5 for r.
-5
Let x = 230 - 226. Solve 0 = -5*p + 3*p + x for p.
2
Let m = 46 - 43. Solve -3*j - m = 6 for j.
-3
Let v be (-55)/20*(-21 - -1). Let t be (-9)/(-2) - 2/(-4). Suppose 2 = n, -3*n - v = -t*p - 8*n. Solve -p*k = -4*k + 5 for k.
-1
Let c = -57 - -192. Let p be (-27)/c - (-1 + (-12)/10). Solve 3 + p = n for n.
5
Let x be -4 - (-1 - (-9 + 0)). Let d be (36/10)/(x/(-40)). Let t be (-4)/d - (-13)/3. Solve -t*m - 5 - 7 = 0 for m.
-3
Let u be (-4)/(-2)*1 + 2. Let p be (-3)/6 - (-4 + (-695)/10). Suppose -7 - p = -4*m. Solve 0 = -u*n - n - m for n.
-4
Let q = 4 + -4. Suppose -3*j - n = 3, j + 0*n = -n - 3. Let w be (-9)/(-1)*(1 + j). Solve -2*m - m + w = q for m.
3
Let m = 13 + -9. Let g(u) = u**3 + 3*u**2 + 2*u + 2. Let k be g(-3). Let q be (34 - k)*(-1)/(-2). Solve m = -3*j + q for j.
5
Suppose s = 3 + 3. Let x be -18 + 4 + (2 - -2). Let z be 34/10 - (-4)/x. Solve z*c + s = -3 for c.
-3
Let u(s) = -s**2 - 2*s + 4. Let n be u(1). Suppose -7*b + n = -34. Solve -o + b = -0 for o.
5
Let r be 1*((-3 - -4)*1 + 11). Let g be 4/6 - (-52)/r. Solve 5*f = 15 + g for f.
4
Suppose 2 = t - 1. Let f be (t + 0 + -5)*-2. Solve s = f*s for s.
0
Let g be (1 + -1 + 2)/(20/30). Solve 5*c = g + 12 for c.
3
Suppose 128*y - 2056 = 632. Solve 0 = 15*v - 66 + y for v.
3
Suppose -2*p - 14 = b, 0 = -5*b + 2*p + p - 70. Let w(o) = o**3 + 13*o**2 - 14*o + 3. Let v be w(b). Let i = 5 - -1. Solve 6*r = v*r - i for r.
-2
Let h = -6 + 12. Suppose -5*g + 3*z = -44, 4*g
|
{
"pile_set_name": "DM Mathematics"
}
|
mon factor of 44 and 55?
11
Calculate the highest common factor of 130 and 494.
26
What is the highest common factor of 245 and 5?
5
Calculate the greatest common factor of 106 and 265.
53
Calculate the greatest common divisor of 95 and 57.
19
What is the highest common divisor of 1963 and 13?
13
Calculate the highest common factor of 88 and 96.
8
What is the greatest common factor of 4 and 16876?
4
What is the greatest common divisor of 207 and 72?
9
Calculate the highest common divisor of 5 and 320.
5
Calculate the highest common factor of 435 and 87.
87
What is the greatest common divisor of 13 and 2119?
13
Calculate the greatest common divisor of 6 and 1194.
6
Calculate the greatest common divisor of 212 and 12.
4
Calculate the greatest common factor of 41 and 11357.
41
Calculate the highest common divisor of 308 and 3476.
44
What is the greatest common factor of 306 and 72?
18
What is the highest common divisor of 140 and 182?
14
What is the highest common divisor of 37 and 1?
1
What is the highest common divisor of 80 and 15?
5
Calculate the highest common factor of 84 and 28.
28
Calculate the greatest common divisor of 36 and 1548.
36
What is the greatest common divisor of 64 and 688?
16
Calculate the highest common factor of 3264 and 255.
51
Calculate the highest common factor of 2662 and 22.
22
Calculate the highest common factor of 704 and 264.
88
What is the greatest common factor of 40 and 64840?
40
What is the highest common factor of 812 and 252?
28
Calculate the greatest common factor of 119 and 2516.
17
What is the highest common factor of 3 and 21?
3
Calculate the greatest common divisor of 476 and 3052.
28
Calculate the greatest common divisor of 14842 and 82.
82
Calculate the greatest common factor of 56 and 308.
28
Calculate the highest common factor of 1264 and 16.
16
What is the highest common divisor of 754 and 234?
26
What is the highest common divisor of 1702 and 629?
37
What is the greatest common factor of 119 and 35?
7
Calculate the highest common factor of 1022 and 378.
14
Calculate the highest common factor of 3024 and 231.
21
What is the greatest common factor of 1189 and 123?
41
What is the highest common divisor of 2810 and 10?
10
What is the greatest common divisor of 136 and 1139?
17
Calculate the highest common divisor of 6897 and 33.
33
What is the highest common factor of 16 and 872?
8
What is the highest common factor of 6 and 15?
3
What is the highest common divisor of 124 and 1984?
124
What is the greatest common factor of 80 and 200?
40
Calculate the greatest common factor of 18 and 324.
18
Calculate the highest common factor of 84 and 36.
12
Calculate the highest common factor of 148 and 370.
74
Calculate the greatest common factor of 285 and 24985.
95
What is the greatest common divisor of 322 and 7?
7
Calculate the greatest common divisor of 124 and 31.
31
Calculate the highest common factor of 606 and 59691.
303
Calculate the highest common divisor of 328 and 56.
8
Calculate the highest common factor of 580 and 15.
5
What is the highest common factor of 68 and 28492?
68
What is the greatest common divisor of 5439 and 1036?
259
What is the highest common divisor of 60 and 60?
60
Calculate the greatest common divisor of 64 and 2.
2
What is the greatest common factor of 1540 and 1980?
220
Calculate the highest common divisor of 40 and 1220.
20
Calculate the highest common divisor of 18 and 300.
6
Calculate the highest common factor of 7 and 1.
1
What is the highest common divisor of 2840 and 120?
40
Calculate the highest common factor of 31862 and 178.
178
What is the highest common divisor of 632 and 237?
79
Calculate the greatest common divisor of 19664 and 48.
16
What is the highest common divisor of 10 and 415?
5
Calculate the highest common divisor of 37362 and 52.
26
What is the highest common factor of 55 and 649?
11
What is the greatest common factor of 56 and 308?
28
What is the highest common divisor of 429 and 78?
39
Calculate the greatest common divisor of 2448 and 88.
8
Calculate the greatest common divisor of 91 and 52.
13
Calculate the greatest common divisor of 30 and 165.
15
Calculate the highest common divisor of 1194 and 24.
6
What is the highest common divisor of 15 and 135?
15
Calculate the highest common factor of 44 and 3454.
22
What is the greatest common divisor of 625 and 1625?
125
What is the highest common factor of 256 and 1600?
64
What is the highest common divisor of 45 and 355?
5
What is the highest common factor of 14 and 728?
14
Calculate the highest common factor of 132 and 3102.
66
Calculate the greatest common divisor of 4 and 7132.
4
What is the greatest common factor of 1786 and 658?
94
Calculate the highest common divisor of 286 and 44.
22
What is the highest common divisor of 31 and 124?
31
What is the highest common factor of 390 and 65130?
390
What is the greatest common factor of 209 and 418?
209
What is the greatest common divisor of 4876 and 1908?
212
Calculate the highest common divisor of 66 and 2266.
22
Calculate the highest common factor of 192 and 54.
6
Calculate the greatest common factor of 6252 and 12.
12
Calculate the highest common factor of 528 and 432.
48
Calculate the greatest common divisor of 1495 and 13.
13
What is the greatest common factor of 64 and 240?
16
Calculate the greatest common divisor of 708 and 12.
12
What is the highest common divisor of 186 and 155?
31
What is the greatest common divisor of 8998 and 66?
22
Calculate the highest common divisor of 105 and 49.
7
Calculate the greatest common divisor of 18 and 63.
9
What is the highest common factor of 54 and 972?
54
What is the highest common divisor of 23 and 1219?
23
What is the greatest common factor of 696 and 261?
87
Calculate the highest common divisor of 170 and 646.
34
Calculate the highest common divisor of 345 and 135.
15
Calculate the greatest common factor of 139 and 1.
1
What is the greatest common factor of 108 and 81?
27
Calculate the greatest common divisor of 15 and 8145.
15
Calculate the highest common factor of 452 and 11978.
226
Calculate the greatest common divisor of 5200 and 832.
208
What is the highest common factor of 3185 and 65?
65
What is the highest common divisor of 70 and 30?
10
What is the greatest common divisor of 68 and 1156?
68
What is the greatest common divisor of 96 and 84?
12
Calculate the greatest common divisor of 34 and 13957.
17
Calculate the greatest common divisor of 1281 and 793.
61
Calculate the highest common divisor of 78 and 1339.
13
What is the highest common divisor of 396 and 108?
36
Calculate the greatest common factor of 88 and 3208.
8
Calculate the greatest common factor of 312 and 24.
24
Calculate the greatest common divisor of 16 and 1264.
16
Calculate the highest common divisor of 952 and 1288.
56
Calculate the highest common factor of 1521 and 1170.
117
What is the highest common divisor of 315 and 60?
15
What is the greatest common factor of 7 and 623?
7
Calculate the greatest common factor of 32 and 128.
32
What is the highest common factor of 34 and 272?
34
What is the greatest common factor of 7464 and 24?
24
What is the highest common factor of 1066 and 410?
82
What is the highest common factor of 136 and 8296?
136
Calculate the greatest common factor of 144288 and 36.
36
Calculate the highest common divisor of 640 and 736.
32
What is the greatest common divisor of 72463 and 311?
311
Calculate the highest common divisor of 221 and 234.
13
Calculate the greatest common factor of 3297 and 21.
21
Calculate the highest common factor of 9 and 3.
3
What is the highest common divisor of 22 and 275?
11
Calculate the highest common factor of 64 and 304.
16
Calculate the highest common divisor of 232 and 29.
29
What is the highest common divisor of 286 and 11?
11
What is the greatest common factor of 182 and 77?
7
What is the highest common factor of 668 and 20?
4
Calculate the greatest common divisor of 133 and 76.
19
What is the greatest common divisor of 6 and 226?
2
Calculate the highest common factor of 416 and 533.
13
Calculate the greatest common factor of 11886 and 42.
42
Calculate the greatest common factor of 12863 and 19.
19
What is the greatest common factor of 20100 and 900?
300
What is the highest common
|
{
"pile_set_name": "DM Mathematics"
}
|
3.
-43*v**3
Collect the terms in 16*r + 6 - 14*r - 6.
2*r
Collect the terms in 48*d**2 - 23*d**2 - 27*d**2.
-2*d**2
Collect the terms in -251 + 41*g**2 + 251.
41*g**2
Collect the terms in 17*d**2 + 35*d**2 + 22*d**2.
74*d**2
Collect the terms in -13*p**2 + 865*p - 865*p.
-13*p**2
Collect the terms in 13*r**2 - 23*r**3 - 13*r**2.
-23*r**3
Collect the terms in -2*v**3 - 8*v**2 + 13*v**2 + 2*v**2 + 20*v**2.
-2*v**3 + 27*v**2
Collect the terms in 3*k**2 + 16 - 10 - 6.
3*k**2
Collect the terms in -35*o**3 + 13*o**3 - 4 + 4.
-22*o**3
Collect the terms in -18*i - 12*i - 3*i**2 + 30*i.
-3*i**2
Collect the terms in 64 + 53 - 219 - j.
-j - 102
Collect the terms in -1529 - 41*l**3 + 1529 + 14*l**3.
-27*l**3
Collect the terms in 7 + 8 + 3*l - 41.
3*l - 26
Collect the terms in 29*n**2 - n**2 + 8*n**2 + n**2.
37*n**2
Collect the terms in 9*a**2 + 0*a**2 + 0*a**2 - 15*a**2 + a**2.
-5*a**2
Collect the terms in -18*g**2 - 26*g**2 + 61*g**2 - g**3 - 17*g**2.
-g**3
Collect the terms in 72*q**3 - 151*q**3 + 83*q**3.
4*q**3
Collect the terms in 15*i**3 + 15*i**3 - 18*i**3 + 13*i**3.
25*i**3
Collect the terms in 26 - 3*v**2 - 49 - 8*v**2 + 23.
-11*v**2
Collect the terms in -23*p + 3*p - 2*p.
-22*p
Collect the terms in 8 + 11*l**2 + 0 - 2 + 0.
11*l**2 + 6
Collect the terms in -10*z + 7*z - 78*z.
-81*z
Collect the terms in 0 + 0 - 8*h - 47*h**3.
-47*h**3 - 8*h
Collect the terms in -2*m**2 - 4*m**2 - 5*m**2 - 2*m**2.
-13*m**2
Collect the terms in 224*a**3 - 112*a**3 - 131*a**3.
-19*a**3
Collect the terms in 4*c**3 + 182*c**2 - 325*c**2 - 3*c**3 + 143*c**2.
c**3
Collect the terms in 29 - 64 - 3*m + 35.
-3*m
Collect the terms in -32 - 2*d + 32.
-2*d
Collect the terms in -2 + 5*z + 0 - 4 + 4.
5*z - 2
Collect the terms in 2750*h - 2750*h - 10*h**3.
-10*h**3
Collect the terms in -8 + 7 + 30*l + 4.
30*l + 3
Collect the terms in -4*k**2 + 10*k**2 + 2*k**2.
8*k**2
Collect the terms in 2736*q - 2736*q - 4*q**2.
-4*q**2
Collect the terms in 284*g - 105 + 105.
284*g
Collect the terms in 9*z**2 + 4*z**2 + 9*z**2.
22*z**2
Collect the terms in 6*d**2 - 5*d**2 - d**2 + 4*d**2 - 5*d**2.
-d**2
Collect the terms in 155 - 155 + 5*i**3.
5*i**3
Collect the terms in 1 - 1 - 767*f.
-767*f
Collect the terms in 2 + 11 - 5*t + 8*t.
3*t + 13
Collect the terms in -3*f**2 + 0*f**2 - 6*f - 2*f.
-3*f**2 - 8*f
Collect the terms in 94804 - 94804 + 3*s.
3*s
Collect the terms in 6*d**2 + 11*d**2 - 23*d**2.
-6*d**2
Collect the terms in 16954076*c - 16954076*c - 2*c**3.
-2*c**3
Collect the terms in 10*f - 3*f + 8*f - 5*f.
10*f
Collect the terms in -o**2 - 6*o**2 - 9*o**2.
-16*o**2
Collect the terms in -24*b + 4 + 103*b - 4.
79*b
Collect the terms in 2*h**2 - 2*h**2 + 188*h**3 - 186*h**3.
2*h**3
Collect the terms in -242*c + c**3 + 2*c**3 + 242*c.
3*c**3
Collect the terms in 29*z - 61*z + 33*z + 45*z.
46*z
Collect the terms in -1045*j + 641*j + 405*j.
j
Collect the terms in 42 - 42 + 13*k**2.
13*k**2
Collect the terms in 15 + 12 - 14*y**3 - 27.
-14*y**3
Collect the terms in -6*n**3 - 28*n + 28*n.
-6*n**3
Collect the terms in -229*h + 115*h - 5*h**2 + 114*h.
-5*h**2
Collect the terms in 58 - 24*n + 26*n - 58.
2*n
Collect the terms in 8*s**3 + s**3 - 3*s**3.
6*s**3
Collect the terms in -2 - 17*x + 3 - 1.
-17*x
Collect the terms in 216*v - 113*v - 106*v.
-3*v
Collect the terms in -4 + 48*l - 3 + 7.
48*l
Collect the terms in 0*w - 6 + 2*w + 2 + 2*w.
4*w - 4
Collect the terms in -70*n + 23*n + 21*n + 26*n - 2*n**2.
-2*n**2
Collect the terms in 37*p**3 - 30*p**3 + 77*p**3.
84*p**3
Collect the terms in 251475*d**2 - 251475*d**2 - d**3.
-d**3
Collect the terms in -1 + 5 - 3 + w - 2*w.
-w + 1
Collect the terms in -62*t**3 + 113*t**3 - 69*t**3.
-18*t**3
Collect the terms in -88*i**3 + 189*i**3 - 95*i**3.
6*i**3
Collect the terms in 65 - 7*q**3 - 65.
-7*q**3
Collect the terms in 3278*r**2 + 3270*r**2 - 6552*r**2.
-4*r**2
Collect the terms in 111*j**2 - 36*j**2 - 32*j**2 - 41*j**2.
2*j**2
Collect the terms in 33 - 33 - 413*s**3.
-413*s**3
Collect the terms in 3*o**2 - 98 + 98 - 13*o**3.
-13*o**3 + 3*o**2
Collect the terms in 717 - 8*d**3 - 717 + 10*d**3.
2*d**3
Collect the terms in -36 + 0 - 8*p + 17*p.
9*p - 36
Collect the terms in 2*c**3 - 3*c**3 - 9*c**3 - 20*c**3.
-30*c**3
Collect the terms in -14*v**3 + 4*v**3 + 14*v**3.
4*v**3
Collect the terms in -43*n + 18*n + 7*n**2 + 25*n.
7*n**2
Collect the terms in l + 3111047 - 3111047.
l
Collect the terms in 5 - 4 - 877*l - 1.
-877*l
Collect the terms in 50*b - 50*b - 5*b**3.
-5*b**3
Collect the terms in 454251 + 0*o - 454251 + 0*o - 2*o**2.
-2*o**2
Collect the terms in 51*l**2 - 105*l**2 + 49*l**2 - 4*l.
-5*l**2 - 4*l
Collect the terms in m**2 - m**2 + 2*m**2 + m**2.
3*m**2
Collect the terms in 6*g**3 + 5*g**2 - g**3 + 5*g**3 - 5*g**2.
10*g**3
Collect the terms in -45*b**3 + 51*b**3 - 117*b**3.
-111*b**3
Collect the terms in -12*o**3 + 9*o**2 + 16*o**2 - 25*o**2.
-12*o**3
Collect the terms in -8*a + 23*a - 19*a.
-4*a
Collect the terms in -176*r**3 - 350*r**3 - 182*r**3.
-708*r**3
Collect the terms in 1349*a**3 - 677*a**3 - 685*a**3.
-13*a**3
Collect the terms in -317 + 15*b + 159 + 158.
15*b
Collect the terms in -98*n**2 + 45*n**2 + 51*n**2.
-2*n**2
Collect the terms in -2*z**2 + 2*z**2 + 119*z**3.
119*z**3
Collect the terms in -3*k**3 - 519 + 175 + 170 + 174.
-3*k**3
Collect the terms in -t**2 + 75*t - 75*t.
-t**2
Collect the terms in 70*p**2 - 135*p**2 + 51*p**2.
-14*p**2
Collect the terms in 67*g**3 - 34*g**3 - 34*g**3.
-g**3
Collect the terms in -32*h + 22*h - 6*h - 28*h.
-44*h
Collect the terms in -2*u**3 + 6*u**3 + 2*u**3 + 6*u**3.
12*u**3
Collect the terms in 21*s**2 + 114*s**2 + 21*s**2.
156*s**2
Collect the terms in 908*v + v**2 - 908*v.
v**2
Collect the terms in 2*v - 12*v + 5*v.
-5*v
Collect the terms in -17*o**3 - 10*o**3 - 15*o**3 + 38*o**3.
-4*o**3
Collect the terms in -554*o - 554*o + 21*o**3 + 1108*o.
21*o**3
Collect the terms in 0*q + 2*q - 18*q.
-16*q
Collect the terms in 982 - 247*q**2 - 982.
-247*q**2
Collect the terms in 5*g + 12*g + 7*g + 7*g**2 - 8*g**2.
-g**2 + 24*g
Collect the terms in c**2 + 11*c**2 + 23*c**2.
35*c**2
Collect the terms in -44261*i + 44261*i + 84*i**2.
84*i**2
Collect the terms in -12*t**2 + 3*t**2 - 4*t**3 - t**2 + 6*t**3.
2*t**3 - 10*t**2
Collect the terms in 0*c**2 + c**2 + 6*c**2 - 2*c**2.
5*c**2
Collect the terms in 2*w**2 + 6*w**2 + 6*w**2 - 19*w**2.
-5*w**2
Collect the terms in -1 + 1 - 11696*j**2.
-11696*j**2
Collect the terms in -36775*o + 2*o**3 + 36775*o.
2*o**3
Collect the terms in -15600 + 15600 - 3*k**2.
-3*k**2
Collect the terms in 945*j**2 - 210*j**2 + 315*j**2.
1050*j**2
Collect the terms in -8*b**3 - 22*b + 6*b + 16*b.
-8*b**3
Collect the terms in -2*i + i**2 + 32*i**2 + 13*i**2 + 3*i**2.
49*i**2 - 2*i
Collect the terms in 0*a - 2*a - 27 + 40 - 13.
-2*a
Collect the terms in 108*m - 29*m + 88*m + 9*m - 2.
176*m - 2
Collect the terms in 27*c**2 + 25*c**2 + 24*c**2.
76*c**2
Collect the terms in -n**2 + 30*n - 62*n + 32*n.
-n**2
Collect the terms in -1 - 5 + 5 - 69*y**2.
-69*y**2 - 1
Collect the terms in -q**2 - 18 - 3*q**2 + 18.
-4*q**2
Collect the terms in 5*y**2 - 2659*y + 1331*y + 1328*y - 2*y**2.
3*y**2
Collect the terms in -22*s + 7*s - 12*s.
-27*s
Collect the terms in -9 - 410*d**2 + 16 - 7.
-410*d**2
Collect the terms in -4 + l**2 - l + l**2 + l.
2*l**2 - 4
Collect the terms in -25 + 25 + 83*y - 79*y.
4*y
Collect the terms in 7*j - 7*j**2 - 7*j - 5*j**2.
-12*j**2
Collect the terms in g**3 + 4*g**3 + 6*g**3.
11*g**3
Collect the terms in -2*s**3 + 25223*s + 6 - 25223*s.
-2*s**3 + 6
Collect the terms in 4*z + 120 - 317 + z**2 - 185.
z**2 + 4*z - 382
Collect the terms in 736*x**2 + x + 3*x - 4*x.
736*x**2
Collect the terms in -1216778 - 2*z**2 + 1216778.
-2*z**2
Collect the terms in p**2 + 235*p - 235*p.
p**2
Collect the terms in 0*u - 5*u + 3*u - 157*u**3.
-157*u**3 - 2*u
Collect the terms in -q**3 - 11*q**3 + 89*q**2 + 79*q**2 - 168*q**2.
-12*q**3
Collect the terms in 0*k**2 - 3*k - 2*k**2 - 5*k.
-2*k**2 - 8*k
Collect the terms in -3 - 2*q + q + 24.
-q + 21
Collect the terms in 10*q**2 + 14*q**2 + 5*q**2 - 10*q**2.
19*q**2
Collect the terms in -20 + 2 + 10 + 9 - 13*h.
-13*h + 1
Collect the terms in 37*v + 4 - 4 - 14*v - 21*v.
2*v
Collect the terms in -53*h**2 - 61*h**2 - 56*h**2 + 168*h**2.
-2*h**2
Coll
|
{
"pile_set_name": "DM Mathematics"
}
|
-2*l - 47 = j, 4*j - 5*l - 1392 + 1307 = 0 for j.
-5
Solve 0 = -6*z + 2*z - 165*n + 168*n + 19, 95 = 2*z - 11*n for z.
-2
Solve -28*d + 8 = -20*d, 25*d + 0 - 34 = -2*l + d + 6 for l.
8
Solve -3*d + 317*p + 309*p - 621*p + 132 + 5 = 0, 4*d - p = 41 for d.
4
Solve 19*l - 3*l = -6*q + 2*q - 40, q + 3*l + 9 = 0 for q.
-6
Solve 13*t - 8 = 10*x + 626, -17*t + 20*t + 4 + 2 = 0 for x.
-66
Solve 0 = -3*r + 3*z - 12, 12*r + 116*z - 119*z + 48 = 0 for r.
-4
Solve 4*y - 501 = -2*f - 483, -f = 2*y + 2*f - 19 for y.
2
Solve 3*k - 35 = -620*m + 615*m, -5*k + 5*m - 27 = -12*k + 8 for k.
0
Solve -2*m - 184 = 4*c - 178, -m - 32*c - 2*c = 131 for m.
5
Solve 216*o = 2*u + 251*o - 136, 0 = 2*u + o for u.
-2
Solve 29*d - 27*d = 18*b - 31*b + 45, b + 2*d - 9 = 0 for b.
3
Solve -328*r + 18 = -2*h - 323*r, -85 = 7*h - 23*r for h.
1
Solve 0*t + r = 5*t - 32, 4*t - 44707*r - 329 = -44698*r for t.
-1
Solve -7*c - 7*c - 2*v - 60 = -6*v, 31*c - 3*v + 23 = -23*c + 49*c for c.
-4
Solve 39233*g - 39229*g = -4*v + 48, -14*g + 5*v + 35 = 0 for g.
5
Solve 0 = -5*v + b + 78, 742658*b - 742663*b = -2*v + 22 for v.
16
Solve 0 = 2*c - 4*j + 5997 - 6001, -3*c + 8*j - 16*j = -34 for c.
6
Solve 2895 = -5*i + 5*u + 2595, -4*i + 200 = 4*u for i.
-5
Solve -2018*k + 2024*k - 24 = 0, 3*k = 2*d - 108 for d.
60
Solve -2*n + 19 + 24 + 27 = -3*i - 2*i - 17, 24 = 8*n - 4*n for i.
-15
Solve -3032*k + 3036*k - 8*u + 120 = 0, 0 = 4*k + u + 111 for k.
-28
Solve 0 = 5*n + 7*a + 2, 26*n - 31*n + 28*a = -33 for n.
1
Solve 0 = 7*c - s + 492, -2*c - 167 = -525*s + 530*s for c.
-71
Solve 214*n - 337*n + 5*j = -120*n - 4, 10*n + 5*j = 100 for n.
8
Solve 2*k = -2*r + 58, -164*r + 170*r + 245 = 5*k + 56 for r.
-4
Solve -h + 4630 - 4824 = 49*q, -2*h = -0*q + q for h.
2
Solve 2*f - 3*s - 4*s = f - 5*s, -f - 10*s = 0 for f.
0
Solve 20886*s + 77 = 20881*s + 7*z, 0 = s - 5*z + 55 for s.
0
Solve 0 = j + 3*u + 9, -93*j - 614 = -u - 360 + 583 for j.
-9
Solve 0 = -2*o + 61*g - 307, -5*g - 103 = 5*o - 123 for o.
-1
Solve -5*y + 90 = -3*a, 0 = -109043*a + 109045*a - 5*y + 90 for a.
0
Solve 38*n - 41*n + 54 = -5*r, 4*r - 3 = 6*n - 111 for n.
18
Solve 909263*n = 909261*n - 5*i + 175, 2*n = -26*i + 238 for n.
80
Solve k - 75185*i + 75188*i - 10 = 0, 0 = 8*k + i + 12 for k.
-2
Solve -12*r - 85*u + 105 = -82*u, 5*u - 23 = -r for r.
8
Solve -470*j - 2*r + 1818 = -524, -15*r + 19 = 3*j - 16*r for j.
5
Solve -o - 42 = 18*m, 358*m - 1081*m + 363*m + 364*m - 134 = 2*o - 7*o for m.
-4
Solve -4*u + 2*l + 216 = 0, 2*l - 280 = -15141*u + 15137*u - 48 for u.
56
Solve 0 = -4*a + 3*k + 11, 2426 - 2399 = 13*a - k for a.
2
Solve -2*w + 2 = 3*l, -20*l - 3*w + 2 = -15*l for l.
-2
Solve -4*o + 5*s + 64 = 0, -o + 108*s - 216*s - 23 = -106*s for o.
1
Solve -4*f - 25 = 5*j, 75*j + 23*f - 102 + 407 = 14*j + 25*f for j.
-5
Solve -423 = -47*h + 3*l - 817, h + 9*l - 8*l - 30 = 4*h for h.
-8
Solve 5*v + 0*v + 6 - 32 = 7*u - 12 - 8, 2*u = v - 3 for v.
-3
Solve -3*d - 4603438 + 4603643 = 5*n, -2*n - 3*d = -199 for n.
2
Solve 5*b + 3*l - 100 = 0, b + 20*l = 24*l + 20 for b.
20
Solve -z + 27284*w = 27285*w - 6, 0 = -95*z - 52*z - 2*w + 1027 for z.
7
Solve 5*j + 50 = -3312*r + 3307*r, 3*r + 4*j = -35 for r.
-5
Solve -4*f + p + 9 = 0, 163588*p + 9 = -f + 163586*p for f.
1
Solve -374*r + 3*f - 18 = -377*r, -14*f - 10*f - 126 = -3*r for r.
10
Solve 4*q + 5*o + 148 = -2*o + o + 2*o, 0 = -173*q - 5*o - 5729 for q.
-33
Solve 0 = -2*v + 4*x + 18, -4*v + 243*x + 247*x = 488*x - 24 for v.
5
Solve 2*i + 3*z - 24 = 0, 3075 = -820*i - 5*z + 3115 for i.
0
Solve 2*k + 48 = -4*d - 41 - 13, 3*k = -d - 126 - 17 for d.
-2
Solve 0 = -4*b + 2*w + 42, -781*b = -786*b - 4*w + 46 for b.
10
Solve 36*k - 1452 + 1416 = 0, -2*p = -2*k + 14 for p.
-6
Solve 3*q + 3211*r - 3207*r = -24, 4*r + 160 = -20*q for q.
-8
Solve 3*a - 2*x + 7*x = 15, -3*x + 31 = 2*a + 7 + 13 for a.
10
Solve 1056*v - 530*v - 520*v = -4*n + 72, -5*v + 0*v = -3*n + 16 for v.
4
Solve 400 - 345 = 13*w + 4*f - 587, 202 = 4*w - f for w.
50
Solve t + 2*c - c = -2*c + 1, 0 = 1087*c - 1070*c for t.
1
Solve -16*g + 3*k + 11 = -20*g + 4*k, 41*g + 26*g - k = 178 for g.
3
Solve -3*h - 20*z = 62, 226*h - 227*h - 2*z - 2 = 0 for h.
6
Solve 81*u - 4*z - 104 = -78*u - 438, -6*u - z = -3*u + 2 for u.
-2
Solve -241*v - 9*w - 725 = -8*w, -5*v = 4*w + 12 + 11 for v.
-3
Solve -5*b + a + 28 = 0, -5*b - 10*a + 8 + 11 = -8*a for b.
5
Solve 0*i = -11*b - 2*i - 12 + 190, -3*b - 170 - 147 = -i - 364 for b.
16
Solve 23*u - 15*u + 2*z - 104 = 0, -4*z = -2*u + 26 for u.
13
Solve -13*l = 6*q + 64, -1450*q - 4*l = -1454*q + 8 for q.
-2
Solve -p - p = p - 15, 21*q - 9*q + p = 77 for q.
6
Solve 4*o - m = -131, 2*o + 4*m + 146668 = 8*m + 146130 for o.
1
Solve 3*z - 119 = 13*r, 11*r - 492 = z - 585 for z.
5
Solve -4*s + 5*n - 18 + 1 - 31 = 0, 5*s - 309*n + 133*n = 193*n + 1391 for s.
-17
Solve -5*z + 55*r - 18*r = 35*r - 19, 0 = -z - 4*r - 27 for z.
1
Solve 5*k - 190 = 4*n - 155, 7*k - 40 = -3*k + 2*n for k.
3
Solve -r = x - 28 - 25, -2*r = -53*x + 52*x - 121 for x.
-5
Solve -112*w = 4*z - 264, 4*w + 0 - 17 = -3*z + 19 + 2 for w.
2
Solve 250*v + 12 = 2*l + 246*v, -l + 36*v - 33*v + 8 = 0 for l.
2
Solve 3*r - 18 = 6*d, 9897*r - 36 = -2*d + 9895*r for d.
4
Solve -1 = 8*n - 5*n - 5*j, 14 - 1 = -2*n - 9*j for n.
-2
Solve 4*a = 76*h + 400, -25 = 17*a - 35*a + 15*a + 2*h for a.
5
Solve -3*z = 5*m + 41, 50527*z = -11*m + 50521*z - 83 for m.
-1
Solve 3*k + 2*j = -2*j - 73, k + 7*k - 12*k - 100 = 6*j for k.
-19
Solve -4*v + 8 = -19*w - 1, 6*w - 2*w + 369*v - 368*v = 11 for w.
1
Solve -10971*p + 10975*p + 12*k = -108, k + 81 = -3*p for p.
-27
Solve 20*p - 3*f - 37 = 27*p, 11*p + 50 = -2*f for p.
-4
Solve -47 = a + 2*w, -2*a = 6*w + 11747602 - 11747466 for a.
-5
Solve 0 = 5*z - 5*d - 140, 437*z - 64 = 218*z + 221*z + 3*d for z.
4
Solve -9*b = 5*u - 14, 0 = -5*b + 2*u + 307 - 304 for b.
1
Solve -m - 2*m + 3*y - 8*y - 35 = 0, -35 = -8*m + 5*y for m.
0
Solve -6*l + 28 = 2*m, 5*m + 6556 - 6578 = -3*l for l.
4
Solve 0 = -4*f - 13*m + 10*m - 21 - 34, 5*f - 19 = 3*m for f.
-4
Solve -57*o - 468 = -5*l - 101, 3*o + 4*l + 0*l + 3 = l for o.
-6
Solve -185 = -7*t + 2*n, -58*t - 50*t - 509 = -189*t + 62*t + 2*n for t.
27
Solve -4*f - 3*u = 62, 148*f = 242*f - 151*f - 5*u - 808 for f.
-14
Solve -137750*t - 339 = -137755*t - 4*k, 3*t - 200 = k for t.
67
Solve -25 = -5*a, 14*i + 13*i - 2*a - 2 = 3*i + 36 for i.
2
Solve 129594*m - 129598*m - b + 55 = 0, -4*b - 35 = -m for m.
15
Solve 17*q - 1167 = 3*h, h + 85 = 7*h - 4*h + 6*h + q for h.
2
Solve -105*o + 106*o + 2*q - 10 = 0, -5*q - 227 = -29*o for o.
8
Solve -4359 + 537 = 755*g + c, -2*g - 2*c - 104 = 0 for g.
-5
Solve -4*m + 6*k = -30, -37*m = -4*m - 28*m - 7*k + 2*k - 25 for m.
0
Solve -8*z - 5*p - 154 = 0, 2*z - 3*p + 86635 = 86707 for z.
-3
Solve 6*i = 2*z - 2*z, -5*z - 10*z - 2*i - 3 = -14*z for z.
-3
Solve 2*l + 88 + 86 = -3*t + 9*l, -5*t - 3 = -3*l + 261 for t.
-51
Solve -k + 3*o = k - 128, -3*k + 65*o = 4*o - 2791 for k.
-5
Solve 352*o + 74 = -2*b, 110*o + 4*b + 0*b = 113*o - 148 for o.
0
Solve 973*g + c - 93 = 969*g, -g - 2*c - 12 = -2*g for g.
22
Solve -3*f = 2*x + 9, -10*f + 410919*x - 47 = 410920*x for f.
-5
Solve l + 0*l - b + 46990 = 46977, -l - 26 = -5*b + 43 for l.
1
Solve 3*b + 8 = -2*b + 3*g, b + 3*g = -386 + 370 for b.
-4
Solve 3*y - 2*s = 44, -37*s - 26 = -2*y - 35*s for y.
18
Solve 4*x - 106 = -3542*p + 3548*p, -4*p - 78 = x for x.
-2
Solve -7*y - 19 = 3*f, -39 = -27*f + 20*f + 5*y + 2 for f.
3
Solve 165009 = -5*x + 164944, 0 = m - 3*x - 42 for m.
3
Solve 7*n + 98 = -5*j, -j - 3*j - 8*n + 265 = -9*j + 227 for j.
-14
Solve -34*c + 21 = -3*o - 35*c, 0 = o - 2*c - 0 + 14 for o.
-8
Solve -4*t = -2*n - 230, 893*n = 898*n + t - 41 for n.
-3
Solve 6*y + 23 = y + x, -42*x = 50*y - 45*y - 751 for y.
-1
Solve 1482*m - 527 = -z + 1530*m, -2*z - 3*m = 35 for z.
-1
Solve 5*i + 10 = -b, -3*i - 30 = -319*b + 318*b - 8 + 8 for i.
-5
Solve -2*u = -l - 2*l - 17, -250506*u + 250511*u - 25 = 6*l - l for l.
-7
Solve -3*o = -4*d + 85, d = 11*o + 108 - 56 for d.
19
Solve -4*f + 6*f + 413 = 14*c + 67*c, -4*f - 2*c = 6 for f.
-4
Solve 5*n - 2*y - 100 + 174 = 0, 7*n - 13*n - 592 = -16*y for n.
0
Solve -9*x = -12*m - 27, 20*m - 24*m - 39 = 3*x for m.
-6
Solve 3*k = -2*w - 23, -18*w - k = -25*w - 0*k - 23 for w.
-4
Solve 11
|
{
"pile_set_name": "DM Mathematics"
}
|
(3)
Simplify sqrt(152)/(sqrt(8)*1 - sqrt(8) - sqrt(8) - sqrt(8))*1.
-sqrt(19)/2
Simplify (sqrt(77) + (sqrt(77) - sqrt(77)*2)*-2)/(-4*sqrt(7)*2).
-3*sqrt(11)/8
Simplify 5 + (-3*sqrt(5))**2 + sqrt(80) + -5.
4*sqrt(5) + 45
Simplify 1 + (sqrt(2) + 1 - sqrt(2))*3 + sqrt(32) + 2.
4*sqrt(2) + 6
Simplify -3 + (sqrt(38)/(4*sqrt(18))*4)**2.
-8/9
Simplify 2 + ((-2*sqrt(35))/sqrt(7))**2.
22
Simplify ((sqrt(65)*1 + sqrt(65) + sqrt(65) - sqrt(65))*-2)/(sqrt(10)/sqrt(2)*2).
-2*sqrt(13)
Simplify -4 + (sqrt(13) + (sqrt(26)/sqrt(2))**2 + sqrt(13) - sqrt(13)) + -5.
sqrt(13) + 4
Simplify (sqrt(45)/(-1*sqrt(9)) + 5 - sqrt(10)/(sqrt(32)/sqrt(4)))**2.
-15*sqrt(5) + 145/4
Simplify -4 + (2*-1*sqrt(117) + -5)**2.
60*sqrt(13) + 489
Simplify sqrt(128) + -1 + (sqrt(8) + -1 + 1 - sqrt(8)) + sqrt(8).
-1 + 10*sqrt(2)
Simplify -1*((-2 + (sqrt(51)/sqrt(3) - sqrt(17)) - sqrt(17)) + sqrt(17))**2 + -2.
-6
Simplify (sqrt(128) + -3*(-1 + sqrt(128)) + -2 + -5)**2.
128*sqrt(2) + 528
Simplify 3*5*((sqrt(126)*1)/sqrt(6))/sqrt(3).
15*sqrt(7)
Simplify sqrt(2736) + 0 + sqrt(228)/(sqrt(12) - sqrt(192)) + sqrt(19).
38*sqrt(19)/3
Simplify ((sqrt(130) - sqrt(130)*-3)/sqrt(10) - 3*(sqrt(13) - (-2 + sqrt(13))**2)) + 2.
-11*sqrt(13) + 53
Simplify (sqrt(18) + sqrt(198)/sqrt(99))**2 + ((-3*sqrt(216))/sqrt(12))**2.
194
Simplify 4*sqrt(484)/(sqrt(11) + sqrt(55)/sqrt(5) + sqrt(11)).
8*sqrt(11)/3
Simplify (sqrt(76) - (sqrt(76) - (4*2*sqrt(76) + sqrt(76))) - sqrt(76))/(-5*(sqrt(4) - (sqrt(4) - sqrt(8)/sqrt(2)))).
-8*sqrt(19)/5
Simplify 5*(-4 + -1 + ((sqrt(208))**2 - sqrt(13))).
-5*sqrt(13) + 1015
Simplify 6*(2*(-1 + sqrt(2448))**2 + 1).
-288*sqrt(17) + 29394
Simplify ((sqrt(304)*1 + sqrt(304) - sqrt(304))*1)**2*2.
608
Simplify (sqrt(84) - (sqrt(84) - 2*sqrt(84)*2))/sqrt(12) + 3*-2*sqrt(7) + (sqrt(112)*5)**2.
-2*sqrt(7) + 2800
Simplify (sqrt(68) + -1*sqrt(68))**2*-3.
0
Simplify (sqrt(1500)*3)/(-1*sqrt(320)).
-15*sqrt(3)/4
Simplify (((-1*sqrt(78))/sqrt(2) - sqrt(39))/((sqrt(72)/sqrt(2))/sqrt(12)))**2.
52
Simplify sqrt(80)*-1 - (5 + -2*sqrt(5)).
-5 - 2*sqrt(5)
Simplify (sqrt(216)/(2*sqrt(12)))/sqrt(6).
sqrt(3)/2
Simplify (1*4*sqrt(91))/sqrt(7) + 0.
4*sqrt(13)
Simplify sqrt(216)/sqrt(12) + -5 + -2.
-7 + 3*sqrt(2)
Simplify -5*sqrt(832) - (3 + sqrt(13) + 3).
-41*sqrt(13) - 6
Simplify (sqrt(76) - sqrt(76)*-1)/sqrt(4) + (sqrt(684)*2 - sqrt(684)).
8*sqrt(19)
Simplify -2 + (-1*sqrt(170))/sqrt(10) + 6*sqrt(51)/sqrt(3)*-1.
-7*sqrt(17) - 2
Simplify (((sqrt(252) - sqrt(252)*-1) + sqrt(252))*-2)**2.
9072
Simplify ((0 + sqrt(72) + sqrt(10)/(sqrt(45) + sqrt(5)))*-2)**2.
625/2
Simplify -1*(sqrt(1620) + 0).
-18*sqrt(5)
Simplify (4*(sqrt(175) + 1*sqrt(175) + 5 - (sqrt(175) - -3*(sqrt(175) + 0))))**2.
-1600*sqrt(7) + 11600
Simplify sqrt(30)/(sqrt(6) + sqrt(18)/sqrt(3)*5).
sqrt(5)/6
Simplify (sqrt(1100) + sqrt(1100) + -4 + sqrt(1100))**2 + 1*(sqrt(11) + 3).
-239*sqrt(11) + 9919
Simplify (1*(sqrt(684) + 0 + sqrt(684) + -4 + sqrt(684)))**2*3.
-432*sqrt(19) + 18516
Simplify sqrt(343)*5 + 4.
4 + 35*sqrt(7)
Simplify sqrt(20)*-5 - sqrt(180)/sqrt(4).
-13*sqrt(5)
Simplify (sqrt(19)*1*-6)**2*-3.
-2052
Simplify (sqrt(35)/sqrt(125))**2 - (0 + sqrt(448)).
-8*sqrt(7) + 7/25
Simplify ((-2 + -4 + sqrt(448))*6)**2.
-3456*sqrt(7) + 17424
Simplify sqrt(14)/((sqrt(8) - sqrt(72))/sqrt(4)).
-sqrt(7)/2
Simplify (0 + (sqrt(76) - 5*-2*sqrt(76))/sqrt(4))**2.
2299
Simplify (-1*sqrt(33)*4)/(1*sqrt(75)).
-4*sqrt(11)/5
Simplify (sqrt(5) + 5 + sqrt(5) + 0)*3.
6*sqrt(5) + 15
Simplify 1*(-3 + (sqrt(12)/(sqrt(4)*-2))**2 + sqrt(3)).
-9/4 + sqrt(3)
Simplify (4*sqrt(42)*5)/sqrt(6).
20*sqrt(7)
Simplify ((sqrt(91) - (sqrt(91)*-2 + sqrt(91)))*6)/(sqrt(7) + sqrt(252)*-1).
-12*sqrt(13)/5
Simplify (5*(sqrt(405) + sqrt(405) + 0))**2.
40500
Simplify 0 + (sqrt(250)/sqrt(5) - sqrt(50)).
0
Simplify -4 + 1*(2*sqrt(17) + 5)**2.
20*sqrt(17) + 89
Simplify sqrt(77)/(sqrt(7)*-2)*5.
-5*sqrt(11)/2
Simplify -4*(0 + sqrt(320)).
-32*sqrt(5)
Simplify (1*sqrt(1872) + sqrt(1872))/(-1*sqrt(16) + sqrt(4)).
-12*sqrt(13)
Simplify sqrt(20)/(6*sqrt(4)) + sqrt(15)/sqrt(3) + sqrt(5) + -1.
-1 + 13*sqrt(5)/6
Simplify (4 + sqrt(3))**2*-1*1.
-19 - 8*sqrt(3)
Simplify (-5 + (sqrt(1700) + 0)*-2)**2.
200*sqrt(17) + 6825
Simplify (((sqrt(152) + 2*sqrt(152))/sqrt(4))/sqrt(2))**2.
171
Simplify sqrt(22)/sqrt(11) + 1 - ((sqrt(2) - sqrt(72))*-5)**2.
-1249 + sqrt(2)
Simplify -1*((sqrt(252) - sqrt(63)) + sqrt(63) - (-2 + (sqrt(7) - sqrt(112)))).
-9*sqrt(7) - 2
Simplify -4*3*-5*sqrt(2)*2.
120*sqrt(2)
Simplify ((sqrt(480)/(sqrt(24)/sqrt(3)))/sqrt(12))**2.
5
Simplify (sqrt(208) + -1*sqrt(208) - sqrt(208))/sqrt(4).
-2*sqrt(13)
Simplify sqrt(12) - (1 + sqrt(48)/sqrt(4)).
-1
Simplify ((sqrt(275)/sqrt(176) + sqrt(25))/sqrt(5)*4)**2.
125
Simplify 3 + sqrt(99) + -1.
2 + 3*sqrt(11)
Simplify 3 + ((2 + sqrt(720) + sqrt(720) - sqrt(720)) + sqrt(720))**2 + 3 + 5.
96*sqrt(5) + 2895
Simplify (1 + 2 + (sqrt(2) - (sqrt(8) + 1) - sqrt(2)) + 3)**2.
-20*sqrt(2) + 33
Simplify 5 + (sqrt(128) - (sqrt(128)*1)**2) + sqrt(128) + sqrt(128) + 4 + sqrt(128).
-119 + 32*sqrt(2)
Simplify ((sqrt(10) + (-2*sqrt(10) - sqrt(10)) + sqrt(10))*-6 - sqrt(10))/(sqrt(128) - (sqrt(128) - (sqrt(128) - 2*sqrt(128)))).
-5*sqrt(5)/8
Simplify (5*(sqrt(1700) + -3))**2.
-1500*sqrt(17) + 42725
Simplify sqrt(76)/(sqrt(4) - sqrt(44)/(sqrt(88)/sqrt(8)) - sqrt(4)) + -5.
-5 - sqrt(19)
Simplify (sqrt(38)/sqrt(2))**2*-1*-4.
76
Simplify 6*(sqrt(162) - (sqrt(162) + -1 + sqrt(162))**2).
-3894 + 270*sqrt(2)
Simplify (sqrt(35) + sqrt(140)/sqrt(4))/sqrt(7)*-3.
-6*sqrt(5)
Simplify (2*sqrt(27)*2)**2.
432
Simplify -4*(5*-1*sqrt(84))/sqrt(12).
20*sqrt(7)
Simplify (3 + sqrt(52))**2 + sqrt(52)/(-1*sqrt(4)).
11*sqrt(13) + 61
Simplify ((0 + sqrt(304) + -3 - ((sqrt(304) - 1*sqrt(304)) + 2 - sqrt(304))) + -2)**2.
-112*sqrt(19) + 1265
Simplify (sqrt(187) - sqrt(187)*1 - sqrt(187))/sqrt(11) - (5*(3 + sqrt(17)))**2.
-650 - 151*sqrt(17)
Simplify sqrt(187)/(-4*sqrt(11)) - (sqrt(2057) + 3)**2.
-2066 - 265*sqrt(17)/4
Simplify (sqrt(1300)*6 + 5 - sqrt(1300) - sqrt(1300))**2 + -1.
400*sqrt(13) + 20824
Simplify (5 + 1 + sqrt(684) + (sqrt(684) - 2*sqrt(684))*3)**2.
-144*sqrt(19) + 2772
Simplify sqrt(39)/(sqrt(18)/(sqrt(12)/sqrt(2) + sqrt(6))).
2*sqrt(13)
Simplify (sqrt(288) - -1*sqrt(288)) + -2.
-2 + 24*sqrt(2)
Simplify (sqrt(65) + sqrt(65)*3)/sqrt(5) + -1.
-1 + 4*sqrt(13)
Simplify ((1*sqrt(143) + sqrt(143))*-3)/((sqrt(22) + sqrt(44)/sqrt(2))/sqrt(2)).
-3*sqrt(13)
Simplify (-2*(sqrt(13) + 0)*5)**2.
1300
Simplify (5*(-2 + -4*-1*sqrt(2)))**2 + -4.
-400*sqrt(2) + 896
Simplify (4 + (-3 + sqrt(50) - (2*sqrt(288) + sqrt(288) - sqrt(2))))**2.
-60*sqrt(2) + 1801
Simplify (sqrt(315) - (sqrt(315) + (sqrt(315) + 1*sqrt(315))*-4 + sqrt(315) - sqrt(315)))/sqrt(5) + 4.
4 + 24*sqrt(7)
Simplify (sqrt(133) - (sqrt(133) + (sqrt(133)*-1 + sqrt(133) + sqrt(133) - sqrt(133) - sqrt(133))*3 + sqrt(133) + sqrt(133)))/(1*(sqrt(7) + sqrt(35)/sqrt(5))).
sqrt(19)/2
Simplify sqrt(19) + -2 + sqrt(19) + 4 + 4 + -3.
3 + 2*sqrt(19)
Simplify 2 + 6*(1 + sqrt(5)).
8 + 6*sqrt(5)
Simplify -1*(sqrt(153) + -1).
-3*sqrt(17) + 1
Simplify (-1 + -1 + sqrt(33)/sqrt(3) + 0)*4.
-8 + 4*sqrt(11)
Simplify (-2 + sqrt(468) + 2 + 3)*-6.
-36*sqrt(13) - 18
Simplify -5*(1*sqrt(119) - sqrt(119))/sqrt(7)*5.
0
Simplify (sqrt(102)*2*6)/sqrt(6).
12*sqrt(17)
Simplify 6*(-3 + 2*sqrt(272)*-6).
-288*sqrt(17) - 18
Simplify ((sqrt(3584) + sqrt(3584)*-1 + sqrt(3584) - sqrt(3584)) + sqrt(3584) - sqrt(3584))/sqrt(8).
0
Simplify 4 + 1 + sqrt(847).
5 + 11*sqrt(7)
Simplify (3*(sqrt(76) + (sqrt(76) - sqrt(76)*-2 - sqrt(76)) + sqrt(76) + sqrt(76)))/(sqrt(484)*-1).
-15*sqrt(19)/11
Simplify (-2 + (0 + sqrt(567))**2)*6.
3390
Simplify 2 + sqrt(112) + 1 + sqrt(28)/sqrt(4) + sqrt(7).
3 + 6*sqrt(7)
Simplify ((sqrt(684) + 3*sqrt(684))**2 + sqrt(684))*3.
18*sqrt(19) + 32832
Simplify (2*sqrt(448)*2)**2.
7168
Simplify -3 + -1*sqrt(1573) + -2.
-11*sqrt(13) - 5
Simplify 5 + 2*((sqrt(363)*-3)**2 + sqrt(3)).
2*sqrt(3) + 6539
Simplify ((sqrt(17) + 0)*-3 - (sqrt(17) + sqrt(51)/sqrt(48)))**2 - (5*(sqrt(2448) - sqrt(2448)*-1 - sqrt(2448)))**2.
-974287/16
Simplify 1*(sqrt(637)*3)**2*3.
17199
Simplify (sqrt(1872)*2)**2 - 6*sqrt(117).
-18*sqrt(13) + 7488
Simplify -5*(sqrt(5) - (-4 + sqrt(10)/sqrt(2))) + (-3 + sqrt(5) + sqrt(5) + -1 - (0 + sqrt(20))).
-24
Simplify (sqrt(605)*-1*5 -
|
{
"pile_set_name": "DM Mathematics"
}
|
er of 1/9, to the nearest integer?
6
What is the square root of 4197225 to the nearest integer?
2049
What is 451496 to the power of 1/6, to the nearest integer?
9
What is 797865 to the power of 1/2, to the nearest integer?
893
What is 2490481 to the power of 1/2, to the nearest integer?
1578
What is the square root of 8923703 to the nearest integer?
2987
What is the cube root of 94020 to the nearest integer?
45
What is the cube root of 6426095 to the nearest integer?
186
What is the cube root of 2975723 to the nearest integer?
144
What is 237926 to the power of 1/2, to the nearest integer?
488
What is 27651316 to the power of 1/9, to the nearest integer?
7
What is the eighth root of 7728850 to the nearest integer?
7
What is the cube root of 44866 to the nearest integer?
36
What is the cube root of 1733329 to the nearest integer?
120
What is the cube root of 105829 to the nearest integer?
47
What is 239694 to the power of 1/2, to the nearest integer?
490
What is the seventh root of 1062026 to the nearest integer?
7
What is 604604 to the power of 1/6, to the nearest integer?
9
What is the square root of 1031601 to the nearest integer?
1016
What is the seventh root of 7430769 to the nearest integer?
10
What is the seventh root of 2428266 to the nearest integer?
8
What is the eighth root of 993425 to the nearest integer?
6
What is 401384 to the power of 1/6, to the nearest integer?
9
What is the third root of 3246562 to the nearest integer?
148
What is 3528080 to the power of 1/10, to the nearest integer?
5
What is the ninth root of 581607 to the nearest integer?
4
What is 3031643 to the power of 1/2, to the nearest integer?
1741
What is 2638143 to the power of 1/8, to the nearest integer?
6
What is 17221279 to the power of 1/2, to the nearest integer?
4150
What is 9951565 to the power of 1/4, to the nearest integer?
56
What is the sixth root of 192806 to the nearest integer?
8
What is the cube root of 57159 to the nearest integer?
39
What is 688399 to the power of 1/2, to the nearest integer?
830
What is the third root of 39531233 to the nearest integer?
341
What is the third root of 10841 to the nearest integer?
22
What is 15554891 to the power of 1/2, to the nearest integer?
3944
What is 1249572 to the power of 1/2, to the nearest integer?
1118
What is 8597519 to the power of 1/6, to the nearest integer?
14
What is the eighth root of 12571338 to the nearest integer?
8
What is 629823 to the power of 1/10, to the nearest integer?
4
What is the cube root of 2480555 to the nearest integer?
135
What is the seventh root of 519879 to the nearest integer?
7
What is 3613839 to the power of 1/8, to the nearest integer?
7
What is the third root of 1183811 to the nearest integer?
106
What is the third root of 90700 to the nearest integer?
45
What is the square root of 3593635 to the nearest integer?
1896
What is 468379 to the power of 1/2, to the nearest integer?
684
What is the cube root of 3042373 to the nearest integer?
145
What is the seventh root of 1773447 to the nearest integer?
8
What is the square root of 10776201 to the nearest integer?
3283
What is the third root of 2130811 to the nearest integer?
129
What is the eighth root of 642246 to the nearest integer?
5
What is the eighth root of 780633 to the nearest integer?
5
What is the square root of 831029 to the nearest integer?
912
What is 210840 to the power of 1/3, to the nearest integer?
60
What is the square root of 2836 to the nearest integer?
53
What is 1343843 to the power of 1/3, to the nearest integer?
110
What is the fifth root of 2636877 to the nearest integer?
19
What is the square root of 167136 to the nearest integer?
409
What is the third root of 997094 to the nearest integer?
100
What is the square root of 3706284 to the nearest integer?
1925
What is 2250857 to the power of 1/2, to the nearest integer?
1500
What is 20538040 to the power of 1/2, to the nearest integer?
4532
What is the eighth root of 5967087 to the nearest integer?
7
What is the fifth root of 10694668 to the nearest integer?
25
What is 644813 to the power of 1/2, to the nearest integer?
803
What is the third root of 542280 to the nearest integer?
82
What is 365318 to the power of 1/4, to the nearest integer?
25
What is the square root of 527467 to the nearest integer?
726
What is 200915 to the power of 1/2, to the nearest integer?
448
What is the ninth root of 498407 to the nearest integer?
4
What is 466699 to the power of 1/3, to the nearest integer?
78
What is 83570 to the power of 1/10, to the nearest integer?
3
What is 1491603 to the power of 1/2, to the nearest integer?
1221
What is 2012383 to the power of 1/2, to the nearest integer?
1419
What is 1281207 to the power of 1/4, to the nearest integer?
34
What is 401286 to the power of 1/6, to the nearest integer?
9
What is the sixth root of 729861 to the nearest integer?
9
What is 3203169 to the power of 1/7, to the nearest integer?
8
What is 12968091 to the power of 1/8, to the nearest integer?
8
What is the cube root of 1605282 to the nearest integer?
117
What is 10392338 to the power of 1/4, to the nearest integer?
57
What is 4602888 to the power of 1/5, to the nearest integer?
22
What is the square root of 268525 to the nearest integer?
518
What is 745775 to the power of 1/10, to the nearest integer?
4
What is 93543 to the power of 1/2, to the nearest integer?
306
What is the cube root of 389620 to the nearest integer?
73
What is the ninth root of 274242 to the nearest integer?
4
What is the square root of 2167928 to the nearest integer?
1472
What is 1792832 to the power of 1/5, to the nearest integer?
18
What is 1031250 to the power of 1/3, to the nearest integer?
101
What is the eighth root of 5182185 to the nearest integer?
7
What is the square root of 646469 to the nearest integer?
804
What is the square root of 3631255 to the nearest integer?
1906
What is the square root of 19341950 to the nearest integer?
4398
What is 8158339 to the power of 1/3, to the nearest integer?
201
What is the eighth root of 194932 to the nearest integer?
5
What is 294156 to the power of 1/2, to the nearest integer?
542
What is 3073485 to the power of 1/7, to the nearest integer?
8
What is 10796 to the power of 1/2, to the nearest integer?
104
What is 312910 to the power of 1/7, to the nearest integer?
6
What is 220586 to the power of 1/3, to the nearest integer?
60
What is 4186463 to the power of 1/2, to the nearest integer?
2046
What is 784290 to the power of 1/2, to the nearest integer?
886
What is the fifth root of 5256386 to the nearest integer?
22
What is 468902 to the power of 1/2, to the nearest integer?
685
What is the square root of 1610413 to the nearest integer?
1269
What is the cube root of 78451 to the nearest integer?
43
What is 162156 to the power of 1/4, to the nearest integer?
20
What is the square root of 12665164 to the nearest integer?
3559
What is 5791771 to the power of 1/10, to the nearest integer?
5
What is the cube root of 1817410 to the nearest integer?
122
What is the seventh root of 205401 to the nearest integer?
6
What is 482285 to the power of 1/2, to the nearest integer?
694
What is the sixth root of 3645099 to the nearest integer?
12
What is 881565 to the power of 1/7, to the nearest integer?
7
What is the square root of 13946981 to the nearest integer?
3735
What is the cube root of 15280143 to the nearest integer?
248
What is the square root of 7592443 to the nearest integer?
2755
What is 29397969 to the power of 1/8, to the nearest integer?
9
What is the fifth root of 561204 to the nearest integer?
14
What is the cube root of 461956 to the nearest integer?
77
What is 18140009 to the power of 1/7, to the nearest integer?
11
What is the third root of 3842617 to the nearest integer?
157
What is 34644864 to the power of 1/2, to the nearest integer?
5886
What is 920195 to the power of 1/8, to the nearest integer?
6
What is the cube root of 4283877 to the nearest integer?
162
What is 2035018 to the power of 1/8, to the nearest integer?
6
What is 462334 to the power of 1/3, to the nearest integer?
77
What is 172723 to the power of 1/3, to the nearest integer?
56
What is 1659 to the power of 1/2, to the nearest integer?
41
What is the third root
|
{
"pile_set_name": "DM Mathematics"
}
|
-9835 + 9859. Calculate the smallest common multiple of 480 and j.
480
Let f(d) = d**3 - d**2 - 5*d + 9. What is the least common multiple of 14*(9/15 + (-108)/(-420)) and f(3)?
12
What is the common denominator of 49/810 and ((-5)/((-1050)/12))/((-1044)/(-4727))?
5670
Suppose -b + 35 = c, 4*c + 45 = -3*b + 185. Let q = 504 - 364. What is the least common multiple of q and c?
140
Suppose r + 0*r = -2*v + 43828, -2*v + 43828 = -4*r. Let p = 34777517/1587 - v. Let d = p + -147589/3174. Calculate the common denominator of 23/10 and d.
10
Calculate the common denominator of 12/((-100800)/3610) - (-3)/(-5) and 45/1274.
15288
Let p = -63 + -490. Let q = p - -1075/2. Let c = -95/18 + 208/9. What is the common denominator of q and c?
6
Let v be (11 + 0 + 1)*7/28. Let p = -14781/3934 - 8/281. Calculate the common denominator of 57/(-12)*v/15 and p.
140
Let a = -144059 - -234383975/1627. Let c = a + 17491/3198682. Calculate the common denominator of 25/12 and c.
11796
Let f = 54/1579 - 147555/574756. Find the common denominator of -9/77 and f.
4004
Suppose -10*d = 60 - 190. Find the common denominator of -143/6 and ((9516/(-8))/d)/(-6).
12
Let r(v) = v**3 - 52*v**2 + 93*v + 390. What is the lowest common multiple of r(50) and 890?
3560
Suppose 2*g = -3*b + 708, b + 3*g - 236 = -g. What is the lowest common multiple of b and ((-9)/(-2) - 5)/(7 - 339/48)?
472
Let y(c) = c + 29. Let k = 77 + -85. Let r be k + 1 + (-5)/(-25)*0. Calculate the lowest common multiple of 66 and y(r).
66
Let w = -143 - -273. Suppose 2*f + 12 = 0, -d = 1811*f - 1807*f - 21. What is the least common multiple of w and d?
1170
Let s = 701 - 774574/1105. Find the common denominator of -71/26 and s.
2210
Let t = -3781974/2669 - -1417. Let s = t + 136160/109429. What is the common denominator of -7/10 and s?
410
Let s = 40088/15 - 2672. Let l = -47767/4854 + 6/809. Calculate the common denominator of l and s.
30
Let b(m) = -m**2 + m + 40. Let a be b(0). Let k = a - 34. What is the common denominator of (k - 3)*484/(-240) and -31/50?
100
Suppose 0 = u - 4*k - 13, 3*u = -2*u + k + 8. Suppose c - 8*s = -29, -3*c - 79 + 106 = -5*s. What is the lowest common multiple of u and c?
19
Suppose 0 = 34*c - 68 - 34. What is the least common multiple of c and 29?
87
Let j(h) = -6*h**3 - 5*h**2 + 10*h + 23. Let n be j(-3). Suppose 124 = a + n. Calculate the smallest common multiple of 238 and a.
238
Let z be (-18370)/78 - (13 + -19). Let h = -229 - z. What is the common denominator of h and -64/39?
39
Let y = 13734241/169884 + -9778/121. What is the common denominator of y and 23/1404?
1404
Let b(t) = -7*t - 2. Let u be b(22). Find the common denominator of 91/2 and 6/2*u/(-56).
14
Let c = 21877 - 393907/18. Calculate the common denominator of 11/18 and c.
18
Let h(j) = 7*j**3 + 3*j**2 - 47*j + 231. Calculate the smallest common multiple of 430 and h(5).
4730
Let w = 186389/3135 + -34/627. Let d = w + -60. Calculate the common denominator of d and 3/1 + (-8 - 369/(-60)).
20
Let w(n) = -38162*n + 16. Let v be w(-6). Let x be -2 - (v/48 - -4). Let t = x + 4781. What is the common denominator of -38/5 and t?
60
Let q = 1566 - 1559. Calculate the least common multiple of 2750 and q.
19250
Let x = -62405/18 - -3468. Let p = -44188 - -2651123/60. What is the common denominator of p and x?
180
Suppose -4*z + p = -74, 2*z = -5*p + 3 + 23. Suppose 23*w - z*w - 140 = 0. Calculate the least common multiple of 10 and w.
140
Suppose 0 = -2*o + 2*b + 2278, -2*o - 3*b + 26 + 2277 = 0. What is the lowest common multiple of o and 2184?
24024
Let d be (-165)/9 + (-8)/(-6). Let c = 41 + d. Find the common denominator of (-347)/312 + c/156 and -4/3.
24
Let c be (-530390)/103740 + (-4)/38. Let a = 86/13 - c. Calculate the common denominator of -1*2/20 - 0 and a.
30
Let m(h) = -3*h. Let x(b) = -b + 1. Let g(o) = -2*o**2 + 18*o - 11. Let q be g(8). Let l be x(q). Calculate the lowest common multiple of m(l) and 24.
24
Suppose 0 = -2*j - 4*t - 8, -66*j - 16*t = -13*t - 1026. What is the smallest common multiple of (1 - 0 - 3)*-10 and j?
80
Suppose 2*i = 97 - 73. Let l = -163117/15 + 10880. Calculate the common denominator of (-167)/8*i/45 and l.
30
Let x = -19052 - -37747. Let d = x - 224189/12. Find the common denominator of d and -11/9.
36
Let g = -10773/8 - -1341. Find the common denominator of g and 3*-2 - (-3182)/481.
104
Suppose 10*z - 693 = -11*z. Calculate the smallest common multiple of (-8)/(-1) - (195/(-15) - -12) and z.
99
Calculate the smallest common multiple of ((-27)/18)/((-91)/23270) + (-6)/(-14) and 12.
384
Let l(d) = -d**2 + 21*d + 24. Let p be l(-3). Let w be (-2)/(-6) + 242/3. Let a = w + p. What is the least common multiple of a and 30?
330
Let o = 743469 + -904058373/1216. Find the common denominator of o and -121/1368.
10944
Let x(n) be the first derivative of 5*n**3/3 + 31*n**2/2 - n - 57. What is the smallest common multiple of 11 and x(-8)?
781
Let f = -1/1129 - -4717/226929. Find the common denominator of f and 44/63.
4221
Let c = 875/120132 - -6512608813/300330. Let u = 21690 - c. Find the common denominator of 9/5 and u.
20
Let o(l) = 9*l**3 + 26*l**2 + 19*l + 73. Calculate the smallest common multiple of o(-3) and 3390.
23730
Let z(t) = t**3 + 9*t**2 - 32*t - 9. Let s(n) = n**3 + 10*n**2 - 32*n - 9. Let v(q) = -3*s(q) + 4*z(q). What is the least common multiple of v(-9) and 36?
36
What is the lowest common multiple of 75 and -17 + (-17 - -13) + 339?
7950
Let j = 624329951 - 7497202133/12. Let k = j - -437172. Let c = -276 + k. Find the common denominator of -17/108 and c.
108
Suppose -l + 4*t = -40, -4*l + t + 160 = -0*t. Let c = -34 + l. What is the lowest common multiple of 6 and (c/7)/((-5)/(-35))?
6
Let w(u) = 5*u**3 - 4*u**2 - u + 4. Let l be w(-2). Let p = 71 + l. What is the smallest common multiple of 18 and p?
126
Suppose 8*x + 103 = 103. Suppose 4*n + 36 - 116 = x. Let g = 9 + 9. What is the lowest common multiple of g and n?
180
Let v be (88 - 93) + 2049 + 1. What is the common denominator of -133/12 and v/1350 - -4*(-5)/(-25)?
108
Suppose 0 = -2*u - 156 - 1012. Let l = u + 1239/2. Find the common denominator of 39/2 and l.
2
Let t = 647/2 + -335. Suppose -22*k + 26*k + 12144 = 0. Find the common denominator of (1/15*1)/((-176)/k) and t.
20
Let y(v) = v**3 - 4*v**2 - 9. Let f be y(5). Let j = f - -98. Calculate the least common multiple of 15 and j.
570
Let g = -228242/9 - -25356. What is the common denominator of 37/(-36) - (-1)/(-3) and g?
36
Let o = 841/212 + -38/53. Let v = 188 - 775/4. Calculate the common denominator of o and v.
4
Calculate the least common multiple of 99 and 21400/24 - (-12)/(-18).
891
Let l = 37 + -30. Suppose 0 = -3*m + l*m - 24. Suppose 3 + 3 = v. What is the smallest common multiple of m and v?
6
Let r(k) = -3*k - 56. Let f be r(-19). Let i be (-1 + f - (4 + -2)) + -6. What is the lowest common multiple of (12/i)/1*112/(-12) and 106?
742
Let j = 4/22879 - -1532689/1166829. What is the common denominator of j and ((-28727)/(-336))/23 - (-48)/256?
357
Suppose -5*a + 7 = -x - 29, -4*a - 5*x = -52. Let f = -216 - -220. Calculate the lowest common multiple of a and f.
8
Let q(m) = -5*m - 4*m - 116 + 26 - 8*m + 23*m. What is the lowest common multiple of q(16) and 1*1/(-2)*-38?
114
Suppose 3*n = -6*n + 189. Suppose -2*k - c - 3*c = -6, c + n = 2*k. Calculate the lowest common multiple of k and 3.
9
Suppose 3*c - 32*u = -36*u + 7428, -u = -4*c + 9904. What is the least common multiple of 22 and c?
27236
Let q(l) = 66*l**2 - 66*l + 378. What is the lowest common multiple of 8 and q(6)?
9432
Let c = -32715149/3140652 + 2/261721. Let f(n) = -3*n**2 + 2*n + 1. Let q be f(-2). What is the common denominator of (q + 1)*(-22)/120 and c?
60
Let l = 16 - 22. Let y be (l/(-4) - 9/(-18))*-2. Calculate the lowest common multiple of 12 and 8 + y + 0/1.
12
Let c = 66770/37949 + -129628526333/1821552. Let g = 71165 + c. Find the common denominator of -9/8 and g.
48
Let a(c) = -4*c**3 + 2*c**3 - 9*c**2 - 5 + 7 + 12*c + 7. Let l be a(-9). Calculate the common denominator of -63/10 and 6/(-27) - (-761)/l.
70
Suppose c = 4*c - 255. Suppose -4*n + 14 = -3*q, -2*q + 938*n = 934*n + 20. What is the least common multiple of c and q?
510
Suppose 3*j = -4*t - 97550, -4*t + 3*j = -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ x**2/2 - 2*x. What is g(i) - 2*u(i)?
-3*i**3 + i
Let l(a) = 5*a**3 - 5*a + 7. Let p(m) = -11*m**3 + 11*m - 15. Let f(x) = -13*l(x) - 6*p(x). Let k(h) = 2 - h + 4*h - h. Give -2*f(s) - k(s).
-2*s**3
Suppose 0 = -u - c + 5, 23 - 7 = 4*c. Let f(o) = -u + 19*o - 44*o + 26*o. Let p(s) = 3*s - 3. Calculate -7*f(b) + 3*p(b).
2*b - 2
Suppose -3*w = -2*a + 15 + 1, -5*a - 3*w = 2. Let k(b) = -b + b + 2*b - 4*b**a. Let s(z) = z**3 + 9*z**2 - 5*z + 1. Calculate 5*k(c) + 2*s(c).
2*c**3 - 2*c**2 + 2
Let v(c) = 1. Let y(q) = -2*q**2 - 1. Calculate -2*v(r) - 2*y(r).
4*r**2
Let k(w) = w**2 - w. Let q(u) = -u. Determine 4*k(s) - 4*q(s).
4*s**2
Let u(d) = -5*d**3 - 6*d**2 - 6*d + 6. Let a(f) = -44*f**3 - 55*f**2 - 55*f + 55. Calculate -6*a(x) + 55*u(x).
-11*x**3
Let v(m) = 3*m + 5. Let x(r) = 4*r + 6. Let c(h) = -6*v(h) + 5*x(h). Let w be c(2). Let g(y) = -2*y + 7. Let a(i) = i - 3. What is w*g(t) + 10*a(t)?
2*t - 2
Let s(j) = -j**3 + j - 1. Let c(a) = -5*a**3 + 2*a - 2. Determine -2*c(v) + 4*s(v).
6*v**3
Let x(q) = q**3 + q**2 + q + 1. Let o(b) = -43*b**3 + b**2 + b + 1. Give o(j) - x(j).
-44*j**3
Let f(j) = -j**2 + j. Let h(l) = -5*l**2 + 4*l. Calculate 6*f(a) - h(a).
-a**2 + 2*a
Let f(b) = b. Let i(k) = -k + 1. Give -6*f(m) - i(m).
-5*m - 1
Let b(a) = -8*a**2 + 5*a + 6. Let j(i) = -i**2 + i + 1. Let q(f) = -f**3 - f**2 - f - 3. Let o be q(0). Let d = -9 - o. Calculate d*j(n) + b(n).
-2*n**2 - n
Let x(k) = 5*k**2 - k - 12. Let f(g) = 11*g**2 - 2*g - 25. Calculate -4*f(u) + 9*x(u).
u**2 - u - 8
Suppose 2*h + 4*b = 8, 2*h = h + b - 8. Let j(k) = -3*k**3 + 4*k**2 - 2*k. Suppose 5*f + 14 = -11. Let n(o) = 2*o**3 - 3*o**2 + 2*o. What is f*n(r) + h*j(r)?
2*r**3 - r**2 - 2*r
Let o(t) = t. Let x = -1 + 0. Let h(r) = 1. Let k(i) = x*h(i) + o(i). Suppose -17*w + 14*w + 3 = 0. Let b(m) = -3*m + 4. Give w*b(a) + 4*k(a).
a
Let m = 94 + -98. Let k(s) = -4*s + 3. Let q(b) = -4*b + 4. Give m*k(j) + 3*q(j).
4*j
Let x(k) = k**2 + 2*k + 7. Let s(g) = -g**2 - 2*g - 6. Determine 5*s(z) + 4*x(z).
-z**2 - 2*z - 2
Let o(i) be the third derivative of -i**5/15 - i**4/12 + i**2. Let z(q) be the first derivative of -5*q**3/3 - 3*q**2/2 + 7. Calculate -3*o(y) + 2*z(y).
2*y**2
Let i(m) = 14*m + 1. Let n(f) = 13*f + 1. Determine 4*i(u) - 3*n(u).
17*u + 1
Let f(r) = 13*r**3 + 7*r**2 - 7. Let y(g) = 4*g**3 - 3*g**2 - 5*g - 2. Let c(j) = 4*j**3 - 2*j**2 - 4*j - 2. Let w(u) = -5*c(u) + 4*y(u). Give -2*f(a) - 7*w(a).
2*a**3
Let k(t) = -6*t**3 + 10*t**2 + 11*t - 8. Let r(z) = -2*z**3 + 3*z**2 + 4*z - 3. What is 3*k(w) - 8*r(w)?
-2*w**3 + 6*w**2 + w
Let v(q) = -6*q - 34. Let b(a) = a + 7. What is -16*b(f) - 3*v(f)?
2*f - 10
Let m(i) = 3*i**3 + 4*i**2 - 4. Let t(c) = 0*c + 15*c**3 + 2*c**2 + 0*c + 19*c**2 - 21. What is 21*m(q) - 4*t(q)?
3*q**3
Let j(y) = 23*y + 2. Let q(n) = 45*n + 4. Calculate 5*j(x) - 2*q(x).
25*x + 2
Let x(u) = 5*u**2 - 2*u + 10. Let v(c) = -2*c**2 + c - 3. Give 8*v(m) + 3*x(m).
-m**2 + 2*m + 6
Let n(z) = -z**2 - z. Let k(b) = -3*b**2 - 2*b - 3. Let j(r) = -k(r) + 2*n(r). Let a = 11 - 6. Let u(s) = -2 + 4*s - 2*s**2 - 4*s - 3. Give a*j(v) + 3*u(v).
-v**2
Let o(z) = -4*z**3 + 18*z**2 + 6*z + 6. Let c(v) = -3*v**3 + 17*v**2 + 5*v + 5. Give -6*c(l) + 5*o(l).
-2*l**3 - 12*l**2
Let p(s) = 5*s + s - 3*s - 1. Let o(v) be the first derivative of -v**3/3 + 2*v**2 - v - 77. Give -2*o(i) + 3*p(i).
2*i**2 + i - 1
Let f(d) be the third derivative of -d**4/6 - 35*d**2. Let n(u) = -u. Let j(k) = -k**3 - 2*k**2 - 2*k + 1. Let y be j(-2). What is y*n(v) - f(v)?
-v
Let p(n) = n**2 + 2*n + 1. Let i(a) = a. What is 4*i(b) + p(b)?
b**2 + 6*b + 1
Let z(j) = 10*j**2. Let q(i) = -20*i**2 + i. What is 3*q(t) + 5*z(t)?
-10*t**2 + 3*t
Let j(l) = 5*l**2 + 3*l - 5. Let c(u) = -26*u**2 - 16*u + 26. Suppose 0 = -4*k - 0*k + 64. Calculate k*j(t) + 3*c(t).
2*t**2 - 2
Suppose 18 = 8*z - 6. Let c(s) = -5*s. Let x(f) = -16*f. Determine z*x(p) - 10*c(p).
2*p
Let x(a) = -13*a**2 - 6*a - 13. Let j = -15 - -13. Let o(g) = 3*g**2 + 6 - 2 + g**2 + 2*g. Calculate j*x(m) - 7*o(m).
-2*m**2 - 2*m - 2
Let j(r) = -r**2 - 5*r - 4. Let p(l) = 2*l**2 + 5*l + 5. Give -3*j(b) - 2*p(b).
-b**2 + 5*b + 2
Let w(k) = -k - 3. Let u(r) = 1. Determine -2*u(a) - w(a).
a + 1
Let w(g) = 9*g - 10. Let u(k) = 14*k - 15. What is 5*u(f) - 8*w(f)?
-2*f + 5
Let b be 0 - ((-27)/3)/1. Let a(l) = 4*l**2 - 8*l - 5. Let d(h) = h**2 - 2*h - 1. Suppose 4 + 6 = -5*q. What is b*d(g) + q*a(g)?
g**2 - 2*g + 1
Let m(k) = -2*k**3 - 5*k**2 - 5. Suppose -r - 2 = -u + 4, -10 = 5*r. Let h = 10 - u. Let d(c) = 2*c**3 + 6*c**2 + 6. Give h*m(g) + 5*d(g).
-2*g**3
Let x(q) = 15 - 17*q + 12*q - 22*q. Let d(z) = 7*z - 4. Let u be (20/8)/(3 + (-19)/6). Give u*d(v) - 4*x(v).
3*v
Let m(a) = a**2 + a. Suppose 0 = -j + 3, 5*f - 3*j - 4 = -j. Let k be (-27)/21 - 4/(-14). Let y = f - k. Let c(b) = -2*b**3 - 2*b**2 - 3*b. Give y*m(n) + c(n).
-2*n**3 + n**2
Let t(f) = -f**3. Let o(q) = -14*q**3 - 4*q. Give -o(y) + 6*t(y).
8*y**3 + 4*y
Let k(h) = -h**2 + 1. Let f(x) be the first derivative of x**4/4 + x**3/3 - x - 20. Calculate 2*f(w) + 2*k(w).
2*w**3
Let c(v) = -v + 3. Let p(s) = -1. Give -c(t) + 3*p(t).
t - 6
Let r be 3/18 + 0 + 74/(-12). Let p(i) = -i**3 + 5*i. Let q(f) = -f**3 + 6*f. What is r*p(u) + 5*q(u)?
u**3
Let a(v) = v**2 + v**2 - 2 - 5*v - 3*v**3 + 2*v. Let z(u) = -u**3 + u**2 - u - 1. Let i = 1 + 0. Calculate i*a(o) - 2*z(o).
-o**3 - o
Let a(w) = -12*w**2 + 7*w - 6. Let t(g) = -13*g**2 + 8*g - 7. Calculate -6*a(m) + 5*t(m).
7*m**2 - 2*m + 1
Let f(p) = -p - 1. Let d(g) = -g**2 - 5. Calculate -d(u) + 3*f(u).
u**2 - 3*u + 2
Let w(p) = -11*p**2 - p + 2. Let i(a) = -10*a**2 - a + 1. Determine -3*i(d) + 2*w(d).
8*d**2 + d + 1
Let n(c) = -2*c. Let m(k) = k. What is 8*m(o) + 3*n(o)?
2*o
Let o(r) = -8*r**2 - 5*r + 4. Let a(d) = 17*d**2 + 11*d - 9. Suppose -6*h = -9 - 15. What is h*a(g) + 9*o(g)?
-4*g**2 - g
Let h(f) = 8*f**3 - 8*f**2 - 9*f - 9. Let o(m) = m**3 - m**2 - m - 1. Give -2*h(s) + 18*o(s).
2*s**3 - 2*s**2
Let b(c) = 3*c**2 - 2*c + 1. Let p(j) = -j**2 + j - 1. Suppose -5*v - 4*k + 146 - 29 = 0, -12 = -v + 3*k. Suppose -25*t - 8 = -v*t. Give t*b(x) - 4*p(x).
-2*x**2 + 2
Let c(g) = -g. Let h(v) = -v**2 + 4. Give 2*c(l) - h(l).
l**2 - 2*l - 4
Let c(r) = -2*r - 1. Suppose -f + 54 = 59. Let m(i) = -3*i - 2. Give f*c(k) + 4*m(k).
-2*k - 3
Let n(o) = -28*o**3 + 7*o**2 - 7*o. Let z(w) = -9*w**3 + 2*w**2 - 2*w. Calculate 2*n(b) - 7*z(b).
7*b**3
Let o(b) be the first derivative of 7*b**3/3 + b**2/2 + 8*b - 2. Suppose x + 32 - 38 = 0. Let f(y) = 15*y**2 + 2*y + 17. Give x*f(c) - 13*o(c).
-c**2 - c - 2
Suppose 0*h = 2*h + 5*f + 32, -5*f + 32 = -2*h. Let a = -11 - h. Let k(z) = 6*z + 4. Let g(v) = 4*v + 3. What is a*k(s) - 7*g(s)?
2*s - 1
Let x(z) = -33*z**3 - 5*z**2 - 5*z + 5. Let h(k) = 1007*k**3 + 152*k**2 + 152*k - 152. Calculate 5*h(v) + 152*x(v).
19*v**3
Let l(x) = x**2 + x. Let f(u) = 7*u**2 + 13*u. What is f(o) - 6*l(o)?
o**2 + 7*o
Let h(z) = -6*z**2 + 13*z. Let b(d) = -d**2 + 9*d. Let x(v) = -9*v. Let r(g) = 4*b(g) + 3*x(g). Give -5*h(a) + 7*r(a).
2*a**2 - 2*a
Let n(r) = 1. Let y(l) = 41*l - 4. Determine -4*n(z) - y(z).
-41*z
Let y(f) be the third derivative of -f**5/20 - f**3/3 + 7*f**2. Let u(q) = -12*q**2 - 9. What is -2*u(k) + 9*y(k)?
-3*k**2
Let l(y) = y**2 - y. Let b(r) = 2*r**2 - 7*r - 1. Let c(u) = -b(u) + 3*l(u). Let m(s) = -3*s**2 - 3 - 8*s - s + 0. Determine 5*c(j) + 2*m(j).
-j**2 + 2*j - 1
Let m(z) = -2*z + 1. Let u(n) = 21*n - 10. Let q(t) = 5*m(t) + u(t). Let r(k) = 17*k - 8. What is 8*q(y) - 5*r(y)?
3*y
Let t(s) = -20*s - 23. Let r(y) = -10*y - 11. Let i(l) = -9*r(l) + 4*t(l). Let x(c) = -c + 2 + 0*c + 4*c + 0*c. Give -4*i(v) + 14*x(v).
2*v
Let l(c) be the first derivative of 21*c**2/2 + 1. Suppose 33 + 27 = 4*m. Let v(o) = -3*o. Give m*v(z) + 2*l(z).
-3*z
Let x(p) = -665*p**3 - 209*p**2 - 209*p - 209. Let z(w) = -19*w**3 - 6*w**2 - 6*w - 6. Determine 6*x(m) - 209*z(m).
-19*m**3
Let j(u) = -31*u**3 + 6*u**2 + 7*u. Let b(n) = -10*n**3 + 2*n**2 + 2*n. What is -7*b(w) + 2*j(w)?
8*w**3 - 2*w**2
Let v(j) be the second derivative of 7*j**3/6 + 3*j**2/2 - j. Let t(a) = 8*a + 4. Calculate 4*t(o) - 5*v(o).
-3*o + 1
Let w(u) = -u - 1. Suppose 0 = -d - 1 + 2. Let n(b) = -2*b**3 - b**2. Let j be n(1). Let h(m) = -2*m**3 - 2*m**2 - m - 3. Determine d*h(v) + j*w(
|
{
"pile_set_name": "DM Mathematics"
}
|
i*i*(i/(i*i**(-3/13)*i))/i)/(i**0)**(-17/3) assuming i is positive.
i**(-119/104)
Simplify (b**(-4)/(b**(-4/33)*b))**(-44) assuming b is positive.
b**(644/3)
Simplify ((a*a/a**(-15/7)*a)/a**(-17))**(-2) assuming a is positive.
a**(-310/7)
Simplify ((u/(u**(-1)*u*u*u*u))/u)**17/(u**(-6)*u**(-5)) assuming u is positive.
u**(-40)
Simplify (q/(q**3*q)*q**(-9/5)*q**(2/7)*q**(-1/10))**(-4) assuming q is positive.
q**(646/35)
Simplify (q**7/q*q*q*q/(q*q/(q*q/(q*q**(-13)*q))*q*q))/(((q*q**(-12)/q)/q)/q*q/((q*q**(1/4))/q)) assuming q is positive.
q**(125/4)
Simplify (d*d**(-45)*d**37)**32 assuming d is positive.
d**(-224)
Simplify (i*i/i**(-3/2)*i**(-2/27))/(i**(-5)*i*i**(-1/8)/i) assuming i is positive.
i**(1847/216)
Simplify q**(7/10)/q**30*(q*(((q**23/q)/q)/q)/q*q)/(q/(q**1/q)) assuming q is positive.
q**(-93/10)
Simplify (w/w**11*w)**(-29)*w*w**(10/11)*w*w**(1/6) assuming w is positive.
w**(17429/66)
Simplify ((h/h**(-8/11))**50)**(-2) assuming h is positive.
h**(-1900/11)
Simplify ((r**(-5/4)*r)/r**(-15))/(r*r**(-4)*r*(r**(-7/4)/r)/r*r) assuming r is positive.
r**(39/2)
Simplify ((b*b**4*b)/(b*b**(-7)/b))/(b**(-3/4))**(-27/4) assuming b is positive.
b**(127/16)
Simplify ((b**(-1))**(-29)*(b**1*b)**(-3/11))**(-5) assuming b is positive.
b**(-1565/11)
Simplify (v**1)**(-1/30)*((v/(v**(-3/13)*v))/v)**(1/9) assuming v is positive.
v**(-139/1170)
Simplify (s*s**(-27)*s**(-3/7))**12 assuming s is positive.
s**(-2220/7)
Simplify (w/((w*w/((w*(((w/w**(1/5))/w)/w)/w)/w)*w)/w)*w*w**(-2))/(w/(w/(w/(w**(-4/5)/w))*w)*w*w/(w*w**(-11))) assuming w is positive.
w**(-18)
Simplify (((t/t**22)**(-1/5))**(2/3))**(-6) assuming t is positive.
t**(-84/5)
Simplify (j*j*j**10)**(3/7)/(j*j**6/j*j*j*j*j**(1/12)*j) assuming j is positive.
j**(-415/84)
Simplify k/(k/(k*k/(k/(k**(-2/19)*k))))*k**(2/25)*(k**(-2/11)/k)**(19/2) assuming k is positive.
k**(-96689/10450)
Simplify (c**(1/5)*c*c**(1/2)*c**3/(c*c**(1/8)))**(16/3) assuming c is positive.
c**(286/15)
Simplify ((l**(-23)/l*l)**(3/19))**(-11/2) assuming l is positive.
l**(759/38)
Simplify ((f*f/((f*f*f/(f**14/f)*f*f)/f))/f)/(f**16*f)*f**(-1/11)*f/((f**(-3/4)/f*f)/f) assuming f is positive.
f**(-191/44)
Simplify (w**2*w)**(-1/68)*w**(7/6)*(w/(w/(w/((w**(-12)/w)/w*w))))/w*w assuming w is positive.
w**(3085/204)
Simplify (b/b**(2/61))/(b*b*b**(-1))*(b/b**16)/(b*b**21/b) assuming b is positive.
b**(-2198/61)
Simplify ((z/(z**(-1/6)*z))/z**3)/(z**7/z*z**(2/15)) assuming z is positive.
z**(-269/30)
Simplify (z/(z/(z*z**(-6))*z))/(z/((z*z/(z/z**17))/z))*(z*z**0)**(1/4) assuming z is positive.
z**(41/4)
Simplify ((f**(2/13)*f)/f*f*f*f*f)**(-28)*(f**3*f)**(19/3) assuming f is positive.
f**(-3548/39)
Simplify (z**(-1/17))**(-46)/(z*z**9)**(13/7) assuming z is positive.
z**(-1888/119)
Simplify d**(2/5)/((d/(d*d**14/d*d*d))/d*d)*(d**(-3/4))**(4/5) assuming d is positive.
d**(74/5)
Simplify ((z/z**(-2)*z*z**3*z)/((z/(z**6/z))/z**(4/7)))**(-4/23) assuming z is positive.
z**(-352/161)
Simplify (q**(-8)*q**25/q)/(q/(q*q**(-5/6))*q/q**(-12)) assuming q is positive.
q**(13/6)
Simplify (((q/(q*q*(q*q**(16/3))/q*q*q))/q)/q)**(-30)*(q/(q**29/q)*q)/(q/(q*q**23)) assuming q is positive.
q**307
Simplify (((b**(1/2)*b)/b*b*b**2)/(b**0)**(-16/5))**41 assuming b is positive.
b**(287/2)
Simplify (l*l**(-3/4)/l)/l*l**(1/44)*(l**(4/5)*l)**(-2/43) assuming l is positive.
l**(-4283/2365)
Simplify (d**(-1))**(43/3)/((d**11/d)/(d**(4/3)*d)) assuming d is positive.
d**(-22)
Simplify ((((((i*i/(i/(i/(i/(i*i**(-7))))))/i)/i)/i)**43)**(-26))**(-5) assuming i is positive.
i**(-44720)
Simplify (g*((g*g/(g**(-1)*g*g))/g)/g*g)**(9/4)/(g/g**(5/6)*g**(-5/6)) assuming g is positive.
g**(35/12)
Simplify u**(4/5)*u**(-18)*(u/(u**20*u*u))/(u*u**(-1/19)) assuming u is positive.
u**(-3719/95)
Simplify (a**(-13)*(a*a/(((a/(a*a**(-2)))/a)/a))/a)/(a*a**(-2/3))**43 assuming a is positive.
a**(-79/3)
Simplify ((c*c*c/c**(-13)*c)/c**(-8))/(c**4)**(1/24) assuming c is positive.
c**(149/6)
Simplify ((s**(-2/3)*s)/(s*s**(1/5)*s))**(3/7) assuming s is positive.
s**(-4/5)
Simplify (l**(-5/6)*l*l**(-1/10))**2 assuming l is positive.
l**(2/15)
Simplify (h**(-5)*h**(2/47))/((((h*h**13)/h)/h*h)/h*h**(1/13)) assuming h is positive.
h**(-10408/611)
Simplify ((k**6)**(-2/5))**18 assuming k is positive.
k**(-216/5)
Simplify (c*c*c**6*c**(6/5))/(c*c**(-2/17)*c*c/(c/c**(-7))) assuming c is positive.
c**(1217/85)
Simplify (l*l**(-1/7)/l*l*l*l)/l*l*l**10*l*(l**2)**21 assuming l is positive.
l**(391/7)
Simplify (z**(-1/3))**7*z*z*z**(2/3)*(z/(z*z/(z/z**(-1))*z)*z*z)/z assuming z is positive.
z**(4/3)
Simplify ((a/(a/a**(1/18)*a))/a*a)**(-1/40)/(a**12)**(-41) assuming a is positive.
a**(354257/720)
Simplify (k**6)**12/(k**21/k**(-1/11)) assuming k is positive.
k**(560/11)
Simplify (((f*f*f/f**(-10)*f)/f)/(f/f**(-4)))/(f**(-1/20)*f*f/(f**(-13/3)/f)) assuming f is positive.
f**(43/60)
Simplify (h**(1/18)*h*h*h*h*(h/h**(-23)*h)/h*h*h)/(h*h*h**(4/7)*h*h)**(-39) assuming h is positive.
h**(26251/126)
Simplify ((n/n**(-4)*n**(3/5)/n)/(n*n**(-1/5))**8)**(1/3) assuming n is positive.
n**(-3/5)
Simplify o*o**(1/2)*o*o**(-27)*o*(o/(o**18/o))/o*o**15*o assuming o is positive.
o**(-49/2)
Simplify (x**(9/4))**(2/55)*(x*x*(x*x*x**(-25)/x)/x*x)/(x/(x*x**(-1/3))) assuming x is positive.
x**(-7343/330)
Simplify j**3/j**(-2/7)*(j**(-3/5)/j)**(7/13) assuming j is positive.
j**(1103/455)
Simplify a**(3/4)/a**(3/5)*(a*a**(-7/5)*a*a)/(a**(-4/5)/a) assuming a is positive.
a**(71/20)
Simplify ((r**18*r)/r**(-24/5))/((r/(r/(r**8/r)*r))/r)**(5/14) assuming r is positive.
r**(1541/70)
Simplify (i**(-26)*i*i**(-7/5)*i)**(2/7) assuming i is positive.
i**(-254/35)
Simplify v*v**(-4/13)/v*v/(v*v**7)*v/((v**15/v*v)/v*v)*v*(v**(-2/63)*v*v)/v*v assuming v is positive.
v**(-15020/819)
Simplify ((n**11/n**(-9))**(-5))**(-17/2) assuming n is positive.
n**850
Simplify (j*j**(-5/4)/j*j*j/(j*j*j*j/(j**6*j))*j)/(j/j**(3/8)*j**(-4)) assuming j is positive.
j**(65/8)
Simplify ((t/((t**(1/9)/t)/t)*t)/(t**(-6/7)/t)*t**3*t**(-4/5)*t)**3 assuming t is positive.
t**(2818/105)
Simplify ((m**(19/5)*m)/(m/(m**14/m)))/(m**(-11)/(m**(-11)*m)) assuming m is positive.
m**(89/5)
Simplify ((g**(-17)/g)**(-38))**(-15) assuming g is positive.
g**(-10260)
Simplify g**10*g*g/g**(4/7)*g*(g/((g*g*(g*g*(g*g**(-1/6)*g*g)/g)/g)/g))/g**(-4/3) assuming g is positive.
g**(153/14)
Simplify ((c*c**(3/7)*((c**(6/7)*c*c)/c)/c)**(-4))**(2/5) assuming c is positive.
c**(-128/35)
Simplify (r**21/(r**(-2/31)*r*r*r))/(r*r**9*r*(r*r**(-14))/r*r) assuming r is positive.
r**(622/31)
Simplify ((d*d/(d**2*d)*d)**43*d**(1/13)/(d*d**(1/2)*d*d))**(-1/2) assuming d is positive.
d**(89/52)
Simplify ((((h/h**(-7)*h)/h*h)/h)/(h**(-7)/h))/(h**(-8/11)/(h**(3/10)*h)) assuming h is positive.
h**(1983/110)
Simplify (b**12)**(-4/3)/(b*b/(b*(b*b**(-8/3)*b)/b*b*b)*b)**(-42) assuming b is positive.
b**54
Simplify (((a**(2/3))**(-43))**(-30))**(4/27) assuming a is positive.
a**(3440/27)
Simplify (x/(x/x**(5/4)))**38*x**13/(x**4*x) assuming x is positive.
x**(111/2)
Simplify ((s/(s/(s*s*s**(1/4)*s)))**(-14/9)*(((s/(s/s**(-1/4)))/s)/s)/s**7)**(1/16) assuming s is positive.
s**(-515/576)
Simplify (s**2)**36/((s/s**(-2/3))/s**5) assuming s is positive.
s**(226/3)
Simplify ((i/(i*i**(-23)*i))**(2/7))**9 assuming i is positive.
i**(396/7)
Simplify ((o*o/(o**(4/9)/o)*o*o)/o)/o**14*o**23/(o*o**(-17)) assuming o is positive.
o**(257/9)
Simplify (t*t**(-1/18))**(-48)/(t/(t/t**4*t)*t**(-6/5)) assuming t is positive.
t**(-707/15)
Simplify (m**(7/2)*m*m*m*m**(-1/5)/m*(m**2/m)/(((m/m**(2/5))/m)/m))**(-22/7) assuming m is positive.
m**(-121/5)
Simplify (o/(o/((o**(2/3)*o)/o*o)*o))/(((o*o**(1/16))/o)/o)*(o*o**10)/(o/((o/o**(-1/7))/o)) assuming o is positive.
o**(3947/336)
Simplify (a**6*a/(a**(1/14)*a)*a*a*((a/(a*a**(-2/7)*a)*a)/a)/a*a*a/a**5)**(-17/5) assuming a is positive.
a**(-153/14)
Simplify (x**(-4/5)/x)/(x/(x**(-2/9)*x))*x*x**(1/12)*x**(-1/6)*x assuming x is positive.
x**(-19/180)
Simplify ((z**24*z)/z**(-6))**18 assuming z is positive.
z**558
Simplify (((s**(-1/4))**(-44/5))**(11/3))**17 assuming s is positive.
s**(2057/15)
Simplify (u/u**(-1/7)*u**(-13))/((u**(-2/21)*u)/u**(-6/13)) assuming u is positive.
u**(-3610/273)
Simplify (d/(d/d**(-5)*d)*d)**39*d/d**(-4)*d*d**(6/13)*d*d*d assuming d is
|
{
"pile_set_name": "DM Mathematics"
}
|
rs of 4556863.
41, 111143
What are the prime factors of 4468247?
7, 31, 59, 349
What are the prime factors of 354627?
3, 7, 13, 433
List the prime factors of 418153.
271, 1543
What are the prime factors of 9741373?
557, 17489
List the prime factors of 4130893.
13, 197, 1613
List the prime factors of 4037218.
2, 37, 89, 613
What are the prime factors of 17935061?
859, 20879
List the prime factors of 23586555.
3, 5, 71, 22147
List the prime factors of 67542.
2, 3, 11257
What are the prime factors of 107776?
2, 421
What are the prime factors of 254730?
2, 3, 5, 7, 1213
List the prime factors of 26357062.
2, 359, 36709
List the prime factors of 309253.
7, 44179
What are the prime factors of 435694?
2, 7, 31121
List the prime factors of 254563.
277, 919
List the prime factors of 44394.
2, 3, 7, 151
What are the prime factors of 1081347?
3, 19, 61, 311
What are the prime factors of 4296071?
13, 19, 17393
List the prime factors of 319467.
3, 83, 1283
What are the prime factors of 635904?
2, 3, 23
What are the prime factors of 3511736?
2, 438967
What are the prime factors of 1205318?
2, 41, 14699
What are the prime factors of 2072953?
2072953
List the prime factors of 4032664.
2, 53, 9511
List the prime factors of 6052155.
3, 5, 29, 13913
What are the prime factors of 182030?
2, 5, 109, 167
List the prime factors of 325517.
325517
List the prime factors of 699449.
699449
List the prime factors of 377995.
5, 17, 4447
List the prime factors of 28599758.
2, 11, 1299989
List the prime factors of 5818013.
5818013
List the prime factors of 8077576.
2, 13, 101, 769
List the prime factors of 154027.
154027
What are the prime factors of 212336?
2, 23, 577
List the prime factors of 236101.
179, 1319
List the prime factors of 148370.
2, 5, 37, 401
What are the prime factors of 3467691?
3, 31, 1381
What are the prime factors of 23503?
19, 1237
List the prime factors of 302175.
3, 5, 17, 79
List the prime factors of 16563195.
3, 5, 11, 33461
What are the prime factors of 7256471?
47, 181, 853
What are the prime factors of 5802774?
2, 3, 967129
List the prime factors of 18950141.
7, 2707163
What are the prime factors of 17227226?
2, 53, 331, 491
List the prime factors of 17507003.
17507003
What are the prime factors of 42075529?
157, 263, 1019
What are the prime factors of 10570885?
5, 13, 162629
What are the prime factors of 34405101?
3, 107, 11909
What are the prime factors of 21167073?
3, 2351897
What are the prime factors of 15725017?
7, 11, 17, 41, 293
What are the prime factors of 499926?
2, 3, 7, 11903
List the prime factors of 405539.
283, 1433
What are the prime factors of 17993379?
3, 103, 58231
List the prime factors of 1934871.
3, 43, 53, 283
What are the prime factors of 401234?
2, 17, 11801
List the prime factors of 33545462.
2, 41, 313, 1307
List the prime factors of 7338735.
3, 5, 54361
What are the prime factors of 304380?
2, 3, 5, 19, 89
List the prime factors of 120967.
7, 11, 1571
What are the prime factors of 8345997?
3, 11, 17, 19, 29
What are the prime factors of 282488?
2, 35311
What are the prime factors of 1214385?
3, 5, 19, 4261
List the prime factors of 321100.
2, 5, 13, 19
What are the prime factors of 454860?
2, 3, 5, 7, 19
List the prime factors of 577657.
19, 30403
What are the prime factors of 3762089?
677, 5557
List the prime factors of 4206566.
2, 7, 13, 29, 797
List the prime factors of 357461.
13, 31, 887
What are the prime factors of 36756980?
2, 5, 13, 109, 1297
List the prime factors of 11666688.
2, 3, 11, 1381
What are the prime factors of 7788450?
2, 3, 5, 137, 379
List the prime factors of 71408.
2, 4463
List the prime factors of 2395795.
5, 23, 83, 251
What are the prime factors of 370915?
5, 31, 2393
What are the prime factors of 522140?
2, 5, 26107
List the prime factors of 184267.
103, 1789
List the prime factors of 13368381.
3, 13, 19, 18041
List the prime factors of 136980.
2, 3, 5, 761
What are the prime factors of 86989?
7, 17, 43
List the prime factors of 6287921.
6287921
What are the prime factors of 13693027?
23, 47, 53, 239
What are the prime factors of 15364878?
2, 3, 1153, 2221
What are the prime factors of 20471887?
439, 46633
What are the prime factors of 47353?
47353
What are the prime factors of 268079?
7, 5471
What are the prime factors of 1596985?
5, 13, 79, 311
What are the prime factors of 6101462?
2, 409, 7459
What are the prime factors of 1871503?
1871503
What are the prime factors of 458968?
2, 103, 557
List the prime factors of 2965898.
2, 13, 114073
What are the prime factors of 103839?
3, 34613
What are the prime factors of 1844197?
19, 29, 3347
List the prime factors of 51385.
5, 43, 239
What are the prime factors of 104450?
2, 5, 2089
What are the prime factors of 10894888?
2, 31, 197, 223
What are the prime factors of 338069?
37, 9137
List the prime factors of 114613.
114613
List the prime factors of 29478345.
3, 5, 13, 151171
List the prime factors of 932747.
53, 17599
List the prime factors of 279586.
2, 43, 3251
List the prime factors of 2921021.
101, 28921
List the prime factors of 219828.
2, 3, 7, 2617
List the prime factors of 25361508.
2, 3, 2113459
List the prime factors of 6161720.
2, 5, 154043
What are the prime factors of 7355989?
7355989
What are the prime factors of 141042?
2, 3, 11, 2137
List the prime factors of 634148.
2, 158537
What are the prime factors of 941646?
2, 3, 156941
What are the prime factors of 377264?
2, 17, 19, 73
List the prime factors of 376747.
7, 107, 503
List the prime factors of 692667.
3, 76963
What are the prime factors of 672278?
2, 29, 67, 173
What are the prime factors of 29249027?
17, 31, 55501
What are the prime factors of 1107589?
7, 158227
What are the prime factors of 1798912?
2, 7027
List the prime factors of 428809.
428809
List the prime factors of 475342.
2, 7, 19, 1787
What are the prime factors of 141783?
3, 167, 283
What are the prime factors of 956882?
2, 478441
What are the prime factors of 1942333?
29, 66977
List the prime factors of 16493835.
3, 5, 1099589
List the prime factors of 845476.
2, 211369
What are the prime factors of 84753?
3, 43, 73
List the prime factors of 229223.
229223
What are the prime factors of 5283651?
3, 17, 211, 491
What are the prime factors of 1978664?
2, 17, 14549
List the prime factors of 114629.
79, 1451
What are the prime factors of 1318610?
2, 5, 131861
List the prime factors of 151908.
2, 3, 12659
What are the prime factors of 43247?
59, 733
What are the prime factors of 454605?
3, 5, 30307
What are the prime factors of 1900656?
2, 3, 67, 197
List the prime factors of 391750.
2, 5, 1567
What are the prime factors of 168254?
2, 84127
List the prime factors of 11946806.
2, 5973403
List the prime factors of 382523.
179, 2137
List the prime factors of 1967077.
7, 151, 1861
What are the prime factors of 149139?
3, 73, 227
What are the prime factors of 10345844?
2, 61, 109, 389
What are the prime factors of 17793236?
2, 89, 151, 331
List the prime factors of 103027.
269, 383
What are the prime factors of 19923966?
2, 3, 17, 65111
List the prime factors of 1173131.
137, 8563
List the prime factors of 251876.
2, 62969
What are the prime factors of 26811?
3, 331
List the prime factors of 26383659.
3, 61, 144173
List the prime factors of 653540.
2, 5, 41, 797
What are the prime factors of 1651928?
2, 31, 6661
List the prime factors of 768262.
2, 11, 47, 743
What are the prime factors of 20259188?
2, 1871, 2707
List the prime factors of 184027.
163, 1129
List the prime factors of 181054.
2, 90527
List the prime factors of 5697109.
11, 517919
What are the prime factors of 2059886?
2, 1029943
List the prime factors of 249655.
5, 7, 1019
What are the prime factors of 152485?
5, 30497
List the prime factors of 7733029.
1223, 6323
List the prime factors of 1360363.
59, 23057
What are the prime factors of 586792?
2, 41, 1789
List the prime factors of 8177438.
2, 313, 13063
List the prime factors of 6791500.
2, 5, 17, 47
What are the prime factors of 438745?
5, 47, 1867
List the prime factors of 312977.
7, 44711
What are the prime factors of 42640?
2, 5, 13, 41
What are the prime factors of 166228?
2, 29, 1433
What are the prime factors of 854024?
2, 106753
List the prime factors of 29290541.
7, 17, 47, 5237
What are
|
{
"pile_set_name": "DM Mathematics"
}
|
posite number?
False
Let d be 1/(-5) - 11556/(-30). Suppose 3*w - d = -2*w. Is w composite?
True
Let a(p) be the second derivative of p**4/12 - p**3/3 + 11*p**2/2 + p. Is a(8) a prime number?
True
Let k = 3 - 1. Suppose 8 = 2*w + 2. Suppose 0 = -3*l + k*z + 59, l + l = w*z + 36. Is l prime?
False
Let s = -1602 - -2693. Is s prime?
True
Let u = 16 - 8. Let c(i) = 43*i + 11. Is c(u) composite?
True
Let x = -464 + 929. Suppose -3*l - 3 = 0, -4*q + 4*l = -l - x. Is q a composite number?
True
Let p(b) = -2*b**3 + b**2 - 1. Is p(-2) prime?
True
Suppose -3*v = -4*d - 150, -2*v + 44 = 2*d - 42. Is ((-2)/4)/((-1)/v) prime?
True
Suppose n + 0*n = 0. Suppose -186 = -n*k - 3*k. Is k composite?
True
Suppose -k + 252 + 79 = 0. Is k a composite number?
False
Suppose -3*i = 3*g - 2*i - 101, -15 = -3*i. Suppose 0 = -2*s - 5*j + 91, 0 = -2*s + 5*j + 109 + g. Is s a prime number?
False
Let i(u) = u**2 + 4*u + 3. Let c be i(-6). Let h = 18 + c. Suppose 2*w - w - h = 0. Is w prime?
False
Suppose -3*f + 1 = -2*p - 2, 0 = -5*p + 3*f + 6. Suppose p*j = 80 + 34. Is (j/(-3))/((-2)/3) a prime number?
True
Suppose n + 4 = -4. Let s be -3*4/6 - n. Suppose -3*r + s = -2*r. Is r a prime number?
False
Let h = 139 + -60. Is (h/(-4))/((-4)/16) prime?
True
Let n = -6 - -12. Suppose t + 0 = n. Is (-2)/(8/(-6))*t composite?
True
Suppose s + 0*s - 395 = 0. Suppose 7*l = 2*l + 2*g + 894, 2*l - 5*g - 345 = 0. Suppose s + l = 5*i. Is i composite?
True
Let o be (-2 - -2)/(0 + 1). Let x(s) = 6*s + 13 - s - s - 5*s. Is x(o) prime?
True
Let n = -5 + 7. Is n/(-7) - (-247)/7 prime?
False
Let x(d) = -67*d**3 - 3*d**2 - 3*d - 1. Is x(-2) a prime number?
False
Suppose 5398 = 5*l + v + 2*v, -4*v - 1075 = -l. Is l composite?
True
Let g(s) = s - 4. Let b(y) = -1. Let d(h) = -2*b(h) + g(h). Let j be d(6). Let v(l) = -l**3 + 4*l**2 + l. Is v(j) a composite number?
True
Let s(z) = 11*z - 3. Let y be s(4). Suppose 4*c = 107 + y. Is c a composite number?
False
Let y be 39/6 - 6/4. Suppose -4*i + 2 = s - 2, -y*s + 20 = -2*i. Suppose -s*b + 27 = -305. Is b composite?
False
Suppose 0 = 3*r - 2531 - 922. Is r composite?
False
Let o(s) = s**2 - 2*s - 22. Is o(-9) prime?
False
Let s = 0 + 0. Suppose 0 = -6*n - 12 + 42. Suppose -n*a + 626 + 189 = s. Is a a prime number?
True
Let n be 3 + (-4)/(8/4). Let a(v) = 2 + 7*v + 51*v - 1. Is a(n) a composite number?
False
Suppose -3*g - 3*v + 60 = -0*g, -5*g = 4*v - 97. Suppose -5 = 3*b - g. Suppose z = b*z - 93. Is z prime?
True
Suppose 3*f - 875 = -x, -3*x + 1683 = 4*f + 523. Is f composite?
False
Suppose -v - 5*g = 26, 5*v - 2*g + 6*g = -25. Let h = v + 5. Let p(k) = 7*k**2 + 2*k - 1. Is p(h) a prime number?
False
Let y = -9 - -13. Let w(s) = s**3 - 6*s**2 - 7 + y - 5 - 2*s. Is w(9) a composite number?
True
Let u(i) = i**2 + i - 8. Let m(r) = -2*r**3 + r**2 + r. Let v be m(2). Is u(v) a composite number?
True
Let f = 6 - 8. Let w be 1 + 10 + -3 + f. Is (-4)/(-2)*159/w prime?
True
Suppose -2*c + 289 = -1081. Is c prime?
False
Let f(u) = 12*u + 4. Let q be f(-4). Let h = q + 80. Let s = 59 - h. Is s a composite number?
False
Suppose -4*x + x + 981 = 0. Is x a prime number?
False
Let t(n) = n + 2. Let p be t(2). Let l(m) = m**2 + m**2 - 2 + 1 - 4*m. Is l(p) a prime number?
False
Suppose 4*o + 2*d = -d + 2197, 3*d + 1121 = 2*o. Suppose 4*j + o = 5*t, -2*t + 0*j = 3*j - 235. Is t a prime number?
True
Suppose -6*c + 5*x = -c - 14710, -2*c + 4*x + 5890 = 0. Let n = c + -2086. Is n a composite number?
False
Suppose 0 = -q - 2*d + 2, -2*d = -q + 2*d + 2. Suppose -23 = -q*z + z + 2*t, 3*z - 67 = 5*t. Is z a prime number?
True
Let o(l) = -l + 1. Let v be o(-3). Suppose n - 500 = -5*p - 2*n, v*n - 20 = 0. Is p prime?
True
Suppose 638 = -t + 3*t. Is t composite?
True
Let x = -188 - -301. Suppose -v + 6 - x = -5*c, 0 = 2*v + 4. Is c prime?
False
Suppose 5*x - 10485 = 5*l, -3*x - 4*l + 11 = -6266. Is x prime?
False
Suppose -2*m = 4*j - 2040, 4*m + 3*j = 1674 + 2396. Suppose m = 3*o - 5*o. Is o/(-12)*1*3 composite?
False
Suppose 0 = 4*v - 430 + 90. Is v composite?
True
Is 4/6 + (-2666)/(-6) composite?
True
Let j(i) = 2*i**2 - i + 4507. Is j(0) prime?
True
Let f(d) = -d**2 - d + 2. Let o be f(0). Let p be 1 + (-1)/((-3)/783). Suppose -2*v - p = -4*h, h + o*h = -5*v + 216. Is h composite?
False
Let c(o) = 4*o**2 + 3. Let j(q) = -8*q - 17. Let r(v) = -3*v - 6. Let u(i) = 4*j(i) - 11*r(i). Let g be u(6). Is c(g) prime?
True
Let l be (2/(-4))/((-1)/(-8)). Let r(q) = q**2 + 2*q - 4. Let f be r(l). Is 2/f*4 - -1 a prime number?
True
Is (4/(-6))/((-12)/(-21078))*-1 composite?
False
Suppose 6*t - 2*t - 20 = 0. Suppose 9 = 3*k + 3. Suppose t = u + 2*j - 7, -k*u = -5*j + 12. Is u composite?
True
Let s(k) = 27*k - 15. Is s(4) a prime number?
False
Let b(w) = -w**2 - w + 46. Let s be b(0). Suppose -s = -2*x - 0*x. Is x a composite number?
False
Suppose -4*q = -q - 663. Is q composite?
True
Let g(w) = 137*w - 5. Is g(2) a prime number?
True
Let g(f) = -5*f. Let s be g(-1). Let l = -5 + s. Suppose -2*r - 3*a - a = -104, l = 2*r - 4*a - 128. Is r prime?
False
Suppose 3*j + 12 = 0, 2*j - 2615 = -5*q + 2422. Is q a prime number?
True
Let t be (-2 + -3 + 2)/(-1). Suppose -t - 6 = -r. Let c = r - -2. Is c a composite number?
False
Let x be (-2 - -4)/(2/(-1)). Let g be -2*(-2 + 6/4). Is -1 + (17 + x - g) a prime number?
False
Suppose 12*i - 9*i - 2121 = 0. Is i a prime number?
False
Let b be 3 + 2 - 2 - -484. Let m = b + -342. Is m a composite number?
True
Let d(p) = p**3 + 6*p**2 - p + 2. Let m be d(-6). Let b(i) = -22*i - 9. Let g be b(11). Let v = m - g. Is v composite?
True
Suppose 0 = 3*m + 3*q + 12, m + 5*q - 12 = -36. Let o(d) = 114*d**2 + d. Is o(m) composite?
True
Let z = 0 - -2. Suppose z*w - 3 + 9 = 0. Let b = w + 22. Is b a composite number?
False
Suppose 4*q + 1267 = 5*q. Is q a prime number?
False
Suppose 0 = -d + 3 - 1. Suppose 0 = u - k - 106, -k = d*u + 2*k - 227. Let h = -76 + u. Is h a composite number?
True
Let z = 2 + -6. Let b be (-1352)/9 - z/18. Is b/(-4) - 3/6 a prime number?
True
Let c(h) = 36*h**2 - 3. Is c(-2) prime?
False
Let j(y) be the second derivative of y**5/10 + 5*y**4/12 - 3*y**3/2 + 11*y**2/2 - 2*y. Is j(5) a prime number?
False
Let m(l) be the first derivative of -l**2 + 2*l + 2. Let g be m(-3). Suppose f - g = 45. Is f composite?
False
Let u be (1*(-2 - -2))/2. Suppose 0 = -3*d - u + 6. Is d a composite number?
False
Suppose 3*k - 455 = 454. Is k prime?
False
Suppose 0 = 3*x - 4*x. Suppose x*v - 2*v = 0. Suppose 5*c - 417 - 128 = v. Is c composite?
False
Let y be (-4)/3 + (-678)/(-9). Suppose -y = -2*x + 12. Is x a prime number?
True
Suppose -2*d - d = 2*w + 31, 0 = -2*d - 3*w - 19. Is (-4 - d)/(1 + 0) a prime number?
True
Suppose 255 = f - 439. Is f a prime number?
False
Suppose m + 2716 = 5*m. Is m a prime number?
False
Let r(j) = 46*j + 1. Let g(d) = -2*d - d - d**2 - 1 - 2*d**3 + 2*d. Let a be g(-1). Is r(a) composite?
False
Let m be 4/((-16)/(-18))*2. Suppose m = -3*t - 0*t. Is (10/t)/((-8)/132) prime?
False
Suppose -5*h + 14721 = -2*h. Is h composite?
True
Let i(m) = 9*m - 15. Let y be i(5). Let x(n) = -5*n - 1. Let a be x(-1). Let s = y - a. Is s a composite number?
True
Suppose 156 = -w + p, -2*w + 0*p - 318 = p. Let j = w - -285. Is j a prime number?
True
Let p(y) = 42*y**3 - 2*y**2 + y. Let b be p(2). Let l = b - 233. Is l composite?
False
Let u(b) = -9*b**3 - 3*b**2 + b - 2. Let t be u(-3). Suppose 3*k - 39 - 182 = 4*v, 2*v = 3*k - t. Is k prime?
True
Suppose k + 2939 = 2*z, 2*z - 4*z + 4*k = -2930. Is z a composite number?
False
Suppose -3*w + 2 = -4. Suppose -2*g = 3*g - 3*d - 15, 2*g - w*d - 10 = 0. Let a(v) = v**3 + 11. Is a(g) a prime number?
True
Suppose -8*j = -959 - 297. Is j composite?
False
Let b be 191*(3 - (-3 + 5)). Suppose 0 = z - b - 110. Is z a composite number?
True
Let g(x) = 3*x**2 + 3*x + 1. Suppose j + 17 - 1 = 5*a, 36 = -3*j + 3*a. Is g(j) prime?
True
Is (-3)/(1 + (-528)/524) a prime number?
False
Let n be ((-2)/4)/(2/(-12)). Suppose -9 = -4*t + 3. Suppose -2*u + 90 = n*q, -8*u = -3*u - t*q - 267. Is u composite?
True
Let r be (-1 - 5)*40/30. Let a(q) = -10*q - 1. Is a(r) a prime number?
True
Let b be ((-20)/(-30))/(2/93). Suppose -2*o = -o - b. Is o prime?
True
Suppose 4*a - 3 = 9. Suppose 2*r - 587 - 526 = -a*u, 3*u + 5*r
|
{
"pile_set_name": "DM Mathematics"
}
|
22. Let d(a) = -a**2 + 4*a - 1. Let p be d(i). Solve h + o = p, 0 = 4*h - 5*o - 3 for h.
2
Let z be (-4 - -151)*1/3. Let s = -44 + z. Solve -j - c = 3*j - 5, -j - s*c = -6 for j.
1
Let a(f) be the second derivative of -1/12*f**4 + 2*f**2 - 1/3*f**3 + f + 0. Let h be a(0). Solve -i - 2*n - h = 0, 2*i + 2*i = -5*n - 16 for i.
-4
Suppose -n - 17 = 4*g - 82, 0 = 4*g - 5*n - 35. Solve 3*f = -4*x + 10, -3*f + x + 5 = g for f.
-2
Suppose q - 17 + 4 = 0. Let i be 1*(0/9)/(-2). Suppose 0*v = 5*v - 15. Solve -3 = -c - n, -4*c - 5*n + v + q = i for c.
-1
Let a(s) = -5*s + 5. Let t be a(1). Suppose 3*k = 4*j - 3, t = -0*k + k - 5*j + 12. Suppose 0 = 2*f - 6 - 6. Solve -u + h = -3, -f*u + u = k*h - 23 for u.
4
Suppose -2*o = 3*o + 10, t = 4*o. Let f(g) = g**3 + 9*g**2 + 7*g - 4. Let p be f(t). Solve 5*v + 14 = u - 8, p*u + 32 = -4*v for v.
-5
Suppose 2*f - 9 = -5*m, 3*m + 5*f - 1 + 7 = 0. Solve 4*k = 4*l, -2*k - 2 - m = -3*l for l.
5
Let d be ((-2)/4)/(5/150). Let b = -11 - d. Suppose b*i - 2*p = 24, 3*i - 4*p - 33 = -2*i. Solve i*u = 2*j + 33 - 0, 0 = 4*u + 3*j - 8 for u.
5
Let g = 16 + -11. Let c = 6 + 3. Suppose 0 = -c*k + 4*k + 40. Solve k = -2*o - 4*u, -g*u = -0*u for o.
-4
Let c = -512 - -504. Let u = -72 - -117. Let l be (c/(-5))/(6/u). Solve -2 = 2*r + 3*s, r + r = 4*s + l for r.
2
Suppose -3*t + 84 = -3*v, 0*v - 5*v = 2*t + 147. Let w = -27 - v. Suppose 0 = 5*p - w*i - 2, 2 - 1 = -5*p - i. Solve 5*f - 4*z - 6 = p, -z - 8 = f - 2 for f.
-2
Suppose 13*u - 220 = -31*u. Solve -u*d + c - 24 = 0, 4*d - 4*c + 15 = -1 for d.
-5
Let n = 55 + -50. Suppose 3*j = 4*w + w - 23, 15 = 5*w + n*j. Solve 0 = 4*o - 4*y - w, 2*o + 7*y - 4*y - 7 = 0 for o.
2
Let s(t) = t**3 + t**2 - 4*t - 1. Let u be s(-6). Let v = u - -159. Solve 0 = a - v*a - r + 5, 0 = 3*a + 4*r - 15 for a.
5
Let h = -924 - -928. Solve 5*z = h*s - 2*s - 7, 0 = -3*s - z + 2 for s.
1
Let n be 1 + (1 + -5)*-1 + -5. Solve -5*f + n*w - w + 20 = 0, -f = 2*w - 13 for f.
3
Let c(w) = -w - 5. Let d be c(-4). Let m be 1 + d + 11 + 1. Suppose -95*j + 28 = -88*j. Solve -3*a - m = -3*h, a - 10 - 1 = -j*h for h.
3
Let m(x) = x**2 + 5*x - 20. Let i be m(-9). Suppose -4*s = 2*p - i, -2*s + s + 5 = p. Solve -5*a + 3 = -p*u + 2, -4*u + 4*a + 4 = 0 for u.
2
Suppose o - 45 = -4. Let n = o - 38. Solve 0*m - y = -2*m - n, 4*y - 12 = 0 for m.
0
Suppose -6*b = -4*b. Let x be 2 + ((-3)/(-3))/1 + b. Solve -o - 2*o = -3*r + x, 0 = -r + 1 for o.
0
Let j(a) = a**3 - 9*a**2 - 12*a + 28. Let p be j(10). Let q = -8 + p. Solve -2*i + l = -q*i - 7, -i + l + 3 = 0 for i.
4
Let o be 10/(-20) - 18/(-4). Suppose 3 = -o*z - 17. Let t = -1 - z. Solve t*x = 2*v, 3 = -5*x + 3*v + 1 for x.
2
Suppose 0 = 8*v + 156 + 212. Let z = -46 - v. Solve -2*b - 5*n = 2*b + 21, -3*b + 2*n - 10 = z for b.
-4
Suppose 4 = 2*d - 2*u, 2*d - 3*d + 2 = 5*u. Solve 4*z = -i - 3*i - 4, 3*z = d*i + 17 for i.
-4
Suppose -3*h = -5*h + 6. Let p(l) = -l**2 - 13*l + 4. Let j(g) = 18*g + 60. Let i be j(-4). Let f be p(i). Solve h*y = -2*y + k + 15, -f = y - 4*k for y.
4
Let a(s) = -5*s - 146. Let x be a(-30). Solve 2*y = 3*f - 7, 0 = 5*f + 4*y - 1 + x for f.
1
Let s be 2/4 + 22/(-4). Let v be 7/2 - (-7)/(-19 - s). Solve -5 = -5*d - 5*g, v*d - 2*g + 3*g = 1 for d.
0
Let u(z) = -4*z + 18. Let q be u(5). Let c be 93/6 + 2 + q/4. Solve -j + c = -3*t, 5*j = 5*t + 2*j + 31 for t.
-5
Suppose 17*p - 22*p = -11*p. Solve 5*i - 8*i + 8 = -2*j, 3*i - 6 = p for j.
-1
Let j be -1*(2 + -1) - -8. Let z = 0 + j. Let a = z - 2. Solve -h + 5*h = u, 21 = -h - a*u for h.
-1
Let z be 2/(-31) + (-5418)/(-1333). Solve -10 = -m - z*m, 0 = 2*i + 4*m - 2 for i.
-3
Let v = 12 + -10. Suppose -17 = -y - 4*z, -3*z + 29 = 6*y - v*y. Suppose 25 = y*f - 0*f. Solve 5*c = 5*w - f, 2*c - 6 = -w - 2*c for w.
2
Suppose 54 = -97*n + 115*n. Solve -5*z - 16 = -n*f, 4*z - f + 3*f + 4 = 0 for z.
-2
Suppose 15*d - 17*d + 54 = 0. Let b be ((-3)/d*3)/((-3)/144). Solve -x - 3*x = f + b, -8 = -2*f + 2*x for f.
0
Suppose -4*r + f = 3*f + 112, 4*r = 2*f - 96. Let v = r + 28. Solve -v*n - 3 = 3*l - 0*n, 2*n - 15 = 3*l for l.
-3
Let d(s) = -s**3 + 7*s**2 - 6*s + 4. Let m be d(6). Let w be (0/(-2))/(-2 - -4). Suppose w - m = -j. Solve f + 15 = j*u, f - 2*u + 10 = u for f.
5
Suppose x = 2*x + 4, 0 = s + 5*x + 91. Let u = -71 - s. Solve -3*y + 2*w + u*w + 20 = 0, -2*y = w - 4 for y.
4
Let l(r) = -r**3 - 2*r**2 + r - 3. Let b be l(-3). Let v be (12 - 12)/(2/(-2)). Suppose -f + v*f + 21 = 0. Solve -b*a + 2*o - 21 = -8*a, -3*o + f = 4*a for a.
3
Suppose -7 = 3*m - 10. Solve g = y + 1, -6*g - 3*y = -11*g + m for g.
-1
Suppose -3*w - 4 = 2*u - 23, u - 22 = -4*w. Let y = 92 + -94. Let p be (-20)/y*1/u. Solve 11 = p*x + 4*v, -v + 7 + 1 = -4*x for x.
-1
Let q(b) = b**3 + 5*b**2 + 6*b. Let r be q(-3). Solve -3*w - 8 = i, -5*i + 11 = -2*w - r*w for i.
1
Suppose -1 - 1 = 2*t. Let j be (-1 + t)*(-9)/6. Suppose 0 = 3*v - 6, -j*v + 4*v = 5*s - 18. Solve 5*l = 3*i, -2*l + 4*l + s*i + 26 = 0 for l.
-3
Let c = 1235 + -1231. Solve -4*l + 8 = c*k, 0 = 4*k + k for l.
2
Suppose 6*d - 66 = -5*d. Solve -5*w = -y - 13, 2*w - 4*y - 4 = d*w for w.
2
Suppose 5*b - 193 = 7. Let s = b - 37. Solve 2*l - 6 = 3*t, s*l + 7 = -3*t + 1 for t.
-2
Let g = -346 - -358. Solve 2*p + g = 3*p + 4*y, -y = -3*p - 3 for p.
0
Let p be -3 + -3*26/(-2). Suppose -a - 2*a + 23 = i, -4*a + 4*i + p = 0. Suppose 5*u + 2*t = a, 6 = 2*u - t + 1. Solve 0 = w + 3, -2*w = u*b - 4*w - 14 for b.
4
Let u = 251 - 29. Suppose 0 = -3*f + 5*f + u. Let y be 4/(-14) + f/(-21). Solve -2*t - 18 = -4*h, 0 - 22 = 3*t - y*h for t.
1
Suppose 27 = 15*c - 33. Solve -2*f = 5*i + 9, -3 = f + c*i - 2*i for f.
3
Suppose 4*r = -0*r + 12. Suppose 0 = 17*i - 58 - 10. Solve r*y + i*p - 28 = -p, -9 = y - 2*p for y.
1
Suppose -2*u + 210 = -5*u. Let m = 44 + u. Let z be 2/((-82)/m + -3). Solve -f = -5*p - 14 + 43, -3*f - 5*p = -z for f.
-4
Suppose -4*y = 5*f + 12, 2*f + 4*y = y - 2. Let v = f + 24. Solve 2*o - v = -5*s, 2 = s - 0 for o.
5
Let u = 25 + -25. Suppose u = -0*c + 3*c + 5*i + 10, -2*c - i = 2. Solve -2 = -2*m - 4*l, c*m - 5*l = 5*m - 10 for m.
3
Suppose -5*v - 10 = 0, p - 2*v + 8 = 22. Let k(t) be the third derivative of t**5/60 + t**4/12 - 3*t**2. Let s be k(-3). Solve -m - 3 = l, -4 = s*l - p for m.
-5
Let j = 131 + -129. Solve 5*x = j*d + 4 - 37, -3*x + 3*d - 27 = 0 for x.
-5
Let t be 25 + 2/(0 + 2). Suppose 31*x - t*x - 20 = 0. Solve 0*d + 8 = x*d - 2*l, -4*d - 2*l + 24 = 0 for d.
4
Suppose 3*p = -5*d + 37, p - 2*d = -3*d + 9. Solve 5*k + 4 = 2*q, p*k + q = -0*q - 11 for k.
-2
Let c = -59 + 62. Let d(h) = -h**3 + 4*h**2 - 3*h + 5. Let n be d(c). Solve 0*z + n = 2*r - 5*z, -5*r = z - 26 for r.
5
Let f(o) = o**3 - 7*o**2 + 5*o - 7. Let a be f(6). Let z = -35 - -22. Let p = z - a. Solve 5*h + 25 = -x, -h = -4*x - p*x + 5 for x.
0
Let v = 245 - 240. Solve 0 = -b - 3, 3*q - 4 = 3*b + v for q.
0
Suppose 28*f - 32*f + 20 = 0. Let i = -1 + 4. Let z be (-6)/(-3) + 18 - i. Solve f*q + z = -4*w, -4 = -2*q + 3*w - w for q.
-1
Suppose 4*q + 8 = -2*u - 8, 0 = u - 5*q - 20. Suppose 2*o - 10 = -u. Solve -o*n - v = -n + 1, 2*n = 3*v + 17 for n.
1
Let x = 1988 + -1983. Solve -12*z + 7*z = 4*k - 16, -x*k = -z - 20 for k.
4
Let r = 265 + -262. Solve d - 2*i = r, 0 = -d - 4*d + 4*i + 3 for d.
-1
Let d be 686/22 - (-2)/(-11). Let f = -29 + d. Solve -f*j + 14 = 4*c, 4*j = 5*c + 5 - 3 for c.
2
Let n(w) = w**3 + 5*w**2 - 5*w + 6. Let a be n(-6). Let t(c) = -10*c - 138. Let o be t(-14). Solve -o*b + a*q - 12 = -4*q, 0 = -3*b + q - 8 for b.
-2
Suppose 2*x - 14 + 6 = 0. Suppose 4*p + 34 = 5*v + 2, 0 = -3*v - x*p. Solve -w = -5*n - 24, -2*n = -6*n - v*w for n.
-4
Let y(q) = -2*q**3 - 2*q**2 + 3*q + 2. Let x(d) = -d**3 - 4*d**2 + 4*d - 7. Let p be x(-5). Let k be y(p). Solve 5*i - 4*j - 1 = -0, -k*i = 5*j - 9 for i.
1
Let n = -4 + 10. Let w be 0 - (n/(-3) + 2). Let k = 1045 + -1035. Solve w = -5*j - 5*i - k, j - 5*j - 2*i - 14 = 0 for j.
-5
Suppose -837 = -28*j - 3*j. Solve q - 26 = 5*g, -5*g - j + 6 = 4*q for q.
1
Suppose 92*p - 469 = 175. Solve 2*o = 5*g - 6, p*o - 8*o - 3 = g for o.
-3
Let g(q) = -q**2 + 12*q + 6. Suppose 60 = 6*j - j. Let c be g(j). Suppose 12 = -2*z + c*z. Solve 5*v + 5*t - 25 = 0, z*t - 14 = 1 for v.
0
Let f be 11 - (2 - 0/(-3)). Let o be 0 + 1 - (-11 + f). Solve 4*l + 25 = -8*p + 3*p, 0 = o*p -
|
{
"pile_set_name": "DM Mathematics"
}
|
90*w + 1146 = 306*w - 42 for w.
3
Solve 597*r - 5599 = -6607 - 7947 for r.
-15
Solve 0 = 2320*p + 5431 - 130711 for p.
54
Solve -779*p + 6025 - 14840 = 22345 for p.
-40
Solve -167*v = -58*v + 5893 + 2378 - 1949 for v.
-58
Solve 7877*o - 7901*o - 72 = 0 for o.
-3
Solve -2054*o + 1927*o - 426588 = -4128*o - 1612*o for o.
76
Solve 267*l - 176 = -4194 - 1000 - 589 for l.
-21
Solve -12*h + 17*h + 24*h - 32533 = -31025 for h.
52
Solve -57*b - 2606 = 20*b + 32*b + 1754 for b.
-40
Solve 1593*g - 13154*g - 163847 - 321715 = -104049 for g.
-33
Solve 713*s + 185*s - 69760 = -192*s for s.
64
Solve -9097*t + 20222 - 11250 = 5535 - 160309 for t.
18
Solve 5291*z + 7*z - 39298 = 2043 + 1043 for z.
8
Solve 403*s - 159*s - 2376*s = -74620 for s.
35
Solve -174*r + 1031054 = 1042538 for r.
-66
Solve 151825 = -98*k + 152609 for k.
8
Solve -705*t - 550*t - 189*t = 388*t - 58624 for t.
32
Solve 1230*z + 98606 - 24427 + 11921 = 0 for z.
-70
Solve 715800 = 3838*w + 6997*w - 3677*w for w.
100
Solve -384*g + 508 + 391 = -600 - 421 for g.
5
Solve 2096*n = 21*n + 13231 + 11669 for n.
12
Solve -19*i + 0*i - 69 = -5*i + 1 for i.
-5
Solve -25*m + 241*m - 19220 = -259*m - 145*m for m.
31
Solve 107*v - 1593 = 2698 + 952 for v.
49
Solve -219*x - 9*x + 16709 = 311*x for x.
31
Solve 5372*d = 14876 - 79340 for d.
-12
Solve -25079 - 39929 = -1787*c + 10046 for c.
42
Solve 9210 - 4457 = 47*b - 144*b for b.
-49
Solve 43*t + 55*t = 197*t + 2*t - 7777 for t.
77
Solve -888*i - 23166 = -566 - 1288 for i.
-24
Solve 361*r + 614410 + 250316 = 7978*r + 141111 for r.
95
Solve -330*t = 293*t - 181*t - 26962 for t.
61
Solve -516*u = 439*u + 711*u - 83300 for u.
50
Solve -46929 - 233017 - 46022 = -11729*b + 2444 for b.
28
Solve -11*w + 69 - 25 = -8*w - 46 for w.
30
Solve 30*l + 6*l - 14*l + 187 = -275 for l.
-21
Solve 974 + 2916 = 389*m for m.
10
Solve -1786*h = -181*h + 13633 + 8837 for h.
-14
Solve 1263*j + 42147 - 81968 = 52378 for j.
73
Solve -693*y = -718*y - 250 for y.
-10
Solve -711*z = -3693 + 44220 for z.
-57
Solve 139*y - 1948 + 1721 = 2275 for y.
18
Solve -43*r - 1255 + 570 = -1588 for r.
21
Solve 1521*x + 305*x - 44110 + 15526 = 37152 for x.
36
Solve -110947 = -4*i - 17*i - 110296 for i.
31
Solve 6568*u = 2175*u - 39537 for u.
-9
Solve 0 = -6367*t + 37*t + 75960 for t.
12
Solve -108*c + 5113*c = -2541*c - 166012 for c.
-22
Solve -k + 95 = 3*k + 46*k - 5 for k.
2
Solve -319*a + 19166 + 567 = -2229 - 13447 for a.
111
Solve 5960 - 977 + 4892 = -125*v for v.
-79
Solve 378 - 1594 = -112*q + 431 + 705 for q.
21
Solve -216*u - 30960 = 267*u + 549*u for u.
-30
Solve 0 = 17626*i - 5710*i - 59003 - 107821 for i.
14
Solve 53*o + 406*o - 4023 = 310*o for o.
27
Solve 172*p + 27417 = 93*p - 624*p for p.
-39
Solve -51992*f = -50517*f + 119475 for f.
-81
Solve -80431*p + 80197*p + 20358 = 0 for p.
87
Solve 29*x + 574*x + 15075 = 0 for x.
-25
Solve -606 + 9067 + 95139 = 2800*h for h.
37
Solve -685*j - 1136*j + 88*j - 991*j + 16344 = 0 for j.
6
Solve -167*n - 5193 = 281*n - 830*n + 8177 for n.
35
Solve -2704*f - 59719 - 14241 = 19104 + 134072 for f.
-84
Solve 0 = 2440*o + 4587*o - 107*o - 705840 for o.
102
Solve 38*x + 665 = 894 - 571 for x.
-9
Solve 4354797 = 69*l + 4352520 for l.
33
Solve 0 = -19*w + 19518 - 19651 for w.
-7
Solve -749*g - 129291 = 214*g + 404*g + 454*g for g.
-71
Solve -3*f - 35*f - 133 = -1159 for f.
27
Solve 261*m + 299 = -134 - 175 + 86 for m.
-2
Solve -99 = -2129*l - 12620 - 14718 + 1691 for l.
-12
Solve 30963 - 9241 = -2613*g - 12247 for g.
-13
Solve -3585*y + 89328 = 1161*y + 837*y for y.
16
Solve -190*r = -1426 + 7126 for r.
-30
Solve -414 = 182*m - 4992 - 4591 - 5573 for m.
81
Solve 68*f - 6203 - 3877 = 76*f - 368*f for f.
28
Solve 9464*c - 9530*c + 2866 = -3536 for c.
97
Solve 2142*n + 451*n + 518*n - 6186 = 18*n for n.
2
Solve -1341*j = 561*j + 136944 for j.
-72
Solve 0 = 1610*l + 1065503 - 1030083 for l.
-22
Solve 1204*o + 3572*o + 238322 = 667*o for o.
-58
Solve 57*g + 15626 = -544*g for g.
-26
Solve 0 = 30257*m - 1479000 - 1970533 - 181307 for m.
120
Solve -379*i - 406*i = -118*i + 277*i + 41536 for i.
-44
Solve -35774505*q + 21218 = -35774711*q for q.
-103
Solve 28725 - 38552 = 2465*t + 103563 for t.
-46
Solve 47*r + 391 - 592 = 10*r + 2093 for r.
62
Solve 69498055*i = 69498335*i - 280 for i.
1
Solve -31292 = -2*d - 58*d - 24572 for d.
112
Solve 24942*j + 3429 = 25069*j for j.
27
Solve 1736*a - 262650 = 6886*a for a.
-51
Solve 0 = 372*o + 8762723 - 8754539 for o.
-22
Solve 6*h + 14439495 - 14439597 = 0 for h.
17
Solve 0 = -216*i - 27729 + 26001 for i.
-8
Solve 0 = 38172*o - 38180*o - 352 for o.
-44
Solve -1005*h + 46161 = -271*h + 754*h - 2943 for h.
33
Solve -718*c + 231*c = 31872 + 808 + 14559 for c.
-97
Solve 11090*v + 520543 - 448371 = -1125548 for v.
-108
Solve -886 + 7798 = 192*x for x.
36
Solve -3978*z = -225098 - 25516 for z.
63
Solve 0 = -25820*s + 25839*s - 190 for s.
10
Solve -84*n = -1986 + 3834 for n.
-22
Solve -189*r + 4582 = -3167 for r.
41
Solve 1221*z + 12305 = 496*z + 563*z - 817 for z.
-81
Solve -53*n + 166 = -32*n - 233 for n.
19
Solve 112*n = 280745 - 282761 for n.
-18
Solve -801*i - 6632*i = 871455 - 31859 + 7766 for i.
-114
Solve 108*r + 163*r - 1610 = -257*r + 49606 for r.
97
Solve -88*i - 73*i - 16*i + 3030 = 126*i for i.
10
Solve 4497*f - 641222 + 151049 = 0 for f.
109
Solve 89*r + 8561 = -235*r + 25409 for r.
52
Solve 1524*d + 21622 + 66179 = -849*d for d.
-37
Solve -269*f - 223*f + 3714 + 3245 = -3865 for f.
22
Solve 2439*k + 79579 + 47249 = 0 for k.
-52
Solve 92*u - 35*u + 154*u = 2215 + 2216 for u.
21
Solve -1580063*a - 44400 = -1580655*a for a.
75
Solve 1309*v + 102008 - 24403 = -538*v + 436*v for v.
-55
Solve 5193*p + 36247 - 99403 = 100180 + 309227 for p.
91
Solve 41*h - 1047 = -3*h - 4083 for h.
-69
Solve 439*a + 47523 + 10668 = 13852 for a.
-101
Solve -384*y + 2255600 = 2271344 for y.
-41
Solve 299*w - 5444 - 9722 - 6758 = -3087 for w.
63
Solve -9528 - 7708 + 6228 = 1376*h for h.
-8
Solve -88*h = 6*h - 1688 + 5968 + 984 for h.
-56
Solve -1373*k + 6408 = -1729*k for k.
-18
Solve -101*m = -9525*m - 310992 for m.
-33
Solve -291608 - 77923 = 32836*h + 420419 + 589162 for h.
-42
Solve 416*h - 806*h - 146 = -380*h - 766 for h.
62
Solve -2*m + 58*m + 48485 = 48933 for m.
8
Solve 157275*j - 155152*j - 212300 = 0 for j.
100
Solve 1807 + 1656 + 1487 + 2425 = -125*u for u.
-59
Solve -17805*v = -10405*v + 495800 for v.
-67
Solve -2069 - 1219 = 165*s + 591 + 81 for s.
-24
Solve -30426 = 15*x - 30966 for x.
36
Solve -102*r - 847 = 1770 + 1404 - 145 for r.
-38
Solve -168 = 199*i + 4608 for i.
-24
Solve 11435 + 10789 = -463*n for n.
-48
Solve 1169 = -11*l + 883 for l.
-26
Solve -28*q = -47026098 + 47026602 for q.
-18
Solve 0 = 6031*c - 158716 + 78313 - 353829 for c.
72
Solve -15346*j - 493428 = -307*j + 3939*j for j.
-26
Solve -5103 = -61*i + 576*i + 5821 - 3199 for i.
-15
Solve -124*c - 1699 = 3385 for c.
-41
Solve 134*n = -1117 - 970 - 907 - 222 for n.
-24
Solve 64953 - 60857 = -128*j for j.
-32
Solve 30*n = -32*n + 1761 - 797 + 1268 for n.
36
Solve -73*f + 637 = 112*f - 136*f for f.
13
Solve -2132*i - 3614 + 1261 = -11471 - 5806 for i.
7
Solve 338005*h - 337913*h = 6808 for h.
74
Solve -1469*y + 8031 = 1701*y - 6563 - 1256 for y.
5
Solve 153*s - 50225 = -497*s - 375*s for s.
49
Solve 8990*j - 2437*j + 3688*j = -92169 for j.
-9
Solve -570*x + 20910 + 5876 = -8784 - 3760 for x.
69
Solve 865*s - 675*s + 1653*s = 22116 for s.
12
Solve 2072 = -106734*s + 106697*s for s.
-56
Solve -1168*y - 78079 = -1889*y - 1751*y + 62825 for y.
57
Solve 634 = 51*l + 2368 for l.
-34
Solve 19*y - 6*y - 100*y = 102*y - 6804 for y.
36
Solve -1871*t - 12025 = -542*t - 3971 + 18526 for t.
-20
Solve 37*a + 4496 = 780*a - 5906 for a.
14
Solve -138*i + 279224 = 6208*i for i.
44
Solve 1123*s - 61287 = -1253*s + 399*s for s.
31
Solve 2764 + 15384 = 992*q - 294*q for q.
26
Solve -106738 + 25774 = -2076*h for h.
39
Solve 167*h - 35*h - 8432 = -140*h for h.
31
Solve 6986*k = 7191*k - 17630 for k.
86
Solve -6*u + 130 = 2*u - 39 - 55 for u.
28
Solve -258*z + 459*z + 529*z - 5110 = 0 for z.
7
Solve -1615*x + 1396 - 2425 = 3816 for x.
-3
Solve 5216*d = 5360*d - 576 for d.
4
Solve 4137560*q = 4137507*q - 1749 for q.
-33
Solve 4024*r + 16987*r - 3810824 = 7006*r - 11571*r for r.
149
|
{
"pile_set_name": "DM Mathematics"
}
|
58
Solve -5*z - 15 = 87*h - 92*h, 42 = -13*h + 9*h - 5*z for h.
-3
Solve 3*w = 34*h + 21*h - 60*h - 65, -14*w + 90*w - 332 = -3*h for w.
5
Solve -3*x - t + 19 = -0, -x - 1630*t + 54 = -1626*t for x.
2
Solve 0 = 4*l - 4*r - 188, 105*l + r = -257*l + 5*r + 16656 for l.
46
Solve -w + 9*l + 34 = 3*l, -7*w + w + 3*l = -48 - 123 for w.
28
Solve 7*f = n - 27, 0 = 3*f + 3*n - 15 - 48 + 6 for f.
-1
Solve 4*v - 185 = 12*v - 5*y, 5601*y - 5603*y = 2*v + 3*v + 90 for v.
-20
Solve 913*n + 4*m - 12 - 8 = 918*n, 0 = 48*n - 5*m + 192 for n.
-4
Solve 8*y - 5*j + 49 = 0, 0 = 3*y - 2*j + 2732 - 2713 for y.
-3
Solve 10024*u + 2*k - 3 = 10019*u + 1, 0 = -u + 3*k - 23 for u.
-2
Solve -s + 93*x = -6*s - 99*x + 184*x - 69, 36 = -4*s - 4*x for s.
-1
Solve -5*t + 24 = 2*y, -2*t - 69 = -0*t + 4*y - 85 for t.
4
Solve -68964*p - 68 = -68966*p + 16*s, 3*s = -2*p - 8 for p.
2
Solve 3*q - q = 4*q + 5*b - 59, 28*b = -8*q + 15*b + 19*b - 50 for q.
2
Solve 0 = -4*g - 6*h + 10, 202*h + 214*h - 24 + 1 = -5*g + 419*h for g.
4
Solve 3*s - 5*s + 17*d = -s - 3*s - 17, -16*d = -11*d + 5 for s.
0
Solve -5*r + 9*r - 62 = l, -8*l + 5*r = -5*l + 81 for l.
-2
Solve -2505 + 2491 = x + 2*l, -16*x = -l - 73 for x.
4
Solve -24 = -5*q - 2*x, -q + 151 - 117 = 8*q - x for q.
4
Solve -2*f + 11829748 - 11829646 = 2*d, 5*f - 159 = -7*d + 98 for d.
1
Solve 2*t - 95 = 13*w, 0 = -t - 8*w - 103 + 78 for t.
15
Solve 42*z = 13*z + 32*z + 2*d - 6, 6*d + 2 = z for z.
2
Solve 5*p + 1079 = 4*d + 1090, 2*d + 0*d + 6 = 2*p for p.
-1
Solve 3*o - 5*t + 98 = 0, -127*t - 91 = 15*o - 131*t for o.
-1
Solve -5*d - 13 = 4*s, 5*s + 2184 = 3*d + 2177 for d.
-1
Solve 0*k + 4*k - 77*t - 12*t - 2059 = 0, 24 = 3*t + 93 for k.
3
Solve 4*q - 18*l - 17*l + 32*l - 195 = 0, -189 = -4*q - 3*l for q.
48
Solve -7*s + 310*l - 328 = s + 308*l, -4*s - 4*l = 184 for s.
-42
Solve 14*d = -5*y - 900, 548*y - 270*y + d = 282*y - 73 for y.
2
Solve q + 4*a + 27 = 0, -2366*q - 2*a - 18 = -2370*q for q.
1
Solve -m = 4*y - 1, m - 7707 = 4*y - 7698 for y.
-1
Solve -5*j = -10*u + 1350 - 875, -10*j - 200 = -5*u for j.
5
Solve 3*k + 25 = 2*z, 3*z + 357 - 334 = -k for k.
-11
Solve v = 2*m - 35, 131*m - 130*m + 4*v = -113 for m.
3
Solve -3510 + 3290 = -4*j + 2*g, 284 = 5*j + 2*g for j.
56
Solve -5*w + 280 = 60*m, 5*m + 21192*w - 52 = 21188*w for m.
4
Solve 5*a - 3*p = 39, -13541*a + 6*p = -13543*a - 42 for a.
3
Solve 573*j = -3*x + 1148*j - 572*j, 4*x + j + 18 = -x - 0*j for x.
-3
Solve -2*z = 2*c - 4*z - 14, 4*c - 88 = 9*c - 15*c + z for c.
9
Solve a + 5 = -0*a - 3*p + 3, 3*p - 19 = 3967*a - 3971*a for a.
7
Solve -12*d + 5*g + 2880 = -10*d + 2968, -4*d - 87 = -4*g - 7 for d.
-4
Solve -5*r - 22 - 567 = -9*h, -3*h + 46 = 16*r - 168 for h.
66
Solve 2403 = 35*x + 11*y + 891 - 1288, 4*x + 4*y - 117 - 203 = 0 for x.
80
Solve -49*g + 25*g + 26*g + 6 = 0, -7*o + 23 = -9*o - g for o.
-10
Solve -80 = -4687*q + 2343*q + 2347*q + 2*w, 3*q = 3*w - 90 for q.
-28
Solve -2*v + y = 17, 0 = 2*v + 16*y - 26525 + 26457 for v.
-6
Solve 2*c - 3393*i - 3394*i + 6780*i = 59, 4*c + 4*i = -8 for c.
5
Solve 518*a - 515*a + 11 = -5*z, -2*z = 5*a + 12 for z.
-1
Solve 2*r - 4 = -4*q + 46, -12*q - 1049 + 1186 = -7*r for r.
1
Solve 0 = -218*v + 3*s + 493 - 57, -17*v + 8 = -13*v + 3*s for v.
2
Solve 2*y + 3 + 7 = -3*c, 717*y - 13 = 2*c + 712*y for c.
-4
Solve 3*q - 39 = -4*t, 5*q = -t - 195 + 260 for q.
13
Solve -5*p + 2 = p - 4*p + 2*f, -233970 = -p - 2*f - 233974 for p.
6
Solve r + 23 = -4*w + 4, w = -2*w + 8*w + 4*r + 21 for w.
-5
Solve -13178*r + 13181*r - 5*g = 103, -5*r = 5*g - 105 for r.
26
Solve 4*a - 4*t = 7*a + 42, 3*a - 21*t + 9 = 192 for a.
-2
Solve 77*l - d + 328 = 0, 20*l - 5*d - 77 + 165 = -92 for l.
-4
Solve z + 4 = -5*c, -c + 452 = 2*z + 5*z + 446 for c.
-1
Solve 41*h = 44*h - 3*r + 51, 0 = 18*h + 5*r - 39 for h.
-2
Solve -215 = -5*i - 5*k, 0 = -2187*i + 2182*i + 3*k - 113 for i.
2
Solve -17*a = -2*o + 3, -o - 1 = -7*a + 3*a + 2 for o.
-7
Solve 3*p - 5*c = -165, -1 = -4586*p + 4582*p - c + 9 for p.
-5
Solve 2*m + 67*f + 95 = 7*m + 63*f, 52*m + 4*f + 320 = 2*f for m.
-5
Solve 4*m - 32 = 2*x - 14 - 23 + 37, 2*x - 18*m + 144 = 0 for x.
0
Solve 2*k - 14 = l, 3*l + 6*k = 43743 - 43737 for l.
-6
Solve -8532 = -3*h - 5*g - 8772, -3*h + 2*g + 117 = 0 for h.
5
Solve -4*a + 14 = 2*d, 28*a = -3*d - 27 + 4 for d.
11
Solve -t + 4*t + 56 = -0*o - 5*o, 3*t = -3*o - 30 for t.
3
Solve -27*l + 8*n - 24 - 37 = 0, 2*l - 3*n + 31 = 0 for l.
1
Solve -z + 2*w + 115 = 77, 0*z - 2*z = -3*w - 81 for z.
48
Solve 7*h + 7*h + 4*b - 172 = 13*h - 173, 3*b = 3*h - 12 for h.
3
Solve f + 9*w + 15*w = 4*f + 207 - 261, -5*w + 45 = 5*f for f.
10
Solve -5*x + 20 = -5*z + 9*z, 4*z + 0 = 6*x - 68 for z.
-5
Solve 0 = -9*c - 3*c - 8*c - 80, -4*c + 64 = 9*p - 25*p for p.
-5
Solve 1727649*z = 1727644*z + 45, 12*c + 5*z + 5 = 2 for c.
-4
Solve -20*c + 18*c - 56*c = -o + 809, -3*o + 2*c + 61 = -2*c - c for o.
-3
Solve -d + 3 = -0*d, -20*o + 242*d - 654 = -16*o for o.
18
Solve 0 = 59*l - 57*l + 10, -4*g + 60*l + 21 = 55*l for g.
-1
Solve -70*v - 407 = 3*y, -131*y + 134*y = 4*v - 37 for v.
-5
Solve -37 = -3*z + 10*q - 2*q - 212, -4*z + 20 = 2*q for z.
-5
Solve -6*l - 30*q = -37*q - 10, -1 = -l + q for l.
-3
Solve -d + q = -269 - 283 + 539, -2*q - 92 = 20*d for d.
-3
Solve -13*w = 3*p + 47, -3*w + 30 = -2*p - 22 + 79 for p.
6
Solve -4*b + b + 24 = -3*o, -4041*o + 4045*o = 3*b - 35 for b.
-3
Solve -34 = -v - 4*w, -11*v = -66*w + 137*w - 66*w - 218 for v.
18
Solve -4*h = -8, 1386*k + 4 = 696*k + 691*k + 4*h for k.
-4
Solve 994 = -y - 10*n - 87*n + 218, 4*n + 32 = 0 for y.
0
Solve g + 796 = 4*t + 723, -3*g = t - 2 for g.
-5
Solve 5*d + 91 = 2*w, -9*d + 19*d = -5*d - 5*w - 240 for d.
-17
Solve -4*b + 8 = -4*g, -2*b + 5*g - 1736175 + 1736188 = 0 for b.
-1
Solve 328112*b = -s + 328115*b + 79, 4*s - 284 = 4*b for s.
67
Solve -4*c - 34 = -2*o, 67*c - 67*c - 28*o = -15*o - 9*o - 12 for c.
-7
Solve -220*o - 337 = -219*o + 66*q - 12, o = 4*q + 13 + 12 for o.
5
Solve -5*m = -5, -8*n - 30*m + 54*m = 25*m + 5 + 9 + 9 for n.
-3
Solve 5*v - 44 = -4*t, 2*t - 24 = -3436*v + 3433*v for v.
4
Solve -5*t + 5*o = 35, 0 = 919*t - 917*t - 5*o + 23 for t.
-4
Solve 8988*n - 8993*n = 3*b - 228, 13*b - n = -32 for b.
1
Solve -3*v + 10 = -1901*z + 1895*z - 80, 2*z + 5*v = 150 for z.
0
Solve 3*x = 4*d + 113, 14*x + 5*d + 2421 = 2901 for x.
35
Solve -5302*x = -2*f - 5322*x + 74, -f - 4*x + 22 = -21 for f.
47
Solve -154 + 179 = -5*g, -w + 8*g + 54 = -0*w for w.
14
Solve 0 = 2*t + 3*h - 89, 86*h - 89*h - 86 = -3*t - 64 + 104 for t.
43
Solve 285 - 85 = -8*o + 4*o + 3*r, 0 = 3*o + 41*r - 2445 for o.
-5
Solve 8*o + v = 5*v - 12, -7*o - 3*v = -2*o - 0*v + 2 for o.
-1
Solve -5*o = 3*z - 104, -z + 1798 = 4*o + 1754 for o.
4
Solve -565*y = 3*g - 564*y + 47, 4*y + 18 = -2*g for g.
-17
Solve -4*x + 902*h - 898*h + 24 = 0, 1 - 49 = 2*x + 4*h for x.
-4
Solve -38473*m + 4*l + 13 = -38480*m, m + 7 = 2*l for m.
-3
Solve -2*t - 3*o = 74, 138903 = -13*t + 5*o + 138324 for t.
-43
Solve -5*s + 4*c - 38 = 0, 2*s + 93 + 79 = c + 161 for s.
-2
Solve 0 = -3*i - 2*l - 46, -5*i + 3*l - 93 + 94 = -87 for i.
2
Solve -238*n + 239*n + 110 = 5*u, -2*u + 3*u = -3*n - 0*n + 22 for n.
0
Solve -11*h - 30*h + 4*z + 2733 - 1597 = 0, 0 = 2*z - 6 for h.
28
Solve 2*s - 2*s = s - 46, w - 78*s + 286 = -3307 for w.
-5
Solve -7*n + 68 = 5*d - 2*d, -699*n + 60*d - 675 = -702*n for n.
5
Solve -4*m = 4, 2*m - 5 = -14*k + 100 + 75 for k.
13
Solve 18*x = 365*m - 368*m - 66, 4*x - 8 = 5*m for m.
-4
Solve 4*a + t = -0*a + 13, -180*t - 769 = -4*a + 71*t for a.
4
Solve 1171*c = 2*j + 2328*c - 1155*c + 16, 3*j - 2*c + 1 + 3 = 0 for j.
-4
Solve -7*i - 19*a = -138, 9*i + 26 = 8*a + 8*a - 15*a for i.
-2
Solve -3*d = -5633*c + 5629*c + 59, 127 = 2*c - 9*d for c.
5
Solve t - 535 + 518 = -2*l, 5*t - 37 = 2*l for l.
4
Solve 5*w = -5*l - 60, -l - 74 + 31 + 31 = -2*w for w.
0
Solve -u - 19*j + 17*j + 75 = 0, -28*j = 2*u - 1110 for u.
-5
Solve -30*c + 17*c - 35*q - 71 = -16*c, 2*c - 26 = 2*q for c.
12
Solve 4*o - 3530*q = -3534*q + 64, 5*o + 3*q - 84 = 0 for o.
18
Solve 11*g - 53 = 5*s + 13*g + 119, 9*g = -29*s + 28*s - 774 for s.
0
Solve -37*d + 113 = -0*z - 5*z - 35*d, 7*d - 313 = -10*z for z.
-3
Solve c - 3*x - 2*x = -6*x - 17, -3*c + 46*x = -194 for c.
-12
Solve -3*x - 10*a = 200, -27088 = -x - 4*a
|
{
"pile_set_name": "DM Mathematics"
}
|
-36)/(-112). Let w = i - 13/28. Which is the biggest value? (a) 0.3 (b) -1 (c) w
a
Suppose -40 = 4*u - 5*d, 3 = -4*u + d - 21. Which is the second biggest value? (a) -19 (b) u (c) 4
b
Let l = -3.23 - -0.23. What is the biggest value in -0.07, -4, l?
-0.07
Let o = -28 + 14. What is the smallest value in -0.1, o, -1?
o
Let r(f) = 8*f**3 + f - 1. Let c be r(1). Let h = c + -6. Let u be (h/(-3))/((-30)/9). What is the third smallest value in -1/8, u, -5?
u
Let a = 6.6 - 5. Let k = 3 + -1. Let d = k - a. What is the third biggest value in -0.5, -1, d?
-1
Let y = 39.3 + -39. Let p be (9/4)/3*2. What is the biggest value in 2, y, p?
2
Let u = -0.49 - -0.09. What is the second biggest value in 0.2, 2, u?
0.2
Let i be ((-19)/228)/((-2)/18). Which is the biggest value? (a) 1 (b) i (c) 0
a
Suppose 4*m = -5*q + 10, -28 = -3*m - m + 4*q. What is the third biggest value in 0.05, 3, m, 2/11?
2/11
Let i = 3 - 8. Let p = -21 + 65/3. Which is the third smallest value? (a) i (b) 0.5 (c) p
c
Let x = 104.1 - 104. Let k be (1/2)/((-3)/(-18)). What is the biggest value in x, 2, k?
k
Let v = -111/7 - -1429/91. Which is the second smallest value? (a) -0.5 (b) v (c) -19 (d) -2
d
Let j = -5 + 4.9. Let u = -0.02 - -0.02. Which is the biggest value? (a) u (b) -2/13 (c) j
a
Let x = -0.6 + -0.9. Let a = 4.5 - x. Let j = -5.6 + a. What is the third biggest value in -2, j, 0.5?
-2
Let z = -288/745 - 2/149. Let c = -1 - -1.4. What is the smallest value in z, -1/2, c?
-1/2
Suppose -j - 28 = -5*j - 4*i, -2*j + i + 29 = 0. Suppose -3*n + j = n. Let m be ((-2)/3)/((-5)/n). What is the smallest value in 0.3, -1/2, m?
-1/2
Let t = 1.3 - 0.3. Let i = 2 - t. Which is the smallest value? (a) i (b) -0.2 (c) 1/3
b
Let k = 4 - 3. Let w = 0.4 - 1.6. Let y = w + k. What is the biggest value in y, -0.5, -1?
y
Let k = 58.5 - 58. Let y = -7 - -1. Let l be (3/y)/((-10)/(-12)). Which is the third biggest value? (a) l (b) k (c) 1
a
Let x = 54 - 52. What is the smallest value in 4, -0.4, -5/2, x?
-5/2
Let s = -1/82 - -171/574. Let n = 0.2 - 0.3. What is the third biggest value in n, 5, s?
n
Let m = -778/35 - -156/7. Let y be 6/(-14) + 36/210. Let n = m + y. What is the third smallest value in 0.4, -1, n?
0.4
Suppose a = -4*l + 10, 2*l + l = -5*a - 1. Let h = -1/80 + -317/240. What is the third biggest value in l, h, -0.3?
h
Suppose -u = -5*v + 2*u + 3, v - u = -1. Let p = -0.1 - 0.1. Which is the second biggest value? (a) v (b) 2/13 (c) p
b
Suppose -4*k + 3*m + 27 = 0, k = -m - 1 - 1. Let f = 2 - 16. Let v = f + 14. Which is the smallest value? (a) -1/5 (b) v (c) k
a
Let f be 0/14 + 1/2. Which is the second biggest value? (a) 5 (b) 0.11 (c) -1/3 (d) f
d
Let u = -123 + 123.3. What is the third smallest value in -0.2, 0, 5, u?
u
Let v = -257/17 - -15. Let z = -0.164 - -0.064. What is the smallest value in 0.5, v, z?
v
Let n = -8 - -19. Let h = n - 16. Let v = 0.1 - 0.1. What is the third smallest value in v, 2/7, h?
2/7
Let u = 2 + -1.6. Which is the second smallest value? (a) u (b) 5 (c) -1/2
a
Let w = -61/782 - -830007/3910. Suppose 4*x - 4*k = 527 + 333, -k - 854 = -4*x. Let i = w - x. Which is the biggest value? (a) -1/4 (b) i (c) -5
a
Let v = -0.09 - -5.09. Let z = 1328/7 - 190. Which is the biggest value? (a) 2/7 (b) v (c) z
b
Let z be (-7 - 1)*(-2)/(-4). Let x be (-2)/332*(-12)/(-9). Let w = x - 1241/498. Which is the second smallest value? (a) z (b) -0.1 (c) w
c
Let p = 4 - 3.7. Suppose t - 3 = 2. Suppose 14*i - 9*i - t = 0. Which is the second biggest value? (a) i (b) 0.5 (c) p
b
Let f = 12 + -17. Let r = -167/123 - -1/41. Which is the biggest value? (a) 1 (b) f (c) r
a
Suppose -9*x = -5*x. Which is the second smallest value? (a) x (b) -1 (c) -20
b
Let r be 3*(-3 - (-31)/9). What is the third smallest value in 0.5, -0.3, r?
r
Let g = 0 + 0.1. What is the third biggest value in -4, 3, g?
-4
Let x = -147/5 + 3097/105. Suppose 6*v = v + 2*l - 27, -l + 1 = 0. Which is the third biggest value? (a) v (b) -2 (c) x
a
Let s be (-19 + 20)*2/(-7). What is the smallest value in 10, s, -0.4?
-0.4
Let h = -7 - -19. Let j = 14 - h. Which is the third biggest value? (a) 0 (b) 3/4 (c) j
a
Let a = 0.02 - -2.98. Let g = -2.8 + a. Let k = g - 0.5. What is the second smallest value in k, 2, 1/4?
1/4
Let l = -0.048 - 3.052. Let d = -3 - l. Let m = -31.8 - -32. Which is the second smallest value? (a) d (b) m (c) 4
b
Let i = -66 - -65.9. What is the biggest value in i, -2/7, -13?
i
Let u = 4 - 6. Let z = -0.3 - -0.4. Let l = 0.1 + z. Which is the third smallest value? (a) 3 (b) l (c) u
a
Let f = -0.153 - 0.047. Let k = -1.8 + 2. What is the biggest value in f, k, 1/8?
k
Let t = -92/3 - -31. Let z be 4 + 1 - (0 + 3). Which is the second smallest value? (a) z (b) 1 (c) t
b
Let k = 2 - -3. Let n = k - 7. Let r = 3 - 3.3. What is the second smallest value in 0.4, n, r?
r
Let i = 4/5 - 13/10. What is the third smallest value in -5, 3, i?
3
Let m(d) be the first derivative of -d**2/2 - 10*d - 3. Let g be m(-5). What is the second smallest value in g, 4, -0.2?
-0.2
Let c be ((-2)/(-5) + 0)*-25. What is the biggest value in 0.2, -1/3, c?
0.2
Let z(f) = f**2 - 1. Let s(j) = j**3 + 5*j**2 + j - 7. Let k(t) = s(t) - 5*z(t). Let a be k(0). What is the second biggest value in a, 3/2, -1?
-1
Let u = 2435/29 - 84. Which is the biggest value? (a) u (b) -4 (c) 3 (d) 4
d
Let y = 4 - 2. Let n = y + -1.8. What is the second smallest value in n, -4/5, -2?
-4/5
Suppose 0 = -d - d - 6. Suppose -5*a = -0*a - 75. Let f = a + -31/2. What is the second smallest value in f, 0.1, d?
f
Let c be (40/(-22) + 2)/(1 - 0). What is the fourth biggest value in -1/4, c, 2/3, -3/5?
-3/5
Let i(r) = 2*r**2 + 5*r + 5. Let v be i(-2). Which is the biggest value? (a) v (b) -2 (c) -5
a
Suppose -5 = -y - 3. Which is the third biggest value? (a) y (b) 2/11 (c) 5
b
Let v = -31 - -25.9. Let j = 0.1 + v. What is the second biggest value in j, 1, -2?
-2
Let j be ((-1)/4)/(1 - 1 - -1). Let w = 0.03 - -1.97. Let k = w + -5. Which is the smallest value? (a) j (b) k (c) -4
c
Let p = -18.33 + 21.2. Let q = 0.13 + p. Which is the biggest value? (a) -4/5 (b) 0.5 (c) q
c
Let t(m) = -m**2 + m + 1. Let l = -2 - -2. Let v be t(l). Which is the smallest value? (a) -4/7 (b) 1/7 (c) v
a
Let q(n) = -3*n + 40. Let v be q(12). What is the fourth smallest value in 1, -0.01, -0.4, v?
v
Let x = 41 + -286/7. Let c = -0.06 + 2.06. Let f = c + -2.02. What is the third smallest value in 3, f, x?
3
Let m be (-3)/(-2)*20/15. Let p(k) = k**3 - 2*k**2 + 4*k - 3. Let h be p(m). Which is the third smallest value? (a) -4 (b) h (c) 3
b
Let r = 17 - 13. What is the smallest value in -3/8, r, -4?
-4
Let s = 1.74 - -0.26. Which is the third smallest value? (a) 1.1 (b) -2 (c) s
c
Suppose -2*d - 4 = -0. Let s be (-5)/7 - d/2. Which is the third smallest value? (a) s (b) 2/11 (c) -3
a
Let f = 132.3 + 5.7. Let k = 135.98 - f. Let y = k - -0.02. Which is the second biggest value? (a) y (b) 0 (c) 1
b
Let k be 0 - ((-147)/164)/(-3). Let v = -2/41 - k. Let w = 0 - -0.1. Which is the biggest value? (a) 3 (b) v (c) w
a
Let m = -32.9 + 31. Let k = -2 - m. Which is the biggest value? (a) k (b) -5 (c) 4
c
Let p = 0.9 + 3.1. Let r(b) = 2*b**2 - b - 1. Let c be r(-1). What is the biggest value in p, c, 0.5?
p
Let u = 45 - 41. Which is the biggest value? (a) -0.1 (b) 1/3 (c) u (d) 0.2
c
Let c = 55 + -59.8. Let u = -0.1 + 0.9. Let q = u + c. What is the third biggest value in q, 5, 1?
q
Let h = -0.04 - -0.01. Let f = h + 0.03. Which is the second biggest value? (a) 3/4 (b) 2 (c) f
a
Let h = -5.3 + 5. What is the second biggest value in -0.6, h, -2/11?
h
Let h = 1.2 + 0.8. Let q = h - 5. What is the second biggest value in q, 0.4, -2?
-2
Let z = 0.8 + -53.8. Let g = 48.1 + z. Let o = g - -5. What is the second smallest value in o, 4/3, 1?
1
Let x = -13 - -14. What is the third biggest value in x, 3/2, 0?
0
Let x = -1.1 - 0.4. Let p = x - -2. What is the second biggest value in p, -3/2, 5?
p
Let i = -2.44 + 0.44. Let j = 3 - -2. What is the third smallest value in i, j, -0.2?
j
Suppose -g - n = 2*n + 8, -2*n + 18 = -4*g. Let z(k) = k**2 - 3*k - 36. Let i be z(8). Which is the smallest value? (a) i
|
{
"pile_set_name": "DM Mathematics"
}
|
*j + 25 = 4*j for c.
-2
Solve -5*l = 3*j + 18, -3*l - 19 = 2*l + 4*j for l.
-3
Solve b + 137 = -5*v + 121, -b - 1 = 2*v for v.
-5
Solve 4*m - 3*o = -o - 4, 0 = -2*m - 3*o - 18 for m.
-3
Solve -2*g + 5*n + 5 = -8, -3*g = 2*n + 9 for g.
-1
Solve -9 = 3*d - 5*z, 4*z - 3 = -3*d + 5*z for d.
2
Solve 5*f = -3*w + 26, 24 = -2*f + 3*w + 26 for f.
4
Solve 0 = 4*a - 4*m + 8, 0 = -a - 5*m - 13 - 7 for a.
-5
Solve -a + 5 = 4*t - 0*a, -2*t + 2*a - 10 = 0 for t.
0
Solve -3*n + 6*n = -4*q - 9, -2*n = -q + 6 for n.
-3
Solve 0*d = 4*k + 3*d - 5, 0 = 2*k - 2*d - 20 for k.
5
Solve 4*g = 3*t - 24 + 38, -3*t + 3*g = 12 for t.
-2
Solve 4*i - 1 = 3*j - 10, 4*i - 4*j = -12 for i.
0
Solve -4*b - 12 = -p, -p + 2*b + 0 = -6 for p.
0
Solve -h = h - 6, -i - 5*h + 16 = 0 for i.
1
Solve -4*b + 7 + 7 = -3*q, 0 = -2*q + 2*b - 8 for q.
-2
Solve 14 = -2*m - 2*m - 3*q, 0 = -m + 4*q + 6 for m.
-2
Solve 5*v - 19 + 54 = -4*z, 3*v + 3*z + 24 = 0 for v.
-3
Solve 3*n + 13 = -2*n - 3*t, 3*n + 2*t = -7 for n.
-5
Solve -4*s = 2*h + 2, 2*s - h - 7 = -2*s for s.
1
Solve 5*y + 3*f = -37, 4*f - 2*f = y - 3 for y.
-5
Solve 9*u + 122 - 86 = 5*f, -2*u - 8 = 4*f for f.
0
Solve 66*l + 4*b + 16 = 69*l, -12 = 3*b for l.
0
Solve -3*z + b = -1, -5*z + 4*b + 4 = -0*z for z.
0
Solve 0 = -4*v - 10 - 10, -5 = -5*q + v for q.
0
Solve -3*i + 5*y = i + 18, -5*i - 2*y = 6 for i.
-2
Solve 27 = -33*z + 36*z + 4*f, -f - 22 = -5*z for z.
5
Solve -109*d + 2*x = -105*d, 0 = 2*d + 2*x + 6 for d.
-1
Solve 3*g = 5*a + 22, -20 = -3*g - 8 for a.
-2
Solve 0 = -0*t + 3*t - 4*z - 17, 0 = 4*t - 2*z - 6 for t.
-1
Solve 2*x - 5 = -3*v, 0*v - v - 5 = -x for x.
4
Solve 3*n - 6 = h, -4*n + 4*h = -0 - 8 for n.
2
Solve -4*t = -110*j + 114*j + 8, 5*t - 4*j = -28 for t.
-4
Solve 0 = -3*u + 3*o, 17*u + 30 = 21*u + 2*o for u.
5
Solve -3*c = d - 0 - 1, 5 = 5*c for d.
-2
Solve -p = 3*q + 3, -24*q + 12 = -4*p - 27*q for p.
-3
Solve 2*v = -3*h - 8, -3*v - 5*h - 4 = 10 for v.
2
Solve -s - 9 = 3*m, s - 3*m + 4 = 19 for s.
3
Solve -5*c + 16 = -4*s + 21, 2*s - 5*c = -5 for s.
5
Solve -15 = -3*h - 7*l + 9*l, 0 = 5*h + 5*l - 25 for h.
5
Solve -u = -2*u - 5, t - 5*u - 20 = 0 for t.
-5
Solve -2*t + 16 = -4*y, 0 = 3*y - 5*y + 4*t - 14 for y.
-3
Solve -5*i - 16 = -3*z, 0*z + 5*z = -2*i + 6 for z.
2
Solve -l + 0*l = 5*n + 5, 4*l + 2*n - 16 = 0 for l.
5
Solve 19*r - 17*r - b = 8, -b + 2 = 3*r for r.
2
Solve -5*a - 21 = 2*q, -a + 17 = q - 4*a for q.
2
Solve 14*k = 9*k + 15, -1 = p - k for p.
2
Solve 16*m = 3*c + 9*m - 20, 0 = 3*c - 3*m - 12 for c.
2
Solve 13 = 114*y - 115*y - 4*v, -4*y = -4*v + 12 for y.
-5
Solve 3*p - 27 = -3*l, 0*l - 22 = -2*l - 3*p for l.
5
Solve -16*o - v = -12*o - 20, -5 = -o - 4*v for o.
5
Solve 3*f - 1 = -l, 41*f + 2*l = 42*f + 9 for f.
-1
Solve -3*h = -5*h + 4*m - 14, 3*m = 4*h + 18 for h.
-3
Solve -18 = -4*g - 2*r - 12, g + 5*r = -21 for g.
4
Solve -2*g + 28 = 5*a, -56*g = -53*g - 3*a for g.
4
Solve -4*t + 0*t = -3*x - 1, t + 16 = 4*x for x.
5
Solve 3*w = 5*d - 35, 8 = 3*w + 2*d + 15 for w.
-5
Solve t + 4*p + 23 = 0, 3 = -t - 5*p - 25 for t.
-3
Solve 22*x = 21*x, 15 = 5*y + 3*x for y.
3
Solve 2*z + 5 = z + 2*p, -5*p = -5*z - 5 for z.
3
Solve 0*v + 1 = -3*v - 2*u, -2*u = -2*v + 16 for v.
3
Solve -t = -26*p + 25*p + 1, 4*t = -4*p - 20 for t.
-3
Solve -3*m = -5*z + 14, 5*m - 3*z + 0 + 2 = 0 for m.
2
Solve 3*x = -3*d + 3, -1 = 4*d + 2*x + 3 for d.
-3
Solve -6 = 3*t + v, 4*t + 10*v + 8 = 5*v for t.
-2
Solve -o + t = 0, o - 3 = -19*t + 17*t for o.
1
Solve 3*p = -2*h - 3 - 12, -5*p = 3*h + 25 for p.
-5
Solve 7 = -2*v + 2*l + 1, 4*v + 14 = 3*l for v.
-5
Solve 0 = s - j + 2, 33*s - 26 = 38*s + 3*j for s.
-4
Solve a + 125*k + 9 = 122*k, 0 = -3*a - k - 3 for a.
0
Solve 5*w + 4 = 3*q + 2, -4*q - 5*w - 9 = 0 for q.
-1
Solve 0 = 4*s + 4*i - 24, 0 = -2*i - 3 + 9 for s.
3
Solve -3*g - 2*c + 17 = 0, 3*g + 4*c - 36 = -11 for g.
3
Solve -4 - 2 = -2*h, 0 = u - 2*h + 11 for u.
-5
Solve -2*v - 3 = 3*i, 0 = -2*i - 3*v + 2*v - 1 for i.
1
Solve -2*g - 16 = -4*w, 4*w + 4 = g + 18 for w.
3
Solve -2 = -2*w - 3*m, 2*w + 0*w = 2*m + 12 for w.
4
Solve 4*d - 107*g + 102*g = 4, -4*d - 4*g - 32 = 0 for d.
-4
Solve 0 = 4*h - 12*h - 8, -4*h - 14 = -2*b for b.
5
Solve -11*g = -12*g + 2*b + 11, -4 = 4*g + 4*b for g.
3
Solve -2*w = -4*r, -14 = r + 3*w - 0*w for r.
-2
Solve -5*v - 10 = 3*r, 7*v - r + 6 = -8 for v.
-2
Solve 15*p - z + 17 = 11*p, 10 = 2*z for p.
-3
Solve y - 5*y - 5*l + 30 = 0, -2*y - 4*l = -18 for y.
5
Solve j + 5*d = 21, j + 10*d = 14*d - 15 for j.
1
Solve 2*w - 3*n - 11 = 0, 5*w - 3*n + 5*n + 20 = 0 for w.
-2
Solve 0 = -5*k - 5, 5*q - 4*k + 2*k - 7 = 0 for q.
1
Solve t - 8 = 2*h, -2*h - 2*t - 8 = -0 for h.
-4
Solve 0 = 4*c + 12, 3*r = 19*c - 20*c - 3 for r.
0
Solve -5*s - 17*x = -21*x - 3, -4*s - x = -15 for s.
3
Solve -2*r = -3*g + 10, 234*r + 7 = g + 237*r for g.
4
Solve -22*g - 10 = -27*g - 2*b, -b = 5*g - 15 for g.
4
Solve -4*y + 4*t = -12, -63*y - 5*t + 9 = -60*y for y.
3
Solve -h - w = -2, 2*h + 3*h = 5*w + 40 for h.
5
Solve 2*p = -10, -2*s + p + p + 4 = 0 for s.
-3
Solve 3*z - 6*z - 3*l - 6 = 0, 0 = -4*z + l - 8 for z.
-2
Solve 5*v + 0*v = 2*w - 18, 4*v + 2*w + 18 = 0 for v.
-4
Solve 3*g - 15 - 3 = n, 29 = -3*n + 4*g for n.
-3
Solve 4*u - 5*m = -2, 139*m = -4*u + 135*m - 20 for u.
-3
Solve 5*o + d + 1 = 18, 2*d = 4*o - 8 for o.
3
Solve -2*q = -3*q - 4*t - 16, 0 = 5*q + 3*t + 12 for q.
0
Solve -30 = -3*a - 0*y + 3*y, -3*y = 5*a - 10 for a.
5
Solve -4*q = p + 2*p - 34, p = 4*q - 26 for p.
2
Solve 5*r - 2*b + 2 = 0, -57*r + 4*b = -53*r - 8 for r.
-2
Solve 0 = 8*v - 5*l - 41, -3*l - 25 = 2*l for v.
2
Solve 5*p - 13 = -4*h, 4*p - 67*h + 66*h + 19 = 0 for p.
-3
Solve 6*z + 4*r = -17 + 37, 10 = 2*r for z.
0
Solve 9*y - 5*s - 33 = 0, -y - 4*s + 50 = 60 for y.
2
Solve -p - 3 = -g, -5*g + 114*p - 110*p + 16 = 0 for g.
4
Solve -3*l - 47 + 53 = -2*q, q = 2*l - 3 for l.
0
Solve 0*d = 3*d - 4*a - 21, a = -5*d + 12 for d.
3
Solve 4*k - 4*g + 8 = 0, -8*g + 10*g = 4 for k.
0
Solve 35 - 41 = -2*g - 2*i, -5*g = 2*i - 18 for g.
4
Solve 3*j - 2*j = -6*f + 15, 3*j = 2*f + 5 for f.
2
Solve z - 3 = -r, -3*r - 2*z = -4*z + 1 for r.
1
Solve 5*g + 27 = g + 3*x, 5*g - x + 20 = 0 for g.
-3
Solve 5 = -5*t - 3*w, 4*t + 2*w = 10 - 14 for t.
-1
Solve a = -5*g - 8, -19*a + 15*a - 5*g = 17 for a.
-3
Solve -3*x = -3*z - x - 3, -5*z - 5 = -2*x for z.
-1
Solve -2*x = -5*d - 35, -2*x = -11 + 1 for d.
-5
Solve 0 = 4*p - 4, 0 = -5*m - 24*p + 22*p + 12 for m.
2
Solve -3*x + 8*x - 23 = 3*g, -12 = -2*x + 4*g for x.
4
Solve -4*n = 2*w - 2, 0 = 2*n - w - 3*w + 4 for n.
0
Solve s - f = 3, 0 = -2*s - s + 2*f + 6 for s.
0
Solve -7*o = -3*j - 4*o - 3, -3*o - 12 = 0 for j.
-5
Solve x - 2 = 3*b - 0*x, 0 = 3*b + 2*x + 5 for b.
-1
Solve -c + 9 = 4*c + 4*a, 2*a - 7 = -5*c for c.
1
Solve 4*x - 5*z - 8 = -28, -4*x = 3*z + 20 for x.
-5
Solve -5*l = -2*q - 11, 5*l - 2*l = -q for q.
-3
Solve -2*x = -2 + 8, 14*r - 4*x = -30 for r.
-3
Solve 2*w + 1533*q - 1529*q = 8, 0 = 4*w + 4*q - 12 for w.
2
Solve -t + 4*b = 4*t + 2, -2*t - b - 6 = 0 for t.
-2
Solve -y = -2*y - 5*j + 6, -5*y + 5*j = 30 for y.
-4
Solve -4*z - 2*j - 6 = 0, 0*j - 15 = 5*z - 5*j for z.
-2
Solve n - 3*r = 11, -r + 6*r = -2*n - 11 for n.
2
Solve -h = -5*d - 7, 8*d + 8 = 4*d for h.
-3
Solve -2*y - 8 = 3*p, -2*p + y + 1 = -4*y for p.
-2
Solve 28 = 4*w + 3*u, -w - 2*w - 2*u = -20 for w.
4
Solve 9 = -2*w - 5*a - 13, -3*w = -a - 1 for w.
-1
Solve i + 2*k = 11, 0*k + 13 = 3*i + 2*k for i.
1
Solve 0 = -2*o + 5*l + 21, -3*o + 5*l - 10 + 34 = 0 for o.
3
Solve 2*t = -4*g - 14, 26*t = 30*t + 5*g + 25 for t.
-5
Solve -5*b - 4*j + 6 = 0, -b - 2 = 3*j - 1 for b.
2
Solve 2*l = -5*v - 31, 2*l + 7 = 5*v + 26 for v.
-5
Solve 0 = -f - 2, 4*h + 2*f = -0*f - 8 for h.
-1
Solve -w + o = 6, -4*w + 26*o - 24*o - 18 = 0 for w.
-3
Solve 5*s + 4*n = -21, 4*s + n - 9 = -17 for s.
-1
Solve 5*k + 5*g + 25 = 0, -51*k + 50*k + 3*g + 15 = 0 for k.
0
Solve -3*a - 15 = -8*a - 4*x, -2*x = -a + 3 for a.
3
Solve 5*t = 20, -3*w + 199 = 2*t + 185 for w.
2
Solve -4*d - 8 = 4*s, 4*d + d - 18 = 2*s for d.
2
Solve -27*b + 22*b = i + 21, 27 = -2*i - 5*b for i.
-6
Solve 5*b - r = 13, 4*b + r = -3*r - 4 for b.
2
Solve 3*m = -5*d + 30, 13*d + m - 11 = 11*d for d.
3
Solve 4*p - 14*s - 8 = -16*s, 8 = 2*p + 2*s for p.
0
Solve -8*j + 4*f - 27 = -5*j, 12 = 4*f for j.
-5
Solve -y = 3,
|
{
"pile_set_name": "DM Mathematics"
}
|
Let u(g) = 8*g**3 - 3*g**2 + 165*g - 639. Determine u(4).
485
Let x(z) = 248*z + 2225. Give x(-9).
-7
Let k(u) = 2*u**3 + 173*u**2 - 108*u - 1831. Determine k(-87).
-4
Let s(z) = -1303*z + 23448. Give s(18).
-6
Let j(l) = -18*l**3 + 2*l**2 + 323*l + 322. Determine j(-1).
19
Let n(z) = 877*z + 8760. What is n(-10)?
-10
Let m(a) = -54*a + 2820. Give m(50).
120
Let f(b) = 403*b - 1490. Calculate f(4).
122
Let y(c) = -58*c**2 + 458*c + 49. Calculate y(8).
1
Let s(n) = -4937*n + 93803. Give s(19).
0
Let u(h) = 774*h - 1060. Calculate u(2).
488
Let a(o) = -7*o**2 - 3*o + 138. What is a(5)?
-52
Let y(v) = v**2 + 23*v - 16. Calculate y(-18).
-106
Let d(s) = -s**2 - 38*s + 541. Give d(-49).
2
Let q(w) = -w - 120. What is q(-59)?
-61
Let q(k) = 4749*k + 14242. What is q(-3)?
-5
Let b(t) = t**3 + 6*t**2 - 82*t - 526. Calculate b(-7).
-1
Let c(w) = -w**2 + 15*w + 96. Calculate c(20).
-4
Let r(c) = 716*c + 5009. What is r(-7)?
-3
Let o(u) = -49*u**3 - 6*u**2 + 16*u - 4. Determine o(2).
-388
Let j(k) = 2*k**3 - 20*k**2 + 8*k - 13. Calculate j(10).
67
Let i(b) = -b**3 + 31*b**2 + 31*b + 95. Determine i(32).
63
Let l(m) = -88*m + 3140. Give l(36).
-28
Let z(q) = 2*q**3 + 4*q**2 - 8*q + 2. Determine z(-4).
-30
Let t(m) = -16*m**2 - 48*m + 106. Determine t(2).
-54
Let y(p) = p**3 - 52*p**2 + 677*p - 57. Give y(27).
-3
Let h(c) = -10*c**3 + 19*c**2 - 38*c + 74. Calculate h(2).
-6
Let z(v) = v**3 + 16*v**2 + 54*v - 7. Calculate z(-11).
4
Let g(i) = -125*i**3 - 2*i**2 + 4*i + 5. Give g(-1).
124
Let o(i) = i**2 + 324*i + 6659. What is o(-22)?
15
Let k(b) = -b**2 - 138*b - 1380. What is k(-127)?
17
Let r(w) = w**3 + 7*w**2 + 24*w + 185. Determine r(-8).
-71
Let g(c) = -c**3 - 32*c**2 - 260*c - 89. Determine g(-17).
-4
Let o(p) = -p**2 + 3*p + 136. Calculate o(13).
6
Let c(j) = 6640*j + 39832. What is c(-6)?
-8
Let p(i) = 4*i. Give p(7).
28
Let q(z) = z**2 + 60*z + 317. Determine q(-53).
-54
Let f(b) = -b**2 + 22*b + 9879. What is f(111)?
0
Let h(b) = -2*b**3 + 88*b**2 + 105*b - 641. Calculate h(45).
34
Let m(r) = -7*r**2 + 116*r + 428. Give m(20).
-52
Let j(l) = l**2 + 17*l - 101. What is j(-14)?
-143
Let p(l) = -3*l**2 + 145*l + 62. Calculate p(50).
-188
Let v(y) = -21*y - 1491. Calculate v(-57).
-294
Let k(s) = -s**2 + 11*s - 40. Determine k(7).
-12
Let l(w) = -w**3 - 10*w**2 - 18*w - 22. What is l(-8)?
-6
Let y(c) = c**2 - 12*c - 1972. Give y(-34).
-408
Let s(z) = z**2 + 35*z + 315. Calculate s(-18).
9
Let c(d) = 2*d**3 - 5*d**2 - 294*d + 870. Determine c(3).
-3
Let j(c) = -10*c**2 - 18*c - 58. Give j(-3).
-94
Let t(b) = b**3 - 6*b**2 - 161*b + 1104. What is t(7)?
26
Let m(o) = 239*o**2 + 6*o + 1. What is m(-1)?
234
Let p(a) = -2*a**3 - 28*a**2 - 65*a - 3. Give p(-11).
-14
Let r(a) = -6*a + 82. Determine r(7).
40
Let d(j) = 2*j**2 + 15*j + 8. Calculate d(-15).
233
Let x(t) = 77*t - 8911. Determine x(116).
21
Let q(k) = 19*k + 492. What is q(-27)?
-21
Let k(n) = 9*n**2 - 25*n + 6. Determine k(3).
12
Let q(p) = -p**3 + 125*p - 54. Determine q(11).
-10
Let u(y) = -323*y + 10883. Determine u(34).
-99
Let w(m) = 81*m + 68. Give w(2).
230
Let l(k) = -59*k + 8075. Calculate l(137).
-8
Let q(p) = -p**2 - 546*p - 3788. Determine q(-7).
-15
Let y(u) = -4*u**3 + 157*u**2 + 116*u + 175. Determine y(40).
15
Let n(b) = 160*b - 6008. Calculate n(38).
72
Let w(m) = -2*m**2 + 72*m - 69. Give w(35).
1
Let d(n) = 24*n + 34. Give d(-2).
-14
Let w(k) = -17*k - 104. Calculate w(-8).
32
Let t(i) = -21*i**2 + 188*i + 11. Calculate t(9).
2
Let u(o) = 9*o**3 - 58*o**2 + 16*o - 27. Give u(6).
-75
Let d(x) = -6*x - 37. Give d(-5).
-7
Let j(x) = 10707*x - 21417. Calculate j(2).
-3
Let d(p) = -p**3 + 157*p**2 - 491*p + 4426. Give d(154).
-40
Let g(w) = 383*w - 158186. Calculate g(413).
-7
Let h(a) = -2*a**2 + 24*a - 83. Give h(7).
-13
Let q(n) = -n**2 - 25*n - 221. Calculate q(-11).
-67
Let r(d) = -5*d**3 - 30*d**2 - 55*d - 330. What is r(-6)?
0
Let h(y) = y**2 - 82*y + 1578. Give h(31).
-3
Let t(b) = b**3 - 4*b**2 - 56*b + 207. Calculate t(7).
-38
Let y(b) = 2*b**2 - 32*b + 253. Calculate y(6).
133
Let u(v) = 2015*v - 2022. Give u(1).
-7
Let t(u) = -3*u - 123. Calculate t(-23).
-54
Let k(s) = 4*s**3 - 60*s**2 + 99*s + 10. Give k(13).
-55
Let g(a) = a**2 - 13*a + 41. What is g(10)?
11
Let f(l) = -8*l**2 - 45*l. What is f(-9)?
-243
Let y(p) = p**3 - 5*p**2 + 34*p - 80. Calculate y(3).
4
Let t(a) = -a**3 - 35*a**2 + 1588*a + 132. Give t(-61).
10
Let w(v) = -v**3 - 83*v**2 + 98*v + 8126. Determine w(-83).
-8
Let x(j) = 13538*j - 81229. What is x(6)?
-1
Let t(x) = -x**3 + 8*x**2 + 100*x - 96. Determine t(15).
-171
Let h(m) = 3*m**2 - 14*m + 44. Give h(4).
36
Let s(p) = -306*p**2 + 74*p - 74. Give s(1).
-306
Let d(r) = 5*r**3 + 24*r**2 - 14*r - 98. Calculate d(-5).
-53
Let o(q) = -q - 17. Determine o(-65).
48
Let j(l) = -l**3 + 29*l**2 - 77*l - 9. Give j(26).
17
Let y(f) = f**3 - 2*f**2 - 550*f + 2176. Give y(4).
8
Let c(g) = 15*g**3 + g**2 - 6*g. What is c(2)?
112
Let r(h) = h**3 + 90*h**2 + 870*h + 62. Calculate r(-79).
-17
Let b(k) = -k + 70. Calculate b(13).
57
Let z(t) = -48*t + 3448. Calculate z(72).
-8
Let z(v) = -v**3 + 8*v**2 - 329*v + 1893. Determine z(6).
-9
Let w(c) = -210*c + 17009. Give w(81).
-1
Let d(y) = 20*y + 1067. Calculate d(-60).
-133
Let o(c) = -c**2 + 30*c + 6279. Determine o(-66).
-57
Let v(d) = 26*d + 279. Give v(-6).
123
Let m(l) = -l**3 - 8*l**2 - 29*l - 6. Calculate m(-5).
64
Let o(p) = -6*p**3 + 515*p**2 + 74*p + 1035. Give o(86).
3
Let o(p) = p**3 + 2*p**2 - 24*p + 3. Calculate o(-7).
-74
Let n(a) = 438*a + 5706. What is n(-13)?
12
Let r(i) = -395*i - 14613. Give r(-37).
2
Let b(m) = -27*m - 242. Calculate b(-14).
136
Let f(j) = -5*j**2 + 5*j + 294. What is f(13)?
-486
Let x(i) = 3*i**2 - 337*i + 438. Determine x(111).
-6
Let k(b) = b**2 - 66*b - 26. Give k(67).
41
Let m(s) = s**3 + 86*s**2 + 881*s - 522. Determine m(-74).
-4
Let z(h) = h**3 + 13*h**2 + 37*h - 9. What is z(-4)?
-13
Let c(y) = 102*y + 307. Give c(-4).
-101
Let m(d) = d**3 - 52*d**2 + 313*d - 20. Calculate m(7).
-34
Let v(h) = -h**3 - 14*h**2 + 398*h + 186. Determine v(-28).
18
Let t(m) = -59*m + 296. Give t(4).
60
Let x(p) = -32*p**2 - 81*p - 303. Determine x(-4).
-491
Let m(u) = 2*u**2 + 70*u + 93. Calculate m(-32).
-99
Let j(l) = l**3 + 76*l**2 + 216*l - 41. Determine j(-73).
178
Let c(s) = -10955*s - 197194. Give c(-18).
-4
Let k(f) = -2*f**2 - 144*f + 1083. Give k(7).
-23
Let z(s) = 4*s**2 - 141*s - 35. Calculate z(36).
73
Let b(u) = -836*u**2 - 15047*u + 19. Give b(-18).
1
Let s(o) = 24*o - 307. Calculate s(13).
5
Let x(z) = -z**2 + 47*z + 261. Calculate x(51).
57
Let m(h) = h**2 + 85*h - 1308. What is m(13)?
-34
Let o(d) = -2*d**3 + 18*d**2 - 12*d - 8. What is o(9)?
-116
Let u(f) = -f**3 - 65*f**2 - 124*f + 116. What is u(-63)?
-10
Let h(x) = 3*x**3 - 16*x**2 - 62*x + 237. Calculate h(4).
-75
Let p(g) = -g**3 - 5*g**2 + 3*g - 8. What is p(0)?
-8
Let s(i) = -9*i**2 + 50*i + 10. Give s(6).
-14
Let y(v) = v**3 - 18*v**2 + 3*v - 64. Give y(16).
-528
Let m(s) = -s**2 - 50*s + 401. Calculate m(7).
2
Let u(f) = -f**3 - 101*f**2 + 1104*f - 680. Give u(-111).
-14
Let i(c) = -c**3 - 12*c**2 - 4*c - 87. Determine i(-14).
361
Let u(q) = -26*q + 1235. What is u(48)?
-13
Let w(f) = f**3 - 10*f**2 - f + 50. Give w(3).
-16
Let h(v) = v**3 + 11*v**2 + 10*v - 16. Determine h(-8).
96
Let s(o) = o**2 - 4*o + 90. Calculate s(10).
150
Let i(q) = 37*q + 1208. What is i(-32)?
24
Let x(u) = 395*u - 51352. What is x(130)?
-2
Let t(b) = -3*b**2 + 17*b + 237. Give t(-16).
-803
Let h(n) = -39*n + 2027. Calculate h(56).
-157
Let a(f) = 299*f - 3910. What is a(13)?
-23
Let v(m) = 3*m**2 + 41*m - 1644. Give v(-31).
-32
Let g(a) = 5*a**2 + 8*a - 71. Give g(3).
-2
Let z(k) = 1400*k + 8376. What is z(-6)?
-24
Let l(d) = 8*d**2 - 32*d + 93. Give l(3).
69
Let r(w) = 1069*w + 5387. What is r(-5)?
42
Let s(p) = -2*p**3 - 68*p**2 + 5*p + 199. What is s(-34)?
29
Let i(j) = -j**3 - 3*j**2 - 19*j - 63. Give i(-3).
-6
Let x(z) = -13*z + 62. Calculate x(-1).
75
Let v(f) = 44*f - 3634. Determine v(83).
18
Let t(f) = 11*f**3 - 130*f**2 - 29*f + 79. What is t(12)?
19
Let f(d) = -201*d**3 + 2013*d**2 - 32*d + 19. Determine f(10).
-1
Let v(w) = 68*w + 965. Determine v(-13).
81
Let s(z) = 7*z**2 + 526*z - 12. Calculate s(-75).
-87
Let f(x)
|
{
"pile_set_name": "DM Mathematics"
}
|
tens digit of o?
1
Let p be (-16)/20 + (-93)/15. Let v(d) = -d**3 - 6*d**2 - 4*d + 12. What is the tens digit of v(p)?
8
Suppose -2*p - 16 + 20 = 0. Suppose -z = -p*h - 162, 750 = 4*z + z + 2*h. What is the units digit of z?
2
Let l = -2221 - -3407. What is the thousands digit of l?
1
Let a(f) = f**2 - 8*f - 7. Let i be a(9). Suppose -i*b + 267 = -3*q, -9 = 5*b - 5*q - 674. Suppose -b = -6*n + 234. What is the units digit of n?
1
Let d = -69 - -527. What is the units digit of d?
8
Let h(o) = -o**3 + 6*o**2 + 65. What is the units digit of h(6)?
5
Suppose -3*s - 4*y = -2470, 5*s - 20*y = -17*y + 4165. What is the units digit of s?
0
Suppose 3*k + 105 = 1023. What is the units digit of k?
6
Let g = -5681 - -10621. What is the thousands digit of g?
4
Let o = 29 + -35. What is the units digit of (-3)/o*-2 - 272/(-4)?
7
Let j(u) = -4*u**3 + u - 1. Suppose -7 = 4*k - 15. Let r be k/15 - 128/60. What is the tens digit of j(r)?
2
Let z be (30/18 + 1)/((-1)/3). What is the hundreds digit of (3 - (-28)/z) + (-307)/(-2)?
1
Suppose -5*y - 2*a - 60 + 296 = 0, 5*y - 215 = 5*a. Suppose y = 5*z + 16. Suppose 0*v - z = -v + q, v + 3*q = 2. What is the units digit of v?
5
Suppose 0 = j - 4*j. Let l = 3 - j. Suppose l*a - 7*a = -20. What is the units digit of a?
5
Let c(q) be the second derivative of -q**5/60 - q**4/4 - q**3/3 + 5*q. Let m(o) be the second derivative of c(o). What is the units digit of m(-4)?
2
Let k(x) = x**3 - 12*x**2 + 5*x + 2. Let w = -103 - -115. What is the tens digit of k(w)?
6
Let q(k) = k**2 - 3*k + 3. Suppose -4*v + 2*v = -16. Suppose g - 3*g = -v. What is the units digit of q(g)?
7
Let n(a) = a**2 - 7*a - 5. Suppose 9*b - 8 = 11*b. Let o = 4 - b. What is the units digit of n(o)?
3
Let t be (2 - 0)/(-2) - (1 - 2). Suppose 4*k + t = 72. What is the units digit of k?
8
Let i be (82/(-6))/(3/(-9)). Suppose -44*w + 183 = -i*w. What is the units digit of w?
1
Let m(x) = -2*x**3 - 4*x**2 - x + 22. What is the hundreds digit of m(-7)?
5
Suppose 9*q = -5*q + 4*q. Suppose 4*x + 2*p - 122 = q, p = 4*x + 2*p - 123. What is the tens digit of x?
3
Suppose 3*s - 6 = -0, s - 5637 = -5*q. What is the units digit of q?
7
Let b = 201 - 101. What is the tens digit of b?
0
Let d(h) = -259*h + 79. What is the units digit of d(-6)?
3
Suppose 5*c + 24 = 7*c. Let d = c - -5. What is the units digit of d?
7
Let q = -56 + 84. Suppose 0*m - 20 = -4*r + 2*m, 5*r - 4*m - q = 0. Suppose -169 = -3*x - s, 9*x - r*x - 263 = 3*s. What is the units digit of x?
5
Suppose w - 14*w + 15275 = 0. What is the tens digit of w?
7
Let i be ((-2)/(-4))/((-1)/(-8)). Suppose -92 = -i*z + 164. Let p = 118 - z. What is the units digit of p?
4
Suppose -4*g + 3*k + 9180 = 0, -7*g = -3*g - 5*k - 9188. What is the units digit of g?
2
Let k(m) = -m**3 - m**2 + m - 50. Let z be k(0). Let b be z/(-8) + 6/8. Let x(f) = 3*f - 7. What is the units digit of x(b)?
4
Let f = 205 + 974. What is the tens digit of f?
7
Suppose 3*u - 197 = -5*t, -t + 0*u + 33 = -u. Let q = -14 + t. Suppose -2*w + 8 = -3*f + 1, -3*w + q = -2*f. What is the units digit of w?
1
What is the tens digit of (3150/135)/((-4)/(-90))?
2
Suppose 252 = -j + 4*j. Suppose -2*v = 8, w = 5*v - 3*v + j. What is the units digit of w?
6
Suppose -16*y = -5*i - 11*y + 170, -2*i - 5*y = -47. What is the tens digit of i?
3
Let u(b) = b**3 + 4*b**2 - 5*b + 1. Let l(v) = -v - 8. Let t be l(-5). What is the tens digit of u(t)?
2
Suppose -20*t = -19*t - 955. What is the hundreds digit of t?
9
Let v(c) = -22*c**2 - 3*c. Let h(z) = 67*z**2 + 9*z. Let p(x) = 6*h(x) + 17*v(x). What is the tens digit of p(-3)?
4
Suppose -k = -4*j - 624, 3 = -5*j + 28. Suppose -3*n = n - k. What is the units digit of n?
1
Suppose -108*r - 12948 = -111*r. What is the tens digit of r?
1
Let n = -31 + 34. Let l be n - 404/(3 + -5). Let a = l - 145. What is the units digit of a?
0
Suppose i - 2*i = 3*o - 8743, -2*i + 2916 = o. What is the thousands digit of o?
2
Suppose 0 = -j - 4*w + 24, -2*w - 3*w = -5*j + 170. Let d = 55 - j. Suppose -6 = h + 3*u, u = 2*h - 0*h - d. What is the units digit of h?
9
Let t(b) = 65*b**2. Let y be t(1). Let l = y + -23. What is the units digit of l?
2
Let y = 52 + -52. Suppose w + 2*r + 1 = 11, y = -2*w - 5*r + 19. What is the units digit of w?
2
Let f be 4*((-10)/4 - -3). Suppose 4*w + 2*z + f*z = 0, -w - 4*z - 15 = 0. Suppose 0 = -4*i + w*i - 30. What is the tens digit of i?
3
Let g(c) = 3*c + 111. Let a be g(6). Let r = -29 + -35. Let k = a + r. What is the tens digit of k?
6
Let v = 944 + -509. What is the hundreds digit of v?
4
Let a(j) = -7*j - 23. Let v be a(-3). Suppose -4*f + 6*z = z + 29, 0 = 2*f + z - 3. What is the tens digit of f*v*56/4?
2
Suppose 9*z = 8*z - 47. Let k = 76 + z. Let b = 65 - k. What is the units digit of b?
6
Suppose 9*j - 4*j - 15 = 0. Suppose -36 - 9 = -j*s. What is the tens digit of s?
1
Let v(n) = n**3 - 2*n**2 + n. Let h be v(2). Let r(d) = -d**2 + 6*d - 2. Let q be r(-5). What is the units digit of q/(-2)*h/3?
9
Suppose 0 = -2*q - 4*n + 2086, -q + 35*n = 32*n - 1028. What is the tens digit of q?
3
Suppose -2*b + 1634 = 3*t - 3*b, -5*t = -4*b - 2735. What is the units digit of t?
3
Suppose 3*i - 80 = -8. Let z = -18 + i. Suppose 0*j - z*j = -30. What is the units digit of j?
5
Let j(t) = -44*t + 3. Let m(x) = -x**3 - 12*x**2 + 13*x - 4. Let c be m(-13). What is the units digit of j(c)?
9
Suppose 0 = 63*b - 43144 - 76745. What is the tens digit of b?
0
Let s = 191 + 93. Suppose -s = 6*j - 968. What is the hundreds digit of j?
1
Let n(p) = 2*p**2 - 6*p + 11. Let i = 17 + -12. What is the units digit of n(i)?
1
Let t(v) = -v**3 - 6*v**2 + 4*v - 50. What is the tens digit of t(-11)?
1
Suppose -2*t - 18 = -2*l, -5*l - 95 = 4*t + t. Let r be (-16)/40 + t/(-10). What is the units digit of (r + -2)*(-15 + 5)?
0
Suppose 3*d - 1 = -5*l, -5*l = 6 - 1. Suppose 2*o + 5*j = 27, 18 = d*o - 0*j + 2*j. What is the tens digit of (30/o)/(2/4)?
1
Suppose 0*q - 45 = -5*q. Let p = -254 - -265. Suppose 0 = -h + q + p. What is the units digit of h?
0
Suppose -32*k + 26890 + 19734 = 0. What is the hundreds digit of k?
4
Let i = -1268 - -1974. What is the tens digit of i?
0
Let i = -17 - -36. Let q be 12/9*(3 + 3). Let h = i + q. What is the units digit of h?
7
Let j be 5 + -1 + -3 + -1. Suppose j = 26*d - 24*d - 232. What is the tens digit of d?
1
Suppose -5*a - 7*d = -3*d - 18392, -3*a = -5*d - 11050. What is the thousands digit of a?
3
Let n(s) = -s**3 - 2*s**2 + s - 16. What is the units digit of n(-6)?
2
Let q(y) be the first derivative of y**4/4 - 2*y**3 - y**2/2 + 13*y + 8. What is the units digit of q(6)?
7
Let a = -6 - -10. What is the tens digit of (-401)/(-6) + 7/168*a?
6
Let c = 587 - 301. What is the hundreds digit of c?
2
Let u(y) = -11*y**2 - 33*y - 31. Let r(m) = 4*m**2 + 11*m + 10. Let c(j) = -8*r(j) - 3*u(j). What is the units digit of c(-16)?
3
Suppose 0 = 6*s - 11 - 7. Suppose 7*d = s*d + 1132. What is the units digit of d?
3
Let o(k) = -5*k. Let f be o(2). Let c = f - -14. Suppose 0*y - c*y = -104. What is the units digit of y?
6
Suppose -3*d + 89 - 23 = 0. Let b = d - -13. What is the units digit of b?
5
Suppose -7349 = -15*w + 16441. What is the units digit of w?
6
Let s(l) = 37*l - 76. What is the tens digit of s(24)?
1
What is the units digit of (-9)/(-5 + 2) - -262*3?
9
Let j = -10 + 30. Suppose -k + 0*k + b - 1 = 0, 4*b = j. What is the units digit of k?
4
Let y be 94/6 + (-2)/(-6). Let f = 177 + -174. Let p = f + y. What is the tens digit of p?
1
Let w(r) = 6*r**2 - 246 + 210 + 5*r**2 + 10*r - r**3. What is the units digit of w(11)?
4
Suppose -42 = -8*u - 2. Suppose -4*y + u*z + 132 + 131 = 0, 15 = -5*z. What is the tens digit of y?
6
What is the units digit of (-1)/(6/104*2/(-36))?
2
Suppose 316 = -3*w - t, 3*t + 20 = 7*t. Let h = 152 + w. What is the tens digit of h?
4
Let h(q) = -q**3 - 3*q**2 - 2*q - 3. Let l be h(-3). Suppose 0*o - 2*o - 260 = -4*r, -525 = 4*o - l*r. What is the units digit of o/(-4) + -1*2?
1
Let h(x) = -x**3 - 6*x - 8. Let k be h(-2). Suppose -540 = 9*f - k*f. What is the units digit of f?
0
Suppose -19*q + 21537 = -10*q. What is the hundreds digit of q?
3
Suppose 59*p + 4148 = 63*p. What is the hundreds digit of p?
0
Let a be (-290)/22 + (-4)/(-22). Let o = a + 34. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
base 9, what is -188876 - 435?
-200422
In base 14, what is 614 - -6ddbc?
705d2
In base 16, what is 3eb3e8 + 1f?
3eb407
In base 12, what is 32a1 + 631?
3912
In base 9, what is -734387 - -400?
-733887
In base 11, what is 96 - 104944?
-104859
In base 5, what is -4 + 23333301102?
23333301043
In base 4, what is -113332211013 - -3?
-113332211010
In base 2, what is 0 - 1110000100001010001000?
-1110000100001010001000
In base 7, what is -306 - -610660?
610351
In base 5, what is 14313130 - -423?
14314103
In base 11, what is -4 + -41426847?
-41426850
In base 13, what is cb22 + 83?
cba5
In base 11, what is 54628882 + 2?
54628884
In base 10, what is -136 + -73656?
-73792
In base 4, what is -112233122 - 1113300?
-120013022
In base 15, what is 25d9 + -32a77?
-3048d
In base 7, what is -10 - 6312134?
-6312144
In base 6, what is -30315 + 503245?
432530
In base 16, what is -12b9 + 37aa?
24f1
In base 7, what is -2056 + -11142123?
-11144212
In base 2, what is 1110101010101111111011000111 - 100?
1110101010101111111011000011
In base 11, what is -1431a728 - -7?
-1431a721
In base 4, what is -2300 - 131211302200?
-131211311100
In base 4, what is 230110 - -23210033?
30100203
In base 5, what is 11243412 + -14242?
11224120
In base 4, what is -323200 + 232010?
-31130
In base 7, what is -32630 - -56404?
23444
In base 12, what is 13a32900 - -3?
13a32903
In base 9, what is -2 - 1568017?
-1568020
In base 10, what is -11 - 1306230?
-1306241
In base 2, what is -110010100011 - 1001000101001?
-1111011001100
In base 7, what is -3 - -14322116?
14322113
In base 8, what is -5647716 - -130?
-5647566
In base 6, what is 335401 - -532?
340333
In base 10, what is -1787474 + 4?
-1787470
In base 14, what is 410 - 1c1b?
-180b
In base 4, what is -2 - -2323012013312?
2323012013310
In base 9, what is 75 - -1676384?
1676470
In base 16, what is -148d8f - 2?
-148d91
In base 7, what is -34 - 10264142?
-10264206
In base 12, what is 85 - 75825?
-75760
In base 3, what is 12 + -11201102021020202?
-11201102021020120
In base 15, what is -deb07 - 94?
-deb9b
In base 14, what is -1 - 3524b34?
-3524b35
In base 11, what is -554 + -1097?
-1640
In base 7, what is 5 + 161163150?
161163155
In base 2, what is -11000110110110100010101 + -11110100?
-11000110110111000001001
In base 10, what is 52225 - -2742?
54967
In base 15, what is 7 - 654082?
-65407a
In base 5, what is -2 + -22431311043?
-22431311100
In base 12, what is -1b077 - -70?
-1b007
In base 9, what is -1213 - -668042?
666728
In base 9, what is -76705 - 2?
-76707
In base 9, what is 2554 + -10667?
-7113
In base 5, what is 3244121 - 12403?
3231213
In base 13, what is 406289a + 3?
40628a0
In base 3, what is 121220 + 20022002?
20220222
In base 15, what is 17 + -b5b03d?
-b5b026
In base 15, what is -55 - -2d854d?
2d84e8
In base 9, what is -3108646 + -5?
-3108652
In base 14, what is 9b138a + -45?
9b1345
In base 14, what is 2 + 1b2406a?
1b2406c
In base 10, what is -313 + -400815?
-401128
In base 3, what is -10120012001021210 + 10?
-10120012001021200
In base 2, what is 10110000 - -1101100110?
10000010110
In base 14, what is 41c - -56?
474
In base 14, what is 1c0 - -34aa?
368a
In base 7, what is 664230 - 11404?
652523
In base 4, what is 1132322013103 - -3?
1132322013112
In base 2, what is -110010 - -110001110110111?
110001110000101
In base 13, what is -3b2b9008 - 0?
-3b2b9008
In base 4, what is 112203 + -203220?
-31011
In base 14, what is -53 + 25dc63?
25dc10
In base 10, what is 135 - -1660327?
1660462
In base 7, what is 5 + 16263624?
16263632
In base 3, what is 2011200111220 - -1?
2011200111221
In base 12, what is 174525 - -a5?
17460a
In base 5, what is 2424022402 + -3?
2424022344
In base 9, what is 53101 - -3341?
56442
In base 2, what is -1000010001100 + 1011010011111100?
1010010001110000
In base 14, what is -c - 2c6cad?
-2c6cbb
In base 14, what is -88 - -25b84?
25ada
In base 5, what is 134432 - 3143?
131234
In base 10, what is 21671 + 723?
22394
In base 13, what is -1 - 43303?
-43304
In base 6, what is -3501151 - -155?
-3500552
In base 15, what is -1698bb4 + -1?
-1698bb5
In base 6, what is 1 - -30444434?
30444435
In base 2, what is -111001100100001101 - 110?
-111001100100010011
In base 3, what is 102112120122 + -22220?
102112020202
In base 8, what is 10260 + -1744?
6314
In base 15, what is -6 + 381e4?
381dd
In base 2, what is -11001001011000010 + -110111101?
-11001010001111111
In base 15, what is -d + 919dec?
919dde
In base 14, what is -15bb62 - 67?
-15bbc9
In base 4, what is 203322 - -110203?
320131
In base 5, what is 2004120 + -231?
2003334
In base 15, what is -87 - 128461?
-1284e8
In base 9, what is 1106015 + 368?
1106384
In base 7, what is 3 + 1130561411?
1130561414
In base 5, what is -4243 - -111013423?
111004130
In base 7, what is -53215131 + 5?
-53215123
In base 9, what is 856 - -22414?
23371
In base 11, what is -19 - 1595a5?
-159613
In base 8, what is -1104455415 + 6?
-1104455407
In base 8, what is 333121 + 10?
333131
In base 8, what is 66 + 23707?
23775
In base 7, what is -130526144 + 1?
-130526143
In base 2, what is 100100000101011 + 111101111101?
101011110101000
In base 12, what is -b2a9b63a + 1?
-b2a9b639
In base 15, what is 2c + 185224?
185251
In base 6, what is 11115033 - -202?
11115235
In base 3, what is -200222101221212 + 10?
-200222101221202
In base 10, what is -30 - -805335?
805305
In base 3, what is -120112110111100200 - -1?
-120112110111100122
In base 5, what is -1332242 + 124?
-1332113
In base 13, what is -1a13 - -98b1?
7b9b
In base 11, what is 3126658 + 2?
312665a
In base 16, what is -3f - -a5e02d?
a5dfee
In base 15, what is -9 - 249309?
-249313
In base 10, what is -6 + -1791082?
-1791088
In base 10, what is 9479396 + -3?
9479393
In base 14, what is -3 - 123c6dc?
-123c701
In base 12, what is -1400a - 1b542?
-33550
In base 12, what is -299690a5 - -4?
-299690a1
In base 4, what is 30123 - -1221221223?
1221312012
In base 11, what is -37880 - -59?
-37822
In base 10, what is 616270 - 129?
616141
In base 7, what is -3 + 152214052?
152214046
In base 4, what is -121332 + 311331?
123333
In base 6, what is 105123333 - -343?
105124120
In base 3, what is -200212200 + -1101120?
-202021020
In base 9, what is 4 + -8841825?
-8841821
In base 8, what is 0 - -516641252?
516641252
In base 4, what is -1211113 + 131031?
-1020022
In base 9, what is -103045 + 326?
-102618
In base 4, what is -210312103201 - -10?
-210312103131
In base 13, what is 867527c + -5?
8675277
In base 12, what is b421 - -231?
b652
In base 10, what is 42234741 + 15?
42234756
In base 9, what is 0 - -332844045?
332844045
In base 2, what is 11011000000001111 - 10100001011010?
11000011110110101
In base 3, what is 1222111110 - 1001211?
1221102122
In base 8, what is 500221674 + 1?
500221675
In base 10, what is -2255308 - 1?
-2255309
In base 14, what is 0 - -6b3d599?
6b3d599
In base 9, what is 2306 + -10120?
-6713
In base 3, what is 122011 + 2221202210?
2222101221
In base 10, what is -1 + 80501331?
80501330
In base 15, what is d54 + 3dd8e?
3ebe3
In base 5, what is 4123301 + 240?
4124041
In base 6, what is 5 + 551525541?
551525550
In base 2, what is 10011 + 10110010110001101001111?
10110010110001101100010
In base 4, what is -302322130 - -103?
-302322021
In base 14, what is -1863 + -a88?
-250b
In base 15, what is -22 - -59eb9?
59e97
In base 7, what is 2214556 + -44?
2214512
In base 4, what is 1103302210 - 2201?
1103300003
In base 5, what is -3 - 33122322024?
-33122322032
In base 13, what is -930060 - -10?
-930050
In base 4, what is 10121 + 102222033?
102232220
In base 15, what is -28770 - -70?
-28700
In base 4, what is -1201 + -121023120?
-121030321
In base 10, what is 78 + -364991?
-364913
In base 11, what is 243 + -a6643?
-a6400
In base 9, what is 1 + 5162000?
5162001
In base 6, what is -251140 + 35?
-251101
In base 4, what is 21102 + 1033101133?
1033122301
In base 7, what is -2465 + -64400?
-100165
In base 15, what is -4470 + 466?
-4009
In base 11, what is 4915 - 614?
4301
In base 5, what is 1 - -410302222?
410302223
In base 16, what is 73 + d7d?
df0
In base 14, what is 7d3c54 - -2?
7d3c56
In base 16, what is 1e56 + -147?
1d0f
In base 4, what is 111333112330222 + 0?
111333112330222
In base 12, what is -3bb1b6 - 70?
-3bb266
In base 10, what is -10530908 + -2?
-10530910
In base 5, what is 32 + 1002
|
{
"pile_set_name": "DM Mathematics"
}
|
to n in 1.5, -1, v?
v
Let s = 656 - 655.5. What is the nearest to 0 in -0.01, -3, s?
-0.01
Let k = 35.2 + -2.2. Let j = -33 + k. Which is the nearest to 1/2? (a) j (b) -1 (c) 3/2
a
Let q = 12 - 16. Let i = 5.013 + -0.013. What is the nearest to -2/11 in 1, q, i?
1
Let u(p) = -p**2 + 11*p - 13. Let w be u(10). Suppose x - 1 = -4. Let q = x + 0. Which is the nearest to w? (a) 0.1 (b) 0 (c) q
c
Let f = 0.74 - -0.93. Let g = -0.03 - f. What is the nearest to g in 1, -3, 0.3?
-3
Let j = -27.4 - -27.5. Which is the closest to j? (a) -1/9 (b) 0 (c) -3
b
Let d = 0.25 + -0.35. Let c = 161 - 801/5. Let m be (-64)/(-44) - (1 + 1). What is the closest to d in -4, m, c?
m
Suppose -2*h - 38 = -3*u, 5*u + 2*h - 58 = -0*h. Suppose 2*w + u = -4*y - 8, -2*y - 5*w = 18. Which is the closest to 1/2? (a) 0.4 (b) -2 (c) y
a
Let w = 0.8 + 0.2. Suppose g = -40 + 115. Let h be (-3)/2*5/g. Which is the nearest to 1? (a) -2 (b) h (c) w
c
Let z(f) = -1. Let k(r) = -r - 9. Let v(m) = -2*k(m) + 6*z(m). Let g be v(-5). Suppose 0 = -9*d + 8*d + 1. What is the closest to g in 0.05, 4, d?
d
Let p = -124 - -623/5. Which is the closest to 0.2? (a) -2/7 (b) p (c) -0.3
b
Let y = -5 - -3.3. Let o = 1.6 + y. Which is the closest to o? (a) -2 (b) -1 (c) -4
b
Suppose 0 = -11*m + 13*m + 304. Let i = m - -147. Let q be 5*((-12)/5)/2. Which is the nearest to 0? (a) 4 (b) q (c) i
a
Suppose -2*n + 2*q - 60 = -0*n, -58 = 2*n - 3*q. Let h be (-2)/(-8) - 24/n. Let r = -3 + 2. Which is the nearest to h? (a) -0.1 (b) 5 (c) r
a
Let l = 6.2 - 0.2. Let j = 6.4 - l. Let k = 31.2 - 31. Which is the nearest to -0.1? (a) 0 (b) k (c) j
a
Let f(m) = -m**2 - 10*m - 12. Let p be f(-9). Let g be 23*((-2 - p) + -2). Let z = -22 - g. Which is the closest to z? (a) -3/7 (b) -4 (c) -0.4
c
Suppose 0 = 40*o - 1067 + 387. Which is the closest to -1? (a) 5/2 (b) o (c) -0.5 (d) 1
c
Let d = -3.5 - -3. Let n be (-2 - 66/(-28))*(-8)/(-10). Which is the nearest to 0? (a) d (b) n (c) -1
b
Let n = 147 - 147.2. What is the nearest to n in 5, 7/8, -2?
7/8
Let f = -34 + 37.8. Let h = f - 0.8. Let r = 5.1278 + -0.1278. Which is the nearest to r? (a) 0.1 (b) h (c) -2/13
b
Let o(l) = 15*l - 91. Let p be o(6). Which is the nearest to p? (a) 0.4 (b) -3 (c) 1/87 (d) 2/11
c
Let j = 0.112 + 0.288. Let r = 0.008 - -0.992. What is the closest to r in j, -1, 4/3?
4/3
Let d = -17.82 - -14.82. Let l = 2.4 - 0.4. What is the nearest to 2/9 in -5/3, l, d?
l
Let m be 3*1*(-2)/(-18). Let i(l) = 3*l**2 - 71*l - 14. Let x be i(24). What is the closest to 0.1 in x, -2/9, m?
m
Let h = 34.039 + -0.039. Let v = -35 + h. What is the closest to -0.1 in v, 2/3, 4?
2/3
Let g = 1.12 - 8.42. Let l = -5.3 - g. What is the closest to l in 2/15, -1/9, 3/5?
3/5
Let k = -0.22 - -3.72. Let d = k + -2.9. Let n = -0.4 + d. What is the closest to -1 in -0.1, n, 1/2?
-0.1
Let u = -0.3 + -1.7. Let s be 5/20*(-258)/10. Let f = s - -31/5. Which is the nearest to u? (a) f (b) 0.3 (c) -4
a
Suppose -24 = -3*v + 5*n, -3*v + 2*v = -6*n - 21. Let i = 1 + -1.3. Which is the closest to 0? (a) -0.4 (b) i (c) v
b
Let k = -38 - -34. Which is the closest to -1? (a) 7/5 (b) 1/3 (c) 4 (d) k
b
Let r = -69554 - -627766/9. Let j = r + -198. Let l = 85 + -89. Which is the closest to -1? (a) j (b) l (c) -0.1
a
Let d be (-1 + 4/1)*10/(-3). Let o(j) = -j**3 - 9*j**2 + 9*j - 3. Let t be o(d). Which is the nearest to 0? (a) -4 (b) t (c) 0
c
Let f = -3/47 - 26/329. Let a = 2.0031 + -0.0031. What is the closest to -1 in a, f, 4?
f
Let a = -177.1 - -177. What is the closest to 1/5 in 0.01, 5, a?
0.01
Suppose 34*t + 27 - 1149 = 0. Which is the closest to t? (a) 1/2 (b) 2/5 (c) 4
c
Let i = 9518 + -9517.9. Let x = 102643/1563 + -2/521. Let v = -65 + x. What is the closest to i in 5, 2, v?
v
Let o = 41 + -40.992. Let u = -0.292 - o. What is the closest to 0.2 in u, -2, -1?
u
Let s = -305 - -3967/13. Suppose m + 5*d = 5, 3*d = -m + 7*d - 13. Let k = 7 + m. Which is the closest to s? (a) -4 (b) k (c) -0.3
c
Let h be (2/(-228))/(3/(-30)). Let f = h - -59/627. What is the nearest to 0.1 in f, 1/4, -0.4?
f
Let g = 2729/10 + -273. What is the closest to 2/9 in -4, 0.6, g?
g
Let o = 288 - 288. Let l = 0 + 0.1. What is the closest to -1 in -1, o, l?
-1
Let v = -3.11 + 1.11. Let t = 6.5 - 6. Which is the closest to t? (a) 0 (b) -3 (c) v
a
Let z = -11981/4 + 2995. What is the nearest to -2/5 in z, -4, 0.4?
z
Suppose -36*u + 38*u + 10 = 0. What is the nearest to -0.4 in u, 0.5, 0?
0
Let d = 0.16 + 7.84. Which is the closest to -1? (a) d (b) -1/5 (c) 0.1
b
Let n = 0.1 + 0.1. Let h = 476 - 476. Let r = h - n. What is the closest to r in 1/2, 2, -5?
1/2
Let r = -2235.5 - -2235. Which is the nearest to 1? (a) r (b) -6/409 (c) -4
b
Let v = 4.1172 - 0.1172. Let m = -1.1 - -0.1. Which is the nearest to m? (a) 0 (b) v (c) 3/7
a
Let q(n) = -n**2 + 8*n + 34. Let r be q(-3). What is the closest to -0.1 in 7, r, 0.2, 5?
0.2
Let q = -1.2 - -1.2. Let s = 92.9 + -93. Which is the nearest to s? (a) -51 (b) -0.4 (c) q
c
Let v = 35.1 - 36. Let l = -5.9 - v. Which is the nearest to -0.9? (a) 1/4 (b) l (c) -3
a
Let d = 81/553 + -2/553. What is the closest to d in 1/3, -3, 0.07?
0.07
Let m be ((-20)/14)/(-4 - 64/(-14)). Let r = 129/2 + -63. Which is the closest to m? (a) -0.3 (b) -2 (c) r
b
Let k = -333.9 - -334. Let t(y) = y**2 + y. Let j be t(-2). Which is the closest to -1/9? (a) k (b) -2 (c) j
a
Let t be (-32)/(-80)*(-20)/36. What is the nearest to -399 in t, 2/3, -0.5?
-0.5
Suppose -s + 3*p = 3, 7 + 9 = 4*s + 2*p. Suppose -3*g + 0 - s = 0. Let w = 58 + -59. What is the nearest to w in -18, g, 2/3?
g
Let a = -87 - -263/3. Let x = -51 - -48.9. Let i = -2.4 - x. What is the closest to 0.2 in a, 0.4, i?
0.4
Let j = -613 - -612.7. What is the closest to j in -0.3, -0.06, 0.5, 2?
-0.3
Let c(r) = 62*r - 10. Let l be c(3). Let y = l + -1230/7. What is the nearest to y in 5, 0, 2?
0
Let h be (2/(-7))/(6 - 7). Suppose m + 2*m - 3 = 0. Let s = -28 - -29. Which is the nearest to m? (a) 4/7 (b) s (c) h
b
Let u = -0.062 + 33.062. Let h = u + -28. What is the closest to 1/3 in h, -4, -2/15?
-2/15
Let z = 1 + -1. Let o = 1.451 + -1.53. Let j = o + -0.121. Which is the nearest to z? (a) j (b) -2/13 (c) 5
b
Let l be -7 + 224/35 - 82/(-70). Let z = 0.3 + 0.7. Let f = 0.8 - z. What is the closest to l in f, -2, 1?
1
Let g = 2 + -2.1. Let w = 0 - 0. Let j(r) = r**3 - 6*r**2 + 10*r - 61. Let t be j(6). What is the nearest to g in 1, t, w?
w
Let i = -0.16 + 0.26. Let z(r) = -3*r**2 + 9*r - 3. Let m be z(2). Which is the nearest to i? (a) m (b) 9 (c) 0.3
c
Let g = 6 - 9. Let q = -65 - -67. Suppose 5*p = 15, n + 4*p + q - 14 = 0. What is the nearest to n in g, -5, 1?
1
Let d = -0.43 + 0.03. Let f = 2282.7 - 2283. What is the nearest to -1/9 in d, -2/9, f?
-2/9
Let h = -2222/15 - -148. Which is the nearest to h? (a) -27 (b) 4 (c) -1/6
c
Let q = -0.922 - -4.112. Which is the nearest to q? (a) 1 (b) -2/9 (c) 2
c
Let m = -10007/1334 - -1/667. Which is the nearest to 0.1? (a) m (b) -5 (c) 5
c
Let i = 4.2 + -2.1. Let x = 56 - 54.9. Let f = x - i. Which is the closest to f? (a) 2/7 (b) -2/13 (c) 5/3
b
Let r be (1/(-3))/((-5)/6). Let q be 2/(3*(-4)/(-6)). Let n = 0 + q. What is the nearest to 0.2 in 3, r, n?
r
Let z = -4.54 - -4.64. What is the nearest to z in -0.044, 2/9, 2/11?
2/11
Let i = -9 + 24. Let u = -22 + i. Which is the closest to -2/3? (a) 5 (b) -4/7 (c) u
b
Let z = -9.1 + 9. Let i = -5 + 4.76. Let h = i - -5.24. Which is the closest to -2? (a) 0.2 (b) z (c) h
b
Let s = 9 - 15. Let g = -5 - s. Let i = g - 5. What is the closest to -1/3 in -1/2, i, -3?
-1/2
Let d = 25 + -33. Let w = -0.207 + -11.693. Let i = 12 + w. Which is the closest to i? (a) -3 (b) d (c) -0.2
c
Let w be 0*2/(-2 + -2). Let g = -12618/5 + 2523. Let s = -0.08 + -4.92. Which is the nearest to -0.1? (a) g (b) s (c) w
c
Let o = -94/3 + 32. Let s = -1/279 + 842/1395. Which is the nearest to o? (a) s (b) 1/4 (c) 5
a
Let l = -86 - -90. Let o be (-17 - -21)*(0 + l). Which is the nearest to 2/5? (a) o (b) -1 (c) 0
c
Let u = -0.5 + 0.1. Let x = 895/4 + -208527/932. Let o = x - 243/1165. Which is the closest to 1? (a) 4 (b) u (c) o
c
Suppose -2*u
|
{
"pile_set_name": "DM Mathematics"
}
|
= -2*i**2 - 4*i - 2. Determine k(l).
-2
Let v = -20 + 17. Let q be -1*2/v*36/8. Let d(f) = -f**2 - 3*f + 3. Calculate d(q).
-15
Let k(i) = -i + 32. Let g(n) = n - 30. Let r(l) = -5*g(l) - 4*k(l). Determine r(10).
12
Let v(a) = 24 - 6*a + 38*a - 15*a - 6*a - 12*a. Give v(8).
16
Let w = -1 - 1. Let c(s) be the second derivative of -s**4/6 - s**3/2 - s**2/2 + 113*s. Give c(w).
-3
Let a(m) = m**2 + 2*m - 3. Suppose 5*n - l = 2, -4 = -3*n + 5*l - 16. Let z(f) = -6*f**3 + f**2 - f. Let v be z(n). Let w be (v/8)/(4/(-16)). Determine a(w).
12
Let c(z) = -5*z + 1. Let r(s) = 22*s - 5. Let i(u) = 9*c(u) + 2*r(u). Let p be 6/((3/3)/1). Suppose -3*k + p*k = -3. Determine i(k).
0
Let l be (1/(-1) - 33)/(-2). Let w(x) = -x - 13*x**2 + l*x**2 + 5 - 4. Suppose 0 = -r + 3*r - 2. What is w(r)?
4
Let h(x) = -6*x - 2. Let w be h(-1). Suppose p + 4*p - 19 = w*g, -2*g + 3*p = 9. Let i(n) = -n**2 - 8*n. Determine i(g).
12
Suppose 32 = 4*d + 4*p, 25 = -d + 3*d + 5*p. Let v(q) be the third derivative of 0 - 5/6*q**3 + 1/10*q**5 + 0*q - 1/4*q**4 - 1/120*q**6 - 12*q**2. What is v(d)?
-10
Let u(y) = -y**3 - 35*y**2 + 3*y + 106. Let d be u(-35). Let k(q) be the first derivative of -7*q**3/3 + q**2/2 - q + 2. What is k(d)?
-7
Let g(s) = 3*s**2 + 3*s - 6. Let b(i) = -i**2 - i + 2. Let q(c) = -4*b(c) - g(c). Determine q(3).
10
Let l = 3 - 6. Let q(z) = -5*z. Let v(c) = 26*c. Let p be 2*2/(5 - 3). Let g(f) = p*v(f) + 11*q(f). Determine g(l).
9
Let x(c) = -2*c**3 - 2*c**2 + 4*c + 7. Let r be x(-1). Let k(w) = w**3 - 6*w**2 + 5*w - 2. Determine k(r).
-14
Let w(m) = m**2 + 2*m - 5. Let u be w(-4). Let f = 2 + -1. Let k(d) = u - f - 1 + d. Calculate k(-2).
-1
Suppose 5*t - 5 = -0*a - a, a = -3*t - 1. Let v = a + 7. Let c(w) = -w - 4. Determine c(v).
-1
Let b(p) = -p**2 + 4*p - 2. Let z be b(5). Suppose -2*f - 62 = -2*w, -3*w + 57 + 30 = 3*f. Let x(q) = -29*q + w*q + 6 + 4 - 2. Give x(z).
1
Let p(r) = r**3 + 5*r**2 - 6*r - 5. Suppose 0 = 3*h + o - 7, 0*o + 4 = -2*h - 5*o. Suppose -1 = -2*x - h*d, 0 = -3*d - 5 - 4. Let v = -11 + x. Give p(v).
-5
Let v(q) = 2*q**3 - 6*q**2 + 3*q - 6. Suppose 4*z = 92*k - 93*k - 8, 2*k - z - 11 = 0. Calculate v(k).
38
Let t(v) be the second derivative of v**5/20 - 7*v**4/6 + 3*v**2 + 5*v - 7. Give t(14).
6
Let u(p) = p**2 + 9*p - 1. Suppose 95*g + 312 = 43*g. Give u(g).
-19
Let l(c) = -c**2 + 7*c - 2. Let i(y) = y**2 - 9*y + 2. Let j(v) = 5*i(v) + 6*l(v). What is j(4)?
-30
Let g(k) be the third derivative of -k**6/120 + k**5/10 - k**4/24 + k**3/2 + 36*k**2. Give g(6).
-3
Let i be 232/(-7) + (-19)/(-133). Let q = i - -30. Let o(v) = 2*v - 1. Give o(q).
-7
Let r(b) = b**3 + 4*b**2 + b + 3. Let m be r(-4). Let t(n) = -4*n + 3. Let j(v) = v. Let g(w) = m*t(w) - 6*j(w). Give g(-5).
7
Let y(c) = -60*c - 34*c + 3 + 3 + 61*c - 5. What is y(1)?
-32
Let g(x) = 3*x**2 + 2*x + 15. Let d(z) = 2*z**2 + z + 14. Let p(y) = 4*d(y) - 3*g(y). What is p(-5)?
-4
Let m(h) = -6*h - h**3 - 7*h**2 - 13 - 5*h - 3*h**2. Give m(-9).
5
Let v be (0/1)/(5 - 4). Let q = v - -1. Let g(t) = -14*t**2 + 7*t + 5. Let c(f) = -f**2 + f + 1. Let j(r) = -6*c(r) + g(r). Give j(q).
-8
Suppose 7 = 3*r + s + s, 2*s = 4. Suppose 3*c = -4*g - 7, 8 = 2*g - c - r. Let k(j) = -3*j**3 + 3*j - 1. Calculate k(g).
-19
Suppose i - 5*k - 9 = 5*i, 5*i + k = -27. Let r(z) = z**3 + 3*z**2 - 8*z - 7. Determine r(i).
-67
Let j(y) = 2*y**2 - 6*y - 2. Suppose 3*k + 3*c - 15 = 6*c, 4*k + c - 20 = 0. Determine j(k).
18
Let u(g) = -99*g + 97*g - 1 + 1 - 4*g**2 - 2*g**3. Give u(-2).
4
Let k(b) = b**2 - 8*b + 13. Suppose -t + 30 = 4*t. Let h be k(t). Let x(o) = 0 + 2*o - 1 - 4 + h + o**2. Calculate x(-4).
4
Let a(x) = x**2 + 10*x + 6. Let l(h) = -4*h**3 + 4*h**2 - 4*h - 1. Let o be l(1). Calculate a(o).
-19
Let g = -38 - -37. Suppose 2*p = 3*f - 1 - 6, -2*p - 2 = 2*f. Let r(w) = 4*w**2 - 5*w**2 + 10*w**2 + 2*w + f + 0*w**2. Calculate r(g).
8
Let x(r) = -r**3 - 8*r**2 - 7*r. Let i = -114 + 80. Let s be -54*(-1 + (-3)/(-2)). Let t = i - s. Determine x(t).
0
Let z(b) = b**3 + b**2 - 2*b + 1. Let r(c) be the first derivative of -c**2 - 41*c + 1. Let d be r(-22). Calculate z(d).
31
Let q(l) be the second derivative of -l**5/60 + l**4/4 - l**3 + 7*l**2 + 9*l. Let t(y) be the first derivative of q(y). Give t(4).
2
Let k(y) = -y + 2. Suppose -5*n - 24 - 36 = 0. Let o be (4/(-16))/(1/n). Suppose w = 4*w - o. What is k(w)?
1
Let u(k) = k**3 - k**2. Suppose 6*v = 7*v - 19. Suppose 7*w = v*w - 12. Determine u(w).
0
Suppose -27*u = -3*g - 28*u - 5, 0 = g - 4*u + 19. Let w(d) be the second derivative of 0 - 1/2*d**2 - 1/6*d**3 - 2*d. What is w(g)?
2
Suppose 4*p = 2*l + 12, -16*l - p = -23*l - 55. Let m(f) = -f - 3. Let j(h) = -3*h - 9. Let o(d) = 4*j(d) - 11*m(d). Calculate o(l).
5
Suppose 3*b - 4*n - 52 = 0, b - 17 = -0*n + n. Let a = b + -17. Let r(s) = -13*s - 3. Let j(v) = -v - 1. Let l(u) = a*r(u) + 4*j(u). Calculate l(-1).
-10
Let y(p) be the first derivative of -p**2/2 + 22*p + 144. What is y(0)?
22
Let t(r) = -2*r + 24. Let u be t(6). Suppose 5*j = 7 - u. Let f(n) = 13*n - 1. Give f(j).
-14
Let w(h) be the first derivative of -h**4/24 - h**3/3 - 9*h**2/2 + 3. Let r(v) be the second derivative of w(v). Give r(5).
-7
Let p(y) = -y**3 - 31*y**2 - y - 37. Let u be p(-31). Let d(f) = f + 3. Give d(u).
-3
Let m be (-4)/18 + 33/27. Let w(r) = 4*r**2 - m + 2*r - r - r. Let u be 2*(-3)/6*1. Calculate w(u).
3
Let w(k) be the second derivative of 2*k**2 - 5*k - 1/6*k**3 + 0. What is w(4)?
0
Let z(r) = r**2 - 9*r - 10. Let n be z(-1). Let o(p) = -6*p. Give o(n).
0
Suppose -10*d = 126 + 454. Let f = 58 + d. Let w(n) = -n + 1. Calculate w(f).
1
Let z(a) = 6*a + 1. Let s be (-2)/(6/(-3)) - 0. Suppose 0 = -4*m + 33 - s. Let q be 12/16*m/6. Calculate z(q).
7
Let y(w) = -w**3 + 5*w**2 - 4*w - 5. Let c(f) = -f**3 - 20*f**2 - 17*f + 42. Let t be c(-19). Calculate y(t).
-5
Let c(d) = -d - 2. Let j(i) = -i - 3. Let a(w) = 8*c(w) - 5*j(w). Let x be (-150)/39 + (-12)/78. Give a(x).
11
Let p(n) be the first derivative of n**4/4 + n**3/3 + n - 1. Let y = 5 + -8. What is p(y)?
-17
Suppose 0 = -19*r + 3*r - 528. Let z(s) = s**3 + 33*s**2 + s + 33. Determine z(r).
0
Let i be (-66)/(-3 - -6 - (-27)/(-6)). Suppose -i = a - 46. Let h(l) = 2*l**2 - 2*l - 1. Calculate h(a).
3
Suppose 5*c + 24 = 39. Let i(v) = 8 - v**3 + 3 - 13 + 2*v. Determine i(c).
-23
Let i(u) = -2*u**3 + 8*u**2 + 12*u - 8. Let y(j) = j**3 - 4*j**2 - 6*j + 4. Let t(p) = -3*i(p) - 5*y(p). Give t(5).
-1
Let r = -6 - -11. Suppose -v + r*v - 100 = 0. Suppose -a = -b - 5, -b + 0*b = -5*a + v. Let m(z) = -z**2 + z - 19. Calculate m(b).
-19
Suppose -109*f + 37*f - 1008 = 0. Let v(q) = -3*q - 36. Give v(f).
6
Suppose -3*t - 10*h - 14 = -14*h, -5*t = 2*h + 6. Let o(m) = 6*m**2 - m + 1. Calculate o(t).
27
Let p(w) = 5*w**2 + 17*w - 3*w**2 - 1 + 2*w**3 - 6*w - 11*w. Suppose -2*a - 3*a - 10 = 0. Determine p(a).
-9
Let j(d) = d**3 - 6*d**2 - 5*d + 5. Let x be j(7). Let z = x + -12. Let v(f) = 3 + 6*f + z - 2 - 12. Determine v(3).
14
Let u(n) = 3 - 2 + n + n + 0*n. Let s(z) = 2*z**2 - 41*z - 26. Let k be s(21). Give u(k).
-9
Let b(s) = 2*s**3 + 2*s**2 - 2*s - 1. Let t(i) = 7*i**3 + 5*i**2 - 5*i - 4. Let n(r) = 3*b(r) - t(r). Let m(z) = z**2 - z + 1. Let a be m(1). Give n(a).
0
Let r(y) be the second derivative of 2*y**3/3 + y**2/2 - 173*y. Calculate r(1).
5
Let x(r) be the second derivative of -r**3/6 - r**2 + 19*r. Suppose 6*t = 2*a + 11*t + 25, 2*a - 15 = 3*t. Determine x(a).
-2
Let s be (-7 + 9 - 2)/(-3 + -1). Let b(t) = -3*t**3 + 0*t + t + 2*t**3. What is b(s)?
0
Let d(x) = -6*x**2. Let s(r) = r**2 - 2*r - 10. Let h be s(0). Let b = h - -12. Let u be (-2)/b*(7 - 6). Calculate d(u).
-6
Let j(g) = 2*g - 11. Let k(a) = -a + 15. Let m(z) = -3*j(z) - 2*k(z). Determine m(0).
3
Let y(d) = -3*d**3 + 6*d**2 + 11*d - 4. Let w(h) = 2*h**3 - 5*h**2 - 9*h + 3. Let i(q) = -4*w(q) - 3*y(q). Determine i(-2).
-6
Suppose 0 = 2*t + 10. Let i(j) = -j**2 - 4*j + 4. Let q(v) = 2*v**2 + 9*v - 7. Let b(x) = t*i(x) - 3*q(x). What is b(-7)?
1
Let l(w) = 2*w**2 - 2*w + 1. Suppose -10*t + 11*t = 1. Let x be (t + 4/(-6))/((-5)/(-45)). What is l(x)?
13
Let h(l) be the second derivative of -l**3/3 + 29*l**2/2 + 11*l - 1. Calculate h(12).
5
Let h(x) = x + 4. Let k be (-666)/(-21) + 8/28. Suppose -k = 2*m - w, 4*w = -m - 0*
|
{
"pile_set_name": "DM Mathematics"
}
|
7 for r.
-4
Let u(y) = 5*y**2 - 3*y - 6. Let x be u(-2). Suppose 0*f + x = 5*f. Solve 3*p + 2 = -f for p.
-2
Let b = 874 + -869. Solve 41 - 56 = -b*f for f.
3
Suppose 4*s = -163 + 11. Let r be (52/(-14) - -4) + s/(-14). Solve 1 = -2*t + r*t for t.
1
Suppose z = -219 + 233. Solve 3*m = 8 - z for m.
-2
Let v = -3 - -7. Suppose 0 = v*w + g - 15, 2*w = 4*g - 0*g + 30. Suppose -q = -3*u - 7, -3*q = -u - 8 - w. Solve 2 = n + q for n.
-2
Let a(z) = z**2 + 2*z + 23. Let h be a(7). Let c be h/10 + 5/(75/(-9)). Solve -c*v - 9 = -5*v for v.
-3
Suppose 0 = -7*o + 7 + 119. Solve o = -14*a + 8*a for a.
-3
Suppose -1 + 4 = j. Suppose 5*d = -5*t, 0*d - 3*t = -2*d. Solve v + j = -d*v for v.
-3
Let l = 32 + -20. Let h be l/(-42) + (-37)/(-7). Solve 12 = -h*o + 2 for o.
-2
Suppose 0 = 7*o - 2*o. Suppose -4*r + o*r + 100 = 0. Suppose b - r = -4*b. Solve -b*d + 9 = -2*d for d.
3
Let k(a) be the first derivative of a**4/4 + 17*a**3/3 + 17*a**2/2 + 19*a + 1. Let w be k(-16). Solve -w - 1 = 4*o for o.
-1
Let x be (-7 + 1)*(-1)/2. Suppose 0 = -4*k - 4, 3*k + 5 = 5*t - x. Suppose 12 = 4*q + 4*h, -2*q + 5*h - 3 = -2. Solve -q + t = -v for v.
1
Let x(c) = -c - 3. Let s be x(-6). Suppose h = 3*j - 15, -17*h = 3*j - 21*h - 24. Solve -2 = -s*w + j*w for w.
-2
Suppose 8*a + 246 = 294. Solve 45 = a*y + 3*y for y.
5
Let t be (-9)/27 + 1 + 38/6. Solve -12*i = -t*i + 20 for i.
-4
Let y(u) = u**2 - 8*u - 19. Let i be y(11). Suppose 0 = -i*d + 9*d. Solve 2*b - 6*b = d for b.
0
Let u = -29 + 31. Let j be u - -2*(-2)/(-4). Solve 2*k + j = -1 for k.
-2
Suppose 2*o + 35*x = 39*x + 42, -o - 4*x + 27 = 0. Solve -16*p - 7 + o = 0 for p.
1
Let k = -15 - -23. Let q(x) = 2*x - 9. Let v be q(k). Let b = 9 - v. Solve h - 3 = b*h for h.
-3
Suppose -4*i = -6*i - 3*c + 47, -21 = -i - 4*c. Solve -5*y = -10 + i for y.
-3
Suppose 3*q - 2*q = -7. Let y = q - -4. Let x be y - -2 - (1 - 6). Solve x*c = c - 6 for c.
-2
Let t(b) = -b**3 - b**2 + b + 1. Let h be t(-2). Suppose -5*j - 8 = -h*l - l, 4*l + 4*j - 8 = 0. Solve -23 = -5*x + l for x.
5
Suppose -3*c - 4*t - 11 = 0, -c + 23 = -3*t - t. Suppose -3*s - 3*z = -18, 3*s - 213 = 4*z - 223. Solve -4 = c*j + s for j.
-2
Let l = 862 - 859. Solve l*s + 1 + 14 = 0 for s.
-5
Let t(c) = c**2 + c. Let x(i) = -2*i**2 - 3*i. Let s be ((-2)/(-3))/((-9)/(-27)). Let r(u) = s*x(u) + 5*t(u). Let q be r(0). Solve q = k + 1 - 5 for k.
4
Suppose -4*j + 4 - 16 = 0. Let g(n) = -3*n - 3. Let t be g(j). Solve -16 = -2*h + t*h for h.
-4
Let q = 3023 - 3011. Solve u = q - 16 for u.
-4
Let p(w) = w - 29. Let s be p(-8). Let t = 47 + s. Solve 4 = 2*j + t for j.
-3
Suppose 32 = 23*d - 15*d. Solve -16 = 4*h - d for h.
-3
Let g = -92 - -76. Let b be 15/(-2)*(g/(-6))/(-4). Solve b*r + 2 = -13 for r.
-3
Suppose -4*r + 38 = 5*z - 27, -2*z = -2*r + 46. Solve 0 = 12*o - r*o + 24 for o.
3
Suppose -3*f = 3*w - 21, -4*w + 8*w - f - 23 = 0. Solve -w*k + 20 = -2*k for k.
5
Suppose -3*w = f - 15, -15 = 13*f - 12*f - 3*w. Solve f = -124*o + 132*o + 16 for o.
-2
Suppose 0 = m - 0*b + b - 7, 0 = 4*m - 3*b - 7. Let c = 8 - m. Solve 0*n = -n + c for n.
4
Suppose -5*h + l = 4*l - 94, 2*h - 46 = -4*l. Let k be h + -3 + 3 + 3. Suppose -9*y - k = -14*y. Solve -y*p = 4 + 12 for p.
-4
Suppose -s + 19 = 3*v, -9*s - 4*v + 37 = -6*s. Solve s*k = k + 6 for k.
1
Let u = 11 + -5. Suppose 2*x - 4 = -3*g - 1, 3*g + x = u. Suppose 5*r + 41 - 46 = 0. Solve r = -g*c + 16 for c.
5
Let f = 1 - -3. Solve 8 = -3*m - f for m.
-4
Let c be (-46)/(-14) + 4/(-14). Let b = -4093 + 4093. Solve -c*t = -b*t for t.
0
Suppose -4*a = 5*r - 83, r - 27 + 11 = -a. Let g = -3 + 4. Solve g = -5*b - r for b.
-4
Let o = 2 - -1. Let h = -5 - -6. Solve -z = h + o for z.
-4
Suppose 64*v - 52*v - 120 = 0. Solve 3*a - v = a for a.
5
Let o(l) = -l**2 + 12*l - 8. Let f be o(11). Let g(k) = -k**2 - 6*k. Let i be g(-6). Let p be (1 + (-6)/3)/(1/(-1)). Solve -n + p + f = i for n.
4
Suppose 4*w - x = -0*w - 11, 2*w + 4*x - 8 = 0. Let g be 7/5 + w/5. Solve 3*s + 7 = g for s.
-2
Let r = 358 + -353. Solve -2*l + 7 = r*l for l.
1
Let s(o) = -o**3 - 1. Let f be s(-1). Suppose -2*k + 4*k = 5*n + 31, f = 4*k - 3*n - 41. Let q be k/(-44) + (-24)/(-11). Solve 3 - q = u for u.
1
Let x be (-34)/255 - (-2644)/30. Solve 0 = -3*y + 91 - x for y.
1
Suppose -4*z - z = -l - 23, 2*l = 4*z - 22. Solve z*p = -0*p - 12 for p.
-3
Let y = -34 + 25. Let q(s) = 3*s + 31. Let b be q(y). Let f = 11 + -8. Solve -16 + b = f*m for m.
-4
Suppose 6 = -2*l + 5*l. Let n(m) be the third derivative of -m**6/120 - 11*m**5/60 - 5*m**4/12 + m**3 - 12*m**2. Let h be n(-10). Solve -l*g - h = -4*g for g.
3
Suppose -p - 18 = -22. Suppose -3*o + p*o = -5*z + 9, -3*z - 4*o = -2. Solve w + 12 = -z*w for w.
-4
Let j(i) = -15*i + 3*i - 4 + 0. Let a be j(-5). Suppose k + 3*k = a. Solve -5*p - k = 11 for p.
-5
Suppose 5*p + 28 = c + 9*p, 0 = -2*c - 4*p + 36. Solve 0 = -2*v - 6 + c for v.
1
Suppose -4*y - 20 = -4, -4*y + 44 = -3*h. Let l = 21 + h. Solve 8 + l = 3*i for i.
3
Let r be (-1356)/(-226) - (5 - (1 - 0)). Solve -l = -r*l + 4 for l.
4
Let j(m) = -m**3 + 15*m**2 + 17*m - 12. Let i be j(16). Suppose -d - 6 = -3*d. Suppose -d*u = -3*b - 15, -2*b + 10 = i*u - 4*b. Solve 0 = -2*x - u + 10 for x.
5
Let z = 505 + -490. Solve -z = -4*o - o for o.
3
Let t = -635 + 635. Solve -76*a + 74*a + 2 = t for a.
1
Suppose 0 = 4*v - 2*v - 4*p - 44, 0 = -3*p - 6. Let x = 22 - v. Solve 5 = -x*n - n for n.
-1
Let v(d) = d - 16. Let p be v(14). Let u be (-3 - (3 - 6))/p. Suppose 0 = 11*g - 15*g + 12. Solve u*i = g*i for i.
0
Let v(i) = 2*i**2 - 8*i - 3. Let h(q) = -3*q**2 + 8*q + 4. Let f(l) = 3*h(l) + 4*v(l). Let m be f(-8). Let x be 100/(-6)*30/(-25). Solve m = -4*u - u + x for u.
4
Suppose 275*y = 239*y + 2340. Solve 0 = 19*t - 6*t + y for t.
-5
Let v(k) = 7*k**2 + 15*k + 1. Let n be v(-4). Let a = 53 - n. Solve 3*p + 6 = -a for p.
-2
Let o = 17 - 15. Suppose -m - o*m - 8 = 2*r, 2*m - 12 = 3*r. Solve 3*n = -m*n - 9 for n.
-3
Let x be ((-8)/16)/((-1)/(-6)). Let z be 0 + (6/x - -3). Let o = 0 + z. Solve -2 = -c - o for c.
1
Suppose 5 = 5*q - 10. Let u be (35/7)/((-1)/14). Let n be (u/25 - -2)*15/(-6). Solve q*g - 10 = n for g.
4
Let n(x) be the second derivative of x**4/12 - 11*x**3/6 - 9*x**2/2 + 3*x. Let w be n(12). Solve -w*l - 9 = -0*l for l.
-3
Let p(x) = -x**2 + 7*x - 5. Let z be p(4). Suppose 24*t + 399 = 5*t. Let y be (z/t)/(2/(-18)). Solve 0 = -0*h - y*h for h.
0
Suppose 8*t - 7*t + 1 = 0. Let h be (t - (-22)/18) + 592/333. Solve -2*m - h*m + 16 = 0 for m.
4
Suppose 104 = k - 52. Let s = -156 + k. Suppose 3*x = 2*x + 4. Solve s = -x*q - 2 - 10 for q.
-3
Suppose -9*h + 7*h + 32 = 0. Let b = -9 + h. Let d be 2/4*0 + 1. Solve 2*l - b = -d for l.
3
Let t = -27 + -11. Let c = -36 - t. Solve c = -q - 0*q for q.
-2
Suppose -2*n = 21*n - 46. Solve 5 = c + n for c.
3
Let u(q) = -29*q - 23*q + 49*q. Let c be u(-6). Solve -c = -3*y - 6 for y.
4
Let f(v) = 7*v**2 - 70*v + 3. Let c be f(10). Solve -c*w + 18 = 3 for w.
5
Let l(u) = u**2 - 4*u + 3. Let w be l(4). Solve w*h = -8 - 4 for h.
-4
Let u = 7 - 7. Suppose 6*z - 30 = -u*z. Solve h + 4*h = z for h.
1
Let n be (-4 - 172)/(-8) + 5. Solve -n*c = -29*c - 6 for c.
-3
Let s be ((-4)/6)/(3/(-36)). Suppose -s - 4 = -2*c. Let p = 6 - c. Solve 0 = 4*b - p*b - 16 for b.
4
Suppose r = 5*b + 15, 3*r = 4*r - 2*b - 6. Solve -v = -r*v for v.
0
Let y = 777 + -773. Solve -1 - 11 = -y*q for q.
3
Let g = 4 - 2. Suppose 17 = g*t - 3. Solve -t = -3*k + k for k.
5
Let o be (1/2)/((-1)/2). Let f = 5 + o. Suppose -3*n = -f - 2. Solve -2 = -2*h + n for h.
2
Suppose -4*t - 4*m + 76 = -128, 4*m = 5*t - 282. Solve 20*p = -26 - t for p.
-4
Suppose -k - 2*k = 15. Let b be (-52)/(-65)*k/(-2). Let w = 51 + -26. Solve -b*i + w = 3*i for i.
5
Suppose 2*y - 3 - 1 = 0. Let o(x) = x**y - 5*x**3 + 4*x**3 - 6*x**2 + 0*x**3 - 7 - 2*x. Let l be o(-5). Solve l*s = 2*s - 2 for s.
-2
Suppose 2*j + 7 = 3*x, -2*j - 2*x + 9 + 9 = 0. Suppose -y = -5*b + 15, 4*b + 3*y - 11 = j*y. Solve -q = 3*q + b for q.
-1
Let q = -910 + 919. Solve q*w = 11*w - 6 for w.
3
Let h(c) = c**2 + 8*c + 8. Let o be h(-8). Let y = -40 - -42. Suppose -3*g - 15 = -a, 3*a + 2*a = y*g + 23. Solve -a*d = -o*d for d.
0
Suppose -5*a = r - 20, 4*r = 4*a - a - 12. Solve 8*o - 3*o = r for o.
0
Suppose -4*b + 5*a = -144, -4*b + 11 + 133 =
|
{
"pile_set_name": "DM Mathematics"
}
|
tive of -a**4/6 + 2*a. What is j(q(z))?
-2*z**4
Let w(r) = 6*r**2 + 3*r. Let d(z) = 0*z - 3*z - 3*z - z**2 + 6*z. Determine w(d(p)).
6*p**4 - 3*p**2
Let m(g) = g**2. Let o(c) = -158*c + 2. Let j(x) = 159*x - 2. Let v(r) = -4*j(r) - 3*o(r). Calculate m(v(i)).
26244*i**2 - 648*i + 4
Let o(g) = 7128*g**2 - 7124*g**2 - 1 + 1. Let k(x) = -69*x. Calculate k(o(f)).
-276*f**2
Let h(c) = c**2 + c - 3. Let n(w) = 5*w**2 + 3*w - 9. Let z(a) = -3*h(a) + n(a). Let v(p) = 6*p + 3. What is z(v(j))?
72*j**2 + 72*j + 18
Let d(g) = 7*g. Let q(a) = -22*a**2 + 6*a**2 + 6 + 10*a**2 - 6*a + 10*a**2. Let k(m) = 8*m**2 - 13*m + 13. Let t(c) = -6*k(c) + 13*q(c). Give d(t(f)).
28*f**2
Let o(h) = -h. Let a(b) = 2*b - 73699. Give a(o(n)).
-2*n - 73699
Let c(x) = 2*x. Let l(d) be the second derivative of -d**7/280 + 7*d**4/6 + d. Let j(h) be the third derivative of l(h). Determine c(j(v)).
-18*v**2
Let b(r) = 2638*r. Let t(o) = 12*o**2. Calculate t(b(c)).
83508528*c**2
Let q(s) = -2*s**2 + s - 1. Let t(w) = -13*w**2 + 5*w - 35. Let z(o) = 5*q(o) - t(o). Let u(y) = 3*y**2. What is z(u(k))?
27*k**4 + 30
Let m(g) = 22*g**2. Let j(d) = -10601*d. Calculate j(m(f)).
-233222*f**2
Let z be -1 + -2 + 2 + 3. Let p(f) = 2 + 9*f - z - 13*f. Let u(r) be the third derivative of r**5/30 - r**2. Give p(u(x)).
-8*x**2
Let o = 62 - 60. Let g(y) = -788 + 788 - 6*y**o. Let z(q) = -q**2 - q**2 + 0*q**2. Give g(z(x)).
-24*x**4
Let d(b) = -b**2. Let i(o) = 91*o - 3. Let l(y) = 3366*y - 110. Let s(v) = 220*i(v) - 6*l(v). Calculate d(s(p)).
-30976*p**2
Let y(h) = -6*h**2. Let z(q) = -22*q**2 + 6*q - 6. Let o(b) = 23*b**2 - 5*b + 5. Let p(g) = 6*o(g) + 5*z(g). Calculate y(p(k)).
-4704*k**4
Let j(h) = h - 8. Let c(v) = -14*v + 4. Let y(o) = c(o) + 12*j(o). Let u(p) = 5*p**2. Calculate u(y(z)).
20*z**2 + 1840*z + 42320
Let h be (-46)/6 - 2/(-3). Let d(s) = -3*s - 4. Let v(a) = -6*a - 7. Let m(c) = h*d(c) + 4*v(c). Let b(j) = -8*j**2. What is m(b(z))?
24*z**2
Let f(y) = -172*y**2 + 35. Let k(u) = -246*u. Give f(k(t)).
-10408752*t**2 + 35
Let v(a) = a. Let y be v(2). Let x(u) = -3*u**2 + 0*u**y + 0*u**2 - 2*u**2. Let b(c) be the third derivative of c**4/12 - 29*c**2 + 2. Calculate x(b(d)).
-20*d**2
Let o(u) = u. Let t(n) be the second derivative of n**4/3 + 19*n**2/2 - 16*n. Let l(c) be the first derivative of t(c). Give l(o(a)).
8*a
Suppose -v + 9 = -0*v. Let a(w) = v*w - 5*w - 3*w - 6*w. Let g(x) = 2*x. What is a(g(q))?
-10*q
Let k(a) = -11*a**2. Let c(w) = w + 195. Give k(c(r)).
-11*r**2 - 4290*r - 418275
Let j(o) = 8*o**2. Let d(s) be the second derivative of 5*s**3/2 - s + 18. Determine d(j(h)).
120*h**2
Let x(z) = -17*z**2. Let b(h) = -53*h**2 + 3*h + 164. Calculate b(x(d)).
-15317*d**4 - 51*d**2 + 164
Let u(p) = -3*p. Let a(o) = -145*o - 1. Calculate u(a(m)).
435*m + 3
Let b = -13 + 15. Let f(u) = -b*u - 2*u - u + 3*u. Let s(y) = -y**2 + y. Let q(w) = 4*w**2 - 6*w. Let g(k) = -q(k) - 6*s(k). Give g(f(x)).
8*x**2
Suppose 6*z - 17 = 49. Let p(v) = -5*v - z*v - 5*v + 9*v. Let n(j) = -j**2. Determine p(n(w)).
12*w**2
Let y(p) = 3*p - 12*p + 8*p. Let h(c) be the second derivative of -2*c**5/15 - 2*c**2 - 5*c. Let b(x) be the first derivative of h(x). What is y(b(j))?
8*j**2
Let i(b) = b. Let p be 3*((-1)/(-3)*-8 + 2). Let r(j) = -4*j. Let h = -13 + 6. Let s(y) = y. Let l(c) = h*s(c) + p*r(c). Determine i(l(a)).
a
Let y(n) = 1892*n + 7. Let p(q) = 5*q. Give p(y(v)).
9460*v + 35
Let t(p) be the second derivative of -6*p + 0 + 0*p**2 - 1/3*p**3. Let h(v) = -4*v**2. What is t(h(a))?
8*a**2
Let p(v) = -2*v. Let d(x) = -2*x - 1163738. What is p(d(i))?
4*i + 2327476
Let b(t) = 7*t. Let u(d) = -51*d + 107. Let y(f) = -22*f + 53. Let j(s) = 3*u(s) - 7*y(s). Calculate j(b(r)).
7*r - 50
Let j(g) be the third derivative of -g**4/3 + 3*g**2 + 8*g. Let c(f) be the first derivative of f**2/2 - 4. What is j(c(s))?
-8*s
Let a(k) = k**2. Let o = 212 + -194. Let i(x) be the second derivative of -37*x**3/6 - x. Let v(n) = -9*n. Let u(h) = o*v(h) - 4*i(h). What is a(u(d))?
196*d**2
Let f(p) = -3*p**2. Let c(n) = -200*n - 196*n + 601*n - 195*n. What is c(f(g))?
-30*g**2
Let h(g) = -g**2. Let a(t) = -109*t - 23*t**2 + 21*t**2 + 89*t. Determine h(a(d)).
-4*d**4 - 80*d**3 - 400*d**2
Let p(a) = a**2 - 31. Let d(q) = -554*q. Calculate p(d(o)).
306916*o**2 - 31
Let v(f) = -4*f**2. Let o = 53 - 50. Let q(g) = -4*g**2 - 3*g**2 - 3*g**2 + o*g**2. Give v(q(b)).
-196*b**4
Let l(p) = -p. Let x(i) be the second derivative of 5*i**4/12 + 20*i**2 - 2*i + 339. What is x(l(t))?
5*t**2 + 40
Let h(o) = o - 18. Let v(d) be the second derivative of -d**3/6 + 27*d. Give h(v(p)).
-p - 18
Let o(h) = 4*h**2. Let i(f) = -186*f**2 - 120*f + 2. Determine i(o(s)).
-2976*s**4 - 480*s**2 + 2
Let v(c) = -17*c. Let a = -25 - -47. Let t(y) = -2*y - 3. Let p(h) = -7*h - 11. Let n(g) = a*t(g) - 6*p(g). Determine v(n(u)).
34*u
Let n(l) = 905*l + 1. Let o(y) = -12087 + y + 12087. Determine n(o(a)).
905*a + 1
Let a(m) = -32*m - 5. Let h(x) = -47*x - 7. Let w(k) = -7*a(k) + 5*h(k). Let i = 6 + -4. Let j(f) = f**2 - 4*f**2 + f**i. What is j(w(c))?
-242*c**2
Let j = 4 + -11. Let z(m) = -5*m - 2. Let h be z(j). Let b(p) = -2*p**2 + h - 33. Let o(s) = -2*s. Calculate b(o(u)).
-8*u**2
Let c(g) = 11*g + 2. Let f(v) = -60*v - 11. Let z(l) = -33*c(l) - 6*f(l). Let d(h) = 8*h + 2. Determine z(d(m)).
-24*m - 6
Let b(h) = -34*h**2. Let w(k) = -32*k. Let f(c) = 44*c. Let x(d) = -3*f(d) - 4*w(d). Give b(x(p)).
-544*p**2
Let o(g) = -g. Let v(a) = 14*a**2 + 4*a + 10. Let u(h) = 30*h**2 + 9*h + 21. Let p(w) = 4*u(w) - 9*v(w). What is p(o(f))?
-6*f**2 - 6
Let y(n) be the second derivative of n**4/6 - 5*n + 45. Let d(f) = 1016*f. Calculate y(d(z)).
2064512*z**2
Let x(l) = -6*l - 3 + 7*l + 4 - 1. Let n(d) = 283*d**2. What is n(x(g))?
283*g**2
Let j(v) = -v + 0 + 1 - 1. Let h(c) be the third derivative of 7*c**5/20 + 6*c**2. What is h(j(p))?
21*p**2
Let y(z) = -z**2. Let b(g) = -g - 8688. Calculate y(b(i)).
-i**2 - 17376*i - 75481344
Let y(o) = -8*o + 29. Let x(h) be the third derivative of 11*h**4/12 - 29*h**3/2 + 3*h**2 - 3. Let u(f) = -3*x(f) - 8*y(f). Let i(l) = -2*l. Give u(i(p)).
4*p + 29
Let y(i) be the third derivative of i**4/24 - 7*i**2. Let b be (2 + 1 + -5)*-1. Let v(u) = b*u**2 + 8*u**2 - u**2. Give y(v(n)).
9*n**2
Let f(u) = u**2. Let m(h) = -11*h. Let s(t) = -12*t. Let k(l) = 3*m(l) - 4*s(l). Let i(b) = 16*b. Let p(c) = 5*i(c) - 6*k(c). What is p(f(n))?
-10*n**2
Let i(a) = 263*a**2 - 140*a**2 - 139*a**2 + 2. Let g(f) = -2*f**2. Give i(g(y)).
-64*y**4 + 2
Let k(l) be the second derivative of -l**4/3 + 17*l + 11. Let o(d) = -118*d**2. Give k(o(q)).
-55696*q**4
Let f = 14 - 22. Let q = f - -10. Let s(o) = -o - q*o + o. Let m(r) = r. Give s(m(c)).
-2*c
Let i(z) = 4*z**2. Let k(r) be the second derivative of r**3/2 - 33*r**2/2 - 113*r. Give k(i(a)).
12*a**2 - 33
Let q(b) = 11*b. Let h(l) = -15*l**2 + 9. Let d(f) = -7*f**2 + 4. Let t(v) = -9*d(v) + 4*h(v). What is t(q(k))?
363*k**2
Suppose -33*o + 60 = 60. Let b(j) be the third derivative of o*j**3 + 0*j + 0*j**4 + 0 + 6*j**2 - 3/20*j**5. Let a(d) = 3*d. What is a(b(l))?
-27*l**2
Let l(b) = 0*b + 3*b - b - 3*b. Let s(y) = -7*y**2 + 16*y - 16*y. Determine s(l(a)).
-7*a**2
Let w(y) = -15*y**2. Let o(b) = -13*b**2 + 4*b**2 + 0*b**2 + 7*b**2 + 33*b**2. Give o(w(r)).
6975*r**4
Suppose 5*a - 6*a + 27 = 0. Let m(i) = -16*i - 15*i + a*i. Let u(f) = -4*f. Give u(m(k)).
16*k
Let h(q) = -3*q + 5. Let p(i) = 6*i. Let a(u) = 2*u. Let j(f) = 4*a(f) - p(f). What is h(j(z))?
-6*z + 5
Let f(r) = -2*r. Let o be (0 + -1)*0/(4 - -4). Let y(q) be the second derivative of 1/6*q**3 + 5*q + 0 + o*q**2. What is y(f(n))?
-2*n
Let h(j) = 5*j**2. Let u(d) = d. Let z(x) = -x. Let t be 2 - (-2 - (3 + -2)). Let a = 18 + -12. Let y(f) = a*u(f) + t*z(f). What is h(y(p))?
5*p**2
Let s(a) = 6*a**2 + 218*a + 4*a**2 - 218*a - 6*a**2. Let v(c) = 20*c**2. What is s(v(p))?
1600*p**4
Let d(i) = 5*i**2. Let u(v) = 2*v + 13919. Determine d(u(j)).
20*j**2 + 278380*j + 968692805
Let h(l) = -78*l. Let i(f) = 8135*f. Give h(i(n)).
-634530*n
Let b(z) = -7*z. Let f(i) = 292*i + 36. What is b(f(a))?
-2044*a - 252
Let r(t) = -13*t - 2. Let x(m) = -m + 9117. Determine x(r(d)).
13*d + 9119
Let u(q) = -q**2 - 7865*q. Let c(v) = 9*v. Determine u(c(t)).
-81*t**2 - 70785*
|
{
"pile_set_name": "DM Mathematics"
}
|
, 16, 46, 98, 178?
292
What is the next term in 0, 10, 26, 48, 76, 110?
150
What is next in -78, -151, -222, -291, -358, -423?
-486
What is the next term in -78, -74, -72, -72, -74, -78?
-84
What comes next: 2445, 4904, 7377, 9870, 12389, 14940?
17529
What comes next: 472, 482, 506, 550, 620, 722?
862
What comes next: -23, -9, 3, 13, 21, 27, 31?
33
What is next in 326, 315, 288, 239, 162?
51
What is the next term in -60, -83, -116, -165, -236, -335?
-468
What comes next: 38, 40, 50, 74, 118, 188, 290?
430
What is next in 43, 66, 97, 136, 183?
238
What comes next: -310, -112, 88, 290?
494
What is next in 126, 133, 150, 183, 238, 321, 438?
595
What is next in 32, 121, 372, 869, 1696, 2937?
4676
What comes next: 27, 30, 31, 30, 27?
22
What is the next term in 47, 62, 77, 92, 107?
122
What is next in 9, -16, -69, -162, -307, -516, -801?
-1174
What comes next: -30, -31, -32, -33, -34?
-35
What is the next term in -5882, -11767, -17652, -23537?
-29422
What comes next: 63, 90, 129, 174, 219?
258
What is next in -2, -7, -16, -29?
-46
What comes next: 1519, 1520, 1521, 1522, 1523, 1524?
1525
What is next in -9804, -19609, -29414, -39219, -49024, -58829?
-68634
What is the next term in -1813, -1804, -1783, -1744, -1681, -1588, -1459?
-1288
What is next in 92, 197, 314, 449, 608, 797, 1022, 1289?
1604
What is next in -15, -41, -67, -93, -119, -145?
-171
What comes next: 13, -2, -29, -68, -119, -182?
-257
What is the next term in 464, 465, 466?
467
What is the next term in 140, 272, 404, 536, 668?
800
What is the next term in -13669, -13676, -13687, -13702?
-13721
What comes next: 255, 274, 313, 378, 475, 610, 789?
1018
What comes next: 8814, 8815, 8816, 8817, 8818?
8819
What is the next term in 87, 156, 215, 258, 279, 272, 231, 150?
23
What is next in 497, 1041, 1585?
2129
What is next in -68, -66, -64?
-62
What is next in 53, 54, 55, 56?
57
What is the next term in 3874, 7745, 11616, 15487, 19358, 23229?
27100
What is the next term in 200, 414, 640, 884, 1152?
1450
What comes next: 7, 3, -1, -5?
-9
What comes next: -2279, -2276, -2277, -2288, -2315, -2364, -2441, -2552?
-2703
What is next in 14, 27, 44, 65, 90, 119, 152?
189
What is the next term in -94, -92, -90, -88, -86, -84?
-82
What comes next: -21, -29, -35, -39?
-41
What is next in -5, -10, -17, -26, -37?
-50
What comes next: 52, 135, 264, 433, 636, 867, 1120?
1389
What is next in 316, 327, 362, 433, 552, 731, 982?
1317
What is next in 5026, 5027, 5028?
5029
What is the next term in 11, 15, 23, 41, 75, 131, 215, 333?
491
What is next in 548, 560, 586, 632, 704, 808, 950, 1136?
1372
What is next in -37, -128, -295, -550, -905, -1372?
-1963
What comes next: 21, 17, 13, 9, 5, 1?
-3
What is the next term in 20, 36, 44, 38, 12, -40?
-124
What comes next: -456, -457, -458, -459?
-460
What is next in 1974, 1972, 1970?
1968
What is next in -614, -2434, -5468, -9716, -15178, -21854?
-29744
What comes next: 1134, 2276, 3424, 4578, 5738?
6904
What is next in -39, -70, -79, -54, 17, 146, 345, 626?
1001
What is next in 9, 7, 3, -3, -11?
-21
What comes next: 124, 133, 142, 151, 160?
169
What comes next: -854, -862, -870, -878, -886?
-894
What comes next: -1901, -1907, -1915, -1925?
-1937
What is the next term in 721, 1424, 2127, 2830, 3533?
4236
What is next in -37, 85, 295, 599, 1003, 1513, 2135, 2875?
3739
What comes next: 796, 799, 802, 805, 808?
811
What is the next term in 4, -3, -10, -17, -24?
-31
What comes next: -25229, -25217, -25191, -25145, -25073, -24969, -24827?
-24641
What is next in 9, 9, 7, 3, -3, -11?
-21
What is the next term in -50, -350, -1132, -2636, -5102, -8770, -13880?
-20672
What is next in -2768, -5534, -8300, -11066, -13832, -16598?
-19364
What is next in 2, 0, -6, -16, -30, -48?
-70
What comes next: 557, 622, 687, 752?
817
What is the next term in 35, 73, 111, 149?
187
What is the next term in -68, -228, -498, -884, -1392, -2028?
-2798
What is the next term in 237, 485, 733, 981, 1229?
1477
What is the next term in 135, 253, 349, 411, 427, 385, 273, 79?
-209
What comes next: -74, -57, -30, 7, 54, 111?
178
What is next in 39, 90, 151, 228, 327?
454
What is next in 5841, 5846, 5855, 5868?
5885
What is the next term in -1344, -2691, -4038, -5385, -6732?
-8079
What is next in -57, -61, -69, -81, -97, -117?
-141
What is the next term in -52, -73, -90, -103, -112?
-117
What comes next: -146, -291, -436, -581, -726, -871?
-1016
What is next in -175, -196, -217, -238, -259?
-280
What comes next: 32, -72, -162, -232, -276?
-288
What is next in 726, 742, 748, 738, 706, 646, 552, 418?
238
What comes next: 34, 55, 92, 151, 238, 359, 520, 727?
986
What is the next term in -4, -5, 2, 23, 64, 131, 230?
367
What is the next term in 13, 64, 199, 460, 889, 1528, 2419?
3604
What comes next: -3, -2, -1, 0, 1?
2
What is the next term in 405, 818, 1231, 1644, 2057?
2470
What is next in 31, 55, 95, 151, 223, 311, 415?
535
What is next in -336, -333, -330, -327, -324?
-321
What is next in 136, 139, 160, 211, 304, 451, 664?
955
What is the next term in 30, 58, 72, 66, 34?
-30
What is the next term in 7798, 15595, 23390, 31183, 38974, 46763?
54550
What is next in 9, 18, 41, 84, 153?
254
What is the next term in 35, 37, 29, 5, -41, -115, -223, -371?
-565
What comes next: -4, -107, -210, -313, -416?
-519
What is the next term in -295, -591, -887, -1183?
-1479
What is the next term in 21601, 21610, 21633, 21676, 21745?
21846
What is next in -104, -96, -88, -80, -72?
-64
What comes next: 6, -9, -24, -39, -54, -69?
-84
What is the next term in 132, 200, 254, 288, 296, 272, 210, 104?
-52
What is the next term in 54, 196, 426, 738, 1126?
1584
What is next in -213, -211, -209, -207, -205, -203?
-201
What comes next: -63, -135, -211, -291, -375, -463?
-555
What comes next: -7798, -15599, -23400?
-31201
What is the next term in -3, -27, -99, -243, -483, -843, -1347?
-2019
What is next in -46, -101, -136, -139, -98, -1?
164
What is the next term in 1309, 1182, 1065, 964, 885, 834?
817
What is next in -122, -249, -386, -539, -714, -917, -1154?
-1431
What is next in -84, -129, -186, -261, -360, -489, -654?
-861
What comes next: -15, -15, -3, 27, 81, 165, 285?
447
What comes next: -394, -387, -404, -457, -558, -719, -952, -1269?
-1682
What is next in -4193, -8382, -12571, -16760, -20949, -25138?
-29327
What is the next term in 8, 8, 4, -4?
-16
What is next in -3097, -3096, -3095, -3094, -3093, -3092?
-3091
What comes next: 854, 857, 862, 869, 878?
889
What is the next term in -198, -774, -1734, -3078, -4806, -6918?
-9414
What comes next: -11603, -11600, -11597?
-11594
What comes next: -76, -122, -226, -412, -704?
-1126
What is next in -67, -59, -51, -43?
-35
What is next in 79, 74, 69?
64
What comes next: 1235, 1252, 1303, 1406, 1579, 1840, 2207?
2698
What is next in 9, -8, -33, -66, -107, -156?
-213
What comes next: 36, 64, 92?
120
What is the next term in -548, -1084, -1620, -2156?
-2692
What is next in -45, -40, -31, -18?
-1
What is the next term in 106, 125, 164, 229, 326?
461
What is the next term in -133, -268, -401, -532, -661, -788, -913?
-1036
What comes next: -58, -212, -468, -826, -1286?
-1848
What comes next: -21, -40, -47, -36, -1?
64
What comes next: -2034, -2008, -1958, -1878, -1762?
-1604
What is next in -50, -100, -150, -200, -250?
-300
What is the next term in 81, 162, 245, 330?
417
What comes next: -846, -843, -840, -837?
-834
What comes next: -17, -20, -23, -26, -29, -32?
-35
What is the next term in 503, 1016, 1545, 2096, 2675?
3288
What comes next: -12, -50, -114, -204, -320?
-462
What is the next term in 9011, 9012, 9013?
9014
What is the next term in 1831, 3665, 5499, 7333, 9167, 11001?
12835
What comes next: -151, -149, -147, -145, -143, -141?
-139
What is next in -9, -22, -51, -102, -181?
-294
What is next in -8, 3, 14?
25
What comes next: 581, 1148, 1705, 2246, 2765, 3256?
3713
What is the next term in -205, -203, -201?
-199
What is the next term in -66, -59, -50, -39?
-26
What is the next term in 223, 225, 227, 229, 231, 233?
235
What comes next: -38, -67, -96?
-125
What is the next term in -13, -21, -29, -37?
-45
What is next in 239, 417, 713, 1127, 1659, 2309?
3077
What is the next term in 18, 66, 208, 492, 966, 1678, 2676, 4008?
5722
What comes next: -813, -816, -819?
-822
What is next
|
{
"pile_set_name": "DM Mathematics"
}
|
3
Let l = 27 + -1. Let o = -68 + 21. Let v = -41 - o. Solve -5*p - v = -l for p.
4
Let b(i) = 30*i + 4480. Let c be b(-149). Solve 11*u = c*u + 8 for u.
8
Let o(x) = -6*x + 56. Let m be o(9). Suppose -2*a + 5*c = -22, a + 3*c = -m*c - 4. Solve -2 - a = 4*h for h.
-2
Let o(b) = b + 27. Let d be o(5). Let n be ((-20)/(-11))/(d/176). Solve -6*g - n = -g for g.
-2
Let n be 100*-1*-1*(-5)/(-20). Suppose 7*i + n = 53. Let y = -1 + 1. Solve i*h - 2*h - 10 = y for h.
5
Let r be (-12)/(-96)*-8 + 24. Solve 37*u + 14 = r*u for u.
-1
Let o = -48 + 52. Suppose o*h + 13 = 5*t + 3*h, 4*t - 2 = 5*h. Solve 4*l + 17 + t = 0 for l.
-5
Let i be (9/(-6) + 1)/((-3)/72). Let n(c) = -c**2 + 14*c - 16. Let b be n(i). Suppose -f = b - 11. Solve -l + f*l = -2 for l.
-1
Let u be (-1212)/(-29694) - 2399/(-49). Solve -7*y - 35 = -u for y.
2
Let m(f) = 25*f**2 - f - 1. Let z be m(-1). Let h = z + -24. Let n be (-2 - -3) + h - (4 + -2). Solve d + 3*d - 20 = n for d.
5
Let c be (39/18)/((-8)/(-48)). Solve -8*a - 35 = -c*a for a.
7
Suppose -123*f + 12*f = -12765. Solve 43*v - 57 = f for v.
4
Let b be 500/(-40)*(-18)/27*(4 + -1). Solve 8 = b*j - 67 for j.
3
Suppose 45761 = 160*g - 2879. Solve g*v - 302*v = -10 for v.
-5
Suppose -18*p - 13*p = -p. Suppose -3*o + 24 = 3*g, -g - 23 = -5*g - o. Suppose g*n + 4 = 14. Solve n*w - 5*w + 3 = p for w.
1
Let j(b) = -69*b + 6. Let i be j(-1). Suppose u = 4*t + 32, 5*t = -3*u + 6*u - i. Suppose -3*d + 15 = 5*x, u = 2*d + 2*d. Solve -3*c - 3 = -x for c.
-1
Suppose 0 = -2*y - 2*s + 82, -265 = 47*y - s - 2000. Solve -y*i - 32 = -32 for i.
0
Let t(u) = -22*u + 12*u + 135 + 26 + 44 - 14*u. Let f be t(7). Solve f = 8*g + 5 for g.
4
Let x = -29430 + 30789. Solve -5*m - x = -1379 for m.
4
Suppose 27*j - 7268 = -19*j. Let w = 158 - j. Solve -14*p + 11*p - 15 = w for p.
-5
Let k be (55 - 5) + 5 + 0. Solve 156*v - 167*v = -k for v.
5
Suppose 3*h = 7*h - 5*i - 5, 2*h - 3*i = 1. Suppose 5*p - 3*k - 2 = 49, p = -h*k + 27. Solve -2 = 2*o - p for o.
5
Let u be 5*5/(-10) + 372/8. Solve -n - 10*n = -u for n.
4
Let k be ((-45)/27)/(1/(-129)). Let b = -215 + k. Solve b = -2*l - l for l.
0
Suppose f + 3 = 2*f. Suppose -21*a = 46*a - 134. Suppose 3*b = a*v - 59, 12*v + 90 = 15*v - 5*b. Solve -f*p - 2*p = v for p.
-5
Suppose -94 = -12*s - 334. Let q be 21/18*(-2 - s). Solve 0 = -j - q + 22 for j.
1
Suppose 2*u - k = -554, -2*u + 5*k - 278 = 268. Let o = -247 - u. Solve -8 = -o*l + 33*l for l.
-4
Let y(p) = -p**3 + 15*p**2 - 16*p + 38. Suppose -8*x - 15 + 127 = 0. Let l be y(x). Solve -3*t = 2*t - l for t.
2
Let i(g) = 54*g - 695. Let b be i(13). Solve 0 = -b*s + 9*s - 4 for s.
2
Suppose 4*f + d - 20 = 0, -4*f + 10*d = 6*d - 40. Suppose -u - 4*c + 2 = -c, 5*c = 4*u - 25. Suppose -8 = -u*s + 7. Solve f*z + 9 = s*z for z.
-3
Suppose 75*s = 4499 + 6601. Solve -8*l + 188 = s for l.
5
Let j = 408 + -199. Let w = 211 - j. Let y be (2 - -4)*(3 + -2). Solve -y + w = 2*n for n.
-2
Let o = 4943 - 4642. Solve -o = -94*d - 19 for d.
3
Suppose 2 = 3*p - 10. Suppose 2*g - g + 11 = -p*m, -g = m - 1. Solve 0 = -0*k - g*k - 10 for k.
-2
Let z = -17196 - -17356. Solve -171*y + 77 = -z*y for y.
7
Suppose 3*g + i = -0*g + 14, 5*g + 2*i - 23 = 0. Suppose 0 = 4*p + 5*y - 5, -g*p + 4*y = -0 + 4. Let o be (p + 0)*3/6. Solve o + 12 = -3*l for l.
-4
Let j(n) = -n + 2. Let z be j(0). Suppose 5 = 139*m - 142*m + l, 5 = 2*m + l. Suppose 4*a + 20 = z*q, m*a - 10 = -q - 4*a. Solve -w + 3*w + q = 0 for w.
-5
Let u = -12900 + 12905. Solve 44 - 34 = u*x for x.
2
Let k(o) = 49*o + 117. Let x(l) = -47*l - 117. Let m(h) = -6*k(h) - 7*x(h). Let b be m(-3). Solve -3*i + b = i for i.
3
Suppose 0 = -3*a + 3*n + 306, 3*a - 140 - 166 = -n. Suppose 6*x - 6 = a. Let s be x/(-1)*(-1)/3. Solve -2*d = -4*d - s for d.
-3
Let i = -2716 - -5337. Solve -8*y - i + 2661 = 0 for y.
5
Suppose 5*h = 6*h + 4. Let a be (48/4)/((-6)/h). Let k = a + -4. Solve 0*s = -2*s + k for s.
2
Let j be -6 + -2*(28/(-8) + 3). Let x be 2*(4/j)/((-14)/35). Suppose -5*i = -29 + x. Solve -4*g = -7 - i for g.
3
Suppose 2*t = w - 145, -91*t + 688 = 4*w - 87*t. Solve -167*q + w*q + 36 = 0 for q.
9
Let z(k) be the third derivative of -5*k**4/4 + k**3 - 4*k**2. Let o be z(1). Let r = -21 - o. Solve -r*x = -2*x for x.
0
Let b(s) = -2425*s + 4. Let i be b(0). Suppose -5*p + 4 + 26 = 0. Solve 0 = p*h - i - 2 for h.
1
Suppose -4*c = 5*z - 66, -26*c - 3 = -29*c + 4*z. Solve -c*n = -15*n for n.
0
Suppose 0*j - 2 = 2*j, -3*i + 19 = 2*j. Suppose -g + 42 = -i*g. Let b(o) = -o - 3. Let w be b(g). Solve -x = x + w for x.
-2
Let k(b) = b**2 - 3*b + 20. Let z be (3/1 + -3)/(-4 - -8). Let x be k(z). Solve 2*c + 3*c + x = 0 for c.
-4
Suppose 0 = 2*x - 3*m - 71, 0 = 135*x - 130*x + 4*m - 120. Solve x*q - 165 = -5*q for q.
5
Let o(c) = -5*c - 37. Let d be o(-9). Let a be 2/d*3*(-440)/(-66). Solve a*t + 31 = 6 for t.
-5
Suppose -o = -3*m - m - 25, -100 = -5*o - 5*m. Suppose 3*k - 3 + o = 3*h, 0 = 2*h - 3*k - 15. Solve 21 = -h*s + 36 for s.
5
Let q(t) = -t**3 + 42*t**2 - 5*t - 114. Let y be q(42). Let a be y/(-243) + (-8)/6. Solve -16*n + 19*n = a for n.
0
Suppose -43509 = -72*r + 8475. Solve -21*y - r = -575 for y.
-7
Suppose -2*c + 0 + 6 = -j, 0 = 5*j + 3*c - 35. Let b be (0 - j/12)*0. Suppose -3*r + 15 = -b. Solve -r*p = -p for p.
0
Suppose -3*v + 6*v - 2*y = 18, -3*y - 1 = 2*v. Let u(s) = -s**2 - 17*s - 65. Let b be (-155)/15 + 2/6. Let w be u(b). Solve v*z + 5 = w*z for z.
5
Suppose 2*x + 5*k = 23, k + k - 14 = 4*x. Let f be 32/(-48)*(x - 8). Solve 4*d - 7*d = -f for d.
2
Suppose 6*c + 7 = 19. Suppose 3*r - 3 + 2 = c*b, -5*b = 3*r - 29. Suppose v - 3 = 0, 5*j + 4 + 0 = 3*v. Solve -b*o = 3 + j for o.
-1
Suppose -171*m - 9880 = -301*m. Solve -s + m = 79 for s.
-3
Let y(u) = -7*u**2 + 39*u + 14. Let g be y(6). Let s be 74/14 + g + 234/63. Solve 11 - 6 = -s*l for l.
-1
Let k be (3 - -2) + (3 - -1)*1. Let f be ((-4)/k)/((-38)/(-95))*-9. Solve -3*y = -1 + f for y.
-3
Let n(w) = 4*w**2 - 93*w + 392. Let m be n(18). Solve 411 - 481 = -m*i for i.
5
Suppose 0 = 5*p - 25, -4*d + 453 = -2*p + 463. Solve 7*u + 5*u - 6*u = d for u.
0
Let w(d) = -d**3 + 10*d**2 - 9*d + 4. Let m be w(8). Let x be (480/128)/(9/m). Suppose 5*a + 2 - 20 = -2*u, 4 = 2*a. Solve -k - u*k + x = 0 for k.
5
Let s be 14/(-35) + 8/30 - 910/(-75). Solve -s = 7*a + 9 for a.
-3
Let r = 110 - 186. Let l = 70 + r. Let x be (1 + (-8)/4)*l/3. Solve x*m + 5 - 13 = 0 for m.
4
Let s(q) = 2*q**2 - 6*q + 4. Suppose -7*j - 49 + 70 = 0. Let o be s(j). Solve 0 = -o*n + 5 + 11 for n.
4
Let d = -261 + 268. Suppose -2*a + 0*h = -5*h - d, 3*h - 3 = 0. Solve 1 - a = 5*v for v.
-1
Suppose -j + 20 = 3*p, -10*j = 3*p - 13*j. Suppose -p*w = 99 - 159. Solve -r + w = 3*r for r.
3
Suppose -3*f + 252 = -2*f. Suppose -u + f = -2*u. Let j be (-1)/(-4) - u/16. Solve -j = l - 5*l for l.
4
Let v be ((-73224)/810 - 11/(-1))*-5. Solve -v*k = -404*k + 49 for k.
7
Suppose -z - 5*b = -49, -24 = -2*z + 5*b - 1. Let p be 3*(z/42)/(12/14). Let i be (1 + -3)/2*0. Solve i*g = -p*g - 6 for g.
-3
Let z = -5860 + 5873. Solve 31*f = z*f - 108 for f.
-6
Let b = 21 + -19. Let d be (4/6)/(85/(-45) + b). Solve -3 = -3*m + d for m.
3
Let t be (3/(-5))/(14/(280/(-6))). Let s be (-2)/30*-3 + t/(-10). Solve s*a + 2*a - 10 = 0 for a.
5
Let r be ((-7)/(7/(-2)))/((-22)/(-33)) - 1. Solve -279*x + 280*x = r for x.
2
Suppose -s + 4 = l, 5*s - 8*s = l - 8. Let u be (20/24)/(l/12). Solve -7*b - u = -2*b for b.
-1
Let f = 525 + -517. Suppose -4*w = -5*h - 32, 6*h = w + 4*h - f. Solve w*a + 45 = 5 for a.
-5
Suppose -19*u + 25 = 177. Let w be u/(-12)*(-3)/1 + 2. Solve -2*v = -w*v + 4 for v.
-2
Let b(n) = 12*n**3 + 4*n**2 + 132*n - 409. Let l be b(3). Solve -75*j = -l - 28 for j.
5
Let z(t) = 5*t**2 - 4*t + 5. Let n be z(1). Suppose 5*d = -b - 9, -n*d + 2*d = 12. Let j(h) = -8*h - 36. Let y be j(-5). Solve y*s - b = 2*s for s.
3
Let g(q) = 5*q + 5. Let r(l) = -11*l - 10. Let o(t) = -9*g(t) - 4*r(t). Let w be o(-11). Solve -15 = -w*j + j for j.
3
Suppose 29 = 5*a - f, -3*a - 33*f = -31*f - 20. Let o(s) = -s**2 - 7*s - 5. Let i be o(-6). Let h = -1 + i. Solve h = 2*q - 0*q + a for q.
-3
Let i = 19481 - 16766. Solve -5*g + 2690 - i = 0 for g.
-5
Let w(u) = 2*u**3 - 2*u**2 - u + 4. Let y be w(2). Suppose -212 = -y*j - 32. Suppose q + 29 = 4*g - j, -3*q = g - 2. Sol
|
{
"pile_set_name": "DM Mathematics"
}
|
third derivative of 19617803*q**3 + 5467234*q**2 wrt q?
117706818
What is the third derivative of m*o**3*w**2 + 403867*m*o**2*w**3 - 4*m*o**2 - 2*m*o*w**3 + 4623735*o**3*w**3 wrt o?
6*m*w**2 + 27742410*w**3
What is the second derivative of -127348933*o**2*z**2 - 18220*o*z**2 + o*z - 7*z - 5 wrt o?
-254697866*z**2
What is the third derivative of 7*k**5 - 7212*k**4 + 521*k**3 - 307*k**2 - 2*k + 3565?
420*k**2 - 173088*k + 3126
Find the third derivative of 2565266*c**4 - 2*c**2 - c + 14144 wrt c.
61566384*c
Find the first derivative of 98*l*m**3 + 7656*l*r**3 - 3028649*m**3*r**3 + m*r**3 wrt l.
98*m**3 + 7656*r**3
Find the first derivative of -24639026*x**2 + 12213834.
-49278052*x
Differentiate 60476167*k**2 - 34601335 wrt k.
120952334*k
Find the first derivative of 166553257*u**2 - 92534345 wrt u.
333106514*u
Differentiate 17*d*f**3*t**3 - 3183951*d*f*t**3 - 3*f**3*t**3 - 21462234*f**2*t**3 with respect to d.
17*f**3*t**3 - 3183951*f*t**3
What is the second derivative of -790*x**5 + 4506*x**3 - 91543637*x wrt x?
-15800*x**3 + 27036*x
What is the first derivative of 2*c**4*r - 658*c**4 + 414*c**2*r - 17347*r - 138 wrt c?
8*c**3*r - 2632*c**3 + 828*c*r
What is the third derivative of -96155*x**4 + 274*x**3 + 410831*x**2 + 2*x?
-2307720*x + 1644
What is the third derivative of 469494138*u**5 - 3*u**2 + 15218*u - 333?
28169648280*u**2
Find the third derivative of -2110141*n**6 - 22167187*n**2.
-253216920*n**3
Find the third derivative of -4*a**3*t**2*z**2 + 47668008*a**3*z**2 - 3*a**2*t**2*z**2 + 3*a**2*t + 54*a**2*z - 2*a*z**2 + 12664*t*z**2 wrt a.
-24*t**2*z**2 + 286008048*z**2
Find the second derivative of 308*n**3 + 16339*n**2 + 128847591*n wrt n.
1848*n + 32678
Differentiate i**4 + 1129862*i + 619135 with respect to i.
4*i**3 + 1129862
What is the second derivative of -2838461*k**4 - 8740451*k?
-34061532*k**2
What is the first derivative of -113279*n**3*u + 3733*n**3 - 214*n**2*u + 2*u + 551 wrt u?
-113279*n**3 - 214*n**2 + 2
Differentiate -242308*v**3*w**2 - v**3 + 2*v**2 - v*w**2 + 43*v - 834 with respect to w.
-484616*v**3*w - 2*v*w
Find the third derivative of -1622658*n**5 + 2*n**2 + 258926*n + 2.
-97359480*n**2
Find the third derivative of -29676323*u**2*v**3 + 3*u**2*v**2 + 2*u**2*v + u*v**2 - u - 33*v**2 - 77 wrt v.
-178057938*u**2
What is the third derivative of 36*a**2*x**3 + 3*a**2*x**2 - 111*a**2*x - a**2 - 47776*a*x**3 - 859*a + 2*x**2 wrt x?
216*a**2 - 286656*a
What is the third derivative of -24*c*q**5 + 56860*c*q**3 - 7*c*q**2 + 23*c*q - 25*q**3 - 170849*q**2 wrt q?
-1440*c*q**2 + 341160*c - 150
What is the second derivative of 31556*a*t**3 + a*t**2 + 281*a*w**2 + 9*a*w + 55923*t**3*w**3 - t**3 wrt w?
562*a + 335538*t**3*w
Find the second derivative of -70187712*l**2 - 70589808*l + 1.
-140375424
Differentiate 9*i**2 - 317983*i + 12177128 wrt i.
18*i - 317983
Find the third derivative of 559802572*g*q**3 - 87*g*q**2 + g*q - 4*g - 4*q**2 + 3*q - 269 wrt q.
3358815432*g
What is the second derivative of -54123*t**2*v**3 - 11*t**2*v*x**2 + t*v**3*x**2 + t*v**3*x + 12*t*v*x - 66*t*v - 2*v**2*x + 110*v*x wrt t?
-108246*v**3 - 22*v*x**2
Find the second derivative of -100993320*m*x**2 - 2*m*x - 4*m + x**4 + 951409*x - 10 wrt x.
-201986640*m + 12*x**2
What is the second derivative of 144778850*m**2 - 60787*m + 175 wrt m?
289557700
What is the derivative of -3*j**4 - 520*j**3 - 1217*j + 7108896 wrt j?
-12*j**3 - 1560*j**2 - 1217
What is the second derivative of -16*g**2*p**2 + 2723118*g**2*p*q - 3*g**2 - 12*g*p**2 + 32*g*p*q - 197*g*p - g*q + 8*p**2*q - 4*p*q wrt g?
-32*p**2 + 5446236*p*q - 6
Find the third derivative of 4470478*i**4 + 29984*i**2 + i + 6 wrt i.
107291472*i
Differentiate 100*f**3 - 63*f**2 + 1508*f + 167324530.
300*f**2 - 126*f + 1508
Find the third derivative of 93150941*t**5 + 2455137*t**2 + 3*t.
5589056460*t**2
Find the third derivative of 12847023*r**3 + 6071362*r**2 + 2 wrt r.
77082138
Find the second derivative of -184009247*k**2 + 264319588*k wrt k.
-368018494
Find the third derivative of 316140*l**6 - 2*l**4 + 4744460*l**2.
37936800*l**3 - 48*l
What is the third derivative of -1094624*x**4 - 20*x**2 + 22101*x wrt x?
-26270976*x
What is the second derivative of 34906671*c**3*n - 5*c*n + c - 16*n - 1564 wrt c?
209440026*c*n
What is the third derivative of -6349365*a**6 + 2*a**4 + 420*a**2 + 900?
-761923800*a**3 + 48*a
What is the third derivative of 13*o**5 + 1389*o**4 - 6*o**3 - 2848531*o**2?
780*o**2 + 33336*o - 36
Find the second derivative of 103*b*l**3 + 5*b*l**2 + 3*b*l - 2*l**3 - 43214*l**2 + 37600565*l wrt l.
618*b*l + 10*b - 12*l - 86428
What is the first derivative of 36*c*i**2*k + 31*c*i*k - 79*c*k - c + 481*i**2*k - 533*i**2 wrt c?
36*i**2*k + 31*i*k - 79*k - 1
What is the second derivative of -23879743*g**2 - 10930312*g wrt g?
-47759486
Find the third derivative of -68*o**4*x**3 + 21545*o**4 - 630*o**2*x**3 + 22096*o**2 wrt o.
-1632*o*x**3 + 517080*o
Find the second derivative of 29582677*d**3*k**2*l - d**3*k*l + 10*d**3*l**2 - 49*d**2*k*l**2 + 22*d**2*l**2 - 3*d*k**2*l**2 - 4*k wrt k.
59165354*d**3*l - 6*d*l**2
Find the third derivative of -886830987*f**4 + 658501583*f**2 wrt f.
-21283943688*f
Find the first derivative of -646893*d**2 - d - 305671821 wrt d.
-1293786*d - 1
Find the second derivative of b**2*l**2*u + 3*b**2*l*s**2*u + 3*b*s**3*u - 91*l**2*s**3 - 50879*l**2*u + 1485*l*s**3*u + 4*l + 6*s wrt l.
2*b**2*u - 182*s**3 - 101758*u
What is the derivative of -63604068*j**3 - 63930677 wrt j?
-190812204*j**2
What is the derivative of -1052*c**2*m**2 - 960339*c**2 + c - m**2 + 382*m wrt m?
-2104*c**2*m - 2*m + 382
Differentiate 71668907*i*j*x**2 - 3*i*x**2 - 3933530*j*x**2 + 23*j wrt i.
71668907*j*x**2 - 3*x**2
Find the third derivative of 9011538*t**3 + 11499*t**2 + 301*t.
54069228
Find the second derivative of 33431652*c**4 + 59463360*c.
401179824*c**2
What is the second derivative of -470205751*v**3*y - 3850*v*y - 7128*v wrt v?
-2821234506*v*y
What is the second derivative of 2*f**5 - 1167912*f**3*o**2 - 2*f - 13*o**2 + 16416*o - 7 wrt f?
40*f**3 - 7007472*f*o**2
Find the second derivative of -1492*n**3 - 249336*n**2 - 659195131*n.
-8952*n - 498672
What is the second derivative of 149710799*s**3 - 10*s - 958111 wrt s?
898264794*s
What is the second derivative of z**5 + 102625*z**4 + z**2 + 30151446*z wrt z?
20*z**3 + 1231500*z**2 + 2
Differentiate -9307*n**3*p - 1101*n*p**3 - p**3 - 332*p**2 - 5*p + 204 wrt n.
-27921*n**2*p - 1101*p**3
Differentiate 5*c*h**3 + 2*c*h + 8314*c*t - 49*h**3*t - 90395*h**3 + h**2 with respect to t.
8314*c - 49*h**3
What is the first derivative of 1343775*k**3*r - 2574035*k**3 wrt r?
1343775*k**3
What is the derivative of 2359*a*s**2 - a + 224*s**2 + 19248120 wrt s?
4718*a*s + 448*s
Find the second derivative of 3*r**3 + 1909933*r**2 - 3115578*r - 2 wrt r.
18*r + 3819866
What is the second derivative of -27*o*s**5*w + 183*o*s - 4*o*w + 54354*s**5*w + 9*s + 2*w wrt s?
-540*o*s**3*w + 1087080*s**3*w
Find the third derivative of 1824400*l**4 - 49288*l**2 - 48 wrt l.
43785600*l
Find the first derivative of 95*h**3*x + 11*h**2 + 2*h*x - 2808*h + 43164768*x wrt h.
285*h**2*x + 22*h + 2*x - 2808
What is the second derivative of 3*t**5 + 87*t**3 + 10392*t**2 - 2*t - 16929772?
60*t**3 + 522*t + 20784
What is the second derivative of -84201*t**3*z**4 + 3*t**3*z + t**2*z + 303*t*z - 4*t - 376*z**2 + 4*z - 6 wrt z?
-1010412*t**3*z**2 - 752
Find the second derivative of -257451354*j**2 + 39990*j + 1684 wrt j.
-514902708
Find the second derivative of 11696686*t**3 - 5107*t - 496 wrt t.
70180116*t
Find the third derivative of -h**5 + 19*h**4 + 1101000*h**3 + 118082*h**2 - 10 wrt h.
-60*h**2 + 456*h + 6606000
What is the second derivative of 2*t**4 + 7776224*t**2 - 7665762*t?
24*t**2 + 15552448
What is the second derivative of 24104205*l**3*w**2 + 2*l**3*w + 5*l**3 + 157*l*w - 3280*w wrt w?
48208410*l**3
Find the third derivative of -19231254*h*k**4 - 8*h*k**3*m + 6*h*m - 32925730*k**2*m wrt k.
-461550096*h*k - 48*h*m
What is the third derivative of 294438188*p**5 - 11*p**2 + 6718063*p wrt p?
17666291280*p**2
Find the first derivative of -5446719*j**2 + 20074108.
-10893438*j
Find the first derivative of 1921*t**4 + 3*t**3 + 3*t**2 - 211*t - 410735040.
7684*t**3 + 9*t**2 + 6*t - 211
|
{
"pile_set_name": "DM Mathematics"
}
|
= -4*u - 2*b - 231. Is u greater than or equal to -101?
True
Suppose -5*a - 40 = 5*g, -7*a = -3*a + g + 17. Let v be ((-2)/a)/(6/(-9)). Which is smaller: 0 or v?
v
Let x(g) = g - 5. Let n be x(4). Let w be 5/(-12)*(-21)/(-70). Do n and w have the same value?
False
Let d be 4*5*2/40. Let h(r) = r**2. Let a be h(-1). Let i be 3 + -1 + a/3. Which is smaller: i or d?
d
Let g(z) = -z - 5. Let b(y) = -y**3 + 5*y**2 - 2*y + 5. Let f be b(5). Let u be g(f). Does 2/7 = u?
False
Let b = -5 - -7. Let l(i) = i + 2. Let j be l(0). Suppose 6 = -0*g - 2*g, b*c + 6 = -j*g. Is c equal to -1?
False
Let x = -3 + 2.98. Is x at most -4?
False
Let o(l) = 2*l**2 - 33*l - 8. Let s be o(16). Is s at most as big as -24?
True
Let w = 112.2 + -112. Is w bigger than 38?
False
Let x(m) = -m**3 - 6*m**2 - 5*m - 2. Let j be x(-4). Let a be 1 + 2 + j/4. Which is smaller: a or -2?
-2
Let a be 0/((-100)/(-45) + 4/(-18)). Is a at least 1/61?
False
Let o = -5.9 + 3.9. Which is greater: o or -10?
o
Let t = -151/44 + 24/11. Let c(w) = w**2 + 5*w - 8. Let y be c(-6). Let a = -4 - y. Which is smaller: a or t?
a
Suppose -3*g = 3*n + 15, 2*g - 14 = -0*n + 4*n. Let p be ((-2)/n)/(126/8). Let y = 16/63 + p. Is -4 at least y?
False
Let o(w) = -w**3 + 5*w**2 + 6. Let k be o(6). Let m = 23 + k. Is -8 not equal to m?
True
Suppose 2*c = 5*w + 24, 3*c - 5*w = -0*w + 26. Let d be (2 + -6)/c + 2. Let r = -235/4 - -59. Which is smaller: d or r?
d
Let x be -1 + 38/(-1 + -1). Let b be (-3 - 52/x)/2. Is b smaller than -1?
False
Suppose 5*l + v = 54, 0 = -5*l + 3*l + 2*v + 24. Let h = -10 + 19. Let g = l - h. Does 3 = g?
False
Let y be (234/(-45))/(4/(-10)). Suppose -4*n + 9 = y. Which is greater: -3/7 or n?
-3/7
Let w be 2 + 0 + (-3 - 0). Which is bigger: -2/35 or w?
-2/35
Suppose 4*q + 65 = 25. Let d(k) = k**2 + 11*k + 9. Let a be d(q). Which is bigger: 2/11 or a?
2/11
Suppose -2*b = b + 9. Let c be 80/15 - 2/b. Let v be c/10 + (-196)/35. Which is smaller: v or -1?
v
Let j be 2/(-20)*625/50. Which is smaller: -0.9 or j?
j
Let s = -3 + 1. Let v = -1.9 + 2.3. Let k = v + 0.6. Which is smaller: k or s?
s
Let q be (1/(-1) + 0)*-1. Let u be q + -1 + 3 - 3. Which is smaller: u or -1?
-1
Let o be (-1 - (-158)/7) + (-24)/(-56). Is o at most 21?
False
Let v = 3 - -39. Let a be (-259)/v - (-1)/6. Which is smaller: a or -7?
-7
Let o be (-177)/1278 - (-2)/12. Is -1 <= o?
True
Let j be (0 - 1) + 0 + -11. Which is bigger: j or -13?
j
Let f(g) = -6*g - 31. Let i be f(-5). Which is smaller: -1/130 or i?
i
Let u(b) = 3*b**2 - 9*b**2 - 6*b**2 - 7 - 12*b - b**3 + 0*b**2. Let r be u(-11). Which is bigger: 5 or r?
5
Let c = -1.3 + 0.3. Let x = 1 + c. Suppose 2 = -168*w + 170*w. Is x >= w?
False
Let u(r) = 4*r - 5*r + 7 - 5. Let l be u(1). Let y be l/((11/4)/1). Is 1 bigger than y?
True
Let x = -1.4 - -1.5. Is 1 greater than x?
True
Let z = -2 + 5/3. Let o = -545 + 546. Is o greater than or equal to z?
True
Let u(w) = -w**2 - 7*w - 9. Let t be u(-7). Is t > -11?
True
Suppose d - 4*d + 10 = -2*c, 5*c + 15 = 5*d. Let u = -23 - -22. Is d >= u?
True
Let z = 1.12 + -4.12. Let i be 0 - 3/(21/2). Are z and i nonequal?
True
Let v = -13 + 11. Let i = -5 - -7. Let r = v + i. Which is bigger: r or -0.2?
r
Let i be ((-88)/(-10))/(4 + (-57)/15). Which is greater: i or 45?
45
Suppose 2*z = -4*x + x + 7, -4 = -2*z. Suppose -5*q = -2*r - 13, -2*q + 5*q = -2*r + 11. Suppose -x = m - q. Is m > 3?
False
Let u be (5 + -9)*2/4. Which is greater: -2/3 or u?
-2/3
Let r be 1/((-91)/(-93)) + -1. Is 0 < r?
True
Suppose 3*i = 4*i. Let u = 1 - 1. Let p = u + 1. Is i at most p?
True
Let m(o) = 9*o + 36. Let y be m(-5). Which is bigger: y or -10?
y
Suppose -3*d - 2*p = -d - 8, 3*p = -4*d + 21. Suppose 2*b - d = i, -b + 16 = -2*i + b. Let l(g) = -g**2 - 6*g + 4. Let u be l(i). Which is smaller: -2 or u?
u
Let c = 4/53 - 203/583. Let k = 3 - 3. Which is smaller: k or c?
c
Let v = 20 - 14. Suppose -2*l + v*l + 8 = 0. Do -2 and l have different values?
False
Suppose 3*q - 4 - 2 = 0. Suppose -5*p - 22 = -q. Let g be (-8)/(-12) - p/(-6). Do g and 2/9 have different values?
True
Let b(f) = -3*f + 1. Let s be b(3). Let j be (1 + -2)*(-2)/s. Suppose 0 = 5*k + 26 - 11, -2*k = -4*n + 6. Which is smaller: j or n?
j
Let a = 6 + -5. Is -4 less than or equal to a?
True
Let w be ((-4)/(-6))/(24/36). Let d be 0/(3/(w - 2)). Let u = -0.7 + 1.3. Which is bigger: d or u?
u
Suppose 2*d + 8 = -0*d. Let o be d - -2 - (-16)/6. Which is greater: 2 or o?
2
Let l = 1/203 + 144/203. Which is smaller: l or 0?
0
Let i = -46 - -40. Which is smaller: -5 or i?
i
Suppose 4*d - r = -2*r + 14, 2*r + 20 = 4*d. Let b(g) = g**2 - 4*g. Let w be b(d). Is w bigger than 0?
False
Let a(i) = -i + 11. Let y be a(11). Let c(k) = k**2 + 7*k + 8. Let f be c(-6). Suppose 3*m + f - 5 = y. Which is smaller: m or -2?
-2
Let j = 2 - 4. Let m be (-9)/4 - j/8. Is -5 at most m?
True
Let u be 15/(-9)*6/4. Let h be 1/(-1)*15/(-3). Let l(c) = c - 7. Let z be l(h). Which is bigger: z or u?
z
Let z(w) = w**2 - 18*w - 21. Let g be z(19). Do g and -11 have the same value?
False
Let k = -127.1 + 122. Let j = k - -5. Let v = j - -1.1. Are 0 and v unequal?
True
Let q(k) be the third derivative of k**6/120 + k**5/15 - k**4/24 - k**3/2 - 2*k**2. Let s be q(-4). Let d = 2/45 - 4/15. Which is bigger: s or d?
s
Let k(y) = -y**3 - 7*y**2 + 8*y. Let x be k(-8). Let q = -0.09 + 4.09. Which is bigger: x or q?
q
Suppose -40 + 62 = -j. Is j less than -21?
True
Let i = -0.2 - -0.4. Let s = 0.38 + 0.02. Let l = s - i. Which is smaller: -1 or l?
-1
Let m = 5/739 - 8953/12563. Is m > -1?
True
Suppose 0 = -2*n + 3*h + 19, -3*n - 2*h + 1 = 5. Let z be n/((-39)/(-15) - 3). Suppose 3*y + 19 = 1. Is z smaller than y?
False
Let o be (14 - 13) + 0 + 0. Is 1 at least o?
True
Let m = -0.06 - -0.06. Let y = 0.1 - m. Which is smaller: y or 3?
y
Let t = 14 + -5. Which is smaller: 11 or t?
t
Let i = -3/22 + 17/44. Let h be (-3)/(-15) - (-18)/(-40). Is h equal to i?
False
Suppose -17 = -3*s - s + o, -4*o = 20. Suppose 3*w - 18 = 3*q, -q - 2*q = -w + 8. Suppose -w*g = -6*g + 2*i - 10, -3*g - 4*i + 20 = 0. Is g smaller than s?
True
Let i = -8/7 - -25/28. Let m be 1 + (-2)/(-2) + 0. Suppose -3*j - 2*o = m + 1, o - 1 = -4*j. Is i < j?
True
Let g = 0.23 + -0.13. Which is bigger: g or 2/7?
2/7
Suppose 4*t = 2*c - 28, 2*t - 4*t - 2 = c. Let g be c/(-4) + (-1 - -2). Let z be 0 - (-2 + 2)/1. Is z at least g?
True
Let l(o) = -o - 14. Let k be l(-14). Let a be 30/(-42) - (0 + k). Which is bigger: a or 0?
0
Let t be (5*-2)/((-2)/11) + 2. Is t equal to 58?
False
Let m = 22 + -43/2. Suppose 15*w + 7 = 3*p + 13*w, 5*p - 4*w - 15 = 0. Is m less than or equal to p?
False
Let w(a) = -1 - a**2 + 5*a - 9*a + 2*a**2 + 3*a. Let k be w(0). Is 2/5 >= k?
True
Let k be (2 + (-34)/16)*-2. Let t = -7 - -7.1. Is k at most as big as t?
False
Let l = -0.1 - -1.1. Let o = 5 - l. Let i = o - 8. Which is smaller: -0.1 or i?
i
Suppose 4 = -3*p + 7*p. Is p greater than or equal to -5/19?
True
Suppose 0*y - 5*q - 28 = -3*y, 0 = y + q + 4. Let c = 0 + y. Is c at least 1/5?
True
Let r = 4.7 + -0.7. Let f = 0.1 - -6. Let k = f + -6. Which is greater: k or r?
r
Suppose -4*h + 0*h = -3*t + 1, 4*h + 2*t = 14. Suppose l - h*l - 3 = 0. Let d be (6/4)/((-6)/16). Which is smaller: d or l?
d
Let n = -4 - -11. Let w(b) = -8*b - 5*b**3 + 3*b**3 + 4*b**3 + n*b**2 - b**3. Let k be w(-8). Which is smaller: k or 2/15?
k
Suppose 2*p + 8 = 2*y + 6*p, 4*y = 5*p + 81. Suppose 0*b = 4*b + 3*h - 14, 3*b = -4*h + y. Which is smaller: b or 3?
b
Suppose 12 = -4*l + l, -3*l - 9 = -3*b. Are -24/11 and b non-equal?
True
Let q(r) = -r**2 + 6*r - 4. Let m be q(8). Let g be m/(-16) - (-3)/12. Is 3 < g?
False
Suppose a - 2 = 5*j, a - j = 2*j. Let s(b) = 2*b + 2. Let k be s(a). Which is smaller: 0 or k?
k
Let r be -2 - -2*3/6. Let h be 4 + (-4)/52*51. Which is smaller: h or r?
r
Let p be 0/(-3 + (1 - -1)). Let d = -3.4 + -0.6. Is p smaller than d?
False
Let g = -5/108 + 547/2484. Is g at least 0?
True
Let k = 0.8 + -0.3. Let s = -12.6 + 12. Let c = k + s. Is 2 equal to c?
False
Let g = -5 - -5. Let h be 3 + -2 + 3 + g. Is h less than or equal to 4?
True
Let l be (-1 + 1)/((-2)/(-2)). Suppose -10 + 4 = -2*i. Suppose -i*d - 5 = -8. Is l bigger than d?
False
Let i(y) be the first derivative of y**4/4 + 5*y**3/3
|
{
"pile_set_name": "DM Mathematics"
}
|
1106 - 2*i - 325.
-13*i - 1488
Collect the terms in -1247*o**2 - 750*o**2 - 1814*o**2.
-3811*o**2
Collect the terms in 2 + 22234*o - 4833*o + 2259*o.
19660*o + 2
Collect the terms in 12*n - 31*n - 2282 - 2281 - 2217 + 18*n + 6780.
-n
Collect the terms in -618*k**2 + 606*k**2 + 14*k**2 + 26*k**2.
28*k**2
Collect the terms in 7907*g - 4709*g + 10106*g.
13304*g
Collect the terms in 80 - 40*o - 252 - 5*o**3 + 82 + 85.
-5*o**3 - 40*o - 5
Collect the terms in -9*j - 14 - 35 + 23 - 46 + 8*j.
-j - 72
Collect the terms in -t + 5616 - 2828 - 2806 - 2*t.
-3*t - 18
Collect the terms in 14168 - y + 14165 - y**3 - 28333.
-y**3 - y
Collect the terms in 6*g - 892*g**2 + 4478*g**2 - 919*g**2 - 892*g**2 - 887*g**2 - 891*g**2.
-3*g**2 + 6*g
Collect the terms in 328*r + 3*r**2 + 84 - 84 - 365*r - 733*r.
3*r**2 - 770*r
Collect the terms in 1228*o + 1244*o - 4946*o + 1232*o + 1223*o.
-19*o
Collect the terms in 2878 + 279*x - 2867 - 280*x.
-x + 11
Collect the terms in -14*x**2 - 630 + 630 + 744*x.
-14*x**2 + 744*x
Collect the terms in -61 - 31*q - 11*q - 15*q - 1 + 62 + 54*q.
-3*q
Collect the terms in 11063*n - 22779*n + 11427*n - 5.
-289*n - 5
Collect the terms in 1863*u - 116 - 18 - 1871*u.
-8*u - 134
Collect the terms in 4*b**2 - 235*b**2 + 27*b**2 + 21*b**2.
-183*b**2
Collect the terms in -38*y - 3 + 0 + 45 + 141*y.
103*y + 42
Collect the terms in -15*c**3 + 51*c**2 + 50*c**2 - 15*c**3 + 44*c**2 - 145*c**2.
-30*c**3
Collect the terms in 187*t**3 + 152*t**2 + 473*t**3 - 403*t**2.
660*t**3 - 251*t**2
Collect the terms in -296*y - 1542 + 295*y - 68491.
-y - 70033
Collect the terms in 2697 - 1031*g**2 - 2697 + g.
-1031*g**2 + g
Collect the terms in 11162*z - 22577*z + 11449*z.
34*z
Collect the terms in -32*t**2 - 33*t**2 - 33*t**2 + 210*t**2 - 38*t**2 - 35*t**2 - 42*t**2.
-3*t**2
Collect the terms in -4957 + 2535 + 2422 - 2490*x + 2527*x.
37*x
Collect the terms in 32 - 483*w + 219*w + 115*w + 157*w + 158*w.
166*w + 32
Collect the terms in -y + 74*y**2 + 12*y - 332*y**2 + 36*y.
-258*y**2 + 47*y
Collect the terms in 8*c**2 + 0*c**2 - 8*c**2 - 6366771 + 119*c**3 + 6366774.
119*c**3 + 3
Collect the terms in 2031*l + 2027*l + 2038*l - 8119*l + 2032*l - 2*l**2.
-2*l**2 + 9*l
Collect the terms in -193 + 3693*o + 1886*o + 148*o.
5727*o - 193
Collect the terms in -1385*z + 3804*z + 2053*z.
4472*z
Collect the terms in -23*t + 272759 - 136291 - 136459.
-23*t + 9
Collect the terms in -37947*o - 37950*o - 3*o**2 + 7*o**2 + 75901*o.
4*o**2 + 4*o
Collect the terms in -9681*d**2 + 1190*d**2 - 4088*d**2.
-12579*d**2
Collect the terms in -1 - 5 + 15*o**2 + 7 + 13993*o - 1 - 13993*o.
15*o**2
Collect the terms in -841 + 156 + m - 324 - 739 - 963.
m - 2711
Collect the terms in -34*v - 45*v - 531*v + 624*v.
14*v
Collect the terms in -6 - 4457*n - 2265*n + 9 - 3.
-6722*n
Collect the terms in 4458*p + 9213*p + 3653*p.
17324*p
Collect the terms in -1982*x**3 + 3978*x**3 - 2025*x**3 - 2*x**2 - 923*x**3.
-952*x**3 - 2*x**2
Collect the terms in -657823*a + 657823*a - 3731*a**2.
-3731*a**2
Collect the terms in -10 - 87*t**2 + 89*t**2 - 11 - 49 + 91 - 12.
2*t**2 + 9
Collect the terms in -4 + 228*p**3 - 115*p**3 + 1 + 3 + 69*p**3.
182*p**3
Collect the terms in 1618 - 3282 + 1664 - 40896*a**3.
-40896*a**3
Collect the terms in 166956*i + 33 + 2*i**2 - 166956*i.
2*i**2 + 33
Collect the terms in 5012*q - 2525*q - 2487*q + 9*q**3 + 1143.
9*q**3 + 1143
Collect the terms in -16143*t**2 + 14438*t - 14438*t.
-16143*t**2
Collect the terms in -81937214*h**2 + 9*h + 163874416*h**2 - 81937200*h**2.
2*h**2 + 9*h
Collect the terms in -575*k**2 - 581*k**2 - 24 - 563*k**2 + 1720*k**2.
k**2 - 24
Collect the terms in -128 - 29 - 130 + 287 - 4716*j**2.
-4716*j**2
Collect the terms in 162 - 52 - 59 - 4474*y**2 - 51.
-4474*y**2
Collect the terms in 54 - 8912*f**3 - 54 - 5657*f + 5657*f.
-8912*f**3
Collect the terms in 18552*b - 4058 - 6185*b - 6185*b - 6183*b.
-b - 4058
Collect the terms in -15*p + 31*p - 16*p - 1510012*p**2.
-1510012*p**2
Collect the terms in 130*o**2 + 66*o**2 + 89 - 205*o**2 - 103.
-9*o**2 - 14
Collect the terms in 11599*p**3 + 62*p - 64*p + p**2 - p**2.
11599*p**3 - 2*p
Collect the terms in 299*d**3 - 576*d**3 + 11301*d + 279*d**3 - 11301*d.
2*d**3
Collect the terms in -6924 + 3*p - p - p - 2752 - 3*p.
-2*p - 9676
Collect the terms in 19*t**2 - 72148 + t - 72372 + 144520 - t.
19*t**2
Collect the terms in -18*m + 2 + m + 41 + 10*m + 36.
-7*m + 79
Collect the terms in 659 - 288 - 298 + 5*z - z.
4*z + 73
Collect the terms in -24*d**3 + 12819*d + 12820*d - 38465*d + 12826*d.
-24*d**3
Collect the terms in 30 + 36 + 1011*j + 36 - 91.
1011*j + 11
Collect the terms in 24*k**2 - 8*k**2 - 11923*k**3 - 20*k**2.
-11923*k**3 - 4*k**2
Collect the terms in -13905*n**2 + 2683*n**2 + 11224*n**2.
2*n**2
Collect the terms in 484 + 482 - 8*g + 488 + 484 - 1938.
-8*g
Collect the terms in -1 - 4 + a + 155446*a**2 + 12 - 5.
155446*a**2 + a + 2
Collect the terms in 2*l - 99103 - 324919 - 4*l.
-2*l - 424022
Collect the terms in 6 + 255946*m**2 - 5 - 85*m**3 - 1 - 255946*m**2 - 2*m.
-85*m**3 - 2*m
Collect the terms in -76*d**3 + 1173045 - 2346093 + 1173050.
-76*d**3 + 2
Collect the terms in -180*n**2 - 250*n**2 + n + 1051*n**2 + 1.
621*n**2 + n + 1
Collect the terms in -x - 11*x**2 - 10*x + 9*x**2 + x - x**2 - 26*x.
-3*x**2 - 36*x
Collect the terms in 253*d**3 + 596*d**3 - 13504*d**3 - 5220*d**3.
-17875*d**3
Collect the terms in 0*q - 19520 + 53971 + 37317 + 2*q + 45196.
2*q + 116964
Collect the terms in -48511*q + 33797*q - 50494*q.
-65208*q
Collect the terms in 122738*i**3 - 245548*i**3 + 122807*i**3.
-3*i**3
Collect the terms in 999*f**2 - 1987*f**2 + 490*f + 991*f**2 + 2.
3*f**2 + 490*f + 2
Collect the terms in -83986*d - 83986*d - 83979*d + 251946*d.
-5*d
Collect the terms in 1681*j**2 + 2285*j**2 + 1624*j**2 - 5592*j**2.
-2*j**2
Collect the terms in -349 + 392 + 176 + 16*l**2 - 103 - 116.
16*l**2
Collect the terms in 2922 - 5860 - 577*w**3 + 2938.
-577*w**3
Collect the terms in -66*v**2 + 384*v**2 + 0 - 1084*v**2 + 410*v**2 + 412*v**2 + 0.
56*v**2
Collect the terms in -1 - 11628*v + 61213*v + 1.
49585*v
Collect the terms in -31552 + b + 10*b**3 + 31290 - b.
10*b**3 - 262
Collect the terms in 1749*r**3 + 8 + 1622*r**3 - 3368*r**3.
3*r**3 + 8
Collect the terms in -289*a**2 - 193*a**2 - 226*a**2.
-708*a**2
Collect the terms in -336*u - 520*u + 7*u**2 - 38*u**2 + 57*u**2 - 25*u**2.
u**2 - 856*u
Collect the terms in 6640 + 111*j + 6662 - 13306.
111*j - 4
Collect the terms in -828438 - 112*x + 99*x + 828466.
-13*x + 28
Collect the terms in -6*f + 6263*f**2 + 4*f + 6110*f**2 - 12360*f**2.
13*f**2 - 2*f
Collect the terms in -640465*d + 1280925*d - 2*d**2 - 640460*d.
-2*d**2
Collect the terms in -251986 + 251986 + 58*x + 60*x - 115*x.
3*x
Collect the terms in -2782*u - 2*u**2 - 2794*u + 4*u**3 + 1068 + 5576*u.
4*u**3 - 2*u**2 + 1068
Collect the terms in -809*x**2 - 625*x - 167*x + 792*x.
-809*x**2
Collect the terms in -4461*p - 391616*p**2 + 4461*p.
-391616*p**2
Collect the terms in 404594*j**2 - 2*j - 134783*j**2 - 134874*j**2 - 134854*j**2.
83*j**2 - 2*j
Collect the terms in 4101*p - 246*p + 290*p + 2296*p - 306*p.
6135*p
Collect the terms in -1577*x**2 + 3299*x**2 - 1613*x**2 - 14.
109*x**2 - 14
Collect the terms in -1626 + 1626 - 1001*t - 2616*t.
-3617*t
Collect the terms in -269666*u + 67416*u + 67417*u + 67413*u + 67415*u.
-5*u
Collect the terms in -3*w + 4*w - 258183*w**3 - 2*w.
-258183*w**3 - w
Collect the terms in -518*w + 124*w**3 + 58*w**3 + 323*w + 197*w.
182*w**3 + 2*w
Collect the terms in -63687*s**2 - 63687*s**2 + 191074*s**2 - 63689*s**2.
11*s**2
Collect the terms in -5*d - 248*d**2 - 37*d**2 + 278*d**2 + 5*d.
-7*d**2
Collect the terms in 694*m**3 + 0*m**2 + 71161*m**3 + 0*m**2.
71855*m**3
Collect the terms in -473*f**2 - 1151*f**2 + 270*f**2 - 122*f**2.
-1476*f**2
Collect the terms in -1108 - 1975 + 77*b + 6*b**2 - 7*b**2 - 75*b.
-b**2 + 2*b - 3083
Collect the terms in -35*m**3 + 1853*m**2 + 1782*m**2 - 3512*m**2 + 1.
-35*m**3 + 123*m**2 + 1
Collect the terms in -746 + 203*n - 147*n - 96*n.
-40*n - 746
Collect the terms in 167203887 + 5*u + 167203968 - 334407855.
5*u
Collect the terms in 3 - 2 - 335*t + 5 + 4 - 11.
-335*t - 1
Collect the terms in 1359*v**3 - 4 - 3*v**2 + 1327*v**3 - 2687*v**3 + 4 + 3*v**
|
{
"pile_set_name": "DM Mathematics"
}
|
d biggest value in -2, 0, -0.39, 3, -2.2, -4/7?
0
What is the second smallest value in -11/3, -5, 0.4, -2/5, -1?
-11/3
What is the sixth smallest value in 0.5, 5, 394, -14, -2, -1/3?
394
What is the biggest value in -1/7, 3, 0.082, 0.8, 0.3?
3
What is the smallest value in -10, 5, -4, -1/2, 1?
-10
Which is the smallest value? (a) -17 (b) 4 (c) 1 (d) -2.5 (e) -5
a
Which is the second smallest value? (a) -0.21 (b) -1980 (c) -3
c
Which is the third biggest value? (a) -717 (b) 0.139 (c) -2
a
What is the fifth biggest value in -2/15, -0.1, 5, 1/2, -1315, 0.4?
-2/15
What is the fourth smallest value in -10, -0.06, -2/5, -2, -12?
-2/5
What is the fifth biggest value in -3/4, -1/8, 1, 0.467, -2?
-2
What is the second smallest value in -5, 5, -33, 0.1, 3, -10/39?
-5
What is the third biggest value in -2/11, 3/16, -70?
-70
Which is the fourth smallest value? (a) -41 (b) -4 (c) 2 (d) -3 (e) -0.3 (f) -13
d
What is the second biggest value in 2, -0.05, 2/2547, 2/15, -1/7?
2/15
Which is the second smallest value? (a) 5 (b) -1.7 (c) 4 (d) -1 (e) -1/3 (f) 1
d
What is the fifth smallest value in 0.3, 2/11, -6/11, -0.2, 5?
5
Which is the biggest value? (a) -1.51 (b) -89 (c) 7
c
Which is the second biggest value? (a) 11/8 (b) 12 (c) 23
b
What is the fifth smallest value in -1/2, 0.1, 10, -5, 0?
10
What is the second biggest value in 0.4, 9/17, -8, -0.2?
0.4
Which is the third smallest value? (a) -0.4 (b) 35 (c) -13 (d) 7/36
d
What is the smallest value in -0.4, -0.3, 1388, -3, 0.06?
-3
Which is the third smallest value? (a) 42/19 (b) 1 (c) -0.3 (d) 42 (e) 2
e
What is the second smallest value in -0.1, 1039, -1/9?
-0.1
Which is the third biggest value? (a) -5 (b) 773 (c) -2/7
a
What is the smallest value in 1, 4, 1/7, -0.05, -0.01, 0.1?
-0.05
What is the smallest value in -0.1, 5610, -5, -1/5, 1/10?
-5
What is the smallest value in -1/2, -0.692, -0.01?
-0.692
What is the second smallest value in -99, 12, -59?
-59
Which is the third smallest value? (a) 0 (b) 76 (c) 12715
c
Which is the fifth biggest value? (a) 1 (b) 5 (c) -1/9 (d) 0.3 (e) -0.09 (f) 7
e
Which is the smallest value? (a) 6427 (b) -86 (c) 0.4
b
Which is the fifth biggest value? (a) -2 (b) -0.1 (c) -6 (d) 19 (e) -62
e
Which is the second biggest value? (a) -0.111 (b) 15 (c) 328
b
What is the biggest value in -1, 1/3, -12, -18/11, -1/10?
1/3
Which is the third smallest value? (a) 18 (b) 0.1 (c) -1 (d) -32 (e) 3 (f) 35
b
What is the second biggest value in -0.4, 80, 2/3, -6.4, -1?
2/3
Which is the second smallest value? (a) -27 (b) -2/5 (c) -4 (d) -3 (e) 1/9 (f) -2
c
What is the second smallest value in -6, -6/23, -108, 0.3, 0.5?
-6
Which is the third smallest value? (a) 26 (b) -4/7 (c) -0.8 (d) 0.4 (e) -1
b
What is the second biggest value in 5, 2.087, 19?
5
What is the biggest value in 574, 0, 1/4, 4, 0.1?
574
Which is the smallest value? (a) -3 (b) 5/6 (c) 41705
a
What is the third biggest value in 2655, -2/11, 0, -2, -1.8?
-2/11
What is the fourth smallest value in 5, 1309, -2/11, -2?
1309
What is the biggest value in -52, -46, -3, 0?
0
Which is the second biggest value? (a) 1/14 (b) -9 (c) 5 (d) 6
c
Which is the second smallest value? (a) 8 (b) 1/20 (c) -18
b
Which is the fifth smallest value? (a) 1/10 (b) 1 (c) 3/8 (d) -56 (e) 0.4 (f) -0.3
e
What is the third smallest value in 533, 2.2, 1?
533
What is the biggest value in -0.6, 0.13, 1040, -2/9?
1040
What is the smallest value in -99605, -1/3, -2/9, 4/7?
-99605
Which is the sixth smallest value? (a) -3 (b) 1.1 (c) -2 (d) -1 (e) 3 (f) -1.3
e
Which is the third biggest value? (a) 0.067 (b) 35 (c) -4/15 (d) -4
c
What is the sixth smallest value in -2, 1, -2/15, 4/5, -8, 6/19?
1
What is the second biggest value in 2.7, 62, -3, -0.3, -5/12, -5?
2.7
What is the fourth biggest value in -4, -0.1, 3, -4/51, 2.3?
-0.1
What is the biggest value in 8, 1/3, 10292?
10292
Which is the fourth biggest value? (a) -8 (b) -2281 (c) -1/3 (d) -4 (e) 3 (f) -2
d
What is the biggest value in 10, 1/20, -2/13, 2?
10
What is the third biggest value in -0.2, 3, 5, 13, -26/9?
3
Which is the smallest value? (a) -4 (b) 0.07 (c) 2.0684 (d) 0.3
a
Which is the second biggest value? (a) -6/5 (b) 4 (c) -3 (d) 1647
b
What is the second biggest value in -10, 870/77, 0.3?
0.3
What is the biggest value in 30/43, 4/7, -1.1, 2?
2
What is the third biggest value in -0.322, 24, -2/5, 1?
-0.322
Which is the biggest value? (a) -1/44 (b) -0.1 (c) 35 (d) -9/5
c
What is the second biggest value in 2/7, -0.3, 3/77, 0.2, 0.5?
2/7
What is the third biggest value in -0.81, 3, 0.06, 0.7?
0.06
What is the biggest value in 2/7, 1, 2, -5, -283?
2
What is the fourth smallest value in 0.3, 48126.2, 2, 1?
48126.2
What is the third biggest value in 4, -1/3, 17/3, -178, -4, -0.08?
-0.08
Which is the fifth smallest value? (a) -2 (b) -212/7 (c) -0.3 (d) 0.2 (e) 16 (f) -0.2
d
Which is the fourth biggest value? (a) 2/5 (b) -0.17 (c) -1/13 (d) -2
d
Which is the second biggest value? (a) -1.6 (b) 3/4 (c) 12 (d) 3/29
b
What is the fifth smallest value in 0.1, 1, -5, 1/4, 1541?
1541
What is the fourth smallest value in -2/5, 0.4, 7/8, -1/3?
7/8
What is the third biggest value in -2/13, 0.2, 1.1, -30/13?
-2/13
What is the smallest value in 252/13, 0.8, -0.09?
-0.09
Which is the biggest value? (a) 0.1 (b) -3 (c) -135697/7
a
What is the fourth biggest value in 1/11, 2/11, 1585, 16?
1/11
What is the second smallest value in -2/9, -6057, 2, 3?
-2/9
Which is the fourth biggest value? (a) -0.1 (b) -3 (c) -9 (d) -4 (e) -4/9 (f) -0.431
b
What is the fifth smallest value in -2/11, 11, 1, 5, -1/13, -0.03?
5
What is the smallest value in 0, -1/2, -5/3, -0.3?
-5/3
Which is the fifth smallest value? (a) 2/7 (b) -1/13 (c) -3 (d) -0.5 (e) -4
a
Which is the second smallest value? (a) 1/2 (b) -25/3 (c) -5 (d) 2/5 (e) 4/3
c
What is the biggest value in -165, -1/5, -0.11?
-0.11
What is the fifth biggest value in 2/7, -2/63, 2, -7, -0.5?
-7
What is the smallest value in -754, 5, -2/17, 1/4, -5?
-754
Which is the second smallest value? (a) 2 (b) -3/10 (c) 32 (d) 16
a
What is the second biggest value in -2, 5/2, 4, 29803?
4
What is the smallest value in 5/9, -1, 1/5?
-1
Which is the second smallest value? (a) -3 (b) -58 (c) 3/31
a
Which is the fourth smallest value? (a) -5 (b) 3/7 (c) 0.168 (d) 4 (e) -2
b
What is the smallest value in 1/2, 30400, -0.3?
-0.3
What is the biggest value in -4, 3580, 1?
3580
Which is the fifth smallest value? (a) 0.1 (b) 0.012 (c) -4 (d) 2 (e) -142 (f) 0.3
f
What is the biggest value in -5, 0.05, -3, 2/99?
0.05
What is the third biggest value in -0.6, -2/7, 2132?
-0.6
Which is the third smallest value? (a) 0.03 (b) -4 (c) -29 (d) -719
b
What is the fifth smallest value in -3/4, -5, 3, 0.06, 5, -5.4?
3
Which is the second biggest value? (a) 19 (b) -5 (c) -3 (d) -2/3
d
Which is the second biggest value? (a) -4 (b) -402 (c) -0.206
a
Which is the smallest value? (a) 0.02 (b) 2.3 (c) -4
c
What is the fifth biggest value in 278, 0.3, -15, -0.3, -56?
-56
Which is the sixth biggest value? (a) 0.2 (b) -136 (c) 5 (d) -150 (e) 0.5 (f) -1
d
Which is the fifth smallest value? (a) -0.5 (b) -0.04 (c) 2/13 (d) 5 (e) -215
d
Which is the second smallest value? (a) -0.55 (b) 4 (c) 12 (d) 4/3
d
What is the third smallest value in 2/11, -5/3, 11389?
11389
Which is the fourth biggest value? (a) -0.4 (b) -2.5 (c) 357 (d) -1
b
Which is the fourth biggest value? (a) 1 (b) 48 (c) -0.5 (d) 2/13 (e) 2
d
What is the fifth smallest value in -2/17, 0.3, 4, 3, -250?
4
Which is the second smallest value? (a) 3/5 (b) 0.13 (c) 1 (d) -5 (e) -1
e
Which is the second smallest value? (a) -3/781 (b) 18 (c) -12
a
Which is the biggest value? (a) -12855 (b) 5 (c) 1 (d) 4/9
b
What is the fourth smallest value in -0.02, -43, -1/7, 0?
0
Which is the third biggest value? (a) -3 (b) 1.6 (c) -6 (d) -158
c
What is the third biggest value in -987, 1/5, -1/3?
-987
What is the second biggest value in 7/3, 316, -3?
7/3
Which is the second biggest value? (a) -0.5 (b) -12 (c) 1/2 (d) -6 (e) 4
c
Which is the fourth smallest value? (a)
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 2*s + u + 6 = -s, 0 = -s - 4*u - 13. Let c be 42/(-63) - (2 + s). What is the smallest value in -5, -37, c?
-37
Let v(g) = 38*g + 228. Let n = 729 + -735. Let x be v(n). Let m = 0.8 + 0.2. What is the smallest value in -0.2, x, -4/11, m?
-4/11
Let s = 0 - 3. Let v = 6906 + -303867/44. What is the second smallest value in 0.2, s, v?
v
Let l = 88 - 80. Let j be (-336)/88 + l/(-44). Let y = 2 - 2. Which is the fourth smallest value? (a) j (b) 5 (c) 4 (d) y
b
Let t = -0.02 - -0.14. Let j = -1.88 - t. Let h = -127/212 - 1/1060. Which is the fourth biggest value? (a) j (b) -5 (c) -1/5 (d) h
b
Let i = 7 + 2. Suppose -3*g + i = -2*g. Let k be 4/18 + (-29)/g. Which is the second smallest value? (a) 18 (b) k (c) -4
b
Let j = -455.997 - -456. Let n = -0.203 + j. Which is the biggest value? (a) n (b) -4 (c) 3.4 (d) 0.3
c
Let x = -495.5 + 53.5. Let t = -441 - x. Which is the third biggest value? (a) 0.1 (b) -4 (c) t
b
Let z(s) = -61*s - 1472. Let t be z(-24). Which is the third biggest value? (a) 2/19 (b) t (c) -65
c
Let s = -187.99 - -188.29. Let f = 10 + -5. Let n = 2 - f. Which is the smallest value? (a) s (b) n (c) -3/2 (d) 1
b
Let d = 1043 - 1574.3. Let m = d - -530. What is the second biggest value in m, 2, -5, -2/7?
-2/7
Let d be 4/(-3) + 1 + 1. Let x = -132.8 + 958.8. Let n = x + -825.95. What is the third biggest value in 3/4, d, n, -1/3?
n
Let p = -6843 - -6828.5. Which is the fourth biggest value? (a) 1/7 (b) p (c) 0 (d) -2/13
b
Let l = -84.9 + 88.37. Let h = l - -0.53. Which is the second smallest value? (a) h (b) 2 (c) 3
c
Let k = -15.1 + 15. Let v = -0.1 - -0.5. Which is the fourth smallest value? (a) v (b) k (c) -5 (d) -0.05
a
Let k = 819.07 + -814. Let z = k - 4.57. What is the third biggest value in -4, 2, z?
-4
Let r = -18 + 4. Suppose 391 - 369 = 11*i. Which is the second biggest value? (a) i (b) 3 (c) r
a
Let o = -361.36 + 360. Which is the second smallest value? (a) -1 (b) o (c) -1/3
a
Let d = -449 + 271. Let a = d + 58. Let s = 117 + a. What is the second biggest value in 1, -6, s, 0?
0
Let r be 102/(-18) - -6 - (-104)/(-6). Suppose 4*c + 72 = 4*x, -18 = c + 4*x - 0*x. Let s = r - c. What is the biggest value in 0.2, s, -4?
s
Let l be (0 - 10/(-7))*(-658)/(-376). Which is the fifth smallest value? (a) 1/3 (b) -2 (c) l (d) 36 (e) -7
d
Let r = 72.79 + -74.09. What is the third smallest value in r, -2/9, 155?
155
Let h = 74 + -71. Let v be (-3 - -7)*(h - (-6)/(-4)). Let y = -32/35 + 5/7. What is the second biggest value in y, -5, v?
y
Let z = -7511 + 7513. What is the third biggest value in 1.31, 13, z, -0.1?
1.31
Let t(x) = x**3 + 178*x**2 - 34519*x - 1187. Let l be t(-295). Let d be (3/10)/(6/8). Which is the third biggest value? (a) d (b) l (c) -1
b
Let z = 2.7544 - -1.2456. Let k = -7/5 + 51/40. Let y = -3/109 + -185/1199. Which is the fourth smallest value? (a) y (b) z (c) 3/5 (d) k
b
Let z = -137.5 + 138. Let u = 56 - 842/15. Let d(h) = -h**2 - 5*h + 9. Let y be d(-7). Which is the second biggest value? (a) z (b) y (c) u
c
Let w be -6 + (-216)/(-2) + 2. Let m be ((-6)/9)/(w/78). What is the smallest value in 1, m, 2/15?
m
Let m = -21125.5 - -21125. Let h = 10 + -25. Which is the smallest value? (a) 0.1 (b) h (c) 2 (d) m
b
Let o = 0.64 - 7.29. Let j = o + 6.55. Which is the third biggest value? (a) 2 (b) 1/5 (c) j (d) 31
b
Let i = 15.017 - 15.217. What is the biggest value in i, 2, 0.09, 5?
5
Let f(i) = -i + 9. Let h be f(6). Let y = 642 + -640. Which is the smallest value? (a) -0.3 (b) 18 (c) h (d) y
a
Let k = 51668/7 - 7381. What is the fourth biggest value in 0.07, 4, k, -3?
-3
Let j = 6432 + -6431.2. What is the fourth biggest value in 0.2, j, -0.36, 0.1?
-0.36
Suppose 0 = 5*y + f - 1335, 3*y - 6*y + 5*f + 801 = 0. Let k = y + -284. Suppose -6*q = -q. Which is the third biggest value? (a) -2/5 (b) q (c) -4 (d) k
c
Let l = -15707 + 15709. What is the second smallest value in -3, 76, -10, l?
-3
Suppose 3*l + 4 = -2*m, 2*l - 5*l + 5*m - 11 = 0. Let d(h) = 9*h - 835. Let k be d(93). Which is the second biggest value? (a) k (b) 3 (c) l
a
Let w = 15 + 31. Let p = -1631 - -1586. Let v = w + p. What is the third biggest value in v, -1/6, 0, -0.1?
-0.1
Let p = -1993 - -1977. Which is the fourth biggest value? (a) -3/2 (b) -2 (c) p (d) -5
c
Let g = -6680/30141 - 2/3349. Let t = -29 + 32.4. What is the biggest value in -2/3, t, g?
t
Let t be (3 - 2) + 87/3. Let r = -485.7 - -485.3. Which is the second smallest value? (a) -5 (b) r (c) 0.1 (d) t
b
Let b = 6 - 9. Let q = 321/253 + -1907/506. What is the fourth biggest value in q, -3/8, 2, b?
b
Let u be -3 + (-12)/20 + (-492)/205. Let f = -0.2 - -0.3. Which is the third biggest value? (a) f (b) u (c) -0.2 (d) -4
d
Let d = 10/2433 + 8006963/9732. Let w = d + -830. Let j = 189/1313 + 1/101. Which is the smallest value? (a) -2 (b) j (c) w
c
Let p = 0.17 + -0.57. Suppose 11 = 3*q - 2*w, 0*w - 17 = -5*q + 4*w. Suppose -13 = -q*u + 12. Which is the biggest value? (a) 1 (b) u (c) p
b
Suppose -442*d + 533 = 46*d - 1419. Suppose 4*y - 2*y - 90 = 0. Let v be (12/y)/((-2)/(-3)). What is the third biggest value in d, -7, v, -2/9?
-2/9
Let z be 4/(-6) + (-880)/(-1122). Let h = 133/936 + -2/117. Which is the third biggest value? (a) -0.5 (b) z (c) h
a
Let v be 257/(-1028)*(18/195 - 4/10). What is the third smallest value in -1/4, v, 67?
67
Suppose -92*x = 396 + 248. What is the biggest value in x, -9, 0?
0
Let s be (-7)/(-441) - 4/9. Let f = -0.98 - -1. Let y = 0.1042 + -5.1042. Which is the smallest value? (a) f (b) s (c) y (d) 5/4
c
Let k = -6.18 + 63.18. What is the fourth smallest value in k, -0.3, 2, 4?
k
Let l be ((-4)/32)/((-1)/(-2)). What is the biggest value in 3, l, 9?
9
Let g = 59.83 + -63.03. Which is the third biggest value? (a) 0.01 (b) 2/7 (c) g
c
Let y = -287 - -288.49. Let f = y + -1.29. Which is the third smallest value? (a) -0.8 (b) f (c) -19 (d) -3
a
Let r = -0.7239 - -0.8239. Let l = -0.39 + 0.17. Let k = l + 0.02. What is the smallest value in -3/8, r, k, -3?
-3
Suppose -2*j + 5*b + 177 = 0, -4*j - 2*b + 267 = -27. What is the third smallest value in -1/2, -2/19, j?
j
Let t = 1 - -23. Let f = -3 - t. Let s = f - -21. Which is the second biggest value? (a) -3 (b) -5 (c) s
b
Let i = 2.007 - 1.307. Let v = 12.5 - 13. What is the second biggest value in v, i, -4?
v
Let l = 3167/54 - 58. Let f = l + -4/27. What is the second biggest value in f, 0.15, -0.2?
0.15
Let x = -3.69 - 1.31. Let n = -0.027 - -1.027. Which is the fourth biggest value? (a) n (b) -0.4 (c) x (d) -7/6
c
Let u be 1*-3 + 2/(-19) - -3. Let z = 13/57 - u. What is the second smallest value in -1, 10, z?
z
Let u = -4333/132 - -296/11. Let l = u + 79/12. What is the third smallest value in -2, l, 2/17?
l
Let m = 1279.8 + -1280. Let j = -211/5184 + -1/162. Let o = j + 137/192. What is the smallest value in o, 0.4, m?
m
Let m = -47224 - -47230. Let c = -9 + 5. What is the second biggest value in c, 0.1, -3/8, m?
0.1
Let n = -560.356 + -7.644. What is the smallest value in 1/10, n, 5, -0.4?
n
Let m = -1 - -0.7. Let p = 12784 + -63924/5. Which is the second smallest value? (a) m (b) p (c) 25 (d) 1/3
a
Let g = -0.539 + -0.146. Let o = 0.785 + g. What is the second smallest value in o, 0.2, 23?
0.2
Let k = -22923/5 + 4585. Which is the biggest value? (a) -0.03 (b) k (c) 25
c
Let y = -292 - -302. Suppose -10 + 10 = y*w. Let x = -1 + -4. Which is the biggest value? (a) w (b) 0.1 (c) 1 (d) x
c
Let d be 3627/(-62)*7/6. Let u = 69 + d. Which is the second biggest value? (a) -5 (b) 0.2 (c) u
b
Let o = -1.47087 + 0.17087. Which is the second biggest value? (a) -5 (b) 0.1 (c) -1/4 (d) 2/21 (e) o
d
Let w = 68 + -54. Let z = 2 - w. Let t be (z/15)/4*45/(-12). What is the second biggest value in 3, t, 0.3?
t
Let m = -4.81 + 0.81. Let k = -186 + 183.4. Let h = 0.4 - k. Which is the second smallest value? (a) m (b) h (c) 12
b
Let i(o) = -o - 10. Let v be i(-9). Let x = 3.21 + -1.21. Let j = -1.6 + 2. Which is the biggest value? (a) v (b) j (c) 1/7 (d) x
d
Let j = 13019 - 12920.435. Let k = -99 + j. Let g = -0.065 + k. Which is the second smallest value? (a) -4 (b) g (c) -3
c
Let s = 95 - 94.9
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*r - 74 = -0*d for d.
5
Solve 18*w - 1461*x = -1460*x + 74, -3*w + 3*x + 26 = 2*w for w.
4
Solve 3*h + 5*u = 29, 872514*u - 872515*u + 10 = 2*h for h.
3
Solve 4*i - 4*q - 1053 = -545 - 472, -2*q = -4*i + 28 for i.
5
Solve -8*q + 88 = -6*i, 2*q - 137023 = -5*i - 137105 for i.
-16
Solve -4*f = -2*z - 2, 26911*z + 4*f - 68 = 26891*z for z.
3
Solve 6*j + c = -9*j - 7*j + 20*j - 157, 21*j = 5*c - 1664 for j.
-79
Solve -4*p - 205 = 11*t, -p + 12*t + 677 - 448 = 0 for p.
1
Solve s + 132 = 2*l + 2*s - 134 + 99 + 18, 15 = 3*s for l.
72
Solve -5*w + 658*h - 1314*h = -661*h - 50, 4*w = -5*h - 5 for w.
5
Solve -3*h + 6*h + 20 = r, -4*h + 598 - 570 = -15*r for r.
-4
Solve -23 + 10 = k + h, 4*k + 104*h = -1744 + 392 for k.
0
Solve 2*j = -3*h - 20, 335*h + 5*j - 65 = 339*h for h.
-10
Solve w + b = 47, 6453*b - 6457*b + 32 = w for w.
52
Solve -2*r - 210*i + 211*i + 8 = 0, r = 18*i + 74 for r.
2
Solve -3*t = -4*g + 51, 0 = 2*g + 287*t - 144*t - 145*t - 32 for g.
3
Solve -30*w - 130 = 4*b, 2*b - 68*w = 4*w + 22 for b.
-25
Solve -31*v - 316 = -5*r, 26236*r - 2*v = 26242*r + 52 for r.
-5
Solve -o - 616782*f = -616778*f + 12, -o = -3*f - 5 - 4 for o.
0
Solve -45*z - 33*z + q - 4 = -79*z, 4*z + 14*q - 16 = 17*q for z.
4
Solve 30*x + 3*g + 105 = 0, -4*g = 96 + 4 for x.
-1
Solve -25*o - 34*o - 191 = -62*o - 5*h, -14*h = -6*h - 296 for o.
2
Solve 3*s - 29 = -3*y + 19, -4*s = 5*y - 76 for y.
12
Solve 5*u + 2*o - 7*o = 60, 0 = -2*u + 6*o + o - 3*o + 26 for u.
11
Solve -31*i + 5*t = 325, -1138*i + 1141*i = 4*t - 21 - 21 for i.
-10
Solve -6*o + 3*x - 64 = -11*o, 3*x + 20 = o for o.
14
Solve 4*b + 51 = -3*z, -2*z + 5 = 2*z - 3*b - 10 - 17 for z.
-1
Solve 4*p - 4 = 92517*x - 92510*x, -3*p - 4*x = -3 for p.
1
Solve 4*p + 1543 = 70*x + 1843, 0*p - p - 11 = 4*x for p.
5
Solve -1316*k = -1312*k + 4*o - 124, 0 = 3*k - 5*o - 69 for k.
28
Solve 30*c = -3*a + 693, 45152*a - 45147*a + 2*c - 51 = 0 for a.
1
Solve 5*o + 27 = -94*a + 92*a, 0 = 168*o - 5*a + 113 for o.
-1
Solve -239*z + 476*z - 241*z = -0*c + 19*c - 97, -3*z - 5*c = -8 for z.
-9
Solve x - 881 + 884 = 3*h + h, 0*x - 3*h - 53 = -5*x for x.
13
Solve 4*l + 480*g - 476*g - 16 = 3*l, g - 116 = -5*l - g for l.
24
Solve 5*f + 12*h + 9*h - 22*h - 25 = 0, -7*h = 3*f + 175 for f.
0
Solve 0 = -2*a + 2*r - 20, -268 = -5*a - 4*r - 228 for a.
0
Solve 5*y = -9*v - 382, y + 85 = -171*v + 169*v for v.
-43
Solve 5*q + 21 = 4*s - 21 + 7, -2*s + 2*q = -7*s - 47 for s.
-5
Solve 6*f + 23*m - 9*m = 9*m - 5 - 67, m = 31*f + 372 for f.
-12
Solve 4*k + 349*a + 336*a = 671*a - 50, -3*k + 4*a + 35 = 0 for k.
5
Solve -12*a + 9*a - 1 + 13 = -6*a, 13 = o + a for o.
17
Solve 17*y = 13*y - 4*f + 60, 2*f + 12 = -f for y.
19
Solve -6*f = -6*r - 3*f, -4*f = -13*r + 17*r - 24 for r.
2
Solve 1096*u - 1092*u - d = 218, -2*d = -15*u + 814 for u.
54
Solve 5*d - 4*d - 22*j - 10 = -3*d, 6 + 4 = -2*d - 2*d + 2*j for d.
-3
Solve -z + 14410 = 3*m + 14335, 240 = 9*m - 3*z + z for m.
26
Solve -l + w + 694 - 692 = 0, 23 = 4*l + w for l.
5
Solve 18*h = 5*n + 601, -h - 275*n + 37 = -276*n for h.
32
Solve -s + 2800 = -4*h + 2772, s + 2*h + 8 = 0 for s.
4
Solve -4*p + x - 19 = -8 + 48, 0 = 5*p + x - 32 for p.
-3
Solve 2*b + 5*l - 19 = -l - 1, -5*l = -5*b + 45 for b.
9
Solve -2*m + 46 = -5*c, -4*c + c - 10*m + m = 14*c + 188 for c.
-10
Solve 0 = 2*x + 15*x - 13*x - 5*q - 36, 0 = x + 7*q + 24 for x.
4
Solve 9*f - 332 = k - 358, 5*f + 107 = 6*k for k.
17
Solve 4*h + 106 = -5*y, 4*h - 4*y + 85557 - 85433 = 0 for h.
-29
Solve 5*u - 2*n + 139 = 6, 101*u + 238*u - 3*n = -n - 8483 for u.
-25
Solve -2*v - 2455206*o + 2455218*o = -982, 3*v = -2*v - o - 56 for v.
5
Solve 4*l = -2*k + 156, 5*l + 0*l - 794 + 526 = -39*k for l.
38
Solve 21958*l - 5*p = 21957*l + 189, p = -4*l - 42 for l.
-1
Solve 0 = 4*x + 2*v - 24, 1555*x - 2*v - 33 = 1553*x - 9 for x.
8
Solve -2*j - 14 = 4*i, 3*i = -2*j - 123 + 68 + 42 for i.
-1
Solve -12 = -19*f + 8*v - 6*v, 7*f - v + 9 = 5*f for f.
2
Solve 5*s = 40, -46*d - 40 - 7 = -41*d - 2*s - 2*s for d.
-3
Solve 15*h + 6 = -4*b + 17*h, -110*b + 108*b - 24 = 2*h for b.
-5
Solve 5 = -i - t, 24505*i - 24514*i = -2*t + 100 for i.
-10
Solve -119 + 364 = 5*j, 0 = -3*d + 4*j - 211 for d.
-5
Solve 42 = -3*o + 9, -4*q + 8*q + 0*q = 6*o + 62 for q.
-1
Solve -1322*k - 15 = -1327*k - 5*m, 67 = -8*k + 5*m for k.
-4
Solve -o - 4*o + 9*j + 22 = 0, -295*o - 3*j - 14 = -144*o - 146*o for o.
-1
Solve 4*z + 9*w - 98 = 5*z, 914*w + 43 - 14 = 40*z + 913*w for z.
1
Solve 7943*c = 7942*c + t + 20, t = -2*c + 43 for c.
21
Solve 148*m + 8*y + 38 = 68*m + 74*m, 8 = 2*m + 3*m + y for m.
3
Solve -12*t + 2*n = 41 + 25, -11*t - 346*n = -359*n + 27 for t.
-6
Solve 4*u - 2*u = 10, 0*g - 6*u - 13 + 49 = g - 4*g for g.
-2
Solve -3*p - 11*z + 91 = 0, -19*z + 0 = 8*p - 17*z - 24 for p.
1
Solve -1346 = 3*h - 8*v - 1219, 0 = -4*h + 4*v - 156 for h.
-37
Solve 0*n = -5213*t + 5212*t + 4*n, 6*n - 24 = 4*t - 4*t for t.
16
Solve 0 = -4*x + p + 135, 4*x - 152*p = 258 - 878 for x.
35
Solve 0 = 5*t + 266*u - 261*u + 20, 0 = -3*t + 3*u - 63 + 99 for t.
4
Solve -2*k + 24 = -c, 2*k + 16 = -1979*c + 1978*c for c.
-20
Solve -3*g - 6*g + 12*g - 105 + 311 = 5*g - 2*j, -7*j = 700 for g.
3
Solve 3*a - 7*a + 5*m - 9 = -37, 3*m + 7 = -2*a - 23 for a.
-3
Solve 4*t = 123*g + 385, 2*t - g + 245 - 256 = 0 for t.
4
Solve -26*w = -3*b - 286 + 318, 1 = 3*b + 5*w for b.
2
Solve -v + 58 = 4*w, 367274 = -2*w + 3*v + 367114 for w.
1
Solve 84 = -2*d + 14*i, 0 = 2*d - 4*d - 444*i + 448*i - 24 for d.
0
Solve -2*s - 17 = -h, -46 = -4*h + 47*s + 295 for h.
3
Solve -388 = 17*w - 3*y, 3*y - 61 - 58 = -181 + 59 for w.
-23
Solve 3*h + 24*l = -21*l + 49*l + 18, -5*h - l + 4 = l for h.
2
Solve 4*d - 56 = 3*d - d - 5*x + 59, -7*d = 3*x - 417 for d.
60
Solve -38 = i + 3*n, -29598876*i + 17 = -29598875*i - 2*n for i.
-5
Solve 4*f = 21*h - 356, -191240*h - f - 89 = -191236*h for h.
0
Solve 0 = r - 3*n + 8 - 20, 169*r + 3 = 172*r + 2*n for r.
3
Solve 11*b = -i + 115, b - 28415*i - 30 = -28419*i for b.
10
Solve -3*n + 2*r - 18 = -2*n - 5*n, -6*n + 71 = 4*n - 2*n + 11*r for n.
2
Solve -128*h + 125*h - 4*k + 0*k = -135, -3*h = 2*k - 15 - 120 for h.
45
Solve -2*q - 3*s + 7*s + 451 - 559 = 0, -6*s = 24 for q.
-62
Solve 248152*o - 4*y = 248155*o - 64, 23 = -o + y for o.
-4
Solve -55*c - 3*l = -53*c - 23, -34*c - 2*l + 440 = 0 for c.
13
Solve 0 = -2*g - 2*x - 34, 4*x - 81056 = 5*g - 80971 for g.
-17
Solve 4*w - 348*p + 16 = -344*p, 2*w - 6*p = -36 for w.
3
Solve 0 = -45480*d + 45484*d + n - 4, 0 = 4*d - 5*n - 76 for d.
4
Solve 799*m - 801*m + 66 = -72*c, 2*m - 8*c = 2 for m.
-3
Solve u - 1 = -2*y - 0*u + 3, -5*y - 10*u + 98 - 28 = 0 for y.
-2
Solve -4*v - 2*o - 30 = 0, v - 518885 + 518891 = -2*o for v.
-8
Solve -5*f - 24 = 4*o, -53239*o - 28 = -53231*o + 5*f for o.
-1
Solve 0*q - 12 = -3*q + 4*v + 1, 0*q = -0*q + 3*q + 83*v - 448 for q.
11
Solve 6253*t = 3133*t + 3116*t + g + 25, 2*g = -2*t + 30 for t.
8
Solve 5514 = 2*t + 2*g + 5524, 3*t - 18*g - 90 = 0 for t.
0
Solve 6*j - 7*j + 2787*x - 2791*x = -6 - 0, 4*j + 6 = -31*x for j.
14
Solve 29 + 26 = -11*w, 35*w - 38*w + 1 = -4*a for a.
-4
Solve 16 = -5*t + q, -5*q + 920 = -5*t + 840 for t.
0
Solve 5*p - 22*p - 2*l + l - 2 = 31, -66 = -2*l - 234 for p.
3
Solve -4*u + 319*j - 157*j - 9 = 167*j, 0 = 3*u + 3*j + 6 for u.
-1
Solve 8*z - 15*z + 3*z + 17*h + 213 = -130, 3*z = 2*h + 225 for z.
73
Solve -77*u - 9*x + 166 = 3*x - 9*x, 5*u = 4*u + 4*x - 14 for u.
2
Solve -5*g + 5*t + 91 = 2*g - 10*g + 17, -5*g - 2*t = 22 for g.
2
Solve 4*y + 70 = -7*s, -6*s - 40 = 7*y + 12*y - 17*y for y.
-14
Solve 133*j = 399, y + 2*y - 2*j - 86 + 12 - 58 = 0 for y.
46
Solve 0 = -2*k - 2*d + 56, -2127*k + 280 = -2118*k - 5*d for k.
30
Solve -144*s = 5*r - 1228 + 1050, 0*s = 3*r + 5*s + 56 for r.
-22
Solve 8*i = -5*o - 51 - 78, -1515*o - 18 = i - 1514*o for i.
-13
Solve -5*c = 5*d - 1 - 134, 0*c - 162 = 5*c - 6*d for c.
0
Solve -55*l + 68*l + 3*b - 53 = 0, -2*l + 26 = -4*b for l.
5
Solve -n - 1343*k + 133 = -6*n - 1340*k, 0 = -5*n + 2*k - 87 for n.
1
Solve 9120*i - 9120*i + 2*n = -4, 9*i + 3*i - 3*n = 59 - 5 for i.
4
Solve 0 = -2*i - 59*v - 218, 15476*v = i + 15473*v - 21 for i.
9
Solve 24*j - 18*k = 22*j + 78, 25 - 15 = -5*j - 4*k + 9 for j.
3
Solve 3*j = w + 17, 5*w + 5*j + 1367709 = 1367704 for w.
-5
Solve 2*s + 2*x - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
n -533131, -1066392, -1599653, -2132914?
-2666175
What is the next term in 303217, 303194, 303165, 303130, 303089, 303042, 302989?
302930
What comes next: -7492, -29686, -66608, -118270, -184684?
-265862
What is the next term in 3784, 3891, 4040, 4231?
4464
What is next in 1340, -3398, -11294, -22348?
-36560
What is the next term in -816316, -816315, -816314, -816313?
-816312
What is next in 76728, 153452, 230176?
306900
What comes next: -311789, -311853, -311919, -311987?
-312057
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-172048647
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41518
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2854
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5563
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55326
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1418838
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9320482
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4512869
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-8058160
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-887497
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1286863
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534134
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16889230
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72863
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75255705
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-857
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18081
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106194
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1946566
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675032
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25737
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1044
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-185593
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18391677
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-1942125
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4454589
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30963
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179883
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-72860
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-37271116
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-145940
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71404
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335193
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60997
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460927
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-303647290
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-107643775
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74111
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3992
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384806
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249328
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154357
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4869509
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159658170
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294939687
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-65640954
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|
{
"pile_set_name": "DM Mathematics"
}
|
alculate c*x(o) + k*g(o).
2*o**2 - 2*o
Let c(x) = -72*x**2 + 4*x - 5. Let u(f) = -2*f**2 + f - 1. Calculate -c(d) + 4*u(d).
64*d**2 + 1
Let t(f) = 16*f**2. Let v be 0 - 1/((-28)/(-16) - 2). Let c(r) = -r**2. What is v*t(q) + 72*c(q)?
-8*q**2
Let i(z) = z. Let x(h) = h**2 + h. Let j be ((-6)/((-48)/(-20)))/((-5)/2). Calculate j*i(u) - x(u).
-u**2
Let p(n) = -9*n + 5 + 8*n - 2*n. Let x(v) = 1. What is p(o) - 3*x(o)?
-3*o + 2
Let w(a) = -9086*a. Let z(o) = -233*o. What is 3*w(n) - 118*z(n)?
236*n
Let a be -1*(292/(-18) + 2/9). Let c(n) = -10*n**3 - 16*n**2 + 16. Let h(v) = 2*v**3 + 3*v**2 - 3. Determine a*h(f) + 3*c(f).
2*f**3
Let d(x) = -9*x. Let q(r) = -494*r. Determine -22*d(t) + 2*q(t).
-790*t
Let s(m) be the first derivative of -m**5/8 + 13*m**4/24 - 3*m**3 - 14. Let p(c) be the third derivative of s(c). Let t(a) = 8*a - 7. What is 6*p(j) + 11*t(j)?
-2*j + 1
Let k(n) = -52*n - 3. Let v(l) = -13*l - 1. Give 2*k(s) - 9*v(s).
13*s + 3
Let p(l) = -38*l**2 + 2*l - 3. Let k be p(1). Let d = -36 - k. Let a(w) = 3*w + 4. Let u(s) = -3*s - 3. What is d*a(g) + 4*u(g)?
-3*g
Let u be 2/(-9) - 340/90. Let s(c) = 10*c**3 - 7*c**2 + 7. Let h(w) be the first derivative of 3*w**4/4 - 2*w**3/3 + 2*w + 1. Calculate u*s(k) + 14*h(k).
2*k**3
Let t be (-1*1)/((-11)/33). Suppose 0*x = t*x - 9. Let u(p) = -x*p**2 - 5 - 12*p + 5*p + 2*p. Let s(l) = 3*l**2 + 4*l + 4. Calculate -5*s(h) - 4*u(h).
-3*h**2
Let k(p) = -18 + 6*p - 5*p**3 + p**2 + 3 + 8 + 6. Let q(j) = 9*j**3 - 2*j**2 - 11*j + 2. Give 11*k(g) + 6*q(g).
-g**3 - g**2 + 1
Let a(p) = -9*p**3 - 3*p**2 - 9*p + 5. Let f(y) = -13*y**3 - 4*y**2 - 13*y + 7. Suppose 0 = -3*j - 2*b + 27, -9 + 3 = -2*b. Give j*a(n) - 5*f(n).
2*n**3 - n**2 + 2*n
Let z(l) = -5*l**2 - 3*l - 3. Let b be 50/15 + (-8)/24. Let h(t) = -14*t**2 - 8*t - 8. What is b*h(n) - 8*z(n)?
-2*n**2
Let h(m) = -m - 2. Let i(b) = 2*b**3 + 11*b**2 - 9*b - 15. Let a be i(-6). Let y(o) = -o**3 - o - 2. Give a*y(z) - 4*h(z).
-3*z**3 + z + 2
Suppose 0 = -5*s + 3*m - 37 + 29, -4 = -s + 2*m. Let p(h) = -h. Let z(a) = 4*a - 1. Let j = 24 - 38. Calculate j*p(n) + s*z(n).
-2*n + 4
Let d(g) = 7*g + 7. Suppose -3*l - 16 = a, 5*l + 8 = -2*a - 20. Let r(p) = -6*p - 6. What is l*d(n) - 5*r(n)?
2*n + 2
Let l(n) = 9*n**3 + 32*n**2 + 11*n - 1. Let i(g) = -3*g**3 - 11*g**2 - 4*g. Calculate -8*i(s) - 3*l(s).
-3*s**3 - 8*s**2 - s + 3
Let o = -879 + 884. Let r(n) = -n**2 - n + 1. Let i(c) = 8*c**2 + 3*c - 5. What is o*r(p) + i(p)?
3*p**2 - 2*p
Let q be 13/(26/(-8)) + -2. Let h(r) = 3*r**2 - 6*r + 6. Let c(j) = 4*j**2 - 7*j + 7. What is q*c(u) + 7*h(u)?
-3*u**2
Let g(f) = -3*f + 4. Let u(l) = -l + 2. Let z(b) = b**2 - 51*b + 275. Let i be z(45). Let w(p) = p + 1. Let m be w(-3). Calculate i*u(r) + m*g(r).
r + 2
Let m(w) = 39 + 10*w - 81*w + 0*w - 137*w. Let i(s) = -11*s + 2. Calculate -39*i(l) + 2*m(l).
13*l
Let s(m) = m + 1. Let q(x) = 25*x**2 + 8*x + 8. What is 5*q(a) - 40*s(a)?
125*a**2
Let a = -47 + 51. Let g(o) = -29*o + a + 1 + 23*o - 4. Let b(c) be the first derivative of c**2/2 - 1. Determine 5*b(h) + g(h).
-h + 1
Let l(c) = -3*c**2 - 2*c - 2. Let s(v) = -56*v - 20*v + v**2 + 76*v + 1. Let m be 5 + ((-2)/2)/1. Give m*s(z) + 2*l(z).
-2*z**2 - 4*z
Let y(u) = -8*u + 9. Let z(h) = 14*h - 16. Calculate -5*y(o) - 3*z(o).
-2*o + 3
Let o(k) = -k**3 - k**2 + 7*k + 1. Let u be o(-3). Let h(c) = -4*c + 3. Let s(t) = 1. What is u*s(q) + h(q)?
-4*q + 1
Let y(t) = -361*t**2 + 3*t + 5. Let f(c) = -363*c**2 + 2*c + 3. Determine 3*f(z) - 2*y(z).
-367*z**2 - 1
Let h(f) = -23*f**2 + 6. Let g(z) = -68*z**2 + 17. Let a = 782 + -765. Calculate a*h(d) - 6*g(d).
17*d**2
Let u = -4 + -7. Let m(y) = 6*y**2 + 2*y + 11. Let w(z) = -2*z**3 - 4*z**2 - 3*z. Let s be w(-2). Let j(g) = 3*g**2 + g + 6. Give s*m(n) + u*j(n).
3*n**2 + n
Let s = 1876 - 1871. Let j(z) = 7*z**2 + 8*z + 5. Let m(r) = -6*r**2 - 7*r - 4. Calculate s*j(a) + 6*m(a).
-a**2 - 2*a + 1
Let d(r) = r + 31. Let y(l) = -2*l - 60. Calculate -10*d(g) - 4*y(g).
-2*g - 70
Let i(o) = o - 5. Let l(u) = 6*u - 7. Give 3*i(v) - l(v).
-3*v - 8
Let c(a) be the third derivative of a**5/60 + a**4/24 + a**3/6 - 2*a**2 + 32. Let j(d) = -2*d - d**2 + 1 - 2*d**3 + d**3 + 2*d**3. Determine -c(n) - j(n).
-n**3 + n - 2
Let f(x) = -x + 1. Suppose 0 = 5*s - 76 + 66. Let r(q) = -22*q + 18. Calculate s*r(m) - 36*f(m).
-8*m
Let g(r) = -549*r**3 + 13*r**2 - 14*r + 7. Let l(f) = -183*f**3 + 4*f**2 - 4*f + 2. Determine -2*g(v) + 7*l(v).
-183*v**3 + 2*v**2
Let i(p) = -p**2. Suppose -255 = -25*m - 80. Let h(c) = c**2. What is m*i(f) + 4*h(f)?
-3*f**2
Let g(m) = -m + 1. Let s be (-1)/2 - (-35)/14. Let t = -1 - -1. Let r(x) = t - s*x + x + 3*x - 1. Determine 4*g(p) + 3*r(p).
2*p + 1
Let q(w) = 1. Let j(o) be the third derivative of o**7/5040 - o**6/360 - o**5/30 + 9*o**2. Let c(m) be the third derivative of j(m). What is 2*c(r) + 5*q(r)?
2*r + 1
Let h(t) = -8*t - 9. Let g be -2 + (-4)/(20/(-25)). Let p(m) = -4*m - 4. What is g*h(j) - 7*p(j)?
4*j + 1
Let y(k) = -5*k. Let m = -69 - -18. Let r = -49 - m. Let h(q) = 6*q. What is r*h(x) + 3*y(x)?
-3*x
Let s(c) = 2*c**3 - 3*c**2 + 13*c. Let d be (2*2/8)/((-14)/56). Let z(u) = u**3 - 2*u**2 + 12*u. Give d*s(l) + 3*z(l).
-l**3 + 10*l
Let b(u) = -3*u. Let q(c) = 283*c**2 + 1698*c. Calculate -566*b(m) - q(m).
-283*m**2
Let f(d) = -68*d**3 + 15*d**2 + 5*d - 7. Let c(n) = 33*n**3 - 7*n**2 - 2*n + 3. What is -7*c(b) - 3*f(b)?
-27*b**3 + 4*b**2 - b
Let h(v) = -v**3 - 5*v**2 - 3*v - 4. Let j(d) = -5 - 3*d**2 - d - d**3 - 3*d**2 + 12*d - 15*d. Determine 5*h(a) - 4*j(a).
-a**3 - a**2 + a
Let c(n) = -6*n**3 + 2*n**2 + 1. Let p(b) = -b**3 + 4*b**2 + 6*b. Let s(j) = -j**2 - 2*j. Let o(x) = -p(x) - 3*s(x). What is c(w) + 2*o(w)?
-4*w**3 + 1
Let v(a) = -1. Let s(p) = -8*p + 3. Let b be (-357)/952 + ((-74)/16 - 0). Give b*v(k) - s(k).
8*k + 2
Let f(v) = -9*v**3 + 8*v - 8. Let p(u) = -u**3 + u - 1. Suppose 4*g = 118 - 98. Determine g*f(a) - 40*p(a).
-5*a**3
Let j = 60 - 57. Let g(y) = 6 + y**2 + 2 - j - 4. Let o(x) = -2*x**3 - 4*x**2 - x - 6. Calculate 6*g(d) + o(d).
-2*d**3 + 2*d**2 - d
Let d(y) = 2*y - 3. Let f be (0 - 8/(-4))/(-2). Let q(c) = -1. Determine f*d(r) - 2*q(r).
-2*r + 5
Let t(y) = 2*y**2 - 4*y + 4. Let n = 858 + -885. Let u(o) = 15*o**2 - 27*o + 27. What is n*t(k) + 4*u(k)?
6*k**2
Let j(t) = -t**2 - 4*t - 4. Let x(n) = 25*n**2 - n**2 + 11 - 15*n**2 - 6*n**2 + 11*n. What is 11*j(q) + 4*x(q)?
q**2
Let h(t) = 2*t**3 + t**2 - 3*t + 9. Let z(m) = 2*m**3 - 2*m + 8. Let w be (-96)/(-54) - (-2)/9. Determine w*h(u) - 3*z(u).
-2*u**3 + 2*u**2 - 6
Let d(h) = -5*h**3 - 15*h**2 - 7*h + 1. Let j(z) = z**3 - z**2 + 3*z - 1. Determine d(m) + 3*j(m).
-2*m**3 - 18*m**2 + 2*m - 2
Let k(w) = -2*w**3 + 33*w**2 + 19*w - 31. Let n be k(17). Let t(a) = a**3 + 2*a**2 + 3*a + 6. Let v(f) = f**2 + 2*f + 5. Determine n*v(h) - 2*t(h).
-2*h**3 - h**2 + 3
Let u(f) = -f. Let z = -5 + 17. Suppose 2*p - 4*t = -z, -p - 10 = 2*p - 4*t. Suppose -p*r - 4 - 2 = 0. Let a(h) = 2. What is r*u(l) - a(l)?
3*l - 2
Let a(q) = -3*q**3 + q**2 - 3*q - 3. Let u be (7/2 + -3)*-10. Let y(n) = 6*n**3 - 2*n**2 + 5*n + 5. Calculate u*a(j) - 3*y(j).
-3*j**3 + j**2
Let o = -5 + 4. Let u be o - (8 - 2)*-2. Let j(x) = x**2 + 12*x - u*x + 1 + 0*x**2. Let c(f) = -5*f**2 - 5*f - 6. Give -c(t) - 4*j(t).
t**2 + t + 2
Let j(f) = -4*f + 9. Let g(l) = l**2 - 9*l + 20. Determine -4*g(p) + 9*j(p).
-4*p**2 + 1
Let m(a) = 37*a - 14. Let s(u) = 111*u - 38. Calculate -11*m(o) + 4*s(o).
37*o + 2
Let g(a) = 1179*a**3 + 5*a**2 + 2*a + 5. Let y(r) = 590*r**3 + 2*r**2 + r + 2. Determine -2*g(q) + 5*y(q).
592*q**3 + q
Let l(n) = n**2 - 5*n - 17. Let c = -25 + 32. Let x be l(c). Let q(z) = 2*z**3 + 3*z**2 - 4. Let a(t) = -3*t**3 - 5*t**2 + 7. What is x*a(r) - 5*q(r)?
-r**3 - 1
Let u(x) = 4*x**3 - 3*x**2 - 2*x. Let a(b) = 4*b**3 - 4*b**2 - 2*b. What is 6*a(m) - 7*u(m)?
-4*m**3 - 3*m**2 + 2*m
Let z(u) = -11*u**2 + 13*u. Let x(n) = -5*n**2 + 6*n. Let y = 308 - 305. Calculate y*z(d) - 7*x(d).
2*d**2 - 3*d
Let r(t) = 37*t + 4. Let v(k) = 9*k + 1. Calculate 2*r(l) - 9*v(l).
-7*l - 1
Let k(r) = 59*r - 8. Let d(c) = -5*c. Determine 5*d(y) + k(y).
34*y - 8
Suppose 4*l + l = 25. Let g(c) = 2*c + 1. Let s(d) = -2*d - 1. Suppose 0*w = -w + 20. Suppose 8 = -2*v + w. Give l*s(a) + v*g(a).
2*a + 1
Let s(z) = -z. Let l(
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{
"pile_set_name": "DM Mathematics"
}
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**5/5 - 109*n**4/3 + 36*n**3 + 961*n. Let h(u) = 0. Calculate u.
0, 1, 54
Let s(w) be the first derivative of -4/9*w**6 - 68/3*w - 164/15*w**5 - 172/3*w**2 - 632/9*w**3 - 128/3*w**4 - 152. Find v such that s(v) = 0.
-17, -1, -1/2
Factor -4*n**2 + 19*n**2 + 427*n**3 + 21*n**2 + 4*n**4 - 47 - 471*n**3 + 44*n + 7.
4*(n - 10)*(n - 1)**2*(n + 1)
Let y(c) be the first derivative of -15/4*c**4 - 2*c**3 + 0*c - 12/5*c**5 - 1/2*c**6 + 0*c**2 + 11. Suppose y(x) = 0. What is x?
-2, -1, 0
Let x(t) be the first derivative of 0*t + 1/6*t**3 + 187 - 9/4*t**2. Factor x(u).
u*(u - 9)/2
Let v be ((-1272)/(-5))/((-90)/100). Let x = v - -283. Solve d + 2/3 + x*d**2 = 0 for d.
-2, -1
Let s be (8 + -965 + 4/2)*1. Let m = 6689/7 + s. Factor -4/7*q**4 + 0 + m*q**3 + 16/7*q**2 - 16/7*q.
-4*q*(q - 2)*(q - 1)*(q + 2)/7
Let t be (-1 + (-3 - -23))*(3 - 8). Let p = 146 + t. Factor -107*b + 51*b + p*b + 10 - 5*b**2.
-5*(b - 1)*(b + 2)
Let j(n) be the third derivative of -7*n**2 + 65/96*n**4 - 1/48*n**5 + 35/12*n**3 - 3*n + 0. Determine a, given that j(a) = 0.
-1, 14
Let w(o) be the third derivative of -1/240*o**6 + 2*o**2 + 5/48*o**4 + 0*o**3 - 1/30*o**5 + 0*o + 146. Factor w(z).
-z*(z - 1)*(z + 5)/2
Let f = -110 - -112. Solve 94*s**2 - 98*s**f + 8*s - 28*s + 24 = 0 for s.
-6, 1
Let w be ((-98)/735)/(372/(-45) + 8). Factor -6 - 13/2*l - w*l**2.
-(l + 1)*(l + 12)/2
Let f(n) be the second derivative of -n**5/10 + 11*n**4/2 + 70*n**3/3 + 12*n - 20. Factor f(x).
-2*x*(x - 35)*(x + 2)
Suppose 5*b + 600 = 5*t, 31*t = 33*t + 4*b - 210. Let l be 110 - t - 2*-4. Factor -3/8*a**l + 1/2 + 0*a - 7/8*a**2.
-(a + 1)*(a + 2)*(3*a - 2)/8
Let l(w) be the second derivative of 5*w**4/48 + 685*w**3/4 + 844605*w**2/8 - 339*w. Factor l(z).
5*(z + 411)**2/4
Suppose -2*y = 5*w - 21, -4*w = -y - 0*w - 9. Suppose -y*m = 4*l - 11, -3*m = m - 3*l - 23. Factor m + 0 - 5*v**3 - 15*v**2 + 15.
-5*(v - 1)*(v + 2)**2
Let m(c) be the third derivative of c**7/42 - c**6/8 - c**5/4 + 55*c**4/24 - 5*c**3 - 23*c**2 + 22. Factor m(s).
5*(s - 3)*(s - 1)**2*(s + 2)
Determine d, given that -26/3 + 25/3*d + 1/3*d**2 = 0.
-26, 1
Let z = 3057 + -9139/3. Let y(f) be the first derivative of 4*f**2 + 10 - 2*f**5 + 0*f + 17/2*f**4 - z*f**3. What is r in y(r) = 0?
0, 2/5, 1, 2
Suppose 0 = r - 20 + 14. Let h be ((-22)/r)/(9/(-27)). Find x, given that 7*x + 4*x**2 + 16 - h*x - 12*x + 0*x = 0.
2
Let t(q) be the second derivative of -q**4/8 - 7*q**3/4 + 276*q**2 + 4*q + 306. Factor t(w).
-3*(w - 16)*(w + 23)/2
Determine m so that 1184/9*m**3 + 1024/9*m + 214/9*m**4 - 2560/9 + 14/9*m**5 + 2624/9*m**2 = 0.
-4, 5/7
Let d be (15/50)/(9273/28100). Factor 32/11 + 32/11*x + d*x**2 + 1/11*x**3.
(x + 2)*(x + 4)**2/11
Let c(r) be the first derivative of r**3/12 + 9*r**2/2 - 117*r/4 + 890. Let c(q) = 0. What is q?
-39, 3
Let v(m) = -8*m - 133. Let x be v(-15). Let d be 2/5 + 0/x. Factor d*n - 1/5*n**2 - 1/5.
-(n - 1)**2/5
Let u(q) be the second derivative of -5/3*q**3 - 63*q - 1/12*q**4 + 0*q**2 + 0. Factor u(b).
-b*(b + 10)
Let k(g) = -44*g**2 + 45*g - 71. Let j(p) = -23*p**2 + 19*p - 36. Let d(l) = -11*j(l) + 6*k(l). Factor d(r).
-(r - 5)*(11*r - 6)
Let r = -76733 + 76735. What is o in -1/3*o**4 - o**r - 1/3*o + 0 - o**3 = 0?
-1, 0
Let c(k) = 32*k + 14. Let n be c(2). Let a = 83 - n. Factor 0 + 5/3*u**2 - 1/3*u**a + 2/3*u - 1/3*u**4 + u**3.
-u*(u - 2)*(u + 1)**3/3
Let y(v) = -3*v - 16. Let h be y(-6). Suppose h*m - 2 = -0*c + c, c + 4*m = 10. Factor 16 + 4*g**4 + 52*g**c - g**3 + 26*g + 22*g + 33*g**3 - 8*g**3.
4*(g + 1)**2*(g + 2)**2
Let p(m) be the first derivative of 0*m**5 + 0*m**3 + 0*m - 1 - 1/2*m**2 + 0*m**4 + 1/280*m**6. Let w(k) be the second derivative of p(k). Factor w(f).
3*f**3/7
Let s(w) be the first derivative of w**3/18 + 41*w**2/12 + 44*w + 4628. Factor s(f).
(f + 8)*(f + 33)/6
Suppose 541*g = 39 + 2125. Factor -5/2*o**3 + 5/2*o + 5/6*o**2 - 5/6*o**g + 0.
-5*o*(o - 1)*(o + 1)*(o + 3)/6
Let j be -2 + 3/6 + (-1089)/(-6). Factor -539 - 21*f**2 - j*f - 19*f**2 + 35*f**2 - 1081.
-5*(f + 18)**2
Let n(d) be the first derivative of 8/27*d**3 + 1/54*d**4 + 7/9*d**2 - 21*d - 21. Let p(w) be the first derivative of n(w). Determine f, given that p(f) = 0.
-7, -1
Factor -s**4 + 39*s**3 + 1334*s**2 + 2*s**4 - 68*s**3 + 8575 - 10290*s + 458*s**2 - 49*s**3.
(s - 35)**2*(s - 7)*(s - 1)
Let s(y) = 30*y**2 - 855*y - 831. Let u(r) = -23*r**2 + 642*r + 623. Let n(t) = 7*s(t) + 9*u(t). Suppose n(x) = 0. What is x?
-1, 70
Let l(h) be the third derivative of -h**6/180 - 47*h**5/90 - 511*h**4/36 - 539*h**3/3 - 56*h**2 - 29*h. Factor l(c).
-2*(c + 7)**2*(c + 33)/3
Factor -34/7*h**3 + 40/7 - 118/7*h + 114/7*h**2 - 2/7*h**4.
-2*(h - 1)**3*(h + 20)/7
Let q(k) be the second derivative of 11*k**4/18 + 41*k**3/3 + 22*k**2/3 + 1293*k. Factor q(o).
2*(o + 11)*(11*o + 2)/3
Let t(i) be the third derivative of i**6/40 - 41*i**5/20 - 177*i**4/8 - 135*i**3/2 - i**2. Factor t(s).
3*(s - 45)*(s + 1)*(s + 3)
Let y(g) be the first derivative of -g**6/1080 + g**5/90 - g**4/24 - 194*g**3/3 - 186. Let l(i) be the third derivative of y(i). Solve l(m) = 0 for m.
1, 3
Let o(b) = 12*b**2 + 2296*b + 108132. Let c(k) = -4*k**2 - 766*k - 36037. Let w(m) = -8*c(m) - 3*o(m). Factor w(i).
-4*(i + 95)**2
Let h(p) be the third derivative of -p**6/40 - 41*p**5/10 - 239*p**4/8 - 79*p**3 + 8*p**2 + 294. Factor h(o).
-3*(o + 1)*(o + 2)*(o + 79)
Let d = -403 - -407. Factor -5*q**2 - 25 + 5*q**3 - 4*q**d + 25 - 5*q**5 + 9*q**4.
-5*q**2*(q - 1)**2*(q + 1)
Let k be 0 - ((-74)/19 - 10/95). Factor 11*z**2 + 16 - k + 8*z + 2*z**2 - 17*z**2.
-4*(z - 3)*(z + 1)
Let z = 158398/17265 - -88/3453. Factor -46/5*b**2 - 1/5*b**3 + 1/5*b + z.
-(b - 1)*(b + 1)*(b + 46)/5
Let k(t) be the first derivative of 3/10*t**3 - 52 + 1/5*t - 1/8*t**4 - 7/20*t**2 + 1/50*t**5. Factor k(s).
(s - 2)*(s - 1)**3/10
Let m be (((-9)/3)/(-1))/((-1)/7). Let f = m + 24. Let 9*c + 7*c**3 - 8*c**3 - 2*c**3 - 3*c**2 - f*c = 0. Calculate c.
-2, 0, 1
Let f(q) be the second derivative of -q**7/14 + q**6/5 - q**4/2 + q**3/2 - 3*q + 113. Let f(r) = 0. Calculate r.
-1, 0, 1
Let u(a) be the third derivative of 1/735*a**7 + 0 - 5*a**2 + 0*a**6 - 1/70*a**5 - 1/42*a**4 + 0*a**3 + 7*a. Factor u(g).
2*g*(g - 2)*(g + 1)**2/7
Let g(a) = 23*a - 181. Let l be g(8). Let s be -5 - (l + -2 + -9). Factor 0*k + 4/9*k**2 + 0 + 2/9*k**s - 2/9*k**4.
-2*k**2*(k - 2)*(k + 1)/9
Suppose 0 = 9*g - 8*g + 2*n, 0 = 2*g - 2*n + 5*n. Suppose -22*v + 26*v - 8 = 0. Solve 7/2*u**5 + 6*u**4 - u**v + g + 3/2*u**3 + 0*u = 0.
-1, 0, 2/7
Let k = -807 + 832. Let d be (-30)/k*(-3)/6*5. Suppose -4/3*l**4 - 22*l + 20/3*l**d + 16/3*l**2 + 12 - 2/3*l**5 = 0. What is l?
-3, 1, 2
Suppose 5*i - 3*g = 4 - 10, -9*i = 2*g - 4. Suppose 2/3*q**2 - 5/6*q**3 + 0 + i*q + 1/6*q**4 = 0. Calculate q.
0, 1, 4
Let y(l) be the second derivative of -5*l**7/42 + l**6 + 14*l**5 + 5*l**4/2 - 995*l**3/6 + 330*l**2 + 1274*l. Solve y(f) = 0 for f.
-4, -3, 1, 11
Let j(r) be the first derivative of -166/3*r**3 + 1/2*r**4 - 3362*r + 1763*r**2 - 185. What is c in j(c) = 0?
1, 41
Let h(d) = 3*d**2 - 78*d + 423. Let m(l) = -l - 1. Let f(u) = h(u) + 3*m(u). Find x, given that f(x) = 0.
7, 20
Let c = 1157 - 8097/7. Suppose -3*l = -3*z + 12, -8 = -8*z + 5*z + l. Factor -2/7 - c*o**z + 4/7*o.
-2*(o - 1)**2/7
Let a(x) be the third derivative of -13*x**5/150 + 5*x**4/3 + 32*x**3/15 + 1423*x**2. Factor a(v).
-2*(v - 8)*(13*v + 4)/5
Let q(f) = -332*f + 38182. Let s be q(115). Factor 6 + 1/4*h**s + 25/4*h.
(h + 1)*(h + 24)/4
Let f = 40 - 37. Suppose 0*k = f*k - 6. Factor -7 - 5 - 100*z - 124*z**k - 64*z**3 - 51*z**2 - 49*z**2.
-4*(z + 3)*(4*z + 1)**2
Let m(r) be the first derivative of -5*r**4/28 + 9*r**3/14 + 103*r + 35. Let v(h) be the first derivative of m(h). Find p, given that v(p) = 0.
0, 9/5
Suppose -759*s = -357*s - 374*s - 168. Let 0 - 3*n + s*n**4 + 17/4*n**3 - 9/4*n**5 - 5*n**2 = 0. Calculate n.
-2/3, 0, 1, 3
Let r = -7/181936 - -3274883/909680. Find u, given that -352/5 - 150*u**3 + r*u**4 - 280*u - 1816/5*u**2 = 0.
-1, -2/3, 44
Let n be 3 + (3/(-6))/(5/10). Factor -2*b**n - 12*b + 10*b**4 - 278*b**3 + 290*b**3 - 2*b**2 - 6*b**4.
4*b*(b - 1)*(b + 1)*(b + 3)
Let d(g) be the first derivative of g**6/2 - 41*g**5/5 - 107*g**4/4 - 79*g**3/3 - 8*g**2 + 4514. Solve d(p) = 0 for p.
-1, -1/3, 0, 16
Le
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{
"pile_set_name": "DM Mathematics"
}
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z
Let v = -1451/5 + 291. Let f(j) = -4*j - 2. Let c be f(-4). Suppose 0 = 3*n + d - 4, 3*n = -4*d + 8*d + c. Put n, 2/3, v in descending order.
n, v, 2/3
Let x = -0.1467 - -0.1497. Put x, 0.4, 1 in increasing order.
x, 0.4, 1
Let m = 94747 - 94737. Let k = 0.6 - 1. Let t = 0.3 + -2.3. Sort m, t, k in descending order.
m, k, t
Let v = 72.3 - 68.3. Let b = 2 + -3. Sort v, 5, b, 1/7.
b, 1/7, v, 5
Let g be 0 + 1 + (-14)/18. Let y = 6.064 + -4.664. Sort 2, y, g.
g, y, 2
Let i be 5 + 1 - (8 - 5). Put 0, i, 6, -2 in increasing order.
-2, 0, i, 6
Let j = -11 - -8. Let f(t) = t**2 - 9*t + 8. Let o be f(8). Let z = 0.21 - -0.09. Put o, j, z in descending order.
z, o, j
Let v be 0/(7 - 2)*-1*1. Let b = 4 + -2. Suppose v = -q - b*q. Sort 5, -5, q.
-5, q, 5
Suppose -6*s - 9*s + 30 = 0. Let g be (-3*(-3)/(-9))/(s/(-8)). Let o be (-1 - 5/(-2))*-2. Sort o, g, 5.
o, g, 5
Let r = 661 - 661.1. Put 0.02, r, 0.2 in descending order.
0.2, 0.02, r
Let v be (-1 + 2)*(2 - 29). Let l(i) = 3*i**3 + 29*i**2 - 7*i + 5. Let o be l(-10). Let h = o - v. Put h, -1, -5 in ascending order.
-5, -1, h
Suppose 7*h = -7*h - 56. Put 3, 5, h, 19 in descending order.
19, 5, 3, h
Suppose 0*d - 15 = d - 5*m, -4*m = -4*d - 12. Let n be -4*3/21 - 21/49. Sort -10, n, d in decreasing order.
d, n, -10
Let z = 24 - 12. Let c be 137*((-10)/z - -1). Let a = -23 + c. Sort a, 4, -4.
-4, a, 4
Let c(r) = 2*r**3 + r + 2. Let u be c(2). Suppose n - 15 = -3*v, -4*n = v + v - u. Sort n, 10, -1.
-1, n, 10
Let i(s) = -s**3 - 3*s**2 + s - 8. Let a be i(-4). Sort 20, a, 3.
3, a, 20
Suppose -15*x = 899 + 241. Let p = x - -74. Let d = -1 + 1. Sort p, 3, d in ascending order.
p, d, 3
Let o(w) = -w + 5. Let p = -8 - -8. Let v be o(p). Suppose -2*s = -5*d - 4, 0 = -v*d + 3*s - 1 - 5. Sort 5, 1, d in ascending order.
d, 1, 5
Let u = -90.3 - 20.4. Let v = -111 - u. Sort v, -2/13, 1/4, -3 in increasing order.
-3, v, -2/13, 1/4
Let y = -214 + 213.5. Sort 2/3, 8, y, -2/11.
y, -2/11, 2/3, 8
Let f = 1.6 + -36.6. Let c = f + 35.04. Let j = -0.36 - c. Sort j, -1, -0.04.
-1, j, -0.04
Let j = -39.4 + 37. Let d = -2.9 - j. Put d, -8, -3 in increasing order.
-8, -3, d
Suppose 0 = -2*f + 2*u + 16, -76*u + 73*u - 30 = -4*f. Suppose 0 = -3*t - 6. Sort f, -1, t.
t, -1, f
Let n be 6*38/57*(-5)/(-4). Sort -4, -1, n, -2.
-4, -2, -1, n
Suppose 0 = -l + 2*c + 1 + 3, 2*l = -c + 3. Let t(h) = -2*h - 6. Let s be t(-4). Suppose -l*r = w + 3 - s, w - 2*r = -1. Sort w, 4, -4 in decreasing order.
4, w, -4
Let z(m) = -2*m - 15. Let b be z(-10). Suppose -2*n - 10 = 4*q - b*n, -3*n + 2 = 4*q. Sort q, -3, -4 in increasing order.
-4, -3, q
Let z(v) = v**3 - 4*v**2 - 4*v + 1. Let q be z(5). Let d be 9/(3/6*-9). Put d, 3, q, 5 in increasing order.
d, 3, 5, q
Let v = -1.76 - 20.24. Let d(p) = -2*p + 5. Let m be d(5). Put v, -2, m in decreasing order.
-2, m, v
Let y = 2.4 + -11.4. Let p = y + 12. Put 17, -3/7, p in descending order.
17, p, -3/7
Let q(v) = 17*v - 190. Let p be q(11). Let b be (4/6)/((-24)/36). Put b, -25, p in decreasing order.
b, p, -25
Let o be 6/3 - (-13 + 13). Sort -8, -4, o.
-8, -4, o
Let v = 3 + 2. Let f = -14786 + 59141/4. Sort f, v, -3, 1 in ascending order.
-3, f, 1, v
Suppose 32 - 71 + 16 = -23*m. Let o = -1 - -1. Let t = o - 1. Sort m, 3, t in descending order.
3, m, t
Let y = -0.17 + 0.07. Let m = -0.01 + 4.01. Let j = -6 + m. Sort y, j, 0.07 in descending order.
0.07, y, j
Suppose u + 4*i - 544 = 0, -u + 2*i = 28 - 572. Put 4, -2, u, 0 in increasing order.
-2, 0, 4, u
Let z(v) = v**3 + 5*v**2 + v. Let s be z(-5). Let m = -126 - -128. Put -13, s, m in decreasing order.
m, s, -13
Let o(t) = -23*t**3 - t**2 - t - 1. Let a be o(-1). Let s be 20/7 - 5/(-105)*3. Put a, s, -3 in ascending order.
-3, s, a
Let m = -696 + 41761/60. Let q = m + 11/60. Sort 1/4, q, -1, 6 in ascending order.
-1, q, 1/4, 6
Suppose 5*u - 6 = 4*x, -42 + 51 = 3*u + 3*x. Sort -46, -4, u in decreasing order.
u, -4, -46
Suppose 5*h - 35 = -0*h. Let o(y) = -727 + 365 + 426 + y + y. Let r be o(-30). Sort 0, h, r in decreasing order.
h, r, 0
Suppose -18 = 7*x - 9*x - 4*h, -h = -2. Sort 22, -1, x.
-1, x, 22
Let c(m) be the first derivative of m**4/4 + 5*m**3 + 27*m**2/2 + 8*m - 50. Let l be c(-13). Put l, -2, 5, 1 in ascending order.
l, -2, 1, 5
Let a = 622 - 620. Sort -29, -5, a in decreasing order.
a, -5, -29
Let w = -32365 - -2912431/90. Let i = w + 41/9. Let j = 3 - 1. Sort i, j, -0.2.
-0.2, i, j
Let g be ((-32)/(-510))/(-4) - (-44)/330. Put -4/3, 13, g in descending order.
13, g, -4/3
Let p = -15 - -12. Put 4, -85, p in increasing order.
-85, p, 4
Let u = 208 - 211. Let v be (2 + 38/(-10))*-5. Suppose r = -2*r + v. Sort -5, r, u in ascending order.
-5, u, r
Let a = 80 + -106. Let w = a - -39. Put -4, -3, 3, w in descending order.
w, 3, -3, -4
Let t = -39 - -17. Let x = -18 - t. Put x, 2, 16 in decreasing order.
16, x, 2
Let v = 757 + -758. Put v, -6, -2, 5 in increasing order.
-6, -2, v, 5
Let w = 66 - 66. Sort 3/7, w, -3, -3/5 in ascending order.
-3, -3/5, w, 3/7
Let u(r) = r**3 - 3*r**2 - 4*r + 5. Let s be u(4). Suppose -3*q + 3*l = -9 + 3, -4*l + 4 = -q. Suppose 0 - 4 = -q*k. Sort s, -5, k in increasing order.
-5, k, s
Let t = -4.62 - -1.62. Sort t, -0.1, -3.1, 2/3 in descending order.
2/3, -0.1, t, -3.1
Let r = 3/698 - -1381/3490. Sort -2/7, r, -1/3, -29 in descending order.
r, -2/7, -1/3, -29
Let v = 12 - 13. Let n be (-4)/4*5*v. Suppose -4*q = -q + 3*c + 9, -2*q = n*c + 21. Sort 0.3, q, 2/7 in ascending order.
2/7, 0.3, q
Suppose -83 + 71 = 6*x. Let f be (1 + 1 - -3)*1. Sort 0, x, f.
x, 0, f
Suppose -n = -0*n - 5*w + 358158, 0 = -2*n + 2*w - 716316. Let t = n - -109238332/305. Let v = t - 4/61. Put 1, v, 1/2 in increasing order.
v, 1/2, 1
Let u(m) = 2*m**2 - 4*m. Let f be u(3). Suppose l + f = 5*q, l - 12 = -2*l. Suppose 2*p + 2*g = 16, 8 = p + q*g - 3. Put -5, 2, p in ascending order.
-5, 2, p
Let r(m) = m - 7. Let o be r(7). Let a be -4 + (0/(-2) - o). Let d(q) = -3*q + 3. Let t be d(2). Put a, 0, t in descending order.
0, t, a
Let a = -398 + 398.1. Sort -17/5, 3, a in decreasing order.
3, a, -17/5
Let b(c) = -8*c**2 - 5*c - 4. Let h be b(-1). Put -2, h, 2, 3 in descending order.
3, 2, -2, h
Let w be 7185/9 - (-1 + 12/9). Let x be (42/w)/(0 - 2/(-4)). Sort 3, -3, x in ascending order.
-3, x, 3
Let r = 19.6 + -20. Let y = 4.4 + r. Put 1, -4, y in decreasing order.
y, 1, -4
Let m = 12 + 24. Suppose -m = -8*k + 5*k. Suppose z - 5*z = 2*w + 22, 2*z + k = -2*w. Put -5, 0, w in decreasing order.
0, w, -5
Suppose 2*z = -4, n + z - 4*z - 8 = 0. Let f = -0.43 - 0.07. Put 0.4, f, -5, n in decreasing order.
n, 0.4, f, -5
Let s(a) = a**2 + 12*a - 364. Let b be s(-26). Let c = -9 - -6. Sort 1, b, 2, c.
c, b, 1, 2
Suppose -5*i = -2*h + 408, -2*i + 3*h + 167 = -4*i. Let x = i + 86. Let c = 0.2 + 0.8. Put x, c, -0.2 in descending order.
x, c, -0.2
Let k = -0.09 - 35.01. Let l = -35 - k. Sort -0.5, l, 0.5, 5 in decreasing order.
5, 0.5, l, -0.5
Let u be (7 - 2) + (-1 - 4)*2. Sort 0, 3, -434, u.
-434, u, 0, 3
Let p = 3.7 + -0.7. Suppose -4*x = x - 25, 0 = 3*g + x - 8. Put -3, p, g in descending order.
p, g, -3
Suppose -4*p - 2*t + 4*t = -294, t = -3. Suppose -p = -25*y + 17*y. Put y, -2, 5 in descending order.
y, 5, -2
Let b = 1.7 + -2. Let c = b + 3.3. Suppose 0 = -3*m - 2*m - 10. Put m, c, 6 in decreasing order.
6, c, m
Let z = 0.04 + -4.04. Let x = 9.3 + -53.3. Sort z, -0.5, x.
x, z, -0.5
Let o = 218 - 217. Sort 0.1, 6, o, -5.
-5, 0.1, o, 6
Let p = -0.09 + 6.09. Sort p, 2/7, 0.02 in decreasing order.
p, 2/7, 0.02
Suppose -5*v + 2*a = -0*v - 32, 2*v = -a + 11. Sort 2/11, -3, v, 1/4 in ascending order.
-3, 2/11, 1/4, v
Let i = 64.7 - 58. Let v = -19.7 + i. Put -0.1, 0.4, v in ascending order.
v, -0.1, 0.4
Let l(q) = 14*q + 336. Let c be l(-24). Suppose 4*n + 8 = 0, 4*x - 16 - 4 = 2*n. Sort -27, c, x, -1 in descending order.
x, c, -1, -27
Let h = -9.5 - -9.41. Let l = -0.258 - -1.548. Let q = h + l. Sort 4, -0.5, q in increasing order.
-0.5, q, 4
Let x = -567 - -573. Let d = -2 - -2. Put 3, d, -1, x in descending order.
x, 3, d, -1
Let k = -37 + 110/3. Let y = 0.078 - 152.078. Let d = y + 151.1. Sort d, 4, k in ascending order.
d, k, 4
Let f be 5/3*342/(-190). Sort f, -420, -1, -5.
-420, -5, f, -1
Let g(r) = 2*r + 9. Let v be g(-7). Let u = 412 - 406. Put u, v
|
{
"pile_set_name": "DM Mathematics"
}
|
culate the least common multiple of 1250 and 2000.
10000
Find the common denominator of -53/1656 and 39/1472.
13248
Calculate the least common multiple of 81 and 1.
81
What is the smallest common multiple of 1141 and 6?
6846
What is the common denominator of -107/36 and -76/27?
108
What is the common denominator of -47/222 and 137/12?
444
Calculate the least common multiple of 18 and 12.
36
Find the common denominator of -15/2 and -17/471.
942
Calculate the common denominator of -7/288 and 139/12.
288
Find the common denominator of -68/1575 and -167/150.
3150
Calculate the common denominator of 121/1152 and -91/1152.
1152
Calculate the smallest common multiple of 96 and 72.
288
What is the lowest common multiple of 756 and 1092?
9828
What is the least common multiple of 804 and 36?
2412
Calculate the common denominator of 37/560 and -50.
560
Find the common denominator of -29/8 and 3/112.
112
What is the common denominator of -193/780 and -107/120?
1560
What is the common denominator of -17/8 and -53/440?
440
Calculate the common denominator of -31/460 and -22/215.
19780
Find the common denominator of -103/30 and 53/55.
330
Calculate the common denominator of 29/8 and 56/45.
360
What is the least common multiple of 174 and 14?
1218
What is the common denominator of 43/1680 and 97/28?
1680
Find the common denominator of 57/260 and -92/105.
5460
What is the common denominator of -39/23 and 27/92?
92
Calculate the smallest common multiple of 244 and 14091.
56364
What is the common denominator of 19/10 and 123/100?
100
What is the lowest common multiple of 30 and 11610?
11610
Find the common denominator of 35/207 and -75/46.
414
What is the common denominator of 1/1080 and -63/88?
11880
Calculate the smallest common multiple of 2192 and 1370.
10960
What is the smallest common multiple of 1075 and 45?
9675
Calculate the smallest common multiple of 672 and 336.
672
Calculate the least common multiple of 216 and 81.
648
What is the lowest common multiple of 6 and 35?
210
What is the common denominator of 33/650 and -17/585?
5850
Calculate the smallest common multiple of 36 and 12.
36
What is the common denominator of -29/65 and -85/9568?
47840
What is the common denominator of -48/2485 and -26/55?
27335
Calculate the smallest common multiple of 6 and 2002.
6006
What is the common denominator of 11/53 and -56/3?
159
What is the least common multiple of 962 and 260?
9620
Find the common denominator of -93/560 and 19/880.
6160
Find the common denominator of -109/710 and 37/1136.
5680
Calculate the least common multiple of 16 and 4.
16
What is the common denominator of -41/30 and -52/235?
1410
Find the common denominator of 31/49 and 59/609.
4263
Calculate the smallest common multiple of 18 and 4.
36
Calculate the lowest common multiple of 48 and 1029.
16464
Calculate the smallest common multiple of 27 and 171.
513
What is the smallest common multiple of 504 and 180?
2520
Calculate the lowest common multiple of 130 and 25.
650
Calculate the lowest common multiple of 80 and 1120.
1120
Calculate the least common multiple of 10282 and 12.
61692
What is the least common multiple of 15 and 215?
645
Calculate the common denominator of -14/11 and 49/33.
33
What is the common denominator of 21/32 and -133/60?
480
Calculate the least common multiple of 30 and 100.
300
What is the least common multiple of 3 and 26?
78
Calculate the lowest common multiple of 1230 and 22.
13530
What is the lowest common multiple of 4 and 158?
316
Calculate the smallest common multiple of 3471 and 234.
20826
Find the common denominator of 23/114 and -51/38.
114
Find the common denominator of -91/15 and -61/39.
195
Calculate the lowest common multiple of 8 and 2.
8
Find the common denominator of -23/36 and 43/36.
36
Calculate the least common multiple of 16 and 236.
944
Calculate the common denominator of -18/11 and 71/12.
132
What is the common denominator of 49/4176 and -51/29?
4176
Find the common denominator of -87/470 and -41/94.
470
What is the lowest common multiple of 49 and 70?
490
Calculate the common denominator of -65/1576 and -109/10.
7880
What is the lowest common multiple of 1195 and 2629?
13145
Calculate the common denominator of -89/20 and 87/17774.
177740
Calculate the common denominator of -41/16 and -109/15704.
31408
Find the common denominator of -40/3 and 7/82.
246
Calculate the least common multiple of 644 and 736.
5152
What is the common denominator of -71/24 and 187/60?
120
What is the least common multiple of 6752 and 3376?
6752
Find the common denominator of -41/152 and 85/984.
18696
Calculate the smallest common multiple of 44 and 60.
660
Calculate the least common multiple of 2025 and 2025.
2025
Calculate the least common multiple of 84 and 644.
1932
Find the common denominator of 5/297 and -91/198.
594
Find the common denominator of -69/40 and -49/88.
440
Calculate the least common multiple of 77 and 594.
4158
What is the smallest common multiple of 20 and 480?
480
Find the common denominator of 11/9 and 21/202.
1818
Find the common denominator of 17/366 and -62/15.
1830
Calculate the smallest common multiple of 108 and 225.
2700
What is the lowest common multiple of 14 and 581?
1162
Find the common denominator of 79/1704 and 11/1704.
1704
Calculate the common denominator of -163/1056 and -51/4.
1056
Find the common denominator of -73/225 and -41/50.
450
Calculate the least common multiple of 9 and 63.
63
Calculate the lowest common multiple of 378 and 42.
378
What is the common denominator of 25/612 and 71/1530?
3060
Calculate the lowest common multiple of 12 and 1470.
2940
What is the lowest common multiple of 18 and 8?
72
Calculate the smallest common multiple of 273 and 70.
2730
Find the common denominator of -93/20872 and 33/40.
104360
What is the common denominator of -43/24 and -11/100?
600
What is the common denominator of 5/4869 and -48/3787?
34083
What is the common denominator of -79/4 and 31/7740?
7740
Find the common denominator of 121/450 and 71/12.
900
What is the lowest common multiple of 16 and 724?
2896
What is the smallest common multiple of 42 and 189?
378
Calculate the lowest common multiple of 763 and 609.
66381
Calculate the common denominator of 89/736 and 93/44.
8096
What is the common denominator of 163/1176 and 97/784?
2352
Calculate the least common multiple of 198 and 154.
1386
Calculate the least common multiple of 132 and 20.
660
Calculate the common denominator of 97/32 and -111/56.
224
Calculate the least common multiple of 26 and 7.
182
What is the common denominator of -65/24 and 65/1484?
8904
Find the common denominator of 107/414 and 13/27.
1242
Find the common denominator of -24/421 and 27/23.
9683
What is the least common multiple of 16 and 78?
624
What is the smallest common multiple of 2 and 470?
470
What is the lowest common multiple of 1260 and 504?
2520
Calculate the least common multiple of 10 and 16.
80
What is the smallest common multiple of 3360 and 60?
3360
Find the common denominator of 3/128 and -41/764.
24448
Find the common denominator of -1/99 and 25/121.
1089
What is the least common multiple of 14 and 80?
560
Calculate the common denominator of 39/2800 and -9/2000.
14000
What is the common denominator of 7/16 and -3/484?
1936
Calculate the least common multiple of 48 and 42.
336
Find the common denominator of 9/934 and 81/8.
3736
Calculate the lowest common multiple of 105 and 30.
210
Calculate the smallest common multiple of 477 and 371.
3339
What is the smallest common multiple of 1573 and 5929?
77077
What is the smallest common multiple of 8 and 17416?
17416
Calculate the least common multiple of 12 and 2.
12
What is the common denominator of -85/24 and -109/6?
24
Calculate the common denominator of -95/16 and 105/962.
7696
Calculate the smallest common multiple of 3 and 5.
15
What is the common denominator of -5/792 and -71/32?
3168
What is the common denominator of 13/209 and 9/28?
5852
What is the common denominator of -101/4 and 7/48?
48
Calculate the common denominator of -13/227 and 79/4.
908
Find the common denominator of -21/1406 and 23/518.
9842
Calculate the common denominator of -43/550 and 53/20.
1100
Calculate the lowest common multiple of 469 and 12.
5628
Calculate the lowest co
|
{
"pile_set_name": "DM Mathematics"
}
|
between 5:03 AM and 2:46 PM?
583
How many minutes are there between 5:06 AM and 3:24 PM?
618
What is 662 minutes after 8:17 PM?
7:19 AM
What is 583 minutes before 1:49 PM?
4:06 AM
What is 616 minutes before 12:19 AM?
2:03 PM
What is 687 minutes before 1:15 PM?
1:48 AM
How many minutes are there between 4:28 AM and 11:02 AM?
394
How many minutes are there between 1:13 AM and 2:30 AM?
77
What is 676 minutes before 1:22 PM?
2:06 AM
What is 532 minutes after 4:09 AM?
1:01 PM
How many minutes are there between 3:22 AM and 6:13 AM?
171
What is 490 minutes after 3:36 AM?
11:46 AM
How many minutes are there between 9:33 AM and 11:50 AM?
137
What is 556 minutes after 6:39 AM?
3:55 PM
How many minutes are there between 5:34 PM and 4:04 AM?
630
How many minutes are there between 6:17 PM and 1:05 AM?
408
What is 588 minutes after 9:06 PM?
6:54 AM
What is 524 minutes after 12:18 PM?
9:02 PM
How many minutes are there between 12:17 PM and 10:22 PM?
605
How many minutes are there between 3:45 AM and 6:41 AM?
176
What is 204 minutes before 12:00 AM?
8:36 PM
How many minutes are there between 11:44 AM and 10:18 PM?
634
How many minutes are there between 5:43 AM and 11:56 AM?
373
How many minutes are there between 5:02 AM and 5:53 AM?
51
How many minutes are there between 7:54 PM and 3:42 AM?
468
What is 549 minutes after 1:28 PM?
10:37 PM
How many minutes are there between 8:47 AM and 10:19 AM?
92
What is 243 minutes before 2:34 AM?
10:31 PM
How many minutes are there between 4:06 AM and 11:45 AM?
459
What is 12 minutes after 9:18 PM?
9:30 PM
What is 560 minutes after 5:26 AM?
2:46 PM
What is 675 minutes before 7:55 PM?
8:40 AM
How many minutes are there between 1:38 PM and 9:31 PM?
473
What is 292 minutes after 4:04 AM?
8:56 AM
How many minutes are there between 12:35 PM and 6:48 PM?
373
How many minutes are there between 3:23 AM and 12:35 PM?
552
How many minutes are there between 11:47 AM and 11:59 AM?
12
What is 353 minutes before 5:19 PM?
11:26 AM
How many minutes are there between 1:49 PM and 3:11 PM?
82
How many minutes are there between 2:32 AM and 7:37 AM?
305
What is 165 minutes after 9:08 AM?
11:53 AM
What is 67 minutes after 11:29 PM?
12:36 AM
How many minutes are there between 5:36 AM and 3:21 PM?
585
How many minutes are there between 2:19 AM and 8:35 AM?
376
How many minutes are there between 4:47 AM and 6:55 AM?
128
What is 142 minutes after 8:05 PM?
10:27 PM
How many minutes are there between 7:22 AM and 7:42 AM?
20
What is 286 minutes before 9:13 PM?
4:27 PM
How many minutes are there between 7:40 AM and 10:35 AM?
175
How many minutes are there between 9:31 AM and 4:29 PM?
418
What is 428 minutes after 1:32 AM?
8:40 AM
How many minutes are there between 6:48 AM and 1:36 PM?
408
How many minutes are there between 2:10 PM and 6:35 PM?
265
What is 35 minutes after 9:20 PM?
9:55 PM
How many minutes are there between 11:00 PM and 9:23 AM?
623
What is 714 minutes before 8:42 AM?
8:48 PM
What is 581 minutes after 6:43 PM?
4:24 AM
How many minutes are there between 9:53 AM and 2:30 PM?
277
What is 688 minutes after 6:28 PM?
5:56 AM
How many minutes are there between 11:22 AM and 3:32 PM?
250
How many minutes are there between 12:41 PM and 10:40 PM?
599
How many minutes are there between 6:09 PM and 6:18 PM?
9
What is 303 minutes before 11:53 AM?
6:50 AM
What is 504 minutes before 10:06 PM?
1:42 PM
How many minutes are there between 1:24 PM and 8:12 PM?
408
What is 419 minutes before 2:27 AM?
7:28 PM
How many minutes are there between 3:30 PM and 2:59 AM?
689
How many minutes are there between 11:23 PM and 4:50 AM?
327
How many minutes are there between 4:35 AM and 12:46 PM?
491
What is 101 minutes after 7:57 AM?
9:38 AM
What is 360 minutes before 2:30 AM?
8:30 PM
What is 166 minutes before 8:27 PM?
5:41 PM
What is 59 minutes before 8:17 PM?
7:18 PM
What is 243 minutes after 10:10 AM?
2:13 PM
How many minutes are there between 11:51 PM and 4:00 AM?
249
How many minutes are there between 7:42 PM and 8:23 PM?
41
What is 543 minutes after 12:42 PM?
9:45 PM
How many minutes are there between 4:39 PM and 2:30 AM?
591
How many minutes are there between 3:19 PM and 5:41 PM?
142
How many minutes are there between 3:13 AM and 6:37 AM?
204
What is 586 minutes before 1:28 AM?
3:42 PM
How many minutes are there between 1:22 PM and 10:35 PM?
553
How many minutes are there between 7:44 AM and 8:11 AM?
27
What is 41 minutes before 5:17 PM?
4:36 PM
What is 592 minutes before 11:11 PM?
1:19 PM
How many minutes are there between 9:08 AM and 4:36 PM?
448
What is 676 minutes after 4:28 PM?
3:44 AM
How many minutes are there between 2:26 AM and 3:33 AM?
67
How many minutes are there between 5:08 PM and 3:36 AM?
628
What is 706 minutes after 5:28 AM?
5:14 PM
What is 283 minutes before 8:37 AM?
3:54 AM
What is 526 minutes after 7:12 AM?
3:58 PM
What is 309 minutes before 5:59 AM?
12:50 AM
How many minutes are there between 3:23 AM and 8:36 AM?
313
How many minutes are there between 11:29 AM and 10:00 PM?
631
What is 209 minutes before 12:44 AM?
9:15 PM
What is 414 minutes after 4:23 AM?
11:17 AM
What is 111 minutes before 1:57 PM?
12:06 PM
What is 628 minutes before 8:00 AM?
9:32 PM
What is 160 minutes before 11:41 PM?
9:01 PM
What is 586 minutes after 6:01 PM?
3:47 AM
What is 60 minutes after 9:03 AM?
10:03 AM
How many minutes are there between 3:30 AM and 12:10 PM?
520
What is 408 minutes after 12:11 AM?
6:59 AM
What is 82 minutes after 10:54 AM?
12:16 PM
What is 102 minutes before 7:35 AM?
5:53 AM
What is 420 minutes after 1:13 PM?
8:13 PM
How many minutes are there between 7:38 PM and 2:04 AM?
386
What is 466 minutes after 10:28 AM?
6:14 PM
How many minutes are there between 1:44 AM and 10:11 AM?
507
How many minutes are there between 7:01 AM and 9:01 AM?
120
What is 657 minutes before 6:40 AM?
7:43 PM
What is 374 minutes before 12:19 AM?
6:05 PM
What is 641 minutes after 2:43 PM?
1:24 AM
What is 36 minutes before 9:42 PM?
9:06 PM
How many minutes are there between 3:24 PM and 7:15 PM?
231
How many minutes are there between 11:57 PM and 4:49 AM?
292
What is 706 minutes after 5:37 PM?
5:23 AM
What is 292 minutes before 10:40 PM?
5:48 PM
How many minutes are there between 11:40 AM and 2:18 PM?
158
What is 679 minutes before 1:10 AM?
1:51 PM
What is 482 minutes after 2:44 AM?
10:46 AM
What is 564 minutes after 11:09 AM?
8:33 PM
What is 592 minutes before 3:56 AM?
6:04 PM
How many minutes are there between 8:19 AM and 9:28 AM?
69
What is 323 minutes before 4:46 AM?
11:23 PM
How many minutes are there between 9:05 AM and 11:34 AM?
149
How many minutes are there between 9:52 PM and 4:20 AM?
388
How many minutes are there between 10:11 PM and 10:25 PM?
14
What is 532 minutes before 6:48 AM?
9:56 PM
How many minutes are there between 3:36 PM and 11:28 PM?
472
What is 51 minutes after 6:26 PM?
7:17 PM
How many minutes are there between 10:48 AM and 1:13 PM?
145
What is 296 minutes before 2:17 AM?
9:21 PM
What is 584 minutes after 8:16 AM?
6:00 PM
How many minutes are there between 3:34 AM and 4:45 AM?
71
What is 501 minutes after 11:32 PM?
7:53 AM
How many minutes are there between 8:41 AM and 11:47 AM?
186
How many minutes are there between 4:56 PM and 1:19 AM?
503
How many minutes are there between 7:12 AM and 5:09 PM?
597
What is 677 minutes before 11:25 AM?
12:08 AM
What is 454 minutes before 2:23 PM?
6:49 AM
What is 217 minutes after 4:50 AM?
8:27 AM
How many minutes are there between 8:11 PM and 3:20 AM?
429
How many minutes are there between 9:30 AM and 10:14 AM?
44
How many minutes are there between 7:36 AM and 5:53 PM?
617
What is 149 minutes after 9:30 AM?
11:59 AM
How many minutes are there between 4:35 AM and 4:46 AM?
11
What is 639 minutes after 11:41 PM?
10:20 AM
How many minutes are there between 2:31 AM and 9:19 AM?
408
How many minutes are there between 2:53 PM and 3:07 PM?
14
What is 588 minutes after 4:45 PM?
2:33 AM
What is 321 minutes before 6:35 AM?
1:14 AM
What is 126 minutes before 12:13 PM?
10:07 AM
How many minutes are there between 3:33 AM and 2:38 PM?
665
How many minutes are there between 7:49 AM and 6:56 PM?
667
How many minutes are there between 9:29 PM and 10:51 PM?
82
What is 102 minutes before 3:05 AM?
1:23 AM
How many minutes are there be
|
{
"pile_set_name": "DM Mathematics"
}
|
se -22*v + 5 = -17*v. Suppose -5*g = -19 - v. Which is greater: 1 or g?
g
Let r be (-9)/((-999)/(-530))*-204. Let b = -974 + r. Which is bigger: 0 or b?
b
Suppose 0 = 3*d - 11 - 1. Suppose 20 = d*k + k. Suppose 3*y - 6*y = 4*t + k, 0 = 4*y. Which is greater: t or 1/5?
1/5
Let a = 0 - -0.18. Let f = 10.18 - a. Let j = 11 - f. Are -0.4 and j nonequal?
True
Let n = -11207921/68706 + 260/3123. Let v = n - -163. Which is smaller: v or -1?
-1
Let a = -9 - -16. Let t = a - 18. Let v = t + 11. Which is bigger: 3 or v?
3
Let b = -2.2 - 0.8. Let j = b + 2. Let o be 12*(4 + 60/(-16)). Which is smaller: j or o?
j
Let d = 10201/39 + -785/3. Let s = -106/273 - d. Let q = 3 + -2.8. Do q and s have different values?
True
Let i = -3 - 5. Let f(t) = t**3 + 8*t**2 - t - 7. Let v be f(i). Which is greater: v or -9?
v
Suppose -5*p + 5*d + 1 = -19, 33 = 2*p + 3*d. Which is smaller: p or 139?
p
Let g(d) = -d**2 - 2*d + 3. Let o be g(-5). Suppose -65 = -4*r - 17. Let m = o + r. Which is greater: 1/12 or m?
1/12
Let k(b) = b - 3. Let t be k(2). Let z(i) = -i**2 - 2*i. Let x be z(-2). Suppose w - 1 = x, -j - 1 = -4*w + 4. Is t less than j?
False
Let r be -2*(-2 + 3) - -1. Let c = -341 + 341.19. Is c less than or equal to r?
False
Let h be (-2)/3*(3 - (-3003)/(-980)). Which is greater: h or -1?
h
Let j = 24 - 8. Let s = -12 + j. Let q = 23 + -16. Is q at most as big as s?
False
Let z = -3 - -2. Let q = -115 - -60. Let h = q + 716/13. Which is smaller: h or z?
z
Let h be (-32)/(-14) - (-12)/(-42). Suppose -s - 3*s + 5*l + 18 = 0, 3*l = -4*s + h. Let w = -6 + s. Do -6 and w have the same value?
False
Let z = -490 - -490. Which is greater: z or 133?
133
Let a = 1 + 2. Let l be (0 - 1) + -1*a. Let u = 1 - 4. Which is smaller: u or l?
l
Let g be ((-3)/(-2))/(-3)*2. Let t = -1520/7 + 217. Which is greater: g or t?
t
Suppose -24 = 12*k - 10*k. Let d be k/(-28)*(-6)/(-9). Let w = 0.4 - 0.4. Which is bigger: w or d?
d
Let a be ((-2)/4)/((-153)/36). Let n = 0.74 - 0.94. Which is greater: a or n?
a
Let v = -1222 + 76984/63. Let o(x) be the third derivative of x**5/60 + 11*x**4/24 + 5*x**3 + 21*x**2. Let d be o(-6). Is v smaller than d?
True
Suppose -2*t = -8, -o = -6*o + t + 191. Let a be (-1)/((-22)/715*20/24 - 0). Do a and o have the same value?
True
Let z = 5 - 0. Suppose 10*y - z = 5*y. Let o = 32 - 97/3. Which is bigger: o or y?
y
Let g(z) = -z + 18. Let n be g(13). Suppose 3*v = 5*l + 108, -2*l - 32 = v - n*v. Let i = -55 - -32. Which is smaller: l or i?
l
Suppose 4*o = -4*x - x - 83, -5*x - 3*o = 81. Let n be (-10)/x*3*(-11 + -2). Is -26 <= n?
True
Suppose 0 = 5*r - 5, -6*r + r + 10 = 5*w. Let p = 12 - 13.8. Is w at least as big as p?
True
Let q = 36 + -28. Let h = 5 - 5. Suppose -33 = -3*b - 4*n + 4, h = 3*n - 12. Do b and q have different values?
True
Suppose 3*o + 25 = 3*i - 8*i, -5*o - 3*i - 15 = 0. Is 2/59 at most as big as o?
False
Let r be 7668/84 - 0 - 4/14. Is 91 at least as big as r?
True
Let j = -3 - 0. Let t(d) be the second derivative of d**3/3 - 12*d**2 + 7*d. Let r be t(11). Is r bigger than j?
True
Let d = 3.5 + -3.16. Let a = d - -1.66. Let u = -1/23 + -17/138. Are u and a equal?
False
Suppose 4*w - 51 + 11 = 0. Let d be 314/(-10) + 4/w. Is d less than or equal to -32?
False
Suppose n + 5*v = -6, 2*n + 0*v - 2*v - 12 = 0. Suppose 4*f - 3*x + 21 = -f, -5*x = 2*f - n. Let h = 43 + -42. Is f > h?
False
Let u = -36.4 + 43.6. Is u >= -0.2?
True
Suppose -197*r = -165*r. Let l = 2099/39480 - -2/4935. Which is greater: l or r?
l
Let c = 325235595472/991431349 - -2/23056543. Let i = -328 + c. Which is smaller: 0 or i?
0
Let z(f) = 5*f. Suppose 5*x + 4*s = 70, -2*s + 25 = 2*x - s. Let y be z(x). Suppose -2*n = -7*n - y. Is -10 bigger than n?
False
Suppose 3*y + 17 = -3*c - 19, -3*y = -c. Is -25 at most as big as c?
True
Let b be 260/39 + (-4)/6. Suppose -b*t - 5*w = -2*t + 10, -t + 6 = -3*w. Which is greater: 3/32 or t?
3/32
Let r(d) = -d**3 - 6*d**2 + 6*d + 4. Let a be r(-7). Suppose a*j - 3*j - 48 = 0. Let l = 2 + 3. Which is smaller: j or l?
l
Let c be (-5)/35*-7 - (-15)/(-21). Is -2.61 at most c?
True
Let a be 21/35 - 33/5. Let q be (-2 + (-15)/a)*64. Let c = -24 + q. Is 8 equal to c?
True
Let v be 25*6*(-2)/(-20). Suppose 3*w - 3*q = -0*q + 12, 3*q + 11 = 4*w. Let n be w/(-2)*10/v. Is n equal to 0.2?
False
Let t = 60/119 - 1063/2142. Is 0 at least as big as t?
False
Let w be (-3)/(-9) - 322/(-18). Let k = 18 - w. Let t(y) = 84*y + 336. Let n be t(-4). Which is smaller: n or k?
k
Let i(m) = m - 14. Let l be i(13). Let c be (l - 2)/(3/4). Let a be (1/2)/(c/(-12)). Is 3 at most a?
False
Let h(i) be the first derivative of -i**3/3 + 3*i**2 - 3*i - 18. Suppose -3*z - c + 2*c + 23 = 0, 3*c + 13 = 2*z. Let v be h(z). Are v and -18 non-equal?
True
Suppose 1054*q - 1055*q = -1189. Are 1188 and q equal?
False
Suppose -x - 4*b = -b + 18, -3*b = -2*x + 9. Which is smaller: x or -0.1?
x
Let m(j) = 16*j - 16. Let c be m(1). Let b(p) = -p**3 + 4*p**2 + 2. Let k be b(4). Which is smaller: k or c?
c
Let f(x) = -x**3 + 2*x**2 + 4*x + 61. Let s be f(0). Let u = -61 + s. Is u greater than or equal to 9?
False
Let m = 9 + -5. Let f = m + -3. Suppose -4 = 3*k - f. Is -1/13 at least k?
True
Suppose 0 = -10*b + 161 - 711. Which is greater: b or -53?
-53
Let w = -8440 - -5772959/684. Is 0 bigger than w?
True
Let g be (24/(-2))/3 - (-40474)/10143. Is g at most as big as -8?
False
Let u(p) = -p**3 - 8*p**2 - 7*p + 7. Let g be u(-7). Let k(v) = 4*v - 11. Let z be k(g). Is 17 greater than or equal to z?
True
Suppose 4 + 0 = 2*c. Let t be -1*c + 615/(-25). Let n = t - -547/20. Do n and -0.1 have different values?
True
Let v(q) = -q**2 + 3*q + 12. Let k be v(5). Suppose -10 = -3*u - 3*b + 59, k*u - 37 = -5*b. Is u smaller than 27?
True
Let m = -948 - -958. Which is bigger: -2 or m?
m
Suppose 8*y = 4*y - 92. Which is smaller: y or 6?
y
Let f be 3 - ((-22)/(-264))/((-1)/(-38)). Let b be 6/(-21) - 4/(-14). Which is smaller: f or b?
f
Let j = -38 - 16. Let a = j - -53.94. Is -2/3 >= a?
False
Let x = -10 - -19. Let t = -11 + x. Which is bigger: 3.1 or t?
3.1
Suppose 3*m + m = -t - 35, 65 = -5*m + 3*t. Let b be (-2)/(m/(-3 + 5)). Let h = -9 - -10. Is b at most h?
True
Suppose 0 = n - 2, 3*n = -4*a + 1912 + 914. Which is bigger: 704 or a?
a
Let a(p) = p**2 - 1 - 2*p**2 - 2 + 26 - 17*p. Let h be a(-19). Which is greater: -13 or h?
-13
Let c = -3411/3653 + 3/281. Is 0 > c?
True
Let m be ((-6)/(-1) + -1)*-1. Let w = 45471/10 - 4547. Is m >= w?
False
Suppose n - 6 + 5 = 0. Let l be ((-18)/225)/(n/(-5)). Let j = -3.2 + 0.2. Which is bigger: l or j?
l
Suppose -3*o = h - 7, -4*o + 2*o + 4*h = 0. Suppose 10 = 3*b - 4*s, -o*s = 2*b + 2 - 4. Suppose -b*x + 3 = -g, 5*x + 3*g - 6 = 4*g. Is x at most as big as 2/39?
False
Let u = -12533/8 + 1564. Is -2/13 at least u?
True
Suppose 4*r + 2*d + 5 = 3, -5*d - 27 = -r. Let t(s) = 0*s - 2*s**2 - r + s**2 + 1 - 5*s. Let k be t(-5). Are -3 and k nonequal?
True
Let r be 7*((-4)/6)/(84/(-18)). Which is greater: r or 15/7?
15/7
Suppose 0*q - 20 = 5*q. Let x(m) = m**2 + 4*m + 6. Let s be x(q). Suppose -f - s + 4 = 0. Is -3 greater than f?
False
Let g = 1 + -1. Suppose g = 8*o - 12*o - 440. Let j be o/68 - (-12)/8. Which is smaller: j or 1?
j
Let x = 19/3 - 6. Let o = -12 - -16. Let r be 1 - o - (-178)/58. Which is smaller: r or x?
r
Let f = 5 + 1. Suppose -3*l + 6 = -9. Suppose l*g - 12 = -k, -g + 2*k + 5 = -4. Which is smaller: g or f?
g
Let q(c) = -3*c. Let i be q(-6). Let s = i + -18. Suppose -3*l - 9 = -2*r - s*r, 7 = 2*l + 3*r. Is -1 at least as big as l?
True
Let c = 26 - 22. Let m be 1/(-4 - (2 + -5)). Let d be (-2 + m)*c/12. Is d bigger than -6/5?
True
Suppose 398 = -4*g + 394. Which is smaller: -318 or g?
-318
Let w(p) = p**2 - 6*p + 9. Let c be w(8). Let r = -8 - -4. Let u be (10/c)/(r/(-10)). Is u > 1.3?
False
Let v = -15.3 - -13. Let i = -2.16 - v. Let l = 7.14 - i. Which is smaller: l or -1?
-1
Let p = 2486 + -2608. Are p and -116 unequal?
True
Let t be 2 + 1/3*0. Suppose 2 = -t*r - 2*r - 2*w, -r + 5*w + 16 = 0. Is r at least as big as -9?
True
Let d = -8 + -1. Let c = d - -10. Is 1 < c?
False
Suppose 2*k + k - 529 = -2*q, -4*k + 534 = 2*q. Which is smaller: 258 or q?
q
Suppose 0 = 7*g - 85 - 328. Which is smaller: g or 117/2?
117/2
Suppose 0 = -o + 5*c +
|
{
"pile_set_name": "DM Mathematics"
}
|
82/49
Simplify ((sqrt(896) - sqrt(1694)*-2)/((sqrt(196)/sqrt(4))/sqrt(7) + sqrt(7) + (sqrt(21) - 1*sqrt(21))/sqrt(3)) + -1)*-4.
-60*sqrt(2) + 4
Simplify 0 + ((0 + sqrt(1008) + -2 + sqrt(1008) - sqrt(1008)) + sqrt(1008))**2 + (sqrt(700) + 2 - sqrt(700) - (-4*sqrt(7) + 4)).
-92*sqrt(7) + 4034
Simplify (3*sqrt(72) + sqrt(72))/(sqrt(729)*3) + ((-2*sqrt(128) - sqrt(128))*5 - ((sqrt(128)*-1)**2 + sqrt(2) + (sqrt(2) - sqrt(2)*2*-2))).
-3394*sqrt(2)/27 - 128
Simplify (1*(sqrt(144) + sqrt(144) + (sqrt(144) + -6*(sqrt(144)*-4 + sqrt(144)) + sqrt(144) - sqrt(144)) - sqrt(144)))/(sqrt(48)*5*-3).
-4*sqrt(3)/3
Simplify (sqrt(162)*-1 - sqrt(72)/(-1*sqrt(4)))/((sqrt(99) - (sqrt(99)*1 - sqrt(99))*5)/(sqrt(11) + sqrt(11) + sqrt(110)/(sqrt(20)/sqrt(2)))).
-6*sqrt(2)
Simplify ((sqrt(130)*-3*6)/((1*sqrt(90))/sqrt(9)))**2 + ((-1*sqrt(52) - sqrt(13)) + sqrt(13) + 1 + 0 + sqrt(13))**2*1 + -1.
-2*sqrt(13) + 4225
Simplify 4*((sqrt(891) + -3 + (sqrt(891) - (sqrt(891) + -1)) + sqrt(891))**2 + -3) + -5 + -1 + 4.
-288*sqrt(11) + 14258
Simplify (3*(-3*((sqrt(1300) - sqrt(1300)*4) + -4)*5*6 + -5))**2.
17253000*sqrt(13) + 854064225
Simplify (-1*sqrt(68)/sqrt(4)*4 + -1 + 4 + (sqrt(68) + 2 + sqrt(68) + -3 - sqrt(68)))**2.
-8*sqrt(17) + 72
Simplify (-1*(sqrt(20)/(sqrt(10)*-1) + sqrt(50) + -4 + sqrt(2) + sqrt(128) + (-6*(sqrt(128) + -3))**2) + -1)*3.
-14787 + 5145*sqrt(2)
Simplify (-5*((-5*sqrt(156)*3*-1)/(sqrt(768) - (1*sqrt(768) - sqrt(768))*3) + 5))**2.
1875*sqrt(13)/4 + 113125/64
Simplify 5*(4 + (sqrt(8)*5)**2) - (2 + (sqrt(32)*-1 - sqrt(32)) + (-2*sqrt(128))/sqrt(4))**2.
64*sqrt(2) + 504
Simplify (-5*sqrt(104)*4 - -5*(3*sqrt(104) - sqrt(104)))/(-5*sqrt(288)*2)*5.
5*sqrt(13)/6
Simplify (-2*2*sqrt(2448) - (sqrt(2448) + 1*sqrt(2448) + 0) - (-4 + 5*(sqrt(2448) - (sqrt(2448) - (1*sqrt(2448) + sqrt(2448)))) + -2))**2*-6.
-3760344 + 13824*sqrt(17)
Simplify (-2 + (-2*sqrt(76)*1 + 0 + sqrt(76) + 1 + sqrt(76) + sqrt(76) + 1 - ((sqrt(76) - sqrt(76)*-1)*6 + 3*sqrt(76)*-2 + 2)))**2.
40*sqrt(19) + 1904
Simplify 4 + (-1*sqrt(1573))**2 + 5 - ((-5*(sqrt(91) - 2*sqrt(91) - sqrt(91)))/((sqrt(28) + sqrt(7))*-4))**2.
56627/36
Simplify ((sqrt(21)/(sqrt(21)/sqrt(3)) + sqrt(27) + -2 - (4 + (sqrt(3) - sqrt(6)/sqrt(2)) + (sqrt(30) - sqrt(120))/sqrt(10)))*6)**2.
-2160*sqrt(3) + 3996
Simplify ((sqrt(1573)*1 + -1)*-4 + -1*(sqrt(1573) + 3 + 5))**2*6.
2640*sqrt(13) + 236046
Simplify (1 + (sqrt(2548)*-1 + sqrt(52) + sqrt(832)*4)/(sqrt(256)*2 + sqrt(64)*2))*-3.
-5*sqrt(13)/4 - 3
Simplify -3 + (2*(sqrt(2) + 3 + (sqrt(2) - sqrt(2)*-2) - sqrt(2)) + -2 + sqrt(162) + sqrt(162) + sqrt(2) + (sqrt(2) + sqrt(2) + 1)*-4)*2.
-3 + 34*sqrt(2)
Simplify (-4 + (1 + -1*sqrt(891) + sqrt(891))**2 - ((sqrt(99) - (sqrt(99)*2)**2) + -5 + -2))*6.
-18*sqrt(11) + 2400
Simplify -1*(-1 + (0 + -6*1*sqrt(605) + sqrt(605))**2 + ((sqrt(605) - ((sqrt(605) + 0 + sqrt(605))*6 + sqrt(605) + sqrt(605))) + -1*sqrt(605)*-2)**2*5).
-381149
Simplify (-2*(sqrt(120) - (6*(sqrt(120) + 2*sqrt(120)) + sqrt(120) + sqrt(120) + sqrt(120) - sqrt(120)))/sqrt(10))**2*1*6.
103968
Simplify (5*-3*(sqrt(704)*2 - sqrt(704)) + (sqrt(704)*2 + 5 - sqrt(704)*-2*3) + -1)**2.
-448*sqrt(11) + 34512
Simplify 4 + (sqrt(90)*2*-6)/(sqrt(16)/(sqrt(80)/sqrt(250))).
-36*sqrt(5)/5 + 4
Simplify -2*((sqrt(156) + -4*(sqrt(156) + sqrt(156)*-1))*-5)/(sqrt(60)/(-3*(sqrt(5) + (sqrt(5) - sqrt(5)*-2 - sqrt(5))) + sqrt(5))).
-80*sqrt(13)
Simplify (((-1 + sqrt(325) - sqrt(325)) + -2 + sqrt(325) - (0 + sqrt(325) + 0))**2 - (sqrt(52) + (sqrt(52) - sqrt(6292)*2))/(sqrt(4) - sqrt(64))) + 0.
-20*sqrt(13)/3 + 9
Simplify -3*(-4*(-2*sqrt(171) + sqrt(19) + (sqrt(19) - (-5 + 2*sqrt(19))))*-1 + 0)**2.
-34032 + 2880*sqrt(19)
Simplify (1*sqrt(304) + -4 - (sqrt(304) - (((1*sqrt(304) - sqrt(304)) + 3)**2 + sqrt(304))))*-4 + (-1 + 3 + sqrt(304) - (sqrt(304)*1 + 1 - sqrt(304))**2).
-12*sqrt(19) - 19
Simplify (-3*(sqrt(1216) - 3*(sqrt(1216)*2 - sqrt(1216)) - (sqrt(1216) - -6*(sqrt(1216) - (2*sqrt(1216) + sqrt(1216))) - sqrt(1216)))*1*-2)**2*-6.
-26265600
Simplify ((-1 + -4 + sqrt(3)*-3 + -1 + sqrt(363) + sqrt(363) + 3)*-3)**2.
-1026*sqrt(3) + 9828
Simplify -4*(-4*(5*(sqrt(3) + sqrt(363) + 0) - (sqrt(36)/sqrt(3) + sqrt(12))*3))**2*6.
-2654208
Simplify (-3 + 6*(-3*(2 + sqrt(405) - sqrt(405)) + sqrt(5) + sqrt(45)/(sqrt(225) - sqrt(9)) + sqrt(5) + 1))**2.
-891*sqrt(5) + 8001/4
Simplify ((sqrt(144)*-2*2)/sqrt(12))**2 + 2*sqrt(48) + (sqrt(12)*-3)/sqrt(4) + -4.
5*sqrt(3) + 188
Simplify ((sqrt(540) - 5*-2*sqrt(540))/(-3*sqrt(108)))/((sqrt(54)/sqrt(2))/sqrt(3) - (sqrt(90)/sqrt(160) - sqrt(9))).
-44*sqrt(5)/63
Simplify (4 + 0 + -6*sqrt(7) + -1 - (sqrt(567)*5 + sqrt(7) + sqrt(63)*-6))*1.
-34*sqrt(7) + 3
Simplify ((sqrt(114) - (1*sqrt(114)*-2 + sqrt(114))) + sqrt(114) + sqrt(114)*1*-2)/((1*sqrt(72))/sqrt(12) + (sqrt(54) + sqrt(486) - sqrt(6))) + -3.
-3 + sqrt(19)/12
Simplify 5 + -3*(sqrt(288) + -1*(sqrt(288) - (sqrt(288) - ((-1*sqrt(288) - sqrt(288)) + sqrt(288)))) - 3*(1 + sqrt(288)))**2*-2*3.
1296*sqrt(2) + 5351
Simplify 1*(-3 + -2*(4 + sqrt(38)/sqrt(2) - sqrt(19)) + (-2*sqrt(304) + sqrt(19) + sqrt(19))*-5 + 4)**2.
-420*sqrt(19) + 17149
Simplify (-2*(sqrt(864)*3 + sqrt(24))*4)/((sqrt(56) - -2*sqrt(168)/sqrt(3))/(6*sqrt(112))).
-1216*sqrt(3)
Simplify 5 + -1*sqrt(605)*-2 + 5 - (3 + 4*(sqrt(15)/sqrt(3) + -4) + -3).
26 + 18*sqrt(5)
Simplify 4*((((sqrt(468) - sqrt(468)*-2) + sqrt(468))*2 - sqrt(468) - -1*sqrt(468)*-2)*6)**2 + 1 + 1.
1684802
Simplify (-5*sqrt(300)*6)**2 + -5 - ((sqrt(3) + 0)*-3 - (-3*(-3 + sqrt(3) - sqrt(3)) + sqrt(3)))**2.
-72*sqrt(3) + 269866
Simplify 3 + -4 + -1*(5 + (2 + (-1 + sqrt(108) - sqrt(108)))**2).
-7
Simplify ((sqrt(78) + (6*(sqrt(78) + (sqrt(78) - (sqrt(78) - sqrt(78)*-5)) + sqrt(78)) - sqrt(78)))*5)/(sqrt(54)/(sqrt(108)/(sqrt(12) + 3*sqrt(12)))).
-45*sqrt(13)/2
Simplify 1*(3 + (2*sqrt(18))**2 + -2) - (-4*sqrt(36)*2)/(sqrt(2) - (sqrt(128) - (sqrt(128)*1 + sqrt(128)))).
8*sqrt(2)/3 + 73
Simplify -3 + ((sqrt(54)/sqrt(144) + sqrt(6))/(sqrt(98)*-2)*-2 - (((sqrt(108) + (sqrt(108) - 1*sqrt(108)) + sqrt(108))*-4 + 0)*6)**2).
-248835 + 5*sqrt(3)/28
Simplify -1 + (sqrt(175) - 1*(1 + sqrt(175)))*-1 + ((sqrt(7) - 2*sqrt(7)*1) + (1 + sqrt(7))*-6)*3.
-21*sqrt(7) - 18
Simplify -1 + ((-2*sqrt(162))**2 + 0 - 6*(1 + sqrt(162))) - (-6*(sqrt(162) + (sqrt(162) - (0 + 1*sqrt(162)))) + 0)**2.
-5191 - 54*sqrt(2)
Simplify -3 + (5 + 2 + sqrt(891) + 3 - (-1*sqrt(891)*1 + 1))**2.
324*sqrt(11) + 3642
Simplify (sqrt(343)/(sqrt(7)*-4)*-2)/((sqrt(7) - sqrt(21)/sqrt(3)*-4)*3) + 2.
sqrt(7)/30 + 2
Simplify 2*(-3 + -3*(sqrt(700) + 2) + (1 + (sqrt(700) - sqrt(700)*-3))**2 + -5) + 0.
100*sqrt(7) + 22374
Simplify 6*((1*sqrt(132) - sqrt(132))*1*2)/((sqrt(432) + sqrt(432)*2 + sqrt(432))*5)*-4.
0
Simplify ((3*(sqrt(76) - (1*sqrt(76)*2 - sqrt(76) - sqrt(76)) - (-4*sqrt(76)*-1 + sqrt(76))))/((sqrt(160)/sqrt(4)*-5 + sqrt(40))/(-1*sqrt(360))))**2.
6156
Simplify (0 + -4 + (sqrt(3) + sqrt(48) + -2)**2)*3 + 6*-4*(-1 + sqrt(432)).
-348*sqrt(3) + 249
Simplify 5*(-4*-1*sqrt(66))/sqrt(6) + 3 - ((3*(sqrt(275) + -1) - sqrt(275)) + -2*(sqrt(275) + 1))*-6.
-27 + 20*sqrt(11)
Simplify -4 + (5 + -4 + sqrt(425) + 2 + ((0 + sqrt(425))*-5 - sqrt(425)) + 4)**2.
-350*sqrt(17) + 10670
Simplify 3*(-1 + (sqrt(1764) - (sqrt(1764) + 1*sqrt(1764)*2 + sqrt(1764) + sqrt(1764)))/(sqrt(14)/(-2*sqrt(128) - sqrt(2)))).
-3 + 1224*sqrt(7)
Simplify (3*4*sqrt(132))/(6*sqrt(108)) - ((3 + sqrt(110)/(sqrt(10) - (sqrt(40)*3 + sqrt(10))))**2 + -4).
-191/36 + 5*sqrt(11)/3
Simplify -2*(-3*(4 + sqrt(13)) + sqrt(13) + sqrt(13)*2 + -3 - (sqrt(117) + 1*sqrt(117)*-1)/(sqrt(63)/sqrt(175))).
30
Simplify (6*sqrt(18)*-1 + sqrt(162)*-1)/(3*(sqrt(6) + sqrt(6) + sqrt(60)/(1*sqrt(10) + sqrt(10)))*3)*-3.
6*sqrt(3)/5
Simplify (-1*sqrt(198)*5*4)/(sqrt(2592) + (sqrt(2592) + sqrt(2592)*1 + sqrt(2592))*6) + 5.
-5*sqrt(11)/57 + 5
Simplify -3*((sqrt(800) - (2 + sqrt(800)*2))*6 - ((sqrt(800) - (1 + sqrt(800) + 2)) + -1)).
24 + 360*sqrt(2)
Simplify (((-5*sqrt(550) + sqrt(550))*-2)/sqrt(11))/((sqrt(640) - 6*sqrt(640))*-4 + sqrt(640)).
sqrt(5)/21
Simplify (5 + (sqrt(3) - (sqrt(24)/sqrt(8) + -1)) + sqrt(432) + 1 + -5)**2 + 0.
48*sqrt(3) + 436
Simplify 1*(-5*(sqrt(11) + 1) + sqrt(11) + sqrt(11) + -3*sqrt(11)*-1 + 2 + sqrt(44)*6).
-3 + 12*sqrt(11)
Simplify (-2 + -1 + 2*(1 + sqrt(17))*2 + ((3*sqrt(68
|
{
"pile_set_name": "DM Mathematics"
}
|
o 6 decimal places?
-0.000006
Suppose -3*p - 3*i = 3915690, -i - 2035766 - 1879916 = 3*p. Let j = -4474492 + 2079266. Let u = j - p. Round u to the nearest 100000.
-1100000
Let x = -480.78 - -480.7864911. What is x rounded to 5 decimal places?
0.00649
Let u be (-9)/(-3)*-3*(-8)/36. Suppose 5*o + 3*v = -32, -3*o + u*o = v + 8. Let i be ((-27750)/o)/(3 + 28791/(-9600)). Round i to the nearest 1000000.
7000000
Let n = 26438.57 - 25939. What is n rounded to the nearest 10?
500
Let b(s) = -20532*s + 6 + 6 - 105359*s + 1562*s. Let d be b(6). Let n = 2145962 + d. Round n to the nearest one hundred thousand.
1400000
Let w = 27160.995534 - 27161. Round w to three dps.
-0.004
Let o = -2757658 + 2757658.04439364. Let m = o - 0.0444. What is m rounded to 6 decimal places?
-0.000006
Let p = -16403.8695 + 16399. Let d = 73.1 + -78. Let l = d - p. What is l rounded to 3 dps?
-0.031
Let q = -2.3034 - -2.44558. Round q to one dp.
0.1
Suppose -336*v = -332*v. Suppose v*k - 4*k = 5*o + 7300, 3*k + 5444 = 4*o. What is k rounded to the nearest one thousand?
-2000
Let n = 804330365 - 804329898.999683. Let w = 466 - n. Round w to 4 dps.
-0.0003
Let m = 5.591 - 0.241. Let l = 5.349006 - m. What is l rounded to 4 dps?
-0.001
Suppose -3*j - f = -8, 0 = -3*j + 8*j + 3*f - 16. Suppose j*y - 474 - 176 = 0. Let l = 3275 - y. What is l rounded to the nearest one hundred?
3000
Let y = 844.5 - 556. Round y to 0 decimal places.
289
Let f = -2.4 - -2.31. Let y = 0.26 - f. Let z = -0.34964 + y. What is z rounded to four decimal places?
0.0004
Let h = 29489.19153 - 29489. What is h rounded to three decimal places?
0.192
Suppose -8*k = -3*k - 145. Suppose 34*r = k*r - 40. Let t(q) = 9*q**3 - 10*q**2 + 4*q + 10. Let s be t(r). Round s to the nearest 100.
-5300
Let l = 21 + -21.079. Let k = 98.914 + -99. Let p = k - l. Round p to three dps.
-0.007
Let f = -393 - -68. Let s = 325.0718 + f. Round s to 3 dps.
0.072
Let c(i) = 3*i**2 + 18*i + 31. Let x be c(-5). Let t be x/3*2046/(-44). What is t rounded to the nearest one hundred?
-200
Suppose -2*q + 2*x + 91 = 3*x, 4*q = -4*x + 172. Suppose 0 = 18*a - 44*a + 2990. Let h = q - a. Round h to the nearest ten.
-70
Let g(k) = 20*k - 205. Let r be g(-6). Let m be 18329996/26 - (-10)/r*-5. Round m to the nearest one hundred thousand.
700000
Let v = 0.111 - -5.549. Let u = -0.31 + v. Round u to one dp.
5.4
Let o = -1.19 - 166.81. Let g = 106 + o. Let c = g - -61.812. Round c to 2 decimal places.
-0.19
Let j = -7.469 + -0.431. Let d = -69.8 + j. What is d rounded to the nearest 10?
-80
Let v = -313.9957 + 314. Let p = v - 0.5403. What is p rounded to one dp?
-0.5
Let s = 3.8204 - 20.2676. Let q = s + 16.5. Round q to 3 decimal places.
0.053
Let y be -6 - ((-5929 - 2) + 6). Suppose -r - 1486 = n, -y = -25*r + 29*r - n. What is r rounded to the nearest one hundred?
-1500
Let f(l) = -3*l**3 - 10*l**2 - 5*l + 13. Let k be f(-11). Let g = k + -7069. Let p = g + -7782. What is p rounded to the nearest 1000?
-12000
Suppose -2954100 = 31564*v - 31614*v. What is v rounded to the nearest one thousand?
59000
Suppose -3*c + 5*y = 216005, -302*c + 303*c - y = -72001. What is c rounded to the nearest 10000?
-70000
Let h = 36707 + -19259. What is h rounded to the nearest one thousand?
17000
Let j = -3253.024 + 3246. What is j rounded to zero dps?
-7
Let j = -329.95000049415 - -329.95. What is j rounded to seven decimal places?
-0.0000005
Let d = 0.1937476 + -0.19766. Round d to four dps.
-0.0039
Let l = -6.21348 + 6.29. Round l to 3 decimal places.
0.077
Let r = 11929.7777 - 11933. Let y = 3.2 + r. What is y rounded to 3 decimal places?
-0.022
Let t(g) = -821210*g + 940. Let k be t(14). What is k rounded to the nearest one hundred thousand?
-11500000
Let l = -52.76 + 57.566. Let d = 5.064 - 0.164. Let k = l - d. Round k to 2 decimal places.
-0.09
Let s = -28779 + 28776.7287. Round s to two dps.
-2.27
Let u = -2.69 + -5.02. Let y = u + 7.8. Let h = y + -0.09000272. Round h to 7 dps.
-0.0000027
Let g = 10.74129914701 - 10.7413. What is g rounded to seven dps?
-0.0000009
Let d = -0.472177 + 0.4741. Round d to four decimal places.
0.0019
Let d = 0.84 + 72.42. Let x = -67 + d. What is x rounded to the nearest integer?
6
Let p = 4.94 - -251.06. Let d = p + -255.99999795. What is d rounded to six dps?
0.000002
Let s be (-3 + 1)/((-2)/11). Suppose -31*b = -21*b - 70. Suppose -4*k + b = s. Round k to the nearest ten.
0
Let a = 100 - 115. Let s = a + -126.2. Round s to the nearest ten.
-140
Let q = 3338.1 + -1218.6. What is q rounded to the nearest 10?
2120
Let h(q) = 4374997*q + 7. Let t be h(5). Let b = -4575383 - -9000391. Let f = b + t. What is f rounded to the nearest one million?
26000000
Let u = -61562.999950133 - -61563. What is u rounded to 5 dps?
0.00005
Let t be 6*(-120)/54*65025/2. Round t to the nearest 10000.
-430000
Let t = 531.20743732877 + -0.20742336877. Let n = 531 - t. What is n rounded to six decimal places?
-0.000014
Let n = -0.011701 - -0.011677547. What is n rounded to 7 decimal places?
-0.0000235
Let g be (-7218)/54*(345 + 0). Let p = g + 82167. Let o = p + 128948. What is o rounded to the nearest ten thousand?
170000
Let h = -123.308 - -0.308. Let u = 122.999999881 + h. Round u to 7 dps.
-0.0000001
Let i = 0.1176453 + -0.11827. Round i to five dps.
-0.00062
Let i = -0.229 - -0.019. Let a = -0.20999591 - i. Round a to seven dps.
0.0000041
Let s = 123231482066 - 123232626653.10362. Let i = -1144391.1 - s. Let b = 196 - i. Round b to 4 dps.
-0.0036
Let c = -373.859 + 0.859. Let k = c + 362.43. What is k rounded to 0 decimal places?
-11
Let n = 26.20079027 + -26.201. What is n rounded to 5 dps?
-0.00021
Let o(d) = -23331*d + 7. Let y be (-1908)/(-63) + 2/(-7). Suppose -34*v + y*v = 12. Let i be o(v). What is i rounded to the nearest one hundred thousand?
100000
Let i = -1338.57183 - -1312.97. Let t = -25.6 - i. What is t rounded to three dps?
0.002
Let x = -33273 - -33271.80792. Round x to 2 dps.
-1.19
Let a = -580 - -353. Let k = 226.39 + a. Round k to 1 dp.
-0.6
Let z = 275.0578 - -0.9294. Let p = 276 - z. What is p rounded to three decimal places?
0.013
Let y = 223 + -223.0415. Let n = y + 0.040862. What is n rounded to 5 decimal places?
-0.00064
Let i = 8040.46 + -8253. Let b = i + 214. What is b rounded to 1 decimal place?
1.5
Let f = -13.9 - 4. Let o = f - -0.9. Let n = -16.9925 - o. Round n to three dps.
0.008
Suppose 31 = -3*d - 137. Let k = d + 51. Let b(y) = 1120*y**2 + y + 5. Let g be b(k). What is g rounded to the nearest 10000?
30000
Suppose -l = 5*j + 8, -j = 2*l - 1 - 1. Suppose -17*t + 19*t = 10. Suppose -l*b = -0*b + t*r - 10475, 5224 = b - 2*r. Round b to the nearest 100.
5200
Let t(r) = r**2 + 2*r - 3500. Suppose 3*s = -2*c - 10, -5 + 3 = s + c. Let i be s/2 + (-4 - -7). Let f be t(i). Round f to the nearest one thousand.
-4000
Let d = -8.64 + 8.6405588. What is d rounded to 5 decimal places?
0.00056
Suppose -35*h + 245119601 + 113280399 = 0. Suppose 8*t = 4*t + h. What is t rounded to the nearest 1000000?
3000000
Let b(l) = -662*l**3 - 6*l**2 + 7*l + 25. Let f be b(5). What is f rounded to the nearest ten thousand?
-80000
Let c = -351 - -134. Let p = c + 216.9999744. Round p to five dps.
-0.00003
Let o = 38 + -38.04. Let q = o + -3.76. Let f = 3.8025 + q. What is f rounded to three dps?
0.003
Let s = 92065301 - 63672301. What is s rounded to the nearest 1000000?
28000000
Let h(m) = m**3 - 4*m**2 + m + 117400000. Let f be h(0). Let g be (21/14)/(30/f). Round g to the nearest 100000.
5900000
Let b(s) = -246*s**2 - 504*s - 144. Let h be b(53). Round h to the nearest 100000.
-700000
Let f = 6977.563172 - 7065.06316797. Let g = 87.5 + f. Round g to seven decimal places.
0.000004
Let p(m) = -2548*m + 242. Let g be p(-3). Suppose 64 = 5*f - g. Round f to the nearest 1000.
2000
Let f = -4640 + 4640.0000010137. What is f rounded to seven decimal places?
0.000001
Let w = -19.3 + -68.7. Let u = w + 87.959. Let o = u + 0.043. Round o to 2 dps.
0
Let u = -0.11 - -0.10997753. Round u to 6 dps.
-0.000022
Let j be (0 - (-131)/3) + 2/6. Suppose -7*s + 3*s + j = 0. Suppose s*l - 53000000 = 16*l. What is l rounded to the nearest 1000000?
-11000000
Let a = -23785 - -23794.597. Let p = a - 9.6. Round p to 2 decimal places.
0
Let l = 292.027 -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1 - 1)*(0 + 1 + 0)*((-n + 3*n - n)*(5 - 4 - 3) - 3*n + n + n).
24*n
Expand (0 - 1 + 3)*(-4*w**5 + 3*w**5 + 3*w**5 + (-5*w**2 + 0 + 0)*(0*w**3 + 0*w**3 - 2*w**3)).
24*w**5
Expand (2*l + l - l)*(4*l + 0*l - 2*l) - 4*l**2 + 4*l**2 - 2*l**2 - 2*l**2 + 3*l**2 + 5*l**2.
8*l**2
Expand (5*k**2 - k**2 - 2*k**2)*(0 + 9 + 2)*(0 - 3 + 2).
-22*k**2
Expand (2*o - 2 - o - 3*o)*(19*o**2 + 51 - 51).
-38*o**3 - 38*o**2
Expand (-2*t + 0*t + t)*(-4 + 0 + 2) - 10 - 9*t + 10.
-7*t
Expand (-2*v + 2*v - 1 + v)*(-2*v**4 - v**4 + 4*v**4).
v**5 - v**4
Expand (j - j + j**2)*(4 + 2*j - 4) + j**3 + 0*j**3 + j**3 - 7*j**3 - j**3 + 3*j**3 + (-j + 2 - 2)*(4*j**2 - 4*j**2 + 2*j**2).
-3*j**3
Expand (0 - 1 + 3)*(1 + 0 + 3)*(-w + w - 2*w).
-16*w
Expand (2*s**2 - 3*s + 3*s)*(8 - 26 - 24).
-84*s**2
Expand 0*p**2 + 0*p**2 + 3*p**3 + (-2 + 0 + 0 + p)*(0*p**2 - 2*p**2 - 11*p**2).
-10*p**3 + 26*p**2
Expand (0*a**3 + 6*a**3 - 4*a**3)*(4*a**2 + 0*a**2 - a**2).
6*a**5
Expand (3 - 3 - 2*u)*(u + 2*u - 6*u) + u**2 - u**2 + u**2 - u - 2*u**2 + u + (2*u - u + u)*(1 - 1 - 2*u) - 4 + 4 + 2*u**2.
3*u**2
Expand (-4 + 6*r - 4*r + 3)*(2 - 2 + 3*r).
6*r**2 - 3*r
Expand (-z + 2*z + 0*z)*(z**3 + 27 + 82 + 1348*z**4 - 1349*z**4).
-z**5 + z**4 + 109*z
Expand (0 + 0 - 1)*(2 + 3 - 3)*(t + t - 3*t)*(0 - 2 + 1).
-2*t
Expand (z**2 - z**2 - z**2)*(3*z**2 + 2*z**2 - 3*z**2) + 2*z**4 - 6*z**4 - 3*z**4.
-9*z**4
Expand (d**2 + 4*d**3 - d**2)*(-3*d - 2*d + 7*d).
8*d**4
Expand 2*n**4 - 5*n + 5*n + 4 - 4 - n**4 + (2*n - n + 0*n)*(2*n - 2*n**3 - 2*n) + 0*n**4 + 0*n**4 - n**4 + n**4 + 0*n**4 - 2*n**4.
-3*n**4
Expand (2 + 2*b - 2)*(7*b**2 - 2 + 3*b**2 + 1).
20*b**3 - 2*b
Expand 0*a + 0*a - 2*a**3 + (1 - 1 - 1)*(1 + 5 + 7*a**3 - 4).
-9*a**3 - 2
Expand (-7*g + 3*g + 2*g)*(-3*g + 6*g + 0*g - 7).
-6*g**2 + 14*g
Expand -3*o**3 + 0*o**3 + o**3 + 55 - 4*o**3 - 55 + (o - o + o**2)*(0*o - o - o) + (-3*o - o + 2*o)*(0*o**2 + 2*o**2 - 3*o**2).
-6*o**3
Expand (-25*k**2 + 1211 - 1211)*(-3 + 0 + 5).
-50*k**2
Expand (0 + 1 - 11*q + 9*q)*(-5 + 5 - 2).
4*q - 2
Expand (3 + 0 - 2)*(-d**3 - 2*d**3 + 5*d**3) + 0*d**3 - 2*d**3 + 6*d**3 + 1 - d**3 - 6 + 6.
5*d**3 + 1
Expand 2*i**4 - 2*i**4 + i**5 + (-3 + 3 - 2*i**4)*(-i + 2*i + 0*i) - 10*i**5 + 2*i**5 - 15*i**5.
-24*i**5
Expand (-6*g**2 + 0*g**2 + 4*g**2)*(-g - g + g) - g**3 + 5*g**3 + 0*g**3 + g**2 - g**2 - 2*g**3 - 3*g**3 + 0*g**3 + 5*g**3.
6*g**3
Expand (-2*z + 5*z - 2*z + 3*z - 2*z + 2*z + (3*z + 0*z - z)*(1 - 3 + 1))*(-11 + 0 + 4).
-14*z
Expand (1 + 3 - 1)*(q - 6*q + 11*q).
18*q
Expand (-4 + 2 + 3)*(-6*q**2 + 3*q**2 + 4*q**2).
q**2
Expand (-3 + 3 + d)*(-3 + 7 - 2)*(1 + 1 + 0)*(4 + 0 - 2).
8*d
Expand (-h - h**2 + 4*h - h)*(10 - 2 - 1).
-7*h**2 + 14*h
Expand -5*m**2 + 0*m**2 + 3*m**2 + 0*m**2 + 4*m**2 + 2*m**2 - 2 + 2 + 2*m**2 + (m + 4 - 4)*(-6*m + 4*m + 0*m) - 1 - m**2 + 1.
3*m**2
Expand -7*g**2 + 0*g**2 + 2*g**2 + (1 + 2 - 5)*(3*g**2 + 2*g**2 - 4*g**2 - 4*g**2 + 4*g**2 + 2*g**2 + (-g**2 - 2*g**2 + 2*g**2)*(-1 - 4 + 4)).
-13*g**2
Expand (n - 3*n + 3 + 0*n)*(-2 - 1 + 2).
2*n - 3
Expand (-6 - 23 + 2)*(3*r**3 - 6*r**3 + r**3)*(-4 + 3 + 0).
-54*r**3
Expand (0*r - 3*r + 2*r)*(1 + 2 - 1)*(3*r - 3*r - 5*r**4).
10*r**5
Expand (11 + 1 - 3)*(-1 + 9*o - o**2 - 9*o).
-9*o**2 - 9
Expand (1 + 1 + 0)*(7*p**5 + 18 - 18) + 3*p**5 + 2 - 2.
17*p**5
Expand -3*z - 2*z + 2*z - 2*z + 5 - 5 + (0 + 2*z + 0)*(-1 + 3 - 1) - z + 3*z + 0*z.
-z
Expand 6*v**4 + 2*v**4 + v**4 + (-2*v**3 + 0 + 0)*(2*v + 0 + 0) + v**4 + 2*v**4 - 6*v**4.
2*v**4
Expand (-3 + 3 + 1)*(0 + 0 + w)*(4*w - 4*w - 2*w).
-2*w**2
Expand (7*b + 0*b + 4*b)*(2 - 2 - b).
-11*b**2
Expand v + 4*v - 3*v + (-3*v + 5*v + 0*v)*(-5 + 3 + 1) - 4*v + v + 0*v.
-3*v
Expand (-3*h**5 + 0*h**5 + h**5)*(-4 + 1 + 0) + (-2*h**4 + 4*h**4 + 0*h**4)*(3*h - 5*h + 3*h).
8*h**5
Expand (2 + 2 - 6)*(-n + 5*n - 3*n) + 3*n + n - 3*n + n + 4 - 4 + (-5*n + 3*n + n)*(-1 + 5 + 1).
-5*n
Expand ((-1 + 4 - 1)*(-4*r + 0*r + 2*r) - 4*r + 5*r - 2*r)*(0*r**3 + 5*r**3 - 3*r**3 + (0*r**2 + r**2 + r**2)*(1 + r - 1) + 23*r**3 - 33*r + 33*r).
-135*r**4
Expand (4*g - 3*g + g)*(4 - 4 - 2*g) - 2*g**2 + 7*g**2 - 3*g**2 - g**2 - g**2 + 3*g**2 + (-2*g + 3*g - 3*g)*(3*g + g - 2*g) - 2*g**2 - 4*g + 4*g.
-7*g**2
Expand w**2 - 3*w**2 - w**2 + (-2*w + 4*w + 0*w + w + 3*w - 5*w + 3*w - 6*w + 5*w + (3 - 1 - 3)*(0*w - 2*w + 0*w))*(-1 - 2*w + 1) - 3*w + 3*w - 2*w**2.
-15*w**2
Expand (0*d - 2*d + 3*d)*(1 - 1 - d) + (4*d - 3*d - 33*d)*(3*d - 4*d + 2*d).
-33*d**2
Expand -2*c**3 + 2*c**3 - 2*c**3 + (0 - 2*c + 0)*(-3*c**2 + 2 + 5*c**2 - 4*c**2).
2*c**3 - 4*c
Expand (-3*z**2 - 2*z**2 - z**2)*(-4 + 4 - 3*z).
18*z**3
Expand (-8 + 26 + 32)*(3 - 3 - 2*l)*(2 + 2 - 6).
200*l
Expand (0*a - 2*a + 3*a)*(2 - 5 + 2) + 10*a + 15 - 15.
9*a
Expand 3*g**5 - 2*g**5 - 3*g**5 + 2*g**5 - 5*g**5 + 2*g**5 - 2*g**4 + g**5 + 2*g**4 - 2*g**2 - 4*g**5 + 2*g**2 + (g**2 + 6*g**2 - 5*g**2)*(-g**3 + 2 - 2).
-8*g**5
Expand (-2 + 2 + 2)*(-6 + 6 - 2)*(0 - 2 - 1)*(a**3 + a**3 - 3*a**3).
-12*a**3
Expand (-3*d + 3*d + 6*d**3)*(d - 2*d - d).
-12*d**4
Expand (0 - 1 + 0)*(7 + 5 - 20*c + 18*c).
2*c - 12
Expand 7*h**2 - 6*h**2 + 9*h**2 + (h + 0*h + h)*(0*h + h + h).
14*h**2
Expand (-2*o**3 + 2*o**3 - o**3)*(-19*o + 64*o - 28*o - 23*o).
6*o**4
Expand (-4 + 4 + 3*l**4)*(1 - 2 + 2) + 2*l + l**3 - 3*l**3 + 0*l**3 - 2*l**4.
l**4 - 2*l**3 + 2*l
Expand (8*n**2 - 5*n**2 + 2*n**2)*(-8*n**2 + 2*n - 2*n).
-40*n**4
Expand (2*n**4 + 0*n**4 + n**4)*(-4*n - 3*n + 4*n + (n + 2 - 2)*(-6 + 3 + 2)) + 2*n**5 - 7*n**5 + 2*n**5.
-15*n**5
Expand (-i**4 + 5*i**4 - 8*i**4 + (-i - 2*i + 2*i)*(3*i**3 + i**3 - 2*i**3))*(-3 + 2 + 3).
-12*i**4
Expand (-s + s - s)*(4 + 41 + 5).
-50*s
Expand (-v + 5*v - 3*v)*(5 + 3*v - 5)*(2 + 4 + 3).
27*v**2
Expand (1 - 5 + 3)*(-9 + 2 - 1)*(-3*s**5 + 3*s**5 + s**5).
8*s**5
Expand (-4*n + 4 - 2 + 0)*(-n**2 + 0*n**2 - n**2).
8*n**3 - 4*n**2
Expand s**3 - s**3 + s**4 - 3*s**4 + s**4 + 0*s**4 + (-6*s**4 + 2*s**4 + 2*s**4)*(3 - 5 + 0) - 2*s + 4*s**4 - 2*s**4 - 2*s + s**4 - 3 + 3.
6*s**4 - 4*s
Expand (2*y - 2 + 2)*(-7*y**4 + 3*y**4 + 3*y**4) + 0*y**5 + 0*y**5 + 3*y**5 - y**5 + y**5 - 3*y**5 - 3*y**5 + 4*y**5 - 2*y**5.
-3*y**5
Expand (-6 - 2 + 5)*(4 - 3 + 0)*(3*y + 0*y - 6*y).
9*y
Expand (-3*u**3 - 3*u**3 - u**3)*(13*u**2 - 20*u**2 + 11*u**2).
-28*u**5
Expand -2*h**3 - h**2 + h**2 + 4*h**2 - 4*h**2 + h**3 + (-4*h + 2*h + h)*(-2*h**2 + 0 + 0).
h**3
Expand n**4 + 23*n - 4*n**4 - 20*n - n**2 + 2*n**4 + 2*n**4 - 5*n**4 + (0 - 3 + 2)*(4*n**4 - 4*n**4 + 2*n**4) + n**3 - n**3 - n**4.
-7*n**4 - n**2 + 3*n
Expand (-m - m - 3*m)*(3*m - m - m).
-5*m**2
Expand (-2*s + 4*s - 3*s)*(2*s**2 - 6*s**2 + 3*s**2)*(-4 + 1 + 1).
-2*s**3
Expand (-2*h**4 + 3*h**4 + h**4)*(-1 + h + 1) + 3*h**5 - 4*h**2 + 4*h**2 + 2 - 2 - h**5.
4*h**5
Expand (1 + 1 + 2)*(10*g - 9*g + 14*g) + g - 4*g + 4*g.
61*g
Expand (-3 - 2*b + 3)*(-3*b - 7*b + 2*b).
16*b**2
Expand (-8*v**2 - 21*v**3 + 7*v**2 + 2*v**2)*(-5 + 4 + 0).
21*v**3 - v**2
Expand (2 - 2*z - 2)*(5 - 1 - 1)*(4*z + 0*z - 4 - z).
-18*z**2 + 24*z
Expand (-5 + 4 - 5)*(-2*g**3 + 8 - 8).
12*g**3
Expand (-y - 2*y + y)*(-1 - 1 + 1) + (3 + 2 - 4)*(6*y - y - y) - 5*y + y + y.
3*y
Expand (0 + 3 - 1)*(0*l**2 - 2*l**2 + 0*l**2 - 2*l - l**2 + 2*l + (2*l - 4*l + l)*(-3*l - 2*l + 3*l) - 2*l**2 + 4*l**2 - 4*l**2 - 3 - l**2 + 3).
-8*l**2
Expand ((-3 + 4 - 2)*(5 - 4 - 3) + 4 - 4 + 2)*(4*w + 3*w - 6*w).
4*w
Expand (b + 0*b - 3*b)*(8 + 0 + 0 + (-2 + 0 + 1)*(1 + 1 + 0)).
-12*b
Expand (28*t**2 + 51*t - 51*t)*(2*t + 3 - 3).
56*t**3
Expand (-2*i**2 + 0 + 0)*(-1 + 4 - 1) - 2*i**2 + 2*i**2 + 2*i**2 + (-2*i - i + i)*(1 + i - 1) + i**2 + 0*i**2 - 2*i**2 - i**2 - 2*i**2 + i**2.
-7*i**2
Expand (6*b + 7 + 14 - 19)*(2 + b - 2 + (0 - 1 - 1)*(-b + 4*b - 5*b)).
30*b**2 + 10*b
Expand -k**5 + 3*k**5 + 2*k**5 + (4*k - 5*k + 2*k)*(-k**4 + k**4 + k**4).
5*k**5
Expand -z + z + z**5 + (-3 + 0 - 1 + (-4 - 1 + 3)*(5 - 3 - 3))*(2*z**2 - 2*z**2 + 3*z**5).
-5*z**5
Expand (-2*r + 1 - 1)*(r + 3*r - 3*r) + (-4 + 1 - 8)*(-3 + 3*r**2 + 3 - 1).
-35*r**2 + 11
Expand (3*j - 3*j + j**2)*(3 - 2 + 0) + 216 - 218 + 0*j**2 + 3*j**2.
4*j**2 - 2
Expand (1 - 2*u - 1)*(10 - 4 + 6) + 3*u - 3*u - 2*u - 4*u + 2*u + 4*u.
-24*u
Expand 2*q**2 - 4*q**2 - q**2 + (-2*q + 0 + 0)*(-3*q + 4*q - 3*q) + (2 - 1 + 1)*(-4*q**2 + 16*q**2 + 4*q**2).
33*q**2
Expand (-6 - 15 - 19)*(1 - 1 - f).
40*f
Expand (-2*h + 0*h + 0*
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0.
n*(n - 2)*(n + 6)/5
Suppose 3*b = -0*b + 3*w - 6, 0 = -w + 3. Let b + 2*p**2 - p**3 + 343*p - 336*p + 3 = 0. What is p?
-1, 4
Factor 1008 + 1200/7*g + 4/7*g**2.
4*(g + 6)*(g + 294)/7
Let h(g) be the third derivative of -g**6/60 + 11*g**5/6 + 113*g**4/12 + 19*g**3 + 939*g**2. Find q, given that h(q) = 0.
-1, 57
Let o(y) = y**3 - 7*y**2 + 4. Let p be o(7). Let h be (0/4)/(2 + -4). Suppose -3*q**4 - 8*q**2 + q**4 + 8*q**3 + h*q**p = 0. Calculate q.
0, 2
Let u(h) be the first derivative of 6*h**3/5 - 71*h**2/5 + 112*h/5 + 550. Factor u(j).
2*(j - 7)*(9*j - 8)/5
Factor 2294/17*j - 8214/17 + 2/17*j**3 + 142/17*j**2.
2*(j - 3)*(j + 37)**2/17
Let d be (-2)/3 - 70/(-6). What is i in -20 + 14 + 3*i**3 - 6*i**2 - 2*i**3 + d*i = 0?
1, 2, 3
Let s(m) = 2*m**4 + m**3 + m**2 - 2*m - 1. Let w(b) = -3*b**4 + 75*b**3 - 82*b**2 - 152*b + 2. Let l(o) = 10*s(o) + 5*w(o). Factor l(h).
5*h*(h - 2)*(h + 1)*(h + 78)
Suppose 40*t + 19*t = -279*t. Let j(p) be the third derivative of 1/80*p**5 + 17*p**2 + 0*p - 3/16*p**4 + 9/8*p**3 + t. Factor j(o).
3*(o - 3)**2/4
Suppose 4*l = 288 + 1404. Suppose -430*d + l*d = 0. Factor d + 2/7*m**4 + 6/7*m**2 + 10/7*m**3 - 18/7*m.
2*m*(m - 1)*(m + 3)**2/7
Let t = 1935/16 - 1905/16. Let k(u) be the first derivative of -1/2*u**5 + 25/4*u**2 + 15/2*u**3 + 0*u + t*u**4 - 9. Find c, given that k(c) = 0.
-1, 0, 5
Let p be (-110)/3*(-63288)/45. Factor -48*h - p + 51568 - 28*h**3 + 64*h**2 + 4*h**4.
4*h*(h - 3)*(h - 2)**2
Let g(j) = j**3 + 54*j**2 - 2207*j + 542. Let u be g(27). Factor 3/2*k + 75/2*k**u - 3/2*k**3 - 75/2.
-3*(k - 25)*(k - 1)*(k + 1)/2
Let p be (7/3)/(26/468). Let 6*o**3 - 1080 + 540*o + p*o**2 - 132*o**2 + 5*o**3 - 6*o**3 = 0. Calculate o.
6
Let j = 29118 + -262061/9. Let n(f) be the first derivative of 7 - 4/9*f - 2/9*f**2 + j*f**4 + 4/27*f**3. Factor n(v).
4*(v - 1)*(v + 1)**2/9
Let s = 2697 + -2691. Let p(w) be the second derivative of 3/230*w**5 + 2/345*w**s + 1/138*w**4 + 21*w + 0*w**2 + 0 + 0*w**3. Determine d so that p(d) = 0.
-1, -1/2, 0
Factor -72 - 248/7*s + 2/7*s**2.
2*(s - 126)*(s + 2)/7
Suppose -111 = 29*v + 10503. Let p be (-4)/6*v/122. Factor 2/7*q**4 - 4/7*q - 2/7*q**p + 0 + 4/7*q**3.
2*q*(q - 1)*(q + 1)*(q + 2)/7
Let p(o) be the first derivative of 9*o**5/25 + 87*o**4/20 + 13*o**3 - 15*o**2/2 - 3691. Factor p(w).
3*w*(w + 5)**2*(3*w - 1)/5
Let w(z) be the third derivative of -7*z**4/24 + 53*z**3/6 - 32*z**2. Let l be w(7). Factor 157*v + 2*v**3 - 169*v - 36*v**l + 68*v**2 - 86*v**3.
-4*v*(v + 3)*(3*v - 1)**2
Suppose 0 = 8*a - 12*a + 56. Suppose 3*f = 3*u - 12, a = 4*u + 2*f - 8. Suppose 835*n**2 - 843*n**2 + 8*n**4 - 6*n**3 - 2*n**u + 8*n + 0*n**5 = 0. What is n?
-1, 0, 1, 2
Suppose -21*t + 88*t - 158 = -12*t. What is q in -3/7*q**t + 18 + 3/7*q = 0?
-6, 7
Factor -2*s**2 + 3770/7*s - 1076/7.
-2*(s - 269)*(7*s - 2)/7
Let n = 90 + -58. Let m = n - 30. Factor -44*p**m + 2*p**5 + 2 + 12*p**4 + 20*p**3 + 23*p**2 + 41*p**2 + 10*p - 2*p**4.
2*(p + 1)**5
Let v be 22/(-4)*(3 + -5) + -11. Let x(l) be the third derivative of 19*l**2 + v*l - 1/105*l**7 - 5/6*l**4 - l**3 - 2/5*l**5 - 1/10*l**6 + 0. Factor x(y).
-2*(y + 1)**3*(y + 3)
Solve 1142/5*a - 2/15*a**2 - 3424/15 = 0 for a.
1, 1712
Let l(i) = 35*i**4 - 8160*i**3 - 8345*i**2 + 50*i - 150. Let q(z) = 2*z**4 - 480*z**3 - 491*z**2 + 3*z - 9. Let a(c) = -3*l(c) + 50*q(c). Factor a(m).
-5*m**2*(m - 97)*(m + 1)
Let s be ((-301)/8729)/((-11)/29). Factor -s*n**2 + 12/11*n - 36/11.
-(n - 6)**2/11
Let a = 173 + -149. Let b = -24 + a. Factor 2/7*x**3 + b*x + 0 + 2/7*x**2.
2*x**2*(x + 1)/7
Let t(y) = -64*y**2 + 844*y - 232. Let f(s) = 3*s**2 - 2*s. Suppose 52 = -4*r + m, 0 = 5*r + 5*m - 1 + 41. Let g(x) = r*f(x) - t(x). Factor g(q).
4*(q - 29)*(7*q - 2)
Let j be (-6216)/24 + 12/3. Let i = j - -260. Factor 2/7*y**2 + 2*y**4 + 6/7*y**i + 0*y + 10/7*y**3 + 0.
2*y**2*(y + 1)**2*(3*y + 1)/7
Let n be 15 - (2 + 7 - 1)/2. Let i be (-11 + n)*(-4)/((-24)/(-3)). Factor -1/2*o**5 + 0*o + 0*o**2 + i + 1/3*o**3 - 5/6*o**4.
-o**3*(o + 2)*(3*o - 1)/6
Suppose 55 = -5*b + q, -3*q + 28 = -2*b - 7. Let p be 35/b*-2 - (-10)/(-2). Factor 0*k + 1/3*k**p - 1/3.
(k - 1)*(k + 1)/3
Let p(j) = -j**3 + 13*j**2 - 25*j - 28. Let u be p(12). Let d = u + 373/2. Factor 0 - 10/3*h**2 + 5/6*h**3 + d*h.
5*h*(h - 3)*(h - 1)/6
Determine f, given that -14*f**3 - 10/7*f**5 + 8/7*f**2 + 76/7*f**4 + 0 + 24/7*f = 0.
-2/5, 0, 1, 6
Let x(g) be the first derivative of -12*g**2 + 4 - 1/5*g**3 + 0*g - 1/450*g**5 - 1/30*g**4. Let h(a) be the second derivative of x(a). Factor h(u).
-2*(u + 3)**2/15
Let b(p) = 10*p**2 + 1045*p + 1040. Let m(z) = 19*z**2 + 2091*z + 2081. Let f(a) = 9*b(a) - 5*m(a). Factor f(o).
-5*(o + 1)*(o + 209)
Let r(g) be the first derivative of 2*g**6/3 + 36*g**5/5 + 7*g**4 - 92*g**3 - 304*g**2 - 336*g - 3257. Solve r(j) = 0 for j.
-7, -2, -1, 3
Let o(k) be the first derivative of -2*k**3/3 + 57*k**2 - 112*k + 1272. Determine j, given that o(j) = 0.
1, 56
Let p(r) be the second derivative of 11*r**4/30 + 14*r**3/15 - 24*r**2 - 1188*r. Factor p(s).
2*(s + 4)*(11*s - 30)/5
Let q = -1465229 + 1465231. Solve -495*h - 5/2*h**q - 49005/2 = 0 for h.
-99
Let f(x) be the third derivative of 1/30*x**6 - 1/210*x**7 + 0*x**3 + 45*x**2 + 0*x**4 - 1/20*x**5 + 0 + 0*x. Solve f(m) = 0.
0, 1, 3
Suppose -98 - 1/2*x**3 - 53/2*x**2 - 100*x = 0. What is x?
-49, -2
Let g = 30547 - 153606/5. Let b = 175 + g. Let -16/5 + b*c**2 - 16/5*c + 4/5*c**3 = 0. What is c?
-2, -1, 2
Suppose 0 = 121*q - 64*q - 61*q - 4, 4*s = 2*q + 2. Determine o, given that 2/3*o**3 + 8/3*o**2 + 8/3*o + s = 0.
-2, 0
Determine i, given that 1120*i**2 - 8*i**4 - 387*i - 16*i**5 - 36 + 236*i**3 + 1411*i + 4*i**4 + 228 + 148*i**3 = 0.
-2, -1/4, 6
Let w(b) = b**3 - 16*b**2 - b - 4. Let a(i) = -7*i - 41. Let x be a(-6). Let q(h) = 3*h**2 + h + 1. Let f(s) = x*w(s) + 4*q(s). Suppose f(y) = 0. Calculate y.
0, 1, 3
Let m be 2/4*(16/(-6))/(7636/(-22410)). Suppose -6*t - 50/23*t**2 + 36/23 + m*t**3 + 54/23*t**4 + 8/23*t**5 = 0. Calculate t.
-3, -2, 1/4, 1
Suppose 3*d + 4*c - 22 = -0*d, -4*d + 4*c + 20 = 0. Suppose d*g + 3*g - 18 = 0. Factor -14 - 35 + 6*n**3 - 63*n + 0*n**g - 15*n**2 - 7*n**3.
-(n + 1)*(n + 7)**2
Determine p so that -291 - 1167/2*p + 9/8*p**4 - 303/4*p**2 + 1743/8*p**3 = 0.
-194, -1, -2/3, 2
Let 0 + 2/13*q**5 - 800/13*q - 80/13*q**2 + 798/13*q**3 + 80/13*q**4 = 0. What is q?
-20, -1, 0, 1
Suppose 4*s + f + 1 = 0, 4*s + 0*s = -3*f - 11. Let i be ((-30)/45*1)/(s/(-3)). Suppose -12 - 12*g**4 - 3/2*g**5 - 75/2*g**3 - 57*g**i - 42*g = 0. Calculate g.
-2, -1
Let b(c) be the second derivative of c**4/3 - 176*c**3/3 - 178*c**2 + 255*c + 7. What is d in b(d) = 0?
-1, 89
Find l such that 4/3*l**3 + 1916/3*l + 424 + 216*l**2 = 0.
-159, -2, -1
Let s = -24614/27 + 123178/135. Factor -s*z**2 + 176/5*z + 0.
-4*z*(z - 44)/5
Factor 3*r**3 + 3*r**3 + 19*r**2 + 50 + 18 - 143*r**2 + 166*r + 12*r**2.
2*(r - 17)*(r - 2)*(3*r + 1)
Factor -22162968 - 346585324*h - 669573*h**3 - 2986*h**4 - 2*h**5 - 818447*h**3 - 223363978 - 130172644*h - 15777978*h - 248494036*h**2.
-2*(h + 1)**2*(h + 497)**3
Solve -357/4*r**2 + 705/4*r - 351/4 + 3/4*r**3 = 0.
1, 117
Factor 2/7*a**5 + 40/7*a**2 + 8/7 - 20/7*a**3 - 30/7*a + 0*a**4.
2*(a - 1)**4*(a + 4)/7
Suppose 330667 = 5033*j - 295485 - 506273. Factor -69/4*x**2 + 3/4*x**3 + 120*x - j.
3*(x - 10)**2*(x - 3)/4
Let i(o) = -o**3 + 3*o**2 - 4*o. Let d(t) = -t**4 + 80*t**3 + 357*t**2 - 12*t. Let w(u) = d(u) - 3*i(u). Suppose w(j) = 0. Calculate j.
-4, 0, 87
Suppose 2/13*l**2 + 528/13 - 530/13*l = 0. Calculate l.
1, 264
Let z(y) = -47*y**2 + 72*y - 25. Suppose 2*p + 3 = 3*x, 2*x - 3*p = 5 + 2. Let h(g) = -g**2 - g. Let r(a) = x*z(a) - 2*h(a). Factor r(n).
(7*n - 5)**2
Let y(p) = p**3 - 1511*p**2 - 21*p + 7. Let n(r) = r**3 - 755*r**2 - 9*r + 3. Let k(s) = 7*n(s) - 3*y(s). Factor k(m).
4*m**2*(m - 188)
Let x(c) be the first derivative of -4/5*c**5 + 0*c**2 + 0*c - 1/8*c**6 + 162 + 7/6*c**3 + 37/16*c**4. Suppose x(f) = 0. Calculate f.
-7, -1/3, 0, 2
Let q(n) = -2*n**3 - 10*n**2 - 19*n - 12. Let r be q(-4). Factor r*y**2 + 693*y + 4*y**2 + 820 + 204 - 309*y + y**3.
(y + 4)*(y + 16)**2
Let m(n) be the third derivative of -n**6/1440 - n**5/160 - 3*n**3 - 11*n**2 + 7. Let k(x) be the first derivative of m(x). Determine l, given that k(l) = 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
?
83188800
Calculate the lowest common multiple of 1 and 3257805.
3257805
What is the common denominator of -95/224 and -69/495772?
27763232
What is the lowest common multiple of 696473 and 7661203?
7661203
What is the smallest common multiple of 12840024 and 546384?
25680048
What is the least common multiple of 2128 and 66?
70224
Find the common denominator of -51/424 and 89/153539092.
307078184
Calculate the least common multiple of 14806374 and 562980.
148063740
Find the common denominator of 99/73664 and -93/189440.
218045440
Calculate the common denominator of -77/1022260 and 111/25880.
2044520
Calculate the smallest common multiple of 237541 and 289.
4038197
What is the smallest common multiple of 15686 and 76659?
4752858
What is the smallest common multiple of 2176 and 6391184?
51129472
Calculate the common denominator of -109/9951978 and 131/79615824.
79615824
Calculate the common denominator of 113/24588 and 7/1129776.
2314911024
Calculate the smallest common multiple of 141 and 11839083.
556436901
What is the lowest common multiple of 355356 and 283?
100565748
Calculate the smallest common multiple of 1296680 and 261744120.
1832208840
What is the common denominator of -127/2328 and 143/1602828?
3205656
Calculate the lowest common multiple of 838780 and 42.
17614380
What is the common denominator of 41/4 and 83/1545832?
1545832
Calculate the lowest common multiple of 14000226 and 28956.
28000452
Find the common denominator of -55/9832124 and -21/212.
521102572
What is the common denominator of 113/262835820 and -89/51106965?
1839850740
What is the smallest common multiple of 9277 and 190216?
1764633832
What is the least common multiple of 829034880 and 22?
9119383680
What is the least common multiple of 40 and 13754153?
550166120
Find the common denominator of 123/425590 and -20/28046381.
280463810
Calculate the smallest common multiple of 1036 and 1092784.
40433008
Calculate the common denominator of -121/512676 and -59/1014.
86642244
What is the least common multiple of 855518 and 215956?
22243468
Calculate the least common multiple of 8723 and 66352.
4047472
What is the common denominator of 17/50958 and -91/73302?
32765994
What is the common denominator of 91/1556838 and 125/2826?
244423566
What is the least common multiple of 6850446 and 929?
6850446
Calculate the common denominator of 61/8604232 and 16/117.
77438088
Calculate the common denominator of -19/255 and -92/7150425.
121557225
What is the smallest common multiple of 2289 and 92214?
645498
What is the common denominator of 13/4396 and 7/5485580?
38399060
What is the common denominator of 64/41607483 and -5/117?
1622691837
What is the common denominator of 25/12217849 and 59/6185?
61089245
Calculate the smallest common multiple of 1156 and 14703.
16996668
Find the common denominator of -13/10167980 and 31/4067192.
20335960
Calculate the common denominator of -25/20169108 and -55/32494674.
584904132
Calculate the common denominator of 15/44678764 and 59/16.
178715056
What is the common denominator of 31/3345 and 65/316437?
1582185
Find the common denominator of 109/6 and -91/114738618.
114738618
What is the common denominator of -41/6815 and -103/248530?
11680910
Find the common denominator of -57/216865 and 35/18194.
358694710
Find the common denominator of 49/430050 and 13/117575670.
587878350
Find the common denominator of 25/1585044 and -51/38.
30115836
What is the common denominator of -35/1422672 and 7/161473272?
322946544
Calculate the smallest common multiple of 19326 and 166158.
535194918
Calculate the common denominator of -199/330 and -29/1093935.
24066570
Calculate the smallest common multiple of 10417 and 14136.
147254712
Calculate the common denominator of 31/232 and 26/20674361.
165394888
What is the common denominator of -28/3091313 and -39/407?
34004443
What is the smallest common multiple of 1342640 and 15492?
4027920
What is the common denominator of 31/3039328 and 91/6512?
33432608
Calculate the lowest common multiple of 38361960 and 4095.
38361960
What is the common denominator of -19/2576 and 15/35144?
492016
Calculate the lowest common multiple of 133713 and 3466872.
287750376
What is the common denominator of -109/12 and -13/29901996?
29901996
What is the common denominator of 131/2451276 and 61/120?
24512760
Calculate the common denominator of 25/442453 and 113/1914.
2654718
What is the common denominator of -101/1127392 and -62/77?
12401312
What is the least common multiple of 85590486 and 28530162?
85590486
What is the smallest common multiple of 1564010 and 420?
9384060
Find the common denominator of -51/66326 and -53/28127326.
365655238
Calculate the lowest common multiple of 25108560 and 65282256.
326411280
Calculate the smallest common multiple of 13932 and 77787.
933444
Calculate the smallest common multiple of 9608641 and 32943912.
230607384
Calculate the least common multiple of 183117 and 45229899.
45229899
What is the common denominator of -13/72577165 and -28/5?
72577165
What is the least common multiple of 690 and 29153673?
291536730
What is the smallest common multiple of 11335440 and 4534176?
22670880
Find the common denominator of -52/1043 and -34/7301.
7301
Calculate the least common multiple of 443226 and 538203.
7534842
What is the least common multiple of 8528 and 1330778?
138400912
Calculate the least common multiple of 6272005 and 2508802.
12544010
Find the common denominator of 83/2204226 and 57/8.
8816904
Calculate the common denominator of -73/11689488 and -29/649416.
11689488
Calculate the smallest common multiple of 209576 and 323.
3981944
Calculate the least common multiple of 430 and 706920.
706920
Calculate the lowest common multiple of 650 and 29623880.
148119400
What is the lowest common multiple of 13265 and 4499488?
22497440
Calculate the smallest common multiple of 8 and 1213868.
2427736
Calculate the common denominator of -43/4 and 51/131463214.
262926428
Find the common denominator of -71/8126 and -1/27671898.
470422266
What is the least common multiple of 1058070 and 1904526?
9522630
Calculate the lowest common multiple of 409728 and 5864232.
93827712
Calculate the common denominator of -9/200 and -27/1070710.
21414200
Calculate the common denominator of 34/43475859 and -61/21.
43475859
What is the common denominator of -71/1636400 and 67/880?
18000400
What is the lowest common multiple of 3965 and 1295213?
84188845
Calculate the lowest common multiple of 1364448 and 216.
12280032
What is the least common multiple of 10270 and 2519140?
199012060
What is the least common multiple of 1587955 and 25089689?
125448445
What is the least common multiple of 210 and 17178?
85890
Calculate the lowest common multiple of 10908270 and 3999699.
119990970
What is the least common multiple of 2652850 and 31990250?
543834250
What is the common denominator of 28/61685941 and 75/8?
493487528
Find the common denominator of 25/5730956 and 37/4.
5730956
What is the smallest common multiple of 6858 and 3744?
1426464
Calculate the common denominator of -33/140 and 75/5939164.
29695820
Find the common denominator of -25/112 and 79/231216.
1618512
What is the lowest common multiple of 10364172 and 265748?
10364172
Calculate the lowest common multiple of 22274 and 1823458.
67467946
What is the lowest common multiple of 251832 and 1427048?
4281144
What is the common denominator of -40/5636779 and -75/26?
146556254
Calculate the smallest common multiple of 1726412 and 98.
84594188
What is the lowest common multiple of 161772 and 453596?
23133396
What is the least common multiple of 96 and 27300704?
81902112
Calculate the lowest common multiple of 166865832 and 1620.
834329160
What is the lowest common multiple of 11498800 and 2720?
22997600
What is the least common multiple of 865 and 620315?
107314495
Calculate the smallest common multiple of 8442 and 45560.
2870280
Calculate the smallest common multiple of 69541122 and 11.
764952342
Calculate the lowest common multiple of 8233932 and 65238.
1078645092
Calculate the common denominator of -129/39730580 and 63/158922320.
158922320
What is the common denominator of -79/524353935 and -40/104870787?
524353935
What is the least common multiple of 5728 and 1416?
1013856
What is the common d
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) = -960*a - 66. Calculate l(0).
-66
Let z(c) = c**3 - 13*c**2 + 60*c - 89. What is z(5)?
11
Let m(k) = -k**2 + 26*k - 24. Determine m(25).
1
Let f(c) = -15*c**2 - 77*c. Calculate f(-6).
-78
Let h(i) = -3*i**3 + 9*i**2 - 11*i - 17. Calculate h(2).
-27
Let b(c) = c**3 + 48*c**2 + 32*c - 123. What is b(-47)?
582
Let i(n) = 3*n**2 - 122*n + 246. Calculate i(2).
14
Let p(d) = -3*d**2 - 118*d - 1177. Determine p(-19).
-18
Let z(n) = -1525*n - 39668. What is z(-26)?
-18
Let h(r) = -31*r**2 + 131*r + 17. Calculate h(4).
45
Let y(w) = -23*w - 696. Give y(-17).
-305
Let n(x) = 6*x**2 + 137*x - 15. Give n(-23).
8
Let o(y) = -y**3 - 23*y**2 - 15*y - 349. Give o(-23).
-4
Let c(y) = 2*y**3 + 133*y**2 + 540*y - 1113. What is c(-62)?
3
Let t(z) = 50*z - 971. Give t(20).
29
Let f(b) = 1129*b + 10165. Determine f(-9).
4
Let u(a) = -60*a**3 + 24*a**2 + 24*a - 1. Determine u(-1).
59
Let t(x) = 157*x - 1891. Give t(12).
-7
Let f(n) = 2*n**3 - 195*n**2 - 104*n + 603. Determine f(98).
15
Let a(l) = 42*l + 596. Give a(-14).
8
Let b(w) = -90*w + 4239. Give b(47).
9
Let d(g) = g**2 + 22*g - 103. Calculate d(-33).
260
Let s(v) = -211*v + 2092. Give s(10).
-18
Let m(k) = -291*k + 2318. Determine m(8).
-10
Let y(d) = d**2 + 4*d - 231. Determine y(-17).
-10
Let c(r) = -37*r + 1992. Calculate c(54).
-6
Let z(f) = -f**2 - 43*f + 128. Give z(-46).
-10
Let c(n) = 3*n**2 - 42*n - 41. Calculate c(18).
175
Let n(v) = v**3 + 17*v**2 + 73*v + 33. Calculate n(-7).
12
Let n(x) = x**3 + 132*x**2 + 3868*x - 181. Calculate n(-44).
-5
Let a(l) = 415*l - 8269. What is a(20)?
31
Let g(a) = a**2 + 886*a - 34180. Determine g(37).
-29
Let k(g) = -930*g + 59516. Determine k(64).
-4
Let j(o) = -129*o + 1197. What is j(9)?
36
Let k(h) = 201*h + 800. Give k(-4).
-4
Let x(q) = -q**3 + 10*q**2 + 338*q - 20. Determine x(24).
28
Let f(z) = -1784*z + 19650. What is f(11)?
26
Let w(f) = -29*f**2 - 20*f - 102. Calculate w(-4).
-486
Let o(p) = -2*p**2 + 5*p + 105. Calculate o(0).
105
Let d(p) = -p**3 - 13*p**2 - 17*p - 16. Calculate d(-11).
-71
Let n(z) = z**3 + 2*z - 7. Calculate n(2).
5
Let p(t) = -15*t**2 - 227*t + 216. Give p(-16).
8
Let s(b) = -2*b**3 - 13*b**2 + 38*b + 241. Calculate s(-7).
24
Let r(g) = 59*g + 179. What is r(0)?
179
Let a(u) = -30*u - 13. Calculate a(1).
-43
Let s(n) = 16*n**2 - 301*n - 1773. What is s(-6)?
609
Let n(s) = -8*s**3 - 7*s**2 + s + 10. Determine n(3).
-266
Let u(p) = 33*p - 165. What is u(8)?
99
Let t(v) = 99*v + 597. Calculate t(-6).
3
Let h(w) = 3*w**2 + 49*w - 321. Calculate h(-21).
-27
Let i(p) = 144*p + 4053. What is i(-28)?
21
Let u(v) = 546*v - 3857. Determine u(7).
-35
Let l(u) = 3*u + 65. Give l(-23).
-4
Let t(u) = -3*u**3 + 79*u**2 - 71*u + 1176. Give t(26).
6
Let b(t) = t**3 + 28*t**2 - 503*t - 13700. What is b(-29)?
46
Let f(m) = 50*m + 272. Calculate f(3).
422
Let q(w) = -196*w - 9986. Determine q(-51).
10
Let o(h) = -2*h**2 - 4*h + 15. Calculate o(7).
-111
Let w(x) = 18*x**3 + 32*x**2 + 30*x - 2. Give w(-1).
-18
Let h(s) = s**2 - 13*s + 44. Give h(5).
4
Let p(f) = 9*f**3 + 96*f**2 - 39*f - 70. Give p(-11).
-4
Let n(v) = v**2 + 55*v + 660. What is n(-17)?
14
Let n(w) = 3*w**3 - 47*w**2 - 3*w + 374. Determine n(15).
-121
Let f(w) = 186*w - 900. Determine f(5).
30
Let x(q) = q**3 + 42*q**2 - 186*q - 44. Determine x(-46).
48
Let v(y) = -4*y**2 - 118*y + 235. Determine v(2).
-17
Let w(m) = -951*m - 5681. What is w(-6)?
25
Let o(w) = -331*w + 302. What is o(1)?
-29
Let q(z) = 6*z**2 - 55*z - 2. Determine q(9).
-11
Let m(d) = 13*d - 502. Give m(41).
31
Let f(n) = -2*n**2 + 270*n + 814. Calculate f(-3).
-14
Let f(z) = 1408*z - 43633. Give f(31).
15
Let k(l) = 8*l**2 - 98*l + 6. Determine k(9).
-228
Let m(i) = 9*i**2 + 454*i - 740. Give m(-52).
-12
Let t(g) = -895*g - 15185. Give t(-17).
30
Let k(a) = -8*a**2 - 16*a + 41. Give k(-3).
17
Let t(h) = 10*h**3 + 52*h**2 - 340*h - 1753. Give t(-5).
-3
Let j(d) = -d**2 - 11*d + 132. Calculate j(7).
6
Let j(u) = -20*u**2 - u + 5. Calculate j(-2).
-73
Let d(i) = i - 40. Give d(-8).
-48
Let v(a) = a**3 + 13*a**2 - 36*a - 97. Give v(-15).
-7
Let m(u) = u**3 - 2*u**2 - 10*u + 7. Give m(-2).
11
Let d(h) = 127*h - 1022. Give d(8).
-6
Let m(d) = -d**3 - 144*d**2 + 889*d - 1644. Give m(-150).
6
Let v(p) = -2*p**2 + 113*p + 548. What is v(61)?
-1
Let m(l) = -3*l**3 - 87*l**2 - 27*l - 44. Give m(-29).
739
Let t(f) = -f**2 - 37*f - 9. What is t(-37)?
-9
Let y(r) = -570*r + 3373. Give y(6).
-47
Let x(v) = -v**3 - 56*v**2 - 55*v + 14. What is x(-55)?
14
Let k(f) = 539*f - 25868. What is k(48)?
4
Let b(s) = -464*s**2 + 2325*s - 19. Determine b(5).
6
Let y(b) = 136*b - 45680. Give y(336).
16
Let u(x) = -x**3 + 28*x**2 - 37*x - 408. What is u(26)?
-18
Let m(g) = -824*g + 9059. What is m(11)?
-5
Let r(i) = 11*i - 195. Determine r(17).
-8
Let a(z) = -63*z**2 + 666*z + 303. Give a(11).
6
Let z(o) = o**3 - 36*o**2 - 54*o - 172. What is z(38)?
664
Let z(p) = 18*p**3 + 109*p**2 - 9*p - 90. Calculate z(-6).
0
Let p(k) = -20*k + 146. Calculate p(8).
-14
Let u(p) = 23*p**2 + 1057*p - 34. Calculate u(-46).
12
Let k(w) = -371*w + 1314. Give k(3).
201
Let w(h) = h**3 - h**2 + 2*h. Give w(-3).
-42
Let f(i) = i**3 - 70*i**2 + 64*i + 540. Calculate f(69).
195
Let r(i) = i**3 - 22*i**2 - 24. What is r(22)?
-24
Let q(j) = -136*j + 54. Calculate q(1).
-82
Let c(m) = -2*m**3 - 56*m**2 + 58*m - 12. Calculate c(-29).
-12
Let i(t) = 2*t**2 + 38*t - 328. Calculate i(-28).
176
Let v(t) = -t**2 - 105*t - 168. What is v(-103)?
38
Let z(n) = n**2 - 38*n + 293. Give z(17).
-64
Let j(g) = 4*g - 22. Give j(41).
142
Let y(z) = -z**3 - 6*z**2 + 56*z + 258. What is y(-4)?
2
Let i(y) = 5*y**2 - 124*y - 429. Determine i(-3).
-12
Let t(j) = -j**3 + 37*j**2 - 106*j + 117. What is t(34)?
-19
Let i(h) = -672*h - 28893. Calculate i(-43).
3
Let q(h) = -859*h - 139162. Calculate q(-162).
-4
Let l(b) = -5*b**2 - 1045*b + 22912. Calculate l(20).
12
Let f(n) = 2*n**3 + 139*n**2 - 280*n + 3. Determine f(2).
15
Let d(c) = -2*c**3 - 164*c**2 - 163*c + 6. Calculate d(-81).
87
Let u(a) = 292*a - 6719. Calculate u(23).
-3
Let a(m) = -2492*m + 14958. Calculate a(6).
6
Let d(z) = 103*z + 1098. Give d(-11).
-35
Let q(v) = -5*v**2 - 39*v - 108. Calculate q(-6).
-54
Let j(t) = -t**3 - t**2 + 19. Determine j(0).
19
Let b(y) = 2*y**3 - 12*y**2 - 103*y + 4. Determine b(-5).
-31
Let t(p) = 8*p**2 - 40*p - 8. Calculate t(6).
40
Let y(j) = -j**2 - 134*j - 389. Determine y(-131).
4
Let f(j) = j**3 + 16*j**2 + 37*j - 23. Give f(-13).
3
Let s(w) = 343*w + 33261. What is s(-97)?
-10
Let z(o) = o**3 - 156*o**2 + 138*o + 2619. Calculate z(155).
-16
Let s(d) = -286*d + 915. What is s(3)?
57
Let q(y) = 48*y - 603. Determine q(13).
21
Let h(k) = -94*k - 884. Calculate h(-8).
-132
Let r(c) = -2*c**3 - 148*c**2 - 142*c + 297. Determine r(-73).
5
Let t(i) = -10278*i - 30829. Determine t(-3).
5
Let a(j) = j**3 + 3*j**2 - 22*j - 49. What is a(-7)?
-91
Let p(q) = -3*q**2 - 41*q - 1. Calculate p(-11).
87
Let u(f) = -2*f - 48. Determine u(50).
-148
Let k(g) = g**2 + 3*g - 306. Calculate k(-19).
-2
Let o(r) = r**3 + 50*r**2 - 63*r - 619. Determine o(-51).
-7
Let m(c) = 3*c**2 - 11*c - 146. Determine m(10).
44
Let j(o) = -78*o - 794. Give j(-10).
-14
Let v(h) = 2*h**3 - 52*h**2 + 316*h - 6. Give v(9).
84
Let o(y) = -y**3 + 9*y**2 - 163*y + 1242. Determine o(8).
2
Let v(y) = -3*y**2 + 120*y - 348. Calculate v(41).
-471
Let k(p) = -118*p - 795. Determine k(-7).
31
Let u(g) = g**2 + g - 15. Determine u(-4).
-3
Let u(w) = -w**3 - 69*w**2 + 73*w + 468. Determine u(-70).
258
Let x(m) = -m**3 - 92*m**2 - 1220*m - 291. Give x(-76).
13
Let i(b) = 6*b**3 - b**2 + 4280*b + 4282. What is i(-1)?
-5
Let l(r) = r**3 + 74*r**2 + 134*r - 281. Give l(-72).
439
Let l(a) = -17*a + 506. Give l(39).
-157
Let f(c) = -c**3 - 236*c**2 - 3917*c + 1525. Give f(-218).
-1
Let z(f) = -1373*f + 9606. What is z(7)?
-5
Let l(t) = t**3 - 11*t**2 + 13*t + 2. Give l(10).
32
Let o(m) = -2*m**3 - 56*m**2 - 145*m + 86. Determine o(-25).
-39
Let h(l) = -l**3 - 18*l**2 - 40*l - 1120. What is h(-19)?
1
Let q(t) = 248*t + 501. Determine q(-2).
5
Let p(c) = 143*c + 3450. Calculate p(-24).
18
Let d(s) = -s**3 - 2*s**2 - 4*s + 23. Calculate d(0).
23
Let v(i) = 2*i**3 - 118*i**2 - i - 31. Calculate v(59).
-90
Let r(z) = 4*z - 111. Calculate r(13).
-59
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
the third derivative of 65/2*d**3 - 7/6*d**6 + 0*d**5 + 171*d**2 + 0 + 0*d + 0*d**4. Find the first derivative of q(u) wrt u.
-420*u**2
Let g = 123 + -136. Let h = 229 + g. Differentiate 174*x - 12 - h*x + 51 with respect to x.
-42
Let w(o) = 4. Let f(g) = -25. Let i(j) = f(j) + 6*w(j). Let a(d) = -8*d**2 - 67*d + 4. Let u(n) = -a(n) - 4*i(n). Find the second derivative of u(z) wrt z.
16
Let x be (-66)/18 + 3 - (-411)/9. Suppose 5*u - x = -5*q, -3*u + 3*q + 3 = -0. Find the third derivative of 18*h**u - 15*h**2 + 2*h**2 - 50*h**5 wrt h.
-1920*h**2
Let y = 12 + -12. Suppose 4*n - 6 + 2 = y. What is the derivative of 10 - 12*b**3 - 3 + 0*b**3 + n wrt b?
-36*b**2
Let g(w) = -3129*w**3 - 7*w**2 + 1530*w + 5. Let t(h) = -3126*h**3 - 5*h**2 + 1529*h + 4. Let r(x) = -2*g(x) + 3*t(x). Find the third derivative of r(a) wrt a.
-18720
What is the first derivative of 165*s + 499 - 265*s + 256 + 209*s + 387*s wrt s?
496
Let q(y) be the third derivative of -239*y**4/24 - 82*y**3/3 - y**2 - 140. What is the derivative of q(t) wrt t?
-239
Let c(p) be the third derivative of 0*p**4 + 0*p - 300*p**2 + 0 - 77/6*p**3 - 11/30*p**7 - 1/40*p**6 + 0*p**5. What is the first derivative of c(n) wrt n?
-308*n**3 - 9*n**2
What is the third derivative of 78204*z**2 + 19*z - 20*z - 80706*z**2 - 5850*z**3 wrt z?
-35100
Let a = -3 - -5. Suppose -14*q + 26754 = -q. Find the third derivative of 2058*j - q*j - 27*j**a - 13*j**4 wrt j.
-312*j
Find the first derivative of -726 + 2*o + 2951*o**3 - 418 - 2382*o**3 wrt o.
1707*o**2 + 2
Let s(t) be the third derivative of -953*t**4/8 - 2225*t**3/6 - 502*t**2. Find the first derivative of s(z) wrt z.
-2859
Let i(f) be the third derivative of 503*f**8/112 + 208*f**4/3 - 301*f**2. Find the second derivative of i(w) wrt w.
30180*w**3
What is the second derivative of -4101*k - 30531*k**2 - 19*k**3 + 61013*k**2 - 30545*k**2 wrt k?
-114*k - 126
Let c(b) = -b + 12. Let a be c(10). Suppose -2*q = 2*l - 4, -a*l + 12 = 5*q - 1. Find the second derivative of 14*g - q - 2 + 5 + 13*g**3 wrt g.
78*g
Let x(g) be the second derivative of 0 + 204*g + 0*g**6 + 0*g**3 + 1/12*g**4 + 0*g**5 - 1/2*g**8 + 0*g**2 + 0*g**7. Find the third derivative of x(y) wrt y.
-3360*y**3
Let l be (4/5)/(414/1035). Let g(h) be the first derivative of -7*h**3 + 0*h + 9 + 0*h**4 - 3/5*h**5 + 0*h**l. Find the third derivative of g(r) wrt r.
-72*r
Suppose s = -x + 2*s, 0 = -3*s + 6. What is the second derivative of -24604*c**3 + x - 92*c - 2 + 24455*c**3 + 2*c**4 wrt c?
24*c**2 - 894*c
Let u(h) be the third derivative of -311*h**7/15 - 734*h**4/3 + 427*h**2. What is the second derivative of u(t) wrt t?
-52248*t**2
Let j(o) = 93*o**2 - 3*o - 3. Let n be j(-1). Find the first derivative of -n*s + 255 - 156 - 170 wrt s.
-93
Let t(c) be the second derivative of 7/4*c**4 + 9/10*c**6 - 1/2*c**2 + 2*c + 0*c**5 + 0*c**3 - 18. Find the third derivative of t(i) wrt i.
648*i
Let h(i) be the first derivative of -i**7/70 - 3*i**6/40 + 5*i**3 - 13*i**2/2 - i - 51. Let n(y) be the second derivative of h(y). Differentiate n(m) wrt m.
-12*m**3 - 27*m**2
Let n(p) be the first derivative of 9*p**5/5 + 3*p**4/4 - 814*p**3/3 - 25. Find the third derivative of n(g) wrt g.
216*g + 18
Suppose -3*j + 2*b + 133 = 0, 4*b + 102 = j + j. Let f = -23 + j. Differentiate -10*w + f*w**3 + 4*w + 6*w + 41 with respect to w.
54*w**2
Suppose 8*t = 5*t - 9. Let p be t/3 + -2 + (1380 - 1). Differentiate p*u + 19*u**3 - 2 - 1376*u with respect to u.
57*u**2
Find the third derivative of 279*h**2 + 26*h - 1319*h**4 + 1902*h**4 - 26*h - 57*h**2 wrt h.
13992*h
Let g(p) = -17*p**3 - 13*p. Let i = -39 + 43. Let v(n) = n**3 + 3*n - i*n + 3*n - 3*n. Let u(h) = g(h) + 4*v(h). What is the second derivative of u(m) wrt m?
-78*m
Let x(p) = 42*p. Let i be (2/2)/(0 - -1). Let g be x(i). What is the second derivative of 4*a**4 - 12*a + a + g*a wrt a?
48*a**2
What is the second derivative of 7 - 42*f + 95*f**2 - 12 + 148*f + 178*f wrt f?
190
Let h(k) be the second derivative of -3*k**4 + 7*k**3/6 + 34*k**2 - 40*k - 4. Let d(b) be the first derivative of h(b). Find the first derivative of d(j) wrt j.
-72
Let z(p) = -p + 19. Let g be z(16). What is the derivative of -16*r**3 + 161 - 11*r**g + 3*r**2 - 108 wrt r?
-81*r**2 + 6*r
Let h(m) be the first derivative of -m**6/6 - 693*m**4/4 + m**3/3 - 2247*m**2/2 - 3422. Find the third derivative of h(j) wrt j.
-60*j**2 - 4158
Let n(h) = -15*h + 62. Let t be n(4). Find the third derivative of 576*x**2 + 3*x**5 - 664*x**t - 4*x**5 + 27*x**6 wrt x.
3240*x**3 - 60*x**2
Let u(o) = -284*o - 1157. Let p(k) = 2*k + 4. Let l(j) = 6*p(j) + u(j). Differentiate l(n) with respect to n.
-272
Let j(g) be the second derivative of 1283*g**6/30 + 2859*g**2/2 - g - 42. What is the derivative of j(o) wrt o?
5132*o**3
Let c be 6*(26/(-4))/(-13). Let a(b) be the second derivative of 0*b**c + 39*b + 15*b**2 - 29/12*b**4 + 0. Differentiate a(y) with respect to y.
-58*y
Let k(n) = -23*n**2 - n + 45. Let f(i) = -18 - 133*i**2 - 98*i**2 + 209*i**2 + 62. Let s(l) = 3*f(l) - 2*k(l). Find the second derivative of s(c) wrt c.
-40
Let y(c) be the second derivative of -679*c**5/20 + c**4/6 + 503*c**3/6 + 2*c + 1000. Find the third derivative of y(w) wrt w.
-4074
Let w(t) be the first derivative of -t**6/3 + 11*t**5/5 - 9*t**4/2 + 39*t**3 - 7*t**2/2 - 12226. Find the third derivative of w(a) wrt a.
-120*a**2 + 264*a - 108
Let u be 2*-2*(13 + (-324)/24). Find the third derivative of -131*i**3 + 88*i - 4*i**u - 38*i**2 - 88*i wrt i.
-786
Let w(z) be the third derivative of -11*z**7/840 + 49*z**4/24 - z**3/6 + 10*z**2 - 2. Let u(n) be the first derivative of w(n). Differentiate u(l) wrt l.
-33*l**2
Let d(c) be the second derivative of 1597*c**5/10 - 4655*c**2/2 - 5077*c. Differentiate d(t) wrt t.
9582*t**2
Let q(z) be the third derivative of 905*z**9/168 + 7*z**5/20 + z**4/24 + 15*z**2 + 70*z. Find the third derivative of q(f) wrt f.
325800*f**3
Suppose 12*m = 20*m - 32. Find the third derivative of 113*l**m + l - 60*l**4 - l**3 - 5*l**2 - 40*l**4 + 3*l**3 wrt l.
312*l + 12
Let a(j) be the third derivative of -181*j**9/504 - j**8/56 - 277*j**5/30 - 4*j**2 + 395*j. What is the third derivative of a(n) wrt n?
-21720*n**3 - 360*n**2
Let y(d) be the third derivative of 529*d**8/336 - 1023*d**4/8 - 307*d**2. Find the second derivative of y(c) wrt c.
10580*c**3
Suppose 0 = -5*w + 18 + 72. Suppose -w = -10*r + r. What is the second derivative of -l**2 + 144*l - 3*l**r - 114*l wrt l?
-8
Let h be (-10)/6*(0/(-4) + 3). Let s be (-399)/(-12) + h + 1/(-4). Find the second derivative of 2*c - 42*c**5 - s*c**2 + 25*c + 28*c**2 wrt c.
-840*c**3
Find the third derivative of 5339*s**5 - 4649*s**2 + 1263*s**2 + 699291 - 699291 wrt s.
320340*s**2
Find the first derivative of -16957*t + 8528*t - 9*t**3 + 834 + 8466*t wrt t.
-27*t**2 + 37
Let q(a) be the second derivative of 0*a**3 + 0*a**2 - 49/4*a**4 - 7*a - 13/20*a**5 + 5. Find the third derivative of q(v) wrt v.
-78
Let o be (-46*(-8)/32)/(2/380). What is the third derivative of o*i**4 - 191*i**2 - 4369*i**4 - 166*i**5 + 2184*i**4 wrt i?
-9960*i**2
Let q(u) be the first derivative of -23*u + 27/7*u**7 + 0*u**2 - 50 + 0*u**6 + 0*u**4 + 0*u**5 - 1/3*u**3. Find the third derivative of q(v) wrt v.
3240*v**3
Let v = 42 + -39. Suppose 2*f = -s - 4, -v*s = -0*f + 4*f + 12. What is the first derivative of -7*h**3 - 24 + 14*h**3 + f*h**3 - 4*h**3 wrt h?
9*h**2
Let g(h) = -5*h**2 + 52*h - 17. Let q be g(10). What is the first derivative of -20*w - 10*w - 6*w**q + 57 + 12*w wrt w?
-18*w**2 - 18
Let w = 11 + 1. Suppose 0 = f - 2*t - w, -t + 4 = -2*t. What is the third derivative of 31*i**3 + f*i**2 + 18*i**2 + 5*i**2 wrt i?
186
Let s(n) = 41*n**3 - 2*n**2 + 10*n - 9. Let p be s(1). Find the third derivative of -p*y**3 + 57*y**2 - 12*y**2 - 105*y**2 + 3*y**4 wrt y.
72*y - 240
Let x(a) = -a**2 + 8*a - 18. Let p(u) = -1. Let b(c) = 5*p(c) - x(c). Let y be b(8). What is the derivative of y*h**2 - 15 - 11 + 16 wrt h?
26*h
Suppose -i = 2*i + i. Suppose 10*b - 3*o = 9*b + 10, i = b - 4*o - 7. Find the second derivative of -12*f**3 - 8*f**3 + f**3 + b*f wrt f.
-114*f
Let x = -101 + 104. What is the second derivative of -19*l + x*l**5 - 4*l - 49*l + 7*l**5 wrt l?
200*l**3
Let c(m) be the second derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is n(k(m))?
-3219741*m**4 - 20139*m**2
Let h(q) = -1673*q**2. Let v(p) = 2959*p. Give h(v(m)).
-14648254313*m**2
Let p(i) = 2*i. Let y be (-2)/4 - (1 - (-715)/(-2)). Let r(q) = -177 - 179 + y - 20*q. Calculate r(p(d)).
-40*d
Let k(h) = -14*h. Let t(s) = 9*s - 4. Let d(g) = -20*g. Let c(r) = 2*r + 1. Let l(y) = 5*c(y) + d(y). Let p(f) = -4*l(f) - 5*t(f). Calculate p(k(u)).
70*u
Let c(f) = 1244*f - 4*f**2 + 1246*f - 2490*f. Let b(g) be the second derivative of -3*g**3/2 + 5*g. Give c(b(m)).
-324*m**2
Let u(d) = -11*d. Suppose -2*i = -h - 3, -3*i - i + 5 = -3*h. Let w(j) = 60*j**i + 55*j**2 - 132*j**2. Give w(u(o)).
-2057*o**2
Let r be (247/(-104) - (-3)/8) + 3. Let f(x) = -66*x**2 - 99*x. Let c(s) = -s**2 - 3*s. Let v(l) = r*f(l) - 33*c(l). Let q(g) = -2*g**2. Give q(v(o)).
-2178*o**4
Let q(z) = -z**2. Let m(o) = -13*o**2 - 283*o + 100. Let j(u) = 4*u**2 + 94*u - 30. Let h(a) = -10*j(a) - 3*m(a). Give h(q(y)).
-y**4 + 91*y**2
Let k(z) be the third derivative of -22*z**2 + 0 + 0*z - 5/3*z**3 - 1/12*z**4. Let h(r) = 4*r. Let w(u) = -5*u. Let q(o) = 6*h(o) + 5*w(o). What is q(k(a))?
2*a + 10
Let l(i) = 34390580*i**2 - 2. Let n(d) = 2*d. Give n(l(p)).
68781160*p**2 - 4
Let j(h) = -2386*h. Let s(u) = 837*u**2. What is s(j(p))?
4765037652*p**2
Let i(t) = 2048*t. Let g(x) = -22*x - 967. Give g(i(o)).
-45056*o - 967
Let v(w) = -2*w. Let p be (16/(-40))/((-5)/25). Let r(b) = -697*b**2 + 9*b + 27. Let o(y) = -174*y**2 + 2*y + 6. Let g(n) = p*r(n) - 9*o(n). Give v(g(d)).
-344*d**2
Let f(w) = -3*w**2. Let d(m) be the first derivative of -5/3*m**3 + 154 + 0*m + 0*m**2. Calculate d(f(g)).
-45*g**4
Let q(i) = -2*i - 9. Let f(a) = 2*a + 12. Let x(p) = 3*f(p) + 4*q(p). Let j(l) be the first derivative of l**2/2 + 55*l + 416. Give j(x(s)).
-2*s + 55
Let q(b) = 2*b**2. Let f(o) = -4*o**2 - 18*o**2 + 3*o**2. Let n(z) be the first derivative of -z**3/3 + 622. Let k(r) = 2*f(r) - 14*n(r). Calculate k(q(a)).
-96*a**4
Let u(b) be the second derivative of b**3/3 - 1926*b. Let a(j) = -293*j. Give a(u(h)).
-586*h
Let i(q) be the first derivative of -q**2 - 7. Suppose 13*x = 6*x + 14. Let g(w) = 7*w**2 - 2*w**2 + 4 + 2*w**2 - 6*w**x. Calculate i(g(c)).
-2*c**2 - 8
Let n(k) = -62*k + 9. Let g(l) = 30*l - 4. Let j(v) = 9*g(v) + 4*n(v). Let t(u) be the third derivative of -u**5/60 - 5*u**2. Give j(t(c)).
-22*c**2
Let u(d) = 5*d. Let g(p) be the first derivative of 125 + 6539*p - 4*p**3 - 6539*p. Calculate u(g(n)).
-60*n**2
Let o(f) = f**2. Let q(h) be the third derivative of 0*h + 0*h**3 + 75*h**2 + 0 - 1/4*h**4. Determine o(q(n)).
36*n**2
Let y(f) = -3*f. Let o = 134 + -118. Let v(c) = o*c + 23*c - 3*c - 5*c. Give y(v(x)).
-93*x
Let g(m) = -8*m**2. Let j(y) = 34738476*y. Calculate j(g(n)).
-277907808*n**2
Suppose -3*r + 65 = 2*r. Let k(s) = 15 - 15 - r*s**2. Let c(i) be the first derivative of i**2/2 - 76. What is k(c(x))?
-13*x**2
Let d be ((179 + -1)/2)/(27/81). Let o(l) = 132*l - d*l + 136*l. Let k(t) = 2*t**2. What is k(o(q))?
2*q**2
Let t(p) = -265748*p - 8. Let x(o) = -o. Calculate t(x(k)).
265748*k - 8
Let y(u) = u. Let z(x) = x - 7. Let h(q) = -21*q + 37. Let j(s) = 5*h(s) + 20*z(s). Let o(f) = 2*f - 4 + 2 + 1. Let r(v) = -2*j(v) - 90*o(v). Calculate y(r(b)).
-10*b
Let b(p) = 3*p. Let u(y) = -2110*y**2 - 15*y - 475. Give b(u(i)).
-6330*i**2 - 45*i - 1425
Let p(a) = 20*a**2. Suppose -17*b + 4 = -16*b. Let z be (-2788)/(-238) + b/14. Let n(d) = -z*d - 9*d + 24*d. Determine n(p(f)).
60*f**2
Suppose 18 = 3*b + 3*a, -b + 6 = -0*a - 3*a. Let v be 33*((-4)/(-3) - 4/b). Let m(y) = -3*y + v - 22. Let c(z) = 2*z**2. What is m(c(l))?
-6*l**2
Let c(j) = 77*j + 49. Let o(m) = -6745*m. Determine c(o(x)).
-519365*x + 49
Let m(k) = -31*k**2 - 2*k + 2*k - 53 + 53. Let q(c) = -11*c**2 - 5. Let r(s) = -16*s**2 - 8. Let v(h) = -8*q(h) + 5*r(h). Give v(m(d)).
7688*d**4
Let w(x) = -38*x - 109154 + 109233 + 41*x. Let h(n) = -8*n**2. What is w(h(t))?
-24*t**2 + 79
Let r(w) = 465458084*w**2. Let u(z) = z**2. What is r(u(o))?
465458084*o**4
Suppose 11*i - 18 = 5*i. Let x(m) = -423 + i*m + 423. Let y(k) be the first derivative of -7*k**2/2 - 4. Calculate y(x(p)).
-21*p
Let y(v) = 45*v. Suppose 12*o + 155 = 7*o. Let q = o - -33. Let n(f) = 3*f**2 - 3*f - 4*f**q + 3*f. Determine y(n(r)).
-45*r**2
Let j(t) = 5*t**2. Let d(m) be the second derivative of -62*m**3 + 9*m + 3. Determine j(d(g)).
691920*g**2
Let d(a) = 2*a. Let n(c) = -c**2 - 266*c - 46*c + 37*c + 21*c. What is d(n(x))?
-2*x**2 - 508*x
Let w(v) = 20*v**2. Let f(u) = 23235236*u. Give f(w(q)).
464704720*q**2
Let m(t) = 7*t**2 + 5*t - 6. Let v(r) = 2*r + 540. What is m(v(a))?
28*a**2 + 15130*a + 2043894
Let n(i) = 6*i**2 + 3*i. Suppose -18*j + 15 = -39. Let x(f) = -5*f**2 - 2*f. Let b(p) = j*x(p) + 2*n(p). Let m(k) = 11*k. Give b(m(h)).
-363*h**2
Let h(k) = -1067962*k. Let b(t) = -16*t. Calculate h(b(m)).
17087392*m
Let w(u) = 9*u. Let v(o) be the third derivative of o**8/3360 + 2*o**5/15 + o**4/6 - 2*o**2 + 8. Let c(a) be the third derivative of v(a). What is w(c(y))?
54*y**2
Let t(f) = -11*f**2 - 33031066. Let b(k) = -k. What is t(b(z))?
-11*z**2 - 33031066
Let i(o) = 5*o**2 + 14*o. Let u(n) = 33*n - 15. Let j(r) = 6*r - 3. Let s(a) = 15*j(a) - 3*u(a). Calculate i(s(m)).
405*m**2 - 126*m
Let o(d) = 32562*d**2 + d - 15. Let s(r) = -17*r**2. What is o(s(m))?
9410418*m**4 - 17*m**2 - 15
Let k(s) = 3*s. Let y = -569 - -578. Let d(b) = 39*b + 0 + 0 + y*b - 3*b. What is d(k(c))?
135*c
Let j(d) = d**2 - d + 2125314. Let x(l) = -l. What is j(x(r))?
r**2 + r + 2125314
Let d(q) = -q**2. Let k(c) = -21*c**2 - 32*c - 320. Let y(r) = 13*r**2 + 20*r + 213. Let m(t) = 5*k(t) + 8*y(t). Calculate m(d(h)).
-h**4 + 104
Let m(v) = 40*v - 66. Let x(w) = -21*w + 36. Let d(o) = -6*m(o) - 11*x(o). Let r(l) = 295*l. Calculate r(d(k)).
-2655*k
Let a(s) = 278*s. Let b(j) = 2*j - 1415. Determine a(b(m)).
556*m - 393370
Let d(g) be the first derivative of g**3/3 + 312. Let k(i) = -3822*i**2. Determine d(k(m)).
14607684*m**4
Let g(o) = -9 - 4 - 1 + 14 - 106*o**2 + 75*o**2. Let f(s) = -4*s + s - 4*s. Calculate g(f(l)).
-1519*l**2
Let m(c) = -44964*c. Let t(g) = 9*g**2 + 7*g. Give t(m(s)).
18195851664*s**2 - 314748*s
Let p(g) = -5*g**2. Let a(i) = 1270*i**2 - 50*i - 2. Determine a(p(b)).
31750*b**4 + 250*b**2 - 2
Let y(n) = -n**3 - 18*n**2 - 15*n + 34. Let r be y(-17). Let w = -8 - -13. Let g(z) = r + 2*z + w*z + 0. Let f(q) = q**2. What is g(f(t))?
7*t**2
Let w(t) = -t. Let i(y) = -842414*y. Give i(w(b)).
842414*b
Let k(w) = 4*w**2. Let z = 4606 - 1872. Let n(y) = 27*y - z + 2734. Determine n(k(h)).
108*h**2
Let h(c) = -152*c. Let l(i) be the second derivative of 2*i**3/3 - 9*i + 15. Give h(l(n)).
-608*n
Let d(z) = 4*z. Let a(y) = -93*y**2 + 27224. Determine a(d(u)).
-1488*u**2 + 27224
Let u(x) = 19*x**2. Let w be (-4)/14 - (-4 - (-375)/35). Let b(j) = -j - 6. Let l(q) = -2*q - 14. Let t(f) = w*b(f) + 3*l(f). What is u(t(z))?
19*z**2
Let y(k) = 99*k**2. Let m(b) = -324*b**2 - 3*b + 18. Give m(y(i)).
-3175524*i**4 - 297*i**2 + 18
Suppose 0 = -100*r + 14 + 186. Let l(o) = -4*o. Let q be l(-3). Let b(w) = 6*w**2 - q*w**2 + 5*w**r. Let x(f) = 3*f**2. What is x(b(d))?
3*d**4
Let g(q) be the third derivative of -29*q**5/5 + q**3/3 + 195*q**2 + 2. Let h(t) = 3*t**2. Calculate g(h(m)).
-3132*m**4 + 2
Let g(k) be the second derivative of -k**4/4 - 2*k**3/3 + 13*k. Let n(z) = 6 + 373*z - 374*z - 6. Calculate n(g(p)).
3*p**2 + 4*p
Let z(v) = v**2 + 6*v - 3. Let j(x) = 4*x**2 + 16*x - 8. Suppose -10*l + 17 = -63. Let u(o) = l*z(o) - 3*j(o). Let i(b) = 3*b. Determine u(i(r)).
-36*r**2
Let r(d) be the third derivative of -8*d**5/15 + 4*d**2 - 2*d. Let x(m) be the third derivative of -m**4/24 + m**2. What is x(r(h))?
32*h**2
Let k(u) be the first derivative of 0*u + 0*u**2 - 10/3*u**3 - 11. Let x(n) = 2*n**2 - 2*n. Let p(a) = a**2 + a. Let r(i) = -2*p(i) - x(i). Give k(r(j)).
-160*j**4
Let o(g) = -71 + 14*g**2 + 71. Let r = -24 - -26. Let q(k) = k**2 + 2*k**2 - k**2 + k**r. Give q(o(i)).
588*i**4
Let y(o) = 20*o - 6779. Let x(k) = -26*k. Give x(y(v)).
-520*v + 176254
Let z(a) = -370*a. Let m(i) = 10503*i. Give m(z(w)).
-3886110*w
Let q(x) = -11953*x - 6. Let w(u) = 42*u. Give w(q(b)).
-502026*b - 252
Let n(f) = -21*f**2 + f. Let y(a) = 11*a. Suppose -22*w + 113 = -349. Let
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{
"pile_set_name": "DM Mathematics"
}
|
**w + 4*u**3 with respect to u.
3*u**2
Suppose x = -2 - 8. Let y be (14/35)/((-1)/x). Find the third derivative of 3*v**2 + 4 - 2*v**3 - y - v**3 wrt v.
-18
Let q(o) be the second derivative of -o**8/560 - o**5/40 + o**3/3 + o. Let b(c) be the second derivative of q(c). What is the second derivative of b(y) wrt y?
-36*y**2
Let a(u) = -2*u**2 + 2. Let r be a(2). Let q = r - -10. Find the third derivative of -2 + 1 - v**2 - v**q + 1 wrt v.
-24*v
Let x be -5*((-15)/3 + 0). Suppose 5 = p + 4*g, -2*g = -5*p - 6*g + x. Find the second derivative of 4*j**p - 3*j**5 + 2*j + 2*j**5 + j wrt j.
60*j**3
Let g = -23/3 + 8. Let a(l) be the third derivative of -3*l**2 + 0*l**6 - g*l**3 + 0 - 1/210*l**7 + 0*l + 0*l**4 + 0*l**5. Differentiate a(b) wrt b.
-4*b**3
Let w(f) = f - 4. Let a be w(4). Let r be a + 2 - 4/(-2). What is the first derivative of 3*q**2 + 2 - q**2 - 2*q**2 + 4*q**r wrt q?
16*q**3
Let j(v) be the second derivative of 7/6*v**3 + 2*v + 0*v**4 + 0 + 0*v**2 - 9/20*v**5. Find the second derivative of j(t) wrt t.
-54*t
Let o(m) = -25*m**2 + 12*m + 13. Let u(x) = 12*x**2 - 6*x - 6. Let n(k) = -6*o(k) - 13*u(k). What is the second derivative of n(f) wrt f?
-12
Let z be (8/(-10))/((-8)/20). What is the third derivative of -2*g**z + 7*g**3 - g**3 + g**3 wrt g?
42
Let z(h) be the third derivative of -5*h**8/336 + 17*h**5/60 - 12*h**2. What is the third derivative of z(y) wrt y?
-300*y**2
Let w be 2/(-6) - (-154)/21. Let y = 8 - w. What is the first derivative of -h + y - 2 + 0 wrt h?
-1
Let t(l) = l**4 + l**3 - l**2 + l. Let f(v) = 14*v**4 + 6*v**3 - 6*v**2 - v. Let i(y) = f(y) - 6*t(y). What is the second derivative of i(o) wrt o?
96*o**2
Let l(x) = 9*x**4 + 4*x**3 + 16*x - 4. Let j(g) = -8*g**4 - 5*g**3 - 16*g + 5. Let v(p) = -4*j(p) - 5*l(p). Find the second derivative of v(i) wrt i.
-156*i**2
Let g be 8/84*3 - 2/7. Let n(w) = w**3 + 5*w**2 + w + 7. Let j be n(-5). What is the first derivative of j + s + 2*s**3 - s + g wrt s?
6*s**2
Let p(z) be the third derivative of z**9/42 + 7*z**5/30 - 7*z**2. What is the third derivative of p(b) wrt b?
1440*b**3
Let o(f) be the third derivative of f**8/336 - f**7/70 + f**5/20 + f**4/12 + 56*f**2. What is the third derivative of o(t) wrt t?
60*t**2 - 72*t
Let m(t) = -t**3 - 1. Let d be m(-1). Differentiate 0*c + 0*c - 3 + d*c**2 + 2*c**2 wrt c.
4*c
What is the second derivative of 48*o**2 - 111*o**2 + 23*o + 45*o**2 wrt o?
-36
Suppose 13 = 4*g - 3. Let i(m) = -7 - m**2 + 7*m + 2 - 4*m. Let p(x) = -x**2 + 4*x - 6. Let o(u) = g*i(u) - 3*p(u). Differentiate o(d) with respect to d.
-2*d
Let d(t) = 61*t**4 - 5*t**3 - 5*t**2 - 59. Let y(j) = -31*j**4 + 3*j**3 + 3*j**2 + 30. Let b(w) = -3*d(w) - 5*y(w). Find the first derivative of b(o) wrt o.
-112*o**3
Suppose 12 - 4 = 4*r + 5*c, r - 2 = 3*c. Let z(y) be the first derivative of -y**2 + 0*y - 1/2*y**4 + 0*y**3 + r. Find the second derivative of z(w) wrt w.
-12*w
Let d(s) be the first derivative of 0*s - 2/3*s**3 + 0*s**4 + 0*s**6 - 3 + 0*s**2 - 1/7*s**7 + 0*s**5. Find the third derivative of d(x) wrt x.
-120*x**3
Suppose -4 = -2*f + f. Suppose 5*n - 4*d = -1, 2*d - 5*d = 5*n - 27. Find the second derivative of f*g**3 + n*g - g**3 - 3*g**3 + 2*g**5 wrt g.
40*g**3
Let u be (-2)/7 + 8/28. Suppose 2*d + 2*d - 56 = u. What is the derivative of 2 - 14*g + 2*g**3 + d*g wrt g?
6*g**2
What is the first derivative of -6*r**2 - 1 + 5*r**2 - 12*r**2 + 10 wrt r?
-26*r
Differentiate -2*o**2 - 4 - 4*o**2 + 3 + 6 wrt o.
-12*o
Let g(u) = 2*u**3 - 4*u + 7*u**3 + 3 - 3*u**3. Let k(w) = 7*w**3 - 5*w + 4. Let s(d) = -4*g(d) + 3*k(d). What is the second derivative of s(c) wrt c?
-18*c
Let z = 82 - 79. Let r(a) be the first derivative of 0*a + 0*a**3 + 2/5*a**5 + a**2 - z + 0*a**4. Find the second derivative of r(w) wrt w.
24*w**2
Let g be 2/4 + 27/6. Let n(t) = -t**3 + 6*t**2 - 4*t. Let a be n(g). Find the second derivative of 5*h - h**a - 8*h + 4*h wrt h.
-20*h**3
Differentiate -6 + 0 + g**3 - 19*g**3 with respect to g.
-54*g**2
Let s(f) be the first derivative of -9*f**2/2 + 10*f - 8. Find the first derivative of s(o) wrt o.
-9
Let r(u) = -u**2 - 3*u + 3. Let t be r(-3). What is the third derivative of w**2 + 3*w - 2*w**2 - t*w + 2*w**4 wrt w?
48*w
Suppose 2*p + 4*b + 8 = 0, -8 = -p - 2*p - b. What is the third derivative of -9 + 3 + 6 - 5*v**p - 5*v**2 wrt v?
-120*v
Find the second derivative of 241*x**3 - 249*x**3 - 3*x - x wrt x.
-48*x
What is the third derivative of -23*i**2 - 1787*i**4 + 14*i**6 + 1787*i**4 wrt i?
1680*i**3
Let z(j) be the second derivative of -5*j**7/21 + 5*j**3/3 - 8*j. What is the second derivative of z(f) wrt f?
-200*f**3
Let s(o) = o**3 - 6*o**2 + 6*o - 1. Let q be s(5). Find the second derivative of -4*v + 0*v**q + 3*v - 2*v**4 wrt v.
-24*v**2
Let o(v) = -v - 1. Let m(x) = 5*x + 4. Let w(t) = m(t) - 5*o(t). What is the derivative of w(s) wrt s?
10
Let n = -1 - -2. Suppose 4 = m + n. What is the third derivative of -2*g**6 + 7*g**6 + 2*g**2 - m*g**2 - 3*g**6 wrt g?
240*g**3
Let s be (-3)/2 + 7/2. Find the third derivative of 0*k**2 - 3*k**3 - 5*k**3 + 5*k**3 + 2*k**s wrt k.
-18
Suppose 0 = -2*m - 2*m - 4. Let w = m + 4. What is the derivative of 2 + w*y**4 - y**4 - 3*y**4 wrt y?
-4*y**3
Let s be -9 - -7 - -2*5. Find the second derivative of 18*p - 27*p - p**5 + s*p**5 wrt p.
140*p**3
Let r = -32 + 97/3. Let h(q) be the first derivative of 0*q + 2 + q**2 - r*q**3. Find the second derivative of h(k) wrt k.
-2
What is the third derivative of -25*q**2 - 22*q**6 - 19*q**2 + 36*q**2 + 62*q**6 wrt q?
4800*q**3
Find the second derivative of 2*i**2 - 5*i + i**2 - 3*i**2 - 7*i**4 wrt i.
-84*i**2
Let y(p) be the first derivative of p**9/1512 + p**6/180 + p**3 - 2. Let s(f) be the third derivative of y(f). Find the third derivative of s(n) wrt n.
120*n**2
Let z(i) be the first derivative of 11*i**6/6 + 2*i**3 + 7. Find the third derivative of z(t) wrt t.
660*t**2
Suppose 7 + 3 = 5*f. Suppose 0 = -f*l + 8, -5*q - 1 + 17 = -l. What is the third derivative of -3*j**4 + j**2 + j**2 + j**q wrt j?
-48*j
Let o(x) = x - 1. Let c(m) = 12*m**2 - 20*m + 4. Let h(k) = c(k) + 4*o(k). What is the second derivative of h(u) wrt u?
24
Let x = 14 - 11. Let m(f) be the second derivative of 0*f**4 + 0 + 0*f**x - 1/10*f**5 + f**2 - 3*f. Find the first derivative of m(n) wrt n.
-6*n**2
Let k(n) be the first derivative of -n + 0*n**4 + 0*n**2 + 6 + 0*n**3 + 9/5*n**5. Find the first derivative of k(s) wrt s.
36*s**3
Let d(t) be the second derivative of -3*t + 0*t**3 + 0 + 7/30*t**6 - 7/2*t**2 + 0*t**4 + 0*t**5. What is the first derivative of d(v) wrt v?
28*v**3
Let c be (-1 - -28)*10/15. What is the third derivative of 8*g**2 + 3*g**5 + c*g**6 - 3*g**5 - 23*g**6 wrt g?
-600*g**3
Let w = -149/42 - -26/7. Let o(f) be the second derivative of 0 + 0*f**3 + w*f**4 - 2*f + f**2. Find the first derivative of o(b) wrt b.
4*b
Let u(w) be the second derivative of w**8/1680 + w**6/360 + w**3/2 - 2*w. Let g(m) be the second derivative of u(m). What is the third derivative of g(s) wrt s?
24*s
Let m(q) = -q**2 - 10*q + 14. Let r be m(-11). What is the second derivative of 4*x**r + x**3 - x - x**3 + 2*x wrt x?
24*x
Suppose 0 = -i + 4 + 2. Find the second derivative of -8*b - i*b**2 + 89 - 89 wrt b.
-12
Let b(y) be the first derivative of y**5 - 7*y + 5. What is the first derivative of b(v) wrt v?
20*v**3
Find the third derivative of 9*s**2 + 0*s**4 - s**4 + 6*s**4 + 0*s**4 wrt s.
120*s
Let g(j) = -3*j - 3 + j + 6*j - 2*j. Let r(a) = -a. Let y(k) = -g(k) + 2*r(k). Differentiate y(w) wrt w.
-4
Let u(t) be the first derivative of -t**7/280 + t**6/120 - t**3 - 3. Let d(x) be the third derivative of u(x). Find the third derivative of d(n) wrt n.
-18
Let w be 8/6*(-3)/(-2). Let s = -7 + 9. What is the derivative of 4*y**2 - 3*y**2 + w - 4*y**s + 6*y**2 wrt y?
6*y
Let c(x) = 17*x + 16. Let l(k) = 18*k + 17. Let s(h) = -2*c(h) + 3*l(h). Differentiate s(w) with respect to w.
20
Let j(u) = 134*u**4 - 11*u**3 + 11*u - 141. Let q(a) = -27*a**4 + 2*a**3 - 2*a + 28. Let c(i) = 2*j(i) + 11*q(i). What is the first derivative of c(f) wrt f?
-116*f**3
Let t(v) = -57*v**3 + 58*v**2 - 11*v - 11. Let c(u) = 28*u**3 - 29*u**2 + 6*u + 6. Let f(k) = -11*c(k) - 6*t(k). Find the third derivative of f(d) wrt d.
204
Let g(u) be the
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{
"pile_set_name": "DM Mathematics"
}
|
s x?
-1, -1/5, 12
Factor -u**2/4 - 7*u/2 - 49/4.
-(u + 7)**2/4
Factor p**3 + 446*p**2 + 445*p.
p*(p + 1)*(p + 445)
Determine k, given that -k**3/3 - 9*k**2 + 52*k - 128/3 = 0.
-32, 1, 4
What is i in 34*i**5 + 132*i**4 - 16*i**3 - 544*i**2 - 480*i + 64 = 0?
-2, 2/17, 2
Solve 2*a**2 - 6256*a + 4892192 = 0.
1564
Factor 45*n**3 - 190*n**2 + 220*n - 40.
5*(n - 2)**2*(9*n - 2)
Factor 4*o**3/7 - 92*o**2 + 26240*o/7 - 25600/7.
4*(o - 80)**2*(o - 1)/7
Suppose -l**3/3 + 404*l**2/3 + l/3 - 404/3 = 0. Calculate l.
-1, 1, 404
Let 15*p**5 + 695*p**4 - 1925*p**3 + 1705*p**2 - 490*p = 0. Calculate p.
-49, 0, 2/3, 1
Determine n so that -2*n**2/9 - 2566*n/9 = 0.
-1283, 0
Suppose 8*o**2/5 - 167*o/5 - 21/5 = 0. Calculate o.
-1/8, 21
What is q in 80*q**5 - 720*q**4 - 805*q**3 + 45*q**2 + 50*q = 0?
-1, -1/4, 0, 1/4, 10
Find w, given that 2*w**4/11 - 6*w**3 + 42*w**2 - 734*w/11 + 336/11 = 0.
1, 7, 24
Find u such that 5*u**3/6 - 25*u**2/2 - 5*u/6 + 25/2 = 0.
-1, 1, 15
Factor -5*x**2 - 90*x - 85.
-5*(x + 1)*(x + 17)
Factor -t**2/4 - 11*t/2 + 23/4.
-(t - 1)*(t + 23)/4
Find i, given that 2401*i**2 + 784*i + 64 = 0.
-8/49
Solve -2*i**2/5 + 6*i = 0.
0, 15
Let -u**3/4 - 9*u**2 - 60*u + 400 = 0. Calculate u.
-20, 4
Factor -q**3/4 - 5*q**2 - 37*q/4 - 9/2.
-(q + 1)**2*(q + 18)/4
What is x in x**4/2 - 9*x**2 - 16*x - 15/2 = 0?
-3, -1, 5
Factor o**5/2 - 5*o**4 + 39*o**3/2 - 37*o**2 + 34*o - 12.
(o - 3)*(o - 2)**3*(o - 1)/2
Solve -2*r**2/3 - 5108*r - 9784374 = 0.
-3831
What is m in 3*m**5 + 129*m**4 + 93*m**3 - 1413*m**2 - 1080*m + 2268 = 0?
-42, -3, -2, 1, 3
Factor -j**4 - 42*j**3 - 35*j**2 + 246*j.
-j*(j - 2)*(j + 3)*(j + 41)
Solve -9*w**4 - 303*w**3 - 474*w**2 + 192*w = 0.
-32, -2, 0, 1/3
Factor -4*q**3 + 304*q**2 - 1168*q + 1152.
-4*(q - 72)*(q - 2)**2
Factor -8*q**4 - 452*q**3 + 228*q**2.
-4*q**2*(q + 57)*(2*q - 1)
Factor 2*h**2/15 + 8*h/5 + 18/5.
2*(h + 3)*(h + 9)/15
Let 2*x**2/7 + 4*x/7 - 30/7 = 0. Calculate x.
-5, 3
Factor -f**2/2 - 3*f/2.
-f*(f + 3)/2
Factor -10*q**3 - 254*q**2 - 340*q - 96.
-2*(q + 1)*(q + 24)*(5*q + 2)
Solve 4*x**4 - 1280*x**3 + 102396*x**2 + 1280*x - 102400 = 0.
-1, 1, 160
Suppose a**4/3 + 7*a**3 - 23*a**2/3 - 7*a + 22/3 = 0. Calculate a.
-22, -1, 1
Suppose t**3/8 + 507*t**2/4 + 85683*t/2 + 4826809 = 0. Calculate t.
-338
Suppose -h**5/2 + 17*h**4/2 - 39*h**3 + 70*h**2 - 44*h = 0. Calculate h.
0, 2, 11
Factor t**2/5 - 822*t/5 + 168921/5.
(t - 411)**2/5
Determine h so that 2*h**5/7 - 104*h**4/7 + 194*h**3/7 + 316*h**2/7 - 808*h/7 + 400/7 = 0.
-2, 1, 2, 50
Find n such that n**5/8 - 133*n**4/8 + 869*n**3/4 - 4365*n**2/4 + 19413*n/8 - 16065/8 = 0.
3, 5, 119
Determine x, given that 6*x**5 - 111*x**4 + 45*x**3 + 165*x**2 - 51*x - 54 = 0.
-1, -1/2, 1, 18
Let -n**3/7 - 19*n**2 - 1016*n/7 - 2000/7 = 0. Calculate n.
-125, -4
Find b such that 45*b**5/2 + 385*b**4/4 - 45*b**3 - 1735*b**2/4 - 105*b + 45 = 0.
-3, -1/2, 2/9, 2
Determine c, given that -c**5/3 + 4*c**4 - 20*c**3/3 - 2*c**2/3 + 7*c - 10/3 = 0.
-1, 1, 10
Factor -10*i**3/3 - 14*i**2 + 40*i/3.
-2*i*(i + 5)*(5*i - 4)/3
Factor -x**2/4 + 51*x/2 - 98.
-(x - 98)*(x - 4)/4
Factor p**4/6 + 43*p**3/3 - 451*p**2/6 + 182*p/3.
p*(p - 4)*(p - 1)*(p + 91)/6
Suppose -3*n**3/4 + 27*n**2/2 + 495*n + 2850 = 0. What is n?
-10, 38
Factor -4*t**2 - 320*t - 3900.
-4*(t + 15)*(t + 65)
Find p, given that -6*p**3 + p**2 + 6*p - 1 = 0.
-1, 1/6, 1
Factor -3*o**3 + 75*o**2 - 558*o + 1080.
-3*(o - 12)*(o - 10)*(o - 3)
Factor -f**4 - 25*f**3 - 126*f**2 - 236*f - 152.
-(f + 2)**3*(f + 19)
Factor -4*x**2/3 - 91*x/6 - 11/2.
-(x + 11)*(8*x + 3)/6
What is w in 2*w**3/7 - 18*w**2/7 + 40*w/7 - 24/7 = 0?
1, 2, 6
Let -2*p**2/5 + 24*p - 360 = 0. Calculate p.
30
Determine y, given that -4*y**2 - 216*y - 212 = 0.
-53, -1
Factor 2*y**4 + 16*y**3 - 2*y**2 - 16*y.
2*y*(y - 1)*(y + 1)*(y + 8)
Factor 2*x**2/7 - 4*x + 66/7.
2*(x - 11)*(x - 3)/7
Find o, given that o**2/5 + 2*o/5 - 48/5 = 0.
-8, 6
Find p such that 3*p**4 - 127*p**3/2 + 247*p**2/2 + 2*p - 38 = 0.
-1/2, 2/3, 2, 19
Solve 7*f**2 + 51*f + 14 = 0 for f.
-7, -2/7
Find y such that 2*y**3/7 + 32*y**2/7 - 114*y/7 = 0.
-19, 0, 3
Factor 3*t**2/4 - 1587*t - 6351/4.
3*(t - 2117)*(t + 1)/4
Factor -t**2/4 + 39*t/2 - 1521/4.
-(t - 39)**2/4
Solve -2*c**5/15 - 22*c**4/15 - 2*c**3/5 + 262*c**2/15 - 112*c/15 - 24 = 0 for c.
-9, -5, -1, 2
Find j such that 2*j**4/7 - 26*j**3/7 - 96*j**2/7 - 8*j/7 + 128/7 = 0.
-2, 1, 16
Factor -30*b**3/11 - 58*b**2/11 + 4*b/11.
-2*b*(b + 2)*(15*b - 1)/11
What is d in -5*d**4 - 30*d**3 - 35*d**2 + 30*d + 40 = 0?
-4, -2, -1, 1
Factor a**5/2 - 18*a**4 - 20*a**3 + 53*a**2 + 183*a/2 + 37.
(a - 37)*(a - 2)*(a + 1)**3/2
Solve r**4 + 190*r**3/3 - 531*r**2 + 952*r + 1136/3 = 0.
-71, -1/3, 4
Factor x**4/2 + 5*x**3 - 14*x**2 - 20*x + 48.
(x - 2)**2*(x + 2)*(x + 12)/2
Find c such that -9*c**2 - 43*c + 10 = 0.
-5, 2/9
Let v**2/2 - 139*v/2 - 70 = 0. What is v?
-1, 140
Factor 2*q**2 - 3216*q + 1292832.
2*(q - 804)**2
Suppose q**4/3 - 550*q**3 - 2204*q**2 - 6616*q/3 = 0. Calculate q.
-2, 0, 1654
Find t such that 5*t**2 + 20940*t + 21924180 = 0.
-2094
Factor -2*i**3 + 258*i**2 - 1006*i + 750.
-2*(i - 125)*(i - 3)*(i - 1)
Factor -i**3 - 456*i**2 - 51984*i.
-i*(i + 228)**2
Let 4*n**4 + 416*n**3 = 0. What is n?
-104, 0
Factor 3*p**2 - 1476*p + 181548.
3*(p - 246)**2
Factor 3*g**4 + 48*g**3 + 72*g**2 - 960*g + 1200.
3*(g - 2)**2*(g + 10)**2
Factor 2*k**4 - 30*k**3 + 112*k**2 - 120*k.
2*k*(k - 10)*(k - 3)*(k - 2)
Find a such that a**4/8 + a**3/4 - 9*a**2/8 - a/4 + 1 = 0.
-4, -1, 1, 2
Determine j, given that -2*j**2/3 - 1100*j/3 - 151250/3 = 0.
-275
What is y in y**4/2 - 3*y**3 + 4*y**2 = 0?
0, 2, 4
Factor 4*x**2 + 48568*x + 147428164.
4*(x + 6071)**2
Factor -40*l**2 + 562*l/7 - 4/7.
-2*(l - 2)*(140*l - 1)/7
Suppose -2*t**5 + 54*t**4/5 - 10*t**3 - 38*t**2/5 + 12*t - 16/5 = 0. What is t?
-1, 2/5, 1, 4
Determine q, given that q**5 - 25*q**4 + 190*q**3 - 430*q**2 + 385*q - 121 = 0.
1, 11
Determine j so that 4*j**3 - 1344*j**2 + 150528*j - 5619712 = 0.
112
What is p in -5*p**3 - 190*p**2 + 395*p - 200 = 0?
-40, 1
Factor -3*u**2 - 81*u + 714.
-3*(u - 7)*(u + 34)
Factor s**4/7 - 2*s**3 + 60*s**2/7 - 82*s/7 + 5.
(s - 7)*(s - 5)*(s - 1)**2/7
Find r such that -r**2/3 - 3*r + 220/3 = 0.
-20, 11
Let 3*n**4/7 - 9*n**2/7 + 6*n/7 = 0. What is n?
-2, 0, 1
Factor 16*b**4/5 - 4144*b**3/5 + 255604*b**2/5 + 329448*b + 505620.
4*(b + 3)**2*(2*b - 265)**2/5
Suppose -3*b**2/2 - 93*b/2 + 48 = 0. Calculate b.
-32, 1
Solve q**2/6 - 3038*q + 13844166 = 0.
9114
Factor 5*i**2 - 1915*i - 1920.
5*(i - 384)*(i + 1)
Factor w**5 - 81*w**4 + 389*w**3 - 691*w**2 + 534*w - 152.
(w - 76)*(w - 2)*(w - 1)**3
Factor -m**3/4 + 5*m**2/2 - 23*m/4 + 7/2.
-(m - 7)*(m - 2)*(m - 1)/4
Solve -o**2 - 18*o + 19 = 0.
-19, 1
Factor 5*c**3 - 595*c**2 + 1740*c.
5*c*(c - 116)*(c - 3)
Solve 5*z**4 - 10*z**2 + 5 = 0 for z.
-1, 1
Solve 2*g**3 + 86*g**2 + 830*g - 918 = 0 for g.
-27, -17, 1
Factor -5*b**3 + 30*b**2 + 135*b.
-5*b*(b - 9)*(b + 3)
Factor -2*g**2/5 + 32*g - 640.
-2*(g - 40)**2/5
Factor -2*t**3/3 + 146*t**2/3.
-2*t**2*(t - 73)/3
Find f such that -237*f**3 + 1893*f**2 - 2820*f - 36 = 0.
-1/79, 2, 6
Factor -v**2/6 + v/6 + 2.
-(v - 4)*(v + 3)/6
Suppose -j**5/5 + 13*j**4/5 - 42*j**3/5 + 58*j**2/5 - 37*j/5 + 9/5 = 0. What is j?
1, 9
Determine a so that -3*a**2 - 21*a - 36 = 0.
-4, -3
Determine r, given that -4*r**3/3 + 7*r**2/3 - 2*r/3 - 1/3 = 0.
-1/4, 1
Suppose -2*v**5/5 + 716*v**4/5 - 13240*v**3 + 380176*v**2/5 - 749056*v/5 + 495616/5 = 0. Calculate v.
2, 176
Factor -50*k**3 + 120*k**2 + 918*k + 972.
-2*(k - 6)*(5*k + 9)**2
Solve -4*s**2 + 120*s + 124 = 0 for s.
-1, 31
Let -66*y**4 - 334*y**3 + 376*y**2 + 24*y = 0. What is y?
-6, -2/33, 0, 1
Determine n so that -4*n**5 + 12*n**4 + 20*n**3 - 60*n**2 - 16*n + 48 = 0.
-2, -1, 1, 2, 3
Determine i, given that -2*i**5/21 - 20*i**4/7 + 344*i**3/21 - 76*i**2/7 - 30*i = 0.
-35, -1, 0, 3
Let 4*l**3 + 104*l**2 + 332*l - 440 = 0. What is l?
-22, -5, 1
Factor -y**2/7 - 34*y/7 - 64/7.
-(y + 2)*(y + 32)/7
Factor -n**5/2 - 17*n**4/2 - 29*n**3 - 41*n**2 - 53*n/2 - 13/2.
-(n + 1)**4*(n + 13)/2
Factor r**2/7 + 62*r/7 + 120/7.
(r + 2)*(r + 60)/7
Solve -d**2 - 339*d + 1026 = 0 for d.
-342, 3
Determine o so that o**5/3 - 5*o**4/3 + 5*o**3/3 + 5*o**2/3 - 2*o = 0.
-1, 0, 1, 2, 3
Factor -2*v**2 + 18*v + 44.
-2*(v - 11)*
|
{
"pile_set_name": "DM Mathematics"
}
|
1 + 3)) + (12 - 22).
0
What is the value of (-9 - -16) + (-14 - -3) - -2?
-2
Evaluate 11 - (-37 + 25 - (8 - 36)).
-5
What is the value of (18 + -33 - -25) + -22?
-12
-171 - -180 - (1 + 0)
8
Calculate (-1 + 13 - (4 + -2)) + -2 - 27.
-19
6 + 5 + -24 + -10 - -7
-16
Calculate (2 - (5 + (-5 - 1))) + -12.
-9
Calculate (43 - 34) + -25 - 10.
-26
Calculate -7 + (-13 - -4) - -2.
-14
What is the value of -33 + -3 + -11 - -9?
-38
-4 - (1 + -4 + -7)
6
Calculate -13 + 5 + 10 + 3.
5
What is -11 + 3 - (3 - 8)?
-3
Calculate -11 - -11 - (0 + (-2 + -2 - 5)).
9
Calculate (1 - -27) + (26 - (30 - -4)).
20
Calculate (-2 - 2) + 2 + -13 + (17 - 6).
-4
Evaluate -12 - (1 + (7 - 17) + 15 - -7).
-25
Evaluate -34 + (-16 - 2 - -8 - (-12 + -2)).
-30
-4 + 1 + (-4 - -12) + 11
16
Calculate -2 - (0 + 25 + -39 + 8 + 33).
-29
What is (-3 - -11) + -8 + 0 - 16?
-16
What is the value of -8 + 3 - (-1 - -22 - (-52 + 42))?
-36
What is the value of 4 + -2 + (-12 - -8 - -8)?
6
Evaluate -7 + -4 + (-6 - -4).
-13
-3 - (-1 + 2) - (0 - -4 - -4)
-12
Evaluate (0 - (-13 + 18)) + -17 + 4.
-18
What is the value of -27 - (-6 + -5 - (2 - 3))?
-17
Calculate 20 + -4 + -21 - (-5 - 1).
1
What is the value of -20 + (31 - (29 - 15))?
-3
Evaluate 1 + -19 + (44 - 37) - (-41 - 4).
34
What is 40 - (16 - (21 - 25))?
20
What is -14 + 4 + 0 - -15?
5
Evaluate 28 + (-21 - 11) - -1.
-3
What is 10 + (12 - 20) + -2?
0
Calculate -13 + -1 + -82 + 87.
-9
8 + -27 - (6 + -46)
21
-13 - (-12 - 6 - -4)
1
What is (1 - (39 - 3)) + -203 + 209?
-29
Evaluate -20 - (-32 + -36 - (-10 - 1)).
37
What is the value of (40 - 32 - (1 + -1)) + -1 + 9?
16
What is -2 + 7 + (-12 + 38 - 22)?
9
-6 + (0 - -1) + -1 - (-21 + -1)
16
What is the value of (16 - -13) + -11 + -30?
-12
What is -387 + 388 - (-22 + 2)?
21
Evaluate -2 + 3 + 15 + 8 + 0.
24
Evaluate (8 - (9 + -12)) + 14 + -4.
21
Evaluate (-2245 - -2250) + (0 - (4 + -2 - 20)).
23
Evaluate 2 + (-3 + (5 + 3 - 14) - -3).
-4
(-6 - -17) + (31 - 53)
-11
Calculate (-60 - (0 - 15)) + 23.
-22
Calculate -8 - 1 - (-193 - -196) - (-25 + 1).
12
14 - ((0 - 2) + 4 + -3)
15
10 + (-6 - -7) - 4
7
Evaluate -15 - (3 + -8 + -8).
-2
Evaluate -6 - -8 - (2 + -1 + 1) - 5.
-5
What is -23 + -7 + 8 + 12?
-10
Calculate (-2 - -4) + 1 + -31 - (-46 - -45).
-27
What is 9 + 11 + -3 + -3 - (19 - 11)?
6
Evaluate 17 + (-16 + 23 - 8).
16
Evaluate (18 - (-6 - -10)) + -10 + 0.
4
-43 + 29 + 28 + -32
-18
What is the value of (-47 - -69) + (-2 - -1) + -10?
11
Evaluate 14 + 0 + 0 - (-6 + 12) - 7.
1
What is -4 + -14 - (-2 + -30)?
14
What is the value of 4 - (5 + (-15 - -32))?
-18
14 + -5 - (-2 + 1) - 13
-3
(2 - 6) + (3 - 7 - (23 - 32))
1
What is the value of 0 - -18 - (37 - 58 - -32)?
7
Calculate (7 - -27) + -26 + (-5 - -1) + -12.
-8
What is 17 + 1 - (-245 - -254)?
9
Calculate 7 + (-9 - (-2 + 14)) + 11.
-3
Evaluate (-5 - (26 - (-30 - -53))) + -1 + 13.
4
What is the value of (-2 - -1 - 1 - (-255 + 225)) + -7?
21
Evaluate -11 + (11 - (-9 + 7)).
2
9 + 0 - (345 + -336)
0
Evaluate (23 - (-26 - -88)) + 7.
-32
What is the value of -6 + (12 - 10) - -5?
1
What is the value of -12 - (5 + -13) - 8?
-12
-4 + -1 + 11 + 2 + 3
11
Evaluate -27 + 5 - -14 - (7 - (0 + 0)).
-15
1 + -8 + 3 + (-5 + 5 - 5)
-9
Calculate -15 + (-5 - (-7 + (-4 - -1))).
-10
What is the value of (5 + -2 - (-33 - -35)) + -4?
-3
What is -183 + 186 - (-5 + 3 + (-9 - -1))?
13
Calculate (-13 - 5 - 3) + 16.
-5
What is 4 - (-20 + (3 - (2 - 6)))?
17
Evaluate -1 + 1 + -108 + 101.
-7
12 + -21 + (-1 - 15) + -4 + 1
-28
Calculate -35 + 35 + (5 - (-1 - (-1 + 12))).
17
Calculate (1 - 8) + -1 + (-7 - -14).
-1
What is the value of 22 - (-4 - (9 - 47))?
-12
Calculate -2 + (-1 - 3 - (-2 - 9)) + 5.
10
(-10 - (-9 + (5 - 0))) + -6
-12
Evaluate (-1 + -1 - -2) + (25 - 34) + 18.
9
Evaluate 4 + (-1 + -2 + 3 - (6 + -7)).
5
Evaluate (50 - (20 + 6)) + -19.
5
254 + -245 + (-11 - -1)
-1
What is -1 + -13 + -94 + 95?
-13
What is the value of 1 + -8 - (-42 + 29 - 3)?
9
Calculate 2 - 17 - (-11 + 13 + -10).
-7
Calculate 1 - ((-10 - -15) + -20).
16
What is 9 - (1 + -13) - 15?
6
What is 12 + 3 + -7 - 20 - -1?
-11
Calculate (-19 - -23) + -2 + -7.
-5
What is the value of 23 - (16 + -14) - 17?
4
Evaluate -25 + (-3 - -3 - 4 - -4).
-25
Calculate 10 + -12 - (-7 + -17 + 0 + -3).
25
What is (-19 - -40) + -19 + (0 - -23) - -2?
27
What is the value of -3 + (9 - (5 - (-1 + 5))) + 5?
10
What is the value of -1 + -2 - (53 - 51)?
-5
Evaluate -661 - -663 - (-1 + 19).
-16
What is the value of (82 - 56) + (-27 - -5)?
4
(14 + -15 - (-1 + -1 - 1)) + 5
7
Evaluate -6 + (30 - -2) + -26.
0
-6 - (29 + 10 - 37)
-8
Calculate 7 + 0 + -10 + (-2 - -3).
-2
(12 - 2 - 20) + (-4 - 0 - -35)
21
Evaluate 1 + (-15 + -7 - -20).
-1
(-7 - 1) + -78 + 104 + -8 - 6
4
Evaluate (7 - 4) + -2 - (1 + 5 + 2).
-7
What is the value of (10 - 18 - 2) + -3 + -1?
-14
Calculate 0 - -11 - (11 + (-9 - (4 - 5))).
8
What is 1 + (0 - -5) + (-3 - (-18 - -5))?
16
Evaluate -22 + 25 + (-1 - 4) - 1 - 2.
-5
What is (1 + -4 - (-10 + 0 + 11)) + -10?
-14
Calculate -3 + -1 + -7 + -4 + 10 + -5.
-10
29 - 48 - (26 - (-5 - -11))
-39
What is 8 + -22 + 6 + -1 + (17 - 43)?
-35
(5 - -8 - 25 - -3) + -7
-16
Evaluate -13 + -6 + -6 + 7 + (2 - -4).
-12
What is (-16 - (18 + -41)) + -10 + 0?
-3
What is the value of 7 + (3 - ((-6 - 3) + 5))?
14
What is 8 + -10 + -1 + 7 + 16?
20
Calculate -2 + (9 - (-6 + 7) - 2).
4
What is the value of (7 - 5) + -5 + 0 + -8?
-11
(-11 - 33) + 17 + (0 - 3)
-30
Calculate -15 - (16 - 18) - -10.
-3
What is (4 - -10) + 3 + -1 + 41 + -45?
12
Calculate -1 - (1 - 10) - (-26 + 33).
1
What is the value of -2 + 0 + 283 + -262?
19
-1 - -2 - (-10 - (-17 - -7))
1
Calculate 274 + -276 + (-1 - -1) + -4 - 2.
-8
What is the value of (-7 + 0 - -1) + -9 + (69 - 63)?
-9
What is -1 + 1 - (-156 - -149)?
7
(-64 - -30) + 29 - (1 + 2)
-8
Calculate (0 - (-4 - 4 - (8 + -11))) + 11.
16
What is 63 + (5 - 38) + -25?
5
Calculate 5 + (-3 - 8 - -29) + 3 - 8.
18
Evaluate -32 + 27 - 1 - -22.
16
Evaluate 6 + 14 + -23 - (2 - (-1 - -6)).
0
What is the value of -12 + (-3 - -10 - (-10 - (12 + -24)))?
-7
Evaluate (11 - 3 - (-10 + (-8 - -8))) + 9.
27
Evaluate (-6 - 1 - -4) + (-46 - -36).
-13
Evaluate -3 + (0 - (0 - (-3 - -9 - 9))).
-6
What is -3 + 6 + (-17 - (0 + 6 + -9))?
-11
What is 9 - ((12 - (43 + -12)) + 3)?
25
Calculate -5 + -5 - (-11 - 2).
3
-42 - (-35 + 9 + -11)
-5
What is -23 + 6 + -4 - (6 - 16)?
-11
What is the value of (0 + 8 - -2) + 6 + (-2 - 6)?
8
Evaluate 8 + (-36 - (-23 + -4 + 8)).
-9
Calculate -1 + -2 - (-1 - (24 + -15)).
7
Calculate 1 - (1 + 1 - -5) - (18 - 9).
-15
What is the value of -8 + (-6 - 0) + 4 + 4 + -9?
-15
(31 - (25 + -14)) + -10 - (0 + 6)
4
What is the value of 12 - (-2 + (30 + -2 - -16))?
-30
What is 1 + (8 - 1) + -227 + 220 - 26?
-25
Evaluate 18 - (-3 - (-28 - -15)).
8
What is the value of -1 + -4 + -1 - (-2 + 8 - 6)?
-6
Calculate 3 + (-23 + 15 - -3) - -28.
26
What is the value of (2 - -6) + (-6 - (3 + 0)) + 16?
15
What is the value of -11 + -8 + 17 - -18?
16
What is (90 - 91) + 2 + 0?
1
Calculate -20 + (-7 - -11) + 4.
-12
What is (24 - -1) + (-70 - (-34 - 41))?
30
What is the value of 13 + ((4 - 0) + -3 - (20 + -21))?
15
What is the value of -29 + (25 - 3) + 18?
11
What is the value of -2 + -1 - (0 - (16 + 6) - -9)?
10
What is -1 + 7 + -10 + -6?
-10
What is the value of 4 - 2 - -1 - (-7 - (15 + -5))?
20
Evaluate -22 + 1 + 0 + 10 + -3 + 3.
-11
Evaluate 4 + (8 - (19 + 9) - (-2 - -5)).
-19
What is 52 + -63 - (2 - 0)?
-13
Evaluate 5 + -15 + 31 + -4.
17
11 + (0 - 11 - (-16 + -11 + 10))
17
What is the value of -18 - (-67 - -82 - (15 - 2))?
-20
Calculate (43 + -1 - -2) + -29.
15
What is the value of -566 + 603 - (1 - -23)?
13
Evaluate 45 + -22 + -3 + 11.
31
Calculate (2 - 9) + (2 + -1 - (12 - 5)).
-13
(-3 - 0) + (26 - 24) - -4
3
Calculate 37 - (-31 - -8 - -48).
12
-49 + 59 - (1 - -7)
2
Evaluate 84 + -54 + -5 + 0.
25
Calculate 5 - 17 - 19 - -60.
29
-117 + 124 + (2 - 24 - (0 - -1))
-16
Evaluate 1 - ((-351 - -309) + (0 - -14)).
29
What is (13 - 5) + 23 + -41?
-10
What is the value of (16 - 3) + -14 + (-3 - 1) - 0?
-5
What is (-8 - 1) + (2 + 1 - 0)?
-6
What is 1637 + -1617 - (-1 - -29)?
-8
Evaluate -3 - (25 + (-1 - 0)) - (-372 - -373).
-28
What is the value of 2 + -1 + (6 - 2) - -7?
12
-19 + 1 + 296 + -283
-5
10 + -12 + -2 + 2
-2
What is the value of -36 + 30 + (5 - (1 - -12))?
-14
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
her -0.329175 and -11.5129796.
-11.8421546
Put together 709.5092543399 and -33.
676.5092543399
Total of 233721.1058214 and -5.
233716.1058214
What is -0.867 minus 440517564?
-440517564.867
What is 9164.1226 + 0.0195?
9164.1421
What is 7837931.03 less than 13181?
-7824750.03
0.153947+13.2280404
13.3819874
Add together 161466227732520 and -0.13.
161466227732519.87
Put together 1142.688242456 and 4.
1146.688242456
Sum 1 and -271900114.16.
-271900113.16
What is -4.38789 minus -716247.7?
716243.31211
Put together 2311318496039 and -0.6.
2311318496038.4
What is 47 + 513335534252?
513335534299
-55806208906411 - -0.2
-55806208906410.8
What is 77.278 - 3065624057?
-3065623979.722
What is 454.575 less than 1.982637?
-452.592363
Work out -14439 - 16822157.
-16836596
What is -486800520 - 1.205?
-486800521.205
Work out -17081.947 - 135.
-17216.947
Subtract 27898 from 102005.038.
74107.038
What is 11490.1 less than 573196464?
573184973.9
What is -31 take away 519972394672?
-519972394703
Total of -0.276857875 and 1.901.
1.624142125
Work out 0.049 - 20134160912.
-20134160911.951
Work out -10088871 + 2.0931.
-10088868.9069
What is -3548.910918 take away 0.04749?
-3548.958408
Add 0.00904 and 156431.863.
156431.87204
-2.623 - 0.5422401
-3.1652401
What is 4076669 minus 258659248?
-254582579
Work out -0.4 - -14409129681418.
14409129681417.6
Work out -2328 - 98652012.
-98654340
Total of 6 and 18345730.49464.
18345736.49464
What is -48380 take away -17.613103?
-48362.386897
Calculate -109657977180 - 0.01.
-109657977180.01
What is -244292769 plus -173.8?
-244292942.8
What is -0.5860202 plus 8808799?
8808798.4139798
Add together 594722562 and -67.7.
594722494.3
What is -193966012 plus -0.03?
-193966012.03
Work out 4 + 103.51778763525.
107.51778763525
Calculate 2.8744422082229 - -0.3.
3.1744422082229
Work out 931.983 + -804858.
-803926.017
Add -79319703 and -0.01975.
-79319703.01975
Calculate -2.9334749743239 - 0.5.
-3.4334749743239
Put together 0.11 and 1165972821852.
1165972821852.11
What is -2 - 12039314509?
-12039314511
What is 0.12237033076 minus -0.02061?
0.14298033076
Calculate -61864957170 + -1611.
-61864958781
What is the distance between -385340634 and 0.0457?
385340634.0457
What is 33 less than 465373372102?
465373372069
Put together 210820957577 and 2.
210820957579
What is -1966663919941 - 3?
-1966663919944
Work out -1357.1493 - -3592.4.
2235.2507
What is -3.99 + -4.46718144?
-8.45718144
Put together 1401526 and 0.0021538.
1401526.0021538
Calculate -2272763789 - -0.068.
-2272763788.932
-14.80449 - -4446
4431.19551
-8748.157065872 - 0.001
-8748.158065872
Total of -63.85955 and 4973.1.
4909.24045
-220142388519 + 2
-220142388517
Total of -1.3674 and -1.7290334.
-3.0964334
Put together -68 and -3360.643463.
-3428.643463
What is 1.11 minus -693521284005?
693521284006.11
Work out 0.5822 - -7099462.
7099462.5822
What is 459993869930 less than 0.41?
-459993869929.59
What is -3.113494576 take away -12541?
12537.886505424
Add together -87975 and -572988.
-660963
Work out 17892314589847 + -0.063.
17892314589846.937
Put together -58.01 and -84712206492.
-84712206550.01
Total of 1091521435 and 1586.83.
1091523021.83
Add -23952 and 4144130.2.
4120178.2
What is -1009551837459 - -2?
-1009551837457
Work out -4992231039477 - -0.1.
-4992231039476.9
What is the difference between 0.5 and -33931454921?
33931454921.5
-15958363089000 - -13
-15958363088987
Calculate 10.38484 + 3591702.63.
3591713.01484
What is 2362.6789 plus -40020?
-37657.3211
Sum -20592 and 12856428.
12835836
What is the difference between -102 and -65689.3074?
65587.3074
What is the distance between -61651957 and 5557112?
67209069
Calculate 21 + -582159093189.
-582159093168
Sum -18.319 and 12881207.
12881188.681
Subtract 0.6205 from -173161.64.
-173162.2605
What is -105710596 - 1557222?
-107267818
Subtract 48855017101 from -5084.
-48855022185
Total of -544054 and -971980815.
-972524869
Calculate -34 + -4167861362573.
-4167861362607
What is 8285607178618 + 0.4?
8285607178618.4
Add 22 and 48618246648.
48618246670
Put together -0.02 and -757329395589.5.
-757329395589.52
Subtract 591382304 from -0.0783.
-591382304.0783
Calculate 4164.25 + 4446802.
4450966.25
20.4 - 264188347
-264188326.6
69665848 + -23
69665825
What is 397783636 less than -7053.3?
-397790689.3
Total of 35077009700 and -24.4.
35077009675.6
What is -312618277 take away -42.22?
-312618234.78
-190.715154+1.4
-189.315154
548520603.33 - -94
548520697.33
What is -3.2 - -1229436336494?
1229436336490.8
What is -42.06032485226 minus 0?
-42.06032485226
-22446194440 + 53.2
-22446194386.8
Calculate -22256320 - -1967.34.
-22254352.66
Sum -0.22804 and -133193527.
-133193527.22804
Add -0.053 and -364976.24069.
-364976.29369
Put together 1352902275 and -208.93.
1352902066.07
What is -0.2257243 + 71510?
71509.7742757
What is -1327014 plus -2.09474?
-1327016.09474
What is the distance between -0.2 and -1566425932269?
1566425932268.8
What is the difference between -11713506630 and -33?
11713506597
What is the difference between -11.8 and 428.1499787?
439.9499787
What is -9658256 + 28869?
-9629387
What is -5264 + 188183.7?
182919.7
Work out -0.65 - 5520434544.
-5520434544.65
5.3 + -14385193647
-14385193641.7
What is 3 - 156.986114619?
-153.986114619
What is -3928132485209 take away -0.2?
-3928132485208.8
Put together 11290873 and -7657977.
3632896
What is -159754387 less than 4611?
159758998
What is -2257 + 3231100.3?
3228843.3
39602 - -3343.217797
42945.217797
Work out -0.05 - 11072995381491.
-11072995381491.05
What is -0.0213 minus 4745703903?
-4745703903.0213
Calculate -105817 + 3384787.
3278970
What is 2765420508 + 0.95991?
2765420508.95991
Work out -0.55046 + -87438246.93.
-87438247.48046
Subtract -0.03538445 from -586737.
-586736.96461555
What is -73.8435 minus -75.9846?
2.1411
What is 13142650717 take away 2502?
13142648215
-70288 + 2235.29466
-68052.70534
Add -5 and -687297660129.
-687297660134
What is the distance between 378 and -6529556948?
6529557326
Sum -5.5686048 and -4.179258.
-9.7478628
What is -26177820.5 take away 147?
-26177967.5
-9085796941+-44.2
-9085796985.2
What is -668577753050 less than -0.1?
668577753049.9
39 + 22290155907
22290155946
Work out 13.21646113523 - -0.6.
13.81646113523
What is 0.0980867 take away -624.852?
624.9500867
Add -4552691358698.08 and 0.2.
-4552691358697.88
Add together -0.224040158669 and 0.0264.
-0.197640158669
Work out -8496338436 + -42.
-8496338478
Work out -1895 - 962460.683.
-964355.683
What is -4 minus 1703731055808?
-1703731055812
Add 275397 and -472076.
-196679
What is the difference between 1323.5 and -7.4330058?
1330.9330058
Calculate 103 + 11936703204.
11936703307
-27.2 + 665946646563
665946646535.8
-0.111616748109 + -0.0995
-0.211116748109
What is 181676848185 + -5?
181676848180
Total of 70401798017 and -36.
70401797981
What is 414298236948.7 minus 0.5?
414298236948.2
Add together -2.4583 and 2039366939.
2039366936.5417
Calculate -15285497.32 - 803.
-15286300.32
Total of 10452712222747 and 0.2.
10452712222747.2
What is 447905003.3459 minus 4?
447904999.3459
What is the difference between -2624 and -197.8848716?
2426.1151284
What is -479784 take away -0.1412798?
-479783.8587202
Add together 4282577684535 and 5.4.
4282577684540.4
Sum -1255271396 and -4511.22.
-1255275907.22
Subtract -0.1011577564 from -748979.
-748978.8988422436
Calculate 25.065823 - -1444874.8.
1444899.865823
Put together 6401802 and 3666.
6405468
Put together -1090200822800 and 17.
-1090200822783
Total of 22662 and 192999155.
193021817
Calculate -0.2 - 0.23564375621.
-0.43564375621
What is 25458.83599 minus 8707?
16751.83599
Work out 62163243074 + -9.9.
62163243064.1
What is -35942951 take away 6641160?
-42584111
What is -57 + 1514.3277324?
1457.3277324
Total of 51.282428 and -1728823.
-1728771.717572
What is -7170 less than 2.856116?
7172.856116
Sum 0.0665 and -94260245.
-94260244.9335
-37214640752.06 - -4
-37214640748.06
Put together 279.798444 and -0.24.
279.558444
Add together 4316835 and -185546958.
-181230123
Total of 0.188 and 362925222.6.
362925222.788
-28.1 - 739429044
-739429072.1
Work out 0.38 + -73212.335183.
-73211.955183
Calculate 83485.62645961 + -2.
83483.62645961
Put together -8843 and 690390.33252.
681547.33252
Add toget
|
{
"pile_set_name": "DM Mathematics"
}
|
9 divide h?
False
Is (45 - 48) + (11541 - -5) a multiple of 84?
False
Let u = -7 - -12. Suppose -118 = -3*c - j - 18, 0 = 5*c + 3*j - 172. Suppose -4*b - 48 = -u*s + 32, 3*b = -2*s + c. Is s a multiple of 8?
True
Suppose -4*x + 13 = 4*m + m, -4*m + 2*x + 26 = 0. Let a(c) = 0*c**2 + 7*c + 3*c**2 + 2*c**2 + c**3 - 2*c**3. Is a(m) a multiple of 6?
False
Suppose -4*o - 747 - 220 = f, 0 = 5*o - 2*f + 1225. Is (-61668)/o - 2/(-9) a multiple of 66?
False
Let y = 14726 + -8472. Is y a multiple of 53?
True
Let t = 2178 + -1038. Let j = -753 + t. Is j a multiple of 7?
False
Let p = -101 - 8. Let t = 107 + p. Is -2 - ((t - -3*2) + -330) a multiple of 27?
True
Suppose 20*i - 23*i = 6. Is (28/56)/(i/(-44)) even?
False
Let o(h) = h**2 - 9*h + 23. Suppose -j - 2*r = 2*j - 24, 0 = -5*j + r + 27. Let u be o(j). Suppose -u*c + 30 = -3*x, 2*x + 10 = c - 3. Does 2 divide c?
False
Suppose -3*a + b = -26, -5*b = -2*b + 15. Suppose a*l - 1568 = -4*f + 5*l, -5*f = 4*l - 1957. Is 16 a factor of f?
False
Suppose 146*j - 295*j + 140*j = -49680. Is 24 a factor of j?
True
Let v = 118 - 120. Let s(f) = 8*f**2 + 2*f + 5. Is 4 a factor of s(v)?
False
Let d = 1 - -2. Suppose -z = -4*j - 5 - 130, d*z = 2*j + 425. Is 13 a factor of z?
True
Let q(r) be the third derivative of r**5/30 - r**4/6 - 2*r**3/3 + 5*r**2. Let l be q(-7). Suppose -5*k = -4*k - l. Is 18 a factor of k?
False
Let m(w) = -44*w - 268. Let n be m(-6). Let h(b) = -122*b - 65. Is 47 a factor of h(n)?
True
Suppose 5*c + 5929 = 4*s, -5418 = -5*s + c + 2009. Is 6 a factor of s?
False
Let p be (10 + (-108)/12)/(2/8). Suppose 4*q + p*y = 1704, 0 = -3*y - 16 + 7. Does 11 divide q?
True
Suppose 8 = -x + 3*k - 1, 5*x - k - 11 = 0. Suppose -3*z = -2*r - 118, x*r - 124 = -3*z - r. Suppose 0 = -2*s + 208 - z. Does 28 divide s?
True
Let f be ((-172)/(-6) + 0)*(-27)/18. Let k = -23 + f. Let v = 45 - k. Does 15 divide v?
False
Let s(i) = 2*i**2 - i + 7. Let f be s(4). Suppose f*b - 31*b - 100 = 0. Is b a multiple of 4?
False
Let t(r) = 71*r - 1363. Is 20 a factor of t(73)?
True
Is 32 a factor of 551040/252*((-36)/20 + 3)?
True
Let w = 81 - 149. Let z = 948 + w. Does 55 divide z?
True
Let o(l) = -l + 40. Let n be o(23). Is 4490/n - 6/51 a multiple of 4?
True
Let l(d) = 5*d**3 + 5*d**2 - 20*d + 2. Let q(n) = 9*n**3 + 11*n**2 - 39*n + 5. Let r(h) = -11*l(h) + 6*q(h). Is r(4) a multiple of 2?
True
Let d(k) = 2*k**3 - 9*k**2 + 87*k - 60. Is d(12) a multiple of 24?
True
Let l be 6 - (-1748)/(6 - 2). Let n = -124 + l. Is 11 a factor of n?
True
Is 16 a factor of (-66)/(-2 - -2 - 25/1200)?
True
Let j = -1730 + 2660. Is j a multiple of 93?
True
Let z(m) = -m - 9. Let a be z(-8). Let g = 4 + a. Suppose -378 = -10*o + g*o. Does 9 divide o?
True
Let b be 1/(-1) + (14 - 6/(-3)). Suppose -4*c + 2*z - b = 5*z, 0 = 2*c - 3*z + 21. Let a(i) = -3*i - 3. Does 15 divide a(c)?
True
Suppose q + 4*x = -2 - 9, -3*x = 4*q + 57. Let t = 21 + q. Suppose -5*r = -2*a + 295, 0 = 2*r - t*r - 20. Is a a multiple of 27?
True
Let h = 291 + -292. Is h - -6 - -94*22/4 a multiple of 18?
True
Suppose 4 = 2*b, 5*a - 803 + 283 = 5*b. Is a a multiple of 34?
False
Let z be ((-6)/(-4))/((-2)/24). Let u(k) = -3*k - 38. Let y be u(z). Is 31 a factor of y/(-12) + (-644)/(-6)?
False
Let u = 200 + -192. Suppose -u*k = -16*k + 1832. Does 13 divide k?
False
Suppose 44 = -5*f + 24. Let h be 1/((-2)/f + (-6)/36). Let q = 32 + h. Is q a multiple of 4?
False
Let w(j) be the first derivative of j**4/4 - 7*j**2 + 4*j + 36. Does 9 divide w(-3)?
False
Let x = 49 + -25. Let m = 35 - x. Suppose 0 = 5*h - m - 19. Is h even?
True
Suppose -4189 = -22*x + 5777. Is x a multiple of 16?
False
Suppose -o + 65 = -3*c - 585, -4*c + 1885 = 3*o. Is 5 a factor of o?
True
Is 245286/27 - 1/(-3) a multiple of 143?
False
Suppose g + 72 = 2*u + 11, -u = -5*g - 35. Does 30 divide 126224/345 + 4/u?
False
Let y = -8875 - -17730. Is y a multiple of 37?
False
Suppose 0 = -166*o + 1853903 - 312759. Is 211 a factor of o?
True
Suppose -16*x + 15*x = -20. Let k = -105 + x. Let l = k - -139. Does 8 divide l?
False
Let g(y) = 7*y + 719. Does 46 divide g(55)?
True
Let p be 2660/8 - 1/2. Let z = p + 857. Does 29 divide z?
True
Suppose 0 = -4*r - 3*z + 22, -24 = r + 4*z - 36. Suppose 0 = 4*g - j - 266, r*g - 4*j - 103 = 169. Does 6 divide g?
True
Let f(v) = 183*v**2 + v + 2. Let x be f(-1). Suppose 0 = 4*h + 8 - x. Is 22 a factor of h?
True
Suppose -22*r + 29902 = -21*r - 3*l, 0 = -5*l + 20. Is 22 a factor of r?
False
Suppose -238380 = -37*v - 21*v. Does 22 divide v?
False
Suppose 0*w + 410029 + 476759 = 63*w. Is w a multiple of 7?
False
Suppose z - 2*z + 7 = j, -5*z + 4*j - 10 = 0. Suppose 11*r - 10*r = 16. Suppose -r = -z*h + 176. Does 24 divide h?
True
Suppose 6*l = 8042 + 8008. Let c = l - 1565. Is c a multiple of 12?
False
Suppose -x - 22 = -2*x. Let i(j) = 3*j + 26. Let g be i(-8). Suppose 3*y = -5*k + 164, g*k - x = y - 84. Does 39 divide y?
False
Does 31 divide (-13 + 14)/(7*4/124628) - 6?
False
Suppose -12*g = -7*g - 15. Let s be 105/(-84)*g/((-3)/8). Is 2/s - (-903)/35 a multiple of 13?
True
Does 23 divide ((-92)/(-10) - 10)*-6445?
False
Suppose 3*b - 5*p - 14 = 2*b, 0 = 4*b + 4*p - 8. Let q be (-6)/b*236 - 1/1. Is (q/(-5))/1 + 4*-1 a multiple of 6?
False
Let a = -9947 + 17538. Is a even?
False
Let y(q) = q**3 - 12*q**2 - q + 23. Let f be y(12). Does 6 divide 3*29 + -14 + f?
True
Let f(m) = -2*m - 2. Let c(q) = -53*q - 96. Let o(x) = c(x) - 3*f(x). Is o(-6) a multiple of 24?
True
Let g(n) be the third derivative of -187*n**4/8 - 7*n**3 + 288*n**2. Is g(-2) a multiple of 15?
True
Suppose b + 3*b = -300. Let c = 197 + b. Is 83 a factor of c?
False
Suppose 2*m - 80 = -f, 3*f + m = 2*m + 254. Suppose -3 = -3*v + g, 3*v + g - 15 = -2*g. Suppose v*t - f = -24. Does 15 divide t?
True
Suppose -612 = -q - 2*d - 151, -2*q + 886 = -5*d. Is q a multiple of 5?
False
Let q(d) = 3*d + 1 + d - 88 + 2*d. Is q(28) a multiple of 15?
False
Suppose -5717 = -7*m + 28303. Is m a multiple of 18?
True
Let l = 10880 - 6344. Does 14 divide l?
True
Suppose 1883 - 633 = d - 4*u, 15 = -3*u. Does 30 divide d?
True
Suppose 14*a + 271*a - 52*a - 1013550 = 0. Is a a multiple of 25?
True
Suppose -x = -2*x + 34. Let h(a) = -a**3 - 14*a**2 - 28*a - 22. Let t be h(-12). Let f = x + t. Is 20 a factor of f?
True
Suppose 3*y = 2*y + 4*v + 2, -4*v = -3*y + 6. Let h(t) = 9*t + 5. Let o be h(y). Suppose -q = -42 + o. Is q a multiple of 4?
False
Is 8 a factor of 348/((-202)/(-505) + (-221)/590)?
True
Suppose 0 = 27*a - 16152 - 3990. Suppose 8*l = -a + 3290. Is 46 a factor of l?
False
Let r = -6477 - -11520. Is r a multiple of 33?
False
Let q(l) = -35*l + 60. Let x be q(-13). Suppose 8*u - 4*u = -5*v + 694, 0 = 3*u + v - x. Is 22 a factor of u?
False
Let f(p) be the first derivative of -p**4/4 - 10*p**3/3 - 11*p**2/2 - 22*p + 12. Let q be f(-9). Is q*(2/(-4) - (-369)/(-12)) a multiple of 25?
True
Is (-117)/195 - (-68823)/5 a multiple of 12?
True
Suppose -m + 3 + 3 = 4*g, -5*m = -g - 9. Suppose 2*i - 3*i + u = -m, i - 4*u = -1. Suppose -6*b = -3*o - 5*b + 289, i*o + 4*b = 269. Does 19 divide o?
True
Let x = 22521 + -20141. Is 119 a factor of x?
True
Let q be (1 - 0)/((-1)/(-64)). Suppose -167*v = -170*v - 156. Let f = q + v. Is f a multiple of 11?
False
Let m(r) = r**3 - 12*r**2 + r - 4. Let x = -8 + 20. Let u be m(x). Is 14 a factor of (4 + 126/u)*4?
False
Suppose 5*j + 10 = -33*m + 37*m, 0 = -4*j + 2*m - 2. Suppose 985 = j*g - z, -16*g = -18*g - 4*z + 1010. Does 15 divide g?
True
Is 34 a factor of ((-2)/(-8) - (-7991)/1220)*2335?
True
Let p(w) = -3*w**2 + 124*w + 165. Let h be p(43). Let s(q) = q**3 - 4*q**2 + 7*q. Let g be s(6). Let y = h + g. Is y a multiple of 24?
False
Let c(w) = -w**3 - w**2 + 2*w + 90. Let y be c(0). Suppose -6*g + y = -5*g. Let x = -58 + g. Is x a multiple of 28?
False
Suppose 4*d - 9703 = -3*n, 2*n = d - 1653 - 770. Is 21 a factor of d?
False
Let d = 25040 + -8595. Is 13 a factor of d?
True
Let p(b) = 6*b - 2. Let g be p(9). Let i = g - 55. Is 27 a factor of 2240/22 - i*(-4)/(-66)?
False
Let n be 8 - -21*8/(-28)*1. Suppose 1051 = 3*y + y + 3*h, -3*h - 503 = -n*y. Is y a multiple of 37?
True
Let g = -42 + 46. Suppose -g*s - 2*r = 910, 594 = 5*s - 5*r + 1709. Let n = s + 336. Is n a multiple of 27?
False
Let t(l) be the sec
|
{
"pile_set_name": "DM Mathematics"
}
|
se
Let t = 5 - -89. Does 30 divide t?
False
Let y(n) = n**2 + 7*n + 3. Does 7 divide y(-9)?
True
Let j = 206 + -118. Suppose y - 2*b - 11 = 0, -4*y + 2 = 2*b - 2. Suppose -31 = y*f - j. Is 11 a factor of f?
False
Let v be (-18)/(-4)*(-28)/6. Let t = 43 + v. Is 22 a factor of t?
True
Let h(k) = -k**2 - 9*k + 11. Let l be h(-10). Let z = l + -1. Let f(n) = -n + 30. Is 15 a factor of f(z)?
True
Is 3 a factor of -2*50*(-4)/8?
False
Let g = -5 - -22. Suppose 2*n + g = 4*x - n, 3 = -n. Suppose 3*j - 3*l - 30 = 0, -j - x*l + 0 + 1 = 0. Does 7 divide j?
True
Suppose 124 = 18*j - 2. Is j a multiple of 5?
False
Let j(b) be the third derivative of -11*b**4/12 - b**3/6 - 7*b**2. Let q = 0 - 1. Is 21 a factor of j(q)?
True
Suppose -3*b - 121 = -460. Does 6 divide b?
False
Let o(j) = 5*j**2 + 3*j + 2. Is o(-7) a multiple of 54?
False
Let h be 33 + (-1 - 0) + 2. Suppose h = 2*d - 26. Is 9 a factor of d?
False
Suppose j - 86 = 4*n, 5*j = 3*j + 5*n + 184. Does 6 divide j?
True
Is 560/9 + (-12)/54 a multiple of 12?
False
Suppose -6 = 2*b + 3*z, b + 4*z = -12 - 1. Suppose -3*w = 3 + b. Let u(y) = -y**3 - y**2 - y + 2. Is u(w) a multiple of 6?
False
Let d(l) = -23*l - 9. Suppose 3*i - 8 = 4*s - 1, -3*s - i - 15 = 0. Is d(s) a multiple of 17?
False
Let a(y) be the third derivative of y**7/5040 + y**6/180 - y**5/30 + 2*y**2. Let m(i) be the third derivative of a(i). Is 2 a factor of m(0)?
True
Let o(f) = f**3 - 7*f**2 - f + 6. Let x be o(7). Let i be (0 - 0 - 165)/x. Suppose 5*g = -5*w + i, 5*w = 3*w + 2. Is 18 a factor of g?
False
Suppose 0 = -3*q + 16 - 4. Suppose -q*d + 2*d = 0. Suppose 5*b - 3 - 227 = d. Is 23 a factor of b?
True
Suppose 58 = 2*r + 2*o, 3 = r - 4*o - 46. Let a = r - 4. Is 7 a factor of a?
False
Suppose -8*g = -5*g - 21. Is g even?
False
Let x be -6*(-2)/(-4) + 1. Let r(p) = 2*p**2 - p + 1. Does 3 divide r(x)?
False
Let k = -22 - -34. Is k a multiple of 3?
True
Let v(h) be the third derivative of -h**6/120 - h**5/24 + h**4/12 + h**2. Let d(k) be the second derivative of v(k). Is d(-6) a multiple of 14?
False
Suppose 3*t - 5*h + 21 = 5*t, -2*t = -5*h + 9. Let d be (-2)/(-3) + (-44)/t. Does 10 divide (-4)/d + (-204)/(-21)?
True
Suppose -3*p - 18 = 4*s, -4*p - s - 24 = -0*s. Let d(x) = -7*x**2 - 7*x - x + x**2 - 2 - x**3. Does 16 divide d(p)?
False
Let w = -7 - -18. Does 9 divide w?
False
Is ((-187)/(-4) - -2)/(4/16) a multiple of 15?
True
Let z be 2 - 3 - (1 + -16). Let m be -4*(-1)/2 - -41. Suppose z = -f + m. Is 13 a factor of f?
False
Let s(f) = 6*f - 7. Let c be s(6). Suppose -c = -5*i + 71. Is 20 a factor of i?
True
Let u(z) = -2*z - 6. Let p be u(-5). Suppose -21 = -f + 5*y, 4*f - 2*f = p*y + 48. Does 13 divide f?
True
Let k = -96 - -140. Does 22 divide k?
True
Suppose -5*w + 10 = -20. Let l(m) = -12*m + 6. Let j be l(w). Let u = -44 - j. Is 17 a factor of u?
False
Let f be (-16)/(-7) - (-6)/(-21). Suppose 0 - 4 = -f*b. Let m(v) = 18*v - 2. Is m(b) a multiple of 17?
True
Let v be (-9)/7 - (-6)/21. Let h(r) = -2*r**3 - r**2 + 1. Let u be h(v). Suppose -u*x = -7*x + 115. Is 12 a factor of x?
False
Let q = 4 - 1. Does 7 divide (q - -1)/(-4) + 11?
False
Suppose -v + 9 = 1. Suppose 5*o = o + v. Suppose -a + 4*a = -o*d + 41, 4*d + 6 = 2*a. Does 6 divide a?
False
Let w = -11 + 76. Is 17 a factor of w?
False
Let z be ((-12)/(-10))/(1/75). Suppose 0*v = -3*v + z. Is 15 a factor of v?
True
Suppose 0 = 3*l - 3*w + 191 - 719, 0 = -3*l - 5*w + 488. Does 17 divide l?
False
Suppose 5*a + 11 = 3*s, -4*s - 7 = 4*a + 21. Is 10 + ((-18)/s - 3) a multiple of 13?
True
Is 388/10 - (-1 - (-16)/20) a multiple of 39?
True
Let t = 3 - 1. Suppose 0 = -5*v - 20, -t*v = -h - 2 + 15. Is h a multiple of 2?
False
Suppose 0 = -4*t - 3*u + 5*u + 458, 0 = -2*u - 2. Is 38 a factor of t?
True
Let b be ((-1)/3)/(5/(-15)). Does 7 divide 2 + (b - (-17 + 3))?
False
Suppose 0*b = -b. Does 10 divide (-30)/(-2) + -3 + b?
False
Let w be (-30)/(-9) - 1/3. Suppose z + x - 2 = 5, 2*z + 14 = 5*x. Let h = w + z. Is 5 a factor of h?
False
Does 8 divide 204 + ((-3)/12)/(3/(-48))?
True
Let u be (5/2)/((-3)/(-6)). Let g be 4/(u/((-15)/2)). Is (10/g)/((-2)/12) a multiple of 5?
True
Let i = -43 - -146. Let n = -56 + i. Is n a multiple of 18?
False
Suppose 2*t - 74 = -2*f, -t + 11 + 26 = 2*f. Let m = -7 + t. Is m a multiple of 22?
False
Let p be 18/12 + (-3)/(-6). Suppose -p = u - 43. Does 17 divide u?
False
Let k = -110 - -158. Suppose -s + 29 = 2*p, 3*s = -5*p + 2*p + k. Is p a multiple of 4?
False
Let o = 209 + -93. Is o a multiple of 9?
False
Suppose 5*k - 14 = x - 2*x, 0 = k - 4*x + 14. Does 15 divide (-1)/(k/180*-2)?
True
Let g(v) = -v**3 - 3*v**2 + 6*v - 5. Let j be 156/(-36) + 4/(-6). Is 10 a factor of g(j)?
False
Let g(j) = -7*j + 1. Let x(m) = -3*m**2 - 18*m - 11. Let a(u) = u**2 + 6*u + 4. Let l(h) = -8*a(h) - 3*x(h). Let d be l(-4). Is 18 a factor of g(d)?
False
Suppose 5*o = -5*d + 145, o + 0*d - 2*d = 38. Suppose -3*t = -t - o. Is t a multiple of 4?
True
Suppose 3*u - 28 = 8. Suppose 144 = 2*h + u. Is 20 a factor of h?
False
Let i(u) = -15*u**2 - 5*u - 31. Let h(v) = 7*v**2 + 3*v + 15. Let l(b) = -13*h(b) - 6*i(b). Let k be l(-7). Suppose k*q = -92 + 312. Does 18 divide q?
False
Suppose 3*g = 2*g + 3*y + 9, -3*g + 2*y + 62 = 0. Does 8 divide g?
True
Let w = -6 - -32. Does 3 divide w?
False
Let t(j) = j**3 - 4*j**2 + 2*j - 6. Let k be t(4). Suppose k*h = -h. Let c = 3 + h. Does 3 divide c?
True
Let z be (-310)/(-110) + 2/11. Let l(n) = 2*n**2 - 3*n + 4. Is l(z) a multiple of 13?
True
Suppose 5*z = -4*y - 15, -z - 6 = 3*y + z. Suppose 3*j = -y*j. Suppose j = -q + 4 - 0. Is 2 a factor of q?
True
Suppose -5*f + 2*f + 3*o + 168 = 0, -4*f - 3*o + 210 = 0. Is 18 a factor of f?
True
Let g = -5 + 10. Suppose -3*o - 3*x + 26 = o, -g*x = -5*o + 50. Is o a multiple of 8?
True
Suppose -4 = -3*x - 8*u + 3*u, -3*x = 2*u - 7. Suppose -x*n + 22 = -44. Is n a multiple of 10?
False
Let a(y) = y**3 - 2*y + 3. Let c be a(3). Suppose -c = 6*r - 8*r. Does 12 divide r?
True
Let m be (35/28)/((-2)/(-8)). Suppose 3*w = a + m, -2*w = 3*a + w - 45. Does 9 divide a?
False
Suppose 18 = -r - 0*r - 4*w, -4*r = -2*w - 18. Suppose 3*g + 3*l = 21, -r*g - 1 - 15 = -4*l. Suppose -p = -g*t + 75, -2*p = t - 2*t + 39. Does 24 divide t?
False
Suppose m + 0*m - 3*v = 114, 0 = 5*v - 10. Does 10 divide m?
True
Suppose -6*c = -5*w - c + 150, 3*c = 4*w - 116. Is 8 a factor of w?
False
Let p = -1 - -4. Does 2 divide p?
False
Let p = 35 + 114. Does 16 divide p?
False
Suppose -921 = -4*t + 143. Suppose -2*z = -0*z - t. Suppose -4*u + z = 5*k - 2*k, 0 = u + 2*k - 27. Is 19 a factor of u?
False
Let w be (0 - 28)*(-12)/7. Let f = -27 + w. Does 7 divide f?
True
Let s be 2/(-4) - (-3)/(-2). Let v be (3/s - -2)*56. Let r = v - 17. Does 11 divide r?
True
Suppose 4*t = 4*w + 6*t - 78, 4*t - 90 = -5*w. Is 11 a factor of w?
True
Suppose -3*t = -5*n - 277 - 459, 3*t - 4*n - 740 = 0. Is t a multiple of 42?
True
Let z be (0 + 2)*(-12)/(-8). Let d(o) = 7*o**2 - z*o**2 + 6*o - 2 + 4*o**2 + o**3 - o. Is 6 a factor of d(-7)?
True
Suppose -m - 3*d + 9 = 0, 6*d - d = 4*m - 2. Let v(g) = -12*g + 3*g**3 + 28*g - 4*g**2 + 3 - 15*g. Is 15 a factor of v(m)?
False
Let u = 935 - 621. Is 13 a factor of u/6 - 1/3?
True
Let x be (3 - 4)*(0 + 1). Let a(l) = -34*l**3 + l**2 + l + 1. Let d be a(x). Suppose -3*r = m - d, -3*m + 8*m = -5*r + 55. Does 6 divide r?
True
Let j = -19 - -24. Suppose 4*v = -j*x + 165 - 60, -4*x + 2*v = -84. Is x a multiple of 5?
False
Let a(w) = 4 - 4 + 5*w - w. Let t be a(2). Suppose b = 4*o - 7*o + t, -o + 31 = 2*b. Is 5 a factor of b?
False
Is (-4)/6*(-561)/22 a multiple of 7?
False
Let i(m) be the first derivative of -m**3/3 + 9*m**2/2 + m - 3. Let x be i(7). Is (3/9)/(1/x) a multiple of 5?
True
Let v be ((-6)/(-5))/((-2)/10). Is 4 a factor of v*1/3*-2?
True
Let t be (-4)/10*(1 + -11). Suppose -p - 1 = -t. Suppose 7*b - p*b - 89 = -5*v, 72 = 4*v + 3*b. Is 19 a factor of v?
False
Let f(o) be the third derivative of o**6/120 + 7*o**5/60 - 5*o**4/12 + 5*o**3/3 + 8*o**2. Let u(y) = -y**3 + y**2 - 8. Let d be u(0). Is f(d) a multiple of 13?
True
Suppose i - 128 = -3*i. Does 14 divide i?
False
Let o = -2 + 14. Let h = 21 - o. Is 3 a factor of h?
True
Let a = -62 + 149. Is a a multiple of 24?
False
Suppose -i = 3*i - 20, 0 = 2*a + 4*i -
|
{
"pile_set_name": "DM Mathematics"
}
|
k + 6*k)*(-k**2 + 4*k**2 - k**2).
-22*k**3 + 2*k
Expand (-9 + 6 + 0)*(-71 - 11*o - 60 + 135).
33*o - 12
Expand (-6 + 1 - 3)*(2*g**3 - g**3 - 2*g**3 + (1 + 0 - 2)*(3*g - 6*g - 3*g)*(-25 - 43*g**2 + 25)).
2072*g**3
Expand (-7 - 1 + 7)*(-72*b**3 + 11052*b - 11052*b) + 0*b**3 + b**3 - 2*b**3 + (-2*b - b + 2*b)*(-b**2 - 2*b**2 + b**2).
73*b**3
Expand (1 - 2 - 1)*(3 + 4 - 4)*(-239*g**4 - 272*g**4 - 1089*g**4).
9600*g**4
Expand (-j + 2*j + j)*(-13 + 21 + 25) + 3*j + j - 2*j + 4*j - 12*j - 18*j.
42*j
Expand (-3*g + g - g)*(g - g - 2*g**3) + (0*g + g**4 + 0*g)*(-24 + 52 + 40) + g + g**4 - g + (-3*g**2 + 2*g**2 + 0*g**2)*(4 + g**2 - 4).
74*g**4
Expand (0 + 5 - 4)*((-s + s + s)*(-3 - 2*s**3 + 3) + 6978451 - 6978451 + 1573*s**4).
1571*s**4
Expand -11007*p**5 + 1820*p**5 + 920*p**5 - 1433*p + 2857*p - 1424*p + (4*p - 2*p - 3*p)*(6*p**4 - 2*p**4 - 2*p**4).
-8269*p**5
Expand (4*h - 4*h - 3*h + (3 - 3 - h)*(3 + 2 - 3) - h + 3*h - 4*h + 162*h + 81*h - 46*h + 4*h - 3*h - 3*h)*(-1 + 4 - h + 0) + 4*h + 2*h**2 - 4*h.
-186*h**2 + 564*h
Expand (4580 - 4580 - 60*n**2)*(19*n**2 + 138 - 138) + (-n + n - 2*n**3)*(2*n + 3 - 7 + 2).
-1144*n**4 + 4*n**3
Expand -r - 2 + 2 + (4*r - 6*r + r)*(1 - 1 + 2) + (0 - 3 + 5)*(-r + 0*r + 3*r) + 0*r - 3*r + 2*r + 3*r - 5 + 5 + (2 - 2 - 2*r)*(0 + 1 - 3) - 2*r + 3*r + r.
9*r
Expand (-2*v**2 - 2*v**2 + 5*v**2)*(2*v**2 - 2*v**2 + v**2) + (-609*v + 42*v - 9327*v**2 + 9325*v**2)*(4*v**2 + 0*v**2 - 2*v**2).
-3*v**4 - 1134*v**3
Expand (3*j + 4*j - 2*j)*(21 - 2*j + 15 - 30).
-10*j**2 + 30*j
Expand (18 - 18 + 32*l)*((-1 + 2 + 0)*(0 + 0 - l) + 96*l - 34*l - 17*l).
1408*l**2
Expand (2*d**2 + 2*d - 2*d - 5*d**2 + d**2 + 2*d**2 + (d - 3 + 3)*(-1 - 2*d + 1) + 230*d**2 + 1741*d - 1741*d - d**2 + 3*d**2 + 0*d**2)*(3*d + 4*d - 3*d).
920*d**3
Expand (308 + 165 + 492 + 752)*(-t - 7*t + t).
-12019*t
Expand (5731 + 4536 - 716)*(-3*h**5 + 2*h**5 + 2*h**5).
9551*h**5
Expand (-3*c + 4 + c**2 - 3 - 3)*(-78725 + 149384 - 75149).
-4490*c**2 + 13470*c + 8980
Expand (-2*w + 2 - 2)*(-4 + w + 4) + 0*w + 0*w - w**2 - 2*w**2 - 21*w**2 + 179*w - 9 - 177*w.
-26*w**2 + 2*w - 9
Expand -4*t**4 + 383*t - 383*t + 11*t**2 - 39*t**4 - 11*t**2 + (-5*t**2 + 6*t**2 - 3*t**2)*(0*t + 2*t**2 + 0*t) - 2*t**4 + 4 - 4.
-49*t**4
Expand (-33*t + 26*t + 17*t)*(-3*t + 0*t + 2*t) + (2*t**2 + 5*t**2 - 10*t**2)*(3 + 2 - 4).
-13*t**2
Expand (-28 + 64*j + 13 + 13)*(0 - 4 - 3 + 9)*(0*j**2 + 0*j**2 - j**3).
-128*j**4 + 4*j**3
Expand -966*h + 22*h**2 + 966*h + (-2 + 0 - 3)*(h - 2*h**2 - h).
32*h**2
Expand (-4*v + 2*v + 0*v)*(3052 - 635*v - 3050 - 18*v + v - 3*v + 3*v + (1 + 1 + 0)*(-v - 2 + 2)).
1308*v**2 - 4*v
Expand (1 + 2 - 4)*(-189*u**2 - 34*u**2 - 21*u**2 + (3*u + 3*u - 4*u)*(2*u + 0*u - 3*u) - 7 - 2*u**2 + 7).
248*u**2
Expand (0*j + 3*j - j)*(1057*j**2 + 3488 - 3488).
2114*j**3
Expand (-3*y + 0*y + y)*(174*y + 198*y - 101*y) - 7*y + 4*y + 5*y + 3*y**2.
-539*y**2 + 2*y
Expand -103*v**4 - 186 + 186 + (13 + 10 + 4)*(-3 - 3 + 7)*(-2*v**4 - 2*v**4 + 2*v**4).
-157*v**4
Expand (-692 - 2037 - 2054)*(-2*r**3 + 2*r - 2*r).
9566*r**3
Expand 3*r**5 + 0*r**5 - 4*r**5 - r**5 - r**5 + 3*r**5 + (2*r**5 + r**5 - 5*r**5)*(-1 + 1 - 2) + (-3*r**5 + 0*r**5 - 2*r**5)*(-21 + 152 + 40).
-851*r**5
Expand -6*c**2 + 6*c**2 + 10*c**5 + (-2*c**4 - c**4 + 4*c**4)*(131*c + 1213 - 4046 - 133*c).
8*c**5 - 2833*c**4
Expand (-14 - 5*u**2 + 14)*((2 - 4 - 1)*(2*u + 2*u - 2*u) - u + 5*u + 5*u + u + 2*u + 4*u)*(1 - 2 - 1)*(1 + 2 - 2) - u**3 + u**3 + 3*u**3.
103*u**3
Expand -8*x**3 + 9*x**3 - 2*x**3 + (-1108 + 1167 - 2801)*(-3*x + 3*x + x**3).
-2743*x**3
Expand (41926 + 368*y - 41926)*((2 - 7 + 2)*(2*y**4 - 2*y + 2*y) + 0*y**3 + 2*y**4 + 0*y**3 + (-y**4 + y**4 - 2*y**4)*(0 + 1 + 2)).
-3680*y**5
Expand (0*i + 2*i + 0*i)*(-10*i + 4*i - 40*i)*(82 + 0 + 296).
-34776*i**2
Expand (-128*f + 69*f + 418*f)*(f + 0*f + f)*(-6 + 1 + 0).
-3590*f**2
Expand -4*w - 2*w**3 + 4*w + (-8 - 12 - 34*w + 18)*(0*w**2 + 3*w**2 - 2*w**2).
-36*w**3 - 2*w**2
Expand (1 - 2 - 2*x - 2)*(206*x**2 + 210*x**2 - 3 - 264*x**2).
-304*x**3 - 456*x**2 + 6*x + 9
Expand (-4484*z - 2752*z + 686*z)*(3 - 1 + 0).
-13100*z
Expand -2038*k + 872*k - 1455*k + (4 - 1 - 2)*(k + k - k).
-2620*k
Expand ((-3 + 3 - 1)*(2*m**2 - 5*m**2 + 2*m**2) + (3*m - 7*m - 2*m)*(-258*m + 95*m + 98*m))*(2*m**2 + 4*m**2 - 3*m**2).
1173*m**4
Expand (0*a + 5*a - 3*a)*(-6*a**4 + 107 - a**4 - 103).
-14*a**5 + 8*a
Expand 9*r**5 - r**4 - 8*r**5 - 2*r**4 + (0 + 0 + 2*r**2)*(-2 + 2*r**3 + 50*r - 50*r + 20*r**2).
5*r**5 + 37*r**4 - 4*r**2
Expand -2675*f**4 + 1627*f**4 + 1808*f**4 + (0*f**3 + 2*f**3 + 3*f**3)*(f + 0*f + 0*f).
765*f**4
Expand (-2 + 2 + 2*w**2)*(4*w + 2*w - 5*w) - 18227*w**3 + 9708*w**3 + 9426*w**3 + 5*w**3 - 2*w + 2*w.
914*w**3
Expand (2*b + 2*b - 2*b)*(-7923*b - 2879137852 + 2879137846 - 3620*b).
-23086*b**2 - 12*b
Expand 91*v**4 - 917*v**4 + 1545*v**4 + (2*v - 2*v + v**2)*(-4*v**2 + 3*v**2 + 3*v**2) - v**4 - 3*v**4 + 6*v**4.
723*v**4
Expand (11 - 11 + 19*b + 2916*b)*(9*b**4 + 5*b**4 - 5*b**4).
26415*b**5
Expand (-2*y - 1 + 1)*(-y**3 + y**3 + 2*y**3) + 568*y - 568*y + 31*y**4 - 5*y**4 + 3*y**4 + 3*y**2 + 4*y**4 + y**4 + 6*y**4 + 5*y**4.
41*y**4 + 3*y**2
Expand (31 - 12 + 29)*(2*y**4 + 24*y**4 + 36*y**4).
2976*y**4
Expand (-472*n + 301*n - 125*n)*(-2*n**3 - 3*n**3 - n**3).
1776*n**4
Expand (4*d + 4*d - 5*d)*(10 + 10*d - 10) - 75*d**2 - 120*d**2 + 42*d**2.
-123*d**2
Expand (-2*j + 5*j - 5*j)*(4*j + 7*j - j) + 70*j - 968*j**2 - 39*j - 33*j.
-988*j**2 - 2*j
Expand (-4*g + 3*g + 4*g)*(-g**2 + 1 - 1) - 5*g**3 + 4*g**3 + 2*g**3 + (-2*g - 3*g + 3*g)*(-7 - 9 + 8)*(11*g**2 + 16*g**2 + 35*g**2).
990*g**3
Expand (2 + 9*n - 3*n - n)*(-3 + 1 + 1)*(-35 + 147 + 147).
-1295*n - 518
Expand 778*b - 778*b - 320*b**3 + (-1 + 2*b**2 + 1)*(4 - 4 + 2*b).
-316*b**3
Expand (-6*z - 4*z + 3*z + 0*z + 0*z - 2*z + (0 + 2 - 4)*(2 - 2*z - 2) - 2*z - 7*z + 2*z)*(-5*z**3 + 3*z**3 + 4*z**3).
-24*z**4
Expand (4*k + 11*k + 8*k)*(-2*k**3 + k**3 + 3*k**3) + (k**2 - 1 + 1)*(-3*k**2 + 2*k**2 - k**2) - k**4 - 5*k**4 + 4*k**4.
42*k**4
Expand (-2*c - 7*c + 2*c)*(12 + 9 - 23 - 2*c**2 - 25*c).
14*c**3 + 175*c**2 + 14*c
Expand (-4069*k + 16*k**2 + 4069*k)*(-4*k**2 - 8 + 8*k**2 - 6*k**2).
-32*k**4 - 128*k**2
Expand (m + 3 - 3)*(-3 + 60452*m - 69552*m + 4 - 1 - 69499*m).
-78599*m**2
Expand (-10*d + 40*d**2 + 10*d)*(-12*d - 3*d - d).
-640*d**3
Expand (-11890 - 9015 + 18498)*(0*n - 2*n - 2*n).
9628*n
Expand (p - 2 + 2)*(5 - 2 - 2 + 3 - 2 - 2 + 5 - 2 - 5 + 3 + 1 - 3 + (4 - 5 - 1)*(-3 - 2 + 4) + 0 - 3 + 2 + 1 - 4 + 1 + 3 - 5 + 0 - 22 + 9 - 30)*(4 - 4 + p).
-47*p**2
Expand -4404*q**2 - 27262*q + 27262*q + (-1 - 1 + 1)*(2*q**2 - 2*q + 2*q).
-4406*q**2
Expand (-31*n**3 - 8*n**3 - 21*n**3)*(5*n + 2*n - 4*n) + (3 - 2 + 6)*(-4*n**3 + 4*n**3 + n**4).
-173*n**4
Expand 8 + 37*t + 111*t - 8 - 5*t - 2*t + 5*t + (t - 2 + 2)*(-1 + 8 + 5).
158*t
Expand (-6*t - 6*t + 6*t)*(44*t - 121*t - 5*t).
492*t**2
Expand -h + 4*h - 2*h + (3 + 7*h - 3)*(-3 + 1 - 2) + (5*h - h - 2*h)*(0 - 1 + 3).
-23*h
Expand (-5*z**2 + 15*z**2 - 2*z**2)*(-z + z + 3*z) - z**2 + z**2 - 4*z**3 - 7*z**3 + 12*z**3 + 17*z**3.
42*z**3
Expand (m - 1 + 687*m**2 + 2 - 698*m**2 + 11*m**4)*(6 + 0 + 0).
66*m**4 - 66*m**2 + 6*m + 6
Expand (-2*j**2 + j**2 - 2*j**2)*(-2*j**3 + 0*j + 0*j) + (-2*j - 4*j + 5*j)*(623*j**4 + 68286*j**2 - 68286*j**2).
-617*j**5
Expand (3 + 0 - 1)*(-2*q - 2*q**2 + 2*q) + (q + q - 3*q)*(215 - 400 + 283)*(77 + 6*q - 77).
-592*q**2
Expand -12*q**3 + 32 + 828*q**2 - 405*q**2 - 423*q**2 - 33*q + (-4*q + 4*q - 2*q**2)*(-4 + 2*q + 4).
-16*q**3 - 33*q + 32
Expand -5*l**2 + 4*l**2 + 4*l**2 - 11719 + 11719 - 802*l**2 + (2 - 4 + 1)*(3*l - l**2 - 3*l).
-798*l**2
Expand (7 - 3 - 39*k - 2)*(43*k + 45*k - 87*k + 1).
-39*k**2 - 37*k + 2
Expand 3 - 3 - c**2 - 4*c**2 - 3*c**2 + 363 - 350 + 2*c + (-2 + 0 - 3)*(0*c**2 + c**2 - 3*c**2) - 2*c**2 + 3*c**2 + c**2.
4*c**2 + 2*c + 13
Expand -603*c - 780*c - 8504 + 8503 + (-c + 3*c + 2*c)*(0 - 2 + 0) - 6*c + 2*c + 2*c.
-1393*c - 1
Expand (-45*u + 21*u + 3 + 23*u)*(u - u - 6*u).
6*u**2 - 18*u
Expand (-55469*f**3 + 257*f - 15*f**4 + 55469*f**3)*(3*f - f - 3*f).
15*f**5 - 257*f**2
Expand (-117 - 17 - 45)*(0 + 0 - 2)*(-3 - 1 + 1)*(-5*d + 5*d - d).
1074*d
Expand 26*j**4 - 88 + 88 + 0*j**4 - 2*j**4 + 3*j**4 + (j**2 - 2*j**2 - j**2)*(2*j - 2*j - 2*j**2) + 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
- o + (2 - 3 + 2)*(4*o + 0*o - 3*o) + 653*o - 61*o + 375*o).
-1938*o**3
Expand (4*u - 5*u + 0*u)*(u + u - u + (-u - 4 + 4)*(-3 + 0 + 1) + 3 - 3 + u)*(-8 + 43 + 14).
-196*u**2
Expand (d**5 - 4*d**5 + d**5)*(0 + 2 - 1) + (-d**4 - 2*d**3 + 2*d**3)*(127*d + 322*d + 103*d).
-554*d**5
Expand (-4 + 2*p + 4)*(22 + 19 + 3)*(-p + 2 - 2).
-88*p**2
Expand (0*l + l + 0*l)*(-18 + 24 + 31).
37*l
Expand (3 - 3 - 3*x**2)*(-x + 3*x - 3*x) - 53*x + 16*x**3 + 53*x + (-2 - 2 + 3)*(2*x**3 - 4*x**3 - x**3).
22*x**3
Expand (-7 + 6*b**2 + 7)*(-3 + 2 - 6)*(b**2 - 2*b**2 + 5*b**2).
-168*b**4
Expand (-3*b + 3*b + b**3)*(0*b**2 + 2*b**2 - 4*b**2) - 16*b**5 + 91*b**5 + 36*b**5.
109*b**5
Expand -5*l**2 + 4*l**2 + 4*l**2 + (9*l - 73*l + 3*l)*(5 - 5 + 2*l) + 2*l**2 - l**2 - 3*l**2.
-121*l**2
Expand (3 + 2 + 1)*(-1 - 1 + 0)*(-5*o - 4*o + 3*o)*(0 - 3 + 4) - 2*o + 4*o - 3*o.
71*o
Expand (4 - 62 - 6)*(-3*k**4 + 7*k**4 + k**4).
-320*k**4
Expand (-1 - 1 + 0)*(z - 6*z**3 + 1106*z**2 + 5*z - 1105*z**2).
12*z**3 - 2*z**2 - 12*z
Expand 2*j**4 + 2*j**4 - j**4 + 1729*j**4 - 950*j**2 + 950*j**2 + (0*j**2 - j**2 + 0*j**2)*(6*j**2 - 2*j**2 - 2*j**2).
1730*j**4
Expand (3*g - 4*g + 2*g)*(2*g**3 + 0*g**2 + 0*g**2) - g**4 + 50 - 137 + 72.
g**4 - 15
Expand (-3*i + 3*i - 2*i**3)*(53 - 6 + 4)*(-i - 3*i + 2*i).
204*i**4
Expand 2*d**2 - 2*d**2 - d**2 + (3*d + 0*d - 2*d)*(-2*d + 5*d - d) + 24*d**2 - 3 + 101*d**2 + 2584*d - 2584*d.
126*d**2 - 3
Expand -3*j**3 + 4*j**3 + j**3 + (5*j - 2*j + 0*j)*(3 - 2*j**2 - 3) + 37*j**2 + 6*j**3 - 36*j**2 + 8*j**3.
10*j**3 + j**2
Expand (0 - 1 + 0)*(-y - 23*y + 9*y) + (-6 + 3 + 4)*(-1 - 2*y + 1) + 3 - 3 - 2*y + 3 + 2*y - 3.
13*y
Expand (11*t - 15*t - 24*t)*(-3*t**4 + 3*t**4 - 2*t**4) - 32*t**5 - 159 + 159.
24*t**5
Expand 2*m**4 - 6 + 1 + 4 + (-5*m + m + 0*m)*(0*m**3 + 5*m**3 - 3*m**3) - 4*m + 4*m - 5*m**4.
-11*m**4 - 1
Expand (-c + 0*c + 2*c)*(1 - 1 + 1 + (2 - 1 - 2)*(-3 + 0 + 2) - 7 - 22 + 0 + 2 + 1 - 4 + (4 + 1 - 3)*(-1 + 0 - 1) + 3 - 4 + 0) - 2 - 3*c + 2.
-36*c
Expand -5*b + 2 - b + b + (-5 - 1 + 4)*(0*b - b - b) + (0 + 1 + 1)*(b - 2*b - 7*b).
-17*b + 2
Expand (10*x**4 + 4*x**4 + 18*x**4)*(0*x + 3 + 0*x - 5*x).
-160*x**5 + 96*x**4
Expand 4*a**3 - a**3 - a**3 + (-61*a**3 + 94*a**3 - a - a)*(-3 + 2 - 2).
-97*a**3 + 6*a
Expand 3*r**5 + 1 - 2*r**5 - 2*r**5 + (-101*r + 101*r - 21*r**5)*(1 + 1 + 0).
-43*r**5 + 1
Expand (-26*j + j - 24*j)*(-5 - j + 5 + (-j + j + j)*(4 + 2 - 2)).
-147*j**2
Expand (-19*t**2 - 24*t**2 + 17*t**2)*(8 + 17 + 15) - t**2 - 4*t**2 + 4*t**2.
-1041*t**2
Expand (6*l - 2*l + l + (-1 + 0 + 2)*(-l + 2*l - 2*l) + 4*l + 16*l - 8*l)*(2*l + 3 - 3).
32*l**2
Expand (-8 - 225*u + 81*u + 7)*(-1 - 1 + 0).
288*u + 2
Expand (2 + 3 - 4)*(-7*k - 4*k**4 + 46*k - 40*k - 6*k**2).
-4*k**4 - 6*k**2 - k
Expand (-60*r**2 - 18270 + 18270)*(1 + 3 - 2)*(-1 - 2 - 1)*(r - 3*r + 3*r).
480*r**3
Expand -3*z**3 + 5*z**3 - 5*z**3 + (0*z**3 + 0*z**3 + z**3)*(-3 + 3 + 2) + 2*z**3 + z**3 - 2*z**3 + (0*z + z - 3*z)*(2*z**2 + 2*z**2 - 2*z**2).
-4*z**3
Expand (-2*o + 2*o + 3*o)*(-37*o**2 + 109*o - 109*o) + 2*o**3 - o**2 + o**2.
-109*o**3
Expand (-g**4 - 3*g**4 + 2*g**4)*(-76*g - 5*g - 502*g).
1166*g**5
Expand (5 - 2*r**2 - 5)*(26*r + 36*r + 58*r + (-3 + 5 + 0)*(0*r + r - 3*r)).
-232*r**3
Expand -a**4 + 1 - 2 + 0*a**4 + (-3*a**2 + 5*a**2 - 4*a**2)*(5*a**2 - 4*a**2 + a**2).
-5*a**4 - 1
Expand (2 - 2 + 1)*(137 - 97*d**2 - 137).
-97*d**2
Expand (4*a + 1 - 1)*(-14*a - 11*a + 0*a)*(3 + 4 - 6).
-100*a**2
Expand (-5 - 4 + 2)*(-5 + 2 - 2)*(3*t**5 + 2*t - 2*t).
105*t**5
Expand ((-5*w + 2*w + 2*w)*(-2*w + 3*w + w) + (-40 + 40 + 8*w**2)*(4 + 9 - 1))*(5 - 3 - 4).
-188*w**2
Expand (1 + 4 + 1 + (0 + 3 - 1)*(3 + 0 - 1))*(-7*g + g - 3*g).
-90*g
Expand ((-1 + 1 + 2)*(-5 + 6 + 6) + 4 + 0 + 10)*(3*u**2 - 5*u**2 + u**2).
-28*u**2
Expand (3*n + 0*n - n)*(n - 3 + 3) + 6151*n**2 + 3 - 6178*n**2 + 3.
-25*n**2 + 6
Expand 11*a**4 + 31*a**4 - 76*a**4 + (4 + 2*a**3 - 4)*(2*a - 4*a + 0*a) + ((5 + 0 - 4)*(3*a - a - a) - 2*a + 6*a - 3*a)*(3*a - 3*a - a**3).
-40*a**4
Expand (-4 + 3 - 1)*(-373 + 88 + 44)*(4 - b - 4 + 1).
-482*b + 482
Expand 659*u + 957*u - 967*u + (0*u + u + u)*(1 + 2 - 5) + 4*u - 3*u + 0*u.
646*u
Expand 2*r - r**2 - 2*r + (0*r**2 - 3*r**2 + r**2)*(-22 + 0 + 3) + 0 + 0 + 2*r**2.
39*r**2
Expand (0*i**3 + 2*i**3 + 1 + 7)*(3*i - 5*i - i)*(-3*i + i + 0*i).
12*i**5 + 48*i**2
Expand (0*i + i + i)*(0*i + 3*i + 2*i)*(11*i - 11*i - 84*i).
-840*i**3
Expand ((-4*o**3 + 2*o**3 - o**3)*(o + 7*o - 4*o) + o**4 - 2*o**4 - 4*o**4)*(-o + 3*o + 0*o).
-34*o**5
Expand (0 + 0 - 2*g**3 + (-2*g**2 - g + g)*(2*g + 3*g - 2*g) - g**3 + 2*g - 2*g)*((2*g + 3*g - 3*g)*(-2 + 1 + 0) - 1 - 5*g + 1 + 5*g - 4*g - 2*g).
72*g**4
Expand (-3 - 5*d + 3*d - 1)*(0 - 3*d + 0 + (-1 + 1 + 2)*(-5*d + 2*d + 5*d) - 2*d + 0*d + 4*d + (1 - 1 + 14*d)*(4 - 2 + 0)).
-62*d**2 - 124*d
Expand 3*q - 2*q + 0*q + (-q - q + 3*q)*(5 - 1 - 2) - 2*q - 2 + 2 - 3*q - 3*q + 7*q + (2 + 4 - 1)*(0*q - 3*q + 2*q)*(6 - 6 + 7).
-33*q
Expand (6*n**2 - 2*n**2 - 3*n**2)*(3*n - 3*n + n) + n**3 + n**2 - n**2 - 27 - 15*n**3 - 2*n**2 + 27.
-13*n**3 - 2*n**2
Expand (3*b**4 + 2*b**4 - 6*b**4)*(-7 + 7 + 3*b) + (-5*b**3 + 9*b**3 - 2*b**3)*(-3*b**2 + 7*b**2 - 2*b**2) + 0*b**5 + 2*b**5 + 2*b**5.
5*b**5
Expand 2*i**2 - 2*i**2 + i**2 + (4*i - 5*i - i)*(-3*i + 4*i - 2*i) + (1 - i - 1)*(-28*i + 8*i + 8*i).
15*i**2
Expand (-5*g + 2*g + 5*g)*(8 - 22 - 33)*(2 + 0 - 3).
94*g
Expand (-3 - 3 + 4)*(1 - 3 + 1)*(11 - 11 - 3*z**2).
-6*z**2
Expand (-2 - 3 + 1)*(-2*h**2 + 0*h + 0*h) + (-2*h**2 - 2*h**2 + 2*h**2)*(-1 + 1 - 2).
12*h**2
Expand (-3 + f + 3)*((3*f + 4*f - 5*f)*(5*f + 5*f - 4*f) + 0*f**2 + 2*f**2 - f**2).
13*f**3
Expand (58*u - 180*u - 100*u - u)*(u**3 - 4*u**3 + 4*u**3).
-223*u**4
Expand (x + 2*x + 0*x + (23*x + 90 - 90)*(-2 + 1 + 2))*(16*x**3 - 3*x**2 - 14*x**3 - 2*x**4 + 0*x**2).
-52*x**5 + 52*x**4 - 78*x**3
Expand (-8 + 3 + 3)*(-b + 3 - 3) + 0*b + 0*b - b - 126*b + 62 - 62 + (6*b - 2*b - 3*b)*(-1 + 5 - 2) + 2*b + 3 - 3.
-121*b
Expand (-2*r - 2*r**4 + 2*r)*(-2 - 1 + 1)*(976 - 603 - 597).
-896*r**4
Expand (2*z**3 + 4*z**3 + 0*z**3)*(1 + 3 + 1)*(2 - 3 + 2)*(0*z - z + 2*z).
30*z**4
Expand -3*t**3 + 3*t**3 + 2*t**3 + (t + 3*t - 2*t)*(-t**2 + 2*t**2 + t**2) - 3*t**3 + 2 - 2 - 123*t**3 - 203*t + 203*t.
-120*t**3
Expand 0*o**2 + 0*o**2 + o**2 + (5*o - 8*o - 5*o)*(1 - o - 1) + (-1 + 2 + 0)*(-5*o**2 + o**2 + o**2) + (-2*o + 2*o - o)*(-o - 3*o + 3*o).
7*o**2
Expand (-3*q**2 + 0*q**2 + q**2 + (4*q - 2*q + 2*q)*(4*q - q - q))*(-2*q**3 + 2*q**3 - 3*q**3) + (-2 - 2 + 5)*(0 - 2*q**5 + 0) + 3*q**5 + q**4 - q**4.
-17*q**5
Expand (0*s**4 - 5*s**4 + 3*s**4)*(3*s + 0*s - 2*s + (2*s - s + 2*s)*(2 - 4 + 3)) + (-8 - 1 - 2)*(0*s**5 + s**5 + 0*s**5).
-19*s**5
Expand (i**3 + 3*i**3 - 5*i**3)*(-i - 2*i + 4*i) + 11*i**4 + 3*i**4 - 75*i**4.
-62*i**4
Expand -m**2 - m**2 + 3*m**2 + (0*m + 0*m + 3*m)*(m + m - 4*m) - m + 0 + 2 - m**2 - 1.
-6*m**2 - m + 1
Expand ((-2 + 2 + 3*o)*(0 - 1 + 0) + 14*o - 16*o + 16*o)*(-3*o - 1 + 1).
-33*o**2
Expand -f**4 - 3*f**4 + 5*f**4 + (-4 + 1 + 0)*(-f**4 - 2*f**4 + 2*f**4) + (233*f - 233*f + 21*f**4)*(6 + 5 - 6).
109*f**4
Expand (-10 + 10 - 2*y)*(-9*y - 11*y + y).
38*y**2
Expand (-9*f + 16*f + 2 - 8*f)*(f + 9 - 9).
-f**2 + 2*f
Expand (-5 + 0 + 3 + (1 + 0 - 2)*(-4 + 3 + 3))*(5*i - 3*i - 4*i)*(-i**2 + i**2 + 2*i**3).
16*i**4
Expand 43*y**4 + 11*y - 11*y + (4*y**2 + 3*y**2 + 0*y**2 + (-2 + 2*y**2 + 2)*(2 - 5 + 2))*(-2 - 3*y**2 + 2).
28*y**4
Expand (-2*p - 3*p - 2*p)*(34*p**2 + 17*p - 17*p).
-238*p**3
Expand -4944*r**5 + 1363*r**4 - 2*r - 1363*r**4 + 2*r + (3*r**3 - 2*r**4 - 3*r**3)*(-2 + 2 + 2*r).
-4948*r**5
Expand (2*h**5 - 2*h**5 + h**5)*(-1704 - 569 - 1275 - 1741).
-5289*h**5
Expand (-598*o - 207*o + 213*o)*(0 + 0 + 2).
-1184*o
Expand ((-1 + 1 - 2)*(3 - 5 + 3) + 4 - 3 - 3)*(0*i + 3*i + 0*i - 3*i - i + i + (-1 + 1 - 1)*(-i + i + i) + i + i + 0*i)*(-7 - 1 - 2).
40*i
Expand -41*s**3 - 2*s + 21*s**3 - 84*s**3 + (-2*s - 2 + 2)*(-2*s + 2*s - 3*s**2).
-98*s**3 - 2*s
Expand (3 + 2 - 3)*(-3*l**5 - 3*l**5 + 31*l**5) + 3*l**5 + 0*l**5 - 2*l**5.
51*l**5
Expand 0*i**3 - 2*i**3 + 2*i**5 - 4*i**5 - 37*i**5 + 29*i**5 - 54*i**5 + (2*i - 1 + 1)*(4*i**4 + i**4 - 4*i**4).
-62*i**5 - 2*i**3
Expand 2*i - 2*i - 6*i + (2 - 2 - i)*(-2 - 10 - 4).
10*i
Expand (4*w + 4 - 7 - 3*w)*(2*w**3 + 8*w - 8*w).
2*w**4 -
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate s(-1).
48
Let j(a) = -106*a + 572. Determine j(5).
42
Let y(c) = -10*c - 316. Give y(-45).
134
Let b(u) = -45*u + 277. Give b(6).
7
Let n(g) = 61*g - 152. Give n(-7).
-579
Let b(p) = p**2 - 2942*p + 113207. Give b(39).
-10
Let s(q) = 2*q**3 - 19*q**2 + 96*q - 2444. Calculate s(13).
-13
Let c(q) = -2*q**2 - 35*q - 43. Determine c(-16).
5
Let r(q) = q**3 + 8*q**2 + 99*q + 511. Determine r(-6).
-11
Let x(u) = 116*u**2 - 5567*u - 58. Determine x(48).
-10
Let r(n) = -64*n - 3474. Calculate r(-54).
-18
Let v(k) = 3*k**3 + 2*k**2 - 7*k + 10. What is v(-3)?
-32
Let c(u) = 5294*u + 47639. Give c(-9).
-7
Let z(n) = n**2 + 29*n + 6. Calculate z(-26).
-72
Let x(y) = 59*y - 411. What is x(7)?
2
Let r(q) = -4*q - 826. Calculate r(-58).
-594
Let c(o) = -o**2 - 1079*o + 2. Determine c(0).
2
Let a(q) = -88*q - 3528. Calculate a(-40).
-8
Let m(u) = 46*u + 155. What is m(-4)?
-29
Let j(v) = -v**3 - 82*v**2 - 103*v - 1776. Determine j(-81).
6
Let j(a) = 41*a + 360. Give j(-10).
-50
Let u(l) = 2*l**3 + 65*l**2 - 35*l - 15. Calculate u(-33).
51
Let q(r) = 11*r**2 - 13*r - 324. Calculate q(6).
-6
Let z(d) = d**2 - 829*d + 827. Determine z(1).
-1
Let v(b) = -7*b**2 + 1888*b - 1349. Determine v(269).
-4
Let k(p) = -3*p - 95. Determine k(-20).
-35
Let w(r) = -707*r + 22. Calculate w(-1).
729
Let f(b) = 173*b + 28383. Calculate f(-164).
11
Let n(s) = -s**2 - 8*s + 749. Calculate n(23).
36
Let q(n) = -n**3 - 41*n**2 - 90*n - 2026. Calculate q(-40).
-26
Let p(s) = -18*s + 451. Calculate p(24).
19
Let d(s) = -160*s - 974. Give d(-6).
-14
Let a(p) = -5*p**3 + 85*p**2 + 192*p - 41. Calculate a(19).
-3
Let m(z) = -31*z**3 - 86*z**2 + 22*z + 3. What is m(-3)?
0
Let j(r) = -r**3 + 9*r**2 + 10*r + 269. Calculate j(11).
137
Let i(q) = -5599*q - 106382. Give i(-19).
-1
Let x(d) = -d**3 - 37*d**2 - 75*d - 47. Calculate x(-35).
128
Let y(i) = -i**3 - 4*i**2 + i + 36. Give y(-4).
32
Let f(a) = 19*a - 2811. Determine f(148).
1
Let w(a) = 235*a - 3065. Calculate w(13).
-10
Let j(t) = t**3 - 29*t**2 + 49*t + 71. What is j(27)?
-64
Let o(u) = 8*u**2 + 2*u - 13. Calculate o(2).
23
Let z(b) = 2*b**2 - 14*b - 158. Determine z(16).
130
Let c(w) = -9798*w - 19592. Give c(-2).
4
Let r(x) = 3*x**2 + 93*x - 48. Give r(-31).
-48
Let y(c) = -c**3 + 11*c**2 - 12*c - 57. Determine y(9).
-3
Let a(p) = p**3 + 5*p**2 + 11*p + 23. Calculate a(-3).
8
Let f(r) = -r**3 + 5*r**2 - 7*r + 7. Determine f(3).
4
Let o(j) = j**3 - 3*j**2 - 4*j + 13. Calculate o(2).
1
Let g(t) = t**2 - 18*t - 1004. Determine g(42).
4
Let q(t) = -10*t**3 - 756*t**2 + 305*t + 72. Give q(-76).
-4
Let w(s) = 30*s + 2183. Determine w(-76).
-97
Let m(z) = -91*z - 609. Calculate m(-7).
28
Let w(p) = 5*p**2 - 270*p + 184. Give w(53).
-81
Let q(c) = -2200*c - 2179. Give q(-1).
21
Let o(k) = k**2 - 20*k + 57. What is o(13)?
-34
Let p(w) = -94*w**2 + 1495*w + 136. What is p(16)?
-8
Let u(n) = 546*n - 5986. Give u(11).
20
Let k(x) = -x**2 + 40*x + 61. What is k(45)?
-164
Let p(w) = 23*w + 48. Give p(-4).
-44
Let a(c) = 183*c - 2090. What is a(13)?
289
Let z(p) = -2*p**2 + 27*p. Calculate z(15).
-45
Let l(f) = 32*f**2 - 5502*f - 349. Determine l(172).
-5
Let x(n) = n**2 + 592*n - 9045. Calculate x(15).
60
Let o(d) = -245*d - 30. What is o(1)?
-275
Let p(t) = -102*t**3 - t + 6. Determine p(-2).
824
Let j(d) = -d**3 + 30*d**2 - 88*d + 185. Determine j(27).
-4
Let l(x) = -7*x - 30. What is l(12)?
-114
Let m(g) = 3*g**3 + 14*g**2 - 3*g - 9. Give m(-5).
-19
Let g(i) = -3*i**2 - 57*i - 57. Calculate g(-18).
-3
Let c(u) = 2*u**3 + 17*u**2 + 10*u - 16. What is c(-8)?
-32
Let c(k) = -53*k - 23. Calculate c(-6).
295
Let g(t) = t**2 - 21*t + 64. Give g(4).
-4
Let k(y) = y**2 + 55*y - 508. Determine k(-63).
-4
Let q(z) = -4398*z - 21994. Give q(-5).
-4
Let g(h) = -10*h - 1. Give g(6).
-61
Let c(u) = -u**3 + 16*u**2 + 57*u - 161. Give c(2).
9
Let s(r) = 79*r - 368. Determine s(0).
-368
Let c(t) = 105*t**2 - 403*t - 75. What is c(4)?
-7
Let n(g) = 26*g**2 - 2448*g + 370. Calculate n(94).
-6
Let z(t) = 9030*t - 36107. Calculate z(4).
13
Let t(y) = 64*y + 2164. Calculate t(-31).
180
Let n(h) = 1278*h + 8923. Give n(-7).
-23
Let x(i) = 80*i + 2454. Calculate x(-29).
134
Let v(d) = -d**3 + 7*d**2 + 25*d + 10. Give v(10).
-40
Let y(x) = 2*x**3 - 49*x**2 - 25*x + 15. Give y(25).
15
Let x(f) = -f**2 - 130*f - 272. Determine x(-128).
-16
Let g(s) = -s**3 - 16*s**2 + 351*s - 42. Give g(12).
138
Let r(g) = -1055*g**2 + 9490*g + 31. Calculate r(9).
-14
Let d(l) = -l**2 + 35*l - 132. Give d(4).
-8
Let o(w) = 58*w**2 - 164*w + 9. Calculate o(3).
39
Let l(s) = 469*s - 5637. Calculate l(12).
-9
Let y(f) = -f**3 - 33*f**2 + 28*f - 175. What is y(-34)?
29
Let o(m) = -2*m**2 + 334*m - 1936. Give o(6).
-4
Let g(i) = -26*i**2 + 13*i + 15. Determine g(4).
-349
Let i(j) = 4*j**2 + 9*j - 15. Determine i(-3).
-6
Let y(u) = 977*u - 8588. Determine y(9).
205
Let t(z) = -z**3 - 10*z**2 + 39*z - 4. Calculate t(-13).
-4
Let v(g) = 3*g**3 - 32*g**2 - 2*g + 15. Give v(5).
-420
Let a(j) = 5*j**3 - 30*j**2 + 10*j - 51. Calculate a(6).
9
Let r(l) = -l**3 - 31*l**2 + 217*l - 236. Determine r(-37).
-51
Let g(b) = -2*b**2 + 202*b + 33816. Calculate g(190).
-4
Let d(x) = -277*x + 32411. Calculate d(117).
2
Let b(q) = q**3 - q**2 - 8*q + 31. What is b(4)?
47
Let j(i) = 150*i + 13244. What is j(-88)?
44
Let i(n) = -n**2 - 34*n + 12. Determine i(-25).
237
Let a(o) = 20*o**2 - 19*o - 67. What is a(-3)?
170
Let h(w) = -35*w - 20. Determine h(-2).
50
Let m(p) = -p**3 - 66*p**2 - 65*p + 32. Determine m(-65).
32
Let f(w) = w**2 - 244*w + 730. Determine f(3).
7
Let a(m) = m**2 + 39*m - 824. Determine a(15).
-14
Let v(k) = -2*k**3 + 3*k**2 - 2*k - 7. Give v(3).
-40
Let w(s) = 126*s + 1902. Calculate w(-15).
12
Let v(r) = r**3 + 58*r**2 + 64*r + 240. Determine v(-57).
-159
Let o(l) = 5*l**2 - 10*l - 159. What is o(-8)?
241
Let w(a) = -a**3 - 29*a**2 - 23*a + 146. Give w(-28).
6
Let x(h) = h**3 - 3*h**2 - 303*h + 1740. What is x(6)?
30
Let v(h) = h**3 - 57*h**2 + 150*h + 650. Calculate v(54).
2
Let j(z) = 2*z**2 + 9*z - 167. Determine j(7).
-6
Let c(u) = -23*u**3 - 8*u**2 - 4*u + 3. Determine c(0).
3
Let l(y) = y**2 + 39*y - 270. Calculate l(10).
220
Let d(b) = 2*b**3 + 11*b**2 - 6*b + 7. Determine d(-6).
7
Let w(o) = -14*o**2 + 14*o + 54. Determine w(6).
-366
Let m(t) = 1153*t + 106087. What is m(-92)?
11
Let v(d) = -2*d**3 - 27*d**2 - 32*d + 113. Give v(-11).
-140
Let v(z) = 5*z**2 + 56*z - 288. What is v(-15)?
-3
Let o(v) = 7*v**3 - 3*v**2 + 15*v - 33. Calculate o(2).
41
Let z(w) = w**2 + 5537*w - 381136. Determine z(68).
4
Let g(d) = 4*d**2 + 20*d - 205. Determine g(-10).
-5
Let g(f) = -3*f**3 + f**2 - 5*f + 10. What is g(-3)?
115
Let w(j) = -2*j**2 - 38*j - 128. Determine w(-9).
52
Let s(x) = -158*x + 5. Give s(0).
5
Let y(j) = -18*j**2 - 9*j - 3. What is y(-3)?
-138
Let i(q) = q**3 - 18*q**2 + 46*q + 47. Give i(13).
-200
Let t(v) = -4*v**2 - 2*v + 12. What is t(-3)?
-18
Let g(y) = -9*y**3 + 6*y**2 + 2*y + 3. What is g(3)?
-180
Let a(b) = b**3 - 8*b**2 + 75*b - 486. What is a(7)?
-10
Let p(b) = -40*b**2 + 996*b + 72. Determine p(25).
-28
Let k(b) = 211*b - 408. What is k(2)?
14
Let q(j) = j**3 + 10*j**2 - 15*j + 27. Determine q(4).
191
Let s(p) = p**2 + 66*p + 19. Calculate s(-67).
86
Let w(j) = -19*j + 18. Give w(40).
-742
Let a(x) = -x**3 - 2*x**2 + 81*x + 17. Give a(0).
17
Let p(a) = 250*a - 21994. Give p(88).
6
Let l(d) = -4*d - 62. What is l(-14)?
-6
Let z(p) = p**2 + 28*p + 226. What is z(-14)?
30
Let j(i) = 13*i**2 - 416*i - 24. Give j(32).
-24
Let q(w) = -341*w + 2679. Calculate q(8).
-49
Let d(n) = 243*n - 2320. Determine d(10).
110
Let l(j) = -8*j**2 + 85*j + 49. Determine l(11).
16
Let a(g) = 2*g**2 - 95*g + 1118. Calculate a(22).
-4
Let i(d) = 506*d + 4989. What is i(-10)?
-71
Let j(i) = 138*i + 3481. Give j(-25).
31
Let i(q) = -236*q - 4966. Give i(-21).
-10
Let d(j) = -10*j + 216. Determine d(2).
196
Let w(b) = -2*b**3 + 24*b**2 + 12*b - 28. Give w(12).
116
Let y(d) = -d**3 + 678*d**2 - 2033*d + 9. Calculate y(3).
-15
Let y(j) = -38*j + 37. Give y(1).
-1
Let n(a) = -2*a**3 - 36*a**2 + 68*a + 14. Calculate n(-20).
254
Let t(g) = -4*g**3 + 5*g**2 - 8*g + 14. Determine t(2).
-14
Let y(w) = -12*w + 232. Determine y(35).
-188
Let q(t) = -t**3 - 6*t**2 - 2*t + 14. Give q(-5).
-1
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
tiple of 11?
True
Is 15 a factor of 2610?
True
Is 4927 a multiple of 103?
False
Does 2 divide 1541?
False
Is 21 a factor of 1445?
False
Is 96 a factor of 1728?
True
Is 7344 a multiple of 27?
True
Does 2 divide 271?
False
Does 21 divide 2331?
True
Is 4921 a multiple of 19?
True
Does 62 divide 1288?
False
Is 5 a factor of 3400?
True
Is 399 a multiple of 3?
True
Is 110 a factor of 12775?
False
Is 178 a multiple of 57?
False
Is 22299 a multiple of 128?
False
Is 1059 a multiple of 4?
False
Is 86 a factor of 9546?
True
Does 9 divide 207?
True
Is 1219 a multiple of 23?
True
Is 3 a factor of 2233?
False
Is 1440 a multiple of 96?
True
Is 5304 a multiple of 34?
True
Is 16 a factor of 9877?
False
Is 9 a factor of 100?
False
Does 312 divide 96720?
True
Is 26 a factor of 33358?
True
Does 44 divide 1144?
True
Does 8 divide 40208?
True
Does 122 divide 50221?
False
Does 13 divide 1050?
False
Is 2925 a multiple of 93?
False
Is 54 a factor of 42336?
True
Does 21 divide 5670?
True
Is 45 a factor of 11864?
False
Is 59 a factor of 10887?
False
Is 2120 a multiple of 20?
True
Is 8 a factor of 2111?
False
Does 70 divide 1120?
True
Is 21 a factor of 63?
True
Is 3 a factor of 2544?
True
Is 2299 a multiple of 11?
True
Does 2 divide 497?
False
Is 1031 a multiple of 52?
False
Is 57 a factor of 26260?
False
Is 6 a factor of 1584?
True
Is 12 a factor of 485?
False
Is 15447 a multiple of 126?
False
Does 36 divide 2268?
True
Is 7530 a multiple of 19?
False
Is 6996 a multiple of 106?
True
Does 5 divide 12815?
True
Is 3683 a multiple of 4?
False
Is 26 a factor of 6240?
True
Is 1362 a multiple of 65?
False
Is 22 a factor of 8822?
True
Is 33 a factor of 660?
True
Is 8 a factor of 88?
True
Is 2153 a multiple of 10?
False
Does 79 divide 19338?
False
Is 2 a factor of 9?
False
Does 43 divide 1375?
False
Is 6 a factor of 3342?
True
Does 15 divide 31753?
False
Is 11856 a multiple of 11?
False
Is 28 a factor of 19377?
False
Does 5 divide 211?
False
Is 5898 a multiple of 7?
False
Is 59 a multiple of 8?
False
Is 10 a factor of 975?
False
Is 6 a factor of 2265?
False
Does 8 divide 10176?
True
Is 93 a factor of 15754?
False
Is 10006 a multiple of 21?
False
Is 15 a factor of 5025?
True
Does 18 divide 267?
False
Does 27 divide 13347?
False
Is 13 a factor of 562?
False
Is 22 a factor of 1606?
True
Is 75 a factor of 4200?
True
Does 27 divide 375?
False
Is 15 a factor of 520?
False
Does 240 divide 96913?
False
Is 65 a factor of 1616?
False
Is 10098 a multiple of 66?
True
Is 12 a factor of 11551?
False
Does 17 divide 4547?
False
Does 8 divide 6130?
False
Does 38 divide 18398?
False
Is 23 a factor of 12538?
False
Does 47 divide 6956?
True
Does 265 divide 104678?
False
Is 11684 a multiple of 92?
True
Is 709 a multiple of 13?
False
Is 1750 a multiple of 35?
True
Is 1867 a multiple of 26?
False
Does 14 divide 2856?
True
Is 784 a multiple of 20?
False
Is 5000 a multiple of 100?
True
Does 16 divide 1832?
False
Is 5691 a multiple of 27?
False
Does 5 divide 329?
False
Is 2544 a multiple of 12?
True
Is 24 a factor of 4207?
False
Does 9 divide 2727?
True
Does 293 divide 49090?
False
Does 33 divide 18637?
False
Does 38 divide 4645?
False
Is 49 a factor of 19404?
True
Is 28 a factor of 560?
True
Does 25 divide 17325?
True
Is 20 a factor of 14950?
False
Is 22 a factor of 37774?
True
Does 20 divide 180?
True
Does 132 divide 17939?
False
Does 21 divide 3694?
False
Does 17 divide 3264?
True
Is 36 a factor of 2572?
False
Is 32928 a multiple of 8?
True
Is 5 a factor of 4598?
False
Is 766 a multiple of 16?
False
Is 11 a factor of 833?
False
Is 31 a factor of 186?
True
Does 2 divide 754?
True
Does 18 divide 9072?
True
Does 5 divide 389?
False
Is 15 a factor of 1858?
False
Does 13 divide 702?
True
Does 38 divide 1581?
False
Does 21 divide 126?
True
Does 2 divide 1879?
False
Does 8 divide 9046?
False
Does 26 divide 60?
False
Does 14 divide 22438?
False
Is 27 a factor of 1492?
False
Is 13 a factor of 251?
False
Is 3962 a multiple of 10?
False
Does 6 divide 37091?
False
Does 16 divide 2279?
False
Is 24058 a multiple of 46?
True
Is 203 a multiple of 3?
False
Does 45 divide 40860?
True
Is 21 a factor of 651?
True
Does 107 divide 963?
True
Is 21 a factor of 767?
False
Does 12 divide 216?
True
Is 12588 a multiple of 59?
False
Does 8 divide 3808?
True
Is 3 a factor of 993?
True
Is 15 a factor of 10481?
False
Is 211 a factor of 8128?
False
Is 20 a factor of 1000?
True
Does 154 divide 4891?
False
Does 122 divide 3050?
True
Is 1040 a multiple of 20?
True
Is 26 a factor of 779?
False
Does 25 divide 33127?
False
Is 23444 a multiple of 3?
False
Is 669 a multiple of 61?
False
Does 17 divide 8042?
False
Does 19 divide 11384?
False
Is 6200 a multiple of 25?
True
Is 9 a factor of 25354?
False
Is 10 a factor of 632?
False
Does 3 divide 106?
False
Is 213 a multiple of 3?
True
Is 58 a factor of 8049?
False
Is 27 a factor of 10789?
False
Is 3005 a multiple of 19?
False
Is 1356 a multiple of 72?
False
Is 121 a factor of 2057?
True
Does 26 divide 1083?
False
Is 17 a factor of 17544?
True
Is 641 a multiple of 15?
False
Is 25 a factor of 1600?
True
Does 77 divide 898?
False
Does 86 divide 11524?
True
Does 31 divide 1541?
False
Is 20 a factor of 8264?
False
Is 153 a multiple of 9?
True
Does 178 divide 41343?
False
Is 969 a multiple of 17?
True
Is 2622 a multiple of 5?
False
Is 15655 a multiple of 37?
False
Is 5778 a multiple of 107?
True
Is 12412 a multiple of 33?
False
Does 37 divide 2035?
True
Is 37 a factor of 42772?
True
Is 1389 a multiple of 41?
False
Is 33 a factor of 297?
True
Is 1370 a multiple of 13?
False
Is 199 a multiple of 17?
False
Is 448 a multiple of 10?
False
Is 2091 a multiple of 17?
True
Is 2 a factor of 899?
False
Does 15 divide 8104?
False
Is 312 a multiple of 3?
True
Is 169 a factor of 2425?
False
Is 14756 a multiple of 34?
True
Does 26 divide 988?
True
Does 6 divide 24?
True
Is 53 a factor of 9485?
False
Is 21 a factor of 2771?
False
Is 15 a factor of 3825?
True
Does 6 divide 2380?
False
Does 63 divide 14863?
False
Is 5280 a multiple of 40?
True
Is 9479 a multiple of 172?
False
Is 34 a factor of 12104?
True
Is 49 a factor of 2597?
True
Is 3767 a multiple of 3?
False
Is 79 a factor of 3746?
False
Is 427 a multiple of 33?
False
Does 28 divide 9807?
False
Does 11 divide 1518?
True
Does 12 divide 50058?
False
Is 841 a multiple of 29?
True
Is 3785 a multiple of 17?
False
Does 33 divide 1108?
False
Is 15 a factor of 2940?
True
Does 34 divide 46896?
False
Is 15 a factor of 4875?
True
Does 13 divide 1315?
False
Does 22 divide 3278?
True
Does 6 divide 1492?
False
Is 13882 a multiple of 27?
False
Is 110280 a multiple of 24?
True
Is 3353 a multiple of 6?
False
Does 5 divide 230?
True
Is 5 a factor of 1180?
True
Does 8 divide 568?
True
Is 593 a multiple of 21?
False
Is 32 a factor of 270?
False
Does 46 divide 1231?
False
Does 48 divide 11853?
False
Does 132 divide 6642?
False
Does 260 divide 88920?
True
Is 49 a factor of 735?
True
Is 2 a factor of 442?
True
Is 52215 a multiple of 15?
True
Is 15 a multiple of 3?
True
Is 100496 a multiple of 44?
True
Does 36 divide 27246?
False
Is 43 a factor of 3271?
False
Is 742 a multiple of 19?
False
Is 17 a factor of 493?
True
Is 4687 a multiple of 46?
False
Does 49 divide 196?
True
Is 23 a factor of 439?
False
Is 26 a factor of 338?
True
Is 49 a factor of 229?
False
Is 7 a factor of 602?
True
Does 7 divide 497?
True
Is 99 a factor of 24392?
False
Is 6118 a multiple of 46?
True
Is 28 a factor of 16626?
False
Is 1400 a multiple of 55?
False
Is 143 a multiple of 2?
False
Does 118 divide 48144?
True
Is 393 a factor of 72703?
False
Does 2 divide 86?
True
Is 6 a factor of 723?
False
Is 1232 a multiple of 7?
True
Is 32 a factor of 17184?
True
Is 33 a factor of 792?
True
Is 246 a multiple of 15?
False
Is 17 a factor of 11966?
False
Does 13 divide 1794?
True
Does 17 divide 3123?
False
Does 22 divide 2112?
True
Is 2 a factor of 9606?
True
Is 16 a factor of 32?
True
Is 504 a multiple of 24?
True
Is 3156 a multiple of 12?
True
Is 11 a factor of 2167?
True
Is 31 a factor of 1220?
False
Does 53 divide 265?
True
Does 73 divide 2190?
True
Is 16 a factor of 239?
False
Does 87 divide 56426?
False
Is 63 a factor of 7246?
False
Does 5 divide 365?
True
Does 7 divide 5733?
True
Is 21041 a multiple of 56?
False
D
|
{
"pile_set_name": "DM Mathematics"
}
|
est value? (a) 2/15 (b) -18 (c) 0.1
b
Which is the fifth biggest value? (a) 4 (b) -0.044 (c) 0 (d) 3/7 (e) -2
e
Which is the second biggest value? (a) 2 (b) -45 (c) 0.1
c
Which is the smallest value? (a) -5 (b) 12 (c) 1/22
a
Which is the fourth biggest value? (a) 1 (b) -1/15 (c) -0.4 (d) -14 (e) -2/3
e
What is the second biggest value in -2, -0.01, -1/2?
-1/2
What is the second biggest value in -5, 0, -0.4?
-0.4
What is the biggest value in -1/3, -11, 0.39?
0.39
Which is the third smallest value? (a) -0.023 (b) 4/5 (c) 3
c
Which is the third biggest value? (a) -1/2 (b) -1/5 (c) 1.3
a
Which is the biggest value? (a) 68 (b) -1 (c) 1.7
a
What is the fourth smallest value in -4, 0.24, -5, 1/3?
1/3
Which is the second smallest value? (a) 5 (b) -1237 (c) 0.5
c
What is the biggest value in -0.01, 0, 0.3, 4?
4
Which is the second smallest value? (a) 360 (b) 0.2 (c) 0.9
c
What is the third biggest value in 0.3, 3/274, 5?
3/274
Which is the third smallest value? (a) 2/15 (b) -4 (c) 2/369 (d) -0.1 (e) 2/3
c
Which is the fourth smallest value? (a) -1/4 (b) 0.05 (c) -7 (d) 1/4 (e) 0.1
e
What is the fourth smallest value in -10, 2, -0.2, -2, 0.5?
0.5
Which is the biggest value? (a) 0.5 (b) 11 (c) 3/5 (d) -45
b
What is the fifth smallest value in -12/29, 3/5, -1, -2.7, -3?
3/5
What is the fifth smallest value in 0.5, 0, 10, 0.2, 5?
10
Which is the smallest value? (a) 0.01 (b) 3 (c) 0.4 (d) 4
a
Which is the smallest value? (a) -0.08 (b) 12 (c) -1/6 (d) -3 (e) 1
d
Which is the third biggest value? (a) -474 (b) 2/7 (c) -1 (d) -2
d
Which is the second smallest value? (a) 4/5 (b) 2 (c) -56 (d) -0.1
d
What is the fourth biggest value in 289, -1, 3/8, -3, -2/9?
-1
Which is the third biggest value? (a) -1/4 (b) -5 (c) -2/13
b
What is the fourth biggest value in 0.2, -1, -0.01, 5?
-1
Which is the smallest value? (a) -1/6 (b) -0.3 (c) -1/4 (d) 1/6
b
What is the fourth biggest value in -1, -4, -16, -2/3?
-16
What is the second smallest value in 4, -0.1, -4, -5.4, 7/5?
-4
What is the biggest value in -5.8, 1/2, 2/21?
1/2
Which is the second biggest value? (a) -25 (b) 2/3 (c) 2
b
Which is the second biggest value? (a) 0.4 (b) 1 (c) -0.84
a
Which is the second biggest value? (a) 3 (b) -2/112555 (c) -1
b
Which is the smallest value? (a) -1 (b) 0.5 (c) -5 (d) -2 (e) -12/19
c
What is the third biggest value in -2, -1.2, -0.3, 0?
-1.2
Which is the second smallest value? (a) 9 (b) 4 (c) -1/14 (d) 2
d
What is the second biggest value in -0.04, -16, 0.1, 3/4?
0.1
Which is the fourth biggest value? (a) -0.1 (b) -8 (c) -1 (d) 2/23 (e) 3/2
c
Which is the second smallest value? (a) 2/13 (b) -16 (c) 2/9 (d) 2
a
Which is the third smallest value? (a) -7 (b) -0.1 (c) -81
b
What is the biggest value in -2/13, -0.1, 3/8, 3/7, 1.2?
1.2
What is the second biggest value in -1, -14, -5, 3?
-1
Which is the fourth biggest value? (a) 2/3 (b) 45/7 (c) 1 (d) 3
a
What is the fourth smallest value in 203, -2/9, 0.06, -1/3?
203
Which is the second smallest value? (a) -4 (b) 324 (c) -3
c
Which is the third smallest value? (a) 11 (b) -4.2 (c) -1
a
Which is the second smallest value? (a) -0.9 (b) 0.07 (c) 2 (d) 5
b
What is the fourth biggest value in 14, -1, -0.4, 3?
-1
Which is the second biggest value? (a) -2/163 (b) 1/3 (c) -3
a
Which is the second biggest value? (a) 2 (b) -42 (c) -5 (d) 0.5
d
What is the second biggest value in -4/7, 5, 7?
5
Which is the second smallest value? (a) 0.2 (b) -0.12 (c) 1/4 (d) -0.4
b
What is the smallest value in 116, 3, 0.1?
0.1
Which is the smallest value? (a) 0.4 (b) 0.35 (c) -1 (d) -5 (e) 3
d
Which is the third smallest value? (a) -4 (b) 0.4 (c) 0.019
b
Which is the smallest value? (a) 4/7 (b) 53 (c) 0.09
c
What is the second biggest value in -2, 1.2, 0.1?
0.1
Which is the biggest value? (a) 0.03 (b) -6.4 (c) -2/5
a
What is the biggest value in 0.5, 15, 1/7?
15
Which is the biggest value? (a) -1 (b) -38 (c) 0.14
c
What is the second smallest value in -2/199, 16, -5?
-2/199
What is the biggest value in -0.2, -14/5, 0.4, -1/3?
0.4
What is the smallest value in 1/5, -3, 4, -10/7?
-3
What is the biggest value in -3, -0.3, 21?
21
Which is the second smallest value? (a) -2 (b) -3 (c) -1.55
a
Which is the smallest value? (a) -0.06 (b) -5 (c) 1 (d) 1/2
b
What is the third smallest value in -4, -24, -3.5?
-3.5
What is the fourth biggest value in 0.3, 3, 23, -0.2, 4?
0.3
Which is the third biggest value? (a) -0.2 (b) -0.01 (c) 17 (d) -1/2
a
Which is the biggest value? (a) 31 (b) -2/9 (c) -0.5
a
What is the third biggest value in 17, -2, 1/8, 0, -5?
0
What is the second biggest value in -0.2, 5, -8, 4?
4
What is the third smallest value in -27, 1/2, -2, 0?
0
What is the third biggest value in -36/5, -0.3, -5?
-36/5
What is the fourth biggest value in 0, 3, -10, -0.2, 2/5?
-0.2
What is the third biggest value in 3, 1/14, 1/4?
1/14
What is the fourth biggest value in 2, -10, -6/7, -3, -1?
-3
What is the fifth biggest value in 0.4, 11/5, 1, -2, 12/13?
-2
What is the smallest value in -7, -106, 2?
-106
Which is the biggest value? (a) -6 (b) 2/5 (c) 0
b
What is the second biggest value in 5, -7, 13/3, -5?
13/3
What is the second biggest value in 3, -1, 4, -0.14?
3
Which is the fourth smallest value? (a) -15 (b) -2/15 (c) -4/7 (d) -0.3 (e) -1
d
Which is the smallest value? (a) -2/7 (b) 3 (c) -2 (d) 1/4
c
What is the smallest value in -56, -1/22, 4?
-56
Which is the second biggest value? (a) 1.5 (b) -0.1 (c) -3 (d) 2/13
d
Which is the third smallest value? (a) 1/30 (b) 1/5 (c) 0.07
b
Which is the second smallest value? (a) 3/7 (b) -4 (c) -1/2 (d) 0.5
c
Which is the second biggest value? (a) -134 (b) 4 (c) 3
c
What is the third biggest value in -83, -1/3, 3, -0.4?
-0.4
Which is the smallest value? (a) -5/2 (b) 2/15 (c) -0.07
a
Which is the fifth smallest value? (a) 0.06 (b) 3 (c) -0.3 (d) -2/3 (e) -3/2
b
What is the third biggest value in -32, -2/11, 4/7?
-32
Which is the fifth biggest value? (a) 1/3 (b) -0.1 (c) 5/3 (d) 0 (e) 81
b
What is the third smallest value in -1, 15/7, 1?
15/7
Which is the second smallest value? (a) -84 (b) 3 (c) -2/5 (d) 1/6
c
Which is the third biggest value? (a) -3 (b) 4 (c) 5 (d) -0.29
d
What is the biggest value in -52, 1/16, 1/7?
1/7
What is the third smallest value in -4/7, 3/20, -0.5?
3/20
Which is the smallest value? (a) 0 (b) -1/5 (c) -5 (d) -1/6 (e) -4
c
Which is the third smallest value? (a) 1.3 (b) 1/6 (c) -1 (d) 1
d
Which is the second smallest value? (a) 125 (b) -4/3 (c) 4 (d) -2
b
Which is the second biggest value? (a) -2/9 (b) -1/454 (c) -0.5
a
Which is the third smallest value? (a) 2 (b) -4 (c) -24
a
Which is the second smallest value? (a) 5 (b) 176 (c) -2 (d) -1/5
d
What is the second smallest value in 0.3, -21, 2?
0.3
Which is the third biggest value? (a) 1 (b) -3 (c) 0.11 (d) -1/4 (e) -4
d
Which is the smallest value? (a) -29 (b) 0.13 (c) 2
a
What is the third smallest value in -14, 0, -1, -3?
-1
Which is the third biggest value? (a) 12 (b) 4/7 (c) 9/4
b
Which is the fifth biggest value? (a) -5 (b) -0.1 (c) -15 (d) -2/5 (e) -26
e
Which is the second biggest value? (a) 2 (b) -4 (c) -25 (d) -18
b
What is the biggest value in -0.2, 0.0567, 0.5?
0.5
Which is the second biggest value? (a) 0.2 (b) -9 (c) -5
c
Which is the second biggest value? (a) 1 (b) 0.2 (c) 16 (d) -4
a
Which is the smallest value? (a) -25 (b) 2/5 (c) 1/6
a
Which is the fourth smallest value? (a) 3 (b) -0.1 (c) 88 (d) -4
c
Which is the fourth biggest value? (a) 0 (b) -132 (c) 1 (d) -3/2
b
Which is the fourth biggest value? (a) 0.4 (b) 0.02 (c) -0.1 (d) -0.5
d
What is the fourth biggest value in 2, -9, 27, -5?
-9
Which is the third smallest value? (a) 14 (b) -9 (c) 0.2
a
Which is the smallest value? (a) 144 (b) -3 (c) 1/2
b
Which is the second biggest value? (a) 0.04 (b) -5 (c) -262
b
What is the second biggest value in 0, -8, -2, 3?
0
Which is the second biggest value? (a) -44.1 (b) -5 (c) 1
b
What is the second biggest value in -1/3, -4, -53?
-4
What is the fourth biggest value in -19, 10/7,
|
{
"pile_set_name": "DM Mathematics"
}
|
t a = -23 - w. Let l = 12.16 + -0.16. Sort -5, a, l in ascending order.
-5, a, l
Let u = 31.3 + -72. Let v = 41 + u. Put 2/9, v, 0.4, -0.3 in ascending order.
-0.3, 2/9, v, 0.4
Suppose 0 = -0*m + 4*m, 2*v = m - 216. Let r = -105 - v. Sort 2, 5, r in increasing order.
2, r, 5
Let s = -1811 - -2300. Sort s, 3, -0.2 in decreasing order.
s, 3, -0.2
Let b = -0.291 + 1.291. Put -2, b, -3, -3/58 in ascending order.
-3, -2, -3/58, b
Let a = 0.248 - -0.052. Put a, -5, -170 in ascending order.
-170, -5, a
Suppose -56 + 2 = -3*o. Suppose -o*i = -22*i - 4. Put 0, 1, i, 4 in increasing order.
i, 0, 1, 4
Suppose 0 = -b - p - 3 - 1, 2*p = -10. Let m = 46.05 + -41.05. Let r = 0.1 - 0.1. Sort r, b, m in descending order.
m, b, r
Suppose 8*k - 24 - 8 = 0. Suppose -k*f = 1 + 3. Put -2, -3, f in ascending order.
-3, -2, f
Suppose 5*q = f - 4*f - 12, 5*q - f = 4. Suppose -2*t = -4*z + 2, z + 35 = -3*t - z. Sort q, -2, t in decreasing order.
q, -2, t
Let u = -97 - -99. Let s be u/((-220)/106) + 1. Sort s, -4, 1/8 in descending order.
1/8, s, -4
Suppose -2*c = -c. Suppose 9*o - 4*o = c. Suppose -3*k + 5*l = o, 3*k + 11 + 1 = l. Sort k, 2, 5 in descending order.
5, 2, k
Let y = -2357/55 + 217/5. Sort -5, -4, y in ascending order.
-5, -4, y
Suppose 4*q + 21 = -3*g + 4*g, 0 = 4*q + 4*g - 4. Suppose -7*y = -34 - 99. Put 4, q, y in decreasing order.
y, 4, q
Let v = 3211.5 - 3216.5. Let d = 87 - 172. Sort v, d, 0.4 in decreasing order.
0.4, v, d
Let n be ((-18)/4)/((-1)/2). Let j(i) = 2*i - 22. Let c be j(n). Sort -1, c, 1, -3.
c, -3, -1, 1
Let q = -375.4 - -375. Put -5/2, 1, q, -22 in decreasing order.
1, q, -5/2, -22
Let f = -82 - -77. Let t = 4 + -3.8. Put t, f, 0.7 in increasing order.
f, t, 0.7
Let d(h) = -h**3 - 4*h**2 + 4*h + 2. Let v be d(-4). Let y = v + 18. Suppose -u - 4*f = -1, -3*u + y = u + 3*f. Put u, -1, 3 in ascending order.
-1, u, 3
Suppose 5*o + z - 64 = 0, 24*z - 22*z = -2. Sort -3, 1, 3/4, o in descending order.
o, 1, 3/4, -3
Let h = -51 - -47. Put 2, -0.2, h, -2/13 in decreasing order.
2, -2/13, -0.2, h
Suppose -5*z - 19 = -0*k - 3*k, -5*z = -2*k + 16. Suppose -3*a = 3*a + 12. Let f = a + -3. Put k, 4, f in ascending order.
f, k, 4
Suppose r + r - 10 = 0. Suppose -2*f - a = -8, -3*a + 5 = f - 2*a. Suppose 71*h - 13 = -13. Put h, r, f in decreasing order.
r, f, h
Let i be (-10)/(-20) + (-9)/(-2). Suppose -i*m - 8 = 2*u, 0*u = 2*u + 4*m + 6. Let b(p) = p**3 - 8*p**2 - 1. Let y be b(8). Sort y, -3, u in ascending order.
-3, y, u
Let f = -377 + 5657/15. Let i = 26.6 - 27. Let h = 136/75 - 12/25. Put h, i, f in descending order.
h, f, i
Let f = 428/9 + -425/9. Sort -5, f, 108, -2/3 in decreasing order.
108, f, -2/3, -5
Let p(n) = 6*n**3 - n**2 + n + 2. Let d be p(2). Suppose 2*u + 10*u - d = 0. Sort 13, 0, u, -4 in ascending order.
-4, 0, u, 13
Suppose 8*x - 20 = 4*x. Let i = 48 - 40. Put i, x, -3 in descending order.
i, x, -3
Let n = 18 - 84. Let l = n + 61. Suppose -7*d + 2*d = -25. Sort -1, d, l in decreasing order.
d, -1, l
Suppose 0 = 24*y - 37 + 13. Put y, 3, 0, -4 in decreasing order.
3, y, 0, -4
Let z be 74350/13110 + -5 - 2/3. Put -2, -5, z in descending order.
z, -2, -5
Let p = 46 + -30. Let w = -21 + p. Put w, 5, 2/3 in ascending order.
w, 2/3, 5
Let y = 0.3258 + -0.0558. Put 0, 0.6, y in descending order.
0.6, y, 0
Let f = 0.11 - -4.89. Sort 2/13, 2, 1/2, f.
2/13, 1/2, 2, f
Let d = 0.2 - 0.7. Suppose -5*q + y - 180 = 0, 2*q + 4*y = 32 - 104. Let g = q + 107/3. Put -0.4, g, d in descending order.
g, -0.4, d
Let v = 1106.6 + -1107. Let n = 8 + -11.5. Let w = -0.5 - n. Put w, -4, v in increasing order.
-4, v, w
Let l = -737.6 + 738. Put -17, 5, l in increasing order.
-17, l, 5
Let y(c) = c**2 - 6*c + 6. Let j be y(4). Let i be j/(4 - (-2 + 5)). Let h be (-12)/(-7) - i/(-1). Sort -2, h, 5 in increasing order.
-2, h, 5
Let o be 5/(-10)*0 - -4. Suppose 0 = -b - 2 + 3, -3*q + 2 = -o*b. Sort 1, 2/9, q.
2/9, 1, q
Let p = -12 + 7. Let l be ((-18)/(-135))/((-2)/(-10)). Sort p, 5, 0.5, l in increasing order.
p, 0.5, l, 5
Let k = 4 + -37. Let p = 23 + k. Let s be (-60)/p*(-1 + 0). Put 1, s, -1 in ascending order.
s, -1, 1
Let v = 520 + -509. Put -5, v, 0.03, -3 in increasing order.
-5, -3, 0.03, v
Suppose 9*z - 25 = 6*z + 2*w, 5*z = 5*w + 50. Put -125, 0, z, 4 in decreasing order.
z, 4, 0, -125
Suppose -2*c - 2 = -3*r - 3*c, -5*c + 10 = 0. Let w be r/(-4)*(0 - -1). Let l = -1 + 2. Put l, w, 5 in descending order.
5, l, w
Let k = -19 + 23. Suppose 0 = -3*z - 4*s + 8, z + 3*s = -2*z + 6. Put z, k, -1 in increasing order.
-1, z, k
Let c = -0.3 + 0.2. Let m = 3.72 + 1.28. Put c, m, -1/2 in increasing order.
-1/2, c, m
Let v = -1/227 - -688/1589. Let d = -5.641 - -5.341. Let i = 13 - 18. Put d, i, v in descending order.
v, d, i
Let n = 67 - 67.132. Let f = n + -0.868. Let h = 0.9 - 0. Sort h, 3, f.
f, h, 3
Let g = 35 - 31.4. Let i = 6.6 - g. Let c(a) = a + 1. Let v be c(-1). Sort 0.5, i, v.
v, 0.5, i
Let i = -13 + 9. Let j = 4 + i. Let q(t) = -t**3 + 9*t**2 + 6*t + 44. Let k be q(10). Sort j, k, -3 in increasing order.
-3, j, k
Let t = -11 + 11.7. Let w(h) = -4*h - 8. Let l be w(-3). Suppose 0 = -v + 4*r + 3 + 1, -4*r = l*v - 16. Sort -0.5, t, v.
-0.5, t, v
Suppose -5*b - 199 = 4*j, -3*j = -8*j - 5. Let p = b + 42. Let w be (-2)/(-2*1) + 1. Sort p, 1, w in increasing order.
1, w, p
Let m = 2133 + -2131. Sort -11, m, -16 in descending order.
m, -11, -16
Let s = -0.18 + -2.22. Let x = -1.4 - s. Let h = 1 - x. Sort 1/8, -2, h in descending order.
1/8, h, -2
Let r = -268 - -264. Sort r, -6, -13.
-13, -6, r
Let b = 0.1102 - 3.1102. Put 16/9, b, -2 in decreasing order.
16/9, -2, b
Suppose 3*j = c + 7 + 10, -2*j + 18 = -4*c. Put -4, c, 6, 2 in ascending order.
-4, c, 2, 6
Let l be (-1 + 4)*(41 + -42). Sort l, -4, 2, 1.
-4, l, 1, 2
Suppose -4*s + 5*s + 2 = 0. Let o be (-2)/(-4) + (-9)/s. Sort 1, 4, o in increasing order.
1, 4, o
Let u = -7 - -12. Suppose 0 = -3*i, -2*y - 4*i = -0*y + 10. Let a = 233 + -237. Put u, a, y in descending order.
u, a, y
Suppose -1 = 35*b - 36*b. Sort -0.2, b, 9/7 in descending order.
9/7, b, -0.2
Let z = -7.48 + -0.52. Let f = z - -8. Put 6, 2/3, f in ascending order.
f, 2/3, 6
Suppose -5*o + 0*u - u + 11 = 0, -o + 5*u - 3 = 0. Sort o, 1, -20 in descending order.
o, 1, -20
Suppose 0*y + 6 = -3*y, -3*z + 3*y = 6. Let d(t) = t**2 + 7*t - 4. Let c be d(-8). Suppose -c*p - 17 = -4*s - 1, -4*s = -12. Sort p, -5, z in increasing order.
-5, z, p
Let y = 6 - 17. Let t = 11 + -2. Let n = y + t. Put -2/3, -4, n in increasing order.
-4, n, -2/3
Let j be 0/2 + 2/8. Let z = -144 - -91. Let k = 51 + z. Sort 1, k, j in increasing order.
k, j, 1
Let m be (-4)/7*5*(-84)/(-120). Sort m, -18, 1 in decreasing order.
1, m, -18
Let l = 63 - 89. Let f = -28 - l. Put 1, 0.3, f in ascending order.
f, 0.3, 1
Let p(o) = o**2 - 6*o + 3. Let q be p(2). Suppose 2*k = 3*v + 6*k - 7, -3*k = -3. Let d = -120 - -123. Sort v, d, q in decreasing order.
d, v, q
Let m = -7 - -12. Let c = 85 + -77. Suppose 12 = -c*n + 2*n. Sort m, n, -0.2.
n, -0.2, m
Let h = -138 - -142. Sort -2, h, 11 in ascending order.
-2, h, 11
Let w(b) = b**3 - 16*b**2 + 22*b + 7. Let a be w(2). Put a, 140, 5 in ascending order.
a, 5, 140
Let n = -154 + 153. Sort n, -13, -2 in decreasing order.
n, -2, -13
Suppose -8*u - 44 + 44 = 0. Let p be u + 0 - (-252)/98 - 3. Sort -1/3, p, 2/3, 2/11 in ascending order.
p, -1/3, 2/11, 2/3
Suppose 12 = 4*w - 0*w. Let l = -6 + 6. Suppose 0 = -l*o + w*o - 2*i - 11, 2*o - 3*i = 4. Put o, 1, -4 in decreasing order.
o, 1, -4
Let h(y) = -y**2 + 17*y + 9. Let q be h(17). Sort -5, q, 0, 3 in ascending order.
-5, 0, 3, q
Let z = -0.2378 + -0.1622. Sort 1, 0.18, z in ascending order.
z, 0.18, 1
Suppose -15 = 4*l - 7*l. Let r(a) = -a**3 + 3*a**2 - 2*a - 2. Let w be r(2). Let u(o) = 3*o + 2. Let g be u(-2). Sort w, g, l in ascending order.
g, w, l
Suppose -h - 480 = -41*h. Sort -3, 5, 2, h.
-3, 2, 5, h
Suppose 25 = -5*l - z, -2*l + 3 = l - 3*z. Let j be -42 + 41 + (0/2 - -1). Sort l, j, -5 in increasing order.
-5, l, j
Suppose -w - 2*g = -6*w + 374, -w + 66 = 4*g. Let j = 68 - w. Sort -2, j, 5, 3.
j, -2, 3, 5
Let o(g) be the third derivative of 0*g + 0 - 1/12*g**4 + 1/6*g**3 - 8*g**2. Let t be o(2). Sort 2/15, t, 0.3.
t, 2/15, 0.3
Let p be 8052/3432 + 2/13. Sort -2, p, 1/3, 3/5
|
{
"pile_set_name": "DM Mathematics"
}
|
l**4 - 32*l**4 in the form b*l + j*l**2 + c*l**3 + n + w*l**4 and give w.
58
Express 4 - 52*w - 58*w - 7*w + 11 - 6 in the form f*w + j and give f.
-117
Express 16088*g**3 + 1 + 0 + 76*g**2 + 250*g**2 + 1 - 16090*g**3 + 2*g in the form j*g**3 + w + o*g + u*g**2 and give o.
2
Rearrange 10 + w**3 - 2*w**2 - 34*w - 12*w + 6 - 18*w + 30*w to a*w**2 + i + z*w + x*w**3 and give a.
-2
Rearrange 132 - 296 + 105 + 5*h + 4*h - 6 + 6 + 2*h + 4 - 4 + (2 + 2 - 3)*(0*h - 3*h + h) + 3*h - 3*h - h to p + t*h and give p.
-59
Rearrange (-167*p - 3163*p - 2145*p)*(-2 + 6 - 5)*(0*p + 0*p + 3*p) to the form x + w*p + d*p**2 and give d.
16425
Rearrange (-272 + 272 + 33*p)*(224*p - 39308 + 39308)*(5 - 2 - 4) to l*p**2 + q + m*p and give l.
-7392
Express 2 + 20*x**2 - 103*x**4 + 287*x**4 - 87*x**4 - 98*x**4 in the form q*x**4 + b*x + t + a*x**3 + l*x**2 and give l.
20
Rearrange -55 + 159 - 51 + 55*b - 52 to the form o + v*b and give v.
55
Express 285*a**2 + 1210*a**2 - 2213 + 776*a**2 + 2213 in the form v + n*a**2 + d*a and give v.
0
Rearrange 1025*h + 4*h**4 - 504*h + 26*h**2 - 519*h - 2 to u*h**3 + f*h + l + i*h**2 + x*h**4 and give l.
-2
Rearrange -2*p**3 - 101*p**2 - 7 + 6 - 2*p**4 + 19795*p - 19797*p to the form a*p**3 + m + d*p**2 + v*p**4 + b*p and give d.
-101
Rearrange -31*m + 146*m - 12*m + 8*m**2 - 49*m to t*m**2 + i + r*m and give i.
0
Rearrange 42*x**4 - 193*x**3 + 192*x**3 - 4*x**2 + 2 - 2*x**2 - 137*x**4 to the form f*x**3 + s*x**2 + n + l*x + j*x**4 and give s.
-6
Rearrange (15*b**3 - 22*b**3 - 3 - 2)*(-2 - 2 + 6)*(5 + 1 - 4) to the form j*b**3 + u*b + s + c*b**2 and give j.
-28
Express 240*a**4 + 243*a**4 - 297*a + 2 + a**3 - 730*a**4 + 248*a**4 - 1469*a as o*a**2 + t + k*a**3 + l*a**4 + x*a and give t.
2
Express -126*o - 2067*o - 2340*o + 74*o as c*o + u and give c.
-4459
Express 0*n + 0*n - n**2 + (5*n - n + 10*n)*(11 - 6 + 2)*(-1 + 1 - 4*n) as i*n**2 + q*n + w and give i.
-393
Rearrange -4*z**2 - z**3 - 3*z**2 + 0*z**2 + 876 - 1142 to the form o*z + a + k*z**3 + b*z**2 and give a.
-266
Express (1 - 4 + 1 + (-1 + 0 - 1)*(1 - 7 + 1))*(1763*s**3 + 2745*s**3 - 2713*s**3) as t + c*s + j*s**2 + o*s**3 and give j.
0
Express -192*l**2 - 453*l**2 + 219*l**2 + 10*l - 286*l**2 as y*l**2 + g*l + x and give y.
-712
Express 253*n + 159*n - 25*n in the form g*n + k and give k.
0
Rearrange (-17*k**2 - 8*k**2 - 7*k**2)*(-7*k + 2*k + 11*k) - 3 - k**3 + 3 - 3*k**2 + 3*k**2 - 2 - 2*k**3 to b*k**2 + u + t*k + r*k**3 and give r.
-195
Rearrange 138153*t - 2*t**4 - 138154*t + 5 - 44*t**2 - 7 - t**3 to the form p*t**3 + i*t**2 + b*t + l + y*t**4 and give i.
-44
Express (1257*k**4 + 4498*k**3 + 1522*k**4 - 4498*k**3)*(1 - 4 + 13) as u*k + a*k**4 + l*k**3 + j*k**2 + o and give l.
0
Rearrange (2*f + f - 6*f)*(-6132 + 3323 + 4538 + 1018 + 1812) to the form c*f + x and give c.
-13677
Rearrange (8*r - 1 + 1)*(2*r - 3*r - r)*(11*r**2 + 73*r**2 + 20*r**2) to the form u*r**2 + s + o*r + g*r**4 + v*r**3 and give g.
-1664
Rearrange -206 + 9*z + 304 - 4*z + 550 + 281 to x + f*z and give f.
5
Express 270*y - 4910 + 141 - 271*y as f*y + h and give f.
-1
Rearrange 25*r**4 - 10*r**4 + 299*r + 1 - 294*r to c + h*r**2 + i*r**4 + v*r**3 + u*r and give u.
5
Rearrange (-2072 + 4230 + 3128 + 1358 + 1962)*(-3 + t**2 + 3) to k*t**2 + g*t + v and give k.
8606
Express i**3 - 11*i + 919 + 24*i + 17*i - 919 - 11*i**2 in the form n*i**3 + b + d*i**2 + v*i and give n.
1
Rearrange 196*k - 3*k**2 + 3*k**2 + 2 - 3*k**3 - 254*k + 176*k to the form c*k + z*k**2 + j + m*k**3 and give m.
-3
Express -19*z**2 + 34*z**2 - 16*z**2 + 485*z**3 - 586*z - 487*z**3 as n*z + f + q*z**2 + y*z**3 and give n.
-586
Rearrange (-4*y + 0*y + 3*y)*(6*y - 3*y - 4*y) - 9 + 9 + 16*y**2 + (9 + 0 + 3)*(7*y**2 + 9*y**2 + 5*y**2) to u*y**2 + o + x*y and give u.
269
Express (x + 4*x - 4*x)*((5 + 13 + 3)*(1 + 2*x - 1) + 8*x + 0*x - x) - 5*x**2 - 2*x**2 + 5*x**2 as w + y*x**2 + d*x and give d.
0
Express -1 + 706*h**2 + 444*h**2 - h**3 + 366*h**2 + 297*h**2 + 510*h**2 in the form y*h**2 + a*h + w + g*h**3 and give w.
-1
Express 489*b**3 + 289*b**3 - 722*b**3 - 54*b + 0 + 0 as d*b**3 + x + t*b**2 + j*b and give d.
56
Rearrange (-11 + 2*s + 11)*(0 + 0 - 24*s) + 0*s**2 + 8*s**2 - 3*s**2 to the form q + b*s**2 + v*s and give b.
-43
Rearrange (-3 + r + 3)*(-2*r + 4 - 4)*(-7390 + 1506*r + 7390) to the form x*r + b*r**2 + h + w*r**3 and give w.
-3012
Express -954*k + 1915*k - 962*k + 2683 as d*k + i and give i.
2683
Rearrange -68*s - 137*s - 1070*s - 1611*s to f*s + d and give f.
-2886
Express -600503*i + 255*i**2 + 600503*i - 6 + 1 as q*i**2 + u*i + x and give x.
-5
Express 272*z**2 + 228*z**2 - 583*z**2 + 8*z in the form k*z + q*z**2 + o and give k.
8
Rearrange 9*k - 2 + 69*k**3 - 7 + 6 + 8*k**2 - 67*k**3 + 0 to the form o*k**3 + l + m*k**2 + s*k and give s.
9
Express -501*a**3 + 386 + 200*a**3 - 2*a**2 - 387 - 532*a**3 - 360*a**3 + 2*a in the form g*a**3 + b + c*a + k*a**2 and give c.
2
Express 40*u**2 + 1 + 16*u**4 + 5*u - 38*u**3 - 19*u**4 - 47*u**2 + 34*u**3 in the form a + y*u**2 + x*u**4 + g*u + z*u**3 and give z.
-4
Rearrange (957 + 410 - 21)*(-2 + 2 - 3*t) to j*t + a and give a.
0
Express (-25 + 0*m**3 + 2*m**3 + 23 - m**2)*(-m + 1 - 1 + (2 - m - 2)*(161 - 81 + 113)) in the form g + l*m**3 + q*m**4 + u*m + z*m**2 and give l.
194
Rearrange 65 - 6 + 51 + 2*b**4 + (-1 - 3 + 5)*(-99*b**4 - 24*b**3 + 24*b**3) to the form o*b + j*b**2 + r*b**3 + w*b**4 + i and give i.
110
Rearrange (q**3 + 0*q**3 - 3*q**3)*(-30 + 178 + 272) - 3*q**3 + 2*q**3 + 0*q**3 to n*q**2 + c*q + u*q**3 + x and give u.
-841
Express (-8 + 8 + 48*z)*(1 + 0 + 1)*(-3 + 42 + 61) in the form j + c*z and give c.
9600
Rearrange (2 - 1 + 0)*(4*g + 2*g - 4*g) + (10 + 31 + 14)*(-4*g + 5 - 5) + 0 - g + 0 to the form j + p*g and give j.
0
Rearrange -165*k**3 + 1 + 362*k**3 - 184*k**3 + 7*k**4 + 2*k**2 to the form l*k + o*k**4 + w*k**3 + s*k**2 + g and give g.
1
Rearrange 97*o + 816 - 64*o + 57 - 38*o to s*o + n and give s.
-5
Express (0 - 3 + 1)*(42 - 42 - 20*y)*(-8*y - 10*y + 22 + 16*y) as c + i*y + l*y**2 and give l.
-80
Rearrange -938*p**2 - 349*p**2 + 222*p**2 + (2 - 2*p - 2)*(p - 2*p + 3*p) + 0*p + 0*p - p**2 to the form y + a*p**2 + b*p and give a.
-1070
Express -71 - 78 + 151 - 18*l - 58 as b + v*l and give b.
-56
Express 148743*b**2 - 148743*b**2 - 3*b**4 - 101*b + (-2*b + b + 3*b)*(-3*b**3 + 2*b**3 - 3*b**3) in the form v + h*b**2 + c*b + o*b**3 + t*b**4 and give c.
-101
Express (41 - 32 + 60)*(4*y + 3*y**2 - 4*y)*(-17 + 3 - 2) as z*y + h + x*y**2 and give x.
-3312
Rearrange (233*h**2 - 233*h**2 - 213*h**3)*(-211 + 211 - 173*h) to the form s + b*h**3 + g*h**4 + x*h + q*h**2 and give g.
36849
Rearrange x**3 - 15112*x**2 - 2*x**3 - 1987*x**2 to q + h*x**3 + f*x**2 + j*x and give h.
-1
Rearrange (-27 - 31 + 42 - 2 + 4 - 1 + (-2 + 2 - 1)*(1 - 1 - 2))*(-2 + 2 + 1)*(4*a**2 - a**2 + a**2) to the form h*a + k*a**2 + y and give k.
-52
Rearrange 4845*x - 1120*x - 1206*x + 1970*x + 3817*x to the form t*x + k and give t.
8306
Express -20*r**4 - 147548 + 2*r + 147551 - 24*r**3 + 19*r**4 in the form o*r**4 + l*r + t*r**3 + w + p*r**2 and give l.
2
Rearrange -3216*q + 6479*q - 3263*q - 50*q**2 + q**3 to v*q**3 + m + c*q + p*q**2 and give v.
1
Rearrange (-2 + 3 - 5)*(-2 - 14 - 10 + (-1 + 2 - 2)*(-1 - 3 + 5))*(7*n - 45 + 45) to c + v*n and give v.
756
Rearrange (-3*y + 0*y + y)*(-104*y - y**2 + 15*y - 94*y + 38*y) to u*y**3 + m*y + p + r*y**2 and give r.
290
Express (-462*h**3 + 1129 - 1109 + 66*h**3)*(-2*h + 4*h - h) in the form m*h**2 + f*h + j + w*h**3 + v*h**4 and give v.
-396
Express (2*q**2 + 0*q**2 + 0*q**2)*(7 - 5*q - 7 + (5*q + q - q)*(5 - 4 - 4))*(-13*q + 2*q + q) in the form x*q + c*q**2 + i + v*q**3 + s*q**4 and give s.
400
Express -20*u - 62*u + 1 + 157*u + 151*u as s*u + w and give s.
226
Rearrange ((0*u - 2*u - 4*u)*(7 - 3 + 2) + (-4 + 2 + 4)*(1 - 1 - 2*u) - 9*u + 7 - 7)*(45 + u - 45) to f*u + d*u**2 + q and give d.
-49
Express 53 + 17*c**2 - 5*c**3 + 8*c**2 - 44 + c**2 as w*c + p*c**2 + j + m*c**3 and give p.
26
Rearrange -1 - 21 - 23 - 72*y**2 + 54 to the form m*y + p + d*y**2 and give d.
-72
Rearrange 3*j - 6*j - 11*j + 116 - j**2 - 5*j - 11*j to x*j**2 + s + r*j and give r.
-30
Express 54*y - 1011*y - 3*y**2 + 478*y in the form c*y + a*y**2 + d and give a.
-3
Rearr
|
{
"pile_set_name": "DM Mathematics"
}
|
(x) = 21*x. Let l(j) be the second derivative of 1/2*j**3 + 0*j**2 - 149*j + 0. Determine m(l(y)).
63*y
Let t(m) = -15*m - 1. Let x(u) = -133*u - 9. Let q(p) = 9*t(p) - x(p). Let l(k) = -113*k**2 - 4*k. Calculate l(q(c)).
-452*c**2 + 8*c
Let d(a) = -92*a. Let v(o) be the third derivative of -o**7/2520 + o**4/8 - 2*o**2 + 15*o. Let p(u) be the second derivative of v(u). What is d(p(b))?
92*b**2
Let g(r) = 1278*r**2. Let c(t) = -23*t**2 - 720*t. Let n(y) = -58*y**2 - 1728*y. Let k(u) = 12*c(u) - 5*n(u). Determine k(g(x)).
22865976*x**4
Let i(y) = -3*y. Suppose 4*d = -743 + 759. Let a(p) = -d*p**2 - 3*p**2 + 858*p - 855*p. What is i(a(n))?
21*n**2 - 9*n
Let x(b) be the third derivative of b**5/60 - 4704*b**2 + 2. Let n(f) = -680*f - 2. Give n(x(t)).
-680*t**2 - 2
Suppose 2*w + 46 = 4*l + 122, 5*l = -4*w + 126. Let z(a) = w*a + 74*a - 41*a. Let b(h) = -2*h**2. Determine z(b(k)).
-134*k**2
Let x(r) = -r**2 + 4*r - 1. Let d(y) = -217*y**2 + 992*y - 248. Let z(m) = -3*d(m) + 744*x(m). Let n(g) = -28*g. Give n(z(u)).
2604*u**2
Suppose -436 = -8*j - 180. Let q(l) = -j*l + 64*l - 191*l. Let i(n) = -n. Give i(q(p)).
159*p
Let o(y) = 150163*y. Let a(d) = -13*d + 18. Calculate a(o(s)).
-1952119*s + 18
Let a(m) = -4*m. Let r(q) = 875906*q. Give r(a(f)).
-3503624*f
Let w(p) = 26*p**2 - 1764*p + 1764*p. Let n(j) = -9*j**2. Let u(y) = 17*n(y) + 6*w(y). Let d(m) = 25*m. Give u(d(b)).
1875*b**2
Let a(z) = -321*z + 52. Let x(s) = 34343*s - 5551. Let n(f) = 427*a(f) + 4*x(f). Let p(m) = -m**2. Determine n(p(w)).
-305*w**2
Let d(l) = -68*l - 4. Let p(x) = 1240 - 7*x - 531 - 709. Calculate d(p(r)).
476*r - 4
Let p(a) = -49*a**2. Let y(l) be the second derivative of 3 - 34*l - 1/2*l**3 + 0*l**2. What is p(y(g))?
-441*g**2
Let t(d) be the second derivative of 23/3*d**3 - 12*d + 0 + 0*d**2. Let b(f) = 92*f. Let x(i) = -4*b(i) + 9*t(i). Let z(v) = v. Give x(z(c)).
46*c
Let j(m) = 7068*m + 190. Let g(a) = 43*a + 1. Let c(d) = -570*g(d) + 3*j(d). Let k(n) = -2*n. What is c(k(p))?
6612*p
Let g(x) = -569*x**2 + x. Let k(z) = 1 + 571*z**2 - 1 - 570*z**2. What is k(g(i))?
323761*i**4 - 1138*i**3 + i**2
Let x(l) = 5*l**2. Let a(j) be the second derivative of -36*j**3 + 3272*j. Calculate x(a(v)).
233280*v**2
Let f(u) = -3*u - 24. Let s be 6/3 + -1 - -1. Let y(c) = 67*c + 60*c - 127*c + s*c**2. Give y(f(l)).
18*l**2 + 288*l + 1152
Let s(r) = -74364755*r**2. Let o(k) = 6*k. Give o(s(f)).
-446188530*f**2
Let x(z) = -3*z**2. Let g(h) = 1914*h**2 - 3344*h. Calculate g(x(t)).
17226*t**4 + 10032*t**2
Suppose -123*v + 125*v = 4. Let l(s) be the first derivative of -12 + 3*s**v - s**2 + 30 - s**2. Let g(b) = -34*b. Calculate g(l(t)).
-68*t
Let l(m) be the second derivative of m**3/6 - 6494*m. Let w(d) = -50*d**2 + 40*d. Determine w(l(i)).
-50*i**2 + 40*i
Let a(b) = -3*b. Let m(y) be the third derivative of y**8/6720 + y**7/280 - y**5/4 - y**4/12 + 86*y**2. Let p(t) be the third derivative of m(t). Give a(p(f)).
-9*f**2 - 54*f
Let j(g) = -379122*g. Let o(t) = t**2. What is o(j(f))?
143733490884*f**2
Let u(v) = 4928*v - 1. Let t(y) = 2*y - 12401. What is t(u(k))?
9856*k - 12403
Let j = 15 + -4. Let m(h) = -3*h**2 + 7*h**2 + 9*h**2 + j*h**2. Let z(a) = 3*a + a + 2*a**2 - 4*a. Give z(m(c)).
1152*c**4
Let r(d) = 78*d - 19. Let x be r(10). Let f(k) = x*k - 1408*k + 718*k. Let q(y) = y. Give f(q(c)).
71*c
Let b(p) = 7*p**2 + 3*p + 1. Let a(k) = -12*k**2 - 18*k - 6. Let f(j) = -a(j) - 6*b(j). Let d(t) = -3*t - 5. What is d(f(y))?
90*y**2 - 5
Let i(a) = -2*a. Let d(j) = -6*j. Suppose -4*n = -38 + 6. Let u(h) = n*i(h) - 3*d(h). Let v(m) = 20 + 25 - 18*m - 45 + 4*m. Calculate v(u(r)).
-28*r
Let b(w) = 28*w**2. Let u(z) = 618738*z. Determine u(b(c)).
17324664*c**2
Let s(u) = u**2. Let p(k) be the first derivative of 0*k + 0*k**2 + 2 + 14/3*k**3. Determine p(s(w)).
14*w**4
Let a(j) = -126*j**2 - 11. Let k(y) = -25*y**2 - 2. Let x(l) = 2*a(l) - 11*k(l). Let t(g) = 7*g**2. Determine x(t(n)).
1127*n**4
Let m(o) = -261*o**2 + 12*o - 6. Let v(j) = -3652*j**2 + 166*j - 83. Let q(x) = -83*m(x) + 6*v(x). Let l(r) = r. What is q(l(z))?
-249*z**2
Let i(c) = -3*c. Let t(b) = -b**2 + 3*b + 14. Let r be t(5). Let o(x) be the third derivative of 0*x + 1/12*x**r - 14*x**2 + 0 + 0*x**3. Calculate i(o(s)).
-6*s
Let o(v) = -22*v + 112. Let m be o(5). Let q(r) = 4*r + 7. Let z(a) = 3*a + 8. Let f(t) = m*q(t) - 3*z(t). Let s(h) = -h**2. Give s(f(l)).
-l**2 - 20*l - 100
Let c(a) = 40*a + 1. Let d(y) be the first derivative of -y**4/6 - 68*y + 103. Let i(q) be the first derivative of d(q). Calculate i(c(z)).
-3200*z**2 - 160*z - 2
Let b(x) = x. Suppose -5*u = -10, -4*u - 12 = -n - 0. Let g = n + -17. Let a(y) = g*y - y + 0*y. Determine a(b(m)).
2*m
Let a(y) = 10*y. Let d(r) = 28*r - 24. Let m(v) = -56*v + 44. Let l(w) = -5*d(w) - 3*m(w). Let s(h) = 2*h - 1. Let x(f) = l(f) - 12*s(f). Give a(x(p)).
40*p
Let d(i) = 2*i**2 + 12*i. Let l(a) be the first derivative of -46 - 2/3*a**3 + 0*a + 0*a**2. What is l(d(t))?
-8*t**4 - 96*t**3 - 288*t**2
Let p(x) = -552*x. Let h(d) = -11*d**2 + 1566*d. What is h(p(n))?
-3351744*n**2 - 864432*n
Let a(p) = -3*p**2. Let s(v) = 929*v - 913*v - 32*v**2 + 67*v**2 - 28*v**2. Calculate s(a(n)).
63*n**4 - 48*n**2
Let w(b) = -b**2 + 9*b - 9. Let f be w(6). Suppose 3 - f = -3*t. Let s(n) = -145 - 7*n**2 + 145 - 3*n**t. Let a(j) = -2*j**2. Calculate s(a(m)).
-40*m**4
Let i(k) = -27*k**2. Let g(p) be the first derivative of p**4/12 - 44*p - 24. Let v(f) be the first derivative of g(f). Calculate i(v(d)).
-27*d**4
Let b(t) = 13*t**2. Suppose -5*y = -3*a - 0*y + 20, -3*a - 3*y - 12 = 0. Suppose 2*k + i = 0, a*i + 14 = 5*k - i. Let q(p) = k*p - 3*p + 2*p. Determine q(b(g)).
13*g**2
Let m(k) = 1 - 1 + k**2. Let o(h) = -6222*h**2 - 5834*h**2 + 12071*h**2. Give m(o(l)).
225*l**4
Let m(w) = -15*w**2 + 54*w. Let r(k) = -k**2 + 4*k. Let i(f) = 2*m(f) - 27*r(f). Let o(u) = 2*u. What is i(o(t))?
-12*t**2
Let v(j) = -104959796*j. Let y(w) = -w**2. Determine y(v(d)).
-11016558776361616*d**2
Let y(i) = 53611*i. Let j(a) = -37*a. Determine y(j(k)).
-1983607*k
Let m(q) = -11454*q**2 + 612. Let u(w) = -10*w**2. Determine m(u(h)).
-1145400*h**4 + 612
Let o(c) = 83*c**2. Let z(x) = x - 14. Let s be z(22). Let d(g) = 13 - s - 5 - 2*g. Calculate o(d(t)).
332*t**2
Let q(z) = 3. Let m(s) = -s + 15. Let v(y) = -2*m(y) + 10*q(y). Let u(x) = -4 + 29*x**2 - 5 + 9. Determine v(u(t)).
58*t**2
Let j(h) = 1020481*h**2 - 2*h. Let n(v) = -v - 14. Calculate n(j(f)).
-1020481*f**2 + 2*f - 14
Let h(o) = -o - 22. Let z(f) = f + 23. Let b(k) = 6*h(k) + 5*z(k). Let m be -8*(287/(-28) + 10). Let q(p) = 2040*p**m - 1020*p**2 - 1019*p**2. Give q(b(a)).
a**2 + 34*a + 289
Let s(k) = -9*k**2 + 25*k. Let l(i) = 2*i - 6. Let v(o) = -6. Let z(m) = l(m) - v(m). Give z(s(a)).
-18*a**2 + 50*a
Let v be (-5 - 61/(-5))/(2/40). Let k(n) = -59*n**2 - 69*n**2 + v*n**2. Let u(p) = -5*p. Determine k(u(i)).
400*i**2
Let s(u) = -34*u. Let d(k) = 25697*k**2. Give d(s(p)).
29705732*p**2
Let v(q) = -42614934*q**2. Let u(f) = 2*f**2. Calculate v(u(d)).
-170459736*d**4
Let r(j) = 4*j**2 + 6*j. Let q(s) = -978*s + 1. What is q(r(l))?
-3912*l**2 - 5868*l + 1
Let u(t) = 4*t**2. Let l(n) = 41*n - 60. Let h(j) = j + 20. Let i(s) = -3*h(s) - l(s). Calculate i(u(x)).
-176*x**2
Let p(q) = q**2 - 2*q + 14. Let k be p(-3). Let o be (-2)/(-4) + 114/12. Let m(w) = -56 + 27 + k - o*w. Let r(u) = 3*u. Calculate r(m(a)).
-30*a
Let q be (-2 + -6)*(-12)/32. Let m(a) = -9*a**2 + 3*a**2 - q*a**2 + 8*a**2. Let i(k) = 9*k. Calculate i(m(o)).
-9*o**2
Let h(s) = 851*s**2 + 1380*s + 138. Let x(d) = -6*d**2 - 10*d - 1. Let p(n) = h(n) + 138*x(n). Let w(k) = 10*k**2. What is p(w(v))?
2300*v**4
Let y(l) = -2*l**2. Let g(d) be the third derivative of 0 + 81*d**2 + 0*d + 41/24*d**4 + 0*d**3. Calculate y(g(o)).
-3362*o**2
Let r(i) = -93*i**2. Let o(x) = -3*x**2 + x - 103. What is o(r(u))?
-25947*u**4 - 93*u**2 - 103
Suppose 4*f = -m + 12, 5*f = -0*m - m + 14. Let d(g) = -m*g + 2*g - g - 3*g. Let s(n) = 5*n**2. Let i(c) = c**2. Let r(q) = -9*i(q) + 2*s(q). Calculate d(r(v)).
-6*v**2
Let i(q) = -2*q - 336. Let b(o) = 6*o + 952. Let g(f) = -6*b(f) - 17*i(f). Let x(j) = -14*j. What is x(g(d))?
28*d
Let u(g) = 895085*g + 47. Let n(h) = -h. What is n(u(f))?
-895085*f - 47
Let n(q) be the second
|
{
"pile_set_name": "DM Mathematics"
}
|
*g, -5*g + 30 = a. Let t = q - a. Solve 0 = c + c - 6, -4*c + 6 = -t*l for l.
2
Suppose -83*h - 3547 = -393. Let b = -6 - -44. Let r = b + h. Solve -2*s - 5*p + 24 = -11, r = 5*s - 4*p - 5 for s.
5
Let d = -12579 - -12584. Solve -4*o - 54 + 19 = 3*l, -5*o - d = -4*l for o.
-5
Let h(u) = -5*u**2 + 44*u - 14. Let d be h(16). Let b = d + 593. Solve 2*m + 10 = -5*g + g, -4*g + 5*m = b for g.
-2
Let h = -17 - -19. Let b(w) = -w**3 - 15*w**2 + 108*w + 1476. Let c be b(-16). Solve -c*o = v + o, 0 = -v + h*o for v.
0
Let i(b) = -b**2 - 15*b + 5618. Let p be i(-82). Solve -o = -4*u - 13, 128*u + 16 = p*u + 4*o for u.
-3
Let m(y) = -y**3 - y**2 - y + 32. Let d be m(0). Let x be (-1 - 8/4) + -26. Let n = d + x. Solve 0 = -3*p, n*t - p = t - 10 for t.
-5
Suppose 0 = -11*r + 177 - 1. Suppose 4*z + 0*z - r = 2*n, 4*n - 33 = -5*z. Solve 5*i = -n*y + 24, 3*i + 2*i - 28 = -4*y for i.
4
Let u be -21*(25/15 + -2) + 2. Solve -u*q - 3*p = -13*q - 31, 2*q + 3*p - 7 = 0 for q.
-4
Suppose -12 = -3*i - 0. Suppose 0 = 4*s - 2*n - 0 - i, -n = 5*s - 12. Suppose -3*y + 2*y + s = 0. Solve y*g = -5*c + c - 2, -3*c + g = -11 for c.
2
Let s(l) = l + 3 - 7 + 6*l + 23*l**3 + 2 - 3*l. Let b be s(1). Solve -2*k + 8 = 3*r + b, k = -3*r - 13 for r.
-3
Suppose -4*p + 7 = -c, 28*p = 30*p + 2*c - 26. Solve a = 9*t - p*t + 15, 3*t + 2*a + 9 = 0 for t.
-3
Let k(l) = 123*l + 3089. Let z be k(-25). Solve 10 = -4*q - 4*m - 18, 3*q - 4*m = z for q.
-2
Suppose 0 = 37*g + 75 - 371. Solve 0 = -4*m - 2*w - 10, 2*w + 2 + g = 3*m for m.
0
Let t(i) = -i**2 + 97. Let p be t(0). Let z = 1451 - 1350. Let u = z - p. Solve -4*d - 6 = -2*m, 0 = m + 3 - u for d.
-1
Suppose -4*u - 2*u = -18. Let x(s) = 20 + 13 + u*s - 2*s**2 + 18*s**3 - 35. Let l be x(1). Solve c - 3*c = n + 13, 0 = -5*n + 2*c - l for n.
-5
Let y be ((6 + -30)/3)/(4/(-66)). Let j = -130 + y. Suppose -5*o + 1 = v, -5*v + 0 = -5. Solve 0 = b - 5*a + 3 + j, -5*b + 3*a + 19 = o for b.
5
Let m(s) = -14*s - 990. Let y be m(-71). Solve r + 17 = 2*g, -3*g - 14 + 12 = y*r for g.
6
Suppose 186*i = 180*i + 30. Let x = 93 + -93. Solve -5 = -i*b + 2*f + 16, -2*b + 2*f + 6 = x for b.
5
Suppose 485*r - 477*r - 16 = 0. Solve 3*y - 10 = -r*b, 0*b = 4*y + 5*b - 11 for y.
4
Let t be 4/10 + (-216)/(-10). Let w be (4/6)/(t/957). Suppose 5*m - w = 111. Solve -p + 2*p = -5*h - 24, 5*h + 2*p + m = 0 for h.
-4
Let p(j) = 6*j**2 + 29*j + 24. Let n be p(-4). Solve -w - n*d = 17, 4*w - 67 = 7*d - 20 for w.
3
Let n(m) = m**2 - 2*m + 1. Let x be n(3). Let k = 88 - 183. Let i = 98 + k. Solve 0 = -i*d + 2*a + 5, 3*d = x*d - a for d.
5
Let f(q) be the first derivative of 9*q**2/2 + 228*q + 24. Let w be f(-25). Let k = -17 - -35. Solve -3*l - 7 = 2*s, -w*l - 2*s = -5*s - k for l.
1
Suppose -40*x - 90 = -46*x. Let p(d) = d**3 - 16*d**2 + 11*d + 74. Let g be p(x). Solve -4*b - 8 = 4*k, -g = 2*k + 2*b + 2*b for k.
3
Let z = 79 - 76. Suppose 3*a - 12 = z*r, 2*a + 3*r = a. Solve 8*l - 3*l + 4*b = -17, 0 = -l - 4*b + a for l.
-5
Let q = 3113 - 3111. Solve 3*a + 3*r = -24, -2*r - q = 6 for a.
-4
Suppose -147*q + 292 = -7 - 583. Let n(m) = m**3 - 8*m**2 + 9*m - 3. Let d be n(7). Let s = -8 + d. Solve -h + x = 0, -4*h + s*x - 5 = -q for h.
1
Let v = -987 - -1005. Let k(h) = -h**3 + 17*h**2 + 17*h + 22. Let o be k(v). Suppose -3*f - 3 = -12. Solve 0 = 5*t - 0*t + f*c - 32, -3*t - o*c = -28 for t.
4
Let n be (-91)/7 - (-28 - -15). Solve n = 5*p + 25, 9*u - p = 4*u - 5 for u.
-2
Let a = -7706 + 7717. Solve 3*l - 15 = -2*r, -l + 5 = -6*r + a*r for r.
0
Suppose -2*o = -2*v - 7*o - 25, 5*o + 15 = -4*v. Solve 2*s - 7*s + 30 = -v*g, -15 = -5*s for g.
-3
Suppose -71*n - 8 = -73*n. Suppose n*f + 7*w = 3*w + 32, -9 = -3*w. Solve -5*s = -4*i - 1, -5*i + 0*s = -f*s + 5 for i.
-4
Let f be (3/2 - 2)*0. Let d be (-3)/(-1 + f/7). Solve d*n + 3*v = 2*v - 1, v = 3*n + 11 for n.
-2
Let b(s) = 3*s + 10. Let n be b(-4). Let p be (-1 - n)/(3/135). Let i be p/5 + (-3 - 1). Solve -2*c - 3*y = 2*y - 27, i*c - 25 = -4*y for c.
1
Let f(w) be the second derivative of -w**4/6 + 25*w**3/6 + 23*w**2/2 - 22*w. Let d be f(13). Solve -2*c = -t - 2, -3*t - d = 2*c - t for c.
-1
Let o(l) = l**3 - l**2 + 2. Let t be o(3). Suppose 4*b + 4*d = t, 12 = -14*d + 11*d. Solve 3*s + b = 2*s + a, -5*s - 5 = 3*a for s.
-4
Let h(c) = 1434 - 1434 + 4*c. Let p be h(-2). Let m be (((-4)/8)/(-1))/(-1)*p. Solve 2*t + 2*y = -0 + m, 4*t = 5*y + 17 for t.
3
Let y(i) = 2*i**3 - 7*i**2 - 17*i + 12. Let j be 324/60 - (-4)/(-10). Let k be y(j). Solve m + 5*f = 2*f - k, 8 = -4*m - 5*f for m.
-2
Suppose -28 + 52 = 4*c. Let n be 6 - (c - (-1 - -4)). Solve -3*i = -4*q - 1, -3*q = n*i - q + 5 for i.
-1
Let c = -16666 + 16666. Solve c = 2*d + 3*b - 2 - 1, 5*d + 4 = 4*b for d.
0
Let m be -5 + 0 - (-23 + 10 - -5). Solve g - 14 = -m*d, -22 = 2*g - 9*d + 5*d for g.
-1
Suppose 0 = n + 5*c - 115, 0 = -10*n + 14*n + c - 422. Suppose 7*s + o - 70 = 4*s, -4*s = -o - n. Solve -3*y - 4*i = s - 5, 10 = -5*y - 2*i for y.
0
Suppose 3*u + 2 + 16 = -3*i, -5*u - i - 14 = 0. Let b be -4*5*u/20. Solve -6*s - 26 = -4*r - 8*s, b*s - 21 = -3*r for r.
5
Suppose 0 = 4*m + i + 1283, -5*m - i = 1684 - 80. Let q = -311 - m. Solve -4*g - 2*l - q = 0, 5*g = 2*g + l + 5 for g.
0
Let p(x) = x**3 + 9*x**2 + 19*x + 10. Let s be p(-6). Let q(v) = v**2 + 6*v - 12. Let k be q(-8). Solve -3*w + 2*j = 6*j - 1, -20 = -s*w + k*j for w.
3
Suppose -21*x - 38 = -23*x + 2*b, 54 = 3*x - 2*b. Suppose -x*a = -5*a - 55. Solve 0 = 4*h - a*f - 12, -2*f = f + 12 for h.
-2
Let n(o) = -o**2 - 30*o - 121. Let w be n(-29). Let x = w - -97. Solve 0*k = -2*m + 3*k - 21, x*k - 37 = 4*m for m.
-3
Suppose 5*i + 85*i - 2*i - 1584 = 0. Solve -3*v - i = -3*c, -2*v = -5*c + 209 - 188 for v.
-3
Let v be (-12)/2*12/72*-3. Solve -2*h - 13 = -v*r, -4*h + 25 = 5*r - 9*h for r.
3
Let a = -40993 - -40995. Solve c - 5*d - 19 + 34 = 0, -3*c = -a*d + 19 for c.
-5
Let b be 1 - ((-9)/2)/9*2. Suppose 0 = -b*w - 10 + 18. Solve -r = -5*s + 12, -3*s - w = -8*s - 3*r for s.
2
Suppose 39*y = 86*y - 44*y. Solve -r + 12 = 4*k, y = k + 36*r - 40*r - 3 for k.
3
Let l be (-1 - 133)/(2/(-8)). Let z = l - 532. Solve 0 = 5*a + 2*w + w - 17, 3*w = z*a - 19 for a.
4
Let q = 1593 - 1596. Let z(r) be the first derivative of -r**2 - 4*r - 1. Let a be z(q). Solve -5*i = 10, a*k + i = -3*k + 3 for k.
1
Suppose 2*s + 2 = i - 3, -5*s - 2*i = -10. Let w(h) = -6 - 2 + 1 + s - 5*h. Let k be w(-3). Solve 0 = 6*y - 2*y - 2*u + 8, 2*y - 3*u = -k for y.
-1
Let n(f) = 2*f - 10. Let c = -19 - -26. Let t be n(c). Suppose -5*m + t*b + 32 = 0, -3*m = b + 5 - 31. Solve g = -2*k - m, 0*k + 14 = -3*g - k for g.
-4
Let z(x) = x**2 + 6*x + 2. Let o be z(-6). Let c(f) = -67*f + 10799. Let u be c(161). Solve 4*d = u, -2*d - 10 = -o*y - 4*d for y.
2
Suppose -4*g = 3*u - 21, -35 = -5*u - 137*g + 132*g. Solve 2*m - 2*y = u*m + 9, 5*y + 5 = 5*m for m.
-1
Let m(a) = -a**3 - 7*a**2 - 6*a. Let h be m(-9). Suppose -7*j = -13*j + h. Let u = j - 21. Solve -3*c = -5*g, -3*c - u = -0*c for g.
-3
Suppose w = 2*l + 19, 0*w + 95 = 5*w + 2*l. Let j(n) = -3*n**2 + 10*n + 10. Let b be j(4). Solve g - 2*p = 4*g - w, 2*p - 14 = -b*g for g.
5
Let a(t) = t**3 + 37*t**2 + 31*t - 177. Suppose m - 2*g = -16 - 26, -177 = 5*m + g. Let i be a(m). Solve -5 = -i*z - 2*y + 2, z = -y + 3 for z.
1
Let f be (508/(-12) - (-1)/3)*27/(-54). Solve -3 + 2 = 3*r - v, -f = -2*r + 5*v for r.
-2
Suppose 21*y - y = 5320. Let s = 268 - y. Solve -t + 0*m - 5 = -s*m, -m = 4*t + 2 for t.
-1
Let m be (6/5 - 9/(14 - -31))*1. Solve o - 2*h = 2, 0 = 2*h + 3 - m for o.
0
Let z(y) = -119*y + 1314. Let d be z(11). Solve 0 = d*j + 4*x - 9, -10*x + 12*x = 2*j for j.
1
Let p be (0 + -1)*139*(3 + -4). Let v = -134 + p. Suppose 3*i + z - 2 = 0, -10 = -4*i + 3*i + 2*z. Solve -2*x + 12 = 4*u + i, 4*u - v*x = 3 for u.
2
Suppose -9*i + 924 = -21*i. Let c = i + 77. Solve -2*m = -m - 3*l + 18, c = 3*m - 4*l + 29 for m.
-3
Suppose -4*l - 83 = 3*x + 962, 4*l = -x - 351. Let h = x - -350. Solve k + 3*a + 4 = 0, -h*k + 4*a = 2*k + 20 for k.
-4
Let t(c) = c**2 + 3*c - 16. Let d be t(-6). Let l be 0 + d - 12*15/(-10). Solve -7*y = -5*y + 4*f - l, -y + f = 5 for y.
0
Suppose 2*g = -3*b - 21 - 8, 4*b + g = -37. Let r(i) = i + 12. Let z be r(b). Solve n + 2 = -p, -p - 5*n = -z*p - 11 for p.
-3
Let p be (-2 - -3 - 44)/((-22)/(-66))
|
{
"pile_set_name": "DM Mathematics"
}
|
0*q. Solve q*w + 3 = -2*w - m, 2*w + 6 = -4*m for w.
-1
Let x = 17 - 10. Let z(q) = q**3 + 5*q**2 + 6*q + 5. Let s be z(-4). Let i be 0 - s/((-9)/(-6)). Solve 5*y = 2*j - x, -y + i*j + 11 = -2*y for y.
-3
Let t = -112 - -133. Suppose -o = -3*o + 6. Solve t = 3*g - o*n, -2*g - 4 = 3*n + n for g.
4
Let q be (-8)/12*(1 + -7). Suppose 0 = -5*v + q*v. Solve 5*a - w - 4*w + 15 = v, 5*a + w = -15 for a.
-3
Let g be (-3 - -3) + 2 + 0. Suppose 3*m + x = -2, 5*x + 10 = -g*m + 4*m. Solve 5*r + v = m, -v + 2*v = 4*r - 9 for r.
1
Suppose 0 = -4*s - 5*l + 3*l - 6, 4*l = s - 12. Let x be 2 + s + (2 - 1). Solve -5*u + x*r - 18 = -2*u, -5*r = -2*u - 21 for u.
-3
Let t be 7*((-36)/14 + 3). Solve -r = 4*z + 20, -t*r - 3*z - 15 = -0*z for r.
0
Suppose 5*t - 16 = t. Suppose t*u + 4 = 3*u. Let k(m) = -2*m - 4. Let i be k(u). Solve s - b - 7 = 0, -i*s + b + 24 = 8 for s.
3
Let q(v) = -2*v - 3. Let p = -15 - -6. Let o be (-1 - -4)/(p/12). Let g be q(o). Solve w = -5, -g*w - 18 = 4*h + 15 for h.
-2
Suppose 0 = 3*z - 0*v + 4*v, 0 = -z - 2*v - 2. Suppose 12 = -0*f + 4*f. Suppose 0*h + h - f = 0. Solve z*k - 3*m - 2*m - 5 = 0, -h*k + 4*m = -4 for k.
0
Let q(s) = -s**3 - 6*s**2 + 6*s - 5. Let r be q(-7). Let p = r + -2. Solve p = n + l - 0 - 1, -2*l = n for n.
2
Suppose -21 = -6*p - 9. Solve p*w = -3*i - 15, -3*i - 3*w + 0*w - 15 = 0 for i.
-5
Suppose 0 = 5*y - y + 4*a - 48, 4*a + 12 = y. Let s = 12 - y. Solve s*z = 3*f - 5*z, -3*f + 4*z - 3 = 0 for f.
-5
Suppose -n - 4*n + 10 = 0. Suppose n*y - 4*y = -6. Solve -o + 1 + y = -3*m, 2*o = 5*m + 8 for m.
0
Suppose 3 = -4*m + 3*z, -2*m + z + 26 = 5*z. Suppose 0*y = 5*y - m*f - 17, 1 = f. Solve 2*n - 5*r = 8, y*r + 10 = 2*n - 4*n for n.
-1
Let k(l) = l - 2 - 2*l**2 - l**3 + 6 - 5. Let m be k(-3). Solve 5*s - 3*w + w - 21 = 0, 3*s - 5*w - m = 0 for s.
5
Let y = 17 - 11. Let z(b) = -6*b + 15*b - 6 + 0 - 6*b**2 + 5*b**2. Let m be z(y). Solve -3*v = -0*f - 5*f - 18, -4*f - m = 0 for v.
1
Let p(r) = 2*r**3 - r**2 + 1. Let s be p(1). Suppose -4*a + s*a = -2. Solve -g = -3, -2*h - g - 6 = a for h.
-5
Let c(i) = -i + 10. Let o(u) = -3*u + 1. Let j be o(-2). Let p be c(j). Suppose 4*z - 6 = -2. Solve 5 = -4*x + z, -q = -p*x for q.
-3
Suppose -3*g = k - 20, 2*k + 10 = -k + 5*g. Let m be (-8)/(-14)*7/2. Suppose m*q - 28 = -2*b - 0*q, -40 = -3*b - 5*q. Solve -x = 5*a - b, x - 2 - k = -a for x.
5
Let k(v) = -v**2 - 4*v + 3. Let m be k(-3). Let a(n) = -5*n - 69. Let l be a(-15). Solve -l*d + d - 24 = p, -2*d = 4*p + m for p.
1
Let k be ((-52)/(-20) + (-6)/10)/1. Solve 0 = k*c + j + 3*j + 4, j + 1 = -2*c for c.
0
Suppose -2*p + 0*p = 0. Suppose n - 1 - 1 = 0. Solve n*h = s + 2*s, p = 2*s + h - 7 for s.
2
Suppose -4 = -4*d - 12. Let g = 32 + d. Suppose 5*o - g = -5. Solve o*p = 5*q + 10, -4*p + 4*q + 7 = -p for p.
1
Suppose -3*q + t + 2 = -9, 0 = -3*q - 4*t + 16. Solve 2*a + 28 = 3*i + i, -q*i + 24 = -a for i.
5
Let h = -261 - -264. Let r(t) = t**2 - t - 4. Let u be r(4). Let q(m) = -m**3 + 5*m**2 + 3*m - 3. Let f be q(5). Solve -2*j - z + f = -2*z, h*j - u = -z for j.
4
Let a = -4 - -6. Solve -4*b + a*q + 10 = -8, 0 = 5*b + 2*q for b.
2
Suppose -4*f - 4 + 16 = 0. Let u be -1 + 1 + (10 - 2). Let t(h) = -h**2 + 5*h - 3. Let n be t(3). Solve -24 = 3*q + f*p, -5*q + 0 = -n*p + u for q.
-4
Let f(t) = 3*t**2 + 10*t + 8*t**2 - t**3 + 8*t**3 - 6*t**3. Let o be f(-10). Suppose o = -3*x + 7 + 2. Solve -5*h = a - 25, -x*h = 3*a - a - 15 for a.
0
Suppose -7 = 3*u + 4*b, 3*b - 13 = -3*u + 4*b. Solve -u*q - v = -3*v - 9, -q + 2*v + 3 = 0 for q.
3
Let m be 2*-3*(-2)/3. Let i = -4 + m. Suppose i = 2*k - j - 13, -4*j - 2 = 3*k + 6. Solve z = -z - k*n + 18, -3*n = -2*z - 10 for z.
1
Suppose -3*f + 32 = -i - 163, -2*i - 130 = -2*f. Let s = -40 + f. Solve -5*p = -4*u + 20, -u + s = 4*u for p.
0
Suppose 5*y = 2 + 33. Solve -y = 2*o - h, -h + 5 = 2 for o.
-2
Suppose 2*b = 3*i - 56, -2*b + 5*b = -4*i + 52. Solve -4*r - i = -3*d, -r - 4*d = -0*r + 4 for r.
-4
Let k be (-8)/(-28) - (-26)/7. Suppose 4*p + 21 = 5*w, 3*p - 4 = -k*w + 19. Solve -j = -3*i + p - 10, 0 = j - 3 for i.
-2
Let o = -16 - -20. Solve 0 = -3*k - o*u + 4, 2*k + 2*u - 28 = 7*k for k.
-4
Suppose -3 = -5*p + 4*o + 15, 4*o = -4*p. Solve 4*v + 10 = r, 0*v + 2*v = -r - p for v.
-2
Let t be 2 - ((-1)/(-1) - 4). Suppose 3*b - 10 = b + 5*z, z = -t*b + 25. Solve 7 = -2*w + 3*l, -b*w + 2*l = -w - 6 for w.
4
Let i = -3 - -7. Let y(t) = -2*t - 1. Let w be y(i). Let u be 1*2 + (1 - w). Solve 0 = 3*b - b - 4*f + u, 2*f = -3*b - 10 for b.
-4
Let p = 10 - 5. Let u = p + -2. Let m(a) = a + 6. Let b be m(-6). Solve -u*q - 6 = -b*x + 3*x, -2*x - 4 = -3*q for x.
-2
Let u be (-1)/(1 - 1 - 1). Let o be 2 - ((-1 - u) + 4). Suppose -4*r + 2*r + 40 = 0. Solve o = 5*f - 3*n - 9 - 6, 0 = -2*f + 4*n + r for f.
0
Let s = 76 + -72. Solve -2*w + 0 = -3*r - 11, s*r + 2*w + 10 = 0 for r.
-3
Suppose 1 = 4*p - 7. Let d be (-4)/(-1) + -1*p. Let y be (-1)/(-2)*(3 + 3). Solve u - y*l = 0, 4*u + d*l + l + 15 = 0 for u.
-3
Suppose -3*o = 3*l - 0 - 45, 3*l + 2*o = 44. Suppose -l = -4*f + 2. Suppose 0 = -f*n + 4*s + 36, 3*n + 4*s = -2 - 6. Solve 3*x = n*k - 2, -k - x = 3 - 0 for k.
-1
Let z = 5 - 3. Suppose 5*u - 23 = 7. Solve -5*n + 5*f = 40, -z*n + 4*f - 28 + u = 0 for n.
-5
Let g(n) = 2*n**3 - 13*n**2 + 7*n - 3. Let d be g(6). Suppose -b = y - 4, -6 = -2*b - 2. Solve y*x = -5*p + d + 26, 3*p - x = 13 for p.
5
Suppose 6*h = h - 15. Let k = h - -7. Solve 0 = k*b - 6 - 10, 0 = 5*u + 5*b + 5 for u.
-5
Suppose -1 = 4*d - 9. Suppose 5*v = -2*u + 30, -2*v - 9 = -d*u - 35. Let q = -2 + 7. Solve q*f + 37 = -4*r, -5*f + 4*r - v = -f for f.
-5
Suppose 0 = -2*a + 5*n + 70, n + 4*n + 205 = 5*a. Solve 5*o + 5*f = -a, -4*o - 2*f - 28 = -0*f for o.
-5
Let f(s) = -s**3 - 8*s**2 - 8*s - 5. Let z be f(-7). Solve 3*k = -3*o - 24, 0 = -z*k - 6 - 4 for o.
-3
Let i = -12 - -16. Suppose 0 = 4*t + i*d - d - 10, 4*t = 3*d + 22. Solve 2*s + 31 = -t*w + 5*s, -s + 13 = -2*w for w.
-4
Suppose 0 = 16*v - 13*v - 15. Solve -v*g + 2*p - 9 = 0, 2*p - 5 = -0*g + g for g.
-1
Let t(q) = -2*q - 2. Let b be t(-2). Suppose -5*a + 22 = -z, -4*a = 3*z - z + b. Let f = -3 - z. Solve f*n + 2*y = -18, 0 = -4*n - y + 6 - 19 for n.
-2
Let s(w) = w**2 - 7*w + 2. Let f be s(7). Suppose f*u = 3*u + 2*p + 3, -4*u + 2*p = 2. Let g be (-4 - u)/((-3)/2). Solve h + 4 = a, 3*a + g*a = -5*h - 10 for h.
-3
Suppose w = n - 19, n - 65 = -2*n + 5*w. Suppose 2*s + s - n = 0. Let u = 6 - 1. Solve -m + 10*o - s*o = 14, -u = 4*m - 3*o for m.
1
Suppose 5*p + 0 + 15 = 0. Let b = 7 - 10. Let s = b - p. Solve s = v - n + 9 - 4, 4*n = 16 for v.
-1
Suppose 23 = 5*f + 4*i - 8*i, -2*f + 14 = -4*i. Solve 13 = -5*o - 0*o + f*w, -2 = 2*o + 2*w for o.
-2
Let o = 21 - 21. Solve -2*m + 4 = o, -3*r - 1 = -2*m + 12 for r.
-3
Let h = -14 + 16. Solve 3*v - h = -3*s + 4, 0 = 5*v for s.
2
Let i = -3 - -6. Suppose 7*s - 3*s = -4*m, -20 = -i*s + m. Solve -4*t = -t - b + 5, -2*t - s*b = 9 for t.
-2
Let v = 3 - -10. Let g = v - -12. Suppose 3*x + 2*x = g. Solve x*s = 2*h + 22, -3*s + 19 = -2*h + 5 for h.
-1
Suppose -60 = -2*r - 2*r. Let u = r - 12. Solve -2*o - u*o - 15 = 4*l, 2*l - 15 = 5*o for o.
-3
Let k be 2 - 0/2 - -2. Suppose 2*b = 7*u - 2*u - 6, k*b + 2 = 5*u. Let w be 3/((-2)/(-4) - -1). Solve 7*l - b*h + 1 = w*l, 4*l - h - 1 = 0 for l.
1
Let o = -131 - -156. Solve 0 = 5*p - 2*z + 15 + 15, 5*z - o = 0 for p.
-4
Let k = 9 + -5. Suppose -42 + 6 = -2*y. Let f be y/1*(-2)/(-4). Solve -s = k*o - 17, -3*s + 6 = -f for o.
3
Suppose c - b + 2 = 4*b, 2*c - b = 5. Suppose -14 = -2*f + p, -3*f + 3*p = 2*f - 37. Solve 2 = 3*k - 4*k - q, c*q = f*k + 34 for k.
-5
Suppose -j = -1 + 4. Let n = 2 - j. Solve 0 = 3*w - n*h - 17, 3*h = 5*w - 3 - 4 for w.
-1
Let n = 1 + -1. Suppose n = -t - 2*t - 15, 0 = 3*j - 3*t - 30. Suppose 42 + 13 = j*r. Solve -3*d + 2 = -5*q, -4*d = -2*q - 1 - r for d.
4
Let y be 0/((-5)/(15/6)) - -2. Solve 2*x + y*p + 12 = 0, 4*x = -2*p - 2 - 16 for x.
-3
Let n = 427 - 423. Suppose -2*w + 35 = 5*x, 2*w + 2*x = 19 + 1. Solve r = n*r - 3*f + 9, -w*r - 3*f = 31 for r.
-5
Let k = -12 - -14. Solve 0*n = -n - k, -5*m = 3*n - 14 for m.
4
Suppose o - 20 = -3*o, n + 5*o - 54 = 0. Suppose -n = 5*l - 134. Solve 4*a + 17 = -0*a + r, -5*a - l = -r for a.
-4
Let q = 10 - 8. Let d = 2 - q. Solve d = -5*i - 2*w + 25, w + w =
|
{
"pile_set_name": "DM Mathematics"
}
|
q + 4 for q.
-1
Solve -4*p + 4*d - 8 = 0, 4*p + 106*d + 8 = 105*d for p.
-2
Solve 3*h + 13 = -f + 9, 5*f = -2*h - 46 for f.
-10
Solve 5*d + 20 = d, 3*b - 10 = 5*d for b.
-5
Solve -5*m + 3 + 19 = l, 4*m + 3*l - 22 = 0 for m.
4
Solve 2*s = 4*g + 16, 2*g + 17 - 1 = -3*s for s.
-2
Solve -2*f - 8*z = -7*z + 13, 11 = -f - 2*z for f.
-5
Solve 4*i + 3*h = 8 - 27, 5*i - 10 = 3*h for i.
-1
Solve -6*q + 4*q + 20 = 3*f, -5*f - 3*q + 32 = 0 for f.
4
Solve 0 = -k + 4, -8*p - 5*k = -10*p - 12 for p.
4
Solve s + 5*p - 10 = 0, -5*s - 638*p + 20 = -643*p for s.
5
Solve 6*r + 4*d = 4*r - 18, 0 = 2*d + 8 for r.
-1
Solve 2*k - 17*s - 2 = -15*s, k = 3*s - 3 for k.
3
Solve -28 = -3*c - 4*p, -2 + 10 = 4*c - 2*p for c.
4
Solve -14 = -n + 3*n - 4*s, 0 = 5*n - 3*s for n.
3
Solve 34*u - 4 = 32*u, 5*u = f + 12 for f.
-2
Solve 5*m + 5*q - 20 = 0, -2*q = -2*m + q - 17 for m.
-1
Solve -3*d = 4*t - 4, -3*d = -0*d - 2*t + 2 for d.
0
Solve -4*x - 10 = -2*q, -5 = 3*q + 2*q - 4*x for q.
-5
Solve y + 5*z + 1 = 4, 0 = y - 3*z + 5 for y.
-2
Solve 24*q + 3*r = 26*q - 3, 5*r = 5 for q.
3
Solve -4*j = o - 9, j = -4*j - o + 11 for j.
2
Solve -2 = -k, 0 = 5*p - 7*p + 3*k - 16 for p.
-5
Solve 2*b + 5*w = -11, 32 - 47 = 5*w for b.
2
Solve -25 = -5*s, 0 = 3*c + 5*s - 6 - 19 for c.
0
Solve 16 = 2*s - 2*k, 21*s - 18*s + 4*k = -4 for s.
4
Solve 5*r = -5, 0 = 15*f - 12*f - 4*r - 16 for f.
4
Solve -t + 17 = -4*h, 0*t - t = 4*h + 23 for h.
-5
Solve -3*f + 3 = -5*z, -4*f - 5*z + 174 - 205 = 0 for f.
-4
Solve 0 = -3*q - o + 10, -5*o + 6*o + 18 = 4*q for q.
4
Solve -4*w = -5*g + 14, 0*w - w - 3 = -g for g.
2
Solve 0 = -3*h - 2*u + 2, 2*h - u = 3*h - 2 for h.
-2
Solve 0 = 5*a + 3*t - 2, -t - 4 = 3*a - 6 for a.
1
Solve -75*x - t = -80*x - 21, -5*t + 5 = -5*x for x.
-5
Solve -v = l, 4*l + 5*v = 3*l + 12 for l.
-3
Solve 0 = -2*n - 39*t + 34*t - 13, -6*t = 6 for n.
-4
Solve -2*g = -2*o - 3*o, 14 = -2*g - 2*o for g.
-5
Solve 6 = 2*j + 3*n - 12, 2*j + 4*n = 22 for j.
3
Solve -2*h - 2*w = 4, -3*w = h + 3 - 1 for h.
-2
Solve 2*i + 11 = -3*c + 15, 10 = 5*c for i.
-1
Solve 0 = -2*t + 4*i + 12, -i = -10*t + 14*t + 3 for t.
0
Solve 15 + 11 = -3*n + 5*m, -4*n = -5*m + 28 for n.
-2
Solve 2*n + 7 = 3*o, -35 = 3*n - 38 for o.
3
Solve -c + n - 7 = 0, 0 = 7*c - 3*c + 5*n + 19 for c.
-6
Solve 5*t + m - 14 = 0, -20*t - 4*m + 10 = -23*t for t.
2
Solve 4*k + 3 = 3*q + k, -3*k = 4*q + 31 for q.
-4
Solve 3*d - 8*d - o + 10 = 0, 0 = -2*d + 5*o + 4 for d.
2
Solve 2*j - 5 = -a, 6*j - 2*j + a = 11 for j.
3
Solve -b - 2*b = -o + 17, -31 = -3*o + 5*b for o.
2
Solve 5*j = 3*n + 16, 0 = j - n - 45 + 41 for j.
2
Solve 2*h = r - 3*h + 20, r + 3*h = 20 for r.
5
Solve -4*p - 18 = 2*q - 40, 0 = -5*q + 5 for p.
5
Solve -16*w + 2*a = -12*w + 6, 5*w - 5*a = -10 for w.
-1
Solve -5*n + 19 = 2*s, -n - 2*s = 3*s - 13 for n.
3
Solve -3*y - 4*g = -9 + 25, -5*y - 12 = 3*g for y.
0
Solve 6 + 4 = k + 3*s, 8*s - 20 = 4*k for k.
1
Solve p - x - 4*x = -15, -7*p - 4*x = 27 for p.
-5
Solve -w = -5*a + 24, -5*w + 5*a = -0*a + 20 for w.
1
Solve 0 = 3*z - 8 - 4, 5*o = -5*z + 45 for o.
5
Solve 16 = 3*y - c - 0, -5*c = y for y.
5
Solve -2*t = -2*s - 4, t + 17 = -6*s + 5 for s.
-2
Solve -34 = -3*u - 5*a, -2*u - 4*a + 16 = -2*a for u.
3
Solve 3*j = 4*p - 0*j, 4*p - j = 0 for p.
0
Solve -f = -0*f, -3 = -d + f for d.
3
Solve t - 2 = 3*n - 6*n, 0 = 2*n - 4*t - 20 for n.
2
Solve -5*o + i = -31 + 15, 3*o - 2*i = 4 for o.
4
Solve -5*f - 1 - 4 = t, 9 = t - 2*f for t.
5
Solve -152*h + 156*h - 4 = 0, 5*q + 17 = 2*h for q.
-3
Solve h = -3*h - 3*f - 3, -27 = 5*h - 4*f for h.
-3
Solve n + 7 = 5*m, 7 = -m + 2*n + n for m.
2
Solve -3*c = 3*q + 3, -29*q - 19 = -5*c - 28*q for c.
3
Solve 2*f + 3*x = 6*x + 6, -15 = -5*f + 2*x for f.
3
Solve -4*p + 44 = -5*s, 2*s + 22 = 5*p - 16 for s.
-4
Solve 2*o + o - 4 = 4*x, 0 = 2*o + 8 for x.
-4
Solve -12*p - 4*x = -7*p - 45, 5*p - x - 20 = 0 for p.
5
Solve 14 = -5*c + 3*t, 212*c - 4*t + 13 = 211*c for c.
-1
Solve d = 2*d - 4*t - 9, 2*t - 3 = 3*d for d.
-3
Solve -14*j = 3*w - 12*j + 5, -4*j = -8 for w.
-3
Solve 3*h = -f + 4, -h + 0*h - 4 = 3*f for h.
2
Solve 2*c + 3*x = 1 - 6, -5*x + 5 = 0 for c.
-4
Solve -5*i + x - 11 = -0*x, 5*i = -3*x - 27 for i.
-3
Solve -5*d + 24 = 4*b, -2*b - 3*b + 21 = 4*d for d.
4
Solve 5*q - 4*q - 4*n - 10 = 0, -4*q - 3*n = 17 for q.
-2
Solve -4*j - h = -6*h + 29, -2*h + 8 = 2*j for j.
-1
Solve 5*g - 4*t - 2 = -4, t = 4*g + 6 for g.
-2
Solve -5 = 5*m, -2*f + 0 = -2*m + 2 for f.
-2
Solve -4*l - x - 13 = 2*x, 0 = 6*l - 5*x + 29 for l.
-4
Solve -z - 2*t = -6 - 2, -t = -z + 2 for z.
4
Solve 2*h - 7 = 3*n, 26*h + 5*n = 22*h - 41 for h.
-4
Solve -3*f = 2*q + 5*f - 48, -2*f = 5*q - 30 for q.
4
Solve -4*j = -v - 10 + 29, 5*v - 31 = 4*j for j.
-4
Solve 4*d + 2*a + 0*a = -10, -3*d - 3*a = 15 for d.
0
Solve -17*n + 12 = -14*n, 0 = 3*f - 3*n + 18 for f.
-2
Solve -87*p + 25 = 4*g - 82*p, -g + 4*p - 20 = 0 for g.
0
Solve 5*i + 27 = 2*h, -5*h - 4*i + 21 = -i for h.
6
Solve 0 = -4*s - 2*v + 20, 2*s + 5*v - 12 = 3*v for s.
4
Solve 3*a + 5*u = 18 + 14, -16 = -4*u for a.
4
Solve 4*k = -6*n + 54, -4*k + 7*n = 3*n + 36 for k.
0
Solve 6*c - 3*c - 5*n + 16 = 0, -4*c - 3*n = -27 for c.
3
Solve 4*q + 17 = -3*w, 0 = 5*q - 10*q - 4*w - 22 for q.
-2
Solve 8 = -5*i + 4*g, 2*i + 4*g = 1 - 21 for i.
-4
Solve 6 = -q - d, q + 2*d + 2*d + 18 = 0 for q.
-2
Solve 2*w - 4*f = 2, 0*w - 5*f = 4*w + 22 for w.
-3
Solve 19 = -4*p + 3*s, 4*p + 2*s + 1 = -13 for p.
-4
Solve 0 = -s - 2*h + 4, 5*s + 2 = -2*h - 2 for s.
-2
Solve 3*j = 5*r - 6 - 9, 2*j - 3*r = -10 for j.
-5
Solve -2*y + 8 = -z, -12*z + 7*z - 4*y = 12 for z.
-4
Solve 2*v - 7*v = 2*l - 12, 5*l + 4 = -4*v for l.
-4
Solve -3*r = -2*f + 16, -3*r - f - 5 = 5 for r.
-4
Solve 2*p - 7 = 5*f, 0 = -f - 3*p - 12 - 3 for f.
-3
Solve 3*k + 0*k = n - 6, -4*k - 19 = -5*n for n.
3
Solve -2*q + 21 = y + 20, 0 = 4*y - 4*q - 28 for y.
5
Solve -2*p - 5*g = 3, -4*p = -5*g + 24 - 3 for p.
-4
Solve 0 = 3*v + 5*u - 12, -10*u = -11*u for v.
4
Solve -5*t - 2*l = -15, t - 2*t + 3 = -5*l for t.
3
Solve -4*r - 19 = -4*s - 31, -s + 2 = 0 for r.
5
Solve -4*h + 4 = 0, 4*h - 4 = 2*x + 10 for x.
-5
Solve -5*d - 14*y + 10*y + 13 = 0, 3*y = -3*d + 6 for d.
5
Solve 5*o + 14 = b, 21*b = -2*o + 18*b - 9 for o.
-3
Solve 0*q + q + v - 3 = 0, -3*q - 4*v = -10 for q.
2
Solve -6*n - 5*r - 65 = 0, -n + 4*n + 29 = r for n.
-10
Solve 5*k + 7 = -4*j + 10*k, 2*k - 4 = j for j.
2
Solve 0 = -3*r - 4*a + 4, -r - 2*r = 3*a for r.
-4
Solve -11*s = -12*s - 4*g + 17, 0 = s - 4*g + 7 for s.
5
Solve 5*u + 5*a = -5 - 10, 4*u = -3*a - 10 for u.
-1
Solve 4*z = -2*f + 12, 4*z = -4*f + 25 - 9 for z.
2
Solve 4*p + 2*l - 12 = 0, 2*p - 7*l - 14 = -12*l for p.
2
Solve -3*z - 12 = 4*y, -39*y + 40*y + z = -3 for y.
-3
Solve -2 = -3*h + 4*h + 4*t, 0 = -h + t + 3 for h.
2
Solve -u + 7 = -2*k, 2*u - 5 = -k - 16 for u.
-3
Solve 4*t + 10 = -3*f, 2*f - f - 3 = 5*t for t.
-1
Solve 1 = -0*w + w + 2*y, 4*w - y = -14 for w.
-3
Solve 76*c = z + 81*c - 10, 0 = -5*z + 3*c + 22 for z.
5
Solve -2*w = -5*q + 21, 4*q - 12 = -w - q for w.
-3
Solve 0 = 2*b - 29*i + 31*i, 4*i = -2*b - 2 for b.
1
Solve 4*j - 3*k = 5, 2*k + 35 = 4*j + 5*k for j.
5
Solve 5*m - 2*g = 4, -66*m + 3*g = -64*m + 5 for m.
2
Solve -5*k + 3 = -12, -3 = -4*v + 3*k for v.
3
Solve -5*d + c = -4*d - 7, -4*d - 3*c - 7 = 0 for d.
2
Solve -22*p = 3*m - 24*p + 20, m + 2*p = 4 for m.
-4
Solve -c - 19*a + 24*a - 30 = 0, 0 = -3*c + 2*a - 25 for c.
-5
Solve 2*h - 8 = -3*w, -5*h + 10*w - 5*w + 20 = 0 for h.
4
Solve -5*b - 9 = -3*x, 3*b + 3 = 4*x + 2 for b.
-3
Solve 3*y - 5*j + 4 - 5 = 0, 8 = -4*j for y.
-3
Solve 0 = 5*h - 5*r + 20, 4*r = 15 - 7 for h.
-2
Solve -a = k + 4, -2*a - 14 = -8 for k.
-1
Solve -3*f = -h + 11, -15*f = -5*h - 16*f + 7 for h.
2
Solve -2*p = 5*s - 7, -2*p + 97*s - 101*s = -4 for p.
-4
Solve -q - 12 = -4*q, -5*n + 4*q = 41 for n.
-5
Solve -2*i - 4*y - 12 = 0, 3*i + 13 = -4*y + 3 for i.
2
Solve 0 = 4*v + 8*c - 10*c + 6, 2*c - 5 = 3*v for v.
-1
Solve 5*a = -0*b + 2*b - 12, -2 = 4*b + 3*a for b.
1
Solve -4*w = s + 3, 3*s - 62*w + 65*w + 18 = 0 for s.
-7
Solve 0 = -5*s - 3*h + 12, -4*s - 43*h = -47*h - 16 for s.
3
Solve -h - 3*w + 10 = 0, -11*h = -14*h + 2*w - 25 for h.
-5
Solve 4*c = -2*t + 16, 5*c = 3*t - 23 + 21 for c.
2
Solve 0 = -5*b + 3*b + o - 7, 5*b + 25 = -5*o for b.
-4
Solve f - 3*h + 6 = 0
|
{
"pile_set_name": "DM Mathematics"
}
|
5*q**2 - 6*q**2 wrt q?
-10
What is the second derivative of 16*k + k - 29*k**5 + 15*k**5 wrt k?
-280*k**3
Let f(u) be the third derivative of -19*u**4/24 - 10*u**3/3 + 13*u**2. What is the first derivative of f(x) wrt x?
-19
What is the derivative of -31*q**4 + 17*q**4 - 11 + 15*q**4 wrt q?
4*q**3
Let a(j) be the second derivative of 1/6*j**3 + 0*j**4 + 0 + 0*j**5 + 0*j**6 - 5/42*j**7 + 0*j**2 - 2*j. Find the second derivative of a(z) wrt z.
-100*z**3
Let z be 4/10 - (-4)/(-10). Let r = z - -1. What is the derivative of 1 + r + 2*h**4 + 0*h**4 wrt h?
8*h**3
Let i(z) = -62*z**6 + 16*z**2 - 11. Let f(m) = 21*m**6 - 5*m**2 + 4. Let w(j) = 11*f(j) + 4*i(j). Find the third derivative of w(u) wrt u.
-2040*u**3
Suppose -h + 4*h - 12 = 0. Let q be (6/9)/(4/6). Find the first derivative of -q - 1 - 2*b**4 + 4*b**h wrt b.
8*b**3
Let z(a) = -19*a - 16. Let w(p) = -18*p - 17. Let b(n) = -5*w(n) + 4*z(n). What is the first derivative of b(r) wrt r?
14
Let q(g) = g**3 - 9*g**2 + 8*g - 5. Let j be q(8). Let y be (j + 2)/(3/(-2)). Find the first derivative of 2 - 2 + y*a - 2 wrt a.
2
Let k(n) = n - 4. Let i = -6 - -12. Let s be k(i). Find the second derivative of s*x + 0*x**4 + 2*x**4 - 4*x wrt x.
24*x**2
Let v(l) be the second derivative of -2*l**7/3 + 17*l**4/12 + 12*l. Find the third derivative of v(y) wrt y.
-1680*y**2
What is the second derivative of -19*q**3 - 14*q + 36 - 36 wrt q?
-114*q
Let f(s) be the third derivative of -s**7/280 + s**4/3 - s**3/3 - 3*s**2. Let v(q) be the first derivative of f(q). What is the first derivative of v(l) wrt l?
-9*l**2
Let w(c) = c**4 + c**3 - 1. Suppose 3*r = -16 + 1. Let n(p) = p**4 + 5*p**3 + 4*p - 5. Let l(y) = r*w(y) + n(y). Find the second derivative of l(f) wrt f.
-48*f**2
Let a(h) = h**3 - 7*h**2 + 8*h - 7. Let i be a(6). What is the third derivative of -i*d**2 - 29 + d**3 + 29 + 2*d**2 wrt d?
6
Let w(g) = -9*g**3 + g**2 - 5*g - 5. Let u(c) = -5*c**3 - 3*c - 3. Let x(t) = 5*u(t) - 3*w(t). What is the third derivative of x(v) wrt v?
12
Suppose -3*y + 3*l = -24, 5*l = 5*y - y - 35. Find the second derivative of 6*g**5 + g**y + 5*g + g wrt g.
140*g**3
Let y(h) be the second derivative of 0*h**4 + 0*h**5 + 0 + 1/15*h**6 + 0*h**3 - 3/2*h**2 + 2*h. Differentiate y(z) with respect to z.
8*z**3
Find the second derivative of -2*w + 8*w**2 + w - 2*w + 0*w wrt w.
16
Let g(x) be the third derivative of x**6/120 - 5*x**4/24 - 5*x**3/6 + 8*x**2. Let s(m) be the first derivative of g(m). What is the derivative of s(v) wrt v?
6*v
Let s(a) be the second derivative of -3/2*a**2 + 0*a**4 + 1/15*a**6 + 0*a**3 + 0 + 0*a**5 + 3*a. Find the first derivative of s(v) wrt v.
8*v**3
Let y(d) = 7*d**3 + 2*d. Let t(w) be the second derivative of 2*w**5/5 + w**3/3 - 2*w. Let b(m) = -6*t(m) + 7*y(m). What is the second derivative of b(g) wrt g?
6*g
Let q = -11 - -13. Differentiate 4*x**4 + 2*x**4 - q*x**4 + 3 - 2*x**4 with respect to x.
8*x**3
Let s be 0 - 1 - (-5 + 2). Differentiate -2*p**2 + 2 - 3 - 4*p**2 + 0*p**s with respect to p.
-12*p
Suppose 0 = -l + s + 1, 2*l - 2*s + 6 = 4*l. What is the second derivative of -a + 2*a - a - 3*a + l*a**2 wrt a?
4
Let f(m) = -6*m + 3. Let h(t) = -31*t + 15. Let k(i) = 11*f(i) - 2*h(i). Let r(j) = 1. Let g(v) = -k(v) + 2*r(v). What is the derivative of g(p) wrt p?
4
Find the second derivative of -8*i + 18*i**3 + 2 + 21*i - 2 wrt i.
108*i
Let c(w) be the first derivative of 9*w**5/5 + 2*w**3 + 4. What is the third derivative of c(j) wrt j?
216*j
Suppose -2*j + 11 = r, -2*j + 0 + 8 = 0. Find the third derivative of -2*f**2 + 2*f**r + 0*f**3 - 3*f**3 + 4*f**3 wrt f.
18
Let v(d) = d**3 - d**2 + d - 1. Let m be v(2). What is the third derivative of 4*w**2 - w**2 - m*w + 4*w**5 + 5*w wrt w?
240*w**2
What is the first derivative of 11 + 3 + 4*t**2 + 1 wrt t?
8*t
Let b be (-3 - -2)*0/5. Differentiate b - 5 + 13*w**2 - 6*w**2 wrt w.
14*w
Let j(l) = -49*l**2 - 4*l - 20. Let t(r) = -r**2 - r - 1. Let g(d) = j(d) - 4*t(d). Differentiate g(v) wrt v.
-90*v
Let v = 7 + -2. Let y(p) = p**6 - p**2 + p + 1. Let f(o) = 2*o**6 - 4*o**2 + 5*o + 5. Let x(z) = v*y(z) - f(z). Find the third derivative of x(a) wrt a.
360*a**3
Let q(a) be the first derivative of 2*a**5/5 - 9*a - 9. Find the first derivative of q(g) wrt g.
8*g**3
Let i(d) be the second derivative of 0*d**2 - 1/4*d**4 + 0 - 1/6*d**3 + 3*d. What is the second derivative of i(t) wrt t?
-6
Let g(t) be the third derivative of -4*t**7/105 - t**4/8 + 7*t**2. Find the second derivative of g(f) wrt f.
-96*f**2
Let r be (-3 + -2)*3/(-3). What is the second derivative of -y**5 - 2*y - 12*y + r*y wrt y?
-20*y**3
Suppose 2*j - 2*o - 12 = 0, 3 - 1 = -5*j - 3*o. Find the second derivative of 0*c + 3*c + c**j - 2*c wrt c.
2
Let f(y) = 3*y**2 + y. Let j be f(1). Let z(m) be the first derivative of -2*m**2 + 7*m**3 - 7*m**3 + 2 - m**j. Find the second derivative of z(w) wrt w.
-24*w
Find the third derivative of 21*r**5 - 26*r**2 - 31*r**2 + 8*r**5 - 19*r**2 wrt r.
1740*r**2
Differentiate -18 + 11 + 6 - 24 - 11*i**2 wrt i.
-22*i
Let y(k) be the first derivative of -k**6/120 - k**4/12 - k**3 + 1. Let f(p) be the third derivative of y(p). Find the first derivative of f(m) wrt m.
-6*m
Let z(i) = i + 2*i - 22 + 20. Let a(w) = -4*w + 1. Let s(k) = -4*a(k) - 6*z(k). Differentiate s(v) with respect to v.
-2
Let s(h) be the third derivative of 0*h**3 + 1/24*h**4 + 0 - 2*h**2 + 0*h - 1/60*h**6 + 0*h**5. What is the second derivative of s(i) wrt i?
-12*i
Let q(a) be the first derivative of 3*a**5/20 - a**4/4 + 2*a - 6. Let n(m) be the first derivative of q(m). Find the third derivative of n(t) wrt t.
18
Suppose -14 = 3*x - 56. Suppose -5*r + x - 4 = 0. Find the second derivative of -3*w + 3*w**r + w - 2*w**2 wrt w.
2
Let s(y) be the first derivative of 0*y - 2/3*y**3 - 1/2*y**4 - 2 + 0*y**2. Find the third derivative of s(o) wrt o.
-12
Let q(d) be the first derivative of -2*d**6/3 + 5*d**3/3 + 2. What is the third derivative of q(i) wrt i?
-240*i**2
Let n(q) be the first derivative of -1/4*q**4 + 0*q**2 + 4 + 4/3*q**3 + 0*q. What is the third derivative of n(f) wrt f?
-6
Let l = 0 + 2. Suppose -3*y - 4 = -m - y, 2*m + 1 = -5*y. What is the second derivative of x - x**2 + x - m*x**l - x wrt x?
-6
Let i(s) = 2*s**4 + 2*s**3 - s**2 + 2*s + 2. Let j(z) = z**4 - z**3 - z - 1. Let t(b) = -i(b) - 2*j(b). What is the third derivative of t(v) wrt v?
-96*v
Let z(s) = -s**2 + 7*s - 7. Let b be z(5). Differentiate 4*o**b - 3*o**3 + 5*o**3 - 2*o**3 - 5 wrt o.
12*o**2
What is the third derivative of -5*j**2 - 5*j**2 + 4*j**2 - 3*j**2 + 3*j**5 wrt j?
180*j**2
Let h(x) be the third derivative of 7*x**6/120 - 5*x**3/6 - 6*x**2. Differentiate h(z) wrt z.
21*z**2
Let h be (6/5)/((-1)/5). Let s(o) = o**2 + 6*o + 2. Let u be s(h). What is the second derivative of 3*n - 4 + 3 + 1 - u*n**3 wrt n?
-12*n
Let l(f) = 2*f**4 + 4*f**3 + 4*f**2 + 25. Let s(b) = 3*b**4 + 3*b**3 + 3*b**2 + 26. Let m(h) = -3*l(h) + 4*s(h). What is the first derivative of m(i) wrt i?
24*i**3
Find the second derivative of 6*j - 32*j + 165*j**4 - 178*j**4 wrt j.
-156*j**2
Let w(u) be the third derivative of 7*u**4/24 + 5*u**3/3 + 2*u**2. Differentiate w(v) wrt v.
7
Let y(x) be the third derivative of -x**4/6 + x**3/6 + 4*x**2. Find the first derivative of y(t) wrt t.
-4
Let h(k) be the first derivative of -9*k**4/2 + 20*k + 10. What is the first derivative of h(z) wrt z?
-54*z**2
Let j(y) be the third derivative of y**5/30 + 7*y**4/12 - 24*y**2. Find the second derivative of j(v) wrt v.
4
Let r(i) be the third derivative of 1/20*i**5 + 0*i**3 + 0*i**6 + 1/112*i**8 + i**2 + 0 + 0*i**7 + 0*i + 0*i**4. Find the third derivative of r(k) wrt k.
180*k**2
Let f(r) be the second derivative of 0*r**3 + 1/2*r**4 + 0 + r**2 + 8*r. What is the first derivative of f(v) wrt v?
12*v
Let i(d) be the first derivative of -d**6/90 + d**5/40 - 4*d**3/3 + 1. Let f(k) be the third derivative of i(k). What is the second derivative of f(u) wrt u?
-8
Differentiate 6 - 6*d + 0*d + 0*d wrt d.
-6
Let l(r) = 23*r**5 - 7*r**2 - r - 1. Let t(y) = y**5 - y - 1. Let g(s) = -l(s) + t(s). What is the third derivative of g(p) wrt p?
-1320*p**2
Let x(s) be the third derivative of -s**6/180 + s**4/12 + 2*s**3/3 - s**2. Let y(r) be the first derivative of x(r). What is the d
|
{
"pile_set_name": "DM Mathematics"
}
|
i - 131. Solve -c*r + 5 - 1 = -3*w, 0 = -4*w - 4*r - 16 for w.
-3
Let p be (-12)/(-90)*-30*1/(-2). Let h(v) = v**2 - 2*v + 1. Let o be h(3). Suppose 2*b + 8 = o*b. Solve 5*r - g = -12, 5*g - p = b*g for r.
-2
Let g be (-14)/21*((-333)/(-2))/(-3). Suppose 4*r - 81 = -g. Solve -y - r + 2 = -2*h, -h + 5*y + 9 = 0 for h.
4
Suppose 5*l - 3*t + 5 = 13, -2*l - 3*t + 20 = 0. Suppose p = 5*o - 6, l*p - 13 = -4*o + 11. Let v = 10 + -6. Solve -15 = u + 2*u - v*k, -u + o*k - 5 = 0 for u.
-5
Let t = 72 - 69. Suppose k + 5*k = t*k. Let s be (k*(-5)/(-25))/(-2). Solve s = -2*n + 5*w - 16, n - 5*w = -3 - 15 for n.
2
Suppose -5 = -3*o + 1. Suppose -o*v + 5*k = -14, 6 - 2 = -3*v - 5*k. Solve v*d - 19 = -5*i, 0 = -4*d + 5*i + 8 - 45 for d.
-3
Suppose 0 = 290*l - 334*l + 176. Solve 11*z = -b + 16*z + 23, 0 = l*b - z + 3 for b.
-2
Let g be 3*(-5 - -15 - 9). Solve -b - o + 14 = -4*b, b + g*o = -8 for b.
-5
Let v = -7762 + 7765. Solve -v*z = 13*b - 11*b + 1, 3*b - 18 = 2*z for z.
-3
Let p be (-13)/(-39) + (-16)/(-6). Suppose 2 - 10 = -8*n. Let v be 3*(1 + n) - 1. Solve -c + 2*z = -p, 2*c + v = 3*c - 4*z for c.
1
Let u(x) = x**2 + 10*x - 93. Suppose -5*d - 5*c - 54 = -d, 22 = -2*d - 5*c. Let g be u(d). Solve -l + g*s = 14, -2*s = 4*l - 0*l + 14 for l.
-5
Let r(h) = -h - 8. Let p be r(-10). Suppose 3*x = 5*l - 1, 0 = p*x - l + 13 - 17. Solve g - 2*m = 10, 5*m = -2*g + x*g - 22 for g.
2
Let x(u) = -115*u**3 - 3*u**2 - 9*u + 11. Let i be x(1). Let m = i - -118. Solve 12 = 5*c - 4*d, d = 5*c + m*d + 3 for c.
0
Suppose -80*v + 78*v = 0. Suppose 5*d = 4*d. Suppose d = 3*t - 0*t - 9. Solve -2*q - 5*n - 21 = v, 2*q + t = -2*n - 3 for q.
2
Let l(x) = -48*x**2 - 3*x - 2. Let m be l(-1). Let i = m + 47. Suppose i = 5*j, 0 = -5*h + j + 13 + 7. Solve -b + 11 = 3*b - 3*u, h*b + 3*u = -19 for b.
-1
Suppose -5*o + 5*k + 55 = 0, 3*o + 2*k = -27 + 45. Solve 5*c + 10*d - 20 = -0*c, -4*d + o = 3*c for c.
0
Let w be 21 + (-19)/38 + (-9)/(-2). Let h = -11 - -12. Suppose 24*m = w*m - h. Solve 3*o + r = 11, o + 3*r = m - 0 for o.
4
Suppose -3*f + 1179 = -7*h + 3*h, 3*h - 2*f = -884. Let t = h - -294. Solve -3*u = 9, -3*u = 4*w - t*u - 3 for w.
3
Let c be -2*(-1)/(-10) - (-8)/40. Suppose c = -4*n + 62 + 34. Suppose 29*d = n*d. Solve 6*f - 3*x - 8 = 2*f, d = -4*f + 5*x + 16 for f.
-1
Suppose 0 = 46*d - 41*d - 15. Suppose 0 = -4*g - d*n + 14, 3*g = 4*g - 5*n - 15. Solve -u - 14 = -g*z, u + 0*u = -4 for z.
2
Suppose 4*d = 12, 3*h = -2*h + d + 27. Let x(b) = b**2 - 13*b + 46. Let l be x(5). Solve -4*v = -y - h, 2*y - 3*v = l*y + 5 for y.
-2
Suppose -280 + 282 = g. Suppose -3*s = 4*m, -g*m + 12*s = 14*s. Let n be ((-9)/(-6))/((-3)/(-32)). Solve -i - f = 5, -5*i - 2*f = -m*f + n for i.
-2
Let t(k) = k + 9. Let n(h) = -h - 1. Let a be n(7). Let m be t(a). Let d be 18 - 10 - m*(0 + -1). Solve 2*w = -2*o - 2*o - 18, -3*o = -3*w + d for w.
-1
Let k(z) = 185*z + 19. Let u be k(2). Let n = -385 + u. Solve 25 = -p + n*g, -g - 22 + 2 = 5*p for p.
-5
Let k(r) = 149 - 57 + 7*r - 48 - 17*r - 48. Let a(m) = m**3 - m - 1. Let h be a(0). Let y be k(h). Solve d - 6*t = -3*t + y, 4*d = 5*t + 3 for d.
-3
Suppose -5*f + 29 + 1 = -0*f. Solve 2*b + 4*a = 14, 2*a + f = b + 3*a for b.
5
Let b(m) = -38*m + 38. Let n be b(8). Let k = n + 269. Solve 3*z = -k*g + 12 + 6, 0 = -3*z + 5*g - 6 for z.
3
Let o be 172/(-36) + (-3)/((-27)/(-2)). Let y be 6 - (-4*1 + 10 + o). Solve y*d = 2*q + 1 - 30, -2*d = 2*q + 6 for q.
2
Let n be (-88)/(-6) - 2/(-6). Let v = -1356 + 912. Let j = -443 - v. Solve l = -3*w - l - j, -3*l = n for w.
3
Suppose -5*b = -5*a, 4*a + b - 17 - 3 = 0. Let m be (-9 - (26 - 23))*(-4)/6. Solve 3*r - 13 = -a*c - 1, 0 = -2*r - 5*c + m for r.
4
Suppose -19*w = 21*w - 1600. Solve 23 = 2*z - 3*u, -3*z + 4*u + w = 2*z for z.
4
Let i be (7 + -8)*20*(6/8)/(-3). Solve -9*s = 5*p - 5*s + 28, 0 = -4*p - i*s - 26 for p.
-4
Let r(d) = d**2 + 86*d + 624. Let z be r(-8). Solve -5*h + 5 = 2*t - z, -2*t + 5*h = 25 for t.
-5
Let o(d) = -3*d + 1. Let h be o(-1). Let j = -381 + 388. Suppose 2*n - j = -v, -2*n + 4*v = -7*n + 10. Solve 2*z = -2*w - n, -h*w = 5*z - w + 7 for z.
1
Suppose 17*h - 26 - 11 - 31 = 0. Solve 0 = 4*n, 10*w - 6*w = 4*n + h for w.
1
Let g = -15 - -9. Let d(m) = -4*m + 4. Let l(t) = -3*t + 3. Let j(b) = g*l(b) + 5*d(b). Let q be j(-2). Solve -q = 2*i - 3*n, -3*i + 4*n - n - 6 = 0 for i.
0
Suppose -2*o + 21 = 463. Let w = o + 222. Solve -3*z = l - 11, -3*z + 11 + w = 0 for l.
-1
Let d = 4 + -2. Let g be (0/82)/(6 - -4). Solve g = 4*q - 2*c + d, -5*q = 2*c - 1 + 8 for q.
-1
Suppose 0 = -n - 4*t - 22, 4*n = -5*t + t - 40. Let p be -3 + (-1)/((-3)/(15 + n)). Solve -b = -h + 1, -12 = 3*b - p for h.
-3
Let s be 1/(5/(-30)*-6). Let v be (116/145)/(s/5). Solve -3*q = 2*q - v*j + 5, 4*j = 2*q + 14 for q.
3
Let v(h) = 65*h + 1565. Let p be v(-24). Solve -3*s - 17 = 4*j, -2*s + p = 5*j - 7*s for j.
-2
Suppose -18975 + 19055 = 10*l. Solve 10*g + 5*s = 7*g + 14, -s = -3*g + l for g.
3
Let i be (22 - 36) + 12 + 2. Let u = 3 - 3. Let q = u + i. Solve x + 3*n + 4 = 10, q = -2*x - 4*n + 10 for x.
3
Suppose -2*r + 49 + 143 = 0. Suppose 4*o - 16*o = -r. Solve 5*m + 2*s = 11 + 18, 4*s = o for m.
5
Let u(b) = 4*b**2 + 39*b. Let z be u(-10). Solve -z*n + 5*q - 31 = -14*n, -4*n + 5*q = -1 for n.
4
Suppose 19*d = 36*d. Suppose d = 3*y - 0 - 27. Let k = -26 - -41. Solve -y = s + 2*q, k = 2*s - 5*s - 3*q for s.
-1
Let j(z) = -4*z**2 + 23*z + 8. Let w be j(6). Solve -5*l + w*l - 19 = 2*y, y + l = -8 for y.
-5
Suppose 0 = -w - 3*t + 66 - 1, 5*t = -3*w + 215. Suppose 0 = -y + 6*y + w. Let u = -12 - y. Solve -2*s + u = 4*k, s = k - 1 - 0 for k.
1
Let p(z) = -z**3 + 10*z**2 - 27*z + 165. Let n be p(9). Solve 3*x + 18 = 6*v - n*v, 4*v + x = -1 for v.
1
Suppose 11606 = 7*w + 11578. Solve -12*z + 8*z + o - 25 = 0, -w*z - o = 15 for z.
-5
Let c = -42 + 83. Let x = c - 38. Suppose 0 = f - 5*q - 5, 5*q - 45 = -3*f - f. Solve -2*i - 25 = x*g, 2*i - 5*g = -g + f for i.
-5
Suppose 22*j - 3*j + 9880 = 0. Let v = j + 527. Solve 5*l = 3*p + 3 - v, -5*p = -5*l - 10 for l.
1
Suppose -11*t - 3*t + 980 = 0. Let w = -56 + t. Solve -4*c + 5 = f, -2*f + 2*c - w = -2*c for f.
-3
Suppose -4*f = -6*f - 14. Let y(c) = -c**2 - 9*c - 12. Let r be y(f). Let o be (-6)/9*(-15)/r. Solve -6*q + 2*q = -20, 0 = 5*x - 4*q - o for x.
5
Let w = 44 - 44. Suppose 6*a + 33 - 807 = w. Let n = a - 111. Solve -5*z = -3*d + 20, -3*z - 2*d = n - 6 for z.
-4
Suppose -2*p - 2*c = -18, -18 = -2*p + 2*c - 16. Solve 17*t + 6 = 3*s + 14*t, -5*t = p*s + 20 for s.
-1
Let m be (27/(-36))/(48/(-256)). Solve -6*z + 4*z + m = 0, -3*z = 5*b - 6 for b.
0
Suppose k + 21 = 24. Suppose 3*b - 6*b = o - 9, 2*b - 17 = k*o. Let g be 20/8 + (-1)/2. Solve -g*p = -5*v - 12, 3*p - 7*p + 3*v = b for p.
-4
Suppose -477*j + 484*j = 7. Let b be (2/5)/((-1)/(-5)). Suppose 0 = 3*p - 0*p - 5*x - 100, -5*p - b*x + 115 = 0. Solve -2*f + 4 = 3*a - j, -a + p = -4*f for a.
5
Let t be 6 + 12 + 2 - 7/1. Solve t*j - 17*j - 4 = 0, j = -3*v - 16 for v.
-5
Suppose 0 = -3*q - 2 + 14. Suppose -147*n = -124*n - 3634. Suppose -170*u = -n*u - 36. Solve 0*f + v = -3*f + 6, 0 = u*f + q*v - 6 for f.
2
Let b(t) = -t + 38. Let p be b(10). Suppose -70*x - p = -71*x. Solve 2*j = -5*m - x, -m + 2*m + 3*j = -16 for m.
-4
Suppose 495 = 67*y + 227. Solve -4*m = y*j + 12, -5*j = -3*m - 2*j - 21 for m.
-5
Let v = 5803 + -5798. Solve 4*u = 6*s - v*s, -5*u = 5*s for s.
0
Let f be 123/1968*32/1. Solve 0 = -5*b - f*q + 28, -4 = -3*b + 2*q - 0 for b.
4
Let r(q) = -3*q**3 + 13*q**2 + 65. Let w be r(0). Solve -5 = 64*s - w*s - 3*k, -2*s - 5*k = -6 for s.
-7
Suppose -60*t + 86*t - 540 = -82*t. Solve a = -2*c + 13, 19 = 3*a - t*c + 24 for a.
5
Let c = 58 - 78. Let p be 2 + (-36)/c + (-2)/(-10). Suppose q - 9 = -5*m, p*m + 1 = 3*q - 7. Solve 4*y + 3*s - 10 = 0, 3*y + 4*s = 5*s + m for y.
1
Suppose -14 = -b - 13. Suppose -r + 2*y - b = 0, 2*r = -2*y - 2*y + 14. Solve -r*s + 6*s = 5*f - 7, 0 = 4*f - 2*s - 4 for f.
-1
Let x be (-729 - 8) + 5 - 7. Let y = x + 741. Solve -y*i - 1 = -3*z, 3*i = -3*z - 2*z - 30 for z.
-3
Suppose -20*v = 100 - 140. Solve -5*w + 30 = -4*m, v*w + 3*m = -w - 9 for w.
2
Let n be 6/(-5)*(-4 + 10/15). Suppose 16 = n*a, y - 3*a = 2*a - 4. Solve 0 = -5*d + 2*h - y, -2*h + 2 - 14 = 2*d for d.
-4
Suppose -3*h + 3 = 4*v - 0*h, -3*v
|
{
"pile_set_name": "DM Mathematics"
}
|
-3
Express (-24 - 17 + 22)*(4 + 3*w - 4 + (3 - 3 + w)*(5 - 4 + 1)) as f + n*w and give n.
-95
Express 6*l + 17*l + 13*l + 23*l - 11*l + 5 in the form n*l + j and give j.
5
Rearrange -3*k**2 + 47 + 4*k**2 + 11*k**3 + 47 - 96 to a*k**3 + n + f*k**2 + r*k and give f.
1
Rearrange 3*m**2 + m**2 - 2*m**2 + (0*m + 0*m - 3*m)*(-316 - 439*m - 319 + 636) to a*m**2 + r + w*m and give w.
-3
Rearrange (0*m + m - 2*m)*(-1 - 2 + 2 - 4 + 4 - 3 + 0 + 0 - 1 + (3 - 1 - 3)*(-6 + 3 + 1) + 0 - 6 + 0) to l*m + u and give l.
9
Rearrange -1705 + 1705 - 15*t**3 + t**2 to the form d + p*t**3 + w*t**2 + o*t and give w.
1
Express -17*b - 12*b + 121 + 30*b + (5 - 1 - 3)*(-b - 3*b + 5*b) as d + i*b and give i.
2
Rearrange 29 + 2*d + 0*d**3 - 255*d**2 - 264*d**2 - d + 520*d**2 - 3*d**3 to a*d + x*d**3 + v*d**2 + k and give k.
29
Express 4 + 15 + h**2 + 1 + 0 - h as p + n*h + x*h**2 and give x.
1
Rearrange -69472*y**3 - 9 + 69471*y**3 + y**2 - y**2 - 4*y to g + x*y + c*y**2 + m*y**3 and give g.
-9
Rearrange 3*x**3 - 2*x**4 - 5*x**3 + 132*x - 130*x + 6*x**2 - 31*x**2 to the form w*x**2 + z*x + h*x**3 + i*x**4 + c and give h.
-2
Express (-3 + 3 + 2)*(-5 - 2 + 6)*(339*g + 1019*g - 363*g) in the form s*g + x and give s.
-1990
Express 26*t**3 - 15*t**3 + 85*t**2 - 5*t**3 - 2*t**4 - 8*t**3 + 3*t in the form i*t**2 + j*t**4 + a*t + h*t**3 + o and give j.
-2
Rearrange -32*x - 517*x - 266*x + 9*x to i*x + s and give s.
0
Express (-3*n + n - 2*n)*(-20125 - 365*n + 20125) as a*n + o + b*n**2 and give b.
1460
Rearrange -3 + 6 - 17*u - 3 + u - 3 + 3 + (0 + 2*u + 0)*(1 + 0 + 0) - 3*u + u + u to the form b + d*u and give b.
0
Express -6*o + 1393 - 1399 - o**3 - o**2 + 2*o in the form d*o**3 + p + m*o + v*o**2 and give m.
-4
Express 2*r**3 + 19*r - 28*r + 7*r - 45*r**2 as g*r**3 + a*r**2 + x*r + h and give g.
2
Express 0*k + 154*k**2 - 4 + 2*k + 4*k**3 - 4*k - 152*k**2 in the form b*k**3 + l + n*k**2 + j*k and give j.
-2
Rearrange 144 - 31*n**2 + 30*n**2 + 95 to t + h*n**2 + g*n and give h.
-1
Rearrange -b**3 - 69*b**2 + 119*b - 5*b**2 - 121*b to x + y*b + f*b**3 + w*b**2 and give w.
-74
Rearrange -2 - 32*l**3 + 15*l**3 - 10*l**4 + 3 + 16*l**3 to h + t*l**3 + u*l**4 + k*l**2 + j*l and give t.
-1
Express (3 + 3 - 7)*(4*t**2 + 0*t**2 - 2*t**2) - 17*t**2 + 21*t**2 - 10*t**2 - 5*t**2 - 137*t + 6*t**2 - 2*t**2 as o*t**2 + n + r*t and give o.
-9
Express -3*i**4 - 335121 - 2*i**2 - i + 5*i**4 + 335201 in the form k*i + p*i**2 + a*i**4 + u + c*i**3 and give a.
2
Express -61*u + 8 - 24 - 367*u + 16 in the form k*u + c and give k.
-428
Express -d**2 + 308 + 303 - 613 + 2*d - 4*d**4 - 8*d**2 in the form y*d + t*d**4 + c*d**2 + g + f*d**3 and give y.
2
Rearrange (5*v - 34*v - 8*v)*(-20 + 3*v**3 + 20) + (4*v**2 - 5*v**2 + 3*v**2)*(4*v - v**2 - 4*v) to the form y*v**3 + p*v**2 + q*v + r*v**4 + s and give r.
-113
Express -4 + 7*y - 4*y + 0*y**3 - 4 - 2*y**3 + 6 as f*y**2 + h + d*y**3 + n*y and give d.
-2
Express 17*g**2 + 3 - 2 - 4 + 4 + 17 as k*g**2 + o*g + x and give x.
18
Rearrange -46*d**2 + 50*d**2 + 0 - 10 + 171*d - 172*d + 1 to u*d + t + v*d**2 and give v.
4
Express 1986 + 11*t - 1985 - t**4 - 4*t**2 - 9*t as g*t**2 + l*t**4 + s*t + p*t**3 + d and give g.
-4
Rearrange 128*k + 6 - 13 + 8 to p + h*k and give p.
1
Express 307*g**2 - 181*g**2 + 5*g**2 as l*g**2 + c*g + f and give l.
131
Express -y**2 - 62 - 167 - 98 + 66 in the form p*y**2 + l*y + x and give l.
0
Express 3029*w + w**2 - 6062*w + 3030*w in the form p*w + u*w**2 + x and give p.
-3
Rearrange -202*x - 249*x**2 + 202*x to r*x + t + y*x**2 and give t.
0
Rearrange -91 - 16 - 36*c + 37*c to the form x*c + t and give x.
1
Express -10 - 103*c + 4 + 7 as h*c + n and give n.
1
Express (5*r - 3*r - 3*r)*(-2 - 1 + 5)*(117 - 399 - 544 - 620) in the form q + i*r and give i.
2892
Express (66 - 109 + 85 + 64)*(13*c + 10*c + 0*c)*(-1 + 0 - 1) as g*c + x and give g.
-4876
Rearrange 17*f**3 - f**2 + 22*f**3 + 2*f - 58*f**3 + 2*f**4 to d*f**2 + b*f**3 + m*f**4 + t + s*f and give s.
2
Rearrange 2*y**2 - 626*y + 165*y - 448*y + 126*y to w*y**2 + b*y + n and give b.
-783
Express 17*k + 42*k + 35*k - 16*k as q*k + l and give l.
0
Rearrange 14*s + 12*s + s + 4 + 11*s - 13*s to c*s + o and give c.
25
Express (0*j + 0*j + j)*(-8889*j**2 + 223*j**3 + 8889*j**2 + (4*j**3 + 0*j**3 - 3*j**3)*(2 - 1 + 0)) in the form m*j**4 + f*j**2 + l + i*j + w*j**3 and give m.
224
Rearrange -110*h + 117*h**2 + 215*h - 105*h + 1 to p*h + r*h**2 + u and give p.
0
Express 232*j**2 + 134*j**2 - 53*j**2 as y*j + v + k*j**2 and give k.
313
Rearrange 14 + 49*c - 13 - 17*c + 90*c to u*c + h and give u.
122
Express (s - 2*s - 7*s + 16*s)*(151 + 232 - 67) in the form y*s + t and give y.
2528
Rearrange 1 + 6*m**3 - 2*m**3 + 13*m**2 - 34*m**2 + 3*m**3 - 26*m**2 to the form o + b*m**2 + x*m + t*m**3 and give o.
1
Express 136 + 138 + 45 - 2*q - 78 + 159 in the form v + s*q and give v.
400
Express -1 + 10 - 8*s + 43*s**2 + 11*s - s in the form t + x*s + b*s**2 and give x.
2
Express (-33 + 19 + 76)*(2*l + 3*l - 2*l) + 3*l + 2*l - 3*l as y + r*l and give y.
0
Express 626*i - 1 + 124*i + 1 + 72*i as j + k*i and give k.
822
Rearrange 49*c**2 - 114*c**2 + 105*c**2 to k + x*c + r*c**2 and give r.
40
Rearrange (7*w - 5*w - 7*w - 8*w)*(-607 + 88*w**2 + 607) to the form p*w**3 + k*w**2 + i*w + f and give p.
-1144
Rearrange (-2 + 4 + 0)*(3*g**2 + 3*g**2 - 5*g**2) + (-4*g + 0*g + 3*g)*(3 + 0 + 2)*(-80*g + 95*g + 58*g) to the form o + s*g + n*g**2 and give n.
-363
Express -8*r**3 - 9*r**3 + 10*r**2 + r**4 + 9*r**3 in the form f*r**4 + q + z*r + m*r**3 + c*r**2 and give m.
-8
Express 6*v - 2*v**2 + 0*v + 4062*v**3 - 4*v - 3506*v**3 in the form t*v**3 + s*v + f + x*v**2 and give t.
556
Rearrange (-3 + 4 + 5)*(48*v + 5*v**3 - 48*v) to c*v**2 + l + d*v + m*v**3 and give m.
30
Express -175*y**2 - 176*y**2 + 216*y + 524*y**2 - 170*y**2 in the form r + v*y**2 + p*y and give p.
216
Rearrange 431*n - 25*n - 37*n to the form f*n + x and give f.
369
Rearrange 2*l**2 - 24*l + 85*l + 134*l to the form c*l**2 + a + k*l and give c.
2
Rearrange -18773*p**4 + 12*p**2 + 6*p**2 + 18776*p**4 - p - 5*p**3 + 5*p**3 to j + s*p + b*p**2 + c*p**4 + x*p**3 and give c.
3
Express -313*t + 262*t - 227*t in the form h*t + o and give h.
-278
Express (78 - 16 + 36)*(-q - 1 + 1) - 5*q + 2*q + 5*q + 2*q - q - 3*q + (-3*q + 11*q + q)*(-4 + 2 + 3) in the form y*q + w and give y.
-89
Rearrange (-7*m - 400 + 400)*(-44 + 16 - 30*m + 25) to s + y*m + w*m**2 and give y.
21
Rearrange -34*k + 14*k - 5*k**2 - 11*k**2 + 17*k - 57*k**2 to o*k**2 + s + j*k and give s.
0
Express -2110*w - 1544*w + 2682*w in the form i*w + o and give i.
-972
Rearrange -64*r - 332*r - 19*r to the form p + i*r and give i.
-415
Express 64462 - 3*v**2 - 5*v - 64472 + 0*v**2 in the form z*v**2 + i + x*v and give x.
-5
Express (-r - 4*r + 3*r)*(508 - 608 + 424) - r + 2*r + 0*r in the form t + x*r and give x.
-647
Rearrange (3 - 3 + 1)*(-2*i + 11 - 11) - 22*i + 12*i + 11*i - 59 to n + v*i and give v.
-1
Express 45*b - 5 + 31*b - 31*b in the form y*b + x and give x.
-5
Express -810*m + 379*m + 338*m + 1 in the form z + f*m and give z.
1
Rearrange (-1 + 2 + 2)*(-45 + 87 - 18)*(2*d - 5*d + 4*d) to the form i + q*d and give q.
72
Express ((4*b + 11 - 11)*(-2 + 6 + 0) + (-3 + b + 3)*(2 - 1 - 2) + b + 4*b - 3*b)*((1 - 2 + 2)*(-3 - 3 + 5) + 10 + 14 - 8) as k*b + c and give k.
255
Rearrange -68*b - 13 + 146*b**2 + 12 + 68*b to t*b**2 + w*b + u and give w.
0
Rearrange (-71*y - 29*y - 25*y + 16*y)*(588 - 588 - 30*y**2) to q*y**2 + d*y**3 + g + s*y and give d.
3270
Rearrange i**4 + 60*i + 3*i**2 - i**3 - 29*i - 34*i to b*i**2 + k*i**3 + g*i**4 + y + u*i and give u.
-3
Express -p - 115 + 20*p**2 + 5 - 23*p**2 + 9 as l*p + t + j*p**2 and give l.
-1
Rearrange 4*a - a - a + (1 + a - 1)*(2 + 0 - 3) + 4*a - 3*a + 0*a - 8 + 176*a + 0 - 175*a to l + v*a and give l.
-8
Express -201 + 406 - 794*h - 207 as r*h + s and give r.
-794
Express 36 - 72 + 36 - 108*v**2 + 2*v in the form l*v**2 + c*v + u and give l.
-108
Express -440*r + 4 - 598*r - 4 in the form a*r + s and give a.
-1038
Express 2521 - 5048 + 2527 + 36*i as f + r*i and give f.
0
Rearrange -30*d**2 + 29*d**2 - 13 + 4*d**3 + 13 - d**4 to l + t*d**3 + a*d**2 + i*d + y*d**4 and give a.
-1
Rearrange (3 + 4 + 9)*(2*s - s + s) - 7*s - 3 + 3*s -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3 - 3 + l**4 - 2*l**3 - 10*l**4 - 19320*l**2 + 1 - 2 + 19316*l**2.
-13*l**4 - 2*l**3 - 4*l**2 - 1
Expand (-184*m - 182 + 182)*(0*m + m - 2*m).
184*m**2
Expand -10*j**4 + 6*j**4 - 8*j**4 + (-3 + 4 + 1)*(-1 - 2*j**4 + 1).
-16*j**4
Expand 15*b**2 - 15*b**2 - 12*b**3 + 2*b**3 - 4*b**3 + 6*b**3 + (0 - 2*b + 0)*(-2*b**2 - b**2 + 2*b**2) - b**3 + 2*b**3 - 3*b**3.
-8*b**3
Expand (1 + 0 + 0)*((-3229 - 323*h + 3229)*(2 + 0 - 4) + 2*h + 2*h - 3*h).
647*h
Expand (3 - 3 + 3)*(2*f**2 - f**2 + f**2) + 0*f**2 + f**2 + 0*f**2 + (-2 - 2*f + 2)*(f + 3*f - 5*f) - 3*f**2 - 3*f**2 + 3*f**2 + 30*f**2 - 16*f**2 + 13*f**2.
33*f**2
Expand 0*n**3 + 13*n**3 - n**3 + (-37*n - 6*n - 43*n)*(n**2 - 3*n + 3*n).
-74*n**3
Expand 0*n - 3*n + 6*n + 2*n - n + 8*n + (4*n - 2*n + n)*(0 + 3 - 1) - 2*n + 5*n - 4*n.
17*n
Expand (-4*v**2 + v**2 + v**2)*(-2*v + 1 - 1) + 0*v**2 - 2*v**3 + 0*v**2 + v**2 + 4*v**3 - v**2 - 6835*v + 6835*v + 1 - 31*v**3.
-25*v**3 + 1
Expand (-2*b + 3*b + 0*b)*(4 - 4 - b**3) - 32*b**4 + 56*b**4 - 40*b**4.
-17*b**4
Expand (-5*m + 37*m - 12*m)*(2*m**2 - 3*m + 0*m**2 - 4*m**2).
-40*m**3 - 60*m**2
Expand -151*v**2 + 7 - 2*v**2 + 8 - 15 + (0*v**2 + 3*v**2 - v**2)*(4 - 3 - 2).
-155*v**2
Expand -4*m**2 - m + m + (0*m + 0*m + 2*m)*(0*m - 3*m + 4*m) + (1 + 0 + 0)*(18*m - 18*m - 128*m**2) + 3*m**2 - 6*m**2 + 2*m**2.
-131*m**2
Expand 0*f**3 + 2*f**3 - f**3 + (f**2 - 4*f**2 + 5*f**2)*(-3*f + 3*f + f) - 4*f**3 + 2*f**3 + 0*f**3 + (5*f - 3*f + 0*f)*(-3*f + 4994*f**2 - 5122*f**2 + 3*f).
-255*f**3
Expand (h + 0*h - 2*h)*(1 - 2 + 2)*(-5 + 4 + 9*h + 4).
-9*h**2 - 3*h
Expand (5*o - 5*o + 10*o**2)*(14*o + 10*o - 6*o) + 3*o**3 + 0*o**3 - 4*o**3.
179*o**3
Expand (-1 - 2*l + 1)*(2 + 5 - 2)*(2*l - 5*l + l)*(1 - 1 - 6*l)*(-l + l - l).
120*l**4
Expand (6*t**4 + 0*t**4 - 3*t**4)*(t + 3 - 3) + 4*t**5 - 3*t**5 + t**5 + (0*t**2 - 2*t**3 + 0*t**2)*(2*t**2 - 2*t**2 - t**2).
7*t**5
Expand 7*v**3 - 7*v**3 - 667*v**5 + 896*v**5 + (-2*v**4 - v**2 + v**2)*(4*v - 2*v + 0*v) + 2*v**5 - v**5 + 0*v**5.
226*v**5
Expand 45 - 45 + 8*c**5 + (-c**3 - 4*c**3 - 2*c**3)*(-4*c**2 + 0*c**2 + 2*c**2).
22*c**5
Expand (-u - u + 3*u)*(1 - 2*u - 1)*(9*u**2 - 28*u**2 - 23*u**2).
84*u**4
Expand (-m**2 + m**2 + 3*m**4)*(-157 - m - 83 + 4*m + 85).
9*m**5 - 465*m**4
Expand 4*h**2 - h**2 + 3*h**2 + (h - 4*h + h)*(-h + 2*h - 2*h) - 2*h**2 - 4*h**2 + 3*h**2 + h**2 + 2*h**2 - h**2 - 3 + 3 - 2*h**2 + 3*h**2 - h**2 + 3*h**2.
10*h**2
Expand 240*m - 240*m - 7*m**5 + (4*m**2 + 0*m**2 + 2*m**2 + (1 + 0 + 0)*(-2*m + 2*m + m**2))*(-2*m + 2*m - 4*m**3).
-35*m**5
Expand -3*h + 4*h + 3*h + (4 - 4 - 2)*(0*h - h - 7*h).
20*h
Expand (-64 + 254 + 352 - 1)*(2*i**5 + 0 + 0).
1082*i**5
Expand (-p + p + 4*p)*(2 - 3 - 1) + (5*p + p - 3*p)*(2 - 3 + 0) + 185 - 94 - 3*p + 4*p.
-10*p + 91
Expand (-2*b**2 - 3*b + 3*b)*(0 + 0 - b) - 1247*b**3 + 195706 - 195706.
-1245*b**3
Expand 5*k - 5*k - 4*k**3 - k + k - 2*k**3 + k**3 + 0*k**3 + 0*k**3 + (2*k**2 + k**2 - 4*k**2)*(-k + 2*k - 3*k) + 4 - 4 + 2*k**3 + 2*k**3 + 3*k**3 + 7*k**3.
11*k**3
Expand (11*t + 4*t**5 - 11*t - 2*t**4 - t**5 + 2*t**4 + (3*t - 3*t - 2*t**2)*(t**3 - 4*t + 4*t) - 4*t**5 + 4*t**5 + 7*t**5)*(-1 - 1 - 3).
-40*t**5
Expand (-2*x**2 + 8*x**2 - 2*x**2)*(-4*x + 2*x - 3*x + (4*x - 3*x + 0*x)*(-1 + 1 + 1) + 0*x - 2*x + 4*x) + x**3 + 2*x**3 - x**3.
-6*x**3
Expand (-3*s + 5*s - 3*s)*(3 - 7 + 3)*(-3 + 1 + 0 + (-3 - 2 - 4)*(-2 + 1 + 2)).
-11*s
Expand (2 - 2 - 2)*(-140 + 140 - 43*f + 188*f).
-290*f
Expand (4 - 4 + 3*o**2)*(-o + 7*o + 3*o) + (4 - 2*o - 9 - o**2 + o)*(-o + 0 + 0).
28*o**3 + o**2 + 5*o
Expand 2*n**5 - 3*n**5 + 3*n**5 + (0*n**3 - n**3 + 0*n**3)*(-n**2 - 3*n + 3*n) + (2*n**2 - 2*n**2 + n**2)*(2*n + n - 59*n)*(6*n**2 + n**2 - 4*n**2).
-165*n**5
Expand (0 - 1 + 0)*(-48*s - 25*s - 74*s - s + 3 - 3 - s + 2*s - 2*s + (0*s + 0*s + 2*s)*(1 - 3 + 1) + 0*s - 2*s + 0*s).
153*s
Expand (-37 - 6*b + 74 - 35)*(0 + 4 + 6).
-60*b + 20
Expand (n - 4*n + 4*n)*(6*n**3 + 6*n**3 - 13*n**3) + 0*n**4 + 6*n**4 - 8*n**4.
-3*n**4
Expand (3*w**2 + w**2 - w**2)*(7*w**2 - 3*w**2 - 11*w**2) + (0*w + 3*w - 2*w)*(-2*w**3 - w**3 + w**3).
-23*w**4
Expand (t**4 + t**4 - t**4)*(18 - 4 + 4) + (4*t - t - 2*t)*(-2*t**3 + 0 + 0) - 4*t**4 - 2*t**4 + 4*t**4 - t**3 + t**3 + t**4.
15*t**4
Expand (6*z**4 - 3 + 3)*(z + 3*z - 6*z) + 20*z**5 - 43*z**3 + 43*z**3.
8*z**5
Expand 42*h**2 - 6*h**2 - h**2 + (-2*h - 4 + 4)*(-5*h + 3*h + 3*h).
33*h**2
Expand 9*k**3 - 18*k + 18*k - 7*k**3 + 4 - 4 + (-k + k - k**2)*(-2*k + 4*k - k) + 0*k**3 - k**3 + 2*k**3.
2*k**3
Expand (-2*o - o + 2*o)*(-810 - 1693 + 335 + 461 - 1378).
3085*o
Expand (0 + 3 + 2)*(-4*g**5 + 6*g**5 - 3*g**5) + 7*g**5 + 17*g**3 - 17*g**3.
2*g**5
Expand (5*l - 10 + 10)*(3*l**3 + l**2 - l**2) + (l**3 + 4 - 4)*(2 - 2 + l) + 5*l**4 + 7*l**4 - 5*l**4.
23*l**4
Expand -76*u + 14 + 12 + 13 - 61 + (2 + 2*u - 2)*(-1 + 0 + 3).
-72*u - 22
Expand 5*t - 5*t - 2*t**2 + (0*t + 0*t - 2*t**2)*(24 + 44 + 31).
-200*t**2
Expand (1 + 1 - 2*i - 3)*((-1 + 3 + 0)*(4 - 4 - 2) + 3 - 5 + 3 - 49 + 23 - 39).
136*i + 68
Expand (-4*u + 3*u**4 + 4*u)*(-2*u + 3*u + 0*u) + (-3*u**4 - 15*u**4 + 9*u**4)*(-3*u - 3 + 3) + u**5 + 5*u**5 - 4*u**5.
32*u**5
Expand (-32*v - 52*v + 108*v)*(6 - 4 - 3) + (-2 - 2 + 2)*(2*v - 2*v - 2*v).
-20*v
Expand (-25 + 6 - 72)*(4*f**4 - 4*f**4 - 3*f**4).
273*f**4
Expand (-2*g**3 + 0*g**3 + 0*g**3)*(-3 - 26*g**2 + 21*g - 21*g).
52*g**5 + 6*g**3
Expand (-2*m**3 + 1 - 1)*(3*m + 4*m - 5*m) - 52*m**3 + 11*m**4 - m**4 + 54*m**3.
6*m**4 + 2*m**3
Expand (-4 + 3 + 4)*(-3 - 46*a - 62*a + 126*a).
54*a - 9
Expand ((-2 + 0 + 0)*(-1 + 1 + 1) - 1 - 1 + 1 + 0 + 1 - 2)*(1 + 0 + 1)*(3*a - a - 7*a)*(-4 + 3 + 2).
40*a
Expand (2*a - 5*a + 4*a)*(-3*a**4 - 7*a**3 + 7*a**3) + a**3 - a**5 - a**3 + 31*a**4 - 7*a**5 - 31*a**4.
-11*a**5
Expand (2 - 2 - v + (1 + 0 + 1)*(2*v + 3 - 3) + 4*v - 2*v - 4*v + 2*v - 3 + 3 + 4823 - 4823 - 94*v)*(6*v - 2*v + 0*v).
-364*v**2
Expand (j**3 + 0*j**3 + j**3)*(-41*j**2 + 205*j**2 + 30*j**2).
388*j**5
Expand (-22*h + 71*h - 31*h)*(0*h - 4*h + 3*h) + (h + 2*h + 1 - 4*h)*(-4*h - h + 6*h).
-19*h**2 + h
Expand (-2*j - 5 + 5)*(217*j + 179*j - 146*j + 2)*(-j - 2 + 2) + 2*j**3 - j + j.
502*j**3 + 4*j**2
Expand -5*i**3 + 4*i**3 + 3*i**3 + 3*i**3 - 5*i**3 + 3*i**3 - 25 + 25 - 8*i**3 + (-i + i - i)*(-i + i - i**2).
-4*i**3
Expand (21*h**2 - 24*h + 24*h)*(-h - 4*h - h).
-126*h**3
Expand (-5 - 9 + 5)*(j + 3*j - 2*j) + (-4 + 2 - 2)*(-4*j + 5*j + 2*j).
-30*j
Expand (-1 + 1 - 17)*(-6*o - 5*o + 0*o) + 2*o + 3*o - 2*o.
190*o
Expand -1825 + 1825 + 89*p + (0 + 2 - 1)*(p - p - 2*p).
87*p
Expand (2 - 2 - y)*(3*y**2 - y**2 + 0*y**2) + 0*y**3 - 4*y**3 - 3*y**3 + 6*y**3 + 4*y**3 - 2*y**3.
-y**3
Expand (-f**3 + f**3 - f**3)*(-7 + 17 + 14 + f).
-f**4 - 24*f**3
Expand 2*r**3 - 2*r**3 + 4*r**4 + ((-5*r + 3*r + 3*r)*(-3*r + 3*r + r**2) + 1 + r**3 - r - 1)*(6*r - 7 + 7).
16*r**4 - 6*r**2
Expand (-787 + 642 + 407)*(-3*k + 0*k + 6*k).
786*k
Expand (2*x - 1 + 1)*(1 + 3 - 2)*(-12 - 5 + 4).
-52*x
Expand (3*w**2 - 5*w**2 + w**2)*(2 - 2 + 6) - 189 + 189 + 292*w**2.
286*w**2
Expand (7*a**3 + 94*a - 94*a)*((1 - 1 + 1)*(-2 + 3 - 2) - 4 - 1 + 3 + (0 + 0 - 2)*(-1 - 4 + 3) - 4 + 2 + 0 - 1 + 6 - 2 - 2 - 1 + 4).
21*a**3
Expand (x - 7 + 7)*((-2*x + 0 + 0)*(x + x - x) + 7 - 5*x**2 - 7).
-7*x**3
Expand (-2*r + 2*r + 2*r)*(3 - 3 - 2*r**3) + 2*r**4 - 5*r**2 + 5*r**2 + (-21*r**3 + 8*r**3 - 29*r**3)*(-2*r + 4*r - 4*r).
82*r**4
Expand (4*k + 6*k + k)*((4 - 3 + 0)*(-6 + 3 + 1) + 3 - 4 + 0 + 3 + 0 - 2 + 0 - 1 + 2 - 1 - 3 + 2 + 2 - 2 - 2 + 3 - 2 + 0).
-44*k
Expand -149*w + 58*w**4 + 149*w + (-2*w**2 + 2*w**2 + 2*w**3)*(-2*w + w + 0*w) + w**4 + 2 - 2 - 4*w**4 + 7*w**4 + 5*w**4.
65*w**4
Expand (13 - 14 - 17 - 25)*(-34*t - 37*t + 45*t) + (-2 - 3 + 3)*(3 - 2*t - 3).
1122*t
Expand (-6 + 6 + 3*d**3 + (d**2 + d**2 - 3*d**2)*(-2*d - 2*d + 2*d))*(14 + 18 - 3*d - 27).
-15*d**4 + 25*d**3
Expand (-6*i - 30 + 30)*(1 - 4 + 2 - i)*(-3 + 2 + 3).
12*i**2 + 12*i
Expand n**5 + 0 + 0 + (0*n**2 + 4*n**2 - 5*n**2)*(-2769 - 42*n**3 + 2769).
43*n**5
Expand (96 + 29*z**3 - 96)*(3*z + 8 + 0*z - 6)*(1 - 1 + z + 0 + z + 0 + z - 3*z + z + (-1 + 2 - 3)*(-3*z - 4*z + 5*z) - z + 2 - 2 + 2*z + 3 - 3 - 1 + 1 + 3*z).
783*z**5 + 522*z**4
Expand (-101*l**3 + 101*l**3 + 35*l**4)*(-2 + 2*l + 2)*(1 + 0 - 2) + (-2*l**4 - l**4 + 2*l**4)*(-3*l - l + l).
-67*l**5
Expand (2
|
{
"pile_set_name": "DM Mathematics"
}
|
icrogram in nanograms?
200
What is 21/2 of a meter in millimeters?
10500
How many hours are there in 957.3563 weeks?
160835.8584
What is three tenths of a milligram in micrograms?
300
What is thirty-seven halves of a millisecond in microseconds?
18500
What is fifteen quarters of a meter in centimeters?
375
How many micrometers are there in 3/5 of a millimeter?
600
What is 9/10 of a decade in years?
9
What is 1/4 of a tonne in kilograms?
250
What is three tenths of a decade in years?
3
How many nanoseconds are there in 635551.6 weeks?
384381607680000000000
How many millilitres are there in seventeen halves of a litre?
8500
What is three tenths of a litre in millilitres?
300
How many months are there in fifty-nine thirds of a century?
23600
Convert 149049.3m to millimeters.
149049300
How many millilitres are there in 74/5 of a litre?
14800
How many millimeters are there in 2.665616nm?
0.000002665616
What is 1755.221cm in kilometers?
0.01755221
What is 805174.5 centimeters in micrometers?
8051745000
What is 0.1563966 kilograms in nanograms?
156396600000
What is one quarter of a milligram in micrograms?
250
What is 912789.1 years in centuries?
9127.891
What is 7/4 of a kilogram in grams?
1750
Convert 85134.07um to nanometers.
85134070
How many grams are there in 3/40 of a tonne?
75000
How many millimeters are there in 3/8 of a meter?
375
What is 45/2 of a century in decades?
225
How many kilograms are there in 6046.253mg?
0.006046253
Convert 70776.19 milligrams to grams.
70.77619
Convert 38.00142 milligrams to nanograms.
38001420
How many years are there in 0.2058289 centuries?
20.58289
What is 25/4 of a millimeter in micrometers?
6250
How many nanograms are there in 0.3324835 tonnes?
332483500000000
What is two fifteenths of a day in minutes?
192
How many years are there in 1/5 of a century?
20
Convert 1.886458 nanograms to grams.
0.000000001886458
Convert 1389370.86s to days.
16.08068125
How many kilograms are there in 12/25 of a tonne?
480
How many litres are there in 0.1749777 millilitres?
0.0001749777
How many nanograms are there in six fifths of a microgram?
1200
How many months are there in 1/15 of a decade?
8
What is 4555.131 meters in millimeters?
4555131
Convert 23788.8873us to days.
0.00000027533434375
How many micrograms are there in 0.9920876ng?
0.0009920876
How many milliseconds are there in 8.887242 weeks?
5375003961.6
How many milliseconds are there in 54.1752us?
0.0541752
Convert 6.70989 milligrams to grams.
0.00670989
What is 1100.599ng in micrograms?
1.100599
How many meters are there in 246264.7 kilometers?
246264700
What is 89716.8mm in centimeters?
8971.68
How many nanometers are there in fifty-nine fifths of a micrometer?
11800
Convert 703.6148 kilograms to nanograms.
703614800000000
What is 2746914.9 months in millennia?
228.909575
What is 209.180178 milliseconds in days?
0.000002421066875
Convert 199.5421 days to minutes.
287340.624
What is twenty-nine thirds of a week in minutes?
97440
How many micrometers are there in three eighths of a millimeter?
375
What is thirteen quarters of a litre in millilitres?
3250
Convert 2463.925 weeks to milliseconds.
1490181840000
How many weeks are there in 5273.744 days?
753.392
How many microseconds are there in 4594.278 milliseconds?
4594278
What is 1/10 of a litre in millilitres?
100
What is fifty-two fifths of a century in decades?
104
What is seventy-one quarters of a litre in millilitres?
17750
How many years are there in 1102354.8 months?
91862.9
How many minutes are there in three tenths of a hour?
18
What is 8/25 of a litre in millilitres?
320
How many millilitres are there in 21/4 of a litre?
5250
How many millimeters are there in 21/4 of a meter?
5250
How many centimeters are there in 1/20 of a meter?
5
Convert 49.313ml to litres.
0.049313
How many millimeters are there in thirty-seven halves of a centimeter?
185
How many hours are there in 1145813.1 minutes?
19096.885
What is 11/8 of a week in minutes?
13860
How many millimeters are there in 447.6944 kilometers?
447694400
How many seconds are there in 1/20 of a minute?
3
What is 2242.005 litres in millilitres?
2242005
Convert 156.2222 kilometers to millimeters.
156222200
What is 0.1587212nm in centimeters?
0.00000001587212
Convert 85079.65s to milliseconds.
85079650
What is 88/3 of a day in minutes?
42240
What is 700080.6 litres in millilitres?
700080600
What is 892380.3um in meters?
0.8923803
How many grams are there in seven quarters of a kilogram?
1750
How many months are there in 376.5433 decades?
45185.196
What is 61.57306 litres in millilitres?
61573.06
How many millilitres are there in 5/8 of a litre?
625
How many minutes are there in five quarters of a day?
1800
How many grams are there in 0.5866507 nanograms?
0.0000000005866507
What is 25/2 of a tonne in kilograms?
12500
How many decades are there in 1/10 of a millennium?
10
How many minutes are there in twenty-five quarters of a day?
9000
How many micrometers are there in 6/25 of a centimeter?
2400
Convert 4.63985 millilitres to litres.
0.00463985
How many seconds are there in 1/9 of a day?
9600
How many centuries are there in 24106.428 months?
20.08869
What is 20.711478 months in centuries?
0.017259565
Convert 55.71269ug to tonnes.
0.00000000005571269
What is 25/4 of a day in hours?
150
How many days are there in 154994.553ms?
0.0017939184375
Convert 446.4414ng to tonnes.
0.0000000000004464414
What is 25/4 of a litre in millilitres?
6250
What is 648368.5m in millimeters?
648368500
How many years are there in 1/5 of a millennium?
200
How many months are there in 8/3 of a century?
3200
Convert 7999.137 nanometers to centimeters.
0.0007999137
How many kilograms are there in 810.9744 milligrams?
0.0008109744
Convert 1828.48941 seconds to days.
0.021163071875
What is three tenths of a micrometer in nanometers?
300
What is 22.8177999 milliseconds in weeks?
0.00000003772784375
How many millilitres are there in 21/4 of a litre?
5250
Convert 0.625275 meters to centimeters.
62.5275
What is 601397.9 grams in nanograms?
601397900000000
How many microseconds are there in 5127.874ns?
5.127874
What is 17/4 of a litre in millilitres?
4250
What is 1/10 of a gram in micrograms?
100000
Convert 0.2537636l to millilitres.
253.7636
How many grams are there in 3/32 of a tonne?
93750
How many centuries are there in 3158.81 millennia?
31588.1
How many days are there in 25390762.2ms?
0.2938745625
What is thirteen eighths of a milligram in micrograms?
1625
What is 3/40 of a meter in micrometers?
75000
How many kilograms are there in six fifths of a tonne?
1200
What is 41.203 milligrams in nanograms?
41203000
What is 0.4833207 micrometers in kilometers?
0.0000000004833207
What is 86933.14 centuries in months?
104319768
What is 29/2 of a millennium in years?
14500
What is 461.2228mm in meters?
0.4612228
Convert 4707142.2 nanoseconds to days.
0.0000000544808125
What is five eighths of a litre in millilitres?
625
What is seven quarters of a week in hours?
294
How many millimeters are there in 1/64 of a kilometer?
15625
What is 260.96886 months in years?
21.747405
How many meters are there in 513955.9mm?
513.9559
What is 5/8 of a litre in millilitres?
625
Convert 6.295628 litres to millilitres.
6295.628
What is four thirds of a hour in seconds?
4800
Convert 502247.2 centuries to millennia.
50224.72
What is 4/15 of a millennium in months?
3200
How many milligrams are there in 47619.28 kilograms?
47619280000
What is 55/2 of a litre in millilitres?
27500
What is 34.73999 hours in seconds?
125063.964
Convert 0.7803613 litres to millilitres.
780.3613
How many decades are there in 5.899022 millennia?
589.9022
How many micrometers are there in 2.517757km?
2517757000
Convert 86.57693 centuries to decades.
865.7693
How many nanograms are there in 338.863kg?
338863000000000
What is 98.13873 millilitres in litres?
0.09813873
How many kilometers are there in 1861.921m?
1.861921
What is 26/5 of a week in minutes?
52416
How many nanograms are there in 47/4 of a microgram?
11750
What is 16/15 of a century in months?
1280
Convert 395236.9cm to nanometers.
3952369000000
Convert 85893.15 meters to millimeters.
85893150
Convert 74683.57 litres to millilitres.
74683570
Convert 4.9170457 days to weeks.
0.7024351
|
{
"pile_set_name": "DM Mathematics"
}
|
y = 5 - 1. Suppose -2*l + y*q + 140 = 2*l, -4*l - 2*q + 140 = 0. Calculate the remainder when l is divided by 12.
11
Suppose 5*w - 85 = -3*f + 91, 0 = -5*w - 5*f + 180. What is the remainder when w is divided by 19?
15
Let l(q) = 7*q - 4*q + q**2 - 9 - 3*q. What is the remainder when l(-8) is divided by 19?
17
Let n(l) = l - 10. Let w be n(11). Calculate the remainder when (-294)/(-4) + w/2 is divided by 19.
17
Let o = 34 + -22. Let g be 6/21 + o/7. Suppose 72 = 4*b - 4*a, -3*b - b + 42 = g*a. Calculate the remainder when b is divided by 8.
5
Suppose 4*j - 3*a - 482 = 0, -7*j + 5*a = -2*j - 605. Calculate the remainder when j is divided by 30.
29
Suppose 4*w = -d + 57, -88 - 2 = -5*w - 5*d. Suppose -6*o = -2*o - 20. What is the remainder when w is divided by o?
3
Let c be 126/4 - 6/(-4). Let z be 20*(-1 + c/15). Let j = z - 11. What is the remainder when 38 is divided by j?
12
Suppose -d + 63 = 2*n, d - 15 = -4*d. Calculate the remainder when 78 is divided by n.
18
Let i(y) = 3*y**2 - y**3 - 1 + 2*y**3 + y**2 - 3*y**2 + y. What is the remainder when 24 is divided by i(2)?
11
Suppose -3*j + 6*j = 0. Suppose j*p + 2*p = 6. Calculate the remainder when (-13)/((-3)/(p + 6)) is divided by 20.
19
Suppose 2 = 6*n - 76. What is the remainder when 62 is divided by n?
10
Let y be 1/(-4) - (-26)/8. Calculate the remainder when 7 is divided by (y - 2)*-1*-4.
3
Let u be 6/(-15) - 114/15. Let y(v) = v**3 + 7*v**2 - 10*v - 5. Calculate the remainder when y(u) is divided by 2/8 + (-46)/(-8).
5
Let n = -2 + 5. Let i be (n + 6)/(6/20). Suppose -f + i = f. Calculate the remainder when 43 is divided by f.
13
Suppose -3*u - 37 = -4*i, -5*i = -0*i - 3*u - 44. Suppose -3*f = 4*x - 78 - i, f = -4*x + 95. Let q(v) = v + 3. What is the remainder when x is divided by q(4)?
4
Let i(c) = c**3 + 3*c**2 - 2*c - 3. Suppose 15 = 3*w + 3*l, -2*l + 6 - 2 = -w. Suppose k + w*k = 21. What is the remainder when k is divided by i(-3)?
1
Suppose 76*h - 71*h - 60 = 0. Let v = 13 + -6. What is the remainder when h is divided by v?
5
Let j be ((-2)/(-6))/(9/81). Calculate the remainder when 23 is divided by 0*1/j - -12.
11
Suppose 5 = -4*i - 3*f, 0*i - 3*f + 7 = -2*i. What is the remainder when 19/(-95) + 156/5 is divided by -22*1*i/4?
9
Suppose 0 = -5*y - 10, -2*y = 3*m - 75 - 29. What is the remainder when m is divided by (26/4)/(10/20)?
10
Suppose 4*u = -2*a + 26, -3*u - 2*a = -15 - 4. What is the remainder when u is divided by ((-1)/3)/((-3)/36)?
3
Suppose 2*y - 2*l = 8, 2*y + 3*l + 7 = -0. Let v be (-2 + 1 + 1)/(-2). Calculate the remainder when 2 is divided by 2/(y + v + 1).
0
Let w(z) = 8*z + 10. Calculate the remainder when 162 is divided by w(4).
36
Let c = -32 - -60. Calculate the remainder when 81 is divided by c.
25
Let w be (-1)/(-2)*(0 + 0). Let o = 3 - w. Suppose 5*q - 6*q + 7 = 0. What is the remainder when q is divided by o?
1
Suppose 0 = 2*x + 3*y - 13, y = 3*x - 7*x + 11. What is the remainder when (-22)/3*(-3)/x is divided by 4?
3
Let j(z) = -8*z - 5. Let u = -12 - -4. Calculate the remainder when j(u) is divided by 15.
14
Let y(z) = 3*z + 9. Calculate the remainder when 117 is divided by y(5).
21
Let h = -53 - -74. What is the remainder when 83 is divided by h?
20
Suppose 0 = u - 5*u + 100. Let y(x) = 2*x**2 - 4. Calculate the remainder when u is divided by y(3).
11
Let k(v) = -2*v - 12. What is the remainder when k(-12) is divided by 7?
5
Let w be (-2)/((-44)/12 - -3). Suppose w*s = 14 + 31. What is the remainder when 59 is divided by s?
14
Let y(h) = 14 + 11*h - 12*h - h**2 - h**3 + 11. Let f be y(0). Suppose -5*m + f = -15. What is the remainder when 21 is divided by m?
5
Suppose u + 25 = 2*s, -5*u + 70 = 4*s + s. Calculate the remainder when 20 is divided by s.
7
Let k(b) = 2*b**2 - 7*b + 9. Let v(c) = -3*c**2 - 28*c + 12. What is the remainder when k(6) is divided by v(-9)?
18
Suppose 0*m + 2*m + 69 = 5*f, -5*f + 60 = -5*m. Calculate the remainder when f is divided by 4.
3
Suppose 3 = -4*u + 131. Suppose 0 = 2*r + 2*r - u. What is the remainder when 22 is divided by r?
6
Suppose 0 = -12*u + 9*u - 147. What is the remainder when 82 is divided by (1 - -5)*u/(-14)?
19
Let p = 5 - 1. Calculate the remainder when 4 is divided by p.
0
Let u = 32 - 30. Suppose u*t + 52 = 68. Let j(l) = l**3 + 7*l**2 + 3*l - 5. Calculate the remainder when j(-5) is divided by t.
6
Let r be -5 - (0 + -4) - -3. Suppose -2*o - r*o - 211 = -5*h, 0 = -5*o - 20. Let q(z) = 9*z + 2. What is the remainder when h is divided by q(2)?
19
Suppose 3*o = 5*y - 0 - 29, 4*y - 4*o = 28. Suppose -36 = y*p - 0*p. Let i(r) = -r**2 - 9*r + 13. Calculate the remainder when i(p) is divided by 7.
6
Suppose 5*b = b + 28. Let t = b - 5. Suppose -a + 2 = -t*a, 88 = 4*h + 4*a. Calculate the remainder when h is divided by 13.
11
Let i(j) = -j**3 - 4*j**2 + 3*j + 2. Let y be i(-5). What is the remainder when 40 is divided by (-8)/3*(-63)/y?
12
Suppose 0 = 2*s - 4, -2*y = 2*s + 19 - 59. Calculate the remainder when 68 is divided by y.
14
Let x(m) = m + 7. Let n be x(-7). Let a = n + 5. Suppose -43 + 8 = -a*l. What is the remainder when l is divided by 4?
3
Let c = 32 - -13. Let q = -19 + c. Suppose -3*f = -0*f - 27. Calculate the remainder when q is divided by f.
8
Suppose z - 17 = -0. Suppose 0 = -2*i + 7 + 5. Let x = z - i. Calculate the remainder when 41 is divided by x.
8
Let a = 153 - 90. What is the remainder when a is divided by 23?
17
Suppose 0 = c + 5*i, 4*i - 3*i - 8 = -c. Let h = -61 - -98. What is the remainder when h is divided by c?
7
Calculate the remainder when -4 - (-2*45 + 2) is divided by 19.
8
Let r(z) = 4*z**2 - 5*z - 5. Let b be r(-3). Suppose b = 3*l - l. What is the remainder when l is divided by 8?
7
Let l(n) = 1 + 3 - 3 + 3*n**2 + n. What is the remainder when l(4) is divided by 14?
11
Let u = -48 + 91. Let t(q) = -q + 3. Let m be t(0). What is the remainder when u is divided by 13 + 4 + (m - 5)?
13
Let i(m) = 2*m**2 - 5*m + 3. Let w be i(3). Suppose 3*h + 2*j + 5 = 0, -3*h + 15 = -3*j - 0. Calculate the remainder when h is divided by 7/(-42) - (-7)/w.
0
Let r = -4 + 71. Calculate the remainder when r is divided by 17.
16
Suppose 5*b - 4 = 3*b + 2*i, -i + 10 = -5*b. Let m = b - -15. Calculate the remainder when 23 is divided by m.
11
Suppose 5*v + 0 = 35. Let x(b) = b**2. Suppose -4*m = 3*o + 2, -3*m + 5 = -2*o + 15. Calculate the remainder when v is divided by x(m).
3
Suppose -3*m + 6*m = 21. Calculate the remainder when m is divided by 2.
1
Let k = 132 - 120. Calculate the remainder when 22 is divided by k.
10
Suppose 0 = x - 2*x. Suppose x = -y + 7 + 22. What is the remainder when y is divided by 8?
5
Let y be 26/8 + 2/(-8). Suppose 0 = f - y*f + 26. Calculate the remainder when 195/5 + (-6)/3 is divided by f.
11
Let f = -6 + 12. Calculate the remainder when (2/2)/((-9)/(-153)) is divided by f.
5
Let b(o) = -41*o + 1. Let g be b(1). What is the remainder when 3/2*g/(-6) is divided by -66 - -78 - (7 - 1)?
4
Suppose -2*p + 76 = -0*p. Let n(d) = -9*d**3 + d**2 - d - 1. What is the remainder when p is divided by n(-1)?
8
What is the remainder when 73 is divided by (-76)/6*9/(-6)?
16
What is the remainder when 95 is divided by ((-4)/(-10))/(1/50)?
15
Suppose -3*w - 4*c - 3 = 0, -c + 6 = 3*w - 0*w. Let v(h) = 2*h**3 - 4*h**2 - h + 2. What is the remainder when v(w) is divided by 6?
5
What is the remainder when 37 is divided by -3*(-4)/((-12)/(-19))?
18
Suppose 2*l - 17 = -2*y - l, -y = 4*l - 6. Suppose -5*u + 2 = 3*b, -b + 12 = b - 2*u. Suppose 166 = b*z + 50. Calculate the remainder when z is divided by y.
9
Let k = -37 - -51. What is the remainder when k is divided by 5?
4
Let w(a) = 52*a**3 + 2*a + 2. Let f be w(-2). What is the remainder when (-3)/(-15) - f/10 is divided by 11?
9
Suppose 0 = -3*u - 9, z = -5*u - 3 - 12. Suppose -3*a + 117 = -z*a. What is the remainder when a is divided by 14?
11
Let w(g) = -g**2 - 4*g + 1. Let h(f) = -f - 4. Let b be h(0). Let i be ((-2)/4)/(b/(-24)). Calculate the remainder when w(i) is divided by 3.
1
Suppose p + p = 2, 4*m + 5*p = 93. Calculate the remainder when 86 is divided by m.
20
Let i(a) = a**3 - 4*a**2 + 3*a - 1. Let b be i(3). Let q = 1 + b. Suppose -5*u + 4*u + 11 = q. What is the remainder when u is divided by 6?
5
Let j be 2/5 - (-336
|
{
"pile_set_name": "DM Mathematics"
}
|
ultiple of 80 and 2000.
2000
Calculate the smallest common multiple of 5 and 120.
120
Calculate the common denominator of 65/18 and 91/24.
72
What is the lowest common multiple of 20 and 7250?
14500
Calculate the least common multiple of 9 and 473.
4257
Calculate the least common multiple of 6 and 4170.
4170
Calculate the smallest common multiple of 9 and 16.
144
Find the common denominator of -49/5196 and -3/10.
25980
Calculate the lowest common multiple of 40 and 110.
440
Calculate the smallest common multiple of 4 and 4.
4
Calculate the common denominator of 29/312 and 149/6.
312
Calculate the lowest common multiple of 4 and 460.
460
Calculate the common denominator of 41/40 and 101/12.
120
Calculate the common denominator of 53/1100 and 43/300.
3300
What is the lowest common multiple of 2 and 86?
86
What is the smallest common multiple of 164 and 1927?
7708
Find the common denominator of 39/5 and 18/5.
5
Calculate the lowest common multiple of 9851 and 2.
19702
What is the smallest common multiple of 225 and 3050?
27450
Calculate the common denominator of -77/54 and -37/1114.
30078
Calculate the least common multiple of 16 and 60.
240
What is the common denominator of 42/65 and 48/11?
715
Calculate the smallest common multiple of 9 and 1866.
5598
Calculate the lowest common multiple of 5721 and 1.
5721
Calculate the smallest common multiple of 2184 and 6.
2184
Calculate the lowest common multiple of 180 and 72.
360
What is the smallest common multiple of 4 and 12?
12
Find the common denominator of -145/24 and -35/114.
456
What is the least common multiple of 6 and 282?
282
What is the least common multiple of 5121 and 3?
5121
What is the common denominator of -41/1059 and 113/12?
4236
Find the common denominator of -2/1265 and 73/6578.
32890
What is the common denominator of 17/294 and -5/42?
294
Calculate the common denominator of 59/14 and -95/1508.
10556
What is the least common multiple of 957 and 6?
1914
What is the least common multiple of 450 and 1800?
1800
Calculate the smallest common multiple of 15 and 1563.
7815
What is the common denominator of 4/15 and 43/807?
4035
Calculate the common denominator of -17/27 and -43/9216.
27648
Calculate the common denominator of -97/16 and -31/128.
128
What is the smallest common multiple of 871 and 26?
1742
What is the least common multiple of 108 and 564?
5076
Calculate the common denominator of 79/15648 and -33.
15648
What is the lowest common multiple of 9120 and 912?
9120
Find the common denominator of 169/126 and -77/531.
7434
Calculate the lowest common multiple of 215 and 602.
3010
Find the common denominator of -76/21 and -77/4.
84
Calculate the common denominator of -39/1765 and -86/5295.
5295
Calculate the smallest common multiple of 6369 and 4632.
50952
Find the common denominator of 43/16 and -113/37392.
37392
What is the smallest common multiple of 1 and 3464?
3464
What is the lowest common multiple of 64 and 176?
704
Find the common denominator of -23/11442 and -11/6.
11442
What is the lowest common multiple of 11 and 661?
7271
Calculate the common denominator of -7/100 and 101/580.
2900
Calculate the smallest common multiple of 2378 and 20.
23780
What is the least common multiple of 412 and 4?
412
Calculate the smallest common multiple of 8 and 1854.
7416
Calculate the lowest common multiple of 11 and 3652.
3652
Calculate the common denominator of -24/7 and -46/933.
6531
Calculate the smallest common multiple of 3204 and 1869.
22428
What is the smallest common multiple of 11847 and 18?
71082
Calculate the smallest common multiple of 4200 and 312.
54600
What is the lowest common multiple of 9 and 17?
153
Calculate the lowest common multiple of 600 and 1200.
1200
Calculate the common denominator of -37/770 and 64/45.
6930
Calculate the lowest common multiple of 15 and 1180.
3540
Calculate the common denominator of -49/4479 and 59/30.
44790
Calculate the smallest common multiple of 1221 and 220.
24420
What is the least common multiple of 36 and 2732?
24588
What is the common denominator of 47/40 and -25/1268?
12680
Calculate the common denominator of 18/769 and -25/6.
4614
Calculate the common denominator of 107/200 and 23/190.
3800
Calculate the smallest common multiple of 28 and 8.
56
What is the common denominator of -5/12 and 103/552?
552
Calculate the least common multiple of 1352 and 7.
9464
Calculate the common denominator of 17/30 and 87/50.
150
Calculate the common denominator of -51/8995 and 42/55.
98945
Calculate the smallest common multiple of 120 and 36.
360
What is the smallest common multiple of 4 and 34?
68
Calculate the common denominator of 95/378 and 65/6.
378
Find the common denominator of -69/260 and 121/130.
260
What is the smallest common multiple of 90 and 2250?
2250
What is the least common multiple of 70 and 35?
70
Calculate the lowest common multiple of 10 and 235.
470
Calculate the least common multiple of 608 and 1672.
6688
What is the common denominator of 73/5934 and -53/8?
23736
Calculate the common denominator of 27/1100 and 13/33.
3300
Calculate the common denominator of 11/70 and 39/20.
140
Calculate the common denominator of -125/36 and 73/396.
396
Calculate the smallest common multiple of 33 and 6.
66
What is the smallest common multiple of 216 and 288?
864
What is the lowest common multiple of 480 and 30?
480
Calculate the common denominator of -133/6 and 99/190.
570
Find the common denominator of -91/228 and 53/184.
10488
Calculate the common denominator of 77/36 and 1/12.
36
Calculate the lowest common multiple of 10995 and 12.
43980
What is the least common multiple of 429 and 36?
5148
What is the smallest common multiple of 2288 and 11440?
11440
Calculate the common denominator of 64/8285 and -7/5.
8285
What is the lowest common multiple of 1133 and 1133?
1133
What is the least common multiple of 106 and 113?
11978
Calculate the smallest common multiple of 45 and 120.
360
Calculate the lowest common multiple of 66 and 36.
396
Calculate the lowest common multiple of 280 and 84.
840
What is the common denominator of 103/76 and 46/1653?
6612
What is the least common multiple of 752 and 658?
5264
What is the least common multiple of 1650 and 16?
13200
Calculate the common denominator of 65/2 and 109/34152.
34152
Find the common denominator of 157/210 and -133/18.
630
Calculate the common denominator of -30/7 and 3/155.
1085
What is the smallest common multiple of 60 and 28?
420
Find the common denominator of 127/2960 and -125/36.
26640
Calculate the common denominator of 103/6 and -131/96.
96
Find the common denominator of 93/2 and 25/4.
4
What is the smallest common multiple of 320 and 880?
3520
Find the common denominator of 67/4 and -97/28.
28
Calculate the least common multiple of 40 and 4.
40
Calculate the smallest common multiple of 2 and 100.
100
Calculate the common denominator of 117/20 and 123/80.
80
What is the lowest common multiple of 27 and 5793?
52137
Calculate the least common multiple of 2 and 8.
8
What is the common denominator of 25/1992 and -33/5312?
15936
Find the common denominator of 51/70 and -29/40.
280
Calculate the common denominator of -69/110 and 95/506.
2530
What is the least common multiple of 27 and 72?
216
Calculate the common denominator of 69/14 and -137/1368.
9576
What is the common denominator of -63/32 and 101/64?
64
What is the smallest common multiple of 1215 and 35?
8505
What is the least common multiple of 87 and 15?
435
What is the common denominator of 139/36 and -59/4300?
38700
What is the least common multiple of 158 and 28?
2212
Calculate the least common multiple of 88 and 184.
2024
What is the common denominator of -9 and -14/17?
17
What is the common denominator of -137/2130 and 61/84?
29820
Calculate the common denominator of -53/84 and 89/14.
84
Find the common denominator of -113/216 and 25/132.
2376
Calculate the common denominator of -91/592 and -5/28.
4144
What is the common denominator of 83/28 and 9/28?
28
What is the smallest common multiple of 6 and 5?
30
Calculate the common denominator of 71/364 and 47/3120.
21840
What is the common denominator of -47/16 and -113/2628?
10512
Calculate the lowest common multiple of 384 and 177.
22656
What is the smallest common multiple of 4446
|
{
"pile_set_name": "DM Mathematics"
}
|
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